-------
(10, 416, 5) Remaining distance distributions for EXTERNAL point
(5, 416, 5) has 0 possible DDs: {}
(6, 416, 5) has 1 possible DDs: {[0, 78, 0, 260, 0, 78, 0]}
(7, 416, 5) has 5 possible DDs: {[0, 39, 39, 130, 130, 39, 39, 0], [0, 40, 33, 145, 110, 54, 33, 1], [0, 41, 27, 160, 90, 69, 27, 2], [0, 42, 21, 175, 70, 84, 21, 3], [0, 43, 15, 190, 50, 99, 15, 4]}
(8, 416, 5) has 30 possible DDs: {[0, 16, 60, 32, 200, 32, 60, 16, 0], [0, 17, 54, 47, 180, 47, 54, 17, 0], [0, 17, 55, 41, 195, 27, 69, 11, 1], [0, 18, 48, 62, 160, 62, 48, 18, 0], [0, 18, 49, 56, 175, 42, 63, 12, 1], [0, 19, 42, 77, 140, 77, 42, 19, 0], [0, 19, 43, 71, 155, 57, 57, 13, 1], [0, 19, 44, 65, 170, 37, 72, 7, 2], [0, 20, 36, 92, 120, 92, 36, 20, 0], [0, 20, 37, 86, 135, 72, 51, 14, 1], [0, 20, 38, 80, 150, 52, 66, 8, 2], [0, 20, 39, 74, 165, 32, 81, 2, 3], [0, 21, 30, 107, 100, 107, 30, 21, 0], [0, 21, 31, 101, 115, 87, 45, 15, 1], [0, 21, 32, 95, 130, 67, 60, 9, 2], [0, 21, 33, 89, 145, 47, 75, 3, 3], [0, 22, 24, 122, 80, 122, 24, 22, 0], [0, 22, 25, 116, 95, 102, 39, 16, 1], [0, 22, 26, 110, 110, 82, 54, 10, 2], [0, 22, 27, 104, 125, 62, 69, 4, 3], [0, 23, 18, 137, 60, 137, 18, 23, 0], [0, 23, 19, 131, 75, 117, 33, 17, 1], [0, 23, 20, 125, 90, 97, 48, 11, 2], [0, 23, 21, 119, 105, 77, 63, 5, 3], [0, 24, 12, 152, 40, 152, 12, 24, 0], [0, 24, 13, 146, 55, 132, 27, 18, 1], [0, 24, 14, 140, 70, 112, 42, 12, 2], [0, 24, 15, 134, 85, 92, 57, 6, 3], [0, 24, 16, 128, 100, 72, 72, 0, 4], [0, 25, 9, 149, 65, 107, 51, 7, 3]}
(9, 416, 5) has 151 possible DDs: {[0, 5, 53, 19, 131, 131, 19, 53, 5, 0], [0, 5, 54, 13, 146, 111, 34, 47, 6, 0], [0, 6, 47, 34, 111, 146, 13, 54, 5, 0], [0, 6, 48, 28, 126, 126, 28, 48, 6, 0], [0, 6, 48, 29, 120, 141, 8, 63, 0, 1], [0, 6, 49, 22, 141, 106, 43, 42, 7, 0], [0, 6, 49, 23, 135, 121, 23, 57, 1, 1], [0, 6, 50, 16, 156, 86, 58, 36, 8, 0], [0, 6, 50, 17, 150, 101, 38, 51, 2, 1], [0, 6, 51, 10, 171, 66, 73, 30, 9, 0], [0, 6, 51, 11, 165, 81, 53, 45, 3, 1], [0, 7, 42, 43, 106, 141, 22, 49, 6, 0], [0, 7, 43, 37, 121, 121, 37, 43, 7, 0], [0, 7, 43, 38, 115, 136, 17, 58, 1, 1], [0, 7, 44, 31, 136, 101, 52, 37, 8, 0], [0, 7, 44, 32, 130, 116, 32, 52, 2, 1], [0, 7, 45, 25, 151, 81, 67, 31, 9, 0], [0, 7, 45, 26, 145, 96, 47, 46, 3, 1], [0, 7, 46, 19, 166, 61, 82, 25, 10, 0], [0, 7, 46, 20, 160, 76, 62, 40, 4, 1], [0, 7, 47, 14, 175, 56, 77, 34, 5, 1], [0, 8, 36, 58, 86, 156, 16, 50, 6, 0], [0, 8, 37, 52, 101, 136, 31, 44, 7, 0], [0, 8, 38, 46, 116, 116, 46, 38, 8, 0], [0, 8, 38, 47, 110, 131, 26, 53, 2, 1], [0, 8, 39, 40, 131, 96, 61, 32, 9, 0], [0, 8, 39, 41, 125, 111, 41, 47, 3, 1], [0, 8, 40, 34, 146, 76, 76, 26, 10, 0], [0, 8, 40, 35, 140, 91, 56, 41, 4, 1], [0, 8, 41, 28, 161, 56, 91, 20, 11, 0], [0, 8, 41, 29, 155, 71, 71, 35, 5, 1], [0, 8, 42, 23, 170, 51, 86, 29, 6, 1], [0, 8, 42, 24, 164, 66, 66, 44, 0, 2], [0, 8, 43, 18, 179, 46, 81, 38, 1, 2], [0, 9, 30, 73, 66, 171, 10, 51, 6, 0], [0, 9, 31, 67, 81, 151, 25, 45, 7, 0], [0, 9, 32, 61, 96, 131, 40, 39, 8, 0], [0, 9, 32, 62, 90, 146, 20, 54, 2, 1], [0, 9, 33, 55, 111, 111, 55, 33, 9, 0], [0, 9, 33, 56, 105, 126, 35, 48, 3, 1], [0, 9, 34, 49, 126, 91, 70, 27, 10, 0], [0, 9, 34, 50, 120, 106, 50, 42, 4, 1], [0, 9, 35, 43, 141, 71, 85, 21, 11, 0], [0, 9, 35, 44, 135, 86, 65, 36, 5, 1], [0, 9, 36, 37, 156, 51, 100, 15, 12, 0], [0, 9, 36, 38, 150, 66, 80, 30, 6, 1], [0, 9, 36, 39, 144, 81, 60, 45, 0, 2], [0, 9, 37, 32, 165, 46, 95, 24, 7, 1], [0, 9, 37, 33, 159, 61, 75, 39, 1, 2], [0, 9, 38, 27, 174, 41, 90, 33, 2, 2], [0, 10, 25, 82, 61, 166, 19, 46, 7, 0], [0, 10, 26, 76, 76, 146, 34, 40, 8, 0], [0, 10, 26, 77, 70, 161, 14, 55, 2, 1], [0, 10, 27, 70, 91, 126, 49, 34, 9, 0], [0, 10, 27, 71, 85, 141, 29, 49, 3, 1], [0, 10, 28, 64, 106, 106, 64, 28, 10, 0], [0, 10, 28, 65, 100, 121, 44, 43, 4, 1], [0, 10, 29, 58, 121, 86, 79, 22, 11, 0], [0, 10, 29, 59, 115, 101, 59, 37, 5, 1], [0, 10, 30, 52, 136, 66, 94, 16, 12, 0], [0, 10, 30, 53, 130, 81, 74, 31, 6, 1], [0, 10, 30, 54, 124, 96, 54, 46, 0, 2], [0, 10, 31, 46, 151, 46, 109, 10, 13, 0], [0, 10, 31, 47, 145, 61, 89, 25, 7, 1], [0, 10, 31, 48, 139, 76, 69, 40, 1, 2], [0, 10, 32, 41, 160, 41, 104, 19, 8, 1], [0, 10, 32, 42, 154, 56, 84, 34, 2, 2], [0, 10, 33, 36, 169, 36, 99, 28, 3, 2], [0, 11, 20, 91, 56, 161, 28, 41, 8, 0], [0, 11, 21, 85, 71, 141, 43, 35, 9, 0], [0, 11, 21, 86, 65, 156, 23, 50, 3, 1], [0, 11, 22, 79, 86, 121, 58, 29, 10, 0], [0, 11, 22, 80, 80, 136, 38, 44, 4, 1], [0, 11, 23, 73, 101, 101, 73, 23, 11, 0], [0, 11, 23, 74, 95, 116, 53, 38, 5, 1], [0, 11, 24, 67, 116, 81, 88, 17, 12, 0], [0, 11, 24, 68, 110, 96, 68, 32, 6, 1], [0, 11, 24, 69, 104, 111, 48, 47, 0, 2], [0, 11, 25, 61, 131, 61, 103, 11, 13, 0], [0, 11, 25, 62, 125, 76, 83, 26, 7, 1], [0, 11, 25, 63, 119, 91, 63, 41, 1, 2], [0, 11, 26, 56, 140, 56, 98, 20, 8, 1], [0, 11, 26, 57, 134, 71, 78, 35, 2, 2], [0, 11, 27, 50, 155, 36, 113, 14, 9, 1], [0, 11, 27, 51, 149, 51, 93, 29, 3, 2], [0, 11, 28, 45, 164, 31, 108, 23, 4, 2], [0, 12, 15, 100, 51, 156, 37, 36, 9, 0], [0, 12, 16, 94, 66, 136, 52, 30, 10, 0], [0, 12, 16, 95, 60, 151, 32, 45, 4, 1], [0, 12, 17, 88, 81, 116, 67, 24, 11, 0], [0, 12, 17, 89, 75, 131, 47, 39, 5, 1], [0, 12, 18, 82, 96, 96, 82, 18, 12, 0], [0, 12, 18, 83, 90, 111, 62, 33, 6, 1], [0, 12, 18, 84, 84, 126, 42, 48, 0, 2], [0, 12, 19, 76, 111, 76, 97, 12, 13, 0], [0, 12, 19, 77, 105, 91, 77, 27, 7, 1], [0, 12, 19, 78, 99, 106, 57, 42, 1, 2], [0, 12, 20, 70, 126, 56, 112, 6, 14, 0], [0, 12, 20, 71, 120, 71, 92, 21, 8, 1], [0, 12, 20, 72, 114, 86, 72, 36, 2, 2], [0, 12, 21, 65, 135, 51, 107, 15, 9, 1], [0, 12, 21, 66, 129, 66, 87, 30, 3, 2], [0, 12, 22, 60, 144, 46, 102, 24, 4, 2], [0, 12, 23, 54, 159, 26, 117, 18, 5, 2], [0, 12, 24, 49, 168, 21, 112, 27, 0, 3], [0, 13, 10, 109, 46, 151, 46, 31, 10, 0], [0, 13, 11, 103, 61, 131, 61, 25, 11, 0], [0, 13, 11, 104, 55, 146, 41, 40, 5, 1], [0, 13, 12, 97, 76, 111, 76, 19, 12, 0], [0, 13, 12, 98, 70, 126, 56, 34, 6, 1], [0, 13, 12, 99, 64, 141, 36, 49, 0, 2], [0, 13, 13, 91, 91, 91, 91, 13, 13, 0], [0, 13, 13, 92, 85, 106, 71, 28, 7, 1], [0, 13, 13, 93, 79, 121, 51, 43, 1, 2], [0, 13, 14, 85, 106, 71, 106, 7, 14, 0], [0, 13, 14, 86, 100, 86, 86, 22, 8, 1], [0, 13, 14, 87, 94, 101, 66, 37, 2, 2], [0, 13, 15, 80, 115, 66, 101, 16, 9, 1], [0, 13, 15, 81, 109, 81, 81, 31, 3, 2], [0, 13, 16, 74, 130, 46, 116, 10, 10, 1], [0, 13, 16, 75, 124, 61, 96, 25, 4, 2], [0, 13, 17, 69, 139, 41, 111, 19, 5, 2], [0, 13, 18, 64, 148, 36, 106, 28, 0, 3], [0, 14, 6, 112, 56, 126, 70, 20, 12, 0], [0, 14, 6, 113, 50, 141, 50, 35, 6, 1], [0, 14, 7, 106, 71, 106, 85, 14, 13, 0], [0, 14, 7, 107, 65, 121, 65, 29, 7, 1], [0, 14, 7, 108, 59, 136, 45, 44, 1, 2], [0, 14, 8, 100, 86, 86, 100, 8, 14, 0], [0, 14, 8, 101, 80, 101, 80, 23, 8, 1], [0, 14, 8, 102, 74, 116, 60, 38, 2, 2], [0, 14, 9, 94, 101, 66, 115, 2, 15, 0], [0, 14, 9, 95, 95, 81, 95, 17, 9, 1], [0, 14, 9, 96, 89, 96, 75, 32, 3, 2], [0, 14, 10, 89, 110, 61, 110, 11, 10, 1], [0, 14, 10, 90, 104, 76, 90, 26, 4, 2], [0, 14, 11, 84, 119, 56, 105, 20, 5, 2], [0, 14, 12, 78, 134, 36, 120, 14, 6, 2], [0, 14, 12, 79, 128, 51, 100, 29, 0, 3], [0, 14, 13, 73, 143, 31, 115, 23, 1, 3], [0, 15, 2, 115, 66, 101, 94, 9, 14, 0], [0, 15, 3, 109, 81, 81, 109, 3, 15, 0], [0, 15, 3, 110, 75, 96, 89, 18, 9, 1], [0, 15, 3, 111, 69, 111, 69, 33, 3, 2], [0, 15, 4, 104, 90, 76, 104, 12, 10, 1], [0, 15, 4, 105, 84, 91, 84, 27, 4, 2], [0, 15, 5, 99, 99, 71, 99, 21, 5, 2], [0, 15, 6, 93, 114, 51, 114, 15, 6, 2], [0, 15, 6, 94, 108, 66, 94, 30, 0, 3], [0, 15, 7, 88, 123, 46, 109, 24, 1, 3], [0, 15, 8, 82, 138, 26, 124, 18, 2, 3]}
(10, 416, 5) has 820 possible DDs: {[0, 0, 37, 38, 35, 196, 35, 38, 37, 0, 0], [0, 0, 38, 32, 50, 176, 50, 32, 38, 0, 0], [0, 0, 38, 33, 44, 191, 30, 47, 32, 1, 0], [0, 0, 39, 26, 65, 156, 65, 26, 39, 0, 0], [0, 0, 39, 27, 59, 171, 45, 41, 33, 1, 0], [0, 0, 39, 28, 53, 186, 25, 56, 27, 2, 0], [0, 0, 40, 20, 80, 136, 80, 20, 40, 0, 0], [0, 0, 40, 21, 74, 151, 60, 35, 34, 1, 0], [0, 0, 40, 22, 68, 166, 40, 50, 28, 2, 0], [0, 0, 40, 23, 62, 181, 20, 65, 22, 3, 0], [0, 0, 41, 14, 95, 116, 95, 14, 41, 0, 0], [0, 0, 41, 15, 89, 131, 75, 29, 35, 1, 0], [0, 0, 41, 16, 83, 146, 55, 44, 29, 2, 0], [0, 0, 41, 17, 77, 161, 35, 59, 23, 3, 0], [0, 0, 41, 18, 71, 176, 15, 74, 17, 4, 0], [0, 0, 42, 8, 110, 96, 110, 8, 42, 0, 0], [0, 0, 42, 9, 104, 111, 90, 23, 36, 1, 0], [0, 0, 42, 10, 98, 126, 70, 38, 30, 2, 0], [0, 0, 42, 11, 92, 141, 50, 53, 24, 3, 0], [0, 0, 42, 12, 86, 156, 30, 68, 18, 4, 0], [0, 0, 43, 4, 113, 106, 85, 32, 31, 2, 0], [0, 0, 43, 5, 107, 121, 65, 47, 25, 3, 0], [0, 0, 43, 6, 101, 136, 45, 62, 19, 4, 0], [0, 1, 32, 47, 30, 191, 44, 33, 38, 0, 0], [0, 1, 32, 48, 24, 206, 24, 48, 32, 1, 0], [0, 1, 33, 41, 45, 171, 59, 27, 39, 0, 0], [0, 1, 33, 42, 39, 186, 39, 42, 33, 1, 0], [0, 1, 33, 43, 33, 201, 19, 57, 27, 2, 0], [0, 1, 34, 35, 60, 151, 74, 21, 40, 0, 0], [0, 1, 34, 36, 54, 166, 54, 36, 34, 1, 0], [0, 1, 34, 37, 48, 181, 34, 51, 28, 2, 0], [0, 1, 34, 38, 42, 196, 14, 66, 22, 3, 0], [0, 1, 35, 29, 75, 131, 89, 15, 41, 0, 0], [0, 1, 35, 30, 69, 146, 69, 30, 35, 1, 0], [0, 1, 35, 31, 63, 161, 49, 45, 29, 2, 0], [0, 1, 35, 32, 57, 176, 29, 60, 23, 3, 0], [0, 1, 36, 23, 90, 111, 104, 9, 42, 0, 0], [0, 1, 36, 24, 84, 126, 84, 24, 36, 1, 0], [0, 1, 36, 25, 78, 141, 64, 39, 30, 2, 0], [0, 1, 36, 26, 72, 156, 44, 54, 24, 3, 0], [0, 1, 36, 27, 66, 171, 24, 69, 18, 4, 0], [0, 1, 37, 18, 99, 106, 99, 18, 37, 1, 0], [0, 1, 37, 19, 93, 121, 79, 33, 31, 2, 0], [0, 1, 37, 20, 87, 136, 59, 48, 25, 3, 0], [0, 1, 37, 21, 81, 151, 39, 63, 19, 4, 0], [0, 1, 37, 22, 75, 166, 19, 78, 13, 5, 0], [0, 1, 38, 12, 114, 86, 114, 12, 38, 1, 0], [0, 1, 38, 13, 108, 101, 94, 27, 32, 2, 0], [0, 1, 38, 14, 102, 116, 74, 42, 26, 3, 0], [0, 1, 38, 15, 96, 131, 54, 57, 20, 4, 0], [0, 1, 38, 16, 90, 146, 34, 72, 14, 5, 0], [0, 1, 38, 17, 85, 155, 29, 67, 23, 0, 1], [0, 1, 39, 6, 129, 66, 129, 6, 39, 1, 0], [0, 1, 39, 7, 123, 81, 109, 21, 33, 2, 0], [0, 1, 39, 8, 117, 96, 89, 36, 27, 3, 0], [0, 1, 39, 9, 111, 111, 69, 51, 21, 4, 0], [0, 1, 39, 10, 105, 126, 49, 66, 15, 5, 0], [0, 1, 39, 11, 99, 141, 29, 81, 9, 6, 0], [0, 1, 39, 11, 100, 135, 44, 61, 24, 0, 1], [0, 1, 40, 3, 126, 91, 84, 45, 22, 4, 0], [0, 2, 27, 56, 25, 186, 53, 28, 39, 0, 0], [0, 2, 27, 57, 19, 201, 33, 43, 33, 1, 0], [0, 2, 27, 58, 13, 216, 13, 58, 27, 2, 0], [0, 2, 28, 50, 40, 166, 68, 22, 40, 0, 0], [0, 2, 28, 51, 34, 181, 48, 37, 34, 1, 0], [0, 2, 28, 52, 28, 196, 28, 52, 28, 2, 0], [0, 2, 29, 44, 55, 146, 83, 16, 41, 0, 0], [0, 2, 29, 45, 49, 161, 63, 31, 35, 1, 0], [0, 2, 29, 46, 43, 176, 43, 46, 29, 2, 0], [0, 2, 29, 47, 37, 191, 23, 61, 23, 3, 0], [0, 2, 30, 38, 70, 126, 98, 10, 42, 0, 0], [0, 2, 30, 39, 64, 141, 78, 25, 36, 1, 0], [0, 2, 30, 40, 58, 156, 58, 40, 30, 2, 0], [0, 2, 30, 41, 52, 171, 38, 55, 24, 3, 0], [0, 2, 30, 42, 46, 186, 18, 70, 18, 4, 0], [0, 2, 31, 32, 85, 106, 113, 4, 43, 0, 0], [0, 2, 31, 33, 79, 121, 93, 19, 37, 1, 0], [0, 2, 31, 34, 73, 136, 73, 34, 31, 2, 0], [0, 2, 31, 35, 67, 151, 53, 49, 25, 3, 0], [0, 2, 31, 36, 61, 166, 33, 64, 19, 4, 0], [0, 2, 31, 37, 55, 181, 13, 79, 13, 5, 0], [0, 2, 32, 27, 94, 101, 108, 13, 38, 1, 0], [0, 2, 32, 28, 88, 116, 88, 28, 32, 2, 0], [0, 2, 32, 29, 82, 131, 68, 43, 26, 3, 0], [0, 2, 32, 30, 76, 146, 48, 58, 20, 4, 0], [0, 2, 32, 31, 70, 161, 28, 73, 14, 5, 0], [0, 2, 32, 32, 65, 170, 23, 68, 23, 0, 1], [0, 2, 33, 21, 109, 81, 123, 7, 39, 1, 0], [0, 2, 33, 22, 103, 96, 103, 22, 33, 2, 0], [0, 2, 33, 23, 97, 111, 83, 37, 27, 3, 0], [0, 2, 33, 24, 91, 126, 63, 52, 21, 4, 0], [0, 2, 33, 25, 85, 141, 43, 67, 15, 5, 0], [0, 2, 33, 26, 79, 156, 23, 82, 9, 6, 0], [0, 2, 33, 26, 80, 150, 38, 62, 24, 0, 1], [0, 2, 33, 27, 74, 165, 18, 77, 18, 1, 1], [0, 2, 34, 16, 118, 76, 118, 16, 34, 2, 0], [0, 2, 34, 17, 112, 91, 98, 31, 28, 3, 0], [0, 2, 34, 18, 106, 106, 78, 46, 22, 4, 0], [0, 2, 34, 19, 100, 121, 58, 61, 16, 5, 0], [0, 2, 34, 20, 94, 136, 38, 76, 10, 6, 0], [0, 2, 34, 20, 95, 130, 53, 56, 25, 0, 1], [0, 2, 34, 21, 89, 145, 33, 71, 19, 1, 1], [0, 2, 35, 10, 133, 56, 133, 10, 35, 2, 0], [0, 2, 35, 11, 127, 71, 113, 25, 29, 3, 0], [0, 2, 35, 12, 121, 86, 93, 40, 23, 4, 0], [0, 2, 35, 13, 115, 101, 73, 55, 17, 5, 0], [0, 2, 35, 14, 109, 116, 53, 70, 11, 6, 0], [0, 2, 35, 14, 110, 110, 68, 50, 26, 0, 1], [0, 2, 35, 15, 103, 131, 33, 85, 5, 7, 0], [0, 2, 35, 15, 104, 125, 48, 65, 20, 1, 1], [0, 2, 35, 16, 98, 140, 28, 80, 14, 2, 1], [0, 2, 36, 6, 136, 66, 108, 34, 24, 4, 0], [0, 2, 36, 7, 130, 81, 88, 49, 18, 5, 0], [0, 2, 36, 8, 124, 96, 68, 64, 12, 6, 0], [0, 2, 36, 8, 125, 90, 83, 44, 27, 0, 1], [0, 2, 36, 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