rav2d 0.3.0

// Copyright (c) 2018-2026, VideoLAN and dav2d authors
// Copyright (c) 2018-2026, Two Orioles, LLC
// All rights reserved.
//
// Redistribution and use in source and binary forms, with or without
// modification, are permitted provided that the following conditions are met:
//
// 1. Redistributions of source code must retain the above copyright notice, this
//    list of conditions and the following disclaimer.
//
// 2. Redistributions in binary form must reproduce the above copyright notice,
//    this list of conditions and the following disclaimer in the documentation
//    and/or other materials provided with the distribution.
//
// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
// ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
// WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
// DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
// ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
// (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
// LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
// ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
// (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.

use crate::levels::{RectTxfmSize, TxfmSize};

/// Dequantization lookup function.
///
/// Maps a quantizer index to a dequantization value.
pub fn dq_lookup(qidx: i32) -> i32 {
    if qidx == 0 {
        return 64;
    }
    let qidx = qidx - 1;
    let shift = qidx / 24;
    let qidx = (qidx % 24) as usize;
    static DQ_LOOKUP_TBL: [u8; 24] = [
        40, 41, 43, 44, 45, 47, 48, 49, 51, 52, 54, 55, 57, 59, 60, 62, 64, 66, 68, 70, 72, 74, 76,
        78,
    ];
    (DQ_LOOKUP_TBL[qidx] as i32) << shift
}

// Source data: 15 quantizer matrix levels x 2 planes x 512 values (32 cols x 16 rows)
#[allow(clippy::unreadable_literal)]
static QM_TBL_32X16: [[[u8; 512]; 2]; 15] = [
    [
        [
            32, 31, 31, 31, 32, 32, 34, 35, 36, 39, 44, 46, 48, 53, 58, 61, 65, 71, 79, 81, 82, 88,
            91, 94, 97, 100, 103, 107, 110, 114, 118, 122, 31, 32, 32, 32, 32, 33, 34, 34, 34, 37,
            41, 43, 45, 49, 54, 57, 60, 65, 72, 74, 75, 80, 83, 85, 88, 91, 94, 97, 101, 104, 108,
            111, 32, 32, 33, 33, 34, 35, 37, 37, 38, 40, 43, 44, 46, 50, 54, 56, 58, 63, 70, 71,
            72, 77, 80, 83, 86, 89, 93, 96, 100, 104, 107, 111, 34, 34, 33, 34, 35, 37, 39, 41, 43,
            45, 48, 49, 51, 54, 58, 60, 63, 68, 74, 75, 76, 80, 81, 82, 85, 87, 90, 93, 97, 100,
            103, 107, 36, 35, 34, 35, 36, 38, 42, 45, 48, 50, 53, 55, 56, 60, 63, 66, 68, 73, 79,
            80, 81, 85, 88, 91, 94, 97, 98, 100, 101, 103, 105, 107, 44, 42, 41, 41, 42, 42, 48,
            50, 54, 58, 63, 65, 67, 71, 75, 77, 79, 84, 90, 91, 92, 97, 100, 100, 100, 100, 101,
            104, 108, 112, 115, 119, 53, 51, 49, 49, 50, 49, 54, 57, 60, 65, 71, 73, 76, 82, 87,
            89, 92, 97, 104, 105, 106, 108, 106, 105, 107, 111, 114, 117, 117, 117, 118, 119, 59,
            56, 54, 54, 54, 53, 58, 61, 64, 69, 75, 78, 80, 87, 92, 95, 98, 103, 110, 112, 113,
            115, 114, 118, 123, 121, 120, 119, 123, 127, 131, 136, 65, 62, 59, 59, 59, 58, 63, 65,
            68, 73, 79, 82, 85, 92, 98, 101, 105, 111, 118, 119, 121, 126, 130, 131, 128, 127, 131,
            136, 138, 137, 136, 136, 79, 75, 72, 71, 71, 69, 73, 76, 78, 84, 90, 93, 96, 103, 110,
            114, 118, 125, 133, 135, 136, 142, 142, 137, 140, 145, 144, 142, 141, 146, 151, 156,
            87, 82, 78, 78, 77, 75, 79, 82, 84, 89, 95, 98, 102, 109, 116, 120, 124, 132, 141, 142,
            144, 149, 148, 153, 157, 152, 150, 155, 161, 159, 157, 156, 90, 85, 82, 81, 80, 78, 78,
            83, 87, 89, 93, 100, 102, 107, 115, 118, 123, 132, 136, 140, 151, 153, 155, 160, 161,
            164, 170, 168, 165, 167, 172, 178, 93, 88, 86, 84, 82, 82, 80, 84, 86, 91, 94, 98, 105,
            107, 112, 119, 122, 130, 135, 140, 149, 153, 162, 165, 167, 173, 174, 177, 183, 185,
            182, 179, 96, 91, 90, 87, 86, 86, 83, 84, 89, 91, 95, 100, 102, 110, 111, 118, 123,
            128, 135, 138, 149, 152, 160, 167, 173, 178, 180, 187, 188, 190, 197, 203, 99, 94, 93,
            90, 89, 89, 88, 87, 90, 93, 97, 99, 105, 107, 115, 116, 124, 127, 135, 139, 146, 152,
            159, 166, 171, 182, 186, 191, 193, 201, 203, 204, 102, 97, 97, 93, 93, 92, 92, 90, 90,
            96, 97, 103, 104, 111, 112, 120, 121, 130, 131, 142, 143, 154, 155, 168, 169, 181, 183,
            198, 200, 206, 208, 217,
        ],
        [
            32, 31, 30, 32, 33, 37, 42, 45, 49, 48, 49, 49, 50, 52, 54, 55, 57, 60, 63, 64, 64, 67,
            68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 31, 31, 32, 34, 36, 40, 43, 44, 46, 46, 45, 46,
            46, 48, 50, 51, 52, 54, 57, 58, 59, 61, 62, 62, 63, 64, 65, 66, 67, 68, 69, 70, 37, 38,
            40, 41, 43, 47, 47, 47, 48, 47, 46, 46, 46, 47, 49, 49, 50, 52, 55, 55, 56, 58, 59, 60,
            62, 63, 64, 65, 67, 68, 69, 70, 42, 42, 42, 44, 45, 47, 48, 49, 50, 50, 49, 49, 50, 50,
            52, 52, 53, 55, 58, 58, 58, 60, 60, 60, 60, 61, 62, 63, 64, 65, 66, 67, 48, 47, 46, 46,
            47, 47, 50, 51, 53, 53, 53, 53, 54, 54, 55, 56, 56, 58, 60, 61, 61, 63, 64, 65, 66, 67,
            66, 66, 66, 66, 67, 67, 49, 47, 45, 45, 46, 45, 49, 51, 53, 56, 58, 59, 59, 61, 62, 63,
            64, 65, 67, 68, 68, 69, 71, 70, 69, 68, 68, 69, 70, 71, 72, 73, 52, 50, 48, 48, 47, 47,
            50, 52, 54, 57, 61, 62, 64, 66, 68, 69, 70, 72, 75, 75, 75, 76, 74, 72, 73, 74, 75, 75,
            74, 74, 73, 73, 54, 52, 50, 49, 49, 48, 52, 54, 55, 59, 62, 64, 65, 68, 71, 72, 73, 75,
            78, 78, 79, 79, 78, 79, 81, 79, 78, 76, 77, 78, 80, 81, 57, 54, 52, 51, 51, 50, 53, 55,
            57, 60, 64, 65, 67, 71, 73, 75, 76, 79, 82, 82, 83, 85, 86, 85, 83, 82, 83, 84, 84, 83,
            82, 81, 63, 60, 57, 57, 56, 54, 57, 59, 60, 64, 67, 69, 71, 75, 78, 80, 82, 85, 89, 89,
            90, 92, 91, 88, 89, 90, 89, 87, 86, 87, 88, 90, 66, 63, 60, 59, 59, 57, 60, 61, 62, 66,
            69, 71, 73, 77, 80, 82, 84, 88, 92, 92, 93, 95, 94, 95, 96, 93, 92, 93, 94, 93, 91, 90,
            67, 64, 62, 61, 60, 58, 58, 61, 63, 65, 67, 70, 72, 74, 78, 80, 82, 86, 88, 90, 95, 96,
            96, 98, 97, 98, 100, 98, 96, 96, 97, 99, 68, 65, 63, 62, 60, 60, 59, 61, 62, 65, 66,
            68, 72, 73, 76, 79, 80, 84, 87, 89, 93, 94, 98, 99, 99, 102, 101, 102, 103, 103, 101,
            99, 69, 66, 65, 63, 62, 61, 60, 60, 63, 64, 66, 68, 70, 73, 74, 78, 80, 82, 85, 87, 91,
            92, 96, 98, 101, 102, 103, 105, 105, 105, 107, 108, 71, 67, 66, 64, 63, 62, 62, 61, 62,
            64, 66, 67, 70, 71, 75, 76, 79, 81, 84, 86, 89, 91, 94, 97, 98, 102, 104, 106, 106,
            109, 109, 108, 72, 68, 68, 65, 65, 63, 63, 61, 62, 65, 65, 68, 69, 72, 73, 77, 77, 81,
            81, 86, 87, 91, 91, 96, 97, 101, 102, 107, 107, 109, 110, 113,
        ],
    ],
    [
        [
            32, 31, 31, 31, 32, 32, 32, 34, 36, 38, 39, 44, 47, 49, 53, 58, 61, 65, 71, 76, 79, 82,
            86, 89, 92, 95, 98, 101, 104, 107, 110, 114, 31, 32, 32, 32, 32, 33, 33, 34, 34, 36,
            37, 41, 44, 46, 49, 54, 56, 60, 65, 69, 72, 75, 78, 81, 84, 86, 89, 92, 95, 98, 101,
            104, 32, 32, 32, 33, 34, 35, 35, 36, 37, 39, 40, 42, 45, 47, 50, 54, 56, 59, 64, 68,
            70, 73, 76, 79, 82, 85, 88, 91, 94, 97, 100, 104, 32, 33, 33, 33, 34, 36, 36, 38, 40,
            41, 42, 45, 47, 48, 51, 55, 57, 60, 65, 69, 71, 74, 77, 78, 80, 83, 85, 88, 91, 94, 97,
            100, 36, 35, 35, 35, 36, 38, 40, 42, 48, 49, 50, 53, 56, 57, 60, 63, 65, 68, 73, 76,
            79, 81, 84, 87, 89, 92, 93, 94, 95, 96, 98, 100, 44, 42, 41, 41, 42, 42, 44, 48, 54,
            56, 58, 63, 66, 67, 71, 75, 77, 79, 84, 88, 90, 92, 95, 95, 95, 95, 95, 98, 101, 105,
            108, 111, 47, 45, 44, 44, 45, 45, 47, 50, 56, 58, 60, 66, 69, 71, 75, 79, 81, 84, 89,
            92, 95, 97, 100, 99, 101, 105, 108, 110, 110, 110, 111, 111, 53, 51, 49, 49, 50, 49,
            51, 54, 60, 63, 65, 71, 75, 77, 82, 87, 89, 92, 97, 101, 104, 106, 109, 112, 116, 114,
            113, 112, 115, 119, 123, 126, 65, 62, 60, 59, 59, 58, 60, 63, 68, 71, 73, 79, 84, 86,
            92, 98, 100, 105, 111, 115, 118, 121, 124, 124, 121, 120, 124, 128, 129, 128, 127, 127,
            73, 69, 67, 66, 65, 64, 66, 69, 74, 77, 79, 85, 90, 93, 99, 105, 107, 112, 119, 123,
            127, 130, 133, 130, 132, 136, 136, 133, 132, 136, 141, 145, 79, 75, 72, 71, 71, 69, 71,
            73, 78, 81, 84, 90, 95, 97, 103, 110, 113, 118, 125, 130, 133, 136, 140, 145, 148, 143,
            141, 146, 151, 149, 147, 145, 87, 83, 80, 79, 78, 76, 76, 80, 84, 86, 90, 96, 99, 103,
            111, 114, 118, 126, 130, 134, 143, 146, 147, 152, 151, 155, 160, 158, 154, 156, 161,
            166, 90, 86, 84, 82, 80, 80, 78, 82, 83, 88, 91, 94, 101, 103, 108, 114, 116, 124, 129,
            134, 142, 145, 153, 156, 157, 163, 163, 166, 171, 173, 169, 166, 93, 88, 87, 84, 83,
            83, 81, 81, 86, 88, 92, 96, 98, 105, 107, 113, 117, 122, 129, 131, 141, 144, 151, 157,
            163, 167, 169, 175, 175, 177, 183, 189, 96, 91, 90, 87, 87, 86, 85, 84, 87, 90, 94, 96,
            101, 102, 110, 111, 118, 121, 129, 132, 138, 144, 150, 156, 161, 171, 174, 179, 181,
            188, 188, 190, 99, 94, 94, 90, 90, 88, 89, 86, 87, 93, 93, 99, 99, 106, 107, 115, 116,
            124, 125, 135, 136, 145, 146, 158, 159, 170, 171, 185, 186, 192, 193, 201,
        ],
        [
            32, 31, 30, 31, 33, 37, 39, 42, 49, 48, 48, 49, 50, 51, 52, 54, 55, 57, 60, 62, 63, 64,
            66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 31, 31, 32, 33, 36, 40, 41, 43, 46, 46, 46, 45,
            46, 47, 48, 50, 51, 52, 54, 56, 57, 59, 60, 61, 62, 63, 64, 65, 65, 66, 67, 68, 35, 37,
            38, 38, 41, 45, 46, 46, 48, 47, 46, 45, 46, 47, 47, 49, 49, 50, 53, 54, 55, 56, 58, 59,
            60, 61, 62, 64, 65, 66, 67, 68, 38, 40, 40, 41, 44, 47, 47, 48, 49, 48, 48, 47, 48, 48,
            48, 50, 50, 51, 53, 55, 56, 57, 58, 58, 59, 60, 60, 61, 62, 63, 64, 65, 48, 47, 46, 46,
            47, 47, 48, 50, 53, 53, 53, 53, 54, 54, 54, 55, 56, 56, 58, 60, 60, 61, 62, 63, 64, 65,
            65, 65, 65, 65, 65, 65, 49, 47, 45, 45, 46, 45, 47, 49, 53, 55, 56, 58, 59, 60, 61, 62,
            63, 64, 65, 66, 67, 68, 69, 68, 67, 66, 66, 67, 68, 69, 70, 71, 50, 48, 46, 46, 46, 46,
            47, 50, 54, 55, 56, 59, 61, 61, 63, 65, 65, 66, 68, 69, 70, 71, 72, 71, 71, 72, 73, 73,
            72, 72, 71, 71, 52, 50, 48, 48, 47, 47, 48, 50, 54, 56, 57, 61, 63, 64, 66, 68, 69, 70,
            72, 74, 75, 75, 76, 78, 79, 77, 76, 74, 75, 76, 77, 78, 57, 54, 52, 52, 51, 50, 51, 53,
            57, 58, 60, 64, 66, 68, 71, 73, 74, 76, 79, 81, 82, 83, 84, 83, 81, 80, 81, 82, 82, 81,
            79, 78, 61, 57, 55, 55, 54, 52, 54, 56, 59, 61, 62, 66, 68, 70, 73, 76, 77, 79, 82, 84,
            86, 87, 88, 86, 86, 88, 87, 85, 83, 85, 86, 87, 63, 60, 58, 57, 56, 54, 55, 57, 60, 62,
            64, 67, 70, 71, 75, 78, 79, 82, 85, 87, 89, 90, 91, 93, 94, 91, 89, 90, 92, 90, 89, 87,
            67, 63, 61, 60, 59, 57, 57, 60, 63, 64, 66, 69, 71, 73, 77, 79, 81, 85, 87, 88, 92, 93,
            94, 96, 95, 96, 97, 95, 93, 93, 94, 96, 68, 64, 63, 61, 60, 59, 58, 60, 61, 64, 65, 67,
            71, 72, 75, 78, 79, 83, 85, 87, 91, 92, 95, 96, 97, 99, 98, 99, 100, 100, 98, 96, 69,
            65, 64, 62, 61, 61, 59, 59, 62, 63, 65, 67, 68, 72, 73, 76, 78, 81, 84, 85, 89, 90, 93,
            96, 98, 99, 100, 102, 102, 102, 103, 105, 70, 66, 65, 63, 63, 62, 61, 60, 61, 63, 65,
            66, 69, 70, 74, 74, 78, 79, 82, 84, 87, 89, 91, 94, 96, 100, 101, 103, 103, 105, 105,
            105, 71, 67, 67, 64, 64, 62, 62, 60, 61, 64, 64, 67, 67, 71, 71, 75, 75, 79, 80, 84,
            84, 89, 89, 94, 94, 98, 99, 104, 104, 106, 106, 109,
        ],
    ],
    [
        [
            32, 31, 31, 31, 32, 32, 32, 34, 34, 36, 39, 40, 44, 47, 49, 53, 57, 59, 65, 69, 71, 79,
            81, 82, 87, 90, 92, 95, 98, 100, 103, 106, 31, 32, 32, 32, 32, 32, 33, 34, 34, 34, 37,
            38, 41, 44, 46, 49, 53, 54, 60, 63, 65, 72, 74, 75, 79, 82, 84, 87, 89, 92, 94, 97, 32,
            32, 32, 32, 33, 34, 34, 35, 36, 37, 39, 40, 42, 45, 46, 50, 53, 54, 59, 62, 64, 71, 72,
            73, 77, 80, 83, 85, 88, 91, 94, 97, 32, 32, 32, 33, 34, 34, 35, 37, 37, 38, 40, 41, 43,
            46, 47, 50, 53, 54, 58, 62, 63, 70, 71, 72, 76, 78, 81, 83, 85, 88, 90, 93, 36, 35, 35,
            34, 36, 37, 38, 42, 44, 48, 50, 51, 53, 56, 57, 60, 63, 64, 68, 71, 73, 79, 80, 81, 85,
            87, 88, 88, 89, 90, 92, 93, 39, 38, 38, 37, 39, 40, 40, 45, 47, 51, 54, 55, 58, 61, 62,
            65, 68, 69, 73, 76, 78, 84, 85, 86, 90, 89, 90, 92, 95, 98, 101, 104, 44, 42, 41, 41,
            42, 42, 42, 48, 50, 54, 58, 59, 63, 66, 67, 71, 74, 75, 79, 83, 84, 90, 91, 92, 96, 99,
            102, 103, 103, 103, 103, 104, 53, 51, 50, 49, 50, 49, 49, 54, 56, 60, 65, 67, 71, 75,
            77, 82, 86, 87, 92, 96, 97, 104, 105, 106, 110, 108, 106, 105, 108, 111, 114, 118, 58,
            55, 54, 53, 53, 53, 52, 57, 59, 63, 68, 70, 74, 79, 81, 86, 90, 91, 97, 100, 102, 109,
            110, 111, 114, 113, 117, 120, 121, 120, 119, 118, 65, 62, 60, 59, 59, 58, 58, 63, 65,
            68, 73, 75, 79, 85, 86, 92, 97, 98, 105, 109, 111, 118, 120, 121, 125, 129, 128, 125,
            124, 127, 131, 135, 79, 75, 73, 72, 71, 70, 69, 73, 75, 78, 84, 85, 90, 95, 97, 103,
            108, 111, 118, 122, 125, 133, 135, 136, 140, 135, 133, 137, 141, 139, 137, 135, 81, 77,
            75, 74, 72, 71, 70, 75, 77, 80, 85, 87, 91, 97, 99, 105, 110, 112, 119, 124, 127, 135,
            137, 139, 143, 146, 150, 148, 144, 146, 150, 154, 88, 83, 81, 79, 78, 77, 76, 79, 81,
            85, 88, 91, 97, 99, 104, 109, 111, 119, 123, 127, 135, 137, 145, 147, 148, 153, 153,
            155, 160, 161, 158, 155, 90, 86, 84, 82, 81, 80, 78, 79, 83, 85, 89, 92, 94, 101, 102,
            108, 112, 117, 123, 125, 134, 136, 143, 148, 154, 157, 158, 164, 164, 165, 170, 175,
            93, 88, 88, 84, 84, 83, 82, 81, 84, 86, 90, 92, 97, 98, 105, 106, 113, 115, 122, 125,
            131, 136, 141, 147, 151, 160, 163, 168, 169, 175, 175, 176, 96, 91, 91, 87, 87, 85, 86,
            83, 84, 89, 89, 95, 95, 102, 102, 110, 110, 118, 119, 128, 129, 137, 138, 149, 149,
            159, 160, 173, 174, 179, 180, 187,
        ],
        [
            32, 31, 31, 30, 33, 35, 37, 42, 44, 49, 48, 48, 49, 50, 51, 52, 54, 54, 57, 59, 60, 63,
            64, 64, 66, 67, 68, 69, 70, 71, 72, 73, 31, 31, 32, 32, 36, 38, 40, 43, 44, 46, 46, 45,
            45, 46, 47, 48, 49, 50, 52, 54, 54, 57, 58, 59, 60, 61, 62, 63, 64, 65, 65, 66, 34, 35,
            36, 36, 40, 42, 44, 45, 46, 47, 46, 46, 45, 46, 47, 47, 49, 49, 51, 52, 53, 56, 57, 57,
            59, 60, 61, 62, 63, 64, 65, 66, 37, 38, 39, 40, 43, 45, 47, 47, 47, 48, 47, 46, 46, 46,
            47, 47, 48, 49, 50, 52, 52, 55, 55, 56, 57, 58, 59, 60, 60, 61, 62, 63, 48, 47, 46, 46,
            47, 47, 47, 50, 51, 53, 53, 53, 53, 54, 54, 54, 55, 55, 56, 58, 58, 60, 61, 61, 63, 63,
            63, 63, 63, 63, 63, 63, 48, 47, 46, 45, 46, 46, 46, 50, 51, 53, 54, 55, 56, 56, 57, 57,
            58, 59, 60, 61, 62, 64, 64, 65, 66, 65, 64, 65, 66, 67, 68, 69, 49, 47, 46, 45, 46, 45,
            45, 49, 51, 53, 56, 56, 58, 59, 60, 61, 62, 62, 64, 65, 65, 67, 68, 68, 69, 70, 71, 71,
            70, 70, 69, 69, 52, 50, 48, 48, 47, 47, 47, 50, 52, 54, 57, 58, 61, 63, 64, 66, 68, 68,
            70, 72, 72, 75, 75, 75, 77, 75, 74, 72, 73, 74, 75, 76, 54, 51, 50, 49, 49, 48, 48, 51,
            53, 55, 58, 59, 62, 65, 65, 68, 70, 70, 73, 74, 75, 77, 78, 78, 79, 78, 79, 80, 80, 78,
            77, 76, 57, 54, 53, 52, 51, 50, 50, 53, 54, 57, 60, 61, 64, 66, 68, 71, 73, 74, 76, 78,
            79, 82, 82, 83, 84, 85, 84, 82, 81, 82, 83, 84, 63, 60, 58, 57, 56, 55, 54, 57, 59, 60,
            64, 65, 67, 70, 71, 75, 77, 78, 82, 84, 85, 89, 89, 90, 91, 88, 87, 88, 89, 88, 86, 84,
            64, 61, 59, 58, 57, 56, 55, 58, 59, 61, 64, 65, 68, 71, 72, 75, 78, 79, 82, 85, 86, 90,
            90, 91, 93, 93, 94, 93, 90, 90, 92, 93, 67, 63, 62, 60, 59, 58, 57, 59, 60, 63, 64, 66,
            70, 70, 73, 76, 77, 81, 83, 85, 89, 90, 93, 94, 94, 96, 96, 96, 97, 97, 95, 93, 68, 64,
            63, 61, 60, 60, 58, 58, 61, 62, 64, 66, 67, 71, 71, 75, 77, 79, 82, 83, 87, 88, 91, 93,
            95, 97, 97, 99, 99, 99, 100, 101, 69, 65, 65, 62, 62, 61, 60, 59, 61, 62, 64, 65, 68,
            68, 72, 73, 76, 77, 81, 82, 85, 87, 89, 92, 93, 97, 98, 100, 100, 102, 102, 101, 69,
            66, 66, 63, 63, 61, 61, 59, 60, 63, 63, 66, 66, 70, 70, 73, 74, 78, 78, 82, 82, 86, 87,
            91, 91, 95, 96, 101, 101, 103, 103, 105,
        ],
    ],
    [
        [
            32, 31, 31, 31, 31, 32, 32, 32, 34, 35, 36, 39, 41, 44, 47, 48, 53, 55, 58, 63, 65, 71,
            74, 79, 82, 82, 87, 89, 92, 94, 97, 99, 31, 32, 32, 32, 32, 32, 33, 33, 34, 34, 34, 37,
            39, 41, 44, 45, 49, 51, 54, 58, 60, 65, 68, 72, 75, 75, 79, 82, 84, 86, 88, 91, 31, 32,
            32, 32, 33, 33, 34, 34, 35, 36, 36, 39, 40, 42, 44, 45, 50, 51, 54, 58, 59, 64, 67, 71,
            73, 74, 78, 81, 83, 85, 88, 91, 32, 32, 32, 33, 34, 34, 35, 36, 37, 38, 38, 40, 41, 43,
            45, 46, 50, 51, 54, 57, 58, 63, 66, 70, 72, 72, 76, 78, 80, 82, 85, 87, 35, 35, 34, 34,
            35, 36, 37, 39, 41, 45, 46, 48, 49, 51, 53, 54, 57, 59, 61, 65, 66, 71, 73, 77, 79, 79,
            83, 83, 84, 85, 86, 87, 36, 35, 35, 34, 36, 36, 38, 40, 42, 47, 48, 50, 51, 53, 56, 56,
            60, 61, 63, 67, 68, 73, 75, 79, 81, 81, 85, 87, 89, 92, 94, 97, 44, 42, 41, 41, 42, 42,
            42, 44, 48, 52, 54, 58, 60, 63, 66, 67, 71, 72, 75, 78, 79, 84, 86, 90, 92, 92, 96, 97,
            97, 97, 97, 97, 47, 45, 45, 44, 44, 45, 45, 47, 50, 55, 56, 60, 62, 66, 69, 70, 75, 77,
            79, 83, 84, 89, 91, 95, 97, 97, 100, 99, 101, 104, 107, 110, 53, 51, 50, 49, 49, 50,
            49, 51, 54, 59, 60, 65, 67, 71, 75, 76, 82, 84, 87, 91, 92, 97, 100, 104, 105, 106,
            110, 113, 114, 112, 111, 110, 62, 59, 58, 57, 57, 57, 56, 58, 61, 65, 66, 71, 74, 78,
            82, 83, 90, 92, 95, 100, 102, 108, 110, 115, 117, 117, 120, 118, 116, 119, 123, 126,
            65, 62, 61, 59, 59, 59, 58, 60, 63, 67, 68, 73, 76, 79, 84, 85, 92, 94, 98, 103, 105,
            111, 113, 118, 120, 121, 125, 128, 132, 130, 128, 126, 79, 75, 74, 72, 71, 71, 69, 71,
            73, 77, 78, 84, 86, 90, 95, 96, 103, 106, 110, 116, 118, 125, 128, 133, 136, 136, 141,
            139, 135, 136, 140, 144, 82, 78, 76, 74, 73, 73, 71, 73, 76, 79, 80, 86, 88, 92, 97,
            98, 106, 108, 112, 118, 120, 127, 131, 136, 139, 139, 144, 145, 150, 151, 147, 144, 88,
            83, 82, 79, 79, 78, 76, 76, 81, 82, 85, 89, 91, 97, 98, 104, 107, 111, 117, 119, 127,
            129, 135, 140, 145, 148, 148, 153, 153, 154, 159, 163, 90, 86, 85, 82, 81, 80, 79, 78,
            81, 83, 87, 88, 93, 94, 101, 101, 108, 110, 116, 119, 124, 129, 134, 139, 142, 150,
            153, 157, 157, 163, 163, 163, 93, 88, 88, 84, 84, 82, 83, 80, 80, 86, 86, 91, 91, 97,
            98, 105, 105, 112, 113, 121, 122, 130, 130, 140, 140, 149, 150, 161, 162, 166, 167,
            173,
        ],
        [
            32, 31, 31, 30, 33, 33, 37, 39, 42, 47, 49, 48, 48, 49, 50, 50, 52, 53, 54, 56, 57, 60,
            61, 63, 64, 64, 66, 67, 68, 69, 70, 70, 31, 31, 32, 32, 35, 36, 40, 41, 43, 46, 46, 46,
            45, 45, 46, 46, 48, 49, 50, 51, 52, 54, 56, 57, 58, 59, 60, 61, 62, 63, 63, 64, 33, 34,
            34, 35, 37, 38, 43, 43, 44, 46, 47, 46, 46, 45, 46, 46, 47, 48, 49, 51, 51, 54, 55, 56,
            57, 58, 59, 60, 61, 62, 63, 64, 37, 38, 39, 40, 42, 43, 47, 47, 47, 48, 48, 47, 46, 46,
            46, 46, 47, 48, 49, 50, 50, 52, 53, 55, 56, 56, 57, 58, 59, 59, 60, 61, 45, 45, 45, 44,
            46, 46, 47, 48, 49, 51, 52, 51, 51, 51, 52, 52, 53, 53, 54, 55, 55, 57, 58, 59, 60, 60,
            61, 61, 61, 61, 61, 61, 48, 47, 46, 46, 47, 47, 47, 48, 50, 52, 53, 53, 53, 53, 54, 54,
            54, 55, 55, 56, 56, 58, 59, 60, 61, 61, 63, 63, 64, 65, 66, 67, 49, 47, 46, 45, 45, 46,
            45, 47, 49, 53, 53, 56, 57, 58, 59, 59, 61, 61, 62, 63, 64, 65, 66, 67, 68, 68, 69, 69,
            68, 68, 67, 67, 50, 48, 47, 46, 46, 46, 46, 47, 50, 53, 54, 56, 57, 59, 61, 61, 63, 64,
            65, 66, 66, 68, 69, 70, 71, 71, 72, 70, 71, 72, 73, 74, 52, 50, 49, 48, 47, 47, 47, 48,
            50, 53, 54, 57, 59, 61, 63, 64, 66, 67, 68, 70, 70, 72, 73, 75, 75, 75, 77, 78, 77, 76,
            75, 74, 56, 53, 52, 51, 50, 50, 49, 50, 53, 55, 56, 59, 61, 63, 65, 66, 70, 71, 72, 74,
            75, 77, 79, 80, 81, 81, 82, 80, 79, 80, 81, 82, 57, 54, 53, 52, 51, 51, 50, 51, 53, 56,
            57, 60, 61, 64, 66, 67, 71, 72, 73, 76, 76, 79, 80, 82, 83, 83, 84, 85, 86, 85, 83, 82,
            63, 60, 59, 57, 56, 56, 54, 55, 57, 60, 60, 64, 65, 67, 70, 71, 75, 76, 78, 81, 82, 85,
            86, 89, 90, 90, 92, 90, 88, 88, 89, 90, 64, 61, 60, 58, 57, 57, 55, 56, 58, 61, 61, 64,
            66, 68, 71, 71, 75, 77, 79, 82, 83, 86, 87, 90, 91, 91, 93, 93, 94, 94, 92, 90, 67, 63,
            62, 60, 60, 59, 57, 57, 60, 61, 63, 65, 66, 70, 70, 73, 75, 77, 80, 81, 85, 86, 89, 91,
            93, 94, 94, 96, 96, 95, 97, 98, 68, 64, 64, 61, 61, 60, 59, 58, 60, 61, 63, 64, 67, 67,
            71, 71, 74, 75, 79, 80, 83, 85, 87, 89, 91, 94, 95, 97, 97, 99, 98, 98, 68, 65, 65, 62,
            62, 60, 61, 59, 59, 62, 62, 65, 65, 68, 68, 72, 72, 76, 76, 80, 80, 84, 84, 89, 89, 93,
            93, 97, 98, 99, 99, 102,
        ],
    ],
    [
        [
            32, 31, 31, 31, 31, 32, 32, 32, 33, 34, 36, 36, 39, 40, 44, 46, 48, 52, 53, 58, 58, 65,
            66, 71, 74, 79, 81, 82, 86, 88, 91, 93, 31, 32, 32, 32, 32, 32, 32, 33, 33, 34, 34, 35,
            37, 38, 41, 43, 45, 48, 49, 53, 54, 60, 61, 65, 68, 72, 74, 75, 78, 81, 83, 85, 31, 32,
            32, 32, 32, 33, 33, 33, 34, 34, 35, 35, 38, 39, 41, 43, 45, 48, 49, 53, 54, 59, 60, 65,
            67, 72, 73, 74, 78, 80, 82, 85, 32, 32, 32, 33, 33, 34, 35, 35, 36, 37, 38, 38, 40, 41,
            43, 44, 46, 49, 50, 53, 54, 58, 59, 63, 66, 70, 71, 72, 75, 77, 79, 81, 33, 33, 33, 33,
            34, 35, 36, 36, 38, 39, 42, 42, 44, 45, 46, 48, 50, 52, 53, 57, 57, 62, 63, 67, 69, 73,
            75, 75, 78, 80, 80, 81, 36, 35, 35, 34, 35, 36, 37, 38, 41, 42, 48, 48, 50, 51, 53, 55,
            56, 59, 60, 63, 63, 68, 69, 73, 75, 79, 80, 81, 84, 86, 88, 90, 40, 39, 39, 38, 38, 39,
            40, 41, 44, 45, 51, 51, 54, 56, 59, 60, 62, 65, 66, 69, 70, 74, 75, 79, 81, 85, 86, 87,
            90, 90, 90, 90, 44, 42, 42, 41, 41, 42, 42, 42, 46, 48, 54, 54, 58, 59, 63, 65, 67, 70,
            71, 74, 75, 79, 80, 84, 86, 90, 91, 92, 95, 98, 100, 102, 51, 49, 49, 47, 47, 48, 48,
            48, 52, 53, 58, 59, 63, 65, 69, 72, 74, 78, 79, 83, 84, 89, 90, 94, 97, 101, 102, 103,
            106, 105, 103, 103, 53, 51, 51, 49, 49, 50, 49, 49, 53, 54, 60, 60, 65, 67, 71, 73, 76,
            80, 82, 86, 87, 92, 93, 97, 100, 104, 105, 106, 109, 112, 114, 117, 65, 62, 61, 59, 59,
            59, 58, 58, 62, 63, 68, 68, 73, 75, 79, 82, 85, 90, 92, 97, 98, 105, 106, 111, 113,
            118, 120, 121, 124, 122, 119, 117, 66, 63, 62, 60, 60, 60, 59, 59, 63, 64, 69, 69, 74,
            76, 80, 83, 86, 91, 93, 98, 99, 106, 107, 112, 115, 119, 121, 122, 125, 127, 130, 134,
            79, 75, 74, 72, 71, 71, 69, 69, 72, 73, 78, 79, 84, 85, 90, 93, 96, 101, 103, 109, 110,
            118, 119, 125, 128, 133, 135, 136, 140, 140, 137, 134, 81, 77, 76, 74, 73, 72, 71, 70,
            74, 75, 80, 80, 85, 87, 91, 94, 98, 103, 105, 111, 112, 119, 121, 127, 130, 135, 137,
            139, 142, 144, 148, 151, 87, 83, 82, 79, 79, 78, 77, 75, 78, 80, 84, 85, 89, 90, 96,
            97, 103, 105, 111, 113, 118, 122, 126, 131, 134, 141, 143, 147, 147, 152, 151, 152, 90,
            85, 85, 81, 81, 80, 80, 77, 78, 83, 83, 87, 88, 93, 93, 100, 100, 107, 107, 115, 115,
            123, 123, 132, 132, 140, 140, 151, 151, 155, 155, 160,
        ],
        [
            32, 31, 31, 30, 31, 33, 35, 37, 41, 42, 49, 49, 48, 48, 49, 49, 50, 51, 52, 54, 54, 57,
            57, 60, 61, 63, 64, 64, 66, 67, 68, 68, 31, 31, 31, 32, 33, 36, 38, 40, 42, 43, 46, 46,
            46, 45, 45, 46, 46, 47, 48, 50, 50, 52, 52, 54, 56, 57, 58, 59, 60, 61, 62, 62, 32, 33,
            33, 33, 35, 37, 39, 41, 43, 43, 47, 47, 46, 46, 45, 46, 46, 47, 48, 49, 50, 52, 52, 54,
            55, 57, 58, 58, 59, 60, 61, 62, 37, 38, 38, 40, 41, 43, 45, 47, 47, 47, 48, 48, 47, 46,
            46, 46, 46, 47, 47, 48, 49, 50, 51, 52, 53, 55, 55, 56, 57, 58, 58, 59, 40, 41, 41, 42,
            43, 44, 46, 47, 48, 48, 50, 50, 49, 49, 48, 49, 49, 49, 50, 51, 51, 52, 53, 55, 56, 57,
            58, 58, 59, 59, 59, 59, 48, 47, 47, 46, 46, 47, 47, 47, 49, 50, 53, 53, 53, 53, 53, 53,
            54, 54, 54, 55, 55, 56, 57, 58, 59, 60, 61, 61, 62, 63, 64, 65, 49, 47, 47, 45, 46, 46,
            46, 46, 49, 49, 53, 53, 54, 55, 56, 57, 57, 58, 58, 59, 59, 60, 61, 62, 63, 64, 65, 65,
            66, 66, 65, 65, 49, 47, 47, 45, 45, 46, 45, 45, 48, 49, 53, 54, 56, 56, 58, 59, 59, 61,
            61, 62, 62, 64, 64, 65, 66, 67, 68, 68, 69, 70, 71, 71, 51, 49, 49, 47, 47, 47, 47, 46,
            49, 50, 54, 54, 57, 58, 61, 62, 63, 64, 65, 67, 67, 69, 69, 71, 72, 73, 73, 74, 75, 74,
            72, 71, 52, 50, 49, 48, 48, 47, 47, 47, 50, 50, 54, 55, 57, 58, 61, 62, 64, 66, 66, 68,
            68, 70, 71, 72, 73, 75, 75, 75, 76, 77, 78, 79, 57, 54, 54, 52, 51, 51, 50, 50, 52, 53,
            57, 57, 60, 61, 64, 65, 67, 69, 71, 73, 73, 76, 77, 79, 80, 82, 82, 83, 84, 82, 81, 79,
            58, 55, 54, 52, 52, 52, 51, 50, 53, 54, 57, 57, 60, 61, 64, 66, 67, 70, 71, 73, 74, 77,
            77, 79, 81, 82, 83, 83, 85, 85, 86, 87, 63, 60, 59, 57, 57, 56, 55, 54, 57, 57, 60, 61,
            64, 65, 67, 69, 71, 73, 75, 77, 78, 82, 82, 85, 86, 89, 89, 90, 91, 91, 89, 87, 64, 61,
            60, 58, 57, 57, 56, 55, 57, 58, 61, 61, 64, 65, 68, 69, 71, 74, 75, 78, 78, 82, 83, 86,
            87, 90, 90, 91, 92, 93, 94, 95, 67, 63, 63, 60, 60, 59, 58, 57, 59, 60, 62, 63, 65, 66,
            69, 70, 73, 74, 77, 78, 81, 83, 85, 87, 88, 92, 92, 94, 94, 96, 95, 95, 67, 64, 64, 61,
            61, 60, 60, 58, 58, 61, 61, 64, 64, 67, 67, 70, 71, 74, 74, 78, 78, 82, 82, 86, 86, 90,
            90, 95, 95, 96, 96, 98,
        ],
    ],
    [
        [
            32, 31, 31, 31, 31, 32, 32, 32, 32, 34, 34, 36, 36, 39, 39, 44, 44, 48, 48, 53, 53, 58,
            58, 65, 65, 71, 71, 79, 79, 82, 82, 87, 31, 32, 32, 32, 32, 32, 32, 33, 33, 34, 34, 34,
            34, 37, 37, 41, 41, 45, 45, 49, 49, 54, 54, 60, 60, 65, 65, 72, 72, 75, 75, 79, 31, 32,
            32, 32, 32, 32, 32, 33, 33, 34, 34, 34, 34, 37, 37, 41, 41, 45, 45, 49, 49, 54, 54, 60,
            60, 65, 65, 72, 72, 75, 75, 79, 32, 32, 32, 33, 33, 34, 34, 35, 35, 37, 37, 38, 38, 40,
            40, 43, 43, 46, 46, 50, 50, 54, 54, 58, 58, 63, 63, 70, 70, 72, 72, 76, 32, 32, 32, 33,
            33, 34, 34, 35, 35, 37, 37, 38, 38, 40, 40, 43, 43, 46, 46, 50, 50, 54, 54, 58, 58, 63,
            63, 70, 70, 72, 72, 76, 36, 35, 35, 34, 34, 36, 36, 38, 38, 42, 42, 48, 48, 50, 50, 53,
            53, 56, 56, 60, 60, 63, 63, 68, 68, 73, 73, 79, 79, 81, 81, 84, 36, 35, 35, 34, 34, 36,
            36, 38, 38, 42, 42, 48, 48, 50, 50, 53, 53, 56, 56, 60, 60, 63, 63, 68, 68, 73, 73, 79,
            79, 81, 81, 84, 44, 42, 42, 41, 41, 42, 42, 42, 42, 48, 48, 54, 54, 58, 58, 63, 63, 67,
            67, 71, 71, 75, 75, 79, 79, 84, 84, 90, 90, 92, 92, 96, 44, 42, 42, 41, 41, 42, 42, 42,
            42, 48, 48, 54, 54, 58, 58, 63, 63, 67, 67, 71, 71, 75, 75, 79, 79, 84, 84, 90, 90, 92,
            92, 96, 53, 51, 51, 49, 49, 50, 50, 49, 49, 54, 54, 60, 60, 65, 65, 71, 71, 76, 76, 82,
            82, 87, 87, 92, 92, 97, 97, 104, 104, 106, 106, 109, 53, 51, 51, 49, 49, 50, 50, 49,
            49, 54, 54, 60, 60, 65, 65, 71, 71, 76, 76, 82, 82, 87, 87, 92, 92, 97, 97, 104, 104,
            106, 106, 109, 65, 62, 62, 59, 59, 59, 59, 58, 58, 63, 63, 68, 68, 73, 73, 79, 79, 85,
            85, 92, 92, 98, 98, 105, 105, 111, 111, 118, 118, 121, 121, 124, 65, 62, 62, 59, 59,
            59, 59, 58, 58, 63, 63, 68, 68, 73, 73, 79, 79, 85, 85, 92, 92, 98, 98, 105, 105, 111,
            111, 118, 118, 121, 121, 124, 79, 75, 75, 72, 72, 71, 71, 69, 69, 73, 73, 78, 78, 84,
            84, 90, 90, 96, 96, 103, 103, 110, 110, 118, 118, 125, 125, 133, 133, 136, 136, 141,
            79, 75, 75, 72, 72, 71, 71, 69, 69, 73, 73, 78, 78, 84, 84, 90, 90, 96, 96, 103, 103,
            110, 110, 118, 118, 125, 125, 133, 133, 136, 136, 141, 87, 82, 82, 78, 78, 77, 77, 75,
            75, 79, 79, 84, 84, 89, 89, 95, 95, 102, 102, 109, 109, 116, 116, 124, 124, 132, 132,
            141, 141, 144, 144, 149,
        ],
        [
            32, 31, 31, 30, 30, 33, 33, 37, 37, 42, 42, 49, 49, 48, 48, 49, 49, 50, 50, 52, 52, 54,
            54, 57, 57, 60, 60, 63, 63, 64, 64, 66, 31, 31, 31, 32, 32, 36, 36, 40, 40, 43, 43, 46,
            46, 46, 46, 45, 45, 46, 46, 48, 48, 50, 50, 52, 52, 54, 54, 57, 57, 59, 59, 60, 31, 31,
            31, 32, 32, 36, 36, 40, 40, 43, 43, 46, 46, 46, 46, 45, 45, 46, 46, 48, 48, 50, 50, 52,
            52, 54, 54, 57, 57, 59, 59, 60, 37, 38, 38, 40, 40, 43, 43, 47, 47, 47, 47, 48, 48, 47,
            47, 46, 46, 46, 46, 47, 47, 49, 49, 50, 50, 52, 52, 55, 55, 56, 56, 57, 37, 38, 38, 40,
            40, 43, 43, 47, 47, 47, 47, 48, 48, 47, 47, 46, 46, 46, 46, 47, 47, 49, 49, 50, 50, 52,
            52, 55, 55, 56, 56, 57, 48, 47, 47, 46, 46, 47, 47, 47, 47, 50, 50, 53, 53, 53, 53, 53,
            53, 54, 54, 54, 54, 55, 55, 56, 56, 58, 58, 60, 60, 61, 61, 63, 48, 47, 47, 46, 46, 47,
            47, 47, 47, 50, 50, 53, 53, 53, 53, 53, 53, 54, 54, 54, 54, 55, 55, 56, 56, 58, 58, 60,
            60, 61, 61, 63, 49, 47, 47, 45, 45, 46, 46, 45, 45, 49, 49, 53, 53, 56, 56, 58, 58, 59,
            59, 61, 61, 62, 62, 64, 64, 65, 65, 67, 67, 68, 68, 69, 49, 47, 47, 45, 45, 46, 46, 45,
            45, 49, 49, 53, 53, 56, 56, 58, 58, 59, 59, 61, 61, 62, 62, 64, 64, 65, 65, 67, 67, 68,
            68, 69, 52, 50, 50, 48, 48, 47, 47, 47, 47, 50, 50, 54, 54, 57, 57, 61, 61, 64, 64, 66,
            66, 68, 68, 70, 70, 72, 72, 75, 75, 75, 75, 77, 52, 50, 50, 48, 48, 47, 47, 47, 47, 50,
            50, 54, 54, 57, 57, 61, 61, 64, 64, 66, 66, 68, 68, 70, 70, 72, 72, 75, 75, 75, 75, 77,
            57, 54, 54, 52, 52, 51, 51, 50, 50, 53, 53, 57, 57, 60, 60, 64, 64, 67, 67, 71, 71, 73,
            73, 76, 76, 79, 79, 82, 82, 83, 83, 84, 57, 54, 54, 52, 52, 51, 51, 50, 50, 53, 53, 57,
            57, 60, 60, 64, 64, 67, 67, 71, 71, 73, 73, 76, 76, 79, 79, 82, 82, 83, 83, 84, 63, 60,
            60, 57, 57, 56, 56, 54, 54, 57, 57, 60, 60, 64, 64, 67, 67, 71, 71, 75, 75, 78, 78, 82,
            82, 85, 85, 89, 89, 90, 90, 92, 63, 60, 60, 57, 57, 56, 56, 54, 54, 57, 57, 60, 60, 64,
            64, 67, 67, 71, 71, 75, 75, 78, 78, 82, 82, 85, 85, 89, 89, 90, 90, 92, 66, 63, 63, 60,
            60, 59, 59, 57, 57, 60, 60, 62, 62, 66, 66, 69, 69, 73, 73, 77, 77, 80, 80, 84, 84, 88,
            88, 92, 92, 93, 93, 95,
        ],
    ],
    [
        [
            32, 31, 31, 31, 31, 31, 32, 32, 32, 32, 34, 34, 35, 36, 38, 39, 41, 44, 44, 48, 48, 53,
            53, 57, 58, 61, 65, 67, 71, 72, 79, 79, 31, 32, 32, 32, 32, 32, 32, 32, 32, 33, 34, 34,
            34, 35, 36, 38, 39, 41, 42, 45, 45, 49, 50, 53, 54, 57, 60, 62, 66, 66, 73, 73, 31, 32,
            32, 32, 32, 32, 32, 32, 33, 33, 34, 34, 34, 34, 36, 37, 39, 41, 42, 45, 45, 49, 49, 52,
            54, 57, 60, 61, 65, 66, 72, 72, 32, 32, 32, 32, 32, 33, 33, 34, 34, 34, 36, 36, 37, 37,
            38, 40, 41, 42, 43, 46, 46, 49, 50, 52, 54, 56, 59, 60, 64, 64, 71, 71, 32, 32, 32, 32,
            33, 33, 34, 34, 35, 35, 37, 37, 38, 38, 40, 40, 41, 43, 43, 46, 46, 49, 50, 52, 54, 56,
            58, 60, 63, 64, 70, 70, 34, 34, 34, 33, 33, 34, 35, 35, 37, 37, 39, 39, 42, 43, 44, 45,
            46, 48, 48, 51, 51, 54, 54, 57, 58, 60, 63, 64, 68, 68, 74, 74, 36, 35, 35, 35, 34, 35,
            36, 37, 38, 39, 42, 42, 47, 48, 49, 50, 51, 53, 54, 56, 56, 59, 60, 62, 63, 66, 68, 69,
            73, 73, 79, 79, 38, 37, 37, 36, 36, 37, 38, 38, 39, 40, 44, 44, 48, 49, 51, 52, 54, 56,
            56, 59, 59, 62, 63, 65, 67, 69, 71, 72, 76, 76, 82, 82, 44, 42, 42, 41, 41, 41, 42, 42,
            42, 43, 48, 48, 52, 54, 56, 58, 60, 63, 64, 67, 67, 71, 71, 74, 75, 77, 79, 81, 84, 85,
            90, 90, 44, 43, 43, 42, 41, 42, 43, 43, 43, 44, 48, 48, 53, 54, 57, 58, 60, 64, 64, 67,
            67, 71, 72, 75, 76, 78, 80, 82, 85, 86, 91, 91, 53, 51, 51, 50, 49, 49, 50, 49, 49, 50,
            54, 54, 59, 60, 63, 65, 67, 71, 72, 76, 76, 81, 82, 85, 87, 89, 92, 94, 97, 98, 104,
            104, 53, 51, 51, 50, 49, 49, 50, 49, 49, 50, 54, 54, 59, 60, 63, 65, 67, 71, 72, 76,
            76, 81, 82, 85, 87, 89, 92, 94, 97, 98, 104, 104, 62, 60, 59, 58, 57, 57, 57, 56, 56,
            56, 61, 61, 65, 66, 69, 71, 74, 78, 79, 83, 83, 89, 90, 94, 95, 98, 102, 103, 108, 108,
            115, 115, 65, 62, 62, 60, 59, 59, 59, 59, 58, 58, 63, 63, 67, 68, 71, 73, 76, 79, 81,
            85, 85, 91, 92, 96, 98, 101, 105, 106, 111, 111, 118, 118, 73, 70, 69, 67, 66, 66, 65,
            65, 64, 64, 69, 69, 73, 74, 77, 79, 81, 85, 86, 91, 91, 98, 99, 103, 105, 108, 112,
            114, 119, 119, 127, 127, 79, 75, 75, 73, 72, 71, 71, 70, 69, 69, 73, 73, 77, 78, 81,
            84, 86, 90, 91, 96, 96, 103, 103, 108, 110, 114, 118, 120, 125, 125, 133, 133,
        ],
        [
            32, 31, 31, 30, 30, 32, 33, 34, 37, 37, 42, 42, 47, 49, 48, 48, 48, 49, 49, 50, 50, 52,
            52, 53, 54, 55, 57, 58, 60, 60, 63, 63, 31, 31, 31, 32, 32, 33, 35, 37, 40, 40, 43, 43,
            46, 47, 46, 46, 46, 45, 46, 47, 47, 48, 48, 50, 50, 51, 52, 53, 55, 55, 58, 58, 31, 31,
            31, 32, 32, 34, 36, 37, 40, 40, 43, 43, 46, 46, 46, 46, 45, 45, 45, 46, 46, 48, 48, 49,
            50, 51, 52, 53, 54, 55, 57, 57, 35, 36, 36, 37, 37, 39, 40, 42, 45, 45, 46, 46, 47, 47,
            47, 46, 46, 45, 46, 46, 46, 47, 47, 48, 49, 50, 51, 51, 53, 53, 56, 56, 37, 38, 38, 39,
            40, 41, 43, 44, 47, 47, 47, 47, 48, 48, 47, 47, 46, 46, 46, 46, 46, 47, 47, 48, 49, 49,
            50, 51, 52, 53, 55, 55, 42, 42, 42, 42, 42, 44, 45, 45, 47, 47, 48, 48, 50, 50, 50, 50,
            49, 49, 49, 50, 50, 50, 50, 51, 52, 52, 53, 54, 55, 55, 58, 58, 48, 47, 47, 46, 46, 46,
            47, 47, 47, 48, 50, 50, 52, 53, 53, 53, 53, 53, 53, 54, 54, 54, 54, 55, 55, 56, 56, 57,
            58, 59, 60, 60, 48, 47, 47, 46, 46, 46, 46, 47, 47, 47, 50, 50, 52, 53, 53, 54, 54, 55,
            55, 55, 55, 56, 56, 57, 57, 58, 58, 59, 60, 60, 62, 62, 49, 47, 47, 46, 45, 45, 46, 45,
            45, 46, 49, 49, 53, 53, 55, 56, 57, 58, 58, 59, 59, 61, 61, 62, 62, 63, 64, 64, 65, 65,
            67, 67, 49, 47, 47, 46, 45, 45, 46, 46, 46, 46, 49, 49, 53, 54, 55, 56, 57, 59, 59, 60,
            60, 61, 61, 62, 63, 63, 64, 65, 66, 66, 68, 68, 52, 50, 50, 48, 48, 48, 47, 47, 47, 47,
            50, 50, 53, 54, 56, 57, 59, 61, 62, 64, 64, 66, 66, 68, 68, 69, 70, 71, 72, 73, 75, 75,
            52, 50, 50, 48, 48, 48, 47, 47, 47, 47, 50, 50, 53, 54, 56, 57, 59, 61, 62, 64, 64, 66,
            66, 68, 68, 69, 70, 71, 72, 73, 75, 75, 56, 54, 53, 52, 51, 51, 50, 50, 49, 49, 53, 53,
            55, 56, 58, 59, 61, 63, 64, 66, 66, 69, 70, 71, 72, 74, 75, 76, 77, 78, 80, 80, 57, 54,
            54, 52, 52, 51, 51, 51, 50, 50, 53, 53, 56, 57, 58, 60, 61, 64, 64, 67, 67, 70, 71, 72,
            73, 75, 76, 77, 79, 79, 82, 82, 61, 58, 57, 56, 55, 54, 54, 53, 52, 53, 56, 56, 58, 59,
            61, 62, 63, 66, 66, 69, 69, 72, 73, 75, 76, 78, 79, 80, 82, 83, 86, 86, 63, 60, 60, 58,
            57, 57, 56, 55, 54, 55, 57, 57, 60, 60, 62, 64, 65, 67, 68, 71, 71, 74, 75, 77, 78, 80,
            82, 83, 85, 85, 89, 89,
        ],
    ],
    [
        [
            32, 31, 31, 31, 31, 31, 31, 32, 32, 32, 32, 33, 34, 34, 36, 36, 38, 39, 41, 44, 44, 47,
            48, 50, 53, 53, 57, 58, 61, 65, 65, 70, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 33,
            34, 34, 35, 35, 37, 38, 39, 41, 41, 44, 45, 47, 50, 50, 54, 55, 57, 61, 61, 65, 31, 32,
            32, 32, 32, 32, 32, 32, 32, 33, 33, 33, 34, 34, 34, 34, 37, 37, 39, 41, 41, 44, 45, 46,
            49, 49, 53, 54, 56, 60, 60, 64, 31, 32, 32, 32, 32, 32, 33, 33, 33, 34, 34, 35, 35, 35,
            36, 36, 38, 39, 40, 42, 42, 44, 45, 47, 50, 50, 53, 54, 56, 59, 59, 63, 32, 32, 32, 32,
            33, 33, 34, 34, 34, 35, 35, 36, 37, 37, 38, 38, 40, 40, 41, 43, 43, 45, 46, 47, 50, 50,
            53, 54, 56, 58, 58, 62, 32, 32, 32, 32, 33, 33, 34, 34, 34, 35, 35, 36, 37, 37, 38, 38,
            40, 40, 41, 43, 43, 45, 46, 47, 50, 50, 53, 54, 56, 58, 58, 62, 35, 35, 35, 34, 34, 34,
            35, 36, 36, 37, 37, 40, 41, 43, 46, 46, 47, 48, 49, 51, 51, 53, 54, 55, 57, 57, 60, 61,
            63, 66, 66, 70, 36, 35, 35, 35, 34, 34, 36, 36, 37, 38, 38, 41, 42, 44, 48, 48, 50, 50,
            51, 53, 53, 56, 56, 58, 60, 60, 63, 63, 65, 68, 68, 72, 39, 38, 38, 37, 37, 37, 38, 38,
            39, 40, 40, 43, 44, 46, 50, 50, 52, 53, 54, 57, 57, 59, 60, 61, 64, 64, 67, 68, 69, 72,
            72, 76, 44, 42, 42, 41, 41, 41, 42, 42, 42, 42, 42, 46, 48, 50, 54, 54, 57, 58, 60, 63,
            63, 66, 67, 68, 71, 71, 74, 75, 77, 79, 79, 83, 44, 42, 42, 41, 41, 41, 42, 42, 42, 42,
            42, 46, 48, 50, 54, 54, 57, 58, 60, 63, 63, 66, 67, 68, 71, 71, 74, 75, 77, 79, 79, 83,
            51, 49, 49, 48, 47, 47, 48, 48, 48, 48, 48, 52, 53, 55, 58, 58, 62, 63, 66, 69, 69, 73,
            74, 76, 79, 79, 83, 84, 86, 89, 89, 93, 53, 52, 51, 50, 49, 49, 49, 50, 49, 49, 49, 53,
            54, 56, 60, 60, 64, 65, 67, 71, 71, 75, 76, 78, 82, 82, 86, 87, 89, 92, 92, 96, 58, 56,
            55, 54, 53, 53, 53, 53, 53, 52, 52, 56, 57, 59, 63, 63, 67, 68, 70, 74, 74, 78, 79, 82,
            86, 86, 90, 91, 93, 97, 97, 101, 65, 63, 62, 61, 59, 59, 59, 59, 58, 58, 58, 62, 63,
            65, 68, 68, 72, 73, 76, 79, 79, 84, 85, 88, 92, 92, 97, 98, 100, 105, 105, 109, 65, 63,
            62, 61, 59, 59, 59, 59, 58, 58, 58, 62, 63, 65, 68, 68, 72, 73, 76, 79, 79, 84, 85, 88,
            92, 92, 97, 98, 100, 105, 105, 109,
        ],
        [
            32, 31, 31, 31, 30, 30, 33, 33, 35, 37, 37, 41, 42, 44, 49, 49, 48, 48, 48, 49, 49, 50,
            50, 51, 52, 52, 54, 54, 55, 57, 57, 59, 31, 31, 31, 31, 32, 32, 34, 35, 37, 39, 39, 42,
            42, 44, 47, 47, 46, 46, 46, 46, 46, 47, 47, 48, 48, 48, 50, 51, 51, 53, 53, 55, 31, 31,
            31, 32, 32, 32, 35, 36, 37, 40, 40, 42, 43, 44, 46, 46, 46, 46, 45, 45, 45, 46, 46, 47,
            48, 48, 49, 50, 51, 52, 52, 54, 33, 34, 34, 34, 35, 35, 37, 38, 40, 43, 43, 44, 44, 45,
            47, 47, 46, 46, 46, 45, 45, 46, 46, 47, 47, 47, 49, 49, 50, 51, 51, 53, 37, 38, 38, 39,
            40, 40, 42, 43, 44, 47, 47, 47, 47, 47, 48, 48, 47, 47, 46, 46, 46, 46, 46, 47, 47, 47,
            48, 49, 49, 50, 50, 52, 37, 38, 38, 39, 40, 40, 42, 43, 44, 47, 47, 47, 47, 47, 48, 48,
            47, 47, 46, 46, 46, 46, 46, 47, 47, 47, 48, 49, 49, 50, 50, 52, 45, 45, 45, 45, 44, 44,
            46, 46, 46, 47, 47, 49, 49, 50, 52, 52, 51, 51, 51, 51, 51, 52, 52, 52, 53, 53, 54, 54,
            54, 55, 55, 57, 48, 47, 47, 46, 46, 46, 47, 47, 47, 47, 47, 49, 50, 51, 53, 53, 53, 53,
            53, 53, 53, 54, 54, 54, 54, 54, 55, 55, 56, 56, 56, 58, 48, 47, 47, 46, 45, 45, 46, 46,
            46, 47, 47, 49, 50, 51, 53, 53, 54, 54, 54, 55, 55, 56, 56, 56, 57, 57, 58, 58, 58, 59,
            59, 61, 49, 47, 47, 46, 45, 45, 45, 46, 45, 45, 45, 48, 49, 51, 53, 53, 55, 56, 57, 58,
            58, 59, 59, 60, 61, 61, 62, 62, 63, 64, 64, 65, 49, 47, 47, 46, 45, 45, 45, 46, 45, 45,
            45, 48, 49, 51, 53, 53, 55, 56, 57, 58, 58, 59, 59, 60, 61, 61, 62, 62, 63, 64, 64, 65,
            51, 50, 49, 48, 47, 47, 47, 47, 47, 46, 46, 49, 50, 52, 54, 54, 56, 57, 58, 61, 61, 62,
            63, 64, 65, 65, 67, 67, 68, 69, 69, 70, 52, 50, 50, 49, 48, 48, 47, 47, 47, 47, 47, 50,
            50, 52, 54, 54, 57, 57, 59, 61, 61, 63, 64, 65, 66, 66, 68, 68, 69, 70, 70, 72, 54, 52,
            51, 51, 49, 49, 49, 49, 48, 48, 48, 51, 51, 53, 55, 55, 58, 58, 60, 62, 62, 64, 65, 66,
            68, 68, 70, 70, 71, 73, 73, 74, 57, 55, 54, 53, 52, 52, 51, 51, 51, 50, 50, 52, 53, 54,
            57, 57, 59, 60, 61, 64, 64, 66, 67, 68, 71, 71, 73, 73, 74, 76, 76, 78, 57, 55, 54, 53,
            52, 52, 51, 51, 51, 50, 50, 52, 53, 54, 57, 57, 59, 60, 61, 64, 64, 66, 67, 68, 71, 71,
            73, 73, 74, 76, 76, 78,
        ],
    ],
    [
        [
            32, 31, 31, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 34, 34, 35, 36, 36, 38, 39, 39, 42,
            44, 44, 47, 48, 49, 53, 53, 55, 58, 58, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32,
            33, 34, 34, 34, 35, 35, 37, 38, 38, 40, 42, 42, 45, 46, 47, 50, 51, 52, 55, 55, 31, 32,
            32, 32, 32, 32, 32, 32, 32, 32, 33, 33, 33, 34, 34, 34, 34, 34, 36, 37, 37, 40, 41, 41,
            44, 45, 46, 49, 49, 51, 54, 54, 31, 32, 32, 32, 32, 32, 32, 32, 33, 33, 33, 33, 33, 34,
            34, 34, 35, 35, 37, 38, 38, 40, 41, 41, 44, 45, 46, 49, 49, 51, 54, 54, 32, 32, 32, 32,
            32, 32, 33, 33, 34, 34, 35, 35, 35, 36, 36, 37, 37, 37, 39, 40, 40, 42, 42, 43, 45, 46,
            47, 49, 50, 51, 54, 54, 32, 32, 32, 32, 32, 33, 33, 34, 34, 34, 35, 35, 36, 37, 37, 37,
            38, 38, 40, 40, 40, 42, 43, 43, 45, 46, 47, 49, 50, 51, 54, 54, 32, 33, 33, 33, 33, 33,
            33, 34, 34, 35, 36, 36, 36, 38, 38, 39, 40, 40, 41, 42, 42, 44, 45, 45, 47, 48, 48, 51,
            51, 53, 55, 55, 35, 35, 35, 35, 34, 34, 35, 36, 36, 37, 38, 38, 39, 42, 42, 44, 47, 47,
            48, 49, 49, 51, 52, 52, 54, 55, 56, 58, 59, 60, 62, 62, 36, 35, 35, 35, 35, 34, 35, 36,
            36, 37, 38, 38, 40, 42, 42, 45, 48, 48, 49, 50, 50, 52, 53, 54, 56, 56, 57, 59, 60, 61,
            63, 63, 38, 37, 37, 37, 36, 36, 36, 38, 38, 38, 39, 39, 41, 44, 44, 46, 49, 49, 51, 52,
            52, 55, 56, 56, 58, 59, 60, 62, 63, 64, 67, 67, 44, 43, 42, 42, 41, 41, 41, 42, 42, 42,
            42, 42, 44, 48, 48, 50, 54, 54, 56, 58, 58, 61, 63, 63, 66, 67, 67, 71, 71, 72, 75, 75,
            44, 43, 42, 42, 41, 41, 41, 42, 42, 42, 42, 42, 44, 48, 48, 50, 54, 54, 56, 58, 58, 61,
            63, 63, 66, 67, 67, 71, 71, 72, 75, 75, 47, 46, 45, 45, 44, 44, 44, 45, 45, 45, 45, 45,
            47, 50, 50, 53, 56, 56, 58, 60, 60, 64, 66, 66, 69, 70, 71, 74, 75, 76, 79, 79, 53, 52,
            51, 51, 49, 49, 49, 49, 50, 49, 49, 49, 51, 54, 54, 57, 60, 60, 63, 65, 65, 69, 71, 72,
            75, 76, 77, 81, 82, 83, 87, 87, 53, 52, 51, 51, 49, 49, 49, 49, 50, 49, 49, 49, 51, 54,
            54, 57, 60, 60, 63, 65, 65, 69, 71, 72, 75, 76, 77, 81, 82, 83, 87, 87, 59, 57, 56, 56,
            54, 54, 54, 54, 54, 54, 53, 53, 55, 58, 58, 61, 64, 64, 67, 69, 69, 73, 75, 76, 79, 80,
            81, 86, 87, 88, 92, 92,
        ],
        [
            32, 31, 31, 31, 30, 30, 31, 33, 33, 34, 37, 37, 39, 42, 42, 45, 49, 49, 48, 48, 48, 49,
            49, 49, 50, 50, 51, 52, 52, 53, 54, 54, 31, 31, 31, 31, 31, 31, 32, 35, 35, 36, 39, 39,
            40, 42, 42, 45, 47, 47, 47, 46, 46, 46, 46, 46, 47, 48, 48, 49, 49, 50, 51, 51, 31, 31,
            31, 31, 32, 32, 33, 35, 36, 37, 40, 40, 41, 43, 43, 44, 46, 46, 46, 46, 46, 45, 45, 45,
            46, 46, 47, 48, 48, 48, 50, 50, 31, 32, 32, 32, 32, 33, 33, 36, 36, 37, 41, 41, 42, 43,
            43, 45, 47, 47, 46, 46, 46, 45, 45, 45, 46, 46, 47, 48, 48, 48, 50, 50, 35, 36, 37, 37,
            38, 38, 38, 41, 41, 42, 45, 45, 46, 46, 46, 47, 48, 48, 47, 46, 46, 46, 45, 46, 46, 46,
            47, 47, 47, 48, 49, 49, 37, 38, 38, 38, 39, 40, 40, 43, 43, 44, 47, 47, 47, 47, 47, 47,
            48, 48, 47, 47, 47, 46, 46, 46, 46, 46, 47, 47, 47, 48, 49, 49, 38, 39, 40, 40, 40, 41,
            41, 43, 44, 45, 47, 47, 47, 48, 48, 48, 49, 49, 48, 48, 48, 47, 47, 47, 48, 48, 48, 48,
            48, 49, 50, 50, 47, 46, 46, 46, 45, 45, 45, 46, 46, 47, 47, 47, 48, 50, 50, 51, 52, 52,
            52, 52, 52, 52, 52, 52, 53, 53, 53, 53, 53, 54, 55, 55, 48, 47, 47, 47, 46, 46, 46, 47,
            47, 47, 47, 47, 48, 50, 50, 51, 53, 53, 53, 53, 53, 53, 53, 53, 54, 54, 54, 54, 54, 54,
            55, 55, 48, 47, 47, 47, 46, 46, 46, 46, 46, 47, 47, 47, 48, 50, 50, 51, 53, 53, 53, 54,
            54, 54, 55, 55, 55, 55, 55, 56, 56, 56, 57, 57, 49, 48, 47, 47, 45, 45, 45, 45, 46, 45,
            45, 45, 47, 49, 49, 51, 53, 53, 55, 56, 56, 57, 58, 58, 59, 59, 60, 61, 61, 61, 62, 62,
            49, 48, 47, 47, 45, 45, 45, 45, 46, 45, 45, 45, 47, 49, 49, 51, 53, 53, 55, 56, 56, 57,
            58, 58, 59, 59, 60, 61, 61, 61, 62, 62, 50, 49, 48, 48, 46, 46, 46, 46, 46, 46, 46, 46,
            47, 50, 50, 52, 54, 54, 55, 56, 56, 58, 59, 60, 61, 61, 61, 63, 63, 63, 65, 65, 52, 50,
            50, 50, 48, 48, 48, 47, 47, 47, 47, 47, 48, 50, 50, 52, 54, 54, 56, 57, 57, 60, 61, 61,
            63, 64, 64, 66, 66, 67, 68, 68, 52, 50, 50, 50, 48, 48, 48, 47, 47, 47, 47, 47, 48, 50,
            50, 52, 54, 54, 56, 57, 57, 60, 61, 61, 63, 64, 64, 66, 66, 67, 68, 68, 54, 53, 52, 52,
            50, 50, 50, 49, 49, 49, 48, 48, 50, 52, 52, 54, 55, 55, 57, 59, 59, 61, 62, 63, 65, 65,
            66, 68, 68, 69, 71, 71,
        ],
    ],
    [
        [
            32, 31, 31, 31, 31, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 34, 34, 34, 35, 36, 36, 38,
            39, 39, 41, 44, 44, 44, 47, 48, 48, 51, 31, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32,
            32, 32, 33, 34, 34, 34, 35, 35, 35, 37, 38, 38, 40, 42, 42, 43, 45, 46, 46, 49, 31, 32,
            32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 33, 33, 33, 34, 34, 34, 34, 34, 34, 36, 37, 37,
            39, 41, 41, 42, 44, 45, 45, 47, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 33, 33,
            33, 34, 34, 34, 34, 34, 34, 36, 37, 37, 39, 41, 41, 42, 44, 45, 45, 47, 31, 32, 32, 32,
            32, 32, 32, 32, 33, 33, 33, 33, 34, 34, 34, 35, 35, 35, 36, 36, 36, 37, 39, 39, 40, 42,
            42, 42, 44, 45, 45, 48, 32, 32, 32, 32, 32, 33, 33, 33, 34, 34, 34, 35, 35, 35, 36, 37,
            37, 37, 38, 38, 38, 40, 40, 40, 41, 43, 43, 43, 45, 46, 46, 48, 32, 32, 32, 32, 32, 33,
            33, 33, 34, 34, 34, 35, 35, 35, 36, 37, 37, 37, 38, 38, 38, 40, 40, 40, 41, 43, 43, 43,
            45, 46, 46, 48, 32, 33, 33, 33, 33, 33, 33, 33, 34, 34, 34, 35, 36, 36, 36, 38, 38, 38,
            39, 40, 40, 41, 42, 42, 43, 45, 45, 45, 47, 48, 48, 50, 35, 35, 35, 35, 34, 34, 34, 34,
            35, 36, 36, 37, 37, 37, 39, 41, 41, 42, 45, 46, 46, 47, 48, 48, 49, 51, 51, 51, 53, 54,
            54, 56, 36, 35, 35, 35, 35, 34, 34, 35, 36, 36, 36, 37, 38, 38, 40, 42, 42, 43, 47, 48,
            48, 49, 50, 50, 51, 53, 53, 54, 56, 56, 56, 58, 36, 35, 35, 35, 35, 34, 34, 35, 36, 36,
            36, 37, 38, 38, 40, 42, 42, 43, 47, 48, 48, 49, 50, 50, 51, 53, 53, 54, 56, 56, 56, 58,
            40, 39, 39, 39, 39, 38, 38, 38, 39, 39, 39, 40, 41, 41, 42, 45, 45, 46, 50, 51, 51, 53,
            54, 54, 56, 59, 59, 59, 61, 62, 62, 64, 44, 43, 42, 42, 41, 41, 41, 41, 42, 42, 42, 42,
            42, 42, 44, 48, 48, 49, 52, 54, 54, 56, 58, 58, 60, 63, 63, 64, 66, 67, 67, 69, 44, 43,
            42, 42, 41, 41, 41, 41, 42, 42, 42, 42, 42, 42, 44, 48, 48, 49, 52, 54, 54, 56, 58, 58,
            60, 63, 63, 64, 66, 67, 67, 69, 47, 46, 45, 45, 45, 44, 44, 44, 44, 45, 45, 45, 45, 45,
            47, 50, 50, 51, 55, 56, 56, 58, 60, 60, 62, 66, 66, 67, 69, 70, 70, 73, 53, 52, 51, 51,
            50, 49, 49, 49, 49, 50, 50, 49, 49, 49, 51, 54, 54, 55, 59, 60, 60, 63, 65, 65, 67, 71,
            71, 72, 75, 76, 76, 79,
        ],
        [
            32, 31, 31, 31, 31, 30, 30, 31, 33, 33, 33, 35, 37, 37, 39, 42, 42, 43, 47, 49, 49, 48,
            48, 48, 48, 49, 49, 49, 50, 50, 50, 51, 31, 31, 31, 31, 31, 31, 31, 32, 34, 35, 35, 37,
            39, 39, 40, 42, 42, 43, 46, 47, 47, 47, 47, 47, 47, 46, 46, 47, 48, 48, 48, 49, 31, 31,
            31, 31, 32, 32, 32, 33, 35, 36, 36, 38, 40, 40, 41, 43, 43, 43, 46, 46, 46, 46, 46, 46,
            45, 45, 45, 45, 46, 46, 46, 47, 31, 31, 31, 31, 32, 32, 32, 33, 35, 36, 36, 38, 40, 40,
            41, 43, 43, 43, 46, 46, 46, 46, 46, 46, 45, 45, 45, 45, 46, 46, 46, 47, 33, 33, 34, 34,
            34, 35, 35, 35, 37, 38, 38, 41, 43, 43, 43, 44, 44, 45, 46, 47, 47, 46, 46, 46, 46, 45,
            45, 45, 46, 46, 46, 47, 37, 38, 38, 38, 39, 40, 40, 40, 42, 43, 43, 45, 47, 47, 47, 47,
            47, 47, 48, 48, 48, 47, 47, 47, 46, 46, 46, 46, 46, 46, 46, 47, 37, 38, 38, 38, 39, 40,
            40, 40, 42, 43, 43, 45, 47, 47, 47, 47, 47, 47, 48, 48, 48, 47, 47, 47, 46, 46, 46, 46,
            46, 46, 46, 47, 38, 39, 40, 40, 40, 41, 41, 41, 43, 44, 44, 46, 47, 47, 47, 48, 48, 48,
            48, 49, 49, 48, 48, 48, 47, 47, 47, 47, 48, 48, 48, 48, 45, 45, 45, 45, 45, 44, 44, 45,
            46, 46, 46, 47, 47, 47, 48, 49, 49, 50, 51, 52, 52, 52, 51, 51, 51, 51, 51, 52, 52, 52,
            52, 52, 48, 47, 47, 47, 46, 46, 46, 46, 47, 47, 47, 47, 47, 47, 48, 50, 50, 50, 52, 53,
            53, 53, 53, 53, 53, 53, 53, 53, 54, 54, 54, 54, 48, 47, 47, 47, 46, 46, 46, 46, 47, 47,
            47, 47, 47, 47, 48, 50, 50, 50, 52, 53, 53, 53, 53, 53, 53, 53, 53, 53, 54, 54, 54, 54,
            49, 48, 47, 47, 46, 45, 45, 45, 46, 46, 46, 46, 46, 46, 47, 49, 49, 50, 52, 53, 53, 54,
            54, 54, 55, 56, 56, 56, 57, 57, 57, 58, 49, 48, 47, 47, 46, 45, 45, 45, 45, 46, 46, 45,
            45, 45, 47, 49, 49, 50, 53, 53, 53, 55, 56, 56, 57, 58, 58, 58, 59, 59, 59, 60, 49, 48,
            47, 47, 46, 45, 45, 45, 45, 46, 46, 45, 45, 45, 47, 49, 49, 50, 53, 53, 53, 55, 56, 56,
            57, 58, 58, 58, 59, 59, 59, 60, 50, 49, 48, 48, 47, 46, 46, 46, 46, 46, 46, 46, 46, 46,
            47, 50, 50, 50, 53, 54, 54, 55, 56, 56, 57, 59, 59, 60, 61, 61, 61, 62, 52, 51, 50, 50,
            49, 48, 48, 48, 47, 47, 47, 47, 47, 47, 48, 50, 50, 51, 53, 54, 54, 56, 57, 57, 59, 61,
            61, 62, 63, 64, 64, 65,
        ],
    ],
    [
        [
            32, 31, 31, 31, 31, 31, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 33, 34, 34, 34, 35,
            36, 36, 36, 37, 39, 39, 39, 41, 44, 44, 31, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32,
            32, 32, 32, 32, 32, 33, 34, 34, 34, 34, 35, 35, 35, 37, 38, 38, 38, 40, 42, 42, 31, 31,
            32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 33, 33, 33, 33, 34, 34, 34, 34, 34, 34,
            34, 36, 37, 37, 37, 39, 41, 41, 31, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32,
            33, 33, 33, 33, 34, 34, 34, 34, 34, 34, 34, 36, 37, 37, 37, 39, 41, 41, 31, 31, 32, 32,
            32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 33, 33, 33, 33, 34, 34, 34, 34, 34, 34, 34, 36,
            37, 37, 37, 39, 41, 41, 32, 32, 32, 32, 32, 32, 32, 32, 32, 33, 33, 33, 33, 33, 34, 34,
            34, 34, 35, 35, 35, 36, 36, 36, 36, 38, 39, 39, 39, 40, 42, 42, 32, 32, 32, 32, 32, 32,
            33, 33, 33, 33, 34, 34, 34, 34, 35, 35, 35, 36, 37, 37, 37, 37, 38, 38, 38, 39, 40, 40,
            40, 42, 43, 43, 32, 32, 32, 32, 32, 32, 33, 33, 33, 33, 34, 34, 34, 34, 35, 35, 35, 36,
            37, 37, 37, 37, 38, 38, 38, 39, 40, 40, 40, 42, 43, 43, 32, 32, 32, 32, 32, 32, 33, 33,
            33, 33, 34, 34, 34, 34, 35, 35, 35, 36, 37, 37, 37, 37, 38, 38, 38, 39, 40, 40, 40, 42,
            43, 43, 34, 34, 34, 34, 34, 34, 33, 33, 33, 34, 35, 35, 35, 36, 37, 37, 37, 38, 39, 39,
            39, 41, 43, 43, 43, 44, 45, 45, 45, 46, 48, 48, 36, 35, 35, 35, 35, 35, 34, 34, 34, 35,
            36, 36, 36, 37, 38, 38, 38, 40, 42, 42, 42, 45, 48, 48, 48, 49, 50, 50, 50, 52, 53, 53,
            36, 35, 35, 35, 35, 35, 34, 34, 34, 35, 36, 36, 36, 37, 38, 38, 38, 40, 42, 42, 42, 45,
            48, 48, 48, 49, 50, 50, 50, 52, 53, 53, 36, 35, 35, 35, 35, 35, 34, 34, 34, 35, 36, 36,
            36, 37, 38, 38, 38, 40, 42, 42, 42, 45, 48, 48, 48, 49, 50, 50, 50, 52, 53, 53, 39, 39,
            38, 38, 38, 38, 37, 37, 37, 38, 39, 39, 39, 40, 40, 40, 40, 42, 45, 45, 45, 47, 51, 51,
            51, 52, 54, 54, 54, 56, 58, 58, 44, 43, 42, 42, 42, 41, 41, 41, 41, 41, 42, 42, 42, 42,
            42, 42, 42, 45, 48, 48, 48, 50, 54, 54, 54, 56, 58, 58, 58, 60, 63, 63, 44, 43, 42, 42,
            42, 41, 41, 41, 41, 41, 42, 42, 42, 42, 42, 42, 42, 45, 48, 48, 48, 50, 54, 54, 54, 56,
            58, 58, 58, 60, 63, 63,
        ],
        [
            32, 31, 31, 31, 31, 31, 30, 30, 30, 32, 33, 33, 33, 35, 37, 37, 37, 39, 42, 42, 42, 45,
            49, 49, 49, 48, 48, 48, 48, 48, 49, 49, 31, 31, 31, 31, 31, 31, 31, 31, 31, 33, 34, 34,
            34, 36, 38, 38, 38, 40, 42, 42, 42, 45, 48, 48, 48, 47, 47, 47, 47, 47, 47, 47, 31, 31,
            31, 31, 31, 32, 32, 32, 32, 34, 36, 36, 36, 38, 40, 40, 40, 41, 43, 43, 43, 44, 46, 46,
            46, 46, 46, 46, 46, 45, 45, 45, 31, 31, 31, 31, 31, 32, 32, 32, 32, 34, 36, 36, 36, 38,
            40, 40, 40, 41, 43, 43, 43, 44, 46, 46, 46, 46, 46, 46, 46, 45, 45, 45, 31, 31, 31, 31,
            31, 32, 32, 32, 32, 34, 36, 36, 36, 38, 40, 40, 40, 41, 43, 43, 43, 44, 46, 46, 46, 46,
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            32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 31, 31, 31, 31, 31, 31, 32, 32, 32, 32,
            32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32,
            31, 31, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32,
            32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 31, 31, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32,
            32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 31, 31,
            31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32,
            32, 32, 32, 32, 32, 32, 32, 32, 31, 31, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 32,
            32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 31, 31, 31, 31,
            31, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32,
            32, 32, 32, 32, 32, 32,
        ],
        [
            32, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31,
            31, 31, 31, 31, 31, 30, 30, 30, 30, 30, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31,
            31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 30, 30, 30, 31, 31,
            31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31,
            31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31,
            31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31,
            31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31,
            31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31,
            31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31,
            31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31,
            31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31,
            31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31,
            31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 32,
            32, 32, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31,
            31, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31,
            31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32,
            31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31,
            31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31,
            31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 31, 31,
            31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 32,
            32, 32, 32, 32, 32, 32, 32, 32, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31,
            31, 31, 31, 31, 31, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 31, 31, 31, 31,
            31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 32, 32, 32,
            32, 32, 32, 32, 32, 32,
        ],
    ],
];

// Source data: 15 quantizer matrix levels x 2 planes x 528 triangular values
// (lower triangle of 32x32, stored row by row: 1 + 2 + ... + 32 = 528)
#[allow(clippy::unreadable_literal)]
static QM_TBL_32X32_T: [[[u8; 528]; 2]; 15] = [
    [
        [
            32, 31, 32, 31, 32, 32, 31, 32, 32, 32, 31, 32, 32, 33, 33, 32, 32, 32, 33, 34, 35, 34,
            34, 33, 34, 35, 37, 39, 35, 34, 34, 35, 36, 37, 41, 43, 36, 35, 34, 35, 36, 38, 42, 45,
            48, 39, 38, 37, 38, 39, 40, 45, 47, 50, 54, 44, 42, 41, 41, 42, 42, 47, 50, 54, 58, 63,
            46, 44, 42, 43, 44, 44, 49, 52, 55, 59, 65, 67, 48, 46, 44, 45, 45, 46, 51, 53, 57, 61,
            67, 69, 71, 54, 51, 49, 49, 50, 49, 54, 57, 60, 65, 71, 74, 76, 82, 59, 56, 54, 54, 54,
            53, 58, 61, 64, 69, 75, 78, 80, 87, 92, 62, 59, 56, 56, 56, 55, 60, 63, 66, 71, 77, 80,
            83, 89, 95, 98, 65, 62, 59, 59, 59, 58, 63, 65, 68, 73, 79, 82, 85, 92, 98, 101, 105,
            71, 68, 65, 64, 64, 63, 68, 70, 73, 78, 84, 87, 90, 97, 103, 107, 111, 117, 80, 76, 72,
            72, 71, 69, 74, 76, 79, 84, 90, 93, 96, 104, 110, 114, 118, 125, 134, 81, 77, 73, 73,
            72, 70, 75, 77, 80, 85, 91, 94, 97, 105, 111, 115, 119, 126, 135, 137, 83, 78, 75, 74,
            74, 72, 76, 79, 81, 86, 92, 95, 99, 106, 113, 117, 121, 128, 137, 138, 140, 88, 84, 80,
            79, 78, 76, 80, 82, 85, 91, 95, 98, 103, 111, 115, 119, 126, 134, 139, 144, 147, 152,
            91, 86, 83, 82, 81, 79, 81, 84, 88, 92, 95, 100, 107, 110, 115, 123, 127, 132, 140,
            147, 151, 154, 159, 94, 89, 86, 85, 84, 82, 82, 86, 90, 92, 97, 103, 105, 111, 119,
            121, 128, 136, 139, 146, 156, 158, 161, 166, 97, 92, 90, 88, 86, 85, 84, 89, 91, 95,
            100, 102, 108, 114, 116, 125, 130, 133, 143, 148, 152, 163, 166, 168, 174, 101, 95, 93,
            91, 89, 89, 87, 91, 93, 98, 101, 105, 111, 113, 120, 126, 130, 138, 142, 149, 157, 159,
            171, 174, 176, 183, 104, 99, 97, 94, 93, 93, 90, 92, 96, 100, 102, 108, 111, 116, 122,
            125, 134, 137, 144, 151, 155, 165, 169, 179, 182, 184, 191, 107, 102, 101, 97, 96, 96,
            93, 93, 99, 101, 105, 110, 113, 120, 122, 129, 133, 140, 146, 150, 161, 163, 173, 178,
            187, 191, 193, 200, 111, 105, 104, 101, 100, 99, 97, 96, 102, 103, 109, 111, 117, 120,
            125, 131, 135, 143, 146, 156, 158, 168, 173, 180, 189, 195, 200, 202, 210, 115, 109,
            108, 104, 104, 102, 101, 100, 103, 106, 111, 113, 119, 121, 129, 131, 140, 142, 151,
            155, 162, 168, 176, 183, 188, 199, 204, 210, 212, 220, 119, 113, 112, 107, 107, 106,
            105, 103, 105, 110, 112, 117, 120, 125, 130, 135, 140, 145, 152, 157, 165, 169, 179,
            183, 193, 197, 210, 214, 220, 222, 231, 123, 116, 116, 111, 111, 109, 110, 107, 107,
            114, 114, 121, 122, 130, 130, 140, 140, 150, 151, 163, 164, 176, 177, 190, 191, 204,
            206, 222, 224, 230, 232, 242,
        ],
        [
            32, 31, 31, 30, 31, 32, 32, 33, 33, 35, 33, 34, 35, 37, 39, 36, 38, 40, 41, 43, 47, 41,
            42, 42, 43, 45, 47, 48, 45, 45, 44, 45, 46, 47, 49, 50, 49, 47, 46, 47, 47, 48, 50, 51,
            53, 48, 47, 45, 46, 46, 46, 49, 51, 53, 54, 49, 47, 45, 45, 45, 45, 49, 51, 53, 55, 58,
            50, 47, 45, 46, 46, 46, 49, 51, 54, 56, 59, 60, 50, 48, 46, 46, 46, 46, 50, 52, 54, 56,
            60, 60, 61, 52, 50, 47, 47, 47, 47, 50, 52, 54, 57, 61, 62, 63, 66, 54, 52, 49, 49, 49,
            48, 52, 53, 55, 58, 62, 64, 65, 68, 71, 56, 53, 51, 50, 50, 49, 52, 54, 56, 59, 63, 64,
            66, 69, 72, 73, 57, 54, 52, 51, 51, 50, 53, 55, 56, 60, 63, 65, 67, 70, 73, 75, 76, 60,
            57, 54, 54, 53, 52, 55, 57, 58, 61, 65, 67, 68, 72, 75, 77, 79, 82, 63, 60, 57, 57, 56,
            54, 57, 59, 60, 63, 67, 69, 71, 75, 78, 80, 82, 85, 89, 64, 61, 58, 57, 57, 55, 58, 59,
            61, 64, 67, 69, 71, 75, 78, 80, 82, 85, 89, 90, 65, 61, 58, 58, 57, 55, 58, 60, 61, 64,
            68, 70, 71, 75, 79, 81, 83, 86, 90, 91, 91, 67, 63, 61, 60, 59, 57, 60, 61, 63, 66, 69,
            70, 73, 77, 79, 81, 85, 88, 90, 92, 94, 96, 68, 64, 62, 61, 60, 58, 59, 61, 64, 66, 67,
            71, 74, 75, 78, 82, 84, 86, 90, 93, 94, 96, 98, 69, 65, 63, 62, 61, 59, 59, 62, 64, 65,
            68, 71, 72, 75, 79, 80, 83, 87, 89, 92, 96, 97, 98, 100, 70, 66, 64, 63, 62, 61, 60,
            63, 64, 66, 69, 70, 73, 76, 77, 81, 84, 85, 89, 92, 93, 98, 99, 100, 102, 71, 67, 66,
            64, 63, 62, 61, 63, 64, 67, 68, 70, 74, 75, 78, 81, 83, 86, 88, 91, 94, 95, 100, 101,
            102, 104, 72, 68, 67, 65, 64, 64, 61, 63, 65, 67, 68, 71, 73, 75, 78, 79, 84, 85, 88,
            91, 93, 97, 98, 102, 103, 104, 106, 73, 69, 68, 66, 65, 65, 63, 63, 66, 67, 69, 71, 73,
            76, 77, 81, 82, 85, 88, 90, 94, 95, 99, 101, 104, 105, 106, 109, 74, 70, 70, 67, 66,
            66, 64, 63, 66, 67, 70, 71, 74, 75, 78, 80, 82, 86, 87, 91, 92, 96, 98, 101, 104, 106,
            108, 108, 111, 75, 71, 71, 68, 68, 67, 66, 64, 66, 68, 70, 71, 74, 75, 79, 79, 84, 84,
            88, 90, 93, 95, 98, 101, 103, 107, 108, 110, 111, 113, 76, 72, 72, 69, 69, 68, 67, 65,
            66, 69, 70, 72, 74, 76, 78, 81, 83, 85, 88, 90, 93, 95, 98, 100, 104, 105, 109, 111,
            112, 113, 116, 78, 74, 74, 70, 70, 69, 69, 66, 66, 70, 70, 74, 74, 77, 78, 82, 82, 86,
            87, 92, 92, 96, 97, 102, 102, 107, 107, 112, 113, 115, 115, 118,
        ],
    ],
    [
        [
            32, 31, 32, 31, 32, 32, 31, 32, 32, 32, 31, 32, 32, 32, 33, 32, 32, 32, 33, 34, 35, 32,
            33, 33, 33, 34, 36, 36, 34, 34, 33, 34, 35, 37, 38, 39, 36, 35, 34, 35, 36, 38, 40, 42,
            48, 38, 37, 36, 36, 38, 39, 41, 44, 50, 51, 39, 38, 37, 38, 39, 40, 42, 45, 50, 52, 54,
            44, 42, 41, 41, 42, 42, 44, 47, 54, 56, 58, 63, 47, 45, 44, 44, 45, 45, 47, 50, 56, 58,
            60, 66, 69, 49, 47, 46, 45, 46, 46, 48, 51, 57, 60, 62, 68, 71, 73, 54, 51, 50, 49, 50,
            49, 51, 54, 60, 63, 65, 71, 75, 77, 82, 59, 56, 54, 54, 54, 53, 55, 58, 64, 67, 69, 75,
            79, 81, 87, 92, 61, 58, 56, 56, 56, 55, 57, 60, 65, 68, 70, 77, 81, 83, 89, 94, 97, 65,
            62, 60, 59, 59, 58, 60, 63, 68, 71, 73, 79, 84, 87, 92, 98, 101, 105, 71, 68, 65, 65,
            64, 63, 65, 68, 73, 76, 78, 84, 89, 92, 97, 103, 106, 111, 117, 76, 72, 70, 69, 68, 66,
            68, 71, 76, 79, 81, 88, 92, 95, 101, 107, 110, 115, 122, 127, 80, 76, 73, 72, 71, 69,
            71, 74, 79, 82, 84, 90, 95, 98, 104, 110, 113, 118, 125, 130, 134, 83, 78, 76, 75, 74,
            72, 73, 76, 81, 84, 86, 92, 97, 100, 106, 113, 116, 121, 128, 133, 137, 140, 86, 82,
            79, 78, 77, 74, 76, 79, 84, 87, 89, 95, 100, 103, 109, 116, 119, 124, 131, 136, 140,
            144, 147, 89, 85, 82, 81, 79, 78, 78, 82, 86, 87, 92, 97, 100, 105, 112, 114, 120, 128,
            131, 136, 146, 147, 150, 155, 92, 88, 85, 84, 82, 81, 80, 85, 86, 90, 95, 97, 102, 107,
            110, 117, 122, 125, 134, 138, 142, 152, 154, 156, 162, 95, 90, 88, 86, 85, 84, 82, 86,
            88, 93, 95, 99, 105, 106, 113, 118, 121, 129, 132, 139, 146, 148, 159, 161, 163, 169,
            98, 93, 91, 89, 88, 87, 85, 87, 90, 94, 96, 102, 104, 109, 114, 117, 126, 128, 134,
            141, 145, 154, 157, 166, 168, 170, 176, 101, 96, 95, 92, 91, 90, 88, 88, 93, 95, 99,
            103, 106, 112, 114, 121, 124, 131, 136, 140, 149, 151, 160, 165, 173, 176, 178, 184,
            104, 99, 98, 95, 94, 93, 91, 90, 95, 96, 102, 103, 109, 112, 117, 122, 125, 133, 136,
            145, 146, 156, 160, 167, 174, 180, 184, 186, 193, 108, 102, 101, 98, 97, 96, 95, 93,
            97, 100, 104, 106, 111, 113, 121, 122, 130, 132, 140, 143, 150, 155, 162, 169, 174,
            183, 188, 192, 194, 201, 111, 105, 105, 101, 100, 99, 98, 96, 98, 103, 105, 109, 112,
            117, 121, 125, 130, 135, 141, 146, 152, 156, 165, 169, 178, 181, 193, 196, 201, 202,
            210, 114, 109, 109, 104, 104, 102, 102, 99, 100, 106, 106, 113, 113, 120, 121, 129,
            130, 139, 140, 151, 151, 162, 162, 175, 176, 187, 188, 203, 204, 210, 211, 219,
        ],
        [
            32, 31, 31, 30, 31, 31, 31, 32, 32, 33, 33, 34, 35, 36, 39, 36, 38, 39, 40, 43, 47, 38,
            40, 41, 41, 44, 47, 47, 41, 42, 42, 43, 45, 47, 48, 48, 49, 47, 46, 46, 47, 48, 49, 50,
            53, 49, 47, 46, 46, 46, 47, 48, 50, 53, 53, 48, 47, 46, 45, 46, 46, 48, 49, 53, 54, 54,
            49, 47, 45, 45, 45, 45, 47, 49, 53, 55, 55, 58, 50, 48, 46, 46, 46, 46, 47, 50, 54, 55,
            56, 59, 61, 51, 48, 47, 46, 47, 46, 47, 50, 54, 55, 56, 60, 61, 62, 52, 50, 48, 47, 47,
            47, 48, 50, 54, 56, 57, 61, 63, 64, 66, 54, 52, 50, 49, 49, 48, 49, 52, 55, 57, 58, 62,
            64, 66, 68, 71, 55, 53, 51, 50, 50, 49, 50, 52, 56, 58, 59, 63, 65, 66, 69, 72, 73, 57,
            54, 52, 51, 51, 50, 51, 53, 56, 58, 60, 63, 66, 67, 70, 73, 74, 76, 60, 57, 55, 54, 53,
            52, 53, 55, 58, 60, 61, 65, 68, 69, 72, 75, 77, 79, 82, 62, 59, 57, 56, 55, 53, 54, 56,
            59, 61, 63, 66, 69, 70, 74, 77, 78, 80, 84, 86, 63, 60, 58, 57, 56, 54, 55, 57, 60, 62,
            63, 67, 70, 71, 75, 78, 79, 82, 85, 87, 89, 65, 61, 59, 58, 57, 55, 56, 58, 61, 63, 64,
            68, 71, 72, 75, 79, 80, 83, 86, 88, 90, 91, 66, 63, 60, 59, 58, 56, 58, 59, 62, 64, 65,
            69, 72, 73, 76, 80, 81, 84, 87, 90, 91, 93, 94, 67, 64, 62, 61, 59, 58, 58, 60, 63, 64,
            66, 69, 71, 73, 77, 78, 81, 85, 86, 89, 93, 94, 95, 97, 68, 65, 63, 62, 60, 59, 58, 61,
            62, 64, 67, 68, 71, 74, 75, 79, 81, 83, 87, 89, 91, 95, 96, 97, 99, 69, 66, 64, 63, 61,
            61, 59, 61, 62, 65, 66, 68, 72, 73, 76, 78, 80, 84, 85, 88, 91, 92, 97, 98, 98, 101,
            70, 67, 65, 63, 62, 62, 60, 61, 63, 65, 66, 69, 71, 73, 76, 77, 81, 83, 85, 88, 90, 94,
            95, 99, 100, 100, 103, 71, 67, 67, 64, 63, 63, 61, 61, 64, 65, 67, 69, 71, 74, 75, 78,
            80, 83, 85, 87, 91, 92, 95, 97, 100, 102, 102, 105, 72, 68, 68, 65, 65, 64, 62, 62, 64,
            65, 68, 69, 72, 73, 76, 78, 80, 83, 84, 88, 89, 93, 95, 97, 100, 102, 104, 104, 107,
            73, 69, 69, 66, 66, 65, 64, 63, 64, 66, 68, 69, 72, 73, 77, 77, 81, 82, 86, 87, 90, 92,
            95, 97, 99, 103, 104, 106, 106, 109, 74, 70, 70, 67, 67, 66, 65, 63, 64, 67, 68, 70,
            72, 74, 76, 78, 80, 82, 85, 87, 90, 91, 95, 96, 100, 101, 105, 106, 108, 108, 111, 75,
            71, 71, 68, 68, 66, 66, 64, 64, 68, 68, 71, 71, 75, 75, 79, 79, 83, 84, 88, 89, 93, 93,
            98, 98, 102, 103, 108, 108, 110, 110, 113,
        ],
    ],
    [
        [
            32, 31, 32, 31, 32, 32, 31, 32, 32, 32, 31, 32, 32, 32, 33, 32, 32, 32, 32, 33, 34, 32,
            32, 32, 32, 34, 34, 35, 34, 34, 33, 33, 35, 36, 37, 39, 34, 34, 34, 34, 36, 36, 37, 41,
            42, 36, 35, 34, 34, 36, 37, 38, 42, 45, 48, 39, 38, 38, 37, 39, 40, 40, 45, 47, 50, 54,
            41, 39, 39, 38, 40, 40, 41, 46, 48, 51, 55, 56, 44, 42, 41, 41, 42, 42, 42, 47, 50, 54,
            58, 59, 63, 48, 46, 45, 44, 45, 45, 45, 50, 53, 56, 61, 62, 66, 70, 49, 47, 46, 45, 46,
            46, 46, 51, 53, 57, 62, 63, 68, 71, 73, 54, 51, 50, 49, 50, 49, 49, 54, 56, 60, 65, 67,
            71, 76, 77, 82, 58, 55, 54, 53, 53, 53, 52, 57, 59, 63, 68, 70, 74, 79, 81, 86, 90, 59,
            57, 55, 54, 54, 54, 54, 59, 61, 64, 69, 71, 75, 80, 82, 87, 91, 93, 65, 62, 60, 59, 59,
            58, 58, 63, 65, 68, 73, 75, 79, 85, 87, 92, 97, 99, 105, 69, 66, 64, 63, 63, 62, 61,
            66, 68, 71, 76, 78, 83, 88, 90, 96, 100, 102, 109, 113, 71, 68, 66, 65, 64, 63, 63, 68,
            70, 73, 78, 80, 84, 90, 92, 97, 102, 104, 111, 115, 117, 80, 76, 73, 72, 71, 70, 69,
            74, 76, 79, 84, 86, 90, 96, 98, 104, 109, 111, 118, 123, 125, 134, 81, 77, 75, 74, 73,
            72, 71, 75, 77, 80, 85, 87, 91, 97, 99, 105, 110, 112, 120, 125, 127, 136, 137, 83, 78,
            76, 75, 74, 73, 72, 76, 78, 81, 86, 88, 92, 98, 100, 106, 111, 113, 121, 126, 128, 137,
            139, 140, 87, 83, 81, 79, 78, 77, 75, 80, 82, 85, 90, 91, 96, 101, 103, 110, 114, 117,
            125, 129, 133, 142, 143, 145, 150, 90, 85, 83, 81, 80, 79, 78, 81, 83, 87, 89, 93, 98,
            100, 106, 110, 114, 121, 124, 130, 136, 138, 148, 149, 151, 156, 93, 88, 86, 84, 83,
            82, 80, 82, 85, 89, 90, 96, 98, 102, 107, 109, 118, 120, 125, 131, 134, 143, 145, 153,
            156, 157, 163, 95, 90, 89, 86, 85, 85, 83, 83, 88, 89, 93, 97, 99, 105, 106, 113, 116,
            122, 127, 130, 139, 140, 148, 153, 159, 162, 164, 169, 98, 93, 92, 89, 88, 87, 86, 85,
            89, 90, 96, 97, 102, 105, 109, 114, 117, 124, 126, 134, 136, 144, 148, 154, 160, 166,
            169, 170, 176, 101, 96, 95, 91, 91, 90, 89, 87, 90, 93, 97, 99, 104, 105, 112, 113,
            121, 122, 130, 133, 139, 144, 150, 155, 160, 168, 172, 176, 177, 184, 104, 99, 98, 94,
            94, 92, 92, 90, 92, 96, 98, 102, 104, 109, 112, 116, 121, 125, 130, 135, 141, 144, 152,
            155, 163, 166, 177, 179, 184, 185, 191, 107, 101, 101, 97, 97, 95, 95, 93, 93, 99, 99,
            105, 105, 112, 112, 120, 120, 129, 129, 139, 140, 149, 149, 161, 161, 172, 172, 185,
            186, 191, 192, 199,
        ],
        [
            32, 31, 31, 30, 31, 31, 30, 31, 31, 32, 33, 34, 35, 35, 39, 35, 36, 37, 37, 41, 43, 36,
            38, 39, 40, 43, 45, 47, 41, 42, 42, 42, 45, 46, 47, 48, 44, 44, 44, 44, 46, 46, 47, 49,
            50, 49, 47, 47, 46, 47, 47, 48, 50, 51, 53, 48, 47, 46, 45, 46, 46, 46, 49, 51, 53, 54,
            48, 47, 46, 45, 46, 46, 46, 49, 51, 53, 54, 55, 49, 47, 46, 45, 45, 45, 45, 49, 51, 53,
            55, 56, 58, 50, 48, 47, 46, 46, 46, 46, 50, 51, 54, 56, 57, 59, 61, 51, 48, 47, 46, 47,
            46, 46, 50, 51, 54, 56, 57, 60, 62, 62, 52, 50, 48, 47, 47, 47, 47, 50, 52, 54, 57, 58,
            61, 63, 64, 66, 54, 51, 50, 49, 49, 48, 48, 51, 53, 55, 58, 59, 62, 64, 65, 68, 70, 55,
            52, 51, 50, 49, 49, 48, 52, 53, 55, 59, 60, 62, 65, 66, 68, 70, 71, 57, 54, 53, 52, 51,
            50, 50, 53, 54, 56, 60, 61, 63, 66, 67, 70, 73, 73, 76, 59, 56, 54, 53, 53, 52, 51, 54,
            56, 58, 61, 62, 65, 68, 69, 72, 74, 75, 78, 80, 60, 57, 55, 54, 53, 53, 52, 55, 56, 58,
            61, 63, 65, 68, 69, 72, 75, 76, 79, 81, 82, 63, 60, 58, 57, 56, 55, 54, 57, 59, 60, 63,
            65, 67, 70, 71, 75, 77, 78, 82, 84, 85, 89, 64, 61, 59, 58, 57, 56, 55, 58, 59, 61, 64,
            65, 68, 71, 72, 75, 78, 79, 82, 85, 86, 89, 90, 65, 61, 60, 58, 57, 56, 55, 58, 59, 61,
            64, 65, 68, 71, 72, 75, 78, 79, 83, 85, 86, 90, 91, 91, 67, 63, 61, 60, 59, 58, 57, 60,
            61, 63, 65, 66, 69, 72, 73, 77, 79, 80, 84, 86, 88, 92, 93, 93, 95, 68, 64, 63, 61, 60,
            59, 58, 60, 61, 63, 65, 67, 70, 71, 74, 76, 78, 81, 83, 86, 88, 89, 94, 94, 95, 97, 68,
            65, 64, 62, 61, 60, 58, 59, 61, 64, 64, 68, 69, 71, 74, 75, 79, 80, 83, 86, 87, 91, 92,
            95, 96, 97, 99, 69, 66, 65, 63, 62, 61, 59, 59, 62, 63, 65, 67, 69, 72, 72, 76, 78, 80,
            83, 84, 88, 89, 92, 94, 97, 98, 99, 101, 70, 67, 66, 63, 63, 62, 61, 60, 63, 63, 66,
            67, 69, 71, 73, 76, 77, 81, 82, 85, 86, 90, 91, 94, 96, 99, 100, 100, 103, 71, 67, 67,
            64, 64, 63, 62, 61, 62, 64, 66, 67, 70, 71, 74, 74, 78, 79, 83, 84, 87, 89, 91, 94, 95,
            99, 100, 102, 102, 104, 72, 68, 68, 65, 65, 64, 63, 61, 62, 65, 66, 68, 69, 71, 73, 75,
            77, 79, 82, 84, 87, 88, 92, 93, 96, 97, 101, 102, 104, 104, 106, 73, 69, 69, 66, 66,
            64, 64, 62, 62, 66, 66, 69, 69, 72, 73, 76, 77, 81, 81, 85, 85, 89, 90, 94, 94, 99, 99,
            104, 104, 106, 106, 108,
        ],
    ],
    [
        [
            32, 31, 32, 31, 32, 32, 31, 32, 32, 32, 31, 32, 32, 32, 33, 31, 32, 32, 32, 33, 33, 32,
            32, 32, 32, 33, 34, 35, 32, 33, 33, 33, 34, 34, 36, 36, 34, 34, 34, 33, 35, 35, 37, 38,
            39, 35, 35, 34, 34, 36, 36, 38, 39, 42, 46, 36, 35, 35, 34, 36, 36, 38, 40, 42, 47, 48,
            39, 38, 38, 37, 39, 39, 40, 42, 45, 49, 50, 54, 41, 40, 39, 38, 40, 40, 41, 43, 46, 50,
            52, 55, 57, 44, 42, 42, 41, 42, 42, 42, 44, 47, 52, 54, 58, 60, 63, 47, 45, 45, 44, 44,
            45, 45, 47, 50, 55, 56, 60, 62, 66, 69, 48, 46, 45, 44, 45, 45, 46, 47, 51, 55, 57, 61,
            63, 67, 70, 71, 54, 51, 50, 49, 49, 50, 49, 51, 54, 59, 60, 65, 67, 71, 75, 76, 82, 56,
            53, 52, 51, 51, 51, 51, 53, 56, 60, 61, 66, 69, 73, 77, 78, 84, 86, 59, 56, 55, 54, 54,
            54, 53, 55, 58, 62, 64, 69, 71, 75, 79, 80, 87, 89, 92, 64, 61, 60, 58, 58, 58, 57, 59,
            62, 66, 67, 72, 75, 79, 83, 84, 91, 93, 97, 102, 65, 62, 61, 59, 59, 59, 58, 60, 63,
            67, 68, 73, 75, 79, 84, 85, 92, 94, 98, 103, 105, 71, 68, 67, 65, 64, 64, 63, 65, 68,
            72, 73, 78, 80, 84, 89, 90, 97, 100, 103, 109, 111, 117, 74, 71, 69, 68, 67, 67, 65,
            67, 70, 74, 75, 80, 83, 86, 91, 93, 100, 102, 106, 112, 114, 120, 123, 80, 76, 74, 72,
            71, 71, 69, 71, 74, 78, 79, 84, 86, 90, 95, 96, 104, 106, 110, 116, 118, 125, 128, 134,
            82, 78, 76, 74, 73, 73, 71, 73, 76, 79, 80, 86, 88, 92, 97, 98, 106, 108, 112, 118,
            120, 127, 131, 136, 139, 83, 78, 77, 75, 74, 74, 72, 73, 76, 80, 81, 86, 89, 92, 97,
            99, 106, 109, 113, 119, 121, 128, 131, 137, 139, 140, 87, 83, 81, 79, 78, 78, 75, 77,
            80, 83, 85, 90, 92, 96, 100, 102, 110, 112, 117, 122, 125, 133, 135, 142, 144, 145,
            150, 90, 85, 84, 81, 80, 80, 78, 78, 82, 84, 87, 91, 93, 98, 99, 106, 108, 113, 118,
            121, 129, 130, 137, 141, 147, 150, 151, 156, 92, 88, 87, 84, 83, 82, 80, 80, 84, 85,
            90, 91, 95, 98, 102, 106, 109, 115, 117, 125, 126, 134, 137, 142, 148, 152, 155, 156,
            162, 95, 90, 89, 86, 85, 84, 83, 82, 85, 87, 91, 92, 97, 98, 105, 105, 112, 114, 121,
            123, 129, 133, 138, 143, 147, 155, 158, 161, 162, 168, 97, 92, 92, 88, 88, 86, 86, 84,
            85, 90, 91, 95, 97, 101, 104, 108, 112, 116, 121, 125, 130, 133, 140, 143, 150, 152,
            162, 164, 168, 168, 174, 100, 95, 95, 90, 90, 89, 89, 86, 86, 92, 92, 97, 98, 104, 104,
            111, 111, 119, 119, 128, 129, 137, 137, 147, 148, 157, 158, 169, 170, 174, 175, 181,
        ],
        [
            32, 31, 31, 31, 31, 31, 30, 31, 31, 32, 33, 34, 34, 34, 37, 33, 34, 35, 35, 38, 39, 36,
            38, 39, 40, 42, 43, 47, 38, 40, 40, 41, 43, 44, 47, 47, 41, 42, 42, 42, 44, 45, 47, 48,
            48, 47, 46, 46, 45, 46, 47, 47, 48, 50, 52, 49, 47, 47, 46, 47, 47, 48, 49, 50, 52, 53,
            48, 47, 46, 45, 46, 46, 46, 48, 49, 52, 53, 54, 49, 47, 46, 45, 46, 46, 46, 47, 49, 52,
            53, 55, 55, 49, 47, 46, 45, 45, 45, 45, 47, 49, 52, 53, 55, 57, 58, 50, 48, 47, 46, 46,
            46, 46, 47, 50, 53, 54, 56, 57, 59, 61, 50, 48, 47, 46, 46, 46, 46, 47, 50, 53, 54, 56,
            58, 60, 61, 61, 52, 50, 49, 47, 47, 47, 47, 48, 50, 53, 54, 57, 59, 61, 63, 63, 66, 53,
            50, 50, 48, 48, 48, 47, 49, 51, 54, 55, 58, 59, 62, 64, 64, 67, 68, 54, 52, 51, 49, 49,
            49, 48, 49, 52, 55, 55, 58, 60, 62, 64, 65, 68, 69, 71, 56, 54, 53, 51, 51, 51, 49, 51,
            53, 55, 56, 59, 61, 63, 66, 66, 70, 71, 73, 75, 57, 54, 53, 52, 51, 51, 50, 51, 53, 56,
            56, 60, 61, 63, 66, 67, 70, 71, 73, 76, 76, 60, 57, 56, 54, 53, 53, 52, 53, 55, 58, 58,
            61, 63, 65, 68, 68, 72, 73, 75, 78, 79, 82, 61, 58, 57, 55, 55, 54, 53, 54, 56, 58, 59,
            62, 64, 66, 69, 69, 73, 74, 76, 79, 80, 83, 84, 63, 60, 59, 57, 56, 56, 54, 55, 57, 60,
            60, 63, 65, 67, 70, 71, 75, 76, 78, 81, 82, 85, 86, 89, 64, 61, 60, 58, 57, 57, 55, 56,
            58, 60, 61, 64, 66, 68, 70, 71, 75, 77, 79, 82, 82, 86, 87, 90, 91, 65, 61, 60, 58, 57,
            57, 55, 56, 58, 61, 61, 64, 66, 68, 71, 71, 75, 77, 79, 82, 83, 86, 88, 90, 91, 91, 67,
            63, 62, 60, 59, 59, 57, 58, 60, 62, 63, 66, 67, 69, 72, 73, 77, 78, 80, 83, 84, 88, 89,
            92, 93, 93, 95, 67, 64, 63, 61, 60, 60, 58, 58, 61, 61, 63, 65, 67, 70, 70, 74, 75, 78,
            80, 81, 85, 86, 89, 91, 93, 94, 95, 97, 68, 65, 64, 62, 61, 60, 59, 58, 61, 61, 64, 65,
            67, 69, 71, 73, 75, 78, 79, 83, 83, 87, 88, 91, 93, 95, 96, 97, 99, 69, 65, 65, 62, 62,
            61, 60, 59, 61, 62, 64, 65, 68, 68, 72, 72, 76, 76, 80, 81, 84, 86, 88, 90, 92, 95, 96,
            98, 98, 100, 70, 66, 66, 63, 63, 62, 61, 60, 60, 63, 64, 66, 67, 69, 71, 73, 75, 77,
            79, 81, 84, 85, 88, 89, 93, 93, 97, 98, 100, 100, 102, 71, 67, 67, 64, 64, 62, 62, 60,
            60, 64, 64, 67, 67, 70, 70, 74, 74, 78, 78, 82, 82, 86, 86, 91, 91, 95, 95, 100, 100,
            101, 101, 104,
        ],
    ],
    [
        [
            32, 31, 32, 31, 32, 32, 31, 32, 32, 32, 31, 32, 32, 32, 32, 31, 32, 32, 32, 33, 33, 32,
            32, 32, 32, 33, 33, 34, 32, 32, 32, 32, 33, 34, 35, 35, 33, 33, 33, 33, 34, 35, 36, 36,
            38, 34, 34, 34, 33, 34, 35, 36, 37, 39, 39, 36, 35, 35, 34, 35, 36, 37, 38, 42, 42, 48,
            36, 35, 35, 34, 35, 36, 38, 38, 42, 43, 48, 49, 39, 38, 38, 37, 38, 39, 40, 40, 44, 45,
            50, 51, 54, 41, 39, 39, 38, 39, 40, 40, 41, 45, 46, 51, 52, 55, 56, 44, 42, 42, 41, 41,
            42, 42, 42, 46, 47, 54, 54, 58, 59, 63, 46, 44, 44, 42, 43, 44, 44, 44, 48, 49, 55, 55,
            59, 61, 65, 67, 48, 46, 46, 44, 45, 45, 45, 46, 50, 51, 57, 57, 61, 63, 67, 69, 71, 52,
            50, 49, 48, 48, 48, 48, 48, 52, 53, 59, 59, 64, 65, 70, 72, 74, 78, 54, 51, 51, 49, 49,
            50, 49, 49, 53, 54, 60, 60, 65, 67, 71, 74, 76, 80, 82, 58, 56, 55, 53, 53, 53, 53, 53,
            57, 58, 63, 64, 68, 70, 75, 77, 80, 84, 86, 91, 59, 56, 56, 54, 54, 54, 53, 53, 57, 58,
            64, 64, 69, 70, 75, 78, 80, 85, 87, 91, 92, 65, 62, 61, 59, 59, 59, 58, 58, 62, 63, 68,
            68, 73, 75, 79, 82, 85, 90, 92, 97, 98, 105, 66, 63, 63, 60, 60, 60, 59, 59, 63, 64,
            69, 69, 74, 76, 80, 83, 86, 91, 93, 98, 99, 106, 107, 71, 68, 67, 65, 65, 64, 63, 63,
            67, 68, 73, 73, 78, 80, 84, 87, 90, 95, 97, 103, 103, 111, 112, 117, 74, 71, 70, 68,
            67, 67, 66, 65, 69, 70, 75, 75, 80, 82, 86, 89, 93, 97, 100, 105, 106, 114, 115, 120,
            123, 80, 76, 75, 72, 72, 71, 70, 69, 73, 74, 79, 79, 84, 86, 90, 93, 96, 101, 104, 110,
            110, 118, 119, 125, 128, 134, 81, 77, 77, 74, 73, 73, 71, 71, 74, 75, 80, 80, 85, 87,
            91, 94, 98, 103, 105, 111, 112, 120, 121, 127, 130, 136, 137, 83, 78, 78, 75, 74, 74,
            72, 72, 75, 76, 81, 81, 86, 88, 92, 95, 99, 104, 106, 112, 113, 121, 122, 128, 131,
            137, 139, 140, 86, 82, 81, 78, 77, 77, 75, 74, 78, 79, 84, 84, 89, 91, 95, 98, 101,
            106, 109, 115, 116, 124, 125, 131, 135, 140, 142, 144, 147, 89, 84, 84, 80, 80, 79, 78,
            77, 79, 81, 85, 86, 91, 92, 97, 98, 104, 106, 112, 114, 119, 123, 128, 132, 135, 142,
            145, 148, 149, 153, 91, 86, 86, 82, 82, 81, 80, 79, 80, 84, 85, 88, 91, 94, 97, 100,
            104, 107, 112, 115, 120, 123, 129, 132, 138, 140, 148, 150, 153, 154, 159, 93, 88, 88,
            84, 84, 83, 83, 80, 81, 86, 86, 91, 91, 96, 97, 103, 103, 110, 110, 118, 119, 126, 126,
            135, 136, 144, 144, 155, 155, 159, 159, 164,
        ],
        [
            32, 31, 31, 31, 31, 31, 30, 31, 31, 32, 31, 32, 32, 33, 34, 33, 34, 35, 35, 37, 39, 35,
            37, 37, 38, 39, 41, 44, 36, 38, 39, 40, 41, 43, 46, 47, 40, 41, 41, 42, 43, 44, 46, 47,
            48, 41, 42, 42, 42, 43, 45, 46, 47, 48, 48, 49, 47, 47, 46, 46, 47, 47, 48, 50, 50, 53,
            49, 47, 47, 46, 46, 47, 47, 47, 49, 50, 53, 53, 48, 47, 47, 45, 46, 46, 46, 46, 49, 49,
            53, 53, 54, 48, 47, 46, 45, 45, 46, 46, 46, 49, 49, 53, 53, 54, 55, 49, 47, 46, 45, 45,
            45, 45, 45, 48, 49, 53, 54, 55, 56, 58, 50, 47, 47, 45, 46, 46, 46, 46, 49, 49, 54, 54,
            56, 57, 59, 60, 50, 48, 48, 46, 46, 46, 46, 46, 49, 50, 54, 54, 56, 57, 60, 60, 61, 52,
            49, 49, 47, 47, 47, 47, 46, 49, 50, 54, 54, 57, 58, 61, 62, 63, 65, 52, 50, 49, 47, 47,
            47, 47, 47, 49, 50, 54, 54, 57, 58, 61, 62, 63, 65, 66, 54, 52, 51, 49, 49, 49, 48, 48,
            51, 52, 55, 55, 58, 59, 62, 63, 65, 67, 68, 70, 54, 52, 51, 49, 49, 49, 48, 48, 51, 52,
            55, 56, 58, 60, 62, 64, 65, 67, 68, 70, 71, 57, 54, 54, 52, 51, 51, 50, 50, 52, 53, 56,
            57, 60, 61, 63, 65, 67, 69, 70, 73, 73, 76, 57, 55, 54, 52, 52, 51, 51, 50, 53, 53, 57,
            57, 60, 61, 64, 65, 67, 70, 71, 73, 74, 77, 77, 60, 57, 56, 54, 54, 53, 52, 52, 54, 55,
            58, 59, 61, 63, 65, 67, 68, 71, 72, 75, 75, 79, 79, 82, 61, 58, 57, 55, 55, 54, 53, 53,
            55, 56, 59, 59, 62, 63, 66, 68, 69, 72, 73, 76, 76, 80, 80, 83, 84, 63, 60, 59, 57, 57,
            56, 55, 54, 57, 57, 60, 61, 63, 65, 67, 69, 71, 73, 75, 78, 78, 82, 82, 85, 86, 89, 64,
            61, 60, 58, 57, 57, 56, 55, 57, 58, 61, 61, 64, 65, 68, 69, 71, 74, 75, 78, 78, 82, 83,
            86, 87, 89, 90, 65, 61, 61, 58, 58, 57, 56, 55, 58, 58, 61, 62, 64, 65, 68, 70, 71, 74,
            75, 78, 79, 83, 83, 86, 88, 90, 91, 91, 66, 63, 62, 60, 59, 58, 57, 56, 59, 59, 62, 63,
            65, 66, 69, 70, 72, 75, 76, 79, 80, 84, 84, 87, 89, 91, 92, 93, 94, 67, 64, 63, 61, 60,
            59, 58, 57, 59, 60, 62, 63, 66, 66, 70, 70, 73, 74, 77, 78, 81, 83, 85, 87, 89, 92, 93,
            94, 94, 96, 68, 64, 64, 61, 61, 60, 59, 58, 59, 61, 62, 64, 65, 67, 69, 71, 72, 74, 77,
            78, 81, 82, 85, 86, 89, 90, 94, 94, 96, 96, 98, 69, 65, 65, 62, 62, 61, 61, 58, 59, 62,
            62, 65, 65, 68, 68, 71, 71, 75, 75, 79, 79, 83, 83, 87, 87, 91, 91, 96, 96, 97, 97, 99,
        ],
    ],
    [
        [
            32, 31, 32, 31, 32, 32, 31, 32, 32, 32, 31, 32, 32, 32, 32, 31, 32, 32, 32, 32, 33, 31,
            32, 32, 32, 32, 33, 33, 32, 32, 32, 32, 32, 34, 34, 35, 32, 32, 32, 32, 32, 34, 34, 35,
            35, 34, 34, 34, 33, 33, 35, 35, 37, 37, 39, 34, 34, 34, 33, 33, 35, 35, 37, 37, 39, 39,
            36, 35, 35, 34, 34, 36, 36, 38, 38, 42, 42, 48, 36, 35, 35, 34, 34, 36, 36, 38, 38, 42,
            42, 48, 48, 39, 38, 38, 37, 37, 39, 39, 40, 40, 45, 45, 50, 50, 54, 39, 38, 38, 37, 37,
            39, 39, 40, 40, 45, 45, 50, 50, 54, 54, 44, 42, 42, 41, 41, 42, 42, 42, 42, 47, 47, 54,
            54, 58, 58, 63, 44, 42, 42, 41, 41, 42, 42, 42, 42, 47, 47, 54, 54, 58, 58, 63, 63, 48,
            46, 46, 44, 44, 45, 45, 46, 46, 51, 51, 57, 57, 61, 61, 67, 67, 71, 48, 46, 46, 44, 44,
            45, 45, 46, 46, 51, 51, 57, 57, 61, 61, 67, 67, 71, 71, 54, 51, 51, 49, 49, 50, 50, 49,
            49, 54, 54, 60, 60, 65, 65, 71, 71, 76, 76, 82, 54, 51, 51, 49, 49, 50, 50, 49, 49, 54,
            54, 60, 60, 65, 65, 71, 71, 76, 76, 82, 82, 59, 56, 56, 54, 54, 54, 54, 53, 53, 58, 58,
            64, 64, 69, 69, 75, 75, 80, 80, 87, 87, 92, 59, 56, 56, 54, 54, 54, 54, 53, 53, 58, 58,
            64, 64, 69, 69, 75, 75, 80, 80, 87, 87, 92, 92, 65, 62, 62, 59, 59, 59, 59, 58, 58, 63,
            63, 68, 68, 73, 73, 79, 79, 85, 85, 92, 92, 98, 98, 105, 65, 62, 62, 59, 59, 59, 59,
            58, 58, 63, 63, 68, 68, 73, 73, 79, 79, 85, 85, 92, 92, 98, 98, 105, 105, 71, 68, 68,
            65, 65, 64, 64, 63, 63, 68, 68, 73, 73, 78, 78, 84, 84, 90, 90, 97, 97, 103, 103, 111,
            111, 117, 71, 68, 68, 65, 65, 64, 64, 63, 63, 68, 68, 73, 73, 78, 78, 84, 84, 90, 90,
            97, 97, 103, 103, 111, 111, 117, 117, 80, 76, 76, 72, 72, 71, 71, 69, 69, 74, 74, 79,
            79, 84, 84, 90, 90, 96, 96, 104, 104, 110, 110, 118, 118, 125, 125, 134, 80, 76, 76,
            72, 72, 71, 71, 69, 69, 74, 74, 79, 79, 84, 84, 90, 90, 96, 96, 104, 104, 110, 110,
            118, 118, 125, 125, 134, 134, 83, 78, 78, 75, 75, 74, 74, 72, 72, 76, 76, 81, 81, 86,
            86, 92, 92, 99, 99, 106, 106, 113, 113, 121, 121, 128, 128, 137, 137, 140, 83, 78, 78,
            75, 75, 74, 74, 72, 72, 76, 76, 81, 81, 86, 86, 92, 92, 99, 99, 106, 106, 113, 113,
            121, 121, 128, 128, 137, 137, 140, 140, 87, 83, 83, 79, 79, 77, 77, 75, 75, 80, 80, 84,
            84, 90, 90, 96, 96, 102, 102, 109, 109, 116, 116, 124, 124, 132, 132, 141, 141, 144,
            144, 149,
        ],
        [
            32, 31, 31, 31, 31, 31, 30, 31, 31, 32, 30, 31, 31, 32, 32, 33, 34, 34, 35, 35, 39, 33,
            34, 34, 35, 35, 39, 39, 36, 38, 38, 40, 40, 43, 43, 47, 36, 38, 38, 40, 40, 43, 43, 47,
            47, 41, 42, 42, 42, 42, 45, 45, 47, 47, 48, 41, 42, 42, 42, 42, 45, 45, 47, 47, 48, 48,
            49, 47, 47, 46, 46, 47, 47, 48, 48, 50, 50, 53, 49, 47, 47, 46, 46, 47, 47, 48, 48, 50,
            50, 53, 53, 48, 47, 47, 45, 45, 46, 46, 46, 46, 49, 49, 53, 53, 54, 48, 47, 47, 45, 45,
            46, 46, 46, 46, 49, 49, 53, 53, 54, 54, 49, 47, 47, 45, 45, 45, 45, 45, 45, 49, 49, 53,
            53, 55, 55, 58, 49, 47, 47, 45, 45, 45, 45, 45, 45, 49, 49, 53, 53, 55, 55, 58, 58, 50,
            48, 48, 46, 46, 46, 46, 46, 46, 50, 50, 54, 54, 56, 56, 60, 60, 61, 50, 48, 48, 46, 46,
            46, 46, 46, 46, 50, 50, 54, 54, 56, 56, 60, 60, 61, 61, 52, 50, 50, 47, 47, 47, 47, 47,
            47, 50, 50, 54, 54, 57, 57, 61, 61, 63, 63, 66, 52, 50, 50, 47, 47, 47, 47, 47, 47, 50,
            50, 54, 54, 57, 57, 61, 61, 63, 63, 66, 66, 54, 52, 52, 49, 49, 49, 49, 48, 48, 52, 52,
            55, 55, 58, 58, 62, 62, 65, 65, 68, 68, 71, 54, 52, 52, 49, 49, 49, 49, 48, 48, 52, 52,
            55, 55, 58, 58, 62, 62, 65, 65, 68, 68, 71, 71, 57, 54, 54, 52, 52, 51, 51, 50, 50, 53,
            53, 56, 56, 60, 60, 63, 63, 67, 67, 70, 70, 73, 73, 76, 57, 54, 54, 52, 52, 51, 51, 50,
            50, 53, 53, 56, 56, 60, 60, 63, 63, 67, 67, 70, 70, 73, 73, 76, 76, 60, 57, 57, 54, 54,
            53, 53, 52, 52, 55, 55, 58, 58, 61, 61, 65, 65, 68, 68, 72, 72, 75, 75, 79, 79, 82, 60,
            57, 57, 54, 54, 53, 53, 52, 52, 55, 55, 58, 58, 61, 61, 65, 65, 68, 68, 72, 72, 75, 75,
            79, 79, 82, 82, 63, 60, 60, 57, 57, 56, 56, 54, 54, 57, 57, 60, 60, 63, 63, 67, 67, 71,
            71, 75, 75, 78, 78, 82, 82, 85, 85, 89, 63, 60, 60, 57, 57, 56, 56, 54, 54, 57, 57, 60,
            60, 63, 63, 67, 67, 71, 71, 75, 75, 78, 78, 82, 82, 85, 85, 89, 89, 65, 61, 61, 58, 58,
            57, 57, 55, 55, 58, 58, 61, 61, 64, 64, 68, 68, 71, 71, 75, 75, 79, 79, 83, 83, 86, 86,
            90, 90, 91, 65, 61, 61, 58, 58, 57, 57, 55, 55, 58, 58, 61, 61, 64, 64, 68, 68, 71, 71,
            75, 75, 79, 79, 83, 83, 86, 86, 90, 90, 91, 91, 67, 63, 63, 60, 60, 59, 59, 57, 57, 60,
            60, 62, 62, 66, 66, 69, 69, 72, 72, 76, 76, 80, 80, 84, 84, 88, 88, 92, 92, 93, 93, 95,
        ],
    ],
    [
        [
            32, 31, 31, 31, 32, 32, 31, 32, 32, 32, 31, 32, 32, 32, 32, 31, 32, 32, 32, 32, 32, 31,
            32, 32, 32, 32, 33, 33, 32, 32, 32, 32, 32, 33, 33, 34, 32, 32, 32, 32, 32, 33, 34, 34,
            35, 32, 32, 32, 32, 33, 33, 34, 34, 35, 35, 34, 34, 34, 33, 33, 34, 35, 35, 37, 37, 39,
            34, 34, 34, 33, 33, 34, 35, 35, 37, 37, 39, 39, 35, 35, 35, 34, 34, 35, 36, 36, 38, 38,
            42, 42, 46, 36, 35, 35, 34, 34, 35, 36, 37, 38, 38, 42, 42, 47, 48, 38, 37, 37, 36, 36,
            37, 38, 38, 39, 40, 44, 44, 48, 50, 51, 39, 38, 38, 38, 37, 38, 39, 39, 40, 41, 45, 45,
            49, 50, 52, 54, 41, 40, 40, 39, 38, 39, 40, 40, 41, 41, 46, 46, 50, 52, 54, 55, 57, 44,
            42, 42, 41, 41, 41, 42, 42, 42, 43, 47, 47, 52, 54, 56, 58, 60, 63, 45, 43, 43, 42, 41,
            42, 42, 43, 43, 43, 48, 48, 53, 54, 57, 58, 60, 64, 65, 48, 46, 46, 45, 44, 45, 45, 45,
            46, 46, 51, 51, 55, 57, 59, 61, 63, 67, 68, 71, 48, 46, 46, 45, 44, 45, 45, 45, 46, 46,
            51, 51, 55, 57, 59, 61, 63, 67, 68, 71, 71, 53, 51, 51, 49, 49, 49, 49, 49, 49, 49, 54,
            54, 58, 59, 62, 64, 67, 71, 72, 75, 75, 81, 54, 52, 51, 50, 49, 49, 50, 49, 49, 50, 54,
            54, 59, 60, 63, 65, 67, 71, 72, 76, 76, 81, 82, 57, 55, 55, 53, 52, 52, 52, 52, 52, 52,
            57, 57, 61, 62, 65, 67, 70, 74, 75, 79, 79, 85, 85, 89, 59, 56, 56, 54, 54, 54, 54, 54,
            53, 54, 58, 58, 62, 64, 67, 69, 71, 75, 76, 80, 80, 86, 87, 90, 92, 62, 59, 59, 57, 56,
            56, 56, 56, 55, 56, 60, 60, 64, 66, 69, 71, 73, 77, 78, 83, 83, 89, 89, 93, 95, 98, 65,
            62, 62, 60, 59, 59, 59, 59, 58, 58, 63, 63, 67, 68, 71, 73, 75, 79, 81, 85, 85, 91, 92,
            96, 98, 101, 105, 67, 64, 64, 62, 61, 61, 60, 60, 59, 60, 64, 64, 68, 69, 72, 74, 77,
            81, 82, 87, 87, 93, 94, 98, 99, 103, 106, 108, 71, 68, 68, 66, 65, 64, 64, 64, 63, 63,
            68, 68, 72, 73, 76, 78, 80, 84, 85, 90, 90, 97, 97, 102, 103, 107, 111, 113, 117, 72,
            69, 69, 66, 65, 65, 65, 64, 63, 64, 68, 68, 72, 73, 76, 78, 81, 85, 86, 91, 91, 97, 98,
            102, 104, 108, 111, 113, 118, 119, 80, 76, 76, 73, 72, 72, 71, 70, 69, 70, 74, 74, 78,
            79, 82, 84, 86, 90, 91, 96, 96, 103, 104, 108, 110, 114, 118, 120, 125, 126, 134, 80,
            76, 76, 73, 72, 72, 71, 70, 69, 70, 74, 74, 78, 79, 82, 84, 86, 90, 91, 96, 96, 103,
            104, 108, 110, 114, 118, 120, 125, 126, 134, 134,
        ],
        [
            32, 31, 31, 31, 31, 31, 30, 31, 31, 31, 30, 31, 31, 31, 32, 32, 32, 33, 33, 33, 35, 33,
            34, 34, 35, 35, 37, 39, 34, 35, 35, 36, 36, 38, 40, 41, 36, 38, 38, 39, 40, 41, 43, 44,
            47, 37, 38, 39, 40, 40, 42, 43, 44, 47, 47, 41, 42, 42, 42, 42, 43, 45, 45, 47, 47, 48,
            41, 42, 42, 42, 42, 43, 45, 45, 47, 47, 48, 48, 47, 46, 46, 46, 45, 46, 47, 47, 47, 48,
            50, 50, 52, 49, 48, 47, 47, 46, 47, 47, 47, 48, 48, 50, 50, 52, 53, 49, 47, 47, 46, 46,
            46, 46, 47, 47, 47, 50, 50, 52, 53, 53, 48, 47, 47, 46, 45, 46, 46, 46, 46, 47, 49, 49,
            52, 53, 54, 54, 49, 47, 47, 46, 45, 45, 46, 46, 46, 46, 49, 49, 52, 53, 54, 55, 55, 49,
            47, 47, 45, 45, 45, 45, 45, 45, 45, 49, 49, 52, 53, 55, 55, 57, 58, 49, 47, 47, 46, 45,
            45, 45, 45, 45, 46, 49, 49, 52, 53, 55, 56, 57, 59, 59, 50, 48, 48, 47, 46, 46, 46, 46,
            46, 46, 50, 50, 53, 54, 55, 56, 58, 60, 60, 61, 50, 48, 48, 47, 46, 46, 46, 46, 46, 46,
            50, 50, 53, 54, 55, 56, 58, 60, 60, 61, 61, 52, 50, 49, 48, 47, 47, 47, 47, 46, 47, 50,
            50, 53, 54, 56, 57, 59, 61, 61, 63, 63, 66, 52, 50, 50, 48, 47, 47, 47, 47, 47, 47, 50,
            50, 53, 54, 56, 57, 59, 61, 61, 63, 63, 66, 66, 54, 51, 51, 50, 49, 49, 49, 48, 48, 48,
            51, 51, 54, 55, 57, 58, 60, 62, 62, 65, 65, 67, 68, 69, 54, 52, 52, 50, 49, 49, 49, 49,
            48, 48, 52, 52, 55, 55, 57, 58, 60, 62, 63, 65, 65, 68, 68, 70, 71, 56, 53, 53, 51, 51,
            50, 50, 50, 49, 49, 52, 52, 55, 56, 58, 59, 61, 63, 63, 66, 66, 69, 69, 71, 72, 73, 57,
            54, 54, 52, 52, 51, 51, 51, 50, 50, 53, 53, 56, 56, 58, 60, 61, 63, 64, 67, 67, 70, 70,
            72, 73, 75, 76, 58, 55, 55, 53, 52, 52, 52, 51, 50, 51, 54, 54, 56, 57, 59, 60, 62, 64,
            65, 67, 67, 71, 71, 73, 74, 75, 77, 78, 60, 57, 57, 55, 54, 54, 53, 53, 52, 52, 55, 55,
            58, 58, 60, 61, 63, 65, 66, 68, 68, 72, 72, 74, 75, 77, 79, 80, 82, 60, 57, 57, 55, 54,
            54, 54, 53, 52, 52, 55, 55, 58, 58, 60, 62, 63, 65, 66, 69, 69, 72, 73, 75, 76, 77, 79,
            80, 82, 82, 63, 60, 60, 58, 57, 57, 56, 55, 54, 55, 57, 57, 60, 60, 62, 63, 65, 67, 68,
            71, 71, 74, 75, 77, 78, 80, 82, 83, 85, 85, 89, 63, 60, 60, 58, 57, 57, 56, 55, 54, 55,
            57, 57, 60, 60, 62, 63, 65, 67, 68, 71, 71, 74, 75, 77, 78, 80, 82, 83, 85, 85, 89, 89,
        ],
    ],
    [
        [
            32, 31, 31, 31, 31, 32, 31, 32, 32, 32, 31, 32, 32, 32, 32, 31, 32, 32, 32, 32, 32, 31,
            32, 32, 32, 32, 32, 33, 31, 32, 32, 32, 32, 32, 33, 33, 32, 32, 32, 32, 32, 32, 33, 33,
            34, 32, 32, 32, 32, 32, 32, 33, 34, 34, 35, 32, 32, 32, 32, 32, 32, 33, 34, 34, 35, 35,
            33, 33, 33, 33, 33, 33, 34, 35, 35, 36, 36, 38, 34, 34, 34, 34, 33, 33, 35, 35, 36, 37,
            37, 39, 39, 34, 34, 34, 34, 34, 34, 35, 36, 36, 37, 37, 40, 41, 42, 36, 35, 35, 35, 34,
            34, 36, 36, 37, 38, 38, 42, 42, 45, 48, 36, 35, 35, 35, 34, 34, 36, 36, 37, 38, 38, 42,
            42, 45, 48, 48, 38, 38, 38, 37, 37, 37, 38, 38, 39, 40, 40, 43, 44, 46, 50, 50, 52, 39,
            38, 38, 38, 37, 37, 39, 39, 39, 40, 40, 44, 45, 47, 50, 50, 53, 54, 41, 40, 40, 39, 38,
            38, 40, 40, 40, 41, 41, 45, 46, 48, 52, 52, 54, 55, 57, 44, 42, 42, 42, 41, 41, 42, 42,
            42, 42, 42, 46, 47, 50, 54, 54, 57, 58, 60, 63, 44, 42, 42, 42, 41, 41, 42, 42, 42, 42,
            42, 46, 47, 50, 54, 54, 57, 58, 60, 63, 63, 47, 46, 45, 45, 44, 44, 44, 45, 45, 45, 45,
            49, 50, 52, 56, 56, 59, 60, 62, 66, 66, 69, 48, 47, 46, 45, 44, 44, 45, 45, 45, 46, 46,
            50, 51, 53, 57, 57, 60, 61, 63, 67, 67, 70, 71, 50, 49, 48, 47, 46, 46, 47, 47, 47, 47,
            47, 51, 52, 54, 58, 58, 61, 62, 65, 68, 68, 72, 73, 75, 54, 52, 51, 50, 49, 49, 49, 50,
            49, 49, 49, 53, 54, 56, 60, 60, 64, 65, 67, 71, 71, 75, 76, 78, 82, 54, 52, 51, 50, 49,
            49, 49, 50, 49, 49, 49, 53, 54, 56, 60, 60, 64, 65, 67, 71, 71, 75, 76, 78, 82, 82, 58,
            56, 55, 54, 53, 53, 53, 53, 53, 52, 52, 56, 57, 59, 63, 63, 67, 68, 70, 74, 74, 78, 79,
            82, 86, 86, 90, 59, 57, 56, 55, 54, 54, 54, 54, 54, 53, 53, 57, 58, 60, 64, 64, 68, 69,
            71, 75, 75, 79, 80, 83, 87, 87, 91, 92, 61, 59, 58, 57, 56, 56, 56, 56, 55, 55, 55, 59,
            60, 62, 65, 65, 69, 70, 73, 77, 77, 81, 82, 85, 89, 89, 93, 94, 97, 65, 63, 62, 61, 59,
            59, 59, 59, 59, 58, 58, 62, 63, 65, 68, 68, 72, 73, 75, 79, 79, 84, 85, 88, 92, 92, 97,
            98, 101, 105, 65, 63, 62, 61, 59, 59, 59, 59, 59, 58, 58, 62, 63, 65, 68, 68, 72, 73,
            75, 79, 79, 84, 85, 88, 92, 92, 97, 98, 101, 105, 105, 70, 67, 67, 65, 64, 64, 63, 63,
            63, 62, 62, 66, 67, 69, 72, 72, 76, 77, 79, 83, 83, 88, 89, 92, 96, 96, 101, 102, 105,
            109, 109, 114,
        ],
        [
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            33, 34, 34, 34, 34, 37, 33, 34, 34, 35, 35, 35, 38, 39, 34, 36, 36, 36, 37, 37, 40, 40,
            42, 36, 38, 38, 39, 40, 40, 42, 43, 45, 47, 36, 38, 38, 39, 40, 40, 42, 43, 45, 47, 47,
            40, 41, 41, 41, 42, 42, 44, 44, 45, 47, 47, 48, 41, 42, 42, 42, 42, 42, 44, 45, 46, 47,
            47, 48, 48, 44, 44, 44, 44, 44, 44, 45, 46, 46, 47, 47, 49, 49, 50, 49, 48, 47, 47, 46,
            46, 47, 47, 47, 48, 48, 50, 50, 51, 53, 49, 48, 47, 47, 46, 46, 47, 47, 47, 48, 48, 50,
            50, 51, 53, 53, 48, 47, 47, 46, 45, 45, 46, 46, 46, 47, 47, 49, 50, 51, 53, 53, 54, 48,
            47, 47, 46, 45, 45, 46, 46, 46, 46, 46, 49, 49, 51, 53, 53, 54, 54, 49, 47, 47, 46, 45,
            45, 46, 46, 46, 46, 46, 49, 49, 51, 53, 53, 54, 55, 55, 49, 47, 47, 46, 45, 45, 45, 45,
            45, 45, 45, 48, 49, 51, 53, 53, 55, 55, 57, 58, 49, 47, 47, 46, 45, 45, 45, 45, 45, 45,
            45, 48, 49, 51, 53, 53, 55, 55, 57, 58, 58, 50, 48, 48, 47, 46, 46, 46, 46, 46, 46, 46,
            49, 50, 51, 54, 54, 56, 56, 57, 59, 59, 61, 50, 49, 48, 47, 46, 46, 46, 46, 46, 46, 46,
            49, 50, 51, 54, 54, 56, 56, 58, 60, 60, 61, 61, 51, 49, 49, 48, 47, 47, 47, 47, 47, 46,
            46, 49, 50, 51, 54, 54, 56, 57, 58, 60, 60, 62, 62, 63, 52, 50, 50, 49, 47, 47, 47, 47,
            47, 47, 47, 49, 50, 52, 54, 54, 57, 57, 59, 61, 61, 63, 63, 65, 66, 52, 50, 50, 49, 47,
            47, 47, 47, 47, 47, 47, 49, 50, 52, 54, 54, 57, 57, 59, 61, 61, 63, 63, 65, 66, 66, 54,
            52, 51, 50, 49, 49, 49, 49, 48, 48, 48, 51, 51, 53, 55, 55, 58, 58, 60, 62, 62, 64, 65,
            66, 68, 68, 70, 54, 52, 52, 51, 49, 49, 49, 49, 49, 48, 48, 51, 52, 53, 55, 55, 58, 58,
            60, 62, 62, 64, 65, 66, 68, 68, 70, 71, 55, 53, 53, 52, 50, 50, 50, 50, 49, 49, 49, 51,
            52, 54, 56, 56, 58, 59, 60, 63, 63, 65, 66, 67, 69, 69, 71, 72, 73, 57, 55, 54, 53, 52,
            52, 51, 51, 50, 50, 50, 52, 53, 54, 56, 56, 59, 60, 61, 63, 63, 66, 67, 68, 70, 70, 73,
            73, 74, 76, 57, 55, 54, 53, 52, 52, 51, 51, 50, 50, 50, 52, 53, 54, 56, 56, 59, 60, 61,
            63, 63, 66, 67, 68, 70, 70, 73, 73, 74, 76, 76, 59, 57, 56, 55, 54, 54, 53, 53, 52, 51,
            51, 54, 55, 56, 58, 58, 60, 61, 63, 65, 65, 67, 68, 70, 72, 72, 74, 75, 76, 78, 78, 80,
        ],
    ],
    [
        [
            32, 31, 31, 31, 31, 32, 31, 31, 32, 32, 31, 32, 32, 32, 32, 31, 32, 32, 32, 32, 32, 31,
            32, 32, 32, 32, 32, 32, 31, 32, 32, 32, 32, 32, 32, 33, 31, 32, 32, 32, 32, 32, 32, 33,
            33, 32, 32, 32, 32, 32, 32, 33, 33, 33, 34, 32, 32, 32, 32, 32, 32, 33, 34, 34, 34, 35,
            32, 32, 32, 32, 32, 32, 33, 34, 34, 34, 35, 35, 32, 33, 33, 33, 33, 33, 33, 34, 34, 35,
            36, 36, 36, 34, 34, 34, 34, 33, 33, 34, 35, 35, 35, 37, 37, 38, 39, 34, 34, 34, 34, 33,
            33, 34, 35, 35, 35, 37, 37, 38, 39, 39, 35, 34, 34, 34, 34, 34, 34, 35, 36, 36, 37, 37,
            39, 41, 41, 43, 36, 35, 35, 35, 34, 34, 35, 36, 36, 37, 38, 38, 40, 42, 42, 45, 48, 36,
            35, 35, 35, 34, 34, 35, 36, 36, 37, 38, 38, 40, 42, 42, 45, 48, 48, 38, 37, 37, 37, 36,
            36, 36, 38, 38, 38, 39, 39, 41, 44, 44, 47, 50, 50, 51, 39, 39, 38, 38, 37, 37, 38, 39,
            39, 39, 40, 40, 42, 45, 45, 47, 50, 50, 52, 54, 39, 39, 38, 38, 37, 37, 38, 39, 39, 39,
            40, 40, 42, 45, 45, 47, 50, 50, 52, 54, 54, 42, 41, 41, 41, 40, 40, 40, 41, 41, 41, 42,
            42, 44, 47, 47, 49, 53, 53, 55, 56, 56, 60, 44, 43, 42, 42, 41, 41, 41, 42, 42, 42, 42,
            42, 44, 47, 47, 50, 54, 54, 56, 58, 58, 61, 63, 44, 43, 43, 42, 41, 41, 41, 42, 42, 42,
            43, 43, 45, 48, 48, 51, 54, 54, 56, 58, 58, 62, 64, 64, 47, 46, 45, 45, 44, 44, 44, 44,
            45, 45, 45, 45, 47, 50, 50, 53, 56, 56, 58, 60, 60, 64, 66, 66, 69, 48, 47, 46, 46, 45,
            44, 45, 45, 45, 45, 46, 46, 47, 51, 51, 53, 57, 57, 59, 61, 61, 65, 67, 67, 70, 71, 49,
            48, 47, 47, 46, 45, 45, 46, 46, 46, 46, 46, 48, 51, 51, 54, 57, 57, 60, 62, 62, 66, 68,
            68, 71, 72, 73, 53, 51, 51, 51, 49, 49, 49, 49, 49, 49, 49, 49, 51, 54, 54, 57, 59, 59,
            62, 64, 64, 69, 71, 71, 74, 75, 77, 81, 54, 52, 51, 51, 50, 49, 49, 50, 50, 49, 49, 49,
            51, 54, 54, 57, 60, 60, 63, 65, 65, 69, 71, 72, 75, 76, 77, 81, 82, 55, 53, 53, 52, 51,
            50, 50, 51, 51, 51, 50, 50, 52, 55, 55, 58, 61, 61, 64, 66, 66, 70, 72, 73, 76, 77, 78,
            83, 83, 85, 59, 57, 56, 56, 54, 54, 54, 54, 54, 54, 53, 53, 55, 58, 58, 61, 64, 64, 67,
            69, 69, 73, 75, 76, 79, 80, 81, 86, 87, 88, 92, 59, 57, 56, 56, 54, 54, 54, 54, 54, 54,
            53, 53, 55, 58, 58, 61, 64, 64, 67, 69, 69, 73, 75, 76, 79, 80, 81, 86, 87, 88, 92, 92,
        ],
        [
            32, 31, 31, 31, 31, 31, 31, 31, 31, 31, 30, 31, 31, 31, 31, 30, 31, 31, 31, 31, 32, 31,
            31, 32, 32, 32, 32, 33, 33, 34, 34, 34, 35, 35, 35, 38, 33, 34, 34, 34, 35, 35, 36, 38,
            39, 34, 35, 35, 36, 36, 36, 37, 40, 40, 41, 36, 38, 38, 38, 39, 40, 40, 43, 43, 44, 47,
            36, 38, 38, 38, 39, 40, 40, 43, 43, 44, 47, 47, 38, 39, 40, 40, 41, 41, 41, 43, 44, 45,
            47, 47, 47, 41, 42, 42, 42, 42, 42, 43, 44, 45, 45, 47, 47, 48, 48, 41, 42, 42, 42, 42,
            42, 43, 44, 45, 45, 47, 47, 48, 48, 48, 45, 45, 45, 45, 44, 44, 44, 46, 46, 46, 47, 47,
            48, 49, 49, 50, 49, 48, 47, 47, 46, 46, 46, 47, 47, 47, 48, 48, 49, 50, 50, 51, 53, 49,
            48, 47, 47, 46, 46, 46, 47, 47, 47, 48, 48, 49, 50, 50, 51, 53, 53, 49, 47, 47, 47, 46,
            46, 46, 46, 46, 47, 47, 47, 48, 50, 50, 51, 53, 53, 53, 48, 47, 47, 47, 46, 45, 45, 46,
            46, 46, 46, 46, 48, 49, 49, 51, 53, 53, 54, 54, 48, 47, 47, 47, 46, 45, 45, 46, 46, 46,
            46, 46, 48, 49, 49, 51, 53, 53, 54, 54, 54, 49, 47, 47, 47, 45, 45, 45, 45, 45, 45, 45,
            45, 47, 49, 49, 51, 53, 53, 54, 55, 55, 57, 49, 47, 47, 46, 45, 45, 45, 45, 45, 45, 45,
            45, 47, 49, 49, 51, 53, 53, 55, 55, 55, 57, 58, 49, 47, 47, 47, 45, 45, 45, 45, 45, 45,
            45, 45, 47, 49, 49, 51, 53, 53, 55, 56, 56, 58, 58, 59, 50, 49, 48, 48, 46, 46, 46, 46,
            46, 46, 46, 46, 47, 50, 50, 52, 54, 54, 55, 56, 56, 58, 59, 59, 61, 50, 49, 48, 48, 47,
            46, 46, 46, 46, 46, 46, 46, 47, 50, 50, 52, 54, 54, 55, 56, 56, 59, 60, 60, 61, 61, 51,
            49, 48, 48, 47, 46, 46, 47, 47, 46, 46, 46, 47, 50, 50, 52, 54, 54, 55, 56, 56, 59, 60,
            60, 61, 62, 62, 52, 50, 49, 49, 48, 47, 47, 47, 47, 47, 46, 46, 48, 50, 50, 52, 54, 54,
            56, 57, 57, 60, 61, 61, 63, 63, 64, 66, 52, 50, 50, 49, 48, 47, 47, 47, 47, 47, 47, 47,
            48, 50, 50, 52, 54, 54, 56, 57, 57, 60, 61, 61, 63, 63, 64, 66, 66, 53, 51, 50, 50, 48,
            48, 48, 48, 48, 48, 47, 47, 48, 51, 51, 52, 54, 54, 56, 58, 58, 60, 61, 62, 63, 64, 64,
            67, 67, 68, 54, 53, 52, 52, 50, 49, 49, 49, 49, 49, 48, 48, 49, 52, 52, 53, 55, 55, 57,
            58, 58, 61, 62, 63, 64, 65, 66, 68, 68, 69, 71, 54, 53, 52, 52, 50, 49, 49, 49, 49, 49,
            48, 48, 49, 52, 52, 53, 55, 55, 57, 58, 58, 61, 62, 63, 64, 65, 66, 68, 68, 69, 71, 71,
        ],
    ],
    [
        [
            32, 31, 31, 31, 31, 32, 31, 31, 32, 32, 31, 31, 32, 32, 32, 31, 31, 32, 32, 32, 32, 31,
            31, 32, 32, 32, 32, 32, 31, 32, 32, 32, 32, 32, 32, 32, 31, 32, 32, 32, 32, 32, 32, 32,
            33, 31, 32, 32, 32, 32, 32, 32, 32, 33, 33, 31, 32, 32, 32, 32, 32, 32, 32, 33, 33, 33,
            32, 32, 32, 32, 32, 32, 32, 33, 33, 33, 33, 34, 32, 32, 32, 32, 32, 32, 32, 33, 33, 34,
            34, 35, 35, 32, 32, 32, 32, 32, 32, 32, 33, 33, 34, 34, 35, 35, 35, 32, 33, 33, 33, 33,
            33, 33, 33, 34, 34, 34, 35, 36, 36, 36, 34, 34, 34, 34, 34, 33, 33, 34, 35, 35, 35, 36,
            37, 37, 38, 39, 34, 34, 34, 34, 34, 33, 33, 34, 35, 35, 35, 36, 37, 37, 38, 39, 39, 34,
            34, 34, 34, 34, 34, 34, 34, 35, 35, 35, 36, 37, 37, 38, 40, 40, 41, 35, 35, 35, 35, 34,
            34, 34, 34, 36, 36, 36, 37, 38, 38, 39, 42, 42, 43, 46, 36, 35, 35, 35, 35, 34, 34, 35,
            36, 36, 36, 37, 38, 38, 40, 42, 42, 44, 47, 48, 36, 35, 35, 35, 35, 34, 34, 35, 36, 36,
            36, 37, 38, 38, 40, 42, 42, 44, 47, 48, 48, 38, 37, 37, 37, 36, 36, 36, 36, 37, 38, 38,
            39, 39, 39, 41, 44, 44, 45, 48, 50, 50, 51, 39, 39, 38, 38, 38, 37, 37, 38, 39, 39, 39,
            40, 40, 40, 42, 45, 45, 46, 49, 50, 50, 52, 54, 39, 39, 38, 38, 38, 37, 37, 38, 39, 39,
            39, 40, 40, 40, 42, 45, 45, 46, 49, 50, 50, 52, 54, 54, 41, 40, 40, 40, 39, 38, 38, 39,
            40, 40, 40, 41, 41, 41, 43, 46, 46, 47, 50, 52, 52, 54, 55, 55, 57, 44, 43, 42, 42, 42,
            41, 41, 41, 42, 42, 42, 42, 42, 42, 44, 47, 47, 49, 52, 54, 54, 56, 58, 58, 60, 63, 44,
            43, 42, 42, 42, 41, 41, 41, 42, 42, 42, 42, 42, 42, 44, 47, 47, 49, 52, 54, 54, 56, 58,
            58, 60, 63, 63, 45, 44, 43, 43, 42, 41, 41, 42, 42, 42, 42, 43, 43, 43, 45, 48, 48, 49,
            53, 54, 54, 57, 58, 58, 60, 64, 64, 65, 47, 46, 45, 45, 45, 44, 44, 44, 44, 45, 45, 45,
            45, 45, 47, 50, 50, 51, 55, 56, 56, 58, 60, 60, 62, 66, 66, 67, 69, 48, 47, 46, 46, 45,
            44, 44, 45, 45, 45, 45, 45, 46, 46, 47, 51, 51, 52, 55, 57, 57, 59, 61, 61, 63, 67, 67,
            68, 70, 71, 48, 47, 46, 46, 45, 44, 44, 45, 45, 45, 45, 45, 46, 46, 47, 51, 51, 52, 55,
            57, 57, 59, 61, 61, 63, 67, 67, 68, 70, 71, 71, 51, 50, 49, 49, 48, 47, 47, 47, 48, 48,
            48, 48, 48, 48, 50, 53, 53, 54, 57, 58, 58, 61, 63, 63, 66, 69, 69, 70, 73, 74, 74, 77,
        ],
        [
            32, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 30, 31, 31, 31, 31, 32, 30,
            31, 31, 31, 31, 32, 32, 31, 31, 32, 32, 32, 32, 32, 33, 33, 33, 34, 34, 34, 34, 34, 35,
            37, 33, 34, 34, 34, 35, 35, 35, 36, 38, 39, 33, 34, 34, 34, 35, 35, 35, 36, 38, 39, 39,
            35, 36, 37, 37, 37, 38, 38, 38, 41, 41, 41, 44, 36, 37, 38, 38, 39, 40, 40, 40, 42, 43,
            43, 46, 47, 36, 37, 38, 38, 39, 40, 40, 40, 42, 43, 43, 46, 47, 47, 38, 39, 40, 40, 40,
            41, 41, 41, 43, 44, 44, 46, 47, 47, 47, 41, 42, 42, 42, 42, 42, 42, 43, 44, 45, 45, 46,
            47, 47, 48, 48, 41, 42, 42, 42, 42, 42, 42, 43, 44, 45, 45, 46, 47, 47, 48, 48, 48, 43,
            43, 43, 43, 43, 43, 43, 43, 45, 45, 45, 46, 47, 47, 48, 49, 49, 49, 47, 47, 46, 46, 46,
            45, 45, 46, 46, 47, 47, 47, 47, 47, 48, 50, 50, 50, 52, 49, 48, 47, 47, 47, 46, 46, 46,
            47, 47, 47, 47, 48, 48, 49, 50, 50, 51, 52, 53, 49, 48, 47, 47, 47, 46, 46, 46, 47, 47,
            47, 47, 48, 48, 49, 50, 50, 51, 52, 53, 53, 49, 48, 47, 47, 46, 46, 46, 46, 46, 46, 46,
            47, 47, 47, 48, 50, 50, 50, 52, 53, 53, 53, 48, 47, 47, 47, 46, 45, 45, 45, 46, 46, 46,
            46, 46, 46, 48, 49, 49, 50, 52, 53, 53, 54, 54, 48, 47, 47, 47, 46, 45, 45, 45, 46, 46,
            46, 46, 46, 46, 48, 49, 49, 50, 52, 53, 53, 54, 54, 54, 49, 47, 47, 47, 46, 45, 45, 45,
            46, 46, 46, 46, 46, 46, 47, 49, 49, 50, 52, 53, 53, 54, 55, 55, 55, 49, 47, 47, 47, 46,
            45, 45, 45, 45, 45, 45, 45, 45, 45, 47, 49, 49, 50, 52, 53, 53, 55, 55, 55, 57, 58, 49,
            47, 47, 47, 46, 45, 45, 45, 45, 45, 45, 45, 45, 45, 47, 49, 49, 50, 52, 53, 53, 55, 55,
            55, 57, 58, 58, 49, 48, 47, 47, 46, 45, 45, 45, 45, 45, 45, 45, 45, 45, 47, 49, 49, 50,
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            32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 33, 33, 33, 33, 33,
            33, 33, 33, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32,
            32, 32, 32, 33, 33, 33, 33, 33, 33, 33, 33, 33, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32,
            32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33,
        ],
        [
            32, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31,
            31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31,
            31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31,
            31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31,
            31, 31, 31, 30, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 30, 30, 31, 31, 31,
            31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 30, 30, 30, 31, 31, 31, 31, 31, 31, 31, 31, 31,
            31, 31, 31, 32, 30, 30, 30, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 32, 32, 30,
            30, 30, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 32, 32, 32, 30, 30, 30, 31, 31,
            31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 32, 32, 32, 32, 30, 30, 30, 31, 31, 31, 31, 31,
            31, 31, 31, 31, 31, 31, 31, 32, 32, 32, 32, 32, 30, 30, 30, 31, 31, 31, 31, 31, 31, 31,
            31, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 31, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32,
            32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 33, 31, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32,
            32, 33, 33, 33, 33, 33, 33, 33, 33, 33, 34, 34, 32, 32, 32, 33, 33, 33, 33, 33, 33, 33,
            33, 33, 33, 33, 34, 34, 34, 34, 34, 34, 34, 34, 35, 36, 33, 33, 33, 33, 33, 34, 34, 34,
            34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 35, 36, 37, 37, 33, 33, 34, 34, 34,
            34, 34, 34, 34, 34, 34, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 36, 37, 37, 38, 39, 33,
            33, 34, 34, 34, 34, 34, 34, 34, 34, 34, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 36, 37,
            37, 38, 39, 39, 33, 33, 34, 34, 34, 34, 34, 34, 34, 34, 34, 35, 35, 35, 35, 35, 35, 35,
            35, 35, 35, 36, 37, 37, 38, 39, 39, 39, 33, 33, 34, 34, 34, 34, 34, 34, 34, 34, 34, 35,
            35, 35, 35, 35, 35, 35, 35, 35, 35, 36, 37, 37, 38, 39, 39, 39, 39, 33, 33, 34, 34, 34,
            34, 34, 34, 34, 34, 34, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 36, 37, 37, 38, 39, 39,
            39, 39, 39, 33, 33, 34, 34, 34, 34, 34, 34, 34, 34, 34, 35, 35, 35, 35, 35, 35, 35, 35,
            35, 35, 36, 37, 37, 38, 39, 39, 39, 39, 39, 39, 34, 34, 34, 35, 35, 35, 35, 35, 35, 35,
            35, 35, 35, 36, 36, 36, 36, 36, 36, 36, 36, 37, 37, 38, 39, 40, 40, 40, 40, 40, 40, 40,
        ],
    ],
    [
        [
            32, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31,
            31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31,
            31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 32, 32,
            31, 31, 31, 31, 31, 31, 31, 31, 31, 32, 32, 32, 31, 31, 31, 31, 31, 31, 31, 31, 31, 32,
            32, 32, 32, 31, 31, 31, 31, 31, 31, 31, 31, 31, 32, 32, 32, 32, 32, 31, 31, 31, 31, 31,
            31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 31, 31, 31, 31, 31, 31, 31, 31, 31, 32, 32, 32,
            32, 32, 32, 32, 31, 31, 31, 31, 31, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 32, 31,
            31, 31, 31, 31, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 31, 31, 31, 31, 31,
            31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 31, 31, 31, 31, 31, 31, 31, 31,
            31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 31, 31, 31, 31, 31, 31, 31, 31, 31, 32,
            32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 31, 31, 31, 31, 31, 31, 31, 31, 32, 32, 32,
            32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 31, 31, 31, 31, 31, 31, 31, 31, 32, 32, 32,
            32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 31, 31, 31, 31, 31, 31, 31, 31, 32, 32,
            32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 31, 31, 31, 31, 31, 31, 31, 31,
            32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 31, 31, 31, 31, 31,
            31, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 31,
            31, 31, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32,
            32, 32, 32, 32, 31, 31, 31, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32,
            32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 31, 31, 31, 31, 31, 31, 31, 32, 32, 32, 32, 32,
            32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 31, 31, 31, 31, 31,
            31, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32,
            32, 32, 32, 31, 31, 31, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32,
            32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 31, 31, 31, 31, 31, 31, 31, 32, 32, 32,
            32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32,
        ],
        [
            32, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31,
            31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31,
            31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31,
            31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31,
            31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31,
            31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31,
            31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31,
            31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31,
            31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31,
            31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31,
            31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31,
            31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31,
            31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31,
            31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31,
            31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31,
            31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 30,
            30, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31,
            31, 31, 31, 31, 30, 30, 30, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31,
            31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 30, 30, 30, 30, 31, 31, 31, 31, 31, 31, 31, 31,
            31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 30, 30, 30, 30, 30,
            31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31,
            31, 31, 31, 30, 30, 30, 30, 30, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31,
            31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 32, 30, 30, 30, 30, 30, 31, 31, 31, 31, 31,
            31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 32, 32,
        ],
    ],
];

/// Helper: subsample from a source row-major buffer of width 32.
fn subsample(src: &[u8], src_offset: usize, h: usize, hstep: usize, vstep: usize) -> Vec<u8> {
    let mut dst = Vec::new();
    let mut y = 0;
    while y < h {
        let mut x = 0;
        while x < 32 {
            dst.push(src[src_offset + y * 32 + x]);
            x += hstep;
        }
        y += vstep;
    }
    dst
}

/// Helper: transpose a w x h matrix stored row-major into h x w.
fn transpose(src: &[u8], w: usize, h: usize) -> Vec<u8> {
    let mut dst = vec![0u8; w * h];
    for y in 0..h {
        for x in 0..w {
            dst[x * h + y] = src[y * w + x];
        }
    }
    dst
}

/// Helper: expand triangular storage into a full square matrix.
///
/// The triangular data stores the lower triangle row by row:
///   row 0: 1 element, row 1: 2 elements, ..., row sz-1: sz elements.
/// The upper triangle is filled by mirroring: dst[y][x] = src_triangle[x][...] for x > y.
fn untriangle(src: &[u8], sz: usize) -> Vec<u8> {
    let mut dst = vec![0u8; sz * sz];
    let mut src_idx = 0;
    for y in 0..sz {
        // Copy the lower triangle portion (columns 0..=y)
        dst[y * sz..y * sz + y + 1].copy_from_slice(&src[src_idx..src_idx + y + 1]);
        // Fill upper triangle: for x > y, walk down column x of the triangle
        let mut src_ptr = src_idx + y; // points to src[y] within current row
        for x in (y + 1)..sz {
            src_ptr += x;
            dst[y * sz + x] = src[src_ptr];
        }
        src_idx += y + 1;
    }
    dst
}

/// All derived quantizer matrix tables, produced by [`init_qm_tables`].
pub struct QmTables {
    // Derived tables at various sizes
    qm_tbl_4x4: [[[u8; 16]; 2]; 15],
    qm_tbl_4x8: [[[u8; 32]; 2]; 15],
    qm_tbl_4x16: [[[u8; 64]; 2]; 15],
    qm_tbl_8x4: [[[u8; 32]; 2]; 15],
    qm_tbl_8x8: [[[u8; 64]; 2]; 15],
    qm_tbl_8x16: [[[u8; 128]; 2]; 15],
    qm_tbl_8x32: [[[u8; 256]; 2]; 15],
    qm_tbl_16x4: [[[u8; 64]; 2]; 15],
    qm_tbl_16x8: [[[u8; 128]; 2]; 15],
    qm_tbl_16x16: [[[u8; 256]; 2]; 15],
    qm_tbl_16x32: [[[u8; 512]; 2]; 15],
    qm_tbl_32x8: [[[u8; 256]; 2]; 15],
    qm_tbl_32x32: [[[u8; 1024]; 2]; 15],
}

impl QmTables {
    /// Look up the quantizer matrix for a given (qm_level, plane, tx_size).
    ///
    /// Returns `None` when qm_level == 15 (no quantizer matrix).
    pub fn get(&self, qm_level: usize, plane: usize, tx_size: usize) -> Option<&[u8]> {
        if qm_level >= 15 {
            return None;
        }
        let i = qm_level;
        let j = plane;
        // Map tx_size index to the correct backing table, using the same
        // transposed storage convention as the C code.
        match tx_size {
            s if s == TxfmSize::Tx4x4 as usize => Some(&self.qm_tbl_4x4[i][j]),
            s if s == TxfmSize::Tx8x8 as usize => Some(&self.qm_tbl_8x8[i][j]),
            s if s == TxfmSize::Tx16x16 as usize => Some(&self.qm_tbl_16x16[i][j]),
            s if s == TxfmSize::Tx32x32 as usize => Some(&self.qm_tbl_32x32[i][j]),
            s if s == TxfmSize::Tx64x64 as usize => Some(&self.qm_tbl_32x32[i][j]),
            // Rect sizes: note w/h inversion (transposed storage)
            s if s == RectTxfmSize::Rtx4x8 as usize => Some(&self.qm_tbl_8x4[i][j]),
            s if s == RectTxfmSize::Rtx8x4 as usize => Some(&self.qm_tbl_4x8[i][j]),
            s if s == RectTxfmSize::Rtx4x16 as usize => Some(&self.qm_tbl_16x4[i][j]),
            s if s == RectTxfmSize::Rtx16x4 as usize => Some(&self.qm_tbl_4x16[i][j]),
            s if s == RectTxfmSize::Rtx8x16 as usize => Some(&self.qm_tbl_16x8[i][j]),
            s if s == RectTxfmSize::Rtx16x8 as usize => Some(&self.qm_tbl_8x16[i][j]),
            s if s == RectTxfmSize::Rtx8x32 as usize => Some(&self.qm_tbl_32x8[i][j]),
            s if s == RectTxfmSize::Rtx32x8 as usize => Some(&self.qm_tbl_8x32[i][j]),
            s if s == RectTxfmSize::Rtx16x32 as usize => Some(&QM_TBL_32X16[i][j]),
            s if s == RectTxfmSize::Rtx32x16 as usize => Some(&self.qm_tbl_16x32[i][j]),
            s if s == RectTxfmSize::Rtx64x32 as usize => Some(&self.qm_tbl_32x32[i][j]),
            s if s == RectTxfmSize::Rtx32x64 as usize => Some(&self.qm_tbl_32x32[i][j]),
            s if s == RectTxfmSize::Rtx64x16 as usize => Some(&self.qm_tbl_16x32[i][j]),
            s if s == RectTxfmSize::Rtx16x64 as usize => Some(&QM_TBL_32X16[i][j]),
            _ => None,
        }
    }
}

/// Initialize all quantizer matrix tables.
///
/// This corresponds to `dav2d_init_qm_tables()` in the C code.
/// Instead of filling global mutable state, it returns a [`QmTables`] struct
/// that owns all the derived data.
pub fn init_qm_tables() -> QmTables {
    let mut tables = QmTables {
        qm_tbl_4x4: [[[0u8; 16]; 2]; 15],
        qm_tbl_4x8: [[[0u8; 32]; 2]; 15],
        qm_tbl_4x16: [[[0u8; 64]; 2]; 15],
        qm_tbl_8x4: [[[0u8; 32]; 2]; 15],
        qm_tbl_8x8: [[[0u8; 64]; 2]; 15],
        qm_tbl_8x16: [[[0u8; 128]; 2]; 15],
        qm_tbl_8x32: [[[0u8; 256]; 2]; 15],
        qm_tbl_16x4: [[[0u8; 64]; 2]; 15],
        qm_tbl_16x8: [[[0u8; 128]; 2]; 15],
        qm_tbl_16x16: [[[0u8; 256]; 2]; 15],
        qm_tbl_16x32: [[[0u8; 512]; 2]; 15],
        qm_tbl_32x8: [[[0u8; 256]; 2]; 15],
        qm_tbl_32x32: [[[0u8; 1024]; 2]; 15],
    };

    for i in 0..15 {
        for j in 0..2 {
            // Step 1: untriangle 32x32 from triangular storage
            let full_32x32 = untriangle(&QM_TBL_32X32_T[i][j], 32);
            tables.qm_tbl_32x32[i][j].copy_from_slice(&full_32x32);

            // Step 2: subsample smaller sizes from the full matrices
            // subsample(dst, src_offset_into_32wide_buf, h_of_src_region, hstep, vstep)
            let v = subsample(&full_32x32, 32 * 3 + 3, 32, 8, 8);
            tables.qm_tbl_4x4[i][j].copy_from_slice(&v);

            let v = subsample(&QM_TBL_32X16[i][j], 32 + 1, 16, 4, 4);
            tables.qm_tbl_8x4[i][j].copy_from_slice(&v);

            let v = subsample(&full_32x32, 32 + 1, 32, 4, 4);
            tables.qm_tbl_8x8[i][j].copy_from_slice(&v);

            let v = subsample(&QM_TBL_32X16[i][j], 32, 16, 2, 4);
            tables.qm_tbl_16x4[i][j].copy_from_slice(&v);

            let v = subsample(&QM_TBL_32X16[i][j], 0, 16, 2, 2);
            tables.qm_tbl_16x8[i][j].copy_from_slice(&v);

            let v = subsample(&full_32x32, 0, 32, 2, 2);
            tables.qm_tbl_16x16[i][j].copy_from_slice(&v);

            let v = subsample(&QM_TBL_32X16[i][j], 0, 16, 1, 2);
            tables.qm_tbl_32x8[i][j].copy_from_slice(&v);

            // Step 3: transpose to get the remaining sizes
            let v = transpose(&tables.qm_tbl_8x4[i][j], 8, 4);
            tables.qm_tbl_4x8[i][j].copy_from_slice(&v);

            let v = transpose(&tables.qm_tbl_16x4[i][j], 16, 4);
            tables.qm_tbl_4x16[i][j].copy_from_slice(&v);

            let v = transpose(&tables.qm_tbl_16x8[i][j], 16, 8);
            tables.qm_tbl_8x16[i][j].copy_from_slice(&v);

            let v = transpose(&tables.qm_tbl_32x8[i][j], 32, 8);
            tables.qm_tbl_8x32[i][j].copy_from_slice(&v);

            let v = transpose(&QM_TBL_32X16[i][j], 32, 16);
            tables.qm_tbl_16x32[i][j].copy_from_slice(&v);
        }
    }

    tables
}

#[cfg(test)]
mod tests {
    use super::*;

    #[test]
    fn test_dq_lookup_zero() {
        assert_eq!(dq_lookup(0), 64);
    }

    #[test]
    fn test_dq_lookup_first_entries() {
        // qidx=1 -> shift=0, idx=0 -> 40 << 0 = 40
        assert_eq!(dq_lookup(1), 40);
        // qidx=2 -> shift=0, idx=1 -> 41
        assert_eq!(dq_lookup(2), 41);
        // qidx=12 -> shift=0, idx=11 -> 55
        assert_eq!(dq_lookup(12), 55);
        // qidx=24 -> shift=0, idx=23 -> 78
        assert_eq!(dq_lookup(24), 78);
    }

    #[test]
    fn test_dq_lookup_second_shift() {
        // qidx=25 -> shift=1, idx=0 -> 40 << 1 = 80
        assert_eq!(dq_lookup(25), 80);
        // qidx=26 -> shift=1, idx=1 -> 41 << 1 = 82
        assert_eq!(dq_lookup(26), 82);
    }

    #[test]
    fn test_dq_lookup_higher_shifts() {
        // qidx=49 -> shift=2, idx=0 -> 40 << 2 = 160
        assert_eq!(dq_lookup(49), 160);
    }

    #[test]
    fn test_untriangle_small() {
        // Test with a 3x3 triangle: [a, b,c, d,e,f] -> 3x3 matrix
        // Row 0: [a, tri[0] from row1_col0_to_here, tri from row2...]
        // Actually: row0=[a], row1=[b,c], row2=[d,e,f]
        // untriangle fills: dst[0][0]=a, dst[0][1]=src_triangle walk, dst[0][2]=walk
        //                   dst[1][0]=b, dst[1][1]=c, dst[1][2]=walk
        //                   dst[2][0]=d, dst[2][1]=e, dst[2][2]=f
        let tri = [1u8, 2, 3, 4, 5, 6];
        let result = untriangle(&tri, 3);
        // Row 0: [1, then walk: src_ptr starts at tri[0], x=1: src_ptr+=1 -> tri[1]=2, x=2: src_ptr+=2 -> tri[3]=4]
        assert_eq!(result[0], 1); // [0][0]
        assert_eq!(result[1], 2); // [0][1] = tri[1]
        assert_eq!(result[2], 4); // [0][2] = tri[3]
        // Row 1: copy [2,3], then x=2: src_ptr=tri[1+1]=tri[2], src_ptr+=2 -> tri[4]=5
        assert_eq!(result[3], 2); // [1][0]
        assert_eq!(result[4], 3); // [1][1]
        assert_eq!(result[5], 5); // [1][2] = tri[4]
        // Row 2: copy [4,5,6]
        assert_eq!(result[6], 4); // [2][0]
        assert_eq!(result[7], 5); // [2][1]
        assert_eq!(result[8], 6); // [2][2]
    }

    #[test]
    fn test_transpose() {
        // 3x2 matrix [1,2,3, 4,5,6] -> 2x3 matrix [1,4, 2,5, 3,6]
        let src = [1u8, 2, 3, 4, 5, 6];
        let result = transpose(&src, 3, 2);
        assert_eq!(result, vec![1, 4, 2, 5, 3, 6]);
    }

    #[test]
    fn test_subsample() {
        // Create a simple 32-wide buffer with 2 rows (h=2, stride=32)
        let mut src = vec![0u8; 64];
        for i in 0..64 {
            src[i] = i as u8;
        }
        // subsample with hstep=2, vstep=1 -> take every other column from both rows
        let result = subsample(&src, 0, 2, 2, 1);
        assert_eq!(result.len(), 32); // 2 rows * 16 cols
        assert_eq!(result[0], 0);
        assert_eq!(result[1], 2);
        assert_eq!(result[15], 30);
        assert_eq!(result[16], 32);
    }

    #[test]
    fn test_init_qm_tables_runs() {
        // Smoke test: init should not panic
        let tables = init_qm_tables();

        // Check that level 0, plane 0 32x32 has non-zero data
        assert!(tables.qm_tbl_32x32[0][0].iter().any(|&v| v != 0));

        // Check that 4x4 has 16 entries and they are all non-zero
        assert!(tables.qm_tbl_4x4[0][0].iter().all(|&v| v != 0));
    }

    #[test]
    fn test_qm_tables_get() {
        let tables = init_qm_tables();

        // Level 15 should return None
        assert!(tables.get(15, 0, TxfmSize::Tx4x4 as usize).is_none());

        // Level 0, plane 0, Tx4x4 should return Some
        let data = tables.get(0, 0, TxfmSize::Tx4x4 as usize);
        assert!(data.is_some());
        assert_eq!(data.unwrap().len(), 16);

        // 64x64 should alias to 32x32
        let d32 = tables.get(0, 0, TxfmSize::Tx32x32 as usize).unwrap();
        let d64 = tables.get(0, 0, TxfmSize::Tx64x64 as usize).unwrap();
        assert_eq!(d32, d64);

        // RTX_64X32 should alias to TX_32X32
        let d_rtx = tables.get(0, 0, RectTxfmSize::Rtx64x32 as usize).unwrap();
        assert_eq!(d32, d_rtx);
    }

    #[test]
    fn test_qm_tbl_32x16_first_values() {
        // Verify first few values of the source data match C
        assert_eq!(QM_TBL_32X16[0][0][0], 32);
        assert_eq!(QM_TBL_32X16[0][0][1], 31);
        assert_eq!(QM_TBL_32X16[0][0][2], 31);
        assert_eq!(QM_TBL_32X16[0][0][3], 31);
        assert_eq!(QM_TBL_32X16[0][0][4], 32);
    }

    #[test]
    fn test_qm_tbl_32x32_t_first_values() {
        // Triangular: first row has 1 element, second has 2, etc.
        assert_eq!(QM_TBL_32X32_T[0][0][0], 32); // row 0, col 0
        assert_eq!(QM_TBL_32X32_T[0][0][1], 31); // row 1, col 0
        assert_eq!(QM_TBL_32X32_T[0][0][2], 32); // row 1, col 1
    }

    #[test]
    fn test_32x32_symmetry() {
        // After untriangle, the matrix should be symmetric
        let full = untriangle(&QM_TBL_32X32_T[0][0], 32);
        for y in 0..32 {
            for x in 0..32 {
                assert_eq!(
                    full[y * 32 + x],
                    full[x * 32 + y],
                    "Asymmetry at ({}, {})",
                    y,
                    x
                );
            }
        }
    }
}