pub const TREE_LUT: [[u8; 3]; 256] = [
[0, 0, 0],
[0, 0, 0],
[0, 0, 0],
[0, 0, 0],
[1, 0, 0],
[1, 1, 1],
[2, 1, 1],
[2, 1, 1],
[3, 2, 1],
[4, 2, 1],
[5, 2, 2],
[6, 3, 2],
[7, 3, 2],
[8, 4, 2],
[9, 4, 3],
[10, 5, 3],
[12, 5, 3],
[13, 6, 3],
[14, 6, 4],
[16, 7, 4],
[17, 7, 4],
[18, 8, 4],
[20, 9, 5],
[21, 9, 5],
[22, 10, 5],
[23, 11, 5],
[25, 11, 6],
[26, 12, 6],
[27, 13, 6],
[29, 14, 6],
[30, 14, 7],
[31, 15, 7],
[32, 15, 7],
[34, 16, 7],
[35, 17, 7],
[36, 17, 8],
[38, 18, 8],
[39, 19, 8],
[40, 19, 8],
[41, 20, 8],
[43, 20, 8],
[44, 21, 8],
[45, 22, 8],
[46, 22, 8],
[48, 23, 8],
[49, 23, 8],
[50, 24, 8],
[51, 25, 8],
[52, 25, 8],
[54, 26, 8],
[55, 26, 8],
[56, 27, 8],
[57, 28, 8],
[59, 28, 8],
[60, 29, 8],
[61, 29, 7],
[62, 30, 7],
[63, 31, 7],
[65, 31, 7],
[66, 32, 6],
[67, 32, 6],
[68, 33, 6],
[69, 34, 6],
[70, 34, 5],
[71, 35, 5],
[72, 36, 4],
[73, 36, 4],
[74, 37, 4],
[75, 38, 3],
[76, 39, 3],
[77, 40, 3],
[78, 40, 2],
[79, 41, 2],
[79, 42, 2],
[80, 43, 2],
[81, 44, 2],
[81, 45, 2],
[82, 46, 2],
[82, 47, 2],
[83, 48, 2],
[83, 49, 2],
[84, 50, 2],
[84, 51, 2],
[85, 52, 3],
[85, 53, 3],
[86, 54, 3],
[86, 55, 4],
[86, 56, 4],
[87, 58, 5],
[87, 59, 6],
[88, 60, 7],
[88, 61, 7],
[88, 62, 8],
[88, 63, 9],
[89, 64, 10],
[89, 65, 11],
[89, 66, 12],
[90, 67, 13],
[90, 68, 14],
[90, 69, 15],
[90, 70, 16],
[91, 71, 17],
[91, 72, 18],
[91, 73, 19],
[91, 75, 21],
[91, 76, 22],
[91, 77, 23],
[92, 78, 24],
[92, 79, 25],
[92, 80, 26],
[92, 81, 27],
[92, 82, 28],
[92, 83, 29],
[92, 84, 30],
[93, 85, 31],
[93, 86, 32],
[93, 87, 34],
[93, 88, 35],
[93, 89, 36],
[93, 90, 37],
[93, 91, 38],
[93, 93, 39],
[93, 94, 40],
[93, 95, 41],
[93, 96, 42],
[93, 97, 43],
[93, 98, 45],
[93, 99, 46],
[93, 100, 47],
[93, 101, 48],
[93, 102, 49],
[93, 103, 50],
[93, 104, 51],
[93, 105, 52],
[93, 106, 53],
[93, 107, 54],
[93, 108, 55],
[93, 109, 57],
[93, 110, 58],
[93, 111, 59],
[93, 113, 60],
[93, 114, 61],
[93, 115, 62],
[93, 116, 63],
[93, 117, 64],
[92, 118, 65],
[92, 119, 66],
[92, 120, 67],
[92, 121, 68],
[92, 122, 69],
[92, 123, 70],
[91, 124, 71],
[91, 125, 72],
[91, 126, 73],
[91, 128, 74],
[90, 129, 75],
[90, 130, 76],
[90, 131, 77],
[90, 132, 78],
[89, 133, 79],
[89, 134, 79],
[88, 135, 80],
[88, 136, 81],
[88, 137, 82],
[87, 139, 83],
[87, 140, 84],
[86, 141, 85],
[86, 142, 85],
[85, 143, 86],
[85, 144, 87],
[84, 145, 88],
[83, 147, 88],
[83, 148, 89],
[82, 149, 90],
[81, 150, 90],
[80, 151, 91],
[80, 152, 91],
[79, 154, 92],
[78, 155, 92],
[77, 156, 93],
[76, 157, 93],
[75, 158, 94],
[74, 160, 94],
[73, 161, 94],
[72, 162, 95],
[71, 163, 95],
[70, 164, 95],
[69, 166, 95],
[67, 167, 96],
[66, 168, 96],
[65, 169, 96],
[64, 171, 96],
[63, 172, 96],
[62, 173, 96],
[60, 174, 96],
[59, 175, 95],
[58, 177, 95],
[57, 178, 95],
[56, 179, 95],
[54, 180, 95],
[53, 181, 94],
[52, 183, 94],
[51, 184, 94],
[50, 185, 93],
[49, 186, 93],
[48, 187, 92],
[47, 189, 92],
[46, 190, 91],
[45, 191, 91],
[44, 192, 90],
[43, 193, 90],
[42, 194, 89],
[42, 196, 89],
[41, 197, 88],
[40, 198, 87],
[39, 199, 87],
[39, 200, 86],
[38, 201, 85],
[38, 203, 84],
[37, 204, 84],
[37, 205, 83],
[36, 206, 82],
[36, 207, 81],
[36, 208, 80],
[36, 210, 79],
[36, 211, 78],
[36, 212, 77],
[36, 213, 76],
[36, 214, 75],
[36, 215, 74],
[36, 217, 73],
[36, 218, 72],
[36, 219, 71],
[37, 220, 70],
[37, 221, 68],
[38, 222, 67],
[38, 224, 65],
[39, 225, 64],
[39, 226, 63],
[40, 227, 61],
[41, 228, 59],
[41, 229, 58],
[42, 231, 56],
[43, 232, 54],
[44, 233, 52],
[45, 234, 50],
[45, 235, 48],
[46, 236, 46],
[47, 238, 43],
[48, 239, 41],
[49, 240, 38],
[50, 241, 35],
[52, 242, 31],
[53, 243, 27],
[54, 245, 23],
[55, 246, 17],
];