------- (12, 1408, 7) ALL distance distributions (7, 1408, 7) has 1 possible DDs: {[11, 77, 231, 385, 385, 231, 77, 11]} (8, 1408, 7) has 12 possible DDs: {[0, 88, 0, 616, 0, 616, 0, 88, 0], [1, 80, 28, 560, 70, 560, 28, 80, 1], [2, 72, 56, 504, 140, 504, 56, 72, 2], [3, 64, 84, 448, 210, 448, 84, 64, 3], [4, 56, 112, 392, 280, 392, 112, 56, 4], [5, 48, 140, 336, 350, 336, 140, 48, 5], [6, 40, 168, 280, 420, 280, 168, 40, 6], [7, 32, 196, 224, 490, 224, 196, 32, 7], [8, 24, 224, 168, 560, 168, 224, 24, 8], [9, 16, 252, 112, 630, 112, 252, 16, 9], [10, 8, 280, 56, 700, 56, 280, 8, 10], [11, 0, 308, 0, 770, 0, 308, 0, 11]} (9, 1408, 7) has 41 possible DDs: {[0, 44, 44, 308, 308, 308, 308, 44, 44, 0], [0, 45, 36, 336, 252, 378, 252, 72, 36, 1], [0, 46, 28, 364, 196, 448, 196, 100, 28, 2], [0, 47, 20, 392, 140, 518, 140, 128, 20, 3], [0, 48, 12, 420, 84, 588, 84, 156, 12, 4], [0, 49, 4, 448, 28, 658, 28, 184, 4, 5], [1, 36, 72, 252, 378, 252, 336, 36, 45, 0], [1, 37, 64, 280, 322, 322, 280, 64, 37, 1], [1, 38, 56, 308, 266, 392, 224, 92, 29, 2], [1, 39, 48, 336, 210, 462, 168, 120, 21, 3], [1, 40, 40, 364, 154, 532, 112, 148, 13, 4], [1, 41, 32, 392, 98, 602, 56, 176, 5, 5], [2, 28, 100, 196, 448, 196, 364, 28, 46, 0], [2, 29, 92, 224, 392, 266, 308, 56, 38, 1], [2, 30, 84, 252, 336, 336, 252, 84, 30, 2], [2, 31, 76, 280, 280, 406, 196, 112, 22, 3], [2, 32, 68, 308, 224, 476, 140, 140, 14, 4], [2, 33, 60, 336, 168, 546, 84, 168, 6, 5], [3, 20, 128, 140, 518, 140, 392, 20, 47, 0], [3, 21, 120, 168, 462, 210, 336, 48, 39, 1], [3, 22, 112, 196, 406, 280, 280, 76, 31, 2], [3, 23, 104, 224, 350, 350, 224, 104, 23, 3], [3, 24, 96, 252, 294, 420, 168, 132, 15, 4], [3, 25, 88, 280, 238, 490, 112, 160, 7, 5], [4, 12, 156, 84, 588, 84, 420, 12, 48, 0], [4, 13, 148, 112, 532, 154, 364, 40, 40, 1], [4, 14, 140, 140, 476, 224, 308, 68, 32, 2], [4, 15, 132, 168, 420, 294, 252, 96, 24, 3], [4, 16, 124, 196, 364, 364, 196, 124, 16, 4], [4, 17, 116, 224, 308, 434, 140, 152, 8, 5], [4, 18, 108, 252, 252, 504, 84, 180, 0, 6], [5, 4, 184, 28, 658, 28, 448, 4, 49, 0], [5, 5, 176, 56, 602, 98, 392, 32, 41, 1], [5, 6, 168, 84, 546, 168, 336, 60, 33, 2], [5, 7, 160, 112, 490, 238, 280, 88, 25, 3], [5, 8, 152, 140, 434, 308, 224, 116, 17, 4], [5, 9, 144, 168, 378, 378, 168, 144, 9, 5], [5, 10, 136, 196, 322, 448, 112, 172, 1, 6], [6, 0, 180, 84, 504, 252, 252, 108, 18, 4], [6, 1, 172, 112, 448, 322, 196, 136, 10, 5], [6, 2, 164, 140, 392, 392, 140, 164, 2, 6]} (10, 1408, 7) has 141 possible DDs: {[0, 18, 76, 64, 532, 28, 532, 64, 76, 18, 0], [0, 19, 68, 92, 476, 98, 476, 92, 68, 19, 0], [0, 19, 69, 84, 504, 42, 546, 36, 96, 11, 1], [0, 20, 60, 120, 420, 168, 420, 120, 60, 20, 0], [0, 20, 61, 112, 448, 112, 490, 64, 88, 12, 1], [0, 20, 62, 104, 476, 56, 560, 8, 116, 4, 2], [0, 21, 52, 148, 364, 238, 364, 148, 52, 21, 0], [0, 21, 53, 140, 392, 182, 434, 92, 80, 13, 1], [0, 21, 54, 132, 420, 126, 504, 36, 108, 5, 2], [0, 22, 44, 176, 308, 308, 308, 176, 44, 22, 0], [0, 22, 45, 168, 336, 252, 378, 120, 72, 14, 1], [0, 22, 46, 160, 364, 196, 448, 64, 100, 6, 2], [0, 23, 36, 204, 252, 378, 252, 204, 36, 23, 0], [0, 23, 37, 196, 280, 322, 322, 148, 64, 15, 1], [0, 23, 38, 188, 308, 266, 392, 92, 92, 7, 2], [0, 24, 28, 232, 196, 448, 196, 232, 28, 24, 0], [0, 24, 29, 224, 224, 392, 266, 176, 56, 16, 1], [0, 24, 30, 216, 252, 336, 336, 120, 84, 8, 2], [0, 24, 31, 208, 280, 280, 406, 64, 112, 0, 3], [0, 25, 20, 260, 140, 518, 140, 260, 20, 25, 0], [0, 25, 21, 252, 168, 462, 210, 204, 48, 17, 1], [0, 25, 22, 244, 196, 406, 280, 148, 76, 9, 2], [0, 25, 23, 236, 224, 350, 350, 92, 104, 1, 3], [0, 26, 12, 288, 84, 588, 84, 288, 12, 26, 0], [0, 26, 13, 280, 112, 532, 154, 232, 40, 18, 1], [0, 26, 14, 272, 140, 476, 224, 176, 68, 10, 2], [0, 26, 15, 264, 168, 420, 294, 120, 96, 2, 3], [0, 27, 4, 316, 28, 658, 28, 316, 4, 27, 0], [0, 27, 5, 308, 56, 602, 98, 260, 32, 19, 1], [0, 27, 6, 300, 84, 546, 168, 204, 60, 11, 2], [0, 27, 7, 292, 112, 490, 238, 148, 88, 3, 3], [1, 11, 96, 36, 546, 42, 504, 84, 69, 19, 0], [1, 12, 88, 64, 490, 112, 448, 112, 61, 20, 0], [1, 12, 89, 56, 518, 56, 518, 56, 89, 12, 1], [1, 12, 90, 48, 546, 0, 588, 0, 117, 4, 2], [1, 13, 80, 92, 434, 182, 392, 140, 53, 21, 0], [1, 13, 81, 84, 462, 126, 462, 84, 81, 13, 1], [1, 13, 82, 76, 490, 70, 532, 28, 109, 5, 2], [1, 14, 72, 120, 378, 252, 336, 168, 45, 22, 0], [1, 14, 73, 112, 406, 196, 406, 112, 73, 14, 1], [1, 14, 74, 104, 434, 140, 476, 56, 101, 6, 2], [1, 15, 64, 148, 322, 322, 280, 196, 37, 23, 0], [1, 15, 65, 140, 350, 266, 350, 140, 65, 15, 1], [1, 15, 66, 132, 378, 210, 420, 84, 93, 7, 2], [1, 16, 56, 176, 266, 392, 224, 224, 29, 24, 0], [1, 16, 57, 168, 294, 336, 294, 168, 57, 16, 1], [1, 16, 58, 160, 322, 280, 364, 112, 85, 8, 2], [1, 16, 59, 152, 350, 224, 434, 56, 113, 0, 3], [1, 17, 48, 204, 210, 462, 168, 252, 21, 25, 0], [1, 17, 49, 196, 238, 406, 238, 196, 49, 17, 1], [1, 17, 50, 188, 266, 350, 308, 140, 77, 9, 2], [1, 17, 51, 180, 294, 294, 378, 84, 105, 1, 3], [1, 18, 40, 232, 154, 532, 112, 280, 13, 26, 0], [1, 18, 41, 224, 182, 476, 182, 224, 41, 18, 1], [1, 18, 42, 216, 210, 420, 252, 168, 69, 10, 2], [1, 18, 43, 208, 238, 364, 322, 112, 97, 2, 3], [1, 19, 32, 260, 98, 602, 56, 308, 5, 27, 0], [1, 19, 33, 252, 126, 546, 126, 252, 33, 19, 1], [1, 19, 34, 244, 154, 490, 196, 196, 61, 11, 2], [1, 19, 35, 236, 182, 434, 266, 140, 89, 3, 3], [1, 20, 25, 280, 70, 616, 70, 280, 25, 20, 1], [1, 20, 26, 272, 98, 560, 140, 224, 53, 12, 2], [1, 20, 27, 264, 126, 504, 210, 168, 81, 4, 3], [1, 21, 17, 308, 14, 686, 14, 308, 17, 21, 1], [1, 21, 18, 300, 42, 630, 84, 252, 45, 13, 2], [1, 21, 19, 292, 70, 574, 154, 196, 73, 5, 3], [1, 22, 11, 320, 14, 644, 98, 224, 65, 6, 3], [2, 4, 116, 8, 560, 56, 476, 104, 62, 20, 0], [2, 4, 117, 0, 588, 0, 546, 48, 90, 12, 1], [2, 5, 108, 36, 504, 126, 420, 132, 54, 21, 0], [2, 5, 109, 28, 532, 70, 490, 76, 82, 13, 1], [2, 5, 110, 20, 560, 14, 560, 20, 110, 5, 2], [2, 6, 100, 64, 448, 196, 364, 160, 46, 22, 0], [2, 6, 101, 56, 476, 140, 434, 104, 74, 14, 1], [2, 6, 102, 48, 504, 84, 504, 48, 102, 6, 2], [2, 7, 92, 92, 392, 266, 308, 188, 38, 23, 0], [2, 7, 93, 84, 420, 210, 378, 132, 66, 15, 1], [2, 7, 94, 76, 448, 154, 448, 76, 94, 7, 2], [2, 8, 84, 120, 336, 336, 252, 216, 30, 24, 0], [2, 8, 85, 112, 364, 280, 322, 160, 58, 16, 1], [2, 8, 86, 104, 392, 224, 392, 104, 86, 8, 2], [2, 8, 87, 96, 420, 168, 462, 48, 114, 0, 3], [2, 9, 76, 148, 280, 406, 196, 244, 22, 25, 0], [2, 9, 77, 140, 308, 350, 266, 188, 50, 17, 1], [2, 9, 78, 132, 336, 294, 336, 132, 78, 9, 2], [2, 9, 79, 124, 364, 238, 406, 76, 106, 1, 3], [2, 10, 68, 176, 224, 476, 140, 272, 14, 26, 0], [2, 10, 69, 168, 252, 420, 210, 216, 42, 18, 1], [2, 10, 70, 160, 280, 364, 280, 160, 70, 10, 2], [2, 10, 71, 152, 308, 308, 350, 104, 98, 2, 3], [2, 11, 60, 204, 168, 546, 84, 300, 6, 27, 0], [2, 11, 61, 196, 196, 490, 154, 244, 34, 19, 1], [2, 11, 62, 188, 224, 434, 224, 188, 62, 11, 2], [2, 11, 63, 180, 252, 378, 294, 132, 90, 3, 3], [2, 12, 53, 224, 140, 560, 98, 272, 26, 20, 1], [2, 12, 54, 216, 168, 504, 168, 216, 54, 12, 2], [2, 12, 55, 208, 196, 448, 238, 160, 82, 4, 3], [2, 13, 45, 252, 84, 630, 42, 300, 18, 21, 1], [2, 13, 46, 244, 112, 574, 112, 244, 46, 13, 2], [2, 13, 47, 236, 140, 518, 182, 188, 74, 5, 3], [2, 14, 38, 272, 56, 644, 56, 272, 38, 14, 2], [2, 14, 39, 264, 84, 588, 126, 216, 66, 6, 3], [2, 15, 30, 300, 0, 714, 0, 300, 30, 15, 2], [2, 15, 31, 292, 28, 658, 70, 244, 58, 7, 3], [2, 16, 24, 312, 0, 672, 84, 216, 78, 0, 4], [3, 0, 112, 64, 406, 280, 280, 208, 31, 24, 0], [3, 0, 113, 56, 434, 224, 350, 152, 59, 16, 1], [3, 0, 114, 48, 462, 168, 420, 96, 87, 8, 2], [3, 0, 115, 40, 490, 112, 490, 40, 115, 0, 3], [3, 1, 104, 92, 350, 350, 224, 236, 23, 25, 0], [3, 1, 105, 84, 378, 294, 294, 180, 51, 17, 1], [3, 1, 106, 76, 406, 238, 364, 124, 79, 9, 2], [3, 1, 107, 68, 434, 182, 434, 68, 107, 1, 3], [3, 2, 96, 120, 294, 420, 168, 264, 15, 26, 0], [3, 2, 97, 112, 322, 364, 238, 208, 43, 18, 1], [3, 2, 98, 104, 350, 308, 308, 152, 71, 10, 2], [3, 2, 99, 96, 378, 252, 378, 96, 99, 2, 3], [3, 3, 88, 148, 238, 490, 112, 292, 7, 27, 0], [3, 3, 89, 140, 266, 434, 182, 236, 35, 19, 1], [3, 3, 90, 132, 294, 378, 252, 180, 63, 11, 2], [3, 3, 91, 124, 322, 322, 322, 124, 91, 3, 3], [3, 4, 81, 168, 210, 504, 126, 264, 27, 20, 1], [3, 4, 82, 160, 238, 448, 196, 208, 55, 12, 2], [3, 4, 83, 152, 266, 392, 266, 152, 83, 4, 3], [3, 5, 73, 196, 154, 574, 70, 292, 19, 21, 1], [3, 5, 74, 188, 182, 518, 140, 236, 47, 13, 2], [3, 5, 75, 180, 210, 462, 210, 180, 75, 5, 3], [3, 6, 65, 224, 98, 644, 14, 320, 11, 22, 1], [3, 6, 66, 216, 126, 588, 84, 264, 39, 14, 2], [3, 6, 67, 208, 154, 532, 154, 208, 67, 6, 3], [3, 7, 58, 244, 70, 658, 28, 292, 31, 15, 2], [3, 7, 59, 236, 98, 602, 98, 236, 59, 7, 3], [3, 8, 51, 264, 42, 672, 42, 264, 51, 8, 3], [3, 8, 52, 256, 70, 616, 112, 208, 79, 0, 4], [3, 9, 44, 284, 14, 686, 56, 236, 71, 1, 4], [4, 0, 78, 216, 84, 672, 0, 312, 24, 16, 2], [4, 0, 79, 208, 112, 616, 70, 256, 52, 8, 3], [4, 0, 80, 200, 140, 560, 140, 200, 80, 0, 4], [4, 1, 71, 236, 56, 686, 14, 284, 44, 9, 3], [4, 1, 72, 228, 84, 630, 84, 228, 72, 1, 4], [4, 2, 64, 256, 28, 700, 28, 256, 64, 2, 4]} (11, 1408, 7) has 420 possible DDs: {[0, 6, 68, 10, 382, 238, 238, 382, 10, 68, 6, 0], [0, 6, 69, 2, 410, 182, 308, 326, 38, 60, 7, 0], [0, 7, 60, 38, 326, 308, 182, 410, 2, 69, 6, 0], [0, 7, 61, 30, 354, 252, 252, 354, 30, 61, 7, 0], [0, 7, 62, 22, 382, 196, 322, 298, 58, 53, 8, 0], [0, 7, 62, 23, 374, 224, 266, 368, 2, 81, 0, 1], [0, 7, 63, 14, 410, 140, 392, 242, 86, 45, 9, 0], [0, 7, 63, 15, 402, 168, 336, 312, 30, 73, 1, 1], [0, 7, 64, 6, 438, 84, 462, 186, 114, 37, 10, 0], [0, 7, 64, 7, 430, 112, 406, 256, 58, 65, 2, 1], [0, 8, 53, 58, 298, 322, 196, 382, 22, 62, 7, 0], [0, 8, 54, 50, 326, 266, 266, 326, 50, 54, 8, 0], [0, 8, 55, 42, 354, 210, 336, 270, 78, 46, 9, 0], [0, 8, 55, 43, 346, 238, 280, 340, 22, 74, 1, 1], [0, 8, 56, 34, 382, 154, 406, 214, 106, 38, 10, 0], [0, 8, 56, 35, 374, 182, 350, 284, 50, 66, 2, 1], [0, 8, 57, 26, 410, 98, 476, 158, 134, 30, 11, 0], [0, 8, 57, 27, 402, 126, 420, 228, 78, 58, 3, 1], [0, 8, 58, 18, 438, 42, 546, 102, 162, 22, 12, 0], [0, 8, 58, 19, 430, 70, 490, 172, 106, 50, 4, 1], [0, 8, 59, 11, 458, 14, 560, 116, 134, 42, 5, 1], [0, 9, 45, 86, 242, 392, 140, 410, 14, 63, 7, 0], [0, 9, 46, 78, 270, 336, 210, 354, 42, 55, 8, 0], [0, 9, 47, 70, 298, 280, 280, 298, 70, 47, 9, 0], [0, 9, 47, 71, 290, 308, 224, 368, 14, 75, 1, 1], [0, 9, 48, 62, 326, 224, 350, 242, 98, 39, 10, 0], [0, 9, 48, 63, 318, 252, 294, 312, 42, 67, 2, 1], [0, 9, 49, 54, 354, 168, 420, 186, 126, 31, 11, 0], [0, 9, 49, 55, 346, 196, 364, 256, 70, 59, 3, 1], [0, 9, 50, 46, 382, 112, 490, 130, 154, 23, 12, 0], [0, 9, 50, 47, 374, 140, 434, 200, 98, 51, 4, 1], [0, 9, 51, 38, 410, 56, 560, 74, 182, 15, 13, 0], [0, 9, 51, 39, 402, 84, 504, 144, 126, 43, 5, 1], [0, 9, 52, 30, 438, 0, 630, 18, 210, 7, 14, 0], [0, 9, 52, 31, 430, 28, 574, 88, 154, 35, 6, 1], [0, 10, 37, 114, 186, 462, 84, 438, 6, 64, 7, 0], [0, 10, 38, 106, 214, 406, 154, 382, 34, 56, 8, 0], [0, 10, 39, 98, 242, 350, 224, 326, 62, 48, 9, 0], [0, 10, 39, 99, 234, 378, 168, 396, 6, 76, 1, 1], [0, 10, 40, 90, 270, 294, 294, 270, 90, 40, 10, 0], [0, 10, 40, 91, 262, 322, 238, 340, 34, 68, 2, 1], [0, 10, 41, 82, 298, 238, 364, 214, 118, 32, 11, 0], [0, 10, 41, 83, 290, 266, 308, 284, 62, 60, 3, 1], [0, 10, 42, 74, 326, 182, 434, 158, 146, 24, 12, 0], [0, 10, 42, 75, 318, 210, 378, 228, 90, 52, 4, 1], [0, 10, 43, 66, 354, 126, 504, 102, 174, 16, 13, 0], [0, 10, 43, 67, 346, 154, 448, 172, 118, 44, 5, 1], [0, 10, 44, 58, 382, 70, 574, 46, 202, 8, 14, 0], [0, 10, 44, 59, 374, 98, 518, 116, 146, 36, 6, 1], [0, 10, 45, 51, 402, 42, 588, 60, 174, 28, 7, 1], [0, 10, 46, 44, 422, 14, 602, 74, 146, 48, 0, 2], [0, 11, 30, 134, 158, 476, 98, 410, 26, 57, 8, 0], [0, 11, 31, 126, 186, 420, 168, 354, 54, 49, 9, 0], [0, 11, 32, 118, 214, 364, 238, 298, 82, 41, 10, 0], [0, 11, 32, 119, 206, 392, 182, 368, 26, 69, 2, 1], [0, 11, 33, 110, 242, 308, 308, 242, 110, 33, 11, 0], [0, 11, 33, 111, 234, 336, 252, 312, 54, 61, 3, 1], [0, 11, 34, 102, 270, 252, 378, 186, 138, 25, 12, 0], [0, 11, 34, 103, 262, 280, 322, 256, 82, 53, 4, 1], [0, 11, 35, 94, 298, 196, 448, 130, 166, 17, 13, 0], [0, 11, 35, 95, 290, 224, 392, 200, 110, 45, 5, 1], [0, 11, 36, 86, 326, 140, 518, 74, 194, 9, 14, 0], [0, 11, 36, 87, 318, 168, 462, 144, 138, 37, 6, 1], [0, 11, 37, 78, 354, 84, 588, 18, 222, 1, 15, 0], [0, 11, 37, 79, 346, 112, 532, 88, 166, 29, 7, 1], [0, 11, 38, 71, 374, 56, 602, 32, 194, 21, 8, 1], [0, 11, 38, 72, 366, 84, 546, 102, 138, 49, 0, 2], [0, 11, 39, 64, 394, 28, 616, 46, 166, 41, 1, 2], [0, 12, 22, 162, 102, 546, 42, 438, 18, 58, 8, 0], [0, 12, 23, 154, 130, 490, 112, 382, 46, 50, 9, 0], [0, 12, 24, 146, 158, 434, 182, 326, 74, 42, 10, 0], [0, 12, 24, 147, 150, 462, 126, 396, 18, 70, 2, 1], [0, 12, 25, 138, 186, 378, 252, 270, 102, 34, 11, 0], [0, 12, 25, 139, 178, 406, 196, 340, 46, 62, 3, 1], [0, 12, 26, 130, 214, 322, 322, 214, 130, 26, 12, 0], [0, 12, 26, 131, 206, 350, 266, 284, 74, 54, 4, 1], [0, 12, 27, 122, 242, 266, 392, 158, 158, 18, 13, 0], [0, 12, 27, 123, 234, 294, 336, 228, 102, 46, 5, 1], [0, 12, 28, 114, 270, 210, 462, 102, 186, 10, 14, 0], [0, 12, 28, 115, 262, 238, 406, 172, 130, 38, 6, 1], [0, 12, 29, 106, 298, 154, 532, 46, 214, 2, 15, 0], [0, 12, 29, 107, 290, 182, 476, 116, 158, 30, 7, 1], [0, 12, 30, 99, 318, 126, 546, 60, 186, 22, 8, 1], [0, 12, 30, 100, 310, 154, 490, 130, 130, 50, 0, 2], [0, 12, 31, 91, 346, 70, 616, 4, 214, 14, 9, 1], [0, 12, 31, 92, 338, 98, 560, 74, 158, 42, 1, 2], [0, 12, 32, 84, 366, 42, 630, 18, 186, 34, 2, 2], [0, 13, 15, 182, 74, 560, 56, 410, 38, 51, 9, 0], [0, 13, 16, 174, 102, 504, 126, 354, 66, 43, 10, 0], [0, 13, 16, 175, 94, 532, 70, 424, 10, 71, 2, 1], [0, 13, 17, 166, 130, 448, 196, 298, 94, 35, 11, 0], [0, 13, 17, 167, 122, 476, 140, 368, 38, 63, 3, 1], [0, 13, 18, 158, 158, 392, 266, 242, 122, 27, 12, 0], [0, 13, 18, 159, 150, 420, 210, 312, 66, 55, 4, 1], [0, 13, 19, 150, 186, 336, 336, 186, 150, 19, 13, 0], [0, 13, 19, 151, 178, 364, 280, 256, 94, 47, 5, 1], [0, 13, 20, 142, 214, 280, 406, 130, 178, 11, 14, 0], [0, 13, 20, 143, 206, 308, 350, 200, 122, 39, 6, 1], [0, 13, 21, 134, 242, 224, 476, 74, 206, 3, 15, 0], [0, 13, 21, 135, 234, 252, 420, 144, 150, 31, 7, 1], [0, 13, 22, 127, 262, 196, 490, 88, 178, 23, 8, 1], [0, 13, 22, 128, 254, 224, 434, 158, 122, 51, 0, 2], [0, 13, 23, 119, 290, 140, 560, 32, 206, 15, 9, 1], [0, 13, 23, 120, 282, 168, 504, 102, 150, 43, 1, 2], [0, 13, 24, 112, 310, 112, 574, 46, 178, 35, 2, 2], [0, 14, 7, 210, 18, 630, 0, 438, 30, 52, 9, 0], [0, 14, 8, 202, 46, 574, 70, 382, 58, 44, 10, 0], [0, 14, 8, 203, 38, 602, 14, 452, 2, 72, 2, 1], [0, 14, 9, 194, 74, 518, 140, 326, 86, 36, 11, 0], [0, 14, 9, 195, 66, 546, 84, 396, 30, 64, 3, 1], [0, 14, 10, 186, 102, 462, 210, 270, 114, 28, 12, 0], [0, 14, 10, 187, 94, 490, 154, 340, 58, 56, 4, 1], [0, 14, 11, 178, 130, 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6, 11, 228, 30, 462, 336, 114, 192, 20, 5, 2], [2, 6, 12, 220, 58, 406, 406, 58, 220, 12, 6, 2], [2, 6, 13, 212, 86, 350, 476, 2, 248, 4, 7, 2], [2, 6, 14, 205, 106, 322, 490, 16, 220, 24, 0, 3], [2, 7, 4, 248, 2, 476, 350, 86, 212, 13, 6, 2], [2, 7, 5, 240, 30, 420, 420, 30, 240, 5, 7, 2], [2, 7, 6, 233, 50, 392, 434, 44, 212, 25, 0, 3], [3, 0, 24, 220, 16, 490, 322, 106, 205, 14, 6, 2], [3, 0, 25, 212, 44, 434, 392, 50, 233, 6, 7, 2], [3, 0, 26, 205, 64, 406, 406, 64, 205, 26, 0, 3], [3, 0, 27, 197, 92, 350, 476, 8, 233, 18, 1, 3], [3, 1, 18, 233, 8, 476, 350, 92, 197, 27, 0, 3], [3, 1, 19, 225, 36, 420, 420, 36, 225, 19, 1, 3], [3, 2, 12, 245, 8, 434, 434, 8, 245, 12, 2, 3]} (12, 1408, 7) has 1224 possible DDs: {[0, 0, 53, 16, 164, 464, 14, 464, 164, 16, 53, 0, 0], [0, 0, 54, 8, 192, 408, 84, 408, 192, 8, 54, 0, 0], [0, 0, 54, 9, 184, 436, 28, 478, 136, 36, 46, 1, 0], [0, 0, 55, 0, 220, 352, 154, 352, 220, 0, 55, 0, 0], [0, 0, 55, 1, 212, 380, 98, 422, 164, 28, 47, 1, 0], [0, 0, 55, 2, 204, 408, 42, 492, 108, 56, 39, 2, 0], [0, 1, 46, 36, 136, 478, 28, 436, 184, 9, 54, 0, 0], [0, 1, 47, 28, 164, 422, 98, 380, 212, 1, 55, 0, 0], [0, 1, 47, 29, 156, 450, 42, 450, 156, 29, 47, 1, 0], [0, 1, 48, 21, 184, 394, 112, 394, 184, 21, 48, 1, 0], [0, 1, 48, 22, 176, 422, 56, 464, 128, 49, 40, 2, 0], [0, 1, 48, 23, 168, 450, 0, 534, 72, 77, 32, 3, 0], [0, 1, 49, 13, 212, 338, 182, 338, 212, 13, 49, 1, 0], [0, 1, 49, 14, 204, 366, 126, 408, 156, 41, 41, 2, 0], [0, 1, 49, 15, 196, 394, 70, 478, 100, 69, 33, 3, 0], [0, 1, 49, 16, 188, 422, 14, 548, 44, 97, 25, 4, 0], [0, 1, 50, 5, 240, 282, 252, 282, 240, 5, 50, 1, 0], [0, 1, 50, 6, 232, 310, 196, 352, 184, 33, 42, 2, 0], [0, 1, 50, 7, 224, 338, 140, 422, 128, 61, 34, 3, 0], [0, 1, 50, 8, 216, 366, 84, 492, 72, 89, 26, 4, 0], [0, 1, 50, 9, 208, 394, 28, 562, 16, 117, 18, 5, 0], [0, 1, 51, 0, 244, 310, 154, 436, 100, 81, 27, 4, 0], [0, 1, 51, 1, 236, 338, 98, 506, 44, 109, 19, 5, 0], [0, 2, 39, 56, 108, 492, 42, 408, 204, 2, 55, 0, 0], [0, 2, 40, 49, 128, 464, 56, 422, 176, 22, 48, 1, 0], [0, 2, 40, 50, 120, 492, 0, 492, 120, 50, 40, 2, 0], [0, 2, 41, 41, 156, 408, 126, 366, 204, 14, 49, 1, 0], [0, 2, 41, 42, 148, 436, 70, 436, 148, 42, 41, 2, 0], [0, 2, 41, 43, 140, 464, 14, 506, 92, 70, 33, 3, 0], [0, 2, 42, 33, 184, 352, 196, 310, 232, 6, 50, 1, 0], [0, 2, 42, 34, 176, 380, 140, 380, 176, 34, 42, 2, 0], [0, 2, 42, 35, 168, 408, 84, 450, 120, 62, 34, 3, 0], [0, 2, 42, 36, 160, 436, 28, 520, 64, 90, 26, 4, 0], [0, 2, 43, 26, 204, 324, 210, 324, 204, 26, 43, 2, 0], [0, 2, 43, 27, 196, 352, 154, 394, 148, 54, 35, 3, 0], [0, 2, 43, 28, 188, 380, 98, 464, 92, 82, 27, 4, 0], [0, 2, 43, 29, 180, 408, 42, 534, 36, 110, 19, 5, 0], [0, 2, 44, 18, 232, 268, 280, 268, 232, 18, 44, 2, 0], [0, 2, 44, 19, 224, 296, 224, 338, 176, 46, 36, 3, 0], [0, 2, 44, 20, 216, 324, 168, 408, 120, 74, 28, 4, 0], [0, 2, 44, 21, 208, 352, 112, 478, 64, 102, 20, 5, 0], [0, 2, 44, 22, 200, 380, 56, 548, 8, 130, 12, 6, 0], [0, 2, 45, 10, 260, 212, 350, 212, 260, 10, 45, 2, 0], [0, 2, 45, 11, 252, 240, 294, 282, 204, 38, 37, 3, 0], [0, 2, 45, 12, 244, 268, 238, 352, 148, 66, 29, 4, 0], [0, 2, 45, 13, 236, 296, 182, 422, 92, 94, 21, 5, 0], [0, 2, 45, 14, 228, 324, 126, 492, 36, 122, 13, 6, 0], [0, 2, 46, 2, 288, 156, 420, 156, 288, 2, 46, 2, 0], [0, 2, 46, 3, 280, 184, 364, 226, 232, 30, 38, 3, 0], [0, 2, 46, 4, 272, 212, 308, 296, 176, 58, 30, 4, 0], [0, 2, 46, 5, 264, 240, 252, 366, 120, 86, 22, 5, 0], [0, 2, 46, 6, 256, 268, 196, 436, 64, 114, 14, 6, 0], [0, 2, 46, 7, 248, 296, 140, 506, 8, 142, 6, 7, 0], [0, 2, 46, 8, 241, 316, 112, 520, 22, 114, 26, 0, 1], [0, 2, 47, 0, 269, 260, 182, 464, 50, 106, 27, 0, 1], [0, 3, 32, 77, 72, 534, 0, 450, 168, 23, 48, 1, 0], [0, 3, 33, 69, 100, 478, 70, 394, 196, 15, 49, 1, 0], [0, 3, 33, 70, 92, 506, 14, 464, 140, 43, 41, 2, 0], [0, 3, 34, 61, 128, 422, 140, 338, 224, 7, 50, 1, 0], [0, 3, 34, 62, 120, 450, 84, 408, 168, 35, 42, 2, 0], [0, 3, 34, 63, 112, 478, 28, 478, 112, 63, 34, 3, 0], [0, 3, 35, 54, 148, 394, 154, 352, 196, 27, 43, 2, 0], [0, 3, 35, 55, 140, 422, 98, 422, 140, 55, 35, 3, 0], [0, 3, 35, 56, 132, 450, 42, 492, 84, 83, 27, 4, 0], [0, 3, 36, 46, 176, 338, 224, 296, 224, 19, 44, 2, 0], [0, 3, 36, 47, 168, 366, 168, 366, 168, 47, 36, 3, 0], [0, 3, 36, 48, 160, 394, 112, 436, 112, 75, 28, 4, 0], [0, 3, 36, 49, 152, 422, 56, 506, 56, 103, 20, 5, 0], [0, 3, 36, 50, 144, 450, 0, 576, 0, 131, 12, 6, 0], [0, 3, 37, 38, 204, 282, 294, 240, 252, 11, 45, 2, 0], [0, 3, 37, 39, 196, 310, 238, 310, 196, 39, 37, 3, 0], [0, 3, 37, 40, 188, 338, 182, 380, 140, 67, 29, 4, 0], [0, 3, 37, 41, 180, 366, 126, 450, 84, 95, 21, 5, 0], [0, 3, 37, 42, 172, 394, 70, 520, 28, 123, 13, 6, 0], [0, 3, 38, 30, 232, 226, 364, 184, 280, 3, 46, 2, 0], [0, 3, 38, 31, 224, 254, 308, 254, 224, 31, 38, 3, 0], [0, 3, 38, 32, 216, 282, 252, 324, 168, 59, 30, 4, 0], [0, 3, 38, 33, 208, 310, 196, 394, 112, 87, 22, 5, 0], [0, 3, 38, 34, 200, 338, 140, 464, 56, 115, 14, 6, 0], [0, 3, 38, 35, 192, 366, 84, 534, 0, 143, 6, 7, 0], [0, 3, 38, 36, 185, 386, 56, 548, 14, 115, 26, 0, 1], [0, 3, 39, 23, 252, 198, 378, 198, 252, 23, 39, 3, 0], [0, 3, 39, 24, 244, 226, 322, 268, 196, 51, 31, 4, 0], [0, 3, 39, 25, 236, 254, 266, 338, 140, 79, 23, 5, 0], [0, 3, 39, 26, 228, 282, 210, 408, 84, 107, 15, 6, 0], [0, 3, 39, 27, 220, 310, 154, 478, 28, 135, 7, 7, 0], [0, 3, 39, 28, 213, 330, 126, 492, 42, 107, 27, 0, 1], [0, 3, 40, 15, 280, 142, 448, 142, 280, 15, 40, 3, 0], [0, 3, 40, 16, 272, 170, 392, 212, 224, 43, 32, 4, 0], [0, 3, 40, 17, 264, 198, 336, 282, 168, 71, 24, 5, 0], [0, 3, 40, 18, 256, 226, 280, 352, 112, 99, 16, 6, 0], [0, 3, 40, 19, 248, 254, 224, 422, 56, 127, 8, 7, 0], [0, 3, 40, 20, 240, 282, 168, 492, 0, 155, 0, 8, 0], [0, 3, 40, 20, 241, 274, 196, 436, 70, 99, 28, 0, 1], [0, 3, 40, 21, 233, 302, 140, 506, 14, 127, 20, 1, 1], [0, 3, 41, 7, 308, 86, 518, 86, 308, 7, 41, 3, 0], [0, 3, 41, 8, 300, 114, 462, 156, 252, 35, 33, 4, 0], [0, 3, 41, 9, 292, 142, 406, 226, 196, 63, 25, 5, 0], [0, 3, 41, 10, 284, 170, 350, 296, 140, 91, 17, 6, 0], [0, 3, 41, 11, 276, 198, 294, 366, 84, 119, 9, 7, 0], [0, 3, 41, 12, 268, 226, 238, 436, 28, 147, 1, 8, 0], [0, 3, 41, 12, 269, 218, 266, 380, 98, 91, 29, 0, 1], [0, 3, 41, 13, 261, 246, 210, 450, 42, 119, 21, 1, 1], [0, 3, 42, 0, 328, 58, 532, 100, 280, 27, 34, 4, 0], [0, 3, 42, 1, 320, 86, 476, 170, 224, 55, 26, 5, 0], [0, 3, 42, 2, 312, 114, 420, 240, 168, 83, 18, 6, 0], [0, 3, 42, 3, 304, 142, 364, 310, 112, 111, 10, 7, 0], [0, 3, 42, 4, 296, 170, 308, 380, 56, 139, 2, 8, 0], [0, 3, 42, 4, 297, 162, 336, 324, 126, 83, 30, 0, 1], [0, 3, 42, 5, 289, 190, 280, 394, 70, 111, 22, 1, 1], [0, 3, 42, 6, 281, 218, 224, 464, 14, 139, 14, 2, 1], [0, 4, 25, 97, 44, 548, 14, 422, 188, 16, 49, 1, 0], [0, 4, 26, 89, 72, 492, 84, 366, 216, 8, 50, 1, 0], [0, 4, 26, 90, 64, 520, 28, 436, 160, 36, 42, 2, 0], [0, 4, 27, 81, 100, 436, 154, 310, 244, 0, 51, 1, 0], [0, 4, 27, 82, 92, 464, 98, 380, 188, 28, 43, 2, 0], [0, 4, 27, 83, 84, 492, 42, 450, 132, 56, 35, 3, 0], [0, 4, 28, 74, 120, 408, 168, 324, 216, 20, 44, 2, 0], [0, 4, 28, 75, 112, 436, 112, 394, 160, 48, 36, 3, 0], [0, 4, 28, 76, 104, 464, 56, 464, 104, 76, 28, 4, 0], [0, 4, 28, 77, 96, 492, 0, 534, 48, 104, 20, 5, 0], [0, 4, 29, 66, 148, 352, 238, 268, 244, 12, 45, 2, 0], [0, 4, 29, 67, 140, 380, 182, 338, 188, 40, 37, 3, 0], [0, 4, 29, 68, 132, 408, 126, 408, 132, 68, 29, 4, 0], [0, 4, 29, 69, 124, 436, 70, 478, 76, 96, 21, 5, 0], [0, 4, 29, 70, 116, 464, 14, 548, 20, 124, 13, 6, 0], [0, 4, 30, 58, 176, 296, 308, 212, 272, 4, 46, 2, 0], [0, 4, 30, 59, 168, 324, 252, 282, 216, 32, 38, 3, 0], [0, 4, 30, 60, 160, 352, 196, 352, 160, 60, 30, 4, 0], [0, 4, 30, 61, 152, 380, 140, 422, 104, 88, 22, 5, 0], [0, 4, 30, 62, 144, 408, 84, 492, 48, 116, 14, 6, 0], [0, 4, 30, 64, 129, 456, 0, 576, 6, 116, 26, 0, 1], [0, 4, 31, 51, 196, 268, 322, 226, 244, 24, 39, 3, 0], [0, 4, 31, 52, 188, 296, 266, 296, 188, 52, 31, 4, 0], [0, 4, 31, 53, 180, 324, 210, 366, 132, 80, 23, 5, 0], [0, 4, 31, 54, 172, 352, 154, 436, 76, 108, 15, 6, 0], [0, 4, 31, 55, 164, 380, 98, 506, 20, 136, 7, 7, 0], [0, 4, 31, 56, 157, 400, 70, 520, 34, 108, 27, 0, 1], [0, 4, 32, 43, 224, 212, 392, 170, 272, 16, 40, 3, 0], [0, 4, 32, 44, 216, 240, 336, 240, 216, 44, 32, 4, 0], [0, 4, 32, 45, 208, 268, 280, 310, 160, 72, 24, 5, 0], [0, 4, 32, 46, 200, 296, 224, 380, 104, 100, 16, 6, 0], [0, 4, 32, 47, 192, 324, 168, 450, 48, 128, 8, 7, 0], [0, 4, 32, 48, 185, 344, 140, 464, 62, 100, 28, 0, 1], [0, 4, 32, 49, 177, 372, 84, 534, 6, 128, 20, 1, 1], [0, 4, 33, 35, 252, 156, 462, 114, 300, 8, 41, 3, 0], [0, 4, 33, 36, 244, 184, 406, 184, 244, 36, 33, 4, 0], [0, 4, 33, 37, 236, 212, 350, 254, 188, 64, 25, 5, 0], [0, 4, 33, 38, 228, 240, 294, 324, 132, 92, 17, 6, 0], [0, 4, 33, 39, 220, 268, 238, 394, 76, 120, 9, 7, 0], [0, 4, 33, 40, 212, 296, 182, 464, 20, 148, 1, 8, 0], [0, 4, 33, 40, 213, 288, 210, 408, 90, 92, 29, 0, 1], [0, 4, 33, 41, 205, 316, 154, 478, 34, 120, 21, 1, 1], [0, 4, 34, 27, 280, 100, 532, 58, 328, 0, 42, 3, 0], [0, 4, 34, 28, 272, 128, 476, 128, 272, 28, 34, 4, 0], [0, 4, 34, 29, 264, 156, 420, 198, 216, 56, 26, 5, 0], [0, 4, 34, 30, 256, 184, 364, 268, 160, 84, 18, 6, 0], [0, 4, 34, 31, 248, 212, 308, 338, 104, 112, 10, 7, 0], [0, 4, 34, 32, 240, 240, 252, 408, 48, 140, 2, 8, 0], [0, 4, 34, 32, 241, 232, 280, 352, 118, 84, 30, 0, 1], [0, 4, 34, 33, 233, 260, 224, 422, 62, 112, 22, 1, 1], [0, 4, 34, 34, 225, 288, 168, 492, 6, 140, 14, 2, 1], [0, 4, 35, 20, 300, 72, 546, 72, 300, 20, 35, 4, 0], [0, 4, 35, 21, 292, 100, 490, 142, 244, 48, 27, 5, 0], [0, 4, 35, 22, 284, 128, 434, 212, 188, 76, 19, 6, 0], [0, 4, 35, 23, 276, 156, 378, 282, 132, 104, 11, 7, 0], [0, 4, 35, 24, 268, 184, 322, 352, 76, 132, 3, 8, 0], [0, 4, 35, 24, 269, 176, 350, 296, 146, 76, 31, 0, 1], [0, 4, 35, 25, 261, 204, 294, 366, 90, 104, 23, 1, 1], [0, 4, 35, 26, 253, 232, 238, 436, 34, 132, 15, 2, 1], [0, 4, 36, 12, 328, 16, 616, 16, 328, 12, 36, 4, 0], [0, 4, 36, 13, 320, 44, 560, 86, 272, 40, 28, 5, 0], [0, 4, 36, 14, 312, 72, 504, 156, 216, 68, 20, 6, 0], [0, 4, 36, 15, 304, 100, 448, 226, 160, 96, 12, 7, 0], [0, 4, 36, 16, 296, 128, 392, 296, 104, 124, 4, 8, 0], [0, 4, 36, 16, 297, 120, 420, 240, 174, 68, 32, 0, 1], [0, 4, 36, 17, 289, 148, 364, 310, 118, 96, 24, 1, 1], [0, 4, 36, 18, 281, 176, 308, 380, 62, 124, 16, 2, 1], [0, 4, 36, 19, 273, 204, 252, 450, 6, 152, 8, 3, 1], [0, 4, 37, 6, 340, 16, 574, 100, 244, 60, 21, 6, 0], [0, 4, 37, 7, 332, 44, 518, 170, 188, 88, 13, 7, 0], [0, 4, 37, 8, 324, 72, 462, 240, 132, 116, 5, 8, 0], [0, 4, 37, 8, 325, 64, 490, 184, 202, 60, 33, 0, 1], [0, 4, 37, 9, 317, 92, 434, 254, 146, 88, 25, 1, 1], [0, 4, 37, 10, 309, 120, 378, 324, 90, 116, 17, 2, 1], [0, 4, 37, 11, 301, 148, 322, 394, 34, 144, 9, 3, 1], [0, 4, 38, 0, 352, 16, 532, 184, 160, 108, 6, 8, 0], [0, 4, 38, 0, 353, 8, 560, 128, 230, 52, 34, 0, 1], [0, 4, 38, 1, 345, 36, 504, 198, 174, 80, 26, 1, 1], [0, 4, 38, 2, 337, 64, 448, 268, 118, 108, 18, 2, 1], [0, 4, 38, 3, 329, 92, 392, 338, 62, 136, 10, 3, 1], [0, 4, 38, 4, 321, 120, 336, 408, 6, 164, 2, 4, 1], [0, 5, 18, 117, 16, 562, 28, 394, 208, 9, 50, 1, 0], [0, 5, 19, 109, 44, 506, 98, 338, 236, 1, 51, 1, 0], [0, 5, 19, 110, 36, 534, 42, 408, 180, 29, 43, 2, 0], [0, 5, 20, 102, 64, 478, 112, 352, 208, 21, 44, 2, 0], [0, 5, 20, 103, 56, 506, 56, 422, 152, 49, 36, 3, 0], [0, 5, 20, 104, 48, 534, 0, 492, 96, 77, 28, 4, 0], [0, 5, 21, 94, 92, 422, 182, 296, 236, 13, 45, 2, 0], [0, 5, 21, 95, 84, 450, 126, 366, 180, 41, 37, 3, 0], [0, 5, 21, 96, 76, 478, 70, 436, 124, 69, 29, 4, 0], [0, 5, 21, 97, 68, 506, 14, 506, 68, 97, 21, 5, 0], [0, 5, 22, 86, 120, 366, 252, 240, 264, 5, 46, 2, 0], [0, 5, 22, 87, 112, 394, 196, 310, 208, 33, 38, 3, 0], [0, 5, 22, 88, 104, 422, 140, 380, 152, 61, 30, 4, 0], [0, 5, 22, 89, 96, 450, 84, 450, 96, 89, 22, 5, 0], [0, 5, 22, 90, 88, 478, 28, 520, 40, 117, 14, 6, 0], [0, 5, 23, 79, 140, 338, 266, 254, 236, 25, 39, 3, 0], [0, 5, 23, 80, 132, 366, 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