o3de/Gems/AtomTressFX/External/Code/src/MarchingCubesTables.h

//---------------------------------------------------------------------------------------
// MARCHING_CUBES_EDGE_TABLE[] and MARCHING_CUBES_TRIANGLE_TABLE[] from:
//	http://paulbourke.net/geometry/polygonise/
//	http://paulbourke.net/geometry/polygonise/marchingsource.cpp (public domain)
//-------------------------------------------------------------------------------------
//
// Copyright (c) 2017 Advanced Micro Devices, Inc. All rights reserved.
//
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// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
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// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
//
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//

#ifndef MARCHING_CUBES_TABLES_H
#define MARCHING_CUBES_TABLES_H

// Contains 12-bit numbers, with one bit for each edge of a cube
// For each bit:
//	0 == do not generate a vertex at that edge
//	1 == generate a vertex at that edge
static const int MARCHING_CUBES_EDGE_TABLE[256] = {
    0x000, 0x109, 0x203, 0x30a, 0x406, 0x50f, 0x605, 0x70c, 0x80c, 0x905, 0xa0f, 0xb06, 0xc0a,
    0xd03, 0xe09, 0xf00, 0x190, 0x099, 0x393, 0x29a, 0x596, 0x49f, 0x795, 0x69c, 0x99c, 0x895,
    0xb9f, 0xa96, 0xd9a, 0xc93, 0xf99, 0xe90, 0x230, 0x339, 0x033, 0x13a, 0x636, 0x73f, 0x435,
    0x53c, 0xa3c, 0xb35, 0x83f, 0x936, 0xe3a, 0xf33, 0xc39, 0xd30, 0x3a0, 0x2a9, 0x1a3, 0x0aa,
    0x7a6, 0x6af, 0x5a5, 0x4ac, 0xbac, 0xaa5, 0x9af, 0x8a6, 0xfaa, 0xea3, 0xda9, 0xca0, 0x460,
    0x569, 0x663, 0x76a, 0x066, 0x16f, 0x265, 0x36c, 0xc6c, 0xd65, 0xe6f, 0xf66, 0x86a, 0x963,
    0xa69, 0xb60, 0x5f0, 0x4f9, 0x7f3, 0x6fa, 0x1f6, 0x0ff, 0x3f5, 0x2fc, 0xdfc, 0xcf5, 0xfff,
    0xef6, 0x9fa, 0x8f3, 0xbf9, 0xaf0, 0x650, 0x759, 0x453, 0x55a, 0x256, 0x35f, 0x055, 0x15c,
    0xe5c, 0xf55, 0xc5f, 0xd56, 0xa5a, 0xb53, 0x859, 0x950, 0x7c0, 0x6c9, 0x5c3, 0x4ca, 0x3c6,
    0x2cf, 0x1c5, 0x0cc, 0xfcc, 0xec5, 0xdcf, 0xcc6, 0xbca, 0xac3, 0x9c9, 0x8c0, 0x8c0, 0x9c9,
    0xac3, 0xbca, 0xcc6, 0xdcf, 0xec5, 0xfcc, 0x0cc, 0x1c5, 0x2cf, 0x3c6, 0x4ca, 0x5c3, 0x6c9,
    0x7c0, 0x950, 0x859, 0xb53, 0xa5a, 0xd56, 0xc5f, 0xf55, 0xe5c, 0x15c, 0x055, 0x35f, 0x256,
    0x55a, 0x453, 0x759, 0x650, 0xaf0, 0xbf9, 0x8f3, 0x9fa, 0xef6, 0xfff, 0xcf5, 0xdfc, 0x2fc,
    0x3f5, 0x0ff, 0x1f6, 0x6fa, 0x7f3, 0x4f9, 0x5f0, 0xb60, 0xa69, 0x963, 0x86a, 0xf66, 0xe6f,
    0xd65, 0xc6c, 0x36c, 0x265, 0x16f, 0x066, 0x76a, 0x663, 0x569, 0x460, 0xca0, 0xda9, 0xea3,
    0xfaa, 0x8a6, 0x9af, 0xaa5, 0xbac, 0x4ac, 0x5a5, 0x6af, 0x7a6, 0x0aa, 0x1a3, 0x2a9, 0x3a0,
    0xd30, 0xc39, 0xf33, 0xe3a, 0x936, 0x83f, 0xb35, 0xa3c, 0x53c, 0x435, 0x73f, 0x636, 0x13a,
    0x033, 0x339, 0x230, 0xe90, 0xf99, 0xc93, 0xd9a, 0xa96, 0xb9f, 0x895, 0x99c, 0x69c, 0x795,
    0x49f, 0x596, 0x29a, 0x393, 0x099, 0x190, 0xf00, 0xe09, 0xd03, 0xc0a, 0xb06, 0xa0f, 0x905,
    0x80c, 0x70c, 0x605, 0x50f, 0x406, 0x30a, 0x203, 0x109, 0x000
};

// Contains triangle indicies for the (at most 12) vertices generated from EDGE_TABLE
// each line is 16 elements, and contains up to 15 indicies, or 5 triangles
// -1 == invalid index
static const int MARCHING_CUBES_TRIANGLE_TABLE[256 * 16] = {
    -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0,  8,  3,  -1, -1, -1, -1, -1,
    -1, -1, -1, -1, -1, -1, -1, -1, 0,  1,  9,  -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
    1,  8,  3,  9,  8,  1,  -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1,  2,  10, -1, -1, -1, -1, -1,
    -1, -1, -1, -1, -1, -1, -1, -1, 0,  8,  3,  1,  2,  10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
    9,  2,  10, 0,  2,  9,  -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2,  8,  3,  2,  10, 8,  10, 9,
    8,  -1, -1, -1, -1, -1, -1, -1, 3,  11, 2,  -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
    0,  11, 2,  8,  11, 0,  -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1,  9,  0,  2,  3,  11, -1, -1,
    -1, -1, -1, -1, -1, -1, -1, -1, 1,  11, 2,  1,  9,  11, 9,  8,  11, -1, -1, -1, -1, -1, -1, -1,
    3,  10, 1,  11, 10, 3,  -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0,  10, 1,  0,  8,  10, 8,  11,
    10, -1, -1, -1, -1, -1, -1, -1, 3,  9,  0,  3,  11, 9,  11, 10, 9,  -1, -1, -1, -1, -1, -1, -1,
    9,  8,  10, 10, 8,  11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4,  7,  8,  -1, -1, -1, -1, -1,
    -1, -1, -1, -1, -1, -1, -1, -1, 4,  3,  0,  7,  3,  4,  -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
    0,  1,  9,  8,  4,  7,  -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4,  1,  9,  4,  7,  1,  7,  3,
    1,  -1, -1, -1, -1, -1, -1, -1, 1,  2,  10, 8,  4,  7,  -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
    3,  4,  7,  3,  0,  4,  1,  2,  10, -1, -1, -1, -1, -1, -1, -1, 9,  2,  10, 9,  0,  2,  8,  4,
    7,  -1, -1, -1, -1, -1, -1, -1, 2,  10, 9,  2,  9,  7,  2,  7,  3,  7,  9,  4,  -1, -1, -1, -1,
    8,  4,  7,  3,  11, 2,  -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 11, 4,  7,  11, 2,  4,  2,  0,
    4,  -1, -1, -1, -1, -1, -1, -1, 9,  0,  1,  8,  4,  7,  2,  3,  11, -1, -1, -1, -1, -1, -1, -1,
    4,  7,  11, 9,  4,  11, 9,  11, 2,  9,  2,  1,  -1, -1, -1, -1, 3,  10, 1,  3,  11, 10, 7,  8,
    4,  -1, -1, -1, -1, -1, -1, -1, 1,  11, 10, 1,  4,  11, 1,  0,  4,  7,  11, 4,  -1, -1, -1, -1,
    4,  7,  8,  9,  0,  11, 9,  11, 10, 11, 0,  3,  -1, -1, -1, -1, 4,  7,  11, 4,  11, 9,  9,  11,
    10, -1, -1, -1, -1, -1, -1, -1, 9,  5,  4,  -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
    9,  5,  4,  0,  8,  3,  -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0,  5,  4,  1,  5,  0,  -1, -1,
    -1, -1, -1, -1, -1, -1, -1, -1, 8,  5,  4,  8,  3,  5,  3,  1,  5,  -1, -1, -1, -1, -1, -1, -1,
    1,  2,  10, 9,  5,  4,  -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 3,  0,  8,  1,  2,  10, 4,  9,
    5,  -1, -1, -1, -1, -1, -1, -1, 5,  2,  10, 5,  4,  2,  4,  0,  2,  -1, -1, -1, -1, -1, -1, -1,
    2,  10, 5,  3,  2,  5,  3,  5,  4,  3,  4,  8,  -1, -1, -1, -1, 9,  5,  4,  2,  3,  11, -1, -1,
    -1, -1, -1, -1, -1, -1, -1, -1, 0,  11, 2,  0,  8,  11, 4,  9,  5,  -1, -1, -1, -1, -1, -1, -1,
    0,  5,  4,  0,  1,  5,  2,  3,  11, -1, -1, -1, -1, -1, -1, -1, 2,  1,  5,  2,  5,  8,  2,  8,
    11, 4,  8,  5,  -1, -1, -1, -1, 10, 3,  11, 10, 1,  3,  9,  5,  4,  -1, -1, -1, -1, -1, -1, -1,
    4,  9,  5,  0,  8,  1,  8,  10, 1,  8,  11, 10, -1, -1, -1, -1, 5,  4,  0,  5,  0,  11, 5,  11,
    10, 11, 0,  3,  -1, -1, -1, -1, 5,  4,  8,  5,  8,  10, 10, 8,  11, -1, -1, -1, -1, -1, -1, -1,
    9,  7,  8,  5,  7,  9,  -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 9,  3,  0,  9,  5,  3,  5,  7,
    3,  -1, -1, -1, -1, -1, -1, -1, 0,  7,  8,  0,  1,  7,  1,  5,  7,  -1, -1, -1, -1, -1, -1, -1,
    1,  5,  3,  3,  5,  7,  -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 9,  7,  8,  9,  5,  7,  10, 1,
    2,  -1, -1, -1, -1, -1, -1, -1, 10, 1,  2,  9,  5,  0,  5,  3,  0,  5,  7,  3,  -1, -1, -1, -1,
    8,  0,  2,  8,  2,  5,  8,  5,  7,  10, 5,  2,  -1, -1, -1, -1, 2,  10, 5,  2,  5,  3,  3,  5,
    7,  -1, -1, -1, -1, -1, -1, -1, 7,  9,  5,  7,  8,  9,  3,  11, 2,  -1, -1, -1, -1, -1, -1, -1,
    9,  5,  7,  9,  7,  2,  9,  2,  0,  2,  7,  11, -1, -1, -1, -1, 2,  3,  11, 0,  1,  8,  1,  7,
    8,  1,  5,  7,  -1, -1, -1, -1, 11, 2,  1,  11, 1,  7,  7,  1,  5,  -1, -1, -1, -1, -1, -1, -1,
    9,  5,  8,  8,  5,  7,  10, 1,  3,  10, 3,  11, -1, -1, -1, -1, 5,  7,  0,  5,  0,  9,  7,  11,
    0,  1,  0,  10, 11, 10, 0,  -1, 11, 10, 0,  11, 0,  3,  10, 5,  0,  8,  0,  7,  5,  7,  0,  -1,
    11, 10, 5,  7,  11, 5,  -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 10, 6,  5,  -1, -1, -1, -1, -1,
    -1, -1, -1, -1, -1, -1, -1, -1, 0,  8,  3,  5,  10, 6,  -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
    9,  0,  1,  5,  10, 6,  -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1,  8,  3,  1,  9,  8,  5,  10,
    6,  -1, -1, -1, -1, -1, -1, -1, 1,  6,  5,  2,  6,  1,  -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
    1,  6,  5,  1,  2,  6,  3,  0,  8,  -1, -1, -1, -1, -1, -1, -1, 9,  6,  5,  9,  0,  6,  0,  2,
    6,  -1, -1, -1, -1, -1, -1, -1, 5,  9,  8,  5,  8,  2,  5,  2,  6,  3,  2,  8,  -1, -1, -1, -1,
    2,  3,  11, 10, 6,  5,  -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 11, 0,  8,  11, 2,  0,  10, 6,
    5,  -1, -1, -1, -1, -1, -1, -1, 0,  1,  9,  2,  3,  11, 5,  10, 6,  -1, -1, -1, -1, -1, -1, -1,
    5,  10, 6,  1,  9,  2,  9,  11, 2,  9,  8,  11, -1, -1, -1, -1, 6,  3,  11, 6,  5,  3,  5,  1,
    3,  -1, -1, -1, -1, -1, -1, -1, 0,  8,  11, 0,  11, 5,  0,  5,  1,  5,  11, 6,  -1, -1, -1, -1,
    3,  11, 6,  0,  3,  6,  0,  6,  5,  0,  5,  9,  -1, -1, -1, -1, 6,  5,  9,  6,  9,  11, 11, 9,
    8,  -1, -1, -1, -1, -1, -1, -1, 5,  10, 6,  4,  7,  8,  -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
    4,  3,  0,  4,  7,  3,  6,  5,  10, -1, -1, -1, -1, -1, -1, -1, 1,  9,  0,  5,  10, 6,  8,  4,
    7,  -1, -1, -1, -1, -1, -1, -1, 10, 6,  5,  1,  9,  7,  1,  7,  3,  7,  9,  4,  -1, -1, -1, -1,
    6,  1,  2,  6,  5,  1,  4,  7,  8,  -1, -1, -1, -1, -1, -1, -1, 1,  2,  5,  5,  2,  6,  3,  0,
    4,  3,  4,  7,  -1, -1, -1, -1, 8,  4,  7,  9,  0,  5,  0,  6,  5,  0,  2,  6,  -1, -1, -1, -1,
    7,  3,  9,  7,  9,  4,  3,  2,  9,  5,  9,  6,  2,  6,  9,  -1, 3,  11, 2,  7,  8,  4,  10, 6,
    5,  -1, -1, -1, -1, -1, -1, -1, 5,  10, 6,  4,  7,  2,  4,  2,  0,  2,  7,  11, -1, -1, -1, -1,
    0,  1,  9,  4,  7,  8,  2,  3,  11, 5,  10, 6,  -1, -1, -1, -1, 9,  2,  1,  9,  11, 2,  9,  4,
    11, 7,  11, 4,  5,  10, 6,  -1, 8,  4,  7,  3,  11, 5,  3,  5,  1,  5,  11, 6,  -1, -1, -1, -1,
    5,  1,  11, 5,  11, 6,  1,  0,  11, 7,  11, 4,  0,  4,  11, -1, 0,  5,  9,  0,  6,  5,  0,  3,
    6,  11, 6,  3,  8,  4,  7,  -1, 6,  5,  9,  6,  9,  11, 4,  7,  9,  7,  11, 9,  -1, -1, -1, -1,
    10, 4,  9,  6,  4,  10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4,  10, 6,  4,  9,  10, 0,  8,
    3,  -1, -1, -1, -1, -1, -1, -1, 10, 0,  1,  10, 6,  0,  6,  4,  0,  -1, -1, -1, -1, -1, -1, -1,
    8,  3,  1,  8,  1,  6,  8,  6,  4,  6,  1,  10, -1, -1, -1, -1, 1,  4,  9,  1,  2,  4,  2,  6,
    4,  -1, -1, -1, -1, -1, -1, -1, 3,  0,  8,  1,  2,  9,  2,  4,  9,  2,  6,  4,  -1, -1, -1, -1,
    0,  2,  4,  4,  2,  6,  -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 8,  3,  2,  8,  2,  4,  4,  2,
    6,  -1, -1, -1, -1, -1, -1, -1, 10, 4,  9,  10, 6,  4,  11, 2,  3,  -1, -1, -1, -1, -1, -1, -1,
    0,  8,  2,  2,  8,  11, 4,  9,  10, 4,  10, 6,  -1, -1, -1, -1, 3,  11, 2,  0,  1,  6,  0,  6,
    4,  6,  1,  10, -1, -1, -1, -1, 6,  4,  1,  6,  1,  10, 4,  8,  1,  2,  1,  11, 8,  11, 1,  -1,
    9,  6,  4,  9,  3,  6,  9,  1,  3,  11, 6,  3,  -1, -1, -1, -1, 8,  11, 1,  8,  1,  0,  11, 6,
    1,  9,  1,  4,  6,  4,  1,  -1, 3,  11, 6,  3,  6,  0,  0,  6,  4,  -1, -1, -1, -1, -1, -1, -1,
    6,  4,  8,  11, 6,  8,  -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 7,  10, 6,  7,  8,  10, 8,  9,
    10, -1, -1, -1, -1, -1, -1, -1, 0,  7,  3,  0,  10, 7,  0,  9,  10, 6,  7,  10, -1, -1, -1, -1,
    10, 6,  7,  1,  10, 7,  1,  7,  8,  1,  8,  0,  -1, -1, -1, -1, 10, 6,  7,  10, 7,  1,  1,  7,
    3,  -1, -1, -1, -1, -1, -1, -1, 1,  2,  6,  1,  6,  8,  1,  8,  9,  8,  6,  7,  -1, -1, -1, -1,
    2,  6,  9,  2,  9,  1,  6,  7,  9,  0,  9,  3,  7,  3,  9,  -1, 7,  8,  0,  7,  0,  6,  6,  0,
    2,  -1, -1, -1, -1, -1, -1, -1, 7,  3,  2,  6,  7,  2,  -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
    2,  3,  11, 10, 6,  8,  10, 8,  9,  8,  6,  7,  -1, -1, -1, -1, 2,  0,  7,  2,  7,  11, 0,  9,
    7,  6,  7,  10, 9,  10, 7,  -1, 1,  8,  0,  1,  7,  8,  1,  10, 7,  6,  7,  10, 2,  3,  11, -1,
    11, 2,  1,  11, 1,  7,  10, 6,  1,  6,  7,  1,  -1, -1, -1, -1, 8,  9,  6,  8,  6,  7,  9,  1,
    6,  11, 6,  3,  1,  3,  6,  -1, 0,  9,  1,  11, 6,  7,  -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
    7,  8,  0,  7,  0,  6,  3,  11, 0,  11, 6,  0,  -1, -1, -1, -1, 7,  11, 6,  -1, -1, -1, -1, -1,
    -1, -1, -1, -1, -1, -1, -1, -1, 7,  6,  11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
    3,  0,  8,  11, 7,  6,  -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0,  1,  9,  11, 7,  6,  -1, -1,
    -1, -1, -1, -1, -1, -1, -1, -1, 8,  1,  9,  8,  3,  1,  11, 7,  6,  -1, -1, -1, -1, -1, -1, -1,
    10, 1,  2,  6,  11, 7,  -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1,  2,  10, 3,  0,  8,  6,  11,
    7,  -1, -1, -1, -1, -1, -1, -1, 2,  9,  0,  2,  10, 9,  6,  11, 7,  -1, -1, -1, -1, -1, -1, -1,
    6,  11, 7,  2,  10, 3,  10, 8,  3,  10, 9,  8,  -1, -1, -1, -1, 7,  2,  3,  6,  2,  7,  -1, -1,
    -1, -1, -1, -1, -1, -1, -1, -1, 7,  0,  8,  7,  6,  0,  6,  2,  0,  -1, -1, -1, -1, -1, -1, -1,
    2,  7,  6,  2,  3,  7,  0,  1,  9,  -1, -1, -1, -1, -1, -1, -1, 1,  6,  2,  1,  8,  6,  1,  9,
    8,  8,  7,  6,  -1, -1, -1, -1, 10, 7,  6,  10, 1,  7,  1,  3,  7,  -1, -1, -1, -1, -1, -1, -1,
    10, 7,  6,  1,  7,  10, 1,  8,  7,  1,  0,  8,  -1, -1, -1, -1, 0,  3,  7,  0,  7,  10, 0,  10,
    9,  6,  10, 7,  -1, -1, -1, -1, 7,  6,  10, 7,  10, 8,  8,  10, 9,  -1, -1, -1, -1, -1, -1, -1,
    6,  8,  4,  11, 8,  6,  -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 3,  6,  11, 3,  0,  6,  0,  4,
    6,  -1, -1, -1, -1, -1, -1, -1, 8,  6,  11, 8,  4,  6,  9,  0,  1,  -1, -1, -1, -1, -1, -1, -1,
    9,  4,  6,  9,  6,  3,  9,  3,  1,  11, 3,  6,  -1, -1, -1, -1, 6,  8,  4,  6,  11, 8,  2,  10,
    1,  -1, -1, -1, -1, -1, -1, -1, 1,  2,  10, 3,  0,  11, 0,  6,  11, 0,  4,  6,  -1, -1, -1, -1,
    4,  11, 8,  4,  6,  11, 0,  2,  9,  2,  10, 9,  -1, -1, -1, -1, 10, 9,  3,  10, 3,  2,  9,  4,
    3,  11, 3,  6,  4,  6,  3,  -1, 8,  2,  3,  8,  4,  2,  4,  6,  2,  -1, -1, -1, -1, -1, -1, -1,
    0,  4,  2,  4,  6,  2,  -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1,  9,  0,  2,  3,  4,  2,  4,
    6,  4,  3,  8,  -1, -1, -1, -1, 1,  9,  4,  1,  4,  2,  2,  4,  6,  -1, -1, -1, -1, -1, -1, -1,
    8,  1,  3,  8,  6,  1,  8,  4,  6,  6,  10, 1,  -1, -1, -1, -1, 10, 1,  0,  10, 0,  6,  6,  0,
    4,  -1, -1, -1, -1, -1, -1, -1, 4,  6,  3,  4,  3,  8,  6,  10, 3,  0,  3,  9,  10, 9,  3,  -1,
    10, 9,  4,  6,  10, 4,  -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4,  9,  5,  7,  6,  11, -1, -1,
    -1, -1, -1, -1, -1, -1, -1, -1, 0,  8,  3,  4,  9,  5,  11, 7,  6,  -1, -1, -1, -1, -1, -1, -1,
    5,  0,  1,  5,  4,  0,  7,  6,  11, -1, -1, -1, -1, -1, -1, -1, 11, 7,  6,  8,  3,  4,  3,  5,
    4,  3,  1,  5,  -1, -1, -1, -1, 9,  5,  4,  10, 1,  2,  7,  6,  11, -1, -1, -1, -1, -1, -1, -1,
    6,  11, 7,  1,  2,  10, 0,  8,  3,  4,  9,  5,  -1, -1, -1, -1, 7,  6,  11, 5,  4,  10, 4,  2,
    10, 4,  0,  2,  -1, -1, -1, -1, 3,  4,  8,  3,  5,  4,  3,  2,  5,  10, 5,  2,  11, 7,  6,  -1,
    7,  2,  3,  7,  6,  2,  5,  4,  9,  -1, -1, -1, -1, -1, -1, -1, 9,  5,  4,  0,  8,  6,  0,  6,
    2,  6,  8,  7,  -1, -1, -1, -1, 3,  6,  2,  3,  7,  6,  1,  5,  0,  5,  4,  0,  -1, -1, -1, -1,
    6,  2,  8,  6,  8,  7,  2,  1,  8,  4,  8,  5,  1,  5,  8,  -1, 9,  5,  4,  10, 1,  6,  1,  7,
    6,  1,  3,  7,  -1, -1, -1, -1, 1,  6,  10, 1,  7,  6,  1,  0,  7,  8,  7,  0,  9,  5,  4,  -1,
    4,  0,  10, 4,  10, 5,  0,  3,  10, 6,  10, 7,  3,  7,  10, -1, 7,  6,  10, 7,  10, 8,  5,  4,
    10, 4,  8,  10, -1, -1, -1, -1, 6,  9,  5,  6,  11, 9,  11, 8,  9,  -1, -1, -1, -1, -1, -1, -1,
    3,  6,  11, 0,  6,  3,  0,  5,  6,  0,  9,  5,  -1, -1, -1, -1, 0,  11, 8,  0,  5,  11, 0,  1,
    5,  5,  6,  11, -1, -1, -1, -1, 6,  11, 3,  6,  3,  5,  5,  3,  1,  -1, -1, -1, -1, -1, -1, -1,
    1,  2,  10, 9,  5,  11, 9,  11, 8,  11, 5,  6,  -1, -1, -1, -1, 0,  11, 3,  0,  6,  11, 0,  9,
    6,  5,  6,  9,  1,  2,  10, -1, 11, 8,  5,  11, 5,  6,  8,  0,  5,  10, 5,  2,  0,  2,  5,  -1,
    6,  11, 3,  6,  3,  5,  2,  10, 3,  10, 5,  3,  -1, -1, -1, -1, 5,  8,  9,  5,  2,  8,  5,  6,
    2,  3,  8,  2,  -1, -1, -1, -1, 9,  5,  6,  9,  6,  0,  0,  6,  2,  -1, -1, -1, -1, -1, -1, -1,
    1,  5,  8,  1,  8,  0,  5,  6,  8,  3,  8,  2,  6,  2,  8,  -1, 1,  5,  6,  2,  1,  6,  -1, -1,
    -1, -1, -1, -1, -1, -1, -1, -1, 1,  3,  6,  1,  6,  10, 3,  8,  6,  5,  6,  9,  8,  9,  6,  -1,
    10, 1,  0,  10, 0,  6,  9,  5,  0,  5,  6,  0,  -1, -1, -1, -1, 0,  3,  8,  5,  6,  10, -1, -1,
    -1, -1, -1, -1, -1, -1, -1, -1, 10, 5,  6,  -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
    11, 5,  10, 7,  5,  11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 11, 5,  10, 11, 7,  5,  8,  3,
    0,  -1, -1, -1, -1, -1, -1, -1, 5,  11, 7,  5,  10, 11, 1,  9,  0,  -1, -1, -1, -1, -1, -1, -1,
    10, 7,  5,  10, 11, 7,  9,  8,  1,  8,  3,  1,  -1, -1, -1, -1, 11, 1,  2,  11, 7,  1,  7,  5,
    1,  -1, -1, -1, -1, -1, -1, -1, 0,  8,  3,  1,  2,  7,  1,  7,  5,  7,  2,  11, -1, -1, -1, -1,
    9,  7,  5,  9,  2,  7,  9,  0,  2,  2,  11, 7,  -1, -1, -1, -1, 7,  5,  2,  7,  2,  11, 5,  9,
    2,  3,  2,  8,  9,  8,  2,  -1, 2,  5,  10, 2,  3,  5,  3,  7,  5,  -1, -1, -1, -1, -1, -1, -1,
    8,  2,  0,  8,  5,  2,  8,  7,  5,  10, 2,  5,  -1, -1, -1, -1, 9,  0,  1,  5,  10, 3,  5,  3,
    7,  3,  10, 2,  -1, -1, -1, -1, 9,  8,  2,  9,  2,  1,  8,  7,  2,  10, 2,  5,  7,  5,  2,  -1,
    1,  3,  5,  3,  7,  5,  -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0,  8,  7,  0,  7,  1,  1,  7,
    5,  -1, -1, -1, -1, -1, -1, -1, 9,  0,  3,  9,  3,  5,  5,  3,  7,  -1, -1, -1, -1, -1, -1, -1,
    9,  8,  7,  5,  9,  7,  -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 5,  8,  4,  5,  10, 8,  10, 11,
    8,  -1, -1, -1, -1, -1, -1, -1, 5,  0,  4,  5,  11, 0,  5,  10, 11, 11, 3,  0,  -1, -1, -1, -1,
    0,  1,  9,  8,  4,  10, 8,  10, 11, 10, 4,  5,  -1, -1, -1, -1, 10, 11, 4,  10, 4,  5,  11, 3,
    4,  9,  4,  1,  3,  1,  4,  -1, 2,  5,  1,  2,  8,  5,  2,  11, 8,  4,  5,  8,  -1, -1, -1, -1,
    0,  4,  11, 0,  11, 3,  4,  5,  11, 2,  11, 1,  5,  1,  11, -1, 0,  2,  5,  0,  5,  9,  2,  11,
    5,  4,  5,  8,  11, 8,  5,  -1, 9,  4,  5,  2,  11, 3,  -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
    2,  5,  10, 3,  5,  2,  3,  4,  5,  3,  8,  4,  -1, -1, -1, -1, 5,  10, 2,  5,  2,  4,  4,  2,
    0,  -1, -1, -1, -1, -1, -1, -1, 3,  10, 2,  3,  5,  10, 3,  8,  5,  4,  5,  8,  0,  1,  9,  -1,
    5,  10, 2,  5,  2,  4,  1,  9,  2,  9,  4,  2,  -1, -1, -1, -1, 8,  4,  5,  8,  5,  3,  3,  5,
    1,  -1, -1, -1, -1, -1, -1, -1, 0,  4,  5,  1,  0,  5,  -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
    8,  4,  5,  8,  5,  3,  9,  0,  5,  0,  3,  5,  -1, -1, -1, -1, 9,  4,  5,  -1, -1, -1, -1, -1,
    -1, -1, -1, -1, -1, -1, -1, -1, 4,  11, 7,  4,  9,  11, 9,  10, 11, -1, -1, -1, -1, -1, -1, -1,
    0,  8,  3,  4,  9,  7,  9,  11, 7,  9,  10, 11, -1, -1, -1, -1, 1,  10, 11, 1,  11, 4,  1,  4,
    0,  7,  4,  11, -1, -1, -1, -1, 3,  1,  4,  3,  4,  8,  1,  10, 4,  7,  4,  11, 10, 11, 4,  -1,
    4,  11, 7,  9,  11, 4,  9,  2,  11, 9,  1,  2,  -1, -1, -1, -1, 9,  7,  4,  9,  11, 7,  9,  1,
    11, 2,  11, 1,  0,  8,  3,  -1, 11, 7,  4,  11, 4,  2,  2,  4,  0,  -1, -1, -1, -1, -1, -1, -1,
    11, 7,  4,  11, 4,  2,  8,  3,  4,  3,  2,  4,  -1, -1, -1, -1, 2,  9,  10, 2,  7,  9,  2,  3,
    7,  7,  4,  9,  -1, -1, -1, -1, 9,  10, 7,  9,  7,  4,  10, 2,  7,  8,  7,  0,  2,  0,  7,  -1,
    3,  7,  10, 3,  10, 2,  7,  4,  10, 1,  10, 0,  4,  0,  10, -1, 1,  10, 2,  8,  7,  4,  -1, -1,
    -1, -1, -1, -1, -1, -1, -1, -1, 4,  9,  1,  4,  1,  7,  7,  1,  3,  -1, -1, -1, -1, -1, -1, -1,
    4,  9,  1,  4,  1,  7,  0,  8,  1,  8,  7,  1,  -1, -1, -1, -1, 4,  0,  3,  7,  4,  3,  -1, -1,
    -1, -1, -1, -1, -1, -1, -1, -1, 4,  8,  7,  -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
    9,  10, 8,  10, 11, 8,  -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 3,  0,  9,  3,  9,  11, 11, 9,
    10, -1, -1, -1, -1, -1, -1, -1, 0,  1,  10, 0,  10, 8,  8,  10, 11, -1, -1, -1, -1, -1, -1, -1,
    3,  1,  10, 11, 3,  10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1,  2,  11, 1,  11, 9,  9,  11,
    8,  -1, -1, -1, -1, -1, -1, -1, 3,  0,  9,  3,  9,  11, 1,  2,  9,  2,  11, 9,  -1, -1, -1, -1,
    0,  2,  11, 8,  0,  11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 3,  2,  11, -1, -1, -1, -1, -1,
    -1, -1, -1, -1, -1, -1, -1, -1, 2,  3,  8,  2,  8,  10, 10, 8,  9,  -1, -1, -1, -1, -1, -1, -1,
    9,  10, 2,  0,  9,  2,  -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2,  3,  8,  2,  8,  10, 0,  1,
    8,  1,  10, 8,  -1, -1, -1, -1, 1,  10, 2,  -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
    1,  3,  8,  9,  1,  8,  -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0,  9,  1,  -1, -1, -1, -1, -1,
    -1, -1, -1, -1, -1, -1, -1, -1, 0,  3,  8,  -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
    -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1
};

#endif