mfsk-core 0.7.4

Pure-Rust WSJT-family decoders + synthesisers (FT8 FT4 FST4 WSPR JT9 JT65 Q65) behind a zero-cost Protocol trait. Host (rustfft) or no_std embedded (ESP32-S3, RP2350, Cortex-M) via a pluggable FFT backend; fixed-point hot path for FPU-less MCUs. Ships with embedded-poc/m5stack-s3-app, a working M5StickS3 FT8 controller (LCD UI, BLE CI-V to IC-705, acoustic mic, QSO FSM) decoding real on-air signals in ~1.2 s post-SlotEnd on Xtensa LX7.
Documentation
//! Auto-generated from WSJT-X `lib/ldpc_128_90_reordered_parity.f90` and
//! `lib/ldpc_128_90_generator.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`].
//!
//! `GEN_PARITY` is unpacked from the packed-hex generator rows per
//! `encode_128_90.f90:21-33`: each 23-character hex string expands to
//! 92 bits (4 bits/hex digit, MSB first), of which only the first 90
//! are used (`K = 90`) -- mirrors how `ldpc240_101::tables::GEN_PARITY`
//! was unpacked from its own 104-bit hex rows.
//!
//! Internal consistency (every `MN` entry has a matching `NM` entry
//! and vice versa, uniform column weight 3, and `GEN_PARITY` combined
//! with `NM`/`NRW` satisfies all 38 parity checks for randomised info
//! words) was verified against a standalone transcription script
//! before committing these tables -- see the Phase 1 session notes.

pub const MN: [[u8; 3]; 128] = [
    [20, 33, 35],
    [0, 7, 27],
    [1, 8, 36],
    [2, 6, 18],
    [3, 15, 31],
    [1, 4, 21],
    [5, 12, 24],
    [9, 30, 32],
    [10, 23, 26],
    [11, 14, 22],
    [13, 17, 25],
    [16, 19, 28],
    [16, 29, 33],
    [5, 33, 34],
    [0, 9, 29],
    [2, 17, 22],
    [3, 11, 24],
    [4, 27, 35],
    [6, 13, 20],
    [7, 14, 30],
    [8, 26, 31],
    [10, 18, 34],
    [12, 15, 36],
    [19, 23, 37],
    [20, 21, 25],
    [11, 28, 32],
    [0, 16, 34],
    [1, 27, 29],
    [2, 9, 31],
    [3, 7, 35],
    [4, 18, 28],
    [5, 19, 26],
    [6, 21, 36],
    [8, 10, 32],
    [12, 23, 25],
    [13, 30, 33],
    [14, 15, 24],
    [12, 17, 37],
    [7, 19, 22],
    [0, 31, 32],
    [1, 16, 18],
    [2, 23, 33],
    [3, 6, 37],
    [4, 10, 30],
    [5, 17, 20],
    [8, 14, 35],
    [9, 15, 27],
    [11, 25, 29],
    [13, 26, 28],
    [21, 24, 34],
    [22, 29, 31],
    [3, 10, 36],
    [0, 13, 22],
    [1, 7, 24],
    [2, 12, 26],
    [4, 9, 36],
    [5, 15, 30],
    [6, 14, 17],
    [8, 21, 23],
    [11, 18, 35],
    [16, 25, 37],
    [19, 20, 32],
    [19, 27, 34],
    [3, 28, 33],
    [0, 25, 35],
    [1, 22, 33],
    [2, 8, 37],
    [4, 5, 16],
    [6, 26, 34],
    [7, 13, 31],
    [9, 14, 21],
    [10, 17, 28],
    [11, 12, 27],
    [15, 18, 32],
    [20, 24, 30],
    [23, 29, 36],
    [0, 2, 20],
    [1, 17, 30],
    [3, 5, 8],
    [4, 7, 32],
    [6, 28, 31],
    [9, 12, 18],
    [10, 21, 22],
    [11, 26, 33],
    [13, 14, 29],
    [15, 26, 37],
    [16, 27, 36],
    [19, 24, 25],
    [4, 23, 34],
    [2, 5, 35],
    [0, 11, 30],
    [1, 3, 32],
    [2, 15, 29],
    [0, 1, 23],
    [4, 22, 26],
    [5, 27, 31],
    [6, 16, 35],
    [7, 21, 37],
    [8, 17, 19],
    [9, 20, 28],
    [10, 12, 33],
    [3, 13, 19],
    [10, 29, 37],
    [13, 34, 36],
    [14, 18, 25],
    [2, 27, 28],
    [6, 7, 8],
    [4, 17, 33],
    [12, 14, 16],
    [11, 15, 34],
    [9, 22, 24],
    [18, 20, 36],
    [16, 26, 30],
    [23, 24, 35],
    [0, 17, 18],
    [5, 25, 32],
    [21, 30, 31],
    [2, 19, 21],
    [3, 20, 26],
    [1, 12, 28],
    [5, 6, 11],
    [14, 23, 31],
    [8, 24, 29],
    [22, 36, 37],
    [4, 15, 25],
    [10, 13, 27],
    [32, 35, 37],
    [7, 9, 34],
];

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

pub const NRW: [u8; 38] = [
    10, 10, 11, 10, 11, 11, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10,
    10, 10, 11, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10,
];

pub const GEN_PARITY: [[u8; 90]; 38] = [
    [
        1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0,
        0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1,
        1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1,
    ],
    [
        0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0,
        0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1,
        1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0,
    ],
    [
        1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0,
        1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1,
        0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1,
    ],
    [
        1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1,
        1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1,
        1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0,
    ],
    [
        1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1,
        0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1,
        1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1,
    ],
    [
        1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1,
        0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0,
        0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1,
    ],
    [
        1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0,
        1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0,
        0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0,
    ],
    [
        0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0,
        0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1,
        0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1,
    ],
    [
        0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0,
        0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0,
        1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1,
    ],
    [
        0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1,
        0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1,
        1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0,
    ],
    [
        1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1,
        1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0,
        1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0,
    ],
    [
        0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0,
        1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0,
        0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1,
    ],
    [
        1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0,
        1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1,
        0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1,
    ],
    [
        0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1,
        1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1,
        1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0,
    ],
    [
        1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1,
        1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1,
        0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0,
    ],
    [
        1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0,
        0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1,
        1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0,
    ],
    [
        0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0,
        0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0,
        1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1,
    ],
    [
        0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1,
        1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0,
        1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0,
    ],
    [
        0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0,
        0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0,
        1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0,
    ],
    [
        0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0,
        1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0,
        0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0,
    ],
    [
        0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0,
        0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0,
        0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0,
    ],
    [
        1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0,
        1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0,
        0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1,
    ],
    [
        1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0,
        1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0,
        0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0,
    ],
    [
        0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0,
        0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0,
        0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0,
    ],
    [
        0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1,
        1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0,
        0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1,
    ],
    [
        0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1,
        1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0,
        1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1,
    ],
    [
        0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0,
        1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1,
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