path: root/source/blender/draw/engines/eevee/eevee_lut.h

/*
 * ***** BEGIN GPL LICENSE BLOCK *****
 *
 * 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.
 *
 * The Original Code is Copyright (C) 2005 Blender Foundation.
 * All rights reserved.
 *
 * The Original Code is: all of this file.
 *
 * Contributor(s): Clement Foucault.
 *
 * ***** END GPL LICENSE BLOCK *****
 */

/** \file eevee_lut.h
 *  \ingroup gpu
 */

#ifndef __EEVEE_LUT_H__
#define __EEVEE_LUT_H__

static float ltc_mat_ggx[64 * 64 * 4] = {
	0.000200, -0.000000, 1.000000, -0.000000, 0.000504, -0.000000, 1.000000, -0.000000, 0.002016,
	-0.000000, 1.000000, -0.000000, 0.004535, -0.000000, 1.000000, -0.000000, 0.008063, -0.000000,
	1.000000, -0.000000, 0.012598, -0.000000, 1.000000, -0.000000, 0.018141, -0.000000, 1.000000,
	-0.000000, 0.024692, -0.000000, 1.000000, -0.000000, 0.032252, -0.000000, 1.000000, -0.000000,
	0.040821, -0.000000, 1.000000, -0.000000, 0.050400, -0.000000, 1.000000, -0.000000, 0.060989,
	-0.000000, 1.000000, -0.000000, 0.072591, -0.000000, 1.000000, -0.000000, 0.085206, -0.000000,
	1.000000, -0.000000, 0.098836, -0.000000, 1.000000, -0.000000, 0.113483, -0.000000, 1.000000,
	-0.000000, 0.129147, -0.000000, 1.000000, -0.000000, 0.145828, -0.000000, 1.000000, -0.000000,
	0.163499, -0.000000, 1.000000, -0.000000, 0.181972, -0.000000, 1.000000, -0.000000, 0.199498,
	-0.000000, 1.000000, -0.000000, 0.220031, -0.000000, 1.000000, -0.000000, 0.241588, -0.000000,
	1.000000, -0.000000, 0.264120, -0.000000, 1.000000, -0.000000, 0.287521, -0.000000, 1.000000,
	-0.000000, 0.311478, -0.000000, 1.000000, -0.000000, 0.335127, -0.000000, 1.000000, -0.000000,
	0.359811, -0.000000, 1.000000, -0.000000, 0.386446, -0.000000, 1.000000, -0.000000, 0.413161,
	-0.000000, 1.000000, -0.000000, 0.439142, -0.000000, 1.000000, -0.000000, 0.467039, -0.000000,
	1.000000, -0.000000, 0.495170, -0.000000, 1.000000, -0.000000, 0.522324, -0.000000, 1.000000,
	-0.000000, 0.551482, -0.000000, 1.000000, -0.000000, 0.579621, -0.000000, 1.000000, -0.000000,
	0.608255, -0.000000, 1.000000, -0.000000, 0.636515, -0.000000, 1.000000, -0.000000, 0.664835,
	-0.000000, 1.000000, -0.000000, 0.692549, -0.000000, 1.000000, -0.000000, 0.720375, -0.000000,
	1.000000, -0.000000, 0.747238, -0.000000, 1.000000, -0.000000, 0.773956, -0.000000, 1.000000,
	-0.000000, 0.799879, -0.000000, 1.000000, -0.000000, 0.824889, -0.000000, 1.000000, -0.000000,
	0.849357, -0.000000, 1.000000, -0.000000, 0.873016, -0.000000, 1.000000, -0.000000, 0.895670,
	-0.000000, 1.000000, -0.000000, 0.917194, -0.000000, 1.000000, -0.000000, 0.937978, -0.000000,
	1.000000, -0.000000, 0.957872, -0.000000, 1.000000, -0.000000, 0.976736, -0.000000, 1.000000,
	-0.000000, 0.994433, -0.000000, 1.000000, -0.000000, 1.011206, -0.000000, 1.000000, -0.000000,
	1.026820, -0.000000, 1.000000, -0.000000, 1.041720, -0.000000, 1.000000, -0.000000, 1.055657,
	-0.000000, 1.000000, -0.000000, 1.068642, -0.000000, 1.000000, -0.000000, 1.080646, -0.000000,
	1.000000, -0.000000, 1.091637, -0.000000, 1.000000, -0.000000, 1.101837, -0.000000, 1.000000,
	-0.000000, 1.111292, -0.000000, 1.000000, -0.000000, 1.120025, -0.000000, 1.000000, -0.000000,
	1.127918, -0.000000, 1.000000, -0.000000, 0.000200, -0.000005, 1.000623, 0.024938, 0.000504,
	-0.000013, 1.000643, 0.024938, 0.002016, -0.000050, 1.000618, 0.024938, 0.004535, -0.000113,
	1.000621, 0.024938, 0.008063, -0.000201, 1.000746, 0.024938, 0.012596, -0.000314, 1.000463,
	0.024937, 0.018140, -0.000452, 1.000511, 0.024939, 0.024693, -0.000616, 1.000541, 0.024938,
	0.032253, -0.000804, 1.000684, 0.024938, 0.040815, -0.001018, 1.000524, 0.024940, 0.050399,
	-0.001257, 1.000582, 0.024937, 0.060989, -0.001521, 1.000655, 0.024937, 0.072591, -0.001810,
	1.000608, 0.024938, 0.085204, -0.002125, 1.000622, 0.024939, 0.098835, -0.002465, 1.000632,
	0.024937, 0.113483, -0.002830, 1.000640, 0.024939, 0.129143, -0.003220, 1.000568, 0.024938,
	0.145830, -0.003633, 1.000635, 0.024938, 0.163497, -0.004062, 1.000626, 0.024938, 0.181956,
	-0.004424, 1.000612, 0.024924, 0.199791, -0.004593, 1.000627, 0.024890, 0.220029, -0.005480,
	1.000594, 0.024935, 0.241586, -0.006010, 1.000616, 0.024933, 0.264115, -0.006550, 1.000607,
	0.024927, 0.287514, -0.007072, 1.000595, 0.024909, 0.311455, -0.007472, 1.000616, 0.024872,
	0.335083, -0.007491, 1.000589, 0.024755, 0.359805, -0.008810, 1.000601, 0.024877, 0.386438,
	-0.009282, 1.000640, 0.024824, 0.413131, -0.009534, 1.000599, 0.024708, 0.439249, -0.009701,
	1.000497, 0.024573, 0.466997, -0.010878, 1.000467, 0.024652, 0.495138, -0.010959, 1.000539,
	0.024455, 0.522654, -0.011386, 1.000518, 0.024318, 0.551415, -0.012022, 1.000533, 0.024216,
	0.579610, -0.011805, 1.000495, 0.023867, 0.608185, -0.012773, 1.000474, 0.023834, 0.636492,
	-0.012377, 1.000488, 0.023327, 0.664826, -0.013172, 1.000576, 0.023205, 0.692674, -0.012847,
	1.000505, 0.022708, 0.720341, -0.013141, 1.000424, 0.022349, 0.747373, -0.013227, 1.000449,
	0.021871, 0.773980, -0.012739, 1.000478, 0.021171, 0.799839, -0.012999, 1.000396, 0.020606,
	0.825113, -0.012727, 1.000425, 0.020006, 0.849579, -0.012170, 1.000469, 0.019089, 0.873046,
	-0.011855, 1.000411, 0.018291, 0.895777, -0.011711, 1.000426, 0.017534, 0.917518, -0.011107,
	1.000373, 0.016542, 0.938264, -0.010439, 1.000322, 0.015512, 0.958032, -0.009807, 1.000324,
	0.014491, 0.976838, -0.009268, 1.000341, 0.013468, 0.994631, -0.008662, 1.000318, 0.012376,
	1.011434, -0.007923, 1.000289, 0.011187, 1.027169, -0.007132, 1.000216, 0.010078, 1.041929,
	-0.006332, 1.000096, 0.008924, 1.055767, -0.005554, 1.000156, 0.007770, 1.068595, -0.004811,
	1.000084, 0.006611, 1.080612, -0.003950, 1.000047, 0.005485, 1.091785, -0.003174, 1.000109,
	0.004352, 1.101998, -0.002363, 1.000029, 0.003180, 1.111423, -0.001552, 0.999985, 0.002091,
	1.120007, -0.000786, 0.999947, 0.000991, 1.127918, 0.000004, 1.000000, -0.000004, 0.000200,
	-0.000010, 1.002495, 0.049907, 0.000504, -0.000025, 1.002476, 0.049908, 0.002016, -0.000101,
	1.002500, 0.049908, 0.004535, -0.000226, 1.002487, 0.049908, 0.008062, -0.000402, 1.002364,
	0.049908, 0.012598, -0.000629, 1.002412, 0.049908, 0.018140, -0.000905, 1.002379, 0.049908,
	0.024691, -0.001232, 1.002490, 0.049907, 0.032251, -0.001610, 1.002398, 0.049908, 0.040821,
	-0.002037, 1.002392, 0.049908, 0.050398, -0.002515, 1.002431, 0.049907, 0.060989, -0.003044,
	1.002475, 0.049908, 0.072592, -0.003623, 1.002546, 0.049907, 0.085204, -0.004252, 1.002467,
	0.049907, 0.098832, -0.004932, 1.002450, 0.049908, 0.113481, -0.005663, 1.002482, 0.049907,
	0.129145, -0.006443, 1.002443, 0.049907, 0.145825, -0.007271, 1.002495, 0.049906, 0.163491,
	-0.008128, 1.002475, 0.049903, 0.181911, -0.008826, 1.002459, 0.049879, 0.200065, -0.009285,
	1.002443, 0.049824, 0.220025, -0.010966, 1.002450, 0.049897, 0.241581, -0.012025, 1.002463,
	0.049893, 0.264099, -0.013105, 1.002395, 0.049881, 0.287493, -0.014145, 1.002390, 0.049855,
	0.311399, -0.014925, 1.002414, 0.049769, 0.335096, -0.015239, 1.002363, 0.049591, 0.359815,
	-0.017559, 1.002415, 0.049777, 0.386365, -0.018554, 1.002354, 0.049675, 0.413017, -0.019043,
	1.002297, 0.049444, 0.439519, -0.019815, 1.002284, 0.049253, 0.466938, -0.021741, 1.002307,
	0.049327, 0.494999, -0.021887, 1.002181, 0.048922, 0.522922, -0.022844, 1.002107, 0.048677,
	0.551270, -0.024014, 1.002101, 0.048478, 0.579771, -0.024156, 1.002060, 0.047904, 0.608156,
	-0.025317, 1.002077, 0.047594, 0.636662, -0.025321, 1.001975, 0.046876, 0.664846, -0.026018,
	1.001992, 0.046354, 0.692877, -0.026041, 1.001846, 0.045504, 0.720316, -0.026252, 1.001846,
	0.044655, 0.747658, -0.026159, 1.001931, 0.043670, 0.774252, -0.026086, 1.001845, 0.042515,
	0.800179, -0.025653, 1.001794, 0.041211, 0.825525, -0.025170, 1.001787, 0.039823, 0.850013,
	-0.024788, 1.001806, 0.038409, 0.873593, -0.023992, 1.001688, 0.036767, 0.896343, -0.022985,
	1.001666, 0.034900, 0.918062, -0.022005, 1.001548, 0.033010, 0.938928, -0.021110, 1.001503,
	0.031143, 0.958667, -0.019893, 1.001341, 0.029059, 0.977457, -0.018546, 1.001194, 0.026888,
	0.995243, -0.017152, 1.001095, 0.024713, 1.012023, -0.015750, 1.001100, 0.022496, 1.027614,
	-0.014289, 1.000851, 0.020153, 1.042389, -0.012688, 1.000724, 0.017839, 1.056161, -0.011118,
	1.000572, 0.015529, 1.068968, -0.009540, 1.000407, 0.013240, 1.080866, -0.007963, 1.000258,
	0.010940, 1.091944, -0.006416, 1.000254, 0.008716, 1.102104, -0.004771, 1.000175, 0.006434,
	1.111571, -0.003056, 1.000148, 0.004169, 1.120084, -0.001458, 1.000050, 0.002033, 1.127981,
	0.000021, 0.999987, -0.000027, 0.000200, -0.000015, 1.005620, 0.074940, 0.000504, -0.000038,
	1.005650, 0.074939, 0.002016, -0.000151, 1.005613, 0.074939, 0.004535, -0.000340, 1.005618,
	0.074939, 0.008062, -0.000604, 1.005614, 0.074939, 0.012597, -0.000944, 1.005616, 0.074940,
	0.018141, -0.001359, 1.005558, 0.074939, 0.024695, -0.001851, 1.005495, 0.074940, 0.032253,
	-0.002417, 1.005616, 0.074939, 0.040822, -0.003059, 1.005591, 0.074940, 0.050399, -0.003777,
	1.005596, 0.074940, 0.060989, -0.004570, 1.005599, 0.074939, 0.072591, -0.005440, 1.005616,
	0.074940, 0.085203, -0.006385, 1.005616, 0.074939, 0.098833, -0.007406, 1.005595, 0.074938,
	0.113481, -0.008502, 1.005605, 0.074938, 0.129147, -0.009674, 1.005605, 0.074937, 0.145817,
	-0.010916, 1.005513, 0.074937, 0.163485, -0.012199, 1.005579, 0.074928, 0.181824, -0.013172,
	1.005552, 0.074885, 0.200274, -0.014100, 1.005524, 0.074825, 0.220017, -0.016464, 1.005529,
	0.074928, 0.241568, -0.018052, 1.005490, 0.074914, 0.264084, -0.019671, 1.005457, 0.074898,
	0.287450, -0.021217, 1.005431, 0.074860, 0.311281, -0.022341, 1.005395, 0.074717, 0.335228,
	-0.023296, 1.005320, 0.074526, 0.360047, -0.025965, 1.005302, 0.074649, 0.386273, -0.027808,
	1.005285, 0.074575, 0.412855, -0.028504, 1.005167, 0.074237, 0.439705, -0.030007, 1.005129,
	0.074013, 0.466975, -0.032263, 1.005082, 0.073967, 0.494874, -0.032931, 1.004960, 0.073475,
	0.523066, -0.034348, 1.004834, 0.073084, 0.551198, -0.035739, 1.004806, 0.072657, 0.579889,
	-0.036575, 1.004687, 0.072029, 0.608282, -0.037434, 1.004605, 0.071309, 0.636812, -0.038323,
	1.004589, 0.070507, 0.665010, -0.038676, 1.004403, 0.069424, 0.693063, -0.039237, 1.004340,
	0.068370, 0.720750, -0.039332, 1.004224, 0.066988, 0.747911, -0.039179, 1.004117, 0.065447,
	0.774576, -0.039110, 1.004035, 0.063838, 0.800737, -0.038542, 1.004027, 0.061923, 0.825966,
	-0.037966, 1.003825, 0.059859, 0.850534, -0.036943, 1.003786, 0.057529, 0.874289, -0.035853,
	1.003560, 0.055081, 0.897152, -0.034730, 1.003549, 0.052476, 0.919029, -0.033242, 1.003454,
	0.049647, 0.939851, -0.031508, 1.003215, 0.046670, 0.959599, -0.029695, 1.002916, 0.043588,
	0.978293, -0.027845, 1.002720, 0.040401, 0.996085, -0.025775, 1.002445, 0.037060, 1.012768,
	-0.023607, 1.002133, 0.033726, 1.028404, -0.021374, 1.001822, 0.030217, 1.043150, -0.019108,
	1.001602, 0.026820, 1.056760, -0.016823, 1.001274, 0.023372, 1.069471, -0.014378, 1.000964,
	0.019891, 1.081283, -0.011884, 1.000684, 0.016405, 1.092238, -0.009398, 1.000514, 0.012950,
	1.102384, -0.007030, 1.000319, 0.009579, 1.111737, -0.004751, 1.000225, 0.006384, 1.120274,
	-0.002404, 1.000046, 0.003192, 1.128182, 0.000031, 1.000020, 0.000033, 0.000200, -0.000020,
	1.010006, 0.100065, 0.000504, -0.000050, 1.009927, 0.100065, 0.002016, -0.000202, 1.010026,
	0.100064, 0.004535, -0.000454, 1.010018, 0.100065, 0.008062, -0.000807, 1.009891, 0.100064,
	0.012599, -0.001261, 1.010175, 0.100064, 0.018141, -0.001815, 1.010067, 0.100065, 0.024692,
	-0.002471, 1.010014, 0.100066, 0.032251, -0.003227, 1.009950, 0.100065, 0.040818, -0.004084,
	1.009963, 0.100067, 0.050401, -0.005043, 1.010032, 0.100064, 0.060988, -0.006102, 1.009979,
	0.100064, 0.072588, -0.007263, 1.009984, 0.100063, 0.085205, -0.008525, 1.010023, 0.100063,
	0.098832, -0.009888, 1.009960, 0.100062, 0.113479, -0.011352, 1.009974, 0.100063, 0.129142,
	-0.012916, 1.009945, 0.100062, 0.145817, -0.014573, 1.009924, 0.100058, 0.163468, -0.016276,
	1.009912, 0.100050, 0.181674, -0.017411, 1.009859, 0.099975, 0.200435, -0.019002, 1.009842,
	0.099932, 0.220005, -0.021978, 1.009820, 0.100043, 0.241550, -0.024096, 1.009778, 0.100031,
	0.264058, -0.026250, 1.009765, 0.100002, 0.287399, -0.028286, 1.009724, 0.099939, 0.311134,
	-0.029698, 1.009596, 0.099748, 0.335350, -0.031442, 1.009508, 0.099582, 0.360295, -0.034401,
	1.009475, 0.099613, 0.386112, -0.037030, 1.009329, 0.099558, 0.412733, -0.038163, 1.009250,
	0.099137, 0.439833, -0.040250, 1.009125, 0.098866, 0.467099, -0.042583, 1.009011, 0.098626,
	0.494828, -0.044299, 1.008803, 0.098149, 0.523217, -0.045876, 1.008712, 0.097600, 0.551338,
	-0.047440, 1.008509, 0.096929, 0.579917, -0.048995, 1.008371, 0.096178, 0.608454, -0.049901,
	1.008212, 0.095145, 0.636785, -0.051224, 1.007963, 0.094151, 0.665220, -0.051675, 1.007741,
	0.092728, 0.693194, -0.052278, 1.007616, 0.091195, 0.721008, -0.052406, 1.007327, 0.089384,
	0.748196, -0.052529, 1.007219, 0.087461, 0.774975, -0.051950, 1.006851, 0.085133, 0.801129,
	-0.051456, 1.006732, 0.082628, 0.826668, -0.050569, 1.006612, 0.079817, 0.851291, -0.049328,
	1.006374, 0.076710, 0.875056, -0.047988, 1.006183, 0.073481, 0.897872, -0.046149, 1.005742,
	0.069943, 0.919803, -0.044144, 1.005514, 0.066151, 0.940701, -0.042095, 1.005153, 0.062247,
	0.960580, -0.039730, 1.004843, 0.058158, 0.979427, -0.037104, 1.004535, 0.053850, 0.997157,
	-0.034369, 1.004023, 0.049403, 1.013777, -0.031555, 1.003622, 0.044944, 1.029452, -0.028571,
	1.003212, 0.040414, 1.044029, -0.025416, 1.002698, 0.035723, 1.057586, -0.022217, 1.002202,
	0.031072, 1.070148, -0.019037, 1.001703, 0.026429, 1.081875, -0.015936, 1.001322, 0.021896,
	1.092789, -0.012734, 1.001053, 0.017288, 1.102704, -0.009454, 1.000604, 0.012841, 1.112011,
	-0.006199, 1.000387, 0.008446, 1.120590, -0.003010, 1.000166, 0.004122, 1.128283, 0.000027,
	0.999956, -0.000038, 0.000200, -0.000025, 1.015664, 0.125315, 0.000504, -0.000063, 1.015664,
	0.125316, 0.002016, -0.000253, 1.015727, 0.125315, 0.004535, -0.000568, 1.015695, 0.125314,
	0.008063, -0.001010, 1.015823, 0.125316, 0.012599, -0.001579, 1.015867, 0.125315, 0.018141,
	-0.002273, 1.015758, 0.125316, 0.024691, -0.003094, 1.015662, 0.125316, 0.032252, -0.004042,
	1.015674, 0.125316, 0.040820, -0.005115, 1.015678, 0.125316, 0.050400, -0.006316, 1.015684,
	0.125315, 0.060989, -0.007642, 1.015685, 0.125315, 0.072590, -0.009096, 1.015703, 0.125314,
	0.085203, -0.010676, 1.015654, 0.125314, 0.098833, -0.012383, 1.015670, 0.125315, 0.113477,
	-0.014215, 1.015635, 0.125312, 0.129138, -0.016173, 1.015599, 0.125311, 0.145815, -0.018246,
	1.015610, 0.125306, 0.163450, -0.020360, 1.015564, 0.125294, 0.181595, -0.021807, 1.015460,
	0.125204, 0.200563, -0.023971, 1.015440, 0.125165, 0.220186, -0.027280, 1.015412, 0.125250,
	0.241528, -0.030164, 1.015342, 0.125267, 0.264020, -0.032847, 1.015269, 0.125233, 0.287311,
	-0.035345, 1.015232, 0.125138, 0.310993, -0.037108, 1.015063, 0.124903, 0.335467, -0.039653,
	1.014970, 0.124749, 0.360497, -0.042914, 1.014819, 0.124702, 0.385986, -0.046142, 1.014685,
	0.124623, 0.412703, -0.048050, 1.014543, 0.124193, 0.439929, -0.050527, 1.014315, 0.123833,
	0.467163, -0.052880, 1.014087, 0.123375, 0.494824, -0.055672, 1.013898, 0.122982, 0.523222,
	-0.057388, 1.013647, 0.122166, 0.551557, -0.059328, 1.013403, 0.121343, 0.579884, -0.061315,
	1.013059, 0.120430, 0.608619, -0.062531, 1.012745, 0.119140, 0.637014, -0.063778, 1.012425,
	0.117721, 0.665425, -0.064734, 1.012067, 0.116069, 0.693580, -0.065315, 1.011712, 0.114146,
	0.721194, -0.065535, 1.011200, 0.111846, 0.748586, -0.065501, 1.010896, 0.109309, 0.775437,
	-0.065091, 1.010576, 0.106504, 0.801554, -0.064332, 1.010136, 0.103308, 0.827079, -0.063078,
	1.009629, 0.099695, 0.851693, -0.061728, 1.009233, 0.095946, 0.875586, -0.059853, 1.008726,
	0.091802, 0.898589, -0.057727, 1.008412, 0.087339, 0.920421, -0.055377, 1.007767, 0.082687,
	0.941533, -0.052571, 1.007529, 0.077716, 0.961426, -0.049544, 1.006929, 0.072574, 0.980287,
	-0.046400, 1.006393, 0.067217, 0.998080, -0.042966, 1.005872, 0.061757, 1.014940, -0.039321,
	1.005346, 0.056072, 1.030455, -0.035585, 1.004609, 0.050410, 1.045078, -0.031823, 1.004151,
	0.044622, 1.058555, -0.027947, 1.003421, 0.038893, 1.071009, -0.023891, 1.002704, 0.032977,
	1.082594, -0.019822, 1.002023, 0.027290, 1.093265, -0.015765, 1.001403, 0.021543, 1.103132,
	-0.011790, 1.000944, 0.016072, 1.112348, -0.007784, 1.000550, 0.010511, 1.120845, -0.003849,
	1.000224, 0.005174, 1.128573, 0.000057, 0.999975, -0.000039, 0.000200, -0.000030, 1.022609,
	0.150725, 0.000504, -0.000076, 1.022728, 0.150725, 0.002016, -0.000304, 1.022728, 0.150725,
	0.004535, -0.000684, 1.022733, 0.150725, 0.008062, -0.001215, 1.022715, 0.150725, 0.012598,
	-0.001899, 1.022720, 0.150725, 0.018141, -0.002734, 1.022659, 0.150725, 0.024694, -0.003722,
	1.022801, 0.150724, 0.032254, -0.004861, 1.022779, 0.150726, 0.040815, -0.006152, 1.022693,
	0.150724, 0.050400, -0.007596, 1.022716, 0.150725, 0.060990, -0.009192, 1.022733, 0.150725,
	0.072587, -0.010939, 1.022630, 0.150723, 0.085203, -0.012839, 1.022676, 0.150725, 0.098828,
	-0.014891, 1.022659, 0.150725, 0.113473, -0.017095, 1.022589, 0.150720, 0.129137, -0.019449,
	1.022572, 0.150716, 0.145803, -0.021938, 1.022508, 0.150712, 0.163417, -0.024443, 1.022471,
	0.150691, 0.181580, -0.026329, 1.022406, 0.150600, 0.200667, -0.028997, 1.022336, 0.150553,
	0.220429, -0.032584, 1.022296, 0.150610, 0.241497, -0.036260, 1.022202, 0.150658, 0.263975,
	-0.039465, 1.022119, 0.150619, 0.287210, -0.042385, 1.021988, 0.150490, 0.310935, -0.044758,
	1.021771, 0.150241, 0.335556, -0.047922, 1.021658, 0.150076, 0.360667, -0.051493, 1.021437,
	0.149931, 0.386028, -0.054931, 1.021228, 0.149754, 0.412665, -0.058007, 1.021023, 0.149400,
	0.439951, -0.060813, 1.020723, 0.148913, 0.467262, -0.063461, 1.020332, 0.148319, 0.494972,
	-0.066738, 1.020097, 0.147798, 0.523153, -0.068976, 1.019630, 0.146903, 0.551700, -0.071268,
	1.019245, 0.145863, 0.580046, -0.073439, 1.018797, 0.144695, 0.608649, -0.075193, 1.018201,
	0.143237, 0.637239, -0.076536, 1.017746, 0.141463, 0.665388, -0.077771, 1.017111, 0.139462,
	0.693755, -0.078344, 1.016609, 0.137082, 0.721345, -0.078817, 1.015863, 0.134403, 0.748879,
	-0.078512, 1.015390, 0.131252, 0.775560, -0.078128, 1.014652, 0.127866, 0.801897, -0.077094,
	1.013877, 0.123928, 0.827193, -0.075863, 1.013021, 0.119733, 0.851990, -0.073973, 1.012395,
	0.115055, 0.875823, -0.071765, 1.011595, 0.110098, 0.898655, -0.069241, 1.010862, 0.104722,
	0.920915, -0.066232, 1.010185, 0.098991, 0.941969, -0.062980, 1.009588, 0.093044, 0.961882,
	-0.059507, 1.008777, 0.086925, 0.980952, -0.055606, 1.008252, 0.080520, 0.998955, -0.051503,
	1.007633, 0.073890, 1.015756, -0.047292, 1.006908, 0.067302, 1.031571, -0.042804, 1.006338,
	0.060412, 1.046095, -0.038132, 1.005512, 0.053497, 1.059542, -0.033380, 1.004592, 0.046569,
	1.072006, -0.028613, 1.003731, 0.039679, 1.083348, -0.023811, 1.002871, 0.032772, 1.093969,
	-0.018930, 1.002068, 0.025894, 1.103697, -0.014098, 1.001284, 0.019178, 1.112813, -0.009339,
	1.000820, 0.012652, 1.121193, -0.004661, 1.000324, 0.006226, 1.128930, 0.000052, 0.999988,
	-0.000008, 0.000200, -0.000035, 1.030857, 0.176327, 0.000504, -0.000089, 1.031137, 0.176326,
	0.002016, -0.000355, 1.031049, 0.176325, 0.004535, -0.000800, 1.031105, 0.176326, 0.008062,
	-0.001422, 1.030973, 0.176326, 0.012598, -0.002221, 1.031168, 0.176326, 0.018141, -0.003199,
	1.031093, 0.176326, 0.024695, -0.004354, 1.031297, 0.176326, 0.032253, -0.005687, 1.031091,
	0.176327, 0.040821, -0.007197, 1.031012, 0.176326, 0.050399, -0.008886, 1.031068, 0.176325,
	0.060987, -0.010752, 1.030967, 0.176323, 0.072588, -0.012797, 1.031028, 0.176324, 0.085200,
	-0.015019, 1.030985, 0.176322, 0.098829, -0.017419, 1.030983, 0.176320, 0.113474, -0.019997,
	1.030953, 0.176317, 0.129133, -0.022748, 1.030891, 0.176312, 0.145800, -0.025655, 1.030825,
	0.176306, 0.163372, -0.028510, 1.030781, 0.176279, 0.181578, -0.030914, 1.030683, 0.176187,
	0.200761, -0.034076, 1.030574, 0.176139, 0.220645, -0.037985, 1.030476, 0.176160, 0.241473,
	-0.042391, 1.030384, 0.176238, 0.263922, -0.046105, 1.030241, 0.176175, 0.287074, -0.049390,
	1.030049, 0.176013, 0.310915, -0.052511, 1.029839, 0.175776, 0.335604, -0.056236, 1.029608,
	0.175578, 0.360775, -0.060118, 1.029355, 0.175359, 0.386196, -0.063907, 1.029052, 0.175083,
	0.412599, -0.067997, 1.028766, 0.174791, 0.439916, -0.071088, 1.028326, 0.174174, 0.467444,
	-0.074247, 1.027890, 0.173487, 0.495132, -0.077728, 1.027374, 0.172774, 0.523117, -0.080822,
	1.026763, 0.171824, 0.551783, -0.083228, 1.026205, 0.170554, 0.580234, -0.085682, 1.025614,
	0.169090, 0.608568, -0.087860, 1.024668, 0.167468, 0.637357, -0.089346, 1.023939, 0.165283,
	0.665507, -0.090704, 1.022946, 0.162966, 0.693704, -0.091388, 1.022010, 0.160131, 0.721396,
	-0.091783, 1.021085, 0.156957, 0.748676, -0.091688, 1.019894, 0.153292, 0.775370, -0.090992,
	1.018608, 0.149158, 0.801547, -0.089881, 1.017646, 0.144551, 0.827013, -0.088267, 1.016355,
	0.139614, 0.851708, -0.086132, 1.015446, 0.134026, 0.875652, -0.083707, 1.014321, 0.128101,
	0.898703, -0.080619, 1.013454, 0.121841, 0.920904, -0.077280, 1.012634, 0.115379, 0.942077,
	-0.073484, 1.011770, 0.108355, 0.962245, -0.069252, 1.010894, 0.101153, 0.981385, -0.064807,
	1.010114, 0.093666, 0.999379, -0.060080, 1.009294, 0.086007, 1.016494, -0.055007, 1.008591,
	0.078194, 1.032357, -0.049760, 1.007821, 0.070328, 1.047061, -0.044468, 1.006871, 0.062358,
	1.060675, -0.038960, 1.006062, 0.054279, 1.073032, -0.033343, 1.004911, 0.046158, 1.084293,
	-0.027699, 1.003791, 0.038111, 1.094724, -0.022130, 1.002744, 0.030239, 1.104302, -0.016508,
	1.001815, 0.022397, 1.113290, -0.010846, 1.001083, 0.014747, 1.121649, -0.005294, 1.000490,
	0.007234, 1.129230, 0.000071, 0.999975, -0.000053, 0.000200, -0.000040, 1.040431, 0.202155,
	0.000504, -0.000102, 1.040912, 0.202154, 0.002016, -0.000407, 1.041328, 0.202152, 0.004535,
	-0.000917, 1.040877, 0.202154, 0.008063, -0.001630, 1.040867, 0.202153, 0.012598, -0.002547,
	1.040870, 0.202153, 0.018140, -0.003667, 1.040808, 0.202153, 0.024692, -0.004991, 1.040861,
	0.202153, 0.032252, -0.006519, 1.040861, 0.202153, 0.040822, -0.008252, 1.040864, 0.202153,
	0.050397, -0.010187, 1.040717, 0.202151, 0.060988, -0.012327, 1.040791, 0.202152, 0.072582,
	-0.014669, 1.040640, 0.202149, 0.085198, -0.017217, 1.040716, 0.202147, 0.098827, -0.019968,
	1.040748, 0.202141, 0.113467, -0.022921, 1.040632, 0.202142, 0.129129, -0.026074, 1.040606,
	0.202137, 0.145793, -0.029399, 1.040566, 0.202127, 0.163294, -0.032524, 1.040459, 0.202078,
	0.181589, -0.035552, 1.040315, 0.201996, 0.200844, -0.039208, 1.040221, 0.201948, 0.220835,
	-0.043489, 1.040047, 0.201945, 0.241471, -0.048523, 1.039921, 0.202031, 0.263854, -0.052764,
	1.039756, 0.201957, 0.286935, -0.056387, 1.039497, 0.201743, 0.310902, -0.060338, 1.039252,
	0.201531, 0.335642, -0.064594, 1.038954, 0.201286, 0.360859, -0.068772, 1.038582, 0.200983,
	0.386419, -0.073086, 1.038160, 0.200651, 0.412588, -0.077887, 1.037724, 0.200343, 0.439836,
	-0.081391, 1.037182, 0.199618, 0.467538, -0.085121, 1.036602, 0.198839, 0.495286, -0.088718,
	1.035893, 0.197895, 0.523231, -0.092514, 1.035121, 0.196887, 0.551730, -0.095238, 1.034127,
	0.195390, 0.580302, -0.097949, 1.033131, 0.193668, 0.608559, -0.100418, 1.031962, 0.191773,
	0.637224, -0.102129, 1.030838, 0.189319, 0.665597, -0.103578, 1.029511, 0.186529, 0.693535,
	-0.104652, 1.028263, 0.183303, 0.721325, -0.104766, 1.026611, 0.179497, 0.748384, -0.104717,
	1.025128, 0.175283, 0.775058, -0.103846, 1.023385, 0.170493, 0.801387, -0.102728, 1.022236,
	0.165187, 0.826412, -0.100679, 1.019908, 0.159362, 0.851314, -0.098451, 1.018839, 0.153059,
	0.875100, -0.095363, 1.017306, 0.146284, 0.898280, -0.092008, 1.016151, 0.138975, 0.920450,
	-0.088095, 1.014880, 0.131361, 0.941727, -0.083690, 1.013556, 0.123417, 0.962308, -0.079077,
	1.012998, 0.115201, 0.981364, -0.073894, 1.011841, 0.106711, 0.999798, -0.068435, 1.011021,
	0.098063, 1.016983, -0.062830, 1.010194, 0.089183, 1.033039, -0.056914, 1.009292, 0.080190,
	1.047994, -0.050721, 1.008474, 0.071010, 1.061580, -0.044454, 1.007386, 0.061867, 1.074023,
	-0.038145, 1.006135, 0.052711, 1.085470, -0.031679, 1.004890, 0.043595, 1.095673, -0.025157,
	1.003627, 0.034506, 1.105000, -0.018702, 1.002331, 0.025468, 1.113795, -0.012458, 1.001278,
	0.016834, 1.122012, -0.006169, 1.000548, 0.008265, 1.129683, 0.000078, 0.999988, -0.000072,
	0.000200, -0.000046, 1.052496, 0.228243, 0.000504, -0.000115, 1.052079, 0.228243, 0.002016,
	-0.000460, 1.052079, 0.228241, 0.004535, -0.001035, 1.052091, 0.228242, 0.008062, -0.001840,
	1.051962, 0.228242, 0.012598, -0.002875, 1.052087, 0.228242, 0.018141, -0.004140, 1.052088,
	0.228242, 0.024692, -0.005636, 1.052096, 0.228239, 0.032251, -0.007361, 1.052029, 0.228243,
	0.040820, -0.009316, 1.052038, 0.228241, 0.050399, -0.011501, 1.052042, 0.228239, 0.060990,
	-0.013917, 1.052046, 0.228238, 0.072586, -0.016562, 1.051990, 0.228236, 0.085198, -0.019437,
	1.051946, 0.228234, 0.098824, -0.022542, 1.051879, 0.228229, 0.113467, -0.025875, 1.051841,
	0.228227, 0.129121, -0.029430, 1.051724, 0.228219, 0.145780, -0.033170, 1.051672, 0.228205,
	0.163222, -0.036567, 1.051556, 0.228143, 0.181604, -0.040245, 1.051382, 0.228069, 0.200913,
	-0.044395, 1.051230, 0.228010, 0.221005, -0.049088, 1.051062, 0.227988, 0.241667, -0.054506,
	1.050881, 0.228044, 0.263777, -0.059437, 1.050643, 0.227986, 0.286841, -0.063590, 1.050312,
	0.227755, 0.310879, -0.068224, 1.050009, 0.227525, 0.335650, -0.072986, 1.049597, 0.227253,
	0.360869, -0.077435, 1.049121, 0.226845, 0.386609, -0.082385, 1.048587, 0.226466, 0.412742,
	-0.087570, 1.047987, 0.226059, 0.439789, -0.091929, 1.047308, 0.225331, 0.467558, -0.096038,
	1.046423, 0.224409, 0.495406, -0.099938, 1.045481, 0.223288, 0.523417, -0.104050, 1.044512,
	0.222066, 0.551755, -0.107503, 1.043408, 0.220487, 0.580468, -0.110234, 1.042016, 0.218451,
	0.608904, -0.112993, 1.040535, 0.216200, 0.637230, -0.115173, 1.038934, 0.213458, 0.665566,
	-0.116433, 1.036961, 0.210158, 0.693413, -0.117589, 1.035130, 0.206457, 0.721025, -0.117885,
	1.033080, 0.202197, 0.748054, -0.117606, 1.030752, 0.197296, 0.774631, -0.116771, 1.028608,
	0.191813, 0.800677, -0.115194, 1.026350, 0.185691, 0.826062, -0.113138, 1.024472, 0.179053,
	0.850590, -0.110359, 1.022174, 0.171839, 0.874550, -0.107072, 1.020381, 0.164067, 0.897567,
	-0.103268, 1.018777, 0.155959, 0.919609, -0.098794, 1.016886, 0.147320, 0.941177, -0.094067,
	1.015880, 0.138365, 0.961752, -0.088670, 1.014616, 0.129051, 0.981518, -0.082965, 1.013807,
	0.119515, 0.999880, -0.076971, 1.012793, 0.109897, 1.017370, -0.070518, 1.011894, 0.099872,
	1.033661, -0.063830, 1.010943, 0.089883, 1.048672, -0.057040, 1.009802, 0.079691, 1.062479,
	-0.049917, 1.008670, 0.069458, 1.075052, -0.042735, 1.007429, 0.059191, 1.086371, -0.035513,
	1.005991, 0.048894, 1.096623, -0.028359, 1.004468, 0.038770, 1.105871, -0.021111, 1.002927,
	0.028745, 1.114481, -0.013908, 1.001728, 0.018884, 1.122610, -0.006843, 1.000740, 0.009264,
	1.130165, 0.000062, 0.999983, -0.000006, 0.000200, -0.000051, 1.064931, 0.254630, 0.000504,
	-0.000128, 1.064668, 0.254630, 0.002016, -0.000513, 1.064794, 0.254630, 0.004535, -0.001155,
	1.064851, 0.254630, 0.008063, -0.002053, 1.064966, 0.254630, 0.012598, -0.003208, 1.064840,
	0.254630, 0.018140, -0.004619, 1.064602, 0.254631, 0.024695, -0.006288, 1.064965, 0.254632,
	0.032251, -0.008211, 1.064795, 0.254630, 0.040821, -0.010393, 1.064802, 0.254628, 0.050398,
	-0.012830, 1.064758, 0.254627, 0.060987, -0.015525, 1.064731, 0.254625, 0.072584, -0.018474,
	1.064615, 0.254621, 0.085199, -0.021682, 1.064672, 0.254619, 0.098826, -0.025144, 1.064630,
	0.254613, 0.113465, -0.028860, 1.064515, 0.254606, 0.129119, -0.032823, 1.064416, 0.254598,
	0.145767, -0.036969, 1.064347, 0.254579, 0.163190, -0.040754, 1.064132, 0.254506, 0.181622,
	-0.044989, 1.063951, 0.254437, 0.200981, -0.049642, 1.063745, 0.254370, 0.221145, -0.054776,
	1.063547, 0.254324, 0.241896, -0.060538, 1.063289, 0.254346, 0.263684, -0.066113, 1.063013,
	0.254296, 0.286796, -0.070925, 1.062625, 0.254059, 0.310867, -0.076187, 1.062216, 0.253817,
	0.335644, -0.081406, 1.061703, 0.253481, 0.360917, -0.086336, 1.061066, 0.253005, 0.386786,
	-0.091790, 1.060454, 0.252558, 0.412921, -0.097230, 1.059568, 0.252008, 0.439722, -0.102574,
	1.058706, 0.251323, 0.467559, -0.106972, 1.057682, 0.250239, 0.495605, -0.111329, 1.056612,
	0.248944, 0.523589, -0.115561, 1.055101, 0.247471, 0.551787, -0.119732, 1.053745, 0.245777,
	0.580426, -0.122711, 1.051829, 0.243448, 0.608778, -0.125436, 1.049642, 0.240769, 0.637069,
	-0.127993, 1.047749, 0.237739, 0.665251, -0.129448, 1.045244, 0.233928, 0.692977, -0.130408,
	1.042279, 0.229640, 0.720346, -0.130931, 1.039693, 0.224829, 0.747365, -0.130392, 1.036675,
	0.219144, 0.773734, -0.129540, 1.033719, 0.212965, 0.799578, -0.127689, 1.030774, 0.206047,
	0.825002, -0.125456, 1.028551, 0.198576, 0.849564, -0.122291, 1.025800, 0.190471, 0.873412,
	-0.118720, 1.023657, 0.181739, 0.896628, -0.114323, 1.021381, 0.172586, 0.918952, -0.109587,
	1.019674, 0.162914, 0.940602, -0.104093, 1.018126, 0.153039, 0.960917, -0.098187, 1.016339,
	0.142774, 0.980911, -0.091963, 1.015440, 0.132316, 0.999686, -0.085159, 1.014377, 0.121453,
	1.017538, -0.078139, 1.013498, 0.110527, 1.033918, -0.070797, 1.012332, 0.099437, 1.049390,
	-0.063129, 1.011368, 0.088157, 1.063402, -0.055354, 1.010111, 0.076951, 1.076096, -0.047522,
	1.008774, 0.065616, 1.087562, -0.039447, 1.007202, 0.054310, 1.097591, -0.031359, 1.005346,
	0.042948, 1.106782, -0.023393, 1.003710, 0.031799, 1.115234, -0.015461, 1.002116, 0.020943,
	1.123166, -0.007589, 1.000858, 0.010288, 1.130796, 0.000104, 1.000032, -0.000024, 0.000200,
	-0.000056, 1.078780, 0.281356, 0.000504, -0.000142, 1.079271, 0.281355, 0.002015, -0.000567,
	1.078635, 0.281355, 0.004535, -0.001276, 1.079164, 0.281356, 0.008064, -0.002269, 1.079300,
	0.281355, 0.012598, -0.003544, 1.079149, 0.281355, 0.018143, -0.005104, 1.079329, 0.281355,
	0.024691, -0.006947, 1.079073, 0.281353, 0.032254, -0.009074, 1.079253, 0.281354, 0.040822,
	-0.011484, 1.079176, 0.281353, 0.050399, -0.014177, 1.079057, 0.281349, 0.060987, -0.017153,
	1.079007, 0.281347, 0.072586, -0.020412, 1.078998, 0.281343, 0.085203, -0.023956, 1.078962,
	0.281336, 0.098823, -0.027778, 1.078839, 0.281332, 0.113464, -0.031882, 1.078783, 0.281325,
	0.129114, -0.036255, 1.078633, 0.281315, 0.145748, -0.040790, 1.078545, 0.281287, 0.163179,
	-0.045024, 1.078311, 0.281208, 0.181649, -0.049791, 1.078135, 0.281137, 0.201042, -0.054953,
	1.077845, 0.281063, 0.221267, -0.060551, 1.077576, 0.281006, 0.242114, -0.066663, 1.077257,
	0.280978, 0.263568, -0.072771, 1.076897, 0.280925, 0.286744, -0.078349, 1.076405, 0.280689,
	0.310840, -0.084201, 1.075898, 0.280418, 0.335612, -0.089846, 1.075287, 0.280020, 0.360975,
	-0.095394, 1.074482, 0.279513, 0.386932, -0.101290, 1.073617, 0.278961, 0.413171, -0.107042,
	1.072719, 0.278283, 0.439886, -0.113083, 1.071698, 0.277547, 0.467535, -0.118010, 1.070213,
	0.276311, 0.495701, -0.122793, 1.068857, 0.274867, 0.523772, -0.127278, 1.067037, 0.273153,
	0.551849, -0.131671, 1.064923, 0.271176, 0.580338, -0.135293, 1.062749, 0.268626, 0.608771,
	-0.138065, 1.059944, 0.265569, 0.636756, -0.140565, 1.056851, 0.262054, 0.664574, -0.142434,
	1.053461, 0.257807, 0.692151, -0.143237, 1.049910, 0.252930, 0.719376, -0.143717, 1.046426,
	0.247414, 0.745852, -0.143117, 1.042377, 0.241001, 0.772300, -0.141975, 1.038789, 0.233797,
	0.798050, -0.140114, 1.035290, 0.226218, 0.823370, -0.137379, 1.032374, 0.217785, 0.847735,
	-0.134119, 1.028853, 0.208748, 0.871897, -0.129985, 1.026395, 0.198877, 0.894950, -0.125324,
	1.023787, 0.188803, 0.917909, -0.120007, 1.022073, 0.178493, 0.939567, -0.114099, 1.020098,
	0.167466, 0.960534, -0.107748, 1.018851, 0.156223, 0.980423, -0.100748, 1.017362, 0.144716,
	0.999334, -0.093494, 1.015961, 0.133028, 1.017561, -0.085728, 1.015059, 0.120953, 1.034225,
	-0.077627, 1.013888, 0.108943, 1.049937, -0.069375, 1.012898, 0.096678, 1.064265, -0.060807,
	1.011635, 0.084350, 1.077188, -0.052052, 1.010095, 0.071964, 1.088637, -0.043304, 1.008399,
	0.059531, 1.098766, -0.034458, 1.006397, 0.047134, 1.107697, -0.025637, 1.004354, 0.034887,
	1.116055, -0.016932, 1.002611, 0.022948, 1.123819, -0.008437, 1.001023, 0.011386, 1.131333,
	0.000087, 0.999952, -0.000097, 0.000200, -0.000062, 1.095622, 0.308458, 0.000504, -0.000155,
	1.094863, 0.308458, 0.002016, -0.000622, 1.095169, 0.308458, 0.004535, -0.001399, 1.095156,
	0.308458, 0.008063, -0.002487, 1.095413, 0.308455, 0.012598, -0.003886, 1.095147, 0.308458,
	0.018141, -0.005596, 1.095150, 0.308457, 0.024692, -0.007616, 1.095140, 0.308457, 0.032252,
	-0.009947, 1.095098, 0.308456, 0.040822, -0.012589, 1.095096, 0.308453, 0.050399, -0.015541,
	1.095070, 0.308451, 0.060985, -0.018803, 1.094922, 0.308448, 0.072583, -0.022375, 1.094902,
	0.308444, 0.085197, -0.026258, 1.094882, 0.308438, 0.098822, -0.030448, 1.094775, 0.308429,
	0.113460, -0.034944, 1.094641, 0.308419, 0.129112, -0.039731, 1.094530, 0.308403, 0.145711,
	-0.044610, 1.094332, 0.308365, 0.163178, -0.049362, 1.094149, 0.308285, 0.181679, -0.054666,
	1.093876, 0.308210, 0.201109, -0.060336, 1.093603, 0.308132, 0.221388, -0.066414, 1.093250,
	0.308047, 0.242315, -0.072881, 1.092835, 0.307985, 0.263651, -0.079453, 1.092391, 0.307902,
	0.286720, -0.085882, 1.091866, 0.307688, 0.310817, -0.092274, 1.091225, 0.307379, 0.335562,
	-0.098306, 1.090346, 0.306906, 0.361043, -0.104572, 1.089423, 0.306374, 0.387051, -0.110843,
	1.088437, 0.305710, 0.413405, -0.117062, 1.087228, 0.304906, 0.440122, -0.123501, 1.085879,
	0.304017, 0.467522, -0.129245, 1.084197, 0.302783, 0.495721, -0.134285, 1.082284, 0.301104,
	0.523925, -0.139143, 1.080109, 0.299142, 0.551814, -0.143638, 1.077043, 0.296825, 0.579878,
	-0.147774, 1.074071, 0.294071, 0.608316, -0.150724, 1.070621, 0.290519, 0.636059, -0.153168,
	1.066390, 0.286424, 0.663481, -0.155139, 1.062069, 0.281559, 0.690753, -0.155944, 1.057211,
	0.276024, 0.717767, -0.156176, 1.052682, 0.269622, 0.743937, -0.155783, 1.047747, 0.262532,
	0.770214, -0.154245, 1.043510, 0.254609, 0.795542, -0.152192, 1.039121, 0.246007, 0.821099,
	-0.149256, 1.035962, 0.236663, 0.845452, -0.145605, 1.032320, 0.226751, 0.869780, -0.141186,
	1.029390, 0.216165, 0.893141, -0.136137, 1.026485, 0.204937, 0.916034, -0.130332, 1.024389,
	0.193624, 0.938089, -0.124040, 1.022270, 0.181756, 0.959488, -0.117011, 1.020457, 0.169339,
	0.979594, -0.109617, 1.018871, 0.156875, 0.998912, -0.101562, 1.017533, 0.144288, 1.017100,
	-0.093164, 1.016445, 0.131370, 1.034413, -0.084488, 1.015453, 0.118322, 1.050347, -0.075377,
	1.014259, 0.104963, 1.064958, -0.066108, 1.013057, 0.091722, 1.078045, -0.056702, 1.011491,
	0.078231, 1.089749, -0.047106, 1.009662, 0.064797, 1.099831, -0.037467, 1.007417, 0.051315,
	1.108789, -0.027990, 1.005144, 0.038064, 1.116865, -0.018464, 1.002925, 0.025008, 1.124609,
	-0.009068, 1.001221, 0.012250, 1.132040, 0.000093, 0.999984, -0.000071, 0.000200, -0.000067,
	1.112554, 0.335981, 0.000504, -0.000169, 1.112660, 0.335981, 0.002016, -0.000677, 1.112827,
	0.335981, 0.004533, -0.001523, 1.112147, 0.335982, 0.008063, -0.002709, 1.112882, 0.335979,
	0.012598, -0.004233, 1.112891, 0.335980, 0.018141, -0.006095, 1.112882, 0.335980, 0.024693,
	-0.008296, 1.112877, 0.335978, 0.032252, -0.010834, 1.112860, 0.335976, 0.040824, -0.013713,
	1.112965, 0.335974, 0.050398, -0.016927, 1.112753, 0.335971, 0.060991, -0.020482, 1.112826,
	0.335970, 0.072587, -0.024371, 1.112676, 0.335962, 0.085199, -0.028597, 1.112593, 0.335955,
	0.098822, -0.033159, 1.112453, 0.335943, 0.113461, -0.038052, 1.112329, 0.335930, 0.129108,
	-0.043255, 1.112144, 0.335910, 0.145665, -0.048412, 1.111905, 0.335857, 0.163185, -0.053786,
	1.111668, 0.335781, 0.181710, -0.059608, 1.111345, 0.335696, 0.201166, -0.065794, 1.110979,
	0.335606, 0.221489, -0.072361, 1.110553, 0.335505, 0.242471, -0.079184, 1.110112, 0.335396,
	0.263900, -0.086213, 1.109584, 0.335271, 0.286688, -0.093491, 1.108927, 0.335089, 0.310773,
	-0.100406, 1.108091, 0.334737, 0.335573, -0.106987, 1.107169, 0.334208, 0.361117, -0.113844,
	1.106097, 0.333600, 0.387175, -0.120463, 1.104826, 0.332828, 0.413665, -0.127245, 1.103415,
	0.331929, 0.440386, -0.133927, 1.101632, 0.330851, 0.467527, -0.140496, 1.099563, 0.329538,
	0.495630, -0.145874, 1.096956, 0.327618, 0.523864, -0.150997, 1.094201, 0.325390, 0.551705,
	-0.155713, 1.090342, 0.322688, 0.579383, -0.159993, 1.086010, 0.319483, 0.607301, -0.163238,
	1.081226, 0.315522, 0.634873, -0.165667, 1.076065, 0.310840, 0.662028, -0.167606, 1.070466,
	0.305377, 0.688755, -0.168626, 1.064601, 0.299056, 0.715612, -0.168578, 1.059269, 0.291963,
	0.741604, -0.167961, 1.053648, 0.284018, 0.767757, -0.166439, 1.048928, 0.275474, 0.793264,
	-0.164023, 1.044343, 0.266056, 0.818165, -0.160965, 1.039909, 0.255750, 0.843255, -0.156896,
	1.036180, 0.244843, 0.867249, -0.152262, 1.032303, 0.233464, 0.890994, -0.146655, 1.029365,
	0.221128, 0.913829, -0.140574, 1.026607, 0.208554, 0.936508, -0.133640, 1.024512, 0.195772,
	0.957720, -0.126220, 1.022421, 0.182420, 0.978940, -0.118164, 1.021293, 0.168852, 0.998285,
	-0.109558, 1.019444, 0.155261, 1.016764, -0.100562, 1.017825, 0.141395, 1.034387, -0.091064,
	1.016996, 0.127311, 1.050916, -0.081468, 1.015945, 0.113089, 1.065652, -0.071463, 1.014547,
	0.098879, 1.079155, -0.061240, 1.013066, 0.084468, 1.090822, -0.050980, 1.010788, 0.069940,
	1.101100, -0.040549, 1.008563, 0.055475, 1.109824, -0.030101, 1.005950, 0.041033, 1.117828,
	-0.019884, 1.003453, 0.027022, 1.125443, -0.009900, 1.001484, 0.013306, 1.132869, 0.000094,
	1.000004, -0.000046, 0.000200, -0.000073, 1.132849, 0.363970, 0.000504, -0.000183, 1.132155,
	0.363969, 0.002016, -0.000734, 1.132516, 0.363969, 0.004535, -0.001651, 1.132256, 0.363969,
	0.008062, -0.002934, 1.132318, 0.363966, 0.012597, -0.004585, 1.132386, 0.363968, 0.018141,
	-0.006602, 1.132457, 0.363967, 0.024693, -0.008987, 1.132511, 0.363967, 0.032252, -0.011737,
	1.132488, 0.363965, 0.040819, -0.014853, 1.132241, 0.363959, 0.050398, -0.018336, 1.132372,
	0.363958, 0.060988, -0.022185, 1.132373, 0.363954, 0.072582, -0.026396, 1.132137, 0.363943,
	0.085195, -0.030973, 1.132071, 0.363935, 0.098822, -0.035913, 1.131978, 0.363922, 0.113461,
	-0.041209, 1.131801, 0.363905, 0.129116, -0.046833, 1.131535, 0.363867, 0.145640, -0.052346,
	1.131290, 0.363814, 0.163199, -0.058275, 1.131046, 0.363734, 0.181742, -0.064623, 1.130671,
	0.363642, 0.201227, -0.071336, 1.130224, 0.363539, 0.221587, -0.078396, 1.129758, 0.363419,
	0.242625, -0.085545, 1.129213, 0.363256, 0.264183, -0.093110, 1.128549, 0.363097, 0.286668,
	-0.101206, 1.127767, 0.362939, 0.310745, -0.108586, 1.126796, 0.362516, 0.335602, -0.115827,
	1.125686, 0.361953, 0.361202, -0.123212, 1.124451, 0.361275, 0.387298, -0.130294, 1.122861,
	0.360376, 0.413918, -0.137553, 1.121154, 0.359362, 0.440680, -0.144577, 1.118825, 0.358069,
	0.467667, -0.151558, 1.116002, 0.356581, 0.495449, -0.157621, 1.112778, 0.354531, 0.523514,
	-0.162844, 1.108842, 0.351915, 0.551250, -0.167744, 1.104075, 0.348797, 0.578629, -0.172132,
	1.098733, 0.345222, 0.605757, -0.175733, 1.092224, 0.340665, 0.633392, -0.178109, 1.086201,
	0.335286, 0.660783, -0.180009, 1.080110, 0.329286, 0.687219, -0.181105, 1.073419, 0.322319,
	0.713873, -0.181046, 1.067410, 0.314616, 0.740094, -0.180219, 1.061414, 0.306014, 0.765233,
	-0.178559, 1.055287, 0.296704, 0.790885, -0.175806, 1.049727, 0.286394, 0.815464, -0.172354,
	1.044519, 0.275189, 0.840259, -0.168048, 1.040375, 0.263441, 0.864285, -0.162904, 1.036010,
	0.250918, 0.888806, -0.157194, 1.033525, 0.237611, 0.911682, -0.150486, 1.029490, 0.223809,
	0.934481, -0.143212, 1.026778, 0.209705, 0.956337, -0.135233, 1.024632, 0.195281, 0.977380,
	-0.126650, 1.022737, 0.180878, 0.997427, -0.117552, 1.021110, 0.166112, 1.016666, -0.107814,
	1.019869, 0.151231, 1.034337, -0.097814, 1.018543, 0.136375, 1.051082, -0.087330, 1.017476,
	0.121187, 1.066326, -0.076614, 1.016083, 0.106043, 1.079897, -0.065793, 1.014227, 0.090566,
	1.092136, -0.054654, 1.012334, 0.074988, 1.102315, -0.043516, 1.009627, 0.059577, 1.111105,
	-0.032509, 1.006808, 0.044202, 1.118861, -0.021381, 1.003917, 0.028995, 1.126363, -0.010489,
	1.001670, 0.014269, 1.133598, 0.000083, 0.999989, -0.000035, 0.000200, -0.000079, 1.155026,
	0.392470, 0.000504, -0.000198, 1.154184, 0.392469, 0.002016, -0.000791, 1.153990, 0.392469,
	0.004535, -0.001780, 1.154045, 0.392469, 0.008063, -0.003164, 1.154007, 0.392466, 0.012598,
	-0.004944, 1.154022, 0.392469, 0.018141, -0.007119, 1.154015, 0.392468, 0.024692, -0.009690,
	1.154017, 0.392466, 0.032254, -0.012656, 1.154069, 0.392465, 0.040826, -0.016018, 1.153980,
	0.392459, 0.050399, -0.019771, 1.153911, 0.392456, 0.060987, -0.023919, 1.153860, 0.392447,
	0.072588, -0.028461, 1.153777, 0.392442, 0.085197, -0.033393, 1.153582, 0.392428, 0.098822,
	-0.038716, 1.153434, 0.392412, 0.113462, -0.044422, 1.153271, 0.392390, 0.129101, -0.050455,
	1.153019, 0.392359, 0.145642, -0.056392, 1.152721, 0.392283, 0.163223, -0.062859, 1.152404,
	0.392201, 0.181779, -0.069721, 1.151941, 0.392099, 0.201289, -0.076968, 1.151422, 0.391978,
	0.221678, -0.084518, 1.150861, 0.391833, 0.242752, -0.092017, 1.150156, 0.391618, 0.264474,
	-0.100184, 1.149402, 0.391421, 0.286768, -0.108921, 1.148545, 0.391249, 0.310719, -0.116815,
	1.147388, 0.390773, 0.335638, -0.124785, 1.146042, 0.390168, 0.361240, -0.132630, 1.144529,
	0.389394, 0.387443, -0.140298, 1.142602, 0.388391, 0.414067, -0.147913, 1.140361, 0.387199,
	0.440904, -0.155362, 1.137612, 0.385742, 0.467771, -0.162574, 1.133659, 0.383926, 0.494907,
	-0.169312, 1.129246, 0.381715, 0.522801, -0.174778, 1.124228, 0.378678, 0.550751, -0.179824,
	1.118697, 0.375158, 0.578018, -0.184284, 1.112019, 0.370851, 0.605291, -0.188215, 1.105151,
	0.365928, 0.632269, -0.190760, 1.097677, 0.360114, 0.659432, -0.192457, 1.090816, 0.353498,
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	1.057265, 0.306900, 0.813744, -0.183783, 1.051177, 0.295021, 0.838408, -0.179328, 1.045902,
	0.282144, 0.862116, -0.173573, 1.040853, 0.268438, 0.885636, -0.167350, 1.036515, 0.254108,
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	1.022998, 0.176741, 1.015817, -0.115089, 1.021234, 0.160926, 1.034301, -0.104317, 1.020025,
	0.145042, 1.051131, -0.093218, 1.018739, 0.129052, 1.066836, -0.081828, 1.017419, 0.112905,
	1.081027, -0.070132, 1.015714, 0.096578, 1.093225, -0.058382, 1.013465, 0.080077, 1.103691,
	-0.046527, 1.010853, 0.063580, 1.112431, -0.034624, 1.007702, 0.047118, 1.120035, -0.022913,
	1.004551, 0.031018, 1.127336, -0.011284, 1.001924, 0.015283, 1.134510, 0.000170, 0.999937,
	-0.000058, 0.000200, -0.000084, 1.177044, 0.421534, 0.000504, -0.000212, 1.177312, 0.421533,
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	-0.003399, 1.177844, 0.421529, 0.012598, -0.005310, 1.177768, 0.421533, 0.018141, -0.007646,
	1.177730, 0.421531, 0.024692, -0.010407, 1.177663, 0.421530, 0.032252, -0.013592, 1.177681,
	0.421527, 0.040821, -0.017201, 1.177562, 0.421524, 0.050401, -0.021234, 1.177445, 0.421516,
	0.060988, -0.025688, 1.177461, 0.421509, 0.072590, -0.030565, 1.177364, 0.421498, 0.085200,
	-0.035860, 1.177205, 0.421482, 0.098823, -0.041572, 1.177011, 0.421462, 0.113465, -0.047694,
	1.176794, 0.421436, 0.129094, -0.054122, 1.176504, 0.421396, 0.145652, -0.060530, 1.176203,
	0.421311, 0.163245, -0.067517, 1.175805, 0.421218, 0.181825, -0.074919, 1.175271, 0.421108,
	0.201360, -0.082700, 1.174717, 0.420974, 0.221773, -0.090727, 1.174021, 0.420795, 0.242908,
	-0.098719, 1.173173, 0.420536, 0.264742, -0.107417, 1.172285, 0.420296, 0.287091, -0.116601,
	1.171326, 0.420065, 0.310723, -0.125265, 1.169907, 0.419582, 0.335685, -0.133876, 1.168352,
	0.418912, 0.361285, -0.142140, 1.166322, 0.418006, 0.387562, -0.150436, 1.164136, 0.416899,
	0.414175, -0.158388, 1.161162, 0.415513, 0.441021, -0.166258, 1.157608, 0.413836, 0.467698,
	-0.173720, 1.152519, 0.411702, 0.494730, -0.180843, 1.147020, 0.409102, 0.522524, -0.186906,
	1.141256, 0.405789, 0.550055, -0.192004, 1.134114, 0.401759, 0.577512, -0.196588, 1.127086,
	0.397153, 0.604348, -0.200420, 1.119029, 0.391767, 0.630970, -0.203320, 1.110308, 0.385573,
	0.658023, -0.204883, 1.102643, 0.378245, 0.684422, -0.205716, 1.094573, 0.370191, 0.710405,
	-0.205767, 1.086405, 0.361231, 0.736417, -0.204513, 1.078712, 0.351106, 0.761836, -0.202281,
	1.071619, 0.340096, 0.787140, -0.199395, 1.064873, 0.328139, 0.812197, -0.195185, 1.058313,
	0.315044, 0.836342, -0.190191, 1.052085, 0.300933, 0.860311, -0.184343, 1.046705, 0.286411,
	0.883597, -0.177415, 1.041072, 0.270897, 0.906852, -0.170003, 1.036797, 0.254825, 0.929991,
	-0.161592, 1.033264, 0.238176, 0.952478, -0.152792, 1.030250, 0.221581, 0.974216, -0.143032,
	1.027331, 0.204378, 0.995372, -0.132922, 1.025135, 0.187470, 1.015330, -0.122009, 1.023250,
	0.170538, 1.034070, -0.110740, 1.022021, 0.153777, 1.051295, -0.099016, 1.020271, 0.136916,
	1.067460, -0.086920, 1.018948, 0.119880, 1.082022, -0.074729, 1.017336, 0.102565, 1.094378,
	-0.062036, 1.014820, 0.084994, 1.104998, -0.049413, 1.011999, 0.067650, 1.113773, -0.036812,
	1.008711, 0.050148, 1.121263, -0.024274, 1.005141, 0.032976, 1.128420, -0.012038, 1.002196,
	0.016239, 1.135496, 0.000106, 1.000042, -0.000062, 0.000200, -0.000090, 1.203048, 0.451217,
	0.000504, -0.000227, 1.203226, 0.451215, 0.002016, -0.000909, 1.203450, 0.451215, 0.004535,
	-0.002046, 1.203569, 0.451215, 0.008062, -0.003638, 1.203609, 0.451209, 0.012598, -0.005684,
	1.203580, 0.451214, 0.018141, -0.008185, 1.203515, 0.451212, 0.024694, -0.011141, 1.203618,
	0.451211, 0.032253, -0.014549, 1.203609, 0.451207, 0.040815, -0.018409, 1.203302, 0.451203,
	0.050401, -0.022727, 1.203454, 0.451195, 0.060990, -0.027495, 1.203480, 0.451188, 0.072591,
	-0.032713, 1.203220, 0.451172, 0.085203, -0.038378, 1.203058, 0.451154, 0.098829, -0.044489,
	1.202838, 0.451130, 0.113466, -0.051031, 1.202530, 0.451098, 0.129084, -0.057808, 1.202270,
	0.451041, 0.145669, -0.064769, 1.201904, 0.450956, 0.163278, -0.072278, 1.201411, 0.450853,
	0.181880, -0.080224, 1.200825, 0.450721, 0.201436, -0.088537, 1.200164, 0.450566, 0.221865,
	-0.097009, 1.199335, 0.450351, 0.243083, -0.105591, 1.198383, 0.450062, 0.265033, -0.114818,
	1.197380, 0.449769, 0.287456, -0.124372, 1.196137, 0.449438, 0.310758, -0.133892, 1.194554,
	0.448974, 0.335721, -0.143052, 1.192649, 0.448216, 0.361348, -0.151868, 1.190233, 0.447202,
	0.387573, -0.160644, 1.187211, 0.445926, 0.414159, -0.169028, 1.183452, 0.444313, 0.440950,
	-0.177169, 1.178562, 0.442315, 0.467998, -0.185090, 1.173540, 0.439960, 0.494566, -0.192396,
	1.166344, 0.436989, 0.521730, -0.198915, 1.159283, 0.433439, 0.549405, -0.204240, 1.151503,
	0.428984, 0.576755, -0.208861, 1.143004, 0.423839, 0.603635, -0.212734, 1.134099, 0.418012,
	0.629979, -0.215712, 1.124555, 0.411445, 0.656597, -0.217385, 1.115293, 0.403628, 0.683317,
	-0.218093, 1.106460, 0.394639, 0.708990, -0.217835, 1.097389, 0.385012, 0.734898, -0.216774,
	1.088940, 0.373999, 0.760342, -0.214120, 1.080385, 0.362128, 0.785517, -0.210821, 1.072959,
	0.349184, 0.809933, -0.206443, 1.065450, 0.335080, 0.834339, -0.200942, 1.058701, 0.320257,
	0.858793, -0.194938, 1.052711, 0.304133, 0.882300, -0.187615, 1.047044, 0.287771, 0.905560,
	-0.179626, 1.042083, 0.270571, 0.927916, -0.170753, 1.037077, 0.252741, 0.950415, -0.161270,
	1.033200, 0.234656, 0.972920, -0.151239, 1.030418, 0.216652, 0.993893, -0.140358, 1.027479,
	0.198252, 1.014204, -0.128963, 1.024897, 0.180113, 1.033878, -0.117128, 1.023648, 0.162282,
	1.051754, -0.104678, 1.022230, 0.144366, 1.067924, -0.092000, 1.020453, 0.126455, 1.082643,
	-0.078837, 1.018518, 0.108194, 1.095503, -0.065669, 1.016199, 0.089966, 1.106290, -0.052345,
	1.013113, 0.071530, 1.115219, -0.039024, 1.009636, 0.053158, 1.122587, -0.025789, 1.005801,
	0.034959, 1.129461, -0.012622, 1.002442, 0.017222, 1.136468, 0.000152, 0.999964, -0.000065,
	0.000200, -0.000096, 1.231156, 0.481574, 0.000504, -0.000243, 1.232187, 0.481572, 0.002016,
	-0.000971, 1.231948, 0.481572, 0.004535, -0.002184, 1.231919, 0.481572, 0.008061, -0.003882,
	1.231453, 0.481566, 0.012597, -0.006066, 1.231800, 0.481572, 0.018142, -0.008736, 1.231756,
	0.481569, 0.024693, -0.011889, 1.232062, 0.481570, 0.032254, -0.015528, 1.231915, 0.481563,
	0.040822, -0.019650, 1.231863, 0.481559, 0.050402, -0.024255, 1.231737, 0.481550, 0.060992,
	-0.029342, 1.231678, 0.481537, 0.072592, -0.034908, 1.231537, 0.481521, 0.085207, -0.040953,
	1.231336, 0.481499, 0.098834, -0.047469, 1.231071, 0.481469, 0.113474, -0.054441, 1.230757,
	0.481431, 0.129077, -0.061556, 1.230424, 0.481359, 0.145691, -0.069091, 1.230022, 0.481269,
	0.163321, -0.077151, 1.229461, 0.481156, 0.181936, -0.085636, 1.228718, 0.481011, 0.201516,
	-0.094484, 1.228023, 0.480830, 0.221963, -0.103362, 1.227057, 0.480562, 0.243264, -0.112628,
	1.225997, 0.480247, 0.265291, -0.122366, 1.224744, 0.479891, 0.287824, -0.132256, 1.223255,
	0.479461, 0.310927, -0.142614, 1.221348, 0.478978, 0.335749, -0.152326, 1.218953, 0.478132,
	0.361361, -0.161747, 1.215806, 0.476971, 0.387480, -0.170879, 1.211853, 0.475477, 0.414231,
	-0.179865, 1.207783, 0.473686, 0.441065, -0.188331, 1.202051, 0.471415, 0.467923, -0.196454,
	1.195463, 0.468647, 0.494526, -0.204048, 1.187542, 0.465459, 0.521318, -0.211020, 1.179235,
	0.461650, 0.548654, -0.216520, 1.170110, 0.456868, 0.575778, -0.221098, 1.160163, 0.451227,
	0.602610, -0.224923, 1.149751, 0.444866, 0.628891, -0.227895, 1.139169, 0.437577, 0.655635,
	-0.230020, 1.129736, 0.429369, 0.682115, -0.230419, 1.119516, 0.419673, 0.707514, -0.229789,
	1.108277, 0.409143, 0.733169, -0.228520, 1.099159, 0.397296, 0.758342, -0.225793, 1.089839,
	0.384578, 0.783477, -0.222049, 1.081428, 0.370323, 0.808497, -0.217562, 1.073742, 0.355253,
	0.832790, -0.211697, 1.065850, 0.339282, 0.856677, -0.204989, 1.058834, 0.322181, 0.880662,
	-0.197653, 1.053291, 0.304610, 0.903474, -0.188858, 1.046822, 0.286042, 0.926313, -0.179746,
	1.041663, 0.267224, 0.948458, -0.169542, 1.036532, 0.247978, 0.970873, -0.159005, 1.033008,
	0.228535, 0.992958, -0.147658, 1.029844, 0.208819, 1.013413, -0.135771, 1.026930, 0.189486,
	1.033483, -0.123256, 1.025545, 0.170422, 1.051872, -0.110401, 1.023935, 0.152075, 1.068396,
	-0.096860, 1.022092, 0.133169, 1.083731, -0.083259, 1.020221, 0.114022, 1.096849, -0.069266,
	1.017663, 0.094772, 1.107864, -0.055203, 1.014524, 0.075432, 1.116600, -0.041097, 1.010514,
	0.055980, 1.123871, -0.027083, 1.006313, 0.036839, 1.130718, -0.013510, 1.002778, 0.018156,
	1.137649, 0.000154, 1.000033, -0.000028, 0.000200, -0.000103, 1.264025, 0.512670, 0.000504,
	-0.000258, 1.262437, 0.512667, 0.002016, -0.001033, 1.262691, 0.512668, 0.004535, -0.002325,
	1.262834, 0.512667, 0.008063, -0.004133, 1.262783, 0.512659, 0.012598, -0.006458, 1.262803,
	0.512666, 0.018141, -0.009299, 1.262720, 0.512665, 0.024683, -0.012652, 1.262061, 0.512655,
	0.032257, -0.016532, 1.262858, 0.512656, 0.040826, -0.020919, 1.262709, 0.512649, 0.050403,
	-0.025820, 1.262685, 0.512639, 0.060993, -0.031233, 1.262544, 0.512625, 0.072597, -0.037157,
	1.262435, 0.512607, 0.085211, -0.043587, 1.262209, 0.512581, 0.098842, -0.050520, 1.261907,
	0.512544, 0.113484, -0.057926, 1.261575, 0.512500, 0.129097, -0.065460, 1.261293, 0.512420,
	0.145727, -0.073543, 1.260736, 0.512316, 0.163375, -0.082134, 1.260117, 0.512190, 0.182011,
	-0.091173, 1.259299, 0.512024, 0.201598, -0.100540, 1.258381, 0.511810, 0.222084, -0.109931,
	1.257293, 0.511505, 0.243446, -0.119838, 1.256050, 0.511151, 0.265574, -0.130090, 1.254607,
	0.510724, 0.288230, -0.140421, 1.252808, 0.510191, 0.311336, -0.151343, 1.250489, 0.509627,
	0.335719, -0.161689, 1.247279, 0.508688, 0.361314, -0.171748, 1.243467, 0.507393, 0.387541,
	-0.181399, 1.239145, 0.505758, 0.414204, -0.190768, 1.233760, 0.503676, 0.441092, -0.199659,
	1.227433, 0.501129, 0.467789, -0.207934, 1.219247, 0.498078, 0.494454, -0.215747, 1.210441,
	0.494630, 0.520950, -0.222869, 1.200559, 0.490467, 0.547802, -0.228881, 1.189872, 0.485444,
	0.575563, -0.233760, 1.180081, 0.479268, 0.602426, -0.237566, 1.168544, 0.472272, 0.628772,
	-0.240447, 1.156546, 0.464390, 0.654963, -0.242427, 1.145123, 0.455345, 0.681384, -0.242980,
	1.134322, 0.444885, 0.707173, -0.242150, 1.122665, 0.433338, 0.732477, -0.240435, 1.111733,
	0.420647, 0.757567, -0.237806, 1.101271, 0.406799, 0.782341, -0.233503, 1.091341, 0.391761,
	0.806690, -0.228346, 1.082042, 0.375576, 0.830804, -0.222386, 1.073504, 0.358545, 0.854940,
	-0.215141, 1.065880, 0.340431, 0.878709, -0.207207, 1.058850, 0.321690, 0.901928, -0.198273,
	1.052588, 0.301930, 0.924845, -0.188476, 1.046521, 0.281513, 0.946932, -0.177996, 1.040966,
	0.261234, 0.969256, -0.166644, 1.036670, 0.240356, 0.991323, -0.154968, 1.032694, 0.219748,
	1.013013, -0.142425, 1.030061, 0.199103, 1.032845, -0.129456, 1.027254, 0.178936, 1.051887,
	-0.115763, 1.025497, 0.159243, 1.069179, -0.101851, 1.023807, 0.139560, 1.084499, -0.087357,
	1.021441, 0.119607, 1.097921, -0.072796, 1.018780, 0.099501, 1.109281, -0.058037, 1.015566,
	0.079211, 1.118194, -0.043226, 1.011494, 0.058873, 1.125351, -0.028633, 1.007089, 0.038736,
	1.132002, -0.013996, 1.003014, 0.019063, 1.138951, 0.000132, 1.000036, -0.000007, 0.000200,
	-0.000109, 1.296791, 0.544571, 0.000504, -0.000274, 1.296055, 0.544568, 0.002016, -0.001098,
	1.297239, 0.544568, 0.004535, -0.002470, 1.296600, 0.544568, 0.008062, -0.004390, 1.296368,
	0.544559, 0.012597, -0.006860, 1.296454, 0.544566, 0.018141, -0.009878, 1.296522, 0.544565,
	0.024693, -0.013444, 1.296536, 0.544560, 0.032256, -0.017559, 1.296638, 0.544557, 0.040824,
	-0.022218, 1.296491, 0.544547, 0.050408, -0.027426, 1.296552, 0.544532, 0.060997, -0.033173,
	1.296283, 0.544518, 0.072600, -0.039463, 1.296113, 0.544496, 0.085220, -0.046292, 1.295894,
	0.544466, 0.098851, -0.053648, 1.295545, 0.544422, 0.113496, -0.061487, 1.295201, 0.544371,
	0.129112, -0.069467, 1.294754, 0.544273, 0.145765, -0.078092, 1.294209, 0.544160, 0.163431,
	-0.087231, 1.293534, 0.544017, 0.182088, -0.096837, 1.292580, 0.543828, 0.201698, -0.106713,
	1.291586, 0.543585, 0.222231, -0.116699, 1.290325, 0.543238, 0.243653, -0.127208, 1.288888,
	0.542836, 0.265855, -0.137949, 1.287131, 0.542329, 0.288623, -0.148847, 1.284936, 0.541700,
	0.311830, -0.160204, 1.282109, 0.540997, 0.335728, -0.171324, 1.278036, 0.540045, 0.361403,
	-0.181915, 1.273912, 0.538603, 0.387647, -0.192124, 1.268881, 0.536741, 0.414217, -0.201807,
	1.262363, 0.534432, 0.441090, -0.211093, 1.254755, 0.531623, 0.467823, -0.219678, 1.245456,
	0.528314, 0.494361, -0.227581, 1.234953, 0.524391, 0.521264, -0.235087, 1.224839, 0.519902,
	0.547881, -0.241508, 1.213175, 0.514574, 0.574965, -0.246315, 1.200505, 0.507837, 0.601847,
	-0.250061, 1.187901, 0.500286, 0.628207, -0.252822, 1.174601, 0.491502, 0.654445, -0.254691,
	1.161944, 0.481726, 0.680175, -0.255318, 1.149305, 0.470727, 0.706168, -0.254257, 1.136708,
	0.458045, 0.731458, -0.252100, 1.124047, 0.444438, 0.756378, -0.249115, 1.112942, 0.429611,
	0.781311, -0.244899, 1.101800, 0.413501, 0.805755, -0.239225, 1.091662, 0.395889, 0.829867,
	-0.232830, 1.082291, 0.377860, 0.853067, -0.225193, 1.072820, 0.358704, 0.877084, -0.216648,
	1.065415, 0.338413, 0.900123, -0.207390, 1.058403, 0.317596, 0.923370, -0.197095, 1.051412,
	0.296301, 0.946021, -0.186084, 1.045877, 0.274498, 0.967669, -0.174262, 1.040316, 0.252565,
	0.989761, -0.161814, 1.035489, 0.230312, 1.012163, -0.149076, 1.032540, 0.208746, 1.032547,
	-0.135299, 1.029598, 0.187180, 1.052032, -0.121277, 1.027355, 0.166482, 1.069907, -0.106582,
	1.025622, 0.145939, 1.085563, -0.091589, 1.023244, 0.125362, 1.099447, -0.076263, 1.020661,
	0.104087, 1.110848, -0.060825, 1.017035, 0.083036, 1.119923, -0.045319, 1.012675, 0.061719,
	1.126805, -0.029852, 1.007668, 0.040583, 1.133282, -0.014846, 1.003335, 0.019969, 1.140128,
	0.000149, 1.000024, -0.000037, 0.000200, -0.000116, 1.334863, 0.577350, 0.000504, -0.000291,
	1.333350, 0.577348, 0.002015, -0.001164, 1.332853, 0.577347, 0.004535, -0.002618, 1.333295,
	0.577347, 0.008062, -0.004655, 1.333189, 0.577336, 0.012598, -0.007273, 1.333309, 0.577345,
	0.018141, -0.010472, 1.333274, 0.577342, 0.024694, -0.014253, 1.333231, 0.577339, 0.032254,
	-0.018614, 1.333265, 0.577332, 0.040827, -0.023556, 1.333261, 0.577321, 0.050400, -0.029069,
	1.332893, 0.577309, 0.061000, -0.035166, 1.332998, 0.577288, 0.072608, -0.041833, 1.332901,
	0.577263, 0.085227, -0.049067, 1.332603, 0.577226, 0.098864, -0.056860, 1.332264, 0.577177,
	0.113507, -0.065114, 1.331825, 0.577109, 0.129146, -0.073610, 1.331311, 0.577005, 0.145808,
	-0.082766, 1.330639, 0.576872, 0.163494, -0.092458, 1.329878, 0.576709, 0.182176, -0.102639,
	1.328889, 0.576501, 0.201804, -0.112983, 1.327710, 0.576207, 0.222394, -0.123650, 1.326256,
	0.575823, 0.243881, -0.134780, 1.324593, 0.575363, 0.266122, -0.145931, 1.322426, 0.574751,
	0.289043, -0.157500, 1.319837, 0.574033, 0.312330, -0.169208, 1.316301, 0.573181, 0.336120,
	-0.181125, 1.312251, 0.572188, 0.361506, -0.192232, 1.307003, 0.570631, 0.387757, -0.202981,
	1.301068, 0.568558, 0.414365, -0.213160, 1.293695, 0.566027, 0.440986, -0.222617, 1.283958,
	0.562942, 0.467943, -0.231583, 1.274057, 0.559219, 0.494821, -0.239881, 1.262864, 0.554913,
	0.521486, -0.247336, 1.250633, 0.549953, 0.547884, -0.253921, 1.237448, 0.544251, 0.574582,
	-0.259099, 1.223164, 0.537120, 0.601342, -0.262695, 1.208784, 0.528650, 0.627861, -0.265337,
	1.194424, 0.518978, 0.653745, -0.266872, 1.179361, 0.508525, 0.679348, -0.267403, 1.165010,
	0.496705, 0.705068, -0.266429, 1.151693, 0.482926, 0.730312, -0.263829, 1.137584, 0.468519,
	0.755576, -0.260491, 1.125328, 0.452213, 0.780371, -0.256166, 1.113759, 0.435127, 0.804632,
	-0.250079, 1.101656, 0.416833, 0.828983, -0.243181, 1.091235, 0.397009, 0.852585, -0.235383,
	1.081475, 0.376647, 0.875237, -0.226031, 1.071806, 0.355506, 0.899152, -0.216343, 1.064453,
	0.333133, 0.922121, -0.205772, 1.057161, 0.311073, 0.944523, -0.193980, 1.050447, 0.287781,
	0.967313, -0.181920, 1.044531, 0.264350, 0.989042, -0.168822, 1.039312, 0.241128, 1.010881,
	-0.155350, 1.035298, 0.218138, 1.032368, -0.141231, 1.032073, 0.195579, 1.052254, -0.126521,
	1.029395, 0.173399, 1.070207, -0.111243, 1.026938, 0.151866, 1.086528, -0.095617, 1.024957,
	0.130711, 1.100670, -0.079687, 1.021924, 0.108865, 1.112461, -0.063593, 1.018281, 0.086760,
	1.121588, -0.047313, 1.013747, 0.064575, 1.128522, -0.031385, 1.008433, 0.042499, 1.134759,
	-0.015356, 1.003569, 0.020840, 1.141448, 0.000114, 0.999978, -0.000056, 0.000200, -0.000122,
	1.372763, 0.611086, 0.000503, -0.000308, 1.371456, 0.611084, 0.002016, -0.001232, 1.373440,
	0.611084, 0.004535, -0.002771, 1.373387, 0.611083, 0.008061, -0.004926, 1.372916, 0.611083,
	0.012601, -0.007700, 1.373956, 0.611084, 0.018142, -0.011084, 1.373419, 0.611078, 0.024695,
	-0.015087, 1.373492, 0.611074, 0.032255, -0.019701, 1.373360, 0.611066, 0.040827, -0.024930,
	1.373327, 0.611055, 0.050408, -0.030769, 1.373222, 0.611037, 0.061004, -0.037217, 1.373079,
	0.611014, 0.072613, -0.044270, 1.372895, 0.610982, 0.085238, -0.051923, 1.372624, 0.610941,
	0.098878, -0.060161, 1.372252, 0.610883, 0.113522, -0.068785, 1.371785, 0.610798, 0.129176,
	-0.077863, 1.371103, 0.610683, 0.145876, -0.087593, 1.370541, 0.610537, 0.163570, -0.097847,
	1.369496, 0.610349, 0.182283, -0.108592, 1.368477, 0.610109, 0.201930, -0.119420, 1.366980,
	0.609763, 0.222570, -0.130789, 1.365375, 0.609343, 0.244123, -0.142514, 1.363456, 0.608815,
	0.266437, -0.154232, 1.360916, 0.608114, 0.289467, -0.166370, 1.357909, 0.607291, 0.312861,
	-0.178505, 1.353588, 0.606272, 0.336736, -0.190980, 1.349211, 0.605153, 0.361740, -0.202859,
	1.343319, 0.603548, 0.387878, -0.213997, 1.335908, 0.601268, 0.414357, -0.224584, 1.326676,
	0.598499, 0.441442, -0.234664, 1.317331, 0.595066, 0.468409, -0.243875, 1.305818, 0.590996,
	0.494999, -0.252121, 1.291863, 0.586293, 0.521730, -0.259714, 1.278212, 0.580840, 0.547894,
	-0.266242, 1.262656, 0.574494, 0.573865, -0.271578, 1.246364, 0.567007, 0.601124, -0.275503,
	1.231274, 0.557771, 0.627606, -0.277954, 1.215252, 0.547255, 0.654004, -0.279404, 1.199977,
	0.535766, 0.679554, -0.279632, 1.183995, 0.522792, 0.704280, -0.278457, 1.167428, 0.508488,
	0.729830, -0.275706, 1.152760, 0.492425, 0.754376, -0.271640, 1.137942, 0.475285, 0.779209,
	-0.266911, 1.125222, 0.456679, 0.803562, -0.260838, 1.112179, 0.437267, 0.827985, -0.253353,
	1.101439, 0.416227, 0.851737, -0.245027, 1.089890, 0.394728, 0.874850, -0.235719, 1.080018,
	0.372244, 0.897680, -0.225051, 1.070807, 0.348846, 0.921351, -0.214051, 1.063180, 0.324961,
	0.943818, -0.202039, 1.056148, 0.300836, 0.966368, -0.189134, 1.049277, 0.276333, 0.987426,
	-0.175613, 1.042176, 0.251862, 1.010162, -0.161473, 1.038567, 0.227217, 1.031224, -0.146866,
	1.034102, 0.203582, 1.052317, -0.131644, 1.031600, 0.180629, 1.070879, -0.115909, 1.028913,
	0.158165, 1.087407, -0.099638, 1.026193, 0.135905, 1.102159, -0.083091, 1.023567, 0.113394,
	1.114006, -0.066178, 1.019567, 0.090325, 1.123374, -0.049430, 1.014856, 0.067302, 1.130310,
	-0.032557, 1.009141, 0.044264, 1.136334, -0.016157, 1.003984, 0.021807, 1.142961, 0.000172,
	0.999951, -0.000077, 0.000200, -0.000129, 1.416584, 0.645866, 0.000504, -0.000326, 1.417762,
	0.645865, 0.002016, -0.001302, 1.417825, 0.645866, 0.004535, -0.002929, 1.417142, 0.645865,
	0.008062, -0.005207, 1.416968, 0.645864, 0.012598, -0.008136, 1.417109, 0.645862, 0.018141,
	-0.011715, 1.417001, 0.645859, 0.024690, -0.015941, 1.416878, 0.645853, 0.032257, -0.020823,
	1.417134, 0.645843, 0.040827, -0.026347, 1.416983, 0.645829, 0.050411, -0.032518, 1.416949,
	0.645808, 0.061007, -0.039330, 1.416694, 0.645781, 0.072621, -0.046783, 1.416599, 0.645746,
	0.085249, -0.054865, 1.416241, 0.645695, 0.098897, -0.063563, 1.415832, 0.645630, 0.113546,
	-0.072607, 1.415264, 0.645529, 0.129220, -0.082257, 1.414482, 0.645396, 0.145888, -0.092515,
	1.413626, 0.645268, 0.163659, -0.103393, 1.412710, 0.645018, 0.182385, -0.114684, 1.411418,
	0.644739, 0.202078, -0.126098, 1.409822, 0.644348, 0.222772, -0.138145, 1.407948, 0.643872,
	0.244370, -0.150405, 1.405678, 0.643255, 0.266787, -0.162798, 1.402763, 0.642463, 0.289844,
	-0.175434, 1.398863, 0.641504, 0.313540, -0.188158, 1.394695, 0.640346, 0.337489, -0.201014,
	1.389376, 0.639042, 0.362008, -0.213719, 1.382439, 0.637412, 0.387990, -0.225248, 1.373281,
	0.634930, 0.414728, -0.236348, 1.363729, 0.631861, 0.441635, -0.246701, 1.352304, 0.628155,
	0.468588, -0.256167, 1.339162, 0.623625, 0.495337, -0.264662, 1.323811, 0.618458, 0.521886,
	-0.272207, 1.307630, 0.612373, 0.548355, -0.278890, 1.291265, 0.605263, 0.574535, -0.284442,
	1.273752, 0.597048, 0.600870, -0.288389, 1.256171, 0.587401, 0.627715, -0.290816, 1.238447,
	0.576001, 0.653830, -0.291886, 1.221036, 0.563198, 0.679175, -0.291629, 1.202283, 0.549249,
	0.704539, -0.290489, 1.185866, 0.533881, 0.729126, -0.287529, 1.168822, 0.516966, 0.754297,
	-0.283184, 1.152934, 0.498501, 0.778678, -0.277732, 1.137821, 0.478728, 0.802473, -0.271203,
	1.123387, 0.457814, 0.826596, -0.263494, 1.110573, 0.435865, 0.850835, -0.254572, 1.099099,
	0.412597, 0.874203, -0.244815, 1.088403, 0.388995, 0.897271, -0.233993, 1.078085, 0.364487,
	0.919667, -0.221934, 1.068543, 0.339344, 0.943001, -0.209714, 1.061081, 0.313770, 0.965688,
	-0.196367, 1.054023, 0.287928, 0.987598, -0.182263, 1.047247, 0.262157, 1.009280, -0.167775,
	1.041376, 0.236855, 1.031762, -0.152530, 1.037647, 0.211847, 1.051965, -0.136809, 1.033396,
	0.187546, 1.071699, -0.120418, 1.031021, 0.164186, 1.088881, -0.103618, 1.028403, 0.141184,
	1.103482, -0.086271, 1.024987, 0.117665, 1.115646, -0.068973, 1.020884, 0.093896, 1.125258,
	-0.051285, 1.015966, 0.069978, 1.132045, -0.033998, 1.009990, 0.046126, 1.138004, -0.016696,
	1.004270, 0.022635, 1.144463, 0.000089, 0.999987, -0.000016, 0.000200, -0.000136, 1.463614,
	0.681786, 0.000504, -0.000344, 1.465345, 0.681785, 0.002015, -0.001374, 1.464172, 0.681783,
	0.004535, -0.003092, 1.464846, 0.681784, 0.008062, -0.005496, 1.464783, 0.681784, 0.012598,
	-0.008588, 1.464883, 0.681781, 0.018141, -0.012366, 1.464740, 0.681777, 0.024692, -0.016829,
	1.464665, 0.681770, 0.032258, -0.021980, 1.464720, 0.681760, 0.040829, -0.027811, 1.464625,
	0.681742, 0.050415, -0.034324, 1.464571, 0.681720, 0.061013, -0.041513, 1.464346, 0.681688,
	0.072628, -0.049375, 1.464131, 0.681644, 0.085264, -0.057903, 1.463847, 0.681588, 0.098918,
	-0.067067, 1.463369, 0.681509, 0.113568, -0.076570, 1.462549, 0.681389, 0.129265, -0.086782,
	1.461703, 0.681239, 0.145997, -0.097637, 1.460840, 0.681047, 0.163751, -0.109101, 1.459737,
	0.680806, 0.182505, -0.120922, 1.458231, 0.680480, 0.202241, -0.133007, 1.456393, 0.680042,
	0.222987, -0.145693, 1.454258, 0.679503, 0.244638, -0.158488, 1.451543, 0.678792, 0.267132,
	-0.171585, 1.448115, 0.677907, 0.290365, -0.184746, 1.443992, 0.676796, 0.314178, -0.198101,
	1.439271, 0.675498, 0.338289, -0.211370, 1.432830, 0.673922, 0.362543, -0.224489, 1.424163,
	0.672151, 0.388470, -0.236914, 1.415160, 0.669601, 0.415105, -0.248342, 1.403811, 0.666255,
	0.441925, -0.258957, 1.390149, 0.662166, 0.468668, -0.268556, 1.374104, 0.657229, 0.495720,
	-0.277359, 1.358102, 0.651347, 0.522574, -0.285078, 1.340754, 0.644598, 0.548981, -0.291718,
	1.322033, 0.636820, 0.574946, -0.297087, 1.302148, 0.627812, 0.600744, -0.301079, 1.282130,
	0.617485, 0.627565, -0.303566, 1.263339, 0.605047, 0.653598, -0.304330, 1.242712, 0.591167,
	0.679239, -0.303820, 1.223212, 0.576025, 0.704043, -0.302064, 1.203763, 0.559649, 0.728796,
	-0.299095, 1.185434, 0.541271, 0.753581, -0.294392, 1.167630, 0.521800, 0.778577, -0.288603,
	1.151930, 0.500628, 0.802550, -0.281604, 1.136072, 0.478434, 0.825803, -0.273472, 1.121673,
	0.455384, 0.849768, -0.264011, 1.108491, 0.430811, 0.873250, -0.253653, 1.096550, 0.405524,
	0.896725, -0.242642, 1.085905, 0.380038, 0.919158, -0.230191, 1.075091, 0.353482, 0.942236,
	-0.217145, 1.066848, 0.326605, 0.965031, -0.203555, 1.059310, 0.299842, 0.987048, -0.188777,
	1.051749, 0.272859, 1.008718, -0.173613, 1.044999, 0.246040, 1.031097, -0.157972, 1.040066,
	0.219826, 1.052493, -0.141589, 1.035951, 0.194278, 1.071773, -0.124814, 1.032520, 0.169830,
	1.089646, -0.107321, 1.029803, 0.146135, 1.104932, -0.089726, 1.026612, 0.122127, 1.117687,
	-0.071433, 1.022391, 0.097461, 1.127188, -0.053395, 1.017113, 0.072556, 1.134010, -0.035151,
	1.010934, 0.047749, 1.139746, -0.017427, 1.004633, 0.023530, 1.146205, 0.000151, 1.000020,
	-0.000106, 0.000200, -0.000144, 1.517643, 0.718949, 0.000504, -0.000362, 1.516387, 0.718947,
	0.002016, -0.001449, 1.516742, 0.718946, 0.004536, -0.003261, 1.517196, 0.718946, 0.008063,
	-0.005796, 1.516806, 0.718945, 0.012598, -0.009057, 1.516986, 0.718943, 0.018140, -0.013039,
	1.516603, 0.718937, 0.024694, -0.017747, 1.516739, 0.718929, 0.032260, -0.023178, 1.516994,
	0.718917, 0.040831, -0.029325, 1.516649, 0.718896, 0.050419, -0.036192, 1.516594, 0.718870,
	0.061019, -0.043770, 1.516327, 0.718833, 0.072638, -0.052056, 1.516054, 0.718782, 0.085274,
	-0.061039, 1.515628, 0.718714, 0.098938, -0.070676, 1.515199, 0.718623, 0.113607, -0.080679,
	1.514222, 0.718483, 0.129329, -0.091485, 1.513354, 0.718316, 0.146077, -0.102931, 1.512301,
	0.718096, 0.163856, -0.114986, 1.510977, 0.717818, 0.182640, -0.127305, 1.509225, 0.717432,
	0.202432, -0.140147, 1.507152, 0.716939, 0.223229, -0.153468, 1.504780, 0.716331, 0.244943,
	-0.166875, 1.501612, 0.715527, 0.267559, -0.180658, 1.497898, 0.714523, 0.290926, -0.194405,
	1.493208, 0.713266, 0.314863, -0.208302, 1.487388, 0.711758, 0.339053, -0.222020, 1.479677,
	0.709982, 0.363627, -0.235683, 1.470950, 0.707958, 0.388887, -0.248723, 1.459907, 0.705346,
	0.415474, -0.260563, 1.446579, 0.701644, 0.442065, -0.271352, 1.429962, 0.697134, 0.469418,
	-0.281541, 1.414343, 0.691665, 0.496419, -0.290429, 1.395681, 0.685227, 0.523071, -0.298032,
	1.375347, 0.677815, 0.549641, -0.304679, 1.354816, 0.669063, 0.575489, -0.309902, 1.332505,
	0.659071, 0.601108, -0.313771, 1.309752, 0.647799, 0.627199, -0.316225, 1.288381, 0.634856,
	0.653243, -0.316679, 1.265785, 0.619627, 0.678960, -0.315816, 1.244333, 0.603244, 0.704055,
	-0.313776, 1.223315, 0.585191, 0.728713, -0.310417, 1.203142, 0.565969, 0.753301, -0.305786,
	1.184323, 0.545347, 0.777890, -0.299262, 1.166070, 0.522753, 0.802354, -0.291830, 1.149599,
	0.499017, 0.826005, -0.283281, 1.133655, 0.474335, 0.848920, -0.273512, 1.118132, 0.449019,
	0.872765, -0.262525, 1.105606, 0.422329, 0.895950, -0.250769, 1.093539, 0.395057, 0.918816,
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	1.064054, 0.311239, 0.987128, -0.195488, 1.056645, 0.283272, 1.009064, -0.179491, 1.049549,
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	1.655604, 0.854835, 0.445080, -0.324500, 1.632250, 0.848353, 0.472289, -0.335295, 1.605069,
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	0.779042, -0.340774, 1.232965, 0.611015, 0.802839, -0.331767, 1.209775, 0.581877, 0.825793,
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	0.142222, 1.127939, -0.083623, 1.029807, 0.113802, 1.138391, -0.062589, 1.023312, 0.085164,
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	0.000097, 0.999949, -0.000046, 0.000200, -0.000185, 1.858268, 0.927857, 0.000504, -0.000468,
	1.861583, 0.927859, 0.002016, -0.001870, 1.860659, 0.927855, 0.004535, -0.004208, 1.860963,
	0.927867, 0.008063, -0.007480, 1.860766, 0.927855, 0.012594, -0.011683, 1.859996, 0.927851,
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	1.859827, 0.927690, 0.061066, -0.056446, 1.859624, 0.927610, 0.072713, -0.067109, 1.859039,
	0.927505, 0.085393, -0.078613, 1.858144, 0.927357, 0.099120, -0.090747, 1.856618, 0.927145,
	0.113910, -0.103850, 1.855221, 0.926884, 0.129755, -0.117777, 1.853470, 0.926546, 0.146669,
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	1.845281, 0.924802, 0.203832, -0.179763, 1.841273, 0.923871, 0.225029, -0.196564, 1.836481,
	0.922691, 0.247221, -0.213537, 1.830273, 0.921198, 0.270343, -0.230662, 1.822374, 0.919320,
	0.294399, -0.247740, 1.812975, 0.917008, 0.319040, -0.264448, 1.800693, 0.914141, 0.344269,
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	1.744434, 0.901918, 0.420583, -0.325578, 1.720938, 0.896240, 0.446200, -0.338384, 1.693005,
	0.889335, 0.472969, -0.349187, 1.660901, 0.880394, 0.500490, -0.358687, 1.628806, 0.869705,
	0.527312, -0.366042, 1.593001, 0.857145, 0.554207, -0.372045, 1.557046, 0.842943, 0.580620,
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	1.445954, 0.789119, 0.657021, -0.378972, 1.410833, 0.767564, 0.681686, -0.376728, 1.376575,
	0.744338, 0.706498, -0.372844, 1.342935, 0.718799, 0.731258, -0.366649, 1.311052, 0.691756,
	0.755937, -0.359354, 1.280478, 0.662683, 0.779259, -0.350487, 1.250585, 0.632892, 0.803295,
	-0.340941, 1.225722, 0.602160, 0.826570, -0.330174, 1.201003, 0.570520, 0.849954, -0.317854,
	1.178488, 0.537651, 0.873696, -0.304426, 1.158302, 0.503799, 0.896695, -0.290120, 1.139886,
	0.469645, 0.919149, -0.275106, 1.122884, 0.435625, 0.942121, -0.259282, 1.107691, 0.401228,
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	0.173918, 1.115586, -0.107339, 1.036850, 0.145531, 1.130170, -0.086203, 1.031427, 0.116890,
	1.141018, -0.064171, 1.024395, 0.087388, 1.147681, -0.042530, 1.015719, 0.057733, 1.152560,
	-0.021011, 1.006883, 0.028413, 1.158406, 0.000158, 0.999897, -0.000106, 0.000200, -0.000195,
	1.950982, 0.975366, 0.000504, -0.000491, 1.950207, 0.975365, 0.002015, -0.001966, 1.950675,
	0.975362, 0.004535, -0.004423, 1.951281, 0.975370, 0.008062, -0.007863, 1.951045, 0.975362,
	0.012597, -0.012285, 1.951199, 0.975356, 0.018145, -0.017692, 1.951528, 0.975340, 0.024699,
	-0.024074, 1.951194, 0.975321, 0.032266, -0.031434, 1.950865, 0.975288, 0.040853, -0.039771,
	1.951038, 0.975244, 0.050452, -0.049067, 1.950336, 0.975173, 0.061077, -0.059324, 1.949805,
	0.975078, 0.072736, -0.070526, 1.949133, 0.974951, 0.085431, -0.082528, 1.947947, 0.974777,
	0.099182, -0.095345, 1.946337, 0.974540, 0.113999, -0.109118, 1.944725, 0.974241, 0.129888,
	-0.123741, 1.942857, 0.973852, 0.146842, -0.139071, 1.940251, 0.973342, 0.164890, -0.154986,
	1.937086, 0.972684, 0.184025, -0.171661, 1.933404, 0.971856, 0.204245, -0.188672, 1.928770,
	0.970785, 0.225528, -0.206252, 1.923041, 0.969448, 0.247841, -0.223972, 1.915788, 0.967742,
	0.271157, -0.241827, 1.907008, 0.965607, 0.295297, -0.259562, 1.895854, 0.963007, 0.320121,
	-0.276909, 1.881289, 0.959722, 0.345566, -0.293883, 1.864528, 0.955831, 0.371012, -0.309816,
	1.842062, 0.951127, 0.396834, -0.325157, 1.818068, 0.945725, 0.422277, -0.339357, 1.788874,
	0.939318, 0.447928, -0.352387, 1.758283, 0.931470, 0.474315, -0.363680, 1.723668, 0.921900,
	0.501560, -0.372963, 1.686081, 0.909996, 0.528391, -0.380159, 1.645816, 0.896244, 0.554754,
	-0.385545, 1.603709, 0.880326, 0.581888, -0.389778, 1.565475, 0.862716, 0.607791, -0.391839,
	1.524196, 0.843146, 0.633511, -0.392331, 1.483921, 0.821554, 0.658621, -0.391193, 1.445013,
	0.798336, 0.683160, -0.388424, 1.406963, 0.773299, 0.707429, -0.384104, 1.370996, 0.746668,
	0.732212, -0.377945, 1.335879, 0.717502, 0.756871, -0.369856, 1.302489, 0.686954, 0.781065,
	-0.360707, 1.271815, 0.655372, 0.804167, -0.350091, 1.242416, 0.622683, 0.827948, -0.338941,
	1.217208, 0.589185, 0.850901, -0.326427, 1.192354, 0.555005, 0.873589, -0.312199, 1.169639,
	0.519594, 0.897085, -0.297374, 1.150181, 0.484105, 0.920459, -0.281932, 1.132858, 0.448661,
	0.942637, -0.265625, 1.115401, 0.413051, 0.965341, -0.248332, 1.101078, 0.377329, 0.987530,
	-0.229983, 1.087377, 0.342349, 1.010739, -0.211647, 1.076582, 0.307824, 1.033449, -0.192725,
	1.065900, 0.273368, 1.055618, -0.172726, 1.056958, 0.240238, 1.079345, -0.152640, 1.049620,
	0.208322, 1.100058, -0.131931, 1.044084, 0.178242, 1.118547, -0.110351, 1.039387, 0.149493,
	1.132748, -0.088128, 1.033049, 0.119673, 1.143419, -0.066069, 1.025521, 0.089728, 1.150316,
	-0.043513, 1.016378, 0.059253, 1.155208, -0.021593, 1.007506, 0.029140, 1.160871, 0.000111,
	0.999916, -0.000035, 0.000201, -0.000206, 2.061000, 1.025243, 0.000504, -0.000516, 2.049647,
	1.025237, 0.002015, -0.002066, 2.050169, 1.025237, 0.004535, -0.004650, 2.051254, 1.025255,
	0.008063, -0.008266, 2.051302, 1.025236, 0.012600, -0.012915, 2.051508, 1.025226, 0.018144,
	-0.018594, 2.050981, 1.025215, 0.024700, -0.025304, 2.050841, 1.025190, 0.032267, -0.033038,
	2.050537, 1.025152, 0.040852, -0.041795, 2.050660, 1.025090, 0.050460, -0.051570, 2.049921,
	1.025017, 0.061094, -0.062347, 2.049350, 1.024908, 0.072762, -0.074111, 2.048517, 1.024760,
	0.085475, -0.086661, 2.047009, 1.024555, 0.099249, -0.100160, 2.045261, 1.024278, 0.114106,
	-0.114628, 2.043508, 1.023941, 0.130032, -0.130002, 2.041321, 1.023488, 0.147050, -0.145985,
	2.038299, 1.022905, 0.165164, -0.162762, 2.034658, 1.022151, 0.184380, -0.180172, 2.030312,
	1.021200, 0.204704, -0.198022, 2.024944, 1.019966, 0.226129, -0.216359, 2.018546, 1.018424,
	0.248582, -0.234923, 2.010153, 1.016519, 0.272011, -0.253474, 1.999659, 1.014072, 0.296259,
	-0.271820, 1.986076, 1.011071, 0.321423, -0.289959, 1.970618, 1.007389, 0.346897, -0.307283,
	1.949667, 1.002955, 0.372750, -0.323817, 1.925287, 0.997633, 0.398603, -0.339241, 1.896006,
	0.991354, 0.424351, -0.353633, 1.863658, 0.983937, 0.449887, -0.366660, 1.827430, 0.975254,
	0.475715, -0.378213, 1.789521, 0.964753, 0.502204, -0.387133, 1.745632, 0.951594, 0.530179,
	-0.394976, 1.705347, 0.936344, 0.556732, -0.400134, 1.658928, 0.918907, 0.583123, -0.403439,
	1.613077, 0.899504, 0.609477, -0.405285, 1.567884, 0.878172, 0.634927, -0.405055, 1.523507,
	0.854396, 0.660357, -0.403494, 1.481712, 0.829259, 0.684851, -0.400104, 1.439000, 0.802359,
	0.709654, -0.395536, 1.400956, 0.773534, 0.733472, -0.388996, 1.362156, 0.743230, 0.757502,
	-0.380263, 1.325113, 0.711090, 0.782249, -0.370594, 1.292913, 0.677166, 0.806017, -0.359509,
	1.262088, 0.642527, 0.828687, -0.347126, 1.232059, 0.607589, 0.852372, -0.334474, 1.207160,
	0.571938, 0.874266, -0.320074, 1.181978, 0.535518, 0.898168, -0.304719, 1.161156, 0.498375,
	0.920456, -0.288246, 1.140667, 0.461179, 0.942832, -0.271311, 1.122780, 0.424533, 0.966458,
	-0.254154, 1.108743, 0.387784, 0.988907, -0.235659, 1.093872, 0.351689, 1.011557, -0.216322,
	1.081959, 0.315743, 1.035099, -0.197007, 1.070885, 0.280402, 1.056354, -0.176878, 1.059968,
	0.246472, 1.079854, -0.156058, 1.051815, 0.212818, 1.101494, -0.134772, 1.045757, 0.182143,
	1.120587, -0.113071, 1.041169, 0.152867, 1.135399, -0.090411, 1.034844, 0.122796, 1.146612,
	-0.067477, 1.026974, 0.091888, 1.153168, -0.044849, 1.017303, 0.060779, 1.157912, -0.021998,
	1.007735, 0.029919, 1.163607, 0.000121, 0.999959, 0.000003, 0.000200, -0.000216, 2.163956,
	1.077737, 0.000504, -0.000543, 2.161128, 1.077732, 0.002016, -0.002173, 2.162732, 1.077729,
	0.004535, -0.004887, 2.161402, 1.077749, 0.008066, -0.008692, 2.163252, 1.077732, 0.012599,
	-0.013576, 2.161300, 1.077727, 0.018145, -0.019546, 2.161151, 1.077702, 0.024702, -0.026599,
	2.161223, 1.077675, 0.032272, -0.034729, 2.160949, 1.077632, 0.040862, -0.043936, 2.160967,
	1.077575, 0.050470, -0.054203, 2.160035, 1.077473, 0.061113, -0.065528, 2.159490, 1.077348,
	0.072794, -0.077882, 2.158517, 1.077178, 0.085528, -0.091030, 2.156605, 1.076937, 0.099337,
	-0.105251, 2.154828, 1.076631, 0.114228, -0.120456, 2.152812, 1.076229, 0.130202, -0.136573,
	2.150298, 1.075713, 0.147284, -0.153306, 2.146752, 1.075031, 0.165480, -0.170931, 2.142744,
	1.074173, 0.184793, -0.189083, 2.137475, 1.073063, 0.205224, -0.207840, 2.131320, 1.071683,
	0.226743, -0.226939, 2.123154, 1.069914, 0.249401, -0.246344, 2.114086, 1.067718, 0.272955,
	-0.265640, 2.101599, 1.064924, 0.297494, -0.284846, 2.086612, 1.061512, 0.322731, -0.303452,
	2.067356, 1.057359, 0.348451, -0.321330, 2.043711, 1.052294, 0.374451, -0.338201, 2.015033,
	1.046153, 0.400454, -0.353816, 1.981139, 1.039003, 0.426434, -0.368216, 1.944128, 1.030498,
	0.452088, -0.381251, 1.903094, 1.020454, 0.477901, -0.392833, 1.860402, 1.008793, 0.504173,
	-0.402408, 1.814402, 0.994791, 0.531520, -0.409545, 1.766273, 0.977733, 0.558049, -0.414351,
	1.714119, 0.958625, 0.584778, -0.417437, 1.664612, 0.937189, 0.610808, -0.418519, 1.613793,
	0.913543, 0.636915, -0.418094, 1.565942, 0.888137, 0.662204, -0.415742, 1.518783, 0.860728,
	0.686848, -0.411746, 1.473306, 0.831793, 0.710992, -0.406153, 1.430153, 0.800862, 0.735382,
	-0.399519, 1.389824, 0.768768, 0.759079, -0.390927, 1.350744, 0.734825, 0.782912, -0.380111,
	1.313559, 0.699450, 0.806746, -0.368383, 1.280028, 0.663191, 0.830269, -0.355606, 1.249814,
	0.625927, 0.853305, -0.341988, 1.221138, 0.588644, 0.876326, -0.327545, 1.195837, 0.550849,
	0.898322, -0.311779, 1.171844, 0.512694, 0.921811, -0.294944, 1.150671, 0.474225, 0.944563,
	-0.277333, 1.132224, 0.435772, 0.967089, -0.259340, 1.115422, 0.398001, 0.989754, -0.240836,
	1.100405, 0.360802, 1.012470, -0.221293, 1.086533, 0.323566, 1.036426, -0.201191, 1.075496,
	0.287387, 1.058709, -0.180590, 1.064233, 0.252184, 1.081593, -0.159810, 1.055296, 0.218441,
	1.103146, -0.137772, 1.047978, 0.186223, 1.122814, -0.115347, 1.042693, 0.156019, 1.137790,
	-0.092582, 1.036049, 0.125579, 1.149184, -0.069152, 1.027944, 0.093986, 1.156062, -0.045661,
	1.018039, 0.062122, 1.160733, -0.022719, 1.008072, 0.030650, 1.166487, 0.000231, 1.000063,
	-0.000120, 0.000201, -0.000228, 2.308308, 1.133128, 0.000504, -0.000571, 2.283756, 1.133123,
	0.002016, -0.002284, 2.283756, 1.133123, 0.004535, -0.005138, 2.283310, 1.133144, 0.008048,
	-0.009119, 2.266192, 1.133138, 0.012600, -0.014274, 2.284377, 1.133110, 0.018147, -0.020553,
	2.284204, 1.133093, 0.024702, -0.027964, 2.283517, 1.133060, 0.032272, -0.036510, 2.282997,
	1.133007, 0.040866, -0.046188, 2.282986, 1.132930, 0.050481, -0.056979, 2.282260, 1.132824,
	0.061133, -0.068881, 2.281533, 1.132678, 0.072830, -0.081850, 2.280504, 1.132481, 0.085592,
	-0.095657, 2.278304, 1.132202, 0.099431, -0.110594, 2.276269, 1.131845, 0.114360, -0.126590,
	2.273890, 1.131383, 0.130388, -0.143454, 2.270761, 1.130784, 0.147547, -0.161029, 2.266794,
	1.130003, 0.165836, -0.179523, 2.262332, 1.129016, 0.185269, -0.198527, 2.256326, 1.127738,
	0.205822, -0.218138, 2.249031, 1.126156, 0.227527, -0.238141, 2.239993, 1.124132, 0.250325,
	-0.258302, 2.228878, 1.121594, 0.274070, -0.278329, 2.214204, 1.118449, 0.298793, -0.298310,
	2.196654, 1.114528, 0.324131, -0.317462, 2.173394, 1.109783, 0.350101, -0.335853, 2.146395,
	1.103901, 0.376293, -0.353064, 2.112341, 1.096954, 0.402547, -0.368950, 2.073700, 1.088642,
	0.428791, -0.383462, 2.031152, 1.078946, 0.454976, -0.396635, 1.986661, 1.067536, 0.480566,
	-0.407873, 1.937038, 1.054403, 0.506154, -0.417303, 1.885155, 1.038894, 0.532862, -0.424194,
	1.830369, 1.020535, 0.560354, -0.429344, 1.776976, 0.999295, 0.587114, -0.431949, 1.721214,
	0.975990, 0.613345, -0.432547, 1.665739, 0.950239, 0.639335, -0.431338, 1.612200, 0.922467,
	0.664996, -0.428473, 1.561035, 0.892593, 0.688947, -0.423355, 1.508240, 0.861325, 0.713403,
	-0.417235, 1.461776, 0.828289, 0.737649, -0.409848, 1.418888, 0.793863, 0.761275, -0.400901,
	1.376807, 0.758074, 0.784778, -0.390174, 1.337204, 0.721974, 0.808762, -0.377683, 1.301527,
	0.682718, 0.831993, -0.364037, 1.267144, 0.644001, 0.854696, -0.349494, 1.236023, 0.605478,
	0.877933, -0.334499, 1.209284, 0.565588, 0.900180, -0.318435, 1.183967, 0.526138, 0.923039,
	-0.301669, 1.161513, 0.486524, 0.945895, -0.283298, 1.140838, 0.446747, 0.968069, -0.264438,
	1.122475, 0.408041, 0.991179, -0.245463, 1.106968, 0.369477, 1.012926, -0.225680, 1.091435,
	0.331626, 1.036995, -0.205401, 1.079561, 0.294288, 1.060909, -0.184310, 1.068215, 0.257696,
	1.083531, -0.162846, 1.058133, 0.223343, 1.105644, -0.141040, 1.050851, 0.190541, 1.125691,
	-0.117965, 1.045001, 0.159310, 1.141297, -0.094377, 1.038028, 0.128238, 1.152672, -0.070831,
	1.029694, 0.096282, 1.159333, -0.046853, 1.019136, 0.063720, 1.163819, -0.022991, 1.008518,
	0.031234, 1.169564, 0.000125, 1.000069, -0.000024, 0.000202, -0.000241, 2.458341, 1.191742,
	0.000504, -0.000600, 2.418738, 1.191740, 0.002015, -0.002401, 2.418821, 1.191730, 0.004535,
	-0.005405, 2.421986, 1.191756, 0.008071, -0.009618, 2.424988, 1.191753, 0.012600, -0.015012,
	2.420242, 1.191727, 0.018145, -0.021612, 2.419937, 1.191703, 0.024704, -0.029410, 2.419746,
	1.191662, 0.032278, -0.038398, 2.419409, 1.191604, 0.040874, -0.048574, 2.418995, 1.191515,
	0.050496, -0.059920, 2.418190, 1.191389, 0.061160, -0.072432, 2.417487, 1.191221, 0.072871,
	-0.086009, 2.415853, 1.190984, 0.085664, -0.100559, 2.413669, 1.190664, 0.099543, -0.116283,
	2.411423, 1.190256, 0.114520, -0.133071, 2.408711, 1.189719, 0.130616, -0.150670, 2.404900,
	1.189019, 0.147856, -0.169197, 2.400512, 1.188125, 0.166235, -0.188545, 2.394939, 1.186972,
	0.185804, -0.208480, 2.388232, 1.185515, 0.206488, -0.228883, 2.379190, 1.183673, 0.228383,
	-0.249897, 2.369208, 1.181382, 0.251305, -0.270851, 2.355459, 1.178478, 0.275349, -0.291780,
	2.339142, 1.174857, 0.300106, -0.312257, 2.316655, 1.170411, 0.325849, -0.332225, 2.291540,
	1.164883, 0.351782, -0.350862, 2.257242, 1.158196, 0.378248, -0.368431, 2.218671, 1.150173,
	0.404674, -0.384428, 2.173680, 1.140703, 0.431385, -0.399230, 2.127083, 1.129555, 0.457407,
	-0.411875, 2.073236, 1.116436, 0.483275, -0.423013, 2.018223, 1.101373, 0.509278, -0.432624,
	1.962674, 1.084257, 0.534751, -0.439261, 1.900814, 1.064592, 0.561895, -0.443801, 1.839558,
	1.040881, 0.588677, -0.445872, 1.777763, 1.015208, 0.614900, -0.445896, 1.716550, 0.987252,
	0.641051, -0.444148, 1.657984, 0.957271, 0.666409, -0.440299, 1.600832, 0.924841, 0.691872,
	-0.435318, 1.548237, 0.891185, 0.716638, -0.428631, 1.497572, 0.855929, 0.739864, -0.419872,
	1.447043, 0.819676, 0.763707, -0.410456, 1.403648, 0.781455, 0.786744, -0.399390, 1.360844,
	0.742965, 0.809585, -0.386381, 1.320529, 0.703260, 0.834164, -0.372622, 1.286467, 0.662385,
	0.856713, -0.357177, 1.252306, 0.621379, 0.879820, -0.341458, 1.223070, 0.580238, 0.902721,
	-0.325024, 1.197115, 0.539028, 0.924650, -0.307543, 1.172314, 0.498592, 0.947613, -0.289557,
	1.151171, 0.457980, 0.969590, -0.269799, 1.129986, 0.417696, 0.992961, -0.250111, 1.113321,
	0.377529, 1.014582, -0.229761, 1.097149, 0.339096, 1.038069, -0.209375, 1.083913, 0.301119,
	1.061661, -0.188038, 1.071241, 0.263506, 1.085069, -0.165874, 1.060508, 0.227921, 1.107744,
	-0.143437, 1.052930, 0.194062, 1.127982, -0.120574, 1.046396, 0.162506, 1.144541, -0.096569,
	1.039880, 0.130788, 1.155876, -0.072039, 1.030946, 0.098057, 1.162719, -0.047888, 1.020124,
	0.064956, 1.167089, -0.023740, 1.008953, 0.031966, 1.172775, 0.000277, 1.000067, -0.000111,
	0.000200, -0.000251, 2.573709, 1.253951, 0.000504, -0.000632, 2.572401, 1.253940, 0.002015,
	-0.002527, 2.571267, 1.253927, 0.004535, -0.005687, 2.572481, 1.253948, 0.008062, -0.010108,
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	1.251590, 0.130882, -0.158362, 2.555017, 1.250766, 0.148202, -0.177856, 2.549419, 1.249744,
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	1.229292, 0.327423, -0.347300, 2.418630, 1.222997, 0.353848, -0.366699, 2.381002, 1.215366,
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	2.105639, 1.150401, 0.511959, -0.447348, 2.040835, 1.130990, 0.537586, -0.454152, 1.974797,
	1.109302, 0.564035, -0.458684, 1.907895, 1.084131, 0.590690, -0.460058, 1.839482, 1.055803,
	0.617250, -0.459662, 1.772332, 1.025103, 0.643406, -0.457260, 1.707313, 0.992502, 0.668794,
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	1.531197, 0.883841, 0.743469, -0.430429, 1.480765, 0.844931, 0.766080, -0.419622, 1.430338,
	0.804786, 0.789801, -0.408368, 1.386295, 0.764206, 0.812718, -0.395392, 1.343758, 0.722565,
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	1.182365, 0.510080, 0.949001, -0.294684, 1.159452, 0.468677, 0.971598, -0.275361, 1.138706,
	0.426723, 0.994905, -0.254947, 1.120552, 0.385875, 1.017981, -0.234109, 1.104215, 0.345751,
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	-0.169272, 1.063788, 0.232171, 1.109937, -0.146076, 1.054977, 0.197826, 1.130808, -0.122544,
	1.048572, 0.165272, 1.146831, -0.098492, 1.040742, 0.133280, 1.158955, -0.073710, 1.031818,
	0.100262, 1.166161, -0.048610, 1.020747, 0.066165, 1.170491, -0.024209, 1.009380, 0.032741,
	1.176111, 0.000010, 1.000042, 0.000056, 0.000202, -0.000267, 2.786357, 1.320169, 0.000504,
	-0.000665, 2.741889, 1.320168, 0.002015, -0.002660, 2.740000, 1.320143, 0.004536, -0.005987,
	2.744276, 1.320161, 0.008063, -0.010644, 2.743432, 1.320162, 0.012600, -0.016628, 2.741741,
	1.320148, 0.018144, -0.023937, 2.741314, 1.320127, 0.024708, -0.032577, 2.741916, 1.320061,
	0.032290, -0.042536, 2.742132, 1.319976, 0.040894, -0.053799, 2.741199, 1.319861, 0.050533,
	-0.066361, 2.740258, 1.319691, 0.061223, -0.080202, 2.739045, 1.319458, 0.072985, -0.095109,
	2.736519, 1.319138, 0.085841, -0.111296, 2.733903, 1.318715, 0.099808, -0.128685, 2.730944,
	1.318156, 0.114903, -0.147202, 2.727293, 1.317424, 0.131164, -0.166575, 2.722169, 1.316485,
	0.148599, -0.187019, 2.716148, 1.315274, 0.167245, -0.208240, 2.708701, 1.313733, 0.187078,
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	2.672621, 1.306247, 0.253802, -0.298066, 2.653619, 1.302374, 0.278261, -0.320673, 2.629943,
	1.297573, 0.303527, -0.342528, 2.599228, 1.291625, 0.329571, -0.363531, 2.562226, 1.284374,
	0.355939, -0.382963, 2.515491, 1.275478, 0.382987, -0.401306, 2.464858, 1.264866, 0.409917,
	-0.417455, 2.404877, 1.252184, 0.437015, -0.432067, 2.341408, 1.237415, 0.463474, -0.444204,
	2.271837, 1.220687, 0.489835, -0.454631, 2.200593, 1.200973, 0.516054, -0.463338, 2.129733,
	1.179346, 0.541397, -0.469425, 2.055635, 1.155039, 0.566798, -0.473526, 1.980812, 1.127866,
	0.593114, -0.474632, 1.904723, 1.097304, 0.619945, -0.473597, 1.832456, 1.063603, 0.646325,
	-0.470656, 1.761501, 1.027971, 0.672320, -0.465675, 1.694248, 0.990692, 0.697163, -0.458527,
	1.629227, 0.951582, 0.721472, -0.449904, 1.568132, 0.911197, 0.745855, -0.440140, 1.512084,
	0.869745, 0.770089, -0.429338, 1.460694, 0.827648, 0.792546, -0.416701, 1.410739, 0.784728,
	0.815161, -0.403151, 1.365438, 0.741884, 0.837994, -0.388714, 1.324811, 0.697800, 0.861220,
	-0.372573, 1.287723, 0.653341, 0.883737, -0.355024, 1.252491, 0.609455, 0.906784, -0.337092,
	1.221844, 0.565275, 0.928493, -0.318370, 1.192881, 0.521558, 0.951495, -0.299605, 1.169131,
	0.478149, 0.973586, -0.280067, 1.146316, 0.436325, 0.996400, -0.259823, 1.127860, 0.394409,
	1.019780, -0.238313, 1.110521, 0.353045, 1.042775, -0.216506, 1.093915, 0.312803, 1.066822,
	-0.194695, 1.080326, 0.274100, 1.089869, -0.172290, 1.067722, 0.236657, 1.113606, -0.149264,
	1.058471, 0.201603, 1.134229, -0.124814, 1.050701, 0.168398, 1.150922, -0.100070, 1.043051,
	0.135616, 1.163224, -0.075155, 1.033742, 0.102144, 1.169965, -0.049933, 1.021818, 0.067532,
	1.174200, -0.024461, 1.009916, 0.033215, 1.179766, 0.000188, 1.000045, -0.000014, 0.000202,
	-0.000281, 2.964186, 1.390880, 0.000505, -0.000702, 2.945157, 1.390903, 0.002015, -0.002802,
	2.931184, 1.390863, 0.004535, -0.006307, 2.935673, 1.390900, 0.008063, -0.011213, 2.934274,
	1.390890, 0.012598, -0.017516, 2.932216, 1.390876, 0.018147, -0.025221, 2.933324, 1.390832,
	0.024711, -0.034322, 2.933945, 1.390769, 0.032295, -0.044810, 2.933496, 1.390674, 0.040904,
	-0.056673, 2.932487, 1.390538, 0.050555, -0.069906, 2.931571, 1.390342, 0.061259, -0.084468,
	2.929914, 1.390064, 0.073053, -0.100152, 2.927039, 1.389695, 0.085948, -0.117202, 2.924241,
	1.389201, 0.099968, -0.135531, 2.920760, 1.388548, 0.115135, -0.154906, 2.915998, 1.387692,
	0.131496, -0.175352, 2.910285, 1.386611, 0.149049, -0.196783, 2.903174, 1.385190, 0.167848,
	-0.219066, 2.894584, 1.383407, 0.187879, -0.241983, 2.883171, 1.381148, 0.209143, -0.265398,
	2.869102, 1.378261, 0.231689, -0.289254, 2.852238, 1.374690, 0.255223, -0.312776, 2.828264,
	1.370166, 0.279952, -0.336260, 2.800175, 1.364591, 0.305572, -0.358865, 2.764282, 1.357758,
	0.331650, -0.380223, 2.717845, 1.349413, 0.358491, -0.400252, 2.665326, 1.339084, 0.385445,
	-0.418422, 2.602293, 1.326773, 0.412947, -0.434993, 2.536973, 1.312141, 0.439681, -0.448757,
	2.459463, 1.295205, 0.467272, -0.461427, 2.386250, 1.275573, 0.493568, -0.471102, 2.303225,
	1.253400, 0.519743, -0.478930, 2.221945, 1.228890, 0.544882, -0.484098, 2.136425, 1.201730,
	0.570690, -0.488125, 2.057093, 1.172022, 0.595905, -0.489185, 1.975334, 1.139312, 0.622747,
	-0.487535, 1.895055, 1.103038, 0.648695, -0.483482, 1.815995, 1.064364, 0.675159, -0.478096,
	1.744272, 1.024098, 0.700714, -0.470492, 1.675257, 0.982186, 0.725641, -0.461398, 1.609135,
	0.939137, 0.748552, -0.449825, 1.545091, 0.894791, 0.772808, -0.438185, 1.489394, 0.850373,
	0.795928, -0.425073, 1.437026, 0.805287, 0.818900, -0.411028, 1.389654, 0.760003, 0.841633,
	-0.396047, 1.345873, 0.714914, 0.863213, -0.379637, 1.305185, 0.669271, 0.886662, -0.362227,
	1.269147, 0.622935, 0.908504, -0.343068, 1.234714, 0.577757, 0.931425, -0.323982, 1.204997,
	0.532922, 0.953835, -0.304347, 1.178871, 0.488154, 0.975813, -0.284219, 1.155019, 0.444885,
	0.997662, -0.263544, 1.133941, 0.402224, 1.021167, -0.242611, 1.116100, 0.360530, 1.044038,
	-0.220065, 1.098348, 0.318968, 1.068837, -0.197580, 1.084605, 0.279107, 1.092548, -0.174779,
	1.071217, 0.241111, 1.116157, -0.151596, 1.060486, 0.204913, 1.137486, -0.127478, 1.052751,
	0.171410, 1.154694, -0.101915, 1.044807, 0.137999, 1.166867, -0.076246, 1.034824, 0.103807,
	1.173715, -0.050661, 1.022501, 0.068802, 1.178236, -0.025355, 1.010324, 0.034155, 1.183545,
	0.000205, 1.000059, -0.000110, 0.000201, -0.000294, 3.161080, 1.466721, 0.000505, -0.000740,
	3.155526, 1.466737, 0.002016, -0.002957, 3.152852, 1.466688, 0.004537, -0.006655, 3.150654,
	1.466667, 0.008066, -0.011828, 3.153109, 1.466694, 0.012604, -0.018479, 3.152143, 1.466721,
	0.018150, -0.026598, 3.151025, 1.466636, 0.024714, -0.036191, 3.150300, 1.466562, 0.032301,
	-0.047249, 3.149861, 1.466450, 0.040924, -0.059766, 3.149548, 1.466289, 0.050579, -0.073703,
	3.147516, 1.466055, 0.061306, -0.089022, 3.145680, 1.465738, 0.073135, -0.105563, 3.142428,
	1.465301, 0.086075, -0.123544, 3.139113, 1.464715, 0.100153, -0.142853, 3.135064, 1.463956,
	0.115411, -0.163183, 3.129509, 1.462962, 0.131876, -0.184760, 3.122959, 1.461670, 0.149570,
	-0.207172, 3.114153, 1.460045, 0.168523, -0.230578, 3.103626, 1.457945, 0.188784, -0.254658,
	3.090818, 1.455279, 0.210264, -0.279114, 3.073352, 1.451998, 0.233030, -0.303930, 3.052592,
	1.447780, 0.256959, -0.328517, 3.025187, 1.442568, 0.281901, -0.352755, 2.990341, 1.436026,
	0.307728, -0.375894, 2.946820, 1.427979, 0.334197, -0.397924, 2.892845, 1.418249, 0.360966,
	-0.417914, 2.827937, 1.406370, 0.388478, -0.436526, 2.758006, 1.392134, 0.415567, -0.452366,
	2.674696, 1.375244, 0.443518, -0.466917, 2.595136, 1.355660, 0.470631, -0.478417, 2.504173,
	1.333123, 0.497419, -0.487825, 2.413227, 1.308181, 0.523961, -0.495064, 2.321239, 1.280227,
	0.549708, -0.499844, 2.228911, 1.249894, 0.575296, -0.502844, 2.138834, 1.217130, 0.600168,
	-0.503368, 2.049030, 1.181412, 0.625874, -0.501622, 1.962267, 1.142648, 0.652164, -0.496936,
	1.876900, 1.101268, 0.678029, -0.490319, 1.796344, 1.057782, 0.703248, -0.481575, 1.718925,
	1.012884, 0.728520, -0.471822, 1.648358, 0.966487, 0.752577, -0.460134, 1.581989, 0.919880,
	0.776163, -0.447164, 1.520109, 0.873087, 0.800016, -0.433601, 1.465081, 0.825803, 0.822176,
	-0.418388, 1.412564, 0.778249, 0.844873, -0.402704, 1.366184, 0.730849, 0.865955, -0.385633,
	1.321865, 0.684037, 0.888173, -0.368255, 1.283464, 0.637192, 0.910994, -0.349332, 1.249215,
	0.590131, 0.934270, -0.329612, 1.218366, 0.543213, 0.956653, -0.309228, 1.189808, 0.497752,
	0.978476, -0.288310, 1.163674, 0.452837, 1.000755, -0.267243, 1.141389, 0.409481, 1.023827,
	-0.246015, 1.122012, 0.367354, 1.045572, -0.223777, 1.103303, 0.325171, 1.070445, -0.200837,
	1.088010, 0.284442, 1.094268, -0.177211, 1.073650, 0.245138, 1.118639, -0.153531, 1.063051,
	0.208289, 1.139786, -0.129074, 1.053921, 0.173607, 1.157848, -0.104051, 1.045968, 0.140467,
	1.170697, -0.077694, 1.035782, 0.105594, 1.177874, -0.051393, 1.023483, 0.069898, 1.182242,
	-0.025392, 1.010620, 0.034532, 1.187612, -0.000032, 1.000062, -0.000035, 0.000202, -0.000313,
	3.450327, 1.548291, 0.000504, -0.000780, 3.396162, 1.548289, 0.002015, -0.003120, 3.395621,
	1.548260, 0.004533, -0.007019, 3.394299, 1.548217, 0.008066, -0.012486, 3.398803, 1.548274,
	0.012600, -0.019500, 3.396363, 1.548245, 0.018151, -0.028076, 3.396805, 1.548192, 0.024722,
	-0.038209, 3.396384, 1.548109, 0.032306, -0.049868, 3.395158, 1.547979, 0.040936, -0.063077,
	3.394303, 1.547785, 0.050610, -0.077791, 3.392979, 1.547513, 0.061360, -0.093869, 3.389910,
	1.547134, 0.073227, -0.111380, 3.386669, 1.546619, 0.086217, -0.130371, 3.382974, 1.545938,
	0.100364, -0.150684, 3.378046, 1.545039, 0.115733, -0.172116, 3.371719, 1.543880, 0.132309,
	-0.194809, 3.363764, 1.542380, 0.150174, -0.218431, 3.353699, 1.540462, 0.169340, -0.242954,
	3.341397, 1.538002, 0.189788, -0.268175, 3.324957, 1.534894, 0.211581, -0.293776, 3.304776,
	1.530954, 0.234561, -0.319619, 3.278192, 1.526033, 0.258776, -0.345089, 3.244910, 1.519926,
	0.284059, -0.370176, 3.203338, 1.512296, 0.310312, -0.394171, 3.152477, 1.502956, 0.336748,
	-0.416137, 3.083616, 1.491463, 0.364029, -0.436752, 3.010481, 1.477493, 0.391575, -0.455102,
	2.925454, 1.460933, 0.419409, -0.471378, 2.834380, 1.441554, 0.446811, -0.484714, 2.733329,
	1.418861, 0.474489, -0.496021, 2.633630, 1.393405, 0.501751, -0.504991, 2.530935, 1.364633,
	0.528488, -0.511392, 2.426653, 1.333234, 0.554428, -0.515395, 2.323633, 1.299138, 0.580434,
	-0.517761, 2.224964, 1.262462, 0.605474, -0.517598, 2.127228, 1.223784, 0.629888, -0.514946,
	2.030545, 1.182321, 0.655579, -0.510177, 1.939070, 1.138515, 0.681940, -0.503097, 1.852355,
	1.091502, 0.707228, -0.493537, 1.768084, 1.043464, 0.731894, -0.482372, 1.690840, 0.994242,
	0.756741, -0.470312, 1.619277, 0.944749, 0.780160, -0.456412, 1.553430, 0.894816, 0.803384,
	-0.441492, 1.493357, 0.845202, 0.826347, -0.425944, 1.437830, 0.795954, 0.849145, -0.409532,
	1.388578, 0.746915, 0.870617, -0.391988, 1.341527, 0.698025, 0.892943, -0.374229, 1.302188,
	0.649579, 0.913828, -0.355148, 1.262877, 0.601833, 0.936830, -0.335238, 1.230136, 0.554521,
	0.958687, -0.313939, 1.199596, 0.507208, 0.982008, -0.292741, 1.173619, 0.461357, 1.003691,
	-0.270940, 1.149015, 0.416031, 1.027223, -0.249102, 1.128689, 0.372457, 1.050048, -0.226899,
	1.109444, 0.330281, 1.074105, -0.204329, 1.092943, 0.288987, 1.098971, -0.180560, 1.078591,
	0.249075, 1.123324, -0.155987, 1.066885, 0.211519, 1.145445, -0.130929, 1.057617, 0.176506,
	1.162856, -0.105269, 1.048453, 0.142345, 1.175360, -0.079267, 1.037439, 0.107452, 1.182514,
	-0.052547, 1.024393, 0.071252, 1.186575, -0.025744, 1.011093, 0.035019, 1.192050, 0.000318,
	1.000013, -0.000152, 0.000204, -0.000334, 3.909175, 1.636412, 0.000504, -0.000825, 3.678647,
	1.636410, 0.002015, -0.003298, 3.678315, 1.636387, 0.004533, -0.007417, 3.674126, 1.636310,
	0.008062, -0.013190, 3.676771, 1.636376, 0.012603, -0.020613, 3.678135, 1.636369, 0.018153,
	-0.029675, 3.677315, 1.636299, 0.024723, -0.040378, 3.676872, 1.636196, 0.032318, -0.052708,
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	1.635494, 0.061429, -0.099150, 3.669047, 1.635048, 0.073333, -0.117679, 3.665401, 1.634437,
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	1.731325, 0.050685, -0.086984, 3.993839, 1.730945, 0.061506, -0.104897, 3.989519, 1.730417,
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	1.835768, 0.040999, -0.074779, 4.367861, 1.835454, 0.050739, -0.092178, 4.364322, 1.834974,
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	1.823230, 0.172514, -0.286176, 4.273985, 1.819124, 0.193853, -0.315295, 4.244136, 1.813909,
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	1.352431, 0.648789, -0.554148, 2.259149, 1.298758, 0.672715, -0.546779, 2.140250, 1.244943,
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	-0.514142, 1.830175, 1.076504, 0.768895, -0.499352, 1.740731, 1.018032, 0.792551, -0.482982,
	1.658911, 0.960250, 0.817007, -0.466406, 1.586579, 0.903029, 0.839035, -0.447616, 1.516969,
	0.846484, 0.862742, -0.429261, 1.458675, 0.791420, 0.884307, -0.409479, 1.402989, 0.737125,
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	0.390755, 1.059915, -0.235239, 1.125388, 0.345399, 1.084348, -0.211044, 1.105859, 0.301356,
	1.109544, -0.186698, 1.088888, 0.259708, 1.133770, -0.161900, 1.073848, 0.220324, 1.157553,
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	1.041484, 0.112124, 1.197215, -0.054554, 1.026844, 0.074160, 1.201654, -0.026744, 1.012264,
	0.036527, 1.207085, 0.000399, 1.000034, -0.000201, 0.000191, -0.000373, 4.194318, 1.950551,
	0.000504, -0.000983, 4.804350, 1.950552, 0.002015, -0.003931, 4.802820, 1.950518, 0.004536,
	-0.008847, 4.805254, 1.950472, 0.008064, -0.015725, 4.804152, 1.950517, 0.012693, -0.024740,
	4.826828, 1.949914, 0.018159, -0.035365, 4.803103, 1.950349, 0.024740, -0.048122, 4.803220,
	1.950183, 0.032361, -0.062822, 4.801522, 1.949917, 0.041034, -0.079430, 4.799593, 1.949538,
	0.050815, -0.097841, 4.797179, 1.948972, 0.061702, -0.118026, 4.789557, 1.948246, 0.073766,
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	4.764612, 1.944052, 0.117558, -0.215884, 4.751486, 1.941710, 0.134884, -0.243968, 4.734791,
	1.938727, 0.153637, -0.273170, 4.712078, 1.934891, 0.173890, -0.303146, 4.683575, 1.929976,
	0.195643, -0.333704, 4.646766, 1.923740, 0.218767, -0.364170, 4.596814, 1.915888, 0.243337,
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	4.345682, 1.878286, 0.322784, -0.476488, 4.231632, 1.859391, 0.350616, -0.499420, 4.093553,
	1.836912, 0.379127, -0.519862, 3.944127, 1.809625, 0.407860, -0.537373, 3.782223, 1.778529,
	0.436717, -0.551802, 3.615563, 1.742684, 0.465345, -0.562951, 3.440672, 1.702289, 0.494158,
	-0.571334, 3.268070, 1.658666, 0.522896, -0.577227, 3.100668, 1.611027, 0.551379, -0.580514,
	2.937615, 1.559742, 0.578992, -0.580610, 2.778703, 1.507257, 0.605095, -0.577729, 2.621626,
	1.451941, 0.630653, -0.573000, 2.476506, 1.395218, 0.656175, -0.566944, 2.341592, 1.337862,
	0.681036, -0.558988, 2.216478, 1.279275, 0.704713, -0.549211, 2.096972, 1.220526, 0.726894,
	-0.537190, 1.983311, 1.161709, 0.749865, -0.524167, 1.881100, 1.102095, 0.773553, -0.508991,
	1.785637, 1.042039, 0.797102, -0.491658, 1.697234, 0.981588, 0.821187, -0.474093, 1.620250,
	0.921265, 0.843848, -0.454980, 1.547071, 0.862757, 0.866662, -0.435421, 1.482008, 0.804700,
	0.888696, -0.414990, 1.424116, 0.749432, 0.910945, -0.394472, 1.372658, 0.694767, 0.932300,
	-0.373239, 1.325157, 0.641106, 0.952850, -0.351347, 1.282217, 0.589689, 0.974718, -0.329809,
	1.244897, 0.539322, 0.996445, -0.307902, 1.212306, 0.490083, 1.017580, -0.285392, 1.181402,
	0.442702, 1.040342, -0.262782, 1.155996, 0.395911, 1.064399, -0.238995, 1.131708, 0.350206,
	1.089464, -0.214297, 1.111215, 0.305175, 1.115565, -0.189293, 1.093094, 0.262686, 1.140640,
	-0.163843, 1.077994, 0.223078, 1.163824, -0.137789, 1.066014, 0.185651, 1.182577, -0.111087,
	1.055615, 0.150045, 1.195775, -0.083945, 1.042940, 0.113457, 1.203175, -0.056145, 1.028015,
	0.075453, 1.207282, -0.027685, 1.012552, 0.037217, 1.213019, 0.000362, 0.999938, -0.000293,
	0.000187, -0.000388, 4.316009, 2.076500, 0.000504, -0.001048, 5.317799, 2.076499, 0.002014,
	-0.004182, 5.306557, 2.076523, 0.004539, -0.009425, 5.317505, 2.076453, 0.008063, -0.016737,
	5.312143, 2.076410, 0.012614, -0.026171, 5.316434, 2.076389, 0.018158, -0.037641, 5.307836,
	2.076265, 0.024767, -0.051266, 5.315297, 2.076044, 0.032372, -0.066859, 5.307433, 2.075743,
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	-0.125613, 5.293419, 2.073708, 0.073970, -0.149085, 5.286629, 2.072457, 0.087375, -0.174214,
	5.275937, 2.070804, 0.102105, -0.201136, 5.263267, 2.068647, 0.118223, -0.229505, 5.246309,
	2.065846, 0.135814, -0.259217, 5.225496, 2.062189, 0.154887, -0.289990, 5.196580, 2.057566,
	0.175510, -0.321618, 5.160716, 2.051593, 0.197636, -0.353632, 5.112202, 2.043949, 0.221168,
	-0.385303, 5.046981, 2.034445, 0.246099, -0.416511, 4.965386, 2.022368, 0.272070, -0.446377,
	4.860735, 2.007160, 0.299090, -0.474279, 4.735140, 1.988598, 0.326702, -0.499809, 4.584962,
	1.965865, 0.355017, -0.522790, 4.420447, 1.938705, 0.383856, -0.542755, 4.241942, 1.906370,
	0.413059, -0.559903, 4.053302, 1.869455, 0.441882, -0.573174, 3.852753, 1.827946, 0.471516,
	-0.584151, 3.660377, 1.781652, 0.500872, -0.591843, 3.466027, 1.730885, 0.529677, -0.596253,
	3.272812, 1.676821, 0.557683, -0.597604, 3.084286, 1.620064, 0.585652, -0.596591, 2.906111,
	1.560909, 0.612819, -0.593138, 2.738258, 1.500318, 0.639848, -0.588245, 2.584172, 1.438127,
	0.664758, -0.580140, 2.430697, 1.375746, 0.688754, -0.570189, 2.290701, 1.312727, 0.712848,
	-0.559420, 2.162679, 1.250063, 0.735111, -0.546570, 2.042186, 1.187840, 0.757521, -0.532944,
	1.933435, 1.125513, 0.780056, -0.517981, 1.833524, 1.063827, 0.802513, -0.500724, 1.739053,
	1.002154, 0.825462, -0.481625, 1.652381, 0.939811, 0.848973, -0.462327, 1.577560, 0.878279,
	0.871521, -0.441928, 1.509291, 0.819200, 0.892325, -0.420297, 1.443799, 0.761607, 0.914935,
	-0.399072, 1.389647, 0.705351, 0.936429, -0.377232, 1.339903, 0.650213, 0.957614, -0.355091,
	1.295467, 0.597773, 0.979578, -0.332767, 1.256692, 0.545914, 1.000860, -0.310147, 1.221666,
	0.495661, 1.022550, -0.287395, 1.190775, 0.448026, 1.045005, -0.264582, 1.162641, 0.400490,
	1.068703, -0.241464, 1.138358, 0.354088, 1.093098, -0.217504, 1.115973, 0.309812, 1.119230,
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	0.114337, 1.208895, -0.056089, 1.028366, 0.076083, 1.213344, -0.028369, 1.013074, 0.037735,
	1.219220, -0.000534, 0.999968, 0.000076, 0.000182, -0.000404, 4.433519, 2.216201, 0.000504,
	-0.001117, 5.911693, 2.216198, 0.002017, -0.004469, 5.919142, 2.216190, 0.004536, -0.010051,
	5.913172, 2.216130, 0.008065, -0.017867, 5.911791, 2.216145, 0.012467, -0.027603, 5.785357,
	2.216447, 0.018156, -0.040159, 5.901121, 2.215958, 0.024758, -0.054670, 5.908781, 2.215654,
	0.032395, -0.071352, 5.906098, 2.215283, 0.041108, -0.090201, 5.902558, 2.214715, 0.050955,
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	5.880633, 2.211303, 0.087742, -0.185801, 5.867001, 2.209297, 0.102652, -0.214368, 5.851446,
	2.206657, 0.119006, -0.244573, 5.830722, 2.203232, 0.136883, -0.276067, 5.802688, 2.198778,
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	6.313742, 2.488091, 0.450302, -0.684966, 5.884479, 2.402458, 0.481149, -0.691591, 5.455771,
	2.311816, 0.512177, -0.695337, 5.055698, 2.217330, 0.543437, -0.696370, 4.681506, 2.121285,
	0.574309, -0.694186, 4.334716, 2.024160, 0.604787, -0.689158, 4.008524, 1.927738, 0.633483,
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	1.463345, 0.764114, -0.608299, 2.537561, 1.378151, 0.787028, -0.589519, 2.364323, 1.297630,
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	0.809260, 0.942958, -0.420777, 1.491264, 0.750037, 0.961999, -0.398842, 1.428069, 0.691715,
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	0.322864, 1.150871, -0.198592, 1.114313, 0.277723, 1.177319, -0.171805, 1.093534, 0.234950,
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	1.014695, 0.039376, 1.259060, -0.000418, 0.999881, 0.000307, 0.000159, -0.000515, 5.393984,
	3.241865, 0.000505, -0.001636, 11.548038, 3.241848, 0.002016, -0.006534, 11.506640, 3.241718,
	0.004537, -0.014706, 11.513460, 3.241196, 0.008068, -0.026134, 11.510533, 3.241693, 0.012573,
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	-0.811703, 5.850784, 2.031716, 0.893083, -0.789181, 5.273372, 1.884480, 0.909212, -0.757541,
	4.700618, 1.750298, 0.923169, -0.725157, 4.196640, 1.627590, 0.937112, -0.693769, 3.764841,
	1.514906, 0.961901, -0.670828, 3.444598, 1.406839, 0.975245, -0.640240, 3.120745, 1.307873,
	0.989696, -0.611032, 2.840732, 1.216417, 1.002057, -0.581144, 2.591596, 1.132553, 1.014022,
	-0.551620, 2.373820, 1.051695, 1.025307, -0.522268, 2.177992, 0.977500, 1.052190, -0.500826,
	2.042511, 0.904301, 1.064408, -0.472355, 1.891934, 0.837557, 1.077876, -0.444815, 1.761054,
	0.773004, 1.088939, -0.416531, 1.638939, 0.713958, 1.118551, -0.395057, 1.555724, 0.652485,
	1.134469, -0.368289, 1.465490, 0.596330, 1.162778, -0.345095, 1.390977, 0.539703, 1.185298,
	-0.319527, 1.321225, 0.486250, 1.208419, -0.293590, 1.259318, 0.434178, 1.261013, -0.273471,
	1.219767, 0.382032, 1.297811, -0.248226, 1.176422, 0.334190, 1.326591, -0.220354, 1.139881,
	0.289075, 1.357918, -0.191937, 1.111418, 0.246259, 1.387590, -0.162282, 1.086511, 0.205129,
	1.415797, -0.131515, 1.067072, 0.165601, 1.440194, -0.099555, 1.047799, 0.125462, 1.465600,
	-0.066957, 1.030406, 0.084082, 1.487714, -0.033496, 1.013889, 0.041981, 1.509947, 0.000663,
	0.998773, -0.000485, 0.000100, -0.004009, 40.102047, 40.087105, 0.000228, -0.009141, 91.431366,
	40.074432, 0.001522, -0.060544, 605.651733, 39.918827, 0.004919, -0.188871, 1712.982300,
	38.873421, 0.009053, -0.320325, 1583.453125, 39.715633, 0.015375, -0.471415, 1486.033691,
	39.162876, 0.029306, -0.735111, 1751.701050, 28.083200, 0.043450, -0.859759, 1392.475220,
	24.599945, 0.079075, -1.220033, 1629.972656, 18.507019, 0.090130, -1.091255, 940.347351,
	17.961655, 0.098008, -0.945965, 425.901093, 24.478010, 0.138246, -1.084105, 416.823944,
	20.003433, 0.174489, -1.133148, 302.730042, 18.550846, 0.207969, -1.138483, 242.853577,
	15.923334, 0.249132, -1.168197, 191.649445, 13.940813, 0.291391, -1.187038, 152.910309,
	12.263267, 0.332856, -1.192793, 121.905075, 10.822873, 0.377473, -1.202846, 99.145561,
	9.618412, 0.422601, -1.208871, 81.343315, 8.591735, 0.465276, -1.204545, 66.742569, 7.692911,
	0.504710, -1.190839, 54.787876, 6.915612, 0.544909, -1.178827, 45.507313, 6.242786, 0.582125,
	-1.160590, 37.819912, 5.651690, 0.620694, -1.145481, 31.926588, 5.123660, 0.659127, -1.130178,
	27.147310, 4.669475, 0.684358, -1.093728, 22.650702, 4.258717, 0.719453, -1.074591, 19.454103,
	3.901225, 0.751695, -1.051678, 16.735672, 3.576870, 0.775082, -1.017716, 14.281039, 3.287471,
	0.796233, -0.982759, 12.261332, 3.023708, 0.827404, -0.961227, 10.767912, 2.787740, 0.848149,
	-0.928433, 9.371350, 2.570737, 0.864891, -0.892838, 8.142364, 2.379204, 0.880979, -0.858193,
	7.118954, 2.204470, 0.910434, -0.837281, 6.389041, 2.041554, 0.925396, -0.803638, 5.643217,
	1.893353, 0.942463, -0.772925, 5.031223, 1.757331, 0.955217, -0.739720, 4.486978, 1.633572,
	0.968570, -0.708048, 4.014621, 1.520414, 0.981672, -0.677109, 3.617768, 1.412506, 0.992829,
	-0.645712, 3.258773, 1.317079, 1.021270, -0.625746, 3.006640, 1.222611, 1.031247, -0.594628,
	2.733073, 1.137911, 1.043581, -0.565540, 2.498495, 1.058439, 1.055930, -0.536962, 2.289843,
	0.984428, 1.066727, -0.508076, 2.108603, 0.912794, 1.081225, -0.481297, 1.951454, 0.845536,
	1.088198, -0.451563, 1.801891, 0.782718, 1.123316, -0.433247, 1.704316, 0.721664, 1.133206,
	-0.404812, 1.586153, 0.662761, 1.152889, -0.379901, 1.490958, 0.606866, 1.188158, -0.359421,
	1.415730, 0.550666, 1.217064, -0.336049, 1.344172, 0.496748, 1.257727, -0.314816, 1.283196,
	0.443538, 1.286647, -0.289530, 1.225903, 0.394018, 1.308729, -0.262053, 1.173928, 0.346255,
	1.351453, -0.237704, 1.139992, 0.300393, 1.380284, -0.209733, 1.105997, 0.256661, 1.414621,
	-0.181613, 1.082109, 0.215429, 1.453045, -0.152797, 1.063853, 0.177098, 1.481066, -0.121803,
	1.043185, 0.137203, 1.514113, -0.090250, 1.027072, 0.096998, 1.547317, -0.057603, 1.012551,
	0.055328, 1.577983, -0.023799, 0.999267, 0.013094, 0.000108, -0.124970, 1249.704346,
	1249.703491, 0.000140, -0.119585, 1195.855469, 1195.854370, 0.003995, -0.927433, 9274.246094,
	232.443573, 0.012013, -1.131580, 11315.999023, 98.211105, 0.023892, -1.216018, 12162.739258,
	67.214500, 0.047506, -1.517865, 15186.294922, 42.410069, 0.082523, -1.812564, 18145.718750,
	24.421545, 0.112452, -1.805072, 11112.966797, 18.450365, 0.164460, -2.016784, 8086.032715,
	14.043465, 0.195870, -1.898199, 4245.658203, 13.178202, 0.197797, -1.556158, 1315.561768,
	30.760096, 0.219540, -1.433455, 802.380371, 25.037956, 0.268696, -1.483235, 579.715515,
	20.975695, 0.265968, -1.261051, 386.583649, 12.017023, 0.325369, -1.343349, 316.795959,
	12.612406, 0.387968, -1.411606, 232.491623, 13.296940, 0.435543, -1.411236, 181.515228,
	11.646996, 0.482729, -1.405722, 143.425354, 10.265131, 0.531742, -1.402782, 114.920082,
	9.114828, 0.559383, -1.346165, 88.589005, 8.089214, 0.607851, -1.342407, 73.056610, 7.249064,
	0.656928, -1.338238, 60.826897, 6.531094, 0.681212, -1.285692, 48.727219, 5.868711, 0.729238,
	-1.279951, 41.256016, 5.324553, 0.751172, -1.230045, 33.728260, 4.816513, 0.773107, -1.184288,
	27.913816, 4.377203, 0.815726, -1.171653, 24.065962, 3.999965, 0.837886, -1.130636, 20.254860,
	3.658493, 0.857674, -1.089071, 17.138168, 3.347930, 0.876120, -1.048303, 14.572968, 3.072666,
	0.893935, -1.009040, 12.496377, 2.825165, 0.927998, -0.989064, 11.040731, 2.605520, 0.928445,
	-0.935017, 9.365102, 2.401481, 0.945279, -0.899993, 8.177711, 2.222282, 0.959378, -0.863854,
	7.155303, 2.059342, 0.971761, -0.827684, 6.284632, 1.909314, 0.987812, -0.795878, 5.583837,
	1.771094, 1.001958, -0.763540, 4.962345, 1.645968, 1.014357, -0.730897, 4.435898, 1.527438,
	1.025946, -0.698675, 3.973241, 1.421337, 1.036435, -0.666662, 3.568025, 1.323677, 1.046807,
	-0.635466, 3.218647, 1.232678, 1.052974, -0.602660, 2.902273, 1.147675, 1.086089, -0.585364,
	2.694939, 1.068352, 1.094660, -0.554784, 2.454491, 0.993445, 1.117131, -0.531500, 2.270746,
	0.923758, 1.114009, -0.496581, 2.063934, 0.858381, 1.137328, -0.473914, 1.917990, 0.794980,
	1.158671, -0.450127, 1.786523, 0.735697, 1.177878, -0.425306, 1.662454, 0.677498, 1.207510,
	-0.403797, 1.559058, 0.621762, 1.244496, -0.383812, 1.466801, 0.566190, 1.240412, -0.351080,
	1.366853, 0.514288, 1.321257, -0.341200, 1.309808, 0.464621, 1.336512, -0.312710, 1.241822,
	0.413228, 1.365047, -0.286935, 1.186612, 0.366092, 1.418984, -0.265184, 1.152120, 0.321528,
	1.388864, -0.227750, 1.089937, 0.271827, 1.464383, -0.207168, 1.077271, 0.232838, 1.473125,
	-0.175770, 1.041835, 0.193289, 1.542908, -0.150424, 1.036794, 0.156153, 1.563005, -0.118748,
	1.013029, 0.114866, 1.637048, -0.089604, 1.013493, 0.076804, 1.670777, -0.056398, 0.999208,
	0.032691,
};
static float ltc_mag_ggx[64 * 64] = {
	1.000000, 1.000000, 1.000000, 1.000000, 1.000000, 1.000000, 1.000000, 1.000000, 1.000000,
	1.000000, 1.000000, 1.000000, 0.999995, 0.999990, 0.999971, 0.999937, 0.999853, 0.999670,
	0.999138, 0.996746, 0.979578, 0.979309, 0.978836, 0.977972, 0.976223, 0.972205, 0.962466,
	0.953919, 0.949829, 0.942492, 0.929870, 0.921319, 0.911112, 0.896015, 0.885105, 0.869971,
	0.855017, 0.838328, 0.821241, 0.802352, 0.783873, 0.763309, 0.743058, 0.721929, 0.699755,
	0.677721, 0.655456, 0.632681, 0.609629, 0.586831, 0.564287, 0.541772, 0.519428, 0.497353,
	0.475624, 0.454606, 0.434099, 0.414085, 0.394605, 0.375698, 0.357386, 0.339871, 0.323085,
	0.306905, 1.000000, 1.000000, 1.000000, 1.000000, 1.000000, 1.000000, 1.000000, 1.000000,
	0.999999, 0.999999, 0.999998, 0.999995, 0.999990, 0.999980, 0.999959, 0.999923, 0.999842,
	0.999660, 0.999119, 0.996613, 0.981824, 0.979298, 0.978826, 0.977957, 0.976184, 0.972091,
	0.962188, 0.953875, 0.949746, 0.942335, 0.930166, 0.921211, 0.910927, 0.896979, 0.884940,
	0.869864, 0.854835, 0.838200, 0.821049, 0.802552, 0.783659, 0.763512, 0.742927, 0.721715,
	0.699938, 0.677775, 0.655246, 0.632555, 0.609805, 0.586996, 0.564225, 0.541606, 0.519346,
	0.497419, 0.475863, 0.454738, 0.434099, 0.414003, 0.394547, 0.375747, 0.357564, 0.340012,
	0.323099, 0.306861, 1.000000, 1.000000, 1.000000, 1.000000, 1.000000, 1.000000, 1.000000,
	1.000000, 1.000000, 0.999999, 0.999998, 0.999995, 0.999991, 0.999979, 0.999959, 0.999917,
	0.999839, 0.999648, 0.999074, 0.996168, 0.983770, 0.979279, 0.978800, 0.977905, 0.976058,
	0.971727, 0.962120, 0.953901, 0.949485, 0.941859, 0.930911, 0.920853, 0.910394, 0.897600,
	0.884427, 0.870101, 0.854522, 0.838325, 0.820754, 0.802707, 0.783223, 0.763605, 0.742872,
	0.721565, 0.699935, 0.677726, 0.655242, 0.632580, 0.609766, 0.586946, 0.564275, 0.541759,
	0.519467, 0.497478, 0.475886, 0.454794, 0.434233, 0.414207, 0.394751, 0.375892, 0.357683,
	0.340146, 0.323287, 0.307095, 1.000000, 1.000000, 1.000000, 1.000000, 1.000000, 1.000000,
	1.000000, 0.999999, 0.999999, 0.999998, 0.999996, 0.999992, 0.999987, 0.999975, 0.999953,
	0.999913, 0.999830, 0.999630, 0.998993, 0.995279, 0.985142, 0.979252, 0.978754, 0.977821,
	0.975838, 0.971088, 0.962563, 0.954785, 0.949048, 0.941052, 0.931420, 0.920812, 0.909750,
	0.897867, 0.883856, 0.870091, 0.854353, 0.838166, 0.820661, 0.802465, 0.783308, 0.763346,
	0.742734, 0.721608, 0.699747, 0.677626, 0.655245, 0.632547, 0.609793, 0.587044, 0.564340,
	0.541779, 0.519529, 0.497633, 0.476114, 0.455030, 0.434430, 0.414406, 0.394974, 0.376154,
	0.357979, 0.340443, 0.323572, 0.307379, 1.000000, 1.000000, 1.000000, 1.000000, 1.000000,
	1.000000, 1.000000, 1.000000, 0.999998, 0.999998, 0.999996, 0.999991, 0.999984, 0.999970,
	0.999946, 0.999905, 0.999815, 0.999599, 0.998856, 0.993704, 0.986135, 0.979212, 0.978690,
	0.977691, 0.975504, 0.970133, 0.962951, 0.955649, 0.948405, 0.940418, 0.931660, 0.920881,
	0.909376, 0.897785, 0.883844, 0.869756, 0.854326, 0.837732, 0.820617, 0.802053, 0.783195,
	0.763119, 0.742610, 0.721344, 0.699709, 0.677624, 0.655114, 0.632523, 0.609812, 0.587052,
	0.564417, 0.541966, 0.519751, 0.497824, 0.476309, 0.455271, 0.434735, 0.414736, 0.395317,
	0.376524, 0.358364, 0.340852, 0.323988, 0.307786, 1.000000, 1.000000, 1.000000, 1.000000,
	1.000000, 1.000000, 0.999999, 0.999999, 0.999997, 0.999996, 0.999994, 0.999989, 0.999980,
	0.999965, 0.999940, 0.999895, 0.999796, 0.999559, 0.998638, 0.992774, 0.986878, 0.980297,
	0.978602, 0.977514, 0.975026, 0.969169, 0.963214, 0.956267, 0.947689, 0.940054, 0.931637,
	0.920678, 0.908990, 0.897349, 0.883905, 0.869139, 0.854177, 0.837476, 0.820295, 0.801977,
	0.782798, 0.762978, 0.742418, 0.721193, 0.699560, 0.677402, 0.655108, 0.632543, 0.609804,
	0.587158, 0.564557, 0.542096, 0.519908, 0.498088, 0.476632, 0.455623, 0.435104, 0.415161,
	0.395783, 0.377005, 0.358843, 0.341345, 0.324529, 0.308355, 1.000000, 1.000000, 1.000000,
	1.000000, 1.000000, 0.999999, 0.999999, 0.999998, 0.999997, 0.999992, 0.999991, 0.999985,
	0.999977, 0.999959, 0.999935, 0.999878, 0.999773, 0.999505, 0.998284, 0.992353, 0.987457,
	0.981665, 0.978492, 0.977277, 0.974360, 0.968716, 0.963373, 0.956629, 0.947397, 0.939657,
	0.931339, 0.920588, 0.908975, 0.896712, 0.883763, 0.868890, 0.853731, 0.837333, 0.819702,
	0.801738, 0.782454, 0.762712, 0.742024, 0.721037, 0.699325, 0.677359, 0.655030, 0.632439,
	0.609869, 0.587221, 0.564663, 0.542328, 0.520220, 0.498400, 0.476997, 0.456053, 0.435593,
	0.415658, 0.396300, 0.377577, 0.359473, 0.342004, 0.325170, 0.308997, 1.000000, 1.000000,
	1.000000, 1.000000, 1.000000, 0.999999, 0.999998, 0.999998, 0.999996, 0.999993, 0.999988,
	0.999981, 0.999971, 0.999951, 0.999921, 0.999863, 0.999748, 0.999433, 0.997681, 0.992120,
	0.987920, 0.982864, 0.978353, 0.976961, 0.973451, 0.968396, 0.963400, 0.956680, 0.947529,
	0.939151, 0.930747, 0.920511, 0.908867, 0.896142, 0.883335, 0.868764, 0.853025, 0.837015,
	0.819452, 0.801249, 0.782176, 0.762345, 0.741843, 0.720721, 0.699135, 0.677194, 0.654889,
	0.632487, 0.609902, 0.587328, 0.564891, 0.542567, 0.520501, 0.498793, 0.477442, 0.456528,
	0.436131, 0.416273, 0.396980, 0.378276, 0.360176, 0.342738, 0.325950, 0.309803, 1.000000,
	1.000000, 1.000000, 1.000000, 0.999999, 0.999998, 0.999999, 0.999997, 0.999995, 0.999991,
	0.999985, 0.999978, 0.999963, 0.999942, 0.999907, 0.999844, 0.999715, 0.999332, 0.996612,
	0.991974, 0.988297, 0.983843, 0.978349, 0.976540, 0.972351, 0.968109, 0.963280, 0.956464,
	0.947779, 0.938754, 0.929952, 0.920253, 0.908530, 0.895785, 0.882679, 0.868456, 0.852669,
	0.836406, 0.819138, 0.800708, 0.781803, 0.761855, 0.741534, 0.720405, 0.698959, 0.676964,
	0.654827, 0.632411, 0.609922, 0.587477, 0.565051, 0.542829, 0.520889, 0.499225, 0.477951,
	0.457148, 0.436792, 0.416963, 0.397723, 0.379068, 0.361025, 0.343608, 0.326842, 0.310718,
	1.000000, 1.000000, 1.000000, 1.000000, 1.000000, 0.999999, 0.999998, 0.999995, 0.999994,
	0.999990, 0.999983, 0.999971, 0.999954, 0.999932, 0.999892, 0.999820, 0.999675, 0.999190,
	0.995492, 0.991911, 0.988610, 0.984662, 0.979221, 0.975975, 0.971671, 0.967788, 0.963002,
	0.955938, 0.947965, 0.938692, 0.929309, 0.919781, 0.908268, 0.895518, 0.882022, 0.867884,
	0.852346, 0.835746, 0.818607, 0.800261, 0.781335, 0.761539, 0.741063, 0.720116, 0.698617,
	0.676815, 0.654700, 0.632389, 0.610037, 0.587591, 0.565328, 0.543205, 0.521293, 0.499745,
	0.478562, 0.457776, 0.437515, 0.417776, 0.398586, 0.379963, 0.361984, 0.344616, 0.327857,
	0.311751, 1.000000, 1.000000, 1.000000, 1.000000, 1.000000, 0.999999, 0.999997, 0.999996,
	0.999992, 0.999986, 0.999977, 0.999965, 0.999947, 0.999916, 0.999873, 0.999794, 0.999628,
	0.998966, 0.994914, 0.991849, 0.988873, 0.985288, 0.980170, 0.975207, 0.971156, 0.967476,
	0.962538, 0.955601, 0.947978, 0.938542, 0.928618, 0.919056, 0.907890, 0.895098, 0.881352,
	0.867263, 0.851806, 0.835168, 0.818003, 0.799785, 0.780633, 0.761080, 0.740618, 0.719795,
	0.698332, 0.676629, 0.654544, 0.632411, 0.610042, 0.587805, 0.565593, 0.543549, 0.521793,
	0.500309, 0.479195, 0.458546, 0.438353, 0.418669, 0.399557, 0.381012, 0.363049, 0.345710,
	0.329006, 0.312948, 1.000000, 1.000000, 1.000000, 1.000000, 1.000000, 0.999999, 0.999997,
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	1.000000, 1.000000, 0.999990, 0.999953, 0.999843, 0.999613, 0.999186, 0.997025, 0.995317,
	0.992850, 0.989760, 0.985270, 0.979807, 0.973049, 0.965228, 0.956248, 0.946394, 0.936324,
	0.926124, 0.915808, 0.905942, 0.897060, 0.889001, 0.881755, 0.875351, 0.869688, 0.864736,
	0.860745, 0.857305, 0.854190, 0.851261, 0.848484, 0.845642, 0.842948, 0.840060, 0.836901,
	0.833379, 0.829393, 0.825103, 0.820431, 0.815288, 0.809575, 0.803326, 0.796949, 0.790174,
	0.782873, 0.775048, 0.767139, 0.758772, 0.750019, 0.741120, 0.732127, 0.722743, 0.713225,
	0.703637, 0.693768, 0.684016, 0.674277, 0.664703, 0.655328, 0.646550, 0.637812, 0.629036,
	0.620129, 1.000000, 1.000000, 0.999988, 0.999933, 0.999800, 0.999508, 0.998917, 0.996236,
	0.994617, 0.991176, 0.987089, 0.981880, 0.974966, 0.967156, 0.957914, 0.947585, 0.936937,
	0.926318, 0.915662, 0.905567, 0.896223, 0.888166, 0.881117, 0.875079, 0.869981, 0.865675,
	0.862091, 0.859183, 0.856981, 0.855065, 0.853273, 0.851572, 0.849782, 0.847768, 0.845668,
	0.843345, 0.840703, 0.837646, 0.834094, 0.830030, 0.825631, 0.820873, 0.815619, 0.809856,
	0.803578, 0.797096, 0.790359, 0.783152, 0.775507, 0.767504, 0.759411, 0.750982, 0.742208,
	0.733383, 0.724445, 0.715190, 0.705827, 0.696440, 0.686773, 0.677242, 0.667735, 0.658471,
	0.649236, 0.640305, 1.000000, 0.999999, 0.999984, 0.999918, 0.999737, 0.999350, 0.997576,
	0.995476, 0.992614, 0.988817, 0.983601, 0.976880, 0.968694, 0.959092, 0.948297, 0.936831,
	0.925592, 0.914494, 0.904159, 0.894643, 0.886417, 0.879620, 0.874023, 0.869533, 0.865967,
	0.863238, 0.861113, 0.859527, 0.858367, 0.857594, 0.856882, 0.856172, 0.855316, 0.854197,
	0.852818, 0.851062, 0.849046, 0.846747, 0.844043, 0.840842, 0.837164, 0.832985, 0.828344,
	0.823544, 0.818276, 0.812543, 0.806374, 0.799838, 0.793170, 0.786246, 0.778956, 0.771297,
	0.763278, 0.755252, 0.746984, 0.738445, 0.729688, 0.721045, 0.712189, 0.703099, 0.694045,
	0.684930, 0.675601, 0.666480, 1.000000, 0.999999, 0.999978, 0.999888, 0.999639, 0.999093,
	0.996310, 0.994405, 0.990527, 0.985186, 0.978518, 0.969748, 0.959597, 0.948104, 0.935724,
	0.923704, 0.912023, 0.901356, 0.891850, 0.883847, 0.877280, 0.872289, 0.868583, 0.865913,
	0.864098, 0.862993, 0.862356, 0.862125, 0.862107, 0.862168, 0.862359, 0.862490, 0.862430,
	0.862063, 0.861431, 0.860386, 0.858950, 0.857090, 0.854848, 0.852381, 0.849503, 0.846167,
	0.842399, 0.838194, 0.833566, 0.828579, 0.823464, 0.817951, 0.812079, 0.805873, 0.799320,
	0.792533, 0.785715, 0.778636, 0.771260, 0.763618, 0.755719, 0.747815, 0.739825, 0.731602,
	0.723212, 0.714845, 0.706465, 0.697933, 1.000000, 0.999998, 0.999969, 0.999836, 0.999475,
	0.997943, 0.995219, 0.991760, 0.986663, 0.979592, 0.970218, 0.959155, 0.946575, 0.933047,
	0.920022, 0.907749, 0.896801, 0.887506, 0.880077, 0.874322, 0.870126, 0.867481, 0.865949,
	0.865293, 0.865287, 0.865746, 0.866502, 0.867439, 0.868442, 0.869382, 0.870161, 0.870782,
	0.871303, 0.871511, 0.871427, 0.870978, 0.870136, 0.868892, 0.867248, 0.865209, 0.862775,
	0.859944, 0.857004, 0.853671, 0.849984, 0.845927, 0.841518, 0.836774, 0.831750, 0.826407,
	0.821001, 0.815333, 0.809412, 0.803238, 0.796802, 0.790204, 0.783457, 0.776713, 0.769749,
	0.762596, 0.755239, 0.747690, 0.740127, 0.732595, 1.000000, 0.999997, 0.999950, 0.999744,
	0.999162, 0.996124, 0.992844, 0.987757, 0.980062, 0.969642, 0.957087, 0.942735, 0.927747,
	0.913622, 0.900889, 0.890115, 0.881584, 0.875288, 0.870926, 0.868307, 0.867033, 0.866972,
	0.867692, 0.868950, 0.870549, 0.872320, 0.874144, 0.875947, 0.877674, 0.879192, 0.880478,
	0.881539, 0.882307, 0.882739, 0.882902, 0.882847, 0.882461, 0.881725, 0.880636, 0.879197,
	0.877422, 0.875296, 0.872849, 0.870076, 0.866988, 0.863637, 0.860159, 0.856475, 0.852525,
	0.848328, 0.843883, 0.839198, 0.834322, 0.829221, 0.823907, 0.818461, 0.812972, 0.807316,
	0.801474, 0.795459, 0.789276, 0.783025, 0.776615, 0.770223, 0.999999, 0.999994, 0.999909,
	0.999536, 0.997195, 0.994123, 0.988168, 0.979344, 0.967003, 0.951763, 0.934724, 0.917948,
	0.902918, 0.890432, 0.880902, 0.874401, 0.870394, 0.868503, 0.868209, 0.869062, 0.870725,
	0.873006, 0.875558, 0.878230, 0.880893, 0.883445, 0.885832, 0.888059, 0.890058, 0.891782,
	0.893247, 0.894460, 0.895397, 0.896023, 0.896380, 0.896433, 0.896198, 0.895673, 0.894865,
	0.893908, 0.892700, 0.891224, 0.889501, 0.887539, 0.885336, 0.882903, 0.880244, 0.877373,
	0.874296, 0.871019, 0.867549, 0.863933, 0.860153, 0.856355, 0.852395, 0.848277, 0.844006,
	0.839587, 0.835045, 0.830378, 0.825579, 0.820649, 0.815592, 0.810432, 0.999998, 0.999988,
	0.999795, 0.998892, 0.994635, 0.987290, 0.975397, 0.958508, 0.938352, 0.917733, 0.899800,
	0.885878, 0.876516, 0.871200, 0.869099, 0.869317, 0.871112, 0.873870, 0.877160, 0.880682,
	0.884228, 0.887737, 0.891076, 0.894161, 0.896981, 0.899543, 0.901847, 0.903882, 0.905672,
	0.907188, 0.908451, 0.909480, 0.910289, 0.910878, 0.911259, 0.911430, 0.911396, 0.911154,
	0.910712, 0.910081, 0.909266, 0.908264, 0.907094, 0.905752, 0.904244, 0.902577, 0.900799,
	0.898931, 0.896923, 0.894782, 0.892513, 0.890117, 0.887600, 0.884968, 0.882222, 0.879369,
	0.876408, 0.873345, 0.870183, 0.866926, 0.863575, 0.860160, 0.856672, 0.853098, 0.999991,
	0.999947, 0.999158, 0.992842, 0.980107, 0.957230, 0.928231, 0.901539, 0.882688, 0.872588,
	0.869394, 0.870671, 0.874458, 0.879378, 0.884639, 0.889770, 0.894601, 0.898972, 0.902930,
	0.906456, 0.909568, 0.912329, 0.914750, 0.916893, 0.918774, 0.920429, 0.921868, 0.923110,
	0.924185, 0.925089, 0.925842, 0.926457, 0.926934, 0.927285, 0.927522, 0.927639, 0.927650,
	0.927553, 0.927356, 0.927061, 0.926671, 0.926187, 0.925617, 0.924962, 0.924224, 0.923409,
	0.922519, 0.921555, 0.920521, 0.919419, 0.918252, 0.917021, 0.915729, 0.914377, 0.912967,
	0.911503, 0.909984, 0.908414, 0.906791, 0.905122, 0.903401, 0.901637, 0.899826, 0.897972,
	0.987461, 0.940121, 0.871507, 0.898572, 0.916705, 0.926425, 0.931922, 0.935265, 0.937431,
	0.938899, 0.939950, 0.940717, 0.941301, 0.941754, 0.942111, 0.942397, 0.942631, 0.942823,
	0.942983, 0.943117, 0.943231, 0.943329, 0.943412, 0.943484, 0.943545, 0.943599, 0.943644,
	0.943682, 0.943716, 0.943744, 0.943766, 0.943785, 0.943799, 0.943808, 0.943815, 0.943818,
	0.943818, 0.943814, 0.943807, 0.943797, 0.943784, 0.943769, 0.943751, 0.943730, 0.943707,
	0.943681, 0.943652, 0.943623, 0.943589, 0.943554, 0.943518, 0.943479, 0.943438, 0.943396,
	0.943351, 0.943305, 0.943257, 0.943207, 0.943156, 0.943104, 0.943049, 0.942993, 0.942936,
	0.942877,
};

static float bsdf_split_sum_ggx[64 * 64 * 2] = {
	1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f,
	1.000000f, 0.000000f, 1.000000f, 0.000000f, 0.999512f, 0.000000f, 0.999512f, 0.000000f,
	0.999512f, 0.000000f, 0.999023f, 0.000001f, 0.999023f, 0.000001f, 0.998535f, 0.000001f,
	0.998047f, 0.000001f, 0.997559f, 0.000002f, 0.997070f, 0.000003f, 0.996094f, 0.000004f,
	0.994629f, 0.000004f, 0.993652f, 0.000006f, 0.991699f, 0.000007f, 0.989746f, 0.000008f,
	0.987305f, 0.000010f, 0.984375f, 0.000012f, 0.980957f, 0.000013f, 0.977539f, 0.000016f,
	0.973145f, 0.000018f, 0.967773f, 0.000020f, 0.961914f, 0.000023f, 0.955566f, 0.000025f,
	0.947754f, 0.000028f, 0.939941f, 0.000031f, 0.930664f, 0.000033f, 0.920410f, 0.000036f,
	0.909180f, 0.000039f, 0.896973f, 0.000042f, 0.884277f, 0.000044f, 0.870117f, 0.000047f,
	0.854980f, 0.000049f, 0.838867f, 0.000051f, 0.821777f, 0.000053f, 0.803711f, 0.000055f,
	0.785156f, 0.000057f, 0.765625f, 0.000058f, 0.745605f, 0.000059f, 0.724609f, 0.000060f,
	0.703613f, 0.000061f, 0.681641f, 0.000061f, 0.659668f, 0.000061f, 0.637695f, 0.000061f,
	0.615234f, 0.000061f, 0.592773f, 0.000060f, 0.570801f, 0.000060f, 0.548340f, 0.000059f,
	0.526855f, 0.000058f, 0.504883f, 0.000057f, 0.483887f, 0.000055f, 0.462891f, 0.000054f,
	0.442627f, 0.000053f, 0.422607f, 0.000051f, 0.403320f, 0.000050f, 0.384766f, 0.000048f,
	0.366455f, 0.000046f, 0.348877f, 0.000045f, 0.332031f, 0.000043f, 0.315918f, 0.000041f,
	0.999512f, 0.000000f, 0.999512f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f,
	0.999512f, 0.000000f, 1.000000f, 0.000000f, 0.999512f, 0.000000f, 0.999512f, 0.000000f,
	0.999512f, 0.000000f, 0.999023f, 0.000001f, 0.999023f, 0.000001f, 0.998535f, 0.000002f,
	0.998047f, 0.000003f, 0.997559f, 0.000004f, 0.997070f, 0.000005f, 0.996094f, 0.000006f,
	0.994629f, 0.000008f, 0.993164f, 0.000010f, 0.991699f, 0.000012f, 0.989746f, 0.000015f,
	0.987305f, 0.000018f, 0.984375f, 0.000020f, 0.980957f, 0.000024f, 0.977051f, 0.000027f,
	0.972168f, 0.000031f, 0.967285f, 0.000035f, 0.961426f, 0.000039f, 0.954590f, 0.000043f,
	0.947266f, 0.000048f, 0.938965f, 0.000052f, 0.929199f, 0.000057f, 0.919434f, 0.000061f,
	0.908203f, 0.000065f, 0.895996f, 0.000069f, 0.882812f, 0.000073f, 0.868652f, 0.000077f,
	0.853027f, 0.000080f, 0.837402f, 0.000083f, 0.820312f, 0.000086f, 0.802246f, 0.000088f,
	0.783691f, 0.000090f, 0.764160f, 0.000092f, 0.744141f, 0.000093f, 0.723633f, 0.000093f,
	0.702637f, 0.000094f, 0.681152f, 0.000094f, 0.659180f, 0.000093f, 0.637207f, 0.000093f,
	0.615234f, 0.000091f, 0.593262f, 0.000090f, 0.571289f, 0.000088f, 0.549316f, 0.000087f,
	0.527344f, 0.000085f, 0.505859f, 0.000082f, 0.485107f, 0.000080f, 0.464355f, 0.000078f,
	0.444336f, 0.000075f, 0.424561f, 0.000072f, 0.405273f, 0.000070f, 0.386719f, 0.000067f,
	0.368652f, 0.000065f, 0.351318f, 0.000062f, 0.334473f, 0.000059f, 0.318115f, 0.000057f,
	0.999512f, 0.000000f, 0.999512f, 0.000000f, 0.999512f, 0.000000f, 1.000000f, 0.000000f,
	0.999512f, 0.000000f, 0.999512f, 0.000000f, 0.999512f, 0.000001f, 0.999512f, 0.000001f,
	0.999512f, 0.000001f, 0.999512f, 0.000003f, 0.999023f, 0.000002f, 0.998535f, 0.000004f,
	0.998047f, 0.000005f, 0.997559f, 0.000007f, 0.997070f, 0.000009f, 0.996094f, 0.000011f,
	0.994629f, 0.000013f, 0.993164f, 0.000017f, 0.991211f, 0.000020f, 0.989258f, 0.000024f,
	0.986816f, 0.000028f, 0.983887f, 0.000033f, 0.980469f, 0.000038f, 0.976562f, 0.000043f,
	0.971680f, 0.000049f, 0.966797f, 0.000055f, 0.960449f, 0.000062f, 0.953613f, 0.000068f,
	0.946289f, 0.000075f, 0.937500f, 0.000081f, 0.928223f, 0.000088f, 0.917969f, 0.000094f,
	0.906738f, 0.000100f, 0.894531f, 0.000106f, 0.880859f, 0.000111f, 0.866699f, 0.000116f,
	0.851562f, 0.000120f, 0.835449f, 0.000124f, 0.818359f, 0.000127f, 0.800781f, 0.000130f,
	0.782227f, 0.000132f, 0.762695f, 0.000134f, 0.742676f, 0.000134f, 0.722656f, 0.000135f,
	0.701660f, 0.000134f, 0.680176f, 0.000133f, 0.658691f, 0.000132f, 0.636719f, 0.000130f,
	0.615234f, 0.000128f, 0.593262f, 0.000125f, 0.571289f, 0.000123f, 0.549805f, 0.000119f,
	0.528320f, 0.000116f, 0.507324f, 0.000112f, 0.486328f, 0.000109f, 0.466064f, 0.000105f,
	0.446045f, 0.000101f, 0.426514f, 0.000097f, 0.407471f, 0.000093f, 0.388916f, 0.000089f,
	0.370850f, 0.000085f, 0.353516f, 0.000082f, 0.336914f, 0.000078f, 0.320557f, 0.000074f,
	1.000000f, 0.000000f, 0.999512f, 0.000000f, 0.999512f, 0.000000f, 0.999512f, 0.000000f,
	1.000000f, 0.000000f, 1.000000f, 0.000001f, 0.999512f, 0.000001f, 0.999512f, 0.000002f,
	0.999512f, 0.000002f, 0.999023f, 0.000003f, 0.999023f, 0.000005f, 0.998535f, 0.000006f,
	0.998535f, 0.000008f, 0.997559f, 0.000011f, 0.997070f, 0.000014f, 0.996094f, 0.000017f,
	0.994629f, 0.000020f, 0.993164f, 0.000026f, 0.991211f, 0.000030f, 0.989258f, 0.000036f,
	0.986816f, 0.000043f, 0.983398f, 0.000050f, 0.979980f, 0.000058f, 0.976074f, 0.000066f,
	0.971191f, 0.000074f, 0.965820f, 0.000082f, 0.959961f, 0.000093f, 0.952637f, 0.000101f,
	0.945312f, 0.000111f, 0.936523f, 0.000120f, 0.927246f, 0.000129f, 0.916504f, 0.000137f,
	0.905273f, 0.000145f, 0.892578f, 0.000153f, 0.879395f, 0.000160f, 0.865234f, 0.000166f,
	0.850098f, 0.000171f, 0.833984f, 0.000176f, 0.816895f, 0.000179f, 0.799316f, 0.000182f,
	0.780762f, 0.000184f, 0.761230f, 0.000185f, 0.741699f, 0.000185f, 0.721191f, 0.000184f,
	0.700684f, 0.000183f, 0.679688f, 0.000181f, 0.658203f, 0.000178f, 0.636719f, 0.000175f,
	0.615234f, 0.000171f, 0.593262f, 0.000167f, 0.571777f, 0.000162f, 0.550293f, 0.000158f,
	0.529297f, 0.000152f, 0.508301f, 0.000147f, 0.487793f, 0.000142f, 0.467529f, 0.000136f,
	0.447754f, 0.000131f, 0.428223f, 0.000125f, 0.409424f, 0.000120f, 0.391113f, 0.000115f,
	0.373291f, 0.000109f, 0.355957f, 0.000104f, 0.339355f, 0.000099f, 0.323242f, 0.000094f,
	0.999512f, 0.000002f, 0.999512f, 0.000002f, 1.000000f, 0.000002f, 0.999512f, 0.000002f,
	1.000000f, 0.000002f, 0.999512f, 0.000002f, 0.999512f, 0.000002f, 0.999512f, 0.000003f,
	0.999512f, 0.000004f, 0.999512f, 0.000005f, 0.999023f, 0.000007f, 0.998535f, 0.000010f,
	0.998047f, 0.000012f, 0.997559f, 0.000017f, 0.996582f, 0.000020f, 0.995605f, 0.000025f,
	0.994629f, 0.000032f, 0.993164f, 0.000038f, 0.991211f, 0.000047f, 0.988770f, 0.000055f,
	0.986328f, 0.000063f, 0.983398f, 0.000074f, 0.979492f, 0.000085f, 0.975586f, 0.000095f,
	0.970703f, 0.000108f, 0.965332f, 0.000121f, 0.958984f, 0.000132f, 0.952148f, 0.000145f,
	0.944336f, 0.000157f, 0.935547f, 0.000170f, 0.925781f, 0.000181f, 0.915039f, 0.000192f,
	0.903809f, 0.000203f, 0.891113f, 0.000212f, 0.877930f, 0.000220f, 0.863281f, 0.000227f,
	0.848145f, 0.000234f, 0.832031f, 0.000239f, 0.814941f, 0.000242f, 0.797363f, 0.000245f,
	0.778809f, 0.000247f, 0.759766f, 0.000247f, 0.740234f, 0.000246f, 0.720215f, 0.000244f,
	0.699707f, 0.000241f, 0.678711f, 0.000237f, 0.657715f, 0.000233f, 0.636230f, 0.000228f,
	0.614746f, 0.000222f, 0.593750f, 0.000216f, 0.572266f, 0.000209f, 0.551270f, 0.000202f,
	0.530273f, 0.000195f, 0.509277f, 0.000187f, 0.489014f, 0.000180f, 0.468994f, 0.000172f,
	0.449463f, 0.000165f, 0.430176f, 0.000157f, 0.411377f, 0.000150f, 0.393311f, 0.000143f,
	0.375488f, 0.000136f, 0.358398f, 0.000129f, 0.341797f, 0.000123f, 0.325684f, 0.000116f,
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	0.679199f, 0.031952f, 0.670410f, 0.029892f, 0.660645f, 0.027969f, 0.650879f, 0.026184f,
	0.640625f, 0.024521f, 0.630371f, 0.022964f, 0.619629f, 0.021515f, 0.608887f, 0.020172f,
	0.598145f, 0.018921f, 0.586914f, 0.017761f, 0.575195f, 0.016663f, 0.563965f, 0.015656f,
	0.244995f, 0.754395f, 0.245117f, 0.754395f, 0.245483f, 0.753418f, 0.246704f, 0.750977f,
	0.249634f, 0.745117f, 0.253662f, 0.734863f, 0.260010f, 0.717773f, 0.268555f, 0.694336f,
	0.277344f, 0.665527f, 0.292480f, 0.632812f, 0.309814f, 0.599121f, 0.331787f, 0.565918f,
	0.352539f, 0.533203f, 0.376465f, 0.501953f, 0.405518f, 0.472412f, 0.433838f, 0.444336f,
	0.456787f, 0.417236f, 0.488281f, 0.391357f, 0.510254f, 0.366211f, 0.540039f, 0.343018f,
	0.564941f, 0.320557f, 0.579590f, 0.299561f, 0.606445f, 0.279541f, 0.627441f, 0.260498f,
	0.638184f, 0.242676f, 0.666504f, 0.226074f, 0.670898f, 0.210327f, 0.687988f, 0.195801f,
	0.700684f, 0.182129f, 0.706055f, 0.169312f, 0.718262f, 0.157471f, 0.727539f, 0.146362f,
	0.735840f, 0.136108f, 0.738770f, 0.126587f, 0.743164f, 0.117737f, 0.746582f, 0.109497f,
	0.751953f, 0.101868f, 0.751953f, 0.094788f, 0.753906f, 0.088257f, 0.752930f, 0.082153f,
	0.750977f, 0.076538f, 0.749512f, 0.071289f, 0.745605f, 0.066406f, 0.742188f, 0.061951f,
	0.738281f, 0.057770f, 0.734375f, 0.053894f, 0.729004f, 0.050293f, 0.722656f, 0.046967f,
	0.715332f, 0.043854f, 0.708496f, 0.040985f, 0.701172f, 0.038330f, 0.693359f, 0.035828f,
	0.684570f, 0.033539f, 0.676270f, 0.031403f, 0.666992f, 0.029404f, 0.657227f, 0.027542f,
	0.646973f, 0.025818f, 0.636719f, 0.024200f, 0.626465f, 0.022705f, 0.615723f, 0.021301f,
	0.604980f, 0.020004f, 0.593750f, 0.018784f, 0.582520f, 0.017654f, 0.571289f, 0.016586f,
	0.180542f, 0.818848f, 0.180664f, 0.818848f, 0.181274f, 0.817383f, 0.183350f, 0.812988f,
	0.187134f, 0.802734f, 0.193237f, 0.784180f, 0.201416f, 0.757324f, 0.214355f, 0.723145f,
	0.231445f, 0.685547f, 0.248901f, 0.648438f, 0.272217f, 0.611816f, 0.302979f, 0.577148f,
	0.329834f, 0.544922f, 0.364258f, 0.514160f, 0.394043f, 0.484619f, 0.425781f, 0.456055f,
	0.456543f, 0.428467f, 0.481934f, 0.402344f, 0.512207f, 0.376709f, 0.540039f, 0.352783f,
	0.566406f, 0.329346f, 0.579102f, 0.307617f, 0.607910f, 0.286865f, 0.627930f, 0.267822f,
	0.645996f, 0.249512f, 0.661621f, 0.232178f, 0.677734f, 0.216309f, 0.691406f, 0.201172f,
	0.702637f, 0.187256f, 0.711426f, 0.174194f, 0.721680f, 0.161987f, 0.730957f, 0.150879f,
	0.736328f, 0.140259f, 0.742188f, 0.130493f, 0.746582f, 0.121582f, 0.750488f, 0.113159f,
	0.751953f, 0.105347f, 0.752930f, 0.098083f, 0.756836f, 0.091370f, 0.755859f, 0.085144f,
	0.755371f, 0.079346f, 0.752441f, 0.073975f, 0.750488f, 0.069031f, 0.746582f, 0.064392f,
	0.743652f, 0.060120f, 0.737793f, 0.056152f, 0.733398f, 0.052460f, 0.727051f, 0.049011f,
	0.720215f, 0.045837f, 0.713867f, 0.042847f, 0.706543f, 0.040100f, 0.699219f, 0.037537f,
	0.690430f, 0.035156f, 0.682129f, 0.032928f, 0.672852f, 0.030884f, 0.663086f, 0.028961f,
	0.653809f, 0.027161f, 0.644043f, 0.025497f, 0.633301f, 0.023941f, 0.622559f, 0.022491f,
	0.612305f, 0.021133f, 0.601074f, 0.019867f, 0.590332f, 0.018692f, 0.579102f, 0.017578f,
	0.111816f, 0.888184f, 0.112000f, 0.887207f, 0.112976f, 0.883789f, 0.115845f, 0.873047f,
	0.122864f, 0.849609f, 0.133301f, 0.813477f, 0.147217f, 0.770996f, 0.167236f, 0.728027f,
	0.196411f, 0.688965f, 0.222290f, 0.653320f, 0.258057f, 0.619629f, 0.293457f, 0.587402f,
	0.328613f, 0.556152f, 0.361328f, 0.524902f, 0.392578f, 0.495850f, 0.430420f, 0.466064f,
	0.459961f, 0.437744f, 0.482422f, 0.410889f, 0.511230f, 0.385010f, 0.536621f, 0.359863f,
	0.568848f, 0.336182f, 0.592773f, 0.313721f, 0.614258f, 0.293213f, 0.626953f, 0.273193f,
	0.646484f, 0.254639f, 0.657227f, 0.237427f, 0.683105f, 0.221191f, 0.693359f, 0.205933f,
	0.698242f, 0.191772f, 0.709473f, 0.178589f, 0.724609f, 0.166260f, 0.733398f, 0.154907f,
	0.739746f, 0.144165f, 0.745605f, 0.134399f, 0.750977f, 0.125122f, 0.753906f, 0.116577f,
	0.754883f, 0.108704f, 0.758301f, 0.101257f, 0.759766f, 0.094482f, 0.757812f, 0.088074f,
	0.759766f, 0.082092f, 0.758301f, 0.076660f, 0.756348f, 0.071594f, 0.752441f, 0.066833f,
	0.748047f, 0.062469f, 0.741699f, 0.058380f, 0.736816f, 0.054596f, 0.732910f, 0.051086f,
	0.726074f, 0.047791f, 0.719727f, 0.044769f, 0.711914f, 0.041901f, 0.704590f, 0.039276f,
	0.696289f, 0.036804f, 0.688477f, 0.034546f, 0.678711f, 0.032410f, 0.669922f, 0.030411f,
	0.660156f, 0.028564f, 0.650391f, 0.026840f, 0.640625f, 0.025223f, 0.630371f, 0.023727f,
	0.619629f, 0.022324f, 0.608887f, 0.020996f, 0.597656f, 0.019775f, 0.586914f, 0.018631f,
	0.038452f, 0.960938f, 0.039124f, 0.957520f, 0.042480f, 0.933594f, 0.051575f, 0.879395f,
	0.069275f, 0.824219f, 0.091064f, 0.785156f, 0.126343f, 0.753906f, 0.154419f, 0.725586f,
	0.192139f, 0.695312f, 0.234375f, 0.663086f, 0.273438f, 0.630371f, 0.305908f, 0.597656f,
	0.338379f, 0.565430f, 0.379150f, 0.532227f, 0.413818f, 0.501465f, 0.444336f, 0.471191f,
	0.471436f, 0.442383f, 0.504395f, 0.414795f, 0.531250f, 0.388672f, 0.547363f, 0.364014f,
	0.579590f, 0.340088f, 0.603516f, 0.317627f, 0.622559f, 0.297119f, 0.635742f, 0.276855f,
	0.669434f, 0.258301f, 0.670410f, 0.241089f, 0.685547f, 0.224854f, 0.699219f, 0.209717f,
	0.712402f, 0.195190f, 0.720703f, 0.182373f, 0.729980f, 0.169678f, 0.746582f, 0.158325f,
	0.744629f, 0.147705f, 0.748535f, 0.137695f, 0.760254f, 0.128296f, 0.757812f, 0.119629f,
	0.761230f, 0.111755f, 0.762207f, 0.104248f, 0.764160f, 0.097290f, 0.763184f, 0.090881f,
	0.762207f, 0.084900f, 0.760742f, 0.079285f, 0.759766f, 0.074097f, 0.755859f, 0.069275f,
	0.752930f, 0.064758f, 0.747559f, 0.060669f, 0.742676f, 0.056793f, 0.737305f, 0.053131f,
	0.731445f, 0.049774f, 0.725586f, 0.046661f, 0.718262f, 0.043732f, 0.710449f, 0.041077f,
	0.702637f, 0.038544f, 0.694336f, 0.036163f, 0.685547f, 0.033966f, 0.676758f, 0.031921f,
	0.667480f, 0.030014f, 0.657715f, 0.028229f, 0.647461f, 0.026566f, 0.637207f, 0.025009f,
	0.626953f, 0.023544f, 0.616699f, 0.022186f, 0.605957f, 0.020920f, 0.594727f, 0.019730f
};

static float btdf_split_sum_ggx[32][64 * 64] = {
	{
		0.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f,
		1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f,
		1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f,
		1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f,
		1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f,
		0.999512f, 1.000000f, 0.999512f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f,
		1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f,
		1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f,
		1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f,
		1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f,
		1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
		1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f,
		1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f,
		1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f,
		0.999512f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f,
		1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f,
		0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f,
		0.999512f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f,
		1.000000f, 0.999512f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f,
		1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f,
		1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f,
		1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
		1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f,
		1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f,
		1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f,
		1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f,
		1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
		0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f,
		1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 0.999512f,
		1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f,
		1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f,
		1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f,
		0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f,
		1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f,
		1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f,
		1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f,
		1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f,
		1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
		0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f,
		1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f,
		0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f,
		1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f,
		1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
		0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f,
		1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f,
		1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f,
		1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f,
		1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f,
		0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
		0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f,
		1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f,
		1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f,
		1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f,
		1.000000f, 0.999512f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
		0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f,
		1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f,
		1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f,
		1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f,
		1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
		0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
		0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f,
		1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f,
		1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f,
		1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f,
		0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
		0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.039917f, 1.000000f, 1.000000f, 1.000000f,
		1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f,
		1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f,
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		1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
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		0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f,
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		0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f,
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		0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f,
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		0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f,
		0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
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		0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f,
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		0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f,
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		0.000730f, 0.000893f, 0.001826f, 0.004871f, 0.030411f, 0.922852f, 0.992188f, 0.997559f, 0.998535f, 0.999023f, 0.999023f, 0.999512f,
		0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f,
		0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
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		0.997070f, 0.998535f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f,
		0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f,
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		0.001579f, 0.003941f, 0.020767f, 0.862793f, 0.991699f, 0.997559f, 0.998535f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f,
		0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f,
		0.999512f, 0.999512f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
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		0.000122f, 0.000122f, 0.000238f, 0.000483f, 0.000732f, 0.001449f, 0.003654f, 0.018951f, 0.847656f, 0.991699f, 0.997559f, 0.998535f,
		0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f,
		0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
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		0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000233f, 0.000485f, 0.000732f, 0.001308f, 0.003353f,
		0.018997f, 0.855469f, 0.991699f, 0.997559f, 0.998535f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f,
		0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f,
		0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
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		0.000000f, 0.000118f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f,
		0.000122f, 0.000487f, 0.000732f, 0.001292f, 0.003649f, 0.019791f, 0.881836f, 0.992188f, 0.997559f, 0.998535f, 0.999023f, 0.999512f,
		0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f,
		0.999512f, 0.999512f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
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		0.993652f, 0.997559f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f,
		0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
		0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
		0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000116f,
		0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000487f,
		0.000732f, 0.001245f, 0.004002f, 0.028107f, 0.946289f, 0.994141f, 0.998047f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f,
		0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f,
		0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
		0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
		0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000085f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f,
		0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000475f, 0.000732f, 0.001611f, 0.004581f, 0.040466f, 0.966309f, 0.995605f, 0.998535f,
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		0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f,
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		0.999512f, 0.999512f, 0.999512f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000121f, 0.000122f, 0.000122f,
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		0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
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		0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f,
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		0.999512f, 0.999512f, 0.999512f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
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		0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000242f, 0.000362f, 0.000704f, 0.000730f,
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		0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
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		0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.999512f, 0.999512f,
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		0.995605f, 0.996582f, 0.996582f, 0.997070f, 0.997070f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f,
		0.998535f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000000f, 0.000122f, 0.000242f,
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		0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f,
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		0.996582f, 0.997070f, 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.999512f, 0.999512f,
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		0.993652f, 0.994141f, 0.995117f, 0.995605f, 0.996094f, 0.996094f, 0.997070f, 0.997070f, 0.998047f, 0.997559f, 0.998047f, 0.998535f,
		0.998535f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000000f, 0.000000f, 0.000096f,
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		0.984863f, 0.987305f, 0.989258f, 0.991211f, 0.992188f, 0.993164f, 0.994141f, 0.995117f, 0.995605f, 0.996094f, 0.996582f, 0.996582f,
		0.997559f, 0.997559f, 0.997559f, 0.998047f, 0.998535f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f,
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		0.995117f, 0.995605f, 0.996094f, 0.996582f, 0.997070f, 0.997070f, 0.997559f, 0.998047f, 0.998535f, 0.998535f, 0.999512f, 0.999023f,
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		0.989746f, 0.991211f, 0.992676f, 0.993164f, 0.994141f, 0.995117f, 0.995605f, 0.996582f, 0.996582f, 0.997070f, 0.997559f, 0.998047f,
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		0.964844f, 0.974121f, 0.979980f, 0.983398f, 0.987305f, 0.989258f, 0.991211f, 0.992676f, 0.993652f, 0.993652f, 0.995117f, 0.995605f,
		0.996582f, 0.997070f, 0.997559f, 0.998047f, 0.998047f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f,
		0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000120f, 0.000121f, 0.000241f, 0.000486f, 0.000575f, 0.000707f,
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		0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000175f, 0.000361f,
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		0.037140f, 0.057343f, 0.095886f, 0.175659f, 0.334473f, 0.567871f, 0.760742f, 0.866699f, 0.919922f, 0.947754f, 0.963379f, 0.972656f,
		0.979492f, 0.984375f, 0.987305f, 0.989258f, 0.991211f, 0.992676f, 0.993652f, 0.994629f, 0.995117f, 0.996094f, 0.996582f, 0.997070f,
		0.998047f, 0.998047f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
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		0.000972f, 0.001081f, 0.001312f, 0.001658f, 0.001914f, 0.001932f, 0.002390f, 0.003017f, 0.003668f, 0.004353f, 0.005199f, 0.006336f,
		0.007812f, 0.009972f, 0.012802f, 0.017029f, 0.024200f, 0.035034f, 0.053833f, 0.090027f, 0.164185f, 0.316162f, 0.549805f, 0.751465f,
		0.863281f, 0.918457f, 0.947266f, 0.963379f, 0.974121f, 0.979492f, 0.984375f, 0.987793f, 0.989746f, 0.991699f, 0.993164f, 0.994141f,
		0.995117f, 0.995605f, 0.996094f, 0.997070f, 0.997559f, 0.997559f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f,
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		0.987793f, 0.990234f, 0.991699f, 0.993652f, 0.994141f, 0.995117f, 0.996094f, 0.996582f, 0.997070f, 0.997559f, 0.999023f, 0.999023f,
		0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f,
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		0.977051f, 0.982910f, 0.986816f, 0.989258f, 0.991211f, 0.993164f, 0.994629f, 0.995605f, 0.996094f, 0.996582f, 0.999023f, 0.999023f,
		0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f,
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		0.995605f, 0.996094f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
		0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000254f, 0.000345f, 0.000468f,
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		0.988770f, 0.990723f, 0.992676f, 0.994141f, 0.995117f, 0.996094f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f,
		0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f,
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		0.008354f, 0.010971f, 0.014793f, 0.020859f, 0.030640f, 0.048859f, 0.085144f, 0.167358f, 0.350586f, 0.620117f, 0.811035f, 0.900391f,
		0.942383f, 0.963379f, 0.975098f, 0.981934f, 0.986816f, 0.989746f, 0.992188f, 0.993164f, 0.994629f, 0.995117f, 0.998535f, 0.998535f,
		0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f,
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		0.182129f, 0.385498f, 0.659668f, 0.834473f, 0.913086f, 0.949219f, 0.967285f, 0.978027f, 0.983887f, 0.987793f, 0.991211f, 0.992188f,
		0.994141f, 0.995117f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.000000f, 0.000000f, 0.000122f, 0.000122f,
		0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000189f, 0.000122f, 0.000122f,
		0.000241f, 0.000295f, 0.000425f, 0.000457f, 0.000592f, 0.000481f, 0.000603f, 0.000697f, 0.000926f, 0.000943f, 0.000960f, 0.001022f,
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		0.015030f, 0.021271f, 0.032257f, 0.053009f, 0.097534f, 0.203003f, 0.432373f, 0.704102f, 0.858887f, 0.924805f, 0.955566f, 0.970703f,
		0.979492f, 0.985840f, 0.989258f, 0.991699f, 0.993164f, 0.995117f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f,
		0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f,
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		0.004055f, 0.005161f, 0.006424f, 0.008209f, 0.010933f, 0.015030f, 0.021942f, 0.033630f, 0.056671f, 0.107666f, 0.233276f, 0.492188f,
		0.752441f, 0.881836f, 0.937012f, 0.961914f, 0.975098f, 0.982910f, 0.987305f, 0.990234f, 0.992676f, 0.994629f, 0.998535f, 0.998535f,
		0.998535f, 0.998047f, 0.998535f, 0.998535f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f,
		0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000132f, 0.000224f, 0.000129f, 0.000237f, 0.000240f,
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		0.035614f, 0.061859f, 0.122681f, 0.275879f, 0.563965f, 0.798828f, 0.903809f, 0.946777f, 0.967773f, 0.978516f, 0.984863f, 0.988770f,
		0.991699f, 0.993652f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.000000f, 0.000000f, 0.000122f, 0.000122f,
		0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f,
		0.000122f, 0.000122f, 0.000149f, 0.000122f, 0.000207f, 0.000371f, 0.000430f, 0.000573f, 0.000591f, 0.000598f, 0.000597f, 0.000804f,
		0.000901f, 0.000948f, 0.001053f, 0.001083f, 0.001376f, 0.001584f, 0.001878f, 0.002331f, 0.002529f, 0.003376f, 0.003944f, 0.005230f,
		0.006504f, 0.008537f, 0.011459f, 0.015747f, 0.024002f, 0.038361f, 0.069458f, 0.144409f, 0.336914f, 0.644043f, 0.841797f, 0.922363f,
		0.957520f, 0.972656f, 0.981934f, 0.987305f, 0.990234f, 0.993164f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.998047f,
		0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f,
		0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000230f, 0.000234f, 0.000235f, 0.000268f, 0.000400f,
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		0.177490f, 0.420654f, 0.724121f, 0.878906f, 0.938965f, 0.964355f, 0.977539f, 0.984863f, 0.989746f, 0.992188f, 0.997559f, 0.997559f,
		0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f,
		0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f,
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		0.987793f, 0.991699f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.000000f, 0.000122f, 0.000122f, 0.000122f,
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		0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000205f, 0.000236f, 0.000232f, 0.000299f, 0.000446f, 0.000417f,
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		0.855957f, 0.934082f, 0.964355f, 0.978516f, 0.985840f, 0.990234f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.997559f,
		0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f,
		0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000226f,
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		0.001129f, 0.001446f, 0.001614f, 0.002096f, 0.002619f, 0.002939f, 0.003941f, 0.005363f, 0.006844f, 0.009491f, 0.013596f, 0.020905f,
		0.035370f, 0.068420f, 0.161743f, 0.426270f, 0.755859f, 0.900879f, 0.952148f, 0.973145f, 0.983398f, 0.989746f, 0.997070f, 0.997070f,
		0.997070f, 0.997070f, 0.997070f, 0.997070f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f,
		0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f,
		0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000111f, 0.000236f, 0.000297f, 0.000368f, 0.000449f, 0.000467f,
		0.000588f, 0.000641f, 0.000813f, 0.000924f, 0.001035f, 0.001124f, 0.001348f, 0.001764f, 0.001922f, 0.002439f, 0.003160f, 0.004005f,
		0.005280f, 0.007107f, 0.010109f, 0.014748f, 0.023148f, 0.041595f, 0.088440f, 0.232910f, 0.578125f, 0.841797f, 0.933594f, 0.965820f,
		0.980469f, 0.987305f, 0.996582f, 0.996582f, 0.996582f, 0.996582f, 0.996582f, 0.996582f, 0.000000f, 0.000122f, 0.000122f, 0.000122f,
		0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f,
		0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000014f, 0.000011f, 0.000116f,
		0.000148f, 0.000128f, 0.000369f, 0.000418f, 0.000563f, 0.000470f, 0.000592f, 0.000776f, 0.000901f, 0.000937f, 0.001112f, 0.001348f,
		0.001743f, 0.001904f, 0.002470f, 0.003187f, 0.003986f, 0.005360f, 0.007557f, 0.010674f, 0.016068f, 0.026871f, 0.051666f, 0.122925f,
		0.356445f, 0.729492f, 0.901855f, 0.955078f, 0.976074f, 0.985840f, 0.996094f, 0.996582f, 0.996094f, 0.996582f, 0.996094f, 0.996582f,
		0.000122f, 0.000122f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f,
		0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f,
		0.000028f, 0.000019f, 0.000014f, 0.000011f, 0.000033f, 0.000118f, 0.000247f, 0.000305f, 0.000412f, 0.000447f, 0.000576f, 0.000587f,
		0.000693f, 0.000850f, 0.000949f, 0.001083f, 0.001319f, 0.001557f, 0.001957f, 0.002424f, 0.003340f, 0.004417f, 0.005688f, 0.007774f,
		0.011497f, 0.017731f, 0.032257f, 0.068604f, 0.189575f, 0.541992f, 0.843262f, 0.938477f, 0.970703f, 0.983887f, 0.995605f, 0.996094f,
		0.996094f, 0.996094f, 0.996094f, 0.996094f, 0.000121f, 0.000118f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f,
		0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f,
		0.000121f, 0.000121f, 0.000121f, 0.000067f, 0.000042f, 0.000028f, 0.000020f, 0.000015f, 0.000066f, 0.000009f, 0.000101f, 0.000118f,
		0.000260f, 0.000358f, 0.000520f, 0.000456f, 0.000563f, 0.000711f, 0.000872f, 0.000980f, 0.001059f, 0.001309f, 0.001699f, 0.002066f,
		0.002708f, 0.003248f, 0.004166f, 0.005836f, 0.008224f, 0.012619f, 0.021484f, 0.041260f, 0.101074f, 0.323486f, 0.733887f, 0.912109f,
		0.962402f, 0.980957f, 0.995117f, 0.995117f, 0.995605f, 0.995605f, 0.995605f, 0.995605f, 0.000000f, 0.000000f, 0.000119f, 0.000119f,
		0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f,
		0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000105f, 0.000067f, 0.000042f, 0.000029f, 0.000022f,
		0.000015f, 0.000011f, 0.000040f, 0.000033f, 0.000153f, 0.000204f, 0.000313f, 0.000501f, 0.000554f, 0.000575f, 0.000585f, 0.000778f,
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		0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f,
		0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.001335f, 0.004597f, 0.010628f, 0.020844f, 0.040283f, 0.082764f, 0.177612f, 0.366211f,
		0.605469f, 0.773926f, 0.863281f, 0.910156f, 0.936035f, 0.952148f, 0.962402f, 0.969727f, 0.975098f, 0.979004f, 0.982422f, 0.984863f,
		0.986328f, 0.988281f, 0.988770f, 0.989746f, 0.991211f, 0.991699f, 0.992676f, 0.993164f, 0.993652f, 0.994629f, 0.995117f, 0.995117f,
		0.996094f, 0.996094f, 0.996094f, 0.996582f, 0.997070f, 0.996582f, 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998047f,
		0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f,
		0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000851f, 0.002769f, 0.006130f, 0.010994f,
		0.019394f, 0.034943f, 0.063293f, 0.122253f, 0.244019f, 0.448242f, 0.660156f, 0.798828f, 0.872559f, 0.914062f, 0.937988f, 0.954102f,
		0.961914f, 0.970215f, 0.974609f, 0.978516f, 0.981934f, 0.984375f, 0.986328f, 0.987793f, 0.988770f, 0.989746f, 0.991211f, 0.991699f,
		0.992676f, 0.993164f, 0.994141f, 0.994629f, 0.995117f, 0.995605f, 0.995605f, 0.996094f, 0.996582f, 0.996582f, 0.997070f, 0.997070f,
		0.997070f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f,
		0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f,
		0.000466f, 0.001933f, 0.003809f, 0.007095f, 0.011353f, 0.018204f, 0.030029f, 0.050568f, 0.090759f, 0.170898f, 0.318848f, 0.526367f,
		0.708496f, 0.820801f, 0.884277f, 0.918457f, 0.940918f, 0.954102f, 0.963867f, 0.970215f, 0.975098f, 0.978516f, 0.981934f, 0.984863f,
		0.986328f, 0.988281f, 0.988770f, 0.990234f, 0.991211f, 0.991699f, 0.993164f, 0.993652f, 0.994141f, 0.994629f, 0.994629f, 0.995605f,
		0.996094f, 0.996094f, 0.996582f, 0.996582f, 0.996582f, 0.997070f, 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998535f,
		0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f,
		0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000487f, 0.001685f, 0.002766f, 0.004467f, 0.007305f, 0.011215f, 0.017136f, 0.026489f,
		0.042419f, 0.071716f, 0.125244f, 0.228271f, 0.399658f, 0.599609f, 0.751953f, 0.842773f, 0.894531f, 0.924805f, 0.943359f, 0.955566f,
		0.965820f, 0.971191f, 0.976562f, 0.979980f, 0.981934f, 0.984863f, 0.986816f, 0.988281f, 0.989258f, 0.990723f, 0.991211f, 0.992188f,
		0.992676f, 0.993652f, 0.994141f, 0.995117f, 0.995117f, 0.995605f, 0.996094f, 0.996094f, 0.996094f, 0.996582f, 0.997070f, 0.997070f,
		0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f,
		0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000244f, 0.000965f, 0.002024f, 0.003202f,
		0.005009f, 0.007050f, 0.011070f, 0.015869f, 0.023987f, 0.036835f, 0.058563f, 0.097168f, 0.169800f, 0.297852f, 0.484131f, 0.664062f,
		0.789062f, 0.861816f, 0.905273f, 0.930176f, 0.947266f, 0.958984f, 0.967285f, 0.972168f, 0.976562f, 0.980469f, 0.982910f, 0.984863f,
		0.986816f, 0.988770f, 0.989746f, 0.990723f, 0.992188f, 0.992188f, 0.993652f, 0.993652f, 0.994629f, 0.995117f, 0.995117f, 0.995605f,
		0.996094f, 0.996094f, 0.996582f, 0.996582f, 0.997070f, 0.997070f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.998047f, 0.998535f,
		0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f,
		0.000244f, 0.000974f, 0.001576f, 0.002403f, 0.003510f, 0.005344f, 0.007332f, 0.010567f, 0.015099f, 0.022064f, 0.032104f, 0.048706f,
		0.078003f, 0.130249f, 0.224243f, 0.378174f, 0.566406f, 0.720703f, 0.820312f, 0.879883f, 0.915039f, 0.936523f, 0.951660f, 0.961426f,
		0.968262f, 0.974121f, 0.978027f, 0.980957f, 0.983887f, 0.985840f, 0.987793f, 0.989258f, 0.990234f, 0.991211f, 0.992188f, 0.992676f,
		0.993652f, 0.994141f, 0.994629f, 0.995117f, 0.995605f, 0.995605f, 0.996094f, 0.996094f, 0.996582f, 0.997070f, 0.997070f, 0.997070f,
		0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998535f, 0.998047f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999512f, 0.999512f,
		0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000240f, 0.000609f, 0.001096f, 0.001580f, 0.002674f, 0.004131f, 0.005245f, 0.007660f,
		0.010757f, 0.014221f, 0.019775f, 0.028381f, 0.041870f, 0.064697f, 0.103638f, 0.173706f, 0.293945f, 0.466553f, 0.642090f, 0.769531f,
		0.849121f, 0.895996f, 0.924316f, 0.942871f, 0.956055f, 0.963867f, 0.970703f, 0.975098f, 0.979004f, 0.981934f, 0.984863f, 0.986328f,
		0.988770f, 0.989746f, 0.990723f, 0.991699f, 0.992676f, 0.993164f, 0.993652f, 0.994629f, 0.995117f, 0.995117f, 0.995605f, 0.996094f,
		0.996094f, 0.996094f, 0.996582f, 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.997559f, 0.998047f, 0.998047f, 0.998535f, 0.998535f,
		0.998535f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000608f, 0.001062f, 0.001268f,
		0.002001f, 0.003099f, 0.003937f, 0.005379f, 0.007595f, 0.010078f, 0.013176f, 0.018524f, 0.025787f, 0.036896f, 0.054932f, 0.085327f,
		0.137573f, 0.229980f, 0.376953f, 0.555664f, 0.708984f, 0.810547f, 0.873047f, 0.909180f, 0.933594f, 0.948730f, 0.959961f, 0.967285f,
		0.973145f, 0.977539f, 0.980469f, 0.983398f, 0.985840f, 0.986816f, 0.988770f, 0.989746f, 0.991211f, 0.992188f, 0.993164f, 0.993652f,
		0.994141f, 0.994629f, 0.995117f, 0.995605f, 0.996094f, 0.996582f, 0.996094f, 0.996582f, 0.997070f, 0.997559f, 0.997559f, 0.998047f,
		0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f,
		0.000244f, 0.000606f, 0.000609f, 0.001317f, 0.001564f, 0.002674f, 0.003273f, 0.004402f, 0.005630f, 0.007141f, 0.009514f, 0.012398f,
		0.016678f, 0.023331f, 0.032776f, 0.047363f, 0.071594f, 0.112610f, 0.183960f, 0.303711f, 0.470215f, 0.639648f, 0.766113f, 0.844727f,
		0.892090f, 0.921875f, 0.941895f, 0.954590f, 0.963379f, 0.970215f, 0.975098f, 0.979004f, 0.981934f, 0.984863f, 0.986328f, 0.987793f,
		0.989746f, 0.991211f, 0.991699f, 0.992676f, 0.993652f, 0.994141f, 0.994629f, 0.995117f, 0.995605f, 0.995605f, 0.996094f, 0.996094f,
		0.996582f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.999512f, 0.999512f,
		0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000244f, 0.000244f, 0.000727f, 0.000803f, 0.001575f, 0.002035f, 0.002821f, 0.003527f,
		0.004475f, 0.005421f, 0.007023f, 0.009491f, 0.011879f, 0.015976f, 0.021530f, 0.029587f, 0.041809f, 0.061737f, 0.094360f, 0.150146f,
		0.246460f, 0.393066f, 0.566406f, 0.712891f, 0.812500f, 0.872070f, 0.909180f, 0.933105f, 0.948242f, 0.959961f, 0.967773f, 0.972656f,
		0.977539f, 0.980957f, 0.982910f, 0.986328f, 0.987305f, 0.988770f, 0.989746f, 0.991211f, 0.992188f, 0.993164f, 0.993652f, 0.994629f,
		0.994629f, 0.995117f, 0.995605f, 0.996094f, 0.996094f, 0.996582f, 0.997070f, 0.997559f, 0.997559f, 0.997559f, 0.998047f, 0.998535f,
		0.998535f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000244f, 0.000244f, 0.000471f, 0.000727f,
		0.000967f, 0.001572f, 0.002161f, 0.002680f, 0.003246f, 0.004337f, 0.005241f, 0.006950f, 0.009087f, 0.011497f, 0.015038f, 0.019913f,
		0.026688f, 0.037537f, 0.054352f, 0.080383f, 0.125122f, 0.202515f, 0.327148f, 0.493652f, 0.656250f, 0.774414f, 0.849609f, 0.895508f,
		0.923828f, 0.942383f, 0.954590f, 0.963867f, 0.971191f, 0.975586f, 0.979004f, 0.982422f, 0.984863f, 0.987305f, 0.988281f, 0.989746f,
		0.990723f, 0.992188f, 0.992676f, 0.993652f, 0.994141f, 0.995117f, 0.995117f, 0.995605f, 0.996094f, 0.996582f, 0.996582f, 0.997070f,
		0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.999512f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999023f,
		0.000121f, 0.000244f, 0.000244f, 0.000715f, 0.001089f, 0.001278f, 0.001781f, 0.002275f, 0.002548f, 0.003334f, 0.004150f, 0.005314f,
		0.006824f, 0.008430f, 0.011200f, 0.014145f, 0.018631f, 0.024750f, 0.033905f, 0.047760f, 0.069885f, 0.106445f, 0.169312f, 0.273682f,
		0.426270f, 0.596191f, 0.732422f, 0.823242f, 0.879883f, 0.914062f, 0.936035f, 0.950684f, 0.960938f, 0.968750f, 0.973633f, 0.978516f,
		0.981934f, 0.984375f, 0.986328f, 0.988281f, 0.989258f, 0.990234f, 0.991699f, 0.992676f, 0.993652f, 0.994141f, 0.994629f, 0.995117f,
		0.995605f, 0.995605f, 0.996094f, 0.996582f, 0.997070f, 0.997559f, 0.997559f, 0.997559f, 0.998047f, 0.998535f, 0.999023f, 0.999512f,
		0.999023f, 0.999512f, 0.999512f, 0.999023f, 0.000241f, 0.000244f, 0.000365f, 0.000600f, 0.000961f, 0.000972f, 0.001621f, 0.001697f,
		0.002274f, 0.002684f, 0.003359f, 0.004238f, 0.005573f, 0.006691f, 0.008057f, 0.010529f, 0.013832f, 0.017593f, 0.022812f, 0.031174f,
		0.042786f, 0.061462f, 0.092407f, 0.143799f, 0.231201f, 0.366943f, 0.535645f, 0.688477f, 0.794922f, 0.861816f, 0.902832f, 0.928711f,
		0.945801f, 0.957520f, 0.966797f, 0.972656f, 0.976562f, 0.980469f, 0.983398f, 0.985840f, 0.987793f, 0.989258f, 0.990234f, 0.991699f,
		0.992676f, 0.993164f, 0.994141f, 0.994629f, 0.995117f, 0.995605f, 0.995605f, 0.996094f, 0.997070f, 0.997070f, 0.997559f, 0.997559f,
		0.998047f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.000000f, 0.000243f, 0.000365f, 0.000365f,
		0.000798f, 0.000968f, 0.001249f, 0.001528f, 0.001798f, 0.002457f, 0.002798f, 0.003494f, 0.004353f, 0.005306f, 0.006363f, 0.008141f,
		0.010147f, 0.012596f, 0.016006f, 0.021423f, 0.028503f, 0.039185f, 0.055420f, 0.081116f, 0.124390f, 0.198120f, 0.316895f, 0.478516f,
		0.641113f, 0.763672f, 0.842773f, 0.891113f, 0.921387f, 0.941406f, 0.954590f, 0.963867f, 0.970215f, 0.975586f, 0.979492f, 0.982910f,
		0.985352f, 0.987305f, 0.988770f, 0.989746f, 0.991211f, 0.992188f, 0.993164f, 0.993652f, 0.994141f, 0.994629f, 0.995117f, 0.995605f,
		0.996582f, 0.996582f, 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f,
		0.000000f, 0.000238f, 0.000365f, 0.000365f, 0.000598f, 0.000820f, 0.001200f, 0.001279f, 0.001631f, 0.001736f, 0.002172f, 0.002874f,
		0.003576f, 0.004391f, 0.005096f, 0.006176f, 0.007545f, 0.009674f, 0.012505f, 0.015945f, 0.020187f, 0.026550f, 0.035706f, 0.049835f,
		0.072510f, 0.109253f, 0.171631f, 0.275391f, 0.426514f, 0.594238f, 0.730469f, 0.822754f, 0.877930f, 0.913574f, 0.936523f, 0.951172f,
		0.961426f, 0.969727f, 0.974609f, 0.978027f, 0.982422f, 0.984863f, 0.986816f, 0.988770f, 0.989746f, 0.991699f, 0.992188f, 0.993164f,
		0.993652f, 0.994629f, 0.994629f, 0.995117f, 0.996094f, 0.996094f, 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.999023f, 0.999023f,
		0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.000000f, 0.000000f, 0.000364f, 0.000486f, 0.000487f, 0.000562f, 0.000822f, 0.000967f,
		0.001213f, 0.001871f, 0.001803f, 0.002485f, 0.002796f, 0.003410f, 0.004242f, 0.005070f, 0.006153f, 0.007698f, 0.009262f, 0.011635f,
		0.014709f, 0.019104f, 0.024521f, 0.033295f, 0.045746f, 0.065674f, 0.096741f, 0.150635f, 0.241455f, 0.380127f, 0.548828f, 0.698242f,
		0.802246f, 0.867188f, 0.906738f, 0.931152f, 0.948242f, 0.959473f, 0.967285f, 0.973633f, 0.978516f, 0.981445f, 0.984375f, 0.986328f,
		0.988281f, 0.989258f, 0.990723f, 0.992188f, 0.993164f, 0.993652f, 0.994629f, 0.994629f, 0.995117f, 0.996094f, 0.996582f, 0.996582f,
		0.997559f, 0.997559f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.000000f, 0.000000f, 0.000350f, 0.000483f,
		0.000486f, 0.000604f, 0.000743f, 0.001093f, 0.001187f, 0.001297f, 0.001601f, 0.001921f, 0.002501f, 0.002922f, 0.003296f, 0.004200f,
		0.005211f, 0.006054f, 0.007603f, 0.008904f, 0.011169f, 0.014091f, 0.017685f, 0.023331f, 0.030991f, 0.042358f, 0.059326f, 0.087646f,
		0.134521f, 0.213867f, 0.341309f, 0.506348f, 0.665039f, 0.780762f, 0.854492f, 0.899414f, 0.927246f, 0.945312f, 0.957520f, 0.966309f,
		0.973145f, 0.977539f, 0.981445f, 0.984375f, 0.986328f, 0.988770f, 0.989746f, 0.991211f, 0.992188f, 0.993164f, 0.993652f, 0.994629f,
		0.995117f, 0.995605f, 0.996094f, 0.996582f, 0.997070f, 0.997070f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f,
		0.000000f, 0.000000f, 0.000120f, 0.000360f, 0.000485f, 0.000486f, 0.000487f, 0.000604f, 0.000947f, 0.001201f, 0.001374f, 0.001715f,
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		0.042664f, 0.057068f, 0.080139f, 0.113586f, 0.165894f, 0.243164f, 0.352051f, 0.481934f, 0.610840f, 0.716309f, 0.793945f, 0.847168f,
		0.884766f, 0.910645f, 0.928223f, 0.942383f, 0.952637f, 0.959961f, 0.965332f, 0.970703f, 0.975098f, 0.978027f, 0.980957f, 0.983398f,
		0.984863f, 0.986816f, 0.988281f, 0.989258f, 0.990723f, 0.991211f, 0.992188f, 0.992676f, 0.993164f, 0.993652f, 0.994629f, 0.995117f,
		0.995605f, 0.996094f, 0.996094f, 0.996582f, 0.997559f, 0.997070f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f,
		0.000000f, 0.000608f, 0.000952f, 0.001111f, 0.001660f, 0.002102f, 0.002817f, 0.003517f, 0.004742f, 0.005585f, 0.007080f, 0.008980f,
		0.011078f, 0.014191f, 0.017838f, 0.022614f, 0.029404f, 0.038940f, 0.052551f, 0.071533f, 0.100769f, 0.145020f, 0.211548f, 0.307373f,
		0.430176f, 0.561523f, 0.676758f, 0.764648f, 0.828613f, 0.872070f, 0.900879f, 0.921875f, 0.937012f, 0.948730f, 0.957520f, 0.964355f,
		0.969238f, 0.973633f, 0.977539f, 0.979980f, 0.982422f, 0.984863f, 0.986328f, 0.987793f, 0.988770f, 0.990234f, 0.991211f, 0.991699f,
		0.992676f, 0.993652f, 0.994141f, 0.994629f, 0.994629f, 0.995605f, 0.996094f, 0.996582f, 0.997070f, 0.997070f, 0.999023f, 0.999023f,
		0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.000244f, 0.000576f, 0.000727f, 0.001083f, 0.001186f, 0.001810f, 0.002558f, 0.002968f,
		0.003725f, 0.004913f, 0.005955f, 0.007011f, 0.008759f, 0.010918f, 0.013718f, 0.016953f, 0.021423f, 0.027832f, 0.035980f, 0.047913f,
		0.064941f, 0.090332f, 0.128174f, 0.185791f, 0.270264f, 0.384033f, 0.514160f, 0.638184f, 0.736328f, 0.807617f, 0.856934f, 0.891602f,
		0.915039f, 0.932617f, 0.945801f, 0.954102f, 0.962402f, 0.968262f, 0.972168f, 0.976562f, 0.979492f, 0.981445f, 0.983887f, 0.985840f,
		0.987305f, 0.988281f, 0.990234f, 0.990723f, 0.992188f, 0.992676f, 0.993164f, 0.994141f, 0.994629f, 0.995117f, 0.995605f, 0.996094f,
		0.996582f, 0.997070f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.000000f, 0.000244f, 0.000708f, 0.000903f,
		0.001129f, 0.001511f, 0.002031f, 0.002565f, 0.003189f, 0.004112f, 0.004696f, 0.005989f, 0.006954f, 0.008865f, 0.010826f, 0.013031f,
		0.016312f, 0.020493f, 0.026154f, 0.033966f, 0.044159f, 0.059845f, 0.081665f, 0.114929f, 0.164917f, 0.239624f, 0.343750f, 0.469971f,
		0.598145f, 0.706055f, 0.786133f, 0.842773f, 0.881348f, 0.908203f, 0.927246f, 0.941895f, 0.952148f, 0.959961f, 0.966797f, 0.971191f,
		0.976074f, 0.978516f, 0.981445f, 0.983887f, 0.985352f, 0.987305f, 0.988281f, 0.989258f, 0.990723f, 0.991699f, 0.992676f, 0.993652f,
		0.994141f, 0.994629f, 0.995605f, 0.996094f, 0.996094f, 0.996582f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f,
		0.000122f, 0.000244f, 0.000482f, 0.000674f, 0.001029f, 0.001440f, 0.001746f, 0.002153f, 0.002804f, 0.003206f, 0.003859f, 0.004948f,
		0.005722f, 0.007206f, 0.008568f, 0.010498f, 0.012413f, 0.015793f, 0.019989f, 0.024826f, 0.031799f, 0.041382f, 0.054932f, 0.074768f,
		0.103882f, 0.147949f, 0.213867f, 0.308838f, 0.429932f, 0.560059f, 0.675781f, 0.765625f, 0.827148f, 0.871582f, 0.901367f, 0.923340f,
		0.937988f, 0.949707f, 0.958496f, 0.965820f, 0.969727f, 0.974609f, 0.978027f, 0.980469f, 0.983398f, 0.985840f, 0.986816f, 0.988281f,
		0.989258f, 0.990723f, 0.992188f, 0.992676f, 0.993652f, 0.994141f, 0.994629f, 0.995117f, 0.995605f, 0.996582f, 0.998535f, 0.998535f,
		0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.000244f, 0.000244f, 0.000363f, 0.000604f, 0.000834f, 0.001020f, 0.001548f, 0.001970f,
		0.002262f, 0.002548f, 0.003157f, 0.003914f, 0.004681f, 0.005962f, 0.006943f, 0.008263f, 0.010277f, 0.012589f, 0.015144f, 0.018951f,
		0.023788f, 0.030014f, 0.039001f, 0.051056f, 0.069092f, 0.094666f, 0.133911f, 0.192993f, 0.279053f, 0.394287f, 0.524414f, 0.646484f,
		0.743652f, 0.812988f, 0.861328f, 0.895020f, 0.917969f, 0.935547f, 0.947754f, 0.957520f, 0.963867f, 0.969238f, 0.974121f, 0.978027f,
		0.980469f, 0.983398f, 0.984863f, 0.987305f, 0.988281f, 0.989258f, 0.990723f, 0.991699f, 0.992676f, 0.993652f, 0.994141f, 0.994629f,
		0.995117f, 0.996094f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.000118f, 0.000244f, 0.000244f, 0.000584f,
		0.000837f, 0.000847f, 0.001295f, 0.001681f, 0.002018f, 0.002348f, 0.003014f, 0.003157f, 0.004124f, 0.004547f, 0.005432f, 0.006607f,
		0.008163f, 0.010071f, 0.011925f, 0.014786f, 0.017990f, 0.022659f, 0.028824f, 0.036621f, 0.047882f, 0.063477f, 0.087158f, 0.122559f,
		0.175781f, 0.254639f, 0.363037f, 0.492188f, 0.618652f, 0.722168f, 0.799805f, 0.852051f, 0.889648f, 0.914551f, 0.932129f, 0.944824f,
		0.955078f, 0.962891f, 0.968262f, 0.973633f, 0.977051f, 0.980469f, 0.982910f, 0.984863f, 0.987305f, 0.988281f, 0.990234f, 0.991211f,
		0.992188f, 0.993164f, 0.993652f, 0.994141f, 0.995117f, 0.995605f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f,
		0.000242f, 0.000243f, 0.000243f, 0.000481f, 0.000742f, 0.000843f, 0.000969f, 0.001348f, 0.001726f, 0.001791f, 0.002348f, 0.002853f,
		0.003452f, 0.003735f, 0.004757f, 0.005516f, 0.006744f, 0.008102f, 0.009621f, 0.011948f, 0.014320f, 0.017365f, 0.021698f, 0.027298f,
		0.034546f, 0.044891f, 0.059875f, 0.081055f, 0.112915f, 0.161255f, 0.234009f, 0.335693f, 0.462646f, 0.592285f, 0.702637f, 0.785645f,
		0.843750f, 0.883301f, 0.911133f, 0.929688f, 0.944336f, 0.954590f, 0.961914f, 0.967773f, 0.973633f, 0.977539f, 0.980469f, 0.982910f,
		0.985352f, 0.986816f, 0.988770f, 0.990234f, 0.991211f, 0.992188f, 0.993164f, 0.993652f, 0.994629f, 0.995117f, 0.998047f, 0.998535f,
		0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.000100f, 0.000216f, 0.000243f, 0.000365f, 0.000517f, 0.000836f, 0.000964f, 0.001148f,
		0.001472f, 0.001674f, 0.001785f, 0.002438f, 0.002815f, 0.003490f, 0.004070f, 0.004837f, 0.005608f, 0.006630f, 0.008095f, 0.009483f,
		0.011551f, 0.013847f, 0.016953f, 0.020584f, 0.025879f, 0.033051f, 0.042664f, 0.055817f, 0.075500f, 0.105103f, 0.149536f, 0.216553f,
		0.312988f, 0.436768f, 0.568359f, 0.685059f, 0.773926f, 0.835449f, 0.878418f, 0.907227f, 0.927734f, 0.943359f, 0.953125f, 0.962402f,
		0.967285f, 0.973145f, 0.977051f, 0.980469f, 0.983887f, 0.985352f, 0.987305f, 0.989258f, 0.990234f, 0.991699f, 0.992188f, 0.993164f,
		0.994141f, 0.994629f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.000000f, 0.000150f, 0.000242f, 0.000364f,
		0.000441f, 0.000627f, 0.000916f, 0.000959f, 0.000968f, 0.001463f, 0.001671f, 0.002222f, 0.002577f, 0.002714f, 0.003479f, 0.004208f,
		0.004723f, 0.005669f, 0.006886f, 0.007637f, 0.009315f, 0.011154f, 0.013596f, 0.016205f, 0.019821f, 0.024963f, 0.031250f, 0.040375f,
		0.053009f, 0.071167f, 0.098511f, 0.139648f, 0.202271f, 0.293457f, 0.414307f, 0.548340f, 0.669434f, 0.762695f, 0.829590f, 0.874512f,
		0.904785f, 0.926758f, 0.941895f, 0.953613f, 0.961914f, 0.968262f, 0.973633f, 0.977539f, 0.980957f, 0.983398f, 0.985352f, 0.987793f,
		0.989258f, 0.990234f, 0.991211f, 0.992188f, 0.993164f, 0.994629f, 0.998047f, 0.998535f, 0.998047f, 0.998047f, 0.998047f, 0.998047f,
		0.000000f, 0.000231f, 0.000232f, 0.000363f, 0.000486f, 0.000503f, 0.000724f, 0.001104f, 0.001080f, 0.001271f, 0.001509f, 0.001976f,
		0.002247f, 0.002476f, 0.002895f, 0.003553f, 0.004192f, 0.004871f, 0.005623f, 0.006332f, 0.007584f, 0.008957f, 0.010849f, 0.012917f,
		0.015396f, 0.019226f, 0.023941f, 0.030060f, 0.038513f, 0.050385f, 0.067627f, 0.093140f, 0.131714f, 0.190674f, 0.278076f, 0.395752f,
		0.530273f, 0.655762f, 0.753906f, 0.823242f, 0.870605f, 0.903320f, 0.925781f, 0.941406f, 0.953125f, 0.961914f, 0.969238f, 0.974121f,
		0.978027f, 0.980957f, 0.983887f, 0.985840f, 0.988281f, 0.989258f, 0.990723f, 0.991699f, 0.992676f, 0.993652f, 0.997559f, 0.998047f,
		0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.000000f, 0.000009f, 0.000116f, 0.000360f, 0.000484f, 0.000485f, 0.000536f, 0.000827f,
		0.000935f, 0.001077f, 0.001204f, 0.001561f, 0.001974f, 0.002136f, 0.002777f, 0.002964f, 0.003517f, 0.004192f, 0.004711f, 0.005505f,
		0.006283f, 0.007408f, 0.008713f, 0.010674f, 0.012375f, 0.015099f, 0.018677f, 0.022797f, 0.028732f, 0.036835f, 0.047974f, 0.064270f,
		0.088318f, 0.124634f, 0.180664f, 0.264893f, 0.380615f, 0.516113f, 0.645020f, 0.747559f, 0.819824f, 0.870117f, 0.902344f, 0.925293f,
		0.941406f, 0.953613f, 0.962402f, 0.969238f, 0.974121f, 0.978027f, 0.981934f, 0.984375f, 0.986328f, 0.988281f, 0.989746f, 0.990723f,
		0.992676f, 0.993164f, 0.997559f, 0.998047f, 0.998047f, 0.997559f, 0.998047f, 0.998047f, 0.000000f, 0.000000f, 0.000074f, 0.000337f,
		0.000481f, 0.000484f, 0.000485f, 0.000556f, 0.000823f, 0.001143f, 0.001187f, 0.001391f, 0.001781f, 0.002155f, 0.002327f, 0.002760f,
		0.003008f, 0.003433f, 0.004101f, 0.004681f, 0.005417f, 0.006443f, 0.007393f, 0.008560f, 0.010345f, 0.012177f, 0.014496f, 0.018127f,
		0.022125f, 0.027740f, 0.035736f, 0.046173f, 0.061920f, 0.084717f, 0.119324f, 0.173218f, 0.254883f, 0.368652f, 0.505371f, 0.637207f,
		0.742676f, 0.818359f, 0.868164f, 0.902832f, 0.925781f, 0.942383f, 0.953613f, 0.963379f, 0.970215f, 0.975098f, 0.979004f, 0.982422f,
		0.984863f, 0.986328f, 0.988770f, 0.990723f, 0.991699f, 0.992676f, 0.997070f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.997559f,
		0.000000f, 0.000000f, 0.000000f, 0.000188f, 0.000358f, 0.000481f, 0.000484f, 0.000484f, 0.000704f, 0.000852f, 0.001165f, 0.001316f,
		0.001500f, 0.001685f, 0.001933f, 0.002079f, 0.002720f, 0.003136f, 0.003727f, 0.003723f, 0.004513f, 0.005207f, 0.006275f, 0.007236f,
		0.008453f, 0.010056f, 0.011848f, 0.014191f, 0.017212f, 0.021652f, 0.026978f, 0.034241f, 0.044678f, 0.058990f, 0.081421f, 0.114929f,
		0.167236f, 0.247070f, 0.360596f, 0.498291f, 0.632812f, 0.741211f, 0.818359f, 0.869629f, 0.903809f, 0.927734f, 0.943848f, 0.955566f,
		0.964355f, 0.970703f, 0.976074f, 0.979492f, 0.982422f, 0.985840f, 0.987793f, 0.989258f, 0.990723f, 0.992188f, 0.997070f, 0.997559f,
		0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.000000f, 0.000000f, 0.000121f, 0.000120f, 0.000288f, 0.000357f, 0.000479f, 0.000483f,
		0.000535f, 0.000711f, 0.000862f, 0.001256f, 0.001351f, 0.001502f, 0.001719f, 0.002146f, 0.002037f, 0.002653f, 0.003248f, 0.003222f,
		0.003820f, 0.004456f, 0.005173f, 0.006008f, 0.007072f, 0.008247f, 0.009758f, 0.011826f, 0.013771f, 0.016861f, 0.020935f, 0.025986f,
		0.032928f, 0.043030f, 0.057587f, 0.078918f, 0.111755f, 0.162964f, 0.241943f, 0.355713f, 0.495117f, 0.632324f, 0.742676f, 0.819336f,
		0.871582f, 0.905762f, 0.929688f, 0.945312f, 0.957031f, 0.965332f, 0.972168f, 0.976562f, 0.980957f, 0.983887f, 0.986328f, 0.988281f,
		0.990234f, 0.991699f, 0.997070f, 0.997559f, 0.997070f, 0.997559f, 0.997559f, 0.997559f, 0.000000f, 0.000000f, 0.000000f, 0.000121f,
		0.000200f, 0.000412f, 0.000471f, 0.000599f, 0.000598f, 0.000596f, 0.000805f, 0.001099f, 0.001334f, 0.001417f, 0.001456f, 0.001723f,
		0.002102f, 0.002283f, 0.002579f, 0.003208f, 0.003233f, 0.003740f, 0.004574f, 0.005287f, 0.006012f, 0.006870f, 0.008018f, 0.009354f,
		0.011208f, 0.013542f, 0.016495f, 0.020370f, 0.025284f, 0.032410f, 0.041901f, 0.056183f, 0.077087f, 0.109558f, 0.160278f, 0.239380f,
		0.354492f, 0.496094f, 0.635254f, 0.747070f, 0.823730f, 0.875488f, 0.908691f, 0.931641f, 0.947266f, 0.958008f, 0.966309f, 0.972656f,
		0.978027f, 0.981445f, 0.984863f, 0.986816f, 0.989258f, 0.990723f, 0.996582f, 0.997070f, 0.997070f, 0.997070f, 0.997070f, 0.997070f,
		0.000000f, 0.000000f, 0.000000f, 0.000117f, 0.000237f, 0.000239f, 0.000430f, 0.000465f, 0.000599f, 0.000724f, 0.000716f, 0.000815f,
		0.000981f, 0.001334f, 0.001299f, 0.001545f, 0.001617f, 0.001935f, 0.002110f, 0.002501f, 0.002823f, 0.003408f, 0.003790f, 0.004467f,
		0.005112f, 0.005848f, 0.006718f, 0.007942f, 0.009514f, 0.011093f, 0.013092f, 0.015945f, 0.019608f, 0.024689f, 0.031494f, 0.041046f,
		0.054901f, 0.075989f, 0.108032f, 0.158936f, 0.239014f, 0.356201f, 0.500488f, 0.642090f, 0.753418f, 0.830566f, 0.880859f, 0.912598f,
		0.935059f, 0.950195f, 0.960449f, 0.968262f, 0.975098f, 0.979980f, 0.982910f, 0.985352f, 0.987793f, 0.990234f, 0.996582f, 0.997070f,
		0.997070f, 0.996582f, 0.997070f, 0.996582f, 0.000000f, 0.000000f, 0.000000f, 0.000117f, 0.000120f, 0.000121f, 0.000312f, 0.000407f,
		0.000707f, 0.000597f, 0.000648f, 0.000720f, 0.000941f, 0.001008f, 0.001229f, 0.001289f, 0.001423f, 0.001726f, 0.002060f, 0.002211f,
		0.002506f, 0.002985f, 0.003036f, 0.003683f, 0.004066f, 0.004833f, 0.005592f, 0.006611f, 0.007675f, 0.008965f, 0.010811f, 0.012833f,
		0.015854f, 0.019485f, 0.024429f, 0.031036f, 0.040466f, 0.054108f, 0.074890f, 0.107727f, 0.159180f, 0.241699f, 0.362549f, 0.510742f,
		0.653809f, 0.763184f, 0.837891f, 0.887207f, 0.917480f, 0.938477f, 0.953613f, 0.962891f, 0.970703f, 0.976562f, 0.980469f, 0.984375f,
		0.986816f, 0.988770f, 0.996094f, 0.996582f, 0.996582f, 0.996582f, 0.996582f, 0.996582f, 0.000000f, 0.000000f, 0.000000f, 0.000117f,
		0.000118f, 0.000120f, 0.000129f, 0.000434f, 0.000536f, 0.000613f, 0.000716f, 0.000799f, 0.000720f, 0.000768f, 0.001024f, 0.001202f,
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		0.006313f, 0.007309f, 0.008720f, 0.010712f, 0.012657f, 0.015472f, 0.018982f, 0.023697f, 0.030579f, 0.040009f, 0.054138f, 0.075012f,
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		0.982910f, 0.982910f, 0.982910f, 0.982910f, 0.000122f, 0.000000f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f,
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		0.000000f, 0.000121f, 0.000120f, 0.000121f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000120f,
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		0.999512f, 0.999512f, 0.999512f, 0.999023f, 0.001086f, 0.003477f, 0.006756f, 0.011604f, 0.018066f, 0.027222f, 0.039978f, 0.059448f,
		0.088257f, 0.132690f, 0.198120f, 0.291504f, 0.408447f, 0.531250f, 0.641602f, 0.728516f, 0.793457f, 0.839844f, 0.873047f, 0.896973f,
		0.915527f, 0.929199f, 0.939941f, 0.948730f, 0.955566f, 0.960938f, 0.965332f, 0.969238f, 0.972168f, 0.975098f, 0.977539f, 0.979492f,
		0.981445f, 0.983398f, 0.984375f, 0.985840f, 0.986816f, 0.988281f, 0.989258f, 0.989746f, 0.990723f, 0.991699f, 0.992188f, 0.993164f,
		0.993652f, 0.994141f, 0.994629f, 0.994629f, 0.995605f, 0.995605f, 0.996094f, 0.996094f, 0.996582f, 0.996582f, 0.997559f, 0.997559f,
		0.997559f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.000982f, 0.002764f, 0.004925f, 0.008194f,
		0.012703f, 0.018417f, 0.026154f, 0.037964f, 0.053894f, 0.078552f, 0.113770f, 0.166626f, 0.242310f, 0.343262f, 0.460449f, 0.576660f,
		0.675293f, 0.753418f, 0.809570f, 0.851074f, 0.879883f, 0.902344f, 0.919434f, 0.931152f, 0.941895f, 0.950195f, 0.956055f, 0.960938f,
		0.965820f, 0.969727f, 0.973145f, 0.976074f, 0.978027f, 0.980469f, 0.981934f, 0.983887f, 0.985352f, 0.986328f, 0.987793f, 0.988770f,
		0.989746f, 0.990234f, 0.991211f, 0.991699f, 0.992676f, 0.993164f, 0.993652f, 0.994141f, 0.994629f, 0.995117f, 0.995605f, 0.996094f,
		0.996094f, 0.996582f, 0.996582f, 0.997559f, 0.997559f, 0.998047f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f,
		0.000723f, 0.002268f, 0.003639f, 0.006371f, 0.009392f, 0.013046f, 0.018570f, 0.026016f, 0.035919f, 0.049957f, 0.070618f, 0.099609f,
		0.142212f, 0.204590f, 0.290039f, 0.396973f, 0.512207f, 0.619141f, 0.707520f, 0.775391f, 0.825195f, 0.860352f, 0.887207f, 0.907715f,
		0.923340f, 0.935547f, 0.944824f, 0.951660f, 0.958496f, 0.963379f, 0.967773f, 0.971191f, 0.974121f, 0.977051f, 0.979492f, 0.980957f,
		0.982910f, 0.984375f, 0.985352f, 0.987305f, 0.988281f, 0.989258f, 0.989746f, 0.990723f, 0.991699f, 0.992188f, 0.993164f, 0.993164f,
		0.994141f, 0.994629f, 0.994629f, 0.995117f, 0.995605f, 0.996094f, 0.996582f, 0.997070f, 0.997559f, 0.997559f, 0.999023f, 0.999023f,
		0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.000364f, 0.001690f, 0.003056f, 0.004982f, 0.007217f, 0.010124f, 0.013931f, 0.018738f,
		0.025177f, 0.034332f, 0.045990f, 0.063599f, 0.088501f, 0.124146f, 0.175781f, 0.248047f, 0.341797f, 0.451416f, 0.562012f, 0.659668f,
		0.738281f, 0.797852f, 0.841797f, 0.872559f, 0.896484f, 0.914062f, 0.928711f, 0.938477f, 0.947266f, 0.954590f, 0.959473f, 0.964844f,
		0.969238f, 0.972168f, 0.975098f, 0.977539f, 0.979980f, 0.981934f, 0.983398f, 0.985352f, 0.986816f, 0.987793f, 0.988770f, 0.989746f,
		0.990723f, 0.991211f, 0.992188f, 0.993164f, 0.993652f, 0.994141f, 0.994629f, 0.995117f, 0.995117f, 0.995605f, 0.996094f, 0.996582f,
		0.997070f, 0.997070f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.000365f, 0.001221f, 0.002531f, 0.003979f,
		0.005829f, 0.007874f, 0.010475f, 0.013962f, 0.018402f, 0.024368f, 0.032257f, 0.042847f, 0.057983f, 0.079346f, 0.109375f, 0.153198f,
		0.214233f, 0.295898f, 0.397705f, 0.506836f, 0.609863f, 0.698730f, 0.767578f, 0.817871f, 0.854980f, 0.883301f, 0.903809f, 0.920410f,
		0.933105f, 0.942871f, 0.950195f, 0.957031f, 0.962402f, 0.966797f, 0.970703f, 0.973633f, 0.976562f, 0.979004f, 0.981445f, 0.982910f,
		0.984375f, 0.985840f, 0.986816f, 0.988281f, 0.989746f, 0.989746f, 0.991211f, 0.992188f, 0.992676f, 0.993164f, 0.993652f, 0.994141f,
		0.994629f, 0.995117f, 0.995605f, 0.996094f, 0.996582f, 0.997070f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f,
		0.000343f, 0.001357f, 0.002039f, 0.003130f, 0.004398f, 0.006432f, 0.008141f, 0.010925f, 0.014008f, 0.018326f, 0.023331f, 0.030655f,
		0.040558f, 0.053680f, 0.071960f, 0.098206f, 0.134644f, 0.187012f, 0.258057f, 0.349854f, 0.455566f, 0.562012f, 0.656738f, 0.734863f,
		0.792969f, 0.836914f, 0.868652f, 0.894043f, 0.912598f, 0.926758f, 0.937988f, 0.947266f, 0.954590f, 0.960449f, 0.964355f, 0.968750f,
		0.972656f, 0.975586f, 0.978027f, 0.980469f, 0.981934f, 0.983398f, 0.985840f, 0.986816f, 0.988281f, 0.989258f, 0.990723f, 0.990723f,
		0.991699f, 0.992676f, 0.993164f, 0.994141f, 0.994629f, 0.995117f, 0.995605f, 0.996094f, 0.996582f, 0.996582f, 0.998535f, 0.998535f,
		0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.000244f, 0.001185f, 0.001561f, 0.002504f, 0.003990f, 0.005272f, 0.006573f, 0.008606f,
		0.010933f, 0.013878f, 0.017715f, 0.022415f, 0.029068f, 0.038086f, 0.049774f, 0.066162f, 0.088257f, 0.120361f, 0.164917f, 0.227173f,
		0.308838f, 0.407959f, 0.515137f, 0.615723f, 0.700684f, 0.767090f, 0.817383f, 0.854492f, 0.882812f, 0.904297f, 0.920898f, 0.932617f,
		0.943359f, 0.951172f, 0.957520f, 0.962891f, 0.967773f, 0.971191f, 0.974121f, 0.977539f, 0.979492f, 0.981445f, 0.983887f, 0.985352f,
		0.986816f, 0.988281f, 0.988770f, 0.989258f, 0.990723f, 0.991699f, 0.992188f, 0.993164f, 0.993652f, 0.994141f, 0.995117f, 0.995605f,
		0.995605f, 0.996582f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.000243f, 0.000847f, 0.001555f, 0.002224f,
		0.003141f, 0.004093f, 0.005264f, 0.006817f, 0.008850f, 0.010948f, 0.014053f, 0.017456f, 0.022339f, 0.028351f, 0.036011f, 0.046326f,
		0.060791f, 0.080444f, 0.107788f, 0.146851f, 0.201660f, 0.274658f, 0.366699f, 0.470215f, 0.574707f, 0.666016f, 0.740234f, 0.797363f,
		0.839355f, 0.871094f, 0.895508f, 0.913574f, 0.927734f, 0.938965f, 0.947754f, 0.955566f, 0.960449f, 0.965332f, 0.969727f, 0.973145f,
		0.976074f, 0.979004f, 0.981445f, 0.982910f, 0.984863f, 0.986328f, 0.987305f, 0.988770f, 0.989258f, 0.990723f, 0.991699f, 0.992188f,
		0.993164f, 0.993652f, 0.994141f, 0.994629f, 0.995117f, 0.996094f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f,
		0.000244f, 0.000767f, 0.001042f, 0.001934f, 0.002502f, 0.003588f, 0.004292f, 0.005558f, 0.006824f, 0.008667f, 0.010872f, 0.013802f,
		0.017426f, 0.021637f, 0.027176f, 0.033936f, 0.043304f, 0.056549f, 0.073914f, 0.098083f, 0.132446f, 0.180664f, 0.245239f, 0.330078f,
		0.429199f, 0.533203f, 0.631348f, 0.711914f, 0.775879f, 0.823242f, 0.860352f, 0.886230f, 0.907227f, 0.923340f, 0.935059f, 0.944824f,
		0.952148f, 0.958984f, 0.964844f, 0.968750f, 0.972168f, 0.975586f, 0.978516f, 0.980957f, 0.982422f, 0.983887f, 0.985840f, 0.987305f,
		0.988770f, 0.989746f, 0.990234f, 0.992188f, 0.992676f, 0.992676f, 0.994141f, 0.994141f, 0.995117f, 0.995605f, 0.998047f, 0.998535f,
		0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.000000f, 0.000485f, 0.001062f, 0.001658f, 0.002398f, 0.002998f, 0.003805f, 0.004723f,
		0.006004f, 0.007084f, 0.009102f, 0.011093f, 0.013489f, 0.016876f, 0.020813f, 0.025803f, 0.032257f, 0.040924f, 0.052673f, 0.068298f,
		0.090149f, 0.120239f, 0.162598f, 0.221313f, 0.298096f, 0.392822f, 0.496582f, 0.597656f, 0.684082f, 0.754883f, 0.807617f, 0.848145f,
		0.877930f, 0.900391f, 0.917969f, 0.931641f, 0.941406f, 0.950684f, 0.957031f, 0.962402f, 0.967773f, 0.971680f, 0.974609f, 0.978027f,
		0.980469f, 0.982422f, 0.984375f, 0.985840f, 0.987305f, 0.988281f, 0.989746f, 0.990723f, 0.991699f, 0.992188f, 0.993164f, 0.993652f,
		0.994141f, 0.995117f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.000244f, 0.000477f, 0.000852f, 0.001439f,
		0.002045f, 0.002424f, 0.003101f, 0.004093f, 0.004887f, 0.005989f, 0.007751f, 0.008606f, 0.011002f, 0.013420f, 0.016251f, 0.020035f,
		0.024628f, 0.030579f, 0.039093f, 0.049255f, 0.063599f, 0.083191f, 0.109924f, 0.148071f, 0.200928f, 0.270996f, 0.359863f, 0.461670f,
		0.564453f, 0.656738f, 0.732910f, 0.791992f, 0.836426f, 0.869629f, 0.894531f, 0.913086f, 0.928223f, 0.939453f, 0.949219f, 0.956055f,
		0.961914f, 0.966797f, 0.970703f, 0.975098f, 0.977051f, 0.979492f, 0.982422f, 0.983887f, 0.985352f, 0.987305f, 0.988770f, 0.989746f,
		0.990723f, 0.991699f, 0.992676f, 0.993164f, 0.993652f, 0.994629f, 0.998047f, 0.998535f, 0.998535f, 0.998047f, 0.998047f, 0.998535f,
		0.000242f, 0.000650f, 0.000847f, 0.001138f, 0.001621f, 0.002239f, 0.002527f, 0.003325f, 0.004227f, 0.005165f, 0.006462f, 0.007389f,
		0.008904f, 0.011024f, 0.013130f, 0.015915f, 0.019272f, 0.023819f, 0.029205f, 0.036652f, 0.046417f, 0.059418f, 0.077209f, 0.101562f,
		0.136230f, 0.183350f, 0.248047f, 0.331055f, 0.429688f, 0.533203f, 0.630859f, 0.711426f, 0.776367f, 0.824219f, 0.861328f, 0.887695f,
		0.908691f, 0.924805f, 0.937500f, 0.946777f, 0.954102f, 0.960938f, 0.966309f, 0.970215f, 0.974121f, 0.977539f, 0.979492f, 0.981934f,
		0.983887f, 0.985840f, 0.987305f, 0.989258f, 0.989746f, 0.990723f, 0.991211f, 0.992676f, 0.993164f, 0.994141f, 0.997559f, 0.998047f,
		0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.000089f, 0.000243f, 0.000827f, 0.000964f, 0.001418f, 0.001579f, 0.002296f, 0.002914f,
		0.003632f, 0.004280f, 0.005344f, 0.006130f, 0.007545f, 0.008949f, 0.010498f, 0.012733f, 0.015686f, 0.018646f, 0.023010f, 0.028229f,
		0.034851f, 0.044098f, 0.056122f, 0.072388f, 0.094788f, 0.125610f, 0.168945f, 0.228271f, 0.306396f, 0.401123f, 0.504883f, 0.604492f,
		0.691895f, 0.760742f, 0.813477f, 0.853027f, 0.881836f, 0.904297f, 0.921387f, 0.934570f, 0.944824f, 0.953125f, 0.959961f, 0.964844f,
		0.969727f, 0.973633f, 0.976562f, 0.979492f, 0.981934f, 0.983887f, 0.986328f, 0.987305f, 0.988281f, 0.989258f, 0.991211f, 0.992188f,
		0.992676f, 0.993652f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.000069f, 0.000461f, 0.000609f, 0.000933f,
		0.001088f, 0.001488f, 0.001900f, 0.002378f, 0.003101f, 0.003687f, 0.004547f, 0.005276f, 0.006233f, 0.007282f, 0.008820f, 0.010239f,
		0.012581f, 0.015312f, 0.018341f, 0.022095f, 0.027344f, 0.034027f, 0.041687f, 0.053467f, 0.067810f, 0.088440f, 0.117126f, 0.156616f,
		0.211426f, 0.284180f, 0.375977f, 0.478760f, 0.581543f, 0.672363f, 0.746094f, 0.802734f, 0.845703f, 0.877441f, 0.900879f, 0.918457f,
		0.933105f, 0.943848f, 0.951660f, 0.959473f, 0.964355f, 0.968750f, 0.974121f, 0.977051f, 0.979492f, 0.982422f, 0.984375f, 0.985840f,
		0.987305f, 0.988770f, 0.990234f, 0.991211f, 0.992188f, 0.993164f, 0.997070f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.997559f,
		0.000244f, 0.000348f, 0.000606f, 0.000737f, 0.001079f, 0.001458f, 0.001783f, 0.002192f, 0.002924f, 0.003231f, 0.003862f, 0.004551f,
		0.005169f, 0.006367f, 0.007381f, 0.008682f, 0.010590f, 0.012199f, 0.014900f, 0.017761f, 0.021530f, 0.026108f, 0.032349f, 0.039642f,
		0.050446f, 0.064392f, 0.083313f, 0.109436f, 0.145996f, 0.197021f, 0.266357f, 0.354248f, 0.455811f, 0.560059f, 0.654785f, 0.732910f,
		0.793457f, 0.837891f, 0.873047f, 0.897461f, 0.917480f, 0.931641f, 0.941895f, 0.951172f, 0.958984f, 0.964844f, 0.969727f, 0.973633f,
		0.977051f, 0.979980f, 0.981934f, 0.984375f, 0.985840f, 0.988281f, 0.989258f, 0.990234f, 0.991211f, 0.992676f, 0.997070f, 0.997559f,
		0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.000244f, 0.000520f, 0.000592f, 0.000720f, 0.000812f, 0.001174f, 0.001500f, 0.001884f,
		0.002178f, 0.002831f, 0.003321f, 0.003885f, 0.004471f, 0.005436f, 0.006275f, 0.007584f, 0.008675f, 0.010521f, 0.012238f, 0.014557f,
		0.017197f, 0.020874f, 0.025467f, 0.030960f, 0.038208f, 0.047821f, 0.061249f, 0.078552f, 0.103149f, 0.136841f, 0.184937f, 0.249878f,
		0.334473f, 0.435059f, 0.539551f, 0.638184f, 0.720215f, 0.784668f, 0.832031f, 0.868164f, 0.894531f, 0.914062f, 0.929688f, 0.942383f,
		0.950684f, 0.958984f, 0.964844f, 0.970215f, 0.974121f, 0.977539f, 0.979980f, 0.982422f, 0.984863f, 0.985840f, 0.988281f, 0.989258f,
		0.990723f, 0.992188f, 0.997070f, 0.997070f, 0.997070f, 0.997070f, 0.997559f, 0.997559f, 0.000000f, 0.000243f, 0.000351f, 0.000603f,
		0.000708f, 0.001079f, 0.001493f, 0.001752f, 0.001936f, 0.002171f, 0.002911f, 0.003382f, 0.003906f, 0.004578f, 0.005222f, 0.006161f,
		0.007362f, 0.008850f, 0.010010f, 0.011971f, 0.014145f, 0.016983f, 0.020477f, 0.024582f, 0.029739f, 0.036804f, 0.045837f, 0.057648f,
		0.074829f, 0.097534f, 0.130127f, 0.174438f, 0.236572f, 0.318604f, 0.416992f, 0.523926f, 0.624023f, 0.709961f, 0.777344f, 0.827148f,
		0.865234f, 0.893066f, 0.914062f, 0.929688f, 0.941406f, 0.951660f, 0.958496f, 0.965820f, 0.969238f, 0.974609f, 0.977539f, 0.980469f,
		0.983398f, 0.985352f, 0.986816f, 0.988281f, 0.989746f, 0.990723f, 0.996582f, 0.997070f, 0.997070f, 0.997070f, 0.997070f, 0.997070f,
		0.000243f, 0.000244f, 0.000456f, 0.000592f, 0.000602f, 0.001025f, 0.001282f, 0.001656f, 0.001856f, 0.002073f, 0.002535f, 0.002768f,
		0.003487f, 0.003822f, 0.004574f, 0.005589f, 0.006519f, 0.007336f, 0.008453f, 0.009911f, 0.011581f, 0.013985f, 0.016373f, 0.019638f,
		0.023819f, 0.028473f, 0.035339f, 0.043945f, 0.055939f, 0.071350f, 0.093140f, 0.123474f, 0.165771f, 0.225342f, 0.304199f, 0.402344f,
		0.509277f, 0.612305f, 0.702148f, 0.771973f, 0.824219f, 0.863281f, 0.891113f, 0.913086f, 0.930176f, 0.942383f, 0.951660f, 0.959473f,
		0.965820f, 0.970215f, 0.974609f, 0.977539f, 0.980957f, 0.983887f, 0.985352f, 0.987305f, 0.988770f, 0.990723f, 0.996582f, 0.996582f,
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		0.035248f, 0.043304f, 0.053711f, 0.066956f, 0.085083f, 0.107727f, 0.138428f, 0.178589f, 0.229980f, 0.293945f, 0.370117f, 0.453369f,
		0.537109f, 0.616699f, 0.685059f, 0.743164f, 0.790039f, 0.826660f, 0.856445f, 0.878906f, 0.897949f, 0.913574f, 0.925293f, 0.935547f,
		0.943848f, 0.951172f, 0.957031f, 0.961914f, 0.966797f, 0.970215f, 0.973145f, 0.976562f, 0.979004f, 0.980469f, 0.982910f, 0.984375f,
		0.985840f, 0.987305f, 0.988770f, 0.989746f, 0.991211f, 0.992188f, 0.996582f, 0.997070f, 0.997070f, 0.997070f, 0.997070f, 0.997070f,
		0.000104f, 0.000719f, 0.001065f, 0.001970f, 0.002544f, 0.003149f, 0.004230f, 0.005138f, 0.006119f, 0.007580f, 0.009201f, 0.010902f,
		0.013260f, 0.015526f, 0.019272f, 0.022858f, 0.027512f, 0.033569f, 0.041199f, 0.050873f, 0.063782f, 0.079895f, 0.101135f, 0.128906f,
		0.165771f, 0.213745f, 0.273193f, 0.345703f, 0.427002f, 0.511719f, 0.592773f, 0.666016f, 0.727051f, 0.776367f, 0.817871f, 0.848633f,
		0.875000f, 0.894531f, 0.909668f, 0.922852f, 0.934082f, 0.942383f, 0.949707f, 0.956055f, 0.961914f, 0.966309f, 0.970215f, 0.973145f,
		0.976562f, 0.978516f, 0.980957f, 0.982910f, 0.984375f, 0.986328f, 0.987305f, 0.988281f, 0.989746f, 0.991211f, 0.996582f, 0.997070f,
		0.997070f, 0.997070f, 0.997070f, 0.997070f, 0.000240f, 0.000686f, 0.001052f, 0.001375f, 0.002308f, 0.002735f, 0.003510f, 0.004269f,
		0.005173f, 0.006649f, 0.007442f, 0.009109f, 0.011246f, 0.012886f, 0.015732f, 0.018829f, 0.022354f, 0.026672f, 0.032867f, 0.039764f,
		0.048492f, 0.060455f, 0.075806f, 0.095276f, 0.121033f, 0.155273f, 0.199097f, 0.255859f, 0.324463f, 0.404053f, 0.488525f, 0.571289f,
		0.646484f, 0.711426f, 0.765625f, 0.808105f, 0.841797f, 0.869141f, 0.890137f, 0.907227f, 0.920898f, 0.931641f, 0.940918f, 0.948730f,
		0.955078f, 0.960449f, 0.965820f, 0.969727f, 0.972656f, 0.976562f, 0.978516f, 0.980957f, 0.982910f, 0.984863f, 0.986328f, 0.987793f,
		0.989746f, 0.990723f, 0.996094f, 0.996582f, 0.996582f, 0.996582f, 0.997070f, 0.997070f, 0.000244f, 0.000597f, 0.000939f, 0.001369f,
		0.001999f, 0.002329f, 0.003105f, 0.003786f, 0.004395f, 0.005413f, 0.006474f, 0.007793f, 0.009254f, 0.010971f, 0.012970f, 0.015526f,
		0.018112f, 0.022049f, 0.026581f, 0.031586f, 0.038666f, 0.046967f, 0.057617f, 0.071777f, 0.089783f, 0.113953f, 0.145264f, 0.186646f,
		0.239990f, 0.305908f, 0.383301f, 0.467285f, 0.551270f, 0.629883f, 0.697266f, 0.754883f, 0.799805f, 0.835938f, 0.864258f, 0.886719f,
		0.905273f, 0.918945f, 0.931152f, 0.940918f, 0.948242f, 0.955078f, 0.961426f, 0.965332f, 0.969727f, 0.973633f, 0.976074f, 0.979004f,
		0.980957f, 0.983398f, 0.984863f, 0.987305f, 0.988281f, 0.989258f, 0.996094f, 0.996094f, 0.996582f, 0.996582f, 0.996582f, 0.996582f,
		0.000000f, 0.000475f, 0.000891f, 0.001390f, 0.001730f, 0.002060f, 0.002501f, 0.003109f, 0.003836f, 0.004837f, 0.005852f, 0.006859f,
		0.007740f, 0.009216f, 0.010918f, 0.012863f, 0.014915f, 0.017731f, 0.021317f, 0.025482f, 0.030930f, 0.037262f, 0.044891f, 0.055115f,
		0.068298f, 0.085510f, 0.107910f, 0.137207f, 0.176025f, 0.226929f, 0.289551f, 0.364746f, 0.447998f, 0.532715f, 0.613770f, 0.685547f,
		0.744629f, 0.791992f, 0.830078f, 0.860352f, 0.884277f, 0.903320f, 0.917969f, 0.930176f, 0.939941f, 0.947754f, 0.954590f, 0.961426f,
		0.966309f, 0.970215f, 0.973145f, 0.976562f, 0.979492f, 0.981445f, 0.983398f, 0.985352f, 0.987793f, 0.988281f, 0.995605f, 0.996094f,
		0.996094f, 0.996582f, 0.996094f, 0.996094f, 0.000102f, 0.000243f, 0.000844f, 0.001124f, 0.001554f, 0.002077f, 0.002098f, 0.002682f,
		0.003357f, 0.004280f, 0.005035f, 0.005764f, 0.006805f, 0.007633f, 0.009354f, 0.010872f, 0.012665f, 0.015099f, 0.017258f, 0.020599f,
		0.024887f, 0.029495f, 0.035522f, 0.042999f, 0.053070f, 0.065125f, 0.081299f, 0.102661f, 0.130371f, 0.166992f, 0.215088f, 0.275635f,
		0.348877f, 0.431641f, 0.517578f, 0.600098f, 0.672852f, 0.735352f, 0.785645f, 0.826172f, 0.856934f, 0.881836f, 0.900879f, 0.916992f,
		0.930176f, 0.940430f, 0.947754f, 0.955078f, 0.960938f, 0.966309f, 0.969238f, 0.973633f, 0.977051f, 0.979492f, 0.981934f, 0.983887f,
		0.986328f, 0.987793f, 0.995605f, 0.996094f, 0.996094f, 0.996094f, 0.996094f, 0.996094f, 0.000241f, 0.000242f, 0.000823f, 0.000956f,
		0.001225f, 0.001549f, 0.002031f, 0.002613f, 0.003124f, 0.003574f, 0.004467f, 0.004955f, 0.005672f, 0.006752f, 0.007603f, 0.009186f,
		0.010704f, 0.012741f, 0.014366f, 0.017487f, 0.020142f, 0.024002f, 0.028915f, 0.034943f, 0.041656f, 0.050964f, 0.062622f, 0.077881f,
		0.097961f, 0.124207f, 0.158936f, 0.204590f, 0.263184f, 0.334961f, 0.416748f, 0.502930f, 0.587891f, 0.664062f, 0.728516f, 0.780762f,
		0.822266f, 0.854492f, 0.879395f, 0.900879f, 0.916504f, 0.928711f, 0.940430f, 0.948730f, 0.955566f, 0.961914f, 0.967285f, 0.970215f,
		0.974121f, 0.977539f, 0.979980f, 0.982422f, 0.984863f, 0.986816f, 0.994629f, 0.995605f, 0.995605f, 0.995605f, 0.995605f, 0.995605f,
		0.000000f, 0.000473f, 0.000607f, 0.000921f, 0.000957f, 0.001448f, 0.001884f, 0.002270f, 0.002703f, 0.002998f, 0.003862f, 0.004307f,
		0.005074f, 0.005665f, 0.006737f, 0.007851f, 0.009216f, 0.010735f, 0.012459f, 0.014572f, 0.016998f, 0.019821f, 0.023605f, 0.027969f,
		0.033783f, 0.040192f, 0.049286f, 0.060303f, 0.074829f, 0.093750f, 0.118774f, 0.152222f, 0.195801f, 0.252441f, 0.322754f, 0.404053f,
		0.491943f, 0.577637f, 0.655273f, 0.722168f, 0.776367f, 0.820312f, 0.854004f, 0.878906f, 0.900879f, 0.916992f, 0.929688f, 0.940430f,
		0.949707f, 0.956055f, 0.962402f, 0.967285f, 0.971191f, 0.975586f, 0.978516f, 0.980957f, 0.983398f, 0.985352f, 0.994141f, 0.995117f,
		0.995117f, 0.995605f, 0.995117f, 0.995605f, 0.000000f, 0.000444f, 0.000605f, 0.000649f, 0.000926f, 0.001096f, 0.001624f, 0.001669f,
		0.002373f, 0.002716f, 0.003231f, 0.003769f, 0.004395f, 0.005005f, 0.005878f, 0.006710f, 0.007793f, 0.008957f, 0.010712f, 0.012230f,
		0.014244f, 0.016693f, 0.019531f, 0.022827f, 0.027100f, 0.032318f, 0.038971f, 0.047302f, 0.058105f, 0.072021f, 0.089966f, 0.114319f,
		0.146362f, 0.188965f, 0.244019f, 0.312988f, 0.394287f, 0.482178f, 0.569824f, 0.650391f, 0.718262f, 0.774414f, 0.819336f, 0.853027f,
		0.880371f, 0.900879f, 0.917969f, 0.930664f, 0.940918f, 0.950684f, 0.957031f, 0.962891f, 0.968262f, 0.972656f, 0.976562f, 0.979004f,
		0.981934f, 0.984375f, 0.994141f, 0.994629f, 0.994629f, 0.995117f, 0.994629f, 0.995117f, 0.000000f, 0.000336f, 0.000601f, 0.000712f,
		0.000810f, 0.001174f, 0.001286f, 0.001618f, 0.002037f, 0.002592f, 0.002920f, 0.003223f, 0.003847f, 0.004463f, 0.005119f, 0.006020f,
		0.006783f, 0.007957f, 0.008888f, 0.010590f, 0.012230f, 0.013885f, 0.016220f, 0.019318f, 0.022278f, 0.026474f, 0.031403f, 0.037781f,
		0.046021f, 0.055969f, 0.069397f, 0.086975f, 0.110413f, 0.140991f, 0.182739f, 0.236694f, 0.304932f, 0.385986f, 0.475586f, 0.563965f,
		0.646484f, 0.716797f, 0.772461f, 0.818359f, 0.853027f, 0.880859f, 0.901855f, 0.918945f, 0.932129f, 0.942383f, 0.951172f, 0.958496f,
		0.964355f, 0.969238f, 0.973633f, 0.977051f, 0.979980f, 0.982910f, 0.993652f, 0.994141f, 0.994629f, 0.994141f, 0.994141f, 0.994629f,
		0.000000f, 0.000244f, 0.000418f, 0.000597f, 0.000600f, 0.001085f, 0.001236f, 0.001535f, 0.001970f, 0.002096f, 0.002354f, 0.002834f,
		0.003323f, 0.003822f, 0.004463f, 0.005146f, 0.005798f, 0.006859f, 0.007587f, 0.008827f, 0.009956f, 0.011833f, 0.013725f, 0.015945f,
		0.018585f, 0.021988f, 0.025665f, 0.030807f, 0.036774f, 0.044373f, 0.054108f, 0.067383f, 0.084229f, 0.106812f, 0.137207f, 0.177734f,
		0.230835f, 0.299072f, 0.380127f, 0.470215f, 0.560547f, 0.644531f, 0.715820f, 0.774414f, 0.820312f, 0.854980f, 0.882324f, 0.903809f,
		0.921387f, 0.933594f, 0.944824f, 0.952637f, 0.960449f, 0.965820f, 0.971191f, 0.974609f, 0.978027f, 0.981934f, 0.993164f, 0.994629f,
		0.994141f, 0.994141f, 0.994141f, 0.994141f, 0.000000f, 0.000244f, 0.000411f, 0.000589f, 0.000820f, 0.000729f, 0.001086f, 0.001301f,
		0.001677f, 0.001935f, 0.002312f, 0.002678f, 0.002846f, 0.003590f, 0.003914f, 0.004578f, 0.005020f, 0.005753f, 0.006706f, 0.007710f,
		0.008911f, 0.010155f, 0.011528f, 0.013504f, 0.015747f, 0.018036f, 0.021408f, 0.024994f, 0.029816f, 0.035858f, 0.043152f, 0.053009f,
		0.065491f, 0.082031f, 0.104065f, 0.133789f, 0.174072f, 0.226929f, 0.294434f, 0.376465f, 0.467773f, 0.560059f, 0.644531f, 0.717285f,
		0.777344f, 0.823242f, 0.857910f, 0.885742f, 0.906738f, 0.922852f, 0.936523f, 0.947266f, 0.955078f, 0.961426f, 0.967285f, 0.972656f,
		0.976562f, 0.979980f, 0.992676f, 0.993164f, 0.993652f, 0.993652f, 0.993652f, 0.993652f, 0.000000f, 0.000243f, 0.000243f, 0.000442f,
		0.000695f, 0.000759f, 0.000837f, 0.001089f, 0.001625f, 0.001702f, 0.002045f, 0.002176f, 0.002756f, 0.003063f, 0.003687f, 0.003893f,
		0.004456f, 0.005337f, 0.006062f, 0.006523f, 0.007572f, 0.008430f, 0.009880f, 0.011612f, 0.013237f, 0.015114f, 0.017487f, 0.020584f,
		0.024445f, 0.028931f, 0.034729f, 0.042023f, 0.051788f, 0.063843f, 0.079956f, 0.102295f, 0.131592f, 0.171021f, 0.223877f, 0.292236f,
		0.375000f, 0.468018f, 0.562012f, 0.648438f, 0.721191f, 0.781250f, 0.826660f, 0.862305f, 0.888672f, 0.909668f, 0.926270f, 0.938965f,
		0.949707f, 0.957520f, 0.964355f, 0.969727f, 0.974121f, 0.978027f, 0.992676f, 0.993164f, 0.993164f, 0.992676f, 0.993164f, 0.993164f,
		0.000000f, 0.000242f, 0.000242f, 0.000242f, 0.000564f, 0.000692f, 0.000826f, 0.001094f, 0.001280f, 0.001457f, 0.001673f, 0.002232f,
		0.002411f, 0.002789f, 0.003174f, 0.003649f, 0.003859f, 0.004349f, 0.004990f, 0.005898f, 0.006622f, 0.007496f, 0.008209f, 0.009583f,
		0.011284f, 0.013062f, 0.014763f, 0.017120f, 0.020020f, 0.023804f, 0.028412f, 0.033905f, 0.041016f, 0.050140f, 0.062469f, 0.078552f,
		0.100159f, 0.129272f, 0.169067f, 0.222290f, 0.291504f, 0.376465f, 0.470703f, 0.566406f, 0.653320f, 0.728027f, 0.786621f, 0.832031f,
		0.866699f, 0.893555f, 0.914062f, 0.929688f, 0.942383f, 0.952148f, 0.959961f, 0.966797f, 0.972168f, 0.976074f, 0.991211f, 0.992188f,
		0.992676f, 0.992188f, 0.992676f, 0.992676f, 0.000241f, 0.000241f, 0.000240f, 0.000242f, 0.000486f, 0.000637f, 0.000916f, 0.000933f,
		0.001003f, 0.001284f, 0.001584f, 0.001925f, 0.002134f, 0.002502f, 0.002731f, 0.003134f, 0.003435f, 0.004036f, 0.004379f, 0.005077f,
		0.005688f, 0.006557f, 0.007347f, 0.007942f, 0.009506f, 0.010712f, 0.012527f, 0.014603f, 0.016693f, 0.019592f, 0.023285f, 0.027512f,
		0.033173f, 0.040283f, 0.049347f, 0.061432f, 0.077271f, 0.098938f, 0.128052f, 0.168091f, 0.222168f, 0.292725f, 0.379150f, 0.476807f,
		0.573730f, 0.662598f, 0.735840f, 0.794434f, 0.839844f, 0.873535f, 0.898926f, 0.918945f, 0.934082f, 0.945312f, 0.955566f, 0.962402f,
		0.969238f, 0.974609f, 0.990723f, 0.991699f, 0.992188f, 0.992188f, 0.992188f, 0.992188f, 0.000000f, 0.000238f, 0.000240f, 0.000362f,
		0.000362f, 0.000521f, 0.000631f, 0.000909f, 0.000937f, 0.001249f, 0.001373f, 0.001693f, 0.001746f, 0.002184f, 0.002436f, 0.002680f,
		0.003094f, 0.003576f, 0.003828f, 0.004463f, 0.004990f, 0.005589f, 0.006439f, 0.006943f, 0.008217f, 0.009384f, 0.010719f, 0.012184f,
		0.014130f, 0.016373f, 0.019241f, 0.022675f, 0.027161f, 0.032379f, 0.039307f, 0.048645f, 0.060455f, 0.076416f, 0.097778f, 0.127441f,
		0.168213f, 0.223633f, 0.296387f, 0.385986f, 0.485107f, 0.583984f, 0.673340f, 0.746582f, 0.804199f, 0.848633f, 0.880371f, 0.905273f,
		0.923828f, 0.938477f, 0.949707f, 0.958984f, 0.965820f, 0.972656f, 0.990234f, 0.991211f, 0.991211f, 0.991211f, 0.991211f, 0.991211f,
		0.000000f, 0.000234f, 0.000238f, 0.000236f, 0.000360f, 0.000482f, 0.000614f, 0.000786f, 0.000900f, 0.001056f, 0.001336f, 0.001466f,
		0.001671f, 0.001907f, 0.002333f, 0.002546f, 0.002871f, 0.003067f, 0.003500f, 0.003813f, 0.004425f, 0.004574f, 0.005459f, 0.006092f,
		0.006660f, 0.007660f, 0.008987f, 0.010071f, 0.011841f, 0.013847f, 0.016022f, 0.018829f, 0.022339f, 0.026779f, 0.031677f, 0.038910f,
		0.047913f, 0.059601f, 0.075684f, 0.097290f, 0.127319f, 0.169189f, 0.226807f, 0.302490f, 0.394775f, 0.497314f, 0.598633f, 0.686523f,
		0.759766f, 0.814941f, 0.857422f, 0.888672f, 0.912109f, 0.930176f, 0.943359f, 0.954102f, 0.962402f, 0.968750f, 0.988770f, 0.990234f,
		0.990234f, 0.990234f, 0.991211f, 0.990723f, 0.000000f, 0.000036f, 0.000166f, 0.000357f, 0.000356f, 0.000478f, 0.000566f, 0.000638f,
		0.000893f, 0.001146f, 0.001242f, 0.001330f, 0.001502f, 0.001773f, 0.001918f, 0.002024f, 0.002501f, 0.002604f, 0.003067f, 0.003334f,
		0.003708f, 0.004044f, 0.004646f, 0.005268f, 0.006241f, 0.006931f, 0.007774f, 0.008911f, 0.010277f, 0.011475f, 0.013542f, 0.015732f,
		0.018417f, 0.022049f, 0.026154f, 0.031189f, 0.038269f, 0.047119f, 0.059265f, 0.075256f, 0.097534f, 0.128906f, 0.172119f, 0.231934f,
		0.311035f, 0.407715f, 0.513184f, 0.615723f, 0.703613f, 0.773926f, 0.827637f, 0.867188f, 0.897461f, 0.919434f, 0.936035f, 0.948730f,
		0.958984f, 0.966309f, 0.988770f, 0.989746f, 0.989746f, 0.990234f, 0.989746f, 0.989746f, 0.000000f, 0.000028f, 0.000093f, 0.000334f,
		0.000465f, 0.000472f, 0.000373f, 0.000685f, 0.000695f, 0.001027f, 0.001128f, 0.001155f, 0.001419f, 0.001435f, 0.001760f, 0.001850f,
		0.002241f, 0.002373f, 0.002604f, 0.002821f, 0.003334f, 0.003666f, 0.004139f, 0.004627f, 0.005207f, 0.005886f, 0.006596f, 0.007580f,
		0.008705f, 0.009911f, 0.011520f, 0.013237f, 0.015427f, 0.017944f, 0.021423f, 0.025497f, 0.030945f, 0.037537f, 0.046692f, 0.058624f,
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		0.008522f, 0.012100f, 0.017334f, 0.026489f, 0.042786f, 0.074524f, 0.142578f, 0.283936f, 0.509277f, 0.729492f, 0.940918f, 0.941895f,
		0.942383f, 0.942383f, 0.942383f, 0.942871f, 0.000122f, 0.000121f, 0.000121f, 0.000120f, 0.000120f, 0.000120f, 0.000119f, 0.000119f,
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		0.422363f, 0.677734f, 0.932129f, 0.933594f, 0.933594f, 0.934082f, 0.934082f, 0.934082f, 0.000000f, 0.000121f, 0.000120f, 0.000119f,
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		0.019043f, 0.033478f, 0.065430f, 0.144043f, 0.331299f, 0.613770f, 0.921387f, 0.922852f, 0.923340f, 0.923340f, 0.923340f, 0.923340f,
		0.000000f, 0.000000f, 0.000119f, 0.000118f, 0.000118f, 0.000117f, 0.000116f, 0.000116f, 0.000116f, 0.000116f, 0.000115f, 0.000115f,
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		0.981934f, 0.983398f, 0.985352f, 0.986816f, 0.988281f, 0.988770f, 0.989746f, 0.990723f, 0.991699f, 0.992676f, 0.997070f, 0.997559f,
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		0.022018f, 0.027466f, 0.034729f, 0.043488f, 0.054932f, 0.068359f, 0.086365f, 0.108765f, 0.137939f, 0.174316f, 0.219360f, 0.273926f,
		0.336670f, 0.406494f, 0.478516f, 0.549316f, 0.614746f, 0.673340f, 0.722656f, 0.765137f, 0.800293f, 0.828125f, 0.853516f, 0.872070f,
		0.888672f, 0.902832f, 0.914551f, 0.924316f, 0.932129f, 0.940430f, 0.946289f, 0.951660f, 0.956055f, 0.960449f, 0.964355f, 0.967773f,
		0.970703f, 0.972656f, 0.975586f, 0.978027f, 0.980469f, 0.981934f, 0.983398f, 0.985352f, 0.986328f, 0.988281f, 0.988770f, 0.990234f,
		0.990723f, 0.992188f, 0.996582f, 0.997070f, 0.997070f, 0.997070f, 0.997070f, 0.997070f, 0.000600f, 0.001813f, 0.003101f, 0.004559f,
		0.006580f, 0.008873f, 0.011047f, 0.014091f, 0.017639f, 0.022049f, 0.027557f, 0.033997f, 0.042297f, 0.052704f, 0.065369f, 0.081238f,
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		0.949707f, 0.955078f, 0.959473f, 0.963379f, 0.966797f, 0.970215f, 0.973145f, 0.975098f, 0.978027f, 0.980469f, 0.982422f, 0.983887f,
		0.984863f, 0.986328f, 0.987793f, 0.988770f, 0.989746f, 0.991211f, 0.996582f, 0.997070f, 0.997070f, 0.997070f, 0.997070f, 0.997070f,
		0.000604f, 0.001429f, 0.002676f, 0.003708f, 0.005745f, 0.006973f, 0.009270f, 0.011452f, 0.014503f, 0.018295f, 0.022369f, 0.027222f,
		0.033417f, 0.040833f, 0.050171f, 0.062744f, 0.077454f, 0.095886f, 0.119995f, 0.150391f, 0.187622f, 0.234253f, 0.289307f, 0.353027f,
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		0.906250f, 0.916992f, 0.926758f, 0.935059f, 0.942871f, 0.948242f, 0.954102f, 0.958496f, 0.962891f, 0.966309f, 0.969727f, 0.972168f,
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		0.996582f, 0.996582f, 0.996582f, 0.996582f, 0.000365f, 0.001367f, 0.002123f, 0.003353f, 0.004692f, 0.006054f, 0.007675f, 0.009819f,
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		0.140381f, 0.175415f, 0.218018f, 0.269775f, 0.329834f, 0.396240f, 0.467285f, 0.537598f, 0.603516f, 0.662109f, 0.712891f, 0.757324f,
		0.793945f, 0.823730f, 0.849121f, 0.869629f, 0.887695f, 0.902344f, 0.914062f, 0.924805f, 0.932129f, 0.940430f, 0.947266f, 0.952148f,
		0.957031f, 0.962402f, 0.966309f, 0.969238f, 0.972656f, 0.975586f, 0.977051f, 0.979492f, 0.981934f, 0.983398f, 0.984863f, 0.986328f,
		0.988281f, 0.988770f, 0.995605f, 0.996094f, 0.996094f, 0.996094f, 0.996094f, 0.996094f, 0.000356f, 0.001341f, 0.001913f, 0.002897f,
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		0.047150f, 0.057495f, 0.070007f, 0.086609f, 0.106689f, 0.131714f, 0.164429f, 0.203613f, 0.252441f, 0.310059f, 0.374512f, 0.444092f,
		0.514160f, 0.582031f, 0.643066f, 0.697266f, 0.743652f, 0.783691f, 0.814941f, 0.842773f, 0.865234f, 0.882812f, 0.897949f, 0.910645f,
		0.922363f, 0.931152f, 0.938965f, 0.945801f, 0.952148f, 0.957520f, 0.961426f, 0.965820f, 0.969727f, 0.972168f, 0.975098f, 0.977539f,
		0.979980f, 0.981934f, 0.983887f, 0.985352f, 0.986816f, 0.988281f, 0.995117f, 0.995605f, 0.996094f, 0.996094f, 0.996094f, 0.996094f,
		0.000243f, 0.000937f, 0.001662f, 0.002617f, 0.003527f, 0.004555f, 0.005642f, 0.007217f, 0.008820f, 0.010483f, 0.012383f, 0.015175f,
		0.018341f, 0.022049f, 0.026245f, 0.031067f, 0.037903f, 0.045563f, 0.054962f, 0.066956f, 0.082092f, 0.101074f, 0.124939f, 0.154663f,
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		0.835449f, 0.859863f, 0.878906f, 0.895020f, 0.908203f, 0.920898f, 0.929199f, 0.937988f, 0.945312f, 0.951660f, 0.957031f, 0.961914f,
		0.965332f, 0.968750f, 0.972656f, 0.975098f, 0.977539f, 0.979980f, 0.982422f, 0.983887f, 0.986328f, 0.987793f, 0.995117f, 0.995605f,
		0.995605f, 0.995605f, 0.995605f, 0.995605f, 0.000362f, 0.000970f, 0.001489f, 0.002251f, 0.002892f, 0.003727f, 0.004978f, 0.006264f,
		0.007530f, 0.009125f, 0.010551f, 0.012756f, 0.015259f, 0.018097f, 0.021637f, 0.025986f, 0.030594f, 0.036804f, 0.044006f, 0.053162f,
		0.064148f, 0.078003f, 0.096130f, 0.118042f, 0.146118f, 0.181030f, 0.224487f, 0.276123f, 0.336670f, 0.403320f, 0.473633f, 0.543457f,
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		0.937012f, 0.944336f, 0.951172f, 0.956543f, 0.961426f, 0.965820f, 0.968750f, 0.972656f, 0.975098f, 0.978027f, 0.980469f, 0.982910f,
		0.984375f, 0.985840f, 0.994629f, 0.995117f, 0.995117f, 0.995117f, 0.995117f, 0.995117f, 0.000346f, 0.000923f, 0.001273f, 0.002010f,
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		0.951660f, 0.957031f, 0.961426f, 0.965820f, 0.970215f, 0.973145f, 0.976074f, 0.979004f, 0.981445f, 0.983398f, 0.994141f, 0.994141f,
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		0.356689f, 0.425537f, 0.497070f, 0.568359f, 0.632812f, 0.690918f, 0.739746f, 0.782227f, 0.816406f, 0.845703f, 0.868652f, 0.887695f,
		0.903320f, 0.916992f, 0.927734f, 0.937012f, 0.944824f, 0.951660f, 0.957031f, 0.962891f, 0.966797f, 0.971191f, 0.973633f, 0.976562f,
		0.979492f, 0.981934f, 0.992676f, 0.993652f, 0.994141f, 0.993652f, 0.993652f, 0.994141f, 0.000244f, 0.000660f, 0.000918f, 0.001343f,
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		0.014999f, 0.017426f, 0.020096f, 0.024185f, 0.027725f, 0.032623f, 0.038910f, 0.046387f, 0.055298f, 0.066467f, 0.080627f, 0.098328f,
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		0.778320f, 0.814453f, 0.843750f, 0.867188f, 0.887207f, 0.903320f, 0.916504f, 0.928223f, 0.937500f, 0.945312f, 0.953125f, 0.958008f,
		0.964355f, 0.967285f, 0.971680f, 0.975098f, 0.978516f, 0.980957f, 0.992676f, 0.993652f, 0.994141f, 0.993652f, 0.993652f, 0.993164f,
		0.000200f, 0.000480f, 0.000808f, 0.001303f, 0.001680f, 0.002104f, 0.002510f, 0.002934f, 0.003468f, 0.004429f, 0.005539f, 0.006046f,
		0.006889f, 0.008438f, 0.009415f, 0.011108f, 0.012787f, 0.014572f, 0.017517f, 0.020279f, 0.023483f, 0.027359f, 0.031860f, 0.037964f,
		0.045227f, 0.053711f, 0.064148f, 0.077759f, 0.095093f, 0.116272f, 0.143311f, 0.177856f, 0.221191f, 0.273193f, 0.334473f, 0.403320f,
		0.476318f, 0.548828f, 0.617188f, 0.677734f, 0.730957f, 0.775879f, 0.812500f, 0.842285f, 0.866699f, 0.887695f, 0.903809f, 0.916992f,
		0.928711f, 0.938477f, 0.946777f, 0.953125f, 0.959473f, 0.963867f, 0.968750f, 0.972656f, 0.976074f, 0.979004f, 0.992188f, 0.992676f,
		0.993164f, 0.993164f, 0.992676f, 0.993164f, 0.000243f, 0.000469f, 0.000878f, 0.001158f, 0.001382f, 0.001801f, 0.002220f, 0.002699f,
		0.003273f, 0.004063f, 0.004715f, 0.005447f, 0.005917f, 0.007099f, 0.008385f, 0.009521f, 0.011032f, 0.012627f, 0.014870f, 0.016922f,
		0.019836f, 0.023010f, 0.026642f, 0.031174f, 0.036926f, 0.043549f, 0.051941f, 0.062561f, 0.075317f, 0.091553f, 0.112427f, 0.138428f,
		0.172485f, 0.213867f, 0.265381f, 0.326172f, 0.394775f, 0.467773f, 0.541504f, 0.610840f, 0.673340f, 0.728516f, 0.774414f, 0.812012f,
		0.842773f, 0.867676f, 0.887695f, 0.904297f, 0.918457f, 0.929688f, 0.939453f, 0.948242f, 0.955078f, 0.959961f, 0.965820f, 0.970215f,
		0.974121f, 0.977051f, 0.991211f, 0.993164f, 0.993164f, 0.992188f, 0.993164f, 0.992188f, 0.000000f, 0.000242f, 0.000799f, 0.000998f,
		0.001273f, 0.001671f, 0.002069f, 0.002485f, 0.003212f, 0.003578f, 0.003948f, 0.004559f, 0.005524f, 0.006321f, 0.007046f, 0.008438f,
		0.009438f, 0.010986f, 0.012390f, 0.014320f, 0.016663f, 0.019165f, 0.022476f, 0.025833f, 0.030487f, 0.035675f, 0.042358f, 0.050018f,
		0.060211f, 0.072693f, 0.088379f, 0.108948f, 0.134766f, 0.166626f, 0.208008f, 0.258545f, 0.318848f, 0.387451f, 0.461670f, 0.536621f,
		0.606934f, 0.671387f, 0.727539f, 0.773438f, 0.811523f, 0.843750f, 0.868164f, 0.889160f, 0.906250f, 0.920410f, 0.932617f, 0.941895f,
		0.949707f, 0.956055f, 0.962402f, 0.967285f, 0.971680f, 0.975586f, 0.990723f, 0.991699f, 0.991699f, 0.992188f, 0.992188f, 0.991699f,
		0.000237f, 0.000482f, 0.000772f, 0.000877f, 0.001109f, 0.001494f, 0.001991f, 0.002041f, 0.002537f, 0.002975f, 0.003469f, 0.004128f,
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		0.025497f, 0.029587f, 0.034576f, 0.041260f, 0.049011f, 0.058319f, 0.070557f, 0.086060f, 0.105774f, 0.130737f, 0.162720f, 0.203247f,
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		0.929199f, 0.939941f, 0.948730f, 0.956055f, 0.963379f, 0.968262f, 0.988770f, 0.989746f, 0.990234f, 0.989746f, 0.989746f, 0.990234f,
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		0.827637f, 0.858398f, 0.884277f, 0.903320f, 0.919922f, 0.932129f, 0.942871f, 0.951660f, 0.959961f, 0.965820f, 0.987305f, 0.988281f,
		0.989258f, 0.989258f, 0.989258f, 0.989258f, 0.000244f, 0.000243f, 0.000583f, 0.000585f, 0.000822f, 0.001073f, 0.001159f, 0.001452f,
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		0.044342f, 0.053375f, 0.064331f, 0.078857f, 0.097351f, 0.121033f, 0.152588f, 0.192749f, 0.244263f, 0.307129f, 0.380615f, 0.461426f,
		0.543457f, 0.621582f, 0.690430f, 0.748047f, 0.796387f, 0.834961f, 0.865723f, 0.889160f, 0.908691f, 0.924316f, 0.937500f, 0.946777f,
		0.955078f, 0.962891f, 0.986328f, 0.987793f, 0.988770f, 0.988770f, 0.988770f, 0.988770f, 0.000000f, 0.000243f, 0.000308f, 0.000541f,
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		0.019379f, 0.022629f, 0.026276f, 0.030838f, 0.036407f, 0.043488f, 0.051819f, 0.063416f, 0.077209f, 0.095825f, 0.119812f, 0.151489f,
		0.192749f, 0.245361f, 0.309814f, 0.385986f, 0.469238f, 0.552246f, 0.630859f, 0.699707f, 0.757324f, 0.805176f, 0.842773f, 0.873047f,
		0.895508f, 0.914062f, 0.929688f, 0.941406f, 0.952148f, 0.959473f, 0.985840f, 0.986816f, 0.987305f, 0.987305f, 0.987305f, 0.987305f,
		0.000000f, 0.000243f, 0.000242f, 0.000548f, 0.000695f, 0.000803f, 0.001053f, 0.001198f, 0.001363f, 0.001513f, 0.001886f, 0.002069f,
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		0.062012f, 0.076355f, 0.094971f, 0.119263f, 0.151367f, 0.193726f, 0.247925f, 0.314941f, 0.393311f, 0.478271f, 0.563965f, 0.642578f,
		0.711914f, 0.769043f, 0.815430f, 0.851562f, 0.881348f, 0.902832f, 0.921387f, 0.934570f, 0.945801f, 0.955078f, 0.984375f, 0.986328f,
		0.986328f, 0.986328f, 0.986328f, 0.986328f, 0.000000f, 0.000234f, 0.000239f, 0.000308f, 0.000597f, 0.000690f, 0.000868f, 0.000937f,
		0.001189f, 0.001404f, 0.001696f, 0.001854f, 0.002180f, 0.002249f, 0.002672f, 0.002979f, 0.003494f, 0.003761f, 0.004257f, 0.004745f,
		0.005154f, 0.005821f, 0.006561f, 0.007557f, 0.008575f, 0.009575f, 0.010963f, 0.012238f, 0.014130f, 0.016113f, 0.018539f, 0.021545f,
		0.025162f, 0.029404f, 0.034851f, 0.041626f, 0.050354f, 0.061218f, 0.075562f, 0.094482f, 0.119507f, 0.152344f, 0.196167f, 0.252197f,
		0.322266f, 0.404053f, 0.490967f, 0.577637f, 0.658203f, 0.726074f, 0.782715f, 0.827637f, 0.861816f, 0.889648f, 0.910645f, 0.926758f,
		0.940918f, 0.950684f, 0.983398f, 0.985352f, 0.984863f, 0.985352f, 0.985840f, 0.985352f, 0.000000f, 0.000240f, 0.000237f, 0.000239f,
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		0.011795f, 0.013680f, 0.015671f, 0.018005f, 0.020981f, 0.024521f, 0.028748f, 0.034119f, 0.040863f, 0.049622f, 0.060303f, 0.074829f,
		0.094116f, 0.119995f, 0.154297f, 0.199341f, 0.258301f, 0.331787f, 0.416504f, 0.507812f, 0.595703f, 0.675781f, 0.743164f, 0.797852f,
		0.840820f, 0.873535f, 0.899414f, 0.919434f, 0.934082f, 0.947266f, 0.982422f, 0.983887f, 0.983887f, 0.984375f, 0.984375f, 0.983887f,
		0.000136f, 0.000115f, 0.000237f, 0.000238f, 0.000358f, 0.000452f, 0.000759f, 0.000961f, 0.001026f, 0.001113f, 0.001433f, 0.001564f,
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		0.006344f, 0.007168f, 0.007942f, 0.009010f, 0.010353f, 0.011711f, 0.013458f, 0.015213f, 0.017548f, 0.020279f, 0.023926f, 0.028061f,
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		0.526855f, 0.616699f, 0.696289f, 0.761230f, 0.813965f, 0.854492f, 0.884766f, 0.909180f, 0.927734f, 0.941895f, 0.980957f, 0.982422f,
		0.982910f, 0.982422f, 0.982422f, 0.982910f, 0.000000f, 0.000103f, 0.000208f, 0.000356f, 0.000355f, 0.000400f, 0.000454f, 0.000861f,
		0.000922f, 0.001202f, 0.001088f, 0.001401f, 0.001493f, 0.001779f, 0.001881f, 0.002180f, 0.002329f, 0.002483f, 0.002846f, 0.003178f,
		0.003542f, 0.003914f, 0.004406f, 0.004871f, 0.005352f, 0.006119f, 0.006927f, 0.007904f, 0.008759f, 0.009972f, 0.011284f, 0.013046f,
		0.014938f, 0.016998f, 0.019943f, 0.023224f, 0.027161f, 0.032776f, 0.039917f, 0.048218f, 0.059937f, 0.075134f, 0.095642f, 0.123169f,
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		0.919434f, 0.936035f, 0.979492f, 0.980957f, 0.980957f, 0.981934f, 0.981445f, 0.981445f, 0.000000f, 0.000192f, 0.000191f, 0.000350f,
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		0.048004f, 0.059784f, 0.075500f, 0.096924f, 0.125977f, 0.166626f, 0.221069f, 0.292969f, 0.380371f, 0.479004f, 0.577637f, 0.667969f,
		0.743164f, 0.803711f, 0.849609f, 0.883789f, 0.910645f, 0.930176f, 0.977539f, 0.979492f, 0.979492f, 0.979492f, 0.979980f, 0.979492f,
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		0.018784f, 0.021927f, 0.026260f, 0.031677f, 0.038879f, 0.048004f, 0.059845f, 0.076233f, 0.098633f, 0.130005f, 0.173950f, 0.233032f,
		0.311035f, 0.405518f, 0.507812f, 0.608887f, 0.698242f, 0.769531f, 0.826172f, 0.868164f, 0.899414f, 0.922852f, 0.976074f, 0.977539f,
		0.977539f, 0.977051f, 0.978027f, 0.978027f, 0.000000f, 0.000000f, 0.000117f, 0.000211f, 0.000326f, 0.000573f, 0.000574f, 0.000583f,
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		0.002361f, 0.002504f, 0.003023f, 0.003147f, 0.003580f, 0.004032f, 0.004314f, 0.004936f, 0.005215f, 0.006081f, 0.006725f, 0.007927f,
		0.008743f, 0.009918f, 0.011642f, 0.013367f, 0.015404f, 0.018219f, 0.021545f, 0.025787f, 0.031174f, 0.038361f, 0.047577f, 0.060425f,
		0.077881f, 0.102051f, 0.135376f, 0.182861f, 0.249023f, 0.333984f, 0.436035f, 0.542969f, 0.644043f, 0.730469f, 0.798340f, 0.848633f,
		0.886719f, 0.914062f, 0.973633f, 0.974609f, 0.975098f, 0.976074f, 0.975098f, 0.976074f, 0.000000f, 0.000000f, 0.000114f, 0.000112f,
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		0.001282f, 0.001547f, 0.001585f, 0.001825f, 0.002066f, 0.002182f, 0.002384f, 0.002659f, 0.003172f, 0.003357f, 0.003721f, 0.004238f,
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		0.025131f, 0.030899f, 0.038269f, 0.047760f, 0.061188f, 0.079651f, 0.105469f, 0.142944f, 0.195801f, 0.268799f, 0.363525f, 0.472168f,
		0.582520f, 0.683594f, 0.765137f, 0.826660f, 0.872070f, 0.905273f, 0.972168f, 0.973633f, 0.973145f, 0.973633f, 0.973633f, 0.973633f,
		0.000000f, 0.000000f, 0.000000f, 0.000111f, 0.000224f, 0.000412f, 0.000494f, 0.000543f, 0.000561f, 0.000680f, 0.000665f, 0.000675f,
		0.000679f, 0.000797f, 0.000926f, 0.001122f, 0.001132f, 0.001207f, 0.001375f, 0.001606f, 0.001838f, 0.001963f, 0.002163f, 0.002314f,
		0.002480f, 0.002956f, 0.003189f, 0.003489f, 0.003744f, 0.004311f, 0.004749f, 0.005276f, 0.005867f, 0.006962f, 0.008186f, 0.008987f,
		0.010498f, 0.012283f, 0.014374f, 0.017075f, 0.020355f, 0.024719f, 0.030640f, 0.037720f, 0.048309f, 0.062134f, 0.082336f, 0.110840f,
		0.151978f, 0.212891f, 0.294922f, 0.399170f, 0.515137f, 0.628418f, 0.724609f, 0.799805f, 0.854980f, 0.894043f, 0.968750f, 0.970215f,
		0.970703f, 0.971191f, 0.970703f, 0.970703f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000228f, 0.000233f, 0.000436f, 0.000457f,
		0.000621f, 0.000546f, 0.000622f, 0.000633f, 0.000576f, 0.000644f, 0.000717f, 0.000909f, 0.000994f, 0.001127f, 0.001179f, 0.001267f,
		0.001513f, 0.001628f, 0.001742f, 0.001974f, 0.002111f, 0.002403f, 0.002810f, 0.003139f, 0.003231f, 0.003466f, 0.004021f, 0.004459f,
		0.004971f, 0.005581f, 0.006809f, 0.007568f, 0.008759f, 0.010002f, 0.011665f, 0.013847f, 0.016342f, 0.019714f, 0.024368f, 0.030106f,
		0.037811f, 0.048706f, 0.063843f, 0.085327f, 0.118042f, 0.164917f, 0.234131f, 0.328125f, 0.443359f, 0.565430f, 0.677246f, 0.767578f,
		0.833496f, 0.882812f, 0.965820f, 0.967285f, 0.967773f, 0.968262f, 0.967773f, 0.968262f, 0.000000f, 0.000000f, 0.000000f, 0.000214f,
		0.000210f, 0.000296f, 0.000309f, 0.000386f, 0.000462f, 0.000482f, 0.000525f, 0.000572f, 0.000525f, 0.000558f, 0.000689f, 0.000685f,
		0.000841f, 0.000934f, 0.001008f, 0.001182f, 0.001271f, 0.001412f, 0.001757f, 0.001787f, 0.001769f, 0.002110f, 0.002321f, 0.002331f,
		0.002737f, 0.002951f, 0.003189f, 0.003588f, 0.004253f, 0.004627f, 0.005505f, 0.006119f, 0.006969f, 0.008018f, 0.009583f, 0.010971f,
		0.013245f, 0.015915f, 0.019257f, 0.023651f, 0.030014f, 0.038086f, 0.049683f, 0.066406f, 0.091125f, 0.127441f, 0.182617f, 0.262939f,
		0.370605f, 0.497070f, 0.623047f, 0.729004f, 0.810547f, 0.867188f, 0.962891f, 0.963867f, 0.964844f, 0.964844f, 0.964355f, 0.964355f,
		0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000200f, 0.000215f, 0.000229f, 0.000319f, 0.000330f, 0.000411f, 0.000491f, 0.000527f,
		0.000547f, 0.000560f, 0.000634f, 0.000648f, 0.000716f, 0.000778f, 0.000855f, 0.000998f, 0.001182f, 0.001111f, 0.001274f, 0.001625f,
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		0.005508f, 0.006519f, 0.007645f, 0.008743f, 0.010757f, 0.012558f, 0.014946f, 0.018661f, 0.023422f, 0.029556f, 0.038574f, 0.050964f,
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		0.977539f, 0.979492f, 0.980469f, 0.981934f, 0.982910f, 0.984375f, 0.985840f, 0.986816f, 0.987793f, 0.988770f, 0.988770f, 0.990234f,
		0.991211f, 0.991699f, 0.992676f, 0.993164f, 0.993164f, 0.994141f, 0.995605f, 0.995605f, 0.996094f, 0.996582f, 0.997070f, 0.997559f,
		0.998047f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999023f, 0.999023f, 0.999023f, 0.020325f, 0.077820f, 0.158936f, 0.260498f,
		0.372314f, 0.479736f, 0.572754f, 0.648438f, 0.707520f, 0.754883f, 0.791016f, 0.820312f, 0.843750f, 0.862793f, 0.878906f, 0.891602f,
		0.903320f, 0.912598f, 0.920898f, 0.928223f, 0.933594f, 0.939941f, 0.944824f, 0.949219f, 0.952637f, 0.956543f, 0.959961f, 0.962402f,
		0.965332f, 0.967773f, 0.970215f, 0.971680f, 0.974121f, 0.976074f, 0.977539f, 0.979004f, 0.980957f, 0.981445f, 0.983398f, 0.984375f,
		0.985352f, 0.986328f, 0.987793f, 0.988770f, 0.989746f, 0.990234f, 0.991211f, 0.992188f, 0.992676f, 0.993164f, 0.994141f, 0.994629f,
		0.995605f, 0.996094f, 0.996582f, 0.996582f, 0.997559f, 0.998047f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.998535f, 0.998535f,
		0.012032f, 0.042908f, 0.088196f, 0.149292f, 0.228027f, 0.319824f, 0.415527f, 0.506348f, 0.586914f, 0.653809f, 0.709473f, 0.752441f,
		0.787598f, 0.817383f, 0.840820f, 0.860352f, 0.876465f, 0.889648f, 0.900879f, 0.910156f, 0.918945f, 0.926270f, 0.933105f, 0.938965f,
		0.944336f, 0.948730f, 0.952637f, 0.956055f, 0.958984f, 0.962402f, 0.965332f, 0.967773f, 0.970215f, 0.972656f, 0.974609f, 0.976562f,
		0.978027f, 0.979492f, 0.980957f, 0.982422f, 0.983887f, 0.984375f, 0.985352f, 0.986816f, 0.987793f, 0.988770f, 0.989746f, 0.990234f,
		0.991211f, 0.992188f, 0.993164f, 0.994141f, 0.994629f, 0.995117f, 0.996094f, 0.996094f, 0.996582f, 0.997559f, 0.998535f, 0.998535f,
		0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.007637f, 0.026825f, 0.053436f, 0.090759f, 0.140137f, 0.203125f, 0.279053f, 0.363281f,
		0.449463f, 0.529785f, 0.601562f, 0.663574f, 0.713379f, 0.756348f, 0.789551f, 0.816895f, 0.840332f, 0.858887f, 0.875488f, 0.887695f,
		0.900391f, 0.909668f, 0.918945f, 0.926270f, 0.932617f, 0.938477f, 0.943848f, 0.948242f, 0.952148f, 0.955566f, 0.959473f, 0.962402f,
		0.965332f, 0.967773f, 0.970215f, 0.972168f, 0.974121f, 0.976562f, 0.978516f, 0.979492f, 0.980957f, 0.981934f, 0.984375f, 0.985352f,
		0.985840f, 0.987793f, 0.988281f, 0.989258f, 0.990723f, 0.991211f, 0.991699f, 0.992676f, 0.993652f, 0.994141f, 0.994629f, 0.995605f,
		0.996094f, 0.997070f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998047f, 0.004784f, 0.018082f, 0.035400f, 0.058868f,
		0.089783f, 0.130981f, 0.183716f, 0.248047f, 0.321289f, 0.400391f, 0.478760f, 0.552734f, 0.617188f, 0.673828f, 0.720703f, 0.759766f,
		0.792480f, 0.818359f, 0.840820f, 0.859863f, 0.875000f, 0.888184f, 0.899902f, 0.910645f, 0.918945f, 0.926270f, 0.931641f, 0.938965f,
		0.943848f, 0.948242f, 0.952148f, 0.957031f, 0.959473f, 0.962891f, 0.965332f, 0.968262f, 0.970215f, 0.972656f, 0.975098f, 0.977051f,
		0.978516f, 0.979980f, 0.981445f, 0.982910f, 0.984863f, 0.985352f, 0.986328f, 0.987305f, 0.988770f, 0.989746f, 0.990723f, 0.991699f,
		0.992676f, 0.993164f, 0.994141f, 0.994629f, 0.995605f, 0.996094f, 0.998047f, 0.998535f, 0.998047f, 0.998047f, 0.998047f, 0.998047f,
		0.004044f, 0.012550f, 0.024628f, 0.040466f, 0.060760f, 0.087708f, 0.122742f, 0.167236f, 0.222534f, 0.287109f, 0.358643f, 0.432617f,
		0.506348f, 0.573242f, 0.632812f, 0.685059f, 0.728516f, 0.766602f, 0.797363f, 0.822266f, 0.843750f, 0.861328f, 0.877441f, 0.890625f,
		0.901367f, 0.910645f, 0.919434f, 0.926758f, 0.933105f, 0.940430f, 0.944824f, 0.948730f, 0.953125f, 0.957520f, 0.960449f, 0.963867f,
		0.966309f, 0.969238f, 0.970703f, 0.973633f, 0.976074f, 0.977539f, 0.979004f, 0.980469f, 0.982422f, 0.983398f, 0.984863f, 0.986816f,
		0.986816f, 0.988281f, 0.989746f, 0.990723f, 0.991211f, 0.992188f, 0.993164f, 0.994141f, 0.994629f, 0.995117f, 0.998047f, 0.998047f,
		0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.002975f, 0.009315f, 0.017868f, 0.029129f, 0.043243f, 0.062012f, 0.084961f, 0.115540f,
		0.154419f, 0.201660f, 0.257812f, 0.322754f, 0.391846f, 0.463135f, 0.530762f, 0.594727f, 0.650391f, 0.698730f, 0.739258f, 0.773926f,
		0.803711f, 0.826660f, 0.847656f, 0.865723f, 0.879883f, 0.892090f, 0.903809f, 0.913086f, 0.921387f, 0.928223f, 0.935059f, 0.940918f,
		0.945801f, 0.950684f, 0.954102f, 0.958008f, 0.961426f, 0.964844f, 0.967285f, 0.970215f, 0.972168f, 0.974609f, 0.976074f, 0.978027f,
		0.979980f, 0.981934f, 0.983398f, 0.984375f, 0.985352f, 0.987305f, 0.988281f, 0.989258f, 0.990234f, 0.991211f, 0.992188f, 0.993164f,
		0.993652f, 0.994629f, 0.997559f, 0.998047f, 0.998047f, 0.997559f, 0.997559f, 0.997559f, 0.002329f, 0.007256f, 0.013611f, 0.021790f,
		0.032043f, 0.044617f, 0.061554f, 0.082336f, 0.108765f, 0.142578f, 0.184448f, 0.234375f, 0.292725f, 0.357422f, 0.424805f, 0.493164f,
		0.556641f, 0.615723f, 0.666504f, 0.711914f, 0.750977f, 0.782715f, 0.809570f, 0.832520f, 0.853516f, 0.868652f, 0.882812f, 0.895508f,
		0.905762f, 0.916016f, 0.923340f, 0.931152f, 0.936523f, 0.942383f, 0.947266f, 0.951172f, 0.956055f, 0.958984f, 0.962402f, 0.965820f,
		0.968750f, 0.971191f, 0.973633f, 0.975586f, 0.977539f, 0.979980f, 0.980957f, 0.982422f, 0.983887f, 0.985352f, 0.985840f, 0.988281f,
		0.989746f, 0.990234f, 0.991211f, 0.991699f, 0.993164f, 0.993652f, 0.997070f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.997559f,
		0.001871f, 0.006084f, 0.010963f, 0.016953f, 0.024277f, 0.033722f, 0.046234f, 0.060669f, 0.079224f, 0.103638f, 0.132812f, 0.169678f,
		0.214478f, 0.267090f, 0.326172f, 0.390137f, 0.456543f, 0.519531f, 0.581543f, 0.636230f, 0.685547f, 0.726562f, 0.762207f, 0.792969f,
		0.818359f, 0.839844f, 0.858398f, 0.874023f, 0.887695f, 0.898926f, 0.909668f, 0.918945f, 0.926270f, 0.933105f, 0.938965f, 0.944336f,
		0.949219f, 0.953613f, 0.958008f, 0.961426f, 0.964844f, 0.967773f, 0.969727f, 0.972168f, 0.974609f, 0.976074f, 0.979004f, 0.979980f,
		0.981934f, 0.983887f, 0.985352f, 0.986328f, 0.987793f, 0.989746f, 0.989746f, 0.990723f, 0.991211f, 0.992676f, 0.996582f, 0.997070f,
		0.997559f, 0.997070f, 0.997070f, 0.997070f, 0.001322f, 0.004795f, 0.008530f, 0.013504f, 0.018921f, 0.026154f, 0.035065f, 0.045807f,
		0.059662f, 0.076416f, 0.098267f, 0.124512f, 0.157715f, 0.197388f, 0.244873f, 0.299805f, 0.359619f, 0.423096f, 0.487549f, 0.549316f,
		0.605957f, 0.657715f, 0.703125f, 0.741211f, 0.774902f, 0.802734f, 0.827148f, 0.847656f, 0.865234f, 0.879883f, 0.893066f, 0.903320f,
		0.913086f, 0.920898f, 0.929199f, 0.935547f, 0.941406f, 0.947266f, 0.951172f, 0.956055f, 0.959473f, 0.962891f, 0.965332f, 0.969238f,
		0.971191f, 0.974121f, 0.976562f, 0.977539f, 0.979980f, 0.981445f, 0.982910f, 0.984863f, 0.986328f, 0.988281f, 0.988281f, 0.989746f,
		0.990723f, 0.991699f, 0.996582f, 0.996582f, 0.997070f, 0.997070f, 0.997070f, 0.996582f, 0.001077f, 0.003971f, 0.006985f, 0.010750f,
		0.015579f, 0.020920f, 0.027420f, 0.035522f, 0.045776f, 0.058228f, 0.074097f, 0.093140f, 0.117310f, 0.146851f, 0.182495f, 0.225952f,
		0.276611f, 0.332764f, 0.394287f, 0.456543f, 0.518555f, 0.577637f, 0.630371f, 0.679199f, 0.720703f, 0.756836f, 0.787598f, 0.813477f,
		0.836426f, 0.855469f, 0.872070f, 0.885742f, 0.897949f, 0.908203f, 0.917480f, 0.925293f, 0.933105f, 0.939453f, 0.944336f, 0.949219f,
		0.954590f, 0.957520f, 0.961426f, 0.964844f, 0.968262f, 0.970703f, 0.974121f, 0.975586f, 0.978027f, 0.979492f, 0.981445f, 0.983398f,
		0.984863f, 0.986328f, 0.987793f, 0.988770f, 0.989746f, 0.991211f, 0.996094f, 0.996582f, 0.996582f, 0.996582f, 0.996582f, 0.996582f,
		0.000954f, 0.003330f, 0.005733f, 0.008904f, 0.012505f, 0.016617f, 0.022446f, 0.028351f, 0.036041f, 0.045807f, 0.056854f, 0.071350f,
		0.088867f, 0.110596f, 0.137451f, 0.170654f, 0.209717f, 0.256592f, 0.309326f, 0.366943f, 0.427979f, 0.489502f, 0.549316f, 0.604980f,
		0.655762f, 0.700195f, 0.738770f, 0.772461f, 0.801270f, 0.825195f, 0.845703f, 0.864258f, 0.879395f, 0.893066f, 0.903809f, 0.914062f,
		0.922363f, 0.929688f, 0.936523f, 0.942871f, 0.947266f, 0.952148f, 0.956055f, 0.960449f, 0.963867f, 0.966797f, 0.969727f, 0.972656f,
		0.975586f, 0.976562f, 0.979004f, 0.981445f, 0.982910f, 0.984375f, 0.985840f, 0.986816f, 0.988770f, 0.989746f, 0.995605f, 0.996094f,
		0.996094f, 0.996094f, 0.996094f, 0.996094f, 0.000949f, 0.002804f, 0.004730f, 0.007236f, 0.010384f, 0.014160f, 0.018478f, 0.023102f,
		0.028992f, 0.036346f, 0.044647f, 0.055542f, 0.068481f, 0.085144f, 0.105286f, 0.130005f, 0.159668f, 0.195557f, 0.238647f, 0.287842f,
		0.343018f, 0.402588f, 0.463135f, 0.522949f, 0.580566f, 0.632812f, 0.680664f, 0.721680f, 0.757812f, 0.788574f, 0.814453f, 0.836914f,
		0.856934f, 0.872070f, 0.887207f, 0.899414f, 0.909668f, 0.918945f, 0.926758f, 0.933594f, 0.940430f, 0.946289f, 0.950684f, 0.954590f,
		0.959473f, 0.963379f, 0.966797f, 0.969238f, 0.972168f, 0.975098f, 0.977051f, 0.979492f, 0.980957f, 0.982910f, 0.984375f, 0.986328f,
		0.987793f, 0.988770f, 0.995117f, 0.996094f, 0.995605f, 0.996094f, 0.996094f, 0.995605f, 0.000828f, 0.002361f, 0.004116f, 0.006119f,
		0.008797f, 0.011391f, 0.014854f, 0.018890f, 0.023666f, 0.029083f, 0.036011f, 0.044434f, 0.053986f, 0.066589f, 0.081543f, 0.100159f,
		0.122314f, 0.149536f, 0.183350f, 0.222900f, 0.269043f, 0.321533f, 0.378418f, 0.438477f, 0.499023f, 0.556641f, 0.611328f, 0.661133f,
		0.703613f, 0.742188f, 0.775391f, 0.804199f, 0.828613f, 0.849121f, 0.866211f, 0.881348f, 0.894043f, 0.905762f, 0.916016f, 0.924316f,
		0.931641f, 0.938477f, 0.944336f, 0.949707f, 0.954590f, 0.958496f, 0.962402f, 0.966309f, 0.969238f, 0.972168f, 0.974121f, 0.977051f,
		0.979004f, 0.980957f, 0.982910f, 0.984863f, 0.985840f, 0.987793f, 0.995117f, 0.995605f, 0.995605f, 0.995605f, 0.995605f, 0.995605f,
		0.000606f, 0.001948f, 0.003483f, 0.005394f, 0.007290f, 0.009735f, 0.012352f, 0.015747f, 0.019485f, 0.023788f, 0.029358f, 0.035706f,
		0.043732f, 0.053162f, 0.064331f, 0.077942f, 0.094971f, 0.116089f, 0.140991f, 0.172485f, 0.209473f, 0.252686f, 0.302002f, 0.356934f,
		0.415283f, 0.475830f, 0.534180f, 0.589844f, 0.641602f, 0.687500f, 0.728516f, 0.763184f, 0.792969f, 0.819336f, 0.841309f, 0.860840f,
		0.876953f, 0.890625f, 0.902344f, 0.913086f, 0.921875f, 0.930176f, 0.937012f, 0.943359f, 0.948242f, 0.954102f, 0.958008f, 0.961914f,
		0.965820f, 0.969238f, 0.971680f, 0.974609f, 0.977051f, 0.979004f, 0.981445f, 0.983398f, 0.984863f, 0.986816f, 0.994141f, 0.994629f,
		0.995117f, 0.995117f, 0.995117f, 0.994629f, 0.000672f, 0.001569f, 0.002895f, 0.004528f, 0.006180f, 0.008324f, 0.010864f, 0.013161f,
		0.016357f, 0.020096f, 0.024216f, 0.029327f, 0.035583f, 0.042664f, 0.051453f, 0.062073f, 0.075012f, 0.091125f, 0.110291f, 0.134155f,
		0.162476f, 0.197266f, 0.238037f, 0.285156f, 0.337646f, 0.395020f, 0.454590f, 0.513672f, 0.570312f, 0.624023f, 0.672363f, 0.714844f,
		0.750977f, 0.783691f, 0.811035f, 0.834473f, 0.854004f, 0.872070f, 0.886230f, 0.899414f, 0.911133f, 0.918945f, 0.928223f, 0.936035f,
		0.942871f, 0.948242f, 0.953613f, 0.957031f, 0.961426f, 0.965820f, 0.968750f, 0.972168f, 0.974121f, 0.976562f, 0.979492f, 0.981445f,
		0.983398f, 0.985352f, 0.994141f, 0.994629f, 0.995117f, 0.995117f, 0.995117f, 0.994629f, 0.000413f, 0.001430f, 0.002577f, 0.004269f,
		0.005703f, 0.007137f, 0.008888f, 0.011124f, 0.013885f, 0.016891f, 0.020355f, 0.024384f, 0.029221f, 0.035217f, 0.041748f, 0.049988f,
		0.060059f, 0.072083f, 0.086914f, 0.105286f, 0.126953f, 0.154175f, 0.186523f, 0.224731f, 0.269287f, 0.320557f, 0.375732f, 0.434570f,
		0.493896f, 0.552246f, 0.606934f, 0.655762f, 0.701660f, 0.740723f, 0.774902f, 0.803711f, 0.827637f, 0.848633f, 0.867188f, 0.882812f,
		0.895996f, 0.908203f, 0.917969f, 0.926758f, 0.934570f, 0.941895f, 0.947266f, 0.952637f, 0.957520f, 0.960938f, 0.965820f, 0.968750f,
		0.971680f, 0.974609f, 0.977051f, 0.979980f, 0.981934f, 0.983887f, 0.993652f, 0.994629f, 0.994141f, 0.994141f, 0.994141f, 0.994141f,
		0.000240f, 0.001406f, 0.002373f, 0.003283f, 0.004620f, 0.006264f, 0.007744f, 0.009552f, 0.011711f, 0.014069f, 0.017273f, 0.020584f,
		0.024429f, 0.028946f, 0.034393f, 0.041046f, 0.048798f, 0.058289f, 0.070312f, 0.083618f, 0.100403f, 0.121338f, 0.146118f, 0.177002f,
		0.213257f, 0.255371f, 0.304443f, 0.358887f, 0.416504f, 0.476562f, 0.534668f, 0.590332f, 0.642090f, 0.688965f, 0.729492f, 0.766113f,
		0.796387f, 0.822754f, 0.844727f, 0.862305f, 0.880371f, 0.894043f, 0.905762f, 0.916992f, 0.926270f, 0.934082f, 0.940918f, 0.946777f,
		0.953125f, 0.956543f, 0.961426f, 0.964844f, 0.969238f, 0.972656f, 0.974609f, 0.977539f, 0.979980f, 0.982422f, 0.992676f, 0.994141f,
		0.993652f, 0.993652f, 0.993652f, 0.993652f, 0.000242f, 0.001257f, 0.001991f, 0.003138f, 0.004299f, 0.005302f, 0.006584f, 0.008308f,
		0.010048f, 0.012283f, 0.014526f, 0.017578f, 0.020340f, 0.023972f, 0.028671f, 0.033661f, 0.040161f, 0.047821f, 0.056213f, 0.067261f,
		0.080444f, 0.096191f, 0.115784f, 0.139771f, 0.168457f, 0.203125f, 0.243286f, 0.290527f, 0.343506f, 0.400879f, 0.459473f, 0.519043f,
		0.576172f, 0.629395f, 0.678223f, 0.721191f, 0.757324f, 0.789062f, 0.816895f, 0.839844f, 0.859863f, 0.877930f, 0.892578f, 0.904297f,
		0.915527f, 0.925293f, 0.933105f, 0.940430f, 0.946777f, 0.952148f, 0.957031f, 0.961914f, 0.965820f, 0.969238f, 0.973145f, 0.975586f,
		0.978516f, 0.980469f, 0.992188f, 0.993652f, 0.993164f, 0.993164f, 0.993652f, 0.993164f, 0.000434f, 0.001172f, 0.001865f, 0.002825f,
		0.003633f, 0.004757f, 0.005722f, 0.007175f, 0.009010f, 0.010651f, 0.012520f, 0.014412f, 0.017532f, 0.020599f, 0.024139f, 0.028488f,
		0.033356f, 0.039001f, 0.046295f, 0.054749f, 0.064758f, 0.077209f, 0.092834f, 0.111084f, 0.134033f, 0.160767f, 0.193604f, 0.233032f,
		0.278320f, 0.329590f, 0.386230f, 0.445068f, 0.504395f, 0.563477f, 0.617188f, 0.666504f, 0.711426f, 0.750000f, 0.783691f, 0.812500f,
		0.836426f, 0.857422f, 0.875488f, 0.891113f, 0.903809f, 0.915039f, 0.924805f, 0.933105f, 0.940430f, 0.947266f, 0.953125f, 0.958496f,
		0.962402f, 0.966309f, 0.969727f, 0.973145f, 0.976562f, 0.978516f, 0.991699f, 0.992188f, 0.992676f, 0.993164f, 0.993164f, 0.992676f,
		0.000358f, 0.000835f, 0.001738f, 0.002270f, 0.002996f, 0.004078f, 0.005157f, 0.006416f, 0.007904f, 0.009331f, 0.010826f, 0.012245f,
		0.014938f, 0.017303f, 0.020233f, 0.023926f, 0.027954f, 0.032715f, 0.038147f, 0.045166f, 0.053070f, 0.062561f, 0.074768f, 0.089661f,
		0.106689f, 0.128052f, 0.154175f, 0.185547f, 0.223022f, 0.266846f, 0.317383f, 0.373047f, 0.431152f, 0.491943f, 0.550293f, 0.606445f,
		0.658203f, 0.704102f, 0.744141f, 0.779297f, 0.809082f, 0.833984f, 0.855957f, 0.875000f, 0.889648f, 0.903320f, 0.915039f, 0.924805f,
		0.933594f, 0.940918f, 0.947754f, 0.954102f, 0.958984f, 0.962402f, 0.966797f, 0.970703f, 0.974121f, 0.977539f, 0.990723f, 0.992188f,
		0.992676f, 0.992676f, 0.992188f, 0.992676f, 0.000428f, 0.000789f, 0.001460f, 0.002172f, 0.002695f, 0.003561f, 0.004608f, 0.005848f,
		0.006886f, 0.007736f, 0.009560f, 0.011078f, 0.012817f, 0.015015f, 0.017563f, 0.020157f, 0.023666f, 0.027145f, 0.031891f, 0.037384f,
		0.044189f, 0.051788f, 0.061188f, 0.072327f, 0.085999f, 0.102966f, 0.123413f, 0.148071f, 0.178101f, 0.214478f, 0.256836f, 0.306396f,
		0.360840f, 0.419678f, 0.479736f, 0.540527f, 0.597656f, 0.649902f, 0.697754f, 0.738770f, 0.775391f, 0.805664f, 0.831543f, 0.854004f,
		0.873535f, 0.889160f, 0.902832f, 0.915039f, 0.925293f, 0.934082f, 0.941895f, 0.948730f, 0.954102f, 0.959961f, 0.963867f, 0.968262f,
		0.971680f, 0.975586f, 0.990723f, 0.991699f, 0.991699f, 0.991699f, 0.991699f, 0.991211f, 0.000237f, 0.000782f, 0.001245f, 0.001923f,
		0.002417f, 0.003225f, 0.004101f, 0.005062f, 0.005920f, 0.007030f, 0.008102f, 0.009743f, 0.011009f, 0.013054f, 0.015190f, 0.017380f,
		0.020126f, 0.023346f, 0.027161f, 0.031464f, 0.036316f, 0.042664f, 0.050110f, 0.058807f, 0.069946f, 0.083191f, 0.099121f, 0.118835f,
		0.142822f, 0.171997f, 0.206665f, 0.248413f, 0.296143f, 0.350586f, 0.408936f, 0.469727f, 0.530762f, 0.589844f, 0.643555f, 0.691895f,
		0.734375f, 0.772461f, 0.803223f, 0.830566f, 0.854492f, 0.873047f, 0.889648f, 0.903809f, 0.916016f, 0.926270f, 0.935059f, 0.943359f,
		0.949219f, 0.955566f, 0.960938f, 0.965332f, 0.969727f, 0.973145f, 0.989746f, 0.990723f, 0.990723f, 0.990723f, 0.991211f, 0.990723f,
		0.000243f, 0.000793f, 0.001210f, 0.001616f, 0.002260f, 0.003069f, 0.003649f, 0.004444f, 0.005322f, 0.006088f, 0.006954f, 0.008278f,
		0.009766f, 0.011139f, 0.012970f, 0.014908f, 0.016968f, 0.019897f, 0.023193f, 0.026962f, 0.030792f, 0.035522f, 0.041931f, 0.048920f,
		0.057404f, 0.067993f, 0.080383f, 0.095825f, 0.114929f, 0.137695f, 0.165771f, 0.199585f, 0.241089f, 0.287842f, 0.341553f, 0.400391f,
		0.462402f, 0.523438f, 0.583008f, 0.638184f, 0.687988f, 0.732422f, 0.770020f, 0.802246f, 0.830566f, 0.854004f, 0.873047f, 0.891113f,
		0.904785f, 0.916992f, 0.926758f, 0.936523f, 0.943848f, 0.951172f, 0.956543f, 0.961914f, 0.966797f, 0.971191f, 0.989258f, 0.990234f,
		0.990234f, 0.990234f, 0.990234f, 0.989746f, 0.000000f, 0.000484f, 0.000973f, 0.001453f, 0.001999f, 0.002689f, 0.003359f, 0.003864f,
		0.004726f, 0.005444f, 0.006516f, 0.007404f, 0.008461f, 0.009720f, 0.011261f, 0.012985f, 0.014908f, 0.017120f, 0.019699f, 0.022614f,
		0.026093f, 0.030228f, 0.034668f, 0.040619f, 0.047699f, 0.055756f, 0.066284f, 0.078308f, 0.092834f, 0.111328f, 0.133423f, 0.160889f,
		0.194214f, 0.233765f, 0.281006f, 0.334473f, 0.392822f, 0.455078f, 0.517090f, 0.578125f, 0.634766f, 0.686035f, 0.730957f, 0.768555f,
		0.803223f, 0.831055f, 0.854492f, 0.875488f, 0.892090f, 0.906250f, 0.918457f, 0.929688f, 0.937988f, 0.945801f, 0.952148f, 0.958496f,
		0.963867f, 0.968750f, 0.988281f, 0.989258f, 0.989746f, 0.989258f, 0.989746f, 0.989258f, 0.000241f, 0.000699f, 0.000835f, 0.001354f,
		0.002066f, 0.002405f, 0.003073f, 0.003466f, 0.003847f, 0.004868f, 0.005798f, 0.006325f, 0.007446f, 0.008553f, 0.009789f, 0.011375f,
		0.013031f, 0.014702f, 0.016937f, 0.019455f, 0.022171f, 0.025467f, 0.029541f, 0.034271f, 0.039734f, 0.046295f, 0.054291f, 0.063904f,
		0.075745f, 0.089966f, 0.107727f, 0.129395f, 0.156250f, 0.188965f, 0.228394f, 0.274658f, 0.327637f, 0.386963f, 0.449219f, 0.512695f,
		0.574707f, 0.632324f, 0.684570f, 0.730469f, 0.770508f, 0.804688f, 0.832520f, 0.857422f, 0.876953f, 0.893066f, 0.908691f, 0.920410f,
		0.931152f, 0.940430f, 0.947754f, 0.954590f, 0.960938f, 0.965820f, 0.986816f, 0.988770f, 0.988770f, 0.988770f, 0.988770f, 0.988770f,
		0.000122f, 0.000480f, 0.000793f, 0.001184f, 0.001847f, 0.002220f, 0.002459f, 0.003109f, 0.003740f, 0.004234f, 0.005127f, 0.005730f,
		0.006557f, 0.007458f, 0.008469f, 0.009911f, 0.011162f, 0.012848f, 0.014519f, 0.016693f, 0.019135f, 0.021820f, 0.025024f, 0.028931f,
		0.033508f, 0.038757f, 0.045135f, 0.052856f, 0.062042f, 0.073547f, 0.087646f, 0.104736f, 0.126099f, 0.152588f, 0.184570f, 0.223511f,
		0.269775f, 0.323242f, 0.382324f, 0.445801f, 0.510254f, 0.573242f, 0.631348f, 0.685059f, 0.731934f, 0.772461f, 0.806641f, 0.834961f,
		0.859375f, 0.879883f, 0.897461f, 0.911133f, 0.923828f, 0.933594f, 0.942383f, 0.950195f, 0.956055f, 0.962402f, 0.985840f, 0.987305f,
		0.987793f, 0.987793f, 0.988281f, 0.987793f, 0.000244f, 0.000471f, 0.000666f, 0.001267f, 0.001592f, 0.001838f, 0.002251f, 0.002855f,
		0.003225f, 0.003828f, 0.004372f, 0.005112f, 0.005695f, 0.006340f, 0.007534f, 0.008797f, 0.009895f, 0.011215f, 0.012604f, 0.014503f,
		0.016602f, 0.018738f, 0.021408f, 0.024567f, 0.028305f, 0.032654f, 0.037872f, 0.043732f, 0.051239f, 0.060669f, 0.071716f, 0.085510f,
		0.102356f, 0.123230f, 0.149170f, 0.180664f, 0.219849f, 0.265869f, 0.319092f, 0.379150f, 0.443604f, 0.508789f, 0.572754f, 0.633301f,
		0.686523f, 0.734863f, 0.775391f, 0.809570f, 0.838379f, 0.862305f, 0.883301f, 0.900391f, 0.914551f, 0.926270f, 0.937012f, 0.944824f,
		0.953125f, 0.959473f, 0.985352f, 0.986816f, 0.986816f, 0.986816f, 0.986816f, 0.986816f, 0.000242f, 0.000346f, 0.000827f, 0.001065f,
		0.001428f, 0.001572f, 0.001984f, 0.002367f, 0.002851f, 0.003277f, 0.003786f, 0.004501f, 0.005253f, 0.005955f, 0.006573f, 0.007736f,
		0.008659f, 0.009880f, 0.011177f, 0.012459f, 0.014153f, 0.016403f, 0.018173f, 0.020859f, 0.024017f, 0.027496f, 0.031708f, 0.036682f,
		0.042877f, 0.050446f, 0.059174f, 0.070068f, 0.083374f, 0.100159f, 0.120728f, 0.145874f, 0.177612f, 0.216187f, 0.262695f, 0.316650f,
		0.377686f, 0.443115f, 0.509766f, 0.575195f, 0.635742f, 0.691406f, 0.738281f, 0.779785f, 0.813965f, 0.843750f, 0.866699f, 0.887207f,
		0.904297f, 0.918945f, 0.930176f, 0.940918f, 0.948730f, 0.956055f, 0.984375f, 0.985840f, 0.985840f, 0.985840f, 0.986328f, 0.985840f,
		0.000242f, 0.000540f, 0.000708f, 0.000830f, 0.001143f, 0.001451f, 0.001861f, 0.002249f, 0.002661f, 0.003010f, 0.003435f, 0.003922f,
		0.004707f, 0.005165f, 0.005787f, 0.006840f, 0.007374f, 0.008545f, 0.009651f, 0.011147f, 0.012581f, 0.014084f, 0.015991f, 0.017899f,
		0.020325f, 0.023392f, 0.026978f, 0.031113f, 0.035919f, 0.042023f, 0.049103f, 0.057831f, 0.068420f, 0.081543f, 0.098145f, 0.118530f,
		0.143921f, 0.175293f, 0.213989f, 0.260742f, 0.316162f, 0.377441f, 0.444336f, 0.512207f, 0.579590f, 0.641113f, 0.696289f, 0.744629f,
		0.786621f, 0.820801f, 0.849609f, 0.872559f, 0.892578f, 0.908691f, 0.922363f, 0.934570f, 0.944336f, 0.951660f, 0.982910f, 0.984375f,
		0.984863f, 0.984863f, 0.985352f, 0.984863f, 0.000106f, 0.000477f, 0.000649f, 0.000901f, 0.001110f, 0.001206f, 0.001630f, 0.002121f,
		0.002192f, 0.002743f, 0.003128f, 0.003538f, 0.003941f, 0.004688f, 0.005276f, 0.005905f, 0.006546f, 0.007568f, 0.008461f, 0.009483f,
		0.010674f, 0.011864f, 0.013649f, 0.015549f, 0.017731f, 0.020111f, 0.023010f, 0.026199f, 0.030304f, 0.035278f, 0.040833f, 0.047821f,
		0.056580f, 0.066895f, 0.079895f, 0.096191f, 0.116760f, 0.141968f, 0.173584f, 0.212646f, 0.260498f, 0.316162f, 0.379883f, 0.447754f,
		0.517578f, 0.584961f, 0.647949f, 0.704102f, 0.752930f, 0.792969f, 0.827148f, 0.855957f, 0.877930f, 0.898438f, 0.914062f, 0.928223f,
		0.938965f, 0.948242f, 0.981445f, 0.983398f, 0.983887f, 0.983887f, 0.983887f, 0.983398f, 0.000208f, 0.000456f, 0.000582f, 0.000788f,
		0.001016f, 0.001428f, 0.001507f, 0.001769f, 0.002203f, 0.002525f, 0.002718f, 0.003187f, 0.003761f, 0.004238f, 0.004635f, 0.005348f,
		0.005901f, 0.006805f, 0.007500f, 0.008545f, 0.009270f, 0.010437f, 0.011742f, 0.013344f, 0.015198f, 0.017242f, 0.019516f, 0.022430f,
		0.025665f, 0.029922f, 0.034180f, 0.040161f, 0.046936f, 0.055420f, 0.065735f, 0.078552f, 0.094666f, 0.114563f, 0.140503f, 0.172485f,
		0.212646f, 0.260986f, 0.318359f, 0.383545f, 0.453125f, 0.524414f, 0.593750f, 0.656738f, 0.712891f, 0.761230f, 0.801270f, 0.835938f,
		0.862305f, 0.885742f, 0.904785f, 0.919922f, 0.933594f, 0.943359f, 0.980469f, 0.982422f, 0.982422f, 0.981934f, 0.982422f, 0.982422f,
		0.000170f, 0.000350f, 0.000583f, 0.000682f, 0.000845f, 0.001036f, 0.001265f, 0.001821f, 0.001953f, 0.002163f, 0.002525f, 0.002771f,
		0.003418f, 0.003729f, 0.004040f, 0.004871f, 0.005188f, 0.005726f, 0.006512f, 0.007130f, 0.008087f, 0.009018f, 0.010216f, 0.011490f,
		0.013084f, 0.014565f, 0.016891f, 0.019073f, 0.021851f, 0.025253f, 0.029022f, 0.033539f, 0.039124f, 0.045563f, 0.054230f, 0.064270f,
		0.077271f, 0.093323f, 0.113403f, 0.139648f, 0.172485f, 0.213379f, 0.262939f, 0.322266f, 0.389404f, 0.461426f, 0.534180f, 0.604492f,
		0.668457f, 0.724609f, 0.772461f, 0.812500f, 0.845703f, 0.872070f, 0.894043f, 0.911621f, 0.926758f, 0.938477f, 0.979004f, 0.980469f,
		0.980957f, 0.980957f, 0.980957f, 0.980957f, 0.000000f, 0.000332f, 0.000583f, 0.000583f, 0.000848f, 0.000959f, 0.001125f, 0.001425f,
		0.001810f, 0.001899f, 0.002300f, 0.002529f, 0.002996f, 0.003162f, 0.003607f, 0.004150f, 0.004761f, 0.005146f, 0.005791f, 0.006329f,
		0.007099f, 0.008110f, 0.008949f, 0.009941f, 0.011253f, 0.012756f, 0.014565f, 0.016434f, 0.018707f, 0.021271f, 0.024475f, 0.028290f,
		0.032745f, 0.037964f, 0.044769f, 0.052795f, 0.063416f, 0.076050f, 0.092102f, 0.113464f, 0.139526f, 0.172974f, 0.214600f, 0.266602f,
		0.327637f, 0.397461f, 0.471191f, 0.546387f, 0.617188f, 0.682129f, 0.737793f, 0.784668f, 0.823730f, 0.854980f, 0.881348f, 0.902344f,
		0.918945f, 0.933105f, 0.977539f, 0.979492f, 0.979492f, 0.979492f, 0.979492f, 0.979492f, 0.000000f, 0.000243f, 0.000553f, 0.000575f,
		0.000591f, 0.000798f, 0.000991f, 0.001234f, 0.001419f, 0.001812f, 0.001935f, 0.002186f, 0.002518f, 0.002975f, 0.003202f, 0.003614f,
		0.004047f, 0.004425f, 0.005013f, 0.005718f, 0.006172f, 0.007046f, 0.007740f, 0.008835f, 0.009819f, 0.011192f, 0.012444f, 0.014114f,
		0.015884f, 0.018204f, 0.020844f, 0.023392f, 0.027420f, 0.031921f, 0.037170f, 0.043610f, 0.052032f, 0.062408f, 0.075256f, 0.091675f,
		0.112610f, 0.140015f, 0.173950f, 0.217651f, 0.271973f, 0.335693f, 0.407715f, 0.484619f, 0.561035f, 0.633789f, 0.698242f, 0.752930f,
		0.798828f, 0.836426f, 0.867676f, 0.891602f, 0.911621f, 0.926270f, 0.975098f, 0.977539f, 0.978516f, 0.977539f, 0.977539f, 0.978027f,
		0.000121f, 0.000121f, 0.000241f, 0.000385f, 0.000684f, 0.000693f, 0.000932f, 0.001156f, 0.001410f, 0.001648f, 0.001893f, 0.002184f,
		0.002367f, 0.002579f, 0.002872f, 0.003319f, 0.003653f, 0.003922f, 0.004425f, 0.004925f, 0.005436f, 0.006180f, 0.006836f, 0.007645f,
		0.008278f, 0.009476f, 0.010788f, 0.012169f, 0.013695f, 0.015305f, 0.017319f, 0.020111f, 0.022858f, 0.026718f, 0.030975f, 0.036255f,
		0.042938f, 0.051270f, 0.061493f, 0.074768f, 0.091187f, 0.112976f, 0.140747f, 0.176392f, 0.222168f, 0.278809f, 0.345703f, 0.421387f,
		0.500488f, 0.578613f, 0.651855f, 0.715820f, 0.769531f, 0.813965f, 0.850586f, 0.878418f, 0.901855f, 0.920410f, 0.973633f, 0.975586f,
		0.976074f, 0.976562f, 0.976562f, 0.975098f, 0.000240f, 0.000120f, 0.000281f, 0.000333f, 0.000498f, 0.000680f, 0.000684f, 0.001083f,
		0.001312f, 0.001618f, 0.001606f, 0.001834f, 0.002087f, 0.002316f, 0.002735f, 0.002792f, 0.003084f, 0.003386f, 0.003944f, 0.004353f,
		0.004761f, 0.005390f, 0.005997f, 0.006615f, 0.007389f, 0.008324f, 0.008987f, 0.010284f, 0.011703f, 0.013382f, 0.014717f, 0.016953f,
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		0.696289f, 0.758301f, 0.808105f, 0.847656f, 0.879395f, 0.903809f, 0.968750f, 0.971191f, 0.972168f, 0.971680f, 0.972168f, 0.971680f,
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		0.315186f, 0.395508f, 0.482910f, 0.570312f, 0.651367f, 0.722168f, 0.781738f, 0.828613f, 0.866211f, 0.895508f, 0.966797f, 0.968750f,
		0.969238f, 0.969727f, 0.969238f, 0.969238f, 0.000000f, 0.000108f, 0.000215f, 0.000346f, 0.000352f, 0.000501f, 0.000783f, 0.000828f,
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		0.093567f, 0.118896f, 0.153931f, 0.200073f, 0.260254f, 0.334473f, 0.420410f, 0.511719f, 0.601562f, 0.682129f, 0.750488f, 0.807617f,
		0.851074f, 0.884277f, 0.963867f, 0.966309f, 0.966797f, 0.966797f, 0.966797f, 0.966797f, 0.000000f, 0.000059f, 0.000292f, 0.000331f,
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		0.005840f, 0.006733f, 0.007511f, 0.008667f, 0.009567f, 0.011032f, 0.012474f, 0.014610f, 0.016739f, 0.019379f, 0.022873f, 0.027252f,
		0.032410f, 0.039062f, 0.048065f, 0.059296f, 0.074646f, 0.094971f, 0.123108f, 0.161011f, 0.211426f, 0.277344f, 0.358154f, 0.450195f,
		0.545410f, 0.636230f, 0.715332f, 0.781250f, 0.832520f, 0.872070f, 0.960449f, 0.962402f, 0.963867f, 0.963379f, 0.962891f, 0.963379f,
		0.000000f, 0.000000f, 0.000098f, 0.000301f, 0.000315f, 0.000566f, 0.000587f, 0.000627f, 0.000643f, 0.000795f, 0.000974f, 0.001023f,
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		0.003380f, 0.003824f, 0.004189f, 0.004353f, 0.004940f, 0.005688f, 0.006409f, 0.007347f, 0.008018f, 0.009163f, 0.010559f, 0.012039f,
		0.013695f, 0.016144f, 0.018723f, 0.022354f, 0.026337f, 0.031433f, 0.038818f, 0.047546f, 0.059662f, 0.075623f, 0.097473f, 0.127808f,
		0.169556f, 0.225830f, 0.299072f, 0.387451f, 0.486084f, 0.583984f, 0.674805f, 0.751465f, 0.812012f, 0.859375f, 0.957031f, 0.958984f,
		0.959473f, 0.959961f, 0.959961f, 0.959961f, 0.000000f, 0.000000f, 0.000004f, 0.000078f, 0.000408f, 0.000432f, 0.000563f, 0.000560f,
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		0.047485f, 0.060303f, 0.077087f, 0.101196f, 0.134521f, 0.180786f, 0.244507f, 0.326172f, 0.423584f, 0.527832f, 0.628418f, 0.716797f,
		0.788086f, 0.843262f, 0.953125f, 0.955566f, 0.955566f, 0.956543f, 0.956055f, 0.956543f, 0.000000f, 0.000000f, 0.000000f, 0.000236f,
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		0.016968f, 0.020401f, 0.024628f, 0.030365f, 0.037567f, 0.047455f, 0.060913f, 0.079529f, 0.105774f, 0.143555f, 0.196167f, 0.268799f,
		0.361084f, 0.467041f, 0.576172f, 0.676758f, 0.760254f, 0.825195f, 0.948242f, 0.951660f, 0.951660f, 0.951660f, 0.951660f, 0.951660f,
		0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000257f, 0.000334f, 0.000390f, 0.000496f, 0.000520f, 0.000539f, 0.000590f, 0.000602f,
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		0.007515f, 0.008331f, 0.009697f, 0.011383f, 0.014000f, 0.016235f, 0.019653f, 0.024185f, 0.029465f, 0.037109f, 0.047699f, 0.062164f,
		0.082642f, 0.112488f, 0.155151f, 0.216919f, 0.300049f, 0.404541f, 0.520020f, 0.631836f, 0.728516f, 0.805664f, 0.943848f, 0.946289f,
		0.946777f, 0.946777f, 0.947266f, 0.947266f, 0.000000f, 0.000000f, 0.000122f, 0.000088f, 0.000219f, 0.000229f, 0.000355f, 0.000414f,
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		0.023026f, 0.028854f, 0.037140f, 0.048035f, 0.064026f, 0.086914f, 0.121033f, 0.171387f, 0.244141f, 0.341797f, 0.458740f, 0.580078f,
		0.691895f, 0.780762f, 0.937988f, 0.940430f, 0.941406f, 0.940918f, 0.941895f, 0.941406f, 0.000000f, 0.000000f, 0.000000f, 0.000080f,
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		0.000694f, 0.000763f, 0.000902f, 0.000998f, 0.001063f, 0.001074f, 0.001128f, 0.001407f, 0.001370f, 0.001449f, 0.001682f, 0.001635f,
		0.001976f, 0.002108f, 0.002335f, 0.002558f, 0.002905f, 0.003176f, 0.003637f, 0.003948f, 0.004650f, 0.005341f, 0.006237f, 0.007034f,
		0.008415f, 0.009811f, 0.012032f, 0.014565f, 0.017731f, 0.022324f, 0.028427f, 0.036713f, 0.048859f, 0.066406f, 0.092957f, 0.133057f,
		0.193848f, 0.281250f, 0.395508f, 0.524902f, 0.648926f, 0.754395f, 0.931152f, 0.934570f, 0.934570f, 0.934570f, 0.935547f, 0.935059f,
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		0.927246f, 0.928223f, 0.927734f, 0.928223f, 0.000000f, 0.000000f, 0.000122f, 0.000121f, 0.000121f, 0.000174f, 0.000156f, 0.000204f,
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		0.084656f, 0.133057f, 0.213013f, 0.334717f, 0.488770f, 0.645996f, 0.905762f, 0.909668f, 0.909668f, 0.909180f, 0.910645f, 0.908691f,
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		0.014305f, 0.019318f, 0.027328f, 0.039856f, 0.061310f, 0.097717f, 0.162354f, 0.270752f, 0.424805f, 0.599609f, 0.894043f, 0.897949f,
		0.898438f, 0.898438f, 0.898926f, 0.898438f, 0.000000f, 0.000121f, 0.000121f, 0.000120f, 0.000119f, 0.000119f, 0.000118f, 0.000118f,
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		0.000379f, 0.000381f, 0.000512f, 0.000427f, 0.000541f, 0.000566f, 0.000547f, 0.000613f, 0.000706f, 0.000660f, 0.000809f, 0.000941f,
		0.000950f, 0.001035f, 0.001069f, 0.001220f, 0.001149f, 0.001314f, 0.001603f, 0.001801f, 0.002062f, 0.002394f, 0.002737f, 0.003057f,
		0.003771f, 0.004471f, 0.005875f, 0.007217f, 0.009651f, 0.013344f, 0.018829f, 0.027710f, 0.043091f, 0.069214f, 0.119141f, 0.210571f,
		0.358398f, 0.544922f, 0.881348f, 0.883789f, 0.885254f, 0.885742f, 0.885254f, 0.885254f, 0.000000f, 0.000121f, 0.000120f, 0.000119f,
		0.000119f, 0.000118f, 0.000117f, 0.000116f, 0.000116f, 0.000110f, 0.000101f, 0.000094f, 0.000087f, 0.000157f, 0.000151f, 0.000168f,
		0.000146f, 0.000219f, 0.000214f, 0.000261f, 0.000313f, 0.000363f, 0.000311f, 0.000415f, 0.000476f, 0.000448f, 0.000429f, 0.000460f,
		0.000481f, 0.000560f, 0.000544f, 0.000695f, 0.000626f, 0.000789f, 0.000877f, 0.000894f, 0.000948f, 0.001177f, 0.001175f, 0.001366f,
		0.001487f, 0.001738f, 0.002008f, 0.002304f, 0.002663f, 0.003250f, 0.004002f, 0.004932f, 0.006416f, 0.008636f, 0.012344f, 0.018127f,
		0.028610f, 0.047150f, 0.083923f, 0.156860f, 0.291260f, 0.487305f, 0.866211f, 0.869141f, 0.870605f, 0.870117f, 0.871094f, 0.870117f,
		0.000000f, 0.000000f, 0.000119f, 0.000118f, 0.000117f, 0.000116f, 0.000115f, 0.000115f, 0.000114f, 0.000114f, 0.000109f, 0.000101f,
		0.000094f, 0.000087f, 0.000081f, 0.000085f, 0.000129f, 0.000150f, 0.000176f, 0.000193f, 0.000216f, 0.000257f, 0.000241f, 0.000302f,
		0.000259f, 0.000299f, 0.000397f, 0.000403f, 0.000384f, 0.000402f, 0.000425f, 0.000582f, 0.000467f, 0.000614f, 0.000660f, 0.000625f,
		0.000650f, 0.000819f, 0.000790f, 0.000879f, 0.001001f, 0.001140f, 0.001403f, 0.001555f, 0.001844f, 0.002213f, 0.002636f, 0.003235f,
		0.004082f, 0.005604f, 0.007896f, 0.011292f, 0.018005f, 0.030472f, 0.055786f, 0.109985f, 0.224976f, 0.421875f, 0.848145f, 0.852539f,
		0.853027f, 0.852539f, 0.852539f, 0.853027f, 0.000000f, 0.000119f, 0.000118f, 0.000116f, 0.000115f, 0.000114f, 0.000113f, 0.000112f,
		0.000111f, 0.000111f, 0.000110f, 0.000108f, 0.000101f, 0.000094f, 0.000088f, 0.000082f, 0.000077f, 0.000109f, 0.000068f, 0.000102f,
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		0.000415f, 0.000371f, 0.000389f, 0.000508f, 0.000463f, 0.000586f, 0.000606f, 0.000649f, 0.000724f, 0.000841f, 0.000910f, 0.001065f,
		0.001236f, 0.001475f, 0.001807f, 0.002138f, 0.002716f, 0.003622f, 0.004921f, 0.006950f, 0.010574f, 0.018433f, 0.034607f, 0.072449f,
		0.163818f, 0.352295f, 0.827637f, 0.831055f, 0.831543f, 0.832031f, 0.833008f, 0.832520f, 0.000120f, 0.000116f, 0.000114f, 0.000113f,
		0.000111f, 0.000110f, 0.000109f, 0.000108f, 0.000107f, 0.000106f, 0.000106f, 0.000105f, 0.000104f, 0.000101f, 0.000094f, 0.000088f,
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		0.285645f, 0.335449f, 0.387939f, 0.441650f, 0.495850f, 0.546875f, 0.595215f, 0.639160f, 0.679199f, 0.715820f, 0.746582f, 0.774414f,
		0.798828f, 0.819824f, 0.837402f, 0.854492f, 0.869629f, 0.881348f, 0.893066f, 0.902832f, 0.912109f, 0.918945f, 0.926758f, 0.933105f,
		0.938477f, 0.943359f, 0.948730f, 0.952637f, 0.956055f, 0.960449f, 0.963379f, 0.966797f, 0.969238f, 0.972656f, 0.975098f, 0.977051f,
		0.979004f, 0.981445f, 0.982910f, 0.984375f, 0.986328f, 0.987305f, 0.994629f, 0.995605f, 0.995117f, 0.995117f, 0.995117f, 0.994629f,
		0.001187f, 0.004314f, 0.007740f, 0.011337f, 0.016373f, 0.021759f, 0.028198f, 0.035889f, 0.045197f, 0.056580f, 0.069946f, 0.085938f,
		0.105408f, 0.128784f, 0.155884f, 0.187866f, 0.225830f, 0.268066f, 0.315186f, 0.365479f, 0.418213f, 0.471680f, 0.522949f, 0.572754f,
		0.617676f, 0.659668f, 0.697754f, 0.730957f, 0.760742f, 0.787109f, 0.809570f, 0.830078f, 0.846680f, 0.862793f, 0.875488f, 0.888184f,
		0.898926f, 0.907715f, 0.916016f, 0.923340f, 0.930664f, 0.936523f, 0.941895f, 0.947754f, 0.951660f, 0.955566f, 0.959473f, 0.963867f,
		0.966309f, 0.969238f, 0.972168f, 0.974121f, 0.976562f, 0.979004f, 0.980957f, 0.982910f, 0.984863f, 0.986816f, 0.994141f, 0.994629f,
		0.994629f, 0.994629f, 0.994629f, 0.994141f, 0.001187f, 0.003733f, 0.006496f, 0.009918f, 0.013634f, 0.017899f, 0.023026f, 0.029343f,
		0.036621f, 0.045227f, 0.055786f, 0.068298f, 0.083740f, 0.101135f, 0.122314f, 0.147827f, 0.177612f, 0.212891f, 0.252686f, 0.297119f,
		0.345215f, 0.395996f, 0.448730f, 0.500488f, 0.550781f, 0.597656f, 0.641113f, 0.680664f, 0.716309f, 0.747559f, 0.774414f, 0.799316f,
		0.820312f, 0.838867f, 0.855957f, 0.870117f, 0.883301f, 0.894531f, 0.904785f, 0.913086f, 0.920898f, 0.928223f, 0.935059f, 0.940430f,
		0.945312f, 0.950684f, 0.955566f, 0.958496f, 0.962891f, 0.965820f, 0.968750f, 0.971680f, 0.974609f, 0.976562f, 0.978516f, 0.980957f,
		0.982910f, 0.984863f, 0.994141f, 0.994141f, 0.994629f, 0.994141f, 0.994141f, 0.994629f, 0.000998f, 0.003178f, 0.005444f, 0.008179f,
		0.011337f, 0.015091f, 0.019058f, 0.024368f, 0.029587f, 0.037140f, 0.045197f, 0.055115f, 0.066772f, 0.080688f, 0.097229f, 0.117371f,
		0.140869f, 0.169312f, 0.201538f, 0.238770f, 0.280762f, 0.326660f, 0.376709f, 0.427490f, 0.479248f, 0.530273f, 0.578613f, 0.623535f,
		0.664551f, 0.701660f, 0.733887f, 0.763672f, 0.790039f, 0.812500f, 0.832520f, 0.849121f, 0.865234f, 0.878906f, 0.890625f, 0.901367f,
		0.910645f, 0.919434f, 0.926758f, 0.933105f, 0.939453f, 0.944824f, 0.949707f, 0.954590f, 0.958008f, 0.961914f, 0.965332f, 0.968750f,
		0.971680f, 0.974121f, 0.977051f, 0.979004f, 0.980957f, 0.982910f, 0.993164f, 0.993164f, 0.994141f, 0.993652f, 0.993652f, 0.993164f,
		0.000948f, 0.002638f, 0.004784f, 0.007153f, 0.009590f, 0.012505f, 0.016388f, 0.020599f, 0.025299f, 0.031097f, 0.037323f, 0.045197f,
		0.054047f, 0.065002f, 0.078674f, 0.094055f, 0.112305f, 0.134399f, 0.160889f, 0.191040f, 0.226318f, 0.265869f, 0.310303f, 0.358154f,
		0.409180f, 0.459473f, 0.510254f, 0.559082f, 0.606445f, 0.648926f, 0.687500f, 0.722168f, 0.753418f, 0.781250f, 0.804199f, 0.825684f,
		0.843262f, 0.860840f, 0.874512f, 0.886719f, 0.898926f, 0.907227f, 0.916992f, 0.924805f, 0.932129f, 0.937988f, 0.943848f, 0.949219f,
		0.954102f, 0.958496f, 0.961426f, 0.965332f, 0.968750f, 0.972168f, 0.974609f, 0.977051f, 0.979492f, 0.981445f, 0.992188f, 0.993164f,
		0.993164f, 0.993164f, 0.993164f, 0.992676f, 0.000696f, 0.002352f, 0.004002f, 0.006138f, 0.008446f, 0.010826f, 0.013840f, 0.017258f,
		0.021194f, 0.025970f, 0.031128f, 0.037140f, 0.044281f, 0.053436f, 0.063660f, 0.076050f, 0.090271f, 0.107727f, 0.128662f, 0.152832f,
		0.182007f, 0.214111f, 0.252930f, 0.295166f, 0.341553f, 0.390625f, 0.442139f, 0.492676f, 0.541992f, 0.589844f, 0.633301f, 0.674316f,
		0.710938f, 0.743652f, 0.772461f, 0.796875f, 0.819824f, 0.839355f, 0.854980f, 0.870605f, 0.884277f, 0.895508f, 0.906738f, 0.915527f,
		0.923828f, 0.931152f, 0.937500f, 0.944336f, 0.949219f, 0.953613f, 0.958008f, 0.962402f, 0.965332f, 0.968750f, 0.972168f, 0.974609f,
		0.977051f, 0.979980f, 0.991211f, 0.992676f, 0.992188f, 0.992188f, 0.992188f, 0.992676f, 0.000838f, 0.002033f, 0.003664f, 0.005077f,
		0.007282f, 0.009415f, 0.011749f, 0.014931f, 0.017853f, 0.021606f, 0.025864f, 0.031219f, 0.037231f, 0.044464f, 0.052338f, 0.062500f,
		0.073853f, 0.087463f, 0.104065f, 0.123230f, 0.146362f, 0.173340f, 0.205078f, 0.240845f, 0.281982f, 0.326660f, 0.374756f, 0.425049f,
		0.476807f, 0.526855f, 0.574219f, 0.620117f, 0.662598f, 0.699219f, 0.733398f, 0.764160f, 0.791016f, 0.813965f, 0.833984f, 0.851074f,
		0.867676f, 0.880859f, 0.893555f, 0.904785f, 0.914062f, 0.922852f, 0.930176f, 0.937012f, 0.942383f, 0.948242f, 0.953125f, 0.957520f,
		0.962402f, 0.966309f, 0.969238f, 0.973145f, 0.975098f, 0.978027f, 0.991699f, 0.991699f, 0.992676f, 0.992188f, 0.991699f, 0.992188f,
		0.000600f, 0.001687f, 0.003023f, 0.004963f, 0.006405f, 0.008163f, 0.010368f, 0.012718f, 0.015480f, 0.018311f, 0.022064f, 0.026169f,
		0.031097f, 0.036926f, 0.043457f, 0.051392f, 0.060669f, 0.071350f, 0.084473f, 0.100220f, 0.118103f, 0.140259f, 0.166016f, 0.195679f,
		0.230469f, 0.269531f, 0.313232f, 0.360596f, 0.410156f, 0.460693f, 0.511719f, 0.560547f, 0.607422f, 0.650879f, 0.689941f, 0.724609f,
		0.756348f, 0.784180f, 0.808594f, 0.828613f, 0.847656f, 0.864258f, 0.879395f, 0.892090f, 0.903320f, 0.912598f, 0.921875f, 0.929688f,
		0.936523f, 0.942871f, 0.947754f, 0.953125f, 0.957520f, 0.961914f, 0.966309f, 0.969238f, 0.972656f, 0.975586f, 0.990234f, 0.991211f,
		0.991211f, 0.991699f, 0.991211f, 0.991211f, 0.000269f, 0.001538f, 0.002800f, 0.003868f, 0.005524f, 0.007179f, 0.008987f, 0.011063f,
		0.013084f, 0.015747f, 0.019211f, 0.022324f, 0.026474f, 0.031311f, 0.036530f, 0.042969f, 0.050201f, 0.059174f, 0.069641f, 0.081543f,
		0.096680f, 0.114075f, 0.134644f, 0.158691f, 0.187622f, 0.220581f, 0.258301f, 0.300781f, 0.347168f, 0.395996f, 0.447266f, 0.498291f,
		0.547852f, 0.595215f, 0.640625f, 0.680176f, 0.717285f, 0.749512f, 0.778320f, 0.803223f, 0.825684f, 0.845215f, 0.862793f, 0.877441f,
		0.890625f, 0.901855f, 0.912109f, 0.920898f, 0.929688f, 0.937012f, 0.942871f, 0.949707f, 0.954102f, 0.958496f, 0.962402f, 0.966309f,
		0.970215f, 0.974121f, 0.989746f, 0.990234f, 0.990723f, 0.990723f, 0.990723f, 0.990234f, 0.000341f, 0.001337f, 0.002573f, 0.003475f,
		0.004765f, 0.006329f, 0.007717f, 0.009499f, 0.011642f, 0.014107f, 0.016556f, 0.019470f, 0.022491f, 0.026169f, 0.030945f, 0.036011f,
		0.042389f, 0.049042f, 0.057678f, 0.067993f, 0.079468f, 0.093384f, 0.110046f, 0.129883f, 0.152710f, 0.180420f, 0.212158f, 0.248291f,
		0.289551f, 0.334961f, 0.383301f, 0.434570f, 0.485596f, 0.536133f, 0.584473f, 0.630371f, 0.671875f, 0.710449f, 0.743652f, 0.773926f,
		0.799316f, 0.823242f, 0.843262f, 0.860352f, 0.875977f, 0.889648f, 0.901367f, 0.911621f, 0.921387f, 0.929688f, 0.937012f, 0.943848f,
		0.950195f, 0.955078f, 0.959473f, 0.963379f, 0.967773f, 0.971191f, 0.988770f, 0.989746f, 0.990234f, 0.990234f, 0.990234f, 0.990234f,
		0.000564f, 0.001324f, 0.002092f, 0.003191f, 0.004471f, 0.005348f, 0.007069f, 0.008438f, 0.010201f, 0.011810f, 0.014297f, 0.016586f,
		0.019470f, 0.022644f, 0.026428f, 0.030579f, 0.035797f, 0.041718f, 0.048248f, 0.056213f, 0.065857f, 0.076782f, 0.090271f, 0.106262f,
		0.125122f, 0.147095f, 0.173462f, 0.204224f, 0.239746f, 0.279785f, 0.323730f, 0.372314f, 0.422607f, 0.474121f, 0.526367f, 0.575195f,
		0.621582f, 0.664062f, 0.703613f, 0.738770f, 0.769043f, 0.796387f, 0.820312f, 0.841797f, 0.858887f, 0.875488f, 0.889648f, 0.900879f,
		0.912598f, 0.921875f, 0.930664f, 0.937500f, 0.944336f, 0.950195f, 0.955566f, 0.959961f, 0.964844f, 0.968750f, 0.987305f, 0.989258f,
		0.989258f, 0.989258f, 0.989258f, 0.988770f, 0.000369f, 0.001128f, 0.001871f, 0.002792f, 0.003712f, 0.004723f, 0.006016f, 0.007542f,
		0.008896f, 0.010773f, 0.012421f, 0.014381f, 0.016632f, 0.019791f, 0.022354f, 0.025955f, 0.030609f, 0.035065f, 0.040924f, 0.047333f,
		0.055084f, 0.064209f, 0.075012f, 0.087769f, 0.102966f, 0.120911f, 0.142456f, 0.167358f, 0.197144f, 0.231812f, 0.270752f, 0.314209f,
		0.362549f, 0.412598f, 0.464844f, 0.515625f, 0.566895f, 0.614258f, 0.657715f, 0.698730f, 0.734863f, 0.766602f, 0.794922f, 0.818848f,
		0.839844f, 0.858887f, 0.875000f, 0.889648f, 0.901855f, 0.912598f, 0.922852f, 0.931152f, 0.938965f, 0.945312f, 0.951660f, 0.957520f,
		0.961426f, 0.966309f, 0.986816f, 0.988281f, 0.988281f, 0.988770f, 0.988281f, 0.988281f, 0.000466f, 0.000900f, 0.001792f, 0.002695f,
		0.003458f, 0.004204f, 0.005356f, 0.006512f, 0.007896f, 0.009300f, 0.010895f, 0.012459f, 0.014786f, 0.016739f, 0.019424f, 0.022461f,
		0.026062f, 0.029831f, 0.034851f, 0.039764f, 0.046417f, 0.053711f, 0.062164f, 0.072388f, 0.085205f, 0.099365f, 0.117004f, 0.137573f,
		0.162231f, 0.190674f, 0.224121f, 0.262451f, 0.305664f, 0.353027f, 0.403809f, 0.456055f, 0.508301f, 0.559082f, 0.608398f, 0.652832f,
		0.694824f, 0.731445f, 0.764160f, 0.793945f, 0.817871f, 0.839355f, 0.858398f, 0.875488f, 0.890137f, 0.902832f, 0.913574f, 0.923828f,
		0.932617f, 0.940918f, 0.946777f, 0.953613f, 0.958984f, 0.963379f, 0.985840f, 0.987305f, 0.987305f, 0.987793f, 0.987305f, 0.987305f,
		0.000234f, 0.001040f, 0.001661f, 0.002392f, 0.003101f, 0.003681f, 0.004944f, 0.005844f, 0.007065f, 0.008217f, 0.009247f, 0.010925f,
		0.012894f, 0.014549f, 0.017090f, 0.019455f, 0.022385f, 0.025650f, 0.029449f, 0.033936f, 0.039215f, 0.045135f, 0.052612f, 0.060944f,
		0.070312f, 0.082397f, 0.096924f, 0.113525f, 0.133179f, 0.156860f, 0.184814f, 0.217773f, 0.255127f, 0.298340f, 0.345215f, 0.395996f,
		0.448242f, 0.501953f, 0.553223f, 0.603516f, 0.649414f, 0.691895f, 0.729980f, 0.763184f, 0.792480f, 0.818359f, 0.841309f, 0.858887f,
		0.877441f, 0.891113f, 0.904785f, 0.915527f, 0.925781f, 0.933594f, 0.941895f, 0.949219f, 0.955566f, 0.960449f, 0.984863f, 0.985840f,
		0.986328f, 0.986816f, 0.986328f, 0.986816f, 0.000241f, 0.000808f, 0.001395f, 0.001986f, 0.002731f, 0.003429f, 0.004131f, 0.005402f,
		0.006077f, 0.007347f, 0.008522f, 0.009544f, 0.011345f, 0.013046f, 0.014534f, 0.016953f, 0.019241f, 0.022339f, 0.025208f, 0.029175f,
		0.033691f, 0.038300f, 0.044067f, 0.051331f, 0.059143f, 0.068726f, 0.080322f, 0.093567f, 0.109802f, 0.129883f, 0.152466f, 0.179810f,
		0.211792f, 0.249390f, 0.291748f, 0.338623f, 0.389404f, 0.442139f, 0.496338f, 0.548340f, 0.599121f, 0.645996f, 0.689941f, 0.728516f,
		0.762695f, 0.792969f, 0.818848f, 0.842285f, 0.862793f, 0.878906f, 0.894043f, 0.906250f, 0.917969f, 0.927734f, 0.935547f, 0.944336f,
		0.951172f, 0.957031f, 0.983398f, 0.985352f, 0.985840f, 0.985352f, 0.985840f, 0.985352f, 0.000340f, 0.000735f, 0.001377f, 0.001853f,
		0.002382f, 0.003159f, 0.004021f, 0.004642f, 0.005604f, 0.006340f, 0.007298f, 0.008591f, 0.009895f, 0.011154f, 0.012871f, 0.014580f,
		0.016876f, 0.019180f, 0.022141f, 0.024979f, 0.028748f, 0.032745f, 0.037964f, 0.043213f, 0.050171f, 0.057831f, 0.066833f, 0.078247f,
		0.091553f, 0.107178f, 0.125977f, 0.148315f, 0.175415f, 0.207153f, 0.244019f, 0.286377f, 0.333008f, 0.383789f, 0.437744f, 0.491943f,
		0.545410f, 0.597168f, 0.645508f, 0.688965f, 0.729004f, 0.764160f, 0.794434f, 0.821289f, 0.843750f, 0.864258f, 0.881348f, 0.895996f,
		0.909180f, 0.920898f, 0.929199f, 0.938965f, 0.946777f, 0.952637f, 0.982910f, 0.983887f, 0.984863f, 0.984863f, 0.984375f, 0.984863f,
		0.000236f, 0.000605f, 0.001135f, 0.001415f, 0.002329f, 0.002747f, 0.003551f, 0.004158f, 0.004723f, 0.005535f, 0.006687f, 0.007534f,
		0.008545f, 0.009979f, 0.011375f, 0.012993f, 0.014656f, 0.016754f, 0.018921f, 0.021759f, 0.024506f, 0.028183f, 0.032043f, 0.036743f,
		0.042236f, 0.048645f, 0.056030f, 0.065125f, 0.075928f, 0.089050f, 0.104370f, 0.122681f, 0.145142f, 0.171509f, 0.202759f, 0.239258f,
		0.281250f, 0.328369f, 0.379639f, 0.433838f, 0.489014f, 0.543945f, 0.596191f, 0.645020f, 0.690430f, 0.730957f, 0.766113f, 0.797852f,
		0.824219f, 0.846680f, 0.867188f, 0.884766f, 0.899414f, 0.912109f, 0.923828f, 0.933105f, 0.942383f, 0.949707f, 0.980957f, 0.982910f,
		0.983398f, 0.983398f, 0.983887f, 0.982910f, 0.000214f, 0.000710f, 0.001021f, 0.001429f, 0.001858f, 0.002607f, 0.003220f, 0.003738f,
		0.004459f, 0.005032f, 0.005726f, 0.006748f, 0.007748f, 0.008659f, 0.010002f, 0.011368f, 0.012985f, 0.014656f, 0.016525f, 0.018921f,
		0.021286f, 0.024231f, 0.027649f, 0.031464f, 0.035858f, 0.041321f, 0.047363f, 0.054840f, 0.063538f, 0.074097f, 0.086609f, 0.101990f,
		0.120117f, 0.141846f, 0.168213f, 0.199219f, 0.235352f, 0.277344f, 0.324707f, 0.376953f, 0.432373f, 0.488037f, 0.543457f, 0.597168f,
		0.646973f, 0.692871f, 0.732910f, 0.769531f, 0.801270f, 0.828125f, 0.850586f, 0.871582f, 0.888184f, 0.903809f, 0.915527f, 0.927246f,
		0.936523f, 0.946289f, 0.979492f, 0.981445f, 0.981934f, 0.982422f, 0.981934f, 0.981934f, 0.000000f, 0.000468f, 0.001076f, 0.001489f,
		0.002048f, 0.002413f, 0.002853f, 0.003468f, 0.003952f, 0.004444f, 0.005211f, 0.005917f, 0.006733f, 0.007763f, 0.008713f, 0.010262f,
		0.011368f, 0.012733f, 0.014458f, 0.016296f, 0.018478f, 0.021072f, 0.023666f, 0.026810f, 0.030746f, 0.035278f, 0.040131f, 0.046295f,
		0.053711f, 0.062195f, 0.072327f, 0.084717f, 0.099487f, 0.117371f, 0.139038f, 0.164795f, 0.195923f, 0.232422f, 0.274414f, 0.322266f,
		0.374756f, 0.431641f, 0.488525f, 0.545410f, 0.599121f, 0.650879f, 0.697754f, 0.738770f, 0.774414f, 0.806641f, 0.832520f, 0.856445f,
		0.875488f, 0.893555f, 0.907715f, 0.920410f, 0.931152f, 0.940918f, 0.978027f, 0.980469f, 0.980469f, 0.980957f, 0.980957f, 0.980957f,
		0.000279f, 0.000497f, 0.000763f, 0.001353f, 0.001794f, 0.002079f, 0.002451f, 0.002956f, 0.003498f, 0.004150f, 0.004589f, 0.005310f,
		0.006130f, 0.006958f, 0.007828f, 0.008888f, 0.009895f, 0.011124f, 0.012772f, 0.014282f, 0.016235f, 0.018127f, 0.020630f, 0.022873f,
		0.026321f, 0.029938f, 0.034241f, 0.039368f, 0.045319f, 0.052338f, 0.060852f, 0.070801f, 0.082947f, 0.097595f, 0.115051f, 0.136353f,
		0.162231f, 0.193481f, 0.229858f, 0.272217f, 0.321777f, 0.375000f, 0.432373f, 0.490479f, 0.548340f, 0.604004f, 0.655762f, 0.702637f,
		0.743652f, 0.780273f, 0.812500f, 0.838867f, 0.862305f, 0.881348f, 0.897949f, 0.912598f, 0.925293f, 0.935547f, 0.976562f, 0.978516f,
		0.979492f, 0.979980f, 0.979492f, 0.979004f, 0.000110f, 0.000473f, 0.000781f, 0.001262f, 0.001584f, 0.001890f, 0.002270f, 0.002607f,
		0.003241f, 0.003704f, 0.004055f, 0.004795f, 0.005356f, 0.005997f, 0.006760f, 0.007896f, 0.008896f, 0.009918f, 0.011200f, 0.012451f,
		0.013802f, 0.015556f, 0.017838f, 0.020065f, 0.022751f, 0.025864f, 0.029358f, 0.033600f, 0.038574f, 0.044342f, 0.050995f, 0.059296f,
		0.069214f, 0.081116f, 0.095459f, 0.113159f, 0.133911f, 0.160400f, 0.191406f, 0.228638f, 0.272217f, 0.321289f, 0.375732f, 0.434326f,
		0.493896f, 0.552734f, 0.609863f, 0.662109f, 0.709961f, 0.750977f, 0.787598f, 0.819336f, 0.846680f, 0.868164f, 0.887695f, 0.904297f,
		0.917969f, 0.930176f, 0.975098f, 0.977539f, 0.977051f, 0.977539f, 0.977539f, 0.977539f, 0.000242f, 0.000464f, 0.000831f, 0.001027f,
		0.001271f, 0.001722f, 0.001965f, 0.002243f, 0.002714f, 0.003036f, 0.003651f, 0.004025f, 0.004902f, 0.005638f, 0.006176f, 0.006943f,
		0.007763f, 0.008789f, 0.009804f, 0.010872f, 0.012070f, 0.013695f, 0.015381f, 0.017395f, 0.019608f, 0.022232f, 0.025009f, 0.028885f,
		0.032623f, 0.037659f, 0.043182f, 0.050018f, 0.058167f, 0.067810f, 0.079224f, 0.093811f, 0.111328f, 0.132324f, 0.158569f, 0.190063f,
		0.228149f, 0.271973f, 0.322510f, 0.378906f, 0.438477f, 0.499756f, 0.560059f, 0.618164f, 0.671387f, 0.718750f, 0.760742f, 0.796875f,
		0.826660f, 0.854492f, 0.875000f, 0.894531f, 0.911133f, 0.923828f, 0.973145f, 0.976074f, 0.975586f, 0.976074f, 0.976074f, 0.977051f,
		0.000242f, 0.000552f, 0.000701f, 0.001063f, 0.001186f, 0.001462f, 0.001690f, 0.002340f, 0.002703f, 0.002728f, 0.003325f, 0.003828f,
		0.004333f, 0.004913f, 0.005474f, 0.006077f, 0.006943f, 0.007607f, 0.008553f, 0.009460f, 0.010582f, 0.011871f, 0.013451f, 0.015091f,
		0.016983f, 0.019165f, 0.021637f, 0.024673f, 0.027863f, 0.031525f, 0.036713f, 0.041962f, 0.048615f, 0.056396f, 0.066162f, 0.077942f,
		0.092590f, 0.110046f, 0.130981f, 0.157593f, 0.189331f, 0.228394f, 0.273926f, 0.325684f, 0.383301f, 0.444580f, 0.507324f, 0.569824f,
		0.627441f, 0.682129f, 0.729980f, 0.770508f, 0.807129f, 0.837402f, 0.863281f, 0.884766f, 0.902832f, 0.917969f, 0.971191f, 0.973633f,
		0.974609f, 0.974121f, 0.974609f, 0.974609f, 0.000239f, 0.000239f, 0.000658f, 0.000899f, 0.001204f, 0.001252f, 0.001629f, 0.001815f,
		0.002470f, 0.002430f, 0.003134f, 0.003321f, 0.003925f, 0.004238f, 0.004856f, 0.005341f, 0.006161f, 0.006615f, 0.007511f, 0.008224f,
		0.009277f, 0.010445f, 0.011818f, 0.013046f, 0.014473f, 0.016510f, 0.018814f, 0.021057f, 0.023834f, 0.027237f, 0.030853f, 0.035675f,
		0.040894f, 0.047241f, 0.055145f, 0.064758f, 0.076782f, 0.090942f, 0.108398f, 0.130371f, 0.157104f, 0.189819f, 0.229248f, 0.276367f,
		0.329834f, 0.390137f, 0.453125f, 0.517578f, 0.580566f, 0.640625f, 0.694336f, 0.741699f, 0.782715f, 0.817871f, 0.848145f, 0.872559f,
		0.893555f, 0.910645f, 0.969727f, 0.971191f, 0.972656f, 0.972168f, 0.972168f, 0.972168f, 0.000222f, 0.000463f, 0.000620f, 0.000837f,
		0.000900f, 0.001048f, 0.001381f, 0.001820f, 0.001957f, 0.002329f, 0.002747f, 0.002964f, 0.003330f, 0.003986f, 0.004322f, 0.004677f,
		0.005302f, 0.005760f, 0.006569f, 0.007359f, 0.008141f, 0.009293f, 0.010101f, 0.011452f, 0.012779f, 0.014496f, 0.016144f, 0.018097f,
		0.020157f, 0.023148f, 0.026611f, 0.029785f, 0.034515f, 0.039856f, 0.046478f, 0.054016f, 0.063843f, 0.075378f, 0.089233f, 0.107666f,
		0.129639f, 0.156860f, 0.190674f, 0.231445f, 0.280518f, 0.336426f, 0.398193f, 0.463379f, 0.530273f, 0.595215f, 0.654785f, 0.708984f,
		0.755371f, 0.796875f, 0.831543f, 0.860352f, 0.883789f, 0.903809f, 0.966797f, 0.968750f, 0.969727f, 0.970215f, 0.970215f, 0.969727f,
		0.000000f, 0.000345f, 0.000464f, 0.000686f, 0.000782f, 0.001030f, 0.001139f, 0.001598f, 0.001846f, 0.002237f, 0.002489f, 0.002684f,
		0.003067f, 0.003344f, 0.003895f, 0.004158f, 0.004845f, 0.005131f, 0.005886f, 0.006561f, 0.007195f, 0.007912f, 0.008965f, 0.009941f,
		0.010956f, 0.012383f, 0.013893f, 0.015602f, 0.017303f, 0.019623f, 0.022156f, 0.025452f, 0.028976f, 0.033722f, 0.038910f, 0.045288f,
		0.052887f, 0.062561f, 0.074097f, 0.088623f, 0.106812f, 0.129639f, 0.157715f, 0.192261f, 0.235107f, 0.285889f, 0.344482f, 0.408691f,
		0.476807f, 0.545410f, 0.610840f, 0.671387f, 0.725098f, 0.771484f, 0.811035f, 0.843750f, 0.871582f, 0.894043f, 0.964355f, 0.967285f,
		0.967285f, 0.967773f, 0.967773f, 0.967773f, 0.000000f, 0.000320f, 0.000576f, 0.000572f, 0.000767f, 0.000945f, 0.001066f, 0.001375f,
		0.001848f, 0.001980f, 0.002190f, 0.002399f, 0.002695f, 0.002943f, 0.003397f, 0.003664f, 0.004063f, 0.004566f, 0.005119f, 0.005688f,
		0.006130f, 0.007057f, 0.007778f, 0.008675f, 0.009590f, 0.010666f, 0.011971f, 0.013443f, 0.015129f, 0.016953f, 0.018875f, 0.021576f,
		0.024658f, 0.028488f, 0.032959f, 0.037811f, 0.043793f, 0.051819f, 0.061371f, 0.073181f, 0.088257f, 0.106506f, 0.129883f, 0.159180f,
		0.195679f, 0.240479f, 0.293457f, 0.355225f, 0.422852f, 0.492432f, 0.563477f, 0.629883f, 0.690918f, 0.743652f, 0.789062f, 0.827148f,
		0.858398f, 0.884277f, 0.961914f, 0.964844f, 0.964355f, 0.964844f, 0.964355f, 0.965332f, 0.000000f, 0.000242f, 0.000435f, 0.000547f,
		0.000688f, 0.000803f, 0.001175f, 0.001318f, 0.001593f, 0.001652f, 0.001961f, 0.002209f, 0.002481f, 0.002716f, 0.002911f, 0.003210f,
		0.003595f, 0.004005f, 0.004490f, 0.004894f, 0.005508f, 0.006107f, 0.006714f, 0.007462f, 0.008438f, 0.009277f, 0.010170f, 0.011436f,
		0.012756f, 0.014145f, 0.016205f, 0.018433f, 0.020966f, 0.023819f, 0.027405f, 0.031464f, 0.036713f, 0.043152f, 0.050842f, 0.060577f,
		0.071960f, 0.087219f, 0.106689f, 0.130371f, 0.161377f, 0.199585f, 0.246948f, 0.303467f, 0.367920f, 0.439697f, 0.512207f, 0.584473f,
		0.651855f, 0.712402f, 0.764160f, 0.808105f, 0.844727f, 0.875000f, 0.958008f, 0.961426f, 0.961914f, 0.961914f, 0.962402f, 0.961914f,
		0.000000f, 0.000237f, 0.000266f, 0.000387f, 0.000557f, 0.000691f, 0.000774f, 0.001221f, 0.001455f, 0.001492f, 0.001769f, 0.001896f,
		0.002151f, 0.002386f, 0.002529f, 0.002911f, 0.003147f, 0.003523f, 0.003862f, 0.004311f, 0.004848f, 0.005260f, 0.005795f, 0.006416f,
		0.007114f, 0.007942f, 0.008667f, 0.009666f, 0.010818f, 0.012184f, 0.013718f, 0.015541f, 0.017685f, 0.020126f, 0.023056f, 0.026306f,
		0.030853f, 0.035797f, 0.042053f, 0.049683f, 0.059784f, 0.072144f, 0.086914f, 0.106873f, 0.132202f, 0.164429f, 0.205200f, 0.255615f,
		0.315918f, 0.384521f, 0.458984f, 0.534668f, 0.607910f, 0.676758f, 0.735840f, 0.785645f, 0.828125f, 0.862305f, 0.955566f, 0.958008f,
		0.958984f, 0.958496f, 0.958984f, 0.958984f, 0.000000f, 0.000119f, 0.000234f, 0.000484f, 0.000603f, 0.000758f, 0.000934f, 0.000999f,
		0.001200f, 0.001343f, 0.001534f, 0.001725f, 0.001860f, 0.002056f, 0.002235f, 0.002445f, 0.002783f, 0.003115f, 0.003448f, 0.003757f,
		0.004192f, 0.004723f, 0.005077f, 0.005653f, 0.006172f, 0.006527f, 0.007328f, 0.008247f, 0.009140f, 0.010368f, 0.011711f, 0.013351f,
		0.014702f, 0.016937f, 0.019226f, 0.022156f, 0.025604f, 0.029877f, 0.034668f, 0.040710f, 0.048920f, 0.058624f, 0.071289f, 0.087219f,
		0.107727f, 0.134521f, 0.168701f, 0.212769f, 0.267090f, 0.331543f, 0.404785f, 0.482910f, 0.561523f, 0.635742f, 0.702637f, 0.760742f,
		0.809570f, 0.849121f, 0.951660f, 0.954590f, 0.955566f, 0.955566f, 0.956055f, 0.955566f, 0.000238f, 0.000218f, 0.000229f, 0.000242f,
		0.000313f, 0.000859f, 0.000623f, 0.000978f, 0.001021f, 0.001150f, 0.001320f, 0.001431f, 0.001546f, 0.001746f, 0.001895f, 0.002106f,
		0.002502f, 0.002630f, 0.002926f, 0.003296f, 0.003651f, 0.003918f, 0.004391f, 0.004910f, 0.005249f, 0.005558f, 0.006413f, 0.007114f,
		0.007866f, 0.008789f, 0.009872f, 0.011093f, 0.012413f, 0.013939f, 0.015945f, 0.018692f, 0.021225f, 0.024643f, 0.028687f, 0.033936f,
		0.040192f, 0.047791f, 0.058014f, 0.070923f, 0.087585f, 0.109131f, 0.137573f, 0.174683f, 0.222290f, 0.280762f, 0.350830f, 0.428955f,
		0.511230f, 0.592285f, 0.666992f, 0.733398f, 0.789062f, 0.834473f, 0.947754f, 0.951172f, 0.951660f, 0.951172f, 0.951660f, 0.951172f,
		0.000000f, 0.000205f, 0.000222f, 0.000344f, 0.000301f, 0.000775f, 0.000827f, 0.000719f, 0.000944f, 0.000976f, 0.001306f, 0.001249f,
		0.001404f, 0.001569f, 0.001604f, 0.001819f, 0.002182f, 0.002354f, 0.002569f, 0.002857f, 0.003113f, 0.003426f, 0.003649f, 0.004112f,
		0.004307f, 0.004925f, 0.005508f, 0.005802f, 0.006565f, 0.007450f, 0.008125f, 0.009079f, 0.010269f, 0.011665f, 0.013565f, 0.015213f,
		0.017410f, 0.020203f, 0.023743f, 0.028168f, 0.032684f, 0.039062f, 0.047058f, 0.057404f, 0.070984f, 0.088623f, 0.111389f, 0.142090f,
		0.182373f, 0.234253f, 0.298828f, 0.375000f, 0.458008f, 0.543945f, 0.627441f, 0.702148f, 0.765137f, 0.818359f, 0.942871f, 0.946289f,
		0.947266f, 0.947266f, 0.946777f, 0.947266f, 0.000064f, 0.000095f, 0.000197f, 0.000213f, 0.000459f, 0.000491f, 0.000647f, 0.000696f,
		0.000884f, 0.000911f, 0.001121f, 0.001115f, 0.001234f, 0.001371f, 0.001410f, 0.001743f, 0.001905f, 0.002016f, 0.002207f, 0.002438f,
		0.002714f, 0.002939f, 0.003183f, 0.003323f, 0.003727f, 0.004143f, 0.004555f, 0.005276f, 0.005531f, 0.006264f, 0.006702f, 0.007572f,
		0.008705f, 0.009712f, 0.011238f, 0.012650f, 0.014320f, 0.016815f, 0.019516f, 0.022400f, 0.026566f, 0.031799f, 0.038055f, 0.046417f,
		0.057037f, 0.071350f, 0.089722f, 0.114868f, 0.148193f, 0.192749f, 0.249878f, 0.321045f, 0.404053f, 0.493408f, 0.583008f, 0.666016f,
		0.739258f, 0.799316f, 0.937988f, 0.941406f, 0.941895f, 0.942383f, 0.942383f, 0.942383f, 0.000000f, 0.000007f, 0.000144f, 0.000427f,
		0.000443f, 0.000566f, 0.000589f, 0.000615f, 0.000725f, 0.000731f, 0.000896f, 0.000953f, 0.001062f, 0.001167f, 0.001344f, 0.001345f,
		0.001636f, 0.001774f, 0.001893f, 0.002069f, 0.002350f, 0.002457f, 0.002678f, 0.002743f, 0.003105f, 0.003513f, 0.003830f, 0.004227f,
		0.004589f, 0.005047f, 0.005669f, 0.006176f, 0.007153f, 0.007896f, 0.008911f, 0.010231f, 0.011818f, 0.013618f, 0.015465f, 0.018188f,
		0.021576f, 0.025452f, 0.030533f, 0.037048f, 0.045685f, 0.056915f, 0.071533f, 0.091675f, 0.118958f, 0.156006f, 0.205444f, 0.270020f,
		0.349609f, 0.439941f, 0.533691f, 0.625977f, 0.708984f, 0.778320f, 0.931641f, 0.936035f, 0.936523f, 0.937012f, 0.937012f, 0.937012f,
		0.000000f, 0.000000f, 0.000137f, 0.000262f, 0.000432f, 0.000437f, 0.000444f, 0.000590f, 0.000558f, 0.000606f, 0.000817f, 0.000877f,
		0.000909f, 0.000951f, 0.001191f, 0.001244f, 0.001373f, 0.001506f, 0.001702f, 0.001690f, 0.001955f, 0.001940f, 0.002283f, 0.002340f,
		0.002571f, 0.002871f, 0.003265f, 0.003475f, 0.003910f, 0.004181f, 0.004608f, 0.005112f, 0.005833f, 0.006416f, 0.007145f, 0.008209f,
		0.009636f, 0.010750f, 0.012642f, 0.014481f, 0.017197f, 0.020203f, 0.024353f, 0.029694f, 0.036041f, 0.045105f, 0.056702f, 0.072388f,
		0.094482f, 0.124329f, 0.166504f, 0.223022f, 0.295898f, 0.384766f, 0.482910f, 0.582031f, 0.675293f, 0.754883f, 0.926270f, 0.929688f,
		0.930664f, 0.930664f, 0.931152f, 0.930664f, 0.000000f, 0.000000f, 0.000000f, 0.000232f, 0.000357f, 0.000411f, 0.000513f, 0.000527f,
		0.000490f, 0.000504f, 0.000653f, 0.000750f, 0.000780f, 0.000976f, 0.000942f, 0.000967f, 0.001180f, 0.001252f, 0.001385f, 0.001425f,
		0.001559f, 0.001801f, 0.001886f, 0.002144f, 0.002111f, 0.002354f, 0.002645f, 0.002827f, 0.003187f, 0.003414f, 0.003792f, 0.004360f,
		0.004662f, 0.005146f, 0.005875f, 0.006783f, 0.007610f, 0.008797f, 0.010033f, 0.011566f, 0.013565f, 0.016006f, 0.019165f, 0.023163f,
		0.028320f, 0.035400f, 0.044647f, 0.057129f, 0.074402f, 0.098572f, 0.132812f, 0.180542f, 0.245728f, 0.330078f, 0.428955f, 0.535156f,
		0.638184f, 0.728516f, 0.919434f, 0.922852f, 0.923828f, 0.923828f, 0.923828f, 0.924316f, 0.000000f, 0.000000f, 0.000000f, 0.000114f,
		0.000248f, 0.000359f, 0.000386f, 0.000342f, 0.000465f, 0.000461f, 0.000490f, 0.000609f, 0.000638f, 0.000694f, 0.000807f, 0.000923f,
		0.000961f, 0.001074f, 0.001123f, 0.001268f, 0.001311f, 0.001494f, 0.001537f, 0.001754f, 0.001899f, 0.001917f, 0.002199f, 0.002241f,
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		0.016159f, 0.055176f, 0.104126f, 0.162720f, 0.229126f, 0.300781f, 0.372803f, 0.442871f, 0.506836f, 0.563477f, 0.613281f, 0.657715f,
		0.696289f, 0.729004f, 0.757324f, 0.782227f, 0.802734f, 0.821289f, 0.837402f, 0.852539f, 0.865234f, 0.875977f, 0.885742f, 0.895508f,
		0.903320f, 0.910156f, 0.917480f, 0.922852f, 0.928711f, 0.934082f, 0.937988f, 0.942871f, 0.947266f, 0.950195f, 0.954102f, 0.957031f,
		0.959473f, 0.962402f, 0.964844f, 0.968262f, 0.969727f, 0.972168f, 0.974121f, 0.976562f, 0.978516f, 0.979980f, 0.981934f, 0.982910f,
		0.983887f, 0.985840f, 0.986816f, 0.988770f, 0.989746f, 0.991211f, 0.992188f, 0.993652f, 0.994141f, 0.995117f, 0.998047f, 0.997559f,
		0.997559f, 0.997070f, 0.996582f, 0.996582f, 0.010841f, 0.036865f, 0.070007f, 0.110962f, 0.159546f, 0.214355f, 0.276367f, 0.340576f,
		0.405029f, 0.465820f, 0.523926f, 0.576172f, 0.623535f, 0.664062f, 0.699707f, 0.731445f, 0.758301f, 0.782227f, 0.803223f, 0.821289f,
		0.837891f, 0.852051f, 0.864258f, 0.875488f, 0.884766f, 0.894531f, 0.903320f, 0.910156f, 0.916992f, 0.923828f, 0.928223f, 0.933594f,
		0.938477f, 0.943359f, 0.947266f, 0.950684f, 0.954102f, 0.957520f, 0.960449f, 0.962891f, 0.965820f, 0.968750f, 0.971191f, 0.973145f,
		0.975586f, 0.977539f, 0.978516f, 0.980957f, 0.982422f, 0.984375f, 0.985352f, 0.987305f, 0.988281f, 0.989746f, 0.990723f, 0.992188f,
		0.993164f, 0.994141f, 0.997559f, 0.997559f, 0.997070f, 0.996582f, 0.996582f, 0.996094f, 0.007637f, 0.026566f, 0.049896f, 0.078247f,
		0.113403f, 0.154663f, 0.202637f, 0.255371f, 0.313232f, 0.372314f, 0.431152f, 0.488037f, 0.540039f, 0.588867f, 0.633301f, 0.670898f,
		0.704102f, 0.734375f, 0.761230f, 0.785156f, 0.804688f, 0.822754f, 0.838867f, 0.852539f, 0.864746f, 0.876953f, 0.886230f, 0.895996f,
		0.903320f, 0.910645f, 0.917480f, 0.923828f, 0.929199f, 0.935059f, 0.938965f, 0.943359f, 0.948730f, 0.952148f, 0.954590f, 0.958496f,
		0.961426f, 0.964355f, 0.966797f, 0.969238f, 0.971680f, 0.974121f, 0.976074f, 0.978027f, 0.979980f, 0.981445f, 0.982910f, 0.984863f,
		0.986816f, 0.987793f, 0.989258f, 0.990723f, 0.991699f, 0.993164f, 0.996582f, 0.996582f, 0.996094f, 0.996094f, 0.996094f, 0.995605f,
		0.005714f, 0.019485f, 0.036194f, 0.056976f, 0.082336f, 0.113342f, 0.149048f, 0.191284f, 0.238770f, 0.290039f, 0.344727f, 0.400391f,
		0.454590f, 0.507324f, 0.557129f, 0.602539f, 0.642578f, 0.679199f, 0.711426f, 0.740234f, 0.766602f, 0.788574f, 0.807617f, 0.825195f,
		0.841309f, 0.854980f, 0.867676f, 0.877930f, 0.888184f, 0.896484f, 0.904785f, 0.912109f, 0.918945f, 0.925293f, 0.930176f, 0.935547f,
		0.940918f, 0.944336f, 0.948730f, 0.952637f, 0.956055f, 0.959473f, 0.962402f, 0.965332f, 0.967773f, 0.970703f, 0.972656f, 0.975098f,
		0.977051f, 0.979004f, 0.981445f, 0.982910f, 0.984375f, 0.985840f, 0.987793f, 0.989258f, 0.990234f, 0.991211f, 0.996094f, 0.996094f,
		0.996094f, 0.996094f, 0.995605f, 0.995117f, 0.004505f, 0.014908f, 0.027634f, 0.043274f, 0.061707f, 0.084045f, 0.111694f, 0.143921f,
		0.180542f, 0.223877f, 0.270996f, 0.320557f, 0.373291f, 0.425781f, 0.478027f, 0.526855f, 0.573242f, 0.615723f, 0.654785f, 0.688965f,
		0.720215f, 0.747559f, 0.771973f, 0.793457f, 0.812500f, 0.829102f, 0.844238f, 0.858398f, 0.870117f, 0.881348f, 0.890625f, 0.898926f,
		0.906738f, 0.914062f, 0.921387f, 0.926758f, 0.932617f, 0.937500f, 0.942383f, 0.945801f, 0.950684f, 0.954102f, 0.958008f, 0.960938f,
		0.964355f, 0.966797f, 0.969727f, 0.972656f, 0.974609f, 0.976562f, 0.978516f, 0.980469f, 0.981934f, 0.984375f, 0.985840f, 0.987793f,
		0.988281f, 0.990234f, 0.995605f, 0.995605f, 0.995605f, 0.995605f, 0.995117f, 0.994629f, 0.003691f, 0.011925f, 0.021622f, 0.033203f,
		0.047241f, 0.065247f, 0.085266f, 0.109558f, 0.138550f, 0.172363f, 0.210205f, 0.253418f, 0.299805f, 0.348877f, 0.400146f, 0.450195f,
		0.499512f, 0.546387f, 0.589844f, 0.629883f, 0.666016f, 0.700195f, 0.728516f, 0.755371f, 0.778320f, 0.798828f, 0.817383f, 0.833984f,
		0.848145f, 0.861816f, 0.874023f, 0.883789f, 0.893555f, 0.902344f, 0.910645f, 0.916992f, 0.922852f, 0.929688f, 0.934570f, 0.938965f,
		0.944336f, 0.948730f, 0.951660f, 0.956543f, 0.959473f, 0.962891f, 0.965820f, 0.968262f, 0.970703f, 0.974121f, 0.976074f, 0.978516f,
		0.979980f, 0.981934f, 0.983887f, 0.985840f, 0.987305f, 0.988281f, 0.994629f, 0.995117f, 0.995117f, 0.994629f, 0.994629f, 0.994141f,
		0.002726f, 0.009560f, 0.017136f, 0.026871f, 0.037415f, 0.050079f, 0.066406f, 0.084717f, 0.107849f, 0.133423f, 0.164062f, 0.198853f,
		0.238281f, 0.281250f, 0.327148f, 0.375977f, 0.424805f, 0.473877f, 0.521973f, 0.564941f, 0.606934f, 0.644531f, 0.679199f, 0.710449f,
		0.738770f, 0.764160f, 0.786133f, 0.805664f, 0.824219f, 0.838867f, 0.853516f, 0.866211f, 0.876953f, 0.887695f, 0.896484f, 0.905762f,
		0.912598f, 0.919922f, 0.925781f, 0.932129f, 0.937500f, 0.942383f, 0.946777f, 0.951660f, 0.955078f, 0.958984f, 0.961426f, 0.965332f,
		0.967773f, 0.970703f, 0.972656f, 0.975586f, 0.978027f, 0.979492f, 0.981934f, 0.983887f, 0.984863f, 0.986816f, 0.994629f, 0.994629f,
		0.994629f, 0.994141f, 0.994141f, 0.993652f, 0.002487f, 0.007553f, 0.013863f, 0.021439f, 0.029755f, 0.040771f, 0.052643f, 0.067444f,
		0.084473f, 0.104980f, 0.128784f, 0.157227f, 0.189087f, 0.224609f, 0.265381f, 0.308838f, 0.354004f, 0.401611f, 0.450439f, 0.496582f,
		0.541992f, 0.583984f, 0.623047f, 0.660645f, 0.693359f, 0.722168f, 0.749512f, 0.772949f, 0.793457f, 0.812988f, 0.830078f, 0.845215f,
		0.859375f, 0.871094f, 0.882812f, 0.892090f, 0.900879f, 0.908691f, 0.916504f, 0.922852f, 0.930176f, 0.935547f, 0.940430f, 0.944824f,
		0.949219f, 0.952637f, 0.956543f, 0.960449f, 0.963867f, 0.967285f, 0.970215f, 0.972656f, 0.974609f, 0.977539f, 0.979492f, 0.981934f,
		0.983887f, 0.985352f, 0.993652f, 0.994141f, 0.994141f, 0.993652f, 0.993652f, 0.993164f, 0.001893f, 0.006641f, 0.011551f, 0.017319f,
		0.024612f, 0.032959f, 0.042023f, 0.053772f, 0.067444f, 0.083435f, 0.102356f, 0.123840f, 0.150024f, 0.179688f, 0.213501f, 0.250488f,
		0.291992f, 0.335938f, 0.381592f, 0.427246f, 0.473877f, 0.518555f, 0.563477f, 0.603027f, 0.640625f, 0.676270f, 0.707031f, 0.735352f,
		0.760254f, 0.782715f, 0.802734f, 0.821777f, 0.838379f, 0.851562f, 0.865234f, 0.876953f, 0.886719f, 0.896484f, 0.905273f, 0.913086f,
		0.921387f, 0.927734f, 0.933105f, 0.938477f, 0.942871f, 0.948242f, 0.951660f, 0.955566f, 0.959961f, 0.963867f, 0.966309f, 0.969238f,
		0.972168f, 0.975098f, 0.977539f, 0.979492f, 0.981934f, 0.983887f, 0.993164f, 0.993652f, 0.993164f, 0.993164f, 0.993164f, 0.992676f,
		0.001740f, 0.005634f, 0.009407f, 0.014992f, 0.020157f, 0.026840f, 0.035156f, 0.043793f, 0.054718f, 0.067505f, 0.082092f, 0.099731f,
		0.120239f, 0.143921f, 0.171265f, 0.202393f, 0.237915f, 0.276367f, 0.318848f, 0.362793f, 0.407959f, 0.454346f, 0.499023f, 0.542480f,
		0.583984f, 0.623535f, 0.659180f, 0.691895f, 0.721680f, 0.748047f, 0.772461f, 0.793457f, 0.812988f, 0.829102f, 0.845215f, 0.859863f,
		0.872559f, 0.883789f, 0.893555f, 0.902344f, 0.911133f, 0.918457f, 0.924805f, 0.930664f, 0.937012f, 0.941895f, 0.947266f, 0.951172f,
		0.956055f, 0.959473f, 0.962402f, 0.966309f, 0.968750f, 0.972168f, 0.974609f, 0.977051f, 0.979492f, 0.981934f, 0.992188f, 0.992676f,
		0.992676f, 0.992676f, 0.992188f, 0.992676f, 0.001502f, 0.004482f, 0.008278f, 0.012276f, 0.016800f, 0.022644f, 0.029129f, 0.036194f,
		0.045197f, 0.055298f, 0.067017f, 0.080750f, 0.096863f, 0.115906f, 0.138184f, 0.163940f, 0.192993f, 0.225952f, 0.262695f, 0.302490f,
		0.344971f, 0.389648f, 0.434814f, 0.480469f, 0.523926f, 0.566406f, 0.605957f, 0.643066f, 0.677246f, 0.708496f, 0.736816f, 0.761719f,
		0.784668f, 0.804688f, 0.823242f, 0.840332f, 0.854004f, 0.867188f, 0.878906f, 0.890137f, 0.898438f, 0.907715f, 0.916016f, 0.922852f,
		0.930176f, 0.935547f, 0.940918f, 0.946289f, 0.950684f, 0.955078f, 0.959473f, 0.961914f, 0.966309f, 0.969238f, 0.972168f, 0.974609f,
		0.977539f, 0.979492f, 0.991211f, 0.992188f, 0.991699f, 0.992188f, 0.991699f, 0.991211f, 0.001411f, 0.003645f, 0.007160f, 0.010414f,
		0.014397f, 0.018677f, 0.024338f, 0.030426f, 0.037384f, 0.045654f, 0.055054f, 0.066101f, 0.079529f, 0.094543f, 0.112793f, 0.133057f,
		0.157227f, 0.183960f, 0.215210f, 0.250488f, 0.288086f, 0.329102f, 0.372314f, 0.416992f, 0.461914f, 0.505859f, 0.549316f, 0.589355f,
		0.627930f, 0.664062f, 0.695801f, 0.725098f, 0.752441f, 0.775879f, 0.797363f, 0.815918f, 0.833984f, 0.849121f, 0.863281f, 0.875488f,
		0.886230f, 0.895996f, 0.904785f, 0.914062f, 0.920898f, 0.928223f, 0.935059f, 0.940918f, 0.945312f, 0.950195f, 0.954102f, 0.958984f,
		0.962402f, 0.966309f, 0.969238f, 0.972656f, 0.974609f, 0.977539f, 0.990234f, 0.992188f, 0.991211f, 0.991211f, 0.990723f, 0.991211f,
		0.000926f, 0.003523f, 0.006207f, 0.008949f, 0.012718f, 0.016312f, 0.020447f, 0.025467f, 0.031128f, 0.037994f, 0.045532f, 0.054901f,
		0.065430f, 0.077576f, 0.091797f, 0.109131f, 0.128418f, 0.151245f, 0.176636f, 0.206055f, 0.238525f, 0.275146f, 0.314697f, 0.357178f,
		0.400391f, 0.445312f, 0.489746f, 0.531738f, 0.574219f, 0.613281f, 0.650391f, 0.683594f, 0.714355f, 0.742188f, 0.768066f, 0.790039f,
		0.810059f, 0.828125f, 0.843262f, 0.858398f, 0.871582f, 0.883789f, 0.893555f, 0.903809f, 0.912598f, 0.919434f, 0.926758f, 0.933594f,
		0.939453f, 0.944336f, 0.950195f, 0.954590f, 0.958008f, 0.962402f, 0.966309f, 0.969727f, 0.972656f, 0.975586f, 0.989746f, 0.990723f,
		0.990723f, 0.990234f, 0.990234f, 0.990234f, 0.001140f, 0.003021f, 0.005527f, 0.008102f, 0.010445f, 0.013977f, 0.017349f, 0.021637f,
		0.026535f, 0.031677f, 0.038330f, 0.045776f, 0.054382f, 0.064392f, 0.076233f, 0.089844f, 0.105713f, 0.123840f, 0.145020f, 0.169556f,
		0.196899f, 0.229248f, 0.263672f, 0.302002f, 0.342529f, 0.385986f, 0.429932f, 0.473877f, 0.517578f, 0.560547f, 0.600586f, 0.638184f,
		0.672852f, 0.704590f, 0.733398f, 0.759277f, 0.782715f, 0.803711f, 0.823242f, 0.840820f, 0.854980f, 0.869141f, 0.881348f, 0.892090f,
		0.902344f, 0.910645f, 0.919922f, 0.927246f, 0.933105f, 0.938965f, 0.944824f, 0.949707f, 0.954102f, 0.959473f, 0.962891f, 0.966309f,
		0.969727f, 0.972168f, 0.988770f, 0.990234f, 0.989746f, 0.989746f, 0.989746f, 0.989258f, 0.000870f, 0.002666f, 0.004578f, 0.006737f,
		0.009430f, 0.012077f, 0.015381f, 0.018463f, 0.022293f, 0.027313f, 0.032654f, 0.038727f, 0.045746f, 0.053619f, 0.063232f, 0.074524f,
		0.087219f, 0.102356f, 0.119324f, 0.139648f, 0.162842f, 0.189941f, 0.219482f, 0.253174f, 0.289795f, 0.329346f, 0.372070f, 0.415039f,
		0.459717f, 0.503418f, 0.546387f, 0.587402f, 0.625977f, 0.661621f, 0.694336f, 0.725586f, 0.752441f, 0.776855f, 0.798828f, 0.818359f,
		0.837402f, 0.852539f, 0.866699f, 0.878906f, 0.891113f, 0.900879f, 0.910156f, 0.918457f, 0.926270f, 0.932617f, 0.938965f, 0.944824f,
		0.950195f, 0.955078f, 0.958984f, 0.962891f, 0.966797f, 0.970703f, 0.987793f, 0.988770f, 0.989258f, 0.989258f, 0.988770f, 0.988770f,
		0.000835f, 0.002302f, 0.004078f, 0.005802f, 0.008026f, 0.010490f, 0.013153f, 0.016235f, 0.019485f, 0.023636f, 0.027847f, 0.033081f,
		0.038849f, 0.045441f, 0.053253f, 0.062500f, 0.072571f, 0.085205f, 0.098999f, 0.115662f, 0.135254f, 0.156860f, 0.182373f, 0.211060f,
		0.243042f, 0.279053f, 0.318115f, 0.359619f, 0.402832f, 0.447021f, 0.490234f, 0.533691f, 0.575195f, 0.615234f, 0.651855f, 0.686035f,
		0.717285f, 0.746094f, 0.771484f, 0.793945f, 0.813965f, 0.833496f, 0.848633f, 0.864258f, 0.877930f, 0.889648f, 0.900391f, 0.909180f,
		0.918945f, 0.926270f, 0.932129f, 0.939453f, 0.945312f, 0.950684f, 0.955566f, 0.959473f, 0.963867f, 0.967773f, 0.987305f, 0.988281f,
		0.988281f, 0.988281f, 0.988281f, 0.987793f, 0.000815f, 0.001984f, 0.003475f, 0.005302f, 0.007103f, 0.009354f, 0.011528f, 0.013977f,
		0.017197f, 0.020111f, 0.023788f, 0.027771f, 0.033447f, 0.038452f, 0.045013f, 0.052704f, 0.061066f, 0.071228f, 0.082886f, 0.096313f,
		0.112488f, 0.130737f, 0.151245f, 0.175659f, 0.203125f, 0.234619f, 0.269043f, 0.306885f, 0.347656f, 0.390381f, 0.434570f, 0.478760f,
		0.522461f, 0.564453f, 0.605957f, 0.644043f, 0.678223f, 0.710449f, 0.739746f, 0.766602f, 0.791016f, 0.811035f, 0.831055f, 0.847168f,
		0.862793f, 0.875977f, 0.888672f, 0.899414f, 0.909180f, 0.917480f, 0.926270f, 0.933105f, 0.939941f, 0.945801f, 0.950684f, 0.955566f,
		0.960938f, 0.964844f, 0.985840f, 0.987305f, 0.987793f, 0.987305f, 0.987305f, 0.987305f, 0.000587f, 0.002005f, 0.003122f, 0.004707f,
		0.006283f, 0.007778f, 0.009972f, 0.012581f, 0.014435f, 0.017426f, 0.020691f, 0.024475f, 0.028519f, 0.033203f, 0.038513f, 0.044708f,
		0.051727f, 0.060028f, 0.069763f, 0.080627f, 0.093506f, 0.109009f, 0.125977f, 0.146362f, 0.169678f, 0.196533f, 0.226685f, 0.259766f,
		0.297119f, 0.337646f, 0.380127f, 0.424072f, 0.468018f, 0.512207f, 0.555176f, 0.596680f, 0.635254f, 0.671387f, 0.704590f, 0.734863f,
		0.762207f, 0.787109f, 0.809082f, 0.828613f, 0.846191f, 0.860840f, 0.875977f, 0.888184f, 0.899902f, 0.908691f, 0.918457f, 0.926270f,
		0.934082f, 0.940430f, 0.947266f, 0.951660f, 0.958008f, 0.961914f, 0.984863f, 0.986328f, 0.986816f, 0.986816f, 0.986328f, 0.986328f,
		0.000475f, 0.001671f, 0.003019f, 0.004379f, 0.005592f, 0.006882f, 0.008682f, 0.010757f, 0.012856f, 0.015343f, 0.018112f, 0.021164f,
		0.024353f, 0.028595f, 0.033020f, 0.038086f, 0.044006f, 0.050812f, 0.058594f, 0.067993f, 0.078735f, 0.091248f, 0.105530f, 0.122009f,
		0.142212f, 0.164062f, 0.189697f, 0.219238f, 0.251953f, 0.288330f, 0.328125f, 0.369629f, 0.413818f, 0.458008f, 0.503418f, 0.547363f,
		0.588867f, 0.628418f, 0.665039f, 0.699707f, 0.730469f, 0.758301f, 0.784668f, 0.807129f, 0.826660f, 0.844727f, 0.862305f, 0.875977f,
		0.888672f, 0.900879f, 0.910156f, 0.919434f, 0.927734f, 0.935059f, 0.941406f, 0.947754f, 0.953125f, 0.958496f, 0.983887f, 0.985352f,
		0.985352f, 0.985352f, 0.984863f, 0.985352f, 0.000325f, 0.001517f, 0.002554f, 0.003811f, 0.004990f, 0.006638f, 0.007706f, 0.009399f,
		0.011177f, 0.013580f, 0.015671f, 0.018478f, 0.021393f, 0.024612f, 0.028442f, 0.032990f, 0.037750f, 0.043427f, 0.050354f, 0.057861f,
		0.066101f, 0.076294f, 0.088684f, 0.102417f, 0.119080f, 0.137451f, 0.159058f, 0.183838f, 0.212524f, 0.244385f, 0.280273f, 0.319336f,
		0.361084f, 0.405029f, 0.449707f, 0.494873f, 0.539551f, 0.582031f, 0.622559f, 0.660156f, 0.695801f, 0.727539f, 0.756348f, 0.782715f,
		0.805664f, 0.826172f, 0.845215f, 0.861328f, 0.875977f, 0.889648f, 0.901367f, 0.910645f, 0.920410f, 0.928711f, 0.937012f, 0.942871f,
		0.949219f, 0.955078f, 0.982422f, 0.983887f, 0.984375f, 0.984375f, 0.983887f, 0.983887f, 0.000349f, 0.001533f, 0.002413f, 0.003326f,
		0.004463f, 0.005524f, 0.006954f, 0.008202f, 0.010025f, 0.011864f, 0.013924f, 0.015884f, 0.018478f, 0.021484f, 0.024658f, 0.028671f,
		0.032562f, 0.037170f, 0.042969f, 0.049194f, 0.056641f, 0.065063f, 0.074951f, 0.086182f, 0.099731f, 0.115662f, 0.133789f, 0.154175f,
		0.178589f, 0.206421f, 0.237671f, 0.272949f, 0.312012f, 0.352783f, 0.396973f, 0.442627f, 0.487793f, 0.532227f, 0.576660f, 0.617188f,
		0.657227f, 0.692383f, 0.725586f, 0.754395f, 0.780762f, 0.805664f, 0.826172f, 0.845215f, 0.861816f, 0.876465f, 0.890137f, 0.902344f,
		0.912598f, 0.921875f, 0.930176f, 0.937988f, 0.945312f, 0.952148f, 0.981445f, 0.982910f, 0.982910f, 0.983398f, 0.983398f, 0.983398f,
		0.000475f, 0.001141f, 0.002058f, 0.002846f, 0.004120f, 0.005013f, 0.006207f, 0.007664f, 0.009193f, 0.010368f, 0.012222f, 0.014404f,
		0.016403f, 0.018799f, 0.021439f, 0.024567f, 0.028076f, 0.032379f, 0.036652f, 0.042145f, 0.048157f, 0.055389f, 0.063660f, 0.073059f,
		0.083740f, 0.097046f, 0.112366f, 0.129517f, 0.149780f, 0.173584f, 0.200684f, 0.231812f, 0.266357f, 0.304688f, 0.346680f, 0.390137f,
		0.435547f, 0.481445f, 0.526367f, 0.572266f, 0.613770f, 0.653320f, 0.690430f, 0.723633f, 0.754395f, 0.781250f, 0.806152f, 0.826172f,
		0.847168f, 0.862793f, 0.878906f, 0.892090f, 0.904297f, 0.914551f, 0.924316f, 0.933105f, 0.940430f, 0.947754f, 0.979492f, 0.981934f,
		0.981934f, 0.981934f, 0.981445f, 0.981445f, 0.000239f, 0.000882f, 0.001744f, 0.002878f, 0.003819f, 0.004532f, 0.005550f, 0.006653f,
		0.007942f, 0.009277f, 0.010628f, 0.012421f, 0.014397f, 0.016312f, 0.018845f, 0.021576f, 0.024536f, 0.027817f, 0.031860f, 0.036346f,
		0.041595f, 0.047333f, 0.054138f, 0.062317f, 0.071350f, 0.081970f, 0.094299f, 0.109070f, 0.126221f, 0.146118f, 0.169067f, 0.195801f,
		0.226196f, 0.260742f, 0.298584f, 0.340088f, 0.384277f, 0.429688f, 0.476807f, 0.522461f, 0.568359f, 0.611328f, 0.651855f, 0.689453f,
		0.723633f, 0.754395f, 0.782715f, 0.807617f, 0.829590f, 0.848145f, 0.865723f, 0.880859f, 0.894531f, 0.906738f, 0.917969f, 0.927246f,
		0.936035f, 0.943359f, 0.978027f, 0.979980f, 0.980469f, 0.980469f, 0.980469f, 0.980469f, 0.000240f, 0.000948f, 0.001495f, 0.002592f,
		0.003241f, 0.004055f, 0.004856f, 0.006111f, 0.007133f, 0.008125f, 0.009445f, 0.011108f, 0.012474f, 0.014374f, 0.016586f, 0.018784f,
		0.021286f, 0.024475f, 0.027481f, 0.031403f, 0.035828f, 0.040710f, 0.046204f, 0.052704f, 0.060577f, 0.069519f, 0.079651f, 0.092224f,
		0.106506f, 0.122986f, 0.142456f, 0.165161f, 0.191284f, 0.221924f, 0.255615f, 0.293457f, 0.335205f, 0.379395f, 0.425537f, 0.472900f,
		0.519531f, 0.566406f, 0.610840f, 0.652344f, 0.689941f, 0.724609f, 0.755371f, 0.784180f, 0.808594f, 0.831055f, 0.851562f, 0.869141f,
		0.884277f, 0.897461f, 0.909668f, 0.920410f, 0.930176f, 0.937988f, 0.976562f, 0.979004f, 0.979492f, 0.979492f, 0.979492f, 0.979492f,
		0.000302f, 0.000863f, 0.001315f, 0.002195f, 0.002905f, 0.003592f, 0.004784f, 0.005478f, 0.006199f, 0.007389f, 0.008545f, 0.009811f,
		0.011185f, 0.012787f, 0.014603f, 0.016342f, 0.018784f, 0.021347f, 0.024033f, 0.027496f, 0.031006f, 0.034790f, 0.039856f, 0.045288f,
		0.051636f, 0.059052f, 0.067566f, 0.078003f, 0.089905f, 0.103760f, 0.119934f, 0.139282f, 0.161865f, 0.187622f, 0.217407f, 0.251221f,
		0.288818f, 0.330811f, 0.375244f, 0.422607f, 0.470703f, 0.518066f, 0.565430f, 0.609863f, 0.651855f, 0.691406f, 0.726562f, 0.758301f,
		0.787109f, 0.812500f, 0.835449f, 0.855957f, 0.872559f, 0.887695f, 0.901367f, 0.913574f, 0.923828f, 0.933105f, 0.975098f, 0.977539f,
		0.977539f, 0.977539f, 0.978027f, 0.977051f, 0.000240f, 0.000808f, 0.001537f, 0.002106f, 0.002493f, 0.003729f, 0.004036f, 0.004982f,
		0.005539f, 0.006454f, 0.007526f, 0.008690f, 0.009987f, 0.011421f, 0.012894f, 0.014618f, 0.016464f, 0.018539f, 0.021118f, 0.023865f,
		0.026794f, 0.030487f, 0.034241f, 0.038879f, 0.044067f, 0.050690f, 0.057678f, 0.066040f, 0.076111f, 0.087524f, 0.101379f, 0.117737f,
		0.136353f, 0.158325f, 0.183594f, 0.213501f, 0.247192f, 0.284912f, 0.327393f, 0.372803f, 0.420410f, 0.468750f, 0.518066f, 0.565430f,
		0.611328f, 0.654297f, 0.694336f, 0.729980f, 0.762207f, 0.791504f, 0.817383f, 0.839844f, 0.859863f, 0.876953f, 0.891602f, 0.905762f,
		0.917480f, 0.928711f, 0.973633f, 0.975098f, 0.976562f, 0.975586f, 0.976562f, 0.976562f, 0.000240f, 0.000587f, 0.001223f, 0.001691f,
		0.002499f, 0.003008f, 0.003643f, 0.004295f, 0.004795f, 0.005726f, 0.006649f, 0.007671f, 0.008766f, 0.010002f, 0.011307f, 0.012764f,
		0.014465f, 0.016388f, 0.018387f, 0.020599f, 0.023453f, 0.026291f, 0.029572f, 0.033417f, 0.037964f, 0.043427f, 0.049316f, 0.056519f,
		0.064819f, 0.074219f, 0.085693f, 0.099121f, 0.115112f, 0.133301f, 0.155273f, 0.180420f, 0.210205f, 0.244751f, 0.282715f, 0.324951f,
		0.371338f, 0.419434f, 0.468994f, 0.518555f, 0.566895f, 0.613770f, 0.658203f, 0.698242f, 0.735352f, 0.766602f, 0.796875f, 0.821289f,
		0.844238f, 0.863770f, 0.881836f, 0.896973f, 0.910156f, 0.922363f, 0.971191f, 0.974121f, 0.974609f, 0.974121f, 0.974609f, 0.974609f,
		0.000228f, 0.000671f, 0.001122f, 0.001607f, 0.002291f, 0.002836f, 0.003319f, 0.003817f, 0.004509f, 0.005253f, 0.005894f, 0.006840f,
		0.007820f, 0.008972f, 0.010086f, 0.011391f, 0.012848f, 0.014328f, 0.016266f, 0.018158f, 0.020447f, 0.022720f, 0.026031f, 0.029053f,
		0.032593f, 0.037109f, 0.042236f, 0.048340f, 0.055115f, 0.063049f, 0.072632f, 0.083801f, 0.097351f, 0.112488f, 0.130493f, 0.152222f,
		0.178101f, 0.208008f, 0.241943f, 0.280762f, 0.323730f, 0.370117f, 0.419434f, 0.470459f, 0.520996f, 0.570801f, 0.617676f, 0.663086f,
		0.704102f, 0.740234f, 0.773438f, 0.802246f, 0.829102f, 0.850098f, 0.870117f, 0.887695f, 0.902832f, 0.916016f, 0.969238f, 0.972168f,
		0.972168f, 0.972656f, 0.972656f, 0.972168f, 0.000121f, 0.000526f, 0.001092f, 0.001670f, 0.001744f, 0.002420f, 0.002945f, 0.003237f,
		0.004013f, 0.004894f, 0.005421f, 0.005932f, 0.006996f, 0.007904f, 0.008873f, 0.009995f, 0.011391f, 0.012756f, 0.014053f, 0.015884f,
		0.017715f, 0.019775f, 0.022324f, 0.025406f, 0.028290f, 0.032349f, 0.036560f, 0.041412f, 0.047058f, 0.053772f, 0.061493f, 0.070862f,
		0.081848f, 0.094666f, 0.110229f, 0.128662f, 0.150024f, 0.175903f, 0.205566f, 0.239990f, 0.279785f, 0.323486f, 0.370850f, 0.421143f,
		0.473633f, 0.524902f, 0.576172f, 0.625000f, 0.668457f, 0.710938f, 0.748535f, 0.781250f, 0.810059f, 0.835449f, 0.857910f, 0.877441f,
		0.894531f, 0.908691f, 0.966797f, 0.970215f, 0.970703f, 0.970703f, 0.970703f, 0.970215f, 0.000127f, 0.000521f, 0.001083f, 0.001460f,
		0.001684f, 0.002111f, 0.002563f, 0.003048f, 0.003618f, 0.004124f, 0.004936f, 0.005543f, 0.006340f, 0.007111f, 0.008049f, 0.008774f,
		0.009865f, 0.011162f, 0.012360f, 0.013840f, 0.015465f, 0.017181f, 0.019531f, 0.021973f, 0.024582f, 0.027847f, 0.031342f, 0.035706f,
		0.040100f, 0.045990f, 0.052521f, 0.060089f, 0.069214f, 0.080017f, 0.093079f, 0.108521f, 0.126709f, 0.148071f, 0.174072f, 0.204224f,
		0.239502f, 0.279541f, 0.324219f, 0.373047f, 0.424805f, 0.477295f, 0.530762f, 0.583008f, 0.632324f, 0.677246f, 0.719727f, 0.756348f,
		0.789551f, 0.819336f, 0.842773f, 0.866211f, 0.885742f, 0.901855f, 0.965332f, 0.967773f, 0.968262f, 0.967773f, 0.968750f, 0.968262f,
		0.000244f, 0.000397f, 0.001001f, 0.001181f, 0.001642f, 0.001872f, 0.002460f, 0.002712f, 0.003061f, 0.003723f, 0.004520f, 0.005043f,
		0.005547f, 0.006451f, 0.007057f, 0.007828f, 0.008942f, 0.009872f, 0.010857f, 0.012131f, 0.013557f, 0.015198f, 0.017059f, 0.019241f,
		0.021454f, 0.024048f, 0.027069f, 0.030594f, 0.034332f, 0.039001f, 0.044952f, 0.050873f, 0.058716f, 0.067505f, 0.078369f, 0.091309f,
		0.106506f, 0.124695f, 0.146484f, 0.172852f, 0.203369f, 0.239014f, 0.280273f, 0.326172f, 0.376465f, 0.429443f, 0.483643f, 0.538574f,
		0.591309f, 0.641602f, 0.687500f, 0.729492f, 0.766602f, 0.800293f, 0.828613f, 0.854004f, 0.874512f, 0.893555f, 0.961914f, 0.965332f,
		0.965820f, 0.966309f, 0.966309f, 0.965820f, 0.000243f, 0.000453f, 0.000888f, 0.001245f, 0.001342f, 0.001847f, 0.002060f, 0.002541f,
		0.002991f, 0.003355f, 0.003679f, 0.004379f, 0.005177f, 0.005413f, 0.006283f, 0.007038f, 0.007896f, 0.008507f, 0.009552f, 0.010628f,
		0.011909f, 0.013306f, 0.015038f, 0.016388f, 0.018433f, 0.020752f, 0.023254f, 0.026413f, 0.029617f, 0.033447f, 0.037842f, 0.043701f,
		0.049896f, 0.057190f, 0.066101f, 0.076660f, 0.089600f, 0.104553f, 0.123230f, 0.145386f, 0.171387f, 0.202637f, 0.239624f, 0.281982f,
		0.329346f, 0.380859f, 0.436035f, 0.491943f, 0.547852f, 0.602539f, 0.653809f, 0.699707f, 0.741699f, 0.778320f, 0.811035f, 0.838867f,
		0.862793f, 0.884766f, 0.959961f, 0.963379f, 0.963379f, 0.963379f, 0.964355f, 0.963379f, 0.000241f, 0.000452f, 0.000798f, 0.001119f,
		0.001220f, 0.001430f, 0.001902f, 0.002277f, 0.002737f, 0.002893f, 0.003624f, 0.003937f, 0.004436f, 0.005089f, 0.005669f, 0.006226f,
		0.006680f, 0.007519f, 0.008568f, 0.009384f, 0.010422f, 0.011795f, 0.012840f, 0.014526f, 0.016235f, 0.017929f, 0.020218f, 0.022736f,
		0.025146f, 0.028580f, 0.032684f, 0.036896f, 0.042511f, 0.048431f, 0.055634f, 0.064453f, 0.075317f, 0.088196f, 0.103333f, 0.121948f,
		0.144287f, 0.171143f, 0.203491f, 0.241577f, 0.285156f, 0.334229f, 0.387939f, 0.444580f, 0.501953f, 0.559570f, 0.614746f, 0.666504f,
		0.712402f, 0.755371f, 0.791504f, 0.823242f, 0.851074f, 0.875000f, 0.956543f, 0.959961f, 0.960938f, 0.960449f, 0.960449f, 0.960449f,
		0.000000f, 0.000263f, 0.000693f, 0.000873f, 0.001183f, 0.001447f, 0.001476f, 0.002068f, 0.002171f, 0.002857f, 0.003164f, 0.003542f,
		0.003778f, 0.004326f, 0.004906f, 0.005436f, 0.006126f, 0.006687f, 0.007229f, 0.008377f, 0.009232f, 0.010223f, 0.011436f, 0.012527f,
		0.013832f, 0.015747f, 0.017365f, 0.019363f, 0.021667f, 0.024231f, 0.027695f, 0.031769f, 0.035889f, 0.041016f, 0.047028f, 0.054504f,
		0.063110f, 0.073975f, 0.086487f, 0.101807f, 0.120972f, 0.143555f, 0.171753f, 0.204956f, 0.244263f, 0.289551f, 0.340576f, 0.396484f,
		0.455078f, 0.514648f, 0.573730f, 0.630371f, 0.681152f, 0.729004f, 0.770020f, 0.806641f, 0.837402f, 0.863770f, 0.953613f, 0.956543f,
		0.957520f, 0.957031f, 0.957031f, 0.958008f, 0.000000f, 0.000356f, 0.000641f, 0.000870f, 0.000998f, 0.001134f, 0.001495f, 0.001724f,
		0.002436f, 0.002478f, 0.002775f, 0.003113f, 0.003435f, 0.003864f, 0.004314f, 0.004704f, 0.005276f, 0.005886f, 0.006599f, 0.007309f,
		0.008003f, 0.008987f, 0.009987f, 0.010941f, 0.012192f, 0.013466f, 0.015030f, 0.016708f, 0.018906f, 0.021103f, 0.023788f, 0.026886f,
		0.030457f, 0.034943f, 0.040009f, 0.045959f, 0.053162f, 0.061920f, 0.072144f, 0.085205f, 0.101257f, 0.120422f, 0.143555f, 0.172363f,
		0.206909f, 0.248047f, 0.295410f, 0.349121f, 0.407715f, 0.468750f, 0.530762f, 0.589844f, 0.647949f, 0.699707f, 0.746094f, 0.786621f,
		0.823242f, 0.852051f, 0.950195f, 0.953125f, 0.954102f, 0.954102f, 0.954102f, 0.954102f, 0.000231f, 0.000449f, 0.000516f, 0.000760f,
		0.000868f, 0.001152f, 0.001403f, 0.001773f, 0.002165f, 0.002245f, 0.002550f, 0.002783f, 0.003277f, 0.003660f, 0.003782f, 0.004120f,
		0.004631f, 0.005268f, 0.005795f, 0.006344f, 0.007053f, 0.007835f, 0.008598f, 0.009460f, 0.010689f, 0.011551f, 0.012726f, 0.014359f,
		0.016052f, 0.017975f, 0.020218f, 0.022812f, 0.025803f, 0.029251f, 0.033386f, 0.038574f, 0.044556f, 0.051941f, 0.060577f, 0.071045f,
		0.084106f, 0.100342f, 0.119751f, 0.144043f, 0.174194f, 0.209961f, 0.253418f, 0.303467f, 0.359619f, 0.420898f, 0.483887f, 0.547852f,
		0.609375f, 0.667480f, 0.719727f, 0.765625f, 0.804688f, 0.839844f, 0.946289f, 0.949707f, 0.950195f, 0.950684f, 0.950684f, 0.950195f,
		0.000201f, 0.000336f, 0.000452f, 0.000627f, 0.000793f, 0.000966f, 0.001134f, 0.001578f, 0.001790f, 0.001896f, 0.002254f, 0.002464f,
		0.002825f, 0.003012f, 0.003414f, 0.003626f, 0.004131f, 0.004608f, 0.005058f, 0.005642f, 0.006191f, 0.006771f, 0.007378f, 0.008057f,
		0.009132f, 0.009918f, 0.010826f, 0.012314f, 0.013794f, 0.015381f, 0.017197f, 0.019257f, 0.021912f, 0.024841f, 0.028259f, 0.032318f,
		0.037262f, 0.043427f, 0.050537f, 0.059021f, 0.070007f, 0.083191f, 0.099609f, 0.120239f, 0.145508f, 0.176636f, 0.214600f, 0.260254f,
		0.313232f, 0.372803f, 0.437012f, 0.503418f, 0.568359f, 0.631836f, 0.688965f, 0.741211f, 0.786621f, 0.825195f, 0.941406f, 0.946289f,
		0.946289f, 0.946777f, 0.946289f, 0.947266f, 0.000000f, 0.000317f, 0.000445f, 0.000453f, 0.000781f, 0.000794f, 0.001183f, 0.001289f,
		0.001479f, 0.001832f, 0.001874f, 0.002256f, 0.002270f, 0.002716f, 0.002960f, 0.003273f, 0.003630f, 0.003948f, 0.004467f, 0.004833f,
		0.005451f, 0.005962f, 0.006367f, 0.007088f, 0.007717f, 0.008400f, 0.009506f, 0.010445f, 0.011658f, 0.012993f, 0.014618f, 0.016357f,
		0.018524f, 0.021210f, 0.023712f, 0.027252f, 0.031219f, 0.036041f, 0.041962f, 0.049194f, 0.057892f, 0.068604f, 0.082642f, 0.099304f,
		0.120728f, 0.147217f, 0.180054f, 0.221191f, 0.269287f, 0.325928f, 0.388916f, 0.457275f, 0.525391f, 0.593262f, 0.657715f, 0.714355f,
		0.766113f, 0.809082f, 0.937500f, 0.940918f, 0.941895f, 0.941895f, 0.941895f, 0.942383f, 0.000243f, 0.000238f, 0.000411f, 0.000532f,
		0.000530f, 0.000764f, 0.000853f, 0.001171f, 0.001417f, 0.001545f, 0.001799f, 0.001900f, 0.002094f, 0.002354f, 0.002577f, 0.002703f,
		0.003155f, 0.003428f, 0.003809f, 0.004227f, 0.004677f, 0.004997f, 0.005386f, 0.005913f, 0.006741f, 0.007225f, 0.008057f, 0.008873f,
		0.009819f, 0.011101f, 0.012253f, 0.013725f, 0.015488f, 0.017410f, 0.019791f, 0.022598f, 0.025635f, 0.030014f, 0.034973f, 0.040527f,
		0.047729f, 0.056702f, 0.067505f, 0.081848f, 0.099609f, 0.121521f, 0.149902f, 0.185181f, 0.228516f, 0.280762f, 0.341553f, 0.408936f,
		0.480225f, 0.552246f, 0.622070f, 0.686035f, 0.742188f, 0.792480f, 0.932129f, 0.935547f, 0.937012f, 0.937012f, 0.936523f, 0.937500f,
		0.000000f, 0.000232f, 0.000330f, 0.000512f, 0.000523f, 0.000907f, 0.000953f, 0.001018f, 0.001234f, 0.001344f, 0.001610f, 0.001612f,
		0.001845f, 0.002054f, 0.002218f, 0.002453f, 0.002829f, 0.003105f, 0.003300f, 0.003712f, 0.003853f, 0.004280f, 0.004631f, 0.005112f,
		0.005665f, 0.006279f, 0.006779f, 0.007481f, 0.008362f, 0.009270f, 0.010338f, 0.011505f, 0.012848f, 0.014549f, 0.016403f, 0.018936f,
		0.021622f, 0.024750f, 0.028900f, 0.033447f, 0.039185f, 0.046448f, 0.055603f, 0.067078f, 0.081238f, 0.100037f, 0.123230f, 0.153564f,
		0.191284f, 0.238525f, 0.295166f, 0.361084f, 0.432861f, 0.507812f, 0.582520f, 0.653320f, 0.717285f, 0.772461f, 0.926270f, 0.931152f,
		0.931152f, 0.932129f, 0.932129f, 0.932129f, 0.000118f, 0.000219f, 0.000227f, 0.000405f, 0.000689f, 0.000726f, 0.000910f, 0.000847f,
		0.001072f, 0.001114f, 0.001388f, 0.001447f, 0.001656f, 0.001811f, 0.001897f, 0.002253f, 0.002373f, 0.002617f, 0.002796f, 0.003054f,
		0.003414f, 0.003681f, 0.003929f, 0.004353f, 0.004902f, 0.005322f, 0.005863f, 0.006424f, 0.007000f, 0.007755f, 0.008675f, 0.009506f,
		0.010704f, 0.012215f, 0.013557f, 0.015686f, 0.017807f, 0.020630f, 0.023376f, 0.027328f, 0.032013f, 0.038177f, 0.045288f, 0.054626f,
		0.066284f, 0.081543f, 0.100891f, 0.125977f, 0.158447f, 0.199951f, 0.251465f, 0.313965f, 0.384521f, 0.461670f, 0.540527f, 0.617188f,
		0.688965f, 0.750977f, 0.920410f, 0.924805f, 0.925781f, 0.926270f, 0.926758f, 0.925781f, 0.000230f, 0.000198f, 0.000217f, 0.000338f,
		0.000584f, 0.000786f, 0.000699f, 0.000893f, 0.000954f, 0.000959f, 0.001153f, 0.001165f, 0.001375f, 0.001545f, 0.001752f, 0.001752f,
		0.002062f, 0.002235f, 0.002399f, 0.002699f, 0.002853f, 0.002995f, 0.003372f, 0.003603f, 0.003944f, 0.004513f, 0.004704f, 0.005226f,
		0.005878f, 0.006527f, 0.006992f, 0.007889f, 0.008919f, 0.010002f, 0.011124f, 0.012604f, 0.014526f, 0.016510f, 0.019104f, 0.022308f,
		0.026077f, 0.030701f, 0.036774f, 0.044098f, 0.053558f, 0.065735f, 0.081299f, 0.101990f, 0.129517f, 0.164917f, 0.210938f, 0.268066f,
		0.336914f, 0.413818f, 0.496094f, 0.579102f, 0.657227f, 0.727539f, 0.913574f, 0.917969f, 0.918945f, 0.919434f, 0.919922f, 0.919922f,
		0.000000f, 0.000101f, 0.000214f, 0.000208f, 0.000339f, 0.000461f, 0.000577f, 0.000780f, 0.000777f, 0.000840f, 0.000853f, 0.001064f,
		0.001198f, 0.001327f, 0.001489f, 0.001687f, 0.001809f, 0.001884f, 0.002008f, 0.002129f, 0.002434f, 0.002514f, 0.002949f, 0.003000f,
		0.003351f, 0.003674f, 0.003918f, 0.004356f, 0.004875f, 0.005310f, 0.005768f, 0.006458f, 0.007244f, 0.008255f, 0.008949f, 0.010361f,
		0.011589f, 0.013290f, 0.015335f, 0.017776f, 0.020828f, 0.024521f, 0.029236f, 0.035431f, 0.042694f, 0.052490f, 0.065369f, 0.082336f,
		0.104492f, 0.134277f, 0.173828f, 0.225464f, 0.290039f, 0.365234f, 0.449707f, 0.536133f, 0.623047f, 0.702637f, 0.905273f, 0.911133f,
		0.912598f, 0.913086f, 0.913086f, 0.913086f, 0.000000f, 0.000167f, 0.000167f, 0.000316f, 0.000432f, 0.000444f, 0.000608f, 0.000611f,
		0.000678f, 0.000750f, 0.000899f, 0.000925f, 0.001043f, 0.001125f, 0.001222f, 0.001343f, 0.001470f, 0.001608f, 0.001679f, 0.001804f,
		0.001976f, 0.002234f, 0.002361f, 0.002710f, 0.002748f, 0.003035f, 0.003290f, 0.003647f, 0.003990f, 0.004295f, 0.004745f, 0.005318f,
		0.005920f, 0.006618f, 0.007347f, 0.008270f, 0.009361f, 0.010719f, 0.012291f, 0.014221f, 0.016693f, 0.019592f, 0.023239f, 0.027969f,
		0.033752f, 0.041534f, 0.051666f, 0.065369f, 0.083618f, 0.108276f, 0.141357f, 0.186035f, 0.244141f, 0.316650f, 0.400635f, 0.491699f,
		0.585938f, 0.672852f, 0.897461f, 0.903320f, 0.904297f, 0.903809f, 0.903809f, 0.904297f, 0.000000f, 0.000098f, 0.000145f, 0.000289f,
		0.000399f, 0.000424f, 0.000429f, 0.000382f, 0.000529f, 0.000613f, 0.000660f, 0.000836f, 0.000907f, 0.000940f, 0.001005f, 0.001188f,
		0.001306f, 0.001451f, 0.001420f, 0.001554f, 0.001667f, 0.001783f, 0.001955f, 0.002125f, 0.002357f, 0.002493f, 0.002760f, 0.002867f,
		0.003298f, 0.003626f, 0.003878f, 0.004341f, 0.004704f, 0.005356f, 0.005905f, 0.006512f, 0.007435f, 0.008377f, 0.009598f, 0.011055f,
		0.012978f, 0.015388f, 0.018036f, 0.021698f, 0.026337f, 0.032532f, 0.040192f, 0.050995f, 0.065125f, 0.085510f, 0.113037f, 0.150513f,
		0.201538f, 0.268799f, 0.351318f, 0.444824f, 0.543457f, 0.641602f, 0.888672f, 0.894043f, 0.894531f, 0.895508f, 0.895020f, 0.895508f,
		0.000000f, 0.000000f, 0.000032f, 0.000169f, 0.000338f, 0.000372f, 0.000468f, 0.000471f, 0.000460f, 0.000493f, 0.000588f, 0.000715f,
		0.000762f, 0.000912f, 0.000831f, 0.001001f, 0.001043f, 0.001133f, 0.001242f, 0.001312f, 0.001446f, 0.001529f, 0.001647f, 0.001829f,
		0.001982f, 0.002121f, 0.002165f, 0.002438f, 0.002628f, 0.002865f, 0.003113f, 0.003424f, 0.003622f, 0.004131f, 0.004639f, 0.005222f,
		0.005875f, 0.006622f, 0.007496f, 0.008575f, 0.009987f, 0.011665f, 0.013985f, 0.016617f, 0.019913f, 0.024704f, 0.030960f, 0.039185f,
		0.050323f, 0.066284f, 0.088196f, 0.119568f, 0.163208f, 0.223511f, 0.302002f, 0.395752f, 0.499756f, 0.605957f, 0.878418f, 0.883301f,
		0.884766f, 0.884766f, 0.885254f, 0.885254f, 0.000000f, 0.000000f, 0.000000f, 0.000216f, 0.000237f, 0.000338f, 0.000387f, 0.000341f,
		0.000435f, 0.000441f, 0.000461f, 0.000577f, 0.000544f, 0.000720f, 0.000813f, 0.000823f, 0.000912f, 0.000936f, 0.000994f, 0.001026f,
		0.001240f, 0.001268f, 0.001365f, 0.001415f, 0.001590f, 0.001565f, 0.001870f, 0.001929f, 0.002123f, 0.002377f, 0.002430f, 0.002565f,
		0.002947f, 0.003384f, 0.003662f, 0.004105f, 0.004513f, 0.005047f, 0.005741f, 0.006550f, 0.007549f, 0.008865f, 0.010612f, 0.012466f,
		0.015350f, 0.018677f, 0.023270f, 0.029800f, 0.038361f, 0.050323f, 0.067932f, 0.092590f, 0.129395f, 0.181274f, 0.253418f, 0.345459f,
		0.452637f, 0.567383f, 0.866699f, 0.872559f, 0.873047f, 0.873535f, 0.873047f, 0.873535f, 0.000000f, 0.000000f, 0.000121f, 0.000182f,
		0.000187f, 0.000237f, 0.000264f, 0.000360f, 0.000360f, 0.000397f, 0.000398f, 0.000412f, 0.000432f, 0.000546f, 0.000575f, 0.000690f,
		0.000731f, 0.000727f, 0.000807f, 0.000843f, 0.000924f, 0.001034f, 0.001093f, 0.001111f, 0.001251f, 0.001249f, 0.001334f, 0.001612f,
		0.001717f, 0.001820f, 0.002090f, 0.002161f, 0.002354f, 0.002600f, 0.002787f, 0.003119f, 0.003586f, 0.003878f, 0.004452f, 0.004913f,
		0.005772f, 0.006508f, 0.007679f, 0.009285f, 0.011086f, 0.013840f, 0.016968f, 0.021820f, 0.028259f, 0.037628f, 0.050812f, 0.070129f,
		0.099670f, 0.143433f, 0.207031f, 0.294922f, 0.403076f, 0.525879f, 0.853516f, 0.859375f, 0.860840f, 0.860352f, 0.862305f, 0.861328f,
		0.000000f, 0.000000f, 0.000000f, 0.000120f, 0.000181f, 0.000198f, 0.000181f, 0.000240f, 0.000275f, 0.000311f, 0.000427f, 0.000447f,
		0.000395f, 0.000472f, 0.000456f, 0.000557f, 0.000518f, 0.000562f, 0.000635f, 0.000664f, 0.000868f, 0.000887f, 0.000865f, 0.001025f,
		0.001014f, 0.001164f, 0.001096f, 0.001317f, 0.001382f, 0.001432f, 0.001445f, 0.001765f, 0.001744f, 0.002100f, 0.002144f, 0.002350f,
		0.002655f, 0.002947f, 0.003294f, 0.003780f, 0.004265f, 0.004971f, 0.005699f, 0.006786f, 0.007957f, 0.009636f, 0.011932f, 0.015823f,
		0.020142f, 0.026749f, 0.036530f, 0.051392f, 0.073792f, 0.109375f, 0.164185f, 0.244629f, 0.351562f, 0.479980f, 0.839355f, 0.844727f,
		0.846680f, 0.847656f, 0.847168f, 0.846680f, 0.000000f, 0.000121f, 0.000120f, 0.000119f, 0.000162f, 0.000133f, 0.000170f, 0.000201f,
		0.000204f, 0.000222f, 0.000258f, 0.000285f, 0.000324f, 0.000327f, 0.000422f, 0.000395f, 0.000431f, 0.000517f, 0.000632f, 0.000529f,
		0.000589f, 0.000592f, 0.000735f, 0.000714f, 0.000795f, 0.000778f, 0.000823f, 0.001063f, 0.001080f, 0.001141f, 0.001154f, 0.001308f,
		0.001439f, 0.001546f, 0.001689f, 0.001886f, 0.001978f, 0.002174f, 0.002377f, 0.002798f, 0.003277f, 0.003519f, 0.004181f, 0.004780f,
		0.005768f, 0.006863f, 0.008644f, 0.010750f, 0.014030f, 0.018448f, 0.025635f, 0.036194f, 0.053223f, 0.080811f, 0.125610f, 0.196533f,
		0.299316f, 0.430176f, 0.822754f, 0.830078f, 0.831055f, 0.831543f, 0.832031f, 0.831543f, 0.000000f, 0.000121f, 0.000120f, 0.000118f,
		0.000117f, 0.000120f, 0.000123f, 0.000151f, 0.000154f, 0.000175f, 0.000254f, 0.000190f, 0.000211f, 0.000306f, 0.000335f, 0.000358f,
		0.000394f, 0.000417f, 0.000443f, 0.000410f, 0.000565f, 0.000565f, 0.000491f, 0.000623f, 0.000616f, 0.000631f, 0.000738f, 0.000676f,
		0.000759f, 0.000924f, 0.000895f, 0.001030f, 0.001064f, 0.001176f, 0.001267f, 0.001438f, 0.001518f, 0.001704f, 0.001742f, 0.002028f,
		0.002384f, 0.002703f, 0.002972f, 0.003393f, 0.004051f, 0.004959f, 0.005993f, 0.007271f, 0.009277f, 0.012390f, 0.016968f, 0.024368f,
		0.036560f, 0.056610f, 0.091797f, 0.151245f, 0.246460f, 0.379639f, 0.805664f, 0.812500f, 0.813477f, 0.813965f, 0.813965f, 0.813965f,
		0.000000f, 0.000000f, 0.000118f, 0.000117f, 0.000116f, 0.000114f, 0.000113f, 0.000108f, 0.000127f, 0.000153f, 0.000133f, 0.000202f,
		0.000217f, 0.000223f, 0.000242f, 0.000186f, 0.000280f, 0.000304f, 0.000318f, 0.000342f, 0.000338f, 0.000473f, 0.000360f, 0.000484f,
		0.000422f, 0.000514f, 0.000527f, 0.000571f, 0.000633f, 0.000568f, 0.000639f, 0.000816f, 0.000789f, 0.000889f, 0.000891f, 0.000966f,
		0.001125f, 0.001276f, 0.001316f, 0.001496f, 0.001658f, 0.001818f, 0.002047f, 0.002502f, 0.002781f, 0.003201f, 0.003914f, 0.004795f,
		0.006096f, 0.007996f, 0.010918f, 0.015617f, 0.023697f, 0.037567f, 0.063477f, 0.111084f, 0.194824f, 0.324951f, 0.786133f, 0.792969f,
		0.794434f, 0.793945f, 0.794922f, 0.794434f, 0.000000f, 0.000119f, 0.000117f, 0.000115f, 0.000113f, 0.000112f, 0.000110f, 0.000109f,
		0.000104f, 0.000098f, 0.000099f, 0.000136f, 0.000112f, 0.000126f, 0.000175f, 0.000189f, 0.000196f, 0.000220f, 0.000216f, 0.000247f,
		0.000258f, 0.000274f, 0.000285f, 0.000309f, 0.000308f, 0.000321f, 0.000381f, 0.000390f, 0.000475f, 0.000511f, 0.000485f, 0.000501f,
		0.000641f, 0.000588f, 0.000652f, 0.000764f, 0.000808f, 0.000952f, 0.000906f, 0.001037f, 0.001110f, 0.001249f, 0.001411f, 0.001647f,
		0.001894f, 0.002159f, 0.002687f, 0.003223f, 0.004036f, 0.005150f, 0.006989f, 0.009644f, 0.014420f, 0.023361f, 0.040802f, 0.076050f,
		0.146362f, 0.269287f, 0.763184f, 0.770996f, 0.771973f, 0.771973f, 0.772461f, 0.772461f, 0.000121f, 0.000116f, 0.000114f, 0.000112f,
		0.000109f, 0.000108f, 0.000106f, 0.000105f, 0.000104f, 0.000101f, 0.000095f, 0.000090f, 0.000085f, 0.000083f, 0.000104f, 0.000097f,
		0.000094f, 0.000154f, 0.000127f, 0.000178f, 0.000197f, 0.000194f, 0.000233f, 0.000213f, 0.000279f, 0.000294f, 0.000293f, 0.000258f,
		0.000319f, 0.000394f, 0.000344f, 0.000369f, 0.000394f, 0.000410f, 0.000438f, 0.000509f, 0.000514f, 0.000580f, 0.000617f, 0.000684f,
		0.000807f, 0.000812f, 0.000914f, 0.001094f, 0.001183f, 0.001436f, 0.001639f, 0.002033f, 0.002523f, 0.003073f, 0.004063f, 0.005680f,
		0.008560f, 0.013466f, 0.024109f, 0.047791f, 0.102051f, 0.213867f, 0.740234f, 0.746582f, 0.748047f, 0.748535f, 0.749023f, 0.749023f,
		0.000000f, 0.000113f, 0.000108f, 0.000107f, 0.000104f, 0.000102f, 0.000099f, 0.000099f, 0.000097f, 0.000096f, 0.000095f, 0.000091f,
		0.000086f, 0.000081f, 0.000077f, 0.000073f, 0.000085f, 0.000091f, 0.000070f, 0.000102f, 0.000117f, 0.000131f, 0.000145f, 0.000148f,
		0.000171f, 0.000178f, 0.000178f, 0.000207f, 0.000225f, 0.000209f, 0.000285f, 0.000238f, 0.000260f, 0.000298f, 0.000331f, 0.000360f,
		0.000371f, 0.000346f, 0.000407f, 0.000443f, 0.000494f, 0.000516f, 0.000578f, 0.000662f, 0.000767f, 0.000847f, 0.001004f, 0.001149f,
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		0.843262f, 0.855957f, 0.867676f, 0.878906f, 0.888184f, 0.897461f, 0.905273f, 0.912598f, 0.919922f, 0.926758f, 0.932129f, 0.937988f,
		0.942871f, 0.947754f, 0.951660f, 0.955566f, 0.960449f, 0.964355f, 0.967285f, 0.970215f, 0.973145f, 0.976074f, 0.989746f, 0.990234f,
		0.990234f, 0.990234f, 0.989746f, 0.988770f, 0.001566f, 0.005798f, 0.010231f, 0.015259f, 0.020920f, 0.027176f, 0.034607f, 0.043335f,
		0.052887f, 0.064392f, 0.077576f, 0.092712f, 0.109802f, 0.129639f, 0.151611f, 0.176758f, 0.204346f, 0.235474f, 0.269043f, 0.304688f,
		0.342529f, 0.381836f, 0.421143f, 0.460449f, 0.500488f, 0.538086f, 0.574219f, 0.608887f, 0.640625f, 0.670898f, 0.699219f, 0.725098f,
		0.748535f, 0.769043f, 0.788574f, 0.807129f, 0.823242f, 0.837402f, 0.850586f, 0.863281f, 0.874512f, 0.885254f, 0.894043f, 0.902832f,
		0.910645f, 0.917969f, 0.924805f, 0.931152f, 0.936523f, 0.941895f, 0.947266f, 0.951172f, 0.955566f, 0.960449f, 0.963867f, 0.966797f,
		0.970703f, 0.973145f, 0.988281f, 0.989258f, 0.989258f, 0.989258f, 0.988770f, 0.988281f, 0.001427f, 0.004749f, 0.008934f, 0.012833f,
		0.017670f, 0.023483f, 0.029114f, 0.036438f, 0.044556f, 0.054047f, 0.064453f, 0.077148f, 0.091309f, 0.107544f, 0.125854f, 0.146729f,
		0.170776f, 0.197266f, 0.226440f, 0.257568f, 0.292236f, 0.329346f, 0.367188f, 0.405762f, 0.445557f, 0.484619f, 0.522949f, 0.559570f,
		0.595215f, 0.627441f, 0.659180f, 0.687012f, 0.714355f, 0.739258f, 0.761719f, 0.781738f, 0.800781f, 0.817383f, 0.833984f, 0.847168f,
		0.859375f, 0.872070f, 0.882324f, 0.891602f, 0.900879f, 0.909668f, 0.916504f, 0.923828f, 0.930176f, 0.936523f, 0.941895f, 0.946777f,
		0.951172f, 0.956055f, 0.960449f, 0.963867f, 0.967285f, 0.970703f, 0.987305f, 0.988770f, 0.988281f, 0.987793f, 0.987793f, 0.987793f,
		0.001357f, 0.004501f, 0.007557f, 0.011284f, 0.015236f, 0.019791f, 0.025101f, 0.030838f, 0.037628f, 0.045532f, 0.054596f, 0.064636f,
		0.076355f, 0.089905f, 0.105042f, 0.122498f, 0.142334f, 0.164307f, 0.189697f, 0.217896f, 0.248413f, 0.281494f, 0.316406f, 0.354004f,
		0.391846f, 0.430664f, 0.469971f, 0.508301f, 0.545898f, 0.582031f, 0.615723f, 0.647461f, 0.677734f, 0.704590f, 0.731445f, 0.754395f,
		0.775391f, 0.794922f, 0.811523f, 0.829102f, 0.842773f, 0.856934f, 0.868652f, 0.880371f, 0.891113f, 0.899414f, 0.908203f, 0.915527f,
		0.922852f, 0.930176f, 0.936035f, 0.941406f, 0.947266f, 0.951660f, 0.957031f, 0.960449f, 0.963867f, 0.968262f, 0.986328f, 0.987305f,
		0.987793f, 0.987305f, 0.987305f, 0.986816f, 0.001239f, 0.003864f, 0.006699f, 0.009621f, 0.013008f, 0.017059f, 0.021805f, 0.026703f,
		0.032562f, 0.039185f, 0.045807f, 0.054352f, 0.064514f, 0.075439f, 0.088257f, 0.102478f, 0.119263f, 0.138306f, 0.159546f, 0.183228f,
		0.209961f, 0.239258f, 0.271484f, 0.305176f, 0.341797f, 0.379639f, 0.417480f, 0.456787f, 0.495605f, 0.532227f, 0.570801f, 0.604980f,
		0.637207f, 0.666992f, 0.696289f, 0.722656f, 0.746582f, 0.768555f, 0.789062f, 0.808105f, 0.824219f, 0.839844f, 0.854492f, 0.865723f,
		0.878418f, 0.888672f, 0.897461f, 0.906738f, 0.915039f, 0.922363f, 0.929199f, 0.935547f, 0.941895f, 0.946289f, 0.952148f, 0.956543f,
		0.960449f, 0.964844f, 0.985352f, 0.986816f, 0.986816f, 0.986328f, 0.986328f, 0.985840f, 0.001151f, 0.003429f, 0.005753f, 0.008400f,
		0.011391f, 0.014877f, 0.018494f, 0.022858f, 0.028046f, 0.033112f, 0.039642f, 0.046661f, 0.054565f, 0.064026f, 0.074280f, 0.086243f,
		0.100403f, 0.116150f, 0.133789f, 0.154053f, 0.176636f, 0.202393f, 0.230957f, 0.261719f, 0.295166f, 0.330322f, 0.367432f, 0.405518f,
		0.445312f, 0.483398f, 0.520996f, 0.558105f, 0.594238f, 0.626465f, 0.659668f, 0.688477f, 0.714844f, 0.740723f, 0.763672f, 0.784180f,
		0.804199f, 0.821289f, 0.837402f, 0.852051f, 0.864258f, 0.876465f, 0.886719f, 0.897949f, 0.906250f, 0.915039f, 0.922363f, 0.929199f,
		0.935547f, 0.941406f, 0.946777f, 0.952637f, 0.958008f, 0.961914f, 0.983887f, 0.985840f, 0.985352f, 0.985352f, 0.984863f, 0.984863f,
		0.001000f, 0.002768f, 0.005127f, 0.007515f, 0.010155f, 0.013283f, 0.016205f, 0.019714f, 0.023987f, 0.028854f, 0.033905f, 0.040161f,
		0.046814f, 0.054199f, 0.063110f, 0.073303f, 0.084839f, 0.098145f, 0.112854f, 0.129883f, 0.149292f, 0.171387f, 0.195435f, 0.222778f,
		0.252686f, 0.285400f, 0.320312f, 0.356689f, 0.394531f, 0.433105f, 0.471924f, 0.510742f, 0.547852f, 0.584473f, 0.617676f, 0.650879f,
		0.680664f, 0.708984f, 0.734375f, 0.759277f, 0.780762f, 0.799805f, 0.817383f, 0.834473f, 0.849121f, 0.862793f, 0.875488f, 0.886719f,
		0.896484f, 0.906250f, 0.915039f, 0.923828f, 0.930176f, 0.936035f, 0.942871f, 0.948242f, 0.953613f, 0.958008f, 0.982910f, 0.983887f,
		0.984375f, 0.983887f, 0.984375f, 0.983398f, 0.000799f, 0.002705f, 0.004459f, 0.006573f, 0.008842f, 0.011375f, 0.014099f, 0.017487f,
		0.020798f, 0.024963f, 0.029465f, 0.034637f, 0.039703f, 0.046478f, 0.054047f, 0.062256f, 0.072388f, 0.082947f, 0.095764f, 0.110229f,
		0.126099f, 0.144775f, 0.165771f, 0.189697f, 0.216187f, 0.244995f, 0.276123f, 0.310303f, 0.346191f, 0.384521f, 0.422607f, 0.461670f,
		0.500000f, 0.538574f, 0.575195f, 0.609863f, 0.643555f, 0.673828f, 0.702637f, 0.730469f, 0.754395f, 0.777344f, 0.797363f, 0.815430f,
		0.833008f, 0.848633f, 0.861328f, 0.875000f, 0.886719f, 0.896973f, 0.906738f, 0.915039f, 0.923340f, 0.930176f, 0.936523f, 0.943848f,
		0.948730f, 0.954102f, 0.981445f, 0.983398f, 0.982910f, 0.983398f, 0.982910f, 0.982910f, 0.000774f, 0.002554f, 0.003899f, 0.005875f,
		0.007759f, 0.009949f, 0.012733f, 0.015060f, 0.018280f, 0.021667f, 0.025574f, 0.029678f, 0.034698f, 0.040405f, 0.046570f, 0.053650f,
		0.061462f, 0.071106f, 0.081360f, 0.093323f, 0.107300f, 0.122864f, 0.140747f, 0.160522f, 0.183960f, 0.209229f, 0.237305f, 0.268799f,
		0.302002f, 0.337402f, 0.374023f, 0.413330f, 0.451904f, 0.490967f, 0.529785f, 0.567383f, 0.603027f, 0.636719f, 0.668457f, 0.698242f,
		0.725586f, 0.750977f, 0.773926f, 0.793945f, 0.813965f, 0.831543f, 0.847656f, 0.861816f, 0.874512f, 0.886719f, 0.897461f, 0.906738f,
		0.915527f, 0.923828f, 0.931641f, 0.937988f, 0.944824f, 0.949707f, 0.979980f, 0.981934f, 0.981934f, 0.981934f, 0.981934f, 0.981445f,
		0.000657f, 0.001934f, 0.003330f, 0.005280f, 0.006748f, 0.009079f, 0.010994f, 0.013763f, 0.015945f, 0.019150f, 0.022003f, 0.026001f,
		0.030350f, 0.034790f, 0.040253f, 0.045898f, 0.052795f, 0.060852f, 0.069641f, 0.079346f, 0.091187f, 0.104492f, 0.119751f, 0.136963f,
		0.156372f, 0.178345f, 0.203247f, 0.230957f, 0.260742f, 0.294189f, 0.328613f, 0.365723f, 0.403564f, 0.443115f, 0.482910f, 0.521484f,
		0.559570f, 0.596680f, 0.630859f, 0.664062f, 0.694336f, 0.722168f, 0.747559f, 0.771484f, 0.793457f, 0.813477f, 0.830078f, 0.846191f,
		0.861816f, 0.874023f, 0.887207f, 0.898438f, 0.908691f, 0.916992f, 0.925293f, 0.933594f, 0.939941f, 0.946777f, 0.978516f, 0.980469f,
		0.980469f, 0.980469f, 0.980469f, 0.980469f, 0.000818f, 0.001935f, 0.003246f, 0.004658f, 0.006229f, 0.007912f, 0.010017f, 0.012093f,
		0.014259f, 0.016586f, 0.019653f, 0.022659f, 0.026413f, 0.030289f, 0.034790f, 0.039917f, 0.045441f, 0.052338f, 0.059479f, 0.068115f,
		0.077759f, 0.089050f, 0.102051f, 0.116272f, 0.133179f, 0.152344f, 0.173340f, 0.197876f, 0.224243f, 0.254150f, 0.286621f, 0.321533f,
		0.357666f, 0.396729f, 0.436279f, 0.475830f, 0.514648f, 0.553711f, 0.590332f, 0.626465f, 0.659180f, 0.689941f, 0.719238f, 0.746094f,
		0.770020f, 0.792480f, 0.812500f, 0.830566f, 0.846680f, 0.862305f, 0.875977f, 0.888184f, 0.899414f, 0.910156f, 0.918945f, 0.927246f,
		0.935059f, 0.941895f, 0.977051f, 0.979004f, 0.979492f, 0.979004f, 0.979492f, 0.979004f, 0.000583f, 0.001696f, 0.003044f, 0.004276f,
		0.005394f, 0.007111f, 0.009048f, 0.010727f, 0.012802f, 0.014549f, 0.017319f, 0.019943f, 0.023132f, 0.026459f, 0.030212f, 0.034576f,
		0.039612f, 0.045105f, 0.051422f, 0.058594f, 0.066833f, 0.076416f, 0.087341f, 0.099792f, 0.113647f, 0.130005f, 0.147827f, 0.168945f,
		0.192261f, 0.218750f, 0.247803f, 0.280029f, 0.314209f, 0.351074f, 0.389404f, 0.429199f, 0.468750f, 0.508301f, 0.547852f, 0.585938f,
		0.622070f, 0.655762f, 0.687988f, 0.718262f, 0.744629f, 0.769531f, 0.792480f, 0.812500f, 0.832520f, 0.848633f, 0.863770f, 0.877441f,
		0.890137f, 0.901367f, 0.912109f, 0.921387f, 0.929199f, 0.937500f, 0.975586f, 0.978027f, 0.978027f, 0.977539f, 0.977539f, 0.977051f,
		0.000463f, 0.001634f, 0.002899f, 0.003574f, 0.004932f, 0.006233f, 0.007866f, 0.009644f, 0.011055f, 0.012894f, 0.015518f, 0.017792f,
		0.020279f, 0.023178f, 0.026657f, 0.030136f, 0.034271f, 0.039062f, 0.044586f, 0.050446f, 0.057739f, 0.065613f, 0.074646f, 0.084900f,
		0.097107f, 0.111023f, 0.126099f, 0.143921f, 0.164673f, 0.187500f, 0.213257f, 0.242065f, 0.273926f, 0.308594f, 0.344971f, 0.383301f,
		0.423340f, 0.463623f, 0.503906f, 0.543945f, 0.582520f, 0.619629f, 0.653809f, 0.686523f, 0.717285f, 0.744629f, 0.770020f, 0.792969f,
		0.814453f, 0.833496f, 0.850098f, 0.866211f, 0.879395f, 0.893066f, 0.904297f, 0.914551f, 0.923828f, 0.932129f, 0.973145f, 0.976074f,
		0.976562f, 0.976074f, 0.976074f, 0.976074f, 0.000472f, 0.001289f, 0.002508f, 0.003481f, 0.004459f, 0.005894f, 0.007042f, 0.008232f,
		0.009972f, 0.011719f, 0.013435f, 0.015884f, 0.017899f, 0.020386f, 0.023422f, 0.026428f, 0.030411f, 0.034180f, 0.038757f, 0.043854f,
		0.049652f, 0.056549f, 0.064270f, 0.073303f, 0.083252f, 0.095093f, 0.107910f, 0.123169f, 0.141113f, 0.160645f, 0.183472f, 0.208618f,
		0.237305f, 0.268799f, 0.302734f, 0.339600f, 0.377930f, 0.418457f, 0.459473f, 0.500000f, 0.540527f, 0.579102f, 0.617188f, 0.652832f,
		0.685547f, 0.716309f, 0.745117f, 0.771484f, 0.794922f, 0.815918f, 0.834961f, 0.853027f, 0.868652f, 0.882324f, 0.895996f, 0.907227f,
		0.916992f, 0.927246f, 0.972168f, 0.974121f, 0.975098f, 0.973633f, 0.974609f, 0.973633f, 0.000238f, 0.001453f, 0.002047f, 0.002985f,
		0.004227f, 0.005272f, 0.006096f, 0.007309f, 0.008957f, 0.010437f, 0.012184f, 0.014214f, 0.015793f, 0.018082f, 0.020538f, 0.023270f,
		0.026505f, 0.029648f, 0.033813f, 0.038300f, 0.043457f, 0.049042f, 0.055298f, 0.062744f, 0.070984f, 0.081299f, 0.092590f, 0.105591f,
		0.120361f, 0.137695f, 0.156982f, 0.179443f, 0.204346f, 0.232788f, 0.263672f, 0.297363f, 0.334229f, 0.373047f, 0.414307f, 0.455322f,
		0.497314f, 0.538086f, 0.578613f, 0.616211f, 0.653320f, 0.686523f, 0.718262f, 0.747559f, 0.773438f, 0.797363f, 0.818848f, 0.838867f,
		0.856934f, 0.871582f, 0.885742f, 0.898926f, 0.910645f, 0.920410f, 0.970215f, 0.971680f, 0.972656f, 0.972656f, 0.972168f, 0.972168f,
		0.000376f, 0.001075f, 0.002052f, 0.002823f, 0.003603f, 0.004509f, 0.005619f, 0.007008f, 0.008064f, 0.009132f, 0.010849f, 0.012314f,
		0.013817f, 0.015945f, 0.018188f, 0.020676f, 0.022995f, 0.026230f, 0.029587f, 0.033234f, 0.037598f, 0.042328f, 0.048004f, 0.054230f,
		0.061188f, 0.069824f, 0.079468f, 0.090454f, 0.103271f, 0.117493f, 0.134644f, 0.153931f, 0.175293f, 0.200806f, 0.228149f, 0.259277f,
		0.293945f, 0.330566f, 0.370117f, 0.410889f, 0.453369f, 0.495605f, 0.537109f, 0.578125f, 0.616699f, 0.653809f, 0.689453f, 0.721191f,
		0.750000f, 0.776855f, 0.800293f, 0.822754f, 0.841309f, 0.859863f, 0.876465f, 0.890137f, 0.902832f, 0.914062f, 0.967773f, 0.970703f,
		0.970703f, 0.970703f, 0.970703f, 0.970703f, 0.000237f, 0.000972f, 0.001674f, 0.002413f, 0.003336f, 0.003956f, 0.005093f, 0.006039f,
		0.007069f, 0.008202f, 0.009613f, 0.011017f, 0.012520f, 0.014282f, 0.016068f, 0.017853f, 0.020508f, 0.023117f, 0.025986f, 0.029160f,
		0.032898f, 0.036865f, 0.041565f, 0.046997f, 0.052887f, 0.060089f, 0.068176f, 0.077515f, 0.088257f, 0.100586f, 0.114929f, 0.131592f,
		0.150635f, 0.172241f, 0.196411f, 0.224731f, 0.255859f, 0.290039f, 0.327393f, 0.367188f, 0.409180f, 0.451172f, 0.493896f, 0.536621f,
		0.578613f, 0.618164f, 0.655762f, 0.691406f, 0.724121f, 0.753906f, 0.781738f, 0.805176f, 0.827637f, 0.847656f, 0.864746f, 0.880859f,
		0.895508f, 0.907715f, 0.965332f, 0.968262f, 0.968750f, 0.969238f, 0.967773f, 0.967773f, 0.000450f, 0.001033f, 0.001554f, 0.002131f,
		0.002939f, 0.003662f, 0.004551f, 0.005722f, 0.006405f, 0.007542f, 0.008484f, 0.009750f, 0.011017f, 0.012596f, 0.014046f, 0.015854f,
		0.017975f, 0.020264f, 0.022736f, 0.025497f, 0.028671f, 0.031952f, 0.036011f, 0.040741f, 0.045746f, 0.051910f, 0.058868f, 0.066772f,
		0.075867f, 0.086304f, 0.098328f, 0.112244f, 0.128784f, 0.147217f, 0.168945f, 0.193848f, 0.221558f, 0.252441f, 0.287109f, 0.324951f,
		0.365234f, 0.407715f, 0.450684f, 0.494629f, 0.539062f, 0.580566f, 0.621094f, 0.659668f, 0.695801f, 0.729004f, 0.758789f, 0.786133f,
		0.810547f, 0.833008f, 0.852539f, 0.870117f, 0.886719f, 0.900879f, 0.962891f, 0.966309f, 0.966309f, 0.966797f, 0.966797f, 0.966309f,
		0.000304f, 0.001050f, 0.001257f, 0.002295f, 0.002689f, 0.003885f, 0.004284f, 0.004726f, 0.005547f, 0.006721f, 0.007595f, 0.008667f,
		0.009811f, 0.011330f, 0.012642f, 0.014130f, 0.016098f, 0.017975f, 0.019867f, 0.022247f, 0.024811f, 0.028030f, 0.031403f, 0.035461f,
		0.039642f, 0.044800f, 0.050720f, 0.057495f, 0.065002f, 0.073914f, 0.084290f, 0.095947f, 0.109985f, 0.126343f, 0.144409f, 0.166138f,
		0.190918f, 0.218750f, 0.250244f, 0.285400f, 0.323730f, 0.364258f, 0.407471f, 0.452148f, 0.496338f, 0.540527f, 0.584473f, 0.625977f,
		0.665039f, 0.701172f, 0.735352f, 0.765137f, 0.792480f, 0.817383f, 0.840332f, 0.859863f, 0.876953f, 0.893066f, 0.959961f, 0.963379f,
		0.963867f, 0.964355f, 0.963867f, 0.963867f, 0.000228f, 0.000682f, 0.001293f, 0.001717f, 0.002352f, 0.003160f, 0.003626f, 0.004360f,
		0.005348f, 0.005871f, 0.006870f, 0.007660f, 0.008957f, 0.010002f, 0.011299f, 0.012375f, 0.014099f, 0.015900f, 0.017670f, 0.019363f,
		0.022034f, 0.024216f, 0.027420f, 0.030930f, 0.034454f, 0.038910f, 0.044006f, 0.049530f, 0.055878f, 0.063477f, 0.072083f, 0.082275f,
		0.094177f, 0.107666f, 0.123840f, 0.142090f, 0.163452f, 0.188477f, 0.216919f, 0.248047f, 0.283447f, 0.322754f, 0.364990f, 0.408447f,
		0.453613f, 0.500000f, 0.544922f, 0.589355f, 0.631348f, 0.671387f, 0.708008f, 0.742188f, 0.773438f, 0.800781f, 0.824219f, 0.846680f,
		0.866699f, 0.884277f, 0.958008f, 0.960938f, 0.961426f, 0.962402f, 0.961914f, 0.960938f, 0.000239f, 0.000731f, 0.001204f, 0.001637f,
		0.002144f, 0.002913f, 0.003521f, 0.003828f, 0.004517f, 0.005291f, 0.006203f, 0.006954f, 0.007740f, 0.008911f, 0.010239f, 0.011017f,
		0.012413f, 0.013863f, 0.015396f, 0.017181f, 0.019196f, 0.021439f, 0.024078f, 0.026993f, 0.030182f, 0.033752f, 0.038055f, 0.042664f,
		0.048004f, 0.054657f, 0.061920f, 0.070312f, 0.080688f, 0.092041f, 0.105774f, 0.121094f, 0.140015f, 0.161255f, 0.186523f, 0.214966f,
		0.246948f, 0.283203f, 0.322998f, 0.365967f, 0.410400f, 0.457275f, 0.503906f, 0.550781f, 0.596191f, 0.638672f, 0.678711f, 0.716797f,
		0.750488f, 0.781738f, 0.809082f, 0.833496f, 0.855469f, 0.874512f, 0.954590f, 0.958008f, 0.958984f, 0.958984f, 0.958984f, 0.958984f,
		0.000226f, 0.000663f, 0.001073f, 0.001420f, 0.002163f, 0.002567f, 0.003052f, 0.003433f, 0.004181f, 0.004734f, 0.005516f, 0.006424f,
		0.007050f, 0.008003f, 0.008659f, 0.009827f, 0.011086f, 0.012398f, 0.013649f, 0.015266f, 0.016891f, 0.018921f, 0.021118f, 0.023560f,
		0.026505f, 0.029556f, 0.032715f, 0.036865f, 0.041077f, 0.046570f, 0.053314f, 0.060150f, 0.068787f, 0.078552f, 0.090027f, 0.103638f,
		0.119690f, 0.138184f, 0.159546f, 0.184692f, 0.213745f, 0.245972f, 0.283203f, 0.324219f, 0.367920f, 0.414062f, 0.461914f, 0.509766f,
		0.557129f, 0.604492f, 0.647461f, 0.688965f, 0.727051f, 0.761230f, 0.791504f, 0.819824f, 0.844238f, 0.865234f, 0.951660f, 0.955566f,
		0.955566f, 0.956055f, 0.955078f, 0.956543f, 0.000156f, 0.000587f, 0.001056f, 0.001499f, 0.001647f, 0.002380f, 0.002594f, 0.003469f,
		0.003777f, 0.004112f, 0.004925f, 0.005699f, 0.006180f, 0.007019f, 0.007957f, 0.008942f, 0.009560f, 0.010727f, 0.011963f, 0.013123f,
		0.014885f, 0.016556f, 0.018494f, 0.020355f, 0.022766f, 0.025330f, 0.028320f, 0.031830f, 0.035736f, 0.040161f, 0.045532f, 0.052032f,
		0.059113f, 0.066833f, 0.076782f, 0.088501f, 0.101868f, 0.117310f, 0.136108f, 0.157959f, 0.183105f, 0.212769f, 0.247070f, 0.284424f,
		0.326660f, 0.371338f, 0.419189f, 0.468994f, 0.518066f, 0.567383f, 0.613770f, 0.658691f, 0.700684f, 0.738770f, 0.771973f, 0.803223f,
		0.829590f, 0.854492f, 0.947266f, 0.952637f, 0.952637f, 0.952637f, 0.953125f, 0.952637f, 0.000155f, 0.000358f, 0.000859f, 0.001402f,
		0.001830f, 0.002092f, 0.002499f, 0.002672f, 0.003410f, 0.003763f, 0.004375f, 0.005077f, 0.005535f, 0.006554f, 0.007004f, 0.007874f,
		0.008537f, 0.009529f, 0.010742f, 0.011749f, 0.013016f, 0.014427f, 0.015945f, 0.017929f, 0.019775f, 0.022018f, 0.024460f, 0.027618f,
		0.030640f, 0.034668f, 0.039154f, 0.044250f, 0.050293f, 0.057068f, 0.065491f, 0.074951f, 0.086487f, 0.099670f, 0.115906f, 0.134277f,
		0.156860f, 0.182495f, 0.213135f, 0.248047f, 0.286621f, 0.329834f, 0.376709f, 0.426025f, 0.476562f, 0.527832f, 0.577637f, 0.626465f,
		0.671387f, 0.713379f, 0.752441f, 0.784668f, 0.815430f, 0.841797f, 0.944336f, 0.948242f, 0.949219f, 0.949219f, 0.949219f, 0.949707f,
		0.000233f, 0.000639f, 0.000930f, 0.001277f, 0.001579f, 0.001916f, 0.002041f, 0.002625f, 0.003035f, 0.003571f, 0.004124f, 0.004375f,
		0.004978f, 0.005379f, 0.006348f, 0.006886f, 0.007526f, 0.008430f, 0.009216f, 0.010262f, 0.011436f, 0.012779f, 0.014160f, 0.015549f,
		0.017120f, 0.019089f, 0.021164f, 0.023621f, 0.026352f, 0.029724f, 0.033447f, 0.037842f, 0.042603f, 0.048737f, 0.055573f, 0.063721f,
		0.073364f, 0.084778f, 0.098206f, 0.114197f, 0.133423f, 0.155762f, 0.182739f, 0.213623f, 0.249512f, 0.289795f, 0.335205f, 0.383789f,
		0.434814f, 0.487305f, 0.540039f, 0.591797f, 0.640137f, 0.686035f, 0.727539f, 0.765137f, 0.800293f, 0.830078f, 0.940430f, 0.944336f,
		0.945312f, 0.946289f, 0.945801f, 0.945312f, 0.000217f, 0.000519f, 0.000848f, 0.001180f, 0.001366f, 0.001589f, 0.001986f, 0.002354f,
		0.002987f, 0.003170f, 0.003576f, 0.003901f, 0.004440f, 0.004738f, 0.005543f, 0.006058f, 0.006508f, 0.007511f, 0.008163f, 0.009132f,
		0.010078f, 0.011246f, 0.012390f, 0.013412f, 0.014938f, 0.016632f, 0.018433f, 0.020676f, 0.022995f, 0.025726f, 0.028702f, 0.032227f,
		0.036377f, 0.041992f, 0.047394f, 0.053986f, 0.062195f, 0.071716f, 0.082825f, 0.096802f, 0.112732f, 0.132202f, 0.155273f, 0.182861f,
		0.215210f, 0.252441f, 0.294678f, 0.341553f, 0.392090f, 0.445557f, 0.499512f, 0.553711f, 0.606445f, 0.656250f, 0.703125f, 0.745605f,
		0.782715f, 0.816895f, 0.935547f, 0.939941f, 0.941406f, 0.941406f, 0.941406f, 0.940918f, 0.000242f, 0.000678f, 0.000781f, 0.000928f,
		0.001200f, 0.001592f, 0.001694f, 0.002096f, 0.002703f, 0.002903f, 0.003170f, 0.003531f, 0.003918f, 0.004433f, 0.004955f, 0.005390f,
		0.005939f, 0.006454f, 0.007298f, 0.007782f, 0.008759f, 0.009567f, 0.010559f, 0.011650f, 0.013046f, 0.014420f, 0.015793f, 0.017715f,
		0.019699f, 0.021774f, 0.024460f, 0.027481f, 0.031082f, 0.035065f, 0.039917f, 0.045715f, 0.052246f, 0.060486f, 0.070129f, 0.081482f,
		0.095093f, 0.111755f, 0.131714f, 0.155273f, 0.183838f, 0.217285f, 0.256348f, 0.300781f, 0.350342f, 0.403076f, 0.458252f, 0.514160f,
		0.570312f, 0.624512f, 0.675781f, 0.722168f, 0.763672f, 0.800293f, 0.930664f, 0.935547f, 0.937500f, 0.937012f, 0.937500f, 0.937012f,
		0.000239f, 0.000297f, 0.000667f, 0.000785f, 0.001044f, 0.001269f, 0.001569f, 0.001950f, 0.002224f, 0.002419f, 0.002810f, 0.003063f,
		0.003626f, 0.003895f, 0.004261f, 0.004749f, 0.005066f, 0.005726f, 0.006260f, 0.007019f, 0.007771f, 0.008369f, 0.008919f, 0.009941f,
		0.011101f, 0.012375f, 0.013519f, 0.015190f, 0.016891f, 0.018631f, 0.021011f, 0.023590f, 0.026581f, 0.029892f, 0.033875f, 0.038757f,
		0.044281f, 0.051147f, 0.058746f, 0.068481f, 0.079834f, 0.094116f, 0.110779f, 0.131348f, 0.155884f, 0.185669f, 0.220825f, 0.261963f,
		0.308594f, 0.360352f, 0.416260f, 0.473877f, 0.532715f, 0.589844f, 0.645508f, 0.696289f, 0.743652f, 0.784668f, 0.925781f, 0.930664f,
		0.932129f, 0.932129f, 0.932129f, 0.932129f, 0.000226f, 0.000351f, 0.000434f, 0.000624f, 0.000887f, 0.001040f, 0.001246f, 0.001665f,
		0.001856f, 0.002384f, 0.002420f, 0.002842f, 0.002874f, 0.003471f, 0.003735f, 0.004078f, 0.004639f, 0.004910f, 0.005531f, 0.006065f,
		0.006664f, 0.007370f, 0.007690f, 0.008690f, 0.009544f, 0.010536f, 0.011795f, 0.012833f, 0.014183f, 0.015900f, 0.017899f, 0.019684f,
		0.022430f, 0.025253f, 0.028412f, 0.032410f, 0.037201f, 0.042633f, 0.049316f, 0.057159f, 0.066772f, 0.078186f, 0.092590f, 0.110107f,
		0.131348f, 0.156982f, 0.188232f, 0.225342f, 0.269043f, 0.318604f, 0.373535f, 0.431641f, 0.492188f, 0.554199f, 0.613281f, 0.668945f,
		0.720703f, 0.766602f, 0.919922f, 0.925781f, 0.926758f, 0.926758f, 0.927246f, 0.926758f, 0.000000f, 0.000340f, 0.000458f, 0.000715f,
		0.000823f, 0.000895f, 0.001165f, 0.001518f, 0.001636f, 0.001876f, 0.002190f, 0.002472f, 0.002640f, 0.002964f, 0.003340f, 0.003527f,
		0.004005f, 0.004227f, 0.004803f, 0.005260f, 0.005878f, 0.006042f, 0.006805f, 0.007500f, 0.008469f, 0.009132f, 0.009949f, 0.011009f,
		0.012077f, 0.013687f, 0.014938f, 0.016785f, 0.018997f, 0.021194f, 0.023895f, 0.027283f, 0.030945f, 0.035583f, 0.040955f, 0.047760f,
		0.055573f, 0.065247f, 0.077209f, 0.091736f, 0.109619f, 0.131470f, 0.159058f, 0.192017f, 0.231812f, 0.278076f, 0.331543f, 0.389404f,
		0.450928f, 0.513672f, 0.577637f, 0.638672f, 0.695801f, 0.746582f, 0.914062f, 0.919922f, 0.920898f, 0.921387f, 0.921387f, 0.921387f,
		0.000146f, 0.000319f, 0.000443f, 0.000458f, 0.000704f, 0.000894f, 0.001199f, 0.001324f, 0.001549f, 0.001592f, 0.002081f, 0.002092f,
		0.002237f, 0.002604f, 0.002815f, 0.003159f, 0.003510f, 0.003937f, 0.004147f, 0.004425f, 0.004814f, 0.005318f, 0.005878f, 0.006413f,
		0.006924f, 0.007782f, 0.008408f, 0.009239f, 0.010414f, 0.011505f, 0.012642f, 0.014015f, 0.015884f, 0.017563f, 0.019852f, 0.022598f,
		0.025650f, 0.029663f, 0.033875f, 0.039307f, 0.045898f, 0.053955f, 0.063782f, 0.075928f, 0.090820f, 0.109497f, 0.132690f, 0.161621f,
		0.196777f, 0.239624f, 0.290039f, 0.346436f, 0.408203f, 0.473633f, 0.540527f, 0.605957f, 0.667969f, 0.725586f, 0.907715f, 0.914062f,
		0.914062f, 0.915039f, 0.915039f, 0.915039f, 0.000121f, 0.000251f, 0.000506f, 0.000532f, 0.000665f, 0.000830f, 0.001190f, 0.001164f,
		0.001290f, 0.001413f, 0.001755f, 0.001900f, 0.002157f, 0.002319f, 0.002422f, 0.002853f, 0.003042f, 0.003254f, 0.003529f, 0.003725f,
		0.004288f, 0.004585f, 0.005043f, 0.005539f, 0.005970f, 0.006386f, 0.007126f, 0.007812f, 0.008652f, 0.009598f, 0.010651f, 0.011803f,
		0.013130f, 0.014702f, 0.016510f, 0.018814f, 0.021011f, 0.024368f, 0.028122f, 0.032379f, 0.037506f, 0.044128f, 0.052277f, 0.062042f,
		0.075073f, 0.090088f, 0.110107f, 0.134766f, 0.165405f, 0.203613f, 0.249268f, 0.303955f, 0.365234f, 0.431396f, 0.501465f, 0.571777f,
		0.638672f, 0.702148f, 0.900879f, 0.906738f, 0.907227f, 0.908203f, 0.907227f, 0.908203f, 0.000241f, 0.000122f, 0.000417f, 0.000505f,
		0.000741f, 0.000782f, 0.000916f, 0.001145f, 0.001189f, 0.001289f, 0.001331f, 0.001565f, 0.001779f, 0.002020f, 0.002171f, 0.002228f,
		0.002623f, 0.002752f, 0.002949f, 0.003157f, 0.003515f, 0.003847f, 0.004082f, 0.004429f, 0.004990f, 0.005405f, 0.006008f, 0.006603f,
		0.007103f, 0.007889f, 0.008789f, 0.009766f, 0.010605f, 0.012177f, 0.013672f, 0.015305f, 0.017487f, 0.019913f, 0.022781f, 0.026245f,
		0.030670f, 0.035980f, 0.042389f, 0.050812f, 0.060883f, 0.073792f, 0.090088f, 0.111145f, 0.138062f, 0.171143f, 0.212524f, 0.262695f,
		0.322266f, 0.388184f, 0.460205f, 0.533203f, 0.606445f, 0.676758f, 0.893066f, 0.898926f, 0.899414f, 0.899414f, 0.900879f, 0.900391f,
		0.000000f, 0.000114f, 0.000227f, 0.000407f, 0.000532f, 0.000732f, 0.000714f, 0.000922f, 0.000993f, 0.001072f, 0.001190f, 0.001412f,
		0.001569f, 0.001726f, 0.001959f, 0.002071f, 0.002159f, 0.002350f, 0.002565f, 0.002729f, 0.003090f, 0.003248f, 0.003702f, 0.003761f,
		0.004192f, 0.004585f, 0.004925f, 0.005272f, 0.005966f, 0.006405f, 0.007275f, 0.007965f, 0.008850f, 0.009872f, 0.011017f, 0.012383f,
		0.014275f, 0.015900f, 0.018463f, 0.021194f, 0.024673f, 0.028870f, 0.034271f, 0.040955f, 0.048981f, 0.059723f, 0.073059f, 0.090149f,
		0.112549f, 0.141357f, 0.178467f, 0.223755f, 0.280029f, 0.345215f, 0.417969f, 0.494385f, 0.572266f, 0.648438f, 0.884277f, 0.890137f,
		0.891602f, 0.891602f, 0.893066f, 0.892090f, 0.000000f, 0.000219f, 0.000211f, 0.000333f, 0.000559f, 0.000609f, 0.000788f, 0.000805f,
		0.000869f, 0.000903f, 0.001101f, 0.001166f, 0.001302f, 0.001399f, 0.001456f, 0.001668f, 0.001853f, 0.001999f, 0.002102f, 0.002256f,
		0.002447f, 0.002728f, 0.002943f, 0.003178f, 0.003515f, 0.003836f, 0.004074f, 0.004475f, 0.004745f, 0.005325f, 0.005970f, 0.006569f,
		0.007248f, 0.008102f, 0.008888f, 0.010132f, 0.011169f, 0.012947f, 0.014763f, 0.016891f, 0.019760f, 0.023087f, 0.027176f, 0.032562f,
		0.038940f, 0.047516f, 0.058167f, 0.072754f, 0.090698f, 0.114929f, 0.146851f, 0.187744f, 0.239258f, 0.301514f, 0.373291f, 0.452637f,
		0.535645f, 0.617676f, 0.874512f, 0.880859f, 0.882324f, 0.883301f, 0.883301f, 0.882324f, 0.000204f, 0.000207f, 0.000204f, 0.000322f,
		0.000435f, 0.000480f, 0.000556f, 0.000615f, 0.000747f, 0.000782f, 0.000844f, 0.001006f, 0.001159f, 0.001191f, 0.001231f, 0.001450f,
		0.001585f, 0.001633f, 0.001790f, 0.001919f, 0.002117f, 0.002298f, 0.002432f, 0.002651f, 0.002939f, 0.003172f, 0.003399f, 0.003614f,
		0.003944f, 0.004421f, 0.004704f, 0.005203f, 0.005886f, 0.006454f, 0.007160f, 0.008049f, 0.009041f, 0.010201f, 0.011627f, 0.013237f,
		0.015404f, 0.018097f, 0.021469f, 0.025284f, 0.030884f, 0.036987f, 0.045990f, 0.056915f, 0.072083f, 0.092163f, 0.119141f, 0.154419f,
		0.200928f, 0.259277f, 0.328857f, 0.409424f, 0.495605f, 0.584473f, 0.864258f, 0.871094f, 0.872070f, 0.873047f, 0.872559f, 0.873047f,
		0.000000f, 0.000044f, 0.000176f, 0.000290f, 0.000410f, 0.000390f, 0.000513f, 0.000546f, 0.000647f, 0.000680f, 0.000827f, 0.000858f,
		0.000958f, 0.001131f, 0.001102f, 0.001223f, 0.001367f, 0.001401f, 0.001525f, 0.001610f, 0.001826f, 0.001821f, 0.002039f, 0.002253f,
		0.002459f, 0.002617f, 0.002708f, 0.003036f, 0.003279f, 0.003431f, 0.003805f, 0.004219f, 0.004471f, 0.004929f, 0.005569f, 0.006310f,
		0.007107f, 0.007988f, 0.009003f, 0.010384f, 0.011856f, 0.014015f, 0.016418f, 0.019669f, 0.023666f, 0.028809f, 0.035583f, 0.044159f,
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		0.770996f, 0.788086f, 0.804199f, 0.818359f, 0.831543f, 0.843750f, 0.854492f, 0.864746f, 0.873535f, 0.882812f, 0.890137f, 0.898438f,
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		0.961914f, 0.965332f, 0.968262f, 0.971680f, 0.973633f, 0.976562f, 0.979492f, 0.981445f, 0.983398f, 0.985352f, 0.993164f, 0.993164f,
		0.992676f, 0.991699f, 0.991211f, 0.990234f, 0.006332f, 0.020325f, 0.036438f, 0.055573f, 0.077026f, 0.101562f, 0.129028f, 0.160278f,
		0.194458f, 0.230347f, 0.268555f, 0.309326f, 0.350830f, 0.391846f, 0.432373f, 0.472412f, 0.509277f, 0.545410f, 0.579102f, 0.611816f,
		0.640625f, 0.668945f, 0.693848f, 0.716797f, 0.739258f, 0.758789f, 0.775879f, 0.793945f, 0.807617f, 0.821777f, 0.834961f, 0.846680f,
		0.857422f, 0.867676f, 0.877441f, 0.885742f, 0.893555f, 0.900391f, 0.908203f, 0.915039f, 0.920898f, 0.926270f, 0.931152f, 0.937012f,
		0.940918f, 0.946289f, 0.949219f, 0.954102f, 0.958008f, 0.960938f, 0.964355f, 0.967773f, 0.970703f, 0.973145f, 0.975586f, 0.978516f,
		0.981445f, 0.983398f, 0.992188f, 0.992188f, 0.991699f, 0.990723f, 0.990723f, 0.989746f, 0.005226f, 0.016647f, 0.029556f, 0.044434f,
		0.061523f, 0.081543f, 0.103760f, 0.129150f, 0.157837f, 0.188477f, 0.221924f, 0.257812f, 0.295654f, 0.334473f, 0.374023f, 0.412842f,
		0.451904f, 0.489990f, 0.525391f, 0.560059f, 0.593262f, 0.623047f, 0.651855f, 0.678223f, 0.702148f, 0.725098f, 0.745605f, 0.764160f,
		0.781738f, 0.799316f, 0.812500f, 0.827148f, 0.838867f, 0.851074f, 0.861328f, 0.871582f, 0.880371f, 0.889648f, 0.896973f, 0.904297f,
		0.911621f, 0.917480f, 0.923340f, 0.929688f, 0.934570f, 0.939941f, 0.943848f, 0.948242f, 0.951660f, 0.957031f, 0.959473f, 0.963379f,
		0.966797f, 0.969727f, 0.972656f, 0.976074f, 0.979004f, 0.980957f, 0.991699f, 0.991211f, 0.990723f, 0.990234f, 0.989746f, 0.988770f,
		0.004108f, 0.013542f, 0.023819f, 0.036194f, 0.050262f, 0.066223f, 0.084717f, 0.104797f, 0.128174f, 0.153809f, 0.182861f, 0.213989f,
		0.247437f, 0.282471f, 0.319580f, 0.357422f, 0.395508f, 0.433350f, 0.470947f, 0.506348f, 0.542480f, 0.575684f, 0.605957f, 0.635254f,
		0.662109f, 0.687988f, 0.711426f, 0.732910f, 0.753418f, 0.771973f, 0.789062f, 0.804688f, 0.819336f, 0.831543f, 0.843750f, 0.855469f,
		0.866211f, 0.875488f, 0.884766f, 0.893066f, 0.901367f, 0.907715f, 0.914062f, 0.921387f, 0.927246f, 0.932129f, 0.937012f, 0.942383f,
		0.946777f, 0.951660f, 0.956055f, 0.959473f, 0.962891f, 0.966309f, 0.969238f, 0.972168f, 0.975098f, 0.978027f, 0.989746f, 0.990234f,
		0.990234f, 0.989258f, 0.989258f, 0.988281f, 0.003597f, 0.011330f, 0.020065f, 0.029938f, 0.041412f, 0.054504f, 0.068970f, 0.086182f,
		0.105469f, 0.126709f, 0.151123f, 0.177612f, 0.206909f, 0.237915f, 0.271484f, 0.305664f, 0.342529f, 0.378906f, 0.416748f, 0.453125f,
		0.489502f, 0.524414f, 0.558105f, 0.589844f, 0.619629f, 0.646973f, 0.673828f, 0.698242f, 0.721191f, 0.742676f, 0.761230f, 0.778809f,
		0.796387f, 0.810547f, 0.824707f, 0.837891f, 0.850098f, 0.861328f, 0.871094f, 0.881348f, 0.889648f, 0.896973f, 0.904785f, 0.912109f,
		0.919434f, 0.924316f, 0.931152f, 0.936523f, 0.941895f, 0.946289f, 0.951172f, 0.955078f, 0.959473f, 0.962402f, 0.965820f, 0.969238f,
		0.972656f, 0.975586f, 0.988770f, 0.989258f, 0.989258f, 0.988770f, 0.987793f, 0.987305f, 0.002836f, 0.009857f, 0.016693f, 0.025208f,
		0.034668f, 0.045288f, 0.057617f, 0.071106f, 0.087463f, 0.104858f, 0.125000f, 0.147461f, 0.172119f, 0.199829f, 0.229248f, 0.260742f,
		0.294434f, 0.329102f, 0.365479f, 0.400879f, 0.437012f, 0.472656f, 0.508301f, 0.541992f, 0.574219f, 0.604980f, 0.634766f, 0.660645f,
		0.686523f, 0.709473f, 0.731445f, 0.751953f, 0.770996f, 0.789062f, 0.804199f, 0.817871f, 0.832520f, 0.844727f, 0.856445f, 0.867188f,
		0.876953f, 0.886719f, 0.895020f, 0.902832f, 0.909668f, 0.916504f, 0.923340f, 0.929688f, 0.935547f, 0.939941f, 0.944824f, 0.949707f,
		0.954102f, 0.958496f, 0.961914f, 0.965820f, 0.969238f, 0.972656f, 0.987793f, 0.988281f, 0.988281f, 0.987793f, 0.986816f, 0.986328f,
		0.002541f, 0.008118f, 0.014244f, 0.021194f, 0.029480f, 0.037811f, 0.048584f, 0.060028f, 0.073242f, 0.088196f, 0.104370f, 0.123047f,
		0.144531f, 0.167114f, 0.193237f, 0.220947f, 0.250977f, 0.282227f, 0.316162f, 0.351074f, 0.386719f, 0.422119f, 0.457520f, 0.492432f,
		0.526367f, 0.559082f, 0.590332f, 0.621094f, 0.648438f, 0.674316f, 0.698730f, 0.721191f, 0.742188f, 0.762207f, 0.780762f, 0.797363f,
		0.812500f, 0.826172f, 0.840332f, 0.852051f, 0.863770f, 0.873535f, 0.883301f, 0.892090f, 0.900391f, 0.908203f, 0.915039f, 0.922363f,
		0.928711f, 0.933594f, 0.939453f, 0.944824f, 0.950195f, 0.953125f, 0.958008f, 0.962402f, 0.965332f, 0.969238f, 0.986816f, 0.987305f,
		0.986816f, 0.986328f, 0.985840f, 0.984863f, 0.002115f, 0.007030f, 0.012138f, 0.017944f, 0.024521f, 0.032318f, 0.040955f, 0.050476f,
		0.061676f, 0.073914f, 0.087769f, 0.103271f, 0.121033f, 0.140747f, 0.162598f, 0.187256f, 0.213379f, 0.242065f, 0.272705f, 0.305176f,
		0.338623f, 0.373047f, 0.408691f, 0.443848f, 0.478760f, 0.512695f, 0.545898f, 0.577637f, 0.607910f, 0.636719f, 0.663086f, 0.688965f,
		0.712402f, 0.734863f, 0.754395f, 0.774414f, 0.791016f, 0.806641f, 0.822266f, 0.835449f, 0.848145f, 0.859863f, 0.870605f, 0.880371f,
		0.890137f, 0.898438f, 0.906250f, 0.914551f, 0.921387f, 0.926758f, 0.933594f, 0.938965f, 0.944336f, 0.949219f, 0.954102f, 0.958984f,
		0.961914f, 0.965820f, 0.985840f, 0.986328f, 0.985840f, 0.985352f, 0.985352f, 0.984375f, 0.001999f, 0.006226f, 0.010384f, 0.015594f,
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		0.740234f, 0.761230f, 0.778809f, 0.797363f, 0.812988f, 0.827148f, 0.840332f, 0.854004f, 0.865723f, 0.875977f, 0.886230f, 0.895020f,
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		0.983398f, 0.982910f, 0.982910f, 0.981934f, 0.001368f, 0.004715f, 0.008041f, 0.011948f, 0.016235f, 0.020889f, 0.025848f, 0.031921f,
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		0.951172f, 0.955078f, 0.980957f, 0.982910f, 0.982422f, 0.982422f, 0.981445f, 0.981445f, 0.001393f, 0.004227f, 0.007011f, 0.010323f,
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		0.770020f, 0.788574f, 0.805176f, 0.821289f, 0.835449f, 0.849609f, 0.862793f, 0.874023f, 0.884277f, 0.894043f, 0.903320f, 0.911621f,
		0.919434f, 0.926758f, 0.933594f, 0.939453f, 0.945312f, 0.951172f, 0.979492f, 0.980957f, 0.980957f, 0.980957f, 0.980469f, 0.979980f,
		0.001163f, 0.003527f, 0.006229f, 0.009323f, 0.012199f, 0.015808f, 0.019928f, 0.024200f, 0.028870f, 0.033997f, 0.040161f, 0.046967f,
		0.054871f, 0.063477f, 0.073181f, 0.083618f, 0.096252f, 0.109863f, 0.125122f, 0.142334f, 0.161743f, 0.182739f, 0.206421f, 0.232300f,
		0.259277f, 0.288086f, 0.320068f, 0.352783f, 0.386475f, 0.420410f, 0.454590f, 0.489258f, 0.521973f, 0.555176f, 0.586914f, 0.617188f,
		0.646484f, 0.673828f, 0.699707f, 0.723633f, 0.746094f, 0.766113f, 0.785645f, 0.803223f, 0.819336f, 0.834961f, 0.848633f, 0.861328f,
		0.873535f, 0.884766f, 0.893555f, 0.903809f, 0.911621f, 0.920410f, 0.928223f, 0.934082f, 0.939941f, 0.946777f, 0.978027f, 0.979492f,
		0.979492f, 0.979004f, 0.979004f, 0.978516f, 0.000981f, 0.002987f, 0.005329f, 0.008186f, 0.010895f, 0.013832f, 0.017532f, 0.021149f,
		0.025253f, 0.029999f, 0.035034f, 0.040985f, 0.047485f, 0.054993f, 0.063049f, 0.072510f, 0.082581f, 0.094421f, 0.107727f, 0.122498f,
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		0.801270f, 0.817871f, 0.833496f, 0.847168f, 0.860840f, 0.872559f, 0.884277f, 0.894531f, 0.904297f, 0.912598f, 0.920898f, 0.928711f,
		0.935547f, 0.942383f, 0.976074f, 0.978027f, 0.978516f, 0.978027f, 0.977539f, 0.977051f, 0.000880f, 0.002707f, 0.005089f, 0.007305f,
		0.010147f, 0.012596f, 0.015160f, 0.018616f, 0.022507f, 0.026230f, 0.030777f, 0.035767f, 0.041351f, 0.047455f, 0.054565f, 0.062256f,
		0.071289f, 0.081299f, 0.092346f, 0.105408f, 0.119812f, 0.135620f, 0.153320f, 0.173462f, 0.195068f, 0.219482f, 0.245361f, 0.273682f,
		0.303711f, 0.335938f, 0.368896f, 0.402588f, 0.437500f, 0.472168f, 0.505859f, 0.539551f, 0.573242f, 0.604492f, 0.634766f, 0.663086f,
		0.689453f, 0.714844f, 0.738770f, 0.760254f, 0.780762f, 0.799316f, 0.817383f, 0.833496f, 0.847168f, 0.860840f, 0.873535f, 0.884766f,
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		0.000851f, 0.002659f, 0.004692f, 0.006466f, 0.008545f, 0.011055f, 0.013649f, 0.016403f, 0.019714f, 0.023056f, 0.026962f, 0.031235f,
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		0.975586f, 0.974609f, 0.974121f, 0.973633f, 0.000762f, 0.002214f, 0.004040f, 0.005859f, 0.007790f, 0.009689f, 0.012161f, 0.014786f,
		0.017441f, 0.020493f, 0.023956f, 0.027618f, 0.031860f, 0.036255f, 0.041595f, 0.047394f, 0.053894f, 0.061188f, 0.069214f, 0.078735f,
		0.089050f, 0.101135f, 0.114441f, 0.129150f, 0.145874f, 0.164673f, 0.185303f, 0.208862f, 0.233765f, 0.260742f, 0.290283f, 0.321045f,
		0.354248f, 0.388184f, 0.422607f, 0.457764f, 0.493652f, 0.526855f, 0.561523f, 0.594238f, 0.625977f, 0.655273f, 0.683594f, 0.710449f,
		0.734863f, 0.758301f, 0.779297f, 0.798828f, 0.817383f, 0.833984f, 0.848145f, 0.862793f, 0.875488f, 0.887207f, 0.899414f, 0.908691f,
		0.917969f, 0.926270f, 0.970215f, 0.972656f, 0.974121f, 0.973145f, 0.972656f, 0.972168f, 0.000732f, 0.001928f, 0.003513f, 0.005234f,
		0.007042f, 0.008629f, 0.010620f, 0.012985f, 0.015244f, 0.018158f, 0.020935f, 0.024475f, 0.027908f, 0.032013f, 0.036316f, 0.041290f,
		0.046661f, 0.053040f, 0.060089f, 0.068115f, 0.077087f, 0.087463f, 0.099121f, 0.111633f, 0.126221f, 0.142578f, 0.160767f, 0.181396f,
		0.203003f, 0.228149f, 0.255127f, 0.284180f, 0.315186f, 0.347900f, 0.381836f, 0.416748f, 0.451904f, 0.487549f, 0.522949f, 0.556641f,
		0.590332f, 0.623047f, 0.652832f, 0.682129f, 0.708984f, 0.733887f, 0.757324f, 0.779785f, 0.799316f, 0.818359f, 0.835449f, 0.850586f,
		0.865234f, 0.877441f, 0.890137f, 0.901367f, 0.912109f, 0.920410f, 0.968262f, 0.970703f, 0.971191f, 0.970703f, 0.971191f, 0.971191f,
		0.000524f, 0.001758f, 0.003185f, 0.004864f, 0.006081f, 0.007820f, 0.009705f, 0.011467f, 0.013634f, 0.016068f, 0.018707f, 0.021378f,
		0.024597f, 0.028030f, 0.032135f, 0.036224f, 0.041016f, 0.046692f, 0.052399f, 0.059265f, 0.067505f, 0.076050f, 0.085510f, 0.096558f,
		0.109253f, 0.123657f, 0.138794f, 0.157227f, 0.176880f, 0.198730f, 0.223267f, 0.250000f, 0.278809f, 0.309326f, 0.342041f, 0.375977f,
		0.410889f, 0.447021f, 0.483154f, 0.518555f, 0.554199f, 0.586914f, 0.620117f, 0.650879f, 0.681641f, 0.708496f, 0.734375f, 0.757324f,
		0.780762f, 0.801270f, 0.819336f, 0.837891f, 0.852539f, 0.867188f, 0.880371f, 0.893066f, 0.903809f, 0.914551f, 0.966309f, 0.968750f,
		0.969238f, 0.969727f, 0.968750f, 0.968750f, 0.000503f, 0.001896f, 0.002653f, 0.004128f, 0.005627f, 0.007004f, 0.008797f, 0.010361f,
		0.012230f, 0.014175f, 0.016647f, 0.019348f, 0.021454f, 0.024872f, 0.028290f, 0.031830f, 0.036163f, 0.040649f, 0.045715f, 0.051941f,
		0.058319f, 0.065979f, 0.074402f, 0.083618f, 0.094360f, 0.106812f, 0.120239f, 0.135742f, 0.153320f, 0.172974f, 0.194824f, 0.218506f,
		0.245117f, 0.273926f, 0.304688f, 0.336426f, 0.371094f, 0.406982f, 0.442627f, 0.479492f, 0.514648f, 0.550781f, 0.584961f, 0.618652f,
		0.650879f, 0.681152f, 0.709473f, 0.735352f, 0.760742f, 0.782715f, 0.803711f, 0.821777f, 0.838867f, 0.855957f, 0.870605f, 0.884277f,
		0.895996f, 0.906738f, 0.964355f, 0.966309f, 0.967285f, 0.966797f, 0.966309f, 0.966309f, 0.000636f, 0.001421f, 0.002768f, 0.003761f,
		0.004944f, 0.006462f, 0.007889f, 0.009262f, 0.010780f, 0.013000f, 0.014946f, 0.017029f, 0.019516f, 0.022049f, 0.024933f, 0.028091f,
		0.031616f, 0.035553f, 0.040161f, 0.045380f, 0.051239f, 0.057281f, 0.064270f, 0.072693f, 0.081970f, 0.092468f, 0.104736f, 0.117859f,
		0.132690f, 0.150391f, 0.169189f, 0.190796f, 0.214233f, 0.240601f, 0.268555f, 0.299561f, 0.332520f, 0.367188f, 0.402344f, 0.438965f,
		0.476074f, 0.512695f, 0.549805f, 0.584473f, 0.619141f, 0.651367f, 0.681152f, 0.709961f, 0.737305f, 0.762695f, 0.785156f, 0.806641f,
		0.826172f, 0.843262f, 0.859375f, 0.874023f, 0.888184f, 0.900391f, 0.961426f, 0.964355f, 0.965332f, 0.964844f, 0.964355f, 0.964844f,
		0.000295f, 0.001419f, 0.002342f, 0.003471f, 0.004539f, 0.005821f, 0.006882f, 0.008354f, 0.010155f, 0.011574f, 0.013283f, 0.015129f,
		0.017090f, 0.019333f, 0.022125f, 0.024643f, 0.028122f, 0.031586f, 0.035522f, 0.039825f, 0.044586f, 0.050110f, 0.056091f, 0.063354f,
		0.071045f, 0.080078f, 0.090637f, 0.102112f, 0.115479f, 0.130127f, 0.147217f, 0.165649f, 0.186768f, 0.210571f, 0.236694f, 0.265137f,
		0.295654f, 0.328857f, 0.363770f, 0.399902f, 0.436523f, 0.474365f, 0.511230f, 0.548828f, 0.584961f, 0.619141f, 0.652344f, 0.684082f,
		0.712891f, 0.741211f, 0.766113f, 0.789062f, 0.810547f, 0.830078f, 0.848633f, 0.864258f, 0.879395f, 0.892578f, 0.958496f, 0.962402f,
		0.962402f, 0.962402f, 0.961914f, 0.962402f, 0.000464f, 0.001313f, 0.002159f, 0.003134f, 0.004463f, 0.005001f, 0.006466f, 0.007595f,
		0.008842f, 0.010277f, 0.011971f, 0.013550f, 0.015434f, 0.017242f, 0.019348f, 0.021805f, 0.024734f, 0.027817f, 0.031174f, 0.034821f,
		0.039124f, 0.043823f, 0.049164f, 0.055237f, 0.062164f, 0.069336f, 0.078430f, 0.088501f, 0.099976f, 0.112854f, 0.127319f, 0.143555f,
		0.162354f, 0.183350f, 0.207031f, 0.233032f, 0.260986f, 0.291992f, 0.325195f, 0.361084f, 0.397217f, 0.435059f, 0.473389f, 0.510742f,
		0.549316f, 0.586426f, 0.620605f, 0.654785f, 0.686523f, 0.716797f, 0.744629f, 0.769043f, 0.793945f, 0.815918f, 0.834961f, 0.852539f,
		0.869141f, 0.884277f, 0.955078f, 0.959473f, 0.959473f, 0.959473f, 0.959961f, 0.959961f, 0.000541f, 0.001223f, 0.002172f, 0.002886f,
		0.003679f, 0.004681f, 0.005512f, 0.006683f, 0.008049f, 0.009346f, 0.010704f, 0.012024f, 0.013626f, 0.015213f, 0.017227f, 0.019516f,
		0.022079f, 0.024612f, 0.027313f, 0.030731f, 0.034180f, 0.038239f, 0.042969f, 0.048187f, 0.053864f, 0.060516f, 0.068298f, 0.076843f,
		0.086670f, 0.097473f, 0.110107f, 0.124268f, 0.140869f, 0.159302f, 0.180420f, 0.203613f, 0.229614f, 0.258057f, 0.289062f, 0.323486f,
		0.358398f, 0.395996f, 0.434082f, 0.472900f, 0.511719f, 0.550293f, 0.587402f, 0.624023f, 0.658203f, 0.690918f, 0.721191f, 0.749512f,
		0.774902f, 0.799316f, 0.821289f, 0.840820f, 0.859375f, 0.875488f, 0.952637f, 0.956543f, 0.957520f, 0.957520f, 0.957520f, 0.957031f,
		0.000252f, 0.001056f, 0.001923f, 0.002523f, 0.003414f, 0.003960f, 0.005146f, 0.006172f, 0.007130f, 0.008179f, 0.009567f, 0.010735f,
		0.012077f, 0.013878f, 0.015640f, 0.017456f, 0.019638f, 0.021622f, 0.024170f, 0.026978f, 0.030121f, 0.033630f, 0.037445f, 0.042053f,
		0.047119f, 0.052826f, 0.059174f, 0.066711f, 0.075012f, 0.084473f, 0.095276f, 0.107727f, 0.122070f, 0.138184f, 0.156250f, 0.177246f,
		0.200928f, 0.226929f, 0.255371f, 0.286865f, 0.321289f, 0.356934f, 0.395264f, 0.434326f, 0.473877f, 0.514160f, 0.553711f, 0.591797f,
		0.628418f, 0.663574f, 0.696777f, 0.728027f, 0.755859f, 0.782715f, 0.806152f, 0.829102f, 0.847656f, 0.867188f, 0.949707f, 0.954102f,
		0.954590f, 0.954590f, 0.954102f, 0.954590f, 0.000365f, 0.000963f, 0.001581f, 0.002337f, 0.002996f, 0.003952f, 0.004608f, 0.005459f,
		0.006489f, 0.007351f, 0.008484f, 0.009544f, 0.011108f, 0.012413f, 0.013901f, 0.015388f, 0.017181f, 0.019012f, 0.021439f, 0.023727f,
		0.026520f, 0.029449f, 0.032898f, 0.036835f, 0.041046f, 0.045868f, 0.051575f, 0.058075f, 0.064758f, 0.073120f, 0.082520f, 0.093079f,
		0.105652f, 0.119385f, 0.135620f, 0.153687f, 0.174683f, 0.198364f, 0.224365f, 0.253662f, 0.285400f, 0.320557f, 0.357178f, 0.395752f,
		0.435791f, 0.476318f, 0.516602f, 0.557129f, 0.596191f, 0.633789f, 0.669434f, 0.703613f, 0.734375f, 0.763672f, 0.790039f, 0.812988f,
		0.836914f, 0.855957f, 0.946289f, 0.949707f, 0.951172f, 0.951172f, 0.951172f, 0.951172f, 0.000404f, 0.001028f, 0.001410f, 0.002098f,
		0.002657f, 0.003445f, 0.004391f, 0.005039f, 0.005665f, 0.006569f, 0.007549f, 0.008614f, 0.009743f, 0.011108f, 0.012390f, 0.013611f,
		0.015396f, 0.017044f, 0.018921f, 0.020874f, 0.023453f, 0.025833f, 0.028809f, 0.032501f, 0.036011f, 0.040161f, 0.044952f, 0.050018f,
		0.056091f, 0.063477f, 0.071533f, 0.080200f, 0.091064f, 0.103027f, 0.117065f, 0.133057f, 0.151489f, 0.171997f, 0.196045f, 0.222290f,
		0.251709f, 0.284424f, 0.319824f, 0.357422f, 0.397217f, 0.438232f, 0.479492f, 0.521484f, 0.562500f, 0.602051f, 0.641113f, 0.677734f,
		0.711914f, 0.743164f, 0.772461f, 0.799316f, 0.822754f, 0.845215f, 0.942383f, 0.946777f, 0.947754f, 0.947754f, 0.948242f, 0.948242f,
		0.000406f, 0.000992f, 0.001447f, 0.001986f, 0.002499f, 0.003149f, 0.003769f, 0.004272f, 0.005016f, 0.005981f, 0.006924f, 0.007675f,
		0.008766f, 0.009727f, 0.010765f, 0.011986f, 0.013588f, 0.014915f, 0.016724f, 0.018478f, 0.020508f, 0.022873f, 0.025497f, 0.028336f,
		0.031525f, 0.034882f, 0.038818f, 0.043243f, 0.048615f, 0.054626f, 0.061707f, 0.069214f, 0.078430f, 0.089111f, 0.101013f, 0.115112f,
		0.130859f, 0.148926f, 0.170166f, 0.193604f, 0.220947f, 0.250732f, 0.283936f, 0.320068f, 0.358887f, 0.400391f, 0.442139f, 0.483887f,
		0.527344f, 0.569824f, 0.610352f, 0.649414f, 0.686523f, 0.722168f, 0.753906f, 0.782227f, 0.809570f, 0.833496f, 0.938477f, 0.942871f,
		0.944824f, 0.944336f, 0.943848f, 0.943848f, 0.000235f, 0.000984f, 0.001204f, 0.001706f, 0.002239f, 0.002998f, 0.003462f, 0.004093f,
		0.004372f, 0.005371f, 0.006149f, 0.006962f, 0.007736f, 0.008766f, 0.009804f, 0.010780f, 0.011887f, 0.013336f, 0.014618f, 0.016159f,
		0.018158f, 0.020050f, 0.022232f, 0.024597f, 0.027313f, 0.030334f, 0.033752f, 0.037872f, 0.042389f, 0.047516f, 0.053192f, 0.059937f,
		0.067749f, 0.076599f, 0.086975f, 0.098755f, 0.112610f, 0.128662f, 0.146973f, 0.168091f, 0.192383f, 0.220215f, 0.250732f, 0.284668f,
		0.322021f, 0.361572f, 0.403564f, 0.446777f, 0.490723f, 0.534668f, 0.577637f, 0.619629f, 0.660156f, 0.697754f, 0.731934f, 0.764648f,
		0.794922f, 0.820312f, 0.934082f, 0.939453f, 0.939941f, 0.941406f, 0.940430f, 0.940918f, 0.000237f, 0.000591f, 0.001098f, 0.001619f,
		0.002241f, 0.002636f, 0.003176f, 0.003521f, 0.004101f, 0.004631f, 0.005398f, 0.006378f, 0.007000f, 0.007767f, 0.008713f, 0.009758f,
		0.010475f, 0.011734f, 0.013016f, 0.014404f, 0.015762f, 0.017517f, 0.019440f, 0.021469f, 0.023651f, 0.026199f, 0.029495f, 0.033112f,
		0.036499f, 0.040955f, 0.045959f, 0.051849f, 0.058197f, 0.065552f, 0.074585f, 0.085022f, 0.096680f, 0.110535f, 0.126709f, 0.145264f,
		0.166626f, 0.191406f, 0.219482f, 0.250488f, 0.286133f, 0.323975f, 0.365723f, 0.408447f, 0.453125f, 0.498779f, 0.542969f, 0.588379f,
		0.631836f, 0.671387f, 0.709473f, 0.745117f, 0.777344f, 0.807617f, 0.930176f, 0.935059f, 0.936523f, 0.936523f, 0.936523f, 0.936035f,
		0.000242f, 0.000761f, 0.000943f, 0.001624f, 0.001858f, 0.002390f, 0.002638f, 0.003054f, 0.003805f, 0.004559f, 0.005035f, 0.005493f,
		0.006157f, 0.006878f, 0.007687f, 0.008530f, 0.009178f, 0.010406f, 0.011406f, 0.012520f, 0.014053f, 0.015579f, 0.017105f, 0.018661f,
		0.020737f, 0.022903f, 0.025650f, 0.028259f, 0.031433f, 0.035065f, 0.039581f, 0.044342f, 0.049988f, 0.056366f, 0.064026f, 0.072632f,
		0.082825f, 0.094666f, 0.108582f, 0.124634f, 0.143799f, 0.165405f, 0.190796f, 0.219360f, 0.251953f, 0.287842f, 0.328125f, 0.370605f,
		0.415283f, 0.461670f, 0.507812f, 0.555176f, 0.600586f, 0.645020f, 0.685547f, 0.724121f, 0.759277f, 0.792969f, 0.924805f, 0.931152f,
		0.931641f, 0.932129f, 0.932129f, 0.931641f, 0.000240f, 0.000685f, 0.000955f, 0.001395f, 0.001768f, 0.002157f, 0.002533f, 0.002970f,
		0.003223f, 0.003813f, 0.004601f, 0.004993f, 0.005428f, 0.005981f, 0.006878f, 0.007484f, 0.008110f, 0.009132f, 0.009964f, 0.011208f,
		0.012138f, 0.013374f, 0.015099f, 0.016190f, 0.018112f, 0.020187f, 0.022202f, 0.024780f, 0.027573f, 0.030411f, 0.034119f, 0.037964f,
		0.042755f, 0.048553f, 0.054474f, 0.061890f, 0.070984f, 0.080688f, 0.092590f, 0.106812f, 0.123291f, 0.142456f, 0.164551f, 0.190430f,
		0.220459f, 0.253418f, 0.291504f, 0.332520f, 0.376709f, 0.423340f, 0.471436f, 0.520508f, 0.567383f, 0.614746f, 0.660156f, 0.702148f,
		0.741211f, 0.776367f, 0.920410f, 0.925293f, 0.926270f, 0.926758f, 0.927246f, 0.926758f, 0.000244f, 0.000431f, 0.000799f, 0.001309f,
		0.001587f, 0.001945f, 0.002317f, 0.002514f, 0.003290f, 0.003548f, 0.004082f, 0.004349f, 0.004707f, 0.005348f, 0.006027f, 0.006565f,
		0.007141f, 0.008011f, 0.008850f, 0.009552f, 0.010757f, 0.011650f, 0.012794f, 0.014145f, 0.015778f, 0.017303f, 0.019028f, 0.021088f,
		0.023575f, 0.026169f, 0.029175f, 0.032562f, 0.036713f, 0.041382f, 0.046448f, 0.052948f, 0.060303f, 0.068787f, 0.079041f, 0.090942f,
		0.105103f, 0.121643f, 0.141113f, 0.164185f, 0.190308f, 0.221191f, 0.256836f, 0.295898f, 0.339355f, 0.385010f, 0.433838f, 0.484619f,
		0.534668f, 0.583496f, 0.631348f, 0.678223f, 0.719727f, 0.759766f, 0.913574f, 0.920410f, 0.921387f, 0.921875f, 0.921875f, 0.921387f,
		0.000243f, 0.000496f, 0.000847f, 0.001157f, 0.001426f, 0.001634f, 0.002020f, 0.002338f, 0.002607f, 0.003035f, 0.003502f, 0.003872f,
		0.004459f, 0.004726f, 0.005402f, 0.005779f, 0.006325f, 0.007095f, 0.007767f, 0.008568f, 0.009331f, 0.010086f, 0.011009f, 0.012314f,
		0.013611f, 0.015060f, 0.016312f, 0.018158f, 0.020401f, 0.022476f, 0.024979f, 0.027863f, 0.031036f, 0.034943f, 0.039581f, 0.044830f,
		0.050903f, 0.058289f, 0.066895f, 0.076782f, 0.088989f, 0.103210f, 0.120422f, 0.140259f, 0.164185f, 0.191772f, 0.223877f, 0.260742f,
		0.301758f, 0.347168f, 0.395508f, 0.446533f, 0.497803f, 0.551270f, 0.601562f, 0.651855f, 0.697754f, 0.741211f, 0.908203f, 0.915039f,
		0.916016f, 0.916016f, 0.916504f, 0.915527f, 0.000239f, 0.000345f, 0.000690f, 0.000913f, 0.001250f, 0.001343f, 0.001579f, 0.002050f,
		0.002331f, 0.002861f, 0.003048f, 0.003616f, 0.003696f, 0.004211f, 0.004723f, 0.005074f, 0.005657f, 0.006100f, 0.006893f, 0.007290f,
		0.008118f, 0.008659f, 0.009552f, 0.010704f, 0.011681f, 0.012764f, 0.014114f, 0.015533f, 0.017227f, 0.018982f, 0.021286f, 0.023560f,
		0.026489f, 0.029861f, 0.033417f, 0.037933f, 0.043121f, 0.049286f, 0.056519f, 0.065002f, 0.075073f, 0.087158f, 0.101624f, 0.118835f,
		0.139648f, 0.164185f, 0.193481f, 0.226929f, 0.265625f, 0.309570f, 0.356934f, 0.408203f, 0.461426f, 0.516113f, 0.569824f, 0.623047f,
		0.674316f, 0.720703f, 0.902344f, 0.908203f, 0.909668f, 0.910645f, 0.910645f, 0.911133f, 0.000000f, 0.000281f, 0.000560f, 0.000977f,
		0.001063f, 0.001171f, 0.001569f, 0.001903f, 0.002075f, 0.002413f, 0.002695f, 0.003004f, 0.003399f, 0.003553f, 0.003998f, 0.004333f,
		0.004971f, 0.005314f, 0.005806f, 0.006340f, 0.007015f, 0.007492f, 0.008377f, 0.009186f, 0.010094f, 0.010910f, 0.012199f, 0.013351f,
		0.014618f, 0.016266f, 0.018082f, 0.019852f, 0.022491f, 0.025085f, 0.028168f, 0.031799f, 0.036041f, 0.041107f, 0.047394f, 0.054321f,
		0.062866f, 0.073181f, 0.085327f, 0.100525f, 0.118408f, 0.139648f, 0.165527f, 0.196411f, 0.231812f, 0.273193f, 0.318848f, 0.369629f,
		0.423828f, 0.480225f, 0.536621f, 0.592773f, 0.647949f, 0.699707f, 0.894043f, 0.900879f, 0.903809f, 0.903320f, 0.903320f, 0.902832f,
		0.000232f, 0.000227f, 0.000555f, 0.000656f, 0.000937f, 0.000985f, 0.001351f, 0.001723f, 0.001925f, 0.002010f, 0.002445f, 0.002625f,
		0.002760f, 0.003220f, 0.003551f, 0.003870f, 0.004303f, 0.004826f, 0.005028f, 0.005451f, 0.005985f, 0.006523f, 0.007000f, 0.007744f,
		0.008499f, 0.009361f, 0.010109f, 0.011185f, 0.012413f, 0.013603f, 0.015121f, 0.016891f, 0.018753f, 0.020920f, 0.023407f, 0.026764f,
		0.030197f, 0.034302f, 0.039429f, 0.044891f, 0.052368f, 0.060822f, 0.071167f, 0.083557f, 0.098877f, 0.117493f, 0.139893f, 0.167725f,
		0.200195f, 0.238037f, 0.281982f, 0.331543f, 0.385010f, 0.442627f, 0.501465f, 0.561523f, 0.620605f, 0.675781f, 0.887207f, 0.894531f,
		0.895020f, 0.896484f, 0.896484f, 0.895996f, 0.000000f, 0.000332f, 0.000577f, 0.000723f, 0.000720f, 0.001210f, 0.001469f, 0.001456f,
		0.001546f, 0.001775f, 0.002159f, 0.002291f, 0.002659f, 0.002916f, 0.003046f, 0.003439f, 0.003752f, 0.003883f, 0.004375f, 0.004635f,
		0.005241f, 0.005638f, 0.006054f, 0.006630f, 0.007191f, 0.007744f, 0.008545f, 0.009178f, 0.010498f, 0.011536f, 0.012802f, 0.013931f,
		0.015808f, 0.017548f, 0.019379f, 0.022110f, 0.025040f, 0.028473f, 0.032471f, 0.037323f, 0.043152f, 0.050476f, 0.058807f, 0.069214f,
		0.082520f, 0.098145f, 0.116821f, 0.141602f, 0.170044f, 0.204834f, 0.245728f, 0.293213f, 0.346436f, 0.403564f, 0.464111f, 0.527832f,
		0.589844f, 0.650879f, 0.878418f, 0.886719f, 0.888184f, 0.887695f, 0.888672f, 0.888672f, 0.000243f, 0.000307f, 0.000526f, 0.000561f,
		0.000923f, 0.000980f, 0.001143f, 0.001386f, 0.001414f, 0.001683f, 0.001735f, 0.001972f, 0.002232f, 0.002481f, 0.002657f, 0.002754f,
		0.003193f, 0.003359f, 0.003603f, 0.003956f, 0.004368f, 0.004692f, 0.005119f, 0.005596f, 0.005955f, 0.006634f, 0.007256f, 0.007881f,
		0.008652f, 0.009552f, 0.010376f, 0.011719f, 0.012634f, 0.014595f, 0.016113f, 0.018219f, 0.020554f, 0.023254f, 0.026520f, 0.030502f,
		0.035553f, 0.041168f, 0.048065f, 0.057190f, 0.067261f, 0.080811f, 0.097107f, 0.117737f, 0.143066f, 0.173950f, 0.211182f, 0.256592f,
		0.307129f, 0.364502f, 0.427002f, 0.491943f, 0.557617f, 0.624023f, 0.869629f, 0.877930f, 0.879883f, 0.879883f, 0.879883f, 0.880371f,
		0.000000f, 0.000270f, 0.000342f, 0.000509f, 0.000668f, 0.000989f, 0.000945f, 0.001105f, 0.001230f, 0.001335f, 0.001492f, 0.001757f,
		0.001917f, 0.002140f, 0.002386f, 0.002501f, 0.002644f, 0.002884f, 0.003199f, 0.003441f, 0.003620f, 0.003891f, 0.004337f, 0.004631f,
		0.005119f, 0.005520f, 0.006100f, 0.006504f, 0.007301f, 0.007771f, 0.008751f, 0.009521f, 0.010658f, 0.011765f, 0.013145f, 0.014641f,
		0.016785f, 0.018829f, 0.021545f, 0.024719f, 0.028381f, 0.033203f, 0.038849f, 0.046112f, 0.055084f, 0.065552f, 0.079529f, 0.096985f,
		0.118530f, 0.145630f, 0.179321f, 0.220337f, 0.269287f, 0.325439f, 0.387207f, 0.454102f, 0.524414f, 0.595215f, 0.859863f, 0.868652f,
		0.870605f, 0.869629f, 0.870117f, 0.870605f, 0.000000f, 0.000230f, 0.000334f, 0.000416f, 0.000700f, 0.000726f, 0.000921f, 0.001008f,
		0.001065f, 0.001186f, 0.001365f, 0.001471f, 0.001627f, 0.001796f, 0.001843f, 0.002069f, 0.002266f, 0.002438f, 0.002596f, 0.002831f,
		0.003000f, 0.003298f, 0.003597f, 0.003887f, 0.004265f, 0.004581f, 0.004986f, 0.005505f, 0.005947f, 0.006454f, 0.007069f, 0.007801f,
		0.008621f, 0.009575f, 0.010612f, 0.011848f, 0.013321f, 0.015259f, 0.017410f, 0.019775f, 0.022934f, 0.026550f, 0.031464f, 0.036713f,
		0.043945f, 0.052887f, 0.064209f, 0.078735f, 0.096924f, 0.120361f, 0.149536f, 0.186768f, 0.232422f, 0.285889f, 0.347656f, 0.415527f,
		0.488281f, 0.563965f, 0.849121f, 0.857910f, 0.859375f, 0.860840f, 0.860840f, 0.860352f, 0.000233f, 0.000225f, 0.000219f, 0.000431f,
		0.000579f, 0.000648f, 0.000671f, 0.000744f, 0.000946f, 0.000994f, 0.001091f, 0.001307f, 0.001364f, 0.001490f, 0.001561f, 0.001712f,
		0.001892f, 0.001999f, 0.002190f, 0.002369f, 0.002512f, 0.002733f, 0.003014f, 0.003145f, 0.003553f, 0.003822f, 0.004135f, 0.004326f,
		0.004799f, 0.005344f, 0.005718f, 0.006378f, 0.007008f, 0.007721f, 0.008400f, 0.009537f, 0.010597f, 0.011917f, 0.013542f, 0.015579f,
		0.018051f, 0.020889f, 0.024765f, 0.029236f, 0.034668f, 0.041779f, 0.051056f, 0.062439f, 0.077576f, 0.097595f, 0.122864f, 0.155273f,
		0.196655f, 0.247437f, 0.307617f, 0.375977f, 0.450684f, 0.531250f, 0.837891f, 0.847168f, 0.848633f, 0.849609f, 0.849121f, 0.849609f,
		0.000202f, 0.000180f, 0.000206f, 0.000339f, 0.000479f, 0.000536f, 0.000687f, 0.000739f, 0.000771f, 0.000849f, 0.001051f, 0.001060f,
		0.001154f, 0.001219f, 0.001389f, 0.001505f, 0.001469f, 0.001729f, 0.001858f, 0.001980f, 0.002209f, 0.002243f, 0.002483f, 0.002695f,
		0.002951f, 0.003149f, 0.003374f, 0.003654f, 0.004002f, 0.004154f, 0.004539f, 0.005032f, 0.005428f, 0.005989f, 0.006760f, 0.007549f,
		0.008423f, 0.009499f, 0.010620f, 0.012016f, 0.013992f, 0.016434f, 0.019135f, 0.022583f, 0.026840f, 0.032501f, 0.039551f, 0.048828f,
		0.061066f, 0.077393f, 0.098755f, 0.127075f, 0.163208f, 0.209717f, 0.267578f, 0.334961f, 0.411133f, 0.494629f, 0.825684f, 0.834473f,
		0.836426f, 0.837402f, 0.837402f, 0.837402f, 0.000000f, 0.000185f, 0.000184f, 0.000404f, 0.000408f, 0.000454f, 0.000480f, 0.000506f,
		0.000660f, 0.000694f, 0.000742f, 0.000801f, 0.000989f, 0.001111f, 0.001167f, 0.001250f, 0.001311f, 0.001424f, 0.001541f, 0.001574f,
		0.001712f, 0.001930f, 0.001982f, 0.002201f, 0.002375f, 0.002439f, 0.002792f, 0.002905f, 0.003065f, 0.003412f, 0.003653f, 0.003952f,
		0.004463f, 0.004723f, 0.005230f, 0.005936f, 0.006386f, 0.007092f, 0.008240f, 0.009247f, 0.010765f, 0.012344f, 0.014420f, 0.017090f,
		0.020493f, 0.024551f, 0.030014f, 0.037689f, 0.047302f, 0.060028f, 0.077820f, 0.100830f, 0.132812f, 0.174561f, 0.228516f, 0.294434f,
		0.371582f, 0.457031f, 0.812012f, 0.820801f, 0.823730f, 0.824219f, 0.824707f, 0.824219f, 0.000000f, 0.000053f, 0.000206f, 0.000360f,
		0.000379f, 0.000391f, 0.000379f, 0.000478f, 0.000549f, 0.000589f, 0.000626f, 0.000674f, 0.000762f, 0.000832f, 0.000894f, 0.001050f,
		0.001111f, 0.001155f, 0.001286f, 0.001345f, 0.001449f, 0.001564f, 0.001666f, 0.001750f, 0.001856f, 0.001925f, 0.002056f, 0.002359f,
		0.002542f, 0.002728f, 0.003042f, 0.003164f, 0.003460f, 0.003786f, 0.004116f, 0.004578f, 0.005116f, 0.005688f, 0.006508f, 0.007229f,
		0.008125f, 0.009232f, 0.010796f, 0.012741f, 0.015137f, 0.018158f, 0.022186f, 0.028030f, 0.035248f, 0.045593f, 0.059052f, 0.078308f,
		0.105042f, 0.141602f, 0.190308f, 0.252930f, 0.329102f, 0.417969f, 0.797852f, 0.807129f, 0.810059f, 0.810547f, 0.811035f, 0.810547f,
		0.000000f, 0.000000f, 0.000082f, 0.000195f, 0.000309f, 0.000336f, 0.000324f, 0.000414f, 0.000439f, 0.000460f, 0.000599f, 0.000643f,
		0.000637f, 0.000690f, 0.000733f, 0.000834f, 0.000821f, 0.000922f, 0.000989f, 0.001067f, 0.001207f, 0.001293f, 0.001327f, 0.001476f,
		0.001581f, 0.001663f, 0.001725f, 0.001906f, 0.001934f, 0.002180f, 0.002258f, 0.002602f, 0.002701f, 0.003019f, 0.003229f, 0.003502f,
		0.003847f, 0.004261f, 0.004795f, 0.005318f, 0.006130f, 0.007008f, 0.008118f, 0.009277f, 0.011024f, 0.013229f, 0.016205f, 0.020203f,
		0.025620f, 0.033020f, 0.043854f, 0.059021f, 0.080383f, 0.111206f, 0.154419f, 0.212646f, 0.287354f, 0.378418f, 0.781250f, 0.792480f,
		0.793457f, 0.795410f, 0.795898f, 0.794922f, 0.000000f, 0.000121f, 0.000120f, 0.000198f, 0.000275f, 0.000249f, 0.000290f, 0.000360f,
		0.000375f, 0.000379f, 0.000391f, 0.000438f, 0.000505f, 0.000534f, 0.000669f, 0.000629f, 0.000659f, 0.000754f, 0.000890f, 0.000833f,
		0.000849f, 0.000975f, 0.001029f, 0.001117f, 0.001193f, 0.001203f, 0.001269f, 0.001424f, 0.001594f, 0.001675f, 0.001737f, 0.001957f,
		0.002094f, 0.002319f, 0.002342f, 0.002609f, 0.002928f, 0.003248f, 0.003523f, 0.003967f, 0.004547f, 0.005138f, 0.005871f, 0.006760f,
		0.007912f, 0.009430f, 0.011528f, 0.014236f, 0.017899f, 0.023346f, 0.031235f, 0.042694f, 0.059235f, 0.084229f, 0.120972f, 0.173950f,
		0.245239f, 0.334473f, 0.764160f, 0.775391f, 0.777344f, 0.778809f, 0.777832f, 0.778809f, 0.000000f, 0.000121f, 0.000119f, 0.000182f,
		0.000177f, 0.000179f, 0.000262f, 0.000239f, 0.000309f, 0.000322f, 0.000404f, 0.000370f, 0.000361f, 0.000430f, 0.000458f, 0.000540f,
		0.000589f, 0.000615f, 0.000648f, 0.000632f, 0.000777f, 0.000782f, 0.000798f, 0.000871f, 0.000857f, 0.000925f, 0.001000f, 0.001045f,
		0.001191f, 0.001223f, 0.001426f, 0.001419f, 0.001512f, 0.001635f, 0.001884f, 0.002092f, 0.002100f, 0.002293f, 0.002577f, 0.003012f,
		0.003258f, 0.003761f, 0.004253f, 0.004814f, 0.005619f, 0.006676f, 0.008064f, 0.009750f, 0.012268f, 0.015854f, 0.021255f, 0.029282f,
		0.041687f, 0.061005f, 0.091370f, 0.136230f, 0.202759f, 0.291504f, 0.746582f, 0.757324f, 0.759277f, 0.760254f, 0.760254f, 0.760254f,
		0.000000f, 0.000000f, 0.000117f, 0.000126f, 0.000113f, 0.000146f, 0.000158f, 0.000155f, 0.000189f, 0.000288f, 0.000254f, 0.000336f,
		0.000347f, 0.000353f, 0.000370f, 0.000355f, 0.000390f, 0.000417f, 0.000456f, 0.000480f, 0.000525f, 0.000587f, 0.000596f, 0.000620f,
		0.000676f, 0.000740f, 0.000758f, 0.000852f, 0.000907f, 0.000947f, 0.001057f, 0.001122f, 0.001170f, 0.001293f, 0.001316f, 0.001437f,
		0.001531f, 0.001813f, 0.001952f, 0.002090f, 0.002346f, 0.002560f, 0.002974f, 0.003334f, 0.003899f, 0.004547f, 0.005360f, 0.006516f,
		0.008179f, 0.010468f, 0.013947f, 0.019241f, 0.027832f, 0.041443f, 0.064941f, 0.102600f, 0.162231f, 0.247437f, 0.726074f, 0.737793f,
		0.739258f, 0.740723f, 0.741211f, 0.741211f, 0.000000f, 0.000118f, 0.000115f, 0.000113f, 0.000110f, 0.000126f, 0.000121f, 0.000139f,
		0.000147f, 0.000160f, 0.000161f, 0.000233f, 0.000199f, 0.000266f, 0.000286f, 0.000297f, 0.000329f, 0.000313f, 0.000347f, 0.000358f,
		0.000364f, 0.000394f, 0.000435f, 0.000446f, 0.000489f, 0.000506f, 0.000546f, 0.000625f, 0.000648f, 0.000674f, 0.000723f, 0.000782f,
		0.000865f, 0.000918f, 0.000979f, 0.001104f, 0.001100f, 0.001196f, 0.001352f, 0.001488f, 0.001586f, 0.001749f, 0.001955f, 0.002275f,
		0.002644f, 0.003054f, 0.003563f, 0.004322f, 0.005314f, 0.006786f, 0.008980f, 0.012115f, 0.017319f, 0.026520f, 0.043121f, 0.072693f,
		0.123535f, 0.203613f, 0.705566f, 0.716797f, 0.719238f, 0.719727f, 0.720703f, 0.721191f, 0.000000f, 0.000000f, 0.000112f, 0.000109f,
		0.000106f, 0.000104f, 0.000102f, 0.000096f, 0.000091f, 0.000113f, 0.000147f, 0.000129f, 0.000155f, 0.000134f, 0.000196f, 0.000205f,
		0.000181f, 0.000239f, 0.000297f, 0.000255f, 0.000317f, 0.000273f, 0.000335f, 0.000299f, 0.000379f, 0.000385f, 0.000398f, 0.000402f,
		0.000473f, 0.000552f, 0.000489f, 0.000543f, 0.000557f, 0.000606f, 0.000662f, 0.000698f, 0.000747f, 0.000810f, 0.000902f, 0.000961f,
		0.001063f, 0.001166f, 0.001312f, 0.001523f, 0.001662f, 0.001908f, 0.002298f, 0.002758f, 0.003365f, 0.004135f, 0.005394f, 0.007290f,
		0.010490f, 0.015991f, 0.026215f, 0.047180f, 0.087646f, 0.160645f, 0.682617f, 0.695801f, 0.697266f, 0.697266f, 0.697266f, 0.698730f,
		0.000000f, 0.000112f, 0.000106f, 0.000104f, 0.000100f, 0.000098f, 0.000095f, 0.000094f, 0.000090f, 0.000085f, 0.000080f, 0.000081f,
		0.000085f, 0.000123f, 0.000123f, 0.000138f, 0.000151f, 0.000158f, 0.000147f, 0.000171f, 0.000183f, 0.000192f, 0.000242f, 0.000215f,
		0.000253f, 0.000256f, 0.000269f, 0.000278f, 0.000293f, 0.000315f, 0.000377f, 0.000357f, 0.000357f, 0.000423f, 0.000479f, 0.000493f,
		0.000489f, 0.000535f, 0.000579f, 0.000628f, 0.000683f, 0.000731f, 0.000833f, 0.000935f, 0.001068f, 0.001200f, 0.001347f, 0.001581f,
		0.001995f, 0.002419f, 0.003109f, 0.004147f, 0.005829f, 0.008919f, 0.014641f, 0.027405f, 0.056885f, 0.119385f, 0.658691f, 0.669922f,
		0.673828f, 0.673828f, 0.675293f, 0.675293f, 0.000000f, 0.000105f, 0.000101f, 0.000096f, 0.000092f, 0.000089f, 0.000087f, 0.000085f,
		0.000083f, 0.000081f, 0.000077f, 0.000073f, 0.000070f, 0.000066f, 0.000080f, 0.000084f, 0.000089f, 0.000068f, 0.000101f, 0.000094f,
		0.000116f, 0.000118f, 0.000125f, 0.000129f, 0.000150f, 0.000168f, 0.000153f, 0.000192f, 0.000195f, 0.000185f, 0.000200f, 0.000217f,
		0.000226f, 0.000247f, 0.000257f, 0.000262f, 0.000319f, 0.000334f, 0.000347f, 0.000376f, 0.000395f, 0.000447f, 0.000504f, 0.000544f,
		0.000590f, 0.000670f, 0.000789f, 0.000887f, 0.001069f, 0.001345f, 0.001670f, 0.002167f, 0.003065f, 0.004562f, 0.007660f, 0.014290f,
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		0.866699f, 0.876953f, 0.886230f, 0.894043f, 0.902832f, 0.910645f, 0.917480f, 0.924316f, 0.930664f, 0.937012f, 0.941895f, 0.947266f,
		0.952148f, 0.957031f, 0.981445f, 0.982422f, 0.981445f, 0.980957f, 0.980469f, 0.979004f, 0.002504f, 0.007004f, 0.012634f, 0.018555f,
		0.024933f, 0.032654f, 0.040283f, 0.048920f, 0.059357f, 0.070007f, 0.082642f, 0.096741f, 0.112122f, 0.128906f, 0.147339f, 0.167603f,
		0.189697f, 0.213257f, 0.238770f, 0.265869f, 0.293701f, 0.323242f, 0.354004f, 0.384766f, 0.415283f, 0.447021f, 0.478516f, 0.507812f,
		0.536621f, 0.565918f, 0.593750f, 0.620605f, 0.645508f, 0.668945f, 0.692383f, 0.712891f, 0.733398f, 0.751465f, 0.769531f, 0.785156f,
		0.801270f, 0.814941f, 0.828125f, 0.841797f, 0.853516f, 0.864746f, 0.874512f, 0.883789f, 0.893555f, 0.900879f, 0.910156f, 0.917480f,
		0.923340f, 0.930664f, 0.936523f, 0.942383f, 0.947754f, 0.952637f, 0.979492f, 0.980469f, 0.980469f, 0.979492f, 0.978516f, 0.978027f,
		0.002039f, 0.006287f, 0.010864f, 0.016129f, 0.021637f, 0.027786f, 0.034485f, 0.042450f, 0.051331f, 0.060760f, 0.071594f, 0.082886f,
		0.096313f, 0.110840f, 0.126587f, 0.145020f, 0.164185f, 0.185181f, 0.207520f, 0.232300f, 0.258301f, 0.285889f, 0.314941f, 0.344238f,
		0.374268f, 0.405029f, 0.436035f, 0.466797f, 0.498291f, 0.527344f, 0.555664f, 0.583984f, 0.611328f, 0.636230f, 0.661133f, 0.684082f,
		0.705566f, 0.726562f, 0.745605f, 0.764648f, 0.781250f, 0.797852f, 0.812500f, 0.825195f, 0.838867f, 0.851074f, 0.862305f, 0.873535f,
		0.883301f, 0.892578f, 0.901367f, 0.908203f, 0.916992f, 0.923828f, 0.931152f, 0.937012f, 0.942383f, 0.947266f, 0.978027f, 0.978516f,
		0.979004f, 0.978027f, 0.977051f, 0.977051f, 0.001762f, 0.005489f, 0.009804f, 0.013931f, 0.019028f, 0.024445f, 0.030518f, 0.036865f,
		0.044189f, 0.052460f, 0.061432f, 0.071960f, 0.083008f, 0.095642f, 0.109558f, 0.124756f, 0.141602f, 0.160156f, 0.180664f, 0.202148f,
		0.225952f, 0.250977f, 0.278076f, 0.305664f, 0.334961f, 0.364990f, 0.394775f, 0.425537f, 0.456543f, 0.487061f, 0.517090f, 0.546387f,
		0.575195f, 0.602539f, 0.627930f, 0.653809f, 0.676758f, 0.699707f, 0.721191f, 0.740723f, 0.759766f, 0.777832f, 0.793945f, 0.809082f,
		0.823242f, 0.836426f, 0.849609f, 0.861328f, 0.872070f, 0.881836f, 0.892578f, 0.900391f, 0.908691f, 0.916992f, 0.924316f, 0.931152f,
		0.937500f, 0.943359f, 0.976074f, 0.977051f, 0.977051f, 0.976562f, 0.976074f, 0.975098f, 0.001675f, 0.005020f, 0.008400f, 0.012253f,
		0.016724f, 0.021469f, 0.026428f, 0.032104f, 0.039062f, 0.045563f, 0.053741f, 0.062103f, 0.072205f, 0.082947f, 0.094666f, 0.107727f,
		0.122681f, 0.139038f, 0.156250f, 0.176514f, 0.197388f, 0.220581f, 0.244629f, 0.270752f, 0.297607f, 0.326172f, 0.355957f, 0.386475f,
		0.416748f, 0.447754f, 0.478027f, 0.507812f, 0.538086f, 0.566406f, 0.594727f, 0.621582f, 0.647461f, 0.671387f, 0.694336f, 0.716797f,
		0.737305f, 0.755859f, 0.773438f, 0.791016f, 0.807129f, 0.820801f, 0.834961f, 0.848145f, 0.860352f, 0.871582f, 0.881836f, 0.891602f,
		0.901367f, 0.909180f, 0.917480f, 0.925293f, 0.932129f, 0.938965f, 0.974609f, 0.975586f, 0.976074f, 0.974609f, 0.974121f, 0.973633f,
		0.001437f, 0.004513f, 0.007427f, 0.010994f, 0.014526f, 0.018829f, 0.023331f, 0.028229f, 0.034058f, 0.040192f, 0.046844f, 0.054321f,
		0.062683f, 0.071716f, 0.082397f, 0.093933f, 0.106567f, 0.120728f, 0.136230f, 0.153320f, 0.172485f, 0.192627f, 0.214233f, 0.237915f,
		0.263672f, 0.290527f, 0.318115f, 0.347412f, 0.377197f, 0.408203f, 0.438477f, 0.469482f, 0.499512f, 0.529785f, 0.558594f, 0.586914f,
		0.614258f, 0.641602f, 0.665527f, 0.689941f, 0.711914f, 0.732422f, 0.752930f, 0.771484f, 0.789062f, 0.805664f, 0.819824f, 0.833984f,
		0.847656f, 0.860840f, 0.871094f, 0.881836f, 0.891602f, 0.902344f, 0.910156f, 0.918457f, 0.926270f, 0.932617f, 0.972168f, 0.973633f,
		0.973633f, 0.973145f, 0.973145f, 0.971680f, 0.001390f, 0.003952f, 0.006779f, 0.009941f, 0.013062f, 0.017029f, 0.020905f, 0.024994f,
		0.029877f, 0.035187f, 0.041077f, 0.047119f, 0.055145f, 0.062500f, 0.071594f, 0.081543f, 0.092712f, 0.104736f, 0.118530f, 0.133179f,
		0.150024f, 0.168091f, 0.187378f, 0.209717f, 0.232178f, 0.256836f, 0.283447f, 0.311279f, 0.339844f, 0.369873f, 0.399658f, 0.429932f,
		0.461426f, 0.492188f, 0.521973f, 0.551758f, 0.580566f, 0.608887f, 0.635254f, 0.660645f, 0.685059f, 0.708008f, 0.729492f, 0.750488f,
		0.769043f, 0.786621f, 0.802734f, 0.818848f, 0.832520f, 0.846680f, 0.860352f, 0.871582f, 0.882324f, 0.892578f, 0.902832f, 0.911133f,
		0.919922f, 0.926758f, 0.970703f, 0.971680f, 0.971680f, 0.971680f, 0.971680f, 0.969238f, 0.001328f, 0.003641f, 0.006138f, 0.008690f,
		0.011444f, 0.014786f, 0.018311f, 0.022125f, 0.026337f, 0.031403f, 0.036011f, 0.041809f, 0.047943f, 0.054901f, 0.062622f, 0.071106f,
		0.081299f, 0.091614f, 0.103455f, 0.116333f, 0.130493f, 0.146484f, 0.164307f, 0.183228f, 0.204224f, 0.226685f, 0.251221f, 0.277100f,
		0.303711f, 0.332764f, 0.361572f, 0.391846f, 0.422852f, 0.454102f, 0.485352f, 0.515625f, 0.545410f, 0.574707f, 0.603027f, 0.630371f,
		0.656250f, 0.681641f, 0.705078f, 0.726562f, 0.747070f, 0.767578f, 0.784668f, 0.803223f, 0.818848f, 0.833008f, 0.847656f, 0.860352f,
		0.872559f, 0.883301f, 0.894043f, 0.903809f, 0.913574f, 0.921387f, 0.967773f, 0.970215f, 0.970215f, 0.968750f, 0.969238f, 0.968750f,
		0.001053f, 0.002905f, 0.005432f, 0.007912f, 0.010658f, 0.012901f, 0.016464f, 0.019363f, 0.023376f, 0.027237f, 0.031799f, 0.036346f,
		0.042145f, 0.048248f, 0.054871f, 0.062256f, 0.070618f, 0.079834f, 0.089844f, 0.101440f, 0.113831f, 0.128174f, 0.143433f, 0.160156f,
		0.179077f, 0.199707f, 0.222046f, 0.245483f, 0.271240f, 0.297363f, 0.325684f, 0.355469f, 0.385254f, 0.416016f, 0.447754f, 0.479004f,
		0.508789f, 0.539551f, 0.570312f, 0.598145f, 0.626465f, 0.652344f, 0.678223f, 0.702148f, 0.725098f, 0.746094f, 0.765625f, 0.785645f,
		0.803223f, 0.819336f, 0.834961f, 0.848145f, 0.861328f, 0.873535f, 0.884766f, 0.895508f, 0.905762f, 0.915527f, 0.965332f, 0.967773f,
		0.968262f, 0.967773f, 0.967285f, 0.966309f, 0.001106f, 0.002684f, 0.004913f, 0.006733f, 0.009300f, 0.011955f, 0.014435f, 0.017700f,
		0.020477f, 0.024124f, 0.028091f, 0.032532f, 0.037231f, 0.042511f, 0.048309f, 0.054596f, 0.061798f, 0.069885f, 0.078857f, 0.089050f,
		0.099915f, 0.112183f, 0.125488f, 0.140503f, 0.157104f, 0.175293f, 0.195068f, 0.216309f, 0.240356f, 0.265381f, 0.291748f, 0.319580f,
		0.348633f, 0.379150f, 0.410156f, 0.441406f, 0.472900f, 0.503418f, 0.534668f, 0.565430f, 0.594727f, 0.622070f, 0.649902f, 0.676270f,
		0.700195f, 0.723633f, 0.746094f, 0.766602f, 0.786133f, 0.802734f, 0.819824f, 0.835449f, 0.849609f, 0.863281f, 0.875977f, 0.887695f,
		0.898438f, 0.908203f, 0.962891f, 0.965820f, 0.966309f, 0.965332f, 0.964844f, 0.964355f, 0.000782f, 0.002707f, 0.004574f, 0.006184f,
		0.008286f, 0.010681f, 0.012878f, 0.015640f, 0.018478f, 0.021912f, 0.025208f, 0.028976f, 0.032867f, 0.037598f, 0.042938f, 0.048370f,
		0.054443f, 0.061432f, 0.069214f, 0.077515f, 0.087402f, 0.098145f, 0.109497f, 0.122803f, 0.137329f, 0.153564f, 0.171509f, 0.190918f,
		0.212158f, 0.235352f, 0.259766f, 0.286133f, 0.314209f, 0.343262f, 0.373535f, 0.404297f, 0.436279f, 0.467773f, 0.499512f, 0.530273f,
		0.561523f, 0.590820f, 0.620117f, 0.647461f, 0.674316f, 0.699219f, 0.722656f, 0.745605f, 0.766602f, 0.785645f, 0.804688f, 0.821777f,
		0.836426f, 0.852051f, 0.865234f, 0.878418f, 0.890625f, 0.901855f, 0.959961f, 0.962891f, 0.963867f, 0.963379f, 0.962402f, 0.962402f,
		0.000787f, 0.002195f, 0.004250f, 0.005775f, 0.007774f, 0.009445f, 0.011795f, 0.013725f, 0.016678f, 0.019531f, 0.022018f, 0.025665f,
		0.029495f, 0.033142f, 0.037598f, 0.042664f, 0.048248f, 0.053772f, 0.060699f, 0.067993f, 0.076416f, 0.085815f, 0.095764f, 0.107422f,
		0.120239f, 0.134277f, 0.150269f, 0.167358f, 0.186646f, 0.207764f, 0.230347f, 0.255127f, 0.281250f, 0.308838f, 0.337891f, 0.368408f,
		0.399414f, 0.431396f, 0.463135f, 0.495605f, 0.526855f, 0.558594f, 0.588379f, 0.618652f, 0.646973f, 0.673828f, 0.699707f, 0.723633f,
		0.746094f, 0.767090f, 0.788086f, 0.806641f, 0.823730f, 0.840332f, 0.854980f, 0.869141f, 0.881836f, 0.893555f, 0.957520f, 0.960938f,
		0.960938f, 0.961426f, 0.960449f, 0.959961f, 0.000765f, 0.002207f, 0.003666f, 0.005177f, 0.006973f, 0.008301f, 0.010704f, 0.012794f,
		0.015015f, 0.017303f, 0.020309f, 0.022568f, 0.026123f, 0.029587f, 0.033325f, 0.037659f, 0.042206f, 0.047516f, 0.053223f, 0.059814f,
		0.067017f, 0.075195f, 0.083801f, 0.094055f, 0.105042f, 0.117737f, 0.131470f, 0.146851f, 0.163940f, 0.182739f, 0.203369f, 0.225952f,
		0.250244f, 0.276367f, 0.304199f, 0.333008f, 0.364258f, 0.395264f, 0.427002f, 0.459961f, 0.491699f, 0.524414f, 0.555664f, 0.586914f,
		0.617676f, 0.645996f, 0.673340f, 0.699707f, 0.724121f, 0.748047f, 0.770020f, 0.790039f, 0.809082f, 0.827148f, 0.842773f, 0.858398f,
		0.873047f, 0.885742f, 0.954102f, 0.958008f, 0.958496f, 0.958496f, 0.958496f, 0.957520f, 0.000586f, 0.001937f, 0.003107f, 0.004745f,
		0.006168f, 0.007610f, 0.009590f, 0.011345f, 0.013321f, 0.015587f, 0.017593f, 0.020294f, 0.023346f, 0.026154f, 0.029205f, 0.033234f,
		0.037415f, 0.041962f, 0.046906f, 0.052673f, 0.058533f, 0.065796f, 0.073669f, 0.082642f, 0.092346f, 0.103027f, 0.115234f, 0.128784f,
		0.143799f, 0.160889f, 0.179199f, 0.199585f, 0.221802f, 0.246094f, 0.271973f, 0.299805f, 0.329102f, 0.359863f, 0.391357f, 0.423340f,
		0.456299f, 0.490234f, 0.522949f, 0.555176f, 0.586426f, 0.617188f, 0.645996f, 0.675293f, 0.701660f, 0.726074f, 0.750488f, 0.773926f,
		0.793945f, 0.812988f, 0.831543f, 0.847656f, 0.862793f, 0.877441f, 0.951660f, 0.955078f, 0.955566f, 0.955566f, 0.955078f, 0.954590f,
		0.000678f, 0.001864f, 0.003138f, 0.004333f, 0.005707f, 0.006893f, 0.008224f, 0.009850f, 0.012215f, 0.013954f, 0.015747f, 0.018219f,
		0.020584f, 0.023148f, 0.026047f, 0.029434f, 0.033020f, 0.037018f, 0.041626f, 0.046509f, 0.051910f, 0.058105f, 0.064636f, 0.072510f,
		0.080750f, 0.090149f, 0.100891f, 0.112549f, 0.126343f, 0.141113f, 0.157593f, 0.175537f, 0.195801f, 0.218018f, 0.242554f, 0.268311f,
		0.295898f, 0.325195f, 0.355713f, 0.388184f, 0.421143f, 0.454834f, 0.488281f, 0.522949f, 0.554199f, 0.587402f, 0.618164f, 0.648438f,
		0.676758f, 0.704102f, 0.730957f, 0.754395f, 0.776855f, 0.798340f, 0.817871f, 0.836426f, 0.852051f, 0.868164f, 0.948242f, 0.952637f,
		0.953125f, 0.952637f, 0.952148f, 0.951660f, 0.000470f, 0.001578f, 0.002934f, 0.003838f, 0.005032f, 0.006310f, 0.007725f, 0.008972f,
		0.010826f, 0.012657f, 0.014359f, 0.015991f, 0.018402f, 0.020721f, 0.023102f, 0.026230f, 0.029495f, 0.032867f, 0.036743f, 0.040680f,
		0.045654f, 0.050812f, 0.056763f, 0.063477f, 0.071045f, 0.078918f, 0.088440f, 0.098938f, 0.110657f, 0.123535f, 0.138062f, 0.154175f,
		0.172363f, 0.192627f, 0.214478f, 0.238770f, 0.264404f, 0.292236f, 0.322266f, 0.353271f, 0.385742f, 0.419189f, 0.453857f, 0.487549f,
		0.521484f, 0.555664f, 0.588867f, 0.621094f, 0.651367f, 0.680176f, 0.708008f, 0.733887f, 0.759766f, 0.780762f, 0.802734f, 0.821289f,
		0.840820f, 0.858398f, 0.943848f, 0.949219f, 0.949707f, 0.949707f, 0.949707f, 0.949219f, 0.000485f, 0.001689f, 0.002386f, 0.003698f,
		0.004547f, 0.005936f, 0.006851f, 0.008217f, 0.009834f, 0.011055f, 0.012810f, 0.014473f, 0.016449f, 0.018509f, 0.020950f, 0.023209f,
		0.025940f, 0.029114f, 0.032410f, 0.036133f, 0.040161f, 0.044861f, 0.050018f, 0.055664f, 0.061859f, 0.069153f, 0.077515f, 0.086365f,
		0.096680f, 0.108093f, 0.120605f, 0.135132f, 0.151489f, 0.169556f, 0.189209f, 0.211426f, 0.235352f, 0.261475f, 0.289307f, 0.319580f,
		0.351074f, 0.384521f, 0.418701f, 0.452881f, 0.487549f, 0.522461f, 0.556641f, 0.591309f, 0.623535f, 0.653809f, 0.684570f, 0.712891f,
		0.739258f, 0.764160f, 0.787109f, 0.809570f, 0.829102f, 0.847168f, 0.940918f, 0.945801f, 0.946289f, 0.946777f, 0.946777f, 0.945312f,
		0.000620f, 0.001351f, 0.002413f, 0.003273f, 0.004307f, 0.004971f, 0.006138f, 0.007542f, 0.008835f, 0.009972f, 0.011581f, 0.013069f,
		0.014717f, 0.016495f, 0.018738f, 0.020691f, 0.023315f, 0.025879f, 0.028793f, 0.031860f, 0.035309f, 0.039246f, 0.043762f, 0.048950f,
		0.054474f, 0.060669f, 0.067932f, 0.075378f, 0.084351f, 0.094055f, 0.105774f, 0.118469f, 0.132690f, 0.148315f, 0.166504f, 0.186401f,
		0.208130f, 0.232544f, 0.258789f, 0.287109f, 0.317627f, 0.349854f, 0.383057f, 0.417725f, 0.453125f, 0.488770f, 0.523926f, 0.559082f,
		0.594238f, 0.627441f, 0.659180f, 0.689941f, 0.719238f, 0.745117f, 0.770508f, 0.794434f, 0.815430f, 0.836914f, 0.936523f, 0.941895f,
		0.942871f, 0.942871f, 0.942871f, 0.942383f, 0.000404f, 0.001095f, 0.002087f, 0.002983f, 0.003986f, 0.004673f, 0.005844f, 0.006878f,
		0.007740f, 0.008873f, 0.010323f, 0.011757f, 0.013176f, 0.014915f, 0.016586f, 0.018585f, 0.020523f, 0.022720f, 0.025391f, 0.028244f,
		0.031219f, 0.034821f, 0.038788f, 0.042908f, 0.047943f, 0.053040f, 0.058960f, 0.066162f, 0.073547f, 0.082397f, 0.092285f, 0.102844f,
		0.115234f, 0.129883f, 0.146118f, 0.163452f, 0.183350f, 0.205688f, 0.229614f, 0.256592f, 0.285156f, 0.316162f, 0.348633f, 0.383057f,
		0.418457f, 0.454590f, 0.490967f, 0.526855f, 0.563477f, 0.598633f, 0.632812f, 0.665527f, 0.696777f, 0.726074f, 0.752930f, 0.779297f,
		0.803223f, 0.825684f, 0.933105f, 0.938477f, 0.938477f, 0.938965f, 0.938477f, 0.938477f, 0.000415f, 0.000864f, 0.001907f, 0.002775f,
		0.003519f, 0.004204f, 0.005352f, 0.006237f, 0.007019f, 0.008064f, 0.009239f, 0.010483f, 0.011742f, 0.013130f, 0.014877f, 0.016571f,
		0.018494f, 0.020126f, 0.022537f, 0.024826f, 0.027649f, 0.030701f, 0.033875f, 0.037964f, 0.042114f, 0.046356f, 0.051605f, 0.057587f,
		0.064209f, 0.071777f, 0.080261f, 0.089722f, 0.100952f, 0.113220f, 0.127075f, 0.143066f, 0.160767f, 0.180664f, 0.202759f, 0.227417f,
		0.254395f, 0.284180f, 0.315674f, 0.348633f, 0.383789f, 0.420166f, 0.457275f, 0.494385f, 0.531250f, 0.569336f, 0.605469f, 0.639160f,
		0.672363f, 0.705078f, 0.735352f, 0.762207f, 0.788574f, 0.811523f, 0.928711f, 0.934082f, 0.934570f, 0.935059f, 0.935059f, 0.935059f,
		0.000236f, 0.001136f, 0.001664f, 0.002502f, 0.003187f, 0.004082f, 0.004631f, 0.005386f, 0.006275f, 0.007385f, 0.008217f, 0.009453f,
		0.010567f, 0.011787f, 0.013115f, 0.014420f, 0.016083f, 0.017944f, 0.019867f, 0.022079f, 0.024414f, 0.026962f, 0.029755f, 0.033112f,
		0.036926f, 0.040771f, 0.045258f, 0.050232f, 0.056183f, 0.062500f, 0.069946f, 0.078430f, 0.087708f, 0.098389f, 0.110779f, 0.124634f,
		0.140259f, 0.158203f, 0.178223f, 0.200928f, 0.225708f, 0.253174f, 0.282715f, 0.315430f, 0.349365f, 0.385254f, 0.422363f, 0.460938f,
		0.499023f, 0.537109f, 0.574707f, 0.612305f, 0.646484f, 0.682129f, 0.713867f, 0.745117f, 0.772461f, 0.799316f, 0.923828f, 0.930176f,
		0.930664f, 0.931152f, 0.930664f, 0.930664f, 0.000229f, 0.000964f, 0.001582f, 0.002182f, 0.002838f, 0.003653f, 0.004341f, 0.004921f,
		0.005615f, 0.006626f, 0.007423f, 0.008545f, 0.009483f, 0.010666f, 0.011612f, 0.013000f, 0.014275f, 0.015900f, 0.017487f, 0.019333f,
		0.021484f, 0.023773f, 0.026276f, 0.028992f, 0.032135f, 0.035492f, 0.039398f, 0.044037f, 0.049072f, 0.054443f, 0.061035f, 0.067871f,
		0.076111f, 0.085632f, 0.096252f, 0.108154f, 0.122253f, 0.138306f, 0.156006f, 0.175903f, 0.199219f, 0.224243f, 0.251953f, 0.282715f,
		0.315918f, 0.350830f, 0.387451f, 0.425781f, 0.465332f, 0.504395f, 0.544434f, 0.583008f, 0.620117f, 0.657715f, 0.692383f, 0.725098f,
		0.755371f, 0.783691f, 0.919434f, 0.925781f, 0.926270f, 0.926758f, 0.926758f, 0.925781f, 0.000410f, 0.000856f, 0.001542f, 0.001844f,
		0.002565f, 0.003380f, 0.003971f, 0.004246f, 0.005047f, 0.005863f, 0.006653f, 0.007744f, 0.008568f, 0.009407f, 0.010529f, 0.011482f,
		0.012657f, 0.013924f, 0.015602f, 0.017105f, 0.018997f, 0.020859f, 0.022980f, 0.025192f, 0.028030f, 0.031036f, 0.034515f, 0.038300f,
		0.042236f, 0.047180f, 0.052795f, 0.059113f, 0.065857f, 0.074097f, 0.083374f, 0.094360f, 0.105896f, 0.119873f, 0.135620f, 0.154175f,
		0.174072f, 0.197632f, 0.223267f, 0.251465f, 0.283447f, 0.317139f, 0.353760f, 0.391113f, 0.431152f, 0.470703f, 0.512207f, 0.552734f,
		0.592285f, 0.631348f, 0.669434f, 0.704590f, 0.737793f, 0.768555f, 0.913574f, 0.919922f, 0.920898f, 0.920898f, 0.921387f, 0.921387f,
		0.000214f, 0.000619f, 0.001172f, 0.001941f, 0.002228f, 0.002960f, 0.003490f, 0.003994f, 0.004761f, 0.005180f, 0.005806f, 0.006622f,
		0.007565f, 0.008301f, 0.009262f, 0.010170f, 0.011208f, 0.012482f, 0.013855f, 0.015060f, 0.016739f, 0.018311f, 0.020248f, 0.022034f,
		0.024597f, 0.027084f, 0.030045f, 0.033051f, 0.036743f, 0.041016f, 0.045807f, 0.050964f, 0.056946f, 0.063904f, 0.071899f, 0.080994f,
		0.091675f, 0.103699f, 0.117920f, 0.133667f, 0.151978f, 0.172729f, 0.196533f, 0.222534f, 0.252197f, 0.284424f, 0.319580f, 0.356689f,
		0.396973f, 0.437500f, 0.479492f, 0.521484f, 0.562500f, 0.604004f, 0.644043f, 0.682129f, 0.718262f, 0.751465f, 0.907715f, 0.915039f,
		0.916016f, 0.916504f, 0.916504f, 0.916504f, 0.000405f, 0.000760f, 0.001116f, 0.001688f, 0.002180f, 0.002670f, 0.003313f, 0.003569f,
		0.003979f, 0.004543f, 0.005466f, 0.005985f, 0.006699f, 0.007359f, 0.008102f, 0.009094f, 0.009949f, 0.011055f, 0.012047f, 0.013412f,
		0.014488f, 0.016068f, 0.017532f, 0.019348f, 0.021210f, 0.023834f, 0.025986f, 0.028854f, 0.031891f, 0.035339f, 0.039490f, 0.043976f,
		0.049347f, 0.055084f, 0.061951f, 0.069763f, 0.078918f, 0.089478f, 0.101379f, 0.115479f, 0.131592f, 0.150024f, 0.171387f, 0.195068f,
		0.222900f, 0.252686f, 0.286621f, 0.323242f, 0.362061f, 0.402588f, 0.445312f, 0.488770f, 0.532715f, 0.575684f, 0.618652f, 0.659180f,
		0.698242f, 0.734375f, 0.901367f, 0.909180f, 0.911133f, 0.910645f, 0.911133f, 0.910645f, 0.000218f, 0.000539f, 0.001187f, 0.001617f,
		0.001987f, 0.002316f, 0.002666f, 0.003176f, 0.003841f, 0.004425f, 0.004917f, 0.005402f, 0.005768f, 0.006462f, 0.007233f, 0.008018f,
		0.008575f, 0.009758f, 0.010582f, 0.011520f, 0.012756f, 0.013832f, 0.015312f, 0.016968f, 0.018509f, 0.020279f, 0.022644f, 0.024857f,
		0.027740f, 0.030472f, 0.033783f, 0.037567f, 0.042175f, 0.047150f, 0.052979f, 0.059601f, 0.067505f, 0.076538f, 0.087158f, 0.099243f,
		0.113281f, 0.129272f, 0.148315f, 0.170532f, 0.194702f, 0.223267f, 0.254639f, 0.289795f, 0.327393f, 0.368408f, 0.410889f, 0.455322f,
		0.499756f, 0.544434f, 0.590332f, 0.633789f, 0.676270f, 0.716309f, 0.895508f, 0.902344f, 0.903809f, 0.905762f, 0.903809f, 0.904297f,
		0.000184f, 0.000612f, 0.001122f, 0.001464f, 0.001848f, 0.002150f, 0.002514f, 0.002651f, 0.003391f, 0.003666f, 0.004368f, 0.004677f,
		0.005219f, 0.005882f, 0.006531f, 0.007019f, 0.007675f, 0.008530f, 0.009224f, 0.010269f, 0.011017f, 0.012146f, 0.013321f, 0.014626f,
		0.016098f, 0.017639f, 0.019440f, 0.021317f, 0.023773f, 0.026123f, 0.029144f, 0.032410f, 0.036072f, 0.040314f, 0.045013f, 0.051086f,
		0.057587f, 0.065308f, 0.074402f, 0.084961f, 0.097107f, 0.111267f, 0.127930f, 0.147217f, 0.169556f, 0.195312f, 0.224365f, 0.257568f,
		0.294189f, 0.333496f, 0.375977f, 0.420166f, 0.467041f, 0.514160f, 0.561035f, 0.607422f, 0.652344f, 0.695312f, 0.888672f, 0.896484f,
		0.897461f, 0.897461f, 0.897949f, 0.897949f, 0.000159f, 0.000537f, 0.000830f, 0.001206f, 0.001578f, 0.001760f, 0.002050f, 0.002504f,
		0.002951f, 0.003397f, 0.003674f, 0.004238f, 0.004520f, 0.005245f, 0.005692f, 0.006138f, 0.006748f, 0.007240f, 0.008087f, 0.008728f,
		0.009636f, 0.010437f, 0.011543f, 0.012611f, 0.013763f, 0.015266f, 0.016617f, 0.018433f, 0.020248f, 0.022354f, 0.024887f, 0.027390f,
		0.030716f, 0.034454f, 0.038422f, 0.043365f, 0.048950f, 0.055511f, 0.062988f, 0.072021f, 0.082336f, 0.094727f, 0.109375f, 0.125977f,
		0.145874f, 0.169556f, 0.195679f, 0.226929f, 0.260986f, 0.299805f, 0.341309f, 0.385498f, 0.432129f, 0.480957f, 0.529297f, 0.579102f,
		0.627441f, 0.673828f, 0.881348f, 0.889160f, 0.890625f, 0.891113f, 0.891602f, 0.891113f, 0.000204f, 0.000566f, 0.000741f, 0.001033f,
		0.001378f, 0.001599f, 0.001961f, 0.002354f, 0.002609f, 0.002974f, 0.003300f, 0.003609f, 0.004101f, 0.004463f, 0.004906f, 0.005337f,
		0.006020f, 0.006290f, 0.007023f, 0.007656f, 0.008301f, 0.009140f, 0.009918f, 0.010933f, 0.011940f, 0.013107f, 0.014252f, 0.015656f,
		0.017136f, 0.019058f, 0.021057f, 0.023209f, 0.025940f, 0.029190f, 0.032715f, 0.036591f, 0.041138f, 0.046661f, 0.053253f, 0.060944f,
		0.069702f, 0.080444f, 0.092651f, 0.107788f, 0.124695f, 0.145630f, 0.169189f, 0.197632f, 0.229736f, 0.266113f, 0.306396f, 0.350586f,
		0.397217f, 0.447021f, 0.497803f, 0.549805f, 0.600586f, 0.650391f, 0.872559f, 0.881836f, 0.882812f, 0.883301f, 0.884277f, 0.884277f,
		0.000240f, 0.000349f, 0.000795f, 0.000892f, 0.001151f, 0.001377f, 0.001773f, 0.001984f, 0.002415f, 0.002602f, 0.002932f, 0.003168f,
		0.003483f, 0.003906f, 0.004257f, 0.004681f, 0.005173f, 0.005596f, 0.006119f, 0.006550f, 0.007126f, 0.007759f, 0.008522f, 0.009270f,
		0.010086f, 0.011108f, 0.012138f, 0.013199f, 0.014549f, 0.015884f, 0.017776f, 0.019623f, 0.022003f, 0.024384f, 0.027237f, 0.030624f,
		0.034515f, 0.039215f, 0.044342f, 0.050873f, 0.058411f, 0.067017f, 0.078003f, 0.090332f, 0.105530f, 0.123718f, 0.144775f, 0.170410f,
		0.200195f, 0.234131f, 0.272461f, 0.315674f, 0.362305f, 0.412354f, 0.465332f, 0.518555f, 0.572754f, 0.626465f, 0.863770f, 0.873047f,
		0.875488f, 0.875488f, 0.875977f, 0.875977f, 0.000102f, 0.000298f, 0.000604f, 0.000950f, 0.001089f, 0.001472f, 0.001760f, 0.001823f,
		0.001903f, 0.002325f, 0.002611f, 0.002775f, 0.003185f, 0.003405f, 0.003674f, 0.004005f, 0.004406f, 0.004814f, 0.005203f, 0.005665f,
		0.006062f, 0.006702f, 0.007317f, 0.007881f, 0.008560f, 0.009239f, 0.010193f, 0.010994f, 0.012161f, 0.013588f, 0.015068f, 0.016479f,
		0.018250f, 0.020386f, 0.022781f, 0.025665f, 0.028809f, 0.032501f, 0.037048f, 0.042297f, 0.048553f, 0.055908f, 0.065491f, 0.075378f,
		0.088501f, 0.104248f, 0.122742f, 0.145874f, 0.171997f, 0.203247f, 0.239990f, 0.281250f, 0.326904f, 0.376953f, 0.430176f, 0.486328f,
		0.542480f, 0.600586f, 0.855469f, 0.864746f, 0.866211f, 0.867188f, 0.867188f, 0.867188f, 0.000000f, 0.000357f, 0.000576f, 0.000692f,
		0.001013f, 0.001069f, 0.001383f, 0.001702f, 0.001789f, 0.002102f, 0.002182f, 0.002377f, 0.002686f, 0.002985f, 0.003347f, 0.003359f,
		0.003782f, 0.004036f, 0.004436f, 0.004749f, 0.005169f, 0.005672f, 0.006145f, 0.006649f, 0.007187f, 0.007828f, 0.008644f, 0.009529f,
		0.010269f, 0.011200f, 0.012337f, 0.013596f, 0.015038f, 0.017044f, 0.018784f, 0.021011f, 0.023727f, 0.026871f, 0.030457f, 0.034637f,
		0.039978f, 0.046478f, 0.053436f, 0.062622f, 0.073730f, 0.086792f, 0.102661f, 0.122437f, 0.146240f, 0.174561f, 0.208252f, 0.247437f,
		0.291748f, 0.341064f, 0.395020f, 0.451904f, 0.511230f, 0.571777f, 0.844238f, 0.854980f, 0.857422f, 0.858887f, 0.857910f, 0.857910f,
		0.000101f, 0.000326f, 0.000535f, 0.000683f, 0.000848f, 0.001161f, 0.001184f, 0.001284f, 0.001576f, 0.001701f, 0.001839f, 0.002167f,
		0.002321f, 0.002584f, 0.002645f, 0.002941f, 0.003141f, 0.003538f, 0.003817f, 0.004112f, 0.004395f, 0.004646f, 0.005165f, 0.005531f,
		0.006096f, 0.006496f, 0.007217f, 0.007767f, 0.008629f, 0.009163f, 0.010239f, 0.011276f, 0.012611f, 0.013779f, 0.015213f, 0.017120f,
		0.019379f, 0.021606f, 0.024994f, 0.028351f, 0.032379f, 0.037201f, 0.043640f, 0.050903f, 0.060120f, 0.071045f, 0.084900f, 0.101868f,
		0.122559f, 0.147827f, 0.178223f, 0.214722f, 0.257080f, 0.305664f, 0.358887f, 0.416992f, 0.478027f, 0.542969f, 0.834473f, 0.845215f,
		0.847656f, 0.847656f, 0.847656f, 0.848633f, 0.000092f, 0.000316f, 0.000410f, 0.000556f, 0.000808f, 0.000918f, 0.001094f, 0.001287f,
		0.001309f, 0.001411f, 0.001671f, 0.001780f, 0.001909f, 0.002092f, 0.002274f, 0.002523f, 0.002733f, 0.002974f, 0.003101f, 0.003401f,
		0.003677f, 0.003956f, 0.004311f, 0.004551f, 0.004940f, 0.005444f, 0.005768f, 0.006451f, 0.006977f, 0.007568f, 0.008270f, 0.009201f,
		0.010170f, 0.011230f, 0.012566f, 0.013939f, 0.015503f, 0.017761f, 0.020111f, 0.022873f, 0.025940f, 0.029938f, 0.035217f, 0.040985f,
		0.048431f, 0.057770f, 0.069092f, 0.083618f, 0.100891f, 0.123047f, 0.150146f, 0.183838f, 0.223633f, 0.269531f, 0.322510f, 0.381348f,
		0.444824f, 0.511719f, 0.823730f, 0.834473f, 0.835938f, 0.836914f, 0.836914f, 0.837402f, 0.000240f, 0.000273f, 0.000326f, 0.000564f,
		0.000682f, 0.000807f, 0.000854f, 0.000949f, 0.001139f, 0.001238f, 0.001404f, 0.001548f, 0.001637f, 0.001840f, 0.001893f, 0.002077f,
		0.002321f, 0.002434f, 0.002642f, 0.002821f, 0.003044f, 0.003271f, 0.003649f, 0.003763f, 0.004208f, 0.004448f, 0.004986f, 0.005169f,
		0.005657f, 0.006279f, 0.006680f, 0.007442f, 0.008194f, 0.008881f, 0.009895f, 0.010918f, 0.012138f, 0.013924f, 0.015915f, 0.018112f,
		0.020645f, 0.023743f, 0.027817f, 0.032745f, 0.038361f, 0.045990f, 0.055481f, 0.066895f, 0.082031f, 0.100769f, 0.124573f, 0.154541f,
		0.190796f, 0.235107f, 0.286133f, 0.344238f, 0.408936f, 0.478271f, 0.810547f, 0.822266f, 0.824707f, 0.825195f, 0.825684f, 0.825684f,
		0.000115f, 0.000222f, 0.000252f, 0.000524f, 0.000574f, 0.000673f, 0.000869f, 0.000928f, 0.000963f, 0.001022f, 0.001246f, 0.001292f,
		0.001404f, 0.001477f, 0.001652f, 0.001811f, 0.001822f, 0.002058f, 0.002237f, 0.002371f, 0.002588f, 0.002645f, 0.003019f, 0.003080f,
		0.003506f, 0.003689f, 0.003904f, 0.004383f, 0.004707f, 0.005020f, 0.005386f, 0.006023f, 0.006451f, 0.007038f, 0.007809f, 0.008911f,
		0.009949f, 0.011200f, 0.012222f, 0.014137f, 0.016068f, 0.018692f, 0.021683f, 0.025314f, 0.029861f, 0.035889f, 0.043335f, 0.052582f,
		0.065186f, 0.080627f, 0.101501f, 0.127441f, 0.159912f, 0.200806f, 0.250000f, 0.307129f, 0.371582f, 0.444580f, 0.798340f, 0.809570f,
		0.811523f, 0.812988f, 0.812988f, 0.812988f, 0.000000f, 0.000211f, 0.000204f, 0.000474f, 0.000555f, 0.000583f, 0.000600f, 0.000593f,
		0.000812f, 0.000865f, 0.000941f, 0.001013f, 0.001162f, 0.001348f, 0.001418f, 0.001465f, 0.001616f, 0.001722f, 0.001856f, 0.001888f,
		0.002048f, 0.002321f, 0.002396f, 0.002632f, 0.002821f, 0.002974f, 0.003265f, 0.003477f, 0.003632f, 0.004051f, 0.004299f, 0.004700f,
		0.005238f, 0.005592f, 0.006199f, 0.006756f, 0.007614f, 0.008324f, 0.009727f, 0.010811f, 0.012337f, 0.014168f, 0.016434f, 0.019257f,
		0.022858f, 0.027451f, 0.033295f, 0.040619f, 0.050690f, 0.063416f, 0.080261f, 0.102295f, 0.131104f, 0.168335f, 0.214355f, 0.270508f,
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		0.548828f, 0.577148f, 0.603516f, 0.627441f, 0.650879f, 0.672363f, 0.693848f, 0.712402f, 0.729980f, 0.748535f, 0.762207f, 0.778809f,
		0.791504f, 0.804199f, 0.815918f, 0.827637f, 0.838867f, 0.848145f, 0.857910f, 0.866211f, 0.875977f, 0.883301f, 0.891602f, 0.898438f,
		0.905273f, 0.911133f, 0.917480f, 0.923340f, 0.928711f, 0.933594f, 0.938477f, 0.942871f, 0.948242f, 0.952637f, 0.956543f, 0.960449f,
		0.964355f, 0.968262f, 0.971191f, 0.974609f, 0.978027f, 0.980957f, 0.990723f, 0.989258f, 0.987793f, 0.985840f, 0.984375f, 0.983398f,
		0.009758f, 0.030121f, 0.052490f, 0.077576f, 0.104309f, 0.134277f, 0.164917f, 0.197510f, 0.231812f, 0.266113f, 0.301025f, 0.336426f,
		0.372070f, 0.405762f, 0.438721f, 0.471436f, 0.502441f, 0.531738f, 0.560059f, 0.587402f, 0.612793f, 0.634766f, 0.658691f, 0.679199f,
		0.699219f, 0.718262f, 0.735352f, 0.751953f, 0.767090f, 0.780762f, 0.794922f, 0.808105f, 0.820801f, 0.831055f, 0.842285f, 0.851562f,
		0.861328f, 0.870117f, 0.878906f, 0.886719f, 0.893555f, 0.900879f, 0.907715f, 0.913574f, 0.919434f, 0.926270f, 0.932129f, 0.936523f,
		0.941895f, 0.945801f, 0.951172f, 0.955078f, 0.959473f, 0.963867f, 0.966797f, 0.970703f, 0.974121f, 0.977539f, 0.989746f, 0.988281f,
		0.986328f, 0.984863f, 0.983398f, 0.982422f, 0.007744f, 0.024567f, 0.043365f, 0.063782f, 0.086487f, 0.111389f, 0.137451f, 0.166260f,
		0.195435f, 0.226929f, 0.259033f, 0.291748f, 0.324951f, 0.358398f, 0.391113f, 0.424316f, 0.456299f, 0.486328f, 0.516113f, 0.543945f,
		0.571289f, 0.597656f, 0.621094f, 0.644531f, 0.666504f, 0.686523f, 0.705078f, 0.724121f, 0.741211f, 0.757324f, 0.773438f, 0.786621f,
		0.801270f, 0.812988f, 0.823730f, 0.835938f, 0.846191f, 0.855957f, 0.865723f, 0.873047f, 0.882324f, 0.889648f, 0.897949f, 0.905762f,
		0.911133f, 0.917969f, 0.923828f, 0.929199f, 0.934082f, 0.940430f, 0.944824f, 0.949707f, 0.954102f, 0.958008f, 0.962891f, 0.966309f,
		0.970215f, 0.974121f, 0.987793f, 0.986816f, 0.985352f, 0.983887f, 0.981934f, 0.980469f, 0.006672f, 0.020828f, 0.035950f, 0.053345f,
		0.071594f, 0.092834f, 0.114624f, 0.139282f, 0.165649f, 0.192627f, 0.222290f, 0.252197f, 0.283203f, 0.314941f, 0.346680f, 0.377930f,
		0.409668f, 0.441650f, 0.471680f, 0.500977f, 0.529297f, 0.557129f, 0.583008f, 0.607422f, 0.630859f, 0.654297f, 0.674805f, 0.694824f,
		0.713867f, 0.731445f, 0.748535f, 0.763672f, 0.778320f, 0.791992f, 0.805664f, 0.817871f, 0.829590f, 0.840332f, 0.850098f, 0.860352f,
		0.869141f, 0.878906f, 0.886719f, 0.894043f, 0.901855f, 0.909180f, 0.915527f, 0.920898f, 0.927246f, 0.933105f, 0.938477f, 0.943848f,
		0.948730f, 0.953125f, 0.957520f, 0.961914f, 0.965820f, 0.970215f, 0.985840f, 0.985352f, 0.983887f, 0.981934f, 0.980957f, 0.979492f,
		0.005592f, 0.017181f, 0.030457f, 0.044739f, 0.060638f, 0.077454f, 0.097046f, 0.117981f, 0.140625f, 0.164673f, 0.190552f, 0.217896f,
		0.246582f, 0.275635f, 0.305176f, 0.336426f, 0.366943f, 0.397949f, 0.428711f, 0.457764f, 0.487061f, 0.515137f, 0.542480f, 0.568848f,
		0.593750f, 0.619141f, 0.641602f, 0.662598f, 0.683594f, 0.703613f, 0.721191f, 0.738281f, 0.755859f, 0.770996f, 0.784180f, 0.799316f,
		0.811035f, 0.823730f, 0.833984f, 0.845703f, 0.855957f, 0.865234f, 0.875000f, 0.883301f, 0.891602f, 0.898926f, 0.906738f, 0.912598f,
		0.919922f, 0.926270f, 0.931152f, 0.937988f, 0.942871f, 0.948242f, 0.952148f, 0.957520f, 0.961914f, 0.966309f, 0.984375f, 0.983398f,
		0.982422f, 0.981445f, 0.979492f, 0.978027f, 0.004829f, 0.014816f, 0.025711f, 0.037964f, 0.051300f, 0.065796f, 0.082458f, 0.100037f,
		0.120178f, 0.141357f, 0.163330f, 0.187622f, 0.213013f, 0.240601f, 0.268311f, 0.296387f, 0.325928f, 0.356445f, 0.385742f, 0.415771f,
		0.445557f, 0.474121f, 0.501465f, 0.530762f, 0.556152f, 0.581543f, 0.606445f, 0.630859f, 0.651855f, 0.672852f, 0.693359f, 0.712402f,
		0.730469f, 0.746582f, 0.762695f, 0.777832f, 0.791992f, 0.806152f, 0.818359f, 0.830566f, 0.840820f, 0.852051f, 0.862305f, 0.871094f,
		0.880371f, 0.888184f, 0.896484f, 0.904297f, 0.910645f, 0.917969f, 0.924316f, 0.931152f, 0.936035f, 0.942383f, 0.947266f, 0.951660f,
		0.957031f, 0.960938f, 0.982422f, 0.982422f, 0.981445f, 0.979492f, 0.978516f, 0.977051f, 0.004040f, 0.012436f, 0.022064f, 0.032440f,
		0.044006f, 0.056549f, 0.070068f, 0.085999f, 0.102539f, 0.120239f, 0.140625f, 0.161621f, 0.184448f, 0.208496f, 0.234253f, 0.260742f,
		0.288086f, 0.316406f, 0.345215f, 0.374512f, 0.404297f, 0.433350f, 0.462402f, 0.490234f, 0.518066f, 0.543945f, 0.570312f, 0.594727f,
		0.618652f, 0.642090f, 0.663086f, 0.683594f, 0.703613f, 0.721680f, 0.739258f, 0.755859f, 0.772461f, 0.786621f, 0.798828f, 0.812500f,
		0.825195f, 0.836914f, 0.848633f, 0.858887f, 0.869141f, 0.877441f, 0.886230f, 0.894531f, 0.902832f, 0.909668f, 0.916992f, 0.923340f,
		0.929688f, 0.935547f, 0.941406f, 0.947266f, 0.951660f, 0.957031f, 0.980469f, 0.980469f, 0.979492f, 0.978516f, 0.977051f, 0.976074f,
		0.003536f, 0.010872f, 0.018829f, 0.027893f, 0.037872f, 0.048492f, 0.060883f, 0.073425f, 0.088074f, 0.103638f, 0.120789f, 0.139038f,
		0.159912f, 0.181274f, 0.204102f, 0.227905f, 0.253906f, 0.280518f, 0.307861f, 0.335938f, 0.364746f, 0.393311f, 0.421631f, 0.451416f,
		0.479004f, 0.505859f, 0.533203f, 0.560059f, 0.584473f, 0.608398f, 0.631836f, 0.653320f, 0.674805f, 0.695801f, 0.714355f, 0.731934f,
		0.749512f, 0.765137f, 0.781250f, 0.794434f, 0.808594f, 0.821289f, 0.833496f, 0.844238f, 0.855469f, 0.866211f, 0.875000f, 0.883789f,
		0.892578f, 0.901855f, 0.908691f, 0.915527f, 0.922852f, 0.929199f, 0.935059f, 0.941406f, 0.947266f, 0.951172f, 0.978516f, 0.979004f,
		0.978027f, 0.977051f, 0.975586f, 0.974121f, 0.002989f, 0.009476f, 0.016785f, 0.024246f, 0.032745f, 0.041809f, 0.052246f, 0.063782f,
		0.076111f, 0.089722f, 0.104675f, 0.120605f, 0.138306f, 0.157959f, 0.178101f, 0.200073f, 0.223145f, 0.247192f, 0.273193f, 0.300293f,
		0.327148f, 0.354736f, 0.383545f, 0.411621f, 0.439941f, 0.468018f, 0.495605f, 0.522949f, 0.548828f, 0.574219f, 0.598145f, 0.622559f,
		0.645508f, 0.666016f, 0.687500f, 0.706543f, 0.725586f, 0.743164f, 0.759766f, 0.775391f, 0.791016f, 0.803711f, 0.817871f, 0.829590f,
		0.841797f, 0.852539f, 0.863281f, 0.873047f, 0.882812f, 0.891113f, 0.900391f, 0.906738f, 0.915039f, 0.922852f, 0.929688f, 0.936035f,
		0.941895f, 0.946777f, 0.976074f, 0.977051f, 0.976074f, 0.975586f, 0.974121f, 0.972656f, 0.002846f, 0.008568f, 0.014557f, 0.021484f,
		0.028442f, 0.036377f, 0.045074f, 0.055054f, 0.066101f, 0.077759f, 0.090759f, 0.104797f, 0.120483f, 0.136719f, 0.155029f, 0.175171f,
		0.196045f, 0.218262f, 0.241943f, 0.266357f, 0.292480f, 0.319336f, 0.345703f, 0.373535f, 0.402100f, 0.429932f, 0.457764f, 0.484863f,
		0.512207f, 0.539062f, 0.564941f, 0.589844f, 0.613281f, 0.636719f, 0.659180f, 0.680664f, 0.700684f, 0.718750f, 0.736816f, 0.754883f,
		0.770508f, 0.785645f, 0.799805f, 0.813965f, 0.826172f, 0.838867f, 0.850586f, 0.861328f, 0.871582f, 0.881836f, 0.890625f, 0.898926f,
		0.906738f, 0.915039f, 0.922363f, 0.928711f, 0.936035f, 0.941895f, 0.974609f, 0.975098f, 0.974609f, 0.973633f, 0.972656f, 0.971191f,
		0.002285f, 0.007290f, 0.012634f, 0.018280f, 0.024918f, 0.032074f, 0.039673f, 0.048157f, 0.057220f, 0.067810f, 0.078735f, 0.091248f,
		0.104370f, 0.119873f, 0.135742f, 0.152344f, 0.171631f, 0.191650f, 0.213501f, 0.236206f, 0.260010f, 0.285156f, 0.310547f, 0.338135f,
		0.364746f, 0.392578f, 0.420410f, 0.448242f, 0.476562f, 0.502441f, 0.529785f, 0.555664f, 0.581543f, 0.605469f, 0.629395f, 0.652344f,
		0.673340f, 0.693848f, 0.713867f, 0.732910f, 0.750000f, 0.767090f, 0.782715f, 0.797852f, 0.811035f, 0.825195f, 0.836914f, 0.848633f,
		0.860840f, 0.870605f, 0.880371f, 0.890137f, 0.898926f, 0.907227f, 0.915527f, 0.923340f, 0.929688f, 0.936523f, 0.972168f, 0.973145f,
		0.972656f, 0.972168f, 0.970703f, 0.969727f, 0.002064f, 0.006584f, 0.011154f, 0.016266f, 0.022263f, 0.028397f, 0.034973f, 0.042145f,
		0.050232f, 0.059235f, 0.069031f, 0.079346f, 0.091736f, 0.104553f, 0.118652f, 0.133789f, 0.150635f, 0.168457f, 0.188110f, 0.208984f,
		0.230225f, 0.253906f, 0.278076f, 0.303955f, 0.329346f, 0.356689f, 0.384033f, 0.411865f, 0.439941f, 0.467285f, 0.493896f, 0.520996f,
		0.547363f, 0.573730f, 0.597168f, 0.622559f, 0.645508f, 0.667969f, 0.688965f, 0.709473f, 0.728027f, 0.746094f, 0.762695f, 0.778809f,
		0.794922f, 0.809082f, 0.822754f, 0.834961f, 0.847168f, 0.858887f, 0.870117f, 0.880371f, 0.889648f, 0.898926f, 0.907227f, 0.915039f,
		0.923828f, 0.930176f, 0.970215f, 0.971680f, 0.970215f, 0.970215f, 0.968750f, 0.968262f, 0.001935f, 0.005634f, 0.010078f, 0.014389f,
		0.019669f, 0.024658f, 0.030716f, 0.037201f, 0.044098f, 0.051941f, 0.060333f, 0.070129f, 0.080383f, 0.091370f, 0.103638f, 0.116943f,
		0.131714f, 0.148193f, 0.165161f, 0.183838f, 0.203979f, 0.225220f, 0.247803f, 0.271240f, 0.296631f, 0.322510f, 0.349121f, 0.376221f,
		0.403076f, 0.431152f, 0.458984f, 0.485596f, 0.513672f, 0.540039f, 0.564941f, 0.590820f, 0.616211f, 0.638672f, 0.662109f, 0.683105f,
		0.704102f, 0.723633f, 0.741699f, 0.759766f, 0.776855f, 0.792480f, 0.807617f, 0.821777f, 0.833496f, 0.847168f, 0.858887f, 0.870117f,
		0.880859f, 0.889648f, 0.899414f, 0.908203f, 0.916992f, 0.924316f, 0.967285f, 0.968262f, 0.968750f, 0.968262f, 0.967285f, 0.966309f,
		0.001805f, 0.005119f, 0.009079f, 0.013023f, 0.017487f, 0.022278f, 0.027130f, 0.032684f, 0.038666f, 0.045959f, 0.052826f, 0.061401f,
		0.070801f, 0.080139f, 0.090698f, 0.102844f, 0.115845f, 0.130005f, 0.145264f, 0.162476f, 0.180176f, 0.199951f, 0.220459f, 0.242188f,
		0.265869f, 0.290283f, 0.315430f, 0.341309f, 0.368652f, 0.395752f, 0.423584f, 0.451416f, 0.479248f, 0.505859f, 0.532227f, 0.559082f,
		0.584961f, 0.609863f, 0.634277f, 0.656738f, 0.678711f, 0.700195f, 0.720703f, 0.738281f, 0.757324f, 0.774414f, 0.790527f, 0.805664f,
		0.820312f, 0.834473f, 0.846680f, 0.858887f, 0.869629f, 0.880859f, 0.890625f, 0.899902f, 0.909668f, 0.917969f, 0.964844f, 0.966797f,
		0.967285f, 0.965820f, 0.964844f, 0.963867f, 0.001437f, 0.004662f, 0.007919f, 0.011681f, 0.015404f, 0.019272f, 0.024261f, 0.029205f,
		0.034515f, 0.040619f, 0.046967f, 0.054138f, 0.061737f, 0.070496f, 0.080200f, 0.090271f, 0.101807f, 0.114136f, 0.127686f, 0.143188f,
		0.159058f, 0.176514f, 0.195190f, 0.215454f, 0.237305f, 0.260010f, 0.283936f, 0.309326f, 0.334717f, 0.361328f, 0.389160f, 0.416260f,
		0.444336f, 0.471436f, 0.499512f, 0.525879f, 0.552734f, 0.579590f, 0.604004f, 0.628906f, 0.651855f, 0.674805f, 0.696777f, 0.717773f,
		0.737305f, 0.755859f, 0.772949f, 0.789551f, 0.805664f, 0.819336f, 0.833984f, 0.847168f, 0.859375f, 0.871094f, 0.881836f, 0.892090f,
		0.902344f, 0.910156f, 0.962402f, 0.964355f, 0.964355f, 0.963867f, 0.962891f, 0.961914f, 0.001264f, 0.004036f, 0.007088f, 0.010170f,
		0.013672f, 0.017365f, 0.021423f, 0.025955f, 0.030533f, 0.035614f, 0.041321f, 0.047791f, 0.054626f, 0.062195f, 0.070679f, 0.080017f,
		0.089600f, 0.100769f, 0.112854f, 0.125977f, 0.139893f, 0.156128f, 0.172852f, 0.191650f, 0.211060f, 0.232056f, 0.254883f, 0.278076f,
		0.302979f, 0.328125f, 0.355225f, 0.381836f, 0.409912f, 0.437256f, 0.464844f, 0.492676f, 0.520508f, 0.547852f, 0.573242f, 0.599609f,
		0.625000f, 0.649414f, 0.672363f, 0.694336f, 0.714844f, 0.734863f, 0.753418f, 0.771484f, 0.788574f, 0.804688f, 0.820312f, 0.833496f,
		0.847656f, 0.859863f, 0.873047f, 0.883301f, 0.894043f, 0.903809f, 0.959961f, 0.961914f, 0.962402f, 0.960938f, 0.960449f, 0.959961f,
		0.001297f, 0.003721f, 0.006397f, 0.009308f, 0.012260f, 0.015808f, 0.019302f, 0.023010f, 0.027267f, 0.032013f, 0.037109f, 0.042419f,
		0.048523f, 0.054962f, 0.061920f, 0.070435f, 0.079407f, 0.088318f, 0.099121f, 0.111084f, 0.124023f, 0.137695f, 0.152832f, 0.169434f,
		0.187378f, 0.206421f, 0.227783f, 0.249268f, 0.272461f, 0.297363f, 0.322754f, 0.348389f, 0.376221f, 0.403809f, 0.431396f, 0.459229f,
		0.487305f, 0.515137f, 0.542480f, 0.569336f, 0.595215f, 0.621094f, 0.645996f, 0.669434f, 0.691406f, 0.712891f, 0.733887f, 0.753418f,
		0.770996f, 0.789062f, 0.805176f, 0.820801f, 0.835449f, 0.849121f, 0.861328f, 0.874512f, 0.885742f, 0.895508f, 0.956543f, 0.959473f,
		0.958984f, 0.958984f, 0.958008f, 0.957031f, 0.001267f, 0.003481f, 0.005955f, 0.008568f, 0.011185f, 0.014030f, 0.017151f, 0.020294f,
		0.024246f, 0.028427f, 0.032654f, 0.037476f, 0.042603f, 0.048523f, 0.054871f, 0.062408f, 0.070129f, 0.078552f, 0.087769f, 0.097534f,
		0.109192f, 0.121399f, 0.135010f, 0.150513f, 0.165894f, 0.183960f, 0.202881f, 0.222656f, 0.244385f, 0.267334f, 0.291260f, 0.317139f,
		0.343506f, 0.370605f, 0.397949f, 0.426025f, 0.454346f, 0.482666f, 0.511230f, 0.538086f, 0.565918f, 0.592285f, 0.618164f, 0.642578f,
		0.667480f, 0.690918f, 0.711914f, 0.732910f, 0.752930f, 0.771484f, 0.790039f, 0.806641f, 0.821777f, 0.837402f, 0.850586f, 0.864746f,
		0.875977f, 0.887695f, 0.953613f, 0.956543f, 0.957031f, 0.956055f, 0.956055f, 0.955078f, 0.001068f, 0.003025f, 0.005283f, 0.007442f,
		0.009857f, 0.012665f, 0.015930f, 0.018570f, 0.021820f, 0.025314f, 0.028931f, 0.033325f, 0.038147f, 0.042908f, 0.049011f, 0.055176f,
		0.061859f, 0.069397f, 0.077637f, 0.086792f, 0.096252f, 0.107117f, 0.119385f, 0.132690f, 0.147095f, 0.162720f, 0.180054f, 0.198486f,
		0.218384f, 0.239990f, 0.262207f, 0.287109f, 0.311523f, 0.337891f, 0.364990f, 0.392822f, 0.420654f, 0.449219f, 0.478027f, 0.505859f,
		0.535156f, 0.562012f, 0.588867f, 0.615723f, 0.641602f, 0.666016f, 0.688965f, 0.711914f, 0.732910f, 0.753906f, 0.773438f, 0.791016f,
		0.808594f, 0.823730f, 0.839355f, 0.854004f, 0.867188f, 0.879883f, 0.950195f, 0.954102f, 0.954102f, 0.953125f, 0.952637f, 0.952148f,
		0.000884f, 0.003082f, 0.004631f, 0.006931f, 0.008942f, 0.011513f, 0.013779f, 0.016663f, 0.019806f, 0.022934f, 0.026215f, 0.029999f,
		0.033813f, 0.038544f, 0.043365f, 0.048615f, 0.054352f, 0.061005f, 0.068420f, 0.076477f, 0.085022f, 0.095032f, 0.105469f, 0.117432f,
		0.130127f, 0.143799f, 0.159790f, 0.176270f, 0.194580f, 0.214478f, 0.235229f, 0.257568f, 0.281982f, 0.306641f, 0.332764f, 0.359863f,
		0.388184f, 0.416016f, 0.445557f, 0.474854f, 0.502441f, 0.531738f, 0.559570f, 0.586914f, 0.614258f, 0.640625f, 0.665039f, 0.689453f,
		0.712891f, 0.734863f, 0.755371f, 0.774902f, 0.793945f, 0.810547f, 0.827637f, 0.842773f, 0.857910f, 0.871094f, 0.946777f, 0.950684f,
		0.951172f, 0.950684f, 0.949707f, 0.949707f, 0.000848f, 0.002630f, 0.004330f, 0.006386f, 0.008148f, 0.010437f, 0.012436f, 0.014977f,
		0.017731f, 0.020645f, 0.023529f, 0.026413f, 0.030289f, 0.034302f, 0.038391f, 0.043365f, 0.048737f, 0.054413f, 0.060455f, 0.067383f,
		0.075134f, 0.083801f, 0.093262f, 0.103821f, 0.114746f, 0.127441f, 0.140991f, 0.156372f, 0.172729f, 0.190918f, 0.210449f, 0.231201f,
		0.253662f, 0.277344f, 0.302734f, 0.328857f, 0.355225f, 0.384033f, 0.413086f, 0.440918f, 0.471191f, 0.500488f, 0.529785f, 0.558594f,
		0.586426f, 0.613770f, 0.640137f, 0.666016f, 0.689453f, 0.714355f, 0.736328f, 0.757812f, 0.777832f, 0.796875f, 0.813965f, 0.831543f,
		0.847168f, 0.860840f, 0.943848f, 0.948242f, 0.947754f, 0.948242f, 0.946777f, 0.946777f, 0.000747f, 0.002462f, 0.004192f, 0.005573f,
		0.007454f, 0.009430f, 0.011253f, 0.013588f, 0.015762f, 0.018112f, 0.020859f, 0.023758f, 0.027084f, 0.030426f, 0.034332f, 0.038635f,
		0.042999f, 0.048340f, 0.053772f, 0.060028f, 0.066589f, 0.074402f, 0.082764f, 0.091553f, 0.101685f, 0.112854f, 0.125122f, 0.138184f,
		0.153320f, 0.169556f, 0.187500f, 0.206543f, 0.227539f, 0.249512f, 0.273193f, 0.298340f, 0.324463f, 0.351562f, 0.379883f, 0.409424f,
		0.438477f, 0.468750f, 0.498047f, 0.527832f, 0.556641f, 0.585449f, 0.614258f, 0.641113f, 0.666992f, 0.692383f, 0.716309f, 0.738281f,
		0.760742f, 0.780273f, 0.799805f, 0.818848f, 0.834473f, 0.851074f, 0.939941f, 0.944824f, 0.944336f, 0.944336f, 0.944336f, 0.943359f,
		0.000670f, 0.002079f, 0.003538f, 0.005146f, 0.006508f, 0.008247f, 0.010223f, 0.012260f, 0.014153f, 0.016479f, 0.018677f, 0.021515f,
		0.024323f, 0.027313f, 0.030518f, 0.034302f, 0.038422f, 0.042725f, 0.047760f, 0.053101f, 0.059113f, 0.065613f, 0.072937f, 0.080444f,
		0.089722f, 0.099426f, 0.110596f, 0.122314f, 0.135742f, 0.150513f, 0.166260f, 0.183716f, 0.202759f, 0.223633f, 0.245728f, 0.269287f,
		0.294189f, 0.320557f, 0.348633f, 0.376709f, 0.406494f, 0.436523f, 0.467285f, 0.497070f, 0.528320f, 0.557129f, 0.586426f, 0.614746f,
		0.642090f, 0.668945f, 0.694824f, 0.718750f, 0.742676f, 0.764648f, 0.786133f, 0.805176f, 0.823242f, 0.840820f, 0.936035f, 0.940918f,
		0.941406f, 0.941406f, 0.940430f, 0.939941f, 0.000645f, 0.001963f, 0.003384f, 0.004719f, 0.006042f, 0.007614f, 0.009384f, 0.011192f,
		0.012665f, 0.015083f, 0.016861f, 0.019165f, 0.021393f, 0.024445f, 0.027451f, 0.030716f, 0.034149f, 0.038116f, 0.042389f, 0.047028f,
		0.052277f, 0.058014f, 0.064270f, 0.071289f, 0.079041f, 0.087830f, 0.097351f, 0.108337f, 0.119995f, 0.132812f, 0.147217f, 0.163452f,
		0.180420f, 0.199585f, 0.219849f, 0.242065f, 0.265625f, 0.291260f, 0.318115f, 0.345703f, 0.375000f, 0.404541f, 0.434326f, 0.465820f,
		0.496582f, 0.526855f, 0.557617f, 0.587402f, 0.616699f, 0.645508f, 0.672363f, 0.698242f, 0.723145f, 0.747559f, 0.770020f, 0.791504f,
		0.810059f, 0.828613f, 0.931641f, 0.937012f, 0.937500f, 0.937500f, 0.937012f, 0.936523f, 0.000692f, 0.001705f, 0.003000f, 0.004238f,
		0.005798f, 0.006805f, 0.008659f, 0.009933f, 0.011681f, 0.013191f, 0.015259f, 0.017166f, 0.019379f, 0.021729f, 0.024796f, 0.027328f,
		0.030380f, 0.033661f, 0.037598f, 0.041718f, 0.046539f, 0.051270f, 0.056946f, 0.062988f, 0.069885f, 0.077271f, 0.085999f, 0.095398f,
		0.105652f, 0.117859f, 0.129883f, 0.144409f, 0.159912f, 0.177002f, 0.196045f, 0.216553f, 0.239014f, 0.262451f, 0.288086f, 0.314941f,
		0.343262f, 0.372314f, 0.403076f, 0.433594f, 0.465332f, 0.496826f, 0.527832f, 0.559082f, 0.589355f, 0.619629f, 0.648926f, 0.676758f,
		0.703125f, 0.728516f, 0.752930f, 0.775391f, 0.797363f, 0.817871f, 0.927246f, 0.933105f, 0.934082f, 0.933594f, 0.933594f, 0.933105f,
		0.000460f, 0.001622f, 0.002705f, 0.003983f, 0.004925f, 0.006363f, 0.007652f, 0.008965f, 0.010521f, 0.011963f, 0.013664f, 0.015480f,
		0.017258f, 0.019440f, 0.021912f, 0.024338f, 0.027084f, 0.030212f, 0.033356f, 0.037018f, 0.040833f, 0.045380f, 0.050110f, 0.055573f,
		0.061829f, 0.068359f, 0.075928f, 0.083984f, 0.093140f, 0.103333f, 0.115112f, 0.127441f, 0.141602f, 0.156982f, 0.174316f, 0.192871f,
		0.213257f, 0.235596f, 0.259766f, 0.285400f, 0.312256f, 0.341797f, 0.371094f, 0.402100f, 0.434082f, 0.465332f, 0.497314f, 0.529297f,
		0.562012f, 0.592773f, 0.623535f, 0.652832f, 0.681641f, 0.709473f, 0.735352f, 0.759766f, 0.783203f, 0.803711f, 0.922363f, 0.929199f,
		0.929688f, 0.929199f, 0.929688f, 0.928711f, 0.000341f, 0.001686f, 0.002537f, 0.003769f, 0.004745f, 0.005764f, 0.007034f, 0.008286f,
		0.009369f, 0.010742f, 0.012161f, 0.013931f, 0.015671f, 0.017563f, 0.019440f, 0.021851f, 0.024231f, 0.026672f, 0.029556f, 0.032776f,
		0.036255f, 0.040283f, 0.044464f, 0.049194f, 0.054413f, 0.060059f, 0.066589f, 0.074036f, 0.081909f, 0.091187f, 0.100769f, 0.112000f,
		0.124512f, 0.139038f, 0.154297f, 0.171265f, 0.189819f, 0.210571f, 0.232788f, 0.257324f, 0.283203f, 0.311035f, 0.339844f, 0.370850f,
		0.402100f, 0.433838f, 0.466797f, 0.499268f, 0.532227f, 0.565430f, 0.598145f, 0.628418f, 0.659180f, 0.687988f, 0.715820f, 0.742188f,
		0.767090f, 0.791504f, 0.917969f, 0.924805f, 0.925293f, 0.925293f, 0.924805f, 0.924805f, 0.000405f, 0.001282f, 0.002298f, 0.003269f,
		0.004448f, 0.005043f, 0.006294f, 0.007233f, 0.008606f, 0.009727f, 0.010849f, 0.012421f, 0.013885f, 0.015465f, 0.017426f, 0.019394f,
		0.021667f, 0.023819f, 0.026154f, 0.029175f, 0.032227f, 0.035706f, 0.039062f, 0.043427f, 0.047913f, 0.052856f, 0.058502f, 0.064880f,
		0.071960f, 0.079895f, 0.088867f, 0.098633f, 0.109619f, 0.122192f, 0.135742f, 0.151489f, 0.168457f, 0.187134f, 0.207764f, 0.230835f,
		0.254883f, 0.281494f, 0.310059f, 0.339355f, 0.370361f, 0.402588f, 0.435547f, 0.468994f, 0.502930f, 0.537109f, 0.569824f, 0.602051f,
		0.634766f, 0.665527f, 0.695801f, 0.724121f, 0.750488f, 0.776855f, 0.912598f, 0.919434f, 0.920410f, 0.920410f, 0.919922f, 0.920410f,
		0.000529f, 0.001217f, 0.002171f, 0.003035f, 0.003790f, 0.004784f, 0.005711f, 0.006756f, 0.007782f, 0.008987f, 0.009773f, 0.011185f,
		0.012650f, 0.013771f, 0.015656f, 0.017181f, 0.018890f, 0.021057f, 0.023239f, 0.025848f, 0.028488f, 0.031525f, 0.034607f, 0.038147f,
		0.042023f, 0.046539f, 0.051605f, 0.056793f, 0.063049f, 0.069946f, 0.078064f, 0.086548f, 0.096313f, 0.107117f, 0.119446f, 0.133301f,
		0.148560f, 0.165405f, 0.184570f, 0.205811f, 0.228394f, 0.253174f, 0.280029f, 0.308594f, 0.339111f, 0.370605f, 0.404053f, 0.437988f,
		0.471680f, 0.506348f, 0.541504f, 0.576172f, 0.609375f, 0.642578f, 0.674316f, 0.705078f, 0.734375f, 0.761719f, 0.907227f, 0.914062f,
		0.915527f, 0.915527f, 0.916016f, 0.915039f, 0.000402f, 0.001247f, 0.001841f, 0.002651f, 0.003414f, 0.004200f, 0.005337f, 0.005821f,
		0.006733f, 0.008041f, 0.008942f, 0.010201f, 0.011261f, 0.012749f, 0.013893f, 0.015472f, 0.016663f, 0.018829f, 0.020615f, 0.022873f,
		0.025299f, 0.027893f, 0.030533f, 0.033600f, 0.037140f, 0.040924f, 0.044983f, 0.049927f, 0.055359f, 0.061340f, 0.068176f, 0.075500f,
		0.084106f, 0.093933f, 0.104370f, 0.116638f, 0.130249f, 0.145996f, 0.162842f, 0.181885f, 0.203735f, 0.226562f, 0.251465f, 0.279297f,
		0.308594f, 0.339355f, 0.373047f, 0.406982f, 0.440918f, 0.477051f, 0.511719f, 0.548340f, 0.583496f, 0.618164f, 0.652344f, 0.684570f,
		0.715332f, 0.745605f, 0.901855f, 0.909180f, 0.910156f, 0.910645f, 0.910156f, 0.910156f, 0.000371f, 0.001090f, 0.001752f, 0.002409f,
		0.003042f, 0.003963f, 0.004898f, 0.005295f, 0.006077f, 0.006992f, 0.008102f, 0.009338f, 0.010101f, 0.011078f, 0.012375f, 0.013718f,
		0.015099f, 0.016403f, 0.018402f, 0.020203f, 0.022354f, 0.024475f, 0.026825f, 0.029388f, 0.032623f, 0.035522f, 0.039429f, 0.043762f,
		0.048462f, 0.053558f, 0.059265f, 0.065552f, 0.073120f, 0.081787f, 0.091431f, 0.102112f, 0.114136f, 0.127930f, 0.143066f, 0.160767f,
		0.179810f, 0.200928f, 0.224854f, 0.250732f, 0.279053f, 0.308838f, 0.340820f, 0.374756f, 0.410156f, 0.446045f, 0.482666f, 0.520020f,
		0.556152f, 0.593262f, 0.628906f, 0.663574f, 0.695801f, 0.728027f, 0.895508f, 0.903809f, 0.904297f, 0.904297f, 0.904297f, 0.904785f,
		0.000425f, 0.000937f, 0.001529f, 0.002129f, 0.002674f, 0.003696f, 0.004257f, 0.004990f, 0.005726f, 0.006161f, 0.007118f, 0.007919f,
		0.009109f, 0.009941f, 0.011055f, 0.011993f, 0.013191f, 0.014832f, 0.016281f, 0.017868f, 0.019562f, 0.021362f, 0.023514f, 0.025909f,
		0.028549f, 0.031189f, 0.034637f, 0.037994f, 0.042145f, 0.046570f, 0.051453f, 0.057129f, 0.063965f, 0.070984f, 0.079285f, 0.088806f,
		0.099426f, 0.111267f, 0.125366f, 0.140747f, 0.158203f, 0.178101f, 0.199585f, 0.223755f, 0.250732f, 0.279297f, 0.310059f, 0.343994f,
		0.377686f, 0.414307f, 0.451904f, 0.489258f, 0.527832f, 0.565918f, 0.603027f, 0.640137f, 0.675781f, 0.710449f, 0.888672f, 0.897461f,
		0.899902f, 0.900391f, 0.899414f, 0.899414f, 0.000317f, 0.000823f, 0.001386f, 0.002108f, 0.002684f, 0.003239f, 0.003883f, 0.004303f,
		0.004730f, 0.005569f, 0.006626f, 0.007214f, 0.008003f, 0.008865f, 0.009590f, 0.010948f, 0.011856f, 0.012871f, 0.014381f, 0.015640f,
		0.017075f, 0.018799f, 0.020569f, 0.022537f, 0.024704f, 0.027405f, 0.030090f, 0.033142f, 0.036346f, 0.040436f, 0.044830f, 0.049835f,
		0.055450f, 0.061584f, 0.068665f, 0.076904f, 0.086060f, 0.096741f, 0.109192f, 0.122559f, 0.138428f, 0.155762f, 0.176270f, 0.198242f,
		0.223145f, 0.250244f, 0.280518f, 0.312500f, 0.346680f, 0.382324f, 0.420410f, 0.458740f, 0.498779f, 0.538086f, 0.577637f, 0.616211f,
		0.654297f, 0.690918f, 0.881348f, 0.890625f, 0.892578f, 0.893066f, 0.893066f, 0.892578f, 0.000385f, 0.000766f, 0.001544f, 0.001925f,
		0.002359f, 0.002947f, 0.003176f, 0.003691f, 0.004288f, 0.005215f, 0.005917f, 0.006214f, 0.007019f, 0.007843f, 0.008469f, 0.009598f,
		0.010345f, 0.011559f, 0.012497f, 0.013634f, 0.014992f, 0.016373f, 0.017853f, 0.019608f, 0.021515f, 0.023788f, 0.026260f, 0.028931f,
		0.031860f, 0.034912f, 0.038635f, 0.042633f, 0.047638f, 0.053070f, 0.059540f, 0.066284f, 0.074524f, 0.083679f, 0.094177f, 0.106445f,
		0.120361f, 0.135620f, 0.154053f, 0.174072f, 0.197144f, 0.222900f, 0.251221f, 0.281982f, 0.315430f, 0.351318f, 0.388672f, 0.427734f,
		0.468506f, 0.508301f, 0.549805f, 0.591309f, 0.631348f, 0.670410f, 0.874512f, 0.884766f, 0.885742f, 0.886230f, 0.886230f, 0.886230f,
		0.000230f, 0.000832f, 0.001281f, 0.001865f, 0.002207f, 0.002605f, 0.003212f, 0.003284f, 0.004124f, 0.004597f, 0.005222f, 0.005703f,
		0.006260f, 0.007095f, 0.007790f, 0.008377f, 0.009010f, 0.010078f, 0.011009f, 0.011925f, 0.013153f, 0.014282f, 0.015610f, 0.017151f,
		0.018951f, 0.020416f, 0.022583f, 0.024826f, 0.027328f, 0.030136f, 0.033508f, 0.036835f, 0.040985f, 0.045410f, 0.050812f, 0.056854f,
		0.063965f, 0.071777f, 0.081177f, 0.091858f, 0.103699f, 0.117615f, 0.133423f, 0.152588f, 0.172974f, 0.196777f, 0.222900f, 0.252686f,
		0.284912f, 0.319824f, 0.356934f, 0.395996f, 0.436768f, 0.478516f, 0.521484f, 0.564453f, 0.607422f, 0.649414f, 0.866699f, 0.876953f,
		0.877930f, 0.879395f, 0.879883f, 0.878418f, 0.000228f, 0.000734f, 0.000993f, 0.001416f, 0.001935f, 0.002293f, 0.002541f, 0.003174f,
		0.003508f, 0.004040f, 0.004337f, 0.005039f, 0.005505f, 0.006054f, 0.006840f, 0.007366f, 0.008041f, 0.008644f, 0.009544f, 0.010460f,
		0.011238f, 0.012329f, 0.013542f, 0.014755f, 0.016083f, 0.017624f, 0.019424f, 0.021408f, 0.023422f, 0.025803f, 0.028366f, 0.031311f,
		0.034912f, 0.039124f, 0.043304f, 0.048492f, 0.054291f, 0.061188f, 0.069397f, 0.078552f, 0.089233f, 0.101074f, 0.115540f, 0.131226f,
		0.150757f, 0.172119f, 0.196533f, 0.224243f, 0.254883f, 0.288574f, 0.324707f, 0.364014f, 0.405029f, 0.447510f, 0.491699f, 0.536133f,
		0.581543f, 0.627441f, 0.858398f, 0.869141f, 0.870605f, 0.871582f, 0.871094f, 0.871582f, 0.000118f, 0.000713f, 0.000985f, 0.001328f,
		0.001612f, 0.001999f, 0.002399f, 0.002913f, 0.003139f, 0.003567f, 0.004055f, 0.004406f, 0.004986f, 0.005226f, 0.005856f, 0.006332f,
		0.007042f, 0.007553f, 0.008286f, 0.009064f, 0.009834f, 0.010696f, 0.011658f, 0.012726f, 0.013817f, 0.015289f, 0.016693f, 0.018265f,
		0.019699f, 0.021835f, 0.024307f, 0.026642f, 0.029770f, 0.033234f, 0.037048f, 0.041351f, 0.046478f, 0.052032f, 0.058960f, 0.066589f,
		0.075745f, 0.086182f, 0.099121f, 0.113037f, 0.129517f, 0.149048f, 0.171387f, 0.196899f, 0.225464f, 0.257812f, 0.293457f, 0.331787f,
		0.373291f, 0.416748f, 0.460938f, 0.507812f, 0.554688f, 0.602051f, 0.849609f, 0.859863f, 0.862793f, 0.863281f, 0.862793f, 0.862793f,
		0.000211f, 0.000522f, 0.000877f, 0.001204f, 0.001507f, 0.001724f, 0.002062f, 0.002426f, 0.002867f, 0.003157f, 0.003443f, 0.003752f,
		0.004192f, 0.004753f, 0.005154f, 0.005428f, 0.006065f, 0.006546f, 0.007210f, 0.007725f, 0.008530f, 0.009247f, 0.010025f, 0.010887f,
		0.011909f, 0.012970f, 0.014069f, 0.015335f, 0.017105f, 0.018433f, 0.020554f, 0.022552f, 0.025116f, 0.027802f, 0.031158f, 0.034485f,
		0.038971f, 0.044037f, 0.049469f, 0.055847f, 0.063843f, 0.072815f, 0.083618f, 0.095947f, 0.110840f, 0.128174f, 0.147949f, 0.171387f,
		0.198242f, 0.228271f, 0.262207f, 0.299805f, 0.340332f, 0.384277f, 0.430176f, 0.477295f, 0.527344f, 0.577637f, 0.839844f, 0.851074f,
		0.853516f, 0.854492f, 0.854980f, 0.854980f, 0.000218f, 0.000479f, 0.000706f, 0.001109f, 0.001245f, 0.001763f, 0.001800f, 0.002211f,
		0.002377f, 0.002783f, 0.003103f, 0.003223f, 0.003782f, 0.004089f, 0.004326f, 0.004711f, 0.005306f, 0.005569f, 0.006199f, 0.006653f,
		0.007168f, 0.007919f, 0.008560f, 0.009254f, 0.009979f, 0.010872f, 0.012054f, 0.012810f, 0.014221f, 0.015793f, 0.017181f, 0.018967f,
		0.021088f, 0.023361f, 0.026001f, 0.028915f, 0.032257f, 0.036469f, 0.040924f, 0.046875f, 0.053375f, 0.061218f, 0.070435f, 0.080811f,
		0.093628f, 0.108704f, 0.126709f, 0.147461f, 0.172241f, 0.199951f, 0.232788f, 0.268799f, 0.308594f, 0.351562f, 0.397705f, 0.447266f,
		0.498291f, 0.550293f, 0.830078f, 0.841797f, 0.843750f, 0.845215f, 0.845215f, 0.845703f, 0.000139f, 0.000379f, 0.000704f, 0.000896f,
		0.001095f, 0.001392f, 0.001649f, 0.002058f, 0.002235f, 0.002483f, 0.002621f, 0.002878f, 0.003214f, 0.003580f, 0.003820f, 0.004055f,
		0.004498f, 0.004791f, 0.005173f, 0.005692f, 0.006145f, 0.006691f, 0.007175f, 0.007874f, 0.008499f, 0.009239f, 0.010117f, 0.011032f,
		0.011864f, 0.012901f, 0.014282f, 0.015701f, 0.017242f, 0.019516f, 0.021469f, 0.024002f, 0.026749f, 0.029953f, 0.034027f, 0.038727f,
		0.044250f, 0.050568f, 0.058136f, 0.067139f, 0.078247f, 0.091614f, 0.106689f, 0.125366f, 0.147339f, 0.172974f, 0.202881f, 0.237671f,
		0.275879f, 0.318359f, 0.365234f, 0.415283f, 0.468018f, 0.521973f, 0.819336f, 0.832031f, 0.834473f, 0.834961f, 0.835449f, 0.835938f,
		0.000115f, 0.000396f, 0.000688f, 0.000885f, 0.000917f, 0.001393f, 0.001478f, 0.001590f, 0.001944f, 0.002123f, 0.002291f, 0.002644f,
		0.002666f, 0.003023f, 0.003197f, 0.003546f, 0.003714f, 0.004246f, 0.004551f, 0.004837f, 0.005108f, 0.005577f, 0.006054f, 0.006504f,
		0.007023f, 0.007633f, 0.008362f, 0.009148f, 0.009926f, 0.010742f, 0.011917f, 0.013062f, 0.014351f, 0.015991f, 0.017639f, 0.019455f,
		0.021729f, 0.024689f, 0.027740f, 0.031708f, 0.036102f, 0.041260f, 0.047882f, 0.055450f, 0.064392f, 0.075500f, 0.088928f, 0.104797f,
		0.124756f, 0.147949f, 0.175415f, 0.207275f, 0.244507f, 0.286133f, 0.332520f, 0.381836f, 0.436279f, 0.492432f, 0.808105f, 0.821289f,
		0.822754f, 0.824707f, 0.825195f, 0.824219f, 0.000209f, 0.000435f, 0.000493f, 0.000669f, 0.001040f, 0.001076f, 0.001254f, 0.001398f,
		0.001603f, 0.001697f, 0.001987f, 0.002140f, 0.002268f, 0.002472f, 0.002769f, 0.002991f, 0.003302f, 0.003572f, 0.003685f, 0.004002f,
		0.004337f, 0.004654f, 0.005062f, 0.005379f, 0.005871f, 0.006363f, 0.006733f, 0.007416f, 0.008102f, 0.008812f, 0.009727f, 0.010689f,
		0.011566f, 0.013145f, 0.014053f, 0.015762f, 0.017899f, 0.020096f, 0.022552f, 0.025528f, 0.028992f, 0.033325f, 0.038635f, 0.044952f,
		0.052582f, 0.061554f, 0.072998f, 0.086670f, 0.103577f, 0.124329f, 0.148804f, 0.178467f, 0.213501f, 0.253174f, 0.298828f, 0.348877f,
		0.403076f, 0.461914f, 0.795898f, 0.809570f, 0.812012f, 0.813477f, 0.813477f, 0.814453f, 0.000243f, 0.000322f, 0.000466f, 0.000710f,
		0.000863f, 0.000942f, 0.001051f, 0.001182f, 0.001369f, 0.001451f, 0.001716f, 0.001851f, 0.001968f, 0.002192f, 0.002323f, 0.002470f,
		0.002773f, 0.002850f, 0.003056f, 0.003399f, 0.003624f, 0.003832f, 0.004192f, 0.004467f, 0.004955f, 0.005276f, 0.005772f, 0.006084f,
		0.006672f, 0.007191f, 0.007828f, 0.008720f, 0.009575f, 0.010292f, 0.011505f, 0.012535f, 0.014114f, 0.016006f, 0.017838f, 0.020462f,
		0.023193f, 0.026489f, 0.030807f, 0.035858f, 0.041840f, 0.049652f, 0.059174f, 0.070435f, 0.084839f, 0.102783f, 0.124146f, 0.151489f,
		0.183472f, 0.221802f, 0.265137f, 0.315186f, 0.369629f, 0.430664f, 0.782715f, 0.796875f, 0.799805f, 0.800293f, 0.801758f, 0.801758f,
		0.000119f, 0.000369f, 0.000340f, 0.000595f, 0.000667f, 0.000841f, 0.001010f, 0.001086f, 0.001179f, 0.001225f, 0.001494f, 0.001555f,
		0.001654f, 0.001754f, 0.001965f, 0.002142f, 0.002197f, 0.002432f, 0.002619f, 0.002811f, 0.003021f, 0.003139f, 0.003567f, 0.003708f,
		0.004066f, 0.004360f, 0.004612f, 0.005123f, 0.005489f, 0.005878f, 0.006306f, 0.006824f, 0.007576f, 0.008286f, 0.008949f, 0.010155f,
		0.011322f, 0.012756f, 0.014046f, 0.015976f, 0.018250f, 0.020874f, 0.024094f, 0.027878f, 0.032867f, 0.039154f, 0.046509f, 0.055908f,
		0.068054f, 0.082886f, 0.102356f, 0.125732f, 0.155029f, 0.190674f, 0.232422f, 0.281006f, 0.335693f, 0.397949f, 0.770020f, 0.783691f,
		0.786621f, 0.787598f, 0.788086f, 0.789551f, 0.000000f, 0.000220f, 0.000275f, 0.000562f, 0.000618f, 0.000683f, 0.000733f, 0.000761f,
		0.000966f, 0.001022f, 0.001184f, 0.001237f, 0.001382f, 0.001552f, 0.001688f, 0.001724f, 0.001918f, 0.002024f, 0.002115f, 0.002243f,
		0.002403f, 0.002718f, 0.002840f, 0.003052f, 0.003330f, 0.003508f, 0.003860f, 0.004097f, 0.004314f, 0.004719f, 0.005074f, 0.005535f,
		0.006058f, 0.006584f, 0.007168f, 0.007874f, 0.008759f, 0.009651f, 0.011086f, 0.012459f, 0.013992f, 0.015945f, 0.018433f, 0.021408f,
		0.025192f, 0.029861f, 0.035950f, 0.043396f, 0.053406f, 0.065735f, 0.082031f, 0.102234f, 0.128052f, 0.160645f, 0.200073f, 0.247192f,
		0.301025f, 0.363281f, 0.755371f, 0.770996f, 0.772949f, 0.773926f, 0.775879f, 0.775879f, 0.000216f, 0.000102f, 0.000381f, 0.000487f,
		0.000429f, 0.000552f, 0.000579f, 0.000788f, 0.000804f, 0.000854f, 0.000937f, 0.000996f, 0.001078f, 0.001218f, 0.001315f, 0.001499f,
		0.001532f, 0.001642f, 0.001805f, 0.001825f, 0.002077f, 0.002178f, 0.002312f, 0.002396f, 0.002575f, 0.002735f, 0.002947f, 0.003317f,
		0.003428f, 0.003721f, 0.004185f, 0.004379f, 0.004704f, 0.005253f, 0.005650f, 0.006145f, 0.006870f, 0.007515f, 0.008415f, 0.009430f,
		0.010612f, 0.012093f, 0.013954f, 0.016052f, 0.018967f, 0.022476f, 0.027115f, 0.032898f, 0.040649f, 0.050690f, 0.063599f, 0.080811f,
		0.103210f, 0.132202f, 0.168823f, 0.213501f, 0.266602f, 0.329102f, 0.740234f, 0.756348f, 0.758789f, 0.760254f, 0.761230f, 0.761230f,
		0.000179f, 0.000181f, 0.000180f, 0.000289f, 0.000413f, 0.000458f, 0.000497f, 0.000620f, 0.000646f, 0.000688f, 0.000830f, 0.000868f,
		0.000904f, 0.000981f, 0.001024f, 0.001178f, 0.001146f, 0.001302f, 0.001382f, 0.001523f, 0.001679f, 0.001737f, 0.001824f, 0.001959f,
		0.002195f, 0.002283f, 0.002438f, 0.002579f, 0.002703f, 0.002939f, 0.003181f, 0.003454f, 0.003677f, 0.004051f, 0.004395f, 0.004738f,
		0.005283f, 0.005783f, 0.006420f, 0.007095f, 0.007988f, 0.009094f, 0.010384f, 0.011955f, 0.013939f, 0.016434f, 0.019836f, 0.024292f,
		0.030029f, 0.037659f, 0.048065f, 0.061890f, 0.080811f, 0.105774f, 0.138672f, 0.180542f, 0.231934f, 0.293213f, 0.724121f, 0.740234f,
		0.744141f, 0.745117f, 0.745605f, 0.746094f, 0.000000f, 0.000056f, 0.000263f, 0.000339f, 0.000369f, 0.000357f, 0.000376f, 0.000508f,
		0.000519f, 0.000558f, 0.000581f, 0.000678f, 0.000767f, 0.000775f, 0.000905f, 0.000849f, 0.000992f, 0.000942f, 0.001192f, 0.001169f,
		0.001204f, 0.001375f, 0.001439f, 0.001532f, 0.001634f, 0.001676f, 0.001799f, 0.001904f, 0.002165f, 0.002262f, 0.002377f, 0.002611f,
		0.002836f, 0.003103f, 0.003321f, 0.003550f, 0.004005f, 0.004356f, 0.004772f, 0.005295f, 0.005962f, 0.006756f, 0.007690f, 0.008690f,
		0.010078f, 0.011871f, 0.014252f, 0.017242f, 0.021393f, 0.027100f, 0.034851f, 0.046051f, 0.060455f, 0.081848f, 0.110474f, 0.148682f,
		0.197632f, 0.257568f, 0.706543f, 0.724121f, 0.727539f, 0.729492f, 0.729980f, 0.729492f, 0.000000f, 0.000130f, 0.000174f, 0.000312f,
		0.000290f, 0.000293f, 0.000372f, 0.000319f, 0.000397f, 0.000433f, 0.000550f, 0.000552f, 0.000564f, 0.000593f, 0.000638f, 0.000758f,
		0.000784f, 0.000797f, 0.000842f, 0.000937f, 0.001011f, 0.001068f, 0.001125f, 0.001231f, 0.001228f, 0.001288f, 0.001409f, 0.001465f,
		0.001644f, 0.001697f, 0.001965f, 0.001924f, 0.002136f, 0.002270f, 0.002436f, 0.002697f, 0.002916f, 0.003202f, 0.003492f, 0.003929f,
		0.004391f, 0.004887f, 0.005516f, 0.006233f, 0.007240f, 0.008461f, 0.010094f, 0.012070f, 0.014854f, 0.018585f, 0.024338f, 0.032379f,
		0.043884f, 0.060516f, 0.084656f, 0.118469f, 0.164185f, 0.222168f, 0.689941f, 0.708008f, 0.710449f, 0.711914f, 0.712891f, 0.712402f,
		0.000000f, 0.000000f, 0.000122f, 0.000226f, 0.000145f, 0.000282f, 0.000255f, 0.000247f, 0.000323f, 0.000389f, 0.000379f, 0.000435f,
		0.000461f, 0.000509f, 0.000535f, 0.000517f, 0.000557f, 0.000604f, 0.000649f, 0.000690f, 0.000757f, 0.000773f, 0.000836f, 0.000865f,
		0.000924f, 0.000957f, 0.001095f, 0.001104f, 0.001243f, 0.001361f, 0.001458f, 0.001486f, 0.001619f, 0.001745f, 0.001791f, 0.001993f,
		0.002100f, 0.002321f, 0.002539f, 0.002771f, 0.003084f, 0.003412f, 0.003866f, 0.004368f, 0.005062f, 0.005821f, 0.006882f, 0.008278f,
		0.010071f, 0.012756f, 0.016327f, 0.021774f, 0.029785f, 0.042206f, 0.061462f, 0.090149f, 0.131348f, 0.187378f, 0.669434f, 0.688965f,
		0.692383f, 0.694824f, 0.695801f, 0.695312f, 0.000000f, 0.000118f, 0.000113f, 0.000158f, 0.000158f, 0.000176f, 0.000224f, 0.000202f,
		0.000251f, 0.000260f, 0.000280f, 0.000332f, 0.000316f, 0.000365f, 0.000389f, 0.000419f, 0.000454f, 0.000435f, 0.000476f, 0.000494f,
		0.000516f, 0.000576f, 0.000609f, 0.000656f, 0.000678f, 0.000712f, 0.000792f, 0.000800f, 0.000852f, 0.000919f, 0.000961f, 0.001070f,
		0.001120f, 0.001238f, 0.001300f, 0.001480f, 0.001459f, 0.001634f, 0.001798f, 0.001947f, 0.002111f, 0.002377f, 0.002615f, 0.002966f,
		0.003410f, 0.003933f, 0.004585f, 0.005489f, 0.006706f, 0.008148f, 0.010757f, 0.013962f, 0.019257f, 0.027771f, 0.041931f, 0.065125f,
		0.101135f, 0.152832f, 0.650391f, 0.670898f, 0.674316f, 0.675293f, 0.675781f, 0.677246f, 0.000000f, 0.000000f, 0.000109f, 0.000106f,
		0.000121f, 0.000117f, 0.000130f, 0.000151f, 0.000161f, 0.000174f, 0.000234f, 0.000197f, 0.000205f, 0.000236f, 0.000272f, 0.000296f,
		0.000267f, 0.000296f, 0.000397f, 0.000344f, 0.000413f, 0.000395f, 0.000433f, 0.000434f, 0.000504f, 0.000488f, 0.000532f, 0.000550f,
		0.000602f, 0.000711f, 0.000675f, 0.000704f, 0.000752f, 0.000817f, 0.000896f, 0.000955f, 0.001009f, 0.001091f, 0.001223f, 0.001271f,
		0.001415f, 0.001560f, 0.001721f, 0.001989f, 0.002214f, 0.002508f, 0.002930f, 0.003504f, 0.004208f, 0.005169f, 0.006603f, 0.008606f,
		0.011864f, 0.017090f, 0.026367f, 0.043396f, 0.072571f, 0.119751f, 0.630859f, 0.650879f, 0.653809f, 0.656250f, 0.657227f, 0.657227f,
		0.000000f, 0.000111f, 0.000104f, 0.000100f, 0.000096f, 0.000094f, 0.000105f, 0.000096f, 0.000101f, 0.000115f, 0.000119f, 0.000155f,
		0.000129f, 0.000180f, 0.000186f, 0.000199f, 0.000208f, 0.000214f, 0.000232f, 0.000230f, 0.000237f, 0.000247f, 0.000303f, 0.000276f,
		0.000324f, 0.000332f, 0.000381f, 0.000371f, 0.000393f, 0.000428f, 0.000490f, 0.000468f, 0.000512f, 0.000540f, 0.000598f, 0.000670f,
		0.000673f, 0.000711f, 0.000767f, 0.000842f, 0.000894f, 0.000985f, 0.001120f, 0.001200f, 0.001416f, 0.001544f, 0.001768f, 0.002052f,
		0.002510f, 0.003044f, 0.003796f, 0.005016f, 0.006870f, 0.009918f, 0.015335f, 0.026077f, 0.048004f, 0.088745f, 0.610352f, 0.630859f,
		0.634277f, 0.636230f, 0.637207f, 0.638184f, 0.000000f, 0.000104f, 0.000098f, 0.000092f, 0.000087f, 0.000084f, 0.000081f, 0.000078f,
		0.000074f, 0.000070f, 0.000073f, 0.000075f, 0.000081f, 0.000081f, 0.000119f, 0.000124f, 0.000129f, 0.000115f, 0.000142f, 0.000169f,
		0.000155f, 0.000169f, 0.000172f, 0.000196f, 0.000209f, 0.000211f, 0.000203f, 0.000238f, 0.000245f, 0.000260f, 0.000282f, 0.000281f,
		0.000297f, 0.000333f, 0.000343f, 0.000374f, 0.000398f, 0.000428f, 0.000473f, 0.000494f, 0.000534f, 0.000591f, 0.000643f, 0.000708f,
		0.000790f, 0.000893f, 0.001040f, 0.001169f, 0.001381f, 0.001676f, 0.002123f, 0.002686f, 0.003658f, 0.005329f, 0.008347f, 0.014244f,
		0.027954f, 0.060638f, 0.587891f, 0.609375f, 0.613281f, 0.614746f, 0.616699f, 0.616211f, 0.000110f, 0.000094f, 0.000085f, 0.000079f,
		0.000075f, 0.000072f, 0.000069f, 0.000067f, 0.000065f, 0.000063f, 0.000059f, 0.000059f, 0.000054f, 0.000051f, 0.000055f, 0.000051f,
		0.000066f, 0.000066f, 0.000078f, 0.000074f, 0.000089f, 0.000091f, 0.000102f, 0.000109f, 0.000114f, 0.000126f, 0.000133f, 0.000130f,
		0.000141f, 0.000141f, 0.000156f, 0.000172f, 0.000180f, 0.000179f, 0.000206f, 0.000199f, 0.000214f, 0.000254f, 0.000247f, 0.000282f,
		0.000300f, 0.000324f, 0.000349f, 0.000374f, 0.000413f, 0.000459f, 0.000513f, 0.000619f, 0.000711f, 0.000823f, 0.001030f, 0.001269f,
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		0.489014f, 0.514648f, 0.537598f, 0.561523f, 0.583984f, 0.606445f, 0.627930f, 0.648926f, 0.667480f, 0.687988f, 0.705566f, 0.723633f,
		0.740234f, 0.756348f, 0.771484f, 0.786621f, 0.799805f, 0.812012f, 0.825195f, 0.836426f, 0.849121f, 0.859375f, 0.870605f, 0.879883f,
		0.888672f, 0.897461f, 0.905762f, 0.915039f, 0.921387f, 0.928711f, 0.967773f, 0.969238f, 0.966797f, 0.966797f, 0.964355f, 0.963379f,
		0.002750f, 0.008202f, 0.014519f, 0.021301f, 0.028183f, 0.035828f, 0.044342f, 0.053375f, 0.063354f, 0.074219f, 0.085876f, 0.098083f,
		0.111938f, 0.126343f, 0.142212f, 0.158936f, 0.177124f, 0.196411f, 0.216553f, 0.237427f, 0.260010f, 0.282715f, 0.306641f, 0.330811f,
		0.355957f, 0.381104f, 0.405518f, 0.431152f, 0.456543f, 0.480957f, 0.504883f, 0.529785f, 0.553223f, 0.577148f, 0.599121f, 0.620605f,
		0.642090f, 0.662598f, 0.682617f, 0.701172f, 0.718750f, 0.735352f, 0.751953f, 0.768066f, 0.783691f, 0.796875f, 0.810547f, 0.822754f,
		0.835938f, 0.847656f, 0.858398f, 0.869141f, 0.879395f, 0.888672f, 0.897949f, 0.906250f, 0.914551f, 0.922363f, 0.965820f, 0.966797f,
		0.965820f, 0.963867f, 0.963379f, 0.961426f, 0.002264f, 0.007446f, 0.012741f, 0.018494f, 0.024536f, 0.031769f, 0.039154f, 0.047424f,
		0.056122f, 0.065308f, 0.075623f, 0.087219f, 0.098755f, 0.111328f, 0.125854f, 0.140869f, 0.157349f, 0.174805f, 0.193115f, 0.212402f,
		0.233643f, 0.254883f, 0.276855f, 0.300293f, 0.324463f, 0.348389f, 0.374023f, 0.398193f, 0.423340f, 0.448242f, 0.473877f, 0.498291f,
		0.521973f, 0.545898f, 0.569824f, 0.592773f, 0.614258f, 0.635742f, 0.657227f, 0.676270f, 0.695801f, 0.714844f, 0.731445f, 0.749512f,
		0.765137f, 0.779785f, 0.793945f, 0.808594f, 0.821777f, 0.833496f, 0.846191f, 0.858398f, 0.868652f, 0.879395f, 0.888672f, 0.897949f,
		0.906738f, 0.916016f, 0.962402f, 0.963867f, 0.962891f, 0.961914f, 0.960938f, 0.958984f, 0.002377f, 0.006668f, 0.011467f, 0.016693f,
		0.021820f, 0.028091f, 0.034485f, 0.041748f, 0.049347f, 0.057678f, 0.066589f, 0.076538f, 0.086975f, 0.098816f, 0.111816f, 0.125366f,
		0.139404f, 0.155151f, 0.171875f, 0.190186f, 0.208496f, 0.228760f, 0.250244f, 0.271973f, 0.294189f, 0.317871f, 0.341797f, 0.365479f,
		0.391357f, 0.415771f, 0.440430f, 0.466797f, 0.491699f, 0.515625f, 0.539551f, 0.563477f, 0.585938f, 0.608887f, 0.630371f, 0.651855f,
		0.672363f, 0.692383f, 0.710449f, 0.729492f, 0.745605f, 0.762695f, 0.778320f, 0.792480f, 0.807129f, 0.820801f, 0.833984f, 0.846680f,
		0.857910f, 0.869141f, 0.879395f, 0.889648f, 0.899414f, 0.907715f, 0.959473f, 0.961426f, 0.960449f, 0.959961f, 0.958496f, 0.957031f,
		0.002062f, 0.006180f, 0.010201f, 0.015053f, 0.019531f, 0.025116f, 0.030960f, 0.037292f, 0.043915f, 0.051117f, 0.059570f, 0.067749f,
		0.076843f, 0.087708f, 0.099060f, 0.110352f, 0.123413f, 0.138062f, 0.153198f, 0.169067f, 0.186768f, 0.204956f, 0.224487f, 0.244873f,
		0.265625f, 0.288330f, 0.311768f, 0.335205f, 0.359863f, 0.384521f, 0.409668f, 0.434082f, 0.459717f, 0.483887f, 0.508789f, 0.533203f,
		0.557617f, 0.580566f, 0.603516f, 0.626465f, 0.646484f, 0.667969f, 0.687500f, 0.708008f, 0.726074f, 0.744141f, 0.760742f, 0.776367f,
		0.791504f, 0.806641f, 0.820312f, 0.833496f, 0.846191f, 0.858398f, 0.869629f, 0.879883f, 0.890625f, 0.900879f, 0.956543f, 0.958496f,
		0.958008f, 0.956543f, 0.955566f, 0.954102f, 0.001774f, 0.005459f, 0.009155f, 0.013290f, 0.017807f, 0.022537f, 0.027527f, 0.033081f,
		0.038818f, 0.045380f, 0.052643f, 0.060516f, 0.068420f, 0.077942f, 0.087952f, 0.098572f, 0.109863f, 0.122925f, 0.136230f, 0.150146f,
		0.166382f, 0.183105f, 0.201172f, 0.219482f, 0.240112f, 0.261230f, 0.283203f, 0.305664f, 0.329590f, 0.353027f, 0.377930f, 0.402344f,
		0.427490f, 0.453369f, 0.478516f, 0.502930f, 0.527832f, 0.552246f, 0.575684f, 0.598145f, 0.621094f, 0.643555f, 0.664551f, 0.685547f,
		0.704590f, 0.723633f, 0.742188f, 0.759277f, 0.775879f, 0.791016f, 0.806152f, 0.820801f, 0.833496f, 0.847168f, 0.859375f, 0.870605f,
		0.881348f, 0.893066f, 0.953125f, 0.956055f, 0.955566f, 0.954102f, 0.953125f, 0.951660f, 0.001655f, 0.004757f, 0.008308f, 0.011993f,
		0.015808f, 0.020187f, 0.024780f, 0.029434f, 0.034851f, 0.040741f, 0.046997f, 0.053650f, 0.061096f, 0.069397f, 0.078064f, 0.087280f,
		0.097351f, 0.108887f, 0.121033f, 0.134277f, 0.148560f, 0.163330f, 0.180054f, 0.197144f, 0.215332f, 0.235718f, 0.255859f, 0.277588f,
		0.300049f, 0.323730f, 0.347656f, 0.371826f, 0.396729f, 0.422607f, 0.447021f, 0.472168f, 0.497803f, 0.521973f, 0.547363f, 0.571289f,
		0.594238f, 0.618164f, 0.640137f, 0.662109f, 0.682617f, 0.702637f, 0.722168f, 0.739746f, 0.758301f, 0.774902f, 0.790527f, 0.806641f,
		0.820801f, 0.834961f, 0.848633f, 0.860352f, 0.872559f, 0.883789f, 0.949707f, 0.953125f, 0.952148f, 0.951172f, 0.950684f, 0.948730f,
		0.001418f, 0.004456f, 0.007584f, 0.010803f, 0.014450f, 0.018005f, 0.022186f, 0.026398f, 0.031342f, 0.036224f, 0.041687f, 0.048126f,
		0.054382f, 0.061676f, 0.069641f, 0.077759f, 0.086914f, 0.097168f, 0.107910f, 0.119263f, 0.132446f, 0.145752f, 0.161011f, 0.176758f,
		0.193726f, 0.211914f, 0.231201f, 0.251709f, 0.272705f, 0.294922f, 0.318604f, 0.342041f, 0.366455f, 0.390869f, 0.416992f, 0.441895f,
		0.467285f, 0.493164f, 0.517578f, 0.541992f, 0.566895f, 0.590820f, 0.614746f, 0.637207f, 0.660156f, 0.681152f, 0.701172f, 0.720703f,
		0.739746f, 0.758301f, 0.775391f, 0.791992f, 0.807617f, 0.821289f, 0.836426f, 0.850586f, 0.863281f, 0.874512f, 0.946777f, 0.949707f,
		0.949707f, 0.948730f, 0.947266f, 0.946289f, 0.001213f, 0.003864f, 0.006721f, 0.009796f, 0.012932f, 0.016037f, 0.020218f, 0.024231f,
		0.028275f, 0.032379f, 0.037567f, 0.042603f, 0.048584f, 0.054993f, 0.061798f, 0.069519f, 0.077637f, 0.086182f, 0.095703f, 0.106323f,
		0.117676f, 0.130127f, 0.143555f, 0.158203f, 0.173462f, 0.189941f, 0.207886f, 0.226807f, 0.247192f, 0.267822f, 0.290527f, 0.312500f,
		0.336670f, 0.360352f, 0.385742f, 0.410889f, 0.437256f, 0.462646f, 0.488281f, 0.513184f, 0.539062f, 0.563477f, 0.588379f, 0.612305f,
		0.636230f, 0.657715f, 0.679199f, 0.700195f, 0.720703f, 0.740234f, 0.758301f, 0.775879f, 0.793945f, 0.809082f, 0.824219f, 0.838867f,
		0.852539f, 0.865234f, 0.942871f, 0.946777f, 0.946777f, 0.945312f, 0.944824f, 0.943359f, 0.001063f, 0.003754f, 0.005909f, 0.008789f,
		0.011780f, 0.014671f, 0.017792f, 0.021378f, 0.025238f, 0.029221f, 0.033417f, 0.038300f, 0.043488f, 0.048828f, 0.054779f, 0.061554f,
		0.068604f, 0.076721f, 0.085388f, 0.094482f, 0.104614f, 0.115845f, 0.128296f, 0.141113f, 0.155029f, 0.170044f, 0.186401f, 0.204224f,
		0.222778f, 0.242188f, 0.263916f, 0.285156f, 0.308350f, 0.331787f, 0.355957f, 0.381348f, 0.407227f, 0.432617f, 0.459229f, 0.484619f,
		0.509277f, 0.536133f, 0.560547f, 0.585938f, 0.609863f, 0.633301f, 0.657715f, 0.678711f, 0.699707f, 0.721191f, 0.740723f, 0.759277f,
		0.777344f, 0.794922f, 0.811035f, 0.826660f, 0.841797f, 0.855469f, 0.939453f, 0.943359f, 0.943359f, 0.942871f, 0.941895f, 0.940918f,
		0.001175f, 0.003069f, 0.005558f, 0.007912f, 0.010712f, 0.013199f, 0.016235f, 0.019547f, 0.022659f, 0.026138f, 0.030151f, 0.034424f,
		0.038940f, 0.044067f, 0.049255f, 0.054993f, 0.061493f, 0.068359f, 0.075928f, 0.084290f, 0.093262f, 0.103760f, 0.114319f, 0.126099f,
		0.138550f, 0.152466f, 0.167114f, 0.183472f, 0.200439f, 0.219238f, 0.239014f, 0.259277f, 0.281250f, 0.303711f, 0.327148f, 0.351807f,
		0.376709f, 0.402344f, 0.428955f, 0.453857f, 0.480713f, 0.507324f, 0.533203f, 0.558594f, 0.583984f, 0.609375f, 0.633301f, 0.656738f,
		0.678711f, 0.700195f, 0.722168f, 0.742188f, 0.761719f, 0.780273f, 0.797852f, 0.813477f, 0.830078f, 0.845703f, 0.935547f, 0.939453f,
		0.939453f, 0.938965f, 0.937988f, 0.937012f, 0.001089f, 0.002945f, 0.005066f, 0.007225f, 0.009575f, 0.012016f, 0.014656f, 0.017288f,
		0.020142f, 0.023712f, 0.026764f, 0.030640f, 0.034637f, 0.039490f, 0.043854f, 0.048706f, 0.054688f, 0.060913f, 0.067871f, 0.075256f,
		0.083191f, 0.092163f, 0.101868f, 0.111938f, 0.123657f, 0.136108f, 0.149658f, 0.164185f, 0.179932f, 0.196777f, 0.215454f, 0.234375f,
		0.255371f, 0.276611f, 0.299805f, 0.323486f, 0.347656f, 0.373047f, 0.398682f, 0.425293f, 0.451172f, 0.477783f, 0.504883f, 0.530762f,
		0.557617f, 0.583008f, 0.607910f, 0.632812f, 0.657227f, 0.680664f, 0.702637f, 0.724121f, 0.743652f, 0.764160f, 0.783691f, 0.800781f,
		0.818848f, 0.833984f, 0.930664f, 0.936035f, 0.936035f, 0.935547f, 0.934570f, 0.933594f, 0.000847f, 0.002800f, 0.004562f, 0.006786f,
		0.008804f, 0.011017f, 0.013145f, 0.015640f, 0.018509f, 0.021255f, 0.024277f, 0.027603f, 0.030991f, 0.035248f, 0.039642f, 0.043854f,
		0.048798f, 0.054504f, 0.060516f, 0.067017f, 0.073914f, 0.082092f, 0.090515f, 0.099854f, 0.109863f, 0.121521f, 0.133545f, 0.146851f,
		0.161133f, 0.176514f, 0.192993f, 0.211426f, 0.230957f, 0.251465f, 0.272705f, 0.295410f, 0.319092f, 0.343994f, 0.369385f, 0.395020f,
		0.421631f, 0.448242f, 0.475342f, 0.501953f, 0.529785f, 0.556152f, 0.582031f, 0.608887f, 0.633789f, 0.658203f, 0.681152f, 0.704590f,
		0.726074f, 0.748535f, 0.768555f, 0.787109f, 0.804199f, 0.822754f, 0.926758f, 0.931641f, 0.932129f, 0.931641f, 0.931152f, 0.930176f,
		0.001035f, 0.002598f, 0.004147f, 0.006062f, 0.007942f, 0.009933f, 0.012405f, 0.014565f, 0.016174f, 0.019135f, 0.021988f, 0.024811f,
		0.028259f, 0.031616f, 0.035065f, 0.039429f, 0.043884f, 0.048615f, 0.053833f, 0.059723f, 0.065796f, 0.072693f, 0.080383f, 0.088745f,
		0.098206f, 0.107727f, 0.119080f, 0.130981f, 0.143677f, 0.157959f, 0.173218f, 0.189941f, 0.207642f, 0.226929f, 0.247437f, 0.269043f,
		0.291748f, 0.315674f, 0.340576f, 0.366211f, 0.392578f, 0.419434f, 0.446533f, 0.473877f, 0.502441f, 0.528320f, 0.556152f, 0.583008f,
		0.609375f, 0.635254f, 0.660156f, 0.684082f, 0.706543f, 0.729980f, 0.751953f, 0.771973f, 0.792480f, 0.810547f, 0.922363f, 0.927734f,
		0.928223f, 0.928223f, 0.927246f, 0.926758f, 0.000775f, 0.002325f, 0.003843f, 0.005573f, 0.007397f, 0.009163f, 0.010857f, 0.012939f,
		0.015312f, 0.017273f, 0.019684f, 0.022537f, 0.025070f, 0.028183f, 0.031616f, 0.035461f, 0.038940f, 0.043671f, 0.048096f, 0.053131f,
		0.058411f, 0.064941f, 0.071777f, 0.078857f, 0.086731f, 0.096130f, 0.105835f, 0.116760f, 0.128296f, 0.140747f, 0.154907f, 0.170410f,
		0.186646f, 0.204834f, 0.223633f, 0.243896f, 0.265625f, 0.288330f, 0.312012f, 0.337402f, 0.363037f, 0.389648f, 0.417480f, 0.444824f,
		0.473633f, 0.500000f, 0.529297f, 0.556641f, 0.583984f, 0.610840f, 0.638184f, 0.662598f, 0.687988f, 0.711914f, 0.734375f, 0.755859f,
		0.777832f, 0.798828f, 0.916992f, 0.922852f, 0.923828f, 0.923828f, 0.923340f, 0.922363f, 0.000617f, 0.002234f, 0.003510f, 0.005035f,
		0.006397f, 0.008156f, 0.010033f, 0.011665f, 0.013481f, 0.015717f, 0.017700f, 0.020004f, 0.022766f, 0.025391f, 0.028214f, 0.031586f,
		0.035217f, 0.038757f, 0.042999f, 0.047668f, 0.052368f, 0.057434f, 0.063538f, 0.070190f, 0.077698f, 0.085449f, 0.094299f, 0.103394f,
		0.113953f, 0.125610f, 0.137817f, 0.151855f, 0.167236f, 0.183228f, 0.200806f, 0.219971f, 0.240479f, 0.262451f, 0.285645f, 0.309570f,
		0.334961f, 0.360596f, 0.387939f, 0.416016f, 0.444092f, 0.473145f, 0.501465f, 0.529785f, 0.558105f, 0.585938f, 0.614258f, 0.640137f,
		0.666992f, 0.692383f, 0.716797f, 0.739746f, 0.763184f, 0.784180f, 0.912109f, 0.918457f, 0.919434f, 0.919434f, 0.918457f, 0.917969f,
		0.000665f, 0.002039f, 0.003386f, 0.004520f, 0.005989f, 0.007511f, 0.009262f, 0.010902f, 0.012314f, 0.014320f, 0.015869f, 0.018127f,
		0.020248f, 0.022476f, 0.025284f, 0.028122f, 0.030991f, 0.034668f, 0.038239f, 0.042206f, 0.046539f, 0.051361f, 0.056610f, 0.062347f,
		0.068604f, 0.075623f, 0.083313f, 0.092041f, 0.101379f, 0.111572f, 0.122986f, 0.135132f, 0.148926f, 0.164062f, 0.180054f, 0.197510f,
		0.216797f, 0.237183f, 0.259521f, 0.282227f, 0.307129f, 0.332764f, 0.358887f, 0.386475f, 0.415527f, 0.443604f, 0.473389f, 0.501465f,
		0.530762f, 0.560059f, 0.588867f, 0.617676f, 0.645020f, 0.671387f, 0.698242f, 0.722656f, 0.746094f, 0.770020f, 0.906738f, 0.913574f,
		0.915039f, 0.914551f, 0.914062f, 0.914062f, 0.000661f, 0.001754f, 0.002831f, 0.004066f, 0.005333f, 0.006668f, 0.008286f, 0.009773f,
		0.011124f, 0.012794f, 0.014320f, 0.016357f, 0.018036f, 0.020386f, 0.022766f, 0.025192f, 0.027924f, 0.030807f, 0.034027f, 0.037628f,
		0.041321f, 0.045349f, 0.050262f, 0.055328f, 0.060699f, 0.066833f, 0.073669f, 0.081360f, 0.089600f, 0.099060f, 0.108826f, 0.119995f,
		0.132324f, 0.145874f, 0.160889f, 0.176880f, 0.194702f, 0.213379f, 0.234497f, 0.256104f, 0.280029f, 0.304688f, 0.330811f, 0.358154f,
		0.385986f, 0.415039f, 0.444092f, 0.474609f, 0.503418f, 0.534180f, 0.563965f, 0.592773f, 0.621094f, 0.650391f, 0.678223f, 0.704590f,
		0.730469f, 0.754883f, 0.901855f, 0.908691f, 0.910156f, 0.909668f, 0.909668f, 0.908691f, 0.000653f, 0.001667f, 0.002666f, 0.003887f,
		0.004986f, 0.006359f, 0.007202f, 0.008751f, 0.010300f, 0.011757f, 0.012939f, 0.014595f, 0.016281f, 0.018234f, 0.020142f, 0.022415f,
		0.025101f, 0.027466f, 0.030182f, 0.033539f, 0.036865f, 0.040680f, 0.044342f, 0.048798f, 0.053619f, 0.059479f, 0.065491f, 0.071716f,
		0.079285f, 0.087341f, 0.096497f, 0.106445f, 0.117615f, 0.129395f, 0.142822f, 0.157959f, 0.174194f, 0.192139f, 0.210938f, 0.231567f,
		0.253906f, 0.277832f, 0.302979f, 0.329590f, 0.357422f, 0.385986f, 0.415283f, 0.446045f, 0.475830f, 0.506348f, 0.537109f, 0.567871f,
		0.599121f, 0.628418f, 0.657227f, 0.685547f, 0.712891f, 0.739746f, 0.895508f, 0.902344f, 0.904297f, 0.904785f, 0.904297f, 0.904297f,
		0.000372f, 0.001397f, 0.002384f, 0.003529f, 0.004509f, 0.005505f, 0.007015f, 0.008026f, 0.009201f, 0.010292f, 0.011536f, 0.013130f,
		0.014915f, 0.016266f, 0.018387f, 0.020218f, 0.022034f, 0.024399f, 0.026901f, 0.029617f, 0.032623f, 0.035950f, 0.039032f, 0.043030f,
		0.047577f, 0.052612f, 0.057556f, 0.063477f, 0.070007f, 0.077209f, 0.085083f, 0.094177f, 0.103821f, 0.114563f, 0.126709f, 0.140015f,
		0.154785f, 0.171143f, 0.188477f, 0.208252f, 0.229004f, 0.251709f, 0.275879f, 0.302002f, 0.328613f, 0.356445f, 0.385986f, 0.416504f,
		0.447510f, 0.478760f, 0.510254f, 0.542480f, 0.573730f, 0.604980f, 0.635742f, 0.665527f, 0.694336f, 0.722656f, 0.887695f, 0.897949f,
		0.898926f, 0.899414f, 0.897949f, 0.898438f, 0.000661f, 0.001222f, 0.002275f, 0.003313f, 0.004181f, 0.005119f, 0.006275f, 0.007126f,
		0.007988f, 0.009354f, 0.010300f, 0.012062f, 0.013313f, 0.014786f, 0.016251f, 0.018021f, 0.019516f, 0.021896f, 0.024017f, 0.026428f,
		0.029022f, 0.031799f, 0.034698f, 0.038422f, 0.042236f, 0.046265f, 0.050598f, 0.055786f, 0.061493f, 0.067871f, 0.074951f, 0.082458f,
		0.091187f, 0.101135f, 0.111694f, 0.123779f, 0.137207f, 0.151978f, 0.167969f, 0.186157f, 0.205688f, 0.226929f, 0.249756f, 0.274658f,
		0.301025f, 0.328613f, 0.357178f, 0.387207f, 0.418457f, 0.450195f, 0.482422f, 0.516113f, 0.548340f, 0.580566f, 0.612305f, 0.644043f,
		0.674805f, 0.705566f, 0.882812f, 0.890625f, 0.892578f, 0.893066f, 0.892578f, 0.893066f, 0.000379f, 0.001211f, 0.002066f, 0.003040f,
		0.003834f, 0.004616f, 0.005608f, 0.006550f, 0.007347f, 0.008408f, 0.009529f, 0.010452f, 0.011940f, 0.013039f, 0.014313f, 0.015961f,
		0.017746f, 0.019180f, 0.021210f, 0.023239f, 0.025482f, 0.028030f, 0.030640f, 0.033661f, 0.036987f, 0.040466f, 0.044617f, 0.048828f,
		0.053894f, 0.059235f, 0.065674f, 0.072632f, 0.079956f, 0.089050f, 0.098267f, 0.109009f, 0.120789f, 0.134521f, 0.148926f, 0.165405f,
		0.183228f, 0.202881f, 0.224731f, 0.248779f, 0.273193f, 0.300049f, 0.329346f, 0.358887f, 0.390381f, 0.421387f, 0.454590f, 0.488770f,
		0.521484f, 0.555176f, 0.588379f, 0.621582f, 0.654785f, 0.686523f, 0.875488f, 0.885254f, 0.886719f, 0.886230f, 0.886719f, 0.886230f,
		0.000282f, 0.001126f, 0.002010f, 0.002661f, 0.003340f, 0.004269f, 0.005192f, 0.005711f, 0.006638f, 0.007278f, 0.008377f, 0.009483f,
		0.010567f, 0.011742f, 0.012871f, 0.014061f, 0.015480f, 0.017242f, 0.018799f, 0.020584f, 0.022461f, 0.024490f, 0.027100f, 0.029434f,
		0.032532f, 0.035706f, 0.038971f, 0.042969f, 0.047241f, 0.052094f, 0.057373f, 0.063232f, 0.070007f, 0.077637f, 0.086243f, 0.095764f,
		0.106323f, 0.118164f, 0.131470f, 0.146118f, 0.162720f, 0.181030f, 0.200928f, 0.223022f, 0.247070f, 0.272705f, 0.300537f, 0.330322f,
		0.360107f, 0.393066f, 0.426270f, 0.459473f, 0.494629f, 0.529297f, 0.564453f, 0.598633f, 0.633789f, 0.666504f, 0.868652f, 0.878418f,
		0.879395f, 0.880371f, 0.879883f, 0.879395f, 0.000340f, 0.000963f, 0.001826f, 0.002459f, 0.003307f, 0.003847f, 0.004719f, 0.004936f,
		0.005802f, 0.006695f, 0.007748f, 0.008522f, 0.009506f, 0.010376f, 0.011383f, 0.012787f, 0.013901f, 0.015182f, 0.016663f, 0.018051f,
		0.019821f, 0.021759f, 0.023590f, 0.025818f, 0.028519f, 0.030975f, 0.034210f, 0.037811f, 0.040802f, 0.045349f, 0.050201f, 0.055298f,
		0.061310f, 0.067688f, 0.074768f, 0.083557f, 0.092590f, 0.103149f, 0.115479f, 0.128906f, 0.142944f, 0.160278f, 0.178345f, 0.198975f,
		0.221802f, 0.246094f, 0.272949f, 0.301514f, 0.331543f, 0.363525f, 0.396729f, 0.430908f, 0.466553f, 0.501953f, 0.538086f, 0.574707f,
		0.610840f, 0.646973f, 0.860352f, 0.870605f, 0.873047f, 0.873047f, 0.873535f, 0.872559f, 0.000225f, 0.001021f, 0.001653f, 0.002302f,
		0.002827f, 0.003448f, 0.003937f, 0.004486f, 0.004986f, 0.006252f, 0.007000f, 0.007416f, 0.008224f, 0.009300f, 0.009972f, 0.011322f,
		0.012115f, 0.013428f, 0.014557f, 0.015991f, 0.017532f, 0.018982f, 0.020706f, 0.022781f, 0.024567f, 0.027161f, 0.029770f, 0.032623f,
		0.035828f, 0.039551f, 0.043030f, 0.047852f, 0.052795f, 0.058716f, 0.065125f, 0.072266f, 0.080566f, 0.089661f, 0.100403f, 0.112854f,
		0.125732f, 0.140991f, 0.157349f, 0.176514f, 0.197510f, 0.220581f, 0.245850f, 0.273438f, 0.302979f, 0.334717f, 0.367676f, 0.401855f,
		0.437256f, 0.474609f, 0.512695f, 0.549316f, 0.588379f, 0.625000f, 0.853027f, 0.863281f, 0.866211f, 0.866211f, 0.866699f, 0.866211f,
		0.000324f, 0.000845f, 0.001534f, 0.002172f, 0.002474f, 0.003115f, 0.003824f, 0.003937f, 0.004848f, 0.005417f, 0.006222f, 0.006760f,
		0.007446f, 0.008186f, 0.009102f, 0.009888f, 0.010620f, 0.011551f, 0.012878f, 0.013954f, 0.015106f, 0.016495f, 0.018143f, 0.019669f,
		0.021713f, 0.023468f, 0.025818f, 0.028183f, 0.031021f, 0.033783f, 0.037445f, 0.041534f, 0.045532f, 0.050598f, 0.056152f, 0.062500f,
		0.069580f, 0.077698f, 0.086914f, 0.097717f, 0.108948f, 0.123047f, 0.138184f, 0.155273f, 0.174438f, 0.196167f, 0.219604f, 0.246094f,
		0.274902f, 0.305420f, 0.338379f, 0.372314f, 0.408936f, 0.445801f, 0.484131f, 0.523438f, 0.562988f, 0.604492f, 0.843262f, 0.856445f,
		0.857422f, 0.857910f, 0.858398f, 0.858398f, 0.000331f, 0.000944f, 0.001288f, 0.001833f, 0.002388f, 0.002769f, 0.003216f, 0.003664f,
		0.004276f, 0.004822f, 0.005173f, 0.005951f, 0.006531f, 0.007156f, 0.007896f, 0.008438f, 0.009430f, 0.010117f, 0.011208f, 0.012253f,
		0.012970f, 0.014297f, 0.015572f, 0.017059f, 0.018692f, 0.020264f, 0.022125f, 0.024323f, 0.026474f, 0.029343f, 0.032288f, 0.035461f,
		0.039062f, 0.043335f, 0.047821f, 0.053558f, 0.059509f, 0.067078f, 0.074341f, 0.083862f, 0.094360f, 0.106323f, 0.120117f, 0.135254f,
		0.153442f, 0.172852f, 0.195190f, 0.220337f, 0.246948f, 0.276611f, 0.308594f, 0.343262f, 0.379150f, 0.416992f, 0.455811f, 0.496582f,
		0.537598f, 0.579590f, 0.834473f, 0.847656f, 0.850098f, 0.850098f, 0.849609f, 0.850098f, 0.000316f, 0.000824f, 0.001088f, 0.001693f,
		0.002062f, 0.002403f, 0.003027f, 0.003460f, 0.003712f, 0.004166f, 0.004765f, 0.005138f, 0.005871f, 0.006218f, 0.006924f, 0.007431f,
		0.008255f, 0.008850f, 0.009781f, 0.010590f, 0.011391f, 0.012367f, 0.013474f, 0.014709f, 0.015823f, 0.017685f, 0.018982f, 0.020844f,
		0.022629f, 0.025070f, 0.027496f, 0.030380f, 0.033447f, 0.037140f, 0.041168f, 0.045654f, 0.050720f, 0.057251f, 0.063965f, 0.071777f,
		0.080811f, 0.091248f, 0.103638f, 0.117126f, 0.133179f, 0.151001f, 0.171631f, 0.194580f, 0.220337f, 0.248413f, 0.279785f, 0.313965f,
		0.349365f, 0.386963f, 0.426514f, 0.468262f, 0.510742f, 0.555176f, 0.825684f, 0.838379f, 0.839844f, 0.841309f, 0.841309f, 0.841309f,
		0.000210f, 0.000717f, 0.001084f, 0.001454f, 0.001882f, 0.002096f, 0.002468f, 0.002996f, 0.003395f, 0.003632f, 0.004066f, 0.004467f,
		0.005020f, 0.005569f, 0.005917f, 0.006474f, 0.006958f, 0.007576f, 0.008453f, 0.009140f, 0.010002f, 0.010689f, 0.011520f, 0.012596f,
		0.013695f, 0.014938f, 0.016220f, 0.017593f, 0.019424f, 0.020996f, 0.023331f, 0.025696f, 0.028427f, 0.031067f, 0.034668f, 0.038422f,
		0.042908f, 0.048096f, 0.054016f, 0.060699f, 0.068909f, 0.077515f, 0.088501f, 0.100464f, 0.114624f, 0.130615f, 0.149048f, 0.170654f,
		0.194214f, 0.222046f, 0.251465f, 0.283936f, 0.319580f, 0.357422f, 0.397461f, 0.440186f, 0.484375f, 0.528320f, 0.814941f, 0.828613f,
		0.830078f, 0.832031f, 0.831543f, 0.833008f, 0.000234f, 0.000576f, 0.000939f, 0.001362f, 0.001481f, 0.001999f, 0.002228f, 0.002714f,
		0.002846f, 0.003218f, 0.003555f, 0.003933f, 0.004356f, 0.004787f, 0.005169f, 0.005604f, 0.006145f, 0.006554f, 0.007275f, 0.007675f,
		0.008293f, 0.009201f, 0.009979f, 0.010651f, 0.011497f, 0.012527f, 0.013893f, 0.014771f, 0.016373f, 0.017975f, 0.019455f, 0.021683f,
		0.023895f, 0.026077f, 0.029114f, 0.032257f, 0.036072f, 0.040405f, 0.045197f, 0.050903f, 0.057770f, 0.065613f, 0.074524f, 0.085388f,
		0.097656f, 0.111694f, 0.128540f, 0.147949f, 0.170166f, 0.195435f, 0.223389f, 0.255127f, 0.289551f, 0.327393f, 0.367432f, 0.410400f,
		0.455078f, 0.502441f, 0.804199f, 0.818848f, 0.821289f, 0.822266f, 0.822754f, 0.822266f, 0.000213f, 0.000506f, 0.000756f, 0.001184f,
		0.001396f, 0.001697f, 0.002010f, 0.002474f, 0.002569f, 0.002918f, 0.003090f, 0.003496f, 0.003855f, 0.004139f, 0.004478f, 0.004852f,
		0.005253f, 0.005665f, 0.006100f, 0.006638f, 0.007080f, 0.007744f, 0.008293f, 0.009132f, 0.009750f, 0.010658f, 0.011536f, 0.012413f,
		0.013779f, 0.014908f, 0.016510f, 0.017990f, 0.019623f, 0.021637f, 0.024109f, 0.026718f, 0.029922f, 0.033539f, 0.037567f, 0.042572f,
		0.048279f, 0.054413f, 0.062042f, 0.071472f, 0.081909f, 0.094604f, 0.109436f, 0.127075f, 0.146484f, 0.170044f, 0.196533f, 0.226929f,
		0.260254f, 0.296875f, 0.337402f, 0.380615f, 0.426025f, 0.475342f, 0.792969f, 0.807617f, 0.811035f, 0.811523f, 0.812012f, 0.813477f,
		0.000119f, 0.000422f, 0.000883f, 0.001027f, 0.001189f, 0.001604f, 0.001783f, 0.001913f, 0.002228f, 0.002522f, 0.002645f, 0.003086f,
		0.003199f, 0.003534f, 0.003790f, 0.004105f, 0.004421f, 0.004902f, 0.005283f, 0.005589f, 0.006039f, 0.006401f, 0.007088f, 0.007519f,
		0.008217f, 0.008812f, 0.009712f, 0.010460f, 0.011337f, 0.012413f, 0.013596f, 0.014687f, 0.016159f, 0.018051f, 0.019913f, 0.022018f,
		0.024551f, 0.027359f, 0.030792f, 0.035065f, 0.039703f, 0.044983f, 0.051392f, 0.059204f, 0.068176f, 0.079102f, 0.092041f, 0.106873f,
		0.125000f, 0.145874f, 0.170532f, 0.198975f, 0.230835f, 0.267090f, 0.306641f, 0.349854f, 0.395508f, 0.445801f, 0.780762f, 0.796875f,
		0.799805f, 0.801270f, 0.801270f, 0.801270f, 0.000227f, 0.000521f, 0.000698f, 0.000817f, 0.001236f, 0.001359f, 0.001540f, 0.001619f,
		0.001940f, 0.002089f, 0.002430f, 0.002552f, 0.002655f, 0.002932f, 0.003241f, 0.003532f, 0.003841f, 0.004120f, 0.004292f, 0.004761f,
		0.005051f, 0.005459f, 0.005886f, 0.006290f, 0.006821f, 0.007320f, 0.007889f, 0.008652f, 0.009399f, 0.010063f, 0.010887f, 0.012215f,
		0.013206f, 0.014648f, 0.016037f, 0.017853f, 0.019958f, 0.022491f, 0.024994f, 0.028091f, 0.032135f, 0.036530f, 0.041809f, 0.048096f,
		0.055908f, 0.064941f, 0.076050f, 0.089050f, 0.104980f, 0.123596f, 0.146118f, 0.172363f, 0.203003f, 0.237183f, 0.276123f, 0.318359f,
		0.365479f, 0.416504f, 0.768555f, 0.784668f, 0.788086f, 0.789551f, 0.790039f, 0.790039f, 0.000000f, 0.000448f, 0.000566f, 0.000688f,
		0.000985f, 0.001144f, 0.001305f, 0.001437f, 0.001622f, 0.001731f, 0.001989f, 0.002174f, 0.002338f, 0.002552f, 0.002739f, 0.002924f,
		0.003239f, 0.003405f, 0.003628f, 0.003933f, 0.004200f, 0.004463f, 0.004948f, 0.005245f, 0.005615f, 0.006138f, 0.006699f, 0.006989f,
		0.007793f, 0.008247f, 0.008980f, 0.009918f, 0.010857f, 0.011795f, 0.013016f, 0.014244f, 0.015930f, 0.017868f, 0.019882f, 0.022659f,
		0.025543f, 0.029160f, 0.033417f, 0.038635f, 0.044983f, 0.052338f, 0.061859f, 0.072693f, 0.086487f, 0.102966f, 0.122864f, 0.146973f,
		0.175049f, 0.207764f, 0.245605f, 0.287842f, 0.334229f, 0.385986f, 0.755371f, 0.771973f, 0.775879f, 0.777344f, 0.777832f, 0.778809f,
		0.000000f, 0.000303f, 0.000512f, 0.000752f, 0.000828f, 0.001036f, 0.001184f, 0.001292f, 0.001281f, 0.001460f, 0.001717f, 0.001843f,
		0.001955f, 0.002060f, 0.002317f, 0.002476f, 0.002542f, 0.002869f, 0.003088f, 0.003313f, 0.003559f, 0.003693f, 0.004082f, 0.004318f,
		0.004696f, 0.005070f, 0.005245f, 0.005741f, 0.006126f, 0.006771f, 0.007298f, 0.007828f, 0.008583f, 0.009338f, 0.010246f, 0.011528f,
		0.012794f, 0.014160f, 0.015717f, 0.017853f, 0.019958f, 0.022995f, 0.026291f, 0.030533f, 0.035553f, 0.041565f, 0.048981f, 0.058350f,
		0.069824f, 0.083801f, 0.101685f, 0.122437f, 0.148438f, 0.178833f, 0.215454f, 0.256104f, 0.302490f, 0.354736f, 0.741699f, 0.758789f,
		0.762695f, 0.763672f, 0.764648f, 0.765625f, 0.000097f, 0.000306f, 0.000370f, 0.000618f, 0.000713f, 0.000810f, 0.000953f, 0.000920f,
		0.001167f, 0.001238f, 0.001406f, 0.001483f, 0.001540f, 0.001794f, 0.001970f, 0.002028f, 0.002264f, 0.002354f, 0.002459f, 0.002636f,
		0.002827f, 0.003096f, 0.003342f, 0.003544f, 0.003881f, 0.003948f, 0.004459f, 0.004742f, 0.005005f, 0.005394f, 0.005867f, 0.006374f,
		0.006901f, 0.007507f, 0.008202f, 0.008881f, 0.010017f, 0.010986f, 0.012451f, 0.013809f, 0.015511f, 0.017776f, 0.020325f, 0.023453f,
		0.027390f, 0.032349f, 0.038330f, 0.045624f, 0.055359f, 0.067078f, 0.082275f, 0.101013f, 0.123657f, 0.151611f, 0.185791f, 0.225342f,
		0.270752f, 0.322754f, 0.727051f, 0.746094f, 0.749512f, 0.750977f, 0.751953f, 0.751953f, 0.000228f, 0.000211f, 0.000504f, 0.000443f,
		0.000523f, 0.000672f, 0.000703f, 0.000902f, 0.000975f, 0.001010f, 0.001122f, 0.001178f, 0.001257f, 0.001424f, 0.001575f, 0.001631f,
		0.001789f, 0.001910f, 0.002090f, 0.002144f, 0.002411f, 0.002520f, 0.002703f, 0.002827f, 0.003010f, 0.003195f, 0.003403f, 0.003750f,
		0.003960f, 0.004276f, 0.004780f, 0.005005f, 0.005432f, 0.005981f, 0.006428f, 0.007015f, 0.007812f, 0.008537f, 0.009415f, 0.010658f,
		0.011963f, 0.013443f, 0.015396f, 0.017731f, 0.020782f, 0.024414f, 0.029083f, 0.034912f, 0.042572f, 0.052216f, 0.064392f, 0.080017f,
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		0.333496f, 0.362061f, 0.390869f, 0.417969f, 0.445068f, 0.471191f, 0.496582f, 0.520508f, 0.543457f, 0.566895f, 0.588867f, 0.608398f,
		0.628906f, 0.648438f, 0.666992f, 0.684570f, 0.701660f, 0.716797f, 0.732422f, 0.746582f, 0.760254f, 0.773438f, 0.786133f, 0.798340f,
		0.810547f, 0.821777f, 0.832520f, 0.842773f, 0.851074f, 0.860352f, 0.869629f, 0.878906f, 0.886230f, 0.894043f, 0.901855f, 0.908691f,
		0.915527f, 0.922363f, 0.928223f, 0.935059f, 0.939941f, 0.945312f, 0.950684f, 0.956055f, 0.962402f, 0.966797f, 0.982910f, 0.979980f,
		0.977051f, 0.973633f, 0.970703f, 0.968262f, 0.008598f, 0.027328f, 0.046417f, 0.067871f, 0.089905f, 0.113220f, 0.137695f, 0.163330f,
		0.189087f, 0.216064f, 0.243164f, 0.270752f, 0.298340f, 0.326416f, 0.354004f, 0.381348f, 0.407715f, 0.434082f, 0.460205f, 0.484863f,
		0.508789f, 0.532227f, 0.555176f, 0.577637f, 0.598145f, 0.618652f, 0.637695f, 0.657227f, 0.674805f, 0.691406f, 0.708008f, 0.723633f,
		0.738770f, 0.751953f, 0.766113f, 0.779785f, 0.791992f, 0.804199f, 0.815918f, 0.825684f, 0.836914f, 0.846680f, 0.856934f, 0.866211f,
		0.874512f, 0.882324f, 0.890625f, 0.898438f, 0.905273f, 0.913086f, 0.919922f, 0.926758f, 0.933105f, 0.938477f, 0.944824f, 0.951172f,
		0.955566f, 0.960938f, 0.980469f, 0.978027f, 0.974609f, 0.972168f, 0.969238f, 0.966797f, 0.007561f, 0.023315f, 0.040344f, 0.058228f,
		0.077148f, 0.097534f, 0.119995f, 0.142212f, 0.165649f, 0.190063f, 0.214722f, 0.240601f, 0.266846f, 0.293457f, 0.319824f, 0.346924f,
		0.372314f, 0.398438f, 0.424561f, 0.449463f, 0.474609f, 0.498535f, 0.521973f, 0.544434f, 0.566895f, 0.587402f, 0.608398f, 0.628418f,
		0.645996f, 0.665039f, 0.683105f, 0.699219f, 0.716309f, 0.731445f, 0.745117f, 0.760254f, 0.772949f, 0.786133f, 0.799316f, 0.809570f,
		0.820801f, 0.832031f, 0.843262f, 0.852051f, 0.861816f, 0.871094f, 0.880371f, 0.887695f, 0.895996f, 0.904297f, 0.911133f, 0.917969f,
		0.924805f, 0.931641f, 0.937012f, 0.943848f, 0.949707f, 0.954590f, 0.978027f, 0.976074f, 0.973145f, 0.970215f, 0.967773f, 0.965332f,
		0.006416f, 0.020065f, 0.034943f, 0.050537f, 0.067078f, 0.084900f, 0.104065f, 0.123962f, 0.145264f, 0.166748f, 0.189575f, 0.213501f,
		0.237305f, 0.262451f, 0.288574f, 0.313477f, 0.338623f, 0.364502f, 0.389893f, 0.414551f, 0.440186f, 0.464600f, 0.487549f, 0.510742f,
		0.534668f, 0.556641f, 0.578613f, 0.598145f, 0.618652f, 0.637207f, 0.655273f, 0.674805f, 0.690430f, 0.707031f, 0.724121f, 0.739258f,
		0.752930f, 0.767090f, 0.779785f, 0.792969f, 0.805176f, 0.816895f, 0.827637f, 0.838379f, 0.849121f, 0.858398f, 0.868652f, 0.876465f,
		0.885742f, 0.894043f, 0.901855f, 0.909180f, 0.916992f, 0.923828f, 0.930176f, 0.937012f, 0.943359f, 0.949707f, 0.975586f, 0.973633f,
		0.971191f, 0.968262f, 0.965820f, 0.963379f, 0.005802f, 0.017502f, 0.030045f, 0.043823f, 0.058014f, 0.074280f, 0.090759f, 0.108459f,
		0.127197f, 0.146484f, 0.167725f, 0.189087f, 0.211304f, 0.234497f, 0.258301f, 0.282471f, 0.307373f, 0.331299f, 0.356689f, 0.381104f,
		0.405762f, 0.430420f, 0.455078f, 0.478516f, 0.502441f, 0.524414f, 0.545898f, 0.568359f, 0.588867f, 0.608887f, 0.628906f, 0.646973f,
		0.665527f, 0.684082f, 0.701172f, 0.715820f, 0.731934f, 0.746582f, 0.760742f, 0.774414f, 0.787598f, 0.800781f, 0.812500f, 0.823730f,
		0.834961f, 0.845703f, 0.855469f, 0.865234f, 0.874512f, 0.883789f, 0.892090f, 0.899902f, 0.908203f, 0.916016f, 0.922852f, 0.930176f,
		0.936523f, 0.942871f, 0.972656f, 0.971191f, 0.968750f, 0.966309f, 0.963867f, 0.961426f, 0.004734f, 0.014984f, 0.026169f, 0.038177f,
		0.051208f, 0.065186f, 0.079468f, 0.095276f, 0.111633f, 0.129639f, 0.148071f, 0.167969f, 0.188599f, 0.208984f, 0.231689f, 0.254639f,
		0.277832f, 0.301025f, 0.325439f, 0.349854f, 0.373779f, 0.397705f, 0.422607f, 0.446045f, 0.469727f, 0.492676f, 0.514648f, 0.537598f,
		0.559570f, 0.580078f, 0.600586f, 0.620117f, 0.639648f, 0.658203f, 0.676758f, 0.692871f, 0.708984f, 0.725586f, 0.740723f, 0.755859f,
		0.769531f, 0.783691f, 0.796875f, 0.808594f, 0.820801f, 0.832520f, 0.842285f, 0.852539f, 0.862793f, 0.872070f, 0.881836f, 0.890137f,
		0.898926f, 0.906738f, 0.915039f, 0.922363f, 0.929199f, 0.936523f, 0.969727f, 0.968750f, 0.966797f, 0.964355f, 0.961914f, 0.959473f,
		0.004055f, 0.013588f, 0.023132f, 0.033722f, 0.044891f, 0.057343f, 0.069763f, 0.083923f, 0.098389f, 0.114441f, 0.131226f, 0.148682f,
		0.167603f, 0.186768f, 0.207031f, 0.228516f, 0.250732f, 0.272949f, 0.295410f, 0.318604f, 0.342285f, 0.365967f, 0.390381f, 0.413574f,
		0.437744f, 0.460938f, 0.484131f, 0.506348f, 0.528320f, 0.550781f, 0.572266f, 0.592773f, 0.613281f, 0.632812f, 0.651367f, 0.669922f,
		0.687500f, 0.704102f, 0.720215f, 0.735840f, 0.751465f, 0.764160f, 0.778809f, 0.792480f, 0.803711f, 0.816895f, 0.829102f, 0.840332f,
		0.850586f, 0.860352f, 0.870605f, 0.880371f, 0.889648f, 0.897949f, 0.905762f, 0.914551f, 0.922363f, 0.929199f, 0.967285f, 0.966797f,
		0.964844f, 0.961426f, 0.959473f, 0.958008f, 0.003611f, 0.011971f, 0.020401f, 0.030029f, 0.039185f, 0.050415f, 0.061737f, 0.074341f,
		0.086975f, 0.101074f, 0.115845f, 0.131958f, 0.148682f, 0.166626f, 0.185059f, 0.205200f, 0.224854f, 0.245483f, 0.267334f, 0.290771f,
		0.312988f, 0.335449f, 0.359619f, 0.382080f, 0.406250f, 0.429443f, 0.452881f, 0.475830f, 0.498779f, 0.520996f, 0.542480f, 0.563477f,
		0.584473f, 0.604980f, 0.625977f, 0.643555f, 0.663086f, 0.681152f, 0.698242f, 0.714355f, 0.729980f, 0.746582f, 0.760742f, 0.774902f,
		0.788086f, 0.801758f, 0.814941f, 0.826660f, 0.838867f, 0.848633f, 0.859863f, 0.869141f, 0.879395f, 0.889160f, 0.897949f, 0.906250f,
		0.914551f, 0.922363f, 0.963867f, 0.964355f, 0.961914f, 0.959961f, 0.957520f, 0.955078f, 0.003393f, 0.010361f, 0.018494f, 0.026337f,
		0.035187f, 0.044556f, 0.054596f, 0.065186f, 0.077515f, 0.089783f, 0.102783f, 0.117249f, 0.132446f, 0.148071f, 0.165649f, 0.183838f,
		0.202026f, 0.221313f, 0.241943f, 0.262939f, 0.285156f, 0.307129f, 0.329102f, 0.352539f, 0.375977f, 0.398438f, 0.421875f, 0.445312f,
		0.468750f, 0.490723f, 0.512695f, 0.534668f, 0.556641f, 0.577637f, 0.598633f, 0.619141f, 0.637695f, 0.656738f, 0.674805f, 0.692383f,
		0.709473f, 0.726074f, 0.742188f, 0.756836f, 0.771973f, 0.786133f, 0.799316f, 0.812012f, 0.824707f, 0.835938f, 0.848145f, 0.858887f,
		0.868164f, 0.878906f, 0.888184f, 0.897949f, 0.906250f, 0.914551f, 0.960938f, 0.960938f, 0.959473f, 0.957520f, 0.955078f, 0.953125f,
		0.003084f, 0.009521f, 0.016144f, 0.023346f, 0.031204f, 0.039520f, 0.048523f, 0.057953f, 0.068359f, 0.079895f, 0.091309f, 0.104126f,
		0.117920f, 0.132324f, 0.147949f, 0.164062f, 0.181396f, 0.199219f, 0.218872f, 0.238403f, 0.258545f, 0.279541f, 0.301758f, 0.323486f,
		0.346191f, 0.368408f, 0.391846f, 0.414795f, 0.437256f, 0.460693f, 0.483643f, 0.505371f, 0.527832f, 0.550293f, 0.571289f, 0.591797f,
		0.612305f, 0.632324f, 0.651855f, 0.670898f, 0.687500f, 0.705566f, 0.722168f, 0.737793f, 0.753418f, 0.768555f, 0.783691f, 0.796875f,
		0.811035f, 0.823242f, 0.834473f, 0.846191f, 0.857422f, 0.868652f, 0.878418f, 0.887695f, 0.897949f, 0.906250f, 0.958008f, 0.958008f,
		0.957031f, 0.954590f, 0.952637f, 0.950684f, 0.002666f, 0.008293f, 0.014297f, 0.021225f, 0.027847f, 0.035156f, 0.043274f, 0.051666f,
		0.060791f, 0.070801f, 0.081543f, 0.092407f, 0.104858f, 0.118530f, 0.131836f, 0.146606f, 0.162598f, 0.179443f, 0.196777f, 0.215210f,
		0.234375f, 0.254150f, 0.274414f, 0.295898f, 0.317871f, 0.340088f, 0.362549f, 0.385010f, 0.407959f, 0.430664f, 0.454590f, 0.476562f,
		0.499268f, 0.521484f, 0.543945f, 0.564941f, 0.585938f, 0.606934f, 0.626465f, 0.646484f, 0.665527f, 0.683594f, 0.701660f, 0.717773f,
		0.735352f, 0.751465f, 0.766113f, 0.781738f, 0.794922f, 0.808105f, 0.821289f, 0.833496f, 0.846191f, 0.857910f, 0.868164f, 0.878906f,
		0.889160f, 0.899414f, 0.954102f, 0.955566f, 0.953613f, 0.952148f, 0.950195f, 0.948730f, 0.002396f, 0.007427f, 0.012978f, 0.018646f,
		0.025024f, 0.031403f, 0.038788f, 0.046112f, 0.054260f, 0.063354f, 0.072693f, 0.082886f, 0.093689f, 0.105469f, 0.118164f, 0.130859f,
		0.145996f, 0.161011f, 0.177124f, 0.193359f, 0.211670f, 0.230225f, 0.249634f, 0.270020f, 0.290771f, 0.311768f, 0.333740f, 0.356201f,
		0.378906f, 0.401855f, 0.424561f, 0.447754f, 0.470215f, 0.493408f, 0.515137f, 0.537109f, 0.559570f, 0.580078f, 0.601074f, 0.621582f,
		0.642090f, 0.661621f, 0.679688f, 0.697754f, 0.715820f, 0.732422f, 0.749512f, 0.765137f, 0.779785f, 0.794434f, 0.808594f, 0.821289f,
		0.833496f, 0.846191f, 0.857910f, 0.869141f, 0.879883f, 0.889648f, 0.950195f, 0.952637f, 0.950684f, 0.948730f, 0.947266f, 0.945801f,
		0.002029f, 0.006672f, 0.011658f, 0.016937f, 0.022476f, 0.028305f, 0.034332f, 0.041351f, 0.048584f, 0.056671f, 0.064697f, 0.073853f,
		0.083923f, 0.094482f, 0.105225f, 0.117798f, 0.130615f, 0.144287f, 0.159302f, 0.174683f, 0.190430f, 0.208740f, 0.226318f, 0.245483f,
		0.264893f, 0.285400f, 0.307129f, 0.328369f, 0.350342f, 0.372803f, 0.395264f, 0.418701f, 0.441650f, 0.462891f, 0.486816f, 0.509277f,
		0.532227f, 0.553711f, 0.575684f, 0.596680f, 0.617676f, 0.638672f, 0.657715f, 0.676758f, 0.695312f, 0.712402f, 0.729492f, 0.746582f,
		0.762695f, 0.778320f, 0.793457f, 0.807129f, 0.820801f, 0.833984f, 0.846191f, 0.858887f, 0.869629f, 0.881836f, 0.947266f, 0.949219f,
		0.947754f, 0.946289f, 0.944824f, 0.942871f, 0.002142f, 0.006401f, 0.010841f, 0.015251f, 0.019760f, 0.025055f, 0.031113f, 0.037201f,
		0.043671f, 0.050598f, 0.057892f, 0.066101f, 0.075012f, 0.084351f, 0.093994f, 0.105164f, 0.117432f, 0.129517f, 0.142822f, 0.157104f,
		0.172119f, 0.188110f, 0.204956f, 0.223145f, 0.241577f, 0.260498f, 0.280762f, 0.301758f, 0.322998f, 0.345215f, 0.366943f, 0.389893f,
		0.412842f, 0.435791f, 0.458008f, 0.482178f, 0.504395f, 0.526855f, 0.548828f, 0.571289f, 0.592285f, 0.612793f, 0.634277f, 0.654297f,
		0.673340f, 0.692383f, 0.710938f, 0.729004f, 0.745117f, 0.762207f, 0.777832f, 0.792480f, 0.807129f, 0.821289f, 0.834961f, 0.847168f,
		0.859863f, 0.871582f, 0.943359f, 0.946289f, 0.944824f, 0.943359f, 0.941895f, 0.940430f, 0.001760f, 0.005562f, 0.009621f, 0.013710f,
		0.018417f, 0.022736f, 0.027939f, 0.033264f, 0.039185f, 0.045166f, 0.052460f, 0.059143f, 0.067261f, 0.075745f, 0.084106f, 0.094177f,
		0.104980f, 0.116455f, 0.128174f, 0.141113f, 0.155151f, 0.169922f, 0.184937f, 0.201660f, 0.219238f, 0.237549f, 0.256348f, 0.276367f,
		0.296875f, 0.317871f, 0.339844f, 0.361572f, 0.383789f, 0.407227f, 0.430908f, 0.453857f, 0.476807f, 0.498779f, 0.521973f, 0.543945f,
		0.567383f, 0.589355f, 0.609863f, 0.631348f, 0.651855f, 0.671875f, 0.690918f, 0.709961f, 0.727539f, 0.744141f, 0.761719f, 0.777344f,
		0.793457f, 0.808594f, 0.823242f, 0.835449f, 0.848633f, 0.861328f, 0.938965f, 0.941895f, 0.941406f, 0.940430f, 0.938477f, 0.937012f,
		0.001594f, 0.005283f, 0.008789f, 0.012383f, 0.016342f, 0.020523f, 0.025284f, 0.029968f, 0.035217f, 0.040741f, 0.046417f, 0.052948f,
		0.060120f, 0.067566f, 0.076294f, 0.084534f, 0.093750f, 0.104614f, 0.115173f, 0.126831f, 0.139160f, 0.152832f, 0.166748f, 0.181885f,
		0.198853f, 0.215698f, 0.233521f, 0.252197f, 0.271973f, 0.291992f, 0.313477f, 0.334717f, 0.357178f, 0.379395f, 0.401855f, 0.425537f,
		0.448242f, 0.471924f, 0.495361f, 0.517578f, 0.541016f, 0.562988f, 0.585938f, 0.607422f, 0.627930f, 0.649414f, 0.670410f, 0.688965f,
		0.708496f, 0.727539f, 0.744629f, 0.761719f, 0.778809f, 0.794922f, 0.809082f, 0.824219f, 0.838379f, 0.851074f, 0.935059f, 0.938965f,
		0.937988f, 0.937012f, 0.936035f, 0.933594f, 0.001564f, 0.004665f, 0.007973f, 0.011276f, 0.014908f, 0.018600f, 0.022675f, 0.027176f,
		0.031464f, 0.036621f, 0.042023f, 0.047974f, 0.054108f, 0.060822f, 0.068237f, 0.075684f, 0.084229f, 0.093567f, 0.103210f, 0.113892f,
		0.125000f, 0.137329f, 0.150269f, 0.164307f, 0.179810f, 0.194946f, 0.212158f, 0.229248f, 0.247925f, 0.267578f, 0.287842f, 0.308350f,
		0.330322f, 0.352051f, 0.374756f, 0.397461f, 0.420654f, 0.444092f, 0.466797f, 0.490723f, 0.514160f, 0.537109f, 0.560059f, 0.582031f,
		0.604980f, 0.626953f, 0.648926f, 0.668457f, 0.688477f, 0.708008f, 0.727539f, 0.745117f, 0.763672f, 0.779297f, 0.795410f, 0.811523f,
		0.826660f, 0.840332f, 0.930664f, 0.934570f, 0.934082f, 0.933594f, 0.932129f, 0.930664f, 0.001424f, 0.004261f, 0.007122f, 0.010239f,
		0.013374f, 0.016693f, 0.020401f, 0.024368f, 0.028595f, 0.033325f, 0.037964f, 0.043152f, 0.048340f, 0.054962f, 0.060730f, 0.067749f,
		0.075684f, 0.083862f, 0.092041f, 0.102051f, 0.112305f, 0.123657f, 0.135376f, 0.148071f, 0.161987f, 0.176270f, 0.192139f, 0.208252f,
		0.226196f, 0.244141f, 0.263672f, 0.283447f, 0.304199f, 0.325195f, 0.346924f, 0.370605f, 0.392822f, 0.416260f, 0.439209f, 0.463623f,
		0.486084f, 0.511230f, 0.534180f, 0.558105f, 0.580566f, 0.603516f, 0.625000f, 0.647461f, 0.668457f, 0.688965f, 0.708496f, 0.727539f,
		0.746582f, 0.764160f, 0.781738f, 0.798340f, 0.813477f, 0.829590f, 0.926758f, 0.931152f, 0.930664f, 0.929199f, 0.928223f, 0.927246f,
		0.001294f, 0.004196f, 0.006538f, 0.009346f, 0.012306f, 0.015335f, 0.018845f, 0.022003f, 0.025558f, 0.029816f, 0.034149f, 0.038605f,
		0.043915f, 0.049042f, 0.054810f, 0.061188f, 0.067993f, 0.075256f, 0.083130f, 0.091553f, 0.100769f, 0.110779f, 0.121643f, 0.133057f,
		0.145630f, 0.159058f, 0.173218f, 0.188721f, 0.204590f, 0.222290f, 0.240234f, 0.259277f, 0.279053f, 0.299561f, 0.321533f, 0.343506f,
		0.365723f, 0.389404f, 0.412354f, 0.436035f, 0.459961f, 0.484131f, 0.508301f, 0.532227f, 0.555176f, 0.579102f, 0.601562f, 0.624512f,
		0.646484f, 0.668457f, 0.688965f, 0.709473f, 0.729004f, 0.748047f, 0.766602f, 0.784668f, 0.800293f, 0.817383f, 0.921875f, 0.926270f,
		0.926270f, 0.925781f, 0.924316f, 0.923340f, 0.001081f, 0.003603f, 0.006027f, 0.008575f, 0.010979f, 0.013847f, 0.016937f, 0.020020f,
		0.023315f, 0.026917f, 0.030930f, 0.035156f, 0.039429f, 0.044098f, 0.049622f, 0.054779f, 0.060791f, 0.067566f, 0.074341f, 0.082336f,
		0.090515f, 0.099548f, 0.109070f, 0.119263f, 0.130981f, 0.143188f, 0.156250f, 0.170288f, 0.185303f, 0.201294f, 0.218262f, 0.236450f,
		0.255615f, 0.275391f, 0.295654f, 0.316895f, 0.339111f, 0.362061f, 0.385498f, 0.408936f, 0.432861f, 0.457275f, 0.481689f, 0.505371f,
		0.529785f, 0.553711f, 0.577637f, 0.601074f, 0.624023f, 0.646484f, 0.669434f, 0.689941f, 0.711426f, 0.731445f, 0.750977f, 0.770020f,
		0.787598f, 0.804688f, 0.916992f, 0.922363f, 0.922363f, 0.921875f, 0.920898f, 0.918945f, 0.001064f, 0.003231f, 0.005322f, 0.007710f,
		0.010323f, 0.012489f, 0.015244f, 0.018051f, 0.020798f, 0.024338f, 0.027893f, 0.031738f, 0.035553f, 0.039795f, 0.044495f, 0.049133f,
		0.054657f, 0.060608f, 0.066895f, 0.073792f, 0.081421f, 0.089050f, 0.097717f, 0.106934f, 0.117554f, 0.128540f, 0.140503f, 0.153442f,
		0.167236f, 0.182129f, 0.197998f, 0.214966f, 0.232422f, 0.251465f, 0.271240f, 0.291992f, 0.313232f, 0.335693f, 0.358643f, 0.382080f,
		0.406006f, 0.430176f, 0.454590f, 0.479004f, 0.503906f, 0.528320f, 0.552734f, 0.577637f, 0.601562f, 0.625000f, 0.648438f, 0.670898f,
		0.691895f, 0.713867f, 0.733887f, 0.754883f, 0.774414f, 0.791992f, 0.912109f, 0.917969f, 0.918457f, 0.916992f, 0.916016f, 0.915039f,
		0.000998f, 0.003012f, 0.005123f, 0.007114f, 0.009438f, 0.011360f, 0.013763f, 0.016510f, 0.018951f, 0.022171f, 0.025101f, 0.028305f,
		0.031830f, 0.035736f, 0.039795f, 0.044067f, 0.048950f, 0.053864f, 0.059601f, 0.066345f, 0.072815f, 0.079956f, 0.087402f, 0.096375f,
		0.105835f, 0.115479f, 0.126343f, 0.138184f, 0.150635f, 0.164062f, 0.178711f, 0.194214f, 0.210815f, 0.229004f, 0.247314f, 0.267090f,
		0.288330f, 0.309570f, 0.332275f, 0.355469f, 0.378418f, 0.402832f, 0.427490f, 0.452637f, 0.477783f, 0.501953f, 0.527832f, 0.552734f,
		0.577637f, 0.602051f, 0.626465f, 0.649902f, 0.672852f, 0.695312f, 0.717773f, 0.737793f, 0.758789f, 0.778809f, 0.906250f, 0.913086f,
		0.913574f, 0.912598f, 0.911621f, 0.910645f, 0.001059f, 0.002985f, 0.004475f, 0.006496f, 0.008545f, 0.010300f, 0.012581f, 0.014969f,
		0.017471f, 0.019852f, 0.022507f, 0.025864f, 0.028824f, 0.032135f, 0.036041f, 0.039795f, 0.043884f, 0.048706f, 0.053680f, 0.059113f,
		0.064819f, 0.071472f, 0.078491f, 0.086365f, 0.094360f, 0.103577f, 0.113403f, 0.124023f, 0.135620f, 0.147705f, 0.160889f, 0.175537f,
		0.191284f, 0.207764f, 0.225464f, 0.244263f, 0.264160f, 0.284912f, 0.306641f, 0.329102f, 0.352295f, 0.376465f, 0.400635f, 0.426025f,
		0.451416f, 0.476562f, 0.502930f, 0.527344f, 0.553711f, 0.579102f, 0.603027f, 0.627930f, 0.652344f, 0.675781f, 0.700195f, 0.722168f,
		0.742676f, 0.764648f, 0.901367f, 0.907715f, 0.908691f, 0.908203f, 0.907227f, 0.906250f, 0.000988f, 0.002577f, 0.004124f, 0.006042f,
		0.007603f, 0.009506f, 0.011299f, 0.013680f, 0.015778f, 0.017883f, 0.020554f, 0.023102f, 0.025940f, 0.028946f, 0.031891f, 0.035431f,
		0.039825f, 0.043671f, 0.048157f, 0.053009f, 0.058075f, 0.063782f, 0.069885f, 0.077087f, 0.084839f, 0.092712f, 0.101379f, 0.110779f,
		0.121155f, 0.132446f, 0.144775f, 0.157837f, 0.172363f, 0.187744f, 0.204590f, 0.222290f, 0.240601f, 0.260254f, 0.281494f, 0.303223f,
		0.325439f, 0.349609f, 0.373535f, 0.399170f, 0.424561f, 0.450439f, 0.475586f, 0.501953f, 0.528320f, 0.554688f, 0.580566f, 0.605957f,
		0.630859f, 0.656250f, 0.680176f, 0.704102f, 0.727051f, 0.749512f, 0.895508f, 0.902344f, 0.903320f, 0.902832f, 0.901855f, 0.901855f,
		0.000842f, 0.002253f, 0.003597f, 0.005352f, 0.007195f, 0.008804f, 0.010460f, 0.012100f, 0.014130f, 0.016281f, 0.018341f, 0.021057f,
		0.023193f, 0.025742f, 0.029022f, 0.031830f, 0.035278f, 0.039246f, 0.042999f, 0.047211f, 0.052032f, 0.056946f, 0.062744f, 0.068848f,
		0.075195f, 0.082642f, 0.090332f, 0.099060f, 0.108215f, 0.118469f, 0.129517f, 0.141724f, 0.154907f, 0.169434f, 0.184448f, 0.201172f,
		0.218506f, 0.237427f, 0.257324f, 0.278320f, 0.300293f, 0.323242f, 0.347412f, 0.372070f, 0.397217f, 0.423340f, 0.449707f, 0.476807f,
		0.502930f, 0.529785f, 0.556641f, 0.582520f, 0.609863f, 0.635254f, 0.660645f, 0.686035f, 0.710938f, 0.733887f, 0.889648f, 0.897461f,
		0.898926f, 0.896973f, 0.896973f, 0.896484f, 0.000660f, 0.002014f, 0.003531f, 0.004951f, 0.006424f, 0.007935f, 0.009392f, 0.011322f,
		0.012924f, 0.014824f, 0.016754f, 0.018906f, 0.020935f, 0.023376f, 0.026245f, 0.028809f, 0.031860f, 0.034821f, 0.038330f, 0.042236f,
		0.046387f, 0.050812f, 0.056061f, 0.061279f, 0.066956f, 0.073547f, 0.080566f, 0.088074f, 0.096802f, 0.106079f, 0.116089f, 0.127075f,
		0.138672f, 0.151855f, 0.165649f, 0.180908f, 0.197754f, 0.215332f, 0.234375f, 0.254150f, 0.275391f, 0.298096f, 0.321533f, 0.344971f,
		0.370361f, 0.396973f, 0.422852f, 0.449219f, 0.477295f, 0.504395f, 0.532227f, 0.558594f, 0.586914f, 0.614258f, 0.640625f, 0.666016f,
		0.692871f, 0.718262f, 0.882812f, 0.891602f, 0.892578f, 0.892090f, 0.892090f, 0.890625f, 0.000623f, 0.002073f, 0.003298f, 0.004292f,
		0.005589f, 0.007401f, 0.008377f, 0.010315f, 0.011871f, 0.013596f, 0.015213f, 0.016632f, 0.018829f, 0.020920f, 0.023239f, 0.025726f,
		0.028381f, 0.031250f, 0.034241f, 0.037781f, 0.041473f, 0.045349f, 0.049469f, 0.054199f, 0.059448f, 0.065186f, 0.071716f, 0.078613f,
		0.085999f, 0.093872f, 0.103516f, 0.112976f, 0.123840f, 0.135620f, 0.148804f, 0.162720f, 0.178223f, 0.194824f, 0.212280f, 0.231079f,
		0.251953f, 0.273193f, 0.295410f, 0.319580f, 0.343994f, 0.370117f, 0.396729f, 0.422852f, 0.450684f, 0.478516f, 0.507324f, 0.534668f,
		0.562988f, 0.591797f, 0.619629f, 0.646484f, 0.674316f, 0.700195f, 0.875488f, 0.885254f, 0.886719f, 0.886719f, 0.885742f, 0.885254f,
		0.000583f, 0.001746f, 0.002840f, 0.004143f, 0.005234f, 0.006516f, 0.007835f, 0.009460f, 0.010788f, 0.012062f, 0.013428f, 0.015053f,
		0.017349f, 0.018753f, 0.021271f, 0.023163f, 0.025284f, 0.027924f, 0.030655f, 0.033478f, 0.036957f, 0.040527f, 0.044037f, 0.048309f,
		0.053223f, 0.058319f, 0.063660f, 0.069763f, 0.076172f, 0.083679f, 0.091431f, 0.100647f, 0.110229f, 0.120667f, 0.132690f, 0.145386f,
		0.159668f, 0.174805f, 0.191284f, 0.208984f, 0.228516f, 0.248535f, 0.270996f, 0.293701f, 0.317383f, 0.342529f, 0.369629f, 0.396240f,
		0.424072f, 0.452148f, 0.480957f, 0.509277f, 0.539551f, 0.567871f, 0.596680f, 0.625977f, 0.654785f, 0.682129f, 0.868652f, 0.878906f,
		0.880371f, 0.879883f, 0.879883f, 0.879395f, 0.000535f, 0.001538f, 0.002930f, 0.003725f, 0.004986f, 0.005920f, 0.006973f, 0.008247f,
		0.009575f, 0.010841f, 0.012115f, 0.013550f, 0.015343f, 0.016983f, 0.018814f, 0.020523f, 0.022568f, 0.024887f, 0.027206f, 0.029907f,
		0.032959f, 0.035828f, 0.039185f, 0.042877f, 0.046967f, 0.051605f, 0.056213f, 0.061432f, 0.067749f, 0.073730f, 0.081238f, 0.089111f,
		0.097656f, 0.107300f, 0.118042f, 0.129883f, 0.142334f, 0.156250f, 0.171875f, 0.187866f, 0.206665f, 0.225708f, 0.246704f, 0.268799f,
		0.291992f, 0.316650f, 0.342529f, 0.369629f, 0.397217f, 0.425537f, 0.454590f, 0.484131f, 0.513672f, 0.544434f, 0.574219f, 0.604492f,
		0.633789f, 0.664062f, 0.861328f, 0.871582f, 0.873535f, 0.874512f, 0.873047f, 0.872559f, 0.000581f, 0.001668f, 0.002563f, 0.003471f,
		0.004494f, 0.005562f, 0.006580f, 0.007782f, 0.008690f, 0.009766f, 0.011261f, 0.012314f, 0.013901f, 0.014969f, 0.016479f, 0.018265f,
		0.020294f, 0.022156f, 0.024353f, 0.026505f, 0.029053f, 0.031799f, 0.034607f, 0.037964f, 0.041382f, 0.045471f, 0.049591f, 0.054047f,
		0.059326f, 0.065186f, 0.071411f, 0.078735f, 0.086304f, 0.094971f, 0.104126f, 0.114807f, 0.126587f, 0.138916f, 0.153564f, 0.169067f,
		0.185669f, 0.203613f, 0.223389f, 0.244629f, 0.266602f, 0.291260f, 0.316406f, 0.342773f, 0.370361f, 0.398926f, 0.427734f, 0.458008f,
		0.488770f, 0.520020f, 0.550293f, 0.582031f, 0.613281f, 0.645020f, 0.854004f, 0.865234f, 0.866699f, 0.867188f, 0.866699f, 0.866699f,
		0.000571f, 0.001365f, 0.002483f, 0.003033f, 0.004120f, 0.005054f, 0.005981f, 0.006737f, 0.007603f, 0.008675f, 0.009789f, 0.011078f,
		0.012413f, 0.013626f, 0.014908f, 0.016174f, 0.017792f, 0.019699f, 0.021591f, 0.023499f, 0.025635f, 0.028000f, 0.030533f, 0.033417f,
		0.036499f, 0.039948f, 0.043762f, 0.047943f, 0.052460f, 0.057465f, 0.062622f, 0.068848f, 0.076111f, 0.083557f, 0.092102f, 0.101562f,
		0.111816f, 0.123230f, 0.135864f, 0.150024f, 0.165771f, 0.182373f, 0.200806f, 0.221191f, 0.242920f, 0.265869f, 0.290283f, 0.316406f,
		0.343262f, 0.371582f, 0.400879f, 0.431396f, 0.463623f, 0.494629f, 0.526367f, 0.558105f, 0.591309f, 0.624023f, 0.845215f, 0.856934f,
		0.859375f, 0.859375f, 0.859863f, 0.860352f, 0.000411f, 0.001296f, 0.002012f, 0.002808f, 0.003754f, 0.004543f, 0.005215f, 0.006012f,
		0.006725f, 0.007851f, 0.008888f, 0.009979f, 0.010994f, 0.012009f, 0.013062f, 0.014549f, 0.016113f, 0.017441f, 0.019073f, 0.020767f,
		0.022598f, 0.024689f, 0.026764f, 0.029358f, 0.032043f, 0.034760f, 0.038391f, 0.041779f, 0.045380f, 0.050110f, 0.055054f, 0.060394f,
		0.066650f, 0.073120f, 0.080688f, 0.089233f, 0.098450f, 0.108582f, 0.120178f, 0.133057f, 0.146973f, 0.162354f, 0.179565f, 0.198364f,
		0.218750f, 0.240967f, 0.264648f, 0.290039f, 0.316650f, 0.344971f, 0.374023f, 0.404541f, 0.435791f, 0.467773f, 0.500977f, 0.535156f,
		0.569336f, 0.601562f, 0.836914f, 0.850098f, 0.852051f, 0.852539f, 0.852539f, 0.852051f, 0.000408f, 0.001071f, 0.001857f, 0.002573f,
		0.003338f, 0.004078f, 0.004692f, 0.005379f, 0.006046f, 0.007275f, 0.007957f, 0.008606f, 0.009598f, 0.010864f, 0.011658f, 0.013084f,
		0.013977f, 0.015366f, 0.016724f, 0.018402f, 0.019669f, 0.021759f, 0.023697f, 0.025726f, 0.027954f, 0.030640f, 0.033356f, 0.036530f,
		0.039948f, 0.043701f, 0.047791f, 0.052704f, 0.057770f, 0.063782f, 0.070129f, 0.077881f, 0.085999f, 0.095337f, 0.105591f, 0.116882f,
		0.130005f, 0.143921f, 0.159302f, 0.177246f, 0.196411f, 0.217163f, 0.239746f, 0.263916f, 0.290039f, 0.317871f, 0.346924f, 0.377441f,
		0.408936f, 0.442139f, 0.476074f, 0.509766f, 0.545410f, 0.580078f, 0.828613f, 0.841309f, 0.843262f, 0.844238f, 0.843750f, 0.844238f,
		0.000322f, 0.001009f, 0.001674f, 0.002262f, 0.002949f, 0.003633f, 0.004250f, 0.004780f, 0.005478f, 0.006256f, 0.007248f, 0.007919f,
		0.008720f, 0.009552f, 0.010277f, 0.011391f, 0.012291f, 0.013466f, 0.014786f, 0.015976f, 0.017288f, 0.019043f, 0.020477f, 0.022385f,
		0.024292f, 0.026276f, 0.029175f, 0.031769f, 0.034546f, 0.037842f, 0.041626f, 0.045868f, 0.050293f, 0.055084f, 0.060669f, 0.067688f,
		0.074585f, 0.083008f, 0.092102f, 0.102234f, 0.113525f, 0.126587f, 0.140869f, 0.156860f, 0.174805f, 0.194214f, 0.215698f, 0.239014f,
		0.264404f, 0.291016f, 0.320068f, 0.350098f, 0.382080f, 0.414551f, 0.449463f, 0.485107f, 0.520996f, 0.557617f, 0.818848f, 0.833496f,
		0.836426f, 0.836914f, 0.836426f, 0.835938f, 0.000483f, 0.000841f, 0.001632f, 0.002142f, 0.002678f, 0.003359f, 0.003830f, 0.004333f,
		0.005077f, 0.005527f, 0.006104f, 0.006908f, 0.007675f, 0.008392f, 0.009216f, 0.009789f, 0.010880f, 0.011719f, 0.012817f, 0.013809f,
		0.015068f, 0.016357f, 0.017883f, 0.019485f, 0.021271f, 0.022995f, 0.025162f, 0.027359f, 0.029755f, 0.032806f, 0.036133f, 0.039459f,
		0.043091f, 0.047821f, 0.052368f, 0.058258f, 0.064514f, 0.071472f, 0.079224f, 0.088623f, 0.098694f, 0.109924f, 0.123230f, 0.137817f,
		0.154053f, 0.172363f, 0.192261f, 0.214478f, 0.238647f, 0.265137f, 0.292725f, 0.322998f, 0.354492f, 0.387695f, 0.422363f, 0.458740f,
		0.495605f, 0.533691f, 0.809570f, 0.824219f, 0.826660f, 0.827148f, 0.828125f, 0.827148f, 0.000240f, 0.000906f, 0.001379f, 0.001807f,
		0.002495f, 0.002916f, 0.003490f, 0.004139f, 0.004471f, 0.004898f, 0.005638f, 0.005978f, 0.006874f, 0.007313f, 0.007957f, 0.008698f,
		0.009560f, 0.010178f, 0.011345f, 0.012177f, 0.012985f, 0.014214f, 0.015274f, 0.016708f, 0.017929f, 0.019882f, 0.021393f, 0.023560f,
		0.025406f, 0.028137f, 0.030472f, 0.033752f, 0.036896f, 0.040619f, 0.044952f, 0.049622f, 0.055298f, 0.061249f, 0.068420f, 0.075928f,
		0.084900f, 0.095398f, 0.107300f, 0.119934f, 0.134766f, 0.151733f, 0.170410f, 0.191284f, 0.213867f, 0.238647f, 0.265869f, 0.295654f,
		0.326660f, 0.359863f, 0.394775f, 0.432129f, 0.469482f, 0.508789f, 0.798340f, 0.814941f, 0.817871f, 0.818359f, 0.818848f, 0.818848f,
		0.000376f, 0.000870f, 0.001291f, 0.001619f, 0.002251f, 0.002520f, 0.003016f, 0.003502f, 0.004036f, 0.004299f, 0.004723f, 0.005234f,
		0.005840f, 0.006512f, 0.006908f, 0.007595f, 0.008003f, 0.008797f, 0.009773f, 0.010536f, 0.011284f, 0.012161f, 0.013237f, 0.014465f,
		0.015579f, 0.016968f, 0.018402f, 0.019882f, 0.021759f, 0.023621f, 0.026138f, 0.028488f, 0.031738f, 0.034668f, 0.038239f, 0.042389f,
		0.046783f, 0.052094f, 0.058319f, 0.064941f, 0.072815f, 0.081726f, 0.092102f, 0.103516f, 0.117188f, 0.132202f, 0.149048f, 0.168091f,
		0.189941f, 0.213745f, 0.239990f, 0.268311f, 0.299316f, 0.332275f, 0.367188f, 0.403076f, 0.442871f, 0.483398f, 0.788086f, 0.805176f,
		0.808105f, 0.808594f, 0.809082f, 0.809082f, 0.000386f, 0.000765f, 0.000998f, 0.001537f, 0.001833f, 0.002407f, 0.002529f, 0.003113f,
		0.003334f, 0.003841f, 0.004192f, 0.004585f, 0.005096f, 0.005543f, 0.006073f, 0.006405f, 0.007118f, 0.007641f, 0.008278f, 0.008957f,
		0.009651f, 0.010498f, 0.011307f, 0.012184f, 0.013199f, 0.014343f, 0.015671f, 0.016678f, 0.018585f, 0.019852f, 0.021881f, 0.023987f,
		0.026398f, 0.029099f, 0.032227f, 0.035339f, 0.039246f, 0.043915f, 0.048859f, 0.054688f, 0.061554f, 0.069519f, 0.078247f, 0.088379f,
		0.100037f, 0.113770f, 0.129272f, 0.146606f, 0.166626f, 0.189575f, 0.214111f, 0.241577f, 0.271973f, 0.304199f, 0.339844f, 0.375977f,
		0.415527f, 0.457275f, 0.776855f, 0.794434f, 0.797363f, 0.797852f, 0.798828f, 0.799316f, 0.000232f, 0.000636f, 0.000996f, 0.001201f,
		0.001721f, 0.002029f, 0.002340f, 0.002802f, 0.003012f, 0.003462f, 0.003693f, 0.004059f, 0.004295f, 0.004822f, 0.005077f, 0.005623f,
		0.006126f, 0.006653f, 0.007027f, 0.007561f, 0.008049f, 0.008904f, 0.009399f, 0.010300f, 0.011200f, 0.012115f, 0.013092f, 0.014221f,
		0.015671f, 0.016891f, 0.018433f, 0.020294f, 0.022064f, 0.024277f, 0.026688f, 0.029678f, 0.032654f, 0.036499f, 0.040955f, 0.045715f,
		0.051514f, 0.058014f, 0.065674f, 0.074707f, 0.084717f, 0.096802f, 0.111023f, 0.126709f, 0.144775f, 0.165771f, 0.189209f, 0.215820f,
		0.244385f, 0.275879f, 0.310547f, 0.348145f, 0.387695f, 0.429932f, 0.765137f, 0.783203f, 0.787109f, 0.788574f, 0.788574f, 0.789551f,
		0.000171f, 0.000518f, 0.001106f, 0.001242f, 0.001475f, 0.001939f, 0.002092f, 0.002254f, 0.002607f, 0.002930f, 0.003084f, 0.003382f,
		0.003674f, 0.004040f, 0.004395f, 0.004780f, 0.005157f, 0.005653f, 0.006088f, 0.006355f, 0.006870f, 0.007420f, 0.008057f, 0.008667f,
		0.009361f, 0.010040f, 0.011101f, 0.011803f, 0.012711f, 0.013962f, 0.015343f, 0.016586f, 0.018036f, 0.020142f, 0.022079f, 0.024399f,
		0.027023f, 0.030075f, 0.033569f, 0.037750f, 0.042603f, 0.048096f, 0.054718f, 0.062134f, 0.071045f, 0.081299f, 0.093445f, 0.107605f,
		0.124268f, 0.142944f, 0.165405f, 0.189941f, 0.218262f, 0.249268f, 0.282227f, 0.319336f, 0.359375f, 0.402832f, 0.752930f, 0.771973f,
		0.775879f, 0.776855f, 0.777832f, 0.777832f, 0.000204f, 0.000608f, 0.000865f, 0.001011f, 0.001362f, 0.001632f, 0.001817f, 0.001930f,
		0.002274f, 0.002491f, 0.002796f, 0.002932f, 0.003139f, 0.003429f, 0.003736f, 0.004055f, 0.004448f, 0.004829f, 0.004971f, 0.005497f,
		0.005859f, 0.006298f, 0.006741f, 0.007080f, 0.007687f, 0.008308f, 0.009087f, 0.009880f, 0.010735f, 0.011528f, 0.012375f, 0.013664f,
		0.014862f, 0.016464f, 0.017868f, 0.019852f, 0.022156f, 0.024490f, 0.027435f, 0.030853f, 0.034637f, 0.039154f, 0.044495f, 0.050964f,
		0.058441f, 0.067383f, 0.077759f, 0.090332f, 0.104797f, 0.121826f, 0.142334f, 0.164795f, 0.191528f, 0.221313f, 0.254150f, 0.290771f,
		0.330078f, 0.374268f, 0.740234f, 0.759277f, 0.763672f, 0.766113f, 0.766602f, 0.766113f, 0.000150f, 0.000514f, 0.000666f, 0.000865f,
		0.001163f, 0.001389f, 0.001540f, 0.001672f, 0.001940f, 0.002110f, 0.002302f, 0.002419f, 0.002745f, 0.002974f, 0.003120f, 0.003366f,
		0.003695f, 0.003815f, 0.004173f, 0.004574f, 0.004879f, 0.005165f, 0.005646f, 0.006058f, 0.006481f, 0.006969f, 0.007626f, 0.007881f,
		0.008751f, 0.009445f, 0.010231f, 0.011246f, 0.012222f, 0.013268f, 0.014641f, 0.015976f, 0.017792f, 0.019867f, 0.021912f, 0.024704f,
		0.027786f, 0.031494f, 0.036011f, 0.041229f, 0.047363f, 0.054962f, 0.063904f, 0.074463f, 0.087036f, 0.102295f, 0.120483f, 0.141113f,
		0.166260f, 0.194214f, 0.226196f, 0.261719f, 0.301514f, 0.345459f, 0.727051f, 0.747070f, 0.751953f, 0.753418f, 0.754395f, 0.754883f,
		0.000103f, 0.000251f, 0.000628f, 0.000912f, 0.000978f, 0.001191f, 0.001365f, 0.001507f, 0.001513f, 0.001757f, 0.001980f, 0.002121f,
		0.002316f, 0.002373f, 0.002645f, 0.002909f, 0.003012f, 0.003305f, 0.003538f, 0.003775f, 0.004070f, 0.004246f, 0.004642f, 0.004986f,
		0.005394f, 0.005802f, 0.006031f, 0.006565f, 0.006969f, 0.007618f, 0.008293f, 0.008980f, 0.009766f, 0.010612f, 0.011528f, 0.012802f,
		0.014198f, 0.015671f, 0.017517f, 0.019592f, 0.021957f, 0.024918f, 0.028442f, 0.032562f, 0.037567f, 0.043762f, 0.051025f, 0.059753f,
		0.071045f, 0.084412f, 0.099792f, 0.119385f, 0.141846f, 0.167969f, 0.199341f, 0.233521f, 0.272461f, 0.315674f, 0.712891f, 0.733887f,
		0.738770f, 0.740234f, 0.741211f, 0.741699f, 0.000185f, 0.000434f, 0.000489f, 0.000732f, 0.000874f, 0.000968f, 0.001122f, 0.001124f,
		0.001371f, 0.001423f, 0.001639f, 0.001693f, 0.001805f, 0.002094f, 0.002241f, 0.002356f, 0.002567f, 0.002691f, 0.002871f, 0.003063f,
		0.003195f, 0.003582f, 0.003790f, 0.004089f, 0.004372f, 0.004536f, 0.005085f, 0.005314f, 0.005699f, 0.006153f, 0.006672f, 0.007202f,
		0.007805f, 0.008522f, 0.009216f, 0.010071f, 0.011086f, 0.012184f, 0.013596f, 0.015297f, 0.017014f, 0.019363f, 0.021988f, 0.025299f,
		0.029282f, 0.033936f, 0.040070f, 0.047028f, 0.056519f, 0.067932f, 0.080872f, 0.098083f, 0.118469f, 0.143188f, 0.171753f, 0.205200f,
		0.243286f, 0.286133f, 0.698730f, 0.721680f, 0.725098f, 0.727051f, 0.728027f, 0.728516f, 0.000116f, 0.000267f, 0.000565f, 0.000505f,
		0.000648f, 0.000772f, 0.000813f, 0.001031f, 0.001107f, 0.001184f, 0.001335f, 0.001391f, 0.001451f, 0.001633f, 0.001798f, 0.001874f,
		0.002090f, 0.002192f, 0.002392f, 0.002464f, 0.002707f, 0.002895f, 0.003044f, 0.003206f, 0.003468f, 0.003666f, 0.003887f, 0.004261f,
		0.004524f, 0.004898f, 0.005379f, 0.005711f, 0.006130f, 0.006721f, 0.007267f, 0.007912f, 0.008659f, 0.009575f, 0.010475f, 0.011749f,
		0.013252f, 0.014717f, 0.016815f, 0.019302f, 0.022369f, 0.025955f, 0.030502f, 0.036285f, 0.043579f, 0.052795f, 0.064453f, 0.078735f,
		0.096497f, 0.118591f, 0.145508f, 0.177368f, 0.213989f, 0.256592f, 0.683105f, 0.707031f, 0.710938f, 0.713379f, 0.714844f, 0.714844f,
		0.000223f, 0.000239f, 0.000286f, 0.000476f, 0.000580f, 0.000647f, 0.000715f, 0.000843f, 0.000914f, 0.000950f, 0.001090f, 0.001163f,
		0.001259f, 0.001328f, 0.001392f, 0.001560f, 0.001549f, 0.001775f, 0.001868f, 0.001999f, 0.002199f, 0.002235f, 0.002436f, 0.002575f,
		0.002842f, 0.002892f, 0.003111f, 0.003401f, 0.003563f, 0.003887f, 0.004196f, 0.004505f, 0.004791f, 0.005142f, 0.005684f, 0.006153f,
		0.006710f, 0.007378f, 0.008064f, 0.008881f, 0.009979f, 0.011177f, 0.012779f, 0.014435f, 0.016647f, 0.019150f, 0.022583f, 0.027252f,
		0.033051f, 0.040039f, 0.049561f, 0.061340f, 0.076843f, 0.096313f, 0.120544f, 0.150513f, 0.185547f, 0.227173f, 0.668457f, 0.692383f,
		0.696289f, 0.698242f, 0.699219f, 0.701172f, 0.000000f, 0.000109f, 0.000315f, 0.000449f, 0.000511f, 0.000507f, 0.000538f, 0.000653f,
		0.000724f, 0.000749f, 0.000830f, 0.000893f, 0.001007f, 0.001079f, 0.001189f, 0.001163f, 0.001335f, 0.001307f, 0.001502f, 0.001575f,
		0.001627f, 0.001778f, 0.001933f, 0.002029f, 0.002155f, 0.002254f, 0.002401f, 0.002535f, 0.002829f, 0.002943f, 0.003143f, 0.003422f,
		0.003710f, 0.003990f, 0.004318f, 0.004627f, 0.005108f, 0.005585f, 0.006142f, 0.006641f, 0.007378f, 0.008354f, 0.009430f, 0.010628f,
		0.012123f, 0.014015f, 0.016541f, 0.019836f, 0.023849f, 0.029312f, 0.036774f, 0.046356f, 0.058868f, 0.075562f, 0.097107f, 0.124634f,
		0.157837f, 0.197754f, 0.653320f, 0.677734f, 0.682129f, 0.684082f, 0.685547f, 0.684570f, 0.000166f, 0.000195f, 0.000256f, 0.000372f,
		0.000386f, 0.000415f, 0.000515f, 0.000432f, 0.000579f, 0.000606f, 0.000706f, 0.000745f, 0.000764f, 0.000837f, 0.000853f, 0.000993f,
		0.001034f, 0.001066f, 0.001156f, 0.001203f, 0.001339f, 0.001418f, 0.001470f, 0.001612f, 0.001614f, 0.001707f, 0.001850f, 0.001986f,
		0.002151f, 0.002254f, 0.002499f, 0.002560f, 0.002794f, 0.003000f, 0.003212f, 0.003510f, 0.003761f, 0.004086f, 0.004475f, 0.004967f,
		0.005428f, 0.006134f, 0.006840f, 0.007786f, 0.008858f, 0.010033f, 0.011909f, 0.014137f, 0.016907f, 0.020767f, 0.025894f, 0.033386f,
		0.043274f, 0.056854f, 0.075439f, 0.099548f, 0.130737f, 0.169434f, 0.634277f, 0.661133f, 0.667480f, 0.668945f, 0.669922f, 0.670898f,
		0.000115f, 0.000119f, 0.000230f, 0.000304f, 0.000221f, 0.000380f, 0.000322f, 0.000351f, 0.000453f, 0.000527f, 0.000535f, 0.000558f,
		0.000595f, 0.000675f, 0.000707f, 0.000670f, 0.000776f, 0.000812f, 0.000839f, 0.000911f, 0.000974f, 0.001033f, 0.001082f, 0.001154f,
		0.001209f, 0.001268f, 0.001416f, 0.001432f, 0.001607f, 0.001775f, 0.001877f, 0.001911f, 0.002041f, 0.002207f, 0.002380f, 0.002563f,
		0.002741f, 0.002956f, 0.003281f, 0.003513f, 0.003902f, 0.004353f, 0.004803f, 0.005405f, 0.006256f, 0.007072f, 0.008263f, 0.009659f,
		0.011627f, 0.014221f, 0.017792f, 0.022919f, 0.030075f, 0.040497f, 0.055878f, 0.076721f, 0.104980f, 0.141357f, 0.618652f, 0.644531f,
		0.650391f, 0.652832f, 0.653320f, 0.654785f, 0.000000f, 0.000122f, 0.000142f, 0.000227f, 0.000248f, 0.000246f, 0.000296f, 0.000254f,
		0.000308f, 0.000329f, 0.000387f, 0.000437f, 0.000443f, 0.000504f, 0.000515f, 0.000535f, 0.000566f, 0.000592f, 0.000618f, 0.000641f,
		0.000706f, 0.000746f, 0.000787f, 0.000839f, 0.000878f, 0.000920f, 0.001043f, 0.001041f, 0.001136f, 0.001199f, 0.001258f, 0.001393f,
		0.001428f, 0.001549f, 0.001632f, 0.001856f, 0.001945f, 0.002079f, 0.002310f, 0.002489f, 0.002708f, 0.002996f, 0.003315f, 0.003759f,
		0.004177f, 0.004803f, 0.005619f, 0.006527f, 0.007793f, 0.009468f, 0.011917f, 0.015152f, 0.019897f, 0.027298f, 0.038910f, 0.055908f,
		0.080811f, 0.114563f, 0.600586f, 0.628906f, 0.634277f, 0.636719f, 0.637207f, 0.638672f, 0.000000f, 0.000000f, 0.000106f, 0.000137f,
		0.000172f, 0.000211f, 0.000189f, 0.000226f, 0.000230f, 0.000248f, 0.000293f, 0.000251f, 0.000264f, 0.000321f, 0.000343f, 0.000399f,
		0.000368f, 0.000401f, 0.000499f, 0.000479f, 0.000498f, 0.000526f, 0.000550f, 0.000595f, 0.000631f, 0.000645f, 0.000726f, 0.000717f,
		0.000786f, 0.000902f, 0.000865f, 0.000916f, 0.000989f, 0.001059f, 0.001165f, 0.001246f, 0.001279f, 0.001408f, 0.001566f, 0.001628f,
		0.001808f, 0.001991f, 0.002165f, 0.002466f, 0.002766f, 0.003084f, 0.003534f, 0.004250f, 0.005016f, 0.006130f, 0.007584f, 0.009605f,
		0.012718f, 0.017395f, 0.025131f, 0.038269f, 0.058899f, 0.089661f, 0.582031f, 0.611328f, 0.616699f, 0.620117f, 0.621094f, 0.622559f,
		0.000000f, 0.000108f, 0.000104f, 0.000095f, 0.000117f, 0.000117f, 0.000122f, 0.000143f, 0.000147f, 0.000164f, 0.000174f, 0.000216f,
		0.000191f, 0.000227f, 0.000241f, 0.000250f, 0.000257f, 0.000271f, 0.000301f, 0.000298f, 0.000317f, 0.000344f, 0.000370f, 0.000392f,
		0.000404f, 0.000427f, 0.000491f, 0.000491f, 0.000519f, 0.000535f, 0.000611f, 0.000601f, 0.000668f, 0.000698f, 0.000767f, 0.000838f,
		0.000865f, 0.000895f, 0.000993f, 0.001066f, 0.001161f, 0.001242f, 0.001415f, 0.001521f, 0.001743f, 0.001901f, 0.002209f, 0.002523f,
		0.003038f, 0.003601f, 0.004478f, 0.005699f, 0.007545f, 0.010437f, 0.015175f, 0.023682f, 0.039429f, 0.066406f, 0.563477f, 0.593262f,
		0.598633f, 0.602051f, 0.602539f, 0.603516f, 0.000000f, 0.000101f, 0.000093f, 0.000087f, 0.000082f, 0.000078f, 0.000084f, 0.000087f,
		0.000093f, 0.000094f, 0.000099f, 0.000104f, 0.000114f, 0.000123f, 0.000158f, 0.000163f, 0.000166f, 0.000178f, 0.000177f, 0.000214f,
		0.000191f, 0.000208f, 0.000212f, 0.000247f, 0.000268f, 0.000263f, 0.000272f, 0.000287f, 0.000310f, 0.000336f, 0.000353f, 0.000368f,
		0.000396f, 0.000408f, 0.000453f, 0.000476f, 0.000511f, 0.000540f, 0.000615f, 0.000635f, 0.000682f, 0.000751f, 0.000812f, 0.000908f,
		0.000987f, 0.001116f, 0.001278f, 0.001431f, 0.001702f, 0.002047f, 0.002512f, 0.003126f, 0.004181f, 0.005817f, 0.008553f, 0.013489f,
		0.023697f, 0.045288f, 0.544922f, 0.575684f, 0.581543f, 0.584473f, 0.585938f, 0.587402f, 0.000109f, 0.000091f, 0.000081f, 0.000075f,
		0.000070f, 0.000067f, 0.000064f, 0.000061f, 0.000057f, 0.000054f, 0.000058f, 0.000075f, 0.000062f, 0.000064f, 0.000085f, 0.000068f,
		0.000092f, 0.000094f, 0.000103f, 0.000110f, 0.000113f, 0.000119f, 0.000141f, 0.000141f, 0.000148f, 0.000152f, 0.000159f, 0.000164f,
		0.000175f, 0.000188f, 0.000184f, 0.000218f, 0.000233f, 0.000223f, 0.000253f, 0.000265f, 0.000282f, 0.000321f, 0.000322f, 0.000351f,
		0.000371f, 0.000405f, 0.000443f, 0.000478f, 0.000515f, 0.000571f, 0.000652f, 0.000733f, 0.000856f, 0.001011f, 0.001227f, 0.001531f,
		0.002029f, 0.002817f, 0.004215f, 0.006874f, 0.012390f, 0.027405f, 0.525879f, 0.557129f, 0.563477f, 0.566895f, 0.568848f, 0.569824f,
		0.000094f, 0.000073f, 0.000065f, 0.000060f, 0.000055f, 0.000052f, 0.000049f, 0.000048f, 0.000046f, 0.000045f, 0.000042f, 0.000040f,
		0.000040f, 0.000037f, 0.000035f, 0.000035f, 0.000042f, 0.000036f, 0.000049f, 0.000051f, 0.000055f, 0.000056f, 0.000059f, 0.000062f,
		0.000064f, 0.000078f, 0.000071f, 0.000079f, 0.000088f, 0.000091f, 0.000093f, 0.000099f, 0.000103f, 0.000110f, 0.000125f, 0.000123f,
		0.000127f, 0.000151f, 0.000151f, 0.000161f, 0.000169f, 0.000179f, 0.000204f, 0.000219f, 0.000240f, 0.000267f, 0.000294f, 0.000321f,
		0.000378f, 0.000438f, 0.000524f, 0.000628f, 0.000818f, 0.001125f, 0.001693f, 0.002888f, 0.005638f, 0.013580f, 0.505859f, 0.539062f,
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		0.583984f, 0.603516f, 0.622070f, 0.640625f, 0.658691f, 0.675781f, 0.692871f, 0.709473f, 0.725098f, 0.740234f, 0.754883f, 0.769531f,
		0.783203f, 0.796875f, 0.809570f, 0.823242f, 0.834473f, 0.846191f, 0.857422f, 0.868164f, 0.878906f, 0.889160f, 0.948730f, 0.948242f,
		0.946289f, 0.944336f, 0.940918f, 0.938477f, 0.003017f, 0.009422f, 0.015900f, 0.023041f, 0.030380f, 0.038574f, 0.047150f, 0.055969f,
		0.065735f, 0.075684f, 0.086426f, 0.098267f, 0.110535f, 0.123047f, 0.136841f, 0.151489f, 0.166138f, 0.182495f, 0.198975f, 0.216553f,
		0.233765f, 0.252930f, 0.271484f, 0.291016f, 0.310547f, 0.331299f, 0.351562f, 0.372559f, 0.393555f, 0.415039f, 0.435059f, 0.457275f,
		0.477539f, 0.498047f, 0.519043f, 0.538574f, 0.559570f, 0.579102f, 0.598633f, 0.617188f, 0.635742f, 0.654297f, 0.672363f, 0.688965f,
		0.706055f, 0.721191f, 0.737793f, 0.752930f, 0.768066f, 0.782227f, 0.795898f, 0.809082f, 0.821289f, 0.833496f, 0.846191f, 0.857422f,
		0.869141f, 0.879883f, 0.944824f, 0.945312f, 0.942871f, 0.940918f, 0.938477f, 0.936035f, 0.002802f, 0.008575f, 0.014763f, 0.020844f,
		0.027557f, 0.034576f, 0.042084f, 0.050476f, 0.058990f, 0.067993f, 0.077942f, 0.087952f, 0.098999f, 0.111267f, 0.122803f, 0.136719f,
		0.150269f, 0.165527f, 0.180542f, 0.196533f, 0.213257f, 0.230591f, 0.248779f, 0.267334f, 0.286865f, 0.306152f, 0.325928f, 0.346436f,
		0.367188f, 0.387695f, 0.409424f, 0.429199f, 0.450195f, 0.471680f, 0.492920f, 0.513184f, 0.534180f, 0.553711f, 0.573730f, 0.593750f,
		0.612793f, 0.631836f, 0.649414f, 0.668457f, 0.685059f, 0.703125f, 0.719238f, 0.735352f, 0.750000f, 0.766113f, 0.781738f, 0.794434f,
		0.808105f, 0.821777f, 0.833984f, 0.846191f, 0.858398f, 0.870117f, 0.940918f, 0.941895f, 0.939941f, 0.937500f, 0.935059f, 0.932617f,
		0.002573f, 0.007603f, 0.013100f, 0.018799f, 0.024719f, 0.031372f, 0.038147f, 0.045105f, 0.052795f, 0.061127f, 0.069519f, 0.079529f,
		0.089355f, 0.099976f, 0.111084f, 0.123718f, 0.136353f, 0.148926f, 0.163574f, 0.178345f, 0.194214f, 0.210083f, 0.227783f, 0.245361f,
		0.263672f, 0.282471f, 0.301758f, 0.321533f, 0.341797f, 0.361816f, 0.383057f, 0.403320f, 0.424316f, 0.445557f, 0.466797f, 0.487061f,
		0.507812f, 0.528809f, 0.549805f, 0.569336f, 0.589844f, 0.608887f, 0.627930f, 0.646973f, 0.665527f, 0.682129f, 0.700195f, 0.717773f,
		0.732910f, 0.749512f, 0.765137f, 0.779785f, 0.794434f, 0.808105f, 0.821777f, 0.834473f, 0.847168f, 0.859375f, 0.936523f, 0.937988f,
		0.936035f, 0.933594f, 0.932129f, 0.929688f, 0.002409f, 0.007107f, 0.011833f, 0.017075f, 0.022278f, 0.028351f, 0.034088f, 0.040558f,
		0.047943f, 0.055389f, 0.063232f, 0.072021f, 0.080322f, 0.090454f, 0.100220f, 0.111389f, 0.122986f, 0.135010f, 0.148438f, 0.162109f,
		0.176270f, 0.191772f, 0.207642f, 0.224121f, 0.241699f, 0.259277f, 0.278076f, 0.297363f, 0.316650f, 0.336670f, 0.356934f, 0.377686f,
		0.397949f, 0.418701f, 0.439941f, 0.461914f, 0.482178f, 0.502930f, 0.524414f, 0.544922f, 0.565918f, 0.585938f, 0.605957f, 0.625000f,
		0.643066f, 0.662109f, 0.680176f, 0.698730f, 0.715820f, 0.731934f, 0.748047f, 0.764648f, 0.780273f, 0.794434f, 0.808594f, 0.821777f,
		0.836914f, 0.848145f, 0.932129f, 0.934082f, 0.932617f, 0.930176f, 0.928711f, 0.926270f, 0.002066f, 0.006329f, 0.010986f, 0.015541f,
		0.020294f, 0.025452f, 0.030975f, 0.037201f, 0.043152f, 0.049835f, 0.056824f, 0.064331f, 0.072998f, 0.081177f, 0.090637f, 0.100525f,
		0.110718f, 0.122131f, 0.134033f, 0.146851f, 0.159912f, 0.173584f, 0.189331f, 0.204468f, 0.221191f, 0.237671f, 0.255615f, 0.273682f,
		0.292969f, 0.312012f, 0.331543f, 0.352295f, 0.372314f, 0.393311f, 0.413818f, 0.435547f, 0.456055f, 0.477539f, 0.499023f, 0.520508f,
		0.540039f, 0.561523f, 0.581543f, 0.602051f, 0.622070f, 0.641113f, 0.659668f, 0.678223f, 0.697266f, 0.714844f, 0.731445f, 0.748535f,
		0.765137f, 0.778809f, 0.794922f, 0.810059f, 0.824219f, 0.837402f, 0.926758f, 0.930176f, 0.928711f, 0.926758f, 0.924805f, 0.922852f,
		0.001840f, 0.005703f, 0.009918f, 0.014099f, 0.018311f, 0.023026f, 0.028000f, 0.033508f, 0.038971f, 0.045044f, 0.051880f, 0.058289f,
		0.065796f, 0.073425f, 0.081482f, 0.090698f, 0.100464f, 0.110413f, 0.121216f, 0.132812f, 0.145142f, 0.158203f, 0.171997f, 0.186401f,
		0.201538f, 0.217651f, 0.234497f, 0.251465f, 0.269287f, 0.288330f, 0.307129f, 0.327148f, 0.346924f, 0.367920f, 0.388428f, 0.409668f,
		0.430420f, 0.451416f, 0.474121f, 0.494873f, 0.516113f, 0.537598f, 0.558105f, 0.579102f, 0.598633f, 0.619629f, 0.639160f, 0.657715f,
		0.677734f, 0.695801f, 0.713867f, 0.731934f, 0.748047f, 0.764160f, 0.781738f, 0.796875f, 0.810547f, 0.826172f, 0.922363f, 0.925781f,
		0.924805f, 0.922852f, 0.921387f, 0.919434f, 0.001621f, 0.005188f, 0.008888f, 0.012939f, 0.016724f, 0.021271f, 0.025772f, 0.029984f,
		0.035553f, 0.040741f, 0.046417f, 0.052490f, 0.059265f, 0.066528f, 0.074097f, 0.081482f, 0.090271f, 0.100220f, 0.109741f, 0.120178f,
		0.131226f, 0.143188f, 0.156006f, 0.169189f, 0.183716f, 0.198486f, 0.214233f, 0.230713f, 0.247925f, 0.265381f, 0.284424f, 0.303711f,
		0.322754f, 0.342773f, 0.363525f, 0.384277f, 0.405518f, 0.427002f, 0.447754f, 0.469727f, 0.491455f, 0.512207f, 0.534180f, 0.554688f,
		0.576172f, 0.597168f, 0.617188f, 0.636719f, 0.657227f, 0.677734f, 0.695312f, 0.713379f, 0.731934f, 0.749512f, 0.766113f, 0.782715f,
		0.798340f, 0.813477f, 0.917480f, 0.920898f, 0.920410f, 0.919922f, 0.916992f, 0.915039f, 0.001581f, 0.004616f, 0.008049f, 0.011917f,
		0.015556f, 0.019547f, 0.023270f, 0.027908f, 0.031860f, 0.036652f, 0.041992f, 0.047577f, 0.053528f, 0.060150f, 0.066772f, 0.073914f,
		0.082153f, 0.090088f, 0.099304f, 0.108887f, 0.118835f, 0.129517f, 0.141357f, 0.154297f, 0.166992f, 0.180908f, 0.195557f, 0.210815f,
		0.227173f, 0.244141f, 0.261963f, 0.279785f, 0.299072f, 0.318359f, 0.338379f, 0.358887f, 0.380127f, 0.401123f, 0.422607f, 0.443848f,
		0.466309f, 0.487793f, 0.509277f, 0.530762f, 0.553223f, 0.573730f, 0.594727f, 0.616699f, 0.636719f, 0.656250f, 0.676270f, 0.695801f,
		0.713867f, 0.733398f, 0.750488f, 0.767090f, 0.784180f, 0.801270f, 0.912598f, 0.916992f, 0.916504f, 0.914551f, 0.913086f, 0.911133f,
		0.001476f, 0.004410f, 0.007374f, 0.010620f, 0.013931f, 0.017258f, 0.021057f, 0.024979f, 0.029144f, 0.033478f, 0.037872f, 0.042969f,
		0.048737f, 0.053986f, 0.060150f, 0.066895f, 0.074036f, 0.081665f, 0.089417f, 0.098083f, 0.107361f, 0.117371f, 0.127930f, 0.139648f,
		0.151489f, 0.164062f, 0.178589f, 0.192627f, 0.208130f, 0.223755f, 0.240601f, 0.258057f, 0.275879f, 0.295654f, 0.314697f, 0.334961f,
		0.354980f, 0.375977f, 0.396729f, 0.418945f, 0.440430f, 0.462402f, 0.484619f, 0.506348f, 0.528809f, 0.550781f, 0.572266f, 0.593750f,
		0.615234f, 0.637207f, 0.656738f, 0.676758f, 0.696289f, 0.716309f, 0.734863f, 0.752930f, 0.770508f, 0.788574f, 0.906738f, 0.911621f,
		0.912109f, 0.910156f, 0.908691f, 0.907227f, 0.001204f, 0.003998f, 0.006786f, 0.009850f, 0.012642f, 0.015762f, 0.019226f, 0.022751f,
		0.026749f, 0.030502f, 0.034698f, 0.038940f, 0.044006f, 0.048615f, 0.054352f, 0.060608f, 0.066711f, 0.073059f, 0.080505f, 0.088318f,
		0.097290f, 0.105835f, 0.115845f, 0.126343f, 0.137085f, 0.148804f, 0.161377f, 0.175049f, 0.189331f, 0.204346f, 0.219604f, 0.236816f,
		0.253662f, 0.272217f, 0.291260f, 0.310547f, 0.330811f, 0.350830f, 0.372314f, 0.393799f, 0.415771f, 0.437500f, 0.459717f, 0.481934f,
		0.504883f, 0.527344f, 0.549316f, 0.571777f, 0.593750f, 0.615723f, 0.636230f, 0.657715f, 0.678223f, 0.697754f, 0.718262f, 0.737793f,
		0.756348f, 0.774902f, 0.900879f, 0.907227f, 0.906738f, 0.905762f, 0.904297f, 0.902832f, 0.001290f, 0.003807f, 0.006207f, 0.008652f,
		0.011368f, 0.014618f, 0.017792f, 0.020813f, 0.023849f, 0.027588f, 0.031036f, 0.035400f, 0.039917f, 0.044250f, 0.049408f, 0.054321f,
		0.059937f, 0.065918f, 0.072937f, 0.079773f, 0.087463f, 0.095703f, 0.104553f, 0.113892f, 0.124146f, 0.134888f, 0.146606f, 0.159058f,
		0.171753f, 0.185913f, 0.201416f, 0.216309f, 0.232910f, 0.250000f, 0.268555f, 0.287354f, 0.306885f, 0.326904f, 0.347412f, 0.369141f,
		0.390381f, 0.412842f, 0.434570f, 0.457764f, 0.479736f, 0.502930f, 0.525879f, 0.547852f, 0.570801f, 0.592773f, 0.615723f, 0.637207f,
		0.659180f, 0.680176f, 0.700684f, 0.720703f, 0.740234f, 0.759766f, 0.895996f, 0.901855f, 0.901855f, 0.900879f, 0.899414f, 0.897949f,
		0.001030f, 0.003561f, 0.005718f, 0.008301f, 0.010582f, 0.013283f, 0.015839f, 0.018753f, 0.022156f, 0.025314f, 0.028427f, 0.032318f,
		0.035889f, 0.040039f, 0.044434f, 0.048737f, 0.054077f, 0.059723f, 0.065613f, 0.072083f, 0.079224f, 0.086426f, 0.094238f, 0.102966f,
		0.111938f, 0.122253f, 0.132568f, 0.143555f, 0.155884f, 0.168945f, 0.182861f, 0.197510f, 0.213379f, 0.229492f, 0.246948f, 0.264648f,
		0.283203f, 0.303467f, 0.322998f, 0.343994f, 0.365479f, 0.387451f, 0.409912f, 0.432129f, 0.455078f, 0.478760f, 0.501465f, 0.523926f,
		0.547852f, 0.570801f, 0.593750f, 0.616211f, 0.639160f, 0.661133f, 0.682617f, 0.703613f, 0.725098f, 0.745117f, 0.888672f, 0.896484f,
		0.896973f, 0.895020f, 0.895508f, 0.893555f, 0.001051f, 0.002956f, 0.005398f, 0.007523f, 0.009613f, 0.012024f, 0.014725f, 0.017059f,
		0.019714f, 0.022537f, 0.025681f, 0.029236f, 0.032715f, 0.036102f, 0.040100f, 0.043945f, 0.048859f, 0.053772f, 0.058838f, 0.064880f,
		0.070862f, 0.077576f, 0.084839f, 0.092712f, 0.101013f, 0.110229f, 0.119446f, 0.130005f, 0.141113f, 0.153198f, 0.166016f, 0.179565f,
		0.193970f, 0.209351f, 0.225830f, 0.242920f, 0.261230f, 0.280273f, 0.299316f, 0.320068f, 0.341309f, 0.363037f, 0.384521f, 0.407227f,
		0.429443f, 0.453369f, 0.477051f, 0.500977f, 0.524414f, 0.547852f, 0.571777f, 0.595215f, 0.619141f, 0.641602f, 0.664062f, 0.686035f,
		0.707520f, 0.729004f, 0.882812f, 0.891602f, 0.891113f, 0.890625f, 0.889160f, 0.888184f, 0.000934f, 0.002998f, 0.004883f, 0.006859f,
		0.009102f, 0.010925f, 0.012871f, 0.015656f, 0.017853f, 0.020767f, 0.023422f, 0.026413f, 0.029251f, 0.032593f, 0.036011f, 0.039825f,
		0.044495f, 0.048645f, 0.053284f, 0.058258f, 0.063782f, 0.069885f, 0.076111f, 0.083313f, 0.090881f, 0.099060f, 0.107788f, 0.117126f,
		0.127075f, 0.138428f, 0.150391f, 0.162720f, 0.176270f, 0.190796f, 0.206177f, 0.222290f, 0.239624f, 0.257568f, 0.276367f, 0.296387f,
		0.316895f, 0.338623f, 0.360352f, 0.382812f, 0.404785f, 0.428467f, 0.452148f, 0.476562f, 0.500488f, 0.524902f, 0.548828f, 0.572754f,
		0.597168f, 0.621094f, 0.644531f, 0.667480f, 0.689941f, 0.712402f, 0.875977f, 0.883789f, 0.884766f, 0.884766f, 0.883301f, 0.883789f,
		0.001108f, 0.002474f, 0.004707f, 0.006248f, 0.007744f, 0.009888f, 0.011787f, 0.014244f, 0.016205f, 0.018631f, 0.021286f, 0.023758f,
		0.026535f, 0.029510f, 0.032654f, 0.035919f, 0.039825f, 0.043762f, 0.047852f, 0.052368f, 0.057373f, 0.062561f, 0.068604f, 0.074707f,
		0.081360f, 0.088623f, 0.096802f, 0.105103f, 0.114624f, 0.124573f, 0.135498f, 0.147217f, 0.159424f, 0.172729f, 0.187378f, 0.202881f,
		0.219116f, 0.235962f, 0.254639f, 0.273438f, 0.293945f, 0.314453f, 0.335449f, 0.358154f, 0.380371f, 0.403564f, 0.428223f, 0.452148f,
		0.476074f, 0.500977f, 0.525879f, 0.550293f, 0.575195f, 0.599609f, 0.625000f, 0.649414f, 0.672852f, 0.695801f, 0.870117f, 0.879395f,
		0.879883f, 0.879395f, 0.878906f, 0.877441f, 0.000877f, 0.002495f, 0.003918f, 0.005669f, 0.007484f, 0.009148f, 0.010895f, 0.012634f,
		0.014717f, 0.017014f, 0.019302f, 0.021347f, 0.023849f, 0.026443f, 0.029388f, 0.032532f, 0.035492f, 0.039185f, 0.042816f, 0.046906f,
		0.051453f, 0.056122f, 0.061310f, 0.066895f, 0.072937f, 0.079590f, 0.086548f, 0.094360f, 0.103027f, 0.111938f, 0.121643f, 0.132568f,
		0.144043f, 0.156006f, 0.169434f, 0.184204f, 0.199341f, 0.215698f, 0.233032f, 0.251221f, 0.269531f, 0.290039f, 0.311768f, 0.333740f,
		0.355957f, 0.379395f, 0.402344f, 0.426758f, 0.451172f, 0.476562f, 0.501465f, 0.526855f, 0.552246f, 0.578613f, 0.603516f, 0.629395f,
		0.653809f, 0.679199f, 0.863281f, 0.872559f, 0.874023f, 0.873535f, 0.872559f, 0.871094f, 0.000779f, 0.002241f, 0.003813f, 0.005371f,
		0.006763f, 0.008186f, 0.009827f, 0.011574f, 0.013260f, 0.015274f, 0.017303f, 0.019119f, 0.021362f, 0.023972f, 0.026505f, 0.029144f,
		0.031860f, 0.035126f, 0.038422f, 0.041809f, 0.045929f, 0.050323f, 0.054840f, 0.059631f, 0.065002f, 0.070984f, 0.077759f, 0.084656f,
		0.091736f, 0.100037f, 0.109436f, 0.118835f, 0.129272f, 0.140625f, 0.152832f, 0.166138f, 0.180786f, 0.195679f, 0.211914f, 0.229736f,
		0.247803f, 0.267822f, 0.287598f, 0.309326f, 0.331055f, 0.354492f, 0.377686f, 0.401855f, 0.426270f, 0.451660f, 0.477051f, 0.503418f,
		0.529785f, 0.555664f, 0.583008f, 0.608887f, 0.635254f, 0.661133f, 0.855957f, 0.865234f, 0.866699f, 0.867188f, 0.866211f, 0.865723f,
		0.000778f, 0.002155f, 0.003584f, 0.004871f, 0.006149f, 0.007519f, 0.008858f, 0.010498f, 0.012100f, 0.013977f, 0.015511f, 0.017303f,
		0.019363f, 0.021515f, 0.023880f, 0.026230f, 0.028564f, 0.031555f, 0.034241f, 0.037476f, 0.041138f, 0.044983f, 0.048859f, 0.053436f,
		0.058014f, 0.063232f, 0.069214f, 0.075195f, 0.081848f, 0.089417f, 0.097168f, 0.106201f, 0.115479f, 0.126343f, 0.137695f, 0.149658f,
		0.162476f, 0.177002f, 0.192993f, 0.209473f, 0.226440f, 0.245239f, 0.264404f, 0.285156f, 0.306885f, 0.330078f, 0.353271f, 0.376465f,
		0.402100f, 0.426758f, 0.453857f, 0.479492f, 0.505859f, 0.532715f, 0.560547f, 0.587402f, 0.614258f, 0.640137f, 0.847168f, 0.858398f,
		0.860352f, 0.859863f, 0.859863f, 0.858887f, 0.000673f, 0.002026f, 0.003120f, 0.004242f, 0.005390f, 0.006874f, 0.008087f, 0.009346f,
		0.011192f, 0.012642f, 0.013855f, 0.015511f, 0.017502f, 0.019394f, 0.021301f, 0.023331f, 0.025681f, 0.028137f, 0.030792f, 0.033295f,
		0.036804f, 0.039917f, 0.043488f, 0.047363f, 0.051880f, 0.056580f, 0.061646f, 0.066956f, 0.072998f, 0.079407f, 0.086609f, 0.094971f,
		0.103027f, 0.112793f, 0.122742f, 0.134399f, 0.146118f, 0.159058f, 0.173828f, 0.188599f, 0.205444f, 0.223633f, 0.241943f, 0.262451f,
		0.283203f, 0.304932f, 0.328369f, 0.352051f, 0.376953f, 0.402100f, 0.428467f, 0.454834f, 0.481934f, 0.509766f, 0.537598f, 0.566406f,
		0.594238f, 0.622559f, 0.838867f, 0.852051f, 0.853516f, 0.853027f, 0.853027f, 0.852051f, 0.000419f, 0.001721f, 0.003044f, 0.003881f,
		0.005161f, 0.006329f, 0.007500f, 0.009117f, 0.009941f, 0.011147f, 0.013023f, 0.014053f, 0.015869f, 0.017181f, 0.018906f, 0.020889f,
		0.023026f, 0.025085f, 0.027435f, 0.029724f, 0.032440f, 0.035492f, 0.038605f, 0.042175f, 0.045898f, 0.049988f, 0.054504f, 0.059143f,
		0.064697f, 0.070435f, 0.076721f, 0.083984f, 0.091675f, 0.100037f, 0.109009f, 0.119629f, 0.130737f, 0.143066f, 0.156250f, 0.170654f,
		0.186157f, 0.202393f, 0.220825f, 0.239990f, 0.259521f, 0.281250f, 0.303467f, 0.327148f, 0.351318f, 0.376953f, 0.402832f, 0.430664f,
		0.458252f, 0.485596f, 0.514648f, 0.543457f, 0.572754f, 0.602051f, 0.830566f, 0.844238f, 0.845703f, 0.845703f, 0.845703f, 0.845215f,
		0.000503f, 0.001644f, 0.002455f, 0.003765f, 0.004906f, 0.005901f, 0.006805f, 0.007744f, 0.008789f, 0.009972f, 0.011314f, 0.012688f,
		0.014160f, 0.015480f, 0.016953f, 0.018555f, 0.020325f, 0.022232f, 0.024338f, 0.026535f, 0.028717f, 0.031403f, 0.034119f, 0.037384f,
		0.040680f, 0.044128f, 0.047943f, 0.052551f, 0.057098f, 0.062134f, 0.067871f, 0.074158f, 0.081543f, 0.088684f, 0.097107f, 0.106262f,
		0.116028f, 0.127563f, 0.139404f, 0.152344f, 0.167358f, 0.182739f, 0.199951f, 0.217773f, 0.237427f, 0.257812f, 0.279541f, 0.303223f,
		0.327148f, 0.351807f, 0.377441f, 0.405518f, 0.433105f, 0.460449f, 0.491211f, 0.520020f, 0.550293f, 0.581543f, 0.821777f, 0.835938f,
		0.837891f, 0.838867f, 0.838867f, 0.837891f, 0.000649f, 0.001432f, 0.002455f, 0.003469f, 0.004162f, 0.005192f, 0.006046f, 0.007053f,
		0.007919f, 0.009148f, 0.010185f, 0.011490f, 0.012558f, 0.013748f, 0.015083f, 0.016663f, 0.018341f, 0.019897f, 0.021561f, 0.023376f,
		0.025513f, 0.027725f, 0.030075f, 0.032745f, 0.035583f, 0.038544f, 0.041901f, 0.045898f, 0.049896f, 0.054443f, 0.059784f, 0.065186f,
		0.071228f, 0.078247f, 0.085632f, 0.093872f, 0.103088f, 0.113098f, 0.123840f, 0.135986f, 0.148682f, 0.163696f, 0.179321f, 0.196533f,
		0.214722f, 0.234985f, 0.256104f, 0.278320f, 0.302246f, 0.326660f, 0.352783f, 0.379395f, 0.406738f, 0.436279f, 0.465820f, 0.496338f,
		0.527344f, 0.559082f, 0.813477f, 0.827148f, 0.829590f, 0.830566f, 0.830566f, 0.829590f, 0.000427f, 0.001431f, 0.002077f, 0.002947f,
		0.004009f, 0.004860f, 0.005501f, 0.006416f, 0.007008f, 0.008171f, 0.009155f, 0.010063f, 0.011154f, 0.012474f, 0.013336f, 0.014793f,
		0.016006f, 0.017471f, 0.019119f, 0.020630f, 0.022079f, 0.024078f, 0.026505f, 0.028687f, 0.031128f, 0.033813f, 0.036804f, 0.040283f,
		0.043732f, 0.047882f, 0.052094f, 0.057281f, 0.062500f, 0.068726f, 0.075012f, 0.082581f, 0.090393f, 0.099487f, 0.109375f, 0.120728f,
		0.131958f, 0.145508f, 0.160278f, 0.176025f, 0.193848f, 0.212891f, 0.232788f, 0.253906f, 0.277344f, 0.302002f, 0.327637f, 0.354248f,
		0.382080f, 0.411621f, 0.441162f, 0.472656f, 0.504395f, 0.536621f, 0.803223f, 0.818359f, 0.821777f, 0.821777f, 0.822266f, 0.821777f,
		0.000574f, 0.001416f, 0.001961f, 0.002621f, 0.003527f, 0.004250f, 0.004894f, 0.005653f, 0.006340f, 0.007263f, 0.008255f, 0.008965f,
		0.009819f, 0.010857f, 0.011864f, 0.012917f, 0.014114f, 0.015358f, 0.016678f, 0.018005f, 0.019669f, 0.021347f, 0.023239f, 0.025070f,
		0.027267f, 0.029434f, 0.032318f, 0.035156f, 0.038269f, 0.041534f, 0.045624f, 0.049469f, 0.054321f, 0.059479f, 0.065369f, 0.071655f,
		0.078857f, 0.086853f, 0.095886f, 0.105652f, 0.116943f, 0.128662f, 0.142090f, 0.156860f, 0.173096f, 0.190918f, 0.210327f, 0.231201f,
		0.253418f, 0.277100f, 0.302490f, 0.328369f, 0.356445f, 0.385254f, 0.415771f, 0.446533f, 0.479736f, 0.513184f, 0.794434f, 0.810547f,
		0.812500f, 0.813477f, 0.812988f, 0.813477f, 0.000417f, 0.001152f, 0.002066f, 0.002480f, 0.003115f, 0.003778f, 0.004543f, 0.005001f,
		0.005936f, 0.006420f, 0.007130f, 0.007881f, 0.008789f, 0.009666f, 0.010605f, 0.011276f, 0.012352f, 0.013367f, 0.014626f, 0.015732f,
		0.017090f, 0.018509f, 0.020096f, 0.021759f, 0.023895f, 0.025681f, 0.027740f, 0.030121f, 0.032776f, 0.036011f, 0.039276f, 0.042694f,
		0.046906f, 0.051575f, 0.056488f, 0.061951f, 0.068481f, 0.075684f, 0.083191f, 0.092102f, 0.101990f, 0.112915f, 0.125122f, 0.138672f,
		0.153564f, 0.170410f, 0.188477f, 0.208008f, 0.229980f, 0.252441f, 0.276855f, 0.303711f, 0.331055f, 0.360596f, 0.391357f, 0.422607f,
		0.456299f, 0.490234f, 0.783203f, 0.799805f, 0.803223f, 0.804688f, 0.804199f, 0.805176f, 0.000422f, 0.000885f, 0.001743f, 0.002075f,
		0.002930f, 0.003460f, 0.004105f, 0.004696f, 0.005257f, 0.005753f, 0.006550f, 0.006916f, 0.007805f, 0.008308f, 0.009109f, 0.010056f,
		0.010918f, 0.011627f, 0.012787f, 0.013725f, 0.014732f, 0.016113f, 0.017319f, 0.018906f, 0.020264f, 0.022324f, 0.023911f, 0.026230f,
		0.028183f, 0.030884f, 0.033661f, 0.036865f, 0.040314f, 0.044189f, 0.048615f, 0.053284f, 0.058838f, 0.065491f, 0.072205f, 0.079651f,
		0.088379f, 0.098389f, 0.109314f, 0.121765f, 0.135010f, 0.150513f, 0.167358f, 0.186035f, 0.206543f, 0.228516f, 0.252197f, 0.278320f,
		0.305176f, 0.333496f, 0.364746f, 0.396973f, 0.430176f, 0.465820f, 0.772949f, 0.790527f, 0.794434f, 0.794922f, 0.795410f, 0.794922f,
		0.000211f, 0.000970f, 0.001484f, 0.002035f, 0.002586f, 0.003040f, 0.003540f, 0.004086f, 0.004696f, 0.005016f, 0.005508f, 0.006100f,
		0.006763f, 0.007401f, 0.008011f, 0.008675f, 0.009247f, 0.010071f, 0.011009f, 0.011940f, 0.012802f, 0.013870f, 0.014771f, 0.016281f,
		0.017487f, 0.018890f, 0.020584f, 0.022171f, 0.024200f, 0.026505f, 0.028870f, 0.031372f, 0.034363f, 0.037659f, 0.041412f, 0.045685f,
		0.050262f, 0.055664f, 0.061768f, 0.068359f, 0.076172f, 0.084717f, 0.094666f, 0.105835f, 0.117798f, 0.131958f, 0.147095f, 0.164795f,
		0.184326f, 0.204956f, 0.228271f, 0.253174f, 0.279785f, 0.307861f, 0.338379f, 0.370361f, 0.404785f, 0.440430f, 0.761230f, 0.780273f,
		0.783691f, 0.785645f, 0.786133f, 0.785156f, 0.000281f, 0.000954f, 0.001275f, 0.001745f, 0.002159f, 0.002810f, 0.003002f, 0.003622f,
		0.003918f, 0.004471f, 0.004776f, 0.005352f, 0.005852f, 0.006298f, 0.006989f, 0.007339f, 0.008087f, 0.008698f, 0.009499f, 0.010208f,
		0.010986f, 0.011871f, 0.012802f, 0.013809f, 0.014923f, 0.016129f, 0.017624f, 0.018753f, 0.020645f, 0.022156f, 0.024399f, 0.026382f,
		0.029037f, 0.031769f, 0.034851f, 0.038513f, 0.042542f, 0.047180f, 0.052063f, 0.058136f, 0.064819f, 0.072205f, 0.080933f, 0.090698f,
		0.101685f, 0.114441f, 0.128784f, 0.144287f, 0.162476f, 0.182617f, 0.203979f, 0.228149f, 0.253906f, 0.282227f, 0.312744f, 0.344482f,
		0.378418f, 0.415039f, 0.749023f, 0.770020f, 0.773438f, 0.774902f, 0.775391f, 0.776367f, 0.000200f, 0.000790f, 0.001209f, 0.001475f,
		0.002022f, 0.002375f, 0.002754f, 0.003136f, 0.003532f, 0.003851f, 0.004253f, 0.004719f, 0.004864f, 0.005455f, 0.005749f, 0.006435f,
		0.007053f, 0.007557f, 0.007988f, 0.008614f, 0.009216f, 0.010101f, 0.010712f, 0.011604f, 0.012596f, 0.013588f, 0.014877f, 0.016052f,
		0.017334f, 0.018753f, 0.020401f, 0.022415f, 0.024338f, 0.026642f, 0.029282f, 0.032196f, 0.035461f, 0.039215f, 0.043854f, 0.048706f,
		0.054413f, 0.060913f, 0.068237f, 0.076965f, 0.086792f, 0.097961f, 0.110657f, 0.125488f, 0.141846f, 0.160278f, 0.180542f, 0.203857f,
		0.229004f, 0.256348f, 0.286133f, 0.317627f, 0.351807f, 0.388184f, 0.737305f, 0.757812f, 0.762695f, 0.763672f, 0.764160f, 0.764648f,
		0.000214f, 0.000700f, 0.001134f, 0.001480f, 0.001724f, 0.002056f, 0.002468f, 0.002672f, 0.003069f, 0.003412f, 0.003618f, 0.003883f,
		0.004265f, 0.004627f, 0.004971f, 0.005508f, 0.005817f, 0.006397f, 0.006866f, 0.007244f, 0.007812f, 0.008446f, 0.009003f, 0.009872f,
		0.010544f, 0.011345f, 0.012375f, 0.013321f, 0.014275f, 0.015587f, 0.017075f, 0.018372f, 0.020050f, 0.022186f, 0.024246f, 0.026596f,
		0.029388f, 0.032562f, 0.036285f, 0.040344f, 0.045197f, 0.050568f, 0.056946f, 0.064514f, 0.072876f, 0.082886f, 0.093933f, 0.107056f,
		0.122070f, 0.139404f, 0.158325f, 0.180176f, 0.204590f, 0.231201f, 0.260010f, 0.290771f, 0.325195f, 0.361816f, 0.726074f, 0.747070f,
		0.751465f, 0.753418f, 0.753906f, 0.754395f, 0.000187f, 0.000637f, 0.001095f, 0.001133f, 0.001488f, 0.001872f, 0.002007f, 0.002253f,
		0.002590f, 0.002880f, 0.003010f, 0.003420f, 0.003593f, 0.003914f, 0.004322f, 0.004650f, 0.005051f, 0.005424f, 0.005733f, 0.006134f,
		0.006683f, 0.007183f, 0.007671f, 0.008072f, 0.008720f, 0.009483f, 0.010201f, 0.011070f, 0.011871f, 0.012863f, 0.013924f, 0.015167f,
		0.016434f, 0.018143f, 0.019669f, 0.021851f, 0.024109f, 0.026749f, 0.029587f, 0.033020f, 0.037109f, 0.041718f, 0.047119f, 0.053192f,
		0.060516f, 0.068848f, 0.078857f, 0.090149f, 0.104004f, 0.119202f, 0.136841f, 0.157471f, 0.180420f, 0.205322f, 0.234009f, 0.264648f,
		0.297852f, 0.335449f, 0.711914f, 0.735352f, 0.740234f, 0.741211f, 0.742676f, 0.742676f, 0.000201f, 0.000676f, 0.000884f, 0.001044f,
		0.001369f, 0.001633f, 0.001786f, 0.002001f, 0.002237f, 0.002460f, 0.002680f, 0.002777f, 0.003117f, 0.003408f, 0.003632f, 0.003910f,
		0.004211f, 0.004375f, 0.004772f, 0.005226f, 0.005520f, 0.005909f, 0.006302f, 0.006882f, 0.007385f, 0.007858f, 0.008553f, 0.008919f,
		0.009827f, 0.010582f, 0.011398f, 0.012520f, 0.013611f, 0.014725f, 0.016190f, 0.017593f, 0.019424f, 0.021622f, 0.023941f, 0.026703f,
		0.029938f, 0.033539f, 0.038055f, 0.043243f, 0.049408f, 0.056519f, 0.065002f, 0.074951f, 0.086548f, 0.100403f, 0.116394f, 0.135132f,
		0.156860f, 0.181030f, 0.208252f, 0.238281f, 0.271240f, 0.307861f, 0.698730f, 0.722656f, 0.727539f, 0.729980f, 0.730957f, 0.730469f,
		0.000185f, 0.000371f, 0.000784f, 0.001028f, 0.001153f, 0.001304f, 0.001567f, 0.001792f, 0.001790f, 0.002028f, 0.002283f, 0.002424f,
		0.002640f, 0.002764f, 0.003044f, 0.003313f, 0.003445f, 0.003748f, 0.004044f, 0.004337f, 0.004677f, 0.004879f, 0.005207f, 0.005661f,
		0.006027f, 0.006481f, 0.006870f, 0.007454f, 0.007874f, 0.008583f, 0.009239f, 0.009880f, 0.010849f, 0.011871f, 0.012833f, 0.014153f,
		0.015656f, 0.017151f, 0.018967f, 0.021118f, 0.023621f, 0.026703f, 0.030197f, 0.034576f, 0.039368f, 0.045441f, 0.052460f, 0.061157f,
		0.070862f, 0.083069f, 0.097290f, 0.114441f, 0.134155f, 0.157104f, 0.182983f, 0.212158f, 0.244507f, 0.281250f, 0.684570f, 0.710449f,
		0.715332f, 0.717285f, 0.717773f, 0.718750f, 0.000109f, 0.000455f, 0.000558f, 0.000757f, 0.000986f, 0.001166f, 0.001298f, 0.001310f,
		0.001566f, 0.001614f, 0.001852f, 0.001933f, 0.002062f, 0.002327f, 0.002571f, 0.002699f, 0.002909f, 0.003057f, 0.003254f, 0.003496f,
		0.003643f, 0.004066f, 0.004295f, 0.004665f, 0.004822f, 0.005161f, 0.005722f, 0.006008f, 0.006424f, 0.006897f, 0.007435f, 0.008049f,
		0.008789f, 0.009529f, 0.010284f, 0.011177f, 0.012321f, 0.013466f, 0.014885f, 0.016586f, 0.018417f, 0.020844f, 0.023575f, 0.026810f,
		0.030655f, 0.035400f, 0.041412f, 0.048462f, 0.056976f, 0.067322f, 0.079712f, 0.094543f, 0.112610f, 0.133789f, 0.158691f, 0.186279f,
		0.217896f, 0.253418f, 0.670898f, 0.696777f, 0.702148f, 0.704590f, 0.705078f, 0.705566f, 0.000000f, 0.000317f, 0.000556f, 0.000619f,
		0.000759f, 0.000889f, 0.001012f, 0.001163f, 0.001282f, 0.001353f, 0.001531f, 0.001621f, 0.001681f, 0.001862f, 0.001976f, 0.002140f,
		0.002392f, 0.002502f, 0.002745f, 0.002838f, 0.003019f, 0.003311f, 0.003477f, 0.003639f, 0.003889f, 0.004166f, 0.004429f, 0.004784f,
		0.005119f, 0.005547f, 0.006042f, 0.006317f, 0.006901f, 0.007442f, 0.008110f, 0.008751f, 0.009583f, 0.010590f, 0.011566f, 0.012894f,
		0.014404f, 0.015930f, 0.018158f, 0.020569f, 0.023697f, 0.027374f, 0.031830f, 0.037567f, 0.044434f, 0.053009f, 0.063599f, 0.076538f,
		0.092346f, 0.111511f, 0.134521f, 0.161133f, 0.191772f, 0.227173f, 0.654297f, 0.684082f, 0.687988f, 0.690918f, 0.691895f, 0.691895f,
		0.000000f, 0.000275f, 0.000368f, 0.000572f, 0.000683f, 0.000731f, 0.000877f, 0.000979f, 0.001039f, 0.001091f, 0.001234f, 0.001332f,
		0.001447f, 0.001547f, 0.001601f, 0.001760f, 0.001790f, 0.002007f, 0.002119f, 0.002245f, 0.002493f, 0.002565f, 0.002747f, 0.002920f,
		0.003168f, 0.003235f, 0.003551f, 0.003830f, 0.004040f, 0.004368f, 0.004658f, 0.005001f, 0.005337f, 0.005798f, 0.006287f, 0.006794f,
		0.007488f, 0.008087f, 0.008865f, 0.009773f, 0.010963f, 0.012199f, 0.013649f, 0.015610f, 0.017822f, 0.020493f, 0.023849f, 0.028320f,
		0.033752f, 0.040466f, 0.049377f, 0.060028f, 0.073853f, 0.090698f, 0.111572f, 0.136841f, 0.166016f, 0.199341f, 0.640137f, 0.667969f,
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		0.177246f, 0.201050f, 0.224121f, 0.247925f, 0.271240f, 0.295410f, 0.318359f, 0.341797f, 0.365234f, 0.387939f, 0.410156f, 0.432861f,
		0.454590f, 0.475586f, 0.495850f, 0.517090f, 0.536621f, 0.556152f, 0.575195f, 0.592773f, 0.609863f, 0.628418f, 0.645020f, 0.661133f,
		0.677246f, 0.692383f, 0.707520f, 0.721191f, 0.735352f, 0.748047f, 0.762207f, 0.774414f, 0.786621f, 0.798828f, 0.810547f, 0.820801f,
		0.831543f, 0.842285f, 0.852539f, 0.862305f, 0.871094f, 0.880859f, 0.889648f, 0.898438f, 0.906738f, 0.914551f, 0.921875f, 0.929199f,
		0.936035f, 0.944824f, 0.971191f, 0.965332f, 0.959473f, 0.955078f, 0.950195f, 0.945801f, 0.008041f, 0.024384f, 0.041321f, 0.059631f,
		0.078003f, 0.097656f, 0.117554f, 0.138428f, 0.159912f, 0.181152f, 0.203003f, 0.224976f, 0.247070f, 0.269531f, 0.292480f, 0.314697f,
		0.337891f, 0.360352f, 0.382324f, 0.403809f, 0.426025f, 0.447998f, 0.468018f, 0.488770f, 0.508301f, 0.528320f, 0.547852f, 0.567383f,
		0.585449f, 0.603516f, 0.620605f, 0.637695f, 0.654297f, 0.670410f, 0.686523f, 0.700195f, 0.715820f, 0.729980f, 0.743164f, 0.756836f,
		0.769531f, 0.782715f, 0.794434f, 0.805664f, 0.816895f, 0.827637f, 0.838379f, 0.848633f, 0.859375f, 0.868164f, 0.877930f, 0.887695f,
		0.895996f, 0.905273f, 0.912598f, 0.920898f, 0.928711f, 0.936035f, 0.966797f, 0.962402f, 0.957031f, 0.952637f, 0.947754f, 0.943848f,
		0.007095f, 0.021515f, 0.036926f, 0.052704f, 0.069641f, 0.087463f, 0.105347f, 0.123413f, 0.143188f, 0.163452f, 0.183105f, 0.204102f,
		0.225220f, 0.246704f, 0.268066f, 0.290283f, 0.311768f, 0.333740f, 0.355225f, 0.376465f, 0.397949f, 0.419434f, 0.440430f, 0.461670f,
		0.481445f, 0.500977f, 0.520020f, 0.540527f, 0.559570f, 0.578125f, 0.595703f, 0.613770f, 0.630371f, 0.646973f, 0.663086f, 0.678223f,
		0.694336f, 0.709473f, 0.723145f, 0.736328f, 0.750000f, 0.764648f, 0.777344f, 0.790039f, 0.801270f, 0.812988f, 0.824707f, 0.834961f,
		0.846191f, 0.856934f, 0.865723f, 0.875977f, 0.884766f, 0.894531f, 0.903320f, 0.911621f, 0.919922f, 0.927734f, 0.962891f, 0.959473f,
		0.954102f, 0.949219f, 0.945312f, 0.941406f, 0.006138f, 0.019150f, 0.033051f, 0.047089f, 0.061829f, 0.077515f, 0.094299f, 0.111084f,
		0.128174f, 0.146729f, 0.165771f, 0.185059f, 0.205200f, 0.224731f, 0.245361f, 0.265625f, 0.286865f, 0.307861f, 0.328857f, 0.350098f,
		0.370605f, 0.392090f, 0.413086f, 0.433594f, 0.454346f, 0.474609f, 0.493896f, 0.513672f, 0.532227f, 0.552734f, 0.569824f, 0.588867f,
		0.605957f, 0.623047f, 0.640625f, 0.656738f, 0.672852f, 0.688477f, 0.703613f, 0.717773f, 0.732910f, 0.746582f, 0.759766f, 0.772461f,
		0.786621f, 0.798340f, 0.810059f, 0.820312f, 0.832520f, 0.842773f, 0.853516f, 0.863770f, 0.873535f, 0.883789f, 0.892578f, 0.901367f,
		0.910645f, 0.919434f, 0.958984f, 0.955566f, 0.951172f, 0.946777f, 0.942871f, 0.938965f, 0.005424f, 0.017059f, 0.029541f, 0.042023f,
		0.055389f, 0.069397f, 0.083984f, 0.099670f, 0.115601f, 0.132324f, 0.149292f, 0.167114f, 0.185547f, 0.204468f, 0.224121f, 0.243896f,
		0.262939f, 0.283691f, 0.304443f, 0.323486f, 0.345459f, 0.365479f, 0.386230f, 0.407471f, 0.426758f, 0.448486f, 0.467529f, 0.487061f,
		0.506348f, 0.526367f, 0.545410f, 0.563965f, 0.581543f, 0.600098f, 0.617676f, 0.634277f, 0.650391f, 0.666016f, 0.682617f, 0.697754f,
		0.712891f, 0.727539f, 0.741211f, 0.755859f, 0.769043f, 0.782227f, 0.793945f, 0.806152f, 0.818848f, 0.830566f, 0.840332f, 0.851074f,
		0.861328f, 0.872070f, 0.881836f, 0.892090f, 0.900879f, 0.910645f, 0.955566f, 0.952637f, 0.948730f, 0.943359f, 0.939941f, 0.935547f,
		0.004833f, 0.015442f, 0.026169f, 0.037689f, 0.049683f, 0.062164f, 0.075806f, 0.089539f, 0.103760f, 0.119263f, 0.134888f, 0.151978f,
		0.168335f, 0.186646f, 0.204102f, 0.223022f, 0.242065f, 0.260986f, 0.280518f, 0.300537f, 0.320801f, 0.340820f, 0.360107f, 0.381104f,
		0.401367f, 0.421387f, 0.441650f, 0.460449f, 0.480957f, 0.500000f, 0.519531f, 0.538574f, 0.557129f, 0.575684f, 0.593262f, 0.610840f,
		0.628906f, 0.645508f, 0.662109f, 0.677246f, 0.692871f, 0.708008f, 0.723145f, 0.738281f, 0.751465f, 0.766113f, 0.778320f, 0.791504f,
		0.802246f, 0.816406f, 0.827637f, 0.838867f, 0.850098f, 0.860352f, 0.871582f, 0.881348f, 0.890137f, 0.899902f, 0.951660f, 0.948730f,
		0.944824f, 0.940918f, 0.937012f, 0.933594f, 0.004269f, 0.013809f, 0.023911f, 0.033569f, 0.044342f, 0.056213f, 0.068054f, 0.080811f,
		0.093933f, 0.107910f, 0.122131f, 0.137451f, 0.152710f, 0.169434f, 0.185791f, 0.203979f, 0.221436f, 0.239990f, 0.257812f, 0.277344f,
		0.296631f, 0.316162f, 0.335693f, 0.355713f, 0.375244f, 0.395996f, 0.416016f, 0.436035f, 0.455078f, 0.474365f, 0.494629f, 0.513184f,
		0.532715f, 0.550781f, 0.569336f, 0.586914f, 0.604980f, 0.622559f, 0.639648f, 0.655762f, 0.672363f, 0.688477f, 0.704102f, 0.718750f,
		0.733887f, 0.747559f, 0.761230f, 0.775391f, 0.788574f, 0.800781f, 0.814453f, 0.825684f, 0.837402f, 0.848633f, 0.859375f, 0.870605f,
		0.880371f, 0.891113f, 0.947754f, 0.945312f, 0.941895f, 0.937988f, 0.934082f, 0.931152f, 0.004028f, 0.012581f, 0.021133f, 0.030396f,
		0.039948f, 0.050323f, 0.061523f, 0.072815f, 0.084961f, 0.096985f, 0.110535f, 0.124756f, 0.138916f, 0.153687f, 0.169800f, 0.185669f,
		0.202881f, 0.219116f, 0.237305f, 0.255615f, 0.273926f, 0.293213f, 0.311768f, 0.331055f, 0.351074f, 0.370605f, 0.390381f, 0.409668f,
		0.429688f, 0.449707f, 0.468994f, 0.487549f, 0.506836f, 0.526367f, 0.545898f, 0.562988f, 0.581543f, 0.599121f, 0.616699f, 0.634766f,
		0.651367f, 0.667480f, 0.683594f, 0.699707f, 0.714844f, 0.730957f, 0.744141f, 0.758789f, 0.772949f, 0.785645f, 0.799316f, 0.812500f,
		0.823730f, 0.836914f, 0.847168f, 0.859375f, 0.869629f, 0.880371f, 0.942383f, 0.941406f, 0.937500f, 0.934570f, 0.931152f, 0.927734f,
		0.003613f, 0.011391f, 0.018875f, 0.027679f, 0.036133f, 0.045624f, 0.055420f, 0.065491f, 0.076416f, 0.088135f, 0.099487f, 0.112427f,
		0.126099f, 0.139771f, 0.154419f, 0.169556f, 0.184814f, 0.201050f, 0.218262f, 0.234985f, 0.252441f, 0.271484f, 0.289062f, 0.308594f,
		0.326660f, 0.346924f, 0.365234f, 0.384521f, 0.404541f, 0.424072f, 0.443359f, 0.463135f, 0.482422f, 0.501953f, 0.521484f, 0.539551f,
		0.558594f, 0.576660f, 0.595215f, 0.612793f, 0.629883f, 0.647949f, 0.663574f, 0.679688f, 0.695801f, 0.711426f, 0.727539f, 0.741699f,
		0.757324f, 0.770996f, 0.785156f, 0.798828f, 0.811035f, 0.823730f, 0.835449f, 0.848145f, 0.858887f, 0.870605f, 0.937988f, 0.937988f,
		0.934570f, 0.931152f, 0.927734f, 0.924805f, 0.003248f, 0.010185f, 0.017395f, 0.025055f, 0.032928f, 0.041321f, 0.049957f, 0.059265f,
		0.069092f, 0.079407f, 0.090820f, 0.101746f, 0.113770f, 0.126953f, 0.140381f, 0.154053f, 0.168701f, 0.184082f, 0.199951f, 0.216431f,
		0.232788f, 0.250000f, 0.267578f, 0.285645f, 0.303955f, 0.322998f, 0.341553f, 0.361084f, 0.379150f, 0.399414f, 0.418701f, 0.437988f,
		0.457275f, 0.477051f, 0.496094f, 0.515137f, 0.534180f, 0.553223f, 0.571289f, 0.589844f, 0.606934f, 0.625488f, 0.643066f, 0.659668f,
		0.676758f, 0.692871f, 0.708984f, 0.725098f, 0.740234f, 0.753906f, 0.769043f, 0.782227f, 0.796387f, 0.810059f, 0.822266f, 0.834961f,
		0.847168f, 0.859375f, 0.933594f, 0.933594f, 0.931152f, 0.927246f, 0.923828f, 0.921387f, 0.002914f, 0.009361f, 0.015793f, 0.022659f,
		0.029938f, 0.037354f, 0.045593f, 0.053406f, 0.062988f, 0.072083f, 0.081665f, 0.092712f, 0.103943f, 0.114990f, 0.128174f, 0.140503f,
		0.153809f, 0.167725f, 0.182251f, 0.198242f, 0.213623f, 0.230225f, 0.246826f, 0.263672f, 0.281494f, 0.300049f, 0.318604f, 0.337158f,
		0.356201f, 0.374756f, 0.394531f, 0.413574f, 0.433105f, 0.451904f, 0.471680f, 0.491211f, 0.509766f, 0.529297f, 0.547852f, 0.566895f,
		0.584961f, 0.603516f, 0.621094f, 0.638672f, 0.656738f, 0.673340f, 0.689453f, 0.706543f, 0.722656f, 0.737793f, 0.752930f, 0.767578f,
		0.781250f, 0.796875f, 0.809082f, 0.823242f, 0.835449f, 0.847656f, 0.929199f, 0.929199f, 0.927246f, 0.923828f, 0.920898f, 0.917969f,
		0.002766f, 0.008736f, 0.014442f, 0.020691f, 0.027054f, 0.033905f, 0.040924f, 0.048645f, 0.056976f, 0.065674f, 0.074951f, 0.084229f,
		0.094116f, 0.105225f, 0.116333f, 0.127563f, 0.139771f, 0.153564f, 0.166626f, 0.181030f, 0.196411f, 0.211182f, 0.227417f, 0.243896f,
		0.260742f, 0.277588f, 0.295898f, 0.314209f, 0.332031f, 0.351562f, 0.370117f, 0.389404f, 0.408203f, 0.428223f, 0.447266f, 0.467041f,
		0.486084f, 0.505859f, 0.524414f, 0.543945f, 0.562012f, 0.581543f, 0.600098f, 0.617676f, 0.636230f, 0.654297f, 0.670898f, 0.687500f,
		0.704102f, 0.720703f, 0.736816f, 0.751465f, 0.766113f, 0.781738f, 0.796387f, 0.809082f, 0.823242f, 0.835938f, 0.923828f, 0.925781f,
		0.922852f, 0.920410f, 0.916992f, 0.914551f, 0.002483f, 0.007599f, 0.013161f, 0.018555f, 0.024551f, 0.030670f, 0.037476f, 0.044464f,
		0.051636f, 0.059174f, 0.067688f, 0.075928f, 0.085693f, 0.095093f, 0.105591f, 0.116394f, 0.127441f, 0.139648f, 0.152344f, 0.165527f,
		0.179565f, 0.193970f, 0.208862f, 0.224487f, 0.240356f, 0.256836f, 0.274658f, 0.291748f, 0.310059f, 0.328369f, 0.346680f, 0.365234f,
		0.384521f, 0.404297f, 0.423340f, 0.442139f, 0.462646f, 0.481445f, 0.500977f, 0.520020f, 0.540039f, 0.559082f, 0.577148f, 0.596191f,
		0.614746f, 0.632812f, 0.651367f, 0.669434f, 0.685059f, 0.702637f, 0.718750f, 0.734375f, 0.750488f, 0.766113f, 0.780762f, 0.795410f,
		0.811035f, 0.823730f, 0.919434f, 0.920898f, 0.918457f, 0.916016f, 0.913086f, 0.910645f, 0.002457f, 0.007114f, 0.011757f, 0.016708f,
		0.022125f, 0.027786f, 0.033752f, 0.040375f, 0.046661f, 0.053864f, 0.061584f, 0.069336f, 0.077515f, 0.086365f, 0.095947f, 0.105896f,
		0.116638f, 0.127075f, 0.138916f, 0.151245f, 0.164062f, 0.177490f, 0.191528f, 0.206177f, 0.221802f, 0.237427f, 0.253906f, 0.270508f,
		0.287842f, 0.305664f, 0.323730f, 0.342285f, 0.361572f, 0.379639f, 0.399170f, 0.418457f, 0.438965f, 0.458252f, 0.477295f, 0.497559f,
		0.516113f, 0.536133f, 0.554688f, 0.574707f, 0.593750f, 0.612305f, 0.630859f, 0.648926f, 0.666504f, 0.684082f, 0.701660f, 0.717773f,
		0.734863f, 0.751465f, 0.766602f, 0.781738f, 0.797852f, 0.812012f, 0.913086f, 0.916016f, 0.913574f, 0.911621f, 0.909180f, 0.906250f,
		0.002132f, 0.006493f, 0.010750f, 0.015717f, 0.020569f, 0.025604f, 0.030823f, 0.036682f, 0.043060f, 0.049286f, 0.055786f, 0.062988f,
		0.070557f, 0.078918f, 0.086914f, 0.096191f, 0.105530f, 0.116028f, 0.126953f, 0.138306f, 0.149902f, 0.162231f, 0.175537f, 0.189453f,
		0.203491f, 0.218628f, 0.234131f, 0.250000f, 0.266602f, 0.284180f, 0.301514f, 0.319580f, 0.338135f, 0.356689f, 0.375977f, 0.395020f,
		0.413818f, 0.434082f, 0.452881f, 0.473145f, 0.492920f, 0.512207f, 0.532227f, 0.552246f, 0.570801f, 0.591309f, 0.609375f, 0.629395f,
		0.646973f, 0.665527f, 0.683105f, 0.700684f, 0.717773f, 0.734863f, 0.751465f, 0.767578f, 0.782715f, 0.799316f, 0.908203f, 0.911133f,
		0.909180f, 0.907227f, 0.904785f, 0.902832f, 0.001891f, 0.006008f, 0.010025f, 0.014122f, 0.018616f, 0.023239f, 0.028442f, 0.033691f,
		0.038757f, 0.044556f, 0.050964f, 0.057465f, 0.064087f, 0.071167f, 0.079224f, 0.087463f, 0.096008f, 0.105591f, 0.115356f, 0.125488f,
		0.136597f, 0.148193f, 0.160278f, 0.173218f, 0.186768f, 0.200684f, 0.215332f, 0.231323f, 0.246338f, 0.262939f, 0.279785f, 0.297607f,
		0.314941f, 0.333984f, 0.353271f, 0.371094f, 0.391357f, 0.409668f, 0.430420f, 0.448975f, 0.469482f, 0.489746f, 0.509277f, 0.528809f,
		0.549316f, 0.568848f, 0.588379f, 0.607910f, 0.626953f, 0.645996f, 0.664062f, 0.683105f, 0.700684f, 0.718262f, 0.735840f, 0.751953f,
		0.768555f, 0.785645f, 0.902344f, 0.906250f, 0.904785f, 0.902832f, 0.900391f, 0.898438f, 0.001732f, 0.005573f, 0.009193f, 0.012932f,
		0.017075f, 0.021286f, 0.025406f, 0.030289f, 0.035675f, 0.040344f, 0.046326f, 0.052032f, 0.058411f, 0.064575f, 0.072205f, 0.079834f,
		0.087708f, 0.095947f, 0.104797f, 0.114380f, 0.124451f, 0.134888f, 0.146606f, 0.158691f, 0.170776f, 0.184082f, 0.197510f, 0.212524f,
		0.227417f, 0.243164f, 0.259521f, 0.276367f, 0.293457f, 0.311768f, 0.329590f, 0.348633f, 0.367188f, 0.386230f, 0.406006f, 0.425781f,
		0.446533f, 0.465332f, 0.486084f, 0.505859f, 0.526367f, 0.545898f, 0.567383f, 0.585938f, 0.605957f, 0.625977f, 0.645508f, 0.664551f,
		0.683105f, 0.701172f, 0.718750f, 0.736816f, 0.754395f, 0.770508f, 0.896484f, 0.900879f, 0.900391f, 0.897949f, 0.895996f, 0.894043f,
		0.001713f, 0.004684f, 0.008339f, 0.011818f, 0.015450f, 0.019409f, 0.023605f, 0.027832f, 0.032349f, 0.036865f, 0.041809f, 0.047302f,
		0.052673f, 0.058838f, 0.065613f, 0.072083f, 0.079407f, 0.087280f, 0.095337f, 0.104126f, 0.113037f, 0.122986f, 0.133667f, 0.144897f,
		0.156250f, 0.168579f, 0.181396f, 0.195068f, 0.208984f, 0.224243f, 0.239624f, 0.255859f, 0.272461f, 0.289551f, 0.307617f, 0.326172f,
		0.344482f, 0.363770f, 0.383301f, 0.402588f, 0.422607f, 0.443115f, 0.463135f, 0.483154f, 0.503418f, 0.523926f, 0.544434f, 0.564941f,
		0.584473f, 0.604980f, 0.624512f, 0.645508f, 0.664551f, 0.683594f, 0.701660f, 0.721191f, 0.738281f, 0.755859f, 0.889648f, 0.895996f,
		0.895020f, 0.893066f, 0.891602f, 0.889160f, 0.001545f, 0.004745f, 0.007710f, 0.010979f, 0.014450f, 0.017807f, 0.021469f, 0.025238f,
		0.029282f, 0.033661f, 0.038177f, 0.043182f, 0.048157f, 0.053436f, 0.059326f, 0.065674f, 0.072205f, 0.078857f, 0.086548f, 0.094604f,
		0.102905f, 0.111816f, 0.121521f, 0.131592f, 0.142334f, 0.153442f, 0.165894f, 0.178345f, 0.192139f, 0.205933f, 0.220703f, 0.236084f,
		0.251709f, 0.268555f, 0.285645f, 0.303467f, 0.321777f, 0.340332f, 0.359619f, 0.379150f, 0.398682f, 0.419189f, 0.440430f, 0.460449f,
		0.480957f, 0.501465f, 0.521973f, 0.543457f, 0.563477f, 0.584961f, 0.604492f, 0.625488f, 0.645508f, 0.665039f, 0.684082f, 0.704102f,
		0.723145f, 0.741211f, 0.885254f, 0.890137f, 0.889160f, 0.887695f, 0.886719f, 0.884277f, 0.001487f, 0.004356f, 0.006828f, 0.010162f,
		0.012993f, 0.016022f, 0.019333f, 0.023087f, 0.026886f, 0.030518f, 0.034668f, 0.039062f, 0.043671f, 0.048370f, 0.053741f, 0.059326f,
		0.065308f, 0.071655f, 0.078125f, 0.085693f, 0.093323f, 0.101807f, 0.110657f, 0.119507f, 0.129517f, 0.140137f, 0.151367f, 0.163330f,
		0.175781f, 0.188843f, 0.202759f, 0.217163f, 0.232666f, 0.248413f, 0.264893f, 0.282227f, 0.299805f, 0.318115f, 0.336914f, 0.356445f,
		0.375488f, 0.395996f, 0.416504f, 0.436279f, 0.457520f, 0.479004f, 0.499023f, 0.520508f, 0.541504f, 0.562988f, 0.583984f, 0.604492f,
		0.625488f, 0.646973f, 0.666504f, 0.687012f, 0.706055f, 0.725098f, 0.877441f, 0.885254f, 0.884766f, 0.882324f, 0.881836f, 0.880371f,
		0.001443f, 0.003807f, 0.006336f, 0.009171f, 0.011909f, 0.015007f, 0.018097f, 0.020905f, 0.024384f, 0.027893f, 0.031555f, 0.035370f,
		0.039581f, 0.044128f, 0.048889f, 0.053894f, 0.059174f, 0.065125f, 0.070984f, 0.077698f, 0.084656f, 0.091919f, 0.100037f, 0.108093f,
		0.117493f, 0.127563f, 0.137817f, 0.148438f, 0.159912f, 0.172485f, 0.185547f, 0.199585f, 0.213867f, 0.229248f, 0.244995f, 0.261230f,
		0.278564f, 0.296387f, 0.314697f, 0.333252f, 0.353271f, 0.372314f, 0.393311f, 0.413330f, 0.433594f, 0.455078f, 0.476318f, 0.497314f,
		0.519531f, 0.540527f, 0.562500f, 0.583496f, 0.605469f, 0.626953f, 0.648438f, 0.669434f, 0.689941f, 0.709961f, 0.870605f, 0.878906f,
		0.878418f, 0.877441f, 0.875488f, 0.873535f, 0.001302f, 0.003712f, 0.005859f, 0.008286f, 0.010910f, 0.013779f, 0.016235f, 0.019135f,
		0.021912f, 0.025345f, 0.029022f, 0.032166f, 0.036011f, 0.040131f, 0.044128f, 0.048492f, 0.053528f, 0.058533f, 0.064209f, 0.070129f,
		0.076355f, 0.083191f, 0.090149f, 0.098328f, 0.106628f, 0.115662f, 0.124817f, 0.134766f, 0.145630f, 0.157104f, 0.169678f, 0.182495f,
		0.195801f, 0.210205f, 0.225342f, 0.241455f, 0.257812f, 0.274902f, 0.292725f, 0.311035f, 0.330322f, 0.349365f, 0.369873f, 0.390137f,
		0.411133f, 0.432373f, 0.453369f, 0.474609f, 0.496826f, 0.519043f, 0.541504f, 0.563477f, 0.585449f, 0.606445f, 0.629395f, 0.650391f,
		0.672363f, 0.693848f, 0.863281f, 0.872070f, 0.872070f, 0.871582f, 0.869629f, 0.868164f, 0.001170f, 0.003151f, 0.005295f, 0.007812f,
		0.010132f, 0.012466f, 0.015076f, 0.017517f, 0.019943f, 0.023178f, 0.026443f, 0.029312f, 0.032471f, 0.036041f, 0.039978f, 0.044037f,
		0.048828f, 0.053070f, 0.057983f, 0.063232f, 0.068909f, 0.075378f, 0.081909f, 0.088745f, 0.096375f, 0.104309f, 0.113281f, 0.122437f,
		0.132202f, 0.142944f, 0.154419f, 0.166138f, 0.178955f, 0.192505f, 0.206421f, 0.221558f, 0.237183f, 0.253906f, 0.270996f, 0.289062f,
		0.308105f, 0.326904f, 0.346924f, 0.366455f, 0.387695f, 0.408936f, 0.430176f, 0.451416f, 0.474365f, 0.496582f, 0.518066f, 0.541016f,
		0.563965f, 0.585938f, 0.608887f, 0.630859f, 0.654297f, 0.675781f, 0.856934f, 0.865234f, 0.866211f, 0.864746f, 0.863281f, 0.862793f,
		0.001049f, 0.003254f, 0.005234f, 0.007263f, 0.009270f, 0.011307f, 0.013596f, 0.015869f, 0.018555f, 0.020844f, 0.023972f, 0.026566f,
		0.029739f, 0.033020f, 0.036316f, 0.039856f, 0.044159f, 0.048096f, 0.052277f, 0.057281f, 0.062439f, 0.067871f, 0.073792f, 0.079956f,
		0.087158f, 0.094055f, 0.102234f, 0.110535f, 0.119934f, 0.129517f, 0.140259f, 0.151245f, 0.162842f, 0.175537f, 0.189209f, 0.203369f,
		0.218262f, 0.233643f, 0.250488f, 0.268066f, 0.285645f, 0.304443f, 0.324219f, 0.343750f, 0.364014f, 0.385254f, 0.406494f, 0.428223f,
		0.450928f, 0.472656f, 0.495605f, 0.519043f, 0.541504f, 0.565918f, 0.588379f, 0.612305f, 0.635742f, 0.659180f, 0.850098f, 0.859863f,
		0.859863f, 0.858398f, 0.857910f, 0.856934f, 0.000914f, 0.002861f, 0.004742f, 0.006569f, 0.008415f, 0.010521f, 0.012596f, 0.014648f,
		0.016708f, 0.019089f, 0.021515f, 0.023865f, 0.026688f, 0.029572f, 0.032928f, 0.036377f, 0.039337f, 0.043365f, 0.047333f, 0.051544f,
		0.056305f, 0.061066f, 0.066406f, 0.071960f, 0.078247f, 0.084961f, 0.092163f, 0.099426f, 0.108215f, 0.116943f, 0.126831f, 0.136719f,
		0.148193f, 0.159302f, 0.171875f, 0.185669f, 0.199585f, 0.214478f, 0.230469f, 0.247070f, 0.264160f, 0.282471f, 0.301270f, 0.321045f,
		0.341553f, 0.362061f, 0.383545f, 0.404785f, 0.427734f, 0.449951f, 0.473389f, 0.496582f, 0.520020f, 0.543457f, 0.568359f, 0.592285f,
		0.615723f, 0.639648f, 0.840820f, 0.851074f, 0.853027f, 0.853027f, 0.852051f, 0.850586f, 0.000679f, 0.002518f, 0.004173f, 0.006149f,
		0.008064f, 0.009369f, 0.011551f, 0.013222f, 0.015175f, 0.017212f, 0.019592f, 0.021835f, 0.024048f, 0.026932f, 0.029846f, 0.032623f,
		0.035675f, 0.038940f, 0.042542f, 0.046295f, 0.050354f, 0.055054f, 0.059601f, 0.064880f, 0.070190f, 0.076233f, 0.082703f, 0.089661f,
		0.097229f, 0.105103f, 0.113831f, 0.123474f, 0.133423f, 0.144409f, 0.156006f, 0.168335f, 0.182495f, 0.196411f, 0.211304f, 0.227295f,
		0.243530f, 0.260986f, 0.279053f, 0.298828f, 0.318359f, 0.339111f, 0.360107f, 0.381348f, 0.403809f, 0.427490f, 0.449463f, 0.473633f,
		0.497803f, 0.521484f, 0.546875f, 0.570801f, 0.595703f, 0.620605f, 0.833008f, 0.845215f, 0.845703f, 0.845703f, 0.845215f, 0.843750f,
		0.000719f, 0.002470f, 0.003975f, 0.005337f, 0.007275f, 0.008713f, 0.010376f, 0.012032f, 0.013580f, 0.015793f, 0.017609f, 0.019501f,
		0.021530f, 0.024277f, 0.026657f, 0.029312f, 0.031982f, 0.035187f, 0.038086f, 0.041565f, 0.045288f, 0.049103f, 0.053436f, 0.058136f,
		0.062927f, 0.068054f, 0.073853f, 0.080383f, 0.087341f, 0.094666f, 0.102173f, 0.111084f, 0.120300f, 0.130859f, 0.141235f, 0.152954f,
		0.164429f, 0.178223f, 0.192749f, 0.207642f, 0.223145f, 0.239868f, 0.258301f, 0.276611f, 0.295654f, 0.316162f, 0.337402f, 0.358643f,
		0.380859f, 0.403320f, 0.427002f, 0.450684f, 0.474609f, 0.499756f, 0.523926f, 0.550781f, 0.575195f, 0.600586f, 0.824707f, 0.836914f,
		0.838379f, 0.838867f, 0.837402f, 0.837402f, 0.000683f, 0.002361f, 0.003649f, 0.005116f, 0.006416f, 0.008202f, 0.009460f, 0.010941f,
		0.012817f, 0.014099f, 0.015839f, 0.017593f, 0.019867f, 0.021988f, 0.023926f, 0.026276f, 0.028824f, 0.031311f, 0.034363f, 0.036957f,
		0.040375f, 0.043823f, 0.047546f, 0.051758f, 0.056183f, 0.061249f, 0.066162f, 0.071777f, 0.077942f, 0.084534f, 0.091553f, 0.099487f,
		0.107910f, 0.116882f, 0.127075f, 0.137451f, 0.148804f, 0.161499f, 0.174805f, 0.188721f, 0.203735f, 0.220093f, 0.237427f, 0.254639f,
		0.273926f, 0.293457f, 0.313965f, 0.334961f, 0.357666f, 0.379883f, 0.403076f, 0.427002f, 0.451660f, 0.476807f, 0.501953f, 0.527344f,
		0.553711f, 0.581055f, 0.815918f, 0.829102f, 0.831055f, 0.831055f, 0.831055f, 0.830566f, 0.000607f, 0.001863f, 0.003416f, 0.004528f,
		0.005943f, 0.007191f, 0.008781f, 0.009964f, 0.011337f, 0.012939f, 0.014458f, 0.015808f, 0.018051f, 0.019394f, 0.021332f, 0.023529f,
		0.025803f, 0.028168f, 0.030502f, 0.033020f, 0.036072f, 0.039032f, 0.042419f, 0.046082f, 0.049927f, 0.054321f, 0.058411f, 0.063538f,
		0.069336f, 0.075684f, 0.081787f, 0.088562f, 0.096436f, 0.104553f, 0.113281f, 0.123596f, 0.133667f, 0.145386f, 0.157471f, 0.171021f,
		0.185547f, 0.200562f, 0.216553f, 0.234619f, 0.251709f, 0.271240f, 0.291504f, 0.312012f, 0.333496f, 0.355957f, 0.379395f, 0.403076f,
		0.428223f, 0.453857f, 0.479492f, 0.506348f, 0.532715f, 0.560059f, 0.805664f, 0.820801f, 0.823730f, 0.822754f, 0.822754f, 0.822266f,
		0.000593f, 0.001862f, 0.002966f, 0.004341f, 0.005600f, 0.006516f, 0.007626f, 0.008995f, 0.010223f, 0.011292f, 0.012848f, 0.014427f,
		0.016098f, 0.017532f, 0.019165f, 0.021027f, 0.022842f, 0.024918f, 0.027115f, 0.029739f, 0.032013f, 0.034637f, 0.037506f, 0.040955f,
		0.044220f, 0.048065f, 0.051941f, 0.056305f, 0.061768f, 0.066528f, 0.072327f, 0.078979f, 0.085571f, 0.092834f, 0.101135f, 0.110229f,
		0.119690f, 0.130127f, 0.141602f, 0.153564f, 0.167114f, 0.181763f, 0.196899f, 0.213623f, 0.230957f, 0.249268f, 0.268555f, 0.289062f,
		0.310059f, 0.333252f, 0.355957f, 0.379883f, 0.404541f, 0.430176f, 0.456055f, 0.483887f, 0.510254f, 0.539062f, 0.797852f, 0.812988f,
		0.814941f, 0.815430f, 0.815918f, 0.814453f, 0.000556f, 0.001811f, 0.002998f, 0.003815f, 0.004658f, 0.005905f, 0.007099f, 0.008232f,
		0.009239f, 0.010483f, 0.011559f, 0.013016f, 0.014305f, 0.015671f, 0.017090f, 0.018646f, 0.020370f, 0.022369f, 0.024124f, 0.026062f,
		0.028458f, 0.030624f, 0.033264f, 0.036041f, 0.039307f, 0.042053f, 0.045807f, 0.049530f, 0.054016f, 0.058441f, 0.063904f, 0.069641f,
		0.075745f, 0.082520f, 0.089539f, 0.097717f, 0.106750f, 0.116150f, 0.126587f, 0.137817f, 0.150024f, 0.163452f, 0.177490f, 0.193359f,
		0.209717f, 0.227539f, 0.246704f, 0.266602f, 0.287598f, 0.309326f, 0.332520f, 0.355713f, 0.380371f, 0.406494f, 0.432861f, 0.459961f,
		0.488525f, 0.517090f, 0.787598f, 0.804199f, 0.806641f, 0.807617f, 0.807617f, 0.807129f, 0.000507f, 0.001697f, 0.002468f, 0.003351f,
		0.004425f, 0.005486f, 0.006325f, 0.007412f, 0.008156f, 0.009270f, 0.010239f, 0.011497f, 0.012520f, 0.013954f, 0.015182f, 0.016617f,
		0.018036f, 0.019714f, 0.021362f, 0.022934f, 0.024704f, 0.026886f, 0.029419f, 0.031525f, 0.034302f, 0.037292f, 0.040558f, 0.043701f,
		0.047577f, 0.051849f, 0.056183f, 0.061249f, 0.066467f, 0.072876f, 0.078918f, 0.086548f, 0.094116f, 0.102844f, 0.112427f, 0.122620f,
		0.133667f, 0.146362f, 0.159668f, 0.174438f, 0.190063f, 0.207153f, 0.225098f, 0.244263f, 0.264648f, 0.286377f, 0.308350f, 0.332275f,
		0.357178f, 0.382080f, 0.408936f, 0.436035f, 0.465820f, 0.495361f, 0.776855f, 0.794922f, 0.797852f, 0.799316f, 0.798828f, 0.798340f,
		0.000366f, 0.001644f, 0.002289f, 0.003046f, 0.004082f, 0.005032f, 0.005550f, 0.006599f, 0.007389f, 0.008369f, 0.009201f, 0.010315f,
		0.011276f, 0.012405f, 0.013466f, 0.014587f, 0.015991f, 0.017303f, 0.018692f, 0.020081f, 0.021851f, 0.023865f, 0.025726f, 0.027771f,
		0.030136f, 0.032532f, 0.035309f, 0.038422f, 0.041626f, 0.045044f, 0.048767f, 0.053375f, 0.057861f, 0.063477f, 0.069031f, 0.075684f,
		0.082336f, 0.090515f, 0.099182f, 0.107849f, 0.118958f, 0.130005f, 0.142212f, 0.156128f, 0.170898f, 0.186890f, 0.203857f, 0.222534f,
		0.241821f, 0.263428f, 0.285156f, 0.308105f, 0.332275f, 0.359131f, 0.385010f, 0.413086f, 0.441895f, 0.472168f, 0.767090f, 0.785645f,
		0.789062f, 0.789551f, 0.790527f, 0.789551f, 0.000340f, 0.001434f, 0.002129f, 0.002827f, 0.003696f, 0.004463f, 0.005112f, 0.005730f,
		0.006836f, 0.007465f, 0.008217f, 0.008972f, 0.009972f, 0.010887f, 0.011948f, 0.012794f, 0.013947f, 0.015030f, 0.016266f, 0.017670f,
		0.019165f, 0.020813f, 0.022415f, 0.024216f, 0.026047f, 0.028336f, 0.030594f, 0.033142f, 0.035858f, 0.039154f, 0.042328f, 0.046265f,
		0.050537f, 0.055237f, 0.059998f, 0.065918f, 0.072083f, 0.078918f, 0.086243f, 0.094788f, 0.104309f, 0.114807f, 0.125854f, 0.138672f,
		0.152222f, 0.166992f, 0.183716f, 0.200928f, 0.220459f, 0.240112f, 0.261719f, 0.284668f, 0.308838f, 0.333740f, 0.360840f, 0.388672f,
		0.418213f, 0.448730f, 0.756348f, 0.775391f, 0.779297f, 0.780273f, 0.781250f, 0.780273f, 0.000511f, 0.001174f, 0.002163f, 0.002554f,
		0.003391f, 0.003990f, 0.004547f, 0.005211f, 0.005993f, 0.006653f, 0.007462f, 0.007942f, 0.008781f, 0.009476f, 0.010323f, 0.011444f,
		0.012207f, 0.013062f, 0.014336f, 0.015427f, 0.016464f, 0.017929f, 0.019287f, 0.021164f, 0.022461f, 0.024567f, 0.026474f, 0.028885f,
		0.031067f, 0.033630f, 0.036835f, 0.040070f, 0.043488f, 0.047394f, 0.051910f, 0.056732f, 0.062378f, 0.068481f, 0.075073f, 0.082764f,
		0.090881f, 0.100403f, 0.110779f, 0.122009f, 0.134399f, 0.148560f, 0.163940f, 0.180298f, 0.198120f, 0.218140f, 0.239014f, 0.260986f,
		0.285645f, 0.310059f, 0.336182f, 0.364502f, 0.393311f, 0.424316f, 0.744629f, 0.765137f, 0.769531f, 0.770508f, 0.771484f, 0.771484f,
		0.000374f, 0.000983f, 0.001696f, 0.002279f, 0.002924f, 0.003571f, 0.004139f, 0.004742f, 0.005390f, 0.005817f, 0.006371f, 0.006981f,
		0.007648f, 0.008354f, 0.009041f, 0.009727f, 0.010536f, 0.011375f, 0.012398f, 0.013535f, 0.014389f, 0.015541f, 0.016602f, 0.018112f,
		0.019516f, 0.020996f, 0.022644f, 0.024582f, 0.026627f, 0.028748f, 0.031586f, 0.034210f, 0.037415f, 0.040588f, 0.044464f, 0.048676f,
		0.053192f, 0.058472f, 0.064880f, 0.070984f, 0.078674f, 0.086914f, 0.096191f, 0.106445f, 0.117859f, 0.130859f, 0.144775f, 0.160522f,
		0.177490f, 0.196411f, 0.215942f, 0.237793f, 0.261475f, 0.285645f, 0.312012f, 0.339111f, 0.368652f, 0.400391f, 0.733887f, 0.755371f,
		0.759766f, 0.760742f, 0.761719f, 0.761719f, 0.000298f, 0.000924f, 0.001542f, 0.002125f, 0.002439f, 0.003153f, 0.003502f, 0.004196f,
		0.004585f, 0.005039f, 0.005531f, 0.006054f, 0.006531f, 0.007217f, 0.007935f, 0.008362f, 0.009171f, 0.009773f, 0.010704f, 0.011505f,
		0.012207f, 0.013321f, 0.014381f, 0.015556f, 0.016586f, 0.017792f, 0.019608f, 0.020844f, 0.022583f, 0.024536f, 0.026566f, 0.028885f,
		0.031494f, 0.034332f, 0.037689f, 0.041260f, 0.045258f, 0.049927f, 0.054901f, 0.060699f, 0.067322f, 0.074768f, 0.082764f, 0.091675f,
		0.102173f, 0.113831f, 0.126831f, 0.141113f, 0.157104f, 0.175049f, 0.194580f, 0.215210f, 0.237305f, 0.261475f, 0.287598f, 0.314697f,
		0.344482f, 0.375977f, 0.721680f, 0.744629f, 0.749512f, 0.751465f, 0.751465f, 0.751465f, 0.000275f, 0.001002f, 0.001335f, 0.001704f,
		0.002264f, 0.002790f, 0.003202f, 0.003555f, 0.004017f, 0.004368f, 0.004894f, 0.005318f, 0.005592f, 0.006241f, 0.006611f, 0.007317f,
		0.007851f, 0.008560f, 0.009071f, 0.009758f, 0.010429f, 0.011375f, 0.011986f, 0.013130f, 0.013916f, 0.015205f, 0.016403f, 0.017624f,
		0.019119f, 0.020660f, 0.022278f, 0.024582f, 0.026474f, 0.029007f, 0.031738f, 0.034668f, 0.038025f, 0.041962f, 0.046417f, 0.051270f,
		0.056915f, 0.063110f, 0.070312f, 0.078369f, 0.087769f, 0.098145f, 0.109863f, 0.123352f, 0.137451f, 0.154785f, 0.172363f, 0.192261f,
		0.214233f, 0.237793f, 0.262939f, 0.289795f, 0.319336f, 0.351074f, 0.708984f, 0.733398f, 0.738281f, 0.740234f, 0.741211f, 0.740723f,
		0.000334f, 0.000805f, 0.001231f, 0.001640f, 0.002033f, 0.002277f, 0.002871f, 0.003115f, 0.003481f, 0.003895f, 0.004147f, 0.004379f,
		0.004841f, 0.005306f, 0.005653f, 0.006241f, 0.006630f, 0.007217f, 0.007721f, 0.008133f, 0.008842f, 0.009529f, 0.010010f, 0.011017f,
		0.011780f, 0.012733f, 0.013626f, 0.014824f, 0.015656f, 0.017212f, 0.018829f, 0.020248f, 0.021973f, 0.023926f, 0.026306f, 0.028900f,
		0.031616f, 0.034973f, 0.038605f, 0.042816f, 0.047424f, 0.052765f, 0.059021f, 0.066162f, 0.074219f, 0.083435f, 0.093994f, 0.105835f,
		0.119385f, 0.134277f, 0.151611f, 0.170532f, 0.191284f, 0.214233f, 0.239014f, 0.265381f, 0.293701f, 0.325684f, 0.696289f, 0.722168f,
		0.727051f, 0.729004f, 0.729980f, 0.729980f, 0.000215f, 0.000635f, 0.001184f, 0.001348f, 0.001758f, 0.002171f, 0.002249f, 0.002596f,
		0.003004f, 0.003325f, 0.003487f, 0.003906f, 0.004108f, 0.004494f, 0.004955f, 0.005241f, 0.005726f, 0.006134f, 0.006485f, 0.006916f,
		0.007496f, 0.008072f, 0.008629f, 0.009071f, 0.009857f, 0.010651f, 0.011375f, 0.012283f, 0.013283f, 0.014320f, 0.015350f, 0.016739f,
		0.017975f, 0.019852f, 0.021454f, 0.023712f, 0.025925f, 0.028717f, 0.031769f, 0.035217f, 0.038910f, 0.043396f, 0.048767f, 0.054901f,
		0.061707f, 0.069824f, 0.078613f, 0.089783f, 0.101685f, 0.115479f, 0.131104f, 0.149292f, 0.168823f, 0.190674f, 0.214844f, 0.241211f,
		0.269775f, 0.299561f, 0.683594f, 0.709961f, 0.715332f, 0.717773f, 0.718262f, 0.718750f, 0.000199f, 0.000826f, 0.001047f, 0.001288f,
		0.001600f, 0.001857f, 0.002014f, 0.002329f, 0.002535f, 0.002785f, 0.003027f, 0.003210f, 0.003580f, 0.003788f, 0.004025f, 0.004444f,
		0.004791f, 0.004974f, 0.005417f, 0.005909f, 0.006248f, 0.006672f, 0.007118f, 0.007664f, 0.008232f, 0.008759f, 0.009598f, 0.009964f,
		0.010956f, 0.011650f, 0.012665f, 0.013702f, 0.014832f, 0.016144f, 0.017654f, 0.019211f, 0.021118f, 0.023102f, 0.025681f, 0.028320f,
		0.031708f, 0.035370f, 0.039673f, 0.044739f, 0.050812f, 0.057800f, 0.065796f, 0.074768f, 0.085510f, 0.097961f, 0.112000f, 0.128662f,
		0.147217f, 0.168213f, 0.190796f, 0.216309f, 0.244751f, 0.274902f, 0.669922f, 0.698730f, 0.703613f, 0.705566f, 0.707031f, 0.707031f,
		0.000212f, 0.000458f, 0.000959f, 0.001192f, 0.001321f, 0.001500f, 0.001823f, 0.002064f, 0.002073f, 0.002293f, 0.002512f, 0.002768f,
		0.002981f, 0.003138f, 0.003431f, 0.003765f, 0.003918f, 0.004238f, 0.004482f, 0.004814f, 0.005245f, 0.005531f, 0.005871f, 0.006214f,
		0.006660f, 0.007236f, 0.007664f, 0.008331f, 0.008812f, 0.009628f, 0.010277f, 0.010979f, 0.012016f, 0.012978f, 0.014084f, 0.015495f,
		0.016937f, 0.018494f, 0.020386f, 0.022659f, 0.025208f, 0.028183f, 0.031860f, 0.036072f, 0.040894f, 0.046326f, 0.053009f, 0.061127f,
		0.070374f, 0.081238f, 0.094238f, 0.109314f, 0.126343f, 0.145874f, 0.167847f, 0.192505f, 0.219604f, 0.249634f, 0.656738f, 0.686035f,
		0.690430f, 0.694336f, 0.694336f, 0.696777f, 0.000151f, 0.000529f, 0.000692f, 0.000883f, 0.001153f, 0.001337f, 0.001380f, 0.001520f,
		0.001753f, 0.001886f, 0.002077f, 0.002243f, 0.002386f, 0.002556f, 0.002832f, 0.003029f, 0.003277f, 0.003447f, 0.003683f, 0.003952f,
		0.004135f, 0.004578f, 0.004833f, 0.005222f, 0.005417f, 0.005810f, 0.006355f, 0.006718f, 0.007076f, 0.007652f, 0.008293f, 0.008980f,
		0.009674f, 0.010422f, 0.011276f, 0.012283f, 0.013443f, 0.014664f, 0.016113f, 0.017853f, 0.019897f, 0.022156f, 0.024826f, 0.028275f,
		0.032135f, 0.036865f, 0.042389f, 0.049011f, 0.056732f, 0.066223f, 0.077576f, 0.090820f, 0.106384f, 0.124512f, 0.145264f, 0.169067f,
		0.195190f, 0.224976f, 0.642578f, 0.671387f, 0.679688f, 0.682617f, 0.682617f, 0.683594f, 0.000127f, 0.000376f, 0.000600f, 0.000721f,
		0.000901f, 0.001066f, 0.001180f, 0.001332f, 0.001455f, 0.001549f, 0.001709f, 0.001831f, 0.001947f, 0.002150f, 0.002245f, 0.002443f,
		0.002682f, 0.002844f, 0.002989f, 0.003201f, 0.003403f, 0.003683f, 0.003883f, 0.004097f, 0.004372f, 0.004665f, 0.004963f, 0.005348f,
		0.005711f, 0.006165f, 0.006672f, 0.007004f, 0.007610f, 0.008278f, 0.008873f, 0.009636f, 0.010475f, 0.011475f, 0.012634f, 0.014053f,
		0.015404f, 0.017242f, 0.019104f, 0.021774f, 0.024750f, 0.028458f, 0.032745f, 0.038391f, 0.044861f, 0.052795f, 0.062103f, 0.073914f,
		0.087830f, 0.104553f, 0.123718f, 0.145996f, 0.171509f, 0.200439f, 0.627930f, 0.658691f, 0.666504f, 0.668945f, 0.671387f, 0.671387f,
		0.000013f, 0.000374f, 0.000443f, 0.000688f, 0.000819f, 0.000844f, 0.001004f, 0.001132f, 0.001216f, 0.001259f, 0.001405f, 0.001523f,
		0.001566f, 0.001753f, 0.001842f, 0.001997f, 0.002022f, 0.002287f, 0.002377f, 0.002541f, 0.002787f, 0.002878f, 0.003096f, 0.003283f,
		0.003551f, 0.003651f, 0.003971f, 0.004272f, 0.004524f, 0.004887f, 0.005196f, 0.005527f, 0.005939f, 0.006386f, 0.006977f, 0.007526f,
		0.008148f, 0.008835f, 0.009689f, 0.010689f, 0.011810f, 0.013000f, 0.014641f, 0.016388f, 0.018799f, 0.021469f, 0.024734f, 0.029022f,
		0.034210f, 0.040588f, 0.048401f, 0.058319f, 0.070435f, 0.085205f, 0.102905f, 0.123901f, 0.147827f, 0.175903f, 0.612793f, 0.645508f,
		0.653320f, 0.656250f, 0.657227f, 0.657227f, 0.000113f, 0.000234f, 0.000465f, 0.000547f, 0.000646f, 0.000684f, 0.000711f, 0.000832f,
		0.000963f, 0.000999f, 0.001042f, 0.001183f, 0.001279f, 0.001402f, 0.001494f, 0.001513f, 0.001688f, 0.001716f, 0.001919f, 0.001993f,
		0.002081f, 0.002253f, 0.002441f, 0.002575f, 0.002714f, 0.002876f, 0.003050f, 0.003214f, 0.003531f, 0.003714f, 0.003956f, 0.004276f,
		0.004604f, 0.004967f, 0.005386f, 0.005718f, 0.006283f, 0.006790f, 0.007290f, 0.008133f, 0.008957f, 0.009987f, 0.010956f, 0.012375f,
		0.013916f, 0.015991f, 0.018311f, 0.021347f, 0.025253f, 0.030289f, 0.036560f, 0.044586f, 0.054779f, 0.067749f, 0.083252f, 0.102722f,
		0.125732f, 0.152100f, 0.597168f, 0.631836f, 0.639160f, 0.643555f, 0.643066f, 0.645508f, 0.000207f, 0.000175f, 0.000364f, 0.000507f,
		0.000496f, 0.000569f, 0.000683f, 0.000584f, 0.000737f, 0.000764f, 0.000885f, 0.000964f, 0.000999f, 0.001076f, 0.001085f, 0.001272f,
		0.001327f, 0.001354f, 0.001491f, 0.001494f, 0.001677f, 0.001781f, 0.001862f, 0.001976f, 0.002079f, 0.002190f, 0.002338f, 0.002481f,
		0.002691f, 0.002811f, 0.003117f, 0.003214f, 0.003422f, 0.003706f, 0.003990f, 0.004314f, 0.004608f, 0.004982f, 0.005379f, 0.006027f,
		0.006580f, 0.007351f, 0.008049f, 0.009041f, 0.010323f, 0.011551f, 0.013428f, 0.015419f, 0.018219f, 0.021713f, 0.026550f, 0.032715f,
		0.040833f, 0.051605f, 0.065552f, 0.082458f, 0.104004f, 0.129395f, 0.582031f, 0.618652f, 0.625488f, 0.627930f, 0.630859f, 0.631348f,
		0.000189f, 0.000160f, 0.000272f, 0.000387f, 0.000335f, 0.000486f, 0.000424f, 0.000469f, 0.000551f, 0.000589f, 0.000700f, 0.000727f,
		0.000772f, 0.000859f, 0.000891f, 0.000872f, 0.001000f, 0.001048f, 0.001076f, 0.001172f, 0.001224f, 0.001311f, 0.001376f, 0.001450f,
		0.001554f, 0.001591f, 0.001760f, 0.001838f, 0.001999f, 0.002180f, 0.002333f, 0.002388f, 0.002584f, 0.002777f, 0.002907f, 0.003162f,
		0.003368f, 0.003677f, 0.003979f, 0.004303f, 0.004715f, 0.005188f, 0.005787f, 0.006378f, 0.007313f, 0.008194f, 0.009407f, 0.010887f,
		0.012779f, 0.015198f, 0.018494f, 0.022888f, 0.029037f, 0.037659f, 0.048920f, 0.064270f, 0.083740f, 0.107300f, 0.565918f, 0.603516f,
		0.611328f, 0.614746f, 0.617188f, 0.618164f, 0.000000f, 0.000170f, 0.000207f, 0.000274f, 0.000292f, 0.000309f, 0.000381f, 0.000326f,
		0.000418f, 0.000439f, 0.000519f, 0.000519f, 0.000560f, 0.000574f, 0.000652f, 0.000678f, 0.000717f, 0.000756f, 0.000782f, 0.000820f,
		0.000893f, 0.000937f, 0.000991f, 0.001063f, 0.001112f, 0.001174f, 0.001284f, 0.001302f, 0.001408f, 0.001460f, 0.001586f, 0.001711f,
		0.001826f, 0.001959f, 0.002058f, 0.002207f, 0.002388f, 0.002565f, 0.002836f, 0.003046f, 0.003284f, 0.003567f, 0.004009f, 0.004463f,
		0.005001f, 0.005661f, 0.006451f, 0.007473f, 0.008751f, 0.010368f, 0.012611f, 0.015587f, 0.019730f, 0.025787f, 0.034729f, 0.047272f,
		0.064392f, 0.087097f, 0.550293f, 0.587891f, 0.596680f, 0.600586f, 0.602539f, 0.603516f, 0.000000f, 0.000057f, 0.000175f, 0.000210f,
		0.000221f, 0.000261f, 0.000224f, 0.000285f, 0.000296f, 0.000329f, 0.000374f, 0.000329f, 0.000344f, 0.000416f, 0.000421f, 0.000479f,
		0.000455f, 0.000530f, 0.000552f, 0.000598f, 0.000640f, 0.000670f, 0.000695f, 0.000740f, 0.000798f, 0.000806f, 0.000883f, 0.000908f,
		0.000983f, 0.001094f, 0.001083f, 0.001169f, 0.001242f, 0.001340f, 0.001440f, 0.001536f, 0.001601f, 0.001752f, 0.001893f, 0.002029f,
		0.002218f, 0.002424f, 0.002651f, 0.002934f, 0.003294f, 0.003681f, 0.004200f, 0.004833f, 0.005688f, 0.006863f, 0.008202f, 0.010178f,
		0.012955f, 0.016846f, 0.023163f, 0.032745f, 0.047150f, 0.067383f, 0.534180f, 0.574219f, 0.582031f, 0.584961f, 0.586914f, 0.589844f,
		0.000000f, 0.000105f, 0.000145f, 0.000101f, 0.000161f, 0.000163f, 0.000165f, 0.000193f, 0.000190f, 0.000202f, 0.000205f, 0.000260f,
		0.000251f, 0.000281f, 0.000305f, 0.000316f, 0.000323f, 0.000346f, 0.000364f, 0.000383f, 0.000413f, 0.000436f, 0.000461f, 0.000486f,
		0.000515f, 0.000564f, 0.000594f, 0.000616f, 0.000639f, 0.000677f, 0.000729f, 0.000748f, 0.000842f, 0.000861f, 0.000943f, 0.000970f,
		0.001054f, 0.001120f, 0.001219f, 0.001310f, 0.001398f, 0.001534f, 0.001709f, 0.001852f, 0.002096f, 0.002291f, 0.002594f, 0.002987f,
		0.003481f, 0.004128f, 0.004997f, 0.006218f, 0.007950f, 0.010445f, 0.014313f, 0.020874f, 0.032166f, 0.049866f, 0.517578f, 0.558105f,
		0.567383f, 0.570801f, 0.573730f, 0.574707f, 0.000000f, 0.000097f, 0.000089f, 0.000082f, 0.000092f, 0.000096f, 0.000092f, 0.000118f,
		0.000126f, 0.000130f, 0.000138f, 0.000138f, 0.000143f, 0.000163f, 0.000181f, 0.000187f, 0.000195f, 0.000228f, 0.000221f, 0.000261f,
		0.000243f, 0.000254f, 0.000274f, 0.000299f, 0.000334f, 0.000332f, 0.000345f, 0.000362f, 0.000394f, 0.000410f, 0.000433f, 0.000463f,
		0.000497f, 0.000510f, 0.000562f, 0.000594f, 0.000636f, 0.000670f, 0.000731f, 0.000777f, 0.000832f, 0.000927f, 0.000991f, 0.001101f,
		0.001210f, 0.001350f, 0.001513f, 0.001720f, 0.001999f, 0.002373f, 0.002815f, 0.003498f, 0.004478f, 0.006001f, 0.008347f, 0.012299f,
		0.019669f, 0.034210f, 0.501465f, 0.542969f, 0.552246f, 0.556641f, 0.559082f, 0.559570f, 0.000107f, 0.000087f, 0.000077f, 0.000070f,
		0.000065f, 0.000066f, 0.000059f, 0.000064f, 0.000065f, 0.000071f, 0.000070f, 0.000095f, 0.000081f, 0.000085f, 0.000110f, 0.000097f,
		0.000117f, 0.000126f, 0.000127f, 0.000133f, 0.000132f, 0.000141f, 0.000169f, 0.000173f, 0.000185f, 0.000183f, 0.000192f, 0.000215f,
		0.000216f, 0.000235f, 0.000236f, 0.000265f, 0.000278f, 0.000290f, 0.000313f, 0.000317f, 0.000347f, 0.000365f, 0.000400f, 0.000422f,
		0.000457f, 0.000494f, 0.000535f, 0.000586f, 0.000639f, 0.000700f, 0.000786f, 0.000888f, 0.001019f, 0.001207f, 0.001435f, 0.001746f,
		0.002258f, 0.003019f, 0.004299f, 0.006523f, 0.010612f, 0.020859f, 0.484619f, 0.527344f, 0.536621f, 0.541504f, 0.542969f, 0.544922f,
		0.000092f, 0.000070f, 0.000062f, 0.000056f, 0.000051f, 0.000048f, 0.000045f, 0.000044f, 0.000041f, 0.000039f, 0.000038f, 0.000037f,
		0.000047f, 0.000039f, 0.000041f, 0.000041f, 0.000058f, 0.000053f, 0.000062f, 0.000064f, 0.000068f, 0.000072f, 0.000076f, 0.000076f,
		0.000078f, 0.000092f, 0.000085f, 0.000101f, 0.000104f, 0.000110f, 0.000115f, 0.000118f, 0.000127f, 0.000133f, 0.000152f, 0.000150f,
		0.000163f, 0.000190f, 0.000190f, 0.000202f, 0.000213f, 0.000225f, 0.000249f, 0.000268f, 0.000296f, 0.000321f, 0.000354f, 0.000402f,
		0.000458f, 0.000520f, 0.000618f, 0.000744f, 0.000950f, 0.001263f, 0.001822f, 0.002865f, 0.005028f, 0.010544f, 0.468018f, 0.511230f,
		0.521484f, 0.524902f, 0.529297f, 0.529785f, 0.000067f, 0.000049f, 0.000041f, 0.000037f, 0.000034f, 0.000032f, 0.000031f, 0.000029f,
		0.000028f, 0.000027f, 0.000027f, 0.000026f, 0.000025f, 0.000023f, 0.000022f, 0.000021f, 0.000020f, 0.000020f, 0.000023f, 0.000024f,
		0.000021f, 0.000022f, 0.000025f, 0.000029f, 0.000030f, 0.000034f, 0.000036f, 0.000034f, 0.000039f, 0.000038f, 0.000045f, 0.000045f,
		0.000048f, 0.000051f, 0.000053f, 0.000055f, 0.000063f, 0.000070f, 0.000073f, 0.000073f, 0.000080f, 0.000084f, 0.000089f, 0.000102f,
		0.000107f, 0.000115f, 0.000128f, 0.000145f, 0.000156f, 0.000178f, 0.000213f, 0.000253f, 0.000311f, 0.000400f, 0.000572f, 0.000916f,
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		0.230469f, 0.246460f, 0.262939f, 0.279541f, 0.296143f, 0.313721f, 0.331299f, 0.348633f, 0.367188f, 0.384521f, 0.402344f, 0.420410f,
		0.438965f, 0.457275f, 0.475830f, 0.493164f, 0.510742f, 0.528809f, 0.546387f, 0.564453f, 0.581055f, 0.598145f, 0.615234f, 0.631836f,
		0.647461f, 0.665527f, 0.680664f, 0.696289f, 0.711914f, 0.728027f, 0.741211f, 0.756836f, 0.770508f, 0.783691f, 0.798340f, 0.811523f,
		0.824219f, 0.837402f, 0.921387f, 0.920410f, 0.916504f, 0.913086f, 0.908691f, 0.904785f, 0.003479f, 0.009949f, 0.016937f, 0.024445f,
		0.031708f, 0.039948f, 0.048218f, 0.056793f, 0.066223f, 0.075928f, 0.085632f, 0.096313f, 0.107178f, 0.118958f, 0.130493f, 0.143311f,
		0.156494f, 0.170044f, 0.183960f, 0.197876f, 0.213501f, 0.228027f, 0.244019f, 0.260010f, 0.276611f, 0.293213f, 0.309814f, 0.327393f,
		0.344482f, 0.363037f, 0.379883f, 0.398438f, 0.416504f, 0.434082f, 0.451904f, 0.470215f, 0.488525f, 0.505859f, 0.523926f, 0.541504f,
		0.559570f, 0.577637f, 0.594238f, 0.611328f, 0.628418f, 0.645020f, 0.661133f, 0.677246f, 0.693848f, 0.709961f, 0.725586f, 0.739746f,
		0.755371f, 0.769531f, 0.783203f, 0.797852f, 0.810547f, 0.824707f, 0.916016f, 0.915527f, 0.912109f, 0.908691f, 0.904785f, 0.900879f,
		0.003014f, 0.008842f, 0.015640f, 0.022018f, 0.028885f, 0.036163f, 0.044250f, 0.051819f, 0.059967f, 0.069031f, 0.078247f, 0.088135f,
		0.098267f, 0.108337f, 0.119751f, 0.131470f, 0.143433f, 0.156006f, 0.169189f, 0.183105f, 0.196655f, 0.211304f, 0.226196f, 0.241211f,
		0.257080f, 0.273438f, 0.289307f, 0.306396f, 0.323975f, 0.340576f, 0.358398f, 0.375732f, 0.393799f, 0.411133f, 0.429688f, 0.447998f,
		0.466064f, 0.483887f, 0.501465f, 0.519531f, 0.537598f, 0.555664f, 0.573242f, 0.590820f, 0.607910f, 0.625000f, 0.642578f, 0.658203f,
		0.675293f, 0.691406f, 0.707520f, 0.724121f, 0.738770f, 0.753418f, 0.769531f, 0.783203f, 0.797363f, 0.811523f, 0.910156f, 0.910645f,
		0.907715f, 0.904785f, 0.900879f, 0.896973f, 0.002861f, 0.008591f, 0.014000f, 0.020203f, 0.026962f, 0.033203f, 0.040161f, 0.047485f,
		0.055237f, 0.062988f, 0.071594f, 0.080750f, 0.089905f, 0.099854f, 0.109741f, 0.120056f, 0.131592f, 0.143311f, 0.155640f, 0.167969f,
		0.181763f, 0.195190f, 0.209229f, 0.223877f, 0.238647f, 0.254150f, 0.269531f, 0.285889f, 0.302979f, 0.319824f, 0.336426f, 0.354004f,
		0.372070f, 0.389893f, 0.406982f, 0.424805f, 0.443359f, 0.461182f, 0.479492f, 0.498047f, 0.515625f, 0.533691f, 0.551270f, 0.569336f,
		0.587402f, 0.604492f, 0.622070f, 0.639160f, 0.656738f, 0.673828f, 0.689941f, 0.705566f, 0.722168f, 0.737793f, 0.753418f, 0.768066f,
		0.783203f, 0.798340f, 0.904297f, 0.905762f, 0.902832f, 0.899414f, 0.895996f, 0.893066f, 0.002535f, 0.007812f, 0.013252f, 0.018738f,
		0.024384f, 0.030548f, 0.036774f, 0.043427f, 0.050476f, 0.057556f, 0.065491f, 0.073425f, 0.082458f, 0.091370f, 0.100525f, 0.110413f,
		0.120605f, 0.131592f, 0.142822f, 0.154663f, 0.166870f, 0.180176f, 0.193237f, 0.207031f, 0.221191f, 0.236084f, 0.250732f, 0.266602f,
		0.282959f, 0.299072f, 0.315430f, 0.332520f, 0.350342f, 0.367676f, 0.385010f, 0.403076f, 0.421631f, 0.439209f, 0.457520f, 0.475342f,
		0.494141f, 0.512695f, 0.530273f, 0.547852f, 0.565918f, 0.584473f, 0.602051f, 0.619629f, 0.637207f, 0.655273f, 0.671387f, 0.688965f,
		0.706055f, 0.721191f, 0.737305f, 0.752930f, 0.769531f, 0.784668f, 0.898438f, 0.900879f, 0.897949f, 0.894531f, 0.891602f, 0.888672f,
		0.002411f, 0.007103f, 0.012161f, 0.017105f, 0.022385f, 0.027985f, 0.033203f, 0.039581f, 0.045532f, 0.052521f, 0.059814f, 0.067261f,
		0.074768f, 0.083313f, 0.092041f, 0.101013f, 0.110291f, 0.120361f, 0.130615f, 0.141724f, 0.153076f, 0.165283f, 0.177612f, 0.190918f,
		0.204346f, 0.218506f, 0.233154f, 0.247559f, 0.263428f, 0.279053f, 0.295166f, 0.312256f, 0.328857f, 0.345947f, 0.363281f, 0.381348f,
		0.398926f, 0.417236f, 0.435547f, 0.453369f, 0.471191f, 0.489502f, 0.508301f, 0.525879f, 0.545410f, 0.563477f, 0.581055f, 0.600098f,
		0.617676f, 0.635254f, 0.653809f, 0.670410f, 0.687500f, 0.705078f, 0.720703f, 0.736816f, 0.753418f, 0.769531f, 0.892090f, 0.895020f,
		0.892578f, 0.889648f, 0.887207f, 0.884277f, 0.002344f, 0.006565f, 0.011322f, 0.015686f, 0.020630f, 0.025574f, 0.030807f, 0.035980f,
		0.042084f, 0.048279f, 0.054352f, 0.061432f, 0.068848f, 0.076172f, 0.083618f, 0.092590f, 0.101135f, 0.109619f, 0.120178f, 0.130249f,
		0.140991f, 0.151978f, 0.163696f, 0.175781f, 0.188721f, 0.202026f, 0.215820f, 0.230103f, 0.244873f, 0.259766f, 0.275635f, 0.291504f,
		0.307617f, 0.324219f, 0.342041f, 0.358887f, 0.376709f, 0.394775f, 0.412354f, 0.431152f, 0.448975f, 0.468018f, 0.486328f, 0.504883f,
		0.523438f, 0.541992f, 0.560547f, 0.579102f, 0.597656f, 0.615234f, 0.633789f, 0.651855f, 0.669434f, 0.687500f, 0.704590f, 0.721680f,
		0.738770f, 0.755859f, 0.886719f, 0.889648f, 0.887695f, 0.884766f, 0.882812f, 0.879883f, 0.002003f, 0.006268f, 0.009987f, 0.014198f,
		0.018875f, 0.023605f, 0.028259f, 0.033203f, 0.038513f, 0.044495f, 0.049866f, 0.056152f, 0.062500f, 0.069458f, 0.076660f, 0.084473f,
		0.092163f, 0.100586f, 0.109741f, 0.119324f, 0.128662f, 0.139526f, 0.150146f, 0.161499f, 0.173706f, 0.185791f, 0.199341f, 0.212891f,
		0.227051f, 0.241455f, 0.256592f, 0.271729f, 0.288330f, 0.304199f, 0.321045f, 0.337891f, 0.355469f, 0.373291f, 0.391113f, 0.408936f,
		0.426758f, 0.446289f, 0.464600f, 0.483643f, 0.500977f, 0.520996f, 0.539551f, 0.558594f, 0.577148f, 0.595703f, 0.614746f, 0.632324f,
		0.650879f, 0.669434f, 0.687012f, 0.704590f, 0.722656f, 0.740234f, 0.880371f, 0.883301f, 0.881836f, 0.879883f, 0.877441f, 0.875000f,
		0.001739f, 0.005779f, 0.009598f, 0.013245f, 0.017334f, 0.021637f, 0.025955f, 0.030121f, 0.035217f, 0.040131f, 0.045990f, 0.051453f,
		0.056915f, 0.063354f, 0.070007f, 0.076965f, 0.084351f, 0.091980f, 0.100281f, 0.108826f, 0.117981f, 0.127441f, 0.137939f, 0.148315f,
		0.160034f, 0.171753f, 0.183594f, 0.196167f, 0.209961f, 0.223511f, 0.238037f, 0.252930f, 0.268066f, 0.284180f, 0.300537f, 0.317139f,
		0.333740f, 0.351074f, 0.368896f, 0.386719f, 0.405273f, 0.423584f, 0.442871f, 0.460938f, 0.479736f, 0.499512f, 0.517578f, 0.537109f,
		0.555664f, 0.575195f, 0.594238f, 0.613770f, 0.632324f, 0.650879f, 0.669922f, 0.687988f, 0.706055f, 0.724121f, 0.873047f, 0.876953f,
		0.875488f, 0.874023f, 0.872559f, 0.869141f, 0.001648f, 0.005039f, 0.008675f, 0.012161f, 0.015823f, 0.019760f, 0.023865f, 0.028015f,
		0.032318f, 0.036865f, 0.041504f, 0.046906f, 0.051758f, 0.057922f, 0.064087f, 0.070435f, 0.077209f, 0.084290f, 0.091736f, 0.099243f,
		0.108215f, 0.117004f, 0.126343f, 0.135620f, 0.146484f, 0.157349f, 0.168823f, 0.180908f, 0.193848f, 0.206909f, 0.220459f, 0.234619f,
		0.249634f, 0.264404f, 0.280273f, 0.296631f, 0.313232f, 0.329834f, 0.347412f, 0.365479f, 0.383545f, 0.401855f, 0.420166f, 0.438721f,
		0.458252f, 0.477783f, 0.496826f, 0.516602f, 0.535156f, 0.554199f, 0.574219f, 0.593750f, 0.612305f, 0.631836f, 0.651367f, 0.670410f,
		0.689453f, 0.708984f, 0.865234f, 0.872070f, 0.870605f, 0.868652f, 0.866699f, 0.863770f, 0.001492f, 0.004704f, 0.007973f, 0.011124f,
		0.014603f, 0.017792f, 0.021652f, 0.025314f, 0.029526f, 0.033722f, 0.038147f, 0.042694f, 0.047668f, 0.052673f, 0.057983f, 0.064209f,
		0.070068f, 0.076233f, 0.083313f, 0.090942f, 0.098572f, 0.106750f, 0.115295f, 0.124512f, 0.134277f, 0.144287f, 0.154663f, 0.166504f,
		0.178345f, 0.190063f, 0.203247f, 0.217041f, 0.231079f, 0.245850f, 0.260986f, 0.276611f, 0.293213f, 0.309570f, 0.326172f, 0.343994f,
		0.361816f, 0.379395f, 0.397949f, 0.417480f, 0.436523f, 0.455322f, 0.474854f, 0.493896f, 0.514160f, 0.533691f, 0.553711f, 0.573730f,
		0.593262f, 0.612793f, 0.632812f, 0.651855f, 0.672363f, 0.690918f, 0.857910f, 0.865723f, 0.864746f, 0.863281f, 0.860352f, 0.858887f,
		0.001657f, 0.004684f, 0.007290f, 0.010201f, 0.013657f, 0.016541f, 0.019989f, 0.023636f, 0.026932f, 0.030548f, 0.034576f, 0.039154f,
		0.043793f, 0.048126f, 0.053162f, 0.058319f, 0.063721f, 0.069885f, 0.076355f, 0.082947f, 0.089844f, 0.097046f, 0.105286f, 0.113281f,
		0.122559f, 0.131348f, 0.141357f, 0.152100f, 0.163330f, 0.175415f, 0.187256f, 0.199951f, 0.213501f, 0.227051f, 0.241943f, 0.257324f,
		0.273193f, 0.288818f, 0.305420f, 0.322754f, 0.340576f, 0.358643f, 0.375732f, 0.394775f, 0.414307f, 0.433105f, 0.453613f, 0.472168f,
		0.492188f, 0.512695f, 0.532715f, 0.552246f, 0.573242f, 0.593262f, 0.613770f, 0.632812f, 0.654785f, 0.673828f, 0.851074f, 0.859375f,
		0.858398f, 0.856934f, 0.855469f, 0.853027f, 0.001457f, 0.003944f, 0.006870f, 0.009392f, 0.012543f, 0.015190f, 0.018417f, 0.021576f,
		0.024811f, 0.028122f, 0.031708f, 0.035278f, 0.039398f, 0.043793f, 0.048218f, 0.052887f, 0.058044f, 0.063477f, 0.069397f, 0.075256f,
		0.081360f, 0.088318f, 0.095398f, 0.103210f, 0.111084f, 0.120361f, 0.129150f, 0.139038f, 0.149292f, 0.160645f, 0.172241f, 0.183716f,
		0.196533f, 0.209595f, 0.224121f, 0.238647f, 0.253174f, 0.268799f, 0.286133f, 0.302490f, 0.319092f, 0.337158f, 0.355225f, 0.373535f,
		0.392090f, 0.411133f, 0.430908f, 0.450928f, 0.470947f, 0.490967f, 0.511719f, 0.531250f, 0.551758f, 0.573730f, 0.594238f, 0.614746f,
		0.636230f, 0.656738f, 0.842773f, 0.852051f, 0.851562f, 0.851074f, 0.848633f, 0.846680f, 0.001404f, 0.003891f, 0.006233f, 0.008751f,
		0.011353f, 0.014175f, 0.017075f, 0.019592f, 0.022842f, 0.025772f, 0.028839f, 0.032410f, 0.036011f, 0.039764f, 0.043671f, 0.048126f,
		0.052704f, 0.057373f, 0.062561f, 0.067688f, 0.074158f, 0.080200f, 0.086853f, 0.093445f, 0.101379f, 0.109192f, 0.117432f, 0.126709f,
		0.136353f, 0.146484f, 0.157227f, 0.168823f, 0.180542f, 0.193115f, 0.206299f, 0.219727f, 0.234375f, 0.249756f, 0.265869f, 0.281738f,
		0.298096f, 0.315674f, 0.333252f, 0.352051f, 0.370850f, 0.389160f, 0.409180f, 0.428955f, 0.448730f, 0.469971f, 0.489502f, 0.510742f,
		0.531738f, 0.552246f, 0.574707f, 0.595215f, 0.617676f, 0.639160f, 0.835449f, 0.845215f, 0.845215f, 0.844238f, 0.843262f, 0.840332f,
		0.001275f, 0.003536f, 0.005600f, 0.007881f, 0.010628f, 0.012878f, 0.015610f, 0.018097f, 0.020996f, 0.023376f, 0.026443f, 0.029556f,
		0.032867f, 0.036163f, 0.039581f, 0.043915f, 0.047943f, 0.052216f, 0.056763f, 0.061981f, 0.067322f, 0.072449f, 0.078796f, 0.084717f,
		0.091919f, 0.098999f, 0.106995f, 0.115417f, 0.124084f, 0.133667f, 0.143433f, 0.154297f, 0.165161f, 0.177124f, 0.189697f, 0.202759f,
		0.216309f, 0.230713f, 0.245728f, 0.261719f, 0.278320f, 0.295410f, 0.312256f, 0.330566f, 0.349365f, 0.367676f, 0.386719f, 0.406494f,
		0.427246f, 0.447266f, 0.468506f, 0.489746f, 0.510742f, 0.532227f, 0.553711f, 0.575684f, 0.597656f, 0.619141f, 0.826172f, 0.837402f,
		0.837891f, 0.837402f, 0.835449f, 0.833984f, 0.001134f, 0.003105f, 0.005337f, 0.007462f, 0.009628f, 0.011833f, 0.014137f, 0.016113f,
		0.018875f, 0.021484f, 0.024063f, 0.026581f, 0.029709f, 0.032623f, 0.036194f, 0.039703f, 0.043335f, 0.047058f, 0.051422f, 0.055908f,
		0.060608f, 0.065491f, 0.071167f, 0.076843f, 0.083313f, 0.089661f, 0.097168f, 0.104492f, 0.112122f, 0.121155f, 0.130615f, 0.140137f,
		0.150757f, 0.161499f, 0.173462f, 0.185547f, 0.199341f, 0.212524f, 0.227051f, 0.242310f, 0.258057f, 0.274414f, 0.291016f, 0.309082f,
		0.327148f, 0.345459f, 0.364990f, 0.384521f, 0.404297f, 0.425781f, 0.445801f, 0.467285f, 0.489258f, 0.510254f, 0.533203f, 0.555664f,
		0.578125f, 0.601074f, 0.817871f, 0.830078f, 0.831055f, 0.830078f, 0.829102f, 0.828125f, 0.001101f, 0.003019f, 0.004818f, 0.006725f,
		0.008781f, 0.010864f, 0.013069f, 0.014801f, 0.017151f, 0.019531f, 0.021973f, 0.024429f, 0.026917f, 0.030121f, 0.033112f, 0.036041f,
		0.039337f, 0.042542f, 0.046509f, 0.050537f, 0.054596f, 0.058990f, 0.064209f, 0.069519f, 0.075134f, 0.080994f, 0.087158f, 0.094177f,
		0.102051f, 0.109741f, 0.117981f, 0.127319f, 0.136963f, 0.147095f, 0.158081f, 0.169434f, 0.182251f, 0.195557f, 0.208984f, 0.223267f,
		0.238281f, 0.254639f, 0.270996f, 0.288330f, 0.305908f, 0.324219f, 0.343018f, 0.362549f, 0.382324f, 0.402832f, 0.424805f, 0.445312f,
		0.467529f, 0.489258f, 0.511230f, 0.535645f, 0.558594f, 0.582031f, 0.809082f, 0.822266f, 0.824219f, 0.823242f, 0.821777f, 0.820801f,
		0.000987f, 0.002644f, 0.004562f, 0.006344f, 0.008133f, 0.009918f, 0.011696f, 0.013527f, 0.015572f, 0.017746f, 0.019714f, 0.021942f,
		0.024155f, 0.027069f, 0.029678f, 0.032288f, 0.035156f, 0.038574f, 0.041779f, 0.045319f, 0.049225f, 0.053284f, 0.057678f, 0.062225f,
		0.067505f, 0.072571f, 0.078613f, 0.084961f, 0.092041f, 0.098938f, 0.106506f, 0.115112f, 0.123779f, 0.133667f, 0.143311f, 0.154541f,
		0.165894f, 0.178345f, 0.191406f, 0.205200f, 0.219238f, 0.234985f, 0.250977f, 0.267578f, 0.284912f, 0.302734f, 0.321289f, 0.340332f,
		0.360352f, 0.380615f, 0.401611f, 0.423340f, 0.445312f, 0.467529f, 0.490967f, 0.514160f, 0.537598f, 0.561035f, 0.800293f, 0.814453f,
		0.815918f, 0.815918f, 0.814941f, 0.813965f, 0.000932f, 0.002567f, 0.004009f, 0.005722f, 0.007538f, 0.008812f, 0.010864f, 0.012413f,
		0.014290f, 0.015991f, 0.018051f, 0.019836f, 0.022247f, 0.024506f, 0.026520f, 0.029175f, 0.031769f, 0.034332f, 0.037689f, 0.040466f,
		0.043945f, 0.047607f, 0.051605f, 0.055817f, 0.060486f, 0.065125f, 0.070557f, 0.076111f, 0.081909f, 0.088806f, 0.095886f, 0.103210f,
		0.111755f, 0.120422f, 0.130249f, 0.140137f, 0.150513f, 0.162109f, 0.174561f, 0.187256f, 0.200928f, 0.215698f, 0.231323f, 0.246582f,
		0.264160f, 0.281982f, 0.299561f, 0.319092f, 0.338623f, 0.358643f, 0.379883f, 0.400879f, 0.423096f, 0.445557f, 0.468750f, 0.492188f,
		0.516113f, 0.541504f, 0.791016f, 0.805664f, 0.808105f, 0.808594f, 0.807129f, 0.806641f, 0.000871f, 0.002337f, 0.003727f, 0.005474f,
		0.006641f, 0.008377f, 0.009567f, 0.011154f, 0.012848f, 0.014610f, 0.016235f, 0.017960f, 0.019958f, 0.021729f, 0.023926f, 0.026154f,
		0.028351f, 0.030975f, 0.033722f, 0.036407f, 0.039459f, 0.042694f, 0.046082f, 0.049896f, 0.053833f, 0.058167f, 0.062744f, 0.067932f,
		0.073608f, 0.079468f, 0.085632f, 0.092651f, 0.100098f, 0.108521f, 0.116699f, 0.126099f, 0.136108f, 0.146606f, 0.157959f, 0.170410f,
		0.183594f, 0.197510f, 0.212280f, 0.227295f, 0.243652f, 0.260986f, 0.278564f, 0.297607f, 0.316406f, 0.336426f, 0.357178f, 0.378662f,
		0.400146f, 0.422852f, 0.446045f, 0.470215f, 0.494873f, 0.520020f, 0.781250f, 0.796875f, 0.800293f, 0.800781f, 0.799805f, 0.799316f,
		0.000782f, 0.002131f, 0.003649f, 0.004715f, 0.006054f, 0.007458f, 0.008759f, 0.010269f, 0.011711f, 0.012970f, 0.014664f, 0.016327f,
		0.017914f, 0.019699f, 0.021423f, 0.023499f, 0.025391f, 0.027374f, 0.029999f, 0.032501f, 0.035156f, 0.037872f, 0.040710f, 0.044403f,
		0.047791f, 0.051880f, 0.055969f, 0.060364f, 0.065247f, 0.070496f, 0.076172f, 0.082825f, 0.089294f, 0.096497f, 0.104431f, 0.112854f,
		0.122375f, 0.132202f, 0.142700f, 0.153931f, 0.166260f, 0.179565f, 0.193481f, 0.208008f, 0.223877f, 0.240479f, 0.257568f, 0.275879f,
		0.294922f, 0.314453f, 0.334961f, 0.355957f, 0.377686f, 0.400391f, 0.423828f, 0.448730f, 0.472900f, 0.498535f, 0.771484f, 0.789062f,
		0.791504f, 0.792480f, 0.791016f, 0.791016f, 0.000742f, 0.001822f, 0.003183f, 0.004444f, 0.005600f, 0.006550f, 0.008087f, 0.009247f,
		0.010559f, 0.011650f, 0.013184f, 0.014565f, 0.016083f, 0.017548f, 0.019119f, 0.020737f, 0.022644f, 0.024597f, 0.026627f, 0.028809f,
		0.031281f, 0.033539f, 0.036469f, 0.039429f, 0.042480f, 0.045654f, 0.049561f, 0.053406f, 0.057739f, 0.062469f, 0.067749f, 0.073364f,
		0.079773f, 0.086121f, 0.093262f, 0.100647f, 0.109253f, 0.118042f, 0.128174f, 0.138550f, 0.150024f, 0.162231f, 0.175171f, 0.189087f,
		0.204468f, 0.220215f, 0.236938f, 0.254639f, 0.273438f, 0.292236f, 0.312012f, 0.333252f, 0.355957f, 0.377686f, 0.401367f, 0.425781f,
		0.451416f, 0.476318f, 0.761230f, 0.779785f, 0.782227f, 0.782715f, 0.782715f, 0.782715f, 0.000632f, 0.001970f, 0.003042f, 0.004025f,
		0.005173f, 0.006435f, 0.007343f, 0.008522f, 0.009369f, 0.010475f, 0.011726f, 0.012962f, 0.014145f, 0.015411f, 0.016922f, 0.018478f,
		0.020111f, 0.021835f, 0.023682f, 0.025253f, 0.027466f, 0.029678f, 0.032196f, 0.034607f, 0.037415f, 0.040497f, 0.043610f, 0.047089f,
		0.051178f, 0.055573f, 0.059845f, 0.064758f, 0.070068f, 0.076111f, 0.082275f, 0.089417f, 0.096863f, 0.105286f, 0.114441f, 0.123535f,
		0.134399f, 0.145508f, 0.157959f, 0.171387f, 0.185425f, 0.200806f, 0.216919f, 0.233521f, 0.251953f, 0.270508f, 0.290527f, 0.310791f,
		0.332275f, 0.355469f, 0.378418f, 0.403564f, 0.428223f, 0.455322f, 0.750977f, 0.770996f, 0.774414f, 0.774414f, 0.774902f, 0.773926f,
		0.000517f, 0.001554f, 0.002741f, 0.003695f, 0.004669f, 0.005417f, 0.006466f, 0.007545f, 0.008453f, 0.009499f, 0.010468f, 0.011490f,
		0.012718f, 0.013985f, 0.014977f, 0.016235f, 0.017868f, 0.019211f, 0.020630f, 0.022263f, 0.024078f, 0.026291f, 0.028275f, 0.030380f,
		0.032928f, 0.035675f, 0.038513f, 0.041656f, 0.044769f, 0.048523f, 0.052216f, 0.057007f, 0.061493f, 0.066711f, 0.072510f, 0.078735f,
		0.085327f, 0.093201f, 0.101135f, 0.109619f, 0.119690f, 0.130371f, 0.141602f, 0.154053f, 0.167480f, 0.181396f, 0.197021f, 0.213623f,
		0.230835f, 0.248901f, 0.268066f, 0.289062f, 0.310303f, 0.332520f, 0.355225f, 0.379639f, 0.405273f, 0.432373f, 0.740234f, 0.760742f,
		0.763672f, 0.765625f, 0.765625f, 0.765625f, 0.000588f, 0.001405f, 0.002306f, 0.003370f, 0.004375f, 0.005116f, 0.005817f, 0.006630f,
		0.007797f, 0.008507f, 0.009216f, 0.010254f, 0.011246f, 0.012154f, 0.013191f, 0.014366f, 0.015503f, 0.016785f, 0.018127f, 0.019562f,
		0.021072f, 0.022919f, 0.024643f, 0.026749f, 0.028564f, 0.031006f, 0.033203f, 0.036072f, 0.039032f, 0.042114f, 0.045654f, 0.049561f,
		0.053650f, 0.058380f, 0.063049f, 0.068848f, 0.075256f, 0.081543f, 0.088562f, 0.096924f, 0.105652f, 0.115173f, 0.125977f, 0.137207f,
		0.149902f, 0.163208f, 0.177979f, 0.193726f, 0.210205f, 0.228027f, 0.247070f, 0.266602f, 0.287842f, 0.309326f, 0.333008f, 0.356934f,
		0.382568f, 0.408691f, 0.729004f, 0.751953f, 0.755371f, 0.756348f, 0.757324f, 0.756348f, 0.000431f, 0.001562f, 0.002253f, 0.003088f,
		0.003944f, 0.004536f, 0.005066f, 0.006020f, 0.006840f, 0.007542f, 0.008347f, 0.008949f, 0.009827f, 0.010719f, 0.011696f, 0.012756f,
		0.013649f, 0.014679f, 0.015808f, 0.017288f, 0.018356f, 0.019913f, 0.021332f, 0.023148f, 0.024719f, 0.026840f, 0.029007f, 0.031250f,
		0.033661f, 0.036469f, 0.039490f, 0.042969f, 0.046326f, 0.050293f, 0.054901f, 0.059845f, 0.064941f, 0.071289f, 0.077454f, 0.084656f,
		0.092529f, 0.101562f, 0.111145f, 0.121460f, 0.132935f, 0.145386f, 0.159302f, 0.174438f, 0.190186f, 0.206909f, 0.225098f, 0.244751f,
		0.265381f, 0.287109f, 0.310059f, 0.333984f, 0.359131f, 0.386230f, 0.716797f, 0.740723f, 0.744629f, 0.746582f, 0.747070f, 0.747070f,
		0.000576f, 0.001266f, 0.002028f, 0.002766f, 0.003317f, 0.004051f, 0.004742f, 0.005459f, 0.006054f, 0.006641f, 0.007240f, 0.007919f,
		0.008644f, 0.009300f, 0.010170f, 0.010925f, 0.011795f, 0.012733f, 0.013855f, 0.014885f, 0.015900f, 0.017212f, 0.018326f, 0.019684f,
		0.021469f, 0.023178f, 0.024734f, 0.026794f, 0.028946f, 0.031204f, 0.033844f, 0.036682f, 0.039948f, 0.043335f, 0.047150f, 0.051422f,
		0.055969f, 0.061066f, 0.067139f, 0.073242f, 0.080444f, 0.088440f, 0.096985f, 0.106445f, 0.116943f, 0.128906f, 0.141479f, 0.154907f,
		0.170410f, 0.186523f, 0.204102f, 0.222900f, 0.243774f, 0.264160f, 0.286865f, 0.310791f, 0.336182f, 0.362793f, 0.705078f, 0.730469f,
		0.735352f, 0.736816f, 0.737793f, 0.736816f, 0.000307f, 0.001126f, 0.001758f, 0.002436f, 0.002911f, 0.003540f, 0.004047f, 0.004711f,
		0.005245f, 0.005749f, 0.006302f, 0.006844f, 0.007355f, 0.008095f, 0.008835f, 0.009438f, 0.010139f, 0.010941f, 0.011963f, 0.012878f,
		0.013519f, 0.014847f, 0.015945f, 0.017029f, 0.018250f, 0.019669f, 0.021362f, 0.022675f, 0.024750f, 0.026657f, 0.028854f, 0.031219f,
		0.033844f, 0.036804f, 0.040222f, 0.043793f, 0.047791f, 0.052185f, 0.057251f, 0.062866f, 0.069275f, 0.075867f, 0.083923f, 0.092407f,
		0.102295f, 0.112366f, 0.124207f, 0.137085f, 0.151489f, 0.167114f, 0.183838f, 0.202148f, 0.221558f, 0.242065f, 0.263916f, 0.287842f,
		0.312256f, 0.339111f, 0.693848f, 0.719727f, 0.724609f, 0.726074f, 0.727539f, 0.727051f, 0.000428f, 0.000939f, 0.001581f, 0.002033f,
		0.002665f, 0.003222f, 0.003660f, 0.004059f, 0.004475f, 0.004997f, 0.005554f, 0.006031f, 0.006371f, 0.007080f, 0.007511f, 0.008263f,
		0.008820f, 0.009552f, 0.010124f, 0.010948f, 0.011665f, 0.012550f, 0.013397f, 0.014526f, 0.015388f, 0.016754f, 0.017960f, 0.019257f,
		0.020844f, 0.022583f, 0.024246f, 0.026642f, 0.028656f, 0.031128f, 0.033783f, 0.036865f, 0.040253f, 0.044312f, 0.048523f, 0.053314f,
		0.058655f, 0.064880f, 0.071594f, 0.079102f, 0.087891f, 0.097107f, 0.108276f, 0.119751f, 0.133179f, 0.148071f, 0.163818f, 0.180908f,
		0.199951f, 0.219849f, 0.241699f, 0.264160f, 0.288818f, 0.315918f, 0.680176f, 0.708496f, 0.713867f, 0.716309f, 0.716797f, 0.717285f,
		0.000467f, 0.001054f, 0.001476f, 0.001825f, 0.002386f, 0.002644f, 0.003218f, 0.003553f, 0.003866f, 0.004433f, 0.004700f, 0.004948f,
		0.005505f, 0.006023f, 0.006405f, 0.006920f, 0.007484f, 0.008057f, 0.008598f, 0.009178f, 0.009857f, 0.010551f, 0.011169f, 0.012199f,
		0.013092f, 0.014084f, 0.015091f, 0.016205f, 0.017303f, 0.018845f, 0.020538f, 0.021957f, 0.023773f, 0.025833f, 0.028152f, 0.030716f,
		0.033661f, 0.036896f, 0.040405f, 0.044708f, 0.049286f, 0.054321f, 0.060333f, 0.067322f, 0.074890f, 0.083435f, 0.092651f, 0.103516f,
		0.115784f, 0.129028f, 0.144287f, 0.160278f, 0.178345f, 0.197632f, 0.218994f, 0.241089f, 0.265869f, 0.292725f, 0.667969f, 0.697266f,
		0.702637f, 0.704590f, 0.706055f, 0.707031f, 0.000348f, 0.000841f, 0.001292f, 0.001580f, 0.001961f, 0.002508f, 0.002630f, 0.002993f,
		0.003458f, 0.003738f, 0.003952f, 0.004425f, 0.004639f, 0.005070f, 0.005547f, 0.005840f, 0.006462f, 0.006844f, 0.007214f, 0.007698f,
		0.008339f, 0.008980f, 0.009560f, 0.010094f, 0.010941f, 0.011711f, 0.012550f, 0.013565f, 0.014404f, 0.015579f, 0.016754f, 0.018082f,
		0.019592f, 0.021439f, 0.023209f, 0.025375f, 0.027863f, 0.030411f, 0.033478f, 0.037018f, 0.040680f, 0.045105f, 0.050476f, 0.056183f,
		0.062805f, 0.070251f, 0.078613f, 0.088196f, 0.099060f, 0.111450f, 0.125122f, 0.140869f, 0.158203f, 0.176880f, 0.197266f, 0.218506f,
		0.242798f, 0.268555f, 0.655273f, 0.686035f, 0.691406f, 0.694336f, 0.695312f, 0.695801f, 0.000170f, 0.000976f, 0.001161f, 0.001441f,
		0.001846f, 0.002144f, 0.002367f, 0.002632f, 0.002892f, 0.003178f, 0.003435f, 0.003618f, 0.004021f, 0.004292f, 0.004562f, 0.005028f,
		0.005405f, 0.005623f, 0.006069f, 0.006577f, 0.006973f, 0.007431f, 0.007904f, 0.008484f, 0.009018f, 0.009659f, 0.010559f, 0.010994f,
		0.012009f, 0.012840f, 0.013901f, 0.014915f, 0.016129f, 0.017502f, 0.019089f, 0.020676f, 0.022568f, 0.024673f, 0.027252f, 0.029984f,
		0.033234f, 0.037079f, 0.041016f, 0.045868f, 0.051758f, 0.058014f, 0.065613f, 0.073853f, 0.083801f, 0.094727f, 0.107483f, 0.121826f,
		0.137573f, 0.156006f, 0.175049f, 0.196167f, 0.219482f, 0.245850f, 0.641113f, 0.673340f, 0.679688f, 0.681641f, 0.683594f, 0.684082f,
		0.000293f, 0.000601f, 0.001049f, 0.001358f, 0.001532f, 0.001719f, 0.001882f, 0.002298f, 0.002317f, 0.002628f, 0.002750f, 0.003143f,
		0.003363f, 0.003559f, 0.003866f, 0.004204f, 0.004383f, 0.004753f, 0.005028f, 0.005348f, 0.005863f, 0.006176f, 0.006569f, 0.006954f,
		0.007401f, 0.008057f, 0.008537f, 0.009178f, 0.009735f, 0.010521f, 0.011208f, 0.011978f, 0.013130f, 0.014099f, 0.015289f, 0.016739f,
		0.018219f, 0.019821f, 0.021713f, 0.024200f, 0.026749f, 0.029785f, 0.033386f, 0.036987f, 0.041840f, 0.047089f, 0.053253f, 0.060760f,
		0.069214f, 0.079224f, 0.090515f, 0.103638f, 0.118652f, 0.135376f, 0.154175f, 0.174561f, 0.196777f, 0.222534f, 0.628906f, 0.660645f,
		0.668457f, 0.670410f, 0.672852f, 0.673340f, 0.000258f, 0.000656f, 0.000811f, 0.001049f, 0.001288f, 0.001462f, 0.001599f, 0.001740f,
		0.002012f, 0.002171f, 0.002367f, 0.002535f, 0.002705f, 0.002880f, 0.003115f, 0.003429f, 0.003666f, 0.003897f, 0.004116f, 0.004398f,
		0.004635f, 0.005066f, 0.005341f, 0.005779f, 0.006042f, 0.006454f, 0.006954f, 0.007450f, 0.007835f, 0.008400f, 0.009132f, 0.009819f,
		0.010536f, 0.011307f, 0.012245f, 0.013229f, 0.014580f, 0.015900f, 0.017303f, 0.019119f, 0.021103f, 0.023468f, 0.026123f, 0.029495f,
		0.033112f, 0.037628f, 0.042938f, 0.048859f, 0.056152f, 0.064941f, 0.074829f, 0.086548f, 0.100281f, 0.115967f, 0.133545f, 0.153198f,
		0.175171f, 0.199341f, 0.613770f, 0.648926f, 0.655273f, 0.658691f, 0.660645f, 0.662598f, 0.000176f, 0.000474f, 0.000602f, 0.000854f,
		0.001030f, 0.001240f, 0.001349f, 0.001505f, 0.001580f, 0.001738f, 0.001957f, 0.002068f, 0.002230f, 0.002420f, 0.002556f, 0.002705f,
		0.002998f, 0.003178f, 0.003345f, 0.003567f, 0.003811f, 0.004105f, 0.004284f, 0.004593f, 0.004848f, 0.005173f, 0.005527f, 0.005939f,
		0.006306f, 0.006817f, 0.007366f, 0.007729f, 0.008339f, 0.008995f, 0.009644f, 0.010551f, 0.011360f, 0.012344f, 0.013710f, 0.015030f,
		0.016510f, 0.018143f, 0.020279f, 0.022751f, 0.025650f, 0.029144f, 0.033508f, 0.038452f, 0.044556f, 0.052032f, 0.060364f, 0.070923f,
		0.082642f, 0.097290f, 0.113525f, 0.132446f, 0.153442f, 0.176880f, 0.600586f, 0.636719f, 0.644531f, 0.647461f, 0.648926f, 0.649414f,
		0.000121f, 0.000426f, 0.000509f, 0.000778f, 0.000931f, 0.000992f, 0.001135f, 0.001303f, 0.001359f, 0.001410f, 0.001519f, 0.001722f,
		0.001751f, 0.001951f, 0.002060f, 0.002218f, 0.002287f, 0.002487f, 0.002670f, 0.002848f, 0.003061f, 0.003233f, 0.003452f, 0.003664f,
		0.003883f, 0.004078f, 0.004379f, 0.004692f, 0.004982f, 0.005329f, 0.005756f, 0.006081f, 0.006504f, 0.007019f, 0.007599f, 0.008217f,
		0.008850f, 0.009628f, 0.010437f, 0.011597f, 0.012650f, 0.013931f, 0.015480f, 0.017380f, 0.019577f, 0.022247f, 0.025513f, 0.029617f,
		0.034363f, 0.040314f, 0.047241f, 0.056274f, 0.066711f, 0.079773f, 0.094482f, 0.112488f, 0.132446f, 0.154907f, 0.585449f, 0.624023f,
		0.630371f, 0.634277f, 0.636230f, 0.637207f, 0.000161f, 0.000263f, 0.000526f, 0.000627f, 0.000723f, 0.000775f, 0.000856f, 0.000960f,
		0.001079f, 0.001158f, 0.001208f, 0.001272f, 0.001441f, 0.001557f, 0.001657f, 0.001702f, 0.001897f, 0.001918f, 0.002151f, 0.002232f,
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		0.616699f, 0.633789f, 0.649414f, 0.663574f, 0.678711f, 0.693848f, 0.706543f, 0.721680f, 0.734375f, 0.746582f, 0.760742f, 0.773438f,
		0.786133f, 0.797852f, 0.809082f, 0.821777f, 0.832031f, 0.843262f, 0.854492f, 0.864746f, 0.875000f, 0.884766f, 0.895020f, 0.904785f,
		0.914062f, 0.922852f, 0.957520f, 0.947266f, 0.938965f, 0.930664f, 0.923340f, 0.916992f, 0.007668f, 0.024017f, 0.040405f, 0.057831f,
		0.075195f, 0.093079f, 0.111694f, 0.130127f, 0.148926f, 0.168213f, 0.187500f, 0.206543f, 0.226440f, 0.246460f, 0.265869f, 0.285400f,
		0.305176f, 0.324707f, 0.344238f, 0.363281f, 0.383057f, 0.401123f, 0.420166f, 0.439941f, 0.457764f, 0.475586f, 0.493164f, 0.511719f,
		0.528809f, 0.545898f, 0.562988f, 0.579590f, 0.596191f, 0.612305f, 0.627441f, 0.643555f, 0.658203f, 0.672363f, 0.687988f, 0.702637f,
		0.715332f, 0.728516f, 0.742676f, 0.756348f, 0.768555f, 0.781250f, 0.794434f, 0.806152f, 0.818359f, 0.828613f, 0.840332f, 0.851074f,
		0.861816f, 0.872559f, 0.882812f, 0.892578f, 0.903320f, 0.912598f, 0.952637f, 0.943848f, 0.935059f, 0.927246f, 0.920410f, 0.914062f,
		0.007263f, 0.021530f, 0.037048f, 0.052429f, 0.068909f, 0.084961f, 0.102112f, 0.119568f, 0.136475f, 0.154541f, 0.172852f, 0.191528f,
		0.209717f, 0.228638f, 0.246948f, 0.265869f, 0.284912f, 0.304199f, 0.322510f, 0.341309f, 0.360596f, 0.379639f, 0.397461f, 0.416504f,
		0.434570f, 0.452881f, 0.470947f, 0.489014f, 0.505859f, 0.523438f, 0.541016f, 0.557129f, 0.574219f, 0.590332f, 0.606445f, 0.622070f,
		0.637695f, 0.653809f, 0.667969f, 0.682129f, 0.697754f, 0.711426f, 0.724609f, 0.737793f, 0.750977f, 0.765625f, 0.777832f, 0.790039f,
		0.801270f, 0.813477f, 0.825684f, 0.837402f, 0.848145f, 0.859375f, 0.870117f, 0.880859f, 0.891602f, 0.900391f, 0.947754f, 0.938965f,
		0.931152f, 0.923828f, 0.917480f, 0.911133f, 0.006401f, 0.019730f, 0.033813f, 0.047729f, 0.062561f, 0.077515f, 0.093140f, 0.108948f,
		0.125366f, 0.141968f, 0.159058f, 0.175781f, 0.193726f, 0.212036f, 0.229980f, 0.247681f, 0.265869f, 0.284424f, 0.302734f, 0.320557f,
		0.339111f, 0.357910f, 0.376221f, 0.394287f, 0.412109f, 0.429688f, 0.448486f, 0.466064f, 0.483398f, 0.500977f, 0.517090f, 0.535156f,
		0.552246f, 0.568359f, 0.583984f, 0.600586f, 0.616699f, 0.632324f, 0.647949f, 0.662598f, 0.677246f, 0.692383f, 0.706543f, 0.719727f,
		0.734375f, 0.747070f, 0.761230f, 0.773926f, 0.786621f, 0.797852f, 0.811523f, 0.823242f, 0.834961f, 0.846680f, 0.857422f, 0.868652f,
		0.879395f, 0.890137f, 0.942383f, 0.934082f, 0.927246f, 0.919922f, 0.913574f, 0.908203f, 0.005836f, 0.018158f, 0.030746f, 0.043335f,
		0.057007f, 0.070801f, 0.085754f, 0.099548f, 0.115112f, 0.130127f, 0.146362f, 0.162354f, 0.178711f, 0.195801f, 0.212769f, 0.230103f,
		0.247925f, 0.264893f, 0.283203f, 0.300293f, 0.318604f, 0.336426f, 0.354492f, 0.372314f, 0.390137f, 0.408203f, 0.425537f, 0.443848f,
		0.461182f, 0.478271f, 0.496094f, 0.513184f, 0.529297f, 0.546387f, 0.563477f, 0.580566f, 0.595703f, 0.611816f, 0.626465f, 0.642090f,
		0.658691f, 0.671875f, 0.686523f, 0.702148f, 0.716797f, 0.729980f, 0.744629f, 0.757324f, 0.770020f, 0.783203f, 0.796875f, 0.808105f,
		0.820312f, 0.832520f, 0.844727f, 0.855957f, 0.867188f, 0.877930f, 0.937012f, 0.930176f, 0.922852f, 0.916504f, 0.910645f, 0.904785f,
		0.005486f, 0.016525f, 0.028030f, 0.039612f, 0.052185f, 0.064636f, 0.077576f, 0.091553f, 0.105347f, 0.119568f, 0.134521f, 0.149536f,
		0.164917f, 0.180664f, 0.197388f, 0.213623f, 0.230347f, 0.246826f, 0.264160f, 0.280518f, 0.298584f, 0.315674f, 0.334229f, 0.350830f,
		0.369141f, 0.386963f, 0.404053f, 0.422119f, 0.438477f, 0.456299f, 0.474121f, 0.491211f, 0.507812f, 0.524902f, 0.541504f, 0.557617f,
		0.574707f, 0.590820f, 0.606934f, 0.622559f, 0.637207f, 0.652832f, 0.668945f, 0.683105f, 0.698730f, 0.711914f, 0.726074f, 0.740723f,
		0.753906f, 0.766602f, 0.780273f, 0.792969f, 0.805664f, 0.818848f, 0.830566f, 0.842285f, 0.854492f, 0.866211f, 0.931641f, 0.925781f,
		0.918945f, 0.913086f, 0.907227f, 0.900879f, 0.004810f, 0.014847f, 0.025604f, 0.036621f, 0.047577f, 0.059174f, 0.071472f, 0.084106f,
		0.096985f, 0.109863f, 0.124146f, 0.137939f, 0.152954f, 0.167358f, 0.182495f, 0.197754f, 0.213745f, 0.230103f, 0.246216f, 0.262939f,
		0.279297f, 0.296387f, 0.313477f, 0.329834f, 0.348145f, 0.365479f, 0.382080f, 0.399658f, 0.417480f, 0.434082f, 0.452148f, 0.469238f,
		0.486084f, 0.502441f, 0.520020f, 0.536621f, 0.552734f, 0.569336f, 0.585938f, 0.601562f, 0.617676f, 0.632812f, 0.648438f, 0.664062f,
		0.679688f, 0.693848f, 0.708008f, 0.722656f, 0.735840f, 0.750488f, 0.765137f, 0.777832f, 0.791016f, 0.803711f, 0.816895f, 0.829102f,
		0.841309f, 0.853027f, 0.925781f, 0.921387f, 0.914551f, 0.908203f, 0.903320f, 0.897461f, 0.004494f, 0.013809f, 0.023331f, 0.033264f,
		0.043549f, 0.053833f, 0.065369f, 0.076660f, 0.088684f, 0.100708f, 0.113464f, 0.127075f, 0.140381f, 0.154419f, 0.169067f, 0.183472f,
		0.198975f, 0.213623f, 0.229370f, 0.245117f, 0.261475f, 0.277832f, 0.294678f, 0.311523f, 0.327148f, 0.344727f, 0.362061f, 0.378418f,
		0.395996f, 0.413086f, 0.430176f, 0.447021f, 0.464111f, 0.481689f, 0.498047f, 0.514648f, 0.531738f, 0.547363f, 0.565430f, 0.582031f,
		0.597656f, 0.612793f, 0.628418f, 0.644043f, 0.660645f, 0.674805f, 0.689941f, 0.705078f, 0.718750f, 0.734375f, 0.747559f, 0.761719f,
		0.775391f, 0.788086f, 0.803223f, 0.814453f, 0.828125f, 0.840332f, 0.919434f, 0.916504f, 0.909668f, 0.904785f, 0.898926f, 0.894043f,
		0.004120f, 0.012512f, 0.021423f, 0.030655f, 0.039673f, 0.049500f, 0.059845f, 0.070374f, 0.081543f, 0.093323f, 0.104614f, 0.116577f,
		0.129395f, 0.142456f, 0.156250f, 0.169434f, 0.183594f, 0.198364f, 0.213257f, 0.228638f, 0.244141f, 0.259766f, 0.275635f, 0.291748f,
		0.308105f, 0.324707f, 0.341309f, 0.359131f, 0.375244f, 0.391846f, 0.408447f, 0.426025f, 0.442871f, 0.459473f, 0.477051f, 0.494141f,
		0.510254f, 0.527344f, 0.543457f, 0.560059f, 0.577148f, 0.592773f, 0.608887f, 0.625977f, 0.640625f, 0.656738f, 0.671875f, 0.686523f,
		0.702637f, 0.716797f, 0.731445f, 0.746582f, 0.759277f, 0.773926f, 0.787598f, 0.800293f, 0.814453f, 0.827148f, 0.914062f, 0.911133f,
		0.905273f, 0.899902f, 0.895508f, 0.890625f, 0.004120f, 0.011566f, 0.019180f, 0.027969f, 0.036255f, 0.045746f, 0.054901f, 0.064941f,
		0.074707f, 0.085327f, 0.096436f, 0.107239f, 0.119324f, 0.131470f, 0.144165f, 0.157104f, 0.169922f, 0.183594f, 0.198242f, 0.212769f,
		0.227295f, 0.242188f, 0.257568f, 0.273193f, 0.289307f, 0.305420f, 0.321289f, 0.337891f, 0.354492f, 0.371094f, 0.387451f, 0.405029f,
		0.421143f, 0.438477f, 0.455322f, 0.472656f, 0.488525f, 0.505859f, 0.521973f, 0.539551f, 0.555664f, 0.572754f, 0.588867f, 0.605469f,
		0.621582f, 0.637207f, 0.653320f, 0.668945f, 0.684570f, 0.698242f, 0.714844f, 0.729492f, 0.745117f, 0.758301f, 0.771973f, 0.787109f,
		0.800781f, 0.813477f, 0.907715f, 0.905762f, 0.900879f, 0.895508f, 0.890625f, 0.886719f, 0.003464f, 0.010536f, 0.018143f, 0.025604f,
		0.033600f, 0.041992f, 0.050659f, 0.059631f, 0.068481f, 0.078552f, 0.088196f, 0.099060f, 0.110107f, 0.121033f, 0.133057f, 0.145020f,
		0.157349f, 0.170166f, 0.183838f, 0.197632f, 0.210938f, 0.225464f, 0.241089f, 0.255371f, 0.270508f, 0.286377f, 0.302246f, 0.317871f,
		0.334229f, 0.349854f, 0.367188f, 0.383789f, 0.399414f, 0.417236f, 0.433838f, 0.450928f, 0.468018f, 0.484131f, 0.501465f, 0.519043f,
		0.535156f, 0.551758f, 0.568359f, 0.585449f, 0.601074f, 0.617676f, 0.634277f, 0.649902f, 0.666016f, 0.681152f, 0.695801f, 0.711914f,
		0.727539f, 0.741699f, 0.756836f, 0.770508f, 0.785645f, 0.800293f, 0.901855f, 0.900391f, 0.895996f, 0.891113f, 0.886230f, 0.881836f,
		0.003197f, 0.009903f, 0.016525f, 0.023849f, 0.030853f, 0.038605f, 0.046265f, 0.054657f, 0.063232f, 0.072266f, 0.081543f, 0.090881f,
		0.100769f, 0.112061f, 0.123047f, 0.134155f, 0.145752f, 0.157471f, 0.170166f, 0.182861f, 0.196289f, 0.210327f, 0.223755f, 0.238525f,
		0.253418f, 0.268066f, 0.283203f, 0.299316f, 0.314697f, 0.330811f, 0.346680f, 0.363281f, 0.379639f, 0.396484f, 0.412842f, 0.429443f,
		0.446289f, 0.462891f, 0.480225f, 0.497559f, 0.514648f, 0.531250f, 0.547852f, 0.564453f, 0.581055f, 0.598145f, 0.615234f, 0.631836f,
		0.646484f, 0.663086f, 0.679199f, 0.694824f, 0.710449f, 0.726074f, 0.740234f, 0.755859f, 0.770508f, 0.784668f, 0.895020f, 0.894531f,
		0.890625f, 0.886719f, 0.881836f, 0.877441f, 0.003071f, 0.009163f, 0.015602f, 0.021729f, 0.028412f, 0.035522f, 0.042755f, 0.050598f,
		0.057983f, 0.066284f, 0.075317f, 0.083862f, 0.092773f, 0.102905f, 0.113342f, 0.123840f, 0.134399f, 0.145752f, 0.157593f, 0.169556f,
		0.182129f, 0.194702f, 0.207886f, 0.222046f, 0.235840f, 0.250977f, 0.265137f, 0.280273f, 0.295898f, 0.311279f, 0.326660f, 0.342773f,
		0.359375f, 0.375732f, 0.392090f, 0.409180f, 0.425049f, 0.441895f, 0.459473f, 0.476318f, 0.493652f, 0.510742f, 0.527344f, 0.544434f,
		0.561035f, 0.578125f, 0.595215f, 0.611328f, 0.628418f, 0.645020f, 0.661133f, 0.677246f, 0.693359f, 0.708496f, 0.724609f, 0.740723f,
		0.755859f, 0.771484f, 0.889160f, 0.889160f, 0.885254f, 0.881348f, 0.876953f, 0.873047f, 0.002748f, 0.008171f, 0.014084f, 0.019638f,
		0.026108f, 0.032318f, 0.039154f, 0.045990f, 0.053619f, 0.061066f, 0.068665f, 0.076477f, 0.085632f, 0.094727f, 0.104187f, 0.113831f,
		0.123535f, 0.134888f, 0.145508f, 0.157104f, 0.168701f, 0.181030f, 0.193481f, 0.206665f, 0.220093f, 0.233398f, 0.248169f, 0.262695f,
		0.277344f, 0.292236f, 0.307617f, 0.322998f, 0.339355f, 0.355469f, 0.371582f, 0.388184f, 0.404541f, 0.420410f, 0.438477f, 0.455322f,
		0.472656f, 0.489014f, 0.506348f, 0.523926f, 0.541016f, 0.557617f, 0.575195f, 0.591309f, 0.608887f, 0.625977f, 0.643555f, 0.659180f,
		0.674805f, 0.691406f, 0.707520f, 0.724121f, 0.739746f, 0.755371f, 0.882812f, 0.883789f, 0.879883f, 0.875977f, 0.872559f, 0.868652f,
		0.002491f, 0.007809f, 0.012764f, 0.018448f, 0.024094f, 0.029861f, 0.036102f, 0.042572f, 0.049500f, 0.056091f, 0.063293f, 0.070984f,
		0.079285f, 0.087036f, 0.095825f, 0.104858f, 0.114441f, 0.124084f, 0.133789f, 0.144653f, 0.156250f, 0.167480f, 0.179199f, 0.191650f,
		0.204102f, 0.217896f, 0.231445f, 0.245239f, 0.259521f, 0.274170f, 0.289307f, 0.304199f, 0.319580f, 0.334961f, 0.351074f, 0.367676f,
		0.384277f, 0.400635f, 0.417480f, 0.434570f, 0.451660f, 0.468994f, 0.485352f, 0.502441f, 0.520508f, 0.537109f, 0.554688f, 0.571777f,
		0.588867f, 0.605957f, 0.623047f, 0.639648f, 0.656738f, 0.673828f, 0.690430f, 0.708008f, 0.723633f, 0.739746f, 0.874023f, 0.876953f,
		0.874023f, 0.871582f, 0.867188f, 0.862793f, 0.002279f, 0.007130f, 0.012291f, 0.016922f, 0.022171f, 0.027847f, 0.033325f, 0.039185f,
		0.045349f, 0.051849f, 0.058411f, 0.064880f, 0.072144f, 0.080017f, 0.087891f, 0.096313f, 0.105103f, 0.114197f, 0.123779f, 0.134155f,
		0.144043f, 0.155151f, 0.166016f, 0.177246f, 0.189697f, 0.202271f, 0.214722f, 0.228271f, 0.242310f, 0.256592f, 0.270752f, 0.285400f,
		0.300537f, 0.315674f, 0.331543f, 0.347656f, 0.363525f, 0.379639f, 0.396729f, 0.414307f, 0.430908f, 0.447754f, 0.465088f, 0.482178f,
		0.499512f, 0.517090f, 0.533203f, 0.552246f, 0.568848f, 0.586426f, 0.603516f, 0.621582f, 0.639648f, 0.656250f, 0.673828f, 0.690918f,
		0.707520f, 0.724121f, 0.867676f, 0.870605f, 0.868164f, 0.865723f, 0.861328f, 0.857910f, 0.002220f, 0.006565f, 0.011238f, 0.015961f,
		0.020401f, 0.025558f, 0.030853f, 0.036133f, 0.041199f, 0.047180f, 0.053436f, 0.059723f, 0.066162f, 0.073853f, 0.080688f, 0.088440f,
		0.096436f, 0.105042f, 0.114319f, 0.123047f, 0.132446f, 0.142822f, 0.153198f, 0.164062f, 0.175659f, 0.187378f, 0.199463f, 0.212402f,
		0.225464f, 0.239014f, 0.252686f, 0.266846f, 0.281494f, 0.296631f, 0.312500f, 0.328369f, 0.343750f, 0.359863f, 0.376221f, 0.393066f,
		0.409668f, 0.426514f, 0.444336f, 0.461670f, 0.478760f, 0.496826f, 0.513672f, 0.532227f, 0.549316f, 0.567383f, 0.584961f, 0.602051f,
		0.620605f, 0.637207f, 0.655273f, 0.672363f, 0.689941f, 0.708008f, 0.860840f, 0.864746f, 0.862793f, 0.859375f, 0.855957f, 0.853027f,
		0.002190f, 0.005993f, 0.010117f, 0.014420f, 0.018738f, 0.023361f, 0.028015f, 0.033142f, 0.037781f, 0.043732f, 0.048920f, 0.054840f,
		0.061218f, 0.067810f, 0.074219f, 0.081299f, 0.088562f, 0.096130f, 0.104614f, 0.113098f, 0.122253f, 0.131714f, 0.141113f, 0.151245f,
		0.162109f, 0.173462f, 0.184692f, 0.196899f, 0.209473f, 0.222534f, 0.236206f, 0.249634f, 0.263672f, 0.277588f, 0.293213f, 0.308350f,
		0.323975f, 0.339844f, 0.355957f, 0.372070f, 0.389404f, 0.405762f, 0.422852f, 0.439941f, 0.458008f, 0.475098f, 0.492920f, 0.510742f,
		0.528320f, 0.546875f, 0.564453f, 0.583496f, 0.601074f, 0.619141f, 0.636719f, 0.654785f, 0.672852f, 0.691406f, 0.852539f, 0.858398f,
		0.856445f, 0.853516f, 0.850586f, 0.847656f, 0.001787f, 0.005753f, 0.009300f, 0.013611f, 0.017410f, 0.021576f, 0.025665f, 0.030533f,
		0.035126f, 0.040039f, 0.044952f, 0.050446f, 0.055817f, 0.061890f, 0.068054f, 0.074707f, 0.081482f, 0.088501f, 0.095764f, 0.103943f,
		0.112183f, 0.120850f, 0.130249f, 0.139526f, 0.149658f, 0.160400f, 0.171021f, 0.182007f, 0.194336f, 0.206421f, 0.219360f, 0.232666f,
		0.245850f, 0.260010f, 0.274170f, 0.289307f, 0.304443f, 0.319580f, 0.335693f, 0.352295f, 0.369141f, 0.385498f, 0.402344f, 0.419189f,
		0.437012f, 0.454346f, 0.472412f, 0.490234f, 0.507812f, 0.525879f, 0.545410f, 0.562500f, 0.581055f, 0.600098f, 0.618164f, 0.636719f,
		0.655273f, 0.674316f, 0.845703f, 0.852051f, 0.849609f, 0.847168f, 0.845215f, 0.841309f, 0.001766f, 0.005241f, 0.008881f, 0.012024f,
		0.016129f, 0.020233f, 0.024124f, 0.027664f, 0.032135f, 0.036835f, 0.041321f, 0.046173f, 0.051392f, 0.056946f, 0.062225f, 0.068604f,
		0.074524f, 0.080933f, 0.088135f, 0.095398f, 0.103210f, 0.110779f, 0.119263f, 0.128296f, 0.137695f, 0.147217f, 0.157349f, 0.168091f,
		0.179688f, 0.191284f, 0.203613f, 0.215942f, 0.228882f, 0.242554f, 0.255859f, 0.270508f, 0.285400f, 0.300537f, 0.316406f, 0.331787f,
		0.348877f, 0.364746f, 0.382080f, 0.398682f, 0.415771f, 0.434082f, 0.451416f, 0.469482f, 0.487793f, 0.505859f, 0.524414f, 0.542969f,
		0.562012f, 0.580566f, 0.598145f, 0.618652f, 0.637695f, 0.657227f, 0.837891f, 0.844727f, 0.843750f, 0.841309f, 0.838379f, 0.836426f,
		0.001598f, 0.004887f, 0.008217f, 0.011497f, 0.014786f, 0.018326f, 0.021652f, 0.025513f, 0.029541f, 0.033813f, 0.038086f, 0.042236f,
		0.046844f, 0.052032f, 0.057251f, 0.062622f, 0.068237f, 0.074280f, 0.080505f, 0.086975f, 0.094116f, 0.101074f, 0.109314f, 0.117554f,
		0.126587f, 0.135254f, 0.144775f, 0.155029f, 0.165405f, 0.176392f, 0.187744f, 0.199829f, 0.212646f, 0.224976f, 0.238647f, 0.252441f,
		0.267090f, 0.281738f, 0.296631f, 0.312256f, 0.328369f, 0.344971f, 0.361328f, 0.377686f, 0.395264f, 0.412842f, 0.430908f, 0.448730f,
		0.467041f, 0.485596f, 0.503906f, 0.522461f, 0.541504f, 0.561523f, 0.580078f, 0.599121f, 0.618164f, 0.639648f, 0.828613f, 0.837891f,
		0.836914f, 0.834473f, 0.833008f, 0.830566f, 0.001709f, 0.004494f, 0.007416f, 0.010628f, 0.013680f, 0.016785f, 0.020203f, 0.023712f,
		0.027435f, 0.031006f, 0.034424f, 0.038635f, 0.043182f, 0.047668f, 0.052307f, 0.057159f, 0.062042f, 0.067749f, 0.073730f, 0.079956f,
		0.086182f, 0.092773f, 0.100159f, 0.107727f, 0.115479f, 0.123962f, 0.132935f, 0.142578f, 0.151978f, 0.162476f, 0.173340f, 0.184570f,
		0.196411f, 0.208740f, 0.221436f, 0.235229f, 0.248779f, 0.262939f, 0.277832f, 0.293213f, 0.308105f, 0.324219f, 0.341309f, 0.357178f,
		0.374756f, 0.391846f, 0.409424f, 0.427490f, 0.446533f, 0.464844f, 0.483643f, 0.501953f, 0.521484f, 0.541504f, 0.561035f, 0.579590f,
		0.599609f, 0.620605f, 0.821289f, 0.830566f, 0.830078f, 0.828125f, 0.825684f, 0.823242f, 0.001367f, 0.004105f, 0.007023f, 0.009552f,
		0.012611f, 0.015289f, 0.018341f, 0.021652f, 0.024857f, 0.027878f, 0.031769f, 0.035614f, 0.039276f, 0.043610f, 0.047333f, 0.052155f,
		0.056549f, 0.061401f, 0.066895f, 0.072449f, 0.078613f, 0.084778f, 0.091309f, 0.098083f, 0.105774f, 0.113281f, 0.121399f, 0.130371f,
		0.139648f, 0.148926f, 0.159546f, 0.169922f, 0.180908f, 0.192749f, 0.204834f, 0.217651f, 0.231567f, 0.244385f, 0.259277f, 0.273926f,
		0.289307f, 0.304688f, 0.320557f, 0.336914f, 0.354248f, 0.371338f, 0.388184f, 0.406982f, 0.424316f, 0.443115f, 0.462646f, 0.481445f,
		0.501465f, 0.520508f, 0.541016f, 0.559570f, 0.580078f, 0.601074f, 0.812988f, 0.823242f, 0.823242f, 0.821289f, 0.819824f, 0.817383f,
		0.001398f, 0.003883f, 0.006351f, 0.008911f, 0.011559f, 0.014343f, 0.017212f, 0.020035f, 0.022797f, 0.026062f, 0.028793f, 0.031891f,
		0.035858f, 0.039368f, 0.043213f, 0.047607f, 0.051483f, 0.056030f, 0.060883f, 0.065979f, 0.071350f, 0.076843f, 0.083130f, 0.089172f,
		0.096069f, 0.103333f, 0.111023f, 0.119019f, 0.127319f, 0.136719f, 0.145996f, 0.156128f, 0.166138f, 0.177368f, 0.189453f, 0.201416f,
		0.213745f, 0.227295f, 0.240601f, 0.255371f, 0.269287f, 0.285400f, 0.301270f, 0.317139f, 0.333740f, 0.350586f, 0.367920f, 0.385986f,
		0.404297f, 0.422852f, 0.442383f, 0.460938f, 0.479980f, 0.500488f, 0.520508f, 0.541016f, 0.560547f, 0.582520f, 0.803711f, 0.814941f,
		0.815430f, 0.814453f, 0.812500f, 0.810547f, 0.001259f, 0.003464f, 0.006332f, 0.008286f, 0.010384f, 0.013000f, 0.015587f, 0.018234f,
		0.021027f, 0.023422f, 0.026566f, 0.029480f, 0.032379f, 0.035919f, 0.039215f, 0.043060f, 0.046997f, 0.050995f, 0.055267f, 0.059998f,
		0.065002f, 0.069946f, 0.075317f, 0.081299f, 0.087280f, 0.094116f, 0.101135f, 0.108276f, 0.116150f, 0.124695f, 0.133545f, 0.142700f,
		0.152222f, 0.162720f, 0.173950f, 0.185303f, 0.197754f, 0.210205f, 0.223022f, 0.237061f, 0.250732f, 0.265869f, 0.281250f, 0.297119f,
		0.313477f, 0.330322f, 0.347656f, 0.364746f, 0.383301f, 0.401367f, 0.420898f, 0.440186f, 0.459229f, 0.479736f, 0.499512f, 0.520996f,
		0.541016f, 0.562988f, 0.794434f, 0.807129f, 0.807617f, 0.807129f, 0.805176f, 0.803711f, 0.001070f, 0.003237f, 0.005432f, 0.007359f,
		0.009857f, 0.012337f, 0.014191f, 0.016586f, 0.019257f, 0.021561f, 0.024094f, 0.026901f, 0.029724f, 0.032745f, 0.035675f, 0.039368f,
		0.042572f, 0.045990f, 0.050354f, 0.054535f, 0.058746f, 0.063232f, 0.068420f, 0.073608f, 0.079529f, 0.085266f, 0.091370f, 0.098083f,
		0.105835f, 0.113159f, 0.121094f, 0.129639f, 0.139038f, 0.148926f, 0.159058f, 0.169678f, 0.181274f, 0.193481f, 0.205811f, 0.219482f,
		0.233032f, 0.247192f, 0.262207f, 0.277100f, 0.293213f, 0.309814f, 0.326660f, 0.344238f, 0.361816f, 0.380615f, 0.398926f, 0.418945f,
		0.438477f, 0.458008f, 0.479004f, 0.499512f, 0.520996f, 0.543945f, 0.784668f, 0.798828f, 0.800293f, 0.799805f, 0.797852f, 0.796875f,
		0.001074f, 0.002916f, 0.004955f, 0.007149f, 0.009033f, 0.011055f, 0.013268f, 0.015495f, 0.017365f, 0.019485f, 0.022095f, 0.024002f,
		0.026688f, 0.029633f, 0.032593f, 0.035370f, 0.038361f, 0.041870f, 0.045319f, 0.049225f, 0.052948f, 0.057068f, 0.061676f, 0.066345f,
		0.071167f, 0.076782f, 0.082581f, 0.088867f, 0.095886f, 0.102539f, 0.109802f, 0.118042f, 0.126709f, 0.135132f, 0.144897f, 0.155151f,
		0.165771f, 0.177368f, 0.189209f, 0.201904f, 0.215210f, 0.229370f, 0.242798f, 0.258057f, 0.274170f, 0.290039f, 0.306885f, 0.323242f,
		0.341309f, 0.359375f, 0.378418f, 0.397461f, 0.416260f, 0.437500f, 0.457031f, 0.479004f, 0.501465f, 0.522461f, 0.775391f, 0.790527f,
		0.791992f, 0.791504f, 0.791016f, 0.789551f, 0.000837f, 0.002916f, 0.004738f, 0.006477f, 0.008575f, 0.010170f, 0.012161f, 0.014023f,
		0.015808f, 0.017792f, 0.020111f, 0.022064f, 0.024414f, 0.026794f, 0.029251f, 0.032074f, 0.034698f, 0.037598f, 0.040741f, 0.043915f,
		0.047577f, 0.051361f, 0.055389f, 0.059692f, 0.064209f, 0.068787f, 0.074585f, 0.079712f, 0.085632f, 0.092346f, 0.099487f, 0.106323f,
		0.114929f, 0.122925f, 0.131958f, 0.141235f, 0.151123f, 0.161865f, 0.172974f, 0.184937f, 0.197632f, 0.210693f, 0.224854f, 0.239136f,
		0.254395f, 0.269531f, 0.285889f, 0.302979f, 0.320557f, 0.338623f, 0.356689f, 0.375977f, 0.395752f, 0.415527f, 0.436523f, 0.458252f,
		0.479248f, 0.501465f, 0.765137f, 0.781738f, 0.783691f, 0.784180f, 0.783203f, 0.781250f, 0.000854f, 0.002817f, 0.004089f, 0.005684f,
		0.007675f, 0.009277f, 0.010864f, 0.012413f, 0.014427f, 0.016235f, 0.017838f, 0.019913f, 0.021805f, 0.023987f, 0.026276f, 0.028915f,
		0.030960f, 0.033875f, 0.036652f, 0.039551f, 0.042816f, 0.045837f, 0.049591f, 0.053589f, 0.057526f, 0.061829f, 0.066650f, 0.071655f,
		0.077393f, 0.083008f, 0.088989f, 0.096008f, 0.103210f, 0.110657f, 0.119141f, 0.127930f, 0.137085f, 0.146973f, 0.157593f, 0.169312f,
		0.181274f, 0.193481f, 0.207031f, 0.220581f, 0.235229f, 0.250732f, 0.266357f, 0.282227f, 0.299805f, 0.317627f, 0.335449f, 0.354736f,
		0.374268f, 0.394531f, 0.415527f, 0.436279f, 0.458252f, 0.481689f, 0.754883f, 0.773438f, 0.775391f, 0.775879f, 0.774902f, 0.773926f,
		0.000852f, 0.002520f, 0.003937f, 0.005527f, 0.006836f, 0.008408f, 0.009773f, 0.011620f, 0.013039f, 0.014687f, 0.016327f, 0.017944f,
		0.019760f, 0.021774f, 0.023697f, 0.025894f, 0.027969f, 0.030121f, 0.032501f, 0.035370f, 0.038208f, 0.041046f, 0.044098f, 0.047791f,
		0.051453f, 0.055176f, 0.059570f, 0.064026f, 0.068787f, 0.074158f, 0.079834f, 0.085938f, 0.092590f, 0.099304f, 0.106873f, 0.114990f,
		0.124023f, 0.133301f, 0.143066f, 0.153687f, 0.164551f, 0.176392f, 0.189209f, 0.202637f, 0.216553f, 0.231323f, 0.246704f, 0.262451f,
		0.279297f, 0.296387f, 0.314697f, 0.333496f, 0.353516f, 0.373047f, 0.394775f, 0.415039f, 0.437500f, 0.460449f, 0.745117f, 0.763672f,
		0.766602f, 0.767090f, 0.767090f, 0.765625f, 0.000762f, 0.002342f, 0.003563f, 0.004787f, 0.006447f, 0.007648f, 0.009193f, 0.010353f,
		0.012016f, 0.013138f, 0.014557f, 0.016312f, 0.017929f, 0.019470f, 0.021103f, 0.023056f, 0.024918f, 0.026886f, 0.029099f, 0.031586f,
		0.034058f, 0.036499f, 0.039307f, 0.042450f, 0.045685f, 0.049072f, 0.052826f, 0.056915f, 0.061096f, 0.065918f, 0.070984f, 0.076538f,
		0.082520f, 0.088928f, 0.095520f, 0.102905f, 0.111206f, 0.119629f, 0.128662f, 0.138184f, 0.148682f, 0.160156f, 0.171997f, 0.184937f,
		0.198364f, 0.212524f, 0.227173f, 0.243042f, 0.259277f, 0.276611f, 0.294189f, 0.312500f, 0.331055f, 0.350830f, 0.372070f, 0.392334f,
		0.415771f, 0.438232f, 0.734375f, 0.754395f, 0.758789f, 0.758789f, 0.758789f, 0.757812f, 0.000848f, 0.002024f, 0.003553f, 0.004646f,
		0.005726f, 0.007050f, 0.008362f, 0.009438f, 0.010536f, 0.011810f, 0.013123f, 0.014481f, 0.015778f, 0.017242f, 0.018753f, 0.020447f,
		0.022278f, 0.023819f, 0.025940f, 0.027771f, 0.029999f, 0.032410f, 0.034851f, 0.037354f, 0.040375f, 0.043610f, 0.046631f, 0.050354f,
		0.054108f, 0.058563f, 0.062805f, 0.067871f, 0.073242f, 0.078796f, 0.085083f, 0.091797f, 0.098816f, 0.106689f, 0.115540f, 0.124207f,
		0.134155f, 0.144409f, 0.155762f, 0.167725f, 0.180664f, 0.193848f, 0.208618f, 0.223389f, 0.239746f, 0.256104f, 0.273438f, 0.291260f,
		0.310059f, 0.330078f, 0.349854f, 0.370850f, 0.393555f, 0.416992f, 0.724121f, 0.744629f, 0.748535f, 0.750000f, 0.749512f, 0.749512f,
		0.000736f, 0.001780f, 0.002937f, 0.004314f, 0.005211f, 0.006214f, 0.007423f, 0.008537f, 0.009392f, 0.010773f, 0.011726f, 0.012970f,
		0.014183f, 0.015373f, 0.016724f, 0.017990f, 0.019730f, 0.021194f, 0.022644f, 0.024368f, 0.026443f, 0.028610f, 0.030685f, 0.032898f,
		0.035583f, 0.038300f, 0.041351f, 0.044556f, 0.047638f, 0.051422f, 0.055359f, 0.059875f, 0.064392f, 0.069580f, 0.075195f, 0.080872f,
		0.087646f, 0.094849f, 0.102173f, 0.110596f, 0.119690f, 0.129761f, 0.139893f, 0.151367f, 0.163452f, 0.176147f, 0.190063f, 0.204590f,
		0.219238f, 0.235718f, 0.252441f, 0.270264f, 0.289062f, 0.307861f, 0.328613f, 0.350098f, 0.372314f, 0.395020f, 0.712402f, 0.734863f,
		0.739746f, 0.740723f, 0.740723f, 0.740234f, 0.000589f, 0.001616f, 0.002674f, 0.003841f, 0.004940f, 0.005676f, 0.006554f, 0.007442f,
		0.008812f, 0.009537f, 0.010277f, 0.011528f, 0.012634f, 0.013527f, 0.014671f, 0.016037f, 0.017136f, 0.018631f, 0.019943f, 0.021530f,
		0.023071f, 0.025146f, 0.026825f, 0.029037f, 0.030853f, 0.033447f, 0.035736f, 0.038849f, 0.041656f, 0.044922f, 0.048462f, 0.052277f,
		0.056519f, 0.061127f, 0.065796f, 0.071411f, 0.077148f, 0.083435f, 0.090393f, 0.097900f, 0.106079f, 0.115356f, 0.125122f, 0.135132f,
		0.146729f, 0.158936f, 0.171509f, 0.185059f, 0.200439f, 0.215576f, 0.232056f, 0.249756f, 0.267822f, 0.286621f, 0.306885f, 0.328125f,
		0.349854f, 0.373291f, 0.701172f, 0.725586f, 0.729980f, 0.730957f, 0.731934f, 0.730957f, 0.000547f, 0.001666f, 0.002367f, 0.003559f,
		0.004238f, 0.005028f, 0.005852f, 0.006859f, 0.007755f, 0.008530f, 0.009163f, 0.010056f, 0.010956f, 0.011978f, 0.013062f, 0.014076f,
		0.015053f, 0.016251f, 0.017471f, 0.018921f, 0.020233f, 0.021774f, 0.023315f, 0.025162f, 0.026871f, 0.029007f, 0.031204f, 0.033661f,
		0.036102f, 0.039062f, 0.042053f, 0.045380f, 0.048859f, 0.053040f, 0.057343f, 0.062225f, 0.067261f, 0.073120f, 0.079407f, 0.086243f,
		0.093567f, 0.101868f, 0.110596f, 0.120239f, 0.130859f, 0.141968f, 0.154053f, 0.167358f, 0.181274f, 0.196045f, 0.212158f, 0.229248f,
		0.247192f, 0.265381f, 0.285400f, 0.305664f, 0.327637f, 0.350586f, 0.689453f, 0.715820f, 0.720215f, 0.722168f, 0.722168f, 0.722168f,
		0.000492f, 0.001634f, 0.002342f, 0.003111f, 0.003866f, 0.004574f, 0.005417f, 0.005928f, 0.006588f, 0.007393f, 0.008041f, 0.008873f,
		0.009689f, 0.010391f, 0.011375f, 0.012146f, 0.013100f, 0.014183f, 0.015274f, 0.016479f, 0.017456f, 0.018768f, 0.020157f, 0.021606f,
		0.023300f, 0.024933f, 0.026855f, 0.028885f, 0.031143f, 0.033417f, 0.036133f, 0.039032f, 0.042236f, 0.045776f, 0.049713f, 0.053680f,
		0.058228f, 0.063232f, 0.069092f, 0.074829f, 0.081482f, 0.089050f, 0.096924f, 0.105591f, 0.115417f, 0.126221f, 0.137329f, 0.149658f,
		0.162964f, 0.176880f, 0.192505f, 0.208740f, 0.226318f, 0.244873f, 0.263428f, 0.283936f, 0.306396f, 0.329346f, 0.676270f, 0.705078f,
		0.709961f, 0.711914f, 0.712891f, 0.711914f, 0.000506f, 0.001342f, 0.002157f, 0.002813f, 0.003353f, 0.004105f, 0.004658f, 0.005344f,
		0.005871f, 0.006538f, 0.007050f, 0.007751f, 0.008247f, 0.009109f, 0.009865f, 0.010559f, 0.011269f, 0.012169f, 0.013290f, 0.014191f,
		0.015015f, 0.016312f, 0.017395f, 0.018570f, 0.019989f, 0.021439f, 0.023102f, 0.024536f, 0.026535f, 0.028702f, 0.030899f, 0.033356f,
		0.035980f, 0.039093f, 0.042328f, 0.046051f, 0.049927f, 0.054199f, 0.059052f, 0.064575f, 0.070496f, 0.076782f, 0.084412f, 0.092285f,
		0.100708f, 0.110779f, 0.121399f, 0.132690f, 0.145508f, 0.158813f, 0.173584f, 0.189453f, 0.205688f, 0.223755f, 0.242554f, 0.263184f,
		0.284180f, 0.306641f, 0.664551f, 0.693848f, 0.699707f, 0.702148f, 0.702637f, 0.703125f, 0.000500f, 0.001122f, 0.001810f, 0.002363f,
		0.002987f, 0.003576f, 0.004158f, 0.004620f, 0.005032f, 0.005627f, 0.006161f, 0.006721f, 0.007179f, 0.007790f, 0.008385f, 0.009163f,
		0.009758f, 0.010536f, 0.011284f, 0.011986f, 0.012878f, 0.013710f, 0.014725f, 0.015823f, 0.016937f, 0.018326f, 0.019547f, 0.020874f,
		0.022522f, 0.024399f, 0.026077f, 0.028427f, 0.030609f, 0.032990f, 0.035736f, 0.038788f, 0.042236f, 0.045990f, 0.050354f, 0.054901f,
		0.059967f, 0.065918f, 0.072205f, 0.079468f, 0.087219f, 0.096252f, 0.105713f, 0.116272f, 0.128174f, 0.140747f, 0.154419f, 0.169556f,
		0.186279f, 0.203125f, 0.221313f, 0.240601f, 0.261719f, 0.284424f, 0.652344f, 0.683105f, 0.688965f, 0.691406f, 0.692383f, 0.693359f,
		0.000482f, 0.001184f, 0.001604f, 0.002171f, 0.002562f, 0.003029f, 0.003656f, 0.003941f, 0.004410f, 0.004948f, 0.005325f, 0.005577f,
		0.006157f, 0.006702f, 0.007172f, 0.007751f, 0.008331f, 0.008904f, 0.009514f, 0.010063f, 0.010925f, 0.011719f, 0.012306f, 0.013321f,
		0.014275f, 0.015465f, 0.016510f, 0.017593f, 0.018845f, 0.020401f, 0.022095f, 0.023682f, 0.025513f, 0.027679f, 0.029968f, 0.032593f,
		0.035461f, 0.038757f, 0.042175f, 0.046326f, 0.050873f, 0.055939f, 0.061462f, 0.067444f, 0.074402f, 0.082520f, 0.091125f, 0.100830f,
		0.111572f, 0.123413f, 0.136719f, 0.150513f, 0.165894f, 0.182251f, 0.200684f, 0.219727f, 0.240234f, 0.261963f, 0.640137f, 0.671387f,
		0.679199f, 0.680664f, 0.682617f, 0.683105f, 0.000501f, 0.000919f, 0.001424f, 0.001853f, 0.002266f, 0.002789f, 0.002998f, 0.003397f,
		0.003902f, 0.004192f, 0.004417f, 0.004974f, 0.005207f, 0.005676f, 0.006134f, 0.006527f, 0.007179f, 0.007465f, 0.008018f, 0.008537f,
		0.009178f, 0.009888f, 0.010544f, 0.011093f, 0.011986f, 0.012794f, 0.013664f, 0.014717f, 0.015747f, 0.016983f, 0.018127f, 0.019470f,
		0.021103f, 0.022919f, 0.024826f, 0.026962f, 0.029358f, 0.031769f, 0.035065f, 0.038239f, 0.042297f, 0.046570f, 0.051422f, 0.056671f,
		0.062805f, 0.069763f, 0.077698f, 0.086182f, 0.095825f, 0.106812f, 0.119080f, 0.132568f, 0.147217f, 0.162598f, 0.180176f, 0.198730f,
		0.218628f, 0.241211f, 0.627441f, 0.660156f, 0.668457f, 0.669922f, 0.672363f, 0.671875f, 0.000235f, 0.001120f, 0.001356f, 0.001651f,
		0.002117f, 0.002441f, 0.002678f, 0.002993f, 0.003244f, 0.003519f, 0.003876f, 0.004086f, 0.004505f, 0.004787f, 0.005085f, 0.005604f,
		0.005985f, 0.006271f, 0.006783f, 0.007145f, 0.007679f, 0.008217f, 0.008728f, 0.009277f, 0.009956f, 0.010605f, 0.011490f, 0.012062f,
		0.013084f, 0.013962f, 0.014984f, 0.016113f, 0.017395f, 0.018829f, 0.020416f, 0.022125f, 0.023972f, 0.025955f, 0.028625f, 0.031616f,
		0.034515f, 0.038147f, 0.042114f, 0.046783f, 0.052094f, 0.058075f, 0.065002f, 0.072510f, 0.081604f, 0.091125f, 0.102539f, 0.114807f,
		0.128662f, 0.143921f, 0.160034f, 0.178467f, 0.198364f, 0.218750f, 0.613281f, 0.648926f, 0.657227f, 0.659668f, 0.661621f, 0.661621f,
		0.000382f, 0.000704f, 0.001099f, 0.001557f, 0.001774f, 0.001976f, 0.002132f, 0.002575f, 0.002634f, 0.002916f, 0.003103f, 0.003494f,
		0.003754f, 0.003956f, 0.004269f, 0.004684f, 0.004902f, 0.005234f, 0.005569f, 0.005890f, 0.006416f, 0.006786f, 0.007160f, 0.007645f,
		0.008118f, 0.008781f, 0.009346f, 0.010025f, 0.010658f, 0.011475f, 0.012230f, 0.013016f, 0.014122f, 0.015251f, 0.016342f, 0.017807f,
		0.019424f, 0.021103f, 0.023026f, 0.025436f, 0.027817f, 0.030914f, 0.034210f, 0.037750f, 0.042450f, 0.047455f, 0.053101f, 0.059998f,
		0.067688f, 0.076660f, 0.086670f, 0.097961f, 0.110779f, 0.125366f, 0.140747f, 0.158081f, 0.176880f, 0.197632f, 0.600098f, 0.637207f,
		0.644531f, 0.647949f, 0.649414f, 0.651855f, 0.000182f, 0.000738f, 0.000942f, 0.001220f, 0.001469f, 0.001634f, 0.001820f, 0.002005f,
		0.002291f, 0.002441f, 0.002636f, 0.002832f, 0.003019f, 0.003242f, 0.003502f, 0.003824f, 0.004017f, 0.004333f, 0.004570f, 0.004883f,
		0.005173f, 0.005615f, 0.005909f, 0.006317f, 0.006649f, 0.007160f, 0.007656f, 0.008156f, 0.008583f, 0.009209f, 0.009857f, 0.010696f,
		0.011322f, 0.012367f, 0.013229f, 0.014259f, 0.015686f, 0.016815f, 0.018402f, 0.020126f, 0.022095f, 0.024414f, 0.027176f, 0.030273f,
		0.033722f, 0.038086f, 0.042969f, 0.048645f, 0.055237f, 0.063171f, 0.071960f, 0.082031f, 0.093994f, 0.107300f, 0.122131f, 0.138550f,
		0.156494f, 0.177002f, 0.586426f, 0.625488f, 0.633789f, 0.637207f, 0.638672f, 0.639648f, 0.000199f, 0.000534f, 0.000745f, 0.000995f,
		0.001190f, 0.001387f, 0.001516f, 0.001691f, 0.001790f, 0.001941f, 0.002214f, 0.002346f, 0.002449f, 0.002686f, 0.002832f, 0.003042f,
		0.003304f, 0.003531f, 0.003662f, 0.003952f, 0.004181f, 0.004517f, 0.004704f, 0.005074f, 0.005352f, 0.005718f, 0.006096f, 0.006481f,
		0.006947f, 0.007454f, 0.007988f, 0.008484f, 0.009140f, 0.009804f, 0.010475f, 0.011307f, 0.012299f, 0.013268f, 0.014511f, 0.015823f,
		0.017410f, 0.018936f, 0.021225f, 0.023621f, 0.026367f, 0.029770f, 0.033661f, 0.038452f, 0.044067f, 0.050812f, 0.058411f, 0.067444f,
		0.077942f, 0.090149f, 0.104187f, 0.119812f, 0.137085f, 0.156372f, 0.572754f, 0.613770f, 0.621582f, 0.625977f, 0.627441f, 0.628906f,
		0.000165f, 0.000486f, 0.000618f, 0.000880f, 0.001063f, 0.001140f, 0.001258f, 0.001464f, 0.001498f, 0.001561f, 0.001707f, 0.001899f,
		0.001976f, 0.002171f, 0.002285f, 0.002474f, 0.002571f, 0.002764f, 0.002968f, 0.003170f, 0.003389f, 0.003580f, 0.003822f, 0.004036f,
		0.004269f, 0.004505f, 0.004738f, 0.005157f, 0.005474f, 0.005821f, 0.006279f, 0.006649f, 0.007107f, 0.007610f, 0.008240f, 0.008835f,
		0.009598f, 0.010361f, 0.011276f, 0.012299f, 0.013466f, 0.014740f, 0.016251f, 0.018021f, 0.020294f, 0.022797f, 0.025833f, 0.029739f,
		0.034058f, 0.039612f, 0.046021f, 0.053833f, 0.063110f, 0.074158f, 0.086914f, 0.101562f, 0.118164f, 0.136841f, 0.558594f, 0.601074f,
		0.608887f, 0.613281f, 0.615234f, 0.617188f, 0.000096f, 0.000348f, 0.000585f, 0.000707f, 0.000837f, 0.000866f, 0.000972f, 0.001095f,
		0.001198f, 0.001309f, 0.001355f, 0.001417f, 0.001615f, 0.001740f, 0.001863f, 0.001880f, 0.002048f, 0.002159f, 0.002380f, 0.002487f,
		0.002613f, 0.002777f, 0.003000f, 0.003143f, 0.003353f, 0.003521f, 0.003748f, 0.003963f, 0.004265f, 0.004490f, 0.004776f, 0.005093f,
		0.005577f, 0.005966f, 0.006321f, 0.006828f, 0.007320f, 0.007904f, 0.008575f, 0.009392f, 0.010231f, 0.011276f, 0.012321f, 0.013832f,
		0.015343f, 0.017242f, 0.019501f, 0.022247f, 0.025696f, 0.029922f, 0.035187f, 0.041779f, 0.049683f, 0.059387f, 0.070801f, 0.084106f,
		0.100037f, 0.117798f, 0.544434f, 0.588867f, 0.597656f, 0.602539f, 0.604492f, 0.605469f, 0.000123f, 0.000248f, 0.000443f, 0.000625f,
		0.000663f, 0.000733f, 0.000843f, 0.000780f, 0.000921f, 0.000986f, 0.001081f, 0.001178f, 0.001254f, 0.001348f, 0.001364f, 0.001515f,
		0.001565f, 0.001705f, 0.001824f, 0.001870f, 0.002066f, 0.002155f, 0.002274f, 0.002422f, 0.002525f, 0.002695f, 0.002863f, 0.003038f,
		0.003271f, 0.003441f, 0.003736f, 0.003901f, 0.004112f, 0.004478f, 0.004719f, 0.005093f, 0.005482f, 0.005913f, 0.006413f, 0.007019f,
		0.007626f, 0.008408f, 0.009201f, 0.010201f, 0.011436f, 0.012749f, 0.014389f, 0.016373f, 0.018906f, 0.022034f, 0.025909f, 0.031082f,
		0.037628f, 0.045715f, 0.055939f, 0.068176f, 0.082764f, 0.099365f, 0.529785f, 0.574707f, 0.584961f, 0.589844f, 0.591797f, 0.593750f,
		0.000210f, 0.000212f, 0.000365f, 0.000494f, 0.000438f, 0.000597f, 0.000538f, 0.000623f, 0.000638f, 0.000736f, 0.000866f, 0.000882f,
		0.000954f, 0.001040f, 0.001070f, 0.001086f, 0.001220f, 0.001274f, 0.001341f, 0.001457f, 0.001513f, 0.001598f, 0.001697f, 0.001781f,
		0.001898f, 0.001970f, 0.002131f, 0.002241f, 0.002401f, 0.002645f, 0.002783f, 0.002892f, 0.003120f, 0.003347f, 0.003508f, 0.003757f,
		0.004032f, 0.004314f, 0.004688f, 0.005066f, 0.005520f, 0.006012f, 0.006702f, 0.007332f, 0.008171f, 0.009140f, 0.010399f, 0.011787f,
		0.013496f, 0.015732f, 0.018509f, 0.022278f, 0.027267f, 0.033813f, 0.042328f, 0.053070f, 0.066406f, 0.082825f, 0.516602f, 0.562500f,
		0.573242f, 0.577637f, 0.580078f, 0.581543f, 0.000000f, 0.000216f, 0.000281f, 0.000346f, 0.000374f, 0.000388f, 0.000491f, 0.000416f,
		0.000516f, 0.000535f, 0.000635f, 0.000625f, 0.000681f, 0.000719f, 0.000790f, 0.000813f, 0.000879f, 0.000926f, 0.000968f, 0.001004f,
		0.001097f, 0.001135f, 0.001229f, 0.001300f, 0.001361f, 0.001431f, 0.001541f, 0.001610f, 0.001711f, 0.001802f, 0.001922f, 0.002094f,
		0.002169f, 0.002346f, 0.002468f, 0.002644f, 0.002844f, 0.003094f, 0.003368f, 0.003586f, 0.003883f, 0.004223f, 0.004662f, 0.005093f,
		0.005680f, 0.006348f, 0.007206f, 0.008202f, 0.009392f, 0.010895f, 0.012939f, 0.015465f, 0.018906f, 0.023682f, 0.030502f, 0.039825f,
		0.051331f, 0.066528f, 0.500977f, 0.548828f, 0.560059f, 0.564453f, 0.567871f, 0.569336f, 0.000000f, 0.000106f, 0.000201f, 0.000252f,
		0.000251f, 0.000322f, 0.000281f, 0.000340f, 0.000359f, 0.000428f, 0.000443f, 0.000419f, 0.000444f, 0.000500f, 0.000524f, 0.000590f,
		0.000574f, 0.000650f, 0.000693f, 0.000732f, 0.000778f, 0.000821f, 0.000848f, 0.000900f, 0.000965f, 0.000982f, 0.001072f, 0.001109f,
		0.001169f, 0.001307f, 0.001301f, 0.001409f, 0.001483f, 0.001610f, 0.001734f, 0.001835f, 0.001940f, 0.002098f, 0.002241f, 0.002426f,
		0.002634f, 0.002865f, 0.003136f, 0.003431f, 0.003763f, 0.004211f, 0.004742f, 0.005417f, 0.006229f, 0.007298f, 0.008621f, 0.010330f,
		0.012650f, 0.015808f, 0.020569f, 0.027908f, 0.037994f, 0.051514f, 0.485840f, 0.536133f, 0.547363f, 0.551758f, 0.554688f, 0.557617f,
		0.000026f, 0.000156f, 0.000201f, 0.000136f, 0.000188f, 0.000187f, 0.000192f, 0.000240f, 0.000245f, 0.000254f, 0.000262f, 0.000311f,
		0.000309f, 0.000331f, 0.000374f, 0.000385f, 0.000411f, 0.000431f, 0.000443f, 0.000461f, 0.000507f, 0.000522f, 0.000562f, 0.000596f,
		0.000634f, 0.000684f, 0.000718f, 0.000735f, 0.000776f, 0.000815f, 0.000875f, 0.000927f, 0.000982f, 0.001053f, 0.001123f, 0.001162f,
		0.001271f, 0.001346f, 0.001473f, 0.001577f, 0.001670f, 0.001838f, 0.002005f, 0.002161f, 0.002405f, 0.002670f, 0.002993f, 0.003399f,
		0.003860f, 0.004528f, 0.005386f, 0.006523f, 0.008003f, 0.010063f, 0.013206f, 0.017990f, 0.026031f, 0.038086f, 0.471191f, 0.522949f,
		0.534668f, 0.540039f, 0.543457f, 0.544922f, 0.000000f, 0.000093f, 0.000084f, 0.000085f, 0.000124f, 0.000145f, 0.000122f, 0.000149f,
		0.000152f, 0.000152f, 0.000158f, 0.000167f, 0.000186f, 0.000209f, 0.000217f, 0.000225f, 0.000231f, 0.000272f, 0.000273f, 0.000301f,
		0.000303f, 0.000310f, 0.000338f, 0.000361f, 0.000387f, 0.000423f, 0.000413f, 0.000436f, 0.000478f, 0.000503f, 0.000525f, 0.000570f,
		0.000608f, 0.000626f, 0.000677f, 0.000706f, 0.000753f, 0.000813f, 0.000884f, 0.000929f, 0.001000f, 0.001094f, 0.001183f, 0.001302f,
		0.001412f, 0.001563f, 0.001769f, 0.001974f, 0.002277f, 0.002626f, 0.003124f, 0.003761f, 0.004665f, 0.005993f, 0.007935f, 0.010818f,
		0.016205f, 0.026138f, 0.456299f, 0.509277f, 0.520996f, 0.527344f, 0.530762f, 0.532715f, 0.000105f, 0.000083f, 0.000072f, 0.000065f,
		0.000071f, 0.000072f, 0.000077f, 0.000084f, 0.000088f, 0.000093f, 0.000095f, 0.000120f, 0.000100f, 0.000108f, 0.000126f, 0.000118f,
		0.000139f, 0.000149f, 0.000153f, 0.000165f, 0.000169f, 0.000172f, 0.000194f, 0.000203f, 0.000233f, 0.000225f, 0.000233f, 0.000253f,
		0.000266f, 0.000275f, 0.000299f, 0.000319f, 0.000338f, 0.000345f, 0.000374f, 0.000384f, 0.000415f, 0.000448f, 0.000483f, 0.000511f,
		0.000543f, 0.000585f, 0.000647f, 0.000692f, 0.000755f, 0.000827f, 0.000924f, 0.001041f, 0.001186f, 0.001372f, 0.001608f, 0.001953f,
		0.002411f, 0.003098f, 0.004238f, 0.005989f, 0.009003f, 0.016006f, 0.441406f, 0.495361f, 0.508301f, 0.514160f, 0.518066f, 0.520508f,
		0.000090f, 0.000067f, 0.000058f, 0.000052f, 0.000047f, 0.000044f, 0.000044f, 0.000040f, 0.000042f, 0.000049f, 0.000042f, 0.000045f,
		0.000059f, 0.000047f, 0.000050f, 0.000054f, 0.000071f, 0.000073f, 0.000075f, 0.000078f, 0.000079f, 0.000084f, 0.000087f, 0.000090f,
		0.000097f, 0.000109f, 0.000108f, 0.000124f, 0.000124f, 0.000131f, 0.000138f, 0.000143f, 0.000155f, 0.000164f, 0.000178f, 0.000182f,
		0.000192f, 0.000209f, 0.000225f, 0.000244f, 0.000259f, 0.000274f, 0.000303f, 0.000321f, 0.000357f, 0.000385f, 0.000429f, 0.000470f,
		0.000537f, 0.000608f, 0.000710f, 0.000852f, 0.001052f, 0.001371f, 0.001877f, 0.002762f, 0.004406f, 0.008202f, 0.426270f, 0.483154f,
		0.495605f, 0.500977f, 0.505371f, 0.507324f, 0.000067f, 0.000047f, 0.000039f, 0.000035f, 0.000032f, 0.000030f, 0.000029f, 0.000027f,
		0.000026f, 0.000025f, 0.000024f, 0.000023f, 0.000021f, 0.000020f, 0.000019f, 0.000021f, 0.000020f, 0.000024f, 0.000028f, 0.000030f,
		0.000029f, 0.000032f, 0.000035f, 0.000034f, 0.000036f, 0.000044f, 0.000046f, 0.000040f, 0.000048f, 0.000047f, 0.000051f, 0.000053f,
		0.000059f, 0.000059f, 0.000064f, 0.000066f, 0.000077f, 0.000079f, 0.000081f, 0.000091f, 0.000094f, 0.000100f, 0.000108f, 0.000119f,
		0.000129f, 0.000137f, 0.000148f, 0.000173f, 0.000191f, 0.000210f, 0.000249f, 0.000292f, 0.000357f, 0.000448f, 0.000629f, 0.000943f,
		0.001630f, 0.003332f, 0.411377f, 0.468506f, 0.482910f, 0.488770f, 0.492188f, 0.495117f, 0.000025f, 0.000018f, 0.000015f, 0.000013f,
		0.000014f, 0.000013f, 0.000012f, 0.000012f, 0.000012f, 0.000012f, 0.000011f, 0.000011f, 0.000011f, 0.000011f, 0.000011f, 0.000011f,
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		0.774414f, 0.788086f, 0.893066f, 0.889648f, 0.882812f, 0.876953f, 0.870605f, 0.865723f, 0.003704f, 0.011169f, 0.019165f, 0.026550f,
		0.035339f, 0.043488f, 0.052277f, 0.061066f, 0.071045f, 0.080933f, 0.090576f, 0.101074f, 0.111877f, 0.122925f, 0.134277f, 0.146118f,
		0.157837f, 0.170288f, 0.183105f, 0.195557f, 0.209351f, 0.222900f, 0.236328f, 0.250732f, 0.264893f, 0.279297f, 0.294189f, 0.308838f,
		0.323975f, 0.339844f, 0.354736f, 0.370117f, 0.385986f, 0.401367f, 0.416504f, 0.432861f, 0.448486f, 0.463867f, 0.480469f, 0.497070f,
		0.511719f, 0.527832f, 0.544434f, 0.559570f, 0.575684f, 0.591797f, 0.606934f, 0.623047f, 0.638184f, 0.654297f, 0.668945f, 0.684570f,
		0.699219f, 0.714355f, 0.729492f, 0.744629f, 0.758789f, 0.773926f, 0.886230f, 0.883301f, 0.877441f, 0.871582f, 0.866211f, 0.860840f,
		0.003500f, 0.010292f, 0.017395f, 0.024963f, 0.032440f, 0.040344f, 0.048462f, 0.057098f, 0.065063f, 0.074646f, 0.083679f, 0.093445f,
		0.103882f, 0.114136f, 0.124451f, 0.135498f, 0.146606f, 0.158447f, 0.170410f, 0.182739f, 0.195435f, 0.208008f, 0.221558f, 0.234863f,
		0.248657f, 0.262695f, 0.276855f, 0.291748f, 0.306152f, 0.320801f, 0.335693f, 0.350830f, 0.365967f, 0.382080f, 0.396973f, 0.413330f,
		0.429199f, 0.444336f, 0.459473f, 0.476074f, 0.492188f, 0.507812f, 0.524414f, 0.540039f, 0.555664f, 0.571777f, 0.586914f, 0.604004f,
		0.619629f, 0.635742f, 0.650391f, 0.666504f, 0.682129f, 0.697754f, 0.712891f, 0.728027f, 0.743164f, 0.758301f, 0.878906f, 0.877441f,
		0.871582f, 0.866699f, 0.860840f, 0.856445f, 0.003084f, 0.009697f, 0.016403f, 0.022659f, 0.029892f, 0.037354f, 0.044281f, 0.052338f,
		0.060516f, 0.068970f, 0.077515f, 0.086243f, 0.096069f, 0.105713f, 0.115356f, 0.125610f, 0.136353f, 0.147339f, 0.158081f, 0.170410f,
		0.181396f, 0.194458f, 0.207275f, 0.219482f, 0.232910f, 0.246704f, 0.260010f, 0.274170f, 0.288330f, 0.302979f, 0.317383f, 0.332764f,
		0.347656f, 0.363037f, 0.378174f, 0.392578f, 0.408936f, 0.424316f, 0.440430f, 0.456299f, 0.472656f, 0.488525f, 0.503906f, 0.519531f,
		0.535645f, 0.552734f, 0.568359f, 0.584961f, 0.600586f, 0.616699f, 0.633301f, 0.648438f, 0.663574f, 0.679199f, 0.694824f, 0.710938f,
		0.726074f, 0.742188f, 0.872559f, 0.870605f, 0.865723f, 0.860840f, 0.855957f, 0.851074f, 0.002913f, 0.008781f, 0.014938f, 0.021759f,
		0.027878f, 0.034393f, 0.041412f, 0.048737f, 0.055969f, 0.063599f, 0.072021f, 0.080200f, 0.088928f, 0.097839f, 0.106934f, 0.116150f,
		0.126587f, 0.136353f, 0.147095f, 0.157715f, 0.169189f, 0.181519f, 0.193481f, 0.205933f, 0.217773f, 0.231323f, 0.244629f, 0.257812f,
		0.271240f, 0.285400f, 0.299561f, 0.314453f, 0.329590f, 0.343506f, 0.358887f, 0.373779f, 0.389648f, 0.405029f, 0.420410f, 0.437012f,
		0.452393f, 0.468262f, 0.484375f, 0.500000f, 0.516113f, 0.532227f, 0.548828f, 0.564941f, 0.581055f, 0.597168f, 0.612793f, 0.629883f,
		0.645508f, 0.662109f, 0.678223f, 0.694336f, 0.709473f, 0.726074f, 0.863770f, 0.864258f, 0.859863f, 0.854980f, 0.850586f, 0.846191f,
		0.002815f, 0.008194f, 0.013954f, 0.019653f, 0.025696f, 0.031982f, 0.038177f, 0.044830f, 0.051819f, 0.058502f, 0.066162f, 0.073792f,
		0.082031f, 0.090393f, 0.098999f, 0.107605f, 0.117493f, 0.126709f, 0.137207f, 0.146729f, 0.157593f, 0.168579f, 0.179810f, 0.191772f,
		0.203369f, 0.215820f, 0.228882f, 0.241455f, 0.254395f, 0.268311f, 0.282227f, 0.296631f, 0.310303f, 0.325439f, 0.339844f, 0.354736f,
		0.370361f, 0.385742f, 0.400879f, 0.416504f, 0.432617f, 0.448486f, 0.464355f, 0.479980f, 0.496094f, 0.513184f, 0.528809f, 0.545410f,
		0.561035f, 0.578613f, 0.594727f, 0.611328f, 0.626953f, 0.643555f, 0.660156f, 0.676270f, 0.693359f, 0.709473f, 0.856445f, 0.858398f,
		0.854492f, 0.849121f, 0.845215f, 0.841309f, 0.002583f, 0.007492f, 0.012878f, 0.018417f, 0.023941f, 0.029495f, 0.035339f, 0.041779f,
		0.047577f, 0.054047f, 0.061523f, 0.068787f, 0.075562f, 0.083313f, 0.091858f, 0.099792f, 0.108521f, 0.117615f, 0.126709f, 0.136108f,
		0.146851f, 0.156860f, 0.166992f, 0.178345f, 0.189819f, 0.202148f, 0.213623f, 0.225830f, 0.238892f, 0.252197f, 0.265137f, 0.278809f,
		0.292480f, 0.306885f, 0.321045f, 0.336914f, 0.350830f, 0.366943f, 0.381348f, 0.396240f, 0.412354f, 0.428223f, 0.444336f, 0.460449f,
		0.476318f, 0.493408f, 0.509277f, 0.525879f, 0.542480f, 0.559082f, 0.574707f, 0.591797f, 0.608398f, 0.625488f, 0.642090f, 0.659180f,
		0.675781f, 0.691406f, 0.848145f, 0.851562f, 0.848145f, 0.843750f, 0.838867f, 0.835449f, 0.002512f, 0.007374f, 0.012115f, 0.016983f,
		0.022064f, 0.027359f, 0.032715f, 0.038147f, 0.044373f, 0.050354f, 0.056641f, 0.063293f, 0.070190f, 0.077026f, 0.084717f, 0.092041f,
		0.100342f, 0.108398f, 0.117554f, 0.126221f, 0.135742f, 0.145142f, 0.155151f, 0.165771f, 0.176758f, 0.187988f, 0.199341f, 0.210815f,
		0.223389f, 0.236206f, 0.249023f, 0.261719f, 0.275879f, 0.289062f, 0.303467f, 0.317627f, 0.332520f, 0.347412f, 0.361816f, 0.377197f,
		0.393066f, 0.407959f, 0.424072f, 0.440186f, 0.457031f, 0.473145f, 0.489502f, 0.505859f, 0.522461f, 0.540039f, 0.555664f, 0.572754f,
		0.589844f, 0.606445f, 0.623535f, 0.640625f, 0.658203f, 0.675781f, 0.840820f, 0.843750f, 0.841309f, 0.836914f, 0.833984f, 0.830566f,
		0.002369f, 0.006668f, 0.011093f, 0.015778f, 0.020523f, 0.025223f, 0.030701f, 0.035339f, 0.040710f, 0.046600f, 0.051971f, 0.058075f,
		0.064819f, 0.071228f, 0.077942f, 0.085205f, 0.092224f, 0.100464f, 0.108398f, 0.116882f, 0.125610f, 0.134155f, 0.143555f, 0.153564f,
		0.164062f, 0.174316f, 0.185303f, 0.196899f, 0.208496f, 0.220093f, 0.232666f, 0.245239f, 0.258057f, 0.271729f, 0.285645f, 0.299561f,
		0.313721f, 0.328613f, 0.342773f, 0.358154f, 0.373535f, 0.388916f, 0.405518f, 0.419922f, 0.437012f, 0.453125f, 0.469238f, 0.486328f,
		0.502930f, 0.519531f, 0.536133f, 0.553223f, 0.571289f, 0.588379f, 0.605469f, 0.623047f, 0.640137f, 0.656250f, 0.833008f, 0.837402f,
		0.834473f, 0.831055f, 0.827637f, 0.824219f, 0.002188f, 0.006027f, 0.010582f, 0.014297f, 0.018921f, 0.023270f, 0.028183f, 0.032593f,
		0.037781f, 0.042999f, 0.048584f, 0.053650f, 0.059601f, 0.065369f, 0.071899f, 0.078369f, 0.085449f, 0.092407f, 0.099609f, 0.107788f,
		0.115601f, 0.124451f, 0.133301f, 0.142212f, 0.151978f, 0.161865f, 0.172363f, 0.182617f, 0.193970f, 0.205566f, 0.217407f, 0.229858f,
		0.241943f, 0.254639f, 0.268311f, 0.281494f, 0.295654f, 0.310059f, 0.324219f, 0.339600f, 0.353760f, 0.369629f, 0.385010f, 0.400879f,
		0.417725f, 0.433594f, 0.449219f, 0.465820f, 0.482910f, 0.499512f, 0.517090f, 0.534180f, 0.551270f, 0.568848f, 0.586426f, 0.604004f,
		0.622559f, 0.639160f, 0.824219f, 0.830078f, 0.827637f, 0.824707f, 0.821777f, 0.818359f, 0.002098f, 0.005634f, 0.009354f, 0.013557f,
		0.017685f, 0.021576f, 0.025604f, 0.030380f, 0.034943f, 0.039429f, 0.044281f, 0.049255f, 0.055023f, 0.060577f, 0.066101f, 0.072144f,
		0.078491f, 0.085083f, 0.091858f, 0.098999f, 0.106873f, 0.114502f, 0.122498f, 0.131592f, 0.140137f, 0.149536f, 0.159424f, 0.169556f,
		0.180054f, 0.191162f, 0.202026f, 0.213989f, 0.226318f, 0.239136f, 0.250977f, 0.264648f, 0.278320f, 0.291748f, 0.305908f, 0.320557f,
		0.334961f, 0.350342f, 0.365479f, 0.381592f, 0.397461f, 0.413818f, 0.429199f, 0.446289f, 0.462891f, 0.479736f, 0.496338f, 0.514160f,
		0.530762f, 0.548828f, 0.566406f, 0.584473f, 0.602539f, 0.621582f, 0.815918f, 0.823730f, 0.821289f, 0.817871f, 0.815430f, 0.812500f,
		0.001772f, 0.005249f, 0.008995f, 0.012260f, 0.016251f, 0.020020f, 0.024216f, 0.027603f, 0.032196f, 0.036377f, 0.041199f, 0.045410f,
		0.050110f, 0.055603f, 0.061005f, 0.066406f, 0.072327f, 0.077820f, 0.084290f, 0.090942f, 0.098083f, 0.105164f, 0.113037f, 0.120789f,
		0.129272f, 0.138062f, 0.147339f, 0.156982f, 0.166626f, 0.176758f, 0.187866f, 0.199097f, 0.210449f, 0.222412f, 0.234985f, 0.247559f,
		0.260742f, 0.273682f, 0.287598f, 0.302002f, 0.316650f, 0.331299f, 0.346191f, 0.362061f, 0.377686f, 0.393066f, 0.409668f, 0.426514f,
		0.443115f, 0.459717f, 0.476807f, 0.494629f, 0.511230f, 0.529785f, 0.547852f, 0.565430f, 0.583984f, 0.602539f, 0.806152f, 0.814453f,
		0.813965f, 0.811035f, 0.809082f, 0.806641f, 0.001631f, 0.005131f, 0.008186f, 0.011673f, 0.014938f, 0.018463f, 0.021957f, 0.025635f,
		0.029083f, 0.033325f, 0.037445f, 0.041840f, 0.046478f, 0.050751f, 0.055634f, 0.060760f, 0.065979f, 0.071472f, 0.077515f, 0.083801f,
		0.090027f, 0.096802f, 0.104065f, 0.110840f, 0.119080f, 0.127197f, 0.135498f, 0.144775f, 0.153931f, 0.163574f, 0.173462f, 0.184570f,
		0.195312f, 0.207153f, 0.218506f, 0.230591f, 0.243652f, 0.256348f, 0.270020f, 0.283691f, 0.297852f, 0.312744f, 0.326904f, 0.342529f,
		0.357910f, 0.373535f, 0.389404f, 0.406494f, 0.421875f, 0.439941f, 0.457275f, 0.474365f, 0.492432f, 0.509766f, 0.527832f, 0.546875f,
		0.564941f, 0.584473f, 0.797852f, 0.807129f, 0.807129f, 0.804199f, 0.801758f, 0.799316f, 0.001632f, 0.004704f, 0.007912f, 0.010788f,
		0.013870f, 0.017105f, 0.020187f, 0.023483f, 0.026932f, 0.030563f, 0.034332f, 0.038086f, 0.042694f, 0.046631f, 0.050995f, 0.055725f,
		0.060486f, 0.065674f, 0.070862f, 0.076721f, 0.082825f, 0.088623f, 0.094910f, 0.102112f, 0.109070f, 0.116516f, 0.124695f, 0.133057f,
		0.141968f, 0.151001f, 0.160522f, 0.170776f, 0.181030f, 0.191650f, 0.202881f, 0.214722f, 0.227417f, 0.239624f, 0.252686f, 0.265625f,
		0.279785f, 0.293213f, 0.308350f, 0.323242f, 0.338867f, 0.354248f, 0.370117f, 0.386475f, 0.403076f, 0.420410f, 0.437012f, 0.454102f,
		0.471924f, 0.490234f, 0.508789f, 0.526855f, 0.545410f, 0.564453f, 0.788086f, 0.799316f, 0.798828f, 0.797852f, 0.794434f, 0.791992f,
		0.001594f, 0.004177f, 0.007122f, 0.010201f, 0.012344f, 0.015839f, 0.018372f, 0.021683f, 0.024857f, 0.028534f, 0.031464f, 0.035034f,
		0.038879f, 0.042572f, 0.046295f, 0.051056f, 0.055389f, 0.059723f, 0.064697f, 0.069763f, 0.075073f, 0.080750f, 0.087219f, 0.093445f,
		0.099548f, 0.107056f, 0.114136f, 0.121887f, 0.130249f, 0.138794f, 0.147217f, 0.157104f, 0.166748f, 0.177124f, 0.187988f, 0.199097f,
		0.210693f, 0.222778f, 0.235352f, 0.248169f, 0.261719f, 0.275635f, 0.289062f, 0.303955f, 0.319336f, 0.334717f, 0.350098f, 0.365479f,
		0.382324f, 0.398926f, 0.416016f, 0.433594f, 0.451904f, 0.469238f, 0.487549f, 0.506348f, 0.525391f, 0.544922f, 0.779297f, 0.791504f,
		0.791504f, 0.789551f, 0.788086f, 0.786133f, 0.001365f, 0.004173f, 0.006222f, 0.008842f, 0.011703f, 0.014366f, 0.017242f, 0.020218f,
		0.022903f, 0.025787f, 0.028824f, 0.032227f, 0.035522f, 0.038818f, 0.042511f, 0.046326f, 0.050507f, 0.054657f, 0.058594f, 0.063660f,
		0.068359f, 0.073914f, 0.078918f, 0.085083f, 0.091125f, 0.097534f, 0.104126f, 0.111511f, 0.118896f, 0.126831f, 0.135742f, 0.144043f,
		0.153564f, 0.163330f, 0.173462f, 0.184082f, 0.195068f, 0.206787f, 0.218628f, 0.231079f, 0.243896f, 0.257080f, 0.270996f, 0.285645f,
		0.300049f, 0.314941f, 0.330322f, 0.346191f, 0.362305f, 0.379395f, 0.395508f, 0.412842f, 0.431641f, 0.448975f, 0.468262f, 0.487549f,
		0.505371f, 0.525391f, 0.769531f, 0.783691f, 0.783691f, 0.782715f, 0.781250f, 0.778809f, 0.001230f, 0.003925f, 0.006268f, 0.008659f,
		0.010796f, 0.013145f, 0.015617f, 0.018234f, 0.021133f, 0.023682f, 0.026215f, 0.029251f, 0.032349f, 0.035400f, 0.038696f, 0.042206f,
		0.045807f, 0.049377f, 0.053925f, 0.057953f, 0.062500f, 0.067078f, 0.071777f, 0.077271f, 0.082703f, 0.088806f, 0.094910f, 0.101379f,
		0.109192f, 0.115967f, 0.123779f, 0.131470f, 0.140259f, 0.149536f, 0.159302f, 0.169312f, 0.180054f, 0.190674f, 0.202515f, 0.214722f,
		0.226562f, 0.239624f, 0.253174f, 0.266602f, 0.281738f, 0.295898f, 0.311035f, 0.326904f, 0.342529f, 0.359131f, 0.375732f, 0.393066f,
		0.410400f, 0.428467f, 0.447510f, 0.466064f, 0.485596f, 0.504883f, 0.759277f, 0.774902f, 0.775879f, 0.774902f, 0.773438f, 0.771973f,
		0.001031f, 0.003601f, 0.005604f, 0.007858f, 0.009880f, 0.012146f, 0.014549f, 0.016998f, 0.019043f, 0.021362f, 0.024475f, 0.026566f,
		0.029358f, 0.032196f, 0.035248f, 0.038391f, 0.041656f, 0.045044f, 0.048553f, 0.052582f, 0.056213f, 0.060669f, 0.065186f, 0.070068f,
		0.074768f, 0.080322f, 0.086060f, 0.092102f, 0.098877f, 0.105408f, 0.112366f, 0.120239f, 0.128540f, 0.136597f, 0.145874f, 0.155396f,
		0.165283f, 0.175537f, 0.186401f, 0.198120f, 0.210083f, 0.222534f, 0.235229f, 0.248657f, 0.262451f, 0.277344f, 0.291504f, 0.307617f,
		0.322998f, 0.339111f, 0.354980f, 0.372559f, 0.390625f, 0.408936f, 0.426758f, 0.445312f, 0.466064f, 0.485840f, 0.749512f, 0.765137f,
		0.767578f, 0.767090f, 0.765137f, 0.764648f, 0.001161f, 0.003078f, 0.005310f, 0.007282f, 0.009201f, 0.011330f, 0.013214f, 0.015404f,
		0.017273f, 0.019409f, 0.021988f, 0.024078f, 0.026550f, 0.029358f, 0.032043f, 0.034454f, 0.037415f, 0.040710f, 0.043854f, 0.047272f,
		0.050659f, 0.054840f, 0.058777f, 0.063293f, 0.067566f, 0.072449f, 0.077759f, 0.083069f, 0.088928f, 0.095886f, 0.102478f, 0.109070f,
		0.116760f, 0.124390f, 0.132935f, 0.141479f, 0.151123f, 0.161011f, 0.171143f, 0.182007f, 0.193726f, 0.205688f, 0.218018f, 0.230835f,
		0.244507f, 0.258789f, 0.272949f, 0.287109f, 0.303467f, 0.319336f, 0.335449f, 0.352539f, 0.369873f, 0.387939f, 0.406250f, 0.425049f,
		0.444824f, 0.464844f, 0.739258f, 0.756348f, 0.758789f, 0.758789f, 0.757324f, 0.756836f, 0.001004f, 0.002939f, 0.005005f, 0.006779f,
		0.008453f, 0.010323f, 0.012177f, 0.013870f, 0.016052f, 0.018051f, 0.019638f, 0.022141f, 0.023956f, 0.026413f, 0.028870f, 0.031281f,
		0.033661f, 0.036591f, 0.039429f, 0.042542f, 0.045776f, 0.049011f, 0.053009f, 0.056885f, 0.061035f, 0.065186f, 0.069885f, 0.075134f,
		0.080505f, 0.085999f, 0.091858f, 0.098633f, 0.105591f, 0.112732f, 0.120667f, 0.128662f, 0.137573f, 0.146729f, 0.156372f, 0.166748f,
		0.177490f, 0.189331f, 0.201294f, 0.213501f, 0.226807f, 0.239746f, 0.254150f, 0.268555f, 0.283936f, 0.298828f, 0.316162f, 0.332275f,
		0.349609f, 0.367432f, 0.385498f, 0.404053f, 0.423828f, 0.443848f, 0.728516f, 0.747559f, 0.750488f, 0.750488f, 0.749512f, 0.748047f,
		0.000970f, 0.002523f, 0.004665f, 0.006203f, 0.007759f, 0.009491f, 0.011070f, 0.012802f, 0.014336f, 0.016266f, 0.017944f, 0.019852f,
		0.021805f, 0.023911f, 0.025818f, 0.028137f, 0.030579f, 0.032837f, 0.035248f, 0.038055f, 0.041046f, 0.044189f, 0.047333f, 0.050842f,
		0.054504f, 0.058502f, 0.062866f, 0.067383f, 0.071960f, 0.077393f, 0.082642f, 0.088928f, 0.095093f, 0.101685f, 0.108765f, 0.116272f,
		0.124451f, 0.133423f, 0.142212f, 0.152100f, 0.162354f, 0.172729f, 0.184692f, 0.196411f, 0.209106f, 0.221802f, 0.235718f, 0.250000f,
		0.265137f, 0.280029f, 0.296143f, 0.312012f, 0.329346f, 0.346924f, 0.364990f, 0.384277f, 0.403564f, 0.423340f, 0.718262f, 0.738770f,
		0.741211f, 0.742188f, 0.741211f, 0.740234f, 0.000785f, 0.002600f, 0.004028f, 0.005390f, 0.007275f, 0.008774f, 0.010124f, 0.011620f,
		0.013306f, 0.014427f, 0.015991f, 0.017838f, 0.019577f, 0.021469f, 0.023254f, 0.024902f, 0.027115f, 0.029190f, 0.031677f, 0.034088f,
		0.036682f, 0.039307f, 0.042175f, 0.045410f, 0.048553f, 0.052002f, 0.055908f, 0.060028f, 0.064270f, 0.068909f, 0.074097f, 0.079163f,
		0.085022f, 0.091309f, 0.097473f, 0.104797f, 0.112183f, 0.120239f, 0.128662f, 0.137451f, 0.146973f, 0.157471f, 0.168213f, 0.179810f,
		0.191650f, 0.204468f, 0.217529f, 0.231201f, 0.245605f, 0.260254f, 0.275879f, 0.292236f, 0.308838f, 0.326416f, 0.344238f, 0.363037f,
		0.382080f, 0.403076f, 0.707031f, 0.729980f, 0.732422f, 0.733398f, 0.733398f, 0.732910f, 0.000775f, 0.002190f, 0.003696f, 0.005081f,
		0.006397f, 0.007858f, 0.009239f, 0.010323f, 0.011803f, 0.012978f, 0.014328f, 0.015915f, 0.017349f, 0.019058f, 0.020630f, 0.022339f,
		0.024445f, 0.025909f, 0.028275f, 0.030151f, 0.032532f, 0.035065f, 0.037476f, 0.040283f, 0.042969f, 0.046448f, 0.049469f, 0.053314f,
		0.056976f, 0.061371f, 0.065613f, 0.070435f, 0.075623f, 0.081360f, 0.087341f, 0.093628f, 0.100220f, 0.107788f, 0.115845f, 0.123901f,
		0.133057f, 0.142456f, 0.152832f, 0.163574f, 0.174561f, 0.187012f, 0.199463f, 0.212646f, 0.226562f, 0.241455f, 0.256836f, 0.272705f,
		0.288818f, 0.305664f, 0.323486f, 0.341797f, 0.362305f, 0.382080f, 0.695312f, 0.719238f, 0.722656f, 0.724121f, 0.724121f, 0.723633f,
		0.000906f, 0.002022f, 0.003521f, 0.004963f, 0.005756f, 0.006847f, 0.008446f, 0.009392f, 0.010437f, 0.012039f, 0.012863f, 0.014343f,
		0.015457f, 0.016876f, 0.018295f, 0.019730f, 0.021484f, 0.023102f, 0.024689f, 0.026581f, 0.028717f, 0.030945f, 0.032928f, 0.035370f,
		0.037872f, 0.040894f, 0.043915f, 0.047028f, 0.050415f, 0.054169f, 0.058167f, 0.062286f, 0.067078f, 0.071960f, 0.077209f, 0.082947f,
		0.089417f, 0.096008f, 0.103271f, 0.110718f, 0.119324f, 0.128052f, 0.137817f, 0.147705f, 0.158691f, 0.169922f, 0.181519f, 0.195435f,
		0.208496f, 0.222534f, 0.237305f, 0.252441f, 0.268799f, 0.285645f, 0.302979f, 0.322266f, 0.340332f, 0.360840f, 0.683594f, 0.708984f,
		0.714355f, 0.715332f, 0.715820f, 0.715332f, 0.000700f, 0.002043f, 0.003139f, 0.004219f, 0.005417f, 0.006477f, 0.007442f, 0.008415f,
		0.009499f, 0.010475f, 0.011497f, 0.012619f, 0.013824f, 0.014969f, 0.016190f, 0.017639f, 0.018799f, 0.020386f, 0.021896f, 0.023560f,
		0.025131f, 0.027176f, 0.028900f, 0.031067f, 0.033295f, 0.035919f, 0.038239f, 0.041229f, 0.044373f, 0.047394f, 0.050934f, 0.054871f,
		0.058838f, 0.063293f, 0.068115f, 0.073303f, 0.078857f, 0.084839f, 0.091309f, 0.098328f, 0.106079f, 0.114136f, 0.123230f, 0.132690f,
		0.143066f, 0.153442f, 0.165161f, 0.177368f, 0.190186f, 0.203979f, 0.218262f, 0.232910f, 0.248901f, 0.265381f, 0.282227f, 0.301025f,
		0.319580f, 0.339355f, 0.672852f, 0.699707f, 0.704590f, 0.706055f, 0.706543f, 0.706055f, 0.000762f, 0.001804f, 0.002762f, 0.003914f,
		0.004791f, 0.005764f, 0.006542f, 0.007622f, 0.008606f, 0.009232f, 0.010178f, 0.011093f, 0.012108f, 0.013191f, 0.014412f, 0.015289f,
		0.016510f, 0.017731f, 0.019119f, 0.020615f, 0.022049f, 0.023483f, 0.025345f, 0.027100f, 0.028885f, 0.031067f, 0.033417f, 0.035797f,
		0.038422f, 0.041382f, 0.044495f, 0.047638f, 0.051178f, 0.055267f, 0.059387f, 0.064026f, 0.069092f, 0.074585f, 0.080566f, 0.087097f,
		0.093811f, 0.101624f, 0.109619f, 0.117798f, 0.127319f, 0.137817f, 0.148682f, 0.160278f, 0.172607f, 0.185669f, 0.199097f, 0.214233f,
		0.229492f, 0.245850f, 0.261963f, 0.280273f, 0.299316f, 0.319580f, 0.660645f, 0.689453f, 0.694824f, 0.696777f, 0.697266f, 0.697266f,
		0.000499f, 0.001527f, 0.002565f, 0.003622f, 0.004429f, 0.005138f, 0.005955f, 0.006691f, 0.007317f, 0.008156f, 0.008949f, 0.009903f,
		0.010635f, 0.011452f, 0.012512f, 0.013451f, 0.014503f, 0.015610f, 0.016632f, 0.017746f, 0.019073f, 0.020355f, 0.021957f, 0.023453f,
		0.025208f, 0.026932f, 0.028732f, 0.030945f, 0.033142f, 0.035614f, 0.038300f, 0.041199f, 0.044464f, 0.047760f, 0.051514f, 0.055573f,
		0.059998f, 0.064819f, 0.070312f, 0.075867f, 0.082275f, 0.088806f, 0.096436f, 0.104797f, 0.113342f, 0.122559f, 0.132568f, 0.143799f,
		0.155396f, 0.167725f, 0.181274f, 0.195068f, 0.209961f, 0.225708f, 0.242310f, 0.259766f, 0.277832f, 0.297363f, 0.648926f, 0.678711f,
		0.685059f, 0.687500f, 0.687500f, 0.687988f, 0.000653f, 0.001627f, 0.002562f, 0.003166f, 0.003872f, 0.004562f, 0.005287f, 0.005905f,
		0.006557f, 0.007309f, 0.007835f, 0.008621f, 0.009140f, 0.010109f, 0.010773f, 0.011627f, 0.012428f, 0.013351f, 0.014488f, 0.015472f,
		0.016479f, 0.017578f, 0.018845f, 0.020157f, 0.021591f, 0.023132f, 0.024765f, 0.026337f, 0.028473f, 0.030594f, 0.032867f, 0.035309f,
		0.037933f, 0.041107f, 0.044403f, 0.047852f, 0.051666f, 0.055756f, 0.060455f, 0.065552f, 0.070740f, 0.077454f, 0.083862f, 0.091125f,
		0.099304f, 0.107971f, 0.117859f, 0.127808f, 0.139038f, 0.150757f, 0.163574f, 0.176880f, 0.191162f, 0.206665f, 0.222656f, 0.239258f,
		0.257568f, 0.277100f, 0.636230f, 0.667969f, 0.675293f, 0.677734f, 0.678223f, 0.678711f, 0.000393f, 0.001375f, 0.002174f, 0.002773f,
		0.003334f, 0.004070f, 0.004692f, 0.005047f, 0.005672f, 0.006298f, 0.006893f, 0.007454f, 0.007957f, 0.008636f, 0.009171f, 0.010002f,
		0.010674f, 0.011574f, 0.012451f, 0.013145f, 0.014091f, 0.014893f, 0.016083f, 0.017151f, 0.018402f, 0.019714f, 0.021042f, 0.022415f,
		0.024155f, 0.026108f, 0.027786f, 0.030212f, 0.032379f, 0.034698f, 0.037415f, 0.040436f, 0.043793f, 0.047455f, 0.051727f, 0.056030f,
		0.061218f, 0.066284f, 0.072571f, 0.079041f, 0.086121f, 0.094299f, 0.102844f, 0.112305f, 0.122925f, 0.134033f, 0.145752f, 0.158569f,
		0.172729f, 0.187378f, 0.203003f, 0.219238f, 0.237671f, 0.255859f, 0.624023f, 0.657227f, 0.664062f, 0.666992f, 0.668457f, 0.668457f,
		0.000379f, 0.001404f, 0.001893f, 0.002403f, 0.002840f, 0.003458f, 0.004021f, 0.004459f, 0.004894f, 0.005527f, 0.005844f, 0.006256f,
		0.006866f, 0.007423f, 0.007957f, 0.008476f, 0.009155f, 0.009735f, 0.010422f, 0.011078f, 0.011925f, 0.012787f, 0.013458f, 0.014526f,
		0.015541f, 0.016632f, 0.017838f, 0.019028f, 0.020248f, 0.021851f, 0.023514f, 0.024979f, 0.027054f, 0.029236f, 0.031555f, 0.034180f,
		0.036713f, 0.040375f, 0.043854f, 0.047607f, 0.051727f, 0.056549f, 0.061768f, 0.067627f, 0.073792f, 0.081116f, 0.089111f, 0.097595f,
		0.107056f, 0.117371f, 0.128906f, 0.141113f, 0.154053f, 0.168579f, 0.183960f, 0.199585f, 0.216309f, 0.235352f, 0.612793f, 0.647949f,
		0.652832f, 0.656250f, 0.658691f, 0.658203f, 0.000506f, 0.001164f, 0.001575f, 0.002136f, 0.002600f, 0.003054f, 0.003405f, 0.003735f,
		0.004364f, 0.004681f, 0.004944f, 0.005569f, 0.005810f, 0.006187f, 0.006813f, 0.007233f, 0.007881f, 0.008217f, 0.008850f, 0.009293f,
		0.010109f, 0.010788f, 0.011543f, 0.012161f, 0.012993f, 0.013931f, 0.014809f, 0.015945f, 0.016983f, 0.018234f, 0.019440f, 0.020813f,
		0.022491f, 0.024261f, 0.026169f, 0.028458f, 0.030701f, 0.033295f, 0.036560f, 0.039520f, 0.043121f, 0.047333f, 0.052032f, 0.056885f,
		0.062561f, 0.068909f, 0.076111f, 0.083496f, 0.092407f, 0.101929f, 0.112671f, 0.124451f, 0.136719f, 0.150146f, 0.165039f, 0.180786f,
		0.197510f, 0.215210f, 0.597656f, 0.636230f, 0.642578f, 0.647461f, 0.647949f, 0.649902f, 0.000344f, 0.001057f, 0.001456f, 0.001907f,
		0.002377f, 0.002735f, 0.002983f, 0.003359f, 0.003651f, 0.003960f, 0.004311f, 0.004471f, 0.005009f, 0.005283f, 0.005653f, 0.006145f,
		0.006592f, 0.006889f, 0.007469f, 0.007889f, 0.008423f, 0.008911f, 0.009567f, 0.010124f, 0.010788f, 0.011574f, 0.012466f, 0.013123f,
		0.014053f, 0.015091f, 0.016159f, 0.017288f, 0.018539f, 0.020111f, 0.021698f, 0.023285f, 0.025024f, 0.027405f, 0.029800f, 0.032501f,
		0.035583f, 0.039001f, 0.042908f, 0.047302f, 0.052185f, 0.057465f, 0.063843f, 0.070984f, 0.078857f, 0.087463f, 0.097168f, 0.108215f,
		0.120117f, 0.132812f, 0.146851f, 0.161865f, 0.177856f, 0.195557f, 0.585449f, 0.624023f, 0.633301f, 0.636230f, 0.637695f, 0.638672f,
		0.000516f, 0.000847f, 0.001210f, 0.001663f, 0.002012f, 0.002218f, 0.002424f, 0.002861f, 0.002947f, 0.003275f, 0.003469f, 0.003819f,
		0.004169f, 0.004337f, 0.004658f, 0.005169f, 0.005424f, 0.005795f, 0.006138f, 0.006500f, 0.007057f, 0.007458f, 0.007874f, 0.008369f,
		0.008888f, 0.009583f, 0.010147f, 0.010864f, 0.011589f, 0.012428f, 0.013161f, 0.013931f, 0.015076f, 0.016266f, 0.017456f, 0.018845f,
		0.020432f, 0.022232f, 0.024094f, 0.026459f, 0.028809f, 0.031586f, 0.034973f, 0.038513f, 0.042755f, 0.047485f, 0.052643f, 0.058929f,
		0.065796f, 0.073792f, 0.082581f, 0.092407f, 0.103516f, 0.115723f, 0.128906f, 0.142944f, 0.158813f, 0.175781f, 0.572266f, 0.613770f,
		0.621094f, 0.625977f, 0.626953f, 0.628418f, 0.000262f, 0.000864f, 0.001096f, 0.001409f, 0.001576f, 0.001852f, 0.002047f, 0.002247f,
		0.002518f, 0.002741f, 0.002956f, 0.003157f, 0.003359f, 0.003597f, 0.003872f, 0.004230f, 0.004406f, 0.004772f, 0.005035f, 0.005379f,
		0.005695f, 0.006153f, 0.006485f, 0.006935f, 0.007275f, 0.007801f, 0.008301f, 0.008789f, 0.009300f, 0.009949f, 0.010727f, 0.011482f,
		0.012245f, 0.013145f, 0.014236f, 0.015236f, 0.016525f, 0.017838f, 0.019348f, 0.021088f, 0.023010f, 0.025253f, 0.027878f, 0.031128f,
		0.034149f, 0.038269f, 0.042694f, 0.047852f, 0.053833f, 0.060852f, 0.068665f, 0.077698f, 0.087891f, 0.099182f, 0.111633f, 0.125732f,
		0.140381f, 0.157227f, 0.558105f, 0.601562f, 0.610840f, 0.614746f, 0.617188f, 0.619141f, 0.000270f, 0.000683f, 0.000851f, 0.001138f,
		0.001346f, 0.001561f, 0.001701f, 0.001884f, 0.001984f, 0.002193f, 0.002455f, 0.002609f, 0.002743f, 0.002993f, 0.003159f, 0.003361f,
		0.003593f, 0.003883f, 0.004044f, 0.004360f, 0.004532f, 0.004971f, 0.005169f, 0.005573f, 0.005863f, 0.006252f, 0.006653f, 0.007095f,
		0.007572f, 0.008110f, 0.008713f, 0.009056f, 0.009827f, 0.010574f, 0.011307f, 0.012070f, 0.013069f, 0.014122f, 0.015297f, 0.016678f,
		0.018234f, 0.019775f, 0.021835f, 0.024216f, 0.026917f, 0.030151f, 0.033875f, 0.038147f, 0.043121f, 0.049408f, 0.056091f, 0.064026f,
		0.073059f, 0.083801f, 0.095276f, 0.108459f, 0.122803f, 0.138794f, 0.545410f, 0.590332f, 0.599609f, 0.603516f, 0.606445f, 0.607422f,
		0.000190f, 0.000607f, 0.000724f, 0.000989f, 0.001171f, 0.001265f, 0.001416f, 0.001602f, 0.001666f, 0.001761f, 0.001893f, 0.002102f,
		0.002199f, 0.002413f, 0.002537f, 0.002743f, 0.002850f, 0.003027f, 0.003258f, 0.003494f, 0.003729f, 0.003937f, 0.004204f, 0.004410f,
		0.004616f, 0.004921f, 0.005192f, 0.005604f, 0.005936f, 0.006298f, 0.006836f, 0.007233f, 0.007694f, 0.008224f, 0.008827f, 0.009506f,
		0.010262f, 0.011055f, 0.011978f, 0.012955f, 0.014099f, 0.015434f, 0.017029f, 0.018677f, 0.020813f, 0.023193f, 0.026169f, 0.029541f,
		0.033783f, 0.038513f, 0.044403f, 0.051208f, 0.059387f, 0.068665f, 0.079468f, 0.091858f, 0.105774f, 0.120728f, 0.530762f, 0.578125f,
		0.588379f, 0.592773f, 0.595215f, 0.597168f, 0.000151f, 0.000443f, 0.000673f, 0.000793f, 0.000937f, 0.000987f, 0.001092f, 0.001192f,
		0.001324f, 0.001460f, 0.001495f, 0.001565f, 0.001778f, 0.001944f, 0.002054f, 0.002096f, 0.002254f, 0.002338f, 0.002594f, 0.002737f,
		0.002886f, 0.003048f, 0.003294f, 0.003460f, 0.003679f, 0.003868f, 0.004086f, 0.004322f, 0.004642f, 0.004894f, 0.005199f, 0.005554f,
		0.006035f, 0.006451f, 0.006836f, 0.007359f, 0.007820f, 0.008461f, 0.009163f, 0.009956f, 0.010803f, 0.011871f, 0.012917f, 0.014343f,
		0.015900f, 0.017670f, 0.019791f, 0.022400f, 0.025589f, 0.029404f, 0.034210f, 0.039948f, 0.046936f, 0.055298f, 0.064941f, 0.076172f,
		0.089172f, 0.103821f, 0.517090f, 0.565918f, 0.576172f, 0.582031f, 0.584961f, 0.586426f, 0.000203f, 0.000287f, 0.000531f, 0.000688f,
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		0.275391f, 0.291504f, 0.308838f, 0.326904f, 0.344727f, 0.361572f, 0.378662f, 0.395020f, 0.411865f, 0.428711f, 0.445068f, 0.462646f,
		0.478271f, 0.494141f, 0.510254f, 0.525879f, 0.542480f, 0.557129f, 0.573242f, 0.588867f, 0.603516f, 0.618164f, 0.633789f, 0.648438f,
		0.663086f, 0.678223f, 0.691895f, 0.706543f, 0.720215f, 0.733398f, 0.746582f, 0.759766f, 0.774414f, 0.786621f, 0.799805f, 0.811523f,
		0.823730f, 0.836914f, 0.848145f, 0.860840f, 0.872070f, 0.884277f, 0.933594f, 0.918945f, 0.906250f, 0.895020f, 0.885254f, 0.876953f,
		0.006760f, 0.021011f, 0.034973f, 0.050049f, 0.065369f, 0.080261f, 0.095337f, 0.111633f, 0.127319f, 0.142822f, 0.159668f, 0.176514f,
		0.192383f, 0.209106f, 0.225586f, 0.242554f, 0.259277f, 0.275635f, 0.292480f, 0.309326f, 0.326904f, 0.343750f, 0.359619f, 0.376465f,
		0.393066f, 0.409424f, 0.426514f, 0.442871f, 0.458252f, 0.475586f, 0.490967f, 0.505859f, 0.522461f, 0.539062f, 0.554199f, 0.569336f,
		0.583984f, 0.600586f, 0.614258f, 0.630371f, 0.643555f, 0.658691f, 0.673340f, 0.687500f, 0.702148f, 0.715332f, 0.729980f, 0.743652f,
		0.756348f, 0.770020f, 0.782715f, 0.796387f, 0.808105f, 0.820801f, 0.833008f, 0.846680f, 0.857910f, 0.870117f, 0.927246f, 0.913574f,
		0.901367f, 0.891113f, 0.881348f, 0.873047f, 0.006367f, 0.019165f, 0.032379f, 0.046295f, 0.060089f, 0.074463f, 0.088867f, 0.103821f,
		0.118835f, 0.133911f, 0.149048f, 0.164673f, 0.180298f, 0.196289f, 0.212524f, 0.228516f, 0.244385f, 0.260742f, 0.277344f, 0.293213f,
		0.309570f, 0.326416f, 0.342773f, 0.358887f, 0.374512f, 0.391113f, 0.406982f, 0.423340f, 0.439453f, 0.455078f, 0.470947f, 0.487793f,
		0.502441f, 0.519043f, 0.533691f, 0.550293f, 0.564941f, 0.580078f, 0.595703f, 0.610840f, 0.625488f, 0.640137f, 0.654785f, 0.669434f,
		0.683594f, 0.696777f, 0.710938f, 0.725586f, 0.738770f, 0.752441f, 0.766113f, 0.778320f, 0.791016f, 0.805176f, 0.818359f, 0.830566f,
		0.842773f, 0.854980f, 0.920410f, 0.908203f, 0.896484f, 0.886230f, 0.877441f, 0.868652f, 0.005981f, 0.017914f, 0.030350f, 0.042908f,
		0.056213f, 0.069092f, 0.083008f, 0.096619f, 0.111084f, 0.124634f, 0.139526f, 0.154297f, 0.169312f, 0.184570f, 0.199951f, 0.215454f,
		0.230713f, 0.245728f, 0.261963f, 0.277588f, 0.293213f, 0.309326f, 0.325195f, 0.340820f, 0.356934f, 0.373047f, 0.388916f, 0.404785f,
		0.420410f, 0.436279f, 0.452148f, 0.468506f, 0.483154f, 0.499756f, 0.515137f, 0.530762f, 0.545898f, 0.560059f, 0.576172f, 0.590820f,
		0.606445f, 0.621094f, 0.635254f, 0.649902f, 0.663574f, 0.678223f, 0.692383f, 0.706543f, 0.720703f, 0.733887f, 0.748535f, 0.762695f,
		0.775391f, 0.789551f, 0.801758f, 0.814941f, 0.828125f, 0.840332f, 0.913574f, 0.902344f, 0.890625f, 0.881836f, 0.872559f, 0.865234f,
		0.005402f, 0.016617f, 0.028061f, 0.039948f, 0.051758f, 0.064270f, 0.076782f, 0.089600f, 0.102600f, 0.116455f, 0.130371f, 0.144165f,
		0.158936f, 0.172607f, 0.187744f, 0.201904f, 0.216431f, 0.232422f, 0.247192f, 0.261719f, 0.277100f, 0.292480f, 0.308838f, 0.323975f,
		0.339355f, 0.355469f, 0.371338f, 0.386230f, 0.402344f, 0.417725f, 0.433350f, 0.448486f, 0.464600f, 0.480225f, 0.495361f, 0.510742f,
		0.525879f, 0.541992f, 0.557129f, 0.571777f, 0.586914f, 0.601562f, 0.616211f, 0.631836f, 0.645508f, 0.661621f, 0.674805f, 0.688965f,
		0.703125f, 0.717773f, 0.731934f, 0.745605f, 0.757812f, 0.772949f, 0.785156f, 0.799316f, 0.812012f, 0.826172f, 0.906738f, 0.896484f,
		0.886230f, 0.876465f, 0.868164f, 0.860840f, 0.005264f, 0.015457f, 0.026474f, 0.037170f, 0.048157f, 0.059845f, 0.071594f, 0.083984f,
		0.096191f, 0.109070f, 0.121887f, 0.134766f, 0.148193f, 0.161255f, 0.175781f, 0.189209f, 0.203369f, 0.218384f, 0.233032f, 0.247681f,
		0.261963f, 0.277100f, 0.292480f, 0.307129f, 0.322998f, 0.337891f, 0.352539f, 0.368652f, 0.384033f, 0.399170f, 0.414307f, 0.430420f,
		0.445801f, 0.460693f, 0.475342f, 0.491211f, 0.506836f, 0.521973f, 0.537598f, 0.551758f, 0.567383f, 0.582520f, 0.598145f, 0.612305f,
		0.627441f, 0.642090f, 0.656738f, 0.670898f, 0.685059f, 0.698730f, 0.713867f, 0.728516f, 0.742188f, 0.755371f, 0.770020f, 0.782715f,
		0.796387f, 0.810547f, 0.899414f, 0.889648f, 0.879883f, 0.872070f, 0.863770f, 0.856445f, 0.004719f, 0.014229f, 0.024384f, 0.034607f,
		0.044708f, 0.055756f, 0.066895f, 0.077942f, 0.089600f, 0.101624f, 0.113525f, 0.125854f, 0.138428f, 0.151245f, 0.164673f, 0.177734f,
		0.191650f, 0.205078f, 0.219360f, 0.233154f, 0.247925f, 0.261475f, 0.276367f, 0.291504f, 0.305908f, 0.320312f, 0.335449f, 0.350098f,
		0.365723f, 0.380615f, 0.395996f, 0.411133f, 0.427002f, 0.441895f, 0.456543f, 0.472656f, 0.487793f, 0.502441f, 0.518555f, 0.533203f,
		0.547852f, 0.562988f, 0.577637f, 0.593262f, 0.607910f, 0.623535f, 0.638184f, 0.652344f, 0.666992f, 0.681641f, 0.696777f, 0.711426f,
		0.725098f, 0.738281f, 0.753418f, 0.766113f, 0.782227f, 0.794922f, 0.892090f, 0.884277f, 0.875000f, 0.866699f, 0.858887f, 0.852539f,
		0.004280f, 0.013329f, 0.022476f, 0.031982f, 0.042114f, 0.051849f, 0.062225f, 0.072449f, 0.083679f, 0.095032f, 0.105530f, 0.117676f,
		0.129517f, 0.141357f, 0.154297f, 0.166748f, 0.178711f, 0.192505f, 0.205933f, 0.219727f, 0.233521f, 0.247070f, 0.260986f, 0.275391f,
		0.290039f, 0.303955f, 0.319580f, 0.333740f, 0.347412f, 0.363037f, 0.377686f, 0.392822f, 0.408203f, 0.422852f, 0.437988f, 0.453125f,
		0.468506f, 0.483398f, 0.498779f, 0.514160f, 0.527832f, 0.543945f, 0.559570f, 0.574707f, 0.588867f, 0.604492f, 0.619141f, 0.634277f,
		0.648438f, 0.663086f, 0.678223f, 0.692383f, 0.707520f, 0.721680f, 0.735352f, 0.749512f, 0.764648f, 0.778320f, 0.884277f, 0.877441f,
		0.868652f, 0.861328f, 0.854492f, 0.847656f, 0.004280f, 0.012138f, 0.021103f, 0.029999f, 0.038940f, 0.048279f, 0.057831f, 0.067566f,
		0.077454f, 0.087524f, 0.098816f, 0.109558f, 0.120728f, 0.131958f, 0.143799f, 0.155762f, 0.168091f, 0.180176f, 0.193359f, 0.206177f,
		0.219360f, 0.232910f, 0.246338f, 0.260254f, 0.273682f, 0.287598f, 0.302246f, 0.316650f, 0.331299f, 0.344971f, 0.359863f, 0.374268f,
		0.389648f, 0.404297f, 0.419434f, 0.434326f, 0.449463f, 0.464844f, 0.479492f, 0.494141f, 0.509766f, 0.524414f, 0.540039f, 0.555176f,
		0.569824f, 0.584961f, 0.600098f, 0.615723f, 0.629883f, 0.645508f, 0.659668f, 0.675293f, 0.689453f, 0.704590f, 0.719238f, 0.732422f,
		0.748535f, 0.762207f, 0.876953f, 0.871582f, 0.863281f, 0.855957f, 0.849609f, 0.842773f, 0.003744f, 0.011436f, 0.019348f, 0.027893f,
		0.036102f, 0.044739f, 0.053711f, 0.063110f, 0.072205f, 0.081970f, 0.091919f, 0.101746f, 0.112732f, 0.122864f, 0.134521f, 0.145996f,
		0.157715f, 0.169434f, 0.181519f, 0.193848f, 0.206665f, 0.219360f, 0.231445f, 0.245361f, 0.259033f, 0.272217f, 0.286621f, 0.299805f,
		0.314209f, 0.328125f, 0.342285f, 0.357178f, 0.371826f, 0.386475f, 0.400635f, 0.415527f, 0.430420f, 0.445068f, 0.459717f, 0.476074f,
		0.490234f, 0.505371f, 0.521484f, 0.536133f, 0.551758f, 0.565430f, 0.581543f, 0.595703f, 0.611816f, 0.626465f, 0.641602f, 0.656738f,
		0.671875f, 0.686523f, 0.701172f, 0.715820f, 0.731445f, 0.746582f, 0.868652f, 0.864746f, 0.856934f, 0.851074f, 0.844727f, 0.837891f,
		0.003595f, 0.011093f, 0.018265f, 0.025711f, 0.033600f, 0.041656f, 0.050140f, 0.058350f, 0.067505f, 0.076416f, 0.085632f, 0.095093f,
		0.104919f, 0.115295f, 0.125610f, 0.136108f, 0.147583f, 0.157959f, 0.169800f, 0.181519f, 0.193359f, 0.205933f, 0.218140f, 0.231323f,
		0.243652f, 0.257324f, 0.270508f, 0.283447f, 0.297363f, 0.311523f, 0.325928f, 0.339111f, 0.353516f, 0.367432f, 0.382812f, 0.396973f,
		0.412109f, 0.426758f, 0.441406f, 0.456055f, 0.471436f, 0.486328f, 0.501953f, 0.516113f, 0.531738f, 0.546875f, 0.562500f, 0.577637f,
		0.592773f, 0.607910f, 0.622559f, 0.638184f, 0.653809f, 0.669434f, 0.684082f, 0.699219f, 0.714355f, 0.729492f, 0.860840f, 0.857422f,
		0.852051f, 0.844727f, 0.839355f, 0.832520f, 0.003349f, 0.009933f, 0.016754f, 0.024063f, 0.031204f, 0.038849f, 0.046356f, 0.054413f,
		0.062744f, 0.070984f, 0.080017f, 0.088989f, 0.097778f, 0.107361f, 0.117004f, 0.127197f, 0.137451f, 0.148071f, 0.159180f, 0.169922f,
		0.181519f, 0.192993f, 0.204956f, 0.217407f, 0.229980f, 0.242188f, 0.254883f, 0.267578f, 0.281494f, 0.294434f, 0.307861f, 0.321533f,
		0.335693f, 0.350098f, 0.364258f, 0.379150f, 0.393066f, 0.407715f, 0.422607f, 0.437500f, 0.452148f, 0.467041f, 0.482422f, 0.497314f,
		0.512695f, 0.527832f, 0.542969f, 0.558594f, 0.573730f, 0.589844f, 0.604004f, 0.619629f, 0.635254f, 0.651367f, 0.665527f, 0.681152f,
		0.696289f, 0.711914f, 0.852539f, 0.851562f, 0.846191f, 0.838867f, 0.832520f, 0.827637f, 0.003290f, 0.009415f, 0.015976f, 0.022095f,
		0.028946f, 0.036255f, 0.043396f, 0.050598f, 0.058502f, 0.066284f, 0.074036f, 0.082275f, 0.091187f, 0.099731f, 0.108826f, 0.118652f,
		0.128296f, 0.137939f, 0.148193f, 0.159302f, 0.170166f, 0.180786f, 0.191895f, 0.203491f, 0.215210f, 0.227661f, 0.240112f, 0.252686f,
		0.265625f, 0.278564f, 0.291748f, 0.305176f, 0.318604f, 0.332764f, 0.346924f, 0.360352f, 0.375000f, 0.389160f, 0.404297f, 0.418213f,
		0.433105f, 0.448486f, 0.463135f, 0.477783f, 0.493408f, 0.508301f, 0.523438f, 0.540039f, 0.554199f, 0.570312f, 0.585938f, 0.601074f,
		0.617188f, 0.633301f, 0.648926f, 0.664062f, 0.679688f, 0.695312f, 0.844727f, 0.844238f, 0.838867f, 0.833008f, 0.827148f, 0.822266f,
		0.002913f, 0.008621f, 0.014595f, 0.020950f, 0.027496f, 0.033600f, 0.040558f, 0.047119f, 0.054260f, 0.061615f, 0.068970f, 0.076782f,
		0.084717f, 0.093140f, 0.101562f, 0.109985f, 0.118591f, 0.129150f, 0.138306f, 0.148682f, 0.158447f, 0.169189f, 0.180054f, 0.191162f,
		0.202148f, 0.213379f, 0.225586f, 0.237305f, 0.250488f, 0.262939f, 0.275391f, 0.288086f, 0.302490f, 0.315186f, 0.329346f, 0.342529f,
		0.356934f, 0.370117f, 0.385742f, 0.400146f, 0.414795f, 0.429199f, 0.444336f, 0.459473f, 0.473389f, 0.489258f, 0.503906f, 0.519531f,
		0.535645f, 0.551270f, 0.566895f, 0.582520f, 0.598145f, 0.614258f, 0.629395f, 0.645996f, 0.661621f, 0.677734f, 0.837402f, 0.836914f,
		0.832520f, 0.826660f, 0.821777f, 0.816406f, 0.002748f, 0.008018f, 0.014168f, 0.019196f, 0.025040f, 0.031250f, 0.037506f, 0.043732f,
		0.050415f, 0.057098f, 0.063721f, 0.071167f, 0.078979f, 0.086609f, 0.094299f, 0.102783f, 0.111145f, 0.119812f, 0.128296f, 0.138306f,
		0.147583f, 0.157593f, 0.168213f, 0.178711f, 0.188843f, 0.200317f, 0.211792f, 0.223511f, 0.235352f, 0.247192f, 0.259521f, 0.272461f,
		0.285156f, 0.298584f, 0.312012f, 0.324707f, 0.339111f, 0.352783f, 0.366943f, 0.381348f, 0.395996f, 0.410889f, 0.425537f, 0.439941f,
		0.454834f, 0.470459f, 0.485352f, 0.501953f, 0.516113f, 0.531738f, 0.547363f, 0.563477f, 0.579102f, 0.595703f, 0.611328f, 0.626953f,
		0.642578f, 0.659668f, 0.828125f, 0.830566f, 0.825684f, 0.820801f, 0.815430f, 0.811035f, 0.002630f, 0.007412f, 0.012978f, 0.018356f,
		0.023758f, 0.028931f, 0.034729f, 0.040894f, 0.046631f, 0.053101f, 0.059143f, 0.065979f, 0.073669f, 0.080200f, 0.087585f, 0.095276f,
		0.102844f, 0.111633f, 0.119812f, 0.128296f, 0.137573f, 0.146729f, 0.156128f, 0.166382f, 0.176880f, 0.187256f, 0.197998f, 0.209351f,
		0.220581f, 0.232422f, 0.244385f, 0.256592f, 0.268799f, 0.281982f, 0.294922f, 0.308105f, 0.321045f, 0.334717f, 0.348633f, 0.363525f,
		0.378174f, 0.391846f, 0.406006f, 0.420898f, 0.436279f, 0.451660f, 0.466064f, 0.481934f, 0.496826f, 0.513184f, 0.528320f, 0.543945f,
		0.560059f, 0.576660f, 0.592285f, 0.608887f, 0.625000f, 0.640625f, 0.819336f, 0.822266f, 0.818848f, 0.813965f, 0.810059f, 0.805664f,
		0.002201f, 0.007240f, 0.011803f, 0.016617f, 0.021622f, 0.027344f, 0.032288f, 0.037598f, 0.043427f, 0.049194f, 0.055267f, 0.061462f,
		0.067566f, 0.073853f, 0.080872f, 0.088013f, 0.095703f, 0.103821f, 0.111145f, 0.119446f, 0.127563f, 0.136597f, 0.145752f, 0.155273f,
		0.165039f, 0.174683f, 0.185181f, 0.195801f, 0.206543f, 0.218140f, 0.229370f, 0.241455f, 0.253174f, 0.265381f, 0.278564f, 0.291504f,
		0.304199f, 0.317383f, 0.331299f, 0.344971f, 0.358643f, 0.373291f, 0.386963f, 0.402100f, 0.416016f, 0.431641f, 0.447266f, 0.462646f,
		0.477295f, 0.493652f, 0.509277f, 0.524902f, 0.541504f, 0.557617f, 0.574219f, 0.589844f, 0.605957f, 0.623047f, 0.810059f, 0.814453f,
		0.811035f, 0.807129f, 0.803223f, 0.798828f, 0.002293f, 0.006927f, 0.010994f, 0.015617f, 0.020584f, 0.025131f, 0.029663f, 0.034760f,
		0.040192f, 0.045532f, 0.050964f, 0.056793f, 0.062805f, 0.068726f, 0.074890f, 0.081482f, 0.088806f, 0.096069f, 0.103333f, 0.110535f,
		0.118896f, 0.126709f, 0.135254f, 0.144165f, 0.153442f, 0.162720f, 0.172119f, 0.182495f, 0.192749f, 0.203735f, 0.214600f, 0.225952f,
		0.237793f, 0.250000f, 0.261719f, 0.274170f, 0.287354f, 0.300293f, 0.313477f, 0.326904f, 0.340820f, 0.354980f, 0.369385f, 0.383545f,
		0.396973f, 0.411865f, 0.427734f, 0.442871f, 0.458740f, 0.473633f, 0.489502f, 0.505859f, 0.522461f, 0.537598f, 0.553711f, 0.572754f,
		0.588379f, 0.604492f, 0.802246f, 0.807617f, 0.804199f, 0.800781f, 0.797363f, 0.792969f, 0.002081f, 0.006172f, 0.010460f, 0.014503f,
		0.019104f, 0.023163f, 0.027832f, 0.032410f, 0.037354f, 0.041992f, 0.047211f, 0.052490f, 0.057831f, 0.063232f, 0.069458f, 0.075317f,
		0.082153f, 0.088257f, 0.094910f, 0.102295f, 0.110107f, 0.117554f, 0.125122f, 0.133667f, 0.142456f, 0.151001f, 0.160767f, 0.169922f,
		0.179443f, 0.190430f, 0.200562f, 0.211914f, 0.222412f, 0.234009f, 0.245850f, 0.258545f, 0.270752f, 0.283203f, 0.296387f, 0.309082f,
		0.322998f, 0.336670f, 0.350098f, 0.364990f, 0.378906f, 0.393311f, 0.408936f, 0.423096f, 0.438965f, 0.454834f, 0.470703f, 0.486572f,
		0.502441f, 0.518555f, 0.534668f, 0.551270f, 0.569336f, 0.585938f, 0.792480f, 0.799316f, 0.797363f, 0.793457f, 0.790039f, 0.786621f,
		0.002028f, 0.005669f, 0.009705f, 0.013565f, 0.017532f, 0.021286f, 0.025574f, 0.030197f, 0.034180f, 0.038757f, 0.043488f, 0.048737f,
		0.053497f, 0.058594f, 0.064026f, 0.070007f, 0.075623f, 0.081360f, 0.088135f, 0.094238f, 0.101379f, 0.108643f, 0.116028f, 0.123718f,
		0.131592f, 0.140137f, 0.149048f, 0.157715f, 0.167114f, 0.176636f, 0.187012f, 0.197388f, 0.208130f, 0.219238f, 0.230347f, 0.241943f,
		0.254150f, 0.266113f, 0.279053f, 0.291504f, 0.304932f, 0.318848f, 0.332031f, 0.345947f, 0.360107f, 0.375000f, 0.389404f, 0.404541f,
		0.419922f, 0.434814f, 0.450684f, 0.466553f, 0.482910f, 0.499023f, 0.516113f, 0.533203f, 0.550293f, 0.567383f, 0.783203f, 0.790527f,
		0.789551f, 0.786621f, 0.783691f, 0.780762f, 0.001852f, 0.005554f, 0.008957f, 0.012642f, 0.016296f, 0.020172f, 0.024033f, 0.027878f,
		0.031677f, 0.035919f, 0.040253f, 0.044952f, 0.049255f, 0.053955f, 0.058960f, 0.063965f, 0.069336f, 0.074951f, 0.080933f, 0.087219f,
		0.093201f, 0.100159f, 0.106689f, 0.114197f, 0.121521f, 0.129517f, 0.137817f, 0.146118f, 0.155151f, 0.164307f, 0.173462f, 0.183472f,
		0.193970f, 0.204224f, 0.215210f, 0.226562f, 0.238037f, 0.250244f, 0.262451f, 0.274902f, 0.287598f, 0.301025f, 0.314209f, 0.327393f,
		0.342041f, 0.356445f, 0.370850f, 0.385254f, 0.400879f, 0.415771f, 0.431396f, 0.446777f, 0.463379f, 0.480469f, 0.497314f, 0.514160f,
		0.530273f, 0.547363f, 0.774414f, 0.783203f, 0.782715f, 0.779297f, 0.776367f, 0.773438f, 0.001690f, 0.005207f, 0.008278f, 0.011696f,
		0.015068f, 0.018784f, 0.022186f, 0.025909f, 0.029221f, 0.033508f, 0.037109f, 0.041321f, 0.045471f, 0.049774f, 0.054108f, 0.058838f,
		0.063843f, 0.069214f, 0.074280f, 0.080078f, 0.086243f, 0.091980f, 0.098083f, 0.105164f, 0.111877f, 0.119446f, 0.126953f, 0.134888f,
		0.143555f, 0.151978f, 0.161133f, 0.170532f, 0.180176f, 0.189697f, 0.200684f, 0.211182f, 0.222412f, 0.234009f, 0.245972f, 0.257568f,
		0.270508f, 0.282959f, 0.295898f, 0.309570f, 0.323486f, 0.337158f, 0.351562f, 0.366211f, 0.381104f, 0.396729f, 0.411865f, 0.427490f,
		0.443604f, 0.459961f, 0.477051f, 0.494385f, 0.510742f, 0.529297f, 0.763184f, 0.774902f, 0.773438f, 0.771973f, 0.769043f, 0.767578f,
		0.001528f, 0.004692f, 0.007587f, 0.010956f, 0.014221f, 0.016907f, 0.020218f, 0.023407f, 0.027283f, 0.030273f, 0.033997f, 0.038055f,
		0.041809f, 0.045959f, 0.049683f, 0.053955f, 0.058838f, 0.063171f, 0.068176f, 0.073120f, 0.078491f, 0.084473f, 0.090332f, 0.096619f,
		0.102905f, 0.109619f, 0.116699f, 0.124207f, 0.131958f, 0.140503f, 0.148438f, 0.157349f, 0.166626f, 0.176392f, 0.186157f, 0.196045f,
		0.207031f, 0.218018f, 0.229736f, 0.241699f, 0.253174f, 0.265381f, 0.278320f, 0.291748f, 0.305176f, 0.318848f, 0.333496f, 0.347412f,
		0.362305f, 0.376709f, 0.392822f, 0.407715f, 0.424072f, 0.440430f, 0.457031f, 0.473633f, 0.491211f, 0.508789f, 0.753906f, 0.766602f,
		0.767090f, 0.764160f, 0.761719f, 0.759766f, 0.001261f, 0.004250f, 0.007389f, 0.010185f, 0.013023f, 0.015976f, 0.018692f, 0.021713f,
		0.024734f, 0.028183f, 0.031464f, 0.034943f, 0.038452f, 0.041870f, 0.045410f, 0.049561f, 0.054047f, 0.058044f, 0.062164f, 0.067017f,
		0.071838f, 0.077332f, 0.082581f, 0.088318f, 0.094360f, 0.100525f, 0.107117f, 0.114258f, 0.121643f, 0.128540f, 0.136841f, 0.144897f,
		0.153931f, 0.162476f, 0.171875f, 0.182007f, 0.192139f, 0.202637f, 0.213623f, 0.224854f, 0.237183f, 0.248657f, 0.260986f, 0.274170f,
		0.287354f, 0.300781f, 0.314453f, 0.328613f, 0.343018f, 0.358643f, 0.373291f, 0.388916f, 0.404785f, 0.420654f, 0.437744f, 0.454590f,
		0.471924f, 0.489990f, 0.744629f, 0.757812f, 0.757812f, 0.756836f, 0.754395f, 0.752441f, 0.001527f, 0.004047f, 0.006680f, 0.009369f,
		0.012024f, 0.014618f, 0.017288f, 0.020248f, 0.022705f, 0.025803f, 0.028778f, 0.031769f, 0.034912f, 0.038330f, 0.041595f, 0.045166f,
		0.048737f, 0.052673f, 0.056885f, 0.061218f, 0.065552f, 0.070251f, 0.075012f, 0.080505f, 0.086060f, 0.091614f, 0.097656f, 0.104065f,
		0.110901f, 0.118225f, 0.125366f, 0.133179f, 0.141357f, 0.149902f, 0.158569f, 0.168213f, 0.177734f, 0.187866f, 0.198364f, 0.208984f,
		0.220581f, 0.232422f, 0.244019f, 0.256836f, 0.269287f, 0.282471f, 0.296143f, 0.309326f, 0.324463f, 0.338379f, 0.353760f, 0.368652f,
		0.385498f, 0.400635f, 0.417725f, 0.434570f, 0.451660f, 0.469482f, 0.733887f, 0.749023f, 0.750977f, 0.749023f, 0.747070f, 0.744629f,
		0.001313f, 0.003803f, 0.006126f, 0.008507f, 0.011185f, 0.013550f, 0.015839f, 0.018219f, 0.021027f, 0.023438f, 0.026520f, 0.029129f,
		0.031738f, 0.034821f, 0.037964f, 0.041138f, 0.044434f, 0.048035f, 0.051636f, 0.055420f, 0.059540f, 0.063782f, 0.068176f, 0.073181f,
		0.077881f, 0.083496f, 0.088989f, 0.094849f, 0.101440f, 0.107849f, 0.114441f, 0.121887f, 0.129395f, 0.137207f, 0.145874f, 0.154419f,
		0.163574f, 0.173462f, 0.183228f, 0.193726f, 0.204712f, 0.216064f, 0.227661f, 0.239624f, 0.251709f, 0.264648f, 0.277832f, 0.291504f,
		0.305664f, 0.320312f, 0.334473f, 0.349854f, 0.365479f, 0.380615f, 0.397217f, 0.414551f, 0.432129f, 0.449951f, 0.722656f, 0.740234f,
		0.741699f, 0.741211f, 0.739746f, 0.737793f, 0.001137f, 0.003654f, 0.005871f, 0.007881f, 0.010262f, 0.012268f, 0.014496f, 0.017059f,
		0.018890f, 0.021317f, 0.023605f, 0.026291f, 0.029007f, 0.031494f, 0.034515f, 0.036987f, 0.040375f, 0.043457f, 0.046936f, 0.050385f,
		0.053925f, 0.058044f, 0.061981f, 0.066650f, 0.070679f, 0.075562f, 0.080994f, 0.085938f, 0.091919f, 0.098450f, 0.104370f, 0.110840f,
		0.118164f, 0.125366f, 0.133301f, 0.141357f, 0.150024f, 0.159546f, 0.168457f, 0.178711f, 0.189453f, 0.199707f, 0.211060f, 0.222656f,
		0.234741f, 0.247314f, 0.260010f, 0.272705f, 0.287354f, 0.300781f, 0.315674f, 0.330322f, 0.345947f, 0.362061f, 0.377441f, 0.394775f,
		0.412109f, 0.429199f, 0.712891f, 0.730957f, 0.733398f, 0.733398f, 0.731445f, 0.729492f, 0.001163f, 0.003218f, 0.005329f, 0.007542f,
		0.009331f, 0.011330f, 0.013367f, 0.015434f, 0.017685f, 0.019714f, 0.021515f, 0.024139f, 0.026062f, 0.028763f, 0.031204f, 0.033722f,
		0.036163f, 0.039398f, 0.041992f, 0.045624f, 0.048553f, 0.051971f, 0.056000f, 0.059937f, 0.063904f, 0.068054f, 0.072876f, 0.077820f,
		0.083374f, 0.088623f, 0.094116f, 0.100830f, 0.107117f, 0.114197f, 0.121399f, 0.129272f, 0.136963f, 0.145630f, 0.154785f, 0.163696f,
		0.173828f, 0.184204f, 0.194946f, 0.205933f, 0.217529f, 0.229614f, 0.242676f, 0.255859f, 0.269043f, 0.282471f, 0.296387f, 0.311523f,
		0.326172f, 0.341553f, 0.357910f, 0.374756f, 0.391846f, 0.409180f, 0.701660f, 0.721680f, 0.723633f, 0.724609f, 0.723145f, 0.722656f,
		0.001008f, 0.003147f, 0.004818f, 0.006882f, 0.008530f, 0.010468f, 0.012390f, 0.013832f, 0.016006f, 0.017899f, 0.019608f, 0.021866f,
		0.023849f, 0.025940f, 0.027847f, 0.030350f, 0.032806f, 0.035187f, 0.037994f, 0.040619f, 0.043732f, 0.046875f, 0.050110f, 0.053833f,
		0.057617f, 0.061371f, 0.065613f, 0.070068f, 0.074768f, 0.079895f, 0.085144f, 0.090637f, 0.096863f, 0.103149f, 0.110107f, 0.116943f,
		0.124634f, 0.132568f, 0.140991f, 0.149536f, 0.159302f, 0.169189f, 0.179443f, 0.189575f, 0.201538f, 0.213013f, 0.225342f, 0.236938f,
		0.250244f, 0.264160f, 0.278320f, 0.292236f, 0.307617f, 0.322021f, 0.337891f, 0.354248f, 0.371582f, 0.389160f, 0.689941f, 0.712891f,
		0.715820f, 0.715820f, 0.715820f, 0.714355f, 0.001126f, 0.002708f, 0.004486f, 0.006313f, 0.007927f, 0.009659f, 0.011238f, 0.012833f,
		0.014435f, 0.015823f, 0.017670f, 0.019485f, 0.021347f, 0.023453f, 0.025101f, 0.027161f, 0.029160f, 0.031525f, 0.033752f, 0.036560f,
		0.039154f, 0.041687f, 0.044891f, 0.047943f, 0.051453f, 0.054871f, 0.058655f, 0.062622f, 0.067078f, 0.071411f, 0.076355f, 0.081665f,
		0.086792f, 0.092957f, 0.098877f, 0.105713f, 0.112549f, 0.119995f, 0.127563f, 0.135864f, 0.144897f, 0.154297f, 0.164185f, 0.173828f,
		0.185059f, 0.196045f, 0.208008f, 0.219849f, 0.232666f, 0.245483f, 0.259033f, 0.273438f, 0.287842f, 0.302734f, 0.318604f, 0.334473f,
		0.351318f, 0.369385f, 0.679688f, 0.702637f, 0.707031f, 0.707031f, 0.707031f, 0.705566f, 0.000980f, 0.002733f, 0.004021f, 0.005688f,
		0.007084f, 0.008553f, 0.010345f, 0.011513f, 0.012962f, 0.014297f, 0.015823f, 0.017609f, 0.019119f, 0.020721f, 0.022568f, 0.024200f,
		0.026291f, 0.028000f, 0.030457f, 0.032410f, 0.034912f, 0.037476f, 0.039734f, 0.042786f, 0.045563f, 0.048920f, 0.052185f, 0.055817f,
		0.059662f, 0.063660f, 0.067993f, 0.072632f, 0.077759f, 0.083191f, 0.088623f, 0.094971f, 0.101135f, 0.107849f, 0.115479f, 0.122864f,
		0.131592f, 0.139893f, 0.149414f, 0.158447f, 0.169067f, 0.179443f, 0.191040f, 0.202393f, 0.214478f, 0.227539f, 0.240723f, 0.255127f,
		0.268555f, 0.283447f, 0.298828f, 0.315186f, 0.331787f, 0.348389f, 0.667480f, 0.693359f, 0.697754f, 0.698730f, 0.698242f, 0.697754f,
		0.000870f, 0.002420f, 0.003994f, 0.005165f, 0.006584f, 0.007763f, 0.009209f, 0.010468f, 0.011604f, 0.013336f, 0.013977f, 0.015442f,
		0.016830f, 0.018509f, 0.020065f, 0.021606f, 0.023224f, 0.024933f, 0.026672f, 0.028656f, 0.030914f, 0.033112f, 0.035187f, 0.037689f,
		0.040344f, 0.043335f, 0.046234f, 0.049438f, 0.052948f, 0.056427f, 0.060394f, 0.064331f, 0.069031f, 0.073853f, 0.078735f, 0.084412f,
		0.090271f, 0.096436f, 0.103455f, 0.110229f, 0.118042f, 0.126099f, 0.134766f, 0.143921f, 0.153198f, 0.163696f, 0.174438f, 0.185913f,
		0.197754f, 0.210083f, 0.222778f, 0.235962f, 0.250000f, 0.264648f, 0.279053f, 0.294922f, 0.311279f, 0.328613f, 0.655273f, 0.684082f,
		0.688477f, 0.689941f, 0.689941f, 0.689941f, 0.000790f, 0.002153f, 0.003576f, 0.004726f, 0.005966f, 0.007172f, 0.008186f, 0.009453f,
		0.010521f, 0.011482f, 0.012772f, 0.013771f, 0.015144f, 0.016434f, 0.017792f, 0.019226f, 0.020355f, 0.022049f, 0.023666f, 0.025375f,
		0.027145f, 0.029297f, 0.030975f, 0.033142f, 0.035339f, 0.037964f, 0.040405f, 0.043365f, 0.046478f, 0.049744f, 0.053101f, 0.057068f,
		0.060944f, 0.065063f, 0.069763f, 0.074646f, 0.079956f, 0.085938f, 0.091675f, 0.098083f, 0.105164f, 0.112732f, 0.121033f, 0.129395f,
		0.138428f, 0.148560f, 0.158325f, 0.169067f, 0.180664f, 0.192139f, 0.205078f, 0.217529f, 0.231934f, 0.246094f, 0.260010f, 0.275391f,
		0.292236f, 0.309570f, 0.644043f, 0.673340f, 0.678711f, 0.680664f, 0.680664f, 0.680176f, 0.000538f, 0.002022f, 0.003185f, 0.004456f,
		0.005360f, 0.006321f, 0.007286f, 0.008484f, 0.009422f, 0.010185f, 0.011177f, 0.012283f, 0.013191f, 0.014435f, 0.015587f, 0.016769f,
		0.017914f, 0.019302f, 0.020584f, 0.022171f, 0.023819f, 0.025391f, 0.027222f, 0.028992f, 0.030914f, 0.033234f, 0.035461f, 0.037903f,
		0.040649f, 0.043396f, 0.046326f, 0.049561f, 0.053131f, 0.056946f, 0.061279f, 0.065613f, 0.070374f, 0.075439f, 0.080811f, 0.086731f,
		0.093140f, 0.100037f, 0.107544f, 0.115662f, 0.124023f, 0.132935f, 0.143066f, 0.153320f, 0.163696f, 0.175415f, 0.187012f, 0.200195f,
		0.213013f, 0.227173f, 0.241455f, 0.256592f, 0.272461f, 0.288330f, 0.632812f, 0.663574f, 0.669434f, 0.670898f, 0.671387f, 0.671875f,
		0.000686f, 0.001864f, 0.002884f, 0.003883f, 0.004829f, 0.005592f, 0.006504f, 0.007454f, 0.008064f, 0.008995f, 0.009850f, 0.010948f,
		0.011711f, 0.012581f, 0.013763f, 0.014618f, 0.015701f, 0.016953f, 0.018112f, 0.019180f, 0.020691f, 0.021973f, 0.023560f, 0.025192f,
		0.026962f, 0.028717f, 0.030624f, 0.032959f, 0.035004f, 0.037567f, 0.040314f, 0.043121f, 0.046204f, 0.049713f, 0.053284f, 0.057129f,
		0.061157f, 0.065796f, 0.071167f, 0.076477f, 0.082214f, 0.088379f, 0.095276f, 0.102600f, 0.110596f, 0.118652f, 0.127808f, 0.137817f,
		0.147705f, 0.158569f, 0.170166f, 0.182251f, 0.195068f, 0.208008f, 0.222656f, 0.237671f, 0.252686f, 0.269287f, 0.620605f, 0.653320f,
		0.659180f, 0.661621f, 0.663086f, 0.663574f, 0.000782f, 0.001828f, 0.002949f, 0.003487f, 0.004421f, 0.005032f, 0.005878f, 0.006557f,
		0.007332f, 0.008110f, 0.008591f, 0.009537f, 0.010094f, 0.011147f, 0.011864f, 0.012779f, 0.013573f, 0.014549f, 0.015625f, 0.016846f,
		0.017822f, 0.018936f, 0.020279f, 0.021729f, 0.023117f, 0.024704f, 0.026505f, 0.028183f, 0.030289f, 0.032349f, 0.034546f, 0.037109f,
		0.039703f, 0.042786f, 0.045837f, 0.049133f, 0.053009f, 0.056763f, 0.061584f, 0.066284f, 0.071411f, 0.076843f, 0.083191f, 0.089722f,
		0.097290f, 0.104919f, 0.113647f, 0.122498f, 0.132324f, 0.142578f, 0.153809f, 0.164917f, 0.177612f, 0.190430f, 0.203857f, 0.218506f,
		0.233887f, 0.249390f, 0.606934f, 0.642578f, 0.649414f, 0.653320f, 0.652832f, 0.654785f, 0.000604f, 0.001636f, 0.002550f, 0.003180f,
		0.003799f, 0.004498f, 0.005051f, 0.005573f, 0.006325f, 0.006836f, 0.007607f, 0.008087f, 0.008820f, 0.009483f, 0.010132f, 0.010918f,
		0.011665f, 0.012527f, 0.013535f, 0.014297f, 0.015251f, 0.016190f, 0.017288f, 0.018433f, 0.019791f, 0.021133f, 0.022400f, 0.023865f,
		0.025742f, 0.027664f, 0.029373f, 0.031677f, 0.034027f, 0.036255f, 0.039032f, 0.042023f, 0.045197f, 0.048798f, 0.052643f, 0.056824f,
		0.061493f, 0.066467f, 0.072327f, 0.078308f, 0.084473f, 0.091858f, 0.099609f, 0.108032f, 0.117249f, 0.126831f, 0.137451f, 0.148193f,
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		0.000447f, 0.001384f, 0.001986f, 0.002697f, 0.003225f, 0.003828f, 0.004501f, 0.005009f, 0.005459f, 0.006027f, 0.006474f, 0.006935f,
		0.007591f, 0.008217f, 0.008644f, 0.009308f, 0.010025f, 0.010498f, 0.011330f, 0.012100f, 0.012909f, 0.013924f, 0.014618f, 0.015610f,
		0.016739f, 0.017807f, 0.019043f, 0.020340f, 0.021622f, 0.023178f, 0.024979f, 0.026520f, 0.028366f, 0.030640f, 0.032959f, 0.035492f,
		0.038239f, 0.041260f, 0.044495f, 0.048340f, 0.052399f, 0.056732f, 0.061768f, 0.067017f, 0.072754f, 0.079224f, 0.086304f, 0.093994f,
		0.102478f, 0.111511f, 0.121521f, 0.132080f, 0.143311f, 0.155518f, 0.168213f, 0.181763f, 0.196411f, 0.211548f, 0.583008f, 0.621094f,
		0.629395f, 0.632324f, 0.634766f, 0.635742f, 0.000375f, 0.001324f, 0.001728f, 0.002466f, 0.002872f, 0.003384f, 0.003685f, 0.004185f,
		0.004845f, 0.005184f, 0.005444f, 0.006130f, 0.006401f, 0.006844f, 0.007446f, 0.007957f, 0.008636f, 0.008965f, 0.009659f, 0.010139f,
		0.010971f, 0.011742f, 0.012497f, 0.013138f, 0.014099f, 0.014992f, 0.015900f, 0.017166f, 0.018143f, 0.019485f, 0.020676f, 0.022156f,
		0.023697f, 0.025528f, 0.027374f, 0.029556f, 0.031921f, 0.034424f, 0.037445f, 0.040375f, 0.044067f, 0.047577f, 0.052155f, 0.056824f,
		0.062042f, 0.067688f, 0.074158f, 0.081055f, 0.088745f, 0.097351f, 0.106323f, 0.116455f, 0.127075f, 0.138672f, 0.151123f, 0.164062f,
		0.177856f, 0.192871f, 0.570801f, 0.610840f, 0.619629f, 0.623047f, 0.625488f, 0.625977f, 0.000432f, 0.000921f, 0.001664f, 0.002056f,
		0.002697f, 0.003061f, 0.003326f, 0.003757f, 0.004044f, 0.004379f, 0.004761f, 0.004948f, 0.005463f, 0.005791f, 0.006199f, 0.006752f,
		0.007229f, 0.007526f, 0.008156f, 0.008621f, 0.009193f, 0.009712f, 0.010330f, 0.010994f, 0.011688f, 0.012466f, 0.013374f, 0.014153f,
		0.015099f, 0.016083f, 0.017212f, 0.018250f, 0.019623f, 0.021210f, 0.022614f, 0.024445f, 0.026321f, 0.028351f, 0.030762f, 0.033325f,
		0.036377f, 0.039642f, 0.043304f, 0.047485f, 0.051880f, 0.056885f, 0.062469f, 0.068542f, 0.075623f, 0.083374f, 0.091919f, 0.101135f,
		0.111389f, 0.122559f, 0.134277f, 0.146606f, 0.160278f, 0.174683f, 0.557617f, 0.600098f, 0.609375f, 0.612793f, 0.615723f, 0.616699f,
		0.000255f, 0.000997f, 0.001393f, 0.001908f, 0.002239f, 0.002512f, 0.002720f, 0.003166f, 0.003283f, 0.003616f, 0.003866f, 0.004223f,
		0.004597f, 0.004795f, 0.005127f, 0.005573f, 0.005939f, 0.006359f, 0.006657f, 0.007133f, 0.007687f, 0.008041f, 0.008545f, 0.009087f,
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		0.021530f, 0.023239f, 0.025055f, 0.027252f, 0.029663f, 0.032379f, 0.035339f, 0.038666f, 0.042664f, 0.047058f, 0.051849f, 0.057465f,
		0.063416f, 0.070557f, 0.078369f, 0.086731f, 0.096313f, 0.106384f, 0.117798f, 0.129761f, 0.143311f, 0.156982f, 0.544922f, 0.588867f,
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		0.006203f, 0.006626f, 0.007030f, 0.007519f, 0.007866f, 0.008354f, 0.009010f, 0.009468f, 0.010017f, 0.010765f, 0.011444f, 0.012291f,
		0.013100f, 0.014030f, 0.015030f, 0.016098f, 0.017441f, 0.018646f, 0.020157f, 0.021912f, 0.023804f, 0.026047f, 0.028488f, 0.031342f,
		0.034424f, 0.037994f, 0.042206f, 0.046997f, 0.052338f, 0.058533f, 0.065369f, 0.073364f, 0.081787f, 0.091492f, 0.102356f, 0.113647f,
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		0.018860f, 0.020493f, 0.022446f, 0.024658f, 0.027283f, 0.030228f, 0.033691f, 0.037659f, 0.042145f, 0.047546f, 0.053467f, 0.060547f,
		0.068359f, 0.077332f, 0.087158f, 0.098145f, 0.109741f, 0.123230f, 0.517090f, 0.566895f, 0.576660f, 0.581543f, 0.584961f, 0.587402f,
		0.000247f, 0.000702f, 0.000849f, 0.001033f, 0.001304f, 0.001416f, 0.001576f, 0.001754f, 0.001860f, 0.001953f, 0.002104f, 0.002327f,
		0.002419f, 0.002651f, 0.002785f, 0.003014f, 0.003134f, 0.003315f, 0.003584f, 0.003813f, 0.004078f, 0.004295f, 0.004555f, 0.004784f,
		0.005013f, 0.005329f, 0.005669f, 0.006069f, 0.006439f, 0.006821f, 0.007381f, 0.007797f, 0.008301f, 0.008812f, 0.009430f, 0.010139f,
		0.010948f, 0.011642f, 0.012573f, 0.013664f, 0.014671f, 0.016052f, 0.017502f, 0.019135f, 0.021255f, 0.023438f, 0.026199f, 0.029312f,
		0.033203f, 0.037476f, 0.042725f, 0.048828f, 0.055695f, 0.063721f, 0.072937f, 0.082947f, 0.094666f, 0.107117f, 0.504883f, 0.555664f,
		0.566406f, 0.572754f, 0.574707f, 0.577148f, 0.000217f, 0.000516f, 0.000750f, 0.000898f, 0.001011f, 0.001117f, 0.001203f, 0.001307f,
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		0.080200f, 0.091980f, 0.492676f, 0.543945f, 0.555664f, 0.561035f, 0.564453f, 0.566406f, 0.000131f, 0.000355f, 0.000605f, 0.000759f,
		0.000832f, 0.000904f, 0.001018f, 0.000975f, 0.001144f, 0.001235f, 0.001336f, 0.001447f, 0.001518f, 0.001620f, 0.001668f, 0.001835f,
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		0.033875f, 0.039734f, 0.047241f, 0.056122f, 0.066101f, 0.077637f, 0.477783f, 0.532715f, 0.544922f, 0.551270f, 0.553711f, 0.555664f,
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		0.304199f, 0.317383f, 0.330811f, 0.343750f, 0.357422f, 0.371826f, 0.385254f, 0.399902f, 0.413574f, 0.427246f, 0.441162f, 0.455566f,
		0.469971f, 0.484375f, 0.498535f, 0.514160f, 0.527344f, 0.541992f, 0.556152f, 0.570312f, 0.585449f, 0.600098f, 0.614746f, 0.629883f,
		0.645508f, 0.658203f, 0.673340f, 0.688477f, 0.703125f, 0.718262f, 0.851074f, 0.844727f, 0.835938f, 0.827637f, 0.820312f, 0.812988f,
		0.003786f, 0.011147f, 0.018921f, 0.026550f, 0.034729f, 0.042664f, 0.051117f, 0.060028f, 0.068298f, 0.077454f, 0.086914f, 0.096130f,
		0.105835f, 0.115662f, 0.126343f, 0.136475f, 0.146606f, 0.157715f, 0.168457f, 0.180176f, 0.191528f, 0.202759f, 0.215088f, 0.226929f,
		0.239014f, 0.251221f, 0.263428f, 0.275391f, 0.289062f, 0.301514f, 0.314941f, 0.328369f, 0.341797f, 0.354736f, 0.367676f, 0.382324f,
		0.395264f, 0.409912f, 0.423340f, 0.437012f, 0.451660f, 0.465576f, 0.480469f, 0.494629f, 0.508301f, 0.522949f, 0.538086f, 0.551758f,
		0.567383f, 0.582031f, 0.596191f, 0.610840f, 0.625977f, 0.639648f, 0.655273f, 0.670410f, 0.685547f, 0.700684f, 0.842285f, 0.837402f,
		0.829590f, 0.821289f, 0.813965f, 0.808105f, 0.003504f, 0.010445f, 0.017609f, 0.025131f, 0.032349f, 0.040314f, 0.047485f, 0.055756f,
		0.064026f, 0.072571f, 0.080872f, 0.089661f, 0.099426f, 0.108459f, 0.118286f, 0.127930f, 0.137817f, 0.147583f, 0.158203f, 0.169189f,
		0.180908f, 0.191040f, 0.203003f, 0.214111f, 0.225708f, 0.237549f, 0.249023f, 0.261475f, 0.273926f, 0.286865f, 0.299316f, 0.311768f,
		0.325684f, 0.338623f, 0.351562f, 0.364746f, 0.378418f, 0.392578f, 0.405518f, 0.419678f, 0.433105f, 0.447998f, 0.461670f, 0.475830f,
		0.490479f, 0.503906f, 0.519531f, 0.533203f, 0.547852f, 0.562988f, 0.576660f, 0.591797f, 0.606445f, 0.622070f, 0.636719f, 0.652344f,
		0.666504f, 0.682617f, 0.833496f, 0.830078f, 0.822754f, 0.815918f, 0.808594f, 0.802734f, 0.003447f, 0.009941f, 0.016373f, 0.023300f,
		0.030228f, 0.037689f, 0.044128f, 0.052551f, 0.059845f, 0.068115f, 0.076538f, 0.083862f, 0.092896f, 0.101440f, 0.110596f, 0.119995f,
		0.129028f, 0.138916f, 0.148926f, 0.158936f, 0.169189f, 0.180176f, 0.190308f, 0.201416f, 0.212769f, 0.224365f, 0.235962f, 0.247192f,
		0.259033f, 0.271973f, 0.283936f, 0.296631f, 0.309570f, 0.321777f, 0.334961f, 0.348389f, 0.361572f, 0.374756f, 0.388184f, 0.401611f,
		0.415771f, 0.429443f, 0.443359f, 0.457520f, 0.471436f, 0.486084f, 0.500977f, 0.514648f, 0.528809f, 0.543457f, 0.558594f, 0.573242f,
		0.588867f, 0.603516f, 0.617676f, 0.633301f, 0.648926f, 0.664551f, 0.824219f, 0.823242f, 0.815918f, 0.809082f, 0.802246f, 0.796387f,
		0.003141f, 0.009407f, 0.015251f, 0.021851f, 0.028107f, 0.034882f, 0.041779f, 0.048340f, 0.056244f, 0.062988f, 0.071106f, 0.078796f,
		0.087036f, 0.094910f, 0.103149f, 0.112305f, 0.121460f, 0.130371f, 0.139404f, 0.149048f, 0.159180f, 0.169189f, 0.179565f, 0.189087f,
		0.200317f, 0.211548f, 0.222412f, 0.233765f, 0.245117f, 0.257324f, 0.269043f, 0.281006f, 0.293213f, 0.305664f, 0.318848f, 0.331055f,
		0.343750f, 0.358398f, 0.369873f, 0.384033f, 0.397217f, 0.411865f, 0.424805f, 0.438965f, 0.453125f, 0.467529f, 0.481689f, 0.495850f,
		0.510254f, 0.524414f, 0.539551f, 0.554688f, 0.569824f, 0.584961f, 0.599121f, 0.614258f, 0.629883f, 0.645020f, 0.815430f, 0.814453f,
		0.809570f, 0.802734f, 0.796875f, 0.791504f, 0.002838f, 0.008461f, 0.014236f, 0.020676f, 0.026749f, 0.032593f, 0.039032f, 0.045715f,
		0.052216f, 0.059479f, 0.066467f, 0.073608f, 0.080933f, 0.088623f, 0.096619f, 0.104919f, 0.113098f, 0.121521f, 0.130493f, 0.139526f,
		0.148560f, 0.158203f, 0.167969f, 0.177979f, 0.187988f, 0.198730f, 0.208862f, 0.220093f, 0.231323f, 0.242798f, 0.253906f, 0.265869f,
		0.278320f, 0.289551f, 0.302246f, 0.314941f, 0.327393f, 0.340088f, 0.353516f, 0.365967f, 0.379883f, 0.392822f, 0.406738f, 0.420898f,
		0.434814f, 0.447998f, 0.462891f, 0.477539f, 0.491455f, 0.506836f, 0.520996f, 0.536133f, 0.550781f, 0.565918f, 0.581055f, 0.596680f,
		0.611816f, 0.627441f, 0.806152f, 0.807617f, 0.801270f, 0.796387f, 0.790039f, 0.784668f, 0.002689f, 0.008102f, 0.013618f, 0.019058f,
		0.024719f, 0.030548f, 0.036560f, 0.042725f, 0.048615f, 0.054779f, 0.061615f, 0.068604f, 0.075012f, 0.082703f, 0.090271f, 0.097900f,
		0.105530f, 0.113586f, 0.121826f, 0.130371f, 0.139282f, 0.147705f, 0.157349f, 0.166504f, 0.176147f, 0.186401f, 0.196289f, 0.207520f,
		0.217651f, 0.228394f, 0.239868f, 0.251465f, 0.262451f, 0.274414f, 0.286377f, 0.298828f, 0.311035f, 0.323730f, 0.336670f, 0.349121f,
		0.362549f, 0.375244f, 0.389160f, 0.402344f, 0.417236f, 0.429932f, 0.443848f, 0.458984f, 0.472168f, 0.487793f, 0.501953f, 0.517578f,
		0.531738f, 0.546875f, 0.561523f, 0.576660f, 0.593262f, 0.608398f, 0.797852f, 0.798828f, 0.794922f, 0.789551f, 0.784668f, 0.779297f,
		0.002666f, 0.007462f, 0.012596f, 0.018066f, 0.023026f, 0.028412f, 0.033813f, 0.039398f, 0.045166f, 0.051239f, 0.057587f, 0.063721f,
		0.070312f, 0.077148f, 0.084167f, 0.090820f, 0.098267f, 0.105591f, 0.113159f, 0.121460f, 0.129761f, 0.138428f, 0.147217f, 0.156128f,
		0.165283f, 0.174438f, 0.183960f, 0.194092f, 0.204834f, 0.214844f, 0.225830f, 0.236816f, 0.247925f, 0.259033f, 0.270752f, 0.282227f,
		0.294678f, 0.306641f, 0.319336f, 0.332031f, 0.344482f, 0.357910f, 0.371094f, 0.384033f, 0.398682f, 0.412109f, 0.425781f, 0.440186f,
		0.454102f, 0.468018f, 0.482910f, 0.497314f, 0.512207f, 0.528320f, 0.542969f, 0.558594f, 0.573242f, 0.589355f, 0.787598f, 0.791016f,
		0.787109f, 0.781738f, 0.777344f, 0.772461f, 0.002569f, 0.007069f, 0.012199f, 0.016739f, 0.021393f, 0.026672f, 0.031189f, 0.037109f,
		0.042480f, 0.047729f, 0.053345f, 0.059387f, 0.065430f, 0.071838f, 0.078186f, 0.084167f, 0.091492f, 0.098816f, 0.105774f, 0.112976f,
		0.121155f, 0.129028f, 0.136963f, 0.145508f, 0.153687f, 0.163086f, 0.172363f, 0.181885f, 0.191406f, 0.201782f, 0.211670f, 0.222412f,
		0.233032f, 0.244263f, 0.255371f, 0.266846f, 0.278809f, 0.290527f, 0.302734f, 0.314697f, 0.327393f, 0.340820f, 0.353027f, 0.366455f,
		0.380127f, 0.393799f, 0.406006f, 0.421143f, 0.435059f, 0.449707f, 0.463623f, 0.479248f, 0.494141f, 0.509277f, 0.523438f, 0.539551f,
		0.555176f, 0.570801f, 0.778320f, 0.783203f, 0.779785f, 0.775879f, 0.770996f, 0.767090f, 0.002398f, 0.006733f, 0.010918f, 0.015495f,
		0.020203f, 0.024963f, 0.029663f, 0.034485f, 0.039246f, 0.044678f, 0.049896f, 0.055267f, 0.060486f, 0.066345f, 0.072693f, 0.078857f,
		0.085083f, 0.091370f, 0.097961f, 0.105530f, 0.112244f, 0.119629f, 0.127563f, 0.135376f, 0.143799f, 0.152100f, 0.160889f, 0.169922f,
		0.178833f, 0.188843f, 0.198608f, 0.208496f, 0.218628f, 0.229492f, 0.240479f, 0.251953f, 0.262695f, 0.274902f, 0.286377f, 0.298340f,
		0.310547f, 0.323242f, 0.335693f, 0.349365f, 0.362061f, 0.375000f, 0.388916f, 0.402832f, 0.416748f, 0.430420f, 0.445068f, 0.459473f,
		0.474854f, 0.489258f, 0.504883f, 0.519531f, 0.535645f, 0.551758f, 0.769043f, 0.774902f, 0.771973f, 0.768555f, 0.764160f, 0.759766f,
		0.002062f, 0.006191f, 0.010384f, 0.014786f, 0.018402f, 0.023270f, 0.027435f, 0.031891f, 0.036163f, 0.041199f, 0.045685f, 0.051208f,
		0.056244f, 0.061371f, 0.066772f, 0.072510f, 0.078369f, 0.084656f, 0.091125f, 0.097290f, 0.104309f, 0.111145f, 0.118164f, 0.126221f,
		0.133301f, 0.141724f, 0.149658f, 0.157837f, 0.167236f, 0.176025f, 0.185547f, 0.195190f, 0.205444f, 0.215332f, 0.225830f, 0.236084f,
		0.247314f, 0.259033f, 0.270020f, 0.281982f, 0.293701f, 0.305908f, 0.318848f, 0.331787f, 0.344482f, 0.357178f, 0.370361f, 0.384521f,
		0.397461f, 0.411621f, 0.426025f, 0.440674f, 0.455322f, 0.470703f, 0.485596f, 0.500977f, 0.517578f, 0.532227f, 0.759277f, 0.766602f,
		0.764160f, 0.761230f, 0.757324f, 0.753418f, 0.002064f, 0.005859f, 0.009613f, 0.013626f, 0.017456f, 0.021606f, 0.025574f, 0.029526f,
		0.034302f, 0.038422f, 0.042938f, 0.047485f, 0.052155f, 0.056763f, 0.061951f, 0.067139f, 0.072754f, 0.078308f, 0.084167f, 0.090149f,
		0.096191f, 0.102722f, 0.109558f, 0.116699f, 0.123901f, 0.131104f, 0.139160f, 0.146729f, 0.155273f, 0.163940f, 0.173096f, 0.182129f,
		0.192017f, 0.201172f, 0.211060f, 0.221558f, 0.232544f, 0.243530f, 0.254150f, 0.266113f, 0.277588f, 0.289307f, 0.301758f, 0.313965f,
		0.326904f, 0.338867f, 0.352051f, 0.366211f, 0.379150f, 0.393066f, 0.407471f, 0.421875f, 0.436768f, 0.450439f, 0.466553f, 0.481201f,
		0.497314f, 0.513184f, 0.749512f, 0.758301f, 0.756348f, 0.753906f, 0.750000f, 0.746582f, 0.001851f, 0.005405f, 0.009109f, 0.012589f,
		0.016129f, 0.020020f, 0.023926f, 0.027481f, 0.031738f, 0.035492f, 0.039734f, 0.044128f, 0.048065f, 0.052765f, 0.057373f, 0.061859f,
		0.066711f, 0.072388f, 0.077393f, 0.083130f, 0.088745f, 0.094727f, 0.101135f, 0.107666f, 0.114380f, 0.121704f, 0.128540f, 0.136108f,
		0.144043f, 0.151733f, 0.160522f, 0.169678f, 0.178589f, 0.187622f, 0.197998f, 0.207397f, 0.217285f, 0.227905f, 0.238892f, 0.250000f,
		0.261230f, 0.272461f, 0.284180f, 0.296387f, 0.308838f, 0.321533f, 0.334473f, 0.347656f, 0.361328f, 0.375000f, 0.388672f, 0.402588f,
		0.417969f, 0.432617f, 0.447021f, 0.461914f, 0.478516f, 0.493652f, 0.739258f, 0.749512f, 0.749023f, 0.745605f, 0.742188f, 0.739746f,
		0.001666f, 0.005405f, 0.008575f, 0.011696f, 0.015327f, 0.018646f, 0.022293f, 0.025650f, 0.029327f, 0.032776f, 0.036530f, 0.040619f,
		0.044128f, 0.048828f, 0.052887f, 0.057098f, 0.061829f, 0.066467f, 0.071350f, 0.076355f, 0.081909f, 0.087341f, 0.092896f, 0.099304f,
		0.105469f, 0.112000f, 0.118835f, 0.125977f, 0.133545f, 0.140991f, 0.148438f, 0.156982f, 0.165771f, 0.174805f, 0.183960f, 0.193115f,
		0.203369f, 0.212891f, 0.223389f, 0.234497f, 0.244751f, 0.256348f, 0.268066f, 0.279541f, 0.291260f, 0.303955f, 0.316406f, 0.329590f,
		0.342529f, 0.355957f, 0.369385f, 0.384766f, 0.398926f, 0.413330f, 0.428467f, 0.442383f, 0.458740f, 0.474609f, 0.728516f, 0.740723f,
		0.740234f, 0.738281f, 0.735352f, 0.732910f, 0.001534f, 0.004936f, 0.007980f, 0.011223f, 0.013893f, 0.017212f, 0.020294f, 0.023361f,
		0.026688f, 0.030182f, 0.033600f, 0.037537f, 0.040924f, 0.044495f, 0.048340f, 0.052155f, 0.056732f, 0.061035f, 0.065430f, 0.069824f,
		0.075073f, 0.080078f, 0.085571f, 0.091003f, 0.096863f, 0.103271f, 0.109009f, 0.115723f, 0.123230f, 0.129639f, 0.137207f, 0.145264f,
		0.153320f, 0.161499f, 0.170410f, 0.179688f, 0.189087f, 0.198364f, 0.208740f, 0.218750f, 0.229126f, 0.240356f, 0.251465f, 0.263184f,
		0.274902f, 0.286621f, 0.299072f, 0.311768f, 0.324463f, 0.337402f, 0.351074f, 0.364746f, 0.378662f, 0.394287f, 0.408936f, 0.423096f,
		0.439453f, 0.455322f, 0.716797f, 0.731934f, 0.732422f, 0.729980f, 0.728027f, 0.725586f, 0.001639f, 0.004337f, 0.007439f, 0.009888f,
		0.013092f, 0.015717f, 0.018921f, 0.021805f, 0.024612f, 0.027542f, 0.030762f, 0.034088f, 0.037598f, 0.041107f, 0.044189f, 0.047699f,
		0.051666f, 0.055664f, 0.059723f, 0.064148f, 0.068542f, 0.073425f, 0.078003f, 0.083435f, 0.088806f, 0.094360f, 0.100159f, 0.106079f,
		0.112915f, 0.119690f, 0.125977f, 0.133667f, 0.141357f, 0.149414f, 0.157349f, 0.166260f, 0.175049f, 0.184326f, 0.193970f, 0.203735f,
		0.214355f, 0.224609f, 0.235352f, 0.246460f, 0.257568f, 0.269287f, 0.281738f, 0.294189f, 0.305908f, 0.319824f, 0.332520f, 0.346680f,
		0.360596f, 0.375244f, 0.389648f, 0.404297f, 0.419189f, 0.435791f, 0.707520f, 0.723145f, 0.723633f, 0.722656f, 0.720703f, 0.717773f,
		0.001469f, 0.004345f, 0.006844f, 0.009483f, 0.012428f, 0.014679f, 0.017166f, 0.019989f, 0.022949f, 0.025574f, 0.028320f, 0.031525f,
		0.034088f, 0.037323f, 0.040710f, 0.043762f, 0.047119f, 0.050873f, 0.054352f, 0.058441f, 0.062561f, 0.066711f, 0.071167f, 0.075989f,
		0.080627f, 0.086426f, 0.091553f, 0.097473f, 0.103210f, 0.109680f, 0.115723f, 0.122986f, 0.129761f, 0.137451f, 0.145142f, 0.153198f,
		0.161621f, 0.170654f, 0.179688f, 0.189087f, 0.198730f, 0.209229f, 0.219604f, 0.230225f, 0.241211f, 0.252197f, 0.264404f, 0.276367f,
		0.288574f, 0.301270f, 0.314453f, 0.328125f, 0.341309f, 0.354980f, 0.370117f, 0.385498f, 0.399902f, 0.415771f, 0.696289f, 0.714355f,
		0.715820f, 0.714355f, 0.712891f, 0.710449f, 0.001227f, 0.003862f, 0.006245f, 0.008644f, 0.010796f, 0.013344f, 0.015823f, 0.018448f,
		0.020645f, 0.023331f, 0.025681f, 0.028305f, 0.030975f, 0.033722f, 0.036987f, 0.039673f, 0.043121f, 0.046112f, 0.049774f, 0.053406f,
		0.056854f, 0.060760f, 0.064697f, 0.069397f, 0.073364f, 0.078369f, 0.083313f, 0.088257f, 0.094116f, 0.100098f, 0.105957f, 0.112122f,
		0.118774f, 0.125854f, 0.133057f, 0.140869f, 0.148682f, 0.157227f, 0.165405f, 0.174927f, 0.184082f, 0.193726f, 0.204102f, 0.214111f,
		0.225098f, 0.236328f, 0.247314f, 0.259277f, 0.270752f, 0.282959f, 0.296143f, 0.309082f, 0.322510f, 0.336426f, 0.350830f, 0.365479f,
		0.380371f, 0.396240f, 0.684570f, 0.705078f, 0.706543f, 0.706543f, 0.705078f, 0.703125f, 0.001069f, 0.003525f, 0.006062f, 0.008286f,
		0.010178f, 0.012589f, 0.014542f, 0.017075f, 0.019241f, 0.021179f, 0.023499f, 0.026047f, 0.028137f, 0.030762f, 0.033417f, 0.035889f,
		0.038757f, 0.041779f, 0.044586f, 0.048309f, 0.051056f, 0.054810f, 0.058777f, 0.062347f, 0.066528f, 0.070740f, 0.075256f, 0.080261f,
		0.085205f, 0.090393f, 0.095886f, 0.102478f, 0.108154f, 0.114441f, 0.121399f, 0.128784f, 0.135742f, 0.144165f, 0.151978f, 0.160767f,
		0.169434f, 0.178833f, 0.188721f, 0.198608f, 0.208984f, 0.220215f, 0.230957f, 0.241943f, 0.253906f, 0.265869f, 0.278564f, 0.291260f,
		0.304443f, 0.318359f, 0.332031f, 0.346680f, 0.361572f, 0.377197f, 0.673828f, 0.695801f, 0.698242f, 0.697754f, 0.697266f, 0.695312f,
		0.001211f, 0.003250f, 0.005112f, 0.007195f, 0.009651f, 0.011414f, 0.013641f, 0.015205f, 0.017334f, 0.019608f, 0.021164f, 0.023712f,
		0.025726f, 0.027863f, 0.029984f, 0.032410f, 0.035034f, 0.037689f, 0.040466f, 0.042938f, 0.046478f, 0.049591f, 0.052856f, 0.056274f,
		0.060089f, 0.063721f, 0.068115f, 0.072266f, 0.076904f, 0.081970f, 0.087036f, 0.092285f, 0.097961f, 0.104309f, 0.110535f, 0.117126f,
		0.124084f, 0.131226f, 0.139038f, 0.147095f, 0.155884f, 0.164429f, 0.174194f, 0.183228f, 0.192749f, 0.203491f, 0.214233f, 0.224976f,
		0.236206f, 0.247925f, 0.260498f, 0.272705f, 0.285889f, 0.299805f, 0.312988f, 0.327637f, 0.342529f, 0.356934f, 0.662598f, 0.686523f,
		0.689453f, 0.689453f, 0.688965f, 0.687500f, 0.001138f, 0.003206f, 0.005180f, 0.007309f, 0.008377f, 0.010635f, 0.012352f, 0.014153f,
		0.015640f, 0.017487f, 0.019272f, 0.021164f, 0.023026f, 0.025314f, 0.027222f, 0.029282f, 0.031433f, 0.033600f, 0.036041f, 0.038788f,
		0.041626f, 0.044281f, 0.047455f, 0.050507f, 0.054047f, 0.057556f, 0.061188f, 0.065063f, 0.069214f, 0.073486f, 0.078369f, 0.083191f,
		0.088196f, 0.093811f, 0.099609f, 0.106018f, 0.112305f, 0.119385f, 0.126343f, 0.134033f, 0.142090f, 0.150635f, 0.159546f, 0.168579f,
		0.177734f, 0.187500f, 0.198242f, 0.208618f, 0.219604f, 0.231812f, 0.242188f, 0.254883f, 0.267578f, 0.281494f, 0.294434f, 0.308350f,
		0.322998f, 0.338379f, 0.651367f, 0.676758f, 0.681152f, 0.680664f, 0.680664f, 0.679688f, 0.000977f, 0.002806f, 0.004559f, 0.006176f,
		0.008034f, 0.009476f, 0.011131f, 0.012741f, 0.014275f, 0.015732f, 0.017334f, 0.019104f, 0.020767f, 0.022293f, 0.024323f, 0.026016f,
		0.028198f, 0.030197f, 0.032257f, 0.034515f, 0.036957f, 0.039856f, 0.042084f, 0.044891f, 0.047791f, 0.051147f, 0.054535f, 0.058197f,
		0.061768f, 0.065674f, 0.069946f, 0.074585f, 0.079102f, 0.084412f, 0.089600f, 0.095398f, 0.101196f, 0.107544f, 0.114258f, 0.121094f,
		0.128662f, 0.137085f, 0.145020f, 0.153687f, 0.162720f, 0.172607f, 0.182129f, 0.192749f, 0.203125f, 0.214111f, 0.226074f, 0.237671f,
		0.249878f, 0.262207f, 0.275635f, 0.289551f, 0.304199f, 0.318848f, 0.639160f, 0.666992f, 0.671387f, 0.671875f, 0.671875f, 0.671387f,
		0.000968f, 0.002722f, 0.004318f, 0.005634f, 0.007393f, 0.008667f, 0.010139f, 0.011383f, 0.012856f, 0.014389f, 0.015427f, 0.016907f,
		0.018387f, 0.020081f, 0.021683f, 0.023315f, 0.025085f, 0.026840f, 0.028641f, 0.030624f, 0.032837f, 0.035065f, 0.037445f, 0.039948f,
		0.042542f, 0.045410f, 0.048340f, 0.051514f, 0.054840f, 0.058502f, 0.062408f, 0.066223f, 0.070679f, 0.075134f, 0.080078f, 0.085388f,
		0.090515f, 0.096436f, 0.102722f, 0.109314f, 0.116333f, 0.123352f, 0.131592f, 0.139526f, 0.147949f, 0.156860f, 0.166748f, 0.176758f,
		0.187134f, 0.197632f, 0.209106f, 0.220337f, 0.232666f, 0.244751f, 0.257568f, 0.270996f, 0.284912f, 0.300537f, 0.627441f, 0.657227f,
		0.662598f, 0.663574f, 0.663574f, 0.663086f, 0.001081f, 0.002466f, 0.003862f, 0.005348f, 0.006447f, 0.007927f, 0.009018f, 0.010490f,
		0.011436f, 0.012627f, 0.013916f, 0.015015f, 0.016449f, 0.017563f, 0.019165f, 0.020706f, 0.021973f, 0.023834f, 0.025467f, 0.027130f,
		0.029175f, 0.030991f, 0.033081f, 0.035156f, 0.037384f, 0.040039f, 0.042603f, 0.045502f, 0.048492f, 0.051636f, 0.054962f, 0.058716f,
		0.062439f, 0.066467f, 0.071045f, 0.075378f, 0.080811f, 0.085815f, 0.091492f, 0.098022f, 0.103943f, 0.111023f, 0.118164f, 0.125732f,
		0.133911f, 0.142456f, 0.151367f, 0.161011f, 0.170898f, 0.181396f, 0.192139f, 0.203247f, 0.214844f, 0.227173f, 0.239380f, 0.252441f,
		0.266602f, 0.281006f, 0.616699f, 0.647949f, 0.653320f, 0.655273f, 0.654785f, 0.655273f, 0.000735f, 0.002331f, 0.003601f, 0.005005f,
		0.005825f, 0.007061f, 0.008049f, 0.009148f, 0.010315f, 0.011131f, 0.012230f, 0.013367f, 0.014328f, 0.015541f, 0.016968f, 0.018234f,
		0.019257f, 0.020798f, 0.022202f, 0.023666f, 0.025452f, 0.027115f, 0.028885f, 0.030792f, 0.032715f, 0.035034f, 0.037323f, 0.039825f,
		0.042419f, 0.045258f, 0.048157f, 0.051422f, 0.054810f, 0.058411f, 0.062378f, 0.066528f, 0.071106f, 0.076233f, 0.081116f, 0.086853f,
		0.092407f, 0.098938f, 0.105469f, 0.112854f, 0.120361f, 0.128418f, 0.136841f, 0.145752f, 0.155273f, 0.165283f, 0.175537f, 0.186646f,
		0.197510f, 0.209473f, 0.221558f, 0.234619f, 0.248047f, 0.261719f, 0.603516f, 0.636719f, 0.644531f, 0.645020f, 0.645508f, 0.646484f,
		0.000837f, 0.002073f, 0.003357f, 0.004292f, 0.005409f, 0.006271f, 0.007271f, 0.007973f, 0.008873f, 0.009956f, 0.010811f, 0.012032f,
		0.012848f, 0.013664f, 0.014870f, 0.015839f, 0.017090f, 0.018280f, 0.019333f, 0.020691f, 0.022186f, 0.023453f, 0.025223f, 0.026779f,
		0.028595f, 0.030441f, 0.032410f, 0.034729f, 0.036743f, 0.039307f, 0.042023f, 0.044434f, 0.047791f, 0.050781f, 0.054413f, 0.058075f,
		0.061951f, 0.066711f, 0.071106f, 0.076355f, 0.081848f, 0.087341f, 0.093872f, 0.099854f, 0.107483f, 0.114441f, 0.122925f, 0.131104f,
		0.140381f, 0.149414f, 0.159180f, 0.170166f, 0.181152f, 0.192139f, 0.204468f, 0.216553f, 0.230103f, 0.244507f, 0.592773f, 0.626953f,
		0.635254f, 0.637207f, 0.636719f, 0.637695f, 0.000524f, 0.001863f, 0.003014f, 0.003777f, 0.004852f, 0.005516f, 0.006428f, 0.007111f,
		0.008095f, 0.008888f, 0.009476f, 0.010345f, 0.011063f, 0.012016f, 0.012810f, 0.013786f, 0.014648f, 0.015717f, 0.016891f, 0.017929f,
		0.019150f, 0.020401f, 0.021606f, 0.023193f, 0.024597f, 0.026276f, 0.027939f, 0.029770f, 0.031738f, 0.033936f, 0.036194f, 0.038574f,
		0.041107f, 0.043945f, 0.047180f, 0.050385f, 0.054291f, 0.057770f, 0.061981f, 0.066345f, 0.071167f, 0.076355f, 0.082153f, 0.088074f,
		0.094666f, 0.101685f, 0.109131f, 0.117249f, 0.125610f, 0.134399f, 0.143921f, 0.154175f, 0.164795f, 0.175659f, 0.187256f, 0.199341f,
		0.211670f, 0.225464f, 0.580078f, 0.617676f, 0.625000f, 0.627930f, 0.628906f, 0.628906f, 0.000657f, 0.001829f, 0.002909f, 0.003525f,
		0.004295f, 0.005051f, 0.005592f, 0.006123f, 0.006920f, 0.007553f, 0.008339f, 0.008888f, 0.009689f, 0.010262f, 0.011017f, 0.011848f,
		0.012634f, 0.013489f, 0.014572f, 0.015427f, 0.016449f, 0.017426f, 0.018539f, 0.019852f, 0.021133f, 0.022507f, 0.023834f, 0.025375f,
		0.027084f, 0.028976f, 0.030792f, 0.032959f, 0.035400f, 0.037720f, 0.040405f, 0.043243f, 0.046356f, 0.049530f, 0.053314f, 0.057190f,
		0.061554f, 0.066223f, 0.071472f, 0.076782f, 0.082825f, 0.089417f, 0.096191f, 0.103210f, 0.111633f, 0.119934f, 0.128662f, 0.138550f,
		0.148315f, 0.158813f, 0.170288f, 0.182373f, 0.194458f, 0.207642f, 0.567383f, 0.606445f, 0.615234f, 0.619141f, 0.620117f, 0.620117f,
		0.000584f, 0.001548f, 0.002333f, 0.003086f, 0.003660f, 0.004303f, 0.005020f, 0.005543f, 0.006042f, 0.006538f, 0.007118f, 0.007641f,
		0.008301f, 0.008919f, 0.009499f, 0.010147f, 0.010918f, 0.011414f, 0.012222f, 0.013084f, 0.013901f, 0.014954f, 0.015671f, 0.016724f,
		0.017914f, 0.019012f, 0.020325f, 0.021698f, 0.022949f, 0.024445f, 0.026215f, 0.027954f, 0.029755f, 0.032043f, 0.034210f, 0.036591f,
		0.039215f, 0.042297f, 0.045441f, 0.048676f, 0.052612f, 0.056580f, 0.061432f, 0.066040f, 0.071350f, 0.077332f, 0.083496f, 0.090393f,
		0.097717f, 0.105835f, 0.114380f, 0.123413f, 0.133301f, 0.143066f, 0.153931f, 0.165039f, 0.177124f, 0.190308f, 0.555176f, 0.597656f,
		0.604980f, 0.609375f, 0.609863f, 0.611328f, 0.000438f, 0.001456f, 0.001925f, 0.002811f, 0.003246f, 0.003731f, 0.004108f, 0.004669f,
		0.005344f, 0.005535f, 0.005913f, 0.006641f, 0.007038f, 0.007473f, 0.008049f, 0.008675f, 0.009361f, 0.009689f, 0.010513f, 0.011032f,
		0.011894f, 0.012695f, 0.013390f, 0.014183f, 0.015114f, 0.016037f, 0.016998f, 0.018280f, 0.019272f, 0.020645f, 0.022003f, 0.023361f,
		0.024796f, 0.026779f, 0.028656f, 0.030685f, 0.032928f, 0.035370f, 0.038147f, 0.040955f, 0.044403f, 0.047821f, 0.052032f, 0.056183f,
		0.060974f, 0.066162f, 0.071777f, 0.078125f, 0.084656f, 0.092102f, 0.100159f, 0.109009f, 0.117981f, 0.127563f, 0.138306f, 0.148804f,
		0.160645f, 0.173218f, 0.542969f, 0.586914f, 0.594727f, 0.599609f, 0.601074f, 0.601074f, 0.000520f, 0.001104f, 0.001921f, 0.002256f,
		0.002886f, 0.003389f, 0.003689f, 0.004063f, 0.004440f, 0.004829f, 0.005230f, 0.005466f, 0.005966f, 0.006332f, 0.006786f, 0.007347f,
		0.007835f, 0.008232f, 0.008812f, 0.009216f, 0.009865f, 0.010490f, 0.011124f, 0.011803f, 0.012573f, 0.013390f, 0.014275f, 0.015121f,
		0.016144f, 0.016953f, 0.018234f, 0.019257f, 0.020782f, 0.022064f, 0.023743f, 0.025360f, 0.027176f, 0.029327f, 0.031616f, 0.034058f,
		0.036957f, 0.039917f, 0.043182f, 0.047272f, 0.051025f, 0.055695f, 0.060913f, 0.066345f, 0.072693f, 0.079285f, 0.086548f, 0.094543f,
		0.103271f, 0.112793f, 0.122864f, 0.132812f, 0.144531f, 0.156616f, 0.530273f, 0.576660f, 0.585449f, 0.590332f, 0.592285f, 0.593262f,
		0.000366f, 0.001040f, 0.001583f, 0.002129f, 0.002522f, 0.002792f, 0.003012f, 0.003420f, 0.003630f, 0.003967f, 0.004246f, 0.004623f,
		0.005039f, 0.005253f, 0.005627f, 0.006096f, 0.006447f, 0.006939f, 0.007179f, 0.007710f, 0.008324f, 0.008698f, 0.009247f, 0.009796f,
		0.010414f, 0.011063f, 0.011627f, 0.012543f, 0.013191f, 0.014099f, 0.014938f, 0.015930f, 0.016983f, 0.018219f, 0.019440f, 0.020813f,
		0.022324f, 0.024002f, 0.025818f, 0.027969f, 0.030289f, 0.032898f, 0.035583f, 0.038727f, 0.042450f, 0.046234f, 0.050781f, 0.055695f,
		0.061157f, 0.067383f, 0.074158f, 0.081360f, 0.089478f, 0.098267f, 0.107788f, 0.117737f, 0.129028f, 0.140503f, 0.517578f, 0.566406f,
		0.575195f, 0.581055f, 0.582520f, 0.584473f, 0.000482f, 0.001008f, 0.001481f, 0.001818f, 0.002001f, 0.002296f, 0.002569f, 0.002781f,
		0.002998f, 0.003319f, 0.003620f, 0.003828f, 0.004082f, 0.004364f, 0.004658f, 0.004978f, 0.005257f, 0.005665f, 0.005993f, 0.006340f,
		0.006725f, 0.007160f, 0.007576f, 0.008095f, 0.008522f, 0.008980f, 0.009621f, 0.010170f, 0.010765f, 0.011543f, 0.012161f, 0.013023f,
		0.013840f, 0.014801f, 0.015869f, 0.016861f, 0.018127f, 0.019379f, 0.020859f, 0.022583f, 0.024261f, 0.026596f, 0.028839f, 0.031555f,
		0.034271f, 0.037628f, 0.041504f, 0.045837f, 0.050598f, 0.056000f, 0.062134f, 0.068726f, 0.076172f, 0.084656f, 0.093567f, 0.103088f,
		0.113586f, 0.125000f, 0.504883f, 0.554688f, 0.565918f, 0.570801f, 0.573242f, 0.574219f, 0.000400f, 0.000803f, 0.001046f, 0.001427f,
		0.001657f, 0.001952f, 0.002033f, 0.002337f, 0.002453f, 0.002678f, 0.002871f, 0.003120f, 0.003286f, 0.003605f, 0.003817f, 0.004036f,
		0.004299f, 0.004604f, 0.004848f, 0.005142f, 0.005428f, 0.005871f, 0.006107f, 0.006584f, 0.006908f, 0.007332f, 0.007736f, 0.008186f,
		0.008820f, 0.009308f, 0.009964f, 0.010422f, 0.011200f, 0.011993f, 0.012726f, 0.013512f, 0.014511f, 0.015610f, 0.016724f, 0.017914f,
		0.019440f, 0.021057f, 0.022827f, 0.024933f, 0.027466f, 0.030197f, 0.033295f, 0.036896f, 0.041077f, 0.045776f, 0.050995f, 0.056976f,
		0.063721f, 0.071167f, 0.079773f, 0.089172f, 0.098633f, 0.109314f, 0.491699f, 0.543457f, 0.555176f, 0.561035f, 0.563477f, 0.565430f,
		0.000279f, 0.000821f, 0.000974f, 0.001161f, 0.001382f, 0.001583f, 0.001670f, 0.001934f, 0.002064f, 0.002153f, 0.002306f, 0.002544f,
		0.002670f, 0.002909f, 0.003052f, 0.003288f, 0.003429f, 0.003624f, 0.003893f, 0.004082f, 0.004406f, 0.004635f, 0.004925f, 0.005196f,
		0.005444f, 0.005764f, 0.006134f, 0.006546f, 0.006947f, 0.007343f, 0.007858f, 0.008270f, 0.008858f, 0.009346f, 0.010010f, 0.010757f,
		0.011475f, 0.012260f, 0.013206f, 0.014214f, 0.015236f, 0.016479f, 0.017975f, 0.019623f, 0.021515f, 0.023590f, 0.026062f, 0.028976f,
		0.032471f, 0.036224f, 0.040833f, 0.046082f, 0.052094f, 0.059052f, 0.066650f, 0.075684f, 0.084778f, 0.094971f, 0.479492f, 0.532715f,
		0.545898f, 0.551270f, 0.553711f, 0.555664f, 0.000253f, 0.000612f, 0.000835f, 0.000998f, 0.001111f, 0.001228f, 0.001334f, 0.001452f,
		0.001619f, 0.001757f, 0.001837f, 0.001920f, 0.002140f, 0.002321f, 0.002453f, 0.002544f, 0.002670f, 0.002790f, 0.003086f, 0.003260f,
		0.003422f, 0.003620f, 0.003893f, 0.004101f, 0.004326f, 0.004528f, 0.004761f, 0.005051f, 0.005444f, 0.005756f, 0.006065f, 0.006435f,
		0.006882f, 0.007378f, 0.007763f, 0.008286f, 0.008865f, 0.009506f, 0.010162f, 0.011024f, 0.011826f, 0.012917f, 0.013916f, 0.015175f,
		0.016602f, 0.018204f, 0.020035f, 0.022293f, 0.024948f, 0.028076f, 0.031921f, 0.036377f, 0.041565f, 0.047577f, 0.054535f, 0.062622f,
		0.071777f, 0.081787f, 0.465576f, 0.522461f, 0.535645f, 0.541992f, 0.544922f, 0.546875f, 0.000155f, 0.000398f, 0.000680f, 0.000828f,
		0.000907f, 0.000989f, 0.001113f, 0.001081f, 0.001253f, 0.001350f, 0.001453f, 0.001573f, 0.001661f, 0.001777f, 0.001829f, 0.001978f,
		0.002062f, 0.002216f, 0.002346f, 0.002470f, 0.002644f, 0.002804f, 0.002930f, 0.003134f, 0.003265f, 0.003485f, 0.003674f, 0.003866f,
		0.004154f, 0.004333f, 0.004707f, 0.004910f, 0.005180f, 0.005581f, 0.005875f, 0.006283f, 0.006729f, 0.007164f, 0.007713f, 0.008270f,
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		0.032104f, 0.037201f, 0.043518f, 0.050903f, 0.059418f, 0.068420f, 0.453125f, 0.511719f, 0.525391f, 0.530762f, 0.535156f, 0.536621f,
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		0.149658f, 0.162598f, 0.175293f, 0.188477f, 0.202148f, 0.216431f, 0.229858f, 0.242798f, 0.256104f, 0.270264f, 0.284668f, 0.298828f,
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		0.482666f, 0.497070f, 0.512207f, 0.525391f, 0.540527f, 0.555176f, 0.567871f, 0.582031f, 0.596191f, 0.610840f, 0.625488f, 0.639648f,
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		0.598145f, 0.611816f, 0.626465f, 0.639648f, 0.654297f, 0.668457f, 0.683594f, 0.697754f, 0.711914f, 0.726562f, 0.849609f, 0.838867f,
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		0.693848f, 0.708008f, 0.840820f, 0.831055f, 0.819336f, 0.809570f, 0.801270f, 0.792969f, 0.004013f, 0.012070f, 0.019989f, 0.029190f,
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		0.003790f, 0.011559f, 0.019119f, 0.027069f, 0.035034f, 0.043762f, 0.052032f, 0.060059f, 0.069153f, 0.078369f, 0.087280f, 0.096741f,
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		0.129761f, 0.138916f, 0.148804f, 0.158447f, 0.167725f, 0.177979f, 0.188965f, 0.198608f, 0.209473f, 0.220215f, 0.231567f, 0.242554f,
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		0.087952f, 0.096680f, 0.104858f, 0.113281f, 0.122070f, 0.130493f, 0.139771f, 0.148926f, 0.158447f, 0.168335f, 0.177612f, 0.187500f,
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		0.149170f, 0.157959f, 0.167480f, 0.177124f, 0.186768f, 0.196411f, 0.206543f, 0.216919f, 0.227539f, 0.237671f, 0.248413f, 0.259277f,
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		0.415039f, 0.428223f, 0.441406f, 0.454834f, 0.468506f, 0.481689f, 0.494873f, 0.509277f, 0.523438f, 0.537598f, 0.551758f, 0.565918f,
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		0.025772f, 0.032074f, 0.037933f, 0.044128f, 0.050903f, 0.057159f, 0.064026f, 0.070496f, 0.077698f, 0.085022f, 0.091919f, 0.099426f,
		0.107727f, 0.114990f, 0.123169f, 0.131226f, 0.140015f, 0.148682f, 0.157349f, 0.166260f, 0.175171f, 0.184692f, 0.194214f, 0.203979f,
		0.214355f, 0.224487f, 0.234985f, 0.245728f, 0.256104f, 0.267334f, 0.278320f, 0.288818f, 0.301025f, 0.312256f, 0.324219f, 0.335938f,
		0.347900f, 0.360596f, 0.372070f, 0.384521f, 0.397217f, 0.410400f, 0.423340f, 0.436279f, 0.449463f, 0.463135f, 0.476807f, 0.490723f,
		0.503906f, 0.517578f, 0.532227f, 0.546875f, 0.561035f, 0.575684f, 0.773926f, 0.775391f, 0.769043f, 0.763672f, 0.757812f, 0.751953f,
		0.002506f, 0.008080f, 0.013100f, 0.018738f, 0.024384f, 0.029953f, 0.035797f, 0.041473f, 0.047485f, 0.053558f, 0.059265f, 0.065918f,
		0.072693f, 0.079468f, 0.086426f, 0.093384f, 0.100708f, 0.108032f, 0.115417f, 0.122986f, 0.130615f, 0.139038f, 0.147827f, 0.156494f,
		0.165039f, 0.173828f, 0.182617f, 0.192139f, 0.201782f, 0.211426f, 0.221558f, 0.231323f, 0.242188f, 0.252686f, 0.263672f, 0.274414f,
		0.284912f, 0.296143f, 0.308105f, 0.319824f, 0.331543f, 0.343750f, 0.355225f, 0.367432f, 0.379883f, 0.393066f, 0.405273f, 0.418457f,
		0.431641f, 0.444580f, 0.457764f, 0.471924f, 0.485840f, 0.499268f, 0.512695f, 0.527344f, 0.542480f, 0.556641f, 0.764160f, 0.766602f,
		0.761719f, 0.756348f, 0.750488f, 0.745605f, 0.002640f, 0.007809f, 0.012497f, 0.017593f, 0.023102f, 0.028122f, 0.033569f, 0.038879f,
		0.044250f, 0.049988f, 0.055908f, 0.061615f, 0.067627f, 0.074036f, 0.080566f, 0.087524f, 0.093262f, 0.100769f, 0.107910f, 0.114929f,
		0.121948f, 0.130371f, 0.137939f, 0.146362f, 0.154297f, 0.163208f, 0.171509f, 0.180664f, 0.189697f, 0.199341f, 0.208618f, 0.218506f,
		0.228394f, 0.238892f, 0.248779f, 0.259277f, 0.270752f, 0.281250f, 0.292236f, 0.303467f, 0.315186f, 0.326660f, 0.338867f, 0.351074f,
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		0.000711f, 0.001649f, 0.002529f, 0.003332f, 0.004036f, 0.004799f, 0.005444f, 0.006050f, 0.006638f, 0.007160f, 0.007771f, 0.008331f,
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		0.092957f, 0.099915f, 0.107361f, 0.114929f, 0.123535f, 0.131714f, 0.140747f, 0.150513f, 0.160767f, 0.171265f, 0.527832f, 0.572754f,
		0.581543f, 0.583496f, 0.586426f, 0.587402f, 0.000504f, 0.001575f, 0.002235f, 0.003147f, 0.003641f, 0.004150f, 0.004570f, 0.005173f,
		0.005863f, 0.006016f, 0.006462f, 0.007111f, 0.007660f, 0.008156f, 0.008736f, 0.009354f, 0.010094f, 0.010475f, 0.011253f, 0.011879f,
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		0.059540f, 0.064331f, 0.069580f, 0.075073f, 0.080750f, 0.087341f, 0.094116f, 0.101379f, 0.109558f, 0.117676f, 0.126221f, 0.135376f,
		0.145874f, 0.155518f, 0.516113f, 0.562012f, 0.571777f, 0.576172f, 0.578125f, 0.579102f, 0.000445f, 0.001304f, 0.002201f, 0.002535f,
		0.003126f, 0.003664f, 0.004047f, 0.004463f, 0.004887f, 0.005234f, 0.005711f, 0.005997f, 0.006500f, 0.006901f, 0.007389f, 0.007904f,
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		0.095825f, 0.103516f, 0.112000f, 0.120850f, 0.130005f, 0.140381f, 0.502441f, 0.551758f, 0.562012f, 0.566406f, 0.568848f, 0.571289f,
		0.000396f, 0.001226f, 0.001812f, 0.002357f, 0.002796f, 0.003094f, 0.003328f, 0.003763f, 0.003979f, 0.004364f, 0.004642f, 0.005051f,
		0.005489f, 0.005745f, 0.006126f, 0.006611f, 0.007004f, 0.007473f, 0.007771f, 0.008293f, 0.008919f, 0.009392f, 0.009941f, 0.010483f,
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		0.014595f, 0.015549f, 0.016525f, 0.017563f, 0.018799f, 0.020111f, 0.021484f, 0.023087f, 0.024765f, 0.026840f, 0.028992f, 0.031403f,
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		0.019882f, 0.021454f, 0.023132f, 0.025146f, 0.027405f, 0.029877f, 0.032745f, 0.035919f, 0.039642f, 0.043823f, 0.048492f, 0.053619f,
		0.059235f, 0.065735f, 0.072693f, 0.080383f, 0.088867f, 0.097412f, 0.466309f, 0.520508f, 0.533691f, 0.539062f, 0.542480f, 0.543945f,
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		0.003868f, 0.011368f, 0.019257f, 0.027512f, 0.035431f, 0.043274f, 0.051880f, 0.060852f, 0.069214f, 0.078003f, 0.087524f, 0.096924f,
		0.105896f, 0.115112f, 0.124817f, 0.134766f, 0.144409f, 0.154663f, 0.164673f, 0.175415f, 0.184814f, 0.196289f, 0.206299f, 0.216797f,
		0.228394f, 0.239380f, 0.250244f, 0.260986f, 0.273193f, 0.284424f, 0.295410f, 0.307373f, 0.319092f, 0.331299f, 0.342285f, 0.354248f,
		0.366455f, 0.378662f, 0.390869f, 0.403809f, 0.415771f, 0.427734f, 0.440430f, 0.453369f, 0.466309f, 0.479736f, 0.492188f, 0.504883f,
		0.518066f, 0.531250f, 0.544922f, 0.558105f, 0.571777f, 0.584473f, 0.598633f, 0.612305f, 0.626465f, 0.641602f, 0.801758f, 0.792480f,
		0.781738f, 0.770508f, 0.761230f, 0.753906f, 0.003616f, 0.010872f, 0.018387f, 0.026077f, 0.033875f, 0.041351f, 0.049591f, 0.057434f,
		0.065674f, 0.073669f, 0.082153f, 0.091064f, 0.100098f, 0.109009f, 0.117981f, 0.127563f, 0.137207f, 0.146362f, 0.156494f, 0.165894f,
		0.176025f, 0.186157f, 0.196655f, 0.206421f, 0.216919f, 0.227539f, 0.237915f, 0.249268f, 0.260254f, 0.270752f, 0.282471f, 0.293945f,
		0.305176f, 0.316406f, 0.328125f, 0.338867f, 0.350342f, 0.361816f, 0.375244f, 0.387207f, 0.398926f, 0.411133f, 0.423584f, 0.436523f,
		0.448730f, 0.461182f, 0.474121f, 0.485840f, 0.499756f, 0.513672f, 0.525391f, 0.539062f, 0.552734f, 0.565918f, 0.580566f, 0.593750f,
		0.608398f, 0.621094f, 0.790527f, 0.783691f, 0.773926f, 0.764160f, 0.755859f, 0.747559f, 0.003450f, 0.010429f, 0.017487f, 0.024445f,
		0.031860f, 0.039581f, 0.046631f, 0.054718f, 0.061951f, 0.070251f, 0.078003f, 0.086121f, 0.094910f, 0.102905f, 0.111572f, 0.120300f,
		0.129761f, 0.138428f, 0.147217f, 0.156982f, 0.166992f, 0.176147f, 0.186157f, 0.196045f, 0.206299f, 0.216187f, 0.226318f, 0.236938f,
		0.247437f, 0.258301f, 0.268311f, 0.279785f, 0.290527f, 0.301758f, 0.312744f, 0.324219f, 0.335449f, 0.346680f, 0.359131f, 0.370605f,
		0.382812f, 0.394531f, 0.406982f, 0.419189f, 0.430908f, 0.443604f, 0.456055f, 0.468506f, 0.481445f, 0.494873f, 0.506836f, 0.520996f,
		0.534180f, 0.547363f, 0.561035f, 0.573730f, 0.588379f, 0.601074f, 0.780762f, 0.775879f, 0.766602f, 0.757324f, 0.748535f, 0.741699f,
		0.003281f, 0.009811f, 0.016174f, 0.023438f, 0.030060f, 0.037109f, 0.044464f, 0.051239f, 0.058441f, 0.066345f, 0.073792f, 0.081238f,
		0.089539f, 0.097229f, 0.105286f, 0.113647f, 0.122498f, 0.130615f, 0.139526f, 0.148438f, 0.157837f, 0.166626f, 0.176636f, 0.185547f,
		0.195312f, 0.204956f, 0.215088f, 0.224976f, 0.234863f, 0.245239f, 0.255859f, 0.266113f, 0.276367f, 0.287354f, 0.298096f, 0.309326f,
		0.320801f, 0.331787f, 0.343018f, 0.355225f, 0.366211f, 0.378418f, 0.389893f, 0.401611f, 0.413574f, 0.425781f, 0.438721f, 0.451416f,
		0.463135f, 0.476074f, 0.489014f, 0.501465f, 0.514648f, 0.528809f, 0.541992f, 0.554688f, 0.568848f, 0.582520f, 0.770508f, 0.767090f,
		0.758789f, 0.750488f, 0.743164f, 0.735352f, 0.002901f, 0.009422f, 0.015488f, 0.021729f, 0.028290f, 0.035278f, 0.041321f, 0.048523f,
		0.055420f, 0.062195f, 0.069336f, 0.076477f, 0.084412f, 0.091858f, 0.099609f, 0.107361f, 0.115112f, 0.123535f, 0.131592f, 0.140137f,
		0.148438f, 0.157715f, 0.166382f, 0.174927f, 0.184692f, 0.193970f, 0.203369f, 0.212646f, 0.222656f, 0.232910f, 0.242920f, 0.252197f,
		0.263184f, 0.273438f, 0.284180f, 0.294922f, 0.305664f, 0.316895f, 0.327881f, 0.338867f, 0.349854f, 0.361328f, 0.373291f, 0.385254f,
		0.397461f, 0.408691f, 0.420898f, 0.433350f, 0.445801f, 0.458252f, 0.470703f, 0.483154f, 0.496826f, 0.510254f, 0.522461f, 0.535645f,
		0.549805f, 0.562988f, 0.760742f, 0.758789f, 0.750488f, 0.743652f, 0.736328f, 0.729492f, 0.002861f, 0.008606f, 0.014488f, 0.021057f,
		0.026810f, 0.032898f, 0.038879f, 0.045532f, 0.051666f, 0.058319f, 0.065125f, 0.072449f, 0.079224f, 0.086426f, 0.093689f, 0.100830f,
		0.108276f, 0.116089f, 0.123962f, 0.131958f, 0.140625f, 0.148560f, 0.156494f, 0.164795f, 0.174194f, 0.183228f, 0.192017f, 0.201294f,
		0.210815f, 0.220093f, 0.229858f, 0.239746f, 0.249390f, 0.260010f, 0.270508f, 0.280518f, 0.290771f, 0.301758f, 0.312744f, 0.323486f,
		0.334473f, 0.345215f, 0.356934f, 0.368408f, 0.379883f, 0.391846f, 0.403564f, 0.416016f, 0.427490f, 0.439453f, 0.452881f, 0.465332f,
		0.478271f, 0.490234f, 0.503906f, 0.517090f, 0.529785f, 0.543945f, 0.750000f, 0.750000f, 0.743164f, 0.736328f, 0.729492f, 0.723145f,
		0.002977f, 0.008492f, 0.013931f, 0.019745f, 0.024948f, 0.030991f, 0.036804f, 0.042755f, 0.048889f, 0.055267f, 0.061737f, 0.067932f,
		0.074829f, 0.081116f, 0.087646f, 0.095215f, 0.102356f, 0.109436f, 0.116760f, 0.124023f, 0.131714f, 0.139648f, 0.147461f, 0.155762f,
		0.164185f, 0.172485f, 0.181152f, 0.189697f, 0.198730f, 0.208130f, 0.217285f, 0.226685f, 0.236572f, 0.245850f, 0.255859f, 0.265869f,
		0.276367f, 0.286377f, 0.297607f, 0.307861f, 0.318359f, 0.329102f, 0.340576f, 0.351807f, 0.363281f, 0.374023f, 0.386230f, 0.397949f,
		0.409668f, 0.422119f, 0.434082f, 0.446777f, 0.459229f, 0.471924f, 0.484863f, 0.497803f, 0.511230f, 0.525391f, 0.739746f, 0.741211f,
		0.735352f, 0.729004f, 0.722656f, 0.717285f, 0.002441f, 0.007896f, 0.013443f, 0.018402f, 0.023911f, 0.029343f, 0.034454f, 0.040375f,
		0.045868f, 0.051453f, 0.057800f, 0.063721f, 0.070068f, 0.075928f, 0.082520f, 0.089233f, 0.095703f, 0.102478f, 0.109314f, 0.116638f,
		0.123596f, 0.131348f, 0.138550f, 0.145996f, 0.153809f, 0.162109f, 0.170044f, 0.179199f, 0.187866f, 0.196045f, 0.205078f, 0.213745f,
		0.223389f, 0.233032f, 0.242554f, 0.252197f, 0.261963f, 0.271973f, 0.281982f, 0.292236f, 0.303223f, 0.312988f, 0.324463f, 0.335693f,
		0.346191f, 0.357910f, 0.368652f, 0.380371f, 0.391846f, 0.404541f, 0.415527f, 0.428467f, 0.440674f, 0.453369f, 0.466553f, 0.479248f,
		0.491455f, 0.505371f, 0.729492f, 0.732422f, 0.727539f, 0.721191f, 0.716309f, 0.709961f, 0.002457f, 0.007553f, 0.012489f, 0.017548f,
		0.022217f, 0.027405f, 0.032471f, 0.037689f, 0.043060f, 0.048553f, 0.054230f, 0.059631f, 0.065369f, 0.071533f, 0.077393f, 0.083069f,
		0.089417f, 0.096069f, 0.102356f, 0.108398f, 0.115417f, 0.122925f, 0.130127f, 0.137451f, 0.144531f, 0.152100f, 0.160156f, 0.168091f,
		0.176514f, 0.184570f, 0.192871f, 0.201660f, 0.210571f, 0.219238f, 0.229126f, 0.238281f, 0.248413f, 0.257812f, 0.267578f, 0.277588f,
		0.287354f, 0.298096f, 0.308594f, 0.319336f, 0.329590f, 0.340820f, 0.351318f, 0.363770f, 0.375732f, 0.386963f, 0.397949f, 0.409912f,
		0.422363f, 0.434326f, 0.446533f, 0.459473f, 0.473145f, 0.486084f, 0.718750f, 0.723633f, 0.719727f, 0.713867f, 0.708984f, 0.703613f,
		0.002436f, 0.006939f, 0.011612f, 0.016113f, 0.021072f, 0.025497f, 0.030640f, 0.035339f, 0.040222f, 0.045441f, 0.050690f, 0.055725f,
		0.060669f, 0.066589f, 0.072144f, 0.077881f, 0.083740f, 0.089294f, 0.095215f, 0.101501f, 0.108032f, 0.114868f, 0.121643f, 0.128052f,
		0.135010f, 0.142334f, 0.150024f, 0.157349f, 0.164917f, 0.173340f, 0.181274f, 0.189697f, 0.198120f, 0.206909f, 0.215698f, 0.224365f,
		0.234497f, 0.243652f, 0.252930f, 0.262695f, 0.272461f, 0.282471f, 0.292480f, 0.302979f, 0.313721f, 0.324463f, 0.335205f, 0.346436f,
		0.357666f, 0.369141f, 0.380859f, 0.391602f, 0.404541f, 0.416016f, 0.428467f, 0.440918f, 0.454102f, 0.466553f, 0.708496f, 0.715820f,
		0.711426f, 0.706055f, 0.701660f, 0.696777f, 0.002188f, 0.006599f, 0.011032f, 0.015068f, 0.019897f, 0.024048f, 0.028656f, 0.033264f,
		0.037720f, 0.042236f, 0.047028f, 0.051941f, 0.056824f, 0.062012f, 0.067444f, 0.072449f, 0.077942f, 0.083374f, 0.088867f, 0.094727f,
		0.100769f, 0.106750f, 0.112732f, 0.119263f, 0.126099f, 0.133179f, 0.139648f, 0.146729f, 0.154175f, 0.161987f, 0.170044f, 0.177612f,
		0.185791f, 0.194214f, 0.203125f, 0.211670f, 0.220581f, 0.229370f, 0.238770f, 0.248047f, 0.257812f, 0.267822f, 0.277344f, 0.287109f,
		0.297363f, 0.307861f, 0.318848f, 0.329590f, 0.341064f, 0.351562f, 0.363037f, 0.374512f, 0.385498f, 0.397461f, 0.409668f, 0.422363f,
		0.434326f, 0.447021f, 0.697266f, 0.706543f, 0.703125f, 0.698730f, 0.694336f, 0.689941f, 0.002024f, 0.006165f, 0.010399f, 0.014481f,
		0.018555f, 0.022797f, 0.026627f, 0.030869f, 0.035187f, 0.039459f, 0.043732f, 0.047943f, 0.052917f, 0.057434f, 0.062622f, 0.067261f,
		0.071838f, 0.077454f, 0.082581f, 0.087891f, 0.093628f, 0.099182f, 0.105469f, 0.111206f, 0.117126f, 0.123779f, 0.130371f, 0.137085f,
		0.143921f, 0.151001f, 0.158691f, 0.166016f, 0.173950f, 0.181641f, 0.190063f, 0.198120f, 0.206909f, 0.215698f, 0.224976f, 0.233398f,
		0.242798f, 0.252197f, 0.262207f, 0.271973f, 0.281738f, 0.291992f, 0.302734f, 0.313477f, 0.323242f, 0.334229f, 0.345459f, 0.355957f,
		0.368652f, 0.380615f, 0.391602f, 0.403809f, 0.415771f, 0.428467f, 0.686523f, 0.696777f, 0.695312f, 0.691895f, 0.687500f, 0.683105f,
		0.001931f, 0.005970f, 0.009651f, 0.013557f, 0.017136f, 0.021088f, 0.024902f, 0.028748f, 0.032623f, 0.036743f, 0.040833f, 0.044983f,
		0.049591f, 0.053467f, 0.057800f, 0.062500f, 0.066833f, 0.071533f, 0.076538f, 0.081238f, 0.086670f, 0.092224f, 0.097290f, 0.103088f,
		0.108887f, 0.114990f, 0.120972f, 0.127197f, 0.134277f, 0.140503f, 0.147705f, 0.154663f, 0.162231f, 0.169922f, 0.177612f, 0.185303f,
		0.193604f, 0.201904f, 0.210815f, 0.219238f, 0.228516f, 0.237427f, 0.247070f, 0.256592f, 0.265869f, 0.275879f, 0.285645f, 0.295898f,
		0.306396f, 0.317139f, 0.328369f, 0.338623f, 0.350342f, 0.362305f, 0.374023f, 0.385010f, 0.397461f, 0.410156f, 0.675781f, 0.687988f,
		0.687012f, 0.683594f, 0.680664f, 0.676270f, 0.001725f, 0.005436f, 0.009171f, 0.012589f, 0.016190f, 0.019485f, 0.023132f, 0.026978f,
		0.030899f, 0.034180f, 0.037659f, 0.041565f, 0.045074f, 0.049438f, 0.053345f, 0.057739f, 0.061768f, 0.065918f, 0.070679f, 0.075073f,
		0.080078f, 0.084656f, 0.089966f, 0.095215f, 0.100464f, 0.106445f, 0.112000f, 0.117615f, 0.124207f, 0.130737f, 0.136719f, 0.144043f,
		0.151123f, 0.158081f, 0.165405f, 0.173096f, 0.181152f, 0.189087f, 0.197510f, 0.205688f, 0.214600f, 0.223145f, 0.232178f, 0.241699f,
		0.250732f, 0.260254f, 0.270264f, 0.279785f, 0.289795f, 0.300293f, 0.310791f, 0.322510f, 0.333496f, 0.344238f, 0.355713f, 0.367188f,
		0.379395f, 0.392090f, 0.664551f, 0.678711f, 0.678223f, 0.675781f, 0.672852f, 0.669922f, 0.001741f, 0.005077f, 0.008522f, 0.011810f,
		0.014946f, 0.018524f, 0.021332f, 0.024872f, 0.028519f, 0.031799f, 0.034973f, 0.038727f, 0.041992f, 0.045654f, 0.049072f, 0.052856f,
		0.056671f, 0.060638f, 0.064819f, 0.069092f, 0.073425f, 0.078125f, 0.082886f, 0.087280f, 0.092651f, 0.098206f, 0.103638f, 0.109192f,
		0.114563f, 0.120667f, 0.126709f, 0.133057f, 0.139771f, 0.146851f, 0.153931f, 0.160767f, 0.168457f, 0.175903f, 0.183838f, 0.192505f,
		0.200195f, 0.208618f, 0.217407f, 0.226562f, 0.236084f, 0.245239f, 0.254639f, 0.263672f, 0.273926f, 0.283447f, 0.294189f, 0.304932f,
		0.315674f, 0.326172f, 0.337402f, 0.348877f, 0.360107f, 0.373291f, 0.653809f, 0.670410f, 0.669922f, 0.667480f, 0.665527f, 0.662109f,
		0.001639f, 0.004951f, 0.007996f, 0.010857f, 0.013779f, 0.016968f, 0.019974f, 0.023392f, 0.026001f, 0.029373f, 0.032013f, 0.035370f,
		0.038513f, 0.041992f, 0.044586f, 0.048706f, 0.052124f, 0.055634f, 0.059723f, 0.063354f, 0.067444f, 0.071289f, 0.075745f, 0.080444f,
		0.085022f, 0.089722f, 0.095032f, 0.100220f, 0.105347f, 0.111206f, 0.117126f, 0.123108f, 0.129395f, 0.135620f, 0.142090f, 0.148682f,
		0.156372f, 0.163574f, 0.170898f, 0.178711f, 0.186890f, 0.194580f, 0.203613f, 0.211426f, 0.220459f, 0.229492f, 0.238281f, 0.248169f,
		0.257324f, 0.267578f, 0.277832f, 0.287354f, 0.298340f, 0.308350f, 0.319824f, 0.331543f, 0.342041f, 0.354248f, 0.641602f, 0.660645f,
		0.662109f, 0.660645f, 0.658203f, 0.654785f, 0.001569f, 0.004539f, 0.007538f, 0.010368f, 0.013359f, 0.016006f, 0.018539f, 0.021210f,
		0.024384f, 0.026855f, 0.029892f, 0.032471f, 0.035034f, 0.038177f, 0.041199f, 0.044434f, 0.047485f, 0.050781f, 0.054321f, 0.057953f,
		0.061523f, 0.065430f, 0.069275f, 0.073547f, 0.077820f, 0.082092f, 0.086731f, 0.091736f, 0.096985f, 0.101990f, 0.107361f, 0.112549f,
		0.118774f, 0.124878f, 0.131104f, 0.137573f, 0.144409f, 0.150635f, 0.157837f, 0.165283f, 0.173340f, 0.181274f, 0.188599f, 0.197510f,
		0.205933f, 0.214600f, 0.223633f, 0.232056f, 0.241577f, 0.251709f, 0.261230f, 0.270996f, 0.281250f, 0.291260f, 0.302246f, 0.313477f,
		0.323730f, 0.336182f, 0.630859f, 0.651855f, 0.652832f, 0.652344f, 0.650391f, 0.647461f, 0.001558f, 0.004139f, 0.007103f, 0.009560f,
		0.012077f, 0.014313f, 0.016983f, 0.019653f, 0.021988f, 0.024490f, 0.027023f, 0.029526f, 0.031891f, 0.034821f, 0.037903f, 0.040192f,
		0.043457f, 0.046417f, 0.049316f, 0.052795f, 0.055725f, 0.059357f, 0.063354f, 0.066895f, 0.070740f, 0.074890f, 0.078979f, 0.083801f,
		0.088440f, 0.093018f, 0.097961f, 0.103394f, 0.108704f, 0.114563f, 0.120239f, 0.126343f, 0.132690f, 0.139038f, 0.145874f, 0.152710f,
		0.159912f, 0.168091f, 0.175537f, 0.183228f, 0.191650f, 0.199707f, 0.208130f, 0.216797f, 0.226074f, 0.235352f, 0.244507f, 0.254395f,
		0.264404f, 0.274414f, 0.285156f, 0.296631f, 0.307373f, 0.318604f, 0.619141f, 0.643066f, 0.644531f, 0.644043f, 0.642578f, 0.639648f,
		0.001314f, 0.004002f, 0.006603f, 0.009056f, 0.011490f, 0.013184f, 0.015587f, 0.017883f, 0.020157f, 0.022415f, 0.024582f, 0.027206f,
		0.029160f, 0.031677f, 0.034088f, 0.036530f, 0.039337f, 0.042206f, 0.044891f, 0.047729f, 0.050751f, 0.053955f, 0.057312f, 0.060486f,
		0.064148f, 0.068054f, 0.071960f, 0.075867f, 0.079895f, 0.084595f, 0.089172f, 0.094238f, 0.098999f, 0.104492f, 0.109802f, 0.115173f,
		0.121338f, 0.127686f, 0.134033f, 0.140991f, 0.147095f, 0.154541f, 0.161865f, 0.169800f, 0.177368f, 0.185547f, 0.193848f, 0.201904f,
		0.211060f, 0.219116f, 0.229004f, 0.238525f, 0.248047f, 0.257812f, 0.267822f, 0.277832f, 0.289062f, 0.300537f, 0.607910f, 0.633301f,
		0.636230f, 0.635742f, 0.634766f, 0.633301f, 0.001217f, 0.003571f, 0.005947f, 0.008011f, 0.010391f, 0.012207f, 0.014313f, 0.016617f,
		0.018280f, 0.020523f, 0.022537f, 0.024475f, 0.026443f, 0.028778f, 0.030884f, 0.032867f, 0.035553f, 0.037872f, 0.040375f, 0.042938f,
		0.045593f, 0.048431f, 0.051605f, 0.054688f, 0.057953f, 0.061279f, 0.065002f, 0.068665f, 0.072266f, 0.076294f, 0.080872f, 0.085083f,
		0.089783f, 0.094482f, 0.099915f, 0.104736f, 0.110901f, 0.116272f, 0.122314f, 0.128784f, 0.134888f, 0.142090f, 0.148560f, 0.155884f,
		0.163574f, 0.171753f, 0.179077f, 0.187500f, 0.195679f, 0.204346f, 0.213745f, 0.222656f, 0.231812f, 0.241455f, 0.250977f, 0.261230f,
		0.272461f, 0.282959f, 0.596680f, 0.623535f, 0.627441f, 0.627930f, 0.627441f, 0.625000f, 0.001111f, 0.003542f, 0.005569f, 0.007504f,
		0.009338f, 0.011452f, 0.012939f, 0.015030f, 0.016678f, 0.018326f, 0.020203f, 0.022217f, 0.023788f, 0.025604f, 0.027771f, 0.029877f,
		0.031860f, 0.033813f, 0.036102f, 0.038605f, 0.040985f, 0.043579f, 0.046448f, 0.049042f, 0.051849f, 0.055054f, 0.058319f, 0.061615f,
		0.065125f, 0.068909f, 0.072815f, 0.076843f, 0.080872f, 0.085571f, 0.089905f, 0.095398f, 0.100159f, 0.105713f, 0.111206f, 0.116882f,
		0.122925f, 0.129517f, 0.135742f, 0.142822f, 0.149902f, 0.157349f, 0.165161f, 0.172852f, 0.181152f, 0.189331f, 0.198120f, 0.206909f,
		0.215820f, 0.225342f, 0.235474f, 0.245239f, 0.254883f, 0.266602f, 0.584473f, 0.614746f, 0.619141f, 0.619629f, 0.619141f, 0.618164f,
		0.001149f, 0.003147f, 0.004826f, 0.006886f, 0.008629f, 0.010452f, 0.012024f, 0.013359f, 0.015175f, 0.016647f, 0.018143f, 0.019882f,
		0.021332f, 0.023026f, 0.024902f, 0.026550f, 0.028397f, 0.030045f, 0.032318f, 0.034393f, 0.036682f, 0.038910f, 0.041107f, 0.043671f,
		0.046295f, 0.048950f, 0.051819f, 0.054993f, 0.058258f, 0.061523f, 0.065063f, 0.068481f, 0.072510f, 0.076965f, 0.081055f, 0.085510f,
		0.090393f, 0.095093f, 0.100342f, 0.105774f, 0.111694f, 0.117371f, 0.124084f, 0.130371f, 0.136963f, 0.143921f, 0.151245f, 0.159058f,
		0.166626f, 0.174927f, 0.182983f, 0.191650f, 0.200195f, 0.209473f, 0.218750f, 0.228149f, 0.238037f, 0.249146f, 0.572266f, 0.604980f,
		0.609863f, 0.611328f, 0.610352f, 0.611328f, 0.001009f, 0.003059f, 0.004620f, 0.006283f, 0.007881f, 0.009415f, 0.010864f, 0.011940f,
		0.013443f, 0.014847f, 0.016403f, 0.017700f, 0.019012f, 0.020493f, 0.021927f, 0.023697f, 0.025177f, 0.026947f, 0.028732f, 0.030472f,
		0.032654f, 0.034302f, 0.036591f, 0.038757f, 0.041046f, 0.043488f, 0.045837f, 0.048706f, 0.051544f, 0.054810f, 0.057770f, 0.061188f,
		0.064331f, 0.068237f, 0.072083f, 0.076416f, 0.080872f, 0.085388f, 0.090149f, 0.095276f, 0.100403f, 0.105896f, 0.111877f, 0.117798f,
		0.124329f, 0.130859f, 0.138062f, 0.145020f, 0.152710f, 0.160034f, 0.168335f, 0.176514f, 0.185059f, 0.193481f, 0.203125f, 0.212158f,
		0.221924f, 0.232178f, 0.562500f, 0.594727f, 0.601074f, 0.602539f, 0.603516f, 0.602539f, 0.000865f, 0.002674f, 0.004444f, 0.005615f,
		0.007233f, 0.008430f, 0.009827f, 0.010880f, 0.011917f, 0.013206f, 0.014412f, 0.015717f, 0.016876f, 0.018173f, 0.019501f, 0.020950f,
		0.022217f, 0.023773f, 0.025284f, 0.026749f, 0.028610f, 0.030151f, 0.032166f, 0.034149f, 0.036041f, 0.038330f, 0.040558f, 0.042877f,
		0.045532f, 0.048157f, 0.050934f, 0.053894f, 0.056946f, 0.060303f, 0.063843f, 0.067566f, 0.071472f, 0.075806f, 0.080261f, 0.084778f,
		0.089600f, 0.094971f, 0.100220f, 0.105896f, 0.111877f, 0.118103f, 0.125000f, 0.131348f, 0.138550f, 0.146362f, 0.153687f, 0.161987f,
		0.169678f, 0.178223f, 0.187134f, 0.196045f, 0.205811f, 0.215698f, 0.549805f, 0.584961f, 0.592773f, 0.594238f, 0.593750f, 0.595215f,
		0.000951f, 0.002476f, 0.003956f, 0.005062f, 0.006268f, 0.007637f, 0.008888f, 0.009666f, 0.010628f, 0.011810f, 0.012856f, 0.013878f,
		0.014946f, 0.015900f, 0.017227f, 0.018356f, 0.019592f, 0.020889f, 0.022003f, 0.023438f, 0.025101f, 0.026489f, 0.028122f, 0.029739f,
		0.031555f, 0.033295f, 0.035431f, 0.037537f, 0.039795f, 0.041962f, 0.044647f, 0.047302f, 0.049957f, 0.052979f, 0.056122f, 0.059387f,
		0.062927f, 0.066956f, 0.070679f, 0.074951f, 0.079468f, 0.084167f, 0.089294f, 0.094482f, 0.100098f, 0.106018f, 0.112061f, 0.118835f,
		0.125366f, 0.132446f, 0.139893f, 0.147827f, 0.155762f, 0.163574f, 0.172607f, 0.180786f, 0.190063f, 0.199951f, 0.536621f, 0.576172f,
		0.583496f, 0.586914f, 0.587402f, 0.586914f, 0.000788f, 0.002115f, 0.003592f, 0.004780f, 0.005939f, 0.006615f, 0.007740f, 0.008598f,
		0.009514f, 0.010376f, 0.011200f, 0.012138f, 0.013016f, 0.014069f, 0.014977f, 0.015961f, 0.016922f, 0.018036f, 0.019043f, 0.020447f,
		0.021606f, 0.022995f, 0.024323f, 0.025864f, 0.027344f, 0.028946f, 0.030731f, 0.032593f, 0.034515f, 0.036530f, 0.038910f, 0.041016f,
		0.043274f, 0.046021f, 0.048981f, 0.051819f, 0.055176f, 0.058472f, 0.062012f, 0.065857f, 0.069946f, 0.074219f, 0.078796f, 0.083801f,
		0.088806f, 0.094299f, 0.100281f, 0.106018f, 0.112793f, 0.119446f, 0.126343f, 0.133545f, 0.141357f, 0.149292f, 0.157104f, 0.165894f,
		0.174683f, 0.184326f, 0.524902f, 0.566895f, 0.575195f, 0.576660f, 0.579102f, 0.579590f, 0.000661f, 0.001961f, 0.003382f, 0.004311f,
		0.005161f, 0.006062f, 0.006737f, 0.007427f, 0.008286f, 0.008995f, 0.009857f, 0.010368f, 0.011230f, 0.011955f, 0.012833f, 0.013786f,
		0.014565f, 0.015480f, 0.016647f, 0.017578f, 0.018677f, 0.019806f, 0.020950f, 0.022263f, 0.023651f, 0.024994f, 0.026306f, 0.027863f,
		0.029724f, 0.031525f, 0.033325f, 0.035370f, 0.037292f, 0.039673f, 0.042114f, 0.044769f, 0.047546f, 0.050537f, 0.053680f, 0.057098f,
		0.060852f, 0.064514f, 0.069031f, 0.073303f, 0.078064f, 0.083069f, 0.088379f, 0.094238f, 0.100220f, 0.106689f, 0.113342f, 0.120300f,
		0.127563f, 0.135132f, 0.142700f, 0.151245f, 0.160034f, 0.168823f, 0.512695f, 0.557129f, 0.566406f, 0.569824f, 0.569824f, 0.571289f,
		0.000757f, 0.001709f, 0.002844f, 0.003582f, 0.004448f, 0.005192f, 0.005989f, 0.006519f, 0.007038f, 0.007801f, 0.008453f, 0.009071f,
		0.009727f, 0.010391f, 0.011009f, 0.011726f, 0.012650f, 0.013184f, 0.014107f, 0.014977f, 0.015900f, 0.016800f, 0.017776f, 0.018936f,
		0.020172f, 0.021271f, 0.022446f, 0.023697f, 0.025055f, 0.026703f, 0.028397f, 0.030014f, 0.031921f, 0.033905f, 0.035919f, 0.038177f,
		0.040680f, 0.043243f, 0.045898f, 0.049072f, 0.052216f, 0.055725f, 0.059784f, 0.063538f, 0.067688f, 0.072327f, 0.077271f, 0.082764f,
		0.088379f, 0.094299f, 0.100708f, 0.107239f, 0.114136f, 0.121582f, 0.128906f, 0.136963f, 0.145630f, 0.153564f, 0.500977f, 0.547852f,
		0.556641f, 0.561523f, 0.562500f, 0.563965f, 0.000704f, 0.001769f, 0.002542f, 0.003523f, 0.004036f, 0.004562f, 0.005032f, 0.005661f,
		0.006176f, 0.006542f, 0.007072f, 0.007698f, 0.008339f, 0.008827f, 0.009323f, 0.010094f, 0.010757f, 0.011276f, 0.012093f, 0.012733f,
		0.013489f, 0.014488f, 0.015244f, 0.016006f, 0.017151f, 0.017975f, 0.018967f, 0.020142f, 0.021255f, 0.022552f, 0.023880f, 0.025314f,
		0.026840f, 0.028503f, 0.030441f, 0.032166f, 0.034424f, 0.036438f, 0.039001f, 0.041656f, 0.044464f, 0.047455f, 0.050842f, 0.054443f,
		0.058167f, 0.062286f, 0.066956f, 0.071899f, 0.076904f, 0.082458f, 0.088501f, 0.094482f, 0.101196f, 0.108337f, 0.115662f, 0.123352f,
		0.130981f, 0.139282f, 0.489746f, 0.538574f, 0.547852f, 0.551270f, 0.554688f, 0.555176f, 0.000579f, 0.001450f, 0.002396f, 0.002857f,
		0.003454f, 0.004032f, 0.004356f, 0.004791f, 0.005333f, 0.005718f, 0.006130f, 0.006485f, 0.007042f, 0.007473f, 0.007988f, 0.008476f,
		0.008865f, 0.009613f, 0.010086f, 0.010651f, 0.011345f, 0.012047f, 0.012764f, 0.013435f, 0.014282f, 0.015144f, 0.015884f, 0.016846f,
		0.017868f, 0.018814f, 0.020050f, 0.021164f, 0.022507f, 0.023773f, 0.025192f, 0.026978f, 0.028564f, 0.030640f, 0.032623f, 0.034882f,
		0.037231f, 0.039886f, 0.042786f, 0.046143f, 0.049286f, 0.052979f, 0.057098f, 0.061279f, 0.066223f, 0.071167f, 0.076660f, 0.082581f,
		0.088989f, 0.095581f, 0.102661f, 0.109863f, 0.117737f, 0.125488f, 0.476807f, 0.528320f, 0.538574f, 0.543945f, 0.546875f, 0.546875f,
		0.000510f, 0.001428f, 0.002037f, 0.002613f, 0.003086f, 0.003290f, 0.003672f, 0.004108f, 0.004345f, 0.004768f, 0.005035f, 0.005470f,
		0.005959f, 0.006207f, 0.006599f, 0.007095f, 0.007568f, 0.008003f, 0.008377f, 0.008904f, 0.009575f, 0.010010f, 0.010643f, 0.011131f,
		0.011871f, 0.012535f, 0.013199f, 0.014038f, 0.014839f, 0.015640f, 0.016586f, 0.017502f, 0.018585f, 0.019745f, 0.021088f, 0.022354f,
		0.023727f, 0.025253f, 0.026962f, 0.028870f, 0.030762f, 0.033051f, 0.035492f, 0.038177f, 0.041229f, 0.044403f, 0.048004f, 0.051880f,
		0.056213f, 0.060516f, 0.065857f, 0.071045f, 0.077271f, 0.083374f, 0.090027f, 0.096863f, 0.104492f, 0.112183f, 0.463623f, 0.518066f,
		0.529785f, 0.535156f, 0.538086f, 0.540039f, 0.000473f, 0.001222f, 0.001771f, 0.002117f, 0.002323f, 0.002796f, 0.003096f, 0.003355f,
		0.003601f, 0.003975f, 0.004295f, 0.004543f, 0.004833f, 0.005142f, 0.005455f, 0.005848f, 0.006165f, 0.006535f, 0.006947f, 0.007370f,
		0.007809f, 0.008240f, 0.008690f, 0.009216f, 0.009758f, 0.010223f, 0.010925f, 0.011536f, 0.012146f, 0.012833f, 0.013573f, 0.014389f,
		0.015244f, 0.016220f, 0.017120f, 0.018219f, 0.019379f, 0.020599f, 0.021988f, 0.023514f, 0.025131f, 0.027054f, 0.029037f, 0.031311f,
		0.033752f, 0.036591f, 0.039520f, 0.042999f, 0.046661f, 0.050873f, 0.055603f, 0.060333f, 0.066101f, 0.071960f, 0.078491f, 0.084961f,
		0.091797f, 0.099426f, 0.452148f, 0.508301f, 0.520508f, 0.526367f, 0.528809f, 0.530273f, 0.000299f, 0.001057f, 0.001329f, 0.001771f,
		0.001957f, 0.002350f, 0.002483f, 0.002697f, 0.002964f, 0.003181f, 0.003441f, 0.003653f, 0.003904f, 0.004238f, 0.004501f, 0.004738f,
		0.005024f, 0.005390f, 0.005657f, 0.005985f, 0.006279f, 0.006714f, 0.007053f, 0.007507f, 0.007881f, 0.008369f, 0.008774f, 0.009300f,
		0.009888f, 0.010483f, 0.011093f, 0.011627f, 0.012398f, 0.013130f, 0.013855f, 0.014717f, 0.015686f, 0.016739f, 0.017761f, 0.018890f,
		0.020248f, 0.021698f, 0.023376f, 0.025131f, 0.027237f, 0.029556f, 0.032166f, 0.035004f, 0.038208f, 0.041962f, 0.045868f, 0.050507f,
		0.055359f, 0.060852f, 0.066772f, 0.073242f, 0.080017f, 0.087097f, 0.440674f, 0.498047f, 0.511719f, 0.517090f, 0.520508f, 0.522949f,
		0.000427f, 0.001020f, 0.001253f, 0.001431f, 0.001690f, 0.001900f, 0.002018f, 0.002304f, 0.002481f, 0.002569f, 0.002731f, 0.002998f,
		0.003157f, 0.003424f, 0.003592f, 0.003838f, 0.004017f, 0.004253f, 0.004551f, 0.004776f, 0.005100f, 0.005379f, 0.005699f, 0.005932f,
		0.006290f, 0.006630f, 0.007038f, 0.007465f, 0.007927f, 0.008286f, 0.008858f, 0.009293f, 0.009888f, 0.010429f, 0.011086f, 0.011765f,
		0.012482f, 0.013298f, 0.014168f, 0.015068f, 0.016129f, 0.017288f, 0.018585f, 0.019943f, 0.021622f, 0.023361f, 0.025436f, 0.027847f,
		0.030655f, 0.033447f, 0.037079f, 0.041229f, 0.045776f, 0.050568f, 0.056061f, 0.062317f, 0.068726f, 0.075684f, 0.427734f, 0.488525f,
		0.502441f, 0.508789f, 0.513184f, 0.513672f, 0.000255f, 0.000597f, 0.001032f, 0.001150f, 0.001353f, 0.001493f, 0.001608f, 0.001750f,
		0.001933f, 0.002062f, 0.002178f, 0.002302f, 0.002474f, 0.002670f, 0.002872f, 0.002995f, 0.003147f, 0.003298f, 0.003565f, 0.003729f,
		0.003941f, 0.004219f, 0.004436f, 0.004719f, 0.005005f, 0.005230f, 0.005489f, 0.005806f, 0.006191f, 0.006496f, 0.006897f, 0.007267f,
		0.007671f, 0.008179f, 0.008636f, 0.009163f, 0.009766f, 0.010368f, 0.011047f, 0.011810f, 0.012611f, 0.013527f, 0.014519f, 0.015640f,
		0.016800f, 0.018265f, 0.019897f, 0.021698f, 0.023895f, 0.026260f, 0.029175f, 0.032715f, 0.036682f, 0.041168f, 0.045929f, 0.051758f,
		0.057922f, 0.064575f, 0.415771f, 0.478271f, 0.493652f, 0.500000f, 0.503906f, 0.505859f, 0.000255f, 0.000544f, 0.000863f, 0.000994f,
		0.001086f, 0.001183f, 0.001317f, 0.001328f, 0.001491f, 0.001608f, 0.001716f, 0.001851f, 0.001943f, 0.002075f, 0.002161f, 0.002319f,
		0.002426f, 0.002596f, 0.002741f, 0.002884f, 0.003088f, 0.003265f, 0.003391f, 0.003620f, 0.003777f, 0.004005f, 0.004215f, 0.004452f,
		0.004734f, 0.004963f, 0.005341f, 0.005577f, 0.005875f, 0.006271f, 0.006603f, 0.006996f, 0.007450f, 0.007919f, 0.008446f, 0.009003f,
		0.009674f, 0.010338f, 0.011101f, 0.011909f, 0.012917f, 0.013977f, 0.015190f, 0.016495f, 0.018112f, 0.020325f, 0.022415f, 0.025146f,
		0.028473f, 0.032349f, 0.036804f, 0.041992f, 0.047913f, 0.054077f, 0.404541f, 0.468506f, 0.484131f, 0.490967f, 0.495361f, 0.498291f,
		0.000377f, 0.000440f, 0.000606f, 0.000685f, 0.000735f, 0.000876f, 0.000929f, 0.001035f, 0.001068f, 0.001157f, 0.001307f, 0.001381f,
		0.001473f, 0.001595f, 0.001664f, 0.001708f, 0.001850f, 0.001957f, 0.002043f, 0.002195f, 0.002291f, 0.002422f, 0.002571f, 0.002687f,
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		0.322021f, 0.336914f, 0.350098f, 0.364502f, 0.378174f, 0.393066f, 0.407471f, 0.420166f, 0.435059f, 0.449219f, 0.463135f, 0.477295f,
		0.491699f, 0.506348f, 0.520996f, 0.534668f, 0.549316f, 0.563477f, 0.577148f, 0.591309f, 0.605469f, 0.620605f, 0.634766f, 0.648438f,
		0.663086f, 0.677734f, 0.691895f, 0.706543f, 0.720215f, 0.734863f, 0.750488f, 0.765137f, 0.779297f, 0.793945f, 0.872559f, 0.843262f,
		0.820801f, 0.803223f, 0.787598f, 0.773926f, 0.005283f, 0.016052f, 0.028030f, 0.039246f, 0.050751f, 0.063232f, 0.074829f, 0.087341f,
		0.099976f, 0.112732f, 0.125122f, 0.138062f, 0.150757f, 0.163696f, 0.176758f, 0.189697f, 0.203125f, 0.216553f, 0.229614f, 0.243286f,
		0.256592f, 0.269775f, 0.283203f, 0.297119f, 0.310547f, 0.324463f, 0.337891f, 0.351807f, 0.365234f, 0.378662f, 0.392822f, 0.406738f,
		0.419922f, 0.434814f, 0.448730f, 0.461182f, 0.476562f, 0.489746f, 0.502930f, 0.517578f, 0.531738f, 0.545410f, 0.559082f, 0.573730f,
		0.587402f, 0.602051f, 0.615723f, 0.629395f, 0.644043f, 0.658203f, 0.672363f, 0.686523f, 0.701660f, 0.714844f, 0.729980f, 0.743652f,
		0.758301f, 0.774414f, 0.862305f, 0.835449f, 0.813965f, 0.796875f, 0.782227f, 0.769043f, 0.005272f, 0.015427f, 0.026230f, 0.037506f,
		0.049164f, 0.060516f, 0.072021f, 0.083740f, 0.095825f, 0.108521f, 0.120361f, 0.132324f, 0.144897f, 0.156738f, 0.169922f, 0.182373f,
		0.195068f, 0.208008f, 0.220459f, 0.233887f, 0.246948f, 0.260254f, 0.272461f, 0.285889f, 0.299561f, 0.312500f, 0.325684f, 0.338867f,
		0.352783f, 0.365479f, 0.378906f, 0.392334f, 0.406006f, 0.419189f, 0.432861f, 0.446777f, 0.460693f, 0.473877f, 0.486572f, 0.500977f,
		0.515137f, 0.528809f, 0.542480f, 0.555176f, 0.569824f, 0.583984f, 0.597656f, 0.611328f, 0.625000f, 0.639648f, 0.653320f, 0.667480f,
		0.681641f, 0.695801f, 0.709961f, 0.723633f, 0.738281f, 0.752930f, 0.852539f, 0.827148f, 0.807129f, 0.790527f, 0.776367f, 0.764160f,
		0.004822f, 0.014885f, 0.025360f, 0.035767f, 0.046570f, 0.057587f, 0.068726f, 0.080139f, 0.091736f, 0.103577f, 0.115479f, 0.126709f,
		0.138672f, 0.150879f, 0.162231f, 0.174805f, 0.187622f, 0.199951f, 0.212524f, 0.224854f, 0.236694f, 0.249878f, 0.262207f, 0.275391f,
		0.287842f, 0.300293f, 0.313477f, 0.326904f, 0.340088f, 0.353027f, 0.365479f, 0.378174f, 0.391602f, 0.404541f, 0.417236f, 0.431641f,
		0.444336f, 0.457764f, 0.470703f, 0.484375f, 0.497803f, 0.510742f, 0.524902f, 0.537598f, 0.552246f, 0.564941f, 0.579590f, 0.592285f,
		0.606445f, 0.621094f, 0.634277f, 0.646973f, 0.662109f, 0.675781f, 0.689453f, 0.704102f, 0.718262f, 0.733398f, 0.842285f, 0.818848f,
		0.799805f, 0.784180f, 0.770996f, 0.758301f, 0.004745f, 0.014427f, 0.024277f, 0.034546f, 0.044800f, 0.055176f, 0.066040f, 0.076477f,
		0.087341f, 0.099060f, 0.110474f, 0.121216f, 0.132690f, 0.144165f, 0.156006f, 0.167358f, 0.179688f, 0.191284f, 0.203247f, 0.216187f,
		0.227905f, 0.239868f, 0.252441f, 0.264648f, 0.277100f, 0.289307f, 0.301270f, 0.314453f, 0.326660f, 0.338867f, 0.352539f, 0.364990f,
		0.377686f, 0.390137f, 0.403076f, 0.416016f, 0.428467f, 0.441406f, 0.453857f, 0.468262f, 0.480957f, 0.494385f, 0.507324f, 0.520020f,
		0.534180f, 0.547363f, 0.560059f, 0.573730f, 0.586914f, 0.601074f, 0.615234f, 0.628418f, 0.641602f, 0.656250f, 0.669434f, 0.683594f,
		0.697754f, 0.712402f, 0.832520f, 0.809570f, 0.792480f, 0.778320f, 0.764160f, 0.753906f, 0.004612f, 0.013840f, 0.023483f, 0.033081f,
		0.042999f, 0.052490f, 0.063049f, 0.073303f, 0.083801f, 0.094238f, 0.105042f, 0.115967f, 0.127319f, 0.138062f, 0.149048f, 0.160645f,
		0.171875f, 0.183228f, 0.194946f, 0.206665f, 0.218384f, 0.230347f, 0.241699f, 0.253906f, 0.265869f, 0.277832f, 0.290039f, 0.301758f,
		0.314209f, 0.326660f, 0.339111f, 0.351074f, 0.363281f, 0.375977f, 0.388428f, 0.401123f, 0.413330f, 0.426270f, 0.439453f, 0.451904f,
		0.464111f, 0.478027f, 0.489746f, 0.503418f, 0.515625f, 0.529297f, 0.542480f, 0.556152f, 0.569336f, 0.582031f, 0.595215f, 0.608887f,
		0.622559f, 0.636230f, 0.649902f, 0.663574f, 0.677246f, 0.691895f, 0.821289f, 0.802246f, 0.785645f, 0.771484f, 0.758789f, 0.748047f,
		0.004345f, 0.012985f, 0.022156f, 0.030884f, 0.040802f, 0.050568f, 0.060303f, 0.069946f, 0.079956f, 0.090393f, 0.100403f, 0.111084f,
		0.120667f, 0.131714f, 0.142700f, 0.153198f, 0.164429f, 0.175659f, 0.186523f, 0.197876f, 0.208496f, 0.220337f, 0.231567f, 0.243286f,
		0.254639f, 0.266113f, 0.277832f, 0.289795f, 0.301758f, 0.313477f, 0.325439f, 0.337402f, 0.349609f, 0.361328f, 0.373779f, 0.385986f,
		0.398193f, 0.410889f, 0.423340f, 0.435059f, 0.447998f, 0.460205f, 0.473389f, 0.486084f, 0.499023f, 0.511230f, 0.524414f, 0.537109f,
		0.549805f, 0.563477f, 0.576172f, 0.589355f, 0.603027f, 0.616699f, 0.629883f, 0.644531f, 0.658691f, 0.670898f, 0.811035f, 0.792969f,
		0.777832f, 0.764648f, 0.752441f, 0.742676f, 0.004002f, 0.012718f, 0.021210f, 0.029877f, 0.039246f, 0.048431f, 0.057281f, 0.067078f,
		0.076538f, 0.086121f, 0.096008f, 0.105957f, 0.115540f, 0.125732f, 0.136475f, 0.146729f, 0.157227f, 0.167236f, 0.177979f, 0.189819f,
		0.200195f, 0.210693f, 0.221802f, 0.232788f, 0.243896f, 0.255127f, 0.266602f, 0.278320f, 0.289062f, 0.300293f, 0.312012f, 0.323975f,
		0.335449f, 0.347168f, 0.359131f, 0.371094f, 0.382812f, 0.394775f, 0.406982f, 0.419434f, 0.431152f, 0.443604f, 0.455566f, 0.468506f,
		0.481445f, 0.493408f, 0.506348f, 0.519043f, 0.531738f, 0.544922f, 0.558105f, 0.570801f, 0.583984f, 0.597168f, 0.610352f, 0.624512f,
		0.637695f, 0.651855f, 0.800293f, 0.785156f, 0.770508f, 0.757812f, 0.747070f, 0.737305f, 0.003967f, 0.011940f, 0.020203f, 0.028931f,
		0.037109f, 0.045898f, 0.054840f, 0.063477f, 0.073059f, 0.082214f, 0.090942f, 0.100647f, 0.110535f, 0.120178f, 0.129639f, 0.139648f,
		0.149902f, 0.160156f, 0.170044f, 0.180786f, 0.190674f, 0.201416f, 0.211792f, 0.222412f, 0.233521f, 0.244751f, 0.255615f, 0.266113f,
		0.276855f, 0.288574f, 0.299561f, 0.311279f, 0.322266f, 0.333984f, 0.344727f, 0.356934f, 0.368164f, 0.379395f, 0.390869f, 0.403076f,
		0.415283f, 0.427246f, 0.439453f, 0.451172f, 0.464111f, 0.476807f, 0.488281f, 0.500977f, 0.513672f, 0.526367f, 0.538574f, 0.551758f,
		0.564453f, 0.577637f, 0.590820f, 0.604492f, 0.618164f, 0.631836f, 0.790039f, 0.775879f, 0.763184f, 0.750977f, 0.740723f, 0.731445f,
		0.003679f, 0.011749f, 0.019135f, 0.027237f, 0.035431f, 0.043884f, 0.052399f, 0.060577f, 0.069153f, 0.077881f, 0.086731f, 0.095947f,
		0.104797f, 0.114380f, 0.123535f, 0.133057f, 0.142700f, 0.152588f, 0.162231f, 0.171753f, 0.182129f, 0.192261f, 0.202026f, 0.212524f,
		0.222900f, 0.233643f, 0.243896f, 0.254395f, 0.264893f, 0.276123f, 0.286621f, 0.297119f, 0.308105f, 0.319336f, 0.331299f, 0.341553f,
		0.353027f, 0.364258f, 0.375977f, 0.387451f, 0.399414f, 0.410645f, 0.422607f, 0.434814f, 0.445801f, 0.458984f, 0.470703f, 0.482910f,
		0.495361f, 0.508301f, 0.520020f, 0.532227f, 0.545410f, 0.558594f, 0.570801f, 0.584961f, 0.597656f, 0.611816f, 0.778809f, 0.768066f,
		0.754883f, 0.743652f, 0.733887f, 0.725098f, 0.003525f, 0.010956f, 0.018433f, 0.026260f, 0.033295f, 0.041870f, 0.049377f, 0.057709f,
		0.065735f, 0.074463f, 0.082764f, 0.091736f, 0.099976f, 0.108582f, 0.118103f, 0.126465f, 0.135742f, 0.144775f, 0.154175f, 0.164307f,
		0.173218f, 0.182983f, 0.192505f, 0.202759f, 0.212646f, 0.221924f, 0.232910f, 0.242188f, 0.252930f, 0.262939f, 0.273926f, 0.284180f,
		0.294922f, 0.305420f, 0.316162f, 0.327637f, 0.338867f, 0.349609f, 0.361084f, 0.371826f, 0.382812f, 0.395020f, 0.406494f, 0.417725f,
		0.429688f, 0.441406f, 0.452637f, 0.465088f, 0.477783f, 0.489258f, 0.501953f, 0.514160f, 0.527344f, 0.539062f, 0.551758f, 0.564941f,
		0.578125f, 0.591797f, 0.768555f, 0.759277f, 0.748047f, 0.736816f, 0.728027f, 0.718750f, 0.003363f, 0.010353f, 0.017548f, 0.024765f,
		0.032196f, 0.039673f, 0.046936f, 0.054565f, 0.062561f, 0.070496f, 0.078308f, 0.086731f, 0.094910f, 0.103333f, 0.111633f, 0.120422f,
		0.129150f, 0.137695f, 0.146973f, 0.155762f, 0.164673f, 0.173950f, 0.183228f, 0.193359f, 0.201782f, 0.212036f, 0.221436f, 0.231323f,
		0.241699f, 0.251221f, 0.261719f, 0.271729f, 0.281494f, 0.291992f, 0.302734f, 0.312988f, 0.323730f, 0.334961f, 0.345459f, 0.357666f,
		0.367432f, 0.378662f, 0.389893f, 0.401855f, 0.412842f, 0.424316f, 0.435791f, 0.447266f, 0.459473f, 0.471436f, 0.482910f, 0.495605f,
		0.507324f, 0.520508f, 0.533203f, 0.545898f, 0.558594f, 0.570801f, 0.757812f, 0.750488f, 0.740234f, 0.729980f, 0.720703f, 0.712402f,
		0.003254f, 0.010048f, 0.016815f, 0.023453f, 0.030609f, 0.037537f, 0.044617f, 0.051971f, 0.059265f, 0.066833f, 0.074280f, 0.082153f,
		0.089905f, 0.097717f, 0.106018f, 0.113770f, 0.122131f, 0.131104f, 0.139282f, 0.147705f, 0.155762f, 0.165161f, 0.173950f, 0.183228f,
		0.192139f, 0.200928f, 0.210693f, 0.220093f, 0.229736f, 0.239258f, 0.248657f, 0.259277f, 0.268799f, 0.279053f, 0.288574f, 0.299561f,
		0.309814f, 0.319580f, 0.330322f, 0.340820f, 0.352783f, 0.362549f, 0.374023f, 0.385010f, 0.395752f, 0.407471f, 0.418701f, 0.429688f,
		0.441650f, 0.453125f, 0.465088f, 0.477539f, 0.489014f, 0.500977f, 0.513184f, 0.526855f, 0.539062f, 0.552246f, 0.747559f, 0.741699f,
		0.731934f, 0.722656f, 0.714355f, 0.707031f, 0.003345f, 0.009262f, 0.015900f, 0.022614f, 0.029282f, 0.035522f, 0.042633f, 0.048981f,
		0.056000f, 0.063110f, 0.070801f, 0.077454f, 0.084839f, 0.092590f, 0.100281f, 0.107849f, 0.116089f, 0.123169f, 0.131348f, 0.139648f,
		0.148193f, 0.156616f, 0.164795f, 0.173584f, 0.182617f, 0.191284f, 0.200073f, 0.208740f, 0.218140f, 0.227417f, 0.236694f, 0.246338f,
		0.255859f, 0.265381f, 0.275146f, 0.285889f, 0.294922f, 0.305420f, 0.315918f, 0.325928f, 0.336670f, 0.347412f, 0.358154f, 0.368652f,
		0.378662f, 0.390381f, 0.402100f, 0.412842f, 0.424316f, 0.435059f, 0.447021f, 0.458984f, 0.470459f, 0.482422f, 0.494873f, 0.508301f,
		0.520020f, 0.532227f, 0.737305f, 0.732910f, 0.723633f, 0.715820f, 0.708008f, 0.700195f, 0.003195f, 0.009010f, 0.015137f, 0.021225f,
		0.027466f, 0.033844f, 0.040161f, 0.046417f, 0.053497f, 0.059875f, 0.066711f, 0.073425f, 0.080505f, 0.087280f, 0.094788f, 0.102173f,
		0.109070f, 0.117004f, 0.124634f, 0.132446f, 0.139893f, 0.147705f, 0.155884f, 0.163940f, 0.172729f, 0.180908f, 0.189697f, 0.198242f,
		0.206665f, 0.215820f, 0.225220f, 0.233765f, 0.243408f, 0.251953f, 0.262207f, 0.271484f, 0.281494f, 0.291260f, 0.300537f, 0.311035f,
		0.320801f, 0.332520f, 0.341797f, 0.352051f, 0.362305f, 0.373535f, 0.384521f, 0.395264f, 0.406494f, 0.417480f, 0.429443f, 0.440430f,
		0.451904f, 0.463867f, 0.476074f, 0.487793f, 0.499268f, 0.513184f, 0.726562f, 0.723633f, 0.716309f, 0.708496f, 0.700684f, 0.694336f,
		0.002859f, 0.008507f, 0.014366f, 0.020203f, 0.026123f, 0.031891f, 0.038025f, 0.044281f, 0.050354f, 0.056519f, 0.062683f, 0.069275f,
		0.075195f, 0.082458f, 0.088806f, 0.095947f, 0.102783f, 0.110046f, 0.117065f, 0.124878f, 0.132080f, 0.139282f, 0.146851f, 0.154907f,
		0.162598f, 0.171265f, 0.178833f, 0.187500f, 0.195435f, 0.204590f, 0.213013f, 0.221680f, 0.231079f, 0.239502f, 0.248047f, 0.258301f,
		0.267334f, 0.277100f, 0.286133f, 0.296387f, 0.306641f, 0.316162f, 0.326416f, 0.336426f, 0.346924f, 0.357422f, 0.367188f, 0.378418f,
		0.389160f, 0.400391f, 0.411865f, 0.422852f, 0.433594f, 0.445557f, 0.457520f, 0.468994f, 0.481445f, 0.493408f, 0.715332f, 0.715332f,
		0.708984f, 0.700684f, 0.693848f, 0.687988f, 0.002701f, 0.008080f, 0.013718f, 0.019058f, 0.024582f, 0.030197f, 0.035675f, 0.041748f,
		0.047302f, 0.053589f, 0.059082f, 0.065308f, 0.071777f, 0.077576f, 0.084106f, 0.090332f, 0.097107f, 0.103577f, 0.110046f, 0.117493f,
		0.124146f, 0.131470f, 0.138550f, 0.145508f, 0.153564f, 0.161377f, 0.169067f, 0.176880f, 0.184814f, 0.192627f, 0.201294f, 0.209717f,
		0.218140f, 0.226929f, 0.235229f, 0.245117f, 0.253418f, 0.262939f, 0.272705f, 0.281738f, 0.290771f, 0.300781f, 0.310791f, 0.321289f,
		0.330566f, 0.341064f, 0.351562f, 0.361572f, 0.372559f, 0.382568f, 0.393066f, 0.405273f, 0.415771f, 0.426758f, 0.438721f, 0.450439f,
		0.461670f, 0.474121f, 0.704102f, 0.706543f, 0.700195f, 0.693359f, 0.687012f, 0.681152f, 0.002546f, 0.007771f, 0.012985f, 0.017975f,
		0.023392f, 0.028976f, 0.034180f, 0.039368f, 0.044556f, 0.050110f, 0.055847f, 0.061218f, 0.066895f, 0.072815f, 0.078674f, 0.085083f,
		0.091309f, 0.097168f, 0.103516f, 0.110107f, 0.116821f, 0.123413f, 0.130371f, 0.137329f, 0.144165f, 0.151733f, 0.158813f, 0.166382f,
		0.174438f, 0.182129f, 0.190063f, 0.197510f, 0.206055f, 0.214355f, 0.222778f, 0.231812f, 0.240723f, 0.249023f, 0.258789f, 0.267578f,
		0.276855f, 0.285889f, 0.295654f, 0.305420f, 0.315430f, 0.324463f, 0.334961f, 0.345215f, 0.354492f, 0.365234f, 0.376221f, 0.387451f,
		0.398926f, 0.409424f, 0.419678f, 0.432129f, 0.443848f, 0.455566f, 0.693848f, 0.697266f, 0.691895f, 0.686523f, 0.680176f, 0.674805f,
		0.002542f, 0.007271f, 0.012337f, 0.017181f, 0.021744f, 0.026840f, 0.031555f, 0.037231f, 0.042236f, 0.046906f, 0.051941f, 0.057709f,
		0.063049f, 0.068542f, 0.073853f, 0.079712f, 0.085266f, 0.091064f, 0.096985f, 0.103027f, 0.109009f, 0.115417f, 0.122192f, 0.128540f,
		0.135132f, 0.141846f, 0.148926f, 0.156250f, 0.163696f, 0.171387f, 0.178223f, 0.186035f, 0.194580f, 0.202271f, 0.210327f, 0.218994f,
		0.227173f, 0.235596f, 0.244385f, 0.252930f, 0.262451f, 0.271240f, 0.280762f, 0.290771f, 0.299805f, 0.309082f, 0.318359f, 0.329102f,
		0.338623f, 0.348633f, 0.358643f, 0.370117f, 0.379639f, 0.390869f, 0.401611f, 0.413330f, 0.425293f, 0.436523f, 0.682129f, 0.688477f,
		0.684082f, 0.678711f, 0.673340f, 0.667969f, 0.002300f, 0.007076f, 0.011505f, 0.016251f, 0.020401f, 0.025665f, 0.029816f, 0.034790f,
		0.039368f, 0.044159f, 0.048798f, 0.053955f, 0.059174f, 0.064148f, 0.069153f, 0.074463f, 0.079346f, 0.085266f, 0.090759f, 0.096191f,
		0.102112f, 0.108032f, 0.114075f, 0.120117f, 0.126587f, 0.133057f, 0.139648f, 0.146240f, 0.153442f, 0.160400f, 0.167725f, 0.174683f,
		0.182739f, 0.190308f, 0.198120f, 0.206177f, 0.214355f, 0.222656f, 0.230713f, 0.239258f, 0.248413f, 0.257080f, 0.265869f, 0.274658f,
		0.284424f, 0.292725f, 0.302490f, 0.313232f, 0.321777f, 0.331787f, 0.341797f, 0.352295f, 0.363281f, 0.373535f, 0.383545f, 0.395264f,
		0.405762f, 0.416992f, 0.671387f, 0.679688f, 0.675293f, 0.670898f, 0.666016f, 0.661133f, 0.002104f, 0.006474f, 0.010506f, 0.015099f,
		0.018875f, 0.023911f, 0.028534f, 0.032715f, 0.036652f, 0.041290f, 0.046021f, 0.050171f, 0.054535f, 0.059570f, 0.064575f, 0.069458f,
		0.074341f, 0.079346f, 0.084351f, 0.089844f, 0.095032f, 0.100830f, 0.106628f, 0.112122f, 0.117859f, 0.124084f, 0.130249f, 0.136841f,
		0.143188f, 0.149780f, 0.157349f, 0.163940f, 0.171021f, 0.178345f, 0.186279f, 0.193848f, 0.201172f, 0.209717f, 0.217529f, 0.225464f,
		0.233765f, 0.242676f, 0.251221f, 0.260254f, 0.268311f, 0.278076f, 0.287109f, 0.296143f, 0.305908f, 0.315674f, 0.325195f, 0.335449f,
		0.344971f, 0.355469f, 0.365967f, 0.377441f, 0.387939f, 0.398193f, 0.660645f, 0.670410f, 0.667969f, 0.663086f, 0.659180f, 0.654785f,
		0.002085f, 0.006306f, 0.010506f, 0.014107f, 0.018448f, 0.022293f, 0.026215f, 0.029953f, 0.034515f, 0.038391f, 0.042786f, 0.046844f,
		0.051361f, 0.055573f, 0.059784f, 0.064331f, 0.068970f, 0.073425f, 0.078430f, 0.083313f, 0.088318f, 0.093567f, 0.098816f, 0.104126f,
		0.109924f, 0.115662f, 0.121521f, 0.127197f, 0.133545f, 0.139771f, 0.146729f, 0.153076f, 0.160278f, 0.166992f, 0.174316f, 0.181274f,
		0.188965f, 0.196045f, 0.204468f, 0.212036f, 0.220459f, 0.228638f, 0.237183f, 0.245483f, 0.254150f, 0.262451f, 0.271484f, 0.281250f,
		0.290283f, 0.299561f, 0.308350f, 0.318115f, 0.328369f, 0.337158f, 0.349121f, 0.358887f, 0.370117f, 0.380615f, 0.649414f, 0.661133f,
		0.659668f, 0.655762f, 0.651855f, 0.647949f, 0.001922f, 0.005867f, 0.009399f, 0.013565f, 0.017380f, 0.020859f, 0.024551f, 0.028442f,
		0.032318f, 0.035980f, 0.039551f, 0.043488f, 0.047333f, 0.051239f, 0.055573f, 0.059875f, 0.063660f, 0.067810f, 0.072876f, 0.077087f,
		0.081726f, 0.086304f, 0.091370f, 0.096863f, 0.101746f, 0.107483f, 0.112732f, 0.117920f, 0.124329f, 0.130005f, 0.136108f, 0.142822f,
		0.149170f, 0.155396f, 0.162598f, 0.169434f, 0.176636f, 0.183838f, 0.191772f, 0.198975f, 0.206665f, 0.214478f, 0.222290f, 0.230835f,
		0.239258f, 0.247803f, 0.256836f, 0.264893f, 0.274414f, 0.283203f, 0.292725f, 0.301758f, 0.311035f, 0.321289f, 0.332275f, 0.340820f,
		0.351562f, 0.363037f, 0.637695f, 0.652832f, 0.651367f, 0.647949f, 0.644531f, 0.641602f, 0.002052f, 0.005253f, 0.009117f, 0.012482f,
		0.016113f, 0.019302f, 0.022842f, 0.026230f, 0.029831f, 0.033447f, 0.036682f, 0.040588f, 0.044189f, 0.047333f, 0.051178f, 0.055267f,
		0.058807f, 0.062683f, 0.067200f, 0.070984f, 0.075195f, 0.079895f, 0.084534f, 0.088806f, 0.093933f, 0.098999f, 0.104309f, 0.109619f,
		0.114807f, 0.120422f, 0.126587f, 0.132080f, 0.138550f, 0.144775f, 0.151245f, 0.157837f, 0.164551f, 0.171387f, 0.178467f, 0.186157f,
		0.193359f, 0.201294f, 0.208740f, 0.216797f, 0.224854f, 0.233398f, 0.241211f, 0.250000f, 0.258545f, 0.267822f, 0.276855f, 0.286133f,
		0.295410f, 0.304932f, 0.314697f, 0.324463f, 0.334229f, 0.344238f, 0.626953f, 0.642578f, 0.643066f, 0.641113f, 0.637695f, 0.634277f,
		0.001711f, 0.005424f, 0.008347f, 0.012024f, 0.014977f, 0.018066f, 0.021500f, 0.024399f, 0.027756f, 0.030869f, 0.034058f, 0.037048f,
		0.040558f, 0.044006f, 0.046906f, 0.050690f, 0.054169f, 0.057983f, 0.061584f, 0.065247f, 0.069336f, 0.073425f, 0.077576f, 0.082092f,
		0.086670f, 0.091064f, 0.095886f, 0.101196f, 0.105957f, 0.111267f, 0.116943f, 0.122559f, 0.128174f, 0.133789f, 0.140259f, 0.146118f,
		0.153076f, 0.159424f, 0.166016f, 0.173462f, 0.180542f, 0.187744f, 0.195435f, 0.203003f, 0.209961f, 0.218994f, 0.226562f, 0.234619f,
		0.243286f, 0.251709f, 0.260742f, 0.269531f, 0.277832f, 0.287354f, 0.297363f, 0.306885f, 0.316406f, 0.326660f, 0.615234f, 0.633789f,
		0.634277f, 0.632812f, 0.630371f, 0.626953f, 0.001721f, 0.004829f, 0.008034f, 0.010857f, 0.013893f, 0.016953f, 0.019806f, 0.022705f,
		0.025589f, 0.028793f, 0.031616f, 0.034180f, 0.036926f, 0.039978f, 0.043213f, 0.046356f, 0.049744f, 0.052887f, 0.056305f, 0.059906f,
		0.063416f, 0.067322f, 0.070862f, 0.075134f, 0.079285f, 0.083435f, 0.088074f, 0.092712f, 0.097534f, 0.102173f, 0.107544f, 0.112305f,
		0.118225f, 0.123657f, 0.129272f, 0.135376f, 0.141602f, 0.147705f, 0.153931f, 0.160889f, 0.167847f, 0.174683f, 0.181885f, 0.189209f,
		0.196533f, 0.204224f, 0.212524f, 0.219727f, 0.228271f, 0.236572f, 0.245483f, 0.253418f, 0.261719f, 0.270996f, 0.280029f, 0.289307f,
		0.300537f, 0.309326f, 0.604004f, 0.625000f, 0.626953f, 0.625000f, 0.622559f, 0.620117f, 0.001624f, 0.004730f, 0.007412f, 0.010300f,
		0.013199f, 0.015717f, 0.018448f, 0.020935f, 0.023163f, 0.026138f, 0.028687f, 0.031204f, 0.033875f, 0.036743f, 0.039825f, 0.042389f,
		0.045166f, 0.048523f, 0.051422f, 0.054535f, 0.057953f, 0.061249f, 0.064880f, 0.068542f, 0.072388f, 0.076355f, 0.080505f, 0.084534f,
		0.089294f, 0.093750f, 0.098389f, 0.103210f, 0.108337f, 0.113647f, 0.118896f, 0.124817f, 0.130737f, 0.135986f, 0.142212f, 0.148560f,
		0.155151f, 0.162109f, 0.168579f, 0.175415f, 0.183105f, 0.190552f, 0.197998f, 0.205322f, 0.213623f, 0.221436f, 0.229370f, 0.237915f,
		0.246216f, 0.254883f, 0.264160f, 0.273438f, 0.282471f, 0.292236f, 0.593262f, 0.615723f, 0.618164f, 0.617188f, 0.615234f, 0.612793f,
		0.001355f, 0.004463f, 0.007061f, 0.009506f, 0.011612f, 0.014381f, 0.016830f, 0.019394f, 0.021576f, 0.023697f, 0.026428f, 0.028778f,
		0.030975f, 0.033386f, 0.035950f, 0.038513f, 0.041260f, 0.044067f, 0.046967f, 0.049622f, 0.052612f, 0.055847f, 0.059052f, 0.062164f,
		0.065918f, 0.069397f, 0.073242f, 0.077271f, 0.081055f, 0.085327f, 0.089661f, 0.094177f, 0.098877f, 0.103455f, 0.108582f, 0.113647f,
		0.119812f, 0.125000f, 0.130981f, 0.137085f, 0.142944f, 0.149414f, 0.156006f, 0.162354f, 0.169434f, 0.176514f, 0.183716f, 0.191284f,
		0.198975f, 0.206421f, 0.214844f, 0.222412f, 0.231323f, 0.238647f, 0.247437f, 0.256592f, 0.265625f, 0.276367f, 0.581055f, 0.606445f,
		0.609863f, 0.608887f, 0.607910f, 0.606445f, 0.001413f, 0.004128f, 0.006180f, 0.008781f, 0.010994f, 0.013496f, 0.015427f, 0.017654f,
		0.019684f, 0.021881f, 0.024139f, 0.025879f, 0.028137f, 0.030334f, 0.032471f, 0.034821f, 0.037354f, 0.039642f, 0.042236f, 0.044708f,
		0.047394f, 0.050079f, 0.053223f, 0.056244f, 0.059479f, 0.062622f, 0.066223f, 0.069946f, 0.073608f, 0.077209f, 0.081604f, 0.085632f,
		0.089722f, 0.094360f, 0.098999f, 0.103943f, 0.108826f, 0.114319f, 0.119568f, 0.125122f, 0.131104f, 0.137085f, 0.143433f, 0.150024f,
		0.156494f, 0.163330f, 0.170044f, 0.177490f, 0.184326f, 0.191895f, 0.199707f, 0.207764f, 0.215698f, 0.223755f, 0.231812f, 0.240845f,
		0.249756f, 0.258789f, 0.568848f, 0.598145f, 0.601562f, 0.600586f, 0.600586f, 0.599121f, 0.001182f, 0.003773f, 0.005970f, 0.008293f,
		0.010277f, 0.012512f, 0.014030f, 0.016129f, 0.017929f, 0.019791f, 0.021683f, 0.023590f, 0.025452f, 0.027328f, 0.029404f, 0.031677f,
		0.033539f, 0.035583f, 0.037903f, 0.040314f, 0.042877f, 0.045319f, 0.048126f, 0.050690f, 0.053436f, 0.056519f, 0.059723f, 0.062744f,
		0.066284f, 0.069702f, 0.073608f, 0.077209f, 0.081055f, 0.085754f, 0.089783f, 0.094421f, 0.099060f, 0.103821f, 0.109192f, 0.114563f,
		0.119934f, 0.125488f, 0.131104f, 0.137695f, 0.144043f, 0.149780f, 0.156738f, 0.163940f, 0.170654f, 0.177856f, 0.185181f, 0.192871f,
		0.200439f, 0.208740f, 0.216675f, 0.225342f, 0.233521f, 0.242554f, 0.557617f, 0.587891f, 0.592285f, 0.592773f, 0.592285f, 0.592285f,
		0.001198f, 0.003677f, 0.005547f, 0.007561f, 0.009468f, 0.011253f, 0.012833f, 0.014465f, 0.016205f, 0.017792f, 0.019394f, 0.021240f,
		0.022751f, 0.024475f, 0.026260f, 0.028015f, 0.030136f, 0.031708f, 0.034088f, 0.036102f, 0.038361f, 0.040497f, 0.042816f, 0.045288f,
		0.047882f, 0.050476f, 0.053284f, 0.056183f, 0.059174f, 0.062500f, 0.065796f, 0.069153f, 0.072998f, 0.076904f, 0.080994f, 0.085083f,
		0.089478f, 0.094116f, 0.098633f, 0.103394f, 0.108704f, 0.113953f, 0.119934f, 0.125366f, 0.131348f, 0.137329f, 0.143555f, 0.150391f,
		0.157227f, 0.163818f, 0.170776f, 0.178467f, 0.185791f, 0.193359f, 0.201538f, 0.209717f, 0.218018f, 0.226807f, 0.544922f, 0.578613f,
		0.583984f, 0.584961f, 0.585449f, 0.584473f, 0.001067f, 0.003101f, 0.004974f, 0.006855f, 0.008522f, 0.009949f, 0.011635f, 0.012985f,
		0.014595f, 0.016052f, 0.017685f, 0.019012f, 0.020264f, 0.021851f, 0.023346f, 0.025146f, 0.026688f, 0.028336f, 0.030304f, 0.031860f,
		0.034119f, 0.035889f, 0.038025f, 0.040283f, 0.042450f, 0.044952f, 0.047302f, 0.050049f, 0.052765f, 0.055908f, 0.058594f, 0.061859f,
		0.064880f, 0.068481f, 0.072327f, 0.076172f, 0.080200f, 0.084290f, 0.088684f, 0.093262f, 0.098145f, 0.102905f, 0.108337f, 0.113708f,
		0.119080f, 0.125000f, 0.131348f, 0.137329f, 0.143921f, 0.150391f, 0.157593f, 0.164551f, 0.171753f, 0.179077f, 0.186768f, 0.194702f,
		0.203003f, 0.210815f, 0.534180f, 0.569336f, 0.575684f, 0.577637f, 0.577637f, 0.577148f, 0.001196f, 0.003178f, 0.004601f, 0.006241f,
		0.007782f, 0.009262f, 0.010391f, 0.011795f, 0.012955f, 0.014198f, 0.015518f, 0.016785f, 0.018097f, 0.019409f, 0.020782f, 0.022247f,
		0.023544f, 0.025269f, 0.026749f, 0.028152f, 0.030045f, 0.031555f, 0.033630f, 0.035645f, 0.037567f, 0.039642f, 0.041992f, 0.044281f,
		0.046692f, 0.049042f, 0.052094f, 0.054779f, 0.057831f, 0.060760f, 0.064209f, 0.067627f, 0.071228f, 0.075256f, 0.079224f, 0.083557f,
		0.087891f, 0.092468f, 0.097168f, 0.102356f, 0.107605f, 0.113098f, 0.119019f, 0.124878f, 0.130859f, 0.137451f, 0.144287f, 0.150635f,
		0.157471f, 0.164917f, 0.171997f, 0.179932f, 0.187378f, 0.196899f, 0.521973f, 0.560547f, 0.566895f, 0.569824f, 0.570312f, 0.568848f,
		0.001242f, 0.002674f, 0.004421f, 0.005573f, 0.006882f, 0.008354f, 0.009491f, 0.010559f, 0.011406f, 0.012695f, 0.013893f, 0.014908f,
		0.015854f, 0.017044f, 0.018234f, 0.019501f, 0.020752f, 0.022003f, 0.023254f, 0.024689f, 0.026154f, 0.027802f, 0.029434f, 0.031113f,
		0.032898f, 0.034668f, 0.036774f, 0.038910f, 0.040802f, 0.043030f, 0.045593f, 0.048065f, 0.050873f, 0.053680f, 0.056458f, 0.059692f,
		0.062866f, 0.066467f, 0.069946f, 0.074036f, 0.077942f, 0.082275f, 0.086731f, 0.091614f, 0.096313f, 0.101562f, 0.106934f, 0.112671f,
		0.118591f, 0.124634f, 0.130859f, 0.137207f, 0.144043f, 0.151123f, 0.157593f, 0.165283f, 0.173218f, 0.180664f, 0.510254f, 0.550781f,
		0.558105f, 0.561035f, 0.562012f, 0.562012f, 0.000842f, 0.002552f, 0.003769f, 0.005333f, 0.006149f, 0.007298f, 0.008362f, 0.009224f,
		0.010254f, 0.011230f, 0.012108f, 0.013092f, 0.014000f, 0.014992f, 0.016006f, 0.016953f, 0.017990f, 0.019196f, 0.020142f, 0.021622f,
		0.022827f, 0.024216f, 0.025513f, 0.026993f, 0.028564f, 0.030212f, 0.032013f, 0.033813f, 0.035706f, 0.037598f, 0.039703f, 0.041840f,
		0.044159f, 0.046539f, 0.049347f, 0.052155f, 0.055084f, 0.058228f, 0.061554f, 0.065002f, 0.068909f, 0.072693f, 0.076599f, 0.081238f,
		0.085388f, 0.090515f, 0.095764f, 0.100891f, 0.106689f, 0.112366f, 0.118103f, 0.124634f, 0.130859f, 0.137573f, 0.144287f, 0.151855f,
		0.158447f, 0.166260f, 0.498535f, 0.541992f, 0.549805f, 0.553711f, 0.554199f, 0.554688f, 0.000874f, 0.002186f, 0.003445f, 0.004807f,
		0.005562f, 0.006607f, 0.007378f, 0.008102f, 0.008919f, 0.009666f, 0.010513f, 0.011131f, 0.012039f, 0.012848f, 0.013779f, 0.014671f,
		0.015465f, 0.016464f, 0.017517f, 0.018585f, 0.019730f, 0.020798f, 0.022018f, 0.023300f, 0.024612f, 0.026093f, 0.027374f, 0.029022f,
		0.030624f, 0.032440f, 0.034180f, 0.036285f, 0.038116f, 0.040344f, 0.042725f, 0.045349f, 0.047913f, 0.050476f, 0.053406f, 0.056488f,
		0.059998f, 0.063354f, 0.067383f, 0.071289f, 0.075562f, 0.079834f, 0.084656f, 0.089478f, 0.094849f, 0.100342f, 0.106140f, 0.111877f,
		0.118042f, 0.124573f, 0.130981f, 0.137451f, 0.144653f, 0.152588f, 0.486816f, 0.531738f, 0.541016f, 0.545410f, 0.547363f, 0.546875f,
		0.000667f, 0.002001f, 0.003244f, 0.003895f, 0.004936f, 0.005608f, 0.006477f, 0.006901f, 0.007648f, 0.008354f, 0.009132f, 0.009766f,
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		0.021255f, 0.022232f, 0.023560f, 0.024780f, 0.026108f, 0.027634f, 0.029221f, 0.030762f, 0.032684f, 0.034576f, 0.036621f, 0.038605f,
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		0.609375f, 0.627441f, 0.644531f, 0.662598f, 0.679688f, 0.696777f, 0.714355f, 0.731934f, 0.749512f, 0.768066f, 0.784180f, 0.802246f,
		0.820312f, 0.837891f, 0.854980f, 0.871582f, 0.889648f, 0.906738f, 0.924805f, 0.941406f, 0.959473f, 0.976074f, 0.953125f, 0.895020f,
		0.857422f, 0.827637f, 0.803223f, 0.781738f, 0.006741f, 0.020706f, 0.035187f, 0.049866f, 0.065125f, 0.079895f, 0.095581f, 0.111206f,
		0.126953f, 0.142822f, 0.158569f, 0.174561f, 0.190796f, 0.207031f, 0.223511f, 0.239380f, 0.256104f, 0.272705f, 0.289307f, 0.305664f,
		0.322754f, 0.338867f, 0.356201f, 0.372314f, 0.389404f, 0.406494f, 0.423828f, 0.440430f, 0.457520f, 0.474854f, 0.491211f, 0.508789f,
		0.525391f, 0.541992f, 0.559082f, 0.576660f, 0.594238f, 0.610840f, 0.627930f, 0.645508f, 0.662598f, 0.679199f, 0.696289f, 0.713379f,
		0.731445f, 0.747559f, 0.765137f, 0.782715f, 0.799805f, 0.816895f, 0.834473f, 0.851074f, 0.868164f, 0.884766f, 0.902344f, 0.919434f,
		0.936523f, 0.953613f, 0.942871f, 0.887695f, 0.851562f, 0.823730f, 0.799805f, 0.779297f, 0.006504f, 0.020004f, 0.033875f, 0.048676f,
		0.063110f, 0.077759f, 0.092712f, 0.108032f, 0.123230f, 0.138672f, 0.153931f, 0.170044f, 0.185791f, 0.200806f, 0.217041f, 0.233276f,
		0.248901f, 0.265137f, 0.280762f, 0.297363f, 0.313721f, 0.329834f, 0.346680f, 0.363037f, 0.378418f, 0.395752f, 0.411621f, 0.428467f,
		0.445312f, 0.461670f, 0.479004f, 0.494873f, 0.511230f, 0.527832f, 0.544434f, 0.561523f, 0.578613f, 0.594727f, 0.611328f, 0.628906f,
		0.645508f, 0.662109f, 0.679199f, 0.695312f, 0.712402f, 0.729004f, 0.746094f, 0.762695f, 0.779297f, 0.796387f, 0.812500f, 0.829590f,
		0.846191f, 0.863281f, 0.879395f, 0.896973f, 0.914062f, 0.930176f, 0.932129f, 0.879395f, 0.845703f, 0.818848f, 0.795898f, 0.776367f,
		0.006226f, 0.019318f, 0.032959f, 0.046631f, 0.060699f, 0.075745f, 0.089966f, 0.104553f, 0.119385f, 0.134277f, 0.149292f, 0.164917f,
		0.179932f, 0.195190f, 0.210693f, 0.226562f, 0.242188f, 0.257568f, 0.273438f, 0.289062f, 0.304932f, 0.320557f, 0.336426f, 0.352539f,
		0.368652f, 0.384766f, 0.400391f, 0.417236f, 0.433105f, 0.448730f, 0.465088f, 0.481689f, 0.497559f, 0.513672f, 0.528809f, 0.546875f,
		0.562500f, 0.578613f, 0.595215f, 0.612793f, 0.627930f, 0.645508f, 0.661621f, 0.677246f, 0.693848f, 0.709961f, 0.726562f, 0.743164f,
		0.759766f, 0.774902f, 0.791992f, 0.808594f, 0.825195f, 0.841309f, 0.856934f, 0.874023f, 0.890625f, 0.907715f, 0.921387f, 0.872070f,
		0.839355f, 0.813477f, 0.791504f, 0.772461f, 0.005928f, 0.018997f, 0.031830f, 0.045380f, 0.059235f, 0.072754f, 0.087463f, 0.101562f,
		0.115723f, 0.130371f, 0.145264f, 0.159668f, 0.175049f, 0.189453f, 0.204468f, 0.219482f, 0.234497f, 0.250000f, 0.266113f, 0.280273f,
		0.295410f, 0.311768f, 0.327393f, 0.343018f, 0.357422f, 0.373779f, 0.389404f, 0.404785f, 0.421143f, 0.437012f, 0.452881f, 0.468262f,
		0.484375f, 0.499512f, 0.515137f, 0.531738f, 0.546875f, 0.562500f, 0.579102f, 0.595215f, 0.610840f, 0.627441f, 0.643555f, 0.659180f,
		0.674805f, 0.691406f, 0.708008f, 0.723145f, 0.738770f, 0.755371f, 0.771484f, 0.787598f, 0.803711f, 0.819824f, 0.835449f, 0.851562f,
		0.867676f, 0.884277f, 0.910156f, 0.864258f, 0.832520f, 0.808105f, 0.787109f, 0.769043f, 0.005939f, 0.018066f, 0.030991f, 0.043488f,
		0.057312f, 0.070557f, 0.084473f, 0.098328f, 0.112610f, 0.126587f, 0.140259f, 0.154907f, 0.169678f, 0.184326f, 0.198608f, 0.213379f,
		0.227783f, 0.242065f, 0.257568f, 0.272705f, 0.287109f, 0.302246f, 0.318115f, 0.333252f, 0.347656f, 0.362549f, 0.378418f, 0.393555f,
		0.408936f, 0.423828f, 0.439697f, 0.455078f, 0.471191f, 0.484863f, 0.500488f, 0.517578f, 0.532227f, 0.547363f, 0.562500f, 0.579102f,
		0.594727f, 0.610352f, 0.625488f, 0.641602f, 0.657227f, 0.671875f, 0.687500f, 0.704102f, 0.719238f, 0.733887f, 0.750488f, 0.767090f,
		0.782715f, 0.798340f, 0.813965f, 0.830566f, 0.845215f, 0.862305f, 0.899902f, 0.855469f, 0.825684f, 0.801758f, 0.782227f, 0.764648f,
		0.005684f, 0.017639f, 0.030334f, 0.042572f, 0.055298f, 0.068054f, 0.081787f, 0.095276f, 0.108765f, 0.122192f, 0.136353f, 0.150513f,
		0.164307f, 0.178467f, 0.192627f, 0.206665f, 0.221436f, 0.234985f, 0.249634f, 0.264404f, 0.278564f, 0.293213f, 0.308350f, 0.321533f,
		0.337646f, 0.353027f, 0.367432f, 0.381592f, 0.395996f, 0.411865f, 0.426758f, 0.441895f, 0.456543f, 0.471680f, 0.485840f, 0.501465f,
		0.517090f, 0.531738f, 0.546387f, 0.562012f, 0.576660f, 0.592773f, 0.608398f, 0.623047f, 0.638672f, 0.654297f, 0.668457f, 0.684082f,
		0.699707f, 0.714844f, 0.730469f, 0.745605f, 0.761230f, 0.777832f, 0.791504f, 0.807617f, 0.823242f, 0.839355f, 0.889160f, 0.847656f,
		0.818848f, 0.796387f, 0.776855f, 0.760254f, 0.005417f, 0.017136f, 0.028778f, 0.041016f, 0.054047f, 0.066528f, 0.079590f, 0.092102f,
		0.105225f, 0.118652f, 0.131714f, 0.145630f, 0.158813f, 0.172607f, 0.186523f, 0.200317f, 0.213745f, 0.227905f, 0.242188f, 0.256104f,
		0.270020f, 0.283936f, 0.299072f, 0.312744f, 0.327148f, 0.341797f, 0.355957f, 0.369629f, 0.384766f, 0.399414f, 0.413574f, 0.427490f,
		0.443115f, 0.457764f, 0.472656f, 0.487061f, 0.501465f, 0.516602f, 0.530762f, 0.545898f, 0.560547f, 0.574707f, 0.589844f, 0.605469f,
		0.619629f, 0.633301f, 0.648926f, 0.665527f, 0.679688f, 0.694824f, 0.709961f, 0.725586f, 0.739746f, 0.755371f, 0.770020f, 0.786133f,
		0.802246f, 0.817383f, 0.877930f, 0.838867f, 0.812012f, 0.790039f, 0.771973f, 0.755371f, 0.005520f, 0.016464f, 0.027695f, 0.039948f,
		0.051575f, 0.063965f, 0.076660f, 0.089111f, 0.101807f, 0.114319f, 0.126953f, 0.140381f, 0.153564f, 0.166992f, 0.180298f, 0.193970f,
		0.207153f, 0.220337f, 0.234131f, 0.248169f, 0.261475f, 0.275146f, 0.288818f, 0.302734f, 0.316162f, 0.330566f, 0.345459f, 0.358887f,
		0.372803f, 0.386719f, 0.401367f, 0.415527f, 0.429199f, 0.443848f, 0.458008f, 0.472412f, 0.486572f, 0.500977f, 0.515137f, 0.529785f,
		0.544434f, 0.558105f, 0.572754f, 0.587891f, 0.601074f, 0.617188f, 0.631836f, 0.645020f, 0.660645f, 0.674805f, 0.689453f, 0.704590f,
		0.719727f, 0.734375f, 0.750000f, 0.764160f, 0.780273f, 0.794922f, 0.866699f, 0.830566f, 0.804688f, 0.784180f, 0.766113f, 0.750977f,
		0.005222f, 0.016022f, 0.026962f, 0.038086f, 0.050049f, 0.061798f, 0.074158f, 0.085876f, 0.098145f, 0.110718f, 0.122986f, 0.135864f,
		0.148438f, 0.161133f, 0.173584f, 0.187378f, 0.199707f, 0.213501f, 0.226440f, 0.240112f, 0.252441f, 0.266113f, 0.279785f, 0.292725f,
		0.306152f, 0.320068f, 0.333984f, 0.347900f, 0.361572f, 0.374512f, 0.387695f, 0.402344f, 0.416504f, 0.429688f, 0.443604f, 0.458008f,
		0.471680f, 0.485596f, 0.499023f, 0.513184f, 0.527832f, 0.541016f, 0.555664f, 0.569336f, 0.583984f, 0.598633f, 0.612793f, 0.626465f,
		0.641602f, 0.656250f, 0.669922f, 0.684570f, 0.698730f, 0.713867f, 0.728516f, 0.742188f, 0.757812f, 0.771484f, 0.855957f, 0.822266f,
		0.797852f, 0.777832f, 0.760742f, 0.746094f, 0.004944f, 0.015327f, 0.026230f, 0.037201f, 0.048187f, 0.059448f, 0.071167f, 0.082642f,
		0.094727f, 0.106506f, 0.119019f, 0.130371f, 0.143555f, 0.155640f, 0.167725f, 0.180908f, 0.193604f, 0.206177f, 0.218506f, 0.231812f,
		0.244873f, 0.257568f, 0.270996f, 0.283203f, 0.296387f, 0.309814f, 0.322754f, 0.336670f, 0.348877f, 0.362061f, 0.376465f, 0.389893f,
		0.402588f, 0.415283f, 0.429443f, 0.443115f, 0.457031f, 0.470459f, 0.483887f, 0.497314f, 0.511230f, 0.524414f, 0.538574f, 0.551758f,
		0.565918f, 0.579590f, 0.593750f, 0.606934f, 0.621094f, 0.635254f, 0.649902f, 0.664062f, 0.678223f, 0.692871f, 0.707031f, 0.721191f,
		0.735840f, 0.750488f, 0.846191f, 0.813477f, 0.790527f, 0.770996f, 0.754883f, 0.740723f, 0.004951f, 0.014656f, 0.025253f, 0.035309f,
		0.046417f, 0.057465f, 0.068665f, 0.079773f, 0.091370f, 0.102844f, 0.114441f, 0.126099f, 0.138062f, 0.150391f, 0.161987f, 0.174561f,
		0.186523f, 0.198730f, 0.211060f, 0.223267f, 0.235352f, 0.248779f, 0.260986f, 0.274414f, 0.286621f, 0.298584f, 0.312256f, 0.324463f,
		0.337158f, 0.350342f, 0.363281f, 0.376953f, 0.389404f, 0.402344f, 0.415283f, 0.428955f, 0.441162f, 0.455322f, 0.467285f, 0.481201f,
		0.493896f, 0.507324f, 0.520996f, 0.534668f, 0.547852f, 0.561035f, 0.575195f, 0.588867f, 0.603027f, 0.616211f, 0.630371f, 0.643555f,
		0.658203f, 0.671875f, 0.686035f, 0.699707f, 0.714844f, 0.729492f, 0.833984f, 0.804688f, 0.782227f, 0.764160f, 0.749512f, 0.735352f,
		0.004700f, 0.014343f, 0.024200f, 0.034515f, 0.044586f, 0.055176f, 0.066162f, 0.077209f, 0.087830f, 0.098816f, 0.110413f, 0.121826f,
		0.132690f, 0.144897f, 0.156372f, 0.168213f, 0.179443f, 0.191650f, 0.203369f, 0.215088f, 0.227661f, 0.239990f, 0.251709f, 0.263916f,
		0.276611f, 0.289551f, 0.301270f, 0.313965f, 0.325928f, 0.338135f, 0.350586f, 0.363037f, 0.376465f, 0.388428f, 0.401123f, 0.414062f,
		0.426514f, 0.439209f, 0.452393f, 0.465088f, 0.478271f, 0.491455f, 0.503906f, 0.517090f, 0.530273f, 0.543457f, 0.556641f, 0.570312f,
		0.583008f, 0.597168f, 0.610352f, 0.624512f, 0.638184f, 0.651367f, 0.665527f, 0.679199f, 0.692871f, 0.708496f, 0.823242f, 0.796387f,
		0.774902f, 0.757812f, 0.742676f, 0.729980f, 0.004395f, 0.013802f, 0.023499f, 0.033173f, 0.043121f, 0.053345f, 0.063538f, 0.073730f,
		0.085083f, 0.095581f, 0.106140f, 0.116760f, 0.127930f, 0.139160f, 0.150757f, 0.161621f, 0.173096f, 0.184814f, 0.196289f, 0.207520f,
		0.219971f, 0.231201f, 0.242920f, 0.254150f, 0.266602f, 0.278320f, 0.290527f, 0.302490f, 0.314209f, 0.326904f, 0.338867f, 0.349854f,
		0.362305f, 0.375488f, 0.387451f, 0.400146f, 0.412354f, 0.424805f, 0.436768f, 0.449219f, 0.461914f, 0.475098f, 0.487061f, 0.500000f,
		0.512695f, 0.525391f, 0.538574f, 0.551758f, 0.564453f, 0.577148f, 0.590820f, 0.604004f, 0.618164f, 0.631348f, 0.644531f, 0.658203f,
		0.672363f, 0.686523f, 0.812500f, 0.786621f, 0.767090f, 0.750977f, 0.736816f, 0.724609f, 0.004425f, 0.013405f, 0.022385f, 0.032043f,
		0.041565f, 0.051605f, 0.061340f, 0.071106f, 0.081116f, 0.091125f, 0.101868f, 0.112671f, 0.123169f, 0.133667f, 0.144897f, 0.155029f,
		0.166748f, 0.177246f, 0.188599f, 0.199585f, 0.211182f, 0.222046f, 0.233643f, 0.245361f, 0.255615f, 0.268066f, 0.279053f, 0.291260f,
		0.303223f, 0.314209f, 0.325684f, 0.338379f, 0.349854f, 0.361572f, 0.374023f, 0.385254f, 0.397949f, 0.409912f, 0.421143f, 0.434082f,
		0.445801f, 0.457764f, 0.470215f, 0.482910f, 0.495361f, 0.508301f, 0.520996f, 0.534180f, 0.546387f, 0.560059f, 0.572266f, 0.584961f,
		0.597168f, 0.610840f, 0.624023f, 0.638184f, 0.650879f, 0.666016f, 0.801270f, 0.778320f, 0.760254f, 0.744141f, 0.730469f, 0.719238f,
		0.004261f, 0.012543f, 0.021591f, 0.031052f, 0.039734f, 0.049164f, 0.058838f, 0.068420f, 0.077881f, 0.087402f, 0.098145f, 0.108276f,
		0.118225f, 0.128784f, 0.138550f, 0.149292f, 0.159790f, 0.170654f, 0.181519f, 0.191772f, 0.203003f, 0.213623f, 0.225098f, 0.235107f,
		0.247070f, 0.257324f, 0.269287f, 0.280273f, 0.291260f, 0.302246f, 0.313721f, 0.325439f, 0.336670f, 0.348145f, 0.359619f, 0.371338f,
		0.382812f, 0.395020f, 0.406738f, 0.418213f, 0.429932f, 0.442139f, 0.454102f, 0.466309f, 0.479004f, 0.490723f, 0.502930f, 0.515625f,
		0.526855f, 0.540527f, 0.552246f, 0.565918f, 0.578613f, 0.591309f, 0.604492f, 0.617188f, 0.630859f, 0.644043f, 0.790039f, 0.769531f,
		0.751953f, 0.737305f, 0.724121f, 0.713379f, 0.003983f, 0.012329f, 0.020538f, 0.029312f, 0.038452f, 0.047241f, 0.056244f, 0.065552f,
		0.075195f, 0.084290f, 0.094238f, 0.103638f, 0.113403f, 0.123413f, 0.133057f, 0.143066f, 0.153076f, 0.163696f, 0.173584f, 0.184204f,
		0.194580f, 0.204834f, 0.215332f, 0.225952f, 0.237305f, 0.247803f, 0.258545f, 0.269531f, 0.280518f, 0.291260f, 0.301758f, 0.312988f,
		0.324219f, 0.335205f, 0.346191f, 0.357178f, 0.368896f, 0.380127f, 0.391113f, 0.403076f, 0.414551f, 0.426270f, 0.437500f, 0.449951f,
		0.460938f, 0.473389f, 0.485596f, 0.497314f, 0.509277f, 0.522461f, 0.533691f, 0.546875f, 0.558594f, 0.571289f, 0.583496f, 0.596680f,
		0.608887f, 0.623047f, 0.778809f, 0.761230f, 0.744141f, 0.730957f, 0.718262f, 0.707031f, 0.003717f, 0.012016f, 0.020142f, 0.028137f,
		0.036682f, 0.045441f, 0.053711f, 0.062927f, 0.071777f, 0.080627f, 0.090210f, 0.099060f, 0.108643f, 0.118164f, 0.127808f, 0.137329f,
		0.147095f, 0.156128f, 0.166748f, 0.175903f, 0.186157f, 0.196655f, 0.206909f, 0.216797f, 0.227417f, 0.236816f, 0.247559f, 0.258301f,
		0.268799f, 0.278809f, 0.289795f, 0.299805f, 0.310547f, 0.321777f, 0.333008f, 0.343262f, 0.354492f, 0.365234f, 0.376953f, 0.387939f,
		0.398438f, 0.410400f, 0.421387f, 0.433105f, 0.444824f, 0.455811f, 0.467529f, 0.479736f, 0.491943f, 0.502930f, 0.515625f, 0.527344f,
		0.540039f, 0.551758f, 0.563965f, 0.576660f, 0.589844f, 0.602539f, 0.767578f, 0.751465f, 0.736328f, 0.723633f, 0.711914f, 0.701660f,
		0.003813f, 0.011337f, 0.019028f, 0.027252f, 0.035583f, 0.043396f, 0.051849f, 0.060028f, 0.068481f, 0.077026f, 0.086121f, 0.095093f,
		0.103821f, 0.112610f, 0.121765f, 0.131470f, 0.140503f, 0.149780f, 0.159058f, 0.168701f, 0.178711f, 0.187744f, 0.197998f, 0.207397f,
		0.217651f, 0.227661f, 0.236694f, 0.246704f, 0.257080f, 0.267334f, 0.277832f, 0.288330f, 0.298584f, 0.308838f, 0.319336f, 0.329590f,
		0.340332f, 0.351318f, 0.361816f, 0.372559f, 0.383301f, 0.395020f, 0.405273f, 0.416260f, 0.427734f, 0.439209f, 0.450195f, 0.462158f,
		0.473389f, 0.485107f, 0.497314f, 0.508301f, 0.520996f, 0.533203f, 0.544922f, 0.557617f, 0.568848f, 0.582031f, 0.757324f, 0.742676f,
		0.729004f, 0.716309f, 0.705566f, 0.695801f, 0.003633f, 0.011040f, 0.018280f, 0.026062f, 0.033569f, 0.041229f, 0.049591f, 0.057373f,
		0.065308f, 0.073975f, 0.082214f, 0.090393f, 0.099243f, 0.107544f, 0.116028f, 0.125854f, 0.134155f, 0.143311f, 0.151978f, 0.160767f,
		0.170410f, 0.179321f, 0.188477f, 0.198242f, 0.207764f, 0.217896f, 0.227051f, 0.236328f, 0.246338f, 0.256104f, 0.265869f, 0.276123f,
		0.285645f, 0.295898f, 0.306152f, 0.316162f, 0.326172f, 0.336914f, 0.347412f, 0.358154f, 0.368164f, 0.378906f, 0.389648f, 0.400146f,
		0.410889f, 0.421631f, 0.432861f, 0.444824f, 0.456055f, 0.466797f, 0.479004f, 0.490234f, 0.501465f, 0.514160f, 0.525879f, 0.537598f,
		0.549316f, 0.561523f, 0.745605f, 0.733887f, 0.721191f, 0.708496f, 0.699219f, 0.689453f, 0.003469f, 0.010429f, 0.017609f, 0.024612f,
		0.032135f, 0.039520f, 0.047516f, 0.055206f, 0.062347f, 0.070618f, 0.078308f, 0.085938f, 0.094727f, 0.102417f, 0.111511f, 0.119446f,
		0.127441f, 0.136475f, 0.144897f, 0.154175f, 0.162476f, 0.171509f, 0.180054f, 0.189697f, 0.198486f, 0.207886f, 0.216553f, 0.225830f,
		0.235229f, 0.244873f, 0.254395f, 0.263428f, 0.273193f, 0.283203f, 0.292969f, 0.302734f, 0.312744f, 0.322510f, 0.333008f, 0.342773f,
		0.353027f, 0.363037f, 0.374023f, 0.384521f, 0.395264f, 0.405762f, 0.416260f, 0.427002f, 0.438232f, 0.449219f, 0.460449f, 0.471924f,
		0.482910f, 0.494629f, 0.506348f, 0.517578f, 0.529785f, 0.541504f, 0.734375f, 0.725098f, 0.712891f, 0.701660f, 0.692383f, 0.683594f,
		0.003328f, 0.009804f, 0.016373f, 0.023727f, 0.030746f, 0.037994f, 0.044952f, 0.052032f, 0.059998f, 0.067383f, 0.074707f, 0.082214f,
		0.089783f, 0.097961f, 0.105774f, 0.114197f, 0.122131f, 0.129517f, 0.137695f, 0.146118f, 0.154419f, 0.163330f, 0.171997f, 0.180664f,
		0.188477f, 0.197388f, 0.206055f, 0.215332f, 0.224365f, 0.233765f, 0.242798f, 0.251709f, 0.260986f, 0.270020f, 0.279785f, 0.289062f,
		0.299561f, 0.308594f, 0.318115f, 0.328613f, 0.338135f, 0.348877f, 0.358154f, 0.368408f, 0.378174f, 0.388916f, 0.399658f, 0.410156f,
		0.420898f, 0.431885f, 0.442871f, 0.453369f, 0.463867f, 0.475342f, 0.486572f, 0.498535f, 0.510742f, 0.521973f, 0.723633f, 0.715820f,
		0.705078f, 0.694336f, 0.686035f, 0.677246f, 0.003090f, 0.009628f, 0.016129f, 0.022644f, 0.029068f, 0.036407f, 0.042633f, 0.049866f,
		0.056946f, 0.063904f, 0.071167f, 0.078186f, 0.085327f, 0.092896f, 0.100098f, 0.107788f, 0.115662f, 0.123230f, 0.131104f, 0.139160f,
		0.146973f, 0.154907f, 0.162964f, 0.171265f, 0.179565f, 0.188110f, 0.196777f, 0.204834f, 0.213745f, 0.222168f, 0.231079f, 0.239868f,
		0.248779f, 0.258057f, 0.267090f, 0.276611f, 0.285645f, 0.294434f, 0.304688f, 0.314209f, 0.323242f, 0.332520f, 0.342773f, 0.353027f,
		0.362549f, 0.373047f, 0.383057f, 0.393311f, 0.404053f, 0.414307f, 0.424561f, 0.435059f, 0.445801f, 0.456787f, 0.467773f, 0.479004f,
		0.490479f, 0.501953f, 0.712891f, 0.707031f, 0.696777f, 0.687500f, 0.679199f, 0.671387f, 0.003096f, 0.009026f, 0.015450f, 0.021606f,
		0.027695f, 0.034302f, 0.040833f, 0.047455f, 0.054077f, 0.060669f, 0.067444f, 0.074097f, 0.081604f, 0.088501f, 0.095337f, 0.102295f,
		0.109375f, 0.116821f, 0.124146f, 0.131592f, 0.139404f, 0.147217f, 0.155029f, 0.162231f, 0.170288f, 0.177979f, 0.186646f, 0.194092f,
		0.203247f, 0.211670f, 0.219604f, 0.228149f, 0.236816f, 0.245605f, 0.254639f, 0.263184f, 0.272217f, 0.281250f, 0.290527f, 0.299805f,
		0.308838f, 0.318604f, 0.327637f, 0.337646f, 0.347900f, 0.356934f, 0.367432f, 0.376953f, 0.387451f, 0.397217f, 0.407227f, 0.417480f,
		0.427979f, 0.439209f, 0.449463f, 0.459717f, 0.470947f, 0.482666f, 0.701172f, 0.698242f, 0.688477f, 0.680176f, 0.671875f, 0.665039f,
		0.002831f, 0.008789f, 0.014702f, 0.020523f, 0.026642f, 0.032684f, 0.038757f, 0.044708f, 0.051666f, 0.057312f, 0.063660f, 0.070190f,
		0.076904f, 0.083435f, 0.090454f, 0.097046f, 0.103821f, 0.110535f, 0.117981f, 0.124817f, 0.131714f, 0.138916f, 0.146606f, 0.153687f,
		0.161011f, 0.168823f, 0.176270f, 0.184570f, 0.192139f, 0.200317f, 0.208008f, 0.216309f, 0.224609f, 0.233032f, 0.241821f, 0.250244f,
		0.258789f, 0.268066f, 0.276611f, 0.285400f, 0.294678f, 0.303223f, 0.312500f, 0.322021f, 0.331787f, 0.340088f, 0.350830f, 0.360596f,
		0.369385f, 0.380371f, 0.389893f, 0.399658f, 0.410645f, 0.420654f, 0.430908f, 0.442383f, 0.452148f, 0.464111f, 0.690430f, 0.688965f,
		0.681152f, 0.672852f, 0.665039f, 0.658691f, 0.002712f, 0.008553f, 0.013878f, 0.019638f, 0.025360f, 0.030716f, 0.037231f, 0.042633f,
		0.048615f, 0.054810f, 0.060638f, 0.066650f, 0.072205f, 0.078796f, 0.085083f, 0.091492f, 0.097961f, 0.104065f, 0.110718f, 0.117859f,
		0.124207f, 0.130981f, 0.138550f, 0.145142f, 0.152588f, 0.160156f, 0.166992f, 0.174561f, 0.181885f, 0.189453f, 0.197754f, 0.205444f,
		0.213013f, 0.220825f, 0.229004f, 0.237061f, 0.246094f, 0.254639f, 0.262939f, 0.271484f, 0.280273f, 0.288818f, 0.298584f, 0.307129f,
		0.316162f, 0.325195f, 0.334229f, 0.344482f, 0.353516f, 0.363525f, 0.372803f, 0.382812f, 0.392822f, 0.402344f, 0.412842f, 0.423096f,
		0.433350f, 0.444092f, 0.679199f, 0.679688f, 0.672852f, 0.665039f, 0.658203f, 0.651855f, 0.002674f, 0.007828f, 0.013290f, 0.018723f,
		0.023743f, 0.029160f, 0.034790f, 0.040100f, 0.045929f, 0.051544f, 0.057068f, 0.063110f, 0.068359f, 0.074280f, 0.080078f, 0.086243f,
		0.092346f, 0.098206f, 0.104919f, 0.110779f, 0.117493f, 0.123291f, 0.130005f, 0.136963f, 0.143677f, 0.150635f, 0.157471f, 0.164307f,
		0.171631f, 0.179199f, 0.186279f, 0.193604f, 0.201904f, 0.209229f, 0.217163f, 0.224976f, 0.233154f, 0.240967f, 0.249634f, 0.258301f,
		0.266113f, 0.274414f, 0.283691f, 0.291748f, 0.301025f, 0.310059f, 0.319336f, 0.327148f, 0.337402f, 0.347168f, 0.355957f, 0.364746f,
		0.375488f, 0.385498f, 0.394043f, 0.405273f, 0.415283f, 0.426025f, 0.667969f, 0.670410f, 0.664551f, 0.657227f, 0.651367f, 0.645508f,
		0.002731f, 0.007622f, 0.012627f, 0.017868f, 0.022781f, 0.028107f, 0.032959f, 0.037811f, 0.043121f, 0.048615f, 0.053925f, 0.059235f,
		0.064514f, 0.070007f, 0.075562f, 0.080688f, 0.086914f, 0.092102f, 0.098083f, 0.104309f, 0.110107f, 0.115906f, 0.122314f, 0.128540f,
		0.135010f, 0.141479f, 0.147949f, 0.154663f, 0.161865f, 0.168579f, 0.175415f, 0.182739f, 0.191040f, 0.197510f, 0.205200f, 0.212891f,
		0.219971f, 0.228638f, 0.236328f, 0.244263f, 0.252686f, 0.260498f, 0.268799f, 0.278076f, 0.286133f, 0.294434f, 0.303223f, 0.312500f,
		0.320801f, 0.329834f, 0.339844f, 0.347656f, 0.357910f, 0.367676f, 0.376709f, 0.386963f, 0.396729f, 0.406982f, 0.656738f, 0.662598f,
		0.656738f, 0.649902f, 0.644531f, 0.638672f, 0.002411f, 0.007168f, 0.012238f, 0.016739f, 0.021957f, 0.026184f, 0.031311f, 0.035583f,
		0.041016f, 0.045685f, 0.050568f, 0.055573f, 0.060791f, 0.065735f, 0.070557f, 0.076111f, 0.081238f, 0.086792f, 0.092163f, 0.097534f,
		0.103271f, 0.108887f, 0.114563f, 0.120605f, 0.126587f, 0.132446f, 0.139038f, 0.145508f, 0.152100f, 0.158447f, 0.165527f, 0.171997f,
		0.178833f, 0.186035f, 0.193481f, 0.200928f, 0.207886f, 0.215820f, 0.222900f, 0.230713f, 0.238770f, 0.246948f, 0.255127f, 0.262695f,
		0.271484f, 0.280029f, 0.287842f, 0.296631f, 0.305420f, 0.313965f, 0.322754f, 0.331787f, 0.340576f, 0.350342f, 0.359375f, 0.369385f,
		0.379150f, 0.388184f, 0.645508f, 0.652832f, 0.648438f, 0.643066f, 0.637695f, 0.632324f, 0.002480f, 0.006691f, 0.011452f, 0.015900f,
		0.020828f, 0.024734f, 0.029327f, 0.033752f, 0.038513f, 0.042999f, 0.047638f, 0.052429f, 0.056671f, 0.061859f, 0.066040f, 0.071289f,
		0.075684f, 0.080688f, 0.086243f, 0.091248f, 0.096436f, 0.101562f, 0.107300f, 0.112366f, 0.118347f, 0.124146f, 0.130249f, 0.135864f,
		0.141968f, 0.148438f, 0.155029f, 0.161377f, 0.167969f, 0.174683f, 0.181641f, 0.188599f, 0.195679f, 0.203247f, 0.210449f, 0.217529f,
		0.225342f, 0.233398f, 0.241577f, 0.249023f, 0.256592f, 0.264893f, 0.273193f, 0.281494f, 0.289795f, 0.297607f, 0.306885f, 0.315430f,
		0.323730f, 0.333496f, 0.342529f, 0.351318f, 0.360840f, 0.370605f, 0.634766f, 0.643555f, 0.640625f, 0.635742f, 0.630859f, 0.625488f,
		0.002230f, 0.006477f, 0.010582f, 0.014870f, 0.019073f, 0.023270f, 0.027893f, 0.031860f, 0.036072f, 0.040253f, 0.044373f, 0.048706f,
		0.052856f, 0.057312f, 0.061859f, 0.066406f, 0.070984f, 0.075317f, 0.080139f, 0.084839f, 0.089661f, 0.094910f, 0.099792f, 0.104858f,
		0.110718f, 0.115356f, 0.121399f, 0.126831f, 0.132690f, 0.138672f, 0.145142f, 0.151001f, 0.157471f, 0.164185f, 0.170532f, 0.177002f,
		0.184082f, 0.191040f, 0.197876f, 0.205200f, 0.212402f, 0.219604f, 0.227295f, 0.234985f, 0.242188f, 0.250244f, 0.257812f, 0.266113f,
		0.274170f, 0.282471f, 0.290771f, 0.299072f, 0.307373f, 0.316162f, 0.326416f, 0.333984f, 0.343750f, 0.353271f, 0.622070f, 0.634277f,
		0.631836f, 0.627930f, 0.623535f, 0.619141f, 0.002220f, 0.006039f, 0.010353f, 0.014328f, 0.017838f, 0.022141f, 0.025742f, 0.029510f,
		0.033600f, 0.037781f, 0.041443f, 0.045502f, 0.049469f, 0.053436f, 0.057190f, 0.061462f, 0.065735f, 0.069946f, 0.074524f, 0.078674f,
		0.083069f, 0.087830f, 0.092468f, 0.097412f, 0.102783f, 0.107910f, 0.112793f, 0.118164f, 0.123901f, 0.129395f, 0.135132f, 0.140991f,
		0.147339f, 0.152954f, 0.159302f, 0.165527f, 0.172363f, 0.178589f, 0.185425f, 0.191895f, 0.199219f, 0.206665f, 0.213989f, 0.221069f,
		0.228516f, 0.236206f, 0.243042f, 0.251709f, 0.258789f, 0.266846f, 0.275146f, 0.283203f, 0.291260f, 0.300537f, 0.308350f, 0.317627f,
		0.326904f, 0.335938f, 0.611816f, 0.625000f, 0.624023f, 0.620117f, 0.616211f, 0.612793f, 0.001965f, 0.005882f, 0.009613f, 0.013184f,
		0.016785f, 0.020370f, 0.024384f, 0.027664f, 0.031311f, 0.035126f, 0.038727f, 0.042572f, 0.046112f, 0.049347f, 0.053253f, 0.056915f,
		0.060883f, 0.064697f, 0.068909f, 0.072693f, 0.076843f, 0.081055f, 0.085754f, 0.090088f, 0.094849f, 0.099609f, 0.104614f, 0.109741f,
		0.114746f, 0.119995f, 0.125488f, 0.130981f, 0.136719f, 0.142700f, 0.148315f, 0.154541f, 0.160522f, 0.166870f, 0.173828f, 0.179932f,
		0.186768f, 0.193604f, 0.200439f, 0.207764f, 0.214844f, 0.221802f, 0.228882f, 0.236328f, 0.244385f, 0.252197f, 0.259277f, 0.268066f,
		0.275635f, 0.283447f, 0.292236f, 0.301270f, 0.309570f, 0.318848f, 0.600098f, 0.616211f, 0.615234f, 0.612793f, 0.609375f, 0.605469f,
		0.001966f, 0.005653f, 0.009109f, 0.012428f, 0.015945f, 0.018967f, 0.022537f, 0.025894f, 0.029175f, 0.032440f, 0.035797f, 0.038818f,
		0.042389f, 0.046051f, 0.049072f, 0.052521f, 0.056335f, 0.059906f, 0.063293f, 0.067017f, 0.070923f, 0.075134f, 0.078979f, 0.083496f,
		0.087646f, 0.091980f, 0.096619f, 0.101196f, 0.105957f, 0.111145f, 0.116028f, 0.121277f, 0.126831f, 0.132080f, 0.137817f, 0.143311f,
		0.149780f, 0.155029f, 0.161621f, 0.167847f, 0.173950f, 0.180786f, 0.187622f, 0.194214f, 0.201050f, 0.207764f, 0.215210f, 0.222046f,
		0.229370f, 0.236816f, 0.244751f, 0.251953f, 0.260010f, 0.268311f, 0.276123f, 0.284180f, 0.293213f, 0.301514f, 0.588379f, 0.606934f,
		0.607422f, 0.604980f, 0.602051f, 0.599609f, 0.001963f, 0.005333f, 0.008377f, 0.011589f, 0.014450f, 0.017593f, 0.021133f, 0.023972f,
		0.027145f, 0.030075f, 0.033295f, 0.035858f, 0.038818f, 0.041992f, 0.045288f, 0.048279f, 0.051849f, 0.054840f, 0.058289f, 0.061737f,
		0.065186f, 0.068848f, 0.072632f, 0.076721f, 0.080505f, 0.084717f, 0.088806f, 0.093079f, 0.097717f, 0.102356f, 0.106934f, 0.111755f,
		0.116882f, 0.121887f, 0.127319f, 0.132935f, 0.138306f, 0.144287f, 0.149902f, 0.156250f, 0.162109f, 0.168579f, 0.174316f, 0.180908f,
		0.187500f, 0.194458f, 0.201538f, 0.208252f, 0.215210f, 0.222656f, 0.229980f, 0.237061f, 0.244629f, 0.252441f, 0.260254f, 0.267334f,
		0.276123f, 0.284180f, 0.576660f, 0.597656f, 0.599609f, 0.598145f, 0.595215f, 0.591797f, 0.001631f, 0.004906f, 0.007805f, 0.010826f,
		0.013802f, 0.016983f, 0.019485f, 0.022079f, 0.024750f, 0.027939f, 0.030136f, 0.033112f, 0.035797f, 0.038727f, 0.041443f, 0.044281f,
		0.047058f, 0.050018f, 0.053253f, 0.056396f, 0.059662f, 0.063049f, 0.066406f, 0.069946f, 0.073730f, 0.077454f, 0.081360f, 0.085388f,
		0.089417f, 0.093750f, 0.098267f, 0.102844f, 0.107727f, 0.112244f, 0.117615f, 0.122253f, 0.127441f, 0.133057f, 0.138550f, 0.144287f,
		0.150024f, 0.156250f, 0.161987f, 0.167969f, 0.174805f, 0.181274f, 0.187744f, 0.194580f, 0.201294f, 0.208374f, 0.215210f, 0.222412f,
		0.229736f, 0.237183f, 0.244629f, 0.252197f, 0.260010f, 0.269287f, 0.566406f, 0.588867f, 0.590820f, 0.590332f, 0.587891f, 0.585938f,
		0.001858f, 0.004318f, 0.007465f, 0.010246f, 0.012550f, 0.015793f, 0.018143f, 0.020782f, 0.022980f, 0.025116f, 0.027924f, 0.030106f,
		0.032623f, 0.035126f, 0.037720f, 0.040283f, 0.042847f, 0.045380f, 0.048492f, 0.051300f, 0.054321f, 0.057373f, 0.060516f, 0.063599f,
		0.067139f, 0.070496f, 0.074219f, 0.078003f, 0.081848f, 0.085754f, 0.089783f, 0.093994f, 0.098267f, 0.102783f, 0.107239f, 0.112366f,
		0.117371f, 0.122498f, 0.127686f, 0.132935f, 0.138428f, 0.144043f, 0.150024f, 0.155884f, 0.161865f, 0.168091f, 0.174316f, 0.180664f,
		0.187622f, 0.194214f, 0.200928f, 0.207520f, 0.214966f, 0.221680f, 0.229370f, 0.236816f, 0.244751f, 0.252441f, 0.553223f, 0.579102f,
		0.583496f, 0.582031f, 0.581055f, 0.579590f, 0.001425f, 0.004284f, 0.007019f, 0.009521f, 0.011894f, 0.014191f, 0.016632f, 0.018723f,
		0.021210f, 0.023209f, 0.025482f, 0.027344f, 0.029617f, 0.032043f, 0.034210f, 0.036407f, 0.039001f, 0.041077f, 0.043976f, 0.046448f,
		0.049133f, 0.051819f, 0.054932f, 0.057770f, 0.060730f, 0.063965f, 0.067322f, 0.070862f, 0.074280f, 0.077698f, 0.082031f, 0.085571f,
		0.089844f, 0.093994f, 0.098022f, 0.102722f, 0.107178f, 0.111877f, 0.116821f, 0.121887f, 0.127075f, 0.132446f, 0.138062f, 0.143799f,
		0.149414f, 0.155518f, 0.161377f, 0.167480f, 0.173950f, 0.180176f, 0.186890f, 0.193481f, 0.200562f, 0.207397f, 0.214355f, 0.221313f,
		0.229492f, 0.237427f, 0.541504f, 0.570801f, 0.575195f, 0.575195f, 0.573730f, 0.572266f, 0.001613f, 0.004181f, 0.006252f, 0.008774f,
		0.011108f, 0.013054f, 0.015152f, 0.016937f, 0.019150f, 0.021011f, 0.023163f, 0.024826f, 0.026993f, 0.028793f, 0.030823f, 0.033081f,
		0.035156f, 0.037201f, 0.039612f, 0.041748f, 0.044464f, 0.046814f, 0.049438f, 0.052155f, 0.054840f, 0.057831f, 0.060699f, 0.063599f,
		0.067078f, 0.070374f, 0.073853f, 0.077087f, 0.081177f, 0.085083f, 0.089111f, 0.093262f, 0.097473f, 0.101929f, 0.106689f, 0.111023f,
		0.116455f, 0.121277f, 0.126343f, 0.132080f, 0.137573f, 0.142700f, 0.148682f, 0.154907f, 0.161133f, 0.167236f, 0.173340f, 0.179688f,
		0.186768f, 0.193115f, 0.200684f, 0.207275f, 0.214233f, 0.221924f, 0.530273f, 0.561523f, 0.565430f, 0.567383f, 0.564941f, 0.564941f,
		0.001237f, 0.003775f, 0.006348f, 0.008141f, 0.010117f, 0.012184f, 0.013763f, 0.015656f, 0.017319f, 0.018967f, 0.020645f, 0.022507f,
		0.023926f, 0.025757f, 0.027573f, 0.029449f, 0.031677f, 0.033325f, 0.035645f, 0.037659f, 0.039734f, 0.041809f, 0.044189f, 0.046692f,
		0.049133f, 0.051697f, 0.054504f, 0.057251f, 0.060059f, 0.063110f, 0.066467f, 0.069763f, 0.072937f, 0.076477f, 0.080505f, 0.084290f,
		0.088013f, 0.092407f, 0.096436f, 0.101013f, 0.105713f, 0.110352f, 0.115356f, 0.120605f, 0.125488f, 0.130981f, 0.136353f, 0.142090f,
		0.148438f, 0.153931f, 0.159912f, 0.166260f, 0.172485f, 0.179321f, 0.185791f, 0.193115f, 0.199463f, 0.206665f, 0.520020f, 0.552246f,
		0.558105f, 0.559570f, 0.559082f, 0.557617f, 0.001151f, 0.003399f, 0.005611f, 0.007439f, 0.009354f, 0.010925f, 0.012489f, 0.014061f,
		0.015610f, 0.017258f, 0.018845f, 0.020248f, 0.021484f, 0.023193f, 0.024796f, 0.026459f, 0.028183f, 0.029785f, 0.031738f, 0.033386f,
		0.035309f, 0.037384f, 0.039368f, 0.041626f, 0.043701f, 0.046204f, 0.048553f, 0.051178f, 0.053955f, 0.056488f, 0.059418f, 0.062256f,
		0.065308f, 0.068542f, 0.071899f, 0.075623f, 0.079224f, 0.082947f, 0.087097f, 0.091064f, 0.095520f, 0.099854f, 0.104736f, 0.109314f,
		0.114136f, 0.119324f, 0.124756f, 0.130127f, 0.135498f, 0.141113f, 0.146973f, 0.153198f, 0.159180f, 0.165527f, 0.172241f, 0.178711f,
		0.185425f, 0.192749f, 0.507324f, 0.543945f, 0.549316f, 0.552246f, 0.551270f, 0.551270f, 0.001070f, 0.002996f, 0.004986f, 0.006851f,
		0.008514f, 0.009850f, 0.011330f, 0.012596f, 0.014015f, 0.015259f, 0.016586f, 0.017731f, 0.019287f, 0.020676f, 0.022079f, 0.023468f,
		0.024765f, 0.026489f, 0.028030f, 0.029465f, 0.031311f, 0.032898f, 0.034851f, 0.036743f, 0.038940f, 0.040833f, 0.043091f, 0.045074f,
		0.047729f, 0.050079f, 0.052673f, 0.055389f, 0.058136f, 0.061188f, 0.064087f, 0.067261f, 0.070618f, 0.074158f, 0.077942f, 0.081726f,
		0.085815f, 0.089783f, 0.094055f, 0.098572f, 0.103088f, 0.107971f, 0.113037f, 0.118164f, 0.123413f, 0.128784f, 0.134521f, 0.140137f,
		0.146118f, 0.152100f, 0.158325f, 0.164307f, 0.171387f, 0.177368f, 0.496094f, 0.534668f, 0.541992f, 0.543945f, 0.544434f, 0.544434f,
		0.001086f, 0.003069f, 0.004463f, 0.006256f, 0.007393f, 0.009026f, 0.010178f, 0.011276f, 0.012260f, 0.013542f, 0.014648f, 0.015808f,
		0.016861f, 0.017899f, 0.019333f, 0.020599f, 0.021942f, 0.023117f, 0.024384f, 0.025833f, 0.027344f, 0.028992f, 0.030579f, 0.032318f,
		0.034149f, 0.035828f, 0.037842f, 0.039764f, 0.041901f, 0.044037f, 0.046539f, 0.048645f, 0.051147f, 0.053894f, 0.056641f, 0.059631f,
		0.062500f, 0.065735f, 0.069031f, 0.072754f, 0.076294f, 0.080139f, 0.083984f, 0.088379f, 0.092712f, 0.097229f, 0.101929f, 0.106873f,
		0.111694f, 0.117004f, 0.122314f, 0.127930f, 0.133789f, 0.139282f, 0.145142f, 0.151367f, 0.157349f, 0.163818f, 0.484619f, 0.525391f,
		0.534180f, 0.536621f, 0.536133f, 0.536621f, 0.001125f, 0.002892f, 0.003883f, 0.005867f, 0.006603f, 0.007935f, 0.009026f, 0.009911f,
		0.010956f, 0.012077f, 0.012909f, 0.013901f, 0.014977f, 0.015671f, 0.016983f, 0.018021f, 0.019058f, 0.020279f, 0.021225f, 0.022598f,
		0.023941f, 0.025299f, 0.026535f, 0.028107f, 0.029755f, 0.031113f, 0.033020f, 0.034668f, 0.036682f, 0.038483f, 0.040527f, 0.042511f,
		0.044708f, 0.046936f, 0.049744f, 0.052216f, 0.054840f, 0.057800f, 0.060791f, 0.064087f, 0.067505f, 0.071045f, 0.074463f, 0.078491f,
		0.082397f, 0.086609f, 0.091248f, 0.095581f, 0.100342f, 0.105530f, 0.110474f, 0.116272f, 0.120972f, 0.126953f, 0.132812f, 0.138672f,
		0.144287f, 0.150513f, 0.472412f, 0.516113f, 0.524902f, 0.528809f, 0.529785f, 0.529785f, 0.000859f, 0.002470f, 0.003815f, 0.005226f,
		0.005913f, 0.007206f, 0.007942f, 0.008652f, 0.009583f, 0.010406f, 0.011223f, 0.011971f, 0.012856f, 0.013664f, 0.014664f, 0.015549f,
		0.016464f, 0.017487f, 0.018478f, 0.019592f, 0.020767f, 0.021774f, 0.023117f, 0.024338f, 0.025604f, 0.027008f, 0.028519f, 0.029953f,
		0.031525f, 0.033173f, 0.034943f, 0.036865f, 0.038696f, 0.040863f, 0.042969f, 0.045471f, 0.048004f, 0.050293f, 0.052979f, 0.055847f,
		0.058960f, 0.062042f, 0.065491f, 0.069153f, 0.072937f, 0.076660f, 0.080750f, 0.085144f, 0.089539f, 0.094177f, 0.099304f, 0.104187f,
		0.109741f, 0.114807f, 0.120483f, 0.125977f, 0.131836f, 0.138306f, 0.460449f, 0.507812f, 0.516602f, 0.520020f, 0.522461f, 0.522949f,
		0.000906f, 0.002359f, 0.003643f, 0.004356f, 0.005310f, 0.005989f, 0.007030f, 0.007507f, 0.008255f, 0.009010f, 0.009834f, 0.010483f,
		0.011230f, 0.011887f, 0.012573f, 0.013367f, 0.014252f, 0.014954f, 0.015900f, 0.016785f, 0.017776f, 0.018631f, 0.019775f, 0.020874f,
		0.022110f, 0.023117f, 0.024368f, 0.025589f, 0.026932f, 0.028549f, 0.029938f, 0.031525f, 0.033325f, 0.035187f, 0.037109f, 0.038971f,
		0.041138f, 0.043396f, 0.045715f, 0.048370f, 0.051025f, 0.053772f, 0.057129f, 0.060089f, 0.063416f, 0.067261f, 0.070679f, 0.075012f,
		0.079285f, 0.083618f, 0.088379f, 0.093018f, 0.098083f, 0.102478f, 0.108093f, 0.114380f, 0.119507f, 0.125488f, 0.448975f, 0.498291f,
		0.508789f, 0.513672f, 0.514648f, 0.516113f, 0.000728f, 0.001932f, 0.003067f, 0.003990f, 0.004784f, 0.005295f, 0.005974f, 0.006584f,
		0.007099f, 0.007652f, 0.008255f, 0.008904f, 0.009491f, 0.010109f, 0.010658f, 0.011497f, 0.012131f, 0.012718f, 0.013535f, 0.014336f,
		0.015083f, 0.016083f, 0.016785f, 0.017761f, 0.018738f, 0.019669f, 0.020691f, 0.021805f, 0.023010f, 0.024170f, 0.025467f, 0.026794f,
		0.028336f, 0.029922f, 0.031555f, 0.033203f, 0.035034f, 0.036987f, 0.039062f, 0.041290f, 0.043671f, 0.046143f, 0.048920f, 0.051880f,
		0.054901f, 0.058228f, 0.061615f, 0.065369f, 0.069214f, 0.073425f, 0.077637f, 0.082214f, 0.087097f, 0.091797f, 0.096497f, 0.102356f,
		0.107483f, 0.113464f, 0.437256f, 0.489746f, 0.500977f, 0.504883f, 0.507812f, 0.509277f, 0.000724f, 0.001842f, 0.002728f, 0.003332f,
		0.004101f, 0.004707f, 0.005020f, 0.005497f, 0.006245f, 0.006603f, 0.007027f, 0.007515f, 0.008156f, 0.008537f, 0.009125f, 0.009659f,
		0.010101f, 0.010864f, 0.011482f, 0.012070f, 0.012756f, 0.013496f, 0.014236f, 0.014931f, 0.015808f, 0.016632f, 0.017487f, 0.018433f,
		0.019379f, 0.020416f, 0.021530f, 0.022583f, 0.023804f, 0.024979f, 0.026443f, 0.027939f, 0.029526f, 0.031235f, 0.033020f, 0.035004f,
		0.037018f, 0.039185f, 0.041595f, 0.044159f, 0.046783f, 0.049866f, 0.052856f, 0.056274f, 0.059906f, 0.063721f, 0.067749f, 0.072327f,
		0.076172f, 0.081299f, 0.085938f, 0.091309f, 0.096558f, 0.101807f, 0.426270f, 0.480469f, 0.492676f, 0.498047f, 0.500488f, 0.501953f,
		0.000673f, 0.001715f, 0.002426f, 0.002953f, 0.003588f, 0.003944f, 0.004200f, 0.004776f, 0.005131f, 0.005527f, 0.005886f, 0.006371f,
		0.006790f, 0.007076f, 0.007538f, 0.008133f, 0.008644f, 0.009140f, 0.009483f, 0.010071f, 0.010689f, 0.011230f, 0.011879f, 0.012474f,
		0.013222f, 0.013916f, 0.014587f, 0.015411f, 0.016190f, 0.016983f, 0.017883f, 0.018845f, 0.019867f, 0.020935f, 0.022141f, 0.023270f,
		0.024567f, 0.026001f, 0.027481f, 0.029114f, 0.030777f, 0.032684f, 0.034698f, 0.036865f, 0.039337f, 0.041748f, 0.044647f, 0.047882f,
		0.050964f, 0.054260f, 0.058258f, 0.062195f, 0.066528f, 0.070679f, 0.075623f, 0.080505f, 0.085510f, 0.090515f, 0.414307f, 0.472168f,
		0.484131f, 0.490234f, 0.492920f, 0.495850f, 0.000484f, 0.001445f, 0.002169f, 0.002569f, 0.002836f, 0.003317f, 0.003569f, 0.003952f,
		0.004215f, 0.004623f, 0.004959f, 0.005306f, 0.005592f, 0.005951f, 0.006306f, 0.006737f, 0.007004f, 0.007492f, 0.007942f, 0.008331f,
		0.008865f, 0.009270f, 0.009781f, 0.010338f, 0.010887f, 0.011429f, 0.012047f, 0.012726f, 0.013336f, 0.014030f, 0.014771f, 0.015572f,
		0.016418f, 0.017258f, 0.018234f, 0.019196f, 0.020279f, 0.021423f, 0.022675f, 0.023987f, 0.025375f, 0.027039f, 0.028702f, 0.030563f,
		0.032623f, 0.034698f, 0.037262f, 0.040039f, 0.042664f, 0.046051f, 0.049194f, 0.052948f, 0.057129f, 0.061371f, 0.065613f, 0.070007f,
		0.075317f, 0.080200f, 0.402588f, 0.462402f, 0.476807f, 0.482666f, 0.485107f, 0.487061f, 0.000459f, 0.001265f, 0.001572f, 0.002138f,
		0.002365f, 0.002775f, 0.002920f, 0.003189f, 0.003454f, 0.003723f, 0.003986f, 0.004250f, 0.004536f, 0.004906f, 0.005150f, 0.005463f,
		0.005787f, 0.006172f, 0.006481f, 0.006794f, 0.007156f, 0.007542f, 0.007980f, 0.008430f, 0.008827f, 0.009361f, 0.009796f, 0.010300f,
		0.010910f, 0.011497f, 0.012161f, 0.012672f, 0.013336f, 0.014183f, 0.014893f, 0.015640f, 0.016541f, 0.017517f, 0.018448f, 0.019485f,
		0.020676f, 0.021912f, 0.023392f, 0.024979f, 0.026627f, 0.028351f, 0.030457f, 0.032806f, 0.035034f, 0.037933f, 0.041229f, 0.044373f,
		0.047821f, 0.052002f, 0.056244f, 0.060547f, 0.065247f, 0.069885f, 0.390869f, 0.453857f, 0.468018f, 0.475098f, 0.478027f, 0.480469f,
		0.000332f, 0.001075f, 0.001464f, 0.001721f, 0.001911f, 0.002235f, 0.002375f, 0.002558f, 0.002834f, 0.002998f, 0.003185f, 0.003441f,
		0.003647f, 0.003952f, 0.004139f, 0.004421f, 0.004631f, 0.004879f, 0.005180f, 0.005447f, 0.005795f, 0.006115f, 0.006416f, 0.006718f,
		0.007099f, 0.007462f, 0.007881f, 0.008331f, 0.008797f, 0.009140f, 0.009735f, 0.010223f, 0.010803f, 0.011337f, 0.011986f, 0.012611f,
		0.013283f, 0.014076f, 0.014847f, 0.015732f, 0.016693f, 0.017700f, 0.018784f, 0.019897f, 0.021317f, 0.022873f, 0.024429f, 0.026306f,
		0.028473f, 0.030960f, 0.033600f, 0.036407f, 0.039856f, 0.043549f, 0.047119f, 0.051392f, 0.055969f, 0.060394f, 0.379639f, 0.444580f,
		0.458984f, 0.467529f, 0.470947f, 0.472900f, 0.000408f, 0.000770f, 0.001271f, 0.001390f, 0.001601f, 0.001762f, 0.001848f, 0.002052f,
		0.002247f, 0.002401f, 0.002491f, 0.002684f, 0.002878f, 0.003086f, 0.003304f, 0.003452f, 0.003626f, 0.003805f, 0.004074f, 0.004257f,
		0.004513f, 0.004807f, 0.005039f, 0.005299f, 0.005638f, 0.005905f, 0.006191f, 0.006516f, 0.006927f, 0.007206f, 0.007645f, 0.008034f,
		0.008415f, 0.008911f, 0.009384f, 0.009941f, 0.010483f, 0.011116f, 0.011711f, 0.012428f, 0.013191f, 0.013969f, 0.014862f, 0.015854f,
		0.016785f, 0.017975f, 0.019348f, 0.020721f, 0.022461f, 0.024445f, 0.026733f, 0.029175f, 0.032227f, 0.035248f, 0.038788f, 0.042755f,
		0.046967f, 0.051636f, 0.367920f, 0.435059f, 0.452148f, 0.459229f, 0.463623f, 0.466797f, 0.000382f, 0.000669f, 0.001037f, 0.001185f,
		0.001293f, 0.001379f, 0.001470f, 0.001565f, 0.001729f, 0.001864f, 0.001928f, 0.002138f, 0.002237f, 0.002398f, 0.002510f, 0.002672f,
		0.002802f, 0.002966f, 0.003134f, 0.003319f, 0.003517f, 0.003723f, 0.003870f, 0.004089f, 0.004311f, 0.004532f, 0.004772f, 0.005013f,
		0.005314f, 0.005573f, 0.005924f, 0.006203f, 0.006523f, 0.006897f, 0.007240f, 0.007660f, 0.008041f, 0.008530f, 0.009048f, 0.009621f,
		0.010201f, 0.010841f, 0.011467f, 0.012192f, 0.013138f, 0.013969f, 0.014931f, 0.016113f, 0.017380f, 0.018936f, 0.020630f, 0.022751f,
		0.025208f, 0.027924f, 0.031311f, 0.034851f, 0.038879f, 0.043274f, 0.356689f, 0.426270f, 0.443848f, 0.451660f, 0.456055f, 0.459473f,
		0.000482f, 0.000542f, 0.000723f, 0.000822f, 0.000881f, 0.001025f, 0.001100f, 0.001209f, 0.001249f, 0.001355f, 0.001522f, 0.001599f,
		0.001708f, 0.001836f, 0.001918f, 0.001970f, 0.002129f, 0.002251f, 0.002357f, 0.002522f, 0.002636f, 0.002768f, 0.002911f, 0.003056f,
		0.003237f, 0.003393f, 0.003605f, 0.003771f, 0.003994f, 0.004234f, 0.004444f, 0.004635f, 0.004932f, 0.005150f, 0.005486f, 0.005779f,
		0.006081f, 0.006458f, 0.006775f, 0.007179f, 0.007668f, 0.008110f, 0.008690f, 0.009209f, 0.009926f, 0.010551f, 0.011330f, 0.012184f,
		0.013184f, 0.014297f, 0.015610f, 0.017181f, 0.019165f, 0.021500f, 0.024384f, 0.027618f, 0.031372f, 0.035614f, 0.345459f, 0.417236f,
		0.435303f, 0.443604f, 0.448730f, 0.451904f, 0.000240f, 0.000479f, 0.000533f, 0.000625f, 0.000716f, 0.000746f, 0.000857f, 0.000835f,
		0.000941f, 0.001024f, 0.001104f, 0.001155f, 0.001204f, 0.001282f, 0.001396f, 0.001453f, 0.001554f, 0.001627f, 0.001737f, 0.001787f,
		0.001894f, 0.002012f, 0.002119f, 0.002218f, 0.002335f, 0.002453f, 0.002611f, 0.002714f, 0.002848f, 0.003050f, 0.003168f, 0.003395f,
		0.003529f, 0.003740f, 0.003963f, 0.004158f, 0.004429f, 0.004688f, 0.004982f, 0.005280f, 0.005600f, 0.005959f, 0.006340f, 0.006775f,
		0.007252f, 0.007748f, 0.008369f, 0.008980f, 0.009705f, 0.010513f, 0.011513f, 0.012665f, 0.014069f, 0.015869f, 0.018158f, 0.020950f,
		0.024338f, 0.028366f, 0.335205f, 0.408203f, 0.427002f, 0.435547f, 0.441162f, 0.445312f, 0.000138f, 0.000265f, 0.000381f, 0.000386f,
		0.000465f, 0.000556f, 0.000558f, 0.000597f, 0.000659f, 0.000748f, 0.000770f, 0.000786f, 0.000829f, 0.000904f, 0.000940f, 0.001021f,
		0.001043f, 0.001139f, 0.001201f, 0.001253f, 0.001327f, 0.001396f, 0.001481f, 0.001555f, 0.001637f, 0.001712f, 0.001813f, 0.001899f,
		0.002005f, 0.002140f, 0.002220f, 0.002348f, 0.002462f, 0.002600f, 0.002733f, 0.002932f, 0.003075f, 0.003279f, 0.003452f, 0.003630f,
		0.003872f, 0.004166f, 0.004436f, 0.004742f, 0.005077f, 0.005459f, 0.005848f, 0.006310f, 0.006874f, 0.007492f, 0.008171f, 0.009026f,
		0.009995f, 0.011307f, 0.013008f, 0.015343f, 0.018265f, 0.021881f, 0.323486f, 0.399170f, 0.418945f, 0.428467f, 0.434326f, 0.437988f,
		0.000165f, 0.000260f, 0.000287f, 0.000296f, 0.000331f, 0.000339f, 0.000360f, 0.000395f, 0.000442f, 0.000482f, 0.000487f, 0.000551f,
		0.000546f, 0.000611f, 0.000640f, 0.000667f, 0.000711f, 0.000742f, 0.000775f, 0.000816f, 0.000876f, 0.000916f, 0.000974f, 0.001015f,
		0.001081f, 0.001123f, 0.001195f, 0.001267f, 0.001317f, 0.001388f, 0.001459f, 0.001558f, 0.001630f, 0.001718f, 0.001804f, 0.001916f,
		0.002033f, 0.002148f, 0.002295f, 0.002455f, 0.002583f, 0.002754f, 0.002941f, 0.003134f, 0.003386f, 0.003639f, 0.003910f, 0.004215f,
		0.004597f, 0.005013f, 0.005520f, 0.006130f, 0.006821f, 0.007690f, 0.008789f, 0.010452f, 0.012909f, 0.016174f, 0.312012f, 0.390381f,
		0.410645f, 0.420654f, 0.426270f, 0.430664f, 0.000057f, 0.000171f, 0.000164f, 0.000170f, 0.000211f, 0.000213f, 0.000229f, 0.000247f,
		0.000267f, 0.000279f, 0.000289f, 0.000317f, 0.000349f, 0.000364f, 0.000390f, 0.000407f, 0.000427f, 0.000467f, 0.000476f, 0.000521f,
		0.000537f, 0.000561f, 0.000578f, 0.000626f, 0.000667f, 0.000714f, 0.000729f, 0.000753f, 0.000806f, 0.000855f, 0.000911f, 0.000945f,
		0.001004f, 0.001054f, 0.001112f, 0.001172f, 0.001251f, 0.001333f, 0.001406f, 0.001489f, 0.001595f, 0.001694f, 0.001811f, 0.001952f,
		0.002090f, 0.002243f, 0.002453f, 0.002638f, 0.002888f, 0.003143f, 0.003489f, 0.003870f, 0.004353f, 0.004921f, 0.005672f, 0.006664f,
		0.008423f, 0.011230f, 0.301758f, 0.381104f, 0.402832f, 0.413330f, 0.418457f, 0.423828f, 0.000096f, 0.000112f, 0.000097f, 0.000090f,
		0.000113f, 0.000119f, 0.000144f, 0.000149f, 0.000151f, 0.000158f, 0.000181f, 0.000184f, 0.000179f, 0.000201f, 0.000224f, 0.000216f,
		0.000237f, 0.000255f, 0.000263f, 0.000276f, 0.000297f, 0.000308f, 0.000332f, 0.000347f, 0.000369f, 0.000395f, 0.000408f, 0.000422f,
		0.000447f, 0.000471f, 0.000500f, 0.000531f, 0.000554f, 0.000583f, 0.000617f, 0.000660f, 0.000690f, 0.000739f, 0.000795f, 0.000833f,
		0.000885f, 0.000948f, 0.001022f, 0.001085f, 0.001175f, 0.001262f, 0.001371f, 0.001487f, 0.001633f, 0.001778f, 0.001986f, 0.002218f,
		0.002502f, 0.002865f, 0.003330f, 0.003979f, 0.004932f, 0.007000f, 0.291260f, 0.372070f, 0.394043f, 0.404541f, 0.412109f, 0.416260f,
		0.000000f, 0.000056f, 0.000049f, 0.000061f, 0.000064f, 0.000061f, 0.000062f, 0.000071f, 0.000072f, 0.000088f, 0.000083f, 0.000086f,
		0.000097f, 0.000094f, 0.000098f, 0.000105f, 0.000116f, 0.000122f, 0.000126f, 0.000134f, 0.000137f, 0.000143f, 0.000150f, 0.000164f,
		0.000171f, 0.000183f, 0.000188f, 0.000204f, 0.000214f, 0.000224f, 0.000236f, 0.000255f, 0.000258f, 0.000277f, 0.000293f, 0.000315f,
		0.000328f, 0.000349f, 0.000376f, 0.000396f, 0.000426f, 0.000454f, 0.000486f, 0.000521f, 0.000563f, 0.000605f, 0.000657f, 0.000714f,
		0.000791f, 0.000866f, 0.000977f, 0.001085f, 0.001243f, 0.001441f, 0.001703f, 0.002058f, 0.002573f, 0.003740f, 0.280029f, 0.362793f,
		0.385742f, 0.397217f, 0.404297f, 0.408936f, 0.000058f, 0.000038f, 0.000031f, 0.000027f, 0.000025f, 0.000026f, 0.000025f, 0.000024f,
		0.000024f, 0.000027f, 0.000030f, 0.000038f, 0.000032f, 0.000035f, 0.000040f, 0.000041f, 0.000044f, 0.000045f, 0.000045f, 0.000047f,
		0.000052f, 0.000058f, 0.000061f, 0.000059f, 0.000065f, 0.000067f, 0.000069f, 0.000073f, 0.000078f, 0.000083f, 0.000089f, 0.000091f,
		0.000099f, 0.000103f, 0.000106f, 0.000114f, 0.000124f, 0.000132f, 0.000141f, 0.000150f, 0.000158f, 0.000164f, 0.000180f, 0.000193f,
		0.000205f, 0.000225f, 0.000245f, 0.000267f, 0.000297f, 0.000329f, 0.000365f, 0.000416f, 0.000479f, 0.000563f, 0.000676f, 0.000839f,
		0.001088f, 0.001589f, 0.270264f, 0.353760f, 0.377197f, 0.390137f, 0.396973f, 0.402100f, 0.000030f, 0.000019f, 0.000016f, 0.000014f,
		0.000013f, 0.000012f, 0.000011f, 0.000011f, 0.000010f, 0.000010f, 0.000009f, 0.000009f, 0.000009f, 0.000008f, 0.000007f, 0.000009f,
		0.000009f, 0.000008f, 0.000009f, 0.000010f, 0.000011f, 0.000012f, 0.000012f, 0.000014f, 0.000014f, 0.000014f, 0.000015f, 0.000018f,
		0.000017f, 0.000017f, 0.000019f, 0.000020f, 0.000022f, 0.000022f, 0.000023f, 0.000026f, 0.000028f, 0.000027f, 0.000030f, 0.000032f,
		0.000035f, 0.000038f, 0.000040f, 0.000042f, 0.000045f, 0.000049f, 0.000055f, 0.000060f, 0.000065f, 0.000074f, 0.000078f, 0.000095f,
		0.000109f, 0.000129f, 0.000160f, 0.000205f, 0.000284f, 0.000452f, 0.259766f, 0.345703f, 0.369629f, 0.382812f, 0.390625f, 0.395264f,
		0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000001f, 0.000001f, 0.000001f,
		0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f,
		0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f,
		0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000002f,
		0.000002f, 0.000003f, 0.000003f, 0.000004f, 0.000004f, 0.000005f, 0.000006f, 0.000009f, 0.000012f, 0.000026f, 0.249878f, 0.336182f,
		0.362061f, 0.374512f, 0.382080f, 0.387695f, 
	}
};

/* 4 different blue noise, one per channel */
static float blue_noise[64 * 64][4] = {
	{0.367188f, 0.855469f, 0.523438f, 0.375000f}, {0.242188f, 0.699219f, 0.164062f, 0.292969f},
	{0.828125f, 0.257812f, 0.449219f, 0.679688f}, {0.128906f, 0.523438f, 0.058594f, 0.164062f},
	{0.214844f, 0.648438f, 0.750000f, 0.492188f}, {0.535156f, 0.226562f, 0.492188f, 0.429688f},
	{0.050781f, 0.425781f, 0.886719f, 0.019531f}, {0.199219f, 0.785156f, 0.378906f, 0.984375f},
	{0.390625f, 0.039062f, 0.222656f, 0.777344f}, {0.574219f, 0.460938f, 0.687500f, 0.085938f},
	{0.757812f, 0.117188f, 0.968750f, 0.343750f}, {0.109375f, 0.398438f, 0.500000f, 0.871094f},
	{0.871094f, 0.796875f, 0.628906f, 0.132812f}, {0.289062f, 0.480469f, 0.851562f, 0.484375f},
	{0.519531f, 0.035156f, 0.234375f, 0.832031f}, {0.390625f, 0.558594f, 0.738281f, 0.636719f},
	{0.015625f, 0.648438f, 0.910156f, 0.507812f}, {0.199219f, 0.257812f, 0.640625f, 0.578125f},
	{0.359375f, 0.976562f, 0.855469f, 0.726562f}, {0.523438f, 0.445312f, 0.335938f, 0.304688f},
	{0.046875f, 0.296875f, 0.921875f, 0.687500f}, {0.476562f, 0.929688f, 0.777344f, 0.164062f},
	{0.726562f, 0.515625f, 0.398438f, 0.781250f}, {0.652344f, 0.156250f, 0.191406f, 0.015625f},
	{0.300781f, 0.695312f, 0.011719f, 0.417969f}, {0.433594f, 0.882812f, 0.738281f, 0.843750f},
	{0.890625f, 0.308594f, 0.523438f, 0.496094f}, {0.589844f, 0.730469f, 0.050781f, 0.886719f},
	{0.738281f, 0.539062f, 0.683594f, 0.640625f}, {0.421875f, 0.191406f, 0.265625f, 0.996094f},
	{0.609375f, 0.339844f, 0.617188f, 0.066406f}, {0.371094f, 0.398438f, 0.378906f, 0.898438f},
	{0.937500f, 0.578125f, 0.136719f, 0.136719f}, {0.453125f, 0.820312f, 0.664062f, 0.968750f},
	{0.828125f, 0.070312f, 0.316406f, 0.328125f}, {0.558594f, 0.714844f, 0.593750f, 0.714844f},
	{0.351562f, 0.781250f, 0.355469f, 0.804688f}, {0.203125f, 0.398438f, 0.214844f, 0.519531f},
	{0.785156f, 0.207031f, 0.398438f, 0.453125f}, {0.617188f, 0.289062f, 0.281250f, 0.257812f},
	{0.171875f, 0.609375f, 0.792969f, 0.027344f}, {0.539062f, 0.871094f, 0.007812f, 0.886719f},
	{0.019531f, 0.246094f, 0.226562f, 0.363281f}, {0.988281f, 0.582031f, 0.777344f, 0.054688f},
	{0.468750f, 0.933594f, 0.312500f, 0.246094f}, {0.218750f, 0.015625f, 0.851562f, 0.167969f},
	{0.566406f, 0.699219f, 0.519531f, 0.902344f}, {0.125000f, 0.507812f, 0.136719f, 0.386719f},
	{0.296875f, 0.812500f, 0.558594f, 0.203125f}, {0.402344f, 0.199219f, 0.058594f, 0.875000f},
	{0.898438f, 0.386719f, 0.664062f, 0.660156f}, {0.027344f, 0.078125f, 0.296875f, 0.453125f},
	{0.667969f, 0.828125f, 0.808594f, 0.171875f}, {0.257812f, 0.535156f, 0.464844f, 0.914062f},
	{0.597656f, 0.363281f, 0.886719f, 0.718750f}, {0.332031f, 0.042969f, 0.683594f, 0.003906f},
	{0.632812f, 0.480469f, 0.429688f, 0.425781f}, {0.226562f, 0.910156f, 0.566406f, 0.558594f},
	{0.496094f, 0.062500f, 0.863281f, 0.226562f}, {0.105469f, 0.976562f, 0.707031f, 0.941406f},
	{0.394531f, 0.203125f, 0.285156f, 0.277344f}, {0.003906f, 0.804688f, 0.781250f, 0.050781f},
	{0.210938f, 0.289062f, 0.117188f, 0.601562f}, {0.972656f, 0.179688f, 0.589844f, 0.144531f},
	{0.152344f, 0.359375f, 0.730469f, 0.449219f}, {0.765625f, 0.105469f, 0.292969f, 0.101562f},
	{0.519531f, 0.812500f, 0.617188f, 0.976562f}, {0.988281f, 0.960938f, 0.902344f, 0.054688f},
	{0.457031f, 0.738281f, 0.335938f, 0.875000f}, {0.871094f, 0.121094f, 0.195312f, 0.210938f},
	{0.781250f, 0.296875f, 0.539062f, 0.585938f}, {0.636719f, 0.667969f, 0.621094f, 0.328125f},
	{0.324219f, 0.929688f, 0.855469f, 0.148438f}, {0.984375f, 0.718750f, 0.421875f, 0.824219f},
	{0.500000f, 0.308594f, 0.757812f, 0.699219f}, {0.664062f, 0.214844f, 0.269531f, 0.558594f},
	{0.414062f, 0.984375f, 0.074219f, 0.757812f}, {0.589844f, 0.339844f, 0.925781f, 0.273438f},
	{0.089844f, 0.847656f, 0.316406f, 0.398438f}, {0.695312f, 0.921875f, 0.460938f, 0.890625f},
	{0.894531f, 0.093750f, 0.113281f, 0.347656f}, {0.562500f, 0.386719f, 0.289062f, 0.964844f},
	{0.121094f, 0.820312f, 0.003906f, 0.214844f}, {0.765625f, 0.187500f, 0.710938f, 0.914062f},
	{0.878906f, 0.773438f, 0.445312f, 0.078125f}, {0.218750f, 0.117188f, 0.613281f, 0.617188f},
	{0.085938f, 0.652344f, 0.996094f, 0.339844f}, {0.863281f, 0.359375f, 0.496094f, 0.531250f},
	{0.148438f, 0.437500f, 0.320312f, 0.695312f}, {0.503906f, 0.613281f, 0.792969f, 0.082031f},
	{0.097656f, 0.109375f, 0.960938f, 0.238281f}, {0.246094f, 0.914062f, 0.414062f, 0.328125f},
	{0.011719f, 0.648438f, 0.828125f, 0.738281f}, {0.980469f, 0.457031f, 0.343750f, 0.117188f},
	{0.140625f, 0.937500f, 0.976562f, 0.601562f}, {0.234375f, 0.867188f, 0.574219f, 0.230469f},
	{0.542969f, 0.519531f, 0.902344f, 0.402344f}, {0.027344f, 0.300781f, 0.253906f, 0.503906f},
	{0.757812f, 0.964844f, 0.949219f, 0.058594f}, {0.152344f, 0.234375f, 0.039062f, 0.925781f},
	{0.687500f, 0.628906f, 0.492188f, 0.386719f}, {0.929688f, 0.546875f, 0.667969f, 0.109375f},
	{0.269531f, 0.136719f, 0.964844f, 0.617188f}, {0.320312f, 0.464844f, 0.542969f, 0.972656f},
	{0.960938f, 0.960938f, 0.171875f, 0.093750f}, {0.355469f, 0.523438f, 0.429688f, 0.765625f},
	{0.246094f, 0.328125f, 0.992188f, 0.496094f}, {0.648438f, 0.074219f, 0.097656f, 0.605469f},
	{0.144531f, 0.648438f, 0.476562f, 0.808594f}, {0.855469f, 0.832031f, 0.195312f, 0.546875f},
	{0.925781f, 0.414062f, 0.960938f, 0.675781f}, {0.000000f, 0.113281f, 0.746094f, 0.835938f},
	{0.828125f, 0.324219f, 0.613281f, 0.500000f}, {0.699219f, 0.738281f, 0.332031f, 0.125000f},
	{0.542969f, 0.906250f, 0.898438f, 0.250000f}, {0.105469f, 0.632812f, 0.511719f, 0.062500f},
	{0.433594f, 0.273438f, 0.097656f, 0.816406f}, {0.511719f, 0.707031f, 0.593750f, 0.632812f},
	{0.179688f, 0.980469f, 0.367188f, 0.335938f}, {0.882812f, 0.113281f, 0.031250f, 0.980469f},
	{0.410156f, 0.656250f, 0.253906f, 0.675781f}, {0.039062f, 0.300781f, 0.785156f, 0.800781f},
	{0.695312f, 0.382812f, 0.386719f, 0.156250f}, {0.847656f, 0.457031f, 0.000000f, 0.847656f},
	{0.945312f, 0.542969f, 0.664062f, 0.683594f}, {0.730469f, 0.707031f, 0.238281f, 0.535156f},
	{0.472656f, 0.921875f, 0.871094f, 0.910156f}, {0.867188f, 0.601562f, 0.031250f, 0.812500f},
	{0.632812f, 0.769531f, 0.925781f, 0.625000f}, {0.433594f, 0.558594f, 0.078125f, 0.851562f},
	{0.015625f, 0.187500f, 0.792969f, 0.515625f}, {0.343750f, 0.386719f, 0.562500f, 0.773438f},
	{0.679688f, 0.035156f, 0.121094f, 0.347656f}, {0.300781f, 0.582031f, 0.703125f, 0.660156f},
	{0.152344f, 0.878906f, 0.929688f, 0.902344f}, {0.433594f, 0.507812f, 0.093750f, 0.460938f},
	{0.714844f, 0.171875f, 0.042969f, 0.531250f}, {0.828125f, 0.550781f, 0.312500f, 0.945312f},
	{0.011719f, 0.894531f, 0.136719f, 0.417969f}, {0.257812f, 0.046875f, 0.562500f, 0.226562f},
	{0.187500f, 0.601562f, 0.800781f, 0.929688f}, {0.949219f, 0.128906f, 0.437500f, 0.613281f},
	{0.816406f, 0.277344f, 0.054688f, 0.035156f}, {0.226562f, 0.425781f, 0.542969f, 0.183594f},
	{0.628906f, 0.750000f, 0.984375f, 0.113281f}, {0.839844f, 0.003906f, 0.792969f, 0.796875f},
	{0.269531f, 0.324219f, 0.496094f, 0.003906f}, {0.683594f, 0.601562f, 0.574219f, 0.546875f},
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	{0.199219f, 0.976562f, 0.128906f, 0.128906f}, {0.101562f, 0.125000f, 0.714844f, 0.664062f},
	{0.800781f, 0.378906f, 0.257812f, 0.296875f}, {0.515625f, 0.890625f, 0.027344f, 0.773438f},
	{0.414062f, 0.605469f, 0.082031f, 0.351562f}, {0.070312f, 0.765625f, 0.804688f, 0.585938f},
	{0.187500f, 0.433594f, 0.910156f, 0.968750f}, {0.796875f, 0.031250f, 0.468750f, 0.726562f},
	{0.457031f, 0.589844f, 0.156250f, 0.410156f}, {0.160156f, 0.312500f, 0.257812f, 0.949219f},
	{0.718750f, 0.785156f, 0.027344f, 0.363281f}, {0.773438f, 0.210938f, 0.554688f, 0.863281f},
	{0.476562f, 0.683594f, 0.335938f, 0.488281f}, {0.007812f, 0.765625f, 0.839844f, 0.769531f},
	{0.707031f, 0.859375f, 0.488281f, 0.605469f}, {0.445312f, 0.406250f, 0.230469f, 0.082031f},
	{0.566406f, 0.675781f, 0.746094f, 0.464844f}, {0.757812f, 0.582031f, 0.957031f, 0.023438f},
	{0.925781f, 0.843750f, 0.066406f, 0.183594f}, {0.281250f, 0.367188f, 0.429688f, 0.976562f},
	{0.125000f, 0.957031f, 0.644531f, 0.324219f}, {0.421875f, 0.746094f, 0.757812f, 0.214844f},
	{0.675781f, 0.410156f, 0.976562f, 0.933594f}, {0.074219f, 0.914062f, 0.851562f, 0.558594f},
	{0.617188f, 0.070312f, 0.667969f, 0.238281f}, {0.910156f, 0.457031f, 0.246094f, 0.742188f},
	{0.285156f, 0.335938f, 0.824219f, 0.636719f}, {0.722656f, 0.832031f, 0.007812f, 0.828125f},
	{0.816406f, 0.949219f, 0.289062f, 0.273438f}, {0.925781f, 0.152344f, 0.148438f, 0.675781f},
	{0.085938f, 0.359375f, 0.789062f, 0.187500f}, {0.277344f, 0.640625f, 0.585938f, 0.507812f},
	{0.164062f, 0.867188f, 0.105469f, 0.640625f}, {0.457031f, 0.570312f, 0.183594f, 0.050781f},
	{0.789062f, 0.675781f, 0.371094f, 0.203125f}, {0.050781f, 0.164062f, 0.675781f, 0.996094f},
	{0.726562f, 0.718750f, 0.152344f, 0.316406f}, {0.992188f, 0.210938f, 0.578125f, 0.066406f},
	{0.464844f, 0.894531f, 0.386719f, 0.242188f}, {0.792969f, 0.500000f, 0.203125f, 0.140625f},
	{0.925781f, 0.687500f, 0.527344f, 0.414062f}, {0.644531f, 0.062500f, 0.132812f, 0.824219f},
	{0.289062f, 0.847656f, 0.234375f, 0.492188f}, {0.390625f, 0.570312f, 0.054688f, 0.394531f},
	{0.554688f, 0.042969f, 0.546875f, 0.890625f}, {0.917969f, 0.796875f, 0.695312f, 0.589844f},
	{0.203125f, 0.207031f, 0.839844f, 0.273438f}, {0.773438f, 0.484375f, 0.355469f, 0.960938f},
	{0.699219f, 0.035156f, 0.593750f, 0.152344f}, {0.171875f, 0.410156f, 0.218750f, 0.050781f},
	{0.289062f, 0.824219f, 0.921875f, 0.406250f}, {0.851562f, 0.078125f, 0.765625f, 0.261719f},
	{0.781250f, 0.703125f, 0.066406f, 0.457031f}, {0.105469f, 0.000000f, 0.460938f, 0.546875f},
	{0.695312f, 0.140625f, 0.734375f, 0.792969f}, {0.187500f, 0.660156f, 0.515625f, 0.632812f},
	{0.636719f, 0.433594f, 0.085938f, 0.257812f}, {0.402344f, 0.500000f, 0.425781f, 0.562500f},
	{0.003906f, 0.019531f, 0.890625f, 0.214844f}, {0.878906f, 0.953125f, 0.816406f, 0.156250f},
	{0.503906f, 0.847656f, 0.058594f, 0.835938f}, {0.062500f, 0.746094f, 0.617188f, 0.738281f},
	{0.839844f, 0.058594f, 0.902344f, 0.312500f}, {0.691406f, 0.171875f, 0.496094f, 0.640625f},
	{0.390625f, 0.417969f, 0.378906f, 0.433594f}, {0.593750f, 0.742188f, 0.578125f, 0.945312f},
	{0.734375f, 0.484375f, 0.917969f, 0.722656f}, {0.316406f, 0.289062f, 0.667969f, 0.113281f},
	{0.675781f, 0.164062f, 0.429688f, 0.460938f}, {0.972656f, 0.984375f, 0.371094f, 0.628906f},
	{0.628906f, 0.257812f, 0.218750f, 0.015625f}, {0.242188f, 0.656250f, 0.773438f, 0.320312f},
	{0.589844f, 0.957031f, 0.984375f, 0.777344f}, {0.957031f, 0.492188f, 0.402344f, 0.550781f},
	{0.359375f, 0.144531f, 0.726562f, 0.105469f}, {0.859375f, 0.425781f, 0.203125f, 0.582031f},
	{0.113281f, 0.921875f, 0.128906f, 0.261719f}, {0.933594f, 0.253906f, 0.628906f, 0.144531f},
	{0.812500f, 0.570312f, 0.992188f, 0.890625f}, {0.148438f, 0.179688f, 0.093750f, 0.308594f},
	{0.894531f, 0.734375f, 0.160156f, 0.734375f}, {0.339844f, 0.269531f, 0.343750f, 0.628906f},
	{0.621094f, 0.089844f, 0.500000f, 0.394531f}, {0.523438f, 0.644531f, 0.906250f, 0.773438f},
	{0.796875f, 0.507812f, 0.203125f, 0.480469f}, {0.582031f, 0.042969f, 0.367188f, 0.710938f},
};

#endif  /* __EEVEE_LUT_H__ */