quant_common.c 981 KB
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/*
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 * Copyright (c) 2016, Alliance for Open Media. All rights reserved
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 *
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 * This source code is subject to the terms of the BSD 2 Clause License and
 * the Alliance for Open Media Patent License 1.0. If the BSD 2 Clause License
 * was not distributed with this source code in the LICENSE file, you can
 * obtain it at www.aomedia.org/license/software. If the Alliance for Open
 * Media Patent License 1.0 was not distributed with this source code in the
 * PATENTS file, you can obtain it at www.aomedia.org/license/patent.
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 */

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#include "av1/common/common.h"
#include "av1/common/onyxc_int.h"
#include "av1/common/entropy.h"
#include "av1/common/quant_common.h"
#include "av1/common/seg_common.h"
#include "av1/common/blockd.h"
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#if CONFIG_NEW_QUANT
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// Zero-bin widths expressed as a fraction over 128 of the quant stepsize.
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// So a value x indicates the bin is actually factor x/128 of the
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// nominal quantization step. The width is only
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// for one side of zero, so the actual width is twice that.
//
// Functions with nuq correspond to "non uniform quantization"
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// TODO(sarahparker, debargha): Optimize these tables

typedef struct {
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  uint8_t zbin;  // zero-bin width
  uint8_t doff;  // dequantization offset
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} qprofile_type;

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static const qprofile_type nuq[QUANT_PROFILES][2] = {
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  {
      // lossless
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      { 64, 0 },  // dc
      { 64, 0 },  // ac
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  },
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  // dq_type = 1
  {
      // Y/intra, dq_type 1, low quality
      { 66, 12 },  // dc
      { 66, 12 },  // ac
  },
  {
      // Y/intra, dq_type 1, high quality
      { 66, 6 },  // dc
      { 66, 6 },  // ac
  },
  {
      // UV/intra, dq_type 1, low quality
      { 66, 12 },  // dc
      { 66, 12 },  // ac
  },
  {
      // UV/intra, dq_type 1, high quality
      { 66, 6 },  // dc
      { 66, 6 },  // ac
  },
  {
      // Y/inter, dq_type 1, low quality
      { 66, 12 },  // dc
      { 66, 12 },  // ac
  },
  {
      // Y/inter, dq_type 1, high quality
      { 66, 6 },  // dc
      { 66, 6 },  // ac
  },
  {
      // UV/inter, dq_type 1, low quality
      { 66, 12 },  // dc
      { 66, 12 },  // ac
  },
  {
      // UV/inter, dq_type 1, high quality
      { 66, 6 },  // dc
      { 66, 6 },  // ac
  },

  // dq_type = 2
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  {
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      // Y/intra, dq_type 2, low quality
      { 72, 12 },  // dc
      { 72, 12 },  // ac
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  },
  {
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      // Y/intra, dq_type 2, high quality
      { 72, 6 },  // dc
      { 72, 6 },  // ac
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  },
  {
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      // UV/intra, dq_type 2, low quality
      { 72, 12 },  // dc
      { 72, 12 },  // ac
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  },
  {
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      // UV/intra, dq_type 2, high quality
      { 72, 6 },  // dc
      { 72, 6 },  // ac
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  },
  {
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      // Y/inter, dq_type 2, low quality
      { 72, 12 },  // dc
      { 72, 12 },  // ac
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  },
  {
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      // Y/inter, dq_type 2, high quality
      { 72, 6 },  // dc
      { 72, 6 },  // ac
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  },
  {
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      // UV/inter, dq_type 2, low quality
      { 72, 12 },  // dc
      { 72, 12 },  // ac
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  },
  {
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      // UV/inter, dq_type 2, high quality
      { 72, 6 },  // dc
      { 72, 6 },  // ac
  },

  // dq_type = 3
  {
      // Y/intra, dq_type 3, low quality
      { 80, 12 },  // dc
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      { 80, 14 },  // ac
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  },
  {
      // Y/intra, dq_type 3, high quality
      { 82, 6 },  // dc
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      { 82, 8 },  // ac
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  },
  {
      // UV/intra, dq_type 3, low quality
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      { 80, 14 },  // dc
      { 80, 16 },  // ac
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  },
  {
      // UV/intra, dq_type 3, high quality
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      { 82, 8 },   // dc
      { 82, 10 },  // ac
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  },
  {
      // Y/inter, dq_type 3, low quality
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      { 80, 16 },  // dc
      { 80, 18 },  // ac
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  },
  {
      // Y/inter, dq_type 3, high quality
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      { 82, 10 },  // dc
      { 82, 12 },  // ac
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  },
  {
      // UV/inter, dq_type 3, low quality
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      { 80, 18 },  // dc
      { 80, 20 },  // ac
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  },
  {
      // UV/inter, dq_type 3, high quality
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      { 82, 12 },  // dc
      { 82, 14 },  // ac
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  },
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};

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static INLINE uint8_t get_nuq_zbin(int is_ac_coeff, int q_profile) {
  return nuq[q_profile][is_ac_coeff].zbin;
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}
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static INLINE uint8_t quant_to_doff_fixed(int is_ac_coeff, int q_profile) {
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  return nuq[q_profile][is_ac_coeff].doff;
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}

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// get zero bin width
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static INLINE void get_cuml_bins_nuq(int q, int is_ac_coeff,
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                                     tran_low_t *zbin_width, int q_profile) {
  const uint8_t zbin = get_nuq_zbin(is_ac_coeff, q_profile);
  zbin_width[0] = ROUND_POWER_OF_TWO(zbin * q, 7);
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}

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void av1_get_dequant_val_nuq(int q, int is_ac_coeff, tran_low_t *dq,
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                             tran_low_t *cuml_bins, int q_profile) {
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  tran_low_t cuml_bins_[NUQ_KNOTS], *cuml_bins_ptr;
  tran_low_t doff;
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  // Get the quantization boundary for the zero bin
  const uint8_t zbin = get_nuq_zbin(is_ac_coeff, q_profile);
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  cuml_bins_ptr = (cuml_bins ? cuml_bins : cuml_bins_);
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  get_cuml_bins_nuq(q, is_ac_coeff, cuml_bins_ptr, q_profile);
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  // Get the dequantization offset that will be applied to all non-zero bins.
  // This is computed as: ((x0 - 64 - d) / 128) * Q
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  doff = quant_to_doff_fixed(is_ac_coeff, q_profile);
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  dq[0] = ROUND_POWER_OF_TWO((zbin - 64 - doff) * q, 7);
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  dq[1] = ROUND_POWER_OF_TWO((zbin - 64 - doff) * q, 8);
  dq[2] = ROUND_POWER_OF_TWO((zbin - 64 - doff) * q, 9);
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}

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tran_low_t av1_dequant_abscoeff_nuq(int v, int q, const tran_low_t *dq,
                                    int shift) {
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  if (v == 0) return 0;
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  return ((q * v) >> shift) + dq[shift];
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}

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tran_low_t av1_dequant_coeff_nuq(int v, int q, const tran_low_t *dq,
                                 int shift) {
  tran_low_t dqmag = av1_dequant_abscoeff_nuq(abs(v), q, dq, shift);
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  return (v < 0 ? -dqmag : dqmag);
}
#endif  // CONFIG_NEW_QUANT

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static const int16_t dc_qlookup_Q3[QINDEX_RANGE] = {
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  4,    8,    8,    9,    10,  11,  12,  12,  13,  14,  15,   16,   17,   18,
  19,   19,   20,   21,   22,  23,  24,  25,  26,  26,  27,   28,   29,   30,
  31,   32,   32,   33,   34,  35,  36,  37,  38,  38,  39,   40,   41,   42,
  43,   43,   44,   45,   46,  47,  48,  48,  49,  50,  51,   52,   53,   53,
  54,   55,   56,   57,   57,  58,  59,  60,  61,  62,  62,   63,   64,   65,
  66,   66,   67,   68,   69,  70,  70,  71,  72,  73,  74,   74,   75,   76,
  77,   78,   78,   79,   80,  81,  81,  82,  83,  84,  85,   85,   87,   88,
  90,   92,   93,   95,   96,  98,  99,  101, 102, 104, 105,  107,  108,  110,
  111,  113,  114,  116,  117, 118, 120, 121, 123, 125, 127,  129,  131,  134,
  136,  138,  140,  142,  144, 146, 148, 150, 152, 154, 156,  158,  161,  164,
  166,  169,  172,  174,  177, 180, 182, 185, 187, 190, 192,  195,  199,  202,
  205,  208,  211,  214,  217, 220, 223, 226, 230, 233, 237,  240,  243,  247,
  250,  253,  257,  261,  265, 269, 272, 276, 280, 284, 288,  292,  296,  300,
  304,  309,  313,  317,  322, 326, 330, 335, 340, 344, 349,  354,  359,  364,
  369,  374,  379,  384,  389, 395, 400, 406, 411, 417, 423,  429,  435,  441,
  447,  454,  461,  467,  475, 482, 489, 497, 505, 513, 522,  530,  539,  549,
  559,  569,  579,  590,  602, 614, 626, 640, 654, 668, 684,  700,  717,  736,
  755,  775,  796,  819,  843, 869, 896, 925, 955, 988, 1022, 1058, 1098, 1139,
  1184, 1232, 1282, 1336,
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};

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static const int16_t dc_qlookup_10_Q3[QINDEX_RANGE] = {
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  4,    9,    10,   13,   15,   17,   20,   22,   25,   28,   31,   34,   37,
  40,   43,   47,   50,   53,   57,   60,   64,   68,   71,   75,   78,   82,
  86,   90,   93,   97,   101,  105,  109,  113,  116,  120,  124,  128,  132,
  136,  140,  143,  147,  151,  155,  159,  163,  166,  170,  174,  178,  182,
  185,  189,  193,  197,  200,  204,  208,  212,  215,  219,  223,  226,  230,
  233,  237,  241,  244,  248,  251,  255,  259,  262,  266,  269,  273,  276,
  280,  283,  287,  290,  293,  297,  300,  304,  307,  310,  314,  317,  321,
  324,  327,  331,  334,  337,  343,  350,  356,  362,  369,  375,  381,  387,
  394,  400,  406,  412,  418,  424,  430,  436,  442,  448,  454,  460,  466,
  472,  478,  484,  490,  499,  507,  516,  525,  533,  542,  550,  559,  567,
  576,  584,  592,  601,  609,  617,  625,  634,  644,  655,  666,  676,  687,
  698,  708,  718,  729,  739,  749,  759,  770,  782,  795,  807,  819,  831,
  844,  856,  868,  880,  891,  906,  920,  933,  947,  961,  975,  988,  1001,
  1015, 1030, 1045, 1061, 1076, 1090, 1105, 1120, 1137, 1153, 1170, 1186, 1202,
  1218, 1236, 1253, 1271, 1288, 1306, 1323, 1342, 1361, 1379, 1398, 1416, 1436,
  1456, 1476, 1496, 1516, 1537, 1559, 1580, 1601, 1624, 1647, 1670, 1692, 1717,
  1741, 1766, 1791, 1817, 1844, 1871, 1900, 1929, 1958, 1990, 2021, 2054, 2088,
  2123, 2159, 2197, 2236, 2276, 2319, 2363, 2410, 2458, 2508, 2561, 2616, 2675,
  2737, 2802, 2871, 2944, 3020, 3102, 3188, 3280, 3375, 3478, 3586, 3702, 3823,
  3953, 4089, 4236, 4394, 4559, 4737, 4929, 5130, 5347,
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};

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static const int16_t dc_qlookup_12_Q3[QINDEX_RANGE] = {
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  4,     12,    18,    25,    33,    41,    50,    60,    70,    80,    91,
  103,   115,   127,   140,   153,   166,   180,   194,   208,   222,   237,
  251,   266,   281,   296,   312,   327,   343,   358,   374,   390,   405,
  421,   437,   453,   469,   484,   500,   516,   532,   548,   564,   580,
  596,   611,   627,   643,   659,   674,   690,   706,   721,   737,   752,
  768,   783,   798,   814,   829,   844,   859,   874,   889,   904,   919,
  934,   949,   964,   978,   993,   1008,  1022,  1037,  1051,  1065,  1080,
  1094,  1108,  1122,  1136,  1151,  1165,  1179,  1192,  1206,  1220,  1234,
  1248,  1261,  1275,  1288,  1302,  1315,  1329,  1342,  1368,  1393,  1419,
  1444,  1469,  1494,  1519,  1544,  1569,  1594,  1618,  1643,  1668,  1692,
  1717,  1741,  1765,  1789,  1814,  1838,  1862,  1885,  1909,  1933,  1957,
  1992,  2027,  2061,  2096,  2130,  2165,  2199,  2233,  2267,  2300,  2334,
  2367,  2400,  2434,  2467,  2499,  2532,  2575,  2618,  2661,  2704,  2746,
  2788,  2830,  2872,  2913,  2954,  2995,  3036,  3076,  3127,  3177,  3226,
  3275,  3324,  3373,  3421,  3469,  3517,  3565,  3621,  3677,  3733,  3788,
  3843,  3897,  3951,  4005,  4058,  4119,  4181,  4241,  4301,  4361,  4420,
  4479,  4546,  4612,  4677,  4742,  4807,  4871,  4942,  5013,  5083,  5153,
  5222,  5291,  5367,  5442,  5517,  5591,  5665,  5745,  5825,  5905,  5984,
  6063,  6149,  6234,  6319,  6404,  6495,  6587,  6678,  6769,  6867,  6966,
  7064,  7163,  7269,  7376,  7483,  7599,  7715,  7832,  7958,  8085,  8214,
  8352,  8492,  8635,  8788,  8945,  9104,  9275,  9450,  9639,  9832,  10031,
  10245, 10465, 10702, 10946, 11210, 11482, 11776, 12081, 12409, 12750, 13118,
  13501, 13913, 14343, 14807, 15290, 15812, 16356, 16943, 17575, 18237, 18949,
  19718, 20521, 21387,
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};

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static const int16_t ac_qlookup_Q3[QINDEX_RANGE] = {
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  4,    8,    9,    10,   11,   12,   13,   14,   15,   16,   17,   18,   19,
  20,   21,   22,   23,   24,   25,   26,   27,   28,   29,   30,   31,   32,
  33,   34,   35,   36,   37,   38,   39,   40,   41,   42,   43,   44,   45,
  46,   47,   48,   49,   50,   51,   52,   53,   54,   55,   56,   57,   58,
  59,   60,   61,   62,   63,   64,   65,   66,   67,   68,   69,   70,   71,
  72,   73,   74,   75,   76,   77,   78,   79,   80,   81,   82,   83,   84,
  85,   86,   87,   88,   89,   90,   91,   92,   93,   94,   95,   96,   97,
  98,   99,   100,  101,  102,  104,  106,  108,  110,  112,  114,  116,  118,
  120,  122,  124,  126,  128,  130,  132,  134,  136,  138,  140,  142,  144,
  146,  148,  150,  152,  155,  158,  161,  164,  167,  170,  173,  176,  179,
  182,  185,  188,  191,  194,  197,  200,  203,  207,  211,  215,  219,  223,
  227,  231,  235,  239,  243,  247,  251,  255,  260,  265,  270,  275,  280,
  285,  290,  295,  300,  305,  311,  317,  323,  329,  335,  341,  347,  353,
  359,  366,  373,  380,  387,  394,  401,  408,  416,  424,  432,  440,  448,
  456,  465,  474,  483,  492,  501,  510,  520,  530,  540,  550,  560,  571,
  582,  593,  604,  615,  627,  639,  651,  663,  676,  689,  702,  715,  729,
  743,  757,  771,  786,  801,  816,  832,  848,  864,  881,  898,  915,  933,
  951,  969,  988,  1007, 1026, 1046, 1066, 1087, 1108, 1129, 1151, 1173, 1196,
  1219, 1243, 1267, 1292, 1317, 1343, 1369, 1396, 1423, 1451, 1479, 1508, 1537,
  1567, 1597, 1628, 1660, 1692, 1725, 1759, 1793, 1828,
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};

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static const int16_t ac_qlookup_10_Q3[QINDEX_RANGE] = {
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  4,    9,    11,   13,   16,   18,   21,   24,   27,   30,   33,   37,   40,
  44,   48,   51,   55,   59,   63,   67,   71,   75,   79,   83,   88,   92,
  96,   100,  105,  109,  114,  118,  122,  127,  131,  136,  140,  145,  149,
  154,  158,  163,  168,  172,  177,  181,  186,  190,  195,  199,  204,  208,
  213,  217,  222,  226,  231,  235,  240,  244,  249,  253,  258,  262,  267,
  271,  275,  280,  284,  289,  293,  297,  302,  306,  311,  315,  319,  324,
  328,  332,  337,  341,  345,  349,  354,  358,  362,  367,  371,  375,  379,
  384,  388,  392,  396,  401,  409,  417,  425,  433,  441,  449,  458,  466,
  474,  482,  490,  498,  506,  514,  523,  531,  539,  547,  555,  563,  571,
  579,  588,  596,  604,  616,  628,  640,  652,  664,  676,  688,  700,  713,
  725,  737,  749,  761,  773,  785,  797,  809,  825,  841,  857,  873,  889,
  905,  922,  938,  954,  970,  986,  1002, 1018, 1038, 1058, 1078, 1098, 1118,
  1138, 1158, 1178, 1198, 1218, 1242, 1266, 1290, 1314, 1338, 1362, 1386, 1411,
  1435, 1463, 1491, 1519, 1547, 1575, 1603, 1631, 1663, 1695, 1727, 1759, 1791,
  1823, 1859, 1895, 1931, 1967, 2003, 2039, 2079, 2119, 2159, 2199, 2239, 2283,
  2327, 2371, 2415, 2459, 2507, 2555, 2603, 2651, 2703, 2755, 2807, 2859, 2915,
  2971, 3027, 3083, 3143, 3203, 3263, 3327, 3391, 3455, 3523, 3591, 3659, 3731,
  3803, 3876, 3952, 4028, 4104, 4184, 4264, 4348, 4432, 4516, 4604, 4692, 4784,
  4876, 4972, 5068, 5168, 5268, 5372, 5476, 5584, 5692, 5804, 5916, 6032, 6148,
  6268, 6388, 6512, 6640, 6768, 6900, 7036, 7172, 7312,
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};

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static const int16_t ac_qlookup_12_Q3[QINDEX_RANGE] = {
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  4,     13,    19,    27,    35,    44,    54,    64,    75,    87,    99,
  112,   126,   139,   154,   168,   183,   199,   214,   230,   247,   263,
  280,   297,   314,   331,   349,   366,   384,   402,   420,   438,   456,
  475,   493,   511,   530,   548,   567,   586,   604,   623,   642,   660,
  679,   698,   716,   735,   753,   772,   791,   809,   828,   846,   865,
  884,   902,   920,   939,   957,   976,   994,   1012,  1030,  1049,  1067,
  1085,  1103,  1121,  1139,  1157,  1175,  1193,  1211,  1229,  1246,  1264,
  1282,  1299,  1317,  1335,  1352,  1370,  1387,  1405,  1422,  1440,  1457,
  1474,  1491,  1509,  1526,  1543,  1560,  1577,  1595,  1627,  1660,  1693,
  1725,  1758,  1791,  1824,  1856,  1889,  1922,  1954,  1987,  2020,  2052,
  2085,  2118,  2150,  2183,  2216,  2248,  2281,  2313,  2346,  2378,  2411,
  2459,  2508,  2556,  2605,  2653,  2701,  2750,  2798,  2847,  2895,  2943,
  2992,  3040,  3088,  3137,  3185,  3234,  3298,  3362,  3426,  3491,  3555,
  3619,  3684,  3748,  3812,  3876,  3941,  4005,  4069,  4149,  4230,  4310,
  4390,  4470,  4550,  4631,  4711,  4791,  4871,  4967,  5064,  5160,  5256,
  5352,  5448,  5544,  5641,  5737,  5849,  5961,  6073,  6185,  6297,  6410,
  6522,  6650,  6778,  6906,  7034,  7162,  7290,  7435,  7579,  7723,  7867,
  8011,  8155,  8315,  8475,  8635,  8795,  8956,  9132,  9308,  9484,  9660,
  9836,  10028, 10220, 10412, 10604, 10812, 11020, 11228, 11437, 11661, 11885,
  12109, 12333, 12573, 12813, 13053, 13309, 13565, 13821, 14093, 14365, 14637,
  14925, 15213, 15502, 15806, 16110, 16414, 16734, 17054, 17390, 17726, 18062,
  18414, 18766, 19134, 19502, 19886, 20270, 20670, 21070, 21486, 21902, 22334,
  22766, 23214, 23662, 24126, 24590, 25070, 25551, 26047, 26559, 27071, 27599,
  28143, 28687, 29247,
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};

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#if !CONFIG_DAALA_TX

// Coefficient scaling and quantization with AV1 TX are tailored to
// the AV1 TX transforms.  Regardless of the bit-depth of the input,
// the transform stages scale the coefficient values up by a factor of
// 8 (3 bits) over the scale of the pixel values.  Thus, for 8-bit
// input, the coefficients have effectively 11 bits of scale depth
// (8+3), 10-bit input pixels result in 13-bit coefficient depth
// (10+3) and 12-bit pixels yield 15-bit (12+3) coefficient depth.
// All quantizers are built using this invariant of x8, 3-bit scaling,
// thus the Q3 suffix.

// A partial exception to this rule is large transforms; to avoid
// overflow, TX blocks with > 256 pels (>16x16) are scaled only
// 4-times unity (2 bits) over the pixel depth, and TX blocks with
// over 1024 pixels (>32x32) are scaled up only 2x unity (1 bit).
// This descaling is found via av1_tx_get_scale().  Thus, 16x32, 32x16
// and 32x32 transforms actually return Q2 coefficients, and 32x64,
// 64x32 and 64x64 transforms return Q1 coefficients.  However, the
// quantizers are de-scaled down on-the-fly by the same amount
// (av1_tx_get_scale()) during quantization, and as such the
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// dequantized/decoded coefficients, even for large TX blocks, are always
// effectively Q3. Meanwhile, quantized/coded coefficients are Q0
// because Qn quantizers are applied to Qn tx coefficients.
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// Note that encoder decision making (which uses the quantizer to
// generate several bespoke lamdas for RDO and other heuristics)
// expects quantizers to be larger for higher-bitdepth input.  In
// addition, the minimum allowable quantizer is 4; smaller values will
// underflow to 0 in the actual quantization routines.

int16_t av1_dc_quant_Q3(int qindex, int delta, aom_bit_depth_t bit_depth) {
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  switch (bit_depth) {
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    case AOM_BITS_8: return dc_qlookup_Q3[clamp(qindex + delta, 0, MAXQ)];
    case AOM_BITS_10: return dc_qlookup_10_Q3[clamp(qindex + delta, 0, MAXQ)];
    case AOM_BITS_12: return dc_qlookup_12_Q3[clamp(qindex + delta, 0, MAXQ)];
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    default:
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      assert(0 && "bit_depth should be AOM_BITS_8, AOM_BITS_10 or AOM_BITS_12");
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      return -1;
  }
}

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int16_t av1_ac_quant_Q3(int qindex, int delta, aom_bit_depth_t bit_depth) {
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  switch (bit_depth) {
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    case AOM_BITS_8: return ac_qlookup_Q3[clamp(qindex + delta, 0, MAXQ)];
    case AOM_BITS_10: return ac_qlookup_10_Q3[clamp(qindex + delta, 0, MAXQ)];
    case AOM_BITS_12: return ac_qlookup_12_Q3[clamp(qindex + delta, 0, MAXQ)];
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    default:
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      assert(0 && "bit_depth should be AOM_BITS_8, AOM_BITS_10 or AOM_BITS_12");
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      return -1;
  }
}

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// In AV1 TX, the coefficients are always scaled up a factor of 8 (3
// bits), so QTX == Q3.

int16_t av1_dc_quant_QTX(int qindex, int delta, aom_bit_depth_t bit_depth) {
  return av1_dc_quant_Q3(qindex, delta, bit_depth);
}

int16_t av1_ac_quant_QTX(int qindex, int delta, aom_bit_depth_t bit_depth) {
  return av1_ac_quant_Q3(qindex, delta, bit_depth);
}

int16_t av1_qindex_from_ac_Q3(int ac_Q3, aom_bit_depth_t bit_depth) {
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  int i;
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  const int16_t *tab = ac_qlookup_Q3;
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  switch (bit_depth) {
    case AOM_BITS_10: {
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      tab = ac_qlookup_10_Q3;
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      break;
    }
    case AOM_BITS_12: {
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      tab = ac_qlookup_12_Q3;
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      break;
    }
    default:
      assert(0 && "bit_depth should be AOM_BITS_8, AOM_BITS_10 or AOM_BITS_12");
      return -1;
  }
  (void)bit_depth;
  for (i = 0; i < QINDEX_RANGE; i++) {
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    if (ac_Q3 <= tab[i]) return i;
  }
  return QINDEX_RANGE - 1;
}

#else   // CONFIG_DAALA_TX

// Daala TX uses a constant effective coefficient depth
// (TX_COEFF_DEPTH) regardless of input pixel bitdepth or transform
// size. This means that coefficient scale and range is identical
// regardless of the bit depth of the pixel input.  However, the
// existing encoder heuristics and RDO loop were built expecting a
// quantizer that scales with bitdepth, treating it more as a
// proto-lambda than a quantizer.  The assumption that quantizer scale
// increases with bitdepth is spread throughout the encoder.

// For this reason, we need to be able to find an old-style 'Q3'
// quantizer that scales with pixel depth (to be used in encoder
// decision making) as well as the literal quantizer that is used in
// actual quantization/dequantization.  That is centralized here.

// Right now, the existing quantization code and setup are not
// particularly well suited to Daala TX.  The scale range used by, eg,
// the 12 bit lookups is intentionally larger in order to provide more
// fine control at the top end of the quality range, as 12-bit input
// would be assumed to offer a lower noise floor than an 8-bit input.
// However, the 12-bit lookups assume an effective 15-bit TX depth,
// while we intend to run Daala TX somewhere between 12 and 14.  We
// can't simply scale it down, because this would violate the minimum
// allowable quantizer in the current code (4).

// As such, we do the simplest thing for the time being: Always use
// the 8-bit scale range for all inputs and scale the QTX and Q3
// returns accordingly, which will always be no-ops or upshifts.  This
// might well work well enough; if not, we'll need to patch quantizer
// scaling to extend the high-bitdepth quality range upward at some
// later date.

int16_t av1_dc_quant_Q3(int qindex, int delta, aom_bit_depth_t bit_depth) {
  assert(bit_depth >= 8);
  return qindex == 0 ? dc_qlookup_Q3[0]
                     :  // Do not scale lossless
             dc_qlookup_Q3[clamp(qindex + delta, 0, MAXQ)] *
                 (1 << (bit_depth - 8));
}

int16_t av1_ac_quant_Q3(int qindex, int delta, aom_bit_depth_t bit_depth) {
  assert(bit_depth >= 8);
  return qindex == 0 ? ac_qlookup_Q3[0]
                     :  // Do not scale lossless
             ac_qlookup_Q3[clamp(qindex + delta, 0, MAXQ)] *
                 (1 << (bit_depth - 8));
}

int16_t av1_dc_quant_QTX(int qindex, int delta, aom_bit_depth_t bit_depth) {
  (void)bit_depth;
  return qindex == 0 ? dc_qlookup_Q3[0]
                     :  // Do not scale lossless
             dc_qlookup_Q3[clamp(qindex + delta, 0, MAXQ)] *
                 (1 << (TX_COEFF_DEPTH - 11));
}

int16_t av1_ac_quant_QTX(int qindex, int delta, aom_bit_depth_t bit_depth) {
  (void)bit_depth;
  return qindex == 0 ? ac_qlookup_Q3[0]
                     :  // Do not scale lossless
             ac_qlookup_Q3[clamp(qindex + delta, 0, MAXQ)] *
                 (1 << (TX_COEFF_DEPTH - 11));
}

int16_t av1_qindex_from_ac_Q3(int ac_QTX, aom_bit_depth_t bit_depth) {
  int i;
  const int16_t *tab = ac_qlookup_Q3;
  int scale = (1 << (TX_COEFF_DEPTH - 11));
  (void)bit_depth;
  for (i = 0; i < QINDEX_RANGE; i++) {
    if (ac_QTX <= tab[i] * scale) return i;
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  }
  return QINDEX_RANGE - 1;
}
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#endif  // !CONFIG_DAALA_TX
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int av1_get_qindex(const struct segmentation *seg, int segment_id,
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                   int base_qindex) {
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  if (segfeature_active(seg, segment_id, SEG_LVL_ALT_Q)) {
    const int data = get_segdata(seg, segment_id, SEG_LVL_ALT_Q);
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    const int seg_qindex = base_qindex + data;
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    return clamp(seg_qindex, 0, MAXQ);
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  } else {
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    return base_qindex;
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  }
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}
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#if CONFIG_AOM_QM
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const qm_val_t *aom_iqmatrix(AV1_COMMON *cm, int qmlevel, int plane,
                             TX_SIZE tx_size) {
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  return &cm->giqmatrix[qmlevel][plane][tx_size][0];
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}
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const qm_val_t *aom_qmatrix(AV1_COMMON *cm, int qmlevel, int plane,
                            TX_SIZE tx_size) {
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  return &cm->gqmatrix[qmlevel][plane][tx_size][0];
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}

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#define QM_TOTAL_SIZE 3344
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static const uint16_t wt_matrix_ref[NUM_QM_LEVELS][2][QM_TOTAL_SIZE];
static const uint16_t iwt_matrix_ref[NUM_QM_LEVELS][2][QM_TOTAL_SIZE];
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void aom_qm_init(AV1_COMMON *cm) {
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  int q, c, t;
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  int current;
  for (q = 0; q < NUM_QM_LEVELS; ++q) {
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    for (c = 0; c < av1_num_planes(cm); ++c) {
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      current = 0;
      for (t = 0; t < TX_SIZES_ALL; ++t) {
        const int size = tx_size_2d[t];
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        const int qm_tx_size = av1_get_adjusted_tx_size(t);
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        if (q == NUM_QM_LEVELS - 1) {
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          cm->gqmatrix[q][c][t] = NULL;
          cm->giqmatrix[q][c][t] = NULL;
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        } else if (t != qm_tx_size) {  // Reuse matrices for 'qm_tx_size'
          cm->gqmatrix[q][c][t] = cm->gqmatrix[q][c][qm_tx_size];
          cm->giqmatrix[q][c][t] = cm->giqmatrix[q][c][qm_tx_size];
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        } else {
          assert(current + size <= QM_TOTAL_SIZE);
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          cm->gqmatrix[q][c][t] = &wt_matrix_ref[q][c >= 1][current];
          cm->giqmatrix[q][c][t] = &iwt_matrix_ref[q][c >= 1][current];
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          current += size;
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        }
      }
    }
  }
}

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/* Provide 16 sets of quantization matrices for chroma and luma
   and each TX size. Matrices for different TX sizes are in fact
   sub-sampled from the 32x32 and 16x16 sizes, but explicitly
   defined here for convenience. Intra and inter matrix sets are the
   same but changing DEFAULT_QM_INTER_OFFSET from zero allows
   for different matrices for inter and intra blocks in the same
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   frame.
   Matrices for different QM levels have been rescaled in the
   frequency domain according to different nominal viewing
   distances.
 */
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static const uint16_t iwt_matrix_ref[NUM_QM_LEVELS][2][QM_TOTAL_SIZE] = {
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  {
      { /* Luma */
        /* Size 4x4 */
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        32, 43, 73, 97, 43, 67, 94, 110, 73, 94, 137, 150, 97, 110, 150, 200,
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        /* Size 8x8 */
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        32, 32, 38, 51, 68, 84, 95, 109, 32, 35, 40, 49, 63, 76, 89, 102, 38,
        40, 54, 65, 78, 91, 98, 106, 51, 49, 65, 82, 97, 111, 113, 121, 68, 63,
        78, 97, 117, 134, 138, 142, 84, 76, 91, 111, 134, 152, 159, 168, 95, 89,
        98, 113, 138, 159, 183, 199, 109, 102, 106, 121, 142, 168, 199, 220,
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        /* Size 16x16 */
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        32, 31, 31, 34, 36, 44, 48, 59, 65, 80, 83, 91, 97, 104, 111, 119, 31,
        32, 32, 33, 34, 41, 44, 54, 59, 72, 75, 83, 90, 97, 104, 112, 31, 32,
        33, 35, 36, 42, 45, 54, 59, 71, 74, 81, 86, 93, 100, 107, 34, 33, 35,
        39, 42, 47, 51, 58, 63, 74, 76, 81, 84, 90, 97, 105, 36, 34, 36, 42, 48,
        54, 57, 64, 68, 79, 81, 88, 91, 96, 102, 105, 44, 41, 42, 47, 54, 63,
        67, 75, 79, 90, 92, 95, 100, 102, 109, 112, 48, 44, 45, 51, 57, 67, 71,
        80, 85, 96, 99, 107, 108, 111, 117, 120, 59, 54, 54, 58, 64, 75, 80, 92,
        98, 110, 113, 115, 116, 122, 125, 130, 65, 59, 59, 63, 68, 79, 85, 98,
        105, 118, 121, 127, 130, 134, 135, 140, 80, 72, 71, 74, 79, 90, 96, 110,
        118, 134, 137, 140, 143, 144, 146, 152, 83, 75, 74, 76, 81, 92, 99, 113,
        121, 137, 140, 151, 152, 155, 158, 165, 91, 83, 81, 81, 88, 95, 107,
        115, 127, 140, 151, 159, 166, 169, 173, 179, 97, 90, 86, 84, 91, 100,
        108, 116, 130, 143, 152, 166, 174, 182, 189, 193, 104, 97, 93, 90, 96,
        102, 111, 122, 134, 144, 155, 169, 182, 191, 200, 210, 111, 104, 100,
        97, 102, 109, 117, 125, 135, 146, 158, 173, 189, 200, 210, 220, 119,
        112, 107, 105, 105, 112, 120, 130, 140, 152, 165, 179, 193, 210, 220,
        231,
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        /* Size 32x32 */
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        32, 31, 31, 31, 31, 32, 34, 35, 36, 39, 44, 46, 48, 54, 59, 62, 65, 71,
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        80, 81, 83, 88, 91, 94, 97, 101, 104, 107, 111, 115, 119, 123, 31, 32,
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        32, 32, 32, 32, 34, 34, 35, 38, 42, 44, 46, 51, 56, 59, 62, 68, 76, 77,
615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676
        78, 84, 86, 89, 92, 95, 99, 102, 105, 109, 113, 116, 31, 32, 32, 32, 32,
        32, 33, 34, 34, 37, 41, 42, 44, 49, 54, 56, 59, 65, 72, 73, 75, 80, 83,
        86, 90, 93, 97, 101, 104, 108, 112, 116, 31, 32, 32, 32, 33, 33, 34, 35,
        35, 38, 41, 43, 45, 49, 54, 56, 59, 64, 72, 73, 74, 79, 82, 85, 88, 91,
        94, 97, 101, 104, 107, 111, 31, 32, 32, 33, 33, 34, 35, 36, 36, 39, 42,
        44, 45, 50, 54, 56, 59, 64, 71, 72, 74, 78, 81, 84, 86, 89, 93, 96, 100,
        104, 107, 111, 32, 32, 32, 33, 34, 35, 37, 37, 38, 40, 42, 44, 46, 49,
        53, 55, 58, 63, 69, 70, 72, 76, 79, 82, 85, 89, 93, 96, 99, 102, 106,
        109, 34, 34, 33, 34, 35, 37, 39, 41, 42, 45, 47, 49, 51, 54, 58, 60, 63,
        68, 74, 75, 76, 80, 81, 82, 84, 87, 90, 93, 97, 101, 105, 110, 35, 34,
        34, 35, 36, 37, 41, 43, 45, 47, 50, 52, 53, 57, 61, 63, 65, 70, 76, 77,
        79, 82, 84, 86, 89, 91, 92, 93, 96, 100, 103, 107, 36, 35, 34, 35, 36,
        38, 42, 45, 48, 50, 54, 55, 57, 60, 64, 66, 68, 73, 79, 80, 81, 85, 88,
        90, 91, 93, 96, 99, 102, 103, 105, 107, 39, 38, 37, 38, 39, 40, 45, 47,
        50, 54, 58, 59, 61, 65, 69, 71, 73, 78, 84, 85, 86, 91, 92, 92, 95, 98,
        100, 101, 103, 106, 110, 114, 44, 42, 41, 41, 42, 42, 47, 50, 54, 58,
        63, 65, 67, 71, 75, 77, 79, 84, 90, 91, 92, 95, 95, 97, 100, 101, 102,
        105, 109, 111, 112, 114, 46, 44, 42, 43, 44, 44, 49, 52, 55, 59, 65, 67,
        69, 74, 78, 80, 82, 87, 93, 94, 95, 98, 100, 103, 102, 105, 108, 110,
        111, 113, 117, 121, 48, 46, 44, 45, 45, 46, 51, 53, 57, 61, 67, 69, 71,
        76, 80, 83, 85, 90, 96, 97, 99, 103, 107, 105, 108, 111, 111, 113, 117,
        119, 120, 122, 54, 51, 49, 49, 50, 49, 54, 57, 60, 65, 71, 74, 76, 82,
        87, 89, 92, 97, 104, 105, 106, 111, 110, 111, 114, 113, 116, 120, 120,
        121, 125, 130, 59, 56, 54, 54, 54, 53, 58, 61, 64, 69, 75, 78, 80, 87,
        92, 95, 98, 103, 110, 111, 113, 115, 115, 119, 116, 120, 122, 122, 125,
        129, 130, 130, 62, 59, 56, 56, 56, 55, 60, 63, 66, 71, 77, 80, 83, 89,
        95, 98, 101, 107, 114, 115, 117, 119, 123, 121, 125, 126, 125, 129, 131,
        131, 135, 140, 65, 62, 59, 59, 59, 58, 63, 65, 68, 73, 79, 82, 85, 92,
        98, 101, 105, 111, 118, 119, 121, 126, 127, 128, 130, 130, 134, 133,
        135, 140, 140, 140, 71, 68, 65, 64, 64, 63, 68, 70, 73, 78, 84, 87, 90,
        97, 103, 107, 111, 117, 125, 126, 128, 134, 132, 136, 133, 138, 137,
        140, 143, 142, 145, 150, 80, 76, 72, 72, 71, 69, 74, 76, 79, 84, 90, 93,
        96, 104, 110, 114, 118, 125, 134, 135, 137, 139, 140, 139, 143, 142,
        144, 146, 146, 151, 152, 151, 81, 77, 73, 73, 72, 70, 75, 77, 80, 85,
        91, 94, 97, 105, 111, 115, 119, 126, 135, 137, 138, 144, 147, 146, 148,
        149, 151, 150, 156, 155, 157, 163, 83, 78, 75, 74, 74, 72, 76, 79, 81,
        86, 92, 95, 99, 106, 113, 117, 121, 128, 137, 138, 140, 147, 151, 156,
        152, 157, 155, 161, 158, 162, 165, 164, 88, 84, 80, 79, 78, 76, 80, 82,
        85, 91, 95, 98, 103, 111, 115, 119, 126, 134, 139, 144, 147, 152, 154,
        158, 163, 159, 165, 163, 168, 168, 169, 176, 91, 86, 83, 82, 81, 79, 81,
        84, 88, 92, 95, 100, 107, 110, 115, 123, 127, 132, 140, 147, 151, 154,
        159, 161, 166, 171, 169, 173, 173, 176, 179, 177, 94, 89, 86, 85, 84,
        82, 82, 86, 90, 92, 97, 103, 105, 111, 119, 121, 128, 136, 139, 146,
        156, 158, 161, 166, 168, 174, 179, 178, 180, 183, 183, 190, 97, 92, 90,
        88, 86, 85, 84, 89, 91, 95, 100, 102, 108, 114, 116, 125, 130, 133, 143,
        148, 152, 163, 166, 168, 174, 176, 182, 187, 189, 188, 193, 191, 101,
        95, 93, 91, 89, 89, 87, 91, 93, 98, 101, 105, 111, 113, 120, 126, 130,
        138, 142, 149, 157, 159, 171, 174, 176, 183, 184, 191, 195, 199, 197,
        204, 104, 99, 97, 94, 93, 93, 90, 92, 96, 100, 102, 108, 111, 116, 122,
        125, 134, 137, 144, 151, 155, 165, 169, 179, 182, 184, 191, 193, 200,
        204, 210, 206, 107, 102, 101, 97, 96, 96, 93, 93, 99, 101, 105, 110,
        113, 120, 122, 129, 133, 140, 146, 150, 161, 163, 173, 178, 187, 191,
        193, 200, 202, 210, 214, 222, 111, 105, 104, 101, 100, 99, 97, 96, 102,
        103, 109, 111, 117, 120, 125, 131, 135, 143, 146, 156, 158, 168, 173,
        180, 189, 195, 200, 202, 210, 212, 220, 224, 115, 109, 108, 104, 104,
        102, 101, 100, 103, 106, 111, 113, 119, 121, 129, 131, 140, 142, 151,
        155, 162, 168, 176, 183, 188, 199, 204, 210, 212, 220, 222, 230, 119,
        113, 112, 107, 107, 106, 105, 103, 105, 110, 112, 117, 120, 125, 130,
        135, 140, 145, 152, 157, 165, 169, 179, 183, 193, 197, 210, 214, 220,
        222, 231, 232, 123, 116, 116, 111, 111, 109, 110, 107, 107, 114, 114,
        121, 122, 130, 130, 140, 140, 150, 151, 163, 164, 176, 177, 190, 191,
        204, 206, 222, 224, 230, 232, 242,
677
        /* Size 4x8 */
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        32, 42, 75, 91, 33, 42, 69, 86, 37, 58, 84, 91, 49, 71, 103, 110, 65,
        84, 125, 128, 80, 97, 142, 152, 91, 100, 145, 178, 104, 112, 146, 190,
680
        /* Size 8x4 */
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        32, 33, 37, 49, 65, 80, 91, 104, 42, 42, 58, 71, 84, 97, 100, 112, 75,
        69, 84, 103, 125, 142, 145, 146, 91, 86, 91, 110, 128, 152, 178, 190,
683
        /* Size 8x16 */
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        32, 32, 36, 53, 65, 87, 93, 99, 31, 33, 34, 49, 59, 78, 86, 93, 32, 34,
        36, 50, 59, 77, 82, 89, 34, 37, 42, 54, 63, 79, 80, 88, 36, 38, 48, 60,
        68, 84, 86, 90, 44, 43, 53, 71, 79, 95, 94, 97, 48, 46, 56, 76, 85, 102,
        105, 105, 58, 54, 63, 87, 98, 116, 112, 115, 65, 58, 68, 92, 105, 124,
        122, 124, 79, 70, 79, 104, 118, 141, 135, 135, 82, 72, 81, 106, 121,
        144, 149, 146, 91, 80, 88, 106, 130, 148, 162, 159, 97, 86, 94, 107,
        128, 157, 167, 171, 103, 93, 98, 114, 131, 150, 174, 186, 110, 100, 101,
        117, 138, 161, 183, 193, 118, 107, 105, 118, 136, 157, 182, 203,
692
        /* Size 16x8 */
693 694 695 696 697 698 699 700
        32, 31, 32, 34, 36, 44, 48, 58, 65, 79, 82, 91, 97, 103, 110, 118, 32,
        33, 34, 37, 38, 43, 46, 54, 58, 70, 72, 80, 86, 93, 100, 107, 36, 34,
        36, 42, 48, 53, 56, 63, 68, 79, 81, 88, 94, 98, 101, 105, 53, 49, 50,
        54, 60, 71, 76, 87, 92, 104, 106, 106, 107, 114, 117, 118, 65, 59, 59,
        63, 68, 79, 85, 98, 105, 118, 121, 130, 128, 131, 138, 136, 87, 78, 77,
        79, 84, 95, 102, 116, 124, 141, 144, 148, 157, 150, 161, 157, 93, 86,
        82, 80, 86, 94, 105, 112, 122, 135, 149, 162, 167, 174, 183, 182, 99,
        93, 89, 88, 90, 97, 105, 115, 124, 135, 146, 159, 171, 186, 193, 203,
701
        /* Size 16x32 */
702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733
        32, 31, 32, 34, 36, 44, 53, 59, 65, 79, 87, 90, 93, 96, 99, 102, 31, 32,
        32, 34, 35, 42, 51, 56, 62, 75, 82, 85, 88, 91, 94, 97, 31, 32, 33, 33,
        34, 41, 49, 54, 59, 72, 78, 82, 86, 90, 93, 97, 31, 32, 33, 34, 35, 41,
        49, 54, 59, 71, 78, 81, 84, 87, 90, 93, 32, 32, 34, 35, 36, 42, 50, 54,
        59, 71, 77, 80, 82, 86, 89, 93, 32, 33, 35, 37, 38, 42, 49, 53, 58, 69,
        75, 78, 82, 86, 89, 92, 34, 34, 37, 39, 42, 48, 54, 58, 63, 73, 79, 78,
        80, 83, 88, 92, 35, 34, 37, 41, 45, 50, 57, 61, 65, 76, 82, 83, 84, 84,
        87, 90, 36, 34, 38, 43, 48, 54, 60, 64, 68, 78, 84, 87, 86, 89, 90, 90,
        39, 37, 40, 45, 50, 58, 65, 69, 73, 84, 89, 89, 91, 91, 93, 96, 44, 41,
        43, 48, 53, 63, 71, 75, 79, 90, 95, 93, 94, 95, 97, 97, 46, 43, 44, 49,
        55, 65, 73, 78, 82, 93, 98, 100, 98, 100, 99, 103, 48, 45, 46, 51, 56,
        67, 76, 80, 85, 96, 102, 102, 105, 102, 105, 104, 53, 49, 50, 54, 60,
        71, 82, 87, 92, 103, 109, 107, 107, 110, 107, 111, 58, 54, 54, 58, 63,
        75, 87, 92, 98, 110, 116, 115, 112, 111, 115, 112, 61, 57, 56, 60, 66,
        77, 89, 95, 101, 114, 120, 118, 119, 118, 116, 120, 65, 60, 58, 63, 68,
        79, 92, 98, 105, 118, 124, 123, 122, 123, 124, 121, 71, 65, 63, 68, 73,
        84, 97, 103, 111, 125, 132, 132, 130, 128, 127, 130, 79, 72, 70, 74, 79,
        90, 104, 110, 118, 133, 141, 136, 135, 135, 135, 131, 81, 74, 71, 75,
        80, 91, 105, 112, 119, 135, 142, 140, 140, 138, 139, 142, 82, 75, 72,
        76, 81, 92, 106, 113, 121, 136, 144, 151, 149, 149, 146, 143, 88, 80,
        77, 80, 85, 97, 108, 115, 126, 142, 149, 153, 153, 152, 152, 154, 91,
        83, 80, 81, 88, 100, 106, 114, 130, 142, 148, 155, 162, 160, 159, 155,
        94, 85, 83, 82, 91, 100, 105, 118, 131, 137, 153, 160, 165, 167, 166,
        168, 97, 88, 86, 85, 94, 100, 107, 123, 128, 140, 157, 161, 167, 173,
        171, 169, 100, 91, 89, 87, 97, 100, 111, 121, 127, 145, 152, 164, 173,
        178, 182, 181, 103, 94, 93, 90, 98, 101, 114, 120, 131, 144, 150, 170,
        174, 180, 186, 183, 107, 97, 96, 93, 100, 104, 117, 119, 136, 142, 155,
        168, 177, 187, 191, 198, 110, 101, 100, 97, 101, 108, 117, 123, 138,
        141, 161, 165, 183, 188, 193, 200, 114, 104, 104, 100, 103, 112, 117,
        127, 137, 146, 159, 167, 185, 190, 201, 206, 118, 108, 107, 103, 105,
        115, 118, 131, 136, 151, 157, 172, 182, 197, 203, 208, 122, 111, 111,
        107, 107, 119, 119, 136, 136, 156, 156, 178, 179, 203, 204, 217,
734
        /* Size 32x16 */
735
        32, 31, 31, 31, 32, 32, 34, 35, 36, 39, 44, 46, 48, 53, 58, 61, 65, 71,
736
        79, 81, 82, 88, 91, 94, 97, 100, 103, 107, 110, 114, 118, 122, 31, 32,
737
        32, 32, 32, 33, 34, 34, 34, 37, 41, 43, 45, 49, 54, 57, 60, 65, 72, 74,
738
        75, 80, 83, 85, 88, 91, 94, 97, 101, 104, 108, 111, 32, 32, 33, 33, 34,
739
        35, 37, 37, 38, 40, 43, 44, 46, 50, 54, 56, 58, 63, 70, 71, 72, 77, 80,
740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766
        83, 86, 89, 93, 96, 100, 104, 107, 111, 34, 34, 33, 34, 35, 37, 39, 41,
        43, 45, 48, 49, 51, 54, 58, 60, 63, 68, 74, 75, 76, 80, 81, 82, 85, 87,
        90, 93, 97, 100, 103, 107, 36, 35, 34, 35, 36, 38, 42, 45, 48, 50, 53,
        55, 56, 60, 63, 66, 68, 73, 79, 80, 81, 85, 88, 91, 94, 97, 98, 100,
        101, 103, 105, 107, 44, 42, 41, 41, 42, 42, 48, 50, 54, 58, 63, 65, 67,
        71, 75, 77, 79, 84, 90, 91, 92, 97, 100, 100, 100, 100, 101, 104, 108,
        112, 115, 119, 53, 51, 49, 49, 50, 49, 54, 57, 60, 65, 71, 73, 76, 82,
        87, 89, 92, 97, 104, 105, 106, 108, 106, 105, 107, 111, 114, 117, 117,
        117, 118, 119, 59, 56, 54, 54, 54, 53, 58, 61, 64, 69, 75, 78, 80, 87,
        92, 95, 98, 103, 110, 112, 113, 115, 114, 118, 123, 121, 120, 119, 123,
        127, 131, 136, 65, 62, 59, 59, 59, 58, 63, 65, 68, 73, 79, 82, 85, 92,
        98, 101, 105, 111, 118, 119, 121, 126, 130, 131, 128, 127, 131, 136,
        138, 137, 136, 136, 79, 75, 72, 71, 71, 69, 73, 76, 78, 84, 90, 93, 96,
        103, 110, 114, 118, 125, 133, 135, 136, 142, 142, 137, 140, 145, 144,
        142, 141, 146, 151, 156, 87, 82, 78, 78, 77, 75, 79, 82, 84, 89, 95, 98,
        102, 109, 116, 120, 124, 132, 141, 142, 144, 149, 148, 153, 157, 152,
        150, 155, 161, 159, 157, 156, 90, 85, 82, 81, 80, 78, 78, 83, 87, 89,
        93, 100, 102, 107, 115, 118, 123, 132, 136, 140, 151, 153, 155, 160,
        161, 164, 170, 168, 165, 167, 172, 178, 93, 88, 86, 84, 82, 82, 80, 84,
        86, 91, 94, 98, 105, 107, 112, 119, 122, 130, 135, 140, 149, 153, 162,
        165, 167, 173, 174, 177, 183, 185, 182, 179, 96, 91, 90, 87, 86, 86, 83,
        84, 89, 91, 95, 100, 102, 110, 111, 118, 123, 128, 135, 138, 149, 152,
        160, 167, 173, 178, 180, 187, 188, 190, 197, 203, 99, 94, 93, 90, 89,
        89, 88, 87, 90, 93, 97, 99, 105, 107, 115, 116, 124, 127, 135, 139, 146,
        152, 159, 166, 171, 182, 186, 191, 193, 201, 203, 204, 102, 97, 97, 93,
        93, 92, 92, 90, 90, 96, 97, 103, 104, 111, 112, 120, 121, 130, 131, 142,
        143, 154, 155, 168, 169, 181, 183, 198, 200, 206, 208, 217,
767
        /* Size 4x16 */
768 769 770 771
        31, 44, 79, 96, 32, 41, 72, 90, 32, 42, 71, 86, 34, 48, 73, 83, 34, 54,
        78, 89, 41, 63, 90, 95, 45, 67, 96, 102, 54, 75, 110, 111, 60, 79, 118,
        123, 72, 90, 133, 135, 75, 92, 136, 149, 83, 100, 142, 160, 88, 100,
        140, 173, 94, 101, 144, 180, 101, 108, 141, 188, 108, 115, 151, 197,
772
        /* Size 16x4 */
773 774 775 776
        31, 32, 32, 34, 34, 41, 45, 54, 60, 72, 75, 83, 88, 94, 101, 108, 44,
        41, 42, 48, 54, 63, 67, 75, 79, 90, 92, 100, 100, 101, 108, 115, 79, 72,
        71, 73, 78, 90, 96, 110, 118, 133, 136, 142, 140, 144, 141, 151, 96, 90,
        86, 83, 89, 95, 102, 111, 123, 135, 149, 160, 173, 180, 188, 197,
777
        /* Size 8x32 */
778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793
        32, 32, 36, 53, 65, 87, 93, 99, 31, 32, 35, 51, 62, 82, 88, 94, 31, 33,
        34, 49, 59, 78, 86, 93, 31, 33, 35, 49, 59, 78, 84, 90, 32, 34, 36, 50,
        59, 77, 82, 89, 32, 35, 38, 49, 58, 75, 82, 89, 34, 37, 42, 54, 63, 79,
        80, 88, 35, 37, 45, 57, 65, 82, 84, 87, 36, 38, 48, 60, 68, 84, 86, 90,
        39, 40, 50, 65, 73, 89, 91, 93, 44, 43, 53, 71, 79, 95, 94, 97, 46, 44,
        55, 73, 82, 98, 98, 99, 48, 46, 56, 76, 85, 102, 105, 105, 53, 50, 60,
        82, 92, 109, 107, 107, 58, 54, 63, 87, 98, 116, 112, 115, 61, 56, 66,
        89, 101, 120, 119, 116, 65, 58, 68, 92, 105, 124, 122, 124, 71, 63, 73,
        97, 111, 132, 130, 127, 79, 70, 79, 104, 118, 141, 135, 135, 81, 71, 80,
        105, 119, 142, 140, 139, 82, 72, 81, 106, 121, 144, 149, 146, 88, 77,
        85, 108, 126, 149, 153, 152, 91, 80, 88, 106, 130, 148, 162, 159, 94,
        83, 91, 105, 131, 153, 165, 166, 97, 86, 94, 107, 128, 157, 167, 171,
        100, 89, 97, 111, 127, 152, 173, 182, 103, 93, 98, 114, 131, 150, 174,
        186, 107, 96, 100, 117, 136, 155, 177, 191, 110, 100, 101, 117, 138,
        161, 183, 193, 114, 104, 103, 117, 137, 159, 185, 201, 118, 107, 105,
        118, 136, 157, 182, 203, 122, 111, 107, 119, 136, 156, 179, 204,
794
        /* Size 32x8 */
795
        32, 31, 31, 31, 32, 32, 34, 35, 36, 39, 44, 46, 48, 53, 58, 61, 65, 71,
796
        79, 81, 82, 88, 91, 94, 97, 100, 103, 107, 110, 114, 118, 122, 32, 32,
797
        33, 33, 34, 35, 37, 37, 38, 40, 43, 44, 46, 50, 54, 56, 58, 63, 70, 71,
798
        72, 77, 80, 83, 86, 89, 93, 96, 100, 104, 107, 111, 36, 35, 34, 35, 36,
799
        38, 42, 45, 48, 50, 53, 55, 56, 60, 63, 66, 68, 73, 79, 80, 81, 85, 88,
800 801 802 803 804 805 806 807 808 809 810
        91, 94, 97, 98, 100, 101, 103, 105, 107, 53, 51, 49, 49, 50, 49, 54, 57,
        60, 65, 71, 73, 76, 82, 87, 89, 92, 97, 104, 105, 106, 108, 106, 105,
        107, 111, 114, 117, 117, 117, 118, 119, 65, 62, 59, 59, 59, 58, 63, 65,
        68, 73, 79, 82, 85, 92, 98, 101, 105, 111, 118, 119, 121, 126, 130, 131,
        128, 127, 131, 136, 138, 137, 136, 136, 87, 82, 78, 78, 77, 75, 79, 82,
        84, 89, 95, 98, 102, 109, 116, 120, 124, 132, 141, 142, 144, 149, 148,
        153, 157, 152, 150, 155, 161, 159, 157, 156, 93, 88, 86, 84, 82, 82, 80,
        84, 86, 91, 94, 98, 105, 107, 112, 119, 122, 130, 135, 140, 149, 153,
        162, 165, 167, 173, 174, 177, 183, 185, 182, 179, 99, 94, 93, 90, 89,
        89, 88, 87, 90, 93, 97, 99, 105, 107, 115, 116, 124, 127, 135, 139, 146,
        152, 159, 166, 171, 182, 186, 191, 193, 201, 203, 204 },
811 812
      { /* Chroma */
        /* Size 4x4 */
813
        35, 46, 57, 66, 46, 60, 69, 71, 57, 69, 90, 90, 66, 71, 90, 109,
814
        /* Size 8x8 */
815 816 817 818
        31, 38, 47, 50, 57, 63, 67, 71, 38, 47, 46, 47, 52, 57, 62, 67, 47, 46,
        54, 57, 61, 66, 67, 68, 50, 47, 57, 66, 72, 77, 75, 75, 57, 52, 61, 72,
        82, 88, 86, 84, 63, 57, 66, 77, 88, 96, 95, 95, 67, 62, 67, 75, 86, 95,
        104, 107, 71, 67, 68, 75, 84, 95, 107, 113,
819
        /* Size 16x16 */
820 821 822 823 824 825 826 827 828 829 830 831 832 833 834
        32, 30, 33, 41, 49, 49, 50, 54, 57, 63, 65, 68, 70, 72, 74, 76, 30, 32,
        35, 42, 46, 45, 46, 49, 52, 57, 58, 62, 64, 67, 70, 72, 33, 35, 39, 45,
        47, 45, 46, 49, 51, 56, 57, 60, 62, 64, 66, 69, 41, 42, 45, 48, 50, 49,
        50, 52, 53, 57, 58, 59, 60, 61, 64, 67, 49, 46, 47, 50, 53, 53, 54, 55,
        56, 60, 61, 64, 64, 65, 66, 66, 49, 45, 45, 49, 53, 58, 60, 62, 63, 67,
        68, 67, 69, 68, 70, 70, 50, 46, 46, 50, 54, 60, 61, 65, 67, 71, 71, 74,
        73, 73, 74, 74, 54, 49, 49, 52, 55, 62, 65, 71, 73, 78, 79, 78, 77, 78,
        78, 78, 57, 52, 51, 53, 56, 63, 67, 73, 76, 82, 83, 84, 84, 84, 82, 83,
        63, 57, 56, 57, 60, 67, 71, 78, 82, 89, 90, 90, 89, 88, 87, 88, 65, 58,
        57, 58, 61, 68, 71, 79, 83, 90, 91, 94, 93, 93, 92, 93, 68, 62, 60, 59,
        64, 67, 74, 78, 84, 90, 94, 98, 99, 98, 98, 98, 70, 64, 62, 60, 64, 69,
        73, 77, 84, 89, 93, 99, 102, 103, 104, 104, 72, 67, 64, 61, 65, 68, 73,
        78, 84, 88, 93, 98, 103, 106, 108, 109, 74, 70, 66, 64, 66, 70, 74, 78,
        82, 87, 92, 98, 104, 108, 111, 112, 76, 72, 69, 67, 66, 70, 74, 78, 83,
        88, 93, 98, 104, 109, 112, 116,
835
        /* Size 32x32 */
836
        32, 31, 30, 32, 33, 36, 41, 45, 49, 48, 49, 50, 50, 52, 54, 56, 57, 60,
837 838 839 840 841 842 843 844
        63, 64, 65, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 78, 31, 31, 31, 33,
        34, 38, 42, 45, 47, 47, 47, 47, 48, 50, 52, 53, 54, 57, 60, 61, 61, 63,
        64, 65, 66, 67, 68, 69, 70, 71, 72, 74, 30, 31, 32, 33, 35, 40, 42, 44,
        46, 45, 45, 45, 46, 47, 49, 51, 52, 54, 57, 58, 58, 61, 62, 63, 64, 66,
        67, 68, 70, 71, 72, 74, 32, 33, 33, 35, 37, 41, 43, 45, 47, 46, 45, 46,
        46, 47, 49, 50, 51, 54, 57, 57, 58, 60, 61, 62, 63, 64, 65, 66, 67, 68,
        69, 70, 33, 34, 35, 37, 39, 43, 45, 46, 47, 46, 45, 46, 46, 47, 49, 50,
        51, 53, 56, 57, 57, 59, 60, 61, 62, 63, 64, 65, 66, 68, 69, 70, 36, 38,
845
        40, 41, 43, 47, 47, 47, 48, 46, 45, 46, 46, 47, 48, 49, 50, 52, 54, 55,
846 847 848 849 850 851
        55, 57, 58, 59, 61, 62, 64, 65, 66, 67, 68, 69, 41, 42, 42, 43, 45, 47,
        48, 49, 50, 49, 49, 49, 50, 50, 52, 52, 53, 55, 57, 58, 58, 60, 59, 59,
        60, 61, 61, 63, 64, 66, 67, 69, 45, 45, 44, 45, 46, 47, 49, 50, 51, 51,
        51, 51, 52, 52, 53, 54, 55, 57, 59, 59, 60, 61, 61, 62, 63, 63, 63, 63,
        63, 64, 65, 66, 49, 47, 46, 47, 47, 48, 50, 51, 53, 53, 53, 54, 54, 54,
        55, 56, 56, 58, 60, 61, 61, 63, 64, 64, 64, 64, 65, 66, 66, 66, 66, 66,
852
        48, 47, 45, 46, 46, 46, 49, 51, 53, 54, 55, 56, 56, 57, 58, 59, 60, 61,
853
        63, 64, 64, 66, 66, 65, 66, 67, 67, 67, 67, 68, 69, 70, 49, 47, 45, 45,
854
        45, 45, 49, 51, 53, 55, 58, 59, 60, 61, 62, 63, 63, 65, 67, 67, 68, 69,
855 856 857 858 859 860
        67, 68, 69, 68, 68, 69, 70, 70, 70, 70, 50, 47, 45, 46, 46, 46, 49, 51,
        54, 56, 59, 60, 60, 62, 64, 64, 65, 67, 69, 69, 70, 70, 71, 71, 70, 70,
        71, 71, 71, 71, 72, 74, 50, 48, 46, 46, 46, 46, 50, 52, 54, 56, 60, 60,
        61, 63, 65, 66, 67, 68, 71, 71, 71, 73, 74, 72, 73, 74, 73, 73, 74, 74,
        74, 74, 52, 50, 47, 47, 47, 47, 50, 52, 54, 57, 61, 62, 63, 66, 68, 69,
        70, 72, 75, 75, 75, 77, 75, 75, 76, 75, 75, 76, 75, 75, 76, 77, 54, 52,
861
        49, 49, 49, 48, 52, 53, 55, 58, 62, 64, 65, 68, 71, 72, 73, 75, 78, 78,
862 863 864 865 866 867
        79, 79, 78, 79, 77, 78, 78, 77, 78, 79, 78, 78, 56, 53, 51, 50, 50, 49,
        52, 54, 56, 59, 63, 64, 66, 69, 72, 73, 75, 77, 80, 80, 81, 81, 82, 80,
        81, 81, 79, 81, 80, 79, 81, 82, 57, 54, 52, 51, 51, 50, 53, 55, 56, 60,
        63, 65, 67, 70, 73, 75, 76, 79, 82, 82, 83, 85, 84, 83, 84, 83, 84, 82,
        82, 84, 83, 82, 60, 57, 54, 54, 53, 52, 55, 57, 58, 61, 65, 67, 68, 72,
        75, 77, 79, 82, 85, 85, 86, 88, 86, 87, 85, 86, 85, 85, 86, 84, 85, 86,
868
        63, 60, 57, 57, 56, 54, 57, 59, 60, 63, 67, 69, 71, 75, 78, 80, 82, 85,
869
        89, 89, 90, 90, 90, 89, 89, 88, 88, 88, 87, 88, 88, 87, 64, 61, 58, 57,
870
        57, 55, 58, 59, 61, 64, 67, 69, 71, 75, 78, 80, 82, 85, 89, 90, 91, 92,
871 872 873 874 875 876 877 878 879 880 881 882 883 884 885 886 887 888 889 890 891 892 893 894
        93, 92, 92, 91, 91, 90, 91, 90, 90, 92, 65, 61, 58, 58, 57, 55, 58, 60,
        61, 64, 68, 70, 71, 75, 79, 81, 83, 86, 90, 91, 91, 94, 94, 96, 93, 94,
        93, 94, 92, 93, 93, 92, 67, 63, 61, 60, 59, 57, 60, 61, 63, 66, 69, 70,
        73, 77, 79, 81, 85, 88, 90, 92, 94, 96, 96, 97, 98, 95, 97, 95, 96, 95,
        95, 96, 68, 64, 62, 61, 60, 58, 59, 61, 64, 66, 67, 71, 74, 75, 78, 82,
        84, 86, 90, 93, 94, 96, 98, 98, 99, 100, 98, 99, 98, 98, 98, 97, 69, 65,
        63, 62, 61, 59, 59, 62, 64, 65, 68, 71, 72, 75, 79, 80, 83, 87, 89, 92,
        96, 97, 98, 100, 100, 101, 102, 101, 101, 101, 100, 102, 70, 66, 64, 63,
        62, 61, 60, 63, 64, 66, 69, 70, 73, 76, 77, 81, 84, 85, 89, 92, 93, 98,
        99, 100, 102, 102, 103, 104, 104, 103, 104, 102, 71, 67, 66, 64, 63, 62,
        61, 63, 64, 67, 68, 70, 74, 75, 78, 81, 83, 86, 88, 91, 94, 95, 100,
        101, 102, 104, 104, 105, 106, 107, 105, 107, 72, 68, 67, 65, 64, 64, 61,
        63, 65, 67, 68, 71, 73, 75, 78, 79, 84, 85, 88, 91, 93, 97, 98, 102,
        103, 104, 106, 106, 108, 108, 109, 107, 73, 69, 68, 66, 65, 65, 63, 63,
        66, 67, 69, 71, 73, 76, 77, 81, 82, 85, 88, 90, 94, 95, 99, 101, 104,
        105, 106, 109, 108, 110, 111, 112, 74, 70, 70, 67, 66, 66, 64, 63, 66,
        67, 70, 71, 74, 75, 78, 80, 82, 86, 87, 91, 92, 96, 98, 101, 104, 106,
        108, 108, 111, 111, 112, 113, 75, 71, 71, 68, 68, 67, 66, 64, 66, 68,
        70, 71, 74, 75, 79, 79, 84, 84, 88, 90, 93, 95, 98, 101, 103, 107, 108,
        110, 111, 113, 113, 115, 76, 72, 72, 69, 69, 68, 67, 65, 66, 69, 70, 72,
        74, 76, 78, 81, 83, 85, 88, 90, 93, 95, 98, 100, 104, 105, 109, 111,
        112, 113, 116, 115, 78, 74, 74, 70, 70, 69, 69, 66, 66, 70, 70, 74, 74,
        77, 78, 82, 82, 86, 87, 92, 92, 96, 97, 102, 102, 107, 107, 112, 113,
        115, 115, 118,
895
        /* Size 4x8 */
896 897
        31, 47, 60, 66, 40, 45, 54, 61, 46, 56, 64, 64, 48, 61, 75, 73, 54, 65,
        85, 82, 61, 69, 92, 92, 64, 68, 90, 102, 68, 71, 87, 105,
898
        /* Size 8x4 */
899 900
        31, 40, 46, 48, 54, 61, 64, 68, 47, 45, 56, 61, 65, 69, 68, 71, 60, 54,
        64, 75, 85, 92, 90, 87, 66, 61, 64, 73, 82, 92, 102, 105,
901
        /* Size 8x16 */
902 903 904 905 906 907 908 909
        32, 37, 48, 52, 57, 66, 68, 71, 30, 40, 46, 48, 52, 60, 63, 66, 33, 43,
        47, 47, 51, 59, 60, 63, 42, 47, 50, 50, 53, 60, 59, 62, 49, 48, 53, 54,
        57, 62, 62, 62, 49, 46, 53, 61, 64, 69, 66, 66, 50, 46, 54, 64, 67, 73,
        72, 70, 54, 49, 55, 68, 73, 80, 76, 75, 57, 50, 56, 70, 76, 84, 80, 79,
        63, 55, 60, 75, 82, 92, 87, 84, 64, 56, 61, 75, 83, 93, 93, 89, 68, 59,
        64, 74, 86, 94, 98, 94, 70, 62, 66, 73, 83, 96, 99, 98, 72, 64, 66, 75,
        83, 92, 101, 104, 74, 67, 66, 74, 84, 94, 103, 106, 76, 69, 67, 73, 82,
        91, 101, 109,
910
        /* Size 16x8 */
911 912 913 914 915 916 917 918
        32, 30, 33, 42, 49, 49, 50, 54, 57, 63, 64, 68, 70, 72, 74, 76, 37, 40,
        43, 47, 48, 46, 46, 49, 50, 55, 56, 59, 62, 64, 67, 69, 48, 46, 47, 50,
        53, 53, 54, 55, 56, 60, 61, 64, 66, 66, 66, 67, 52, 48, 47, 50, 54, 61,
        64, 68, 70, 75, 75, 74, 73, 75, 74, 73, 57, 52, 51, 53, 57, 64, 67, 73,
        76, 82, 83, 86, 83, 83, 84, 82, 66, 60, 59, 60, 62, 69, 73, 80, 84, 92,
        93, 94, 96, 92, 94, 91, 68, 63, 60, 59, 62, 66, 72, 76, 80, 87, 93, 98,
        99, 101, 103, 101, 71, 66, 63, 62, 62, 66, 70, 75, 79, 84, 89, 94, 98,
        104, 106, 109,
919
        /* Size 16x32 */
920 921 922 923 924 925 926 927 928 929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944 945 946 947 948
        32, 31, 37, 42, 48, 49, 52, 54, 57, 63, 66, 67, 68, 69, 71, 72, 31, 31,
        38, 42, 47, 47, 50, 52, 54, 60, 63, 64, 65, 66, 67, 68, 30, 32, 40, 42,
        46, 45, 48, 50, 52, 57, 60, 62, 63, 65, 66, 68, 32, 34, 41, 44, 46, 45,
        48, 49, 51, 57, 59, 61, 62, 63, 64, 65, 33, 36, 43, 45, 47, 46, 47, 49,
        51, 56, 59, 60, 60, 62, 63, 65, 37, 40, 47, 47, 47, 45, 47, 48, 50, 54,
        57, 58, 60, 61, 62, 63, 42, 43, 47, 48, 50, 49, 50, 52, 53, 57, 60, 58,
        59, 60, 62, 63, 45, 44, 47, 49, 51, 51, 52, 54, 55, 59, 61, 61, 61, 60,
        61, 61, 49, 46, 48, 50, 53, 53, 54, 55, 57, 60, 62, 63, 62, 63, 62, 62,
        48, 46, 47, 50, 53, 56, 57, 59, 60, 64, 66, 65, 65, 64, 64, 65, 49, 45,
        46, 49, 53, 58, 61, 62, 64, 67, 69, 67, 66, 66, 66, 65, 49, 46, 46, 49,
        53, 59, 62, 64, 65, 69, 71, 70, 68, 68, 67, 68, 50, 46, 46, 50, 54, 59,
        64, 65, 67, 71, 73, 72, 72, 70, 70, 69, 52, 48, 47, 50, 54, 61, 66, 68,
        71, 75, 77, 74, 73, 73, 71, 72, 54, 50, 49, 52, 55, 62, 68, 71, 73, 78,
        80, 78, 76, 74, 75, 73, 55, 51, 49, 52, 56, 63, 69, 72, 75, 80, 82, 80,
        79, 78, 76, 77, 57, 52, 50, 53, 56, 64, 70, 73, 76, 82, 84, 82, 80, 80,
        79, 77, 60, 54, 52, 55, 58, 65, 72, 75, 79, 85, 88, 86, 84, 82, 81, 81,
        63, 57, 55, 58, 60, 67, 75, 78, 82, 89, 92, 88, 87, 85, 84, 81, 64, 58,
        55, 58, 61, 68, 75, 78, 82, 89, 92, 90, 89, 87, 86, 86, 64, 59, 56, 58,
        61, 68, 75, 79, 83, 90, 93, 95, 93, 91, 89, 87, 67, 61, 58, 60, 63, 69,
        76, 79, 85, 92, 95, 96, 94, 92, 91, 91, 68, 62, 59, 60, 64, 71, 74, 78,
        86, 91, 94, 96, 98, 96, 94, 91, 69, 62, 60, 60, 65, 70, 72, 79, 85, 88,
        95, 98, 99, 98, 97, 96, 70, 63, 62, 60, 66, 69, 73, 81, 83, 89, 96, 97,
        99, 101, 98, 97, 71, 64, 63, 61, 67, 68, 74, 79, 82, 90, 93, 98, 102,
        102, 102, 101, 72, 65, 64, 62, 66, 68, 75, 78, 83, 89, 92, 100, 101,
        103, 104, 102, 73, 66, 65, 63, 66, 69, 75, 76, 84, 87, 93, 98, 102, 105,
        106, 107, 74, 67, 67, 64, 66, 70, 74, 77, 84, 86, 94, 96, 103, 105, 106,
        107, 75, 68, 68, 65, 66, 71, 74, 78, 83, 87, 93, 96, 103, 105, 109, 109,
        76, 69, 69, 66, 67, 72, 73, 80, 82, 88, 91, 97, 101, 107, 109, 110, 77,
        70, 70, 67, 67, 73, 73, 81, 81, 90, 90, 99, 99, 108, 108, 113,
949
        /* Size 32x16 */
950
        32, 31, 30, 32, 33, 37, 42, 45, 49, 48, 49, 49, 50, 52, 54, 55, 57, 60,
951
        63, 64, 64, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 31, 31, 32, 34,
952
        36, 40, 43, 44, 46, 46, 45, 46, 46, 48, 50, 51, 52, 54, 57, 58, 59, 61,
953
        62, 62, 63, 64, 65, 66, 67, 68, 69, 70, 37, 38, 40, 41, 43, 47, 47, 47,
954
        48, 47, 46, 46, 46, 47, 49, 49, 50, 52, 55, 55, 56, 58, 59, 60, 62, 63,
955 956 957 958
        64, 65, 67, 68, 69, 70, 42, 42, 42, 44, 45, 47, 48, 49, 50, 50, 49, 49,
        50, 50, 52, 52, 53, 55, 58, 58, 58, 60, 60, 60, 60, 61, 62, 63, 64, 65,
        66, 67, 48, 47, 46, 46, 47, 47, 50, 51, 53, 53, 53, 53, 54, 54, 55, 56,
        56, 58, 60, 61, 61, 63, 64, 65, 66, 67, 66, 66, 66, 66, 67, 67, 49, 47,
959
        45, 45, 46, 45, 49, 51, 53, 56, 58, 59, 59, 61, 62, 63, 64, 65, 67, 68,
960 961 962 963 964 965
        68, 69, 71, 70, 69, 68, 68, 69, 70, 71, 72, 73, 52, 50, 48, 48, 47, 47,
        50, 52, 54, 57, 61, 62, 64, 66, 68, 69, 70, 72, 75, 75, 75, 76, 74, 72,
        73, 74, 75, 75, 74, 74, 73, 73, 54, 52, 50, 49, 49, 48, 52, 54, 55, 59,
        62, 64, 65, 68, 71, 72, 73, 75, 78, 78, 79, 79, 78, 79, 81, 79, 78, 76,
        77, 78, 80, 81, 57, 54, 52, 51, 51, 50, 53, 55, 57, 60, 64, 65, 67, 71,
        73, 75, 76, 79, 82, 82, 83, 85, 86, 85, 83, 82, 83, 84, 84, 83, 82, 81,
966
        63, 60, 57, 57, 56, 54, 57, 59, 60, 64, 67, 69, 71, 75, 78, 80, 82, 85,
967
        89, 89, 90, 92, 91, 88, 89, 90, 89, 87, 86, 87, 88, 90, 66, 63, 60, 59,
968
        59, 57, 60, 61, 62, 66, 69, 71, 73, 77, 80, 82, 84, 88, 92, 92, 93, 95,
969 970 971 972 973 974 975 976 977 978
        94, 95, 96, 93, 92, 93, 94, 93, 91, 90, 67, 64, 62, 61, 60, 58, 58, 61,
        63, 65, 67, 70, 72, 74, 78, 80, 82, 86, 88, 90, 95, 96, 96, 98, 97, 98,
        100, 98, 96, 96, 97, 99, 68, 65, 63, 62, 60, 60, 59, 61, 62, 65, 66, 68,
        72, 73, 76, 79, 80, 84, 87, 89, 93, 94, 98, 99, 99, 102, 101, 102, 103,
        103, 101, 99, 69, 66, 65, 63, 62, 61, 60, 60, 63, 64, 66, 68, 70, 73,
        74, 78, 80, 82, 85, 87, 91, 92, 96, 98, 101, 102, 103, 105, 105, 105,
        107, 108, 71, 67, 66, 64, 63, 62, 62, 61, 62, 64, 66, 67, 70, 71, 75,
        76, 79, 81, 84, 86, 89, 91, 94, 97, 98, 102, 104, 106, 106, 109, 109,
        108, 72, 68, 68, 65, 65, 63, 63, 61, 62, 65, 65, 68, 69, 72, 73, 77, 77,
        81, 81, 86, 87, 91, 91, 96, 97, 101, 102, 107, 107, 109, 110, 113,
979
        /* Size 4x16 */
980 981 982 983
        31, 49, 63, 69, 32, 45, 57, 65, 36, 46, 56, 62, 43, 49, 57, 60, 46, 53,
        60, 63, 45, 58, 67, 66, 46, 59, 71, 70, 50, 62, 78, 74, 52, 64, 82, 80,
        57, 67, 89, 85, 59, 68, 90, 91, 62, 71, 91, 96, 63, 69, 89, 101, 65, 68,
        89, 103, 67, 70, 86, 105, 69, 72, 88, 107,
984
        /* Size 16x4 */
985 986 987 988
        31, 32, 36, 43, 46, 45, 46, 50, 52, 57, 59, 62, 63, 65, 67, 69, 49, 45,
        46, 49, 53, 58, 59, 62, 64, 67, 68, 71, 69, 68, 70, 72, 63, 57, 56, 57,
        60, 67, 71, 78, 82, 89, 90, 91, 89, 89, 86, 88, 69, 65, 62, 60, 63, 66,
        70, 74, 80, 85, 91, 96, 101, 103, 105, 107,
989
        /* Size 8x32 */
990 991 992 993 994 995 996 997 998 999 1000 1001 1002 1003 1004
        32, 37, 48, 52, 57, 66, 68, 71, 31, 38, 47, 50, 54, 63, 65, 67, 30, 40,
        46, 48, 52, 60, 63, 66, 32, 41, 46, 48, 51, 59, 62, 64, 33, 43, 47, 47,
        51, 59, 60, 63, 37, 47, 47, 47, 50, 57, 60, 62, 42, 47, 50, 50, 53, 60,
        59, 62, 45, 47, 51, 52, 55, 61, 61, 61, 49, 48, 53, 54, 57, 62, 62, 62,
        48, 47, 53, 57, 60, 66, 65, 64, 49, 46, 53, 61, 64, 69, 66, 66, 49, 46,
        53, 62, 65, 71, 68, 67, 50, 46, 54, 64, 67, 73, 72, 70, 52, 47, 54, 66,
        71, 77, 73, 71, 54, 49, 55, 68, 73, 80, 76, 75, 55, 49, 56, 69, 75, 82,
        79, 76, 57, 50, 56, 70, 76, 84, 80, 79, 60, 52, 58, 72, 79, 88, 84, 81,
        63, 55, 60, 75, 82, 92, 87, 84, 64, 55, 61, 75, 82, 92, 89, 86, 64, 56,
        61, 75, 83, 93, 93, 89, 67, 58, 63, 76, 85, 95, 94, 91, 68, 59, 64, 74,
        86, 94, 98, 94, 69, 60, 65, 72, 85, 95, 99, 97, 70, 62, 66, 73, 83, 96,
        99, 98, 71, 63, 67, 74, 82, 93, 102, 102, 72, 64, 66, 75, 83, 92, 101,
        104, 73, 65, 66, 75, 84, 93, 102, 106, 74, 67, 66, 74, 84, 94, 103, 106,
        75, 68, 66, 74, 83, 93, 103, 109, 76, 69, 67, 73, 82, 91, 101, 109, 77,
        70, 67, 73, 81, 90, 99, 108,
1005
        /* Size 32x8 */
1006
        32, 31, 30, 32, 33, 37, 42, 45, 49, 48, 49, 49, 50, 52, 54, 55, 57, 60,
1007
        63, 64, 64, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 37, 38, 40, 41,
1008
        43, 47, 47, 47, 48, 47, 46, 46, 46, 47, 49, 49, 50, 52, 55, 55, 56, 58,
1009 1010 1011 1012 1013 1014
        59, 60, 62, 63, 64, 65, 67, 68, 69, 70, 48, 47, 46, 46, 47, 47, 50, 51,
        53, 53, 53, 53, 54, 54, 55, 56, 56, 58, 60, 61, 61, 63, 64, 65, 66, 67,
        66, 66, 66, 66, 67, 67, 52, 50, 48, 48, 47, 47, 50, 52, 54, 57, 61, 62,
        64, 66, 68, 69, 70, 72, 75, 75, 75, 76, 74, 72, 73, 74, 75, 75, 74, 74,
        73, 73, 57, 54, 52, 51, 51, 50, 53, 55, 57, 60, 64, 65, 67, 71, 73, 75,
        76, 79, 82, 82, 83, 85, 86, 85, 83, 82, 83, 84, 84, 83, 82, 81, 66, 63,
1015
        60, 59, 59, 57, 60, 61, 62, 66, 69, 71, 73, 77, 80, 82, 84, 88, 92, 92,
1016 1017 1018 1019 1020
        93, 95, 94, 95, 96, 93, 92, 93, 94, 93, 91, 90, 68, 65, 63, 62, 60, 60,
        59, 61, 62, 65, 66, 68, 72, 73, 76, 79, 80, 84, 87, 89, 93, 94, 98, 99,
        99, 102, 101, 102, 103, 103, 101, 99, 71, 67, 66, 64, 63, 62, 62, 61,
        62, 64, 66, 67, 70, 71, 75, 76, 79, 81, 84, 86, 89, 91, 94, 97, 98, 102,
        104, 106, 106, 109, 109, 108 },
1021 1022 1023 1024
  },
  {
      { /* Luma */
        /* Size 4x4 */
1025
        32, 41, 69, 92, 41, 63, 88, 103, 69, 88, 127, 140, 92, 103, 140, 184,
1026
        /* Size 8x8 */
1027 1028 1029 1030
        32, 32, 37, 47, 62, 78, 90, 102, 32, 35, 39, 46, 58, 72, 84, 96, 37, 39,
        51, 60, 71, 84, 93, 100, 47, 46, 60, 73, 87, 100, 106, 113, 62, 58, 71,
        87, 105, 121, 129, 132, 78, 72, 84, 100, 121, 140, 148, 155, 90, 84, 93,
        106, 129, 148, 169, 183, 102, 96, 100, 113, 132, 155, 183, 201,
1031
        /* Size 16x16 */
1032 1033 1034 1035 1036 1037 1038 1039 1040 1041 1042 1043 1044 1045 1046 1047
        32, 31, 31, 32, 36, 39, 47, 54, 61, 71, 80, 86, 92, 98, 104, 111, 31,
        32, 32, 33, 34, 37, 44, 50, 56, 65, 73, 79, 85, 91, 98, 105, 31, 32, 33,
        34, 36, 39, 45, 50, 56, 64, 71, 77, 82, 88, 94, 100, 32, 33, 34, 36, 40,
        42, 47, 51, 57, 65, 71, 76, 80, 85, 91, 98, 36, 34, 36, 40, 48, 50, 56,
        60, 65, 73, 79, 84, 86, 90, 95, 98, 39, 37, 39, 42, 50, 54, 60, 65, 70,
        78, 84, 89, 95, 96, 102, 105, 47, 44, 45, 47, 56, 60, 69, 75, 81, 89,
        95, 100, 102, 104, 109, 112, 54, 50, 50, 51, 60, 65, 75, 82, 89, 97,
        104, 109, 110, 114, 117, 121, 61, 56, 56, 57, 65, 70, 81, 89, 97, 106,
        113, 119, 122, 126, 125, 130, 71, 65, 64, 65, 73, 78, 89, 97, 106, 117,
        125, 131, 134, 134, 136, 141, 80, 73, 71, 71, 79, 84, 95, 104, 113, 125,
        134, 140, 142, 145, 146, 152, 86, 79, 77, 76, 84, 89, 100, 109, 119,
        131, 140, 147, 154, 157, 160, 165, 92, 85, 82, 80, 86, 95, 102, 110,
        122, 134, 142, 154, 162, 168, 174, 178, 98, 91, 88, 85, 90, 96, 104,
        114, 126, 134, 145, 157, 168, 176, 184, 193, 104, 98, 94, 91, 95, 102,
        109, 117, 125, 136, 146, 160, 174, 184, 193, 201, 111, 105, 100, 98, 98,
        105, 112, 121, 130, 141, 152, 165, 178, 193, 201, 210,
1048
        /* Size 32x32 */
1049
        32, 31, 31, 31, 31, 32, 32, 34, 36, 38, 39, 44, 47, 49, 54, 59, 61, 65,
1050 1051 1052 1053 1054 1055 1056 1057 1058 1059 1060 1061 1062 1063 1064 1065 1066 1067 1068 1069 1070 1071 1072 1073 1074 1075 1076 1077 1078 1079 1080 1081 1082 1083 1084
        71, 76, 80, 83, 86, 89, 92, 95, 98, 101, 104, 108, 111, 114, 31, 32, 32,
        32, 32, 32, 33, 34, 35, 37, 38, 42, 45, 47, 51, 56, 58, 62, 68, 72, 76,
        78, 82, 85, 88, 90, 93, 96, 99, 102, 105, 109, 31, 32, 32, 32, 32, 32,
        33, 33, 34, 36, 37, 41, 44, 46, 50, 54, 56, 60, 65, 70, 73, 76, 79, 82,
        85, 88, 91, 95, 98, 101, 105, 109, 31, 32, 32, 32, 32, 33, 33, 34, 35,
        36, 38, 41, 44, 45, 49, 54, 56, 59, 65, 69, 72, 75, 78, 81, 84, 86, 89,
        92, 95, 98, 101, 104, 31, 32, 32, 32, 33, 34, 34, 35, 36, 38, 39, 42,
        45, 46, 50, 54, 56, 59, 64, 68, 71, 74, 77, 79, 82, 85, 88, 91, 94, 97,
        100, 104, 32, 32, 32, 33, 34, 35, 36, 37, 38, 39, 40, 42, 45, 46, 49,
        53, 55, 58, 63, 66, 69, 72, 74, 78, 81, 84, 87, 90, 93, 96, 99, 102, 32,
        33, 33, 33, 34, 36, 36, 38, 40, 41, 42, 44, 47, 48, 51, 55, 57, 60, 65,
        68, 71, 73, 76, 78, 80, 82, 85, 88, 91, 95, 98, 102, 34, 34, 33, 34, 35,
        37, 38, 39, 42, 44, 45, 47, 50, 51, 54, 58, 60, 63, 68, 71, 74, 76, 79,
        82, 85, 86, 87, 88, 90, 93, 96, 99, 36, 35, 34, 35, 36, 38, 40, 42, 48,
        50, 50, 54, 56, 57, 60, 64, 65, 68, 73, 76, 79, 81, 84, 86, 86, 88, 90,
        93, 95, 97, 98, 100, 38, 37, 36, 36, 38, 39, 41, 44, 50, 51, 52, 56, 58,
        60, 63, 67, 68, 71, 76, 79, 82, 84, 87, 87, 90, 93, 94, 95, 96, 100,
        103, 106, 39, 38, 37, 38, 39, 40, 42, 45, 50, 52, 54, 58, 60, 62, 65,
        69, 70, 73, 78, 81, 84, 86, 89, 92, 95, 95, 96, 99, 102, 104, 105, 106,
        44, 42, 41, 41, 42, 42, 44, 47, 54, 56, 58, 63, 66, 68, 71, 75, 77, 79,
        84, 88, 90, 92, 95, 97, 97, 99, 102, 103, 103, 106, 109, 113, 47, 45,
        44, 44, 45, 45, 47, 50, 56, 58, 60, 66, 69, 71, 75, 79, 81, 84, 89, 92,
        95, 97, 100, 100, 102, 105, 104, 106, 109, 111, 112, 113, 49, 47, 46,
        45, 46, 46, 48, 51, 57, 60, 62, 68, 71, 73, 77, 81, 83, 87, 92, 95, 98,
        100, 103, 105, 107, 106, 109, 112, 112, 113, 117, 120, 54, 51, 50, 49,
        50, 49, 51, 54, 60, 63, 65, 71, 75, 77, 82, 87, 89, 92, 97, 101, 104,
        106, 109, 112, 110, 113, 114, 114, 117, 121, 121, 121, 59, 56, 54, 54,
        54, 53, 55, 58, 64, 67, 69, 75, 79, 81, 87, 92, 94, 98, 103, 107, 110,
        113, 116, 114, 117, 118, 117, 121, 122, 122, 125, 129, 61, 58, 56, 56,
        56, 55, 57, 60, 65, 68, 70, 77, 81, 83, 89, 94, 97, 101, 106, 110, 113,
        116, 119, 120, 122, 121, 126, 124, 125, 130, 130, 130, 65, 62, 60, 59,
        59, 58, 60, 63, 68, 71, 73, 79, 84, 87, 92, 98, 101, 105, 111, 115, 118,
        121, 124, 128, 125, 129, 128, 131, 133, 132, 135, 139, 71, 68, 65, 65,
        64, 63, 65, 68, 73, 76, 78, 84, 89, 92, 97, 103, 106, 111, 117, 122,
        125, 128, 131, 131, 134, 132, 134, 136, 136, 140, 141, 140, 76, 72, 70,
1085
        69, 68, 66, 68, 71, 76, 79, 81, 88, 92, 95, 101, 107, 110, 115, 122,
1086
        127, 130, 133, 136, 136, 138, 139, 141, 140, 145, 143, 146, 151, 80, 76,
1087
        73, 72, 71, 69, 71, 74, 79, 82, 84, 90, 95, 98, 104, 110, 113, 118, 125,
1088
        130, 134, 137, 140, 146, 142, 146, 145, 149, 146, 150, 152, 151, 83, 78,
1089
        76, 75, 74, 72, 73, 76, 81, 84, 86, 92, 97, 100, 106, 113, 116, 121,
1090
        128, 133, 137, 140, 144, 147, 152, 148, 154, 151, 156, 155, 156, 162,
1091
        86, 82, 79, 78, 77, 74, 76, 79, 84, 87, 89, 95, 100, 103, 109, 116, 119,
1092 1093 1094 1095 1096 1097 1098 1099 1100 1101 1102 1103 1104 1105 1106 1107 1108 1109 1110 1111 1112
        124, 131, 136, 140, 144, 147, 150, 154, 159, 157, 160, 160, 162, 165,
        162, 89, 85, 82, 81, 79, 78, 78, 82, 86, 87, 92, 97, 100, 105, 112, 114,
        120, 128, 131, 136, 146, 147, 150, 155, 156, 161, 166, 165, 167, 169,
        169, 175, 92, 88, 85, 84, 82, 81, 80, 85, 86, 90, 95, 97, 102, 107, 110,
        117, 122, 125, 134, 138, 142, 152, 154, 156, 162, 163, 168, 173, 174,
        174, 178, 176, 95, 90, 88, 86, 85, 84, 82, 86, 88, 93, 95, 99, 105, 106,
        113, 118, 121, 129, 132, 139, 146, 148, 159, 161, 163, 169, 170, 176,
        180, 183, 181, 187, 98, 93, 91, 89, 88, 87, 85, 87, 90, 94, 96, 102,
        104, 109, 114, 117, 126, 128, 134, 141, 145, 154, 157, 166, 168, 170,
        176, 178, 184, 188, 193, 188, 101, 96, 95, 92, 91, 90, 88, 88, 93, 95,
        99, 103, 106, 112, 114, 121, 124, 131, 136, 140, 149, 151, 160, 165,
        173, 176, 178, 184, 186, 192, 196, 203, 104, 99, 98, 95, 94, 93, 91, 90,
        95, 96, 102, 103, 109, 112, 117, 122, 125, 133, 136, 145, 146, 156, 160,
        167, 174, 180, 184, 186, 193, 194, 201, 204, 108, 102, 101, 98, 97, 96,
        95, 93, 97, 100, 104, 106, 111, 113, 121, 122, 130, 132, 140, 143, 150,
        155, 162, 169, 174, 183, 188, 192, 194, 201, 202, 210, 111, 105, 105,
        101, 100, 99, 98, 96, 98, 103, 105, 109, 112, 117, 121, 125, 130, 135,
        141, 146, 152, 156, 165, 169, 178, 181, 193, 196, 201, 202, 210, 211,
        114, 109, 109, 104, 104, 102, 102, 99, 100, 106, 106, 113, 113, 120,
        121, 129, 130, 139, 140, 151, 151, 162, 162, 175, 176, 187, 188, 203,
        204, 210, 211, 219,
1113
        /* Size 4x8 */
1114 1115
        32, 42, 69, 88, 33, 42, 64, 83, 36, 56, 77, 88, 46, 67, 93, 105, 60, 79,
        112, 122, 75, 92, 130, 144, 86, 95, 136, 167, 98, 105, 136, 177,
1116
        /* Size 8x4 */
1117 1118
        32, 33, 36, 46, 60, 75, 86, 98, 42, 42, 56, 67, 79, 92, 95, 105, 69, 64,
        77, 93, 112, 130, 136, 136, 88, 83, 88, 105, 122, 144, 167, 177,
1119
        /* Size 8x16 */
1120 1121 1122 1123 1124 1125 1126 1127
        32, 32, 36, 47, 65, 79, 90, 96, 31, 32, 35, 44, 60, 72, 84, 90, 32, 34,
        36, 45, 59, 71, 80, 87, 32, 35, 40, 47, 60, 71, 78, 85, 36, 37, 48, 56,
        68, 78, 83, 87, 39, 40, 50, 60, 73, 84, 91, 94, 47, 45, 56, 69, 84, 95,
        101, 101, 53, 50, 60, 75, 92, 103, 108, 110, 61, 56, 65, 81, 100, 113,
        116, 118, 71, 64, 73, 89, 111, 125, 129, 129, 79, 70, 79, 95, 118, 133,
        142, 138, 86, 76, 84, 100, 124, 140, 153, 150, 92, 82, 89, 101, 121,
        148, 157, 161, 98, 88, 93, 108, 124, 141, 163, 174, 104, 94, 95, 110,
        129, 151, 171, 181, 110, 100, 98, 111, 127, 147, 169, 188,
1128
        /* Size 16x8 */
1129 1130 1131 1132 1133 1134 1135 1136
        32, 31, 32, 32, 36, 39, 47, 53, 61, 71, 79, 86, 92, 98, 104, 110, 32,
        32, 34, 35, 37, 40, 45, 50, 56, 64, 70, 76, 82, 88, 94, 100, 36, 35, 36,
        40, 48, 50, 56, 60, 65, 73, 79, 84, 89, 93, 95, 98, 47, 44, 45, 47, 56,
        60, 69, 75, 81, 89, 95, 100, 101, 108, 110, 111, 65, 60, 59, 60, 68, 73,
        84, 92, 100, 111, 118, 124, 121, 124, 129, 127, 79, 72, 71, 71, 78, 84,
        95, 103, 113, 125, 133, 140, 148, 141, 151, 147, 90, 84, 80, 78, 83, 91,
        101, 108, 116, 129, 142, 153, 157, 163, 171, 169, 96, 90, 87, 85, 87,
        94, 101, 110, 118, 129, 138, 150, 161, 174, 181, 188,
1137
        /* Size 16x32 */
1138 1139 1140 1141 1142 1143 1144 1145 1146 1147 1148 1149 1150 1151 1152 1153 1154 1155 1156 1157 1158 1159 1160 1161 1162 1163 1164 1165 1166 1167 1168 1169
        32, 31, 32, 32, 36, 44, 47, 53, 65, 73, 79, 87, 90, 93, 96, 99, 31, 32,
        32, 33, 35, 42, 45, 51, 62, 69, 75, 83, 86, 88, 91, 94, 31, 32, 32, 33,
        35, 41, 44, 49, 60, 67, 72, 80, 84, 87, 90, 94, 31, 32, 33, 33, 35, 41,
        44, 49, 59, 66, 71, 79, 82, 84, 87, 90, 32, 32, 34, 34, 36, 42, 45, 50,
        59, 65, 71, 78, 80, 83, 87, 90, 32, 33, 35, 36, 38, 42, 45, 49, 58, 64,
        69, 76, 80, 83, 86, 88, 32, 33, 35, 36, 40, 44, 47, 51, 60, 66, 71, 76,
        78, 81, 85, 89, 34, 34, 36, 38, 42, 48, 50, 54, 63, 69, 73, 80, 82, 81,
        84, 86, 36, 34, 37, 40, 48, 54, 56, 60, 68, 74, 78, 84, 83, 86, 87, 87,
        38, 36, 39, 41, 49, 56, 58, 63, 71, 77, 81, 86, 88, 88, 90, 93, 39, 37,
        40, 42, 50, 58, 60, 65, 73, 79, 84, 90, 91, 92, 94, 93, 44, 41, 42, 45,
        53, 63, 66, 71, 79, 85, 90, 96, 94, 96, 96, 99, 47, 44, 45, 47, 56, 66,
        69, 75, 84, 90, 95, 99, 101, 98, 101, 99, 49, 46, 47, 48, 57, 67, 71,
        77, 86, 93, 97, 103, 103, 105, 102, 106, 53, 49, 50, 51, 60, 71, 75, 82,
        92, 99, 103, 111, 108, 107, 110, 107, 58, 54, 54, 55, 63, 75, 79, 87,
        98, 105, 110, 114, 114, 113, 111, 115, 61, 56, 56, 57, 65, 77, 81, 89,
        100, 107, 113, 118, 116, 117, 118, 116, 65, 60, 59, 60, 68, 79, 84, 92,
        105, 112, 118, 126, 124, 122, 121, 124, 71, 65, 64, 65, 73, 84, 89, 97,
        111, 119, 125, 130, 129, 129, 129, 125, 76, 69, 68, 69, 76, 88, 92, 101,
        115, 123, 130, 134, 134, 131, 132, 135, 79, 72, 70, 71, 79, 90, 95, 104,
        118, 127, 133, 143, 142, 141, 138, 136, 82, 75, 73, 74, 81, 92, 97, 106,
        121, 130, 136, 146, 145, 144, 144, 145, 86, 78, 76, 77, 84, 95, 100,
        109, 124, 133, 140, 147, 153, 151, 150, 146, 89, 81, 79, 78, 87, 95, 99,
        112, 124, 130, 145, 152, 156, 157, 156, 158, 92, 84, 82, 80, 89, 95,
        101, 116, 121, 132, 148, 151, 157, 163, 161, 159, 95, 86, 85, 83, 92,
        95, 105, 114, 120, 136, 143, 155, 163, 167, 171, 170, 98, 89, 88, 85,
        93, 95, 108, 113, 124, 136, 141, 160, 163, 169, 174, 171, 101, 92, 91,
        88, 94, 98, 110, 112, 128, 133, 146, 158, 166, 175, 179, 185, 104, 95,
        94, 91, 95, 101, 110, 115, 129, 132, 151, 154, 171, 175, 181, 186, 107,
        98, 97, 94, 96, 105, 110, 119, 128, 136, 149, 156, 173, 177, 188, 192,
        110, 101, 100, 97, 98, 108, 111, 123, 127, 141, 147, 161, 169, 183, 188,
        193, 114, 104, 104, 100, 100, 111, 111, 126, 127, 145, 145, 166, 166,
        189, 190, 201,
1170
        /* Size 32x16 */
1171
        32, 31, 31, 31, 32, 32, 32, 34, 36, 38, 39, 44, 47, 49, 53, 58, 61, 65,
1172 1173 1174 1175 1176 1177 1178 1179 1180 1181 1182 1183 1184 1185 1186 1187 1188 1189 1190 1191 1192 1193 1194 1195 1196 1197 1198 1199 1200 1201 1202
        71, 76, 79, 82, 86, 89, 92, 95, 98, 101, 104, 107, 110, 114, 31, 32, 32,
        32, 32, 33, 33, 34, 34, 36, 37, 41, 44, 46, 49, 54, 56, 60, 65, 69, 72,
        75, 78, 81, 84, 86, 89, 92, 95, 98, 101, 104, 32, 32, 32, 33, 34, 35,
        35, 36, 37, 39, 40, 42, 45, 47, 50, 54, 56, 59, 64, 68, 70, 73, 76, 79,
        82, 85, 88, 91, 94, 97, 100, 104, 32, 33, 33, 33, 34, 36, 36, 38, 40,
        41, 42, 45, 47, 48, 51, 55, 57, 60, 65, 69, 71, 74, 77, 78, 80, 83, 85,
        88, 91, 94, 97, 100, 36, 35, 35, 35, 36, 38, 40, 42, 48, 49, 50, 53, 56,
        57, 60, 63, 65, 68, 73, 76, 79, 81, 84, 87, 89, 92, 93, 94, 95, 96, 98,
        100, 44, 42, 41, 41, 42, 42, 44, 48, 54, 56, 58, 63, 66, 67, 71, 75, 77,
        79, 84, 88, 90, 92, 95, 95, 95, 95, 95, 98, 101, 105, 108, 111, 47, 45,
        44, 44, 45, 45, 47, 50, 56, 58, 60, 66, 69, 71, 75, 79, 81, 84, 89, 92,
        95, 97, 100, 99, 101, 105, 108, 110, 110, 110, 111, 111, 53, 51, 49, 49,
        50, 49, 51, 54, 60, 63, 65, 71, 75, 77, 82, 87, 89, 92, 97, 101, 104,
        106, 109, 112, 116, 114, 113, 112, 115, 119, 123, 126, 65, 62, 60, 59,
        59, 58, 60, 63, 68, 71, 73, 79, 84, 86, 92, 98, 100, 105, 111, 115, 118,
        121, 124, 124, 121, 120, 124, 128, 129, 128, 127, 127, 73, 69, 67, 66,
        65, 64, 66, 69, 74, 77, 79, 85, 90, 93, 99, 105, 107, 112, 119, 123,
        127, 130, 133, 130, 132, 136, 136, 133, 132, 136, 141, 145, 79, 75, 72,
        71, 71, 69, 71, 73, 78, 81, 84, 90, 95, 97, 103, 110, 113, 118, 125,
        130, 133, 136, 140, 145, 148, 143, 141, 146, 151, 149, 147, 145, 87, 83,
        80, 79, 78, 76, 76, 80, 84, 86, 90, 96, 99, 103, 111, 114, 118, 126,
        130, 134, 143, 146, 147, 152, 151, 155, 160, 158, 154, 156, 161, 166,
        90, 86, 84, 82, 80, 80, 78, 82, 83, 88, 91, 94, 101, 103, 108, 114, 116,
        124, 129, 134, 142, 145, 153, 156, 157, 163, 163, 166, 171, 173, 169,
        166, 93, 88, 87, 84, 83, 83, 81, 81, 86, 88, 92, 96, 98, 105, 107, 113,
        117, 122, 129, 131, 141, 144, 151, 157, 163, 167, 169, 175, 175, 177,
        183, 189, 96, 91, 90, 87, 87, 86, 85, 84, 87, 90, 94, 96, 101, 102, 110,
        111, 118, 121, 129, 132, 138, 144, 150, 156, 161, 171, 174, 179, 181,
        188, 188, 190, 99, 94, 94, 90, 90, 88, 89, 86, 87, 93, 93, 99, 99, 106,
        107, 115, 116, 124, 125, 135, 136, 145, 146, 158, 159, 170, 171, 185,
        186, 192, 193, 201,
1203
        /* Size 4x16 */
1204 1205 1206 1207
        31, 44, 73, 93, 32, 41, 67, 87, 32, 42, 65, 83, 33, 44, 66, 81, 34, 54,
        74, 86, 37, 58, 79, 92, 44, 66, 90, 98, 49, 71, 99, 107, 56, 77, 107,
        117, 65, 84, 119, 129, 72, 90, 127, 141, 78, 95, 133, 151, 84, 95, 132,
        163, 89, 95, 136, 169, 95, 101, 132, 175, 101, 108, 141, 183,
1208
        /* Size 16x4 */
1209 1210 1211 1212
        31, 32, 32, 33, 34, 37, 44, 49, 56, 65, 72, 78, 84, 89, 95, 101, 44, 41,
        42, 44, 54, 58, 66, 71, 77, 84, 90, 95, 95, 95, 101, 108, 73, 67, 65,
        66, 74, 79, 90, 99, 107, 119, 127, 133, 132, 136, 132, 141, 93, 87, 83,
        81, 86, 92, 98, 107, 117, 129, 141, 151, 163, 169, 175, 183,
1213
        /* Size 8x32 */
1214 1215 1216 1217 1218 1219 1220 1221 1222 1223 1224 1225 1226 1227 1228 1229
        32, 32, 36, 47, 65, 79, 90, 96, 31, 32, 35, 45, 62, 75, 86, 91, 31, 32,
        35, 44, 60, 72, 84, 90, 31, 33, 35, 44, 59, 71, 82, 87, 32, 34, 36, 45,
        59, 71, 80, 87, 32, 35, 38, 45, 58, 69, 80, 86, 32, 35, 40, 47, 60, 71,
        78, 85, 34, 36, 42, 50, 63, 73, 82, 84, 36, 37, 48, 56, 68, 78, 83, 87,
        38, 39, 49, 58, 71, 81, 88, 90, 39, 40, 50, 60, 73, 84, 91, 94, 44, 42,
        53, 66, 79, 90, 94, 96, 47, 45, 56, 69, 84, 95, 101, 101, 49, 47, 57,
        71, 86, 97, 103, 102, 53, 50, 60, 75, 92, 103, 108, 110, 58, 54, 63, 79,
        98, 110, 114, 111, 61, 56, 65, 81, 100, 113, 116, 118, 65, 59, 68, 84,
        105, 118, 124, 121, 71, 64, 73, 89, 111, 125, 129, 129, 76, 68, 76, 92,
        115, 130, 134, 132, 79, 70, 79, 95, 118, 133, 142, 138, 82, 73, 81, 97,
        121, 136, 145, 144, 86, 76, 84, 100, 124, 140, 153, 150, 89, 79, 87, 99,
        124, 145, 156, 156, 92, 82, 89, 101, 121, 148, 157, 161, 95, 85, 92,
        105, 120, 143, 163, 171, 98, 88, 93, 108, 124, 141, 163, 174, 101, 91,
        94, 110, 128, 146, 166, 179, 104, 94, 95, 110, 129, 151, 171, 181, 107,
        97, 96, 110, 128, 149, 173, 188, 110, 100, 98, 111, 127, 147, 169, 188,
        114, 104, 100, 111, 127, 145, 166, 190,
1230
        /* Size 32x8 */
1231
        32, 31, 31, 31, 32, 32, 32, 34, 36, 38, 39, 44, 47, 49, 53, 58, 61, 65,
1232 1233 1234 1235 1236 1237 1238 1239 1240 1241 1242 1243 1244 1245 1246
        71, 76, 79, 82, 86, 89, 92, 95, 98, 101, 104, 107, 110, 114, 32, 32, 32,
        33, 34, 35, 35, 36, 37, 39, 40, 42, 45, 47, 50, 54, 56, 59, 64, 68, 70,
        73, 76, 79, 82, 85, 88, 91, 94, 97, 100, 104, 36, 35, 35, 35, 36, 38,
        40, 42, 48, 49, 50, 53, 56, 57, 60, 63, 65, 68, 73, 76, 79, 81, 84, 87,
        89, 92, 93, 94, 95, 96, 98, 100, 47, 45, 44, 44, 45, 45, 47, 50, 56, 58,
        60, 66, 69, 71, 75, 79, 81, 84, 89, 92, 95, 97, 100, 99, 101, 105, 108,
        110, 110, 110, 111, 111, 65, 62, 60, 59, 59, 58, 60, 63, 68, 71, 73, 79,
        84, 86, 92, 98, 100, 105, 111, 115, 118, 121, 124, 124, 121, 120, 124,
        128, 129, 128, 127, 127, 79, 75, 72, 71, 71, 69, 71, 73, 78, 81, 84, 90,
        95, 97, 103, 110, 113, 118, 125, 130, 133, 136, 140, 145, 148, 143, 141,
        146, 151, 149, 147, 145, 90, 86, 84, 82, 80, 80, 78, 82, 83, 88, 91, 94,
        101, 103, 108, 114, 116, 124, 129, 134, 142, 145, 153, 156, 157, 163,
        163, 166, 171, 173, 169, 166, 96, 91, 90, 87, 87, 86, 85, 84, 87, 90,
        94, 96, 101, 102, 110, 111, 118, 121, 129, 132, 138, 144, 150, 156, 161,
        171, 174, 179, 181, 188, 188, 190 },
1247 1248
      { /* Chroma */
        /* Size 4x4 */
1249
        33, 45, 56, 64, 45, 58, 66, 69, 56, 66, 86, 87, 64, 69, 87, 105,
1250
        /* Size 8x8 */
1251 1252 1253 1254
        31, 38, 47, 48, 54, 61, 66, 69, 38, 47, 47, 46, 50, 55, 61, 65, 47, 47,
        53, 55, 58, 63, 65, 66, 48, 46, 55, 62, 67, 72, 73, 73, 54, 50, 58, 67,
        76, 83, 84, 82, 61, 55, 63, 72, 83, 91, 92, 92, 66, 61, 65, 73, 84, 92,
        101, 103, 69, 65, 66, 73, 82, 92, 103, 109,
1255
        /* Size 16x16 */
1256 1257 1258 1259 1260 1261 1262 1263 1264 1265 1266 1267 1268 1269 1270
        32, 30, 33, 38, 49, 48, 50, 52, 55, 60, 63, 66, 68, 70, 72, 74, 30, 31,
        35, 41, 46, 46, 46, 48, 51, 55, 58, 60, 63, 65, 68, 70, 33, 35, 39, 44,
        47, 46, 46, 47, 50, 53, 56, 58, 60, 62, 65, 67, 38, 41, 44, 47, 49, 48,
        47, 48, 50, 53, 55, 58, 58, 60, 62, 65, 49, 46, 47, 49, 53, 53, 54, 54,
        56, 58, 60, 62, 62, 63, 64, 64, 48, 46, 46, 48, 53, 54, 56, 57, 59, 61,
        63, 65, 67, 66, 68, 68, 50, 46, 46, 47, 54, 56, 61, 63, 65, 68, 70, 72,
        71, 71, 72, 72, 52, 48, 47, 48, 54, 57, 63, 66, 69, 72, 75, 76, 75, 76,
        76, 76, 55, 51, 50, 50, 56, 59, 65, 69, 73, 77, 79, 81, 81, 81, 80, 80,
        60, 55, 53, 53, 58, 61, 68, 72, 77, 82, 85, 87, 87, 85, 84, 85, 63, 58,
        56, 55, 60, 63, 70, 75, 79, 85, 89, 91, 91, 90, 89, 90, 66, 60, 58, 58,
        62, 65, 72, 76, 81, 87, 91, 94, 96, 95, 95, 95, 68, 63, 60, 58, 62, 67,
        71, 75, 81, 87, 91, 96, 99, 100, 100, 100, 70, 65, 62, 60, 63, 66, 71,
        76, 81, 85, 90, 95, 100, 103, 104, 105, 72, 68, 65, 62, 64, 68, 72, 76,
        80, 84, 89, 95, 100, 104, 107, 108, 74, 70, 67, 65, 64, 68, 72, 76, 80,
        85, 90, 95, 100, 105, 108, 111,
1271
        /* Size 32x32 */
1272
        32, 31, 30, 31, 33, 36, 38, 41, 49, 49, 48, 49, 50, 51, 52, 54, 55, 57,
1273
        60, 62, 63, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 31, 31, 31, 32,
1274
        34, 38, 40, 42, 47, 47, 47, 47, 48, 48, 50, 52, 53, 54, 57, 59, 60, 61,
1275 1276 1277 1278 1279 1280
        63, 64, 65, 66, 67, 67, 68, 69, 70, 71, 30, 31, 31, 32, 35, 39, 41, 42,
        46, 46, 46, 45, 46, 47, 48, 50, 51, 52, 55, 57, 58, 59, 60, 62, 63, 64,
        65, 67, 68, 69, 70, 71, 31, 32, 32, 33, 36, 40, 41, 43, 46, 46, 45, 45,
        46, 46, 47, 49, 50, 51, 54, 56, 57, 58, 59, 61, 62, 63, 63, 64, 65, 66,
        67, 68, 33, 34, 35, 36, 39, 43, 44, 45, 47, 46, 46, 45, 46, 47, 47, 49,
        50, 51, 53, 55, 56, 57, 58, 59, 60, 61, 62, 63, 65, 66, 67, 68, 36, 38,
1281
        39, 40, 43, 47, 47, 47, 48, 47, 46, 45, 46, 46, 47, 48, 49, 50, 52, 53,
1282
        54, 55, 56, 58, 59, 61, 62, 63, 64, 65, 66, 66, 38, 40, 41, 41, 44, 47,
1283
        47, 48, 49, 48, 48, 47, 47, 47, 48, 49, 50, 51, 53, 54, 55, 56, 58, 58,
1284 1285 1286 1287
        58, 59, 60, 61, 62, 64, 65, 66, 41, 42, 42, 43, 45, 47, 48, 48, 50, 50,
        49, 49, 50, 50, 50, 52, 52, 53, 55, 56, 57, 58, 59, 60, 61, 61, 61, 61,
        62, 63, 63, 64, 49, 47, 46, 46, 47, 48, 49, 50, 53, 53, 53, 53, 54, 54,
        54, 55, 56, 56, 58, 59, 60, 61, 62, 63, 62, 62, 63, 64, 64, 64, 64, 64,
1288
        49, 47, 46, 46, 46, 47, 48, 50, 53, 53, 54, 55, 55, 55, 56, 57, 58, 58,
1289
        60, 61, 62, 63, 64, 64, 64, 65, 65, 65, 65, 66, 67, 68, 48, 47, 46, 45,
1290
        46, 46, 48, 49, 53, 54, 54, 55, 56, 56, 57, 58, 59, 60, 61, 63, 63, 64,
1291 1292 1293 1294 1295 1296
        65, 66, 67, 66, 66, 67, 68, 68, 68, 68, 49, 47, 45, 45, 45, 45, 47, 49,
        53, 55, 55, 58, 59, 60, 61, 62, 63, 63, 65, 66, 67, 68, 69, 69, 68, 68,
        69, 69, 69, 69, 70, 71, 50, 48, 46, 46, 46, 46, 47, 50, 54, 55, 56, 59,
        61, 61, 63, 64, 65, 66, 68, 69, 70, 71, 72, 71, 71, 72, 71, 71, 72, 72,
        72, 71, 51, 48, 47, 46, 47, 46, 47, 50, 54, 55, 56, 60, 61, 62, 64, 66,
        66, 67, 69, 70, 71, 72, 73, 73, 74, 73, 73, 74, 73, 73, 74, 75, 52, 50,
1297
        48, 47, 47, 47, 48, 50, 54, 56, 57, 61, 63, 64, 66, 68, 69, 70, 72, 74,
1298
        75, 75, 76, 77, 75, 76, 76, 75, 76, 77, 76, 75, 54, 52, 50, 49, 49, 48,
1299
        49, 52, 55, 57, 58, 62, 64, 66, 68, 71, 72, 73, 75, 77, 78, 79, 80, 78,
1300 1301 1302 1303
        79, 78, 77, 78, 78, 77, 78, 79, 55, 53, 51, 50, 50, 49, 50, 52, 56, 58,
        59, 63, 65, 66, 69, 72, 73, 74, 77, 78, 79, 80, 81, 81, 81, 80, 81, 80,
        80, 81, 80, 79, 57, 54, 52, 51, 51, 50, 51, 53, 56, 58, 60, 63, 66, 67,
        70, 73, 74, 76, 79, 80, 82, 83, 84, 85, 83, 84, 83, 83, 83, 82, 82, 83,
1304
        60, 57, 55, 54, 53, 52, 53, 55, 58, 60, 61, 65, 68, 69, 72, 75, 77, 79,
1305
        82, 84, 85, 86, 87, 86, 87, 85, 85, 85, 84, 86, 85, 84, 62, 59, 57, 56,
1306
        55, 53, 54, 56, 59, 61, 63, 66, 69, 70, 74, 77, 78, 80, 84, 86, 87, 88,
1307 1308 1309 1310 1311 1312 1313 1314 1315 1316 1317 1318 1319 1320 1321 1322 1323 1324 1325 1326 1327 1328 1329
        90, 89, 89, 88, 88, 87, 88, 87, 87, 88, 63, 60, 58, 57, 56, 54, 55, 57,
        60, 62, 63, 67, 70, 71, 75, 78, 79, 82, 85, 87, 89, 90, 91, 93, 91, 91,
        90, 91, 89, 90, 90, 89, 65, 61, 59, 58, 57, 55, 56, 58, 61, 63, 64, 68,
        71, 72, 75, 79, 80, 83, 86, 88, 90, 91, 93, 94, 95, 92, 94, 92, 93, 92,
        91, 93, 66, 63, 60, 59, 58, 56, 58, 59, 62, 64, 65, 69, 72, 73, 76, 80,
        81, 84, 87, 90, 91, 93, 94, 95, 96, 97, 95, 95, 95, 95, 95, 93, 67, 64,
        62, 61, 59, 58, 58, 60, 63, 64, 66, 69, 71, 73, 77, 78, 81, 85, 86, 89,
        93, 94, 95, 97, 97, 98, 99, 97, 97, 97, 96, 98, 68, 65, 63, 62, 60, 59,
        58, 61, 62, 64, 67, 68, 71, 74, 75, 79, 81, 83, 87, 89, 91, 95, 96, 97,
        99, 98, 100, 100, 100, 99, 100, 98, 69, 66, 64, 63, 61, 61, 59, 61, 62,
        65, 66, 68, 72, 73, 76, 78, 80, 84, 85, 88, 91, 92, 97, 98, 98, 101,
        100, 102, 102, 103, 101, 102, 70, 67, 65, 63, 62, 62, 60, 61, 63, 65,
        66, 69, 71, 73, 76, 77, 81, 83, 85, 88, 90, 94, 95, 99, 100, 100, 103,
        102, 104, 104, 105, 103, 71, 67, 67, 64, 63, 63, 61, 61, 64, 65, 67, 69,
        71, 74, 75, 78, 80, 83, 85, 87, 91, 92, 95, 97, 100, 102, 102, 105, 104,
        106, 106, 108, 72, 68, 68, 65, 65, 64, 62, 62, 64, 65, 68, 69, 72, 73,
        76, 78, 80, 83, 84, 88, 89, 93, 95, 97, 100, 102, 104, 104, 107, 106,
        108, 108, 73, 69, 69, 66, 66, 65, 64, 63, 64, 66, 68, 69, 72, 73, 77,
        77, 81, 82, 86, 87, 90, 92, 95, 97, 99, 103, 104, 106, 106, 109, 108,
        110, 74, 70, 70, 67, 67, 66, 65, 63, 64, 67, 68, 70, 72, 74, 76, 78, 80,
        82, 85, 87, 90, 91, 95, 96, 100, 101, 105, 106, 108, 108, 111, 110, 75,
        71, 71, 68, 68, 66, 66, 64, 64, 68, 68, 71, 71, 75, 75, 79, 79, 83, 84,
        88, 89, 93, 93, 98, 98, 102, 103, 108, 108, 110, 110, 113,
1330
        /* Size 4x8 */
1331 1332
        31, 47, 57, 65, 40, 45, 52, 61, 46, 55, 61, 63, 47, 60, 70, 72, 52, 64,
        79, 81, 59, 68, 87, 90, 63, 66, 88, 99, 66, 69, 85, 102,
1333
        /* Size 8x4 */
1334 1335
        31, 40, 46, 47, 52, 59, 63, 66, 47, 45, 55, 60, 64, 68, 66, 69, 57, 52,
        61, 70, 79, 87, 88, 85, 65, 61, 63, 72, 81, 90, 99, 102,
1336
        /* Size 8x16 */
1337 1338 1339 1340 1341 1342 1343 1344
        32, 35, 48, 50, 57, 63, 68, 70, 30, 38, 46, 46, 52, 58, 63, 65, 33, 41,
        47, 46, 51, 56, 60, 63, 39, 46, 48, 47, 51, 55, 58, 61, 49, 48, 53, 54,
        57, 60, 61, 61, 48, 46, 53, 56, 60, 64, 65, 65, 50, 46, 54, 61, 66, 70,
        71, 69, 52, 47, 54, 63, 71, 75, 75, 74, 55, 49, 56, 65, 74, 79, 79, 78,
        60, 53, 58, 68, 79, 85, 85, 82, 63, 55, 60, 70, 82, 89, 91, 87, 66, 58,
        62, 72, 84, 91, 95, 91, 68, 60, 64, 71, 81, 94, 97, 96, 70, 62, 65, 73,
        81, 89, 98, 101, 72, 65, 65, 72, 82, 92, 100, 103, 74, 67, 65, 71, 79,
        89, 98, 105,
1345
        /* Size 16x8 */
1346 1347 1348 1349 1350 1351 1352 1353
        32, 30, 33, 39, 49, 48, 50, 52, 55, 60, 63, 66, 68, 70, 72, 74, 35, 38,
        41, 46, 48, 46, 46, 47, 49, 53, 55, 58, 60, 62, 65, 67, 48, 46, 47, 48,
        53, 53, 54, 54, 56, 58, 60, 62, 64, 65, 65, 65, 50, 46, 46, 47, 54, 56,
        61, 63, 65, 68, 70, 72, 71, 73, 72, 71, 57, 52, 51, 51, 57, 60, 66, 71,
        74, 79, 82, 84, 81, 81, 82, 79, 63, 58, 56, 55, 60, 64, 70, 75, 79, 85,
        89, 91, 94, 89, 92, 89, 68, 63, 60, 58, 61, 65, 71, 75, 79, 85, 91, 95,
        97, 98, 100, 98, 70, 65, 63, 61, 61, 65, 69, 74, 78, 82, 87, 91, 96,
        101, 103, 105,
1354
        /* Size 16x32 */
1355 1356 1357 1358 1359 1360 1361 1362 1363 1364 1365 1366 1367 1368 1369 1370 1371 1372 1373 1374 1375 1376 1377 1378 1379 1380 1381 1382 1383
        32, 31, 35, 38, 48, 49, 50, 52, 57, 61, 63, 67, 68, 69, 70, 71, 31, 31,
        37, 40, 47, 47, 48, 50, 54, 57, 60, 63, 64, 65, 66, 67, 30, 32, 38, 40,
        46, 45, 46, 48, 52, 55, 58, 61, 63, 64, 65, 67, 31, 33, 38, 41, 46, 45,
        46, 48, 52, 55, 57, 60, 61, 62, 63, 64, 33, 36, 41, 44, 47, 46, 46, 47,
        51, 54, 56, 59, 60, 61, 63, 64, 37, 40, 45, 47, 47, 45, 46, 47, 50, 52,
        54, 57, 59, 61, 62, 62, 39, 41, 46, 47, 48, 47, 47, 48, 51, 54, 55, 57,
        58, 59, 61, 62, 42, 43, 46, 48, 50, 49, 50, 50, 53, 56, 57, 60, 60, 59,
        60, 60, 49, 46, 48, 49, 53, 53, 54, 54, 57, 59, 60, 63, 61, 62, 61, 61,
        48, 46, 47, 48, 53, 55, 55, 56, 58, 61, 62, 64, 64, 63, 63, 64, 48, 46,
        46, 48, 53, 56, 56, 57, 60, 62, 64, 66, 65, 65, 65, 64, 49, 45, 45, 47,
        53, 58, 59, 61, 64, 66, 67, 69, 67, 67, 66, 67, 50, 46, 46, 48, 54, 59,
        61, 63, 66, 68, 70, 71, 71, 68, 69, 67, 51, 47, 47, 48, 54, 60, 61, 64,
        68, 70, 71, 73, 72, 72, 70, 71, 52, 48, 47, 48, 54, 61, 63, 66, 71, 73,
        75, 77, 75, 73, 74, 71, 54, 50, 49, 50, 55, 62, 65, 68, 73, 76, 78, 79,
        78, 76, 74, 75, 55, 51, 49, 50, 56, 63, 65, 69, 74, 77, 79, 81, 79, 78,
        78, 75, 57, 52, 50, 51, 56, 64, 66, 70, 76, 79, 82, 85, 83, 81, 79, 79,
        60, 54, 53, 53, 58, 65, 68, 72, 79, 82, 85, 87, 85, 84, 82, 80, 62, 56,
        54, 55, 60, 66, 69, 74, 81, 84, 87, 88, 87, 85, 84, 84, 63, 57, 55, 56,
        60, 67, 70, 75, 82, 86, 89, 92, 91, 89, 87, 84, 64, 59, 56, 57, 61, 68,
        71, 75, 83, 87, 90, 93, 92, 90, 89, 89, 66, 60, 58, 58, 62, 69, 72, 76,
        84, 88, 91, 94, 95, 93, 91, 89, 67, 61, 59, 58, 63, 68, 71, 78, 83, 86,
        93, 96, 96, 96, 94, 94, 68, 62, 60, 59, 64, 67, 71, 79, 81, 86, 94, 95,
        97, 98, 96, 94, 69, 63, 61, 60, 65, 66, 72, 77, 80, 88, 91, 96, 99, 99,
        100, 98, 70, 64, 62, 60, 65, 66, 73, 76, 81, 87, 89, 97, 98, 100, 101,
        99, 71, 65, 64, 61, 65, 67, 73, 74, 82, 85, 90, 95, 99, 102, 103, 104,
        72, 65, 65, 62, 65, 68, 72, 75, 82, 83, 92, 93, 100, 102, 103, 104, 73,
        66, 66, 63, 65, 69, 72, 76, 81, 85, 90, 93, 100, 102, 105, 106, 74, 67,
        67, 64, 65, 70, 71, 77, 79, 86, 89, 94, 98, 103, 105, 106, 75, 68, 68,
        65, 65, 71, 71, 78, 78, 87, 87, 96, 96, 105, 105, 109,
1384
        /* Size 32x16 */
1385
        32, 31, 30, 31, 33, 37, 39, 42, 49, 48, 48, 49, 50, 51, 52, 54, 55, 57,
1386
        60, 62, 63, 64, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 31, 31, 32, 33,
1387
        36, 40, 41, 43, 46, 46, 46, 45, 46, 47, 48, 50, 51, 52, 54, 56, 57, 59,
1388 1389 1390 1391 1392 1393
        60, 61, 62, 63, 64, 65, 65, 66, 67, 68, 35, 37, 38, 38, 41, 45, 46, 46,
        48, 47, 46, 45, 46, 47, 47, 49, 49, 50, 53, 54, 55, 56, 58, 59, 60, 61,
        62, 64, 65, 66, 67, 68, 38, 40, 40, 41, 44, 47, 47, 48, 49, 48, 48, 47,
        48, 48, 48, 50, 50, 51, 53, 55, 56, 57, 58, 58, 59, 60, 60, 61, 62, 63,
        64, 65, 48, 47, 46, 46, 47, 47, 48, 50, 53, 53, 53, 53, 54, 54, 54, 55,
        56, 56, 58, 60, 60, 61, 62, 63, 64, 65, 65, 65, 65, 65, 65, 65, 49, 47,
1394
        45, 45, 46, 45, 47, 49, 53, 55, 56, 58, 59, 60, 61, 62, 63, 64, 65, 66,
1395
        67, 68, 69, 68, 67, 66, 66, 67, 68, 69, 70, 71, 50, 48, 46, 46, 46, 46,
1396
        47, 50, 54, 55, 56, 59, 61, 61, 63, 65, 65, 66, 68, 69, 70, 71, 72, 71,
1397 1398 1399 1400
        71, 72, 73, 73, 72, 72, 71, 71, 52, 50, 48, 48, 47, 47, 48, 50, 54, 56,
        57, 61, 63, 64, 66, 68, 69, 70, 72, 74, 75, 75, 76, 78, 79, 77, 76, 74,
        75, 76, 77, 78, 57, 54, 52, 52, 51, 50, 51, 53, 57, 58, 60, 64, 66, 68,
        71, 73, 74, 76, 79, 81, 82, 83, 84, 83, 81, 80, 81, 82, 82, 81, 79, 78,
1401
        61, 57, 55, 55, 54, 52, 54, 56, 59, 61, 62, 66, 68, 70, 73, 76, 77, 79,
1402
        82, 84, 86, 87, 88, 86, 86, 88, 87, 85, 83, 85, 86, 87, 63, 60, 58, 57,
1403
        56, 54, 55, 57, 60, 62, 64, 67, 70, 71, 75, 78, 79, 82, 85, 87, 89, 90,