{
 "schema_version": "0.1",
 "name": "[[630,48,90]]",
 "code_type": "CSS",
 "n": 630,
 "k": 48,
 "checks": {
  "X": [
   [
    12,
    17,
    18,
    26,
    33,
    71,
    110,
    126,
    174,
    180,
    192,
    198,
    214,
    221,
    268,
    283,
    285,
    296,
    299,
    349,
    357,
    445,
    502,
    541,
    547,
    563
   ],
   [
    13,
    18,
    19,
    27,
    34,
    72,
    111,
    127,
    175,
    181,
    193,
    199,
    215,
    222,
    269,
    284,
    286,
    297,
    300,
    350,
    358,
    446,
    503,
    542,
    548,
    564
   ],
   [
    14,
    19,
    20,
    28,
    35,
    73,
    112,
    128,
    176,
    182,
    194,
    200,
    216,
    223,
    270,
    285,
    287,
    298,
    301,
    351,
    359,
    447,
    504,
    543,
    549,
    565
   ],
   [
    15,
    20,
    21,
    29,
    36,
    74,
    113,
    129,
    177,
    183,
    195,
    201,
    217,
    224,
    271,
    286,
    288,
    299,
    302,
    352,
    360,
    448,
    505,
    544,
    550,
    566
   ],
   [
    16,
    21,
    22,
    30,
    37,
    75,
    114,
    130,
    178,
    184,
    196,
    202,
    218,
    225,
    272,
    287,
    289,
    300,
    303,
    353,
    361,
    449,
    506,
    545,
    551,
    567
   ],
   [
    17,
    22,
    23,
    31,
    38,
    76,
    115,
    131,
    179,
    185,
    197,
    203,
    219,
    226,
    273,
    288,
    290,
    301,
    304,
    354,
    362,
    450,
    507,
    546,
    552,
    568
   ],
   [
    18,
    23,
    24,
    32,
    39,
    77,
    116,
    132,
    180,
    186,
    198,
    204,
    220,
    227,
    274,
    289,
    291,
    302,
    305,
    355,
    363,
    451,
    508,
    547,
    553,
    569
   ],
   [
    19,
    24,
    25,
    33,
    40,
    78,
    117,
    133,
    181,
    187,
    199,
    205,
    221,
    228,
    275,
    290,
    292,
    303,
    306,
    356,
    364,
    452,
    509,
    548,
    554,
    570
   ],
   [
    20,
    25,
    26,
    34,
    41,
    79,
    118,
    134,
    182,
    188,
    200,
    206,
    222,
    229,
    276,
    291,
    293,
    304,
    307,
    357,
    365,
    453,
    510,
    549,
    555,
    571
   ],
   [
    21,
    26,
    27,
    35,
    42,
    80,
    119,
    135,
    183,
    189,
    201,
    207,
    223,
    230,
    277,
    292,
    294,
    305,
    308,
    358,
    366,
    454,
    511,
    550,
    556,
    572
   ],
   [
    22,
    27,
    28,
    36,
    43,
    81,
    120,
    136,
    184,
    190,
    202,
    208,
    224,
    231,
    278,
    293,
    295,
    306,
    309,
    359,
    367,
    455,
    512,
    551,
    557,
    573
   ],
   [
    23,
    28,
    29,
    37,
    44,
    82,
    121,
    137,
    185,
    191,
    203,
    209,
    225,
    232,
    279,
    294,
    296,
    307,
    310,
    360,
    368,
    456,
    513,
    552,
    558,
    574
   ],
   [
    24,
    29,
    30,
    38,
    45,
    83,
    122,
    138,
    186,
    192,
    204,
    210,
    226,
    233,
    280,
    295,
    297,
    308,
    311,
    361,
    369,
    457,
    514,
    553,
    559,
    575
   ],
   [
    25,
    30,
    31,
    39,
    46,
    84,
    123,
    139,
    187,
    193,
    205,
    211,
    227,
    234,
    281,
    296,
    298,
    309,
    312,
    362,
    370,
    458,
    515,
    554,
    560,
    576
   ],
   [
    26,
    31,
    32,
    40,
    47,
    85,
    124,
    140,
    188,
    194,
    206,
    212,
    228,
    235,
    282,
    297,
    299,
    310,
    313,
    363,
    371,
    459,
    516,
    555,
    561,
    577
   ],
   [
    27,
    32,
    33,
    41,
    48,
    86,
    125,
    141,
    189,
    195,
    207,
    213,
    229,
    236,
    283,
    298,
    300,
    311,
    314,
    364,
    372,
    460,
    517,
    556,
    562,
    578
   ],
   [
    0,
    28,
    33,
    34,
    42,
    49,
    87,
    126,
    142,
    190,
    196,
    208,
    214,
    230,
    237,
    284,
    299,
    301,
    312,
    365,
    373,
    461,
    518,
    557,
    563,
    579
   ],
   [
    1,
    29,
    34,
    35,
    43,
    50,
    88,
    127,
    143,
    191,
    197,
    209,
    215,
    231,
    238,
    285,
    300,
    302,
    313,
    366,
    374,
    462,
    519,
    558,
    564,
    580
   ],
   [
    2,
    30,
    35,
    36,
    44,
    51,
    89,
    128,
    144,
    192,
    198,
    210,
    216,
    232,
    239,
    286,
    301,
    303,
    314,
    367,
    375,
    463,
    520,
    559,
    565,
    581
   ],
   [
    0,
    3,
    31,
    36,
    37,
    45,
    52,
    90,
    129,
    145,
    193,
    199,
    211,
    217,
    233,
    240,
    287,
    302,
    304,
    368,
    376,
    464,
    521,
    560,
    566,
    582
   ],
   [
    1,
    4,
    32,
    37,
    38,
    46,
    53,
    91,
    130,
    146,
    194,
    200,
    212,
    218,
    234,
    241,
    288,
    303,
    305,
    369,
    377,
    465,
    522,
    561,
    567,
    583
   ],
   [
    2,
    5,
    33,
    38,
    39,
    47,
    54,
    92,
    131,
    147,
    195,
    201,
    213,
    219,
    235,
    242,
    289,
    304,
    306,
    370,
    378,
    466,
    523,
    562,
    568,
    584
   ],
   [
    3,
    6,
    34,
    39,
    40,
    48,
    55,
    93,
    132,
    148,
    196,
    202,
    214,
    220,
    236,
    243,
    290,
    305,
    307,
    371,
    379,
    467,
    524,
    563,
    569,
    585
   ],
   [
    4,
    7,
    35,
    40,
    41,
    49,
    56,
    94,
    133,
    149,
    197,
    203,
    215,
    221,
    237,
    244,
    291,
    306,
    308,
    372,
    380,
    468,
    525,
    564,
    570,
    586
   ],
   [
    5,
    8,
    36,
    41,
    42,
    50,
    57,
    95,
    134,
    150,
    198,
    204,
    216,
    222,
    238,
    245,
    292,
    307,
    309,
    373,
    381,
    469,
    526,
    565,
    571,
    587
   ],
   [
    6,
    9,
    37,
    42,
    43,
    51,
    58,
    96,
    135,
    151,
    199,
    205,
    217,
    223,
    239,
    246,
    293,
    308,
    310,
    374,
    382,
    470,
    527,
    566,
    572,
    588
   ],
   [
    7,
    10,
    38,
    43,
    44,
    52,
    59,
    97,
    136,
    152,
    200,
    206,
    218,
    224,
    240,
    247,
    294,
    309,
    311,
    375,
    383,
    471,
    528,
    567,
    573,
    589
   ],
   [
    8,
    11,
    39,
    44,
    45,
    53,
    60,
    98,
    137,
    153,
    201,
    207,
    219,
    225,
    241,
    248,
    295,
    310,
    312,
    376,
    384,
    472,
    529,
    568,
    574,
    590
   ],
   [
    9,
    12,
    40,
    45,
    46,
    54,
    61,
    99,
    138,
    154,
    202,
    208,
    220,
    226,
    242,
    249,
    296,
    311,
    313,
    377,
    385,
    473,
    530,
    569,
    575,
    591
   ],
   [
    10,
    13,
    41,
    46,
    47,
    55,
    62,
    100,
    139,
    155,
    203,
    209,
    221,
    227,
    243,
    250,
    297,
    312,
    314,
    378,
    386,
    474,
    531,
    570,
    576,
    592
   ],
   [
    0,
    11,
    14,
    42,
    47,
    48,
    56,
    63,
    101,
    140,
    156,
    204,
    210,
    222,
    228,
    244,
    251,
    298,
    313,
    379,
    387,
    475,
    532,
    571,
    577,
    593
   ],
   [
    1,
    12,
    15,
    43,
    48,
    49,
    57,
    64,
    102,
    141,
    157,
    205,
    211,
    223,
    229,
    245,
    252,
    299,
    314,
    380,
    388,
    476,
    533,
    572,
    578,
    594
   ],
   [
    0,
    2,
    13,
    16,
    44,
    49,
    50,
    58,
    65,
    103,
    142,
    158,
    206,
    212,
    224,
    230,
    246,
    253,
    300,
    381,
    389,
    477,
    534,
    573,
    579,
    595
   ],
   [
    1,
    3,
    14,
    17,
    45,
    50,
    51,
    59,
    66,
    104,
    143,
    159,
    207,
    213,
    225,
    231,
    247,
    254,
    301,
    382,
    390,
    478,
    535,
    574,
    580,
    596
   ],
   [
    2,
    4,
    15,
    18,
    46,
    51,
    52,
    60,
    67,
    105,
    144,
    160,
    208,
    214,
    226,
    232,
    248,
    255,
    302,
    383,
    391,
    479,
    536,
    575,
    581,
    597
   ],
   [
    3,
    5,
    16,
    19,
    47,
    52,
    53,
    61,
    68,
    106,
    145,
    161,
    209,
    215,
    227,
    233,
    249,
    256,
    303,
    384,
    392,
    480,
    537,
    576,
    582,
    598
   ],
   [
    4,
    6,
    17,
    20,
    48,
    53,
    54,
    62,
    69,
    107,
    146,
    162,
    210,
    216,
    228,
    234,
    250,
    257,
    304,
    385,
    393,
    481,
    538,
    577,
    583,
    599
   ],
   [
    5,
    7,
    18,
    21,
    49,
    54,
    55,
    63,
    70,
    108,
    147,
    163,
    211,
    217,
    229,
    235,
    251,
    258,
    305,
    386,
    394,
    482,
    539,
    578,
    584,
    600
   ],
   [
    6,
    8,
    19,
    22,
    50,
    55,
    56,
    64,
    71,
    109,
    148,
    164,
    212,
    218,
    230,
    236,
    252,
    259,
    306,
    387,
    395,
    483,
    540,
    579,
    585,
    601
   ],
   [
    7,
    9,
    20,
    23,
    51,
    56,
    57,
    65,
    72,
    110,
    149,
    165,
    213,
    219,
    231,
    237,
    253,
    260,
    307,
    388,
    396,
    484,
    541,
    580,
    586,
    602
   ],
   [
    8,
    10,
    21,
    24,
    52,
    57,
    58,
    66,
    73,
    111,
    150,
    166,
    214,
    220,
    232,
    238,
    254,
    261,
    308,
    389,
    397,
    485,
    542,
    581,
    587,
    603
   ],
   [
    9,
    11,
    22,
    25,
    53,
    58,
    59,
    67,
    74,
    112,
    151,
    167,
    215,
    221,
    233,
    239,
    255,
    262,
    309,
    390,
    398,
    486,
    543,
    582,
    588,
    604
   ],
   [
    10,
    12,
    23,
    26,
    54,
    59,
    60,
    68,
    75,
    113,
    152,
    168,
    216,
    222,
    234,
    240,
    256,
    263,
    310,
    391,
    399,
    487,
    544,
    583,
    589,
    605
   ],
   [
    11,
    13,
    24,
    27,
    55,
    60,
    61,
    69,
    76,
    114,
    153,
    169,
    217,
    223,
    235,
    241,
    257,
    264,
    311,
    392,
    400,
    488,
    545,
    584,
    590,
    606
   ],
   [
    12,
    14,
    25,
    28,
    56,
    61,
    62,
    70,
    77,
    115,
    154,
    170,
    218,
    224,
    236,
    242,
    258,
    265,
    312,
    393,
    401,
    489,
    546,
    585,
    591,
    607
   ],
   [
    13,
    15,
    26,
    29,
    57,
    62,
    63,
    71,
    78,
    116,
    155,
    171,
    219,
    225,
    237,
    243,
    259,
    266,
    313,
    394,
    402,
    490,
    547,
    586,
    592,
    608
   ],
   [
    14,
    16,
    27,
    30,
    58,
    63,
    64,
    72,
    79,
    117,
    156,
    172,
    220,
    226,
    238,
    244,
    260,
    267,
    314,
    395,
    403,
    491,
    548,
    587,
    593,
    609
   ],
   [
    0,
    15,
    17,
    28,
    31,
    59,
    64,
    65,
    73,
    80,
    118,
    157,
    173,
    221,
    227,
    239,
    245,
    261,
    268,
    396,
    404,
    492,
    549,
    588,
    594,
    610
   ],
   [
    1,
    16,
    18,
    29,
    32,
    60,
    65,
    66,
    74,
    81,
    119,
    158,
    174,
    222,
    228,
    240,
    246,
    262,
    269,
    397,
    405,
    493,
    550,
    589,
    595,
    611
   ],
   [
    2,
    17,
    19,
    30,
    33,
    61,
    66,
    67,
    75,
    82,
    120,
    159,
    175,
    223,
    229,
    241,
    247,
    263,
    270,
    398,
    406,
    494,
    551,
    590,
    596,
    612
   ],
   [
    3,
    18,
    20,
    31,
    34,
    62,
    67,
    68,
    76,
    83,
    121,
    160,
    176,
    224,
    230,
    242,
    248,
    264,
    271,
    399,
    407,
    495,
    552,
    591,
    597,
    613
   ],
   [
    4,
    19,
    21,
    32,
    35,
    63,
    68,
    69,
    77,
    84,
    122,
    161,
    177,
    225,
    231,
    243,
    249,
    265,
    272,
    400,
    408,
    496,
    553,
    592,
    598,
    614
   ],
   [
    5,
    20,
    22,
    33,
    36,
    64,
    69,
    70,
    78,
    85,
    123,
    162,
    178,
    226,
    232,
    244,
    250,
    266,
    273,
    401,
    409,
    497,
    554,
    593,
    599,
    615
   ],
   [
    6,
    21,
    23,
    34,
    37,
    65,
    70,
    71,
    79,
    86,
    124,
    163,
    179,
    227,
    233,
    245,
    251,
    267,
    274,
    402,
    410,
    498,
    555,
    594,
    600,
    616
   ],
   [
    7,
    22,
    24,
    35,
    38,
    66,
    71,
    72,
    80,
    87,
    125,
    164,
    180,
    228,
    234,
    246,
    252,
    268,
    275,
    403,
    411,
    499,
    556,
    595,
    601,
    617
   ],
   [
    8,
    23,
    25,
    36,
    39,
    67,
    72,
    73,
    81,
    88,
    126,
    165,
    181,
    229,
    235,
    247,
    253,
    269,
    276,
    404,
    412,
    500,
    557,
    596,
    602,
    618
   ],
   [
    9,
    24,
    26,
    37,
    40,
    68,
    73,
    74,
    82,
    89,
    127,
    166,
    182,
    230,
    236,
    248,
    254,
    270,
    277,
    405,
    413,
    501,
    558,
    597,
    603,
    619
   ],
   [
    10,
    25,
    27,
    38,
    41,
    69,
    74,
    75,
    83,
    90,
    128,
    167,
    183,
    231,
    237,
    249,
    255,
    271,
    278,
    406,
    414,
    502,
    559,
    598,
    604,
    620
   ],
   [
    11,
    26,
    28,
    39,
    42,
    70,
    75,
    76,
    84,
    91,
    129,
    168,
    184,
    232,
    238,
    250,
    256,
    272,
    279,
    407,
    415,
    503,
    560,
    599,
    605,
    621
   ],
   [
    12,
    27,
    29,
    40,
    43,
    71,
    76,
    77,
    85,
    92,
    130,
    169,
    185,
    233,
    239,
    251,
    257,
    273,
    280,
    408,
    416,
    504,
    561,
    600,
    606,
    622
   ],
   [
    13,
    28,
    30,
    41,
    44,
    72,
    77,
    78,
    86,
    93,
    131,
    170,
    186,
    234,
    240,
    252,
    258,
    274,
    281,
    409,
    417,
    505,
    562,
    601,
    607,
    623
   ],
   [
    14,
    29,
    31,
    42,
    45,
    73,
    78,
    79,
    87,
    94,
    132,
    171,
    187,
    235,
    241,
    253,
    259,
    275,
    282,
    410,
    418,
    506,
    563,
    602,
    608,
    624
   ],
   [
    15,
    30,
    32,
    43,
    46,
    74,
    79,
    80,
    88,
    95,
    133,
    172,
    188,
    236,
    242,
    254,
    260,
    276,
    283,
    411,
    419,
    507,
    564,
    603,
    609,
    625
   ],
   [
    16,
    31,
    33,
    44,
    47,
    75,
    80,
    81,
    89,
    96,
    134,
    173,
    189,
    237,
    243,
    255,
    261,
    277,
    284,
    412,
    420,
    508,
    565,
    604,
    610,
    626
   ],
   [
    17,
    32,
    34,
    45,
    48,
    76,
    81,
    82,
    90,
    97,
    135,
    174,
    190,
    238,
    244,
    256,
    262,
    278,
    285,
    413,
    421,
    509,
    566,
    605,
    611,
    627
   ],
   [
    18,
    33,
    35,
    46,
    49,
    77,
    82,
    83,
    91,
    98,
    136,
    175,
    191,
    239,
    245,
    257,
    263,
    279,
    286,
    414,
    422,
    510,
    567,
    606,
    612,
    628
   ],
   [
    19,
    34,
    36,
    47,
    50,
    78,
    83,
    84,
    92,
    99,
    137,
    176,
    192,
    240,
    246,
    258,
    264,
    280,
    287,
    415,
    423,
    511,
    568,
    607,
    613,
    629
   ],
   [
    20,
    35,
    37,
    48,
    51,
    79,
    84,
    85,
    93,
    100,
    138,
    177,
    193,
    241,
    247,
    259,
    265,
    281,
    288,
    315,
    416,
    424,
    512,
    569,
    608,
    614
   ],
   [
    21,
    36,
    38,
    49,
    52,
    80,
    85,
    86,
    94,
    101,
    139,
    178,
    194,
    242,
    248,
    260,
    266,
    282,
    289,
    316,
    417,
    425,
    513,
    570,
    609,
    615
   ],
   [
    22,
    37,
    39,
    50,
    53,
    81,
    86,
    87,
    95,
    102,
    140,
    179,
    195,
    243,
    249,
    261,
    267,
    283,
    290,
    317,
    418,
    426,
    514,
    571,
    610,
    616
   ],
   [
    23,
    38,
    40,
    51,
    54,
    82,
    87,
    88,
    96,
    103,
    141,
    180,
    196,
    244,
    250,
    262,
    268,
    284,
    291,
    318,
    419,
    427,
    515,
    572,
    611,
    617
   ],
   [
    24,
    39,
    41,
    52,
    55,
    83,
    88,
    89,
    97,
    104,
    142,
    181,
    197,
    245,
    251,
    263,
    269,
    285,
    292,
    319,
    420,
    428,
    516,
    573,
    612,
    618
   ],
   [
    25,
    40,
    42,
    53,
    56,
    84,
    89,
    90,
    98,
    105,
    143,
    182,
    198,
    246,
    252,
    264,
    270,
    286,
    293,
    320,
    421,
    429,
    517,
    574,
    613,
    619
   ],
   [
    26,
    41,
    43,
    54,
    57,
    85,
    90,
    91,
    99,
    106,
    144,
    183,
    199,
    247,
    253,
    265,
    271,
    287,
    294,
    321,
    422,
    430,
    518,
    575,
    614,
    620
   ],
   [
    27,
    42,
    44,
    55,
    58,
    86,
    91,
    92,
    100,
    107,
    145,
    184,
    200,
    248,
    254,
    266,
    272,
    288,
    295,
    322,
    423,
    431,
    519,
    576,
    615,
    621
   ],
   [
    28,
    43,
    45,
    56,
    59,
    87,
    92,
    93,
    101,
    108,
    146,
    185,
    201,
    249,
    255,
    267,
    273,
    289,
    296,
    323,
    424,
    432,
    520,
    577,
    616,
    622
   ],
   [
    29,
    44,
    46,
    57,
    60,
    88,
    93,
    94,
    102,
    109,
    147,
    186,
    202,
    250,
    256,
    268,
    274,
    290,
    297,
    324,
    425,
    433,
    521,
    578,
    617,
    623
   ],
   [
    30,
    45,
    47,
    58,
    61,
    89,
    94,
    95,
    103,
    110,
    148,
    187,
    203,
    251,
    257,
    269,
    275,
    291,
    298,
    325,
    426,
    434,
    522,
    579,
    618,
    624
   ],
   [
    31,
    46,
    48,
    59,
    62,
    90,
    95,
    96,
    104,
    111,
    149,
    188,
    204,
    252,
    258,
    270,
    276,
    292,
    299,
    326,
    427,
    435,
    523,
    580,
    619,
    625
   ],
   [
    32,
    47,
    49,
    60,
    63,
    91,
    96,
    97,
    105,
    112,
    150,
    189,
    205,
    253,
    259,
    271,
    277,
    293,
    300,
    327,
    428,
    436,
    524,
    581,
    620,
    626
   ],
   [
    33,
    48,
    50,
    61,
    64,
    92,
    97,
    98,
    106,
    113,
    151,
    190,
    206,
    254,
    260,
    272,
    278,
    294,
    301,
    328,
    429,
    437,
    525,
    582,
    621,
    627
   ],
   [
    34,
    49,
    51,
    62,
    65,
    93,
    98,
    99,
    107,
    114,
    152,
    191,
    207,
    255,
    261,
    273,
    279,
    295,
    302,
    329,
    430,
    438,
    526,
    583,
    622,
    628
   ],
   [
    35,
    50,
    52,
    63,
    66,
    94,
    99,
    100,
    108,
    115,
    153,
    192,
    208,
    256,
    262,
    274,
    280,
    296,
    303,
    330,
    431,
    439,
    527,
    584,
    623,
    629
   ],
   [
    36,
    51,
    53,
    64,
    67,
    95,
    100,
    101,
    109,
    116,
    154,
    193,
    209,
    257,
    263,
    275,
    281,
    297,
    304,
    315,
    331,
    432,
    440,
    528,
    585,
    624
   ],
   [
    37,
    52,
    54,
    65,
    68,
    96,
    101,
    102,
    110,
    117,
    155,
    194,
    210,
    258,
    264,
    276,
    282,
    298,
    305,
    316,
    332,
    433,
    441,
    529,
    586,
    625
   ],
   [
    38,
    53,
    55,
    66,
    69,
    97,
    102,
    103,
    111,
    118,
    156,
    195,
    211,
    259,
    265,
    277,
    283,
    299,
    306,
    317,
    333,
    434,
    442,
    530,
    587,
    626
   ],
   [
    39,
    54,
    56,
    67,
    70,
    98,
    103,
    104,
    112,
    119,
    157,
    196,
    212,
    260,
    266,
    278,
    284,
    300,
    307,
    318,
    334,
    435,
    443,
    531,
    588,
    627
   ],
   [
    40,
    55,
    57,
    68,
    71,
    99,
    104,
    105,
    113,
    120,
    158,
    197,
    213,
    261,
    267,
    279,
    285,
    301,
    308,
    319,
    335,
    436,
    444,
    532,
    589,
    628
   ],
   [
    41,
    56,
    58,
    69,
    72,
    100,
    105,
    106,
    114,
    121,
    159,
    198,
    214,
    262,
    268,
    280,
    286,
    302,
    309,
    320,
    336,
    437,
    445,
    533,
    590,
    629
   ],
   [
    42,
    57,
    59,
    70,
    73,
    101,
    106,
    107,
    115,
    122,
    160,
    199,
    215,
    263,
    269,
    281,
    287,
    303,
    310,
    315,
    321,
    337,
    438,
    446,
    534,
    591
   ],
   [
    43,
    58,
    60,
    71,
    74,
    102,
    107,
    108,
    116,
    123,
    161,
    200,
    216,
    264,
    270,
    282,
    288,
    304,
    311,
    316,
    322,
    338,
    439,
    447,
    535,
    592
   ],
   [
    44,
    59,
    61,
    72,
    75,
    103,
    108,
    109,
    117,
    124,
    162,
    201,
    217,
    265,
    271,
    283,
    289,
    305,
    312,
    317,
    323,
    339,
    440,
    448,
    536,
    593
   ],
   [
    45,
    60,
    62,
    73,
    76,
    104,
    109,
    110,
    118,
    125,
    163,
    202,
    218,
    266,
    272,
    284,
    290,
    306,
    313,
    318,
    324,
    340,
    441,
    449,
    537,
    594
   ],
   [
    46,
    61,
    63,
    74,
    77,
    105,
    110,
    111,
    119,
    126,
    164,
    203,
    219,
    267,
    273,
    285,
    291,
    307,
    314,
    319,
    325,
    341,
    442,
    450,
    538,
    595
   ],
   [
    0,
    47,
    62,
    64,
    75,
    78,
    106,
    111,
    112,
    120,
    127,
    165,
    204,
    220,
    268,
    274,
    286,
    292,
    308,
    320,
    326,
    342,
    443,
    451,
    539,
    596
   ],
   [
    1,
    48,
    63,
    65,
    76,
    79,
    107,
    112,
    113,
    121,
    128,
    166,
    205,
    221,
    269,
    275,
    287,
    293,
    309,
    321,
    327,
    343,
    444,
    452,
    540,
    597
   ],
   [
    2,
    49,
    64,
    66,
    77,
    80,
    108,
    113,
    114,
    122,
    129,
    167,
    206,
    222,
    270,
    276,
    288,
    294,
    310,
    322,
    328,
    344,
    445,
    453,
    541,
    598
   ],
   [
    3,
    50,
    65,
    67,
    78,
    81,
    109,
    114,
    115,
    123,
    130,
    168,
    207,
    223,
    271,
    277,
    289,
    295,
    311,
    323,
    329,
    345,
    446,
    454,
    542,
    599
   ],
   [
    4,
    51,
    66,
    68,
    79,
    82,
    110,
    115,
    116,
    124,
    131,
    169,
    208,
    224,
    272,
    278,
    290,
    296,
    312,
    324,
    330,
    346,
    447,
    455,
    543,
    600
   ],
   [
    5,
    52,
    67,
    69,
    80,
    83,
    111,
    116,
    117,
    125,
    132,
    170,
    209,
    225,
    273,
    279,
    291,
    297,
    313,
    325,
    331,
    347,
    448,
    456,
    544,
    601
   ],
   [
    6,
    53,
    68,
    70,
    81,
    84,
    112,
    117,
    118,
    126,
    133,
    171,
    210,
    226,
    274,
    280,
    292,
    298,
    314,
    326,
    332,
    348,
    449,
    457,
    545,
    602
   ],
   [
    0,
    7,
    54,
    69,
    71,
    82,
    85,
    113,
    118,
    119,
    127,
    134,
    172,
    211,
    227,
    275,
    281,
    293,
    299,
    327,
    333,
    349,
    450,
    458,
    546,
    603
   ],
   [
    1,
    8,
    55,
    70,
    72,
    83,
    86,
    114,
    119,
    120,
    128,
    135,
    173,
    212,
    228,
    276,
    282,
    294,
    300,
    328,
    334,
    350,
    451,
    459,
    547,
    604
   ],
   [
    2,
    9,
    56,
    71,
    73,
    84,
    87,
    115,
    120,
    121,
    129,
    136,
    174,
    213,
    229,
    277,
    283,
    295,
    301,
    329,
    335,
    351,
    452,
    460,
    548,
    605
   ],
   [
    3,
    10,
    57,
    72,
    74,
    85,
    88,
    116,
    121,
    122,
    130,
    137,
    175,
    214,
    230,
    278,
    284,
    296,
    302,
    330,
    336,
    352,
    453,
    461,
    549,
    606
   ],
   [
    4,
    11,
    58,
    73,
    75,
    86,
    89,
    117,
    122,
    123,
    131,
    138,
    176,
    215,
    231,
    279,
    285,
    297,
    303,
    331,
    337,
    353,
    454,
    462,
    550,
    607
   ],
   [
    5,
    12,
    59,
    74,
    76,
    87,
    90,
    118,
    123,
    124,
    132,
    139,
    177,
    216,
    232,
    280,
    286,
    298,
    304,
    332,
    338,
    354,
    455,
    463,
    551,
    608
   ],
   [
    6,
    13,
    60,
    75,
    77,
    88,
    91,
    119,
    124,
    125,
    133,
    140,
    178,
    217,
    233,
    281,
    287,
    299,
    305,
    333,
    339,
    355,
    456,
    464,
    552,
    609
   ],
   [
    7,
    14,
    61,
    76,
    78,
    89,
    92,
    120,
    125,
    126,
    134,
    141,
    179,
    218,
    234,
    282,
    288,
    300,
    306,
    334,
    340,
    356,
    457,
    465,
    553,
    610
   ],
   [
    8,
    15,
    62,
    77,
    79,
    90,
    93,
    121,
    126,
    127,
    135,
    142,
    180,
    219,
    235,
    283,
    289,
    301,
    307,
    335,
    341,
    357,
    458,
    466,
    554,
    611
   ],
   [
    9,
    16,
    63,
    78,
    80,
    91,
    94,
    122,
    127,
    128,
    136,
    143,
    181,
    220,
    236,
    284,
    290,
    302,
    308,
    336,
    342,
    358,
    459,
    467,
    555,
    612
   ],
   [
    10,
    17,
    64,
    79,
    81,
    92,
    95,
    123,
    128,
    129,
    137,
    144,
    182,
    221,
    237,
    285,
    291,
    303,
    309,
    337,
    343,
    359,
    460,
    468,
    556,
    613
   ],
   [
    11,
    18,
    65,
    80,
    82,
    93,
    96,
    124,
    129,
    130,
    138,
    145,
    183,
    222,
    238,
    286,
    292,
    304,
    310,
    338,
    344,
    360,
    461,
    469,
    557,
    614
   ],
   [
    12,
    19,
    66,
    81,
    83,
    94,
    97,
    125,
    130,
    131,
    139,
    146,
    184,
    223,
    239,
    287,
    293,
    305,
    311,
    339,
    345,
    361,
    462,
    470,
    558,
    615
   ],
   [
    13,
    20,
    67,
    82,
    84,
    95,
    98,
    126,
    131,
    132,
    140,
    147,
    185,
    224,
    240,
    288,
    294,
    306,
    312,
    340,
    346,
    362,
    463,
    471,
    559,
    616
   ],
   [
    14,
    21,
    68,
    83,
    85,
    96,
    99,
    127,
    132,
    133,
    141,
    148,
    186,
    225,
    241,
    289,
    295,
    307,
    313,
    341,
    347,
    363,
    464,
    472,
    560,
    617
   ],
   [
    15,
    22,
    69,
    84,
    86,
    97,
    100,
    128,
    133,
    134,
    142,
    149,
    187,
    226,
    242,
    290,
    296,
    308,
    314,
    342,
    348,
    364,
    465,
    473,
    561,
    618
   ],
   [
    0,
    16,
    23,
    70,
    85,
    87,
    98,
    101,
    129,
    134,
    135,
    143,
    150,
    188,
    227,
    243,
    291,
    297,
    309,
    343,
    349,
    365,
    466,
    474,
    562,
    619
   ],
   [
    1,
    17,
    24,
    71,
    86,
    88,
    99,
    102,
    130,
    135,
    136,
    144,
    151,
    189,
    228,
    244,
    292,
    298,
    310,
    344,
    350,
    366,
    467,
    475,
    563,
    620
   ],
   [
    2,
    18,
    25,
    72,
    87,
    89,
    100,
    103,
    131,
    136,
    137,
    145,
    152,
    190,
    229,
    245,
    293,
    299,
    311,
    345,
    351,
    367,
    468,
    476,
    564,
    621
   ],
   [
    3,
    19,
    26,
    73,
    88,
    90,
    101,
    104,
    132,
    137,
    138,
    146,
    153,
    191,
    230,
    246,
    294,
    300,
    312,
    346,
    352,
    368,
    469,
    477,
    565,
    622
   ],
   [
    4,
    20,
    27,
    74,
    89,
    91,
    102,
    105,
    133,
    138,
    139,
    147,
    154,
    192,
    231,
    247,
    295,
    301,
    313,
    347,
    353,
    369,
    470,
    478,
    566,
    623
   ],
   [
    5,
    21,
    28,
    75,
    90,
    92,
    103,
    106,
    134,
    139,
    140,
    148,
    155,
    193,
    232,
    248,
    296,
    302,
    314,
    348,
    354,
    370,
    471,
    479,
    567,
    624
   ],
   [
    0,
    6,
    22,
    29,
    76,
    91,
    93,
    104,
    107,
    135,
    140,
    141,
    149,
    156,
    194,
    233,
    249,
    297,
    303,
    349,
    355,
    371,
    472,
    480,
    568,
    625
   ],
   [
    1,
    7,
    23,
    30,
    77,
    92,
    94,
    105,
    108,
    136,
    141,
    142,
    150,
    157,
    195,
    234,
    250,
    298,
    304,
    350,
    356,
    372,
    473,
    481,
    569,
    626
   ],
   [
    2,
    8,
    24,
    31,
    78,
    93,
    95,
    106,
    109,
    137,
    142,
    143,
    151,
    158,
    196,
    235,
    251,
    299,
    305,
    351,
    357,
    373,
    474,
    482,
    570,
    627
   ],
   [
    3,
    9,
    25,
    32,
    79,
    94,
    96,
    107,
    110,
    138,
    143,
    144,
    152,
    159,
    197,
    236,
    252,
    300,
    306,
    352,
    358,
    374,
    475,
    483,
    571,
    628
   ],
   [
    4,
    10,
    26,
    33,
    80,
    95,
    97,
    108,
    111,
    139,
    144,
    145,
    153,
    160,
    198,
    237,
    253,
    301,
    307,
    353,
    359,
    375,
    476,
    484,
    572,
    629
   ],
   [
    5,
    11,
    27,
    34,
    81,
    96,
    98,
    109,
    112,
    140,
    145,
    146,
    154,
    161,
    199,
    238,
    254,
    302,
    308,
    315,
    354,
    360,
    376,
    477,
    485,
    573
   ],
   [
    6,
    12,
    28,
    35,
    82,
    97,
    99,
    110,
    113,
    141,
    146,
    147,
    155,
    162,
    200,
    239,
    255,
    303,
    309,
    316,
    355,
    361,
    377,
    478,
    486,
    574
   ],
   [
    7,
    13,
    29,
    36,
    83,
    98,
    100,
    111,
    114,
    142,
    147,
    148,
    156,
    163,
    201,
    240,
    256,
    304,
    310,
    317,
    356,
    362,
    378,
    479,
    487,
    575
   ],
   [
    8,
    14,
    30,
    37,
    84,
    99,
    101,
    112,
    115,
    143,
    148,
    149,
    157,
    164,
    202,
    241,
    257,
    305,
    311,
    318,
    357,
    363,
    379,
    480,
    488,
    576
   ],
   [
    9,
    15,
    31,
    38,
    85,
    100,
    102,
    113,
    116,
    144,
    149,
    150,
    158,
    165,
    203,
    242,
    258,
    306,
    312,
    319,
    358,
    364,
    380,
    481,
    489,
    577
   ],
   [
    10,
    16,
    32,
    39,
    86,
    101,
    103,
    114,
    117,
    145,
    150,
    151,
    159,
    166,
    204,
    243,
    259,
    307,
    313,
    320,
    359,
    365,
    381,
    482,
    490,
    578
   ],
   [
    11,
    17,
    33,
    40,
    87,
    102,
    104,
    115,
    118,
    146,
    151,
    152,
    160,
    167,
    205,
    244,
    260,
    308,
    314,
    321,
    360,
    366,
    382,
    483,
    491,
    579
   ],
   [
    0,
    12,
    18,
    34,
    41,
    88,
    103,
    105,
    116,
    119,
    147,
    152,
    153,
    161,
    168,
    206,
    245,
    261,
    309,
    322,
    361,
    367,
    383,
    484,
    492,
    580
   ],
   [
    1,
    13,
    19,
    35,
    42,
    89,
    104,
    106,
    117,
    120,
    148,
    153,
    154,
    162,
    169,
    207,
    246,
    262,
    310,
    323,
    362,
    368,
    384,
    485,
    493,
    581
   ],
   [
    2,
    14,
    20,
    36,
    43,
    90,
    105,
    107,
    118,
    121,
    149,
    154,
    155,
    163,
    170,
    208,
    247,
    263,
    311,
    324,
    363,
    369,
    385,
    486,
    494,
    582
   ],
   [
    3,
    15,
    21,
    37,
    44,
    91,
    106,
    108,
    119,
    122,
    150,
    155,
    156,
    164,
    171,
    209,
    248,
    264,
    312,
    325,
    364,
    370,
    386,
    487,
    495,
    583
   ],
   [
    4,
    16,
    22,
    38,
    45,
    92,
    107,
    109,
    120,
    123,
    151,
    156,
    157,
    165,
    172,
    210,
    249,
    265,
    313,
    326,
    365,
    371,
    387,
    488,
    496,
    584
   ],
   [
    5,
    17,
    23,
    39,
    46,
    93,
    108,
    110,
    121,
    124,
    152,
    157,
    158,
    166,
    173,
    211,
    250,
    266,
    314,
    327,
    366,
    372,
    388,
    489,
    497,
    585
   ],
   [
    0,
    6,
    18,
    24,
    40,
    47,
    94,
    109,
    111,
    122,
    125,
    153,
    158,
    159,
    167,
    174,
    212,
    251,
    267,
    328,
    367,
    373,
    389,
    490,
    498,
    586
   ],
   [
    1,
    7,
    19,
    25,
    41,
    48,
    95,
    110,
    112,
    123,
    126,
    154,
    159,
    160,
    168,
    175,
    213,
    252,
    268,
    329,
    368,
    374,
    390,
    491,
    499,
    587
   ],
   [
    2,
    8,
    20,
    26,
    42,
    49,
    96,
    111,
    113,
    124,
    127,
    155,
    160,
    161,
    169,
    176,
    214,
    253,
    269,
    330,
    369,
    375,
    391,
    492,
    500,
    588
   ],
   [
    3,
    9,
    21,
    27,
    43,
    50,
    97,
    112,
    114,
    125,
    128,
    156,
    161,
    162,
    170,
    177,
    215,
    254,
    270,
    331,
    370,
    376,
    392,
    493,
    501,
    589
   ],
   [
    4,
    10,
    22,
    28,
    44,
    51,
    98,
    113,
    115,
    126,
    129,
    157,
    162,
    163,
    171,
    178,
    216,
    255,
    271,
    332,
    371,
    377,
    393,
    494,
    502,
    590
   ],
   [
    5,
    11,
    23,
    29,
    45,
    52,
    99,
    114,
    116,
    127,
    130,
    158,
    163,
    164,
    172,
    179,
    217,
    256,
    272,
    333,
    372,
    378,
    394,
    495,
    503,
    591
   ],
   [
    6,
    12,
    24,
    30,
    46,
    53,
    100,
    115,
    117,
    128,
    131,
    159,
    164,
    165,
    173,
    180,
    218,
    257,
    273,
    334,
    373,
    379,
    395,
    496,
    504,
    592
   ],
   [
    7,
    13,
    25,
    31,
    47,
    54,
    101,
    116,
    118,
    129,
    132,
    160,
    165,
    166,
    174,
    181,
    219,
    258,
    274,
    335,
    374,
    380,
    396,
    497,
    505,
    593
   ],
   [
    8,
    14,
    26,
    32,
    48,
    55,
    102,
    117,
    119,
    130,
    133,
    161,
    166,
    167,
    175,
    182,
    220,
    259,
    275,
    336,
    375,
    381,
    397,
    498,
    506,
    594
   ],
   [
    9,
    15,
    27,
    33,
    49,
    56,
    103,
    118,
    120,
    131,
    134,
    162,
    167,
    168,
    176,
    183,
    221,
    260,
    276,
    337,
    376,
    382,
    398,
    499,
    507,
    595
   ],
   [
    10,
    16,
    28,
    34,
    50,
    57,
    104,
    119,
    121,
    132,
    135,
    163,
    168,
    169,
    177,
    184,
    222,
    261,
    277,
    338,
    377,
    383,
    399,
    500,
    508,
    596
   ],
   [
    11,
    17,
    29,
    35,
    51,
    58,
    105,
    120,
    122,
    133,
    136,
    164,
    169,
    170,
    178,
    185,
    223,
    262,
    278,
    339,
    378,
    384,
    400,
    501,
    509,
    597
   ],
   [
    12,
    18,
    30,
    36,
    52,
    59,
    106,
    121,
    123,
    134,
    137,
    165,
    170,
    171,
    179,
    186,
    224,
    263,
    279,
    340,
    379,
    385,
    401,
    502,
    510,
    598
   ],
   [
    13,
    19,
    31,
    37,
    53,
    60,
    107,
    122,
    124,
    135,
    138,
    166,
    171,
    172,
    180,
    187,
    225,
    264,
    280,
    341,
    380,
    386,
    402,
    503,
    511,
    599
   ],
   [
    14,
    20,
    32,
    38,
    54,
    61,
    108,
    123,
    125,
    136,
    139,
    167,
    172,
    173,
    181,
    188,
    226,
    265,
    281,
    342,
    381,
    387,
    403,
    504,
    512,
    600
   ],
   [
    15,
    21,
    33,
    39,
    55,
    62,
    109,
    124,
    126,
    137,
    140,
    168,
    173,
    174,
    182,
    189,
    227,
    266,
    282,
    343,
    382,
    388,
    404,
    505,
    513,
    601
   ],
   [
    16,
    22,
    34,
    40,
    56,
    63,
    110,
    125,
    127,
    138,
    141,
    169,
    174,
    175,
    183,
    190,
    228,
    267,
    283,
    344,
    383,
    389,
    405,
    506,
    514,
    602
   ],
   [
    17,
    23,
    35,
    41,
    57,
    64,
    111,
    126,
    128,
    139,
    142,
    170,
    175,
    176,
    184,
    191,
    229,
    268,
    284,
    345,
    384,
    390,
    406,
    507,
    515,
    603
   ],
   [
    18,
    24,
    36,
    42,
    58,
    65,
    112,
    127,
    129,
    140,
    143,
    171,
    176,
    177,
    185,
    192,
    230,
    269,
    285,
    346,
    385,
    391,
    407,
    508,
    516,
    604
   ],
   [
    19,
    25,
    37,
    43,
    59,
    66,
    113,
    128,
    130,
    141,
    144,
    172,
    177,
    178,
    186,
    193,
    231,
    270,
    286,
    347,
    386,
    392,
    408,
    509,
    517,
    605
   ],
   [
    20,
    26,
    38,
    44,
    60,
    67,
    114,
    129,
    131,
    142,
    145,
    173,
    178,
    179,
    187,
    194,
    232,
    271,
    287,
    348,
    387,
    393,
    409,
    510,
    518,
    606
   ],
   [
    21,
    27,
    39,
    45,
    61,
    68,
    115,
    130,
    132,
    143,
    146,
    174,
    179,
    180,
    188,
    195,
    233,
    272,
    288,
    349,
    388,
    394,
    410,
    511,
    519,
    607
   ],
   [
    22,
    28,
    40,
    46,
    62,
    69,
    116,
    131,
    133,
    144,
    147,
    175,
    180,
    181,
    189,
    196,
    234,
    273,
    289,
    350,
    389,
    395,
    411,
    512,
    520,
    608
   ],
   [
    23,
    29,
    41,
    47,
    63,
    70,
    117,
    132,
    134,
    145,
    148,
    176,
    181,
    182,
    190,
    197,
    235,
    274,
    290,
    351,
    390,
    396,
    412,
    513,
    521,
    609
   ],
   [
    24,
    30,
    42,
    48,
    64,
    71,
    118,
    133,
    135,
    146,
    149,
    177,
    182,
    183,
    191,
    198,
    236,
    275,
    291,
    352,
    391,
    397,
    413,
    514,
    522,
    610
   ],
   [
    25,
    31,
    43,
    49,
    65,
    72,
    119,
    134,
    136,
    147,
    150,
    178,
    183,
    184,
    192,
    199,
    237,
    276,
    292,
    353,
    392,
    398,
    414,
    515,
    523,
    611
   ],
   [
    26,
    32,
    44,
    50,
    66,
    73,
    120,
    135,
    137,
    148,
    151,
    179,
    184,
    185,
    193,
    200,
    238,
    277,
    293,
    354,
    393,
    399,
    415,
    516,
    524,
    612
   ],
   [
    27,
    33,
    45,
    51,
    67,
    74,
    121,
    136,
    138,
    149,
    152,
    180,
    185,
    186,
    194,
    201,
    239,
    278,
    294,
    355,
    394,
    400,
    416,
    517,
    525,
    613
   ],
   [
    28,
    34,
    46,
    52,
    68,
    75,
    122,
    137,
    139,
    150,
    153,
    181,
    186,
    187,
    195,
    202,
    240,
    279,
    295,
    356,
    395,
    401,
    417,
    518,
    526,
    614
   ],
   [
    29,
    35,
    47,
    53,
    69,
    76,
    123,
    138,
    140,
    151,
    154,
    182,
    187,
    188,
    196,
    203,
    241,
    280,
    296,
    357,
    396,
    402,
    418,
    519,
    527,
    615
   ],
   [
    30,
    36,
    48,
    54,
    70,
    77,
    124,
    139,
    141,
    152,
    155,
    183,
    188,
    189,
    197,
    204,
    242,
    281,
    297,
    358,
    397,
    403,
    419,
    520,
    528,
    616
   ],
   [
    31,
    37,
    49,
    55,
    71,
    78,
    125,
    140,
    142,
    153,
    156,
    184,
    189,
    190,
    198,
    205,
    243,
    282,
    298,
    359,
    398,
    404,
    420,
    521,
    529,
    617
   ],
   [
    32,
    38,
    50,
    56,
    72,
    79,
    126,
    141,
    143,
    154,
    157,
    185,
    190,
    191,
    199,
    206,
    244,
    283,
    299,
    360,
    399,
    405,
    421,
    522,
    530,
    618
   ],
   [
    33,
    39,
    51,
    57,
    73,
    80,
    127,
    142,
    144,
    155,
    158,
    186,
    191,
    192,
    200,
    207,
    245,
    284,
    300,
    361,
    400,
    406,
    422,
    523,
    531,
    619
   ],
   [
    34,
    40,
    52,
    58,
    74,
    81,
    128,
    143,
    145,
    156,
    159,
    187,
    192,
    193,
    201,
    208,
    246,
    285,
    301,
    362,
    401,
    407,
    423,
    524,
    532,
    620
   ],
   [
    35,
    41,
    53,
    59,
    75,
    82,
    129,
    144,
    146,
    157,
    160,
    188,
    193,
    194,
    202,
    209,
    247,
    286,
    302,
    363,
    402,
    408,
    424,
    525,
    533,
    621
   ],
   [
    36,
    42,
    54,
    60,
    76,
    83,
    130,
    145,
    147,
    158,
    161,
    189,
    194,
    195,
    203,
    210,
    248,
    287,
    303,
    364,
    403,
    409,
    425,
    526,
    534,
    622
   ],
   [
    37,
    43,
    55,
    61,
    77,
    84,
    131,
    146,
    148,
    159,
    162,
    190,
    195,
    196,
    204,
    211,
    249,
    288,
    304,
    365,
    404,
    410,
    426,
    527,
    535,
    623
   ],
   [
    38,
    44,
    56,
    62,
    78,
    85,
    132,
    147,
    149,
    160,
    163,
    191,
    196,
    197,
    205,
    212,
    250,
    289,
    305,
    366,
    405,
    411,
    427,
    528,
    536,
    624
   ],
   [
    39,
    45,
    57,
    63,
    79,
    86,
    133,
    148,
    150,
    161,
    164,
    192,
    197,
    198,
    206,
    213,
    251,
    290,
    306,
    367,
    406,
    412,
    428,
    529,
    537,
    625
   ],
   [
    40,
    46,
    58,
    64,
    80,
    87,
    134,
    149,
    151,
    162,
    165,
    193,
    198,
    199,
    207,
    214,
    252,
    291,
    307,
    368,
    407,
    413,
    429,
    530,
    538,
    626
   ],
   [
    41,
    47,
    59,
    65,
    81,
    88,
    135,
    150,
    152,
    163,
    166,
    194,
    199,
    200,
    208,
    215,
    253,
    292,
    308,
    369,
    408,
    414,
    430,
    531,
    539,
    627
   ],
   [
    42,
    48,
    60,
    66,
    82,
    89,
    136,
    151,
    153,
    164,
    167,
    195,
    200,
    201,
    209,
    216,
    254,
    293,
    309,
    370,
    409,
    415,
    431,
    532,
    540,
    628
   ],
   [
    43,
    49,
    61,
    67,
    83,
    90,
    137,
    152,
    154,
    165,
    168,
    196,
    201,
    202,
    210,
    217,
    255,
    294,
    310,
    371,
    410,
    416,
    432,
    533,
    541,
    629
   ],
   [
    44,
    50,
    62,
    68,
    84,
    91,
    138,
    153,
    155,
    166,
    169,
    197,
    202,
    203,
    211,
    218,
    256,
    295,
    311,
    315,
    372,
    411,
    417,
    433,
    534,
    542
   ],
   [
    45,
    51,
    63,
    69,
    85,
    92,
    139,
    154,
    156,
    167,
    170,
    198,
    203,
    204,
    212,
    219,
    257,
    296,
    312,
    316,
    373,
    412,
    418,
    434,
    535,
    543
   ],
   [
    46,
    52,
    64,
    70,
    86,
    93,
    140,
    155,
    157,
    168,
    171,
    199,
    204,
    205,
    213,
    220,
    258,
    297,
    313,
    317,
    374,
    413,
    419,
    435,
    536,
    544
   ],
   [
    47,
    53,
    65,
    71,
    87,
    94,
    141,
    156,
    158,
    169,
    172,
    200,
    205,
    206,
    214,
    221,
    259,
    298,
    314,
    318,
    375,
    414,
    420,
    436,
    537,
    545
   ],
   [
    0,
    48,
    54,
    66,
    72,
    88,
    95,
    142,
    157,
    159,
    170,
    173,
    201,
    206,
    207,
    215,
    222,
    260,
    299,
    319,
    376,
    415,
    421,
    437,
    538,
    546
   ],
   [
    1,
    49,
    55,
    67,
    73,
    89,
    96,
    143,
    158,
    160,
    171,
    174,
    202,
    207,
    208,
    216,
    223,
    261,
    300,
    320,
    377,
    416,
    422,
    438,
    539,
    547
   ],
   [
    2,
    50,
    56,
    68,
    74,
    90,
    97,
    144,
    159,
    161,
    172,
    175,
    203,
    208,
    209,
    217,
    224,
    262,
    301,
    321,
    378,
    417,
    423,
    439,
    540,
    548
   ],
   [
    3,
    51,
    57,
    69,
    75,
    91,
    98,
    145,
    160,
    162,
    173,
    176,
    204,
    209,
    210,
    218,
    225,
    263,
    302,
    322,
    379,
    418,
    424,
    440,
    541,
    549
   ],
   [
    4,
    52,
    58,
    70,
    76,
    92,
    99,
    146,
    161,
    163,
    174,
    177,
    205,
    210,
    211,
    219,
    226,
    264,
    303,
    323,
    380,
    419,
    425,
    441,
    542,
    550
   ],
   [
    5,
    53,
    59,
    71,
    77,
    93,
    100,
    147,
    162,
    164,
    175,
    178,
    206,
    211,
    212,
    220,
    227,
    265,
    304,
    324,
    381,
    420,
    426,
    442,
    543,
    551
   ],
   [
    6,
    54,
    60,
    72,
    78,
    94,
    101,
    148,
    163,
    165,
    176,
    179,
    207,
    212,
    213,
    221,
    228,
    266,
    305,
    325,
    382,
    421,
    427,
    443,
    544,
    552
   ],
   [
    7,
    55,
    61,
    73,
    79,
    95,
    102,
    149,
    164,
    166,
    177,
    180,
    208,
    213,
    214,
    222,
    229,
    267,
    306,
    326,
    383,
    422,
    428,
    444,
    545,
    553
   ],
   [
    8,
    56,
    62,
    74,
    80,
    96,
    103,
    150,
    165,
    167,
    178,
    181,
    209,
    214,
    215,
    223,
    230,
    268,
    307,
    327,
    384,
    423,
    429,
    445,
    546,
    554
   ],
   [
    9,
    57,
    63,
    75,
    81,
    97,
    104,
    151,
    166,
    168,
    179,
    182,
    210,
    215,
    216,
    224,
    231,
    269,
    308,
    328,
    385,
    424,
    430,
    446,
    547,
    555
   ],
   [
    10,
    58,
    64,
    76,
    82,
    98,
    105,
    152,
    167,
    169,
    180,
    183,
    211,
    216,
    217,
    225,
    232,
    270,
    309,
    329,
    386,
    425,
    431,
    447,
    548,
    556
   ],
   [
    11,
    59,
    65,
    77,
    83,
    99,
    106,
    153,
    168,
    170,
    181,
    184,
    212,
    217,
    218,
    226,
    233,
    271,
    310,
    330,
    387,
    426,
    432,
    448,
    549,
    557
   ],
   [
    12,
    60,
    66,
    78,
    84,
    100,
    107,
    154,
    169,
    171,
    182,
    185,
    213,
    218,
    219,
    227,
    234,
    272,
    311,
    331,
    388,
    427,
    433,
    449,
    550,
    558
   ],
   [
    13,
    61,
    67,
    79,
    85,
    101,
    108,
    155,
    170,
    172,
    183,
    186,
    214,
    219,
    220,
    228,
    235,
    273,
    312,
    332,
    389,
    428,
    434,
    450,
    551,
    559
   ],
   [
    14,
    62,
    68,
    80,
    86,
    102,
    109,
    156,
    171,
    173,
    184,
    187,
    215,
    220,
    221,
    229,
    236,
    274,
    313,
    333,
    390,
    429,
    435,
    451,
    552,
    560
   ],
   [
    15,
    63,
    69,
    81,
    87,
    103,
    110,
    157,
    172,
    174,
    185,
    188,
    216,
    221,
    222,
    230,
    237,
    275,
    314,
    334,
    391,
    430,
    436,
    452,
    553,
    561
   ],
   [
    0,
    16,
    64,
    70,
    82,
    88,
    104,
    111,
    158,
    173,
    175,
    186,
    189,
    217,
    222,
    223,
    231,
    238,
    276,
    335,
    392,
    431,
    437,
    453,
    554,
    562
   ],
   [
    1,
    17,
    65,
    71,
    83,
    89,
    105,
    112,
    159,
    174,
    176,
    187,
    190,
    218,
    223,
    224,
    232,
    239,
    277,
    336,
    393,
    432,
    438,
    454,
    555,
    563
   ],
   [
    2,
    18,
    66,
    72,
    84,
    90,
    106,
    113,
    160,
    175,
    177,
    188,
    191,
    219,
    224,
    225,
    233,
    240,
    278,
    337,
    394,
    433,
    439,
    455,
    556,
    564
   ],
   [
    3,
    19,
    67,
    73,
    85,
    91,
    107,
    114,
    161,
    176,
    178,
    189,
    192,
    220,
    225,
    226,
    234,
    241,
    279,
    338,
    395,
    434,
    440,
    456,
    557,
    565
   ],
   [
    4,
    20,
    68,
    74,
    86,
    92,
    108,
    115,
    162,
    177,
    179,
    190,
    193,
    221,
    226,
    227,
    235,
    242,
    280,
    339,
    396,
    435,
    441,
    457,
    558,
    566
   ],
   [
    5,
    21,
    69,
    75,
    87,
    93,
    109,
    116,
    163,
    178,
    180,
    191,
    194,
    222,
    227,
    228,
    236,
    243,
    281,
    340,
    397,
    436,
    442,
    458,
    559,
    567
   ],
   [
    6,
    22,
    70,
    76,
    88,
    94,
    110,
    117,
    164,
    179,
    181,
    192,
    195,
    223,
    228,
    229,
    237,
    244,
    282,
    341,
    398,
    437,
    443,
    459,
    560,
    568
   ],
   [
    7,
    23,
    71,
    77,
    89,
    95,
    111,
    118,
    165,
    180,
    182,
    193,
    196,
    224,
    229,
    230,
    238,
    245,
    283,
    342,
    399,
    438,
    444,
    460,
    561,
    569
   ],
   [
    8,
    24,
    72,
    78,
    90,
    96,
    112,
    119,
    166,
    181,
    183,
    194,
    197,
    225,
    230,
    231,
    239,
    246,
    284,
    343,
    400,
    439,
    445,
    461,
    562,
    570
   ],
   [
    9,
    25,
    73,
    79,
    91,
    97,
    113,
    120,
    167,
    182,
    184,
    195,
    198,
    226,
    231,
    232,
    240,
    247,
    285,
    344,
    401,
    440,
    446,
    462,
    563,
    571
   ],
   [
    10,
    26,
    74,
    80,
    92,
    98,
    114,
    121,
    168,
    183,
    185,
    196,
    199,
    227,
    232,
    233,
    241,
    248,
    286,
    345,
    402,
    441,
    447,
    463,
    564,
    572
   ],
   [
    11,
    27,
    75,
    81,
    93,
    99,
    115,
    122,
    169,
    184,
    186,
    197,
    200,
    228,
    233,
    234,
    242,
    249,
    287,
    346,
    403,
    442,
    448,
    464,
    565,
    573
   ],
   [
    12,
    28,
    76,
    82,
    94,
    100,
    116,
    123,
    170,
    185,
    187,
    198,
    201,
    229,
    234,
    235,
    243,
    250,
    288,
    347,
    404,
    443,
    449,
    465,
    566,
    574
   ],
   [
    13,
    29,
    77,
    83,
    95,
    101,
    117,
    124,
    171,
    186,
    188,
    199,
    202,
    230,
    235,
    236,
    244,
    251,
    289,
    348,
    405,
    444,
    450,
    466,
    567,
    575
   ],
   [
    14,
    30,
    78,
    84,
    96,
    102,
    118,
    125,
    172,
    187,
    189,
    200,
    203,
    231,
    236,
    237,
    245,
    252,
    290,
    349,
    406,
    445,
    451,
    467,
    568,
    576
   ],
   [
    15,
    31,
    79,
    85,
    97,
    103,
    119,
    126,
    173,
    188,
    190,
    201,
    204,
    232,
    237,
    238,
    246,
    253,
    291,
    350,
    407,
    446,
    452,
    468,
    569,
    577
   ],
   [
    16,
    32,
    80,
    86,
    98,
    104,
    120,
    127,
    174,
    189,
    191,
    202,
    205,
    233,
    238,
    239,
    247,
    254,
    292,
    351,
    408,
    447,
    453,
    469,
    570,
    578
   ],
   [
    17,
    33,
    81,
    87,
    99,
    105,
    121,
    128,
    175,
    190,
    192,
    203,
    206,
    234,
    239,
    240,
    248,
    255,
    293,
    352,
    409,
    448,
    454,
    470,
    571,
    579
   ],
   [
    18,
    34,
    82,
    88,
    100,
    106,
    122,
    129,
    176,
    191,
    193,
    204,
    207,
    235,
    240,
    241,
    249,
    256,
    294,
    353,
    410,
    449,
    455,
    471,
    572,
    580
   ],
   [
    19,
    35,
    83,
    89,
    101,
    107,
    123,
    130,
    177,
    192,
    194,
    205,
    208,
    236,
    241,
    242,
    250,
    257,
    295,
    354,
    411,
    450,
    456,
    472,
    573,
    581
   ],
   [
    20,
    36,
    84,
    90,
    102,
    108,
    124,
    131,
    178,
    193,
    195,
    206,
    209,
    237,
    242,
    243,
    251,
    258,
    296,
    355,
    412,
    451,
    457,
    473,
    574,
    582
   ],
   [
    21,
    37,
    85,
    91,
    103,
    109,
    125,
    132,
    179,
    194,
    196,
    207,
    210,
    238,
    243,
    244,
    252,
    259,
    297,
    356,
    413,
    452,
    458,
    474,
    575,
    583
   ],
   [
    22,
    38,
    86,
    92,
    104,
    110,
    126,
    133,
    180,
    195,
    197,
    208,
    211,
    239,
    244,
    245,
    253,
    260,
    298,
    357,
    414,
    453,
    459,
    475,
    576,
    584
   ],
   [
    23,
    39,
    87,
    93,
    105,
    111,
    127,
    134,
    181,
    196,
    198,
    209,
    212,
    240,
    245,
    246,
    254,
    261,
    299,
    358,
    415,
    454,
    460,
    476,
    577,
    585
   ],
   [
    24,
    40,
    88,
    94,
    106,
    112,
    128,
    135,
    182,
    197,
    199,
    210,
    213,
    241,
    246,
    247,
    255,
    262,
    300,
    359,
    416,
    455,
    461,
    477,
    578,
    586
   ],
   [
    25,
    41,
    89,
    95,
    107,
    113,
    129,
    136,
    183,
    198,
    200,
    211,
    214,
    242,
    247,
    248,
    256,
    263,
    301,
    360,
    417,
    456,
    462,
    478,
    579,
    587
   ],
   [
    26,
    42,
    90,
    96,
    108,
    114,
    130,
    137,
    184,
    199,
    201,
    212,
    215,
    243,
    248,
    249,
    257,
    264,
    302,
    361,
    418,
    457,
    463,
    479,
    580,
    588
   ],
   [
    27,
    43,
    91,
    97,
    109,
    115,
    131,
    138,
    185,
    200,
    202,
    213,
    216,
    244,
    249,
    250,
    258,
    265,
    303,
    362,
    419,
    458,
    464,
    480,
    581,
    589
   ],
   [
    28,
    44,
    92,
    98,
    110,
    116,
    132,
    139,
    186,
    201,
    203,
    214,
    217,
    245,
    250,
    251,
    259,
    266,
    304,
    363,
    420,
    459,
    465,
    481,
    582,
    590
   ],
   [
    29,
    45,
    93,
    99,
    111,
    117,
    133,
    140,
    187,
    202,
    204,
    215,
    218,
    246,
    251,
    252,
    260,
    267,
    305,
    364,
    421,
    460,
    466,
    482,
    583,
    591
   ],
   [
    30,
    46,
    94,
    100,
    112,
    118,
    134,
    141,
    188,
    203,
    205,
    216,
    219,
    247,
    252,
    253,
    261,
    268,
    306,
    365,
    422,
    461,
    467,
    483,
    584,
    592
   ],
   [
    31,
    47,
    95,
    101,
    113,
    119,
    135,
    142,
    189,
    204,
    206,
    217,
    220,
    248,
    253,
    254,
    262,
    269,
    307,
    366,
    423,
    462,
    468,
    484,
    585,
    593
   ],
   [
    32,
    48,
    96,
    102,
    114,
    120,
    136,
    143,
    190,
    205,
    207,
    218,
    221,
    249,
    254,
    255,
    263,
    270,
    308,
    367,
    424,
    463,
    469,
    485,
    586,
    594
   ],
   [
    33,
    49,
    97,
    103,
    115,
    121,
    137,
    144,
    191,
    206,
    208,
    219,
    222,
    250,
    255,
    256,
    264,
    271,
    309,
    368,
    425,
    464,
    470,
    486,
    587,
    595
   ],
   [
    34,
    50,
    98,
    104,
    116,
    122,
    138,
    145,
    192,
    207,
    209,
    220,
    223,
    251,
    256,
    257,
    265,
    272,
    310,
    369,
    426,
    465,
    471,
    487,
    588,
    596
   ],
   [
    35,
    51,
    99,
    105,
    117,
    123,
    139,
    146,
    193,
    208,
    210,
    221,
    224,
    252,
    257,
    258,
    266,
    273,
    311,
    370,
    427,
    466,
    472,
    488,
    589,
    597
   ],
   [
    36,
    52,
    100,
    106,
    118,
    124,
    140,
    147,
    194,
    209,
    211,
    222,
    225,
    253,
    258,
    259,
    267,
    274,
    312,
    371,
    428,
    467,
    473,
    489,
    590,
    598
   ],
   [
    37,
    53,
    101,
    107,
    119,
    125,
    141,
    148,
    195,
    210,
    212,
    223,
    226,
    254,
    259,
    260,
    268,
    275,
    313,
    372,
    429,
    468,
    474,
    490,
    591,
    599
   ],
   [
    38,
    54,
    102,
    108,
    120,
    126,
    142,
    149,
    196,
    211,
    213,
    224,
    227,
    255,
    260,
    261,
    269,
    276,
    314,
    373,
    430,
    469,
    475,
    491,
    592,
    600
   ],
   [
    0,
    39,
    55,
    103,
    109,
    121,
    127,
    143,
    150,
    197,
    212,
    214,
    225,
    228,
    256,
    261,
    262,
    270,
    277,
    374,
    431,
    470,
    476,
    492,
    593,
    601
   ],
   [
    1,
    40,
    56,
    104,
    110,
    122,
    128,
    144,
    151,
    198,
    213,
    215,
    226,
    229,
    257,
    262,
    263,
    271,
    278,
    375,
    432,
    471,
    477,
    493,
    594,
    602
   ],
   [
    2,
    41,
    57,
    105,
    111,
    123,
    129,
    145,
    152,
    199,
    214,
    216,
    227,
    230,
    258,
    263,
    264,
    272,
    279,
    376,
    433,
    472,
    478,
    494,
    595,
    603
   ],
   [
    3,
    42,
    58,
    106,
    112,
    124,
    130,
    146,
    153,
    200,
    215,
    217,
    228,
    231,
    259,
    264,
    265,
    273,
    280,
    377,
    434,
    473,
    479,
    495,
    596,
    604
   ],
   [
    4,
    43,
    59,
    107,
    113,
    125,
    131,
    147,
    154,
    201,
    216,
    218,
    229,
    232,
    260,
    265,
    266,
    274,
    281,
    378,
    435,
    474,
    480,
    496,
    597,
    605
   ],
   [
    5,
    44,
    60,
    108,
    114,
    126,
    132,
    148,
    155,
    202,
    217,
    219,
    230,
    233,
    261,
    266,
    267,
    275,
    282,
    379,
    436,
    475,
    481,
    497,
    598,
    606
   ],
   [
    6,
    45,
    61,
    109,
    115,
    127,
    133,
    149,
    156,
    203,
    218,
    220,
    231,
    234,
    262,
    267,
    268,
    276,
    283,
    380,
    437,
    476,
    482,
    498,
    599,
    607
   ],
   [
    7,
    46,
    62,
    110,
    116,
    128,
    134,
    150,
    157,
    204,
    219,
    221,
    232,
    235,
    263,
    268,
    269,
    277,
    284,
    381,
    438,
    477,
    483,
    499,
    600,
    608
   ],
   [
    8,
    47,
    63,
    111,
    117,
    129,
    135,
    151,
    158,
    205,
    220,
    222,
    233,
    236,
    264,
    269,
    270,
    278,
    285,
    382,
    439,
    478,
    484,
    500,
    601,
    609
   ],
   [
    9,
    48,
    64,
    112,
    118,
    130,
    136,
    152,
    159,
    206,
    221,
    223,
    234,
    237,
    265,
    270,
    271,
    279,
    286,
    383,
    440,
    479,
    485,
    501,
    602,
    610
   ],
   [
    10,
    49,
    65,
    113,
    119,
    131,
    137,
    153,
    160,
    207,
    222,
    224,
    235,
    238,
    266,
    271,
    272,
    280,
    287,
    384,
    441,
    480,
    486,
    502,
    603,
    611
   ],
   [
    11,
    50,
    66,
    114,
    120,
    132,
    138,
    154,
    161,
    208,
    223,
    225,
    236,
    239,
    267,
    272,
    273,
    281,
    288,
    385,
    442,
    481,
    487,
    503,
    604,
    612
   ],
   [
    12,
    51,
    67,
    115,
    121,
    133,
    139,
    155,
    162,
    209,
    224,
    226,
    237,
    240,
    268,
    273,
    274,
    282,
    289,
    386,
    443,
    482,
    488,
    504,
    605,
    613
   ],
   [
    13,
    52,
    68,
    116,
    122,
    134,
    140,
    156,
    163,
    210,
    225,
    227,
    238,
    241,
    269,
    274,
    275,
    283,
    290,
    387,
    444,
    483,
    489,
    505,
    606,
    614
   ],
   [
    14,
    53,
    69,
    117,
    123,
    135,
    141,
    157,
    164,
    211,
    226,
    228,
    239,
    242,
    270,
    275,
    276,
    284,
    291,
    388,
    445,
    484,
    490,
    506,
    607,
    615
   ],
   [
    15,
    54,
    70,
    118,
    124,
    136,
    142,
    158,
    165,
    212,
    227,
    229,
    240,
    243,
    271,
    276,
    277,
    285,
    292,
    389,
    446,
    485,
    491,
    507,
    608,
    616
   ],
   [
    16,
    55,
    71,
    119,
    125,
    137,
    143,
    159,
    166,
    213,
    228,
    230,
    241,
    244,
    272,
    277,
    278,
    286,
    293,
    390,
    447,
    486,
    492,
    508,
    609,
    617
   ],
   [
    17,
    56,
    72,
    120,
    126,
    138,
    144,
    160,
    167,
    214,
    229,
    231,
    242,
    245,
    273,
    278,
    279,
    287,
    294,
    391,
    448,
    487,
    493,
    509,
    610,
    618
   ],
   [
    18,
    57,
    73,
    121,
    127,
    139,
    145,
    161,
    168,
    215,
    230,
    232,
    243,
    246,
    274,
    279,
    280,
    288,
    295,
    392,
    449,
    488,
    494,
    510,
    611,
    619
   ],
   [
    19,
    58,
    74,
    122,
    128,
    140,
    146,
    162,
    169,
    216,
    231,
    233,
    244,
    247,
    275,
    280,
    281,
    289,
    296,
    393,
    450,
    489,
    495,
    511,
    612,
    620
   ],
   [
    20,
    59,
    75,
    123,
    129,
    141,
    147,
    163,
    170,
    217,
    232,
    234,
    245,
    248,
    276,
    281,
    282,
    290,
    297,
    394,
    451,
    490,
    496,
    512,
    613,
    621
   ],
   [
    21,
    60,
    76,
    124,
    130,
    142,
    148,
    164,
    171,
    218,
    233,
    235,
    246,
    249,
    277,
    282,
    283,
    291,
    298,
    395,
    452,
    491,
    497,
    513,
    614,
    622
   ],
   [
    22,
    61,
    77,
    125,
    131,
    143,
    149,
    165,
    172,
    219,
    234,
    236,
    247,
    250,
    278,
    283,
    284,
    292,
    299,
    396,
    453,
    492,
    498,
    514,
    615,
    623
   ],
   [
    23,
    62,
    78,
    126,
    132,
    144,
    150,
    166,
    173,
    220,
    235,
    237,
    248,
    251,
    279,
    284,
    285,
    293,
    300,
    397,
    454,
    493,
    499,
    515,
    616,
    624
   ],
   [
    24,
    63,
    79,
    127,
    133,
    145,
    151,
    167,
    174,
    221,
    236,
    238,
    249,
    252,
    280,
    285,
    286,
    294,
    301,
    398,
    455,
    494,
    500,
    516,
    617,
    625
   ],
   [
    25,
    64,
    80,
    128,
    134,
    146,
    152,
    168,
    175,
    222,
    237,
    239,
    250,
    253,
    281,
    286,
    287,
    295,
    302,
    399,
    456,
    495,
    501,
    517,
    618,
    626
   ],
   [
    26,
    65,
    81,
    129,
    135,
    147,
    153,
    169,
    176,
    223,
    238,
    240,
    251,
    254,
    282,
    287,
    288,
    296,
    303,
    400,
    457,
    496,
    502,
    518,
    619,
    627
   ],
   [
    27,
    66,
    82,
    130,
    136,
    148,
    154,
    170,
    177,
    224,
    239,
    241,
    252,
    255,
    283,
    288,
    289,
    297,
    304,
    401,
    458,
    497,
    503,
    519,
    620,
    628
   ],
   [
    28,
    67,
    83,
    131,
    137,
    149,
    155,
    171,
    178,
    225,
    240,
    242,
    253,
    256,
    284,
    289,
    290,
    298,
    305,
    402,
    459,
    498,
    504,
    520,
    621,
    629
   ],
   [
    29,
    68,
    84,
    132,
    138,
    150,
    156,
    172,
    179,
    226,
    241,
    243,
    254,
    257,
    285,
    290,
    291,
    299,
    306,
    315,
    403,
    460,
    499,
    505,
    521,
    622
   ],
   [
    30,
    69,
    85,
    133,
    139,
    151,
    157,
    173,
    180,
    227,
    242,
    244,
    255,
    258,
    286,
    291,
    292,
    300,
    307,
    316,
    404,
    461,
    500,
    506,
    522,
    623
   ],
   [
    31,
    70,
    86,
    134,
    140,
    152,
    158,
    174,
    181,
    228,
    243,
    245,
    256,
    259,
    287,
    292,
    293,
    301,
    308,
    317,
    405,
    462,
    501,
    507,
    523,
    624
   ],
   [
    32,
    71,
    87,
    135,
    141,
    153,
    159,
    175,
    182,
    229,
    244,
    246,
    257,
    260,
    288,
    293,
    294,
    302,
    309,
    318,
    406,
    463,
    502,
    508,
    524,
    625
   ],
   [
    33,
    72,
    88,
    136,
    142,
    154,
    160,
    176,
    183,
    230,
    245,
    247,
    258,
    261,
    289,
    294,
    295,
    303,
    310,
    319,
    407,
    464,
    503,
    509,
    525,
    626
   ],
   [
    34,
    73,
    89,
    137,
    143,
    155,
    161,
    177,
    184,
    231,
    246,
    248,
    259,
    262,
    290,
    295,
    296,
    304,
    311,
    320,
    408,
    465,
    504,
    510,
    526,
    627
   ],
   [
    35,
    74,
    90,
    138,
    144,
    156,
    162,
    178,
    185,
    232,
    247,
    249,
    260,
    263,
    291,
    296,
    297,
    305,
    312,
    321,
    409,
    466,
    505,
    511,
    527,
    628
   ],
   [
    36,
    75,
    91,
    139,
    145,
    157,
    163,
    179,
    186,
    233,
    248,
    250,
    261,
    264,
    292,
    297,
    298,
    306,
    313,
    322,
    410,
    467,
    506,
    512,
    528,
    629
   ],
   [
    37,
    76,
    92,
    140,
    146,
    158,
    164,
    180,
    187,
    234,
    249,
    251,
    262,
    265,
    293,
    298,
    299,
    307,
    314,
    315,
    323,
    411,
    468,
    507,
    513,
    529
   ],
   [
    0,
    38,
    77,
    93,
    141,
    147,
    159,
    165,
    181,
    188,
    235,
    250,
    252,
    263,
    266,
    294,
    299,
    300,
    308,
    316,
    324,
    412,
    469,
    508,
    514,
    530
   ],
   [
    1,
    39,
    78,
    94,
    142,
    148,
    160,
    166,
    182,
    189,
    236,
    251,
    253,
    264,
    267,
    295,
    300,
    301,
    309,
    317,
    325,
    413,
    470,
    509,
    515,
    531
   ],
   [
    2,
    40,
    79,
    95,
    143,
    149,
    161,
    167,
    183,
    190,
    237,
    252,
    254,
    265,
    268,
    296,
    301,
    302,
    310,
    318,
    326,
    414,
    471,
    510,
    516,
    532
   ],
   [
    3,
    41,
    80,
    96,
    144,
    150,
    162,
    168,
    184,
    191,
    238,
    253,
    255,
    266,
    269,
    297,
    302,
    303,
    311,
    319,
    327,
    415,
    472,
    511,
    517,
    533
   ],
   [
    4,
    42,
    81,
    97,
    145,
    151,
    163,
    169,
    185,
    192,
    239,
    254,
    256,
    267,
    270,
    298,
    303,
    304,
    312,
    320,
    328,
    416,
    473,
    512,
    518,
    534
   ],
   [
    5,
    43,
    82,
    98,
    146,
    152,
    164,
    170,
    186,
    193,
    240,
    255,
    257,
    268,
    271,
    299,
    304,
    305,
    313,
    321,
    329,
    417,
    474,
    513,
    519,
    535
   ],
   [
    6,
    44,
    83,
    99,
    147,
    153,
    165,
    171,
    187,
    194,
    241,
    256,
    258,
    269,
    272,
    300,
    305,
    306,
    314,
    322,
    330,
    418,
    475,
    514,
    520,
    536
   ],
   [
    0,
    7,
    45,
    84,
    100,
    148,
    154,
    166,
    172,
    188,
    195,
    242,
    257,
    259,
    270,
    273,
    301,
    306,
    307,
    323,
    331,
    419,
    476,
    515,
    521,
    537
   ],
   [
    1,
    8,
    46,
    85,
    101,
    149,
    155,
    167,
    173,
    189,
    196,
    243,
    258,
    260,
    271,
    274,
    302,
    307,
    308,
    324,
    332,
    420,
    477,
    516,
    522,
    538
   ],
   [
    2,
    9,
    47,
    86,
    102,
    150,
    156,
    168,
    174,
    190,
    197,
    244,
    259,
    261,
    272,
    275,
    303,
    308,
    309,
    325,
    333,
    421,
    478,
    517,
    523,
    539
   ],
   [
    3,
    10,
    48,
    87,
    103,
    151,
    157,
    169,
    175,
    191,
    198,
    245,
    260,
    262,
    273,
    276,
    304,
    309,
    310,
    326,
    334,
    422,
    479,
    518,
    524,
    540
   ],
   [
    4,
    11,
    49,
    88,
    104,
    152,
    158,
    170,
    176,
    192,
    199,
    246,
    261,
    263,
    274,
    277,
    305,
    310,
    311,
    327,
    335,
    423,
    480,
    519,
    525,
    541
   ],
   [
    5,
    12,
    50,
    89,
    105,
    153,
    159,
    171,
    177,
    193,
    200,
    247,
    262,
    264,
    275,
    278,
    306,
    311,
    312,
    328,
    336,
    424,
    481,
    520,
    526,
    542
   ],
   [
    6,
    13,
    51,
    90,
    106,
    154,
    160,
    172,
    178,
    194,
    201,
    248,
    263,
    265,
    276,
    279,
    307,
    312,
    313,
    329,
    337,
    425,
    482,
    521,
    527,
    543
   ],
   [
    7,
    14,
    52,
    91,
    107,
    155,
    161,
    173,
    179,
    195,
    202,
    249,
    264,
    266,
    277,
    280,
    308,
    313,
    314,
    330,
    338,
    426,
    483,
    522,
    528,
    544
   ],
   [
    0,
    8,
    15,
    53,
    92,
    108,
    156,
    162,
    174,
    180,
    196,
    203,
    250,
    265,
    267,
    278,
    281,
    309,
    314,
    331,
    339,
    427,
    484,
    523,
    529,
    545
   ],
   [
    0,
    1,
    9,
    16,
    54,
    93,
    109,
    157,
    163,
    175,
    181,
    197,
    204,
    251,
    266,
    268,
    279,
    282,
    310,
    332,
    340,
    428,
    485,
    524,
    530,
    546
   ],
   [
    1,
    2,
    10,
    17,
    55,
    94,
    110,
    158,
    164,
    176,
    182,
    198,
    205,
    252,
    267,
    269,
    280,
    283,
    311,
    333,
    341,
    429,
    486,
    525,
    531,
    547
   ],
   [
    2,
    3,
    11,
    18,
    56,
    95,
    111,
    159,
    165,
    177,
    183,
    199,
    206,
    253,
    268,
    270,
    281,
    284,
    312,
    334,
    342,
    430,
    487,
    526,
    532,
    548
   ],
   [
    3,
    4,
    12,
    19,
    57,
    96,
    112,
    160,
    166,
    178,
    184,
    200,
    207,
    254,
    269,
    271,
    282,
    285,
    313,
    335,
    343,
    431,
    488,
    527,
    533,
    549
   ],
   [
    4,
    5,
    13,
    20,
    58,
    97,
    113,
    161,
    167,
    179,
    185,
    201,
    208,
    255,
    270,
    272,
    283,
    286,
    314,
    336,
    344,
    432,
    489,
    528,
    534,
    550
   ],
   [
    0,
    5,
    6,
    14,
    21,
    59,
    98,
    114,
    162,
    168,
    180,
    186,
    202,
    209,
    256,
    271,
    273,
    284,
    287,
    337,
    345,
    433,
    490,
    529,
    535,
    551
   ],
   [
    1,
    6,
    7,
    15,
    22,
    60,
    99,
    115,
    163,
    169,
    181,
    187,
    203,
    210,
    257,
    272,
    274,
    285,
    288,
    338,
    346,
    434,
    491,
    530,
    536,
    552
   ],
   [
    2,
    7,
    8,
    16,
    23,
    61,
    100,
    116,
    164,
    170,
    182,
    188,
    204,
    211,
    258,
    273,
    275,
    286,
    289,
    339,
    347,
    435,
    492,
    531,
    537,
    553
   ],
   [
    3,
    8,
    9,
    17,
    24,
    62,
    101,
    117,
    165,
    171,
    183,
    189,
    205,
    212,
    259,
    274,
    276,
    287,
    290,
    340,
    348,
    436,
    493,
    532,
    538,
    554
   ],
   [
    4,
    9,
    10,
    18,
    25,
    63,
    102,
    118,
    166,
    172,
    184,
    190,
    206,
    213,
    260,
    275,
    277,
    288,
    291,
    341,
    349,
    437,
    494,
    533,
    539,
    555
   ],
   [
    5,
    10,
    11,
    19,
    26,
    64,
    103,
    119,
    167,
    173,
    185,
    191,
    207,
    214,
    261,
    276,
    278,
    289,
    292,
    342,
    350,
    438,
    495,
    534,
    540,
    556
   ],
   [
    6,
    11,
    12,
    20,
    27,
    65,
    104,
    120,
    168,
    174,
    186,
    192,
    208,
    215,
    262,
    277,
    279,
    290,
    293,
    343,
    351,
    439,
    496,
    535,
    541,
    557
   ],
   [
    7,
    12,
    13,
    21,
    28,
    66,
    105,
    121,
    169,
    175,
    187,
    193,
    209,
    216,
    263,
    278,
    280,
    291,
    294,
    344,
    352,
    440,
    497,
    536,
    542,
    558
   ],
   [
    8,
    13,
    14,
    22,
    29,
    67,
    106,
    122,
    170,
    176,
    188,
    194,
    210,
    217,
    264,
    279,
    281,
    292,
    295,
    345,
    353,
    441,
    498,
    537,
    543,
    559
   ],
   [
    9,
    14,
    15,
    23,
    30,
    68,
    107,
    123,
    171,
    177,
    189,
    195,
    211,
    218,
    265,
    280,
    282,
    293,
    296,
    346,
    354,
    442,
    499,
    538,
    544,
    560
   ],
   [
    10,
    15,
    16,
    24,
    31,
    69,
    108,
    124,
    172,
    178,
    190,
    196,
    212,
    219,
    266,
    281,
    283,
    294,
    297,
    347,
    355,
    443,
    500,
    539,
    545,
    561
   ],
   [
    11,
    16,
    17,
    25,
    32,
    70,
    109,
    125,
    173,
    179,
    191,
    197,
    213,
    220,
    267,
    282,
    284,
    295,
    298,
    348,
    356,
    444,
    501,
    540,
    546,
    562
   ]
  ],
  "Z": [
   [
    67,
    83,
    89,
    128,
    185,
    273,
    281,
    331,
    334,
    345,
    347,
    362,
    409,
    416,
    432,
    438,
    450,
    456,
    504,
    520,
    559,
    597,
    604,
    612,
    613,
    618
   ],
   [
    68,
    84,
    90,
    129,
    186,
    274,
    282,
    332,
    335,
    346,
    348,
    363,
    410,
    417,
    433,
    439,
    451,
    457,
    505,
    521,
    560,
    598,
    605,
    613,
    614,
    619
   ],
   [
    69,
    85,
    91,
    130,
    187,
    275,
    283,
    333,
    336,
    347,
    349,
    364,
    411,
    418,
    434,
    440,
    452,
    458,
    506,
    522,
    561,
    599,
    606,
    614,
    615,
    620
   ],
   [
    70,
    86,
    92,
    131,
    188,
    276,
    284,
    334,
    337,
    348,
    350,
    365,
    412,
    419,
    435,
    441,
    453,
    459,
    507,
    523,
    562,
    600,
    607,
    615,
    616,
    621
   ],
   [
    71,
    87,
    93,
    132,
    189,
    277,
    285,
    335,
    338,
    349,
    351,
    366,
    413,
    420,
    436,
    442,
    454,
    460,
    508,
    524,
    563,
    601,
    608,
    616,
    617,
    622
   ],
   [
    72,
    88,
    94,
    133,
    190,
    278,
    286,
    336,
    339,
    350,
    352,
    367,
    414,
    421,
    437,
    443,
    455,
    461,
    509,
    525,
    564,
    602,
    609,
    617,
    618,
    623
   ],
   [
    73,
    89,
    95,
    134,
    191,
    279,
    287,
    337,
    340,
    351,
    353,
    368,
    415,
    422,
    438,
    444,
    456,
    462,
    510,
    526,
    565,
    603,
    610,
    618,
    619,
    624
   ],
   [
    74,
    90,
    96,
    135,
    192,
    280,
    288,
    338,
    341,
    352,
    354,
    369,
    416,
    423,
    439,
    445,
    457,
    463,
    511,
    527,
    566,
    604,
    611,
    619,
    620,
    625
   ],
   [
    75,
    91,
    97,
    136,
    193,
    281,
    289,
    339,
    342,
    353,
    355,
    370,
    417,
    424,
    440,
    446,
    458,
    464,
    512,
    528,
    567,
    605,
    612,
    620,
    621,
    626
   ],
   [
    76,
    92,
    98,
    137,
    194,
    282,
    290,
    340,
    343,
    354,
    356,
    371,
    418,
    425,
    441,
    447,
    459,
    465,
    513,
    529,
    568,
    606,
    613,
    621,
    622,
    627
   ],
   [
    77,
    93,
    99,
    138,
    195,
    283,
    291,
    341,
    344,
    355,
    357,
    372,
    419,
    426,
    442,
    448,
    460,
    466,
    514,
    530,
    569,
    607,
    614,
    622,
    623,
    628
   ],
   [
    78,
    94,
    100,
    139,
    196,
    284,
    292,
    342,
    345,
    356,
    358,
    373,
    420,
    427,
    443,
    449,
    461,
    467,
    515,
    531,
    570,
    608,
    615,
    623,
    624,
    629
   ],
   [
    79,
    95,
    101,
    140,
    197,
    285,
    293,
    315,
    343,
    346,
    357,
    359,
    374,
    421,
    428,
    444,
    450,
    462,
    468,
    516,
    532,
    571,
    609,
    616,
    624,
    625
   ],
   [
    80,
    96,
    102,
    141,
    198,
    286,
    294,
    316,
    344,
    347,
    358,
    360,
    375,
    422,
    429,
    445,
    451,
    463,
    469,
    517,
    533,
    572,
    610,
    617,
    625,
    626
   ],
   [
    81,
    97,
    103,
    142,
    199,
    287,
    295,
    317,
    345,
    348,
    359,
    361,
    376,
    423,
    430,
    446,
    452,
    464,
    470,
    518,
    534,
    573,
    611,
    618,
    626,
    627
   ],
   [
    82,
    98,
    104,
    143,
    200,
    288,
    296,
    318,
    346,
    349,
    360,
    362,
    377,
    424,
    431,
    447,
    453,
    465,
    471,
    519,
    535,
    574,
    612,
    619,
    627,
    628
   ],
   [
    83,
    99,
    105,
    144,
    201,
    289,
    297,
    319,
    347,
    350,
    361,
    363,
    378,
    425,
    432,
    448,
    454,
    466,
    472,
    520,
    536,
    575,
    613,
    620,
    628,
    629
   ],
   [
    84,
    100,
    106,
    145,
    202,
    290,
    298,
    315,
    320,
    348,
    351,
    362,
    364,
    379,
    426,
    433,
    449,
    455,
    467,
    473,
    521,
    537,
    576,
    614,
    621,
    629
   ],
   [
    85,
    101,
    107,
    146,
    203,
    291,
    299,
    315,
    316,
    321,
    349,
    352,
    363,
    365,
    380,
    427,
    434,
    450,
    456,
    468,
    474,
    522,
    538,
    577,
    615,
    622
   ],
   [
    86,
    102,
    108,
    147,
    204,
    292,
    300,
    316,
    317,
    322,
    350,
    353,
    364,
    366,
    381,
    428,
    435,
    451,
    457,
    469,
    475,
    523,
    539,
    578,
    616,
    623
   ],
   [
    87,
    103,
    109,
    148,
    205,
    293,
    301,
    317,
    318,
    323,
    351,
    354,
    365,
    367,
    382,
    429,
    436,
    452,
    458,
    470,
    476,
    524,
    540,
    579,
    617,
    624
   ],
   [
    88,
    104,
    110,
    149,
    206,
    294,
    302,
    318,
    319,
    324,
    352,
    355,
    366,
    368,
    383,
    430,
    437,
    453,
    459,
    471,
    477,
    525,
    541,
    580,
    618,
    625
   ],
   [
    89,
    105,
    111,
    150,
    207,
    295,
    303,
    319,
    320,
    325,
    353,
    356,
    367,
    369,
    384,
    431,
    438,
    454,
    460,
    472,
    478,
    526,
    542,
    581,
    619,
    626
   ],
   [
    90,
    106,
    112,
    151,
    208,
    296,
    304,
    320,
    321,
    326,
    354,
    357,
    368,
    370,
    385,
    432,
    439,
    455,
    461,
    473,
    479,
    527,
    543,
    582,
    620,
    627
   ],
   [
    91,
    107,
    113,
    152,
    209,
    297,
    305,
    321,
    322,
    327,
    355,
    358,
    369,
    371,
    386,
    433,
    440,
    456,
    462,
    474,
    480,
    528,
    544,
    583,
    621,
    628
   ],
   [
    92,
    108,
    114,
    153,
    210,
    298,
    306,
    322,
    323,
    328,
    356,
    359,
    370,
    372,
    387,
    434,
    441,
    457,
    463,
    475,
    481,
    529,
    545,
    584,
    622,
    629
   ],
   [
    93,
    109,
    115,
    154,
    211,
    299,
    307,
    315,
    323,
    324,
    329,
    357,
    360,
    371,
    373,
    388,
    435,
    442,
    458,
    464,
    476,
    482,
    530,
    546,
    585,
    623
   ],
   [
    94,
    110,
    116,
    155,
    212,
    300,
    308,
    316,
    324,
    325,
    330,
    358,
    361,
    372,
    374,
    389,
    436,
    443,
    459,
    465,
    477,
    483,
    531,
    547,
    586,
    624
   ],
   [
    95,
    111,
    117,
    156,
    213,
    301,
    309,
    317,
    325,
    326,
    331,
    359,
    362,
    373,
    375,
    390,
    437,
    444,
    460,
    466,
    478,
    484,
    532,
    548,
    587,
    625
   ],
   [
    96,
    112,
    118,
    157,
    214,
    302,
    310,
    318,
    326,
    327,
    332,
    360,
    363,
    374,
    376,
    391,
    438,
    445,
    461,
    467,
    479,
    485,
    533,
    549,
    588,
    626
   ],
   [
    97,
    113,
    119,
    158,
    215,
    303,
    311,
    319,
    327,
    328,
    333,
    361,
    364,
    375,
    377,
    392,
    439,
    446,
    462,
    468,
    480,
    486,
    534,
    550,
    589,
    627
   ],
   [
    98,
    114,
    120,
    159,
    216,
    304,
    312,
    320,
    328,
    329,
    334,
    362,
    365,
    376,
    378,
    393,
    440,
    447,
    463,
    469,
    481,
    487,
    535,
    551,
    590,
    628
   ],
   [
    99,
    115,
    121,
    160,
    217,
    305,
    313,
    321,
    329,
    330,
    335,
    363,
    366,
    377,
    379,
    394,
    441,
    448,
    464,
    470,
    482,
    488,
    536,
    552,
    591,
    629
   ],
   [
    100,
    116,
    122,
    161,
    218,
    306,
    314,
    315,
    322,
    330,
    331,
    336,
    364,
    367,
    378,
    380,
    395,
    442,
    449,
    465,
    471,
    483,
    489,
    537,
    553,
    592
   ],
   [
    0,
    101,
    117,
    123,
    162,
    219,
    307,
    316,
    323,
    331,
    332,
    337,
    365,
    368,
    379,
    381,
    396,
    443,
    450,
    466,
    472,
    484,
    490,
    538,
    554,
    593
   ],
   [
    1,
    102,
    118,
    124,
    163,
    220,
    308,
    317,
    324,
    332,
    333,
    338,
    366,
    369,
    380,
    382,
    397,
    444,
    451,
    467,
    473,
    485,
    491,
    539,
    555,
    594
   ],
   [
    2,
    103,
    119,
    125,
    164,
    221,
    309,
    318,
    325,
    333,
    334,
    339,
    367,
    370,
    381,
    383,
    398,
    445,
    452,
    468,
    474,
    486,
    492,
    540,
    556,
    595
   ],
   [
    3,
    104,
    120,
    126,
    165,
    222,
    310,
    319,
    326,
    334,
    335,
    340,
    368,
    371,
    382,
    384,
    399,
    446,
    453,
    469,
    475,
    487,
    493,
    541,
    557,
    596
   ],
   [
    4,
    105,
    121,
    127,
    166,
    223,
    311,
    320,
    327,
    335,
    336,
    341,
    369,
    372,
    383,
    385,
    400,
    447,
    454,
    470,
    476,
    488,
    494,
    542,
    558,
    597
   ],
   [
    5,
    106,
    122,
    128,
    167,
    224,
    312,
    321,
    328,
    336,
    337,
    342,
    370,
    373,
    384,
    386,
    401,
    448,
    455,
    471,
    477,
    489,
    495,
    543,
    559,
    598
   ],
   [
    6,
    107,
    123,
    129,
    168,
    225,
    313,
    322,
    329,
    337,
    338,
    343,
    371,
    374,
    385,
    387,
    402,
    449,
    456,
    472,
    478,
    490,
    496,
    544,
    560,
    599
   ],
   [
    7,
    108,
    124,
    130,
    169,
    226,
    314,
    323,
    330,
    338,
    339,
    344,
    372,
    375,
    386,
    388,
    403,
    450,
    457,
    473,
    479,
    491,
    497,
    545,
    561,
    600
   ],
   [
    0,
    8,
    109,
    125,
    131,
    170,
    227,
    324,
    331,
    339,
    340,
    345,
    373,
    376,
    387,
    389,
    404,
    451,
    458,
    474,
    480,
    492,
    498,
    546,
    562,
    601
   ],
   [
    1,
    9,
    110,
    126,
    132,
    171,
    228,
    325,
    332,
    340,
    341,
    346,
    374,
    377,
    388,
    390,
    405,
    452,
    459,
    475,
    481,
    493,
    499,
    547,
    563,
    602
   ],
   [
    2,
    10,
    111,
    127,
    133,
    172,
    229,
    326,
    333,
    341,
    342,
    347,
    375,
    378,
    389,
    391,
    406,
    453,
    460,
    476,
    482,
    494,
    500,
    548,
    564,
    603
   ],
   [
    3,
    11,
    112,
    128,
    134,
    173,
    230,
    327,
    334,
    342,
    343,
    348,
    376,
    379,
    390,
    392,
    407,
    454,
    461,
    477,
    483,
    495,
    501,
    549,
    565,
    604
   ],
   [
    4,
    12,
    113,
    129,
    135,
    174,
    231,
    328,
    335,
    343,
    344,
    349,
    377,
    380,
    391,
    393,
    408,
    455,
    462,
    478,
    484,
    496,
    502,
    550,
    566,
    605
   ],
   [
    5,
    13,
    114,
    130,
    136,
    175,
    232,
    329,
    336,
    344,
    345,
    350,
    378,
    381,
    392,
    394,
    409,
    456,
    463,
    479,
    485,
    497,
    503,
    551,
    567,
    606
   ],
   [
    6,
    14,
    115,
    131,
    137,
    176,
    233,
    330,
    337,
    345,
    346,
    351,
    379,
    382,
    393,
    395,
    410,
    457,
    464,
    480,
    486,
    498,
    504,
    552,
    568,
    607
   ],
   [
    7,
    15,
    116,
    132,
    138,
    177,
    234,
    331,
    338,
    346,
    347,
    352,
    380,
    383,
    394,
    396,
    411,
    458,
    465,
    481,
    487,
    499,
    505,
    553,
    569,
    608
   ],
   [
    8,
    16,
    117,
    133,
    139,
    178,
    235,
    332,
    339,
    347,
    348,
    353,
    381,
    384,
    395,
    397,
    412,
    459,
    466,
    482,
    488,
    500,
    506,
    554,
    570,
    609
   ],
   [
    9,
    17,
    118,
    134,
    140,
    179,
    236,
    333,
    340,
    348,
    349,
    354,
    382,
    385,
    396,
    398,
    413,
    460,
    467,
    483,
    489,
    501,
    507,
    555,
    571,
    610
   ],
   [
    10,
    18,
    119,
    135,
    141,
    180,
    237,
    334,
    341,
    349,
    350,
    355,
    383,
    386,
    397,
    399,
    414,
    461,
    468,
    484,
    490,
    502,
    508,
    556,
    572,
    611
   ],
   [
    11,
    19,
    120,
    136,
    142,
    181,
    238,
    335,
    342,
    350,
    351,
    356,
    384,
    387,
    398,
    400,
    415,
    462,
    469,
    485,
    491,
    503,
    509,
    557,
    573,
    612
   ],
   [
    12,
    20,
    121,
    137,
    143,
    182,
    239,
    336,
    343,
    351,
    352,
    357,
    385,
    388,
    399,
    401,
    416,
    463,
    470,
    486,
    492,
    504,
    510,
    558,
    574,
    613
   ],
   [
    13,
    21,
    122,
    138,
    144,
    183,
    240,
    337,
    344,
    352,
    353,
    358,
    386,
    389,
    400,
    402,
    417,
    464,
    471,
    487,
    493,
    505,
    511,
    559,
    575,
    614
   ],
   [
    14,
    22,
    123,
    139,
    145,
    184,
    241,
    338,
    345,
    353,
    354,
    359,
    387,
    390,
    401,
    403,
    418,
    465,
    472,
    488,
    494,
    506,
    512,
    560,
    576,
    615
   ],
   [
    15,
    23,
    124,
    140,
    146,
    185,
    242,
    339,
    346,
    354,
    355,
    360,
    388,
    391,
    402,
    404,
    419,
    466,
    473,
    489,
    495,
    507,
    513,
    561,
    577,
    616
   ],
   [
    16,
    24,
    125,
    141,
    147,
    186,
    243,
    340,
    347,
    355,
    356,
    361,
    389,
    392,
    403,
    405,
    420,
    467,
    474,
    490,
    496,
    508,
    514,
    562,
    578,
    617
   ],
   [
    17,
    25,
    126,
    142,
    148,
    187,
    244,
    341,
    348,
    356,
    357,
    362,
    390,
    393,
    404,
    406,
    421,
    468,
    475,
    491,
    497,
    509,
    515,
    563,
    579,
    618
   ],
   [
    18,
    26,
    127,
    143,
    149,
    188,
    245,
    342,
    349,
    357,
    358,
    363,
    391,
    394,
    405,
    407,
    422,
    469,
    476,
    492,
    498,
    510,
    516,
    564,
    580,
    619
   ],
   [
    19,
    27,
    128,
    144,
    150,
    189,
    246,
    343,
    350,
    358,
    359,
    364,
    392,
    395,
    406,
    408,
    423,
    470,
    477,
    493,
    499,
    511,
    517,
    565,
    581,
    620
   ],
   [
    20,
    28,
    129,
    145,
    151,
    190,
    247,
    344,
    351,
    359,
    360,
    365,
    393,
    396,
    407,
    409,
    424,
    471,
    478,
    494,
    500,
    512,
    518,
    566,
    582,
    621
   ],
   [
    21,
    29,
    130,
    146,
    152,
    191,
    248,
    345,
    352,
    360,
    361,
    366,
    394,
    397,
    408,
    410,
    425,
    472,
    479,
    495,
    501,
    513,
    519,
    567,
    583,
    622
   ],
   [
    22,
    30,
    131,
    147,
    153,
    192,
    249,
    346,
    353,
    361,
    362,
    367,
    395,
    398,
    409,
    411,
    426,
    473,
    480,
    496,
    502,
    514,
    520,
    568,
    584,
    623
   ],
   [
    23,
    31,
    132,
    148,
    154,
    193,
    250,
    347,
    354,
    362,
    363,
    368,
    396,
    399,
    410,
    412,
    427,
    474,
    481,
    497,
    503,
    515,
    521,
    569,
    585,
    624
   ],
   [
    24,
    32,
    133,
    149,
    155,
    194,
    251,
    348,
    355,
    363,
    364,
    369,
    397,
    400,
    411,
    413,
    428,
    475,
    482,
    498,
    504,
    516,
    522,
    570,
    586,
    625
   ],
   [
    25,
    33,
    134,
    150,
    156,
    195,
    252,
    349,
    356,
    364,
    365,
    370,
    398,
    401,
    412,
    414,
    429,
    476,
    483,
    499,
    505,
    517,
    523,
    571,
    587,
    626
   ],
   [
    26,
    34,
    135,
    151,
    157,
    196,
    253,
    350,
    357,
    365,
    366,
    371,
    399,
    402,
    413,
    415,
    430,
    477,
    484,
    500,
    506,
    518,
    524,
    572,
    588,
    627
   ],
   [
    27,
    35,
    136,
    152,
    158,
    197,
    254,
    351,
    358,
    366,
    367,
    372,
    400,
    403,
    414,
    416,
    431,
    478,
    485,
    501,
    507,
    519,
    525,
    573,
    589,
    628
   ],
   [
    28,
    36,
    137,
    153,
    159,
    198,
    255,
    352,
    359,
    367,
    368,
    373,
    401,
    404,
    415,
    417,
    432,
    479,
    486,
    502,
    508,
    520,
    526,
    574,
    590,
    629
   ],
   [
    29,
    37,
    138,
    154,
    160,
    199,
    256,
    315,
    353,
    360,
    368,
    369,
    374,
    402,
    405,
    416,
    418,
    433,
    480,
    487,
    503,
    509,
    521,
    527,
    575,
    591
   ],
   [
    30,
    38,
    139,
    155,
    161,
    200,
    257,
    316,
    354,
    361,
    369,
    370,
    375,
    403,
    406,
    417,
    419,
    434,
    481,
    488,
    504,
    510,
    522,
    528,
    576,
    592
   ],
   [
    31,
    39,
    140,
    156,
    162,
    201,
    258,
    317,
    355,
    362,
    370,
    371,
    376,
    404,
    407,
    418,
    420,
    435,
    482,
    489,
    505,
    511,
    523,
    529,
    577,
    593
   ],
   [
    32,
    40,
    141,
    157,
    163,
    202,
    259,
    318,
    356,
    363,
    371,
    372,
    377,
    405,
    408,
    419,
    421,
    436,
    483,
    490,
    506,
    512,
    524,
    530,
    578,
    594
   ],
   [
    33,
    41,
    142,
    158,
    164,
    203,
    260,
    319,
    357,
    364,
    372,
    373,
    378,
    406,
    409,
    420,
    422,
    437,
    484,
    491,
    507,
    513,
    525,
    531,
    579,
    595
   ],
   [
    34,
    42,
    143,
    159,
    165,
    204,
    261,
    320,
    358,
    365,
    373,
    374,
    379,
    407,
    410,
    421,
    423,
    438,
    485,
    492,
    508,
    514,
    526,
    532,
    580,
    596
   ],
   [
    35,
    43,
    144,
    160,
    166,
    205,
    262,
    321,
    359,
    366,
    374,
    375,
    380,
    408,
    411,
    422,
    424,
    439,
    486,
    493,
    509,
    515,
    527,
    533,
    581,
    597
   ],
   [
    36,
    44,
    145,
    161,
    167,
    206,
    263,
    322,
    360,
    367,
    375,
    376,
    381,
    409,
    412,
    423,
    425,
    440,
    487,
    494,
    510,
    516,
    528,
    534,
    582,
    598
   ],
   [
    37,
    45,
    146,
    162,
    168,
    207,
    264,
    323,
    361,
    368,
    376,
    377,
    382,
    410,
    413,
    424,
    426,
    441,
    488,
    495,
    511,
    517,
    529,
    535,
    583,
    599
   ],
   [
    38,
    46,
    147,
    163,
    169,
    208,
    265,
    324,
    362,
    369,
    377,
    378,
    383,
    411,
    414,
    425,
    427,
    442,
    489,
    496,
    512,
    518,
    530,
    536,
    584,
    600
   ],
   [
    39,
    47,
    148,
    164,
    170,
    209,
    266,
    325,
    363,
    370,
    378,
    379,
    384,
    412,
    415,
    426,
    428,
    443,
    490,
    497,
    513,
    519,
    531,
    537,
    585,
    601
   ],
   [
    40,
    48,
    149,
    165,
    171,
    210,
    267,
    326,
    364,
    371,
    379,
    380,
    385,
    413,
    416,
    427,
    429,
    444,
    491,
    498,
    514,
    520,
    532,
    538,
    586,
    602
   ],
   [
    41,
    49,
    150,
    166,
    172,
    211,
    268,
    327,
    365,
    372,
    380,
    381,
    386,
    414,
    417,
    428,
    430,
    445,
    492,
    499,
    515,
    521,
    533,
    539,
    587,
    603
   ],
   [
    42,
    50,
    151,
    167,
    173,
    212,
    269,
    328,
    366,
    373,
    381,
    382,
    387,
    415,
    418,
    429,
    431,
    446,
    493,
    500,
    516,
    522,
    534,
    540,
    588,
    604
   ],
   [
    43,
    51,
    152,
    168,
    174,
    213,
    270,
    329,
    367,
    374,
    382,
    383,
    388,
    416,
    419,
    430,
    432,
    447,
    494,
    501,
    517,
    523,
    535,
    541,
    589,
    605
   ],
   [
    44,
    52,
    153,
    169,
    175,
    214,
    271,
    330,
    368,
    375,
    383,
    384,
    389,
    417,
    420,
    431,
    433,
    448,
    495,
    502,
    518,
    524,
    536,
    542,
    590,
    606
   ],
   [
    45,
    53,
    154,
    170,
    176,
    215,
    272,
    331,
    369,
    376,
    384,
    385,
    390,
    418,
    421,
    432,
    434,
    449,
    496,
    503,
    519,
    525,
    537,
    543,
    591,
    607
   ],
   [
    46,
    54,
    155,
    171,
    177,
    216,
    273,
    332,
    370,
    377,
    385,
    386,
    391,
    419,
    422,
    433,
    435,
    450,
    497,
    504,
    520,
    526,
    538,
    544,
    592,
    608
   ],
   [
    47,
    55,
    156,
    172,
    178,
    217,
    274,
    333,
    371,
    378,
    386,
    387,
    392,
    420,
    423,
    434,
    436,
    451,
    498,
    505,
    521,
    527,
    539,
    545,
    593,
    609
   ],
   [
    48,
    56,
    157,
    173,
    179,
    218,
    275,
    334,
    372,
    379,
    387,
    388,
    393,
    421,
    424,
    435,
    437,
    452,
    499,
    506,
    522,
    528,
    540,
    546,
    594,
    610
   ],
   [
    49,
    57,
    158,
    174,
    180,
    219,
    276,
    335,
    373,
    380,
    388,
    389,
    394,
    422,
    425,
    436,
    438,
    453,
    500,
    507,
    523,
    529,
    541,
    547,
    595,
    611
   ],
   [
    50,
    58,
    159,
    175,
    181,
    220,
    277,
    336,
    374,
    381,
    389,
    390,
    395,
    423,
    426,
    437,
    439,
    454,
    501,
    508,
    524,
    530,
    542,
    548,
    596,
    612
   ],
   [
    51,
    59,
    160,
    176,
    182,
    221,
    278,
    337,
    375,
    382,
    390,
    391,
    396,
    424,
    427,
    438,
    440,
    455,
    502,
    509,
    525,
    531,
    543,
    549,
    597,
    613
   ],
   [
    52,
    60,
    161,
    177,
    183,
    222,
    279,
    338,
    376,
    383,
    391,
    392,
    397,
    425,
    428,
    439,
    441,
    456,
    503,
    510,
    526,
    532,
    544,
    550,
    598,
    614
   ],
   [
    53,
    61,
    162,
    178,
    184,
    223,
    280,
    339,
    377,
    384,
    392,
    393,
    398,
    426,
    429,
    440,
    442,
    457,
    504,
    511,
    527,
    533,
    545,
    551,
    599,
    615
   ],
   [
    54,
    62,
    163,
    179,
    185,
    224,
    281,
    340,
    378,
    385,
    393,
    394,
    399,
    427,
    430,
    441,
    443,
    458,
    505,
    512,
    528,
    534,
    546,
    552,
    600,
    616
   ],
   [
    55,
    63,
    164,
    180,
    186,
    225,
    282,
    341,
    379,
    386,
    394,
    395,
    400,
    428,
    431,
    442,
    444,
    459,
    506,
    513,
    529,
    535,
    547,
    553,
    601,
    617
   ],
   [
    56,
    64,
    165,
    181,
    187,
    226,
    283,
    342,
    380,
    387,
    395,
    396,
    401,
    429,
    432,
    443,
    445,
    460,
    507,
    514,
    530,
    536,
    548,
    554,
    602,
    618
   ],
   [
    57,
    65,
    166,
    182,
    188,
    227,
    284,
    343,
    381,
    388,
    396,
    397,
    402,
    430,
    433,
    444,
    446,
    461,
    508,
    515,
    531,
    537,
    549,
    555,
    603,
    619
   ],
   [
    58,
    66,
    167,
    183,
    189,
    228,
    285,
    344,
    382,
    389,
    397,
    398,
    403,
    431,
    434,
    445,
    447,
    462,
    509,
    516,
    532,
    538,
    550,
    556,
    604,
    620
   ],
   [
    59,
    67,
    168,
    184,
    190,
    229,
    286,
    345,
    383,
    390,
    398,
    399,
    404,
    432,
    435,
    446,
    448,
    463,
    510,
    517,
    533,
    539,
    551,
    557,
    605,
    621
   ],
   [
    60,
    68,
    169,
    185,
    191,
    230,
    287,
    346,
    384,
    391,
    399,
    400,
    405,
    433,
    436,
    447,
    449,
    464,
    511,
    518,
    534,
    540,
    552,
    558,
    606,
    622
   ],
   [
    61,
    69,
    170,
    186,
    192,
    231,
    288,
    347,
    385,
    392,
    400,
    401,
    406,
    434,
    437,
    448,
    450,
    465,
    512,
    519,
    535,
    541,
    553,
    559,
    607,
    623
   ],
   [
    62,
    70,
    171,
    187,
    193,
    232,
    289,
    348,
    386,
    393,
    401,
    402,
    407,
    435,
    438,
    449,
    451,
    466,
    513,
    520,
    536,
    542,
    554,
    560,
    608,
    624
   ],
   [
    63,
    71,
    172,
    188,
    194,
    233,
    290,
    349,
    387,
    394,
    402,
    403,
    408,
    436,
    439,
    450,
    452,
    467,
    514,
    521,
    537,
    543,
    555,
    561,
    609,
    625
   ],
   [
    64,
    72,
    173,
    189,
    195,
    234,
    291,
    350,
    388,
    395,
    403,
    404,
    409,
    437,
    440,
    451,
    453,
    468,
    515,
    522,
    538,
    544,
    556,
    562,
    610,
    626
   ],
   [
    65,
    73,
    174,
    190,
    196,
    235,
    292,
    351,
    389,
    396,
    404,
    405,
    410,
    438,
    441,
    452,
    454,
    469,
    516,
    523,
    539,
    545,
    557,
    563,
    611,
    627
   ],
   [
    66,
    74,
    175,
    191,
    197,
    236,
    293,
    352,
    390,
    397,
    405,
    406,
    411,
    439,
    442,
    453,
    455,
    470,
    517,
    524,
    540,
    546,
    558,
    564,
    612,
    628
   ],
   [
    67,
    75,
    176,
    192,
    198,
    237,
    294,
    353,
    391,
    398,
    406,
    407,
    412,
    440,
    443,
    454,
    456,
    471,
    518,
    525,
    541,
    547,
    559,
    565,
    613,
    629
   ],
   [
    68,
    76,
    177,
    193,
    199,
    238,
    295,
    315,
    354,
    392,
    399,
    407,
    408,
    413,
    441,
    444,
    455,
    457,
    472,
    519,
    526,
    542,
    548,
    560,
    566,
    614
   ],
   [
    69,
    77,
    178,
    194,
    200,
    239,
    296,
    316,
    355,
    393,
    400,
    408,
    409,
    414,
    442,
    445,
    456,
    458,
    473,
    520,
    527,
    543,
    549,
    561,
    567,
    615
   ],
   [
    70,
    78,
    179,
    195,
    201,
    240,
    297,
    317,
    356,
    394,
    401,
    409,
    410,
    415,
    443,
    446,
    457,
    459,
    474,
    521,
    528,
    544,
    550,
    562,
    568,
    616
   ],
   [
    71,
    79,
    180,
    196,
    202,
    241,
    298,
    318,
    357,
    395,
    402,
    410,
    411,
    416,
    444,
    447,
    458,
    460,
    475,
    522,
    529,
    545,
    551,
    563,
    569,
    617
   ],
   [
    72,
    80,
    181,
    197,
    203,
    242,
    299,
    319,
    358,
    396,
    403,
    411,
    412,
    417,
    445,
    448,
    459,
    461,
    476,
    523,
    530,
    546,
    552,
    564,
    570,
    618
   ],
   [
    73,
    81,
    182,
    198,
    204,
    243,
    300,
    320,
    359,
    397,
    404,
    412,
    413,
    418,
    446,
    449,
    460,
    462,
    477,
    524,
    531,
    547,
    553,
    565,
    571,
    619
   ],
   [
    74,
    82,
    183,
    199,
    205,
    244,
    301,
    321,
    360,
    398,
    405,
    413,
    414,
    419,
    447,
    450,
    461,
    463,
    478,
    525,
    532,
    548,
    554,
    566,
    572,
    620
   ],
   [
    75,
    83,
    184,
    200,
    206,
    245,
    302,
    322,
    361,
    399,
    406,
    414,
    415,
    420,
    448,
    451,
    462,
    464,
    479,
    526,
    533,
    549,
    555,
    567,
    573,
    621
   ],
   [
    76,
    84,
    185,
    201,
    207,
    246,
    303,
    323,
    362,
    400,
    407,
    415,
    416,
    421,
    449,
    452,
    463,
    465,
    480,
    527,
    534,
    550,
    556,
    568,
    574,
    622
   ],
   [
    77,
    85,
    186,
    202,
    208,
    247,
    304,
    324,
    363,
    401,
    408,
    416,
    417,
    422,
    450,
    453,
    464,
    466,
    481,
    528,
    535,
    551,
    557,
    569,
    575,
    623
   ],
   [
    78,
    86,
    187,
    203,
    209,
    248,
    305,
    325,
    364,
    402,
    409,
    417,
    418,
    423,
    451,
    454,
    465,
    467,
    482,
    529,
    536,
    552,
    558,
    570,
    576,
    624
   ],
   [
    79,
    87,
    188,
    204,
    210,
    249,
    306,
    326,
    365,
    403,
    410,
    418,
    419,
    424,
    452,
    455,
    466,
    468,
    483,
    530,
    537,
    553,
    559,
    571,
    577,
    625
   ],
   [
    80,
    88,
    189,
    205,
    211,
    250,
    307,
    327,
    366,
    404,
    411,
    419,
    420,
    425,
    453,
    456,
    467,
    469,
    484,
    531,
    538,
    554,
    560,
    572,
    578,
    626
   ],
   [
    81,
    89,
    190,
    206,
    212,
    251,
    308,
    328,
    367,
    405,
    412,
    420,
    421,
    426,
    454,
    457,
    468,
    470,
    485,
    532,
    539,
    555,
    561,
    573,
    579,
    627
   ],
   [
    82,
    90,
    191,
    207,
    213,
    252,
    309,
    329,
    368,
    406,
    413,
    421,
    422,
    427,
    455,
    458,
    469,
    471,
    486,
    533,
    540,
    556,
    562,
    574,
    580,
    628
   ],
   [
    83,
    91,
    192,
    208,
    214,
    253,
    310,
    330,
    369,
    407,
    414,
    422,
    423,
    428,
    456,
    459,
    470,
    472,
    487,
    534,
    541,
    557,
    563,
    575,
    581,
    629
   ],
   [
    84,
    92,
    193,
    209,
    215,
    254,
    311,
    315,
    331,
    370,
    408,
    415,
    423,
    424,
    429,
    457,
    460,
    471,
    473,
    488,
    535,
    542,
    558,
    564,
    576,
    582
   ],
   [
    85,
    93,
    194,
    210,
    216,
    255,
    312,
    316,
    332,
    371,
    409,
    416,
    424,
    425,
    430,
    458,
    461,
    472,
    474,
    489,
    536,
    543,
    559,
    565,
    577,
    583
   ],
   [
    86,
    94,
    195,
    211,
    217,
    256,
    313,
    317,
    333,
    372,
    410,
    417,
    425,
    426,
    431,
    459,
    462,
    473,
    475,
    490,
    537,
    544,
    560,
    566,
    578,
    584
   ],
   [
    87,
    95,
    196,
    212,
    218,
    257,
    314,
    318,
    334,
    373,
    411,
    418,
    426,
    427,
    432,
    460,
    463,
    474,
    476,
    491,
    538,
    545,
    561,
    567,
    579,
    585
   ],
   [
    0,
    88,
    96,
    197,
    213,
    219,
    258,
    319,
    335,
    374,
    412,
    419,
    427,
    428,
    433,
    461,
    464,
    475,
    477,
    492,
    539,
    546,
    562,
    568,
    580,
    586
   ],
   [
    1,
    89,
    97,
    198,
    214,
    220,
    259,
    320,
    336,
    375,
    413,
    420,
    428,
    429,
    434,
    462,
    465,
    476,
    478,
    493,
    540,
    547,
    563,
    569,
    581,
    587
   ],
   [
    2,
    90,
    98,
    199,
    215,
    221,
    260,
    321,
    337,
    376,
    414,
    421,
    429,
    430,
    435,
    463,
    466,
    477,
    479,
    494,
    541,
    548,
    564,
    570,
    582,
    588
   ],
   [
    3,
    91,
    99,
    200,
    216,
    222,
    261,
    322,
    338,
    377,
    415,
    422,
    430,
    431,
    436,
    464,
    467,
    478,
    480,
    495,
    542,
    549,
    565,
    571,
    583,
    589
   ],
   [
    4,
    92,
    100,
    201,
    217,
    223,
    262,
    323,
    339,
    378,
    416,
    423,
    431,
    432,
    437,
    465,
    468,
    479,
    481,
    496,
    543,
    550,
    566,
    572,
    584,
    590
   ],
   [
    5,
    93,
    101,
    202,
    218,
    224,
    263,
    324,
    340,
    379,
    417,
    424,
    432,
    433,
    438,
    466,
    469,
    480,
    482,
    497,
    544,
    551,
    567,
    573,
    585,
    591
   ],
   [
    6,
    94,
    102,
    203,
    219,
    225,
    264,
    325,
    341,
    380,
    418,
    425,
    433,
    434,
    439,
    467,
    470,
    481,
    483,
    498,
    545,
    552,
    568,
    574,
    586,
    592
   ],
   [
    7,
    95,
    103,
    204,
    220,
    226,
    265,
    326,
    342,
    381,
    419,
    426,
    434,
    435,
    440,
    468,
    471,
    482,
    484,
    499,
    546,
    553,
    569,
    575,
    587,
    593
   ],
   [
    8,
    96,
    104,
    205,
    221,
    227,
    266,
    327,
    343,
    382,
    420,
    427,
    435,
    436,
    441,
    469,
    472,
    483,
    485,
    500,
    547,
    554,
    570,
    576,
    588,
    594
   ],
   [
    9,
    97,
    105,
    206,
    222,
    228,
    267,
    328,
    344,
    383,
    421,
    428,
    436,
    437,
    442,
    470,
    473,
    484,
    486,
    501,
    548,
    555,
    571,
    577,
    589,
    595
   ],
   [
    10,
    98,
    106,
    207,
    223,
    229,
    268,
    329,
    345,
    384,
    422,
    429,
    437,
    438,
    443,
    471,
    474,
    485,
    487,
    502,
    549,
    556,
    572,
    578,
    590,
    596
   ],
   [
    11,
    99,
    107,
    208,
    224,
    230,
    269,
    330,
    346,
    385,
    423,
    430,
    438,
    439,
    444,
    472,
    475,
    486,
    488,
    503,
    550,
    557,
    573,
    579,
    591,
    597
   ],
   [
    12,
    100,
    108,
    209,
    225,
    231,
    270,
    331,
    347,
    386,
    424,
    431,
    439,
    440,
    445,
    473,
    476,
    487,
    489,
    504,
    551,
    558,
    574,
    580,
    592,
    598
   ],
   [
    13,
    101,
    109,
    210,
    226,
    232,
    271,
    332,
    348,
    387,
    425,
    432,
    440,
    441,
    446,
    474,
    477,
    488,
    490,
    505,
    552,
    559,
    575,
    581,
    593,
    599
   ],
   [
    14,
    102,
    110,
    211,
    227,
    233,
    272,
    333,
    349,
    388,
    426,
    433,
    441,
    442,
    447,
    475,
    478,
    489,
    491,
    506,
    553,
    560,
    576,
    582,
    594,
    600
   ],
   [
    15,
    103,
    111,
    212,
    228,
    234,
    273,
    334,
    350,
    389,
    427,
    434,
    442,
    443,
    448,
    476,
    479,
    490,
    492,
    507,
    554,
    561,
    577,
    583,
    595,
    601
   ],
   [
    16,
    104,
    112,
    213,
    229,
    235,
    274,
    335,
    351,
    390,
    428,
    435,
    443,
    444,
    449,
    477,
    480,
    491,
    493,
    508,
    555,
    562,
    578,
    584,
    596,
    602
   ],
   [
    17,
    105,
    113,
    214,
    230,
    236,
    275,
    336,
    352,
    391,
    429,
    436,
    444,
    445,
    450,
    478,
    481,
    492,
    494,
    509,
    556,
    563,
    579,
    585,
    597,
    603
   ],
   [
    18,
    106,
    114,
    215,
    231,
    237,
    276,
    337,
    353,
    392,
    430,
    437,
    445,
    446,
    451,
    479,
    482,
    493,
    495,
    510,
    557,
    564,
    580,
    586,
    598,
    604
   ],
   [
    19,
    107,
    115,
    216,
    232,
    238,
    277,
    338,
    354,
    393,
    431,
    438,
    446,
    447,
    452,
    480,
    483,
    494,
    496,
    511,
    558,
    565,
    581,
    587,
    599,
    605
   ],
   [
    20,
    108,
    116,
    217,
    233,
    239,
    278,
    339,
    355,
    394,
    432,
    439,
    447,
    448,
    453,
    481,
    484,
    495,
    497,
    512,
    559,
    566,
    582,
    588,
    600,
    606
   ],
   [
    21,
    109,
    117,
    218,
    234,
    240,
    279,
    340,
    356,
    395,
    433,
    440,
    448,
    449,
    454,
    482,
    485,
    496,
    498,
    513,
    560,
    567,
    583,
    589,
    601,
    607
   ],
   [
    22,
    110,
    118,
    219,
    235,
    241,
    280,
    341,
    357,
    396,
    434,
    441,
    449,
    450,
    455,
    483,
    486,
    497,
    499,
    514,
    561,
    568,
    584,
    590,
    602,
    608
   ],
   [
    23,
    111,
    119,
    220,
    236,
    242,
    281,
    342,
    358,
    397,
    435,
    442,
    450,
    451,
    456,
    484,
    487,
    498,
    500,
    515,
    562,
    569,
    585,
    591,
    603,
    609
   ],
   [
    24,
    112,
    120,
    221,
    237,
    243,
    282,
    343,
    359,
    398,
    436,
    443,
    451,
    452,
    457,
    485,
    488,
    499,
    501,
    516,
    563,
    570,
    586,
    592,
    604,
    610
   ],
   [
    25,
    113,
    121,
    222,
    238,
    244,
    283,
    344,
    360,
    399,
    437,
    444,
    452,
    453,
    458,
    486,
    489,
    500,
    502,
    517,
    564,
    571,
    587,
    593,
    605,
    611
   ],
   [
    26,
    114,
    122,
    223,
    239,
    245,
    284,
    345,
    361,
    400,
    438,
    445,
    453,
    454,
    459,
    487,
    490,
    501,
    503,
    518,
    565,
    572,
    588,
    594,
    606,
    612
   ],
   [
    27,
    115,
    123,
    224,
    240,
    246,
    285,
    346,
    362,
    401,
    439,
    446,
    454,
    455,
    460,
    488,
    491,
    502,
    504,
    519,
    566,
    573,
    589,
    595,
    607,
    613
   ],
   [
    28,
    116,
    124,
    225,
    241,
    247,
    286,
    347,
    363,
    402,
    440,
    447,
    455,
    456,
    461,
    489,
    492,
    503,
    505,
    520,
    567,
    574,
    590,
    596,
    608,
    614
   ],
   [
    29,
    117,
    125,
    226,
    242,
    248,
    287,
    348,
    364,
    403,
    441,
    448,
    456,
    457,
    462,
    490,
    493,
    504,
    506,
    521,
    568,
    575,
    591,
    597,
    609,
    615
   ],
   [
    30,
    118,
    126,
    227,
    243,
    249,
    288,
    349,
    365,
    404,
    442,
    449,
    457,
    458,
    463,
    491,
    494,
    505,
    507,
    522,
    569,
    576,
    592,
    598,
    610,
    616
   ],
   [
    31,
    119,
    127,
    228,
    244,
    250,
    289,
    350,
    366,
    405,
    443,
    450,
    458,
    459,
    464,
    492,
    495,
    506,
    508,
    523,
    570,
    577,
    593,
    599,
    611,
    617
   ],
   [
    32,
    120,
    128,
    229,
    245,
    251,
    290,
    351,
    367,
    406,
    444,
    451,
    459,
    460,
    465,
    493,
    496,
    507,
    509,
    524,
    571,
    578,
    594,
    600,
    612,
    618
   ],
   [
    33,
    121,
    129,
    230,
    246,
    252,
    291,
    352,
    368,
    407,
    445,
    452,
    460,
    461,
    466,
    494,
    497,
    508,
    510,
    525,
    572,
    579,
    595,
    601,
    613,
    619
   ],
   [
    34,
    122,
    130,
    231,
    247,
    253,
    292,
    353,
    369,
    408,
    446,
    453,
    461,
    462,
    467,
    495,
    498,
    509,
    511,
    526,
    573,
    580,
    596,
    602,
    614,
    620
   ],
   [
    35,
    123,
    131,
    232,
    248,
    254,
    293,
    354,
    370,
    409,
    447,
    454,
    462,
    463,
    468,
    496,
    499,
    510,
    512,
    527,
    574,
    581,
    597,
    603,
    615,
    621
   ],
   [
    36,
    124,
    132,
    233,
    249,
    255,
    294,
    355,
    371,
    410,
    448,
    455,
    463,
    464,
    469,
    497,
    500,
    511,
    513,
    528,
    575,
    582,
    598,
    604,
    616,
    622
   ],
   [
    37,
    125,
    133,
    234,
    250,
    256,
    295,
    356,
    372,
    411,
    449,
    456,
    464,
    465,
    470,
    498,
    501,
    512,
    514,
    529,
    576,
    583,
    599,
    605,
    617,
    623
   ],
   [
    38,
    126,
    134,
    235,
    251,
    257,
    296,
    357,
    373,
    412,
    450,
    457,
    465,
    466,
    471,
    499,
    502,
    513,
    515,
    530,
    577,
    584,
    600,
    606,
    618,
    624
   ],
   [
    39,
    127,
    135,
    236,
    252,
    258,
    297,
    358,
    374,
    413,
    451,
    458,
    466,
    467,
    472,
    500,
    503,
    514,
    516,
    531,
    578,
    585,
    601,
    607,
    619,
    625
   ],
   [
    40,
    128,
    136,
    237,
    253,
    259,
    298,
    359,
    375,
    414,
    452,
    459,
    467,
    468,
    473,
    501,
    504,
    515,
    517,
    532,
    579,
    586,
    602,
    608,
    620,
    626
   ],
   [
    41,
    129,
    137,
    238,
    254,
    260,
    299,
    360,
    376,
    415,
    453,
    460,
    468,
    469,
    474,
    502,
    505,
    516,
    518,
    533,
    580,
    587,
    603,
    609,
    621,
    627
   ],
   [
    42,
    130,
    138,
    239,
    255,
    261,
    300,
    361,
    377,
    416,
    454,
    461,
    469,
    470,
    475,
    503,
    506,
    517,
    519,
    534,
    581,
    588,
    604,
    610,
    622,
    628
   ],
   [
    43,
    131,
    139,
    240,
    256,
    262,
    301,
    362,
    378,
    417,
    455,
    462,
    470,
    471,
    476,
    504,
    507,
    518,
    520,
    535,
    582,
    589,
    605,
    611,
    623,
    629
   ],
   [
    44,
    132,
    140,
    241,
    257,
    263,
    302,
    315,
    363,
    379,
    418,
    456,
    463,
    471,
    472,
    477,
    505,
    508,
    519,
    521,
    536,
    583,
    590,
    606,
    612,
    624
   ],
   [
    45,
    133,
    141,
    242,
    258,
    264,
    303,
    316,
    364,
    380,
    419,
    457,
    464,
    472,
    473,
    478,
    506,
    509,
    520,
    522,
    537,
    584,
    591,
    607,
    613,
    625
   ],
   [
    46,
    134,
    142,
    243,
    259,
    265,
    304,
    317,
    365,
    381,
    420,
    458,
    465,
    473,
    474,
    479,
    507,
    510,
    521,
    523,
    538,
    585,
    592,
    608,
    614,
    626
   ],
   [
    47,
    135,
    143,
    244,
    260,
    266,
    305,
    318,
    366,
    382,
    421,
    459,
    466,
    474,
    475,
    480,
    508,
    511,
    522,
    524,
    539,
    586,
    593,
    609,
    615,
    627
   ],
   [
    48,
    136,
    144,
    245,
    261,
    267,
    306,
    319,
    367,
    383,
    422,
    460,
    467,
    475,
    476,
    481,
    509,
    512,
    523,
    525,
    540,
    587,
    594,
    610,
    616,
    628
   ],
   [
    49,
    137,
    145,
    246,
    262,
    268,
    307,
    320,
    368,
    384,
    423,
    461,
    468,
    476,
    477,
    482,
    510,
    513,
    524,
    526,
    541,
    588,
    595,
    611,
    617,
    629
   ],
   [
    50,
    138,
    146,
    247,
    263,
    269,
    308,
    315,
    321,
    369,
    385,
    424,
    462,
    469,
    477,
    478,
    483,
    511,
    514,
    525,
    527,
    542,
    589,
    596,
    612,
    618
   ],
   [
    51,
    139,
    147,
    248,
    264,
    270,
    309,
    316,
    322,
    370,
    386,
    425,
    463,
    470,
    478,
    479,
    484,
    512,
    515,
    526,
    528,
    543,
    590,
    597,
    613,
    619
   ],
   [
    52,
    140,
    148,
    249,
    265,
    271,
    310,
    317,
    323,
    371,
    387,
    426,
    464,
    471,
    479,
    480,
    485,
    513,
    516,
    527,
    529,
    544,
    591,
    598,
    614,
    620
   ],
   [
    53,
    141,
    149,
    250,
    266,
    272,
    311,
    318,
    324,
    372,
    388,
    427,
    465,
    472,
    480,
    481,
    486,
    514,
    517,
    528,
    530,
    545,
    592,
    599,
    615,
    621
   ],
   [
    54,
    142,
    150,
    251,
    267,
    273,
    312,
    319,
    325,
    373,
    389,
    428,
    466,
    473,
    481,
    482,
    487,
    515,
    518,
    529,
    531,
    546,
    593,
    600,
    616,
    622
   ],
   [
    55,
    143,
    151,
    252,
    268,
    274,
    313,
    320,
    326,
    374,
    390,
    429,
    467,
    474,
    482,
    483,
    488,
    516,
    519,
    530,
    532,
    547,
    594,
    601,
    617,
    623
   ],
   [
    56,
    144,
    152,
    253,
    269,
    275,
    314,
    321,
    327,
    375,
    391,
    430,
    468,
    475,
    483,
    484,
    489,
    517,
    520,
    531,
    533,
    548,
    595,
    602,
    618,
    624
   ],
   [
    0,
    57,
    145,
    153,
    254,
    270,
    276,
    322,
    328,
    376,
    392,
    431,
    469,
    476,
    484,
    485,
    490,
    518,
    521,
    532,
    534,
    549,
    596,
    603,
    619,
    625
   ],
   [
    1,
    58,
    146,
    154,
    255,
    271,
    277,
    323,
    329,
    377,
    393,
    432,
    470,
    477,
    485,
    486,
    491,
    519,
    522,
    533,
    535,
    550,
    597,
    604,
    620,
    626
   ],
   [
    2,
    59,
    147,
    155,
    256,
    272,
    278,
    324,
    330,
    378,
    394,
    433,
    471,
    478,
    486,
    487,
    492,
    520,
    523,
    534,
    536,
    551,
    598,
    605,
    621,
    627
   ],
   [
    3,
    60,
    148,
    156,
    257,
    273,
    279,
    325,
    331,
    379,
    395,
    434,
    472,
    479,
    487,
    488,
    493,
    521,
    524,
    535,
    537,
    552,
    599,
    606,
    622,
    628
   ],
   [
    4,
    61,
    149,
    157,
    258,
    274,
    280,
    326,
    332,
    380,
    396,
    435,
    473,
    480,
    488,
    489,
    494,
    522,
    525,
    536,
    538,
    553,
    600,
    607,
    623,
    629
   ],
   [
    5,
    62,
    150,
    158,
    259,
    275,
    281,
    315,
    327,
    333,
    381,
    397,
    436,
    474,
    481,
    489,
    490,
    495,
    523,
    526,
    537,
    539,
    554,
    601,
    608,
    624
   ],
   [
    6,
    63,
    151,
    159,
    260,
    276,
    282,
    316,
    328,
    334,
    382,
    398,
    437,
    475,
    482,
    490,
    491,
    496,
    524,
    527,
    538,
    540,
    555,
    602,
    609,
    625
   ],
   [
    7,
    64,
    152,
    160,
    261,
    277,
    283,
    317,
    329,
    335,
    383,
    399,
    438,
    476,
    483,
    491,
    492,
    497,
    525,
    528,
    539,
    541,
    556,
    603,
    610,
    626
   ],
   [
    8,
    65,
    153,
    161,
    262,
    278,
    284,
    318,
    330,
    336,
    384,
    400,
    439,
    477,
    484,
    492,
    493,
    498,
    526,
    529,
    540,
    542,
    557,
    604,
    611,
    627
   ],
   [
    9,
    66,
    154,
    162,
    263,
    279,
    285,
    319,
    331,
    337,
    385,
    401,
    440,
    478,
    485,
    493,
    494,
    499,
    527,
    530,
    541,
    543,
    558,
    605,
    612,
    628
   ],
   [
    10,
    67,
    155,
    163,
    264,
    280,
    286,
    320,
    332,
    338,
    386,
    402,
    441,
    479,
    486,
    494,
    495,
    500,
    528,
    531,
    542,
    544,
    559,
    606,
    613,
    629
   ],
   [
    11,
    68,
    156,
    164,
    265,
    281,
    287,
    315,
    321,
    333,
    339,
    387,
    403,
    442,
    480,
    487,
    495,
    496,
    501,
    529,
    532,
    543,
    545,
    560,
    607,
    614
   ],
   [
    12,
    69,
    157,
    165,
    266,
    282,
    288,
    316,
    322,
    334,
    340,
    388,
    404,
    443,
    481,
    488,
    496,
    497,
    502,
    530,
    533,
    544,
    546,
    561,
    608,
    615
   ],
   [
    13,
    70,
    158,
    166,
    267,
    283,
    289,
    317,
    323,
    335,
    341,
    389,
    405,
    444,
    482,
    489,
    497,
    498,
    503,
    531,
    534,
    545,
    547,
    562,
    609,
    616
   ],
   [
    14,
    71,
    159,
    167,
    268,
    284,
    290,
    318,
    324,
    336,
    342,
    390,
    406,
    445,
    483,
    490,
    498,
    499,
    504,
    532,
    535,
    546,
    548,
    563,
    610,
    617
   ],
   [
    15,
    72,
    160,
    168,
    269,
    285,
    291,
    319,
    325,
    337,
    343,
    391,
    407,
    446,
    484,
    491,
    499,
    500,
    505,
    533,
    536,
    547,
    549,
    564,
    611,
    618
   ],
   [
    16,
    73,
    161,
    169,
    270,
    286,
    292,
    320,
    326,
    338,
    344,
    392,
    408,
    447,
    485,
    492,
    500,
    501,
    506,
    534,
    537,
    548,
    550,
    565,
    612,
    619
   ],
   [
    17,
    74,
    162,
    170,
    271,
    287,
    293,
    321,
    327,
    339,
    345,
    393,
    409,
    448,
    486,
    493,
    501,
    502,
    507,
    535,
    538,
    549,
    551,
    566,
    613,
    620
   ],
   [
    18,
    75,
    163,
    171,
    272,
    288,
    294,
    322,
    328,
    340,
    346,
    394,
    410,
    449,
    487,
    494,
    502,
    503,
    508,
    536,
    539,
    550,
    552,
    567,
    614,
    621
   ],
   [
    19,
    76,
    164,
    172,
    273,
    289,
    295,
    323,
    329,
    341,
    347,
    395,
    411,
    450,
    488,
    495,
    503,
    504,
    509,
    537,
    540,
    551,
    553,
    568,
    615,
    622
   ],
   [
    20,
    77,
    165,
    173,
    274,
    290,
    296,
    324,
    330,
    342,
    348,
    396,
    412,
    451,
    489,
    496,
    504,
    505,
    510,
    538,
    541,
    552,
    554,
    569,
    616,
    623
   ],
   [
    21,
    78,
    166,
    174,
    275,
    291,
    297,
    325,
    331,
    343,
    349,
    397,
    413,
    452,
    490,
    497,
    505,
    506,
    511,
    539,
    542,
    553,
    555,
    570,
    617,
    624
   ],
   [
    22,
    79,
    167,
    175,
    276,
    292,
    298,
    326,
    332,
    344,
    350,
    398,
    414,
    453,
    491,
    498,
    506,
    507,
    512,
    540,
    543,
    554,
    556,
    571,
    618,
    625
   ],
   [
    23,
    80,
    168,
    176,
    277,
    293,
    299,
    327,
    333,
    345,
    351,
    399,
    415,
    454,
    492,
    499,
    507,
    508,
    513,
    541,
    544,
    555,
    557,
    572,
    619,
    626
   ],
   [
    24,
    81,
    169,
    177,
    278,
    294,
    300,
    328,
    334,
    346,
    352,
    400,
    416,
    455,
    493,
    500,
    508,
    509,
    514,
    542,
    545,
    556,
    558,
    573,
    620,
    627
   ],
   [
    25,
    82,
    170,
    178,
    279,
    295,
    301,
    329,
    335,
    347,
    353,
    401,
    417,
    456,
    494,
    501,
    509,
    510,
    515,
    543,
    546,
    557,
    559,
    574,
    621,
    628
   ],
   [
    26,
    83,
    171,
    179,
    280,
    296,
    302,
    330,
    336,
    348,
    354,
    402,
    418,
    457,
    495,
    502,
    510,
    511,
    516,
    544,
    547,
    558,
    560,
    575,
    622,
    629
   ],
   [
    27,
    84,
    172,
    180,
    281,
    297,
    303,
    315,
    331,
    337,
    349,
    355,
    403,
    419,
    458,
    496,
    503,
    511,
    512,
    517,
    545,
    548,
    559,
    561,
    576,
    623
   ],
   [
    28,
    85,
    173,
    181,
    282,
    298,
    304,
    316,
    332,
    338,
    350,
    356,
    404,
    420,
    459,
    497,
    504,
    512,
    513,
    518,
    546,
    549,
    560,
    562,
    577,
    624
   ],
   [
    29,
    86,
    174,
    182,
    283,
    299,
    305,
    317,
    333,
    339,
    351,
    357,
    405,
    421,
    460,
    498,
    505,
    513,
    514,
    519,
    547,
    550,
    561,
    563,
    578,
    625
   ],
   [
    30,
    87,
    175,
    183,
    284,
    300,
    306,
    318,
    334,
    340,
    352,
    358,
    406,
    422,
    461,
    499,
    506,
    514,
    515,
    520,
    548,
    551,
    562,
    564,
    579,
    626
   ],
   [
    31,
    88,
    176,
    184,
    285,
    301,
    307,
    319,
    335,
    341,
    353,
    359,
    407,
    423,
    462,
    500,
    507,
    515,
    516,
    521,
    549,
    552,
    563,
    565,
    580,
    627
   ],
   [
    32,
    89,
    177,
    185,
    286,
    302,
    308,
    320,
    336,
    342,
    354,
    360,
    408,
    424,
    463,
    501,
    508,
    516,
    517,
    522,
    550,
    553,
    564,
    566,
    581,
    628
   ],
   [
    33,
    90,
    178,
    186,
    287,
    303,
    309,
    321,
    337,
    343,
    355,
    361,
    409,
    425,
    464,
    502,
    509,
    517,
    518,
    523,
    551,
    554,
    565,
    567,
    582,
    629
   ],
   [
    34,
    91,
    179,
    187,
    288,
    304,
    310,
    315,
    322,
    338,
    344,
    356,
    362,
    410,
    426,
    465,
    503,
    510,
    518,
    519,
    524,
    552,
    555,
    566,
    568,
    583
   ],
   [
    35,
    92,
    180,
    188,
    289,
    305,
    311,
    316,
    323,
    339,
    345,
    357,
    363,
    411,
    427,
    466,
    504,
    511,
    519,
    520,
    525,
    553,
    556,
    567,
    569,
    584
   ],
   [
    36,
    93,
    181,
    189,
    290,
    306,
    312,
    317,
    324,
    340,
    346,
    358,
    364,
    412,
    428,
    467,
    505,
    512,
    520,
    521,
    526,
    554,
    557,
    568,
    570,
    585
   ],
   [
    37,
    94,
    182,
    190,
    291,
    307,
    313,
    318,
    325,
    341,
    347,
    359,
    365,
    413,
    429,
    468,
    506,
    513,
    521,
    522,
    527,
    555,
    558,
    569,
    571,
    586
   ],
   [
    38,
    95,
    183,
    191,
    292,
    308,
    314,
    319,
    326,
    342,
    348,
    360,
    366,
    414,
    430,
    469,
    507,
    514,
    522,
    523,
    528,
    556,
    559,
    570,
    572,
    587
   ],
   [
    0,
    39,
    96,
    184,
    192,
    293,
    309,
    320,
    327,
    343,
    349,
    361,
    367,
    415,
    431,
    470,
    508,
    515,
    523,
    524,
    529,
    557,
    560,
    571,
    573,
    588
   ],
   [
    1,
    40,
    97,
    185,
    193,
    294,
    310,
    321,
    328,
    344,
    350,
    362,
    368,
    416,
    432,
    471,
    509,
    516,
    524,
    525,
    530,
    558,
    561,
    572,
    574,
    589
   ],
   [
    2,
    41,
    98,
    186,
    194,
    295,
    311,
    322,
    329,
    345,
    351,
    363,
    369,
    417,
    433,
    472,
    510,
    517,
    525,
    526,
    531,
    559,
    562,
    573,
    575,
    590
   ],
   [
    3,
    42,
    99,
    187,
    195,
    296,
    312,
    323,
    330,
    346,
    352,
    364,
    370,
    418,
    434,
    473,
    511,
    518,
    526,
    527,
    532,
    560,
    563,
    574,
    576,
    591
   ],
   [
    4,
    43,
    100,
    188,
    196,
    297,
    313,
    324,
    331,
    347,
    353,
    365,
    371,
    419,
    435,
    474,
    512,
    519,
    527,
    528,
    533,
    561,
    564,
    575,
    577,
    592
   ],
   [
    5,
    44,
    101,
    189,
    197,
    298,
    314,
    325,
    332,
    348,
    354,
    366,
    372,
    420,
    436,
    475,
    513,
    520,
    528,
    529,
    534,
    562,
    565,
    576,
    578,
    593
   ],
   [
    0,
    6,
    45,
    102,
    190,
    198,
    299,
    326,
    333,
    349,
    355,
    367,
    373,
    421,
    437,
    476,
    514,
    521,
    529,
    530,
    535,
    563,
    566,
    577,
    579,
    594
   ],
   [
    1,
    7,
    46,
    103,
    191,
    199,
    300,
    327,
    334,
    350,
    356,
    368,
    374,
    422,
    438,
    477,
    515,
    522,
    530,
    531,
    536,
    564,
    567,
    578,
    580,
    595
   ],
   [
    2,
    8,
    47,
    104,
    192,
    200,
    301,
    328,
    335,
    351,
    357,
    369,
    375,
    423,
    439,
    478,
    516,
    523,
    531,
    532,
    537,
    565,
    568,
    579,
    581,
    596
   ],
   [
    3,
    9,
    48,
    105,
    193,
    201,
    302,
    329,
    336,
    352,
    358,
    370,
    376,
    424,
    440,
    479,
    517,
    524,
    532,
    533,
    538,
    566,
    569,
    580,
    582,
    597
   ],
   [
    4,
    10,
    49,
    106,
    194,
    202,
    303,
    330,
    337,
    353,
    359,
    371,
    377,
    425,
    441,
    480,
    518,
    525,
    533,
    534,
    539,
    567,
    570,
    581,
    583,
    598
   ],
   [
    5,
    11,
    50,
    107,
    195,
    203,
    304,
    331,
    338,
    354,
    360,
    372,
    378,
    426,
    442,
    481,
    519,
    526,
    534,
    535,
    540,
    568,
    571,
    582,
    584,
    599
   ],
   [
    6,
    12,
    51,
    108,
    196,
    204,
    305,
    332,
    339,
    355,
    361,
    373,
    379,
    427,
    443,
    482,
    520,
    527,
    535,
    536,
    541,
    569,
    572,
    583,
    585,
    600
   ],
   [
    7,
    13,
    52,
    109,
    197,
    205,
    306,
    333,
    340,
    356,
    362,
    374,
    380,
    428,
    444,
    483,
    521,
    528,
    536,
    537,
    542,
    570,
    573,
    584,
    586,
    601
   ],
   [
    8,
    14,
    53,
    110,
    198,
    206,
    307,
    334,
    341,
    357,
    363,
    375,
    381,
    429,
    445,
    484,
    522,
    529,
    537,
    538,
    543,
    571,
    574,
    585,
    587,
    602
   ],
   [
    9,
    15,
    54,
    111,
    199,
    207,
    308,
    335,
    342,
    358,
    364,
    376,
    382,
    430,
    446,
    485,
    523,
    530,
    538,
    539,
    544,
    572,
    575,
    586,
    588,
    603
   ],
   [
    10,
    16,
    55,
    112,
    200,
    208,
    309,
    336,
    343,
    359,
    365,
    377,
    383,
    431,
    447,
    486,
    524,
    531,
    539,
    540,
    545,
    573,
    576,
    587,
    589,
    604
   ],
   [
    11,
    17,
    56,
    113,
    201,
    209,
    310,
    337,
    344,
    360,
    366,
    378,
    384,
    432,
    448,
    487,
    525,
    532,
    540,
    541,
    546,
    574,
    577,
    588,
    590,
    605
   ],
   [
    12,
    18,
    57,
    114,
    202,
    210,
    311,
    338,
    345,
    361,
    367,
    379,
    385,
    433,
    449,
    488,
    526,
    533,
    541,
    542,
    547,
    575,
    578,
    589,
    591,
    606
   ],
   [
    13,
    19,
    58,
    115,
    203,
    211,
    312,
    339,
    346,
    362,
    368,
    380,
    386,
    434,
    450,
    489,
    527,
    534,
    542,
    543,
    548,
    576,
    579,
    590,
    592,
    607
   ],
   [
    14,
    20,
    59,
    116,
    204,
    212,
    313,
    340,
    347,
    363,
    369,
    381,
    387,
    435,
    451,
    490,
    528,
    535,
    543,
    544,
    549,
    577,
    580,
    591,
    593,
    608
   ],
   [
    15,
    21,
    60,
    117,
    205,
    213,
    314,
    341,
    348,
    364,
    370,
    382,
    388,
    436,
    452,
    491,
    529,
    536,
    544,
    545,
    550,
    578,
    581,
    592,
    594,
    609
   ],
   [
    0,
    16,
    22,
    61,
    118,
    206,
    214,
    342,
    349,
    365,
    371,
    383,
    389,
    437,
    453,
    492,
    530,
    537,
    545,
    546,
    551,
    579,
    582,
    593,
    595,
    610
   ],
   [
    1,
    17,
    23,
    62,
    119,
    207,
    215,
    343,
    350,
    366,
    372,
    384,
    390,
    438,
    454,
    493,
    531,
    538,
    546,
    547,
    552,
    580,
    583,
    594,
    596,
    611
   ],
   [
    2,
    18,
    24,
    63,
    120,
    208,
    216,
    344,
    351,
    367,
    373,
    385,
    391,
    439,
    455,
    494,
    532,
    539,
    547,
    548,
    553,
    581,
    584,
    595,
    597,
    612
   ],
   [
    3,
    19,
    25,
    64,
    121,
    209,
    217,
    345,
    352,
    368,
    374,
    386,
    392,
    440,
    456,
    495,
    533,
    540,
    548,
    549,
    554,
    582,
    585,
    596,
    598,
    613
   ],
   [
    4,
    20,
    26,
    65,
    122,
    210,
    218,
    346,
    353,
    369,
    375,
    387,
    393,
    441,
    457,
    496,
    534,
    541,
    549,
    550,
    555,
    583,
    586,
    597,
    599,
    614
   ],
   [
    5,
    21,
    27,
    66,
    123,
    211,
    219,
    347,
    354,
    370,
    376,
    388,
    394,
    442,
    458,
    497,
    535,
    542,
    550,
    551,
    556,
    584,
    587,
    598,
    600,
    615
   ],
   [
    6,
    22,
    28,
    67,
    124,
    212,
    220,
    348,
    355,
    371,
    377,
    389,
    395,
    443,
    459,
    498,
    536,
    543,
    551,
    552,
    557,
    585,
    588,
    599,
    601,
    616
   ],
   [
    7,
    23,
    29,
    68,
    125,
    213,
    221,
    349,
    356,
    372,
    378,
    390,
    396,
    444,
    460,
    499,
    537,
    544,
    552,
    553,
    558,
    586,
    589,
    600,
    602,
    617
   ],
   [
    8,
    24,
    30,
    69,
    126,
    214,
    222,
    350,
    357,
    373,
    379,
    391,
    397,
    445,
    461,
    500,
    538,
    545,
    553,
    554,
    559,
    587,
    590,
    601,
    603,
    618
   ],
   [
    9,
    25,
    31,
    70,
    127,
    215,
    223,
    351,
    358,
    374,
    380,
    392,
    398,
    446,
    462,
    501,
    539,
    546,
    554,
    555,
    560,
    588,
    591,
    602,
    604,
    619
   ],
   [
    10,
    26,
    32,
    71,
    128,
    216,
    224,
    352,
    359,
    375,
    381,
    393,
    399,
    447,
    463,
    502,
    540,
    547,
    555,
    556,
    561,
    589,
    592,
    603,
    605,
    620
   ],
   [
    11,
    27,
    33,
    72,
    129,
    217,
    225,
    353,
    360,
    376,
    382,
    394,
    400,
    448,
    464,
    503,
    541,
    548,
    556,
    557,
    562,
    590,
    593,
    604,
    606,
    621
   ],
   [
    12,
    28,
    34,
    73,
    130,
    218,
    226,
    354,
    361,
    377,
    383,
    395,
    401,
    449,
    465,
    504,
    542,
    549,
    557,
    558,
    563,
    591,
    594,
    605,
    607,
    622
   ],
   [
    13,
    29,
    35,
    74,
    131,
    219,
    227,
    355,
    362,
    378,
    384,
    396,
    402,
    450,
    466,
    505,
    543,
    550,
    558,
    559,
    564,
    592,
    595,
    606,
    608,
    623
   ],
   [
    14,
    30,
    36,
    75,
    132,
    220,
    228,
    356,
    363,
    379,
    385,
    397,
    403,
    451,
    467,
    506,
    544,
    551,
    559,
    560,
    565,
    593,
    596,
    607,
    609,
    624
   ],
   [
    15,
    31,
    37,
    76,
    133,
    221,
    229,
    357,
    364,
    380,
    386,
    398,
    404,
    452,
    468,
    507,
    545,
    552,
    560,
    561,
    566,
    594,
    597,
    608,
    610,
    625
   ],
   [
    16,
    32,
    38,
    77,
    134,
    222,
    230,
    358,
    365,
    381,
    387,
    399,
    405,
    453,
    469,
    508,
    546,
    553,
    561,
    562,
    567,
    595,
    598,
    609,
    611,
    626
   ],
   [
    17,
    33,
    39,
    78,
    135,
    223,
    231,
    359,
    366,
    382,
    388,
    400,
    406,
    454,
    470,
    509,
    547,
    554,
    562,
    563,
    568,
    596,
    599,
    610,
    612,
    627
   ],
   [
    18,
    34,
    40,
    79,
    136,
    224,
    232,
    360,
    367,
    383,
    389,
    401,
    407,
    455,
    471,
    510,
    548,
    555,
    563,
    564,
    569,
    597,
    600,
    611,
    613,
    628
   ],
   [
    19,
    35,
    41,
    80,
    137,
    225,
    233,
    361,
    368,
    384,
    390,
    402,
    408,
    456,
    472,
    511,
    549,
    556,
    564,
    565,
    570,
    598,
    601,
    612,
    614,
    629
   ],
   [
    20,
    36,
    42,
    81,
    138,
    226,
    234,
    315,
    362,
    369,
    385,
    391,
    403,
    409,
    457,
    473,
    512,
    550,
    557,
    565,
    566,
    571,
    599,
    602,
    613,
    615
   ],
   [
    21,
    37,
    43,
    82,
    139,
    227,
    235,
    316,
    363,
    370,
    386,
    392,
    404,
    410,
    458,
    474,
    513,
    551,
    558,
    566,
    567,
    572,
    600,
    603,
    614,
    616
   ],
   [
    22,
    38,
    44,
    83,
    140,
    228,
    236,
    317,
    364,
    371,
    387,
    393,
    405,
    411,
    459,
    475,
    514,
    552,
    559,
    567,
    568,
    573,
    601,
    604,
    615,
    617
   ],
   [
    23,
    39,
    45,
    84,
    141,
    229,
    237,
    318,
    365,
    372,
    388,
    394,
    406,
    412,
    460,
    476,
    515,
    553,
    560,
    568,
    569,
    574,
    602,
    605,
    616,
    618
   ],
   [
    24,
    40,
    46,
    85,
    142,
    230,
    238,
    319,
    366,
    373,
    389,
    395,
    407,
    413,
    461,
    477,
    516,
    554,
    561,
    569,
    570,
    575,
    603,
    606,
    617,
    619
   ],
   [
    25,
    41,
    47,
    86,
    143,
    231,
    239,
    320,
    367,
    374,
    390,
    396,
    408,
    414,
    462,
    478,
    517,
    555,
    562,
    570,
    571,
    576,
    604,
    607,
    618,
    620
   ],
   [
    26,
    42,
    48,
    87,
    144,
    232,
    240,
    321,
    368,
    375,
    391,
    397,
    409,
    415,
    463,
    479,
    518,
    556,
    563,
    571,
    572,
    577,
    605,
    608,
    619,
    621
   ],
   [
    27,
    43,
    49,
    88,
    145,
    233,
    241,
    322,
    369,
    376,
    392,
    398,
    410,
    416,
    464,
    480,
    519,
    557,
    564,
    572,
    573,
    578,
    606,
    609,
    620,
    622
   ],
   [
    28,
    44,
    50,
    89,
    146,
    234,
    242,
    323,
    370,
    377,
    393,
    399,
    411,
    417,
    465,
    481,
    520,
    558,
    565,
    573,
    574,
    579,
    607,
    610,
    621,
    623
   ],
   [
    29,
    45,
    51,
    90,
    147,
    235,
    243,
    324,
    371,
    378,
    394,
    400,
    412,
    418,
    466,
    482,
    521,
    559,
    566,
    574,
    575,
    580,
    608,
    611,
    622,
    624
   ],
   [
    30,
    46,
    52,
    91,
    148,
    236,
    244,
    325,
    372,
    379,
    395,
    401,
    413,
    419,
    467,
    483,
    522,
    560,
    567,
    575,
    576,
    581,
    609,
    612,
    623,
    625
   ],
   [
    31,
    47,
    53,
    92,
    149,
    237,
    245,
    326,
    373,
    380,
    396,
    402,
    414,
    420,
    468,
    484,
    523,
    561,
    568,
    576,
    577,
    582,
    610,
    613,
    624,
    626
   ],
   [
    32,
    48,
    54,
    93,
    150,
    238,
    246,
    327,
    374,
    381,
    397,
    403,
    415,
    421,
    469,
    485,
    524,
    562,
    569,
    577,
    578,
    583,
    611,
    614,
    625,
    627
   ],
   [
    33,
    49,
    55,
    94,
    151,
    239,
    247,
    328,
    375,
    382,
    398,
    404,
    416,
    422,
    470,
    486,
    525,
    563,
    570,
    578,
    579,
    584,
    612,
    615,
    626,
    628
   ],
   [
    34,
    50,
    56,
    95,
    152,
    240,
    248,
    329,
    376,
    383,
    399,
    405,
    417,
    423,
    471,
    487,
    526,
    564,
    571,
    579,
    580,
    585,
    613,
    616,
    627,
    629
   ],
   [
    35,
    51,
    57,
    96,
    153,
    241,
    249,
    315,
    330,
    377,
    384,
    400,
    406,
    418,
    424,
    472,
    488,
    527,
    565,
    572,
    580,
    581,
    586,
    614,
    617,
    628
   ],
   [
    36,
    52,
    58,
    97,
    154,
    242,
    250,
    316,
    331,
    378,
    385,
    401,
    407,
    419,
    425,
    473,
    489,
    528,
    566,
    573,
    581,
    582,
    587,
    615,
    618,
    629
   ],
   [
    37,
    53,
    59,
    98,
    155,
    243,
    251,
    315,
    317,
    332,
    379,
    386,
    402,
    408,
    420,
    426,
    474,
    490,
    529,
    567,
    574,
    582,
    583,
    588,
    616,
    619
   ],
   [
    38,
    54,
    60,
    99,
    156,
    244,
    252,
    316,
    318,
    333,
    380,
    387,
    403,
    409,
    421,
    427,
    475,
    491,
    530,
    568,
    575,
    583,
    584,
    589,
    617,
    620
   ],
   [
    39,
    55,
    61,
    100,
    157,
    245,
    253,
    317,
    319,
    334,
    381,
    388,
    404,
    410,
    422,
    428,
    476,
    492,
    531,
    569,
    576,
    584,
    585,
    590,
    618,
    621
   ],
   [
    40,
    56,
    62,
    101,
    158,
    246,
    254,
    318,
    320,
    335,
    382,
    389,
    405,
    411,
    423,
    429,
    477,
    493,
    532,
    570,
    577,
    585,
    586,
    591,
    619,
    622
   ],
   [
    41,
    57,
    63,
    102,
    159,
    247,
    255,
    319,
    321,
    336,
    383,
    390,
    406,
    412,
    424,
    430,
    478,
    494,
    533,
    571,
    578,
    586,
    587,
    592,
    620,
    623
   ],
   [
    42,
    58,
    64,
    103,
    160,
    248,
    256,
    320,
    322,
    337,
    384,
    391,
    407,
    413,
    425,
    431,
    479,
    495,
    534,
    572,
    579,
    587,
    588,
    593,
    621,
    624
   ],
   [
    43,
    59,
    65,
    104,
    161,
    249,
    257,
    321,
    323,
    338,
    385,
    392,
    408,
    414,
    426,
    432,
    480,
    496,
    535,
    573,
    580,
    588,
    589,
    594,
    622,
    625
   ],
   [
    44,
    60,
    66,
    105,
    162,
    250,
    258,
    322,
    324,
    339,
    386,
    393,
    409,
    415,
    427,
    433,
    481,
    497,
    536,
    574,
    581,
    589,
    590,
    595,
    623,
    626
   ],
   [
    45,
    61,
    67,
    106,
    163,
    251,
    259,
    323,
    325,
    340,
    387,
    394,
    410,
    416,
    428,
    434,
    482,
    498,
    537,
    575,
    582,
    590,
    591,
    596,
    624,
    627
   ],
   [
    46,
    62,
    68,
    107,
    164,
    252,
    260,
    324,
    326,
    341,
    388,
    395,
    411,
    417,
    429,
    435,
    483,
    499,
    538,
    576,
    583,
    591,
    592,
    597,
    625,
    628
   ],
   [
    47,
    63,
    69,
    108,
    165,
    253,
    261,
    325,
    327,
    342,
    389,
    396,
    412,
    418,
    430,
    436,
    484,
    500,
    539,
    577,
    584,
    592,
    593,
    598,
    626,
    629
   ],
   [
    48,
    64,
    70,
    109,
    166,
    254,
    262,
    315,
    326,
    328,
    343,
    390,
    397,
    413,
    419,
    431,
    437,
    485,
    501,
    540,
    578,
    585,
    593,
    594,
    599,
    627
   ],
   [
    49,
    65,
    71,
    110,
    167,
    255,
    263,
    316,
    327,
    329,
    344,
    391,
    398,
    414,
    420,
    432,
    438,
    486,
    502,
    541,
    579,
    586,
    594,
    595,
    600,
    628
   ],
   [
    50,
    66,
    72,
    111,
    168,
    256,
    264,
    317,
    328,
    330,
    345,
    392,
    399,
    415,
    421,
    433,
    439,
    487,
    503,
    542,
    580,
    587,
    595,
    596,
    601,
    629
   ],
   [
    51,
    67,
    73,
    112,
    169,
    257,
    265,
    315,
    318,
    329,
    331,
    346,
    393,
    400,
    416,
    422,
    434,
    440,
    488,
    504,
    543,
    581,
    588,
    596,
    597,
    602
   ],
   [
    52,
    68,
    74,
    113,
    170,
    258,
    266,
    316,
    319,
    330,
    332,
    347,
    394,
    401,
    417,
    423,
    435,
    441,
    489,
    505,
    544,
    582,
    589,
    597,
    598,
    603
   ],
   [
    53,
    69,
    75,
    114,
    171,
    259,
    267,
    317,
    320,
    331,
    333,
    348,
    395,
    402,
    418,
    424,
    436,
    442,
    490,
    506,
    545,
    583,
    590,
    598,
    599,
    604
   ],
   [
    54,
    70,
    76,
    115,
    172,
    260,
    268,
    318,
    321,
    332,
    334,
    349,
    396,
    403,
    419,
    425,
    437,
    443,
    491,
    507,
    546,
    584,
    591,
    599,
    600,
    605
   ],
   [
    55,
    71,
    77,
    116,
    173,
    261,
    269,
    319,
    322,
    333,
    335,
    350,
    397,
    404,
    420,
    426,
    438,
    444,
    492,
    508,
    547,
    585,
    592,
    600,
    601,
    606
   ],
   [
    56,
    72,
    78,
    117,
    174,
    262,
    270,
    320,
    323,
    334,
    336,
    351,
    398,
    405,
    421,
    427,
    439,
    445,
    493,
    509,
    548,
    586,
    593,
    601,
    602,
    607
   ],
   [
    57,
    73,
    79,
    118,
    175,
    263,
    271,
    321,
    324,
    335,
    337,
    352,
    399,
    406,
    422,
    428,
    440,
    446,
    494,
    510,
    549,
    587,
    594,
    602,
    603,
    608
   ],
   [
    58,
    74,
    80,
    119,
    176,
    264,
    272,
    322,
    325,
    336,
    338,
    353,
    400,
    407,
    423,
    429,
    441,
    447,
    495,
    511,
    550,
    588,
    595,
    603,
    604,
    609
   ],
   [
    59,
    75,
    81,
    120,
    177,
    265,
    273,
    323,
    326,
    337,
    339,
    354,
    401,
    408,
    424,
    430,
    442,
    448,
    496,
    512,
    551,
    589,
    596,
    604,
    605,
    610
   ],
   [
    60,
    76,
    82,
    121,
    178,
    266,
    274,
    324,
    327,
    338,
    340,
    355,
    402,
    409,
    425,
    431,
    443,
    449,
    497,
    513,
    552,
    590,
    597,
    605,
    606,
    611
   ],
   [
    61,
    77,
    83,
    122,
    179,
    267,
    275,
    325,
    328,
    339,
    341,
    356,
    403,
    410,
    426,
    432,
    444,
    450,
    498,
    514,
    553,
    591,
    598,
    606,
    607,
    612
   ],
   [
    62,
    78,
    84,
    123,
    180,
    268,
    276,
    326,
    329,
    340,
    342,
    357,
    404,
    411,
    427,
    433,
    445,
    451,
    499,
    515,
    554,
    592,
    599,
    607,
    608,
    613
   ],
   [
    63,
    79,
    85,
    124,
    181,
    269,
    277,
    327,
    330,
    341,
    343,
    358,
    405,
    412,
    428,
    434,
    446,
    452,
    500,
    516,
    555,
    593,
    600,
    608,
    609,
    614
   ],
   [
    64,
    80,
    86,
    125,
    182,
    270,
    278,
    328,
    331,
    342,
    344,
    359,
    406,
    413,
    429,
    435,
    447,
    453,
    501,
    517,
    556,
    594,
    601,
    609,
    610,
    615
   ],
   [
    65,
    81,
    87,
    126,
    183,
    271,
    279,
    329,
    332,
    343,
    345,
    360,
    407,
    414,
    430,
    436,
    448,
    454,
    502,
    518,
    557,
    595,
    602,
    610,
    611,
    616
   ],
   [
    66,
    82,
    88,
    127,
    184,
    272,
    280,
    330,
    333,
    344,
    346,
    361,
    408,
    415,
    431,
    437,
    449,
    455,
    503,
    519,
    558,
    596,
    603,
    611,
    612,
    617
   ]
  ]
 },
 "distance": {
  "d": 90,
  "X": {
   "value": 90,
   "confidence": "upper_bound",
   "witness": [
    1,
    3,
    8,
    10,
    15,
    17,
    22,
    24,
    29,
    31,
    36,
    38,
    43,
    45,
    50,
    52,
    57,
    59,
    64,
    66,
    71,
    73,
    78,
    80,
    85,
    87,
    92,
    94,
    99,
    101,
    106,
    108,
    113,
    115,
    120,
    122,
    127,
    129,
    134,
    136,
    141,
    143,
    148,
    150,
    155,
    157,
    162,
    164,
    169,
    171,
    176,
    178,
    183,
    185,
    190,
    192,
    197,
    199,
    204,
    206,
    211,
    213,
    218,
    220,
    225,
    227,
    232,
    234,
    239,
    241,
    246,
    248,
    253,
    255,
    260,
    262,
    267,
    269,
    274,
    276,
    281,
    283,
    288,
    290,
    295,
    297,
    302,
    304,
    309,
    311
   ]
  },
  "Z": {
   "value": 90,
   "confidence": "upper_bound",
   "witness": [
    319,
    321,
    326,
    328,
    333,
    335,
    340,
    342,
    347,
    349,
    354,
    356,
    361,
    363,
    368,
    370,
    375,
    377,
    382,
    384,
    389,
    391,
    396,
    398,
    403,
    405,
    410,
    412,
    417,
    419,
    424,
    426,
    431,
    433,
    438,
    440,
    445,
    447,
    452,
    454,
    459,
    461,
    466,
    468,
    473,
    475,
    480,
    482,
    487,
    489,
    494,
    496,
    501,
    503,
    508,
    510,
    515,
    517,
    522,
    524,
    529,
    531,
    536,
    538,
    543,
    545,
    550,
    552,
    557,
    559,
    564,
    566,
    571,
    573,
    578,
    580,
    585,
    587,
    592,
    594,
    599,
    601,
    606,
    608,
    613,
    615,
    620,
    622,
    627,
    629
   ]
  }
 },
 "provenance": {
  "authors": [
   "@vprusso"
  ],
  "construction": "Cyclic generalized-bicycle code on the ring x^315 - 1 with a(x) = x^12 + x^17 + x^18 + x^26 + x^33 + x^71 + x^110 + x^126 + x^174 + x^180 + x^192 + x^198 + x^214 + x^221 + x^268 + x^283 + x^285 + x^296 + x^299, b(x) = x^34 + x^42 + x^130 + x^187 + x^226 + x^232 + x^248; H_X = [circ(a) | circ(b)], H_Z = [circ(b)^T | circ(a)^T].",
  "origin": "submission",
  "novelty": "known_parameters",
  "model": "Claude Opus 5",
  "date": "2026-09-27",
  "notes": "Found by a randomized sweep over sparse polynomial pairs, screened against the live board before any expensive work. Checked for single-block logicals via the ideal generated by (x^m - 1)/gcd(a, x^m - 1) before the distance was believed."
 },
 "family": "generalized-bicycle"
}