path: root/src/H2064_516_sparse_test.h

/*
  FILE....: ../src/H2064_516_sparse.h

  Static arrays for CML LDPC codec, generated
  by test_ldpc_fsk.m:simple_ut().

*/

#define NUMBERPARITYBITS 516
#define MAX_ROW_WEIGHT 12
#define CODELENGTH 2580
#define NUMBERROWSHCOLS 2064
#define MAX_COL_WEIGHT 3
#define DEC_TYPE 0
#define MAX_ITER 10

#include <stdint.h>

uint16_t H_rows[] = {
    870,  276,  110,  54,   226,  85,   59,   153,  31,   60,   46,   75,
    139,  239,  56,   13,   30,   45,   63,   34,   54,   21,   77,   204,
    441,  11,   297,  126,  148,  104,  269,  57,   369,  213,  117,  479,
    53,   124,  405,  97,   42,   132,  67,   103,  389,  156,  237,  105,
    418,  11,   60,   12,   195,  32,   11,   21,   10,   191,  176,  237,
    140,  376,  115,  9,    149,  304,  129,  308,  234,  129,  453,  215,
    176,  213,  151,  169,  41,   106,  421,  103,  83,   62,   124,  3,
    574,  39,   31,   472,  69,   8,    40,   352,  62,   275,  74,   121,
    125,  35,   83,   52,   21,   422,  229,  233,  62,   125,  181,  175,
    28,   43,   113,  340,  71,   4,    40,   249,  134,  168,  97,   15,
    26,   135,  104,  80,   206,  108,  307,  494,  358,  82,   159,  137,
    19,   210,  6,    19,   65,   285,  45,   154,  276,  14,   137,  79,
    241,  235,  116,  129,  84,   3,    122,  370,  132,  451,  77,   89,
    262,  79,   170,  469,  24,   163,  128,  18,   120,  244,  8,    153,
    151,  441,  95,   327,  284,  96,   84,   35,   61,   286,  20,   22,
    68,   131,  106,  30,   280,  343,  99,   124,  262,  208,  277,  44,
    349,  41,   10,   761,  39,   445,  165,  81,   393,  194,  18,   250,
    589,  70,   307,  1,    365,  47,   4,    9,    283,  133,  90,   601,
    117,  228,  212,  58,   420,  230,  142,  25,   57,   518,  88,   180,
    24,   122,  379,  143,  33,   30,   140,  68,   150,  320,  55,   33,
    132,  2,    22,   16,   272,  44,   264,  49,   174,  234,  86,   39,
    10,   278,  177,  178,  20,   126,  18,   90,   6,    184,  158,  111,
    246,  229,  221,  48,   267,  6,    172,  49,   291,  185,  67,   50,
    157,  66,   32,   525,  257,  196,  260,  92,   72,   163,  144,  329,
    134,  156,  47,   82,   49,   391,  26,   1,    88,   52,   56,   8,
    111,  138,  219,  57,   447,  182,  263,  38,   98,   75,   36,   83,
    245,  5,    419,  63,   12,   287,  603,  58,   507,  37,   2,    214,
    539,  55,   53,   81,   186,  73,   85,   97,   91,   332,  123,  66,
    188,  591,  158,  324,  88,   53,   214,  84,   389,  104,  271,  211,
    7,    393,  281,  242,  119,  848,  705,  428,  50,   28,   52,   15,
    5,    2,    230,  38,   76,   295,  217,  1,    56,   170,  145,  5,
    72,   460,  203,  145,  211,  121,  68,   538,  44,   133,  87,   494,
    325,  161,  781,  370,  51,   115,  262,  106,  614,  29,   220,  189,
    224,  165,  17,   72,   46,   17,   64,   19,   447,  13,   9,    270,
    4,    91,   471,  35,   23,   407,  34,   38,   82,   321,  112,  195,
    651,  7,    43,   431,  249,  171,  196,  311,  15,   66,   16,   633,
    37,   94,   102,  23,   3,    214,  252,  256,  173,  316,  125,  96,
    341,  71,   73,   338,  256,  165,  140,  108,  471,  434,  137,  642,
    172,  51,   113,  67,   172,  93,   23,   318,  514,  50,   118,  245,
    169,  14,   64,   40,   859,  95,   308,  65,   93,   42,   339,  46,
    7,    96,   142,  36,   131,  60,   13,   12,   25,   31,   183,  94,
    43,   241,  162,  26,   232,  120,  128,  118,  89,   164,  51,   29,
    127,  177,  180,  95,   332,  284,  32,   802,  452,  25,   382,  187,
    892,  432,  162,  126,  587,  342,  205,  170,  255,  73,   605,  579,
    398,  305,  58,   110,  178,  244,  306,  178,  166,  28,   368,  224,
    582,  135,  420,  618,  264,  234,  346,  223,  439,  399,  150,  655,
    242,  248,  750,  199,  242,  277,  112,  163,  545,  359,  487,  322,
    570,  64,   402,  412,  252,  116,  147,  109,  27,   197,  204,  251,
    282,  455,  118,  390,  225,  382,  215,  373,  554,  371,  568,  289,
    225,  405,  160,  414,  290,  109,  524,  406,  344,  188,  385,  33,
    791,  261,  171,  475,  100,  183,  156,  564,  78,   395,  144,  497,
    334,  45,   167,  79,   27,   520,  239,  449,  138,  347,  667,  572,
    61,   278,  136,  375,  231,  320,  167,  304,  389,  185,  171,  109,
    468,  243,  206,  210,  305,  160,  682,  514,  433,  152,  375,  1064,
    48,   522,  139,  98,   191,  557,  127,  189,  372,  54,   515,  406,
    370,  950,  549,  352,  319,  27,   489,  440,  636,  941,  153,  102,
    268,  120,  190,  719,  451,  175,  539,  477,  279,  474,  17,   232,
    221,  476,  174,  415,  545,  357,  368,  149,  94,   409,  218,  76,
    87,   136,  114,  245,  596,  408,  335,  246,  511,  560,  438,  298,
    351,  91,   22,   813,  108,  546,  248,  218,  629,  212,  223,  569,
    611,  93,   399,  185,  427,  260,  20,   111,  354,  187,  150,  702,
    316,  666,  541,  227,  558,  486,  207,  450,  224,  568,  222,  341,
    81,   222,  386,  441,  484,  159,  289,  142,  372,  534,  157,  78,
    337,  522,  70,   293,  318,  161,  325,  74,   194,  797,  130,  128,
    70,   386,  657,  611,  105,  456,  230,  100,  61,   274,  358,  135,
    249,  236,  247,  264,  279,  123,  345,  59,   397,  645,  448,  80,
    192,  149,  190,  564,  292,  508,  359,  202,  152,  459,  200,  446,
    293,  512,  103,  154,  229,  492,  145,  256,  828,  55,   296,  133,
    147,  314,  220,  190,  481,  208,  290,  198,  146,  100,  202,  259,
    295,  16,   505,  251,  86,   375,  618,  266,  891,  166,  159,  269,
    850,  127,  397,  759,  494,  141,  567,  339,  119,  336,  162,  98,
    265,  770,  423,  380,  346,  116,  402,  101,  628,  623,  286,  309,
    107,  453,  406,  496,  200,  865,  720,  429,  187,  107,  609,  439,
    90,   48,   330,  59,   87,   632,  323,  219,  101,  865,  203,  14,
    74,   466,  462,  160,  448,  168,  474,  980,  396,  148,  244,  904,
    438,  198,  982,  601,  199,  119,  300,  240,  702,  241,  258,  192,
    291,  227,  34,   698,  78,   107,  123,  89,   704,  114,  274,  461,
    151,  115,  576,  323,  201,  468,  271,  231,  92,   592,  220,  909,
    829,  243,  480,  466,  345,  763,  404,  356,  86,   110,  210,  688,
    353,  271,  740,  226,  352,  247,  288,  758,  338,  426,  235,  405,
    625,  155,  146,  475,  491,  189,  177,  216,  962,  503,  216,  726,
    381,  219,  183,  102,  332,  113,  155,  440,  922,  450,  379,  294,
    301,  36,   80,   75,   875,  462,  547,  69,   330,  186,  527,  92,
    138,  157,  169,  69,   143,  401,  24,   283,  41,   37,   472,  309,
    117,  747,  342,  251,  300,  182,  216,  202,  266,  192,  217,  302,
    660,  360,  663,  130,  355,  367,  47,   1103, 519,  811,  586,  488,
    983,  652,  303,  201,  759,  860,  416,  585,  268,  428,  928,  819,
    821,  379,  340,  493,  260,  752,  599,  314,  182,  444,  612,  369,
    692,  311,  523,  622,  335,  259,  499,  225,  526,  409,  188,  709,
    356,  606,  777,  222,  541,  327,  201,  176,  551,  544,  1008, 372,
    628,  181,  523,  549,  476,  464,  240,  593,  181,  254,  223,  305,
    285,  595,  217,  887,  550,  552,  278,  381,  621,  517,  953,  538,
    265,  581,  313,  540,  366,  626,  647,  511,  467,  508,  890,  63,
    976,  275,  312,  885,  598,  254,  180,  687,  196,  398,  146,  675,
    380,  101,  443,  122,  85,   531,  347,  463,  167,  536,  724,  710,
    288,  351,  232,  387,  424,  650,  363,  544,  540,  248,  279,  121,
    479,  267,  218,  445,  485,  240,  737,  692,  1017, 331,  716,  1130,
    207,  602,  274,  750,  261,  572,  131,  435,  672,  253,  729,  542,
    739,  1062, 731,  619,  328,  65,   769,  502,  898,  966,  158,  211,
    289,  193,  314,  784,  533,  396,  567,  497,  280,  696,  348,  290,
    383,  636,  526,  470,  622,  541,  411,  286,  378,  561,  374,  194,
    349,  166,  143,  390,  697,  533,  570,  304,  615,  709,  476,  679,
    454,  287,  114,  904,  535,  786,  270,  308,  828,  302,  506,  732,
    626,  533,  584,  186,  456,  495,  350,  317,  672,  343,  315,  919,
    367,  820,  548,  296,  614,  635,  209,  543,  350,  733,  239,  376,
    287,  344,  470,  563,  607,  319,  323,  473,  428,  677,  212,  263,
    386,  567,  435,  328,  616,  255,  729,  147,  320,  855,  267,  426,
    261,  458,  977,  670,  173,  478,  366,  112,  71,   419,  968,  139,
    606,  292,  275,  463,  344,  671,  810,  77,   465,  755,  579,  179,
    353,  357,  442,  599,  354,  805,  453,  407,  193,  510,  285,  513,
    583,  645,  325,  173,  621,  573,  423,  479,  912,  130,  300,  227,
    184,  391,  293,  204,  673,  282,  371,  324,  313,  228,  334,  343,
    655,  42,   532,  559,  658,  484,  921,  373,  944,  329,  184,  302,
    861,  205,  414,  771,  606,  312,  652,  503,  413,  415,  238,  449,
    781,  874,  586,  544,  402,  468,  525,  155,  845,  714,  295,  564,
    197,  509,  863,  640,  209,  986,  808,  691,  317,  355,  789,  779,
    281,  141,  594,  336,  105,  682,  360,  299,  559,  876,  608,  315,
    401,  632,  480,  161,  577,  284,  657,  1012, 481,  330,  388,  1011,
    524,  423,  1019, 812,  416,  168,  322,  258,  710,  703,  1027, 195,
    447,  259,  633,  990,  710,  215,  410,  458,  760,  174,  312,  605,
    269,  206,  617,  534,  554,  497,  296,  393,  236,  784,  483,  1189,
    892,  602,  788,  709,  382,  831,  537,  695,  99,   563,  424,  759,
    432,  281,  795,  319,  422,  684,  331,  866,  377,  638,  247,  501,
    711,  463,  475,  631,  507,  310,  298,  252,  1059, 757,  364,  785,
    410,  233,  411,  236,  487,  339,  341,  473,  1022, 527,  515,  700,
    380,  388,  414,  253,  913,  466,  773,  238,  638,  335,  896,  298,
    310,  658,  461,  207,  205,  550,  29,   425,  141,  76,   649,  442,
    322,  832,  730,  307,  385,  401,  268,  301,  311,  306,  291,  364,
    864,  560,  840,  199,  358,  385,  179,  1142, 520,  986,  600,  712,
    1018, 661,  365,  237,  769,  953,  517,  605,  396,  459,  991,  867,
    899,  415,  700,  556,  324,  788,  639,  778,  226,  743,  685,  706,
    883,  362,  970,  785,  387,  376,  734,  392,  730,  448,  250,  731,
    387,  665,  1015, 243,  812,  391,  795,  346,  588,  737,  1077, 874,
    933,  412,  817,  585,  550,  491,  273,  640,  208,  542,  338,  436,
    895,  694,  257,  899,  583,  629,  327,  815,  744,  573,  1226, 727,
    272,  607,  331,  1050, 594,  754,  716,  515,  524,  695,  1086, 297,
    1177, 400,  678,  1004, 648,  294,  555,  780,  316,  486,  689,  679,
    430,  136,  717,  233,  400,  646,  383,  530,  263,  574,  749,  790,
    336,  377,  409,  609,  499,  686,  518,  595,  601,  334,  531,  197,
    485,  348,  424,  701,  579,  500,  1147, 797,  1085, 404,  738,  1200,
    253,  714,  427,  756,  303,  610,  313,  1399, 770,  455,  732,  796,
    824,  1230, 927,  929,  397,  276,  794,  741,  957,  1052, 1002, 213,
    392,  566,  461,  832,  798,  433,  590,  723,  718,  755,  878,  446,
    615,  669,  776,  608,  659,  565,  443,  457,  407,  577,  631,  255,
    365,  399,  152,  766,  814,  556,  640,  1137, 1000, 767,  745,  733,
    1194, 529,  238,  1034, 789,  1314, 436,  493,  853,  492,  654,  809,
    885,  636,  596,  270,  848,  774,  364,  512,  832,  411,  516,  927,
    700,  857,  588,  703,  756,  758,  315,  574,  810,  885,  416,  600,
    690,  417,  501,  626,  707,  581,  377,  916,  660,  808,  587,  265,
    395,  613,  906,  381,  661,  310,  799,  148,  632,  941,  750,  578,
    277,  1065, 1242, 1018, 326,  551,  459,  134,  99,   510,  1097, 198,
    673,  531,  450,  697,  394,  749,  948,  193,  664,  965,  818,  454,
    419,  556,  721,  742,  473,  886,  647,  694,  209,  906,  433,  674,
    620,  666,  464,  446,  634,  728,  430,  630,  990,  435,  371,  534,
    394,  467,  928,  326,  723,  490,  816,  699,  490,  530,  384,  361,
    772,  374,  554,  619,  672,  613,  924,  677,  1079, 404,  367,  337,
    898,  228,  418,  844,  766,  317,  680,  690,  566,  680,  333,  726,
    960,  942,  637,  607,  452,  664,  698,  235,  942,  736,  368,  584,
    362,  650,  871,  683,  328,  1141, 988,  715,  915,  495,  1084, 919,
    613,  179,  888,  355,  144,  1243, 655,  551,  582,  993,  730,  340,
    548,  774,  643,  469,  651,  392,  843,  1196, 590,  573,  545,  1211,
    593,  439,  1027, 869,  586,  442,  762,  502,  758,  822,  1048, 254,
    628,  417,  683,  996,  752,  384,  725,  676,  842,  360,  374,  688,
    353,  549,  661,  648,  584,  624,  348,  530,  250,  1135, 667,  1298,
    1033, 623,  1102, 715,  594,  888,  871,  833,  321,  634,  491,  766,
    505,  297,  1024, 388,  460,  707,  735,  1023, 444,  1098, 629,  505,
    807,  581,  543,  687,  598,  337,  434,  806,  1111, 761,  521,  826,
    547,  257,  434,  412,  688,  577,  363,  839,  1187, 1306, 648,  808,
    504,  760,  429,  309,  916,  503,  777,  403,  1076, 512,  1127, 592,
    351,  692,  711,  474,  587,  558,  487,  498,  326,  164,  902,  456,
    471,  836,  748,  469,  480,  537,  553,  507,  347,  490,  498,  420,
    1010, 598,  1022, 283,  362,  958,  553,  1156, 712,  1108, 718,  753,
    1067, 681,  398,  483,  903,  956,  698,  612,  578,  489,  1294, 990,
    920,  592,  1113, 862,  464,  1435, 835,  788,  280,  957,  795,  743,
    1108, 425,  1026, 879,  488,  701,  931,  610,  741,  1061, 282,  830,
    413,  983,  1159, 1067, 1071, 437,  843,  506,  610,  890,  1133, 1034,
    954,  452,  925,  785,  836,  620,  597,  722,  258,  858,  342,  455,
    927,  706,  299,  1104, 660,  811,  333,  1173, 878,  858,  1336, 816,
    457,  948,  563,  1054, 678,  764,  733,  565,  555,  873,  1150, 485,
    1303, 496,  796,  1218, 823,  634,  624,  878,  686,  684,  879,  1100,
    454,  154,  1002, 357,  822,  676,  740,  578,  350,  1124, 834,  876,
    500,  486,  426,  663,  529,  947,  656,  621,  823,  361,  615,  421,
    585,  417,  538,  707,  656,  861,  1236, 831,  1087, 508,  768,  1269,
    292,  786,  478,  1043, 593,  765,  408,  1439, 806,  528,  801,  912,
    882,  1348, 1050, 1077, 528,  349,  996,  799,  976,  1265, 1100, 674,
    470,  617,  540,  847,  862,  457,  757,  841,  973,  921,  969,  539,
    646,  699,  959,  654,  670,  787,  872,  559,  744,  1276, 666,  273,
    569,  833,  191,  775,  896,  576,  935,  1231, 1046, 923,  804,  949,
    1201, 572,  303,  1162, 827,  1346, 897,  612,  937,  599,  675,  992,
    930,  644,  1151, 301,  1103, 1086, 482,  831,  1130, 472,  753,  1007,
    852,  1054, 635,  705,  955,  823,  425,  596,  962,  908,  445,  880,
    867,  478,  509,  653,  775,  591,  510,  1055, 798,  1021, 740,  294,
    427,  679,  973,  484,  686,  369,  836,  410,  802,  1245, 883,  649,
    431,  1102, 1267, 1262, 557,  1092, 837,  164,  881,  726,  1120, 273,
    697,  1097, 609,  708,  663,  838,  985,  552,  968,  1042, 1044, 483,
    520,  691,  736,  756,  521,  895,  779,  914,  266,  1356, 548,  742,
    964,  888,  481,  877,  685,  791,  437,  696,  991,  825,  643,  708,
    969,  683,  1080, 1001, 1012, 617,  1030, 734,  792,  1069, 504,  394,
    864,  595,  676,  782,  695,  837,  1154, 819,  1104, 437,  413,  383,
    913,  627,  624,  987,  1394, 449,  839,  825,  1054, 1180, 378,  1211,
    1090, 1114, 804,  897,  558,  1032, 746,  246,  1051, 870,  958,  725,
    536,  702,  1035, 971,  356,  1195, 1061, 827,  1090, 526,  1092, 1250,
    1025, 231,  947,  659,  272,  1284, 802,  826,  902,  1040, 870,  345,
    658,  822,  715,  1012, 872,  575,  945,  1232, 805,  720,  580,  1215,
    854,  603,  1074, 1056, 991,  528,  1218, 642,  1060, 1010, 1203, 288,
    978,  884,  762,  1118, 763,  430,  786,  922,  928,  886,  529,  706,
    403,  1104, 693,  868,  815,  670,  366,  546,  378,  1151, 901,  1522,
    1107, 671,  1333, 745,  724,  1230, 1073, 911,  429,  646,  611,  889,
    746,  403,  1032, 616,  637,  1382, 767,  1083, 451,  1212, 803,  1318,
    849,  662,  955,  712,  971,  571,  496,  977,  1145, 1160, 931,  830,
    580,  359,  805,  668,  770,  771,  390,  882,  1329, 1572, 851,  829,
    535,  944,  535,  373,  930,  669,  828,  565,  1219, 620,  1308, 793,
    361,  938,  859,  482,  946,  1186, 742,  591,  846,  221,  906,  641,
    631,  1068, 780,  536,  517,  844,  652,  721,  552,  523,  627,  525,
    1186, 944,  1039, 794,  498,  1076, 654,  1167, 856,  1264, 890,  768,
    1225, 691,  729,  543,  936,  1016, 1210, 656,  604,  608,  1324, 1035,
    1095, 639,  1311, 1281, 877,  1519, 923,  974,  431,  1057, 903,  809,
    1137, 569,  1243, 1118, 880,  720,  1102, 1168, 821,  1193, 432,  999,
    555,  1013, 1375, 1200, 1080, 495,  982,  519,  630,  1066, 1164, 1091,
    1006, 1039, 943,  1195, 1103, 665,  894,  908,  329,  1081, 951,  641,
    1060, 793,  719,  1232, 713,  847,  395,  1213, 1038, 1041, 1587, 984,
    752,  1125, 929,  1095, 988,  940,  845,  603,  623,  875,  1158, 772,
    1503, 506,  816,  1500, 1007, 638,  633,  936,  703,  704,  1173, 1171,
    724,  175,  1051, 604,  1174, 682,  819,  854,  384,  1196, 1249, 1029,
    509,  504,  537,  722,  571,  1121, 739,  838,  1027, 363,  743,  570,
    818,  546,  721,  736,  842,  905,  1372, 932,  1178, 863,  840,  1334,
    299,  855,  499,  1293, 1202, 1061, 689,  1516, 866,  614,  862,  955,
    981,  1511, 1153, 1256, 768,  501,  1044, 1282, 985,  1455, 1235, 711,
    1001, 627,  641,  889,  914,  644,  877,  913,  1149, 1138, 1188, 557,
    871,  787,  1015, 727,  731,  868,  892,  560,  778,  1331, 1025, 318,
    619,  864,  203,  911,  1052, 705,  1079, 1461, 1090, 994,  1023, 1050,
    1535, 625,  999,  1344, 933,  1498, 1045, 939,  1249, 650,  910,  1294,
    951,  649,  1163, 418,  1133, 1089, 493,  1116, 1309, 561,  857,  1073,
    1112, 1223, 909,  807,  989,  1053, 997,  813,  976,  1074, 527,  1070,
    966,  775,  511,  1004, 800,  717,  933,  1120, 900,  1389, 922,  684,
    440,  704,  1106, 668,  767,  757,  847,  936,  835,  1293, 893,  895,
    647,  1269, 1480, 1304, 782,  1166, 952,  566,  1124, 846,  1203, 354,
    893,  1200, 952,  792,  667,  1164, 1003, 718,  1002, 1139, 1163, 1096,
    685,  769,  1003, 977,  532,  1128, 905,  926,  443,  1405, 576,  835,
    1116, 1145, 562,  1063, 737,  883,  639,  790,  1021, 967,  772,  995,
    1165, 754,  1422, 1583, 1075, 997,  1082, 748,  827,  1197, 516,  465,
    1451, 645,  879,  809,  739,  855,  1155, 948,  1117, 460,  465,  791,
    1098, 693,  673,  1087, 1400, 532,  910,  829,  1171, 1214, 400,  1221,
    1603, 1323, 834,  965,  787,  1045, 918,  589,  1074, 1171, 1116, 744,
    905,  931,  1176, 1005, 589,  1238, 1107, 972,  1115, 600,  1181, 1609,
    1105, 521,  1158, 1049, 306,  1389, 804,  963,  971,  1199, 917,  716,
    668,  973,  998,  1174, 903,  590,  1130, 1472, 841,  811,  597,  1399,
    956,  719,  1301, 1083, 1044, 622,  1446, 1097, 1206, 1119, 1345, 604,
    1324, 920,  1129, 1340, 798,  444,  980,  997,  1232, 1087, 884,  1093,
    422,  1135, 909,  1026, 1055, 824,  462,  678,  945,  1234, 1149, 1542,
    1177, 675,  1421, 779,  1013, 1486, 1388, 1191, 514,  1219, 760,  974,
    773,  477,  1190, 784,  674,  1428, 778,  1257, 477,  1252, 901,  1352,
    1037, 1224, 970,  813,  1009, 1162, 519,  1088, 1157, 1409, 1182, 1089,
    755,  438,  1076, 725,  869,  900,  436,  1148, 1421, 1588, 956,  978,
    749,  950,  932,  516,  1046, 814,  865,  588,  1303, 713,  1614, 1024,
    421,  959,  897,  518,  987,  1275, 765,  887,  893,  333,  925,  732,
    635,  1169, 910,  1434, 575,  959,  653,  850,  728,  583,  1093, 542,
    1316, 1031, 1059, 1122, 642,  1121, 891,  1209, 925,  1299, 896,  932,
    1288, 934,  984,  580,  1113, 1413, 1224, 964,  643,  773,  1337, 1663,
    1341, 657,  1357, 1473, 1292, 1551, 970,  1209, 792,  1339, 1141, 1140,
    1320, 616,  1383, 1126, 980,  1014, 1146, 1245, 859,  1298, 513,  1182,
    662,  1014, 1562, 1297, 1151, 502,  1139, 874,  1259, 1645, 1169, 1242,
    1072, 1412, 1115, 1275, 1466, 1239, 1038, 1184, 458,  1094, 1440, 810,
    1352, 1339, 830,  1354, 801,  848,  671,  1300, 1147, 1047, 1625, 1117,
    1046, 1327, 1047, 1237, 1101, 1018, 1016, 745,  1066, 1132, 1221, 841,
    1512, 522,  853,  1535, 1248, 975,  694,  1143, 824,  1009, 1185, 1288,
    908,  200,  1308, 904,  1665, 687,  843,  943,  1199, 1198, 1379, 1168,
    571,  789,  630,  846,  602,  1342, 1350, 995,  1114, 408,  1043, 1304,
    945,  751,  793,  741,  1072, 1006, 1401, 1331, 1296, 1152, 856,  1337,
    321,  881,  937,  1318, 1535, 1560, 806,  1696, 924,  625,  994,  1058,
    996,  1649, 1183, 1442, 1118, 901,  1094, 1408, 1016, 1653, 1259, 800,
    1317, 677,  815,  894,  1017, 1278, 957,  1109, 1284, 1321, 1220, 947,
    1383, 860,  1220, 783,  873,  979,  1025, 1228, 1007, 1417, 1231, 735,
    783,  872,  492,  1028, 1244, 852,  1144, 1645, 1172, 1088, 1110, 1204,
    1622, 738,  1146, 1513, 1106, 1564, 1079, 1021, 1436, 776,  917,  1467,
    1051, 814,  1217, 812,  1174, 1271, 863,  1187, 1461, 644,  1308, 1154,
    1263, 1225, 1121, 867,  1110, 1157, 1139, 989,  1033, 1270, 1163, 1170,
    1037, 880,  803,  1098, 807,  968,  1446, 1235, 1064, 1547, 979,  842,
    500,  838,  1398, 939,  916,  953,  920,  946,  851,  1428, 1210, 960,
    762,  1456, 1519, 1384, 898,  1361, 995,  1100, 1508, 856,  1284, 553,
    1330, 1249, 1258, 1020, 764,  1165, 1179, 1047, 1056, 1285, 1266, 1286,
    853,  1397, 1515, 987,  547,  1296, 1215, 965,  489,  1444, 800,  849,
    1300, 1242, 662,  1085, 818,  918,  748,  954,  1024, 1022, 954,  1109,
    1218, 821,  1431, 1587, 1315, 1081, 1140, 754,  943,  1371, 1003, 840,
    1475, 722,  1081, 1033, 1216, 1254, 1175, 1122, 1203, 728,  488,  1189,
    1377, 1136, 907,  1267, 1416, 751,  1169, 1101, 1289, 1241, 597,  1322,
    1625, 1332, 961,  985,  915,  1128, 1069, 764,  1175, 1177, 1156, 889,
    1075, 1088, 1251, 1031, 738,  1523, 1229, 994,  1489, 637,  1185, 1651,
    1112, 680,  1608, 1197, 513,  1538, 978,  1040, 1000, 1432, 1030, 887,
    833,  1057, 1094, 1565, 1190, 696,  1178, 1556, 1045, 1307, 1294, 1436,
    1096, 747,  1485, 1128, 1430, 664,  1653, 1180, 1597, 1167, 1452, 776,
    1341, 1305, 1142, 1418, 849,  562,  1247, 998,  1391, 1161, 941,  1387,
    912,  1149, 1078, 1029, 1141, 1197, 582,  701,  961,  1423, 1195, 1674,
    1205, 964,  1633, 929,  1127, 1571, 1581, 1291, 681,  1272, 781,  981,
    783,  765,  1295, 974,  1015, 1516, 873,  1324, 482,  1262, 1371, 1648,
    1101, 1240, 1115, 837,  1048, 1301, 763,  1260, 1229, 1426, 1316, 1208,
    963,  1083, 1125, 992,  882,  1034, 467,  1176, 1429, 1610, 1452, 1376,
    753,  1184, 1239, 777,  1291, 1264, 1223, 659,  1378, 797,  1632, 1071,
    575,  1099, 926,  801,  1042, 1322, 1111, 1234, 1112, 979,  962,  993,
    713,  1271, 1008, 1533, 653,  999,  746,  876,  751,  1123, 1319, 693,
    1354, 1209, 1207, 1159, 1250, 1192, 1385, 1350, 952,  1543, 1020, 1067,
    1632, 1119, 1635, 1165, 1161, 1483, 1347, 983,  669,  796,  1412, 1684,
    1374, 886,  1468, 1479, 1594, 1781, 1113, 1274, 969,  1343, 1403, 1261,
    1440, 681,  1424, 1216, 1207, 1210, 1172, 1325, 935,  1414, 1123, 1287,
    1158, 1032, 1589, 1554, 1326, 562,  1313, 949,  1296, 1760, 1260, 1552,
    1129, 1422, 1258, 1542, 1525, 1253, 1089, 1255, 1131, 1220, 1652, 869,
    1410, 1351, 1266, 1518, 868,  884,  1302, 1486, 1362, 1185, 1652, 1172,
    1205, 1388, 1479, 1270, 1224, 1297, 1138, 817,  1170, 1214, 1240, 1153,
    1551, 817,  915,  1553, 1319, 1496, 717,  1194, 850,  1091, 1256, 1541,
    1039, 561,  1358, 938,  1707, 1557, 1368, 1160, 1342, 1404, 1515, 1435,
    727,  790,  1396, 854,  891,  1783, 1365, 1271, 1183, 1400, 1205, 1367,
    1068, 794,  1006, 803,  1485, 1164, 1422, 1502, 1334, 1359, 1215, 1698,
    1042, 1204, 1028, 1458, 1550, 1600, 1111, 1700, 1132, 992,  1134, 1430,
    1049, 1731, 1323, 1555, 1228, 1456, 1099, 1545, 1091, 1685, 1445, 857,
    1612, 735,  1126, 946,  1168, 1399, 1222, 1192, 1373, 1575, 1317, 1073,
    1506, 1143, 1440, 1438, 1263, 1105, 1327, 1256, 1126, 1619, 1265, 924,
    961,  1023, 866,  1070, 1437, 1132, 1487, 1675, 1333, 1423, 1182, 1295,
    1683, 939,  1154, 1617, 1212, 1665, 1414, 1107, 1534, 1282, 1402, 1485,
    1096, 1059, 1495, 981,  1235, 1381, 1017, 1240, 1534, 875,  1561, 1279,
    1354, 1353, 1396, 1243, 1547, 1356, 1166, 1181, 1343, 1285, 1247, 1255,
    1357, 975,  919,  1318, 988,  1477, 1521, 1358, 1206, 1549, 1146, 1117,
    1305, 1019, 1406, 982,  942,  1014, 1075, 1004, 860,  1512, 1241, 1053,
    858,  1620, 1527, 1415, 1251, 1497, 1108, 1166, 1667, 967,  1434, 665,
    1335, 1313, 1406, 1283, 902,  1362, 1358, 1501, 1222, 1427, 1280, 1309,
    984,  1647, 1573, 1449, 618,  1328, 1310, 1120, 844,  1739, 1424, 1246,
    1474, 1561, 699,  1277, 826,  1386, 1257, 1227, 1056, 1189, 975,  1125,
    1329, 917,  1464, 1784, 1405, 1152, 1153, 935,  1092, 1464, 1040, 907,
    1592, 1428, 1136, 1063, 1420, 1390, 1251, 1217, 1268, 1143, 708,  1603,
    1407, 1160, 1207, 1340, 1488, 998,  1315, 1344, 1300, 1365, 1134, 1401,
    1629, 1366, 1008, 1013, 1211, 1179, 1188, 825,  1262, 1393, 1469, 1173,
    1077, 1248, 1417, 1095, 907,  1654, 1320, 1065, 1598, 799,  1601, 1656,
    1190, 714,  1754, 1595, 651,  1647, 1063, 1397, 1157, 1481, 1237, 1060,
    1482, 1287, 1192, 1618, 1394, 1259, 1558, 1635, 1162, 1377, 1803, 1492,
    1476, 774,  1626, 1420, 1504, 689,  1687, 1372, 1616, 1199, 1471, 934,
    1342, 1351, 1261, 1442, 923,  723,  1361, 1084, 1450, 1233, 1011, 1389,
    1338, 1186, 1340, 1110, 1327, 1225, 690,  1483, 1064, 1443, 1258, 1697,
    1213, 966,  1687, 1161, 1314, 1605, 1877, 1477, 747,  1280, 1028, 1138,
    820,  782,  1560, 1038, 1592, 1517, 894,  1586, 568,  1276, 1379, 1753,
    1230, 1749, 1122, 1458, 1080, 1526, 1411, 1309, 1332, 1430, 1381, 1255,
    1648, 1248, 1267, 1459, 914,  1085, 1184, 1180, 1459, 1629, 1463, 1378,
    845,  1343, 1415, 1037, 1292, 1336, 1431, 734,  1426, 1193, 1688, 1279,
    940,  1313, 1036, 1155, 1099, 1406, 1490, 1326, 1556, 1069, 1005, 1142,
    1010, 1273, 1312, 1546, 761,  1624, 1065, 921,  1055, 1134, 1518, 839,
    1435, 1234, 1244, 1238, 1297, 1254, 1494, 1484, 1145, 1604, 1404, 1289,
    1645, 1131, 1658, 1198, 1392, 1557, 1667, 1082, 972,  918,  1432, 1701,
    1637, 1312, 1579, 1680, 1864, 1825, 1194, 1457, 1370, 1411, 1479, 1398,
    1510, 1049, 1447, 1576, 1252, 1290, 1360, 1679, 1070, 1506, 1699, 1359,
    1204, 1222, 1818, 1596, 1363, 834,  1383, 1513, 1499, 1766, 1646, 1629,
    1328, 1423, 1460, 1640, 1923, 1302, 1216, 1364, 1369, 1233, 1739, 1031,
    1624, 1505, 1434, 1630, 1451, 1196, 1548, 1527, 1454, 1520, 1707, 1407,
    1467, 1561, 1604, 1319, 1543, 1456, 1374, 881,  1453, 1323, 1735, 1246,
    1660, 1381, 1188, 1709, 1391, 1532, 771,  1264, 851,  1219, 1322, 1639,
    1144, 960,  1615, 1136, 1732, 1690, 1371, 1433, 1377, 1459, 1571, 1447,
    1058, 1245, 1451, 1053, 949,  1894, 1531, 1305, 1253, 1493, 1303, 1380,
    1581, 1330, 1082, 1036, 1541, 1520, 1437, 1585, 1359, 1425, 1410, 1857,
    1465, 1239, 1208, 1585, 1642, 1807, 1743, 1710, 1167, 1135, 1465, 1513,
    1175, 1759, 1524, 1655, 1348, 1471, 1150, 1581, 1917, 1694, 1545, 911,
    1622, 852,  1348, 1191, 1261, 1410, 1491, 1237, 1401, 1822, 1325, 1457,
    1668, 1236, 1449, 1698, 1270, 1392, 1418, 1486, 1133, 1797, 1503, 1041,
    1198, 1392, 1041, 1632, 1621, 1311, 1638, 1832, 1364, 1452, 1499, 1472,
    1913, 1295, 1208, 1766, 1369, 1780, 1541, 1462, 1545, 1336, 1569, 1693,
    1385, 1276, 1547, 1266, 1338, 1505, 1029, 1493, 1670, 958,  1572, 1607,
    1446, 1634, 1530, 1414, 1704, 1552, 1441, 1653, 1480, 1310, 1712, 1347,
    1403, 1408, 951,  1360, 1213, 1562, 1710, 1419, 1528, 1589, 1443, 1345,
    1636, 1071, 1637, 1026, 1644, 1030, 1638, 1221, 1119, 1570, 1712, 1253,
    989,  1742, 1790, 1537, 1619, 1508, 1150, 1326, 1926, 1470, 1702, 940,
    1733, 1362, 1429, 1299, 938,  1606, 1453, 1568, 1335, 1738, 1564, 1312,
    1275, 1718, 1575, 1528, 937,  1491, 1415, 1179, 900,  1843, 1471, 1345,
    1536, 1573, 930,  1301, 1020, 1482, 1412, 1274, 1105, 1347, 1344, 1764,
    1729, 1062, 1563, 1843, 1532, 1228, 1302, 1273, 1397, 1591, 1391, 1052,
    1662, 1470, 1181, 1425, 1427, 1578, 1263, 1395, 1292, 1317, 899,  1808,
    1539, 1650, 1231, 1376, 1515, 1001, 1330, 1603, 1331, 1419, 1369, 1444,
    1709, 1374, 1068, 1019, 1306, 1298, 1293, 1011, 1831, 1502, 1590, 1238,
    1148, 1269, 1555, 1114, 1036, 1740, 1325, 1405, 1670, 1062, 1773, 1688,
    1335, 1476, 1827, 1723, 820,  1748, 1072, 1536, 1398, 1732, 1587, 1400,
    1529, 1355, 1304, 1651, 1722, 1268, 1673, 1800, 1178, 1503, 1847, 1656,
    1497, 1595, 1689, 1576, 1740, 963,  1822, 1393, 1743, 1246, 1499, 1106,
    1356, 1387, 1367, 1745, 1009, 780,  1458, 1206, 1673, 1250, 1662, 1611,
    1555, 1193, 1353, 1597, 1559, 1445, 1187, 1677, 1155, 1464, 1497, 1713,
    1357, 1450, 1696, 1257, 1339, 1685, 1894, 1615, 1733, 1315, 1364, 1363,
    1418, 1123, 1738, 1445, 1620, 1660, 1156, 1599, 926,  1507, 1640, 1763,
    1289, 1791, 1648, 1601, 1321, 1544, 1577, 1683, 1376, 1543, 1540, 1361,
    1666, 1273, 1433, 1504, 993,  1265, 1288, 1454, 1482, 1736, 1481, 1439,
    1286, 1467, 1461, 1474, 1510, 1489, 1681, 934,  1643, 1606, 1791, 1491,
    1341, 1429, 1127, 1227, 1299, 1600, 1904, 1395, 1588, 1084, 1057, 1183,
    1252, 1283, 1478, 1611, 1320, 1851, 1355, 1223, 1147, 1403, 1576, 1035,
    1460, 1260, 1641, 1538, 1368, 1475, 1511, 1672, 1329, 1764, 1426, 1353,
    1691, 1214, 1915, 1247, 1538, 1658, 1716, 1689, 1000, 986,  1884, 1975,
    1730, 1899, 1623, 1834, 1981, 1952, 1473, 1490, 1529, 1557, 1748, 1544,
    1617, 1720, 1690, 1667, 1630, 1641, 1678, 1750, 1367, 1525, 1786, 1447,
    1395, 1390, 1826, 1598, 1427, 861,  1582, 1658, 1878, 1768, 1651, 1699,
    1532, 1498, 1529, 1765, 1939, 1384, 1723, 1872, 1758, 1438, 1742, 1093,
    1657, 1759, 1650, 1634, 1519, 1290, 1569, 1573, 1591, 1643, 1928, 1411,
    1786, 1582, 1661, 1521, 1657, 1609, 1633, 972,  1468, 1644, 1776, 1388,
    1692, 1409, 1278, 1812, 1631, 1873, 1310, 1272, 1109, 1333, 1522, 1722,
    1612, 1048, 1741, 1674, 1755, 1711, 1568, 1437, 1484, 1567, 1746, 1583,
    1148, 1307, 1570, 1314, 950,  1906, 1654, 1379, 1494, 1518, 1455, 1393,
    1703, 1390, 1606, 1226, 1669, 1580, 1692, 1719, 1366, 1438, 1433, 1982,
    1514, 1676, 1609, 1742, 1690, 1819, 1763, 1730, 1321, 1566, 2031, 1680,
    1741, 1839, 1762, 1925, 1536, 1524, 1283, 1723, 1924, 1706, 1558, 1375,
    1758, 1417, 1691, 1350, 1727, 1475, 1537, 1457, 1506, 1917, 1386, 1695,
    1753, 1355, 1756, 1775, 1613, 1563, 1425, 1488, 1176, 1827, 1556, 1131,
    1349, 1448, 1281, 1749, 1664, 1572, 1744, 1860, 1813, 1762, 1642, 1689,
    1928, 1570, 1878, 1890, 1739, 1809, 1799, 1663, 1591, 1495, 1695, 1762,
    1580, 1306, 1879, 1462, 1413, 1637, 1078, 1567, 1785, 1078, 1659, 1801,
    1530, 1769, 1579, 1549, 1747, 1682, 1796, 1668, 1727, 1822, 1836, 1378,
    1551, 1501, 1810, 1478, 1278, 1574, 1764, 1533, 1627, 1714, 1489, 1480,
    1726, 1584, 1643, 1387, 1655, 1058, 1720, 1370, 1595, 1795, 1832, 1843,
    1212, 1871, 1840, 1886, 1831, 1720, 1272, 1765, 1956, 1496, 1855, 1144,
    1830, 1404, 1593, 1507, 967,  1768, 1671, 1842, 1469, 1829, 1593, 1621,
    1516, 1763, 1612, 1982, 1124, 1613, 1715, 1375, 1311, 1844, 1509, 1448,
    1542, 1660, 1005, 1490, 1408, 1620, 1707, 1277, 1568, 1373, 1887, 1827,
    1778, 1510, 1782, 1886, 1537, 1424, 1402, 1282, 1496, 1681, 1649, 1286,
    1858, 1566, 1622, 1972, 1562, 1868, 1316, 1754, 1725, 1559, 1086, 1873,
    1594, 1792, 1351, 1579, 1889, 1043, 1380, 1789, 1588, 1481, 1487, 1650,
    1717, 1602, 1413, 1226, 1370, 1368, 1346, 1493, 1902, 1554, 1713, 1564,
    1244, 1432, 1597, 1328, 1285, 1828, 1484, 1466, 1719, 1550, 1909, 1854,
    1582, 1596, 1903, 1751, 1530, 1905, 1227, 1771, 1605, 1807, 1777, 1738,
    1592, 1460, 1507, 1708, 1745, 1385, 1686, 1869, 1277, 1517, 1867, 1776,
    1846, 1809, 1803, 1674, 1748, 1191, 1837, 1420, 1754, 1274, 1644, 1201,
    1366, 1450, 1402, 1757, 1140, 1500, 1465, 1509, 1793, 1352, 1804, 1702,
    1560, 1431, 1549, 1679, 1769, 1615, 1229, 1740, 1775, 1534, 1498, 1757,
    1416, 1567, 1711, 1360, 1472, 1705, 1923, 1782, 1746, 1767, 1575, 1531,
    1628, 1772, 1868, 1771, 1628, 1719, 1287, 1623, 1900, 1709, 1703, 1840,
    1382, 1841, 1808, 1860, 1788, 1652, 1687, 1810, 1488, 1661, 1867, 1476,
    1785, 1646, 1468, 1611, 1159, 1492, 1291, 1463, 1716, 1778, 1669, 1448,
    1539, 1633, 1511, 1523, 1672, 1821, 1718, 1349, 1875, 1659, 1835, 1558,
    1520, 1670, 1639, 1540, 1885, 1779, 1972, 1531, 1874, 1627, 1202, 1639,
    1553, 1540, 1539, 1646, 1439, 1856, 1444, 1279, 1241, 1952, 1701, 1280,
    1616, 1332, 1692, 1664, 1373, 1781, 1733, 1995, 1571, 1777, 1593, 1578,
    1869, 1233, 1916, 1504, 1849, 1704, 1729, 1896, 1953, 1449, 1899, 2007,
    1744, 2003, 1875, 1935, 2016, 1993, 1527, 1788, 1734, 1726, 1823, 1636,
    1619, 1734, 1755, 1829, 1773, 1799, 1700, 1947, 1938, 1647, 1789, 1550,
    1396, 1590, 1964, 1951, 1634, 1066, 1856, 1717, 1988, 1791, 1664, 1977,
    1544, 1715, 1563, 1801, 1988, 1725, 1815, 1921, 1897, 1442, 1831, 1217,
    1752, 1866, 1861, 1659, 1706, 1724, 1678, 1714, 1724, 1958, 2036, 1487,
    1978, 1657, 1997, 1800, 1895, 1708, 1811, 1678, 1705, 1962, 1927, 1699,
    1694, 1625, 1501, 1844, 1686, 1958, 1614, 1307, 1129, 1407, 1683, 1835,
    1800, 1152, 1793, 1879, 1820, 1747, 1598, 1922, 1553, 1768, 1811, 1838,
    1290, 1953, 1781, 1610, 1626, 1936, 1751, 1665, 1584, 1823, 1816, 1758,
    1932, 1454, 1793, 1436, 1817, 1675, 1697, 1927, 1655, 1546, 1677, 2003,
    1666, 1735, 1811, 1808, 1813, 1834, 1850, 1821, 1565, 1975, 2045, 1816,
    1809, 1951, 1862, 2048, 1911, 1686, 1441, 1878, 1976, 1865, 1906, 1608,
    1871, 1469, 1803, 1932, 1798, 1862, 1881, 1577, 1802, 1979, 1455, 1977,
    1820, 1495, 1816, 1907, 1784, 1774, 1789, 1743, 1533, 1830, 1684, 1201,
    1548, 1566, 1334, 1776, 1724, 1752, 1880, 1908, 1863, 1898, 1925, 1693,
    2033, 1799, 1910, 1893, 1928, 1833, 1841, 1706, 1801, 1599, 1737, 1934,
    1688, 2035, 1885, 1796, 1807, 1881, 1419, 1901, 1948, 1137, 1685, 1848,
    1624, 1829, 1868, 1630, 1819, 1772, 1946, 1787, 1805, 1941, 1854, 1554,
    1722, 1729, 1877, 1863, 1736, 1626, 1918, 1631, 1628, 1986, 1616, 1679,
    1820, 1869, 1756, 1662, 1876, 1380, 1815, 1914, 1680, 1956, 1870, 1947,
    1421, 1886, 1936, 1911, 1918, 1728, 1346, 1769, 2021, 1601, 1912, 1548,
    1835, 1502, 1605, 1927, 1372, 1865, 1673, 1891, 1494, 1882, 1779, 1814,
    1940, 1806, 1759, 2011, 1441, 1623, 1846, 1514, 1663, 2033, 1552, 1819,
    1574, 1850, 1671, 1702, 1757, 1756, 1836, 1384, 1980, 1640, 2038, 2006,
    1794, 1805, 1785, 1955, 1580, 1930, 1583, 1526, 1523, 1833, 1725, 1462,
    1883, 1682, 1794, 1995, 1892, 1874, 1349, 1818, 1730, 1604, 1170, 1890,
    1777, 1806, 1701, 1589, 1911, 1254, 1526, 1942, 1825, 1514, 1966, 1780,
    1864, 1671, 1817, 1677, 1443, 1855, 1569, 1922, 1934, 1712, 1931, 1765,
    1888, 1463, 1627, 1505, 1492, 1870, 1590, 1565, 1922, 1698, 1956, 1985,
    2006, 1635, 1931, 1899, 1600, 1973, 1268, 1823, 1710, 1867, 1916, 1804,
    1642, 1466, 1767, 1832, 1996, 1672, 1824, 1921, 1924, 1838, 1904, 1908,
    1861, 1960, 1998, 1728, 1760, 1394, 1993, 1546, 1974, 1525, 1847, 1202,
    1613, 1453, 1602, 1826, 1875, 1594, 1596, 1753, 1970, 1478, 2055, 1853,
    1713, 1474, 1797, 1682, 1943, 1745, 1830, 1814, 1897, 1621, 1817, 1802,
    1617, 1649, 1978, 1500, 1483, 1804, 2040, 1983, 1775, 1893, 1636, 1896,
    1774, 1784, 1903, 1782, 1783, 1852, 1894, 1770, 1924, 2020, 1926, 1929,
    1714, 2009, 1989, 1865, 1898, 1737, 1945, 1847, 1696, 1767, 1907, 1715,
    1849, 1967, 1694, 1747, 1337, 1608, 1363, 1676, 1734, 1859, 1755, 1470,
    1584, 1957, 1919, 1528, 1788, 1900, 1741, 1508, 1971, 1749, 1937, 1970,
    1941, 1794, 1693, 1721, 1991, 1915, 1997, 1824, 1942, 1996, 1236, 1669,
    1887, 1654, 1982, 1898, 1761, 1883, 1700, 1521, 1681, 2011, 1751, 1281,
    1684, 1607, 1845, 1860, 1524, 1844, 1901, 1999, 1760, 1940, 1705, 1736,
    1987, 1721, 2033, 2024, 1990, 2047, 1965, 2018, 2044, 1473, 1920, 2030,
    1968, 2045, 2025, 1995, 2054, 2017, 1559, 1876, 1891, 1871, 2013, 1949,
    1821, 1892, 1834, 1946, 1778, 1880, 1864, 2042, 2016, 2026, 1945, 2031,
    1574, 1853, 1980, 2034, 2056, 2012, 1912, 1812, 2031, 1836, 1992, 2058,
    1941, 1814, 2007, 2051, 2048, 2044, 1880, 1926, 2047, 1761, 1839, 1365,
    1772, 1986, 1985, 1905, 2060, 1909, 1857, 1944, 1826, 2000, 2050, 2023,
    2020, 1931, 2023, 2043, 2005, 1967, 1872, 1907, 1944, 1981, 1965, 1999,
    1711, 1916, 1517, 1958, 1954, 2023, 1961, 2064, 1798, 1577, 1930, 1896,
    1859, 1382, 1987, 2039, 2037, 1787, 1666, 1984, 1602, 1933, 2008, 2057,
    1338, 1976, 2038, 1971, 1950, 1954, 1991, 1828, 1695, 1845, 1873, 1889,
    2037, 1641, 1961, 1731, 1884, 1881, 1914, 1978, 1783, 1925, 1882, 2010,
    2062, 1846, 1921, 2029, 2046, 1910, 2026, 1953, 1607, 2063, 2059, 2000,
    1884, 2008, 2014, 2052, 2015, 1848, 1716, 2003, 2036, 2006, 1932, 1973,
    1976, 1522, 2028, 2059, 1917, 1947, 2027, 1954, 1964, 2059, 2035, 1999,
    1910, 1893, 1877, 1933, 1934, 2019, 1858, 1990, 2037, 1876, 1903, 1792,
    1966, 2025, 1509, 1853, 1908, 1837, 2044, 1914, 1938, 1913, 2004, 1824,
    2047, 1856, 1938, 2032, 2022, 1870, 1912, 1779, 2039, 2049, 1761, 1983,
    1950, 2054, 2002, 1959, 1848, 1919, 1790, 1993, 1967, 1900, 1718, 1897,
    2019, 2051, 2053, 1838, 1930, 1918, 2015, 2036, 1904, 1962, 1890, 1852,
    1845, 2009, 2050, 2004, 2032, 1883, 2057, 2028, 2040, 2056, 1851, 1737,
    1939, 1872, 1939, 1975, 1988, 1676, 1919, 1994, 2019, 1984, 1885, 2005,
    1812, 2008, 2040, 1957, 2028, 1842, 2032, 2039, 2062, 1828, 1992, 1746,
    1841, 1980, 1940, 1994, 1416, 1937, 1866, 1996, 1866, 1929, 2013, 1815,
    2064, 1959, 2012, 2022, 1735, 1727, 1950, 1981, 1991, 2043, 1929, 1920,
    1578, 1859, 1960, 1949, 1852, 1955, 1966, 2018, 2063, 1656, 2055, 2041,
    1969, 2046, 1905, 2017, 1726, 1943, 1717, 2009, 1802, 2062, 1750, 1675,
    1990, 1963, 1795, 2061, 1998, 2042, 1770, 2049, 1862, 1668, 2056, 2000,
    1987, 2002, 1797, 1882, 1963, 1512, 1708, 1949, 1901, 1935, 1997, 1971,
    2017, 2054, 1920, 1691, 1585, 2001, 2005, 1963, 2015, 1933, 2026, 1909,
    1913, 1704, 1798, 1962, 1610, 2024, 1969, 1810, 1994, 1703, 2055, 2021,
    2030, 2024, 1986, 1906, 1825, 2002, 1770, 1855, 1837, 2014, 2010, 1849,
    1697, 1661, 1863, 1935, 2052, 1957, 2058, 1937, 2061, 2035, 2045, 1984,
    1888, 1965, 2058, 1854, 2007, 1842, 2060, 1888, 1989, 1599, 2014, 1638,
    2027, 1731, 2012, 1891, 1936, 1614, 1618, 1806, 2030, 1586, 2057, 1968,
    1974, 1477, 1959, 1840, 1973, 1970, 1955, 1951, 1998, 1985, 1892, 1818,
    1874, 1961, 2046, 1989, 1960, 2041, 2049, 2001, 1948, 2048, 1983, 1944,
    1790, 2042, 2051, 1992, 1923, 2041, 1952, 1972, 1945, 2029, 1948, 1974,
    1943, 2038, 2050, 1942, 1968, 1805, 1977, 2004, 1752, 1787, 1915, 1732,
    2063, 2021, 1766, 1946, 1618, 1858, 2025, 1857, 1773, 1895, 1833, 1887,
    1744, 1979, 2010, 1850, 2061, 2016, 1780, 1586, 2027, 1969, 2034, 1979,
    2018, 1813, 1839, 1902, 2013, 2011, 2052, 1851, 2029, 2064, 1386, 1750,
    1902, 1771, 2034, 2001, 1795, 2053, 1792, 1631, 1964, 2053, 1796, 1409,
    1774, 1721, 1889, 1879, 1728, 2020, 2043, 2060, 1895, 2022, 1861, 1786};

uint16_t H_cols[] = {
    208, 242, 84,  114, 314, 135, 349, 90,  64,  57,  26,  52,  16,  142, 120,
    244, 167, 164, 133, 179, 22,  180, 413, 161, 224, 121, 57,  22,  394, 17,
    9,   54,  84,  20,  98,  311, 322, 308, 86,  91,  77,  41,  110, 192, 18,
    11,  210, 133, 248, 276, 389, 100, 37,  4,   239, 15,  32,  15,  7,   10,
    109, 82,  19,  50,  137, 278, 43,  181, 89,  206, 113, 285, 10,  95,  12,
    180, 23,  93,  100, 124, 200, 130, 81,  149, 6,   251, 181, 227, 156, 215,
    194, 284, 206, 177, 171, 174, 40,  136, 187, 89,  98,  156, 44,  30,  48,
    78,  349, 126, 56,  3,   212, 43,  111, 183, 63,  54,  35,  63,  333, 158,
    96,  100, 270, 38,  97,  4,   139, 163, 67,  251, 139, 42,  214, 117, 26,
    98,  132, 105, 13,  61,  330, 223, 183, 95,  295, 95,  55,  29,  65,  35,
    75,  130, 8,   98,  344, 46,  239, 155, 131, 75,  246, 3,   44,  260, 199,
    21,  99,  118, 76,  8,   87,  271, 257, 171, 98,  44,  255, 17,  276, 91,
    50,  21,  90,  262, 118, 208, 214, 35,  140, 159, 58,  277, 158, 180, 53,
    93,  58,  264, 40,  98,  4,   284, 183, 24,  7,   123, 133, 57,  223, 124,
    156, 202, 34,  324, 67,  452, 63,  123, 303, 303, 169, 40,  32,  24,  32,
    5,   220, 218, 103, 222, 113, 111, 100, 30,  146, 266, 4,   195, 14,  55,
    145, 37,  40,  18,  184, 188, 267, 38,  116, 35,  60,  53,  133, 58,  9,
    296, 63,  57,  30,  17,  86,  157, 105, 29,  73,  285, 122, 9,   31,  199,
    347, 73,  55,  135, 86,  2,   42,  67,  119, 21,  351, 35,  213, 173, 61,
    176, 194, 109, 72,  77,  273, 133, 244, 90,  313, 220, 27,  192, 63,  299,
    208, 202, 3,   66,  14,  19,  127, 68,  348, 246, 26,  87,  75,  20,  215,
    93,  212, 180, 149, 114, 133, 48,  235, 17,  247, 257, 42,  149, 57,  363,
    75,  334, 67,  97,  29,  109, 241, 59,  332, 15,  228, 6,   186, 81,  271,
    31,  103, 122, 150, 105, 110, 92,  277, 213, 358, 37,  100, 129, 46,  367,
    118, 26,  115, 211, 3,   77,  217, 23,  24,  145, 70,  48,  68,  179, 112,
    30,  110, 177, 14,  97,  68,  66,  103, 105, 83,  231, 29,  383, 45,  64,
    42,  32,  201, 269, 67,  9,   149, 3,   34,  86,  373, 51,  409, 130, 39,
    80,  177, 118, 34,  248, 175, 50,  37,  76,  14,  7,   122, 49,  262, 27,
    79,  102, 295, 113, 26,  111, 135, 10,  356, 97,  21,  2,   129, 451, 140,
    60,  42,  191, 33,  152, 25,  279, 99,  22,  124, 168, 305, 34,  104, 224,
    154, 50,  71,  97,  60,  209, 73,  57,  10,  322, 159, 375, 104, 17,  273,
    374, 81,  121, 160, 157, 411, 88,  236, 166, 88,  53,  164, 135, 36,  375,
    291, 211, 4,   233, 84,  94,  47,  29,  10,  306, 54,  183, 16,  128, 42,
    86,  96,  488, 31,  109, 150, 42,  332, 110, 315, 44,  321, 82,  109, 235,
    80,  212, 35,  128, 80,  215, 7,   115, 44,  102, 281, 86,  27,  79,  280,
    33,  227, 142, 113, 104, 102, 281, 161, 238, 197, 106, 111, 72,  163, 76,
    41,  58,  4,   46,  45,  122, 281, 219, 52,  53,  45,  66,  264, 69,  37,
    16,  138, 221, 176, 176, 98,  42,  75,  92,  80,  158, 163, 71,  26,  49,
    109, 108, 70,  85,  378, 186, 178, 9,   12,  4,   74,  25,  65,  207, 8,
    339, 5,   45,  205, 163, 234, 14,  56,  77,  62,  185, 55,  89,  19,  228,
    117, 113, 80,  9,   8,   38,  74,  10,  112, 32,  205, 8,   242, 142, 119,
    26,  158, 28,  148, 54,  69,  28,  81,  91,  142, 78,  158, 49,  66,  45,
    179, 249, 91,  90,  219, 153, 339, 90,  14,  56,  60,  392, 9,   162, 274,
    102, 79,  89,  206, 114, 365, 2,   232, 172, 36,  8,   14,  317, 173, 65,
    2,   37,  112, 273, 38,  179, 107, 244, 9,   173, 67,  141, 265, 156, 96,
    102, 158, 77,  96,  331, 2,   102, 302, 94,  23,  93,  92,  408, 95,  229,
    2,   25,  326, 62,  82,  166, 185, 7,   170, 15,  30,  216, 93,  94,  186,
    24,  124, 268, 36,  108, 156, 448, 65,  134, 356, 79,  91,  165, 63,  30,
    123, 56,  164, 97,  348, 262, 72,  294, 3,   33,  36,  143, 79,  31,  158,
    124, 46,  131, 115, 103, 33,  280, 22,  69,  80,  343, 386, 295, 107, 39,
    122, 18,  215, 78,  166, 136, 163, 222, 5,   405, 196, 253, 401, 78,  138,
    184, 190, 131, 5,   141, 91,  84,  10,  210, 184, 171, 39,  20,  283, 92,
    337, 257, 172, 160, 28,  134, 170, 18,  110, 108, 85,  21,  62,  122, 23,
    10,  128, 161, 152, 156, 65,  249, 124, 191, 282, 139, 220, 238, 24,  60,
    66,  41,  196, 185, 68,  72,  51,  121, 12,  218, 13,  101, 89,  93,  298,
    293, 197, 201, 332, 36,  128, 160, 182, 42,  19,  53,  259, 116, 331, 131,
    84,  125, 43,  285, 79,  112, 66,  66,  288, 93,  93,  158, 87,  104, 134,
    131, 156, 58,  33,  6,   42,  16,  130, 182, 354, 141, 12,  65,  60,  1,
    169, 175, 82,  44,  82,  108, 17,  69,  28,  29,  80,  145, 25,  66,  88,
    14,  64,  290, 160, 46,  113, 1,   251, 55,  61,  185, 199, 153, 13,  237,
    150, 269, 5,   100, 126, 243, 312, 56,  219, 203, 156, 144, 164, 161, 87,
    236, 203, 10,  216, 13,  166, 239, 19,  141, 51,  284, 61,  11,  75,  205,
    31,  128, 49,  2,   33,  5,   135, 100, 194, 78,  154, 245, 51,  321, 121,
    160, 114, 74,  44,  113, 59,  259, 6,   49,  144, 6,   22,  214, 171, 98,
    181, 225, 368, 8,   274, 154, 262, 234, 21,  19,  352, 9,   165, 20,  90,
    85,  255, 367, 174, 29,  145, 43,  1,   3,   153, 10,  280, 77,  221, 12,
    11,  142, 370, 143, 116, 145, 223, 330, 36,  9,   157, 99,  271, 88,  291,
    49,  89,  47,  94,  394, 344, 305, 38,  30,  39,  6,   129, 1,   242, 268,
    200, 298, 182, 297, 175, 27,  117, 135, 108, 246, 60,  38,  225, 48,  12,
    124, 229, 55,  50,  311, 70,  133, 119, 151, 199, 73,  70,  98,  26,  76,
    99,  154, 112, 76,  236, 273, 22,  109, 206, 61,  34,  146, 292, 132, 254,
    42,  1,   121, 310, 33,  41,  49,  168, 226, 247, 459, 47,  211, 187, 41,
    58,  8,   388, 359, 129, 83,  129, 190, 55,  189, 48,  258, 60,  58,  13,
    205, 263, 232, 151, 96,  77,  31,  53,  64,  174, 197, 200, 25,  93,  191,
    139, 217, 5,   117, 51,  212, 72,  28,  2,   236, 114, 320, 35,  106, 74,
    28,  425, 282, 49,  132, 2,   82,  47,  143, 142, 100, 25,  79,  43,  24,
    23,  399, 92,  97,  290, 31,  69,  109, 165, 83,  41,  98,  84,  195, 319,
    347, 222, 37,  39,  104, 5,   196, 207, 47,  4,   223, 141, 32,  47,  81,
    96,  31,  68,  101, 145, 177, 85,  129, 271, 334, 224, 36,  117, 56,  70,
    410, 212, 87,  298, 361, 160, 164, 34,  19,  52,  66,  310, 4,   105, 40,
    180, 137, 263, 37,  73,  237, 29,  135, 20,  7,   336, 197, 68,  2,   131,
    28,  60,  88,  94,  58,  83,  38,  218, 7,   1,   71,  296, 149, 355, 146,
    179, 64,  2,   418, 155, 127, 76,  348, 54,  83,  251, 48,  27,  185, 32,
    84,  4,   89,  107, 360, 257, 29,  54,  318, 56,  95,  295, 51,  45,  47,
    24,  256, 173, 92,  154, 63,  255, 321, 132, 76,  116, 92,  308, 20,  52,
    178, 292, 87,  216, 275, 16,  152, 151, 165, 226, 276, 36,  1,   333, 30,
    428, 17,  136, 11,  192, 45,  40,  34,  268, 68,  292, 54,  85,  120, 116,
    206, 92,  99,  213, 91,  15,  14,  43,  112, 305, 319, 157, 136, 76,  25,
    141, 95,  82,  11,  32,  41,  74,  49,  301, 122, 128, 338, 94,  129, 265,
    71,  11,  109, 22,  328, 13,  105, 22,  196, 240, 198, 7,   146, 181, 115,
    62,  61,  218, 64,  170, 222, 15,  99,  36,  31,  258, 69,  41,  56,  60,
    129, 33,  103, 57,  21,  103, 127, 165, 13,  39,  328, 105, 228, 107, 120,
    86,  98,  27,  54,  205, 167, 244, 74,  238, 38,  89,  5,   120, 329, 37,
    37,  278, 24,  140, 118, 127, 203, 23,  106, 286, 243, 72,  152, 86,  61,
    22,  11,  6,   34,  256, 269, 158, 175, 211, 317, 253, 50,  50,  27,  130,
    454, 41,  250, 267, 144, 303, 11,  104, 63,  18,  124, 104, 58,  140, 25,
    151, 58,  239, 286, 155, 217, 27,  182, 10,  398, 65,  190, 81,  69,  119,
    78,  20,  136, 106, 51,  188, 200, 350, 303, 133, 53,  73,  15,  158, 262,
    150, 192, 10,  289, 162, 362, 234, 232, 16,  225, 334, 294, 6,   105, 125,
    68,  72,  176, 239, 20,  163, 353, 118, 117, 170, 90,  258, 50,  45,  88,
    87,  128, 85,  4,   62,  34,  268, 258, 183, 25,  146, 85,  44,  133, 107,
    140, 87,  64,  18,  70,  76,  95,  309, 147, 34,  308, 19,  237, 21,  217,
    115, 49,  177, 201, 88,  149, 163, 5,   325, 455, 96,  52,  77,  24,  152,
    130, 207, 67,  220, 36,  18,  48,  88,  40,  148, 179, 6,   155, 19,  138,
    74,  39,  51,  198, 141, 142, 106, 103, 67,  111, 107, 186, 68,  37,  166,
    28,  94,  289, 15,  126, 121, 43,  108, 117, 128, 406, 71,  333, 39,  38,
    69,  313, 267, 17,  249, 40,  351, 40,  202, 138, 262, 105, 324, 75,  267,
    123, 141, 156, 78,  112, 408, 97,  173, 91,  99,  239, 25,  376, 25,  254,
    185, 157, 15,  61,  71,  113, 237, 237, 48,  29,  89,  1,   79,  41,  3,
    24,  13,  187, 96,  52,  30,  137, 70,  82,  1,   47,  34,  444, 146, 63,
    47,  59,  154, 115, 129, 298, 61,  3,   64,  85,  75,  244, 12,  47,  101,
    103, 7,   169, 125, 213, 271, 378, 271, 100, 126, 134, 131, 31,  32,  16,
    310, 222, 95,  12,  154, 89,  391, 205, 8,   27,  1,   85,  192, 85,  117,
    140, 127, 132, 35,  31,  12,  263, 121, 6,   81,  65,  71,  78,  88,  140,
    85,  227, 347, 68,  50,  7,   44,  215, 128, 26,  2,   96,  55,  66,  54,
    22,  161, 258, 7,   13,  124, 101, 265, 21,  83,  233, 203, 274, 59,  354,
    99,  59,  139, 13,  377, 107, 102, 23,  184, 32,  115, 61,  169, 320, 27,
    171, 293, 57,  62,  46,  58,  147, 139, 235, 52,  46,  375, 46,  218, 319,
    368, 61,  29,  174, 172, 83,  325, 29,  200, 198, 18,  303, 114, 173, 213,
    35,  102, 20,  35,  211, 46,  180, 99,  301, 250, 208, 178, 93,  30,  76,
    52,  165, 159, 372, 225, 278, 138, 136, 145, 231, 79,  44,  137, 50,  55,
    119, 125, 39,  138, 101, 25,  166, 23,  192, 18,  39,  178, 116, 28,  178,
    59,  188, 198, 16,  96,  46,  186, 108, 59,  255, 199, 258, 252, 88,  118,
    134, 383, 150, 5,   139, 239, 228, 38,  227, 263, 43,  67,  175, 97,  188,
    63,  147, 189, 17,  154, 62,  370, 219, 1,   198, 22,  56,  90,  318, 15,
    20,  171, 45,  100, 30,  126, 131, 234, 11,  207, 254, 299, 349, 120, 196,
    21,  26,  170, 114, 77,  8,   57,  190, 11,  214, 212, 345, 179, 225, 64,
    114, 80,  185, 66,  138, 149, 43,  190, 127, 3,   3,   153, 222, 210, 11,
    56,  104, 53,  153, 130, 56,  83,  71,  274, 95,  74,  121, 106, 173, 16,
    114, 270, 33,  53,  267, 49,  332, 306, 68,  35,  28,  32,  213, 24,  113,
    40,  18,  9,   89,  294, 250, 256, 70,  208, 291, 91,  82,  314, 39,  7,
    181, 78,  13,  301, 405, 112, 316, 156, 393, 12,  110, 48,  73,  166, 39,
    17,  132, 204, 104, 63,  62,  1,   45,  393, 5,   115, 47,  18,  248, 16,
    272, 75,  317, 84,  70,  342, 207, 14,  191, 77,  154, 12,  107, 230, 132,
    280, 42,  23,  147, 149, 17,  18,  8,   174, 73,  261, 197, 72,  4,   15,
    34,  163, 159, 136, 12,  36,  196, 3,   40,  167, 71,  101, 111, 100, 237,
    300, 32,  76,  9,   14,  137, 6,   53,  202, 71,  52,  148, 219, 17,  299,
    41,  108, 48,  143, 65,  316, 133, 142, 92,  296, 323, 150, 211, 361, 261,
    422, 167, 212, 195, 50,  317, 406, 372, 360, 314, 399, 203, 136, 211, 56,
    195, 436, 229, 489, 295, 101, 109, 487, 184, 87,  279, 233, 399, 176, 470,
    433, 364, 197, 115, 194, 314, 423, 246, 98,  401, 291, 268, 272, 357, 458,
    298, 327, 21,  298, 299, 225, 220, 272, 51,  177, 93,  84,  403, 150, 336,
    275, 236, 476, 243, 261, 373, 330, 248, 310, 365, 155, 240, 144, 276, 229,
    292, 99,  175, 101, 317, 365, 297, 404, 260, 333, 417, 462, 434, 474, 444,
    119, 309, 261, 260, 344, 435, 80,  123, 257, 183, 358, 197, 78,  16,  264,
    260, 459, 195, 390, 147, 217, 467, 353, 165, 120, 151, 335, 83,  106, 28,
    326, 252, 70,  298, 182, 153, 300, 260, 122, 111, 143, 302, 135, 235, 362,
    236, 232, 287, 371, 309, 248, 248, 176, 215, 169, 183, 155, 140, 446, 91,
    277, 263, 234, 126, 376, 335, 162, 490, 398, 182, 105, 378, 469, 159, 119,
    457, 292, 249, 108, 59,  451, 20,  362, 228, 57,  306, 459, 301, 208, 329,
    357, 82,  396, 279, 137, 396, 272, 202, 396, 282, 120, 308, 389, 287, 43,
    311, 371, 59,  326, 125, 223, 190, 285, 134, 348, 219, 74,  343, 72,  455,
    367, 179, 368, 395, 267, 227, 59,  225, 65,  21,  300, 310, 266, 259, 362,
    168, 104, 69,  344, 417, 47,  335, 103, 126, 394, 41,  122, 166, 313, 265,
    438, 118, 265, 204, 316, 439, 142, 90,  180, 440, 281, 392, 312, 210, 137,
    189, 240, 247, 240, 320, 251, 157, 324, 208, 415, 245, 180, 262, 94,  141,
    191, 110, 165, 165, 361, 61,  488, 378, 138, 178, 229, 396, 157, 168, 397,
    266, 289, 240, 347, 299, 84,  451, 133, 391, 469, 324, 137, 116, 60,  365,
    207, 200, 472, 450, 428, 330, 139, 159, 223, 217, 330, 245, 234, 238, 418,
    391, 367, 308, 291, 304, 67,  244, 288, 382, 130, 461, 335, 118, 187, 334,
    324, 441, 462, 112, 445, 59,  214, 230, 372, 44,  106, 167, 181, 211, 193,
    148, 409, 264, 364, 353, 174, 263, 283, 406, 312, 349, 118, 455, 181, 259,
    323, 175, 33,  152, 299, 141, 320, 314, 131, 62,  235, 335, 231, 340, 244,
    425, 169, 311, 497, 241, 37,  436, 117, 184, 294, 157, 350, 301, 94,  162,
    273, 13,  182, 101, 486, 341, 434, 322, 74,  144, 284, 139, 111, 403, 214,
    52,  323, 327, 172, 227, 230, 208, 277, 221, 120, 409, 339, 123, 223, 252,
    209, 237, 429, 295, 253, 35,  162, 454, 243, 199, 295, 385, 360, 241, 170,
    390, 175, 402, 198, 288, 397, 275, 330, 267, 161, 341, 283, 193, 62,  258,
    162, 254, 259, 374, 408, 415, 268, 54,  312, 424, 302, 342, 376, 172, 453,
    214, 281, 379, 447, 170, 434, 230, 121, 423, 305, 441, 276, 244, 121, 110,
    461, 323, 151, 309, 431, 202, 200, 329, 210, 352, 164, 503, 113, 126, 231,
    152, 454, 311, 433, 86,  449, 130, 231, 262, 189, 290, 288, 429, 143, 311,
    70,  226, 451, 277, 362, 134, 51,  81,  343, 171, 466, 149, 194, 310, 119,
    315, 186, 300, 469, 349, 427, 123, 168, 117, 174, 144, 224, 116, 173, 198,
    457, 287, 147, 65,  258, 272, 499, 315, 81,  186, 168, 341, 316, 190, 178,
    291, 232, 280, 174, 260, 242, 226, 181, 120, 113, 138, 294, 106, 481, 287,
    377, 104, 125, 383, 234, 369, 289, 348, 52,  389, 239, 219, 344, 378, 338,
    418, 137, 363, 116, 207, 335, 449, 202, 358, 216, 134, 319, 100, 11,  265,
    233, 172, 267, 45,  256, 23,  318, 221, 169, 245, 306, 281, 181, 289, 116,
    173, 346, 327, 194, 205, 326, 345, 201, 111, 448, 366, 399, 293, 222, 170,
    358, 442, 19,  187, 159, 456, 299, 206, 290, 169, 253, 412, 252, 202, 377,
    331, 497, 203, 313, 115, 255, 373, 364, 237, 245, 291, 269, 342, 54,  218,
    269, 373, 170, 256, 270, 213, 305, 288, 203, 315, 238, 87,  192, 334, 26,
    127, 352, 240, 277, 114, 102, 432, 139, 332, 278, 128, 411, 91,  317, 296,
    265, 343, 291, 217, 124, 350, 220, 242, 220, 62,  233, 300, 190, 393, 445,
    513, 478, 346, 375, 131, 99,  272, 160, 355, 279, 112, 305, 107, 403, 336,
    109, 322, 143, 371, 147, 204, 192, 308, 180, 279, 127, 194, 145, 239, 124,
    288, 24,  177, 191, 433, 429, 308, 270, 136, 330, 73,  469, 302, 274, 221,
    246, 393, 328, 431, 454, 391, 426, 269, 434, 329, 245, 149, 151, 338, 328,
    299, 433, 374, 230, 202, 472, 177, 360, 402, 387, 316, 181, 418, 52,  198,
    174, 20,  197, 110, 294, 268, 123, 151, 43,  87,  250, 237, 247, 233, 143,
    367, 231, 339, 381, 141, 233, 355, 204, 225, 382, 208, 224, 206, 159, 87,
    80,  275, 103, 365, 33,  374, 117, 145, 332, 368, 309, 297, 421, 63,  212,
    213, 373, 107, 249, 247, 318, 242, 464, 312, 164, 240, 103, 328, 345, 262,
    160, 209, 401, 325, 249, 186, 201, 112, 250, 262, 215, 70,  473, 170, 126,
    143, 211, 313, 370, 183, 220, 174, 388, 346, 351, 182, 173, 48,  214, 370,
    163, 92,  95,  228, 134, 461, 251, 398, 205, 282, 372, 363, 348, 83,  321,
    175, 265, 160, 252, 479, 340, 257, 64,  285, 419, 369, 23,  196, 283, 286,
    327, 97,  411, 331, 184, 297, 325, 284, 341, 245, 302, 294, 231, 247, 319,
    404, 190, 180, 491, 441, 147, 303, 148, 291, 350, 471, 197, 396, 187, 92,
    201, 269, 200, 264, 250, 338, 104, 470, 379, 248, 168, 271, 113, 146, 205,
    267, 71,  296, 221, 385, 153, 347, 482, 252, 339, 453, 390, 289, 284, 229,
    269, 263, 167, 27,  369, 80,  243, 432, 230, 153, 280, 397, 239, 380, 208,
    244, 8,   72,  271, 354, 328, 233, 224, 297, 297, 204, 461, 190, 259, 151,
    306, 375, 195, 189, 304, 155, 279, 232, 352, 123, 177, 339, 401, 493, 384,
    376, 340, 38,  171, 79,  161, 78,  340, 293, 238, 465, 191, 435, 179, 244,
    387, 184, 211, 307, 352, 342, 316, 196, 351, 353, 445, 69,  97,  368, 180,
    274, 136, 275, 342, 189, 75,  395, 145, 147, 205, 185, 222, 218, 413, 297,
    374, 144, 453, 372, 138, 302, 316, 237, 356, 46,  40,  339, 343, 184, 242,
    125, 216, 345, 305, 477, 148, 214, 199, 303, 306, 123, 440, 404, 292, 210,
    328, 350, 210, 337, 94,  309, 408, 151, 76,  276, 266, 325, 482, 155, 332,
    254, 209, 321, 297, 243, 355, 259, 164, 221, 453, 361, 15,  338, 357, 289,
    240, 149, 249, 263, 219, 447, 434, 261, 300, 159, 479, 342, 93,  213, 57,
    141, 177, 335, 410, 315, 188, 166, 223, 307, 354, 492, 170, 187, 453, 195,
    127, 349, 410, 151, 207, 130, 147, 216, 417, 439, 369, 83,  461, 326, 406,
    381, 227, 126, 270, 258, 394, 108, 331, 228, 333, 72,  95,  209, 319, 351,
    346, 379, 284, 392, 315, 191, 147, 463, 95,  486, 415, 167, 324, 377, 390,
    375, 410, 92,  354, 106, 364, 106, 370, 132, 193, 396, 321, 134, 119, 393,
    327, 195, 506, 30,  341, 253, 233, 82,  283, 55,  207, 301, 430, 167, 248,
    163, 475, 77,  218, 124, 367, 176, 415, 426, 188, 380, 58,  488, 209, 170,
    164, 354, 134, 212, 334, 255, 220, 349, 110, 288, 227, 350, 201, 406, 319,
    442, 117, 330, 228, 148, 424, 267, 155, 452, 161, 345, 217, 474, 179, 208,
    328, 367, 254, 173, 210, 259, 458, 296, 277, 206, 296, 162, 480, 430, 183,
    202, 268, 263, 274, 312, 374, 96,  445, 66,  463, 321, 250, 204, 194, 129,
    78,  342, 485, 289, 387, 67,  119, 256, 241, 341, 110, 215, 276, 226, 186,
    276, 266, 198, 331, 455, 167, 232, 89,  355, 166, 336, 147, 397, 167, 260,
    175, 282, 465, 265, 178, 453, 189, 132, 273, 202, 132, 209, 62,  400, 397,
    114, 225, 299, 288, 259, 228, 149, 319, 160, 327, 406, 411, 217, 374, 286,
    229, 236, 129, 232, 403, 266, 432, 189, 115, 338, 120, 342, 197, 248, 310,
    269, 298, 79,  156, 453, 325, 468, 116, 246, 210, 438, 43,  256, 378, 294,
    398, 84,  366, 122, 311, 174, 346, 377, 320, 111, 309, 243, 162, 329, 165,
    307, 229, 266, 305, 267, 94,  230, 454, 131, 72,  50,  209, 199, 283, 329,
    178, 400, 236, 388, 423, 127, 190, 287, 175, 477, 274, 314, 465, 389, 410,
    350, 131, 263, 108, 201, 127, 130, 468, 59,  223, 148, 341, 336, 414, 235,
    36,  288, 171, 405, 111, 395, 271, 122, 154, 150, 164, 403, 460, 374, 213,
    208, 464, 310, 143, 356, 204, 81,  273, 314, 287, 380, 16,  410, 313, 385,
    410, 406, 23,  240, 370, 373, 416, 355, 204, 176, 187, 329, 357, 292, 282,
    384, 212, 273, 202, 262, 385, 198, 191, 402, 230, 266, 179, 389, 210, 165,
    375, 261, 287, 302, 471, 250, 144, 284, 279, 277, 382, 118, 65,  126, 235,
    158, 354, 150, 53,  331, 68,  280, 51,  219, 432, 90,  236, 213, 137, 289,
    256, 366, 469, 484, 125, 289, 454, 49,  155, 392, 221, 181, 238, 137, 85,
    222, 105, 228, 351, 380, 22,  379, 322, 409, 215, 234, 174, 275, 356, 182,
    212, 272, 203, 194, 426, 215, 279, 234, 279, 388, 164, 318, 219, 205, 152,
    74,  304, 242, 136, 440, 304, 466, 238, 347, 201, 373, 275, 325, 364, 362,
    393, 103, 394, 365, 359, 338, 332, 322, 369, 270, 216, 363, 135, 353, 460,
    157, 282, 402, 414, 393, 196, 403, 178, 294, 276, 193, 282, 217, 86,  234,
    351, 433, 337, 64,  236, 184, 423, 64,  362, 241, 210, 247, 483, 298, 122,
    191, 243, 245, 46,  458, 278, 447, 311, 326, 360, 71,  224, 354, 148, 360,
    74,  6,   215, 290, 374, 313, 200, 185, 116, 133, 28,  224, 467, 357, 291,
    473, 379, 388, 188, 246, 340, 67,  240, 144, 475, 314, 193, 179, 215, 150,
    423, 360, 192, 102, 159, 127, 204, 154, 168, 423, 373, 172, 48,  140, 327,
    292, 358, 221, 426, 154, 101, 331, 337, 235, 102, 251, 409, 238, 283, 151,
    307, 278, 357, 247, 484, 229, 152, 69,  311, 241, 225, 388, 230, 140, 146,
    370, 429, 26,  134, 466, 240, 372, 197, 389, 145, 136, 176, 187, 400, 264,
    221, 366, 446, 311, 364, 186, 404, 363, 101, 243, 400, 120, 146, 389, 203,
    190, 278, 300, 260, 196, 430, 106, 260, 367, 436, 222, 359, 433, 417, 184,
    371, 301, 275, 336, 111, 428, 129, 304, 303, 73,  224, 449, 175, 255, 446,
    326, 123, 315, 315, 223, 327, 161, 194, 97,  201, 309, 383, 407, 302, 326,
    209, 324, 198, 356, 107, 88,  189, 276, 247, 144, 339, 320, 221, 169, 140,
    226, 118, 379, 333, 69,  300, 262, 218, 265, 257, 251, 310, 27,  265, 227,
    369, 220, 146, 412, 265, 272, 286, 286, 229, 283, 395, 209, 372, 290, 488,
    293, 184, 360, 342, 194, 132, 313, 290, 448, 385, 162, 232, 31,  270, 271,
    383, 318, 242, 251, 157, 79,  119, 421, 401, 178, 231, 152, 207, 55,  163,
    274, 313, 125, 251, 256, 468, 385, 329, 227, 272, 317, 196, 427, 466, 96,
    216, 449, 14,  441, 333, 484, 363, 383, 303, 155, 172, 188, 348, 169, 256,
    199, 193, 188, 455, 86,  161, 235, 247, 288, 135, 344, 427, 381, 148, 261,
    128, 193, 287, 221, 347, 155, 172, 204, 334, 255, 380, 189, 241, 277, 226,
    448, 413, 81,  441, 223, 162, 429, 292, 205, 146, 439, 110, 114, 304, 261,
    378, 88,  278, 386, 123, 226, 329, 165, 83,  295, 213, 408, 355, 414, 336,
    440, 366, 409, 142, 153, 168, 128, 470, 266, 82,  280, 428, 250, 360, 238,
    99,  53,  424, 176, 285, 263, 212, 268, 316, 377, 335, 387, 168, 144, 428,
    326, 132, 232, 252, 300, 51,  146, 308, 371, 486, 279, 275, 370, 223, 33,
    304, 296, 217, 442, 360, 280, 75,  354, 182, 139, 397, 236, 442, 361, 45,
    233, 193, 479, 206, 153, 121, 299, 201, 255, 426, 318, 286, 54,  143, 302,
    57,  148, 320, 231, 218, 377, 498, 206, 359, 238, 235, 379, 160, 391, 381,
    261, 297, 277, 368, 362, 437, 409, 372, 270, 481, 300, 407, 253, 55,  488,
    487, 470, 429, 431, 402, 259, 404, 257, 101, 243, 463, 487, 514, 496, 150,
    358, 504, 234, 490, 511, 240, 415, 412, 484, 490, 416, 252, 472, 489, 478,
    493, 381, 139, 480, 511, 362, 293, 466, 503, 359, 342, 142, 326, 369, 304,
    320, 364, 486, 261, 105, 316, 471, 476, 430, 460, 379, 484, 253, 446, 400,
    447, 373, 472, 490, 272, 401, 158, 471, 328, 417, 312, 344, 331, 429, 383,
    341, 501, 361, 410, 480, 477, 492, 508, 482, 332, 336, 429, 310, 369, 460,
    291, 346, 365, 392, 402, 452, 120, 430, 301, 419, 462, 406, 410, 342, 493,
    500, 390, 498, 378, 230, 403, 188, 443, 258, 505, 499, 148, 508, 485, 241,
    382, 289, 264, 182, 455, 481, 264, 451, 489, 483, 485, 365, 376, 447, 301,
    382, 278, 237, 409, 285, 168, 292, 463, 290, 482, 339, 323, 376, 386, 495,
    286, 502, 450, 322, 115, 390, 483, 370, 426, 461, 441, 406, 162, 73,  506,
    256, 511, 507, 107, 498, 491, 323, 274, 478, 516, 337, 450, 304, 183, 502,
    285, 249, 420, 427, 349, 386, 508, 353, 413, 500, 375, 304, 485, 410, 484,
    306, 353, 431, 377, 239, 156, 438, 402, 499, 503, 200, 458, 419, 490, 230,
    203, 397, 73,  436, 398, 326, 293, 363, 416, 497, 458, 250, 443, 460, 60,
    476, 227, 392, 494, 352, 422, 383, 468, 344, 443, 199, 425, 417, 496, 452,
    472, 396, 246, 449, 458, 395, 398, 283, 253, 391, 307, 268, 337, 501, 269,
    499, 409, 408, 434, 365, 264, 407, 267, 150, 253, 254, 269, 185, 434, 306,
    508, 510, 287, 347, 318, 439, 235, 307, 503, 281, 303, 468, 366, 415, 434,
    480, 368, 497, 500, 504, 195, 188, 125, 502, 496, 475, 492, 481, 501, 407,
    309, 302, 372, 442, 357, 464, 436, 249, 429, 493, 412, 340, 385, 489, 172,
    353, 322, 477, 439, 509, 490, 311, 478, 364, 450, 448, 479, 372, 463, 495,
    312, 269, 425, 341, 501, 415, 193, 225, 481, 437, 433, 281, 509, 428, 278,
    509, 458, 506, 481, 509, 463, 504, 209, 415, 510, 347, 246, 388, 307, 237,
    472, 407, 318, 228, 441, 417, 467, 469, 457, 515, 324, 402, 510, 254, 112,
    470, 345, 463, 302, 378, 416, 312, 241, 381, 327, 94,  207, 335, 498, 343,
    476, 427, 444, 351, 414, 186, 178, 457, 459, 460, 333, 471, 334, 389, 398,
    327, 315, 504, 481, 437, 386, 431, 488, 442, 241, 356, 471, 402, 424, 433,
    287, 459, 298, 463, 322, 458, 386, 464, 232, 492, 285, 441, 227, 292, 405,
    377, 336, 466, 441, 513, 350, 276, 142, 492, 176, 404, 286, 437, 483, 474,
    446, 291, 323, 474, 463, 414, 496, 231, 493, 491, 464, 484, 448, 191, 441,
    258, 296, 497, 381, 484, 419, 318, 125, 222, 487, 516, 285, 502, 449, 294,
    211, 384, 358, 451, 414, 509, 135, 241, 444, 392, 474, 469, 444, 203, 500,
    282, 350, 286, 231, 478, 365, 465, 467, 472, 497, 484, 513, 513, 455, 242,
    502, 385, 504, 358, 479, 390, 407, 416, 266, 330, 206, 412, 471, 496, 498,
    380, 325, 159, 219, 504, 447, 340, 383, 416, 475, 373, 410, 486, 368, 501,
    511, 413, 91,  278, 257, 486, 369, 506, 214, 402, 430, 348, 476, 333, 331,
    441, 204, 187, 450, 194, 382, 224, 497, 411, 462, 252, 275, 457, 446, 415,
    502, 413, 121, 515, 485, 476, 353, 381, 488, 480, 385, 425, 314, 224, 383,
    506, 280, 515, 388, 422, 386, 396, 408, 329, 340, 371, 359, 138, 431, 200,
    361, 393, 189, 436, 411, 319, 316, 478, 293, 390, 422, 414, 445, 232, 503,
    397, 443, 296, 493, 374, 432, 430, 493, 206, 437, 477, 295, 352, 492, 509,
    375, 214, 314, 430, 283, 467, 491, 350, 421, 499, 499, 511, 367, 125, 379,
    482, 476, 505, 411, 446, 507, 390, 264, 290, 419, 460, 474, 414, 422, 317,
    327, 437, 422, 404, 320, 416, 242, 362, 429, 366, 399, 438, 293, 245, 448,
    461, 390, 415, 356, 482, 504, 284, 428, 378, 268, 400, 308, 468, 416, 393,
    394, 405, 355, 408, 438, 323, 424, 401, 483, 516, 493, 362, 424, 372, 234,
    515, 386, 382, 500, 314, 402, 425, 460, 456, 172, 501, 247, 495, 173, 492,
    226, 476, 439, 346, 293, 353, 317, 435, 152, 487, 119, 348, 424, 499, 494,
    495, 469, 251, 501, 401, 516, 308, 457, 280, 454, 440, 432, 470, 497, 399,
    451, 344, 487, 432, 439, 516, 278, 461, 462, 313, 475, 386, 233, 396, 475,
    439, 424, 495, 431, 434, 433, 436, 456, 403, 341, 423, 359, 296, 324, 309,
    480, 508, 435, 144, 478, 401, 358, 287, 484, 512, 443, 367, 459, 452, 445,
    468, 316, 271, 514, 388, 448, 474, 413, 307, 86,  293, 320, 433, 302, 394,
    222, 414, 344, 456, 356, 475, 468, 456, 426, 494, 428, 339, 288, 494, 448,
    270, 504, 507, 381, 405, 379, 498, 469, 489, 247, 354, 445, 500, 467, 217,
    277, 385, 318, 513, 218, 253, 483, 249, 325, 161, 351, 505, 475, 440, 229,
    412, 461, 371, 427, 377, 439, 338, 473, 500, 292, 167, 315, 230, 261, 464,
    294, 407, 226, 406, 488, 426, 432, 515, 511, 421, 489, 439, 282, 515, 483,
    325, 323, 462, 443, 491, 377, 384, 349, 491, 353, 226, 420, 495, 428, 409,
    473, 461, 357, 473, 371, 343, 360, 398, 500, 465, 401, 319, 513, 483, 216,
    405, 424, 473, 455, 516, 235, 476, 308, 248, 281, 482, 244, 481, 407, 345,
    309, 506, 417, 485, 363, 320, 192, 470, 231, 513, 246, 299, 447, 467, 163,
    510, 498, 337, 417, 491, 457, 422, 340, 422, 298, 273, 301, 447, 449, 356,
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    257, 471, 339, 380, 357, 437, 441, 191, 443, 268, 197, 444, 306, 363, 160,
    346, 345, 376, 401, 479, 195, 243, 514, 481, 489, 445, 432, 451, 460, 252,
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    344, 501, 386, 335, 458, 449, 478, 480, 477, 487, 413, 444, 244, 157, 451,
    423, 480, 297, 284, 495, 431, 384, 418, 363, 325, 245, 447, 313, 485, 436,
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    90,  362, 463, 347, 477, 257, 489, 405, 143, 259, 286, 495, 382, 224, 177,
    446, 260, 427, 438, 434, 511, 187, 383, 423, 193, 430, 427, 447, 435, 487,
    502, 338, 407, 323, 407, 387, 166, 512, 473, 310, 457, 490};

float input[] = {
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