-------
(11, 448, 5) ALL distance distributions for INTERNAL point
(5, 448, 5) has 1 possible DDs: {[14, 70, 140, 140, 70, 14]}
(6, 448, 5) has 14 possible DDs: {[1, 78, 15, 260, 15, 78, 1], [2, 72, 30, 240, 30, 72, 2], [3, 66, 45, 220, 45, 66, 3], [4, 60, 60, 200, 60, 60, 4], [5, 54, 75, 180, 75, 54, 5], [6, 48, 90, 160, 90, 48, 6], [7, 42, 105, 140, 105, 42, 7], [8, 36, 120, 120, 120, 36, 8], [9, 30, 135, 100, 135, 30, 9], [10, 24, 150, 80, 150, 24, 10], [11, 18, 165, 60, 165, 18, 11], [12, 12, 180, 40, 180, 12, 12], [13, 6, 195, 20, 195, 6, 13], [14, 0, 210, 0, 210, 0, 14]}
(7, 448, 5) has 61 possible DDs: {[1, 36, 57, 120, 155, 36, 43, 0], [1, 37, 51, 135, 135, 51, 37, 1], [1, 38, 45, 150, 115, 66, 31, 2], [1, 39, 39, 165, 95, 81, 25, 3], [1, 40, 33, 180, 75, 96, 19, 4], [1, 41, 27, 195, 55, 111, 13, 5], [1, 42, 21, 210, 35, 126, 7, 6], [1, 43, 15, 225, 15, 141, 1, 7], [2, 30, 72, 100, 170, 30, 44, 0], [2, 31, 66, 115, 150, 45, 38, 1], [2, 32, 60, 130, 130, 60, 32, 2], [2, 33, 54, 145, 110, 75, 26, 3], [2, 34, 48, 160, 90, 90, 20, 4], [2, 35, 42, 175, 70, 105, 14, 5], [2, 36, 36, 190, 50, 120, 8, 6], [2, 37, 30, 205, 30, 135, 2, 7], [3, 24, 87, 80, 185, 24, 45, 0], [3, 25, 81, 95, 165, 39, 39, 1], [3, 26, 75, 110, 145, 54, 33, 2], [3, 27, 69, 125, 125, 69, 27, 3], [3, 28, 63, 140, 105, 84, 21, 4], [3, 29, 57, 155, 85, 99, 15, 5], [3, 30, 51, 170, 65, 114, 9, 6], [3, 31, 45, 185, 45, 129, 3, 7], [4, 18, 102, 60, 200, 18, 46, 0], [4, 19, 96, 75, 180, 33, 40, 1], [4, 20, 90, 90, 160, 48, 34, 2], [4, 21, 84, 105, 140, 63, 28, 3], [4, 22, 78, 120, 120, 78, 22, 4], [4, 23, 72, 135, 100, 93, 16, 5], [4, 24, 66, 150, 80, 108, 10, 6], [4, 25, 60, 165, 60, 123, 4, 7], [5, 12, 117, 40, 215, 12, 47, 0], [5, 13, 111, 55, 195, 27, 41, 1], [5, 14, 105, 70, 175, 42, 35, 2], [5, 15, 99, 85, 155, 57, 29, 3], [5, 16, 93, 100, 135, 72, 23, 4], [5, 17, 87, 115, 115, 87, 17, 5], [5, 18, 81, 130, 95, 102, 11, 6], [5, 19, 75, 145, 75, 117, 5, 7], [6, 6, 132, 20, 230, 6, 48, 0], [6, 7, 126, 35, 210, 21, 42, 1], [6, 8, 120, 50, 190, 36, 36, 2], [6, 9, 114, 65, 170, 51, 30, 3], [6, 10, 108, 80, 150, 66, 24, 4], [6, 11, 102, 95, 130, 81, 18, 5], [6, 12, 96, 110, 110, 96, 12, 6], [6, 13, 90, 125, 90, 111, 6, 7], [6, 14, 84, 140, 70, 126, 0, 8], [7, 0, 147, 0, 245, 0, 49, 0], [7, 1, 141, 15, 225, 15, 43, 1], [7, 2, 135, 30, 205, 30, 37, 2], [7, 3, 129, 45, 185, 45, 31, 3], [7, 4, 123, 60, 165, 60, 25, 4], [7, 5, 117, 75, 145, 75, 19, 5], [7, 6, 111, 90, 125, 90, 13, 6], [7, 7, 105, 105, 105, 105, 7, 7], [7, 8, 99, 120, 85, 120, 1, 8], [8, 0, 126, 70, 140, 84, 14, 6], [8, 1, 120, 85, 120, 99, 8, 7], [8, 2, 114, 100, 100, 114, 2, 8]}
(8, 448, 5) has 257 possible DDs: {[1, 11, 81, 11, 235, 25, 67, 17, 0], [1, 11, 82, 5, 250, 5, 82, 11, 1], [1, 12, 75, 26, 215, 40, 61, 18, 0], [1, 12, 76, 20, 230, 20, 76, 12, 1], [1, 12, 77, 14, 245, 0, 91, 6, 2], [1, 13, 69, 41, 195, 55, 55, 19, 0], [1, 13, 70, 35, 210, 35, 70, 13, 1], [1, 13, 71, 29, 225, 15, 85, 7, 2], [1, 14, 63, 56, 175, 70, 49, 20, 0], [1, 14, 64, 50, 190, 50, 64, 14, 1], [1, 14, 65, 44, 205, 30, 79, 8, 2], [1, 14, 66, 38, 220, 10, 94, 2, 3], [1, 15, 57, 71, 155, 85, 43, 21, 0], [1, 15, 58, 65, 170, 65, 58, 15, 1], [1, 15, 59, 59, 185, 45, 73, 9, 2], [1, 15, 60, 53, 200, 25, 88, 3, 3], [1, 16, 51, 86, 135, 100, 37, 22, 0], [1, 16, 52, 80, 150, 80, 52, 16, 1], [1, 16, 53, 74, 165, 60, 67, 10, 2], [1, 16, 54, 68, 180, 40, 82, 4, 3], [1, 17, 45, 101, 115, 115, 31, 23, 0], [1, 17, 46, 95, 130, 95, 46, 17, 1], [1, 17, 47, 89, 145, 75, 61, 11, 2], [1, 17, 48, 83, 160, 55, 76, 5, 3], [1, 18, 39, 116, 95, 130, 25, 24, 0], [1, 18, 40, 110, 110, 110, 40, 18, 1], [1, 18, 41, 104, 125, 90, 55, 12, 2], [1, 18, 42, 98, 140, 70, 70, 6, 3], [1, 18, 43, 92, 155, 50, 85, 0, 4], [1, 19, 33, 131, 75, 145, 19, 25, 0], [1, 19, 34, 125, 90, 125, 34, 19, 1], [1, 19, 35, 119, 105, 105, 49, 13, 2], [1, 19, 36, 113, 120, 85, 64, 7, 3], [1, 19, 37, 107, 135, 65, 79, 1, 4], [1, 20, 27, 146, 55, 160, 13, 26, 0], [1, 20, 28, 140, 70, 140, 28, 20, 1], [1, 20, 29, 134, 85, 120, 43, 14, 2], [1, 20, 30, 128, 100, 100, 58, 8, 3], [1, 20, 31, 122, 115, 80, 73, 2, 4], [1, 21, 21, 161, 35, 175, 7, 27, 0], [1, 21, 22, 155, 50, 155, 22, 21, 1], [1, 21, 23, 149, 65, 135, 37, 15, 2], [1, 21, 24, 143, 80, 115, 52, 9, 3], [1, 21, 25, 137, 95, 95, 67, 3, 4], [1, 22, 15, 176, 15, 190, 1, 28, 0], [1, 22, 16, 170, 30, 170, 16, 22, 1], [1, 22, 17, 164, 45, 150, 31, 16, 2], [1, 22, 18, 158, 60, 130, 46, 10, 3], [1, 22, 19, 152, 75, 110, 61, 4, 4], [1, 23, 10, 185, 10, 185, 10, 23, 1], [1, 23, 11, 179, 25, 165, 25, 17, 2], [1, 23, 12, 173, 40, 145, 40, 11, 3], [1, 23, 13, 167, 55, 125, 55, 5, 4], [1, 24, 5, 194, 5, 180, 19, 18, 2], [1, 24, 6, 188, 20, 160, 34, 12, 3], [1, 24, 7, 182, 35, 140, 49, 6, 4], [1, 24, 8, 176, 50, 120, 64, 0, 5], [1, 25, 0, 203, 0, 175, 28, 13, 3], [1, 25, 1, 197, 15, 155, 43, 7, 4], [1, 25, 2, 191, 30, 135, 58, 1, 5], [2, 6, 90, 6, 230, 34, 62, 18, 0], [2, 6, 91, 0, 245, 14, 77, 12, 1], [2, 7, 84, 21, 210, 49, 56, 19, 0], [2, 7, 85, 15, 225, 29, 71, 13, 1], [2, 7, 86, 9, 240, 9, 86, 7, 2], [2, 8, 78, 36, 190, 64, 50, 20, 0], [2, 8, 79, 30, 205, 44, 65, 14, 1], [2, 8, 80, 24, 220, 24, 80, 8, 2], [2, 8, 81, 18, 235, 4, 95, 2, 3], [2, 9, 72, 51, 170, 79, 44, 21, 0], [2, 9, 73, 45, 185, 59, 59, 15, 1], [2, 9, 74, 39, 200, 39, 74, 9, 2], [2, 9, 75, 33, 215, 19, 89, 3, 3], [2, 10, 66, 66, 150, 94, 38, 22, 0], [2, 10, 67, 60, 165, 74, 53, 16, 1], [2, 10, 68, 54, 180, 54, 68, 10, 2], [2, 10, 69, 48, 195, 34, 83, 4, 3], [2, 11, 60, 81, 130, 109, 32, 23, 0], [2, 11, 61, 75, 145, 89, 47, 17, 1], [2, 11, 62, 69, 160, 69, 62, 11, 2], [2, 11, 63, 63, 175, 49, 77, 5, 3], [2, 12, 54, 96, 110, 124, 26, 24, 0], [2, 12, 55, 90, 125, 104, 41, 18, 1], [2, 12, 56, 84, 140, 84, 56, 12, 2], [2, 12, 57, 78, 155, 64, 71, 6, 3], [2, 12, 58, 72, 170, 44, 86, 0, 4], [2, 13, 48, 111, 90, 139, 20, 25, 0], [2, 13, 49, 105, 105, 119, 35, 19, 1], [2, 13, 50, 99, 120, 99, 50, 13, 2], [2, 13, 51, 93, 135, 79, 65, 7, 3], [2, 13, 52, 87, 150, 59, 80, 1, 4], [2, 14, 42, 126, 70, 154, 14, 26, 0], [2, 14, 43, 120, 85, 134, 29, 20, 1], [2, 14, 44, 114, 100, 114, 44, 14, 2], [2, 14, 45, 108, 115, 94, 59, 8, 3], [2, 14, 46, 102, 130, 74, 74, 2, 4], [2, 15, 36, 141, 50, 169, 8, 27, 0], [2, 15, 37, 135, 65, 149, 23, 21, 1], [2, 15, 38, 129, 80, 129, 38, 15, 2], [2, 15, 39, 123, 95, 109, 53, 9, 3], [2, 15, 40, 117, 110, 89, 68, 3, 4], [2, 16, 30, 156, 30, 184, 2, 28, 0], [2, 16, 31, 150, 45, 164, 17, 22, 1], [2, 16, 32, 144, 60, 144, 32, 16, 2], [2, 16, 33, 138, 75, 124, 47, 10, 3], [2, 16, 34, 132, 90, 104, 62, 4, 4], [2, 17, 25, 165, 25, 179, 11, 23, 1], [2, 17, 26, 159, 40, 159, 26, 17, 2], [2, 17, 27, 153, 55, 139, 41, 11, 3], [2, 17, 28, 147, 70, 119, 56, 5, 4], [2, 18, 19, 180, 5, 194, 5, 24, 1], [2, 18, 20, 174, 20, 174, 20, 18, 2], [2, 18, 21, 168, 35, 154, 35, 12, 3], [2, 18, 22, 162, 50, 134, 50, 6, 4], [2, 18, 23, 156, 65, 114, 65, 0, 5], [2, 19, 14, 189, 0, 189, 14, 19, 2], [2, 19, 15, 183, 15, 169, 29, 13, 3], [2, 19, 16, 177, 30, 149, 44, 7, 4], [2, 19, 17, 171, 45, 129, 59, 1, 5], [2, 20, 10, 192, 10, 164, 38, 8, 4], [2, 20, 11, 186, 25, 144, 53, 2, 5], [2, 21, 5, 201, 5, 159, 47, 3, 5], [3, 1, 99, 1, 225, 43, 57, 19, 0], [3, 2, 93, 16, 205, 58, 51, 20, 0], [3, 2, 94, 10, 220, 38, 66, 14, 1], [3, 2, 95, 4, 235, 18, 81, 8, 2], [3, 3, 87, 31, 185, 73, 45, 21, 0], [3, 3, 88, 25, 200, 53, 60, 15, 1], [3, 3, 89, 19, 215, 33, 75, 9, 2], [3, 3, 90, 13, 230, 13, 90, 3, 3], [3, 4, 81, 46, 165, 88, 39, 22, 0], [3, 4, 82, 40, 180, 68, 54, 16, 1], [3, 4, 83, 34, 195, 48, 69, 10, 2], [3, 4, 84, 28, 210, 28, 84, 4, 3], [3, 5, 75, 61, 145, 103, 33, 23, 0], [3, 5, 76, 55, 160, 83, 48, 17, 1], [3, 5, 77, 49, 175, 63, 63, 11, 2], [3, 5, 78, 43, 190, 43, 78, 5, 3], [3, 6, 69, 76, 125, 118, 27, 24, 0], [3, 6, 70, 70, 140, 98, 42, 18, 1], [3, 6, 71, 64, 155, 78, 57, 12, 2], [3, 6, 72, 58, 170, 58, 72, 6, 3], [3, 6, 73, 52, 185, 38, 87, 0, 4], [3, 7, 63, 91, 105, 133, 21, 25, 0], [3, 7, 64, 85, 120, 113, 36, 19, 1], [3, 7, 65, 79, 135, 93, 51, 13, 2], [3, 7, 66, 73, 150, 73, 66, 7, 3], [3, 7, 67, 67, 165, 53, 81, 1, 4], [3, 8, 57, 106, 85, 148, 15, 26, 0], [3, 8, 58, 100, 100, 128, 30, 20, 1], [3, 8, 59, 94, 115, 108, 45, 14, 2], [3, 8, 60, 88, 130, 88, 60, 8, 3], [3, 8, 61, 82, 145, 68, 75, 2, 4], [3, 9, 51, 121, 65, 163, 9, 27, 0], [3, 9, 52, 115, 80, 143, 24, 21, 1], [3, 9, 53, 109, 95, 123, 39, 15, 2], [3, 9, 54, 103, 110, 103, 54, 9, 3], [3, 9, 55, 97, 125, 83, 69, 3, 4], [3, 10, 45, 136, 45, 178, 3, 28, 0], [3, 10, 46, 130, 60, 158, 18, 22, 1], [3, 10, 47, 124, 75, 138, 33, 16, 2], [3, 10, 48, 118, 90, 118, 48, 10, 3], [3, 10, 49, 112, 105, 98, 63, 4, 4], [3, 11, 40, 145, 40, 173, 12, 23, 1], [3, 11, 41, 139, 55, 153, 27, 17, 2], [3, 11, 42, 133, 70, 133, 42, 11, 3], [3, 11, 43, 127, 85, 113, 57, 5, 4], [3, 12, 34, 160, 20, 188, 6, 24, 1], [3, 12, 35, 154, 35, 168, 21, 18, 2], [3, 12, 36, 148, 50, 148, 36, 12, 3], [3, 12, 37, 142, 65, 128, 51, 6, 4], [3, 12, 38, 136, 80, 108, 66, 0, 5], [3, 13, 28, 175, 0, 203, 0, 25, 1], [3, 13, 29, 169, 15, 183, 15, 19, 2], [3, 13, 30, 163, 30, 163, 30, 13, 3], [3, 13, 31, 157, 45, 143, 45, 7, 4], [3, 13, 32, 151, 60, 123, 60, 1, 5], [3, 14, 24, 178, 10, 178, 24, 14, 3], [3, 14, 25, 172, 25, 158, 39, 8, 4], [3, 14, 26, 166, 40, 138, 54, 2, 5], [3, 15, 19, 187, 5, 173, 33, 9, 4], [3, 15, 20, 181, 20, 153, 48, 3, 5], [3, 16, 14, 196, 0, 168, 42, 4, 5], [4, 0, 84, 56, 140, 112, 28, 24, 0], [4, 0, 85, 50, 155, 92, 43, 18, 1], [4, 0, 86, 44, 170, 72, 58, 12, 2], [4, 0, 87, 38, 185, 52, 73, 6, 3], [4, 0, 88, 32, 200, 32, 88, 0, 4], [4, 1, 78, 71, 120, 127, 22, 25, 0], [4, 1, 79, 65, 135, 107, 37, 19, 1], [4, 1, 80, 59, 150, 87, 52, 13, 2], [4, 1, 81, 53, 165, 67, 67, 7, 3], [4, 1, 82, 47, 180, 47, 82, 1, 4], [4, 2, 72, 86, 100, 142, 16, 26, 0], [4, 2, 73, 80, 115, 122, 31, 20, 1], [4, 2, 74, 74, 130, 102, 46, 14, 2], [4, 2, 75, 68, 145, 82, 61, 8, 3], [4, 2, 76, 62, 160, 62, 76, 2, 4], [4, 3, 66, 101, 80, 157, 10, 27, 0], [4, 3, 67, 95, 95, 137, 25, 21, 1], [4, 3, 68, 89, 110, 117, 40, 15, 2], [4, 3, 69, 83, 125, 97, 55, 9, 3], [4, 3, 70, 77, 140, 77, 70, 3, 4], [4, 4, 60, 116, 60, 172, 4, 28, 0], [4, 4, 61, 110, 75, 152, 19, 22, 1], [4, 4, 62, 104, 90, 132, 34, 16, 2], [4, 4, 63, 98, 105, 112, 49, 10, 3], [4, 4, 64, 92, 120, 92, 64, 4, 4], [4, 5, 55, 125, 55, 167, 13, 23, 1], [4, 5, 56, 119, 70, 147, 28, 17, 2], [4, 5, 57, 113, 85, 127, 43, 11, 3], [4, 5, 58, 107, 100, 107, 58, 5, 4], [4, 6, 49, 140, 35, 182, 7, 24, 1], [4, 6, 50, 134, 50, 162, 22, 18, 2], [4, 6, 51, 128, 65, 142, 37, 12, 3], [4, 6, 52, 122, 80, 122, 52, 6, 4], [4, 6, 53, 116, 95, 102, 67, 0, 5], [4, 7, 43, 155, 15, 197, 1, 25, 1], [4, 7, 44, 149, 30, 177, 16, 19, 2], [4, 7, 45, 143, 45, 157, 31, 13, 3], [4, 7, 46, 137, 60, 137, 46, 7, 4], [4, 7, 47, 131, 75, 117, 61, 1, 5], [4, 8, 38, 164, 10, 192, 10, 20, 2], [4, 8, 39, 158, 25, 172, 25, 14, 3], [4, 8, 40, 152, 40, 152, 40, 8, 4], [4, 8, 41, 146, 55, 132, 55, 2, 5], [4, 9, 33, 173, 5, 187, 19, 15, 3], [4, 9, 34, 167, 20, 167, 34, 9, 4], [4, 9, 35, 161, 35, 147, 49, 3, 5], [4, 10, 28, 182, 0, 182, 28, 10, 4], [4, 10, 29, 176, 15, 162, 43, 4, 5], [5, 0, 64, 120, 50, 176, 8, 24, 1], [5, 0, 65, 114, 65, 156, 23, 18, 2], [5, 0, 66, 108, 80, 136, 38, 12, 3], [5, 0, 67, 102, 95, 116, 53, 6, 4], [5, 0, 68, 96, 110, 96, 68, 0, 5], [5, 1, 58, 135, 30, 191, 2, 25, 1], [5, 1, 59, 129, 45, 171, 17, 19, 2], [5, 1, 60, 123, 60, 151, 32, 13, 3], [5, 1, 61, 117, 75, 131, 47, 7, 4], [5, 1, 62, 111, 90, 111, 62, 1, 5], [5, 2, 53, 144, 25, 186, 11, 20, 2], [5, 2, 54, 138, 40, 166, 26, 14, 3], [5, 2, 55, 132, 55, 146, 41, 8, 4], [5, 2, 56, 126, 70, 126, 56, 2, 5], [5, 3, 47, 159, 5, 201, 5, 21, 2], [5, 3, 48, 153, 20, 181, 20, 15, 3], [5, 3, 49, 147, 35, 161, 35, 9, 4], [5, 3, 50, 141, 50, 141, 50, 3, 5], [5, 4, 42, 168, 0, 196, 14, 16, 3], [5, 4, 43, 162, 15, 176, 29, 10, 4], [5, 4, 44, 156, 30, 156, 44, 4, 5], [5, 5, 38, 171, 10, 171, 38, 5, 5], [5, 6, 33, 180, 5, 166, 47, 0, 6], [6, 0, 47, 166, 5, 180, 33, 6, 5], [6, 0, 48, 160, 20, 160, 48, 0, 6], [6, 1, 42, 175, 0, 175, 42, 1, 6]}
(9, 448, 5) has 987 possible DDs: {[1, 0, 68, 12, 138, 152, 12, 60, 5, 0], [1, 0, 69, 6, 153, 132, 27, 54, 6, 0], [1, 0, 69, 7, 147, 147, 7, 69, 0, 1], [1, 0, 70, 0, 168, 112, 42, 48, 7, 0], [1, 0, 70, 1, 162, 127, 22, 63, 1, 1], [1, 1, 62, 27, 118, 167, 6, 61, 5, 0], [1, 1, 63, 21, 133, 147, 21, 55, 6, 0], [1, 1, 63, 22, 127, 162, 1, 70, 0, 1], [1, 1, 64, 15, 148, 127, 36, 49, 7, 0], [1, 1, 64, 16, 142, 142, 16, 64, 1, 1], [1, 1, 65, 9, 163, 107, 51, 43, 8, 0], [1, 1, 65, 10, 157, 122, 31, 58, 2, 1], [1, 1, 66, 3, 178, 87, 66, 37, 9, 0], [1, 1, 66, 4, 172, 102, 46, 52, 3, 1], [1, 2, 56, 42, 98, 182, 0, 62, 5, 0], [1, 2, 57, 36, 113, 162, 15, 56, 6, 0], [1, 2, 58, 30, 128, 142, 30, 50, 7, 0], [1, 2, 58, 31, 122, 157, 10, 65, 1, 1], [1, 2, 59, 24, 143, 122, 45, 44, 8, 0], [1, 2, 59, 25, 137, 137, 25, 59, 2, 1], [1, 2, 60, 18, 158, 102, 60, 38, 9, 0], [1, 2, 60, 19, 152, 117, 40, 53, 3, 1], [1, 2, 61, 12, 173, 82, 75, 32, 10, 0], [1, 2, 61, 13, 167, 97, 55, 47, 4, 1], [1, 2, 62, 6, 188, 62, 90, 26, 11, 0], [1, 2, 62, 7, 182, 77, 70, 41, 5, 1], [1, 2, 63, 0, 203, 42, 105, 20, 12, 0], [1, 2, 63, 1, 197, 57, 85, 35, 6, 1], [1, 2, 63, 2, 191, 72, 65, 50, 0, 2], [1, 3, 51, 51, 93, 177, 9, 57, 6, 0], [1, 3, 52, 45, 108, 157, 24, 51, 7, 0], [1, 3, 52, 46, 102, 172, 4, 66, 1, 1], [1, 3, 53, 39, 123, 137, 39, 45, 8, 0], [1, 3, 53, 40, 117, 152, 19, 60, 2, 1], [1, 3, 54, 33, 138, 117, 54, 39, 9, 0], [1, 3, 54, 34, 132, 132, 34, 54, 3, 1], [1, 3, 55, 27, 153, 97, 69, 33, 10, 0], [1, 3, 55, 28, 147, 112, 49, 48, 4, 1], [1, 3, 56, 21, 168, 77, 84, 27, 11, 0], [1, 3, 56, 22, 162, 92, 64, 42, 5, 1], [1, 3, 57, 15, 183, 57, 99, 21, 12, 0], [1, 3, 57, 16, 177, 72, 79, 36, 6, 1], [1, 3, 57, 17, 171, 87, 59, 51, 0, 2], [1, 3, 58, 9, 198, 37, 114, 15, 13, 0], [1, 3, 58, 10, 192, 52, 94, 30, 7, 1], [1, 3, 58, 11, 186, 67, 74, 45, 1, 2], [1, 3, 59, 3, 213, 17, 129, 9, 14, 0], [1, 3, 59, 4, 207, 32, 109, 24, 8, 1], [1, 3, 59, 5, 201, 47, 89, 39, 2, 2], [1, 4, 45, 66, 73, 192, 3, 58, 6, 0], 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[3, 1, 30, 109, 46, 165, 46, 43, 3, 2], [3, 1, 31, 101, 73, 115, 101, 7, 16, 0], [3, 1, 31, 102, 67, 130, 81, 22, 10, 1], [3, 1, 31, 103, 61, 145, 61, 37, 4, 2], [3, 1, 32, 95, 88, 95, 116, 1, 17, 0], [3, 1, 32, 96, 82, 110, 96, 16, 11, 1], [3, 1, 32, 97, 76, 125, 76, 31, 5, 2], [3, 1, 33, 90, 97, 90, 111, 10, 12, 1], [3, 1, 33, 91, 91, 105, 91, 25, 6, 2], [3, 1, 33, 92, 85, 120, 71, 40, 0, 3], [3, 1, 34, 84, 112, 70, 126, 4, 13, 1], [3, 1, 34, 85, 106, 85, 106, 19, 7, 2], [3, 1, 34, 86, 100, 100, 86, 34, 1, 3], [3, 1, 35, 79, 121, 65, 121, 13, 8, 2], [3, 1, 35, 80, 115, 80, 101, 28, 2, 3], [3, 1, 36, 73, 136, 45, 136, 7, 9, 2], [3, 1, 36, 74, 130, 60, 116, 22, 3, 3], [3, 1, 37, 67, 151, 25, 151, 1, 10, 2], [3, 1, 37, 68, 145, 40, 131, 16, 4, 3], [3, 1, 38, 62, 160, 20, 146, 10, 5, 3], [3, 1, 39, 56, 175, 0, 161, 4, 6, 3], [3, 1, 39, 57, 169, 15, 141, 19, 0, 4], [3, 2, 22, 134, 8, 190, 50, 26, 13, 0], [3, 2, 22, 135, 2, 205, 30, 41, 7, 1], [3, 2, 23, 128, 23, 170, 65, 20, 14, 0], [3, 2, 23, 129, 17, 185, 45, 35, 8, 1], [3, 2, 23, 130, 11, 200, 25, 50, 2, 2], [3, 2, 24, 122, 38, 150, 80, 14, 15, 0], [3, 2, 24, 123, 32, 165, 60, 29, 9, 1], [3, 2, 24, 124, 26, 180, 40, 44, 3, 2], [3, 2, 25, 116, 53, 130, 95, 8, 16, 0], [3, 2, 25, 117, 47, 145, 75, 23, 10, 1], [3, 2, 25, 118, 41, 160, 55, 38, 4, 2], [3, 2, 26, 110, 68, 110, 110, 2, 17, 0], [3, 2, 26, 111, 62, 125, 90, 17, 11, 1], [3, 2, 26, 112, 56, 140, 70, 32, 5, 2], [3, 2, 27, 105, 77, 105, 105, 11, 12, 1], [3, 2, 27, 106, 71, 120, 85, 26, 6, 2], [3, 2, 27, 107, 65, 135, 65, 41, 0, 3], [3, 2, 28, 99, 92, 85, 120, 5, 13, 1], [3, 2, 28, 100, 86, 100, 100, 20, 7, 2], [3, 2, 28, 101, 80, 115, 80, 35, 1, 3], [3, 2, 29, 94, 101, 80, 115, 14, 8, 2], [3, 2, 29, 95, 95, 95, 95, 29, 2, 3], [3, 2, 30, 88, 116, 60, 130, 8, 9, 2], [3, 2, 30, 89, 110, 75, 110, 23, 3, 3], [3, 2, 31, 82, 131, 40, 145, 2, 10, 2], [3, 2, 31, 83, 125, 55, 125, 17, 4, 3], [3, 2, 32, 77, 140, 35, 140, 11, 5, 3], [3, 2, 33, 71, 155, 15, 155, 5, 6, 3], [3, 2, 33, 72, 149, 30, 135, 20, 0, 4], [3, 2, 34, 66, 164, 10, 150, 14, 1, 4], [3, 3, 17, 143, 3, 185, 59, 21, 14, 0], [3, 3, 18, 137, 18, 165, 74, 15, 15, 0], [3, 3, 18, 138, 12, 180, 54, 30, 9, 1], [3, 3, 18, 139, 6, 195, 34, 45, 3, 2], [3, 3, 19, 131, 33, 145, 89, 9, 16, 0], [3, 3, 19, 132, 27, 160, 69, 24, 10, 1], [3, 3, 19, 133, 21, 175, 49, 39, 4, 2], [3, 3, 20, 125, 48, 125, 104, 3, 17, 0], [3, 3, 20, 126, 42, 140, 84, 18, 11, 1], [3, 3, 20, 127, 36, 155, 64, 33, 5, 2], [3, 3, 21, 120, 57, 120, 99, 12, 12, 1], [3, 3, 21, 121, 51, 135, 79, 27, 6, 2], [3, 3, 21, 122, 45, 150, 59, 42, 0, 3], [3, 3, 22, 114, 72, 100, 114, 6, 13, 1], [3, 3, 22, 115, 66, 115, 94, 21, 7, 2], [3, 3, 22, 116, 60, 130, 74, 36, 1, 3], [3, 3, 23, 108, 87, 80, 129, 0, 14, 1], [3, 3, 23, 109, 81, 95, 109, 15, 8, 2], [3, 3, 23, 110, 75, 110, 89, 30, 2, 3], [3, 3, 24, 103, 96, 75, 124, 9, 9, 2], [3, 3, 24, 104, 90, 90, 104, 24, 3, 3], [3, 3, 25, 97, 111, 55, 139, 3, 10, 2], [3, 3, 25, 98, 105, 70, 119, 18, 4, 3], [3, 3, 26, 92, 120, 50, 134, 12, 5, 3], [3, 3, 27, 86, 135, 30, 149, 6, 6, 3], [3, 3, 27, 87, 129, 45, 129, 21, 0, 4], [3, 3, 28, 80, 150, 10, 164, 0, 7, 3], [3, 3, 28, 81, 144, 25, 144, 15, 1, 4], [3, 3, 29, 75, 159, 5, 159, 9, 2, 4], [3, 4, 13, 146, 13, 160, 83, 10, 16, 0], [3, 4, 13, 147, 7, 175, 63, 25, 10, 1], [3, 4, 13, 148, 1, 190, 43, 40, 4, 2], [3, 4, 14, 140, 28, 140, 98, 4, 17, 0], [3, 4, 14, 141, 22, 155, 78, 19, 11, 1], [3, 4, 14, 142, 16, 170, 58, 34, 5, 2], [3, 4, 15, 135, 37, 135, 93, 13, 12, 1], [3, 4, 15, 136, 31, 150, 73, 28, 6, 2], [3, 4, 15, 137, 25, 165, 53, 43, 0, 3], [3, 4, 16, 129, 52, 115, 108, 7, 13, 1], [3, 4, 16, 130, 46, 130, 88, 22, 7, 2], [3, 4, 16, 131, 40, 145, 68, 37, 1, 3], [3, 4, 17, 123, 67, 95, 123, 1, 14, 1], [3, 4, 17, 124, 61, 110, 103, 16, 8, 2], [3, 4, 17, 125, 55, 125, 83, 31, 2, 3], [3, 4, 18, 118, 76, 90, 118, 10, 9, 2], [3, 4, 18, 119, 70, 105, 98, 25, 3, 3], [3, 4, 19, 112, 91, 70, 133, 4, 10, 2], [3, 4, 19, 113, 85, 85, 113, 19, 4, 3], [3, 4, 20, 107, 100, 65, 128, 13, 5, 3], [3, 4, 21, 101, 115, 45, 143, 7, 6, 3], [3, 4, 21, 102, 109, 60, 123, 22, 0, 4], [3, 4, 22, 95, 130, 25, 158, 1, 7, 3], [3, 4, 22, 96, 124, 40, 138, 16, 1, 4], [3, 4, 23, 90, 139, 20, 153, 10, 2, 4], [3, 4, 24, 84, 154, 0, 168, 4, 3, 4], [3, 5, 8, 155, 8, 155, 92, 5, 17, 0], [3, 5, 8, 156, 2, 170, 72, 20, 11, 1], [3, 5, 9, 150, 17, 150, 87, 14, 12, 1], [3, 5, 9, 151, 11, 165, 67, 29, 6, 2], [3, 5, 9, 152, 5, 180, 47, 44, 0, 3], [3, 5, 10, 144, 32, 130, 102, 8, 13, 1], [3, 5, 10, 145, 26, 145, 82, 23, 7, 2], [3, 5, 10, 146, 20, 160, 62, 38, 1, 3], [3, 5, 11, 138, 47, 110, 117, 2, 14, 1], [3, 5, 11, 139, 41, 125, 97, 17, 8, 2], [3, 5, 11, 140, 35, 140, 77, 32, 2, 3], [3, 5, 12, 133, 56, 105, 112, 11, 9, 2], [3, 5, 12, 134, 50, 120, 92, 26, 3, 3], [3, 5, 13, 127, 71, 85, 127, 5, 10, 2], [3, 5, 13, 128, 65, 100, 107, 20, 4, 3], [3, 5, 14, 122, 80, 80, 122, 14, 5, 3], [3, 5, 15, 116, 95, 60, 137, 8, 6, 3], [3, 5, 15, 117, 89, 75, 117, 23, 0, 4], [3, 5, 16, 110, 110, 40, 152, 2, 7, 3], [3, 5, 16, 111, 104, 55, 132, 17, 1, 4], [3, 5, 17, 105, 119, 35, 147, 11, 2, 4], [3, 5, 18, 99, 134, 15, 162, 5, 3, 4], [3, 6, 3, 164, 3, 150, 101, 0, 18, 0], [3, 6, 4, 159, 12, 145, 96, 9, 13, 1], [3, 6, 4, 160, 6, 160, 76, 24, 7, 2], [3, 6, 4, 161, 0, 175, 56, 39, 1, 3], [3, 6, 5, 153, 27, 125, 111, 3, 14, 1], [3, 6, 5, 154, 21, 140, 91, 18, 8, 2], [3, 6, 5, 155, 15, 155, 71, 33, 2, 3], [3, 6, 6, 148, 36, 120, 106, 12, 9, 2], [3, 6, 6, 149, 30, 135, 86, 27, 3, 3], [3, 6, 7, 142, 51, 100, 121, 6, 10, 2], [3, 6, 7, 143, 45, 115, 101, 21, 4, 3], [3, 6, 8, 136, 66, 80, 136, 0, 11, 2], [3, 6, 8, 137, 60, 95, 116, 15, 5, 3], [3, 6, 9, 131, 75, 75, 131, 9, 6, 3], [3, 6, 9, 132, 69, 90, 111, 24, 0, 4], [3, 6, 10, 125, 90, 55, 146, 3, 7, 3], [3, 6, 10, 126, 84, 70, 126, 18, 1, 4], [3, 6, 11, 120, 99, 50, 141, 12, 2, 4], [3, 6, 12, 114, 114, 30, 156, 6, 3, 4], [3, 6, 13, 108, 129, 10, 171, 0, 4, 4], [3, 7, 0, 163, 16, 135, 100, 13, 9, 2], [3, 7, 0, 164, 10, 150, 80, 28, 3, 3], [3, 7, 1, 157, 31, 115, 115, 7, 10, 2], [3, 7, 1, 158, 25, 130, 95, 22, 4, 3], [3, 7, 2, 151, 46, 95, 130, 1, 11, 2], [3, 7, 2, 152, 40, 110, 110, 16, 5, 3], [3, 7, 3, 146, 55, 90, 125, 10, 6, 3], [3, 7, 3, 147, 49, 105, 105, 25, 0, 4], [3, 7, 4, 140, 70, 70, 140, 4, 7, 3], [3, 7, 4, 141, 64, 85, 120, 19, 1, 4], [3, 7, 5, 135, 79, 65, 135, 13, 2, 4], [3, 7, 6, 129, 94, 45, 150, 7, 3, 4], [3, 7, 7, 123, 109, 25, 165, 1, 4, 4], [3, 7, 9, 112, 133, 0, 175, 4, 0, 5], [3, 8, 0, 144, 74, 60, 144, 8, 3, 4], [3, 8, 1, 138, 89, 40, 159, 2, 4, 4], [3, 8, 3, 127, 113, 15, 169, 5, 0, 5], [4, 0, 17, 150, 3, 164, 87, 6, 17, 0], [4, 0, 18, 144, 18, 144, 102, 0, 18, 0], [4, 0, 18, 145, 12, 159, 82, 15, 12, 1], [4, 0, 18, 146, 6, 174, 62, 30, 6, 2], [4, 0, 18, 147, 0, 189, 42, 45, 0, 3], [4, 0, 19, 139, 27, 139, 97, 9, 13, 1], [4, 0, 19, 140, 21, 154, 77, 24, 7, 2], [4, 0, 19, 141, 15, 169, 57, 39, 1, 3], [4, 0, 20, 133, 42, 119, 112, 3, 14, 1], [4, 0, 20, 134, 36, 134, 92, 18, 8, 2], [4, 0, 20, 135, 30, 149, 72, 33, 2, 3], [4, 0, 21, 128, 51, 114, 107, 12, 9, 2], [4, 0, 21, 129, 45, 129, 87, 27, 3, 3], [4, 0, 22, 122, 66, 94, 122, 6, 10, 2], [4, 0, 22, 123, 60, 109, 102, 21, 4, 3], [4, 0, 23, 116, 81, 74, 137, 0, 11, 2], [4, 0, 23, 117, 75, 89, 117, 15, 5, 3], [4, 0, 24, 111, 90, 69, 132, 9, 6, 3], [4, 0, 24, 112, 84, 84, 112, 24, 0, 4], [4, 0, 25, 105, 105, 49, 147, 3, 7, 3], [4, 0, 25, 106, 99, 64, 127, 18, 1, 4], [4, 0, 26, 100, 114, 44, 142, 12, 2, 4], [4, 0, 27, 94, 129, 24, 157, 6, 3, 4], [4, 0, 28, 88, 144, 4, 172, 0, 4, 4], [4, 1, 13, 154, 7, 154, 91, 10, 13, 1], [4, 1, 13, 155, 1, 169, 71, 25, 7, 2], [4, 1, 14, 148, 22, 134, 106, 4, 14, 1], [4, 1, 14, 149, 16, 149, 86, 19, 8, 2], [4, 1, 14, 150, 10, 164, 66, 34, 2, 3], [4, 1, 15, 143, 31, 129, 101, 13, 9, 2], [4, 1, 15, 144, 25, 144, 81, 28, 3, 3], [4, 1, 16, 137, 46, 109, 116, 7, 10, 2], [4, 1, 16, 138, 40, 124, 96, 22, 4, 3], [4, 1, 17, 131, 61, 89, 131, 1, 11, 2], [4, 1, 17, 132, 55, 104, 111, 16, 5, 3], [4, 1, 18, 126, 70, 84, 126, 10, 6, 3], [4, 1, 18, 127, 64, 99, 106, 25, 0, 4], [4, 1, 19, 120, 85, 64, 141, 4, 7, 3], [4, 1, 19, 121, 79, 79, 121, 19, 1, 4], [4, 1, 20, 115, 94, 59, 136, 13, 2, 4], [4, 1, 21, 109, 109, 39, 151, 7, 3, 4], [4, 1, 22, 103, 124, 19, 166, 1, 4, 4], [4, 2, 8, 163, 2, 149, 100, 5, 14, 1], [4, 2, 9, 158, 11, 144, 95, 14, 9, 2], [4, 2, 9, 159, 5, 159, 75, 29, 3, 3], [4, 2, 10, 152, 26, 124, 110, 8, 10, 2], [4, 2, 10, 153, 20, 139, 90, 23, 4, 3], [4, 2, 11, 146, 41, 104, 125, 2, 11, 2], [4, 2, 11, 147, 35, 119, 105, 17, 5, 3], [4, 2, 12, 141, 50, 99, 120, 11, 6, 3], [4, 2, 12, 142, 44, 114, 100, 26, 0, 4], [4, 2, 13, 135, 65, 79, 135, 5, 7, 3], [4, 2, 13, 136, 59, 94, 115, 20, 1, 4], [4, 2, 14, 130, 74, 74, 130, 14, 2, 4], [4, 2, 15, 124, 89, 54, 145, 8, 3, 4], [4, 2, 16, 118, 104, 34, 160, 2, 4, 4], [4, 2, 18, 107, 128, 9, 170, 5, 0, 5], [4, 3, 4, 167, 6, 139, 104, 9, 10, 2], [4, 3, 4, 168, 0, 154, 84, 24, 4, 3], [4, 3, 5, 161, 21, 119, 119, 3, 11, 2], [4, 3, 5, 162, 15, 134, 99, 18, 5, 3], [4, 3, 6, 156, 30, 114, 114, 12, 6, 3], [4, 3, 6, 157, 24, 129, 94, 27, 0, 4], [4, 3, 7, 150, 45, 94, 129, 6, 7, 3], [4, 3, 7, 151, 39, 109, 109, 21, 1, 4], [4, 3, 8, 144, 60, 74, 144, 0, 8, 3], [4, 3, 8, 145, 54, 89, 124, 15, 2, 4], [4, 3, 9, 139, 69, 69, 139, 9, 3, 4], [4, 3, 10, 133, 84, 49, 154, 3, 4, 4], [4, 3, 12, 122, 108, 24, 164, 6, 0, 5], [4, 3, 13, 116, 123, 4, 179, 0, 1, 5], [4, 4, 0, 171, 10, 129, 108, 13, 6, 3], [4, 4, 0, 172, 4, 144, 88, 28, 0, 4], [4, 4, 1, 165, 25, 109, 123, 7, 7, 3], [4, 4, 1, 166, 19, 124, 103, 22, 1, 4], [4, 4, 2, 159, 40, 89, 138, 1, 8, 3], [4, 4, 2, 160, 34, 104, 118, 16, 2, 4], [4, 4, 3, 154, 49, 84, 133, 10, 3, 4], [4, 4, 4, 148, 64, 64, 148, 4, 4, 4], [4, 4, 6, 137, 88, 39, 158, 7, 0, 5], [4, 4, 7, 131, 103, 19, 173, 1, 1, 5], [4, 5, 0, 152, 68, 54, 152, 8, 0, 5], [4, 5, 1, 146, 83, 34, 167, 2, 1, 5], [5, 0, 4, 175, 0, 133, 112, 9, 7, 3], [5, 0, 5, 169, 15, 113, 127, 3, 8, 3], [5, 0, 5, 170, 9, 128, 107, 18, 2, 4], [5, 0, 6, 164, 24, 108, 122, 12, 3, 4], [5, 0, 7, 158, 39, 88, 137, 6, 4, 4], [5, 0, 8, 152, 54, 68, 152, 0, 5, 4], [5, 0, 9, 147, 63, 63, 147, 9, 0, 5], [5, 0, 10, 141, 78, 43, 162, 3, 1, 5], [5, 1, 0, 179, 4, 123, 116, 13, 3, 4], [5, 1, 1, 173, 19, 103, 131, 7, 4, 4], [5, 1, 2, 167, 34, 83, 146, 1, 5, 4], [5, 1, 3, 162, 43, 78, 141, 10, 0, 5], [5, 1, 4, 156, 58, 58, 156, 4, 1, 5]}
(10, 448, 5) has 2584 possible DDs: {[1, 0, 24, 80, 10, 192, 80, 16, 45, 0, 0], [1, 0, 24, 81, 4, 207, 60, 31, 39, 1, 0], [1, 0, 25, 74, 25, 172, 95, 10, 46, 0, 0], [1, 0, 25, 75, 19, 187, 75, 25, 40, 1, 0], [1, 0, 25, 76, 13, 202, 55, 40, 34, 2, 0], [1, 0, 25, 77, 7, 217, 35, 55, 28, 3, 0], [1, 0, 25, 78, 1, 232, 15, 70, 22, 4, 0], [1, 0, 26, 68, 40, 152, 110, 4, 47, 0, 0], [1, 0, 26, 69, 34, 167, 90, 19, 41, 1, 0], [1, 0, 26, 70, 28, 182, 70, 34, 35, 2, 0], [1, 0, 26, 71, 22, 197, 50, 49, 29, 3, 0], [1, 0, 26, 72, 16, 212, 30, 64, 23, 4, 0], [1, 0, 26, 73, 10, 227, 10, 79, 17, 5, 0], [1, 0, 26, 74, 5, 236, 5, 74, 26, 0, 1], [1, 0, 27, 63, 49, 147, 105, 13, 42, 1, 0], [1, 0, 27, 64, 43, 162, 85, 28, 36, 2, 0], [1, 0, 27, 65, 37, 177, 65, 43, 30, 3, 0], [1, 0, 27, 66, 31, 192, 45, 58, 24, 4, 0], [1, 0, 27, 67, 25, 207, 25, 73, 18, 5, 0], [1, 0, 27, 68, 19, 222, 5, 88, 12, 6, 0], [1, 0, 27, 68, 20, 216, 20, 68, 27, 0, 1], [1, 0, 27, 69, 14, 231, 0, 83, 21, 1, 1], [1, 0, 28, 57, 64, 127, 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147, 49, 95, 6, 0, 3], [3, 1, 0, 110, 29, 162, 29, 110, 0, 1, 3], [3, 1, 1, 94, 101, 10, 199, 14, 16, 9, 0], [3, 1, 1, 95, 95, 25, 179, 29, 10, 10, 0], [3, 1, 1, 95, 96, 19, 194, 9, 25, 4, 1], [3, 1, 1, 96, 89, 40, 159, 44, 4, 11, 0], [3, 1, 1, 96, 90, 34, 174, 24, 19, 5, 1], [3, 1, 1, 97, 84, 49, 154, 39, 13, 6, 1], [3, 1, 1, 97, 85, 43, 169, 19, 28, 0, 2], [3, 1, 1, 98, 78, 64, 134, 54, 7, 7, 1], [3, 1, 1, 98, 79, 58, 149, 34, 22, 1, 2], [3, 1, 1, 99, 72, 79, 114, 69, 1, 8, 1], [3, 1, 1, 99, 73, 73, 129, 49, 16, 2, 2], [3, 1, 1, 100, 67, 88, 109, 64, 10, 3, 2], [3, 1, 1, 101, 61, 103, 89, 79, 4, 4, 2], [3, 1, 1, 103, 50, 127, 64, 89, 7, 0, 3], [3, 1, 1, 104, 44, 142, 44, 104, 1, 1, 3], [3, 1, 2, 89, 110, 5, 194, 23, 11, 10, 0], [3, 1, 2, 90, 104, 20, 174, 38, 5, 11, 0], [3, 1, 2, 90, 105, 14, 189, 18, 20, 5, 1], [3, 1, 2, 91, 99, 29, 169, 33, 14, 6, 1], [3, 1, 2, 91, 100, 23, 184, 13, 29, 0, 2], [3, 1, 2, 92, 93, 44, 149, 48, 8, 7, 1], [3, 1, 2, 92, 94, 38, 164, 28, 23, 1, 2], [3, 1, 2, 93, 87, 59, 129, 63, 2, 8, 1], [3, 1, 2, 93, 88, 53, 144, 43, 17, 2, 2], [3, 1, 2, 94, 82, 68, 124, 58, 11, 3, 2], [3, 1, 2, 95, 76, 83, 104, 73, 5, 4, 2], [3, 1, 2, 97, 65, 107, 79, 83, 8, 0, 3], [3, 1, 2, 98, 59, 122, 59, 98, 2, 1, 3], [3, 1, 3, 84, 119, 0, 189, 32, 6, 11, 0], [3, 1, 3, 85, 113, 15, 169, 47, 0, 12, 0], [3, 1, 3, 85, 114, 9, 184, 27, 15, 6, 1], [3, 1, 3, 85, 115, 3, 199, 7, 30, 0, 2], [3, 1, 3, 86, 108, 24, 164, 42, 9, 7, 1], [3, 1, 3, 86, 109, 18, 179, 22, 24, 1, 2], [3, 1, 3, 87, 102, 39, 144, 57, 3, 8, 1], [3, 1, 3, 87, 103, 33, 159, 37, 18, 2, 2], [3, 1, 3, 88, 97, 48, 139, 52, 12, 3, 2], [3, 1, 3, 89, 91, 63, 119, 67, 6, 4, 2], [3, 1, 3, 90, 85, 78, 99, 82, 0, 5, 2], [3, 1, 3, 91, 80, 87, 94, 77, 9, 0, 3], [3, 1, 3, 92, 74, 102, 74, 92, 3, 1, 3], [3, 1, 4, 80, 123, 4, 179, 36, 10, 7, 1], [3, 1, 4, 81, 117, 19, 159, 51, 4, 8, 1], [3, 1, 4, 81, 118, 13, 174, 31, 19, 2, 2], [3, 1, 4, 82, 112, 28, 154, 46, 13, 3, 2], [3, 1, 4, 83, 106, 43, 134, 61, 7, 4, 2], [3, 1, 4, 84, 100, 58, 114, 76, 1, 5, 2], [3, 1, 4, 85, 95, 67, 109, 71, 10, 0, 3], [3, 1, 4, 86, 89, 82, 89, 86, 4, 1, 3], [3, 1, 5, 76, 127, 8, 169, 40, 14, 3, 2], [3, 1, 5, 77, 121, 23, 149, 55, 8, 4, 2], [3, 1, 5, 78, 115, 38, 129, 70, 2, 5, 2], [3, 1, 5, 79, 110, 47, 124, 65, 11, 0, 3], [3, 1, 5, 80, 104, 62, 104, 80, 5, 1, 3], [3, 1, 6, 71, 136, 3, 164, 49, 9, 4, 2], [3, 1, 6, 72, 130, 18, 144, 64, 3, 5, 2], [3, 1, 6, 73, 125, 27, 139, 59, 12, 0, 3], [3, 1, 6, 74, 119, 42, 119, 74, 6, 1, 3], [3, 1, 6, 75, 113, 57, 99, 89, 0, 2, 3], [3, 1, 7, 67, 140, 7, 154, 53, 13, 0, 3], [3, 1, 7, 68, 134, 22, 134, 68, 7, 1, 3], [3, 1, 7, 69, 128, 37, 114, 83, 1, 2, 3], [3, 1, 8, 62, 149, 2, 149, 62, 8, 1, 3], [3, 1, 8, 63, 143, 17, 129, 77, 2, 2, 3], [3, 2, 0, 85, 121, 9, 163, 55, 0, 9, 1], [3, 2, 0, 85, 122, 3, 178, 35, 15, 3, 2], [3, 2, 0, 86, 116, 18, 158, 50, 9, 4, 2], [3, 2, 0, 87, 110, 33, 138, 65, 3, 5, 2], [3, 2, 0, 88, 105, 42, 133, 60, 12, 0, 3], [3, 2, 0, 89, 99, 57, 113, 75, 6, 1, 3], [3, 2, 0, 90, 93, 72, 93, 90, 0, 2, 3], [3, 2, 1, 81, 125, 13, 153, 59, 4, 5, 2], [3, 2, 1, 82, 120, 22, 148, 54, 13, 0, 3], [3, 2, 1, 83, 114, 37, 128, 69, 7, 1, 3], [3, 2, 1, 84, 108, 52, 108, 84, 1, 2, 3], [3, 2, 2, 76, 135, 2, 163, 48, 14, 0, 3], [3, 2, 2, 77, 129, 17, 143, 63, 8, 1, 3], [3, 2, 2, 78, 123, 32, 123, 78, 2, 2, 3], [3, 2, 3, 72, 138, 12, 138, 72, 3, 2, 3], [4, 0, 0, 80, 140, 0, 140, 80, 0, 0, 4]}
(11, 448, 5) has 7024 possible DDs: {[1, 0, 3, 85, 1, 113, 169, 7, 50, 19, 0, 0], [1, 0, 4, 79, 16, 93, 184, 1, 51, 19, 0, 0], [1, 0, 4, 80, 10, 108, 164, 16, 45, 20, 0, 0], [1, 0, 4, 81, 4, 123, 144, 31, 39, 21, 0, 0], [1, 0, 4, 81, 5, 117, 159, 11, 54, 15, 1, 0], [1, 0, 4, 82, 0, 126, 154, 6, 63, 10, 2, 0], [1, 0, 5, 74, 25, 88, 179, 10, 46, 20, 0, 0], [1, 0, 5, 75, 19, 103, 159, 25, 40, 21, 0, 0], [1, 0, 5, 75, 20, 97, 174, 5, 55, 15, 1, 0], [1, 0, 5, 76, 13, 118, 139, 40, 34, 22, 0, 0], [1, 0, 5, 76, 14, 112, 154, 20, 49, 16, 1, 0], [1, 0, 5, 76, 15, 106, 169, 0, 64, 10, 2, 0], [1, 0, 5, 77, 7, 133, 119, 55, 28, 23, 0, 0], [1, 0, 5, 77, 8, 127, 134, 35, 43, 17, 1, 0], [1, 0, 5, 77, 9, 121, 149, 15, 58, 11, 2, 0], [1, 0, 5, 78, 1, 148, 99, 70, 22, 24, 0, 0], [1, 0, 5, 78, 2, 142, 114, 50, 37, 18, 1, 0], [1, 0, 5, 78, 3, 136, 129, 30, 52, 12, 2, 0], [1, 0, 5, 78, 4, 130, 144, 10, 67, 6, 3, 0], [1, 0, 6, 68, 40, 68, 194, 4, 47, 20, 0, 0], [1, 0, 6, 69, 34, 83, 174, 19, 41, 21, 0, 0], [1, 0, 6, 70, 28, 98, 154, 34, 35, 22, 0, 0], [1, 0, 6, 70, 29, 92, 169, 14, 50, 16, 1, 0], [1, 0, 6, 71, 22, 113, 134, 49, 29, 23, 0, 0], [1, 0, 6, 71, 23, 107, 149, 29, 44, 17, 1, 0], [1, 0, 6, 71, 24, 101, 164, 9, 59, 11, 2, 0], [1, 0, 6, 72, 16, 128, 114, 64, 23, 24, 0, 0], [1, 0, 6, 72, 17, 122, 129, 44, 38, 18, 1, 0], [1, 0, 6, 72, 18, 116, 144, 24, 53, 12, 2, 0], [1, 0, 6, 72, 19, 110, 159, 4, 68, 6, 3, 0], [1, 0, 6, 73, 10, 143, 94, 79, 17, 25, 0, 0], [1, 0, 6, 73, 11, 137, 109, 59, 32, 19, 1, 0], [1, 0, 6, 73, 12, 131, 124, 39, 47, 13, 2, 0], [1, 0, 6, 73, 13, 125, 139, 19, 62, 7, 3, 0], [1, 0, 6, 74, 4, 158, 74, 94, 11, 26, 0, 0], [1, 0, 6, 74, 5, 152, 89, 74, 26, 20, 1, 0], [1, 0, 6, 74, 6, 146, 104, 54, 41, 14, 2, 0], [1, 0, 6, 74, 7, 140, 119, 34, 56, 8, 3, 0], [1, 0, 6, 74, 8, 134, 134, 14, 71, 2, 4, 0], [1, 0, 6, 75, 0, 161, 84, 69, 35, 15, 2, 0], [1, 0, 6, 75, 1, 155, 99, 49, 50, 9, 3, 0], [1, 0, 6, 75, 2, 149, 114, 29, 65, 3, 4, 0], [1, 0, 6, 75, 4, 138, 138, 4, 75, 6, 0, 1], [1, 0, 7, 63, 49, 63, 189, 13, 42, 21, 0, 0], [1, 0, 7, 64, 43, 78, 169, 28, 36, 22, 0, 0], [1, 0, 7, 64, 44, 72, 184, 8, 51, 16, 1, 0], [1, 0, 7, 65, 37, 93, 149, 43, 30, 23, 0, 0], [1, 0, 7, 65, 38, 87, 164, 23, 45, 17, 1, 0], [1, 0, 7, 65, 39, 81, 179, 3, 60, 11, 2, 0], [1, 0, 7, 66, 31, 108, 129, 58, 24, 24, 0, 0], [1, 0, 7, 66, 32, 102, 144, 38, 39, 18, 1, 0], [1, 0, 7, 66, 33, 96, 159, 18, 54, 12, 2, 0], [1, 0, 7, 67, 25, 123, 109, 73, 18, 25, 0, 0], [1, 0, 7, 67, 26, 117, 124, 53, 33, 19, 1, 0], [1, 0, 7, 67, 27, 111, 139, 33, 48, 13, 2, 0], [1, 0, 7, 67, 28, 105, 154, 13, 63, 7, 3, 0], [1, 0, 7, 68, 19, 138, 89, 88, 12, 26, 0, 0], [1, 0, 7, 68, 20, 132, 104, 68, 27, 20, 1, 0], [1, 0, 7, 68, 21, 126, 119, 48, 42, 14, 2, 0], [1, 0, 7, 68, 22, 120, 134, 28, 57, 8, 3, 0], [1, 0, 7, 68, 23, 114, 149, 8, 72, 2, 4, 0], [1, 0, 7, 69, 13, 153, 69, 103, 6, 27, 0, 0], [1, 0, 7, 69, 14, 147, 84, 83, 21, 21, 1, 0], [1, 0, 7, 69, 15, 141, 99, 63, 36, 15, 2, 0], [1, 0, 7, 69, 16, 135, 114, 43, 51, 9, 3, 0], [1, 0, 7, 69, 17, 129, 129, 23, 66, 3, 4, 0], [1, 0, 7, 70, 7, 168, 49, 118, 0, 28, 0, 0], [1, 0, 7, 70, 8, 162, 64, 98, 15, 22, 1, 0], [1, 0, 7, 70, 9, 156, 79, 78, 30, 16, 2, 0], [1, 0, 7, 70, 10, 150, 94, 58, 45, 10, 3, 0], [1, 0, 7, 70, 11, 144, 109, 38, 60, 4, 4, 0], [1, 0, 7, 70, 13, 133, 133, 13, 70, 7, 0, 1], [1, 0, 7, 71, 2, 177, 44, 113, 9, 23, 1, 0], [1, 0, 7, 71, 3, 171, 59, 93, 24, 17, 2, 0], [1, 0, 7, 71, 4, 165, 74, 73, 39, 11, 3, 0], [1, 0, 7, 71, 5, 159, 89, 53, 54, 5, 4, 0], [1, 0, 7, 71, 7, 148, 113, 28, 64, 8, 0, 1], [1, 0, 7, 71, 8, 142, 128, 8, 79, 2, 1, 1], [1, 0, 7, 72, 0, 168, 84, 48, 63, 0, 5, 0], [1, 0, 7, 72, 1, 163, 93, 43, 58, 9, 0, 1], [1, 0, 7, 72, 2, 157, 108, 23, 73, 3, 1, 1], [1, 0, 8, 57, 64, 43, 204, 7, 43, 21, 0, 0], [1, 0, 8, 58, 58, 58, 184, 22, 37, 22, 0, 0], [1, 0, 8, 58, 59, 52, 199, 2, 52, 16, 1, 0], [1, 0, 8, 59, 52, 73, 164, 37, 31, 23, 0, 0], [1, 0, 8, 59, 53, 67, 179, 17, 46, 17, 1, 0], [1, 0, 8, 60, 46, 88, 144, 52, 25, 24, 0, 0], [1, 0, 8, 60, 47, 82, 159, 32, 40, 18, 1, 0], [1, 0, 8, 60, 48, 76, 174, 12, 55, 12, 2, 0], [1, 0, 8, 61, 40, 103, 124, 67, 19, 25, 0, 0], [1, 0, 8, 61, 41, 97, 139, 47, 34, 19, 1, 0], [1, 0, 8, 61, 42, 91, 154, 27, 49, 13, 2, 0], [1, 0, 8, 61, 43, 85, 169, 7, 64, 7, 3, 0], [1, 0, 8, 62, 34, 118, 104, 82, 13, 26, 0, 0], [1, 0, 8, 62, 35, 112, 119, 62, 28, 20, 1, 0], [1, 0, 8, 62, 36, 106, 134, 42, 43, 14, 2, 0], [1, 0, 8, 62, 37, 100, 149, 22, 58, 8, 3, 0], [1, 0, 8, 62, 38, 94, 164, 2, 73, 2, 4, 0], [1, 0, 8, 63, 28, 133, 84, 97, 7, 27, 0, 0], [1, 0, 8, 63, 29, 127, 99, 77, 22, 21, 1, 0], [1, 0, 8, 63, 30, 121, 114, 57, 37, 15, 2, 0], [1, 0, 8, 63, 31, 115, 129, 37, 52, 9, 3, 0], [1, 0, 8, 63, 32, 109, 144, 17, 67, 3, 4, 0], [1, 0, 8, 64, 22, 148, 64, 112, 1, 28, 0, 0], [1, 0, 8, 64, 23, 142, 79, 92, 16, 22, 1, 0], [1, 0, 8, 64, 24, 136, 94, 72, 31, 16, 2, 0], [1, 0, 8, 64, 25, 130, 109, 52, 46, 10, 3, 0], [1, 0, 8, 64, 26, 124, 124, 32, 61, 4, 4, 0], [1, 0, 8, 64, 28, 113, 148, 7, 71, 7, 0, 1], [1, 0, 8, 65, 17, 157, 59, 107, 10, 23, 1, 0], [1, 0, 8, 65, 18, 151, 74, 87, 25, 17, 2, 0], [1, 0, 8, 65, 19, 145, 89, 67, 40, 11, 3, 0], [1, 0, 8, 65, 20, 139, 104, 47, 55, 5, 4, 0], [1, 0, 8, 65, 22, 128, 128, 22, 65, 8, 0, 1], [1, 0, 8, 65, 23, 122, 143, 2, 80, 2, 1, 1], [1, 0, 8, 66, 11, 172, 39, 122, 4, 24, 1, 0], [1, 0, 8, 66, 12, 166, 54, 102, 19, 18, 2, 0], [1, 0, 8, 66, 13, 160, 69, 82, 34, 12, 3, 0], [1, 0, 8, 66, 14, 154, 84, 62, 49, 6, 4, 0], [1, 0, 8, 66, 15, 148, 99, 42, 64, 0, 5, 0], [1, 0, 8, 66, 16, 143, 108, 37, 59, 9, 0, 1], [1, 0, 8, 66, 17, 137, 123, 17, 74, 3, 1, 1], [1, 0, 8, 67, 6, 181, 34, 117, 13, 19, 2, 0], [1, 0, 8, 67, 7, 175, 49, 97, 28, 13, 3, 0], [1, 0, 8, 67, 8, 169, 64, 77, 43, 7, 4, 0], [1, 0, 8, 67, 9, 163, 79, 57, 58, 1, 5, 0], [1, 0, 8, 67, 10, 158, 88, 52, 53, 10, 0, 1], [1, 0, 8, 67, 11, 152, 103, 32, 68, 4, 1, 1], [1, 0, 8, 68, 0, 196, 14, 132, 7, 20, 2, 0], [1, 0, 8, 68, 1, 190, 29, 112, 22, 14, 3, 0], [1, 0, 8, 68, 2, 184, 44, 92, 37, 8, 4, 0], [1, 0, 8, 68, 3, 178, 59, 72, 52, 2, 5, 0], [1, 0, 8, 68, 4, 173, 68, 67, 47, 11, 0, 1], [1, 0, 8, 68, 5, 167, 83, 47, 62, 5, 1, 1], [1, 0, 8, 69, 0, 176, 78, 42, 71, 0, 2, 1], [1, 0, 9, 51, 79, 23, 219, 1, 44, 21, 0, 0], [1, 0, 9, 52, 73, 38, 199, 16, 38, 22, 0, 0], [1, 0, 9, 53, 67, 53, 179, 31, 32, 23, 0, 0], [1, 0, 9, 53, 68, 47, 194, 11, 47, 17, 1, 0], [1, 0, 9, 54, 61, 68, 159, 46, 26, 24, 0, 0], [1, 0, 9, 54, 62, 62, 174, 26, 41, 18, 1, 0], [1, 0, 9, 54, 63, 56, 189, 6, 56, 12, 2, 0], [1, 0, 9, 55, 55, 83, 139, 61, 20, 25, 0, 0], [1, 0, 9, 55, 56, 77, 154, 41, 35, 19, 1, 0], [1, 0, 9, 55, 57, 71, 169, 21, 50, 13, 2, 0], [1, 0, 9, 55, 58, 65, 184, 1, 65, 7, 3, 0], [1, 0, 9, 56, 49, 98, 119, 76, 14, 26, 0, 0], [1, 0, 9, 56, 50, 92, 134, 56, 29, 20, 1, 0], [1, 0, 9, 56, 51, 86, 149, 36, 44, 14, 2, 0], [1, 0, 9, 56, 52, 80, 164, 16, 59, 8, 3, 0], [1, 0, 9, 57, 43, 113, 99, 91, 8, 27, 0, 0], [1, 0, 9, 57, 44, 107, 114, 71, 23, 21, 1, 0], [1, 0, 9, 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