-------
(12, 1664, 7) ALL distance distributions
(7, 1664, 7) has 1 possible DDs: {[13, 91, 273, 455, 455, 273, 91, 13]}
(8, 1664, 7) has 14 possible DDs: {[0, 104, 0, 728, 0, 728, 0, 104, 0], [1, 96, 28, 672, 70, 672, 28, 96, 1], [2, 88, 56, 616, 140, 616, 56, 88, 2], [3, 80, 84, 560, 210, 560, 84, 80, 3], [4, 72, 112, 504, 280, 504, 112, 72, 4], [5, 64, 140, 448, 350, 448, 140, 64, 5], [6, 56, 168, 392, 420, 392, 168, 56, 6], [7, 48, 196, 336, 490, 336, 196, 48, 7], [8, 40, 224, 280, 560, 280, 224, 40, 8], [9, 32, 252, 224, 630, 224, 252, 32, 9], [10, 24, 280, 168, 700, 168, 280, 24, 10], [11, 16, 308, 112, 770, 112, 308, 16, 11], [12, 8, 336, 56, 840, 56, 336, 8, 12], [13, 0, 364, 0, 910, 0, 364, 0, 13]}
(9, 1664, 7) has 56 possible DDs: {[0, 52, 52, 364, 364, 364, 364, 52, 52, 0], [0, 53, 44, 392, 308, 434, 308, 80, 44, 1], [0, 54, 36, 420, 252, 504, 252, 108, 36, 2], [0, 55, 28, 448, 196, 574, 196, 136, 28, 3], [0, 56, 20, 476, 140, 644, 140, 164, 20, 4], [0, 57, 12, 504, 84, 714, 84, 192, 12, 5], [0, 58, 4, 532, 28, 784, 28, 220, 4, 6], [1, 44, 80, 308, 434, 308, 392, 44, 53, 0], [1, 45, 72, 336, 378, 378, 336, 72, 45, 1], [1, 46, 64, 364, 322, 448, 280, 100, 37, 2], [1, 47, 56, 392, 266, 518, 224, 128, 29, 3], [1, 48, 48, 420, 210, 588, 168, 156, 21, 4], [1, 49, 40, 448, 154, 658, 112, 184, 13, 5], [1, 50, 32, 476, 98, 728, 56, 212, 5, 6], [2, 36, 108, 252, 504, 252, 420, 36, 54, 0], [2, 37, 100, 280, 448, 322, 364, 64, 46, 1], [2, 38, 92, 308, 392, 392, 308, 92, 38, 2], [2, 39, 84, 336, 336, 462, 252, 120, 30, 3], [2, 40, 76, 364, 280, 532, 196, 148, 22, 4], [2, 41, 68, 392, 224, 602, 140, 176, 14, 5], [2, 42, 60, 420, 168, 672, 84, 204, 6, 6], [3, 28, 136, 196, 574, 196, 448, 28, 55, 0], [3, 29, 128, 224, 518, 266, 392, 56, 47, 1], [3, 30, 120, 252, 462, 336, 336, 84, 39, 2], [3, 31, 112, 280, 406, 406, 280, 112, 31, 3], [3, 32, 104, 308, 350, 476, 224, 140, 23, 4], [3, 33, 96, 336, 294, 546, 168, 168, 15, 5], [3, 34, 88, 364, 238, 616, 112, 196, 7, 6], [4, 20, 164, 140, 644, 140, 476, 20, 56, 0], [4, 21, 156, 168, 588, 210, 420, 48, 48, 1], [4, 22, 148, 196, 532, 280, 364, 76, 40, 2], [4, 23, 140, 224, 476, 350, 308, 104, 32, 3], [4, 24, 132, 252, 420, 420, 252, 132, 24, 4], [4, 25, 124, 280, 364, 490, 196, 160, 16, 5], [4, 26, 116, 308, 308, 560, 140, 188, 8, 6], [4, 27, 108, 336, 252, 630, 84, 216, 0, 7], [5, 12, 192, 84, 714, 84, 504, 12, 57, 0], [5, 13, 184, 112, 658, 154, 448, 40, 49, 1], [5, 14, 176, 140, 602, 224, 392, 68, 41, 2], [5, 15, 168, 168, 546, 294, 336, 96, 33, 3], [5, 16, 160, 196, 490, 364, 280, 124, 25, 4], [5, 17, 152, 224, 434, 434, 224, 152, 17, 5], [5, 18, 144, 252, 378, 504, 168, 180, 9, 6], [5, 19, 136, 280, 322, 574, 112, 208, 1, 7], [6, 4, 220, 28, 784, 28, 532, 4, 58, 0], [6, 5, 212, 56, 728, 98, 476, 32, 50, 1], [6, 6, 204, 84, 672, 168, 420, 60, 42, 2], [6, 7, 196, 112, 616, 238, 364, 88, 34, 3], [6, 8, 188, 140, 560, 308, 308, 116, 26, 4], [6, 9, 180, 168, 504, 378, 252, 144, 18, 5], [6, 10, 172, 196, 448, 448, 196, 172, 10, 6], [6, 11, 164, 224, 392, 518, 140, 200, 2, 7], [7, 0, 216, 84, 630, 252, 336, 108, 27, 4], [7, 1, 208, 112, 574, 322, 280, 136, 19, 5], [7, 2, 200, 140, 518, 392, 224, 164, 11, 6], [7, 3, 192, 168, 462, 462, 168, 192, 3, 7]}
(10, 1664, 7) has 223 possible DDs: {[0, 21, 92, 68, 644, 14, 644, 68, 92, 21, 0], [0, 22, 84, 96, 588, 84, 588, 96, 84, 22, 0], [0, 22, 85, 88, 616, 28, 658, 40, 112, 14, 1], [0, 23, 76, 124, 532, 154, 532, 124, 76, 23, 0], [0, 23, 77, 116, 560, 98, 602, 68, 104, 15, 1], [0, 23, 78, 108, 588, 42, 672, 12, 132, 7, 2], [0, 24, 68, 152, 476, 224, 476, 152, 68, 24, 0], [0, 24, 69, 144, 504, 168, 546, 96, 96, 16, 1], [0, 24, 70, 136, 532, 112, 616, 40, 124, 8, 2], [0, 25, 60, 180, 420, 294, 420, 180, 60, 25, 0], [0, 25, 61, 172, 448, 238, 490, 124, 88, 17, 1], [0, 25, 62, 164, 476, 182, 560, 68, 116, 9, 2], [0, 25, 63, 156, 504, 126, 630, 12, 144, 1, 3], [0, 26, 52, 208, 364, 364, 364, 208, 52, 26, 0], [0, 26, 53, 200, 392, 308, 434, 152, 80, 18, 1], [0, 26, 54, 192, 420, 252, 504, 96, 108, 10, 2], [0, 26, 55, 184, 448, 196, 574, 40, 136, 2, 3], [0, 27, 44, 236, 308, 434, 308, 236, 44, 27, 0], [0, 27, 45, 228, 336, 378, 378, 180, 72, 19, 1], [0, 27, 46, 220, 364, 322, 448, 124, 100, 11, 2], [0, 27, 47, 212, 392, 266, 518, 68, 128, 3, 3], [0, 28, 36, 264, 252, 504, 252, 264, 36, 28, 0], [0, 28, 37, 256, 280, 448, 322, 208, 64, 20, 1], [0, 28, 38, 248, 308, 392, 392, 152, 92, 12, 2], [0, 28, 39, 240, 336, 336, 462, 96, 120, 4, 3], [0, 29, 28, 292, 196, 574, 196, 292, 28, 29, 0], [0, 29, 29, 284, 224, 518, 266, 236, 56, 21, 1], [0, 29, 30, 276, 252, 462, 336, 180, 84, 13, 2], [0, 29, 31, 268, 280, 406, 406, 124, 112, 5, 3], [0, 30, 20, 320, 140, 644, 140, 320, 20, 30, 0], [0, 30, 21, 312, 168, 588, 210, 264, 48, 22, 1], [0, 30, 22, 304, 196, 532, 280, 208, 76, 14, 2], [0, 30, 23, 296, 224, 476, 350, 152, 104, 6, 3], [0, 31, 12, 348, 84, 714, 84, 348, 12, 31, 0], [0, 31, 13, 340, 112, 658, 154, 292, 40, 23, 1], [0, 31, 14, 332, 140, 602, 224, 236, 68, 15, 2], [0, 31, 15, 324, 168, 546, 294, 180, 96, 7, 3], [0, 32, 4, 376, 28, 784, 28, 376, 4, 32, 0], [0, 32, 5, 368, 56, 728, 98, 320, 32, 24, 1], [0, 32, 6, 360, 84, 672, 168, 264, 60, 16, 2], [0, 32, 7, 352, 112, 616, 238, 208, 88, 8, 3], [0, 32, 8, 344, 140, 560, 308, 152, 116, 0, 4], [0, 33, 0, 372, 84, 630, 252, 180, 108, 1, 4], [1, 14, 112, 40, 658, 28, 616, 88, 85, 22, 0], [1, 15, 104, 68, 602, 98, 560, 116, 77, 23, 0], [1, 15, 105, 60, 630, 42, 630, 60, 105, 15, 1], [1, 16, 96, 96, 546, 168, 504, 144, 69, 24, 0], [1, 16, 97, 88, 574, 112, 574, 88, 97, 16, 1], [1, 16, 98, 80, 602, 56, 644, 32, 125, 8, 2], [1, 17, 88, 124, 490, 238, 448, 172, 61, 25, 0], [1, 17, 89, 116, 518, 182, 518, 116, 89, 17, 1], [1, 17, 90, 108, 546, 126, 588, 60, 117, 9, 2], [1, 17, 91, 100, 574, 70, 658, 4, 145, 1, 3], [1, 18, 80, 152, 434, 308, 392, 200, 53, 26, 0], [1, 18, 81, 144, 462, 252, 462, 144, 81, 18, 1], [1, 18, 82, 136, 490, 196, 532, 88, 109, 10, 2], [1, 18, 83, 128, 518, 140, 602, 32, 137, 2, 3], [1, 19, 72, 180, 378, 378, 336, 228, 45, 27, 0], [1, 19, 73, 172, 406, 322, 406, 172, 73, 19, 1], [1, 19, 74, 164, 434, 266, 476, 116, 101, 11, 2], [1, 19, 75, 156, 462, 210, 546, 60, 129, 3, 3], [1, 20, 64, 208, 322, 448, 280, 256, 37, 28, 0], [1, 20, 65, 200, 350, 392, 350, 200, 65, 20, 1], [1, 20, 66, 192, 378, 336, 420, 144, 93, 12, 2], [1, 20, 67, 184, 406, 280, 490, 88, 121, 4, 3], [1, 21, 56, 236, 266, 518, 224, 284, 29, 29, 0], [1, 21, 57, 228, 294, 462, 294, 228, 57, 21, 1], [1, 21, 58, 220, 322, 406, 364, 172, 85, 13, 2], [1, 21, 59, 212, 350, 350, 434, 116, 113, 5, 3], [1, 22, 48, 264, 210, 588, 168, 312, 21, 30, 0], [1, 22, 49, 256, 238, 532, 238, 256, 49, 22, 1], [1, 22, 50, 248, 266, 476, 308, 200, 77, 14, 2], [1, 22, 51, 240, 294, 420, 378, 144, 105, 6, 3], [1, 23, 40, 292, 154, 658, 112, 340, 13, 31, 0], [1, 23, 41, 284, 182, 602, 182, 284, 41, 23, 1], [1, 23, 42, 276, 210, 546, 252, 228, 69, 15, 2], [1, 23, 43, 268, 238, 490, 322, 172, 97, 7, 3], [1, 24, 32, 320, 98, 728, 56, 368, 5, 32, 0], [1, 24, 33, 312, 126, 672, 126, 312, 33, 24, 1], [1, 24, 34, 304, 154, 616, 196, 256, 61, 16, 2], [1, 24, 35, 296, 182, 560, 266, 200, 89, 8, 3], [1, 24, 36, 288, 210, 504, 336, 144, 117, 0, 4], [1, 25, 25, 340, 70, 742, 70, 340, 25, 25, 1], [1, 25, 26, 332, 98, 686, 140, 284, 53, 17, 2], [1, 25, 27, 324, 126, 630, 210, 228, 81, 9, 3], [1, 25, 28, 316, 154, 574, 280, 172, 109, 1, 4], [1, 26, 17, 368, 14, 812, 14, 368, 17, 26, 1], [1, 26, 18, 360, 42, 756, 84, 312, 45, 18, 2], [1, 26, 19, 352, 70, 700, 154, 256, 73, 10, 3], [1, 26, 20, 344, 98, 644, 224, 200, 101, 2, 4], [1, 27, 11, 380, 14, 770, 98, 284, 65, 11, 3], [1, 27, 12, 372, 42, 714, 168, 228, 93, 3, 4], [2, 7, 132, 12, 672, 42, 588, 108, 78, 23, 0], [2, 8, 124, 40, 616, 112, 532, 136, 70, 24, 0], [2, 8, 125, 32, 644, 56, 602, 80, 98, 16, 1], [2, 8, 126, 24, 672, 0, 672, 24, 126, 8, 2], [2, 9, 116, 68, 560, 182, 476, 164, 62, 25, 0], [2, 9, 117, 60, 588, 126, 546, 108, 90, 17, 1], [2, 9, 118, 52, 616, 70, 616, 52, 118, 9, 2], [2, 10, 108, 96, 504, 252, 420, 192, 54, 26, 0], [2, 10, 109, 88, 532, 196, 490, 136, 82, 18, 1], [2, 10, 110, 80, 560, 140, 560, 80, 110, 10, 2], [2, 10, 111, 72, 588, 84, 630, 24, 138, 2, 3], [2, 11, 100, 124, 448, 322, 364, 220, 46, 27, 0], [2, 11, 101, 116, 476, 266, 434, 164, 74, 19, 1], [2, 11, 102, 108, 504, 210, 504, 108, 102, 11, 2], [2, 11, 103, 100, 532, 154, 574, 52, 130, 3, 3], [2, 12, 92, 152, 392, 392, 308, 248, 38, 28, 0], [2, 12, 93, 144, 420, 336, 378, 192, 66, 20, 1], [2, 12, 94, 136, 448, 280, 448, 136, 94, 12, 2], [2, 12, 95, 128, 476, 224, 518, 80, 122, 4, 3], [2, 13, 84, 180, 336, 462, 252, 276, 30, 29, 0], [2, 13, 85, 172, 364, 406, 322, 220, 58, 21, 1], [2, 13, 86, 164, 392, 350, 392, 164, 86, 13, 2], [2, 13, 87, 156, 420, 294, 462, 108, 114, 5, 3], [2, 14, 76, 208, 280, 532, 196, 304, 22, 30, 0], [2, 14, 77, 200, 308, 476, 266, 248, 50, 22, 1], [2, 14, 78, 192, 336, 420, 336, 192, 78, 14, 2], [2, 14, 79, 184, 364, 364, 406, 136, 106, 6, 3], [2, 15, 68, 236, 224, 602, 140, 332, 14, 31, 0], [2, 15, 69, 228, 252, 546, 210, 276, 42, 23, 1], [2, 15, 70, 220, 280, 490, 280, 220, 70, 15, 2], [2, 15, 71, 212, 308, 434, 350, 164, 98, 7, 3], [2, 16, 60, 264, 168, 672, 84, 360, 6, 32, 0], [2, 16, 61, 256, 196, 616, 154, 304, 34, 24, 1], [2, 16, 62, 248, 224, 560, 224, 248, 62, 16, 2], [2, 16, 63, 240, 252, 504, 294, 192, 90, 8, 3], [2, 16, 64, 232, 280, 448, 364, 136, 118, 0, 4], [2, 17, 53, 284, 140, 686, 98, 332, 26, 25, 1], [2, 17, 54, 276, 168, 630, 168, 276, 54, 17, 2], [2, 17, 55, 268, 196, 574, 238, 220, 82, 9, 3], [2, 17, 56, 260, 224, 518, 308, 164, 110, 1, 4], [2, 18, 45, 312, 84, 756, 42, 360, 18, 26, 1], [2, 18, 46, 304, 112, 700, 112, 304, 46, 18, 2], [2, 18, 47, 296, 140, 644, 182, 248, 74, 10, 3], [2, 18, 48, 288, 168, 588, 252, 192, 102, 2, 4], [2, 19, 38, 332, 56, 770, 56, 332, 38, 19, 2], [2, 19, 39, 324, 84, 714, 126, 276, 66, 11, 3], [2, 19, 40, 316, 112, 658, 196, 220, 94, 3, 4], [2, 20, 30, 360, 0, 840, 0, 360, 30, 20, 2], [2, 20, 31, 352, 28, 784, 70, 304, 58, 12, 3], [2, 20, 32, 344, 56, 728, 140, 248, 86, 4, 4], [2, 21, 24, 372, 0, 798, 84, 276, 78, 5, 4], [3, 1, 144, 12, 630, 126, 504, 156, 63, 25, 0], [3, 1, 145, 4, 658, 70, 574, 100, 91, 17, 1], [3, 2, 136, 40, 574, 196, 448, 184, 55, 26, 0], [3, 2, 137, 32, 602, 140, 518, 128, 83, 18, 1], [3, 2, 138, 24, 630, 84, 588, 72, 111, 10, 2], [3, 2, 139, 16, 658, 28, 658, 16, 139, 2, 3], [3, 3, 128, 68, 518, 266, 392, 212, 47, 27, 0], [3, 3, 129, 60, 546, 210, 462, 156, 75, 19, 1], [3, 3, 130, 52, 574, 154, 532, 100, 103, 11, 2], [3, 3, 131, 44, 602, 98, 602, 44, 131, 3, 3], [3, 4, 120, 96, 462, 336, 336, 240, 39, 28, 0], [3, 4, 121, 88, 490, 280, 406, 184, 67, 20, 1], [3, 4, 122, 80, 518, 224, 476, 128, 95, 12, 2], [3, 4, 123, 72, 546, 168, 546, 72, 123, 4, 3], [3, 5, 112, 124, 406, 406, 280, 268, 31, 29, 0], [3, 5, 113, 116, 434, 350, 350, 212, 59, 21, 1], [3, 5, 114, 108, 462, 294, 420, 156, 87, 13, 2], [3, 5, 115, 100, 490, 238, 490, 100, 115, 5, 3], [3, 6, 104, 152, 350, 476, 224, 296, 23, 30, 0], [3, 6, 105, 144, 378, 420, 294, 240, 51, 22, 1], [3, 6, 106, 136, 406, 364, 364, 184, 79, 14, 2], [3, 6, 107, 128, 434, 308, 434, 128, 107, 6, 3], [3, 7, 96, 180, 294, 546, 168, 324, 15, 31, 0], [3, 7, 97, 172, 322, 490, 238, 268, 43, 23, 1], [3, 7, 98, 164, 350, 434, 308, 212, 71, 15, 2], [3, 7, 99, 156, 378, 378, 378, 156, 99, 7, 3], [3, 8, 88, 208, 238, 616, 112, 352, 7, 32, 0], [3, 8, 89, 200, 266, 560, 182, 296, 35, 24, 1], [3, 8, 90, 192, 294, 504, 252, 240, 63, 16, 2], [3, 8, 91, 184, 322, 448, 322, 184, 91, 8, 3], [3, 8, 92, 176, 350, 392, 392, 128, 119, 0, 4], [3, 9, 81, 228, 210, 630, 126, 324, 27, 25, 1], [3, 9, 82, 220, 238, 574, 196, 268, 55, 17, 2], [3, 9, 83, 212, 266, 518, 266, 212, 83, 9, 3], [3, 9, 84, 204, 294, 462, 336, 156, 111, 1, 4], [3, 10, 73, 256, 154, 700, 70, 352, 19, 26, 1], [3, 10, 74, 248, 182, 644, 140, 296, 47, 18, 2], [3, 10, 75, 240, 210, 588, 210, 240, 75, 10, 3], [3, 10, 76, 232, 238, 532, 280, 184, 103, 2, 4], [3, 11, 65, 284, 98, 770, 14, 380, 11, 27, 1], [3, 11, 66, 276, 126, 714, 84, 324, 39, 19, 2], [3, 11, 67, 268, 154, 658, 154, 268, 67, 11, 3], [3, 11, 68, 260, 182, 602, 224, 212, 95, 3, 4], [3, 12, 58, 304, 70, 784, 28, 352, 31, 20, 2], [3, 12, 59, 296, 98, 728, 98, 296, 59, 12, 3], [3, 12, 60, 288, 126, 672, 168, 240, 87, 4, 4], [3, 13, 51, 324, 42, 798, 42, 324, 51, 13, 3], [3, 13, 52, 316, 70, 742, 112, 268, 79, 5, 4], [3, 14, 44, 344, 14, 812, 56, 296, 71, 6, 4], [4, 0, 116, 152, 308, 560, 140, 344, 8, 32, 0], [4, 0, 117, 144, 336, 504, 210, 288, 36, 24, 1], [4, 0, 118, 136, 364, 448, 280, 232, 64, 16, 2], [4, 0, 119, 128, 392, 392, 350, 176, 92, 8, 3], [4, 0, 120, 120, 420, 336, 420, 120, 120, 0, 4], [4, 1, 108, 180, 252, 630, 84, 372, 0, 33, 0], [4, 1, 109, 172, 280, 574, 154, 316, 28, 25, 1], [4, 1, 110, 164, 308, 518, 224, 260, 56, 17, 2], [4, 1, 111, 156, 336, 462, 294, 204, 84, 9, 3], [4, 1, 112, 148, 364, 406, 364, 148, 112, 1, 4], [4, 2, 101, 200, 224, 644, 98, 344, 20, 26, 1], [4, 2, 102, 192, 252, 588, 168, 288, 48, 18, 2], [4, 2, 103, 184, 280, 532, 238, 232, 76, 10, 3], [4, 2, 104, 176, 308, 476, 308, 176, 104, 2, 4], [4, 3, 93, 228, 168, 714, 42, 372, 12, 27, 1], [4, 3, 94, 220, 196, 658, 112, 316, 40, 19, 2], [4, 3, 95, 212, 224, 602, 182, 260, 68, 11, 3], [4, 3, 96, 204, 252, 546, 252, 204, 96, 3, 4], [4, 4, 86, 248, 140, 728, 56, 344, 32, 20, 2], [4, 4, 87, 240, 168, 672, 126, 288, 60, 12, 3], [4, 4, 88, 232, 196, 616, 196, 232, 88, 4, 4], [4, 5, 78, 276, 84, 798, 0, 372, 24, 21, 2], [4, 5, 79, 268, 112, 742, 70, 316, 52, 13, 3], [4, 5, 80, 260, 140, 686, 140, 260, 80, 5, 4], [4, 6, 71, 296, 56, 812, 14, 344, 44, 14, 3], [4, 6, 72, 288, 84, 756, 84, 288, 72, 6, 4], [4, 7, 64, 316, 28, 826, 28, 316, 64, 7, 4], [4, 8, 57, 336, 0, 840, 42, 288, 84, 0, 5], [5, 0, 84, 288, 42, 840, 0, 336, 57, 8, 4], [5, 0, 85, 280, 70, 784, 70, 280, 85, 0, 5], [5, 1, 77, 308, 14, 854, 14, 308, 77, 1, 5]}
(11, 1664, 7) has 761 possible DDs: {[0, 7, 81, 10, 454, 280, 280, 454, 10, 81, 7, 0], [0, 7, 82, 2, 482, 224, 350, 398, 38, 73, 8, 0], [0, 8, 73, 38, 398, 350, 224, 482, 2, 82, 7, 0], [0, 8, 74, 30, 426, 294, 294, 426, 30, 74, 8, 0], [0, 8, 75, 22, 454, 238, 364, 370, 58, 66, 9, 0], [0, 8, 75, 23, 446, 266, 308, 440, 2, 94, 1, 1], [0, 8, 76, 14, 482, 182, 434, 314, 86, 58, 10, 0], [0, 8, 76, 15, 474, 210, 378, 384, 30, 86, 2, 1], [0, 8, 77, 6, 510, 126, 504, 258, 114, 50, 11, 0], [0, 8, 77, 7, 502, 154, 448, 328, 58, 78, 3, 1], [0, 9, 66, 58, 370, 364, 238, 454, 22, 75, 8, 0], [0, 9, 67, 50, 398, 308, 308, 398, 50, 67, 9, 0], [0, 9, 68, 42, 426, 252, 378, 342, 78, 59, 10, 0], [0, 9, 68, 43, 418, 280, 322, 412, 22, 87, 2, 1], [0, 9, 69, 34, 454, 196, 448, 286, 106, 51, 11, 0], [0, 9, 69, 35, 446, 224, 392, 356, 50, 79, 3, 1], [0, 9, 70, 26, 482, 140, 518, 230, 134, 43, 12, 0], [0, 9, 70, 27, 474, 168, 462, 300, 78, 71, 4, 1], [0, 9, 71, 18, 510, 84, 588, 174, 162, 35, 13, 0], [0, 9, 71, 19, 502, 112, 532, 244, 106, 63, 5, 1], [0, 9, 72, 10, 538, 28, 658, 118, 190, 27, 14, 0], [0, 9, 72, 11, 530, 56, 602, 188, 134, 55, 6, 1], [0, 9, 73, 3, 558, 0, 672, 132, 162, 47, 7, 1], [0, 10, 58, 86, 314, 434, 182, 482, 14, 76, 8, 0], [0, 10, 59, 78, 342, 378, 252, 426, 42, 68, 9, 0], [0, 10, 60, 70, 370, 322, 322, 370, 70, 60, 10, 0], [0, 10, 60, 71, 362, 350, 266, 440, 14, 88, 2, 1], [0, 10, 61, 62, 398, 266, 392, 314, 98, 52, 11, 0], [0, 10, 61, 63, 390, 294, 336, 384, 42, 80, 3, 1], [0, 10, 62, 54, 426, 210, 462, 258, 126, 44, 12, 0], [0, 10, 62, 55, 418, 238, 406, 328, 70, 72, 4, 1], [0, 10, 63, 46, 454, 154, 532, 202, 154, 36, 13, 0], [0, 10, 63, 47, 446, 182, 476, 272, 98, 64, 5, 1], [0, 10, 64, 38, 482, 98, 602, 146, 182, 28, 14, 0], [0, 10, 64, 39, 474, 126, 546, 216, 126, 56, 6, 1], [0, 10, 65, 30, 510, 42, 672, 90, 210, 20, 15, 0], [0, 10, 65, 31, 502, 70, 616, 160, 154, 48, 7, 1], [0, 10, 66, 23, 530, 14, 686, 104, 182, 40, 8, 1], [0, 10, 66, 24, 522, 42, 630, 174, 126, 68, 0, 2], [0, 11, 50, 114, 258, 504, 126, 510, 6, 77, 8, 0], [0, 11, 51, 106, 286, 448, 196, 454, 34, 69, 9, 0], [0, 11, 52, 98, 314, 392, 266, 398, 62, 61, 10, 0], [0, 11, 52, 99, 306, 420, 210, 468, 6, 89, 2, 1], [0, 11, 53, 90, 342, 336, 336, 342, 90, 53, 11, 0], [0, 11, 53, 91, 334, 364, 280, 412, 34, 81, 3, 1], [0, 11, 54, 82, 370, 280, 406, 286, 118, 45, 12, 0], [0, 11, 54, 83, 362, 308, 350, 356, 62, 73, 4, 1], [0, 11, 55, 74, 398, 224, 476, 230, 146, 37, 13, 0], [0, 11, 55, 75, 390, 252, 420, 300, 90, 65, 5, 1], [0, 11, 56, 66, 426, 168, 546, 174, 174, 29, 14, 0], [0, 11, 56, 67, 418, 196, 490, 244, 118, 57, 6, 1], [0, 11, 57, 58, 454, 112, 616, 118, 202, 21, 15, 0], [0, 11, 57, 59, 446, 140, 560, 188, 146, 49, 7, 1], [0, 11, 58, 50, 482, 56, 686, 62, 230, 13, 16, 0], [0, 11, 58, 51, 474, 84, 630, 132, 174, 41, 8, 1], [0, 11, 58, 52, 466, 112, 574, 202, 118, 69, 0, 2], [0, 11, 59, 42, 510, 0, 756, 6, 258, 5, 17, 0], [0, 11, 59, 43, 502, 28, 700, 76, 202, 33, 9, 1], [0, 11, 59, 44, 494, 56, 644, 146, 146, 61, 1, 2], [0, 11, 60, 36, 522, 0, 714, 90, 174, 53, 2, 2], [0, 12, 43, 134, 230, 518, 140, 482, 26, 70, 9, 0], [0, 12, 44, 126, 258, 462, 210, 426, 54, 62, 10, 0], [0, 12, 45, 118, 286, 406, 280, 370, 82, 54, 11, 0], [0, 12, 45, 119, 278, 434, 224, 440, 26, 82, 3, 1], [0, 12, 46, 110, 314, 350, 350, 314, 110, 46, 12, 0], [0, 12, 46, 111, 306, 378, 294, 384, 54, 74, 4, 1], [0, 12, 47, 102, 342, 294, 420, 258, 138, 38, 13, 0], [0, 12, 47, 103, 334, 322, 364, 328, 82, 66, 5, 1], [0, 12, 48, 94, 370, 238, 490, 202, 166, 30, 14, 0], [0, 12, 48, 95, 362, 266, 434, 272, 110, 58, 6, 1], [0, 12, 49, 86, 398, 182, 560, 146, 194, 22, 15, 0], [0, 12, 49, 87, 390, 210, 504, 216, 138, 50, 7, 1], [0, 12, 50, 78, 426, 126, 630, 90, 222, 14, 16, 0], [0, 12, 50, 79, 418, 154, 574, 160, 166, 42, 8, 1], [0, 12, 50, 80, 410, 182, 518, 230, 110, 70, 0, 2], [0, 12, 51, 70, 454, 70, 700, 34, 250, 6, 17, 0], [0, 12, 51, 71, 446, 98, 644, 104, 194, 34, 9, 1], [0, 12, 51, 72, 438, 126, 588, 174, 138, 62, 1, 2], [0, 12, 52, 63, 474, 42, 714, 48, 222, 26, 10, 1], [0, 12, 52, 64, 466, 70, 658, 118, 166, 54, 2, 2], [0, 12, 53, 56, 494, 14, 728, 62, 194, 46, 3, 2], [0, 13, 35, 162, 174, 588, 84, 510, 18, 71, 9, 0], [0, 13, 36, 154, 202, 532, 154, 454, 46, 63, 10, 0], [0, 13, 37, 146, 230, 476, 224, 398, 74, 55, 11, 0], [0, 13, 37, 147, 222, 504, 168, 468, 18, 83, 3, 1], [0, 13, 38, 138, 258, 420, 294, 342, 102, 47, 12, 0], [0, 13, 38, 139, 250, 448, 238, 412, 46, 75, 4, 1], [0, 13, 39, 130, 286, 364, 364, 286, 130, 39, 13, 0], [0, 13, 39, 131, 278, 392, 308, 356, 74, 67, 5, 1], [0, 13, 40, 122, 314, 308, 434, 230, 158, 31, 14, 0], [0, 13, 40, 123, 306, 336, 378, 300, 102, 59, 6, 1], [0, 13, 41, 114, 342, 252, 504, 174, 186, 23, 15, 0], [0, 13, 41, 115, 334, 280, 448, 244, 130, 51, 7, 1], [0, 13, 42, 106, 370, 196, 574, 118, 214, 15, 16, 0], [0, 13, 42, 107, 362, 224, 518, 188, 158, 43, 8, 1], [0, 13, 42, 108, 354, 252, 462, 258, 102, 71, 0, 2], [0, 13, 43, 98, 398, 140, 644, 62, 242, 7, 17, 0], [0, 13, 43, 99, 390, 168, 588, 132, 186, 35, 9, 1], [0, 13, 43, 100, 382, 196, 532, 202, 130, 63, 1, 2], [0, 13, 44, 91, 418, 112, 658, 76, 214, 27, 10, 1], [0, 13, 44, 92, 410, 140, 602, 146, 158, 55, 2, 2], [0, 13, 45, 83, 446, 56, 728, 20, 242, 19, 11, 1], [0, 13, 45, 84, 438, 84, 672, 90, 186, 47, 3, 2], [0, 13, 46, 76, 466, 28, 742, 34, 214, 39, 4, 2], [0, 14, 27, 190, 118, 658, 28, 538, 10, 72, 9, 0], [0, 14, 28, 182, 146, 602, 98, 482, 38, 64, 10, 0], [0, 14, 29, 174, 174, 546, 168, 426, 66, 56, 11, 0], [0, 14, 29, 175, 166, 574, 112, 496, 10, 84, 3, 1], [0, 14, 30, 166, 202, 490, 238, 370, 94, 48, 12, 0], [0, 14, 30, 167, 194, 518, 182, 440, 38, 76, 4, 1], [0, 14, 31, 158, 230, 434, 308, 314, 122, 40, 13, 0], [0, 14, 31, 159, 222, 462, 252, 384, 66, 68, 5, 1], [0, 14, 32, 150, 258, 378, 378, 258, 150, 32, 14, 0], [0, 14, 32, 151, 250, 406, 322, 328, 94, 60, 6, 1], [0, 14, 33, 142, 286, 322, 448, 202, 178, 24, 15, 0], [0, 14, 33, 143, 278, 350, 392, 272, 122, 52, 7, 1], [0, 14, 34, 134, 314, 266, 518, 146, 206, 16, 16, 0], [0, 14, 34, 135, 306, 294, 462, 216, 150, 44, 8, 1], [0, 14, 34, 136, 298, 322, 406, 286, 94, 72, 0, 2], [0, 14, 35, 126, 342, 210, 588, 90, 234, 8, 17, 0], [0, 14, 35, 127, 334, 238, 532, 160, 178, 36, 9, 1], [0, 14, 35, 128, 326, 266, 476, 230, 122, 64, 1, 2], [0, 14, 36, 118, 370, 154, 658, 34, 262, 0, 18, 0], [0, 14, 36, 119, 362, 182, 602, 104, 206, 28, 10, 1], [0, 14, 36, 120, 354, 210, 546, 174, 150, 56, 2, 2], [0, 14, 37, 111, 390, 126, 672, 48, 234, 20, 11, 1], [0, 14, 37, 112, 382, 154, 616, 118, 178, 48, 3, 2], [0, 14, 38, 104, 410, 98, 686, 62, 206, 40, 4, 2], [0, 14, 39, 96, 438, 42, 756, 6, 234, 32, 5, 2], [0, 15, 20, 210, 90, 672, 42, 510, 30, 65, 10, 0], [0, 15, 21, 202, 118, 616, 112, 454, 58, 57, 11, 0], [0, 15, 21, 203, 110, 644, 56, 524, 2, 85, 3, 1], [0, 15, 22, 194, 146, 560, 182, 398, 86, 49, 12, 0], [0, 15, 22, 195, 138, 588, 126, 468, 30, 77, 4, 1], [0, 15, 23, 186, 174, 504, 252, 342, 114, 41, 13, 0], [0, 15, 23, 187, 166, 532, 196, 412, 58, 69, 5, 1], [0, 15, 24, 178, 202, 448, 322, 286, 142, 33, 14, 0], [0, 15, 24, 179, 194, 476, 266, 356, 86, 61, 6, 1], [0, 15, 25, 170, 230, 392, 392, 230, 170, 25, 15, 0], [0, 15, 25, 171, 222, 420, 336, 300, 114, 53, 7, 1], [0, 15, 26, 162, 258, 336, 462, 174, 198, 17, 16, 0], [0, 15, 26, 163, 250, 364, 406, 244, 142, 45, 8, 1], [0, 15, 26, 164, 242, 392, 350, 314, 86, 73, 0, 2], [0, 15, 27, 154, 286, 280, 532, 118, 226, 9, 17, 0], [0, 15, 27, 155, 278, 308, 476, 188, 170, 37, 9, 1], [0, 15, 27, 156, 270, 336, 420, 258, 114, 65, 1, 2], [0, 15, 28, 146, 314, 224, 602, 62, 254, 1, 18, 0], [0, 15, 28, 147, 306, 252, 546, 132, 198, 29, 10, 1], [0, 15, 28, 148, 298, 280, 490, 202, 142, 57, 2, 2], [0, 15, 29, 139, 334, 196, 616, 76, 226, 21, 11, 1], [0, 15, 29, 140, 326, 224, 560, 146, 170, 49, 3, 2], [0, 15, 30, 131, 362, 140, 686, 20, 254, 13, 12, 1], [0, 15, 30, 132, 354, 168, 630, 90, 198, 41, 4, 2], [0, 15, 31, 124, 382, 112, 700, 34, 226, 33, 5, 2], [0, 16, 13, 230, 62, 686, 56, 482, 50, 58, 11, 0], [0, 16, 14, 222, 90, 630, 126, 426, 78, 50, 12, 0], [0, 16, 14, 223, 82, 658, 70, 496, 22, 78, 4, 1], [0, 16, 15, 214, 118, 574, 196, 370, 106, 42, 13, 0], [0, 16, 15, 215, 110, 602, 140, 440, 50, 70, 5, 1], [0, 16, 16, 206, 146, 518, 266, 314, 134, 34, 14, 0], [0, 16, 16, 207, 138, 546, 210, 384, 78, 62, 6, 1], [0, 16, 17, 198, 174, 462, 336, 258, 162, 26, 15, 0], [0, 16, 17, 199, 166, 490, 280, 328, 106, 54, 7, 1], [0, 16, 18, 190, 202, 406, 406, 202, 190, 18, 16, 0], [0, 16, 18, 191, 194, 434, 350, 272, 134, 46, 8, 1], [0, 16, 18, 192, 186, 462, 294, 342, 78, 74, 0, 2], [0, 16, 19, 182, 230, 350, 476, 146, 218, 10, 17, 0], [0, 16, 19, 183, 222, 378, 420, 216, 162, 38, 9, 1], [0, 16, 19, 184, 214, 406, 364, 286, 106, 66, 1, 2], [0, 16, 20, 174, 258, 294, 546, 90, 246, 2, 18, 0], [0, 16, 20, 175, 250, 322, 490, 160, 190, 30, 10, 1], [0, 16, 20, 176, 242, 350, 434, 230, 134, 58, 2, 2], [0, 16, 21, 167, 278, 266, 560, 104, 218, 22, 11, 1], [0, 16, 21, 168, 270, 294, 504, 174, 162, 50, 3, 2], [0, 16, 22, 159, 306, 210, 630, 48, 246, 14, 12, 1], [0, 16, 22, 160, 298, 238, 574, 118, 190, 42, 4, 2], [0, 16, 23, 152, 326, 182, 644, 62, 218, 34, 5, 2], [0, 16, 24, 144, 354, 126, 714, 6, 246, 26, 6, 2], [0, 17, 5, 258, 6, 756, 0, 510, 42, 59, 11, 0], [0, 17, 6, 250, 34, 700, 70, 454, 70, 51, 12, 0], [0, 17, 6, 251, 26, 728, 14, 524, 14, 79, 4, 1], [0, 17, 7, 242, 62, 644, 140, 398, 98, 43, 13, 0], [0, 17, 7, 243, 54, 672, 84, 468, 42, 71, 5, 1], [0, 17, 8, 234, 90, 588, 210, 342, 126, 35, 14, 0], [0, 17, 8, 235, 82, 616, 154, 412, 70, 63, 6, 1], [0, 17, 9, 226, 118, 532, 280, 286, 154, 27, 15, 0], [0, 17, 9, 227, 110, 560, 224, 356, 98, 55, 7, 1], [0, 17, 10, 218, 146, 476, 350, 230, 182, 19, 16, 0], [0, 17, 10, 219, 138, 504, 294, 300, 126, 47, 8, 1], [0, 17, 10, 220, 130, 532, 238, 370, 70, 75, 0, 2], [0, 17, 11, 210, 174, 420, 420, 174, 210, 11, 17, 0], [0, 17, 11, 211, 166, 448, 364, 244, 154, 39, 9, 1], [0, 17, 11, 212, 158, 476, 308, 314, 98, 67, 1, 2], [0, 17, 12, 202, 202, 364, 490, 118, 238, 3, 18, 0], [0, 17, 12, 203, 194, 392, 434, 188, 182, 31, 10, 1], [0, 17, 12, 204, 186, 420, 378, 258, 126, 59, 2, 2], [0, 17, 13, 195, 222, 336, 504, 132, 210, 23, 11, 1], [0, 17, 13, 196, 214, 364, 448, 202, 154, 51, 3, 2], [0, 17, 14, 187, 250, 280, 574, 76, 238, 15, 12, 1], [0, 17, 14, 188, 242, 308, 518, 146, 182, 43, 4, 2], [0, 17, 15, 179, 278, 224, 644, 20, 266, 7, 13, 1], [0, 17, 15, 180, 270, 252, 588, 90, 210, 35, 5, 2], [0, 17, 16, 172, 298, 196, 658, 34, 238, 27, 6, 2], [0, 18, 0, 262, 34, 658, 154, 370, 118, 36, 14, 0], [0, 18, 0, 263, 26, 686, 98, 440, 62, 64, 6, 1], [0, 18, 1, 254, 62, 602, 224, 314, 146, 28, 15, 0], [0, 18, 1, 255, 54, 630, 168, 384, 90, 56, 7, 1], [0, 18, 2, 246, 90, 546, 294, 258, 174, 20, 16, 0], [0, 18, 2, 247, 82, 574, 238, 328, 118, 48, 8, 1], [0, 18, 2, 248, 74, 602, 182, 398, 62, 76, 0, 2], [0, 18, 3, 238, 118, 490, 364, 202, 202, 12, 17, 0], [0, 18, 3, 239, 110, 518, 308, 272, 146, 40, 9, 1], [0, 18, 3, 240, 102, 546, 252, 342, 90, 68, 1, 2], [0, 18, 4, 230, 146, 434, 434, 146, 230, 4, 18, 0], [0, 18, 4, 231, 138, 462, 378, 216, 174, 32, 10, 1], [0, 18, 4, 232, 130, 490, 322, 286, 118, 60, 2, 2], [0, 18, 5, 223, 166, 406, 448, 160, 202, 24, 11, 1], [0, 18, 5, 224, 158, 434, 392, 230, 146, 52, 3, 2], [0, 18, 6, 215, 194, 350, 518, 104, 230, 16, 12, 1], [0, 18, 6, 216, 186, 378, 462, 174, 174, 44, 4, 2], [0, 18, 7, 207, 222, 294, 588, 48, 258, 8, 13, 1], [0, 18, 7, 208, 214, 322, 532, 118, 202, 36, 5, 2], [0, 18, 8, 200, 242, 266, 602, 62, 230, 28, 6, 2], [0, 18, 9, 192, 270, 210, 672, 6, 258, 20, 7, 2], [0, 18, 10, 185, 290, 182, 686, 20, 230, 40, 0, 3], [0, 19, 0, 227, 194, 308, 602, 20, 278, 1, 14, 1], [0, 19, 0, 228, 186, 336, 546, 90, 222, 29, 6, 2], [0, 19, 1, 220, 214, 280, 616, 34, 250, 21, 7, 2], [0, 19, 2, 213, 234, 252, 630, 48, 222, 41, 0, 3], [1, 1, 94, 2, 440, 308, 266, 446, 23, 75, 8, 0], [1, 2, 86, 30, 384, 378, 210, 474, 15, 76, 8, 0], [1, 2, 87, 22, 412, 322, 280, 418, 43, 68, 9, 0], [1, 2, 88, 14, 440, 266, 350, 362, 71, 60, 10, 0], [1, 2, 88, 15, 432, 294, 294, 432, 15, 88, 2, 1], [1, 2, 89, 6, 468, 210, 420, 306, 99, 52, 11, 0], [1, 2, 89, 7, 460, 238, 364, 376, 43, 80, 3, 1], [1, 3, 78, 58, 328, 448, 154, 502, 7, 77, 8, 0], [1, 3, 79, 50, 356, 392, 224, 446, 35, 69, 9, 0], [1, 3, 80, 42, 384, 336, 294, 390, 63, 61, 10, 0], [1, 3, 80, 43, 376, 364, 238, 460, 7, 89, 2, 1], [1, 3, 81, 34, 412, 280, 364, 334, 91, 53, 11, 0], [1, 3, 81, 35, 404, 308, 308, 404, 35, 81, 3, 1], [1, 3, 82, 26, 440, 224, 434, 278, 119, 45, 12, 0], [1, 3, 82, 27, 432, 252, 378, 348, 63, 73, 4, 1], [1, 3, 83, 18, 468, 168, 504, 222, 147, 37, 13, 0], [1, 3, 83, 19, 460, 196, 448, 292, 91, 65, 5, 1], [1, 3, 84, 10, 496, 112, 574, 166, 175, 29, 14, 0], [1, 3, 84, 11, 488, 140, 518, 236, 119, 57, 6, 1], [1, 3, 85, 2, 524, 56, 644, 110, 203, 21, 15, 0], [1, 3, 85, 3, 516, 84, 588, 180, 147, 49, 7, 1], [1, 4, 71, 78, 300, 462, 168, 474, 27, 70, 9, 0], [1, 4, 72, 70, 328, 406, 238, 418, 55, 62, 10, 0], [1, 4, 73, 62, 356, 350, 308, 362, 83, 54, 11, 0], [1, 4, 73, 63, 348, 378, 252, 432, 27, 82, 3, 1], [1, 4, 74, 54, 384, 294, 378, 306, 111, 46, 12, 0], [1, 4, 74, 55, 376, 322, 322, 376, 55, 74, 4, 1], [1, 4, 75, 46, 412, 238, 448, 250, 139, 38, 13, 0], [1, 4, 75, 47, 404, 266, 392, 320, 83, 66, 5, 1], [1, 4, 76, 38, 440, 182, 518, 194, 167, 30, 14, 0], [1, 4, 76, 39, 432, 210, 462, 264, 111, 58, 6, 1], [1, 4, 77, 30, 468, 126, 588, 138, 195, 22, 15, 0], [1, 4, 77, 31, 460, 154, 532, 208, 139, 50, 7, 1], [1, 4, 78, 22, 496, 70, 658, 82, 223, 14, 16, 0], [1, 4, 78, 23, 488, 98, 602, 152, 167, 42, 8, 1], [1, 4, 78, 24, 480, 126, 546, 222, 111, 70, 0, 2], [1, 4, 79, 14, 524, 14, 728, 26, 251, 6, 17, 0], [1, 4, 79, 15, 516, 42, 672, 96, 195, 34, 9, 1], [1, 4, 79, 16, 508, 70, 616, 166, 139, 62, 1, 2], [1, 4, 80, 8, 536, 14, 686, 110, 167, 54, 2, 2], [1, 5, 63, 106, 244, 532, 112, 502, 19, 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196, 13, 17, 0], [2, 3, 51, 155, 194, 476, 308, 284, 140, 41, 9, 1], [2, 3, 51, 156, 186, 504, 252, 354, 84, 69, 1, 2], [2, 3, 52, 146, 230, 392, 434, 158, 224, 5, 18, 0], [2, 3, 52, 147, 222, 420, 378, 228, 168, 33, 10, 1], [2, 3, 52, 148, 214, 448, 322, 298, 112, 61, 2, 2], [2, 3, 53, 139, 250, 364, 448, 172, 196, 25, 11, 1], [2, 3, 53, 140, 242, 392, 392, 242, 140, 53, 3, 2], [2, 3, 54, 131, 278, 308, 518, 116, 224, 17, 12, 1], [2, 3, 54, 132, 270, 336, 462, 186, 168, 45, 4, 2], [2, 3, 55, 123, 306, 252, 588, 60, 252, 9, 13, 1], [2, 3, 55, 124, 298, 280, 532, 130, 196, 37, 5, 2], [2, 3, 56, 115, 334, 196, 658, 4, 280, 1, 14, 1], [2, 3, 56, 116, 326, 224, 602, 74, 224, 29, 6, 2], [2, 3, 57, 108, 354, 168, 672, 18, 252, 21, 7, 2], [2, 3, 58, 101, 374, 140, 686, 32, 224, 41, 0, 3], [2, 4, 39, 214, 34, 742, 28, 466, 76, 46, 13, 0], [2, 4, 40, 206, 62, 686, 98, 410, 104, 38, 14, 0], [2, 4, 40, 207, 54, 714, 42, 480, 48, 66, 6, 1], [2, 4, 41, 198, 90, 630, 168, 354, 132, 30, 15, 0], [2, 4, 41, 199, 82, 658, 112, 424, 76, 58, 7, 1], [2, 4, 42, 190, 118, 574, 238, 298, 160, 22, 16, 0], [2, 4, 42, 191, 110, 602, 182, 368, 104, 50, 8, 1], [2, 4, 42, 192, 102, 630, 126, 438, 48, 78, 0, 2], [2, 4, 43, 182, 146, 518, 308, 242, 188, 14, 17, 0], [2, 4, 43, 183, 138, 546, 252, 312, 132, 42, 9, 1], [2, 4, 43, 184, 130, 574, 196, 382, 76, 70, 1, 2], [2, 4, 44, 174, 174, 462, 378, 186, 216, 6, 18, 0], [2, 4, 44, 175, 166, 490, 322, 256, 160, 34, 10, 1], [2, 4, 44, 176, 158, 518, 266, 326, 104, 62, 2, 2], [2, 4, 45, 167, 194, 434, 392, 200, 188, 26, 11, 1], [2, 4, 45, 168, 186, 462, 336, 270, 132, 54, 3, 2], [2, 4, 46, 159, 222, 378, 462, 144, 216, 18, 12, 1], [2, 4, 46, 160, 214, 406, 406, 214, 160, 46, 4, 2], [2, 4, 47, 151, 250, 322, 532, 88, 244, 10, 13, 1], [2, 4, 47, 152, 242, 350, 476, 158, 188, 38, 5, 2], [2, 4, 48, 143, 278, 266, 602, 32, 272, 2, 14, 1], [2, 4, 48, 144, 270, 294, 546, 102, 216, 30, 6, 2], [2, 4, 49, 136, 298, 238, 616, 46, 244, 22, 7, 2], [2, 4, 50, 129, 318, 210, 630, 60, 216, 42, 0, 3], [2, 4, 51, 121, 346, 154, 700, 4, 244, 34, 1, 3], [2, 5, 32, 234, 6, 756, 42, 438, 96, 39, 14, 0], [2, 5, 33, 226, 34, 700, 112, 382, 124, 31, 15, 0], [2, 5, 33, 227, 26, 728, 56, 452, 68, 59, 7, 1], [2, 5, 34, 218, 62, 644, 182, 326, 152, 23, 16, 0], [2, 5, 34, 219, 54, 672, 126, 396, 96, 51, 8, 1], [2, 5, 34, 220, 46, 700, 70, 466, 40, 79, 0, 2], [2, 5, 35, 210, 90, 588, 252, 270, 180, 15, 17, 0], [2, 5, 35, 211, 82, 616, 196, 340, 124, 43, 9, 1], [2, 5, 35, 212, 74, 644, 140, 410, 68, 71, 1, 2], [2, 5, 36, 202, 118, 532, 322, 214, 208, 7, 18, 0], [2, 5, 36, 203, 110, 560, 266, 284, 152, 35, 10, 1], [2, 5, 36, 204, 102, 588, 210, 354, 96, 63, 2, 2], [2, 5, 37, 195, 138, 504, 336, 228, 180, 27, 11, 1], [2, 5, 37, 196, 130, 532, 280, 298, 124, 55, 3, 2], [2, 5, 38, 187, 166, 448, 406, 172, 208, 19, 12, 1], [2, 5, 38, 188, 158, 476, 350, 242, 152, 47, 4, 2], [2, 5, 39, 179, 194, 392, 476, 116, 236, 11, 13, 1], [2, 5, 39, 180, 186, 420, 420, 186, 180, 39, 5, 2], [2, 5, 40, 171, 222, 336, 546, 60, 264, 3, 14, 1], [2, 5, 40, 172, 214, 364, 490, 130, 208, 31, 6, 2], [2, 5, 41, 164, 242, 308, 560, 74, 236, 23, 7, 2], [2, 5, 42, 156, 270, 252, 630, 18, 264, 15, 8, 2], [2, 5, 42, 157, 262, 280, 574, 88, 208, 43, 0, 3], [2, 5, 43, 149, 290, 224, 644, 32, 236, 35, 1, 3], [2, 6, 26, 246, 6, 714, 126, 354, 144, 24, 16, 0], [2, 6, 27, 238, 34, 658, 196, 298, 172, 16, 17, 0], [2, 6, 27, 239, 26, 686, 140, 368, 116, 44, 9, 1], [2, 6, 27, 240, 18, 714, 84, 438, 60, 72, 1, 2], [2, 6, 28, 230, 62, 602, 266, 242, 200, 8, 18, 0], [2, 6, 28, 231, 54, 630, 210, 312, 144, 36, 10, 1], [2, 6, 28, 232, 46, 658, 154, 382, 88, 64, 2, 2], [2, 6, 29, 222, 90, 546, 336, 186, 228, 0, 19, 0], [2, 6, 29, 223, 82, 574, 280, 256, 172, 28, 11, 1], [2, 6, 29, 224, 74, 602, 224, 326, 116, 56, 3, 2], [2, 6, 30, 215, 110, 518, 350, 200, 200, 20, 12, 1], [2, 6, 30, 216, 102, 546, 294, 270, 144, 48, 4, 2], [2, 6, 31, 207, 138, 462, 420, 144, 228, 12, 13, 1], [2, 6, 31, 208, 130, 490, 364, 214, 172, 40, 5, 2], [2, 6, 32, 199, 166, 406, 490, 88, 256, 4, 14, 1], [2, 6, 32, 200, 158, 434, 434, 158, 200, 32, 6, 2], [2, 6, 33, 192, 186, 378, 504, 102, 228, 24, 7, 2], [2, 6, 34, 184, 214, 322, 574, 46, 256, 16, 8, 2], [2, 6, 34, 185, 206, 350, 518, 116, 200, 44, 0, 3], [2, 6, 35, 177, 234, 294, 588, 60, 228, 36, 1, 3], [2, 6, 36, 169, 262, 238, 658, 4, 256, 28, 2, 3], [2, 7, 20, 258, 6, 672, 210, 270, 192, 9, 18, 0], [2, 7, 21, 250, 34, 616, 280, 214, 220, 1, 19, 0], [2, 7, 21, 251, 26, 644, 224, 284, 164, 29, 11, 1], [2, 7, 21, 252, 18, 672, 168, 354, 108, 57, 3, 2], [2, 7, 22, 243, 54, 588, 294, 228, 192, 21, 12, 1], [2, 7, 22, 244, 46, 616, 238, 298, 136, 49, 4, 2], [2, 7, 23, 235, 82, 532, 364, 172, 220, 13, 13, 1], [2, 7, 23, 236, 74, 560, 308, 242, 164, 41, 5, 2], [2, 7, 24, 227, 110, 476, 434, 116, 248, 5, 14, 1], [2, 7, 24, 228, 102, 504, 378, 186, 192, 33, 6, 2], [2, 7, 25, 220, 130, 448, 448, 130, 220, 25, 7, 2], [2, 7, 26, 212, 158, 392, 518, 74, 248, 17, 8, 2], [2, 7, 26, 213, 150, 420, 462, 144, 192, 45, 0, 3], [2, 7, 27, 204, 186, 336, 588, 18, 276, 9, 9, 2], [2, 7, 27, 205, 178, 364, 532, 88, 220, 37, 1, 3], [2, 7, 28, 197, 206, 308, 602, 32, 248, 29, 2, 3], [2, 8, 15, 263, 26, 602, 308, 200, 212, 14, 13, 1], [2, 8, 15, 264, 18, 630, 252, 270, 156, 42, 5, 2], [2, 8, 16, 255, 54, 546, 378, 144, 240, 6, 14, 1], [2, 8, 16, 256, 46, 574, 322, 214, 184, 34, 6, 2], [2, 8, 17, 248, 74, 518, 392, 158, 212, 26, 7, 2], [2, 8, 18, 240, 102, 462, 462, 102, 240, 18, 8, 2], [2, 8, 18, 241, 94, 490, 406, 172, 184, 46, 0, 3], [2, 8, 19, 232, 130, 406, 532, 46, 268, 10, 9, 2], [2, 8, 19, 233, 122, 434, 476, 116, 212, 38, 1, 3], [2, 8, 20, 225, 150, 378, 546, 60, 240, 30, 2, 3], [2, 8, 21, 217, 178, 322, 616, 4, 268, 22, 3, 3], [2, 9, 9, 276, 18, 588, 336, 186, 204, 27, 7, 2], [2, 9, 10, 268, 46, 532, 406, 130, 232, 19, 8, 2], [2, 9, 10, 269, 38, 560, 350, 200, 176, 47, 0, 3], [2, 9, 11, 260, 74, 476, 476, 74, 260, 11, 9, 2], [2, 9, 11, 261, 66, 504, 420, 144, 204, 39, 1, 3], [2, 9, 12, 252, 102, 420, 546, 18, 288, 3, 10, 2], [2, 9, 12, 253, 94, 448, 490, 88, 232, 31, 2, 3], [2, 9, 13, 245, 122, 392, 560, 32, 260, 23, 3, 3], [2, 10, 3, 288, 18, 546, 420, 102, 252, 12, 9, 2], [2, 10, 3, 289, 10, 574, 364, 172, 196, 40, 1, 3], [2, 10, 4, 280, 46, 490, 490, 46, 280, 4, 10, 2], [2, 10, 4, 281, 38, 518, 434, 116, 224, 32, 2, 3], [2, 10, 5, 273, 66, 462, 504, 60, 252, 24, 3, 3], [2, 10, 6, 265, 94, 406, 574, 4, 280, 16, 4, 3], [3, 0, 40, 230, 20, 686, 182, 290, 185, 10, 18, 0], [3, 0, 40, 231, 12, 714, 126, 360, 129, 38, 10, 1], [3, 0, 40, 232, 4, 742, 70, 430, 73, 66, 2, 2], [3, 0, 41, 222, 48, 630, 252, 234, 213, 2, 19, 0], [3, 0, 41, 223, 40, 658, 196, 304, 157, 30, 11, 1], [3, 0, 41, 224, 32, 686, 140, 374, 101, 58, 3, 2], [3, 0, 42, 215, 68, 602, 266, 248, 185, 22, 12, 1], [3, 0, 42, 216, 60, 630, 210, 318, 129, 50, 4, 2], [3, 0, 43, 207, 96, 546, 336, 192, 213, 14, 13, 1], [3, 0, 43, 208, 88, 574, 280, 262, 157, 42, 5, 2], [3, 0, 44, 199, 124, 490, 406, 136, 241, 6, 14, 1], [3, 0, 44, 200, 116, 518, 350, 206, 185, 34, 6, 2], [3, 0, 45, 192, 144, 462, 420, 150, 213, 26, 7, 2], [3, 0, 46, 184, 172, 406, 490, 94, 241, 18, 8, 2], [3, 0, 46, 185, 164, 434, 434, 164, 185, 46, 0, 3], [3, 0, 47, 176, 200, 350, 560, 38, 269, 10, 9, 2], [3, 0, 47, 177, 192, 378, 504, 108, 213, 38, 1, 3], [3, 0, 48, 169, 220, 322, 574, 52, 241, 30, 2, 3], [3, 1, 34, 243, 12, 672, 210, 276, 177, 23, 12, 1], [3, 1, 34, 244, 4, 700, 154, 346, 121, 51, 4, 2], [3, 1, 35, 235, 40, 616, 280, 220, 205, 15, 13, 1], [3, 1, 35, 236, 32, 644, 224, 290, 149, 43, 5, 2], [3, 1, 36, 227, 68, 560, 350, 164, 233, 7, 14, 1], [3, 1, 36, 228, 60, 588, 294, 234, 177, 35, 6, 2], [3, 1, 37, 220, 88, 532, 364, 178, 205, 27, 7, 2], [3, 1, 38, 212, 116, 476, 434, 122, 233, 19, 8, 2], [3, 1, 38, 213, 108, 504, 378, 192, 177, 47, 0, 3], [3, 1, 39, 204, 144, 420, 504, 66, 261, 11, 9, 2], [3, 1, 39, 205, 136, 448, 448, 136, 205, 39, 1, 3], [3, 1, 40, 196, 172, 364, 574, 10, 289, 3, 10, 2], [3, 1, 40, 197, 164, 392, 518, 80, 233, 31, 2, 3], [3, 1, 41, 189, 192, 336, 588, 24, 261, 23, 3, 3], [3, 2, 28, 255, 12, 630, 294, 192, 225, 8, 14, 1], [3, 2, 28, 256, 4, 658, 238, 262, 169, 36, 6, 2], [3, 2, 29, 247, 40, 574, 364, 136, 253, 0, 15, 1], [3, 2, 29, 248, 32, 602, 308, 206, 197, 28, 7, 2], [3, 2, 30, 240, 60, 546, 378, 150, 225, 20, 8, 2], [3, 2, 30, 241, 52, 574, 322, 220, 169, 48, 0, 3], [3, 2, 31, 232, 88, 490, 448, 94, 253, 12, 9, 2], [3, 2, 31, 233, 80, 518, 392, 164, 197, 40, 1, 3], [3, 2, 32, 224, 116, 434, 518, 38, 281, 4, 10, 2], [3, 2, 32, 225, 108, 462, 462, 108, 225, 32, 2, 3], [3, 2, 33, 217, 136, 406, 532, 52, 253, 24, 3, 3], [3, 3, 22, 268, 4, 616, 322, 178, 217, 21, 8, 2], [3, 3, 23, 260, 32, 560, 392, 122, 245, 13, 9, 2], [3, 3, 23, 261, 24, 588, 336, 192, 189, 41, 1, 3], [3, 3, 24, 252, 60, 504, 462, 66, 273, 5, 10, 2], [3, 3, 24, 253, 52, 532, 406, 136, 217, 33, 2, 3], [3, 3, 25, 245, 80, 476, 476, 80, 245, 25, 3, 3], [3, 3, 26, 237, 108, 420, 546, 24, 273, 17, 4, 3], [3, 4, 16, 280, 4, 574, 406, 94, 265, 6, 10, 2], [3, 4, 17, 273, 24, 546, 420, 108, 237, 26, 3, 3], [3, 4, 18, 265, 52, 490, 490, 52, 265, 18, 4, 3], [3, 5, 11, 285, 24, 504, 504, 24, 285, 11, 5, 3], [4, 0, 18, 290, 2, 518, 518, 2, 290, 18, 0, 4]}
(12, 1664, 7) has 2528 possible DDs: {[0, 0, 63, 16, 204, 528, 42, 528, 204, 16, 63, 0, 0], [0, 0, 64, 8, 232, 472, 112, 472, 232, 8, 64, 0, 0], [0, 0, 64, 9, 224, 500, 56, 542, 176, 36, 56, 1, 0], [0, 0, 64, 10, 216, 528, 0, 612, 120, 64, 48, 2, 0], [0, 0, 65, 0, 260, 416, 182, 416, 260, 0, 65, 0, 0], [0, 0, 65, 1, 252, 444, 126, 486, 204, 28, 57, 1, 0], [0, 0, 65, 2, 244, 472, 70, 556, 148, 56, 49, 2, 0], [0, 0, 65, 3, 236, 500, 14, 626, 92, 84, 41, 3, 0], [0, 1, 56, 36, 176, 542, 56, 500, 224, 9, 64, 0, 0], [0, 1, 56, 37, 168, 570, 0, 570, 168, 37, 56, 1, 0], [0, 1, 57, 28, 204, 486, 126, 444, 252, 1, 65, 0, 0], [0, 1, 57, 29, 196, 514, 70, 514, 196, 29, 57, 1, 0], [0, 1, 57, 30, 188, 542, 14, 584, 140, 57, 49, 2, 0], [0, 1, 58, 21, 224, 458, 140, 458, 224, 21, 58, 1, 0], [0, 1, 58, 22, 216, 486, 84, 528, 168, 49, 50, 2, 0], [0, 1, 58, 23, 208, 514, 28, 598, 112, 77, 42, 3, 0], [0, 1, 59, 13, 252, 402, 210, 402, 252, 13, 59, 1, 0], [0, 1, 59, 14, 244, 430, 154, 472, 196, 41, 51, 2, 0], [0, 1, 59, 15, 236, 458, 98, 542, 140, 69, 43, 3, 0], [0, 1, 59, 16, 228, 486, 42, 612, 84, 97, 35, 4, 0], [0, 1, 60, 5, 280, 346, 280, 346, 280, 5, 60, 1, 0], [0, 1, 60, 6, 272, 374, 224, 416, 224, 33, 52, 2, 0], [0, 1, 60, 7, 264, 402, 168, 486, 168, 61, 44, 3, 0], [0, 1, 60, 8, 256, 430, 112, 556, 112, 89, 36, 4, 0], [0, 1, 60, 9, 248, 458, 56, 626, 56, 117, 28, 5, 0], [0, 1, 60, 10, 240, 486, 0, 696, 0, 145, 20, 6, 0], [0, 1, 61, 0, 284, 374, 182, 500, 140, 81, 37, 4, 0], [0, 1, 61, 1, 276, 402, 126, 570, 84, 109, 29, 5, 0], [0, 1, 61, 2, 268, 430, 70, 640, 28, 137, 21, 6, 0], [0, 2, 48, 64, 120, 612, 0, 528, 216, 10, 64, 0, 0], [0, 2, 49, 56, 148, 556, 70, 472, 244, 2, 65, 0, 0], [0, 2, 49, 57, 140, 584, 14, 542, 188, 30, 57, 1, 0], [0, 2, 50, 49, 168, 528, 84, 486, 216, 22, 58, 1, 0], [0, 2, 50, 50, 160, 556, 28, 556, 160, 50, 50, 2, 0], [0, 2, 51, 41, 196, 472, 154, 430, 244, 14, 59, 1, 0], [0, 2, 51, 42, 188, 500, 98, 500, 188, 42, 51, 2, 0], [0, 2, 51, 43, 180, 528, 42, 570, 132, 70, 43, 3, 0], [0, 2, 52, 33, 224, 416, 224, 374, 272, 6, 60, 1, 0], [0, 2, 52, 34, 216, 444, 168, 444, 216, 34, 52, 2, 0], [0, 2, 52, 35, 208, 472, 112, 514, 160, 62, 44, 3, 0], [0, 2, 52, 36, 200, 500, 56, 584, 104, 90, 36, 4, 0], [0, 2, 52, 37, 192, 528, 0, 654, 48, 118, 28, 5, 0], [0, 2, 53, 26, 244, 388, 238, 388, 244, 26, 53, 2, 0], [0, 2, 53, 27, 236, 416, 182, 458, 188, 54, 45, 3, 0], [0, 2, 53, 28, 228, 444, 126, 528, 132, 82, 37, 4, 0], [0, 2, 53, 29, 220, 472, 70, 598, 76, 110, 29, 5, 0], [0, 2, 53, 30, 212, 500, 14, 668, 20, 138, 21, 6, 0], [0, 2, 54, 18, 272, 332, 308, 332, 272, 18, 54, 2, 0], [0, 2, 54, 19, 264, 360, 252, 402, 216, 46, 46, 3, 0], [0, 2, 54, 20, 256, 388, 196, 472, 160, 74, 38, 4, 0], [0, 2, 54, 21, 248, 416, 140, 542, 104, 102, 30, 5, 0], [0, 2, 54, 22, 240, 444, 84, 612, 48, 130, 22, 6, 0], [0, 2, 54, 24, 225, 492, 0, 696, 6, 130, 34, 0, 1], [0, 2, 55, 10, 300, 276, 378, 276, 300, 10, 55, 2, 0], [0, 2, 55, 11, 292, 304, 322, 346, 244, 38, 47, 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