{
 "schema_version": "0.2",
 "name": "[[436,4,54]]",
 "code_type": "CSS",
 "n": 436,
 "k": 4,
 "checks": {
  "X": [
   [
    30,
    33,
    57,
    77,
    123,
    131,
    155,
    164,
    221,
    370,
    371,
    388,
    392,
    422
   ],
   [
    31,
    34,
    58,
    78,
    124,
    132,
    156,
    165,
    222,
    371,
    372,
    389,
    393,
    423
   ],
   [
    32,
    35,
    59,
    79,
    125,
    133,
    157,
    166,
    223,
    372,
    373,
    390,
    394,
    424
   ],
   [
    33,
    36,
    60,
    80,
    126,
    134,
    158,
    167,
    224,
    373,
    374,
    391,
    395,
    425
   ],
   [
    34,
    37,
    61,
    81,
    127,
    135,
    159,
    168,
    225,
    374,
    375,
    392,
    396,
    426
   ],
   [
    35,
    38,
    62,
    82,
    128,
    136,
    160,
    169,
    226,
    375,
    376,
    393,
    397,
    427
   ],
   [
    36,
    39,
    63,
    83,
    129,
    137,
    161,
    170,
    227,
    376,
    377,
    394,
    398,
    428
   ],
   [
    37,
    40,
    64,
    84,
    130,
    138,
    162,
    171,
    228,
    377,
    378,
    395,
    399,
    429
   ],
   [
    38,
    41,
    65,
    85,
    131,
    139,
    163,
    172,
    229,
    378,
    379,
    396,
    400,
    430
   ],
   [
    39,
    42,
    66,
    86,
    132,
    140,
    164,
    173,
    230,
    379,
    380,
    397,
    401,
    431
   ],
   [
    40,
    43,
    67,
    87,
    133,
    141,
    165,
    174,
    231,
    380,
    381,
    398,
    402,
    432
   ],
   [
    41,
    44,
    68,
    88,
    134,
    142,
    166,
    175,
    232,
    381,
    382,
    399,
    403,
    433
   ],
   [
    42,
    45,
    69,
    89,
    135,
    143,
    167,
    176,
    233,
    382,
    383,
    400,
    404,
    434
   ],
   [
    43,
    46,
    70,
    90,
    136,
    144,
    168,
    177,
    234,
    383,
    384,
    401,
    405,
    435
   ],
   [
    44,
    47,
    71,
    91,
    137,
    145,
    169,
    178,
    218,
    235,
    384,
    385,
    402,
    406
   ],
   [
    45,
    48,
    72,
    92,
    138,
    146,
    170,
    179,
    219,
    236,
    385,
    386,
    403,
    407
   ],
   [
    46,
    49,
    73,
    93,
    139,
    147,
    171,
    180,
    220,
    237,
    386,
    387,
    404,
    408
   ],
   [
    47,
    50,
    74,
    94,
    140,
    148,
    172,
    181,
    221,
    238,
    387,
    388,
    405,
    409
   ],
   [
    48,
    51,
    75,
    95,
    141,
    149,
    173,
    182,
    222,
    239,
    388,
    389,
    406,
    410
   ],
   [
    49,
    52,
    76,
    96,
    142,
    150,
    174,
    183,
    223,
    240,
    389,
    390,
    407,
    411
   ],
   [
    50,
    53,
    77,
    97,
    143,
    151,
    175,
    184,
    224,
    241,
    390,
    391,
    408,
    412
   ],
   [
    51,
    54,
    78,
    98,
    144,
    152,
    176,
    185,
    225,
    242,
    391,
    392,
    409,
    413
   ],
   [
    52,
    55,
    79,
    99,
    145,
    153,
    177,
    186,
    226,
    243,
    392,
    393,
    410,
    414
   ],
   [
    53,
    56,
    80,
    100,
    146,
    154,
    178,
    187,
    227,
    244,
    393,
    394,
    411,
    415
   ],
   [
    54,
    57,
    81,
    101,
    147,
    155,
    179,
    188,
    228,
    245,
    394,
    395,
    412,
    416
   ],
   [
    55,
    58,
    82,
    102,
    148,
    156,
    180,
    189,
    229,
    246,
    395,
    396,
    413,
    417
   ],
   [
    56,
    59,
    83,
    103,
    149,
    157,
    181,
    190,
    230,
    247,
    396,
    397,
    414,
    418
   ],
   [
    57,
    60,
    84,
    104,
    150,
    158,
    182,
    191,
    231,
    248,
    397,
    398,
    415,
    419
   ],
   [
    58,
    61,
    85,
    105,
    151,
    159,
    183,
    192,
    232,
    249,
    398,
    399,
    416,
    420
   ],
   [
    59,
    62,
    86,
    106,
    152,
    160,
    184,
    193,
    233,
    250,
    399,
    400,
    417,
    421
   ],
   [
    60,
    63,
    87,
    107,
    153,
    161,
    185,
    194,
    234,
    251,
    400,
    401,
    418,
    422
   ],
   [
    61,
    64,
    88,
    108,
    154,
    162,
    186,
    195,
    235,
    252,
    401,
    402,
    419,
    423
   ],
   [
    62,
    65,
    89,
    109,
    155,
    163,
    187,
    196,
    236,
    253,
    402,
    403,
    420,
    424
   ],
   [
    63,
    66,
    90,
    110,
    156,
    164,
    188,
    197,
    237,
    254,
    403,
    404,
    421,
    425
   ],
   [
    64,
    67,
    91,
    111,
    157,
    165,
    189,
    198,
    238,
    255,
    404,
    405,
    422,
    426
   ],
   [
    65,
    68,
    92,
    112,
    158,
    166,
    190,
    199,
    239,
    256,
    405,
    406,
    423,
    427
   ],
   [
    66,
    69,
    93,
    113,
    159,
    167,
    191,
    200,
    240,
    257,
    406,
    407,
    424,
    428
   ],
   [
    67,
    70,
    94,
    114,
    160,
    168,
    192,
    201,
    241,
    258,
    407,
    408,
    425,
    429
   ],
   [
    68,
    71,
    95,
    115,
    161,
    169,
    193,
    202,
    242,
    259,
    408,
    409,
    426,
    430
   ],
   [
    69,
    72,
    96,
    116,
    162,
    170,
    194,
    203,
    243,
    260,
    409,
    410,
    427,
    431
   ],
   [
    70,
    73,
    97,
    117,
    163,
    171,
    195,
    204,
    244,
    261,
    410,
    411,
    428,
    432
   ],
   [
    71,
    74,
    98,
    118,
    164,
    172,
    196,
    205,
    245,
    262,
    411,
    412,
    429,
    433
   ],
   [
    72,
    75,
    99,
    119,
    165,
    173,
    197,
    206,
    246,
    263,
    412,
    413,
    430,
    434
   ],
   [
    73,
    76,
    100,
    120,
    166,
    174,
    198,
    207,
    247,
    264,
    413,
    414,
    431,
    435
   ],
   [
    74,
    77,
    101,
    121,
    167,
    175,
    199,
    208,
    218,
    248,
    265,
    414,
    415,
    432
   ],
   [
    75,
    78,
    102,
    122,
    168,
    176,
    200,
    209,
    219,
    249,
    266,
    415,
    416,
    433
   ],
   [
    76,
    79,
    103,
    123,
    169,
    177,
    201,
    210,
    220,
    250,
    267,
    416,
    417,
    434
   ],
   [
    77,
    80,
    104,
    124,
    170,
    178,
    202,
    211,
    221,
    251,
    268,
    417,
    418,
    435
   ],
   [
    78,
    81,
    105,
    125,
    171,
    179,
    203,
    212,
    218,
    222,
    252,
    269,
    418,
    419
   ],
   [
    79,
    82,
    106,
    126,
    172,
    180,
    204,
    213,
    219,
    223,
    253,
    270,
    419,
    420
   ],
   [
    80,
    83,
    107,
    127,
    173,
    181,
    205,
    214,
    220,
    224,
    254,
    271,
    420,
    421
   ],
   [
    81,
    84,
    108,
    128,
    174,
    182,
    206,
    215,
    221,
    225,
    255,
    272,
    421,
    422
   ],
   [
    82,
    85,
    109,
    129,
    175,
    183,
    207,
    216,
    222,
    226,
    256,
    273,
    422,
    423
   ],
   [
    83,
    86,
    110,
    130,
    176,
    184,
    208,
    217,
    223,
    227,
    257,
    274,
    423,
    424
   ],
   [
    0,
    84,
    87,
    111,
    131,
    177,
    185,
    209,
    224,
    228,
    258,
    275,
    424,
    425
   ],
   [
    1,
    85,
    88,
    112,
    132,
    178,
    186,
    210,
    225,
    229,
    259,
    276,
    425,
    426
   ],
   [
    2,
    86,
    89,
    113,
    133,
    179,
    187,
    211,
    226,
    230,
    260,
    277,
    426,
    427
   ],
   [
    3,
    87,
    90,
    114,
    134,
    180,
    188,
    212,
    227,
    231,
    261,
    278,
    427,
    428
   ],
   [
    4,
    88,
    91,
    115,
    135,
    181,
    189,
    213,
    228,
    232,
    262,
    279,
    428,
    429
   ],
   [
    5,
    89,
    92,
    116,
    136,
    182,
    190,
    214,
    229,
    233,
    263,
    280,
    429,
    430
   ],
   [
    6,
    90,
    93,
    117,
    137,
    183,
    191,
    215,
    230,
    234,
    264,
    281,
    430,
    431
   ],
   [
    7,
    91,
    94,
    118,
    138,
    184,
    192,
    216,
    231,
    235,
    265,
    282,
    431,
    432
   ],
   [
    8,
    92,
    95,
    119,
    139,
    185,
    193,
    217,
    232,
    236,
    266,
    283,
    432,
    433
   ],
   [
    0,
    9,
    93,
    96,
    120,
    140,
    186,
    194,
    233,
    237,
    267,
    284,
    433,
    434
   ],
   [
    1,
    10,
    94,
    97,
    121,
    141,
    187,
    195,
    234,
    238,
    268,
    285,
    434,
    435
   ],
   [
    2,
    11,
    95,
    98,
    122,
    142,
    188,
    196,
    218,
    235,
    239,
    269,
    286,
    435
   ],
   [
    3,
    12,
    96,
    99,
    123,
    143,
    189,
    197,
    218,
    219,
    236,
    240,
    270,
    287
   ],
   [
    4,
    13,
    97,
    100,
    124,
    144,
    190,
    198,
    219,
    220,
    237,
    241,
    271,
    288
   ],
   [
    5,
    14,
    98,
    101,
    125,
    145,
    191,
    199,
    220,
    221,
    238,
    242,
    272,
    289
   ],
   [
    6,
    15,
    99,
    102,
    126,
    146,
    192,
    200,
    221,
    222,
    239,
    243,
    273,
    290
   ],
   [
    7,
    16,
    100,
    103,
    127,
    147,
    193,
    201,
    222,
    223,
    240,
    244,
    274,
    291
   ],
   [
    8,
    17,
    101,
    104,
    128,
    148,
    194,
    202,
    223,
    224,
    241,
    245,
    275,
    292
   ],
   [
    9,
    18,
    102,
    105,
    129,
    149,
    195,
    203,
    224,
    225,
    242,
    246,
    276,
    293
   ],
   [
    10,
    19,
    103,
    106,
    130,
    150,
    196,
    204,
    225,
    226,
    243,
    247,
    277,
    294
   ],
   [
    11,
    20,
    104,
    107,
    131,
    151,
    197,
    205,
    226,
    227,
    244,
    248,
    278,
    295
   ],
   [
    12,
    21,
    105,
    108,
    132,
    152,
    198,
    206,
    227,
    228,
    245,
    249,
    279,
    296
   ],
   [
    13,
    22,
    106,
    109,
    133,
    153,
    199,
    207,
    228,
    229,
    246,
    250,
    280,
    297
   ],
   [
    14,
    23,
    107,
    110,
    134,
    154,
    200,
    208,
    229,
    230,
    247,
    251,
    281,
    298
   ],
   [
    15,
    24,
    108,
    111,
    135,
    155,
    201,
    209,
    230,
    231,
    248,
    252,
    282,
    299
   ],
   [
    16,
    25,
    109,
    112,
    136,
    156,
    202,
    210,
    231,
    232,
    249,
    253,
    283,
    300
   ],
   [
    17,
    26,
    110,
    113,
    137,
    157,
    203,
    211,
    232,
    233,
    250,
    254,
    284,
    301
   ],
   [
    18,
    27,
    111,
    114,
    138,
    158,
    204,
    212,
    233,
    234,
    251,
    255,
    285,
    302
   ],
   [
    19,
    28,
    112,
    115,
    139,
    159,
    205,
    213,
    234,
    235,
    252,
    256,
    286,
    303
   ],
   [
    20,
    29,
    113,
    116,
    140,
    160,
    206,
    214,
    235,
    236,
    253,
    257,
    287,
    304
   ],
   [
    21,
    30,
    114,
    117,
    141,
    161,
    207,
    215,
    236,
    237,
    254,
    258,
    288,
    305
   ],
   [
    22,
    31,
    115,
    118,
    142,
    162,
    208,
    216,
    237,
    238,
    255,
    259,
    289,
    306
   ],
   [
    23,
    32,
    116,
    119,
    143,
    163,
    209,
    217,
    238,
    239,
    256,
    260,
    290,
    307
   ],
   [
    0,
    24,
    33,
    117,
    120,
    144,
    164,
    210,
    239,
    240,
    257,
    261,
    291,
    308
   ],
   [
    1,
    25,
    34,
    118,
    121,
    145,
    165,
    211,
    240,
    241,
    258,
    262,
    292,
    309
   ],
   [
    2,
    26,
    35,
    119,
    122,
    146,
    166,
    212,
    241,
    242,
    259,
    263,
    293,
    310
   ],
   [
    3,
    27,
    36,
    120,
    123,
    147,
    167,
    213,
    242,
    243,
    260,
    264,
    294,
    311
   ],
   [
    4,
    28,
    37,
    121,
    124,
    148,
    168,
    214,
    243,
    244,
    261,
    265,
    295,
    312
   ],
   [
    5,
    29,
    38,
    122,
    125,
    149,
    169,
    215,
    244,
    245,
    262,
    266,
    296,
    313
   ],
   [
    6,
    30,
    39,
    123,
    126,
    150,
    170,
    216,
    245,
    246,
    263,
    267,
    297,
    314
   ],
   [
    7,
    31,
    40,
    124,
    127,
    151,
    171,
    217,
    246,
    247,
    264,
    268,
    298,
    315
   ],
   [
    0,
    8,
    32,
    41,
    125,
    128,
    152,
    172,
    247,
    248,
    265,
    269,
    299,
    316
   ],
   [
    1,
    9,
    33,
    42,
    126,
    129,
    153,
    173,
    248,
    249,
    266,
    270,
    300,
    317
   ],
   [
    2,
    10,
    34,
    43,
    127,
    130,
    154,
    174,
    249,
    250,
    267,
    271,
    301,
    318
   ],
   [
    3,
    11,
    35,
    44,
    128,
    131,
    155,
    175,
    250,
    251,
    268,
    272,
    302,
    319
   ],
   [
    4,
    12,
    36,
    45,
    129,
    132,
    156,
    176,
    251,
    252,
    269,
    273,
    303,
    320
   ],
   [
    5,
    13,
    37,
    46,
    130,
    133,
    157,
    177,
    252,
    253,
    270,
    274,
    304,
    321
   ],
   [
    6,
    14,
    38,
    47,
    131,
    134,
    158,
    178,
    253,
    254,
    271,
    275,
    305,
    322
   ],
   [
    7,
    15,
    39,
    48,
    132,
    135,
    159,
    179,
    254,
    255,
    272,
    276,
    306,
    323
   ],
   [
    8,
    16,
    40,
    49,
    133,
    136,
    160,
    180,
    255,
    256,
    273,
    277,
    307,
    324
   ],
   [
    9,
    17,
    41,
    50,
    134,
    137,
    161,
    181,
    256,
    257,
    274,
    278,
    308,
    325
   ],
   [
    10,
    18,
    42,
    51,
    135,
    138,
    162,
    182,
    257,
    258,
    275,
    279,
    309,
    326
   ],
   [
    11,
    19,
    43,
    52,
    136,
    139,
    163,
    183,
    258,
    259,
    276,
    280,
    310,
    327
   ],
   [
    12,
    20,
    44,
    53,
    137,
    140,
    164,
    184,
    259,
    260,
    277,
    281,
    311,
    328
   ],
   [
    13,
    21,
    45,
    54,
    138,
    141,
    165,
    185,
    260,
    261,
    278,
    282,
    312,
    329
   ],
   [
    14,
    22,
    46,
    55,
    139,
    142,
    166,
    186,
    261,
    262,
    279,
    283,
    313,
    330
   ],
   [
    15,
    23,
    47,
    56,
    140,
    143,
    167,
    187,
    262,
    263,
    280,
    284,
    314,
    331
   ],
   [
    16,
    24,
    48,
    57,
    141,
    144,
    168,
    188,
    263,
    264,
    281,
    285,
    315,
    332
   ],
   [
    17,
    25,
    49,
    58,
    142,
    145,
    169,
    189,
    264,
    265,
    282,
    286,
    316,
    333
   ],
   [
    18,
    26,
    50,
    59,
    143,
    146,
    170,
    190,
    265,
    266,
    283,
    287,
    317,
    334
   ],
   [
    19,
    27,
    51,
    60,
    144,
    147,
    171,
    191,
    266,
    267,
    284,
    288,
    318,
    335
   ],
   [
    20,
    28,
    52,
    61,
    145,
    148,
    172,
    192,
    267,
    268,
    285,
    289,
    319,
    336
   ],
   [
    21,
    29,
    53,
    62,
    146,
    149,
    173,
    193,
    268,
    269,
    286,
    290,
    320,
    337
   ],
   [
    22,
    30,
    54,
    63,
    147,
    150,
    174,
    194,
    269,
    270,
    287,
    291,
    321,
    338
   ],
   [
    23,
    31,
    55,
    64,
    148,
    151,
    175,
    195,
    270,
    271,
    288,
    292,
    322,
    339
   ],
   [
    24,
    32,
    56,
    65,
    149,
    152,
    176,
    196,
    271,
    272,
    289,
    293,
    323,
    340
   ],
   [
    25,
    33,
    57,
    66,
    150,
    153,
    177,
    197,
    272,
    273,
    290,
    294,
    324,
    341
   ],
   [
    26,
    34,
    58,
    67,
    151,
    154,
    178,
    198,
    273,
    274,
    291,
    295,
    325,
    342
   ],
   [
    27,
    35,
    59,
    68,
    152,
    155,
    179,
    199,
    274,
    275,
    292,
    296,
    326,
    343
   ],
   [
    28,
    36,
    60,
    69,
    153,
    156,
    180,
    200,
    275,
    276,
    293,
    297,
    327,
    344
   ],
   [
    29,
    37,
    61,
    70,
    154,
    157,
    181,
    201,
    276,
    277,
    294,
    298,
    328,
    345
   ],
   [
    30,
    38,
    62,
    71,
    155,
    158,
    182,
    202,
    277,
    278,
    295,
    299,
    329,
    346
   ],
   [
    31,
    39,
    63,
    72,
    156,
    159,
    183,
    203,
    278,
    279,
    296,
    300,
    330,
    347
   ],
   [
    32,
    40,
    64,
    73,
    157,
    160,
    184,
    204,
    279,
    280,
    297,
    301,
    331,
    348
   ],
   [
    33,
    41,
    65,
    74,
    158,
    161,
    185,
    205,
    280,
    281,
    298,
    302,
    332,
    349
   ],
   [
    34,
    42,
    66,
    75,
    159,
    162,
    186,
    206,
    281,
    282,
    299,
    303,
    333,
    350
   ],
   [
    35,
    43,
    67,
    76,
    160,
    163,
    187,
    207,
    282,
    283,
    300,
    304,
    334,
    351
   ],
   [
    36,
    44,
    68,
    77,
    161,
    164,
    188,
    208,
    283,
    284,
    301,
    305,
    335,
    352
   ],
   [
    37,
    45,
    69,
    78,
    162,
    165,
    189,
    209,
    284,
    285,
    302,
    306,
    336,
    353
   ],
   [
    38,
    46,
    70,
    79,
    163,
    166,
    190,
    210,
    285,
    286,
    303,
    307,
    337,
    354
   ],
   [
    39,
    47,
    71,
    80,
    164,
    167,
    191,
    211,
    286,
    287,
    304,
    308,
    338,
    355
   ],
   [
    40,
    48,
    72,
    81,
    165,
    168,
    192,
    212,
    287,
    288,
    305,
    309,
    339,
    356
   ],
   [
    41,
    49,
    73,
    82,
    166,
    169,
    193,
    213,
    288,
    289,
    306,
    310,
    340,
    357
   ],
   [
    42,
    50,
    74,
    83,
    167,
    170,
    194,
    214,
    289,
    290,
    307,
    311,
    341,
    358
   ],
   [
    43,
    51,
    75,
    84,
    168,
    171,
    195,
    215,
    290,
    291,
    308,
    312,
    342,
    359
   ],
   [
    44,
    52,
    76,
    85,
    169,
    172,
    196,
    216,
    291,
    292,
    309,
    313,
    343,
    360
   ],
   [
    45,
    53,
    77,
    86,
    170,
    173,
    197,
    217,
    292,
    293,
    310,
    314,
    344,
    361
   ],
   [
    0,
    46,
    54,
    78,
    87,
    171,
    174,
    198,
    293,
    294,
    311,
    315,
    345,
    362
   ],
   [
    1,
    47,
    55,
    79,
    88,
    172,
    175,
    199,
    294,
    295,
    312,
    316,
    346,
    363
   ],
   [
    2,
    48,
    56,
    80,
    89,
    173,
    176,
    200,
    295,
    296,
    313,
    317,
    347,
    364
   ],
   [
    3,
    49,
    57,
    81,
    90,
    174,
    177,
    201,
    296,
    297,
    314,
    318,
    348,
    365
   ],
   [
    4,
    50,
    58,
    82,
    91,
    175,
    178,
    202,
    297,
    298,
    315,
    319,
    349,
    366
   ],
   [
    5,
    51,
    59,
    83,
    92,
    176,
    179,
    203,
    298,
    299,
    316,
    320,
    350,
    367
   ],
   [
    6,
    52,
    60,
    84,
    93,
    177,
    180,
    204,
    299,
    300,
    317,
    321,
    351,
    368
   ],
   [
    7,
    53,
    61,
    85,
    94,
    178,
    181,
    205,
    300,
    301,
    318,
    322,
    352,
    369
   ],
   [
    8,
    54,
    62,
    86,
    95,
    179,
    182,
    206,
    301,
    302,
    319,
    323,
    353,
    370
   ],
   [
    9,
    55,
    63,
    87,
    96,
    180,
    183,
    207,
    302,
    303,
    320,
    324,
    354,
    371
   ],
   [
    10,
    56,
    64,
    88,
    97,
    181,
    184,
    208,
    303,
    304,
    321,
    325,
    355,
    372
   ],
   [
    11,
    57,
    65,
    89,
    98,
    182,
    185,
    209,
    304,
    305,
    322,
    326,
    356,
    373
   ],
   [
    12,
    58,
    66,
    90,
    99,
    183,
    186,
    210,
    305,
    306,
    323,
    327,
    357,
    374
   ],
   [
    13,
    59,
    67,
    91,
    100,
    184,
    187,
    211,
    306,
    307,
    324,
    328,
    358,
    375
   ],
   [
    14,
    60,
    68,
    92,
    101,
    185,
    188,
    212,
    307,
    308,
    325,
    329,
    359,
    376
   ],
   [
    15,
    61,
    69,
    93,
    102,
    186,
    189,
    213,
    308,
    309,
    326,
    330,
    360,
    377
   ],
   [
    16,
    62,
    70,
    94,
    103,
    187,
    190,
    214,
    309,
    310,
    327,
    331,
    361,
    378
   ],
   [
    17,
    63,
    71,
    95,
    104,
    188,
    191,
    215,
    310,
    311,
    328,
    332,
    362,
    379
   ],
   [
    18,
    64,
    72,
    96,
    105,
    189,
    192,
    216,
    311,
    312,
    329,
    333,
    363,
    380
   ],
   [
    19,
    65,
    73,
    97,
    106,
    190,
    193,
    217,
    312,
    313,
    330,
    334,
    364,
    381
   ],
   [
    0,
    20,
    66,
    74,
    98,
    107,
    191,
    194,
    313,
    314,
    331,
    335,
    365,
    382
   ],
   [
    1,
    21,
    67,
    75,
    99,
    108,
    192,
    195,
    314,
    315,
    332,
    336,
    366,
    383
   ],
   [
    2,
    22,
    68,
    76,
    100,
    109,
    193,
    196,
    315,
    316,
    333,
    337,
    367,
    384
   ],
   [
    3,
    23,
    69,
    77,
    101,
    110,
    194,
    197,
    316,
    317,
    334,
    338,
    368,
    385
   ],
   [
    4,
    24,
    70,
    78,
    102,
    111,
    195,
    198,
    317,
    318,
    335,
    339,
    369,
    386
   ],
   [
    5,
    25,
    71,
    79,
    103,
    112,
    196,
    199,
    318,
    319,
    336,
    340,
    370,
    387
   ],
   [
    6,
    26,
    72,
    80,
    104,
    113,
    197,
    200,
    319,
    320,
    337,
    341,
    371,
    388
   ],
   [
    7,
    27,
    73,
    81,
    105,
    114,
    198,
    201,
    320,
    321,
    338,
    342,
    372,
    389
   ],
   [
    8,
    28,
    74,
    82,
    106,
    115,
    199,
    202,
    321,
    322,
    339,
    343,
    373,
    390
   ],
   [
    9,
    29,
    75,
    83,
    107,
    116,
    200,
    203,
    322,
    323,
    340,
    344,
    374,
    391
   ],
   [
    10,
    30,
    76,
    84,
    108,
    117,
    201,
    204,
    323,
    324,
    341,
    345,
    375,
    392
   ],
   [
    11,
    31,
    77,
    85,
    109,
    118,
    202,
    205,
    324,
    325,
    342,
    346,
    376,
    393
   ],
   [
    12,
    32,
    78,
    86,
    110,
    119,
    203,
    206,
    325,
    326,
    343,
    347,
    377,
    394
   ],
   [
    13,
    33,
    79,
    87,
    111,
    120,
    204,
    207,
    326,
    327,
    344,
    348,
    378,
    395
   ],
   [
    14,
    34,
    80,
    88,
    112,
    121,
    205,
    208,
    327,
    328,
    345,
    349,
    379,
    396
   ],
   [
    15,
    35,
    81,
    89,
    113,
    122,
    206,
    209,
    328,
    329,
    346,
    350,
    380,
    397
   ],
   [
    16,
    36,
    82,
    90,
    114,
    123,
    207,
    210,
    329,
    330,
    347,
    351,
    381,
    398
   ],
   [
    17,
    37,
    83,
    91,
    115,
    124,
    208,
    211,
    330,
    331,
    348,
    352,
    382,
    399
   ],
   [
    18,
    38,
    84,
    92,
    116,
    125,
    209,
    212,
    331,
    332,
    349,
    353,
    383,
    400
   ],
   [
    19,
    39,
    85,
    93,
    117,
    126,
    210,
    213,
    332,
    333,
    350,
    354,
    384,
    401
   ],
   [
    20,
    40,
    86,
    94,
    118,
    127,
    211,
    214,
    333,
    334,
    351,
    355,
    385,
    402
   ],
   [
    21,
    41,
    87,
    95,
    119,
    128,
    212,
    215,
    334,
    335,
    352,
    356,
    386,
    403
   ],
   [
    22,
    42,
    88,
    96,
    120,
    129,
    213,
    216,
    335,
    336,
    353,
    357,
    387,
    404
   ],
   [
    23,
    43,
    89,
    97,
    121,
    130,
    214,
    217,
    336,
    337,
    354,
    358,
    388,
    405
   ],
   [
    0,
    24,
    44,
    90,
    98,
    122,
    131,
    215,
    337,
    338,
    355,
    359,
    389,
    406
   ],
   [
    1,
    25,
    45,
    91,
    99,
    123,
    132,
    216,
    338,
    339,
    356,
    360,
    390,
    407
   ],
   [
    2,
    26,
    46,
    92,
    100,
    124,
    133,
    217,
    339,
    340,
    357,
    361,
    391,
    408
   ],
   [
    0,
    3,
    27,
    47,
    93,
    101,
    125,
    134,
    340,
    341,
    358,
    362,
    392,
    409
   ],
   [
    1,
    4,
    28,
    48,
    94,
    102,
    126,
    135,
    341,
    342,
    359,
    363,
    393,
    410
   ],
   [
    2,
    5,
    29,
    49,
    95,
    103,
    127,
    136,
    342,
    343,
    360,
    364,
    394,
    411
   ],
   [
    3,
    6,
    30,
    50,
    96,
    104,
    128,
    137,
    343,
    344,
    361,
    365,
    395,
    412
   ],
   [
    4,
    7,
    31,
    51,
    97,
    105,
    129,
    138,
    344,
    345,
    362,
    366,
    396,
    413
   ],
   [
    5,
    8,
    32,
    52,
    98,
    106,
    130,
    139,
    345,
    346,
    363,
    367,
    397,
    414
   ],
   [
    6,
    9,
    33,
    53,
    99,
    107,
    131,
    140,
    346,
    347,
    364,
    368,
    398,
    415
   ],
   [
    7,
    10,
    34,
    54,
    100,
    108,
    132,
    141,
    347,
    348,
    365,
    369,
    399,
    416
   ],
   [
    8,
    11,
    35,
    55,
    101,
    109,
    133,
    142,
    348,
    349,
    366,
    370,
    400,
    417
   ],
   [
    9,
    12,
    36,
    56,
    102,
    110,
    134,
    143,
    349,
    350,
    367,
    371,
    401,
    418
   ],
   [
    10,
    13,
    37,
    57,
    103,
    111,
    135,
    144,
    350,
    351,
    368,
    372,
    402,
    419
   ],
   [
    11,
    14,
    38,
    58,
    104,
    112,
    136,
    145,
    351,
    352,
    369,
    373,
    403,
    420
   ],
   [
    12,
    15,
    39,
    59,
    105,
    113,
    137,
    146,
    352,
    353,
    370,
    374,
    404,
    421
   ],
   [
    13,
    16,
    40,
    60,
    106,
    114,
    138,
    147,
    353,
    354,
    371,
    375,
    405,
    422
   ],
   [
    14,
    17,
    41,
    61,
    107,
    115,
    139,
    148,
    354,
    355,
    372,
    376,
    406,
    423
   ],
   [
    15,
    18,
    42,
    62,
    108,
    116,
    140,
    149,
    355,
    356,
    373,
    377,
    407,
    424
   ],
   [
    16,
    19,
    43,
    63,
    109,
    117,
    141,
    150,
    356,
    357,
    374,
    378,
    408,
    425
   ],
   [
    17,
    20,
    44,
    64,
    110,
    118,
    142,
    151,
    357,
    358,
    375,
    379,
    409,
    426
   ],
   [
    18,
    21,
    45,
    65,
    111,
    119,
    143,
    152,
    358,
    359,
    376,
    380,
    410,
    427
   ],
   [
    19,
    22,
    46,
    66,
    112,
    120,
    144,
    153,
    359,
    360,
    377,
    381,
    411,
    428
   ],
   [
    20,
    23,
    47,
    67,
    113,
    121,
    145,
    154,
    360,
    361,
    378,
    382,
    412,
    429
   ],
   [
    21,
    24,
    48,
    68,
    114,
    122,
    146,
    155,
    361,
    362,
    379,
    383,
    413,
    430
   ],
   [
    22,
    25,
    49,
    69,
    115,
    123,
    147,
    156,
    362,
    363,
    380,
    384,
    414,
    431
   ],
   [
    23,
    26,
    50,
    70,
    116,
    124,
    148,
    157,
    363,
    364,
    381,
    385,
    415,
    432
   ],
   [
    24,
    27,
    51,
    71,
    117,
    125,
    149,
    158,
    364,
    365,
    382,
    386,
    416,
    433
   ],
   [
    25,
    28,
    52,
    72,
    118,
    126,
    150,
    159,
    365,
    366,
    383,
    387,
    417,
    434
   ],
   [
    26,
    29,
    53,
    73,
    119,
    127,
    151,
    160,
    366,
    367,
    384,
    388,
    418,
    435
   ],
   [
    27,
    30,
    54,
    74,
    120,
    128,
    152,
    161,
    218,
    367,
    368,
    385,
    389,
    419
   ],
   [
    28,
    31,
    55,
    75,
    121,
    129,
    153,
    162,
    219,
    368,
    369,
    386,
    390,
    420
   ],
   [
    29,
    32,
    56,
    76,
    122,
    130,
    154,
    163,
    220,
    369,
    370,
    387,
    391,
    421
   ]
  ],
  "Z": [
   [
    14,
    44,
    48,
    65,
    66,
    215,
    272,
    281,
    305,
    313,
    359,
    379,
    403,
    406
   ],
   [
    15,
    45,
    49,
    66,
    67,
    216,
    273,
    282,
    306,
    314,
    360,
    380,
    404,
    407
   ],
   [
    16,
    46,
    50,
    67,
    68,
    217,
    274,
    283,
    307,
    315,
    361,
    381,
    405,
    408
   ],
   [
    0,
    17,
    47,
    51,
    68,
    69,
    275,
    284,
    308,
    316,
    362,
    382,
    406,
    409
   ],
   [
    1,
    18,
    48,
    52,
    69,
    70,
    276,
    285,
    309,
    317,
    363,
    383,
    407,
    410
   ],
   [
    2,
    19,
    49,
    53,
    70,
    71,
    277,
    286,
    310,
    318,
    364,
    384,
    408,
    411
   ],
   [
    3,
    20,
    50,
    54,
    71,
    72,
    278,
    287,
    311,
    319,
    365,
    385,
    409,
    412
   ],
   [
    4,
    21,
    51,
    55,
    72,
    73,
    279,
    288,
    312,
    320,
    366,
    386,
    410,
    413
   ],
   [
    5,
    22,
    52,
    56,
    73,
    74,
    280,
    289,
    313,
    321,
    367,
    387,
    411,
    414
   ],
   [
    6,
    23,
    53,
    57,
    74,
    75,
    281,
    290,
    314,
    322,
    368,
    388,
    412,
    415
   ],
   [
    7,
    24,
    54,
    58,
    75,
    76,
    282,
    291,
    315,
    323,
    369,
    389,
    413,
    416
   ],
   [
    8,
    25,
    55,
    59,
    76,
    77,
    283,
    292,
    316,
    324,
    370,
    390,
    414,
    417
   ],
   [
    9,
    26,
    56,
    60,
    77,
    78,
    284,
    293,
    317,
    325,
    371,
    391,
    415,
    418
   ],
   [
    10,
    27,
    57,
    61,
    78,
    79,
    285,
    294,
    318,
    326,
    372,
    392,
    416,
    419
   ],
   [
    11,
    28,
    58,
    62,
    79,
    80,
    286,
    295,
    319,
    327,
    373,
    393,
    417,
    420
   ],
   [
    12,
    29,
    59,
    63,
    80,
    81,
    287,
    296,
    320,
    328,
    374,
    394,
    418,
    421
   ],
   [
    13,
    30,
    60,
    64,
    81,
    82,
    288,
    297,
    321,
    329,
    375,
    395,
    419,
    422
   ],
   [
    14,
    31,
    61,
    65,
    82,
    83,
    289,
    298,
    322,
    330,
    376,
    396,
    420,
    423
   ],
   [
    15,
    32,
    62,
    66,
    83,
    84,
    290,
    299,
    323,
    331,
    377,
    397,
    421,
    424
   ],
   [
    16,
    33,
    63,
    67,
    84,
    85,
    291,
    300,
    324,
    332,
    378,
    398,
    422,
    425
   ],
   [
    17,
    34,
    64,
    68,
    85,
    86,
    292,
    301,
    325,
    333,
    379,
    399,
    423,
    426
   ],
   [
    18,
    35,
    65,
    69,
    86,
    87,
    293,
    302,
    326,
    334,
    380,
    400,
    424,
    427
   ],
   [
    19,
    36,
    66,
    70,
    87,
    88,
    294,
    303,
    327,
    335,
    381,
    401,
    425,
    428
   ],
   [
    20,
    37,
    67,
    71,
    88,
    89,
    295,
    304,
    328,
    336,
    382,
    402,
    426,
    429
   ],
   [
    21,
    38,
    68,
    72,
    89,
    90,
    296,
    305,
    329,
    337,
    383,
    403,
    427,
    430
   ],
   [
    22,
    39,
    69,
    73,
    90,
    91,
    297,
    306,
    330,
    338,
    384,
    404,
    428,
    431
   ],
   [
    23,
    40,
    70,
    74,
    91,
    92,
    298,
    307,
    331,
    339,
    385,
    405,
    429,
    432
   ],
   [
    24,
    41,
    71,
    75,
    92,
    93,
    299,
    308,
    332,
    340,
    386,
    406,
    430,
    433
   ],
   [
    25,
    42,
    72,
    76,
    93,
    94,
    300,
    309,
    333,
    341,
    387,
    407,
    431,
    434
   ],
   [
    26,
    43,
    73,
    77,
    94,
    95,
    301,
    310,
    334,
    342,
    388,
    408,
    432,
    435
   ],
   [
    27,
    44,
    74,
    78,
    95,
    96,
    218,
    302,
    311,
    335,
    343,
    389,
    409,
    433
   ],
   [
    28,
    45,
    75,
    79,
    96,
    97,
    219,
    303,
    312,
    336,
    344,
    390,
    410,
    434
   ],
   [
    29,
    46,
    76,
    80,
    97,
    98,
    220,
    304,
    313,
    337,
    345,
    391,
    411,
    435
   ],
   [
    30,
    47,
    77,
    81,
    98,
    99,
    218,
    221,
    305,
    314,
    338,
    346,
    392,
    412
   ],
   [
    31,
    48,
    78,
    82,
    99,
    100,
    219,
    222,
    306,
    315,
    339,
    347,
    393,
    413
   ],
   [
    32,
    49,
    79,
    83,
    100,
    101,
    220,
    223,
    307,
    316,
    340,
    348,
    394,
    414
   ],
   [
    33,
    50,
    80,
    84,
    101,
    102,
    221,
    224,
    308,
    317,
    341,
    349,
    395,
    415
   ],
   [
    34,
    51,
    81,
    85,
    102,
    103,
    222,
    225,
    309,
    318,
    342,
    350,
    396,
    416
   ],
   [
    35,
    52,
    82,
    86,
    103,
    104,
    223,
    226,
    310,
    319,
    343,
    351,
    397,
    417
   ],
   [
    36,
    53,
    83,
    87,
    104,
    105,
    224,
    227,
    311,
    320,
    344,
    352,
    398,
    418
   ],
   [
    37,
    54,
    84,
    88,
    105,
    106,
    225,
    228,
    312,
    321,
    345,
    353,
    399,
    419
   ],
   [
    38,
    55,
    85,
    89,
    106,
    107,
    226,
    229,
    313,
    322,
    346,
    354,
    400,
    420
   ],
   [
    39,
    56,
    86,
    90,
    107,
    108,
    227,
    230,
    314,
    323,
    347,
    355,
    401,
    421
   ],
   [
    40,
    57,
    87,
    91,
    108,
    109,
    228,
    231,
    315,
    324,
    348,
    356,
    402,
    422
   ],
   [
    41,
    58,
    88,
    92,
    109,
    110,
    229,
    232,
    316,
    325,
    349,
    357,
    403,
    423
   ],
   [
    42,
    59,
    89,
    93,
    110,
    111,
    230,
    233,
    317,
    326,
    350,
    358,
    404,
    424
   ],
   [
    43,
    60,
    90,
    94,
    111,
    112,
    231,
    234,
    318,
    327,
    351,
    359,
    405,
    425
   ],
   [
    44,
    61,
    91,
    95,
    112,
    113,
    232,
    235,
    319,
    328,
    352,
    360,
    406,
    426
   ],
   [
    45,
    62,
    92,
    96,
    113,
    114,
    233,
    236,
    320,
    329,
    353,
    361,
    407,
    427
   ],
   [
    46,
    63,
    93,
    97,
    114,
    115,
    234,
    237,
    321,
    330,
    354,
    362,
    408,
    428
   ],
   [
    47,
    64,
    94,
    98,
    115,
    116,
    235,
    238,
    322,
    331,
    355,
    363,
    409,
    429
   ],
   [
    48,
    65,
    95,
    99,
    116,
    117,
    236,
    239,
    323,
    332,
    356,
    364,
    410,
    430
   ],
   [
    49,
    66,
    96,
    100,
    117,
    118,
    237,
    240,
    324,
    333,
    357,
    365,
    411,
    431
   ],
   [
    50,
    67,
    97,
    101,
    118,
    119,
    238,
    241,
    325,
    334,
    358,
    366,
    412,
    432
   ],
   [
    51,
    68,
    98,
    102,
    119,
    120,
    239,
    242,
    326,
    335,
    359,
    367,
    413,
    433
   ],
   [
    52,
    69,
    99,
    103,
    120,
    121,
    240,
    243,
    327,
    336,
    360,
    368,
    414,
    434
   ],
   [
    53,
    70,
    100,
    104,
    121,
    122,
    241,
    244,
    328,
    337,
    361,
    369,
    415,
    435
   ],
   [
    54,
    71,
    101,
    105,
    122,
    123,
    218,
    242,
    245,
    329,
    338,
    362,
    370,
    416
   ],
   [
    55,
    72,
    102,
    106,
    123,
    124,
    219,
    243,
    246,
    330,
    339,
    363,
    371,
    417
   ],
   [
    56,
    73,
    103,
    107,
    124,
    125,
    220,
    244,
    247,
    331,
    340,
    364,
    372,
    418
   ],
   [
    57,
    74,
    104,
    108,
    125,
    126,
    221,
    245,
    248,
    332,
    341,
    365,
    373,
    419
   ],
   [
    58,
    75,
    105,
    109,
    126,
    127,
    222,
    246,
    249,
    333,
    342,
    366,
    374,
    420
   ],
   [
    59,
    76,
    106,
    110,
    127,
    128,
    223,
    247,
    250,
    334,
    343,
    367,
    375,
    421
   ],
   [
    60,
    77,
    107,
    111,
    128,
    129,
    224,
    248,
    251,
    335,
    344,
    368,
    376,
    422
   ],
   [
    61,
    78,
    108,
    112,
    129,
    130,
    225,
    249,
    252,
    336,
    345,
    369,
    377,
    423
   ],
   [
    62,
    79,
    109,
    113,
    130,
    131,
    226,
    250,
    253,
    337,
    346,
    370,
    378,
    424
   ],
   [
    63,
    80,
    110,
    114,
    131,
    132,
    227,
    251,
    254,
    338,
    347,
    371,
    379,
    425
   ],
   [
    64,
    81,
    111,
    115,
    132,
    133,
    228,
    252,
    255,
    339,
    348,
    372,
    380,
    426
   ],
   [
    65,
    82,
    112,
    116,
    133,
    134,
    229,
    253,
    256,
    340,
    349,
    373,
    381,
    427
   ],
   [
    66,
    83,
    113,
    117,
    134,
    135,
    230,
    254,
    257,
    341,
    350,
    374,
    382,
    428
   ],
   [
    67,
    84,
    114,
    118,
    135,
    136,
    231,
    255,
    258,
    342,
    351,
    375,
    383,
    429
   ],
   [
    68,
    85,
    115,
    119,
    136,
    137,
    232,
    256,
    259,
    343,
    352,
    376,
    384,
    430
   ],
   [
    69,
    86,
    116,
    120,
    137,
    138,
    233,
    257,
    260,
    344,
    353,
    377,
    385,
    431
   ],
   [
    70,
    87,
    117,
    121,
    138,
    139,
    234,
    258,
    261,
    345,
    354,
    378,
    386,
    432
   ],
   [
    71,
    88,
    118,
    122,
    139,
    140,
    235,
    259,
    262,
    346,
    355,
    379,
    387,
    433
   ],
   [
    72,
    89,
    119,
    123,
    140,
    141,
    236,
    260,
    263,
    347,
    356,
    380,
    388,
    434
   ],
   [
    73,
    90,
    120,
    124,
    141,
    142,
    237,
    261,
    264,
    348,
    357,
    381,
    389,
    435
   ],
   [
    74,
    91,
    121,
    125,
    142,
    143,
    218,
    238,
    262,
    265,
    349,
    358,
    382,
    390
   ],
   [
    75,
    92,
    122,
    126,
    143,
    144,
    219,
    239,
    263,
    266,
    350,
    359,
    383,
    391
   ],
   [
    76,
    93,
    123,
    127,
    144,
    145,
    220,
    240,
    264,
    267,
    351,
    360,
    384,
    392
   ],
   [
    77,
    94,
    124,
    128,
    145,
    146,
    221,
    241,
    265,
    268,
    352,
    361,
    385,
    393
   ],
   [
    78,
    95,
    125,
    129,
    146,
    147,
    222,
    242,
    266,
    269,
    353,
    362,
    386,
    394
   ],
   [
    79,
    96,
    126,
    130,
    147,
    148,
    223,
    243,
    267,
    270,
    354,
    363,
    387,
    395
   ],
   [
    80,
    97,
    127,
    131,
    148,
    149,
    224,
    244,
    268,
    271,
    355,
    364,
    388,
    396
   ],
   [
    81,
    98,
    128,
    132,
    149,
    150,
    225,
    245,
    269,
    272,
    356,
    365,
    389,
    397
   ],
   [
    82,
    99,
    129,
    133,
    150,
    151,
    226,
    246,
    270,
    273,
    357,
    366,
    390,
    398
   ],
   [
    83,
    100,
    130,
    134,
    151,
    152,
    227,
    247,
    271,
    274,
    358,
    367,
    391,
    399
   ],
   [
    84,
    101,
    131,
    135,
    152,
    153,
    228,
    248,
    272,
    275,
    359,
    368,
    392,
    400
   ],
   [
    85,
    102,
    132,
    136,
    153,
    154,
    229,
    249,
    273,
    276,
    360,
    369,
    393,
    401
   ],
   [
    86,
    103,
    133,
    137,
    154,
    155,
    230,
    250,
    274,
    277,
    361,
    370,
    394,
    402
   ],
   [
    87,
    104,
    134,
    138,
    155,
    156,
    231,
    251,
    275,
    278,
    362,
    371,
    395,
    403
   ],
   [
    88,
    105,
    135,
    139,
    156,
    157,
    232,
    252,
    276,
    279,
    363,
    372,
    396,
    404
   ],
   [
    89,
    106,
    136,
    140,
    157,
    158,
    233,
    253,
    277,
    280,
    364,
    373,
    397,
    405
   ],
   [
    90,
    107,
    137,
    141,
    158,
    159,
    234,
    254,
    278,
    281,
    365,
    374,
    398,
    406
   ],
   [
    91,
    108,
    138,
    142,
    159,
    160,
    235,
    255,
    279,
    282,
    366,
    375,
    399,
    407
   ],
   [
    92,
    109,
    139,
    143,
    160,
    161,
    236,
    256,
    280,
    283,
    367,
    376,
    400,
    408
   ],
   [
    93,
    110,
    140,
    144,
    161,
    162,
    237,
    257,
    281,
    284,
    368,
    377,
    401,
    409
   ],
   [
    94,
    111,
    141,
    145,
    162,
    163,
    238,
    258,
    282,
    285,
    369,
    378,
    402,
    410
   ],
   [
    95,
    112,
    142,
    146,
    163,
    164,
    239,
    259,
    283,
    286,
    370,
    379,
    403,
    411
   ],
   [
    96,
    113,
    143,
    147,
    164,
    165,
    240,
    260,
    284,
    287,
    371,
    380,
    404,
    412
   ],
   [
    97,
    114,
    144,
    148,
    165,
    166,
    241,
    261,
    285,
    288,
    372,
    381,
    405,
    413
   ],
   [
    98,
    115,
    145,
    149,
    166,
    167,
    242,
    262,
    286,
    289,
    373,
    382,
    406,
    414
   ],
   [
    99,
    116,
    146,
    150,
    167,
    168,
    243,
    263,
    287,
    290,
    374,
    383,
    407,
    415
   ],
   [
    100,
    117,
    147,
    151,
    168,
    169,
    244,
    264,
    288,
    291,
    375,
    384,
    408,
    416
   ],
   [
    101,
    118,
    148,
    152,
    169,
    170,
    245,
    265,
    289,
    292,
    376,
    385,
    409,
    417
   ],
   [
    102,
    119,
    149,
    153,
    170,
    171,
    246,
    266,
    290,
    293,
    377,
    386,
    410,
    418
   ],
   [
    103,
    120,
    150,
    154,
    171,
    172,
    247,
    267,
    291,
    294,
    378,
    387,
    411,
    419
   ],
   [
    104,
    121,
    151,
    155,
    172,
    173,
    248,
    268,
    292,
    295,
    379,
    388,
    412,
    420
   ],
   [
    105,
    122,
    152,
    156,
    173,
    174,
    249,
    269,
    293,
    296,
    380,
    389,
    413,
    421
   ],
   [
    106,
    123,
    153,
    157,
    174,
    175,
    250,
    270,
    294,
    297,
    381,
    390,
    414,
    422
   ],
   [
    107,
    124,
    154,
    158,
    175,
    176,
    251,
    271,
    295,
    298,
    382,
    391,
    415,
    423
   ],
   [
    108,
    125,
    155,
    159,
    176,
    177,
    252,
    272,
    296,
    299,
    383,
    392,
    416,
    424
   ],
   [
    109,
    126,
    156,
    160,
    177,
    178,
    253,
    273,
    297,
    300,
    384,
    393,
    417,
    425
   ],
   [
    110,
    127,
    157,
    161,
    178,
    179,
    254,
    274,
    298,
    301,
    385,
    394,
    418,
    426
   ],
   [
    111,
    128,
    158,
    162,
    179,
    180,
    255,
    275,
    299,
    302,
    386,
    395,
    419,
    427
   ],
   [
    112,
    129,
    159,
    163,
    180,
    181,
    256,
    276,
    300,
    303,
    387,
    396,
    420,
    428
   ],
   [
    113,
    130,
    160,
    164,
    181,
    182,
    257,
    277,
    301,
    304,
    388,
    397,
    421,
    429
   ],
   [
    114,
    131,
    161,
    165,
    182,
    183,
    258,
    278,
    302,
    305,
    389,
    398,
    422,
    430
   ],
   [
    115,
    132,
    162,
    166,
    183,
    184,
    259,
    279,
    303,
    306,
    390,
    399,
    423,
    431
   ],
   [
    116,
    133,
    163,
    167,
    184,
    185,
    260,
    280,
    304,
    307,
    391,
    400,
    424,
    432
   ],
   [
    117,
    134,
    164,
    168,
    185,
    186,
    261,
    281,
    305,
    308,
    392,
    401,
    425,
    433
   ],
   [
    118,
    135,
    165,
    169,
    186,
    187,
    262,
    282,
    306,
    309,
    393,
    402,
    426,
    434
   ],
   [
    119,
    136,
    166,
    170,
    187,
    188,
    263,
    283,
    307,
    310,
    394,
    403,
    427,
    435
   ],
   [
    120,
    137,
    167,
    171,
    188,
    189,
    218,
    264,
    284,
    308,
    311,
    395,
    404,
    428
   ],
   [
    121,
    138,
    168,
    172,
    189,
    190,
    219,
    265,
    285,
    309,
    312,
    396,
    405,
    429
   ],
   [
    122,
    139,
    169,
    173,
    190,
    191,
    220,
    266,
    286,
    310,
    313,
    397,
    406,
    430
   ],
   [
    123,
    140,
    170,
    174,
    191,
    192,
    221,
    267,
    287,
    311,
    314,
    398,
    407,
    431
   ],
   [
    124,
    141,
    171,
    175,
    192,
    193,
    222,
    268,
    288,
    312,
    315,
    399,
    408,
    432
   ],
   [
    125,
    142,
    172,
    176,
    193,
    194,
    223,
    269,
    289,
    313,
    316,
    400,
    409,
    433
   ],
   [
    126,
    143,
    173,
    177,
    194,
    195,
    224,
    270,
    290,
    314,
    317,
    401,
    410,
    434
   ],
   [
    127,
    144,
    174,
    178,
    195,
    196,
    225,
    271,
    291,
    315,
    318,
    402,
    411,
    435
   ],
   [
    128,
    145,
    175,
    179,
    196,
    197,
    218,
    226,
    272,
    292,
    316,
    319,
    403,
    412
   ],
   [
    129,
    146,
    176,
    180,
    197,
    198,
    219,
    227,
    273,
    293,
    317,
    320,
    404,
    413
   ],
   [
    130,
    147,
    177,
    181,
    198,
    199,
    220,
    228,
    274,
    294,
    318,
    321,
    405,
    414
   ],
   [
    131,
    148,
    178,
    182,
    199,
    200,
    221,
    229,
    275,
    295,
    319,
    322,
    406,
    415
   ],
   [
    132,
    149,
    179,
    183,
    200,
    201,
    222,
    230,
    276,
    296,
    320,
    323,
    407,
    416
   ],
   [
    133,
    150,
    180,
    184,
    201,
    202,
    223,
    231,
    277,
    297,
    321,
    324,
    408,
    417
   ],
   [
    134,
    151,
    181,
    185,
    202,
    203,
    224,
    232,
    278,
    298,
    322,
    325,
    409,
    418
   ],
   [
    135,
    152,
    182,
    186,
    203,
    204,
    225,
    233,
    279,
    299,
    323,
    326,
    410,
    419
   ],
   [
    136,
    153,
    183,
    187,
    204,
    205,
    226,
    234,
    280,
    300,
    324,
    327,
    411,
    420
   ],
   [
    137,
    154,
    184,
    188,
    205,
    206,
    227,
    235,
    281,
    301,
    325,
    328,
    412,
    421
   ],
   [
    138,
    155,
    185,
    189,
    206,
    207,
    228,
    236,
    282,
    302,
    326,
    329,
    413,
    422
   ],
   [
    139,
    156,
    186,
    190,
    207,
    208,
    229,
    237,
    283,
    303,
    327,
    330,
    414,
    423
   ],
   [
    140,
    157,
    187,
    191,
    208,
    209,
    230,
    238,
    284,
    304,
    328,
    331,
    415,
    424
   ],
   [
    141,
    158,
    188,
    192,
    209,
    210,
    231,
    239,
    285,
    305,
    329,
    332,
    416,
    425
   ],
   [
    142,
    159,
    189,
    193,
    210,
    211,
    232,
    240,
    286,
    306,
    330,
    333,
    417,
    426
   ],
   [
    143,
    160,
    190,
    194,
    211,
    212,
    233,
    241,
    287,
    307,
    331,
    334,
    418,
    427
   ],
   [
    144,
    161,
    191,
    195,
    212,
    213,
    234,
    242,
    288,
    308,
    332,
    335,
    419,
    428
   ],
   [
    145,
    162,
    192,
    196,
    213,
    214,
    235,
    243,
    289,
    309,
    333,
    336,
    420,
    429
   ],
   [
    146,
    163,
    193,
    197,
    214,
    215,
    236,
    244,
    290,
    310,
    334,
    337,
    421,
    430
   ],
   [
    147,
    164,
    194,
    198,
    215,
    216,
    237,
    245,
    291,
    311,
    335,
    338,
    422,
    431
   ],
   [
    148,
    165,
    195,
    199,
    216,
    217,
    238,
    246,
    292,
    312,
    336,
    339,
    423,
    432
   ],
   [
    0,
    149,
    166,
    196,
    200,
    217,
    239,
    247,
    293,
    313,
    337,
    340,
    424,
    433
   ],
   [
    0,
    1,
    150,
    167,
    197,
    201,
    240,
    248,
    294,
    314,
    338,
    341,
    425,
    434
   ],
   [
    1,
    2,
    151,
    168,
    198,
    202,
    241,
    249,
    295,
    315,
    339,
    342,
    426,
    435
   ],
   [
    2,
    3,
    152,
    169,
    199,
    203,
    218,
    242,
    250,
    296,
    316,
    340,
    343,
    427
   ],
   [
    3,
    4,
    153,
    170,
    200,
    204,
    219,
    243,
    251,
    297,
    317,
    341,
    344,
    428
   ],
   [
    4,
    5,
    154,
    171,
    201,
    205,
    220,
    244,
    252,
    298,
    318,
    342,
    345,
    429
   ],
   [
    5,
    6,
    155,
    172,
    202,
    206,
    221,
    245,
    253,
    299,
    319,
    343,
    346,
    430
   ],
   [
    6,
    7,
    156,
    173,
    203,
    207,
    222,
    246,
    254,
    300,
    320,
    344,
    347,
    431
   ],
   [
    7,
    8,
    157,
    174,
    204,
    208,
    223,
    247,
    255,
    301,
    321,
    345,
    348,
    432
   ],
   [
    8,
    9,
    158,
    175,
    205,
    209,
    224,
    248,
    256,
    302,
    322,
    346,
    349,
    433
   ],
   [
    9,
    10,
    159,
    176,
    206,
    210,
    225,
    249,
    257,
    303,
    323,
    347,
    350,
    434
   ],
   [
    10,
    11,
    160,
    177,
    207,
    211,
    226,
    250,
    258,
    304,
    324,
    348,
    351,
    435
   ],
   [
    11,
    12,
    161,
    178,
    208,
    212,
    218,
    227,
    251,
    259,
    305,
    325,
    349,
    352
   ],
   [
    12,
    13,
    162,
    179,
    209,
    213,
    219,
    228,
    252,
    260,
    306,
    326,
    350,
    353
   ],
   [
    13,
    14,
    163,
    180,
    210,
    214,
    220,
    229,
    253,
    261,
    307,
    327,
    351,
    354
   ],
   [
    14,
    15,
    164,
    181,
    211,
    215,
    221,
    230,
    254,
    262,
    308,
    328,
    352,
    355
   ],
   [
    15,
    16,
    165,
    182,
    212,
    216,
    222,
    231,
    255,
    263,
    309,
    329,
    353,
    356
   ],
   [
    16,
    17,
    166,
    183,
    213,
    217,
    223,
    232,
    256,
    264,
    310,
    330,
    354,
    357
   ],
   [
    0,
    17,
    18,
    167,
    184,
    214,
    224,
    233,
    257,
    265,
    311,
    331,
    355,
    358
   ],
   [
    1,
    18,
    19,
    168,
    185,
    215,
    225,
    234,
    258,
    266,
    312,
    332,
    356,
    359
   ],
   [
    2,
    19,
    20,
    169,
    186,
    216,
    226,
    235,
    259,
    267,
    313,
    333,
    357,
    360
   ],
   [
    3,
    20,
    21,
    170,
    187,
    217,
    227,
    236,
    260,
    268,
    314,
    334,
    358,
    361
   ],
   [
    0,
    4,
    21,
    22,
    171,
    188,
    228,
    237,
    261,
    269,
    315,
    335,
    359,
    362
   ],
   [
    1,
    5,
    22,
    23,
    172,
    189,
    229,
    238,
    262,
    270,
    316,
    336,
    360,
    363
   ],
   [
    2,
    6,
    23,
    24,
    173,
    190,
    230,
    239,
    263,
    271,
    317,
    337,
    361,
    364
   ],
   [
    3,
    7,
    24,
    25,
    174,
    191,
    231,
    240,
    264,
    272,
    318,
    338,
    362,
    365
   ],
   [
    4,
    8,
    25,
    26,
    175,
    192,
    232,
    241,
    265,
    273,
    319,
    339,
    363,
    366
   ],
   [
    5,
    9,
    26,
    27,
    176,
    193,
    233,
    242,
    266,
    274,
    320,
    340,
    364,
    367
   ],
   [
    6,
    10,
    27,
    28,
    177,
    194,
    234,
    243,
    267,
    275,
    321,
    341,
    365,
    368
   ],
   [
    7,
    11,
    28,
    29,
    178,
    195,
    235,
    244,
    268,
    276,
    322,
    342,
    366,
    369
   ],
   [
    8,
    12,
    29,
    30,
    179,
    196,
    236,
    245,
    269,
    277,
    323,
    343,
    367,
    370
   ],
   [
    9,
    13,
    30,
    31,
    180,
    197,
    237,
    246,
    270,
    278,
    324,
    344,
    368,
    371
   ],
   [
    10,
    14,
    31,
    32,
    181,
    198,
    238,
    247,
    271,
    279,
    325,
    345,
    369,
    372
   ],
   [
    11,
    15,
    32,
    33,
    182,
    199,
    239,
    248,
    272,
    280,
    326,
    346,
    370,
    373
   ],
   [
    12,
    16,
    33,
    34,
    183,
    200,
    240,
    249,
    273,
    281,
    327,
    347,
    371,
    374
   ],
   [
    13,
    17,
    34,
    35,
    184,
    201,
    241,
    250,
    274,
    282,
    328,
    348,
    372,
    375
   ],
   [
    14,
    18,
    35,
    36,
    185,
    202,
    242,
    251,
    275,
    283,
    329,
    349,
    373,
    376
   ],
   [
    15,
    19,
    36,
    37,
    186,
    203,
    243,
    252,
    276,
    284,
    330,
    350,
    374,
    377
   ],
   [
    16,
    20,
    37,
    38,
    187,
    204,
    244,
    253,
    277,
    285,
    331,
    351,
    375,
    378
   ],
   [
    17,
    21,
    38,
    39,
    188,
    205,
    245,
    254,
    278,
    286,
    332,
    352,
    376,
    379
   ],
   [
    18,
    22,
    39,
    40,
    189,
    206,
    246,
    255,
    279,
    287,
    333,
    353,
    377,
    380
   ],
   [
    19,
    23,
    40,
    41,
    190,
    207,
    247,
    256,
    280,
    288,
    334,
    354,
    378,
    381
   ],
   [
    20,
    24,
    41,
    42,
    191,
    208,
    248,
    257,
    281,
    289,
    335,
    355,
    379,
    382
   ],
   [
    21,
    25,
    42,
    43,
    192,
    209,
    249,
    258,
    282,
    290,
    336,
    356,
    380,
    383
   ],
   [
    22,
    26,
    43,
    44,
    193,
    210,
    250,
    259,
    283,
    291,
    337,
    357,
    381,
    384
   ],
   [
    23,
    27,
    44,
    45,
    194,
    211,
    251,
    260,
    284,
    292,
    338,
    358,
    382,
    385
   ],
   [
    24,
    28,
    45,
    46,
    195,
    212,
    252,
    261,
    285,
    293,
    339,
    359,
    383,
    386
   ],
   [
    25,
    29,
    46,
    47,
    196,
    213,
    253,
    262,
    286,
    294,
    340,
    360,
    384,
    387
   ],
   [
    26,
    30,
    47,
    48,
    197,
    214,
    254,
    263,
    287,
    295,
    341,
    361,
    385,
    388
   ],
   [
    27,
    31,
    48,
    49,
    198,
    215,
    255,
    264,
    288,
    296,
    342,
    362,
    386,
    389
   ],
   [
    28,
    32,
    49,
    50,
    199,
    216,
    256,
    265,
    289,
    297,
    343,
    363,
    387,
    390
   ],
   [
    29,
    33,
    50,
    51,
    200,
    217,
    257,
    266,
    290,
    298,
    344,
    364,
    388,
    391
   ],
   [
    0,
    30,
    34,
    51,
    52,
    201,
    258,
    267,
    291,
    299,
    345,
    365,
    389,
    392
   ],
   [
    1,
    31,
    35,
    52,
    53,
    202,
    259,
    268,
    292,
    300,
    346,
    366,
    390,
    393
   ],
   [
    2,
    32,
    36,
    53,
    54,
    203,
    260,
    269,
    293,
    301,
    347,
    367,
    391,
    394
   ],
   [
    3,
    33,
    37,
    54,
    55,
    204,
    261,
    270,
    294,
    302,
    348,
    368,
    392,
    395
   ],
   [
    4,
    34,
    38,
    55,
    56,
    205,
    262,
    271,
    295,
    303,
    349,
    369,
    393,
    396
   ],
   [
    5,
    35,
    39,
    56,
    57,
    206,
    263,
    272,
    296,
    304,
    350,
    370,
    394,
    397
   ],
   [
    6,
    36,
    40,
    57,
    58,
    207,
    264,
    273,
    297,
    305,
    351,
    371,
    395,
    398
   ],
   [
    7,
    37,
    41,
    58,
    59,
    208,
    265,
    274,
    298,
    306,
    352,
    372,
    396,
    399
   ],
   [
    8,
    38,
    42,
    59,
    60,
    209,
    266,
    275,
    299,
    307,
    353,
    373,
    397,
    400
   ],
   [
    9,
    39,
    43,
    60,
    61,
    210,
    267,
    276,
    300,
    308,
    354,
    374,
    398,
    401
   ],
   [
    10,
    40,
    44,
    61,
    62,
    211,
    268,
    277,
    301,
    309,
    355,
    375,
    399,
    402
   ],
   [
    11,
    41,
    45,
    62,
    63,
    212,
    269,
    278,
    302,
    310,
    356,
    376,
    400,
    403
   ],
   [
    12,
    42,
    46,
    63,
    64,
    213,
    270,
    279,
    303,
    311,
    357,
    377,
    401,
    404
   ],
   [
    13,
    43,
    47,
    64,
    65,
    214,
    271,
    280,
    304,
    312,
    358,
    378,
    402,
    405
   ]
  ]
 },
 "distance": {
  "d": 54,
  "X": {
   "value": 54,
   "confidence": "upper_bound",
   "witness": [
    8,
    9,
    15,
    18,
    31,
    33,
    49,
    55,
    62,
    63,
    64,
    72,
    79,
    93,
    94,
    117,
    118,
    124,
    127,
    140,
    142,
    158,
    164,
    171,
    172,
    173,
    181,
    188,
    202,
    203,
    249,
    252,
    254,
    263,
    266,
    271,
    276,
    277,
    296,
    301,
    306,
    322,
    358,
    361,
    363,
    372,
    375,
    380,
    385,
    386,
    405,
    410,
    415,
    431
   ],
   "witness_provenance": {
    "found_by": [
     "@vprusso"
    ],
    "date": "2026-09-24",
    "found_at_samples": 1,
    "survived_samples": 1,
    "tool": "norm-word lift of a Z_109 quotient logical (exact algebra)",
    "seeds": [
     0
    ]
   }
  },
  "Z": {
   "value": 54,
   "confidence": "upper_bound",
   "witness": [
    5,
    21,
    26,
    31,
    50,
    51,
    56,
    61,
    64,
    73,
    75,
    78,
    114,
    130,
    135,
    140,
    159,
    160,
    165,
    170,
    173,
    182,
    184,
    187,
    233,
    234,
    248,
    255,
    263,
    264,
    265,
    272,
    278,
    294,
    296,
    309,
    312,
    318,
    319,
    342,
    343,
    357,
    364,
    372,
    373,
    374,
    381,
    387,
    403,
    405,
    418,
    421,
    427,
    428
   ],
   "witness_provenance": {
    "found_by": [
     "@vprusso"
    ],
    "date": "2026-09-24",
    "found_at_samples": 1,
    "survived_samples": 1,
    "tool": "norm-word lift of a Z_109 quotient logical (exact algebra)",
    "seeds": [
     0
    ]
   }
  }
 },
 "provenance": {
  "authors": [
   "@vprusso"
  ],
  "construction": "Cyclic generalized-bicycle code on the ring x^218 - 1 with a(x) = x^30 + x^33 + x^57 + x^77 + x^123 + x^131 + x^155 + x^164, b(x) = x^3 + x^152 + x^153 + x^170 + x^174 + x^204; H_X = [circ(a) | circ(b)], H_Z = [circ(b)^T | circ(a)^T].",
  "origin": "submission",
  "novelty": "known_parameters",
  "model": "Claude Opus 5",
  "date": "2026-09-24",
  "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"
}