path: root/src/H_4096_8192_3d.c

/*
  FILE....: H_4096_8192_3d.c

  Static arrays for LDPC codec H_4096_8192_3d, generated by ldpc_gen_c_h_file.m.
*/

#include "H_4096_8192_3d.h"

#include <stdint.h>

const uint16_t H_4096_8192_3d_H_rows[] = {
    68,   31,   76,   127,  68,   376,  36,   1118, 15,   68,   436,  58,
    375,  32,   320,  150,  266,  2,    436,  191,  79,   52,   2109, 249,
    340,  288,  258,  462,  2891, 21,   255,  24,   79,   167,  96,   86,
    94,   16,   377,  163,  101,  477,  246,  60,   337,  217,  474,  53,
    54,   16,   5,    1591, 124,  1740, 214,  1309, 427,  171,  23,   477,
    202,  484,  185,  57,   33,   109,  1326, 392,  1507, 81,   415,  93,
    810,  317,  52,   162,  425,  416,  146,  319,  110,  273,  170,  254,
    119,  242,  147,  126,  413,  154,  287,  499,  91,   72,   1502, 104,
    189,  235,  263,  312,  124,  71,   141,  769,  887,  132,  101,  390,
    466,  641,  382,  393,  515,  139,  281,  157,  229,  266,  64,   112,
    60,   280,  966,  1296, 248,  331,  56,   267,  50,   155,  982,  492,
    906,  326,  78,   227,  374,  21,   429,  113,  491,  237,  252,  451,
    101,  440,  7,    147,  373,  96,   678,  186,  311,  29,   448,  2335,
    114,  212,  352,  367,  147,  82,   320,  300,  370,  132,  235,  255,
    487,  101,  533,  379,  29,   352,  82,   41,   78,   181,  174,  1629,
    104,  319,  23,   86,   187,  440,  571,  999,  114,  596,  587,  838,
    333,  389,  139,  1006, 454,  699,  65,   309,  1187, 377,  31,   173,
    189,  310,  536,  250,  4,    1516, 6,    41,   14,   49,   319,  378,
    118,  3108, 175,  150,  107,  286,  167,  61,   594,  294,  13,   477,
    2038, 124,  204,  1027, 245,  819,  159,  84,   153,  71,   38,   419,
    574,  211,  290,  6,    886,  1,    1248, 183,  272,  470,  312,  115,
    6,    264,  242,  2054, 7,    609,  74,   690,  2641, 434,  137,  265,
    996,  9,    417,  192,  102,  22,   20,   1021, 299,  246,  207,  1678,
    827,  357,  9,    169,  37,   153,  433,  51,   5,    44,   416,  406,
    117,  165,  36,   178,  2887, 238,  2369, 98,   311,  1348, 855,  215,
    1469, 605,  135,  987,  88,   244,  580,  2043, 164,  415,  372,  126,
    237,  116,  236,  181,  99,   224,  154,  1191, 317,  2031, 835,  306,
    200,  8,    15,   195,  176,  1658, 1072, 161,  341,  412,  291,  104,
    2812, 180,  1587, 161,  147,  368,  411,  21,   1246, 457,  335,  24,
    1258, 342,  1453, 136,  84,   104,  191,  152,  144,  333,  165,  6,
    130,  370,  57,   54,   1302, 277,  53,   80,   18,   230,  122,  217,
    21,   424,  184,  296,  1880, 827,  859,  2275, 42,   313,  1443, 354,
    170,  110,  724,  264,  206,  17,   57,   354,  97,   43,   354,  321,
    70,   471,  74,   1124, 425,  21,   35,   56,   382,  126,  168,  382,
    132,  16,   152,  218,  483,  20,   3,    45,   503,  283,  357,  68,
    495,  41,   124,  13,   14,   18,   285,  364,  291,  20,   92,   141,
    349,  35,   354,  5,    222,  1080, 390,  113,  136,  181,  77,   235,
    61,   2,    209,  73,   17,   10,   75,   10,   95,   99,   131,  468,
    369,  94,   11,   278,  381,  228,  62,   106,  62,   79,   171,  35,
    369,  3,    131,  222,  315,  336,  92,   49,   390,  2159, 1724, 80,
    110,  27,   132,  3428, 328,  199,  112,  1267, 2731, 478,  776,  275,
    60,   147,  1193, 388,  49,   25,   208,  1583, 364,  41,   192,  202,
    100,  631,  210,  946,  35,   226,  159,  120,  866,  28,   149,  143,
    2881, 171,  369,  66,   88,   1476, 290,  425,  950,  1200, 2139, 229,
    272,  112,  324,  108,  892,  122,  105,  190,  52,   7,    239,  84,
    179,  2273, 99,   20,   352,  322,  264,  288,  4,    232,  127,  231,
    361,  446,  230,  247,  243,  17,   146,  1115, 31,   410,  111,  55,
    380,  157,  355,  90,   358,  343,  1062, 251,  145,  219,  497,  263,
    400,  1533, 72,   763,  1297, 2,    461,  163,  301,  276,  352,  434,
    251,  205,  44,   39,   336,  610,  65,   165,  401,  444,  73,   373,
    224,  109,  254,  452,  184,  177,  40,   221,  2,    92,   333,  1285,
    76,   210,  59,   250,  3155, 291,  185,  271,  1009, 265,  216,  19,
    34,   135,  216,  2352, 10,   1498, 228,  418,  2332, 11,   1639, 623,
    20,   691,  1838, 140,  159,  280,  149,  36,   326,  1983, 32,   453,
    261,  287,  202,  486,  57,   873,  182,  821,  17,   181,  385,  99,
    3134, 47,   86,   282,  106,  63,   548,  226,  98,   283,  169,  306,
    95,   87,   305,  367,  324,  2118, 75,   179,  164,  410,  81,   313,
    37,   263,  337,  3044, 3043, 486,  206,  743,  348,  2588, 2127, 1666,
    90,   183,  52,   302,  193,  52,   315,  191,  123,  14,   20,   479,
    197,  2,    98,   2074, 144,  140,  129,  1064, 348,  203,  379,  293,
    56,   317,  468,  413,  458,  305,  19,   85,   427,  272,  181,  324,
    1120, 179,  137,  11,   54,   1473, 246,  566,  457,  46,   126,  38,
    3204, 805,  80,   1693, 8,    2971, 1140, 69,   680,  254,  15,   163,
    234,  28,   212,  349,  65,   133,  1199, 276,  2756, 64,   157,  21,
    145,  125,  100,  792,  2192, 95,   611,  262,  32,   64,   76,   314,
    58,   106,  127,  45,   1214, 603,  14,   546,  265,  414,  79,   2488,
    2165, 16,   179,  47,   302,  45,   261,  153,  106,  460,  204,  174,
    100,  260,  2071, 391,  338,  94,   654,  415,  692,  216,  161,  42,
    369,  334,  91,   48,   43,   142,  441,  356,  22,   464,  208,  18,
    205,  430,  124,  56,   731,  254,  459,  346,  1900, 160,  96,   73,
    41,   360,  138,  314,  523,  9,    129,  466,  434,  184,  143,  100,
    935,  86,   2755, 37,   2737, 165,  2371, 242,  202,  780,  288,  2690,
    37,   28,   568,  275,  278,  89,   146,  449,  113,  721,  464,  300,
    19,   541,  84,   291,  157,  145,  141,  494,  661,  2455, 66,   42,
    370,  2187, 119,  248,  443,  81,   88,   175,  436,  320,  410,  234,
    14,   106,  277,  170,  99,   379,  281,  8,    141,  51,   174,  367,
    72,   251,  102,  1008, 335,  49,   407,  299,  307,  290,  614,  108,
    406,  186,  978,  1511, 169,  64,   423,  1737, 384,  200,  42,   89,
    301,  386,  34,   2076, 266,  4,    426,  630,  371,  277,  59,   5,
    28,   190,  1999, 542,  316,  5,    141,  399,  178,  87,   214,  402,
    2179, 58,   1961, 37,   322,  1681, 11,   223,  52,   131,  414,  129,
    252,  37,   365,  76,   450,  651,  76,   363,  169,  43,   351,  307,
    214,  42,   291,  149,  1970, 77,   48,   209,  286,  1664, 749,  1750,
    55,   339,  2340, 231,  8,    1674, 356,  54,   115,  328,  124,  162,
    66,   154,  123,  41,   143,  8,    179,  261,  293,  125,  422,  401,
    10,   98,   193,  143,  125,  16,   30,   1399, 174,  276,  213,  2314,
    147,  308,  198,  90,   71,   567,  185,  128,  487,  300,  548,  256,
    163,  2087, 565,  111,  529,  393,  270,  172,  136,  292,  2158, 206,
    83,   456,  121,  57,   4,    106,  50,   203,  996,  219,  77,   99,
    69,   2711, 197,  43,   2206, 60,   33,   3799, 224,  96,   517,  307,
    394,  1547, 229,  8,    1549, 492,  107,  809,  193,  225,  483,  1487,
    1523, 2095, 18,   119,  76,   31,   1716, 88,   77,   301,  479,  187,
    1289, 97,   19,   51,   366,  523,  99,   234,  355,  252,  176,  38,
    403,  105,  12,   456,  1651, 3161, 374,  383,  225,  13,   394,  492,
    82,   781,  1,    224,  98,   40,   58,   147,  9,    432,  75,   425,
    100,  74,   8,    69,   88,   1251, 1606, 282,  289,  193,  338,  131,
    211,  51,   7,    373,  2615, 938,  2,    38,   195,  13,   14,   341,
    168,  85,   213,  432,  33,   153,  147,  2876, 13,   1016, 38,   213,
    52,   194,  281,  2275, 279,  107,  117,  637,  312,  436,  1051, 16,
    4,    181,  239,  266,  1874, 1568, 300,  1116, 27,   65,   8,    143,
    197,  92,   223,  112,  121,  19,   70,   103,  366,  136,  1162, 683,
    19,   1396, 24,   598,  206,  59,   343,  381,  96,   217,  381,  1049,
    134,  372,  407,  21,   145,  58,   70,   92,   155,  776,  18,   323,
    66,   752,  103,  202,  473,  612,  6,    455,  52,   648,  70,   123,
    10,   9,    48,   25,   265,  306,  258,  229,  3,    1798, 308,  165,
    1,    207,  945,  213,  12,   112,  491,  845,  117,  147,  645,  1359,
    191,  97,   14,   1043, 7,    21,   141,  70,   340,  204,  406,  314,
    2625, 26,   420,  90,   244,  262,  85,   3219, 38,   279,  222,  4,
    115,  484,  71,   285,  228,  35,   734,  1307, 109,  178,  252,  120,
    135,  499,  131,  51,   128,  380,  256,  784,  270,  306,  251,  397,
    812,  22,   43,   40,   1351, 286,  79,   215,  57,   34,   1110, 951,
    129,  150,  286,  243,  138,  63,   2306, 426,  285,  2206, 207,  1313,
    2023, 197,  230,  1564, 128,  182,  350,  19,   66,   201,  17,   493,
    94,   67,   64,   176,  435,  1861, 206,  701,  748,  77,   386,  96,
    83,   476,  134,  1204, 365,  1010, 1972, 514,  2015, 210,  266,  167,
    166,  117,  9,    176,  26,   1887, 59,   469,  71,   432,  194,  455,
    243,  1498, 41,   1551, 156,  2340, 128,  1395, 201,  114,  99,   384,
    31,   144,  168,  33,   75,   365,  302,  420,  168,  317,  61,   107,
    211,  1282, 101,  376,  1281, 405,  179,  2145, 175,  142,  718,  12,
    1091, 50,   170,  116,  160,  1669, 48,   178,  371,  464,  376,  1244,
    2357, 295,  103,  15,   2401, 47,   408,  246,  2583, 292,  444,  1117,
    1057, 399,  424,  280,  95,   869,  30,   350,  316,  186,  63,   323,
    143,  432,  221,  48,   346,  107,  76,   106,  311,  64,   404,  2101,
    1063, 88,   232,  427,  42,   49,   145,  109,  163,  78,   1974, 82,
    45,   434,  18,   13,   404,  774,  857,  126,  297,  809,  187,  109,
    1315, 277,  280,  245,  115,  205,  171,  1012, 24,   83,   446,  52,
    1575, 144,  67,   72,   832,  144,  1086, 4,    432,  50,   860,  2999,
    56,   140,  201,  17,   55,   112,  77,   275,  55,   460,  498,  371,
    138,  494,  20,   390,  357,  2000, 353,  262,  115,  118,  164,  61,
    461,  564,  187,  84,   472,  627,  461,  215,  1058, 342,  208,  1170,
    131,  173,  20,   12,   150,  337,  118,  46,   407,  207,  306,  33,
    138,  482,  188,  153,  53,   172,  72,   10,   369,  87,   818,  111,
    2183, 175,  482,  123,  15,   19,   177,  50,   383,  362,  2492, 23,
    967,  311,  254,  146,  25,   268,  22,   120,  7,    202,  54,   33,
    257,  499,  3615, 379,  78,   430,  1811, 1206, 198,  80,   34,   55,
    2265, 396,  144,  613,  92,   421,  267,  2173, 936,  166,  60,   2396,
    9,    117,  83,   134,  906,  37,   142,  2164, 441,  149,  727,  1733,
    133,  1727, 135,  237,  61,   12,   208,  45,   154,  287,  238,  259,
    221,  102,  1837, 273,  456,  488,  674,  93,   2572, 182,  153,  22,
    510,  158,  420,  12,   896,  698,  2057, 1698, 298,  152,  907,  149,
    480,  115,  496,  766,  660,  160,  146,  359,  159,  211,  178,  197,
    16,   182,  226,  260,  1227, 266,  1377, 113,  138,  35,   157,  3023,
    1145, 389,  248,  353,  3411, 249,  70,   255,  2302, 1083, 229,  23,
    1207, 41,   316,  765,  126,  2232, 1769, 315,  2182, 478,  433,  380,
    58,   1119, 71,   100,  16,   175,  43,   3467, 146,  439,  79,   90,
    2310, 377,  184,  353,  963,  1435, 18,   21,   51,   1466, 105,  71,
    68,   27,   115,  334,  497,  166,  83,   278,  175,  139,  93,   77,
    93,   59,   213,  100,  1038, 411,  495,  290,  279,  201,  182,  46,
    257,  476,  33,   212,  263,  1473, 90,   33,   202,  772,  68,   490,
    103,  152,  534,  136,  26,   101,  1129, 704,  1733, 104,  279,  482,
    316,  82,   232,  361,  330,  162,  16,   336,  171,  2490, 14,   449,
    24,   41,   2507, 196,  4,    771,  357,  111,  10,   370,  3087, 238,
    140,  1906, 1379, 146,  1255, 116,  25,   331,  20,   130,  57,   308,
    161,  64,   259,  475,  82,   51,   363,  221,  123,  424,  161,  191,
    243,  82,   818,  306,  274,  1273, 2366, 340,  77,   544,  2445, 545,
    337,  405,  32,   302,  114,  13,   134,  81,   59,   423,  392,  78,
    118,  209,  398,  282,  163,  56,   156,  82,   465,  1318, 470,  795,
    168,  271,  247,  730,  336,  401,  251,  267,  1259, 132,  2256, 84,
    253,  160,  115,  384,  49,   72,   434,  17,   134,  133,  128,  209,
    19,   262,  220,  259,  712,  155,  99,   31,   720,  3,    237,  62,
    42,   1345, 453,  186,  195,  751,  202,  177,  49,   1591, 2409, 298,
    4,    50,   346,  311,  13,   21,   39,   903,  146,  262,  147,  138,
    30,   312,  45,   1199, 244,  1055, 2862, 1228, 440,  9,    236,  39,
    18,   216,  396,  98,   1654, 32,   172,  1,    3126, 88,   495,  81,
    1745, 284,  349,  70,   3072, 214,  131,  495,  1718, 558,  74,   35,
    126,  125,  240,  59,   333,  826,  107,  241,  267,  431,  118,  26,
    520,  388,  642,  118,  27,   119,  121,  32,   54,   224,  807,  360,
    389,  1440, 233,  80,   171,  236,  43,   3133, 69,   1500, 137,  206,
    149,  91,   236,  222,  1926, 1738, 447,  34,   276,  387,  457,  2558,
    135,  410,  97,   331,  1815, 13,   302,  228,  15,   176,  54,   773,
    2167, 158,  166,  167,  438,  78,   63,   2345, 24,   74,   364,  1047,
    426,  178,  6,    216,  85,   507,  1594, 189,  179,  439,  47,   65,
    371,  44,   130,  1062, 12,   795,  527,  745,  15,   17,   158,  208,
    1001, 223,  922,  250,  23,   1477, 366,  347,  258,  819,  307,  169,
    418,  312,  119,  22,   24,   42,   55,   803,  127,  190,  208,  7,
    488,  427,  1173, 212,  32,   63,   255,  120,  71,   93,   130,  720,
    143,  72,   2043, 204,  51,   1202, 1436, 40,   797,  699,  2823, 181,
    357,  478,  407,  83,   186,  322,  122,  111,  5,    661,  27,   2500,
    108,  35,   492,  201,  139,  508,  1141, 2216, 37,   321,  54,   1807,
    467,  246,  1195, 57,   133,  1696, 125,  104,  220,  279,  1363, 564,
    86,   171,  30,   166,  1521, 842,  1390, 420,  439,  197,  148,  322,
    27,   1085, 1708, 294,  353,  194,  225,  812,  220,  95,   10,   408,
    61,   25,   205,  2584, 248,  71,   6,    53,   429,  5,    214,  267,
    67,   63,   90,   379,  184,  163,  28,   1357, 337,  339,  306,  360,
    2898, 1620, 26,   180,  67,   193,  238,  152,  366,  190,  208,  169,
    211,  200,  191,  960,  236,  204,  479,  174,  595,  86,   256,  15,
    69,   441,  274,  489,  3194, 22,   1070, 11,   87,   811,  647,  213,
    2751, 310,  854,  2167, 438,  1327, 59,   130,  173,  138,  140,  243,
    7,    301,  205,  103,  293,  283,  89,   325,  339,  447,  268,  154,
    485,  6,    281,  1009, 80,   1139, 118,  873,  47,   59,   339,  76,
    132,  315,  25,   57,   1153, 284,  49,   29,   274,  2,    133,  381,
    316,  22,   1175, 1189, 74,   23,   126,  42,   1,    24,   365,  1260,
    137,  464,  638,  336,  449,  452,  231,  121,  259,  1421, 72,   191,
    133,  34,   15,   49,   1176, 447,  24,   50,   333,  1046, 175,  2344,
    193,  225,  102,  85,   395,  299,  533,  124,  62,   169,  450,  899,
    11,   138,  200,  251,  42,   229,  61,   194,  2177, 16,   344,  226,
    114,  465,  2723, 65,   16,   20,   350,  93,   196,  197,  1639, 241,
    23,   57,   1700, 2291, 65,   279,  234,  307,  95,   75,   10,   106,
    302,  443,  108,  105,  1337, 800,  18,   220,  288,  150,  76,   40,
    151,  78,   475,  74,   113,  196,  150,  73,   117,  1039, 325,  2,
    707,  176,  69,   20,   306,  175,  48,   249,  377,  44,   227,  597,
    32,   150,  3,    247,  413,  1488, 192,  271,  335,  1004, 258,  66,
    32,   24,   302,  11,   30,   321,  252,  84,   329,  171,  418,  384,
    171,  297,  2787, 2109, 853,  84,   11,   417,  429,  86,   40,   2484,
    36,   103,  40,   2833, 259,  38,   110,  680,  417,  191,  329,  137,
    193,  2,    2942, 289,  145,  444,  460,  196,  1015, 95,   327,  445,
    259,  440,  236,  79,   125,  28,   37,   141,  37,   9,    200,  40,
    7,    12,   95,   142,  319,  321,  193,  303,  331,  198,  220,  97,
    321,  364,  468,  18,   241,  1286, 59,   2066, 226,  391,  2581, 580,
    334,  267,  68,   1032, 73,   70,   257,  151,  81,   170,  261,  391,
    48,   82,   514,  15,   46,   305,  965,  213,  75,   403,  233,  373,
    1352, 220,  262,  386,  399,  341,  82,   276,  112,  245,  116,  168,
    246,  1612, 160,  88,   157,  199,  73,   79,   3,    18,   246,  39,
    1034, 104,  1664, 114,  336,  316,  139,  93,   50,   145,  55,   30,
    180,  139,  201,  71,   263,  1378, 176,  269,  39,   145,  272,  111,
    499,  49,   196,  530,  743,  308,  42,   1157, 349,  121,  258,  64,
    46,   433,  31,   573,  28,   300,  82,   1881, 2689, 160,  53,   109,
    325,  50,   286,  123,  142,  36,   15,   28,   2022, 35,   912,  112,
    368,  393,  441,  12,   130,  19,   108,  69,   1311, 74,   921,  408,
    68,   860,  249,  120,  50,   180,  190,  252,  733,  315,  127,  7,
    297,  116,  157,  179,  41,   148,  110,  329,  400,  86,   63,   192,
    301,  175,  31,   242,  30,   3,    123,  189,  44,   115,  174,  39,
    488,  155,  494,  769,  307,  101,  3,    3129, 26,   403,  66,   1212,
    35,   1711, 444,  1824, 231,  20,   188,  215,  84,   2247, 95,   1347,
    43,   2646, 79,   2255, 2533, 864,  787,  85,   290,  39,   183,  149,
    1997, 187,  484,  419,  986,  3577, 421,  437,  175,  117,  96,   41,
    234,  241,  485,  646,  447,  5,    174,  167,  129,  250,  355,  102,
    8,    75,   29,   2246, 1574, 2318, 53,   23,   19,   173,  67,   58,
    342,  297,  389,  44,   195,  335,  381,  163,  412,  348,  235,  877,
    231,  929,  406,  6,    371,  282,  121,  39,   1208, 86,   105,  336,
    46,   186,  1827, 390,  181,  145,  22,   240,  419,  89,   178,  327,
    136,  2943, 26,   184,  189,  48,   792,  93,   207,  119,  392,  1605,
    96,   62,   45,   367,  589,  274,  45,   1344, 36,   762,  214,  252,
    198,  261,  67,   198,  1942, 50,   1403, 105,  138,  2309, 933,  320,
    295,  101,  1147, 74,   361,  325,  301,  161,  491,  470,  447,  1767,
    144,  305,  1350, 128,  430,  164,  243,  465,  451,  221,  128,  233,
    144,  294,  11,   19,   111,  253,  77,   198,  196,  248,  395,  257,
    58,   332,  166,  129,  256,  53,   93,   185,  261,  319,  1780, 97,
    130,  13,   1430, 131,  133,  139,  282,  502,  302,  947,  256,  143,
    55,   56,   3,    1457, 133,  162,  512,  170,  29,   6,    118,  556,
    151,  426,  4,    76,   83,   116,  58,   55,   724,  64,   186,  323,
    1656, 619,  68,   195,  3178, 80,   36,   420,  31,   227,  173,  368,
    122,  174,  168,  49,   108,  60,   239,  258,  280,  8,    1688, 177,
    208,  308,  143,  1126, 494,  412,  232,  739,  46,   155,  129,  57,
    198,  254,  223,  1442, 111,  258,  230,  228,  255,  269,  404,  236,
    1227, 1,    35,   1372, 207,  271,  257,  362,  1697, 16,   311,  384,
    26,   245,  340,  611,  81,   659,  210,  67,   398,  107,  825,  178,
    116,  346,  65,   151,  463,  485,  214,  90,   51,   47,   233,  48,
    30,   33,   485,  451,  396,  244,  423,  351,  85,   226,  56,   231,
    75,   47,   1959, 291,  3,    363,  103,  155,  87,   424,  1414, 400,
    336,  345,  493,  203,  109,  444,  1456, 5,    2138, 1737, 252,  189,
    278,  348,  64,   2736, 823,  171,  409,  204,  1371, 579,  1707, 214,
    154,  38,   150,  124,  113,  132,  239,  86,   242,  61,   254,  516,
    1464, 393,  242,  167,  18,   177,  221,  62,   302,  1175, 347,  1953,
    94,   351,  312,  648,  815,  118,  170,  50,   61,   295,  1386, 210,
    313,  149,  71,   238,  95,   1210, 531,  65,   34,   111,  1076, 94,
    217,  49,   66,   44,   25,   150,  11,   2487, 26,   43,   283,  177,
    155,  83,   1022, 149,  266,  158,  134,  898,  94,   205,  700,  172,
    1897, 247,  168,  480,  338,  425,  260,  55,   235,  29,   33,   28,
    95,   1260, 360,  529,  98,   2793, 326,  176,  290,  478,  387,  93,
    435,  296,  474,  481,  38,   1018, 116,  794,  1538, 281,  1078, 274,
    357,  205,  180,  383,  27,   266,  264,  67,   8,    62,   30,   58,
    109,  297,  263,  1013, 16,   198,  33,   343,  674,  212,  60,   500,
    2263, 129,  284,  480,  172,  52,   88,   148,  442,  31,   1561, 682,
    210,  320,  210,  1042, 398,  189,  138,  375,  76,   183,  165,  239,
    74,   407,  237,  484,  473,  468,  38,   294,  1412, 325,  6,    191,
    238,  133,  1218, 25,   643,  328,  182,  451,  854,  169,  209,  217,
    337,  2360, 1527, 197,  298,  490,  187,  27,   80,   528,  410,  49,
    126,  144,  496,  129,  1341, 482,  2042, 210,  187,  788,  174,  192,
    380,  472,  462,  1414, 162,  127,  237,  140,  146,  153,  551,  235,
    574,  142,  2004, 1579, 147,  1891, 1034, 372,  102,  15,   58,   341,
    228,  108,  91,   10,   1814, 400,  81,   124,  72,   125,  442,  391,
    261,  1193, 50,   79,   48,   28,   171,  103,  828,  161,  164,  513,
    147,  154,  196,  888,  17,   54,   441,  369,  3,    1424, 102,  1683,
    468,  1221, 185,  14,   55,   159,  90,   122,  323,  286,  263,  15,
    253,  110,  123,  2489, 109,  346,  363,  89,   6,    126,  75,   21,
    28,   443,  172,  293,  294,  299,  1787, 94,   177,  94,   377,  161,
    64,   104,  1631, 225,  12,   1205, 1454, 997,  229,  1972, 35,   258,
    339,  178,  81,   334,  46,   345,  283,  165,  39,   339,  90,   61,
    958,  44,   97,   232,  149,  349,  360,  598,  193,  53,   313,  5,
    51,   201,  277,  55,   250,  268,  399,  264,  1305, 116,  497,  67,
    374,  56,   464,  502,  25,   325,  745,  445,  11,   298,  1089, 1126,
    2482, 3187, 448,  253,  344,  470,  51,   104,  439,  89,   38,   32,
    2004, 271,  183,  29,   846,  64,   120,  316,  124,  45,   378,  119,
    51,   121,  120,  791,  12,   1165, 376,  214,  1105, 77,   310,  34,
    63,   207,  54,   2,    481,  247,  94,   1841, 2890, 349,  24,   2398,
    2665, 56,   8,    825,  303,  403,  234,  261,  1735, 152,  463,  87,
    32,   870,  115,  347,  44,   4,    258,  134,  110,  118,  483,  135,
    48,   227,  105,  289,  171,  69,   93,   115,  2837, 618,  402,  230,
    186,  27,   395,  45,   287,  120,  474,  326,  198,  420,  185,  136,
    1402, 194,  1048, 245,  269,  127,  169,  156,  657,  44,   393,  799,
    84,   1081, 9,    898,  327,  317,  1089, 340,  362,  214,  153,  246,
    2124, 437,  69,   822,  59,   200,  323,  189,  122,  215,  419,  44,
    114,  77,   361,  44,   101,  798,  36,   222,  259,  2254, 25,   380,
    2687, 899,  5,    31,   175,  259,  60,   344,  148,  140,  190,  45,
    2476, 375,  188,  526,  68,   96,   151,  143,  22,   63,   112,  96,
    273,  9,    107,  160,  2366, 301,  220,  423,  1803, 3,    352,  1418,
    1703, 31,   230,  6,    348,  246,  9,    72,   105,  46,   67,   68,
    152,  300,  362,  1502, 253,  753,  39,   379,  223,  2454, 264,  1999,
    350,  145,  324,  195,  92,   439,  337,  53,   121,  187,  117,  1006,
    54,   280,  276,  454,  26,   416,  1634, 32,   1288, 20,   149,  377,
    255,  131,  434,  1554, 75,   411,  489,  258,  69,   84,   3596, 211,
    231,  91,   200,  238,  62,   266,  919,  413,  154,  97,   453,  27,
    1439, 341,  218,  338,  123,  240,  405,  323,  330,  327,  123,  162,
    411,  240,  217,  337,  146,  358,  53,   97,   575,  233,  253,  221,
    437,  327,  2114, 3,    469,  1395, 3251, 13,   33,   162,  3013, 2132,
    1870, 122,  836,  40,   60,   24,   477,  292,  326,  9,    44,   186,
    352,  25,   284,  593,  1085, 201,  34,   1050, 297,  460,  288,  453,
    179,  900,  128,  221,  117,  139,  204,  249,  413,  1640, 335,  421,
    76,   122,  1417, 200,  534,  19,   135,  101,  426,  223,  746,  1094,
    490,  177,  890,  240,  664,  58,   12,   172,  270,  113,  81,   13,
    1044, 2216, 78,   294,  155,  17,   167,  288,  1757, 2,    39,   1238,
    498,  208,  1221, 390,  288,  193,  98,   178,  42,   259,  148,  122,
    28,   10,   231,  213,  11,   29,   58,   29,   1997, 407,  225,  265,
    236,  189,  57,   191,  82,   342,  22,   1390, 143,  2321, 47,   60,
    7,    14,   30,   102,  215,  5,    204,  85,   265,  31,   223,  2316,
    153,  62,   347,  1584, 107,  98,   185,  174,  452,  1784, 181,  1081,
    952,  705,  82,   444,  342,  11,   114,  40,   367,  1954, 7,    192,
    164,  33,   116,  209,  62,   246,  384,  1621, 500,  303,  170,  156,
    863,  26,   1264, 189,  334,  304,  422,  294,  440,  1343, 57,   104,
    156,  102,  2620, 106,  323,  377,  1592, 1675, 460,  30,   172,  110,
    80,   36,   291,  10,   391,  51,   160,  227,  81,   2244, 271,  778,
    41,   757,  29,   118,  91,   140,  21,   46,   442,  355,  27,   35,
    1684, 100,  199,  2284, 88,   209,  101,  125,  140,  163,  93,   913,
    213,  180,  62,   375,  156,  92,   205,  137,  1335, 376,  125,  32,
    103,  310,  230,  29,   194,  4,    299,  256,  147,  36,   431,  371,
    283,  22,   7,    385,  18,   90,   207,  112,  71,   599,  24,   1103,
    445,  2,    413,  17,   12,   60,   1,    1250, 157,  487,  1714, 713,
    148,  187,  148,  196,  432,  979,  332,  108,  295,  108,  104,  93,
    1574, 10,   496,  107,  53,   5,    499,  321,  48,   670,  802,  156,
    1832, 14,   96,   78,   410,  85,   1417, 2657, 280,  245,  284,  148,
    189,  2,    52,   54,   384,  127,  1037, 140,  119,  73,   410,  1690,
    322,  148,  396,  1988, 248,  4,    264,  375,  98,   153,  283,  345,
    8,    402,  879,  159,  3552, 283,  26,   186,  295,  92,   110,  453,
    361,  107,  1937, 202,  1653, 314,  363,  14,   419,  271,  1000, 558,
    86,   23,   1,    195,  878,  421,  2020, 46,   73,   228,  400,  68,
    389,  34,   442,  273,  337,  1373, 408,  238,  2511, 127,  440,  521,
    105,  40,   171,  1125, 257,  244,  410,  37,   160,  52,   359,  1460,
    40,   400,  3423, 408,  357,  473,  230,  141,  415,  237,  55,   293,
    34,   305,  346,  205,  155,  642,  294,  173,  166,  306,  25,   358,
    251,  381,  46,   34,   452,  179,  1302, 118,  247,  2665, 575,  108,
    804,  788,  333,  154,  283,  327,  1528, 3318, 87,   431,  173,  3183,
    128,  2880, 457,  63,   408,  347,  891,  376,  306,  41,   493,  460,
    588,  212,  2597, 2526, 846,  1253, 975,  1391, 2911, 1416, 714,  114,
    149,  182,  155,  1248, 330,  343,  952,  3005, 402,  1128, 314,  123,
    973,  1968, 2265, 358,  192,  358,  159,  2557, 465,  1863, 427,  3469,
    443,  219,  105,  843,  365,  523,  553,  2143, 362,  496,  1334, 412,
    2254, 1135, 1523, 448,  1076, 971,  148,  1640, 858,  2303, 318,  475,
    192,  310,  1771, 501,  206,  1153, 470,  367,  467,  1621, 337,  874,
    200,  125,  2952, 188,  411,  1887, 367,  2146, 256,  548,  245,  2576,
    1794, 385,  980,  2757, 1931, 1531, 459,  1108, 1425, 617,  400,  757,
    255,  305,  158,  2370, 328,  3181, 1138, 1901, 505,  1267, 281,  386,
    1177, 192,  1165, 2945, 1327, 345,  1234, 402,  388,  2009, 2119, 380,
    1965, 485,  3092, 1122, 257,  731,  989,  194,  2365, 459,  1265, 324,
    1077, 412,  643,  2877, 1834, 307,  397,  372,  2087, 318,  2276, 362,
    2710, 304,  436,  308,  1632, 307,  2019, 490,  313,  442,  911,  166,
    358,  418,  199,  1819, 105,  1024, 617,  711,  269,  1785, 2107, 1691,
    138,  2662, 1212, 2010, 388,  428,  344,  1709, 2451, 1135, 280,  423,
    1458, 977,  328,  428,  805,  2078, 2848, 434,  602,  2234, 2798, 389,
    496,  353,  413,  468,  240,  3365, 264,  625,  2641, 2643, 257,  248,
    1143, 732,  427,  498,  2988, 2462, 215,  1525, 687,  1814, 188,  168,
    750,  3797, 81,   2736, 995,  1491, 2140, 2951, 3726, 500,  1379, 315,
    459,  1955, 331,  244,  96,   1411, 557,  2204, 151,  1736, 269,  1766,
    3451, 1205, 1783, 1897, 1453, 567,  781,  287,  196,  65,   141,  2742,
    360,  372,  450,  1978, 1817, 414,  299,  1791, 215,  270,  913,  903,
    184,  83,   762,  2185, 120,  1780, 249,  362,  3840, 279,  2897, 240,
    2032, 3508, 2181, 454,  2528, 1872, 261,  2271, 161,  262,  1271, 2407,
    206,  735,  718,  289,  456,  482,  284,  1087, 148,  227,  1730, 1868,
    1982, 3057, 2713, 2632, 2203, 250,  116,  563,  251,  1925, 3121, 1585,
    1865, 1873, 431,  199,  3163, 242,  1625, 304,  2137, 922,  1213, 3547,
    2251, 2934, 487,  105,  3311, 1567, 1545, 270,  358,  269,  1010, 2878,
    378,  487,  2105, 1939, 284,  1790, 89,   212,  1434, 927,  103,  1910,
    185,  3422, 1822, 280,  439,  463,  1280, 434,  2316, 3724, 1581, 2947,
    1095, 492,  1880, 959,  232,  278,  3335, 1960, 223,  304,  140,  920,
    127,  121,  386,  1880, 499,  851,  253,  1945, 629,  981,  372,  292,
    591,  127,  924,  619,  2070, 38,   213,  459,  1693, 73,   37,   287,
    2374, 359,  1591, 238,  778,  894,  186,  156,  351,  23,   460,  486,
    3248, 539,  242,  174,  1235, 91,   483,  38,   432,  2510, 601,  2825,
    622,  310,  605,  1975, 344,  17,   272,  162,  774,  153,  224,  385,
    176,  511,  751,  1099, 1024, 905,  36,   1062, 1083, 235,  333,  1154,
    227,  125,  186,  376,  392,  1616, 233,  573,  3513, 678,  703,  397,
    494,  2998, 2252, 1846, 155,  43,   1274, 3925, 430,  256,  474,  1587,
    2865, 620,  1459, 396,  281,  298,  2733, 459,  309,  294,  302,  2307,
    973,  2012, 1241, 2158, 290,  836,  338,  2082, 223,  1450, 324,  329,
    1181, 45,   299,  267,  3075, 1291, 1252, 242,  1143, 1861, 445,  986,
    2767, 2555, 3371, 280,  1388, 374,  1830, 458,  932,  693,  158,  438,
    178,  487,  247,  173,  486,  3590, 124,  181,  2368, 379,  694,  474,
    977,  651,  1082, 466,  366,  815,  465,  702,  359,  403,  170,  2127,
    371,  2281, 1230, 1112, 438,  569,  555,  194,  1019, 2190, 2566, 282,
    352,  670,  951,  295,  491,  1854, 673,  2132, 2787, 224,  1261, 1427,
    3572, 388,  491,  493,  1863, 250,  137,  264,  349,  3137, 417,  496,
    434,  2034, 243,  1099, 309,  137,  278,  782,  1659, 1858, 182,  923,
    21,   208,  364,  1924, 265,  334,  466,  880,  3439, 315,  290,  2259,
    3364, 358,  440,  264,  392,  1588, 730,  3473, 144,  1694, 313,  3738,
    3312, 113,  3192, 2694, 395,  2196, 2245, 2222, 329,  2413, 397,  177,
    465,  3080, 158,  1570, 334,  688,  216,  1434, 78,   2847, 208,  2021,
    384,  450,  709,  262,  3920, 292,  354,  1485, 2334, 373,  2210, 1572,
    1282, 592,  2098, 676,  199,  89,   2271, 492,  2085, 2172, 384,  364,
    459,  1184, 499,  929,  47,   305,  466,  3165, 3121, 2059, 303,  1147,
    979,  3144, 3190, 2067, 169,  310,  401,  916,  354,  1963, 3143, 477,
    719,  283,  152,  640,  1760, 422,  296,  3069, 1104, 141,  369,  1795,
    1521, 233,  757,  1858, 122,  3882, 476,  1217, 2217, 315,  2564, 126,
    510,  448,  954,  570,  1338, 571,  457,  83,   217,  1973, 489,  1829,
    2223, 56,   438,  544,  3491, 1080, 1170, 2056, 180,  3206, 1933, 332,
    898,  886,  2384, 320,  1608, 334,  232,  543,  566,  261,  2759, 817,
    3324, 422,  170,  983,  158,  392,  275,  948,  2686, 1726, 692,  844,
    2897, 279,  178,  461,  223,  222,  262,  381,  1529, 928,  1801, 1447,
    354,  1041, 86,   2596, 2436, 525,  713,  260,  1404, 219,  1102, 203,
    393,  907,  313,  330,  490,  2180, 2828, 1279, 666,  196,  1547, 2442,
    3565, 308,  2817, 157,  1156, 2821, 220,  232,  500,  313,  1036, 636,
    449,  1201, 469,  389,  2274, 2048, 463,  3091, 3573, 1107, 1618, 993,
    3098, 225,  183,  300,  931,  665,  156,  661,  537,  268,  1512, 2705,
    463,  312,  239,  240,  992,  1367, 2872, 1984, 4015, 284,  3403, 909,
    457,  2342, 1792, 2954, 443,  112,  595,  716,  621,  139,  222,  967,
    303,  1297, 969,  766,  127,  1152, 89,   1584, 217,  1545, 374,  572,
    2780, 3024, 216,  135,  405,  2404, 2637, 440,  519,  107,  143,  407,
    2223, 458,  492,  528,  145,  480,  2834, 206,  368,  635,  1485, 400,
    671,  167,  293,  976,  239,  1096, 132,  2675, 462,  213,  883,  2719,
    2408, 518,  1650, 203,  1442, 1595, 2290, 2091, 1656, 375,  1449, 2208,
    420,  244,  2060, 480,  808,  2707, 103,  2425, 344,  309,  1799, 2296,
    375,  1972, 369,  161,  88,   1635, 2008, 1670, 865,  732,  396,  1000,
    1269, 185,  1603, 471,  2873, 209,  2593, 473,  325,  2959, 188,  227,
    168,  289,  424,  1824, 857,  327,  456,  180,  1304, 1023, 228,  402,
    211,  46,   1645, 513,  2025, 149,  314,  445,  3019, 145,  243,  394,
    1834, 2150, 1235, 3398, 357,  2364, 3430, 738,  86,   2850, 1721, 266,
    1537, 1462, 792,  618,  1776, 260,  637,  188,  144,  87,   2643, 2248,
    314,  868,  437,  585,  206,  232,  203,  159,  1602, 339,  89,   2116,
    941,  380,  230,  2846, 521,  2336, 363,  492,  2638, 891,  405,  214,
    733,  856,  1869, 417,  198,  3132, 1876, 335,  1700, 499,  1220, 439,
    160,  841,  3529, 300,  422,  1026, 122,  341,  136,  142,  289,  405,
    1460, 434,  446,  493,  1599, 2778, 498,  94,   2765, 164,  54,   4029,
    1943, 389,  613,  428,  1348, 2079, 378,  247,  2585, 764,  2644, 2436,
    240,  448,  1957, 1948, 2006, 2281, 47,   489,  368,  91,   1752, 160,
    174,  1675, 1172, 2322, 2085, 98,   215,  482,  901,  3542, 1765, 373,
    1035, 423,  1044, 409,  1345, 353,  193,  2019, 3035, 3463, 394,  2135,
    588,  188,  1240, 1983, 210,  803,  3636, 2311, 99,   66,   250,  1093,
    1301, 999,  338,  964,  196,  153,  13,   1501, 910,  1523, 2884, 1145,
    1672, 420,  498,  1386, 1488, 78,   1555, 1162, 3026, 3085, 368,  142,
    229,  17,   816,  1680, 1947, 91,   756,  1768, 1116, 210,  437,  3114,
    70,   3659, 602,  2218, 63,   1465, 374,  2324, 468,  151,  249,  2543,
    468,  467,  2523, 36,   61,   211,  392,  611,  3077, 2006, 464,  3367,
    383,  526,  471,  268,  335,  229,  262,  460,  2702, 937,  237,  1860,
    2062, 3231, 2949, 2913, 114,  3156, 332,  1847, 222,  353,  355,  990,
    235,  1483, 1792, 1843, 480,  582,  3258, 98,   159,  253,  1410, 761,
    370,  852,  62,   995,  128,  1587, 170,  507,  1731, 1173, 2576, 878,
    1826, 2385, 1166, 228,  164,  442,  217,  151,  428,  674,  340,  2014,
    201,  2006, 472,  222,  162,  477,  3163, 489,  23,   130,  969,  1188,
    1832, 338,  1758, 1933, 1207, 932,  113,  1760, 133,  207,  411,  304,
    753,  205,  462,  2087, 3483, 87,   1595, 151,  358,  2276, 1431, 3447,
    2025, 361,  226,  98,   375,  942,  173,  392,  243,  387,  988,  2574,
    790,  1160, 1097, 267,  942,  2351, 177,  204,  272,  460,  1103, 1075,
    376,  483,  388,  1365, 1634, 1257, 354,  510,  3017, 2323, 142,  799,
    338,  479,  3114, 1547, 204,  219,  387,  392,  371,  416,  3772, 1746,
    2150, 2920, 397,  1554, 2064, 2972, 1856, 3120, 190,  281,  444,  493,
    167,  321,  263,  1243, 414,  236,  448,  485,  2412, 2591, 342,  780,
    793,  437,  1351, 104,  272,  1152, 290,  1952, 570,  1867, 2484, 3285,
    2860, 1213, 349,  436,  478,  221,  358,  458,  1606, 3655, 2835, 1657,
    158,  638,  242,  2696, 313,  3098, 1581, 3270, 263,  3014, 399,  2708,
    285,  2385, 4030, 2487, 1224, 2568, 265,  211,  1254, 465,  1996, 782,
    400,  442,  289,  274,  2253, 3381, 709,  1398, 1650, 1016, 556,  2320,
    196,  1481, 1440, 561,  1261, 67,   275,  304,  590,  1952, 66,   1362,
    2545, 1442, 686,  2531, 2756, 324,  120,  1272, 2461, 2533, 503,  2319,
    3249, 398,  1845, 1452, 1666, 1596, 1797, 323,  371,  1629, 77,   432,
    461,  453,  331,  334,  164,  473,  3457, 97,   3416, 530,  1890, 241,
    2376, 156,  1358, 2701, 2111, 397,  3357, 3569, 445,  278,  322,  450,
    201,  459,  2806, 136,  80,   3283, 287,  125,  1036, 2876, 1226, 214,
    418,  2128, 847,  122,  2352, 442,  2572, 340,  394,  742,  453,  1737,
    264,  216,  1987, 534,  2619, 271,  316,  446,  3242, 1043, 2075, 23,
    1210, 111,  933,  3054, 1139, 2613, 2010, 251,  1354, 364,  237,  839,
    336,  3130, 990,  388,  178,  1284, 404,  2268, 495,  3545, 402,  1641,
    236,  233,  1254, 312,  3086, 2313, 345,  183,  2532, 934,  775,  2811,
    1936, 884,  2285, 1197, 1024, 277,  135,  292,  245,  350,  410,  385,
    729,  3236, 649,  1084, 155,  925,  667,  201,  84,   1711, 1663, 364,
    1539, 209,  3401, 172,  2394, 330,  1056, 673,  30,   126,  259,  129,
    504,  1393, 2520, 1349, 3202, 391,  267,  1957, 43,   342,  366,  505,
    116,  1035, 2148, 213,  1033, 580,  3711, 2582, 281,  1544, 2663, 3030,
    328,  239,  206,  233,  2341, 423,  232,  998,  121,  2337, 417,  2358,
    1521, 294,  78,   3158, 27,   152,  2507, 468,  3138, 670,  785,  3337,
    560,  2942, 890,  1808, 872,  2273, 356,  1028, 80,   66,   359,  470,
    426,  1306, 407,  3472, 409,  1417, 2022, 346,  974,  1151, 1844, 1710,
    3194, 954,  176,  152,  1984, 1067, 967,  332,  2462, 3460, 2305, 2308,
    561,  2039, 2691, 242,  1908, 243,  993,  3125, 3693, 765,  518,  1802,
    395,  1923, 767,  488,  30,   377,  391,  1006, 1853, 1226, 1754, 195,
    1060, 203,  864,  3095, 1358, 759,  251,  1005, 3454, 1155, 338,  2315,
    2582, 3102, 405,  1804, 1215, 111,  1441, 3296, 273,  3979, 2953, 392,
    2554, 1607, 457,  3149, 75,   1907, 3309, 137,  83,   2356, 703,  3618,
    239,  1612, 94,   320,  2955, 2126, 639,  761,  1178, 1455, 233,  113,
    95,   1786, 425,  817,  151,  1267, 218,  419,  1045, 406,  137,  2357,
    1137, 475,  445,  314,  1528, 129,  473,  1054, 1883, 476,  1691, 1556,
    408,  1205, 202,  100,  2502, 679,  59,   3766, 307,  1636, 289,  633,
    211,  3658, 538,  979,  330,  304,  1074, 195,  356,  1381, 2525, 2225,
    1877, 218,  1017, 532,  2721, 135,  694,  1779, 347,  331,  333,  383,
    190,  3340, 1245, 1725, 531,  451,  3062, 2862, 2368, 1143, 397,  364,
    324,  408,  3358, 1037, 144,  2537, 1513, 438,  1736, 218,  104,  346,
    1058, 180,  224,  614,  395,  241,  320,  616,  373,  96,   1719, 297,
    303,  2009, 223,  199,  2496, 2306, 2602, 624,  1527, 2974, 2393, 1141,
    604,  1177, 2548, 1954, 387,  480,  136,  2138, 984,  366,  194,  944,
    853,  1169, 3202, 191,  458,  2520, 404,  1875, 1180, 377,  249,  211,
    809,  1706, 2369, 1778, 1711, 345,  1645, 1192, 343,  770,  2098, 1904,
    2190, 213,  2746, 307,  291,  444,  199,  474,  187,  247,  2061, 3022,
    258,  411,  292,  244,  25,   1541, 273,  1561, 1469, 397,  522,  138,
    848,  2232, 254,  385,  1526, 2508, 635,  2102, 337,  1447, 1744, 1400,
    421,  1616, 2580, 335,  42,   81,   1292, 356,  2005, 229,  419,  1182,
    461,  1810, 362,  247,  1868, 327,  445,  1745, 272,  1149, 2940, 1614,
    1954, 234,  415,  160,  454,  606,  2666, 343,  3395, 156,  445,  43,
    3361, 322,  1466, 801,  2629, 1629, 716,  146,  3444, 3040, 141,  1741,
    1901, 2090, 506,  820,  137,  189,  779,  68,   843,  844,  467,  388,
    1128, 1190, 789,  1781, 911,  439,  821,  123,  1554, 247,  454,  233,
    340,  405,  3421, 669,  1457, 1876, 249,  244,  389,  1194, 243,  3552,
    449,  3222, 185,  2027, 3257, 154,  1003, 1813, 1950, 2249, 1198, 229,
    312,  1669, 1926, 2869, 199,  465,  1731, 655,  2684, 228,  420,  385,
    26,   2033, 1519, 1063, 2891, 165,  417,  1053, 2754, 406,  246,  3252,
    150,  1699, 2038, 2990, 549,  461,  2149, 1517, 158,  644,  1966, 419,
    182,  3799, 52,   657,  1582, 430,  490,  1269, 673,  2763, 671,  2597,
    355,  500,  172,  461,  1692, 320,  1011, 307,  311,  1717, 520,  370,
    1490, 1998, 344,  477,  2930, 400,  226,  1342, 415,  332,  331,  2249,
    499,  1354, 313,  1932, 1171, 1446, 2524, 385,  67,   163,  466,  318,
    134,  218,  350,  1583, 432,  129,  2752, 388,  889,  1283, 2422, 120,
    1077, 3458, 3183, 430,  456,  664,  1589, 295,  487,  804,  162,  569,
    313,  904,  156,  3105, 2312, 462,  1159, 1730, 2503, 1470, 1295, 3540,
    114,  500,  99,   2029, 1684, 463,  2909, 113,  319,  1993, 310,  370,
    466,  296,  3518, 2254, 226,  297,  161,  351,  1549, 1013, 2296, 1311,
    460,  485,  265,  327,  28,   1611, 2831, 425,  433,  1374, 322,  1039,
    2147, 1565, 326,  851,  276,  309,  473,  2732, 422,  909,  22,   217,
    488,  111,  369,  289,  79,   254,  334,  705,  1676, 1019, 47,   2859,
    402,  377,  2824, 606,  3935, 2603, 92,   319,  269,  408,  373,  218,
    911,  1631, 309,  1287, 421,  1538, 939,  3797, 376,  1158, 733,  840,
    1501, 151,  1845, 275,  1941, 1770, 343,  657,  3545, 108,  1379, 398,
    281,  1504, 983,  504,  3228, 351,  2151, 3223, 2013, 1914, 553,  411,
    215,  323,  454,  831,  36,   422,  1613, 251,  953,  387,  3214, 479,
    2034, 476,  2289, 379,  498,  128,  2923, 1654, 315,  1855, 198,  1890,
    238,  394,  1974, 209,  418,  1248, 1890, 1423, 3351, 869,  557,  406,
    355,  130,  220,  486,  325,  2435, 1291, 1756, 216,  75,   380,  459,
    23,   394,  875,  3291, 331,  1517, 3120, 562,  3534, 1212, 994,  369,
    293,  3086, 188,  915,  948,  62,   340,  71,   2635, 1543, 177,  1731,
    438,  2190, 317,  2864, 885,  390,  367,  212,  446,  478,  3401, 180,
    163,  382,  1182, 1790, 114,  401,  915,  2178, 140,  230,  303,  1770,
    2432, 259,  866,  277,  1548, 961,  2964, 1510, 72,   467,  925,  962,
    297,  366,  2135, 2116, 296,  1148, 2722, 2346, 131,  1539, 457,  1649,
    2870, 268,  793,  165,  773,  1203, 188,  320,  1796, 1518, 205,  464,
    309,  397,  394,  1515, 692,  497,  1328, 2193, 204,  472,  491,  1182,
    1185, 2376, 2214, 491,  2449, 930,  452,  92,   819,  304,  247,  1923,
    418,  1857, 1276, 660,  99,   428,  1040, 2592, 431,  2359, 339,  2786,
    360,  1247, 1598, 2464, 194,  238,  1960, 195,  39,   1286, 816,  285,
    497,  328,  631,  2365, 204,  367,  3280, 3173, 1228, 355,  1550, 2230,
    1734, 468,  235,  3793, 80,   371,  234,  2963, 260,  266,  117,  1389,
    769,  419,  1586, 195,  1751, 650,  3070, 304,  472,  492,  1609, 252,
    2287, 134,  390,  508,  363,  1272, 1722, 278,  917,  167,  2495, 478,
    43,   100,  458,  417,  1915, 219,  131,  165,  567,  695,  1303, 535,
    547,  517,  710,  814,  1572, 374,  473,  89,   469,  3313, 180,  2562,
    240,  1264, 2809, 2746, 1328, 402,  192,  1433, 212,  91,   326,  285,
    159,  290,  353,  2569, 168,  365,  3854, 237,  279,  424,  1649, 397,
    156,  410,  1741, 636,  1850, 301,  328,  659,  1557, 994,  2901, 577,
    206,  267,  144,  239,  327,  1874, 197,  286,  279,  387,  422,  1069,
    29,   435,  579,  94,   2384, 203,  2894, 133,  422,  1863, 228,  1117,
    74,   359,  455,  130,  682,  155,  1576, 349,  1651, 2213, 2083, 1924,
    103,  227,  295,  1215, 3221, 253,  412,  1273, 1382, 1398, 413,  1749,
    2790, 199,  2061, 2191, 327,  2648, 150,  1725, 158,  667,  395,  2116,
    3432, 177,  298,  173,  759,  1298, 301,  1315, 274,  931,  777,  477,
    2803, 292,  1012, 317,  1492, 1499, 2402, 399,  391,  724,  1436, 103,
    1683, 328,  1892, 2060, 164,  1220, 299,  893,  353,  289,  838,  566,
    1787, 646,  375,  393,  2626, 457,  219,  422,  154,  304,  281,  1678,
    1875, 225,  298,  1937, 467,  217,  199,  1370, 447,  287,  314,  298,
    114,  481,  455,  1197, 1273, 351,  1324, 2912, 663,  572,  45,   3446,
    361,  1717, 91,   3577, 2047, 2835, 1344, 2685, 249,  191,  1167, 736,
    585,  3776, 112,  1888, 207,  3050, 164,  3778, 2551, 3749, 1505, 207,
    332,  3291, 908,  654,  2651, 301,  1492, 555,  1084, 3959, 441,  3221,
    238,  162,  330,  2220, 668,  306,  1590, 2486, 604,  157,  288,  2425,
    216,  431,  423,  278,  128,  112,  271,  3112, 2856, 2716, 106,  78,
    65,   221,  2729, 2508, 744,  1232, 1950, 95,   421,  368,  389,  1986,
    448,  1615, 629,  1893, 1138, 1894, 416,  237,  2264, 351,  134,  414,
    3066, 528,  225,  1031, 1749, 214,  3584, 1753, 779,  475,  235,  345,
    472,  92,   293,  597,  165,  3288, 277,  786,  433,  704,  3196, 122,
    354,  203,  1785, 2430, 314,  108,  74,   433,  2262, 715,  1911, 1408,
    2712, 1873, 265,  1444, 462,  1839, 346,  403,  2433, 121,  1646, 141,
    1470, 2382, 1490, 409,  361,  359,  1382, 478,  746,  478,  329,  206,
    1519, 563,  3402, 3247, 1288, 333,  2408, 677,  456,  467,  498,  796,
    1007, 324,  225,  352,  550,  787,  315,  361,  245,  1154, 207,  429,
    270,  250,  964,  989,  204,  463,  224,  318,  2420, 1072, 395,  1387,
    317,  494,  2265, 1462, 828,  61,   2280, 228,  357,  1741, 385,  1412,
    970,  1178, 2886, 1054, 1183, 85,   612,  2600, 185,  260,  1049, 364,
    452,  48,   2179, 3127, 275,  1744, 133,  129,  109,  461,  188,  907,
    881,  326,  543,  398,  1858, 2004, 1675, 248,  3372, 982,  1190, 948,
    2300, 286,  414,  1831, 167,  308,  352,  955,  765,  299,  409,  1627,
    1688, 201,  2644, 288,  998,  1320, 427,  2780, 536,  1763, 475,  2460,
    386,  2501, 634,  2095, 305,  270,  330,  2783, 568,  330,  428,  400,
    425,  2749, 462,  1405, 1551, 379,  472,  1407, 311,  2957, 363,  2878,
    3168, 219,  1411, 487,  3590, 260,  1295, 2659, 250,  912,  473,  203,
    807,  134,  2306, 194,  230,  1054, 1844, 241,  540,  1743, 296,  941,
    272,  132,  313,  304,  117,  40,   960,  452,  718,  461,  452,  440,
    113,  386,  91,   492,  632,  209,  3329, 459,  755,  439,  165,  2381,
    414,  905,  3756, 622,  1771, 748,  587,  479,  2705, 1125, 3496, 14,
    3092, 2157, 1476, 300,  479,  432,  350,  3039, 933,  471,  649,  400,
    1893, 3269, 2836, 3634, 1294, 289,  310,  182,  1092, 450,  1913, 110,
    398,  1060, 381,  1308, 1534, 2407, 270,  382,  63,   188,  236,  2091,
    352,  1333, 415,  2101, 312,  438,  2271, 2717, 2692, 332,  226,  597,
    2580, 368,  1720, 256,  405,  1956, 166,  1762, 439,  1272, 1251, 70,
    233,  120,  2469, 456,  1109, 125,  341,  1339, 29,   457,  158,  3314,
    61,   1866, 3688, 451,  184,  1118, 2117, 282,  2765, 2584, 450,  2370,
    102,  481,  3239, 484,  2315, 836,  360,  497,  1917, 1211, 1030, 97,
    373,  37,   486,  76,   2924, 3712, 430,  2038, 2383, 3478, 1116, 1828,
    1076, 1799, 576,  319,  2294, 1223, 2203, 1152, 228,  1699, 348,  833,
    1945, 527,  3297, 1142, 656,  1010, 316,  586,  562,  2118, 477,  185,
    74,   293,  344,  362,  127,  382,  469,  2141, 318,  241,  1311, 624,
    2982, 2819, 292,  3480, 2710, 161,  475,  940,  350,  231,  3065, 215,
    669,  70,   1718, 2334, 484,  378,  1106, 1298, 2166, 202,  245,  647,
    166,  461,  363,  621,  140,  785,  966,  2239, 506,  2766, 292,  2373,
    1872, 1886, 92,   212,  416,  301,  2298, 356,  3398, 2223, 1639, 1118,
    1683, 255,  1705, 2216, 2603, 2706, 2690, 2157, 1095, 635,  1114, 403,
    385,  1734, 1130, 273,  402,  166,  2467, 372,  1713, 2419, 3466, 369,
    188,  926,  261,  342,  1486, 1271, 783,  1803, 921,  304,  1356, 270,
    381,  1979, 591,  1643, 857,  176,  2347, 2444, 1714, 2481, 1254, 1146,
    1384, 59,   135,  399,  616,  638,  218,  321,  3153, 650,  218,  248,
    80,   212,  1029, 1777, 393,  1303, 1055, 88,   308,  367,  1064, 383,
    1320, 3073, 183,  2102, 398,  167,  440,  2928, 368,  431,  2270, 1448,
    195,  3146, 312,  2151, 1328, 1775, 425,  225,  1740, 409,  1615, 473,
    3262, 1571, 723,  273,  254,  1384, 139,  2558, 286,  1889, 1606, 383,
    70,   3212, 87,   174,  1183, 2447, 476,  1018, 1210, 952,  2079, 463,
    480,  296,  1126, 272,  109,  2743, 3011, 1140, 349,  2904, 2588, 1467,
    250,  2332, 293,  471,  2708, 238,  141,  1382, 1268, 473,  1252, 417,
    110,  1192, 1100, 756,  1383, 85,   278,  422,  708,  1697, 1791, 1862,
    481,  241,  370,  79,   70,   296,  365,  102,  326,  1739, 695,  500,
    3203, 397,  2369, 73,   1238, 90,   1136, 1872, 1866, 1194, 976,  1746,
    433,  402,  2001, 1847, 3968, 3243, 1608, 289,  1601, 1484, 190,  483,
    1807, 453,  1283, 311,  2227, 1732, 800,  113,  1047, 329,  789,  406,
    390,  89,   424,  229,  262,  839,  1146, 820,  295,  1265, 536,  298,
    1255, 401,  341,  219,  211,  786,  66,   471,  696,  2126, 199,  1919,
    2893, 415,  124,  2701, 3161, 447,  2209, 1083, 1308, 741,  1721, 1903,
    3237, 696,  1558, 244,  1975, 1537, 433,  950,  217,  348,  2232, 1306,
    164,  139,  1333, 287,  682,  343,  381,  474,  184,  73,   175,  1796,
    3039, 1211, 436,  252,  901,  106,  401,  56,   546,  135,  734,  373,
    1021, 545,  851,  313,  1940, 310,  1635, 578,  639,  430,  366,  157,
    1029, 278,  1375, 2575, 1208, 1484, 339,  2907, 1658, 2049, 2240, 793,
    1071, 816,  290,  443,  2525, 476,  339,  908,  1022, 387,  483,  224,
    1817, 315,  972,  151,  1172, 232,  1577, 653,  207,  1453, 97,   904,
    455,  2386, 139,  1840, 3109, 2948, 134,  2301, 356,  1592, 559,  1461,
    539,  152,  469,  632,  3290, 610,  356,  1293, 220,  179,  806,  226,
    398,  87,   222,  363,  1188, 64,   401,  2414, 3687, 1661, 1256, 1319,
    2742, 326,  1413, 1627, 3199, 330,  297,  121,  365,  823,  437,  858,
    374,  332,  469,  190,  276,  372,  1097, 2258, 551,  2046, 130,  2472,
    415,  3823, 344,  2851, 1486, 236,  662,  2089, 449,  633,  1340, 132,
    2355, 387,  274,  1690, 1623, 758,  2349, 2396, 232,  525,  2667, 65,
    1425, 235,  177,  1733, 1541, 300,  3336, 1634, 132,  414,  604,  370,
    111,  203,  3705, 242,  251,  1216, 208,  1703, 1655, 666,  3154, 785,
    882,  275,  2703, 467,  2296, 461,  470,  2197, 181,  272,  2197, 970,
    609,  2996, 210,  2255, 1576, 577,  1070, 1404, 2167, 737,  274,  302,
    939,  876,  309,  267,  455,  680,  2932, 119,  1884, 1588, 3776, 239,
    56,   322,  3279, 2495, 2103, 239,  2592, 406,  205,  142,  837,  388,
    1996, 1204, 1289, 1765, 1393, 396,  493,  817,  1121, 455,  88,   1198,
    1825, 2331, 640,  564,  215,  1028, 288,  425,  244,  170,  405,  285,
    1148, 2506, 896,  702,  437,  221,  1767, 1470, 3053, 274,  2640, 1290,
    1069, 429,  1862, 1161, 735,  380,  1130, 409,  1416, 348,  275,  1793,
    1422, 318,  109,  350,  2033, 2471, 89,   340,  1217, 67,   1347, 2652,
    1853, 2014, 323,  3003, 1029, 267,  2688, 1869, 322,  1190, 1017, 401,
    102,  482,  183,  492,  72,   423,  1244, 405,  426,  312,  116,  159,
    3373, 2345, 2581, 450,  355,  917,  1335, 949,  1445, 1653, 91,   1617,
    146,  2416, 72,   253,  27,   3231, 47,   351,  268,  39,   229,  1370,
    2479, 1429, 275,  3268, 490,  926,  418,  1927, 627,  376,  362,  1779,
    1628, 3319, 265,  1270, 3140, 1218, 87,   2074, 1618, 233,  230,  60,
    368,  2166, 484,  277,  248,  256,  420,  468,  2871, 1677, 751,  2585,
    1556, 361,  428,  503,  1498, 34,   3330, 321,  965,  480,  644,  1200,
    1307, 3135, 184,  746,  939,  256,  3486, 465,  1307, 442,  2784, 2562,
    470,  142,  833,  237,  176,  136,  1793, 47,   3040, 750,  2396, 963,
    1665, 3245, 2159, 908,  308,  3179, 216,  356,  278,  1851, 123,  77,
    1339, 383,  218,  1326, 2750, 401,  404,  2857, 173,  417,  132,  170,
    336,  386,  162,  1716, 297,  1518, 110,  2867, 1021, 383,  2072, 343,
    1528, 887,  900,  73,   332,  962,  439,  295,  450,  169,  474,  262,
    205,  894,  520,  2813, 1694, 443,  273,  1028, 2266, 215,  1887, 368,
    73,   2504, 69,   1701, 953,  53,   761,  311,  2417, 294,  75,   2025,
    399,  1631, 2680, 3327, 748,  495,  219,  1877, 802,  1015, 1477, 829,
    316,  231,  304,  309,  3030, 99,   1031, 190,  488,  1258, 1119, 823,
    335,  1622, 3113, 285,  2228, 136,  182,  491,  998,  1700, 1579, 3539,
    482,  256,  947,  168,  2208, 1706, 1377, 460,  1927, 181,  1175, 267,
    333,  1848, 605,  3180, 491,  276,  2054, 2493, 805,  226,  519,  453,
    396,  1924, 335,  1981, 85,   708,  1647, 462,  3613, 372,  2156, 309,
    438,  466,  130,  493,  762,  697,  1984, 987,  2113, 601,  3210, 180,
    479,  1419, 1087, 672,  137,  3237, 83,   1684, 1986, 478,  2111, 153,
    1144, 1420, 1337, 314,  2231, 53,   2462, 2202, 371,  3546, 594,  426,
    2996, 729,  1529, 1257, 191,  546,  337,  3743, 416,  316,  499,  428,
    1285, 192,  2655, 1763, 498,  1538, 3516, 1652, 375,  1759, 302,  222,
    2813, 852,  512,  517,  272,  388,  485,  685,  2420, 2021, 1582, 218,
    1949, 347,  128,  513,  310,  653,  486,  297,  1269, 344,  2802, 197,
    330,  3412, 3035, 2177, 810,  1892, 464,  476,  371,  3678, 3995, 3752,
    318,  620,  723,  3699, 241,  2994, 1983, 255,  1357, 446,  1513, 1899,
    1324, 429,  1985, 1119, 2185, 690,  3992, 3759, 2409, 1539, 1001, 1980,
    3223, 2776, 2465, 1871, 224,  1612, 446,  4093, 466,  349,  970,  3834,
    978,  1708, 953,  2438, 2375, 2514, 2918, 1569, 2003, 922,  455,  3703,
    614,  3695, 709,  3872, 490,  719,  212,  3416, 487,  2110, 628,  2450,
    1508, 861,  3597, 467,  3329, 1155, 1836, 474,  1859, 2174, 1090, 1701,
    2581, 3606, 2535, 1660, 469,  374,  2447, 744,  329,  1854, 2309, 401,
    1319, 3144, 1808, 1432, 2723, 440,  3668, 223,  431,  3042, 390,  2539,
    427,  2403, 283,  3137, 1943, 492,  1237, 3778, 3184, 2480, 1804, 1493,
    3472, 2906, 2794, 2675, 578,  2378, 467,  2907, 477,  3355, 1228, 2184,
    1468, 1625, 522,  399,  2236, 341,  3911, 3852, 2490, 1986, 2852, 419,
    892,  3756, 2212, 909,  2483, 741,  3592, 1330, 1561, 4078, 2529, 441,
    3139, 2613, 3310, 591,  1728, 443,  2255, 3454, 3015, 499,  794,  2022,
    2436, 2550, 2947, 374,  3464, 463,  1262, 2964, 3149, 1718, 2284, 2656,
    385,  1762, 3193, 305,  486,  745,  301,  3014, 1057, 2316, 1125, 1691,
    2189, 2950, 3761, 3459, 249,  3052, 3201, 2518, 419,  1186, 2305, 3394,
    3138, 2596, 2522, 3314, 2093, 3200, 2385, 1431, 1268, 2469, 3024, 835,
    1358, 2465, 2849, 393,  927,  858,  2262, 1253, 273,  3512, 2515, 1816,
    2784, 3561, 586,  437,  3961, 1406, 1191, 2211, 3936, 2813, 255,  2299,
    3877, 2570, 1961, 245,  2312, 4053, 259,  3640, 1310, 2294, 3670, 3205,
    3736, 1381, 3037, 2406, 871,  3261, 396,  269,  134,  2233, 711,  3760,
    1506, 2405, 394,  3685, 3860, 3095, 3757, 1915, 1664, 2374, 2412, 1355,
    1058, 311,  786,  3829, 758,  403,  500,  2360, 3876, 788,  3068, 3763,
    583,  540,  2624, 1795, 210,  254,  1295, 3243, 783,  2341, 322,  378,
    3889, 1072, 3109, 365,  2313, 4048, 3330, 628,  3663, 3529, 863,  2397,
    471,  376,  3777, 2623, 2351, 1931, 2060, 352,  889,  957,  300,  1428,
    387,  359,  2269, 2516, 3216, 3612, 3246, 3349, 2736, 2634, 458,  2309,
    467,  3254, 3792, 1705, 2435, 3356, 2199, 293,  3229, 295,  2050, 364,
    2505, 1898, 1557, 3747, 3868, 3021, 2230, 428,  3784, 2439, 1971, 1420,
    3171, 290,  1455, 3064, 442,  1131, 2208, 3566, 896,  2948, 367,  274,
    2449, 1179, 1225, 2677, 2205, 3783, 3589, 1104, 2261, 2137, 1848, 1440,
    2380, 4041, 3489, 3986, 3088, 2090, 3557, 2973, 526,  1023, 3524, 3675,
    355,  2337, 3118, 2308, 2017, 282,  871,  2654, 594,  1686, 345,  2622,
    1057, 2075, 453,  1132, 4054, 1468, 2033, 860,  3078, 1287, 260,  887,
    3621, 105,  115,  841,  3420, 656,  2280, 1451, 1001, 1525, 389,  616,
    3585, 365,  480,  2121, 3391, 1113, 2530, 257,  1962, 431,  849,  69,
    2330, 3346, 2731, 3774, 1091, 429,  3711, 2881, 1884, 345,  1157, 268,
    3558, 2250, 1026, 2239, 319,  1977, 2494, 3383, 1736, 1543, 364,  1739,
    3806, 499,  1671, 3849, 524,  502,  232,  2179, 475,  3665, 1449, 3721,
    3680, 2643, 2051, 1225, 2053, 3872, 2854, 2136, 516,  130,  1573, 4084,
    1463, 1316, 834,  2061, 3771, 1426, 2764, 659,  329,  2015, 3512, 1366,
    435,  361,  2578, 3365, 1368, 3763, 3739, 3185, 331,  1155, 449,  4004,
    641,  2429, 360,  2863, 1955, 84,   1159, 285,  3253, 2077, 3579, 346,
    2421, 3101, 446,  2325, 3090, 3665, 3706, 760,  3734, 2272, 3139, 651,
    2546, 2251, 343,  1852, 643,  1765, 456,  699,  2073, 4043, 486,  456,
    3587, 395,  2851, 1142, 2272, 1286, 2172, 1396, 837,  2036, 1146, 1120,
    1446, 1271, 576,  2954, 424,  2586, 2790, 2550, 554,  3005, 2181, 2678,
    3692, 2212, 3627, 1168, 370,  3960, 2235, 382,  2156, 3255, 1688, 3931,
    3379, 2509, 1560, 2649, 3927, 391,  584,  1317, 4028, 299,  157,  327,
    717,  3471, 474,  1727, 771,  2703, 2561, 2529, 2547, 198,  1974, 1529,
    3786, 3461, 199,  1745, 198,  294,  2175, 2861, 325,  684,  1482, 1136,
    3965, 1847, 752,  2486, 4061, 1158, 2674, 382,  2750, 2708, 1667, 3932,
    2403, 3853, 431,  3835, 3684, 117,  3489, 3174, 1195, 3544, 2744, 2460,
    2056, 3476, 2697, 408,  3156, 3131, 3070, 2633, 1263, 2586, 273,  3689,
    173,  3971, 1207, 3871, 412,  872,  3056, 303,  4095, 1484, 714,  1522,
    2451, 916,  4053, 2443, 3053, 910,  2213, 3197, 292,  195,  4029, 915,
    3018, 2753, 577,  2952, 652,  1229, 1938, 1349, 186,  2448, 2515, 3259,
    3893, 2211, 2860, 3894, 1389, 4077, 3241, 2445, 316,  345,  3335, 996,
    2161, 3798, 3598, 721,  1032, 1068, 401,  707,  3094, 1318, 1185, 4094,
    1474, 685,  609,  4036, 3263, 303,  3209, 2857, 246,  4075, 1593, 1673,
    3024, 740,  3175, 1902, 529,  2300, 1352, 1636, 3929, 3480, 652,  287,
    461,  3212, 708,  3122, 2377, 319,  1563, 1059, 3918, 2952, 2222, 3355,
    197,  3802, 3333, 711,  3882, 1595, 2676, 1940, 2791, 1320, 350,  3408,
    1792, 600,  3471, 1042, 3938, 772,  3465, 1553, 284,  1176, 1441, 2129,
    3265, 1859, 2543, 1451, 3293, 1511, 622,  589,  448,  314,  269,  2332,
    1586, 1276, 2858, 3514, 2718, 3879, 404,  2661, 3884, 2834, 1309, 317,
    3477, 296,  2324, 469,  2782, 2577, 451,  2036, 625,  2573, 3690, 2124,
    2329, 489,  3555, 3344, 3595, 784,  2986, 359,  1181, 3273, 444,  367,
    2124, 2455, 2401, 2714, 886,  1979, 648,  451,  3000, 2783, 633,  3341,
    3778, 2692, 2524, 1661, 3201, 1229, 272,  1810, 1149, 1133, 406,  1409,
    1671, 552,  1654, 3186, 2122, 2845, 869,  435,  3432, 2083, 3623, 2599,
    4021, 296,  3639, 2879, 1579, 3645, 3044, 3190, 1215, 3570, 2608, 721,
    2170, 161,  356,  1999, 354,  4027, 1391, 1827, 211,  2186, 298,  2622,
    482,  2935, 1123, 862,  2943, 3198, 241,  279,  1107, 2559, 3157, 463,
    2320, 1888, 1461, 3537, 2545, 1402, 889,  3151, 2204, 1454, 2917, 407,
    1340, 770,  1570, 505,  1061, 280,  2189, 2695, 1219, 1543, 3452, 3179,
    1323, 396,  1474, 3244, 2497, 890,  2264, 3671, 3317, 2134, 3040, 3428,
    2705, 2077, 1544, 3033, 1662, 407,  2706, 2820, 2444, 3167, 985,  3673,
    571,  1195, 2505, 2494, 535,  3772, 391,  167,  202,  3650, 3256, 2201,
    1256, 2256, 430,  1428, 3336, 1762, 1859, 631,  3095, 297,  2984, 1243,
    2735, 3347, 336,  363,  1065, 350,  2304, 2800, 3946, 550,  2509, 258,
    1343, 3313, 474,  582,  329,  286,  1689, 972,  2841, 320,  408,  2161,
    3184, 165,  1002, 429,  2146, 3091, 1486, 3836, 538,  3237, 3453, 1044,
    317,  3333, 1896, 286,  2883, 1747, 3077, 1000, 2774, 319,  2718, 244,
    346,  1369, 2699, 2620, 321,  2118, 470,  681,  477,  565,  320,  558,
    2214, 589,  219,  3866, 2777, 2654, 2526, 3775, 1805, 2923, 986,  961,
    3527, 2668, 3363, 393,  1025, 1730, 2773, 1823, 1321, 3699, 2970, 3153,
    2288, 2989, 2227, 1808, 263,  1918, 3753, 437,  448,  2637, 334,  2619,
    189,  223,  324,  650,  2150, 488,  3185, 3003, 1687, 3021, 501,  341,
    4064, 494,  101,  4093, 2045, 675,  767,  447,  2732, 3556, 1452, 1233,
    3366, 1917, 2755, 4058, 2278, 1129, 1976, 2704, 2344, 2840, 293,  495,
    701,  1016, 2242, 279,  342,  2066, 1342, 2477, 2447, 2248, 378,  701,
    1192, 3811, 2196, 376,  3162, 1825, 3677, 2472, 2600, 368,  355,  2832,
    3978, 3668, 1871, 2466, 1491, 491,  1245, 2377, 309,  3941, 3851, 3511,
    131,  119,  364,  1389, 2055, 1997, 1931, 2081, 260,  305,  324,  1852,
    1200, 3487, 3893, 1944, 2237, 2322, 675,  1800, 2683, 85,   2730, 1695,
    3808, 3563, 655,  299,  454,  137,  2618, 3820, 3083, 202,  961,  2656,
    3901, 552,  2716, 3659, 397,  4014, 1882, 2649, 278,  3585, 1005, 3648,
    1427, 1712, 3561, 3424, 671,  914,  2972, 65,   119,  306,  1722, 883,
    3478, 2864, 2415, 3418, 438,  1325, 2339, 437,  390,  336,  1067, 584,
    3412, 1383, 366,  3007, 2685, 3656, 3177, 3803, 903,  3535, 1780, 3922,
    1318, 3259, 1603, 2148, 245,  1630, 3259, 2367, 1810, 2088, 3424, 241,
    339,  483,  1478, 2766, 2162, 4042, 162,  1172, 343,  4034, 755,  2805,
    1963, 1589, 2912, 3054, 3053, 3303, 2949, 446,  418,  905,  992,  227,
    1052, 685,  557,  2297, 253,  3487, 1432, 484,  169,  2195, 4022, 932,
    152,  370,  1433, 3983, 3369, 361,  2069, 1941, 1682, 2082, 403,  1873,
    512,  776,  930,  2065, 1312, 231,  1051, 2507, 3567, 2273, 2413, 173,
    1909, 3019, 2841, 3794, 3189, 1626, 975,  774,  1087, 2220, 610,  452,
    262,  853,  4076, 2674, 2040, 1478, 1302, 321,  1848, 2981, 845,  353,
    308,  1235, 3069, 3370, 1222, 2056, 3441, 3360, 3742, 3045, 358,  2599,
    3943, 2786, 902,  3641, 971,  859,  4014, 1787, 479,  443,  2279, 1408,
    3263, 1929, 3944, 2146, 2601, 3200, 463,  3781, 3155, 3523, 2193, 3256,
    274,  2083, 3304, 2260, 1782, 698,  1495, 2610, 2420, 309,  3282, 1337,
    2435, 2768, 493,  842,  2575, 3361, 1712, 371,  294,  1353, 1867, 2599,
    603,  3582, 3312, 3320, 3171, 1841, 1329, 2325, 2997, 3352, 1282, 599,
    1719, 3953, 2958, 2467, 216,  1564, 1259, 3765, 471,  3115, 3482, 3360,
    3978, 3575, 1851, 3204, 1322, 2717, 4050, 3018, 1685, 2594, 1465, 1007,
    2601, 1517, 2627, 3140, 2398, 664,  488,  416,  2653, 4012, 1620, 2703,
    3218, 1388, 1835, 3157, 456,  1748, 2706, 1713, 2225, 200,  1114, 1922,
    3435, 3105, 602,  2367, 3886, 1704, 3898, 3962, 2931, 2417, 957,  1964,
    3642, 3714, 1794, 2931, 3621, 420,  2488, 3810, 2328, 2626, 3348, 3266,
    1916, 3575, 166,  632,  2105, 950,  997,  563,  1252, 1522, 4065, 288,
    3425, 3230, 2847, 312,  3654, 179,  2698, 2909, 2554, 623,  3810, 3883,
    2615, 341,  810,  1805, 373,  2244, 4084, 200,  184,  3627, 459,  296,
    3172, 3869, 3717, 239,  1750, 2257, 1943, 1332, 4057, 1450, 3545, 365,
    756,  1287, 1142, 3749, 337,  382,  2391, 2992, 3619, 2113, 470,  1822,
    3469, 2879, 3241, 115,  1964, 118,  3530, 3885, 1412, 3443, 3700, 3695,
    1681, 2094, 1031, 1530, 356,  3383, 2634, 1387, 2355, 2921, 791,  2750,
    676,  3641, 991,  2541, 447,  3434, 1763, 418,  3474, 2948, 532,  415,
    3649, 2544, 1764, 3434, 3676, 1361, 2775, 1797, 1314, 2625, 286,  487,
    372,  2522, 2840, 429,  1392, 3418, 3536, 1911, 1662, 2045, 845,  1059,
    139,  3953, 3647, 877,  1624, 398,  3566, 433,  2715, 1321, 2362, 3555,
    180,  218,  2399, 131,  1163, 2868, 3142, 2235, 3256, 875,  1163, 3299,
    433,  885,  381,  2853, 1134, 3669, 2671, 2100, 2442, 1284, 3806, 3103,
    485,  3717, 3035, 4040, 608,  354,  462,  1151, 3619, 623,  463,  3713,
    196,  3359, 462,  3182, 2454, 488,  357,  3217, 172,  271,  3699, 1759,
    3788, 768,  3441, 3494, 1263, 3332, 2168, 3841, 1644, 2901, 484,  1368,
    246,  117,  2233, 850,  440,  3475, 487,  3844, 717,  3247, 3870, 702,
    1238, 1643, 1951, 1830, 3758, 1088, 221,  362,  3840, 1298, 2681, 1431,
    2917, 3741, 3165, 2983, 2625, 2140, 2929, 413,  3298, 2403, 2378, 3584,
    3837, 1753, 1534, 2713, 897,  2305, 1134, 883,  258,  393,  2903, 3272,
    3255, 1544, 4020, 307,  2231, 2114, 1012, 3666, 3172, 1255, 1325, 2789,
    3744, 3973, 348,  3152, 2656, 3615, 754,  3072, 2761, 248,  2317, 3934,
    287,  4091, 3773, 695,  4036, 3878, 771,  3704, 181,  2331, 3963, 295,
    102,  3406, 2590, 4054, 323,  2535, 176,  946,  3235, 2768, 811,  1346,
    2868, 3682, 763,  143,  429,  2112, 469,  2026, 1322, 2888, 541,  422,
    2143, 452,  227,  2492, 2789, 2491, 479,  2097, 1633, 1281, 1604, 1232,
    3856, 2525, 2266, 1715, 1866, 3666, 416,  268,  2699, 893,  69,   4005,
    728,  2635, 686,  1424, 253,  3951, 1112, 3538, 530,  1956, 2120, 452,
    2875, 3029, 4096, 3723, 2048, 1243, 1185, 2099, 3999, 282,  2673, 2481,
    833,  1037, 418,  1830, 394,  3788, 1820, 1913, 3160, 1682, 3116, 3417,
    3236, 2310, 1213, 378,  416,  1647, 3414, 1333, 291,  3453, 3719, 475,
    3301, 256,  681,  2013, 2612, 348,  2884, 1443, 3132, 282,  1436, 2054,
    2114, 409,  2492, 321,  454,  2846, 257,  716,  3322, 2414, 3849, 1930,
    3117, 3038, 2858, 2734, 2481, 3886, 3386, 2730, 1174, 3816, 1181, 2908,
    1173, 587,  427,  1738, 1138, 1303, 3448, 653,  2288, 3251, 1081, 2519,
    2468, 481,  1471, 359,  2165, 2489, 2687, 3493, 2680, 354,  3163, 1438,
    411,  3103, 2133, 3913, 2350, 254,  3777, 314,  320,  645,  254,  981,
    382,  413,  2888, 3100, 485,  1812, 1509, 1239, 231,  1838, 395,  1798,
    1618, 441,  665,  1323, 2307, 2349, 669,  402,  2648, 3806, 2030, 2277,
    588,  3974, 2454, 1766, 737,  2555, 2798, 755,  1562, 303,  2411, 383,
    3205, 2542, 3058, 4092, 770,  2175, 3023, 263,  3449, 1889, 1278, 3880,
    411,  1367, 2993, 3935, 2363, 277,  440,  260,  640,  2640, 3350, 379,
    3604, 1052, 521,  300,  3407, 344,  1649, 1356, 2759, 3006, 2537, 1953,
    3863, 3644, 172,  3143, 3319, 3815, 1911, 3220, 1108, 885,  2439, 100,
    1300, 3833, 2833, 457,  2831, 1755, 1920, 2318, 3123, 1580, 3275, 3991,
    2453, 703,  693,  481,  694,  415,  3915, 1174, 1930, 2360, 1893, 1124,
    1224, 2526, 2973, 3761, 592,  3921, 310,  4008, 3951, 434,  2092, 2073,
    2872, 3941, 2277, 424,  455,  2243, 2192, 2956, 1231, 3437, 2238, 3099,
    3597, 482,  1438, 1014, 1041, 2563, 3467, 2018, 3816, 197,  993,  1262,
    2842, 1857, 277,  3519, 1572, 2727, 2288, 3511, 2676, 2724, 2375, 2592,
    1082, 2476, 4072, 1380, 3906, 3819, 109,  3475, 1988, 1662, 1939, 2485,
    929,  3683, 1496, 2695, 483,  1761, 234,  621,  2024, 2761, 3964, 1829,
    2546, 3283, 550,  380,  1913, 2725, 454,  794,  3673, 2410, 276,  2614,
    1294, 2841, 426,  2553, 813,  2959, 2106, 2050, 1535, 2553, 2896, 1316,
    2902, 187,  1462, 822,  2531, 408,  414,  2257, 962,  481,  3230, 749,
    3311, 3276, 3812, 142,  3967, 3737, 3436, 1395, 1616, 3146, 1806, 357,
    1312, 3262, 760,  3514, 1611, 2573, 1906, 4071, 3782, 4040, 3485, 2513,
    2875, 1723, 3564, 3752, 160,  584,  931,  2327, 2082, 590,  4090, 158,
    489,  3804, 2545, 1078, 923,  1410, 3980, 3754, 234,  1557, 190,  768,
    1621, 4053, 3119, 1508, 498,  2522, 478,  1685, 2120, 4017, 3052, 2848,
    469,  1491, 439,  1069, 2639, 1633, 338,  1515, 715,  453,  666,  4049,
    3796, 1092, 472,  3438, 1354, 807,  1394, 737,  168,  1174, 1063, 2229,
    2960, 2981, 380,  3698, 1735, 412,  3033, 728,  4056, 3979, 398,  325,
    552,  419,  1902, 726,  3548, 2002, 400,  3464, 3574, 3331, 1559, 3963,
    412,  1274, 951,  988,  2071, 683,  2074, 287,  4048, 3146, 374,  1306,
    3792, 3067, 1508, 410,  476,  2368, 3739, 549,  3696, 2240, 3267, 3488,
    2191, 3914, 859,  655,  332,  482,  1340, 2745, 276,  1581, 2104, 386,
    2626, 1171, 3773, 710,  3786, 1244, 3396, 1975, 1648, 2192, 3548, 2709,
    1275, 2796, 276,  4010, 305,  3333, 2459, 842,  1742, 3719, 2531, 1800,
    3694, 3171, 2453, 1633, 1478, 227,  423,  2001, 403,  3496, 1531, 2499,
    1769, 209,  449,  2473, 87,   4048, 3233, 3379, 449,  3923, 3658, 815,
    3547, 1900, 1177, 1754, 626,  3212, 318,  1088, 1403, 2122, 1011, 164,
    2738, 2877, 920,  2130, 2169, 3470, 448,  3821, 2985, 935,  2281, 242,
    3049, 707,  3873, 2399, 1301, 451,  3206, 3820, 484,  1256, 3039, 3477,
    855,  955,  2133, 2249, 2502, 347,  1098, 2758, 4037, 1378, 4092, 2631,
    150,  2428, 1216, 2844, 438,  947,  2611, 3672, 574,  2799, 2914, 2663,
    2536, 3094, 539,  3667, 2913, 281,  2886, 194,  1677, 2086, 974,  1073,
    2386, 1980, 1716, 480,  414,  803,  782,  3008, 741,  1362, 2682, 3071,
    270,  495,  1326, 2971, 2647, 3282, 3252, 732,  3308, 1251, 910,  260,
    1764, 434,  935,  2057, 1592, 3862, 1362, 2584, 210,  1905, 1991, 3229,
    1624, 2715, 983,  2889, 411,  1687, 2125, 2471, 248,  284,  2515, 224,
    97,   2722, 1020, 484,  2120, 1206, 1135, 3396, 247,  1209, 3291, 3419,
    1457, 2690, 3456, 2810, 3762, 2080, 324,  3870, 83,   691,  327,  3038,
    282,  1115, 183,  2693, 827,  1784, 1666, 3129, 3399, 1369, 3375, 2544,
    554,  808,  2185, 2217, 2370, 2310, 1709, 806,  1495, 2641, 2051, 1826,
    3112, 308,  2916, 1180, 340,  981,  2393, 467,  3376, 333,  179,  240,
    3420, 2638, 2733, 2867, 1085, 760,  1245, 1090, 1617, 3003, 1969, 146,
    498,  3501, 1124, 3701, 372,  3919, 3387, 2778, 1454, 1261, 2660, 3780,
    1003, 107,  1111, 417,  375,  596,  509,  3076, 1802, 420,  4033, 489,
    387,  987,  3693, 442,  303,  3225, 3110, 1994, 2093, 325,  383,  2218,
    2077, 2236, 4043, 779,  273,  1909, 543,  318,  2364, 3393, 368,  391,
    479,  1535, 3581, 1277, 270,  1002, 835,  133,  3591, 406,  3380, 2057,
    1506, 2751, 231,  3216, 1445, 1434, 2796, 1020, 3788, 481,  2480, 388,
    3620, 3148, 3193, 2541, 672,  418,  777,  3910, 3451, 1921, 2779, 2323,
    3433, 3468, 493,  3819, 3090, 2323, 3341, 2981, 453,  3292, 347,  2097,
    280,  3427, 2400, 3482, 3539, 185,  876,  288,  1105, 2011, 1114, 2433,
    2924, 1050, 2441, 480,  3793, 348,  2788, 1638, 2556, 2623, 3861, 1710,
    3566, 2919, 2390, 2501, 2589, 2103, 3662, 2552, 172,  3750, 2709, 1003,
    1050, 798,  2429, 3494, 2983, 1202, 2712, 1137, 3380, 752,  340,  991,
    169,  863,  726,  2160, 2408, 345,  457,  2085, 2482, 252,  334,  3622,
    1334, 802,  1490, 959,  203,  2815, 880,  3348, 2608, 380,  1558, 3876,
    1642, 1692, 235,  3517, 386,  2267, 291,  3828, 2873, 3655, 2392, 2843,
    447,  662,  2445, 1642, 1007, 3942, 216,  3396, 1270, 3546, 423,  4078,
    3605, 4055, 2743, 1229, 353,  3890, 2319, 1926, 2858, 2047, 2229, 855,
    4068, 3989, 1088, 3406, 476,  277,  457,  2348, 1161, 2996, 1726, 3547,
    1694, 636,  497,  2930, 3034, 1040, 1249, 318,  325,  865,  1369, 3637,
    3348, 3437, 798,  397,  1402, 426,  2764, 3684, 2609, 2574, 3515, 1459,
    1432, 1445, 464,  2191, 2946, 2456, 2496, 3116, 2938, 2889, 2139, 839,
    3902, 424,  183,  451,  3087, 2343, 436,  1065, 2279, 2020, 3629, 3720,
    1355, 504,  284,  360,  1150, 271,  705,  2112, 318,  3626, 305,  2434,
    1524, 1098, 3322, 1903, 2532, 322,  2538, 4007, 348,  200,  221,  1577,
    4024, 1131, 2354, 3061, 3001, 4011, 1194, 1729, 949,  1938, 1102, 1351,
    3650, 220,  3639, 255,  1715, 3505, 3191, 416,  401,  710,  2821, 1070,
    3580, 2387, 389,  241,  1976, 1995, 3445, 3415, 2939, 814,  4080, 722,
    3388, 1221, 1341, 994,  3702, 474,  263,  1845, 749,  1156, 378,  1106,
    451,  2602, 2183, 2381, 2698, 445,  3440, 3130, 338,  832,  284,  360,
    2898, 2326, 407,  1803, 412,  1566, 3463, 2058, 1739, 1433, 2557, 426,
    465,  3363, 2194, 2796, 2602, 3588, 3858, 1219, 2099, 458,  984,  3935,
    224,  840,  2818, 868,  1184, 442,  3390, 3456, 486,  2670, 924,  428,
    2168, 1236, 1695, 3028, 1151, 824,  612,  1981, 3442, 3881, 1676, 275,
    3991, 3041, 1223, 2604, 2726, 722,  438,  2511, 396,  452,  2292, 3630,
    1463, 1427, 471,  3068, 2755, 1053, 2786, 305,  1904, 2566, 2922, 3288,
    870,  3898, 2542, 2552, 1004, 2519, 1239, 2856, 1541, 1507, 1448, 3297,
    844,  409,  463,  2196, 1752, 3295, 2401, 1489, 1757, 381,  1285, 2399,
    1197, 3394, 3722, 4086, 3514, 2773, 2252, 489,  3949, 645,  4011, 3565,
    277,  1394, 2485, 329,  2677, 1336, 3584, 934,  1041, 2574, 2338, 425,
    840,  2993, 985,  1196, 1123, 852,  344,  376,  342,  63,   1008, 928,
    2804, 1094, 1977, 2000, 193,  409,  151,  1413, 1708, 435,  3373, 925,
    1184, 813,  391,  2382, 734,  1096, 3969, 934,  1942, 2373, 864,  1973,
    3012, 1222, 3613, 226,  3494, 2788, 2236, 352,  1447, 2961, 3681, 4009,
    3750, 2873, 1603, 2037, 2658, 3378, 3208, 3988, 1479, 966,  1059, 2397,
    3922, 464,  2285, 1101, 2205, 3272, 1319, 2704, 2286, 3833, 1148, 2944,
    270,  404,  1438, 2976, 818,  2480, 2361, 3703, 1331, 1107, 3799, 3577,
    2900, 347,  1849, 2423, 3347, 429,  3428, 607,  494,  2103, 378,  1904,
    1749, 4013, 1481, 292,  1799, 444,  3536, 1451, 2036, 374,  357,  2019,
    101,  1928, 1466, 3610, 90,   2072, 3728, 717,  245,  1361, 3276, 3982,
    2920, 4077, 519,  2693, 106,  750,  3706, 489,  3949, 1689, 383,  2662,
    3550, 2754, 2379, 108,  630,  142,  1685, 2295, 3441, 3890, 1590, 2895,
    2766, 3839, 1821, 3162, 2088, 2334, 1854, 341,  2301, 1755, 2864, 1774,
    3618, 3210, 2012, 1413, 2571, 1159, 3317, 2770, 1920, 1209, 2915, 1623,
    2016, 2446, 1300, 323,  106,  849,  491,  1625, 390,  462,  2978, 3797,
    399,  373,  3362, 1345, 3294, 2824, 406,  3661, 3777, 467,  1846, 2136,
    2590, 243,  3174, 393,  2499, 192,  3405, 3138, 944,  744,  2115, 3404,
    2363, 372,  2497, 1585, 306,  1885, 575,  791,  1015, 1610, 1614, 2448,
    1991, 2995, 615,  2575, 4062, 1932, 315,  355,  1870, 396,  4085, 606,
    4078, 3340, 3687, 1536, 3362, 945,  1743, 2464, 3079, 3225, 3338, 2819,
    1673, 2520, 1690, 697,  1419, 2166, 2941, 3657, 829,  2389, 3034, 378,
    3838, 3205, 3858, 2180, 1162, 1220, 465,  2143, 3363, 2263, 1925, 3775,
    2474, 2250, 2918, 361,  629,  3933, 1233, 1967, 2614, 900,  3509, 3845,
    2958, 2781, 2312, 1902, 2333, 328,  183,  1127, 3760, 868,  293,  407,
    4059, 3316, 219,  2578, 311,  2570, 1925, 3266, 547,  3707, 4032, 2513,
    434,  1834, 2182, 872,  1672, 3722, 432,  2141, 2975, 359,  630,  3896,
    824,  3050, 3240, 2663, 2042, 3240, 847,  2374, 2078, 1965, 1144, 2506,
    3045, 421,  2091, 3326, 3466, 1950, 1196, 547,  377,  2928, 236,  2655,
    365,  2283, 3055, 396,  79,   3720, 2459, 646,  2867, 3178, 497,  2969,
    2564, 1217, 2188, 1614, 515,  497,  2620, 455,  182,  2853, 3845, 3813,
    2132, 2916, 2782, 1929, 1316, 3944, 1313, 1583, 3491, 494,  234,  2018,
    1535, 1375, 2745, 450,  1775, 1292, 3947, 2617, 1530, 2639, 2326, 2125,
    1401, 2774, 2017, 2395, 1079, 797,  1578, 403,  318,  773,  483,  1895,
    1193, 3047, 3513, 1665, 3647, 446,  3233, 222,  2337, 834,  3268, 3753,
    2304, 2596, 2450, 2816, 1499, 446,  3453, 2248, 3972, 3317, 2165, 600,
    3232, 1742, 700,  675,  1811, 1137, 1907, 2686, 2719, 2134, 829,  495,
    3865, 2129, 2126, 432,  4070, 119,  2609, 768,  333,  958,  1768, 2801,
    422,  3027, 2217, 2228, 2080, 1068, 481,  291,  225,  1386, 121,  1150,
    2159, 2631, 237,  2291, 3770, 2505, 444,  3715, 3875, 778,  3060, 3125,
    2362, 2154, 2726, 2275, 3957, 740,  2760, 1404, 2893, 1622, 1280, 2633,
    338,  693,  2627, 3007, 2389, 249,  3022, 292,  1540, 1833, 426,  1134,
    362,  187,  424,  2032, 3209, 1400, 485,  416,  2933, 132,  482,  318,
    569,  1363, 1630, 1020, 1236, 3544, 1357, 706,  3743, 1100, 2433, 1355,
    2819, 1392, 374,  897,  1935, 1278, 2607, 3081, 2253, 1918, 1113, 4075,
    2569, 2437, 2340, 3081, 1359, 1795, 723,  507,  3583, 3409, 1674, 3758,
    2259, 1332, 3032, 1230, 3724, 3080, 2476, 553,  1398, 255,  2226, 2695,
    436,  2894, 924,  1232, 1758, 3010, 1849, 2758, 3148, 3222, 154,  2362,
    435,  1964, 1497, 2197, 3058, 478,  3690, 3052, 3868, 1503, 460,  3779,
    1970, 663,  2770, 298,  2053, 1045, 407,  2449, 1657, 135,  484,  2803,
    4069, 2378, 1373, 2163, 3417, 339,  1820, 3950, 3838, 446,  372,  882,
    1071, 2775, 1322, 1909, 433,  936,  1122, 212,  454,  1837, 2026, 3412,
    1406, 2730, 382,  3843, 1033, 3891, 475,  3174, 2039, 344,  2478, 2152,
    1515, 895,  3226, 481,  3387, 940,  373,  3537, 2771, 1128, 3407, 3560,
    2063, 2763, 3602, 1165, 2758, 414,  1464, 1928, 3705, 980,  3846, 3632,
    1353, 697,  831,  1127, 409,  250,  3791, 1428, 369,  3378, 488,  3525,
    1822, 1751, 4002, 2163, 2741, 370,  3368, 497,  3574, 1383, 1180, 2911,
    1942, 384,  2891, 1167, 1310, 3219, 331,  2679, 3232, 2283, 3385, 2156,
    3051, 3362, 1264, 498,  3978, 1782, 366,  914,  1396, 2616, 3671, 1368,
    2968, 1958, 3938, 317,  120,  392,  3385, 2632, 2303, 1818, 3973, 1380,
    261,  148,  2219, 656,  2404, 3105, 1771, 3544, 2180, 2936, 1476, 1376,
    3465, 677,  255,  2342, 1977, 2776, 2642, 2032, 326,  2149, 1562, 1226,
    1218, 490,  462,  542,  1520, 3612, 1668, 2532, 1179, 291,  1828, 1646,
    4012, 392,  3585, 1729, 2106, 831,  2653, 3099, 1102, 388,  2427, 1976,
    1446, 1093, 1869, 2113, 2681, 1133, 2406, 1263, 2095, 2982, 1099, 437,
    2729, 406,  4083, 2738, 3817, 2470, 1511, 4050, 1571, 332,  3248, 2210,
    329,  1249, 2579, 704,  2002, 1605, 328,  1360, 200,  3250, 2011, 471,
    1376, 476,  175,  533,  3985, 3624, 2772, 542,  1299, 1169, 1575, 1349,
    2598, 3086, 316,  2358, 286,  2696, 100,  489,  183,  3953, 230,  668,
    2538, 60,   2335, 2147, 3021, 2198, 1661, 3731, 1274, 2144, 1257, 2885,
    1353, 945,  1782, 2781, 2647, 3405, 581,  1781, 3386, 2049, 436,  2567,
    1990, 330,  266,  148,  2258, 3762, 1951, 300,  471,  335,  476,  1367,
    3451, 2018, 1761, 2588, 2892, 1071, 578,  1823, 1947, 283,  3408, 3501,
    2894, 654,  2041, 1437, 1494, 4041, 275,  1219, 2209, 261,  3686, 1553,
    2411, 572,  3351, 2960, 968,  1270, 3097, 259,  268,  2059, 3177, 163,
    3634, 1679, 2410, 1706, 1721, 3419, 2852, 2024, 2621, 3614, 2967, 727,
    1360, 2001, 250,  269,  2697, 1390, 1814, 1364, 3423, 976,  485,  3461,
    1750, 1426, 556,  1121, 500,  1066, 435,  3300, 639,  2270, 266,  3733,
    2659, 1169, 2866, 618,  1565, 3275, 3928, 1774, 747,  1839, 2870, 340,
    454,  225,  968,  419,  353,  2012, 764,  3220, 3115, 775,  997,  2145,
    2463, 958,  3231, 1552, 321,  2825, 309,  2506, 1596, 201,  3150, 464,
    2509, 799,  119,  3516, 433,  2444, 2835, 3546, 3422, 1709, 743,  2783,
    913,  2693, 3046, 1201, 2551, 3905, 427,  375,  3390, 404,  1036, 448,
    938,  2938, 2865, 1570, 1604, 1864, 3300, 450,  2242, 2640, 1857, 586,
    1277, 3622, 3669, 3850, 2105, 264,  1672, 739,  2815, 2237, 2226, 1109,
    2234, 351,  4071, 1160, 1208, 2220, 3615, 4086, 1503, 477,  2890, 3783,
    3520, 496,  2885, 2171, 412,  3809, 470,  3059, 430,  3509, 1686, 496,
    3661, 393,  2410, 495,  3897, 561,  1104, 689,  1760, 1260, 2887, 2645,
    3286, 2169, 3734, 856,  2665, 3216, 1189, 1048, 369,  3257, 302,  2882,
    3005, 828,  2926, 1844, 2135, 2892, 2463, 1644, 2878, 240,  2834, 3102,
    1650, 3824, 1066, 1804, 3678, 3240, 2548, 2849, 474,  3692, 358,  3765,
    2073, 1772, 2871, 902,  2021, 249,  2869, 2601, 2527, 2203, 3968, 2468,
    381,  2371, 1158, 398,  3903, 943,  1558, 3554, 1816, 2760, 1241, 1500,
    3312, 3605, 1916, 322,  2437, 1504, 138,  1008, 1914, 1643, 873,  468,
    1325, 359,  3696, 244,  2313, 3668, 3981, 3106, 2088, 3244, 607,  490,
    1626, 0,    0,    3835, 334,  736,  2684, 0,    3779, 3425, 3389, 349,
    3384, 2052, 2589, 4007, 2760, 559,  3175, 3028, 0,    1046, 0,    0,
    2990, 0,    3278, 3211, 0,    0,    0,    3063, 3243, 2427, 2194, 0,
    848,  642,  3832, 0,    3011, 2670, 2826, 2649, 3378, 3278, 3161, 2921,
    3822, 3903, 877,  0,    1281, 0,    2934, 0,    1860, 1091, 459,  0,
    1495, 3293, 4033, 2740, 3757, 1164, 0,    570,  0,    3759, 2475, 767,
    0,    2400, 1843, 2777, 0,    0,    2793, 2975, 1305, 1231, 3372, 2451,
    615,  2871, 3874, 1899, 1435, 3263, 1877, 3228, 3273, 3525, 0,    471,
    458,  0,    1080, 2816, 2741, 0,    938,  0,    0,    496,  3208, 4072,
    0,    0,    3632, 2014, 0,    3765, 3186, 2930, 1789, 3455, 1597, 0,
    1608, 0,    0,    0,    2392, 3940, 2514, 1111, 4044, 1338, 0,    0,
    0,    2807, 0,    1372, 2068, 3775, 2563, 2253, 0,    1552, 0,    3690,
    2685, 0,    3383, 1660, 3906, 3275, 0,    2838, 2483, 1103, 2538, 0,
    3611, 3559, 811,  2027, 0,    3338, 3648, 435,  0,    627,  1746, 3250,
    0,    2184, 0,    0,    1617, 3554, 0,    490,  1559, 2740, 415,  0,
    1586, 3301, 1594, 3895, 3436, 3588, 0,    0,    1638, 0,    0,    0,
    2979, 2523, 2461, 0,    0,    0,    2877, 3748, 0,    3533, 2791, 2354,
    2510, 2682, 0,    1896, 1944, 0,    2968, 1948, 2108, 2785, 3353, 1624,
    508,  0,    2767, 1946, 3694, 0,    1463, 551,  0,    2339, 2058, 2424,
    0,    3345, 456,  0,    0,    0,    1995, 248,  3958, 0,    276,  0,
    0,    3501, 4019, 0,    0,    3814, 0,    3234, 1004, 3807, 1090, 2937,
    384,  0,    3972, 0,    3540, 0,    920,  0,    0,    3625, 0,    3402,
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    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    2308, 0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    3563, 0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    3265, 0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0};

const uint16_t H_4096_8192_3d_H_cols[] = {
    246,  18,   415,  209,  51,   211,  147,  326,  266,  450,  459,  1119,
    227,  213,  9,    38,   390,  369,  624,  271,  30,   270,  59,   32,
    498,  1286, 482,  514,  154,  1027, 2,    14,   65,   625,  403,  7,
    281,  239,  592,  607,  18,   381,  394,  286,  416,  742,  662,  820,
    214,  129,  284,  22,   48,   49,   564,  127,  64,   12,   615,  44,
    224,  463,  12,   119,  199,  520,  1358, 1,    436,  397,  102,  94,
    414,  259,  451,  3,    443,  135,  21,   368,  70,   162,  286,  236,
    728,  36,   5,    305,  363,  568,  93,   431,  72,   37,   453,  35,
    393,  296,  317,  505,  41,   269,  367,  96,   59,   464,  221,  532,
    66,   81,   563,  120,  140,  32,   252,  314,  289,  217,  85,   289,
    394,  371,  44,   53,   94,   88,   4,    9,    715,  361,  455,  106,
    762,  253,  303,  352,  263,  189,  114,  391,  103,  822,  516,  357,
    573,  79,   87,   75,   33,   16,   257,  356,  237,  90,   35,   424,
    116,  119,  51,   838,  305,  76,   40,   309,  290,  176,  34,   236,
    280,  83,   58,   1052, 7,    179,  219,  329,  606,  292,  541,  338,
    178,  34,   248,  285,  63,   152,  185,  96,   97,   536,  20,   49,
    701,  148,  328,  269,  709,  602,  179,  93,   1257, 61,   718,  231,
    590,  85,   275,  499,  447,  285,  242,  22,   411,  55,   231,  623,
    46,   412,  58,   819,  608,  437,  96,   33,   838,  510,  136,  462,
    117,  370,  552,  385,  471,  514,  98,   315,  142,  294,  539,  217,
    9,    86,   557,  252,  103,  43,   539,  125,  24,   208,  329,  143,
    399,  84,   12,   101,  145,  27,   239,  411,  303,  306,  99,   219,
    264,  17,   128,  448,  185,  282,  620,  249,  82,   364,  492,  239,
    366,  386,  294,  122,  115,  394,  1,    315,  427,  222,  91,   26,
    312,  243,  335,  404,  336,  226,  338,  376,  962,  354,  273,  164,
    179,  499,  660,  166,  118,  17,   158,  168,  200,  82,   153,  100,
    173,  43,   248,  697,  74,   5,    80,   15,   396,  291,  1236, 152,
    613,  134,  2,    121,  85,   37,   126,  752,  193,  5,    347,  474,
    45,   507,  998,  25,   130,  350,  38,   195,  134,  520,  14,   693,
    12,   759,  425,  159,  214,  384,  389,  824,  278,  48,   318,  273,
    498,  65,   968,  340,  61,   553,  88,   342,  457,  165,  1,    160,
    149,  82,   13,   6,    39,   216,  172,  140,  461,  111,  873,  253,
    106,  128,  317,  137,  194,  99,   586,  68,   112,  259,  236,  251,
    159,  1201, 128,  115,  88,   41,   274,  791,  889,  288,  896,  13,
    1116, 562,  97,   68,   89,   278,  71,   78,   267,  178,  136,  933,
    1188, 710,  200,  374,  77,   943,  55,   194,  18,   485,  6,    437,
    283,  208,  164,  11,   224,  536,  373,  94,   148,  174,  57,   561,
    426,  12,   426,  72,   507,  236,  144,  604,  403,  5,    51,   231,
    11,   97,   59,   20,   583,  28,   166,  399,  53,   37,   68,   216,
    81,   87,   5,    305,  964,  47,   80,   723,  42,   490,  708,  427,
    1878, 314,  413,  62,   59,   177,  61,   1066, 739,  57,   141,  106,
    19,   411,  421,  66,   575,  228,  92,   246,  84,   466,  417,  1593,
    125,  1979, 1240, 217,  791,  729,  338,  1277, 984,  1376, 113,  481,
    1079, 922,  893,  1993, 1033, 127,  62,   465,  394,  385,  1515, 900,
    729,  1470, 1013, 1080, 171,  1512, 945,  207,  759,  997,  430,  282,
    878,  952,  760,  744,  1860, 788,  2493, 102,  327,  974,  224,  846,
    63,   565,  567,  1423, 255,  1024, 18,   1059, 1428, 2308, 328,  1550,
    1022, 740,  266,  867,  566,  68,   187,  884,  472,  241,  3179, 559,
    679,  117,  819,  307,  697,  980,  281,  587,  1020, 223,  191,  21,
    780,  1433, 152,  670,  2111, 225,  867,  190,  2412, 873,  497,  613,
    439,  209,  465,  1857, 302,  1958, 3060, 982,  258,  594,  775,  1242,
    781,  53,   85,   424,  114,  1008, 408,  6,    869,  441,  636,  1459,
    220,  934,  166,  63,   401,  944,  506,  1460, 831,  1012, 906,  824,
    613,  1390, 1743, 708,  110,  38,   155,  2058, 1271, 2638, 2243, 827,
    312,  1064, 532,  681,  1872, 811,  1159, 418,  2064, 2773, 492,  1685,
    844,  2682, 2669, 1414, 842,  809,  1575, 1012, 1919, 574,  909,  2577,
    579,  1254, 1078, 672,  1416, 151,  1778, 753,  1020, 2569, 1212, 614,
    714,  1439, 233,  650,  624,  22,   638,  775,  534,  547,  1724, 1126,
    3212, 949,  198,  1919, 1097, 556,  475,  1796, 2200, 397,  708,  739,
    55,   2264, 184,  1202, 795,  31,   2185, 868,  593,  311,  58,   1482,
    704,  2824, 7,    387,  1135, 2216, 1643, 1781, 1569, 627,  146,  226,
    1041, 1303, 310,  6,    1929, 1000, 2924, 726,  142,  224,  692,  84,
    178,  2813, 1842, 1365, 995,  237,  455,  619,  1281, 1715, 1239, 1167,
    116,  273,  976,  528,  1232, 287,  580,  974,  1686, 876,  72,   1638,
    104,  906,  597,  766,  2040, 449,  1555, 491,  2579, 421,  1983, 862,
    267,  604,  289,  814,  1639, 271,  800,  278,  418,  1305, 1539, 772,
    1365, 159,  394,  1468, 1026, 2634, 1328, 2382, 1968, 2658, 1130, 980,
    205,  685,  2003, 176,  1088, 73,   159,  1321, 2097, 2496, 554,  1163,
    764,  1583, 234,  1792, 656,  2108, 3017, 2376, 1603, 1986, 277,  2857,
    3217, 446,  2256, 1074, 1805, 487,  208,  506,  553,  192,  1532, 2228,
    416,  1364, 60,   776,  1268, 25,   1017, 37,   435,  1647, 398,  1234,
    1302, 1929, 299,  1042, 973,  77,   379,  408,  66,   884,  303,  1703,
    953,  513,  96,   1018, 851,  2514, 249,  658,  654,  92,   1598, 2603,
    51,   1244, 507,  616,  1062, 2235, 919,  286,  1602, 245,  105,  300,
    313,  922,  15,   137,  707,  363,  673,  361,  1689, 753,  511,  3242,
    796,  1327, 284,  962,  458,  133,  802,  2699, 140,  670,  175,  2615,
    283,  1186, 676,  666,  448,  426,  2884, 259,  2627, 50,   608,  407,
    1574, 2755, 213,  68,   684,  1279, 841,  533,  1523, 1554, 853,  1629,
    846,  103,  2223, 2024, 1029, 1298, 1278, 1270, 1263, 508,  2362, 772,
    1119, 525,  575,  39,   43,   676,  1721, 424,  314,  3349, 384,  1807,
    1036, 2113, 1745, 1140, 2527, 123,  872,  3849, 875,  39,   74,   984,
    45,   106,  27,   912,  202,  41,   693,  107,  402,  131,  768,  967,
    805,  524,  304,  282,  147,  967,  1543, 853,  836,  2311, 241,  265,
    1463, 1624, 188,  956,  27,   991,  2019, 249,  363,  196,  1408, 916,
    395,  355,  1792, 1508, 2166, 253,  2469, 1098, 1799, 1098, 569,  2431,
    272,  1630, 386,  182,  1041, 451,  232,  1648, 3263, 1680, 1531, 705,
    1609, 2557, 1113, 823,  1806, 329,  2180, 2163, 790,  764,  1276, 1000,
    1757, 22,   2052, 336,  1224, 2610, 1187, 1035, 314,  1768, 1950, 1587,
    181,  269,  744,  1701, 909,  460,  1477, 716,  969,  2197, 1203, 706,
    2180, 2239, 3501, 294,  968,  979,  1229, 73,   153,  249,  2277, 99,
    1875, 551,  461,  1572, 2174, 1519, 316,  1666, 3383, 75,   58,   810,
    1136, 2252, 381,  914,  1301, 800,  456,  1781, 1584, 799,  154,  372,
    467,  2836, 834,  112,  3073, 1331, 128,  564,  338,  1431, 560,  1169,
    939,  8,    20,   364,  3300, 144,  883,  400,  183,  2920, 2643, 42,
    1090, 3215, 358,  300,  842,  1605, 70,   404,  1761, 123,  1525, 523,
    1856, 548,  225,  3291, 969,  555,  692,  2366, 841,  2769, 1620, 878,
    86,   464,  70,   817,  447,  622,  515,  1306, 2713, 1156, 327,  66,
    131,  1247, 2683, 572,  1870, 747,  892,  1103, 1242, 1861, 2295, 770,
    129,  1739, 366,  1877, 513,  1940, 1845, 682,  711,  194,  201,  1268,
    2296, 1990, 227,  1109, 495,  2010, 637,  2513, 1560, 2023, 763,  526,
    591,  1630, 278,  1372, 262,  1616, 655,  2757, 553,  1521, 3102, 191,
    343,  785,  865,  2359, 724,  3195, 913,  1051, 2826, 1317, 2535, 1405,
    367,  1495, 1649, 123,  682,  563,  82,   1768, 904,  135,  433,  2886,
    107,  1661, 1908, 1127, 503,  1653, 964,  1440, 1127, 345,  2156, 36,
    2449, 1748, 1146, 519,  26,   1409, 1706, 953,  1322, 349,  403,  2304,
    583,  167,  649,  2506, 151,  2790, 126,  205,  957,  2689, 307,  1444,
    1854, 483,  446,  786,  781,  1947, 808,  375,  53,   669,  2118, 558,
    612,  550,  410,  2821, 1105, 3149, 518,  796,  1589, 828,  287,  124,
    581,  1670, 366,  1582, 1137, 365,  1870, 977,  81,   1654, 1304, 386,
    56,   241,  2168, 1281, 1344, 53,   336,  486,  588,  710,  89,   758,
    1045, 1401, 879,  17,   1198, 67,   133,  2391, 1379, 144,  2394, 1173,
    1824, 67,   2232, 18,   1360, 130,  3076, 905,  2827, 1103, 977,  2196,
    1117, 1744, 2688, 298,  684,  586,  1325, 731,  1370, 1529, 268,  1329,
    13,   209,  523,  2359, 1558, 1436, 2159, 2646, 1320, 348,  854,  501,
    1014, 2656, 1580, 136,  795,  1925, 1080, 2782, 1699, 82,   247,  2060,
    246,  2585, 1206, 1522, 887,  1152, 1536, 529,  693,  2167, 28,   1569,
    535,  399,  1400, 552,  1166, 1420, 426,  1928, 1096, 898,  1430, 797,
    1964, 226,  236,  1336, 844,  1231, 254,  1525, 2988, 1266, 783,  30,
    1658, 2345, 939,  352,  482,  1622, 791,  1414, 113,  490,  584,  316,
    481,  637,  204,  92,   1267, 365,  89,   1839, 1533, 1888, 883,  376,
    771,  925,  383,  979,  2565, 557,  788,  881,  471,  510,  420,  805,
    265,  902,  355,  2432, 2005, 201,  491,  666,  895,  1006, 223,  1415,
    1178, 1750, 1602, 125,  301,  2142, 1879, 154,  482,  713,  1162, 522,
    2018, 1231, 1941, 649,  1279, 327,  879,  662,  664,  995,  497,  1153,
    2235, 2085, 242,  358,  112,  1694, 61,   2071, 657,  630,  1914, 511,
    432,  95,   2291, 2242, 771,  257,  69,   65,   385,  1649, 778,  847,
    15,   1333, 2184, 210,  1410, 2382, 2039, 3252, 717,  664,  71,   2707,
    232,  1921, 466,  3,    604,  1532, 110,  798,  578,  561,  2101, 1825,
    1005, 2222, 26,   1141, 1910, 653,  458,  931,  351,  515,  811,  423,
    1085, 306,  1396, 142,  768,  1344, 992,  1772, 343,  2667, 177,  583,
    145,  1021, 743,  1348, 2182, 1956, 350,  1194, 48,   648,  2413, 668,
    483,  2434, 1513, 453,  447,  1323, 861,  1994, 379,  2065, 500,  880,
    332,  181,  339,  626,  1242, 291,  52,   2409, 723,  183,  754,  1454,
    119,  2423, 1069, 399,  96,   1025, 959,  1767, 2784, 1147, 1726, 121,
    1902, 708,  768,  34,   1468, 1952, 1586, 470,  173,  835,  1779, 1419,
    90,   1334, 1090, 216,  126,  1,    2704, 1408, 180,  282,  2218, 169,
    1765, 1321, 950,  732,  653,  189,  635,  76,   1544, 2484, 1662, 749,
    983,  217,  305,  1112, 1967, 923,  1121, 1230, 3760, 847,  12,   929,
    1388, 330,  605,  80,   836,  933,  1579, 265,  3242, 696,  627,  1014,
    1250, 952,  463,  1149, 724,  269,  1102, 2161, 2377, 276,  590,  511,
    966,  865,  2625, 2149, 1405, 398,  1069, 579,  960,  3211, 184,  1295,
    413,  630,  1156, 1955, 2949, 1041, 1161, 1049, 76,   1957, 2734, 1438,
    332,  1882, 2718, 42,   196,  1260, 1578, 1182, 1428, 329,  1772, 1099,
    758,  170,  555,  778,  1003, 1191, 685,  479,  1812, 774,  596,  153,
    2277, 319,  1241, 1189, 1644, 918,  1740, 258,  932,  496,  460,  54,
    1976, 2281, 103,  1927, 608,  167,  1006, 1426, 2588, 996,  2461, 1099,
    986,  1699, 1228, 1297, 749,  1271, 1636, 709,  2066, 174,  1547, 462,
    538,  260,  735,  1168, 1723, 496,  83,   637,  1343, 2203, 3290, 1009,
    317,  913,  1804, 290,  1992, 1353, 263,  2095, 186,  1718, 1332, 498,
    117,  362,  280,  761,  471,  105,  284,  2254, 1221, 1258, 943,  1063,
    787,  546,  2852, 111,  1033, 964,  1819, 91,   535,  840,  1615, 1906,
    515,  234,  2033, 220,  277,  1744, 180,  1811, 841,  371,  1044, 972,
    1114, 827,  876,  3116, 740,  531,  718,  1269, 1617, 157,  941,  71,
    1659, 639,  287,  1867, 1378, 3424, 75,   1663, 1451, 480,  618,  375,
    2682, 803,  1399, 536,  1697, 86,   997,  1347, 2046, 606,  73,   57,
    522,  2691, 54,   2514, 333,  1773, 1371, 320,  1043, 3141, 32,   302,
    334,  1193, 1876, 576,  91,   1101, 955,  377,  426,  1175, 543,  445,
    825,  590,  98,   894,  679,  1471, 1653, 2627, 2007, 1393, 3364, 208,
    264,  342,  16,   837,  124,  728,  1641, 1892, 271,  1826, 1730, 976,
    1289, 368,  1572, 1358, 1812, 1576, 264,  1457, 1086, 1054, 509,  1991,
    427,  662,  1690, 612,  330,  2021, 1282, 2689, 1338, 176,  109,  2100,
    751,  37,   57,   858,  2145, 683,  360,  756,  1272, 2801, 105,  209,
    400,  220,  1165, 212,  2906, 2021, 1663, 1372, 670,  1860, 250,  1142,
    1091, 471,  1496, 388,  235,  433,  702,  1444, 141,  2059, 2007, 46,
    274,  546,  292,  946,  732,  603,  444,  1091, 454,  276,  483,  28,
    2449, 321,  11,   856,  19,   134,  962,  1991, 482,  1202, 2415, 1370,
    259,  615,  235,  1411, 1138, 1294, 872,  1542, 2292, 2218, 49,   2894,
    1937, 1093, 1072, 766,  138,  192,  1203, 502,  119,  112,  494,  3137,
    393,  2040, 171,  2002, 656,  160,  1345, 2077, 985,  1752, 160,  51,
    212,  1923, 322,  297,  407,  598,  1023, 554,  588,  229,  1678, 1197,
    2458, 2984, 308,  1019, 412,  1613, 2677, 830,  2906, 339,  475,  14,
    477,  256,  820,  641,  1675, 227,  690,  311,  488,  1013, 535,  1345,
    1057, 475,  561,  137,  1271, 409,  536,  1617, 541,  712,  402,  940,
    518,  206,  1082, 2446, 1140, 508,  854,  318,  677,  1634, 161,  1226,
    991,  382,  928,  1095, 201,  894,  1094, 685,  1764, 671,  285,  1608,
    942,  1924, 2626, 1842, 359,  2099, 187,  213,  23,   62,   1477, 1750,
    1514, 1702, 318,  1028, 1944, 678,  139,  1791, 428,  849,  82,   808,
    2423, 1742, 560,  1498, 772,  2324, 97,   580,  1891, 541,  1124, 480,
    341,  179,  527,  243,  2979, 128,  64,   3512, 1424, 100,  953,  1220,
    2055, 994,  2247, 2954, 493,  2025, 2347, 577,  354,  504,  478,  498,
    701,  683,  3560, 761,  793,  3173, 2041, 1643, 2325, 869,  651,  551,
    364,  74,   611,  682,  2349, 2344, 468,  806,  299,  1725, 1288, 124,
    21,   878,  890,  406,  185,  570,  2249, 773,  955,  35,   1262, 638,
    3536, 1510, 335,  1185, 952,  1525, 325,  256,  316,  18,   1739, 359,
    1619, 667,  228,  139,  671,  1025, 814,  2144, 725,  367,  1061, 1298,
    2297, 640,  741,  1399, 779,  3042, 408,  3041, 2200, 347,  1701, 1722,
    254,  210,  575,  129,  1149, 1960, 452,  1207, 117,  1099, 2026, 1486,
    639,  448,  1898, 1016, 2022, 450,  345,  479,  140,  69,   155,  954,
    1379, 2312, 340,  1352, 373,  215,  1822, 923,  47,   414,  609,  1540,
    319,  1569, 304,  428,  542,  829,  380,  163,  984,  1089, 447,  419,
    562,  1749, 3306, 171,  1559, 922,  319,  1049, 894,  927,  2368, 2907,
    2361, 242,  2942, 944,  1256, 690,  232,  730,  386,  1713, 78,   821,
    195,  1339, 500,  392,  87,   1741, 355,  237,  297,  825,  1712, 182,
    622,  1992, 1448, 893,  1347, 1104, 1326, 310,  524,  1355, 1625, 561,
    809,  437,  1730, 633,  467,  665,  156,  1034, 390,  2967, 226,  999,
    290,  862,  918,  1056, 1576, 1378, 1751, 59,   552,  1893, 309,  628,
    1308, 204,  1537, 1734, 1441, 1628, 1288, 276,  3047, 1587, 1181, 998,
    149,  1808, 1224, 545,  295,  120,  859,  539,  2065, 266,  45,   1473,
    741,  118,  988,  377,  375,  2806, 2404, 755,  203,  2381, 559,  179,
    3055, 898,  1511, 125,  1855, 66,   618,  1632, 304,  1413, 1591, 74,
    823,  385,  102,  890,  258,  248,  308,  921,  25,   2090, 1694, 267,
    642,  1850, 1195, 3193, 1442, 296,  1080, 1357, 521,  1311, 1123, 228,
    940,  2177, 34,   1255, 35,   88,   97,   1465, 2608, 2337, 333,  161,
    2673, 44,   268,  1126, 1090, 812,  668,  937,  696,  2545, 83,   686,
    365,  64,   84,   1114, 1997, 1629, 822,  1045, 213,  2153, 1586, 640,
    195,  230,  1369, 1633, 31,   1124, 1388, 1877, 206,  164,  2424, 1116,
    2300, 1634, 71,   2058, 934,  1249, 427,  110,  1804, 1255, 141,  1375,
    1198, 620,  1404, 540,  1882, 133,  681,  1595, 3403, 455,  2479, 1849,
    273,  737,  402,  1250, 2624, 1777, 596,  1758, 341,  3292, 1284, 784,
    582,  205,  1702, 411,  2140, 46,   219,  320,  852,  192,  505,  1595,
    373,  199,  194,  835,  1770, 24,   1112, 6,    147,  431,  1440, 1553,
    38,   194,  79,   1992, 1826, 155,  100,  838,  1544, 1938, 762,  1554,
    897,  533,  601,  1859, 2563, 162,  2693, 2171, 1053, 1477, 526,  611,
    52,   1217, 890,  61,   599,  1504, 139,  727,  3202, 571,  494,  1166,
    2520, 234,  442,  1503, 806,  1304, 1365, 104,  557,  499,  3122, 1235,
    77,   681,  458,  2188, 1085, 562,  565,  694,  15,   5,    1362, 2056,
    604,  567,  705,  198,  23,   1089, 856,  1117, 1341, 1851, 2210, 1101,
    651,  1652, 2191, 432,  341,  1356, 1530, 1833, 38,   1236, 235,  576,
    1239, 1163, 1060, 1016, 3612, 400,  308,  283,  1285, 1454, 552,  485,
    1969, 296,  418,  324,  648,  326,  839,  609,  891,  1037, 1354, 1958,
    221,  2983, 222,  1087, 2978, 434,  2397, 1921, 44,   270,  1260, 551,
    873,  396,  1230, 172,  2438, 1620, 1692, 1650, 792,  190,  1615, 1779,
    3433, 1959, 414,  1038, 1138, 42,   869,  2907, 1803, 623,  116,  755,
    368,  568,  2501, 1148, 1671, 206,  195,  7,    145,  773,  838,  1170,
    2193, 864,  1053, 804,  2456, 636,  912,  1392, 643,  1175, 1015, 660,
    1476, 1205, 598,  1027, 848,  935,  938,  626,  2272, 165,  1070, 382,
    323,  615,  981,  1171, 1402, 789,  920,  1350, 1801, 2367, 93,   1133,
    1,    1688, 2050, 2383, 2315, 1155, 439,  1081, 495,  1792, 136,  240,
    285,  1390, 1488, 64,   101,  272,  2695, 393,  2256, 1895, 1880, 1391,
    2468, 625,  1259, 1789, 678,  1928, 855,  765,  108,  2352, 763,  17,
    1717, 2169, 2070, 491,  1073, 1232, 219,  1362, 917,  274,  223,  2713,
    629,  1009, 907,  30,   76,   789,  889,  618,  1010, 801,  830,  221,
    214,  1326, 581,  492,  1708, 563,  203,  454,  79,   115,  1302, 2274,
    1195, 211,  2366, 706,  1202, 2562, 2613, 376,  1240, 1487, 134,  1488,
    1537, 980,  1556, 337,  230,  1371, 1461, 100,  815,  2667, 3154, 936,
    818,  1732, 911,  2207, 343,  43,   477,  807,  1870, 455,  586,  1120,
    289,  794,  1387, 1762, 2316, 152,  895,  1000, 985,  1391, 539,  1233,
    850,  754,  654,  207,  211,  1002, 547,  135,  771,  479,  610,  2331,
    720,  787,  834,  691,  612,  103,  512,  1194, 489,  1773, 2492, 1594,
    173,  2230, 86,   855,  961,  3105, 1060, 1172, 156,  356,  860,  10,
    424,  625,  629,  1147, 1312, 2341, 293,  1341, 579,  1472, 29,   431,
    3353, 2559, 1324, 1607, 295,  2209, 658,  3035, 1646, 431,  975,  1541,
    2511, 114,  120,  1222, 1476, 439,  29,   1243, 1212, 550,  3135, 2479,
    903,  47,   2240, 1342, 48,   1619, 1034, 1484, 528,  1485, 1072, 3280,
    1361, 116,  61,   1510, 1956, 55,   292,  1504, 252,  2749, 1296, 1951,
    587,  1642, 806,  1311, 132,  755,  163,  362,  1211, 186,  244,  95,
    603,  389,  1741, 782,  2471, 1387, 966,  1410, 3014, 762,  1144, 168,
    3608, 1743, 960,  211,  2050, 376,  750,  1187, 357,  1854, 80,   328,
    1537, 1229, 193,  1247, 1310, 2500, 406,  963,  1363, 815,  665,  229,
    1050, 25,   986,  37,   1323, 10,   1109, 2714, 861,  478,  810,  829,
    2486, 2027, 1068, 407,  40,   945,  1208, 2305, 1074, 631,  41,   1415,
    2802, 180,  157,  899,  450,  677,  989,  970,  346,  1904, 1704, 207,
    315,  317,  474,  20,   655,  468,  1266, 228,  932,  2522, 1121, 2491,
    247,  432,  2343, 927,  1805, 98,   689,  688,  1322, 1921, 2783, 51,
    2333, 2690, 1522, 190,  669,  1244, 294,  659,  322,  1939, 556,  904,
    2011, 286,  32,   356,  547,  1733, 1821, 279,  712,  647,  2392, 1231,
    436,  902,  517,  416,  1007, 409,  142,  646,  3285, 2037, 7,    1295,
    1158, 1549, 1823, 381,  673,  525,  832,  143,  1135, 683,  262,  1906,
    1737, 303,  2032, 698,  522,  1714, 735,  476,  1434, 1465, 318,  218,
    295,  1358, 91,   2477, 2674, 1172, 987,  769,  1853, 391,  173,  766,
    331,  740,  1993, 829,  1684, 1965, 1474, 271,  2460, 634,  646,  148,
    2012, 661,  152,  134,  104,  197,  149,  1412, 1040, 555,  703,  90,
    2270, 2126, 2111, 1036, 169,  3186, 584,  1004, 1048, 1014, 617,  645,
    891,  1632, 1412, 972,  47,   870,  337,  2405, 688,  22,   938,  1877,
    1577, 1261, 353,  1493, 1872, 636,  19,   1267, 931,  1019, 916,  1431,
    122,  1628, 8,    109,  504,  115,  2156, 1136, 1293, 695,  2807, 635,
    175,  1665, 404,  2779, 672,  214,  1428, 202,  191,  1597, 2133, 745,
    244,  750,  1594, 107,  719,  1071, 28,   738,  269,  603,  1703, 321,
    1632, 361,  253,  1980, 2581, 2014, 29,   352,  2530, 2518, 1168, 92,
    337,  1470, 1210, 3389, 610,  248,  1727, 1570, 998,  1277, 1911, 3283,
    695,  1517, 33,   920,  1558, 323,  1658, 429,  910,  168,  1874, 2048,
    517,  289,  578,  951,  2017, 1011, 688,  998,  250,  2130, 90,   1001,
    773,  975,  1044, 396,  208,  643,  1904, 1696, 93,   2105, 150,  809,
    3000, 27,   1584, 1971, 1431, 1359, 1490, 1883, 1376, 1156, 2107, 1009,
    2771, 3541, 2304, 1256, 62,   714,  368,  1720, 415,  1681, 608,  2937,
    182,  2200, 1246, 423,  2215, 1385, 1001, 1957, 469,  5,    130,  633,
    978,  200,  1,    394,  925,  4,    1977, 1376, 450,  1298, 908,  765,
    1402, 274,  1631, 306,  69,   299,  442,  701,  751,  1274, 387,  957,
    1640, 162,  582,  1810, 832,  875,  2670, 326,  230,  438,  966,  1455,
    324,  1296, 938,  285,  215,  884,  122,  334,  1479, 334,  657,  1320,
    1052, 3151, 1039, 621,  218,  1085, 918,  895,  1269, 1316, 335,  83,
    787,  756,  1337, 2447, 602,  45,   581,  832,  399,  736,  147,  13,
    1162, 1859, 2032, 1017, 11,   2664, 429,  101,  514,  196,  1875, 2267,
    372,  623,  549,  1278, 1583, 264,  217,  1301, 3158, 1734, 1965, 760,
    359,  2853, 1709, 1205, 463,  860,  1890, 60,   1816, 1196, 1363, 417,
    420,  370,  2653, 1184, 10,   501,  2598, 484,  1761, 999,  1604, 853,
    1695, 1141, 721,  185,  2030, 713,  617,  820,  1319, 965,  1526, 1973,
    1552, 783,  1292, 1671, 494,  33,   261,  469,  999,  156,  118,  2443,
    1186, 353,  188,  1674, 606,  757,  680,  165,  767,  347,  624,  1681,
    56,   1129, 594,  113,  336,  1549, 1654, 430,  797,  1193, 93,   333,
    193,  1395, 815,  1460, 1897, 566,  1013, 467,  379,  905,  598,  1805,
    1884, 1640, 1425, 267,  1700, 1447, 2325, 640,  242,  460,  930,  1516,
    2746, 350,  2396, 298,  3243, 592,  1132, 218,  473,  788,  2739, 1540,
    2672, 2159, 744,  340,  1964, 1301, 607,  387,  94,   137,  742,  686,
    302,  1523, 993,  162,  202,  620,  1171, 959,  896,  43,   2601, 257,
    1145, 777,  1089, 638,  1503, 2690, 344,  2217, 291,  2754, 715,  2012,
    888,  174,  575,  1082, 383,  449,  158,  871,  222,  1356, 1158, 2143,
    813,  360,  1285, 487,  346,  866,  253,  585,  833,  2221, 1207, 1326,
    2676, 497,  519,  1417, 2551, 1374, 971,  1684, 425,  725,  545,  186,
    371,  542,  1547, 143,  723,  14,   813,  1233, 67,   703,  570,  85,
    626,  1360, 851,  1961, 2693, 78,   1598, 164,  858,  677,  157,  322,
    3007, 1756, 1611, 433,  668,  1506, 1513, 2573, 413,  729,  855,  2376,
    262,  2774, 571,  1470, 1850, 128,  1291, 111,  1159, 3024, 1812, 1131,
    2728, 883,  859,  240,  1328, 1445, 897,  1163, 862,  1404, 767,  163,
    1553, 849,  1190, 485,  824,  595,  1386, 1210, 2406, 1786, 449,  476,
    2294, 920,  301,  1979, 470,  1668, 2261, 95,   1606, 243,  924,  1330,
    915,  364,  388,  1557, 248,  2,    706,  473,  826,  1132, 913,  633,
    260,  2132, 2483, 987,  652,  144,  342,  569,  801,  221,  54,   2245,
    1119, 804,  8,    1527, 1735, 634,  52,   703,  3487, 527,  3266, 505,
    2102, 602,  443,  3110, 1624, 1059, 1280, 1432, 1495, 1018, 1827, 2764,
    472,  2947, 1796, 378,  1737, 245,  1774, 519,  1200, 2208, 616,  650,
    1382, 529,  680,  245,  2122, 632,  332,  1546, 1674, 1321, 2934, 388,
    281,  1436, 344,  200,  1508, 2630, 730,  4,    1055, 362,  3165, 138,
    65,   1665, 24,   256,  187,  1155, 280,  970,  114,  559,  679,  1788,
    451,  444,  489,  946,  1179, 440,  138,  2686, 307,  108,  9,    58,
    111,  1409, 370,  313,  742,  605,  1101, 1637, 512,  728,  1609, 331,
    946,  1292, 1033, 1500, 238,  338,  1076, 59,   1140, 750,  1212, 1190,
    1588, 461,  57,   1157, 2943, 1452, 610,  2054, 1572, 246,  1978, 1862,
    1645, 1664, 850,  1164, 736,  49,   2882, 949,  1309, 34,   1408, 2676,
    272,  1942, 1037, 39,   420,  40,   4,    537,  1685, 94,   1007, 293,
    1366, 711,  614,  1656, 1658, 2594, 2064, 1988, 360,  1061, 848,  132,
    630,  2364, 726,  1769, 1438, 2867, 797,  261,  1907, 849,  1306, 2324,
    1371, 1028, 283,  345,  1494, 1659, 656,  56,   1120, 87,   3235, 277,
    233,  486,  790,  1600, 215,  722,  1199, 769,  1016, 1437, 1100, 2822,
    293,  573,  2616, 456,  294,  692,  184,  2663, 409,  666,  136,  1939,
    1169, 2075, 50,   251,  1223, 149,  717,  3020, 441,  1759, 131,  326,
    958,  2250, 436,  644,  1218, 745,  1164, 661,  1254, 1106, 1183, 534,
    484,  354,  585,  3656, 733,  933,  580,  448,  2778, 1514, 1952, 229,
    369,  765,  516,  126,  1130, 991,  1325, 1339, 118,  973,  2839, 1357,
    2819, 279,  1786, 2727, 1386, 1580, 1636, 1095, 480,  237,  669,  574,
    225,  652,  1548, 1980, 617,  1150, 472,  985,  1960, 935,  106,  255,
    1710, 1926, 1279, 1124, 702,  1121, 1722, 2159, 3284, 1753, 1268, 499,
    631,  380,  760,  284,  1383, 2957, 1996, 23,   1195, 2128, 3,    464,
    2804, 2466, 1544, 425,  97,   3220, 278,  508,  1780, 35,   16,   1310,
    719,  1189, 2794, 1418, 2946, 1174, 857,  2372, 2174, 371,  243,  1699,
    641,  1263, 1062, 2789, 410,  189,  664,  589,  675,  1403, 2039, 854,
    63,   1238, 357,  716,  1351, 2624, 3076, 1616, 177,  1234, 542,  129,
    1868, 397,  486,  298,  647,  1403, 2586, 699,  238,  224,  1866, 1117,
    836,  1088, 2173, 1514, 415,  3189, 389,  1073, 1467, 2101, 1319, 1253,
    531,  499,  2136, 108,  973,  1768, 722,  1303, 694,  146,  2214, 273,
    1867, 1066, 524,  484,  2423, 1696, 41,   958,  115,  12,   1693, 1940,
    36,   712,  661,  808,  1131, 446,  470,  549,  285,  244,  257,  749,
    279,  452,  634,  1265, 424,  425,  327,  50,   446,  426,  727,  414,
    138,  825,  183,  348,  1252, 1385, 1197, 758,  173,  1459, 203,  647,
    1075, 939,  434,  291,  415,  410,  1939, 1134, 176,  816,  482,  591,
    514,  982,  685,  991,  476,  1063, 910,  75,   367,  364,  997,  404,
    363,  781,  947,  121,  445,  465,  666,  766,  270,  887,  1430, 5,
    752,  1173, 238,  579,  448,  399,  679,  613,  990,  177,  33,   480,
    239,  175,  736,  353,  1154, 184,  674,  521,  674,  697,  434,  475,
    1664, 458,  673,  150,  1106, 669,  454,  771,  107,  915,  939,  181,
    181,  665,  894,  924,  602,  386,  1048, 487,  440,  157,  415,  327,
    634,  1522, 891,  512,  1059, 534,  705,  101,  466,  312,  393,  1040,
    847,  482,  471,  166,  1277, 1225, 626,  441,  591,  843,  195,  640,
    271,  1062, 851,  629,  769,  559,  148,  317,  515,  220,  1182, 411,
    282,  319,  130,  843,  566,  535,  235,  1053, 332,  448,  584,  681,
    359,  1381, 223,  407,  671,  385,  467,  1578, 204,  432,  896,  453,
    644,  537,  680,  749,  316,  607,  698,  375,  369,  423,  1104, 235,
    205,  950,  355,  81,   1023, 568,  674,  810,  749,  609,  336,  325,
    1354, 504,  800,  803,  829,  309,  1262, 610,  962,  507,  877,  59,
    918,  959,  281,  627,  372,  1590, 574,  949,  1382, 472,  389,  318,
    1090, 668,  318,  631,  528,  555,  1000, 467,  718,  757,  167,  1358,
    313,  420,  851,  296,  887,  255,  599,  306,  233,  274,  556,  224,
    189,  326,  572,  973,  1230, 286,  31,   486,  223,  976,  1591, 796,
    649,  660,  576,  254,  613,  118,  516,  846,  252,  352,  1430, 447,
    217,  1133, 771,  586,  903,  460,  778,  199,  127,  572,  103,  361,
    516,  982,  268,  548,  970,  354,  429,  662,  720,  498,  576,  711,
    1497, 494,  279,  315,  585,  700,  691,  340,  176,  324,  170,  814,
    497,  206,  270,  251,  382,  780,  473,  953,  321,  79,   182,  163,
    1017, 546,  1456, 511,  962,  645,  592,  203,  493,  804,  251,  1215,
    358,  614,  917,  593,  91,   809,  1026, 1255, 333,  1101, 285,  445,
    338,  836,  685,  717,  38,   970,  983,  174,  769,  392,  567,  871,
    419,  50,   418,  511,  553,  164,  970,  428,  296,  1109, 99,   905,
    469,  362,  561,  274,  600,  137,  930,  16,   202,  292,  270,  565,
    784,  405,  1124, 657,  173,  395,  1302, 193,  212,  108,  808,  469,
    212,  364,  546,  492,  476,  1450, 956,  577,  597,  136,  558,  1004,
    1039, 843,  904,  644,  1201, 682,  343,  154,  215,  790,  179,  287,
    595,  632,  193,  1150, 1626, 766,  660,  561,  401,  1340, 57,   204,
    139,  830,  97,   1138, 1023, 262,  497,  19,   1019, 565,  1052, 146,
    348,  357,  154,  598,  523,  14,   967,  155,  825,  275,  803,  1300,
    648,  197,  591,  313,  346,  327,  111,  427,  737,  917,  374,  651,
    555,  109,  89,   456,  800,  250,  96,   1259, 1095, 72,   469,  1370,
    60,   968,  968,  902,  2000, 520,  435,  1230, 142,  428,  169,  1415,
    810,  172,  577,  132,  588,  477,  434,  106,  1010, 1071, 158,  275,
    1071, 2864, 1447, 2244, 908,  2241, 2058, 2142, 2519, 1324, 454,  2875,
    3276, 2523, 3315, 1510, 2494, 1687, 3091, 2083, 1963, 1915, 845,  986,
    794,  1198, 2071, 2758, 1049, 1789, 1813, 1551, 2335, 1791, 2492, 2921,
    845,  1787, 2371, 1275, 1755, 3704, 2543, 1858, 3478, 3473, 3265, 667,
    2053, 2083, 3239, 1170, 2251, 1228, 2704, 2880, 1255, 1978, 2903, 1641,
    1677, 3137, 1464, 2160, 1047, 761,  1038, 2933, 2132, 732,  734,  2670,
    2385, 2365, 3657, 2534, 2540, 3484, 2555, 1610, 2960, 1226, 1024, 1204,
    2685, 3136, 1866, 1125, 1026, 1966, 405,  1173, 2524, 397,  2229, 586,
    2772, 1216, 1384, 762,  2428, 1175, 786,  2717, 443,  2208, 3236, 1237,
    715,  1299, 1192, 2871, 1079, 923,  2257, 1840, 183,  3466, 2894, 490,
    2076, 779,  1478, 1852, 798,  1343, 1554, 300,  2747, 3105, 960,  2989,
    1784, 2927, 1923, 2532, 1011, 2307, 3485, 1957, 453,  1995, 537,  3691,
    1898, 2716, 3176, 1246, 1571, 2462, 550,  735,  3520, 2700, 2032, 3133,
    2236, 2986, 2536, 2412, 885,  3068, 3344, 2126, 1915, 2187, 2598, 2713,
    2004, 1638, 1185, 2768, 1588, 1663, 1151, 1541, 2824, 474,  1896, 2456,
    1633, 3168, 1776, 1563, 1254, 1783, 2219, 1221, 1601, 260,  888,  813,
    1999, 1803, 2490, 3425, 3618, 1354, 540,  3095, 1108, 1660, 1735, 2778,
    2771, 2197, 2334, 3353, 659,  2495, 255,  1913, 3521, 357,  2790, 1848,
    1657, 1427, 705,  1917, 868,  2902, 3299, 2622, 1954, 2647, 2042, 2208,
    1776, 1888, 833,  954,  2227, 2997, 573,  1592, 2196, 3301, 3577, 2114,
    2389, 602,  2585, 2737, 2072, 3719, 3811, 3002, 2116, 3094, 1926, 1238,
    3582, 2612, 1932, 1505, 719,  843,  1706, 2131, 1744, 2794, 1747, 1086,
    1720, 1201, 1079, 2164, 2457, 1890, 1727, 1786, 2377, 1296, 3074, 1234,
    2611, 3434, 2540, 1364, 1130, 1412, 3231, 1316, 3182, 2776, 2695, 3226,
    1991, 1936, 3180, 1007, 2375, 2088, 1884, 1909, 2121, 2731, 3492, 2802,
    2558, 3941, 2096, 2130, 746,  2472, 2194, 937,  1498, 1483, 1743, 2180,
    2994, 2822, 2308, 2431, 1752, 1851, 2086, 1980, 1995, 3269, 3570, 2890,
    2963, 2861, 378,  3273, 3399, 1323, 3619, 1517, 3128, 2047, 323,  3098,
    2451, 2635, 2752, 2874, 1054, 2166, 520,  1986, 1311, 1235, 1499, 1177,
    2213, 1652, 2184, 2974, 1869, 2247, 2345, 1718, 1495, 214,  1330, 1523,
    968,  2528, 2646, 2694, 2726, 2351, 881,  2876, 1458, 2921, 395,  1645,
    2276, 2111, 2303, 3140, 1580, 3555, 2084, 2663, 2240, 3568, 1192, 1558,
    1982, 754,  412,  3280, 899,  1643, 1038, 533,  1778, 422,  892,  1673,
    2650, 3092, 2340, 3698, 1109, 2785, 1213, 2134, 1250, 1637, 1679, 3508,
    860,  1145, 1993, 2958, 3888, 2804, 2316, 700,  2477, 1151, 3631, 392,
    3233, 342,  2087, 2883, 2359, 3226, 366,  786,  2069, 2402, 2147, 1264,
    2807, 2964, 2330, 3574, 1206, 1158, 3657, 3160, 2972, 1309, 3150, 1868,
    3202, 1264, 2866, 2317, 2797, 1462, 1332, 3318, 2261, 731,  2346, 462,
    1040, 3410, 2660, 2224, 1167, 2360, 2362, 1186, 2731, 3026, 1597, 3907,
    1267, 2865, 1329, 1545, 501,  1661, 1295, 3379, 549,  828,  1788, 1936,
    1900, 1984, 2243, 1865, 939,  1035, 2526, 1303, 2651, 1220, 2644, 1251,
    1683, 2538, 1236, 700,  3332, 2917, 1138, 1008, 421,  2554, 2513, 2422,
    1179, 1696, 2685, 2979, 621,  1374, 2079, 1703, 3148, 2036, 3181, 1174,
    2870, 3126, 2202, 2568, 3477, 3087, 978,  457,  1119, 1058, 2275, 3698,
    3489, 2179, 2760, 2097, 3487, 2766, 1606, 1493, 1824, 1435, 2254, 2415,
    2037, 941,  1518, 1115, 3550, 403,  2556, 3483, 2875, 2633, 1283, 1253,
    2044, 2868, 2610, 1902, 401,  1557, 1576, 3034, 1492, 571,  2040, 1213,
    2320, 3886, 1670, 3418, 2552, 2812, 3569, 331,  1647, 1791, 1316, 3071,
    1828, 2156, 2734, 438,  3494, 1975, 1714, 2705, 2493, 2482, 1297, 2316,
    3499, 251,  441,  2190, 1954, 2982, 2387, 1308, 1307, 2351, 600,  3347,
    1776, 2799, 1315, 713,  2605, 3171, 889,  528,  3976, 2986, 1901, 1787,
    430,  2607, 2454, 1196, 1452, 3086, 1730, 556,  3689, 3467, 899,  2008,
    3006, 3323, 3252, 1989, 1795, 3723, 2432, 404,  2974, 1691, 198,  616,
    2640, 1869, 2274, 751,  2076, 1507, 521,  3516, 1148, 3248, 1229, 3039,
    1950, 3424, 1662, 1370, 2285, 2315, 506,  2351, 2588, 2226, 2139, 1349,
    2724, 1211, 1593, 981,  3414, 3225, 3644, 831,  3770, 1541, 2101, 1236,
    1865, 2004, 3046, 2321, 1858, 1745, 2110, 2480, 817,  2339, 2869, 2877,
    1799, 810,  2252, 3553, 3896, 2899, 320,  1888, 3266, 2795, 942,  2972,
    2664, 2147, 1948, 1145, 826,  2118, 2378, 1564, 1774, 2434, 1273, 3493,
    2438, 3066, 3391, 2310, 1378, 3573, 1717, 3070, 3318, 3701, 2868, 2630,
    3290, 3006, 2899, 2009, 476,  1698, 1697, 1952, 838,  2755, 2029, 2738,
    1084, 759,  995,  3477, 2517, 3373, 2921, 1999, 3575, 3568, 1356, 2266,
    1811, 1999, 2422, 247,  2723, 2163, 2402, 1465, 216,  1547, 1829, 2342,
    3795, 1313, 1391, 3110, 1429, 1040, 1641, 3655, 1984, 2809, 488,  340,
    2068, 3804, 558,  2474, 2584, 2226, 2273, 2411, 2552, 3442, 982,  2911,
    1421, 1383, 2187, 1538, 2943, 2430, 1506, 3321, 1947, 3365, 2295, 1935,
    2902, 2093, 2143, 1127, 874,  2606, 1920, 1985, 1831, 1307, 2491, 1601,
    2357, 2236, 3837, 3036, 795,  2120, 2625, 2129, 2478, 947,  1501, 2104,
    2488, 1217, 3035, 2918, 1586, 1753, 917,  1711, 1707, 2395, 2250, 2509,
    1482, 446,  3049, 1500, 3046, 2646, 3771, 653,  2381, 733,  3873, 2255,
    3074, 2092, 2457, 2679, 1922, 3191, 2914, 1081, 1596, 2697, 1367, 2533,
    3617, 2098, 2765, 1968, 2204, 1475, 1272, 3756, 1825, 2390, 3474, 3251,
    2977, 496,  1950, 1648, 2462, 2726, 2395, 2944, 3559, 2178, 3342, 3688,
    2505, 2354, 1827, 3676, 1794, 2811, 3349, 3249, 2147, 3059, 2852, 1422,
    1136, 3776, 875,  1584, 1594, 2195, 2124, 1214, 2543, 2586, 1028, 2874,
    1472, 2733, 2317, 3444, 2940, 1084, 1652, 1929, 2691, 1265, 2346, 2864,
    3128, 2999, 2013, 572,  3711, 2455, 3213, 2146, 737,  2496, 1565, 1784,
    3008, 2743, 1181, 956,  2009, 2859, 1291, 1259, 2512, 652,  1746, 2119,
    1932, 2035, 3637, 1427, 1719, 1438, 1836, 2426, 2742, 2102, 1926, 2931,
    931,  1502, 776,  1083, 351,  2509, 889,  3007, 2441, 803,  2002, 1065,
    1715, 2107, 485,  3037, 1407, 1967, 2060, 406,  1913, 2805, 1982, 1010,
    738,  919,  2802, 3011, 2082, 1306, 2554, 871,  1426, 615,  1222, 3390,
    907,  3229, 1092, 2418, 2795, 2659, 1125, 2617, 164,  2687, 1355, 3879,
    3535, 1394, 2618, 2014, 1144, 99,   3542, 3889, 2695, 2561, 2091, 2168,
    1907, 2356, 928,  1875, 1827, 3638, 2388, 259,  2056, 3486, 2817, 3624,
    1629, 704,  1093, 2777, 422,  3041, 1853, 1765, 785,  3142, 1809, 2722,
    1649, 1687, 2550, 3200, 1908, 3129, 1581, 1988, 2929, 1492, 914,  1614,
    700,  948,  1082, 2353, 2165, 2443, 2941, 1693, 3562, 1997, 1155, 2597,
    2162, 3443, 2223, 1543, 1912, 1933, 791,  1390, 3325, 2462, 2505, 2095,
    558,  907,  3298, 2049, 591,  2729, 3325, 2571, 2788, 2273, 3244, 2453,
    1395, 3278, 2112, 3091, 3176, 785,  488,  3666, 1592, 2715, 419,  3534,
    2385, 1317, 926,  3370, 296,  2673, 2925, 1383, 453,  2787, 1219, 3957,
    3308, 1385, 2104, 757,  2467, 3182, 2133, 1738, 2259, 3183, 2746, 1930,
    2497, 1913, 3106, 2036, 2165, 3446, 3136, 1581, 339,  1294, 2912, 2595,
    1458, 1222, 3327, 1314, 2182, 3607, 1024, 770,  1072, 2616, 2363, 3471,
    2765, 2669, 3240, 1645, 1887, 2803, 1822, 2269, 2372, 1421, 1625, 2480,
    3774, 1961, 3629, 2604, 1839, 3497, 2570, 148,  3558, 1573, 3702, 994,
    3368, 1453, 1694, 1064, 1434, 2120, 845,  3273, 2740, 1002, 2895, 2201,
    2614, 576,  3144, 1164, 1529, 1273, 3201, 3877, 2172, 3593, 1785, 2913,
    983,  3600, 188,  2077, 748,  2717, 2887, 2154, 3354, 1676, 2050, 2367,
    3227, 2371, 3565, 2786, 3203, 3860, 3023, 2175, 2471, 1664, 1885, 1367,
    2269, 3245, 2805, 2383, 2082, 1977, 1385, 1063, 3439, 1998, 2142, 1023,
    2596, 1483, 1638, 3049, 2796, 1042, 2031, 3398, 1797, 2445, 2205, 457,
    1508, 1868, 2857, 1259, 2531, 3390, 2970, 2882, 1948, 1340, 2775, 3418,
    2761, 1497, 2831, 2937, 1686, 2312, 1990, 1900, 2941, 3525, 2929, 1276,
    2074, 958,  2922, 1555, 1111, 1928, 2820, 1627, 2297, 2234, 3001, 2785,
    2029, 3124, 3345, 3554, 1464, 1884, 3503, 1215, 3265, 3658, 1075, 2458,
    537,  1750, 2637, 2169, 2213, 1151, 3355, 863,  3728, 1447, 716,  2381,
    1455, 1912, 3069, 1152, 1496, 1688, 3232, 1716, 1484, 2127, 2148, 1052,
    2480, 1225, 1625, 3372, 1847, 3257, 2240, 1083, 881,  3674, 1901, 2264,
    887,  1516, 3287, 1191, 3693, 1245, 2763, 3303, 2080, 1664, 1052, 1799,
    2390, 993,  1423, 1056, 2074, 1910, 2798, 2047, 2162, 3479, 1224, 2967,
    2231, 3159, 1216, 1309, 3055, 2533, 3798, 1144, 2212, 578,  2274, 2733,
    2410, 720,  774,  1208, 1362, 3356, 589,  3408, 1474, 3082, 1374, 1845,
    3727, 3193, 1042, 3189, 1276, 2546, 2649, 1047, 1797, 2317, 2487, 383,
    2600, 1353, 1650, 1533, 1536, 3190, 1386, 1401, 1946, 2276, 3246, 2661,
    2748, 2750, 3472, 1003, 2447, 2319, 88,   1802, 1977, 2215, 2780, 2917,
    2414, 1848, 2638, 1681, 2542, 909,  1979, 2826, 2085, 2250, 1215, 2977,
    1333, 3265, 1809, 3133, 1419, 1432, 2408, 2576, 3231, 2027, 3796, 3078,
    1844, 1852, 310,  3144, 1272, 2796, 2413, 1557, 2652, 2798, 1252, 3006,
    2233, 3001, 1077, 329,  736,  1748, 2657, 481,  3096, 2739, 2500, 1434,
    1972, 1953, 513,  1790, 1600, 2853, 2930, 1759, 963,  2544, 1241, 1521,
    2219, 2073, 3240, 1252, 1507, 989,  351,  1375, 738,  1487, 2268, 2817,
    2983, 498,  826,  2382, 2892, 2001, 646,  1669, 2206, 2744, 1511, 2065,
    839,  1539, 3185, 2298, 2008, 1861, 317,  1905, 2701, 2086, 951,  2984,
    3383, 3753, 2785, 3243, 2291, 1194, 2164, 951,  1241, 314,  2606, 3127,
    1832, 1256, 1377, 3947, 1910, 3340, 1120, 2762, 4053, 1659, 2042, 3269,
    1293, 2524, 2016, 121,  1758, 1941, 1006, 3464, 2038, 1520, 1466, 804,
    1367, 2051, 2116, 1305, 3504, 3223, 1289, 2043, 1077, 2393, 2702, 1797,
    3498, 619,  2475, 4050, 3549, 1840, 1137, 748,  2408, 2775, 1057, 935,
    1903, 1209, 1230, 1781, 1280, 1102, 696,  1142, 2602, 743,  807,  3082,
    2020, 2231, 1519, 2724, 930,  292,  2671, 3417, 1179, 1274, 1350, 2890,
    1105, 1814, 1046, 3117, 1491, 1978, 3044, 2019, 1666, 1530, 2928, 1182,
    2085, 1343, 1800, 2113, 1476, 3276, 3062, 2259, 1461, 3717, 764,  877,
    1844, 3709, 3362, 2772, 3728, 1841, 487,  2364, 2447, 1018, 1667, 2173,
    2428, 2318, 1529, 821,  2425, 3403, 695,  2486, 1430, 3842, 2895, 3329,
    2313, 926,  2363, 2205, 374,  1864, 1911, 846,  3148, 2135, 1757, 3794,
    3664, 993,  2181, 1607, 3368, 1065, 3288, 3525, 2195, 3438, 3255, 3652,
    3010, 1055, 3425, 1954, 988,  1233, 3632, 1640, 1881, 3214, 2248, 2885,
    2332, 1220, 2650, 678,  1628, 1968, 1942, 1239, 3012, 2799, 961,  3224,
    567,  2199, 1585, 170,  288,  2964, 1905, 908,  911,  1893, 2592, 2027,
    1347, 2863, 1450, 1111, 3640, 1841, 2751, 1515, 2884, 3549, 3123, 538,
    369,  1073, 2299, 932,  3435, 2280, 690,  570,  2029, 1489, 2892, 3204,
    2468, 1176, 3676, 2712, 2337, 747,  897,  2292, 1429, 3519, 1051, 3416,
    2703, 2444, 3164, 1918, 1651, 2008, 1596, 2538, 2362, 2031, 3107, 2246,
    268,  2870, 2725, 1825, 3585, 2728, 1966, 1106, 2096, 2541, 534,  1462,
    1417, 2160, 2692, 1257, 1498, 3580, 620,  1763, 1125, 739,  3157, 2753,
    1621, 1771, 2658, 1748, 1718, 3283, 675,  530,  1286, 974,  1180, 1290,
    1924, 1108, 1335, 434,  1094, 2990, 3650, 3272, 3031, 3037, 2469, 1873,
    1775, 1491, 2931, 3592, 2514, 373,  3045, 2167, 1981, 3195, 239,  2161,
    3121, 2517, 1142, 971,  1675, 1850, 1917, 1676, 328,  1818, 1132, 2137,
    1550, 1032, 1944, 377,  1719, 2730, 2699, 1424, 3141, 1150, 2584, 799,
    1380, 2850, 2148, 1453, 1004, 710,  3312, 784,  3249, 3118, 914,  1281,
    1626, 3460, 1199, 1398, 1552, 1924, 2758, 1093, 2048, 2368, 2268, 401,
    1918, 3668, 1310, 1501, 2186, 2241, 2987, 3678, 1760, 2049, 1531, 2006,
    3394, 3437, 1953, 2545, 1035, 1855, 1277, 1817, 1883, 2469, 1906, 2264,
    3002, 417,  1648, 2398, 1107, 1683, 3103, 1561, 2840, 2911, 3113, 2244,
    1246, 3526, 1647, 1916, 3218, 2487, 1739, 2660, 2258, 275,  844,  3604,
    1946, 3432, 2336, 2288, 1445, 1707, 629,  3176, 1706, 619,  2861, 2649,
    1931, 3859, 1935, 1361, 1287, 1933, 2259, 3690, 3929, 1838, 2191, 2849,
    840,  2119, 3056, 1413, 2720, 2643, 2421, 2358, 510,  2215, 1102, 2349,
    2801, 2776, 1361, 793,  3498, 2195, 350,  2046, 2437, 1609, 782,  3244,
    1859, 2626, 1105, 2529, 2401, 1732, 197,  2308, 2287, 1927, 886,  2746,
    281,  2890, 2279, 2924, 1118, 1673, 3917, 2424, 210,  1530, 3219, 3279,
    644,  3567, 2455, 3228, 2762, 2661, 893,  3515, 1104, 3055, 3388, 2571,
    1857, 2653, 153,  1573, 2068, 1630, 2725, 792,  3304, 1810, 1762, 1760,
    3468, 944,  3404, 2712, 921,  1133, 2296, 1806, 2845, 2349, 1286, 1819,
    943,  3706, 1635, 1922, 975,  438,  2904, 1200, 3268, 127,  687,  2034,
    1091, 1443, 1876, 1874, 1902, 1566, 1187, 1592, 1795, 1031, 1751, 301,
    600,  1772, 2109, 2781, 1446, 1283, 1738, 2369, 1971, 2783, 3270, 1036,
    2540, 2923, 775,  2464, 1437, 2081, 1574, 2459, 3033, 564,  3856, 2628,
    2096, 1725, 1930, 1225, 942,  2028, 2025, 2699, 1017, 2504, 2038, 1128,
    3870, 2857, 3143, 1406, 3497, 1555, 2503, 1665, 1511, 2738, 3188, 1243,
    802,  2965, 3751, 1931, 2507, 1612, 1449, 2412, 2509, 650,  1990, 3331,
    266,  1735, 2206, 2416, 963,  1406, 2203, 792,  1872, 2288, 1324, 1852,
    1409, 2838, 2582, 2900, 1651, 2336, 3491, 867,  2737, 2127, 1775, 2415,
    150,  2092, 1157, 1022, 1533, 2907, 1513, 3323, 3850, 880,  822,  2781,
    1562, 2261, 1411, 1237, 2157, 588,  2356, 3672, 3448, 593,  1782, 758,
    1058, 2490, 2181, 3715, 261,  3695, 474,  2590, 4012, 1631, 2519, 2018,
    584,  4028, 1808, 839,  1417, 1030, 3304, 1168, 3679, 3021, 2956, 2511,
    2795, 1489, 2368, 2125, 4017, 2570, 1997, 2526, 1369, 423,  1539, 3150,
    3587, 1304, 916,  2000, 1185, 1531, 3648, 1885, 2822, 2391, 823,  2033,
    1209, 817,  1883, 3345, 2330, 2442, 1679, 834,  3092, 872,  2072, 2934,
    3873, 1475, 1777, 2109, 1972, 3918, 1420, 1092, 929,  1427, 2409, 1400,
    2631, 1257, 1820, 2639, 1003, 824,  1585, 2730, 2310, 1011, 1751, 2393,
    3970, 2430, 1213, 2054, 2086, 2901, 3830, 2870, 2735, 1860, 489,  2188,
    2491, 1856, 965,  325,  857,  2321, 1535, 178,  154,  1266, 3326, 639,
    2717, 2400, 2628, 2751, 2938, 1540, 2245, 2115, 3254, 2045, 1087, 1441,
    1317, 3528, 1969, 3443, 1759, 3301, 3606, 724,  1143, 3113, 525,  1742,
    1129, 3132, 3601, 2968, 1043, 3323, 1559, 557,  1029, 1070, 2583, 885,
    3246, 3081, 2932, 1444, 822,  2420, 868,  2615, 1761, 2589, 757,  3495,
    2747, 3108, 2005, 2567, 2341, 445,  2841, 972,  2075, 3552, 3556, 1478,
    3515, 2776, 520,  2076, 2507, 2444, 1747, 2521, 3912, 2193, 2662, 3380,
    1634, 2875, 3208, 1413, 2811, 3228, 1590, 2214, 440,  3079, 543,  1568,
    2253, 3013, 1989, 2290, 1987, 903,  2678, 2454, 2777, 177,  2878, 1094,
    1291, 1911, 2680, 2360, 3042, 1032, 1471, 2176, 3596, 1833, 3588, 1126,
    1604, 1248, 1729, 2729, 3764, 1855, 2204, 1377, 3028, 1816, 1457, 2328,
    3395, 3895, 3313, 1745, 2028, 2373, 3821, 2021, 2677, 4055, 1793, 1494,
    199,  2948, 1283, 2516, 444,  3160, 1005, 1219, 3796, 2375, 726,  1754,
    2420, 3429, 2041, 3825, 3429, 3522, 1564, 2103, 777,  2849, 1591, 3050,
    2164, 2105, 1695, 2945, 2603, 1589, 3213, 1864, 2151, 2332, 976,  2668,
    2373, 1873, 3859, 3330, 1064, 2558, 2513, 2831, 1538, 2529, 2271, 2609,
    600,  2568, 2361, 3291, 1679, 2089, 1441, 3437, 2727, 346,  644,  2548,
    469,  3026, 2612, 3359, 3196, 2463, 885,  2887, 390,  1305, 380,  1550,
    1247, 3971, 1299, 680,  1723, 560,  2771, 2028, 2474, 2965, 1235, 2201,
    3763, 2389, 1618, 2355, 3969, 2088, 2246, 3665, 2986, 1047, 1869, 1346,
    384,  1987, 3145, 3044, 1886, 2723, 1773, 2404, 2202, 3153, 1676, 1481,
    1486, 1677, 943,  930,  1914, 1484, 1373, 979,  1951, 548,  3043, 3646,
    937,  2342, 1106, 1086, 2793, 3298, 2498, 2434, 566,  1970, 2464, 2388,
    1729, 3526, 2093, 3005, 3486, 1398, 1876, 3427, 1325, 1404, 1139, 1691,
    1070, 2571, 1943, 725,  1015, 1157, 1777, 2332, 1794, 1616, 2015, 936,
    2207, 2721, 1615, 2577, 2812, 1854, 3016, 1974, 2629, 544,  774,  863,
    1963, 2937, 3366, 769,  3545, 3282, 3653, 2175, 1245, 1524, 1355, 2919,
    2087, 2283, 1188, 2223, 2660, 1815, 1878, 2647, 2152, 2757, 1933, 820,
    1315, 1680, 3138, 1716, 2490, 2634, 2827, 2520, 1193, 582,  3205, 1701,
    3492, 3068, 1165, 3846, 2025, 2314, 1934, 2740, 2262, 2427, 994,  2607,
    2642, 709,  961,  2929, 2988, 837,  3720, 1318, 1842, 2211, 1612, 1767,
    2136, 2256, 2255, 2793, 671,  2394, 718,  2728, 3943, 1331, 1394, 1815,
    2442, 3655, 2167, 1348, 689,  863,  2599, 1206, 2211, 2714, 2325, 1152,
    2672, 1534, 3063, 1046, 2673, 1770, 2338, 1244, 594,  1637, 531,  3805,
    1340, 1595, 1472, 694,  2671, 2234, 2425, 2574, 901,  3469, 900,  1143,
    3257, 3631, 1345, 1214, 1424, 2063, 3209, 1209, 1122, 1113, 1263, 2450,
    1118, 879,  2356, 2949, 3665, 2228, 1377, 1705, 2440, 3163, 727,  2097,
    1211, 2897, 1240, 1943, 816,  2973, 1837, 989,  1067, 848,  3061, 2648,
    2163, 864,  3031, 2251, 2575, 2237, 2384, 3187, 747,  886,  1562, 1342,
    837,  1871, 2419, 1400, 1937, 2339, 3605, 3023, 2720, 3126, 348,  2314,
    1878, 2263, 3146, 2564, 3135, 1421, 1292, 2075, 2708, 3530, 2248, 587,
    3054, 3100, 2517, 2245, 730,  2115, 3782, 3491, 2303, 1667, 1741, 1817,
    3441, 2390, 3095, 3286, 1519, 1598, 288,  1051, 3364, 546,  2093, 1358,
    1449, 3758, 1923, 2399, 2268, 330,  1697, 1348, 2876, 1227, 1218, 1740,
    1208, 2444, 717,  2836, 2834, 1456, 1336, 3375, 2055, 749,  3342, 3034,
    818,  3234, 1995, 2118, 3338, 46,   2812, 2439, 2702, 2398, 2082, 2303,
    3344, 3855, 3292, 2774, 3511, 3691, 2439, 2594, 777,  2455, 1914, 2853,
    2932, 3517, 1600, 3888, 1829, 2617, 1830, 1351, 3411, 1835, 2255, 2401,
    1682, 151,  349,  1375, 2502, 1019, 493,  903,  3131, 1020, 3802, 2384,
    544,  1849, 2671, 1760, 1802, 2472, 1779, 459,  631,  391,  676,  921,
    1002, 2358, 699,  3567, 1864, 3207, 778,  2155, 1454, 2644, 3269, 812,
    361,  1335, 1167, 2664, 3329, 1959, 2285, 1382, 780,  1457, 748,  1934,
    2001, 1518, 1626, 1396, 1366, 3201, 2862, 847,  500,  1226, 1196, 1520,
    2844, 2723, 527,  2897, 2991, 1388, 1389, 2485, 954,  3022, 2304, 2559,
    1418, 880,  456,  553,  3651, 3644, 2507, 2825, 1141, 2879, 1039, 2235,
    1204, 2946, 1961, 2436, 554,  996,  2461, 1485, 2335, 290,  859,  1752,
    3167, 2080, 3603, 1623, 2207, 2909, 1794, 3580, 1154, 1823, 2820, 1469,
    3406, 1570, 2440, 2489, 1050, 3901, 3877, 1192, 516,  601,  3043, 928,
    3127, 2135, 1719, 1879, 2585, 1546, 1433, 2123, 2369, 1655, 965,  2830,
    1639, 2893, 2992, 2099, 1793, 1322, 1918, 1871, 691,  3061, 2581, 915,
    1826, 1709, 1273, 2880, 1467, 851,  752,  3423, 658,  1379, 1122, 1563,
    2133, 3223, 1736, 2586, 1517, 2326, 763,  1656, 628,  3040, 2064, 642,
    871,  1738, 2587, 734,  374,  1496, 1285, 1909, 2020, 3555, 1146, 1522,
    635,  2399, 745,  2088, 2854, 2636, 1492, 2294, 1778, 3166, 2593, 1711,
    2502, 2816, 3322, 1785, 2806, 435,  2749, 3103, 3445, 1399, 2052, 382,
    3178, 2132, 3231, 3932, 2741, 2344, 1025, 2485, 3718, 2266, 1346, 1662,
    1048, 1264, 776,  3107, 1055, 2659, 2260, 466,  530,  2309, 1214, 1571,
    3600, 1788, 3576, 2144, 1577, 1110, 1097, 3478, 1542, 3936, 2309, 2271,
    2984, 3101, 2120, 4001, 1953, 2131, 811,  2270, 1030, 1422, 2708, 3604,
    1031, 1368, 3203, 2770, 2956, 1583, 2253, 1502, 1480, 2971, 452,  2141,
    2721, 2547, 1398, 1789, 2706, 532,  1461, 2813, 3124, 2438, 2835, 2763,
    1178, 2938, 1811, 2299, 597,  1712, 2557, 896,  1828, 3061, 2886, 2417,
    1062, 901,  3194, 239,  2437, 3607, 1207, 2631, 2943, 2158, 2696, 174,
    866,  3080, 701,  2107, 3096, 3504, 1714, 1034, 1660, 1736, 1621, 2815,
    1449, 2656, 2739, 3058, 2879, 3554, 957,  2665, 2238, 1023, 1293, 2860,
    1393, 3753, 3256, 2683, 2756, 2221, 2803, 2095, 1542, 2177, 1107, 1974,
    1108, 2026, 1579, 1139, 2535, 950,  1955, 1686, 2000, 1359, 2106, 2105,
    3216, 2307, 1172, 900,  3156, 1112, 490,  2278, 526,  1704, 2372, 1122,
    3116, 1039, 1587, 1395, 940,  1660, 687,  1878, 1115, 1841, 1426, 1536,
    3015, 1160, 2070, 2736, 403,  3354, 3199, 1866, 1307, 807,  1733, 3578,
    1685, 2285, 1528, 3579, 1596, 2204, 1046, 2635, 2504, 2829, 2403, 1728,
    3613, 1599, 3357, 1001, 2126, 1257, 1611, 3474, 3064, 1446, 3432, 3452,
    1614, 2545, 2282, 3004, 1026, 3274, 2510, 3179, 1998, 926,  2216, 2662,
    2966, 3482, 2446, 1455, 2650, 1098, 1215, 2947, 2435, 1534, 503,  3118,
    2178, 1360, 3481, 1709, 950,  3309, 572,  1308, 2694, 3017, 2056, 2144,
    1853, 2091, 3391, 2031, 263,  3351, 70,   1111, 2012, 2445, 393,  1605,
    1392, 1780, 2576, 3181, 1499, 1840, 2187, 1339, 1723, 1384, 1032, 2952,
    1895, 833,  2959, 583,  1344, 1754, 3002, 349,  2933, 2265, 2597, 1810,
    1328, 1835, 2360, 2237, 2448, 2714, 1528, 2189, 2224, 642,  2062, 3447,
    1708, 1302, 1784, 2154, 2913, 1611, 250,  2300, 3945, 1479, 759,  2119,
    2278, 1683, 2639, 2041, 1834, 1962, 2062, 2340, 2328, 1327, 3586, 4038,
    2257, 1204, 2414, 3003, 1816, 2994, 1724, 2838, 1986, 569,  632,  996,
    1967, 3221, 1849, 1669, 1644, 2465, 1757, 3315, 3244, 3615, 3263, 2569,
    464,  1879, 1131, 3130, 1165, 2523, 1947, 3245, 3104, 3223, 3604, 2471,
    2619, 2410, 1973, 3400, 2098, 3546, 1553, 1545, 2821, 2066, 2489, 478,
    2335, 2911, 3433, 2668, 2090, 1726, 1387, 1948, 2894, 753,  1480, 793,
    1524, 1858, 2152, 2980, 2114, 2698, 3574, 632,  689,  1442, 414,  3249,
    3929, 1439, 236,  2371, 1570, 2753, 4035, 311,  2997, 2061, 843,  3218,
    1755, 2580, 3506, 3047, 1892, 2773, 2003, 990,  2643, 1103, 1798, 1071,
    2014, 1216, 2306, 887,  2279, 367,  2950, 3899, 3419, 2221, 3069, 628,
    3015, 1720, 2209, 440,  1297, 1966, 1832, 2137, 2022, 2686, 2293, 1603,
    246,  3191, 3347, 3085, 2953, 2424, 2017, 3674, 1578, 3781, 2417, 1700,
    2017, 335,  827,  585,  597,  1440, 1731, 2079, 2042, 1486, 723,  3385,
    2015, 1880, 654,  2094, 2306, 2074, 3431, 3291, 1287, 1397, 2183, 2385,
    3513, 1994, 2035, 2037, 1369, 2780, 964,  2339, 2706, 3242, 2043, 178,
    2375, 3147, 2232, 1252, 2843, 3934, 1801, 1407, 2957, 3631, 2755, 2205,
    3119, 3088, 1197, 2016, 1756, 2276, 2955, 2433, 3063, 1331, 1382, 2641,
    2369, 936,  429,  3519, 698,  2521, 1620, 3358, 1563, 347,  874,  2334,
    1076, 1471, 3125, 2742, 1330, 2591, 599,  1725, 2353, 2836, 3272, 2138,
    378,  2735, 1143, 1437, 2185, 521,  2560, 2233, 2179, 2379, 3536, 2622,
    667,  405,  2662, 2209, 1501, 2486, 3257, 3310, 621,  3983, 870,  2539,
    3084, 2309, 2334, 2705, 2061, 876,  3322, 2059, 2365, 2691, 3496, 3620,
    3081, 2692, 2898, 1989, 2153, 1960, 2436, 1487, 3195, 2948, 2218, 1300,
    720,  2151, 1722, 2355, 1076, 3143, 1949, 1795, 1261, 582,  1257, 942,
    436,  253,  538,  908,  846,  629,  736,  1428, 1126, 706,  755,  410,
    449,  828,  877,  430,  344,  1322, 426,  1215, 1601, 1793, 1633, 866,
    2288, 1589, 561,  777,  1169, 1330, 468,  459,  685,  436,  1956, 1324,
    212,  888,  821,  2066, 784,  1568, 796,  1251, 497,  1430, 1108, 537,
    1577, 737,  1529, 721,  391,  962,  1218, 493,  1189, 1235, 1177, 778,
    595,  1009, 1515, 10,   1069, 1207, 1037, 913,  599,  1142, 1139, 779,
    1067, 653,  466,  747,  683,  1129, 1057, 514,  1166, 663,  958,  895,
    870,  1036, 819,  610,  1763, 810,  774,  253,  1274, 711,  543,  805,
    145,  1658, 1208, 336,  348,  782,  1087, 2137, 1305, 481,  1522, 530,
    634,  189,  1005, 1432, 1183, 1546, 1096, 1308, 1205, 721,  1011, 230,
    770,  406,  406,  1237, 972,  1266, 970,  409,  1645, 1371, 888,  1053,
    602,  1337, 870,  714,  432,  1160, 895,  713,  882,  871,  161,  2171,
    643,  1133, 1252, 707,  450,  1010, 481,  1397, 591,  647,  511,  1100,
    340,  1008, 756,  1074, 596,  1459, 910,  969,  697,  559,  518,  1584,
    540,  804,  1425, 1115, 1311, 779,  734,  976,  442,  655,  839,  605,
    619,  467,  1499, 967,  1061, 1349, 704,  130,  1089, 1178, 1161, 1141,
    1071, 1035, 486,  934,  1401, 651,  924,  1282, 1282, 389,  1278, 655,
    992,  614,  981,  158,  1031, 985,  300,  651,  737,  1755, 798,  1911,
    1467, 782,  509,  451,  1125, 1295, 465,  979,  1083, 1031, 1282, 550,
    1546, 900,  444,  1545, 1207, 1655, 913,  852,  1228, 338,  607,  934,
    236,  721,  1084, 236,  291,  590,  589,  1114, 1257, 603,  117,  1044,
    432,  1255, 1656, 806,  762,  776,  686,  388,  622,  941,  1308, 1200,
    259,  1051, 1514, 529,  651,  1349, 868,  764,  946,  603,  888,  372,
    493,  664,  418,  769,  1300, 993,  416,  607,  990,  505,  618,  673,
    911,  610,  1442, 798,  1844, 879,  515,  840,  937,  797,  718,  390,
    675,  672,  921,  1034, 601,  442,  297,  850,  631,  782,  607,  1461,
    722,  162,  215,  756,  1308, 965,  1464, 531,  965,  2183, 974,  485,
    512,  1586, 505,  1672, 463,  649,  1048, 967,  687,  1139, 1229, 1281,
    1060, 1261, 535,  941,  399,  1013, 783,  1711, 433,  1308, 1739, 312,
    1118, 395,  839,  1003, 997,  177,  557,  842,  1270, 292,  980,  459,
    426,  1207, 160,  1097, 519,  573,  945,  311,  666,  164,  945,  306,
    1694, 357,  411,  1030, 1220, 408,  1197, 679,  452,  938,  1335, 496,
    423,  414,  947,  625,  801,  992,  637,  918,  643,  1582, 1017, 908,
    699,  960,  1095, 1475, 1064, 925,  919,  987,  1657, 685,  1279, 334,
    724,  971,  310,  590,  839,  1249, 240,  1287, 1718, 1019, 931,  798,
    524,  1653, 101,  348,  442,  955,  335,  1168, 1584, 376,  651,  167,
    1056, 743,  1738, 186,  520,  631,  865,  819,  988,  35,   1080, 730,
    872,  658,  828,  1758, 1248, 300,  1244, 539,  735,  340,  150,  802,
    780,  1283, 831,  826,  645,  442,  119,  723,  827,  1019, 305,  1553,
    1241, 487,  590,  1770, 121,  1381, 1103, 936,  2114, 881,  1056, 1260,
    1360, 541,  347,  1630, 1096, 176,  587,  382,  721,  884,  1096, 213,
    1757, 1151, 397,  291,  1161, 3376, 3828, 2766, 1604, 3185, 3504, 2472,
    2595, 1669, 3400, 4067, 4080, 3463, 3321, 3036, 4068, 2421, 3991, 3911,
    4044, 3099, 1110, 1889, 3606, 3544, 3130, 3214, 3112, 2584, 3067, 1800,
    3764, 3713, 2847, 3415, 1154, 3140, 3537, 2969, 2203, 3768, 2891, 3162,
    4004, 4046, 3300, 1043, 2244, 2833, 3581, 2213, 3516, 2465, 2804, 3883,
    2287, 4020, 3535, 2063, 4006, 3842, 2818, 3696, 2327, 2636, 2489, 3459,
    3473, 1373, 941,  3846, 2596, 3241, 4091, 3119, 3650, 3827, 3022, 2508,
    3803, 3995, 2732, 2146, 4079, 3964, 3003, 1925, 2789, 2150, 3239, 2013,
    3688, 4039, 3533, 2518, 3056, 3356, 3922, 3388, 4014, 1435, 1373, 3619,
    3983, 3196, 4095, 1617, 3645, 3542, 2956, 2891, 1624, 1836, 3187, 3253,
    2073, 3896, 2905, 2484, 3180, 3000, 1622, 3152, 805,  2313, 3797, 3463,
    3237, 3279, 2435, 3540, 3594, 2968, 3210, 2718, 1184, 3254, 3889, 3695,
    509,  4074, 3197, 3835, 2954, 3312, 3562, 3052, 3019, 3258, 978,  3303,
    4082, 3834, 2252, 3680, 3489, 3904, 2958, 3081, 2134, 3591, 3546, 3725,
    2602, 3630, 3363, 3784, 3165, 3958, 2071, 4020, 2069, 3153, 3392, 3749,
    3690, 2548, 3887, 3662, 1831, 3457, 2230, 2084, 4072, 2578, 3827, 3030,
    4008, 1275, 2450, 2389, 3450, 2001, 3367, 3442, 4010, 1674, 2122, 3391,
    1364, 3708, 1998, 3752, 3806, 3480, 2401, 3998, 1419, 2810, 752,  3710,
    3936, 663,  3697, 1971, 3084, 2981, 1755, 2112, 874,  3324, 3503, 2889,
    2169, 3404, 3868, 3543, 4042, 2522, 2687, 2400, 2637, 3475, 3721, 2684,
    3654, 3454, 3972, 3442, 3438, 1506, 3939, 3170, 3379, 3840, 3901, 3937,
    2833, 3858, 3823, 2642, 4004, 2878, 2993, 3348, 3866, 3602, 2605, 2494,
    3927, 4009, 3404, 3911, 2909, 1684, 1691, 3408, 2668, 1941, 1818, 3587,
    3362, 1494, 3914, 1278, 2666, 3864, 2765, 3993, 3697, 2387, 3952, 2587,
    3632, 3422, 2834, 4094, 3403, 2000, 3412, 2779, 3500, 3128, 2070, 2828,
    3358, 3522, 3930, 3399, 3325, 3959, 2386, 4093, 3989, 3547, 2961, 2466,
    1881, 4093, 2242, 2860, 3060, 3309, 3053, 3502, 3688, 3045, 2405, 3412,
    3166, 3508, 3956, 3281, 3436, 3459, 2457, 4026, 3944, 3467, 3718, 2846,
    3851, 3374, 2555, 3675, 3679, 2709, 3410, 2969, 3300, 2280, 1985, 2933,
    1575, 3401, 3287, 1917, 3142, 3960, 3479, 4066, 2441, 3201, 2704, 4016,
    3241, 3572, 2251, 2630, 3960, 2977, 3829, 3003, 3361, 3752, 2975, 3254,
    2286, 3446, 415,  3272, 4083, 2896, 2846, 3658, 2748, 4025, 3999, 3950,
    2889, 3633, 1692, 3472, 2329, 825,  3898, 3516, 2117, 3723, 2916, 1265,
    2632, 3910, 3594, 3707, 3488, 3496, 3530, 3899, 3469, 4052, 1940, 3524,
    2998, 3830, 2888, 3864, 2190, 2403, 2217, 3783, 3941, 3660, 2343, 2578,
    3770, 2091, 3704, 2323, 4006, 2079, 2157, 3523, 2992, 3794, 3120, 2980,
    2750, 3656, 2610, 1274, 3017, 3000, 2407, 3995, 3142, 3953, 3841, 3598,
    3503, 3187, 4066, 3169, 3798, 1740, 3971, 2900, 3772, 3448, 2227, 3805,
    3925, 1666, 2908, 3914, 1443, 3918, 3093, 2979, 2354, 3902, 3860, 2843,
    3833, 3183, 1671, 3933, 1270, 3644, 2754, 3515, 3070, 2379, 2290, 3878,
    2831, 927,  3942, 3614, 2482, 2898, 2419, 2871, 2971, 2705, 4012, 2228,
    2844, 1535, 3399, 2985, 2043, 2828, 3566, 1065, 3915, 3965, 1260, 4019,
    2077, 2952, 2632, 2925, 1708, 3600, 2829, 4080, 2272, 3134, 2319, 2615,
    3993, 2183, 3942, 1422, 3751, 3316, 3174, 3476, 3893, 3509, 1027, 1561,
    1955, 1134, 3807, 3916, 3745, 3103, 3951, 2512, 3585, 3247, 3926, 3951,
    3979, 1769, 2398, 2722, 2965, 3172, 4088, 3733, 3647, 2326, 3401, 4020,
    3972, 3692, 4088, 1962, 2914, 2966, 3267, 2786, 1453, 1833, 3027, 3063,
    3879, 2068, 2199, 3271, 2760, 4039, 3883, 3779, 3717, 3651, 3826, 2850,
    2380, 3818, 3738, 3117, 2121, 3131, 3357, 746,  3804, 2057, 3436, 3421,
    3689, 4086, 4019, 2707, 3921, 2496, 1429, 3029, 3726, 3720, 3209, 2998,
    3579, 2778, 3735, 3482, 3032, 3721, 3924, 4007, 3417, 4096, 3050, 1981,
    4034, 2995, 2515, 1900, 3495, 3211, 2718, 3115, 2564, 3200, 3955, 733,
    3884, 3575, 2973, 2503, 4048, 3384, 3620, 3602, 2666, 3868, 2790, 2663,
    3730, 3460, 2435, 3375, 3394, 2749, 3986, 3328, 2143, 3132, 1818, 4029,
    1705, 3411, 2811, 3705, 2990, 4034, 2889, 3124, 2808, 2838, 1710, 2834,
    3042, 4063, 3130, 3980, 3720, 3225, 1599, 3538, 3608, 3363, 4023, 1414,
    3894, 1560, 2262, 3517, 2103, 2198, 3979, 2549, 2311, 2866, 3709, 3639,
    1863, 2396, 3313, 2993, 2397, 1582, 2707, 3872, 4019, 3750, 2429, 3346,
    3365, 3378, 2151, 3299, 2945, 3692, 4008, 3836, 3944, 2638, 2661, 3682,
    3330, 2883, 1717, 3981, 3134, 3317, 3466, 2676, 1819, 3907, 2580, 3626,
    3737, 3806, 3840, 3226, 3747, 4000, 3122, 3470, 1894, 3700, 2941, 2441,
    2696, 3512, 2407, 3524, 3239, 1729, 1314, 3953, 3308, 3744, 2927, 3906,
    4071, 3718, 1798, 3759, 2495, 3736, 3810, 2282, 3750, 3932, 3067, 3343,
    1507, 3247, 3417, 3559, 4044, 3954, 1893, 4010, 2510, 2044, 3732, 3831,
    3414, 4095, 1754, 3341, 4085, 3850, 3230, 3066, 2665, 3793, 2525, 3627,
    3965, 3490, 3964, 3447, 1766, 1418, 3395, 1610, 4053, 2502, 2220, 3609,
    3683, 3716, 3322, 3346, 3544, 3025, 2955, 3736, 3256, 3172, 3769, 3139,
    2337, 4087, 3266, 2338, 3369, 3452, 3845, 3437, 2342, 3645, 3151, 2350,
    3335, 1561, 2608, 3333, 3816, 1882, 3560, 3273, 3807, 3571, 1916, 2667,
    4085, 3876, 3904, 3289, 1830, 1568, 3780, 3510, 3455, 2657, 3897, 2962,
    4031, 3409, 3905, 3595, 3221, 2374, 3838, 2792, 3152, 3768, 3739, 2179,
    3772, 2823, 2800, 2797, 3797, 2193, 3484, 3235, 3479, 1705, 3501, 3869,
    3086, 2411, 4010, 3876, 3278, 3169, 3820, 3664, 2727, 3788, 3021, 3722,
    4038, 3423, 3491, 3761, 3975, 2574, 2239, 3915, 2186, 3340, 3638, 3302,
    2681, 3422, 3406, 2570, 2456, 3874, 3169, 3486, 3685, 2958, 3666, 3661,
    2871, 3517, 1078, 3466, 3353, 3481, 2803, 3652, 3568, 3581, 2944, 2792,
    3524, 2158, 2951, 3189, 3563, 3232, 3510, 3725, 3967, 3564, 4018, 4030,
    2314, 3729, 2284, 3286, 3609, 3882, 2910, 3624, 3790, 3642, 1672, 2741,
    2858, 2566, 3050, 2623, 3836, 3043, 3874, 2006, 2226, 2932, 3420, 2796,
    3773, 3725, 3013, 3284, 2124, 2709, 3072, 1452, 3522, 3331, 1746, 3697,
    2872, 1159, 2740, 4056, 3536, 2856, 2909, 3611, 2320, 3079, 3332, 3093,
    2675, 3712, 2985, 3227, 1782, 1066, 3944, 3687, 3943, 2289, 3025, 2799,
    3067, 2198, 1275, 3494, 1248, 3589, 1758, 3951, 2940, 2807, 2178, 2703,
    2131, 3837, 2473, 3928, 3879, 3829, 3381, 4072, 2229, 3580, 3985, 4078,
    3793, 3735, 2930, 2239, 2902, 3680, 3743, 2689, 2168, 3918, 3593, 663,
    2306, 3890, 4008, 3705, 2165, 1466, 1146, 2982, 674,  3382, 3207, 3897,
    4043, 3349, 2295, 2881, 2808, 3037, 3341, 3462, 3446, 4058, 2370, 3457,
    3613, 3535, 2322, 1698, 882,  1515, 1332, 4084, 3995, 3883, 3680, 3920,
    3844, 3616, 2393, 3825, 2537, 4067, 3179, 2858, 3167, 3699, 2465, 2549,
    3897, 2854, 2752, 3158, 2769, 3956, 3745, 2497, 4063, 3949, 3771, 3649,
    3519, 3359, 3967, 3891, 2258, 4075, 3336, 3796, 3786, 2459, 1238, 3817,
    2127, 3111, 1930, 3847, 3444, 2059, 1287, 3925, 3816, 3761, 4039, 3783,
    3389, 3162, 3019, 4078, 3754, 3307, 2380, 3387, 3155, 4045, 2174, 2546,
    2710, 3320, 3295, 2125, 3776, 3809, 3521, 2210, 3824, 3958, 3601, 2417,
    3144, 2910, 3564, 3801, 1970, 3475, 3934, 2350, 2288, 3616, 3483, 1782,
    1425, 4084, 3199, 3706, 3970, 2684, 4082, 4032, 3202, 3712, 3999, 4006,
    2527, 4037, 2573, 4060, 4013, 2272, 3670, 2893, 3553, 3853, 2579, 2851,
    3791, 2066, 3853, 2559, 3861, 2459, 3346, 3707, 2026, 2365, 3769, 3971,
    3209, 3507, 3848, 2895, 3822, 2648, 3858, 3655, 2354, 1814, 3288, 4024,
    3107, 3999, 2422, 2915, 3098, 3984, 1771, 2670, 910,  3913, 3760, 2323,
    3639, 2323, 3126, 3966, 3924, 3495, 3628, 3155, 4071, 3974, 3614, 2989,
    3938, 2620, 2678, 2488, 3221, 3935, 3360, 3888, 2674, 3167, 1843, 3059,
    3861, 2475, 3360, 2346, 3212, 2715, 1646, 3358, 3716, 2140, 2324, 4083,
    3612, 3214, 3441, 1829, 3010, 2022, 3366, 3293, 2862, 3931, 3203, 3602,
    1969, 3380, 3985, 3431, 3065, 3881, 3630, 3041, 2764, 2752, 3122, 2296,
    3741, 4066, 4062, 4009, 3823, 3064, 4056, 2405, 3684, 2969, 3711, 3411,
    2830, 2348, 3683, 4050, 2976, 3900, 3827, 3639, 3264, 3548, 3800, 2855,
    3804, 3799, 4063, 3802, 2783, 3812, 3319, 3454, 3345, 2340, 3803, 1223,
    3855, 3287, 3502, 3464, 1560, 3158, 3118, 2284, 2258, 2521, 3561, 4040,
    3596, 2891, 3393, 1644, 3554, 1942, 3393, 3803, 2020, 3875, 3299, 4069,
    3513, 3704, 2406, 3563, 3115, 3629, 3828, 2680, 3842, 2476, 2767, 3711,
    2654, 1808, 2904, 3961, 3458, 3270, 1670, 3091, 3578, 3487, 3902, 3528,
    3428, 3976, 3309, 4028, 2832, 3598, 3384, 3982, 3527, 3772, 3870, 3261,
    3741, 3119, 2603, 2934, 3963, 2893, 959,  2236, 3811, 3719, 2562, 3958,
    2593, 3377, 2556, 1945, 3748, 3673, 1123, 3376, 2794, 3757, 2697, 2006,
    3940, 3712, 2733, 396,  2930, 2563, 1769, 3665, 3178, 3668, 3919, 2688,
    3306, 2283, 3619, 4094, 3021, 2987, 4082, 3368, 3097, 3075, 1783, 2310,
    3691, 3248, 3440, 3064, 3077, 2135, 3395, 2711, 3572, 3177, 2791, 3049,
    3031, 4081, 2485, 4075, 3101, 3494, 3428, 3278, 2582, 2281, 3538, 3994,
    3263, 2700, 3977, 3612, 3332, 2005, 1139, 3190, 3507, 3149, 3489, 2881,
    4011, 4009, 2067, 3481, 3569, 3641, 1499, 1148, 3129, 2722, 3829, 1092,
    4077, 3298, 3815, 2481, 3048, 3814, 3338, 3062, 3887, 3666, 2991, 2427,
    3849, 2833, 3400, 3534, 3290, 2501, 3472, 3099, 2499, 3545, 2634, 3334,
    3004, 2279, 3445, 3724, 3693, 3054, 3238, 2644, 3996, 2152, 1128, 4011,
    3534, 4025, 3881, 3988, 2057, 3809, 3997, 3480, 2154, 2532, 2818, 3681,
    3765, 2450, 3588, 3111, 3870, 4021, 3642, 3397, 2775, 1258, 2962, 4054,
    1846, 1527, 3759, 3910, 2249, 3742, 3622, 4007, 3355, 3822, 3076, 4027,
    4074, 2613, 3543, 3864, 3932, 3579, 3699, 3781, 2148, 2952, 2157, 3696,
    3733, 2265, 3192, 3073, 3020, 3112, 3589, 2225, 3835, 3285, 2115, 3948,
    1574, 3582, 3703, 3078, 3806, 2100, 3779, 4052, 3986, 3987, 2297, 1318,
    2560, 2856, 3854, 2628, 2591, 1912, 3605, 3599, 1500, 2504, 3611, 2158,
    2974, 2284, 2229, 3895, 4049, 3808, 2004, 2982, 2537, 3289, 3319, 3950,
    2830, 2149, 2575, 3374, 2652, 2378, 1284, 4093, 3592, 2768, 3295, 2972,
    2533, 1753, 3733, 2800, 2596, 1891, 2869, 2770, 3048, 3993, 3673, 2828,
    3969, 3965, 2782, 2732, 2440, 3769, 4027, 4016, 4013, 3663, 3171, 2600,
    3087, 3138, 3190, 2433, 3762, 3963, 2330, 3505, 3352, 3426, 2532, 3336,
    3402, 3947, 3339, 3672, 2347, 3398, 4029, 3160, 2572, 3009, 2751, 1678,
    3276, 3192, 3228, 3956, 3916, 1340, 3788, 1865, 3698, 1341, 3828, 3592,
    2719, 3920, 3709, 4003, 3208, 3926, 3863, 2648, 3270, 1581, 4045, 2997,
    3387, 3814, 3653, 4002, 4014, 1488, 3992, 4064, 3409, 2182, 3060, 1505,
    4092, 3474, 2879, 3685, 1623, 3271, 2839, 2495, 2467, 3797, 3920, 3319,
    934,  2326, 2744, 2270, 2392, 3008, 3599, 2936, 3643, 3790, 3094, 2194,
    3250, 4036, 4058, 901,  3033, 1342, 3881, 3973, 3841, 3748, 3701, 3668,
    2574, 2399, 3419, 3734, 3415, 2536, 3679, 3982, 3259, 1221, 3198, 3583,
    1796, 3975, 3397, 3961, 2906, 2616, 4033, 3451, 1721, 3977, 2069, 3011,
    3974, 3947, 3184, 3499, 435,  3961, 2998, 3862, 3677, 3791, 2686, 3384,
    2348, 3234, 2681, 2951, 3493, 3526, 3648, 1895, 2112, 3813, 3509, 3011,
    2467, 2789, 3230, 3420, 2855, 3917, 2674, 4069, 3181, 3890, 3051, 549,
    1646, 2116, 3440, 2555, 2023, 2565, 2761, 2859, 2331, 3115, 3975, 3880,
    3256, 4002, 3551, 2051, 2267, 3908, 3428, 3908, 3415, 3121, 3108, 3637,
    2651, 3352, 2645, 2901, 3532, 3885, 3673, 3377, 1690, 2963, 3149, 3093,
    2806, 2470, 2556, 3247, 4089, 2852, 3097, 3792, 2196, 3850, 3434, 3656,
    3778, 1251, 2590, 1180, 3421, 3351, 2815, 3237, 1944, 2658, 3694, 3334,
    3950, 3168, 3787, 1613, 3373, 3815, 1820, 3499, 1621, 3692, 3957, 2328,
    3766, 3393, 3243, 2712, 3603, 3909, 1838, 3791, 3787, 2791, 3597, 3938,
    2473, 3776, 2418, 3206, 3677, 3532, 3173, 3062, 2436, 3557, 1436, 2242,
    3371, 3092, 4062, 2988, 3188, 3288, 2055, 3464, 1128, 3558, 3826, 1836,
    2996, 2996, 3363, 2557, 1402, 3696, 2814, 3703, 3453, 2623, 3224, 2679,
    2483, 1585, 3356, 3859, 3028, 3670, 2944, 2599, 2939, 2619, 1682, 3681,
    2711, 3731, 3038, 2823, 3596, 4003, 3845, 2386, 3398, 3556, 3901, 3778,
    3939, 3453, 3222, 4073, 2470, 3553, 4016, 3854, 2777, 3705, 3723, 3335,
    2635, 2784, 3779, 4061, 3483, 3077, 2294, 1088, 4077, 2536, 1983, 3490,
    2611, 2113, 3275, 3934, 2683, 3138, 3314, 3184, 3552, 3379, 665,  3035,
    3335, 3586, 3381, 2996, 1920, 2995, 3311, 3030, 1445, 4035, 4031, 3204,
    1282, 1994, 3872, 4060, 3071, 3742, 3734, 3584, 3362, 3233, 2402, 3541,
    2976, 3591, 3789, 3046, 3246, 3385, 2826, 2448, 2959, 2716, 3080, 1451,
    3605, 4081, 3885, 1843, 3988, 2547, 3672, 2747, 3175, 2057, 3165, 2136,
    2926, 3608, 2141, 3922, 3430, 3924, 1815, 2736, 3929, 2550, 4041, 1935,
    3551, 421,  2427, 2869, 3294, 3819, 2926, 3210, 3532, 2170, 3139, 2103,
    3505, 2010, 4057, 835,  1981, 2293, 2283, 3708, 2693, 2190, 2421, 2493,
    2292, 3785, 3826, 1505, 2576, 3598, 1184, 3777, 2155, 2478, 3070, 4043,
    3799, 2482, 3945, 2924, 2102, 2568, 2403, 2617, 2859, 3304, 3786, 3351,
    1044, 3848, 3523, 3317, 3921, 2918, 3808, 1657, 3702, 3262, 3129, 2108,
    2134, 2966, 3492, 1299, 1053, 3260, 4076, 3057, 3767, 1713, 1806, 3090,
    3824, 1880, 2128, 3824, 2625, 3161, 3687, 3675, 3907, 3660, 2994, 3378,
    2072, 3773, 1372, 2872, 4056, 2865, 3205, 3757, 3488, 2814, 3590, 2665,
    3407, 2684, 2363, 2881, 1526, 3241, 1481, 3662, 3348, 3476, 1552, 3843,
    3865, 3977, 2618, 3275, 1677, 2641, 3451, 3964, 3985, 3218, 3426, 3749,
    3512, 1535, 2321, 1149, 1312, 3072, 3350, 3962, 2474, 4045, 1015, 2915,
    4053, 2690, 3801, 2594, 1176, 4089, 2701, 3740, 3719, 2743, 4055, 1713,
    3968, 3240, 3893, 3658, 2832, 3100, 3284, 2553, 4090, 3461, 3607, 2978,
    1771, 2882, 1607, 3525, 4054, 1497, 1807, 2053, 2961, 2320, 3785, 3935,
    3729, 3117, 1153, 2657, 2680, 3396, 3529, 3747, 2601, 3207, 2386, 3053,
    3942, 3729, 3520, 3778, 4032, 2841, 3012, 3759, 3432, 4017, 3635, 3036,
    3005, 3206, 3426, 3337, 3886, 3157, 2400, 2793, 1688, 2053, 2418, 3865,
    3052, 1610, 3397, 3820, 3978, 3350, 2355, 2623, 3875, 3439, 3904, 4076,
    3737, 3582, 3762, 3056, 2768, 3180, 1450, 3016, 1551, 3740, 1608, 3550,
    3633, 3561, 3871, 3127, 3343, 2508, 3030, 3909, 3177, 3877, 2562, 2542,
    3740, 3102, 2913, 2150, 3990, 3609, 3542, 4070, 2078, 3731, 3981, 2735,
    3089, 3186, 2951, 3468, 2873, 3547, 3817, 3767, 2950, 3354, 3570, 3694,
    1095, 2508, 3134, 2920, 3800, 3331, 3940, 3847, 1289, 2915, 2439, 3010,
    3910, 3448, 1830, 3695, 3114, 3764, 2466, 2864, 2710, 1931, 2939, 2475,
    3412, 4087, 3699, 2981, 4080, 3259, 2249, 2770, 3572, 3574, 2647, 2901,
    4065, 3576, 3973, 3501, 2837, 3577, 3485, 3629, 3738, 3294, 2123, 3154,
    3922, 3812, 2511, 3533, 3357, 3279, 2175, 3905, 2452, 4035, 3935, 3023,
    3465, 904,  3461, 1567, 2094, 2045, 2810, 2798, 3306, 1846, 2379, 2927,
    4044, 3997, 4054, 3863, 3326, 1466, 2846, 2928, 3880, 2701, 2583, 2847,
    4012, 1951, 3930, 3123, 3955, 4067, 3892, 3224, 4055, 3903, 4051, 3834,
    3018, 4060, 2141, 1867, 2322, 4033, 1518, 3132, 517,  4024, 1334, 1835,
    3991, 2867, 4011, 1903, 2750, 3987, 3643, 4030, 3445, 3833, 3112, 3809,
    1891, 3320, 1834, 3053, 2539, 2541, 3939, 3330, 3986, 3324, 3496, 1916,
    3670, 3955, 3640, 3590, 3594, 2367, 3978, 3749, 1673, 3235, 2622, 3089,
    1655, 2919, 2544, 3109, 970,  4027, 3408, 3302, 2593, 2720, 1448, 3663,
    3469, 427,  882,  3686, 3784, 3954, 2821, 3406, 3215, 3175, 2774, 3040,
    1661, 2745, 819,  3530, 1698, 4026, 2291, 746,  3259, 864,  3531, 2497,
    2946, 3245, 2098, 3848, 3925, 3659, 2452, 2587, 4061, 3154, 3867, 3795,
    3316, 1100, 2396, 2655, 2011, 2590, 3277, 3743, 2542, 3147, 3443, 3700,
    2592, 3734, 2637, 2387, 2329, 3233, 2737, 1564, 2961, 2052, 3004, 1512,
    2970, 1899, 3186, 4041, 1381, 3361, 1524, 3638, 3145, 3396, 3744, 2928,
    4025, 2406, 3452, 3915, 3863, 4031, 3327, 4002, 3671, 2515, 2845, 3714,
    3020, 2145, 1290, 2494, 3789, 3455, 3018, 886,  1031, 2614, 3414, 2888,
    2078, 3949, 3893, 3511, 3208, 3219, 4091, 3894, 3032, 2452, 3465, 3857,
    2898, 3234, 1219, 2560, 3293, 3943, 4026, 3387, 3798, 4047, 3852, 3540,
    3713, 1582, 3307, 3184, 3471, 3537, 3996, 3435, 2792, 2007, 2140, 3164,
    3163, 3606, 2238, 2912, 3292, 2463, 4064, 1973, 3274, 3289, 3914, 3884,
    2900, 1063, 3659, 3514, 3500, 3775, 1804, 3905, 2886, 3774, 2757, 2762,
    2761, 2589, 1903, 3009, 3731, 2370, 1704, 3355, 3851, 1394, 3767, 1904,
    2538, 4036, 1890, 2758, 3682, 4092, 3281, 3336, 3529, 2531, 3104, 2837,
    3959, 2153, 3913, 2748, 3926, 4072, 3105, 2307, 2715, 2842, 2754, 1678,
    3436, 2904, 2880, 1565, 3510, 2844, 3317, 1837, 2782, 2835, 3838, 1985,
    977,  3168, 1962, 4043, 2260, 1627, 1976, 1389, 3871, 3286, 3761, 3529,
    1728, 3927, 3173, 1712, 3262, 3674, 1450, 1411, 3991, 3732, 3318, 1813,
    3433, 3116, 1887, 2936, 1675, 1129, 2808, 3013, 3836, 3620, 2286, 2760,
    3364, 3588, 1521, 3236, 3855, 3314, 3866, 3984, 1566, 3874, 2123, 2333,
    1381, 2942, 3386, 3662, 3185, 4086, 3570, 4029, 2742, 2850, 3463, 3402,
    1711, 2176, 3565, 2903, 987,  2549, 3369, 2374, 3222, 3753, 3860, 3885,
    3465, 4015, 3890, 3310, 3923, 3311, 3783, 4018, 3856, 3220, 3646, 3912,
    3678, 4089, 2605, 1958, 3206, 3595, 3754, 2524, 2416, 2861, 3919, 3649,
    3371, 2100, 3511, 4078, 4022, 3895, 3102, 4042, 1861, 3106, 3386, 4094,
    3862, 1290, 2820, 3747, 2322, 3954, 3667, 3058, 4057, 1618, 2534, 1597,
    4022, 1538, 1223, 1790, 3777, 3297, 1337, 2926, 3871, 3264, 2247, 3792,
    3022, 1396, 3649, 4033, 3271, 3919, 3898, 3087, 3777, 2067, 3671, 3583,
    3018, 2552, 2918, 2696, 3625, 4013, 3634, 2920, 3701, 3736, 2698, 3382,
    2347, 3153, 2938, 3728, 3131, 3566, 1896, 3959, 2446, 3531, 2476, 2989,
    3754, 3248, 3171, 2566, 1731, 3686, 2117, 4073, 3121, 3080, 3636, 3258,
    3386, 3204, 3835, 3882, 3527, 2779, 3326, 1874, 3755, 3296, 3936, 1068,
    2991, 3831, 2222, 1642, 2278, 2478, 912,  3615, 3475, 4086, 1456, 3198,
    2591, 2858, 3669, 1608, 4037, 2788, 3057, 2729, 4070, 2878, 3847, 3313,
    2905, 3669, 2301, 3075, 2564, 1823, 2903, 3133, 1965, 3654, 3229, 3078,
    3365, 2391, 1749, 3635, 3416, 2892, 1593, 3641, 3765, 4000, 2463, 3509,
    3581, 3626, 3618, 2641, 2719, 1056, 1534, 2583, 3671, 3805, 3597, 3518,
    3514, 3949, 2531, 2832, 2546, 3034, 3390, 2688, 3137, 3197, 3762, 2002,
    3108, 2819, 3296, 3172, 3802, 2708, 3661, 3831, 3506, 3817, 3787, 4090,
    3963, 3493, 3025, 1899, 3561, 3957, 3862, 3166, 2003, 3937, 4059, 1227,
    1469, 1134, 3113, 3059, 3677, 2515, 2679, 2601, 3822, 1556, 1915, 3200,
    2730, 2192, 2604, 2843, 3109, 3722, 3756, 4040, 2819, 2672, 2183, 2980,
    1945, 4052, 3821, 1548, 3383, 2170, 2756, 4014, 2640, 2122, 2620, 4047,
    3880, 1881, 2855, 2220, 3689, 3297, 2039, 3640, 3521, 3194, 1601, 2863,
    2577, 3760, 2520, 1189, 2344, 3114, 3738, 3156, 3377, 2600, 2477, 2787,
    2139, 3843, 1258, 2248, 2483, 3100, 3337, 2214, 3258, 3009, 3177, 3007,
    2019, 3898, 2888, 3577, 3832, 2959, 3682, 3810, 3044, 1532, 3758, 3569,
    3998, 2333, 2609, 495,  3367, 2949, 3745, 4059, 3293, 3444, 2048, 3989,
    4092, 2606, 2370, 3520, 3628, 1790, 1037, 3470, 1067, 2905, 2845, 2567,
    1626, 3341, 2030, 3071, 3938, 3014, 3968, 2500, 2013, 3371, 1765, 3684,
    2237, 4038, 2716, 2575, 3297, 3911, 3250, 4077, 3478, 4068, 1588, 2700,
    2675, 1959, 3333, 3732, 1183, 2669, 3786, 3902, 3477, 2621, 3770, 4096,
    1820, 3213, 2172, 3839, 3990, 3637, 1458, 1886, 3052, 1027, 4061, 3981,
    3480, 3576, 3505, 2963, 3715, 3381, 3906, 2866, 1785, 2953, 2745, 3211,
    3652, 3810, 3438, 3623, 2033, 3987, 3523, 697,  3601, 3917, 3867, 3931,
    4074, 2289, 2877, 1300, 3268, 3314, 2649, 3706, 4001, 3866, 3983, 2350,
    2781, 3125, 2558, 3470, 1824, 3966, 3952, 3766, 2945, 3685, 1490, 3459,
    2763, 2908, 2241, 3616, 3597, 3857, 3618, 3611, 3558, 3714, 3372, 3123,
    3285, 2366, 1763, 3908, 2633, 2481, 3369, 1180, 4076, 2801, 2797, 1889,
    3614, 1473, 2678, 4030, 3992, 2876, 1174, 1176, 4001, 2627, 1030, 3997,
    1932, 1774, 3079, 4090, 3967, 3589, 3663, 2364, 2089, 2049, 2170, 3268,
    3301, 4041, 1813, 3359, 3217, 1746, 2813, 2849, 2045, 3843, 3557, 3083,
    2266, 3539, 1934, 4046, 2527, 3821, 1963, 4087, 2227, 3976, 1635, 3571,
    3686, 3801, 3048, 2862, 3623, 3095, 3716, 3595, 2348, 2220, 3152, 3721,
    4068, 1526, 3854, 3456, 2092, 4022, 2916, 3310, 1764, 3367, 3015, 3513,
    3161, 4049, 2479, 3083, 3845, 3715, 3792, 2331, 3892, 4015, 3989, 3178,
    3867, 2829, 2243, 3457, 3832, 2254, 4048, 2078, 2318, 3627, 2935, 2725,
    3973, 3794, 2201, 2561, 3376, 2160, 3896, 2999, 3651, 3508, 3378, 3253,
    3156, 3814, 502,  3735, 4048, 2380, 3028, 3812, 2825, 3429, 2461, 3556,
    2263, 2051, 3232, 3667, 3157, 2692, 3544, 2512, 2081, 2137, 3988, 3026,
    3533, 2611, 2805, 2569, 1503, 3019, 3623, 3111, 2613, 3603, 3109, 2460,
    3148, 702,  3051, 3982, 2640, 4021, 4042, 2503, 3834, 1922, 1863, 2377,
    3994, 1938, 1110, 3040, 3328, 3948, 2732, 3315, 3741, 3413, 2588, 3392,
    4058, 1925, 4084, 4047, 2840, 3215, 4079, 3146, 3953, 3900, 2525, 3737,
    3038, 3473, 2685, 2299, 2772, 3565, 3114, 2656, 3865, 2519, 3584, 3653,
    3327, 3742, 3497, 3198, 1851, 3968, 1415, 3928, 1857, 3625, 2652, 3260,
    3940, 3500, 4003, 3678, 3980, 3001, 3746, 3693, 3401, 3625, 2383, 3541,
    3528, 2448, 2978, 1074, 2621, 3933, 3449, 2975, 3978, 2408, 2106, 2817,
    3998, 1022, 1619, 1284, 3555, 3027, 2327, 3627, 2726, 3110, 3586, 2561,
    1147, 3147, 2287, 3280, 4005, 2922, 1262, 2566, 3450, 3710, 4065, 2171,
    3946, 2267, 1927, 3527, 2964, 2589, 3969, 3084, 2619, 3766, 3072, 1571,
    3946, 1420, 2506, 3170, 4028, 3029, 3305, 1169, 3295, 492,  3727, 3916,
    3996, 3085, 3430, 3894, 3238, 2764, 2872, 2537, 1787, 3667, 3816, 3858,
    2185, 2954, 2541, 3334, 655,  3700, 3599, 3714, 3097, 3564, 3159, 3927,
    3782, 3876, 3613, 3471, 3441, 2766, 2706, 596,  1069, 1939, 2224, 4065,
    2885, 3462, 2121, 4059, 2999, 2530, 1897, 3385, 3675, 4046, 3899, 3891,
    1846, 3657, 2210, 3212, 4091, 3088, 2598, 2767, 3765, 3869, 2506, 3024,
    3146, 3431, 2897, 1338, 3937, 3750, 3748, 2848, 2912, 4021, 3994, 1578,
    3418, 3707, 3621, 4024, 4051, 3571, 2784, 3174, 3016, 3537, 3075, 3713,
    3066, 3316, 1689, 3833, 3844, 1727, 1170, 3813, 857,  3545, 2395, 3780,
    3584, 2867, 1559, 3552, 2282, 2109, 3724, 3267, 2523, 3370, 3518, 2431,
    2710, 3819, 4032, 2873, 3838, 3730, 2539, 1763, 2809, 2551, 2842, 2302,
    2188, 3744, 3635, 2632, 2166, 1736, 2694, 2736, 1996, 3277, 3818, 3774,
    830,  4036, 2454, 2962, 3394, 2935, 3182, 2791, 3557, 3405, 3979, 3648,
    3768, 3840, 4018, 3946, 3090, 3197, 3506, 2823, 3374, 4007, 3739, 3422,
    3498, 3984, 3857, 1707, 929,  4050, 3205, 3758, 3903, 3634, 4015, 3136,
    1964, 609,  1918, 1061, 948,  360,  1155, 1001, 1137, 1021, 967,  1564,
    1143, 787,  1444, 794,  558,  1095, 1107, 544,  373,  1603, 1265, 1509,
    1831, 1992, 1754, 949,  2553, 1693, 1098, 1863, 1408, 1619, 509,  644,
    856,  744,  2429, 2120, 422,  935,  982,  2410, 798,  1776, 1095, 1435,
    918,  1522, 1154, 699,  2192, 1004, 1533, 742,  653,  1135, 1387, 1074,
    1415, 1920, 1338, 930,  761,  1134, 2105, 420,  1144, 1231, 1299, 1516,
    840,  1979, 1409, 976,  1101, 1154, 791,  1489, 894,  1488, 1369, 540,
    1291, 791,  1014, 949,  879,  1288, 1098, 1202, 1765, 1072, 1457, 839,
    1468, 1022, 660,  852,  170,  1733, 1239, 354,  414,  801,  1182, 2238,
    1484, 2449, 1584, 866,  873,  1213, 1297, 1605, 1269, 1567, 1134, 1443,
    1625, 1059, 1248, 423,  1018, 728,  551,  1313, 1333, 1834, 1133, 483,
    1906, 1636, 1309, 1061, 735,  1537, 1577, 1526, 714,  1327, 1013, 1013,
    901,  1600, 341,  2646, 986,  1334, 1288, 1265, 800,  1653, 1233, 1474,
    767,  769,  641,  1433, 815,  1235, 870,  1249, 858,  1630, 948,  1165,
    929,  767,  1507, 1633, 653,  911,  1586, 1360, 1591, 957,  795,  1589,
    544,  1350, 1552, 634,  958,  685,  1551, 1012, 1982, 1809, 1273, 268,
    1119, 1265, 1700, 1425, 1201, 1045, 607,  1430, 1485, 861,  1023, 1312,
    1506, 691,  1343, 827,  1582, 1129, 1153, 364,  1167, 1040, 1107, 814,
    881,  1798, 1027, 2157, 1657, 871,  781,  582,  2179, 1695, 968,  1248,
    1161, 1347, 1909, 759,  1620, 1112, 462,  1955, 1531, 1824, 1191, 1089,
    1472, 431,  991,  1012, 1221, 739,  1887, 892,  1183, 616,  914,  1307,
    1785, 754,  168,  1315, 591,  1693, 1839, 1010, 799,  783,  1053, 547,
    789,  1004, 1599, 1602, 354,  1317, 1634, 730,  1660, 1416, 1431, 1030,
    1502, 869,  1100, 528,  907,  1148, 670,  858,  1341, 1004, 650,  863,
    1063, 523,  880,  1054, 1017, 1369, 1732, 858,  2162, 1590, 590,  876,
    1102, 1411, 873,  1280, 686,  1190, 984,  1259, 942,  698,  1473, 1185,
    684,  844,  618,  1515, 796,  2108, 453,  898,  1354, 1483, 1592, 677,
    2212, 2275, 1946, 1006, 641,  1789, 1463, 2091, 611,  758,  1201, 1166,
    1509, 1151, 2206, 1504, 1072, 1363, 570,  1966, 446,  1469, 1577, 1834,
    593,  1351, 2164, 545,  1218, 435,  1113, 1533, 1541, 353,  816,  1489,
    1294, 1012, 1035, 501,  975,  1209, 363,  1118, 715,  889,  1337, 403,
    1112, 530,  1297, 468,  1742, 1053, 546,  1166, 1223, 576,  1593, 933,
    659,  1367, 1861, 586,  828,  439,  1598, 770,  1040, 1081, 1590, 955,
    1173, 1875, 1261, 1413, 707,  980,  1117, 1493, 1422, 1283, 934,  1447,
    1842, 899,  1770, 511,  1012, 1357, 812,  1338, 1044, 1497, 1756, 1412,
    1929, 1057, 1114, 971,  1140, 1847, 227,  1080, 992,  1614, 434,  1390,
    1601, 588,  707,  897,  1171, 947,  1994, 623,  823,  1250, 893,  1351,
    1481, 523,  1545, 781,  962,  977,  1814, 1792, 1462, 1161, 1334, 544,
    741,  532,  249,  1204, 1461, 1619, 849,  875,  1410, 552,  329,  1181,
    1388, 1504, 398,  2106, 1466, 548,  1762, 1778, 228,  1726, 1330, 1225,
    2570, 1108, 1091, 1298, 1613, 543,  358,  1662, 1264, 306,  1126, 676,
    1068, 976,  1541, 596,  2332, 1535, 462,  514,  0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
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    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
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    1162, 1491, 1213, 707,  609,  2092, 1596, 2049, 2186, 2211, 2135, 2203,
    2877, 2163, 1916, 2000, 1608, 2318, 1702, 2257, 964,  1160, 2577, 2447,
    841,  1481, 1323, 2740, 1652, 2593, 2063, 2407, 1901, 1934, 1749, 969,
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    3931, 2290, 2658, 1520, 2194, 2191, 2100, 1143, 1633, 1821, 2428, 2069,
    1492, 1275, 2073, 1693, 1355, 1747, 1352, 1539, 768,  2191, 1716, 2093,
    2283, 2673, 2173, 2478, 3077, 2429, 2595, 2105, 1779, 3069, 1980, 2449,
    974,  1175, 2664, 2451, 1012, 1921, 1601, 3076, 1947, 2761, 2203, 2521,
    1929, 2324, 1842, 1177, 2850, 2001, 2567, 1878, 1835, 2736, 1869, 3155,
    2185, 2786, 2106, 1838, 2064, 1435, 2735, 1984, 2233, 1711, 1752, 2114,
    2551, 2392, 2374, 1471, 1531, 1631, 2197, 2008, 1968, 1850, 1733, 1577,
    2696, 2161, 2241, 1478, 2263, 2199, 2514, 2211, 2564, 2556, 2373, 1368,
    2496, 1228, 1111, 1732, 1794, 3093, 2260, 1831, 1751, 1472, 1987, 2786,
    2604, 3032, 2132, 1530, 1748, 2145, 1545, 2642, 1650, 1996, 2091, 2120,
    2590, 2780, 1996, 1007, 1982, 1590, 2097, 1907, 2114, 2252, 1561, 2281,
    2317, 2109, 1802, 1792, 1759, 1916, 2563, 2345, 955,  2120, 1465, 1518,
    1483, 1828, 1136, 3678, 1680, 2357, 2389, 1678, 1576, 2645, 2570, 2135,
    1703, 2042, 1689, 1956, 1837, 2131, 1877, 2320, 2042, 2164, 2044, 1885,
    2088, 1431, 2162, 2075, 1562, 2228, 2327, 1739, 2602, 1537, 1474, 2336,
    1190, 1694, 2755, 1520, 2602, 1924, 2702, 2315, 2777, 2218, 2223, 2419,
    2301, 2178, 2428, 2361, 1779, 2494, 1899, 2343, 1774, 1240, 2120, 2226,
    2383, 1056, 2696, 1651, 2280, 2413, 1417, 2104, 1608, 2195, 2253, 1510,
    2192, 2216, 1975, 2301, 2734, 1295, 1203, 1132, 2759, 2352, 2290, 2036,
    1715, 2965, 2681, 1479, 2007, 2161, 2447, 2225, 2524, 2426, 1737, 2488,
    2364, 1391, 1393, 1949, 2542, 2047, 1998, 2189, 2007, 2722, 1707, 2636,
    2838, 1894, 2107, 2849, 1847, 2423, 2350, 1956, 2798, 1301, 1729, 1288,
    1407, 1698, 1989, 2267, 2213, 2563, 2727, 1369, 2541, 2289, 2881, 2185,
    2047, 1760, 1773, 910,  1613, 1876, 2262, 2426, 2437, 1563, 1491, 2604,
    1783, 1371, 1897, 1907, 2313, 2834, 2809, 2163, 2641, 2603, 2197, 1195,
    2607, 2377, 1845, 2406, 2277, 1571, 1700, 2161, 2186, 2246, 1936, 1946,
    1393, 1284, 1724, 2293, 2327, 2724, 1010, 1740, 2430, 2172, 2892, 1143,
    2399, 2890, 2471, 2535, 2433, 2773, 2032, 2697, 2325, 1464, 2426, 1808,
    1925, 1700, 2419, 2319, 1482, 1844, 1889, 2975, 1886, 1935, 2350, 2785,
    1971, 1566, 2754, 2455, 1708, 749,  2073, 1936, 2125, 1075, 1688, 2421,
    2809, 1943, 2473, 1135, 1504, 2083, 912,  2617, 1581, 1822, 1457, 2505,
    1841, 1179, 2671, 1420, 2315, 1265, 1612, 2084, 2743, 1901, 2535, 2212,
    2036, 2290, 2161, 1988, 1706, 1540, 2520, 1336, 2618, 1313, 1911, 2905,
    1478, 2892, 2537, 2649, 2342, 2205, 2530, 2547, 1862, 2288, 1655, 2110,
    2934, 2030, 1949, 2225, 1894, 2517, 1955, 1821, 2444, 2089, 2214, 2035,
    2535, 2258, 1870, 1846, 2937, 2734, 1867, 2414, 1749, 2232, 1990, 1521,
    2594, 1066, 1590, 1380, 2708, 2045, 2179, 1953, 2234, 2528, 1472, 2466,
    1963, 1248, 2266, 1359, 2013, 3030, 2829, 2877, 2186, 1999, 2567, 1058,
    1988, 898,  590,  2169, 1941, 2797, 1623, 2306, 2203, 615,  2149, 2446,
    2293, 1652, 1393, 2465, 2499, 1900, 1964, 2709, 1262, 2334, 2227, 2384,
    3124, 1800, 1949, 2432, 2269, 698,  1564, 2101, 2327, 1788, 2395, 1086,
    1363, 2667, 1976, 1683, 2525, 2501, 1310, 2074, 0,    0,    0,    0,
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    0,    0,    0,    0,    4023, 2400, 2671, 1817, 2718, 2270, 2257, 1199,
    1954, 2183, 2443, 2486, 1866, 1811, 2232, 1733, 1528, 1957, 1590, 1563,
    1228, 2238, 2081, 2302, 3077, 2775, 3137, 2597, 3106, 2568, 2655, 2413,
    1784, 3420, 2138, 2610, 1638, 1293, 2698, 2484, 1395, 1933, 1735, 3350,
    2671, 2925, 2277, 2778, 2287, 2565, 2117, 1245, 3358, 2039, 2869, 2870,
    2152, 2845, 1984, 3535, 2347, 3044, 2198, 2592, 2356, 1650, 2799, 2511,
    2403, 1972, 2109, 2315, 3372, 2565, 2529, 2280, 1764, 1872, 2476, 2273,
    2517, 1880, 1759, 1896, 2870, 2230, 2301, 1966, 2500, 2972, 2675, 2404,
    2780, 3049, 2470, 1842, 2856, 1296, 1133, 1768, 2670, 3249, 2450, 2156,
    2380, 2376, 2514, 2909, 2885, 3302, 2194, 2541, 2152, 2341, 1682, 2886,
    2397, 2275, 2782, 2632, 2755, 2905, 2608, 2336, 2155, 1721, 2639, 2270,
    2721, 2290, 1592, 2974, 2556, 2470, 2029, 1863, 1981, 1944, 2570, 3181,
    1279, 2488, 1748, 1623, 1592, 1941, 1171, 3755, 2017, 2386, 2516, 1790,
    1667, 3025, 2666, 2529, 2301, 2057, 2301, 2145, 1847, 2710, 2106, 2629,
    2376, 2847, 2478, 2197, 2220, 2518, 2434, 2629, 2253, 2663, 2406, 2038,
    2916, 1691, 2061, 2503, 1729, 1775, 3178, 1743, 2852, 2129, 3211, 2379,
    3012, 2357, 2316, 2511, 2329, 2348, 2460, 2394, 2042, 2797, 2029, 2483,
    2140, 1606, 2558, 2393, 3094, 1217, 2781, 2076, 2298, 2959, 1690, 2332,
    1767, 2762, 2684, 1958, 2654, 2429, 2486, 2384, 2787, 2020, 1847, 1835,
    2831, 2505, 2411, 2563, 1938, 3468, 2749, 1623, 2531, 2197, 2671, 2475,
    2752, 2709, 2544, 2505, 2501, 1680, 1682, 2008, 2837, 2150, 2407, 2425,
    2408, 2842, 1891, 2654, 3301, 1899, 2804, 2867, 2515, 2591, 2453, 2042,
    2853, 1544, 1781, 1509, 2171, 2454, 2196, 2374, 2576, 2841, 2770, 1949,
    2602, 2609, 2896, 2257, 2352, 2476, 1799, 1456, 2241, 1909, 3083, 2654,
    2488, 2548, 1654, 2719, 2196, 1772, 2675, 2614, 2771, 3188, 3058, 2365,
    2738, 2651, 2298, 1964, 2653, 2427, 1934, 2464, 2526, 1852, 1781, 2478,
    2219, 2671, 2081, 2025, 2099, 1764, 2273, 2562, 2616, 2773, 1733, 1839,
    2490, 2179, 3140, 1442, 2534, 3115, 2545, 2626, 2459, 2931, 2095, 2846,
    2486, 1756, 2742, 1889, 2205, 1711, 2437, 2481, 2538, 2737, 1960, 3143,
    2152, 2500, 2595, 3014, 2152, 2111, 2984, 2832, 1744, 789,  2289, 2257,
    2128, 1289, 1880, 2500, 2813, 2948, 2947, 1530, 2303, 2217, 2331, 2742,
    2195, 2084, 1536, 3174, 2215, 2235, 3176, 1439, 2409, 1820, 1960, 2203,
    2942, 2338, 3099, 2436, 2104, 2426, 2262, 1994, 2005, 2330, 2548, 1724,
    2640, 1505, 2333, 2981, 1819, 2961, 2620, 2936, 2809, 2447, 2674, 2710,
    2002, 2558, 2127, 2184, 2986, 2240, 2252, 2583, 1902, 2756, 2002, 2751,
    2457, 2281, 2458, 2168, 2707, 2551, 2291, 2024, 2968, 2860, 2102, 2884,
    2193, 2374, 2417, 2113, 2777, 1490, 2225, 1749, 3487, 2249, 2994, 1955,
    2447, 2878, 2378, 2679, 2015, 1511, 2322, 1975, 2299, 3091, 2837, 2906,
    2593, 2087, 2663, 1120, 2027, 1384, 681,  2467, 2054, 2939, 2150, 2384,
    2354, 687,  2358, 2499, 2501, 1883, 2911, 2487, 2959, 2830, 2391, 2782,
    2088, 2480, 2264, 2612, 3357, 2034, 2073, 2703, 2715, 1590, 1655, 2193,
    2524, 2067, 2400, 1128, 2393, 2755, 2394, 3191, 2719, 2827, 1603, 2146,
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    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
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    0,    0,    0,    0,    0,    0,    0,    0,    0,    2462, 2871, 1933,
    3008, 2752, 2485, 2725, 2482, 2375, 2835, 2620, 1937, 3008, 2319, 1807,
    1904, 2383, 1909, 1833, 1278, 2294, 2298, 2323, 3196, 2953, 3212, 2612,
    3400, 2657, 2901, 2425, 2978, 3691, 2614, 2793, 2145, 2454, 2756, 2978,
    1718, 2094, 1964, 3449, 2787, 3341, 2974, 2878, 2320, 2606, 2973, 1512,
    3596, 2147, 2888, 2987, 2284, 2887, 2251, 3677, 2858, 3142, 2651, 2890,
    2369, 2424, 2960, 2629, 2624, 2514, 2190, 2357, 3462, 2626, 2726, 2387,
    1857, 2046, 2552, 2449, 2957, 2522, 2128, 2432, 2985, 2446, 2997, 2548,
    2770, 3081, 2987, 2770, 2851, 3072, 2487, 2711, 3104, 1960, 1403, 1776,
    2810, 3287, 2577, 2558, 2759, 2731, 2962, 3104, 3005, 3345, 2580, 2616,
    2393, 2353, 1755, 2965, 2455, 2879, 3406, 3070, 2802, 3296, 2659, 3028,
    2477, 1981, 3145, 2725, 2848, 2568, 1975, 3030, 2560, 2755, 3251, 2773,
    2015, 2254, 2862, 3236, 1975, 2609, 2113, 1825, 2465, 1972, 1270, 3812,
    2700, 2395, 2881, 2216, 3238, 3278, 2926, 3488, 2549, 2075, 2517, 2547,
    2163, 2874, 2202, 2691, 2488, 3063, 2720, 2521, 2338, 2876, 2437, 3096,
    2604, 2719, 2654, 2402, 3042, 2054, 2487, 2569, 2124, 2061, 3251, 2201,
    2873, 2762, 3225, 2683, 3174, 2635, 2458, 2652, 2461, 2376, 2741, 2468,
    2170, 2800, 2550, 2786, 2571, 1775, 2661, 2437, 3134, 1363, 2839, 2099,
    2985, 3060, 1785, 2513, 1894, 2795, 3164, 2056, 3073, 3255, 2643, 2495,
    2830, 3372, 2078, 2002, 3292, 2986, 2578, 2860, 2024, 3567, 2988, 1803,
    2832, 2371, 2747, 2940, 3183, 3064, 2911, 2768, 2714, 2332, 1849, 2982,
    2954, 2545, 2416, 2842, 2631, 2957, 2260, 2796, 3388, 1919, 2937, 3060,
    2844, 2912, 2473, 2404, 3227, 1910, 1944, 3139, 2514, 3089, 2510, 2816,
    2654, 2930, 2946, 2579, 3216, 2790, 3634, 2275, 2710, 2724, 2158, 1503,
    2271, 2091, 3343, 2767, 2516, 2607, 1721, 2916, 2464, 2518, 2816, 3068,
    3142, 3317, 3413, 2971, 3146, 2660, 2334, 2598, 2702, 2865, 2347, 2646,
    2775, 2207, 1896, 2586, 2385, 3027, 2945, 2090, 2133, 1896, 2282, 3135,
    2853, 2848, 2153, 1897, 2497, 2782, 3297, 1821, 2605, 3365, 2593, 2675,
    2648, 2934, 2305, 3054, 2822, 2199, 3166, 2308, 3205, 2183, 3337, 2643,
    3075, 2977, 2235, 3389, 2650, 2799, 3047, 3127, 2572, 2359, 3050, 2907,
    2177, 873,  2442, 2350, 2847, 1323, 2566, 2768, 2836, 3144, 2994, 1580,
    2413, 2362, 2393, 2904, 2312, 2156, 2065, 3220, 2532, 2498, 3542, 2225,
    2413, 2835, 2200, 2299, 3035, 2547, 3136, 2547, 2863, 2536, 2525, 2116,
    2009, 2471, 2614, 1871, 3038, 1809, 2599, 3194, 1914, 3033, 3149, 3000,
    3418, 2510, 2800, 2939, 2374, 2751, 2851, 2214, 3019, 2530, 2421, 2745,
    2417, 2903, 2093, 2808, 2484, 2409, 2704, 2522, 2741, 2561, 2691, 2526,
    3093, 2882, 2211, 2935, 2291, 2825, 2722, 3014, 2788, 1903, 2554, 2350,
    3506, 2325, 3065, 2474, 2619, 3165, 3075, 3006, 2472, 1516, 2657, 2327,
    2305, 3344, 2980, 2980, 3394, 2255, 3324, 1425, 2371, 1873, 835,  2691,
    2076, 2985, 2846, 2743, 2548, 848,  2484, 2541, 3147, 2818, 3018, 2769,
    3068, 3123, 2766, 3315, 2612, 2812, 2549, 2977, 3361, 2254, 3363, 3096,
    2970, 1897, 2129, 2665, 2952, 3210, 2817, 1522, 2587, 2854, 2756, 3219,
    3100, 3642, 1610, 2808, 0,    0,    0,    0,    0,    0,    0,    0,
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    3732, 4016, 3300, 3149, 3928, 3917, 3714, 3610, 3871, 3914, 4022, 3923,
    4079, 4003, 3875, 3757, 3904, 3850, 3790, 3900, 3818, 4084, 3876, 3910,
    4052, 3395, 3786, 4057, 3865, 3753, 3082, 3683, 3540, 4083, 3856, 3957,
    3216, 3267, 3858, 4054, 4034, 3976, 4067, 3669, 3839, 3763, 3509, 3930,
    3348, 3891, 3550, 3554, 3608, 3786, 3738, 4032, 3923, 3361, 3921, 3779,
    4029, 3181, 3931, 3709, 3872, 3964, 3360, 3853, 3861, 3807, 4023, 3622,
    3997, 4021, 3807, 3881, 3735, 3918, 3869, 4006, 3948, 3427, 3109, 3963,
    3656, 3993, 3950, 3878, 3883, 3842, 3901, 3947, 4045, 3844, 4010, 4092,
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    0,    0,    0,    0};
const float H_4096_8192_3d_input[] = {
    11.852162234851706,     7.0103776711404908,    3.6619359861492673,
    9.1155659337359651,     6.795951531382654,     8.6693010702449591,
    -8.23827897319795,      0.53165879290715867,   12.37912440997912,
    6.8418050353375426,     10.802319289914337,    11.0638091710385,
    -7.7866481722334679,    -4.8420100015139598,   -6.8818670299223434,
    -8.2450578579286891,    -7.2246894597896008,   -13.815987133628951,
    12.234902365241059,     -6.9198331467931302,   15.160223910436569,
    -4.5765959155807234,    2.1484900276377519,    -4.9196084573928518,
    -16.426663730230732,    5.8977022766980651,    -16.030910288790917,
    -0.24586731175381885,   1.4726914953126813,    3.5871240318927358,
    15.458510455388435,     -10.98031892270658,    6.9279611100247118,
    -7.933561985282596,     4.3891940661748912,    -13.812675339667404,
    6.7914919672067642,     -12.203132891070263,   -12.317652041719844,
    -8.3021764626005385,    -0.77739811052311958,  -12.432640728863277,
    14.289974286204039,     -5.5150189346697038,   11.547145236606516,
    -5.1736147941182464,    -13.447736295418046,   10.413127356393893,
    -2.6729465454008059,    -10.729411552653465,   6.5555201942237238,
    -11.14433713195789,     13.458451742879602,    9.6447015865820465,
    -12.302090740163194,    9.8687463840475296,    -10.637342777071272,
    7.1778509359003975,     6.8268531761459119,    8.7068281158836012,
    -15.40339167220862,     -9.8296506950508089,   -15.280917762828489,
    10.102496828664545,     10.037807270690561,    2.4867958468392133,
    1.5319150444766332,     2.7112921117745921,    7.9889723896025524,
    12.905833618771201,     11.00245683272405,     -8.3107418252762226,
    10.705033599923738,     11.912486445703268,    -8.4081265077051892,
    -8.3025042540547016,    -5.9142638277949331,   6.867038040093588,
    3.1567085236762717,     -14.534241677148046,   -12.01689262177565,
    -3.8412916991891328,    6.3786080585444953,    9.4837369133142211,
    -11.075276289896468,    -11.925721231361601,   -5.4124139821564548,
    8.2303728395014968,     -13.750199366192035,   -4.3314232665367056,
    -3.732456805346037,     -17.295039854808323,   -15.232902687351071,
    -7.5988314451312435,    -9.5932544936015738,   -7.3591078974534163,
    8.6527118214619172,     -10.608033142382668,   -4.2032772324090244,
    -6.5085189200544926,    14.134044288331616,    4.4085632854650365,
    -4.5210532847247746,    -8.4975231327737504,   12.277990534144504,
    15.150130037398975,     -10.227258018348129,   17.948861291429097,
    7.4173114502152595,     12.362776847751627,    4.8547293037318235,
    6.3837603116600432,     14.087489189989547,    -1.9380985184061332,
    -7.9696678961374925,    4.6059836342656899,    6.8183217574223667,
    -6.8901903967415219,    -14.325821680951959,   -1.3621121662714455,
    -11.149847668005521,    5.6833891974043862,    -17.398485016935354,
    6.3370092934725513,     -9.6926235420538767,   -17.960802334972445,
    13.547835590566937,     -16.451894282762098,   -7.5577889478681159,
    -1.0982925426375461,    -5.7669050004987508,   11.375367155954425,
    -6.4107510452532788,    -8.7207638586733562,   -9.1539348930425479,
    -13.633137903872361,    -7.0081337564945265,   5.4180605521415544,
    2.9680844338645205,     -6.5310659644000255,   -8.2872761646593993,
    -11.760139277151676,    13.382166905042041,    -6.0047682130962281,
    3.2451347130941364,     -2.0983582950687798,   8.0680309516812514,
    -12.377986061470123,    -12.358162277163119,   -5.2920128479525648,
    -9.202112202542164,     -5.6654376221077563,   -5.8110927985741485,
    -4.984676819547551,     6.3016022666512397,    10.38212336351639,
    1.6487659492093847,     -11.063498383826518,   -9.3364733355871579,
    -13.426754544804615,    7.9359711669654969,    7.0591108612555526,
    11.63486957350829,      -9.0269661526237055,   -8.6632957575356464,
    -7.0684291859722208,    -6.9541491917610934,   -8.5499008046873524,
    -11.95275094242079,     -14.577751370567405,   7.92565420601432,
    13.265770899061641,     6.5227249157502625,    12.649384608136366,
    -8.3035216691676741,    -8.4837140909479327,   -1.7621082901418452,
    11.064948293934235,     9.8955732057806269,    -5.2006112065475802,
    -16.609541870425645,    -4.1563385545013416,   0.91112171860938895,
    -12.709318786199471,    6.9261739544913699,    15.622947349737608,
    -5.9748260335048391,    -6.2084520599854978,   4.5326675370634977,
    -10.190200128059862,    -9.0182739518530965,   7.7990243565929234,
    11.016287638043895,     7.1274548793238948,    -8.5088898394843291,
    -6.3753383395958672,    8.4458247674289417,    7.0899296466375441,
    11.984742407457288,     -8.6997143935860084,   6.617717259407943,
    -8.6211765783576588,    8.0571281026284201,    8.2215638031313709,
    -11.853165323809973,    -11.220981285243187,   -4.3770395500199921,
    9.957777885767797,      -1.5614058322047073,   -9.56164241353585,
    7.3792373063941277,     6.9920671675894948,    5.9799488599242361,
    1.461883121442231,      11.700348102506707,    -5.2194626192370359,
    -6.0603567908988003,    -8.1431285255806856,   10.93990987379744,
    9.5381901110903051,     -11.466961877786789,   -10.507751479156317,
    14.428027308035865,     -5.4370273484553913,   -5.6747013525591967,
    -9.9762942471273934,    1.9692091719828315,    -8.4206281749827721,
    6.8899330422146594,     -9.8324002842385241,   0.66168400552588214,
    8.6516044033634287,     10.65559107155409,     9.7754600143798633,
    -8.8306105049263834,    6.1770006762428427,    14.456377606617053,
    2.4403104433038201,     -12.633954694196738,   -12.024403140645889,
    -5.0527916191406135,    -6.9352208566553832,   9.4384867856948844,
    -13.373923816314992,    8.7356124420999599,    -9.5270461696321664,
    10.480812629474718,     -3.4687409495354067,   -7.6636427108879923,
    -10.896129661276621,    -16.064091728119134,   22.476534329946553,
    12.460754581359602,     12.087618911587649,    0.51377717054611638,
    5.5500395425073492,     4.9591318659994164,    5.5053463280191135,
    9.0332303928329463,     7.937396425761964,     6.6491955641641933,
    14.874164932122154,     -11.391128249290208,   3.169135882092851,
    -1.8400528212873013,    -4.0964252848802376,   9.4117328208476536,
    -12.593571458178959,    -5.1728063343608373,   -2.0242804594425396,
    -7.1426529934991043,    6.622101708069974,     -16.392117821465206,
    9.1077195568830138,     -11.835790666635249,   -15.065298034974141,
    -8.7710386430596365,    -0.30877893122877215,  -5.2306016562458142,
    -1.1863392825524115,    -17.232954172250324,   4.4787746080943949,
    -4.081066098262939,     -14.903892606586338,   -0.51135806197439337,
    -9.974082856724543,     10.97578876027282,     15.2893043712315,
    -11.13092785115396,     -1.9074874511930142,   3.2050565854522359,
    13.289562124770748,     -9.2824501805811419,   -0.86689339429455436,
    -9.4077211103368672,    -1.0128498072031238,   -11.424484441892933,
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    -10.62711764548111,     -12.729565385666962,   13.352497567712332,
    -4.13019164432668,      -7.8355600520889723,   -3.4095215304340725,
    -2.7246229213887867,    13.561843730450432,    -14.379007078568874,
    11.826952848891258,     -11.400536273804352,   8.3810471390962462,
    -14.184050570248575,    7.5105880109842111,    -2.2878414379050076,
    15.169788102943443,     -12.423854278773089,   -16.853481953907202,
    -3.0539856062495048,    9.5258258006608738,    -13.294954954033772,
    -7.1935249107278372,    12.621221969275366,    7.8989220530602893,
    3.8377543005570955,     4.7690377320246871,    -7.384166148934951,
    10.334861379144421,     -10.274185725776984,   -7.660512381552711,
    7.3680216050980096,     17.2154865886667,      -11.555638968508676,
    -5.2123312917408828,    -8.6742651332660614,   5.0064889708760525,
    -5.5487370240093012,    7.1983809609150224,    9.9944498733302272,
    15.041759259342541,     -7.0968495665534554,   -5.3048916738390384,
    -4.4004665558320015,    0.61130867486904827,   -9.5652360197388209,
    2.3804090476127437,     -13.00880511434177,    3.1004911438401592,
    -7.9257672664784797,    -1.8498710126451656,   9.4089658079582676,
    -9.3980833510896122,    3.2850011750268808,    11.14162677836504,
    9.0463525052204901,     17.759167515399369,    -8.8862696648537689,
    5.1450915491649409,     -15.615150307773268,   8.2649197485165651,
    3.3389335977197661,     -14.403893803387318,   -5.6464545636723633,
    9.3258220331606356,     -16.489910476642127,   0.94272857156461431,
    -7.117796211634638,     8.6340635171552211,    -1.2102285972486879,
    6.2782088175979966,     -11.716934692108198,   -13.052164576733411,
    18.843873738601541,     -8.4224555986266356,   -1.1432524799001162,
    -3.8398585674607997,    -8.4714833622312913,   2.0076683906851831,
    9.2963876576745346,     -8.0839565376672269,   12.295453213278766,
    1.5119421372641451,     9.8998470462031776,    -5.4780824940352852,
    1.1647911971025293,     -12.103113874013506,   -3.7658943085565455,
    9.0166245080951626,     -8.6305499914144281,   -7.8916091318734143,
    -13.664449973608248,    5.0933679355857704,    -11.878457052893864,
    16.283617978951966,     6.481687968258778,     -7.6764315788480753,
    -10.637829608202328,    6.7202557437259403,    13.070109182549373,
    11.32861639589585,      1.6023878516954715,    10.81099319579819,
    11.064755987893601,     -8.8993382477578553,   1.1065340825911127,
    -4.0072350338781044,    -13.247125215116327,   -12.902201228698958,
    15.169451502840104,     -3.8842697226530465,   7.225301354379301,
    -11.797852685816045,    -8.4876550257372188,   15.014740389697723,
    -7.1777134822539024,    4.1563808876431727,    6.7961656493164897,
    9.7772439433017837,     2.6003534672856192,    -9.7640847894151364,
    -4.2051688010879182,    -15.33565658024747,    -12.504579708311388,
    17.697085446646163,     5.6312969757365874,    10.240899486109848,
    9.1619551197188134,     4.7029812523887085,    -2.2046888221920842,
    14.66532470205472,      9.4017352298948325,    -6.117210458506948,
    -6.2527105853832241,    7.3418788249859661,    -3.6555906611950397,
    7.4710208495267914,     5.5773908821928915,    5.6464739233408832,
    -11.615308048177509,    -10.69821757689555,    -13.369385393755998,
    6.0300942733256271,     15.607387338825525,    -8.3086246196607227,
    -7.139670830160231,     8.8784588291256075,    4.1708577896337715,
    2.6199826223917646,     -13.065911490156337,   -12.032534201424433,
    9.6843978770284949,     7.1524531158330165,    -13.135769434302969,
    1.2427684037042608,     6.2493750435616269,    0.73878143318346856,
    8.7227099006195505,     7.9663740421354419,    7.4937386461486719,
    5.774464047604746,      4.2168093825758302,    4.7039817600578395,
    13.415247674093951,     -7.3174039448491781,   -5.3909250082277875,
    18.695142956129555,     -12.304572907796414,   -6.5398571898751117,
    18.631807413371877,     9.4536969028645768,    -13.511273178728333,
    -10.098213695601105,    16.086137486114445,    18.171369447471893,
    -2.1734552236459308,    -11.782729170896866,   5.849586272815432,
    2.8432532912453499,     -8.6659364132968726,   -9.397193645256646,
    -6.3510378255402182,    10.834119352361396,    -12.567501212291639,
    -14.398105520628647,    0.5239804902430778,    -11.960984222249122,
    6.8701999902207866,     8.0199245631006484,    14.269997689580181,
    15.2180752462958,       -5.4141452527800009,   -8.4604656780780214,
    -10.694272205515562,    -12.821403781193764,   8.6812253918746212,
    0.4525232549543311,     -10.871924654919006,   2.4785398516664845,
    12.674109486125982,     -4.7531674501584495,   -8.0661831358532119,
    3.4451825561063716,     8.755949031759954,     -9.4833485583637032,
    -2.0114798466168886,    6.0122157485115482,    -10.758596640141253,
    -13.761354665322369,    8.5905176393054177,    -18.228562554601435,
    9.080612052222488,      8.0100529390576689,    3.070646795107026,
    -7.9897143166324804,    -5.9493600674042657,   -11.682410982429239,
    9.9461080066481919,     13.875657245813436,    -11.973248443192302,
    -10.046380635362567,    11.90216103103017,     -9.8334952670900346,
    9.5612352151746371,     13.116744300854657,    14.890206611587024,
    -5.1652284438441471,    -9.1408609862296188,   0.68131117120729867,
    10.105102898176298,     3.0892960928571287,    8.7208655049996171,
    -8.7314249296659536,    6.2622037924388589,    11.764851162340614,
    -10.158475697384489,    -8.241762229290357,    -4.392241536128906,
    2.1365025208899553,     12.213135386472439,    10.674973455418831,
    -5.6136099825764028,    9.2271565795945918,    -7.8507177690892025,
    -10.08053767291975,     -6.422447124457614,    -2.6002837724789458,
    13.401297355087104,     -6.8962451976034886,   -7.5969203877193712,
    15.930628754629025,     14.097561380198398,    6.6046768448215545,
    10.60230900465903,      -11.02144608625337,    -16.832723742932952,
    8.4030535324322333,     -12.145417589148504,   -14.454852580995478,
    1.9572939413308439,     -9.3989472440312198,   -2.5327484722969262,
    -3.1432884014579705,    -13.818082107891763,   7.5956036075988456,
    10.968509524909171,     11.885444086327313,    -2.3464206973006023,
    -12.277090696751678,    9.8489528008234171,    0.67512123985906181,
    -13.143678504215814,    14.094369358052766,    7.4943084657254548,
    -14.048054835858178,    9.6379845559922277,    -3.7260180377250842,
    -17.784311336615762,    -9.9122096142624407,   -6.9409869403274822,
    -4.4694695770167767,    -5.582926198616228,    -3.1915641871381251,
    -8.5710422806326072,    12.761174819911322,    1.9876912021969184,
    -4.3233301507084612,    -6.8999907772043469,   -15.301865440425326,
    10.916938981775766,     -12.350602455670384,   -10.542931739727027,
    8.1739508602352391,     4.3903649389270001,    8.6785615014862216,
    -1.0832203953721748,    6.8106936608319817,    10.280910758363124,
    7.9331359435106927,     -6.2680382802730632,   9.3832393897838688,
    -11.100371066619278,    14.991146890736436,    9.4952786314282243,
    -12.3279500947281,      4.0471278249600369,    7.6407267357926916,
    5.9145188591615749,     -1.2642658202804962,   0.99680562205569856,
    -4.4005432201193422,    4.2794794689942304,    10.246091749207004,
    -14.172753816473582,    6.284155849638533,     -7.4755210690065725,
    -11.133460612054247,    -3.114492056114071,    11.612187785869857,
    -6.0797169756769698,    10.483978967793448,    -7.4498355642649798,
    -9.6201040952112962,    4.1172134388084691,    -1.0727347582503111,
    7.5416007802447753,     8.485412175873023,     -5.0536124690858752,
    -4.3415708303883287,    -9.8603165390514871,   4.9595291263974532,
    11.78565325523018,      -8.8417637712915234,   -3.3465091650762329,
    -12.955124625468562,    12.481083523950533,    8.0649722531194925,
    -7.4942449660127082,    -6.930756000836765,    -20.146436634823356,
    -8.2923264891201871,    10.119682922667883,    15.081958191316007,
    10.959298710885019,     -7.702423224481203,    -8.5494236533905532,
    11.214983659935584,     -0.44116248520876644};
const char H_4096_8192_3d_detected_data[] = {
    0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1,
    0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1,
    0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1,
    1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1,
    0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1,
    1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1,
    1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1,
    1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1,
    0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1,
    1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1,
    1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1,
    1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1,
    0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1,
    0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1,
    0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1,
    0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0,
    1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1,
    1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1,
    1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1,
    1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0,
    1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0,
    1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1,
    0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1,
    0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0,
    1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0,
    0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0,
    0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0,
    0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0,
    1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0,
    0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0,
    1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1,
    0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0,
    0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0,
    0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1,
    0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1,
    0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1,
    0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0,
    1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1,
    1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1,
    1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0,
    0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0,
    0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1,
    0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1,
    0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1,
    0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1,
    1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0,
    1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0,
    0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1,
    1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1,
    0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0,
    0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0,
    1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1,
    1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1,
    0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1,
    0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0,
    1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0,
    0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0,
    1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0,
    1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1,
    1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1,
    0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0,
    0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1,
    0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0,
    0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1,
    0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0,
    1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1,
    0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1,
    1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1,
    0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0,
    1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1,
    0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1,
    1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0,
    1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1,
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