-------
(11, 832, 6) Remaining distance distributions for INTERNAL point
(6, 832, 6) has 1 possible DDs: {[13, 78, 195, 260, 195, 78, 13]}
(7, 832, 6) has 13 possible DDs: {[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 43 possible DDs: {[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 81 possible DDs: {[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 203 possible DDs: {[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 503 possible DDs: {[1, 0, 29, 88, 50, 294, 154, 86, 117, 10, 1, 2], [1, 0, 29, 89, 43, 315, 119, 121, 96, 17, 0, 2], [1, 0, 30, 82, 64, 280, 154, 100, 103, 16, 0, 2], [1, 0, 30, 84, 51, 315, 105, 135, 96, 9, 5, 1], [1, 0, 31, 75, 85, 245, 189, 79, 110, 15, 0, 2], [1, 0, 31, 77, 72, 280, 140, 114, 103, 8, 5, 1], [1, 0, 31, 78, 65, 301, 105, 149, 82, 15, 4, 1], [1, 0, 31, 79, 58, 322, 70, 184, 61, 22, 3, 1], [1, 0, 32, 68, 106, 210, 224, 58, 117, 14, 0, 2], [1, 0, 32, 70, 93, 245, 175, 93, 110, 7, 5, 1], [1, 0, 32, 71, 86, 266, 140, 128, 89, 14, 4, 1], [1, 0, 32, 72, 79, 287, 105, 163, 68, 21, 3, 1], [1, 0, 32, 73, 72, 308, 70, 198, 47, 28, 2, 1], [1, 0, 32, 73, 73, 301, 91, 163, 82, 7, 9, 0], [1, 0, 32, 74, 66, 322, 56, 198, 61, 14, 8, 0], [1, 0, 33, 61, 127, 175, 259, 37, 124, 13, 0, 2], [1, 0, 33, 63, 114, 210, 210, 72, 117, 6, 5, 1], [1, 0, 33, 64, 107, 231, 175, 107, 96, 13, 4, 1], [1, 0, 33, 65, 100, 252, 140, 142, 75, 20, 3, 1], [1, 0, 33, 66, 93, 273, 105, 177, 54, 27, 2, 1], [1, 0, 33, 66, 94, 266, 126, 142, 89, 6, 9, 0], [1, 0, 33, 67, 86, 294, 70, 212, 33, 34, 1, 1], [1, 0, 33, 67, 87, 287, 91, 177, 68, 13, 8, 0], [1, 0, 33, 68, 80, 308, 56, 212, 47, 20, 7, 0], [1, 0, 34, 57, 128, 196, 210, 86, 103, 12, 4, 1], [1, 0, 34, 58, 121, 217, 175, 121, 82, 19, 3, 1], [1, 0, 34, 59, 114, 238, 140, 156, 61, 26, 2, 1], [1, 0, 34, 59, 115, 231, 161, 121, 96, 5, 9, 0], [1, 0, 34, 60, 107, 259, 105, 191, 40, 33, 1, 1], [1, 0, 34, 60, 108, 252, 126, 156, 75, 12, 8, 0], [1, 0, 34, 61, 101, 273, 91, 191, 54, 19, 7, 0], [1, 0, 34, 62, 94, 294, 56, 226, 33, 26, 6, 0], [1, 0, 35, 50, 149, 161, 245, 65, 110, 11, 4, 1], [1, 0, 35, 51, 142, 182, 210, 100, 89, 18, 3, 1], [1, 0, 35, 52, 135, 203, 175, 135, 68, 25, 2, 1], [1, 0, 35, 52, 136, 196, 196, 100, 103, 4, 9, 0], [1, 0, 35, 53, 128, 224, 140, 170, 47, 32, 1, 1], [1, 0, 35, 53, 129, 217, 161, 135, 82, 11, 8, 0], [1, 0, 35, 54, 121, 245, 105, 205, 26, 39, 0, 1], [1, 0, 35, 54, 122, 238, 126, 170, 61, 18, 7, 0], [1, 0, 35, 55, 115, 259, 91, 205, 40, 25, 6, 0], [1, 0, 36, 44, 163, 147, 245, 79, 96, 17, 3, 1], [1, 0, 36, 45, 156, 168, 210, 114, 75, 24, 2, 1], [1, 0, 36, 45, 157, 161, 231, 79, 110, 3, 9, 0], [1, 0, 36, 46, 149, 189, 175, 149, 54, 31, 1, 1], [1, 0, 36, 46, 150, 182, 196, 114, 89, 10, 8, 0], [1, 0, 36, 47, 142, 210, 140, 184, 33, 38, 0, 1], [1, 0, 36, 47, 143, 203, 161, 149, 68, 17, 7, 0], [1, 0, 36, 48, 136, 224, 126, 184, 47, 24, 6, 0], [1, 0, 36, 49, 129, 245, 91, 219, 26, 31, 5, 0], [1, 0, 37, 37, 184, 112, 280, 58, 103, 16, 3, 1], [1, 0, 37, 38, 177, 133, 245, 93, 82, 23, 2, 1], [1, 0, 37, 39, 170, 154, 210, 128, 61, 30, 1, 1], [1, 0, 37, 39, 171, 147, 231, 93, 96, 9, 8, 0], [1, 0, 37, 40, 163, 175, 175, 163, 40, 37, 0, 1], [1, 0, 37, 40, 164, 168, 196, 128, 75, 16, 7, 0], [1, 0, 37, 41, 157, 189, 161, 163, 54, 23, 6, 0], [1, 0, 37, 42, 150, 210, 126, 198, 33, 30, 5, 0], [1, 0, 38, 31, 198, 98, 280, 72, 89, 22, 2, 1], [1, 0, 38, 32, 191, 119, 245, 107, 68, 29, 1, 1], [1, 0, 38, 32, 192, 112, 266, 72, 103, 8, 8, 0], [1, 0, 38, 33, 184, 140, 210, 142, 47, 36, 0, 1], [1, 0, 38, 33, 185, 133, 231, 107, 82, 15, 7, 0], [1, 0, 38, 34, 178, 154, 196, 142, 61, 22, 6, 0], [1, 0, 38, 35, 171, 175, 161, 177, 40, 29, 5, 0], [1, 0, 38, 36, 164, 196, 126, 212, 19, 36, 4, 0], [1, 0, 39, 25, 212, 84, 280, 86, 75, 28, 1, 1], [1, 0, 39, 26, 205, 105, 245, 121, 54, 35, 0, 1], [1, 0, 39, 26, 206, 98, 266, 86, 89, 14, 7, 0], [1, 0, 39, 27, 199, 119, 231, 121, 68, 21, 6, 0], [1, 0, 39, 28, 192, 140, 196, 156, 47, 28, 5, 0], [1, 0, 39, 29, 185, 161, 161, 191, 26, 35, 4, 0], [1, 0, 40, 21, 213, 105, 231, 135, 54, 27, 5, 0], [1, 0, 40, 22, 206, 126, 196, 170, 33, 34, 4, 0], [1, 1, 24, 96, 50, 280, 168, 86, 109, 15, 0, 2], [1, 1, 24, 98, 37, 315, 119, 121, 102, 8, 5, 1], [1, 1, 25, 89, 71, 245, 203, 65, 116, 14, 0, 2], [1, 1, 25, 91, 58, 280, 154, 100, 109, 7, 5, 1], [1, 1, 25, 92, 51, 301, 119, 135, 88, 14, 4, 1], [1, 1, 25, 93, 44, 322, 84, 170, 67, 21, 3, 1], [1, 1, 26, 82, 92, 210, 238, 44, 123, 13, 0, 2], [1, 1, 26, 84, 79, 245, 189, 79, 116, 6, 5, 1], [1, 1, 26, 85, 72, 266, 154, 114, 95, 13, 4, 1], [1, 1, 26, 86, 65, 287, 119, 149, 74, 20, 3, 1], [1, 1, 26, 87, 58, 308, 84, 184, 53, 27, 2, 1], [1, 1, 26, 87, 59, 301, 105, 149, 88, 6, 9, 0], [1, 1, 26, 88, 52, 322, 70, 184, 67, 13, 8, 0], [1, 1, 27, 78, 93, 231, 189, 93, 102, 12, 4, 1], [1, 1, 27, 79, 86, 252, 154, 128, 81, 19, 3, 1], [1, 1, 27, 80, 79, 273, 119, 163, 60, 26, 2, 1], [1, 1, 27, 80, 80, 266, 140, 128, 95, 5, 9, 0], [1, 1, 27, 81, 72, 294, 84, 198, 39, 33, 1, 1], [1, 1, 27, 81, 73, 287, 105, 163, 74, 12, 8, 0], [1, 1, 27, 82, 66, 308, 70, 198, 53, 19, 7, 0], [1, 1, 28, 71, 114, 196, 224, 72, 109, 11, 4, 1], [1, 1, 28, 72, 107, 217, 189, 107, 88, 18, 3, 1], [1, 1, 28, 73, 100, 238, 154, 142, 67, 25, 2, 1], [1, 1, 28, 73, 101, 231, 175, 107, 102, 4, 9, 0], [1, 1, 28, 74, 93, 259, 119, 177, 46, 32, 1, 1], [1, 1, 28, 74, 94, 252, 140, 142, 81, 11, 8, 0], [1, 1, 28, 75, 86, 280, 84, 212, 25, 39, 0, 1], [1, 1, 28, 75, 87, 273, 105, 177, 60, 18, 7, 0], [1, 1, 28, 76, 80, 294, 70, 212, 39, 25, 6, 0], [1, 1, 29, 64, 135, 161, 259, 51, 116, 10, 4, 1], [1, 1, 29, 65, 128, 182, 224, 86, 95, 17, 3, 1], [1, 1, 29, 66, 121, 203, 189, 121, 74, 24, 2, 1], [1, 1, 29, 66, 122, 196, 210, 86, 109, 3, 9, 0], [1, 1, 29, 67, 114, 224, 154, 156, 53, 31, 1, 1], [1, 1, 29, 67, 115, 217, 175, 121, 88, 10, 8, 0], [1, 1, 29, 68, 107, 245, 119, 191, 32, 38, 0, 1], [1, 1, 29, 68, 108, 238, 140, 156, 67, 17, 7, 0], [1, 1, 29, 69, 101, 259, 105, 191, 46, 24, 6, 0], [1, 1, 29, 70, 94, 280, 70, 226, 25, 31, 5, 0], [1, 1, 30, 58, 149, 147, 259, 65, 102, 16, 3, 1], [1, 1, 30, 59, 142, 168, 224, 100, 81, 23, 2, 1], [1, 1, 30, 60, 135, 189, 189, 135, 60, 30, 1, 1], [1, 1, 30, 60, 136, 182, 210, 100, 95, 9, 8, 0], [1, 1, 30, 61, 128, 210, 154, 170, 39, 37, 0, 1], [1, 1, 30, 61, 129, 203, 175, 135, 74, 16, 7, 0], [1, 1, 30, 62, 122, 224, 140, 170, 53, 23, 6, 0], [1, 1, 30, 63, 115, 245, 105, 205, 32, 30, 5, 0], [1, 1, 31, 51, 170, 112, 294, 44, 109, 15, 3, 1], [1, 1, 31, 52, 163, 133, 259, 79, 88, 22, 2, 1], [1, 1, 31, 53, 156, 154, 224, 114, 67, 29, 1, 1], [1, 1, 31, 53, 157, 147, 245, 79, 102, 8, 8, 0], [1, 1, 31, 54, 149, 175, 189, 149, 46, 36, 0, 1], [1, 1, 31, 54, 150, 168, 210, 114, 81, 15, 7, 0], [1, 1, 31, 55, 143, 189, 175, 149, 60, 22, 6, 0], [1, 1, 31, 56, 136, 210, 140, 184, 39, 29, 5, 0], [1, 1, 31, 57, 129, 231, 105, 219, 18, 36, 4, 0], [1, 1, 32, 45, 184, 98, 294, 58, 95, 21, 2, 1], [1, 1, 32, 46, 177, 119, 259, 93, 74, 28, 1, 1], [1, 1, 32, 46, 178, 112, 280, 58, 109, 7, 8, 0], [1, 1, 32, 47, 170, 140, 224, 128, 53, 35, 0, 1], [1, 1, 32, 47, 171, 133, 245, 93, 88, 14, 7, 0], [1, 1, 32, 48, 164, 154, 210, 128, 67, 21, 6, 0], [1, 1, 32, 49, 157, 175, 175, 163, 46, 28, 5, 0], [1, 1, 32, 50, 150, 196, 140, 198, 25, 35, 4, 0], [1, 1, 33, 39, 198, 84, 294, 72, 81, 27, 1, 1], [1, 1, 33, 40, 191, 105, 259, 107, 60, 34, 0, 1], [1, 1, 33, 40, 192, 98, 280, 72, 95, 13, 7, 0], [1, 1, 33, 41, 185, 119, 245, 107, 74, 20, 6, 0], [1, 1, 33, 42, 178, 140, 210, 142, 53, 27, 5, 0], [1, 1, 33, 43, 171, 161, 175, 177, 32, 34, 4, 0], [1, 1, 33, 44, 164, 182, 140, 212, 11, 41, 3, 0], [1, 1, 34, 33, 212, 70, 294, 86, 67, 33, 0, 1], [1, 1, 34, 34, 206, 84, 280, 86, 81, 19, 6, 0], [1, 1, 34, 35, 199, 105, 245, 121, 60, 26, 5, 0], [1, 1, 34, 36, 192, 126, 210, 156, 39, 33, 4, 0], [1, 1, 34, 37, 185, 147, 175, 191, 18, 40, 3, 0], [1, 1, 35, 28, 220, 70, 280, 100, 67, 25, 5, 0], [1, 1, 35, 29, 213, 91, 245, 135, 46, 32, 4, 0], [1, 1, 35, 30, 206, 112, 210, 170, 25, 39, 3, 0], [1, 2, 18, 110, 36, 280, 182, 72, 115, 14, 0, 2], [1, 2, 19, 103, 57, 245, 217, 51, 122, 13, 0, 2], [1, 2, 19, 106, 37, 301, 133, 121, 94, 13, 4, 1], [1, 2, 19, 107, 30, 322, 98, 156, 73, 20, 3, 1], [1, 2, 20, 99, 58, 266, 168, 100, 101, 12, 4, 1], [1, 2, 20, 100, 51, 287, 133, 135, 80, 19, 3, 1], [1, 2, 20, 101, 44, 308, 98, 170, 59, 26, 2, 1], [1, 2, 20, 101, 45, 301, 119, 135, 94, 5, 9, 0], [1, 2, 20, 102, 38, 322, 84, 170, 73, 12, 8, 0], [1, 2, 21, 92, 79, 231, 203, 79, 108, 11, 4, 1], [1, 2, 21, 93, 72, 252, 168, 114, 87, 18, 3, 1], [1, 2, 21, 94, 65, 273, 133, 149, 66, 25, 2, 1], [1, 2, 21, 94, 66, 266, 154, 114, 101, 4, 9, 0], [1, 2, 21, 95, 58, 294, 98, 184, 45, 32, 1, 1], [1, 2, 21, 95, 59, 287, 119, 149, 80, 11, 8, 0], [1, 2, 21, 96, 52, 308, 84, 184, 59, 18, 7, 0], [1, 2, 22, 85, 100, 196, 238, 58, 115, 10, 4, 1], [1, 2, 22, 86, 93, 217, 203, 93, 94, 17, 3, 1], [1, 2, 22, 87, 86, 238, 168, 128, 73, 24, 2, 1], [1, 2, 22, 87, 87, 231, 189, 93, 108, 3, 9, 0], [1, 2, 22, 88, 79, 259, 133, 163, 52, 31, 1, 1], [1, 2, 22, 88, 80, 252, 154, 128, 87, 10, 8, 0], [1, 2, 22, 89, 72, 280, 98, 198, 31, 38, 0, 1], [1, 2, 22, 89, 73, 273, 119, 163, 66, 17, 7, 0], [1, 2, 22, 90, 66, 294, 84, 198, 45, 24, 6, 0], [1, 2, 23, 78, 121, 161, 273, 37, 122, 9, 4, 1], [1, 2, 23, 79, 114, 182, 238, 72, 101, 16, 3, 1], [1, 2, 23, 80, 107, 203, 203, 107, 80, 23, 2, 1], [1, 2, 23, 80, 108, 196, 224, 72, 115, 2, 9, 0], [1, 2, 23, 81, 100, 224, 168, 142, 59, 30, 1, 1], [1, 2, 23, 81, 101, 217, 189, 107, 94, 9, 8, 0], [1, 2, 23, 82, 93, 245, 133, 177, 38, 37, 0, 1], [1, 2, 23, 82, 94, 238, 154, 142, 73, 16, 7, 0], [1, 2, 23, 83, 87, 259, 119, 177, 52, 23, 6, 0], [1, 2, 23, 84, 80, 280, 84, 212, 31, 30, 5, 0], [1, 2, 24, 72, 135, 147, 273, 51, 108, 15, 3, 1], [1, 2, 24, 73, 128, 168, 238, 86, 87, 22, 2, 1], [1, 2, 24, 74, 121, 189, 203, 121, 66, 29, 1, 1], [1, 2, 24, 74, 122, 182, 224, 86, 101, 8, 8, 0], [1, 2, 24, 75, 114, 210, 168, 156, 45, 36, 0, 1], [1, 2, 24, 75, 115, 203, 189, 121, 80, 15, 7, 0], [1, 2, 24, 76, 108, 224, 154, 156, 59, 22, 6, 0], [1, 2, 24, 77, 101, 245, 119, 191, 38, 29, 5, 0], [1, 2, 25, 65, 156, 112, 308, 30, 115, 14, 3, 1], [1, 2, 25, 66, 149, 133, 273, 65, 94, 21, 2, 1], [1, 2, 25, 67, 142, 154, 238, 100, 73, 28, 1, 1], [1, 2, 25, 67, 143, 147, 259, 65, 108, 7, 8, 0], [1, 2, 25, 68, 135, 175, 203, 135, 52, 35, 0, 1], [1, 2, 25, 68, 136, 168, 224, 100, 87, 14, 7, 0], [1, 2, 25, 69, 129, 189, 189, 135, 66, 21, 6, 0], [1, 2, 25, 70, 122, 210, 154, 170, 45, 28, 5, 0], [1, 2, 25, 71, 115, 231, 119, 205, 24, 35, 4, 0], [1, 2, 26, 59, 170, 98, 308, 44, 101, 20, 2, 1], [1, 2, 26, 60, 163, 119, 273, 79, 80, 27, 1, 1], [1, 2, 26, 61, 156, 140, 238, 114, 59, 34, 0, 1], [1, 2, 26, 61, 157, 133, 259, 79, 94, 13, 7, 0], [1, 2, 26, 62, 150, 154, 224, 114, 73, 20, 6, 0], [1, 2, 26, 63, 143, 175, 189, 149, 52, 27, 5, 0], [1, 2, 26, 64, 136, 196, 154, 184, 31, 34, 4, 0], [1, 2, 26, 65, 129, 217, 119, 219, 10, 41, 3, 0], [1, 2, 27, 53, 184, 84, 308, 58, 87, 26, 1, 1], [1, 2, 27, 54, 177, 105, 273, 93, 66, 33, 0, 1], [1, 2, 27, 54, 178, 98, 294, 58, 101, 12, 7, 0], [1, 2, 27, 55, 171, 119, 259, 93, 80, 19, 6, 0], [1, 2, 27, 56, 164, 140, 224, 128, 59, 26, 5, 0], [1, 2, 27, 57, 157, 161, 189, 163, 38, 33, 4, 0], [1, 2, 27, 58, 150, 182, 154, 198, 17, 40, 3, 0], [1, 2, 28, 47, 198, 70, 308, 72, 73, 32, 0, 1], [1, 2, 28, 48, 192, 84, 294, 72, 87, 18, 6, 0], [1, 2, 28, 49, 185, 105, 259, 107, 66, 25, 5, 0], [1, 2, 28, 50, 178, 126, 224, 142, 45, 32, 4, 0], [1, 2, 28, 51, 171, 147, 189, 177, 24, 39, 3, 0], [1, 2, 29, 42, 206, 70, 294, 86, 73, 24, 5, 0], [1, 2, 29, 43, 199, 91, 259, 121, 52, 31, 4, 0], [1, 2, 29, 44, 192, 112, 224, 156, 31, 38, 3, 0], [1, 2, 29, 45, 185, 133, 189, 191, 10, 45, 2, 0], [1, 2, 30, 36, 220, 56, 294, 100, 59, 30, 4, 0], [1, 2, 30, 37, 213, 77, 259, 135, 38, 37, 3, 0], [1, 2, 30, 38, 206, 98, 224, 170, 17, 44, 2, 0], [1, 3, 14, 113, 44, 266, 182, 86, 107, 11, 4, 1], [1, 3, 14, 114, 37, 287, 147, 121, 86, 18, 3, 1], [1, 3, 14, 115, 30, 308, 112, 156, 65, 25, 2, 1], [1, 3, 15, 106, 65, 231, 217, 65, 114, 10, 4, 1], [1, 3, 15, 107, 58, 252, 182, 100, 93, 17, 3, 1], [1, 3, 15, 108, 51, 273, 147, 135, 72, 24, 2, 1], [1, 3, 15, 108, 52, 266, 168, 100, 107, 3, 9, 0], [1, 3, 15, 109, 44, 294, 112, 170, 51, 31, 1, 1], [1, 3, 15, 109, 45, 287, 133, 135, 86, 10, 8, 0], [1, 3, 15, 110, 38, 308, 98, 170, 65, 17, 7, 0], [1, 3, 16, 99, 86, 196, 252, 44, 121, 9, 4, 1], [1, 3, 16, 100, 79, 217, 217, 79, 100, 16, 3, 1], [1, 3, 16, 101, 72, 238, 182, 114, 79, 23, 2, 1], [1, 3, 16, 101, 73, 231, 203, 79, 114, 2, 9, 0], [1, 3, 16, 102, 65, 259, 147, 149, 58, 30, 1, 1], [1, 3, 16, 102, 66, 252, 168, 114, 93, 9, 8, 0], [1, 3, 16, 103, 58, 280, 112, 184, 37, 37, 0, 1], [1, 3, 16, 103, 59, 273, 133, 149, 72, 16, 7, 0], [1, 3, 16, 104, 52, 294, 98, 184, 51, 23, 6, 0], [1, 3, 17, 93, 100, 182, 252, 58, 107, 15, 3, 1], [1, 3, 17, 94, 93, 203, 217, 93, 86, 22, 2, 1], [1, 3, 17, 95, 86, 224, 182, 128, 65, 29, 1, 1], [1, 3, 17, 95, 87, 217, 203, 93, 100, 8, 8, 0], [1, 3, 17, 96, 79, 245, 147, 163, 44, 36, 0, 1], [1, 3, 17, 96, 80, 238, 168, 128, 79, 15, 7, 0], [1, 3, 17, 97, 73, 259, 133, 163, 58, 22, 6, 0], [1, 3, 17, 98, 66, 280, 98, 198, 37, 29, 5, 0], [1, 3, 18, 86, 121, 147, 287, 37, 114, 14, 3, 1], [1, 3, 18, 87, 114, 168, 252, 72, 93, 21, 2, 1], [1, 3, 18, 88, 107, 189, 217, 107, 72, 28, 1, 1], [1, 3, 18, 88, 108, 182, 238, 72, 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