{
 "schema_version": "0.3",
 "name": "[[620,18,16]]",
 "code_type": "CSS",
 "n": 620,
 "k": 18,
 "checks": {
  "X": [
   [
    0,
    166,
    264,
    310,
    325,
    484
   ],
   [
    1,
    167,
    265,
    311,
    476,
    555
   ],
   [
    2,
    168,
    266,
    312,
    397,
    436
   ],
   [
    3,
    169,
    267,
    313,
    358,
    377
   ],
   [
    4,
    160,
    268,
    314,
    339,
    348
   ],
   [
    5,
    161,
    269,
    315,
    320,
    489
   ],
   [
    6,
    162,
    260,
    316,
    471,
    550
   ],
   [
    7,
    163,
    261,
    317,
    392,
    431
   ],
   [
    8,
    164,
    262,
    318,
    353,
    372
   ],
   [
    9,
    165,
    263,
    319,
    334,
    343
   ],
   [
    10,
    16,
    284,
    320,
    335,
    494
   ],
   [
    11,
    17,
    285,
    321,
    486,
    565
   ],
   [
    12,
    18,
    286,
    322,
    407,
    446
   ],
   [
    13,
    19,
    287,
    323,
    368,
    387
   ],
   [
    10,
    14,
    288,
    324,
    349,
    358
   ],
   [
    11,
    15,
    289,
    325,
    330,
    499
   ],
   [
    12,
    16,
    280,
    326,
    481,
    560
   ],
   [
    13,
    17,
    281,
    327,
    402,
    441
   ],
   [
    14,
    18,
    282,
    328,
    363,
    382
   ],
   [
    15,
    19,
    283,
    329,
    344,
    353
   ],
   [
    20,
    176,
    304,
    330,
    345,
    504
   ],
   [
    21,
    177,
    305,
    331,
    496,
    575
   ],
   [
    22,
    178,
    306,
    332,
    417,
    456
   ],
   [
    23,
    179,
    307,
    333,
    378,
    397
   ],
   [
    24,
    170,
    308,
    334,
    359,
    368
   ],
   [
    25,
    171,
    309,
    335,
    340,
    509
   ],
   [
    26,
    172,
    300,
    336,
    491,
    570
   ],
   [
    27,
    173,
    301,
    337,
    412,
    451
   ],
   [
    28,
    174,
    302,
    338,
    373,
    392
   ],
   [
    29,
    175,
    303,
    339,
    354,
    363
   ],
   [
    14,
    26,
    30,
    340,
    355,
    514
   ],
   [
    15,
    27,
    31,
    341,
    506,
    585
   ],
   [
    16,
    28,
    32,
    342,
    427,
    466
   ],
   [
    17,
    29,
    33,
    343,
    388,
    407
   ],
   [
    18,
    20,
    34,
    344,
    369,
    378
   ],
   [
    19,
    21,
    35,
    345,
    350,
    519
   ],
   [
    10,
    22,
    36,
    346,
    501,
    580
   ],
   [
    11,
    23,
    37,
    347,
    422,
    461
   ],
   [
    12,
    24,
    38,
    348,
    383,
    402
   ],
   [
    13,
    25,
    39,
    349,
    364,
    373
   ],
   [
    34,
    40,
    186,
    350,
    365,
    524
   ],
   [
    35,
    41,
    187,
    351,
    516,
    595
   ],
   [
    36,
    42,
    188,
    352,
    437,
    476
   ],
   [
    37,
    43,
    189,
    353,
    398,
    417
   ],
   [
    38,
    44,
    180,
    354,
    379,
    388
   ],
   [
    39,
    45,
    181,
    355,
    360,
    529
   ],
   [
    30,
    46,
    182,
    356,
    511,
    590
   ],
   [
    31,
    47,
    183,
    357,
    432,
    471
   ],
   [
    32,
    48,
    184,
    358,
    393,
    412
   ],
   [
    33,
    49,
    185,
    359,
    374,
    383
   ],
   [
    36,
    50,
    54,
    360,
    375,
    534
   ],
   [
    37,
    51,
    55,
    361,
    526,
    605
   ],
   [
    38,
    52,
    56,
    362,
    447,
    486
   ],
   [
    39,
    53,
    57,
    363,
    408,
    427
   ],
   [
    30,
    54,
    58,
    364,
    389,
    398
   ],
   [
    31,
    55,
    59,
    365,
    370,
    539
   ],
   [
    32,
    50,
    56,
    366,
    521,
    600
   ],
   [
    33,
    51,
    57,
    367,
    442,
    481
   ],
   [
    34,
    52,
    58,
    368,
    403,
    422
   ],
   [
    35,
    53,
    59,
    369,
    384,
    393
   ],
   [
    60,
    74,
    196,
    370,
    385,
    544
   ],
   [
    61,
    75,
    197,
    371,
    536,
    615
   ],
   [
    62,
    76,
    198,
    372,
    457,
    496
   ],
   [
    63,
    77,
    199,
    373,
    418,
    437
   ],
   [
    64,
    78,
    190,
    374,
    399,
    408
   ],
   [
    65,
    79,
    191,
    375,
    380,
    549
   ],
   [
    66,
    70,
    192,
    376,
    531,
    610
   ],
   [
    67,
    71,
    193,
    377,
    452,
    491
   ],
   [
    68,
    72,
    194,
    378,
    413,
    432
   ],
   [
    69,
    73,
    195,
    379,
    394,
    403
   ],
   [
    46,
    70,
    94,
    380,
    395,
    554
   ],
   [
    47,
    71,
    95,
    315,
    381,
    546
   ],
   [
    48,
    72,
    96,
    382,
    467,
    506
   ],
   [
    49,
    73,
    97,
    383,
    428,
    447
   ],
   [
    40,
    74,
    98,
    384,
    409,
    418
   ],
   [
    41,
    75,
    99,
    385,
    390,
    559
   ],
   [
    42,
    76,
    90,
    310,
    386,
    541
   ],
   [
    43,
    77,
    91,
    387,
    462,
    501
   ],
   [
    44,
    78,
    92,
    388,
    423,
    442
   ],
   [
    45,
    79,
    93,
    389,
    404,
    413
   ],
   [
    80,
    114,
    206,
    390,
    405,
    564
   ],
   [
    81,
    115,
    207,
    325,
    391,
    556
   ],
   [
    82,
    116,
    208,
    392,
    477,
    516
   ],
   [
    83,
    117,
    209,
    393,
    438,
    457
   ],
   [
    84,
    118,
    200,
    394,
    419,
    428
   ],
   [
    85,
    119,
    201,
    395,
    400,
    569
   ],
   [
    86,
    110,
    202,
    320,
    396,
    551
   ],
   [
    87,
    111,
    203,
    397,
    472,
    511
   ],
   [
    88,
    112,
    204,
    398,
    433,
    452
   ],
   [
    89,
    113,
    205,
    399,
    414,
    423
   ],
   [
    56,
    90,
    134,
    400,
    415,
    574
   ],
   [
    57,
    91,
    135,
    335,
    401,
    566
   ],
   [
    58,
    92,
    136,
    402,
    487,
    526
   ],
   [
    59,
    93,
    137,
    403,
    448,
    467
   ],
   [
    50,
    94,
    138,
    404,
    429,
    438
   ],
   [
    51,
    95,
    139,
    405,
    410,
    579
   ],
   [
    52,
    96,
    130,
    330,
    406,
    561
   ],
   [
    53,
    97,
    131,
    407,
    482,
    521
   ],
   [
    54,
    98,
    132,
    408,
    443,
    462
   ],
   [
    55,
    99,
    133,
    409,
    424,
    433
   ],
   [
    100,
    154,
    216,
    410,
    425,
    584
   ],
   [
    101,
    155,
    217,
    345,
    411,
    576
   ],
   [
    102,
    156,
    218,
    412,
    497,
    536
   ],
   [
    103,
    157,
    219,
    413,
    458,
    477
   ],
   [
    104,
    158,
    210,
    414,
    439,
    448
   ],
   [
    105,
    159,
    211,
    415,
    420,
    589
   ],
   [
    106,
    150,
    212,
    340,
    416,
    571
   ],
   [
    107,
    151,
    213,
    417,
    492,
    531
   ],
   [
    108,
    152,
    214,
    418,
    453,
    472
   ],
   [
    109,
    153,
    215,
    419,
    434,
    443
   ],
   [
    66,
    110,
    174,
    420,
    435,
    594
   ],
   [
    67,
    111,
    175,
    355,
    421,
    586
   ],
   [
    68,
    112,
    176,
    422,
    507,
    546
   ],
   [
    69,
    113,
    177,
    423,
    468,
    487
   ],
   [
    60,
    114,
    178,
    424,
    449,
    458
   ],
   [
    61,
    115,
    179,
    425,
    430,
    599
   ],
   [
    62,
    116,
    170,
    350,
    426,
    581
   ],
   [
    63,
    117,
    171,
    427,
    502,
    541
   ],
   [
    64,
    118,
    172,
    428,
    463,
    482
   ],
   [
    65,
    119,
    173,
    429,
    444,
    453
   ],
   [
    120,
    194,
    226,
    430,
    445,
    604
   ],
   [
    121,
    195,
    227,
    365,
    431,
    596
   ],
   [
    122,
    196,
    228,
    432,
    517,
    556
   ],
   [
    123,
    197,
    229,
    433,
    478,
    497
   ],
   [
    124,
    198,
    220,
    434,
    459,
    468
   ],
   [
    125,
    199,
    221,
    435,
    440,
    609
   ],
   [
    126,
    190,
    222,
    360,
    436,
    591
   ],
   [
    127,
    191,
    223,
    437,
    512,
    551
   ],
   [
    128,
    192,
    224,
    438,
    473,
    492
   ],
   [
    129,
    193,
    225,
    439,
    454,
    463
   ],
   [
    76,
    130,
    214,
    440,
    455,
    614
   ],
   [
    77,
    131,
    215,
    375,
    441,
    606
   ],
   [
    78,
    132,
    216,
    442,
    527,
    566
   ],
   [
    79,
    133,
    217,
    443,
    488,
    507
   ],
   [
    70,
    134,
    218,
    444,
    469,
    478
   ],
   [
    71,
    135,
    219,
    445,
    450,
    619
   ],
   [
    72,
    136,
    210,
    370,
    446,
    601
   ],
   [
    73,
    137,
    211,
    447,
    522,
    561
   ],
   [
    74,
    138,
    212,
    448,
    483,
    502
   ],
   [
    75,
    139,
    213,
    449,
    464,
    473
   ],
   [
    140,
    234,
    236,
    314,
    450,
    465
   ],
   [
    141,
    235,
    237,
    385,
    451,
    616
   ],
   [
    142,
    236,
    238,
    452,
    537,
    576
   ],
   [
    143,
    237,
    239,
    453,
    498,
    517
   ],
   [
    144,
    230,
    238,
    454,
    479,
    488
   ],
   [
    145,
    231,
    239,
    319,
    455,
    460
   ],
   [
    146,
    230,
    232,
    380,
    456,
    611
   ],
   [
    147,
    231,
    233,
    457,
    532,
    571
   ],
   [
    148,
    232,
    234,
    458,
    493,
    512
   ],
   [
    149,
    233,
    235,
    459,
    474,
    483
   ],
   [
    86,
    150,
    254,
    324,
    460,
    475
   ],
   [
    87,
    151,
    255,
    316,
    395,
    461
   ],
   [
    88,
    152,
    256,
    462,
    547,
    586
   ],
   [
    89,
    153,
    257,
    463,
    508,
    527
   ],
   [
    80,
    154,
    258,
    464,
    489,
    498
   ],
   [
    81,
    155,
    259,
    329,
    465,
    470
   ],
   [
    82,
    156,
    250,
    311,
    390,
    466
   ],
   [
    83,
    157,
    251,
    467,
    542,
    581
   ],
   [
    84,
    158,
    252,
    468,
    503,
    522
   ],
   [
    85,
    159,
    253,
    469,
    484,
    493
   ],
   [
    160,
    246,
    274,
    334,
    470,
    485
   ],
   [
    161,
    247,
    275,
    326,
    405,
    471
   ],
   [
    162,
    248,
    276,
    472,
    557,
    596
   ],
   [
    163,
    249,
    277,
    473,
    518,
    537
   ],
   [
    164,
    240,
    278,
    474,
    499,
    508
   ],
   [
    165,
    241,
    279,
    339,
    475,
    480
   ],
   [
    166,
    242,
    270,
    321,
    400,
    476
   ],
   [
    167,
    243,
    271,
    477,
    552,
    591
   ],
   [
    168,
    244,
    272,
    478,
    513,
    532
   ],
   [
    169,
    245,
    273,
    479,
    494,
    503
   ],
   [
    96,
    170,
    294,
    344,
    480,
    495
   ],
   [
    97,
    171,
    295,
    336,
    415,
    481
   ],
   [
    98,
    172,
    296,
    482,
    567,
    606
   ],
   [
    99,
    173,
    297,
    483,
    528,
    547
   ],
   [
    90,
    174,
    298,
    484,
    509,
    518
   ],
   [
    91,
    175,
    299,
    349,
    485,
    490
   ],
   [
    92,
    176,
    290,
    331,
    410,
    486
   ],
   [
    93,
    177,
    291,
    487,
    562,
    601
   ],
   [
    94,
    178,
    292,
    488,
    523,
    542
   ],
   [
    95,
    179,
    293,
    489,
    504,
    513
   ],
   [
    4,
    180,
    256,
    354,
    490,
    505
   ],
   [
    5,
    181,
    257,
    346,
    425,
    491
   ],
   [
    6,
    182,
    258,
    492,
    577,
    616
   ],
   [
    7,
    183,
    259,
    493,
    538,
    557
   ],
   [
    8,
    184,
    250,
    494,
    519,
    528
   ],
   [
    9,
    185,
    251,
    359,
    495,
    500
   ],
   [
    0,
    186,
    252,
    341,
    420,
    496
   ],
   [
    1,
    187,
    253,
    497,
    572,
    611
   ],
   [
    2,
    188,
    254,
    498,
    533,
    552
   ],
   [
    3,
    189,
    255,
    499,
    514,
    523
   ],
   [
    24,
    106,
    190,
    364,
    500,
    515
   ],
   [
    25,
    107,
    191,
    356,
    435,
    501
   ],
   [
    26,
    108,
    192,
    316,
    502,
    587
   ],
   [
    27,
    109,
    193,
    503,
    548,
    567
   ],
   [
    28,
    100,
    194,
    504,
    529,
    538
   ],
   [
    29,
    101,
    195,
    369,
    505,
    510
   ],
   [
    20,
    102,
    196,
    351,
    430,
    506
   ],
   [
    21,
    103,
    197,
    311,
    507,
    582
   ],
   [
    22,
    104,
    198,
    508,
    543,
    562
   ],
   [
    23,
    105,
    199,
    509,
    524,
    533
   ],
   [
    44,
    200,
    266,
    374,
    510,
    525
   ],
   [
    45,
    201,
    267,
    366,
    445,
    511
   ],
   [
    46,
    202,
    268,
    326,
    512,
    597
   ],
   [
    47,
    203,
    269,
    513,
    558,
    577
   ],
   [
    48,
    204,
    260,
    514,
    539,
    548
   ],
   [
    49,
    205,
    261,
    379,
    515,
    520
   ],
   [
    40,
    206,
    262,
    361,
    440,
    516
   ],
   [
    41,
    207,
    263,
    321,
    517,
    592
   ],
   [
    42,
    208,
    264,
    518,
    553,
    572
   ],
   [
    43,
    209,
    265,
    519,
    534,
    543
   ],
   [
    64,
    116,
    210,
    384,
    520,
    535
   ],
   [
    65,
    117,
    211,
    376,
    455,
    521
   ],
   [
    66,
    118,
    212,
    336,
    522,
    607
   ],
   [
    67,
    119,
    213,
    523,
    568,
    587
   ],
   [
    68,
    110,
    214,
    524,
    549,
    558
   ],
   [
    69,
    111,
    215,
    389,
    525,
    530
   ],
   [
    60,
    112,
    216,
    371,
    450,
    526
   ],
   [
    61,
    113,
    217,
    331,
    527,
    602
   ],
   [
    62,
    114,
    218,
    528,
    563,
    582
   ],
   [
    63,
    115,
    219,
    529,
    544,
    553
   ],
   [
    84,
    220,
    276,
    394,
    530,
    545
   ],
   [
    85,
    221,
    277,
    386,
    465,
    531
   ],
   [
    86,
    222,
    278,
    346,
    532,
    617
   ],
   [
    87,
    223,
    279,
    533,
    578,
    597
   ],
   [
    88,
    224,
    270,
    534,
    559,
    568
   ],
   [
    89,
    225,
    271,
    399,
    535,
    540
   ],
   [
    80,
    226,
    272,
    381,
    460,
    536
   ],
   [
    81,
    227,
    273,
    341,
    537,
    612
   ],
   [
    82,
    228,
    274,
    538,
    573,
    592
   ],
   [
    83,
    229,
    275,
    539,
    554,
    563
   ],
   [
    104,
    126,
    230,
    404,
    540,
    555
   ],
   [
    105,
    127,
    231,
    396,
    475,
    541
   ],
   [
    106,
    128,
    232,
    317,
    356,
    542
   ],
   [
    107,
    129,
    233,
    543,
    588,
    607
   ],
   [
    108,
    120,
    234,
    544,
    569,
    578
   ],
   [
    109,
    121,
    235,
    409,
    545,
    550
   ],
   [
    100,
    122,
    236,
    391,
    470,
    546
   ],
   [
    101,
    123,
    237,
    312,
    351,
    547
   ],
   [
    102,
    124,
    238,
    548,
    583,
    602
   ],
   [
    103,
    125,
    239,
    549,
    564,
    573
   ],
   [
    124,
    240,
    286,
    414,
    550,
    565
   ],
   [
    125,
    241,
    287,
    406,
    485,
    551
   ],
   [
    126,
    242,
    288,
    327,
    366,
    552
   ],
   [
    127,
    243,
    289,
    553,
    598,
    617
   ],
   [
    128,
    244,
    280,
    554,
    579,
    588
   ],
   [
    129,
    245,
    281,
    419,
    555,
    560
   ],
   [
    120,
    246,
    282,
    401,
    480,
    556
   ],
   [
    121,
    247,
    283,
    322,
    361,
    557
   ],
   [
    122,
    248,
    284,
    558,
    593,
    612
   ],
   [
    123,
    249,
    285,
    559,
    574,
    583
   ],
   [
    136,
    144,
    250,
    424,
    560,
    575
   ],
   [
    137,
    145,
    251,
    416,
    495,
    561
   ],
   [
    138,
    146,
    252,
    337,
    376,
    562
   ],
   [
    139,
    147,
    253,
    317,
    563,
    608
   ],
   [
    130,
    148,
    254,
    564,
    589,
    598
   ],
   [
    131,
    149,
    255,
    429,
    565,
    570
   ],
   [
    132,
    140,
    256,
    411,
    490,
    566
   ],
   [
    133,
    141,
    257,
    332,
    371,
    567
   ],
   [
    134,
    142,
    258,
    312,
    568,
    603
   ],
   [
    135,
    143,
    259,
    569,
    584,
    593
   ],
   [
    164,
    260,
    296,
    434,
    570,
    585
   ],
   [
    165,
    261,
    297,
    426,
    505,
    571
   ],
   [
    166,
    262,
    298,
    347,
    386,
    572
   ],
   [
    167,
    263,
    299,
    327,
    573,
    618
   ],
   [
    168,
    264,
    290,
    574,
    599,
    608
   ],
   [
    169,
    265,
    291,
    439,
    575,
    580
   ],
   [
    160,
    266,
    292,
    421,
    500,
    576
   ],
   [
    161,
    267,
    293,
    342,
    381,
    577
   ],
   [
    162,
    268,
    294,
    322,
    578,
    613
   ],
   [
    163,
    269,
    295,
    579,
    594,
    603
   ],
   [
    146,
    184,
    270,
    444,
    580,
    595
   ],
   [
    147,
    185,
    271,
    436,
    515,
    581
   ],
   [
    148,
    186,
    272,
    357,
    396,
    582
   ],
   [
    149,
    187,
    273,
    318,
    337,
    583
   ],
   [
    140,
    188,
    274,
    584,
    609,
    618
   ],
   [
    141,
    189,
    275,
    449,
    585,
    590
   ],
   [
    142,
    180,
    276,
    431,
    510,
    586
   ],
   [
    143,
    181,
    277,
    352,
    391,
    587
   ],
   [
    144,
    182,
    278,
    313,
    332,
    588
   ],
   [
    145,
    183,
    279,
    589,
    604,
    613
   ],
   [
    204,
    280,
    306,
    454,
    590,
    605
   ],
   [
    205,
    281,
    307,
    446,
    525,
    591
   ],
   [
    206,
    282,
    308,
    367,
    406,
    592
   ],
   [
    207,
    283,
    309,
    328,
    347,
    593
   ],
   [
    208,
    284,
    300,
    318,
    594,
    619
   ],
   [
    209,
    285,
    301,
    459,
    595,
    600
   ],
   [
    200,
    286,
    302,
    441,
    520,
    596
   ],
   [
    201,
    287,
    303,
    362,
    401,
    597
   ],
   [
    202,
    288,
    304,
    323,
    342,
    598
   ],
   [
    203,
    289,
    305,
    313,
    599,
    614
   ],
   [
    156,
    224,
    290,
    464,
    600,
    615
   ],
   [
    157,
    225,
    291,
    456,
    535,
    601
   ],
   [
    158,
    226,
    292,
    377,
    416,
    602
   ],
   [
    159,
    227,
    293,
    338,
    357,
    603
   ],
   [
    150,
    228,
    294,
    319,
    328,
    604
   ],
   [
    151,
    229,
    295,
    469,
    605,
    610
   ],
   [
    152,
    220,
    296,
    451,
    530,
    606
   ],
   [
    153,
    221,
    297,
    372,
    411,
    607
   ],
   [
    154,
    222,
    298,
    333,
    352,
    608
   ],
   [
    155,
    223,
    299,
    314,
    323,
    609
   ],
   [
    6,
    244,
    300,
    315,
    474,
    610
   ],
   [
    7,
    245,
    301,
    466,
    545,
    611
   ],
   [
    8,
    246,
    302,
    387,
    426,
    612
   ],
   [
    9,
    247,
    303,
    348,
    367,
    613
   ],
   [
    0,
    248,
    304,
    329,
    338,
    614
   ],
   [
    1,
    249,
    305,
    310,
    479,
    615
   ],
   [
    2,
    240,
    306,
    461,
    540,
    616
   ],
   [
    3,
    241,
    307,
    382,
    421,
    617
   ],
   [
    4,
    242,
    308,
    343,
    362,
    618
   ],
   [
    5,
    243,
    309,
    324,
    333,
    619
   ]
  ],
  "Z": [
   [
    0,
    76,
    305,
    310,
    496,
    614
   ],
   [
    1,
    156,
    197,
    311,
    497,
    615
   ],
   [
    2,
    237,
    258,
    312,
    498,
    616
   ],
   [
    3,
    278,
    289,
    313,
    499,
    617
   ],
   [
    4,
    140,
    299,
    314,
    490,
    618
   ],
   [
    5,
    71,
    300,
    315,
    491,
    619
   ],
   [
    6,
    151,
    192,
    316,
    492,
    610
   ],
   [
    7,
    232,
    253,
    317,
    493,
    611
   ],
   [
    8,
    273,
    284,
    318,
    494,
    612
   ],
   [
    9,
    145,
    294,
    319,
    495,
    613
   ],
   [
    5,
    10,
    86,
    320,
    324,
    346
   ],
   [
    11,
    166,
    207,
    321,
    325,
    347
   ],
   [
    12,
    247,
    268,
    322,
    326,
    348
   ],
   [
    13,
    288,
    299,
    323,
    327,
    349
   ],
   [
    14,
    150,
    309,
    324,
    328,
    340
   ],
   [
    0,
    15,
    81,
    325,
    329,
    341
   ],
   [
    16,
    161,
    202,
    320,
    326,
    342
   ],
   [
    17,
    242,
    263,
    321,
    327,
    343
   ],
   [
    18,
    283,
    294,
    322,
    328,
    344
   ],
   [
    19,
    155,
    304,
    323,
    329,
    345
   ],
   [
    15,
    20,
    96,
    330,
    344,
    506
   ],
   [
    21,
    176,
    217,
    331,
    345,
    507
   ],
   [
    22,
    257,
    278,
    332,
    346,
    508
   ],
   [
    23,
    298,
    309,
    333,
    347,
    509
   ],
   [
    9,
    24,
    160,
    334,
    348,
    500
   ],
   [
    10,
    25,
    91,
    335,
    349,
    501
   ],
   [
    26,
    171,
    212,
    336,
    340,
    502
   ],
   [
    27,
    252,
    273,
    337,
    341,
    503
   ],
   [
    28,
    293,
    304,
    338,
    342,
    504
   ],
   [
    4,
    29,
    165,
    339,
    343,
    505
   ],
   [
    25,
    30,
    106,
    340,
    356,
    364
   ],
   [
    31,
    186,
    227,
    341,
    357,
    365
   ],
   [
    32,
    267,
    288,
    342,
    358,
    366
   ],
   [
    9,
    33,
    308,
    343,
    359,
    367
   ],
   [
    19,
    34,
    170,
    344,
    350,
    368
   ],
   [
    20,
    35,
    101,
    345,
    351,
    369
   ],
   [
    36,
    181,
    222,
    346,
    352,
    360
   ],
   [
    37,
    262,
    283,
    347,
    353,
    361
   ],
   [
    4,
    38,
    303,
    348,
    354,
    362
   ],
   [
    14,
    39,
    175,
    349,
    355,
    363
   ],
   [
    35,
    40,
    116,
    350,
    384,
    516
   ],
   [
    41,
    196,
    237,
    351,
    385,
    517
   ],
   [
    42,
    277,
    298,
    352,
    386,
    518
   ],
   [
    8,
    19,
    43,
    353,
    387,
    519
   ],
   [
    29,
    44,
    180,
    354,
    388,
    510
   ],
   [
    30,
    45,
    111,
    355,
    389,
    511
   ],
   [
    46,
    191,
    232,
    356,
    380,
    512
   ],
   [
    47,
    272,
    293,
    357,
    381,
    513
   ],
   [
    3,
    14,
    48,
    358,
    382,
    514
   ],
   [
    24,
    49,
    185,
    359,
    383,
    515
   ],
   [
    45,
    50,
    126,
    360,
    366,
    404
   ],
   [
    51,
    206,
    247,
    361,
    367,
    405
   ],
   [
    52,
    287,
    308,
    362,
    368,
    406
   ],
   [
    18,
    29,
    53,
    363,
    369,
    407
   ],
   [
    39,
    54,
    190,
    360,
    364,
    408
   ],
   [
    40,
    55,
    121,
    361,
    365,
    409
   ],
   [
    56,
    201,
    242,
    362,
    366,
    400
   ],
   [
    57,
    282,
    303,
    363,
    367,
    401
   ],
   [
    13,
    24,
    58,
    364,
    368,
    402
   ],
   [
    34,
    59,
    195,
    365,
    369,
    403
   ],
   [
    55,
    60,
    136,
    370,
    424,
    526
   ],
   [
    61,
    216,
    257,
    371,
    425,
    527
   ],
   [
    8,
    62,
    297,
    372,
    426,
    528
   ],
   [
    28,
    39,
    63,
    373,
    427,
    529
   ],
   [
    49,
    64,
    200,
    374,
    428,
    520
   ],
   [
    50,
    65,
    131,
    375,
    429,
    521
   ],
   [
    66,
    211,
    252,
    376,
    420,
    522
   ],
   [
    3,
    67,
    292,
    377,
    421,
    523
   ],
   [
    23,
    34,
    68,
    378,
    422,
    524
   ],
   [
    44,
    69,
    205,
    379,
    423,
    525
   ],
   [
    65,
    70,
    146,
    376,
    380,
    444
   ],
   [
    71,
    226,
    267,
    377,
    381,
    445
   ],
   [
    18,
    72,
    307,
    378,
    382,
    446
   ],
   [
    38,
    49,
    73,
    379,
    383,
    447
   ],
   [
    59,
    74,
    210,
    370,
    384,
    448
   ],
   [
    60,
    75,
    141,
    371,
    385,
    449
   ],
   [
    76,
    221,
    262,
    372,
    386,
    440
   ],
   [
    13,
    77,
    302,
    373,
    387,
    441
   ],
   [
    33,
    44,
    78,
    374,
    388,
    442
   ],
   [
    54,
    79,
    215,
    375,
    389,
    443
   ],
   [
    75,
    80,
    156,
    390,
    464,
    536
   ],
   [
    81,
    236,
    277,
    391,
    465,
    537
   ],
   [
    7,
    28,
    82,
    392,
    466,
    538
   ],
   [
    48,
    59,
    83,
    393,
    467,
    539
   ],
   [
    69,
    84,
    220,
    394,
    468,
    530
   ],
   [
    70,
    85,
    151,
    395,
    469,
    531
   ],
   [
    86,
    231,
    272,
    396,
    460,
    532
   ],
   [
    2,
    23,
    87,
    397,
    461,
    533
   ],
   [
    43,
    54,
    88,
    398,
    462,
    534
   ],
   [
    64,
    89,
    225,
    399,
    463,
    535
   ],
   [
    85,
    90,
    166,
    386,
    400,
    484
   ],
   [
    91,
    246,
    287,
    387,
    401,
    485
   ],
   [
    17,
    38,
    92,
    388,
    402,
    486
   ],
   [
    58,
    69,
    93,
    389,
    403,
    487
   ],
   [
    79,
    94,
    230,
    380,
    404,
    488
   ],
   [
    80,
    95,
    161,
    381,
    405,
    489
   ],
   [
    96,
    241,
    282,
    382,
    406,
    480
   ],
   [
    12,
    33,
    97,
    383,
    407,
    481
   ],
   [
    53,
    64,
    98,
    384,
    408,
    482
   ],
   [
    74,
    99,
    235,
    385,
    409,
    483
   ],
   [
    95,
    100,
    176,
    410,
    504,
    546
   ],
   [
    101,
    256,
    297,
    411,
    505,
    547
   ],
   [
    27,
    48,
    102,
    412,
    506,
    548
   ],
   [
    68,
    79,
    103,
    413,
    507,
    549
   ],
   [
    89,
    104,
    240,
    414,
    508,
    540
   ],
   [
    90,
    105,
    171,
    415,
    509,
    541
   ],
   [
    106,
    251,
    292,
    416,
    500,
    542
   ],
   [
    22,
    43,
    107,
    417,
    501,
    543
   ],
   [
    63,
    74,
    108,
    418,
    502,
    544
   ],
   [
    84,
    109,
    245,
    419,
    503,
    545
   ],
   [
    105,
    110,
    186,
    396,
    420,
    524
   ],
   [
    111,
    266,
    307,
    397,
    421,
    525
   ],
   [
    37,
    58,
    112,
    398,
    422,
    526
   ],
   [
    78,
    89,
    113,
    399,
    423,
    527
   ],
   [
    99,
    114,
    250,
    390,
    424,
    528
   ],
   [
    100,
    115,
    181,
    391,
    425,
    529
   ],
   [
    116,
    261,
    302,
    392,
    426,
    520
   ],
   [
    32,
    53,
    117,
    393,
    427,
    521
   ],
   [
    73,
    84,
    118,
    394,
    428,
    522
   ],
   [
    94,
    119,
    255,
    395,
    429,
    523
   ],
   [
    115,
    120,
    196,
    430,
    544,
    556
   ],
   [
    7,
    121,
    276,
    431,
    545,
    557
   ],
   [
    47,
    68,
    122,
    432,
    546,
    558
   ],
   [
    88,
    99,
    123,
    433,
    547,
    559
   ],
   [
    109,
    124,
    260,
    434,
    548,
    550
   ],
   [
    110,
    125,
    191,
    435,
    549,
    551
   ],
   [
    2,
    126,
    271,
    436,
    540,
    552
   ],
   [
    42,
    63,
    127,
    437,
    541,
    553
   ],
   [
    83,
    94,
    128,
    438,
    542,
    554
   ],
   [
    104,
    129,
    265,
    439,
    543,
    555
   ],
   [
    125,
    130,
    206,
    406,
    440,
    564
   ],
   [
    17,
    131,
    286,
    407,
    441,
    565
   ],
   [
    57,
    78,
    132,
    408,
    442,
    566
   ],
   [
    98,
    109,
    133,
    409,
    443,
    567
   ],
   [
    119,
    134,
    270,
    400,
    444,
    568
   ],
   [
    120,
    135,
    201,
    401,
    445,
    569
   ],
   [
    12,
    136,
    281,
    402,
    446,
    560
   ],
   [
    52,
    73,
    137,
    403,
    447,
    561
   ],
   [
    93,
    104,
    138,
    404,
    448,
    562
   ],
   [
    114,
    139,
    275,
    405,
    449,
    563
   ],
   [
    135,
    140,
    216,
    450,
    566,
    584
   ],
   [
    27,
    141,
    296,
    451,
    567,
    585
   ],
   [
    67,
    88,
    142,
    452,
    568,
    586
   ],
   [
    108,
    119,
    143,
    453,
    569,
    587
   ],
   [
    129,
    144,
    280,
    454,
    560,
    588
   ],
   [
    130,
    145,
    211,
    455,
    561,
    589
   ],
   [
    22,
    146,
    291,
    456,
    562,
    580
   ],
   [
    62,
    83,
    147,
    457,
    563,
    581
   ],
   [
    103,
    114,
    148,
    458,
    564,
    582
   ],
   [
    124,
    149,
    285,
    459,
    565,
    583
   ],
   [
    145,
    150,
    226,
    416,
    460,
    604
   ],
   [
    37,
    151,
    306,
    417,
    461,
    605
   ],
   [
    77,
    98,
    152,
    418,
    462,
    606
   ],
   [
    118,
    129,
    153,
    419,
    463,
    607
   ],
   [
    139,
    154,
    290,
    410,
    464,
    608
   ],
   [
    140,
    155,
    221,
    411,
    465,
    609
   ],
   [
    32,
    156,
    301,
    412,
    466,
    600
   ],
   [
    72,
    93,
    157,
    413,
    467,
    601
   ],
   [
    113,
    124,
    158,
    414,
    468,
    602
   ],
   [
    134,
    159,
    295,
    415,
    469,
    603
   ],
   [
    155,
    160,
    236,
    314,
    470,
    576
   ],
   [
    6,
    47,
    161,
    315,
    471,
    577
   ],
   [
    87,
    108,
    162,
    316,
    472,
    578
   ],
   [
    128,
    139,
    163,
    317,
    473,
    579
   ],
   [
    149,
    164,
    300,
    318,
    474,
    570
   ],
   [
    150,
    165,
    231,
    319,
    475,
    571
   ],
   [
    1,
    42,
    166,
    310,
    476,
    572
   ],
   [
    82,
    103,
    167,
    311,
    477,
    573
   ],
   [
    123,
    134,
    168,
    312,
    478,
    574
   ],
   [
    144,
    169,
    305,
    313,
    479,
    575
   ],
   [
    165,
    170,
    246,
    334,
    426,
    480
   ],
   [
    16,
    57,
    171,
    335,
    427,
    481
   ],
   [
    97,
    118,
    172,
    336,
    428,
    482
   ],
   [
    138,
    149,
    173,
    337,
    429,
    483
   ],
   [
    0,
    159,
    174,
    338,
    420,
    484
   ],
   [
    160,
    175,
    241,
    339,
    421,
    485
   ],
   [
    11,
    52,
    176,
    330,
    422,
    486
   ],
   [
    92,
    113,
    177,
    331,
    423,
    487
   ],
   [
    133,
    144,
    178,
    332,
    424,
    488
   ],
   [
    5,
    154,
    179,
    333,
    425,
    489
   ],
   [
    175,
    180,
    256,
    354,
    490,
    586
   ],
   [
    26,
    67,
    181,
    355,
    491,
    587
   ],
   [
    107,
    128,
    182,
    356,
    492,
    588
   ],
   [
    148,
    159,
    183,
    357,
    493,
    589
   ],
   [
    10,
    169,
    184,
    358,
    494,
    580
   ],
   [
    170,
    185,
    251,
    359,
    495,
    581
   ],
   [
    21,
    62,
    186,
    350,
    496,
    582
   ],
   [
    102,
    123,
    187,
    351,
    497,
    583
   ],
   [
    143,
    154,
    188,
    352,
    498,
    584
   ],
   [
    15,
    164,
    189,
    353,
    499,
    585
   ],
   [
    185,
    190,
    266,
    374,
    436,
    500
   ],
   [
    36,
    77,
    191,
    375,
    437,
    501
   ],
   [
    117,
    138,
    192,
    376,
    438,
    502
   ],
   [
    158,
    169,
    193,
    377,
    439,
    503
   ],
   [
    20,
    179,
    194,
    378,
    430,
    504
   ],
   [
    180,
    195,
    261,
    379,
    431,
    505
   ],
   [
    31,
    72,
    196,
    370,
    432,
    506
   ],
   [
    112,
    133,
    197,
    371,
    433,
    507
   ],
   [
    153,
    164,
    198,
    372,
    434,
    508
   ],
   [
    25,
    174,
    199,
    373,
    435,
    509
   ],
   [
    195,
    200,
    276,
    394,
    510,
    596
   ],
   [
    46,
    87,
    201,
    395,
    511,
    597
   ],
   [
    127,
    148,
    202,
    396,
    512,
    598
   ],
   [
    168,
    179,
    203,
    397,
    513,
    599
   ],
   [
    30,
    189,
    204,
    398,
    514,
    590
   ],
   [
    190,
    205,
    271,
    399,
    515,
    591
   ],
   [
    41,
    82,
    206,
    390,
    516,
    592
   ],
   [
    122,
    143,
    207,
    391,
    517,
    593
   ],
   [
    163,
    174,
    208,
    392,
    518,
    594
   ],
   [
    35,
    184,
    209,
    393,
    519,
    595
   ],
   [
    205,
    210,
    286,
    414,
    446,
    520
   ],
   [
    56,
    97,
    211,
    415,
    447,
    521
   ],
   [
    137,
    158,
    212,
    416,
    448,
    522
   ],
   [
    178,
    189,
    213,
    417,
    449,
    523
   ],
   [
    40,
    199,
    214,
    418,
    440,
    524
   ],
   [
    200,
    215,
    281,
    419,
    441,
    525
   ],
   [
    51,
    92,
    216,
    410,
    442,
    526
   ],
   [
    132,
    153,
    217,
    411,
    443,
    527
   ],
   [
    173,
    184,
    218,
    412,
    444,
    528
   ],
   [
    45,
    194,
    219,
    413,
    445,
    529
   ],
   [
    215,
    220,
    296,
    434,
    530,
    606
   ],
   [
    66,
    107,
    221,
    435,
    531,
    607
   ],
   [
    147,
    168,
    222,
    436,
    532,
    608
   ],
   [
    188,
    199,
    223,
    437,
    533,
    609
   ],
   [
    50,
    209,
    224,
    438,
    534,
    600
   ],
   [
    210,
    225,
    291,
    439,
    535,
    601
   ],
   [
    61,
    102,
    226,
    430,
    536,
    602
   ],
   [
    142,
    163,
    227,
    431,
    537,
    603
   ],
   [
    183,
    194,
    228,
    432,
    538,
    604
   ],
   [
    55,
    204,
    229,
    433,
    539,
    605
   ],
   [
    225,
    230,
    306,
    454,
    456,
    540
   ],
   [
    76,
    117,
    231,
    455,
    457,
    541
   ],
   [
    157,
    178,
    232,
    456,
    458,
    542
   ],
   [
    198,
    209,
    233,
    457,
    459,
    543
   ],
   [
    60,
    219,
    234,
    450,
    458,
    544
   ],
   [
    220,
    235,
    301,
    451,
    459,
    545
   ],
   [
    71,
    112,
    236,
    450,
    452,
    546
   ],
   [
    152,
    173,
    237,
    451,
    453,
    547
   ],
   [
    193,
    204,
    238,
    452,
    454,
    548
   ],
   [
    65,
    214,
    239,
    453,
    455,
    549
   ],
   [
    6,
    235,
    240,
    474,
    550,
    616
   ],
   [
    86,
    127,
    241,
    475,
    551,
    617
   ],
   [
    167,
    188,
    242,
    476,
    552,
    618
   ],
   [
    208,
    219,
    243,
    477,
    553,
    619
   ],
   [
    70,
    229,
    244,
    478,
    554,
    610
   ],
   [
    1,
    230,
    245,
    479,
    555,
    611
   ],
   [
    81,
    122,
    246,
    470,
    556,
    612
   ],
   [
    162,
    183,
    247,
    471,
    557,
    613
   ],
   [
    203,
    214,
    248,
    472,
    558,
    614
   ],
   [
    75,
    224,
    249,
    473,
    559,
    615
   ],
   [
    16,
    245,
    250,
    466,
    494,
    560
   ],
   [
    96,
    137,
    251,
    467,
    495,
    561
   ],
   [
    177,
    198,
    252,
    468,
    496,
    562
   ],
   [
    218,
    229,
    253,
    469,
    497,
    563
   ],
   [
    80,
    239,
    254,
    460,
    498,
    564
   ],
   [
    11,
    240,
    255,
    461,
    499,
    565
   ],
   [
    91,
    132,
    256,
    462,
    490,
    566
   ],
   [
    172,
    193,
    257,
    463,
    491,
    567
   ],
   [
    213,
    224,
    258,
    464,
    492,
    568
   ],
   [
    85,
    234,
    259,
    465,
    493,
    569
   ],
   [
    26,
    255,
    260,
    316,
    514,
    570
   ],
   [
    106,
    147,
    261,
    317,
    515,
    571
   ],
   [
    187,
    208,
    262,
    318,
    516,
    572
   ],
   [
    228,
    239,
    263,
    319,
    517,
    573
   ],
   [
    90,
    249,
    264,
    310,
    518,
    574
   ],
   [
    21,
    250,
    265,
    311,
    519,
    575
   ],
   [
    101,
    142,
    266,
    312,
    510,
    576
   ],
   [
    182,
    203,
    267,
    313,
    511,
    577
   ],
   [
    223,
    234,
    268,
    314,
    512,
    578
   ],
   [
    95,
    244,
    269,
    315,
    513,
    579
   ],
   [
    36,
    265,
    270,
    476,
    534,
    580
   ],
   [
    116,
    157,
    271,
    477,
    535,
    581
   ],
   [
    197,
    218,
    272,
    478,
    536,
    582
   ],
   [
    238,
    249,
    273,
    479,
    537,
    583
   ],
   [
    100,
    259,
    274,
    470,
    538,
    584
   ],
   [
    31,
    260,
    275,
    471,
    539,
    585
   ],
   [
    111,
    152,
    276,
    472,
    530,
    586
   ],
   [
    192,
    213,
    277,
    473,
    531,
    587
   ],
   [
    233,
    244,
    278,
    474,
    532,
    588
   ],
   [
    105,
    254,
    279,
    475,
    533,
    589
   ],
   [
    46,
    275,
    280,
    326,
    554,
    590
   ],
   [
    126,
    167,
    281,
    327,
    555,
    591
   ],
   [
    207,
    228,
    282,
    328,
    556,
    592
   ],
   [
    248,
    259,
    283,
    329,
    557,
    593
   ],
   [
    110,
    269,
    284,
    320,
    558,
    594
   ],
   [
    41,
    270,
    285,
    321,
    559,
    595
   ],
   [
    121,
    162,
    286,
    322,
    550,
    596
   ],
   [
    202,
    223,
    287,
    323,
    551,
    597
   ],
   [
    243,
    254,
    288,
    324,
    552,
    598
   ],
   [
    115,
    264,
    289,
    325,
    553,
    599
   ],
   [
    56,
    285,
    290,
    486,
    574,
    600
   ],
   [
    136,
    177,
    291,
    487,
    575,
    601
   ],
   [
    217,
    238,
    292,
    488,
    576,
    602
   ],
   [
    258,
    269,
    293,
    489,
    577,
    603
   ],
   [
    120,
    279,
    294,
    480,
    578,
    604
   ],
   [
    51,
    280,
    295,
    481,
    579,
    605
   ],
   [
    131,
    172,
    296,
    482,
    570,
    606
   ],
   [
    212,
    233,
    297,
    483,
    571,
    607
   ],
   [
    253,
    264,
    298,
    484,
    572,
    608
   ],
   [
    125,
    274,
    299,
    485,
    573,
    609
   ],
   [
    66,
    295,
    300,
    336,
    594,
    610
   ],
   [
    146,
    187,
    301,
    337,
    595,
    611
   ],
   [
    227,
    248,
    302,
    338,
    596,
    612
   ],
   [
    268,
    279,
    303,
    339,
    597,
    613
   ],
   [
    130,
    289,
    304,
    330,
    598,
    614
   ],
   [
    61,
    290,
    305,
    331,
    599,
    615
   ],
   [
    141,
    182,
    306,
    332,
    590,
    616
   ],
   [
    222,
    243,
    307,
    333,
    591,
    617
   ],
   [
    263,
    274,
    308,
    334,
    592,
    618
   ],
   [
    135,
    284,
    309,
    335,
    593,
    619
   ]
  ]
 },
 "distance": {
  "d": 16,
  "X": {
   "value": 20,
   "confidence": "upper_bound",
   "witness": [
    42,
    95,
    100,
    127,
    161,
    174,
    202,
    208,
    221,
    259,
    315,
    386,
    391,
    435,
    465,
    484,
    551,
    572,
    593,
    619
   ]
  },
  "Z": {
   "value": 16,
   "confidence": "upper_bound",
   "witness": [
    90,
    95,
    134,
    139,
    253,
    258,
    315,
    386,
    469,
    473,
    489,
    492,
    518,
    531,
    572,
    610
   ]
  }
 },
 "provenance": {
  "authors": [
   "@vprusso"
  ],
  "construction": "Two-block group algebra (2BGA) code on the metacyclic group C_31 semidirect_16 C_10 (order 310): H_X=[L(a)|R(b)], H_Z=[R(b)^T|L(a)^T] from the left and right regular representations, which commute for any group (arXiv:2306.16400). Element (i,j) = x^i y^j at index i*10+j with (i1,j1)(i2,j2) = (i1 + i2*16^j1 mod 31, j1+j2 mod 10), identity at index 0 (research/kit/group_algebra.py: metacyclic(31,10,16) then build_2bga(mul, a, b)). a = [0, 304, 186], b = [0, 305, 76].",
  "origin": "submission",
  "date": "2026-09-20",
  "model": "Claude Fable 5.1",
  "notes": "Weight-6 metacyclic 2BGA sweep (a sweep script kept with the search run (not committed; method in the research note)): 21,000 random identity-normalized weight-3 support pairs over 1,560 presentations C_n x| C_m with 150 <= nm <= 350, k >= 18 kept, screened at 300 gf2_fast RIS trials. Ladder for this code (gf2_fast RIS, trials -> lightest logical): 300 -> 24, 2k -> 16, 20k -> 16, 200k -> 16, 600k -> 16. Upper-bound confidence; d = 16 is the lightest logical witnessed. Advances the weight-6 x unrestricted board cell if the gate agrees; novelty vs the literature unverified.",
  "search_budget": {
   "candidates_screened": 21000,
   "ris_trials_per_side": 600000,
   "wall_clock_hours": 1.0,
   "tool": "research/kit search funnel, gf2_fast RIS"
  }
 },
 "family": "generalized-bicycle"
}