------- (12, 1792, 7) ALL distance distributions for EXTERNAL point (7, 1792, 7) has 0 possible DDs: {} (8, 1792, 7) has 1 possible DDs: {[0, 112, 0, 784, 0, 784, 0, 112, 0]} (9, 1792, 7) has 8 possible DDs: {[0, 56, 56, 392, 392, 392, 392, 56, 56, 0], [0, 57, 48, 420, 336, 462, 336, 84, 48, 1], [0, 58, 40, 448, 280, 532, 280, 112, 40, 2], [0, 59, 32, 476, 224, 602, 224, 140, 32, 3], [0, 60, 24, 504, 168, 672, 168, 168, 24, 4], [0, 61, 16, 532, 112, 742, 112, 196, 16, 5], [0, 62, 8, 560, 56, 812, 56, 224, 8, 6], [0, 63, 0, 588, 0, 882, 0, 252, 0, 7]} (10, 1792, 7) has 51 possible DDs: {[0, 23, 96, 84, 672, 42, 672, 84, 96, 23, 0], [0, 24, 88, 112, 616, 112, 616, 112, 88, 24, 0], [0, 24, 89, 104, 644, 56, 686, 56, 116, 16, 1], [0, 24, 90, 96, 672, 0, 756, 0, 144, 8, 2], [0, 25, 80, 140, 560, 182, 560, 140, 80, 25, 0], [0, 25, 81, 132, 588, 126, 630, 84, 108, 17, 1], [0, 25, 82, 124, 616, 70, 700, 28, 136, 9, 2], [0, 26, 72, 168, 504, 252, 504, 168, 72, 26, 0], [0, 26, 73, 160, 532, 196, 574, 112, 100, 18, 1], [0, 26, 74, 152, 560, 140, 644, 56, 128, 10, 2], [0, 26, 75, 144, 588, 84, 714, 0, 156, 2, 3], [0, 27, 64, 196, 448, 322, 448, 196, 64, 27, 0], [0, 27, 65, 188, 476, 266, 518, 140, 92, 19, 1], [0, 27, 66, 180, 504, 210, 588, 84, 120, 11, 2], [0, 27, 67, 172, 532, 154, 658, 28, 148, 3, 3], [0, 28, 56, 224, 392, 392, 392, 224, 56, 28, 0], [0, 28, 57, 216, 420, 336, 462, 168, 84, 20, 1], [0, 28, 58, 208, 448, 280, 532, 112, 112, 12, 2], [0, 28, 59, 200, 476, 224, 602, 56, 140, 4, 3], [0, 29, 48, 252, 336, 462, 336, 252, 48, 29, 0], [0, 29, 49, 244, 364, 406, 406, 196, 76, 21, 1], [0, 29, 50, 236, 392, 350, 476, 140, 104, 13, 2], [0, 29, 51, 228, 420, 294, 546, 84, 132, 5, 3], [0, 30, 40, 280, 280, 532, 280, 280, 40, 30, 0], [0, 30, 41, 272, 308, 476, 350, 224, 68, 22, 1], [0, 30, 42, 264, 336, 420, 420, 168, 96, 14, 2], [0, 30, 43, 256, 364, 364, 490, 112, 124, 6, 3], [0, 31, 32, 308, 224, 602, 224, 308, 32, 31, 0], [0, 31, 33, 300, 252, 546, 294, 252, 60, 23, 1], [0, 31, 34, 292, 280, 490, 364, 196, 88, 15, 2], [0, 31, 35, 284, 308, 434, 434, 140, 116, 7, 3], [0, 32, 24, 336, 168, 672, 168, 336, 24, 32, 0], [0, 32, 25, 328, 196, 616, 238, 280, 52, 24, 1], [0, 32, 26, 320, 224, 560, 308, 224, 80, 16, 2], [0, 32, 27, 312, 252, 504, 378, 168, 108, 8, 3], [0, 32, 28, 304, 280, 448, 448, 112, 136, 0, 4], [0, 33, 16, 364, 112, 742, 112, 364, 16, 33, 0], [0, 33, 17, 356, 140, 686, 182, 308, 44, 25, 1], [0, 33, 18, 348, 168, 630, 252, 252, 72, 17, 2], [0, 33, 19, 340, 196, 574, 322, 196, 100, 9, 3], [0, 33, 20, 332, 224, 518, 392, 140, 128, 1, 4], [0, 34, 8, 392, 56, 812, 56, 392, 8, 34, 0], [0, 34, 9, 384, 84, 756, 126, 336, 36, 26, 1], [0, 34, 10, 376, 112, 700, 196, 280, 64, 18, 2], [0, 34, 11, 368, 140, 644, 266, 224, 92, 10, 3], [0, 34, 12, 360, 168, 588, 336, 168, 120, 2, 4], [0, 35, 0, 420, 0, 882, 0, 420, 0, 35, 0], [0, 35, 1, 412, 28, 826, 70, 364, 28, 27, 1], [0, 35, 2, 404, 56, 770, 140, 308, 56, 19, 2], [0, 35, 3, 396, 84, 714, 210, 252, 84, 11, 3], [0, 35, 4, 388, 112, 658, 280, 196, 112, 3, 4]} (11, 1792, 7) has 287 possible DDs: {[0, 7, 91, 0, 504, 294, 294, 504, 0, 91, 7, 0], [0, 8, 84, 20, 476, 308, 308, 476, 20, 84, 8, 0], [0, 8, 85, 12, 504, 252, 378, 420, 48, 76, 9, 0], [0, 8, 86, 4, 532, 196, 448, 364, 76, 68, 10, 0], [0, 8, 86, 5, 524, 224, 392, 434, 20, 96, 2, 1], [0, 9, 76, 48, 420, 378, 252, 504, 12, 85, 8, 0], [0, 9, 77, 40, 448, 322, 322, 448, 40, 77, 9, 0], [0, 9, 78, 32, 476, 266, 392, 392, 68, 69, 10, 0], [0, 9, 78, 33, 468, 294, 336, 462, 12, 97, 2, 1], [0, 9, 79, 24, 504, 210, 462, 336, 96, 61, 11, 0], [0, 9, 79, 25, 496, 238, 406, 406, 40, 89, 3, 1], [0, 9, 80, 16, 532, 154, 532, 280, 124, 53, 12, 0], [0, 9, 80, 17, 524, 182, 476, 350, 68, 81, 4, 1], [0, 9, 81, 8, 560, 98, 602, 224, 152, 45, 13, 0], [0, 9, 81, 9, 552, 126, 546, 294, 96, 73, 5, 1], [0, 9, 82, 0, 588, 42, 672, 168, 180, 37, 14, 0], [0, 9, 82, 1, 580, 70, 616, 238, 124, 65, 6, 1], [0, 10, 68, 76, 364, 448, 196, 532, 4, 86, 8, 0], [0, 10, 69, 68, 392, 392, 266, 476, 32, 78, 9, 0], [0, 10, 70, 60, 420, 336, 336, 420, 60, 70, 10, 0], [0, 10, 70, 61, 412, 364, 280, 490, 4, 98, 2, 1], [0, 10, 71, 52, 448, 280, 406, 364, 88, 62, 11, 0], [0, 10, 71, 53, 440, 308, 350, 434, 32, 90, 3, 1], [0, 10, 72, 44, 476, 224, 476, 308, 116, 54, 12, 0], [0, 10, 72, 45, 468, 252, 420, 378, 60, 82, 4, 1], [0, 10, 73, 36, 504, 168, 546, 252, 144, 46, 13, 0], [0, 10, 73, 37, 496, 196, 490, 322, 88, 74, 5, 1], [0, 10, 74, 28, 532, 112, 616, 196, 172, 38, 14, 0], [0, 10, 74, 29, 524, 140, 560, 266, 116, 66, 6, 1], [0, 10, 75, 20, 560, 56, 686, 140, 200, 30, 15, 0], [0, 10, 75, 21, 552, 84, 630, 210, 144, 58, 7, 1], [0, 10, 76, 12, 588, 0, 756, 84, 228, 22, 16, 0], [0, 10, 76, 13, 580, 28, 700, 154, 172, 50, 8, 1], [0, 10, 76, 14, 572, 56, 644, 224, 116, 78, 0, 2], [0, 10, 77, 6, 600, 0, 714, 168, 144, 70, 1, 2], [0, 11, 61, 96, 336, 462, 210, 504, 24, 79, 9, 0], [0, 11, 62, 88, 364, 406, 280, 448, 52, 71, 10, 0], [0, 11, 63, 80, 392, 350, 350, 392, 80, 63, 11, 0], [0, 11, 63, 81, 384, 378, 294, 462, 24, 91, 3, 1], [0, 11, 64, 72, 420, 294, 420, 336, 108, 55, 12, 0], [0, 11, 64, 73, 412, 322, 364, 406, 52, 83, 4, 1], [0, 11, 65, 64, 448, 238, 490, 280, 136, 47, 13, 0], [0, 11, 65, 65, 440, 266, 434, 350, 80, 75, 5, 1], [0, 11, 66, 56, 476, 182, 560, 224, 164, 39, 14, 0], [0, 11, 66, 57, 468, 210, 504, 294, 108, 67, 6, 1], [0, 11, 67, 48, 504, 126, 630, 168, 192, 31, 15, 0], [0, 11, 67, 49, 496, 154, 574, 238, 136, 59, 7, 1], [0, 11, 68, 40, 532, 70, 700, 112, 220, 23, 16, 0], [0, 11, 68, 41, 524, 98, 644, 182, 164, 51, 8, 1], [0, 11, 68, 42, 516, 126, 588, 252, 108, 79, 0, 2], [0, 11, 69, 32, 560, 14, 770, 56, 248, 15, 17, 0], [0, 11, 69, 33, 552, 42, 714, 126, 192, 43, 9, 1], [0, 11, 69, 34, 544, 70, 658, 196, 136, 71, 1, 2], [0, 11, 70, 26, 572, 14, 728, 140, 164, 63, 2, 2], [0, 12, 53, 124, 280, 532, 154, 532, 16, 80, 9, 0], [0, 12, 54, 116, 308, 476, 224, 476, 44, 72, 10, 0], [0, 12, 55, 108, 336, 420, 294, 420, 72, 64, 11, 0], [0, 12, 55, 109, 328, 448, 238, 490, 16, 92, 3, 1], [0, 12, 56, 100, 364, 364, 364, 364, 100, 56, 12, 0], [0, 12, 56, 101, 356, 392, 308, 434, 44, 84, 4, 1], [0, 12, 57, 92, 392, 308, 434, 308, 128, 48, 13, 0], [0, 12, 57, 93, 384, 336, 378, 378, 72, 76, 5, 1], [0, 12, 58, 84, 420, 252, 504, 252, 156, 40, 14, 0], [0, 12, 58, 85, 412, 280, 448, 322, 100, 68, 6, 1], [0, 12, 59, 76, 448, 196, 574, 196, 184, 32, 15, 0], [0, 12, 59, 77, 440, 224, 518, 266, 128, 60, 7, 1], [0, 12, 60, 68, 476, 140, 644, 140, 212, 24, 16, 0], [0, 12, 60, 69, 468, 168, 588, 210, 156, 52, 8, 1], [0, 12, 60, 70, 460, 196, 532, 280, 100, 80, 0, 2], [0, 12, 61, 60, 504, 84, 714, 84, 240, 16, 17, 0], [0, 12, 61, 61, 496, 112, 658, 154, 184, 44, 9, 1], [0, 12, 61, 62, 488, 140, 602, 224, 128, 72, 1, 2], [0, 12, 62, 52, 532, 28, 784, 28, 268, 8, 18, 0], [0, 12, 62, 53, 524, 56, 728, 98, 212, 36, 10, 1], [0, 12, 62, 54, 516, 84, 672, 168, 156, 64, 2, 2], [0, 12, 63, 45, 552, 0, 798, 42, 240, 28, 11, 1], [0, 12, 63, 46, 544, 28, 742, 112, 184, 56, 3, 2], [0, 13, 45, 152, 224, 602, 98, 560, 8, 81, 9, 0], [0, 13, 46, 144, 252, 546, 168, 504, 36, 73, 10, 0], [0, 13, 47, 136, 280, 490, 238, 448, 64, 65, 11, 0], [0, 13, 47, 137, 272, 518, 182, 518, 8, 93, 3, 1], [0, 13, 48, 128, 308, 434, 308, 392, 92, 57, 12, 0], [0, 13, 48, 129, 300, 462, 252, 462, 36, 85, 4, 1], [0, 13, 49, 120, 336, 378, 378, 336, 120, 49, 13, 0], [0, 13, 49, 121, 328, 406, 322, 406, 64, 77, 5, 1], [0, 13, 50, 112, 364, 322, 448, 280, 148, 41, 14, 0], [0, 13, 50, 113, 356, 350, 392, 350, 92, 69, 6, 1], [0, 13, 51, 104, 392, 266, 518, 224, 176, 33, 15, 0], [0, 13, 51, 105, 384, 294, 462, 294, 120, 61, 7, 1], [0, 13, 52, 96, 420, 210, 588, 168, 204, 25, 16, 0], [0, 13, 52, 97, 412, 238, 532, 238, 148, 53, 8, 1], [0, 13, 52, 98, 404, 266, 476, 308, 92, 81, 0, 2], [0, 13, 53, 88, 448, 154, 658, 112, 232, 17, 17, 0], [0, 13, 53, 89, 440, 182, 602, 182, 176, 45, 9, 1], [0, 13, 53, 90, 432, 210, 546, 252, 120, 73, 1, 2], [0, 13, 54, 80, 476, 98, 728, 56, 260, 9, 18, 0], [0, 13, 54, 81, 468, 126, 672, 126, 204, 37, 10, 1], [0, 13, 54, 82, 460, 154, 616, 196, 148, 65, 2, 2], [0, 13, 55, 72, 504, 42, 798, 0, 288, 1, 19, 0], [0, 13, 55, 73, 496, 70, 742, 70, 232, 29, 11, 1], [0, 13, 55, 74, 488, 98, 686, 140, 176, 57, 3, 2], [0, 13, 56, 65, 524, 14, 812, 14, 260, 21, 12, 1], [0, 13, 56, 66, 516, 42, 756, 84, 204, 49, 4, 2], [0, 14, 37, 180, 168, 672, 42, 588, 0, 82, 9, 0], [0, 14, 38, 172, 196, 616, 112, 532, 28, 74, 10, 0], [0, 14, 39, 164, 224, 560, 182, 476, 56, 66, 11, 0], [0, 14, 39, 165, 216, 588, 126, 546, 0, 94, 3, 1], [0, 14, 40, 156, 252, 504, 252, 420, 84, 58, 12, 0], [0, 14, 40, 157, 244, 532, 196, 490, 28, 86, 4, 1], [0, 14, 41, 148, 280, 448, 322, 364, 112, 50, 13, 0], [0, 14, 41, 149, 272, 476, 266, 434, 56, 78, 5, 1], [0, 14, 42, 140, 308, 392, 392, 308, 140, 42, 14, 0], [0, 14, 42, 141, 300, 420, 336, 378, 84, 70, 6, 1], [0, 14, 43, 132, 336, 336, 462, 252, 168, 34, 15, 0], [0, 14, 43, 133, 328, 364, 406, 322, 112, 62, 7, 1], [0, 14, 44, 124, 364, 280, 532, 196, 196, 26, 16, 0], [0, 14, 44, 125, 356, 308, 476, 266, 140, 54, 8, 1], [0, 14, 44, 126, 348, 336, 420, 336, 84, 82, 0, 2], [0, 14, 45, 116, 392, 224, 602, 140, 224, 18, 17, 0], [0, 14, 45, 117, 384, 252, 546, 210, 168, 46, 9, 1], [0, 14, 45, 118, 376, 280, 490, 280, 112, 74, 1, 2], [0, 14, 46, 108, 420, 168, 672, 84, 252, 10, 18, 0], [0, 14, 46, 109, 412, 196, 616, 154, 196, 38, 10, 1], [0, 14, 46, 110, 404, 224, 560, 224, 140, 66, 2, 2], [0, 14, 47, 100, 448, 112, 742, 28, 280, 2, 19, 0], [0, 14, 47, 101, 440, 140, 686, 98, 224, 30, 11, 1], [0, 14, 47, 102, 432, 168, 630, 168, 168, 58, 3, 2], [0, 14, 48, 93, 468, 84, 756, 42, 252, 22, 12, 1], [0, 14, 48, 94, 460, 112, 700, 112, 196, 50, 4, 2], [0, 14, 49, 86, 488, 56, 770, 56, 224, 42, 5, 2], [0, 14, 50, 78, 516, 0, 840, 0, 252, 34, 6, 2], [0, 15, 30, 200, 140, 686, 56, 560, 20, 75, 10, 0], [0, 15, 31, 192, 168, 630, 126, 504, 48, 67, 11, 0], [0, 15, 32, 184, 196, 574, 196, 448, 76, 59, 12, 0], [0, 15, 32, 185, 188, 602, 140, 518, 20, 87, 4, 1], [0, 15, 33, 176, 224, 518, 266, 392, 104, 51, 13, 0], [0, 15, 33, 177, 216, 546, 210, 462, 48, 79, 5, 1], [0, 15, 34, 168, 252, 462, 336, 336, 132, 43, 14, 0], [0, 15, 34, 169, 244, 490, 280, 406, 76, 71, 6, 1], [0, 15, 35, 160, 280, 406, 406, 280, 160, 35, 15, 0], [0, 15, 35, 161, 272, 434, 350, 350, 104, 63, 7, 1], [0, 15, 36, 152, 308, 350, 476, 224, 188, 27, 16, 0], [0, 15, 36, 153, 300, 378, 420, 294, 132, 55, 8, 1], [0, 15, 36, 154, 292, 406, 364, 364, 76, 83, 0, 2], [0, 15, 37, 144, 336, 294, 546, 168, 216, 19, 17, 0], [0, 15, 37, 145, 328, 322, 490, 238, 160, 47, 9, 1], [0, 15, 37, 146, 320, 350, 434, 308, 104, 75, 1, 2], [0, 15, 38, 136, 364, 238, 616, 112, 244, 11, 18, 0], [0, 15, 38, 137, 356, 266, 560, 182, 188, 39, 10, 1], [0, 15, 38, 138, 348, 294, 504, 252, 132, 67, 2, 2], [0, 15, 39, 128, 392, 182, 686, 56, 272, 3, 19, 0], [0, 15, 39, 129, 384, 210, 630, 126, 216, 31, 11, 1], [0, 15, 39, 130, 376, 238, 574, 196, 160, 59, 3, 2], [0, 15, 40, 121, 412, 154, 700, 70, 244, 23, 12, 1], [0, 15, 40, 122, 404, 182, 644, 140, 188, 51, 4, 2], [0, 15, 41, 113, 440, 98, 770, 14, 272, 15, 13, 1], [0, 15, 41, 114, 432, 126, 714, 84, 216, 43, 5, 2], [0, 15, 42, 106, 460, 70, 784, 28, 244, 35, 6, 2], [0, 16, 22, 228, 84, 756, 0, 588, 12, 76, 10, 0], [0, 16, 23, 220, 112, 700, 70, 532, 40, 68, 11, 0], [0, 16, 24, 212, 140, 644, 140, 476, 68, 60, 12, 0], [0, 16, 24, 213, 132, 672, 84, 546, 12, 88, 4, 1], [0, 16, 25, 204, 168, 588, 210, 420, 96, 52, 13, 0], [0, 16, 25, 205, 160, 616, 154, 490, 40, 80, 5, 1], [0, 16, 26, 196, 196, 532, 280, 364, 124, 44, 14, 0], [0, 16, 26, 197, 188, 560, 224, 434, 68, 72, 6, 1], [0, 16, 27, 188, 224, 476, 350, 308, 152, 36, 15, 0], [0, 16, 27, 189, 216, 504, 294, 378, 96, 64, 7, 1], [0, 16, 28, 180, 252, 420, 420, 252, 180, 28, 16, 0], [0, 16, 28, 181, 244, 448, 364, 322, 124, 56, 8, 1], [0, 16, 28, 182, 236, 476, 308, 392, 68, 84, 0, 2], [0, 16, 29, 172, 280, 364, 490, 196, 208, 20, 17, 0], [0, 16, 29, 173, 272, 392, 434, 266, 152, 48, 9, 1], [0, 16, 29, 174, 264, 420, 378, 336, 96, 76, 1, 2], [0, 16, 30, 164, 308, 308, 560, 140, 236, 12, 18, 0], [0, 16, 30, 165, 300, 336, 504, 210, 180, 40, 10, 1], [0, 16, 30, 166, 292, 364, 448, 280, 124, 68, 2, 2], [0, 16, 31, 156, 336, 252, 630, 84, 264, 4, 19, 0], [0, 16, 31, 157, 328, 280, 574, 154, 208, 32, 11, 1], [0, 16, 31, 158, 320, 308, 518, 224, 152, 60, 3, 2], [0, 16, 32, 149, 356, 224, 644, 98, 236, 24, 12, 1], [0, 16, 32, 150, 348, 252, 588, 168, 180, 52, 4, 2], [0, 16, 33, 141, 384, 168, 714, 42, 264, 16, 13, 1], [0, 16, 33, 142, 376, 196, 658, 112, 208, 44, 5, 2], [0, 16, 34, 134, 404, 140, 728, 56, 236, 36, 6, 2], [0, 16, 35, 126, 432, 84, 798, 0, 264, 28, 7, 2], [0, 16, 36, 119, 452, 56, 812, 14, 236, 48, 0, 3], [0, 17, 15, 248, 56, 770, 14, 560, 32, 69, 11, 0], [0, 17, 16, 240, 84, 714, 84, 504, 60, 61, 12, 0], [0, 17, 16, 241, 76, 742, 28, 574, 4, 89, 4, 1], [0, 17, 17, 232, 112, 658, 154, 448, 88, 53, 13, 0], [0, 17, 17, 233, 104, 686, 98, 518, 32, 81, 5, 1], [0, 17, 18, 224, 140, 602, 224, 392, 116, 45, 14, 0], [0, 17, 18, 225, 132, 630, 168, 462, 60, 73, 6, 1], [0, 17, 19, 216, 168, 546, 294, 336, 144, 37, 15, 0], [0, 17, 19, 217, 160, 574, 238, 406, 88, 65, 7, 1], [0, 17, 20, 208, 196, 490, 364, 280, 172, 29, 16, 0], [0, 17, 20, 209, 188, 518, 308, 350, 116, 57, 8, 1], [0, 17, 20, 210, 180, 546, 252, 420, 60, 85, 0, 2], [0, 17, 21, 200, 224, 434, 434, 224, 200, 21, 17, 0], [0, 17, 21, 201, 216, 462, 378, 294, 144, 49, 9, 1], [0, 17, 21, 202, 208, 490, 322, 364, 88, 77, 1, 2], [0, 17, 22, 192, 252, 378, 504, 168, 228, 13, 18, 0], [0, 17, 22, 193, 244, 406, 448, 238, 172, 41, 10, 1], [0, 17, 22, 194, 236, 434, 392, 308, 116, 69, 2, 2], [0, 17, 23, 184, 280, 322, 574, 112, 256, 5, 19, 0], [0, 17, 23, 185, 272, 350, 518, 182, 200, 33, 11, 1], [0, 17, 23, 186, 264, 378, 462, 252, 144, 61, 3, 2], [0, 17, 24, 177, 300, 294, 588, 126, 228, 25, 12, 1], [0, 17, 24, 178, 292, 322, 532, 196, 172, 53, 4, 2], [0, 17, 25, 169, 328, 238, 658, 70, 256, 17, 13, 1], [0, 17, 25, 170, 320, 266, 602, 140, 200, 45, 5, 2], [0, 17, 26, 161, 356, 182, 728, 14, 284, 9, 14, 1], [0, 17, 26, 162, 348, 210, 672, 84, 228, 37, 6, 2], [0, 17, 27, 154, 376, 154, 742, 28, 256, 29, 7, 2], [0, 17, 28, 147, 396, 126, 756, 42, 228, 49, 0, 3], [0, 18, 8, 268, 28, 784, 28, 532, 52, 62, 12, 0], [0, 18, 9, 260, 56, 728, 98, 476, 80, 54, 13, 0], [0, 18, 9, 261, 48, 756, 42, 546, 24, 82, 5, 1], [0, 18, 10, 252, 84, 672, 168, 420, 108, 46, 14, 0], [0, 18, 10, 253, 76, 700, 112, 490, 52, 74, 6, 1], [0, 18, 11, 244, 112, 616, 238, 364, 136, 38, 15, 0], [0, 18, 11, 245, 104, 644, 182, 434, 80, 66, 7, 1], [0, 18, 12, 236, 140, 560, 308, 308, 164, 30, 16, 0], [0, 18, 12, 237, 132, 588, 252, 378, 108, 58, 8, 1], [0, 18, 12, 238, 124, 616, 196, 448, 52, 86, 0, 2], [0, 18, 13, 228, 168, 504, 378, 252, 192, 22, 17, 0], [0, 18, 13, 229, 160, 532, 322, 322, 136, 50, 9, 1], [0, 18, 13, 230, 152, 560, 266, 392, 80, 78, 1, 2], [0, 18, 14, 220, 196, 448, 448, 196, 220, 14, 18, 0], [0, 18, 14, 221, 188, 476, 392, 266, 164, 42, 10, 1], [0, 18, 14, 222, 180, 504, 336, 336, 108, 70, 2, 2], [0, 18, 15, 212, 224, 392, 518, 140, 248, 6, 19, 0], [0, 18, 15, 213, 216, 420, 462, 210, 192, 34, 11, 1], [0, 18, 15, 214, 208, 448, 406, 280, 136, 62, 3, 2], [0, 18, 16, 205, 244, 364, 532, 154, 220, 26, 12, 1], [0, 18, 16, 206, 236, 392, 476, 224, 164, 54, 4, 2], [0, 18, 17, 197, 272, 308, 602, 98, 248, 18, 13, 1], [0, 18, 17, 198, 264, 336, 546, 168, 192, 46, 5, 2], [0, 18, 18, 189, 300, 252, 672, 42, 276, 10, 14, 1], [0, 18, 18, 190, 292, 280, 616, 112, 220, 38, 6, 2], [0, 18, 19, 182, 320, 224, 686, 56, 248, 30, 7, 2], [0, 18, 20, 174, 348, 168, 756, 0, 276, 22, 8, 2], [0, 18, 20, 175, 340, 196, 700, 70, 220, 50, 0, 3], [0, 18, 21, 167, 368, 140, 770, 14, 248, 42, 1, 3], [0, 19, 1, 288, 0, 798, 42, 504, 72, 55, 13, 0], [0, 19, 2, 280, 28, 742, 112, 448, 100, 47, 14, 0], [0, 19, 2, 281, 20, 770, 56, 518, 44, 75, 6, 1], [0, 19, 3, 272, 56, 686, 182, 392, 128, 39, 15, 0], [0, 19, 3, 273, 48, 714, 126, 462, 72, 67, 7, 1], [0, 19, 4, 264, 84, 630, 252, 336, 156, 31, 16, 0], [0, 19, 4, 265, 76, 658, 196, 406, 100, 59, 8, 1], [0, 19, 4, 266, 68, 686, 140, 476, 44, 87, 0, 2], [0, 19, 5, 256, 112, 574, 322, 280, 184, 23, 17, 0], [0, 19, 5, 257, 104, 602, 266, 350, 128, 51, 9, 1], [0, 19, 5, 258, 96, 630, 210, 420, 72, 79, 1, 2], [0, 19, 6, 248, 140, 518, 392, 224, 212, 15, 18, 0], [0, 19, 6, 249, 132, 546, 336, 294, 156, 43, 10, 1], [0, 19, 6, 250, 124, 574, 280, 364, 100, 71, 2, 2], [0, 19, 7, 240, 168, 462, 462, 168, 240, 7, 19, 0], [0, 19, 7, 241, 160, 490, 406, 238, 184, 35, 11, 1], [0, 19, 7, 242, 152, 518, 350, 308, 128, 63, 3, 2], [0, 19, 8, 233, 188, 434, 476, 182, 212, 27, 12, 1], [0, 19, 8, 234, 180, 462, 420, 252, 156, 55, 4, 2], [0, 19, 9, 225, 216, 378, 546, 126, 240, 19, 13, 1], [0, 19, 9, 226, 208, 406, 490, 196, 184, 47, 5, 2], [0, 19, 10, 217, 244, 322, 616, 70, 268, 11, 14, 1], [0, 19, 10, 218, 236, 350, 560, 140, 212, 39, 6, 2], [0, 19, 11, 209, 272, 266, 686, 14, 296, 3, 15, 1], [0, 19, 11, 210, 264, 294, 630, 84, 240, 31, 7, 2], [0, 19, 12, 202, 292, 238, 700, 28, 268, 23, 8, 2], [0, 19, 12, 203, 284, 266, 644, 98, 212, 51, 0, 3], [0, 19, 13, 195, 312, 210, 714, 42, 240, 43, 1, 3], [0, 20, 0, 260, 140, 476, 476, 140, 260, 0, 20, 0], [0, 20, 0, 261, 132, 504, 420, 210, 204, 28, 12, 1], [0, 20, 0, 262, 124, 532, 364, 280, 148, 56, 4, 2], [0, 20, 1, 253, 160, 448, 490, 154, 232, 20, 13, 1], [0, 20, 1, 254, 152, 476, 434, 224, 176, 48, 5, 2], [0, 20, 2, 245, 188, 392, 560, 98, 260, 12, 14, 1], [0, 20, 2, 246, 180, 420, 504, 168, 204, 40, 6, 2], [0, 20, 3, 237, 216, 336, 630, 42, 288, 4, 15, 1], [0, 20, 3, 238, 208, 364, 574, 112, 232, 32, 7, 2], [0, 20, 4, 230, 236, 308, 644, 56, 260, 24, 8, 2], [0, 20, 4, 231, 228, 336, 588, 126, 204, 52, 0, 3], [0, 20, 5, 222, 264, 252, 714, 0, 288, 16, 9, 2], [0, 20, 5, 223, 256, 280, 658, 70, 232, 44, 1, 3], [0, 20, 6, 215, 284, 224, 728, 14, 260, 36, 2, 3]} (12, 1792, 7) has 1480 possible DDs: {[0, 0, 68, 16, 224, 560, 56, 560, 224, 16, 68, 0, 0], [0, 0, 68, 17, 216, 588, 0, 630, 168, 44, 60, 1, 0], [0, 0, 69, 8, 252, 504, 126, 504, 252, 8, 69, 0, 0], [0, 0, 69, 9, 244, 532, 70, 574, 196, 36, 61, 1, 0], [0, 0, 69, 10, 236, 560, 14, 644, 140, 64, 53, 2, 0], [0, 0, 70, 0, 280, 448, 196, 448, 280, 0, 70, 0, 0], [0, 0, 70, 1, 272, 476, 140, 518, 224, 28, 62, 1, 0], [0, 0, 70, 2, 264, 504, 84, 588, 168, 56, 54, 2, 0], [0, 0, 70, 3, 256, 532, 28, 658, 112, 84, 46, 3, 0], [0, 1, 60, 44, 168, 630, 0, 588, 216, 17, 68, 0, 0], [0, 1, 61, 36, 196, 574, 70, 532, 244, 9, 69, 0, 0], [0, 1, 61, 37, 188, 602, 14, 602, 188, 37, 61, 1, 0], [0, 1, 62, 28, 224, 518, 140, 476, 272, 1, 70, 0, 0], [0, 1, 62, 29, 216, 546, 84, 546, 216, 29, 62, 1, 0], [0, 1, 62, 30, 208, 574, 28, 616, 160, 57, 54, 2, 0], [0, 1, 63, 21, 244, 490, 154, 490, 244, 21, 63, 1, 0], [0, 1, 63, 22, 236, 518, 98, 560, 188, 49, 55, 2, 0], [0, 1, 63, 23, 228, 546, 42, 630, 132, 77, 47, 3, 0], [0, 1, 64, 13, 272, 434, 224, 434, 272, 13, 64, 1, 0], [0, 1, 64, 14, 264, 462, 168, 504, 216, 41, 56, 2, 0], [0, 1, 64, 15, 256, 490, 112, 574, 160, 69, 48, 3, 0], [0, 1, 64, 16, 248, 518, 56, 644, 104, 97, 40, 4, 0], [0, 1, 64, 17, 240, 546, 0, 714, 48, 125, 32, 5, 0], [0, 1, 65, 5, 300, 378, 294, 378, 300, 5, 65, 1, 0], [0, 1, 65, 6, 292, 406, 238, 448, 244, 33, 57, 2, 0], [0, 1, 65, 7, 284, 434, 182, 518, 188, 61, 49, 3, 0], [0, 1, 65, 8, 276, 462, 126, 588, 132, 89, 41, 4, 0], [0, 1, 65, 9, 268, 490, 70, 658, 76, 117, 33, 5, 0], [0, 1, 65, 10, 260, 518, 14, 728, 20, 145, 25, 6, 0], [0, 1, 66, 0, 304, 406, 196, 532, 160, 81, 42, 4, 0], [0, 1, 66, 1, 296, 434, 140, 602, 104, 109, 34, 5, 0], [0, 1, 66, 2, 288, 462, 84, 672, 48, 137, 26, 6, 0], [0, 1, 66, 4, 273, 510, 0, 756, 6, 137, 38, 0, 1], [0, 2, 53, 64, 140, 644, 14, 560, 236, 10, 69, 0, 0], [0, 2, 54, 56, 168, 588, 84, 504, 264, 2, 70, 0, 0], [0, 2, 54, 57, 160, 616, 28, 574, 208, 30, 62, 1, 0], [0, 2, 55, 49, 188, 560, 98, 518, 236, 22, 63, 1, 0], [0, 2, 55, 50, 180, 588, 42, 588, 180, 50, 55, 2, 0], [0, 2, 56, 41, 216, 504, 168, 462, 264, 14, 64, 1, 0], [0, 2, 56, 42, 208, 532, 112, 532, 208, 42, 56, 2, 0], [0, 2, 56, 43, 200, 560, 56, 602, 152, 70, 48, 3, 0], [0, 2, 56, 44, 192, 588, 0, 672, 96, 98, 40, 4, 0], [0, 2, 57, 33, 244, 448, 238, 406, 292, 6, 65, 1, 0], [0, 2, 57, 34, 236, 476, 182, 476, 236, 34, 57, 2, 0], [0, 2, 57, 35, 228, 504, 126, 546, 180, 62, 49, 3, 0], [0, 2, 57, 36, 220, 532, 70, 616, 124, 90, 41, 4, 0], [0, 2, 57, 37, 212, 560, 14, 686, 68, 118, 33, 5, 0], [0, 2, 58, 26, 264, 420, 252, 420, 264, 26, 58, 2, 0], [0, 2, 58, 27, 256, 448, 196, 490, 208, 54, 50, 3, 0], [0, 2, 58, 28, 248, 476, 140, 560, 152, 82, 42, 4, 0], [0, 2, 58, 29, 240, 504, 84, 630, 96, 110, 34, 5, 0], [0, 2, 58, 30, 232, 532, 28, 700, 40, 138, 26, 6, 0], [0, 2, 59, 18, 292, 364, 322, 364, 292, 18, 59, 2, 0], [0, 2, 59, 19, 284, 392, 266, 434, 236, 46, 51, 3, 0], [0, 2, 59, 20, 276, 420, 210, 504, 180, 74, 43, 4, 0], [0, 2, 59, 21, 268, 448, 154, 574, 124, 102, 35, 5, 0], [0, 2, 59, 22, 260, 476, 98, 644, 68, 130, 27, 6, 0], [0, 2, 59, 23, 252, 504, 42, 714, 12, 158, 19, 7, 0], [0, 2, 59, 24, 245, 524, 14, 728, 26, 130, 39, 0, 1], [0, 2, 60, 10, 320, 308, 392, 308, 320, 10, 60, 2, 0], [0, 2, 60, 11, 312, 336, 336, 378, 264, 38, 52, 3, 0], [0, 2, 60, 12, 304, 364, 280, 448, 208, 66, 44, 4, 0], [0, 2, 60, 13, 296, 392, 224, 518, 152, 94, 36, 5, 0], [0, 2, 60, 14, 288, 420, 168, 588, 96, 122, 28, 6, 0], [0, 2, 60, 15, 280, 448, 112, 658, 40, 150, 20, 7, 0], [0, 2, 60, 16, 273, 468, 84, 672, 54, 122, 40, 0, 1], [0, 2, 61, 2, 348, 252, 462, 252, 348, 2, 61, 2, 0], [0, 2, 61, 3, 340, 280, 406, 322, 292, 30, 53, 3, 0], [0, 2, 61, 4, 332, 308, 350, 392, 236, 58, 45, 4, 0], [0, 2, 61, 5, 324, 336, 294, 462, 180, 86, 37, 5, 0], [0, 2, 61, 6, 316, 364, 238, 532, 124, 114, 29, 6, 0], [0, 2, 61, 7, 308, 392, 182, 602, 68, 142, 21, 7, 0], [0, 2, 61, 8, 300, 420, 126, 672, 12, 170, 13, 8, 0], [0, 2, 61, 8, 301, 412, 154, 616, 82, 114, 41, 0, 1], [0, 2, 61, 9, 293, 440, 98, 686, 26, 142, 33, 1, 1], [0, 2, 62, 0, 328, 364, 196, 616, 40, 162, 14, 8, 0], [0, 2, 62, 0, 329, 356, 224, 560, 110, 106, 42, 0, 1], [0, 2, 62, 1, 321, 384, 168, 630, 54, 134, 34, 1, 1], [0, 3, 46, 84, 112, 658, 28, 532, 256, 3, 70, 0, 0], [0, 3, 47, 77, 132, 630, 42, 546, 228, 23, 63, 1, 0], [0, 3, 48, 69, 160, 574, 112, 490, 256, 15, 64, 1, 0], [0, 3, 48, 70, 152, 602, 56, 560, 200, 43, 56, 2, 0], [0, 3, 48, 71, 144, 630, 0, 630, 144, 71, 48, 3, 0], [0, 3, 49, 61, 188, 518, 182, 434, 284, 7, 65, 1, 0], [0, 3, 49, 62, 180, 546, 126, 504, 228, 35, 57, 2, 0], [0, 3, 49, 63, 172, 574, 70, 574, 172, 63, 49, 3, 0], [0, 3, 49, 64, 164, 602, 14, 644, 116, 91, 41, 4, 0], [0, 3, 50, 54, 208, 490, 196, 448, 256, 27, 58, 2, 0], [0, 3, 50, 55, 200, 518, 140, 518, 200, 55, 50, 3, 0], [0, 3, 50, 56, 192, 546, 84, 588, 144, 83, 42, 4, 0], [0, 3, 50, 57, 184, 574, 28, 658, 88, 111, 34, 5, 0], [0, 3, 51, 46, 236, 434, 266, 392, 284, 19, 59, 2, 0], [0, 3, 51, 47, 228, 462, 210, 462, 228, 47, 51, 3, 0], [0, 3, 51, 48, 220, 490, 154, 532, 172, 75, 43, 4, 0], [0, 3, 51, 49, 212, 518, 98, 602, 116, 103, 35, 5, 0], [0, 3, 51, 50, 204, 546, 42, 672, 60, 131, 27, 6, 0], [0, 3, 52, 38, 264, 378, 336, 336, 312, 11, 60, 2, 0], [0, 3, 52, 39, 256, 406, 280, 406, 256, 39, 52, 3, 0], [0, 3, 52, 40, 248, 434, 224, 476, 200, 67, 44, 4, 0], [0, 3, 52, 41, 240, 462, 168, 546, 144, 95, 36, 5, 0], [0, 3, 52, 42, 232, 490, 112, 616, 88, 123, 28, 6, 0], [0, 3, 52, 43, 224, 518, 56, 686, 32, 151, 20, 7, 0], [0, 3, 52, 44, 217, 538, 28, 700, 46, 123, 40, 0, 1], [0, 3, 53, 30, 292, 322, 406, 280, 340, 3, 61, 2, 0], [0, 3, 53, 31, 284, 350, 350, 350, 284, 31, 53, 3, 0], [0, 3, 53, 32, 276, 378, 294, 420, 228, 59, 45, 4, 0], [0, 3, 53, 33, 268, 406, 238, 490, 172, 87, 37, 5, 0], [0, 3, 53, 34, 260, 434, 182, 560, 116, 115, 29, 6, 0], [0, 3, 53, 35, 252, 462, 126, 630, 60, 143, 21, 7, 0], [0, 3, 53, 36, 244, 490, 70, 700, 4, 171, 13, 8, 0], [0, 3, 53, 36, 245, 482, 98, 644, 74, 115, 41, 0, 1], [0, 3, 53, 37, 237, 510, 42, 714, 18, 143, 33, 1, 1], [0, 3, 54, 23, 312, 294, 420, 294, 312, 23, 54, 3, 0], [0, 3, 54, 24, 304, 322, 364, 364, 256, 51, 46, 4, 0], [0, 3, 54, 25, 296, 350, 308, 434, 200, 79, 38, 5, 0], [0, 3, 54, 26, 288, 378, 252, 504, 144, 107, 30, 6, 0], [0, 3, 54, 27, 280, 406, 196, 574, 88, 135, 22, 7, 0], [0, 3, 54, 28, 272, 434, 140, 644, 32, 163, 14, 8, 0], [0, 3, 54, 28, 273, 426, 168, 588, 102, 107, 42, 0, 1], [0, 3, 54, 29, 265, 454, 112, 658, 46, 135, 34, 1, 1], [0, 3, 55, 15, 340, 238, 490, 238, 340, 15, 55, 3, 0], [0, 3, 55, 16, 332, 266, 434, 308, 284, 43, 47, 4, 0], [0, 3, 55, 17, 324, 294, 378, 378, 228, 71, 39, 5, 0], [0, 3, 55, 18, 316, 322, 322, 448, 172, 99, 31, 6, 0], [0, 3, 55, 19, 308, 350, 266, 518, 116, 127, 23, 7, 0], [0, 3, 55, 20, 300, 378, 210, 588, 60, 155, 15, 8, 0], [0, 3, 55, 20, 301, 370, 238, 532, 130, 99, 43, 0, 1], [0, 3, 55, 21, 292, 406, 154, 658, 4, 183, 7, 9, 0], [0, 3, 55, 21, 293, 398, 182, 602, 74, 127, 35, 1, 1], [0, 3, 55, 22, 285, 426, 126, 672, 18, 155, 27, 2, 1], [0, 3, 56, 7, 368, 182, 560, 182, 368, 7, 56, 3, 0], [0, 3, 56, 8, 360, 210, 504, 252, 312, 35, 48, 4, 0], [0, 3, 56, 9, 352, 238, 448, 322, 256, 63, 40, 5, 0], [0, 3, 56, 10, 344, 266, 392, 392, 200, 91, 32, 6, 0], [0, 3, 56, 11, 336, 294, 336, 462, 144, 119, 24, 7, 0], [0, 3, 56, 12, 328, 322, 280, 532, 88, 147, 16, 8, 0], [0, 3, 56, 12, 329, 314, 308, 476, 158, 91, 44, 0, 1], [0, 3, 56, 13, 320, 350, 224, 602, 32, 175, 8, 9, 0], [0, 3, 56, 13, 321, 342, 252, 546, 102, 119, 36, 1, 1], [0, 3, 56, 14, 313, 370, 196, 616, 46, 147, 28, 2, 1], [0, 3, 57, 0, 388, 154, 574, 196, 340, 27, 49, 4, 0], [0, 3, 57, 1, 380, 182, 518, 266, 284, 55, 41, 5, 0], [0, 3, 57, 2, 372, 210, 462, 336, 228, 83, 33, 6, 0], [0, 3, 57, 3, 364, 238, 406, 406, 172, 111, 25, 7, 0], [0, 3, 57, 4, 356, 266, 350, 476, 116, 139, 17, 8, 0], [0, 3, 57, 4, 357, 258, 378, 420, 186, 83, 45, 0, 1], [0, 3, 57, 5, 348, 294, 294, 546, 60, 167, 9, 9, 0], [0, 3, 57, 5, 349, 286, 322, 490, 130, 111, 37, 1, 1], [0, 3, 57, 6, 340, 322, 238, 616, 4, 195, 1, 10, 0], [0, 3, 57, 6, 341, 314, 266, 560, 74, 139, 29, 2, 1], [0, 3, 57, 7, 333, 342, 210, 630, 18, 167, 21, 3, 1], [0, 4, 40, 97, 104, 644, 56, 518, 248, 16, 64, 1, 0], [0, 4, 40, 98, 96, 672, 0, 588, 192, 44, 56, 2, 0], [0, 4, 41, 89, 132, 588, 126, 462, 276, 8, 65, 1, 0], [0, 4, 41, 90, 124, 616, 70, 532, 220, 36, 57, 2, 0], [0, 4, 41, 91, 116, 644, 14, 602, 164, 64, 49, 3, 0], [0, 4, 42, 81, 160, 532, 196, 406, 304, 0, 66, 1, 0], [0, 4, 42, 82, 152, 560, 140, 476, 248, 28, 58, 2, 0], [0, 4, 42, 83, 144, 588, 84, 546, 192, 56, 50, 3, 0], [0, 4, 42, 84, 136, 616, 28, 616, 136, 84, 42, 4, 0], [0, 4, 43, 74, 180, 504, 210, 420, 276, 20, 59, 2, 0], [0, 4, 43, 75, 172, 532, 154, 490, 220, 48, 51, 3, 0], [0, 4, 43, 76, 164, 560, 98, 560, 164, 76, 43, 4, 0], [0, 4, 43, 77, 156, 588, 42, 630, 108, 104, 35, 5, 0], [0, 4, 44, 66, 208, 448, 280, 364, 304, 12, 60, 2, 0], [0, 4, 44, 67, 200, 476, 224, 434, 248, 40, 52, 3, 0], [0, 4, 44, 68, 192, 504, 168, 504, 192, 68, 44, 4, 0], [0, 4, 44, 69, 184, 532, 112, 574, 136, 96, 36, 5, 0], [0, 4, 44, 70, 176, 560, 56, 644, 80, 124, 28, 6, 0], [0, 4, 44, 71, 168, 588, 0, 714, 24, 152, 20, 7, 0], [0, 4, 45, 58, 236, 392, 350, 308, 332, 4, 61, 2, 0], [0, 4, 45, 59, 228, 420, 294, 378, 276, 32, 53, 3, 0], [0, 4, 45, 60, 220, 448, 238, 448, 220, 60, 45, 4, 0], [0, 4, 45, 61, 212, 476, 182, 518, 164, 88, 37, 5, 0], [0, 4, 45, 62, 204, 504, 126, 588, 108, 116, 29, 6, 0], [0, 4, 45, 63, 196, 532, 70, 658, 52, 144, 21, 7, 0], [0, 4, 45, 64, 189, 552, 42, 672, 66, 116, 41, 0, 1], [0, 4, 46, 51, 256, 364, 364, 322, 304, 24, 54, 3, 0], [0, 4, 46, 52, 248, 392, 308, 392, 248, 52, 46, 4, 0], [0, 4, 46, 53, 240, 420, 252, 462, 192, 80, 38, 5, 0], [0, 4, 46, 54, 232, 448, 196, 532, 136, 108, 30, 6, 0], [0, 4, 46, 55, 224, 476, 140, 602, 80, 136, 22, 7, 0], [0, 4, 46, 56, 216, 504, 84, 672, 24, 164, 14, 8, 0], [0, 4, 46, 56, 217, 496, 112, 616, 94, 108, 42, 0, 1], [0, 4, 46, 57, 209, 524, 56, 686, 38, 136, 34, 1, 1], [0, 4, 47, 43, 284, 308, 434, 266, 332, 16, 55, 3, 0], [0, 4, 47, 44, 276, 336, 378, 336, 276, 44, 47, 4, 0], [0, 4, 47, 45, 268, 364, 322, 406, 220, 72, 39, 5, 0], [0, 4, 47, 46, 260, 392, 266, 476, 164, 100, 31, 6, 0], [0, 4, 47, 47, 252, 420, 210, 546, 108, 128, 23, 7, 0], [0, 4, 47, 48, 244, 448, 154, 616, 52, 156, 15, 8, 0], [0, 4, 47, 48, 245, 440, 182, 560, 122, 100, 43, 0, 1], [0, 4, 47, 49, 237, 468, 126, 630, 66, 128, 35, 1, 1], [0, 4, 47, 50, 229, 496, 70, 700, 10, 156, 27, 2, 1], [0, 4, 48, 35, 312, 252, 504, 210, 360, 8, 56, 3, 0], [0, 4, 48, 36, 304, 280, 448, 280, 304, 36, 48, 4, 0], [0, 4, 48, 37, 296, 308, 392, 350, 248, 64, 40, 5, 0], [0, 4, 48, 38, 288, 336, 336, 420, 192, 92, 32, 6, 0], [0, 4, 48, 39, 280, 364, 280, 490, 136, 120, 24, 7, 0], [0, 4, 48, 40, 272, 392, 224, 560, 80, 148, 16, 8, 0], [0, 4, 48, 40, 273, 384, 252, 504, 150, 92, 44, 0, 1], [0, 4, 48, 41, 264, 420, 168, 630, 24, 176, 8, 9, 0], [0, 4, 48, 41, 265, 412, 196, 574, 94, 120, 36, 1, 1], [0, 4, 48, 42, 257, 440, 140, 644, 38, 148, 28, 2, 1], [0, 4, 49, 27, 340, 196, 574, 154, 388, 0, 57, 3, 0], [0, 4, 49, 28, 332, 224, 518, 224, 332, 28, 49, 4, 0], [0, 4, 49, 29, 324, 252, 462, 294, 276, 56, 41, 5, 0], [0, 4, 49, 30, 316, 280, 406, 364, 220, 84, 33, 6, 0], [0, 4, 49, 31, 308, 308, 350, 434, 164, 112, 25, 7, 0], [0, 4, 49, 32, 300, 336, 294, 504, 108, 140, 17, 8, 0], [0, 4, 49, 32, 301, 328, 322, 448, 178, 84, 45, 0, 1], [0, 4, 49, 33, 292, 364, 238, 574, 52, 168, 9, 9, 0], [0, 4, 49, 33, 293, 356, 266, 518, 122, 112, 37, 1, 1], [0, 4, 49, 34, 285, 384, 210, 588, 66, 140, 29, 2, 1], [0, 4, 49, 35, 277, 412, 154, 658, 10, 168, 21, 3, 1], [0, 4, 50, 20, 360, 168, 588, 168, 360, 20, 50, 4, 0], [0, 4, 50, 21, 352, 196, 532, 238, 304, 48, 42, 5, 0], [0, 4, 50, 22, 344, 224, 476, 308, 248, 76, 34, 6, 0], [0, 4, 50, 23, 336, 252, 420, 378, 192, 104, 26, 7, 0], [0, 4, 50, 24, 328, 280, 364, 448, 136, 132, 18, 8, 0], [0, 4, 50, 24, 329, 272, 392, 392, 206, 76, 46, 0, 1], [0, 4, 50, 25, 320, 308, 308, 518, 80, 160, 10, 9, 0], [0, 4, 50, 25, 321, 300, 336, 462, 150, 104, 38, 1, 1], [0, 4, 50, 26, 312, 336, 252, 588, 24, 188, 2, 10, 0], [0, 4, 50, 26, 313, 328, 280, 532, 94, 132, 30, 2, 1], [0, 4, 50, 27, 305, 356, 224, 602, 38, 160, 22, 3, 1], [0, 4, 51, 12, 388, 112, 658, 112, 388, 12, 51, 4, 0], [0, 4, 51, 13, 380, 140, 602, 182, 332, 40, 43, 5, 0], [0, 4, 51, 14, 372, 168, 546, 252, 276, 68, 35, 6, 0], [0, 4, 51, 15, 364, 196, 490, 322, 220, 96, 27, 7, 0], [0, 4, 51, 16, 356, 224, 434, 392, 164, 124, 19, 8, 0], [0, 4, 51, 16, 357, 216, 462, 336, 234, 68, 47, 0, 1], [0, 4, 51, 17, 348, 252, 378, 462, 108, 152, 11, 9, 0], [0, 4, 51, 17, 349, 244, 406, 406, 178, 96, 39, 1, 1], [0, 4, 51, 18, 340, 280, 322, 532, 52, 180, 3, 10, 0], [0, 4, 51, 18, 341, 272, 350, 476, 122, 124, 31, 2, 1], [0, 4, 51, 19, 333, 300, 294, 546, 66, 152, 23, 3, 1], [0, 4, 51, 20, 325, 328, 238, 616, 10, 180, 15, 4, 1], [0, 4, 52, 4, 416, 56, 728, 56, 416, 4, 52, 4, 0], [0, 4, 52, 5, 408, 84, 672, 126, 360, 32, 44, 5, 0], [0, 4, 52, 6, 400, 112, 616, 196, 304, 60, 36, 6, 0], [0, 4, 52, 7, 392, 140, 560, 266, 248, 88, 28, 7, 0], [0, 4, 52, 8, 384, 168, 504, 336, 192, 116, 20, 8, 0], [0, 4, 52, 8, 385, 160, 532, 280, 262, 60, 48, 0, 1], [0, 4, 52, 9, 376, 196, 448, 406, 136, 144, 12, 9, 0], [0, 4, 52, 9, 377, 188, 476, 350, 206, 88, 40, 1, 1], [0, 4, 52, 10, 368, 224, 392, 476, 80, 172, 4, 10, 0], [0, 4, 52, 10, 369, 216, 420, 420, 150, 116, 32, 2, 1], [0, 4, 52, 11, 361, 244, 364, 490, 94, 144, 24, 3, 1], [0, 4, 52, 12, 353, 272, 308, 560, 38, 172, 16, 4, 1], [0, 4, 53, 0, 412, 112, 574, 280, 220, 108, 21, 8, 0], [0, 4, 53, 0, 413, 104, 602, 224, 290, 52, 49, 0, 1], [0, 4, 53, 1, 404, 140, 518, 350, 164, 136, 13, 9, 0], [0, 4, 53, 1, 405, 132, 546, 294, 234, 80, 41, 1, 1], [0, 4, 53, 2, 396, 168, 462, 420, 108, 164, 5, 10, 0], [0, 4, 53, 2, 397, 160, 490, 364, 178, 108, 33, 2, 1], [0, 4, 53, 3, 389, 188, 434, 434, 122, 136, 25, 3, 1], [0, 4, 53, 4, 381, 216, 378, 504, 66, 164, 17, 4, 1], [0, 4, 53, 5, 373, 244, 322, 574, 10, 192, 9, 5, 1], [0, 5, 32, 125, 48, 714, 0, 546, 240, 17, 64, 1, 0], [0, 5, 33, 117, 76, 658, 70, 490, 268, 9, 65, 1, 0], [0, 5, 33, 118, 68, 686, 14, 560, 212, 37, 57, 2, 0], [0, 5, 34, 109, 104, 602, 140, 434, 296, 1, 66, 1, 0], [0, 5, 34, 110, 96, 630, 84, 504, 240, 29, 58, 2, 0], [0, 5, 34, 111, 88, 658, 28, 574, 184, 57, 50, 3, 0], [0, 5, 35, 102, 124, 574, 154, 448, 268, 21, 59, 2, 0], [0, 5, 35, 103, 116, 602, 98, 518, 212, 49, 51, 3, 0], [0, 5, 35, 104, 108, 630, 42, 588, 156, 77, 43, 4, 0], [0, 5, 36, 94, 152, 518, 224, 392, 296, 13, 60, 2, 0], [0, 5, 36, 95, 144, 546, 168, 462, 240, 41, 52, 3, 0], [0, 5, 36, 96, 136, 574, 112, 532, 184, 69, 44, 4, 0], [0, 5, 36, 97, 128, 602, 56, 602, 128, 97, 36, 5, 0], [0, 5, 36, 98, 120, 630, 0, 672, 72, 125, 28, 6, 0], [0, 5, 37, 86, 180, 462, 294, 336, 324, 5, 61, 2, 0], [0, 5, 37, 87, 172, 490, 238, 406, 268, 33, 53, 3, 0], [0, 5, 37, 88, 164, 518, 182, 476, 212, 61, 45, 4, 0], [0, 5, 37, 89, 156, 546, 126, 546, 156, 89, 37, 5, 0], [0, 5, 37, 90, 148, 574, 70, 616, 100, 117, 29, 6, 0], [0, 5, 37, 91, 140, 602, 14, 686, 44, 145, 21, 7, 0], [0, 5, 38, 79, 200, 434, 308, 350, 296, 25, 54, 3, 0], [0, 5, 38, 80, 192, 462, 252, 420, 240, 53, 46, 4, 0], [0, 5, 38, 81, 184, 490, 196, 490, 184, 81, 38, 5, 0], [0, 5, 38, 82, 176, 518, 140, 560, 128, 109, 30, 6, 0], [0, 5, 38, 83, 168, 546, 84, 630, 72, 137, 22, 7, 0], [0, 5, 38, 84, 160, 574, 28, 700, 16, 165, 14, 8, 0], [0, 5, 38, 84, 161, 566, 56, 644, 86, 109, 42, 0, 1], [0, 5, 38, 85, 153, 594, 0, 714, 30, 137, 34, 1, 1], [0, 5, 39, 71, 228, 378, 378, 294, 324, 17, 55, 3, 0], [0, 5, 39, 72, 220, 406, 322, 364, 268, 45, 47, 4, 0], [0, 5, 39, 73, 212, 434, 266, 434, 212, 73, 39, 5, 0], [0, 5, 39, 74, 204, 462, 210, 504, 156, 101, 31, 6, 0], [0, 5, 39, 75, 196, 490, 154, 574, 100, 129, 23, 7, 0], [0, 5, 39, 76, 188, 518, 98, 644, 44, 157, 15, 8, 0], [0, 5, 39, 76, 189, 510, 126, 588, 114, 101, 43, 0, 1], [0, 5, 39, 77, 181, 538, 70, 658, 58, 129, 35, 1, 1], [0, 5, 39, 78, 173, 566, 14, 728, 2, 157, 27, 2, 1], [0, 5, 40, 63, 256, 322, 448, 238, 352, 9, 56, 3, 0], [0, 5, 40, 64, 248, 350, 392, 308, 296, 37, 48, 4, 0], [0, 5, 40, 65, 240, 378, 336, 378, 240, 65, 40, 5, 0], [0, 5, 40, 66, 232, 406, 280, 448, 184, 93, 32, 6, 0], [0, 5, 40, 67, 224, 434, 224, 518, 128, 121, 24, 7, 0], [0, 5, 40, 68, 216, 462, 168, 588, 72, 149, 16, 8, 0], [0, 5, 40, 68, 217, 454, 196, 532, 142, 93, 44, 0, 1], [0, 5, 40, 69, 208, 490, 112, 658, 16, 177, 8, 9, 0], [0, 5, 40, 69, 209, 482, 140, 602, 86, 121, 36, 1, 1], [0, 5, 40, 70, 201, 510, 84, 672, 30, 149, 28, 2, 1], [0, 5, 41, 55, 284, 266, 518, 182, 380, 1, 57, 3, 0], [0, 5, 41, 56, 276, 294, 462, 252, 324, 29, 49, 4, 0], [0, 5, 41, 57, 268, 322, 406, 322, 268, 57, 41, 5, 0], [0, 5, 41, 58, 260, 350, 350, 392, 212, 85, 33, 6, 0], [0, 5, 41, 59, 252, 378, 294, 462, 156, 113, 25, 7, 0], [0, 5, 41, 60, 244, 406, 238, 532, 100, 141, 17, 8, 0], [0, 5, 41, 60, 245, 398, 266, 476, 170, 85, 45, 0, 1], [0, 5, 41, 61, 236, 434, 182, 602, 44, 169, 9, 9, 0], [0, 5, 41, 61, 237, 426, 210, 546, 114, 113, 37, 1, 1], [0, 5, 41, 62, 229, 454, 154, 616, 58, 141, 29, 2, 1], [0, 5, 41, 63, 221, 482, 98, 686, 2, 169, 21, 3, 1], [0, 5, 42, 48, 304, 238, 532, 196, 352, 21, 50, 4, 0], [0, 5, 42, 49, 296, 266, 476, 266, 296, 49, 42, 5, 0], [0, 5, 42, 50, 288, 294, 420, 336, 240, 77, 34, 6, 0], [0, 5, 42, 51, 280, 322, 364, 406, 184, 105, 26, 7, 0], [0, 5, 42, 52, 272, 350, 308, 476, 128, 133, 18, 8, 0], [0, 5, 42, 52, 273, 342, 336, 420, 198, 77, 46, 0, 1], [0, 5, 42, 53, 264, 378, 252, 546, 72, 161, 10, 9, 0], [0, 5, 42, 53, 265, 370, 280, 490, 142, 105, 38, 1, 1], [0, 5, 42, 54, 256, 406, 196, 616, 16, 189, 2, 10, 0], [0, 5, 42, 54, 257, 398, 224, 560, 86, 133, 30, 2, 1], [0, 5, 42, 55, 249, 426, 168, 630, 30, 161, 22, 3, 1], [0, 5, 43, 40, 332, 182, 602, 140, 380, 13, 51, 4, 0], [0, 5, 43, 41, 324, 210, 546, 210, 324, 41, 43, 5, 0], [0, 5, 43, 42, 316, 238, 490, 280, 268, 69, 35, 6, 0], [0, 5, 43, 43, 308, 266, 434, 350, 212, 97, 27, 7, 0], [0, 5, 43, 44, 300, 294, 378, 420, 156, 125, 19, 8, 0], [0, 5, 43, 44, 301, 286, 406, 364, 226, 69, 47, 0, 1], [0, 5, 43, 45, 292, 322, 322, 490, 100, 153, 11, 9, 0], [0, 5, 43, 45, 293, 314, 350, 434, 170, 97, 39, 1, 1], [0, 5, 43, 46, 284, 350, 266, 560, 44, 181, 3, 10, 0], [0, 5, 43, 46, 285, 342, 294, 504, 114, 125, 31, 2, 1], [0, 5, 43, 47, 277, 370, 238, 574, 58, 153, 23, 3, 1], [0, 5, 43, 48, 269, 398, 182, 644, 2, 181, 15, 4, 1], [0, 5, 44, 32, 360, 126, 672, 84, 408, 5, 52, 4, 0], [0, 5, 44, 33, 352, 154, 616, 154, 352, 33, 44, 5, 0], [0, 5, 44, 34, 344, 182, 560, 224, 296, 61, 36, 6, 0], [0, 5, 44, 35, 336, 210, 504, 294, 240, 89, 28, 7, 0], [0, 5, 44, 36, 328, 238, 448, 364, 184, 117, 20, 8, 0], [0, 5, 44, 36, 329, 230, 476, 308, 254, 61, 48, 0, 1], [0, 5, 44, 37, 320, 266, 392, 434, 128, 145, 12, 9, 0], [0, 5, 44, 37, 321, 258, 420, 378, 198, 89, 40, 1, 1], [0, 5, 44, 38, 312, 294, 336, 504, 72, 173, 4, 10, 0], [0, 5, 44, 38, 313, 286, 364, 448, 142, 117, 32, 2, 1], [0, 5, 44, 39, 305, 314, 308, 518, 86, 145, 24, 3, 1], [0, 5, 44, 40, 297, 342, 252, 588, 30, 173, 16, 4, 1], [0, 5, 45, 25, 380, 98, 686, 98, 380, 25, 45, 5, 0], [0, 5, 45, 26, 372, 126, 630, 168, 324, 53, 37, 6, 0], [0, 5, 45, 27, 364, 154, 574, 238, 268, 81, 29, 7, 0], [0, 5, 45, 28, 356, 182, 518, 308, 212, 109, 21, 8, 0], [0, 5, 45, 28, 357, 174, 546, 252, 282, 53, 49, 0, 1], [0, 5, 45, 29, 348, 210, 462, 378, 156, 137, 13, 9, 0], [0, 5, 45, 29, 349, 202, 490, 322, 226, 81, 41, 1, 1], [0, 5, 45, 30, 340, 238, 406, 448, 100, 165, 5, 10, 0], [0, 5, 45, 30, 341, 230, 434, 392, 170, 109, 33, 2, 1], [0, 5, 45, 31, 333, 258, 378, 462, 114, 137, 25, 3, 1], [0, 5, 45, 32, 325, 286, 322, 532, 58, 165, 17, 4, 1], [0, 5, 45, 33, 317, 314, 266, 602, 2, 193, 9, 5, 1], [0, 5, 46, 17, 408, 42, 756, 42, 408, 17, 46, 5, 0], [0, 5, 46, 18, 400, 70, 700, 112, 352, 45, 38, 6, 0], [0, 5, 46, 19, 392, 98, 644, 182, 296, 73, 30, 7, 0], [0, 5, 46, 20, 384, 126, 588, 252, 240, 101, 22, 8, 0], [0, 5, 46, 20, 385, 118, 616, 196, 310, 45, 50, 0, 1], [0, 5, 46, 21, 376, 154, 532, 322, 184, 129, 14, 9, 0], [0, 5, 46, 21, 377, 146, 560, 266, 254, 73, 42, 1, 1], [0, 5, 46, 22, 368, 182, 476, 392, 128, 157, 6, 10, 0], [0, 5, 46, 22, 369, 174, 504, 336, 198, 101, 34, 2, 1], [0, 5, 46, 23, 361, 202, 448, 406, 142, 129, 26, 3, 1], [0, 5, 46, 24, 353, 230, 392, 476, 86, 157, 18, 4, 1], [0, 5, 46, 25, 345, 258, 336, 546, 30, 185, 10, 5, 1], [0, 5, 47, 10, 428, 14, 770, 56, 380, 37, 39, 6, 0], [0, 5, 47, 11, 420, 42, 714, 126, 324, 65, 31, 7, 0], [0, 5, 47, 12, 412, 70, 658, 196, 268, 93, 23, 8, 0], [0, 5, 47, 12, 413, 62, 686, 140, 338, 37, 51, 0, 1], [0, 5, 47, 13, 404, 98, 602, 266, 212, 121, 15, 9, 0], [0, 5, 47, 13, 405, 90, 630, 210, 282, 65, 43, 1, 1], [0, 5, 47, 14, 396, 126, 546, 336, 156, 149, 7, 10, 0], [0, 5, 47, 14, 397, 118, 574, 280, 226, 93, 35, 2, 1], [0, 5, 47, 15, 389, 146, 518, 350, 170, 121, 27, 3, 1], [0, 5, 47, 16, 381, 174, 462, 420, 114, 149, 19, 4, 1], [0, 5, 47, 17, 373, 202, 406, 490, 58, 177, 11, 5, 1], [0, 5, 47, 18, 365, 230, 350, 560, 2, 205, 3, 6, 1], [0, 5, 48, 4, 440, 14, 728, 140, 296, 85, 24, 8, 0], [0, 5, 48, 4, 441, 6, 756, 84, 366, 29, 52, 0, 1], [0, 5, 48, 5, 432, 42, 672, 210, 240, 113, 16, 9, 0], [0, 5, 48, 5, 433, 34, 700, 154, 310, 57, 44, 1, 1], [0, 5, 48, 6, 424, 70, 616, 280, 184, 141, 8, 10, 0], [0, 5, 48, 6, 425, 62, 644, 224, 254, 85, 36, 2, 1], [0, 5, 48, 7, 416, 98, 560, 350, 128, 169, 0, 11, 0], [0, 5, 48, 7, 417, 90, 588, 294, 198, 113, 28, 3, 1], [0, 5, 48, 8, 409, 118, 532, 364, 142, 141, 20, 4, 1], [0, 5, 48, 9, 401, 146, 476, 434, 86, 169, 12, 5, 1], [0, 5, 48, 10, 393, 174, 420, 504, 30, 197, 4, 6, 1], [0, 5, 49, 0, 437, 62, 602, 308, 170, 133, 21, 4, 1], [0, 5, 49, 1, 429, 90, 546, 378, 114, 161, 13, 5, 1], [0, 5, 49, 2, 421, 118, 490, 448, 58, 189, 5, 6, 1], [0, 5, 49, 4, 406, 166, 406, 532, 16, 189, 17, 0, 2], [0, 6, 25, 145, 20, 728, 14, 518, 260, 10, 65, 1, 0], [0, 6, 26, 137, 48, 672, 84, 462, 288, 2, 66, 1, 0], [0, 6, 26, 138, 40, 700, 28, 532, 232, 30, 58, 2, 0], [0, 6, 27, 130, 68, 644, 98, 476, 260, 22, 59, 2, 0], [0, 6, 27, 131, 60, 672, 42, 546, 204, 50, 51, 3, 0], [0, 6, 28, 122, 96, 588, 168, 420, 288, 14, 60, 2, 0], [0, 6, 28, 123, 88, 616, 112, 490, 232, 42, 52, 3, 0], [0, 6, 28, 124, 80, 644, 56, 560, 176, 70, 44, 4, 0], [0, 6, 28, 125, 72, 672, 0, 630, 120, 98, 36, 5, 0], [0, 6, 29, 114, 124, 532, 238, 364, 316, 6, 61, 2, 0], [0, 6, 29, 115, 116, 560, 182, 434, 260, 34, 53, 3, 0], [0, 6, 29, 116, 108, 588, 126, 504, 204, 62, 45, 4, 0], [0, 6, 29, 117, 100, 616, 70, 574, 148, 90, 37, 5, 0], [0, 6, 29, 118, 92, 644, 14, 644, 92, 118, 29, 6, 0], [0, 6, 30, 107, 144, 504, 252, 378, 288, 26, 54, 3, 0], [0, 6, 30, 108, 136, 532, 196, 448, 232, 54, 46, 4, 0], [0, 6, 30, 109, 128, 560, 140, 518, 176, 82, 38, 5, 0], [0, 6, 30, 110, 120, 588, 84, 588, 120, 110, 30, 6, 0], [0, 6, 30, 111, 112, 616, 28, 658, 64, 138, 22, 7, 0], [0, 6, 30, 112, 105, 636, 0, 672, 78, 110, 42, 0, 1], [0, 6, 31, 99, 172, 448, 322, 322, 316, 18, 55, 3, 0], [0, 6, 31, 100, 164, 476, 266, 392, 260, 46, 47, 4, 0], [0, 6, 31, 101, 156, 504, 210, 462, 204, 74, 39, 5, 0], [0, 6, 31, 102, 148, 532, 154, 532, 148, 102, 31, 6, 0], [0, 6, 31, 103, 140, 560, 98, 602, 92, 130, 23, 7, 0], [0, 6, 31, 104, 132, 588, 42, 672, 36, 158, 15, 8, 0], [0, 6, 31, 104, 133, 580, 70, 616, 106, 102, 43, 0, 1], [0, 6, 31, 105, 125, 608, 14, 686, 50, 130, 35, 1, 1], [0, 6, 32, 91, 200, 392, 392, 266, 344, 10, 56, 3, 0], [0, 6, 32, 92, 192, 420, 336, 336, 288, 38, 48, 4, 0], [0, 6, 32, 93, 184, 448, 280, 406, 232, 66, 40, 5, 0], [0, 6, 32, 94, 176, 476, 224, 476, 176, 94, 32, 6, 0], [0, 6, 32, 95, 168, 504, 168, 546, 120, 122, 24, 7, 0], [0, 6, 32, 96, 160, 532, 112, 616, 64, 150, 16, 8, 0], [0, 6, 32, 96, 161, 524, 140, 560, 134, 94, 44, 0, 1], [0, 6, 32, 97, 152, 560, 56, 686, 8, 178, 8, 9, 0], [0, 6, 32, 97, 153, 552, 84, 630, 78, 122, 36, 1, 1], [0, 6, 32, 98, 145, 580, 28, 700, 22, 150, 28, 2, 1], [0, 6, 33, 83, 228, 336, 462, 210, 372, 2, 57, 3, 0], [0, 6, 33, 84, 220, 364, 406, 280, 316, 30, 49, 4, 0], [0, 6, 33, 85, 212, 392, 350, 350, 260, 58, 41, 5, 0], [0, 6, 33, 86, 204, 420, 294, 420, 204, 86, 33, 6, 0], [0, 6, 33, 87, 196, 448, 238, 490, 148, 114, 25, 7, 0], [0, 6, 33, 88, 188, 476, 182, 560, 92, 142, 17, 8, 0], [0, 6, 33, 88, 189, 468, 210, 504, 162, 86, 45, 0, 1], [0, 6, 33, 89, 180, 504, 126, 630, 36, 170, 9, 9, 0], [0, 6, 33, 89, 181, 496, 154, 574, 106, 114, 37, 1, 1], [0, 6, 33, 90, 173, 524, 98, 644, 50, 142, 29, 2, 1], [0, 6, 34, 76, 248, 308, 476, 224, 344, 22, 50, 4, 0], [0, 6, 34, 77, 240, 336, 420, 294, 288, 50, 42, 5, 0], [0, 6, 34, 78, 232, 364, 364, 364, 232, 78, 34, 6, 0], [0, 6, 34, 79, 224, 392, 308, 434, 176, 106, 26, 7, 0], [0, 6, 34, 80, 216, 420, 252, 504, 120, 134, 18, 8, 0], [0, 6, 34, 80, 217, 412, 280, 448, 190, 78, 46, 0, 1], [0, 6, 34, 81, 208, 448, 196, 574, 64, 162, 10, 9, 0], [0, 6, 34, 81, 209, 440, 224, 518, 134, 106, 38, 1, 1], [0, 6, 34, 82, 200, 476, 140, 644, 8, 190, 2, 10, 0], [0, 6, 34, 82, 201, 468, 168, 588, 78, 134, 30, 2, 1], [0, 6, 34, 83, 193, 496, 112, 658, 22, 162, 22, 3, 1], [0, 6, 35, 68, 276, 252, 546, 168, 372, 14, 51, 4, 0], [0, 6, 35, 69, 268, 280, 490, 238, 316, 42, 43, 5, 0], [0, 6, 35, 70, 260, 308, 434, 308, 260, 70, 35, 6, 0], [0, 6, 35, 71, 252, 336, 378, 378, 204, 98, 27, 7, 0], [0, 6, 35, 72, 244, 364, 322, 448, 148, 126, 19, 8, 0], [0, 6, 35, 72, 245, 356, 350, 392, 218, 70, 47, 0, 1], [0, 6, 35, 73, 236, 392, 266, 518, 92, 154, 11, 9, 0], [0, 6, 35, 73, 237, 384, 294, 462, 162, 98, 39, 1, 1], [0, 6, 35, 74, 228, 420, 210, 588, 36, 182, 3, 10, 0], [0, 6, 35, 74, 229, 412, 238, 532, 106, 126, 31, 2, 1], [0, 6, 35, 75, 221, 440, 182, 602, 50, 154, 23, 3, 1], [0, 6, 36, 60, 304, 196, 616, 112, 400, 6, 52, 4, 0], [0, 6, 36, 61, 296, 224, 560, 182, 344, 34, 44, 5, 0], [0, 6, 36, 62, 288, 252, 504, 252, 288, 62, 36, 6, 0], [0, 6, 36, 63, 280, 280, 448, 322, 232, 90, 28, 7, 0], [0, 6, 36, 64, 272, 308, 392, 392, 176, 118, 20, 8, 0], [0, 6, 36, 64, 273, 300, 420, 336, 246, 62, 48, 0, 1], [0, 6, 36, 65, 264, 336, 336, 462, 120, 146, 12, 9, 0], [0, 6, 36, 65, 265, 328, 364, 406, 190, 90, 40, 1, 1], [0, 6, 36, 66, 256, 364, 280, 532, 64, 174, 4, 10, 0], [0, 6, 36, 66, 257, 356, 308, 476, 134, 118, 32, 2, 1], [0, 6, 36, 67, 249, 384, 252, 546, 78, 146, 24, 3, 1], [0, 6, 36, 68, 241, 412, 196, 616, 22, 174, 16, 4, 1], [0, 6, 37, 53, 324, 168, 630, 126, 372, 26, 45, 5, 0], [0, 6, 37, 54, 316, 196, 574, 196, 316, 54, 37, 6, 0], [0, 6, 37, 55, 308, 224, 518, 266, 260, 82, 29, 7, 0], [0, 6, 37, 56, 300, 252, 462, 336, 204, 110, 21, 8, 0], [0, 6, 37, 56, 301, 244, 490, 280, 274, 54, 49, 0, 1], [0, 6, 37, 57, 292, 280, 406, 406, 148, 138, 13, 9, 0], [0, 6, 37, 57, 293, 272, 434, 350, 218, 82, 41, 1, 1], [0, 6, 37, 58, 284, 308, 350, 476, 92, 166, 5, 10, 0], [0, 6, 37, 58, 285, 300, 378, 420, 162, 110, 33, 2, 1], [0, 6, 37, 59, 277, 328, 322, 490, 106, 138, 25, 3, 1], [0, 6, 37, 60, 269, 356, 266, 560, 50, 166, 17, 4, 1], [0, 6, 38, 45, 352, 112, 700, 70, 400, 18, 46, 5, 0], [0, 6, 38, 46, 344, 140, 644, 140, 344, 46, 38, 6, 0], [0, 6, 38, 47, 336, 168, 588, 210, 288, 74, 30, 7, 0], [0, 6, 38, 48, 328, 196, 532, 280, 232, 102, 22, 8, 0], [0, 6, 38, 48, 329, 188, 560, 224, 302, 46, 50, 0, 1], [0, 6, 38, 49, 320, 224, 476, 350, 176, 130, 14, 9, 0], [0, 6, 38, 49, 321, 216, 504, 294, 246, 74, 42, 1, 1], [0, 6, 38, 50, 312, 252, 420, 420, 120, 158, 6, 10, 0], [0, 6, 38, 50, 313, 244, 448, 364, 190, 102, 34, 2, 1], [0, 6, 38, 51, 305, 272, 392, 434, 134, 130, 26, 3, 1], [0, 6, 38, 52, 297, 300, 336, 504, 78, 158, 18, 4, 1], [0, 6, 38, 53, 289, 328, 280, 574, 22, 186, 10, 5, 1], [0, 6, 39, 37, 380, 56, 770, 14, 428, 10, 47, 5, 0], [0, 6, 39, 38, 372, 84, 714, 84, 372, 38, 39, 6, 0], [0, 6, 39, 39, 364, 112, 658, 154, 316, 66, 31, 7, 0], [0, 6, 39, 40, 356, 140, 602, 224, 260, 94, 23, 8, 0], [0, 6, 39, 40, 357, 132, 630, 168, 330, 38, 51, 0, 1], [0, 6, 39, 41, 348, 168, 546, 294, 204, 122, 15, 9, 0], [0, 6, 39, 41, 349, 160, 574, 238, 274, 66, 43, 1, 1], [0, 6, 39, 42, 340, 196, 490, 364, 148, 150, 7, 10, 0], [0, 6, 39, 42, 341, 188, 518, 308, 218, 94, 35, 2, 1], [0, 6, 39, 43, 333, 216, 462, 378, 162, 122, 27, 3, 1], [0, 6, 39, 44, 325, 244, 406, 448, 106, 150, 19, 4, 1], [0, 6, 39, 45, 317, 272, 350, 518, 50, 178, 11, 5, 1], [0, 6, 40, 30, 400, 28, 784, 28, 400, 30, 40, 6, 0], [0, 6, 40, 31, 392, 56, 728, 98, 344, 58, 32, 7, 0], [0, 6, 40, 32, 384, 84, 672, 168, 288, 86, 24, 8, 0], [0, 6, 40, 32, 385, 76, 700, 112, 358, 30, 52, 0, 1], [0, 6, 40, 33, 376, 112, 616, 238, 232, 114, 16, 9, 0], [0, 6, 40, 33, 377, 104, 644, 182, 302, 58, 44, 1, 1], [0, 6, 40, 34, 368, 140, 560, 308, 176, 142, 8, 10, 0], [0, 6, 40, 34, 369, 132, 588, 252, 246, 86, 36, 2, 1], [0, 6, 40, 35, 360, 168, 504, 378, 120, 170, 0, 11, 0], [0, 6, 40, 35, 361, 160, 532, 322, 190, 114, 28, 3, 1], [0, 6, 40, 36, 353, 188, 476, 392, 134, 142, 20, 4, 1], [0, 6, 40, 37, 345, 216, 420, 462, 78, 170, 12, 5, 1], [0, 6, 40, 38, 337, 244, 364, 532, 22, 198, 4, 6, 1], [0, 6, 41, 23, 420, 0, 798, 42, 372, 50, 33, 7, 0], [0, 6, 41, 24, 412, 28, 742, 112, 316, 78, 25, 8, 0], [0, 6, 41, 24, 413, 20, 770, 56, 386, 22, 53, 0, 1], [0, 6, 41, 25, 404, 56, 686, 182, 260, 106, 17, 9, 0], [0, 6, 41, 25, 405, 48, 714, 126, 330, 50, 45, 1, 1], [0, 6, 41, 26, 396, 84, 630, 252, 204, 134, 9, 10, 0], [0, 6, 41, 26, 397, 76, 658, 196, 274, 78, 37, 2, 1], [0, 6, 41, 27, 388, 112, 574, 322, 148, 162, 1, 11, 0], [0, 6, 41, 27, 389, 104, 602, 266, 218, 106, 29, 3, 1], [0, 6, 41, 28, 381, 132, 546, 336, 162, 134, 21, 4, 1], [0, 6, 41, 29, 373, 160, 490, 406, 106, 162, 13, 5, 1], [0, 6, 41, 30, 365, 188, 434, 476, 50, 190, 5, 6, 1], [0, 6, 41, 32, 350, 236, 350, 560, 8, 190, 17, 0, 2], [0, 6, 42, 17, 432, 0, 756, 126, 288, 98, 18, 9, 0], [0, 6, 42, 18, 424, 28, 700, 196, 232, 126, 10, 10, 0], [0, 6, 42, 18, 425, 20, 728, 140, 302, 70, 38, 2, 1], [0, 6, 42, 19, 416, 56, 644, 266, 176, 154, 2, 11, 0], [0, 6, 42, 19, 417, 48, 672, 210, 246, 98, 30, 3, 1], [0, 6, 42, 20, 409, 76, 616, 280, 190, 126, 22, 4, 1], [0, 6, 42, 21, 401, 104, 560, 350, 134, 154, 14, 5, 1], [0, 6, 42, 22, 393, 132, 504, 420, 78, 182, 6, 6, 1], [0, 6, 42, 24, 378, 180, 420, 504, 36, 182, 18, 0, 2], [0, 6, 43, 11, 444, 0, 714, 210, 204, 146, 3, 11, 0], [0, 6, 43, 12, 437, 20, 686, 224, 218, 118, 23, 4, 1], [0, 6, 43, 13, 429, 48, 630, 294, 162, 146, 15, 5, 1], [0, 6, 43, 14, 421, 76, 574, 364, 106, 174, 7, 6, 1], [0, 6, 43, 16, 406, 124, 490, 448, 64, 174, 19, 0, 2], [0, 6, 43, 17, 398, 152, 434, 518, 8, 202, 11, 1, 2], [0, 6, 44, 6, 449, 20, 644, 308, 134, 166, 8, 6, 1], [0, 6, 44, 7, 441, 48, 588, 378, 78, 194, 0, 7, 1], [0, 6, 44, 8, 434, 68, 560, 392, 92, 166, 20, 0, 2], [0, 6, 44, 9, 426, 96, 504, 462, 36, 194, 12, 1, 2], [0, 6, 45, 0, 462, 12, 630, 336, 120, 158, 21, 0, 2], [0, 6, 45, 1, 454, 40, 574, 406, 64, 186, 13, 1, 2], [0, 6, 45, 2, 446, 68, 518, 476, 8, 214, 5, 2, 2], [0, 7, 19, 158, 12, 714, 42, 504, 252, 23, 59, 2, 0], [0, 7, 20, 150, 40, 658, 112, 448, 280, 15, 60, 2, 0], [0, 7, 20, 151, 32, 686, 56, 518, 224, 43, 52, 3, 0], [0, 7, 20, 152, 24, 714, 0, 588, 168, 71, 44, 4, 0], [0, 7, 21, 142, 68, 602, 182, 392, 308, 7, 61, 2, 0], [0, 7, 21, 143, 60, 630, 126, 462, 252, 35, 53, 3, 0], [0, 7, 21, 144, 52, 658, 70, 532, 196, 63, 45, 4, 0], [0, 7, 21, 145, 44, 686, 14, 602, 140, 91, 37, 5, 0], [0, 7, 22, 135, 88, 574, 196, 406, 280, 27, 54, 3, 0], [0, 7, 22, 136, 80, 602, 140, 476, 224, 55, 46, 4, 0], [0, 7, 22, 137, 72, 630, 84, 546, 168, 83, 38, 5, 0], [0, 7, 22, 138, 64, 658, 28, 616, 112, 111, 30, 6, 0], [0, 7, 23, 127, 116, 518, 266, 350, 308, 19, 55, 3, 0], [0, 7, 23, 128, 108, 546, 210, 420, 252, 47, 47, 4, 0], [0, 7, 23, 129, 100, 574, 154, 490, 196, 75, 39, 5, 0], [0, 7, 23, 130, 92, 602, 98, 560, 140, 103, 31, 6, 0], [0, 7, 23, 131, 84, 630, 42, 630, 84, 131, 23, 7, 0], [0, 7, 23, 132, 77, 650, 14, 644, 98, 103, 43, 0, 1], [0, 7, 24, 119, 144, 462, 336, 294, 336, 11, 56, 3, 0], [0, 7, 24, 120, 136, 490, 280, 364, 280, 39, 48, 4, 0], [0, 7, 24, 121, 128, 518, 224, 434, 224, 67, 40, 5, 0], [0, 7, 24, 122, 120, 546, 168, 504, 168, 95, 32, 6, 0], [0, 7, 24, 123, 112, 574, 112, 574, 112, 123, 24, 7, 0], [0, 7, 24, 124, 104, 602, 56, 644, 56, 151, 16, 8, 0], [0, 7, 24, 124, 105, 594, 84, 588, 126, 95, 44, 0, 1], [0, 7, 24, 125, 96, 630, 0, 714, 0, 179, 8, 9, 0], [0, 7, 24, 125, 97, 622, 28, 658, 70, 123, 36, 1, 1], [0, 7, 25, 111, 172, 406, 406, 238, 364, 3, 57, 3, 0], [0, 7, 25, 112, 164, 434, 350, 308, 308, 31, 49, 4, 0], [0, 7, 25, 113, 156, 462, 294, 378, 252, 59, 41, 5, 0], [0, 7, 25, 114, 148, 490, 238, 448, 196, 87, 33, 6, 0], [0, 7, 25, 115, 140, 518, 182, 518, 140, 115, 25, 7, 0], [0, 7, 25, 116, 132, 546, 126, 588, 84, 143, 17, 8, 0], [0, 7, 25, 116, 133, 538, 154, 532, 154, 87, 45, 0, 1], [0, 7, 25, 117, 124, 574, 70, 658, 28, 171, 9, 9, 0], [0, 7, 25, 117, 125, 566, 98, 602, 98, 115, 37, 1, 1], [0, 7, 25, 118, 117, 594, 42, 672, 42, 143, 29, 2, 1], [0, 7, 26, 104, 192, 378, 420, 252, 336, 23, 50, 4, 0], [0, 7, 26, 105, 184, 406, 364, 322, 280, 51, 42, 5, 0], [0, 7, 26, 106, 176, 434, 308, 392, 224, 79, 34, 6, 0], [0, 7, 26, 107, 168, 462, 252, 462, 168, 107, 26, 7, 0], [0, 7, 26, 108, 160, 490, 196, 532, 112, 135, 18, 8, 0], [0, 7, 26, 108, 161, 482, 224, 476, 182, 79, 46, 0, 1], [0, 7, 26, 109, 152, 518, 140, 602, 56, 163, 10, 9, 0], [0, 7, 26, 109, 153, 510, 168, 546, 126, 107, 38, 1, 1], [0, 7, 26, 110, 144, 546, 84, 672, 0, 191, 2, 10, 0], [0, 7, 26, 110, 145, 538, 112, 616, 70, 135, 30, 2, 1], [0, 7, 26, 111, 137, 566, 56, 686, 14, 163, 22, 3, 1], [0, 7, 27, 96, 220, 322, 490, 196, 364, 15, 51, 4, 0], [0, 7, 27, 97, 212, 350, 434, 266, 308, 43, 43, 5, 0], [0, 7, 27, 98, 204, 378, 378, 336, 252, 71, 35, 6, 0], [0, 7, 27, 99, 196, 406, 322, 406, 196, 99, 27, 7, 0], [0, 7, 27, 100, 188, 434, 266, 476, 140, 127, 19, 8, 0], [0, 7, 27, 100, 189, 426, 294, 420, 210, 71, 47, 0, 1], [0, 7, 27, 101, 180, 462, 210, 546, 84, 155, 11, 9, 0], [0, 7, 27, 101, 181, 454, 238, 490, 154, 99, 39, 1, 1], [0, 7, 27, 102, 172, 490, 154, 616, 28, 183, 3, 10, 0], [0, 7, 27, 102, 173, 482, 182, 560, 98, 127, 31, 2, 1], [0, 7, 27, 103, 165, 510, 126, 630, 42, 155, 23, 3, 1], [0, 7, 28, 88, 248, 266, 560, 140, 392, 7, 52, 4, 0], [0, 7, 28, 89, 240, 294, 504, 210, 336, 35, 44, 5, 0], [0, 7, 28, 90, 232, 322, 448, 280, 280, 63, 36, 6, 0], [0, 7, 28, 91, 224, 350, 392, 350, 224, 91, 28, 7, 0], [0, 7, 28, 92, 216, 378, 336, 420, 168, 119, 20, 8, 0], [0, 7, 28, 92, 217, 370, 364, 364, 238, 63, 48, 0, 1], [0, 7, 28, 93, 208, 406, 280, 490, 112, 147, 12, 9, 0], [0, 7, 28, 93, 209, 398, 308, 434, 182, 91, 40, 1, 1], [0, 7, 28, 94, 200, 434, 224, 560, 56, 175, 4, 10, 0], [0, 7, 28, 94, 201, 426, 252, 504, 126, 119, 32, 2, 1], [0, 7, 28, 95, 193, 454, 196, 574, 70, 147, 24, 3, 1], [0, 7, 28, 96, 185, 482, 140, 644, 14, 175, 16, 4, 1], [0, 7, 29, 81, 268, 238, 574, 154, 364, 27, 45, 5, 0], [0, 7, 29, 82, 260, 266, 518, 224, 308, 55, 37, 6, 0], [0, 7, 29, 83, 252, 294, 462, 294, 252, 83, 29, 7, 0], [0, 7, 29, 84, 244, 322, 406, 364, 196, 111, 21, 8, 0], [0, 7, 29, 84, 245, 314, 434, 308, 266, 55, 49, 0, 1], [0, 7, 29, 85, 236, 350, 350, 434, 140, 139, 13, 9, 0], [0, 7, 29, 85, 237, 342, 378, 378, 210, 83, 41, 1, 1], [0, 7, 29, 86, 228, 378, 294, 504, 84, 167, 5, 10, 0], [0, 7, 29, 86, 229, 370, 322, 448, 154, 111, 33, 2, 1], [0, 7, 29, 87, 221, 398, 266, 518, 98, 139, 25, 3, 1], [0, 7, 29, 88, 213, 426, 210, 588, 42, 167, 17, 4, 1], [0, 7, 30, 73, 296, 182, 644, 98, 392, 19, 46, 5, 0], [0, 7, 30, 74, 288, 210, 588, 168, 336, 47, 38, 6, 0], [0, 7, 30, 75, 280, 238, 532, 238, 280, 75, 30, 7, 0], [0, 7, 30, 76, 272, 266, 476, 308, 224, 103, 22, 8, 0], [0, 7, 30, 76, 273, 258, 504, 252, 294, 47, 50, 0, 1], [0, 7, 30, 77, 264, 294, 420, 378, 168, 131, 14, 9, 0], [0, 7, 30, 77, 265, 286, 448, 322, 238, 75, 42, 1, 1], [0, 7, 30, 78, 256, 322, 364, 448, 112, 159, 6, 10, 0], [0, 7, 30, 78, 257, 314, 392, 392, 182, 103, 34, 2, 1], [0, 7, 30, 79, 249, 342, 336, 462, 126, 131, 26, 3, 1], [0, 7, 30, 80, 241, 370, 280, 532, 70, 159, 18, 4, 1], [0, 7, 30, 81, 233, 398, 224, 602, 14, 187, 10, 5, 1], [0, 7, 31, 65, 324, 126, 714, 42, 420, 11, 47, 5, 0], [0, 7, 31, 66, 316, 154, 658, 112, 364, 39, 39, 6, 0], [0, 7, 31, 67, 308, 182, 602, 182, 308, 67, 31, 7, 0], [0, 7, 31, 68, 300, 210, 546, 252, 252, 95, 23, 8, 0], [0, 7, 31, 68, 301, 202, 574, 196, 322, 39, 51, 0, 1], [0, 7, 31, 69, 292, 238, 490, 322, 196, 123, 15, 9, 0], [0, 7, 31, 69, 293, 230, 518, 266, 266, 67, 43, 1, 1], [0, 7, 31, 70, 284, 266, 434, 392, 140, 151, 7, 10, 0], [0, 7, 31, 70, 285, 258, 462, 336, 210, 95, 35, 2, 1], [0, 7, 31, 71, 277, 286, 406, 406, 154, 123, 27, 3, 1], [0, 7, 31, 72, 269, 314, 350, 476, 98, 151, 19, 4, 1], [0, 7, 31, 73, 261, 342, 294, 546, 42, 179, 11, 5, 1], [0, 7, 32, 58, 344, 98, 728, 56, 392, 31, 40, 6, 0], [0, 7, 32, 59, 336, 126, 672, 126, 336, 59, 32, 7, 0], [0, 7, 32, 60, 328, 154, 616, 196, 280, 87, 24, 8, 0], [0, 7, 32, 60, 329, 146, 644, 140, 350, 31, 52, 0, 1], [0, 7, 32, 61, 320, 182, 560, 266, 224, 115, 16, 9, 0], [0, 7, 32, 61, 321, 174, 588, 210, 294, 59, 44, 1, 1], [0, 7, 32, 62, 312, 210, 504, 336, 168, 143, 8, 10, 0], [0, 7, 32, 62, 313, 202, 532, 280, 238, 87, 36, 2, 1], [0, 7, 32, 63, 304, 238, 448, 406, 112, 171, 0, 11, 0], [0, 7, 32, 63, 305, 230, 476, 350, 182, 115, 28, 3, 1], [0, 7, 32, 64, 297, 258, 420, 420, 126, 143, 20, 4, 1], [0, 7, 32, 65, 289, 286, 364, 490, 70, 171, 12, 5, 1], [0, 7, 32, 66, 281, 314, 308, 560, 14, 199, 4, 6, 1], [0, 7, 33, 50, 372, 42, 798, 0, 420, 23, 41, 6, 0], [0, 7, 33, 51, 364, 70, 742, 70, 364, 51, 33, 7, 0], [0, 7, 33, 52, 356, 98, 686, 140, 308, 79, 25, 8, 0], [0, 7, 33, 52, 357, 90, 714, 84, 378, 23, 53, 0, 1], [0, 7, 33, 53, 348, 126, 630, 210, 252, 107, 17, 9, 0], [0, 7, 33, 53, 349, 118, 658, 154, 322, 51, 45, 1, 1], [0, 7, 33, 54, 340, 154, 574, 280, 196, 135, 9, 10, 0], [0, 7, 33, 54, 341, 146, 602, 224, 266, 79, 37, 2, 1], [0, 7, 33, 55, 332, 182, 518, 350, 140, 163, 1, 11, 0], [0, 7, 33, 55, 333, 174, 546, 294, 210, 107, 29, 3, 1], [0, 7, 33, 56, 325, 202, 490, 364, 154, 135, 21, 4, 1], [0, 7, 33, 57, 317, 230, 434, 434, 98, 163, 13, 5, 1], [0, 7, 33, 58, 309, 258, 378, 504, 42, 191, 5, 6, 1], [0, 7, 33, 60, 294, 306, 294, 588, 0, 191, 17, 0, 2], [0, 7, 34, 43, 392, 14, 812, 14, 392, 43, 34, 7, 0], [0, 7, 34, 44, 384, 42, 756, 84, 336, 71, 26, 8, 0], [0, 7, 34, 44, 385, 34, 784, 28, 406, 15, 54, 0, 1], [0, 7, 34, 45, 376, 70, 700, 154, 280, 99, 18, 9, 0], [0, 7, 34, 45, 377, 62, 728, 98, 350, 43, 46, 1, 1], [0, 7, 34, 46, 368, 98, 644, 224, 224, 127, 10, 10, 0], [0, 7, 34, 46, 369, 90, 672, 168, 294, 71, 38, 2, 1], [0, 7, 34, 47, 360, 126, 588, 294, 168, 155, 2, 11, 0], [0, 7, 34, 47, 361, 118, 616, 238, 238, 99, 30, 3, 1], [0, 7, 34, 48, 353, 146, 560, 308, 182, 127, 22, 4, 1], [0, 7, 34, 49, 345, 174, 504, 378, 126, 155, 14, 5, 1], [0, 7, 34, 50, 337, 202, 448, 448, 70, 183, 6, 6, 1], [0, 7, 34, 52, 322, 250, 364, 532, 28, 183, 18, 0, 2], [0, 7, 35, 37, 404, 14, 770, 98, 308, 91, 19, 9, 0], [0, 7, 35, 37, 405, 6, 798, 42, 378, 35, 47, 1, 1], [0, 7, 35, 38, 396, 42, 714, 168, 252, 119, 11, 10, 0], [0, 7, 35, 38, 397, 34, 742, 112, 322, 63, 39, 2, 1], [0, 7, 35, 39, 388, 70, 658, 238, 196, 147, 3, 11, 0], [0, 7, 35, 39, 389, 62, 686, 182, 266, 91, 31, 3, 1], [0, 7, 35, 40, 381, 90, 630, 252, 210, 119, 23, 4, 1], [0, 7, 35, 41, 373, 118, 574, 322, 154, 147, 15, 5, 1], [0, 7, 35, 42, 365, 146, 518, 392, 98, 175, 7, 6, 1], [0, 7, 35, 44, 350, 194, 434, 476, 56, 175, 19, 0, 2], [0, 7, 35, 45, 342, 222, 378, 546, 0, 203, 11, 1, 2], [0, 7, 36, 31, 416, 14, 728, 182, 224, 139, 4, 11, 0], [0, 7, 36, 31, 417, 6, 756, 126, 294, 83, 32, 3, 1], [0, 7, 36, 32, 409, 34, 700, 196, 238, 111, 24, 4, 1], [0, 7, 36, 33, 401, 62, 644, 266, 182, 139, 16, 5, 1], [0, 7, 36, 34, 393, 90, 588, 336, 126, 167, 8, 6, 1], [0, 7, 36, 35, 385, 118, 532, 406, 70, 195, 0, 7, 1], [0, 7, 36, 36, 378, 138, 504, 420, 84, 167, 20, 0, 2], [0, 7, 36, 37, 370, 166, 448, 490, 28, 195, 12, 1, 2], [0, 7, 37, 25, 429, 6, 714, 210, 210, 131, 17, 5, 1], [0, 7, 37, 26, 421, 34, 658, 280, 154, 159, 9, 6, 1], [0, 7, 37, 27, 413, 62, 602, 350, 98, 187, 1, 7, 1], [0, 7, 37, 28, 406, 82, 574, 364, 112, 159, 21, 0, 2], [0, 7, 37, 29, 398, 110, 518, 434, 56, 187, 13, 1, 2], [0, 7, 37, 30, 390, 138, 462, 504, 0, 215, 5, 2, 2], [0, 7, 38, 19, 441, 6, 672, 294, 126, 179, 2, 7, 1], [0, 7, 38, 20, 434, 26, 644, 308, 140, 151, 22, 0, 2], [0, 7, 38, 21, 426, 54, 588, 378, 84, 179, 14, 1, 2], [0, 7, 38, 22, 418, 82, 532, 448, 28, 207, 6, 2, 2], [0, 7, 39, 14, 446, 26, 602, 392, 56, 199, 7, 2, 2], [0, 8, 13, 170, 12, 672, 126, 420, 300, 8, 61, 2, 0], [0, 8, 13, 171, 4, 700, 70, 490, 244, 36, 53, 3, 0], [0, 8, 14, 162, 40, 616, 196, 364, 328, 0, 62, 2, 0], [0, 8, 14, 163, 32, 644, 140, 434, 272, 28, 54, 3, 0], [0, 8, 14, 164, 24, 672, 84, 504, 216, 56, 46, 4, 0], [0, 8, 14, 165, 16, 700, 28, 574, 160, 84, 38, 5, 0], [0, 8, 15, 155, 60, 588, 210, 378, 300, 20, 55, 3, 0], [0, 8, 15, 156, 52, 616, 154, 448, 244, 48, 47, 4, 0], [0, 8, 15, 157, 44, 644, 98, 518, 188, 76, 39, 5, 0], [0, 8, 15, 158, 36, 672, 42, 588, 132, 104, 31, 6, 0], [0, 8, 16, 147, 88, 532, 280, 322, 328, 12, 56, 3, 0], [0, 8, 16, 148, 80, 560, 224, 392, 272, 40, 48, 4, 0], [0, 8, 16, 149, 72, 588, 168, 462, 216, 68, 40, 5, 0], [0, 8, 16, 150, 64, 616, 112, 532, 160, 96, 32, 6, 0], [0, 8, 16, 151, 56, 644, 56, 602, 104, 124, 24, 7, 0], [0, 8, 16, 152, 48, 672, 0, 672, 48, 152, 16, 8, 0], [0, 8, 16, 152, 49, 664, 28, 616, 118, 96, 44, 0, 1], [0, 8, 17, 139, 116, 476, 350, 266, 356, 4, 57, 3, 0], [0, 8, 17, 140, 108, 504, 294, 336, 300, 32, 49, 4, 0], [0, 8, 17, 141, 100, 532, 238, 406, 244, 60, 41, 5, 0], [0, 8, 17, 142, 92, 560, 182, 476, 188, 88, 33, 6, 0], [0, 8, 17, 143, 84, 588, 126, 546, 132, 116, 25, 7, 0], [0, 8, 17, 144, 76, 616, 70, 616, 76, 144, 17, 8, 0], [0, 8, 17, 144, 77, 608, 98, 560, 146, 88, 45, 0, 1], [0, 8, 17, 145, 68, 644, 14, 686, 20, 172, 9, 9, 0], [0, 8, 17, 145, 69, 636, 42, 630, 90, 116, 37, 1, 1], [0, 8, 18, 132, 136, 448, 364, 280, 328, 24, 50, 4, 0], [0, 8, 18, 133, 128, 476, 308, 350, 272, 52, 42, 5, 0], [0, 8, 18, 134, 120, 504, 252, 420, 216, 80, 34, 6, 0], [0, 8, 18, 135, 112, 532, 196, 490, 160, 108, 26, 7, 0], [0, 8, 18, 136, 104, 560, 140, 560, 104, 136, 18, 8, 0], [0, 8, 18, 136, 105, 552, 168, 504, 174, 80, 46, 0, 1], [0, 8, 18, 137, 96, 588, 84, 630, 48, 164, 10, 9, 0], [0, 8, 18, 137, 97, 580, 112, 574, 118, 108, 38, 1, 1], [0, 8, 18, 138, 89, 608, 56, 644, 62, 136, 30, 2, 1], [0, 8, 18, 139, 81, 636, 0, 714, 6, 164, 22, 3, 1], [0, 8, 19, 124, 164, 392, 434, 224, 356, 16, 51, 4, 0], [0, 8, 19, 125, 156, 420, 378, 294, 300, 44, 43, 5, 0], [0, 8, 19, 126, 148, 448, 322, 364, 244, 72, 35, 6, 0], [0, 8, 19, 127, 140, 476, 266, 434, 188, 100, 27, 7, 0], [0, 8, 19, 128, 132, 504, 210, 504, 132, 128, 19, 8, 0], [0, 8, 19, 128, 133, 496, 238, 448, 202, 72, 47, 0, 1], [0, 8, 19, 129, 124, 532, 154, 574, 76, 156, 11, 9, 0], [0, 8, 19, 129, 125, 524, 182, 518, 146, 100, 39, 1, 1], [0, 8, 19, 130, 116, 560, 98, 644, 20, 184, 3, 10, 0], [0, 8, 19, 130, 117, 552, 126, 588, 90, 128, 31, 2, 1], [0, 8, 19, 131, 109, 580, 70, 658, 34, 156, 23, 3, 1], [0, 8, 20, 116, 192, 336, 504, 168, 384, 8, 52, 4, 0], [0, 8, 20, 117, 184, 364, 448, 238, 328, 36, 44, 5, 0], [0, 8, 20, 118, 176, 392, 392, 308, 272, 64, 36, 6, 0], [0, 8, 20, 119, 168, 420, 336, 378, 216, 92, 28, 7, 0], [0, 8, 20, 120, 160, 448, 280, 448, 160, 120, 20, 8, 0], [0, 8, 20, 120, 161, 440, 308, 392, 230, 64, 48, 0, 1], [0, 8, 20, 121, 152, 476, 224, 518, 104, 148, 12, 9, 0], [0, 8, 20, 121, 153, 468, 252, 462, 174, 92, 40, 1, 1], [0, 8, 20, 122, 144, 504, 168, 588, 48, 176, 4, 10, 0], [0, 8, 20, 122, 145, 496, 196, 532, 118, 120, 32, 2, 1], [0, 8, 20, 123, 137, 524, 140, 602, 62, 148, 24, 3, 1], [0, 8, 20, 124, 129, 552, 84, 672, 6, 176, 16, 4, 1], [0, 8, 21, 108, 220, 280, 574, 112, 412, 0, 53, 4, 0], [0, 8, 21, 109, 212, 308, 518, 182, 356, 28, 45, 5, 0], [0, 8, 21, 110, 204, 336, 462, 252, 300, 56, 37, 6, 0], [0, 8, 21, 111, 196, 364, 406, 322, 244, 84, 29, 7, 0], [0, 8, 21, 112, 188, 392, 350, 392, 188, 112, 21, 8, 0], [0, 8, 21, 112, 189, 384, 378, 336, 258, 56, 49, 0, 1], [0, 8, 21, 113, 180, 420, 294, 462, 132, 140, 13, 9, 0], [0, 8, 21, 113, 181, 412, 322, 406, 202, 84, 41, 1, 1], [0, 8, 21, 114, 172, 448, 238, 532, 76, 168, 5, 10, 0], [0, 8, 21, 114, 173, 440, 266, 476, 146, 112, 33, 2, 1], [0, 8, 21, 115, 165, 468, 210, 546, 90, 140, 25, 3, 1], [0, 8, 21, 116, 157, 496, 154, 616, 34, 168, 17, 4, 1], [0, 8, 22, 101, 240, 252, 588, 126, 384, 20, 46, 5, 0], [0, 8, 22, 102, 232, 280, 532, 196, 328, 48, 38, 6, 0], [0, 8, 22, 103, 224, 308, 476, 266, 272, 76, 30, 7, 0], [0, 8, 22, 104, 216, 336, 420, 336, 216, 104, 22, 8, 0], [0, 8, 22, 104, 217, 328, 448, 280, 286, 48, 50, 0, 1], [0, 8, 22, 105, 208, 364, 364, 406, 160, 132, 14, 9, 0], [0, 8, 22, 105, 209, 356, 392, 350, 230, 76, 42, 1, 1], [0, 8, 22, 106, 200, 392, 308, 476, 104, 160, 6, 10, 0], [0, 8, 22, 106, 201, 384, 336, 420, 174, 104, 34, 2, 1], [0, 8, 22, 107, 193, 412, 280, 490, 118, 132, 26, 3, 1], [0, 8, 22, 108, 185, 440, 224, 560, 62, 160, 18, 4, 1], [0, 8, 22, 109, 177, 468, 168, 630, 6, 188, 10, 5, 1], [0, 8, 23, 93, 268, 196, 658, 70, 412, 12, 47, 5, 0], [0, 8, 23, 94, 260, 224, 602, 140, 356, 40, 39, 6, 0], [0, 8, 23, 95, 252, 252, 546, 210, 300, 68, 31, 7, 0], [0, 8, 23, 96, 244, 280, 490, 280, 244, 96, 23, 8, 0], [0, 8, 23, 96, 245, 272, 518, 224, 314, 40, 51, 0, 1], [0, 8, 23, 97, 236, 308, 434, 350, 188, 124, 15, 9, 0], [0, 8, 23, 97, 237, 300, 462, 294, 258, 68, 43, 1, 1], [0, 8, 23, 98, 228, 336, 378, 420, 132, 152, 7, 10, 0], [0, 8, 23, 98, 229, 328, 406, 364, 202, 96, 35, 2, 1], [0, 8, 23, 99, 221, 356, 350, 434, 146, 124, 27, 3, 1], [0, 8, 23, 100, 213, 384, 294, 504, 90, 152, 19, 4, 1], [0, 8, 23, 101, 205, 412, 238, 574, 34, 180, 11, 5, 1], [0, 8, 24, 85, 296, 140, 728, 14, 440, 4, 48, 5, 0], [0, 8, 24, 86, 288, 168, 672, 84, 384, 32, 40, 6, 0], [0, 8, 24, 87, 280, 196, 616, 154, 328, 60, 32, 7, 0], [0, 8, 24, 88, 272, 224, 560, 224, 272, 88, 24, 8, 0], [0, 8, 24, 88, 273, 216, 588, 168, 342, 32, 52, 0, 1], [0, 8, 24, 89, 264, 252, 504, 294, 216, 116, 16, 9, 0], [0, 8, 24, 89, 265, 244, 532, 238, 286, 60, 44, 1, 1], [0, 8, 24, 90, 256, 280, 448, 364, 160, 144, 8, 10, 0], [0, 8, 24, 90, 257, 272, 476, 308, 230, 88, 36, 2, 1], [0, 8, 24, 91, 248, 308, 392, 434, 104, 172, 0, 11, 0], [0, 8, 24, 91, 249, 300, 420, 378, 174, 116, 28, 3, 1], [0, 8, 24, 92, 241, 328, 364, 448, 118, 144, 20, 4, 1], [0, 8, 24, 93, 233, 356, 308, 518, 62, 172, 12, 5, 1], [0, 8, 24, 94, 225, 384, 252, 588, 6, 200, 4, 6, 1], [0, 8, 25, 78, 316, 112, 742, 28, 412, 24, 41, 6, 0], [0, 8, 25, 79, 308, 140, 686, 98, 356, 52, 33, 7, 0], [0, 8, 25, 80, 300, 168, 630, 168, 300, 80, 25, 8, 0], [0, 8, 25, 80, 301, 160, 658, 112, 370, 24, 53, 0, 1], [0, 8, 25, 81, 292, 196, 574, 238, 244, 108, 17, 9, 0], [0, 8, 25, 81, 293, 188, 602, 182, 314, 52, 45, 1, 1], [0, 8, 25, 82, 284, 224, 518, 308, 188, 136, 9, 10, 0], [0, 8, 25, 82, 285, 216, 546, 252, 258, 80, 37, 2, 1], [0, 8, 25, 83, 276, 252, 462, 378, 132, 164, 1, 11, 0], [0, 8, 25, 83, 277, 244, 490, 322, 202, 108, 29, 3, 1], [0, 8, 25, 84, 269, 272, 434, 392, 146, 136, 21, 4, 1], [0, 8, 25, 85, 261, 300, 378, 462, 90, 164, 13, 5, 1], [0, 8, 25, 86, 253, 328, 322, 532, 34, 192, 5, 6, 1], [0, 8, 26, 71, 336, 84, 756, 42, 384, 44, 34, 7, 0], [0, 8, 26, 72, 328, 112, 700, 112, 328, 72, 26, 8, 0], [0, 8, 26, 72, 329, 104, 728, 56, 398, 16, 54, 0, 1], [0, 8, 26, 73, 320, 140, 644, 182, 272, 100, 18, 9, 0], [0, 8, 26, 73, 321, 132, 672, 126, 342, 44, 46, 1, 1], [0, 8, 26, 74, 312, 168, 588, 252, 216, 128, 10, 10, 0], [0, 8, 26, 74, 313, 160, 616, 196, 286, 72, 38, 2, 1], [0, 8, 26, 75, 304, 196, 532, 322, 160, 156, 2, 11, 0], [0, 8, 26, 75, 305, 188, 560, 266, 230, 100, 30, 3, 1], [0, 8, 26, 76, 297, 216, 504, 336, 174, 128, 22, 4, 1], [0, 8, 26, 77, 289, 244, 448, 406, 118, 156, 14, 5, 1], [0, 8, 26, 78, 281, 272, 392, 476, 62, 184, 6, 6, 1], [0, 8, 26, 80, 266, 320, 308, 560, 20, 184, 18, 0, 2], [0, 8, 27, 64, 356, 56, 770, 56, 356, 64, 27, 8, 0], [0, 8, 27, 64, 357, 48, 798, 0, 426, 8, 55, 0, 1], [0, 8, 27, 65, 348, 84, 714, 126, 300, 92, 19, 9, 0], [0, 8, 27, 65, 349, 76, 742, 70, 370, 36, 47, 1, 1], [0, 8, 27, 66, 340, 112, 658, 196, 244, 120, 11, 10, 0], [0, 8, 27, 66, 341, 104, 686, 140, 314, 64, 39, 2, 1], [0, 8, 27, 67, 332, 140, 602, 266, 188, 148, 3, 11, 0], [0, 8, 27, 67, 333, 132, 630, 210, 258, 92, 31, 3, 1], [0, 8, 27, 68, 325, 160, 574, 280, 202, 120, 23, 4, 1], [0, 8, 27, 69, 317, 188, 518, 350, 146, 148, 15, 5, 1], [0, 8, 27, 70, 309, 216, 462, 420, 90, 176, 7, 6, 1], [0, 8, 27, 72, 294, 264, 378, 504, 48, 176, 19, 0, 2], [0, 8, 28, 56, 384, 0, 840, 0, 384, 56, 28, 8, 0], [0, 8, 28, 57, 376, 28, 784, 70, 328, 84, 20, 9, 0], [0, 8, 28, 57, 377, 20, 812, 14, 398, 28, 48, 1, 1], [0, 8, 28, 58, 368, 56, 728, 140, 272, 112, 12, 10, 0], [0, 8, 28, 58, 369, 48, 756, 84, 342, 56, 40, 2, 1], [0, 8, 28, 59, 360, 84, 672, 210, 216, 140, 4, 11, 0], [0, 8, 28, 59, 361, 76, 700, 154, 286, 84, 32, 3, 1], [0, 8, 28, 60, 353, 104, 644, 224, 230, 112, 24, 4, 1], [0, 8, 28, 61, 345, 132, 588, 294, 174, 140, 16, 5, 1], [0, 8, 28, 62, 337, 160, 532, 364, 118, 168, 8, 6, 1], [0, 8, 28, 63, 329, 188, 476, 434, 62, 196, 0, 7, 1], [0, 8, 28, 64, 322, 208, 448, 448, 76, 168, 20, 0, 2], [0, 8, 28, 65, 314, 236, 392, 518, 20, 196, 12, 1, 2], [0, 8, 29, 50, 396, 0, 798, 84, 300, 104, 13, 10, 0], [0, 8, 29, 51, 388, 28, 742, 154, 244, 132, 5, 11, 0], [0, 8, 29, 51, 389, 20, 770, 98, 314, 76, 33, 3, 1], [0, 8, 29, 52, 381, 48, 714, 168, 258, 104, 25, 4, 1], [0, 8, 29, 53, 373, 76, 658, 238, 202, 132, 17, 5, 1], [0, 8, 29, 54, 365, 104, 602, 308, 146, 160, 9, 6, 1], [0, 8, 29, 55, 357, 132, 546, 378, 90, 188, 1, 7, 1], [0, 8, 29, 56, 350, 152, 518, 392, 104, 160, 21, 0, 2], [0, 8, 29, 57, 342, 180, 462, 462, 48, 188, 13, 1, 2], [0, 8, 30, 45, 401, 20, 728, 182, 230, 124, 18, 5, 1], [0, 8, 30, 46, 393, 48, 672, 252, 174, 152, 10, 6, 1], [0, 8, 30, 47, 385, 76, 616, 322, 118, 180, 2, 7, 1], [0, 8, 30, 48, 378, 96, 588, 336, 132, 152, 22, 0, 2], [0, 8, 30, 49, 370, 124, 532, 406, 76, 180, 14, 1, 2], [0, 8, 30, 50, 362, 152, 476, 476, 20, 208, 6, 2, 2], [0, 8, 31, 39, 413, 20, 686, 266, 146, 172, 3, 7, 1], [0, 8, 31, 40, 406, 40, 658, 280, 160, 144, 23, 0, 2], [0, 8, 31, 41, 398, 68, 602, 350, 104, 172, 15, 1, 2], [0, 8, 31, 42, 390, 96, 546, 420, 48, 200, 7, 2, 2], [0, 8, 32, 33, 426, 12, 672, 294, 132, 164, 16, 1, 2], [0, 8, 32, 34, 418, 40, 616, 364, 76, 192, 8, 2, 2], [0, 8, 32, 35, 410, 68, 560, 434, 20, 220, 0, 3, 2], [0, 8, 33, 27, 438, 12, 630, 378, 48, 212, 1, 3, 2], [0, 9, 7, 183, 4, 658, 154, 406, 292, 21, 55, 3, 0], [0, 9, 8, 175, 32, 602, 224, 350, 320, 13, 56, 3, 0], [0, 9, 8, 176, 24, 630, 168, 420, 264, 41, 48, 4, 0], [0, 9, 8, 177, 16, 658, 112, 490, 208, 69, 40, 5, 0], [0, 9, 8, 178, 8, 686, 56, 560, 152, 97, 32, 6, 0], [0, 9, 8, 179, 0, 714, 0, 630, 96, 125, 24, 7, 0], [0, 9, 9, 167, 60, 546, 294, 294, 348, 5, 57, 3, 0], [0, 9, 9, 168, 52, 574, 238, 364, 292, 33, 49, 4, 0], [0, 9, 9, 169, 44, 602, 182, 434, 236, 61, 41, 5, 0], [0, 9, 9, 170, 36, 630, 126, 504, 180, 89, 33, 6, 0], [0, 9, 9, 171, 28, 658, 70, 574, 124, 117, 25, 7, 0], [0, 9, 9, 172, 20, 686, 14, 644, 68, 145, 17, 8, 0], [0, 9, 9, 172, 21, 678, 42, 588, 138, 89, 45, 0, 1], [0, 9, 10, 160, 80, 518, 308, 308, 320, 25, 50, 4, 0], [0, 9, 10, 161, 72, 546, 252, 378, 264, 53, 42, 5, 0], [0, 9, 10, 162, 64, 574, 196, 448, 208, 81, 34, 6, 0], [0, 9, 10, 163, 56, 602, 140, 518, 152, 109, 26, 7, 0], [0, 9, 10, 164, 48, 630, 84, 588, 96, 137, 18, 8, 0], [0, 9, 10, 164, 49, 622, 112, 532, 166, 81, 46, 0, 1], [0, 9, 10, 165, 40, 658, 28, 658, 40, 165, 10, 9, 0], [0, 9, 10, 165, 41, 650, 56, 602, 110, 109, 38, 1, 1], [0, 9, 10, 166, 33, 678, 0, 672, 54, 137, 30, 2, 1], [0, 9, 11, 152, 108, 462, 378, 252, 348, 17, 51, 4, 0], [0, 9, 11, 153, 100, 490, 322, 322, 292, 45, 43, 5, 0], [0, 9, 11, 154, 92, 518, 266, 392, 236, 73, 35, 6, 0], [0, 9, 11, 155, 84, 546, 210, 462, 180, 101, 27, 7, 0], [0, 9, 11, 156, 76, 574, 154, 532, 124, 129, 19, 8, 0], [0, 9, 11, 156, 77, 566, 182, 476, 194, 73, 47, 0, 1], [0, 9, 11, 157, 68, 602, 98, 602, 68, 157, 11, 9, 0], [0, 9, 11, 157, 69, 594, 126, 546, 138, 101, 39, 1, 1], [0, 9, 11, 158, 60, 630, 42, 672, 12, 185, 3, 10, 0], [0, 9, 11, 158, 61, 622, 70, 616, 82, 129, 31, 2, 1], [0, 9, 11, 159, 53, 650, 14, 686, 26, 157, 23, 3, 1], [0, 9, 12, 144, 136, 406, 448, 196, 376, 9, 52, 4, 0], [0, 9, 12, 145, 128, 434, 392, 266, 320, 37, 44, 5, 0], [0, 9, 12, 146, 120, 462, 336, 336, 264, 65, 36, 6, 0], [0, 9, 12, 147, 112, 490, 280, 406, 208, 93, 28, 7, 0], [0, 9, 12, 148, 104, 518, 224, 476, 152, 121, 20, 8, 0], [0, 9, 12, 148, 105, 510, 252, 420, 222, 65, 48, 0, 1], [0, 9, 12, 149, 96, 546, 168, 546, 96, 149, 12, 9, 0], [0, 9, 12, 149, 97, 538, 196, 490, 166, 93, 40, 1, 1], [0, 9, 12, 150, 88, 574, 112, 616, 40, 177, 4, 10, 0], [0, 9, 12, 150, 89, 566, 140, 560, 110, 121, 32, 2, 1], [0, 9, 12, 151, 81, 594, 84, 630, 54, 149, 24, 3, 1], [0, 9, 13, 136, 164, 350, 518, 140, 404, 1, 53, 4, 0], [0, 9, 13, 137, 156, 378, 462, 210, 348, 29, 45, 5, 0], [0, 9, 13, 138, 148, 406, 406, 280, 292, 57, 37, 6, 0], [0, 9, 13, 139, 140, 434, 350, 350, 236, 85, 29, 7, 0], [0, 9, 13, 140, 132, 462, 294, 420, 180, 113, 21, 8, 0], [0, 9, 13, 140, 133, 454, 322, 364, 250, 57, 49, 0, 1], [0, 9, 13, 141, 124, 490, 238, 490, 124, 141, 13, 9, 0], [0, 9, 13, 141, 125, 482, 266, 434, 194, 85, 41, 1, 1], [0, 9, 13, 142, 116, 518, 182, 560, 68, 169, 5, 10, 0], [0, 9, 13, 142, 117, 510, 210, 504, 138, 113, 33, 2, 1], [0, 9, 13, 143, 109, 538, 154, 574, 82, 141, 25, 3, 1], [0, 9, 13, 144, 101, 566, 98, 644, 26, 169, 17, 4, 1], [0, 9, 14, 129, 184, 322, 532, 154, 376, 21, 46, 5, 0], [0, 9, 14, 130, 176, 350, 476, 224, 320, 49, 38, 6, 0], [0, 9, 14, 131, 168, 378, 420, 294, 264, 77, 30, 7, 0], [0, 9, 14, 132, 160, 406, 364, 364, 208, 105, 22, 8, 0], [0, 9, 14, 132, 161, 398, 392, 308, 278, 49, 50, 0, 1], [0, 9, 14, 133, 152, 434, 308, 434, 152, 133, 14, 9, 0], [0, 9, 14, 133, 153, 426, 336, 378, 222, 77, 42, 1, 1], [0, 9, 14, 134, 144, 462, 252, 504, 96, 161, 6, 10, 0], [0, 9, 14, 134, 145, 454, 280, 448, 166, 105, 34, 2, 1], [0, 9, 14, 135, 137, 482, 224, 518, 110, 133, 26, 3, 1], [0, 9, 14, 136, 129, 510, 168, 588, 54, 161, 18, 4, 1], [0, 9, 15, 121, 212, 266, 602, 98, 404, 13, 47, 5, 0], [0, 9, 15, 122, 204, 294, 546, 168, 348, 41, 39, 6, 0], [0, 9, 15, 123, 196, 322, 490, 238, 292, 69, 31, 7, 0], [0, 9, 15, 124, 188, 350, 434, 308, 236, 97, 23, 8, 0], [0, 9, 15, 124, 189, 342, 462, 252, 306, 41, 51, 0, 1], [0, 9, 15, 125, 180, 378, 378, 378, 180, 125, 15, 9, 0], [0, 9, 15, 125, 181, 370, 406, 322, 250, 69, 43, 1, 1], [0, 9, 15, 126, 172, 406, 322, 448, 124, 153, 7, 10, 0], [0, 9, 15, 126, 173, 398, 350, 392, 194, 97, 35, 2, 1], [0, 9, 15, 127, 165, 426, 294, 462, 138, 125, 27, 3, 1], [0, 9, 15, 128, 157, 454, 238, 532, 82, 153, 19, 4, 1], [0, 9, 15, 129, 149, 482, 182, 602, 26, 181, 11, 5, 1], [0, 9, 16, 113, 240, 210, 672, 42, 432, 5, 48, 5, 0], [0, 9, 16, 114, 232, 238, 616, 112, 376, 33, 40, 6, 0], [0, 9, 16, 115, 224, 266, 560, 182, 320, 61, 32, 7, 0], [0, 9, 16, 116, 216, 294, 504, 252, 264, 89, 24, 8, 0], [0, 9, 16, 116, 217, 286, 532, 196, 334, 33, 52, 0, 1], [0, 9, 16, 117, 208, 322, 448, 322, 208, 117, 16, 9, 0], [0, 9, 16, 117, 209, 314, 476, 266, 278, 61, 44, 1, 1], [0, 9, 16, 118, 200, 350, 392, 392, 152, 145, 8, 10, 0], [0, 9, 16, 118, 201, 342, 420, 336, 222, 89, 36, 2, 1], [0, 9, 16, 119, 192, 378, 336, 462, 96, 173, 0, 11, 0], [0, 9, 16, 119, 193, 370, 364, 406, 166, 117, 28, 3, 1], [0, 9, 16, 120, 185, 398, 308, 476, 110, 145, 20, 4, 1], [0, 9, 16, 121, 177, 426, 252, 546, 54, 173, 12, 5, 1], [0, 9, 17, 106, 260, 182, 686, 56, 404, 25, 41, 6, 0], [0, 9, 17, 107, 252, 210, 630, 126, 348, 53, 33, 7, 0], [0, 9, 17, 108, 244, 238, 574, 196, 292, 81, 25, 8, 0], [0, 9, 17, 108, 245, 230, 602, 140, 362, 25, 53, 0, 1], [0, 9, 17, 109, 236, 266, 518, 266, 236, 109, 17, 9, 0], [0, 9, 17, 109, 237, 258, 546, 210, 306, 53, 45, 1, 1], [0, 9, 17, 110, 228, 294, 462, 336, 180, 137, 9, 10, 0], [0, 9, 17, 110, 229, 286, 490, 280, 250, 81, 37, 2, 1], [0, 9, 17, 111, 220, 322, 406, 406, 124, 165, 1, 11, 0], [0, 9, 17, 111, 221, 314, 434, 350, 194, 109, 29, 3, 1], [0, 9, 17, 112, 213, 342, 378, 420, 138, 137, 21, 4, 1], [0, 9, 17, 113, 205, 370, 322, 490, 82, 165, 13, 5, 1], [0, 9, 17, 114, 197, 398, 266, 560, 26, 193, 5, 6, 1], [0, 9, 18, 98, 288, 126, 756, 0, 432, 17, 42, 6, 0], [0, 9, 18, 99, 280, 154, 700, 70, 376, 45, 34, 7, 0], [0, 9, 18, 100, 272, 182, 644, 140, 320, 73, 26, 8, 0], [0, 9, 18, 100, 273, 174, 672, 84, 390, 17, 54, 0, 1], [0, 9, 18, 101, 264, 210, 588, 210, 264, 101, 18, 9, 0], [0, 9, 18, 101, 265, 202, 616, 154, 334, 45, 46, 1, 1], [0, 9, 18, 102, 256, 238, 532, 280, 208, 129, 10, 10, 0], [0, 9, 18, 102, 257, 230, 560, 224, 278, 73, 38, 2, 1], [0, 9, 18, 103, 248, 266, 476, 350, 152, 157, 2, 11, 0], [0, 9, 18, 103, 249, 258, 504, 294, 222, 101, 30, 3, 1], [0, 9, 18, 104, 241, 286, 448, 364, 166, 129, 22, 4, 1], [0, 9, 18, 105, 233, 314, 392, 434, 110, 157, 14, 5, 1], [0, 9, 18, 106, 225, 342, 336, 504, 54, 185, 6, 6, 1], [0, 9, 18, 108, 210, 390, 252, 588, 12, 185, 18, 0, 2], [0, 9, 19, 91, 308, 98, 770, 14, 404, 37, 35, 7, 0], [0, 9, 19, 92, 300, 126, 714, 84, 348, 65, 27, 8, 0], [0, 9, 19, 92, 301, 118, 742, 28, 418, 9, 55, 0, 1], [0, 9, 19, 93, 292, 154, 658, 154, 292, 93, 19, 9, 0], [0, 9, 19, 93, 293, 146, 686, 98, 362, 37, 47, 1, 1], [0, 9, 19, 94, 284, 182, 602, 224, 236, 121, 11, 10, 0], [0, 9, 19, 94, 285, 174, 630, 168, 306, 65, 39, 2, 1], [0, 9, 19, 95, 276, 210, 546, 294, 180, 149, 3, 11, 0], [0, 9, 19, 95, 277, 202, 574, 238, 250, 93, 31, 3, 1], [0, 9, 19, 96, 269, 230, 518, 308, 194, 121, 23, 4, 1], [0, 9, 19, 97, 261, 258, 462, 378, 138, 149, 15, 5, 1], [0, 9, 19, 98, 253, 286, 406, 448, 82, 177, 7, 6, 1], [0, 9, 19, 100, 238, 334, 322, 532, 40, 177, 19, 0, 2], [0, 9, 20, 84, 328, 70, 784, 28, 376, 57, 28, 8, 0], [0, 9, 20, 85, 320, 98, 728, 98, 320, 85, 20, 9, 0], [0, 9, 20, 85, 321, 90, 756, 42, 390, 29, 48, 1, 1], [0, 9, 20, 86, 312, 126, 672, 168, 264, 113, 12, 10, 0], [0, 9, 20, 86, 313, 118, 700, 112, 334, 57, 40, 2, 1], [0, 9, 20, 87, 304, 154, 616, 238, 208, 141, 4, 11, 0], [0, 9, 20, 87, 305, 146, 644, 182, 278, 85, 32, 3, 1], [0, 9, 20, 88, 297, 174, 588, 252, 222, 113, 24, 4, 1], [0, 9, 20, 89, 289, 202, 532, 322, 166, 141, 16, 5, 1], [0, 9, 20, 90, 281, 230, 476, 392, 110, 169, 8, 6, 1], [0, 9, 20, 91, 273, 258, 420, 462, 54, 197, 0, 7, 1], [0, 9, 20, 92, 266, 278, 392, 476, 68, 169, 20, 0, 2], [0, 9, 20, 93, 258, 306, 336, 546, 12, 197, 12, 1, 2], [0, 9, 21, 77, 348, 42, 798, 42, 348, 77, 21, 9, 0], [0, 9, 21, 78, 340, 70, 742, 112, 292, 105, 13, 10, 0], [0, 9, 21, 78, 341, 62, 770, 56, 362, 49, 41, 2, 1], [0, 9, 21, 79, 332, 98, 686, 182, 236, 133, 5, 11, 0], [0, 9, 21, 79, 333, 90, 714, 126, 306, 77, 33, 3, 1], [0, 9, 21, 80, 325, 118, 658, 196, 250, 105, 25, 4, 1], [0, 9, 21, 81, 317, 146, 602, 266, 194, 133, 17, 5, 1], [0, 9, 21, 82, 309, 174, 546, 336, 138, 161, 9, 6, 1], [0, 9, 21, 83, 301, 202, 490, 406, 82, 189, 1, 7, 1], [0, 9, 21, 84, 294, 222, 462, 420, 96, 161, 21, 0, 2], [0, 9, 21, 85, 286, 250, 406, 490, 40, 189, 13, 1, 2], [0, 9, 22, 70, 368, 14, 812, 56, 320, 97, 14, 10, 0], [0, 9, 22, 70, 369, 6, 840, 0, 390, 41, 42, 2, 1], [0, 9, 22, 71, 360, 42, 756, 126, 264, 125, 6, 11, 0], [0, 9, 22, 71, 361, 34, 784, 70, 334, 69, 34, 3, 1], [0, 9, 22, 72, 353, 62, 728, 140, 278, 97, 26, 4, 1], [0, 9, 22, 73, 345, 90, 672, 210, 222, 125, 18, 5, 1], [0, 9, 22, 74, 337, 118, 616, 280, 166, 153, 10, 6, 1], [0, 9, 22, 75, 329, 146, 560, 350, 110, 181, 2, 7, 1], [0, 9, 22, 76, 322, 166, 532, 364, 124, 153, 22, 0, 2], [0, 9, 22, 77, 314, 194, 476, 434, 68, 181, 14, 1, 2], [0, 9, 22, 78, 306, 222, 420, 504, 12, 209, 6, 2, 2], [0, 9, 23, 64, 381, 6, 798, 84, 306, 89, 27, 4, 1], [0, 9, 23, 65, 373, 34, 742, 154, 250, 117, 19, 5, 1], [0, 9, 23, 66, 365, 62, 686, 224, 194, 145, 11, 6, 1], [0, 9, 23, 67, 357, 90, 630, 294, 138, 173, 3, 7, 1], [0, 9, 23, 68, 350, 110, 602, 308, 152, 145, 23, 0, 2], [0, 9, 23, 69, 342, 138, 546, 378, 96, 173, 15, 1, 2], [0, 9, 23, 70, 334, 166, 490, 448, 40, 201, 7, 2, 2], [0, 9, 24, 58, 393, 6, 756, 168, 222, 137, 12, 6, 1], [0, 9, 24, 59, 385, 34, 700, 238, 166, 165, 4, 7, 1], [0, 9, 24, 60, 378, 54, 672, 252, 180, 137, 24, 0, 2], [0, 9, 24, 61, 370, 82, 616, 322, 124, 165, 16, 1, 2], [0, 9, 24, 62, 362, 110, 560, 392, 68, 193, 8, 2, 2], [0, 9, 24, 63, 354, 138, 504, 462, 12, 221, 0, 3, 2], [0, 9, 25, 53, 398, 26, 686, 266, 152, 157, 17, 1, 2], [0, 9, 25, 54, 390, 54, 630, 336, 96, 185, 9, 2, 2], [0, 9, 25, 55, 382, 82, 574, 406, 40, 213, 1, 3, 2], [0, 9, 26, 47, 410, 26, 644, 350, 68, 205, 2, 3, 2], [0, 10, 1, 195, 4, 616, 238, 322, 340, 6, 57, 3, 0], [0, 10, 2, 188, 24, 588, 252, 336, 312, 26, 50, 4, 0], [0, 10, 2, 189, 16, 616, 196, 406, 256, 54, 42, 5, 0], [0, 10, 2, 190, 8, 644, 140, 476, 200, 82, 34, 6, 0], [0, 10, 2, 191, 0, 672, 84, 546, 144, 110, 26, 7, 0], [0, 10, 3, 180, 52, 532, 322, 280, 340, 18, 51, 4, 0], [0, 10, 3, 181, 44, 560, 266, 350, 284, 46, 43, 5, 0], [0, 10, 3, 182, 36, 588, 210, 420, 228, 74, 35, 6, 0], [0, 10, 3, 183, 28, 616, 154, 490, 172, 102, 27, 7, 0], [0, 10, 3, 184, 20, 644, 98, 560, 116, 130, 19, 8, 0], [0, 10, 3, 184, 21, 636, 126, 504, 186, 74, 47, 0, 1], [0, 10, 3, 185, 12, 672, 42, 630, 60, 158, 11, 9, 0], [0, 10, 3, 185, 13, 664, 70, 574, 130, 102, 39, 1, 1], [0, 10, 3, 186, 5, 692, 14, 644, 74, 130, 31, 2, 1], [0, 10, 4, 172, 80, 476, 392, 224, 368, 10, 52, 4, 0], [0, 10, 4, 173, 72, 504, 336, 294, 312, 38, 44, 5, 0], [0, 10, 4, 174, 64, 532, 280, 364, 256, 66, 36, 6, 0], [0, 10, 4, 175, 56, 560, 224, 434, 200, 94, 28, 7, 0], [0, 10, 4, 176, 48, 588, 168, 504, 144, 122, 20, 8, 0], [0, 10, 4, 176, 49, 580, 196, 448, 214, 66, 48, 0, 1], [0, 10, 4, 177, 40, 616, 112, 574, 88, 150, 12, 9, 0], [0, 10, 4, 177, 41, 608, 140, 518, 158, 94, 40, 1, 1], [0, 10, 4, 178, 32, 644, 56, 644, 32, 178, 4, 10, 0], [0, 10, 4, 178, 33, 636, 84, 588, 102, 122, 32, 2, 1], [0, 10, 4, 179, 25, 664, 28, 658, 46, 150, 24, 3, 1], [0, 10, 5, 164, 108, 420, 462, 168, 396, 2, 53, 4, 0], [0, 10, 5, 165, 100, 448, 406, 238, 340, 30, 45, 5, 0], [0, 10, 5, 166, 92, 476, 350, 308, 284, 58, 37, 6, 0], [0, 10, 5, 167, 84, 504, 294, 378, 228, 86, 29, 7, 0], [0, 10, 5, 168, 76, 532, 238, 448, 172, 114, 21, 8, 0], [0, 10, 5, 168, 77, 524, 266, 392, 242, 58, 49, 0, 1], [0, 10, 5, 169, 68, 560, 182, 518, 116, 142, 13, 9, 0], [0, 10, 5, 169, 69, 552, 210, 462, 186, 86, 41, 1, 1], [0, 10, 5, 170, 60, 588, 126, 588, 60, 170, 5, 10, 0], [0, 10, 5, 170, 61, 580, 154, 532, 130, 114, 33, 2, 1], [0, 10, 5, 171, 53, 608, 98, 602, 74, 142, 25, 3, 1], [0, 10, 5, 172, 45, 636, 42, 672, 18, 170, 17, 4, 1], [0, 10, 6, 157, 128, 392, 476, 182, 368, 22, 46, 5, 0], [0, 10, 6, 158, 120, 420, 420, 252, 312, 50, 38, 6, 0], [0, 10, 6, 159, 112, 448, 364, 322, 256, 78, 30, 7, 0], [0, 10, 6, 160, 104, 476, 308, 392, 200, 106, 22, 8, 0], [0, 10, 6, 160, 105, 468, 336, 336, 270, 50, 50, 0, 1], [0, 10, 6, 161, 96, 504, 252, 462, 144, 134, 14, 9, 0], [0, 10, 6, 161, 97, 496, 280, 406, 214, 78, 42, 1, 1], [0, 10, 6, 162, 88, 532, 196, 532, 88, 162, 6, 10, 0], [0, 10, 6, 162, 89, 524, 224, 476, 158, 106, 34, 2, 1], [0, 10, 6, 163, 81, 552, 168, 546, 102, 134, 26, 3, 1], [0, 10, 6, 164, 73, 580, 112, 616, 46, 162, 18, 4, 1], [0, 10, 7, 149, 156, 336, 546, 126, 396, 14, 47, 5, 0], [0, 10, 7, 150, 148, 364, 490, 196, 340, 42, 39, 6, 0], [0, 10, 7, 151, 140, 392, 434, 266, 284, 70, 31, 7, 0], [0, 10, 7, 152, 132, 420, 378, 336, 228, 98, 23, 8, 0], [0, 10, 7, 152, 133, 412, 406, 280, 298, 42, 51, 0, 1], [0, 10, 7, 153, 124, 448, 322, 406, 172, 126, 15, 9, 0], [0, 10, 7, 153, 125, 440, 350, 350, 242, 70, 43, 1, 1], [0, 10, 7, 154, 116, 476, 266, 476, 116, 154, 7, 10, 0], [0, 10, 7, 154, 117, 468, 294, 420, 186, 98, 35, 2, 1], [0, 10, 7, 155, 109, 496, 238, 490, 130, 126, 27, 3, 1], [0, 10, 7, 156, 101, 524, 182, 560, 74, 154, 19, 4, 1], [0, 10, 7, 157, 93, 552, 126, 630, 18, 182, 11, 5, 1], [0, 10, 8, 141, 184, 280, 616, 70, 424, 6, 48, 5, 0], [0, 10, 8, 142, 176, 308, 560, 140, 368, 34, 40, 6, 0], [0, 10, 8, 143, 168, 336, 504, 210, 312, 62, 32, 7, 0], [0, 10, 8, 144, 160, 364, 448, 280, 256, 90, 24, 8, 0], [0, 10, 8, 144, 161, 356, 476, 224, 326, 34, 52, 0, 1], [0, 10, 8, 145, 152, 392, 392, 350, 200, 118, 16, 9, 0], [0, 10, 8, 145, 153, 384, 420, 294, 270, 62, 44, 1, 1], [0, 10, 8, 146, 144, 420, 336, 420, 144, 146, 8, 10, 0], [0, 10, 8, 146, 145, 412, 364, 364, 214, 90, 36, 2, 1], [0, 10, 8, 147, 136, 448, 280, 490, 88, 174, 0, 11, 0], [0, 10, 8, 147, 137, 440, 308, 434, 158, 118, 28, 3, 1], [0, 10, 8, 148, 129, 468, 252, 504, 102, 146, 20, 4, 1], [0, 10, 8, 149, 121, 496, 196, 574, 46, 174, 12, 5, 1], [0, 10, 9, 134, 204, 252, 630, 84, 396, 26, 41, 6, 0], [0, 10, 9, 135, 196, 280, 574, 154, 340, 54, 33, 7, 0], [0, 10, 9, 136, 188, 308, 518, 224, 284, 82, 25, 8, 0], [0, 10, 9, 136, 189, 300, 546, 168, 354, 26, 53, 0, 1], [0, 10, 9, 137, 180, 336, 462, 294, 228, 110, 17, 9, 0], [0, 10, 9, 137, 181, 328, 490, 238, 298, 54, 45, 1, 1], [0, 10, 9, 138, 172, 364, 406, 364, 172, 138, 9, 10, 0], [0, 10, 9, 138, 173, 356, 434, 308, 242, 82, 37, 2, 1], [0, 10, 9, 139, 164, 392, 350, 434, 116, 166, 1, 11, 0], [0, 10, 9, 139, 165, 384, 378, 378, 186, 110, 29, 3, 1], [0, 10, 9, 140, 157, 412, 322, 448, 130, 138, 21, 4, 1], [0, 10, 9, 141, 149, 440, 266, 518, 74, 166, 13, 5, 1], [0, 10, 9, 142, 141, 468, 210, 588, 18, 194, 5, 6, 1], [0, 10, 10, 126, 232, 196, 700, 28, 424, 18, 42, 6, 0], [0, 10, 10, 127, 224, 224, 644, 98, 368, 46, 34, 7, 0], [0, 10, 10, 128, 216, 252, 588, 168, 312, 74, 26, 8, 0], [0, 10, 10, 128, 217, 244, 616, 112, 382, 18, 54, 0, 1], [0, 10, 10, 129, 208, 280, 532, 238, 256, 102, 18, 9, 0], [0, 10, 10, 129, 209, 272, 560, 182, 326, 46, 46, 1, 1], [0, 10, 10, 130, 200, 308, 476, 308, 200, 130, 10, 10, 0], [0, 10, 10, 130, 201, 300, 504, 252, 270, 74, 38, 2, 1], [0, 10, 10, 131, 192, 336, 420, 378, 144, 158, 2, 11, 0], [0, 10, 10, 131, 193, 328, 448, 322, 214, 102, 30, 3, 1], [0, 10, 10, 132, 185, 356, 392, 392, 158, 130, 22, 4, 1], [0, 10, 10, 133, 177, 384, 336, 462, 102, 158, 14, 5, 1], [0, 10, 10, 134, 169, 412, 280, 532, 46, 186, 6, 6, 1], [0, 10, 10, 136, 154, 460, 196, 616, 4, 186, 18, 0, 2], [0, 10, 11, 119, 252, 168, 714, 42, 396, 38, 35, 7, 0], [0, 10, 11, 120, 244, 196, 658, 112, 340, 66, 27, 8, 0], [0, 10, 11, 120, 245, 188, 686, 56, 410, 10, 55, 0, 1], [0, 10, 11, 121, 236, 224, 602, 182, 284, 94, 19, 9, 0], [0, 10, 11, 121, 237, 216, 630, 126, 354, 38, 47, 1, 1], [0, 10, 11, 122, 228, 252, 546, 252, 228, 122, 11, 10, 0], [0, 10, 11, 122, 229, 244, 574, 196, 298, 66, 39, 2, 1], [0, 10, 11, 123, 220, 280, 490, 322, 172, 150, 3, 11, 0], [0, 10, 11, 123, 221, 272, 518, 266, 242, 94, 31, 3, 1], [0, 10, 11, 124, 213, 300, 462, 336, 186, 122, 23, 4, 1], [0, 10, 11, 125, 205, 328, 406, 406, 130, 150, 15, 5, 1], [0, 10, 11, 126, 197, 356, 350, 476, 74, 178, 7, 6, 1], [0, 10, 11, 128, 182, 404, 266, 560, 32, 178, 19, 0, 2], [0, 10, 12, 112, 272, 140, 728, 56, 368, 58, 28, 8, 0], [0, 10, 12, 112, 273, 132, 756, 0, 438, 2, 56, 0, 1], [0, 10, 12, 113, 264, 168, 672, 126, 312, 86, 20, 9, 0], [0, 10, 12, 113, 265, 160, 700, 70, 382, 30, 48, 1, 1], [0, 10, 12, 114, 256, 196, 616, 196, 256, 114, 12, 10, 0], [0, 10, 12, 114, 257, 188, 644, 140, 326, 58, 40, 2, 1], [0, 10, 12, 115, 248, 224, 560, 266, 200, 142, 4, 11, 0], [0, 10, 12, 115, 249, 216, 588, 210, 270, 86, 32, 3, 1], [0, 10, 12, 116, 241, 244, 532, 280, 214, 114, 24, 4, 1], [0, 10, 12, 117, 233, 272, 476, 350, 158, 142, 16, 5, 1], [0, 10, 12, 118, 225, 300, 420, 420, 102, 170, 8, 6, 1], [0, 10, 12, 119, 217, 328, 364, 490, 46, 198, 0, 7, 1], [0, 10, 12, 120, 210, 348, 336, 504, 60, 170, 20, 0, 2], [0, 10, 12, 121, 202, 376, 280, 574, 4, 198, 12, 1, 2], [0, 10, 13, 104, 300, 84, 798, 0, 396, 50, 29, 8, 0], [0, 10, 13, 105, 292, 112, 742, 70, 340, 78, 21, 9, 0], [0, 10, 13, 105, 293, 104, 770, 14, 410, 22, 49, 1, 1], [0, 10, 13, 106, 284, 140, 686, 140, 284, 106, 13, 10, 0], [0, 10, 13, 106, 285, 132, 714, 84, 354, 50, 41, 2, 1], [0, 10, 13, 107, 276, 168, 630, 210, 228, 134, 5, 11, 0], [0, 10, 13, 107, 277, 160, 658, 154, 298, 78, 33, 3, 1], [0, 10, 13, 108, 269, 188, 602, 224, 242, 106, 25, 4, 1], [0, 10, 13, 109, 261, 216, 546, 294, 186, 134, 17, 5, 1], [0, 10, 13, 110, 253, 244, 490, 364, 130, 162, 9, 6, 1], [0, 10, 13, 111, 245, 272, 434, 434, 74, 190, 1, 7, 1], [0, 10, 13, 112, 238, 292, 406, 448, 88, 162, 21, 0, 2], [0, 10, 13, 113, 230, 320, 350, 518, 32, 190, 13, 1, 2], [0, 10, 14, 97, 320, 56, 812, 14, 368, 70, 22, 9, 0], [0, 10, 14, 98, 312, 84, 756, 84, 312, 98, 14, 10, 0], [0, 10, 14, 98, 313, 76, 784, 28, 382, 42, 42, 2, 1], [0, 10, 14, 99, 304, 112, 700, 154, 256, 126, 6, 11, 0], [0, 10, 14, 99, 305, 104, 728, 98, 326, 70, 34, 3, 1], [0, 10, 14, 100, 297, 132, 672, 168, 270, 98, 26, 4, 1], [0, 10, 14, 101, 289, 160, 616, 238, 214, 126, 18, 5, 1], [0, 10, 14, 102, 281, 188, 560, 308, 158, 154, 10, 6, 1], [0, 10, 14, 103, 273, 216, 504, 378, 102, 182, 2, 7, 1], [0, 10, 14, 104, 266, 236, 476, 392, 116, 154, 22, 0, 2], [0, 10, 14, 105, 258, 264, 420, 462, 60, 182, 14, 1, 2], [0, 10, 14, 106, 250, 292, 364, 532, 4, 210, 6, 2, 2], [0, 10, 15, 90, 340, 28, 826, 28, 340, 90, 15, 10, 0], [0, 10, 15, 91, 332, 56, 770, 98, 284, 118, 7, 11, 0], [0, 10, 15, 91, 333, 48, 798, 42, 354, 62, 35, 3, 1], [0, 10, 15, 92, 325, 76, 742, 112, 298, 90, 27, 4, 1], [0, 10, 15, 93, 317, 104, 686, 182, 242, 118, 19, 5, 1], [0, 10, 15, 94, 309, 132, 630, 252, 186, 146, 11, 6, 1], [0, 10, 15, 95, 301, 160, 574, 322, 130, 174, 3, 7, 1], [0, 10, 15, 96, 294, 180, 546, 336, 144, 146, 23, 0, 2], [0, 10, 15, 97, 286, 208, 490, 406, 88, 174, 15, 1, 2], [0, 10, 15, 98, 278, 236, 434, 476, 32, 202, 7, 2, 2], [0, 10, 16, 83, 360, 0, 840, 42, 312, 110, 8, 11, 0], [0, 10, 16, 84, 352, 28, 784, 112, 256, 138, 0, 12, 0], [0, 10, 16, 84, 353, 20, 812, 56, 326, 82, 28, 4, 1], [0, 10, 16, 85, 345, 48, 756, 126, 270, 110, 20, 5, 1], [0, 10, 16, 86, 337, 76, 700, 196, 214, 138, 12, 6, 1], [0, 10, 16, 87, 329, 104, 644, 266, 158, 166, 4, 7, 1], [0, 10, 16, 88, 322, 124, 616, 280, 172, 138, 24, 0, 2], [0, 10, 16, 89, 314, 152, 560, 350, 116, 166, 16, 1, 2], [0, 10, 16, 90, 306, 180, 504, 420, 60, 194, 8, 2, 2], [0, 10, 16, 91, 298, 208, 448, 490, 4, 222, 0, 3, 2], [0, 10, 17, 78, 365, 20, 770, 140, 242, 130, 13, 6, 1], [0, 10, 17, 79, 357, 48, 714, 210, 186, 158, 5, 7, 1], [0, 10, 17, 80, 350, 68, 686, 224, 200, 130, 25, 0, 2], [0, 10, 17, 81, 342, 96, 630, 294, 144, 158, 17, 1, 2], [0, 10, 17, 82, 334, 124, 574, 364, 88, 186, 9, 2, 2], [0, 10, 17, 83, 326, 152, 518, 434, 32, 214, 1, 3, 2], [0, 10, 18, 72, 378, 12, 756, 168, 228, 122, 26, 0, 2], [0, 10, 18, 73, 370, 40, 700, 238, 172, 150, 18, 1, 2], [0, 10, 18, 74, 362, 68, 644, 308, 116, 178, 10, 2, 2], [0, 10, 18, 75, 354, 96, 588, 378, 60, 206, 2, 3, 2], [0, 10, 19, 66, 390, 12, 714, 252, 144, 170, 11, 2, 2], [0, 10, 19, 67, 382, 40, 658, 322, 88, 198, 3, 3, 2], [0, 11, 0, 169, 128, 350, 560, 98, 416, 7, 48, 5, 0], [0, 11, 0, 170, 120, 378, 504, 168, 360, 35, 40, 6, 0], [0, 11, 0, 171, 112, 406, 448, 238, 304, 63, 32, 7, 0], [0, 11, 0, 172, 104, 434, 392, 308, 248, 91, 24, 8, 0], [0, 11, 0, 172, 105, 426, 420, 252, 318, 35, 52, 0, 1], [0, 11, 0, 173, 96, 462, 336, 378, 192, 119, 16, 9, 0], [0, 11, 0, 173, 97, 454, 364, 322, 262, 63, 44, 1, 1], [0, 11, 0, 174, 88, 490, 280, 448, 136, 147, 8, 10, 0], [0, 11, 0, 174, 89, 482, 308, 392, 206, 91, 36, 2, 1], [0, 11, 0, 175, 80, 518, 224, 518, 80, 175, 0, 11, 0], [0, 11, 0, 175, 81, 510, 252, 462, 150, 119, 28, 3, 1], [0, 11, 0, 176, 73, 538, 196, 532, 94, 147, 20, 4, 1], [0, 11, 0, 177, 65, 566, 140, 602, 38, 175, 12, 5, 1], [0, 11, 1, 162, 148, 322, 574, 112, 388, 27, 41, 6, 0], [0, 11, 1, 163, 140, 350, 518, 182, 332, 55, 33, 7, 0], [0, 11, 1, 164, 132, 378, 462, 252, 276, 83, 25, 8, 0], [0, 11, 1, 164, 133, 370, 490, 196, 346, 27, 53, 0, 1], [0, 11, 1, 165, 124, 406, 406, 322, 220, 111, 17, 9, 0], [0, 11, 1, 165, 125, 398, 434, 266, 290, 55, 45, 1, 1], [0, 11, 1, 166, 116, 434, 350, 392, 164, 139, 9, 10, 0], [0, 11, 1, 166, 117, 426, 378, 336, 234, 83, 37, 2, 1], [0, 11, 1, 167, 108, 462, 294, 462, 108, 167, 1, 11, 0], [0, 11, 1, 167, 109, 454, 322, 406, 178, 111, 29, 3, 1], [0, 11, 1, 168, 101, 482, 266, 476, 122, 139, 21, 4, 1], [0, 11, 1, 169, 93, 510, 210, 546, 66, 167, 13, 5, 1], [0, 11, 1, 170, 85, 538, 154, 616, 10, 195, 5, 6, 1], [0, 11, 2, 154, 176, 266, 644, 56, 416, 19, 42, 6, 0], [0, 11, 2, 155, 168, 294, 588, 126, 360, 47, 34, 7, 0], [0, 11, 2, 156, 160, 322, 532, 196, 304, 75, 26, 8, 0], [0, 11, 2, 156, 161, 314, 560, 140, 374, 19, 54, 0, 1], [0, 11, 2, 157, 152, 350, 476, 266, 248, 103, 18, 9, 0], [0, 11, 2, 157, 153, 342, 504, 210, 318, 47, 46, 1, 1], [0, 11, 2, 158, 144, 378, 420, 336, 192, 131, 10, 10, 0], [0, 11, 2, 158, 145, 370, 448, 280, 262, 75, 38, 2, 1], [0, 11, 2, 159, 136, 406, 364, 406, 136, 159, 2, 11, 0], [0, 11, 2, 159, 137, 398, 392, 350, 206, 103, 30, 3, 1], [0, 11, 2, 160, 129, 426, 336, 420, 150, 131, 22, 4, 1], [0, 11, 2, 161, 121, 454, 280, 490, 94, 159, 14, 5, 1], [0, 11, 2, 162, 113, 482, 224, 560, 38, 187, 6, 6, 1], [0, 11, 3, 146, 204, 210, 714, 0, 444, 11, 43, 6, 0], [0, 11, 3, 147, 196, 238, 658, 70, 388, 39, 35, 7, 0], [0, 11, 3, 148, 188, 266, 602, 140, 332, 67, 27, 8, 0], [0, 11, 3, 148, 189, 258, 630, 84, 402, 11, 55, 0, 1], [0, 11, 3, 149, 180, 294, 546, 210, 276, 95, 19, 9, 0], [0, 11, 3, 149, 181, 286, 574, 154, 346, 39, 47, 1, 1], [0, 11, 3, 150, 172, 322, 490, 280, 220, 123, 11, 10, 0], [0, 11, 3, 150, 173, 314, 518, 224, 290, 67, 39, 2, 1], [0, 11, 3, 151, 164, 350, 434, 350, 164, 151, 3, 11, 0], [0, 11, 3, 151, 165, 342, 462, 294, 234, 95, 31, 3, 1], [0, 11, 3, 152, 157, 370, 406, 364, 178, 123, 23, 4, 1], [0, 11, 3, 153, 149, 398, 350, 434, 122, 151, 15, 5, 1], [0, 11, 3, 154, 141, 426, 294, 504, 66, 179, 7, 6, 1], [0, 11, 3, 156, 126, 474, 210, 588, 24, 179, 19, 0, 2], [0, 11, 4, 139, 224, 182, 728, 14, 416, 31, 36, 7, 0], [0, 11, 4, 140, 216, 210, 672, 84, 360, 59, 28, 8, 0], [0, 11, 4, 140, 217, 202, 700, 28, 430, 3, 56, 0, 1], [0, 11, 4, 141, 208, 238, 616, 154, 304, 87, 20, 9, 0], [0, 11, 4, 141, 209, 230, 644, 98, 374, 31, 48, 1, 1], [0, 11, 4, 142, 200, 266, 560, 224, 248, 115, 12, 10, 0], [0, 11, 4, 142, 201, 258, 588, 168, 318, 59, 40, 2, 1], [0, 11, 4, 143, 192, 294, 504, 294, 192, 143, 4, 11, 0], [0, 11, 4, 143, 193, 286, 532, 238, 262, 87, 32, 3, 1], [0, 11, 4, 144, 185, 314, 476, 308, 206, 115, 24, 4, 1], [0, 11, 4, 145, 177, 342, 420, 378, 150, 143, 16, 5, 1], [0, 11, 4, 146, 169, 370, 364, 448, 94, 171, 8, 6, 1], [0, 11, 4, 147, 161, 398, 308, 518, 38, 199, 0, 7, 1], [0, 11, 4, 148, 154, 418, 280, 532, 52, 171, 20, 0, 2], [0, 11, 5, 132, 244, 154, 742, 28, 388, 51, 29, 8, 0], [0, 11, 5, 133, 236, 182, 686, 98, 332, 79, 21, 9, 0], [0, 11, 5, 133, 237, 174, 714, 42, 402, 23, 49, 1, 1], [0, 11, 5, 134, 228, 210, 630, 168, 276, 107, 13, 10, 0], [0, 11, 5, 134, 229, 202, 658, 112, 346, 51, 41, 2, 1], [0, 11, 5, 135, 220, 238, 574, 238, 220, 135, 5, 11, 0], [0, 11, 5, 135, 221, 230, 602, 182, 290, 79, 33, 3, 1], [0, 11, 5, 136, 213, 258, 546, 252, 234, 107, 25, 4, 1], [0, 11, 5, 137, 205, 286, 490, 322, 178, 135, 17, 5, 1], [0, 11, 5, 138, 197, 314, 434, 392, 122, 163, 9, 6, 1], [0, 11, 5, 139, 189, 342, 378, 462, 66, 191, 1, 7, 1], [0, 11, 5, 140, 182, 362, 350, 476, 80, 163, 21, 0, 2], [0, 11, 5, 141, 174, 390, 294, 546, 24, 191, 13, 1, 2], [0, 11, 6, 125, 264, 126, 756, 42, 360, 71, 22, 9, 0], [0, 11, 6, 126, 256, 154, 700, 112, 304, 99, 14, 10, 0], [0, 11, 6, 126, 257, 146, 728, 56, 374, 43, 42, 2, 1], [0, 11, 6, 127, 248, 182, 644, 182, 248, 127, 6, 11, 0], [0, 11, 6, 127, 249, 174, 672, 126, 318, 71, 34, 3, 1], [0, 11, 6, 128, 241, 202, 616, 196, 262, 99, 26, 4, 1], [0, 11, 6, 129, 233, 230, 560, 266, 206, 127, 18, 5, 1], [0, 11, 6, 130, 225, 258, 504, 336, 150, 155, 10, 6, 1], [0, 11, 6, 131, 217, 286, 448, 406, 94, 183, 2, 7, 1], [0, 11, 6, 132, 210, 306, 420, 420, 108, 155, 22, 0, 2], [0, 11, 6, 133, 202, 334, 364, 490, 52, 183, 14, 1, 2], [0, 11, 7, 118, 284, 98, 770, 56, 332, 91, 15, 10, 0], [0, 11, 7, 118, 285, 90, 798, 0, 402, 35, 43, 2, 1], [0, 11, 7, 119, 276, 126, 714, 126, 276, 119, 7, 11, 0], [0, 11, 7, 119, 277, 118, 742, 70, 346, 63, 35, 3, 1], [0, 11, 7, 120, 269, 146, 686, 140, 290, 91, 27, 4, 1], [0, 11, 7, 121, 261, 174, 630, 210, 234, 119, 19, 5, 1], [0, 11, 7, 122, 253, 202, 574, 280, 178, 147, 11, 6, 1], [0, 11, 7, 123, 245, 230, 518, 350, 122, 175, 3, 7, 1], [0, 11, 7, 124, 238, 250, 490, 364, 136, 147, 23, 0, 2], [0, 11, 7, 125, 230, 278, 434, 434, 80, 175, 15, 1, 2], [0, 11, 7, 126, 222, 306, 378, 504, 24, 203, 7, 2, 2], [0, 11, 8, 110, 312, 42, 840, 0, 360, 83, 16, 10, 0], [0, 11, 8, 111, 304, 70, 784, 70, 304, 111, 8, 11, 0], [0, 11, 8, 111, 305, 62, 812, 14, 374, 55, 36, 3, 1], [0, 11, 8, 112, 296, 98, 728, 140, 248, 139, 0, 12, 0], [0, 11, 8, 112, 297, 90, 756, 84, 318, 83, 28, 4, 1], [0, 11, 8, 113, 289, 118, 700, 154, 262, 111, 20, 5, 1], [0, 11, 8, 114, 281, 146, 644, 224, 206, 139, 12, 6, 1], [0, 11, 8, 115, 273, 174, 588, 294, 150, 167, 4, 7, 1], [0, 11, 8, 116, 266, 194, 560, 308, 164, 139, 24, 0, 2], [0, 11, 8, 117, 258, 222, 504, 378, 108, 167, 16, 1, 2], [0, 11, 8, 118, 250, 250, 448, 448, 52, 195, 8, 2, 2], [0, 11, 9, 103, 332, 14, 854, 14, 332, 103, 9, 11, 0], [0, 11, 9, 104, 324, 42, 798, 84, 276, 131, 1, 12, 0], [0, 11, 9, 104, 325, 34, 826, 28, 346, 75, 29, 4, 1], [0, 11, 9, 105, 317, 62, 770, 98, 290, 103, 21, 5, 1], [0, 11, 9, 106, 309, 90, 714, 168, 234, 131, 13, 6, 1], [0, 11, 9, 107, 301, 118, 658, 238, 178, 159, 5, 7, 1], [0, 11, 9, 108, 294, 138, 630, 252, 192, 131, 25, 0, 2], [0, 11, 9, 109, 286, 166, 574, 322, 136, 159, 17, 1, 2], [0, 11, 9, 110, 278, 194, 518, 392, 80, 187, 9, 2, 2], [0, 11, 9, 111, 270, 222, 462, 462, 24, 215, 1, 3, 2], [0, 11, 10, 97, 345, 6, 840, 42, 318, 95, 22, 5, 1], [0, 11, 10, 98, 337, 34, 784, 112, 262, 123, 14, 6, 1], [0, 11, 10, 99, 329, 62, 728, 182, 206, 151, 6, 7, 1], [0, 11, 10, 100, 322, 82, 700, 196, 220, 123, 26, 0, 2], [0, 11, 10, 101, 314, 110, 644, 266, 164, 151, 18, 1, 2], [0, 11, 10, 102, 306, 138, 588, 336, 108, 179, 10, 2, 2], [0, 11, 10, 103, 298, 166, 532, 406, 52, 207, 2, 3, 2], [0, 11, 11, 91, 357, 6, 798, 126, 234, 143, 7, 7, 1], [0, 11, 11, 92, 350, 26, 770, 140, 248, 115, 27, 0, 2], [0, 11, 11, 93, 342, 54, 714, 210, 192, 143, 19, 1, 2], [0, 11, 11, 94, 334, 82, 658, 280, 136, 171, 11, 2, 2], [0, 11, 11, 95, 326, 110, 602, 350, 80, 199, 3, 3, 2], [0, 11, 12, 86, 362, 26, 728, 224, 164, 163, 12, 2, 2], [0, 11, 12, 87, 354, 54, 672, 294, 108, 191, 4, 3, 2], [0, 12, 0, 138, 256, 112, 784, 28, 352, 84, 16, 10, 0], [0, 12, 0, 139, 248, 140, 728, 98, 296, 112, 8, 11, 0], [0, 12, 0, 139, 249, 132, 756, 42, 366, 56, 36, 3, 1], [0, 12, 0, 140, 240, 168, 672, 168, 240, 140, 0, 12, 0], [0, 12, 0, 140, 241, 160, 700, 112, 310, 84, 28, 4, 1], [0, 12, 0, 141, 233, 188, 644, 182, 254, 112, 20, 5, 1], [0, 12, 0, 142, 225, 216, 588, 252, 198, 140, 12, 6, 1], [0, 12, 0, 143, 217, 244, 532, 322, 142, 168, 4, 7, 1], [0, 12, 0, 144, 210, 264, 504, 336, 156, 140, 24, 0, 2], [0, 12, 0, 145, 202, 292, 448, 406, 100, 168, 16, 1, 2], [0, 12, 0, 146, 194, 320, 392, 476, 44, 196, 8, 2, 2], [0, 12, 1, 131, 276, 84, 798, 42, 324, 104, 9, 11, 0], [0, 12, 1, 132, 268, 112, 742, 112, 268, 132, 1, 12, 0], [0, 12, 1, 132, 269, 104, 770, 56, 338, 76, 29, 4, 1], [0, 12, 1, 133, 261, 132, 714, 126, 282, 104, 21, 5, 1], [0, 12, 1, 134, 253, 160, 658, 196, 226, 132, 13, 6, 1], [0, 12, 1, 135, 245, 188, 602, 266, 170, 160, 5, 7, 1], [0, 12, 1, 136, 238, 208, 574, 280, 184, 132, 25, 0, 2], [0, 12, 1, 137, 230, 236, 518, 350, 128, 160, 17, 1, 2], [0, 12, 1, 138, 222, 264, 462, 420, 72, 188, 9, 2, 2], [0, 12, 1, 139, 214, 292, 406, 490, 16, 216, 1, 3, 2], [0, 12, 2, 124, 296, 56, 812, 56, 296, 124, 2, 12, 0], [0, 12, 2, 124, 297, 48, 840, 0, 366, 68, 30, 4, 1], [0, 12, 2, 125, 289, 76, 784, 70, 310, 96, 22, 5, 1], [0, 12, 2, 126, 281, 104, 728, 140, 254, 124, 14, 6, 1], [0, 12, 2, 127, 273, 132, 672, 210, 198, 152, 6, 7, 1], [0, 12, 2, 128, 266, 152, 644, 224, 212, 124, 26, 0, 2], [0, 12, 2, 129, 258, 180, 588, 294, 156, 152, 18, 1, 2], [0, 12, 2, 130, 250, 208, 532, 364, 100, 180, 10, 2, 2], [0, 12, 2, 131, 242, 236, 476, 434, 44, 208, 2, 3, 2], [0, 12, 3, 116, 324, 0, 882, 0, 324, 116, 3, 12, 0], [0, 12, 3, 117, 317, 20, 854, 14, 338, 88, 23, 5, 1], [0, 12, 3, 118, 309, 48, 798, 84, 282, 116, 15, 6, 1], [0, 12, 3, 119, 301, 76, 742, 154, 226, 144, 7, 7, 1], [0, 12, 3, 120, 294, 96, 714, 168, 240, 116, 27, 0, 2], [0, 12, 3, 121, 286, 124, 658, 238, 184, 144, 19, 1, 2], [0, 12, 3, 122, 278, 152, 602, 308, 128, 172, 11, 2, 2], [0, 12, 3, 123, 270, 180, 546, 378, 72, 200, 3, 3, 2], [0, 12, 4, 111, 329, 20, 812, 98, 254, 136, 8, 7, 1], [0, 12, 4, 112, 321, 48, 756, 168, 198, 164, 0, 8, 1], [0, 12, 4, 112, 322, 40, 784, 112, 268, 108, 28, 0, 2], [0, 12, 4, 113, 314, 68, 728, 182, 212, 136, 20, 1, 2], [0, 12, 4, 114, 306, 96, 672, 252, 156, 164, 12, 2, 2], [0, 12, 4, 115, 298, 124, 616, 322, 100, 192, 4, 3, 2], [0, 12, 5, 105, 342, 12, 798, 126, 240, 128, 21, 1, 2], [0, 12, 5, 106, 334, 40, 742, 196, 184, 156, 13, 2, 2], [0, 12, 5, 107, 326, 68, 686, 266, 128, 184, 5, 3, 2], [0, 12, 6, 99, 354, 12, 756, 210, 156, 176, 6, 3, 2]}