gf256.hpp

/*
 * Copyright (c) 2018 by Intinor AB. All rights reserved.
 *
 * This file is part of "libRaptorQ".
 *
 * libRaptorQ is free software: you can redistribute it and/or modify
 * it under the terms of the GNU Lesser General Public License as
 * published by the Free Software Foundation, either version 3
 * of the License, or (at your option) any later version.
 *
 * libRaptorQ is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 * GNU General Public License for more details.
 *
 * You should have received a copy of the GNU General Public License
 * and a copy of the GNU Lesser General Public License
 * along with libRaptorQ.  If not, see <http://www.gnu.org/licenses/>.
 */


#pragma once


static uint8_t gf256_low_ptr[] = {
   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
   0,   1,   2,   3,   4,   5,   6,   7,   8,   9,  10,  11,  12,  13,  14,  15,
   0,   1,   2,   3,   4,   5,   6,   7,   8,   9,  10,  11,  12,  13,  14,  15,
   0,   2,   4,   6,   8,  10,  12,  14,  16,  18,  20,  22,  24,  26,  28,  30,
   0,   2,   4,   6,   8,  10,  12,  14,  16,  18,  20,  22,  24,  26,  28,  30,
   0,   3,   6,   5,  12,  15,  10,   9,  24,  27,  30,  29,  20,  23,  18,  17,
   0,   3,   6,   5,  12,  15,  10,   9,  24,  27,  30,  29,  20,  23,  18,  17,
   0,   4,   8,  12,  16,  20,  24,  28,  32,  36,  40,  44,  48,  52,  56,  60,
   0,   4,   8,  12,  16,  20,  24,  28,  32,  36,  40,  44,  48,  52,  56,  60,
   0,   5,  10,  15,  20,  17,  30,  27,  40,  45,  34,  39,  60,  57,  54,  51,
   0,   5,  10,  15,  20,  17,  30,  27,  40,  45,  34,  39,  60,  57,  54,  51,
   0,   6,  12,  10,  24,  30,  20,  18,  48,  54,  60,  58,  40,  46,  36,  34,
   0,   6,  12,  10,  24,  30,  20,  18,  48,  54,  60,  58,  40,  46,  36,  34,
   0,   7,  14,   9,  28,  27,  18,  21,  56,  63,  54,  49,  36,  35,  42,  45,
   0,   7,  14,   9,  28,  27,  18,  21,  56,  63,  54,  49,  36,  35,  42,  45,
   0,   8,  16,  24,  32,  40,  48,  56,  64,  72,  80,  88,  96, 104, 112, 120,
   0,   8,  16,  24,  32,  40,  48,  56,  64,  72,  80,  88,  96, 104, 112, 120,
   0,   9,  18,  27,  36,  45,  54,  63,  72,  65,  90,  83, 108, 101, 126, 119,
   0,   9,  18,  27,  36,  45,  54,  63,  72,  65,  90,  83, 108, 101, 126, 119,
   0,  10,  20,  30,  40,  34,  60,  54,  80,  90,  68,  78, 120, 114, 108, 102,
   0,  10,  20,  30,  40,  34,  60,  54,  80,  90,  68,  78, 120, 114, 108, 102,
   0,  11,  22,  29,  44,  39,  58,  49,  88,  83,  78,  69, 116, 127,  98, 105,
   0,  11,  22,  29,  44,  39,  58,  49,  88,  83,  78,  69, 116, 127,  98, 105,
   0,  12,  24,  20,  48,  60,  40,  36,  96, 108, 120, 116,  80,  92,  72,  68,
   0,  12,  24,  20,  48,  60,  40,  36,  96, 108, 120, 116,  80,  92,  72,  68,
   0,  13,  26,  23,  52,  57,  46,  35, 104, 101, 114, 127,  92,  81,  70,  75,
   0,  13,  26,  23,  52,  57,  46,  35, 104, 101, 114, 127,  92,  81,  70,  75,
   0,  14,  28,  18,  56,  54,  36,  42, 112, 126, 108,  98,  72,  70,  84,  90,
   0,  14,  28,  18,  56,  54,  36,  42, 112, 126, 108,  98,  72,  70,  84,  90,
   0,  15,  30,  17,  60,  51,  34,  45, 120, 119, 102, 105,  68,  75,  90,  85,
   0,  15,  30,  17,  60,  51,  34,  45, 120, 119, 102, 105,  68,  75,  90,  85,
   0,  16,  32,  48,  64,  80,  96, 112, 128, 144, 160, 176, 192, 208, 224, 240,
   0,  16,  32,  48,  64,  80,  96, 112, 128, 144, 160, 176, 192, 208, 224, 240,
   0,  17,  34,  51,  68,  85, 102, 119, 136, 153, 170, 187, 204, 221, 238, 255,
   0,  17,  34,  51,  68,  85, 102, 119, 136, 153, 170, 187, 204, 221, 238, 255,
   0,  18,  36,  54,  72,  90, 108, 126, 144, 130, 180, 166, 216, 202, 252, 238,
   0,  18,  36,  54,  72,  90, 108, 126, 144, 130, 180, 166, 216, 202, 252, 238,
   0,  19,  38,  53,  76,  95, 106, 121, 152, 139, 190, 173, 212, 199, 242, 225,
   0,  19,  38,  53,  76,  95, 106, 121, 152, 139, 190, 173, 212, 199, 242, 225,
   0,  20,  40,  60,  80,  68, 120, 108, 160, 180, 136, 156, 240, 228, 216, 204,
   0,  20,  40,  60,  80,  68, 120, 108, 160, 180, 136, 156, 240, 228, 216, 204,
   0,  21,  42,  63,  84,  65, 126, 107, 168, 189, 130, 151, 252, 233, 214, 195,
   0,  21,  42,  63,  84,  65, 126, 107, 168, 189, 130, 151, 252, 233, 214, 195,
   0,  22,  44,  58,  88,  78, 116,  98, 176, 166, 156, 138, 232, 254, 196, 210,
   0,  22,  44,  58,  88,  78, 116,  98, 176, 166, 156, 138, 232, 254, 196, 210,
   0,  23,  46,  57,  92,  75, 114, 101, 184, 175, 150, 129, 228, 243, 202, 221,
   0,  23,  46,  57,  92,  75, 114, 101, 184, 175, 150, 129, 228, 243, 202, 221,
   0,  24,  48,  40,  96, 120,  80,  72, 192, 216, 240, 232, 160, 184, 144, 136,
   0,  24,  48,  40,  96, 120,  80,  72, 192, 216, 240, 232, 160, 184, 144, 136,
   0,  25,  50,  43, 100, 125,  86,  79, 200, 209, 250, 227, 172, 181, 158, 135,
   0,  25,  50,  43, 100, 125,  86,  79, 200, 209, 250, 227, 172, 181, 158, 135,
   0,  26,  52,  46, 104, 114,  92,  70, 208, 202, 228, 254, 184, 162, 140, 150,
   0,  26,  52,  46, 104, 114,  92,  70, 208, 202, 228, 254, 184, 162, 140, 150,
   0,  27,  54,  45, 108, 119,  90,  65, 216, 195, 238, 245, 180, 175, 130, 153,
   0,  27,  54,  45, 108, 119,  90,  65, 216, 195, 238, 245, 180, 175, 130, 153,
   0,  28,  56,  36, 112, 108,  72,  84, 224, 252, 216, 196, 144, 140, 168, 180,
   0,  28,  56,  36, 112, 108,  72,  84, 224, 252, 216, 196, 144, 140, 168, 180,
   0,  29,  58,  39, 116, 105,  78,  83, 232, 245, 210, 207, 156, 129, 166, 187,
   0,  29,  58,  39, 116, 105,  78,  83, 232, 245, 210, 207, 156, 129, 166, 187,
   0,  30,  60,  34, 120, 102,  68,  90, 240, 238, 204, 210, 136, 150, 180, 170,
   0,  30,  60,  34, 120, 102,  68,  90, 240, 238, 204, 210, 136, 150, 180, 170,
   0,  31,  62,  33, 124,  99,  66,  93, 248, 231, 198, 217, 132, 155, 186, 165,
   0,  31,  62,  33, 124,  99,  66,  93, 248, 231, 198, 217, 132, 155, 186, 165,
   0,  32,  64,  96, 128, 160, 192, 224,  29,  61,  93, 125, 157, 189, 221, 253,
   0,  32,  64,  96, 128, 160, 192, 224,  29,  61,  93, 125, 157, 189, 221, 253,
   0,  33,  66,  99, 132, 165, 198, 231,  21,  52,  87, 118, 145, 176, 211, 242,
   0,  33,  66,  99, 132, 165, 198, 231,  21,  52,  87, 118, 145, 176, 211, 242,
   0,  34,  68, 102, 136, 170, 204, 238,  13,  47,  73, 107, 133, 167, 193, 227,
   0,  34,  68, 102, 136, 170, 204, 238,  13,  47,  73, 107, 133, 167, 193, 227,
   0,  35,  70, 101, 140, 175, 202, 233,   5,  38,  67,  96, 137, 170, 207, 236,
   0,  35,  70, 101, 140, 175, 202, 233,   5,  38,  67,  96, 137, 170, 207, 236,
   0,  36,  72, 108, 144, 180, 216, 252,  61,  25, 117,  81, 173, 137, 229, 193,
   0,  36,  72, 108, 144, 180, 216, 252,  61,  25, 117,  81, 173, 137, 229, 193,
   0,  37,  74, 111, 148, 177, 222, 251,  53,  16, 127,  90, 161, 132, 235, 206,
   0,  37,  74, 111, 148, 177, 222, 251,  53,  16, 127,  90, 161, 132, 235, 206,
   0,  38,  76, 106, 152, 190, 212, 242,  45,  11,  97,  71, 181, 147, 249, 223,
   0,  38,  76, 106, 152, 190, 212, 242,  45,  11,  97,  71, 181, 147, 249, 223,
   0,  39,  78, 105, 156, 187, 210, 245,  37,   2, 107,  76, 185, 158, 247, 208,
   0,  39,  78, 105, 156, 187, 210, 245,  37,   2, 107,  76, 185, 158, 247, 208,
   0,  40,  80, 120, 160, 136, 240, 216,  93, 117,  13,  37, 253, 213, 173, 133,
   0,  40,  80, 120, 160, 136, 240, 216,  93, 117,  13,  37, 253, 213, 173, 133,
   0,  41,  82, 123, 164, 141, 246, 223,  85, 124,   7,  46, 241, 216, 163, 138,
   0,  41,  82, 123, 164, 141, 246, 223,  85, 124,   7,  46, 241, 216, 163, 138,
   0,  42,  84, 126, 168, 130, 252, 214,  77, 103,  25,  51, 229, 207, 177, 155,
   0,  42,  84, 126, 168, 130, 252, 214,  77, 103,  25,  51, 229, 207, 177, 155,
   0,  43,  86, 125, 172, 135, 250, 209,  69, 110,  19,  56, 233, 194, 191, 148,
   0,  43,  86, 125, 172, 135, 250, 209,  69, 110,  19,  56, 233, 194, 191, 148,
   0,  44,  88, 116, 176, 156, 232, 196, 125,  81,  37,   9, 205, 225, 149, 185,
   0,  44,  88, 116, 176, 156, 232, 196, 125,  81,  37,   9, 205, 225, 149, 185,
   0,  45,  90, 119, 180, 153, 238, 195, 117,  88,  47,   2, 193, 236, 155, 182,
   0,  45,  90, 119, 180, 153, 238, 195, 117,  88,  47,   2, 193, 236, 155, 182,
   0,  46,  92, 114, 184, 150, 228, 202, 109,  67,  49,  31, 213, 251, 137, 167,
   0,  46,  92, 114, 184, 150, 228, 202, 109,  67,  49,  31, 213, 251, 137, 167,
   0,  47,  94, 113, 188, 147, 226, 205, 101,  74,  59,  20, 217, 246, 135, 168,
   0,  47,  94, 113, 188, 147, 226, 205, 101,  74,  59,  20, 217, 246, 135, 168,
   0,  48,  96,  80, 192, 240, 160, 144, 157, 173, 253, 205,  93, 109,  61,  13,
   0,  48,  96,  80, 192, 240, 160, 144, 157, 173, 253, 205,  93, 109,  61,  13,
   0,  49,  98,  83, 196, 245, 166, 151, 149, 164, 247, 198,  81,  96,  51,   2,
   0,  49,  98,  83, 196, 245, 166, 151, 149, 164, 247, 198,  81,  96,  51,   2,
   0,  50, 100,  86, 200, 250, 172, 158, 141, 191, 233, 219,  69, 119,  33,  19,
   0,  50, 100,  86, 200, 250, 172, 158, 141, 191, 233, 219,  69, 119,  33,  19,
   0,  51, 102,  85, 204, 255, 170, 153, 133, 182, 227, 208,  73, 122,  47,  28,
   0,  51, 102,  85, 204, 255, 170, 153, 133, 182, 227, 208,  73, 122,  47,  28,
   0,  52, 104,  92, 208, 228, 184, 140, 189, 137, 213, 225, 109,  89,   5,  49,
   0,  52, 104,  92, 208, 228, 184, 140, 189, 137, 213, 225, 109,  89,   5,  49,
   0,  53, 106,  95, 212, 225, 190, 139, 181, 128, 223, 234,  97,  84,  11,  62,
   0,  53, 106,  95, 212, 225, 190, 139, 181, 128, 223, 234,  97,  84,  11,  62,
   0,  54, 108,  90, 216, 238, 180, 130, 173, 155, 193, 247, 117,  67,  25,  47,
   0,  54, 108,  90, 216, 238, 180, 130, 173, 155, 193, 247, 117,  67,  25,  47,
   0,  55, 110,  89, 220, 235, 178, 133, 165, 146, 203, 252, 121,  78,  23,  32,
   0,  55, 110,  89, 220, 235, 178, 133, 165, 146, 203, 252, 121,  78,  23,  32,
   0,  56, 112,  72, 224, 216, 144, 168, 221, 229, 173, 149,  61,   5,  77, 117,
   0,  56, 112,  72, 224, 216, 144, 168, 221, 229, 173, 149,  61,   5,  77, 117,
   0,  57, 114,  75, 228, 221, 150, 175, 213, 236, 167, 158,  49,   8,  67, 122,
   0,  57, 114,  75, 228, 221, 150, 175, 213, 236, 167, 158,  49,   8,  67, 122,
   0,  58, 116,  78, 232, 210, 156, 166, 205, 247, 185, 131,  37,  31,  81, 107,
   0,  58, 116,  78, 232, 210, 156, 166, 205, 247, 185, 131,  37,  31,  81, 107,
   0,  59, 118,  77, 236, 215, 154, 161, 197, 254, 179, 136,  41,  18,  95, 100,
   0,  59, 118,  77, 236, 215, 154, 161, 197, 254, 179, 136,  41,  18,  95, 100,
   0,  60, 120,  68, 240, 204, 136, 180, 253, 193, 133, 185,  13,  49, 117,  73,
   0,  60, 120,  68, 240, 204, 136, 180, 253, 193, 133, 185,  13,  49, 117,  73,
   0,  61, 122,  71, 244, 201, 142, 179, 245, 200, 143, 178,   1,  60, 123,  70,
   0,  61, 122,  71, 244, 201, 142, 179, 245, 200, 143, 178,   1,  60, 123,  70,
   0,  62, 124,  66, 248, 198, 132, 186, 237, 211, 145, 175,  21,  43, 105,  87,
   0,  62, 124,  66, 248, 198, 132, 186, 237, 211, 145, 175,  21,  43, 105,  87,
   0,  63, 126,  65, 252, 195, 130, 189, 229, 218, 155, 164,  25,  38, 103,  88,
   0,  63, 126,  65, 252, 195, 130, 189, 229, 218, 155, 164,  25,  38, 103,  88,
   0,  64, 128, 192,  29,  93, 157, 221,  58, 122, 186, 250,  39, 103, 167, 231,
   0,  64, 128, 192,  29,  93, 157, 221,  58, 122, 186, 250,  39, 103, 167, 231,
   0,  65, 130, 195,  25,  88, 155, 218,  50, 115, 176, 241,  43, 106, 169, 232,
   0,  65, 130, 195,  25,  88, 155, 218,  50, 115, 176, 241,  43, 106, 169, 232,
   0,  66, 132, 198,  21,  87, 145, 211,  42, 104, 174, 236,  63, 125, 187, 249,
   0,  66, 132, 198,  21,  87, 145, 211,  42, 104, 174, 236,  63, 125, 187, 249,
   0,  67, 134, 197,  17,  82, 151, 212,  34,  97, 164, 231,  51, 112, 181, 246,
   0,  67, 134, 197,  17,  82, 151, 212,  34,  97, 164, 231,  51, 112, 181, 246,
   0,  68, 136, 204,  13,  73, 133, 193,  26,  94, 146, 214,  23,  83, 159, 219,
   0,  68, 136, 204,  13,  73, 133, 193,  26,  94, 146, 214,  23,  83, 159, 219,
   0,  69, 138, 207,   9,  76, 131, 198,  18,  87, 152, 221,  27,  94, 145, 212,
   0,  69, 138, 207,   9,  76, 131, 198,  18,  87, 152, 221,  27,  94, 145, 212,
   0,  70, 140, 202,   5,  67, 137, 207,  10,  76, 134, 192,  15,  73, 131, 197,
   0,  70, 140, 202,   5,  67, 137, 207,  10,  76, 134, 192,  15,  73, 131, 197,
   0,  71, 142, 201,   1,  70, 143, 200,   2,  69, 140, 203,   3,  68, 141, 202,
   0,  71, 142, 201,   1,  70, 143, 200,   2,  69, 140, 203,   3,  68, 141, 202,
   0,  72, 144, 216,  61, 117, 173, 229, 122,  50, 234, 162,  71,  15, 215, 159,
   0,  72, 144, 216,  61, 117, 173, 229, 122,  50, 234, 162,  71,  15, 215, 159,
   0,  73, 146, 219,  57, 112, 171, 226, 114,  59, 224, 169,  75,   2, 217, 144,
   0,  73, 146, 219,  57, 112, 171, 226, 114,  59, 224, 169,  75,   2, 217, 144,
   0,  74, 148, 222,  53, 127, 161, 235, 106,  32, 254, 180,  95,  21, 203, 129,
   0,  74, 148, 222,  53, 127, 161, 235, 106,  32, 254, 180,  95,  21, 203, 129,
   0,  75, 150, 221,  49, 122, 167, 236,  98,  41, 244, 191,  83,  24, 197, 142,
   0,  75, 150, 221,  49, 122, 167, 236,  98,  41, 244, 191,  83,  24, 197, 142,
   0,  76, 152, 212,  45,  97, 181, 249,  90,  22, 194, 142, 119,  59, 239, 163,
   0,  76, 152, 212,  45,  97, 181, 249,  90,  22, 194, 142, 119,  59, 239, 163,
   0,  77, 154, 215,  41, 100, 179, 254,  82,  31, 200, 133, 123,  54, 225, 172,
   0,  77, 154, 215,  41, 100, 179, 254,  82,  31, 200, 133, 123,  54, 225, 172,
   0,  78, 156, 210,  37, 107, 185, 247,  74,   4, 214, 152, 111,  33, 243, 189,
   0,  78, 156, 210,  37, 107, 185, 247,  74,   4, 214, 152, 111,  33, 243, 189,
   0,  79, 158, 209,  33, 110, 191, 240,  66,  13, 220, 147,  99,  44, 253, 178,
   0,  79, 158, 209,  33, 110, 191, 240,  66,  13, 220, 147,  99,  44, 253, 178,
   0,  80, 160, 240,  93,  13, 253, 173, 186, 234,  26,  74, 231, 183,  71,  23,
   0,  80, 160, 240,  93,  13, 253, 173, 186, 234,  26,  74, 231, 183,  71,  23,
   0,  81, 162, 243,  89,   8, 251, 170, 178, 227,  16,  65, 235, 186,  73,  24,
   0,  81, 162, 243,  89,   8, 251, 170, 178, 227,  16,  65, 235, 186,  73,  24,
   0,  82, 164, 246,  85,   7, 241, 163, 170, 248,  14,  92, 255, 173,  91,   9,
   0,  82, 164, 246,  85,   7, 241, 163, 170, 248,  14,  92, 255, 173,  91,   9,
   0,  83, 166, 245,  81,   2, 247, 164, 162, 241,   4,  87, 243, 160,  85,   6,
   0,  83, 166, 245,  81,   2, 247, 164, 162, 241,   4,  87, 243, 160,  85,   6,
   0,  84, 168, 252,  77,  25, 229, 177, 154, 206,  50, 102, 215, 131, 127,  43,
   0,  84, 168, 252,  77,  25, 229, 177, 154, 206,  50, 102, 215, 131, 127,  43,
   0,  85, 170, 255,  73,  28, 227, 182, 146, 199,  56, 109, 219, 142, 113,  36,
   0,  85, 170, 255,  73,  28, 227, 182, 146, 199,  56, 109, 219, 142, 113,  36,
   0,  86, 172, 250,  69,  19, 233, 191, 138, 220,  38, 112, 207, 153,  99,  53,
   0,  86, 172, 250,  69,  19, 233, 191, 138, 220,  38, 112, 207, 153,  99,  53,
   0,  87, 174, 249,  65,  22, 239, 184, 130, 213,  44, 123, 195, 148, 109,  58,
   0,  87, 174, 249,  65,  22, 239, 184, 130, 213,  44, 123, 195, 148, 109,  58,
   0,  88, 176, 232, 125,  37, 205, 149, 250, 162,  74,  18, 135, 223,  55, 111,
   0,  88, 176, 232, 125,  37, 205, 149, 250, 162,  74,  18, 135, 223,  55, 111,
   0,  89, 178, 235, 121,  32, 203, 146, 242, 171,  64,  25, 139, 210,  57,  96,
   0,  89, 178, 235, 121,  32, 203, 146, 242, 171,  64,  25, 139, 210,  57,  96,
   0,  90, 180, 238, 117,  47, 193, 155, 234, 176,  94,   4, 159, 197,  43, 113,
   0,  90, 180, 238, 117,  47, 193, 155, 234, 176,  94,   4, 159, 197,  43, 113,
   0,  91, 182, 237, 113,  42, 199, 156, 226, 185,  84,  15, 147, 200,  37, 126,
   0,  91, 182, 237, 113,  42, 199, 156, 226, 185,  84,  15, 147, 200,  37, 126,
   0,  92, 184, 228, 109,  49, 213, 137, 218, 134,  98,  62, 183, 235,  15,  83,
   0,  92, 184, 228, 109,  49, 213, 137, 218, 134,  98,  62, 183, 235,  15,  83,
   0,  93, 186, 231, 105,  52, 211, 142, 210, 143, 104,  53, 187, 230,   1,  92,
   0,  93, 186, 231, 105,  52, 211, 142, 210, 143, 104,  53, 187, 230,   1,  92,
   0,  94, 188, 226, 101,  59, 217, 135, 202, 148, 118,  40, 175, 241,  19,  77,
   0,  94, 188, 226, 101,  59, 217, 135, 202, 148, 118,  40, 175, 241,  19,  77,
   0,  95, 190, 225,  97,  62, 223, 128, 194, 157, 124,  35, 163, 252,  29,  66,
   0,  95, 190, 225,  97,  62, 223, 128, 194, 157, 124,  35, 163, 252,  29,  66,
   0,  96, 192, 160, 157, 253,  93,  61,  39,  71, 231, 135, 186, 218, 122,  26,
   0,  96, 192, 160, 157, 253,  93,  61,  39,  71, 231, 135, 186, 218, 122,  26,
   0,  97, 194, 163, 153, 248,  91,  58,  47,  78, 237, 140, 182, 215, 116,  21,
   0,  97, 194, 163, 153, 248,  91,  58,  47,  78, 237, 140, 182, 215, 116,  21,
   0,  98, 196, 166, 149, 247,  81,  51,  55,  85, 243, 145, 162, 192, 102,   4,
   0,  98, 196, 166, 149, 247,  81,  51,  55,  85, 243, 145, 162, 192, 102,   4,
   0,  99, 198, 165, 145, 242,  87,  52,  63,  92, 249, 154, 174, 205, 104,  11,
   0,  99, 198, 165, 145, 242,  87,  52,  63,  92, 249, 154, 174, 205, 104,  11,
   0, 100, 200, 172, 141, 233,  69,  33,   7,  99, 207, 171, 138, 238,  66,  38,
   0, 100, 200, 172, 141, 233,  69,  33,   7,  99, 207, 171, 138, 238,  66,  38,
   0, 101, 202, 175, 137, 236,  67,  38,  15, 106, 197, 160, 134, 227,  76,  41,
   0, 101, 202, 175, 137, 236,  67,  38,  15, 106, 197, 160, 134, 227,  76,  41,
   0, 102, 204, 170, 133, 227,  73,  47,  23, 113, 219, 189, 146, 244,  94,  56,
   0, 102, 204, 170, 133, 227,  73,  47,  23, 113, 219, 189, 146, 244,  94,  56,
   0, 103, 206, 169, 129, 230,  79,  40,  31, 120, 209, 182, 158, 249,  80,  55,
   0, 103, 206, 169, 129, 230,  79,  40,  31, 120, 209, 182, 158, 249,  80,  55,
   0, 104, 208, 184, 189, 213, 109,   5, 103,  15, 183, 223, 218, 178,  10,  98,
   0, 104, 208, 184, 189, 213, 109,   5, 103,  15, 183, 223, 218, 178,  10,  98,
   0, 105, 210, 187, 185, 208, 107,   2, 111,   6, 189, 212, 214, 191,   4, 109,
   0, 105, 210, 187, 185, 208, 107,   2, 111,   6, 189, 212, 214, 191,   4, 109,
   0, 106, 212, 190, 181, 223,  97,  11, 119,  29, 163, 201, 194, 168,  22, 124,
   0, 106, 212, 190, 181, 223,  97,  11, 119,  29, 163, 201, 194, 168,  22, 124,
   0, 107, 214, 189, 177, 218, 103,  12, 127,  20, 169, 194, 206, 165,  24, 115,
   0, 107, 214, 189, 177, 218, 103,  12, 127,  20, 169, 194, 206, 165,  24, 115,
   0, 108, 216, 180, 173, 193, 117,  25,  71,  43, 159, 243, 234, 134,  50,  94,
   0, 108, 216, 180, 173, 193, 117,  25,  71,  43, 159, 243, 234, 134,  50,  94,
   0, 109, 218, 183, 169, 196, 115,  30,  79,  34, 149, 248, 230, 139,  60,  81,
   0, 109, 218, 183, 169, 196, 115,  30,  79,  34, 149, 248, 230, 139,  60,  81,
   0, 110, 220, 178, 165, 203, 121,  23,  87,  57, 139, 229, 242, 156,  46,  64,
   0, 110, 220, 178, 165, 203, 121,  23,  87,  57, 139, 229, 242, 156,  46,  64,
   0, 111, 222, 177, 161, 206, 127,  16,  95,  48, 129, 238, 254, 145,  32,  79,
   0, 111, 222, 177, 161, 206, 127,  16,  95,  48, 129, 238, 254, 145,  32,  79,
   0, 112, 224, 144, 221, 173,  61,  77, 167, 215,  71,  55, 122,  10, 154, 234,
   0, 112, 224, 144, 221, 173,  61,  77, 167, 215,  71,  55, 122,  10, 154, 234,
   0, 113, 226, 147, 217, 168,  59,  74, 175, 222,  77,  60, 118,   7, 148, 229,
   0, 113, 226, 147, 217, 168,  59,  74, 175, 222,  77,  60, 118,   7, 148, 229,
   0, 114, 228, 150, 213, 167,  49,  67, 183, 197,  83,  33,  98,  16, 134, 244,
   0, 114, 228, 150, 213, 167,  49,  67, 183, 197,  83,  33,  98,  16, 134, 244,
   0, 115, 230, 149, 209, 162,  55,  68, 191, 204,  89,  42, 110,  29, 136, 251,
   0, 115, 230, 149, 209, 162,  55,  68, 191, 204,  89,  42, 110,  29, 136, 251,
   0, 116, 232, 156, 205, 185,  37,  81, 135, 243, 111,  27,  74,  62, 162, 214,
   0, 116, 232, 156, 205, 185,  37,  81, 135, 243, 111,  27,  74,  62, 162, 214,
   0, 117, 234, 159, 201, 188,  35,  86, 143, 250, 101,  16,  70,  51, 172, 217,
   0, 117, 234, 159, 201, 188,  35,  86, 143, 250, 101,  16,  70,  51, 172, 217,
   0, 118, 236, 154, 197, 179,  41,  95, 151, 225, 123,  13,  82,  36, 190, 200,
   0, 118, 236, 154, 197, 179,  41,  95, 151, 225, 123,  13,  82,  36, 190, 200,
   0, 119, 238, 153, 193, 182,  47,  88, 159, 232, 113,   6,  94,  41, 176, 199,
   0, 119, 238, 153, 193, 182,  47,  88, 159, 232, 113,   6,  94,  41, 176, 199,
   0, 120, 240, 136, 253, 133,  13, 117, 231, 159,  23, 111,  26,  98, 234, 146,
   0, 120, 240, 136, 253, 133,  13, 117, 231, 159,  23, 111,  26,  98, 234, 146,
   0, 121, 242, 139, 249, 128,  11, 114, 239, 150,  29, 100,  22, 111, 228, 157,
   0, 121, 242, 139, 249, 128,  11, 114, 239, 150,  29, 100,  22, 111, 228, 157,
   0, 122, 244, 142, 245, 143,   1, 123, 247, 141,   3, 121,   2, 120, 246, 140,
   0, 122, 244, 142, 245, 143,   1, 123, 247, 141,   3, 121,   2, 120, 246, 140,
   0, 123, 246, 141, 241, 138,   7, 124, 255, 132,   9, 114,  14, 117, 248, 131,
   0, 123, 246, 141, 241, 138,   7, 124, 255, 132,   9, 114,  14, 117, 248, 131,
   0, 124, 248, 132, 237, 145,  21, 105, 199, 187,  63,  67,  42,  86, 210, 174,
   0, 124, 248, 132, 237, 145,  21, 105, 199, 187,  63,  67,  42,  86, 210, 174,
   0, 125, 250, 135, 233, 148,  19, 110, 207, 178,  53,  72,  38,  91, 220, 161,
   0, 125, 250, 135, 233, 148,  19, 110, 207, 178,  53,  72,  38,  91, 220, 161,
   0, 126, 252, 130, 229, 155,  25, 103, 215, 169,  43,  85,  50,  76, 206, 176,
   0, 126, 252, 130, 229, 155,  25, 103, 215, 169,  43,  85,  50,  76, 206, 176,
   0, 127, 254, 129, 225, 158,  31,  96, 223, 160,  33,  94,  62,  65, 192, 191,
   0, 127, 254, 129, 225, 158,  31,  96, 223, 160,  33,  94,  62,  65, 192, 191,
   0, 128,  29, 157,  58, 186,  39, 167, 116, 244, 105, 233,  78, 206,  83, 211,
   0, 128,  29, 157,  58, 186,  39, 167, 116, 244, 105, 233,  78, 206,  83, 211,
   0, 129,  31, 158,  62, 191,  33, 160, 124, 253,  99, 226,  66, 195,  93, 220,
   0, 129,  31, 158,  62, 191,  33, 160, 124, 253,  99, 226,  66, 195,  93, 220,
   0, 130,  25, 155,  50, 176,  43, 169, 100, 230, 125, 255,  86, 212,  79, 205,
   0, 130,  25, 155,  50, 176,  43, 169, 100, 230, 125, 255,  86, 212,  79, 205,
   0, 131,  27, 152,  54, 181,  45, 174, 108, 239, 119, 244,  90, 217,  65, 194,
   0, 131,  27, 152,  54, 181,  45, 174, 108, 239, 119, 244,  90, 217,  65, 194,
   0, 132,  21, 145,  42, 174,  63, 187,  84, 208,  65, 197, 126, 250, 107, 239,
   0, 132,  21, 145,  42, 174,  63, 187,  84, 208,  65, 197, 126, 250, 107, 239,
   0, 133,  23, 146,  46, 171,  57, 188,  92, 217,  75, 206, 114, 247, 101, 224,
   0, 133,  23, 146,  46, 171,  57, 188,  92, 217,  75, 206, 114, 247, 101, 224,
   0, 134,  17, 151,  34, 164,  51, 181,  68, 194,  85, 211, 102, 224, 119, 241,
   0, 134,  17, 151,  34, 164,  51, 181,  68, 194,  85, 211, 102, 224, 119, 241,
   0, 135,  19, 148,  38, 161,  53, 178,  76, 203,  95, 216, 106, 237, 121, 254,
   0, 135,  19, 148,  38, 161,  53, 178,  76, 203,  95, 216, 106, 237, 121, 254,
   0, 136,  13, 133,  26, 146,  23, 159,  52, 188,  57, 177,  46, 166,  35, 171,
   0, 136,  13, 133,  26, 146,  23, 159,  52, 188,  57, 177,  46, 166,  35, 171,
   0, 137,  15, 134,  30, 151,  17, 152,  60, 181,  51, 186,  34, 171,  45, 164,
   0, 137,  15, 134,  30, 151,  17, 152,  60, 181,  51, 186,  34, 171,  45, 164,
   0, 138,   9, 131,  18, 152,  27, 145,  36, 174,  45, 167,  54, 188,  63, 181,
   0, 138,   9, 131,  18, 152,  27, 145,  36, 174,  45, 167,  54, 188,  63, 181,
   0, 139,  11, 128,  22, 157,  29, 150,  44, 167,  39, 172,  58, 177,  49, 186,
   0, 139,  11, 128,  22, 157,  29, 150,  44, 167,  39, 172,  58, 177,  49, 186,
   0, 140,   5, 137,  10, 134,  15, 131,  20, 152,  17, 157,  30, 146,  27, 151,
   0, 140,   5, 137,  10, 134,  15, 131,  20, 152,  17, 157,  30, 146,  27, 151,
   0, 141,   7, 138,  14, 131,   9, 132,  28, 145,  27, 150,  18, 159,  21, 152,
   0, 141,   7, 138,  14, 131,   9, 132,  28, 145,  27, 150,  18, 159,  21, 152,
   0, 142,   1, 143,   2, 140,   3, 141,   4, 138,   5, 139,   6, 136,   7, 137,
   0, 142,   1, 143,   2, 140,   3, 141,   4, 138,   5, 139,   6, 136,   7, 137,
   0, 143,   3, 140,   6, 137,   5, 138,  12, 131,  15, 128,  10, 133,   9, 134,
   0, 143,   3, 140,   6, 137,   5, 138,  12, 131,  15, 128,  10, 133,   9, 134,
   0, 144,  61, 173, 122, 234,  71, 215, 244, 100, 201,  89, 142,  30, 179,  35,
   0, 144,  61, 173, 122, 234,  71, 215, 244, 100, 201,  89, 142,  30, 179,  35,
   0, 145,  63, 174, 126, 239,  65, 208, 252, 109, 195,  82, 130,  19, 189,  44,
   0, 145,  63, 174, 126, 239,  65, 208, 252, 109, 195,  82, 130,  19, 189,  44,
   0, 146,  57, 171, 114, 224,  75, 217, 228, 118, 221,  79, 150,   4, 175,  61,
   0, 146,  57, 171, 114, 224,  75, 217, 228, 118, 221,  79, 150,   4, 175,  61,
   0, 147,  59, 168, 118, 229,  77, 222, 236, 127, 215,  68, 154,   9, 161,  50,
   0, 147,  59, 168, 118, 229,  77, 222, 236, 127, 215,  68, 154,   9, 161,  50,
   0, 148,  53, 161, 106, 254,  95, 203, 212,  64, 225, 117, 190,  42, 139,  31,
   0, 148,  53, 161, 106, 254,  95, 203, 212,  64, 225, 117, 190,  42, 139,  31,
   0, 149,  55, 162, 110, 251,  89, 204, 220,  73, 235, 126, 178,  39, 133,  16,
   0, 149,  55, 162, 110, 251,  89, 204, 220,  73, 235, 126, 178,  39, 133,  16,
   0, 150,  49, 167,  98, 244,  83, 197, 196,  82, 245,  99, 166,  48, 151,   1,
   0, 150,  49, 167,  98, 244,  83, 197, 196,  82, 245,  99, 166,  48, 151,   1,
   0, 151,  51, 164, 102, 241,  85, 194, 204,  91, 255, 104, 170,  61, 153,  14,
   0, 151,  51, 164, 102, 241,  85, 194, 204,  91, 255, 104, 170,  61, 153,  14,
   0, 152,  45, 181,  90, 194, 119, 239, 180,  44, 153,   1, 238, 118, 195,  91,
   0, 152,  45, 181,  90, 194, 119, 239, 180,  44, 153,   1, 238, 118, 195,  91,
   0, 153,  47, 182,  94, 199, 113, 232, 188,  37, 147,  10, 226, 123, 205,  84,
   0, 153,  47, 182,  94, 199, 113, 232, 188,  37, 147,  10, 226, 123, 205,  84,
   0, 154,  41, 179,  82, 200, 123, 225, 164,  62, 141,  23, 246, 108, 223,  69,
   0, 154,  41, 179,  82, 200, 123, 225, 164,  62, 141,  23, 246, 108, 223,  69,
   0, 155,  43, 176,  86, 205, 125, 230, 172,  55, 135,  28, 250,  97, 209,  74,
   0, 155,  43, 176,  86, 205, 125, 230, 172,  55, 135,  28, 250,  97, 209,  74,
   0, 156,  37, 185,  74, 214, 111, 243, 148,   8, 177,  45, 222,  66, 251, 103,
   0, 156,  37, 185,  74, 214, 111, 243, 148,   8, 177,  45, 222,  66, 251, 103,
   0, 157,  39, 186,  78, 211, 105, 244, 156,   1, 187,  38, 210,  79, 245, 104,
   0, 157,  39, 186,  78, 211, 105, 244, 156,   1, 187,  38, 210,  79, 245, 104,
   0, 158,  33, 191,  66, 220,  99, 253, 132,  26, 165,  59, 198,  88, 231, 121,
   0, 158,  33, 191,  66, 220,  99, 253, 132,  26, 165,  59, 198,  88, 231, 121,
   0, 159,  35, 188,  70, 217, 101, 250, 140,  19, 175,  48, 202,  85, 233, 118,
   0, 159,  35, 188,  70, 217, 101, 250, 140,  19, 175,  48, 202,  85, 233, 118,
   0, 160,  93, 253, 186,  26, 231,  71, 105, 201,  52, 148, 211, 115, 142,  46,
   0, 160,  93, 253, 186,  26, 231,  71, 105, 201,  52, 148, 211, 115, 142,  46,
   0, 161,  95, 254, 190,  31, 225,  64,  97, 192,  62, 159, 223, 126, 128,  33,
   0, 161,  95, 254, 190,  31, 225,  64,  97, 192,  62, 159, 223, 126, 128,  33,
   0, 162,  89, 251, 178,  16, 235,  73, 121, 219,  32, 130, 203, 105, 146,  48,
   0, 162,  89, 251, 178,  16, 235,  73, 121, 219,  32, 130, 203, 105, 146,  48,
   0, 163,  91, 248, 182,  21, 237,  78, 113, 210,  42, 137, 199, 100, 156,  63,
   0, 163,  91, 248, 182,  21, 237,  78, 113, 210,  42, 137, 199, 100, 156,  63,
   0, 164,  85, 241, 170,  14, 255,  91,  73, 237,  28, 184, 227,  71, 182,  18,
   0, 164,  85, 241, 170,  14, 255,  91,  73, 237,  28, 184, 227,  71, 182,  18,
   0, 165,  87, 242, 174,  11, 249,  92,  65, 228,  22, 179, 239,  74, 184,  29,
   0, 165,  87, 242, 174,  11, 249,  92,  65, 228,  22, 179, 239,  74, 184,  29,
   0, 166,  81, 247, 162,   4, 243,  85,  89, 255,   8, 174, 251,  93, 170,  12,
   0, 166,  81, 247, 162,   4, 243,  85,  89, 255,   8, 174, 251,  93, 170,  12,
   0, 167,  83, 244, 166,   1, 245,  82,  81, 246,   2, 165, 247,  80, 164,   3,
   0, 167,  83, 244, 166,   1, 245,  82,  81, 246,   2, 165, 247,  80, 164,   3,
   0, 168,  77, 229, 154,  50, 215, 127,  41, 129, 100, 204, 179,  27, 254,  86,
   0, 168,  77, 229, 154,  50, 215, 127,  41, 129, 100, 204, 179,  27, 254,  86,
   0, 169,  79, 230, 158,  55, 209, 120,  33, 136, 110, 199, 191,  22, 240,  89,
   0, 169,  79, 230, 158,  55, 209, 120,  33, 136, 110, 199, 191,  22, 240,  89,
   0, 170,  73, 227, 146,  56, 219, 113,  57, 147, 112, 218, 171,   1, 226,  72,
   0, 170,  73, 227, 146,  56, 219, 113,  57, 147, 112, 218, 171,   1, 226,  72,
   0, 171,  75, 224, 150,  61, 221, 118,  49, 154, 122, 209, 167,  12, 236,  71,
   0, 171,  75, 224, 150,  61, 221, 118,  49, 154, 122, 209, 167,  12, 236,  71,
   0, 172,  69, 233, 138,  38, 207,  99,   9, 165,  76, 224, 131,  47, 198, 106,
   0, 172,  69, 233, 138,  38, 207,  99,   9, 165,  76, 224, 131,  47, 198, 106,
   0, 173,  71, 234, 142,  35, 201, 100,   1, 172,  70, 235, 143,  34, 200, 101,
   0, 173,  71, 234, 142,  35, 201, 100,   1, 172,  70, 235, 143,  34, 200, 101,
   0, 174,  65, 239, 130,  44, 195, 109,  25, 183,  88, 246, 155,  53, 218, 116,
   0, 174,  65, 239, 130,  44, 195, 109,  25, 183,  88, 246, 155,  53, 218, 116,
   0, 175,  67, 236, 134,  41, 197, 106,  17, 190,  82, 253, 151,  56, 212, 123,
   0, 175,  67, 236, 134,  41, 197, 106,  17, 190,  82, 253, 151,  56, 212, 123,
   0, 176, 125, 205, 250,  74, 135,  55, 233,  89, 148,  36,  19, 163, 110, 222,
   0, 176, 125, 205, 250,  74, 135,  55, 233,  89, 148,  36,  19, 163, 110, 222,
   0, 177, 127, 206, 254,  79, 129,  48, 225,  80, 158,  47,  31, 174,  96, 209,
   0, 177, 127, 206, 254,  79, 129,  48, 225,  80, 158,  47,  31, 174,  96, 209,
   0, 178, 121, 203, 242,  64, 139,  57, 249,  75, 128,  50,  11, 185, 114, 192,
   0, 178, 121, 203, 242,  64, 139,  57, 249,  75, 128,  50,  11, 185, 114, 192,
   0, 179, 123, 200, 246,  69, 141,  62, 241,  66, 138,  57,   7, 180, 124, 207,
   0, 179, 123, 200, 246,  69, 141,  62, 241,  66, 138,  57,   7, 180, 124, 207,
   0, 180, 117, 193, 234,  94, 159,  43, 201, 125, 188,   8,  35, 151,  86, 226,
   0, 180, 117, 193, 234,  94, 159,  43, 201, 125, 188,   8,  35, 151,  86, 226,
   0, 181, 119, 194, 238,  91, 153,  44, 193, 116, 182,   3,  47, 154,  88, 237,
   0, 181, 119, 194, 238,  91, 153,  44, 193, 116, 182,   3,  47, 154,  88, 237,
   0, 182, 113, 199, 226,  84, 147,  37, 217, 111, 168,  30,  59, 141,  74, 252,
   0, 182, 113, 199, 226,  84, 147,  37, 217, 111, 168,  30,  59, 141,  74, 252,
   0, 183, 115, 196, 230,  81, 149,  34, 209, 102, 162,  21,  55, 128,  68, 243,
   0, 183, 115, 196, 230,  81, 149,  34, 209, 102, 162,  21,  55, 128,  68, 243,
   0, 184, 109, 213, 218,  98, 183,  15, 169,  17, 196, 124, 115, 203,  30, 166,
   0, 184, 109, 213, 218,  98, 183,  15, 169,  17, 196, 124, 115, 203,  30, 166,
   0, 185, 111, 214, 222, 103, 177,   8, 161,  24, 206, 119, 127, 198,  16, 169,
   0, 185, 111, 214, 222, 103, 177,   8, 161,  24, 206, 119, 127, 198,  16, 169,
   0, 186, 105, 211, 210, 104, 187,   1, 185,   3, 208, 106, 107, 209,   2, 184,
   0, 186, 105, 211, 210, 104, 187,   1, 185,   3, 208, 106, 107, 209,   2, 184,
   0, 187, 107, 208, 214, 109, 189,   6, 177,  10, 218,  97, 103, 220,  12, 183,
   0, 187, 107, 208, 214, 109, 189,   6, 177,  10, 218,  97, 103, 220,  12, 183,
   0, 188, 101, 217, 202, 118, 175,  19, 137,  53, 236,  80,  67, 255,  38, 154,
   0, 188, 101, 217, 202, 118, 175,  19, 137,  53, 236,  80,  67, 255,  38, 154,
   0, 189, 103, 218, 206, 115, 169,  20, 129,  60, 230,  91,  79, 242,  40, 149,
   0, 189, 103, 218, 206, 115, 169,  20, 129,  60, 230,  91,  79, 242,  40, 149,
   0, 190,  97, 223, 194, 124, 163,  29, 153,  39, 248,  70,  91, 229,  58, 132,
   0, 190,  97, 223, 194, 124, 163,  29, 153,  39, 248,  70,  91, 229,  58, 132,
   0, 191,  99, 220, 198, 121, 165,  26, 145,  46, 242,  77,  87, 232,  52, 139,
   0, 191,  99, 220, 198, 121, 165,  26, 145,  46, 242,  77,  87, 232,  52, 139,
   0, 192, 157,  93,  39, 231, 186, 122,  78, 142, 211,  19, 105, 169, 244,  52,
   0, 192, 157,  93,  39, 231, 186, 122,  78, 142, 211,  19, 105, 169, 244,  52,
   0, 193, 159,  94,  35, 226, 188, 125,  70, 135, 217,  24, 101, 164, 250,  59,
   0, 193, 159,  94,  35, 226, 188, 125,  70, 135, 217,  24, 101, 164, 250,  59,
   0, 194, 153,  91,  47, 237, 182, 116,  94, 156, 199,   5, 113, 179, 232,  42,
   0, 194, 153,  91,  47, 237, 182, 116,  94, 156, 199,   5, 113, 179, 232,  42,
   0, 195, 155,  88,  43, 232, 176, 115,  86, 149, 205,  14, 125, 190, 230,  37,
   0, 195, 155,  88,  43, 232, 176, 115,  86, 149, 205,  14, 125, 190, 230,  37,
   0, 196, 149,  81,  55, 243, 162, 102, 110, 170, 251,  63,  89, 157, 204,   8,
   0, 196, 149,  81,  55, 243, 162, 102, 110, 170, 251,  63,  89, 157, 204,   8,
   0, 197, 151,  82,  51, 246, 164,  97, 102, 163, 241,  52,  85, 144, 194,   7,
   0, 197, 151,  82,  51, 246, 164,  97, 102, 163, 241,  52,  85, 144, 194,   7,
   0, 198, 145,  87,  63, 249, 174, 104, 126, 184, 239,  41,  65, 135, 208,  22,
   0, 198, 145,  87,  63, 249, 174, 104, 126, 184, 239,  41,  65, 135, 208,  22,
   0, 199, 147,  84,  59, 252, 168, 111, 118, 177, 229,  34,  77, 138, 222,  25,
   0, 199, 147,  84,  59, 252, 168, 111, 118, 177, 229,  34,  77, 138, 222,  25,
   0, 200, 141,  69,   7, 207, 138,  66,  14, 198, 131,  75,   9, 193, 132,  76,
   0, 200, 141,  69,   7, 207, 138,  66,  14, 198, 131,  75,   9, 193, 132,  76,
   0, 201, 143,  70,   3, 202, 140,  69,   6, 207, 137,  64,   5, 204, 138,  67,
   0, 201, 143,  70,   3, 202, 140,  69,   6, 207, 137,  64,   5, 204, 138,  67,
   0, 202, 137,  67,  15, 197, 134,  76,  30, 212, 151,  93,  17, 219, 152,  82,
   0, 202, 137,  67,  15, 197, 134,  76,  30, 212, 151,  93,  17, 219, 152,  82,
   0, 203, 139,  64,  11, 192, 128,  75,  22, 221, 157,  86,  29, 214, 150,  93,
   0, 203, 139,  64,  11, 192, 128,  75,  22, 221, 157,  86,  29, 214, 150,  93,
   0, 204, 133,  73,  23, 219, 146,  94,  46, 226, 171, 103,  57, 245, 188, 112,
   0, 204, 133,  73,  23, 219, 146,  94,  46, 226, 171, 103,  57, 245, 188, 112,
   0, 205, 135,  74,  19, 222, 148,  89,  38, 235, 161, 108,  53, 248, 178, 127,
   0, 205, 135,  74,  19, 222, 148,  89,  38, 235, 161, 108,  53, 248, 178, 127,
   0, 206, 129,  79,  31, 209, 158,  80,  62, 240, 191, 113,  33, 239, 160, 110,
   0, 206, 129,  79,  31, 209, 158,  80,  62, 240, 191, 113,  33, 239, 160, 110,
   0, 207, 131,  76,  27, 212, 152,  87,  54, 249, 181, 122,  45, 226, 174,  97,
   0, 207, 131,  76,  27, 212, 152,  87,  54, 249, 181, 122,  45, 226, 174,  97,
   0, 208, 189, 109, 103, 183, 218,  10, 206,  30, 115, 163, 169, 121,  20, 196,
   0, 208, 189, 109, 103, 183, 218,  10, 206,  30, 115, 163, 169, 121,  20, 196,
   0, 209, 191, 110,  99, 178, 220,  13, 198,  23, 121, 168, 165, 116,  26, 203,
   0, 209, 191, 110,  99, 178, 220,  13, 198,  23, 121, 168, 165, 116,  26, 203,
   0, 210, 185, 107, 111, 189, 214,   4, 222,  12, 103, 181, 177,  99,   8, 218,
   0, 210, 185, 107, 111, 189, 214,   4, 222,  12, 103, 181, 177,  99,   8, 218,
   0, 211, 187, 104, 107, 184, 208,   3, 214,   5, 109, 190, 189, 110,   6, 213,
   0, 211, 187, 104, 107, 184, 208,   3, 214,   5, 109, 190, 189, 110,   6, 213,
   0, 212, 181,  97, 119, 163, 194,  22, 238,  58,  91, 143, 153,  77,  44, 248,
   0, 212, 181,  97, 119, 163, 194,  22, 238,  58,  91, 143, 153,  77,  44, 248,
   0, 213, 183,  98, 115, 166, 196,  17, 230,  51,  81, 132, 149,  64,  34, 247,
   0, 213, 183,  98, 115, 166, 196,  17, 230,  51,  81, 132, 149,  64,  34, 247,
   0, 214, 177, 103, 127, 169, 206,  24, 254,  40,  79, 153, 129,  87,  48, 230,
   0, 214, 177, 103, 127, 169, 206,  24, 254,  40,  79, 153, 129,  87,  48, 230,
   0, 215, 179, 100, 123, 172, 200,  31, 246,  33,  69, 146, 141,  90,  62, 233,
   0, 215, 179, 100, 123, 172, 200,  31, 246,  33,  69, 146, 141,  90,  62, 233,
   0, 216, 173, 117,  71, 159, 234,  50, 142,  86,  35, 251, 201,  17, 100, 188,
   0, 216, 173, 117,  71, 159, 234,  50, 142,  86,  35, 251, 201,  17, 100, 188,
   0, 217, 175, 118,  67, 154, 236,  53, 134,  95,  41, 240, 197,  28, 106, 179,
   0, 217, 175, 118,  67, 154, 236,  53, 134,  95,  41, 240, 197,  28, 106, 179,
   0, 218, 169, 115,  79, 149, 230,  60, 158,  68,  55, 237, 209,  11, 120, 162,
   0, 218, 169, 115,  79, 149, 230,  60, 158,  68,  55, 237, 209,  11, 120, 162,
   0, 219, 171, 112,  75, 144, 224,  59, 150,  77,  61, 230, 221,   6, 118, 173,
   0, 219, 171, 112,  75, 144, 224,  59, 150,  77,  61, 230, 221,   6, 118, 173,
   0, 220, 165, 121,  87, 139, 242,  46, 174, 114,  11, 215, 249,  37,  92, 128,
   0, 220, 165, 121,  87, 139, 242,  46, 174, 114,  11, 215, 249,  37,  92, 128,
   0, 221, 167, 122,  83, 142, 244,  41, 166, 123,   1, 220, 245,  40,  82, 143,
   0, 221, 167, 122,  83, 142, 244,  41, 166, 123,   1, 220, 245,  40,  82, 143,
   0, 222, 161, 127,  95, 129, 254,  32, 190,  96,  31, 193, 225,  63,  64, 158,
   0, 222, 161, 127,  95, 129, 254,  32, 190,  96,  31, 193, 225,  63,  64, 158,
   0, 223, 163, 124,  91, 132, 248,  39, 182, 105,  21, 202, 237,  50,  78, 145,
   0, 223, 163, 124,  91, 132, 248,  39, 182, 105,  21, 202, 237,  50,  78, 145,
   0, 224, 221,  61, 167,  71, 122, 154,  83, 179, 142, 110, 244,  20,  41, 201,
   0, 224, 221,  61, 167,  71, 122, 154,  83, 179, 142, 110, 244,  20,  41, 201,
   0, 225, 223,  62, 163,  66, 124, 157,  91, 186, 132, 101, 248,  25,  39, 198,
   0, 225, 223,  62, 163,  66, 124, 157,  91, 186, 132, 101, 248,  25,  39, 198,
   0, 226, 217,  59, 175,  77, 118, 148,  67, 161, 154, 120, 236,  14,  53, 215,
   0, 226, 217,  59, 175,  77, 118, 148,  67, 161, 154, 120, 236,  14,  53, 215,
   0, 227, 219,  56, 171,  72, 112, 147,  75, 168, 144, 115, 224,   3,  59, 216,
   0, 227, 219,  56, 171,  72, 112, 147,  75, 168, 144, 115, 224,   3,  59, 216,
   0, 228, 213,  49, 183,  83,  98, 134, 115, 151, 166,  66, 196,  32,  17, 245,
   0, 228, 213,  49, 183,  83,  98, 134, 115, 151, 166,  66, 196,  32,  17, 245,
   0, 229, 215,  50, 179,  86, 100, 129, 123, 158, 172,  73, 200,  45,  31, 250,
   0, 229, 215,  50, 179,  86, 100, 129, 123, 158, 172,  73, 200,  45,  31, 250,
   0, 230, 209,  55, 191,  89, 110, 136,  99, 133, 178,  84, 220,  58,  13, 235,
   0, 230, 209,  55, 191,  89, 110, 136,  99, 133, 178,  84, 220,  58,  13, 235,
   0, 231, 211,  52, 187,  92, 104, 143, 107, 140, 184,  95, 208,  55,   3, 228,
   0, 231, 211,  52, 187,  92, 104, 143, 107, 140, 184,  95, 208,  55,   3, 228,
   0, 232, 205,  37, 135, 111,  74, 162,  19, 251, 222,  54, 148, 124,  89, 177,
   0, 232, 205,  37, 135, 111,  74, 162,  19, 251, 222,  54, 148, 124,  89, 177,
   0, 233, 207,  38, 131, 106,  76, 165,  27, 242, 212,  61, 152, 113,  87, 190,
   0, 233, 207,  38, 131, 106,  76, 165,  27, 242, 212,  61, 152, 113,  87, 190,
   0, 234, 201,  35, 143, 101,  70, 172,   3, 233, 202,  32, 140, 102,  69, 175,
   0, 234, 201,  35, 143, 101,  70, 172,   3, 233, 202,  32, 140, 102,  69, 175,
   0, 235, 203,  32, 139,  96,  64, 171,  11, 224, 192,  43, 128, 107,  75, 160,
   0, 235, 203,  32, 139,  96,  64, 171,  11, 224, 192,  43, 128, 107,  75, 160,
   0, 236, 197,  41, 151, 123,  82, 190,  51, 223, 246,  26, 164,  72,  97, 141,
   0, 236, 197,  41, 151, 123,  82, 190,  51, 223, 246,  26, 164,  72,  97, 141,
   0, 237, 199,  42, 147, 126,  84, 185,  59, 214, 252,  17, 168,  69, 111, 130,
   0, 237, 199,  42, 147, 126,  84, 185,  59, 214, 252,  17, 168,  69, 111, 130,
   0, 238, 193,  47, 159, 113,  94, 176,  35, 205, 226,  12, 188,  82, 125, 147,
   0, 238, 193,  47, 159, 113,  94, 176,  35, 205, 226,  12, 188,  82, 125, 147,
   0, 239, 195,  44, 155, 116,  88, 183,  43, 196, 232,   7, 176,  95, 115, 156,
   0, 239, 195,  44, 155, 116,  88, 183,  43, 196, 232,   7, 176,  95, 115, 156,
   0, 240, 253,  13, 231,  23,  26, 234, 211,  35,  46, 222,  52, 196, 201,  57,
   0, 240, 253,  13, 231,  23,  26, 234, 211,  35,  46, 222,  52, 196, 201,  57,
   0, 241, 255,  14, 227,  18,  28, 237, 219,  42,  36, 213,  56, 201, 199,  54,
   0, 241, 255,  14, 227,  18,  28, 237, 219,  42,  36, 213,  56, 201, 199,  54,
   0, 242, 249,  11, 239,  29,  22, 228, 195,  49,  58, 200,  44, 222, 213,  39,
   0, 242, 249,  11, 239,  29,  22, 228, 195,  49,  58, 200,  44, 222, 213,  39,
   0, 243, 251,   8, 235,  24,  16, 227, 203,  56,  48, 195,  32, 211, 219,  40,
   0, 243, 251,   8, 235,  24,  16, 227, 203,  56,  48, 195,  32, 211, 219,  40,
   0, 244, 245,   1, 247,   3,   2, 246, 243,   7,   6, 242,   4, 240, 241,   5,
   0, 244, 245,   1, 247,   3,   2, 246, 243,   7,   6, 242,   4, 240, 241,   5,
   0, 245, 247,   2, 243,   6,   4, 241, 251,  14,  12, 249,   8, 253, 255,  10,
   0, 245, 247,   2, 243,   6,   4, 241, 251,  14,  12, 249,   8, 253, 255,  10,
   0, 246, 241,   7, 255,   9,  14, 248, 227,  21,  18, 228,  28, 234, 237,  27,
   0, 246, 241,   7, 255,   9,  14, 248, 227,  21,  18, 228,  28, 234, 237,  27,
   0, 247, 243,   4, 251,  12,   8, 255, 235,  28,  24, 239,  16, 231, 227,  20,
   0, 247, 243,   4, 251,  12,   8, 255, 235,  28,  24, 239,  16, 231, 227,  20,
   0, 248, 237,  21, 199,  63,  42, 210, 147, 107, 126, 134,  84, 172, 185,  65,
   0, 248, 237,  21, 199,  63,  42, 210, 147, 107, 126, 134,  84, 172, 185,  65,
   0, 249, 239,  22, 195,  58,  44, 213, 155,  98, 116, 141,  88, 161, 183,  78,
   0, 249, 239,  22, 195,  58,  44, 213, 155,  98, 116, 141,  88, 161, 183,  78,
   0, 250, 233,  19, 207,  53,  38, 220, 131, 121, 106, 144,  76, 182, 165,  95,
   0, 250, 233,  19, 207,  53,  38, 220, 131, 121, 106, 144,  76, 182, 165,  95,
   0, 251, 235,  16, 203,  48,  32, 219, 139, 112,  96, 155,  64, 187, 171,  80,
   0, 251, 235,  16, 203,  48,  32, 219, 139, 112,  96, 155,  64, 187, 171,  80,
   0, 252, 229,  25, 215,  43,  50, 206, 179,  79,  86, 170, 100, 152, 129, 125,
   0, 252, 229,  25, 215,  43,  50, 206, 179,  79,  86, 170, 100, 152, 129, 125,
   0, 253, 231,  26, 211,  46,  52, 201, 187,  70,  92, 161, 104, 149, 143, 114,
   0, 253, 231,  26, 211,  46,  52, 201, 187,  70,  92, 161, 104, 149, 143, 114,
   0, 254, 225,  31, 223,  33,  62, 192, 163,  93,  66, 188, 124, 130, 157,  99,
   0, 254, 225,  31, 223,  33,  62, 192, 163,  93,  66, 188, 124, 130, 157,  99,
   0, 255, 227,  28, 219,  36,  56, 199, 171,  84,  72, 183, 112, 143, 147, 108,
   0, 255, 227,  28, 219,  36,  56, 199, 171,  84,  72, 183, 112, 143, 147, 108,
};

static uint8_t gf256_high_ptr[] = {
   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
   0,  16,  32,  48,  64,  80,  96, 112, 128, 144, 160, 176, 192, 208, 224, 240,
   0,  16,  32,  48,  64,  80,  96, 112, 128, 144, 160, 176, 192, 208, 224, 240,
   0,  32,  64,  96, 128, 160, 192, 224,  29,  61,  93, 125, 157, 189, 221, 253,
   0,  32,  64,  96, 128, 160, 192, 224,  29,  61,  93, 125, 157, 189, 221, 253,
   0,  48,  96,  80, 192, 240, 160, 144, 157, 173, 253, 205,  93, 109,  61,  13,
   0,  48,  96,  80, 192, 240, 160, 144, 157, 173, 253, 205,  93, 109,  61,  13,
   0,  64, 128, 192,  29,  93, 157, 221,  58, 122, 186, 250,  39, 103, 167, 231,
   0,  64, 128, 192,  29,  93, 157, 221,  58, 122, 186, 250,  39, 103, 167, 231,
   0,  80, 160, 240,  93,  13, 253, 173, 186, 234,  26,  74, 231, 183,  71,  23,
   0,  80, 160, 240,  93,  13, 253, 173, 186, 234,  26,  74, 231, 183,  71,  23,
   0,  96, 192, 160, 157, 253,  93,  61,  39,  71, 231, 135, 186, 218, 122,  26,
   0,  96, 192, 160, 157, 253,  93,  61,  39,  71, 231, 135, 186, 218, 122,  26,
   0, 112, 224, 144, 221, 173,  61,  77, 167, 215,  71,  55, 122,  10, 154, 234,
   0, 112, 224, 144, 221, 173,  61,  77, 167, 215,  71,  55, 122,  10, 154, 234,
   0, 128,  29, 157,  58, 186,  39, 167, 116, 244, 105, 233,  78, 206,  83, 211,
   0, 128,  29, 157,  58, 186,  39, 167, 116, 244, 105, 233,  78, 206,  83, 211,
   0, 144,  61, 173, 122, 234,  71, 215, 244, 100, 201,  89, 142,  30, 179,  35,
   0, 144,  61, 173, 122, 234,  71, 215, 244, 100, 201,  89, 142,  30, 179,  35,
   0, 160,  93, 253, 186,  26, 231,  71, 105, 201,  52, 148, 211, 115, 142,  46,
   0, 160,  93, 253, 186,  26, 231,  71, 105, 201,  52, 148, 211, 115, 142,  46,
   0, 176, 125, 205, 250,  74, 135,  55, 233,  89, 148,  36,  19, 163, 110, 222,
   0, 176, 125, 205, 250,  74, 135,  55, 233,  89, 148,  36,  19, 163, 110, 222,
   0, 192, 157,  93,  39, 231, 186, 122,  78, 142, 211,  19, 105, 169, 244,  52,
   0, 192, 157,  93,  39, 231, 186, 122,  78, 142, 211,  19, 105, 169, 244,  52,
   0, 208, 189, 109, 103, 183, 218,  10, 206,  30, 115, 163, 169, 121,  20, 196,
   0, 208, 189, 109, 103, 183, 218,  10, 206,  30, 115, 163, 169, 121,  20, 196,
   0, 224, 221,  61, 167,  71, 122, 154,  83, 179, 142, 110, 244,  20,  41, 201,
   0, 224, 221,  61, 167,  71, 122, 154,  83, 179, 142, 110, 244,  20,  41, 201,
   0, 240, 253,  13, 231,  23,  26, 234, 211,  35,  46, 222,  52, 196, 201,  57,
   0, 240, 253,  13, 231,  23,  26, 234, 211,  35,  46, 222,  52, 196, 201,  57,
   0,  29,  58,  39, 116, 105,  78,  83, 232, 245, 210, 207, 156, 129, 166, 187,
   0,  29,  58,  39, 116, 105,  78,  83, 232, 245, 210, 207, 156, 129, 166, 187,
   0,  13,  26,  23,  52,  57,  46,  35, 104, 101, 114, 127,  92,  81,  70,  75,
   0,  13,  26,  23,  52,  57,  46,  35, 104, 101, 114, 127,  92,  81,  70,  75,
   0,  61, 122,  71, 244, 201, 142, 179, 245, 200, 143, 178,   1,  60, 123,  70,
   0,  61, 122,  71, 244, 201, 142, 179, 245, 200, 143, 178,   1,  60, 123,  70,
   0,  45,  90, 119, 180, 153, 238, 195, 117,  88,  47,   2, 193, 236, 155, 182,
   0,  45,  90, 119, 180, 153, 238, 195, 117,  88,  47,   2, 193, 236, 155, 182,
   0,  93, 186, 231, 105,  52, 211, 142, 210, 143, 104,  53, 187, 230,   1,  92,
   0,  93, 186, 231, 105,  52, 211, 142, 210, 143, 104,  53, 187, 230,   1,  92,
   0,  77, 154, 215,  41, 100, 179, 254,  82,  31, 200, 133, 123,  54, 225, 172,
   0,  77, 154, 215,  41, 100, 179, 254,  82,  31, 200, 133, 123,  54, 225, 172,
   0, 125, 250, 135, 233, 148,  19, 110, 207, 178,  53,  72,  38,  91, 220, 161,
   0, 125, 250, 135, 233, 148,  19, 110, 207, 178,  53,  72,  38,  91, 220, 161,
   0, 109, 218, 183, 169, 196, 115,  30,  79,  34, 149, 248, 230, 139,  60,  81,
   0, 109, 218, 183, 169, 196, 115,  30,  79,  34, 149, 248, 230, 139,  60,  81,
   0, 157,  39, 186,  78, 211, 105, 244, 156,   1, 187,  38, 210,  79, 245, 104,
   0, 157,  39, 186,  78, 211, 105, 244, 156,   1, 187,  38, 210,  79, 245, 104,
   0, 141,   7, 138,  14, 131,   9, 132,  28, 145,  27, 150,  18, 159,  21, 152,
   0, 141,   7, 138,  14, 131,   9, 132,  28, 145,  27, 150,  18, 159,  21, 152,
   0, 189, 103, 218, 206, 115, 169,  20, 129,  60, 230,  91,  79, 242,  40, 149,
   0, 189, 103, 218, 206, 115, 169,  20, 129,  60, 230,  91,  79, 242,  40, 149,
   0, 173,  71, 234, 142,  35, 201, 100,   1, 172,  70, 235, 143,  34, 200, 101,
   0, 173,  71, 234, 142,  35, 201, 100,   1, 172,  70, 235, 143,  34, 200, 101,
   0, 221, 167, 122,  83, 142, 244,  41, 166, 123,   1, 220, 245,  40,  82, 143,
   0, 221, 167, 122,  83, 142, 244,  41, 166, 123,   1, 220, 245,  40,  82, 143,
   0, 205, 135,  74,  19, 222, 148,  89,  38, 235, 161, 108,  53, 248, 178, 127,
   0, 205, 135,  74,  19, 222, 148,  89,  38, 235, 161, 108,  53, 248, 178, 127,
   0, 253, 231,  26, 211,  46,  52, 201, 187,  70,  92, 161, 104, 149, 143, 114,
   0, 253, 231,  26, 211,  46,  52, 201, 187,  70,  92, 161, 104, 149, 143, 114,
   0, 237, 199,  42, 147, 126,  84, 185,  59, 214, 252,  17, 168,  69, 111, 130,
   0, 237, 199,  42, 147, 126,  84, 185,  59, 214, 252,  17, 168,  69, 111, 130,
   0,  58, 116,  78, 232, 210, 156, 166, 205, 247, 185, 131,  37,  31,  81, 107,
   0,  58, 116,  78, 232, 210, 156, 166, 205, 247, 185, 131,  37,  31,  81, 107,
   0,  42,  84, 126, 168, 130, 252, 214,  77, 103,  25,  51, 229, 207, 177, 155,
   0,  42,  84, 126, 168, 130, 252, 214,  77, 103,  25,  51, 229, 207, 177, 155,
   0,  26,  52,  46, 104, 114,  92,  70, 208, 202, 228, 254, 184, 162, 140, 150,
   0,  26,  52,  46, 104, 114,  92,  70, 208, 202, 228, 254, 184, 162, 140, 150,
   0,  10,  20,  30,  40,  34,  60,  54,  80,  90,  68,  78, 120, 114, 108, 102,
   0,  10,  20,  30,  40,  34,  60,  54,  80,  90,  68,  78, 120, 114, 108, 102,
   0, 122, 244, 142, 245, 143,   1, 123, 247, 141,   3, 121,   2, 120, 246, 140,
   0, 122, 244, 142, 245, 143,   1, 123, 247, 141,   3, 121,   2, 120, 246, 140,
   0, 106, 212, 190, 181, 223,  97,  11, 119,  29, 163, 201, 194, 168,  22, 124,
   0, 106, 212, 190, 181, 223,  97,  11, 119,  29, 163, 201, 194, 168,  22, 124,
   0,  90, 180, 238, 117,  47, 193, 155, 234, 176,  94,   4, 159, 197,  43, 113,
   0,  90, 180, 238, 117,  47, 193, 155, 234, 176,  94,   4, 159, 197,  43, 113,
   0,  74, 148, 222,  53, 127, 161, 235, 106,  32, 254, 180,  95,  21, 203, 129,
   0,  74, 148, 222,  53, 127, 161, 235, 106,  32, 254, 180,  95,  21, 203, 129,
   0, 186, 105, 211, 210, 104, 187,   1, 185,   3, 208, 106, 107, 209,   2, 184,
   0, 186, 105, 211, 210, 104, 187,   1, 185,   3, 208, 106, 107, 209,   2, 184,
   0, 170,  73, 227, 146,  56, 219, 113,  57, 147, 112, 218, 171,   1, 226,  72,
   0, 170,  73, 227, 146,  56, 219, 113,  57, 147, 112, 218, 171,   1, 226,  72,
   0, 154,  41, 179,  82, 200, 123, 225, 164,  62, 141,  23, 246, 108, 223,  69,
   0, 154,  41, 179,  82, 200, 123, 225, 164,  62, 141,  23, 246, 108, 223,  69,
   0, 138,   9, 131,  18, 152,  27, 145,  36, 174,  45, 167,  54, 188,  63, 181,
   0, 138,   9, 131,  18, 152,  27, 145,  36, 174,  45, 167,  54, 188,  63, 181,
   0, 250, 233,  19, 207,  53,  38, 220, 131, 121, 106, 144,  76, 182, 165,  95,
   0, 250, 233,  19, 207,  53,  38, 220, 131, 121, 106, 144,  76, 182, 165,  95,
   0, 234, 201,  35, 143, 101,  70, 172,   3, 233, 202,  32, 140, 102,  69, 175,
   0, 234, 201,  35, 143, 101,  70, 172,   3, 233, 202,  32, 140, 102,  69, 175,
   0, 218, 169, 115,  79, 149, 230,  60, 158,  68,  55, 237, 209,  11, 120, 162,
   0, 218, 169, 115,  79, 149, 230,  60, 158,  68,  55, 237, 209,  11, 120, 162,
   0, 202, 137,  67,  15, 197, 134,  76,  30, 212, 151,  93,  17, 219, 152,  82,
   0, 202, 137,  67,  15, 197, 134,  76,  30, 212, 151,  93,  17, 219, 152,  82,
   0,  39,  78, 105, 156, 187, 210, 245,  37,   2, 107,  76, 185, 158, 247, 208,
   0,  39,  78, 105, 156, 187, 210, 245,  37,   2, 107,  76, 185, 158, 247, 208,
   0,  55, 110,  89, 220, 235, 178, 133, 165, 146, 203, 252, 121,  78,  23,  32,
   0,  55, 110,  89, 220, 235, 178, 133, 165, 146, 203, 252, 121,  78,  23,  32,
   0,   7,  14,   9,  28,  27,  18,  21,  56,  63,  54,  49,  36,  35,  42,  45,
   0,   7,  14,   9,  28,  27,  18,  21,  56,  63,  54,  49,  36,  35,  42,  45,
   0,  23,  46,  57,  92,  75, 114, 101, 184, 175, 150, 129, 228, 243, 202, 221,
   0,  23,  46,  57,  92,  75, 114, 101, 184, 175, 150, 129, 228, 243, 202, 221,
   0, 103, 206, 169, 129, 230,  79,  40,  31, 120, 209, 182, 158, 249,  80,  55,
   0, 103, 206, 169, 129, 230,  79,  40,  31, 120, 209, 182, 158, 249,  80,  55,
   0, 119, 238, 153, 193, 182,  47,  88, 159, 232, 113,   6,  94,  41, 176, 199,
   0, 119, 238, 153, 193, 182,  47,  88, 159, 232, 113,   6,  94,  41, 176, 199,
   0,  71, 142, 201,   1,  70, 143, 200,   2,  69, 140, 203,   3,  68, 141, 202,
   0,  71, 142, 201,   1,  70, 143, 200,   2,  69, 140, 203,   3,  68, 141, 202,
   0,  87, 174, 249,  65,  22, 239, 184, 130, 213,  44, 123, 195, 148, 109,  58,
   0,  87, 174, 249,  65,  22, 239, 184, 130, 213,  44, 123, 195, 148, 109,  58,
   0, 167,  83, 244, 166,   1, 245,  82,  81, 246,   2, 165, 247,  80, 164,   3,
   0, 167,  83, 244, 166,   1, 245,  82,  81, 246,   2, 165, 247,  80, 164,   3,
   0, 183, 115, 196, 230,  81, 149,  34, 209, 102, 162,  21,  55, 128,  68, 243,
   0, 183, 115, 196, 230,  81, 149,  34, 209, 102, 162,  21,  55, 128,  68, 243,
   0, 135,  19, 148,  38, 161,  53, 178,  76, 203,  95, 216, 106, 237, 121, 254,
   0, 135,  19, 148,  38, 161,  53, 178,  76, 203,  95, 216, 106, 237, 121, 254,
   0, 151,  51, 164, 102, 241,  85, 194, 204,  91, 255, 104, 170,  61, 153,  14,
   0, 151,  51, 164, 102, 241,  85, 194, 204,  91, 255, 104, 170,  61, 153,  14,
   0, 231, 211,  52, 187,  92, 104, 143, 107, 140, 184,  95, 208,  55,   3, 228,
   0, 231, 211,  52, 187,  92, 104, 143, 107, 140, 184,  95, 208,  55,   3, 228,
   0, 247, 243,   4, 251,  12,   8, 255, 235,  28,  24, 239,  16, 231, 227,  20,
   0, 247, 243,   4, 251,  12,   8, 255, 235,  28,  24, 239,  16, 231, 227,  20,
   0, 199, 147,  84,  59, 252, 168, 111, 118, 177, 229,  34,  77, 138, 222,  25,
   0, 199, 147,  84,  59, 252, 168, 111, 118, 177, 229,  34,  77, 138, 222,  25,
   0, 215, 179, 100, 123, 172, 200,  31, 246,  33,  69, 146, 141,  90,  62, 233,
   0, 215, 179, 100, 123, 172, 200,  31, 246,  33,  69, 146, 141,  90,  62, 233,
   0, 116, 232, 156, 205, 185,  37,  81, 135, 243, 111,  27,  74,  62, 162, 214,
   0, 116, 232, 156, 205, 185,  37,  81, 135, 243, 111,  27,  74,  62, 162, 214,
   0, 100, 200, 172, 141, 233,  69,  33,   7,  99, 207, 171, 138, 238,  66,  38,
   0, 100, 200, 172, 141, 233,  69,  33,   7,  99, 207, 171, 138, 238,  66,  38,
   0,  84, 168, 252,  77,  25, 229, 177, 154, 206,  50, 102, 215, 131, 127,  43,
   0,  84, 168, 252,  77,  25, 229, 177, 154, 206,  50, 102, 215, 131, 127,  43,
   0,  68, 136, 204,  13,  73, 133, 193,  26,  94, 146, 214,  23,  83, 159, 219,
   0,  68, 136, 204,  13,  73, 133, 193,  26,  94, 146, 214,  23,  83, 159, 219,
   0,  52, 104,  92, 208, 228, 184, 140, 189, 137, 213, 225, 109,  89,   5,  49,
   0,  52, 104,  92, 208, 228, 184, 140, 189, 137, 213, 225, 109,  89,   5,  49,
   0,  36,  72, 108, 144, 180, 216, 252,  61,  25, 117,  81, 173, 137, 229, 193,
   0,  36,  72, 108, 144, 180, 216, 252,  61,  25, 117,  81, 173, 137, 229, 193,
   0,  20,  40,  60,  80,  68, 120, 108, 160, 180, 136, 156, 240, 228, 216, 204,
   0,  20,  40,  60,  80,  68, 120, 108, 160, 180, 136, 156, 240, 228, 216, 204,
   0,   4,   8,  12,  16,  20,  24,  28,  32,  36,  40,  44,  48,  52,  56,  60,
   0,   4,   8,  12,  16,  20,  24,  28,  32,  36,  40,  44,  48,  52,  56,  60,
   0, 244, 245,   1, 247,   3,   2, 246, 243,   7,   6, 242,   4, 240, 241,   5,
   0, 244, 245,   1, 247,   3,   2, 246, 243,   7,   6, 242,   4, 240, 241,   5,
   0, 228, 213,  49, 183,  83,  98, 134, 115, 151, 166,  66, 196,  32,  17, 245,
   0, 228, 213,  49, 183,  83,  98, 134, 115, 151, 166,  66, 196,  32,  17, 245,
   0, 212, 181,  97, 119, 163, 194,  22, 238,  58,  91, 143, 153,  77,  44, 248,
   0, 212, 181,  97, 119, 163, 194,  22, 238,  58,  91, 143, 153,  77,  44, 248,
   0, 196, 149,  81,  55, 243, 162, 102, 110, 170, 251,  63,  89, 157, 204,   8,
   0, 196, 149,  81,  55, 243, 162, 102, 110, 170, 251,  63,  89, 157, 204,   8,
   0, 180, 117, 193, 234,  94, 159,  43, 201, 125, 188,   8,  35, 151,  86, 226,
   0, 180, 117, 193, 234,  94, 159,  43, 201, 125, 188,   8,  35, 151,  86, 226,
   0, 164,  85, 241, 170,  14, 255,  91,  73, 237,  28, 184, 227,  71, 182,  18,
   0, 164,  85, 241, 170,  14, 255,  91,  73, 237,  28, 184, 227,  71, 182,  18,
   0, 148,  53, 161, 106, 254,  95, 203, 212,  64, 225, 117, 190,  42, 139,  31,
   0, 148,  53, 161, 106, 254,  95, 203, 212,  64, 225, 117, 190,  42, 139,  31,
   0, 132,  21, 145,  42, 174,  63, 187,  84, 208,  65, 197, 126, 250, 107, 239,
   0, 132,  21, 145,  42, 174,  63, 187,  84, 208,  65, 197, 126, 250, 107, 239,
   0, 105, 210, 187, 185, 208, 107,   2, 111,   6, 189, 212, 214, 191,   4, 109,
   0, 105, 210, 187, 185, 208, 107,   2, 111,   6, 189, 212, 214, 191,   4, 109,
   0, 121, 242, 139, 249, 128,  11, 114, 239, 150,  29, 100,  22, 111, 228, 157,
   0, 121, 242, 139, 249, 128,  11, 114, 239, 150,  29, 100,  22, 111, 228, 157,
   0,  73, 146, 219,  57, 112, 171, 226, 114,  59, 224, 169,  75,   2, 217, 144,
   0,  73, 146, 219,  57, 112, 171, 226, 114,  59, 224, 169,  75,   2, 217, 144,
   0,  89, 178, 235, 121,  32, 203, 146, 242, 171,  64,  25, 139, 210,  57,  96,
   0,  89, 178, 235, 121,  32, 203, 146, 242, 171,  64,  25, 139, 210,  57,  96,
   0,  41,  82, 123, 164, 141, 246, 223,  85, 124,   7,  46, 241, 216, 163, 138,
   0,  41,  82, 123, 164, 141, 246, 223,  85, 124,   7,  46, 241, 216, 163, 138,
   0,  57, 114,  75, 228, 221, 150, 175, 213, 236, 167, 158,  49,   8,  67, 122,
   0,  57, 114,  75, 228, 221, 150, 175, 213, 236, 167, 158,  49,   8,  67, 122,
   0,   9,  18,  27,  36,  45,  54,  63,  72,  65,  90,  83, 108, 101, 126, 119,
   0,   9,  18,  27,  36,  45,  54,  63,  72,  65,  90,  83, 108, 101, 126, 119,
   0,  25,  50,  43, 100, 125,  86,  79, 200, 209, 250, 227, 172, 181, 158, 135,
   0,  25,  50,  43, 100, 125,  86,  79, 200, 209, 250, 227, 172, 181, 158, 135,
   0, 233, 207,  38, 131, 106,  76, 165,  27, 242, 212,  61, 152, 113,  87, 190,
   0, 233, 207,  38, 131, 106,  76, 165,  27, 242, 212,  61, 152, 113,  87, 190,
   0, 249, 239,  22, 195,  58,  44, 213, 155,  98, 116, 141,  88, 161, 183,  78,
   0, 249, 239,  22, 195,  58,  44, 213, 155,  98, 116, 141,  88, 161, 183,  78,
   0, 201, 143,  70,   3, 202, 140,  69,   6, 207, 137,  64,   5, 204, 138,  67,
   0, 201, 143,  70,   3, 202, 140,  69,   6, 207, 137,  64,   5, 204, 138,  67,
   0, 217, 175, 118,  67, 154, 236,  53, 134,  95,  41, 240, 197,  28, 106, 179,
   0, 217, 175, 118,  67, 154, 236,  53, 134,  95,  41, 240, 197,  28, 106, 179,
   0, 169,  79, 230, 158,  55, 209, 120,  33, 136, 110, 199, 191,  22, 240,  89,
   0, 169,  79, 230, 158,  55, 209, 120,  33, 136, 110, 199, 191,  22, 240,  89,
   0, 185, 111, 214, 222, 103, 177,   8, 161,  24, 206, 119, 127, 198,  16, 169,
   0, 185, 111, 214, 222, 103, 177,   8, 161,  24, 206, 119, 127, 198,  16, 169,
   0, 137,  15, 134,  30, 151,  17, 152,  60, 181,  51, 186,  34, 171,  45, 164,
   0, 137,  15, 134,  30, 151,  17, 152,  60, 181,  51, 186,  34, 171,  45, 164,
   0, 153,  47, 182,  94, 199, 113, 232, 188,  37, 147,  10, 226, 123, 205,  84,
   0, 153,  47, 182,  94, 199, 113, 232, 188,  37, 147,  10, 226, 123, 205,  84,
   0,  78, 156, 210,  37, 107, 185, 247,  74,   4, 214, 152, 111,  33, 243, 189,
   0,  78, 156, 210,  37, 107, 185, 247,  74,   4, 214, 152, 111,  33, 243, 189,
   0,  94, 188, 226, 101,  59, 217, 135, 202, 148, 118,  40, 175, 241,  19,  77,
   0,  94, 188, 226, 101,  59, 217, 135, 202, 148, 118,  40, 175, 241,  19,  77,
   0, 110, 220, 178, 165, 203, 121,  23,  87,  57, 139, 229, 242, 156,  46,  64,
   0, 110, 220, 178, 165, 203, 121,  23,  87,  57, 139, 229, 242, 156,  46,  64,
   0, 126, 252, 130, 229, 155,  25, 103, 215, 169,  43,  85,  50,  76, 206, 176,
   0, 126, 252, 130, 229, 155,  25, 103, 215, 169,  43,  85,  50,  76, 206, 176,
   0,  14,  28,  18,  56,  54,  36,  42, 112, 126, 108,  98,  72,  70,  84,  90,
   0,  14,  28,  18,  56,  54,  36,  42, 112, 126, 108,  98,  72,  70,  84,  90,
   0,  30,  60,  34, 120, 102,  68,  90, 240, 238, 204, 210, 136, 150, 180, 170,
   0,  30,  60,  34, 120, 102,  68,  90, 240, 238, 204, 210, 136, 150, 180, 170,
   0,  46,  92, 114, 184, 150, 228, 202, 109,  67,  49,  31, 213, 251, 137, 167,
   0,  46,  92, 114, 184, 150, 228, 202, 109,  67,  49,  31, 213, 251, 137, 167,
   0,  62, 124,  66, 248, 198, 132, 186, 237, 211, 145, 175,  21,  43, 105,  87,
   0,  62, 124,  66, 248, 198, 132, 186, 237, 211, 145, 175,  21,  43, 105,  87,
   0, 206, 129,  79,  31, 209, 158,  80,  62, 240, 191, 113,  33, 239, 160, 110,
   0, 206, 129,  79,  31, 209, 158,  80,  62, 240, 191, 113,  33, 239, 160, 110,
   0, 222, 161, 127,  95, 129, 254,  32, 190,  96,  31, 193, 225,  63,  64, 158,
   0, 222, 161, 127,  95, 129, 254,  32, 190,  96,  31, 193, 225,  63,  64, 158,
   0, 238, 193,  47, 159, 113,  94, 176,  35, 205, 226,  12, 188,  82, 125, 147,
   0, 238, 193,  47, 159, 113,  94, 176,  35, 205, 226,  12, 188,  82, 125, 147,
   0, 254, 225,  31, 223,  33,  62, 192, 163,  93,  66, 188, 124, 130, 157,  99,
   0, 254, 225,  31, 223,  33,  62, 192, 163,  93,  66, 188, 124, 130, 157,  99,
   0, 142,   1, 143,   2, 140,   3, 141,   4, 138,   5, 139,   6, 136,   7, 137,
   0, 142,   1, 143,   2, 140,   3, 141,   4, 138,   5, 139,   6, 136,   7, 137,
   0, 158,  33, 191,  66, 220,  99, 253, 132,  26, 165,  59, 198,  88, 231, 121,
   0, 158,  33, 191,  66, 220,  99, 253, 132,  26, 165,  59, 198,  88, 231, 121,
   0, 174,  65, 239, 130,  44, 195, 109,  25, 183,  88, 246, 155,  53, 218, 116,
   0, 174,  65, 239, 130,  44, 195, 109,  25, 183,  88, 246, 155,  53, 218, 116,
   0, 190,  97, 223, 194, 124, 163,  29, 153,  39, 248,  70,  91, 229,  58, 132,
   0, 190,  97, 223, 194, 124, 163,  29, 153,  39, 248,  70,  91, 229,  58, 132,
   0,  83, 166, 245,  81,   2, 247, 164, 162, 241,   4,  87, 243, 160,  85,   6,
   0,  83, 166, 245,  81,   2, 247, 164, 162, 241,   4,  87, 243, 160,  85,   6,
   0,  67, 134, 197,  17,  82, 151, 212,  34,  97, 164, 231,  51, 112, 181, 246,
   0,  67, 134, 197,  17,  82, 151, 212,  34,  97, 164, 231,  51, 112, 181, 246,
   0, 115, 230, 149, 209, 162,  55,  68, 191, 204,  89,  42, 110,  29, 136, 251,
   0, 115, 230, 149, 209, 162,  55,  68, 191, 204,  89,  42, 110,  29, 136, 251,
   0,  99, 198, 165, 145, 242,  87,  52,  63,  92, 249, 154, 174, 205, 104,  11,
   0,  99, 198, 165, 145, 242,  87,  52,  63,  92, 249, 154, 174, 205, 104,  11,
   0,  19,  38,  53,  76,  95, 106, 121, 152, 139, 190, 173, 212, 199, 242, 225,
   0,  19,  38,  53,  76,  95, 106, 121, 152, 139, 190, 173, 212, 199, 242, 225,
   0,   3,   6,   5,  12,  15,  10,   9,  24,  27,  30,  29,  20,  23,  18,  17,
   0,   3,   6,   5,  12,  15,  10,   9,  24,  27,  30,  29,  20,  23,  18,  17,
   0,  51, 102,  85, 204, 255, 170, 153, 133, 182, 227, 208,  73, 122,  47,  28,
   0,  51, 102,  85, 204, 255, 170, 153, 133, 182, 227, 208,  73, 122,  47,  28,
   0,  35,  70, 101, 140, 175, 202, 233,   5,  38,  67,  96, 137, 170, 207, 236,
   0,  35,  70, 101, 140, 175, 202, 233,   5,  38,  67,  96, 137, 170, 207, 236,
   0, 211, 187, 104, 107, 184, 208,   3, 214,   5, 109, 190, 189, 110,   6, 213,
   0, 211, 187, 104, 107, 184, 208,   3, 214,   5, 109, 190, 189, 110,   6, 213,
   0, 195, 155,  88,  43, 232, 176, 115,  86, 149, 205,  14, 125, 190, 230,  37,
   0, 195, 155,  88,  43, 232, 176, 115,  86, 149, 205,  14, 125, 190, 230,  37,
   0, 243, 251,   8, 235,  24,  16, 227, 203,  56,  48, 195,  32, 211, 219,  40,
   0, 243, 251,   8, 235,  24,  16, 227, 203,  56,  48, 195,  32, 211, 219,  40,
   0, 227, 219,  56, 171,  72, 112, 147,  75, 168, 144, 115, 224,   3,  59, 216,
   0, 227, 219,  56, 171,  72, 112, 147,  75, 168, 144, 115, 224,   3,  59, 216,
   0, 147,  59, 168, 118, 229,  77, 222, 236, 127, 215,  68, 154,   9, 161,  50,
   0, 147,  59, 168, 118, 229,  77, 222, 236, 127, 215,  68, 154,   9, 161,  50,
   0, 131,  27, 152,  54, 181,  45, 174, 108, 239, 119, 244,  90, 217,  65, 194,
   0, 131,  27, 152,  54, 181,  45, 174, 108, 239, 119, 244,  90, 217,  65, 194,
   0, 179, 123, 200, 246,  69, 141,  62, 241,  66, 138,  57,   7, 180, 124, 207,
   0, 179, 123, 200, 246,  69, 141,  62, 241,  66, 138,  57,   7, 180, 124, 207,
   0, 163,  91, 248, 182,  21, 237,  78, 113, 210,  42, 137, 199, 100, 156,  63,
   0, 163,  91, 248, 182,  21, 237,  78, 113, 210,  42, 137, 199, 100, 156,  63,
   0, 232, 205,  37, 135, 111,  74, 162,  19, 251, 222,  54, 148, 124,  89, 177,
   0, 232, 205,  37, 135, 111,  74, 162,  19, 251, 222,  54, 148, 124,  89, 177,
   0, 248, 237,  21, 199,  63,  42, 210, 147, 107, 126, 134,  84, 172, 185,  65,
   0, 248, 237,  21, 199,  63,  42, 210, 147, 107, 126, 134,  84, 172, 185,  65,
   0, 200, 141,  69,   7, 207, 138,  66,  14, 198, 131,  75,   9, 193, 132,  76,
   0, 200, 141,  69,   7, 207, 138,  66,  14, 198, 131,  75,   9, 193, 132,  76,
   0, 216, 173, 117,  71, 159, 234,  50, 142,  86,  35, 251, 201,  17, 100, 188,
   0, 216, 173, 117,  71, 159, 234,  50, 142,  86,  35, 251, 201,  17, 100, 188,
   0, 168,  77, 229, 154,  50, 215, 127,  41, 129, 100, 204, 179,  27, 254,  86,
   0, 168,  77, 229, 154,  50, 215, 127,  41, 129, 100, 204, 179,  27, 254,  86,
   0, 184, 109, 213, 218,  98, 183,  15, 169,  17, 196, 124, 115, 203,  30, 166,
   0, 184, 109, 213, 218,  98, 183,  15, 169,  17, 196, 124, 115, 203,  30, 166,
   0, 136,  13, 133,  26, 146,  23, 159,  52, 188,  57, 177,  46, 166,  35, 171,
   0, 136,  13, 133,  26, 146,  23, 159,  52, 188,  57, 177,  46, 166,  35, 171,
   0, 152,  45, 181,  90, 194, 119, 239, 180,  44, 153,   1, 238, 118, 195,  91,
   0, 152,  45, 181,  90, 194, 119, 239, 180,  44, 153,   1, 238, 118, 195,  91,
   0, 104, 208, 184, 189, 213, 109,   5, 103,  15, 183, 223, 218, 178,  10,  98,
   0, 104, 208, 184, 189, 213, 109,   5, 103,  15, 183, 223, 218, 178,  10,  98,
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   0, 120, 240, 136, 253, 133,  13, 117, 231, 159,  23, 111,  26,  98, 234, 146,
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