mfsk-core 0.4.0

Pure-Rust library for WSJT-family digital amateur-radio modes (FT8/FT4/FST4/WSPR/JT9/JT65/Q65): protocol traits, DSP, FEC codecs, message codecs, decoders and synthesisers — unified behind a zero-cost generic abstraction.
Documentation
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//! Auto-generated from WSJT-X `lib/fst4/ldpc_240_101_parity.f90`.
//! Fortran 1-based indices are converted to 0-based. Sentinel 0 (no
//! variable-node attached) in NM stays 0 because it is read only up to
//! the length given by NRW.

pub const MN: [[u8; 3]; 240] = [
    [56, 99, 133],
    [55, 98, 135],
    [0, 11, 14],
    [1, 22, 71],
    [2, 132, 136],
    [3, 92, 124],
    [4, 67, 138],
    [5, 37, 54],
    [6, 39, 77],
    [7, 29, 83],
    [8, 16, 121],
    [9, 33, 94],
    [10, 35, 137],
    [12, 89, 131],
    [13, 49, 116],
    [15, 56, 82],
    [17, 21, 120],
    [18, 59, 88],
    [19, 97, 106],
    [20, 36, 60],
    [23, 25, 74],
    [24, 87, 114],
    [26, 48, 126],
    [27, 73, 118],
    [28, 110, 113],
    [30, 90, 128],
    [31, 95, 103],
    [29, 32, 129],
    [34, 64, 134],
    [40, 41, 86],
    [43, 107, 130],
    [44, 93, 100],
    [44, 45, 96],
    [46, 101, 133],
    [47, 63, 103],
    [18, 50, 115],
    [19, 51, 66],
    [52, 103, 112],
    [11, 53, 102],
    [57, 65, 87],
    [61, 79, 123],
    [62, 69, 70],
    [72, 113, 122],
    [75, 84, 127],
    [76, 105, 108],
    [45, 78, 125],
    [60, 80, 109],
    [81, 91, 119],
    [85, 104, 111],
    [65, 99, 117],
    [22, 50, 135],
    [0, 39, 52],
    [1, 72, 80],
    [2, 62, 129],
    [3, 67, 135],
    [4, 59, 77],
    [5, 71, 130],
    [6, 114, 123],
    [7, 88, 119],
    [8, 14, 43],
    [9, 21, 92],
    [10, 48, 99],
    [12, 54, 79],
    [13, 75, 94],
    [15, 53, 110],
    [16, 40, 109],
    [17, 68, 138],
    [20, 23, 115],
    [24, 38, 70],
    [25, 68, 89],
    [26, 100, 132],
    [27, 63, 125],
    [28, 93, 102],
    [30, 55, 56],
    [31, 90, 101],
    [32, 34, 128],
    [33, 46, 127],
    [35, 85, 116],
    [36, 73, 74],
    [37, 78, 105],
    [41, 81, 122],
    [42, 76, 98],
    [47, 69, 91],
    [49, 108, 117],
    [51, 111, 118],
    [57, 61, 107],
    [58, 83, 133],
    [56, 64, 121],
    [66, 96, 112],
    [82, 126, 134],
    [84, 120, 124],
    [86, 131, 136],
    [95, 97, 104],
    [72, 106, 137],
    [0, 82, 88],
    [1, 40, 69],
    [2, 34, 130],
    [3, 110, 127],
    [4, 28, 98],
    [5, 24, 30],
    [6, 18, 95],
    [0, 38, 109],
    [1, 6, 116],
    [2, 48, 108],
    [3, 80, 95],
    [4, 99, 107],
    [5, 50, 123],
    [1, 19, 131],
    [7, 79, 136],
    [8, 55, 66],
    [9, 62, 101],
    [10, 15, 100],
    [11, 114, 121],
    [12, 31, 127],
    [13, 14, 129],
    [13, 69, 98],
    [10, 50, 68],
    [16, 88, 104],
    [17, 82, 98],
    [18, 43, 78],
    [19, 105, 132],
    [9, 20, 122],
    [21, 22, 60],
    [15, 21, 59],
    [23, 37, 113],
    [24, 36, 41],
    [25, 42, 51],
    [26, 67, 70],
    [27, 64, 138],
    [28, 61, 68],
    [29, 91, 125],
    [30, 77, 122],
    [12, 43, 77],
    [32, 39, 119],
    [6, 33, 118],
    [3, 34, 76],
    [11, 35, 51],
    [24, 97, 135],
    [4, 23, 132],
    [0, 79, 90],
    [32, 95, 96],
    [33, 40, 90],
    [31, 36, 116],
    [25, 71, 124],
    [18, 64, 74],
    [44, 130, 135],
    [45, 54, 69],
    [46, 47, 49],
    [5, 47, 93],
    [2, 73, 78],
    [38, 49, 125],
    [22, 117, 126],
    [20, 35, 112],
    [52, 76, 133],
    [29, 53, 54],
    [16, 45, 134],
    [8, 91, 101],
    [56, 84, 86],
    [57, 124, 137],
    [58, 75, 92],
    [59, 65, 106],
    [46, 131, 137],
    [28, 84, 130],
    [42, 72, 107],
    [63, 74, 128],
    [27, 37, 52],
    [60, 105, 121],
    [55, 70, 113],
    [26, 56, 119],
    [61, 66, 129],
    [53, 103, 117],
    [7, 67, 114],
    [71, 85, 110],
    [72, 73, 93],
    [48, 104, 112],
    [41, 85, 120],
    [39, 58, 108],
    [34, 87, 94],
    [30, 106, 111],
    [57, 63, 86],
    [67, 78, 103],
    [0, 4, 120],
    [14, 81, 92],
    [17, 87, 115],
    [81, 83, 118],
    [6, 70, 102],
    [3, 79, 93],
    [62, 80, 83],
    [65, 75, 136],
    [82, 123, 128],
    [89, 111, 115],
    [88, 110, 133],
    [5, 20, 119],
    [2, 15, 24],
    [11, 27, 130],
    [44, 94, 109],
    [16, 92, 123],
    [96, 120, 126],
    [97, 102, 134],
    [7, 98, 137],
    [40, 100, 138],
    [12, 23, 104],
    [13, 52, 106],
    [9, 63, 97],
    [10, 34, 77],
    [89, 99, 102],
    [8, 71, 100],
    [17, 73, 91],
    [14, 72, 86],
    [1, 87, 112],
    [19, 54, 84],
    [18, 66, 109],
    [25, 26, 94],
    [21, 49, 113],
    [28, 48, 80],
    [31, 51, 82],
    [29, 36, 76],
    [38, 127, 134],
    [22, 127, 129],
    [35, 75, 125],
    [32, 131, 138],
    [33, 88, 117],
    [37, 57, 126],
    [30, 53, 124],
    [39, 69, 74],
    [40, 108, 115],
    [42, 59, 62],
    [43, 83, 85],
    [41, 46, 61],
    [44, 81, 89],
    [42, 45, 90],
    [47, 111, 121],
    [50, 101, 132],
    [58, 60, 107],
    [64, 116, 136],
    [55, 65, 95],
    [58, 68, 103],
    [38, 68, 118],
    [96, 114, 122],
    [105, 110, 128],
];

pub const NM: [[u8; 6]; 139] = [
    [2, 51, 94, 101, 139, 181],
    [3, 52, 95, 102, 107, 209],
    [4, 53, 96, 103, 149, 193],
    [5, 54, 97, 104, 135, 186],
    [6, 55, 98, 105, 138, 181],
    [7, 56, 99, 106, 148, 192],
    [8, 57, 100, 102, 134, 185],
    [9, 58, 108, 171, 199, 0],
    [10, 59, 109, 156, 206, 0],
    [11, 60, 110, 121, 203, 0],
    [12, 61, 111, 116, 204, 0],
    [2, 38, 112, 136, 194, 0],
    [13, 62, 113, 132, 201, 0],
    [14, 63, 114, 115, 202, 0],
    [2, 59, 114, 182, 208, 0],
    [15, 64, 111, 123, 193, 0],
    [10, 65, 117, 155, 196, 0],
    [16, 66, 118, 183, 207, 0],
    [17, 35, 100, 119, 144, 211],
    [18, 36, 107, 120, 210, 0],
    [19, 67, 121, 152, 192, 0],
    [16, 60, 122, 123, 213, 0],
    [3, 50, 122, 151, 218, 0],
    [20, 67, 124, 138, 201, 0],
    [21, 68, 99, 125, 137, 193],
    [20, 69, 126, 143, 212, 0],
    [22, 70, 127, 168, 212, 0],
    [23, 71, 128, 165, 194, 0],
    [24, 72, 98, 129, 162, 214],
    [9, 27, 130, 154, 216, 0],
    [25, 73, 99, 131, 178, 223],
    [26, 74, 113, 142, 215, 0],
    [27, 75, 133, 140, 220, 0],
    [11, 76, 134, 141, 221, 0],
    [28, 75, 96, 135, 177, 204],
    [12, 77, 136, 152, 219, 0],
    [19, 78, 125, 142, 216, 0],
    [7, 79, 124, 165, 222, 0],
    [68, 101, 150, 217, 237, 0],
    [8, 51, 133, 176, 224, 0],
    [29, 65, 95, 141, 200, 225],
    [29, 80, 125, 175, 228, 0],
    [81, 126, 163, 226, 230, 0],
    [30, 59, 119, 132, 227, 0],
    [31, 32, 145, 195, 229, 0],
    [32, 45, 146, 155, 230, 0],
    [33, 76, 147, 161, 228, 0],
    [34, 82, 147, 148, 231, 0],
    [22, 61, 103, 174, 214, 0],
    [14, 83, 147, 150, 213, 0],
    [35, 50, 106, 116, 232, 0],
    [36, 84, 126, 136, 215, 0],
    [37, 51, 153, 165, 202, 0],
    [38, 64, 154, 170, 223, 0],
    [7, 62, 146, 154, 210, 0],
    [1, 73, 109, 167, 235, 0],
    [0, 15, 73, 87, 157, 168],
    [39, 85, 158, 179, 222, 0],
    [86, 159, 176, 233, 236, 0],
    [17, 55, 123, 160, 226, 0],
    [19, 46, 122, 166, 233, 0],
    [40, 85, 129, 169, 228, 0],
    [41, 53, 110, 187, 226, 0],
    [34, 71, 164, 179, 203, 0],
    [28, 87, 128, 144, 234, 0],
    [39, 49, 160, 188, 235, 0],
    [36, 88, 109, 169, 211, 0],
    [6, 54, 127, 171, 180, 0],
    [66, 69, 116, 129, 236, 237],
    [41, 82, 95, 115, 146, 224],
    [41, 68, 127, 167, 185, 0],
    [3, 56, 143, 172, 206, 0],
    [42, 52, 93, 163, 173, 208],
    [23, 78, 149, 173, 207, 0],
    [20, 78, 144, 164, 224, 0],
    [43, 63, 159, 188, 219, 0],
    [44, 81, 135, 153, 216, 0],
    [8, 55, 131, 132, 204, 0],
    [45, 79, 119, 149, 180, 0],
    [40, 62, 108, 139, 186, 0],
    [46, 52, 104, 187, 214, 0],
    [47, 80, 182, 184, 229, 0],
    [15, 89, 94, 118, 189, 215],
    [9, 86, 184, 187, 227, 0],
    [43, 90, 157, 162, 210, 0],
    [48, 77, 172, 175, 227, 0],
    [29, 91, 157, 179, 208, 0],
    [21, 39, 177, 183, 209, 0],
    [17, 58, 94, 117, 191, 221],
    [13, 69, 190, 205, 229, 0],
    [25, 74, 139, 141, 230, 0],
    [47, 82, 130, 156, 207, 0],
    [5, 60, 159, 182, 196, 0],
    [31, 72, 148, 173, 186, 0],
    [11, 63, 177, 195, 212, 0],
    [26, 92, 100, 104, 140, 235],
    [32, 88, 140, 197, 238, 0],
    [18, 92, 137, 198, 203, 0],
    [1, 81, 98, 115, 118, 199],
    [0, 49, 61, 105, 205, 0],
    [31, 70, 111, 200, 206, 0],
    [33, 74, 110, 156, 232, 0],
    [38, 72, 185, 198, 205, 0],
    [26, 34, 37, 170, 180, 236],
    [48, 92, 117, 174, 201, 0],
    [44, 79, 120, 166, 239, 0],
    [18, 93, 160, 178, 202, 0],
    [30, 85, 105, 163, 233, 0],
    [44, 83, 103, 176, 225, 0],
    [46, 65, 101, 195, 211, 0],
    [24, 64, 97, 172, 191, 239],
    [48, 84, 178, 190, 231, 0],
    [37, 88, 152, 174, 209, 0],
    [24, 42, 124, 167, 213, 0],
    [21, 57, 112, 171, 238, 0],
    [35, 67, 183, 190, 225, 0],
    [14, 77, 102, 142, 234, 0],
    [49, 83, 151, 170, 221, 0],
    [23, 84, 134, 184, 237, 0],
    [47, 58, 133, 168, 192, 0],
    [16, 90, 175, 181, 197, 0],
    [10, 87, 112, 166, 231, 0],
    [42, 80, 121, 131, 238, 0],
    [40, 57, 106, 189, 196, 0],
    [5, 90, 143, 158, 223, 0],
    [45, 71, 130, 150, 219, 0],
    [22, 89, 151, 197, 222, 0],
    [43, 76, 97, 113, 217, 218],
    [25, 75, 164, 189, 239, 0],
    [27, 53, 114, 169, 218, 0],
    [30, 56, 96, 145, 162, 194],
    [13, 91, 107, 161, 220, 0],
    [4, 70, 120, 138, 232, 0],
    [0, 33, 86, 153, 191, 0],
    [28, 89, 155, 198, 217, 0],
    [1, 50, 54, 137, 145, 0],
    [4, 91, 108, 188, 234, 0],
    [12, 93, 158, 161, 199, 0],
    [6, 66, 128, 200, 220, 0],
];

pub const NRW: [u8; 139] = [
    6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 6, 5, 5, 5, 6, 5, 6, 5,
    5, 5, 6, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5,
    5, 5, 5, 5, 6, 6, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 6,
    5, 5, 6, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6,
    5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5,
];

// Generator sub-matrix from WSJT-X `lib/fst4/ldpc_240_101_generator.f90`
// — 139 rows of 104-bit hex strings, first 101 bits of each row used.

pub const GEN_PARITY: [[u8; 101]; 139] = [
    [
        1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0,
        1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0,
        1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0,
        0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1,
    ],
    [
        1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1,
        1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0,
        1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0,
        1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1,
    ],
    [
        1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1,
        0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1,
        1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1,
        1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0,
    ],
    [
        1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1,
        1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1,
        1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1,
        1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0,
    ],
    [
        1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1,
        0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0,
        1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0,
        0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1,
    ],
    [
        0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0,
        1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0,
        1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1,
        1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0,
    ],
    [
        1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0,
        0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1,
        1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1,
        0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1,
    ],
    [
        0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0,
        1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0,
        0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1,
        0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0,
    ],
    [
        1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0,
        0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0,
        0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
        0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0,
    ],
    [
        1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0,
        0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1,
        1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1,
        0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1,
    ],
    [
        0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0,
        1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1,
        0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0,
        1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1,
    ],
    [
        0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1,
        0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1,
        0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1,
        0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1,
    ],
    [
        1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1,
        0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1,
        1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1,
        1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1,
    ],
    [
        0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1,
        0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0,
        1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0,
        1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1,
    ],
    [
        0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1,
        1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0,
        0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0,
        0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1,
    ],
    [
        0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1,
        0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0,
        1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1,
        1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1,
    ],
    [
        0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0,
        1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0,
        0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1,
        1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1,
    ],
    [
        1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1,
        0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1,
        0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1,
        0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1,
    ],
    [
        0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1,
        1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0,
        0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0,
        1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0,
    ],
    [
        0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1,
        1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0,
        0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1,
        0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0,
    ],
    [
        0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1,
        0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1,
        1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1,
        0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1,
    ],
    [
        0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0,
        1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0,
        0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0,
        1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0,
    ],
    [
        1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1,
        0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1,
        0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1,
        0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1,
    ],
    [
        0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0,
        1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1,
        1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1,
        1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0,
    ],
    [
        0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1,
        1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0,
        1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1,
        0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0,
    ],
    [
        1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0,
        1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0,
        1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0,
        1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0,
    ],
    [
        1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1,
        0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0,
        1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0,
        1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0,
    ],
    [
        1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1,
        0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1,
        1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0,
        0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1,
    ],
    [
        1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0,
        1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1,
        0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1,
        1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0,
    ],
    [
        1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0,
        0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1,
        1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1,
        0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0,
    ],
    [
        1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0,
        0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1,
        1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0,
        0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0,
    ],
    [
        1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1,
        1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0,
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