-------
(11, 832, 6) Remaining distance distributions
(6, 832, 6) has 1 possible DDs: {[13, 78, 195, 260, 195, 78, 13]}
(7, 832, 6) has 14 possible DDs: {[0, 91, 0, 455, 0, 273, 0, 13], [1, 84, 21, 420, 35, 252, 7, 12], [2, 77, 42, 385, 70, 231, 14, 11], [3, 70, 63, 350, 105, 210, 21, 10], [4, 63, 84, 315, 140, 189, 28, 9], [5, 56, 105, 280, 175, 168, 35, 8], [6, 49, 126, 245, 210, 147, 42, 7], [7, 42, 147, 210, 245, 126, 49, 6], [8, 35, 168, 175, 280, 105, 56, 5], [9, 28, 189, 140, 315, 84, 63, 4], [10, 21, 210, 105, 350, 63, 70, 3], [11, 14, 231, 70, 385, 42, 77, 2], [12, 7, 252, 35, 420, 21, 84, 1], [13, 0, 273, 0, 455, 0, 91, 0]}
(8, 832, 6) has 48 possible DDs: {[0, 45, 49, 217, 245, 119, 147, 3, 7], [0, 46, 42, 238, 210, 154, 126, 10, 6], [0, 47, 35, 259, 175, 189, 105, 17, 5], [0, 48, 28, 280, 140, 224, 84, 24, 4], [0, 49, 21, 301, 105, 259, 63, 31, 3], [1, 38, 70, 182, 280, 98, 154, 2, 7], [1, 39, 63, 203, 245, 133, 133, 9, 6], [1, 40, 56, 224, 210, 168, 112, 16, 5], [1, 41, 49, 245, 175, 203, 91, 23, 4], [1, 42, 42, 266, 140, 238, 70, 30, 3], [1, 43, 35, 287, 105, 273, 49, 37, 2], [2, 31, 91, 147, 315, 77, 161, 1, 7], [2, 32, 84, 168, 280, 112, 140, 8, 6], [2, 33, 77, 189, 245, 147, 119, 15, 5], [2, 34, 70, 210, 210, 182, 98, 22, 4], [2, 35, 63, 231, 175, 217, 77, 29, 3], [2, 36, 56, 252, 140, 252, 56, 36, 2], [2, 37, 49, 273, 105, 287, 35, 43, 1], [3, 24, 112, 112, 350, 56, 168, 0, 7], [3, 25, 105, 133, 315, 91, 147, 7, 6], [3, 26, 98, 154, 280, 126, 126, 14, 5], [3, 27, 91, 175, 245, 161, 105, 21, 4], [3, 28, 84, 196, 210, 196, 84, 28, 3], [3, 29, 77, 217, 175, 231, 63, 35, 2], [3, 30, 70, 238, 140, 266, 42, 42, 1], [3, 31, 63, 259, 105, 301, 21, 49, 0], [4, 18, 126, 98, 350, 70, 154, 6, 6], [4, 19, 119, 119, 315, 105, 133, 13, 5], [4, 20, 112, 140, 280, 140, 112, 20, 4], [4, 21, 105, 161, 245, 175, 91, 27, 3], [4, 22, 98, 182, 210, 210, 70, 34, 2], [4, 23, 91, 203, 175, 245, 49, 41, 1], [4, 24, 84, 224, 140, 280, 28, 48, 0], [5, 12, 140, 84, 350, 84, 140, 12, 5], [5, 13, 133, 105, 315, 119, 119, 19, 4], [5, 14, 126, 126, 280, 154, 98, 26, 3], [5, 15, 119, 147, 245, 189, 77, 33, 2], [5, 16, 112, 168, 210, 224, 56, 40, 1], [5, 17, 105, 189, 175, 259, 35, 47, 0], [6, 6, 154, 70, 350, 98, 126, 18, 4], [6, 7, 147, 91, 315, 133, 105, 25, 3], [6, 8, 140, 112, 280, 168, 84, 32, 2], [6, 9, 133, 133, 245, 203, 63, 39, 1], [6, 10, 126, 154, 210, 238, 42, 46, 0], [7, 0, 168, 56, 350, 112, 112, 24, 3], [7, 1, 161, 77, 315, 147, 91, 31, 2], [7, 2, 154, 98, 280, 182, 70, 38, 1], [7, 3, 147, 119, 245, 217, 49, 45, 0]}
(9, 832, 6) has 106 possible DDs: {[0, 20, 64, 84, 308, 112, 168, 68, 4, 4], [0, 21, 57, 105, 273, 147, 147, 75, 3, 4], [0, 21, 58, 98, 294, 112, 182, 54, 10, 3], [0, 22, 50, 126, 238, 182, 126, 82, 2, 4], [0, 22, 51, 119, 259, 147, 161, 61, 9, 3], [0, 22, 52, 112, 280, 112, 196, 40, 16, 2], [0, 23, 43, 147, 203, 217, 105, 89, 1, 4], [0, 23, 44, 140, 224, 182, 140, 68, 8, 3], [0, 23, 45, 133, 245, 147, 175, 47, 15, 2], [0, 23, 46, 126, 266, 112, 210, 26, 22, 1], [0, 24, 36, 168, 168, 252, 84, 96, 0, 4], [0, 24, 37, 161, 189, 217, 119, 75, 7, 3], [0, 24, 38, 154, 210, 182, 154, 54, 14, 2], [0, 24, 39, 147, 231, 147, 189, 33, 21, 1], [0, 24, 40, 140, 252, 112, 224, 12, 28, 0], [0, 25, 30, 182, 154, 252, 98, 82, 6, 3], [0, 25, 31, 175, 175, 217, 133, 61, 13, 2], [0, 25, 32, 168, 196, 182, 168, 40, 20, 1], [0, 25, 33, 161, 217, 147, 203, 19, 27, 0], [0, 26, 24, 196, 140, 252, 112, 68, 12, 2], [0, 26, 25, 189, 161, 217, 147, 47, 19, 1], [0, 26, 26, 182, 182, 182, 182, 26, 26, 0], [0, 27, 18, 210, 126, 252, 126, 54, 18, 1], [0, 27, 19, 203, 147, 217, 161, 33, 25, 0], [0, 28, 12, 224, 112, 252, 140, 40, 24, 0], [1, 14, 78, 70, 308, 126, 154, 74, 3, 4], [1, 15, 71, 91, 273, 161, 133, 81, 2, 4], [1, 15, 72, 84, 294, 126, 168, 60, 9, 3], [1, 16, 64, 112, 238, 196, 112, 88, 1, 4], [1, 16, 65, 105, 259, 161, 147, 67, 8, 3], [1, 16, 66, 98, 280, 126, 182, 46, 15, 2], [1, 17, 57, 133, 203, 231, 91, 95, 0, 4], [1, 17, 58, 126, 224, 196, 126, 74, 7, 3], [1, 17, 59, 119, 245, 161, 161, 53, 14, 2], [1, 17, 60, 112, 266, 126, 196, 32, 21, 1], [1, 18, 51, 147, 189, 231, 105, 81, 6, 3], [1, 18, 52, 140, 210, 196, 140, 60, 13, 2], [1, 18, 53, 133, 231, 161, 175, 39, 20, 1], [1, 18, 54, 126, 252, 126, 210, 18, 27, 0], [1, 19, 44, 168, 154, 266, 84, 88, 5, 3], [1, 19, 45, 161, 175, 231, 119, 67, 12, 2], [1, 19, 46, 154, 196, 196, 154, 46, 19, 1], [1, 19, 47, 147, 217, 161, 189, 25, 26, 0], [1, 20, 38, 182, 140, 266, 98, 74, 11, 2], [1, 20, 39, 175, 161, 231, 133, 53, 18, 1], [1, 20, 40, 168, 182, 196, 168, 32, 25, 0], [1, 21, 32, 196, 126, 266, 112, 60, 17, 1], [1, 21, 33, 189, 147, 231, 147, 39, 24, 0], [1, 22, 26, 210, 112, 266, 126, 46, 23, 0], [2, 8, 92, 56, 308, 140, 140, 80, 2, 4], [2, 9, 85, 77, 273, 175, 119, 87, 1, 4], [2, 9, 86, 70, 294, 140, 154, 66, 8, 3], [2, 10, 78, 98, 238, 210, 98, 94, 0, 4], [2, 10, 79, 91, 259, 175, 133, 73, 7, 3], [2, 10, 80, 84, 280, 140, 168, 52, 14, 2], [2, 11, 72, 112, 224, 210, 112, 80, 6, 3], [2, 11, 73, 105, 245, 175, 147, 59, 13, 2], [2, 11, 74, 98, 266, 140, 182, 38, 20, 1], [2, 12, 65, 133, 189, 245, 91, 87, 5, 3], [2, 12, 66, 126, 210, 210, 126, 66, 12, 2], [2, 12, 67, 119, 231, 175, 161, 45, 19, 1], [2, 12, 68, 112, 252, 140, 196, 24, 26, 0], [2, 13, 58, 154, 154, 280, 70, 94, 4, 3], [2, 13, 59, 147, 175, 245, 105, 73, 11, 2], [2, 13, 60, 140, 196, 210, 140, 52, 18, 1], [2, 13, 61, 133, 217, 175, 175, 31, 25, 0], [2, 14, 52, 168, 140, 280, 84, 80, 10, 2], [2, 14, 53, 161, 161, 245, 119, 59, 17, 1], [2, 14, 54, 154, 182, 210, 154, 38, 24, 0], [2, 15, 46, 182, 126, 280, 98, 66, 16, 1], [2, 15, 47, 175, 147, 245, 133, 45, 23, 0], [2, 16, 40, 196, 112, 280, 112, 52, 22, 0], [3, 3, 99, 63, 273, 189, 105, 93, 0, 4], [3, 3, 100, 56, 294, 154, 140, 72, 7, 3], [3, 4, 93, 77, 259, 189, 119, 79, 6, 3], [3, 4, 94, 70, 280, 154, 154, 58, 13, 2], [3, 5, 86, 98, 224, 224, 98, 86, 5, 3], [3, 5, 87, 91, 245, 189, 133, 65, 12, 2], [3, 5, 88, 84, 266, 154, 168, 44, 19, 1], [3, 6, 79, 119, 189, 259, 77, 93, 4, 3], [3, 6, 80, 112, 210, 224, 112, 72, 11, 2], [3, 6, 81, 105, 231, 189, 147, 51, 18, 1], [3, 6, 82, 98, 252, 154, 182, 30, 25, 0], [3, 7, 72, 140, 154, 294, 56, 100, 3, 3], [3, 7, 73, 133, 175, 259, 91, 79, 10, 2], [3, 7, 74, 126, 196, 224, 126, 58, 17, 1], [3, 7, 75, 119, 217, 189, 161, 37, 24, 0], [3, 8, 66, 154, 140, 294, 70, 86, 9, 2], [3, 8, 67, 147, 161, 259, 105, 65, 16, 1], [3, 8, 68, 140, 182, 224, 140, 44, 23, 0], [3, 9, 60, 168, 126, 294, 84, 72, 15, 1], [3, 9, 61, 161, 147, 259, 119, 51, 22, 0], [3, 10, 54, 182, 112, 294, 98, 58, 21, 0], [4, 0, 93, 105, 189, 273, 63, 99, 3, 3], [4, 0, 94, 98, 210, 238, 98, 78, 10, 2], [4, 0, 95, 91, 231, 203, 133, 57, 17, 1], [4, 0, 96, 84, 252, 168, 168, 36, 24, 0], [4, 1, 87, 119, 175, 273, 77, 85, 9, 2], [4, 1, 88, 112, 196, 238, 112, 64, 16, 1], [4, 1, 89, 105, 217, 203, 147, 43, 23, 0], [4, 2, 80, 140, 140, 308, 56, 92, 8, 2], [4, 2, 81, 133, 161, 273, 91, 71, 15, 1], [4, 2, 82, 126, 182, 238, 126, 50, 22, 0], [4, 3, 74, 154, 126, 308, 70, 78, 14, 1], [4, 3, 75, 147, 147, 273, 105, 57, 21, 0], [4, 4, 68, 168, 112, 308, 84, 64, 20, 0]}
(10, 832, 6) has 317 possible DDs: {[0, 6, 65, 24, 238, 224, 84, 160, 26, 2, 3], [0, 7, 58, 45, 203, 259, 63, 167, 25, 2, 3], [0, 7, 59, 38, 224, 224, 98, 146, 32, 1, 3], [0, 7, 60, 31, 245, 189, 133, 125, 39, 0, 3], [0, 7, 60, 32, 238, 210, 98, 160, 18, 7, 2], [0, 7, 61, 25, 259, 175, 133, 139, 25, 6, 2], [0, 8, 51, 66, 168, 294, 42, 174, 24, 2, 3], [0, 8, 52, 59, 189, 259, 77, 153, 31, 1, 3], [0, 8, 53, 52, 210, 224, 112, 132, 38, 0, 3], [0, 8, 53, 53, 203, 245, 77, 167, 17, 7, 2], [0, 8, 54, 46, 224, 210, 112, 146, 24, 6, 2], [0, 8, 55, 39, 245, 175, 147, 125, 31, 5, 2], [0, 8, 55, 40, 238, 196, 112, 160, 10, 12, 1], [0, 8, 56, 32, 266, 140, 182, 104, 38, 4, 2], [0, 8, 56, 33, 259, 161, 147, 139, 17, 11, 1], [0, 8, 57, 26, 280, 126, 182, 118, 24, 10, 1], [0, 9, 45, 80, 154, 294, 56, 160, 30, 1, 3], [0, 9, 46, 73, 175, 259, 91, 139, 37, 0, 3], [0, 9, 46, 74, 168, 280, 56, 174, 16, 7, 2], [0, 9, 47, 67, 189, 245, 91, 153, 23, 6, 2], [0, 9, 48, 60, 210, 210, 126, 132, 30, 5, 2], [0, 9, 49, 53, 231, 175, 161, 111, 37, 4, 2], [0, 9, 49, 54, 224, 196, 126, 146, 16, 11, 1], [0, 9, 50, 46, 252, 140, 196, 90, 44, 3, 2], [0, 9, 50, 47, 245, 161, 161, 125, 23, 10, 1], [0, 9, 51, 40, 266, 126, 196, 104, 30, 9, 1], [0, 9, 51, 41, 259, 147, 161, 139, 9, 16, 0], [0, 9, 52, 34, 280, 112, 196, 118, 16, 15, 0], [0, 10, 39, 94, 140, 294, 70, 146, 36, 0, 3], [0, 10, 40, 88, 154, 280, 70, 160, 22, 6, 2], [0, 10, 41, 81, 175, 245, 105, 139, 29, 5, 2], [0, 10, 42, 74, 196, 210, 140, 118, 36, 4, 2], [0, 10, 42, 75, 189, 231, 105, 153, 15, 11, 1], [0, 10, 43, 67, 217, 175, 175, 97, 43, 3, 2], [0, 10, 43, 68, 210, 196, 140, 132, 22, 10, 1], [0, 10, 44, 60, 238, 140, 210, 76, 50, 2, 2], [0, 10, 44, 61, 231, 161, 175, 111, 29, 9, 1], [0, 10, 44, 62, 224, 182, 140, 146, 8, 16, 0], [0, 10, 45, 54, 252, 126, 210, 90, 36, 8, 1], [0, 10, 45, 55, 245, 147, 175, 125, 15, 15, 0], [0, 10, 46, 48, 266, 112, 210, 104, 22, 14, 0], [0, 11, 34, 102, 140, 280, 84, 146, 28, 5, 2], [0, 11, 35, 95, 161, 245, 119, 125, 35, 4, 2], [0, 11, 35, 96, 154, 266, 84, 160, 14, 11, 1], [0, 11, 36, 88, 182, 210, 154, 104, 42, 3, 2], [0, 11, 36, 89, 175, 231, 119, 139, 21, 10, 1], [0, 11, 37, 81, 203, 175, 189, 83, 49, 2, 2], [0, 11, 37, 82, 196, 196, 154, 118, 28, 9, 1], [0, 11, 37, 83, 189, 217, 119, 153, 7, 16, 0], [0, 11, 38, 74, 224, 140, 224, 62, 56, 1, 2], [0, 11, 38, 75, 217, 161, 189, 97, 35, 8, 1], [0, 11, 38, 76, 210, 182, 154, 132, 14, 15, 0], [0, 11, 39, 68, 238, 126, 224, 76, 42, 7, 1], [0, 11, 39, 69, 231, 147, 189, 111, 21, 14, 0], [0, 11, 40, 62, 252, 112, 224, 90, 28, 13, 0], [0, 12, 28, 116, 126, 280, 98, 132, 34, 4, 2], [0, 12, 29, 109, 147, 245, 133, 111, 41, 3, 2], [0, 12, 29, 110, 140, 266, 98, 146, 20, 10, 1], [0, 12, 30, 102, 168, 210, 168, 90, 48, 2, 2], [0, 12, 30, 103, 161, 231, 133, 125, 27, 9, 1], [0, 12, 30, 104, 154, 252, 98, 160, 6, 16, 0], [0, 12, 31, 95, 189, 175, 203, 69, 55, 1, 2], [0, 12, 31, 96, 182, 196, 168, 104, 34, 8, 1], [0, 12, 31, 97, 175, 217, 133, 139, 13, 15, 0], [0, 12, 32, 88, 210, 140, 238, 48, 62, 0, 2], [0, 12, 32, 89, 203, 161, 203, 83, 41, 7, 1], [0, 12, 32, 90, 196, 182, 168, 118, 20, 14, 0], [0, 12, 33, 82, 224, 126, 238, 62, 48, 6, 1], [0, 12, 33, 83, 217, 147, 203, 97, 27, 13, 0], [0, 12, 34, 76, 238, 112, 238, 76, 34, 12, 0], [0, 13, 22, 130, 112, 280, 112, 118, 40, 3, 2], [0, 13, 23, 123, 133, 245, 147, 97, 47, 2, 2], [0, 13, 23, 124, 126, 266, 112, 132, 26, 9, 1], [0, 13, 24, 116, 154, 210, 182, 76, 54, 1, 2], [0, 13, 24, 117, 147, 231, 147, 111, 33, 8, 1], [0, 13, 24, 118, 140, 252, 112, 146, 12, 15, 0], [0, 13, 25, 109, 175, 175, 217, 55, 61, 0, 2], [0, 13, 25, 110, 168, 196, 182, 90, 40, 7, 1], [0, 13, 25, 111, 161, 217, 147, 125, 19, 14, 0], [0, 13, 26, 103, 189, 161, 217, 69, 47, 6, 1], [0, 13, 26, 104, 182, 182, 182, 104, 26, 13, 0], [0, 13, 27, 96, 210, 126, 252, 48, 54, 5, 1], [0, 13, 27, 97, 203, 147, 217, 83, 33, 12, 0], [0, 13, 28, 90, 224, 112, 252, 62, 40, 11, 0], [0, 14, 16, 144, 98, 280, 126, 104, 46, 2, 2], [0, 14, 17, 137, 119, 245, 161, 83, 53, 1, 2], [0, 14, 17, 138, 112, 266, 126, 118, 32, 8, 1], [0, 14, 18, 130, 140, 210, 196, 62, 60, 0, 2], [0, 14, 18, 131, 133, 231, 161, 97, 39, 7, 1], [0, 14, 18, 132, 126, 252, 126, 132, 18, 14, 0], [0, 14, 19, 124, 154, 196, 196, 76, 46, 6, 1], [0, 14, 19, 125, 147, 217, 161, 111, 25, 13, 0], [0, 14, 20, 117, 175, 161, 231, 55, 53, 5, 1], [0, 14, 20, 118, 168, 182, 196, 90, 32, 12, 0], [0, 14, 21, 110, 196, 126, 266, 34, 60, 4, 1], [0, 14, 21, 111, 189, 147, 231, 69, 39, 11, 0], [0, 14, 22, 104, 210, 112, 266, 48, 46, 10, 0], [0, 15, 10, 158, 84, 280, 140, 90, 52, 1, 2], [0, 15, 11, 151, 105, 245, 175, 69, 59, 0, 2], [0, 15, 11, 152, 98, 266, 140, 104, 38, 7, 1], [0, 15, 12, 145, 119, 231, 175, 83, 45, 6, 1], [0, 15, 12, 146, 112, 252, 140, 118, 24, 13, 0], [0, 15, 13, 138, 140, 196, 210, 62, 52, 5, 1], [0, 15, 13, 139, 133, 217, 175, 97, 31, 12, 0], [0, 15, 14, 131, 161, 161, 245, 41, 59, 4, 1], [0, 15, 14, 132, 154, 182, 210, 76, 38, 11, 0], [0, 15, 15, 125, 175, 147, 245, 55, 45, 10, 0], [0, 15, 16, 118, 196, 112, 280, 34, 52, 9, 0], [0, 16, 6, 159, 105, 231, 189, 69, 51, 5, 1], [0, 16, 6, 160, 98, 252, 154, 104, 30, 12, 0], [0, 16, 7, 152, 126, 196, 224, 48, 58, 4, 1], [0, 16, 7, 153, 119, 217, 189, 83, 37, 11, 0], [0, 16, 8, 146, 140, 182, 224, 62, 44, 10, 0], [0, 16, 9, 139, 161, 147, 259, 41, 51, 9, 0], [1, 2, 66, 45, 189, 273, 63, 159, 30, 1, 3], [1, 2, 67, 38, 210, 238, 98, 138, 37, 0, 3], [1, 2, 68, 32, 224, 224, 98, 152, 23, 6, 2], [1, 2, 69, 25, 245, 189, 133, 131, 30, 5, 2], [1, 3, 60, 59, 175, 273, 77, 145, 36, 0, 3], [1, 3, 61, 53, 189, 259, 77, 159, 22, 6, 2], [1, 3, 62, 46, 210, 224, 112, 138, 29, 5, 2], [1, 3, 63, 39, 231, 189, 147, 117, 36, 4, 2], [1, 3, 63, 40, 224, 210, 112, 152, 15, 11, 1], [1, 3, 64, 32, 252, 154, 182, 96, 43, 3, 2], [1, 3, 64, 33, 245, 175, 147, 131, 22, 10, 1], [1, 3, 65, 26, 266, 140, 182, 110, 29, 9, 1], [1, 4, 53, 80, 140, 308, 56, 152, 35, 0, 3], [1, 4, 54, 74, 154, 294, 56, 166, 21, 6, 2], [1, 4, 55, 67, 175, 259, 91, 145, 28, 5, 2], [1, 4, 56, 60, 196, 224, 126, 124, 35, 4, 2], [1, 4, 56, 61, 189, 245, 91, 159, 14, 11, 1], [1, 4, 57, 53, 217, 189, 161, 103, 42, 3, 2], [1, 4, 57, 54, 210, 210, 126, 138, 21, 10, 1], [1, 4, 58, 46, 238, 154, 196, 82, 49, 2, 2], [1, 4, 58, 47, 231, 175, 161, 117, 28, 9, 1], [1, 4, 58, 48, 224, 196, 126, 152, 7, 16, 0], [1, 4, 59, 40, 252, 140, 196, 96, 35, 8, 1], [1, 4, 59, 41, 245, 161, 161, 131, 14, 15, 0], [1, 4, 60, 34, 266, 126, 196, 110, 21, 14, 0], [1, 5, 48, 88, 140, 294, 70, 152, 27, 5, 2], [1, 5, 49, 81, 161, 259, 105, 131, 34, 4, 2], [1, 5, 50, 74, 182, 224, 140, 110, 41, 3, 2], [1, 5, 50, 75, 175, 245, 105, 145, 20, 10, 1], [1, 5, 51, 67, 203, 189, 175, 89, 48, 2, 2], [1, 5, 51, 68, 196, 210, 140, 124, 27, 9, 1], [1, 5, 51, 69, 189, 231, 105, 159, 6, 16, 0], [1, 5, 52, 60, 224, 154, 210, 68, 55, 1, 2], [1, 5, 52, 61, 217, 175, 175, 103, 34, 8, 1], [1, 5, 52, 62, 210, 196, 140, 138, 13, 15, 0], [1, 5, 53, 54, 238, 140, 210, 82, 41, 7, 1], [1, 5, 53, 55, 231, 161, 175, 117, 20, 14, 0], [1, 5, 54, 48, 252, 126, 210, 96, 27, 13, 0], [1, 6, 42, 102, 126, 294, 84, 138, 33, 4, 2], [1, 6, 43, 95, 147, 259, 119, 117, 40, 3, 2], [1, 6, 43, 96, 140, 280, 84, 152, 19, 10, 1], [1, 6, 44, 88, 168, 224, 154, 96, 47, 2, 2], [1, 6, 44, 89, 161, 245, 119, 131, 26, 9, 1], [1, 6, 45, 81, 189, 189, 189, 75, 54, 1, 2], [1, 6, 45, 82, 182, 210, 154, 110, 33, 8, 1], [1, 6, 45, 83, 175, 231, 119, 145, 12, 15, 0], [1, 6, 46, 74, 210, 154, 224, 54, 61, 0, 2], [1, 6, 46, 75, 203, 175, 189, 89, 40, 7, 1], [1, 6, 46, 76, 196, 196, 154, 124, 19, 14, 0], [1, 6, 47, 68, 224, 140, 224, 68, 47, 6, 1], [1, 6, 47, 69, 217, 161, 189, 103, 26, 13, 0], [1, 6, 48, 62, 238, 126, 224, 82, 33, 12, 0], [1, 7, 36, 116, 112, 294, 98, 124, 39, 3, 2], [1, 7, 37, 109, 133, 259, 133, 103, 46, 2, 2], [1, 7, 37, 110, 126, 280, 98, 138, 25, 9, 1], [1, 7, 38, 102, 154, 224, 168, 82, 53, 1, 2], [1, 7, 38, 103, 147, 245, 133, 117, 32, 8, 1], [1, 7, 38, 104, 140, 266, 98, 152, 11, 15, 0], [1, 7, 39, 95, 175, 189, 203, 61, 60, 0, 2], [1, 7, 39, 96, 168, 210, 168, 96, 39, 7, 1], [1, 7, 39, 97, 161, 231, 133, 131, 18, 14, 0], [1, 7, 40, 89, 189, 175, 203, 75, 46, 6, 1], [1, 7, 40, 90, 182, 196, 168, 110, 25, 13, 0], [1, 7, 41, 82, 210, 140, 238, 54, 53, 5, 1], [1, 7, 41, 83, 203, 161, 203, 89, 32, 12, 0], [1, 7, 42, 76, 224, 126, 238, 68, 39, 11, 0], [1, 8, 30, 130, 98, 294, 112, 110, 45, 2, 2], [1, 8, 31, 123, 119, 259, 147, 89, 52, 1, 2], [1, 8, 31, 124, 112, 280, 112, 124, 31, 8, 1], [1, 8, 32, 116, 140, 224, 182, 68, 59, 0, 2], [1, 8, 32, 117, 133, 245, 147, 103, 38, 7, 1], [1, 8, 32, 118, 126, 266, 112, 138, 17, 14, 0], [1, 8, 33, 110, 154, 210, 182, 82, 45, 6, 1], [1, 8, 33, 111, 147, 231, 147, 117, 24, 13, 0], [1, 8, 34, 103, 175, 175, 217, 61, 52, 5, 1], [1, 8, 34, 104, 168, 196, 182, 96, 31, 12, 0], [1, 8, 35, 96, 196, 140, 252, 40, 59, 4, 1], [1, 8, 35, 97, 189, 161, 217, 75, 38, 11, 0], [1, 8, 36, 90, 210, 126, 252, 54, 45, 10, 0], [1, 9, 24, 144, 84, 294, 126, 96, 51, 1, 2], [1, 9, 25, 137, 105, 259, 161, 75, 58, 0, 2], [1, 9, 25, 138, 98, 280, 126, 110, 37, 7, 1], [1, 9, 26, 131, 119, 245, 161, 89, 44, 6, 1], [1, 9, 26, 132, 112, 266, 126, 124, 23, 13, 0], [1, 9, 27, 124, 140, 210, 196, 68, 51, 5, 1], [1, 9, 27, 125, 133, 231, 161, 103, 30, 12, 0], [1, 9, 28, 117, 161, 175, 231, 47, 58, 4, 1], [1, 9, 28, 118, 154, 196, 196, 82, 37, 11, 0], [1, 9, 29, 110, 182, 140, 266, 26, 65, 3, 1], [1, 9, 29, 111, 175, 161, 231, 61, 44, 10, 0], [1, 9, 30, 104, 196, 126, 266, 40, 51, 9, 0], [1, 10, 18, 158, 70, 294, 140, 82, 57, 0, 2], [1, 10, 19, 152, 84, 280, 140, 96, 43, 6, 1], [1, 10, 20, 145, 105, 245, 175, 75, 50, 5, 1], [1, 10, 20, 146, 98, 266, 140, 110, 29, 12, 0], [1, 10, 21, 138, 126, 210, 210, 54, 57, 4, 1], [1, 10, 21, 139, 119, 231, 175, 89, 36, 11, 0], [1, 10, 22, 131, 147, 175, 245, 33, 64, 3, 1], [1, 10, 22, 132, 140, 196, 210, 68, 43, 10, 0], [1, 10, 23, 125, 161, 161, 245, 47, 50, 9, 0], [1, 10, 24, 118, 182, 126, 280, 26, 57, 8, 0], [1, 11, 14, 159, 91, 245, 189, 61, 56, 4, 1], [1, 11, 14, 160, 84, 266, 154, 96, 35, 11, 0], [1, 11, 15, 152, 112, 210, 224, 40, 63, 3, 1], [1, 11, 15, 153, 105, 231, 189, 75, 42, 10, 0], [1, 11, 16, 146, 126, 196, 224, 54, 49, 9, 0], [1, 11, 17, 139, 147, 161, 259, 33, 56, 8, 0], [1, 12, 10, 160, 112, 196, 238, 40, 55, 8, 0], [2, 0, 56, 88, 126, 308, 70, 144, 32, 4, 2], [2, 0, 57, 81, 147, 273, 105, 123, 39, 3, 2], [2, 0, 57, 82, 140, 294, 70, 158, 18, 10, 1], [2, 0, 58, 74, 168, 238, 140, 102, 46, 2, 2], [2, 0, 58, 75, 161, 259, 105, 137, 25, 9, 1], [2, 0, 59, 67, 189, 203, 175, 81, 53, 1, 2], [2, 0, 59, 68, 182, 224, 140, 116, 32, 8, 1], [2, 0, 59, 69, 175, 245, 105, 151, 11, 15, 0], [2, 0, 60, 60, 210, 168, 210, 60, 60, 0, 2], [2, 0, 60, 61, 203, 189, 175, 95, 39, 7, 1], [2, 0, 60, 62, 196, 210, 140, 130, 18, 14, 0], [2, 0, 61, 54, 224, 154, 210, 74, 46, 6, 1], [2, 0, 61, 55, 217, 175, 175, 109, 25, 13, 0], [2, 0, 62, 48, 238, 140, 210, 88, 32, 12, 0], [2, 1, 50, 102, 112, 308, 84, 130, 38, 3, 2], [2, 1, 51, 95, 133, 273, 119, 109, 45, 2, 2], [2, 1, 51, 96, 126, 294, 84, 144, 24, 9, 1], [2, 1, 52, 88, 154, 238, 154, 88, 52, 1, 2], [2, 1, 52, 89, 147, 259, 119, 123, 31, 8, 1], [2, 1, 52, 90, 140, 280, 84, 158, 10, 15, 0], [2, 1, 53, 81, 175, 203, 189, 67, 59, 0, 2], [2, 1, 53, 82, 168, 224, 154, 102, 38, 7, 1], [2, 1, 53, 83, 161, 245, 119, 137, 17, 14, 0], [2, 1, 54, 75, 189, 189, 189, 81, 45, 6, 1], [2, 1, 54, 76, 182, 210, 154, 116, 24, 13, 0], [2, 1, 55, 68, 210, 154, 224, 60, 52, 5, 1], [2, 1, 55, 69, 203, 175, 189, 95, 31, 12, 0], [2, 1, 56, 62, 224, 140, 224, 74, 38, 11, 0], [2, 2, 44, 116, 98, 308, 98, 116, 44, 2, 2], [2, 2, 45, 109, 119, 273, 133, 95, 51, 1, 2], [2, 2, 45, 110, 112, 294, 98, 130, 30, 8, 1], [2, 2, 46, 102, 140, 238, 168, 74, 58, 0, 2], [2, 2, 46, 103, 133, 259, 133, 109, 37, 7, 1], [2, 2, 46, 104, 126, 280, 98, 144, 16, 14, 0], [2, 2, 47, 96, 154, 224, 168, 88, 44, 6, 1], [2, 2, 47, 97, 147, 245, 133, 123, 23, 13, 0], [2, 2, 48, 89, 175, 189, 203, 67, 51, 5, 1], [2, 2, 48, 90, 168, 210, 168, 102, 30, 12, 0], [2, 2, 49, 82, 196, 154, 238, 46, 58, 4, 1], [2, 2, 49, 83, 189, 175, 203, 81, 37, 11, 0], [2, 2, 50, 76, 210, 140, 238, 60, 44, 10, 0], [2, 3, 38, 130, 84, 308, 112, 102, 50, 1, 2], [2, 3, 39, 123, 105, 273, 147, 81, 57, 0, 2], [2, 3, 39, 124, 98, 294, 112, 116, 36, 7, 1], [2, 3, 40, 117, 119, 259, 147, 95, 43, 6, 1], [2, 3, 40, 118, 112, 280, 112, 130, 22, 13, 0], [2, 3, 41, 110, 140, 224, 182, 74, 50, 5, 1], [2, 3, 41, 111, 133, 245, 147, 109, 29, 12, 0], [2, 3, 42, 103, 161, 189, 217, 53, 57, 4, 1], [2, 3, 42, 104, 154, 210, 182, 88, 36, 11, 0], [2, 3, 43, 96, 182, 154, 252, 32, 64, 3, 1], [2, 3, 43, 97, 175, 175, 217, 67, 43, 10, 0], [2, 3, 44, 90, 196, 140, 252, 46, 50, 9, 0], [2, 4, 32, 144, 70, 308, 126, 88, 56, 0, 2], [2, 4, 33, 138, 84, 294, 126, 102, 42, 6, 1], [2, 4, 34, 131, 105, 259, 161, 81, 49, 5, 1], [2, 4, 34, 132, 98, 280, 126, 116, 28, 12, 0], [2, 4, 35, 124, 126, 224, 196, 60, 56, 4, 1], [2, 4, 35, 125, 119, 245, 161, 95, 35, 11, 0], [2, 4, 36, 117, 147, 189, 231, 39, 63, 3, 1], [2, 4, 36, 118, 140, 210, 196, 74, 42, 10, 0], [2, 4, 37, 111, 161, 175, 231, 53, 49, 9, 0], [2, 4, 38, 104, 182, 140, 266, 32, 56, 8, 0], [2, 5, 27, 152, 70, 294, 140, 88, 48, 5, 1], [2, 5, 28, 145, 91, 259, 175, 67, 55, 4, 1], [2, 5, 28, 146, 84, 280, 140, 102, 34, 11, 0], [2, 5, 29, 138, 112, 224, 210, 46, 62, 3, 1], [2, 5, 29, 139, 105, 245, 175, 81, 41, 10, 0], [2, 5, 30, 131, 133, 189, 245, 25, 69, 2, 1], [2, 5, 30, 132, 126, 210, 210, 60, 48, 9, 0], [2, 5, 31, 125, 147, 175, 245, 39, 55, 8, 0], [2, 6, 21, 166, 56, 294, 154, 74, 54, 4, 1], [2, 6, 22, 159, 77, 259, 189, 53, 61, 3, 1], [2, 6, 22, 160, 70, 280, 154, 88, 40, 10, 0], [2, 6, 23, 152, 98, 224, 224, 32, 68, 2, 1], [2, 6, 23, 153, 91, 245, 189, 67, 47, 9, 0], [2, 6, 24, 146, 112, 210, 224, 46, 54, 8, 0], [2, 6, 25, 139, 133, 175, 259, 25, 61, 7, 0], [2, 7, 16, 174, 56, 280, 168, 74, 46, 9, 0], [2, 7, 17, 167, 77, 245, 203, 53, 53, 8, 0], [2, 7, 18, 160, 98, 210, 238, 32, 60, 7, 0], [3, 0, 35, 152, 56, 308, 140, 80, 53, 4, 1], [3, 0, 36, 145, 77, 273, 175, 59, 60, 3, 1], [3, 0, 36, 146, 70, 294, 140, 94, 39, 10, 0], [3, 0, 37, 138, 98, 238, 210, 38, 67, 2, 1], [3, 0, 37, 139, 91, 259, 175, 73, 46, 9, 0], [3, 0, 38, 132, 112, 224, 210, 52, 53, 8, 0], [3, 0, 39, 125, 133, 189, 245, 31, 60, 7, 0], [3, 1, 30, 159, 63, 273, 189, 45, 66, 2, 1], [3, 1, 30, 160, 56, 294, 154, 80, 45, 9, 0], [3, 1, 31, 153, 77, 259, 189, 59, 52, 8, 0], [3, 1, 32, 146, 98, 224, 224, 38, 59, 7, 0], [3, 2, 24, 174, 42, 294, 168, 66, 51, 8, 0], [3, 2, 25, 167, 63, 259, 203, 45, 58, 7, 0], [3, 2, 26, 160, 84, 224, 238, 24, 65, 6, 0]}
(11, 832, 6) has 1100 possible DDs: {[0, 0, 52, 12, 148, 266, 84, 178, 68, 22, 0, 2], [0, 1, 44, 38, 106, 294, 98, 136, 102, 9, 2, 2], [0, 1, 44, 39, 99, 315, 63, 171, 81, 16, 1, 2], [0, 1, 45, 31, 127, 259, 133, 115, 109, 8, 2, 2], [0, 1, 45, 32, 120, 280, 98, 150, 88, 15, 1, 2], [0, 1, 45, 33, 113, 301, 63, 185, 67, 22, 0, 2], [0, 1, 46, 24, 148, 224, 168, 94, 116, 7, 2, 2], [0, 1, 46, 25, 141, 245, 133, 129, 95, 14, 1, 2], [0, 1, 46, 26, 134, 266, 98, 164, 74, 21, 0, 2], [0, 1, 47, 18, 162, 210, 168, 108, 102, 13, 1, 2], [0, 1, 47, 19, 155, 231, 133, 143, 81, 20, 0, 2], [0, 1, 47, 20, 149, 245, 119, 143, 95, 6, 6, 1], [0, 1, 47, 21, 142, 266, 84, 178, 74, 13, 5, 1], [0, 1, 48, 12, 176, 196, 168, 122, 88, 19, 0, 2], [0, 1, 48, 13, 170, 210, 154, 122, 102, 5, 6, 1], [0, 1, 48, 14, 163, 231, 119, 157, 81, 12, 5, 1], [0, 1, 48, 15, 156, 252, 84, 192, 60, 19, 4, 1], [0, 2, 37, 59, 71, 329, 77, 143, 101, 9, 2, 2], [0, 2, 38, 52, 92, 294, 112, 122, 108, 8, 2, 2], [0, 2, 38, 53, 85, 315, 77, 157, 87, 15, 1, 2], [0, 2, 39, 45, 113, 259, 147, 101, 115, 7, 2, 2], [0, 2, 39, 46, 106, 280, 112, 136, 94, 14, 1, 2], [0, 2, 39, 47, 99, 301, 77, 171, 73, 21, 0, 2], [0, 2, 39, 48, 93, 315, 63, 171, 87, 7, 6, 1], [0, 2, 40, 38, 134, 224, 182, 80, 122, 6, 2, 2], [0, 2, 40, 39, 127, 245, 147, 115, 101, 13, 1, 2], [0, 2, 40, 40, 120, 266, 112, 150, 80, 20, 0, 2], [0, 2, 40, 41, 114, 280, 98, 150, 94, 6, 6, 1], [0, 2, 40, 42, 107, 301, 63, 185, 73, 13, 5, 1], [0, 2, 41, 32, 148, 210, 182, 94, 108, 12, 1, 2], [0, 2, 41, 33, 141, 231, 147, 129, 87, 19, 0, 2], [0, 2, 41, 34, 135, 245, 133, 129, 101, 5, 6, 1], [0, 2, 41, 35, 128, 266, 98, 164, 80, 12, 5, 1], [0, 2, 41, 36, 121, 287, 63, 199, 59, 19, 4, 1], [0, 2, 42, 25, 169, 175, 217, 73, 115, 11, 1, 2], [0, 2, 42, 26, 162, 196, 182, 108, 94, 18, 0, 2], [0, 2, 42, 27, 156, 210, 168, 108, 108, 4, 6, 1], [0, 2, 42, 28, 149, 231, 133, 143, 87, 11, 5, 1], [0, 2, 42, 29, 142, 252, 98, 178, 66, 18, 4, 1], [0, 2, 42, 30, 135, 273, 63, 213, 45, 25, 3, 1], [0, 2, 42, 30, 136, 266, 84, 178, 80, 4, 10, 0], [0, 2, 42, 31, 129, 287, 49, 213, 59, 11, 9, 0], [0, 2, 43, 18, 190, 140, 252, 52, 122, 10, 1, 2], [0, 2, 43, 19, 183, 161, 217, 87, 101, 17, 0, 2], [0, 2, 43, 21, 170, 196, 168, 122, 94, 10, 5, 1], [0, 2, 43, 22, 163, 217, 133, 157, 73, 17, 4, 1], [0, 2, 43, 23, 156, 238, 98, 192, 52, 24, 3, 1], [0, 2, 43, 23, 157, 231, 119, 157, 87, 3, 10, 0], [0, 2, 43, 24, 150, 252, 84, 192, 66, 10, 9, 0], [0, 2, 44, 12, 204, 126, 252, 66, 108, 16, 0, 2], [0, 2, 44, 15, 184, 182, 168, 136, 80, 16, 4, 1], [0, 2, 44, 16, 177, 203, 133, 171, 59, 23, 3, 1], [0, 2, 44, 16, 178, 196, 154, 136, 94, 2, 10, 0], [0, 2, 44, 17, 170, 224, 98, 206, 38, 30, 2, 1], [0, 2, 44, 17, 171, 217, 119, 171, 73, 9, 9, 0], [0, 2, 44, 18, 164, 238, 84, 206, 52, 16, 8, 0], [0, 2, 45, 9, 198, 168, 168, 150, 66, 22, 3, 1], [0, 2, 45, 10, 191, 189, 133, 185, 45, 29, 2, 1], [0, 2, 45, 10, 192, 182, 154, 150, 80, 8, 9, 0], [0, 2, 45, 11, 185, 203, 119, 185, 59, 15, 8, 0], [0, 3, 31, 73, 57, 329, 91, 129, 107, 8, 2, 2], [0, 3, 31, 74, 50, 350, 56, 164, 86, 15, 1, 2], [0, 3, 32, 66, 78, 294, 126, 108, 114, 7, 2, 2], [0, 3, 32, 67, 71, 315, 91, 143, 93, 14, 1, 2], [0, 3, 32, 68, 64, 336, 56, 178, 72, 21, 0, 2], [0, 3, 33, 59, 99, 259, 161, 87, 121, 6, 2, 2], [0, 3, 33, 60, 92, 280, 126, 122, 100, 13, 1, 2], [0, 3, 33, 61, 85, 301, 91, 157, 79, 20, 0, 2], [0, 3, 33, 62, 79, 315, 77, 157, 93, 6, 6, 1], [0, 3, 33, 63, 72, 336, 42, 192, 72, 13, 5, 1], [0, 3, 34, 53, 113, 245, 161, 101, 107, 12, 1, 2], [0, 3, 34, 54, 106, 266, 126, 136, 86, 19, 0, 2], [0, 3, 34, 55, 100, 280, 112, 136, 100, 5, 6, 1], [0, 3, 34, 56, 93, 301, 77, 171, 79, 12, 5, 1], [0, 3, 35, 46, 134, 210, 196, 80, 114, 11, 1, 2], [0, 3, 35, 47, 127, 231, 161, 115, 93, 18, 0, 2], [0, 3, 35, 48, 121, 245, 147, 115, 107, 4, 6, 1], [0, 3, 35, 49, 114, 266, 112, 150, 86, 11, 5, 1], [0, 3, 35, 50, 107, 287, 77, 185, 65, 18, 4, 1], [0, 3, 35, 51, 100, 308, 42, 220, 44, 25, 3, 1], [0, 3, 35, 51, 101, 301, 63, 185, 79, 4, 10, 0], [0, 3, 36, 39, 155, 175, 231, 59, 121, 10, 1, 2], [0, 3, 36, 40, 148, 196, 196, 94, 100, 17, 0, 2], [0, 3, 36, 41, 142, 210, 182, 94, 114, 3, 6, 1], [0, 3, 36, 42, 135, 231, 147, 129, 93, 10, 5, 1], [0, 3, 36, 43, 128, 252, 112, 164, 72, 17, 4, 1], [0, 3, 36, 44, 121, 273, 77, 199, 51, 24, 3, 1], [0, 3, 36, 44, 122, 266, 98, 164, 86, 3, 10, 0], [0, 3, 36, 45, 115, 287, 63, 199, 65, 10, 9, 0], [0, 3, 37, 33, 169, 161, 231, 73, 107, 16, 0, 2], [0, 3, 37, 35, 156, 196, 182, 108, 100, 9, 5, 1], [0, 3, 37, 36, 149, 217, 147, 143, 79, 16, 4, 1], [0, 3, 37, 37, 142, 238, 112, 178, 58, 23, 3, 1], [0, 3, 37, 37, 143, 231, 133, 143, 93, 2, 10, 0], [0, 3, 37, 38, 135, 259, 77, 213, 37, 30, 2, 1], [0, 3, 37, 38, 136, 252, 98, 178, 72, 9, 9, 0], [0, 3, 37, 39, 129, 273, 63, 213, 51, 16, 8, 0], [0, 3, 38, 26, 190, 126, 266, 52, 114, 15, 0, 2], [0, 3, 38, 28, 177, 161, 217, 87, 107, 8, 5, 1], [0, 3, 38, 29, 170, 182, 182, 122, 86, 15, 4, 1], [0, 3, 38, 30, 163, 203, 147, 157, 65, 22, 3, 1], [0, 3, 38, 30, 164, 196, 168, 122, 100, 1, 10, 0], [0, 3, 38, 31, 156, 224, 112, 192, 44, 29, 2, 1], [0, 3, 38, 31, 157, 217, 133, 157, 79, 8, 9, 0], [0, 3, 38, 32, 150, 238, 98, 192, 58, 15, 8, 0], [0, 3, 38, 33, 143, 259, 63, 227, 37, 22, 7, 0], [0, 3, 39, 22, 191, 147, 217, 101, 93, 14, 4, 1], [0, 3, 39, 23, 184, 168, 182, 136, 72, 21, 3, 1], [0, 3, 39, 24, 177, 189, 147, 171, 51, 28, 2, 1], [0, 3, 39, 24, 178, 182, 168, 136, 86, 7, 9, 0], [0, 3, 39, 25, 170, 210, 112, 206, 30, 35, 1, 1], [0, 3, 39, 25, 171, 203, 133, 171, 65, 14, 8, 0], [0, 3, 39, 26, 164, 224, 98, 206, 44, 21, 7, 0], [0, 3, 40, 15, 212, 112, 252, 80, 100, 13, 4, 1], [0, 3, 40, 16, 205, 133, 217, 115, 79, 20, 3, 1], [0, 3, 40, 17, 198, 154, 182, 150, 58, 27, 2, 1], [0, 3, 40, 17, 199, 147, 203, 115, 93, 6, 9, 0], [0, 3, 40, 18, 191, 175, 147, 185, 37, 34, 1, 1], [0, 3, 40, 18, 192, 168, 168, 150, 72, 13, 8, 0], [0, 3, 40, 19, 185, 189, 133, 185, 51, 20, 7, 0], [0, 3, 40, 20, 178, 210, 98, 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