darkfi_sdk/crypto/constants/fixed_bases/

note_commit_r.rs

/* This file is part of DarkFi (https://dark.fi)
 *
 * Copyright (C) 2020-2025 Dyne.org foundation
 *
 * This program is free software: you can redistribute it and/or modify
 * it under the terms of the GNU Affero General Public License as
 * published by the Free Software Foundation, either version 3 of the
 * License, or (at your option) any later version.
 *
 * This program is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 * GNU Affero General Public License for more details.
 *
 * You should have received a copy of the GNU Affero General Public License
 * along with this program.  If not, see <https://www.gnu.org/licenses/>.
 */

use pasta_curves::{arithmetic::CurveAffine, group::ff::PrimeField, pallas};

/// Generator used in SinsemillaCommit randomness for note commitment
pub const GENERATOR: ([u8; 32], [u8; 32]) = (
    [
        19, 110, 252, 15, 72, 44, 2, 44, 124, 164, 20, 252, 92, 197, 158, 35, 242, 61, 111, 147,
        171, 159, 35, 205, 51, 69, 169, 40, 195, 6, 178, 38,
    ],
    [
        227, 55, 207, 34, 198, 83, 65, 195, 246, 220, 224, 35, 120, 192, 199, 121, 198, 225, 102,
        35, 47, 26, 84, 169, 76, 192, 109, 104, 75, 86, 222, 60,
    ],
);

/// Full-width z-values for GENERATOR
pub const Z: [u64; super::NUM_WINDOWS] = [
    253356, 149209, 114903, 10575, 6973, 30969, 55415, 206450, 18453, 24528, 13099, 213949, 29959,
    49929, 80867, 17465, 43715, 80241, 55983, 132629, 66101, 24136, 31372, 107975, 161748, 24107,
    72184, 9338, 232543, 13519, 33536, 32530, 130885, 41578, 18166, 91947, 59796, 35560, 5631,
    158600, 24695, 42654, 138331, 11268, 54733, 92869, 33770, 169166, 94853, 7006, 117687, 8073,
    11865, 15349, 186445, 7696, 25167, 30146, 277659, 53921, 19594, 41306, 30172, 8124, 46133,
    38659, 61965, 92134, 43958, 86662, 2047, 3542, 20976, 7411, 53574, 38271, 48233, 65338, 30516,
    41201, 40964, 8563, 36035, 6334, 176,
];

/// Full-width u-values for GENERATOR
pub static U: [[[u8; 32]; super::H]; super::NUM_WINDOWS] = [
    [
        [
            114, 245, 9, 0, 5, 43, 7, 118, 244, 43, 15, 200, 116, 210, 0, 24, 161, 28, 185, 152,
            216, 107, 69, 189, 146, 74, 72, 71, 79, 117, 226, 21,
        ],
        [
            198, 234, 165, 117, 60, 32, 158, 128, 245, 251, 167, 51, 94, 222, 84, 164, 93, 252, 6,
            172, 219, 79, 238, 23, 10, 251, 127, 190, 92, 247, 84, 7,
        ],
        [
            247, 1, 1, 220, 151, 35, 250, 127, 20, 73, 141, 158, 41, 239, 31, 53, 87, 128, 115, 67,
            105, 106, 106, 227, 24, 13, 193, 27, 11, 59, 156, 12,
        ],
        [
            182, 18, 28, 164, 222, 215, 93, 217, 191, 112, 205, 228, 10, 41, 225, 115, 16, 106,
            253, 86, 190, 158, 170, 163, 242, 182, 199, 91, 54, 66, 87, 45,
        ],
        [
            85, 233, 2, 251, 58, 85, 151, 41, 171, 17, 163, 129, 14, 53, 149, 170, 49, 242, 59, 95,
            195, 86, 152, 140, 191, 194, 135, 96, 61, 247, 224, 19,
        ],
        [
            9, 26, 141, 163, 30, 34, 167, 73, 162, 45, 13, 19, 213, 4, 222, 207, 61, 172, 202, 243,
            122, 40, 68, 21, 175, 213, 86, 213, 254, 227, 101, 15,
        ],
        [
            86, 112, 227, 11, 213, 132, 173, 162, 105, 136, 218, 34, 136, 252, 237, 146, 166, 198,
            142, 26, 59, 222, 162, 186, 51, 155, 102, 60, 62, 47, 222, 4,
        ],
        [
            86, 92, 45, 23, 81, 81, 61, 194, 172, 21, 21, 83, 38, 217, 43, 44, 235, 231, 88, 89,
            249, 41, 181, 159, 83, 22, 75, 138, 70, 126, 207, 16,
        ],
    ],
    [
        [
            54, 21, 251, 114, 55, 147, 20, 211, 33, 240, 173, 252, 164, 174, 133, 65, 206, 140, 93,
            20, 42, 49, 181, 104, 21, 120, 234, 196, 70, 100, 73, 42,
        ],
        [
            238, 4, 102, 31, 21, 150, 35, 139, 86, 204, 115, 87, 148, 16, 158, 189, 161, 53, 20,
            94, 238, 188, 243, 68, 91, 3, 117, 235, 245, 98, 110, 2,
        ],
        [
            71, 0, 3, 234, 114, 242, 86, 47, 159, 35, 98, 250, 218, 203, 192, 75, 15, 24, 202, 7,
            142, 99, 58, 79, 13, 158, 200, 188, 138, 62, 146, 46,
        ],
        [
            110, 160, 81, 239, 206, 110, 48, 235, 48, 53, 5, 146, 193, 225, 227, 102, 163, 114,
            159, 188, 166, 215, 24, 17, 124, 185, 233, 142, 97, 16, 247, 53,
        ],
        [
            5, 74, 101, 186, 155, 171, 161, 12, 114, 102, 185, 130, 202, 125, 97, 157, 214, 109,
            90, 55, 78, 151, 78, 233, 114, 32, 38, 167, 230, 47, 114, 43,
        ],
        [
            43, 145, 156, 91, 52, 42, 252, 255, 165, 106, 190, 113, 140, 48, 74, 56, 231, 74, 233,
            182, 111, 200, 49, 231, 139, 33, 38, 157, 185, 84, 190, 60,
        ],
        [
            35, 64, 214, 183, 170, 176, 163, 222, 136, 23, 64, 62, 90, 18, 25, 78, 171, 169, 203,
            242, 161, 64, 191, 204, 85, 79, 54, 130, 184, 99, 198, 38,
        ],
        [
            6, 238, 153, 49, 156, 138, 236, 90, 155, 111, 98, 17, 43, 249, 193, 244, 33, 204, 245,
            189, 174, 217, 152, 5, 133, 155, 139, 239, 164, 120, 180, 8,
        ],
    ],
    [
        [
            233, 129, 153, 212, 169, 73, 235, 118, 37, 78, 183, 222, 115, 222, 111, 212, 174, 24,
            102, 40, 189, 47, 223, 108, 201, 62, 19, 230, 93, 6, 207, 6,
        ],
        [
            10, 125, 165, 221, 218, 11, 142, 131, 27, 0, 193, 244, 189, 149, 150, 127, 192, 16,
            251, 0, 79, 224, 118, 106, 158, 229, 58, 190, 27, 199, 70, 44,
        ],
        [
            47, 93, 253, 7, 216, 219, 104, 144, 107, 172, 234, 91, 107, 52, 121, 5, 45, 214, 148,
            39, 118, 243, 128, 223, 42, 130, 88, 198, 89, 37, 10, 40,
        ],
        [
            24, 208, 204, 230, 65, 96, 241, 136, 121, 22, 15, 171, 27, 48, 41, 212, 157, 228, 185,
            202, 141, 243, 68, 217, 60, 108, 115, 188, 211, 131, 67, 41,
        ],
        [
            190, 202, 105, 68, 170, 47, 201, 132, 190, 190, 166, 225, 7, 107, 65, 69, 109, 193, 47,
            14, 223, 26, 63, 185, 78, 230, 218, 0, 146, 143, 144, 0,
        ],
        [
            166, 38, 45, 231, 156, 245, 176, 191, 52, 176, 212, 147, 13, 162, 132, 4, 8, 238, 204,
            24, 112, 250, 234, 42, 224, 153, 250, 69, 56, 41, 114, 34,
        ],
        [
            171, 36, 217, 169, 17, 204, 156, 28, 33, 25, 229, 73, 250, 40, 65, 166, 92, 68, 77,
            151, 246, 87, 239, 237, 47, 250, 65, 58, 41, 64, 29, 13,
        ],
        [
            17, 52, 107, 231, 186, 222, 120, 227, 138, 150, 6, 62, 222, 26, 253, 222, 252, 69, 140,
            137, 103, 210, 248, 27, 241, 171, 195, 56, 114, 101, 22, 6,
        ],
    ],
    [
        [
            167, 249, 74, 41, 45, 5, 43, 197, 190, 158, 48, 58, 214, 194, 196, 48, 163, 111, 197,
            83, 203, 83, 193, 101, 43, 228, 53, 170, 170, 190, 223, 22,
        ],
        [
            162, 191, 69, 35, 204, 166, 151, 23, 131, 224, 254, 194, 233, 234, 193, 6, 70, 175, 56,
            93, 247, 40, 95, 84, 133, 73, 73, 210, 110, 187, 131, 18,
        ],
        [
            86, 251, 193, 249, 206, 104, 190, 79, 14, 228, 247, 226, 227, 1, 142, 53, 81, 147, 128,
            242, 205, 74, 216, 186, 139, 15, 7, 103, 248, 58, 67, 38,
        ],
        [
            141, 211, 222, 46, 115, 150, 90, 79, 200, 197, 108, 95, 129, 77, 116, 216, 231, 125,
            21, 48, 248, 132, 112, 71, 112, 37, 146, 179, 113, 163, 176, 52,
        ],
        [
            118, 76, 20, 77, 119, 186, 56, 50, 222, 250, 197, 240, 220, 202, 194, 207, 254, 50, 5,
            161, 165, 0, 49, 111, 45, 160, 220, 7, 202, 110, 89, 50,
        ],
        [
            102, 37, 174, 173, 77, 58, 49, 245, 204, 1, 199, 86, 184, 110, 17, 46, 126, 117, 147,
            199, 52, 11, 59, 7, 23, 192, 10, 183, 9, 203, 47, 63,
        ],
        [
            80, 3, 3, 232, 195, 68, 22, 157, 76, 193, 50, 194, 229, 96, 221, 86, 166, 92, 177, 234,
            210, 181, 234, 159, 182, 146, 34, 172, 4, 135, 41, 44,
        ],
        [
            251, 99, 183, 95, 90, 221, 38, 54, 26, 124, 224, 152, 204, 56, 15, 10, 123, 235, 151,
            73, 105, 106, 24, 173, 164, 213, 225, 110, 98, 59, 133, 2,
        ],
    ],
    [
        [
            164, 185, 168, 158, 213, 198, 142, 64, 83, 152, 213, 11, 100, 189, 236, 113, 45, 181,
            112, 106, 135, 24, 198, 226, 203, 63, 78, 3, 226, 180, 74, 10,
        ],
        [
            189, 212, 60, 126, 110, 69, 152, 122, 85, 34, 9, 19, 22, 248, 13, 32, 135, 61, 19, 215,
            200, 213, 219, 231, 220, 119, 92, 75, 219, 5, 120, 40,
        ],
        [
            146, 245, 8, 160, 80, 125, 123, 131, 78, 50, 225, 183, 20, 25, 103, 1, 230, 84, 156,
            252, 244, 204, 172, 164, 252, 118, 213, 130, 204, 37, 91, 11,
        ],
        [
            142, 4, 206, 226, 62, 227, 19, 91, 196, 199, 182, 237, 73, 168, 222, 152, 4, 82, 70,
            114, 57, 114, 229, 181, 134, 59, 0, 208, 176, 183, 218, 30,
        ],
        [
            64, 30, 209, 160, 131, 75, 126, 41, 130, 105, 95, 99, 233, 182, 221, 1, 39, 231, 206,
            9, 47, 25, 170, 24, 14, 249, 62, 68, 42, 68, 198, 6,
        ],
        [
            171, 100, 218, 125, 75, 158, 24, 198, 25, 157, 232, 195, 15, 68, 34, 201, 219, 130,
            198, 107, 2, 101, 70, 250, 161, 168, 99, 10, 18, 233, 13, 24,
        ],
        [
            93, 226, 47, 214, 188, 46, 157, 237, 214, 49, 235, 173, 68, 33, 184, 57, 185, 165, 77,
            217, 205, 103, 160, 63, 235, 254, 153, 164, 215, 239, 24, 53,
        ],
        [
            168, 254, 143, 159, 235, 96, 14, 119, 152, 26, 156, 14, 149, 106, 16, 223, 73, 161,
            133, 220, 175, 139, 213, 210, 56, 30, 214, 161, 51, 20, 128, 17,
        ],
    ],
    [
        [
            90, 157, 237, 146, 6, 11, 72, 108, 27, 34, 77, 120, 242, 127, 35, 117, 189, 64, 45, 84,
            233, 127, 132, 119, 128, 130, 141, 201, 107, 122, 33, 62,
        ],
        [
            205, 110, 229, 214, 93, 107, 183, 211, 172, 82, 194, 10, 68, 115, 182, 64, 59, 197,
            153, 86, 34, 235, 12, 128, 63, 71, 215, 108, 109, 223, 137, 51,
        ],
        [
            215, 181, 7, 95, 143, 147, 43, 211, 208, 240, 5, 116, 105, 62, 141, 149, 67, 190, 237,
            211, 147, 81, 206, 163, 206, 127, 90, 89, 234, 173, 18, 43,
        ],
        [
            171, 227, 107, 54, 113, 175, 138, 78, 159, 26, 107, 241, 64, 57, 153, 114, 237, 92,
            166, 85, 165, 104, 112, 131, 66, 27, 243, 179, 236, 14, 13, 39,
        ],
        [
            74, 37, 91, 124, 254, 2, 191, 78, 0, 103, 90, 169, 99, 225, 232, 176, 213, 32, 172,
            134, 17, 146, 120, 74, 78, 79, 132, 142, 122, 222, 157, 45,
        ],
        [
            95, 6, 241, 174, 101, 194, 254, 44, 170, 149, 90, 122, 227, 137, 151, 143, 227, 35,
            116, 144, 162, 87, 53, 70, 57, 37, 5, 66, 238, 197, 203, 6,
        ],
        [
            114, 141, 200, 255, 187, 228, 255, 185, 248, 223, 241, 204, 71, 85, 159, 221, 108, 199,
            184, 101, 44, 141, 20, 17, 147, 245, 108, 154, 109, 126, 173, 52,
        ],
        [
            176, 218, 48, 106, 6, 126, 6, 176, 103, 206, 215, 132, 17, 182, 174, 147, 102, 173,
            109, 141, 172, 86, 46, 28, 60, 224, 186, 110, 209, 106, 131, 9,
        ],
    ],
    [
        [
            5, 64, 1, 52, 210, 89, 32, 189, 231, 103, 255, 195, 129, 226, 88, 38, 122, 54, 105, 83,
            102, 200, 148, 152, 55, 224, 238, 104, 64, 140, 40, 44,
        ],
        [
            18, 82, 230, 31, 144, 31, 240, 18, 127, 237, 48, 165, 173, 125, 216, 42, 162, 13, 28,
            124, 153, 18, 17, 45, 44, 176, 214, 60, 102, 153, 177, 18,
        ],
        [
            10, 199, 20, 92, 238, 49, 31, 43, 38, 104, 38, 113, 88, 32, 207, 71, 229, 34, 106, 126,
            43, 249, 24, 17, 160, 207, 133, 37, 148, 115, 158, 50,
        ],
        [
            221, 204, 123, 82, 227, 236, 230, 64, 31, 215, 60, 62, 158, 143, 0, 64, 155, 245, 217,
            56, 122, 32, 0, 101, 97, 50, 195, 253, 180, 102, 116, 54,
        ],
        [
            197, 157, 252, 45, 151, 7, 74, 165, 127, 57, 241, 132, 58, 148, 23, 25, 109, 28, 57,
            57, 13, 248, 90, 58, 251, 218, 152, 10, 130, 155, 145, 47,
        ],
        [
            206, 10, 180, 190, 173, 179, 139, 102, 34, 2, 20, 48, 56, 111, 227, 181, 51, 19, 215,
            182, 56, 33, 176, 226, 168, 79, 157, 199, 157, 171, 52, 36,
        ],
        [
            137, 140, 87, 36, 181, 252, 224, 59, 74, 44, 185, 157, 233, 12, 11, 156, 101, 254, 117,
            18, 170, 253, 63, 99, 86, 216, 76, 79, 41, 143, 158, 48,
        ],
        [
            125, 189, 147, 43, 201, 233, 79, 46, 181, 15, 208, 71, 166, 151, 8, 176, 113, 207, 120,
            143, 4, 233, 139, 219, 201, 39, 208, 28, 175, 67, 198, 9,
        ],
    ],
    [
        [
            22, 37, 53, 160, 237, 140, 57, 123, 148, 134, 144, 163, 194, 30, 81, 169, 197, 228, 71,
            38, 137, 208, 166, 114, 242, 79, 76, 62, 162, 120, 252, 14,
        ],
        [
            190, 105, 199, 169, 19, 226, 70, 173, 140, 172, 222, 75, 102, 132, 53, 177, 25, 6, 31,
            202, 0, 6, 243, 47, 53, 103, 175, 18, 201, 165, 9, 12,
        ],
        [
            106, 129, 69, 5, 170, 151, 240, 186, 237, 175, 20, 253, 40, 36, 236, 149, 101, 108,
            117, 163, 42, 3, 159, 177, 223, 198, 149, 23, 235, 129, 28, 59,
        ],
        [
            133, 72, 190, 211, 56, 227, 246, 179, 101, 144, 136, 137, 144, 142, 226, 105, 34, 78,
            109, 103, 159, 87, 255, 103, 169, 40, 239, 110, 131, 156, 159, 12,
        ],
        [
            245, 215, 211, 148, 84, 236, 188, 64, 63, 204, 85, 19, 186, 176, 159, 77, 234, 187, 87,
            224, 232, 22, 67, 84, 104, 130, 82, 181, 103, 186, 96, 36,
        ],
        [
            81, 145, 145, 5, 218, 219, 75, 245, 176, 51, 163, 96, 41, 53, 68, 66, 178, 46, 132,
            255, 156, 136, 171, 119, 128, 182, 9, 125, 159, 93, 6, 24,
        ],
        [
            174, 192, 45, 222, 156, 253, 141, 108, 134, 16, 64, 169, 140, 214, 116, 85, 206, 19,
            143, 90, 191, 122, 191, 50, 120, 242, 12, 250, 50, 89, 166, 1,
        ],
        [
            145, 122, 108, 141, 163, 122, 96, 198, 250, 29, 56, 173, 56, 129, 5, 192, 14, 164, 151,
            18, 232, 155, 23, 242, 150, 129, 184, 71, 42, 211, 34, 37,
        ],
    ],
    [
        [
            189, 187, 66, 97, 29, 216, 85, 51, 152, 120, 220, 104, 253, 201, 53, 132, 65, 240, 252,
            220, 227, 35, 99, 171, 171, 146, 144, 19, 202, 90, 91, 41,
        ],
        [
            72, 152, 255, 229, 122, 94, 187, 103, 248, 26, 154, 126, 54, 68, 234, 8, 202, 208, 155,
            99, 159, 223, 101, 8, 54, 217, 49, 98, 108, 149, 98, 24,
        ],
        [
            50, 232, 175, 207, 73, 18, 225, 218, 85, 236, 151, 102, 191, 232, 207, 250, 161, 234,
            137, 249, 42, 243, 65, 15, 150, 29, 21, 86, 102, 192, 26, 32,
        ],
        [
            40, 193, 12, 48, 4, 212, 39, 67, 231, 182, 218, 43, 11, 231, 75, 82, 24, 190, 132, 82,
            27, 169, 140, 214, 162, 122, 191, 110, 225, 207, 185, 43,
        ],
        [
            177, 1, 100, 87, 228, 136, 102, 8, 248, 170, 10, 58, 139, 21, 103, 168, 205, 234, 0,
            28, 226, 183, 78, 51, 60, 54, 35, 247, 130, 199, 233, 59,
        ],
        [
            181, 222, 23, 124, 138, 101, 61, 15, 49, 131, 173, 47, 224, 128, 118, 125, 66, 45, 68,
            180, 215, 53, 226, 11, 226, 177, 103, 246, 43, 29, 102, 5,
        ],
        [
            64, 123, 98, 247, 117, 240, 66, 217, 174, 246, 81, 150, 232, 133, 87, 229, 154, 43,
            124, 143, 114, 78, 96, 39, 149, 89, 66, 131, 238, 217, 127, 8,
        ],
        [
            115, 22, 38, 108, 115, 205, 105, 132, 105, 23, 113, 198, 46, 49, 30, 219, 57, 177, 189,
            77, 143, 24, 58, 146, 219, 20, 25, 218, 0, 190, 172, 23,
        ],
    ],
    [
        [
            166, 199, 164, 173, 14, 58, 189, 169, 19, 8, 20, 217, 59, 6, 227, 254, 3, 142, 27, 136,
            252, 193, 94, 100, 59, 223, 58, 195, 186, 240, 4, 53,
        ],
        [
            157, 20, 32, 77, 161, 28, 25, 124, 24, 76, 50, 122, 214, 108, 34, 240, 252, 230, 170,
            213, 153, 250, 131, 108, 176, 84, 218, 246, 108, 45, 198, 10,
        ],
        [
            124, 234, 207, 196, 216, 43, 64, 63, 61, 246, 48, 162, 149, 214, 6, 195, 194, 116, 146,
            100, 169, 48, 64, 96, 106, 124, 215, 221, 87, 77, 185, 63,
        ],
        [
            180, 35, 0, 153, 18, 168, 15, 109, 149, 209, 175, 145, 171, 236, 80, 140, 70, 253, 113,
            127, 49, 137, 73, 116, 18, 135, 81, 199, 186, 178, 36, 18,
        ],
        [
            124, 24, 76, 143, 58, 111, 89, 209, 97, 164, 199, 85, 178, 211, 185, 32, 102, 11, 228,
            36, 191, 135, 71, 111, 163, 74, 109, 215, 152, 144, 47, 41,
        ],
        [
            150, 183, 97, 110, 78, 33, 125, 152, 170, 254, 153, 118, 243, 79, 96, 147, 244, 171,
            107, 192, 173, 19, 8, 252, 153, 34, 220, 25, 32, 238, 234, 20,
        ],
        [
            142, 28, 82, 170, 186, 139, 148, 129, 61, 162, 120, 138, 168, 8, 244, 53, 249, 80, 4,
            142, 211, 117, 188, 204, 11, 255, 178, 96, 230, 193, 245, 0,
        ],
        [
            198, 214, 148, 238, 200, 11, 130, 194, 168, 46, 236, 82, 165, 75, 3, 19, 160, 232, 216,
            70, 191, 29, 164, 144, 57, 60, 58, 212, 128, 226, 152, 24,
        ],
    ],
    [
        [
            6, 94, 153, 100, 45, 112, 206, 104, 159, 95, 4, 92, 175, 185, 180, 113, 250, 110, 67,
            166, 94, 228, 126, 186, 236, 64, 252, 84, 134, 208, 99, 17,
        ],
        [
            134, 224, 207, 111, 61, 213, 5, 165, 226, 79, 208, 198, 130, 192, 89, 149, 242, 47, 53,
            50, 206, 109, 157, 243, 99, 129, 215, 75, 181, 144, 117, 58,
        ],
        [
            155, 174, 69, 67, 171, 111, 186, 235, 235, 192, 162, 14, 114, 66, 8, 99, 226, 82, 31,
            134, 213, 214, 115, 222, 214, 211, 229, 184, 153, 7, 31, 13,
        ],
        [
            181, 100, 30, 150, 176, 114, 167, 164, 173, 245, 138, 179, 201, 206, 116, 110, 33, 245,
            104, 230, 172, 144, 182, 39, 160, 1, 55, 170, 171, 14, 97, 36,
        ],
        [
            27, 182, 3, 193, 6, 114, 63, 211, 213, 111, 123, 204, 119, 182, 64, 168, 191, 189, 236,
            169, 62, 102, 46, 10, 66, 233, 108, 95, 156, 5, 2, 17,
        ],
        [
            252, 184, 10, 162, 39, 90, 220, 172, 255, 246, 129, 43, 70, 137, 87, 55, 3, 197, 79,
            110, 208, 179, 213, 197, 8, 97, 207, 114, 63, 16, 35, 19,
        ],
        [
            114, 84, 84, 248, 14, 96, 220, 105, 180, 236, 142, 134, 58, 183, 46, 126, 117, 238, 59,
            233, 31, 32, 166, 80, 31, 170, 87, 81, 239, 167, 243, 20,
        ],
        [
            70, 228, 140, 132, 194, 68, 145, 7, 226, 237, 165, 98, 214, 101, 204, 127, 42, 36, 184,
            82, 253, 192, 72, 225, 215, 205, 242, 162, 212, 113, 64, 21,
        ],
    ],
    [
        [
            88, 195, 125, 176, 127, 155, 224, 36, 205, 80, 207, 184, 175, 242, 195, 101, 204, 77,
            215, 121, 230, 220, 29, 57, 131, 164, 115, 230, 76, 211, 215, 23,
        ],
        [
            213, 195, 189, 198, 199, 49, 198, 15, 92, 101, 87, 99, 207, 99, 186, 213, 229, 179, 69,
            71, 41, 140, 203, 153, 22, 155, 214, 226, 130, 175, 156, 62,
        ],
        [
            166, 117, 91, 218, 251, 30, 251, 111, 174, 234, 219, 158, 177, 73, 166, 88, 204, 53,
            27, 49, 235, 95, 205, 250, 155, 196, 152, 217, 130, 56, 145, 51,
        ],
        [
            12, 180, 50, 125, 157, 91, 123, 81, 184, 183, 48, 213, 87, 185, 233, 171, 55, 204, 113,
            238, 197, 226, 30, 163, 183, 131, 36, 135, 210, 12, 197, 42,
        ],
        [
            175, 205, 39, 140, 182, 198, 178, 47, 247, 108, 237, 249, 97, 233, 180, 95, 123, 109,
            1, 227, 242, 234, 128, 66, 217, 225, 8, 216, 228, 135, 20, 46,
        ],
        [
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        [
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        [
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        [
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        [
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        [
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        [
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    [
        [
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        [
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        [
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        [
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        [
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        [
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        [
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        [
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        [
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        [
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        [
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    [
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        [
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        [
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        [
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        [
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        [
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        [
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    [
        [
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        [
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        [
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        [
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        [
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        [
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        [
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        [
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        [
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    [
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        [
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        ],
        [
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        [
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        [
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        [
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        [
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        [
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    [
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        [
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        [
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        [
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        [
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        [
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        [
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        [
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    [
        [
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        [
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        [
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        [
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        [
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        ],
        [
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        [
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        ],
        [
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    [
        [
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        [
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        ],
        [
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        [
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        [
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        [
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        [
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        [
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        [
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        [
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        [
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        [
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        [
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        [
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        [
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        [
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        [
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        [
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        [
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        [
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    [
        [
            100, 246, 118, 128, 108, 93, 29, 54, 43, 222, 151, 194, 22, 167, 184, 64, 178, 30, 254,
            104, 231, 101, 219, 176, 100, 66, 227, 21, 60, 56, 141, 30,
        ],
        [
            25, 82, 5, 57, 97, 112, 70, 14, 177, 181, 80, 33, 243, 121, 214, 125, 15, 56, 54, 178,
            173, 129, 105, 53, 204, 161, 47, 31, 104, 212, 113, 30,
        ],
        [
            165, 241, 162, 162, 146, 225, 123, 214, 227, 9, 94, 232, 224, 33, 220, 126, 140, 230,
            100, 6, 146, 206, 32, 87, 34, 226, 9, 137, 94, 24, 29, 56,
        ],
        [
            210, 204, 192, 45, 111, 180, 6, 42, 143, 142, 209, 66, 70, 70, 165, 125, 177, 136, 61,
            170, 218, 137, 47, 140, 145, 98, 97, 201, 242, 38, 159, 13,
        ],
        [
            145, 131, 248, 82, 176, 63, 234, 187, 225, 244, 68, 228, 160, 221, 168, 229, 196, 111,
            210, 249, 182, 190, 50, 110, 79, 189, 198, 201, 186, 177, 167, 22,
        ],
        [
            64, 115, 113, 246, 255, 216, 234, 56, 117, 195, 120, 55, 240, 134, 160, 169, 39, 37,
            80, 157, 183, 5, 183, 141, 102, 99, 209, 75, 179, 115, 212, 40,
        ],
        [
            168, 252, 46, 212, 207, 192, 61, 237, 74, 29, 184, 78, 230, 155, 18, 104, 17, 182, 192,
            138, 131, 165, 221, 197, 28, 227, 210, 173, 81, 160, 166, 58,
        ],
        [
            77, 53, 146, 43, 89, 3, 223, 140, 112, 124, 116, 255, 250, 126, 220, 113, 46, 150, 26,
            249, 193, 109, 169, 1, 91, 73, 98, 140, 174, 75, 63, 15,
        ],
    ],
    [
        [
            27, 205, 44, 170, 203, 156, 219, 207, 220, 128, 50, 89, 195, 109, 65, 110, 108, 8, 55,
            253, 180, 73, 204, 109, 234, 238, 167, 255, 123, 234, 84, 24,
        ],
        [
            127, 219, 25, 52, 81, 140, 114, 75, 213, 68, 108, 1, 95, 51, 226, 118, 149, 197, 171,
            220, 251, 33, 88, 169, 50, 122, 38, 100, 3, 102, 47, 31,
        ],
        [
            116, 246, 165, 168, 166, 54, 240, 34, 61, 44, 75, 36, 18, 76, 242, 135, 212, 88, 133,
            169, 34, 137, 102, 214, 6, 14, 5, 61, 212, 36, 247, 51,
        ],
        [
            181, 3, 99, 237, 164, 47, 170, 88, 174, 148, 98, 149, 163, 57, 231, 192, 105, 214, 110,
            164, 11, 208, 98, 230, 184, 137, 159, 127, 173, 163, 196, 36,
        ],
        [
            62, 15, 190, 131, 36, 208, 162, 22, 187, 30, 242, 168, 211, 115, 26, 134, 153, 102, 79,
            19, 117, 123, 31, 37, 200, 237, 190, 49, 222, 82, 194, 6,
        ],
        [
            130, 193, 193, 11, 20, 203, 1, 24, 41, 18, 242, 33, 158, 52, 92, 183, 150, 111, 127,
            153, 106, 13, 55, 96, 121, 87, 76, 174, 91, 50, 8, 21,
        ],
        [
            25, 206, 189, 81, 111, 245, 100, 197, 220, 52, 174, 171, 137, 120, 124, 247, 234, 110,
            216, 252, 100, 114, 82, 52, 23, 134, 212, 218, 74, 119, 94, 20,
        ],
        [
            222, 24, 83, 2, 137, 110, 39, 174, 67, 16, 243, 169, 132, 178, 196, 239, 153, 218, 85,
            165, 204, 160, 193, 202, 190, 116, 134, 156, 227, 79, 126, 31,
        ],
    ],
    [
        [
            78, 127, 250, 132, 73, 120, 250, 80, 235, 105, 226, 127, 217, 64, 142, 70, 102, 179,
            220, 176, 43, 150, 213, 22, 220, 27, 16, 110, 202, 206, 150, 2,
        ],
        [
            59, 135, 36, 89, 92, 38, 243, 89, 157, 94, 193, 187, 36, 198, 31, 210, 144, 172, 169,
            226, 100, 166, 162, 107, 179, 124, 242, 58, 192, 181, 120, 31,
        ],
        [
            244, 226, 171, 215, 32, 82, 150, 4, 29, 112, 228, 54, 44, 49, 219, 85, 165, 229, 235,
            179, 29, 52, 144, 132, 17, 254, 63, 120, 60, 4, 33, 28,
        ],
        [
            94, 250, 234, 126, 51, 236, 214, 132, 207, 148, 71, 2, 99, 254, 12, 161, 167, 46, 79,
            54, 232, 205, 208, 140, 236, 34, 79, 62, 195, 152, 152, 44,
        ],
        [
            236, 54, 144, 91, 214, 215, 143, 43, 147, 135, 206, 43, 142, 33, 216, 123, 160, 20,
            128, 138, 19, 57, 31, 213, 191, 145, 230, 241, 196, 67, 228, 45,
        ],
        [
            209, 246, 124, 2, 205, 158, 164, 155, 232, 52, 224, 121, 49, 167, 125, 186, 64, 190,
            110, 213, 253, 154, 230, 8, 203, 72, 208, 156, 224, 14, 26, 36,
        ],
        [
            2, 163, 112, 13, 243, 117, 175, 20, 37, 74, 70, 184, 159, 43, 64, 58, 196, 60, 58, 97,
            217, 56, 155, 232, 182, 122, 231, 235, 63, 244, 85, 54,
        ],
        [
            198, 207, 127, 56, 2, 173, 97, 18, 140, 235, 98, 17, 74, 58, 229, 135, 107, 233, 107,
            97, 101, 167, 19, 153, 50, 196, 142, 26, 74, 12, 31, 24,
        ],
    ],
    [
        [
            27, 63, 161, 142, 183, 196, 17, 99, 100, 98, 158, 20, 142, 103, 84, 220, 11, 21, 113,
            159, 248, 107, 32, 78, 227, 20, 95, 12, 63, 74, 188, 50,
        ],
        [
            202, 124, 66, 161, 185, 74, 107, 125, 210, 209, 173, 82, 129, 191, 17, 80, 68, 23, 17,
            109, 138, 102, 163, 219, 39, 177, 231, 178, 186, 189, 100, 41,
        ],
        [
            165, 199, 235, 218, 57, 201, 68, 38, 225, 8, 202, 8, 122, 10, 9, 3, 108, 9, 192, 10,
            77, 228, 225, 137, 192, 34, 172, 150, 3, 144, 72, 50,
        ],
        [
            243, 144, 241, 83, 19, 129, 69, 136, 39, 17, 21, 64, 217, 91, 137, 38, 123, 162, 240,
            193, 242, 181, 40, 21, 87, 126, 38, 49, 184, 28, 16, 7,
        ],
        [
            238, 195, 172, 123, 53, 111, 247, 70, 103, 77, 54, 97, 229, 183, 174, 143, 101, 174,
            158, 2, 5, 2, 30, 76, 208, 223, 129, 66, 119, 241, 118, 17,
        ],
        [
            94, 251, 39, 193, 48, 215, 167, 73, 107, 136, 251, 46, 162, 178, 167, 131, 148, 160,
            247, 72, 132, 67, 69, 217, 32, 144, 252, 60, 155, 172, 213, 11,
        ],
        [
            136, 203, 58, 211, 248, 4, 150, 29, 122, 226, 157, 183, 129, 29, 48, 15, 99, 138, 246,
            99, 67, 146, 78, 105, 219, 58, 247, 132, 205, 250, 234, 13,
        ],
        [
            131, 246, 106, 110, 134, 217, 32, 180, 116, 227, 242, 87, 223, 171, 248, 156, 56, 249,
            118, 66, 102, 195, 13, 122, 117, 15, 166, 104, 223, 110, 200, 38,
        ],
    ],
    [
        [
            248, 41, 85, 64, 78, 103, 70, 171, 95, 20, 190, 196, 220, 19, 20, 34, 203, 240, 224,
            22, 20, 168, 71, 249, 105, 188, 34, 115, 181, 131, 207, 26,
        ],
        [
            130, 35, 15, 37, 46, 188, 165, 135, 236, 67, 238, 130, 228, 16, 12, 182, 223, 202, 150,
            47, 130, 124, 225, 5, 183, 157, 197, 97, 133, 28, 77, 6,
        ],
        [
            200, 136, 113, 135, 204, 108, 67, 234, 187, 200, 171, 194, 9, 124, 29, 232, 155, 249,
            23, 190, 69, 94, 168, 236, 104, 122, 134, 228, 92, 98, 135, 15,
        ],
        [
            40, 64, 67, 103, 146, 167, 207, 42, 161, 242, 39, 181, 77, 11, 239, 91, 33, 194, 4,
            143, 210, 181, 34, 134, 240, 253, 73, 170, 44, 240, 204, 60,
        ],
        [
            251, 77, 3, 112, 185, 64, 10, 145, 1, 112, 49, 180, 162, 46, 158, 133, 19, 73, 150,
            189, 121, 207, 13, 244, 198, 103, 144, 22, 66, 97, 93, 20,
        ],
        [
            127, 204, 42, 168, 86, 226, 173, 153, 6, 106, 143, 186, 137, 126, 128, 239, 134, 108,
            77, 33, 189, 136, 242, 212, 142, 45, 206, 210, 159, 136, 78, 12,
        ],
        [
            15, 253, 114, 72, 101, 192, 37, 62, 200, 113, 200, 20, 58, 212, 84, 36, 71, 29, 81,
            225, 177, 24, 48, 98, 16, 4, 235, 72, 37, 79, 154, 60,
        ],
        [
            153, 113, 168, 211, 229, 185, 26, 190, 217, 41, 18, 202, 163, 69, 193, 138, 93, 70, 45,
            180, 29, 242, 126, 146, 176, 107, 25, 21, 253, 61, 191, 36,
        ],
    ],
    [
        [
            246, 253, 20, 245, 213, 217, 176, 5, 165, 120, 172, 185, 67, 63, 124, 64, 27, 206, 210,
            204, 46, 74, 6, 24, 213, 23, 24, 173, 66, 6, 232, 7,
        ],
        [
            186, 109, 215, 209, 176, 2, 5, 129, 174, 195, 12, 193, 252, 117, 125, 60, 202, 235, 90,
            58, 214, 95, 228, 254, 112, 219, 85, 209, 23, 135, 95, 56,
        ],
        [
            148, 69, 223, 63, 194, 200, 74, 105, 138, 211, 153, 65, 156, 196, 218, 23, 227, 33,
            197, 145, 61, 189, 254, 92, 219, 252, 232, 247, 238, 135, 155, 25,
        ],
        [
            16, 74, 65, 243, 138, 145, 137, 152, 228, 22, 218, 130, 235, 43, 33, 254, 132, 238,
            221, 161, 148, 92, 148, 30, 29, 84, 186, 39, 228, 47, 56, 44,
        ],
        [
            114, 111, 3, 54, 230, 233, 73, 242, 188, 183, 225, 49, 201, 217, 39, 206, 215, 138, 72,
            191, 187, 215, 115, 117, 156, 251, 68, 31, 186, 218, 56, 62,
        ],
        [
            174, 161, 85, 223, 12, 89, 158, 140, 24, 219, 99, 174, 136, 215, 56, 209, 179, 109, 87,
            118, 194, 55, 18, 230, 34, 87, 235, 151, 247, 40, 15, 9,
        ],
        [
            188, 199, 8, 222, 231, 93, 94, 85, 25, 248, 96, 68, 134, 135, 102, 132, 189, 31, 19,
            187, 49, 97, 47, 124, 106, 216, 69, 133, 160, 167, 141, 62,
        ],
        [
            158, 55, 224, 15, 244, 146, 13, 184, 185, 172, 203, 161, 20, 202, 230, 1, 78, 165, 72,
            73, 127, 2, 36, 55, 110, 119, 241, 238, 23, 86, 241, 23,
        ],
    ],
    [
        [
            135, 127, 214, 177, 50, 175, 15, 156, 209, 192, 69, 139, 50, 0, 233, 92, 181, 39, 10,
            69, 65, 8, 254, 137, 208, 22, 174, 245, 220, 39, 224, 49,
        ],
        [
            89, 164, 61, 68, 166, 224, 4, 27, 209, 222, 1, 46, 57, 173, 182, 122, 135, 238, 56,
            170, 111, 216, 230, 184, 201, 196, 196, 111, 52, 252, 149, 31,
        ],
        [
            44, 67, 177, 56, 207, 234, 197, 117, 53, 180, 148, 180, 138, 63, 54, 133, 255, 80, 171,
            53, 5, 133, 46, 157, 122, 49, 143, 26, 210, 189, 190, 56,
        ],
        [
            97, 11, 237, 129, 221, 220, 1, 91, 199, 236, 87, 251, 50, 166, 242, 156, 29, 149, 195,
            211, 215, 89, 109, 129, 216, 39, 165, 199, 238, 33, 118, 18,
        ],
        [
            173, 167, 107, 119, 184, 254, 187, 104, 208, 100, 103, 46, 4, 153, 8, 135, 55, 157, 79,
            182, 182, 244, 11, 141, 124, 43, 93, 138, 221, 251, 107, 61,
        ],
        [
            35, 15, 241, 4, 169, 175, 97, 122, 64, 8, 38, 135, 20, 128, 36, 135, 7, 241, 86, 36,
            227, 18, 58, 52, 156, 65, 251, 13, 51, 40, 1, 62,
        ],
        [
            51, 214, 155, 250, 163, 83, 17, 145, 93, 141, 84, 108, 188, 234, 73, 63, 21, 220, 19,
            70, 34, 254, 118, 13, 101, 146, 8, 159, 246, 201, 62, 9,
        ],
        [
            42, 79, 34, 69, 94, 116, 129, 61, 198, 162, 167, 131, 186, 165, 197, 204, 39, 114, 19,
            170, 141, 174, 239, 143, 233, 204, 27, 176, 172, 62, 211, 19,
        ],
    ],
    [
        [
            11, 146, 12, 170, 203, 61, 124, 253, 186, 30, 3, 132, 3, 164, 20, 218, 152, 38, 222,
            27, 241, 100, 118, 24, 108, 196, 164, 220, 168, 167, 65, 43,
        ],
        [
            56, 137, 74, 113, 79, 61, 238, 6, 241, 48, 30, 175, 59, 105, 39, 66, 42, 235, 181, 21,
            93, 90, 98, 121, 104, 211, 8, 30, 95, 51, 143, 17,
        ],
        [
            60, 233, 97, 79, 255, 211, 206, 175, 40, 250, 215, 143, 238, 202, 102, 55, 30, 120, 62,
            152, 92, 135, 110, 174, 8, 230, 16, 108, 211, 6, 76, 48,
        ],
        [
            150, 98, 90, 96, 10, 194, 174, 119, 245, 44, 32, 222, 185, 134, 169, 110, 150, 234,
            207, 3, 247, 241, 123, 96, 227, 44, 194, 88, 206, 67, 79, 60,
        ],
        [
            231, 190, 200, 68, 220, 134, 95, 81, 234, 146, 172, 193, 126, 114, 165, 46, 10, 32,
            188, 216, 92, 197, 110, 121, 224, 230, 85, 185, 195, 221, 182, 43,
        ],
        [
            136, 228, 204, 68, 47, 198, 41, 175, 24, 45, 174, 97, 56, 168, 205, 226, 158, 67, 146,
            78, 214, 241, 137, 115, 247, 95, 3, 43, 191, 50, 72, 8,
        ],
        [
            252, 139, 167, 182, 91, 54, 101, 249, 218, 222, 216, 145, 121, 148, 42, 239, 125, 253,
            192, 157, 169, 4, 134, 248, 242, 176, 20, 70, 253, 215, 235, 10,
        ],
        [
            122, 194, 254, 40, 70, 70, 110, 39, 34, 206, 80, 159, 44, 21, 73, 57, 96, 107, 154, 37,
            162, 44, 188, 179, 64, 145, 122, 9, 170, 208, 180, 42,
        ],
    ],
    [
        [
            140, 93, 7, 187, 156, 138, 71, 223, 25, 250, 16, 248, 240, 31, 202, 232, 177, 222, 30,
            229, 189, 102, 196, 144, 189, 121, 65, 16, 249, 168, 130, 42,
        ],
        [
            111, 180, 120, 71, 245, 37, 82, 193, 217, 93, 132, 203, 59, 47, 30, 247, 231, 188, 194,
            215, 197, 25, 185, 86, 89, 33, 212, 138, 138, 126, 129, 40,
        ],
        [
            156, 59, 188, 165, 192, 116, 8, 175, 249, 205, 27, 121, 79, 17, 148, 80, 75, 228, 1,
            107, 20, 121, 226, 166, 82, 171, 242, 115, 149, 163, 96, 60,
        ],
        [
            45, 235, 1, 13, 44, 236, 199, 11, 58, 20, 32, 81, 144, 62, 102, 97, 31, 14, 155, 161,
            193, 6, 141, 114, 110, 193, 54, 254, 148, 188, 62, 25,
        ],
        [
            121, 92, 222, 72, 218, 89, 183, 106, 4, 64, 223, 224, 171, 98, 19, 105, 146, 15, 179,
            92, 172, 246, 197, 249, 51, 137, 124, 218, 98, 21, 105, 15,
        ],
        [
            171, 221, 122, 139, 130, 21, 237, 201, 5, 138, 198, 110, 44, 60, 79, 49, 185, 87, 190,
            128, 122, 241, 184, 31, 77, 60, 167, 95, 209, 122, 194, 49,
        ],
        [
            3, 199, 82, 229, 54, 214, 97, 104, 6, 223, 90, 80, 207, 165, 154, 190, 228, 253, 248,
            89, 72, 20, 183, 139, 172, 180, 81, 7, 179, 47, 163, 43,
        ],
        [
            23, 206, 138, 108, 6, 214, 33, 144, 242, 253, 75, 234, 133, 244, 122, 168, 41, 181,
            167, 62, 99, 40, 18, 100, 20, 61, 142, 234, 208, 41, 17, 34,
        ],
    ],
];

pub fn generator() -> pallas::Affine {
    pallas::Affine::from_xy(
        pallas::Base::from_repr(GENERATOR.0).unwrap(),
        pallas::Base::from_repr(GENERATOR.1).unwrap(),
    )
    .unwrap()
}

#[cfg(test)]
mod tests {
    use super::{
        super::{NOTE_COMMITMENT_PERSONALIZATION, NUM_WINDOWS},
        *,
    };
    use halo2_gadgets::{
        ecc::chip::constants::{test_lagrange_coeffs, test_zs_and_us},
        sinsemilla::primitives::CommitDomain,
    };

    use pasta_curves::group::Curve;

    #[test]
    fn generator() {
        let domain = CommitDomain::new(NOTE_COMMITMENT_PERSONALIZATION);
        let point = domain.R();
        let coords = point.to_affine().coordinates().unwrap();

        assert_eq!(*coords.x(), pallas::Base::from_repr(GENERATOR.0).unwrap());
        assert_eq!(*coords.y(), pallas::Base::from_repr(GENERATOR.1).unwrap());
    }

    #[test]
    fn lagrange_coeffs() {
        let base = super::generator();
        test_lagrange_coeffs(base, NUM_WINDOWS);
    }

    #[test]
    fn z() {
        let base = super::generator();
        test_zs_and_us(base, &Z, &U, NUM_WINDOWS);
    }
}