File content as of revision 1:fdd22bb7aa52:

/* ----------------------------------------------------------------------    
* Copyright (C) 2010 ARM Limited. All rights reserved.    
*    
* $Date:        15. February 2012  
* $Revision:     V1.1.0  
*    
* Project:         CMSIS DSP Library    
* Title:        arm_common_tables.c    
*    
* Description:    This file has common tables like fft twiddle factors, Bitreverse, reciprocal etc which are used across different functions    
*    
* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
*  
* Version 1.1.0 2012/02/15 
*    Updated with more optimizations, bug fixes and minor API changes.  
*   
* Version 1.0.10 2011/7/15  
*    Big Endian support added and Merged M0 and M3/M4 Source code.   
*    
* Version 1.0.3 2010/11/29   
*    Re-organized the CMSIS folders and updated documentation.    
*     
* Version 1.0.2 2010/11/11    
*    Documentation updated.     
*    
* Version 1.0.1 2010/10/05     
*    Production release and review comments incorporated.    
*    
* Version 1.0.0 2010/09/20     
*    Production release and review comments incorporated.    
* -------------------------------------------------------------------- */


#include "arm_math.h"
#include "arm_common_tables.h"

/**    
 * @ingroup groupTransforms    
 */

/**    
 * @addtogroup CFFT_CIFFT Complex FFT Tables  
 * @{    
 */

/**    
* \par    
* Pseudo code for Generation of Bit reversal Table is    
* \par    
* <pre>for(l=1;l <= N/4;l++)    
* {    
*   for(i=0;i<logN2;i++)    
*   {     
*     a[i]=l&(1<<i);    
*   }    
*   for(j=0; j<logN2; j++)    
*   {    
*     if (a[j]!=0)    
*     y[l]+=(1<<((logN2-1)-j));    
*   }    
*   y[l] = y[l] >> 1;    
*  } </pre>    
* \par    
* where N = 4096    logN2 = 12   
* \par    
* N is the maximum FFT Size supported    
*/

/*    
* @brief  Table for bit reversal process    
*/
const uint16_t armBitRevTable[1024] = {
  0x400, 0x200, 0x600, 0x100, 0x500, 0x300, 0x700,
  0x80, 0x480, 0x280, 0x680, 0x180, 0x580, 0x380,
  0x780, 0x40, 0x440, 0x240, 0x640, 0x140, 0x540,
  0x340, 0x740, 0xc0, 0x4c0, 0x2c0, 0x6c0, 0x1c0,
  0x5c0, 0x3c0, 0x7c0, 0x20, 0x420, 0x220, 0x620,
  0x120, 0x520, 0x320, 0x720, 0xa0, 0x4a0, 0x2a0,
  0x6a0, 0x1a0, 0x5a0, 0x3a0, 0x7a0, 0x60, 0x460,
  0x260, 0x660, 0x160, 0x560, 0x360, 0x760, 0xe0,
  0x4e0, 0x2e0, 0x6e0, 0x1e0, 0x5e0, 0x3e0, 0x7e0,
  0x10, 0x410, 0x210, 0x610, 0x110, 0x510, 0x310,
  0x710, 0x90, 0x490, 0x290, 0x690, 0x190, 0x590,
  0x390, 0x790, 0x50, 0x450, 0x250, 0x650, 0x150,
  0x550, 0x350, 0x750, 0xd0, 0x4d0, 0x2d0, 0x6d0,
  0x1d0, 0x5d0, 0x3d0, 0x7d0, 0x30, 0x430, 0x230,
  0x630, 0x130, 0x530, 0x330, 0x730, 0xb0, 0x4b0,
  0x2b0, 0x6b0, 0x1b0, 0x5b0, 0x3b0, 0x7b0, 0x70,
  0x470, 0x270, 0x670, 0x170, 0x570, 0x370, 0x770,
  0xf0, 0x4f0, 0x2f0, 0x6f0, 0x1f0, 0x5f0, 0x3f0,
  0x7f0, 0x8, 0x408, 0x208, 0x608, 0x108, 0x508,
  0x308, 0x708, 0x88, 0x488, 0x288, 0x688, 0x188,
  0x588, 0x388, 0x788, 0x48, 0x448, 0x248, 0x648,
  0x148, 0x548, 0x348, 0x748, 0xc8, 0x4c8, 0x2c8,
  0x6c8, 0x1c8, 0x5c8, 0x3c8, 0x7c8, 0x28, 0x428,
  0x228, 0x628, 0x128, 0x528, 0x328, 0x728, 0xa8,
  0x4a8, 0x2a8, 0x6a8, 0x1a8, 0x5a8, 0x3a8, 0x7a8,
  0x68, 0x468, 0x268, 0x668, 0x168, 0x568, 0x368,
  0x768, 0xe8, 0x4e8, 0x2e8, 0x6e8, 0x1e8, 0x5e8,
  0x3e8, 0x7e8, 0x18, 0x418, 0x218, 0x618, 0x118,
  0x518, 0x318, 0x718, 0x98, 0x498, 0x298, 0x698,
  0x198, 0x598, 0x398, 0x798, 0x58, 0x458, 0x258,
  0x658, 0x158, 0x558, 0x358, 0x758, 0xd8, 0x4d8,
  0x2d8, 0x6d8, 0x1d8, 0x5d8, 0x3d8, 0x7d8, 0x38,
  0x438, 0x238, 0x638, 0x138, 0x538, 0x338, 0x738,
  0xb8, 0x4b8, 0x2b8, 0x6b8, 0x1b8, 0x5b8, 0x3b8,
  0x7b8, 0x78, 0x478, 0x278, 0x678, 0x178, 0x578,
  0x378, 0x778, 0xf8, 0x4f8, 0x2f8, 0x6f8, 0x1f8,
  0x5f8, 0x3f8, 0x7f8, 0x4, 0x404, 0x204, 0x604,
  0x104, 0x504, 0x304, 0x704, 0x84, 0x484, 0x284,
  0x684, 0x184, 0x584, 0x384, 0x784, 0x44, 0x444,
  0x244, 0x644, 0x144, 0x544, 0x344, 0x744, 0xc4,
  0x4c4, 0x2c4, 0x6c4, 0x1c4, 0x5c4, 0x3c4, 0x7c4,
  0x24, 0x424, 0x224, 0x624, 0x124, 0x524, 0x324,
  0x724, 0xa4, 0x4a4, 0x2a4, 0x6a4, 0x1a4, 0x5a4,
  0x3a4, 0x7a4, 0x64, 0x464, 0x264, 0x664, 0x164,
  0x564, 0x364, 0x764, 0xe4, 0x4e4, 0x2e4, 0x6e4,
  0x1e4, 0x5e4, 0x3e4, 0x7e4, 0x14, 0x414, 0x214,
  0x614, 0x114, 0x514, 0x314, 0x714, 0x94, 0x494,
  0x294, 0x694, 0x194, 0x594, 0x394, 0x794, 0x54,
  0x454, 0x254, 0x654, 0x154, 0x554, 0x354, 0x754,
  0xd4, 0x4d4, 0x2d4, 0x6d4, 0x1d4, 0x5d4, 0x3d4,
  0x7d4, 0x34, 0x434, 0x234, 0x634, 0x134, 0x534,
  0x334, 0x734, 0xb4, 0x4b4, 0x2b4, 0x6b4, 0x1b4,
  0x5b4, 0x3b4, 0x7b4, 0x74, 0x474, 0x274, 0x674,
  0x174, 0x574, 0x374, 0x774, 0xf4, 0x4f4, 0x2f4,
  0x6f4, 0x1f4, 0x5f4, 0x3f4, 0x7f4, 0xc, 0x40c,
  0x20c, 0x60c, 0x10c, 0x50c, 0x30c, 0x70c, 0x8c,
  0x48c, 0x28c, 0x68c, 0x18c, 0x58c, 0x38c, 0x78c,
  0x4c, 0x44c, 0x24c, 0x64c, 0x14c, 0x54c, 0x34c,
  0x74c, 0xcc, 0x4cc, 0x2cc, 0x6cc, 0x1cc, 0x5cc,
  0x3cc, 0x7cc, 0x2c, 0x42c, 0x22c, 0x62c, 0x12c,
  0x52c, 0x32c, 0x72c, 0xac, 0x4ac, 0x2ac, 0x6ac,
  0x1ac, 0x5ac, 0x3ac, 0x7ac, 0x6c, 0x46c, 0x26c,
  0x66c, 0x16c, 0x56c, 0x36c, 0x76c, 0xec, 0x4ec,
  0x2ec, 0x6ec, 0x1ec, 0x5ec, 0x3ec, 0x7ec, 0x1c,
  0x41c, 0x21c, 0x61c, 0x11c, 0x51c, 0x31c, 0x71c,
  0x9c, 0x49c, 0x29c, 0x69c, 0x19c, 0x59c, 0x39c,
  0x79c, 0x5c, 0x45c, 0x25c, 0x65c, 0x15c, 0x55c,
  0x35c, 0x75c, 0xdc, 0x4dc, 0x2dc, 0x6dc, 0x1dc,
  0x5dc, 0x3dc, 0x7dc, 0x3c, 0x43c, 0x23c, 0x63c,
  0x13c, 0x53c, 0x33c, 0x73c, 0xbc, 0x4bc, 0x2bc,
  0x6bc, 0x1bc, 0x5bc, 0x3bc, 0x7bc, 0x7c, 0x47c,
  0x27c, 0x67c, 0x17c, 0x57c, 0x37c, 0x77c, 0xfc,
  0x4fc, 0x2fc, 0x6fc, 0x1fc, 0x5fc, 0x3fc, 0x7fc,
  0x2, 0x402, 0x202, 0x602, 0x102, 0x502, 0x302,
  0x702, 0x82, 0x482, 0x282, 0x682, 0x182, 0x582,
  0x382, 0x782, 0x42, 0x442, 0x242, 0x642, 0x142,
  0x542, 0x342, 0x742, 0xc2, 0x4c2, 0x2c2, 0x6c2,
  0x1c2, 0x5c2, 0x3c2, 0x7c2, 0x22, 0x422, 0x222,
  0x622, 0x122, 0x522, 0x322, 0x722, 0xa2, 0x4a2,
  0x2a2, 0x6a2, 0x1a2, 0x5a2, 0x3a2, 0x7a2, 0x62,
  0x462, 0x262, 0x662, 0x162, 0x562, 0x362, 0x762,
  0xe2, 0x4e2, 0x2e2, 0x6e2, 0x1e2, 0x5e2, 0x3e2,
  0x7e2, 0x12, 0x412, 0x212, 0x612, 0x112, 0x512,
  0x312, 0x712, 0x92, 0x492, 0x292, 0x692, 0x192,
  0x592, 0x392, 0x792, 0x52, 0x452, 0x252, 0x652,
  0x152, 0x552, 0x352, 0x752, 0xd2, 0x4d2, 0x2d2,
  0x6d2, 0x1d2, 0x5d2, 0x3d2, 0x7d2, 0x32, 0x432,
  0x232, 0x632, 0x132, 0x532, 0x332, 0x732, 0xb2,
  0x4b2, 0x2b2, 0x6b2, 0x1b2, 0x5b2, 0x3b2, 0x7b2,
  0x72, 0x472, 0x272, 0x672, 0x172, 0x572, 0x372,
  0x772, 0xf2, 0x4f2, 0x2f2, 0x6f2, 0x1f2, 0x5f2,
  0x3f2, 0x7f2, 0xa, 0x40a, 0x20a, 0x60a, 0x10a,
  0x50a, 0x30a, 0x70a, 0x8a, 0x48a, 0x28a, 0x68a,
  0x18a, 0x58a, 0x38a, 0x78a, 0x4a, 0x44a, 0x24a,
  0x64a, 0x14a, 0x54a, 0x34a, 0x74a, 0xca, 0x4ca,
  0x2ca, 0x6ca, 0x1ca, 0x5ca, 0x3ca, 0x7ca, 0x2a,
  0x42a, 0x22a, 0x62a, 0x12a, 0x52a, 0x32a, 0x72a,
  0xaa, 0x4aa, 0x2aa, 0x6aa, 0x1aa, 0x5aa, 0x3aa,
  0x7aa, 0x6a, 0x46a, 0x26a, 0x66a, 0x16a, 0x56a,
  0x36a, 0x76a, 0xea, 0x4ea, 0x2ea, 0x6ea, 0x1ea,
  0x5ea, 0x3ea, 0x7ea, 0x1a, 0x41a, 0x21a, 0x61a,
  0x11a, 0x51a, 0x31a, 0x71a, 0x9a, 0x49a, 0x29a,
  0x69a, 0x19a, 0x59a, 0x39a, 0x79a, 0x5a, 0x45a,
  0x25a, 0x65a, 0x15a, 0x55a, 0x35a, 0x75a, 0xda,
  0x4da, 0x2da, 0x6da, 0x1da, 0x5da, 0x3da, 0x7da,
  0x3a, 0x43a, 0x23a, 0x63a, 0x13a, 0x53a, 0x33a,
  0x73a, 0xba, 0x4ba, 0x2ba, 0x6ba, 0x1ba, 0x5ba,
  0x3ba, 0x7ba, 0x7a, 0x47a, 0x27a, 0x67a, 0x17a,
  0x57a, 0x37a, 0x77a, 0xfa, 0x4fa, 0x2fa, 0x6fa,
  0x1fa, 0x5fa, 0x3fa, 0x7fa, 0x6, 0x406, 0x206,
  0x606, 0x106, 0x506, 0x306, 0x706, 0x86, 0x486,
  0x286, 0x686, 0x186, 0x586, 0x386, 0x786, 0x46,
  0x446, 0x246, 0x646, 0x146, 0x546, 0x346, 0x746,
  0xc6, 0x4c6, 0x2c6, 0x6c6, 0x1c6, 0x5c6, 0x3c6,
  0x7c6, 0x26, 0x426, 0x226, 0x626, 0x126, 0x526,
  0x326, 0x726, 0xa6, 0x4a6, 0x2a6, 0x6a6, 0x1a6,
  0x5a6, 0x3a6, 0x7a6, 0x66, 0x466, 0x266, 0x666,
  0x166, 0x566, 0x366, 0x766, 0xe6, 0x4e6, 0x2e6,
  0x6e6, 0x1e6, 0x5e6, 0x3e6, 0x7e6, 0x16, 0x416,
  0x216, 0x616, 0x116, 0x516, 0x316, 0x716, 0x96,
  0x496, 0x296, 0x696, 0x196, 0x596, 0x396, 0x796,
  0x56, 0x456, 0x256, 0x656, 0x156, 0x556, 0x356,
  0x756, 0xd6, 0x4d6, 0x2d6, 0x6d6, 0x1d6, 0x5d6,
  0x3d6, 0x7d6, 0x36, 0x436, 0x236, 0x636, 0x136,
  0x536, 0x336, 0x736, 0xb6, 0x4b6, 0x2b6, 0x6b6,
  0x1b6, 0x5b6, 0x3b6, 0x7b6, 0x76, 0x476, 0x276,
  0x676, 0x176, 0x576, 0x376, 0x776, 0xf6, 0x4f6,
  0x2f6, 0x6f6, 0x1f6, 0x5f6, 0x3f6, 0x7f6, 0xe,
  0x40e, 0x20e, 0x60e, 0x10e, 0x50e, 0x30e, 0x70e,
  0x8e, 0x48e, 0x28e, 0x68e, 0x18e, 0x58e, 0x38e,
  0x78e, 0x4e, 0x44e, 0x24e, 0x64e, 0x14e, 0x54e,
  0x34e, 0x74e, 0xce, 0x4ce, 0x2ce, 0x6ce, 0x1ce,
  0x5ce, 0x3ce, 0x7ce, 0x2e, 0x42e, 0x22e, 0x62e,
  0x12e, 0x52e, 0x32e, 0x72e, 0xae, 0x4ae, 0x2ae,
  0x6ae, 0x1ae, 0x5ae, 0x3ae, 0x7ae, 0x6e, 0x46e,
  0x26e, 0x66e, 0x16e, 0x56e, 0x36e, 0x76e, 0xee,
  0x4ee, 0x2ee, 0x6ee, 0x1ee, 0x5ee, 0x3ee, 0x7ee,
  0x1e, 0x41e, 0x21e, 0x61e, 0x11e, 0x51e, 0x31e,
  0x71e, 0x9e, 0x49e, 0x29e, 0x69e, 0x19e, 0x59e,
  0x39e, 0x79e, 0x5e, 0x45e, 0x25e, 0x65e, 0x15e,
  0x55e, 0x35e, 0x75e, 0xde, 0x4de, 0x2de, 0x6de,
  0x1de, 0x5de, 0x3de, 0x7de, 0x3e, 0x43e, 0x23e,
  0x63e, 0x13e, 0x53e, 0x33e, 0x73e, 0xbe, 0x4be,
  0x2be, 0x6be, 0x1be, 0x5be, 0x3be, 0x7be, 0x7e,
  0x47e, 0x27e, 0x67e, 0x17e, 0x57e, 0x37e, 0x77e,
  0xfe, 0x4fe, 0x2fe, 0x6fe, 0x1fe, 0x5fe, 0x3fe,
  0x7fe, 0x1
};


/*    
* @brief  Floating-point Twiddle factors Table Generation    
*/


/**    
* \par    
* Example code for Floating-point Twiddle factors Generation:    
* \par    
* <pre>for(i = 0; i< 3N/4; i++)    
* {    
*    twiddleCoef[2*i]= cos(i * 2*PI/(float)N);    
*    twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);    
* } </pre>    
* \par    
* where N = 4096    and PI = 3.14159265358979    
* \par    
* Cos and Sin values are in interleaved fashion    
*     
*/
const float32_t twiddleCoef[6144] = {
  1.000000000000000000f, 0.000000000000000000f, 0.999998823451701880f,
    0.001533980186284766f, 0.999995293809576190f, 0.003067956762965976f,
  0.999989411081928400f, 0.004601926120448571f, 0.999981175282601110f,
    0.006135884649154475f, 0.999970586430974140f, 0.007669828739531097f,
  0.999957644551963900f, 0.009203754782059819f, 0.999942349676023910f,
    0.010737659167264491f, 0.999924701839144500f, 0.012271538285719925f,
  0.999904701082852900f, 0.013805388528060391f, 0.999882347454212560f,
    0.015339206284988100f, 0.999857641005823860f, 0.016872987947281710f,
  0.999830581795823400f, 0.018406729905804820f, 0.999801169887884260f,
    0.019940428551514441f, 0.999769405351215280f, 0.021474080275469508f,
  0.999735288260561680f, 0.023007681468839369f, 0.999698818696204250f,
    0.024541228522912288f, 0.999659996743959220f, 0.026074717829103901f,
  0.999618822495178640f, 0.027608145778965740f, 0.999575296046749220f,
    0.029141508764193722f, 0.999529417501093140f, 0.030674803176636626f,
  0.999481186966166950f, 0.032208025408304586f, 0.999430604555461730f,
    0.033741171851377580f, 0.999377670388002850f, 0.035274238898213947f,
  0.999322384588349540f, 0.036807222941358832f, 0.999264747286594420f,
    0.038340120373552694f, 0.999204758618363890f, 0.039872927587739811f,
  0.999142418724816910f, 0.041405640977076739f, 0.999077727752645360f,
    0.042938256934940820f, 0.999010685854073380f, 0.044470771854938668f,
  0.998941293186856870f, 0.046003182130914623f, 0.998869549914283560f,
    0.047535484156959303f, 0.998795456205172410f, 0.049067674327418015f,
  0.998719012233872940f, 0.050599749036899282f, 0.998640218180265270f,
    0.052131704680283324f, 0.998559074229759310f, 0.053663537652730520f,
  0.998475580573294770f, 0.055195244349689934f, 0.998389737407340160f,
    0.056726821166907748f, 0.998301544933892890f, 0.058258264500435752f,
  0.998211003360478190f, 0.059789570746639868f, 0.998118112900149180f,
    0.061320736302208578f, 0.998022873771486240f, 0.062851757564161406f,
  0.997925286198596000f, 0.064382630929857465f, 0.997825350411111640f,
    0.065913352797003805f, 0.997723066644191640f, 0.067443919563664051f,
  0.997618435138519550f, 0.068974327628266746f, 0.997511456140303450f,
    0.070504573389613856f, 0.997402129901275300f, 0.072034653246889332f,
  0.997290456678690210f, 0.073564563599667426f, 0.997176436735326190f,
    0.075094300847921305f, 0.997060070339482960f, 0.076623861392031492f,
  0.996941357764982160f, 0.078153241632794232f, 0.996820299291165670f,
    0.079682437971430126f, 0.996696895202896060f, 0.081211446809592441f,
  0.996571145790554840f, 0.082740264549375692f, 0.996443051350042630f,
    0.084268887593324071f, 0.996312612182778000f, 0.085797312344439894f,
  0.996179828595696980f, 0.087325535206192059f, 0.996044700901251970f,
    0.088853552582524600f, 0.995907229417411720f, 0.090381360877864983f,
  0.995767414467659820f, 0.091908956497132724f, 0.995625256380994310f,
    0.093436335845747787f, 0.995480755491926940f, 0.094963495329638992f,
  0.995333912140482280f, 0.096490431355252593f, 0.995184726672196930f,
    0.098017140329560604f, 0.995033199438118630f, 0.099543618660069319f,
  0.994879330794805620f, 0.101069862754827820f, 0.994723121104325700f,
    0.102595869022436280f, 0.994564570734255420f, 0.104121633872054590f,
  0.994403680057679100f, 0.105647153713410620f, 0.994240449453187900f,
    0.107172424956808840f, 0.994074879304879370f, 0.108697444013138720f,
  0.993906970002356060f, 0.110222207293883060f, 0.993736721940724600f,
    0.111746711211126590f, 0.993564135520595300f, 0.113270952177564350f,
  0.993389211148080650f, 0.114794926606510080f, 0.993211949234794500f,
    0.116318630911904750f, 0.993032350197851410f, 0.117842061508324980f,
  0.992850414459865100f, 0.119365214810991350f, 0.992666142448948020f,
    0.120888087235777080f, 0.992479534598709970f, 0.122410675199216200f,
  0.992290591348257370f, 0.123932975118512160f, 0.992099313142191800f,
    0.125454983411546230f, 0.991905700430609330f, 0.126976696496885870f,
  0.991709753669099530f, 0.128498110793793170f, 0.991511473318743900f,
    0.130019222722233350f, 0.991310859846115440f, 0.131540028702883120f,
  0.991107913723276890f, 0.133060525157139060f, 0.990902635427780010f,
    0.134580708507126170f, 0.990695025442664630f, 0.136100575175706200f,
  0.990485084256457090f, 0.137620121586486040f, 0.990272812363169110f,
    0.139139344163826200f, 0.990058210262297120f, 0.140658239332849210f,
  0.989841278458820530f, 0.142176803519448030f, 0.989622017463200890f,
    0.143695033150294470f, 0.989400427791380380f, 0.145212924652847460f,
  0.989176509964781010f, 0.146730474455361750f, 0.988950264510302990f,
    0.148247678986896030f, 0.988721691960323780f, 0.149764534677321510f,
  0.988490792852696590f, 0.151281037957330220f, 0.988257567730749460f,
    0.152797185258443440f, 0.988022017143283530f, 0.154312973013020100f,
  0.987784141644572180f, 0.155828397654265230f, 0.987543941794359230f,
    0.157343455616238250f, 0.987301418157858430f, 0.158858143333861450f,
  0.987056571305750970f, 0.160372457242928280f, 0.986809401814185530f,
    0.161886393780111830f, 0.986559910264775410f, 0.163399949382973230f,
  0.986308097244598670f, 0.164913120489969890f, 0.986053963346195440f,
    0.166425903540464100f, 0.985797509167567480f, 0.167938294974731170f,
  0.985538735312176060f, 0.169450291233967960f, 0.985277642388941220f,
    0.170961888760301220f, 0.985014231012239840f, 0.172473083996795950f,
  0.984748501801904210f, 0.173983873387463820f, 0.984480455383220930f,
    0.175494253377271430f, 0.984210092386929030f, 0.177004220412148750f,
  0.983937413449218920f, 0.178513770938997510f, 0.983662419211730250f,
    0.180022901405699510f, 0.983385110321551180f, 0.181531608261124970f,
  0.983105487431216290f, 0.183039887955140950f, 0.982823551198705240f,
    0.184547736938619620f, 0.982539302287441240f, 0.186055151663446630f,
  0.982252741366289370f, 0.187562128582529600f, 0.981963869109555240f,
    0.189068664149806190f, 0.981672686196983110f, 0.190574754820252740f,
  0.981379193313754560f, 0.192080397049892440f, 0.981083391150486710f,
    0.193585587295803610f, 0.980785280403230430f, 0.195090322016128250f,
  0.980484861773469380f, 0.196594597670080220f, 0.980182135968117430f,
    0.198098410717953560f, 0.979877103699517640f, 0.199601757621130970f,
  0.979569765685440520f, 0.201104634842091900f, 0.979260122649082020f,
    0.202607038844421130f, 0.978948175319062200f, 0.204108966092816870f,
  0.978633924429423210f, 0.205610413053099240f, 0.978317370719627650f,
    0.207111376192218560f, 0.977998514934557140f, 0.208611851978263490f,
  0.977677357824509930f, 0.210111836880469610f, 0.977353900145199960f,
    0.211611327369227550f, 0.977028142657754390f, 0.213110319916091360f,
  0.976700086128711840f, 0.214608810993786760f, 0.976369731330021140f,
    0.216106797076219520f, 0.976037079039039020f, 0.217604274638483640f,
  0.975702130038528570f, 0.219101240156869800f, 0.975364885116656980f,
    0.220597690108873510f, 0.975025345066994120f, 0.222093620973203510f,
  0.974683510688510670f, 0.223589029229789990f, 0.974339382785575860f,
    0.225083911359792830f, 0.973992962167955830f, 0.226578263845610000f,
  0.973644249650811980f, 0.228072083170885730f, 0.973293246054698250f,
    0.229565365820518870f, 0.972939952205560180f, 0.231058108280671110f,
  0.972584368934732210f, 0.232550307038775240f, 0.972226497078936270f,
    0.234041958583543430f, 0.971866337480279400f, 0.235533059404975490f,
  0.971503890986251780f, 0.237023605994367200f, 0.971139158449725090f,
    0.238513594844318420f, 0.970772140728950350f, 0.240003022448741500f,
  0.970402838687555500f, 0.241491885302869330f, 0.970031253194543970f,
    0.242980179903263870f, 0.969657385124292450f, 0.244467902747824150f,
  0.969281235356548530f, 0.245955050335794590f, 0.968902804776428870f,
    0.247441619167773270f, 0.968522094274417380f, 0.248927605745720150f,
  0.968139104746362440f, 0.250413006572965220f, 0.967753837093475510f,
    0.251897818154216970f, 0.967366292222328510f, 0.253382036995570160f,
  0.966976471044852070f, 0.254865659604514570f, 0.966584374478333120f,
    0.256348682489942910f, 0.966190003445412500f, 0.257831102162158990f,
  0.965793358874083680f, 0.259312915132886230f, 0.965394441697689400f,
    0.260794117915275510f, 0.964993252854920320f, 0.262274707023913590f,
  0.964589793289812760f, 0.263754678974831350f, 0.964184063951745830f,
    0.265234030285511790f, 0.963776065795439840f, 0.266712757474898370f,
  0.963365799780954050f, 0.268190857063403180f, 0.962953266873683880f,
    0.269668325572915090f, 0.962538468044359160f, 0.271145159526808010f,
  0.962121404269041580f, 0.272621355449948980f, 0.961702076529122540f,
    0.274096909868706380f, 0.961280485811320640f, 0.275571819310958140f,
  0.960856633107679660f, 0.277046080306099900f, 0.960430519415565790f,
    0.278519689385053060f, 0.960002145737665960f, 0.279992643080273220f,
  0.959571513081984520f, 0.281464937925757940f, 0.959138622461841890f,
    0.282936570457055390f, 0.958703474895871600f, 0.284407537211271880f,
  0.958266071408017670f, 0.285877834727080620f, 0.957826413027532910f,
    0.287347459544729510f, 0.957384500788975860f, 0.288816408206049480f,
  0.956940335732208820f, 0.290284677254462330f, 0.956493918902395100f,
    0.291752263234989260f, 0.956045251349996410f, 0.293219162694258630f,
  0.955594334130771110f, 0.294685372180514330f, 0.955141168305770780f,
    0.296150888243623790f, 0.954685754941338340f, 0.297615707435086200f,
  0.954228095109105670f, 0.299079826308040480f, 0.953768189885990330f,
    0.300543241417273450f, 0.953306040354193860f, 0.302005949319228080f,
  0.952841647601198720f, 0.303467946572011320f, 0.952375012719765880f,
    0.304929229735402370f, 0.951906136807932350f, 0.306389795370860920f,
  0.951435020969008340f, 0.307849640041534870f, 0.950961666311575080f,
    0.309308760312268730f, 0.950486073949481700f, 0.310767152749611470f,
  0.950008245001843000f, 0.312224813921824880f, 0.949528180593036670f,
    0.313681740398891520f, 0.949045881852700560f, 0.315137928752522440f,
  0.948561349915730270f, 0.316593375556165850f, 0.948074585922276230f,
    0.318048077385014950f, 0.947585591017741090f, 0.319502030816015690f,
  0.947094366352777220f, 0.320955232427875210f, 0.946600913083283530f,
    0.322407678801069850f, 0.946105232370403450f, 0.323859366517852850f,
  0.945607325380521280f, 0.325310292162262930f, 0.945107193285260610f,
    0.326760452320131730f, 0.944604837261480260f, 0.328209843579092500f,
  0.944100258491272660f, 0.329658462528587490f, 0.943593458161960390f,
    0.331106305759876430f, 0.943084437466093490f, 0.332553369866044220f,
  0.942573197601446870f, 0.333999651442009380f, 0.942059739771017310f,
    0.335445147084531600f, 0.941544065183020810f, 0.336889853392220050f,
  0.941026175050889260f, 0.338333766965541130f, 0.940506070593268300f,
    0.339776884406826850f, 0.939983753034014050f, 0.341219202320282360f,
  0.939459223602189920f, 0.342660717311994380f, 0.938932483532064600f,
    0.344101425989938810f, 0.938403534063108060f, 0.345541324963989090f,
  0.937872376439989890f, 0.346980410845923680f, 0.937339011912574960f,
    0.348418680249434560f, 0.936803441735921560f, 0.349856129790134920f,
  0.936265667170278260f, 0.351292756085567090f, 0.935725689481080370f,
    0.352728555755210730f, 0.935183509938947610f, 0.354163525420490340f,
  0.934639129819680780f, 0.355597661704783850f, 0.934092550404258980f,
    0.357030961233429980f, 0.933543772978836170f, 0.358463420633736540f,
  0.932992798834738960f, 0.359895036534988110f, 0.932439629268462360f,
    0.361325805568454280f, 0.931884265581668150f, 0.362755724367397230f,
  0.931326709081180430f, 0.364184789567079890f, 0.930766961078983710f,
    0.365612997804773850f, 0.930205022892219070f, 0.367040345719767180f,
  0.929640895843181330f, 0.368466829953372320f, 0.929074581259315860f,
    0.369892447148934100f, 0.928506080473215590f, 0.371317193951837540f,
  0.927935394822617890f, 0.372741067009515760f, 0.927362525650401110f,
    0.374164062971457930f, 0.926787474304581750f, 0.375586178489217220f,
  0.926210242138311380f, 0.377007410216418260f, 0.925630830509872720f,
    0.378427754808765560f, 0.925049240782677580f, 0.379847208924051160f,
  0.924465474325262600f, 0.381265769222162380f, 0.923879532511286740f,
    0.382683432365089780f, 0.923291416719527640f, 0.384100195016935040f,
  0.922701128333878630f, 0.385516053843918850f, 0.922108668743345180f,
    0.386931005514388580f, 0.921514039342042010f, 0.388345046698826250f,
  0.920917241529189520f, 0.389758174069856410f, 0.920318276709110590f,
    0.391170384302253870f, 0.919717146291227360f, 0.392581674072951470f,
  0.919113851690057770f, 0.393992040061048100f, 0.918508394325212250f,
    0.395401478947816350f, 0.917900775621390500f, 0.396809987416710310f,
  0.917290997008377910f, 0.398217562153373560f, 0.916679059921042700f,
    0.399624199845646790f, 0.916064965799331720f, 0.401029897183575620f,
  0.915448716088267830f, 0.402434650859418430f, 0.914830312237946200f,
    0.403838457567654070f, 0.914209755703530690f, 0.405241314004989860f,
  0.913587047945250810f, 0.406643216870369030f, 0.912962190428398210f,
    0.408044162864978690f, 0.912335184623322750f, 0.409444148692257590f,
  0.911706032005429880f, 0.410843171057903910f, 0.911074734055176360f,
    0.412241226669882890f, 0.910441292258067250f, 0.413638312238434500f,
  0.909805708104652220f, 0.415034424476081630f, 0.909167983090522380f,
    0.416429560097637150f, 0.908528118716306120f, 0.417823715820212270f,
  0.907886116487666260f, 0.419216888363223910f, 0.907241977915295820f,
    0.420609074448402510f, 0.906595704514915330f, 0.422000270799799680f,
  0.905947297807268460f, 0.423390474143796050f, 0.905296759318118820f,
    0.424779681209108810f, 0.904644090578246240f, 0.426167888726799620f,
  0.903989293123443340f, 0.427555093430282080f, 0.903332368494511820f,
    0.428941292055329490f, 0.902673318237258830f, 0.430326481340082610f,
  0.902012143902493180f, 0.431710658025057260f, 0.901348847046022030f,
    0.433093818853151960f, 0.900683429228646970f, 0.434475960569655650f,
  0.900015892016160280f, 0.435857079922255470f, 0.899346236979341570f,
    0.437237173661044090f, 0.898674465693953820f, 0.438616238538527660f,
  0.898000579740739880f, 0.439994271309633260f, 0.897324580705418320f,
    0.441371268731716670f, 0.896646470178680150f, 0.442747227564570020f,
  0.895966249756185220f, 0.444122144570429200f, 0.895283921038557580f,
    0.445496016513981740f, 0.894599485631382700f, 0.446868840162374160f,
  0.893912945145203250f, 0.448240612285219890f, 0.893224301195515320f,
    0.449611329654606540f, 0.892533555402764580f, 0.450980989045103860f,
  0.891840709392342720f, 0.452349587233770890f, 0.891145764794583180f,
    0.453717121000163870f, 0.890448723244757880f, 0.455083587126343840f,
  0.889749586383072780f, 0.456448982396883920f, 0.889048355854664570f,
    0.457813303598877170f, 0.888345033309596350f, 0.459176547521944090f,
  0.887639620402853930f, 0.460538710958240010f, 0.886932118794342190f,
    0.461899790702462730f, 0.886222530148880640f, 0.463259783551860150f,
  0.885510856136199950f, 0.464618686306237820f, 0.884797098430937790f,
    0.465976495767966180f, 0.884081258712634990f, 0.467333208741988420f,
  0.883363338665731580f, 0.468688822035827900f, 0.882643339979562790f,
    0.470043332459595620f, 0.881921264348355050f, 0.471396736825997640f,
  0.881197113471222090f, 0.472749031950342790f, 0.880470889052160750f,
    0.474100214650549970f, 0.879742592800047410f, 0.475450281747155870f,
  0.879012226428633530f, 0.476799230063322090f, 0.878279791656541580f,
    0.478147056424843010f, 0.877545290207261350f, 0.479493757660153010f,
  0.876808723809145650f, 0.480839330600333960f, 0.876070094195406600f,
    0.482183772079122720f, 0.875329403104110890f, 0.483527078932918740f,
  0.874586652278176110f, 0.484869248000791060f, 0.873841843465366860f,
    0.486210276124486420f, 0.873094978418290090f, 0.487550160148436000f,
  0.872346058894391540f, 0.488888896919763170f, 0.871595086655950980f,
    0.490226483288291160f, 0.870842063470078980f, 0.491562916106549900f,
  0.870086991108711460f, 0.492898192229784040f, 0.869329871348606840f,
    0.494232308515959670f, 0.868570705971340900f, 0.495565261825772540f,
  0.867809496763303320f, 0.496897049022654470f, 0.867046245515692650f,
    0.498227666972781870f, 0.866280954024512990f, 0.499557112545081840f,
  0.865513624090569090f, 0.500885382611240710f, 0.864744257519462380f,
    0.502212474045710790f, 0.863972856121586810f, 0.503538383725717580f,
  0.863199421712124160f, 0.504863108531267590f, 0.862423956111040610f,
    0.506186645345155230f, 0.861646461143081300f, 0.507508991052970870f,
  0.860866938637767310f, 0.508830142543106990f, 0.860085390429390140f,
    0.510150096706766810f, 0.859301818357008470f, 0.511468850437970300f,
  0.858516224264442740f, 0.512786400633562960f, 0.857728610000272120f,
    0.514102744193221660f, 0.856938977417828760f, 0.515417878019462930f,
  0.856147328375194470f, 0.516731799017649870f, 0.855353664735196030f,
    0.518044504095999340f, 0.854557988365400530f, 0.519355990165589640f,
  0.853760301138111410f, 0.520666254140367160f, 0.852960604930363630f,
    0.521975292937154390f, 0.852158901623919830f, 0.523283103475656430f,
  0.851355193105265200f, 0.524589682678468950f, 0.850549481265603480f,
    0.525895027471084630f, 0.849741768000852550f, 0.527199134781901280f,
  0.848932055211639610f, 0.528502001542228480f, 0.848120344803297230f,
    0.529803624686294610f, 0.847306638685858320f, 0.531104001151255000f,
  0.846490938774052130f, 0.532403127877197900f, 0.845673246987299070f,
    0.533701001807152960f, 0.844853565249707120f, 0.534997619887097150f,
  0.844031895490066410f, 0.536292979065963180f, 0.843208239641845440f,
    0.537587076295645390f, 0.842382599643185850f, 0.538879908531008420f,
  0.841554977436898440f, 0.540171472729892850f, 0.840725374970458070f,
    0.541461765853123440f, 0.839893794195999520f, 0.542750784864515890f,
  0.839060237070312740f, 0.544038526730883820f, 0.838224705554838080f,
    0.545324988422046460f, 0.837387201615661940f, 0.546610166910834860f,
  0.836547727223512010f, 0.547894059173100190f, 0.835706284353752600f,
    0.549176662187719660f, 0.834862874986380010f, 0.550457972936604810f,
  0.834017501106018130f, 0.551737988404707340f, 0.833170164701913190f,
    0.553016705580027470f, 0.832320867767929680f, 0.554294121453620000f,
  0.831469612302545240f, 0.555570233019602180f, 0.830616400308846310f,
    0.556845037275160100f, 0.829761233794523050f, 0.558118531220556100f,
  0.828904114771864870f, 0.559390711859136140f, 0.828045045257755800f,
    0.560661576197336030f, 0.827184027273669130f, 0.561931121244689470f,
  0.826321062845663530f, 0.563199344013834090f, 0.825456154004377550f,
    0.564466241520519500f, 0.824589302785025290f, 0.565731810783613120f,
  0.823720511227391430f, 0.566996048825108680f, 0.822849781375826430f,
    0.568258952670131490f, 0.821977115279241550f, 0.569520519346947140f,
  0.821102514991104650f, 0.570780745886967260f, 0.820225982569434690f,
    0.572039629324757050f, 0.819347520076796900f, 0.573297166698042200f,
  0.818467129580298660f, 0.574553355047715760f, 0.817584813151583710f,
    0.575808191417845340f, 0.816700572866827850f, 0.577061672855679440f,
  0.815814410806733780f, 0.578313796411655590f, 0.814926329056526620f,
    0.579564559139405630f, 0.814036329705948410f, 0.580813958095764530f,
  0.813144414849253590f, 0.582061990340775440f, 0.812250586585203880f,
    0.583308652937698290f, 0.811354847017063730f, 0.584553942953015330f,
  0.810457198252594770f, 0.585797857456438860f, 0.809557642404051260f,
    0.587040393520917970f, 0.808656181588174980f, 0.588281548222645220f,
  0.807752817926190360f, 0.589521318641063940f, 0.806847553543799330f,
    0.590759701858874160f, 0.805940390571176280f, 0.591996694962040990f,
  0.805031331142963660f, 0.593232295039799800f, 0.804120377398265810f,
    0.594466499184664430f, 0.803207531480644940f, 0.595699304492433360f,
  0.802292795538115720f, 0.596930708062196500f, 0.801376171723140240f,
    0.598160706996342270f, 0.800457662192622820f, 0.599389298400564540f,
  0.799537269107905010f, 0.600616479383868970f, 0.798614994634760820f,
    0.601842247058580030f, 0.797690840943391160f, 0.603066598540348160f,
  0.796764810208418830f, 0.604289530948155960f, 0.795836904608883570f,
    0.605511041404325550f, 0.794907126328237010f, 0.606731127034524480f,
  0.793975477554337170f, 0.607949784967773630f, 0.793041960479443640f,
    0.609167012336453210f, 0.792106577300212390f, 0.610382806276309480f,
  0.791169330217690200f, 0.611597163926461910f, 0.790230221437310030f,
    0.612810082429409710f, 0.789289253168885650f, 0.614021558931038380f,
  0.788346427626606340f, 0.615231590580626820f, 0.787401747029031430f,
    0.616440174530853650f, 0.786455213599085770f, 0.617647307937803870f,
  0.785506829564053930f, 0.618852987960976320f, 0.784556597155575240f,
    0.620057211763289100f, 0.783604518609638200f, 0.621259976511087550f,
  0.782650596166575730f, 0.622461279374149970f, 0.781694832071059390f,
    0.623661117525694530f, 0.780737228572094490f, 0.624859488142386340f,
  0.779777787923014550f, 0.626056388404343520f, 0.778816512381475980f,
    0.627251815495144080f, 0.777853404209453150f, 0.628445766601832710f,
  0.776888465673232440f, 0.629638238914926980f, 0.775921699043407690f,
    0.630829229628424470f, 0.774953106594873930f, 0.632018735939809060f,
  0.773982690606822900f, 0.633206755050057190f, 0.773010453362736990f,
    0.634393284163645490f, 0.772036397150384520f, 0.635578320488556110f,
  0.771060524261813820f, 0.636761861236284200f, 0.770082836993347900f,
    0.637943903621844060f, 0.769103337645579700f, 0.639124444863775730f,
  0.768122028523365420f, 0.640303482184151670f, 0.767138911935820400f,
    0.641481012808583160f, 0.766153990196312920f, 0.642657033966226860f,
  0.765167265622458960f, 0.643831542889791390f, 0.764178740536116670f,
    0.645004536815543930f, 0.763188417263381270f, 0.646176012983316280f,
  0.762196298134578900f, 0.647345968636512060f, 0.761202385484261780f,
    0.648514401022112440f, 0.760206681651202420f, 0.649681307390683190f,
  0.759209188978388070f, 0.650846684996380880f, 0.758209909813015280f,
    0.652010531096959500f, 0.757208846506484570f, 0.653172842953776760f,
  0.756206001414394540f, 0.654333617831800440f, 0.755201376896536550f,
    0.655492852999615350f, 0.754194975316889170f, 0.656650545729428940f,
  0.753186799043612520f, 0.657806693297078640f, 0.752176850449042810f,
    0.658961292982037320f, 0.751165131909686480f, 0.660114342067420480f,
  0.750151645806215070f, 0.661265837839992270f, 0.749136394523459370f,
    0.662415777590171780f, 0.748119380450403600f, 0.663564158612039770f,
  0.747100605980180130f, 0.664710978203344790f, 0.746080073510063780f,
    0.665856233665509720f, 0.745057785441466060f, 0.666999922303637470f,
  0.744033744179929290f, 0.668142041426518450f, 0.743007952135121720f,
    0.669282588346636010f, 0.741980411720831070f, 0.670421560380173090f,
  0.740951125354959110f, 0.671558954847018330f, 0.739920095459516200f,
    0.672694769070772860f, 0.738887324460615110f, 0.673829000378756040f,
  0.737852814788465980f, 0.674961646102011930f, 0.736816568877369900f,
    0.676092703575315920f, 0.735778589165713590f, 0.677222170137180330f,
  0.734738878095963500f, 0.678350043129861470f, 0.733697438114660370f,
    0.679476319899364970f, 0.732654271672412820f, 0.680600997795453020f,
  0.731609381223892630f, 0.681724074171649710f, 0.730562769227827590f,
    0.682845546385248080f, 0.729514438146997010f, 0.683965411797315400f,
  0.728464390448225200f, 0.685083667772700360f, 0.727412628602375770f,
    0.686200311680038590f, 0.726359155084346010f, 0.687315340891759050f,
  0.725303972373060770f, 0.688428752784090440f, 0.724247082951467000f,
    0.689540544737066830f, 0.723188489306527460f, 0.690650714134534600f,
  0.722128193929215350f, 0.691759258364157750f, 0.721066199314508110f,
    0.692866174817424630f, 0.720002507961381650f, 0.693971460889654000f,
  0.718937122372804490f, 0.695075113980000880f, 0.717870045055731710f,
    0.696177131491462990f, 0.716801278521099540f, 0.697277510830886520f,
  0.715730825283818590f, 0.698376249408972920f, 0.714658687862769090f,
    0.699473344640283770f, 0.713584868780793640f, 0.700568793943248340f,
  0.712509370564692320f, 0.701662594740168450f, 0.711432195745216430f,
    0.702754744457225300f, 0.710353346857062420f, 0.703845240524484940f,
  0.709272826438865690f, 0.704934080375904880f, 0.708190637033195400f,
    0.706021261449339740f, 0.707106781186547570f, 0.707106781186547460f,
  0.706021261449339740f, 0.708190637033195290f, 0.704934080375904990f,
    0.709272826438865580f, 0.703845240524484940f, 0.710353346857062310f,
  0.702754744457225300f, 0.711432195745216430f, 0.701662594740168570f,
    0.712509370564692320f, 0.700568793943248450f, 0.713584868780793520f,
  0.699473344640283770f, 0.714658687862768980f, 0.698376249408972920f,
    0.715730825283818590f, 0.697277510830886630f, 0.716801278521099540f,
  0.696177131491462990f, 0.717870045055731710f, 0.695075113980000880f,
    0.718937122372804380f, 0.693971460889654000f, 0.720002507961381650f,
  0.692866174817424740f, 0.721066199314508110f, 0.691759258364157750f,
    0.722128193929215350f, 0.690650714134534720f, 0.723188489306527350f,
  0.689540544737066940f, 0.724247082951466890f, 0.688428752784090550f,
    0.725303972373060660f, 0.687315340891759160f, 0.726359155084346010f,
  0.686200311680038700f, 0.727412628602375770f, 0.685083667772700360f,
    0.728464390448225200f, 0.683965411797315510f, 0.729514438146996900f,
  0.682845546385248080f, 0.730562769227827590f, 0.681724074171649820f,
    0.731609381223892520f, 0.680600997795453130f, 0.732654271672412820f,
  0.679476319899365080f, 0.733697438114660260f, 0.678350043129861580f,
    0.734738878095963390f, 0.677222170137180450f, 0.735778589165713480f,
  0.676092703575316030f, 0.736816568877369790f, 0.674961646102012040f,
    0.737852814788465980f, 0.673829000378756150f, 0.738887324460615110f,
  0.672694769070772970f, 0.739920095459516090f, 0.671558954847018330f,
    0.740951125354959110f, 0.670421560380173090f, 0.741980411720830960f,
  0.669282588346636010f, 0.743007952135121720f, 0.668142041426518560f,
    0.744033744179929180f, 0.666999922303637470f, 0.745057785441465950f,
  0.665856233665509720f, 0.746080073510063780f, 0.664710978203344900f,
    0.747100605980180130f, 0.663564158612039880f, 0.748119380450403490f,
  0.662415777590171780f, 0.749136394523459260f, 0.661265837839992270f,
    0.750151645806214960f, 0.660114342067420480f, 0.751165131909686370f,
  0.658961292982037320f, 0.752176850449042700f, 0.657806693297078640f,
    0.753186799043612410f, 0.656650545729429050f, 0.754194975316889170f,
  0.655492852999615460f, 0.755201376896536550f, 0.654333617831800550f,
    0.756206001414394540f, 0.653172842953776760f, 0.757208846506484460f,
  0.652010531096959500f, 0.758209909813015280f, 0.650846684996380990f,
    0.759209188978387960f, 0.649681307390683190f, 0.760206681651202420f,
  0.648514401022112550f, 0.761202385484261780f, 0.647345968636512060f,
    0.762196298134578900f, 0.646176012983316390f, 0.763188417263381270f,
  0.645004536815544040f, 0.764178740536116670f, 0.643831542889791500f,
    0.765167265622458960f, 0.642657033966226860f, 0.766153990196312810f,
  0.641481012808583160f, 0.767138911935820400f, 0.640303482184151670f,
    0.768122028523365310f, 0.639124444863775730f, 0.769103337645579590f,
  0.637943903621844170f, 0.770082836993347900f, 0.636761861236284200f,
    0.771060524261813710f, 0.635578320488556230f, 0.772036397150384410f,
  0.634393284163645490f, 0.773010453362736990f, 0.633206755050057190f,
    0.773982690606822790f, 0.632018735939809060f, 0.774953106594873820f,
  0.630829229628424470f, 0.775921699043407580f, 0.629638238914927100f,
    0.776888465673232440f, 0.628445766601832710f, 0.777853404209453040f,
  0.627251815495144190f, 0.778816512381475870f, 0.626056388404343520f,
    0.779777787923014440f, 0.624859488142386450f, 0.780737228572094380f,
  0.623661117525694640f, 0.781694832071059390f, 0.622461279374150080f,
    0.782650596166575730f, 0.621259976511087660f, 0.783604518609638200f,
  0.620057211763289210f, 0.784556597155575240f, 0.618852987960976320f,
    0.785506829564053930f, 0.617647307937803980f, 0.786455213599085770f,
  0.616440174530853650f, 0.787401747029031320f, 0.615231590580626820f,
    0.788346427626606230f, 0.614021558931038490f, 0.789289253168885650f,
  0.612810082429409710f, 0.790230221437310030f, 0.611597163926462020f,
    0.791169330217690090f, 0.610382806276309480f, 0.792106577300212390f,
  0.609167012336453210f, 0.793041960479443640f, 0.607949784967773740f,
    0.793975477554337170f, 0.606731127034524480f, 0.794907126328237010f,
  0.605511041404325550f, 0.795836904608883460f, 0.604289530948156070f,
    0.796764810208418720f, 0.603066598540348280f, 0.797690840943391040f,
  0.601842247058580030f, 0.798614994634760820f, 0.600616479383868970f,
    0.799537269107905010f, 0.599389298400564540f, 0.800457662192622710f,
  0.598160706996342380f, 0.801376171723140130f, 0.596930708062196500f,
    0.802292795538115720f, 0.595699304492433470f, 0.803207531480644830f,
  0.594466499184664540f, 0.804120377398265700f, 0.593232295039799800f,
    0.805031331142963660f, 0.591996694962040990f, 0.805940390571176280f,
  0.590759701858874280f, 0.806847553543799220f, 0.589521318641063940f,
    0.807752817926190360f, 0.588281548222645330f, 0.808656181588174980f,
  0.587040393520918080f, 0.809557642404051260f, 0.585797857456438860f,
    0.810457198252594770f, 0.584553942953015330f, 0.811354847017063730f,
  0.583308652937698290f, 0.812250586585203880f, 0.582061990340775550f,
    0.813144414849253590f, 0.580813958095764530f, 0.814036329705948300f,
  0.579564559139405740f, 0.814926329056526620f, 0.578313796411655590f,
    0.815814410806733780f, 0.577061672855679550f, 0.816700572866827850f,
  0.575808191417845340f, 0.817584813151583710f, 0.574553355047715760f,
    0.818467129580298660f, 0.573297166698042320f, 0.819347520076796900f,
  0.572039629324757050f, 0.820225982569434690f, 0.570780745886967370f,
    0.821102514991104650f, 0.569520519346947250f, 0.821977115279241550f,
  0.568258952670131490f, 0.822849781375826320f, 0.566996048825108680f,
    0.823720511227391320f, 0.565731810783613230f, 0.824589302785025290f,
  0.564466241520519500f, 0.825456154004377440f, 0.563199344013834090f,
    0.826321062845663420f, 0.561931121244689470f, 0.827184027273669020f,
  0.560661576197336030f, 0.828045045257755800f, 0.559390711859136140f,
    0.828904114771864870f, 0.558118531220556100f, 0.829761233794523050f,
  0.556845037275160100f, 0.830616400308846200f, 0.555570233019602290f,
    0.831469612302545240f, 0.554294121453620110f, 0.832320867767929680f,
  0.553016705580027580f, 0.833170164701913190f, 0.551737988404707450f,
    0.834017501106018130f, 0.550457972936604810f, 0.834862874986380010f,
  0.549176662187719770f, 0.835706284353752600f, 0.547894059173100190f,
    0.836547727223511890f, 0.546610166910834860f, 0.837387201615661940f,
  0.545324988422046460f, 0.838224705554837970f, 0.544038526730883930f,
    0.839060237070312630f, 0.542750784864516000f, 0.839893794195999410f,
  0.541461765853123560f, 0.840725374970458070f, 0.540171472729892970f,
    0.841554977436898330f, 0.538879908531008420f, 0.842382599643185960f,
  0.537587076295645510f, 0.843208239641845440f, 0.536292979065963180f,
    0.844031895490066410f, 0.534997619887097260f, 0.844853565249707010f,
  0.533701001807152960f, 0.845673246987299070f, 0.532403127877198010f,
    0.846490938774052020f, 0.531104001151255000f, 0.847306638685858320f,
  0.529803624686294830f, 0.848120344803297120f, 0.528502001542228480f,
    0.848932055211639610f, 0.527199134781901390f, 0.849741768000852440f,
  0.525895027471084740f, 0.850549481265603370f, 0.524589682678468840f,
    0.851355193105265200f, 0.523283103475656430f, 0.852158901623919830f,
  0.521975292937154390f, 0.852960604930363630f, 0.520666254140367270f,
    0.853760301138111300f, 0.519355990165589530f, 0.854557988365400530f,
  0.518044504095999340f, 0.855353664735196030f, 0.516731799017649980f,
    0.856147328375194470f, 0.515417878019463150f, 0.856938977417828650f,
  0.514102744193221660f, 0.857728610000272120f, 0.512786400633563070f,
    0.858516224264442740f, 0.511468850437970520f, 0.859301818357008360f,
  0.510150096706766700f, 0.860085390429390140f, 0.508830142543106990f,
    0.860866938637767310f, 0.507508991052970870f, 0.861646461143081300f,
  0.506186645345155450f, 0.862423956111040500f, 0.504863108531267480f,
    0.863199421712124160f, 0.503538383725717580f, 0.863972856121586700f,
  0.502212474045710900f, 0.864744257519462380f, 0.500885382611240940f,
    0.865513624090568980f, 0.499557112545081890f, 0.866280954024512990f,
  0.498227666972781870f, 0.867046245515692650f, 0.496897049022654640f,
    0.867809496763303210f, 0.495565261825772490f, 0.868570705971340900f,
  0.494232308515959730f, 0.869329871348606730f, 0.492898192229784090f,
    0.870086991108711350f, 0.491562916106550060f, 0.870842063470078860f,
  0.490226483288291100f, 0.871595086655951090f, 0.488888896919763230f,
    0.872346058894391540f, 0.487550160148436050f, 0.873094978418290090f,
  0.486210276124486530f, 0.873841843465366750f, 0.484869248000791120f,
    0.874586652278176110f, 0.483527078932918740f, 0.875329403104110780f,
  0.482183772079122830f, 0.876070094195406600f, 0.480839330600333900f,
    0.876808723809145760f, 0.479493757660153010f, 0.877545290207261240f,
  0.478147056424843120f, 0.878279791656541460f, 0.476799230063322250f,
    0.879012226428633410f, 0.475450281747155870f, 0.879742592800047410f,
  0.474100214650550020f, 0.880470889052160750f, 0.472749031950342900f,
    0.881197113471221980f, 0.471396736825997810f, 0.881921264348354940f,
  0.470043332459595620f, 0.882643339979562790f, 0.468688822035827960f,
    0.883363338665731580f, 0.467333208741988530f, 0.884081258712634990f,
  0.465976495767966130f, 0.884797098430937790f, 0.464618686306237820f,
    0.885510856136199950f, 0.463259783551860260f, 0.886222530148880640f,
  0.461899790702462840f, 0.886932118794342080f, 0.460538710958240010f,
    0.887639620402853930f, 0.459176547521944150f, 0.888345033309596240f,
  0.457813303598877290f, 0.889048355854664570f, 0.456448982396883860f,
    0.889749586383072890f, 0.455083587126343840f, 0.890448723244757880f,
  0.453717121000163930f, 0.891145764794583180f, 0.452349587233771000f,
    0.891840709392342720f, 0.450980989045103810f, 0.892533555402764690f,
  0.449611329654606600f, 0.893224301195515320f, 0.448240612285220000f,
    0.893912945145203250f, 0.446868840162374330f, 0.894599485631382580f,
  0.445496016513981740f, 0.895283921038557580f, 0.444122144570429260f,
    0.895966249756185110f, 0.442747227564570130f, 0.896646470178680150f,
  0.441371268731716620f, 0.897324580705418320f, 0.439994271309633260f,
    0.898000579740739880f, 0.438616238538527710f, 0.898674465693953820f,
  0.437237173661044200f, 0.899346236979341460f, 0.435857079922255470f,
    0.900015892016160280f, 0.434475960569655710f, 0.900683429228646860f,
  0.433093818853152010f, 0.901348847046022030f, 0.431710658025057370f,
    0.902012143902493070f, 0.430326481340082610f, 0.902673318237258830f,
  0.428941292055329550f, 0.903332368494511820f, 0.427555093430282200f,
    0.903989293123443340f, 0.426167888726799620f, 0.904644090578246240f,
  0.424779681209108810f, 0.905296759318118820f, 0.423390474143796100f,
    0.905947297807268460f, 0.422000270799799790f, 0.906595704514915330f,
  0.420609074448402510f, 0.907241977915295930f, 0.419216888363223960f,
    0.907886116487666150f, 0.417823715820212380f, 0.908528118716306120f,
  0.416429560097637320f, 0.909167983090522270f, 0.415034424476081630f,
    0.909805708104652220f, 0.413638312238434560f, 0.910441292258067140f,
  0.412241226669883000f, 0.911074734055176250f, 0.410843171057903910f,
    0.911706032005429880f, 0.409444148692257590f, 0.912335184623322750f,
  0.408044162864978740f, 0.912962190428398100f, 0.406643216870369140f,
    0.913587047945250810f, 0.405241314004989860f, 0.914209755703530690f,
  0.403838457567654130f, 0.914830312237946090f, 0.402434650859418540f,
    0.915448716088267830f, 0.401029897183575790f, 0.916064965799331610f,
  0.399624199845646790f, 0.916679059921042700f, 0.398217562153373620f,
    0.917290997008377910f, 0.396809987416710420f, 0.917900775621390390f,
  0.395401478947816300f, 0.918508394325212250f, 0.393992040061048100f,
    0.919113851690057770f, 0.392581674072951530f, 0.919717146291227360f,
  0.391170384302253980f, 0.920318276709110480f, 0.389758174069856410f,
    0.920917241529189520f, 0.388345046698826300f, 0.921514039342041900f,
  0.386931005514388690f, 0.922108668743345070f, 0.385516053843919020f,
    0.922701128333878520f, 0.384100195016935040f, 0.923291416719527640f,
  0.382683432365089840f, 0.923879532511286740f, 0.381265769222162490f,
    0.924465474325262600f, 0.379847208924051110f, 0.925049240782677580f,
  0.378427754808765620f, 0.925630830509872720f, 0.377007410216418310f,
    0.926210242138311270f, 0.375586178489217330f, 0.926787474304581750f,
  0.374164062971457990f, 0.927362525650401110f, 0.372741067009515810f,
    0.927935394822617890f, 0.371317193951837600f, 0.928506080473215480f,
  0.369892447148934270f, 0.929074581259315750f, 0.368466829953372320f,
    0.929640895843181330f, 0.367040345719767240f, 0.930205022892219070f,
  0.365612997804773960f, 0.930766961078983710f, 0.364184789567079840f,
    0.931326709081180430f, 0.362755724367397230f, 0.931884265581668150f,
  0.361325805568454340f, 0.932439629268462360f, 0.359895036534988280f,
    0.932992798834738850f, 0.358463420633736540f, 0.933543772978836170f,
  0.357030961233430030f, 0.934092550404258870f, 0.355597661704783960f,
    0.934639129819680780f, 0.354163525420490510f, 0.935183509938947500f,
  0.352728555755210730f, 0.935725689481080370f, 0.351292756085567150f,
    0.936265667170278260f, 0.349856129790135030f, 0.936803441735921560f,
  0.348418680249434510f, 0.937339011912574960f, 0.346980410845923680f,
    0.937872376439989890f, 0.345541324963989150f, 0.938403534063108060f,
  0.344101425989938980f, 0.938932483532064490f, 0.342660717311994380f,
    0.939459223602189920f, 0.341219202320282410f, 0.939983753034013940f,
  0.339776884406826960f, 0.940506070593268300f, 0.338333766965541290f,
    0.941026175050889260f, 0.336889853392220050f, 0.941544065183020810f,
  0.335445147084531660f, 0.942059739771017310f, 0.333999651442009490f,
    0.942573197601446870f, 0.332553369866044220f, 0.943084437466093490f,
  0.331106305759876430f, 0.943593458161960390f, 0.329658462528587550f,
    0.944100258491272660f, 0.328209843579092660f, 0.944604837261480260f,
  0.326760452320131790f, 0.945107193285260610f, 0.325310292162262980f,
    0.945607325380521280f, 0.323859366517852960f, 0.946105232370403340f,
  0.322407678801070020f, 0.946600913083283530f, 0.320955232427875210f,
    0.947094366352777220f, 0.319502030816015750f, 0.947585591017741090f,
  0.318048077385015060f, 0.948074585922276230f, 0.316593375556165850f,
    0.948561349915730270f, 0.315137928752522440f, 0.949045881852700560f,
  0.313681740398891570f, 0.949528180593036670f, 0.312224813921825050f,
    0.950008245001843000f, 0.310767152749611470f, 0.950486073949481700f,
  0.309308760312268780f, 0.950961666311575080f, 0.307849640041534980f,
    0.951435020969008340f, 0.306389795370861080f, 0.951906136807932230f,
  0.304929229735402430f, 0.952375012719765880f, 0.303467946572011370f,
    0.952841647601198720f, 0.302005949319228200f, 0.953306040354193750f,
  0.300543241417273400f, 0.953768189885990330f, 0.299079826308040480f,
    0.954228095109105670f, 0.297615707435086310f, 0.954685754941338340f,
  0.296150888243623960f, 0.955141168305770670f, 0.294685372180514330f,
    0.955594334130771110f, 0.293219162694258680f, 0.956045251349996410f,
  0.291752263234989370f, 0.956493918902394990f, 0.290284677254462330f,
    0.956940335732208940f, 0.288816408206049480f, 0.957384500788975860f,
  0.287347459544729570f, 0.957826413027532910f, 0.285877834727080730f,
    0.958266071408017670f, 0.284407537211271820f, 0.958703474895871600f,
  0.282936570457055390f, 0.959138622461841890f, 0.281464937925758050f,
    0.959571513081984520f, 0.279992643080273380f, 0.960002145737665850f,
  0.278519689385053060f, 0.960430519415565790f, 0.277046080306099950f,
    0.960856633107679660f, 0.275571819310958250f, 0.961280485811320640f,
  0.274096909868706330f, 0.961702076529122540f, 0.272621355449948980f,
    0.962121404269041580f, 0.271145159526808070f, 0.962538468044359160f,
  0.269668325572915200f, 0.962953266873683880f, 0.268190857063403180f,
    0.963365799780954050f, 0.266712757474898420f, 0.963776065795439840f,
  0.265234030285511900f, 0.964184063951745720f, 0.263754678974831510f,
    0.964589793289812650f, 0.262274707023913590f, 0.964993252854920320f,
  0.260794117915275570f, 0.965394441697689400f, 0.259312915132886350f,
    0.965793358874083570f, 0.257831102162158930f, 0.966190003445412620f,
  0.256348682489942910f, 0.966584374478333120f, 0.254865659604514630f,
    0.966976471044852070f, 0.253382036995570270f, 0.967366292222328510f,
  0.251897818154216910f, 0.967753837093475510f, 0.250413006572965280f,
    0.968139104746362330f, 0.248927605745720260f, 0.968522094274417270f,
  0.247441619167773440f, 0.968902804776428870f, 0.245955050335794590f,
    0.969281235356548530f, 0.244467902747824210f, 0.969657385124292450f,
  0.242980179903263980f, 0.970031253194543970f, 0.241491885302869300f,
    0.970402838687555500f, 0.240003022448741500f, 0.970772140728950350f,
  0.238513594844318500f, 0.971139158449725090f, 0.237023605994367340f,
    0.971503890986251780f, 0.235533059404975460f, 0.971866337480279400f,
  0.234041958583543460f, 0.972226497078936270f, 0.232550307038775330f,
    0.972584368934732210f, 0.231058108280671280f, 0.972939952205560070f,
  0.229565365820518870f, 0.973293246054698250f, 0.228072083170885790f,
    0.973644249650811870f, 0.226578263845610110f, 0.973992962167955830f,
  0.225083911359792780f, 0.974339382785575860f, 0.223589029229790020f,
    0.974683510688510670f, 0.222093620973203590f, 0.975025345066994120f,
  0.220597690108873650f, 0.975364885116656870f, 0.219101240156869770f,
    0.975702130038528570f, 0.217604274638483670f, 0.976037079039039020f,
  0.216106797076219600f, 0.976369731330021140f, 0.214608810993786920f,
    0.976700086128711840f, 0.213110319916091360f, 0.977028142657754390f,
  0.211611327369227610f, 0.977353900145199960f, 0.210111836880469720f,
    0.977677357824509930f, 0.208611851978263460f, 0.977998514934557140f,
  0.207111376192218560f, 0.978317370719627650f, 0.205610413053099320f,
    0.978633924429423100f, 0.204108966092817010f, 0.978948175319062200f,
  0.202607038844421110f, 0.979260122649082020f, 0.201104634842091960f,
    0.979569765685440520f, 0.199601757621131050f, 0.979877103699517640f,
  0.198098410717953730f, 0.980182135968117320f, 0.196594597670080220f,
    0.980484861773469380f, 0.195090322016128330f, 0.980785280403230430f,
  0.193585587295803750f, 0.981083391150486590f, 0.192080397049892380f,
    0.981379193313754560f, 0.190574754820252800f, 0.981672686196983110f,
  0.189068664149806280f, 0.981963869109555240f, 0.187562128582529740f,
    0.982252741366289370f, 0.186055151663446630f, 0.982539302287441240f,
  0.184547736938619640f, 0.982823551198705240f, 0.183039887955141060f,
    0.983105487431216290f, 0.181531608261125130f, 0.983385110321551180f,
  0.180022901405699510f, 0.983662419211730250f, 0.178513770938997590f,
    0.983937413449218920f, 0.177004220412148860f, 0.984210092386929030f,
  0.175494253377271400f, 0.984480455383220930f, 0.173983873387463850f,
    0.984748501801904210f, 0.172473083996796030f, 0.985014231012239840f,
  0.170961888760301360f, 0.985277642388941220f, 0.169450291233967930f,
    0.985538735312176060f, 0.167938294974731230f, 0.985797509167567370f,
  0.166425903540464220f, 0.986053963346195440f, 0.164913120489970090f,
    0.986308097244598670f, 0.163399949382973230f, 0.986559910264775410f,
  0.161886393780111910f, 0.986809401814185420f, 0.160372457242928400f,
    0.987056571305750970f, 0.158858143333861390f, 0.987301418157858430f,
  0.157343455616238280f, 0.987543941794359230f, 0.155828397654265320f,
    0.987784141644572180f, 0.154312973013020240f, 0.988022017143283530f,
  0.152797185258443410f, 0.988257567730749460f, 0.151281037957330250f,
    0.988490792852696590f, 0.149764534677321620f, 0.988721691960323780f,
  0.148247678986896200f, 0.988950264510302990f, 0.146730474455361750f,
    0.989176509964781010f, 0.145212924652847520f, 0.989400427791380380f,
  0.143695033150294580f, 0.989622017463200780f, 0.142176803519448000f,
    0.989841278458820530f, 0.140658239332849240f, 0.990058210262297120f,
  0.139139344163826280f, 0.990272812363169110f, 0.137620121586486180f,
    0.990485084256456980f, 0.136100575175706200f, 0.990695025442664630f,
  0.134580708507126220f, 0.990902635427780010f, 0.133060525157139180f,
    0.991107913723276780f, 0.131540028702883280f, 0.991310859846115440f,
  0.130019222722233350f, 0.991511473318743900f, 0.128498110793793220f,
    0.991709753669099530f, 0.126976696496885980f, 0.991905700430609330f,
  0.125454983411546210f, 0.992099313142191800f, 0.123932975118512200f,
    0.992290591348257370f, 0.122410675199216280f, 0.992479534598709970f,
  0.120888087235777220f, 0.992666142448948020f, 0.119365214810991350f,
    0.992850414459865100f, 0.117842061508325020f, 0.993032350197851410f,
  0.116318630911904880f, 0.993211949234794500f, 0.114794926606510250f,
    0.993389211148080650f, 0.113270952177564360f, 0.993564135520595300f,
  0.111746711211126660f, 0.993736721940724600f, 0.110222207293883180f,
    0.993906970002356060f, 0.108697444013138670f, 0.994074879304879370f,
  0.107172424956808870f, 0.994240449453187900f, 0.105647153713410700f,
    0.994403680057679100f, 0.104121633872054730f, 0.994564570734255420f,
  0.102595869022436280f, 0.994723121104325700f, 0.101069862754827880f,
    0.994879330794805620f, 0.099543618660069444f, 0.995033199438118630f,
  0.098017140329560770f, 0.995184726672196820f, 0.096490431355252607f,
    0.995333912140482280f, 0.094963495329639061f, 0.995480755491926940f,
  0.093436335845747912f, 0.995625256380994310f, 0.091908956497132696f,
    0.995767414467659820f, 0.090381360877865011f, 0.995907229417411720f,
  0.088853552582524684f, 0.996044700901251970f, 0.087325535206192226f,
    0.996179828595696870f, 0.085797312344439880f, 0.996312612182778000f,
  0.084268887593324127f, 0.996443051350042630f, 0.082740264549375803f,
    0.996571145790554840f, 0.081211446809592386f, 0.996696895202896060f,
  0.079682437971430126f, 0.996820299291165670f, 0.078153241632794315f,
    0.996941357764982160f, 0.076623861392031617f, 0.997060070339482960f,
  0.075094300847921291f, 0.997176436735326190f, 0.073564563599667454f,
    0.997290456678690210f, 0.072034653246889416f, 0.997402129901275300f,
  0.070504573389614009f, 0.997511456140303450f, 0.068974327628266732f,
    0.997618435138519550f, 0.067443919563664106f, 0.997723066644191640f,
  0.065913352797003930f, 0.997825350411111640f, 0.064382630929857410f,
    0.997925286198596000f, 0.062851757564161420f, 0.998022873771486240f,
  0.061320736302208648f, 0.998118112900149180f, 0.059789570746640007f,
    0.998211003360478190f, 0.058258264500435732f, 0.998301544933892890f,
  0.056726821166907783f, 0.998389737407340160f, 0.055195244349690031f,
    0.998475580573294770f, 0.053663537652730679f, 0.998559074229759310f,
  0.052131704680283317f, 0.998640218180265270f, 0.050599749036899337f,
    0.998719012233872940f, 0.049067674327418126f, 0.998795456205172410f,
  0.047535484156959261f, 0.998869549914283560f, 0.046003182130914644f,
    0.998941293186856870f, 0.044470771854938744f, 0.999010685854073380f,
  0.042938256934940959f, 0.999077727752645360f, 0.041405640977076712f,
    0.999142418724816910f, 0.039872927587739845f, 0.999204758618363890f,
  0.038340120373552791f, 0.999264747286594420f, 0.036807222941358991f,
    0.999322384588349540f, 0.035274238898213947f, 0.999377670388002850f,
  0.033741171851377642f, 0.999430604555461730f, 0.032208025408304704f,
    0.999481186966166950f, 0.030674803176636581f, 0.999529417501093140f,
  0.029141508764193740f, 0.999575296046749220f, 0.027608145778965820f,
    0.999618822495178640f, 0.026074717829104040f, 0.999659996743959220f,
  0.024541228522912264f, 0.999698818696204250f, 0.023007681468839410f,
    0.999735288260561680f, 0.021474080275469605f, 0.999769405351215280f,
  0.019940428551514598f, 0.999801169887884260f, 0.018406729905804820f,
    0.999830581795823400f, 0.016872987947281773f, 0.999857641005823860f,
  0.015339206284988220f, 0.999882347454212560f, 0.013805388528060349f,
    0.999904701082852900f, 0.012271538285719944f, 0.999924701839144500f,
  0.010737659167264572f, 0.999942349676023910f, 0.009203754782059960f,
    0.999957644551963900f, 0.007669828739531077f, 0.999970586430974140f,
  0.006135884649154515f, 0.999981175282601110f, 0.004601926120448672f,
    0.999989411081928400f, 0.003067956762966138f, 0.999995293809576190f,
  0.001533980186284766f, 0.999998823451701880f, 0.000000000000000061f,
    1.000000000000000000f, -0.001533980186284644f, 0.999998823451701880f,
  -0.003067956762966016f, 0.999995293809576190f, -0.004601926120448550f,
    0.999989411081928400f, -0.006135884649154393f, 0.999981175282601110f,
  -0.007669828739530955f, 0.999970586430974140f, -0.009203754782059837f,
    0.999957644551963900f, -0.010737659167264449f, 0.999942349676023910f,
  -0.012271538285719823f, 0.999924701839144500f, -0.013805388528060226f,
    0.999904701082852900f, -0.015339206284988098f, 0.999882347454212560f,
  -0.016872987947281651f, 0.999857641005823860f, -0.018406729905804695f,
    0.999830581795823400f, -0.019940428551514476f, 0.999801169887884260f,
  -0.021474080275469484f, 0.999769405351215280f, -0.023007681468839289f,
    0.999735288260561680f, -0.024541228522912142f, 0.999698818696204250f,
  -0.026074717829103915f, 0.999659996743959220f, -0.027608145778965698f,
    0.999618822495178640f, -0.029141508764193618f, 0.999575296046749220f,
  -0.030674803176636459f, 0.999529417501093140f, -0.032208025408304579f,
    0.999481186966166950f, -0.033741171851377517f, 0.999430604555461730f,
  -0.035274238898213822f, 0.999377670388002850f, -0.036807222941358866f,
    0.999322384588349540f, -0.038340120373552666f, 0.999264747286594420f,
  -0.039872927587739727f, 0.999204758618363890f, -0.041405640977076594f,
    0.999142418724816910f, -0.042938256934940834f, 0.999077727752645360f,
  -0.044470771854938619f, 0.999010685854073380f, -0.046003182130914519f,
    0.998941293186856870f, -0.047535484156959136f, 0.998869549914283560f,
  -0.049067674327418008f, 0.998795456205172410f, -0.050599749036899212f,
    0.998719012233872940f, -0.052131704680283192f, 0.998640218180265270f,
  -0.053663537652730554f, 0.998559074229759310f, -0.055195244349689913f,
    0.998475580573294770f, -0.056726821166907658f, 0.998389737407340160f,
  -0.058258264500435607f, 0.998301544933892890f, -0.059789570746639882f,
    0.998211003360478190f, -0.061320736302208530f, 0.998118112900149180f,
  -0.062851757564161309f, 0.998022873771486240f, -0.064382630929857285f,
    0.997925286198596000f, -0.065913352797003805f, 0.997825350411111640f,
  -0.067443919563663982f, 0.997723066644191640f, -0.068974327628266607f,
    0.997618435138519550f, -0.070504573389613898f, 0.997511456140303450f,
  -0.072034653246889291f, 0.997402129901275300f, -0.073564563599667329f,
    0.997290456678690210f, -0.075094300847921167f, 0.997176436735326190f,
  -0.076623861392031506f, 0.997060070339482960f, -0.078153241632794190f,
    0.996941357764982160f, -0.079682437971430015f, 0.996820299291165780f,
  -0.081211446809592261f, 0.996696895202896060f, -0.082740264549375678f,
    0.996571145790554840f, -0.084268887593324002f, 0.996443051350042630f,
  -0.085797312344439755f, 0.996312612182778000f, -0.087325535206192101f,
    0.996179828595696870f, -0.088853552582524559f, 0.996044700901251970f,
  -0.090381360877864886f, 0.995907229417411720f, -0.091908956497132571f,
    0.995767414467659820f, -0.093436335845747787f, 0.995625256380994310f,
  -0.094963495329638950f, 0.995480755491926940f, -0.096490431355252482f,
    0.995333912140482280f, -0.098017140329560645f, 0.995184726672196930f,
  -0.099543618660069319f, 0.995033199438118630f, -0.101069862754827750f,
    0.994879330794805620f, -0.102595869022436160f, 0.994723121104325700f,
  -0.104121633872054600f, 0.994564570734255420f, -0.105647153713410570f,
    0.994403680057679100f, -0.107172424956808760f, 0.994240449453187900f,
  -0.108697444013138560f, 0.994074879304879480f, -0.110222207293883060f,
    0.993906970002356060f, -0.111746711211126550f, 0.993736721940724600f,
  -0.113270952177564240f, 0.993564135520595300f, -0.114794926606510130f,
    0.993389211148080650f, -0.116318630911904750f, 0.993211949234794500f,
  -0.117842061508324890f, 0.993032350197851410f, -0.119365214810991230f,
    0.992850414459865100f, -0.120888087235777100f, 0.992666142448948020f,
  -0.122410675199216150f, 0.992479534598709970f, -0.123932975118512080f,
    0.992290591348257370f, -0.125454983411546070f, 0.992099313142191800f,
  -0.126976696496885870f, 0.991905700430609330f, -0.128498110793793110f,
    0.991709753669099530f, -0.130019222722233240f, 0.991511473318744010f,
  -0.131540028702883140f, 0.991310859846115440f, -0.133060525157139040f,
    0.991107913723276890f, -0.134580708507126110f, 0.990902635427780010f,
  -0.136100575175706060f, 0.990695025442664630f, -0.137620121586486070f,
    0.990485084256456980f, -0.139139344163826170f, 0.990272812363169110f,
  -0.140658239332849130f, 0.990058210262297120f, -0.142176803519447890f,
    0.989841278458820530f, -0.143695033150294440f, 0.989622017463200890f,
  -0.145212924652847410f, 0.989400427791380380f, -0.146730474455361640f,
    0.989176509964781010f, -0.148247678986896090f, 0.988950264510302990f,
  -0.149764534677321510f, 0.988721691960323780f, -0.151281037957330140f,
    0.988490792852696700f, -0.152797185258443300f, 0.988257567730749460f,
  -0.154312973013020130f, 0.988022017143283530f, -0.155828397654265200f,
    0.987784141644572180f, -0.157343455616238160f, 0.987543941794359340f,
  -0.158858143333861280f, 0.987301418157858430f, -0.160372457242928260f,
    0.987056571305750970f, -0.161886393780111770f, 0.986809401814185530f,
  -0.163399949382973110f, 0.986559910264775520f, -0.164913120489969950f,
    0.986308097244598670f, -0.166425903540464100f, 0.986053963346195440f,
  -0.167938294974731090f, 0.985797509167567480f, -0.169450291233967820f,
    0.985538735312176060f, -0.170961888760301240f, 0.985277642388941220f,
  -0.172473083996795920f, 0.985014231012239840f, -0.173983873387463710f,
    0.984748501801904210f, -0.175494253377271260f, 0.984480455383220930f,
  -0.177004220412148750f, 0.984210092386929030f, -0.178513770938997450f,
    0.983937413449218920f, -0.180022901405699400f, 0.983662419211730250f,
  -0.181531608261125020f, 0.983385110321551180f, -0.183039887955140920f,
    0.983105487431216290f, -0.184547736938619530f, 0.982823551198705350f,
  -0.186055151663446490f, 0.982539302287441240f, -0.187562128582529600f,
    0.982252741366289370f, -0.189068664149806160f, 0.981963869109555240f,
  -0.190574754820252660f, 0.981672686196983110f, -0.192080397049892270f,
    0.981379193313754560f, -0.193585587295803610f, 0.981083391150486710f,
  -0.195090322016128190f, 0.980785280403230430f, -0.196594597670080110f,
    0.980484861773469380f, -0.198098410717953620f, 0.980182135968117430f,
  -0.199601757621130940f, 0.979877103699517640f, -0.201104634842091820f,
    0.979569765685440520f, -0.202607038844420970f, 0.979260122649082130f,
  -0.204108966092816900f, 0.978948175319062200f, -0.205610413053099210f,
    0.978633924429423210f, -0.207111376192218450f, 0.978317370719627650f,
  -0.208611851978263320f, 0.977998514934557140f, -0.210111836880469610f,
    0.977677357824509930f, -0.211611327369227500f, 0.977353900145200070f,
  -0.213110319916091250f, 0.977028142657754390f, -0.214608810993786810f,
    0.976700086128711840f, -0.216106797076219490f, 0.976369731330021140f,
  -0.217604274638483560f, 0.976037079039039130f, -0.219101240156869660f,
    0.975702130038528570f, -0.220597690108873530f, 0.975364885116656980f,
  -0.222093620973203480f, 0.975025345066994120f, -0.223589029229789880f,
    0.974683510688510670f, -0.225083911359792670f, 0.974339382785575860f,
  -0.226578263845610000f, 0.973992962167955830f, -0.228072083170885680f,
    0.973644249650811980f, -0.229565365820518760f, 0.973293246054698250f,
  -0.231058108280671140f, 0.972939952205560180f, -0.232550307038775220f,
    0.972584368934732210f, -0.234041958583543320f, 0.972226497078936380f,
  -0.235533059404975350f, 0.971866337480279400f, -0.237023605994367230f,
    0.971503890986251780f, -0.238513594844318390f, 0.971139158449725090f,
  -0.240003022448741390f, 0.970772140728950350f, -0.241491885302869160f,
    0.970402838687555500f, -0.242980179903263870f, 0.970031253194543970f,
  -0.244467902747824100f, 0.969657385124292450f, -0.245955050335794480f,
    0.969281235356548530f, -0.247441619167773320f, 0.968902804776428870f,
  -0.248927605745720120f, 0.968522094274417380f, -0.250413006572965170f,
    0.968139104746362440f, -0.251897818154216800f, 0.967753837093475510f,
  -0.253382036995570160f, 0.967366292222328510f, -0.254865659604514520f,
    0.966976471044852070f, -0.256348682489942800f, 0.966584374478333120f,
  -0.257831102162158820f, 0.966190003445412620f, -0.259312915132886230f,
    0.965793358874083680f, -0.260794117915275460f, 0.965394441697689400f,
  -0.262274707023913480f, 0.964993252854920440f, -0.263754678974831400f,
    0.964589793289812760f, -0.265234030285511790f, 0.964184063951745830f,
  -0.266712757474898310f, 0.963776065795439840f, -0.268190857063403010f,
    0.963365799780954050f, -0.269668325572915090f, 0.962953266873683880f,
  -0.271145159526807960f, 0.962538468044359160f, -0.272621355449948870f,
    0.962121404269041580f, -0.274096909868706220f, 0.961702076529122540f,
  -0.275571819310958140f, 0.961280485811320640f, -0.277046080306099840f,
    0.960856633107679660f, -0.278519689385052950f, 0.960430519415565900f,
  -0.279992643080273270f, 0.960002145737665850f, -0.281464937925757940f,
    0.959571513081984520f, -0.282936570457055280f, 0.959138622461842010f,
  -0.284407537211271710f, 0.958703474895871600f, -0.285877834727080620f,
    0.958266071408017670f, -0.287347459544729460f, 0.957826413027532910f,
  -0.288816408206049370f, 0.957384500788975970f, -0.290284677254462160f,
    0.956940335732208940f, -0.291752263234989260f, 0.956493918902395100f,
  -0.293219162694258570f, 0.956045251349996520f, -0.294685372180514220f,
    0.955594334130771110f, -0.296150888243623840f, 0.955141168305770670f,
  -0.297615707435086200f, 0.954685754941338340f, -0.299079826308040360f,
    0.954228095109105670f, -0.300543241417273290f, 0.953768189885990330f,
  -0.302005949319228080f, 0.953306040354193860f, -0.303467946572011260f,
    0.952841647601198720f, -0.304929229735402260f, 0.952375012719765880f,
  -0.306389795370860970f, 0.951906136807932350f, -0.307849640041534870f,
    0.951435020969008340f, -0.309308760312268620f, 0.950961666311575080f,
  -0.310767152749611360f, 0.950486073949481810f, -0.312224813921824940f,
    0.950008245001843000f, -0.313681740398891410f, 0.949528180593036670f,
  -0.315137928752522330f, 0.949045881852700670f, -0.316593375556165730f,
    0.948561349915730380f, -0.318048077385014950f, 0.948074585922276230f,
  -0.319502030816015640f, 0.947585591017741200f, -0.320955232427875100f,
    0.947094366352777220f, -0.322407678801069850f, 0.946600913083283530f,
  -0.323859366517852850f, 0.946105232370403450f, -0.325310292162262870f,
    0.945607325380521390f, -0.326760452320131620f, 0.945107193285260610f,
  -0.328209843579092550f, 0.944604837261480260f, -0.329658462528587440f,
    0.944100258491272660f, -0.331106305759876320f, 0.943593458161960390f,
  -0.332553369866044060f, 0.943084437466093490f, -0.333999651442009380f,
    0.942573197601446870f, -0.335445147084531550f, 0.942059739771017420f,
  -0.336889853392219940f, 0.941544065183020810f, -0.338333766965541180f,
    0.941026175050889260f, -0.339776884406826850f, 0.940506070593268300f,
  -0.341219202320282300f, 0.939983753034014050f, -0.342660717311994270f,
    0.939459223602189920f, -0.344101425989938870f, 0.938932483532064490f,
  -0.345541324963989040f, 0.938403534063108170f, -0.346980410845923570f,
    0.937872376439989890f, -0.348418680249434400f, 0.937339011912574960f,
  -0.349856129790134920f, 0.936803441735921560f, -0.351292756085567040f,
    0.936265667170278260f, -0.352728555755210620f, 0.935725689481080370f,
  -0.354163525420490400f, 0.935183509938947610f, -0.355597661704783850f,
    0.934639129819680780f, -0.357030961233429920f, 0.934092550404258980f,
  -0.358463420633736430f, 0.933543772978836280f, -0.359895036534988170f,
    0.932992798834738850f, -0.361325805568454230f, 0.932439629268462360f,
  -0.362755724367397110f, 0.931884265581668150f, -0.364184789567079730f,
    0.931326709081180540f, -0.365612997804773850f, 0.930766961078983710f,
  -0.367040345719767120f, 0.930205022892219070f, -0.368466829953372210f,
    0.929640895843181330f, -0.369892447148934160f, 0.929074581259315750f,
  -0.371317193951837490f, 0.928506080473215590f, -0.372741067009515700f,
    0.927935394822617890f, -0.374164062971457880f, 0.927362525650401110f,
  -0.375586178489217220f, 0.926787474304581750f, -0.377007410216418200f,
    0.926210242138311380f, -0.378427754808765450f, 0.925630830509872830f,
  -0.379847208924050990f, 0.925049240782677700f, -0.381265769222162380f,
    0.924465474325262600f, -0.382683432365089730f, 0.923879532511286740f,
  -0.384100195016934930f, 0.923291416719527750f, -0.385516053843918900f,
    0.922701128333878520f, -0.386931005514388580f, 0.922108668743345180f,
  -0.388345046698826190f, 0.921514039342042010f, -0.389758174069856300f,
    0.920917241529189520f, -0.391170384302253870f, 0.920318276709110590f,
  -0.392581674072951410f, 0.919717146291227360f, -0.393992040061047990f,
    0.919113851690057770f, -0.395401478947816190f, 0.918508394325212250f,
  -0.396809987416710310f, 0.917900775621390500f, -0.398217562153373510f,
    0.917290997008378020f, -0.399624199845646680f, 0.916679059921042700f,
  -0.401029897183575680f, 0.916064965799331720f, -0.402434650859418430f,
    0.915448716088267830f, -0.403838457567654020f, 0.914830312237946200f,
  -0.405241314004989750f, 0.914209755703530690f, -0.406643216870369030f,
    0.913587047945250810f, -0.408044162864978630f, 0.912962190428398210f,
  -0.409444148692257480f, 0.912335184623322860f, -0.410843171057903800f,
    0.911706032005429880f, -0.412241226669882890f, 0.911074734055176360f,
  -0.413638312238434450f, 0.910441292258067250f, -0.415034424476081520f,
    0.909805708104652330f, -0.416429560097636990f, 0.909167983090522490f,
  -0.417823715820212270f, 0.908528118716306120f, -0.419216888363224070f,
    0.907886116487666150f, -0.420609074448402400f, 0.907241977915295930f,
  -0.422000270799799680f, 0.906595704514915330f, -0.423390474143795770f,
    0.905947297807268570f, -0.424779681209108690f, 0.905296759318118820f,
  -0.426167888726799670f, 0.904644090578246130f, -0.427555093430281860f,
    0.903989293123443450f, -0.428941292055329440f, 0.903332368494511820f,
  -0.430326481340082720f, 0.902673318237258830f, -0.431710658025057090f,
    0.902012143902493290f, -0.433093818853151900f, 0.901348847046022030f,
  -0.434475960569655820f, 0.900683429228646860f, -0.435857079922255360f,
    0.900015892016160280f, -0.437237173661044090f, 0.899346236979341570f,
  -0.438616238538527380f, 0.898674465693953930f, -0.439994271309633140f,
    0.898000579740739880f, -0.441371268731716730f, 0.897324580705418320f,
  -0.442747227564569800f, 0.896646470178680270f, -0.444122144570429140f,
    0.895966249756185220f, -0.445496016513981800f, 0.895283921038557470f,
  -0.446868840162373990f, 0.894599485631382810f, -0.448240612285219890f,
    0.893912945145203250f, -0.449611329654606710f, 0.893224301195515210f,
  -0.450980989045103700f, 0.892533555402764690f, -0.452349587233770890f,
    0.891840709392342720f, -0.453717121000163590f, 0.891145764794583410f,
  -0.455083587126343720f, 0.890448723244757990f, -0.456448982396883970f,
    0.889749586383072780f, -0.457813303598877010f, 0.889048355854664680f,
  -0.459176547521944030f, 0.888345033309596350f, -0.460538710958240060f,
    0.887639620402853930f, -0.461899790702462560f, 0.886932118794342310f,
  -0.463259783551860150f, 0.886222530148880640f, -0.464618686306237930f,
    0.885510856136199840f, -0.465976495767966010f, 0.884797098430937900f,
  -0.467333208741988420f, 0.884081258712634990f, -0.468688822035827680f,
    0.883363338665731690f, -0.470043332459595510f, 0.882643339979562900f,
  -0.471396736825997700f, 0.881921264348355050f, -0.472749031950342570f,
    0.881197113471222200f, -0.474100214650549910f, 0.880470889052160870f,
  -0.475450281747155980f, 0.879742592800047410f, -0.476799230063321920f,
    0.879012226428633530f, -0.478147056424843010f, 0.878279791656541580f,
  -0.479493757660153120f, 0.877545290207261240f, -0.480839330600333790f,
    0.876808723809145760f, -0.482183772079122720f, 0.876070094195406600f,
  -0.483527078932918460f, 0.875329403104111000f, -0.484869248000791010f,
    0.874586652278176220f, -0.486210276124486420f, 0.873841843465366860f,
  -0.487550160148435720f, 0.873094978418290200f, -0.488888896919763120f,
    0.872346058894391540f, -0.490226483288291210f, 0.871595086655950980f,
  -0.491562916106549790f, 0.870842063470078980f, -0.492898192229783980f,
    0.870086991108711460f, -0.494232308515959840f, 0.869329871348606730f,
  -0.495565261825772370f, 0.868570705971341010f, -0.496897049022654520f,
    0.867809496763303210f, -0.498227666972781590f, 0.867046245515692760f,
  -0.499557112545081780f, 0.866280954024513110f, -0.500885382611240830f,
    0.865513624090569090f, -0.502212474045710570f, 0.864744257519462490f,
  -0.503538383725717460f, 0.863972856121586810f, -0.504863108531267590f,
    0.863199421712124160f, -0.506186645345155120f, 0.862423956111040610f,
  -0.507508991052970760f, 0.861646461143081300f, -0.508830142543107100f,
    0.860866938637767200f, -0.510150096706766590f, 0.860085390429390250f,
  -0.511468850437970410f, 0.859301818357008360f, -0.512786400633562730f,
    0.858516224264442960f, -0.514102744193221660f, 0.857728610000272120f,
  -0.515417878019463040f, 0.856938977417828760f, -0.516731799017649650f,
    0.856147328375194580f, -0.518044504095999230f, 0.855353664735196030f,
  -0.519355990165589640f, 0.854557988365400530f, -0.520666254140366940f,
    0.853760301138111520f, -0.521975292937154280f, 0.852960604930363740f,
  -0.523283103475656540f, 0.852158901623919720f, -0.524589682678468730f,
    0.851355193105265200f, -0.525895027471084630f, 0.850549481265603480f,
  -0.527199134781901060f, 0.849741768000852660f, -0.528502001542228370f,
    0.848932055211639720f, -0.529803624686294720f, 0.848120344803297230f,
  -0.531104001151254780f, 0.847306638685858540f, -0.532403127877197900f,
    0.846490938774052130f, -0.533701001807152960f, 0.845673246987299070f,
  -0.534997619887097040f, 0.844853565249707230f, -0.536292979065963070f,
    0.844031895490066410f, -0.537587076295645620f, 0.843208239641845440f,
  -0.538879908531008310f, 0.842382599643185960f, -0.540171472729892850f,
    0.841554977436898440f, -0.541461765853123220f, 0.840725374970458180f,
  -0.542750784864515780f, 0.839893794195999630f, -0.544038526730883930f,
    0.839060237070312630f, -0.545324988422046240f, 0.838224705554838190f,
  -0.546610166910834860f, 0.837387201615661940f, -0.547894059173100190f,
    0.836547727223512010f, -0.549176662187719540f, 0.835706284353752720f,
  -0.550457972936604700f, 0.834862874986380120f, -0.551737988404707450f,
    0.834017501106018020f, -0.553016705580027360f, 0.833170164701913300f,
  -0.554294121453620110f, 0.832320867767929680f, -0.555570233019601960f,
    0.831469612302545460f, -0.556845037275159990f, 0.830616400308846310f,
  -0.558118531220556100f, 0.829761233794523050f, -0.559390711859135800f,
    0.828904114771865100f, -0.560661576197335920f, 0.828045045257755800f,
  -0.561931121244689470f, 0.827184027273669130f, -0.563199344013833980f,
    0.826321062845663650f, -0.564466241520519390f, 0.825456154004377550f,
  -0.565731810783613230f, 0.824589302785025180f, -0.566996048825108460f,
    0.823720511227391540f, -0.568258952670131490f, 0.822849781375826320f,
  -0.569520519346947250f, 0.821977115279241440f, -0.570780745886967140f,
    0.821102514991104760f, -0.572039629324757050f, 0.820225982569434690f,
  -0.573297166698041980f, 0.819347520076797120f, -0.574553355047715760f,
    0.818467129580298770f, -0.575808191417845340f, 0.817584813151583710f,
  -0.577061672855679330f, 0.816700572866827960f, -0.578313796411655480f,
    0.815814410806733780f, -0.579564559139405850f, 0.814926329056526510f,
  -0.580813958095764420f, 0.814036329705948520f, -0.582061990340775550f,
    0.813144414849253590f, -0.583308652937698400f, 0.812250586585203880f,
  -0.584553942953015220f, 0.811354847017063840f, -0.585797857456438860f,
    0.810457198252594770f, -0.587040393520917750f, 0.809557642404051480f,
  -0.588281548222645220f, 0.808656181588175090f, -0.589521318641063940f,
    0.807752817926190360f, -0.590759701858874050f, 0.806847553543799450f,
  -0.591996694962040880f, 0.805940390571176390f, -0.593232295039799910f,
    0.805031331142963550f, -0.594466499184664320f, 0.804120377398265810f,
  -0.595699304492433360f, 0.803207531480644940f, -0.596930708062196610f,
    0.802292795538115610f, -0.598160706996342160f, 0.801376171723140350f,
  -0.599389298400564540f, 0.800457662192622820f, -0.600616479383868750f,
    0.799537269107905240f, -0.601842247058579920f, 0.798614994634760930f,
  -0.603066598540348280f, 0.797690840943391040f, -0.604289530948155850f,
    0.796764810208418940f, -0.605511041404325430f, 0.795836904608883570f,
  -0.606731127034524590f, 0.794907126328236900f, -0.607949784967773520f,
    0.793975477554337280f, -0.609167012336453210f, 0.793041960479443640f,
  -0.610382806276309590f, 0.792106577300212280f, -0.611597163926461800f,
    0.791169330217690310f, -0.612810082429409710f, 0.790230221437310030f,
  -0.614021558931038160f, 0.789289253168885870f, -0.615231590580626710f,
    0.788346427626606340f, -0.616440174530853650f, 0.787401747029031320f,
  -0.617647307937803760f, 0.786455213599085880f, -0.618852987960976210f,
    0.785506829564054040f, -0.620057211763289210f, 0.784556597155575130f,
  -0.621259976511087440f, 0.783604518609638310f, -0.622461279374149970f,
    0.782650596166575730f, -0.623661117525694640f, 0.781694832071059280f,
  -0.624859488142386230f, 0.780737228572094600f, -0.626056388404343520f,
    0.779777787923014440f, -0.627251815495143860f, 0.778816512381476090f,
  -0.628445766601832600f, 0.777853404209453150f, -0.629638238914927100f,
    0.776888465673232440f, -0.630829229628424360f, 0.775921699043407800f,
  -0.632018735939808950f, 0.774953106594873930f, -0.633206755050057300f,
    0.773982690606822790f, -0.634393284163645380f, 0.773010453362737100f,
  -0.635578320488556110f, 0.772036397150384520f, -0.636761861236284310f,
    0.771060524261813710f, -0.637943903621843940f, 0.770082836993348010f,
  -0.639124444863775730f, 0.769103337645579590f, -0.640303482184151450f,
    0.768122028523365530f, -0.641481012808583050f, 0.767138911935820510f,
  -0.642657033966226860f, 0.766153990196312920f, -0.643831542889791280f,
    0.765167265622459070f, -0.645004536815543930f, 0.764178740536116790f,
  -0.646176012983316390f, 0.763188417263381270f, -0.647345968636511950f,
    0.762196298134579010f, -0.648514401022112440f, 0.761202385484261890f,
  -0.649681307390683300f, 0.760206681651202310f, -0.650846684996380760f,
    0.759209188978388180f, -0.652010531096959500f, 0.758209909813015280f,
  -0.653172842953776530f, 0.757208846506484680f, -0.654333617831800440f,
    0.756206001414394540f, -0.655492852999615460f, 0.755201376896536550f,
  -0.656650545729428830f, 0.754194975316889280f, -0.657806693297078640f,
    0.753186799043612520f, -0.658961292982037430f, 0.752176850449042700f,
  -0.660114342067420370f, 0.751165131909686590f, -0.661265837839992150f,
    0.750151645806215070f, -0.662415777590171890f, 0.749136394523459260f,
  -0.663564158612039660f, 0.748119380450403710f, -0.664710978203344900f,
    0.747100605980180130f, -0.665856233665509500f, 0.746080073510064000f,
  -0.666999922303637360f, 0.745057785441466060f, -0.668142041426518560f,
    0.744033744179929290f, -0.669282588346635900f, 0.743007952135121830f,
  -0.670421560380173090f, 0.741980411720831070f, -0.671558954847018440f,
    0.740951125354958990f, -0.672694769070772750f, 0.739920095459516310f,
  -0.673829000378756040f, 0.738887324460615220f, -0.674961646102012150f,
    0.737852814788465870f, -0.676092703575315810f, 0.736816568877370020f,
  -0.677222170137180450f, 0.735778589165713480f, -0.678350043129861250f,
    0.734738878095963610f, -0.679476319899364970f, 0.733697438114660370f,
  -0.680600997795453020f, 0.732654271672412820f, -0.681724074171649600f,
    0.731609381223892740f, -0.682845546385247970f, 0.730562769227827590f,
  -0.683965411797315510f, 0.729514438146997010f, -0.685083667772700240f,
    0.728464390448225310f, -0.686200311680038590f, 0.727412628602375770f,
  -0.687315340891759160f, 0.726359155084345900f, -0.688428752784090330f,
    0.725303972373060880f, -0.689540544737066940f, 0.724247082951466890f,
  -0.690650714134534380f, 0.723188489306527570f, -0.691759258364157640f,
    0.722128193929215460f, -0.692866174817424740f, 0.721066199314508110f,
  -0.693971460889653780f, 0.720002507961381770f, -0.695075113980000770f,
    0.718937122372804490f, -0.696177131491462990f, 0.717870045055731710f,
  -0.697277510830886400f, 0.716801278521099650f, -0.698376249408972800f,
    0.715730825283818710f, -0.699473344640283880f, 0.714658687862768980f,
  -0.700568793943248220f, 0.713584868780793750f, -0.701662594740168450f,
    0.712509370564692320f, -0.702754744457225080f, 0.711432195745216660f,
  -0.703845240524484830f, 0.710353346857062420f, -0.704934080375904880f,
    0.709272826438865580f, -0.706021261449339630f, 0.708190637033195510f,
  -0.707106781186547460f, 0.707106781186547570f, -0.708190637033195400f,
    0.706021261449339740f, -0.709272826438865470f, 0.704934080375905100f,
  -0.710353346857062310f, 0.703845240524485050f, -0.711432195745216540f,
    0.702754744457225190f, -0.712509370564692210f, 0.701662594740168680f,
  -0.713584868780793640f, 0.700568793943248340f, -0.714658687862768870f,
    0.699473344640283990f, -0.715730825283818590f, 0.698376249408972920f,
  -0.716801278521099540f, 0.697277510830886520f, -0.717870045055731600f,
    0.696177131491463100f, -0.718937122372804380f, 0.695075113980000990f,
  -0.720002507961381650f, 0.693971460889654000f, -0.721066199314507990f,
    0.692866174817424850f, -0.722128193929215230f, 0.691759258364157860f,
  -0.723188489306527460f, 0.690650714134534600f, -0.724247082951466780f,
    0.689540544737067050f, -0.725303972373060770f, 0.688428752784090440f,
  -0.726359155084345790f, 0.687315340891759270f, -0.727412628602375650f,
    0.686200311680038700f, -0.728464390448225200f, 0.685083667772700360f,
  -0.729514438146996790f, 0.683965411797315630f, -0.730562769227827480f,
    0.682845546385248190f, -0.731609381223892630f, 0.681724074171649710f,
  -0.732654271672412700f, 0.680600997795453240f, -0.733697438114660260f,
    0.679476319899365080f, -0.734738878095963500f, 0.678350043129861360f,
  -0.735778589165713370f, 0.677222170137180560f, -0.736816568877369900f,
    0.676092703575315920f, -0.737852814788465760f, 0.674961646102012260f,
  -0.738887324460615000f, 0.673829000378756150f, -0.739920095459516200f,
    0.672694769070772860f, -0.740951125354958880f, 0.671558954847018550f,
  -0.741980411720830960f, 0.670421560380173200f, -0.743007952135121720f,
    0.669282588346636010f, -0.744033744179929070f, 0.668142041426518670f,
  -0.745057785441465950f, 0.666999922303637580f, -0.746080073510063890f,
    0.665856233665509610f, -0.747100605980180020f, 0.664710978203345020f,
  -0.748119380450403600f, 0.663564158612039770f, -0.749136394523459150f,
    0.662415777590172010f, -0.750151645806214960f, 0.661265837839992380f,
  -0.751165131909686480f, 0.660114342067420480f, -0.752176850449042480f,
    0.658961292982037540f, -0.753186799043612410f, 0.657806693297078750f,
  -0.754194975316889170f, 0.656650545729429050f, -0.755201376896536440f,
    0.655492852999615570f, -0.756206001414394420f, 0.654333617831800550f,
  -0.757208846506484570f, 0.653172842953776640f, -0.758209909813015170f,
    0.652010531096959720f, -0.759209188978388070f, 0.650846684996380990f,
  -0.760206681651202200f, 0.649681307390683420f, -0.761202385484261670f,
    0.648514401022112550f, -0.762196298134578900f, 0.647345968636512060f,
  -0.763188417263381050f, 0.646176012983316620f, -0.764178740536116670f,
    0.645004536815544040f, -0.765167265622458960f, 0.643831542889791390f,
  -0.766153990196312700f, 0.642657033966227090f, -0.767138911935820290f,
    0.641481012808583160f, -0.768122028523365420f, 0.640303482184151560f,
  -0.769103337645579480f, 0.639124444863775840f, -0.770082836993347900f,
    0.637943903621844060f, -0.771060524261813600f, 0.636761861236284420f,
  -0.772036397150384410f, 0.635578320488556230f, -0.773010453362736990f,
    0.634393284163645490f, -0.773982690606822680f, 0.633206755050057410f,
  -0.774953106594873820f, 0.632018735939809060f, -0.775921699043407690f,
    0.630829229628424470f, -0.776888465673232330f, 0.629638238914927210f,
  -0.777853404209453040f, 0.628445766601832710f, -0.778816512381475980f,
    0.627251815495144080f, -0.779777787923014330f, 0.626056388404343630f,
  -0.780737228572094490f, 0.624859488142386340f, -0.781694832071059160f,
    0.623661117525694860f, -0.782650596166575620f, 0.622461279374150080f,
  -0.783604518609638200f, 0.621259976511087550f, -0.784556597155575020f,
    0.620057211763289430f, -0.785506829564053930f, 0.618852987960976430f,
  -0.786455213599085770f, 0.617647307937803870f, -0.787401747029031210f,
    0.616440174530853760f, -0.788346427626606230f, 0.615231590580626930f,
  -0.789289253168885760f, 0.614021558931038380f, -0.790230221437309920f,
    0.612810082429409820f, -0.791169330217690200f, 0.611597163926461910f,
  -0.792106577300212170f, 0.610382806276309700f, -0.793041960479443530f,
    0.609167012336453320f, -0.793975477554337170f, 0.607949784967773630f,
  -0.794907126328236790f, 0.606731127034524700f, -0.795836904608883460f,
    0.605511041404325660f, -0.796764810208418830f, 0.604289530948155960f,
  -0.797690840943390930f, 0.603066598540348390f, -0.798614994634760820f,
    0.601842247058580140f, -0.799537269107905120f, 0.600616479383868860f,
  -0.800457662192622710f, 0.599389298400564650f, -0.801376171723140240f,
    0.598160706996342380f, -0.802292795538115500f, 0.596930708062196720f,
  -0.803207531480644830f, 0.595699304492433470f, -0.804120377398265700f,
    0.594466499184664430f, -0.805031331142963440f, 0.593232295039800020f,
  -0.805940390571176280f, 0.591996694962040990f, -0.806847553543799330f,
    0.590759701858874160f, -0.807752817926190250f, 0.589521318641064050f,
  -0.808656181588174980f, 0.588281548222645330f, -0.809557642404051370f,
    0.587040393520917970f, -0.810457198252594660f, 0.585797857456438980f,
  -0.811354847017063730f, 0.584553942953015330f, -0.812250586585203770f,
    0.583308652937698510f, -0.813144414849253480f, 0.582061990340775660f,
  -0.814036329705948410f, 0.580813958095764530f, -0.814926329056526400f,
    0.579564559139405970f, -0.815814410806733670f, 0.578313796411655700f,
  -0.816700572866827850f, 0.577061672855679440f, -0.817584813151583600f,
    0.575808191417845450f, -0.818467129580298660f, 0.574553355047715870f,
  -0.819347520076797010f, 0.573297166698042090f, -0.820225982569434580f,
    0.572039629324757270f, -0.821102514991104650f, 0.570780745886967260f,
  -0.821977115279241330f, 0.569520519346947470f, -0.822849781375826210f,
    0.568258952670131710f, -0.823720511227391430f, 0.566996048825108680f,
  -0.824589302785025070f, 0.565731810783613450f, -0.825456154004377440f,
    0.564466241520519500f, -0.826321062845663530f, 0.563199344013834090f,
  -0.827184027273669020f, 0.561931121244689580f, -0.828045045257755690f,
    0.560661576197336140f, -0.828904114771864990f, 0.559390711859136030f,
  -0.829761233794522930f, 0.558118531220556320f, -0.830616400308846310f,
    0.556845037275160100f, -0.831469612302545350f, 0.555570233019602180f,
  -0.832320867767929570f, 0.554294121453620230f, -0.833170164701913190f,
    0.553016705580027580f, -0.834017501106018020f, 0.551737988404707670f,
  -0.834862874986380010f, 0.550457972936604920f, -0.835706284353752600f,
    0.549176662187719660f, -0.836547727223511890f, 0.547894059173100410f,
  -0.837387201615661820f, 0.546610166910834970f, -0.838224705554838080f,
    0.545324988422046350f, -0.839060237070312630f, 0.544038526730884040f,
  -0.839893794195999520f, 0.542750784864515890f, -0.840725374970458070f,
    0.541461765853123330f, -0.841554977436898330f, 0.540171472729892970f,
  -0.842382599643185850f, 0.538879908531008420f, -0.843208239641845330f,
    0.537587076295645730f, -0.844031895490066410f, 0.536292979065963290f,
  -0.844853565249707120f, 0.534997619887097150f, -0.845673246987298950f,
    0.533701001807153190f, -0.846490938774052020f, 0.532403127877198010f,
  -0.847306638685858430f, 0.531104001151254890f, -0.848120344803297120f,
    0.529803624686294830f, -0.848932055211639610f, 0.528502001542228480f,
  -0.849741768000852550f, 0.527199134781901280f, -0.850549481265603370f,
    0.525895027471084850f, -0.851355193105265200f, 0.524589682678468950f,
  -0.852158901623919610f, 0.523283103475656650f, -0.852960604930363630f,
    0.521975292937154500f, -0.853760301138111410f, 0.520666254140367160f,
  -0.854557988365400420f, 0.519355990165589750f, -0.855353664735195920f,
    0.518044504095999450f, -0.856147328375194470f, 0.516731799017649760f,
  -0.856938977417828650f, 0.515417878019463150f, -0.857728610000272010f,
    0.514102744193221770f, -0.858516224264442850f, 0.512786400633562960f,
  -0.859301818357008360f, 0.511468850437970520f, -0.860085390429390140f,
    0.510150096706766810f, -0.860866938637767090f, 0.508830142543107320f,
  -0.861646461143081300f, 0.507508991052970980f, -0.862423956111040500f,
    0.506186645345155230f, -0.863199421712124050f, 0.504863108531267700f,
  -0.863972856121586700f, 0.503538383725717690f, -0.864744257519462380f,
    0.502212474045710680f, -0.865513624090568980f, 0.500885382611240940f,
  -0.866280954024512990f, 0.499557112545081950f, -0.867046245515692760f,
    0.498227666972781760f, -0.867809496763303210f, 0.496897049022654690f,
  -0.868570705971340900f, 0.495565261825772540f, -0.869329871348606620f,
    0.494232308515960010f, -0.870086991108711350f, 0.492898192229784150f,
  -0.870842063470078980f, 0.491562916106549900f, -0.871595086655950870f,
    0.490226483288291380f, -0.872346058894391430f, 0.488888896919763280f,
  -0.873094978418290090f, 0.487550160148435880f, -0.873841843465366750f,
    0.486210276124486580f, -0.874586652278176110f, 0.484869248000791120f,
  -0.875329403104110890f, 0.483527078932918630f, -0.876070094195406490f,
    0.482183772079122890f, -0.876808723809145650f, 0.480839330600333960f,
  -0.877545290207261130f, 0.479493757660153290f, -0.878279791656541460f,
    0.478147056424843180f, -0.879012226428633530f, 0.476799230063322090f,
  -0.879742592800047300f, 0.475450281747156090f, -0.880470889052160750f,
    0.474100214650550080f, -0.881197113471222090f, 0.472749031950342740f,
  -0.881921264348354940f, 0.471396736825997860f, -0.882643339979562790f,
    0.470043332459595680f, -0.883363338665731690f, 0.468688822035827850f,
  -0.884081258712634880f, 0.467333208741988580f, -0.884797098430937790f,
    0.465976495767966180f, -0.885510856136199840f, 0.464618686306238090f,
  -0.886222530148880530f, 0.463259783551860320f, -0.886932118794342190f,
    0.461899790702462730f, -0.887639620402853820f, 0.460538710958240230f,
  -0.888345033309596240f, 0.459176547521944200f, -0.889048355854664570f,
    0.457813303598877170f, -0.889749586383072670f, 0.456448982396884140f,
  -0.890448723244757880f, 0.455083587126343890f, -0.891145764794583290f,
    0.453717121000163760f, -0.891840709392342610f, 0.452349587233771060f,
  -0.892533555402764580f, 0.450980989045103860f, -0.893224301195515210f,
    0.449611329654606870f, -0.893912945145203140f, 0.448240612285220050f,
  -0.894599485631382700f, 0.446868840162374160f, -0.895283921038557360f,
    0.445496016513981960f, -0.895966249756185110f, 0.444122144570429310f,
  -0.896646470178680270f, 0.442747227564569970f, -0.897324580705418210f,
    0.441371268731716890f, -0.898000579740739770f, 0.439994271309633310f,
  -0.898674465693953930f, 0.438616238538527550f, -0.899346236979341460f,
    0.437237173661044250f, -0.900015892016160170f, 0.435857079922255530f,
  -0.900683429228646750f, 0.434475960569655980f, -0.901348847046021920f,
    0.433093818853152070f, -0.902012143902493180f, 0.431710658025057260f,
  -0.902673318237258710f, 0.430326481340082890f, -0.903332368494511820f,
    0.428941292055329600f, -0.903989293123443340f, 0.427555093430282030f,
  -0.904644090578246130f, 0.426167888726799840f, -0.905296759318118700f,
    0.424779681209108860f, -0.905947297807268460f, 0.423390474143795940f,
  -0.906595704514915330f, 0.422000270799799850f, -0.907241977915295820f,
    0.420609074448402560f, -0.907886116487666040f, 0.419216888363224240f,
  -0.908528118716306120f, 0.417823715820212440f, -0.909167983090522380f,
    0.416429560097637150f, -0.909805708104652110f, 0.415034424476081850f,
  -0.910441292258067140f, 0.413638312238434610f, -0.911074734055176360f,
    0.412241226669882830f, -0.911706032005429770f, 0.410843171057904130f,
  -0.912335184623322750f, 0.409444148692257650f, -0.912962190428398210f,
    0.408044162864978580f, -0.913587047945250700f, 0.406643216870369200f,
  -0.914209755703530690f, 0.405241314004989920f, -0.914830312237945980f,
    0.403838457567654410f, -0.915448716088267720f, 0.402434650859418600f,
  -0.916064965799331720f, 0.401029897183575620f, -0.916679059921042590f,
    0.399624199845647070f, -0.917290997008377910f, 0.398217562153373670f,
  -0.917900775621390500f, 0.396809987416710250f, -0.918508394325212140f,
    0.395401478947816520f, -0.919113851690057770f, 0.393992040061048150f,
  -0.919717146291227360f, 0.392581674072951410f, -0.920318276709110480f,
    0.391170384302254040f, -0.920917241529189410f, 0.389758174069856470f,
  -0.921514039342041790f, 0.388345046698826580f, -0.922108668743345070f,
    0.386931005514388750f, -0.922701128333878630f, 0.385516053843918850f,
  -0.923291416719527520f, 0.384100195016935320f, -0.923879532511286740f,
    0.382683432365089890f, -0.924465474325262600f, 0.381265769222162320f,
  -0.925049240782677470f, 0.379847208924051380f, -0.925630830509872720f,
    0.378427754808765670f, -0.926210242138311380f, 0.377007410216418150f,
  -0.926787474304581750f, 0.375586178489217380f, -0.927362525650401110f,
    0.374164062971458040f, -0.927935394822617780f, 0.372741067009516090f,
  -0.928506080473215480f, 0.371317193951837710f, -0.929074581259315750f,
    0.369892447148934100f, -0.929640895843181210f, 0.368466829953372600f,
  -0.930205022892219070f, 0.367040345719767290f, -0.930766961078983710f,
    0.365612997804773800f, -0.931326709081180320f, 0.364184789567080110f,
  -0.931884265581668040f, 0.362755724367397280f, -0.932439629268462470f,
    0.361325805568454170f, -0.932992798834738850f, 0.359895036534988330f,
  -0.933543772978836170f, 0.358463420633736600f, -0.934092550404258760f,
    0.357030961233430310f, -0.934639129819680670f, 0.355597661704784020f,
  -0.935183509938947610f, 0.354163525420490400f, -0.935725689481080260f,
    0.352728555755210950f, -0.936265667170278260f, 0.351292756085567200f,
  -0.936803441735921670f, 0.349856129790134860f, -0.937339011912574850f,
    0.348418680249434790f, -0.937872376439989770f, 0.346980410845923740f,
  -0.938403534063108170f, 0.345541324963988980f, -0.938932483532064490f,
    0.344101425989939040f, -0.939459223602189920f, 0.342660717311994430f,
  -0.939983753034013820f, 0.341219202320282690f, -0.940506070593268300f,
    0.339776884406827020f, -0.941026175050889260f, 0.338333766965541180f,
  -0.941544065183020700f, 0.336889853392220330f, -0.942059739771017310f,
    0.335445147084531710f, -0.942573197601446870f, 0.333999651442009380f,
  -0.943084437466093380f, 0.332553369866044450f, -0.943593458161960390f,
    0.331106305759876480f, -0.944100258491272660f, 0.329658462528587440f,
  -0.944604837261480150f, 0.328209843579092720f, -0.945107193285260610f,
    0.326760452320131840f, -0.945607325380521170f, 0.325310292162263260f,
  -0.946105232370403340f, 0.323859366517853020f, -0.946600913083283530f,
    0.322407678801069850f, -0.947094366352777110f, 0.320955232427875490f,
  -0.947585591017741090f, 0.319502030816015800f, -0.948074585922276230f,
    0.318048077385014890f, -0.948561349915730270f, 0.316593375556166070f,
  -0.949045881852700560f, 0.315137928752522500f, -0.949528180593036670f,
    0.313681740398891410f, -0.950008245001843000f, 0.312224813921825110f,
  -0.950486073949481700f, 0.310767152749611530f, -0.950961666311574970f,
    0.309308760312269000f, -0.951435020969008340f, 0.307849640041535030f,
  -0.951906136807932350f, 0.306389795370860920f, -0.952375012719765770f,
    0.304929229735402650f, -0.952841647601198600f, 0.303467946572011430f,
  -0.953306040354193860f, 0.302005949319228030f, -0.953768189885990210f,
    0.300543241417273680f, -0.954228095109105560f, 0.299079826308040530f,
  -0.954685754941338340f, 0.297615707435086140f, -0.955141168305770670f,
    0.296150888243624010f, -0.955594334130771110f, 0.294685372180514380f,
  -0.956045251349996290f, 0.293219162694258960f, -0.956493918902394990f,
    0.291752263234989430f, -0.956940335732208820f, 0.290284677254462390f,
  -0.957384500788975860f, 0.288816408206049760f, -0.957826413027532910f,
    0.287347459544729620f, -0.958266071408017670f, 0.285877834727080560f,
  -0.958703474895871490f, 0.284407537211272100f, -0.959138622461841890f,
    0.282936570457055450f, -0.959571513081984520f, 0.281464937925757890f,
  -0.960002145737665850f, 0.279992643080273440f, -0.960430519415565790f,
    0.278519689385053170f, -0.960856633107679550f, 0.277046080306100230f,
  -0.961280485811320640f, 0.275571819310958310f, -0.961702076529122540f,
    0.274096909868706380f, -0.962121404269041470f, 0.272621355449949250f,
  -0.962538468044359160f, 0.271145159526808120f, -0.962953266873683880f,
    0.269668325572915090f, -0.963365799780953940f, 0.268190857063403400f,
  -0.963776065795439840f, 0.266712757474898480f, -0.964184063951745830f,
    0.265234030285511730f, -0.964589793289812650f, 0.263754678974831570f,
  -0.964993252854920320f, 0.262274707023913700f, -0.965394441697689290f,
    0.260794117915275850f, -0.965793358874083570f, 0.259312915132886400f,
  -0.966190003445412500f, 0.257831102162158990f, -0.966584374478333010f,
    0.256348682489943190f, -0.966976471044852070f, 0.254865659604514680f,
  -0.967366292222328510f, 0.253382036995570100f, -0.967753837093475400f,
    0.251897818154217190f, -0.968139104746362330f, 0.250413006572965340f,
  -0.968522094274417380f, 0.248927605745720090f, -0.968902804776428870f,
    0.247441619167773490f, -0.969281235356548420f, 0.245955050335794650f,
  -0.969657385124292340f, 0.244467902747824480f, -0.970031253194543970f,
    0.242980179903264070f, -0.970402838687555500f, 0.241491885302869360f,
  -0.970772140728950240f, 0.240003022448741780f, -0.971139158449725090f,
    0.238513594844318550f, -0.971503890986251780f, 0.237023605994367170f,
  -0.971866337480279290f, 0.235533059404975740f, -0.972226497078936270f,
    0.234041958583543510f, -0.972584368934732210f, 0.232550307038775160f,
  -0.972939952205560070f, 0.231058108280671330f, -0.973293246054698250f,
    0.229565365820518920f, -0.973644249650811870f, 0.228072083170886060f,
  -0.973992962167955830f, 0.226578263845610170f, -0.974339382785575860f,
    0.225083911359792830f, -0.974683510688510670f, 0.223589029229790290f,
  -0.975025345066994120f, 0.222093620973203650f, -0.975364885116656980f,
    0.220597690108873510f, -0.975702130038528460f, 0.219101240156870050f,
  -0.976037079039039020f, 0.217604274638483720f, -0.976369731330021140f,
    0.216106797076219440f, -0.976700086128711730f, 0.214608810993786980f,
  -0.977028142657754390f, 0.213110319916091420f, -0.977353900145199960f,
    0.211611327369227890f, -0.977677357824509930f, 0.210111836880469800f,
  -0.977998514934557140f, 0.208611851978263510f, -0.978317370719627540f,
    0.207111376192218840f, -0.978633924429423100f, 0.205610413053099380f,
  -0.978948175319062200f, 0.204108966092816840f, -0.979260122649082020f,
    0.202607038844421380f, -0.979569765685440520f, 0.201104634842092010f,
  -0.979877103699517640f, 0.199601757621130920f, -0.980182135968117320f,
    0.198098410717953810f, -0.980484861773469380f, 0.196594597670080280f,
  -0.980785280403230430f, 0.195090322016128610f, -0.981083391150486590f,
    0.193585587295803800f, -0.981379193313754560f, 0.192080397049892470f,
  -0.981672686196983110f, 0.190574754820253070f, -0.981963869109555240f,
    0.189068664149806360f, -0.982252741366289370f, 0.187562128582529570f,
  -0.982539302287441240f, 0.186055151663446910f, -0.982823551198705240f,
    0.184547736938619700f, -0.983105487431216290f, 0.183039887955140900f,
  -0.983385110321551180f, 0.181531608261125220f, -0.983662419211730250f,
    0.180022901405699570f, -0.983937413449218920f, 0.178513770938997420f,
  -0.984210092386929030f, 0.177004220412148940f, -0.984480455383220930f,
    0.175494253377271450f, -0.984748501801904210f, 0.173983873387464130f,
  -0.985014231012239840f, 0.172473083996796120f, -0.985277642388941220f,
    0.170961888760301220f, -0.985538735312176060f, 0.169450291233968210f,
  -0.985797509167567370f, 0.167938294974731280f, -0.986053963346195440f,
    0.166425903540464050f, -0.986308097244598560f, 0.164913120489970140f,
  -0.986559910264775410f, 0.163399949382973280f, -0.986809401814185530f,
    0.161886393780111740f, -0.987056571305750970f, 0.160372457242928450f,
  -0.987301418157858430f, 0.158858143333861470f, -0.987543941794359230f,
    0.157343455616238550f, -0.987784141644572180f, 0.155828397654265370f,
  -0.988022017143283530f, 0.154312973013020080f, -0.988257567730749460f,
    0.152797185258443690f, -0.988490792852696590f, 0.151281037957330310f,
  -0.988721691960323780f, 0.149764534677321450f, -0.988950264510302990f,
    0.148247678986896250f, -0.989176509964781010f, 0.146730474455361800f,
  -0.989400427791380380f, 0.145212924652847350f, -0.989622017463200780f,
    0.143695033150294640f, -0.989841278458820530f, 0.142176803519448090f,
  -0.990058210262297010f, 0.140658239332849540f, -0.990272812363169110f,
    0.139139344163826340f, -0.990485084256457090f, 0.137620121586486040f,
  -0.990695025442664630f, 0.136100575175706480f, -0.990902635427780010f,
    0.134580708507126280f, -0.991107913723276890f, 0.133060525157139010f,
  -0.991310859846115440f, 0.131540028702883340f, -0.991511473318743900f,
    0.130019222722233430f, -0.991709753669099530f, 0.128498110793793090f,
  -0.991905700430609330f, 0.126976696496886060f, -0.992099313142191800f,
    0.125454983411546260f, -0.992290591348257260f, 0.123932975118512480f,
  -0.992479534598709970f, 0.122410675199216350f, -0.992666142448948020f,
    0.120888087235777060f, -0.992850414459865100f, 0.119365214810991630f,
  -0.993032350197851410f, 0.117842061508325090f, -0.993211949234794500f,
    0.116318630911904710f, -0.993389211148080650f, 0.114794926606510310f,
  -0.993564135520595300f, 0.113270952177564420f, -0.993736721940724600f,
    0.111746711211126500f, -0.993906970002356060f, 0.110222207293883240f,
  -0.994074879304879370f, 0.108697444013138740f, -0.994240449453187900f,
    0.107172424956809160f, -0.994403680057679100f, 0.105647153713410750f,
  -0.994564570734255420f, 0.104121633872054570f, -0.994723121104325700f,
    0.102595869022436560f, -0.994879330794805620f, 0.101069862754827930f,
  -0.995033199438118630f, 0.099543618660069277f, -0.995184726672196820f,
    0.098017140329560826f, -0.995333912140482280f, 0.096490431355252662f,
  -0.995480755491926940f, 0.094963495329638908f, -0.995625256380994310f,
    0.093436335845747967f, -0.995767414467659820f, 0.091908956497132752f,
  -0.995907229417411720f, 0.090381360877865288f, -0.996044700901251970f,
    0.088853552582524753f, -0.996179828595696980f, 0.087325535206192059f,
  -0.996312612182778000f, 0.085797312344440158f, -0.996443051350042630f,
    0.084268887593324182f, -0.996571145790554840f, 0.082740264549375636f,
  -0.996696895202896060f, 0.081211446809592663f, -0.996820299291165670f,
    0.079682437971430195f, -0.996941357764982160f, 0.078153241632794149f,
  -0.997060070339482960f, 0.076623861392031686f, -0.997176436735326080f,
    0.075094300847921347f, -0.997290456678690210f, 0.073564563599667732f,
  -0.997402129901275300f, 0.072034653246889471f, -0.997511456140303450f,
    0.070504573389613856f, -0.997618435138519550f, 0.068974327628267024f,
  -0.997723066644191640f, 0.067443919563664176f, -0.997825350411111640f,
    0.065913352797003763f, -0.997925286198596000f, 0.064382630929857701f,
  -0.998022873771486240f, 0.062851757564161490f, -0.998118112900149180f,
    0.061320736302208488f, -0.998211003360478190f, 0.059789570746640069f,
  -0.998301544933892890f, 0.058258264500435794f, -0.998389737407340160f,
    0.056726821166908067f, -0.998475580573294770f, 0.055195244349690094f,
  -0.998559074229759310f, 0.053663537652730520f, -0.998640218180265160f,
    0.052131704680283594f, -0.998719012233872940f, 0.050599749036899393f,
  -0.998795456205172410f, 0.049067674327417966f, -0.998869549914283560f,
    0.047535484156959538f, -0.998941293186856870f, 0.046003182130914706f,
  -0.999010685854073380f, 0.044470771854938584f, -0.999077727752645360f,
    0.042938256934941021f, -0.999142418724816910f, 0.041405640977076774f,
  -0.999204758618363890f, 0.039872927587740130f, -0.999264747286594420f,
    0.038340120373552854f, -0.999322384588349540f, 0.036807222941358832f,
  -0.999377670388002850f, 0.035274238898214232f, -0.999430604555461730f,
    0.033741171851377705f, -0.999481186966166950f, 0.032208025408304544f,
  -0.999529417501093140f, 0.030674803176636865f, -0.999575296046749220f,
    0.029141508764193802f, -0.999618822495178640f, 0.027608145778965660f,
  -0.999659996743959220f, 0.026074717829104099f, -0.999698818696204250f,
    0.024541228522912326f, -0.999735288260561680f, 0.023007681468839695f,
  -0.999769405351215280f, 0.021474080275469667f, -0.999801169887884260f,
    0.019940428551514438f, -0.999830581795823400f, 0.018406729905805101f,
  -0.999857641005823860f, 0.016872987947281835f, -0.999882347454212560f,
    0.015339206284988060f, -0.999904701082852790f, 0.013805388528060632f,
  -0.999924701839144500f, 0.012271538285720007f, -0.999942349676023910f,
    0.010737659167264411f, -0.999957644551963900f, 0.009203754782060021f,
  -0.999970586430974140f, 0.007669828739531138f, -0.999981175282601110f,
    0.006135884649154799f, -0.999989411081928400f, 0.004601926120448733f,
  -0.999995293809576190f, 0.003067956762965977f, -0.999998823451701880f,
    0.001533980186285049f, -1.000000000000000000f, 0.000000000000000122f,
  -0.999998823451701880f, -0.001533980186284804f, -0.999995293809576190f,
    -0.003067956762965732f, -0.999989411081928400f, -0.004601926120448488f,
  -0.999981175282601110f, -0.006135884649154554f, -0.999970586430974140f,
    -0.007669828739530893f, -0.999957644551963900f, -0.009203754782059776f,
  -0.999942349676023910f, -0.010737659167264166f, -0.999924701839144500f,
    -0.012271538285719762f, -0.999904701082852900f, -0.013805388528060387f,
  -0.999882347454212560f, -0.015339206284987816f, -0.999857641005823860f,
    -0.016872987947281589f, -0.999830581795823400f, -0.018406729905804858f,
  -0.999801169887884260f, -0.019940428551514192f, -0.999769405351215280f,
    -0.021474080275469421f, -0.999735288260561680f, -0.023007681468839448f,
  -0.999698818696204250f, -0.024541228522912080f, -0.999659996743959220f,
    -0.026074717829103856f, -0.999618822495178640f, -0.027608145778965414f,
  -0.999575296046749220f, -0.029141508764193556f, -0.999529417501093140f,
    -0.030674803176636619f, -0.999481186966166950f, -0.032208025408304294f,
  -0.999430604555461730f, -0.033741171851377455f, -0.999377670388002850f,
    -0.035274238898213982f, -0.999322384588349540f, -0.036807222941358582f,
  -0.999264747286594420f, -0.038340120373552611f, -0.999204758618363890f,
    -0.039872927587739887f, -0.999142418724816910f, -0.041405640977076531f,
  -0.999077727752645360f, -0.042938256934940779f, -0.999010685854073380f,
    -0.044470771854938335f, -0.998941293186856870f, -0.046003182130914456f,
  -0.998869549914283560f, -0.047535484156959296f, -0.998795456205172410f,
    -0.049067674327417724f, -0.998719012233872940f, -0.050599749036899150f,
  -0.998640218180265270f, -0.052131704680283351f, -0.998559074229759310f,
    -0.053663537652730277f, -0.998475580573294770f, -0.055195244349689851f,
  -0.998389737407340160f, -0.056726821166907818f, -0.998301544933892890f,
    -0.058258264500435551f, -0.998211003360478190f, -0.059789570746639827f,
  -0.998118112900149180f, -0.061320736302208245f, -0.998022873771486240f,
    -0.062851757564161240f, -0.997925286198596000f, -0.064382630929857451f,
  -0.997825350411111640f, -0.065913352797003527f, -0.997723066644191640f,
    -0.067443919563663926f, -0.997618435138519550f, -0.068974327628266774f,
  -0.997511456140303450f, -0.070504573389613606f, -0.997402129901275300f,
    -0.072034653246889235f, -0.997290456678690210f, -0.073564563599667496f,
  -0.997176436735326190f, -0.075094300847921097f, -0.997060070339482960f,
    -0.076623861392031437f, -0.996941357764982160f, -0.078153241632793899f,
  -0.996820299291165780f, -0.079682437971429945f, -0.996696895202896060f,
    -0.081211446809592427f, -0.996571145790554840f, -0.082740264549375400f,
  -0.996443051350042630f, -0.084268887593323932f, -0.996312612182778000f,
    -0.085797312344439922f, -0.996179828595696980f, -0.087325535206191809f,
  -0.996044700901251970f, -0.088853552582524503f, -0.995907229417411720f,
    -0.090381360877865052f, -0.995767414467659820f, -0.091908956497132516f,
  -0.995625256380994310f, -0.093436335845747731f, -0.995480755491926940f,
    -0.094963495329638659f, -0.995333912140482280f, -0.096490431355252412f,
  -0.995184726672196930f, -0.098017140329560590f, -0.995033199438118630f,
    -0.099543618660069041f, -0.994879330794805620f, -0.101069862754827680f,
  -0.994723121104325700f, -0.102595869022436310f, -0.994564570734255530f,
    -0.104121633872054320f, -0.994403680057679100f, -0.105647153713410520f,
  -0.994240449453187900f, -0.107172424956808910f, -0.994074879304879480f,
    -0.108697444013138490f, -0.993906970002356060f, -0.110222207293883000f,
  -0.993736721940724710f, -0.111746711211126250f, -0.993564135520595300f,
    -0.113270952177564170f, -0.993389211148080650f, -0.114794926606510070f,
  -0.993211949234794610f, -0.116318630911904470f, -0.993032350197851410f,
    -0.117842061508324840f, -0.992850414459865100f, -0.119365214810991380f,
  -0.992666142448948020f, -0.120888087235776820f, -0.992479534598709970f,
    -0.122410675199216100f, -0.992290591348257370f, -0.123932975118512230f,
  -0.992099313142191800f, -0.125454983411546010f, -0.991905700430609330f,
    -0.126976696496885810f, -0.991709753669099530f, -0.128498110793792840f,
  -0.991511473318744010f, -0.130019222722233180f, -0.991310859846115440f,
    -0.131540028702883090f, -0.991107913723276890f, -0.133060525157138760f,
  -0.990902635427780010f, -0.134580708507126060f, -0.990695025442664630f,
    -0.136100575175706230f, -0.990485084256457090f, -0.137620121586485790f,
  -0.990272812363169110f, -0.139139344163826120f, -0.990058210262297120f,
    -0.140658239332849290f, -0.989841278458820530f, -0.142176803519447840f,
  -0.989622017463200890f, -0.143695033150294390f, -0.989400427791380380f,
    -0.145212924652847130f, -0.989176509964781010f, -0.146730474455361580f,
  -0.988950264510302990f, -0.148247678986896030f, -0.988721691960323780f,
    -0.149764534677321200f, -0.988490792852696700f, -0.151281037957330080f,
  -0.988257567730749460f, -0.152797185258443440f, -0.988022017143283640f,
    -0.154312973013019830f, -0.987784141644572180f, -0.155828397654265120f,
  -0.987543941794359230f, -0.157343455616238300f, -0.987301418157858430f,
    -0.158858143333861220f, -0.987056571305750970f, -0.160372457242928200f,
  -0.986809401814185530f, -0.161886393780111490f, -0.986559910264775520f,
    -0.163399949382973060f, -0.986308097244598670f, -0.164913120489969890f,
  -0.986053963346195440f, -0.166425903540463830f, -0.985797509167567480f,
    -0.167938294974731030f, -0.985538735312176060f, -0.169450291233967990f,
  -0.985277642388941330f, -0.170961888760300970f, -0.985014231012239840f,
    -0.172473083996795870f, -0.984748501801904210f, -0.173983873387463880f,
  -0.984480455383220930f, -0.175494253377271200f, -0.984210092386929140f,
    -0.177004220412148690f, -0.983937413449218920f, -0.178513770938997170f,
  -0.983662419211730250f, -0.180022901405699350f, -0.983385110321551180f,
    -0.181531608261124970f, -0.983105487431216400f, -0.183039887955140650f,
  -0.982823551198705350f, -0.184547736938619480f, -0.982539302287441240f,
    -0.186055151663446660f, -0.982252741366289480f, -0.187562128582529320f,
  -0.981963869109555240f, -0.189068664149806110f, -0.981672686196983110f,
    -0.190574754820252820f, -0.981379193313754670f, -0.192080397049892220f,
  -0.981083391150486710f, -0.193585587295803550f, -0.980785280403230430f,
    -0.195090322016128360f, -0.980484861773469380f, -0.196594597670080030f,
  -0.980182135968117430f, -0.198098410717953560f, -0.979877103699517750f,
    -0.199601757621130670f, -0.979569765685440520f, -0.201104634842091760f,
  -0.979260122649082020f, -0.202607038844421130f, -0.978948175319062200f,
    -0.204108966092816620f, -0.978633924429423210f, -0.205610413053099160f,
  -0.978317370719627650f, -0.207111376192218590f, -0.977998514934557140f,
    -0.208611851978263260f, -0.977677357824510040f, -0.210111836880469550f,
  -0.977353900145199960f, -0.211611327369227660f, -0.977028142657754390f,
    -0.213110319916091200f, -0.976700086128711840f, -0.214608810993786730f,
  -0.976369731330021250f, -0.216106797076219210f, -0.976037079039039130f,
    -0.217604274638483470f, -0.975702130038528570f, -0.219101240156869800f,
  -0.975364885116656980f, -0.220597690108873260f, -0.975025345066994120f,
    -0.222093620973203430f, -0.974683510688510670f, -0.223589029229790040f,
  -0.974339382785575860f, -0.225083911359792610f, -0.973992962167955940f,
    -0.226578263845609920f, -0.973644249650811870f, -0.228072083170885810f,
  -0.973293246054698250f, -0.229565365820518700f, -0.972939952205560180f,
    -0.231058108280671080f, -0.972584368934732320f, -0.232550307038774940f,
  -0.972226497078936380f, -0.234041958583543260f, -0.971866337480279400f,
    -0.235533059404975510f, -0.971503890986251890f, -0.237023605994366950f,
  -0.971139158449725200f, -0.238513594844318330f, -0.970772140728950240f,
    -0.240003022448741530f, -0.970402838687555500f, -0.241491885302869110f,
  -0.970031253194543970f, -0.242980179903263820f, -0.969657385124292450f,
    -0.244467902747824260f, -0.969281235356548530f, -0.245955050335794430f,
  -0.968902804776428870f, -0.247441619167773270f, -0.968522094274417380f,
    -0.248927605745719870f, -0.968139104746362440f, -0.250413006572965110f,
  -0.967753837093475510f, -0.251897818154216970f, -0.967366292222328620f,
    -0.253382036995569880f, -0.966976471044852180f, -0.254865659604514460f,
  -0.966584374478333120f, -0.256348682489942910f, -0.966190003445412620f,
    -0.257831102162158770f, -0.965793358874083680f, -0.259312915132886180f,
  -0.965394441697689400f, -0.260794117915275630f, -0.964993252854920440f,
    -0.262274707023913420f, -0.964589793289812760f, -0.263754678974831350f,
  -0.964184063951745830f, -0.265234030285511510f, -0.963776065795439950f,
    -0.266712757474898250f, -0.963365799780954050f, -0.268190857063403180f,
  -0.962953266873683990f, -0.269668325572914810f, -0.962538468044359160f,
    -0.271145159526807900f, -0.962121404269041580f, -0.272621355449949030f,
  -0.961702076529122540f, -0.274096909868706160f, -0.961280485811320640f,
    -0.275571819310958090f, -0.960856633107679550f, -0.277046080306100010f,
  -0.960430519415565900f, -0.278519689385052890f, -0.960002145737665960f,
    -0.279992643080273220f, -0.959571513081984630f, -0.281464937925757660f,
  -0.959138622461842010f, -0.282936570457055170f, -0.958703474895871600f,
    -0.284407537211271820f, -0.958266071408017780f, -0.285877834727080340f,
  -0.957826413027532910f, -0.287347459544729400f, -0.957384500788975860f,
    -0.288816408206049540f, -0.956940335732208940f, -0.290284677254462110f,
  -0.956493918902395100f, -0.291752263234989210f, -0.956045251349996410f,
    -0.293219162694258740f, -0.955594334130771110f, -0.294685372180514160f,
  -0.955141168305770780f, -0.296150888243623790f, -0.954685754941338450f,
    -0.297615707435085920f, -0.954228095109105670f, -0.299079826308040310f,
  -0.953768189885990330f, -0.300543241417273450f, -0.953306040354193970f,
    -0.302005949319227810f, -0.952841647601198720f, -0.303467946572011200f,
  -0.952375012719765880f, -0.304929229735402430f, -0.951906136807932350f,
    -0.306389795370860700f, -0.951435020969008450f, -0.307849640041534810f,
  -0.950961666311575080f, -0.309308760312268780f, -0.950486073949481810f,
    -0.310767152749611310f, -0.950008245001843000f, -0.312224813921824880f,
  -0.949528180593036790f, -0.313681740398891180f, -0.949045881852700670f,
    -0.315137928752522220f, -0.948561349915730270f, -0.316593375556165850f,
  -0.948074585922276340f, -0.318048077385014670f, -0.947585591017741200f,
    -0.319502030816015580f, -0.947094366352777220f, -0.320955232427875270f,
  -0.946600913083283650f, -0.322407678801069630f, -0.946105232370403450f,
    -0.323859366517852800f, -0.945607325380521280f, -0.325310292162262980f,
  -0.945107193285260610f, -0.326760452320131570f, -0.944604837261480260f,
    -0.328209843579092500f, -0.944100258491272770f, -0.329658462528587210f,
  -0.943593458161960390f, -0.331106305759876260f, -0.943084437466093490f,
    -0.332553369866044220f, -0.942573197601446980f, -0.333999651442009100f,
  -0.942059739771017420f, -0.335445147084531490f, -0.941544065183020810f,
    -0.336889853392220110f, -0.941026175050889370f, -0.338333766965540910f,
  -0.940506070593268410f, -0.339776884406826800f, -0.939983753034013940f,
    -0.341219202320282470f, -0.939459223602190030f, -0.342660717311994210f,
  -0.938932483532064600f, -0.344101425989938810f, -0.938403534063108280f,
    -0.345541324963988760f, -0.937872376439989890f, -0.346980410845923510f,
  -0.937339011912574960f, -0.348418680249434560f, -0.936803441735921670f,
    -0.349856129790134640f, -0.936265667170278260f, -0.351292756085566980f,
  -0.935725689481080370f, -0.352728555755210730f, -0.935183509938947720f,
    -0.354163525420490120f, -0.934639129819680780f, -0.355597661704783800f,
  -0.934092550404258870f, -0.357030961233430090f, -0.933543772978836280f,
    -0.358463420633736370f, -0.932992798834738960f, -0.359895036534988110f,
  -0.932439629268462470f, -0.361325805568453950f, -0.931884265581668150f,
    -0.362755724367397060f, -0.931326709081180430f, -0.364184789567079890f,
  -0.930766961078983820f, -0.365612997804773580f, -0.930205022892219070f,
    -0.367040345719767070f, -0.929640895843181210f, -0.368466829953372380f,
  -0.929074581259315860f, -0.369892447148933880f, -0.928506080473215590f,
    -0.371317193951837430f, -0.927935394822617780f, -0.372741067009515870f,
  -0.927362525650401110f, -0.374164062971457820f, -0.926787474304581860f,
    -0.375586178489217160f, -0.926210242138311490f, -0.377007410216417930f,
  -0.925630830509872830f, -0.378427754808765390f, -0.925049240782677580f,
    -0.379847208924051160f, -0.924465474325262710f, -0.381265769222162100f,
  -0.923879532511286850f, -0.382683432365089670f, -0.923291416719527640f,
    -0.384100195016935100f, -0.922701128333878630f, -0.385516053843918630f,
  -0.922108668743345180f, -0.386931005514388530f, -0.921514039342041900f,
    -0.388345046698826360f, -0.920917241529189520f, -0.389758174069856240f,
  -0.920318276709110590f, -0.391170384302253820f, -0.919717146291227470f,
    -0.392581674072951190f, -0.919113851690057770f, -0.393992040061047930f,
  -0.918508394325212250f, -0.395401478947816300f, -0.917900775621390610f,
    -0.396809987416710030f, -0.917290997008378020f, -0.398217562153373450f,
  -0.916679059921042700f, -0.399624199845646840f, -0.916064965799331830f,
    -0.401029897183575400f, -0.915448716088267830f, -0.402434650859418370f,
  -0.914830312237946090f, -0.403838457567654190f, -0.914209755703530690f,
    -0.405241314004989690f, -0.913587047945250810f, -0.406643216870368970f,
  -0.912962190428398320f, -0.408044162864978350f, -0.912335184623322860f,
    -0.409444148692257430f, -0.911706032005429880f, -0.410843171057903910f,
  -0.911074734055176470f, -0.412241226669882610f, -0.910441292258067250f,
    -0.413638312238434390f, -0.909805708104652220f, -0.415034424476081630f,
  -0.909167983090522490f, -0.416429560097636930f, -0.908528118716306230f,
    -0.417823715820212220f, -0.907886116487666150f, -0.419216888363224020f,
  -0.907241977915295930f, -0.420609074448402340f, -0.906595704514915450f,
    -0.422000270799799630f, -0.905947297807268570f, -0.423390474143795710f,
  -0.905296759318118820f, -0.424779681209108640f, -0.904644090578246240f,
    -0.426167888726799620f, -0.903989293123443450f, -0.427555093430281810f,
  -0.903332368494511930f, -0.428941292055329380f, -0.902673318237258830f,
    -0.430326481340082670f, -0.902012143902493290f, -0.431710658025057040f,
  -0.901348847046022030f, -0.433093818853151850f, -0.900683429228646860f,
    -0.434475960569655760f, -0.900015892016160280f, -0.435857079922255310f,
  -0.899346236979341570f, -0.437237173661044030f, -0.898674465693954040f,
    -0.438616238538527330f, -0.898000579740739880f, -0.439994271309633090f,
  -0.897324580705418320f, -0.441371268731716670f, -0.896646470178680380f,
    -0.442747227564569750f, -0.895966249756185220f, -0.444122144570429090f,
  -0.895283921038557470f, -0.445496016513981740f, -0.894599485631382810f,
    -0.446868840162373940f, -0.893912945145203250f, -0.448240612285219830f,
  -0.893224301195515320f, -0.449611329654606650f, -0.892533555402764690f,
    -0.450980989045103640f, -0.891840709392342720f, -0.452349587233770830f,
  -0.891145764794583410f, -0.453717121000163540f, -0.890448723244757990f,
    -0.455083587126343670f, -0.889749586383072780f, -0.456448982396883920f,
  -0.889048355854664680f, -0.457813303598876950f, -0.888345033309596350f,
    -0.459176547521943980f, -0.887639620402853930f, -0.460538710958240060f,
  -0.886932118794342310f, -0.461899790702462510f, -0.886222530148880640f,
    -0.463259783551860090f, -0.885510856136199950f, -0.464618686306237870f,
  -0.884797098430937900f, -0.465976495767965960f, -0.884081258712634990f,
    -0.467333208741988360f, -0.883363338665731800f, -0.468688822035827620f,
  -0.882643339979562900f, -0.470043332459595450f, -0.881921264348355050f,
    -0.471396736825997640f, -0.881197113471222200f, -0.472749031950342510f,
  -0.880470889052160870f, -0.474100214650549860f, -0.879742592800047410f,
    -0.475450281747155920f, -0.879012226428633640f, -0.476799230063321870f,
  -0.878279791656541580f, -0.478147056424842950f, -0.877545290207261240f,
    -0.479493757660153060f, -0.876808723809145760f, -0.480839330600333740f,
  -0.876070094195406600f, -0.482183772079122660f, -0.875329403104111000f,
    -0.483527078932918410f, -0.874586652278176220f, -0.484869248000790950f,
  -0.873841843465366860f, -0.486210276124486360f, -0.873094978418290200f,
    -0.487550160148435660f, -0.872346058894391540f, -0.488888896919763060f,
  -0.871595086655950980f, -0.490226483288291160f, -0.870842063470079090f,
    -0.491562916106549730f, -0.870086991108711460f, -0.492898192229783930f,
  -0.869329871348606730f, -0.494232308515959780f, -0.868570705971341010f,
    -0.495565261825772320f, -0.867809496763303320f, -0.496897049022654470f,
  -0.867046245515692870f, -0.498227666972781540f, -0.866280954024513110f,
    -0.499557112545081730f, -0.865513624090569090f, -0.500885382611240710f,
  -0.864744257519462490f, -0.502212474045710570f, -0.863972856121586810f,
    -0.503538383725717460f, -0.863199421712124160f, -0.504863108531267590f,
  -0.862423956111040720f, -0.506186645345155010f, -0.861646461143081410f,
    -0.507508991052970760f, -0.860866938637767310f, -0.508830142543107100f,
  -0.860085390429390250f, -0.510150096706766590f, -0.859301818357008470f,
    -0.511468850437970300f, -0.858516224264442960f, -0.512786400633562730f,
  -0.857728610000272120f, -0.514102744193221550f, -0.856938977417828760f,
    -0.515417878019462930f, -0.856147328375194690f, -0.516731799017649650f,
  -0.855353664735196140f, -0.518044504095999230f, -0.854557988365400530f,
    -0.519355990165589640f, -0.853760301138111520f, -0.520666254140366940f,
  -0.852960604930363740f, -0.521975292937154280f, -0.852158901623919830f,
    -0.523283103475656430f, -0.851355193105265310f, -0.524589682678468730f,
  -0.850549481265603480f, -0.525895027471084630f, -0.849741768000852660f,
    -0.527199134781901060f, -0.848932055211639720f, -0.528502001542228260f,
  -0.848120344803297230f, -0.529803624686294610f, -0.847306638685858540f,
    -0.531104001151254670f, -0.846490938774052130f, -0.532403127877197790f,
  -0.845673246987299070f, -0.533701001807152960f, -0.844853565249707230f,
    -0.534997619887096930f, -0.844031895490066520f, -0.536292979065963070f,
  -0.843208239641845440f, -0.537587076295645510f, -0.842382599643185960f,
    -0.538879908531008200f, -0.841554977436898440f, -0.540171472729892850f,
  -0.840725374970458180f, -0.541461765853123220f, -0.839893794195999630f,
    -0.542750784864515780f, -0.839060237070312740f, -0.544038526730883820f,
  -0.838224705554838190f, -0.545324988422046130f, -0.837387201615662050f,
    -0.546610166910834750f, -0.836547727223512010f, -0.547894059173100190f,
  -0.835706284353752720f, -0.549176662187719540f, -0.834862874986380120f,
    -0.550457972936604700f, -0.834017501106018130f, -0.551737988404707450f,
  -0.833170164701913300f, -0.553016705580027360f, -0.832320867767929680f,
    -0.554294121453620000f, -0.831469612302545460f, -0.555570233019601960f,
  -0.830616400308846430f, -0.556845037275159880f, -0.829761233794523050f,
    -0.558118531220556100f, -0.828904114771865100f, -0.559390711859135800f,
  -0.828045045257755800f, -0.560661576197335920f, -0.827184027273669130f,
    -0.561931121244689360f, -0.826321062845663650f, -0.563199344013833870f,
  -0.825456154004377550f, -0.564466241520519390f, -0.824589302785025290f,
    -0.565731810783613230f, -0.823720511227391540f, -0.566996048825108460f,
  -0.822849781375826430f, -0.568258952670131490f, -0.821977115279241550f,
    -0.569520519346947250f, -0.821102514991104760f, -0.570780745886967140f,
  -0.820225982569434690f, -0.572039629324757050f, -0.819347520076797120f,
    -0.573297166698041980f, -0.818467129580298770f, -0.574553355047715650f,
  -0.817584813151583710f, -0.575808191417845340f, -0.816700572866827960f,
    -0.577061672855679330f, -0.815814410806733890f, -0.578313796411655480f,
  -0.814926329056526620f, -0.579564559139405740f, -0.814036329705948520f,
    -0.580813958095764300f, -0.813144414849253590f, -0.582061990340775440f,
  -0.812250586585203880f, -0.583308652937698400f, -0.811354847017063840f,
    -0.584553942953015100f, -0.810457198252594770f, -0.585797857456438860f,
  -0.809557642404051480f, -0.587040393520917750f, -0.808656181588175090f,
    -0.588281548222645110f, -0.807752817926190360f, -0.589521318641063940f,
  -0.806847553543799450f, -0.590759701858873940f, -0.805940390571176390f,
    -0.591996694962040880f, -0.805031331142963550f, -0.593232295039799800f,
  -0.804120377398265920f, -0.594466499184664210f, -0.803207531480644940f,
    -0.595699304492433250f, -0.802292795538115720f, -0.596930708062196500f,
  -0.801376171723140350f, -0.598160706996342160f, -0.800457662192622820f,
    -0.599389298400564540f, -0.799537269107905240f, -0.600616479383868640f,
  -0.798614994634760930f, -0.601842247058579920f, -0.797690840943391160f,
    -0.603066598540348160f, -0.796764810208418940f, -0.604289530948155850f,
  -0.795836904608883570f, -0.605511041404325430f, -0.794907126328236900f,
    -0.606731127034524480f, -0.793975477554337280f, -0.607949784967773410f,
  -0.793041960479443750f, -0.609167012336453100f, -0.792106577300212280f,
    -0.610382806276309480f, -0.791169330217690310f, -0.611597163926461800f,
  -0.790230221437310140f, -0.612810082429409710f, -0.789289253168885870f,
    -0.614021558931038160f, -0.788346427626606340f, -0.615231590580626710f,
  -0.787401747029031430f, -0.616440174530853650f, -0.786455213599085990f,
    -0.617647307937803650f, -0.785506829564054040f, -0.618852987960976210f,
  -0.784556597155575240f, -0.620057211763289210f, -0.783604518609638420f,
    -0.621259976511087440f, -0.782650596166575840f, -0.622461279374149860f,
  -0.781694832071059390f, -0.623661117525694640f, -0.780737228572094600f,
    -0.624859488142386230f, -0.779777787923014550f, -0.626056388404343520f,
  -0.778816512381476200f, -0.627251815495143860f, -0.777853404209453150f,
    -0.628445766601832600f, -0.776888465673232440f, -0.629638238914926980f,
  -0.775921699043407800f, -0.630829229628424250f, -0.774953106594873930f,
    -0.632018735939808950f, -0.773982690606822790f, -0.633206755050057300f,
  -0.773010453362737100f, -0.634393284163645270f, -0.772036397150384520f,
    -0.635578320488556110f, -0.771060524261813710f, -0.636761861236284310f,
  -0.770082836993348120f, -0.637943903621843940f, -0.769103337645579700f,
    -0.639124444863775730f, -0.768122028523365640f, -0.640303482184151450f,
  -0.767138911935820510f, -0.641481012808583050f, -0.766153990196312920f,
    -0.642657033966226860f, -0.765167265622459070f, -0.643831542889791280f,
  -0.764178740536116790f, -0.645004536815543820f, -0.763188417263381270f,
    -0.646176012983316390f, -0.762196298134579120f, -0.647345968636511840f,
  -0.761202385484261890f, -0.648514401022112330f, -0.760206681651202420f,
    -0.649681307390683190f, -0.759209188978388180f, -0.650846684996380760f,
  -0.758209909813015280f, -0.652010531096959500f, -0.757208846506484790f,
    -0.653172842953776530f, -0.756206001414394650f, -0.654333617831800330f,
  -0.755201376896536550f, -0.655492852999615350f, -0.754194975316889390f,
    -0.656650545729428830f, -0.753186799043612630f, -0.657806693297078530f,
  -0.752176850449042700f, -0.658961292982037320f, -0.751165131909686590f,
    -0.660114342067420260f, -0.750151645806215070f, -0.661265837839992150f,
  -0.749136394523459260f, -0.662415777590171780f, -0.748119380450403710f,
    -0.663564158612039660f, -0.747100605980180130f, -0.664710978203344790f,
  -0.746080073510064000f, -0.665856233665509390f, -0.745057785441466060f,
    -0.666999922303637360f, -0.744033744179929290f, -0.668142041426518450f,
  -0.743007952135121940f, -0.669282588346635790f, -0.741980411720831070f,
    -0.670421560380172980f, -0.740951125354959110f, -0.671558954847018440f,
  -0.739920095459516310f, -0.672694769070772750f, -0.738887324460615220f,
    -0.673829000378756040f, -0.737852814788465980f, -0.674961646102012040f,
  -0.736816568877370020f, -0.676092703575315810f, -0.735778589165713590f,
    -0.677222170137180330f, -0.734738878095963720f, -0.678350043129861250f,
  -0.733697438114660370f, -0.679476319899364860f, -0.732654271672412820f,
    -0.680600997795453020f, -0.731609381223892740f, -0.681724074171649600f,
  -0.730562769227827700f, -0.682845546385247970f, -0.729514438146997010f,
    -0.683965411797315400f, -0.728464390448225420f, -0.685083667772700130f,
  -0.727412628602375880f, -0.686200311680038480f, -0.726359155084345900f,
    -0.687315340891759160f, -0.725303972373060880f, -0.688428752784090330f,
  -0.724247082951467000f, -0.689540544737066830f, -0.723188489306527680f,
    -0.690650714134534380f, -0.722128193929215460f, -0.691759258364157640f,
  -0.721066199314508110f, -0.692866174817424630f, -0.720002507961381880f,
    -0.693971460889653780f, -0.718937122372804490f, -0.695075113980000770f,
  -0.717870045055731710f, -0.696177131491462990f, -0.716801278521099650f,
    -0.697277510830886400f, -0.715730825283818710f, -0.698376249408972800f,
  -0.714658687862768980f, -0.699473344640283880f, -0.713584868780793750f,
    -0.700568793943248220f, -0.712509370564692320f, -0.701662594740168450f,
  -0.711432195745216660f, -0.702754744457225080f, -0.710353346857062420f,
    -0.703845240524484830f, -0.709272826438865690f, -0.704934080375904880f,
  -0.708190637033195510f, -0.706021261449339520f, -0.707106781186547680f,
    -0.707106781186547460f, -0.706021261449339740f, -0.708190637033195290f,
  -0.704934080375905100f, -0.709272826438865470f, -0.703845240524485050f,
    -0.710353346857062310f, -0.702754744457225300f, -0.711432195745216430f,
  -0.701662594740168680f, -0.712509370564692210f, -0.700568793943248450f,
    -0.713584868780793520f, -0.699473344640284100f, -0.714658687862768760f,
  -0.698376249408973030f, -0.715730825283818480f, -0.697277510830886630f,
    -0.716801278521099540f, -0.696177131491463210f, -0.717870045055731490f,
  -0.695075113980000990f, -0.718937122372804380f, -0.693971460889654000f,
    -0.720002507961381650f, -0.692866174817424850f, -0.721066199314507880f,
  -0.691759258364157860f, -0.722128193929215230f, -0.690650714134534600f,
    -0.723188489306527460f, -0.689540544737067050f, -0.724247082951466780f,
  -0.688428752784090550f, -0.725303972373060660f, -0.687315340891759390f,
    -0.726359155084345680f, -0.686200311680038700f, -0.727412628602375650f,
  -0.685083667772700360f, -0.728464390448225200f, -0.683965411797315630f,
    -0.729514438146996790f, -0.682845546385248190f, -0.730562769227827480f,
  -0.681724074171649820f, -0.731609381223892520f, -0.680600997795453240f,
    -0.732654271672412590f, -0.679476319899365080f, -0.733697438114660150f,
  -0.678350043129861470f, -0.734738878095963500f, -0.677222170137180560f,
    -0.735778589165713370f, -0.676092703575316030f, -0.736816568877369790f,
  -0.674961646102012260f, -0.737852814788465760f, -0.673829000378756260f,
    -0.738887324460615000f, -0.672694769070772970f, -0.739920095459516090f,
  -0.671558954847018660f, -0.740951125354958880f, -0.670421560380173200f,
    -0.741980411720830960f, -0.669282588346636120f, -0.743007952135121720f,
  -0.668142041426518670f, -0.744033744179929070f, -0.666999922303637580f,
    -0.745057785441465840f, -0.665856233665509610f, -0.746080073510063780f,
  -0.664710978203345020f, -0.747100605980180020f, -0.663564158612039880f,
    -0.748119380450403490f, -0.662415777590172010f, -0.749136394523459040f,
  -0.661265837839992380f, -0.750151645806214960f, -0.660114342067420480f,
    -0.751165131909686370f, -0.658961292982037540f, -0.752176850449042480f,
  -0.657806693297078750f, -0.753186799043612410f, -0.656650545729429050f,
    -0.754194975316889170f, -0.655492852999615570f, -0.755201376896536320f,
  -0.654333617831800660f, -0.756206001414394420f, -0.653172842953777090f,
    -0.757208846506484230f, -0.652010531096959720f, -0.758209909813015170f,
  -0.650846684996380990f, -0.759209188978387960f, -0.649681307390683080f,
    -0.760206681651202420f, -0.648514401022112220f, -0.761202385484262000f,
  -0.647345968636512500f, -0.762196298134578560f, -0.646176012983316620f,
    -0.763188417263381050f, -0.645004536815544040f, -0.764178740536116560f,
  -0.643831542889791500f, -0.765167265622458960f, -0.642657033966226750f,
    -0.766153990196313030f, -0.641481012808583610f, -0.767138911935820070f,
  -0.640303482184152010f, -0.768122028523365090f, -0.639124444863775950f,
    -0.769103337645579480f, -0.637943903621844170f, -0.770082836993347900f,
  -0.636761861236284200f, -0.771060524261813820f, -0.635578320488556000f,
    -0.772036397150384630f, -0.634393284163645930f, -0.773010453362736660f,
  -0.633206755050057520f, -0.773982690606822570f, -0.632018735939809170f,
    -0.774953106594873820f, -0.630829229628424580f, -0.775921699043407580f,
  -0.629638238914926870f, -0.776888465673232550f, -0.628445766601833160f,
    -0.777853404209452700f, -0.627251815495144420f, -0.778816512381475650f,
  -0.626056388404343740f, -0.779777787923014330f, -0.624859488142386450f,
    -0.780737228572094380f, -0.623661117525694530f, -0.781694832071059500f,
  -0.622461279374149750f, -0.782650596166575840f, -0.621259976511088000f,
    -0.783604518609637980f, -0.620057211763289430f, -0.784556597155575020f,
  -0.618852987960976430f, -0.785506829564053820f, -0.617647307937803980f,
    -0.786455213599085770f, -0.616440174530853540f, -0.787401747029031430f,
  -0.615231590580627260f, -0.788346427626605890f, -0.614021558931038710f,
    -0.789289253168885430f, -0.612810082429409930f, -0.790230221437309920f,
  -0.611597163926462020f, -0.791169330217690090f, -0.610382806276309360f,
    -0.792106577300212390f, -0.609167012336452980f, -0.793041960479443860f,
  -0.607949784967774080f, -0.793975477554336840f, -0.606731127034524810f,
    -0.794907126328236790f, -0.605511041404325660f, -0.795836904608883460f,
  -0.604289530948156070f, -0.796764810208418720f, -0.603066598540348050f,
    -0.797690840943391160f, -0.601842247058580470f, -0.798614994634760490f,
  -0.600616479383869310f, -0.799537269107904790f, -0.599389298400564760f,
    -0.800457662192622600f, -0.598160706996342380f, -0.801376171723140130f,
  -0.596930708062196390f, -0.802292795538115720f, -0.595699304492433130f,
    -0.803207531480645050f, -0.594466499184664880f, -0.804120377398265470f,
  -0.593232295039800130f, -0.805031331142963440f, -0.591996694962041100f,
    -0.805940390571176170f, -0.590759701858874280f, -0.806847553543799220f,
  -0.589521318641063830f, -0.807752817926190470f, -0.588281548222645780f,
    -0.808656181588174650f, -0.587040393520918300f, -0.809557642404051040f,
  -0.585797857456439090f, -0.810457198252594660f, -0.584553942953015330f,
    -0.811354847017063730f, -0.583308652937698290f, -0.812250586585203990f,
  -0.582061990340775330f, -0.813144414849253700f, -0.580813958095764970f,
    -0.814036329705948080f, -0.579564559139405970f, -0.814926329056526400f,
  -0.578313796411655700f, -0.815814410806733670f, -0.577061672855679550f,
    -0.816700572866827730f, -0.575808191417845230f, -0.817584813151583820f,
  -0.574553355047716320f, -0.818467129580298320f, -0.573297166698042540f,
    -0.819347520076796680f, -0.572039629324757270f, -0.820225982569434460f,
  -0.570780745886967370f, -0.821102514991104650f, -0.569520519346947140f,
    -0.821977115279241550f, -0.568258952670131380f, -0.822849781375826430f,
  -0.566996048825109010f, -0.823720511227391090f, -0.565731810783613450f,
    -0.824589302785025070f, -0.564466241520519610f, -0.825456154004377440f,
  -0.563199344013834090f, -0.826321062845663420f, -0.561931121244689250f,
    -0.827184027273669240f, -0.560661576197336480f, -0.828045045257755460f,
  -0.559390711859136470f, -0.828904114771864650f, -0.558118531220556320f,
    -0.829761233794522930f, -0.556845037275160100f, -0.830616400308846200f,
  -0.555570233019602180f, -0.831469612302545240f, -0.554294121453619890f,
    -0.832320867767929800f, -0.553016705580027910f, -0.833170164701912960f,
  -0.551737988404707670f, -0.834017501106017910f, -0.550457972936604920f,
    -0.834862874986380010f, -0.549176662187719770f, -0.835706284353752600f,
  -0.547894059173100080f, -0.836547727223512120f, -0.546610166910835420f,
    -0.837387201615661600f, -0.545324988422046800f, -0.838224705554837860f,
  -0.544038526730884150f, -0.839060237070312520f, -0.542750784864516000f,
    -0.839893794195999410f, -0.541461765853123440f, -0.840725374970458070f,
  -0.540171472729892740f, -0.841554977436898550f, -0.538879908531008870f,
    -0.842382599643185630f, -0.537587076295645730f, -0.843208239641845210f,
  -0.536292979065963290f, -0.844031895490066300f, -0.534997619887097260f,
    -0.844853565249707010f, -0.533701001807152850f, -0.845673246987299180f,
  -0.532403127877198460f, -0.846490938774051790f, -0.531104001151255330f,
    -0.847306638685858090f, -0.529803624686294940f, -0.848120344803297120f,
  -0.528502001542228590f, -0.848932055211639610f, -0.527199134781901280f,
    -0.849741768000852550f, -0.525895027471084520f, -0.850549481265603590f,
  -0.524589682678469390f, -0.851355193105264860f, -0.523283103475656760f,
    -0.852158901623919610f, -0.521975292937154500f, -0.852960604930363520f,
  -0.520666254140367160f, -0.853760301138111410f, -0.519355990165589420f,
    -0.854557988365400640f, -0.518044504095999890f, -0.855353664735195700f,
  -0.516731799017650210f, -0.856147328375194250f, -0.515417878019463260f,
    -0.856938977417828540f, -0.514102744193221770f, -0.857728610000272010f,
  -0.512786400633562960f, -0.858516224264442850f, -0.511468850437970190f,
    -0.859301818357008470f, -0.510150096706767250f, -0.860085390429389920f,
  -0.508830142543107320f, -0.860866938637767090f, -0.507508991052970980f,
    -0.861646461143081190f, -0.506186645345155340f, -0.862423956111040500f,
  -0.504863108531267370f, -0.863199421712124270f, -0.503538383725718020f,
    -0.863972856121586470f, -0.502212474045711120f, -0.864744257519462160f,
  -0.500885382611241050f, -0.865513624090568980f, -0.499557112545082000f,
    -0.866280954024512880f, -0.498227666972781810f, -0.867046245515692650f,
  -0.496897049022654360f, -0.867809496763303320f, -0.495565261825772980f,
    -0.868570705971340670f, -0.494232308515960060f, -0.869329871348606620f,
  -0.492898192229784200f, -0.870086991108711350f, -0.491562916106549950f,
    -0.870842063470078860f, -0.490226483288291050f, -0.871595086655951090f,
  -0.488888896919763730f, -0.872346058894391210f, -0.487550160148436330f,
    -0.873094978418289870f, -0.486210276124486640f, -0.873841843465366750f,
  -0.484869248000791180f, -0.874586652278176110f, -0.483527078932918690f,
    -0.875329403104110890f, -0.482183772079122550f, -0.876070094195406710f,
  -0.480839330600334400f, -0.876808723809145430f, -0.479493757660153340f,
    -0.877545290207261130f, -0.478147056424843230f, -0.878279791656541460f,
  -0.476799230063322140f, -0.879012226428633410f, -0.475450281747155760f,
    -0.879742592800047520f, -0.474100214650550520f, -0.880470889052160530f,
  -0.472749031950343180f, -0.881197113471221870f, -0.471396736825997860f,
    -0.881921264348354940f, -0.470043332459595730f, -0.882643339979562680f,
  -0.468688822035827900f, -0.883363338665731580f, -0.467333208741988250f,
    -0.884081258712635100f, -0.465976495767966630f, -0.884797098430937570f,
  -0.464618686306238150f, -0.885510856136199730f, -0.463259783551860370f,
    -0.886222530148880530f, -0.461899790702462790f, -0.886932118794342190f,
  -0.460538710958239890f, -0.887639620402854050f, -0.459176547521944640f,
    -0.888345033309596020f, -0.457813303598877620f, -0.889048355854664350f,
  -0.456448982396884200f, -0.889749586383072670f, -0.455083587126343950f,
    -0.890448723244757880f, -0.453717121000163810f, -0.891145764794583290f,
  -0.452349587233770670f, -0.891840709392342830f, -0.450980989045104310f,
    -0.892533555402764360f, -0.449611329654606930f, -0.893224301195515210f,
  -0.448240612285220110f, -0.893912945145203140f, -0.446868840162374210f,
    -0.894599485631382700f, -0.445496016513981630f, -0.895283921038557580f,
  -0.444122144570429760f, -0.895966249756184880f, -0.442747227564570410f,
    -0.896646470178680040f, -0.441371268731716950f, -0.897324580705418210f,
  -0.439994271309633370f, -0.898000579740739770f, -0.438616238538527600f,
    -0.898674465693953820f, -0.437237173661043920f, -0.899346236979341680f,
  -0.435857079922255970f, -0.900015892016159950f, -0.434475960569656040f,
    -0.900683429228646750f, -0.433093818853152120f, -0.901348847046021920f,
  -0.431710658025057310f, -0.902012143902493180f, -0.430326481340082500f,
    -0.902673318237258830f, -0.428941292055330050f, -0.903332368494511600f,
  -0.427555093430282470f, -0.903989293123443120f, -0.426167888726799890f,
    -0.904644090578246130f, -0.424779681209108920f, -0.905296759318118700f,
  -0.423390474143795990f, -0.905947297807268460f, -0.422000270799799520f,
    -0.906595704514915450f, -0.420609074448403010f, -0.907241977915295590f,
  -0.419216888363224290f, -0.907886116487666040f, -0.417823715820212490f,
    -0.908528118716306010f, -0.416429560097637210f, -0.909167983090522380f,
  -0.415034424476081520f, -0.909805708104652330f, -0.413638312238435110f,
    -0.910441292258066910f, -0.412241226669883280f, -0.911074734055176140f,
  -0.410843171057904190f, -0.911706032005429770f, -0.409444148692257760f,
    -0.912335184623322750f, -0.408044162864978630f, -0.912962190428398210f,
  -0.406643216870368810f, -0.913587047945250920f, -0.405241314004990360f,
    -0.914209755703530470f, -0.403838457567654460f, -0.914830312237945980f,
  -0.402434650859418650f, -0.915448716088267720f, -0.401029897183575680f,
    -0.916064965799331720f, -0.399624199845646730f, -0.916679059921042700f,
  -0.398217562153374170f, -0.917290997008377680f, -0.396809987416710750f,
    -0.917900775621390270f, -0.395401478947816580f, -0.918508394325212140f,
  -0.393992040061048210f, -0.919113851690057660f, -0.392581674072951470f,
    -0.919717146291227360f, -0.391170384302253700f, -0.920318276709110590f,
  -0.389758174069856970f, -0.920917241529189300f, -0.388345046698826630f,
    -0.921514039342041790f, -0.386931005514388800f, -0.922108668743345070f,
  -0.385516053843918900f, -0.922701128333878520f, -0.384100195016934930f,
    -0.923291416719527640f, -0.382683432365090340f, -0.923879532511286520f,
  -0.381265769222162760f, -0.924465474325262490f, -0.379847208924051440f,
    -0.925049240782677470f, -0.378427754808765730f, -0.925630830509872720f,
  -0.377007410216418200f, -0.926210242138311380f, -0.375586178489217050f,
    -0.926787474304581860f, -0.374164062971458490f, -0.927362525650400890f,
  -0.372741067009516150f, -0.927935394822617670f, -0.371317193951837770f,
    -0.928506080473215480f, -0.369892447148934160f, -0.929074581259315750f,
  -0.368466829953372210f, -0.929640895843181330f, -0.367040345719766960f,
    -0.930205022892219180f, -0.365612997804774300f, -0.930766961078983600f,
  -0.364184789567080170f, -0.931326709081180320f, -0.362755724367397340f,
    -0.931884265581668040f, -0.361325805568454230f, -0.932439629268462360f,
  -0.359895036534987940f, -0.932992798834738960f, -0.358463420633737040f,
    -0.933543772978835950f, -0.357030961233430370f, -0.934092550404258760f,
  -0.355597661704784070f, -0.934639129819680670f, -0.354163525420490450f,
    -0.935183509938947610f, -0.352728555755210620f, -0.935725689481080370f,
  -0.351292756085566870f, -0.936265667170278370f, -0.349856129790135360f,
    -0.936803441735921450f, -0.348418680249434840f, -0.937339011912574850f,
  -0.346980410845923790f, -0.937872376439989770f, -0.345541324963989040f,
    -0.938403534063108170f, -0.344101425989938650f, -0.938932483532064600f,
  -0.342660717311994880f, -0.939459223602189700f, -0.341219202320282740f,
    -0.939983753034013820f, -0.339776884406827070f, -0.940506070593268300f,
  -0.338333766965541240f, -0.941026175050889260f, -0.336889853392219940f,
    -0.941544065183020810f, -0.335445147084531380f, -0.942059739771017420f,
  -0.333999651442009830f, -0.942573197601446760f, -0.332553369866044500f,
    -0.943084437466093380f, -0.331106305759876540f, -0.943593458161960270f,
  -0.329658462528587490f, -0.944100258491272660f, -0.328209843579092330f,
    -0.944604837261480370f, -0.326760452320132290f, -0.945107193285260380f,
  -0.325310292162263310f, -0.945607325380521170f, -0.323859366517853080f,
    -0.946105232370403340f, -0.322407678801069910f, -0.946600913083283530f,
  -0.320955232427875160f, -0.947094366352777220f, -0.319502030816015410f,
    -0.947585591017741200f, -0.318048077385015390f, -0.948074585922276110f,
  -0.316593375556166180f, -0.948561349915730160f, -0.315137928752522560f,
    -0.949045881852700560f, -0.313681740398891460f, -0.949528180593036670f,
  -0.312224813921824770f, -0.950008245001843110f, -0.310767152749612030f,
    -0.950486073949481590f, -0.309308760312269060f, -0.950961666311574970f,
  -0.307849640041535090f, -0.951435020969008340f, -0.306389795370861030f,
    -0.951906136807932350f, -0.304929229735402320f, -0.952375012719765880f,
  -0.303467946572011040f, -0.952841647601198720f, -0.302005949319228530f,
    -0.953306040354193750f, -0.300543241417273730f, -0.953768189885990210f,
  -0.299079826308040590f, -0.954228095109105560f, -0.297615707435086200f,
    -0.954685754941338340f, -0.296150888243623680f, -0.955141168305770780f,
  -0.294685372180514880f, -0.955594334130770880f, -0.293219162694259020f,
    -0.956045251349996290f, -0.291752263234989480f, -0.956493918902394990f,
  -0.290284677254462440f, -0.956940335732208820f, -0.288816408206049370f,
    -0.957384500788975970f, -0.287347459544729290f, -0.957826413027533020f,
  -0.285877834727081060f, -0.958266071408017560f, -0.284407537211272150f,
    -0.958703474895871490f, -0.282936570457055500f, -0.959138622461841890f,
  -0.281464937925757940f, -0.959571513081984520f, -0.279992643080273050f,
    -0.960002145737665960f, -0.278519689385053610f, -0.960430519415565680f,
  -0.277046080306100280f, -0.960856633107679550f, -0.275571819310958370f,
    -0.961280485811320530f, -0.274096909868706440f, -0.961702076529122540f,
  -0.272621355449948870f, -0.962121404269041580f, -0.271145159526807790f,
    -0.962538468044359270f, -0.269668325572915530f, -0.962953266873683770f,
  -0.268190857063403510f, -0.963365799780953940f, -0.266712757474898530f,
    -0.963776065795439840f, -0.265234030285511790f, -0.964184063951745830f,
  -0.263754678974831240f, -0.964589793289812760f, -0.262274707023914140f,
    -0.964993252854920210f, -0.260794117915275900f, -0.965394441697689290f,
  -0.259312915132886460f, -0.965793358874083570f, -0.257831102162159040f,
    -0.966190003445412500f, -0.256348682489942800f, -0.966584374478333120f,
  -0.254865659604514350f, -0.966976471044852180f, -0.253382036995570600f,
    -0.967366292222328390f, -0.251897818154217250f, -0.967753837093475400f,
  -0.250413006572965390f, -0.968139104746362330f, -0.248927605745720150f,
    -0.968522094274417270f, -0.247441619167773130f, -0.968902804776428870f,
  -0.245955050335795150f, -0.969281235356548310f, -0.244467902747824540f,
    -0.969657385124292340f, -0.242980179903264120f, -0.970031253194543970f,
  -0.241491885302869410f, -0.970402838687555500f, -0.240003022448741390f,
    -0.970772140728950350f, -0.238513594844318190f, -0.971139158449725200f,
  -0.237023605994367670f, -0.971503890986251670f, -0.235533059404975790f,
    -0.971866337480279290f, -0.234041958583543570f, -0.972226497078936270f,
  -0.232550307038775220f, -0.972584368934732210f, -0.231058108280670940f,
    -0.972939952205560180f, -0.229565365820519420f, -0.973293246054698140f,
  -0.228072083170886120f, -0.973644249650811870f, -0.226578263845610220f,
    -0.973992962167955830f, -0.225083911359792920f, -0.974339382785575860f,
  -0.223589029229789900f, -0.974683510688510670f, -0.222093620973203290f,
    -0.975025345066994230f, -0.220597690108873980f, -0.975364885116656870f,
  -0.219101240156870100f, -0.975702130038528460f, -0.217604274638483780f,
    -0.976037079039039020f, -0.216106797076219490f, -0.976369731330021140f,
  -0.214608810993786620f, -0.976700086128711840f, -0.213110319916091920f,
    -0.977028142657754280f, -0.211611327369227970f, -0.977353900145199960f,
  -0.210111836880469860f, -0.977677357824509930f, -0.208611851978263570f,
    -0.977998514934557030f, -0.207111376192218480f, -0.978317370719627650f,
  -0.205610413053099020f, -0.978633924429423210f, -0.204108966092817340f,
    -0.978948175319062090f, -0.202607038844421440f, -0.979260122649082020f,
  -0.201104634842092070f, -0.979569765685440520f, -0.199601757621130970f,
    -0.979877103699517640f, -0.198098410717953420f, -0.980182135968117430f,
  -0.196594597670080780f, -0.980484861773469270f, -0.195090322016128660f,
    -0.980785280403230320f, -0.193585587295803860f, -0.981083391150486590f,
  -0.192080397049892520f, -0.981379193313754560f, -0.190574754820252680f,
    -0.981672686196983110f, -0.189068664149805970f, -0.981963869109555350f,
  -0.187562128582530070f, -0.982252741366289370f, -0.186055151663446970f,
    -0.982539302287441240f, -0.184547736938619780f, -0.982823551198705240f,
  -0.183039887955140950f, -0.983105487431216290f, -0.181531608261124830f,
    -0.983385110321551290f, -0.180022901405700070f, -0.983662419211730140f,
  -0.178513770938997920f, -0.983937413449218810f, -0.177004220412149000f,
    -0.984210092386929030f, -0.175494253377271510f, -0.984480455383220930f,
  -0.173983873387463740f, -0.984748501801904210f, -0.172473083996795730f,
    -0.985014231012239840f, -0.170961888760301690f, -0.985277642388941110f,
  -0.169450291233968290f, -0.985538735312176060f, -0.167938294974731340f,
    -0.985797509167567370f, -0.166425903540464100f, -0.986053963346195440f,
  -0.164913120489969760f, -0.986308097244598670f, -0.163399949382973780f,
    -0.986559910264775410f, -0.161886393780112240f, -0.986809401814185420f,
  -0.160372457242928510f, -0.987056571305750970f, -0.158858143333861530f,
    -0.987301418157858320f, -0.157343455616238190f, -0.987543941794359340f,
  -0.155828397654264980f, -0.987784141644572180f, -0.154312973013020580f,
    -0.988022017143283530f, -0.152797185258443740f, -0.988257567730749460f,
  -0.151281037957330360f, -0.988490792852696590f, -0.149764534677321510f,
    -0.988721691960323780f, -0.148247678986895890f, -0.988950264510302990f,
  -0.146730474455362300f, -0.989176509964780900f, -0.145212924652847850f,
    -0.989400427791380270f, -0.143695033150294690f, -0.989622017463200780f,
  -0.142176803519448140f, -0.989841278458820530f, -0.140658239332849160f,
    -0.990058210262297120f, -0.139139344163825980f, -0.990272812363169110f,
  -0.137620121586486540f, -0.990485084256456980f, -0.136100575175706530f,
    -0.990695025442664630f, -0.134580708507126360f, -0.990902635427780010f,
  -0.133060525157139060f, -0.991107913723276890f, -0.131540028702882950f,
    -0.991310859846115440f, -0.130019222722233930f, -0.991511473318743900f,
  -0.128498110793793590f, -0.991709753669099530f, -0.126976696496886120f,
    -0.991905700430609330f, -0.125454983411546320f, -0.992099313142191800f,
  -0.123932975118512090f, -0.992290591348257370f, -0.122410675199215960f,
    -0.992479534598710080f, -0.120888087235777570f, -0.992666142448947910f,
  -0.119365214810991690f, -0.992850414459865100f, -0.117842061508325140f,
    -0.993032350197851410f, -0.116318630911904770f, -0.993211949234794500f,
  -0.114794926606509930f, -0.993389211148080650f, -0.113270952177564920f,
    -0.993564135520595300f, -0.111746711211127000f, -0.993736721940724600f,
  -0.110222207293883310f, -0.993906970002356060f, -0.108697444013138800f,
    -0.994074879304879370f, -0.107172424956808770f, -0.994240449453187900f,
  -0.105647153713410380f, -0.994403680057679100f, -0.104121633872055070f,
    -0.994564570734255420f, -0.102595869022436610f, -0.994723121104325700f,
  -0.101069862754827990f, -0.994879330794805620f, -0.099543618660069347f,
    -0.995033199438118630f, -0.098017140329560451f, -0.995184726672196930f,
  -0.096490431355253162f, -0.995333912140482170f, -0.094963495329639408f,
    -0.995480755491926940f, -0.093436335845748036f, -0.995625256380994310f,
  -0.091908956497132821f, -0.995767414467659820f, -0.090381360877864914f,
    -0.995907229417411720f, -0.088853552582524364f, -0.996044700901251970f,
  -0.087325535206192559f, -0.996179828595696870f, -0.085797312344440227f,
    -0.996312612182778000f, -0.084268887593324238f, -0.996443051350042630f,
  -0.082740264549375706f, -0.996571145790554840f, -0.081211446809592289f,
    -0.996696895202896060f, -0.079682437971430695f, -0.996820299291165670f,
  -0.078153241632794648f, -0.996941357764982050f, -0.076623861392031742f,
    -0.997060070339482960f, -0.075094300847921402f, -0.997176436735326080f,
  -0.073564563599667357f, -0.997290456678690210f, -0.072034653246889097f,
    -0.997402129901275300f, -0.070504573389614356f, -0.997511456140303450f,
  -0.068974327628267079f, -0.997618435138519550f, -0.067443919563664231f,
    -0.997723066644191640f, -0.065913352797003832f, -0.997825350411111640f,
  -0.064382630929857312f, -0.997925286198596000f, -0.062851757564161989f,
    -0.998022873771486130f, -0.061320736302208995f, -0.998118112900149180f,
  -0.059789570746640132f, -0.998211003360478190f, -0.058258264500435857f,
    -0.998301544933892780f, -0.056726821166907686f, -0.998389737407340160f,
  -0.055195244349689712f, -0.998475580573294770f, -0.053663537652731026f,
    -0.998559074229759310f, -0.052131704680283657f, -0.998640218180265160f,
  -0.050599749036899455f, -0.998719012233872940f, -0.049067674327418029f,
    -0.998795456205172410f, -0.047535484156959157f, -0.998869549914283560f,
  -0.046003182130915206f, -0.998941293186856870f, -0.044470771854939084f,
    -0.999010685854073270f, -0.042938256934941084f, -0.999077727752645360f,
  -0.041405640977076837f, -0.999142418724816910f, -0.039872927587739748f,
    -0.999204758618363890f, -0.038340120373552472f, -0.999264747286594420f,
  -0.036807222941359331f, -0.999322384588349430f, -0.035274238898214294f,
    -0.999377670388002850f, -0.033741171851377760f, -0.999430604555461730f,
  -0.032208025408304600f, -0.999481186966166950f, -0.030674803176636484f,
    -0.999529417501093140f, -0.029141508764194309f, -0.999575296046749220f,
  -0.027608145778966163f, -0.999618822495178640f, -0.026074717829104161f,
    -0.999659996743959220f, -0.024541228522912389f, -0.999698818696204250f,
  -0.023007681468839310f, -0.999735288260561680f, -0.021474080275469286f,
    -0.999769405351215280f, -0.019940428551514944f, -0.999801169887884260f,
  -0.018406729905805164f, -0.999830581795823400f, -0.016872987947281894f,
    -0.999857641005823860f, -0.015339206284988121f, -0.999882347454212560f,
  -0.013805388528060250f, -0.999904701082852900f, -0.012271538285720512f,
    -0.999924701839144500f, -0.010737659167264916f, -0.999942349676023910f,
  -0.009203754782060083f, -0.999957644551963900f, -0.007669828739531199f,
    -0.999970586430974140f, -0.006135884649154416f, -0.999981175282601110f,
  -0.004601926120448350f, -0.999989411081928400f, -0.003067956762966483f,
    -0.999995293809576190f, -0.001533980186285111f, -0.999998823451701880f,
};

/*    
* @brief  Q31 Twiddle factors Table    
*/

/**    
* \par   
* Example code for Q31 Twiddle factors Generation::    
* \par    
* <pre>for(i = 0; i< 3N/4; i++)    
* {    
*    twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);    
*    twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);    
* } </pre>    
* \par    
* where N = 4096    and PI = 3.14159265358979    
* \par    
* Cos and Sin values are interleaved fashion    
* \par    
* Convert Floating point to Q31(Fixed point 1.31):    
*    round(twiddleCoefQ31(i) * pow(2, 31))    
*    
*/

const q31_t twiddleCoefQ31[6144] = {
  0x7fffffff, 0x0, 0x7ffff621, 0x3243f5, 0x7fffd886, 0x6487e3, 0x7fffa72c,
    0x96cbc1,
  0x7fff6216, 0xc90f88, 0x7fff0943, 0xfb5330, 0x7ffe9cb2, 0x12d96b1,
    0x7ffe1c65, 0x15fda03,
  0x7ffd885a, 0x1921d20, 0x7ffce093, 0x1c45ffe, 0x7ffc250f, 0x1f6a297,
    0x7ffb55ce, 0x228e4e2,
  0x7ffa72d1, 0x25b26d7, 0x7ff97c18, 0x28d6870, 0x7ff871a2, 0x2bfa9a4,
    0x7ff75370, 0x2f1ea6c,
  0x7ff62182, 0x3242abf, 0x7ff4dbd9, 0x3566a96, 0x7ff38274, 0x388a9ea,
    0x7ff21553, 0x3bae8b2,
  0x7ff09478, 0x3ed26e6, 0x7feeffe1, 0x41f6480, 0x7fed5791, 0x451a177,
    0x7feb9b85, 0x483ddc3,
  0x7fe9cbc0, 0x4b6195d, 0x7fe7e841, 0x4e8543e, 0x7fe5f108, 0x51a8e5c,
    0x7fe3e616, 0x54cc7b1,
  0x7fe1c76b, 0x57f0035, 0x7fdf9508, 0x5b137df, 0x7fdd4eec, 0x5e36ea9,
    0x7fdaf519, 0x615a48b,
  0x7fd8878e, 0x647d97c, 0x7fd6064c, 0x67a0d76, 0x7fd37153, 0x6ac406f,
    0x7fd0c8a3, 0x6de7262,
  0x7fce0c3e, 0x710a345, 0x7fcb3c23, 0x742d311, 0x7fc85854, 0x77501be,
    0x7fc560cf, 0x7a72f45,
  0x7fc25596, 0x7d95b9e, 0x7fbf36aa, 0x80b86c2, 0x7fbc040a, 0x83db0a7,
    0x7fb8bdb8, 0x86fd947,
  0x7fb563b3, 0x8a2009a, 0x7fb1f5fc, 0x8d42699, 0x7fae7495, 0x9064b3a,
    0x7faadf7c, 0x9386e78,
  0x7fa736b4, 0x96a9049, 0x7fa37a3c, 0x99cb0a7, 0x7f9faa15, 0x9cecf89,
    0x7f9bc640, 0xa00ece8,
  0x7f97cebd, 0xa3308bd, 0x7f93c38c, 0xa6522fe, 0x7f8fa4b0, 0xa973ba5,
    0x7f8b7227, 0xac952aa,
  0x7f872bf3, 0xafb6805, 0x7f82d214, 0xb2d7baf, 0x7f7e648c, 0xb5f8d9f,
    0x7f79e35a, 0xb919dcf,
  0x7f754e80, 0xbc3ac35, 0x7f70a5fe, 0xbf5b8cb, 0x7f6be9d4, 0xc27c389,
    0x7f671a05, 0xc59cc68,
  0x7f62368f, 0xc8bd35e, 0x7f5d3f75, 0xcbdd865, 0x7f5834b7, 0xcefdb76,
    0x7f531655, 0xd21dc87,
  0x7f4de451, 0xd53db92, 0x7f489eaa, 0xd85d88f, 0x7f434563, 0xdb7d376,
    0x7f3dd87c, 0xde9cc40,
  0x7f3857f6, 0xe1bc2e4, 0x7f32c3d1, 0xe4db75b, 0x7f2d1c0e, 0xe7fa99e,
    0x7f2760af, 0xeb199a4,
  0x7f2191b4, 0xee38766, 0x7f1baf1e, 0xf1572dc, 0x7f15b8ee, 0xf475bff,
    0x7f0faf25, 0xf7942c7,
  0x7f0991c4, 0xfab272b, 0x7f0360cb, 0xfdd0926, 0x7efd1c3c, 0x100ee8ad,
    0x7ef6c418, 0x1040c5bb,
  0x7ef05860, 0x1072a048, 0x7ee9d914, 0x10a4784b, 0x7ee34636, 0x10d64dbd,
    0x7edc9fc6, 0x11082096,
  0x7ed5e5c6, 0x1139f0cf, 0x7ecf1837, 0x116bbe60, 0x7ec8371a, 0x119d8941,
    0x7ec14270, 0x11cf516a,
  0x7eba3a39, 0x120116d5, 0x7eb31e78, 0x1232d979, 0x7eabef2c, 0x1264994e,
    0x7ea4ac58, 0x1296564d,
  0x7e9d55fc, 0x12c8106f, 0x7e95ec1a, 0x12f9c7aa, 0x7e8e6eb2, 0x132b7bf9,
    0x7e86ddc6, 0x135d2d53,
  0x7e7f3957, 0x138edbb1, 0x7e778166, 0x13c0870a, 0x7e6fb5f4, 0x13f22f58,
    0x7e67d703, 0x1423d492,
  0x7e5fe493, 0x145576b1, 0x7e57dea7, 0x148715ae, 0x7e4fc53e, 0x14b8b17f,
    0x7e47985b, 0x14ea4a1f,
  0x7e3f57ff, 0x151bdf86, 0x7e37042a, 0x154d71aa, 0x7e2e9cdf, 0x157f0086,
    0x7e26221f, 0x15b08c12,
  0x7e1d93ea, 0x15e21445, 0x7e14f242, 0x16139918, 0x7e0c3d29, 0x16451a83,
    0x7e0374a0, 0x1676987f,
  0x7dfa98a8, 0x16a81305, 0x7df1a942, 0x16d98a0c, 0x7de8a670, 0x170afd8d,
    0x7ddf9034, 0x173c6d80,
  0x7dd6668f, 0x176dd9de, 0x7dcd2981, 0x179f429f, 0x7dc3d90d, 0x17d0a7bc,
    0x7dba7534, 0x1802092c,
  0x7db0fdf8, 0x183366e9, 0x7da77359, 0x1864c0ea, 0x7d9dd55a, 0x18961728,
    0x7d9423fc, 0x18c7699b,
  0x7d8a5f40, 0x18f8b83c, 0x7d808728, 0x192a0304, 0x7d769bb5, 0x195b49ea,
    0x7d6c9ce9, 0x198c8ce7,
  0x7d628ac6, 0x19bdcbf3, 0x7d58654d, 0x19ef0707, 0x7d4e2c7f, 0x1a203e1b,
    0x7d43e05e, 0x1a517128,
  0x7d3980ec, 0x1a82a026, 0x7d2f0e2b, 0x1ab3cb0d, 0x7d24881b, 0x1ae4f1d6,
    0x7d19eebf, 0x1b161479,
  0x7d0f4218, 0x1b4732ef, 0x7d048228, 0x1b784d30, 0x7cf9aef0, 0x1ba96335,
    0x7ceec873, 0x1bda74f6,
  0x7ce3ceb2, 0x1c0b826a, 0x7cd8c1ae, 0x1c3c8b8c, 0x7ccda169, 0x1c6d9053,
    0x7cc26de5, 0x1c9e90b8,
  0x7cb72724, 0x1ccf8cb3, 0x7cabcd28, 0x1d00843d, 0x7ca05ff1, 0x1d31774d,
    0x7c94df83, 0x1d6265dd,
  0x7c894bde, 0x1d934fe5, 0x7c7da505, 0x1dc4355e, 0x7c71eaf9, 0x1df5163f,
    0x7c661dbc, 0x1e25f282,
  0x7c5a3d50, 0x1e56ca1e, 0x7c4e49b7, 0x1e879d0d, 0x7c4242f2, 0x1eb86b46,
    0x7c362904, 0x1ee934c3,
  0x7c29fbee, 0x1f19f97b, 0x7c1dbbb3, 0x1f4ab968, 0x7c116853, 0x1f7b7481,
    0x7c0501d2, 0x1fac2abf,
  0x7bf88830, 0x1fdcdc1b, 0x7bebfb70, 0x200d888d, 0x7bdf5b94, 0x203e300d,
    0x7bd2a89e, 0x206ed295,
  0x7bc5e290, 0x209f701c, 0x7bb9096b, 0x20d0089c, 0x7bac1d31, 0x21009c0c,
    0x7b9f1de6, 0x21312a65,
  0x7b920b89, 0x2161b3a0, 0x7b84e61f, 0x219237b5, 0x7b77ada8, 0x21c2b69c,
    0x7b6a6227, 0x21f3304f,
  0x7b5d039e, 0x2223a4c5, 0x7b4f920e, 0x225413f8, 0x7b420d7a, 0x22847de0,
    0x7b3475e5, 0x22b4e274,
  0x7b26cb4f, 0x22e541af, 0x7b190dbc, 0x23159b88, 0x7b0b3d2c, 0x2345eff8,
    0x7afd59a4, 0x23763ef7,
  0x7aef6323, 0x23a6887f, 0x7ae159ae, 0x23d6cc87, 0x7ad33d45, 0x24070b08,
    0x7ac50dec, 0x243743fa,
  0x7ab6cba4, 0x24677758, 0x7aa8766f, 0x2497a517, 0x7a9a0e50, 0x24c7cd33,
    0x7a8b9348, 0x24f7efa2,
  0x7a7d055b, 0x25280c5e, 0x7a6e648a, 0x2558235f, 0x7a5fb0d8, 0x2588349d,
    0x7a50ea47, 0x25b84012,
  0x7a4210d8, 0x25e845b6, 0x7a332490, 0x26184581, 0x7a24256f, 0x26483f6c,
    0x7a151378, 0x26783370,
  0x7a05eead, 0x26a82186, 0x79f6b711, 0x26d809a5, 0x79e76ca7, 0x2707ebc7,
    0x79d80f6f, 0x2737c7e3,
  0x79c89f6e, 0x27679df4, 0x79b91ca4, 0x27976df1, 0x79a98715, 0x27c737d3,
    0x7999dec4, 0x27f6fb92,
  0x798a23b1, 0x2826b928, 0x797a55e0, 0x2856708d, 0x796a7554, 0x288621b9,
    0x795a820e, 0x28b5cca5,
  0x794a7c12, 0x28e5714b, 0x793a6361, 0x29150fa1, 0x792a37fe, 0x2944a7a2,
    0x7919f9ec, 0x29743946,
  0x7909a92d, 0x29a3c485, 0x78f945c3, 0x29d34958, 0x78e8cfb2, 0x2a02c7b8,
    0x78d846fb, 0x2a323f9e,
  0x78c7aba2, 0x2a61b101, 0x78b6fda8, 0x2a911bdc, 0x78a63d11, 0x2ac08026,
    0x789569df, 0x2aefddd8,
  0x78848414, 0x2b1f34eb, 0x78738bb3, 0x2b4e8558, 0x786280bf, 0x2b7dcf17,
    0x7851633b, 0x2bad1221,
  0x78403329, 0x2bdc4e6f, 0x782ef08b, 0x2c0b83fa, 0x781d9b65, 0x2c3ab2b9,
    0x780c33b8, 0x2c69daa6,
  0x77fab989, 0x2c98fbba, 0x77e92cd9, 0x2cc815ee, 0x77d78daa, 0x2cf72939,
    0x77c5dc01, 0x2d263596,
  0x77b417df, 0x2d553afc, 0x77a24148, 0x2d843964, 0x7790583e, 0x2db330c7,
    0x777e5cc3, 0x2de2211e,
  0x776c4edb, 0x2e110a62, 0x775a2e89, 0x2e3fec8b, 0x7747fbce, 0x2e6ec792,
    0x7735b6af, 0x2e9d9b70,
  0x77235f2d, 0x2ecc681e, 0x7710f54c, 0x2efb2d95, 0x76fe790e, 0x2f29ebcc,
    0x76ebea77, 0x2f58a2be,
  0x76d94989, 0x2f875262, 0x76c69647, 0x2fb5fab2, 0x76b3d0b4, 0x2fe49ba7,
    0x76a0f8d2, 0x30133539,
  0x768e0ea6, 0x3041c761, 0x767b1231, 0x30705217, 0x76680376, 0x309ed556,
    0x7654e279, 0x30cd5115,
  0x7641af3d, 0x30fbc54d, 0x762e69c4, 0x312a31f8, 0x761b1211, 0x3158970e,
    0x7607a828, 0x3186f487,
  0x75f42c0b, 0x31b54a5e, 0x75e09dbd, 0x31e39889, 0x75ccfd42, 0x3211df04,
    0x75b94a9c, 0x32401dc6,
  0x75a585cf, 0x326e54c7, 0x7591aedd, 0x329c8402, 0x757dc5ca, 0x32caab6f,
    0x7569ca99, 0x32f8cb07,
  0x7555bd4c, 0x3326e2c3, 0x75419de7, 0x3354f29b, 0x752d6c6c, 0x3382fa88,
    0x751928e0, 0x33b0fa84,
  0x7504d345, 0x33def287, 0x74f06b9e, 0x340ce28b, 0x74dbf1ef, 0x343aca87,
    0x74c7663a, 0x3468aa76,
  0x74b2c884, 0x34968250, 0x749e18cd, 0x34c4520d, 0x7489571c, 0x34f219a8,
    0x74748371, 0x351fd918,
  0x745f9dd1, 0x354d9057, 0x744aa63f, 0x357b3f5d, 0x74359cbd, 0x35a8e625,
    0x74208150, 0x35d684a6,
  0x740b53fb, 0x36041ad9, 0x73f614c0, 0x3631a8b8, 0x73e0c3a3, 0x365f2e3b,
    0x73cb60a8, 0x368cab5c,
  0x73b5ebd1, 0x36ba2014, 0x73a06522, 0x36e78c5b, 0x738acc9e, 0x3714f02a,
    0x73752249, 0x37424b7b,
  0x735f6626, 0x376f9e46, 0x73499838, 0x379ce885, 0x7333b883, 0x37ca2a30,
    0x731dc70a, 0x37f76341,
  0x7307c3d0, 0x382493b0, 0x72f1aed9, 0x3851bb77, 0x72db8828, 0x387eda8e,
    0x72c54fc1, 0x38abf0ef,
  0x72af05a7, 0x38d8fe93, 0x7298a9dd, 0x39060373, 0x72823c67, 0x3932ff87,
    0x726bbd48, 0x395ff2c9,
  0x72552c85, 0x398cdd32, 0x723e8a20, 0x39b9bebc, 0x7227d61c, 0x39e6975e,
    0x7211107e, 0x3a136712,
  0x71fa3949, 0x3a402dd2, 0x71e35080, 0x3a6ceb96, 0x71cc5626, 0x3a99a057,
    0x71b54a41, 0x3ac64c0f,
  0x719e2cd2, 0x3af2eeb7, 0x7186fdde, 0x3b1f8848, 0x716fbd68, 0x3b4c18ba,
    0x71586b74, 0x3b78a007,
  0x71410805, 0x3ba51e29, 0x7129931f, 0x3bd19318, 0x71120cc5, 0x3bfdfecd,
    0x70fa74fc, 0x3c2a6142,
  0x70e2cbc6, 0x3c56ba70, 0x70cb1128, 0x3c830a50, 0x70b34525, 0x3caf50da,
    0x709b67c0, 0x3cdb8e09,
  0x708378ff, 0x3d07c1d6, 0x706b78e3, 0x3d33ec39, 0x70536771, 0x3d600d2c,
    0x703b44ad, 0x3d8c24a8,
  0x7023109a, 0x3db832a6, 0x700acb3c, 0x3de4371f, 0x6ff27497, 0x3e10320d,
    0x6fda0cae, 0x3e3c2369,
  0x6fc19385, 0x3e680b2c, 0x6fa90921, 0x3e93e950, 0x6f906d84, 0x3ebfbdcd,
    0x6f77c0b3, 0x3eeb889c,
  0x6f5f02b2, 0x3f1749b8, 0x6f463383, 0x3f430119, 0x6f2d532c, 0x3f6eaeb8,
    0x6f1461b0, 0x3f9a5290,
  0x6efb5f12, 0x3fc5ec98, 0x6ee24b57, 0x3ff17cca, 0x6ec92683, 0x401d0321,
    0x6eaff099, 0x40487f94,
  0x6e96a99d, 0x4073f21d, 0x6e7d5193, 0x409f5ab6, 0x6e63e87f, 0x40cab958,
    0x6e4a6e66, 0x40f60dfb,
  0x6e30e34a, 0x4121589b, 0x6e174730, 0x414c992f, 0x6dfd9a1c, 0x4177cfb1,
    0x6de3dc11, 0x41a2fc1a,
  0x6dca0d14, 0x41ce1e65, 0x6db02d29, 0x41f93689, 0x6d963c54, 0x42244481,
    0x6d7c3a98, 0x424f4845,
  0x6d6227fa, 0x427a41d0, 0x6d48047e, 0x42a5311b, 0x6d2dd027, 0x42d0161e,
    0x6d138afb, 0x42faf0d4,
  0x6cf934fc, 0x4325c135, 0x6cdece2f, 0x4350873c, 0x6cc45698, 0x437b42e1,
    0x6ca9ce3b, 0x43a5f41e,
  0x6c8f351c, 0x43d09aed, 0x6c748b3f, 0x43fb3746, 0x6c59d0a9, 0x4425c923,
    0x6c3f055d, 0x4450507e,
  0x6c242960, 0x447acd50, 0x6c093cb6, 0x44a53f93, 0x6bee3f62, 0x44cfa740,
    0x6bd3316a, 0x44fa0450,
  0x6bb812d1, 0x452456bd, 0x6b9ce39b, 0x454e9e80, 0x6b81a3cd, 0x4578db93,
    0x6b66536b, 0x45a30df0,
  0x6b4af279, 0x45cd358f, 0x6b2f80fb, 0x45f7526b, 0x6b13fef5, 0x4621647d,
    0x6af86c6c, 0x464b6bbe,
  0x6adcc964, 0x46756828, 0x6ac115e2, 0x469f59b4, 0x6aa551e9, 0x46c9405c,
    0x6a897d7d, 0x46f31c1a,
  0x6a6d98a4, 0x471cece7, 0x6a51a361, 0x4746b2bc, 0x6a359db9, 0x47706d93,
    0x6a1987b0, 0x479a1d67,
  0x69fd614a, 0x47c3c22f, 0x69e12a8c, 0x47ed5be6, 0x69c4e37a, 0x4816ea86,
    0x69a88c19, 0x48406e08,
  0x698c246c, 0x4869e665, 0x696fac78, 0x48935397, 0x69532442, 0x48bcb599,
    0x69368bce, 0x48e60c62,
  0x6919e320, 0x490f57ee, 0x68fd2a3d, 0x49389836, 0x68e06129, 0x4961cd33,
    0x68c387e9, 0x498af6df,
  0x68a69e81, 0x49b41533, 0x6889a4f6, 0x49dd282a, 0x686c9b4b, 0x4a062fbd,
    0x684f8186, 0x4a2f2be6,
  0x683257ab, 0x4a581c9e, 0x68151dbe, 0x4a8101de, 0x67f7d3c5, 0x4aa9dba2,
    0x67da79c3, 0x4ad2a9e2,
  0x67bd0fbd, 0x4afb6c98, 0x679f95b7, 0x4b2423be, 0x67820bb7, 0x4b4ccf4d,
    0x676471c0, 0x4b756f40,
  0x6746c7d8, 0x4b9e0390, 0x67290e02, 0x4bc68c36, 0x670b4444, 0x4bef092d,
    0x66ed6aa1, 0x4c177a6e,
  0x66cf8120, 0x4c3fdff4, 0x66b187c3, 0x4c6839b7, 0x66937e91, 0x4c9087b1,
    0x6675658c, 0x4cb8c9dd,
  0x66573cbb, 0x4ce10034, 0x66390422, 0x4d092ab0, 0x661abbc5, 0x4d31494b,
    0x65fc63a9, 0x4d595bfe,
  0x65ddfbd3, 0x4d8162c4, 0x65bf8447, 0x4da95d96, 0x65a0fd0b, 0x4dd14c6e,
    0x65826622, 0x4df92f46,
  0x6563bf92, 0x4e210617, 0x6545095f, 0x4e48d0dd, 0x6526438f, 0x4e708f8f,
    0x65076e25, 0x4e984229,
  0x64e88926, 0x4ebfe8a5, 0x64c99498, 0x4ee782fb, 0x64aa907f, 0x4f0f1126,
    0x648b7ce0, 0x4f369320,
  0x646c59bf, 0x4f5e08e3, 0x644d2722, 0x4f857269, 0x642de50d, 0x4faccfab,
    0x640e9386, 0x4fd420a4,
  0x63ef3290, 0x4ffb654d, 0x63cfc231, 0x50229da1, 0x63b0426d, 0x5049c999,
    0x6390b34a, 0x5070e92f,
  0x637114cc, 0x5097fc5e, 0x635166f9, 0x50bf031f, 0x6331a9d4, 0x50e5fd6d,
    0x6311dd64, 0x510ceb40,
  0x62f201ac, 0x5133cc94, 0x62d216b3, 0x515aa162, 0x62b21c7b, 0x518169a5,
    0x6292130c, 0x51a82555,
  0x6271fa69, 0x51ced46e, 0x6251d298, 0x51f576ea, 0x62319b9d, 0x521c0cc2,
    0x6211557e, 0x524295f0,
  0x61f1003f, 0x5269126e, 0x61d09be5, 0x528f8238, 0x61b02876, 0x52b5e546,
    0x618fa5f7, 0x52dc3b92,
  0x616f146c, 0x53028518, 0x614e73da, 0x5328c1d0, 0x612dc447, 0x534ef1b5,
    0x610d05b7, 0x537514c2,
  0x60ec3830, 0x539b2af0, 0x60cb5bb7, 0x53c13439, 0x60aa7050, 0x53e73097,
    0x60897601, 0x540d2005,
  0x60686ccf, 0x5433027d, 0x604754bf, 0x5458d7f9, 0x60262dd6, 0x547ea073,
    0x6004f819, 0x54a45be6,
  0x5fe3b38d, 0x54ca0a4b, 0x5fc26038, 0x54efab9c, 0x5fa0fe1f, 0x55153fd4,
    0x5f7f8d46, 0x553ac6ee,
  0x5f5e0db3, 0x556040e2, 0x5f3c7f6b, 0x5585adad, 0x5f1ae274, 0x55ab0d46,
    0x5ef936d1, 0x55d05faa,
  0x5ed77c8a, 0x55f5a4d2, 0x5eb5b3a2, 0x561adcb9, 0x5e93dc1f, 0x56400758,
    0x5e71f606, 0x566524aa,
  0x5e50015d, 0x568a34a9, 0x5e2dfe29, 0x56af3750, 0x5e0bec6e, 0x56d42c99,
    0x5de9cc33, 0x56f9147e,
  0x5dc79d7c, 0x571deefa, 0x5da5604f, 0x5742bc06, 0x5d8314b1, 0x57677b9d,
    0x5d60baa7, 0x578c2dba,
  0x5d3e5237, 0x57b0d256, 0x5d1bdb65, 0x57d5696d, 0x5cf95638, 0x57f9f2f8,
    0x5cd6c2b5, 0x581e6ef1,
  0x5cb420e0, 0x5842dd54, 0x5c9170bf, 0x58673e1b, 0x5c6eb258, 0x588b9140,
    0x5c4be5b0, 0x58afd6bd,
  0x5c290acc, 0x58d40e8c, 0x5c0621b2, 0x58f838a9, 0x5be32a67, 0x591c550e,
    0x5bc024f0, 0x594063b5,
  0x5b9d1154, 0x59646498, 0x5b79ef96, 0x598857b2, 0x5b56bfbd, 0x59ac3cfd,
    0x5b3381ce, 0x59d01475,
  0x5b1035cf, 0x59f3de12, 0x5aecdbc5, 0x5a1799d1, 0x5ac973b5, 0x5a3b47ab,
    0x5aa5fda5, 0x5a5ee79a,
  0x5a82799a, 0x5a82799a, 0x5a5ee79a, 0x5aa5fda5, 0x5a3b47ab, 0x5ac973b5,
    0x5a1799d1, 0x5aecdbc5,
  0x59f3de12, 0x5b1035cf, 0x59d01475, 0x5b3381ce, 0x59ac3cfd, 0x5b56bfbd,
    0x598857b2, 0x5b79ef96,
  0x59646498, 0x5b9d1154, 0x594063b5, 0x5bc024f0, 0x591c550e, 0x5be32a67,
    0x58f838a9, 0x5c0621b2,
  0x58d40e8c, 0x5c290acc, 0x58afd6bd, 0x5c4be5b0, 0x588b9140, 0x5c6eb258,
    0x58673e1b, 0x5c9170bf,
  0x5842dd54, 0x5cb420e0, 0x581e6ef1, 0x5cd6c2b5, 0x57f9f2f8, 0x5cf95638,
    0x57d5696d, 0x5d1bdb65,
  0x57b0d256, 0x5d3e5237, 0x578c2dba, 0x5d60baa7, 0x57677b9d, 0x5d8314b1,
    0x5742bc06, 0x5da5604f,
  0x571deefa, 0x5dc79d7c, 0x56f9147e, 0x5de9cc33, 0x56d42c99, 0x5e0bec6e,
    0x56af3750, 0x5e2dfe29,
  0x568a34a9, 0x5e50015d, 0x566524aa, 0x5e71f606, 0x56400758, 0x5e93dc1f,
    0x561adcb9, 0x5eb5b3a2,
  0x55f5a4d2, 0x5ed77c8a, 0x55d05faa, 0x5ef936d1, 0x55ab0d46, 0x5f1ae274,
    0x5585adad, 0x5f3c7f6b,
  0x556040e2, 0x5f5e0db3, 0x553ac6ee, 0x5f7f8d46, 0x55153fd4, 0x5fa0fe1f,
    0x54efab9c, 0x5fc26038,
  0x54ca0a4b, 0x5fe3b38d, 0x54a45be6, 0x6004f819, 0x547ea073, 0x60262dd6,
    0x5458d7f9, 0x604754bf,
  0x5433027d, 0x60686ccf, 0x540d2005, 0x60897601, 0x53e73097, 0x60aa7050,
    0x53c13439, 0x60cb5bb7,
  0x539b2af0, 0x60ec3830, 0x537514c2, 0x610d05b7, 0x534ef1b5, 0x612dc447,
    0x5328c1d0, 0x614e73da,
  0x53028518, 0x616f146c, 0x52dc3b92, 0x618fa5f7, 0x52b5e546, 0x61b02876,
    0x528f8238, 0x61d09be5,
  0x5269126e, 0x61f1003f, 0x524295f0, 0x6211557e, 0x521c0cc2, 0x62319b9d,
    0x51f576ea, 0x6251d298,
  0x51ced46e, 0x6271fa69, 0x51a82555, 0x6292130c, 0x518169a5, 0x62b21c7b,
    0x515aa162, 0x62d216b3,
  0x5133cc94, 0x62f201ac, 0x510ceb40, 0x6311dd64, 0x50e5fd6d, 0x6331a9d4,
    0x50bf031f, 0x635166f9,
  0x5097fc5e, 0x637114cc, 0x5070e92f, 0x6390b34a, 0x5049c999, 0x63b0426d,
    0x50229da1, 0x63cfc231,
  0x4ffb654d, 0x63ef3290, 0x4fd420a4, 0x640e9386, 0x4faccfab, 0x642de50d,
    0x4f857269, 0x644d2722,
  0x4f5e08e3, 0x646c59bf, 0x4f369320, 0x648b7ce0, 0x4f0f1126, 0x64aa907f,
    0x4ee782fb, 0x64c99498,
  0x4ebfe8a5, 0x64e88926, 0x4e984229, 0x65076e25, 0x4e708f8f, 0x6526438f,
    0x4e48d0dd, 0x6545095f,
  0x4e210617, 0x6563bf92, 0x4df92f46, 0x65826622, 0x4dd14c6e, 0x65a0fd0b,
    0x4da95d96, 0x65bf8447,
  0x4d8162c4, 0x65ddfbd3, 0x4d595bfe, 0x65fc63a9, 0x4d31494b, 0x661abbc5,
    0x4d092ab0, 0x66390422,
  0x4ce10034, 0x66573cbb, 0x4cb8c9dd, 0x6675658c, 0x4c9087b1, 0x66937e91,
    0x4c6839b7, 0x66b187c3,
  0x4c3fdff4, 0x66cf8120, 0x4c177a6e, 0x66ed6aa1, 0x4bef092d, 0x670b4444,
    0x4bc68c36, 0x67290e02,
  0x4b9e0390, 0x6746c7d8, 0x4b756f40, 0x676471c0, 0x4b4ccf4d, 0x67820bb7,
    0x4b2423be, 0x679f95b7,
  0x4afb6c98, 0x67bd0fbd, 0x4ad2a9e2, 0x67da79c3, 0x4aa9dba2, 0x67f7d3c5,
    0x4a8101de, 0x68151dbe,
  0x4a581c9e, 0x683257ab, 0x4a2f2be6, 0x684f8186, 0x4a062fbd, 0x686c9b4b,
    0x49dd282a, 0x6889a4f6,
  0x49b41533, 0x68a69e81, 0x498af6df, 0x68c387e9, 0x4961cd33, 0x68e06129,
    0x49389836, 0x68fd2a3d,
  0x490f57ee, 0x6919e320, 0x48e60c62, 0x69368bce, 0x48bcb599, 0x69532442,
    0x48935397, 0x696fac78,
  0x4869e665, 0x698c246c, 0x48406e08, 0x69a88c19, 0x4816ea86, 0x69c4e37a,
    0x47ed5be6, 0x69e12a8c,
  0x47c3c22f, 0x69fd614a, 0x479a1d67, 0x6a1987b0, 0x47706d93, 0x6a359db9,
    0x4746b2bc, 0x6a51a361,
  0x471cece7, 0x6a6d98a4, 0x46f31c1a, 0x6a897d7d, 0x46c9405c, 0x6aa551e9,
    0x469f59b4, 0x6ac115e2,
  0x46756828, 0x6adcc964, 0x464b6bbe, 0x6af86c6c, 0x4621647d, 0x6b13fef5,
    0x45f7526b, 0x6b2f80fb,
  0x45cd358f, 0x6b4af279, 0x45a30df0, 0x6b66536b, 0x4578db93, 0x6b81a3cd,
    0x454e9e80, 0x6b9ce39b,
  0x452456bd, 0x6bb812d1, 0x44fa0450, 0x6bd3316a, 0x44cfa740, 0x6bee3f62,
    0x44a53f93, 0x6c093cb6,
  0x447acd50, 0x6c242960, 0x4450507e, 0x6c3f055d, 0x4425c923, 0x6c59d0a9,
    0x43fb3746, 0x6c748b3f,
  0x43d09aed, 0x6c8f351c, 0x43a5f41e, 0x6ca9ce3b, 0x437b42e1, 0x6cc45698,
    0x4350873c, 0x6cdece2f,
  0x4325c135, 0x6cf934fc, 0x42faf0d4, 0x6d138afb, 0x42d0161e, 0x6d2dd027,
    0x42a5311b, 0x6d48047e,
  0x427a41d0, 0x6d6227fa, 0x424f4845, 0x6d7c3a98, 0x42244481, 0x6d963c54,
    0x41f93689, 0x6db02d29,
  0x41ce1e65, 0x6dca0d14, 0x41a2fc1a, 0x6de3dc11, 0x4177cfb1, 0x6dfd9a1c,
    0x414c992f, 0x6e174730,
  0x4121589b, 0x6e30e34a, 0x40f60dfb, 0x6e4a6e66, 0x40cab958, 0x6e63e87f,
    0x409f5ab6, 0x6e7d5193,
  0x4073f21d, 0x6e96a99d, 0x40487f94, 0x6eaff099, 0x401d0321, 0x6ec92683,
    0x3ff17cca, 0x6ee24b57,
  0x3fc5ec98, 0x6efb5f12, 0x3f9a5290, 0x6f1461b0, 0x3f6eaeb8, 0x6f2d532c,
    0x3f430119, 0x6f463383,
  0x3f1749b8, 0x6f5f02b2, 0x3eeb889c, 0x6f77c0b3, 0x3ebfbdcd, 0x6f906d84,
    0x3e93e950, 0x6fa90921,
  0x3e680b2c, 0x6fc19385, 0x3e3c2369, 0x6fda0cae, 0x3e10320d, 0x6ff27497,
    0x3de4371f, 0x700acb3c,
  0x3db832a6, 0x7023109a, 0x3d8c24a8, 0x703b44ad, 0x3d600d2c, 0x70536771,
    0x3d33ec39, 0x706b78e3,
  0x3d07c1d6, 0x708378ff, 0x3cdb8e09, 0x709b67c0, 0x3caf50da, 0x70b34525,
    0x3c830a50, 0x70cb1128,
  0x3c56ba70, 0x70e2cbc6, 0x3c2a6142, 0x70fa74fc, 0x3bfdfecd, 0x71120cc5,
    0x3bd19318, 0x7129931f,
  0x3ba51e29, 0x71410805, 0x3b78a007, 0x71586b74, 0x3b4c18ba, 0x716fbd68,
    0x3b1f8848, 0x7186fdde,
  0x3af2eeb7, 0x719e2cd2, 0x3ac64c0f, 0x71b54a41, 0x3a99a057, 0x71cc5626,
    0x3a6ceb96, 0x71e35080,
  0x3a402dd2, 0x71fa3949, 0x3a136712, 0x7211107e, 0x39e6975e, 0x7227d61c,
    0x39b9bebc, 0x723e8a20,
  0x398cdd32, 0x72552c85, 0x395ff2c9, 0x726bbd48, 0x3932ff87, 0x72823c67,
    0x39060373, 0x7298a9dd,
  0x38d8fe93, 0x72af05a7, 0x38abf0ef, 0x72c54fc1, 0x387eda8e, 0x72db8828,
    0x3851bb77, 0x72f1aed9,
  0x382493b0, 0x7307c3d0, 0x37f76341, 0x731dc70a, 0x37ca2a30, 0x7333b883,
    0x379ce885, 0x73499838,
  0x376f9e46, 0x735f6626, 0x37424b7b, 0x73752249, 0x3714f02a, 0x738acc9e,
    0x36e78c5b, 0x73a06522,
  0x36ba2014, 0x73b5ebd1, 0x368cab5c, 0x73cb60a8, 0x365f2e3b, 0x73e0c3a3,
    0x3631a8b8, 0x73f614c0,
  0x36041ad9, 0x740b53fb, 0x35d684a6, 0x74208150, 0x35a8e625, 0x74359cbd,
    0x357b3f5d, 0x744aa63f,
  0x354d9057, 0x745f9dd1, 0x351fd918, 0x74748371, 0x34f219a8, 0x7489571c,
    0x34c4520d, 0x749e18cd,
  0x34968250, 0x74b2c884, 0x3468aa76, 0x74c7663a, 0x343aca87, 0x74dbf1ef,
    0x340ce28b, 0x74f06b9e,
  0x33def287, 0x7504d345, 0x33b0fa84, 0x751928e0, 0x3382fa88, 0x752d6c6c,
    0x3354f29b, 0x75419de7,
  0x3326e2c3, 0x7555bd4c, 0x32f8cb07, 0x7569ca99, 0x32caab6f, 0x757dc5ca,
    0x329c8402, 0x7591aedd,
  0x326e54c7, 0x75a585cf, 0x32401dc6, 0x75b94a9c, 0x3211df04, 0x75ccfd42,
    0x31e39889, 0x75e09dbd,
  0x31b54a5e, 0x75f42c0b, 0x3186f487, 0x7607a828, 0x3158970e, 0x761b1211,
    0x312a31f8, 0x762e69c4,
  0x30fbc54d, 0x7641af3d, 0x30cd5115, 0x7654e279, 0x309ed556, 0x76680376,
    0x30705217, 0x767b1231,
  0x3041c761, 0x768e0ea6, 0x30133539, 0x76a0f8d2, 0x2fe49ba7, 0x76b3d0b4,
    0x2fb5fab2, 0x76c69647,
  0x2f875262, 0x76d94989, 0x2f58a2be, 0x76ebea77, 0x2f29ebcc, 0x76fe790e,
    0x2efb2d95, 0x7710f54c,
  0x2ecc681e, 0x77235f2d, 0x2e9d9b70, 0x7735b6af, 0x2e6ec792, 0x7747fbce,
    0x2e3fec8b, 0x775a2e89,
  0x2e110a62, 0x776c4edb, 0x2de2211e, 0x777e5cc3, 0x2db330c7, 0x7790583e,
    0x2d843964, 0x77a24148,
  0x2d553afc, 0x77b417df, 0x2d263596, 0x77c5dc01, 0x2cf72939, 0x77d78daa,
    0x2cc815ee, 0x77e92cd9,
  0x2c98fbba, 0x77fab989, 0x2c69daa6, 0x780c33b8, 0x2c3ab2b9, 0x781d9b65,
    0x2c0b83fa, 0x782ef08b,
  0x2bdc4e6f, 0x78403329, 0x2bad1221, 0x7851633b, 0x2b7dcf17, 0x786280bf,
    0x2b4e8558, 0x78738bb3,
  0x2b1f34eb, 0x78848414, 0x2aefddd8, 0x789569df, 0x2ac08026, 0x78a63d11,
    0x2a911bdc, 0x78b6fda8,
  0x2a61b101, 0x78c7aba2, 0x2a323f9e, 0x78d846fb, 0x2a02c7b8, 0x78e8cfb2,
    0x29d34958, 0x78f945c3,
  0x29a3c485, 0x7909a92d, 0x29743946, 0x7919f9ec, 0x2944a7a2, 0x792a37fe,
    0x29150fa1, 0x793a6361,
  0x28e5714b, 0x794a7c12, 0x28b5cca5, 0x795a820e, 0x288621b9, 0x796a7554,
    0x2856708d, 0x797a55e0,
  0x2826b928, 0x798a23b1, 0x27f6fb92, 0x7999dec4, 0x27c737d3, 0x79a98715,
    0x27976df1, 0x79b91ca4,
  0x27679df4, 0x79c89f6e, 0x2737c7e3, 0x79d80f6f, 0x2707ebc7, 0x79e76ca7,
    0x26d809a5, 0x79f6b711,
  0x26a82186, 0x7a05eead, 0x26783370, 0x7a151378, 0x26483f6c, 0x7a24256f,
    0x26184581, 0x7a332490,
  0x25e845b6, 0x7a4210d8, 0x25b84012, 0x7a50ea47, 0x2588349d, 0x7a5fb0d8,
    0x2558235f, 0x7a6e648a,
  0x25280c5e, 0x7a7d055b, 0x24f7efa2, 0x7a8b9348, 0x24c7cd33, 0x7a9a0e50,
    0x2497a517, 0x7aa8766f,
  0x24677758, 0x7ab6cba4, 0x243743fa, 0x7ac50dec, 0x24070b08, 0x7ad33d45,
    0x23d6cc87, 0x7ae159ae,
  0x23a6887f, 0x7aef6323, 0x23763ef7, 0x7afd59a4, 0x2345eff8, 0x7b0b3d2c,
    0x23159b88, 0x7b190dbc,
  0x22e541af, 0x7b26cb4f, 0x22b4e274, 0x7b3475e5, 0x22847de0, 0x7b420d7a,
    0x225413f8, 0x7b4f920e,
  0x2223a4c5, 0x7b5d039e, 0x21f3304f, 0x7b6a6227, 0x21c2b69c, 0x7b77ada8,
    0x219237b5, 0x7b84e61f,
  0x2161b3a0, 0x7b920b89, 0x21312a65, 0x7b9f1de6, 0x21009c0c, 0x7bac1d31,
    0x20d0089c, 0x7bb9096b,
  0x209f701c, 0x7bc5e290, 0x206ed295, 0x7bd2a89e, 0x203e300d, 0x7bdf5b94,
    0x200d888d, 0x7bebfb70,
  0x1fdcdc1b, 0x7bf88830, 0x1fac2abf, 0x7c0501d2, 0x1f7b7481, 0x7c116853,
    0x1f4ab968, 0x7c1dbbb3,
  0x1f19f97b, 0x7c29fbee, 0x1ee934c3, 0x7c362904, 0x1eb86b46, 0x7c4242f2,
    0x1e879d0d, 0x7c4e49b7,
  0x1e56ca1e, 0x7c5a3d50, 0x1e25f282, 0x7c661dbc, 0x1df5163f, 0x7c71eaf9,
    0x1dc4355e, 0x7c7da505,
  0x1d934fe5, 0x7c894bde, 0x1d6265dd, 0x7c94df83, 0x1d31774d, 0x7ca05ff1,
    0x1d00843d, 0x7cabcd28,
  0x1ccf8cb3, 0x7cb72724, 0x1c9e90b8, 0x7cc26de5, 0x1c6d9053, 0x7ccda169,
    0x1c3c8b8c, 0x7cd8c1ae,
  0x1c0b826a, 0x7ce3ceb2, 0x1bda74f6, 0x7ceec873, 0x1ba96335, 0x7cf9aef0,
    0x1b784d30, 0x7d048228,
  0x1b4732ef, 0x7d0f4218, 0x1b161479, 0x7d19eebf, 0x1ae4f1d6, 0x7d24881b,
    0x1ab3cb0d, 0x7d2f0e2b,
  0x1a82a026, 0x7d3980ec, 0x1a517128, 0x7d43e05e, 0x1a203e1b, 0x7d4e2c7f,
    0x19ef0707, 0x7d58654d,
  0x19bdcbf3, 0x7d628ac6, 0x198c8ce7, 0x7d6c9ce9, 0x195b49ea, 0x7d769bb5,
    0x192a0304, 0x7d808728,
  0x18f8b83c, 0x7d8a5f40, 0x18c7699b, 0x7d9423fc, 0x18961728, 0x7d9dd55a,
    0x1864c0ea, 0x7da77359,
  0x183366e9, 0x7db0fdf8, 0x1802092c, 0x7dba7534, 0x17d0a7bc, 0x7dc3d90d,
    0x179f429f, 0x7dcd2981,
  0x176dd9de, 0x7dd6668f, 0x173c6d80, 0x7ddf9034, 0x170afd8d, 0x7de8a670,
    0x16d98a0c, 0x7df1a942,
  0x16a81305, 0x7dfa98a8, 0x1676987f, 0x7e0374a0, 0x16451a83, 0x7e0c3d29,
    0x16139918, 0x7e14f242,
  0x15e21445, 0x7e1d93ea, 0x15b08c12, 0x7e26221f, 0x157f0086, 0x7e2e9cdf,
    0x154d71aa, 0x7e37042a,
  0x151bdf86, 0x7e3f57ff, 0x14ea4a1f, 0x7e47985b, 0x14b8b17f, 0x7e4fc53e,
    0x148715ae, 0x7e57dea7,
  0x145576b1, 0x7e5fe493, 0x1423d492, 0x7e67d703, 0x13f22f58, 0x7e6fb5f4,
    0x13c0870a, 0x7e778166,
  0x138edbb1, 0x7e7f3957, 0x135d2d53, 0x7e86ddc6, 0x132b7bf9, 0x7e8e6eb2,
    0x12f9c7aa, 0x7e95ec1a,
  0x12c8106f, 0x7e9d55fc, 0x1296564d, 0x7ea4ac58, 0x1264994e, 0x7eabef2c,
    0x1232d979, 0x7eb31e78,
  0x120116d5, 0x7eba3a39, 0x11cf516a, 0x7ec14270, 0x119d8941, 0x7ec8371a,
    0x116bbe60, 0x7ecf1837,
  0x1139f0cf, 0x7ed5e5c6, 0x11082096, 0x7edc9fc6, 0x10d64dbd, 0x7ee34636,
    0x10a4784b, 0x7ee9d914,
  0x1072a048, 0x7ef05860, 0x1040c5bb, 0x7ef6c418, 0x100ee8ad, 0x7efd1c3c,
    0xfdd0926, 0x7f0360cb,
  0xfab272b, 0x7f0991c4, 0xf7942c7, 0x7f0faf25, 0xf475bff, 0x7f15b8ee,
    0xf1572dc, 0x7f1baf1e,
  0xee38766, 0x7f2191b4, 0xeb199a4, 0x7f2760af, 0xe7fa99e, 0x7f2d1c0e,
    0xe4db75b, 0x7f32c3d1,
  0xe1bc2e4, 0x7f3857f6, 0xde9cc40, 0x7f3dd87c, 0xdb7d376, 0x7f434563,
    0xd85d88f, 0x7f489eaa,
  0xd53db92, 0x7f4de451, 0xd21dc87, 0x7f531655, 0xcefdb76, 0x7f5834b7,
    0xcbdd865, 0x7f5d3f75,
  0xc8bd35e, 0x7f62368f, 0xc59cc68, 0x7f671a05, 0xc27c389, 0x7f6be9d4,
    0xbf5b8cb, 0x7f70a5fe,
  0xbc3ac35, 0x7f754e80, 0xb919dcf, 0x7f79e35a, 0xb5f8d9f, 0x7f7e648c,
    0xb2d7baf, 0x7f82d214,
  0xafb6805, 0x7f872bf3, 0xac952aa, 0x7f8b7227, 0xa973ba5, 0x7f8fa4b0,
    0xa6522fe, 0x7f93c38c,
  0xa3308bd, 0x7f97cebd, 0xa00ece8, 0x7f9bc640, 0x9cecf89, 0x7f9faa15,
    0x99cb0a7, 0x7fa37a3c,
  0x96a9049, 0x7fa736b4, 0x9386e78, 0x7faadf7c, 0x9064b3a, 0x7fae7495,
    0x8d42699, 0x7fb1f5fc,
  0x8a2009a, 0x7fb563b3, 0x86fd947, 0x7fb8bdb8, 0x83db0a7, 0x7fbc040a,
    0x80b86c2, 0x7fbf36aa,
  0x7d95b9e, 0x7fc25596, 0x7a72f45, 0x7fc560cf, 0x77501be, 0x7fc85854,
    0x742d311, 0x7fcb3c23,
  0x710a345, 0x7fce0c3e, 0x6de7262, 0x7fd0c8a3, 0x6ac406f, 0x7fd37153,
    0x67a0d76, 0x7fd6064c,
  0x647d97c, 0x7fd8878e, 0x615a48b, 0x7fdaf519, 0x5e36ea9, 0x7fdd4eec,
    0x5b137df, 0x7fdf9508,
  0x57f0035, 0x7fe1c76b, 0x54cc7b1, 0x7fe3e616, 0x51a8e5c, 0x7fe5f108,
    0x4e8543e, 0x7fe7e841,
  0x4b6195d, 0x7fe9cbc0, 0x483ddc3, 0x7feb9b85, 0x451a177, 0x7fed5791,
    0x41f6480, 0x7feeffe1,
  0x3ed26e6, 0x7ff09478, 0x3bae8b2, 0x7ff21553, 0x388a9ea, 0x7ff38274,
    0x3566a96, 0x7ff4dbd9,
  0x3242abf, 0x7ff62182, 0x2f1ea6c, 0x7ff75370, 0x2bfa9a4, 0x7ff871a2,
    0x28d6870, 0x7ff97c18,
  0x25b26d7, 0x7ffa72d1, 0x228e4e2, 0x7ffb55ce, 0x1f6a297, 0x7ffc250f,
    0x1c45ffe, 0x7ffce093,
  0x1921d20, 0x7ffd885a, 0x15fda03, 0x7ffe1c65, 0x12d96b1, 0x7ffe9cb2,
    0xfb5330, 0x7fff0943,
  0xc90f88, 0x7fff6216, 0x96cbc1, 0x7fffa72c, 0x6487e3, 0x7fffd886, 0x3243f5,
    0x7ffff621,
  0x0, 0x7fffffff, 0xffcdbc0b, 0x7ffff621, 0xff9b781d, 0x7fffd886, 0xff69343f,
    0x7fffa72c,
  0xff36f078, 0x7fff6216, 0xff04acd0, 0x7fff0943, 0xfed2694f, 0x7ffe9cb2,
    0xfea025fd, 0x7ffe1c65,
  0xfe6de2e0, 0x7ffd885a, 0xfe3ba002, 0x7ffce093, 0xfe095d69, 0x7ffc250f,
    0xfdd71b1e, 0x7ffb55ce,
  0xfda4d929, 0x7ffa72d1, 0xfd729790, 0x7ff97c18, 0xfd40565c, 0x7ff871a2,
    0xfd0e1594, 0x7ff75370,
  0xfcdbd541, 0x7ff62182, 0xfca9956a, 0x7ff4dbd9, 0xfc775616, 0x7ff38274,
    0xfc45174e, 0x7ff21553,
  0xfc12d91a, 0x7ff09478, 0xfbe09b80, 0x7feeffe1, 0xfbae5e89, 0x7fed5791,
    0xfb7c223d, 0x7feb9b85,
  0xfb49e6a3, 0x7fe9cbc0, 0xfb17abc2, 0x7fe7e841, 0xfae571a4, 0x7fe5f108,
    0xfab3384f, 0x7fe3e616,
  0xfa80ffcb, 0x7fe1c76b, 0xfa4ec821, 0x7fdf9508, 0xfa1c9157, 0x7fdd4eec,
    0xf9ea5b75, 0x7fdaf519,
  0xf9b82684, 0x7fd8878e, 0xf985f28a, 0x7fd6064c, 0xf953bf91, 0x7fd37153,
    0xf9218d9e, 0x7fd0c8a3,
  0xf8ef5cbb, 0x7fce0c3e, 0xf8bd2cef, 0x7fcb3c23, 0xf88afe42, 0x7fc85854,
    0xf858d0bb, 0x7fc560cf,
  0xf826a462, 0x7fc25596, 0xf7f4793e, 0x7fbf36aa, 0xf7c24f59, 0x7fbc040a,
    0xf79026b9, 0x7fb8bdb8,
  0xf75dff66, 0x7fb563b3, 0xf72bd967, 0x7fb1f5fc, 0xf6f9b4c6, 0x7fae7495,
    0xf6c79188, 0x7faadf7c,
  0xf6956fb7, 0x7fa736b4, 0xf6634f59, 0x7fa37a3c, 0xf6313077, 0x7f9faa15,
    0xf5ff1318, 0x7f9bc640,
  0xf5ccf743, 0x7f97cebd, 0xf59add02, 0x7f93c38c, 0xf568c45b, 0x7f8fa4b0,
    0xf536ad56, 0x7f8b7227,
  0xf50497fb, 0x7f872bf3, 0xf4d28451, 0x7f82d214, 0xf4a07261, 0x7f7e648c,
    0xf46e6231, 0x7f79e35a,
  0xf43c53cb, 0x7f754e80, 0xf40a4735, 0x7f70a5fe, 0xf3d83c77, 0x7f6be9d4,
    0xf3a63398, 0x7f671a05,
  0xf3742ca2, 0x7f62368f, 0xf342279b, 0x7f5d3f75, 0xf310248a, 0x7f5834b7,
    0xf2de2379, 0x7f531655,
  0xf2ac246e, 0x7f4de451, 0xf27a2771, 0x7f489eaa, 0xf2482c8a, 0x7f434563,
    0xf21633c0, 0x7f3dd87c,
  0xf1e43d1c, 0x7f3857f6, 0xf1b248a5, 0x7f32c3d1, 0xf1805662, 0x7f2d1c0e,
    0xf14e665c, 0x7f2760af,
  0xf11c789a, 0x7f2191b4, 0xf0ea8d24, 0x7f1baf1e, 0xf0b8a401, 0x7f15b8ee,
    0xf086bd39, 0x7f0faf25,
  0xf054d8d5, 0x7f0991c4, 0xf022f6da, 0x7f0360cb, 0xeff11753, 0x7efd1c3c,
    0xefbf3a45, 0x7ef6c418,
  0xef8d5fb8, 0x7ef05860, 0xef5b87b5, 0x7ee9d914, 0xef29b243, 0x7ee34636,
    0xeef7df6a, 0x7edc9fc6,
  0xeec60f31, 0x7ed5e5c6, 0xee9441a0, 0x7ecf1837, 0xee6276bf, 0x7ec8371a,
    0xee30ae96, 0x7ec14270,
  0xedfee92b, 0x7eba3a39, 0xedcd2687, 0x7eb31e78, 0xed9b66b2, 0x7eabef2c,
    0xed69a9b3, 0x7ea4ac58,
  0xed37ef91, 0x7e9d55fc, 0xed063856, 0x7e95ec1a, 0xecd48407, 0x7e8e6eb2,
    0xeca2d2ad, 0x7e86ddc6,
  0xec71244f, 0x7e7f3957, 0xec3f78f6, 0x7e778166, 0xec0dd0a8, 0x7e6fb5f4,
    0xebdc2b6e, 0x7e67d703,
  0xebaa894f, 0x7e5fe493, 0xeb78ea52, 0x7e57dea7, 0xeb474e81, 0x7e4fc53e,
    0xeb15b5e1, 0x7e47985b,
  0xeae4207a, 0x7e3f57ff, 0xeab28e56, 0x7e37042a, 0xea80ff7a, 0x7e2e9cdf,
    0xea4f73ee, 0x7e26221f,
  0xea1debbb, 0x7e1d93ea, 0xe9ec66e8, 0x7e14f242, 0xe9bae57d, 0x7e0c3d29,
    0xe9896781, 0x7e0374a0,
  0xe957ecfb, 0x7dfa98a8, 0xe92675f4, 0x7df1a942, 0xe8f50273, 0x7de8a670,
    0xe8c39280, 0x7ddf9034,
  0xe8922622, 0x7dd6668f, 0xe860bd61, 0x7dcd2981, 0xe82f5844, 0x7dc3d90d,
    0xe7fdf6d4, 0x7dba7534,
  0xe7cc9917, 0x7db0fdf8, 0xe79b3f16, 0x7da77359, 0xe769e8d8, 0x7d9dd55a,
    0xe7389665, 0x7d9423fc,
  0xe70747c4, 0x7d8a5f40, 0xe6d5fcfc, 0x7d808728, 0xe6a4b616, 0x7d769bb5,
    0xe6737319, 0x7d6c9ce9,
  0xe642340d, 0x7d628ac6, 0xe610f8f9, 0x7d58654d, 0xe5dfc1e5, 0x7d4e2c7f,
    0xe5ae8ed8, 0x7d43e05e,
  0xe57d5fda, 0x7d3980ec, 0xe54c34f3, 0x7d2f0e2b, 0xe51b0e2a, 0x7d24881b,
    0xe4e9eb87, 0x7d19eebf,
  0xe4b8cd11, 0x7d0f4218, 0xe487b2d0, 0x7d048228, 0xe4569ccb, 0x7cf9aef0,
    0xe4258b0a, 0x7ceec873,
  0xe3f47d96, 0x7ce3ceb2, 0xe3c37474, 0x7cd8c1ae, 0xe3926fad, 0x7ccda169,
    0xe3616f48, 0x7cc26de5,
  0xe330734d, 0x7cb72724, 0xe2ff7bc3, 0x7cabcd28, 0xe2ce88b3, 0x7ca05ff1,
    0xe29d9a23, 0x7c94df83,
  0xe26cb01b, 0x7c894bde, 0xe23bcaa2, 0x7c7da505, 0xe20ae9c1, 0x7c71eaf9,
    0xe1da0d7e, 0x7c661dbc,
  0xe1a935e2, 0x7c5a3d50, 0xe17862f3, 0x7c4e49b7, 0xe14794ba, 0x7c4242f2,
    0xe116cb3d, 0x7c362904,
  0xe0e60685, 0x7c29fbee, 0xe0b54698, 0x7c1dbbb3, 0xe0848b7f, 0x7c116853,
    0xe053d541, 0x7c0501d2,
  0xe02323e5, 0x7bf88830, 0xdff27773, 0x7bebfb70, 0xdfc1cff3, 0x7bdf5b94,
    0xdf912d6b, 0x7bd2a89e,
  0xdf608fe4, 0x7bc5e290, 0xdf2ff764, 0x7bb9096b, 0xdeff63f4, 0x7bac1d31,
    0xdeced59b, 0x7b9f1de6,
  0xde9e4c60, 0x7b920b89, 0xde6dc84b, 0x7b84e61f, 0xde3d4964, 0x7b77ada8,
    0xde0ccfb1, 0x7b6a6227,
  0xdddc5b3b, 0x7b5d039e, 0xddabec08, 0x7b4f920e, 0xdd7b8220, 0x7b420d7a,
    0xdd4b1d8c, 0x7b3475e5,
  0xdd1abe51, 0x7b26cb4f, 0xdcea6478, 0x7b190dbc, 0xdcba1008, 0x7b0b3d2c,
    0xdc89c109, 0x7afd59a4,
  0xdc597781, 0x7aef6323, 0xdc293379, 0x7ae159ae, 0xdbf8f4f8, 0x7ad33d45,
    0xdbc8bc06, 0x7ac50dec,
  0xdb9888a8, 0x7ab6cba4, 0xdb685ae9, 0x7aa8766f, 0xdb3832cd, 0x7a9a0e50,
    0xdb08105e, 0x7a8b9348,
  0xdad7f3a2, 0x7a7d055b, 0xdaa7dca1, 0x7a6e648a, 0xda77cb63, 0x7a5fb0d8,
    0xda47bfee, 0x7a50ea47,
  0xda17ba4a, 0x7a4210d8, 0xd9e7ba7f, 0x7a332490, 0xd9b7c094, 0x7a24256f,
    0xd987cc90, 0x7a151378,
  0xd957de7a, 0x7a05eead, 0xd927f65b, 0x79f6b711, 0xd8f81439, 0x79e76ca7,
    0xd8c8381d, 0x79d80f6f,
  0xd898620c, 0x79c89f6e, 0xd868920f, 0x79b91ca4, 0xd838c82d, 0x79a98715,
    0xd809046e, 0x7999dec4,
  0xd7d946d8, 0x798a23b1, 0xd7a98f73, 0x797a55e0, 0xd779de47, 0x796a7554,
    0xd74a335b, 0x795a820e,
  0xd71a8eb5, 0x794a7c12, 0xd6eaf05f, 0x793a6361, 0xd6bb585e, 0x792a37fe,
    0xd68bc6ba, 0x7919f9ec,
  0xd65c3b7b, 0x7909a92d, 0xd62cb6a8, 0x78f945c3, 0xd5fd3848, 0x78e8cfb2,
    0xd5cdc062, 0x78d846fb,
  0xd59e4eff, 0x78c7aba2, 0xd56ee424, 0x78b6fda8, 0xd53f7fda, 0x78a63d11,
    0xd5102228, 0x789569df,
  0xd4e0cb15, 0x78848414, 0xd4b17aa8, 0x78738bb3, 0xd48230e9, 0x786280bf,
    0xd452eddf, 0x7851633b,
  0xd423b191, 0x78403329, 0xd3f47c06, 0x782ef08b, 0xd3c54d47, 0x781d9b65,
    0xd396255a, 0x780c33b8,
  0xd3670446, 0x77fab989, 0xd337ea12, 0x77e92cd9, 0xd308d6c7, 0x77d78daa,
    0xd2d9ca6a, 0x77c5dc01,
  0xd2aac504, 0x77b417df, 0xd27bc69c, 0x77a24148, 0xd24ccf39, 0x7790583e,
    0xd21ddee2, 0x777e5cc3,
  0xd1eef59e, 0x776c4edb, 0xd1c01375, 0x775a2e89, 0xd191386e, 0x7747fbce,
    0xd1626490, 0x7735b6af,
  0xd13397e2, 0x77235f2d, 0xd104d26b, 0x7710f54c, 0xd0d61434, 0x76fe790e,
    0xd0a75d42, 0x76ebea77,
  0xd078ad9e, 0x76d94989, 0xd04a054e, 0x76c69647, 0xd01b6459, 0x76b3d0b4,
    0xcfeccac7, 0x76a0f8d2,
  0xcfbe389f, 0x768e0ea6, 0xcf8fade9, 0x767b1231, 0xcf612aaa, 0x76680376,
    0xcf32aeeb, 0x7654e279,
  0xcf043ab3, 0x7641af3d, 0xced5ce08, 0x762e69c4, 0xcea768f2, 0x761b1211,
    0xce790b79, 0x7607a828,
  0xce4ab5a2, 0x75f42c0b, 0xce1c6777, 0x75e09dbd, 0xcdee20fc, 0x75ccfd42,
    0xcdbfe23a, 0x75b94a9c,
  0xcd91ab39, 0x75a585cf, 0xcd637bfe, 0x7591aedd, 0xcd355491, 0x757dc5ca,
    0xcd0734f9, 0x7569ca99,
  0xccd91d3d, 0x7555bd4c, 0xccab0d65, 0x75419de7, 0xcc7d0578, 0x752d6c6c,
    0xcc4f057c, 0x751928e0,
  0xcc210d79, 0x7504d345, 0xcbf31d75, 0x74f06b9e, 0xcbc53579, 0x74dbf1ef,
    0xcb97558a, 0x74c7663a,
  0xcb697db0, 0x74b2c884, 0xcb3badf3, 0x749e18cd, 0xcb0de658, 0x7489571c,
    0xcae026e8, 0x74748371,
  0xcab26fa9, 0x745f9dd1, 0xca84c0a3, 0x744aa63f, 0xca5719db, 0x74359cbd,
    0xca297b5a, 0x74208150,
  0xc9fbe527, 0x740b53fb, 0xc9ce5748, 0x73f614c0, 0xc9a0d1c5, 0x73e0c3a3,
    0xc97354a4, 0x73cb60a8,
  0xc945dfec, 0x73b5ebd1, 0xc91873a5, 0x73a06522, 0xc8eb0fd6, 0x738acc9e,
    0xc8bdb485, 0x73752249,
  0xc89061ba, 0x735f6626, 0xc863177b, 0x73499838, 0xc835d5d0, 0x7333b883,
    0xc8089cbf, 0x731dc70a,
  0xc7db6c50, 0x7307c3d0, 0xc7ae4489, 0x72f1aed9, 0xc7812572, 0x72db8828,
    0xc7540f11, 0x72c54fc1,
  0xc727016d, 0x72af05a7, 0xc6f9fc8d, 0x7298a9dd, 0xc6cd0079, 0x72823c67,
    0xc6a00d37, 0x726bbd48,
  0xc67322ce, 0x72552c85, 0xc6464144, 0x723e8a20, 0xc61968a2, 0x7227d61c,
    0xc5ec98ee, 0x7211107e,
  0xc5bfd22e, 0x71fa3949, 0xc593146a, 0x71e35080, 0xc5665fa9, 0x71cc5626,
    0xc539b3f1, 0x71b54a41,
  0xc50d1149, 0x719e2cd2, 0xc4e077b8, 0x7186fdde, 0xc4b3e746, 0x716fbd68,
    0xc4875ff9, 0x71586b74,
  0xc45ae1d7, 0x71410805, 0xc42e6ce8, 0x7129931f, 0xc4020133, 0x71120cc5,
    0xc3d59ebe, 0x70fa74fc,
  0xc3a94590, 0x70e2cbc6, 0xc37cf5b0, 0x70cb1128, 0xc350af26, 0x70b34525,
    0xc32471f7, 0x709b67c0,
  0xc2f83e2a, 0x708378ff, 0xc2cc13c7, 0x706b78e3, 0xc29ff2d4, 0x70536771,
    0xc273db58, 0x703b44ad,
  0xc247cd5a, 0x7023109a, 0xc21bc8e1, 0x700acb3c, 0xc1efcdf3, 0x6ff27497,
    0xc1c3dc97, 0x6fda0cae,
  0xc197f4d4, 0x6fc19385, 0xc16c16b0, 0x6fa90921, 0xc1404233, 0x6f906d84,
    0xc1147764, 0x6f77c0b3,
  0xc0e8b648, 0x6f5f02b2, 0xc0bcfee7, 0x6f463383, 0xc0915148, 0x6f2d532c,
    0xc065ad70, 0x6f1461b0,
  0xc03a1368, 0x6efb5f12, 0xc00e8336, 0x6ee24b57, 0xbfe2fcdf, 0x6ec92683,
    0xbfb7806c, 0x6eaff099,
  0xbf8c0de3, 0x6e96a99d, 0xbf60a54a, 0x6e7d5193, 0xbf3546a8, 0x6e63e87f,
    0xbf09f205, 0x6e4a6e66,
  0xbedea765, 0x6e30e34a, 0xbeb366d1, 0x6e174730, 0xbe88304f, 0x6dfd9a1c,
    0xbe5d03e6, 0x6de3dc11,
  0xbe31e19b, 0x6dca0d14, 0xbe06c977, 0x6db02d29, 0xbddbbb7f, 0x6d963c54,
    0xbdb0b7bb, 0x6d7c3a98,
  0xbd85be30, 0x6d6227fa, 0xbd5acee5, 0x6d48047e, 0xbd2fe9e2, 0x6d2dd027,
    0xbd050f2c, 0x6d138afb,
  0xbcda3ecb, 0x6cf934fc, 0xbcaf78c4, 0x6cdece2f, 0xbc84bd1f, 0x6cc45698,
    0xbc5a0be2, 0x6ca9ce3b,
  0xbc2f6513, 0x6c8f351c, 0xbc04c8ba, 0x6c748b3f, 0xbbda36dd, 0x6c59d0a9,
    0xbbafaf82, 0x6c3f055d,
  0xbb8532b0, 0x6c242960, 0xbb5ac06d, 0x6c093cb6, 0xbb3058c0, 0x6bee3f62,
    0xbb05fbb0, 0x6bd3316a,
  0xbadba943, 0x6bb812d1, 0xbab16180, 0x6b9ce39b, 0xba87246d, 0x6b81a3cd,
    0xba5cf210, 0x6b66536b,
  0xba32ca71, 0x6b4af279, 0xba08ad95, 0x6b2f80fb, 0xb9de9b83, 0x6b13fef5,
    0xb9b49442, 0x6af86c6c,
  0xb98a97d8, 0x6adcc964, 0xb960a64c, 0x6ac115e2, 0xb936bfa4, 0x6aa551e9,
    0xb90ce3e6, 0x6a897d7d,
  0xb8e31319, 0x6a6d98a4, 0xb8b94d44, 0x6a51a361, 0xb88f926d, 0x6a359db9,
    0xb865e299, 0x6a1987b0,
  0xb83c3dd1, 0x69fd614a, 0xb812a41a, 0x69e12a8c, 0xb7e9157a, 0x69c4e37a,
    0xb7bf91f8, 0x69a88c19,
  0xb796199b, 0x698c246c, 0xb76cac69, 0x696fac78, 0xb7434a67, 0x69532442,
    0xb719f39e, 0x69368bce,
  0xb6f0a812, 0x6919e320, 0xb6c767ca, 0x68fd2a3d, 0xb69e32cd, 0x68e06129,
    0xb6750921, 0x68c387e9,
  0xb64beacd, 0x68a69e81, 0xb622d7d6, 0x6889a4f6, 0xb5f9d043, 0x686c9b4b,
    0xb5d0d41a, 0x684f8186,
  0xb5a7e362, 0x683257ab, 0xb57efe22, 0x68151dbe, 0xb556245e, 0x67f7d3c5,
    0xb52d561e, 0x67da79c3,
  0xb5049368, 0x67bd0fbd, 0xb4dbdc42, 0x679f95b7, 0xb4b330b3, 0x67820bb7,
    0xb48a90c0, 0x676471c0,
  0xb461fc70, 0x6746c7d8, 0xb43973ca, 0x67290e02, 0xb410f6d3, 0x670b4444,
    0xb3e88592, 0x66ed6aa1,
  0xb3c0200c, 0x66cf8120, 0xb397c649, 0x66b187c3, 0xb36f784f, 0x66937e91,
    0xb3473623, 0x6675658c,
  0xb31effcc, 0x66573cbb, 0xb2f6d550, 0x66390422, 0xb2ceb6b5, 0x661abbc5,
    0xb2a6a402, 0x65fc63a9,
  0xb27e9d3c, 0x65ddfbd3, 0xb256a26a, 0x65bf8447, 0xb22eb392, 0x65a0fd0b,
    0xb206d0ba, 0x65826622,
  0xb1def9e9, 0x6563bf92, 0xb1b72f23, 0x6545095f, 0xb18f7071, 0x6526438f,
    0xb167bdd7, 0x65076e25,
  0xb140175b, 0x64e88926, 0xb1187d05, 0x64c99498, 0xb0f0eeda, 0x64aa907f,
    0xb0c96ce0, 0x648b7ce0,
  0xb0a1f71d, 0x646c59bf, 0xb07a8d97, 0x644d2722, 0xb0533055, 0x642de50d,
    0xb02bdf5c, 0x640e9386,
  0xb0049ab3, 0x63ef3290, 0xafdd625f, 0x63cfc231, 0xafb63667, 0x63b0426d,
    0xaf8f16d1, 0x6390b34a,
  0xaf6803a2, 0x637114cc, 0xaf40fce1, 0x635166f9, 0xaf1a0293, 0x6331a9d4,
    0xaef314c0, 0x6311dd64,
  0xaecc336c, 0x62f201ac, 0xaea55e9e, 0x62d216b3, 0xae7e965b, 0x62b21c7b,
    0xae57daab, 0x6292130c,
  0xae312b92, 0x6271fa69, 0xae0a8916, 0x6251d298, 0xade3f33e, 0x62319b9d,
    0xadbd6a10, 0x6211557e,
  0xad96ed92, 0x61f1003f, 0xad707dc8, 0x61d09be5, 0xad4a1aba, 0x61b02876,
    0xad23c46e, 0x618fa5f7,
  0xacfd7ae8, 0x616f146c, 0xacd73e30, 0x614e73da, 0xacb10e4b, 0x612dc447,
    0xac8aeb3e, 0x610d05b7,
  0xac64d510, 0x60ec3830, 0xac3ecbc7, 0x60cb5bb7, 0xac18cf69, 0x60aa7050,
    0xabf2dffb, 0x60897601,
  0xabccfd83, 0x60686ccf, 0xaba72807, 0x604754bf, 0xab815f8d, 0x60262dd6,
    0xab5ba41a, 0x6004f819,
  0xab35f5b5, 0x5fe3b38d, 0xab105464, 0x5fc26038, 0xaaeac02c, 0x5fa0fe1f,
    0xaac53912, 0x5f7f8d46,
  0xaa9fbf1e, 0x5f5e0db3, 0xaa7a5253, 0x5f3c7f6b, 0xaa54f2ba, 0x5f1ae274,
    0xaa2fa056, 0x5ef936d1,
  0xaa0a5b2e, 0x5ed77c8a, 0xa9e52347, 0x5eb5b3a2, 0xa9bff8a8, 0x5e93dc1f,
    0xa99adb56, 0x5e71f606,
  0xa975cb57, 0x5e50015d, 0xa950c8b0, 0x5e2dfe29, 0xa92bd367, 0x5e0bec6e,
    0xa906eb82, 0x5de9cc33,
  0xa8e21106, 0x5dc79d7c, 0xa8bd43fa, 0x5da5604f, 0xa8988463, 0x5d8314b1,
    0xa873d246, 0x5d60baa7,
  0xa84f2daa, 0x5d3e5237, 0xa82a9693, 0x5d1bdb65, 0xa8060d08, 0x5cf95638,
    0xa7e1910f, 0x5cd6c2b5,
  0xa7bd22ac, 0x5cb420e0, 0xa798c1e5, 0x5c9170bf, 0xa7746ec0, 0x5c6eb258,
    0xa7502943, 0x5c4be5b0,
  0xa72bf174, 0x5c290acc, 0xa707c757, 0x5c0621b2, 0xa6e3aaf2, 0x5be32a67,
    0xa6bf9c4b, 0x5bc024f0,
  0xa69b9b68, 0x5b9d1154, 0xa677a84e, 0x5b79ef96, 0xa653c303, 0x5b56bfbd,
    0xa62feb8b, 0x5b3381ce,
  0xa60c21ee, 0x5b1035cf, 0xa5e8662f, 0x5aecdbc5, 0xa5c4b855, 0x5ac973b5,
    0xa5a11866, 0x5aa5fda5,
  0xa57d8666, 0x5a82799a, 0xa55a025b, 0x5a5ee79a, 0xa5368c4b, 0x5a3b47ab,
    0xa513243b, 0x5a1799d1,
  0xa4efca31, 0x59f3de12, 0xa4cc7e32, 0x59d01475, 0xa4a94043, 0x59ac3cfd,
    0xa486106a, 0x598857b2,
  0xa462eeac, 0x59646498, 0xa43fdb10, 0x594063b5, 0xa41cd599, 0x591c550e,
    0xa3f9de4e, 0x58f838a9,
  0xa3d6f534, 0x58d40e8c, 0xa3b41a50, 0x58afd6bd, 0xa3914da8, 0x588b9140,
    0xa36e8f41, 0x58673e1b,
  0xa34bdf20, 0x5842dd54, 0xa3293d4b, 0x581e6ef1, 0xa306a9c8, 0x57f9f2f8,
    0xa2e4249b, 0x57d5696d,
  0xa2c1adc9, 0x57b0d256, 0xa29f4559, 0x578c2dba, 0xa27ceb4f, 0x57677b9d,
    0xa25a9fb1, 0x5742bc06,
  0xa2386284, 0x571deefa, 0xa21633cd, 0x56f9147e, 0xa1f41392, 0x56d42c99,
    0xa1d201d7, 0x56af3750,
  0xa1affea3, 0x568a34a9, 0xa18e09fa, 0x566524aa, 0xa16c23e1, 0x56400758,
    0xa14a4c5e, 0x561adcb9,
  0xa1288376, 0x55f5a4d2, 0xa106c92f, 0x55d05faa, 0xa0e51d8c, 0x55ab0d46,
    0xa0c38095, 0x5585adad,
  0xa0a1f24d, 0x556040e2, 0xa08072ba, 0x553ac6ee, 0xa05f01e1, 0x55153fd4,
    0xa03d9fc8, 0x54efab9c,
  0xa01c4c73, 0x54ca0a4b, 0x9ffb07e7, 0x54a45be6, 0x9fd9d22a, 0x547ea073,
    0x9fb8ab41, 0x5458d7f9,
  0x9f979331, 0x5433027d, 0x9f7689ff, 0x540d2005, 0x9f558fb0, 0x53e73097,
    0x9f34a449, 0x53c13439,
  0x9f13c7d0, 0x539b2af0, 0x9ef2fa49, 0x537514c2, 0x9ed23bb9, 0x534ef1b5,
    0x9eb18c26, 0x5328c1d0,
  0x9e90eb94, 0x53028518, 0x9e705a09, 0x52dc3b92, 0x9e4fd78a, 0x52b5e546,
    0x9e2f641b, 0x528f8238,
  0x9e0effc1, 0x5269126e, 0x9deeaa82, 0x524295f0, 0x9dce6463, 0x521c0cc2,
    0x9dae2d68, 0x51f576ea,
  0x9d8e0597, 0x51ced46e, 0x9d6decf4, 0x51a82555, 0x9d4de385, 0x518169a5,
    0x9d2de94d, 0x515aa162,
  0x9d0dfe54, 0x5133cc94, 0x9cee229c, 0x510ceb40, 0x9cce562c, 0x50e5fd6d,
    0x9cae9907, 0x50bf031f,
  0x9c8eeb34, 0x5097fc5e, 0x9c6f4cb6, 0x5070e92f, 0x9c4fbd93, 0x5049c999,
    0x9c303dcf, 0x50229da1,
  0x9c10cd70, 0x4ffb654d, 0x9bf16c7a, 0x4fd420a4, 0x9bd21af3, 0x4faccfab,
    0x9bb2d8de, 0x4f857269,
  0x9b93a641, 0x4f5e08e3, 0x9b748320, 0x4f369320, 0x9b556f81, 0x4f0f1126,
    0x9b366b68, 0x4ee782fb,
  0x9b1776da, 0x4ebfe8a5, 0x9af891db, 0x4e984229, 0x9ad9bc71, 0x4e708f8f,
    0x9abaf6a1, 0x4e48d0dd,
  0x9a9c406e, 0x4e210617, 0x9a7d99de, 0x4df92f46, 0x9a5f02f5, 0x4dd14c6e,
    0x9a407bb9, 0x4da95d96,
  0x9a22042d, 0x4d8162c4, 0x9a039c57, 0x4d595bfe, 0x99e5443b, 0x4d31494b,
    0x99c6fbde, 0x4d092ab0,
  0x99a8c345, 0x4ce10034, 0x998a9a74, 0x4cb8c9dd, 0x996c816f, 0x4c9087b1,
    0x994e783d, 0x4c6839b7,
  0x99307ee0, 0x4c3fdff4, 0x9912955f, 0x4c177a6e, 0x98f4bbbc, 0x4bef092d,
    0x98d6f1fe, 0x4bc68c36,
  0x98b93828, 0x4b9e0390, 0x989b8e40, 0x4b756f40, 0x987df449, 0x4b4ccf4d,
    0x98606a49, 0x4b2423be,
  0x9842f043, 0x4afb6c98, 0x9825863d, 0x4ad2a9e2, 0x98082c3b, 0x4aa9dba2,
    0x97eae242, 0x4a8101de,
  0x97cda855, 0x4a581c9e, 0x97b07e7a, 0x4a2f2be6, 0x979364b5, 0x4a062fbd,
    0x97765b0a, 0x49dd282a,
  0x9759617f, 0x49b41533, 0x973c7817, 0x498af6df, 0x971f9ed7, 0x4961cd33,
    0x9702d5c3, 0x49389836,
  0x96e61ce0, 0x490f57ee, 0x96c97432, 0x48e60c62, 0x96acdbbe, 0x48bcb599,
    0x96905388, 0x48935397,
  0x9673db94, 0x4869e665, 0x965773e7, 0x48406e08, 0x963b1c86, 0x4816ea86,
    0x961ed574, 0x47ed5be6,
  0x96029eb6, 0x47c3c22f, 0x95e67850, 0x479a1d67, 0x95ca6247, 0x47706d93,
    0x95ae5c9f, 0x4746b2bc,
  0x9592675c, 0x471cece7, 0x95768283, 0x46f31c1a, 0x955aae17, 0x46c9405c,
    0x953eea1e, 0x469f59b4,
  0x9523369c, 0x46756828, 0x95079394, 0x464b6bbe, 0x94ec010b, 0x4621647d,
    0x94d07f05, 0x45f7526b,
  0x94b50d87, 0x45cd358f, 0x9499ac95, 0x45a30df0, 0x947e5c33, 0x4578db93,
    0x94631c65, 0x454e9e80,
  0x9447ed2f, 0x452456bd, 0x942cce96, 0x44fa0450, 0x9411c09e, 0x44cfa740,
    0x93f6c34a, 0x44a53f93,
  0x93dbd6a0, 0x447acd50, 0x93c0faa3, 0x4450507e, 0x93a62f57, 0x4425c923,
    0x938b74c1, 0x43fb3746,
  0x9370cae4, 0x43d09aed, 0x935631c5, 0x43a5f41e, 0x933ba968, 0x437b42e1,
    0x932131d1, 0x4350873c,
  0x9306cb04, 0x4325c135, 0x92ec7505, 0x42faf0d4, 0x92d22fd9, 0x42d0161e,
    0x92b7fb82, 0x42a5311b,
  0x929dd806, 0x427a41d0, 0x9283c568, 0x424f4845, 0x9269c3ac, 0x42244481,
    0x924fd2d7, 0x41f93689,
  0x9235f2ec, 0x41ce1e65, 0x921c23ef, 0x41a2fc1a, 0x920265e4, 0x4177cfb1,
    0x91e8b8d0, 0x414c992f,
  0x91cf1cb6, 0x4121589b, 0x91b5919a, 0x40f60dfb, 0x919c1781, 0x40cab958,
    0x9182ae6d, 0x409f5ab6,
  0x91695663, 0x4073f21d, 0x91500f67, 0x40487f94, 0x9136d97d, 0x401d0321,
    0x911db4a9, 0x3ff17cca,
  0x9104a0ee, 0x3fc5ec98, 0x90eb9e50, 0x3f9a5290, 0x90d2acd4, 0x3f6eaeb8,
    0x90b9cc7d, 0x3f430119,
  0x90a0fd4e, 0x3f1749b8, 0x90883f4d, 0x3eeb889c, 0x906f927c, 0x3ebfbdcd,
    0x9056f6df, 0x3e93e950,
  0x903e6c7b, 0x3e680b2c, 0x9025f352, 0x3e3c2369, 0x900d8b69, 0x3e10320d,
    0x8ff534c4, 0x3de4371f,
  0x8fdcef66, 0x3db832a6, 0x8fc4bb53, 0x3d8c24a8, 0x8fac988f, 0x3d600d2c,
    0x8f94871d, 0x3d33ec39,
  0x8f7c8701, 0x3d07c1d6, 0x8f649840, 0x3cdb8e09, 0x8f4cbadb, 0x3caf50da,
    0x8f34eed8, 0x3c830a50,
  0x8f1d343a, 0x3c56ba70, 0x8f058b04, 0x3c2a6142, 0x8eedf33b, 0x3bfdfecd,
    0x8ed66ce1, 0x3bd19318,
  0x8ebef7fb, 0x3ba51e29, 0x8ea7948c, 0x3b78a007, 0x8e904298, 0x3b4c18ba,
    0x8e790222, 0x3b1f8848,
  0x8e61d32e, 0x3af2eeb7, 0x8e4ab5bf, 0x3ac64c0f, 0x8e33a9da, 0x3a99a057,
    0x8e1caf80, 0x3a6ceb96,
  0x8e05c6b7, 0x3a402dd2, 0x8deeef82, 0x3a136712, 0x8dd829e4, 0x39e6975e,
    0x8dc175e0, 0x39b9bebc,
  0x8daad37b, 0x398cdd32, 0x8d9442b8, 0x395ff2c9, 0x8d7dc399, 0x3932ff87,
    0x8d675623, 0x39060373,
  0x8d50fa59, 0x38d8fe93, 0x8d3ab03f, 0x38abf0ef, 0x8d2477d8, 0x387eda8e,
    0x8d0e5127, 0x3851bb77,
  0x8cf83c30, 0x382493b0, 0x8ce238f6, 0x37f76341, 0x8ccc477d, 0x37ca2a30,
    0x8cb667c8, 0x379ce885,
  0x8ca099da, 0x376f9e46, 0x8c8addb7, 0x37424b7b, 0x8c753362, 0x3714f02a,
    0x8c5f9ade, 0x36e78c5b,
  0x8c4a142f, 0x36ba2014, 0x8c349f58, 0x368cab5c, 0x8c1f3c5d, 0x365f2e3b,
    0x8c09eb40, 0x3631a8b8,
  0x8bf4ac05, 0x36041ad9, 0x8bdf7eb0, 0x35d684a6, 0x8bca6343, 0x35a8e625,
    0x8bb559c1, 0x357b3f5d,
  0x8ba0622f, 0x354d9057, 0x8b8b7c8f, 0x351fd918, 0x8b76a8e4, 0x34f219a8,
    0x8b61e733, 0x34c4520d,
  0x8b4d377c, 0x34968250, 0x8b3899c6, 0x3468aa76, 0x8b240e11, 0x343aca87,
    0x8b0f9462, 0x340ce28b,
  0x8afb2cbb, 0x33def287, 0x8ae6d720, 0x33b0fa84, 0x8ad29394, 0x3382fa88,
    0x8abe6219, 0x3354f29b,
  0x8aaa42b4, 0x3326e2c3, 0x8a963567, 0x32f8cb07, 0x8a823a36, 0x32caab6f,
    0x8a6e5123, 0x329c8402,
  0x8a5a7a31, 0x326e54c7, 0x8a46b564, 0x32401dc6, 0x8a3302be, 0x3211df04,
    0x8a1f6243, 0x31e39889,
  0x8a0bd3f5, 0x31b54a5e, 0x89f857d8, 0x3186f487, 0x89e4edef, 0x3158970e,
    0x89d1963c, 0x312a31f8,
  0x89be50c3, 0x30fbc54d, 0x89ab1d87, 0x30cd5115, 0x8997fc8a, 0x309ed556,
    0x8984edcf, 0x30705217,
  0x8971f15a, 0x3041c761, 0x895f072e, 0x30133539, 0x894c2f4c, 0x2fe49ba7,
    0x893969b9, 0x2fb5fab2,
  0x8926b677, 0x2f875262, 0x89141589, 0x2f58a2be, 0x890186f2, 0x2f29ebcc,
    0x88ef0ab4, 0x2efb2d95,
  0x88dca0d3, 0x2ecc681e, 0x88ca4951, 0x2e9d9b70, 0x88b80432, 0x2e6ec792,
    0x88a5d177, 0x2e3fec8b,
  0x8893b125, 0x2e110a62, 0x8881a33d, 0x2de2211e, 0x886fa7c2, 0x2db330c7,
    0x885dbeb8, 0x2d843964,
  0x884be821, 0x2d553afc, 0x883a23ff, 0x2d263596, 0x88287256, 0x2cf72939,
    0x8816d327, 0x2cc815ee,
  0x88054677, 0x2c98fbba, 0x87f3cc48, 0x2c69daa6, 0x87e2649b, 0x2c3ab2b9,
    0x87d10f75, 0x2c0b83fa,
  0x87bfccd7, 0x2bdc4e6f, 0x87ae9cc5, 0x2bad1221, 0x879d7f41, 0x2b7dcf17,
    0x878c744d, 0x2b4e8558,
  0x877b7bec, 0x2b1f34eb, 0x876a9621, 0x2aefddd8, 0x8759c2ef, 0x2ac08026,
    0x87490258, 0x2a911bdc,
  0x8738545e, 0x2a61b101, 0x8727b905, 0x2a323f9e, 0x8717304e, 0x2a02c7b8,
    0x8706ba3d, 0x29d34958,
  0x86f656d3, 0x29a3c485, 0x86e60614, 0x29743946, 0x86d5c802, 0x2944a7a2,
    0x86c59c9f, 0x29150fa1,
  0x86b583ee, 0x28e5714b, 0x86a57df2, 0x28b5cca5, 0x86958aac, 0x288621b9,
    0x8685aa20, 0x2856708d,
  0x8675dc4f, 0x2826b928, 0x8666213c, 0x27f6fb92, 0x865678eb, 0x27c737d3,
    0x8646e35c, 0x27976df1,
  0x86376092, 0x27679df4, 0x8627f091, 0x2737c7e3, 0x86189359, 0x2707ebc7,
    0x860948ef, 0x26d809a5,
  0x85fa1153, 0x26a82186, 0x85eaec88, 0x26783370, 0x85dbda91, 0x26483f6c,
    0x85ccdb70, 0x26184581,
  0x85bdef28, 0x25e845b6, 0x85af15b9, 0x25b84012, 0x85a04f28, 0x2588349d,
    0x85919b76, 0x2558235f,
  0x8582faa5, 0x25280c5e, 0x85746cb8, 0x24f7efa2, 0x8565f1b0, 0x24c7cd33,
    0x85578991, 0x2497a517,
  0x8549345c, 0x24677758, 0x853af214, 0x243743fa, 0x852cc2bb, 0x24070b08,
    0x851ea652, 0x23d6cc87,
  0x85109cdd, 0x23a6887f, 0x8502a65c, 0x23763ef7, 0x84f4c2d4, 0x2345eff8,
    0x84e6f244, 0x23159b88,
  0x84d934b1, 0x22e541af, 0x84cb8a1b, 0x22b4e274, 0x84bdf286, 0x22847de0,
    0x84b06df2, 0x225413f8,
  0x84a2fc62, 0x2223a4c5, 0x84959dd9, 0x21f3304f, 0x84885258, 0x21c2b69c,
    0x847b19e1, 0x219237b5,
  0x846df477, 0x2161b3a0, 0x8460e21a, 0x21312a65, 0x8453e2cf, 0x21009c0c,
    0x8446f695, 0x20d0089c,
  0x843a1d70, 0x209f701c, 0x842d5762, 0x206ed295, 0x8420a46c, 0x203e300d,
    0x84140490, 0x200d888d,
  0x840777d0, 0x1fdcdc1b, 0x83fafe2e, 0x1fac2abf, 0x83ee97ad, 0x1f7b7481,
    0x83e2444d, 0x1f4ab968,
  0x83d60412, 0x1f19f97b, 0x83c9d6fc, 0x1ee934c3, 0x83bdbd0e, 0x1eb86b46,
    0x83b1b649, 0x1e879d0d,
  0x83a5c2b0, 0x1e56ca1e, 0x8399e244, 0x1e25f282, 0x838e1507, 0x1df5163f,
    0x83825afb, 0x1dc4355e,
  0x8376b422, 0x1d934fe5, 0x836b207d, 0x1d6265dd, 0x835fa00f, 0x1d31774d,
    0x835432d8, 0x1d00843d,
  0x8348d8dc, 0x1ccf8cb3, 0x833d921b, 0x1c9e90b8, 0x83325e97, 0x1c6d9053,
    0x83273e52, 0x1c3c8b8c,
  0x831c314e, 0x1c0b826a, 0x8311378d, 0x1bda74f6, 0x83065110, 0x1ba96335,
    0x82fb7dd8, 0x1b784d30,
  0x82f0bde8, 0x1b4732ef, 0x82e61141, 0x1b161479, 0x82db77e5, 0x1ae4f1d6,
    0x82d0f1d5, 0x1ab3cb0d,
  0x82c67f14, 0x1a82a026, 0x82bc1fa2, 0x1a517128, 0x82b1d381, 0x1a203e1b,
    0x82a79ab3, 0x19ef0707,
  0x829d753a, 0x19bdcbf3, 0x82936317, 0x198c8ce7, 0x8289644b, 0x195b49ea,
    0x827f78d8, 0x192a0304,
  0x8275a0c0, 0x18f8b83c, 0x826bdc04, 0x18c7699b, 0x82622aa6, 0x18961728,
    0x82588ca7, 0x1864c0ea,
  0x824f0208, 0x183366e9, 0x82458acc, 0x1802092c, 0x823c26f3, 0x17d0a7bc,
    0x8232d67f, 0x179f429f,
  0x82299971, 0x176dd9de, 0x82206fcc, 0x173c6d80, 0x82175990, 0x170afd8d,
    0x820e56be, 0x16d98a0c,
  0x82056758, 0x16a81305, 0x81fc8b60, 0x1676987f, 0x81f3c2d7, 0x16451a83,
    0x81eb0dbe, 0x16139918,
  0x81e26c16, 0x15e21445, 0x81d9dde1, 0x15b08c12, 0x81d16321, 0x157f0086,
    0x81c8fbd6, 0x154d71aa,
  0x81c0a801, 0x151bdf86, 0x81b867a5, 0x14ea4a1f, 0x81b03ac2, 0x14b8b17f,
    0x81a82159, 0x148715ae,
  0x81a01b6d, 0x145576b1, 0x819828fd, 0x1423d492, 0x81904a0c, 0x13f22f58,
    0x81887e9a, 0x13c0870a,
  0x8180c6a9, 0x138edbb1, 0x8179223a, 0x135d2d53, 0x8171914e, 0x132b7bf9,
    0x816a13e6, 0x12f9c7aa,
  0x8162aa04, 0x12c8106f, 0x815b53a8, 0x1296564d, 0x815410d4, 0x1264994e,
    0x814ce188, 0x1232d979,
  0x8145c5c7, 0x120116d5, 0x813ebd90, 0x11cf516a, 0x8137c8e6, 0x119d8941,
    0x8130e7c9, 0x116bbe60,
  0x812a1a3a, 0x1139f0cf, 0x8123603a, 0x11082096, 0x811cb9ca, 0x10d64dbd,
    0x811626ec, 0x10a4784b,
  0x810fa7a0, 0x1072a048, 0x81093be8, 0x1040c5bb, 0x8102e3c4, 0x100ee8ad,
    0x80fc9f35, 0xfdd0926,
  0x80f66e3c, 0xfab272b, 0x80f050db, 0xf7942c7, 0x80ea4712, 0xf475bff,
    0x80e450e2, 0xf1572dc,
  0x80de6e4c, 0xee38766, 0x80d89f51, 0xeb199a4, 0x80d2e3f2, 0xe7fa99e,
    0x80cd3c2f, 0xe4db75b,
  0x80c7a80a, 0xe1bc2e4, 0x80c22784, 0xde9cc40, 0x80bcba9d, 0xdb7d376,
    0x80b76156, 0xd85d88f,
  0x80b21baf, 0xd53db92, 0x80ace9ab, 0xd21dc87, 0x80a7cb49, 0xcefdb76,
    0x80a2c08b, 0xcbdd865,
  0x809dc971, 0xc8bd35e, 0x8098e5fb, 0xc59cc68, 0x8094162c, 0xc27c389,
    0x808f5a02, 0xbf5b8cb,
  0x808ab180, 0xbc3ac35, 0x80861ca6, 0xb919dcf, 0x80819b74, 0xb5f8d9f,
    0x807d2dec, 0xb2d7baf,
  0x8078d40d, 0xafb6805, 0x80748dd9, 0xac952aa, 0x80705b50, 0xa973ba5,
    0x806c3c74, 0xa6522fe,
  0x80683143, 0xa3308bd, 0x806439c0, 0xa00ece8, 0x806055eb, 0x9cecf89,
    0x805c85c4, 0x99cb0a7,
  0x8058c94c, 0x96a9049, 0x80552084, 0x9386e78, 0x80518b6b, 0x9064b3a,
    0x804e0a04, 0x8d42699,
  0x804a9c4d, 0x8a2009a, 0x80474248, 0x86fd947, 0x8043fbf6, 0x83db0a7,
    0x8040c956, 0x80b86c2,
  0x803daa6a, 0x7d95b9e, 0x803a9f31, 0x7a72f45, 0x8037a7ac, 0x77501be,
    0x8034c3dd, 0x742d311,
  0x8031f3c2, 0x710a345, 0x802f375d, 0x6de7262, 0x802c8ead, 0x6ac406f,
    0x8029f9b4, 0x67a0d76,
  0x80277872, 0x647d97c, 0x80250ae7, 0x615a48b, 0x8022b114, 0x5e36ea9,
    0x80206af8, 0x5b137df,
  0x801e3895, 0x57f0035, 0x801c19ea, 0x54cc7b1, 0x801a0ef8, 0x51a8e5c,
    0x801817bf, 0x4e8543e,
  0x80163440, 0x4b6195d, 0x8014647b, 0x483ddc3, 0x8012a86f, 0x451a177,
    0x8011001f, 0x41f6480,
  0x800f6b88, 0x3ed26e6, 0x800deaad, 0x3bae8b2, 0x800c7d8c, 0x388a9ea,
    0x800b2427, 0x3566a96,
  0x8009de7e, 0x3242abf, 0x8008ac90, 0x2f1ea6c, 0x80078e5e, 0x2bfa9a4,
    0x800683e8, 0x28d6870,
  0x80058d2f, 0x25b26d7, 0x8004aa32, 0x228e4e2, 0x8003daf1, 0x1f6a297,
    0x80031f6d, 0x1c45ffe,
  0x800277a6, 0x1921d20, 0x8001e39b, 0x15fda03, 0x8001634e, 0x12d96b1,
    0x8000f6bd, 0xfb5330,
  0x80009dea, 0xc90f88, 0x800058d4, 0x96cbc1, 0x8000277a, 0x6487e3,
    0x800009df, 0x3243f5,
  0x80000000, 0x0, 0x800009df, 0xffcdbc0b, 0x8000277a, 0xff9b781d, 0x800058d4,
    0xff69343f,
  0x80009dea, 0xff36f078, 0x8000f6bd, 0xff04acd0, 0x8001634e, 0xfed2694f,
    0x8001e39b, 0xfea025fd,
  0x800277a6, 0xfe6de2e0, 0x80031f6d, 0xfe3ba002, 0x8003daf1, 0xfe095d69,
    0x8004aa32, 0xfdd71b1e,
  0x80058d2f, 0xfda4d929, 0x800683e8, 0xfd729790, 0x80078e5e, 0xfd40565c,
    0x8008ac90, 0xfd0e1594,
  0x8009de7e, 0xfcdbd541, 0x800b2427, 0xfca9956a, 0x800c7d8c, 0xfc775616,
    0x800deaad, 0xfc45174e,
  0x800f6b88, 0xfc12d91a, 0x8011001f, 0xfbe09b80, 0x8012a86f, 0xfbae5e89,
    0x8014647b, 0xfb7c223d,
  0x80163440, 0xfb49e6a3, 0x801817bf, 0xfb17abc2, 0x801a0ef8, 0xfae571a4,
    0x801c19ea, 0xfab3384f,
  0x801e3895, 0xfa80ffcb, 0x80206af8, 0xfa4ec821, 0x8022b114, 0xfa1c9157,
    0x80250ae7, 0xf9ea5b75,
  0x80277872, 0xf9b82684, 0x8029f9b4, 0xf985f28a, 0x802c8ead, 0xf953bf91,
    0x802f375d, 0xf9218d9e,
  0x8031f3c2, 0xf8ef5cbb, 0x8034c3dd, 0xf8bd2cef, 0x8037a7ac, 0xf88afe42,
    0x803a9f31, 0xf858d0bb,
  0x803daa6a, 0xf826a462, 0x8040c956, 0xf7f4793e, 0x8043fbf6, 0xf7c24f59,
    0x80474248, 0xf79026b9,
  0x804a9c4d, 0xf75dff66, 0x804e0a04, 0xf72bd967, 0x80518b6b, 0xf6f9b4c6,
    0x80552084, 0xf6c79188,
  0x8058c94c, 0xf6956fb7, 0x805c85c4, 0xf6634f59, 0x806055eb, 0xf6313077,
    0x806439c0, 0xf5ff1318,
  0x80683143, 0xf5ccf743, 0x806c3c74, 0xf59add02, 0x80705b50, 0xf568c45b,
    0x80748dd9, 0xf536ad56,
  0x8078d40d, 0xf50497fb, 0x807d2dec, 0xf4d28451, 0x80819b74, 0xf4a07261,
    0x80861ca6, 0xf46e6231,
  0x808ab180, 0xf43c53cb, 0x808f5a02, 0xf40a4735, 0x8094162c, 0xf3d83c77,
    0x8098e5fb, 0xf3a63398,
  0x809dc971, 0xf3742ca2, 0x80a2c08b, 0xf342279b, 0x80a7cb49, 0xf310248a,
    0x80ace9ab, 0xf2de2379,
  0x80b21baf, 0xf2ac246e, 0x80b76156, 0xf27a2771, 0x80bcba9d, 0xf2482c8a,
    0x80c22784, 0xf21633c0,
  0x80c7a80a, 0xf1e43d1c, 0x80cd3c2f, 0xf1b248a5, 0x80d2e3f2, 0xf1805662,
    0x80d89f51, 0xf14e665c,
  0x80de6e4c, 0xf11c789a, 0x80e450e2, 0xf0ea8d24, 0x80ea4712, 0xf0b8a401,
    0x80f050db, 0xf086bd39,
  0x80f66e3c, 0xf054d8d5, 0x80fc9f35, 0xf022f6da, 0x8102e3c4, 0xeff11753,
    0x81093be8, 0xefbf3a45,
  0x810fa7a0, 0xef8d5fb8, 0x811626ec, 0xef5b87b5, 0x811cb9ca, 0xef29b243,
    0x8123603a, 0xeef7df6a,
  0x812a1a3a, 0xeec60f31, 0x8130e7c9, 0xee9441a0, 0x8137c8e6, 0xee6276bf,
    0x813ebd90, 0xee30ae96,
  0x8145c5c7, 0xedfee92b, 0x814ce188, 0xedcd2687, 0x815410d4, 0xed9b66b2,
    0x815b53a8, 0xed69a9b3,
  0x8162aa04, 0xed37ef91, 0x816a13e6, 0xed063856, 0x8171914e, 0xecd48407,
    0x8179223a, 0xeca2d2ad,
  0x8180c6a9, 0xec71244f, 0x81887e9a, 0xec3f78f6, 0x81904a0c, 0xec0dd0a8,
    0x819828fd, 0xebdc2b6e,
  0x81a01b6d, 0xebaa894f, 0x81a82159, 0xeb78ea52, 0x81b03ac2, 0xeb474e81,
    0x81b867a5, 0xeb15b5e1,
  0x81c0a801, 0xeae4207a, 0x81c8fbd6, 0xeab28e56, 0x81d16321, 0xea80ff7a,
    0x81d9dde1, 0xea4f73ee,
  0x81e26c16, 0xea1debbb, 0x81eb0dbe, 0xe9ec66e8, 0x81f3c2d7, 0xe9bae57d,
    0x81fc8b60, 0xe9896781,
  0x82056758, 0xe957ecfb, 0x820e56be, 0xe92675f4, 0x82175990, 0xe8f50273,
    0x82206fcc, 0xe8c39280,
  0x82299971, 0xe8922622, 0x8232d67f, 0xe860bd61, 0x823c26f3, 0xe82f5844,
    0x82458acc, 0xe7fdf6d4,
  0x824f0208, 0xe7cc9917, 0x82588ca7, 0xe79b3f16, 0x82622aa6, 0xe769e8d8,
    0x826bdc04, 0xe7389665,
  0x8275a0c0, 0xe70747c4, 0x827f78d8, 0xe6d5fcfc, 0x8289644b, 0xe6a4b616,
    0x82936317, 0xe6737319,
  0x829d753a, 0xe642340d, 0x82a79ab3, 0xe610f8f9, 0x82b1d381, 0xe5dfc1e5,
    0x82bc1fa2, 0xe5ae8ed8,
  0x82c67f14, 0xe57d5fda, 0x82d0f1d5, 0xe54c34f3, 0x82db77e5, 0xe51b0e2a,
    0x82e61141, 0xe4e9eb87,
  0x82f0bde8, 0xe4b8cd11, 0x82fb7dd8, 0xe487b2d0, 0x83065110, 0xe4569ccb,
    0x8311378d, 0xe4258b0a,
  0x831c314e, 0xe3f47d96, 0x83273e52, 0xe3c37474, 0x83325e97, 0xe3926fad,
    0x833d921b, 0xe3616f48,
  0x8348d8dc, 0xe330734d, 0x835432d8, 0xe2ff7bc3, 0x835fa00f, 0xe2ce88b3,
    0x836b207d, 0xe29d9a23,
  0x8376b422, 0xe26cb01b, 0x83825afb, 0xe23bcaa2, 0x838e1507, 0xe20ae9c1,
    0x8399e244, 0xe1da0d7e,
  0x83a5c2b0, 0xe1a935e2, 0x83b1b649, 0xe17862f3, 0x83bdbd0e, 0xe14794ba,
    0x83c9d6fc, 0xe116cb3d,
  0x83d60412, 0xe0e60685, 0x83e2444d, 0xe0b54698, 0x83ee97ad, 0xe0848b7f,
    0x83fafe2e, 0xe053d541,
  0x840777d0, 0xe02323e5, 0x84140490, 0xdff27773, 0x8420a46c, 0xdfc1cff3,
    0x842d5762, 0xdf912d6b,
  0x843a1d70, 0xdf608fe4, 0x8446f695, 0xdf2ff764, 0x8453e2cf, 0xdeff63f4,
    0x8460e21a, 0xdeced59b,
  0x846df477, 0xde9e4c60, 0x847b19e1, 0xde6dc84b, 0x84885258, 0xde3d4964,
    0x84959dd9, 0xde0ccfb1,
  0x84a2fc62, 0xdddc5b3b, 0x84b06df2, 0xddabec08, 0x84bdf286, 0xdd7b8220,
    0x84cb8a1b, 0xdd4b1d8c,
  0x84d934b1, 0xdd1abe51, 0x84e6f244, 0xdcea6478, 0x84f4c2d4, 0xdcba1008,
    0x8502a65c, 0xdc89c109,
  0x85109cdd, 0xdc597781, 0x851ea652, 0xdc293379, 0x852cc2bb, 0xdbf8f4f8,
    0x853af214, 0xdbc8bc06,
  0x8549345c, 0xdb9888a8, 0x85578991, 0xdb685ae9, 0x8565f1b0, 0xdb3832cd,
    0x85746cb8, 0xdb08105e,
  0x8582faa5, 0xdad7f3a2, 0x85919b76, 0xdaa7dca1, 0x85a04f28, 0xda77cb63,
    0x85af15b9, 0xda47bfee,
  0x85bdef28, 0xda17ba4a, 0x85ccdb70, 0xd9e7ba7f, 0x85dbda91, 0xd9b7c094,
    0x85eaec88, 0xd987cc90,
  0x85fa1153, 0xd957de7a, 0x860948ef, 0xd927f65b, 0x86189359, 0xd8f81439,
    0x8627f091, 0xd8c8381d,
  0x86376092, 0xd898620c, 0x8646e35c, 0xd868920f, 0x865678eb, 0xd838c82d,
    0x8666213c, 0xd809046e,
  0x8675dc4f, 0xd7d946d8, 0x8685aa20, 0xd7a98f73, 0x86958aac, 0xd779de47,
    0x86a57df2, 0xd74a335b,
  0x86b583ee, 0xd71a8eb5, 0x86c59c9f, 0xd6eaf05f, 0x86d5c802, 0xd6bb585e,
    0x86e60614, 0xd68bc6ba,
  0x86f656d3, 0xd65c3b7b, 0x8706ba3d, 0xd62cb6a8, 0x8717304e, 0xd5fd3848,
    0x8727b905, 0xd5cdc062,
  0x8738545e, 0xd59e4eff, 0x87490258, 0xd56ee424, 0x8759c2ef, 0xd53f7fda,
    0x876a9621, 0xd5102228,
  0x877b7bec, 0xd4e0cb15, 0x878c744d, 0xd4b17aa8, 0x879d7f41, 0xd48230e9,
    0x87ae9cc5, 0xd452eddf,
  0x87bfccd7, 0xd423b191, 0x87d10f75, 0xd3f47c06, 0x87e2649b, 0xd3c54d47,
    0x87f3cc48, 0xd396255a,
  0x88054677, 0xd3670446, 0x8816d327, 0xd337ea12, 0x88287256, 0xd308d6c7,
    0x883a23ff, 0xd2d9ca6a,
  0x884be821, 0xd2aac504, 0x885dbeb8, 0xd27bc69c, 0x886fa7c2, 0xd24ccf39,
    0x8881a33d, 0xd21ddee2,
  0x8893b125, 0xd1eef59e, 0x88a5d177, 0xd1c01375, 0x88b80432, 0xd191386e,
    0x88ca4951, 0xd1626490,
  0x88dca0d3, 0xd13397e2, 0x88ef0ab4, 0xd104d26b, 0x890186f2, 0xd0d61434,
    0x89141589, 0xd0a75d42,
  0x8926b677, 0xd078ad9e, 0x893969b9, 0xd04a054e, 0x894c2f4c, 0xd01b6459,
    0x895f072e, 0xcfeccac7,
  0x8971f15a, 0xcfbe389f, 0x8984edcf, 0xcf8fade9, 0x8997fc8a, 0xcf612aaa,
    0x89ab1d87, 0xcf32aeeb,
  0x89be50c3, 0xcf043ab3, 0x89d1963c, 0xced5ce08, 0x89e4edef, 0xcea768f2,
    0x89f857d8, 0xce790b79,
  0x8a0bd3f5, 0xce4ab5a2, 0x8a1f6243, 0xce1c6777, 0x8a3302be, 0xcdee20fc,
    0x8a46b564, 0xcdbfe23a,
  0x8a5a7a31, 0xcd91ab39, 0x8a6e5123, 0xcd637bfe, 0x8a823a36, 0xcd355491,
    0x8a963567, 0xcd0734f9,
  0x8aaa42b4, 0xccd91d3d, 0x8abe6219, 0xccab0d65, 0x8ad29394, 0xcc7d0578,
    0x8ae6d720, 0xcc4f057c,
  0x8afb2cbb, 0xcc210d79, 0x8b0f9462, 0xcbf31d75, 0x8b240e11, 0xcbc53579,
    0x8b3899c6, 0xcb97558a,
  0x8b4d377c, 0xcb697db0, 0x8b61e733, 0xcb3badf3, 0x8b76a8e4, 0xcb0de658,
    0x8b8b7c8f, 0xcae026e8,
  0x8ba0622f, 0xcab26fa9, 0x8bb559c1, 0xca84c0a3, 0x8bca6343, 0xca5719db,
    0x8bdf7eb0, 0xca297b5a,
  0x8bf4ac05, 0xc9fbe527, 0x8c09eb40, 0xc9ce5748, 0x8c1f3c5d, 0xc9a0d1c5,
    0x8c349f58, 0xc97354a4,
  0x8c4a142f, 0xc945dfec, 0x8c5f9ade, 0xc91873a5, 0x8c753362, 0xc8eb0fd6,
    0x8c8addb7, 0xc8bdb485,
  0x8ca099da, 0xc89061ba, 0x8cb667c8, 0xc863177b, 0x8ccc477d, 0xc835d5d0,
    0x8ce238f6, 0xc8089cbf,
  0x8cf83c30, 0xc7db6c50, 0x8d0e5127, 0xc7ae4489, 0x8d2477d8, 0xc7812572,
    0x8d3ab03f, 0xc7540f11,
  0x8d50fa59, 0xc727016d, 0x8d675623, 0xc6f9fc8d, 0x8d7dc399, 0xc6cd0079,
    0x8d9442b8, 0xc6a00d37,
  0x8daad37b, 0xc67322ce, 0x8dc175e0, 0xc6464144, 0x8dd829e4, 0xc61968a2,
    0x8deeef82, 0xc5ec98ee,
  0x8e05c6b7, 0xc5bfd22e, 0x8e1caf80, 0xc593146a, 0x8e33a9da, 0xc5665fa9,
    0x8e4ab5bf, 0xc539b3f1,
  0x8e61d32e, 0xc50d1149, 0x8e790222, 0xc4e077b8, 0x8e904298, 0xc4b3e746,
    0x8ea7948c, 0xc4875ff9,
  0x8ebef7fb, 0xc45ae1d7, 0x8ed66ce1, 0xc42e6ce8, 0x8eedf33b, 0xc4020133,
    0x8f058b04, 0xc3d59ebe,
  0x8f1d343a, 0xc3a94590, 0x8f34eed8, 0xc37cf5b0, 0x8f4cbadb, 0xc350af26,
    0x8f649840, 0xc32471f7,
  0x8f7c8701, 0xc2f83e2a, 0x8f94871d, 0xc2cc13c7, 0x8fac988f, 0xc29ff2d4,
    0x8fc4bb53, 0xc273db58,
  0x8fdcef66, 0xc247cd5a, 0x8ff534c4, 0xc21bc8e1, 0x900d8b69, 0xc1efcdf3,
    0x9025f352, 0xc1c3dc97,
  0x903e6c7b, 0xc197f4d4, 0x9056f6df, 0xc16c16b0, 0x906f927c, 0xc1404233,
    0x90883f4d, 0xc1147764,
  0x90a0fd4e, 0xc0e8b648, 0x90b9cc7d, 0xc0bcfee7, 0x90d2acd4, 0xc0915148,
    0x90eb9e50, 0xc065ad70,
  0x9104a0ee, 0xc03a1368, 0x911db4a9, 0xc00e8336, 0x9136d97d, 0xbfe2fcdf,
    0x91500f67, 0xbfb7806c,
  0x91695663, 0xbf8c0de3, 0x9182ae6d, 0xbf60a54a, 0x919c1781, 0xbf3546a8,
    0x91b5919a, 0xbf09f205,
  0x91cf1cb6, 0xbedea765, 0x91e8b8d0, 0xbeb366d1, 0x920265e4, 0xbe88304f,
    0x921c23ef, 0xbe5d03e6,
  0x9235f2ec, 0xbe31e19b, 0x924fd2d7, 0xbe06c977, 0x9269c3ac, 0xbddbbb7f,
    0x9283c568, 0xbdb0b7bb,
  0x929dd806, 0xbd85be30, 0x92b7fb82, 0xbd5acee5, 0x92d22fd9, 0xbd2fe9e2,
    0x92ec7505, 0xbd050f2c,
  0x9306cb04, 0xbcda3ecb, 0x932131d1, 0xbcaf78c4, 0x933ba968, 0xbc84bd1f,
    0x935631c5, 0xbc5a0be2,
  0x9370cae4, 0xbc2f6513, 0x938b74c1, 0xbc04c8ba, 0x93a62f57, 0xbbda36dd,
    0x93c0faa3, 0xbbafaf82,
  0x93dbd6a0, 0xbb8532b0, 0x93f6c34a, 0xbb5ac06d, 0x9411c09e, 0xbb3058c0,
    0x942cce96, 0xbb05fbb0,
  0x9447ed2f, 0xbadba943, 0x94631c65, 0xbab16180, 0x947e5c33, 0xba87246d,
    0x9499ac95, 0xba5cf210,
  0x94b50d87, 0xba32ca71, 0x94d07f05, 0xba08ad95, 0x94ec010b, 0xb9de9b83,
    0x95079394, 0xb9b49442,
  0x9523369c, 0xb98a97d8, 0x953eea1e, 0xb960a64c, 0x955aae17, 0xb936bfa4,
    0x95768283, 0xb90ce3e6,
  0x9592675c, 0xb8e31319, 0x95ae5c9f, 0xb8b94d44, 0x95ca6247, 0xb88f926d,
    0x95e67850, 0xb865e299,
  0x96029eb6, 0xb83c3dd1, 0x961ed574, 0xb812a41a, 0x963b1c86, 0xb7e9157a,
    0x965773e7, 0xb7bf91f8,
  0x9673db94, 0xb796199b, 0x96905388, 0xb76cac69, 0x96acdbbe, 0xb7434a67,
    0x96c97432, 0xb719f39e,
  0x96e61ce0, 0xb6f0a812, 0x9702d5c3, 0xb6c767ca, 0x971f9ed7, 0xb69e32cd,
    0x973c7817, 0xb6750921,
  0x9759617f, 0xb64beacd, 0x97765b0a, 0xb622d7d6, 0x979364b5, 0xb5f9d043,
    0x97b07e7a, 0xb5d0d41a,
  0x97cda855, 0xb5a7e362, 0x97eae242, 0xb57efe22, 0x98082c3b, 0xb556245e,
    0x9825863d, 0xb52d561e,
  0x9842f043, 0xb5049368, 0x98606a49, 0xb4dbdc42, 0x987df449, 0xb4b330b3,
    0x989b8e40, 0xb48a90c0,
  0x98b93828, 0xb461fc70, 0x98d6f1fe, 0xb43973ca, 0x98f4bbbc, 0xb410f6d3,
    0x9912955f, 0xb3e88592,
  0x99307ee0, 0xb3c0200c, 0x994e783d, 0xb397c649, 0x996c816f, 0xb36f784f,
    0x998a9a74, 0xb3473623,
  0x99a8c345, 0xb31effcc, 0x99c6fbde, 0xb2f6d550, 0x99e5443b, 0xb2ceb6b5,
    0x9a039c57, 0xb2a6a402,
  0x9a22042d, 0xb27e9d3c, 0x9a407bb9, 0xb256a26a, 0x9a5f02f5, 0xb22eb392,
    0x9a7d99de, 0xb206d0ba,
  0x9a9c406e, 0xb1def9e9, 0x9abaf6a1, 0xb1b72f23, 0x9ad9bc71, 0xb18f7071,
    0x9af891db, 0xb167bdd7,
  0x9b1776da, 0xb140175b, 0x9b366b68, 0xb1187d05, 0x9b556f81, 0xb0f0eeda,
    0x9b748320, 0xb0c96ce0,
  0x9b93a641, 0xb0a1f71d, 0x9bb2d8de, 0xb07a8d97, 0x9bd21af3, 0xb0533055,
    0x9bf16c7a, 0xb02bdf5c,
  0x9c10cd70, 0xb0049ab3, 0x9c303dcf, 0xafdd625f, 0x9c4fbd93, 0xafb63667,
    0x9c6f4cb6, 0xaf8f16d1,
  0x9c8eeb34, 0xaf6803a2, 0x9cae9907, 0xaf40fce1, 0x9cce562c, 0xaf1a0293,
    0x9cee229c, 0xaef314c0,
  0x9d0dfe54, 0xaecc336c, 0x9d2de94d, 0xaea55e9e, 0x9d4de385, 0xae7e965b,
    0x9d6decf4, 0xae57daab,
  0x9d8e0597, 0xae312b92, 0x9dae2d68, 0xae0a8916, 0x9dce6463, 0xade3f33e,
    0x9deeaa82, 0xadbd6a10,
  0x9e0effc1, 0xad96ed92, 0x9e2f641b, 0xad707dc8, 0x9e4fd78a, 0xad4a1aba,
    0x9e705a09, 0xad23c46e,
  0x9e90eb94, 0xacfd7ae8, 0x9eb18c26, 0xacd73e30, 0x9ed23bb9, 0xacb10e4b,
    0x9ef2fa49, 0xac8aeb3e,
  0x9f13c7d0, 0xac64d510, 0x9f34a449, 0xac3ecbc7, 0x9f558fb0, 0xac18cf69,
    0x9f7689ff, 0xabf2dffb,
  0x9f979331, 0xabccfd83, 0x9fb8ab41, 0xaba72807, 0x9fd9d22a, 0xab815f8d,
    0x9ffb07e7, 0xab5ba41a,
  0xa01c4c73, 0xab35f5b5, 0xa03d9fc8, 0xab105464, 0xa05f01e1, 0xaaeac02c,
    0xa08072ba, 0xaac53912,
  0xa0a1f24d, 0xaa9fbf1e, 0xa0c38095, 0xaa7a5253, 0xa0e51d8c, 0xaa54f2ba,
    0xa106c92f, 0xaa2fa056,
  0xa1288376, 0xaa0a5b2e, 0xa14a4c5e, 0xa9e52347, 0xa16c23e1, 0xa9bff8a8,
    0xa18e09fa, 0xa99adb56,
  0xa1affea3, 0xa975cb57, 0xa1d201d7, 0xa950c8b0, 0xa1f41392, 0xa92bd367,
    0xa21633cd, 0xa906eb82,
  0xa2386284, 0xa8e21106, 0xa25a9fb1, 0xa8bd43fa, 0xa27ceb4f, 0xa8988463,
    0xa29f4559, 0xa873d246,
  0xa2c1adc9, 0xa84f2daa, 0xa2e4249b, 0xa82a9693, 0xa306a9c8, 0xa8060d08,
    0xa3293d4b, 0xa7e1910f,
  0xa34bdf20, 0xa7bd22ac, 0xa36e8f41, 0xa798c1e5, 0xa3914da8, 0xa7746ec0,
    0xa3b41a50, 0xa7502943,
  0xa3d6f534, 0xa72bf174, 0xa3f9de4e, 0xa707c757, 0xa41cd599, 0xa6e3aaf2,
    0xa43fdb10, 0xa6bf9c4b,
  0xa462eeac, 0xa69b9b68, 0xa486106a, 0xa677a84e, 0xa4a94043, 0xa653c303,
    0xa4cc7e32, 0xa62feb8b,
  0xa4efca31, 0xa60c21ee, 0xa513243b, 0xa5e8662f, 0xa5368c4b, 0xa5c4b855,
    0xa55a025b, 0xa5a11866,
  0xa57d8666, 0xa57d8666, 0xa5a11866, 0xa55a025b, 0xa5c4b855, 0xa5368c4b,
    0xa5e8662f, 0xa513243b,
  0xa60c21ee, 0xa4efca31, 0xa62feb8b, 0xa4cc7e32, 0xa653c303, 0xa4a94043,
    0xa677a84e, 0xa486106a,
  0xa69b9b68, 0xa462eeac, 0xa6bf9c4b, 0xa43fdb10, 0xa6e3aaf2, 0xa41cd599,
    0xa707c757, 0xa3f9de4e,
  0xa72bf174, 0xa3d6f534, 0xa7502943, 0xa3b41a50, 0xa7746ec0, 0xa3914da8,
    0xa798c1e5, 0xa36e8f41,
  0xa7bd22ac, 0xa34bdf20, 0xa7e1910f, 0xa3293d4b, 0xa8060d08, 0xa306a9c8,
    0xa82a9693, 0xa2e4249b,
  0xa84f2daa, 0xa2c1adc9, 0xa873d246, 0xa29f4559, 0xa8988463, 0xa27ceb4f,
    0xa8bd43fa, 0xa25a9fb1,
  0xa8e21106, 0xa2386284, 0xa906eb82, 0xa21633cd, 0xa92bd367, 0xa1f41392,
    0xa950c8b0, 0xa1d201d7,
  0xa975cb57, 0xa1affea3, 0xa99adb56, 0xa18e09fa, 0xa9bff8a8, 0xa16c23e1,
    0xa9e52347, 0xa14a4c5e,
  0xaa0a5b2e, 0xa1288376, 0xaa2fa056, 0xa106c92f, 0xaa54f2ba, 0xa0e51d8c,
    0xaa7a5253, 0xa0c38095,
  0xaa9fbf1e, 0xa0a1f24d, 0xaac53912, 0xa08072ba, 0xaaeac02c, 0xa05f01e1,
    0xab105464, 0xa03d9fc8,
  0xab35f5b5, 0xa01c4c73, 0xab5ba41a, 0x9ffb07e7, 0xab815f8d, 0x9fd9d22a,
    0xaba72807, 0x9fb8ab41,
  0xabccfd83, 0x9f979331, 0xabf2dffb, 0x9f7689ff, 0xac18cf69, 0x9f558fb0,
    0xac3ecbc7, 0x9f34a449,
  0xac64d510, 0x9f13c7d0, 0xac8aeb3e, 0x9ef2fa49, 0xacb10e4b, 0x9ed23bb9,
    0xacd73e30, 0x9eb18c26,
  0xacfd7ae8, 0x9e90eb94, 0xad23c46e, 0x9e705a09, 0xad4a1aba, 0x9e4fd78a,
    0xad707dc8, 0x9e2f641b,
  0xad96ed92, 0x9e0effc1, 0xadbd6a10, 0x9deeaa82, 0xade3f33e, 0x9dce6463,
    0xae0a8916, 0x9dae2d68,
  0xae312b92, 0x9d8e0597, 0xae57daab, 0x9d6decf4, 0xae7e965b, 0x9d4de385,
    0xaea55e9e, 0x9d2de94d,
  0xaecc336c, 0x9d0dfe54, 0xaef314c0, 0x9cee229c, 0xaf1a0293, 0x9cce562c,
    0xaf40fce1, 0x9cae9907,
  0xaf6803a2, 0x9c8eeb34, 0xaf8f16d1, 0x9c6f4cb6, 0xafb63667, 0x9c4fbd93,
    0xafdd625f, 0x9c303dcf,
  0xb0049ab3, 0x9c10cd70, 0xb02bdf5c, 0x9bf16c7a, 0xb0533055, 0x9bd21af3,
    0xb07a8d97, 0x9bb2d8de,
  0xb0a1f71d, 0x9b93a641, 0xb0c96ce0, 0x9b748320, 0xb0f0eeda, 0x9b556f81,
    0xb1187d05, 0x9b366b68,
  0xb140175b, 0x9b1776da, 0xb167bdd7, 0x9af891db, 0xb18f7071, 0x9ad9bc71,
    0xb1b72f23, 0x9abaf6a1,
  0xb1def9e9, 0x9a9c406e, 0xb206d0ba, 0x9a7d99de, 0xb22eb392, 0x9a5f02f5,
    0xb256a26a, 0x9a407bb9,
  0xb27e9d3c, 0x9a22042d, 0xb2a6a402, 0x9a039c57, 0xb2ceb6b5, 0x99e5443b,
    0xb2f6d550, 0x99c6fbde,
  0xb31effcc, 0x99a8c345, 0xb3473623, 0x998a9a74, 0xb36f784f, 0x996c816f,
    0xb397c649, 0x994e783d,
  0xb3c0200c, 0x99307ee0, 0xb3e88592, 0x9912955f, 0xb410f6d3, 0x98f4bbbc,
    0xb43973ca, 0x98d6f1fe,
  0xb461fc70, 0x98b93828, 0xb48a90c0, 0x989b8e40, 0xb4b330b3, 0x987df449,
    0xb4dbdc42, 0x98606a49,
  0xb5049368, 0x9842f043, 0xb52d561e, 0x9825863d, 0xb556245e, 0x98082c3b,
    0xb57efe22, 0x97eae242,
  0xb5a7e362, 0x97cda855, 0xb5d0d41a, 0x97b07e7a, 0xb5f9d043, 0x979364b5,
    0xb622d7d6, 0x97765b0a,
  0xb64beacd, 0x9759617f, 0xb6750921, 0x973c7817, 0xb69e32cd, 0x971f9ed7,
    0xb6c767ca, 0x9702d5c3,
  0xb6f0a812, 0x96e61ce0, 0xb719f39e, 0x96c97432, 0xb7434a67, 0x96acdbbe,
    0xb76cac69, 0x96905388,
  0xb796199b, 0x9673db94, 0xb7bf91f8, 0x965773e7, 0xb7e9157a, 0x963b1c86,
    0xb812a41a, 0x961ed574,
  0xb83c3dd1, 0x96029eb6, 0xb865e299, 0x95e67850, 0xb88f926d, 0x95ca6247,
    0xb8b94d44, 0x95ae5c9f,
  0xb8e31319, 0x9592675c, 0xb90ce3e6, 0x95768283, 0xb936bfa4, 0x955aae17,
    0xb960a64c, 0x953eea1e,
  0xb98a97d8, 0x9523369c, 0xb9b49442, 0x95079394, 0xb9de9b83, 0x94ec010b,
    0xba08ad95, 0x94d07f05,
  0xba32ca71, 0x94b50d87, 0xba5cf210, 0x9499ac95, 0xba87246d, 0x947e5c33,
    0xbab16180, 0x94631c65,
  0xbadba943, 0x9447ed2f, 0xbb05fbb0, 0x942cce96, 0xbb3058c0, 0x9411c09e,
    0xbb5ac06d, 0x93f6c34a,
  0xbb8532b0, 0x93dbd6a0, 0xbbafaf82, 0x93c0faa3, 0xbbda36dd, 0x93a62f57,
    0xbc04c8ba, 0x938b74c1,
  0xbc2f6513, 0x9370cae4, 0xbc5a0be2, 0x935631c5, 0xbc84bd1f, 0x933ba968,
    0xbcaf78c4, 0x932131d1,
  0xbcda3ecb, 0x9306cb04, 0xbd050f2c, 0x92ec7505, 0xbd2fe9e2, 0x92d22fd9,
    0xbd5acee5, 0x92b7fb82,
  0xbd85be30, 0x929dd806, 0xbdb0b7bb, 0x9283c568, 0xbddbbb7f, 0x9269c3ac,
    0xbe06c977, 0x924fd2d7,
  0xbe31e19b, 0x9235f2ec, 0xbe5d03e6, 0x921c23ef, 0xbe88304f, 0x920265e4,
    0xbeb366d1, 0x91e8b8d0,
  0xbedea765, 0x91cf1cb6, 0xbf09f205, 0x91b5919a, 0xbf3546a8, 0x919c1781,
    0xbf60a54a, 0x9182ae6d,
  0xbf8c0de3, 0x91695663, 0xbfb7806c, 0x91500f67, 0xbfe2fcdf, 0x9136d97d,
    0xc00e8336, 0x911db4a9,
  0xc03a1368, 0x9104a0ee, 0xc065ad70, 0x90eb9e50, 0xc0915148, 0x90d2acd4,
    0xc0bcfee7, 0x90b9cc7d,
  0xc0e8b648, 0x90a0fd4e, 0xc1147764, 0x90883f4d, 0xc1404233, 0x906f927c,
    0xc16c16b0, 0x9056f6df,
  0xc197f4d4, 0x903e6c7b, 0xc1c3dc97, 0x9025f352, 0xc1efcdf3, 0x900d8b69,
    0xc21bc8e1, 0x8ff534c4,
  0xc247cd5a, 0x8fdcef66, 0xc273db58, 0x8fc4bb53, 0xc29ff2d4, 0x8fac988f,
    0xc2cc13c7, 0x8f94871d,
  0xc2f83e2a, 0x8f7c8701, 0xc32471f7, 0x8f649840, 0xc350af26, 0x8f4cbadb,
    0xc37cf5b0, 0x8f34eed8,
  0xc3a94590, 0x8f1d343a, 0xc3d59ebe, 0x8f058b04, 0xc4020133, 0x8eedf33b,
    0xc42e6ce8, 0x8ed66ce1,
  0xc45ae1d7, 0x8ebef7fb, 0xc4875ff9, 0x8ea7948c, 0xc4b3e746, 0x8e904298,
    0xc4e077b8, 0x8e790222,
  0xc50d1149, 0x8e61d32e, 0xc539b3f1, 0x8e4ab5bf, 0xc5665fa9, 0x8e33a9da,
    0xc593146a, 0x8e1caf80,
  0xc5bfd22e, 0x8e05c6b7, 0xc5ec98ee, 0x8deeef82, 0xc61968a2, 0x8dd829e4,
    0xc6464144, 0x8dc175e0,
  0xc67322ce, 0x8daad37b, 0xc6a00d37, 0x8d9442b8, 0xc6cd0079, 0x8d7dc399,
    0xc6f9fc8d, 0x8d675623,
  0xc727016d, 0x8d50fa59, 0xc7540f11, 0x8d3ab03f, 0xc7812572, 0x8d2477d8,
    0xc7ae4489, 0x8d0e5127,
  0xc7db6c50, 0x8cf83c30, 0xc8089cbf, 0x8ce238f6, 0xc835d5d0, 0x8ccc477d,
    0xc863177b, 0x8cb667c8,
  0xc89061ba, 0x8ca099da, 0xc8bdb485, 0x8c8addb7, 0xc8eb0fd6, 0x8c753362,
    0xc91873a5, 0x8c5f9ade,
  0xc945dfec, 0x8c4a142f, 0xc97354a4, 0x8c349f58, 0xc9a0d1c5, 0x8c1f3c5d,
    0xc9ce5748, 0x8c09eb40,
  0xc9fbe527, 0x8bf4ac05, 0xca297b5a, 0x8bdf7eb0, 0xca5719db, 0x8bca6343,
    0xca84c0a3, 0x8bb559c1,
  0xcab26fa9, 0x8ba0622f, 0xcae026e8, 0x8b8b7c8f, 0xcb0de658, 0x8b76a8e4,
    0xcb3badf3, 0x8b61e733,
  0xcb697db0, 0x8b4d377c, 0xcb97558a, 0x8b3899c6, 0xcbc53579, 0x8b240e11,
    0xcbf31d75, 0x8b0f9462,
  0xcc210d79, 0x8afb2cbb, 0xcc4f057c, 0x8ae6d720, 0xcc7d0578, 0x8ad29394,
    0xccab0d65, 0x8abe6219,
  0xccd91d3d, 0x8aaa42b4, 0xcd0734f9, 0x8a963567, 0xcd355491, 0x8a823a36,
    0xcd637bfe, 0x8a6e5123,
  0xcd91ab39, 0x8a5a7a31, 0xcdbfe23a, 0x8a46b564, 0xcdee20fc, 0x8a3302be,
    0xce1c6777, 0x8a1f6243,
  0xce4ab5a2, 0x8a0bd3f5, 0xce790b79, 0x89f857d8, 0xcea768f2, 0x89e4edef,
    0xced5ce08, 0x89d1963c,
  0xcf043ab3, 0x89be50c3, 0xcf32aeeb, 0x89ab1d87, 0xcf612aaa, 0x8997fc8a,
    0xcf8fade9, 0x8984edcf,
  0xcfbe389f, 0x8971f15a, 0xcfeccac7, 0x895f072e, 0xd01b6459, 0x894c2f4c,
    0xd04a054e, 0x893969b9,
  0xd078ad9e, 0x8926b677, 0xd0a75d42, 0x89141589, 0xd0d61434, 0x890186f2,
    0xd104d26b, 0x88ef0ab4,
  0xd13397e2, 0x88dca0d3, 0xd1626490, 0x88ca4951, 0xd191386e, 0x88b80432,
    0xd1c01375, 0x88a5d177,
  0xd1eef59e, 0x8893b125, 0xd21ddee2, 0x8881a33d, 0xd24ccf39, 0x886fa7c2,
    0xd27bc69c, 0x885dbeb8,
  0xd2aac504, 0x884be821, 0xd2d9ca6a, 0x883a23ff, 0xd308d6c7, 0x88287256,
    0xd337ea12, 0x8816d327,
  0xd3670446, 0x88054677, 0xd396255a, 0x87f3cc48, 0xd3c54d47, 0x87e2649b,
    0xd3f47c06, 0x87d10f75,
  0xd423b191, 0x87bfccd7, 0xd452eddf, 0x87ae9cc5, 0xd48230e9, 0x879d7f41,
    0xd4b17aa8, 0x878c744d,
  0xd4e0cb15, 0x877b7bec, 0xd5102228, 0x876a9621, 0xd53f7fda, 0x8759c2ef,
    0xd56ee424, 0x87490258,
  0xd59e4eff, 0x8738545e, 0xd5cdc062, 0x8727b905, 0xd5fd3848, 0x8717304e,
    0xd62cb6a8, 0x8706ba3d,
  0xd65c3b7b, 0x86f656d3, 0xd68bc6ba, 0x86e60614, 0xd6bb585e, 0x86d5c802,
    0xd6eaf05f, 0x86c59c9f,
  0xd71a8eb5, 0x86b583ee, 0xd74a335b, 0x86a57df2, 0xd779de47, 0x86958aac,
    0xd7a98f73, 0x8685aa20,
  0xd7d946d8, 0x8675dc4f, 0xd809046e, 0x8666213c, 0xd838c82d, 0x865678eb,
    0xd868920f, 0x8646e35c,
  0xd898620c, 0x86376092, 0xd8c8381d, 0x8627f091, 0xd8f81439, 0x86189359,
    0xd927f65b, 0x860948ef,
  0xd957de7a, 0x85fa1153, 0xd987cc90, 0x85eaec88, 0xd9b7c094, 0x85dbda91,
    0xd9e7ba7f, 0x85ccdb70,
  0xda17ba4a, 0x85bdef28, 0xda47bfee, 0x85af15b9, 0xda77cb63, 0x85a04f28,
    0xdaa7dca1, 0x85919b76,
  0xdad7f3a2, 0x8582faa5, 0xdb08105e, 0x85746cb8, 0xdb3832cd, 0x8565f1b0,
    0xdb685ae9, 0x85578991,
  0xdb9888a8, 0x8549345c, 0xdbc8bc06, 0x853af214, 0xdbf8f4f8, 0x852cc2bb,
    0xdc293379, 0x851ea652,
  0xdc597781, 0x85109cdd, 0xdc89c109, 0x8502a65c, 0xdcba1008, 0x84f4c2d4,
    0xdcea6478, 0x84e6f244,
  0xdd1abe51, 0x84d934b1, 0xdd4b1d8c, 0x84cb8a1b, 0xdd7b8220, 0x84bdf286,
    0xddabec08, 0x84b06df2,
  0xdddc5b3b, 0x84a2fc62, 0xde0ccfb1, 0x84959dd9, 0xde3d4964, 0x84885258,
    0xde6dc84b, 0x847b19e1,
  0xde9e4c60, 0x846df477, 0xdeced59b, 0x8460e21a, 0xdeff63f4, 0x8453e2cf,
    0xdf2ff764, 0x8446f695,
  0xdf608fe4, 0x843a1d70, 0xdf912d6b, 0x842d5762, 0xdfc1cff3, 0x8420a46c,
    0xdff27773, 0x84140490,
  0xe02323e5, 0x840777d0, 0xe053d541, 0x83fafe2e, 0xe0848b7f, 0x83ee97ad,
    0xe0b54698, 0x83e2444d,
  0xe0e60685, 0x83d60412, 0xe116cb3d, 0x83c9d6fc, 0xe14794ba, 0x83bdbd0e,
    0xe17862f3, 0x83b1b649,
  0xe1a935e2, 0x83a5c2b0, 0xe1da0d7e, 0x8399e244, 0xe20ae9c1, 0x838e1507,
    0xe23bcaa2, 0x83825afb,
  0xe26cb01b, 0x8376b422, 0xe29d9a23, 0x836b207d, 0xe2ce88b3, 0x835fa00f,
    0xe2ff7bc3, 0x835432d8,
  0xe330734d, 0x8348d8dc, 0xe3616f48, 0x833d921b, 0xe3926fad, 0x83325e97,
    0xe3c37474, 0x83273e52,
  0xe3f47d96, 0x831c314e, 0xe4258b0a, 0x8311378d, 0xe4569ccb, 0x83065110,
    0xe487b2d0, 0x82fb7dd8,
  0xe4b8cd11, 0x82f0bde8, 0xe4e9eb87, 0x82e61141, 0xe51b0e2a, 0x82db77e5,
    0xe54c34f3, 0x82d0f1d5,
  0xe57d5fda, 0x82c67f14, 0xe5ae8ed8, 0x82bc1fa2, 0xe5dfc1e5, 0x82b1d381,
    0xe610f8f9, 0x82a79ab3,
  0xe642340d, 0x829d753a, 0xe6737319, 0x82936317, 0xe6a4b616, 0x8289644b,
    0xe6d5fcfc, 0x827f78d8,
  0xe70747c4, 0x8275a0c0, 0xe7389665, 0x826bdc04, 0xe769e8d8, 0x82622aa6,
    0xe79b3f16, 0x82588ca7,
  0xe7cc9917, 0x824f0208, 0xe7fdf6d4, 0x82458acc, 0xe82f5844, 0x823c26f3,
    0xe860bd61, 0x8232d67f,
  0xe8922622, 0x82299971, 0xe8c39280, 0x82206fcc, 0xe8f50273, 0x82175990,
    0xe92675f4, 0x820e56be,
  0xe957ecfb, 0x82056758, 0xe9896781, 0x81fc8b60, 0xe9bae57d, 0x81f3c2d7,
    0xe9ec66e8, 0x81eb0dbe,
  0xea1debbb, 0x81e26c16, 0xea4f73ee, 0x81d9dde1, 0xea80ff7a, 0x81d16321,
    0xeab28e56, 0x81c8fbd6,
  0xeae4207a, 0x81c0a801, 0xeb15b5e1, 0x81b867a5, 0xeb474e81, 0x81b03ac2,
    0xeb78ea52, 0x81a82159,
  0xebaa894f, 0x81a01b6d, 0xebdc2b6e, 0x819828fd, 0xec0dd0a8, 0x81904a0c,
    0xec3f78f6, 0x81887e9a,
  0xec71244f, 0x8180c6a9, 0xeca2d2ad, 0x8179223a, 0xecd48407, 0x8171914e,
    0xed063856, 0x816a13e6,
  0xed37ef91, 0x8162aa04, 0xed69a9b3, 0x815b53a8, 0xed9b66b2, 0x815410d4,
    0xedcd2687, 0x814ce188,
  0xedfee92b, 0x8145c5c7, 0xee30ae96, 0x813ebd90, 0xee6276bf, 0x8137c8e6,
    0xee9441a0, 0x8130e7c9,
  0xeec60f31, 0x812a1a3a, 0xeef7df6a, 0x8123603a, 0xef29b243, 0x811cb9ca,
    0xef5b87b5, 0x811626ec,
  0xef8d5fb8, 0x810fa7a0, 0xefbf3a45, 0x81093be8, 0xeff11753, 0x8102e3c4,
    0xf022f6da, 0x80fc9f35,
  0xf054d8d5, 0x80f66e3c, 0xf086bd39, 0x80f050db, 0xf0b8a401, 0x80ea4712,
    0xf0ea8d24, 0x80e450e2,
  0xf11c789a, 0x80de6e4c, 0xf14e665c, 0x80d89f51, 0xf1805662, 0x80d2e3f2,
    0xf1b248a5, 0x80cd3c2f,
  0xf1e43d1c, 0x80c7a80a, 0xf21633c0, 0x80c22784, 0xf2482c8a, 0x80bcba9d,
    0xf27a2771, 0x80b76156,
  0xf2ac246e, 0x80b21baf, 0xf2de2379, 0x80ace9ab, 0xf310248a, 0x80a7cb49,
    0xf342279b, 0x80a2c08b,
  0xf3742ca2, 0x809dc971, 0xf3a63398, 0x8098e5fb, 0xf3d83c77, 0x8094162c,
    0xf40a4735, 0x808f5a02,
  0xf43c53cb, 0x808ab180, 0xf46e6231, 0x80861ca6, 0xf4a07261, 0x80819b74,
    0xf4d28451, 0x807d2dec,
  0xf50497fb, 0x8078d40d, 0xf536ad56, 0x80748dd9, 0xf568c45b, 0x80705b50,
    0xf59add02, 0x806c3c74,
  0xf5ccf743, 0x80683143, 0xf5ff1318, 0x806439c0, 0xf6313077, 0x806055eb,
    0xf6634f59, 0x805c85c4,
  0xf6956fb7, 0x8058c94c, 0xf6c79188, 0x80552084, 0xf6f9b4c6, 0x80518b6b,
    0xf72bd967, 0x804e0a04,
  0xf75dff66, 0x804a9c4d, 0xf79026b9, 0x80474248, 0xf7c24f59, 0x8043fbf6,
    0xf7f4793e, 0x8040c956,
  0xf826a462, 0x803daa6a, 0xf858d0bb, 0x803a9f31, 0xf88afe42, 0x8037a7ac,
    0xf8bd2cef, 0x8034c3dd,
  0xf8ef5cbb, 0x8031f3c2, 0xf9218d9e, 0x802f375d, 0xf953bf91, 0x802c8ead,
    0xf985f28a, 0x8029f9b4,
  0xf9b82684, 0x80277872, 0xf9ea5b75, 0x80250ae7, 0xfa1c9157, 0x8022b114,
    0xfa4ec821, 0x80206af8,
  0xfa80ffcb, 0x801e3895, 0xfab3384f, 0x801c19ea, 0xfae571a4, 0x801a0ef8,
    0xfb17abc2, 0x801817bf,
  0xfb49e6a3, 0x80163440, 0xfb7c223d, 0x8014647b, 0xfbae5e89, 0x8012a86f,
    0xfbe09b80, 0x8011001f,
  0xfc12d91a, 0x800f6b88, 0xfc45174e, 0x800deaad, 0xfc775616, 0x800c7d8c,
    0xfca9956a, 0x800b2427,
  0xfcdbd541, 0x8009de7e, 0xfd0e1594, 0x8008ac90, 0xfd40565c, 0x80078e5e,
    0xfd729790, 0x800683e8,
  0xfda4d929, 0x80058d2f, 0xfdd71b1e, 0x8004aa32, 0xfe095d69, 0x8003daf1,
    0xfe3ba002, 0x80031f6d,
  0xfe6de2e0, 0x800277a6, 0xfea025fd, 0x8001e39b, 0xfed2694f, 0x8001634e,
    0xff04acd0, 0x8000f6bd,
  0xff36f078, 0x80009dea, 0xff69343f, 0x800058d4, 0xff9b781d, 0x8000277a,
    0xffcdbc0b, 0x800009df,

};


/*    
* @brief  Q15 Twiddle factors Table    
*/

/**   
* \par    
* Example code for Q15 Twiddle factors Generation::    
* \par    
* <pre>for(i = 0; i< 3N/4; i++)    
* {    
*    twiddleCoefQ15[2*i]= cos(i * 2*PI/(float)N);    
*    twiddleCoefQ15[2*i+1]= sin(i * 2*PI/(float)N);    
* } </pre>    
* \par    
* where N = 4096    and PI = 3.14159265358979    
* \par    
* Cos and Sin values are interleaved fashion    
* \par    
* Convert Floating point to Q15(Fixed point 1.15):    
*    round(twiddleCoefQ15(i) * pow(2, 15))    
*    
*/

const q15_t ALIGN4 twiddleCoefQ15[6144] = {

  0x7fff, 0x0, 0x7fff, 0x32, 0x7fff, 0x65, 0x7fff, 0x97,
  0x7fff, 0xc9, 0x7fff, 0xfb, 0x7fff, 0x12e, 0x7ffe, 0x160,
  0x7ffe, 0x192, 0x7ffd, 0x1c4, 0x7ffc, 0x1f7, 0x7ffb, 0x229,
  0x7ffa, 0x25b, 0x7ff9, 0x28d, 0x7ff8, 0x2c0, 0x7ff7, 0x2f2,
  0x7ff6, 0x324, 0x7ff5, 0x356, 0x7ff4, 0x389, 0x7ff2, 0x3bb,
  0x7ff1, 0x3ed, 0x7fef, 0x41f, 0x7fed, 0x452, 0x7fec, 0x484,
  0x7fea, 0x4b6, 0x7fe8, 0x4e8, 0x7fe6, 0x51b, 0x7fe4, 0x54d,
  0x7fe2, 0x57f, 0x7fe0, 0x5b1, 0x7fdd, 0x5e3, 0x7fdb, 0x616,
  0x7fd9, 0x648, 0x7fd6, 0x67a, 0x7fd3, 0x6ac, 0x7fd1, 0x6de,
  0x7fce, 0x711, 0x7fcb, 0x743, 0x7fc8, 0x775, 0x7fc5, 0x7a7,
  0x7fc2, 0x7d9, 0x7fbf, 0x80c, 0x7fbc, 0x83e, 0x7fb9, 0x870,
  0x7fb5, 0x8a2, 0x7fb2, 0x8d4, 0x7fae, 0x906, 0x7fab, 0x938,
  0x7fa7, 0x96b, 0x7fa3, 0x99d, 0x7fa0, 0x9cf, 0x7f9c, 0xa01,
  0x7f98, 0xa33, 0x7f94, 0xa65, 0x7f90, 0xa97, 0x7f8b, 0xac9,
  0x7f87, 0xafb, 0x7f83, 0xb2d, 0x7f7e, 0xb60, 0x7f7a, 0xb92,
  0x7f75, 0xbc4, 0x7f71, 0xbf6, 0x7f6c, 0xc28, 0x7f67, 0xc5a,
  0x7f62, 0xc8c, 0x7f5d, 0xcbe, 0x7f58, 0xcf0, 0x7f53, 0xd22,
  0x7f4e, 0xd54, 0x7f49, 0xd86, 0x7f43, 0xdb8, 0x7f3e, 0xdea,
  0x7f38, 0xe1c, 0x7f33, 0xe4e, 0x7f2d, 0xe80, 0x7f27, 0xeb2,
  0x7f22, 0xee4, 0x7f1c, 0xf15, 0x7f16, 0xf47, 0x7f10, 0xf79,
  0x7f0a, 0xfab, 0x7f03, 0xfdd, 0x7efd, 0x100f, 0x7ef7, 0x1041,
  0x7ef0, 0x1073, 0x7eea, 0x10a4, 0x7ee3, 0x10d6, 0x7edd, 0x1108,
  0x7ed6, 0x113a, 0x7ecf, 0x116c, 0x7ec8, 0x119e, 0x7ec1, 0x11cf,
  0x7eba, 0x1201, 0x7eb3, 0x1233, 0x7eac, 0x1265, 0x7ea5, 0x1296,
  0x7e9d, 0x12c8, 0x7e96, 0x12fa, 0x7e8e, 0x132b, 0x7e87, 0x135d,
  0x7e7f, 0x138f, 0x7e78, 0x13c1, 0x7e70, 0x13f2, 0x7e68, 0x1424,
  0x7e60, 0x1455, 0x7e58, 0x1487, 0x7e50, 0x14b9, 0x7e48, 0x14ea,
  0x7e3f, 0x151c, 0x7e37, 0x154d, 0x7e2f, 0x157f, 0x7e26, 0x15b1,
  0x7e1e, 0x15e2, 0x7e15, 0x1614, 0x7e0c, 0x1645, 0x7e03, 0x1677,
  0x7dfb, 0x16a8, 0x7df2, 0x16da, 0x7de9, 0x170b, 0x7de0, 0x173c,
  0x7dd6, 0x176e, 0x7dcd, 0x179f, 0x7dc4, 0x17d1, 0x7dba, 0x1802,
  0x7db1, 0x1833, 0x7da7, 0x1865, 0x7d9e, 0x1896, 0x7d94, 0x18c7,
  0x7d8a, 0x18f9, 0x7d81, 0x192a, 0x7d77, 0x195b, 0x7d6d, 0x198d,
  0x7d63, 0x19be, 0x7d58, 0x19ef, 0x7d4e, 0x1a20, 0x7d44, 0x1a51,
  0x7d3a, 0x1a83, 0x7d2f, 0x1ab4, 0x7d25, 0x1ae5, 0x7d1a, 0x1b16,
  0x7d0f, 0x1b47, 0x7d05, 0x1b78, 0x7cfa, 0x1ba9, 0x7cef, 0x1bda,
  0x7ce4, 0x1c0c, 0x7cd9, 0x1c3d, 0x7cce, 0x1c6e, 0x7cc2, 0x1c9f,
  0x7cb7, 0x1cd0, 0x7cac, 0x1d01, 0x7ca0, 0x1d31, 0x7c95, 0x1d62,
  0x7c89, 0x1d93, 0x7c7e, 0x1dc4, 0x7c72, 0x1df5, 0x7c66, 0x1e26,
  0x7c5a, 0x1e57, 0x7c4e, 0x1e88, 0x7c42, 0x1eb8, 0x7c36, 0x1ee9,
  0x7c2a, 0x1f1a, 0x7c1e, 0x1f4b, 0x7c11, 0x1f7b, 0x7c05, 0x1fac,
  0x7bf9, 0x1fdd, 0x7bec, 0x200e, 0x7bdf, 0x203e, 0x7bd3, 0x206f,
  0x7bc6, 0x209f, 0x7bb9, 0x20d0, 0x7bac, 0x2101, 0x7b9f, 0x2131,
  0x7b92, 0x2162, 0x7b85, 0x2192, 0x7b78, 0x21c3, 0x7b6a, 0x21f3,
  0x7b5d, 0x2224, 0x7b50, 0x2254, 0x7b42, 0x2284, 0x7b34, 0x22b5,
  0x7b27, 0x22e5, 0x7b19, 0x2316, 0x7b0b, 0x2346, 0x7afd, 0x2376,
  0x7aef, 0x23a7, 0x7ae1, 0x23d7, 0x7ad3, 0x2407, 0x7ac5, 0x2437,
  0x7ab7, 0x2467, 0x7aa8, 0x2498, 0x7a9a, 0x24c8, 0x7a8c, 0x24f8,
  0x7a7d, 0x2528, 0x7a6e, 0x2558, 0x7a60, 0x2588, 0x7a51, 0x25b8,
  0x7a42, 0x25e8, 0x7a33, 0x2618, 0x7a24, 0x2648, 0x7a15, 0x2678,
  0x7a06, 0x26a8, 0x79f7, 0x26d8, 0x79e7, 0x2708, 0x79d8, 0x2738,
  0x79c9, 0x2768, 0x79b9, 0x2797, 0x79aa, 0x27c7, 0x799a, 0x27f7,
  0x798a, 0x2827, 0x797a, 0x2856, 0x796a, 0x2886, 0x795b, 0x28b6,
  0x794a, 0x28e5, 0x793a, 0x2915, 0x792a, 0x2945, 0x791a, 0x2974,
  0x790a, 0x29a4, 0x78f9, 0x29d3, 0x78e9, 0x2a03, 0x78d8, 0x2a32,
  0x78c8, 0x2a62, 0x78b7, 0x2a91, 0x78a6, 0x2ac1, 0x7895, 0x2af0,
  0x7885, 0x2b1f, 0x7874, 0x2b4f, 0x7863, 0x2b7e, 0x7851, 0x2bad,
  0x7840, 0x2bdc, 0x782f, 0x2c0c, 0x781e, 0x2c3b, 0x780c, 0x2c6a,
  0x77fb, 0x2c99, 0x77e9, 0x2cc8, 0x77d8, 0x2cf7, 0x77c6, 0x2d26,
  0x77b4, 0x2d55, 0x77a2, 0x2d84, 0x7790, 0x2db3, 0x777e, 0x2de2,
  0x776c, 0x2e11, 0x775a, 0x2e40, 0x7748, 0x2e6f, 0x7736, 0x2e9e,
  0x7723, 0x2ecc, 0x7711, 0x2efb, 0x76fe, 0x2f2a, 0x76ec, 0x2f59,
  0x76d9, 0x2f87, 0x76c7, 0x2fb6, 0x76b4, 0x2fe5, 0x76a1, 0x3013,
  0x768e, 0x3042, 0x767b, 0x3070, 0x7668, 0x309f, 0x7655, 0x30cd,
  0x7642, 0x30fc, 0x762e, 0x312a, 0x761b, 0x3159, 0x7608, 0x3187,
  0x75f4, 0x31b5, 0x75e1, 0x31e4, 0x75cd, 0x3212, 0x75b9, 0x3240,
  0x75a6, 0x326e, 0x7592, 0x329d, 0x757e, 0x32cb, 0x756a, 0x32f9,
  0x7556, 0x3327, 0x7542, 0x3355, 0x752d, 0x3383, 0x7519, 0x33b1,
  0x7505, 0x33df, 0x74f0, 0x340d, 0x74dc, 0x343b, 0x74c7, 0x3469,
  0x74b3, 0x3497, 0x749e, 0x34c4, 0x7489, 0x34f2, 0x7475, 0x3520,
  0x7460, 0x354e, 0x744b, 0x357b, 0x7436, 0x35a9, 0x7421, 0x35d7,
  0x740b, 0x3604, 0x73f6, 0x3632, 0x73e1, 0x365f, 0x73cb, 0x368d,
  0x73b6, 0x36ba, 0x73a0, 0x36e8, 0x738b, 0x3715, 0x7375, 0x3742,
  0x735f, 0x3770, 0x734a, 0x379d, 0x7334, 0x37ca, 0x731e, 0x37f7,
  0x7308, 0x3825, 0x72f2, 0x3852, 0x72dc, 0x387f, 0x72c5, 0x38ac,
  0x72af, 0x38d9, 0x7299, 0x3906, 0x7282, 0x3933, 0x726c, 0x3960,
  0x7255, 0x398d, 0x723f, 0x39ba, 0x7228, 0x39e7, 0x7211, 0x3a13,
  0x71fa, 0x3a40, 0x71e3, 0x3a6d, 0x71cc, 0x3a9a, 0x71b5, 0x3ac6,
  0x719e, 0x3af3, 0x7187, 0x3b20, 0x7170, 0x3b4c, 0x7158, 0x3b79,
  0x7141, 0x3ba5, 0x712a, 0x3bd2, 0x7112, 0x3bfe, 0x70fa, 0x3c2a,
  0x70e3, 0x3c57, 0x70cb, 0x3c83, 0x70b3, 0x3caf, 0x709b, 0x3cdc,
  0x7083, 0x3d08, 0x706b, 0x3d34, 0x7053, 0x3d60, 0x703b, 0x3d8c,
  0x7023, 0x3db8, 0x700b, 0x3de4, 0x6ff2, 0x3e10, 0x6fda, 0x3e3c,
  0x6fc2, 0x3e68, 0x6fa9, 0x3e94, 0x6f90, 0x3ec0, 0x6f78, 0x3eec,
  0x6f5f, 0x3f17, 0x6f46, 0x3f43, 0x6f2d, 0x3f6f, 0x6f14, 0x3f9a,
  0x6efb, 0x3fc6, 0x6ee2, 0x3ff1, 0x6ec9, 0x401d, 0x6eb0, 0x4048,
  0x6e97, 0x4074, 0x6e7d, 0x409f, 0x6e64, 0x40cb, 0x6e4a, 0x40f6,
  0x6e31, 0x4121, 0x6e17, 0x414d, 0x6dfe, 0x4178, 0x6de4, 0x41a3,
  0x6dca, 0x41ce, 0x6db0, 0x41f9, 0x6d96, 0x4224, 0x6d7c, 0x424f,
  0x6d62, 0x427a, 0x6d48, 0x42a5, 0x6d2e, 0x42d0, 0x6d14, 0x42fb,
  0x6cf9, 0x4326, 0x6cdf, 0x4351, 0x6cc4, 0x437b, 0x6caa, 0x43a6,
  0x6c8f, 0x43d1, 0x6c75, 0x43fb, 0x6c5a, 0x4426, 0x6c3f, 0x4450,
  0x6c24, 0x447b, 0x6c09, 0x44a5, 0x6bee, 0x44d0, 0x6bd3, 0x44fa,
  0x6bb8, 0x4524, 0x6b9d, 0x454f, 0x6b82, 0x4579, 0x6b66, 0x45a3,
  0x6b4b, 0x45cd, 0x6b30, 0x45f7, 0x6b14, 0x4621, 0x6af8, 0x464b,
  0x6add, 0x4675, 0x6ac1, 0x469f, 0x6aa5, 0x46c9, 0x6a89, 0x46f3,
  0x6a6e, 0x471d, 0x6a52, 0x4747, 0x6a36, 0x4770, 0x6a1a, 0x479a,
  0x69fd, 0x47c4, 0x69e1, 0x47ed, 0x69c5, 0x4817, 0x69a9, 0x4840,
  0x698c, 0x486a, 0x6970, 0x4893, 0x6953, 0x48bd, 0x6937, 0x48e6,
  0x691a, 0x490f, 0x68fd, 0x4939, 0x68e0, 0x4962, 0x68c4, 0x498b,
  0x68a7, 0x49b4, 0x688a, 0x49dd, 0x686d, 0x4a06, 0x6850, 0x4a2f,
  0x6832, 0x4a58, 0x6815, 0x4a81, 0x67f8, 0x4aaa, 0x67da, 0x4ad3,
  0x67bd, 0x4afb, 0x67a0, 0x4b24, 0x6782, 0x4b4d, 0x6764, 0x4b75,
  0x6747, 0x4b9e, 0x6729, 0x4bc7, 0x670b, 0x4bef, 0x66ed, 0x4c17,
  0x66d0, 0x4c40, 0x66b2, 0x4c68, 0x6693, 0x4c91, 0x6675, 0x4cb9,
  0x6657, 0x4ce1, 0x6639, 0x4d09, 0x661b, 0x4d31, 0x65fc, 0x4d59,
  0x65de, 0x4d81, 0x65c0, 0x4da9, 0x65a1, 0x4dd1, 0x6582, 0x4df9,
  0x6564, 0x4e21, 0x6545, 0x4e49, 0x6526, 0x4e71, 0x6507, 0x4e98,
  0x64e9, 0x4ec0, 0x64ca, 0x4ee8, 0x64ab, 0x4f0f, 0x648b, 0x4f37,
  0x646c, 0x4f5e, 0x644d, 0x4f85, 0x642e, 0x4fad, 0x640f, 0x4fd4,
  0x63ef, 0x4ffb, 0x63d0, 0x5023, 0x63b0, 0x504a, 0x6391, 0x5071,
  0x6371, 0x5098, 0x6351, 0x50bf, 0x6332, 0x50e6, 0x6312, 0x510d,
  0x62f2, 0x5134, 0x62d2, 0x515b, 0x62b2, 0x5181, 0x6292, 0x51a8,
  0x6272, 0x51cf, 0x6252, 0x51f5, 0x6232, 0x521c, 0x6211, 0x5243,
  0x61f1, 0x5269, 0x61d1, 0x5290, 0x61b0, 0x52b6, 0x6190, 0x52dc,
  0x616f, 0x5303, 0x614e, 0x5329, 0x612e, 0x534f, 0x610d, 0x5375,
  0x60ec, 0x539b, 0x60cb, 0x53c1, 0x60aa, 0x53e7, 0x6089, 0x540d,
  0x6068, 0x5433, 0x6047, 0x5459, 0x6026, 0x547f, 0x6005, 0x54a4,
  0x5fe4, 0x54ca, 0x5fc2, 0x54f0, 0x5fa1, 0x5515, 0x5f80, 0x553b,
  0x5f5e, 0x5560, 0x5f3c, 0x5586, 0x5f1b, 0x55ab, 0x5ef9, 0x55d0,
  0x5ed7, 0x55f6, 0x5eb6, 0x561b, 0x5e94, 0x5640, 0x5e72, 0x5665,
  0x5e50, 0x568a, 0x5e2e, 0x56af, 0x5e0c, 0x56d4, 0x5dea, 0x56f9,
  0x5dc8, 0x571e, 0x5da5, 0x5743, 0x5d83, 0x5767, 0x5d61, 0x578c,
  0x5d3e, 0x57b1, 0x5d1c, 0x57d5, 0x5cf9, 0x57fa, 0x5cd7, 0x581e,
  0x5cb4, 0x5843, 0x5c91, 0x5867, 0x5c6f, 0x588c, 0x5c4c, 0x58b0,
  0x5c29, 0x58d4, 0x5c06, 0x58f8, 0x5be3, 0x591c, 0x5bc0, 0x5940,
  0x5b9d, 0x5964, 0x5b7a, 0x5988, 0x5b57, 0x59ac, 0x5b34, 0x59d0,
  0x5b10, 0x59f4, 0x5aed, 0x5a18, 0x5ac9, 0x5a3b, 0x5aa6, 0x5a5f,
  0x5a82, 0x5a82, 0x5a5f, 0x5aa6, 0x5a3b, 0x5ac9, 0x5a18, 0x5aed,
  0x59f4, 0x5b10, 0x59d0, 0x5b34, 0x59ac, 0x5b57, 0x5988, 0x5b7a,
  0x5964, 0x5b9d, 0x5940, 0x5bc0, 0x591c, 0x5be3, 0x58f8, 0x5c06,
  0x58d4, 0x5c29, 0x58b0, 0x5c4c, 0x588c, 0x5c6f, 0x5867, 0x5c91,
  0x5843, 0x5cb4, 0x581e, 0x5cd7, 0x57fa, 0x5cf9, 0x57d5, 0x5d1c,
  0x57b1, 0x5d3e, 0x578c, 0x5d61, 0x5767, 0x5d83, 0x5743, 0x5da5,
  0x571e, 0x5dc8, 0x56f9, 0x5dea, 0x56d4, 0x5e0c, 0x56af, 0x5e2e,
  0x568a, 0x5e50, 0x5665, 0x5e72, 0x5640, 0x5e94, 0x561b, 0x5eb6,
  0x55f6, 0x5ed7, 0x55d0, 0x5ef9, 0x55ab, 0x5f1b, 0x5586, 0x5f3c,
  0x5560, 0x5f5e, 0x553b, 0x5f80, 0x5515, 0x5fa1, 0x54f0, 0x5fc2,
  0x54ca, 0x5fe4, 0x54a4, 0x6005, 0x547f, 0x6026, 0x5459, 0x6047,
  0x5433, 0x6068, 0x540d, 0x6089, 0x53e7, 0x60aa, 0x53c1, 0x60cb,
  0x539b, 0x60ec, 0x5375, 0x610d, 0x534f, 0x612e, 0x5329, 0x614e,
  0x5303, 0x616f, 0x52dc, 0x6190, 0x52b6, 0x61b0, 0x5290, 0x61d1,
  0x5269, 0x61f1, 0x5243, 0x6211, 0x521c, 0x6232, 0x51f5, 0x6252,
  0x51cf, 0x6272, 0x51a8, 0x6292, 0x5181, 0x62b2, 0x515b, 0x62d2,
  0x5134, 0x62f2, 0x510d, 0x6312, 0x50e6, 0x6332, 0x50bf, 0x6351,
  0x5098, 0x6371, 0x5071, 0x6391, 0x504a, 0x63b0, 0x5023, 0x63d0,
  0x4ffb, 0x63ef, 0x4fd4, 0x640f, 0x4fad, 0x642e, 0x4f85, 0x644d,
  0x4f5e, 0x646c, 0x4f37, 0x648b, 0x4f0f, 0x64ab, 0x4ee8, 0x64ca,
  0x4ec0, 0x64e9, 0x4e98, 0x6507, 0x4e71, 0x6526, 0x4e49, 0x6545,
  0x4e21, 0x6564, 0x4df9, 0x6582, 0x4dd1, 0x65a1, 0x4da9, 0x65c0,
  0x4d81, 0x65de, 0x4d59, 0x65fc, 0x4d31, 0x661b, 0x4d09, 0x6639,
  0x4ce1, 0x6657, 0x4cb9, 0x6675, 0x4c91, 0x6693, 0x4c68, 0x66b2,
  0x4c40, 0x66d0, 0x4c17, 0x66ed, 0x4bef, 0x670b, 0x4bc7, 0x6729,
  0x4b9e, 0x6747, 0x4b75, 0x6764, 0x4b4d, 0x6782, 0x4b24, 0x67a0,
  0x4afb, 0x67bd, 0x4ad3, 0x67da, 0x4aaa, 0x67f8, 0x4a81, 0x6815,
  0x4a58, 0x6832, 0x4a2f, 0x6850, 0x4a06, 0x686d, 0x49dd, 0x688a,
  0x49b4, 0x68a7, 0x498b, 0x68c4, 0x4962, 0x68e0, 0x4939, 0x68fd,
  0x490f, 0x691a, 0x48e6, 0x6937, 0x48bd, 0x6953, 0x4893, 0x6970,
  0x486a, 0x698c, 0x4840, 0x69a9, 0x4817, 0x69c5, 0x47ed, 0x69e1,
  0x47c4, 0x69fd, 0x479a, 0x6a1a, 0x4770, 0x6a36, 0x4747, 0x6a52,
  0x471d, 0x6a6e, 0x46f3, 0x6a89, 0x46c9, 0x6aa5, 0x469f, 0x6ac1,
  0x4675, 0x6add, 0x464b, 0x6af8, 0x4621, 0x6b14, 0x45f7, 0x6b30,
  0x45cd, 0x6b4b, 0x45a3, 0x6b66, 0x4579, 0x6b82, 0x454f, 0x6b9d,
  0x4524, 0x6bb8, 0x44fa, 0x6bd3, 0x44d0, 0x6bee, 0x44a5, 0x6c09,
  0x447b, 0x6c24, 0x4450, 0x6c3f, 0x4426, 0x6c5a, 0x43fb, 0x6c75,
  0x43d1, 0x6c8f, 0x43a6, 0x6caa, 0x437b, 0x6cc4, 0x4351, 0x6cdf,
  0x4326, 0x6cf9, 0x42fb, 0x6d14, 0x42d0, 0x6d2e, 0x42a5, 0x6d48,
  0x427a, 0x6d62, 0x424f, 0x6d7c, 0x4224, 0x6d96, 0x41f9, 0x6db0,
  0x41ce, 0x6dca, 0x41a3, 0x6de4, 0x4178, 0x6dfe, 0x414d, 0x6e17,
  0x4121, 0x6e31, 0x40f6, 0x6e4a, 0x40cb, 0x6e64, 0x409f, 0x6e7d,
  0x4074, 0x6e97, 0x4048, 0x6eb0, 0x401d, 0x6ec9, 0x3ff1, 0x6ee2,
  0x3fc6, 0x6efb, 0x3f9a, 0x6f14, 0x3f6f, 0x6f2d, 0x3f43, 0x6f46,
  0x3f17, 0x6f5f, 0x3eec, 0x6f78, 0x3ec0, 0x6f90, 0x3e94, 0x6fa9,
  0x3e68, 0x6fc2, 0x3e3c, 0x6fda, 0x3e10, 0x6ff2, 0x3de4, 0x700b,
  0x3db8, 0x7023, 0x3d8c, 0x703b, 0x3d60, 0x7053, 0x3d34, 0x706b,
  0x3d08, 0x7083, 0x3cdc, 0x709b, 0x3caf, 0x70b3, 0x3c83, 0x70cb,
  0x3c57, 0x70e3, 0x3c2a, 0x70fa, 0x3bfe, 0x7112, 0x3bd2, 0x712a,
  0x3ba5, 0x7141, 0x3b79, 0x7158, 0x3b4c, 0x7170, 0x3b20, 0x7187,
  0x3af3, 0x719e, 0x3ac6, 0x71b5, 0x3a9a, 0x71cc, 0x3a6d, 0x71e3,
  0x3a40, 0x71fa, 0x3a13, 0x7211, 0x39e7, 0x7228, 0x39ba, 0x723f,
  0x398d, 0x7255, 0x3960, 0x726c, 0x3933, 0x7282, 0x3906, 0x7299,
  0x38d9, 0x72af, 0x38ac, 0x72c5, 0x387f, 0x72dc, 0x3852, 0x72f2,
  0x3825, 0x7308, 0x37f7, 0x731e, 0x37ca, 0x7334, 0x379d, 0x734a,
  0x3770, 0x735f, 0x3742, 0x7375, 0x3715, 0x738b, 0x36e8, 0x73a0,
  0x36ba, 0x73b6, 0x368d, 0x73cb, 0x365f, 0x73e1, 0x3632, 0x73f6,
  0x3604, 0x740b, 0x35d7, 0x7421, 0x35a9, 0x7436, 0x357b, 0x744b,
  0x354e, 0x7460, 0x3520, 0x7475, 0x34f2, 0x7489, 0x34c4, 0x749e,
  0x3497, 0x74b3, 0x3469, 0x74c7, 0x343b, 0x74dc, 0x340d, 0x74f0,
  0x33df, 0x7505, 0x33b1, 0x7519, 0x3383, 0x752d, 0x3355, 0x7542,
  0x3327, 0x7556, 0x32f9, 0x756a, 0x32cb, 0x757e, 0x329d, 0x7592,
  0x326e, 0x75a6, 0x3240, 0x75b9, 0x3212, 0x75cd, 0x31e4, 0x75e1,
  0x31b5, 0x75f4, 0x3187, 0x7608, 0x3159, 0x761b, 0x312a, 0x762e,
  0x30fc, 0x7642, 0x30cd, 0x7655, 0x309f, 0x7668, 0x3070, 0x767b,
  0x3042, 0x768e, 0x3013, 0x76a1, 0x2fe5, 0x76b4, 0x2fb6, 0x76c7,
  0x2f87, 0x76d9, 0x2f59, 0x76ec, 0x2f2a, 0x76fe, 0x2efb, 0x7711,
  0x2ecc, 0x7723, 0x2e9e, 0x7736, 0x2e6f, 0x7748, 0x2e40, 0x775a,
  0x2e11, 0x776c, 0x2de2, 0x777e, 0x2db3, 0x7790, 0x2d84, 0x77a2,
  0x2d55, 0x77b4, 0x2d26, 0x77c6, 0x2cf7, 0x77d8, 0x2cc8, 0x77e9,
  0x2c99, 0x77fb, 0x2c6a, 0x780c, 0x2c3b, 0x781e, 0x2c0c, 0x782f,
  0x2bdc, 0x7840, 0x2bad, 0x7851, 0x2b7e, 0x7863, 0x2b4f, 0x7874,
  0x2b1f, 0x7885, 0x2af0, 0x7895, 0x2ac1, 0x78a6, 0x2a91, 0x78b7,
  0x2a62, 0x78c8, 0x2a32, 0x78d8, 0x2a03, 0x78e9, 0x29d3, 0x78f9,
  0x29a4, 0x790a, 0x2974, 0x791a, 0x2945, 0x792a, 0x2915, 0x793a,
  0x28e5, 0x794a, 0x28b6, 0x795b, 0x2886, 0x796a, 0x2856, 0x797a,
  0x2827, 0x798a, 0x27f7, 0x799a, 0x27c7, 0x79aa, 0x2797, 0x79b9,
  0x2768, 0x79c9, 0x2738, 0x79d8, 0x2708, 0x79e7, 0x26d8, 0x79f7,
  0x26a8, 0x7a06, 0x2678, 0x7a15, 0x2648, 0x7a24, 0x2618, 0x7a33,
  0x25e8, 0x7a42, 0x25b8, 0x7a51, 0x2588, 0x7a60, 0x2558, 0x7a6e,
  0x2528, 0x7a7d, 0x24f8, 0x7a8c, 0x24c8, 0x7a9a, 0x2498, 0x7aa8,
  0x2467, 0x7ab7, 0x2437, 0x7ac5, 0x2407, 0x7ad3, 0x23d7, 0x7ae1,
  0x23a7, 0x7aef, 0x2376, 0x7afd, 0x2346, 0x7b0b, 0x2316, 0x7b19,
  0x22e5, 0x7b27, 0x22b5, 0x7b34, 0x2284, 0x7b42, 0x2254, 0x7b50,
  0x2224, 0x7b5d, 0x21f3, 0x7b6a, 0x21c3, 0x7b78, 0x2192, 0x7b85,
  0x2162, 0x7b92, 0x2131, 0x7b9f, 0x2101, 0x7bac, 0x20d0, 0x7bb9,
  0x209f, 0x7bc6, 0x206f, 0x7bd3, 0x203e, 0x7bdf, 0x200e, 0x7bec,
  0x1fdd, 0x7bf9, 0x1fac, 0x7c05, 0x1f7b, 0x7c11, 0x1f4b, 0x7c1e,
  0x1f1a, 0x7c2a, 0x1ee9, 0x7c36, 0x1eb8, 0x7c42, 0x1e88, 0x7c4e,
  0x1e57, 0x7c5a, 0x1e26, 0x7c66, 0x1df5, 0x7c72, 0x1dc4, 0x7c7e,
  0x1d93, 0x7c89, 0x1d62, 0x7c95, 0x1d31, 0x7ca0, 0x1d01, 0x7cac,
  0x1cd0, 0x7cb7, 0x1c9f, 0x7cc2, 0x1c6e, 0x7cce, 0x1c3d, 0x7cd9,
  0x1c0c, 0x7ce4, 0x1bda, 0x7cef, 0x1ba9, 0x7cfa, 0x1b78, 0x7d05,
  0x1b47, 0x7d0f, 0x1b16, 0x7d1a, 0x1ae5, 0x7d25, 0x1ab4, 0x7d2f,
  0x1a83, 0x7d3a, 0x1a51, 0x7d44, 0x1a20, 0x7d4e, 0x19ef, 0x7d58,
  0x19be, 0x7d63, 0x198d, 0x7d6d, 0x195b, 0x7d77, 0x192a, 0x7d81,
  0x18f9, 0x7d8a, 0x18c7, 0x7d94, 0x1896, 0x7d9e, 0x1865, 0x7da7,
  0x1833, 0x7db1, 0x1802, 0x7dba, 0x17d1, 0x7dc4, 0x179f, 0x7dcd,
  0x176e, 0x7dd6, 0x173c, 0x7de0, 0x170b, 0x7de9, 0x16da, 0x7df2,
  0x16a8, 0x7dfb, 0x1677, 0x7e03, 0x1645, 0x7e0c, 0x1614, 0x7e15,
  0x15e2, 0x7e1e, 0x15b1, 0x7e26, 0x157f, 0x7e2f, 0x154d, 0x7e37,
  0x151c, 0x7e3f, 0x14ea, 0x7e48, 0x14b9, 0x7e50, 0x1487, 0x7e58,
  0x1455, 0x7e60, 0x1424, 0x7e68, 0x13f2, 0x7e70, 0x13c1, 0x7e78,
  0x138f, 0x7e7f, 0x135d, 0x7e87, 0x132b, 0x7e8e, 0x12fa, 0x7e96,
  0x12c8, 0x7e9d, 0x1296, 0x7ea5, 0x1265, 0x7eac, 0x1233, 0x7eb3,
  0x1201, 0x7eba, 0x11cf, 0x7ec1, 0x119e, 0x7ec8, 0x116c, 0x7ecf,
  0x113a, 0x7ed6, 0x1108, 0x7edd, 0x10d6, 0x7ee3, 0x10a4, 0x7eea,
  0x1073, 0x7ef0, 0x1041, 0x7ef7, 0x100f, 0x7efd, 0xfdd, 0x7f03,
  0xfab, 0x7f0a, 0xf79, 0x7f10, 0xf47, 0x7f16, 0xf15, 0x7f1c,
  0xee4, 0x7f22, 0xeb2, 0x7f27, 0xe80, 0x7f2d, 0xe4e, 0x7f33,
  0xe1c, 0x7f38, 0xdea, 0x7f3e, 0xdb8, 0x7f43, 0xd86, 0x7f49,
  0xd54, 0x7f4e, 0xd22, 0x7f53, 0xcf0, 0x7f58, 0xcbe, 0x7f5d,
  0xc8c, 0x7f62, 0xc5a, 0x7f67, 0xc28, 0x7f6c, 0xbf6, 0x7f71,
  0xbc4, 0x7f75, 0xb92, 0x7f7a, 0xb60, 0x7f7e, 0xb2d, 0x7f83,
  0xafb, 0x7f87, 0xac9, 0x7f8b, 0xa97, 0x7f90, 0xa65, 0x7f94,
  0xa33, 0x7f98, 0xa01, 0x7f9c, 0x9cf, 0x7fa0, 0x99d, 0x7fa3,
  0x96b, 0x7fa7, 0x938, 0x7fab, 0x906, 0x7fae, 0x8d4, 0x7fb2,
  0x8a2, 0x7fb5, 0x870, 0x7fb9, 0x83e, 0x7fbc, 0x80c, 0x7fbf,
  0x7d9, 0x7fc2, 0x7a7, 0x7fc5, 0x775, 0x7fc8, 0x743, 0x7fcb,
  0x711, 0x7fce, 0x6de, 0x7fd1, 0x6ac, 0x7fd3, 0x67a, 0x7fd6,
  0x648, 0x7fd9, 0x616, 0x7fdb, 0x5e3, 0x7fdd, 0x5b1, 0x7fe0,
  0x57f, 0x7fe2, 0x54d, 0x7fe4, 0x51b, 0x7fe6, 0x4e8, 0x7fe8,
  0x4b6, 0x7fea, 0x484, 0x7fec, 0x452, 0x7fed, 0x41f, 0x7fef,
  0x3ed, 0x7ff1, 0x3bb, 0x7ff2, 0x389, 0x7ff4, 0x356, 0x7ff5,
  0x324, 0x7ff6, 0x2f2, 0x7ff7, 0x2c0, 0x7ff8, 0x28d, 0x7ff9,
  0x25b, 0x7ffa, 0x229, 0x7ffb, 0x1f7, 0x7ffc, 0x1c4, 0x7ffd,
  0x192, 0x7ffe, 0x160, 0x7ffe, 0x12e, 0x7fff, 0xfb, 0x7fff,
  0xc9, 0x7fff, 0x97, 0x7fff, 0x65, 0x7fff, 0x32, 0x7fff,
  0x0, 0x7fff, 0xffce, 0x7fff, 0xff9b, 0x7fff, 0xff69, 0x7fff,
  0xff37, 0x7fff, 0xff05, 0x7fff, 0xfed2, 0x7fff, 0xfea0, 0x7ffe,
  0xfe6e, 0x7ffe, 0xfe3c, 0x7ffd, 0xfe09, 0x7ffc, 0xfdd7, 0x7ffb,
  0xfda5, 0x7ffa, 0xfd73, 0x7ff9, 0xfd40, 0x7ff8, 0xfd0e, 0x7ff7,
  0xfcdc, 0x7ff6, 0xfcaa, 0x7ff5, 0xfc77, 0x7ff4, 0xfc45, 0x7ff2,
  0xfc13, 0x7ff1, 0xfbe1, 0x7fef, 0xfbae, 0x7fed, 0xfb7c, 0x7fec,
  0xfb4a, 0x7fea, 0xfb18, 0x7fe8, 0xfae5, 0x7fe6, 0xfab3, 0x7fe4,
  0xfa81, 0x7fe2, 0xfa4f, 0x7fe0, 0xfa1d, 0x7fdd, 0xf9ea, 0x7fdb,
  0xf9b8, 0x7fd9, 0xf986, 0x7fd6, 0xf954, 0x7fd3, 0xf922, 0x7fd1,
  0xf8ef, 0x7fce, 0xf8bd, 0x7fcb, 0xf88b, 0x7fc8, 0xf859, 0x7fc5,
  0xf827, 0x7fc2, 0xf7f4, 0x7fbf, 0xf7c2, 0x7fbc, 0xf790, 0x7fb9,
  0xf75e, 0x7fb5, 0xf72c, 0x7fb2, 0xf6fa, 0x7fae, 0xf6c8, 0x7fab,
  0xf695, 0x7fa7, 0xf663, 0x7fa3, 0xf631, 0x7fa0, 0xf5ff, 0x7f9c,
  0xf5cd, 0x7f98, 0xf59b, 0x7f94, 0xf569, 0x7f90, 0xf537, 0x7f8b,
  0xf505, 0x7f87, 0xf4d3, 0x7f83, 0xf4a0, 0x7f7e, 0xf46e, 0x7f7a,
  0xf43c, 0x7f75, 0xf40a, 0x7f71, 0xf3d8, 0x7f6c, 0xf3a6, 0x7f67,
  0xf374, 0x7f62, 0xf342, 0x7f5d, 0xf310, 0x7f58, 0xf2de, 0x7f53,
  0xf2ac, 0x7f4e, 0xf27a, 0x7f49, 0xf248, 0x7f43, 0xf216, 0x7f3e,
  0xf1e4, 0x7f38, 0xf1b2, 0x7f33, 0xf180, 0x7f2d, 0xf14e, 0x7f27,
  0xf11c, 0x7f22, 0xf0eb, 0x7f1c, 0xf0b9, 0x7f16, 0xf087, 0x7f10,
  0xf055, 0x7f0a, 0xf023, 0x7f03, 0xeff1, 0x7efd, 0xefbf, 0x7ef7,
  0xef8d, 0x7ef0, 0xef5c, 0x7eea, 0xef2a, 0x7ee3, 0xeef8, 0x7edd,
  0xeec6, 0x7ed6, 0xee94, 0x7ecf, 0xee62, 0x7ec8, 0xee31, 0x7ec1,
  0xedff, 0x7eba, 0xedcd, 0x7eb3, 0xed9b, 0x7eac, 0xed6a, 0x7ea5,
  0xed38, 0x7e9d, 0xed06, 0x7e96, 0xecd5, 0x7e8e, 0xeca3, 0x7e87,
  0xec71, 0x7e7f, 0xec3f, 0x7e78, 0xec0e, 0x7e70, 0xebdc, 0x7e68,
  0xebab, 0x7e60, 0xeb79, 0x7e58, 0xeb47, 0x7e50, 0xeb16, 0x7e48,
  0xeae4, 0x7e3f, 0xeab3, 0x7e37, 0xea81, 0x7e2f, 0xea4f, 0x7e26,
  0xea1e, 0x7e1e, 0xe9ec, 0x7e15, 0xe9bb, 0x7e0c, 0xe989, 0x7e03,
  0xe958, 0x7dfb, 0xe926, 0x7df2, 0xe8f5, 0x7de9, 0xe8c4, 0x7de0,
  0xe892, 0x7dd6, 0xe861, 0x7dcd, 0xe82f, 0x7dc4, 0xe7fe, 0x7dba,
  0xe7cd, 0x7db1, 0xe79b, 0x7da7, 0xe76a, 0x7d9e, 0xe739, 0x7d94,
  0xe707, 0x7d8a, 0xe6d6, 0x7d81, 0xe6a5, 0x7d77, 0xe673, 0x7d6d,
  0xe642, 0x7d63, 0xe611, 0x7d58, 0xe5e0, 0x7d4e, 0xe5af, 0x7d44,
  0xe57d, 0x7d3a, 0xe54c, 0x7d2f, 0xe51b, 0x7d25, 0xe4ea, 0x7d1a,
  0xe4b9, 0x7d0f, 0xe488, 0x7d05, 0xe457, 0x7cfa, 0xe426, 0x7cef,
  0xe3f4, 0x7ce4, 0xe3c3, 0x7cd9, 0xe392, 0x7cce, 0xe361, 0x7cc2,
  0xe330, 0x7cb7, 0xe2ff, 0x7cac, 0xe2cf, 0x7ca0, 0xe29e, 0x7c95,
  0xe26d, 0x7c89, 0xe23c, 0x7c7e, 0xe20b, 0x7c72, 0xe1da, 0x7c66,
  0xe1a9, 0x7c5a, 0xe178, 0x7c4e, 0xe148, 0x7c42, 0xe117, 0x7c36,
  0xe0e6, 0x7c2a, 0xe0b5, 0x7c1e, 0xe085, 0x7c11, 0xe054, 0x7c05,
  0xe023, 0x7bf9, 0xdff2, 0x7bec, 0xdfc2, 0x7bdf, 0xdf91, 0x7bd3,
  0xdf61, 0x7bc6, 0xdf30, 0x7bb9, 0xdeff, 0x7bac, 0xdecf, 0x7b9f,
  0xde9e, 0x7b92, 0xde6e, 0x7b85, 0xde3d, 0x7b78, 0xde0d, 0x7b6a,
  0xdddc, 0x7b5d, 0xddac, 0x7b50, 0xdd7c, 0x7b42, 0xdd4b, 0x7b34,
  0xdd1b, 0x7b27, 0xdcea, 0x7b19, 0xdcba, 0x7b0b, 0xdc8a, 0x7afd,
  0xdc59, 0x7aef, 0xdc29, 0x7ae1, 0xdbf9, 0x7ad3, 0xdbc9, 0x7ac5,
  0xdb99, 0x7ab7, 0xdb68, 0x7aa8, 0xdb38, 0x7a9a, 0xdb08, 0x7a8c,
  0xdad8, 0x7a7d, 0xdaa8, 0x7a6e, 0xda78, 0x7a60, 0xda48, 0x7a51,
  0xda18, 0x7a42, 0xd9e8, 0x7a33, 0xd9b8, 0x7a24, 0xd988, 0x7a15,
  0xd958, 0x7a06, 0xd928, 0x79f7, 0xd8f8, 0x79e7, 0xd8c8, 0x79d8,
  0xd898, 0x79c9, 0xd869, 0x79b9, 0xd839, 0x79aa, 0xd809, 0x799a,
  0xd7d9, 0x798a, 0xd7aa, 0x797a, 0xd77a, 0x796a, 0xd74a, 0x795b,
  0xd71b, 0x794a, 0xd6eb, 0x793a, 0xd6bb, 0x792a, 0xd68c, 0x791a,
  0xd65c, 0x790a, 0xd62d, 0x78f9, 0xd5fd, 0x78e9, 0xd5ce, 0x78d8,
  0xd59e, 0x78c8, 0xd56f, 0x78b7, 0xd53f, 0x78a6, 0xd510, 0x7895,
  0xd4e1, 0x7885, 0xd4b1, 0x7874, 0xd482, 0x7863, 0xd453, 0x7851,
  0xd424, 0x7840, 0xd3f4, 0x782f, 0xd3c5, 0x781e, 0xd396, 0x780c,
  0xd367, 0x77fb, 0xd338, 0x77e9, 0xd309, 0x77d8, 0xd2da, 0x77c6,
  0xd2ab, 0x77b4, 0xd27c, 0x77a2, 0xd24d, 0x7790, 0xd21e, 0x777e,
  0xd1ef, 0x776c, 0xd1c0, 0x775a, 0xd191, 0x7748, 0xd162, 0x7736,
  0xd134, 0x7723, 0xd105, 0x7711, 0xd0d6, 0x76fe, 0xd0a7, 0x76ec,
  0xd079, 0x76d9, 0xd04a, 0x76c7, 0xd01b, 0x76b4, 0xcfed, 0x76a1,
  0xcfbe, 0x768e, 0xcf90, 0x767b, 0xcf61, 0x7668, 0xcf33, 0x7655,
  0xcf04, 0x7642, 0xced6, 0x762e, 0xcea7, 0x761b, 0xce79, 0x7608,
  0xce4b, 0x75f4, 0xce1c, 0x75e1, 0xcdee, 0x75cd, 0xcdc0, 0x75b9,
  0xcd92, 0x75a6, 0xcd63, 0x7592, 0xcd35, 0x757e, 0xcd07, 0x756a,
  0xccd9, 0x7556, 0xccab, 0x7542, 0xcc7d, 0x752d, 0xcc4f, 0x7519,
  0xcc21, 0x7505, 0xcbf3, 0x74f0, 0xcbc5, 0x74dc, 0xcb97, 0x74c7,
  0xcb69, 0x74b3, 0xcb3c, 0x749e, 0xcb0e, 0x7489, 0xcae0, 0x7475,
  0xcab2, 0x7460, 0xca85, 0x744b, 0xca57, 0x7436, 0xca29, 0x7421,
  0xc9fc, 0x740b, 0xc9ce, 0x73f6, 0xc9a1, 0x73e1, 0xc973, 0x73cb,
  0xc946, 0x73b6, 0xc918, 0x73a0, 0xc8eb, 0x738b, 0xc8be, 0x7375,
  0xc890, 0x735f, 0xc863, 0x734a, 0xc836, 0x7334, 0xc809, 0x731e,
  0xc7db, 0x7308, 0xc7ae, 0x72f2, 0xc781, 0x72dc, 0xc754, 0x72c5,
  0xc727, 0x72af, 0xc6fa, 0x7299, 0xc6cd, 0x7282, 0xc6a0, 0x726c,
  0xc673, 0x7255, 0xc646, 0x723f, 0xc619, 0x7228, 0xc5ed, 0x7211,
  0xc5c0, 0x71fa, 0xc593, 0x71e3, 0xc566, 0x71cc, 0xc53a, 0x71b5,
  0xc50d, 0x719e, 0xc4e0, 0x7187, 0xc4b4, 0x7170, 0xc487, 0x7158,
  0xc45b, 0x7141, 0xc42e, 0x712a, 0xc402, 0x7112, 0xc3d6, 0x70fa,
  0xc3a9, 0x70e3, 0xc37d, 0x70cb, 0xc351, 0x70b3, 0xc324, 0x709b,
  0xc2f8, 0x7083, 0xc2cc, 0x706b, 0xc2a0, 0x7053, 0xc274, 0x703b,
  0xc248, 0x7023, 0xc21c, 0x700b, 0xc1f0, 0x6ff2, 0xc1c4, 0x6fda,
  0xc198, 0x6fc2, 0xc16c, 0x6fa9, 0xc140, 0x6f90, 0xc114, 0x6f78,
  0xc0e9, 0x6f5f, 0xc0bd, 0x6f46, 0xc091, 0x6f2d, 0xc066, 0x6f14,
  0xc03a, 0x6efb, 0xc00f, 0x6ee2, 0xbfe3, 0x6ec9, 0xbfb8, 0x6eb0,
  0xbf8c, 0x6e97, 0xbf61, 0x6e7d, 0xbf35, 0x6e64, 0xbf0a, 0x6e4a,
  0xbedf, 0x6e31, 0xbeb3, 0x6e17, 0xbe88, 0x6dfe, 0xbe5d, 0x6de4,
  0xbe32, 0x6dca, 0xbe07, 0x6db0, 0xbddc, 0x6d96, 0xbdb1, 0x6d7c,
  0xbd86, 0x6d62, 0xbd5b, 0x6d48, 0xbd30, 0x6d2e, 0xbd05, 0x6d14,
  0xbcda, 0x6cf9, 0xbcaf, 0x6cdf, 0xbc85, 0x6cc4, 0xbc5a, 0x6caa,
  0xbc2f, 0x6c8f, 0xbc05, 0x6c75, 0xbbda, 0x6c5a, 0xbbb0, 0x6c3f,
  0xbb85, 0x6c24, 0xbb5b, 0x6c09, 0xbb30, 0x6bee, 0xbb06, 0x6bd3,
  0xbadc, 0x6bb8, 0xbab1, 0x6b9d, 0xba87, 0x6b82, 0xba5d, 0x6b66,
  0xba33, 0x6b4b, 0xba09, 0x6b30, 0xb9df, 0x6b14, 0xb9b5, 0x6af8,
  0xb98b, 0x6add, 0xb961, 0x6ac1, 0xb937, 0x6aa5, 0xb90d, 0x6a89,
  0xb8e3, 0x6a6e, 0xb8b9, 0x6a52, 0xb890, 0x6a36, 0xb866, 0x6a1a,
  0xb83c, 0x69fd, 0xb813, 0x69e1, 0xb7e9, 0x69c5, 0xb7c0, 0x69a9,
  0xb796, 0x698c, 0xb76d, 0x6970, 0xb743, 0x6953, 0xb71a, 0x6937,
  0xb6f1, 0x691a, 0xb6c7, 0x68fd, 0xb69e, 0x68e0, 0xb675, 0x68c4,
  0xb64c, 0x68a7, 0xb623, 0x688a, 0xb5fa, 0x686d, 0xb5d1, 0x6850,
  0xb5a8, 0x6832, 0xb57f, 0x6815, 0xb556, 0x67f8, 0xb52d, 0x67da,
  0xb505, 0x67bd, 0xb4dc, 0x67a0, 0xb4b3, 0x6782, 0xb48b, 0x6764,
  0xb462, 0x6747, 0xb439, 0x6729, 0xb411, 0x670b, 0xb3e9, 0x66ed,
  0xb3c0, 0x66d0, 0xb398, 0x66b2, 0xb36f, 0x6693, 0xb347, 0x6675,
  0xb31f, 0x6657, 0xb2f7, 0x6639, 0xb2cf, 0x661b, 0xb2a7, 0x65fc,
  0xb27f, 0x65de, 0xb257, 0x65c0, 0xb22f, 0x65a1, 0xb207, 0x6582,
  0xb1df, 0x6564, 0xb1b7, 0x6545, 0xb18f, 0x6526, 0xb168, 0x6507,
  0xb140, 0x64e9, 0xb118, 0x64ca, 0xb0f1, 0x64ab, 0xb0c9, 0x648b,
  0xb0a2, 0x646c, 0xb07b, 0x644d, 0xb053, 0x642e, 0xb02c, 0x640f,
  0xb005, 0x63ef, 0xafdd, 0x63d0, 0xafb6, 0x63b0, 0xaf8f, 0x6391,
  0xaf68, 0x6371, 0xaf41, 0x6351, 0xaf1a, 0x6332, 0xaef3, 0x6312,
  0xaecc, 0x62f2, 0xaea5, 0x62d2, 0xae7f, 0x62b2, 0xae58, 0x6292,
  0xae31, 0x6272, 0xae0b, 0x6252, 0xade4, 0x6232, 0xadbd, 0x6211,
  0xad97, 0x61f1, 0xad70, 0x61d1, 0xad4a, 0x61b0, 0xad24, 0x6190,
  0xacfd, 0x616f, 0xacd7, 0x614e, 0xacb1, 0x612e, 0xac8b, 0x610d,
  0xac65, 0x60ec, 0xac3f, 0x60cb, 0xac19, 0x60aa, 0xabf3, 0x6089,
  0xabcd, 0x6068, 0xaba7, 0x6047, 0xab81, 0x6026, 0xab5c, 0x6005,
  0xab36, 0x5fe4, 0xab10, 0x5fc2, 0xaaeb, 0x5fa1, 0xaac5, 0x5f80,
  0xaaa0, 0x5f5e, 0xaa7a, 0x5f3c, 0xaa55, 0x5f1b, 0xaa30, 0x5ef9,
  0xaa0a, 0x5ed7, 0xa9e5, 0x5eb6, 0xa9c0, 0x5e94, 0xa99b, 0x5e72,
  0xa976, 0x5e50, 0xa951, 0x5e2e, 0xa92c, 0x5e0c, 0xa907, 0x5dea,
  0xa8e2, 0x5dc8, 0xa8bd, 0x5da5, 0xa899, 0x5d83, 0xa874, 0x5d61,
  0xa84f, 0x5d3e, 0xa82b, 0x5d1c, 0xa806, 0x5cf9, 0xa7e2, 0x5cd7,
  0xa7bd, 0x5cb4, 0xa799, 0x5c91, 0xa774, 0x5c6f, 0xa750, 0x5c4c,
  0xa72c, 0x5c29, 0xa708, 0x5c06, 0xa6e4, 0x5be3, 0xa6c0, 0x5bc0,
  0xa69c, 0x5b9d, 0xa678, 0x5b7a, 0xa654, 0x5b57, 0xa630, 0x5b34,
  0xa60c, 0x5b10, 0xa5e8, 0x5aed, 0xa5c5, 0x5ac9, 0xa5a1, 0x5aa6,
  0xa57e, 0x5a82, 0xa55a, 0x5a5f, 0xa537, 0x5a3b, 0xa513, 0x5a18,
  0xa4f0, 0x59f4, 0xa4cc, 0x59d0, 0xa4a9, 0x59ac, 0xa486, 0x5988,
  0xa463, 0x5964, 0xa440, 0x5940, 0xa41d, 0x591c, 0xa3fa, 0x58f8,
  0xa3d7, 0x58d4, 0xa3b4, 0x58b0, 0xa391, 0x588c, 0xa36f, 0x5867,
  0xa34c, 0x5843, 0xa329, 0x581e, 0xa307, 0x57fa, 0xa2e4, 0x57d5,
  0xa2c2, 0x57b1, 0xa29f, 0x578c, 0xa27d, 0x5767, 0xa25b, 0x5743,
  0xa238, 0x571e, 0xa216, 0x56f9, 0xa1f4, 0x56d4, 0xa1d2, 0x56af,
  0xa1b0, 0x568a, 0xa18e, 0x5665, 0xa16c, 0x5640, 0xa14a, 0x561b,
  0xa129, 0x55f6, 0xa107, 0x55d0, 0xa0e5, 0x55ab, 0xa0c4, 0x5586,
  0xa0a2, 0x5560, 0xa080, 0x553b, 0xa05f, 0x5515, 0xa03e, 0x54f0,
  0xa01c, 0x54ca, 0x9ffb, 0x54a4, 0x9fda, 0x547f, 0x9fb9, 0x5459,
  0x9f98, 0x5433, 0x9f77, 0x540d, 0x9f56, 0x53e7, 0x9f35, 0x53c1,
  0x9f14, 0x539b, 0x9ef3, 0x5375, 0x9ed2, 0x534f, 0x9eb2, 0x5329,
  0x9e91, 0x5303, 0x9e70, 0x52dc, 0x9e50, 0x52b6, 0x9e2f, 0x5290,
  0x9e0f, 0x5269, 0x9def, 0x5243, 0x9dce, 0x521c, 0x9dae, 0x51f5,
  0x9d8e, 0x51cf, 0x9d6e, 0x51a8, 0x9d4e, 0x5181, 0x9d2e, 0x515b,
  0x9d0e, 0x5134, 0x9cee, 0x510d, 0x9cce, 0x50e6, 0x9caf, 0x50bf,
  0x9c8f, 0x5098, 0x9c6f, 0x5071, 0x9c50, 0x504a, 0x9c30, 0x5023,
  0x9c11, 0x4ffb, 0x9bf1, 0x4fd4, 0x9bd2, 0x4fad, 0x9bb3, 0x4f85,
  0x9b94, 0x4f5e, 0x9b75, 0x4f37, 0x9b55, 0x4f0f, 0x9b36, 0x4ee8,
  0x9b17, 0x4ec0, 0x9af9, 0x4e98, 0x9ada, 0x4e71, 0x9abb, 0x4e49,
  0x9a9c, 0x4e21, 0x9a7e, 0x4df9, 0x9a5f, 0x4dd1, 0x9a40, 0x4da9,
  0x9a22, 0x4d81, 0x9a04, 0x4d59, 0x99e5, 0x4d31, 0x99c7, 0x4d09,
  0x99a9, 0x4ce1, 0x998b, 0x4cb9, 0x996d, 0x4c91, 0x994e, 0x4c68,
  0x9930, 0x4c40, 0x9913, 0x4c17, 0x98f5, 0x4bef, 0x98d7, 0x4bc7,
  0x98b9, 0x4b9e, 0x989c, 0x4b75, 0x987e, 0x4b4d, 0x9860, 0x4b24,
  0x9843, 0x4afb, 0x9826, 0x4ad3, 0x9808, 0x4aaa, 0x97eb, 0x4a81,
  0x97ce, 0x4a58, 0x97b0, 0x4a2f, 0x9793, 0x4a06, 0x9776, 0x49dd,
  0x9759, 0x49b4, 0x973c, 0x498b, 0x9720, 0x4962, 0x9703, 0x4939,
  0x96e6, 0x490f, 0x96c9, 0x48e6, 0x96ad, 0x48bd, 0x9690, 0x4893,
  0x9674, 0x486a, 0x9657, 0x4840, 0x963b, 0x4817, 0x961f, 0x47ed,
  0x9603, 0x47c4, 0x95e6, 0x479a, 0x95ca, 0x4770, 0x95ae, 0x4747,
  0x9592, 0x471d, 0x9577, 0x46f3, 0x955b, 0x46c9, 0x953f, 0x469f,
  0x9523, 0x4675, 0x9508, 0x464b, 0x94ec, 0x4621, 0x94d0, 0x45f7,
  0x94b5, 0x45cd, 0x949a, 0x45a3, 0x947e, 0x4579, 0x9463, 0x454f,
  0x9448, 0x4524, 0x942d, 0x44fa, 0x9412, 0x44d0, 0x93f7, 0x44a5,
  0x93dc, 0x447b, 0x93c1, 0x4450, 0x93a6, 0x4426, 0x938b, 0x43fb,
  0x9371, 0x43d1, 0x9356, 0x43a6, 0x933c, 0x437b, 0x9321, 0x4351,
  0x9307, 0x4326, 0x92ec, 0x42fb, 0x92d2, 0x42d0, 0x92b8, 0x42a5,
  0x929e, 0x427a, 0x9284, 0x424f, 0x926a, 0x4224, 0x9250, 0x41f9,
  0x9236, 0x41ce, 0x921c, 0x41a3, 0x9202, 0x4178, 0x91e9, 0x414d,
  0x91cf, 0x4121, 0x91b6, 0x40f6, 0x919c, 0x40cb, 0x9183, 0x409f,
  0x9169, 0x4074, 0x9150, 0x4048, 0x9137, 0x401d, 0x911e, 0x3ff1,
  0x9105, 0x3fc6, 0x90ec, 0x3f9a, 0x90d3, 0x3f6f, 0x90ba, 0x3f43,
  0x90a1, 0x3f17, 0x9088, 0x3eec, 0x9070, 0x3ec0, 0x9057, 0x3e94,
  0x903e, 0x3e68, 0x9026, 0x3e3c, 0x900e, 0x3e10, 0x8ff5, 0x3de4,
  0x8fdd, 0x3db8, 0x8fc5, 0x3d8c, 0x8fad, 0x3d60, 0x8f95, 0x3d34,
  0x8f7d, 0x3d08, 0x8f65, 0x3cdc, 0x8f4d, 0x3caf, 0x8f35, 0x3c83,
  0x8f1d, 0x3c57, 0x8f06, 0x3c2a, 0x8eee, 0x3bfe, 0x8ed6, 0x3bd2,
  0x8ebf, 0x3ba5, 0x8ea8, 0x3b79, 0x8e90, 0x3b4c, 0x8e79, 0x3b20,
  0x8e62, 0x3af3, 0x8e4b, 0x3ac6, 0x8e34, 0x3a9a, 0x8e1d, 0x3a6d,
  0x8e06, 0x3a40, 0x8def, 0x3a13, 0x8dd8, 0x39e7, 0x8dc1, 0x39ba,
  0x8dab, 0x398d, 0x8d94, 0x3960, 0x8d7e, 0x3933, 0x8d67, 0x3906,
  0x8d51, 0x38d9, 0x8d3b, 0x38ac, 0x8d24, 0x387f, 0x8d0e, 0x3852,
  0x8cf8, 0x3825, 0x8ce2, 0x37f7, 0x8ccc, 0x37ca, 0x8cb6, 0x379d,
  0x8ca1, 0x3770, 0x8c8b, 0x3742, 0x8c75, 0x3715, 0x8c60, 0x36e8,
  0x8c4a, 0x36ba, 0x8c35, 0x368d, 0x8c1f, 0x365f, 0x8c0a, 0x3632,
  0x8bf5, 0x3604, 0x8bdf, 0x35d7, 0x8bca, 0x35a9, 0x8bb5, 0x357b,
  0x8ba0, 0x354e, 0x8b8b, 0x3520, 0x8b77, 0x34f2, 0x8b62, 0x34c4,
  0x8b4d, 0x3497, 0x8b39, 0x3469, 0x8b24, 0x343b, 0x8b10, 0x340d,
  0x8afb, 0x33df, 0x8ae7, 0x33b1, 0x8ad3, 0x3383, 0x8abe, 0x3355,
  0x8aaa, 0x3327, 0x8a96, 0x32f9, 0x8a82, 0x32cb, 0x8a6e, 0x329d,
  0x8a5a, 0x326e, 0x8a47, 0x3240, 0x8a33, 0x3212, 0x8a1f, 0x31e4,
  0x8a0c, 0x31b5, 0x89f8, 0x3187, 0x89e5, 0x3159, 0x89d2, 0x312a,
  0x89be, 0x30fc, 0x89ab, 0x30cd, 0x8998, 0x309f, 0x8985, 0x3070,
  0x8972, 0x3042, 0x895f, 0x3013, 0x894c, 0x2fe5, 0x8939, 0x2fb6,
  0x8927, 0x2f87, 0x8914, 0x2f59, 0x8902, 0x2f2a, 0x88ef, 0x2efb,
  0x88dd, 0x2ecc, 0x88ca, 0x2e9e, 0x88b8, 0x2e6f, 0x88a6, 0x2e40,
  0x8894, 0x2e11, 0x8882, 0x2de2, 0x8870, 0x2db3, 0x885e, 0x2d84,
  0x884c, 0x2d55, 0x883a, 0x2d26, 0x8828, 0x2cf7, 0x8817, 0x2cc8,
  0x8805, 0x2c99, 0x87f4, 0x2c6a, 0x87e2, 0x2c3b, 0x87d1, 0x2c0c,
  0x87c0, 0x2bdc, 0x87af, 0x2bad, 0x879d, 0x2b7e, 0x878c, 0x2b4f,
  0x877b, 0x2b1f, 0x876b, 0x2af0, 0x875a, 0x2ac1, 0x8749, 0x2a91,
  0x8738, 0x2a62, 0x8728, 0x2a32, 0x8717, 0x2a03, 0x8707, 0x29d3,
  0x86f6, 0x29a4, 0x86e6, 0x2974, 0x86d6, 0x2945, 0x86c6, 0x2915,
  0x86b6, 0x28e5, 0x86a5, 0x28b6, 0x8696, 0x2886, 0x8686, 0x2856,
  0x8676, 0x2827, 0x8666, 0x27f7, 0x8656, 0x27c7, 0x8647, 0x2797,
  0x8637, 0x2768, 0x8628, 0x2738, 0x8619, 0x2708, 0x8609, 0x26d8,
  0x85fa, 0x26a8, 0x85eb, 0x2678, 0x85dc, 0x2648, 0x85cd, 0x2618,
  0x85be, 0x25e8, 0x85af, 0x25b8, 0x85a0, 0x2588, 0x8592, 0x2558,
  0x8583, 0x2528, 0x8574, 0x24f8, 0x8566, 0x24c8, 0x8558, 0x2498,
  0x8549, 0x2467, 0x853b, 0x2437, 0x852d, 0x2407, 0x851f, 0x23d7,
  0x8511, 0x23a7, 0x8503, 0x2376, 0x84f5, 0x2346, 0x84e7, 0x2316,
  0x84d9, 0x22e5, 0x84cc, 0x22b5, 0x84be, 0x2284, 0x84b0, 0x2254,
  0x84a3, 0x2224, 0x8496, 0x21f3, 0x8488, 0x21c3, 0x847b, 0x2192,
  0x846e, 0x2162, 0x8461, 0x2131, 0x8454, 0x2101, 0x8447, 0x20d0,
  0x843a, 0x209f, 0x842d, 0x206f, 0x8421, 0x203e, 0x8414, 0x200e,
  0x8407, 0x1fdd, 0x83fb, 0x1fac, 0x83ef, 0x1f7b, 0x83e2, 0x1f4b,
  0x83d6, 0x1f1a, 0x83ca, 0x1ee9, 0x83be, 0x1eb8, 0x83b2, 0x1e88,
  0x83a6, 0x1e57, 0x839a, 0x1e26, 0x838e, 0x1df5, 0x8382, 0x1dc4,
  0x8377, 0x1d93, 0x836b, 0x1d62, 0x8360, 0x1d31, 0x8354, 0x1d01,
  0x8349, 0x1cd0, 0x833e, 0x1c9f, 0x8332, 0x1c6e, 0x8327, 0x1c3d,
  0x831c, 0x1c0c, 0x8311, 0x1bda, 0x8306, 0x1ba9, 0x82fb, 0x1b78,
  0x82f1, 0x1b47, 0x82e6, 0x1b16, 0x82db, 0x1ae5, 0x82d1, 0x1ab4,
  0x82c6, 0x1a83, 0x82bc, 0x1a51, 0x82b2, 0x1a20, 0x82a8, 0x19ef,
  0x829d, 0x19be, 0x8293, 0x198d, 0x8289, 0x195b, 0x827f, 0x192a,
  0x8276, 0x18f9, 0x826c, 0x18c7, 0x8262, 0x1896, 0x8259, 0x1865,
  0x824f, 0x1833, 0x8246, 0x1802, 0x823c, 0x17d1, 0x8233, 0x179f,
  0x822a, 0x176e, 0x8220, 0x173c, 0x8217, 0x170b, 0x820e, 0x16da,
  0x8205, 0x16a8, 0x81fd, 0x1677, 0x81f4, 0x1645, 0x81eb, 0x1614,
  0x81e2, 0x15e2, 0x81da, 0x15b1, 0x81d1, 0x157f, 0x81c9, 0x154d,
  0x81c1, 0x151c, 0x81b8, 0x14ea, 0x81b0, 0x14b9, 0x81a8, 0x1487,
  0x81a0, 0x1455, 0x8198, 0x1424, 0x8190, 0x13f2, 0x8188, 0x13c1,
  0x8181, 0x138f, 0x8179, 0x135d, 0x8172, 0x132b, 0x816a, 0x12fa,
  0x8163, 0x12c8, 0x815b, 0x1296, 0x8154, 0x1265, 0x814d, 0x1233,
  0x8146, 0x1201, 0x813f, 0x11cf, 0x8138, 0x119e, 0x8131, 0x116c,
  0x812a, 0x113a, 0x8123, 0x1108, 0x811d, 0x10d6, 0x8116, 0x10a4,
  0x8110, 0x1073, 0x8109, 0x1041, 0x8103, 0x100f, 0x80fd, 0xfdd,
  0x80f6, 0xfab, 0x80f0, 0xf79, 0x80ea, 0xf47, 0x80e4, 0xf15,
  0x80de, 0xee4, 0x80d9, 0xeb2, 0x80d3, 0xe80, 0x80cd, 0xe4e,
  0x80c8, 0xe1c, 0x80c2, 0xdea, 0x80bd, 0xdb8, 0x80b7, 0xd86,
  0x80b2, 0xd54, 0x80ad, 0xd22, 0x80a8, 0xcf0, 0x80a3, 0xcbe,
  0x809e, 0xc8c, 0x8099, 0xc5a, 0x8094, 0xc28, 0x808f, 0xbf6,
  0x808b, 0xbc4, 0x8086, 0xb92, 0x8082, 0xb60, 0x807d, 0xb2d,
  0x8079, 0xafb, 0x8075, 0xac9, 0x8070, 0xa97, 0x806c, 0xa65,
  0x8068, 0xa33, 0x8064, 0xa01, 0x8060, 0x9cf, 0x805d, 0x99d,
  0x8059, 0x96b, 0x8055, 0x938, 0x8052, 0x906, 0x804e, 0x8d4,
  0x804b, 0x8a2, 0x8047, 0x870, 0x8044, 0x83e, 0x8041, 0x80c,
  0x803e, 0x7d9, 0x803b, 0x7a7, 0x8038, 0x775, 0x8035, 0x743,
  0x8032, 0x711, 0x802f, 0x6de, 0x802d, 0x6ac, 0x802a, 0x67a,
  0x8027, 0x648, 0x8025, 0x616, 0x8023, 0x5e3, 0x8020, 0x5b1,
  0x801e, 0x57f, 0x801c, 0x54d, 0x801a, 0x51b, 0x8018, 0x4e8,
  0x8016, 0x4b6, 0x8014, 0x484, 0x8013, 0x452, 0x8011, 0x41f,
  0x800f, 0x3ed, 0x800e, 0x3bb, 0x800c, 0x389, 0x800b, 0x356,
  0x800a, 0x324, 0x8009, 0x2f2, 0x8008, 0x2c0, 0x8007, 0x28d,
  0x8006, 0x25b, 0x8005, 0x229, 0x8004, 0x1f7, 0x8003, 0x1c4,
  0x8002, 0x192, 0x8002, 0x160, 0x8001, 0x12e, 0x8001, 0xfb,
  0x8001, 0xc9, 0x8000, 0x97, 0x8000, 0x65, 0x8000, 0x32,
  0x8000, 0x0, 0x8000, 0xffce, 0x8000, 0xff9b, 0x8000, 0xff69,
  0x8001, 0xff37, 0x8001, 0xff05, 0x8001, 0xfed2, 0x8002, 0xfea0,
  0x8002, 0xfe6e, 0x8003, 0xfe3c, 0x8004, 0xfe09, 0x8005, 0xfdd7,
  0x8006, 0xfda5, 0x8007, 0xfd73, 0x8008, 0xfd40, 0x8009, 0xfd0e,
  0x800a, 0xfcdc, 0x800b, 0xfcaa, 0x800c, 0xfc77, 0x800e, 0xfc45,
  0x800f, 0xfc13, 0x8011, 0xfbe1, 0x8013, 0xfbae, 0x8014, 0xfb7c,
  0x8016, 0xfb4a, 0x8018, 0xfb18, 0x801a, 0xfae5, 0x801c, 0xfab3,
  0x801e, 0xfa81, 0x8020, 0xfa4f, 0x8023, 0xfa1d, 0x8025, 0xf9ea,
  0x8027, 0xf9b8, 0x802a, 0xf986, 0x802d, 0xf954, 0x802f, 0xf922,
  0x8032, 0xf8ef, 0x8035, 0xf8bd, 0x8038, 0xf88b, 0x803b, 0xf859,
  0x803e, 0xf827, 0x8041, 0xf7f4, 0x8044, 0xf7c2, 0x8047, 0xf790,
  0x804b, 0xf75e, 0x804e, 0xf72c, 0x8052, 0xf6fa, 0x8055, 0xf6c8,
  0x8059, 0xf695, 0x805d, 0xf663, 0x8060, 0xf631, 0x8064, 0xf5ff,
  0x8068, 0xf5cd, 0x806c, 0xf59b, 0x8070, 0xf569, 0x8075, 0xf537,
  0x8079, 0xf505, 0x807d, 0xf4d3, 0x8082, 0xf4a0, 0x8086, 0xf46e,
  0x808b, 0xf43c, 0x808f, 0xf40a, 0x8094, 0xf3d8, 0x8099, 0xf3a6,
  0x809e, 0xf374, 0x80a3, 0xf342, 0x80a8, 0xf310, 0x80ad, 0xf2de,
  0x80b2, 0xf2ac, 0x80b7, 0xf27a, 0x80bd, 0xf248, 0x80c2, 0xf216,
  0x80c8, 0xf1e4, 0x80cd, 0xf1b2, 0x80d3, 0xf180, 0x80d9, 0xf14e,
  0x80de, 0xf11c, 0x80e4, 0xf0eb, 0x80ea, 0xf0b9, 0x80f0, 0xf087,
  0x80f6, 0xf055, 0x80fd, 0xf023, 0x8103, 0xeff1, 0x8109, 0xefbf,
  0x8110, 0xef8d, 0x8116, 0xef5c, 0x811d, 0xef2a, 0x8123, 0xeef8,
  0x812a, 0xeec6, 0x8131, 0xee94, 0x8138, 0xee62, 0x813f, 0xee31,
  0x8146, 0xedff, 0x814d, 0xedcd, 0x8154, 0xed9b, 0x815b, 0xed6a,
  0x8163, 0xed38, 0x816a, 0xed06, 0x8172, 0xecd5, 0x8179, 0xeca3,
  0x8181, 0xec71, 0x8188, 0xec3f, 0x8190, 0xec0e, 0x8198, 0xebdc,
  0x81a0, 0xebab, 0x81a8, 0xeb79, 0x81b0, 0xeb47, 0x81b8, 0xeb16,
  0x81c1, 0xeae4, 0x81c9, 0xeab3, 0x81d1, 0xea81, 0x81da, 0xea4f,
  0x81e2, 0xea1e, 0x81eb, 0xe9ec, 0x81f4, 0xe9bb, 0x81fd, 0xe989,
  0x8205, 0xe958, 0x820e, 0xe926, 0x8217, 0xe8f5, 0x8220, 0xe8c4,
  0x822a, 0xe892, 0x8233, 0xe861, 0x823c, 0xe82f, 0x8246, 0xe7fe,
  0x824f, 0xe7cd, 0x8259, 0xe79b, 0x8262, 0xe76a, 0x826c, 0xe739,
  0x8276, 0xe707, 0x827f, 0xe6d6, 0x8289, 0xe6a5, 0x8293, 0xe673,
  0x829d, 0xe642, 0x82a8, 0xe611, 0x82b2, 0xe5e0, 0x82bc, 0xe5af,
  0x82c6, 0xe57d, 0x82d1, 0xe54c, 0x82db, 0xe51b, 0x82e6, 0xe4ea,
  0x82f1, 0xe4b9, 0x82fb, 0xe488, 0x8306, 0xe457, 0x8311, 0xe426,
  0x831c, 0xe3f4, 0x8327, 0xe3c3, 0x8332, 0xe392, 0x833e, 0xe361,
  0x8349, 0xe330, 0x8354, 0xe2ff, 0x8360, 0xe2cf, 0x836b, 0xe29e,
  0x8377, 0xe26d, 0x8382, 0xe23c, 0x838e, 0xe20b, 0x839a, 0xe1da,
  0x83a6, 0xe1a9, 0x83b2, 0xe178, 0x83be, 0xe148, 0x83ca, 0xe117,
  0x83d6, 0xe0e6, 0x83e2, 0xe0b5, 0x83ef, 0xe085, 0x83fb, 0xe054,
  0x8407, 0xe023, 0x8414, 0xdff2, 0x8421, 0xdfc2, 0x842d, 0xdf91,
  0x843a, 0xdf61, 0x8447, 0xdf30, 0x8454, 0xdeff, 0x8461, 0xdecf,
  0x846e, 0xde9e, 0x847b, 0xde6e, 0x8488, 0xde3d, 0x8496, 0xde0d,
  0x84a3, 0xdddc, 0x84b0, 0xddac, 0x84be, 0xdd7c, 0x84cc, 0xdd4b,
  0x84d9, 0xdd1b, 0x84e7, 0xdcea, 0x84f5, 0xdcba, 0x8503, 0xdc8a,
  0x8511, 0xdc59, 0x851f, 0xdc29, 0x852d, 0xdbf9, 0x853b, 0xdbc9,
  0x8549, 0xdb99, 0x8558, 0xdb68, 0x8566, 0xdb38, 0x8574, 0xdb08,
  0x8583, 0xdad8, 0x8592, 0xdaa8, 0x85a0, 0xda78, 0x85af, 0xda48,
  0x85be, 0xda18, 0x85cd, 0xd9e8, 0x85dc, 0xd9b8, 0x85eb, 0xd988,
  0x85fa, 0xd958, 0x8609, 0xd928, 0x8619, 0xd8f8, 0x8628, 0xd8c8,
  0x8637, 0xd898, 0x8647, 0xd869, 0x8656, 0xd839, 0x8666, 0xd809,
  0x8676, 0xd7d9, 0x8686, 0xd7aa, 0x8696, 0xd77a, 0x86a5, 0xd74a,
  0x86b6, 0xd71b, 0x86c6, 0xd6eb, 0x86d6, 0xd6bb, 0x86e6, 0xd68c,
  0x86f6, 0xd65c, 0x8707, 0xd62d, 0x8717, 0xd5fd, 0x8728, 0xd5ce,
  0x8738, 0xd59e, 0x8749, 0xd56f, 0x875a, 0xd53f, 0x876b, 0xd510,
  0x877b, 0xd4e1, 0x878c, 0xd4b1, 0x879d, 0xd482, 0x87af, 0xd453,
  0x87c0, 0xd424, 0x87d1, 0xd3f4, 0x87e2, 0xd3c5, 0x87f4, 0xd396,
  0x8805, 0xd367, 0x8817, 0xd338, 0x8828, 0xd309, 0x883a, 0xd2da,
  0x884c, 0xd2ab, 0x885e, 0xd27c, 0x8870, 0xd24d, 0x8882, 0xd21e,
  0x8894, 0xd1ef, 0x88a6, 0xd1c0, 0x88b8, 0xd191, 0x88ca, 0xd162,
  0x88dd, 0xd134, 0x88ef, 0xd105, 0x8902, 0xd0d6, 0x8914, 0xd0a7,
  0x8927, 0xd079, 0x8939, 0xd04a, 0x894c, 0xd01b, 0x895f, 0xcfed,
  0x8972, 0xcfbe, 0x8985, 0xcf90, 0x8998, 0xcf61, 0x89ab, 0xcf33,
  0x89be, 0xcf04, 0x89d2, 0xced6, 0x89e5, 0xcea7, 0x89f8, 0xce79,
  0x8a0c, 0xce4b, 0x8a1f, 0xce1c, 0x8a33, 0xcdee, 0x8a47, 0xcdc0,
  0x8a5a, 0xcd92, 0x8a6e, 0xcd63, 0x8a82, 0xcd35, 0x8a96, 0xcd07,
  0x8aaa, 0xccd9, 0x8abe, 0xccab, 0x8ad3, 0xcc7d, 0x8ae7, 0xcc4f,
  0x8afb, 0xcc21, 0x8b10, 0xcbf3, 0x8b24, 0xcbc5, 0x8b39, 0xcb97,
  0x8b4d, 0xcb69, 0x8b62, 0xcb3c, 0x8b77, 0xcb0e, 0x8b8b, 0xcae0,
  0x8ba0, 0xcab2, 0x8bb5, 0xca85, 0x8bca, 0xca57, 0x8bdf, 0xca29,
  0x8bf5, 0xc9fc, 0x8c0a, 0xc9ce, 0x8c1f, 0xc9a1, 0x8c35, 0xc973,
  0x8c4a, 0xc946, 0x8c60, 0xc918, 0x8c75, 0xc8eb, 0x8c8b, 0xc8be,
  0x8ca1, 0xc890, 0x8cb6, 0xc863, 0x8ccc, 0xc836, 0x8ce2, 0xc809,
  0x8cf8, 0xc7db, 0x8d0e, 0xc7ae, 0x8d24, 0xc781, 0x8d3b, 0xc754,
  0x8d51, 0xc727, 0x8d67, 0xc6fa, 0x8d7e, 0xc6cd, 0x8d94, 0xc6a0,
  0x8dab, 0xc673, 0x8dc1, 0xc646, 0x8dd8, 0xc619, 0x8def, 0xc5ed,
  0x8e06, 0xc5c0, 0x8e1d, 0xc593, 0x8e34, 0xc566, 0x8e4b, 0xc53a,
  0x8e62, 0xc50d, 0x8e79, 0xc4e0, 0x8e90, 0xc4b4, 0x8ea8, 0xc487,
  0x8ebf, 0xc45b, 0x8ed6, 0xc42e, 0x8eee, 0xc402, 0x8f06, 0xc3d6,
  0x8f1d, 0xc3a9, 0x8f35, 0xc37d, 0x8f4d, 0xc351, 0x8f65, 0xc324,
  0x8f7d, 0xc2f8, 0x8f95, 0xc2cc, 0x8fad, 0xc2a0, 0x8fc5, 0xc274,
  0x8fdd, 0xc248, 0x8ff5, 0xc21c, 0x900e, 0xc1f0, 0x9026, 0xc1c4,
  0x903e, 0xc198, 0x9057, 0xc16c, 0x9070, 0xc140, 0x9088, 0xc114,
  0x90a1, 0xc0e9, 0x90ba, 0xc0bd, 0x90d3, 0xc091, 0x90ec, 0xc066,
  0x9105, 0xc03a, 0x911e, 0xc00f, 0x9137, 0xbfe3, 0x9150, 0xbfb8,
  0x9169, 0xbf8c, 0x9183, 0xbf61, 0x919c, 0xbf35, 0x91b6, 0xbf0a,
  0x91cf, 0xbedf, 0x91e9, 0xbeb3, 0x9202, 0xbe88, 0x921c, 0xbe5d,
  0x9236, 0xbe32, 0x9250, 0xbe07, 0x926a, 0xbddc, 0x9284, 0xbdb1,
  0x929e, 0xbd86, 0x92b8, 0xbd5b, 0x92d2, 0xbd30, 0x92ec, 0xbd05,
  0x9307, 0xbcda, 0x9321, 0xbcaf, 0x933c, 0xbc85, 0x9356, 0xbc5a,
  0x9371, 0xbc2f, 0x938b, 0xbc05, 0x93a6, 0xbbda, 0x93c1, 0xbbb0,
  0x93dc, 0xbb85, 0x93f7, 0xbb5b, 0x9412, 0xbb30, 0x942d, 0xbb06,
  0x9448, 0xbadc, 0x9463, 0xbab1, 0x947e, 0xba87, 0x949a, 0xba5d,
  0x94b5, 0xba33, 0x94d0, 0xba09, 0x94ec, 0xb9df, 0x9508, 0xb9b5,
  0x9523, 0xb98b, 0x953f, 0xb961, 0x955b, 0xb937, 0x9577, 0xb90d,
  0x9592, 0xb8e3, 0x95ae, 0xb8b9, 0x95ca, 0xb890, 0x95e6, 0xb866,
  0x9603, 0xb83c, 0x961f, 0xb813, 0x963b, 0xb7e9, 0x9657, 0xb7c0,
  0x9674, 0xb796, 0x9690, 0xb76d, 0x96ad, 0xb743, 0x96c9, 0xb71a,
  0x96e6, 0xb6f1, 0x9703, 0xb6c7, 0x9720, 0xb69e, 0x973c, 0xb675,
  0x9759, 0xb64c, 0x9776, 0xb623, 0x9793, 0xb5fa, 0x97b0, 0xb5d1,
  0x97ce, 0xb5a8, 0x97eb, 0xb57f, 0x9808, 0xb556, 0x9826, 0xb52d,
  0x9843, 0xb505, 0x9860, 0xb4dc, 0x987e, 0xb4b3, 0x989c, 0xb48b,
  0x98b9, 0xb462, 0x98d7, 0xb439, 0x98f5, 0xb411, 0x9913, 0xb3e9,
  0x9930, 0xb3c0, 0x994e, 0xb398, 0x996d, 0xb36f, 0x998b, 0xb347,
  0x99a9, 0xb31f, 0x99c7, 0xb2f7, 0x99e5, 0xb2cf, 0x9a04, 0xb2a7,
  0x9a22, 0xb27f, 0x9a40, 0xb257, 0x9a5f, 0xb22f, 0x9a7e, 0xb207,
  0x9a9c, 0xb1df, 0x9abb, 0xb1b7, 0x9ada, 0xb18f, 0x9af9, 0xb168,
  0x9b17, 0xb140, 0x9b36, 0xb118, 0x9b55, 0xb0f1, 0x9b75, 0xb0c9,
  0x9b94, 0xb0a2, 0x9bb3, 0xb07b, 0x9bd2, 0xb053, 0x9bf1, 0xb02c,
  0x9c11, 0xb005, 0x9c30, 0xafdd, 0x9c50, 0xafb6, 0x9c6f, 0xaf8f,
  0x9c8f, 0xaf68, 0x9caf, 0xaf41, 0x9cce, 0xaf1a, 0x9cee, 0xaef3,
  0x9d0e, 0xaecc, 0x9d2e, 0xaea5, 0x9d4e, 0xae7f, 0x9d6e, 0xae58,
  0x9d8e, 0xae31, 0x9dae, 0xae0b, 0x9dce, 0xade4, 0x9def, 0xadbd,
  0x9e0f, 0xad97, 0x9e2f, 0xad70, 0x9e50, 0xad4a, 0x9e70, 0xad24,
  0x9e91, 0xacfd, 0x9eb2, 0xacd7, 0x9ed2, 0xacb1, 0x9ef3, 0xac8b,
  0x9f14, 0xac65, 0x9f35, 0xac3f, 0x9f56, 0xac19, 0x9f77, 0xabf3,
  0x9f98, 0xabcd, 0x9fb9, 0xaba7, 0x9fda, 0xab81, 0x9ffb, 0xab5c,
  0xa01c, 0xab36, 0xa03e, 0xab10, 0xa05f, 0xaaeb, 0xa080, 0xaac5,
  0xa0a2, 0xaaa0, 0xa0c4, 0xaa7a, 0xa0e5, 0xaa55, 0xa107, 0xaa30,
  0xa129, 0xaa0a, 0xa14a, 0xa9e5, 0xa16c, 0xa9c0, 0xa18e, 0xa99b,
  0xa1b0, 0xa976, 0xa1d2, 0xa951, 0xa1f4, 0xa92c, 0xa216, 0xa907,
  0xa238, 0xa8e2, 0xa25b, 0xa8bd, 0xa27d, 0xa899, 0xa29f, 0xa874,
  0xa2c2, 0xa84f, 0xa2e4, 0xa82b, 0xa307, 0xa806, 0xa329, 0xa7e2,
  0xa34c, 0xa7bd, 0xa36f, 0xa799, 0xa391, 0xa774, 0xa3b4, 0xa750,
  0xa3d7, 0xa72c, 0xa3fa, 0xa708, 0xa41d, 0xa6e4, 0xa440, 0xa6c0,
  0xa463, 0xa69c, 0xa486, 0xa678, 0xa4a9, 0xa654, 0xa4cc, 0xa630,
  0xa4f0, 0xa60c, 0xa513, 0xa5e8, 0xa537, 0xa5c5, 0xa55a, 0xa5a1,
  0xa57e, 0xa57e, 0xa5a1, 0xa55a, 0xa5c5, 0xa537, 0xa5e8, 0xa513,
  0xa60c, 0xa4f0, 0xa630, 0xa4cc, 0xa654, 0xa4a9, 0xa678, 0xa486,
  0xa69c, 0xa463, 0xa6c0, 0xa440, 0xa6e4, 0xa41d, 0xa708, 0xa3fa,
  0xa72c, 0xa3d7, 0xa750, 0xa3b4, 0xa774, 0xa391, 0xa799, 0xa36f,
  0xa7bd, 0xa34c, 0xa7e2, 0xa329, 0xa806, 0xa307, 0xa82b, 0xa2e4,
  0xa84f, 0xa2c2, 0xa874, 0xa29f, 0xa899, 0xa27d, 0xa8bd, 0xa25b,
  0xa8e2, 0xa238, 0xa907, 0xa216, 0xa92c, 0xa1f4, 0xa951, 0xa1d2,
  0xa976, 0xa1b0, 0xa99b, 0xa18e, 0xa9c0, 0xa16c, 0xa9e5, 0xa14a,
  0xaa0a, 0xa129, 0xaa30, 0xa107, 0xaa55, 0xa0e5, 0xaa7a, 0xa0c4,
  0xaaa0, 0xa0a2, 0xaac5, 0xa080, 0xaaeb, 0xa05f, 0xab10, 0xa03e,
  0xab36, 0xa01c, 0xab5c, 0x9ffb, 0xab81, 0x9fda, 0xaba7, 0x9fb9,
  0xabcd, 0x9f98, 0xabf3, 0x9f77, 0xac19, 0x9f56, 0xac3f, 0x9f35,
  0xac65, 0x9f14, 0xac8b, 0x9ef3, 0xacb1, 0x9ed2, 0xacd7, 0x9eb2,
  0xacfd, 0x9e91, 0xad24, 0x9e70, 0xad4a, 0x9e50, 0xad70, 0x9e2f,
  0xad97, 0x9e0f, 0xadbd, 0x9def, 0xade4, 0x9dce, 0xae0b, 0x9dae,
  0xae31, 0x9d8e, 0xae58, 0x9d6e, 0xae7f, 0x9d4e, 0xaea5, 0x9d2e,
  0xaecc, 0x9d0e, 0xaef3, 0x9cee, 0xaf1a, 0x9cce, 0xaf41, 0x9caf,
  0xaf68, 0x9c8f, 0xaf8f, 0x9c6f, 0xafb6, 0x9c50, 0xafdd, 0x9c30,
  0xb005, 0x9c11, 0xb02c, 0x9bf1, 0xb053, 0x9bd2, 0xb07b, 0x9bb3,
  0xb0a2, 0x9b94, 0xb0c9, 0x9b75, 0xb0f1, 0x9b55, 0xb118, 0x9b36,
  0xb140, 0x9b17, 0xb168, 0x9af9, 0xb18f, 0x9ada, 0xb1b7, 0x9abb,
  0xb1df, 0x9a9c, 0xb207, 0x9a7e, 0xb22f, 0x9a5f, 0xb257, 0x9a40,
  0xb27f, 0x9a22, 0xb2a7, 0x9a04, 0xb2cf, 0x99e5, 0xb2f7, 0x99c7,
  0xb31f, 0x99a9, 0xb347, 0x998b, 0xb36f, 0x996d, 0xb398, 0x994e,
  0xb3c0, 0x9930, 0xb3e9, 0x9913, 0xb411, 0x98f5, 0xb439, 0x98d7,
  0xb462, 0x98b9, 0xb48b, 0x989c, 0xb4b3, 0x987e, 0xb4dc, 0x9860,
  0xb505, 0x9843, 0xb52d, 0x9826, 0xb556, 0x9808, 0xb57f, 0x97eb,
  0xb5a8, 0x97ce, 0xb5d1, 0x97b0, 0xb5fa, 0x9793, 0xb623, 0x9776,
  0xb64c, 0x9759, 0xb675, 0x973c, 0xb69e, 0x9720, 0xb6c7, 0x9703,
  0xb6f1, 0x96e6, 0xb71a, 0x96c9, 0xb743, 0x96ad, 0xb76d, 0x9690,
  0xb796, 0x9674, 0xb7c0, 0x9657, 0xb7e9, 0x963b, 0xb813, 0x961f,
  0xb83c, 0x9603, 0xb866, 0x95e6, 0xb890, 0x95ca, 0xb8b9, 0x95ae,
  0xb8e3, 0x9592, 0xb90d, 0x9577, 0xb937, 0x955b, 0xb961, 0x953f,
  0xb98b, 0x9523, 0xb9b5, 0x9508, 0xb9df, 0x94ec, 0xba09, 0x94d0,
  0xba33, 0x94b5, 0xba5d, 0x949a, 0xba87, 0x947e, 0xbab1, 0x9463,
  0xbadc, 0x9448, 0xbb06, 0x942d, 0xbb30, 0x9412, 0xbb5b, 0x93f7,
  0xbb85, 0x93dc, 0xbbb0, 0x93c1, 0xbbda, 0x93a6, 0xbc05, 0x938b,
  0xbc2f, 0x9371, 0xbc5a, 0x9356, 0xbc85, 0x933c, 0xbcaf, 0x9321,
  0xbcda, 0x9307, 0xbd05, 0x92ec, 0xbd30, 0x92d2, 0xbd5b, 0x92b8,
  0xbd86, 0x929e, 0xbdb1, 0x9284, 0xbddc, 0x926a, 0xbe07, 0x9250,
  0xbe32, 0x9236, 0xbe5d, 0x921c, 0xbe88, 0x9202, 0xbeb3, 0x91e9,
  0xbedf, 0x91cf, 0xbf0a, 0x91b6, 0xbf35, 0x919c, 0xbf61, 0x9183,
  0xbf8c, 0x9169, 0xbfb8, 0x9150, 0xbfe3, 0x9137, 0xc00f, 0x911e,
  0xc03a, 0x9105, 0xc066, 0x90ec, 0xc091, 0x90d3, 0xc0bd, 0x90ba,
  0xc0e9, 0x90a1, 0xc114, 0x9088, 0xc140, 0x9070, 0xc16c, 0x9057,
  0xc198, 0x903e, 0xc1c4, 0x9026, 0xc1f0, 0x900e, 0xc21c, 0x8ff5,
  0xc248, 0x8fdd, 0xc274, 0x8fc5, 0xc2a0, 0x8fad, 0xc2cc, 0x8f95,
  0xc2f8, 0x8f7d, 0xc324, 0x8f65, 0xc351, 0x8f4d, 0xc37d, 0x8f35,
  0xc3a9, 0x8f1d, 0xc3d6, 0x8f06, 0xc402, 0x8eee, 0xc42e, 0x8ed6,
  0xc45b, 0x8ebf, 0xc487, 0x8ea8, 0xc4b4, 0x8e90, 0xc4e0, 0x8e79,
  0xc50d, 0x8e62, 0xc53a, 0x8e4b, 0xc566, 0x8e34, 0xc593, 0x8e1d,
  0xc5c0, 0x8e06, 0xc5ed, 0x8def, 0xc619, 0x8dd8, 0xc646, 0x8dc1,
  0xc673, 0x8dab, 0xc6a0, 0x8d94, 0xc6cd, 0x8d7e, 0xc6fa, 0x8d67,
  0xc727, 0x8d51, 0xc754, 0x8d3b, 0xc781, 0x8d24, 0xc7ae, 0x8d0e,
  0xc7db, 0x8cf8, 0xc809, 0x8ce2, 0xc836, 0x8ccc, 0xc863, 0x8cb6,
  0xc890, 0x8ca1, 0xc8be, 0x8c8b, 0xc8eb, 0x8c75, 0xc918, 0x8c60,
  0xc946, 0x8c4a, 0xc973, 0x8c35, 0xc9a1, 0x8c1f, 0xc9ce, 0x8c0a,
  0xc9fc, 0x8bf5, 0xca29, 0x8bdf, 0xca57, 0x8bca, 0xca85, 0x8bb5,
  0xcab2, 0x8ba0, 0xcae0, 0x8b8b, 0xcb0e, 0x8b77, 0xcb3c, 0x8b62,
  0xcb69, 0x8b4d, 0xcb97, 0x8b39, 0xcbc5, 0x8b24, 0xcbf3, 0x8b10,
  0xcc21, 0x8afb, 0xcc4f, 0x8ae7, 0xcc7d, 0x8ad3, 0xccab, 0x8abe,
  0xccd9, 0x8aaa, 0xcd07, 0x8a96, 0xcd35, 0x8a82, 0xcd63, 0x8a6e,
  0xcd92, 0x8a5a, 0xcdc0, 0x8a47, 0xcdee, 0x8a33, 0xce1c, 0x8a1f,
  0xce4b, 0x8a0c, 0xce79, 0x89f8, 0xcea7, 0x89e5, 0xced6, 0x89d2,
  0xcf04, 0x89be, 0xcf33, 0x89ab, 0xcf61, 0x8998, 0xcf90, 0x8985,
  0xcfbe, 0x8972, 0xcfed, 0x895f, 0xd01b, 0x894c, 0xd04a, 0x8939,
  0xd079, 0x8927, 0xd0a7, 0x8914, 0xd0d6, 0x8902, 0xd105, 0x88ef,
  0xd134, 0x88dd, 0xd162, 0x88ca, 0xd191, 0x88b8, 0xd1c0, 0x88a6,
  0xd1ef, 0x8894, 0xd21e, 0x8882, 0xd24d, 0x8870, 0xd27c, 0x885e,
  0xd2ab, 0x884c, 0xd2da, 0x883a, 0xd309, 0x8828, 0xd338, 0x8817,
  0xd367, 0x8805, 0xd396, 0x87f4, 0xd3c5, 0x87e2, 0xd3f4, 0x87d1,
  0xd424, 0x87c0, 0xd453, 0x87af, 0xd482, 0x879d, 0xd4b1, 0x878c,
  0xd4e1, 0x877b, 0xd510, 0x876b, 0xd53f, 0x875a, 0xd56f, 0x8749,
  0xd59e, 0x8738, 0xd5ce, 0x8728, 0xd5fd, 0x8717, 0xd62d, 0x8707,
  0xd65c, 0x86f6, 0xd68c, 0x86e6, 0xd6bb, 0x86d6, 0xd6eb, 0x86c6,
  0xd71b, 0x86b6, 0xd74a, 0x86a5, 0xd77a, 0x8696, 0xd7aa, 0x8686,
  0xd7d9, 0x8676, 0xd809, 0x8666, 0xd839, 0x8656, 0xd869, 0x8647,
  0xd898, 0x8637, 0xd8c8, 0x8628, 0xd8f8, 0x8619, 0xd928, 0x8609,
  0xd958, 0x85fa, 0xd988, 0x85eb, 0xd9b8, 0x85dc, 0xd9e8, 0x85cd,
  0xda18, 0x85be, 0xda48, 0x85af, 0xda78, 0x85a0, 0xdaa8, 0x8592,
  0xdad8, 0x8583, 0xdb08, 0x8574, 0xdb38, 0x8566, 0xdb68, 0x8558,
  0xdb99, 0x8549, 0xdbc9, 0x853b, 0xdbf9, 0x852d, 0xdc29, 0x851f,
  0xdc59, 0x8511, 0xdc8a, 0x8503, 0xdcba, 0x84f5, 0xdcea, 0x84e7,
  0xdd1b, 0x84d9, 0xdd4b, 0x84cc, 0xdd7c, 0x84be, 0xddac, 0x84b0,
  0xdddc, 0x84a3, 0xde0d, 0x8496, 0xde3d, 0x8488, 0xde6e, 0x847b,
  0xde9e, 0x846e, 0xdecf, 0x8461, 0xdeff, 0x8454, 0xdf30, 0x8447,
  0xdf61, 0x843a, 0xdf91, 0x842d, 0xdfc2, 0x8421, 0xdff2, 0x8414,
  0xe023, 0x8407, 0xe054, 0x83fb, 0xe085, 0x83ef, 0xe0b5, 0x83e2,
  0xe0e6, 0x83d6, 0xe117, 0x83ca, 0xe148, 0x83be, 0xe178, 0x83b2,
  0xe1a9, 0x83a6, 0xe1da, 0x839a, 0xe20b, 0x838e, 0xe23c, 0x8382,
  0xe26d, 0x8377, 0xe29e, 0x836b, 0xe2cf, 0x8360, 0xe2ff, 0x8354,
  0xe330, 0x8349, 0xe361, 0x833e, 0xe392, 0x8332, 0xe3c3, 0x8327,
  0xe3f4, 0x831c, 0xe426, 0x8311, 0xe457, 0x8306, 0xe488, 0x82fb,
  0xe4b9, 0x82f1, 0xe4ea, 0x82e6, 0xe51b, 0x82db, 0xe54c, 0x82d1,
  0xe57d, 0x82c6, 0xe5af, 0x82bc, 0xe5e0, 0x82b2, 0xe611, 0x82a8,
  0xe642, 0x829d, 0xe673, 0x8293, 0xe6a5, 0x8289, 0xe6d6, 0x827f,
  0xe707, 0x8276, 0xe739, 0x826c, 0xe76a, 0x8262, 0xe79b, 0x8259,
  0xe7cd, 0x824f, 0xe7fe, 0x8246, 0xe82f, 0x823c, 0xe861, 0x8233,
  0xe892, 0x822a, 0xe8c4, 0x8220, 0xe8f5, 0x8217, 0xe926, 0x820e,
  0xe958, 0x8205, 0xe989, 0x81fd, 0xe9bb, 0x81f4, 0xe9ec, 0x81eb,
  0xea1e, 0x81e2, 0xea4f, 0x81da, 0xea81, 0x81d1, 0xeab3, 0x81c9,
  0xeae4, 0x81c1, 0xeb16, 0x81b8, 0xeb47, 0x81b0, 0xeb79, 0x81a8,
  0xebab, 0x81a0, 0xebdc, 0x8198, 0xec0e, 0x8190, 0xec3f, 0x8188,
  0xec71, 0x8181, 0xeca3, 0x8179, 0xecd5, 0x8172, 0xed06, 0x816a,
  0xed38, 0x8163, 0xed6a, 0x815b, 0xed9b, 0x8154, 0xedcd, 0x814d,
  0xedff, 0x8146, 0xee31, 0x813f, 0xee62, 0x8138, 0xee94, 0x8131,
  0xeec6, 0x812a, 0xeef8, 0x8123, 0xef2a, 0x811d, 0xef5c, 0x8116,
  0xef8d, 0x8110, 0xefbf, 0x8109, 0xeff1, 0x8103, 0xf023, 0x80fd,
  0xf055, 0x80f6, 0xf087, 0x80f0, 0xf0b9, 0x80ea, 0xf0eb, 0x80e4,
  0xf11c, 0x80de, 0xf14e, 0x80d9, 0xf180, 0x80d3, 0xf1b2, 0x80cd,
  0xf1e4, 0x80c8, 0xf216, 0x80c2, 0xf248, 0x80bd, 0xf27a, 0x80b7,
  0xf2ac, 0x80b2, 0xf2de, 0x80ad, 0xf310, 0x80a8, 0xf342, 0x80a3,
  0xf374, 0x809e, 0xf3a6, 0x8099, 0xf3d8, 0x8094, 0xf40a, 0x808f,
  0xf43c, 0x808b, 0xf46e, 0x8086, 0xf4a0, 0x8082, 0xf4d3, 0x807d,
  0xf505, 0x8079, 0xf537, 0x8075, 0xf569, 0x8070, 0xf59b, 0x806c,
  0xf5cd, 0x8068, 0xf5ff, 0x8064, 0xf631, 0x8060, 0xf663, 0x805d,
  0xf695, 0x8059, 0xf6c8, 0x8055, 0xf6fa, 0x8052, 0xf72c, 0x804e,
  0xf75e, 0x804b, 0xf790, 0x8047, 0xf7c2, 0x8044, 0xf7f4, 0x8041,
  0xf827, 0x803e, 0xf859, 0x803b, 0xf88b, 0x8038, 0xf8bd, 0x8035,
  0xf8ef, 0x8032, 0xf922, 0x802f, 0xf954, 0x802d, 0xf986, 0x802a,
  0xf9b8, 0x8027, 0xf9ea, 0x8025, 0xfa1d, 0x8023, 0xfa4f, 0x8020,
  0xfa81, 0x801e, 0xfab3, 0x801c, 0xfae5, 0x801a, 0xfb18, 0x8018,
  0xfb4a, 0x8016, 0xfb7c, 0x8014, 0xfbae, 0x8013, 0xfbe1, 0x8011,
  0xfc13, 0x800f, 0xfc45, 0x800e, 0xfc77, 0x800c, 0xfcaa, 0x800b,
  0xfcdc, 0x800a, 0xfd0e, 0x8009, 0xfd40, 0x8008, 0xfd73, 0x8007,
  0xfda5, 0x8006, 0xfdd7, 0x8005, 0xfe09, 0x8004, 0xfe3c, 0x8003,
  0xfe6e, 0x8002, 0xfea0, 0x8002, 0xfed2, 0x8001, 0xff05, 0x8001,
  0xff37, 0x8001, 0xff69, 0x8000, 0xff9b, 0x8000, 0xffce, 0x8000,
};

/**    
 * @} end of CFFT_CIFFT group    
 */

/*    
* @brief  Q15 table for reciprocal    
*/
const q15_t ALIGN4 armRecipTableQ15[64] = {
  0x7F03, 0x7D13, 0x7B31, 0x795E, 0x7798, 0x75E0,
  0x7434, 0x7294, 0x70FF, 0x6F76, 0x6DF6, 0x6C82,
  0x6B16, 0x69B5, 0x685C, 0x670C, 0x65C4, 0x6484,
  0x634C, 0x621C, 0x60F3, 0x5FD0, 0x5EB5, 0x5DA0,
  0x5C91, 0x5B88, 0x5A85, 0x5988, 0x5890, 0x579E,
  0x56B0, 0x55C8, 0x54E4, 0x5405, 0x532B, 0x5255,
  0x5183, 0x50B6, 0x4FEC, 0x4F26, 0x4E64, 0x4DA6,
  0x4CEC, 0x4C34, 0x4B81, 0x4AD0, 0x4A23, 0x4978,
  0x48D1, 0x482D, 0x478C, 0x46ED, 0x4651, 0x45B8,
  0x4521, 0x448D, 0x43FC, 0x436C, 0x42DF, 0x4255,
  0x41CC, 0x4146, 0x40C2, 0x4040
};

/*    
* @brief  Q31 table for reciprocal    
*/
const q31_t armRecipTableQ31[64] = {
  0x7F03F03F, 0x7D137420, 0x7B31E739, 0x795E9F94, 0x7798FD29, 0x75E06928,
  0x7434554D, 0x72943B4B, 0x70FF9C40, 0x6F760031, 0x6DF6F593, 0x6C8210E3,
  0x6B16EC3A, 0x69B526F6, 0x685C655F, 0x670C505D, 0x65C4952D, 0x6484E519,
  0x634CF53E, 0x621C7E4F, 0x60F33C61, 0x5FD0EEB3, 0x5EB55785, 0x5DA03BEB,
  0x5C9163A1, 0x5B8898E6, 0x5A85A85A, 0x598860DF, 0x58909373, 0x579E1318,
  0x56B0B4B8, 0x55C84F0B, 0x54E4BA80, 0x5405D124, 0x532B6E8F, 0x52556FD0,
  0x5183B35A, 0x50B618F3, 0x4FEC81A2, 0x4F26CFA2, 0x4E64E64E, 0x4DA6AA1D,
  0x4CEC008B, 0x4C34D010, 0x4B810016, 0x4AD078EF, 0x4A2323C4, 0x4978EA96,
  0x48D1B827, 0x482D77FE, 0x478C1657, 0x46ED801D, 0x4651A2E5, 0x45B86CE2,
  0x4521CCE1, 0x448DB244, 0x43FC0CFA, 0x436CCD78, 0x42DFE4B4, 0x42554426,
  0x41CCDDB6, 0x4146A3C6, 0x40C28923, 0x40408102
};