-------
(10, 416, 5) ALL distance distributions for INTERNAL point
(5, 416, 5) has 1 possible DDs: {[13, 65, 130, 130, 65, 13]}
(6, 416, 5) has 13 possible DDs: {[1, 72, 15, 240, 15, 72, 1], [2, 66, 30, 220, 30, 66, 2], [3, 60, 45, 200, 45, 60, 3], [4, 54, 60, 180, 60, 54, 4], [5, 48, 75, 160, 75, 48, 5], [6, 42, 90, 140, 90, 42, 6], [7, 36, 105, 120, 105, 36, 7], [8, 30, 120, 100, 120, 30, 8], [9, 24, 135, 80, 135, 24, 9], [10, 18, 150, 60, 150, 18, 10], [11, 12, 165, 40, 165, 12, 11], [12, 6, 180, 20, 180, 6, 12], [13, 0, 195, 0, 195, 0, 13]}
(7, 416, 5) has 51 possible DDs: {[1, 33, 54, 110, 145, 33, 40, 0], [1, 34, 48, 125, 125, 48, 34, 1], [1, 35, 42, 140, 105, 63, 28, 2], [1, 36, 36, 155, 85, 78, 22, 3], [1, 37, 30, 170, 65, 93, 16, 4], [1, 38, 24, 185, 45, 108, 10, 5], [1, 39, 18, 200, 25, 123, 4, 6], [2, 27, 69, 90, 160, 27, 41, 0], [2, 28, 63, 105, 140, 42, 35, 1], [2, 29, 57, 120, 120, 57, 29, 2], [2, 30, 51, 135, 100, 72, 23, 3], [2, 31, 45, 150, 80, 87, 17, 4], [2, 32, 39, 165, 60, 102, 11, 5], [2, 33, 33, 180, 40, 117, 5, 6], [3, 21, 84, 70, 175, 21, 42, 0], [3, 22, 78, 85, 155, 36, 36, 1], [3, 23, 72, 100, 135, 51, 30, 2], [3, 24, 66, 115, 115, 66, 24, 3], [3, 25, 60, 130, 95, 81, 18, 4], [3, 26, 54, 145, 75, 96, 12, 5], [3, 27, 48, 160, 55, 111, 6, 6], [3, 28, 42, 175, 35, 126, 0, 7], [4, 15, 99, 50, 190, 15, 43, 0], [4, 16, 93, 65, 170, 30, 37, 1], [4, 17, 87, 80, 150, 45, 31, 2], [4, 18, 81, 95, 130, 60, 25, 3], [4, 19, 75, 110, 110, 75, 19, 4], [4, 20, 69, 125, 90, 90, 13, 5], [4, 21, 63, 140, 70, 105, 7, 6], [4, 22, 57, 155, 50, 120, 1, 7], [5, 9, 114, 30, 205, 9, 44, 0], [5, 10, 108, 45, 185, 24, 38, 1], [5, 11, 102, 60, 165, 39, 32, 2], [5, 12, 96, 75, 145, 54, 26, 3], [5, 13, 90, 90, 125, 69, 20, 4], [5, 14, 84, 105, 105, 84, 14, 5], [5, 15, 78, 120, 85, 99, 8, 6], [5, 16, 72, 135, 65, 114, 2, 7], [6, 3, 129, 10, 220, 3, 45, 0], [6, 4, 123, 25, 200, 18, 39, 1], [6, 5, 117, 40, 180, 33, 33, 2], [6, 6, 111, 55, 160, 48, 27, 3], [6, 7, 105, 70, 140, 63, 21, 4], [6, 8, 99, 85, 120, 78, 15, 5], [6, 9, 93, 100, 100, 93, 9, 6], [6, 10, 87, 115, 80, 108, 3, 7], [7, 0, 126, 35, 175, 42, 28, 3], [7, 1, 120, 50, 155, 57, 22, 4], [7, 2, 114, 65, 135, 72, 16, 5], [7, 3, 108, 80, 115, 87, 10, 6], [7, 4, 102, 95, 95, 102, 4, 7]}
(8, 416, 5) has 207 possible DDs: {[1, 10, 75, 12, 215, 26, 61, 16, 0], [1, 10, 76, 6, 230, 6, 76, 10, 1], [1, 11, 69, 27, 195, 41, 55, 17, 0], [1, 11, 70, 21, 210, 21, 70, 11, 1], [1, 11, 71, 15, 225, 1, 85, 5, 2], [1, 12, 63, 42, 175, 56, 49, 18, 0], [1, 12, 64, 36, 190, 36, 64, 12, 1], [1, 12, 65, 30, 205, 16, 79, 6, 2], [1, 13, 57, 57, 155, 71, 43, 19, 0], [1, 13, 58, 51, 170, 51, 58, 13, 1], [1, 13, 59, 45, 185, 31, 73, 7, 2], [1, 13, 60, 39, 200, 11, 88, 1, 3], [1, 14, 51, 72, 135, 86, 37, 20, 0], [1, 14, 52, 66, 150, 66, 52, 14, 1], [1, 14, 53, 60, 165, 46, 67, 8, 2], [1, 14, 54, 54, 180, 26, 82, 2, 3], [1, 15, 45, 87, 115, 101, 31, 21, 0], [1, 15, 46, 81, 130, 81, 46, 15, 1], [1, 15, 47, 75, 145, 61, 61, 9, 2], [1, 15, 48, 69, 160, 41, 76, 3, 3], [1, 16, 39, 102, 95, 116, 25, 22, 0], [1, 16, 40, 96, 110, 96, 40, 16, 1], [1, 16, 41, 90, 125, 76, 55, 10, 2], [1, 16, 42, 84, 140, 56, 70, 4, 3], [1, 17, 33, 117, 75, 131, 19, 23, 0], [1, 17, 34, 111, 90, 111, 34, 17, 1], [1, 17, 35, 105, 105, 91, 49, 11, 2], [1, 17, 36, 99, 120, 71, 64, 5, 3], [1, 18, 27, 132, 55, 146, 13, 24, 0], [1, 18, 28, 126, 70, 126, 28, 18, 1], [1, 18, 29, 120, 85, 106, 43, 12, 2], [1, 18, 30, 114, 100, 86, 58, 6, 3], [1, 18, 31, 108, 115, 66, 73, 0, 4], [1, 19, 21, 147, 35, 161, 7, 25, 0], [1, 19, 22, 141, 50, 141, 22, 19, 1], [1, 19, 23, 135, 65, 121, 37, 13, 2], [1, 19, 24, 129, 80, 101, 52, 7, 3], [1, 19, 25, 123, 95, 81, 67, 1, 4], [1, 20, 15, 162, 15, 176, 1, 26, 0], [1, 20, 16, 156, 30, 156, 16, 20, 1], [1, 20, 17, 150, 45, 136, 31, 14, 2], [1, 20, 18, 144, 60, 116, 46, 8, 3], [1, 20, 19, 138, 75, 96, 61, 2, 4], [1, 21, 10, 171, 10, 171, 10, 21, 1], [1, 21, 11, 165, 25, 151, 25, 15, 2], [1, 21, 12, 159, 40, 131, 40, 9, 3], [1, 21, 13, 153, 55, 111, 55, 3, 4], [1, 22, 5, 180, 5, 166, 19, 16, 2], [1, 22, 6, 174, 20, 146, 34, 10, 3], [1, 22, 7, 168, 35, 126, 49, 4, 4], [1, 23, 0, 189, 0, 161, 28, 11, 3], [1, 23, 1, 183, 15, 141, 43, 5, 4], [2, 5, 84, 7, 210, 35, 56, 17, 0], [2, 5, 85, 1, 225, 15, 71, 11, 1], [2, 6, 78, 22, 190, 50, 50, 18, 0], [2, 6, 79, 16, 205, 30, 65, 12, 1], [2, 6, 80, 10, 220, 10, 80, 6, 2], [2, 7, 72, 37, 170, 65, 44, 19, 0], [2, 7, 73, 31, 185, 45, 59, 13, 1], [2, 7, 74, 25, 200, 25, 74, 7, 2], [2, 7, 75, 19, 215, 5, 89, 1, 3], [2, 8, 66, 52, 150, 80, 38, 20, 0], [2, 8, 67, 46, 165, 60, 53, 14, 1], [2, 8, 68, 40, 180, 40, 68, 8, 2], [2, 8, 69, 34, 195, 20, 83, 2, 3], [2, 9, 60, 67, 130, 95, 32, 21, 0], [2, 9, 61, 61, 145, 75, 47, 15, 1], [2, 9, 62, 55, 160, 55, 62, 9, 2], [2, 9, 63, 49, 175, 35, 77, 3, 3], [2, 10, 54, 82, 110, 110, 26, 22, 0], [2, 10, 55, 76, 125, 90, 41, 16, 1], [2, 10, 56, 70, 140, 70, 56, 10, 2], [2, 10, 57, 64, 155, 50, 71, 4, 3], [2, 11, 48, 97, 90, 125, 20, 23, 0], [2, 11, 49, 91, 105, 105, 35, 17, 1], [2, 11, 50, 85, 120, 85, 50, 11, 2], [2, 11, 51, 79, 135, 65, 65, 5, 3], [2, 12, 42, 112, 70, 140, 14, 24, 0], [2, 12, 43, 106, 85, 120, 29, 18, 1], [2, 12, 44, 100, 100, 100, 44, 12, 2], [2, 12, 45, 94, 115, 80, 59, 6, 3], [2, 12, 46, 88, 130, 60, 74, 0, 4], [2, 13, 36, 127, 50, 155, 8, 25, 0], [2, 13, 37, 121, 65, 135, 23, 19, 1], [2, 13, 38, 115, 80, 115, 38, 13, 2], [2, 13, 39, 109, 95, 95, 53, 7, 3], [2, 13, 40, 103, 110, 75, 68, 1, 4], [2, 14, 30, 142, 30, 170, 2, 26, 0], [2, 14, 31, 136, 45, 150, 17, 20, 1], [2, 14, 32, 130, 60, 130, 32, 14, 2], [2, 14, 33, 124, 75, 110, 47, 8, 3], [2, 14, 34, 118, 90, 90, 62, 2, 4], [2, 15, 25, 151, 25, 165, 11, 21, 1], [2, 15, 26, 145, 40, 145, 26, 15, 2], [2, 15, 27, 139, 55, 125, 41, 9, 3], [2, 15, 28, 133, 70, 105, 56, 3, 4], [2, 16, 19, 166, 5, 180, 5, 22, 1], [2, 16, 20, 160, 20, 160, 20, 16, 2], [2, 16, 21, 154, 35, 140, 35, 10, 3], [2, 16, 22, 148, 50, 120, 50, 4, 4], [2, 17, 14, 175, 0, 175, 14, 17, 2], [2, 17, 15, 169, 15, 155, 29, 11, 3], [2, 17, 16, 163, 30, 135, 44, 5, 4], [2, 18, 10, 178, 10, 150, 38, 6, 4], [2, 18, 11, 172, 25, 130, 53, 0, 5], [2, 19, 5, 187, 5, 145, 47, 1, 5], [3, 0, 93, 2, 205, 44, 51, 18, 0], [3, 1, 87, 17, 185, 59, 45, 19, 0], [3, 1, 88, 11, 200, 39, 60, 13, 1], [3, 1, 89, 5, 215, 19, 75, 7, 2], [3, 2, 81, 32, 165, 74, 39, 20, 0], [3, 2, 82, 26, 180, 54, 54, 14, 1], [3, 2, 83, 20, 195, 34, 69, 8, 2], [3, 2, 84, 14, 210, 14, 84, 2, 3], [3, 3, 75, 47, 145, 89, 33, 21, 0], [3, 3, 76, 41, 160, 69, 48, 15, 1], [3, 3, 77, 35, 175, 49, 63, 9, 2], [3, 3, 78, 29, 190, 29, 78, 3, 3], [3, 4, 69, 62, 125, 104, 27, 22, 0], [3, 4, 70, 56, 140, 84, 42, 16, 1], [3, 4, 71, 50, 155, 64, 57, 10, 2], [3, 4, 72, 44, 170, 44, 72, 4, 3], [3, 5, 63, 77, 105, 119, 21, 23, 0], [3, 5, 64, 71, 120, 99, 36, 17, 1], [3, 5, 65, 65, 135, 79, 51, 11, 2], [3, 5, 66, 59, 150, 59, 66, 5, 3], [3, 6, 57, 92, 85, 134, 15, 24, 0], [3, 6, 58, 86, 100, 114, 30, 18, 1], [3, 6, 59, 80, 115, 94, 45, 12, 2], [3, 6, 60, 74, 130, 74, 60, 6, 3], [3, 6, 61, 68, 145, 54, 75, 0, 4], [3, 7, 51, 107, 65, 149, 9, 25, 0], [3, 7, 52, 101, 80, 129, 24, 19, 1], [3, 7, 53, 95, 95, 109, 39, 13, 2], [3, 7, 54, 89, 110, 89, 54, 7, 3], [3, 7, 55, 83, 125, 69, 69, 1, 4], [3, 8, 45, 122, 45, 164, 3, 26, 0], [3, 8, 46, 116, 60, 144, 18, 20, 1], [3, 8, 47, 110, 75, 124, 33, 14, 2], [3, 8, 48, 104, 90, 104, 48, 8, 3], [3, 8, 49, 98, 105, 84, 63, 2, 4], [3, 9, 40, 131, 40, 159, 12, 21, 1], [3, 9, 41, 125, 55, 139, 27, 15, 2], [3, 9, 42, 119, 70, 119, 42, 9, 3], [3, 9, 43, 113, 85, 99, 57, 3, 4], [3, 10, 34, 146, 20, 174, 6, 22, 1], [3, 10, 35, 140, 35, 154, 21, 16, 2], [3, 10, 36, 134, 50, 134, 36, 10, 3], [3, 10, 37, 128, 65, 114, 51, 4, 4], [3, 11, 28, 161, 0, 189, 0, 23, 1], [3, 11, 29, 155, 15, 169, 15, 17, 2], [3, 11, 30, 149, 30, 149, 30, 11, 3], [3, 11, 31, 143, 45, 129, 45, 5, 4], [3, 12, 24, 164, 10, 164, 24, 12, 3], [3, 12, 25, 158, 25, 144, 39, 6, 4], [3, 12, 26, 152, 40, 124, 54, 0, 5], [3, 13, 19, 173, 5, 159, 33, 7, 4], [3, 13, 20, 167, 20, 139, 48, 1, 5], [3, 14, 14, 182, 0, 154, 42, 2, 5], [4, 0, 72, 72, 100, 128, 16, 24, 0], [4, 0, 73, 66, 115, 108, 31, 18, 1], [4, 0, 74, 60, 130, 88, 46, 12, 2], [4, 0, 75, 54, 145, 68, 61, 6, 3], [4, 0, 76, 48, 160, 48, 76, 0, 4], [4, 1, 66, 87, 80, 143, 10, 25, 0], [4, 1, 67, 81, 95, 123, 25, 19, 1], [4, 1, 68, 75, 110, 103, 40, 13, 2], [4, 1, 69, 69, 125, 83, 55, 7, 3], [4, 1, 70, 63, 140, 63, 70, 1, 4], [4, 2, 60, 102, 60, 158, 4, 26, 0], [4, 2, 61, 96, 75, 138, 19, 20, 1], [4, 2, 62, 90, 90, 118, 34, 14, 2], [4, 2, 63, 84, 105, 98, 49, 8, 3], [4, 2, 64, 78, 120, 78, 64, 2, 4], [4, 3, 55, 111, 55, 153, 13, 21, 1], [4, 3, 56, 105, 70, 133, 28, 15, 2], [4, 3, 57, 99, 85, 113, 43, 9, 3], [4, 3, 58, 93, 100, 93, 58, 3, 4], [4, 4, 49, 126, 35, 168, 7, 22, 1], [4, 4, 50, 120, 50, 148, 22, 16, 2], [4, 4, 51, 114, 65, 128, 37, 10, 3], [4, 4, 52, 108, 80, 108, 52, 4, 4], [4, 5, 43, 141, 15, 183, 1, 23, 1], [4, 5, 44, 135, 30, 163, 16, 17, 2], [4, 5, 45, 129, 45, 143, 31, 11, 3], [4, 5, 46, 123, 60, 123, 46, 5, 4], [4, 6, 38, 150, 10, 178, 10, 18, 2], [4, 6, 39, 144, 25, 158, 25, 12, 3], [4, 6, 40, 138, 40, 138, 40, 6, 4], [4, 6, 41, 132, 55, 118, 55, 0, 5], [4, 7, 33, 159, 5, 173, 19, 13, 3], [4, 7, 34, 153, 20, 153, 34, 7, 4], [4, 7, 35, 147, 35, 133, 49, 1, 5], [4, 8, 28, 168, 0, 168, 28, 8, 4], [4, 8, 29, 162, 15, 148, 43, 2, 5], [5, 0, 53, 130, 25, 172, 11, 18, 2], [5, 0, 54, 124, 40, 152, 26, 12, 3], [5, 0, 55, 118, 55, 132, 41, 6, 4], [5, 0, 56, 112, 70, 112, 56, 0, 5], [5, 1, 47, 145, 5, 187, 5, 19, 2], [5, 1, 48, 139, 20, 167, 20, 13, 3], [5, 1, 49, 133, 35, 147, 35, 7, 4], [5, 1, 50, 127, 50, 127, 50, 1, 5], [5, 2, 42, 154, 0, 182, 14, 14, 3], [5, 2, 43, 148, 15, 162, 29, 8, 4], [5, 2, 44, 142, 30, 142, 44, 2, 5], [5, 3, 38, 157, 10, 157, 38, 3, 5]}
(9, 416, 5) has 730 possible DDs: {[1, 0, 62, 14, 126, 140, 14, 54, 5, 0], [1, 0, 63, 8, 141, 120, 29, 48, 6, 0], [1, 0, 63, 9, 135, 135, 9, 63, 0, 1], [1, 0, 64, 2, 156, 100, 44, 42, 7, 0], [1, 0, 64, 3, 150, 115, 24, 57, 1, 1], [1, 1, 56, 29, 106, 155, 8, 55, 5, 0], [1, 1, 57, 23, 121, 135, 23, 49, 6, 0], [1, 1, 57, 24, 115, 150, 3, 64, 0, 1], [1, 1, 58, 17, 136, 115, 38, 43, 7, 0], [1, 1, 58, 18, 130, 130, 18, 58, 1, 1], [1, 1, 59, 11, 151, 95, 53, 37, 8, 0], [1, 1, 59, 12, 145, 110, 33, 52, 2, 1], [1, 1, 60, 5, 166, 75, 68, 31, 9, 0], [1, 1, 60, 6, 160, 90, 48, 46, 3, 1], [1, 1, 61, 0, 175, 70, 63, 40, 4, 1], [1, 2, 50, 44, 86, 170, 2, 56, 5, 0], [1, 2, 51, 38, 101, 150, 17, 50, 6, 0], [1, 2, 52, 32, 116, 130, 32, 44, 7, 0], [1, 2, 52, 33, 110, 145, 12, 59, 1, 1], [1, 2, 53, 26, 131, 110, 47, 38, 8, 0], [1, 2, 53, 27, 125, 125, 27, 53, 2, 1], [1, 2, 54, 20, 146, 90, 62, 32, 9, 0], [1, 2, 54, 21, 140, 105, 42, 47, 3, 1], [1, 2, 55, 14, 161, 70, 77, 26, 10, 0], [1, 2, 55, 15, 155, 85, 57, 41, 4, 1], [1, 2, 56, 8, 176, 50, 92, 20, 11, 0], [1, 2, 56, 9, 170, 65, 72, 35, 5, 1], [1, 2, 57, 2, 191, 30, 107, 14, 12, 0], [1, 2, 57, 3, 185, 45, 87, 29, 6, 1], [1, 2, 57, 4, 179, 60, 67, 44, 0, 2], [1, 3, 45, 53, 81, 165, 11, 51, 6, 0], [1, 3, 46, 47, 96, 145, 26, 45, 7, 0], [1, 3, 46, 48, 90, 160, 6, 60, 1, 1], [1, 3, 47, 41, 111, 125, 41, 39, 8, 0], [1, 3, 47, 42, 105, 140, 21, 54, 2, 1], [1, 3, 48, 35, 126, 105, 56, 33, 9, 0], [1, 3, 48, 36, 120, 120, 36, 48, 3, 1], [1, 3, 49, 29, 141, 85, 71, 27, 10, 0], [1, 3, 49, 30, 135, 100, 51, 42, 4, 1], [1, 3, 50, 23, 156, 65, 86, 21, 11, 0], [1, 3, 50, 24, 150, 80, 66, 36, 5, 1], [1, 3, 51, 17, 171, 45, 101, 15, 12, 0], [1, 3, 51, 18, 165, 60, 81, 30, 6, 1], [1, 3, 51, 19, 159, 75, 61, 45, 0, 2], [1, 3, 52, 11, 186, 25, 116, 9, 13, 0], [1, 3, 52, 12, 180, 40, 96, 24, 7, 1], [1, 3, 52, 13, 174, 55, 76, 39, 1, 2], [1, 3, 53, 5, 201, 5, 131, 3, 14, 0], [1, 3, 53, 6, 195, 20, 111, 18, 8, 1], [1, 3, 53, 7, 189, 35, 91, 33, 2, 2], [1, 3, 54, 0, 210, 0, 126, 12, 9, 1], [1, 3, 54, 1, 204, 15, 106, 27, 3, 2], [1, 4, 39, 68, 61, 180, 5, 52, 6, 0], [1, 4, 40, 62, 76, 160, 20, 46, 7, 0], [1, 4, 40, 63, 70, 175, 0, 61, 1, 1], [1, 4, 41, 56, 91, 140, 35, 40, 8, 0], [1, 4, 41, 57, 85, 155, 15, 55, 2, 1], [1, 4, 42, 50, 106, 120, 50, 34, 9, 0], [1, 4, 42, 51, 100, 135, 30, 49, 3, 1], [1, 4, 43, 44, 121, 100, 65, 28, 10, 0], [1, 4, 43, 45, 115, 115, 45, 43, 4, 1], [1, 4, 44, 38, 136, 80, 80, 22, 11, 0], [1, 4, 44, 39, 130, 95, 60, 37, 5, 1], [1, 4, 45, 32, 151, 60, 95, 16, 12, 0], [1, 4, 45, 33, 145, 75, 75, 31, 6, 1], [1, 4, 45, 34, 139, 90, 55, 46, 0, 2], [1, 4, 46, 26, 166, 40, 110, 10, 13, 0], [1, 4, 46, 27, 160, 55, 90, 25, 7, 1], [1, 4, 46, 28, 154, 70, 70, 40, 1, 2], [1, 4, 47, 20, 181, 20, 125, 4, 14, 0], [1, 4, 47, 21, 175, 35, 105, 19, 8, 1], [1, 4, 47, 22, 169, 50, 85, 34, 2, 2], [1, 4, 48, 15, 190, 15, 120, 13, 9, 1], [1, 4, 48, 16, 184, 30, 100, 28, 3, 2], [1, 4, 49, 10, 199, 10, 115, 22, 4, 2], [1, 5, 34, 77, 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21, 154, 63, 18, 13, 0], [2, 6, 13, 127, 15, 169, 43, 33, 7, 1], [2, 6, 13, 128, 9, 184, 23, 48, 1, 2], [2, 6, 14, 120, 36, 134, 78, 12, 14, 0], [2, 6, 14, 121, 30, 149, 58, 27, 8, 1], [2, 6, 14, 122, 24, 164, 38, 42, 2, 2], [2, 6, 15, 114, 51, 114, 93, 6, 15, 0], [2, 6, 15, 115, 45, 129, 73, 21, 9, 1], [2, 6, 15, 116, 39, 144, 53, 36, 3, 2], [2, 6, 16, 108, 66, 94, 108, 0, 16, 0], [2, 6, 16, 109, 60, 109, 88, 15, 10, 1], [2, 6, 16, 110, 54, 124, 68, 30, 4, 2], [2, 6, 17, 103, 75, 89, 103, 9, 11, 1], [2, 6, 17, 104, 69, 104, 83, 24, 5, 2], [2, 6, 18, 97, 90, 69, 118, 3, 12, 1], [2, 6, 18, 98, 84, 84, 98, 18, 6, 2], [2, 6, 18, 99, 78, 99, 78, 33, 0, 3], [2, 6, 19, 92, 99, 64, 113, 12, 7, 2], [2, 6, 19, 93, 93, 79, 93, 27, 1, 3], [2, 6, 20, 86, 114, 44, 128, 6, 8, 2], [2, 6, 20, 87, 108, 59, 108, 21, 2, 3], [2, 6, 21, 80, 129, 24, 143, 0, 9, 2], [2, 6, 21, 81, 123, 39, 123, 15, 3, 3], [2, 6, 22, 75, 138, 19, 138, 9, 4, 3], [2, 7, 7, 141, 1, 169, 57, 19, 13, 0], [2, 7, 8, 135, 16, 149, 72, 13, 14, 0], [2, 7, 8, 136, 10, 164, 52, 28, 8, 1], [2, 7, 8, 137, 4, 179, 32, 43, 2, 2], [2, 7, 9, 129, 31, 129, 87, 7, 15, 0], [2, 7, 9, 130, 25, 144, 67, 22, 9, 1], [2, 7, 9, 131, 19, 159, 47, 37, 3, 2], [2, 7, 10, 123, 46, 109, 102, 1, 16, 0], [2, 7, 10, 124, 40, 124, 82, 16, 10, 1], [2, 7, 10, 125, 34, 139, 62, 31, 4, 2], [2, 7, 11, 118, 55, 104, 97, 10, 11, 1], [2, 7, 11, 119, 49, 119, 77, 25, 5, 2], [2, 7, 12, 112, 70, 84, 112, 4, 12, 1], [2, 7, 12, 113, 64, 99, 92, 19, 6, 2], [2, 7, 12, 114, 58, 114, 72, 34, 0, 3], [2, 7, 13, 107, 79, 79, 107, 13, 7, 2], [2, 7, 13, 108, 73, 94, 87, 28, 1, 3], [2, 7, 14, 101, 94, 59, 122, 7, 8, 2], [2, 7, 14, 102, 88, 74, 102, 22, 2, 3], [2, 7, 15, 95, 109, 39, 137, 1, 9, 2], [2, 7, 15, 96, 103, 54, 117, 16, 3, 3], [2, 7, 16, 90, 118, 34, 132, 10, 4, 3], [2, 7, 17, 84, 133, 14, 147, 4, 5, 3], [2, 7, 18, 79, 142, 9, 142, 13, 0, 4], [2, 8, 3, 144, 11, 144, 81, 8, 15, 0], [2, 8, 3, 145, 5, 159, 61, 23, 9, 1], [2, 8, 4, 138, 26, 124, 96, 2, 16, 0], [2, 8, 4, 139, 20, 139, 76, 17, 10, 1], [2, 8, 4, 140, 14, 154, 56, 32, 4, 2], [2, 8, 5, 133, 35, 119, 91, 11, 11, 1], [2, 8, 5, 134, 29, 134, 71, 26, 5, 2], [2, 8, 6, 127, 50, 99, 106, 5, 12, 1], [2, 8, 6, 128, 44, 114, 86, 20, 6, 2], [2, 8, 6, 129, 38, 129, 66, 35, 0, 3], [2, 8, 7, 122, 59, 94, 101, 14, 7, 2], [2, 8, 7, 123, 53, 109, 81, 29, 1, 3], [2, 8, 8, 116, 74, 74, 116, 8, 8, 2], [2, 8, 8, 117, 68, 89, 96, 23, 2, 3], [2, 8, 9, 110, 89, 54, 131, 2, 9, 2], [2, 8, 9, 111, 83, 69, 111, 17, 3, 3], [2, 8, 10, 105, 98, 49, 126, 11, 4, 3], [2, 8, 11, 99, 113, 29, 141, 5, 5, 3], [2, 8, 12, 94, 122, 24, 136, 14, 0, 4], [2, 8, 13, 88, 137, 4, 151, 8, 1, 4], [2, 9, 0, 142, 30, 114, 100, 6, 12, 1], [2, 9, 0, 143, 24, 129, 80, 21, 6, 2], [2, 9, 0, 144, 18, 144, 60, 36, 0, 3], [2, 9, 1, 136, 45, 94, 115, 0, 13, 1], [2, 9, 1, 137, 39, 109, 95, 15, 7, 2], [2, 9, 1, 138, 33, 124, 75, 30, 1, 3], [2, 9, 2, 131, 54, 89, 110, 9, 8, 2], [2, 9, 2, 132, 48, 104, 90, 24, 2, 3], [2, 9, 3, 125, 69, 69, 125, 3, 9, 2], [2, 9, 3, 126, 63, 84, 105, 18, 3, 3], [2, 9, 4, 120, 78, 64, 120, 12, 4, 3], [2, 9, 5, 114, 93, 44, 135, 6, 5, 3], [2, 9, 6, 108, 108, 24, 150, 0, 6, 3], [2, 9, 6, 109, 102, 39, 130, 15, 0, 4], [2, 9, 7, 103, 117, 19, 145, 9, 1, 4], [2, 10, 0, 123, 88, 39, 144, 1, 6, 3], [2, 10, 0, 124, 82, 54, 124, 16, 0, 4], [2, 10, 1, 118, 97, 34, 139, 10, 1, 4], [2, 10, 2, 112, 112, 14, 154, 4, 2, 4], [3, 0, 26, 118, 6, 188, 34, 30, 11, 0], [3, 0, 26, 119, 0, 203, 14, 45, 5, 1], [3, 0, 27, 112, 21, 168, 49, 24, 12, 0], [3, 0, 27, 113, 15, 183, 29, 39, 6, 1], [3, 0, 27, 114, 9, 198, 9, 54, 0, 2], [3, 0, 28, 106, 36, 148, 64, 18, 13, 0], [3, 0, 28, 107, 30, 163, 44, 33, 7, 1], [3, 0, 28, 108, 24, 178, 24, 48, 1, 2], [3, 0, 29, 100, 51, 128, 79, 12, 14, 0], [3, 0, 29, 101, 45, 143, 59, 27, 8, 1], [3, 0, 29, 102, 39, 158, 39, 42, 2, 2], [3, 0, 30, 94, 66, 108, 94, 6, 15, 0], [3, 0, 30, 95, 60, 123, 74, 21, 9, 1], [3, 0, 30, 96, 54, 138, 54, 36, 3, 2], [3, 0, 31, 88, 81, 88, 109, 0, 16, 0], [3, 0, 31, 89, 75, 103, 89, 15, 10, 1], [3, 0, 31, 90, 69, 118, 69, 30, 4, 2], [3, 0, 32, 83, 90, 83, 104, 9, 11, 1], [3, 0, 32, 84, 84, 98, 84, 24, 5, 2], [3, 0, 33, 77, 105, 63, 119, 3, 12, 1], [3, 0, 33, 78, 99, 78, 99, 18, 6, 2], [3, 0, 33, 79, 93, 93, 79, 33, 0, 3], [3, 0, 34, 72, 114, 58, 114, 12, 7, 2], [3, 0, 34, 73, 108, 73, 94, 27, 1, 3], [3, 0, 35, 66, 129, 38, 129, 6, 8, 2], [3, 0, 35, 67, 123, 53, 109, 21, 2, 3], [3, 0, 36, 60, 144, 18, 144, 0, 9, 2], [3, 0, 36, 61, 138, 33, 124, 15, 3, 3], [3, 0, 37, 55, 153, 13, 139, 9, 4, 3], [3, 1, 21, 127, 1, 183, 43, 25, 12, 0], [3, 1, 22, 121, 16, 163, 58, 19, 13, 0], [3, 1, 22, 122, 10, 178, 38, 34, 7, 1], [3, 1, 22, 123, 4, 193, 18, 49, 1, 2], [3, 1, 23, 115, 31, 143, 73, 13, 14, 0], [3, 1, 23, 116, 25, 158, 53, 28, 8, 1], [3, 1, 23, 117, 19, 173, 33, 43, 2, 2], [3, 1, 24, 109, 46, 123, 88, 7, 15, 0], [3, 1, 24, 110, 40, 138, 68, 22, 9, 1], [3, 1, 24, 111, 34, 153, 48, 37, 3, 2], [3, 1, 25, 103, 61, 103, 103, 1, 16, 0], [3, 1, 25, 104, 55, 118, 83, 16, 10, 1], [3, 1, 25, 105, 49, 133, 63, 31, 4, 2], [3, 1, 26, 98, 70, 98, 98, 10, 11, 1], [3, 1, 26, 99, 64, 113, 78, 25, 5, 2], [3, 1, 27, 92, 85, 78, 113, 4, 12, 1], [3, 1, 27, 93, 79, 93, 93, 19, 6, 2], [3, 1, 27, 94, 73, 108, 73, 34, 0, 3], [3, 1, 28, 87, 94, 73, 108, 13, 7, 2], [3, 1, 28, 88, 88, 88, 88, 28, 1, 3], [3, 1, 29, 81, 109, 53, 123, 7, 8, 2], [3, 1, 29, 82, 103, 68, 103, 22, 2, 3], [3, 1, 30, 75, 124, 33, 138, 1, 9, 2], [3, 1, 30, 76, 118, 48, 118, 16, 3, 3], [3, 1, 31, 70, 133, 28, 133, 10, 4, 3], [3, 1, 32, 64, 148, 8, 148, 4, 5, 3], [3, 1, 33, 59, 157, 3, 143, 13, 0, 4], [3, 2, 17, 130, 11, 158, 67, 14, 14, 0], [3, 2, 17, 131, 5, 173, 47, 29, 8, 1], [3, 2, 18, 124, 26, 138, 82, 8, 15, 0], [3, 2, 18, 125, 20, 153, 62, 23, 9, 1], [3, 2, 18, 126, 14, 168, 42, 38, 3, 2], [3, 2, 19, 118, 41, 118, 97, 2, 16, 0], [3, 2, 19, 119, 35, 133, 77, 17, 10, 1], [3, 2, 19, 120, 29, 148, 57, 32, 4, 2], [3, 2, 20, 113, 50, 113, 92, 11, 11, 1], [3, 2, 20, 114, 44, 128, 72, 26, 5, 2], [3, 2, 21, 107, 65, 93, 107, 5, 12, 1], [3, 2, 21, 108, 59, 108, 87, 20, 6, 2], [3, 2, 21, 109, 53, 123, 67, 35, 0, 3], [3, 2, 22, 102, 74, 88, 102, 14, 7, 2], [3, 2, 22, 103, 68, 103, 82, 29, 1, 3], [3, 2, 23, 96, 89, 68, 117, 8, 8, 2], [3, 2, 23, 97, 83, 83, 97, 23, 2, 3], [3, 2, 24, 90, 104, 48, 132, 2, 9, 2], [3, 2, 24, 91, 98, 63, 112, 17, 3, 3], [3, 2, 25, 85, 113, 43, 127, 11, 4, 3], [3, 2, 26, 79, 128, 23, 142, 5, 5, 3], [3, 2, 27, 74, 137, 18, 137, 14, 0, 4], [3, 3, 12, 139, 6, 153, 76, 9, 15, 0], [3, 3, 12, 140, 0, 168, 56, 24, 9, 1], [3, 3, 13, 133, 21, 133, 91, 3, 16, 0], [3, 3, 13, 134, 15, 148, 71, 18, 10, 1], [3, 3, 13, 135, 9, 163, 51, 33, 4, 2], [3, 3, 14, 128, 30, 128, 86, 12, 11, 1], [3, 3, 14, 129, 24, 143, 66, 27, 5, 2], [3, 3, 15, 122, 45, 108, 101, 6, 12, 1], [3, 3, 15, 123, 39, 123, 81, 21, 6, 2], [3, 3, 15, 124, 33, 138, 61, 36, 0, 3], [3, 3, 16, 116, 60, 88, 116, 0, 13, 1], [3, 3, 16, 117, 54, 103, 96, 15, 7, 2], [3, 3, 16, 118, 48, 118, 76, 30, 1, 3], [3, 3, 17, 111, 69, 83, 111, 9, 8, 2], [3, 3, 17, 112, 63, 98, 91, 24, 2, 3], [3, 3, 18, 105, 84, 63, 126, 3, 9, 2], [3, 3, 18, 106, 78, 78, 106, 18, 3, 3], [3, 3, 19, 100, 93, 58, 121, 12, 4, 3], [3, 3, 20, 94, 108, 38, 136, 6, 5, 3], [3, 3, 21, 88, 123, 18, 151, 0, 6, 3], [3, 3, 21, 89, 117, 33, 131, 15, 0, 4], [3, 3, 22, 83, 132, 13, 146, 9, 1, 4], [3, 4, 7, 148, 1, 148, 85, 4, 16, 0], [3, 4, 8, 143, 10, 143, 80, 13, 11, 1], [3, 4, 8, 144, 4, 158, 60, 28, 5, 2], [3, 4, 9, 137, 25, 123, 95, 7, 12, 1], [3, 4, 9, 138, 19, 138, 75, 22, 6, 2], [3, 4, 9, 139, 13, 153, 55, 37, 0, 3], [3, 4, 10, 131, 40, 103, 110, 1, 13, 1], [3, 4, 10, 132, 34, 118, 90, 16, 7, 2], [3, 4, 10, 133, 28, 133, 70, 31, 1, 3], [3, 4, 11, 126, 49, 98, 105, 10, 8, 2], [3, 4, 11, 127, 43, 113, 85, 25, 2, 3], [3, 4, 12, 120, 64, 78, 120, 4, 9, 2], [3, 4, 12, 121, 58, 93, 100, 19, 3, 3], [3, 4, 13, 115, 73, 73, 115, 13, 4, 3], [3, 4, 14, 109, 88, 53, 130, 7, 5, 3], [3, 4, 15, 103, 103, 33, 145, 1, 6, 3], [3, 4, 15, 104, 97, 48, 125, 16, 0, 4], [3, 4, 16, 98, 112, 28, 140, 10, 1, 4], [3, 4, 17, 92, 127, 8, 155, 4, 2, 4], [3, 5, 3, 152, 5, 138, 89, 8, 12, 1], [3, 5, 4, 146, 20, 118, 104, 2, 13, 1], [3, 5, 4, 147, 14, 133, 84, 17, 7, 2], [3, 5, 4, 148, 8, 148, 64, 32, 1, 3], [3, 5, 5, 141, 29, 113, 99, 11, 8, 2], [3, 5, 5, 142, 23, 128, 79, 26, 2, 3], [3, 5, 6, 135, 44, 93, 114, 5, 9, 2], [3, 5, 6, 136, 38, 108, 94, 20, 3, 3], [3, 5, 7, 130, 53, 88, 109, 14, 4, 3], [3, 5, 8, 124, 68, 68, 124, 8, 5, 3], [3, 5, 9, 118, 83, 48, 139, 2, 6, 3], [3, 5, 9, 119, 77, 63, 119, 17, 0, 4], [3, 5, 10, 113, 92, 43, 134, 11, 1, 4], [3, 5, 11, 107, 107, 23, 149, 5, 2, 4], [3, 6, 0, 150, 24, 108, 108, 6, 9, 2], [3, 6, 0, 151, 18, 123, 88, 21, 3, 3], [3, 6, 1, 144, 39, 88, 123, 0, 10, 2], [3, 6, 1, 145, 33, 103, 103, 15, 4, 3], [3, 6, 2, 139, 48, 83, 118, 9, 5, 3], [3, 6, 3, 133, 63, 63, 133, 3, 6, 3], [3, 6, 3, 134, 57, 78, 113, 18, 0, 4], [3, 6, 4, 128, 72, 58, 128, 12, 1, 4], [3, 6, 5, 122, 87, 38, 143, 6, 2, 4], [3, 6, 6, 116, 102, 18, 158, 0, 3, 4], [3, 7, 0, 131, 82, 33, 152, 1, 3, 4], [4, 0, 12, 147, 0, 147, 84, 9, 12, 1], [4, 0, 13, 141, 15, 127, 99, 3, 13, 1], [4, 0, 13, 142, 9, 142, 79, 18, 7, 2], [4, 0, 13, 143, 3, 157, 59, 33, 1, 3], [4, 0, 14, 136, 24, 122, 94, 12, 8, 2], [4, 0, 14, 137, 18, 137, 74, 27, 2, 3], [4, 0, 15, 130, 39, 102, 109, 6, 9, 2], [4, 0, 15, 131, 33, 117, 89, 21, 3, 3], [4, 0, 16, 124, 54, 82, 124, 0, 10, 2], [4, 0, 16, 125, 48, 97, 104, 15, 4, 3], [4, 0, 17, 119, 63, 77, 119, 9, 5, 3], [4, 0, 18, 113, 78, 57, 134, 3, 6, 3], [4, 0, 18, 114, 72, 72, 114, 18, 0, 4], [4, 0, 19, 108, 87, 52, 129, 12, 1, 4], [4, 0, 20, 102, 102, 32, 144, 6, 2, 4], [4, 0, 21, 96, 117, 12, 159, 0, 3, 4], [4, 1, 8, 151, 4, 137, 88, 13, 8, 2], [4, 1, 9, 145, 19, 117, 103, 7, 9, 2], [4, 1, 9, 146, 13, 132, 83, 22, 3, 3], [4, 1, 10, 139, 34, 97, 118, 1, 10, 2], [4, 1, 10, 140, 28, 112, 98, 16, 4, 3], [4, 1, 11, 134, 43, 92, 113, 10, 5, 3], [4, 1, 12, 128, 58, 72, 128, 4, 6, 3], [4, 1, 12, 129, 52, 87, 108, 19, 0, 4], [4, 1, 13, 123, 67, 67, 123, 13, 1, 4], [4, 1, 14, 117, 82, 47, 138, 7, 2, 4], [4, 1, 15, 111, 97, 27, 153, 1, 3, 4], [4, 2, 4, 154, 14, 112, 112, 2, 10, 2], [4, 2, 4, 155, 8, 127, 92, 17, 4, 3], [4, 2, 5, 149, 23, 107, 107, 11, 5, 3], [4, 2, 6, 143, 38, 87, 122, 5, 6, 3], [4, 2, 6, 144, 32, 102, 102, 20, 0, 4], [4, 2, 7, 138, 47, 82, 117, 14, 1, 4], [4, 2, 8, 132, 62, 62, 132, 8, 2, 4], [4, 2, 9, 126, 77, 42, 147, 2, 3, 4], [4, 3, 0, 158, 18, 102, 116, 6, 6, 3], [4, 3, 0, 159, 12, 117, 96, 21, 0, 4], [4, 3, 1, 152, 33, 82, 131, 0, 7, 3], [4, 3, 1, 153, 27, 97, 111, 15, 1, 4], [4, 3, 2, 147, 42, 77, 126, 9, 2, 4], [4, 3, 3, 141, 57, 57, 141, 3, 3, 4], [4, 3, 6, 124, 96, 12, 166, 0, 0, 5], [4, 4, 0, 139, 76, 27, 160, 1, 0, 5], [5, 0, 0, 166, 12, 96, 124, 6, 3, 4], [5, 0, 1, 160, 27, 76, 139, 0, 4, 4], [5, 0, 3, 149, 51, 51, 149, 3, 0, 5]}
(10, 416, 5) has 1770 possible DDs: {[1, 0, 21, 78, 5, 180, 75, 14, 42, 0, 0], [1, 0, 22, 72, 20, 160, 90, 8, 43, 0, 0], [1, 0, 22, 73, 14, 175, 70, 23, 37, 1, 0], [1, 0, 22, 74, 8, 190, 50, 38, 31, 2, 0], [1, 0, 22, 75, 2, 205, 30, 53, 25, 3, 0], [1, 0, 23, 66, 35, 140, 105, 2, 44, 0, 0], [1, 0, 23, 67, 29, 155, 85, 17, 38, 1, 0], [1, 0, 23, 68, 23, 170, 65, 32, 32, 2, 0], [1, 0, 23, 69, 17, 185, 45, 47, 26, 3, 0], [1, 0, 23, 70, 11, 200, 25, 62, 20, 4, 0], [1, 0, 23, 71, 5, 215, 5, 77, 14, 5, 0], [1, 0, 23, 72, 0, 224, 0, 72, 23, 0, 1], [1, 0, 24, 61, 44, 135, 100, 11, 39, 1, 0], [1, 0, 24, 62, 38, 150, 80, 26, 33, 2, 0], [1, 0, 24, 63, 32, 165, 60, 41, 27, 3, 0], [1, 0, 24, 64, 26, 180, 40, 56, 21, 4, 0], [1, 0, 24, 65, 20, 195, 20, 71, 15, 5, 0], [1, 0, 24, 66, 14, 210, 0, 86, 9, 6, 0], [1, 0, 24, 66, 15, 204, 15, 66, 24, 0, 1], [1, 0, 25, 55, 59, 115, 115, 5, 40, 1, 0], [1, 0, 25, 56, 53, 130, 95, 20, 34, 2, 0], [1, 0, 25, 57, 47, 145, 75, 35, 28, 3, 0], [1, 0, 25, 58, 41, 160, 55, 50, 22, 4, 0], [1, 0, 25, 59, 35, 175, 35, 65, 16, 5, 0], [1, 0, 25, 60, 29, 190, 15, 80, 10, 6, 0], [1, 0, 25, 60, 30, 184, 30, 60, 25, 0, 1], [1, 0, 25, 61, 24, 199, 10, 75, 19, 1, 1], [1, 0, 26, 50, 68, 110, 110, 14, 35, 2, 0], [1, 0, 26, 51, 62, 125, 90, 29, 29, 3, 0], [1, 0, 26, 52, 56, 140, 70, 44, 23, 4, 0], [1, 0, 26, 53, 50, 155, 50, 59, 17, 5, 0], [1, 0, 26, 54, 44, 170, 30, 74, 11, 6, 0], [1, 0, 26, 54, 45, 164, 45, 54, 26, 0, 1], [1, 0, 26, 55, 38, 185, 10, 89, 5, 7, 0], [1, 0, 26, 55, 39, 179, 25, 69, 20, 1, 1], [1, 0, 26, 56, 33, 194, 5, 84, 14, 2, 1], [1, 0, 27, 44, 83, 90, 125, 8, 36, 2, 0], [1, 0, 27, 45, 77, 105, 105, 23, 30, 3, 0], [1, 0, 27, 46, 71, 120, 85, 38, 24, 4, 0], [1, 0, 27, 47, 65, 135, 65, 53, 18, 5, 0], [1, 0, 27, 48, 59, 150, 45, 68, 12, 6, 0], [1, 0, 27, 48, 60, 144, 60, 48, 27, 0, 1], [1, 0, 27, 49, 53, 165, 25, 83, 6, 7, 0], [1, 0, 27, 49, 54, 159, 40, 63, 21, 1, 1], [1, 0, 27, 50, 47, 180, 5, 98, 0, 8, 0], [1, 0, 27, 50, 48, 174, 20, 78, 15, 2, 1], [1, 0, 27, 51, 42, 189, 0, 93, 9, 3, 1], [1, 0, 28, 38, 98, 70, 140, 2, 37, 2, 0], [1, 0, 28, 39, 92, 85, 120, 17, 31, 3, 0], [1, 0, 28, 40, 86, 100, 100, 32, 25, 4, 0], [1, 0, 28, 41, 80, 115, 80, 47, 19, 5, 0], [1, 0, 28, 42, 74, 130, 60, 62, 13, 6, 0], [1, 0, 28, 42, 75, 124, 75, 42, 28, 0, 1], [1, 0, 28, 43, 68, 145, 40, 77, 7, 7, 0], [1, 0, 28, 43, 69, 139, 55, 57, 22, 1, 1], [1, 0, 28, 44, 62, 160, 20, 92, 1, 8, 0], [1, 0, 28, 44, 63, 154, 35, 72, 16, 2, 1], [1, 0, 28, 45, 57, 169, 15, 87, 10, 3, 1], [1, 0, 29, 33, 107, 65, 135, 11, 32, 3, 0], [1, 0, 29, 34, 101, 80, 115, 26, 26, 4, 0], [1, 0, 29, 35, 95, 95, 95, 41, 20, 5, 0], [1, 0, 29, 36, 89, 110, 75, 56, 14, 6, 0], [1, 0, 29, 36, 90, 104, 90, 36, 29, 0, 1], [1, 0, 29, 37, 83, 125, 55, 71, 8, 7, 0], [1, 0, 29, 37, 84, 119, 70, 51, 23, 1, 1], [1, 0, 29, 38, 77, 140, 35, 86, 2, 8, 0], [1, 0, 29, 38, 78, 134, 50, 66, 17, 2, 1], [1, 0, 29, 39, 72, 149, 30, 81, 11, 3, 1], [1, 0, 29, 40, 66, 164, 10, 96, 5, 4, 1], [1, 0, 30, 27, 122, 45, 150, 5, 33, 3, 0], [1, 0, 30, 28, 116, 60, 130, 20, 27, 4, 0], [1, 0, 30, 29, 110, 75, 110, 35, 21, 5, 0], [1, 0, 30, 30, 104, 90, 90, 50, 15, 6, 0], [1, 0, 30, 30, 105, 84, 105, 30, 30, 0, 1], [1, 0, 30, 31, 98, 105, 70, 65, 9, 7, 0], [1, 0, 30, 31, 99, 99, 85, 45, 24, 1, 1], [1, 0, 30, 32, 92, 120, 50, 80, 3, 8, 0], [1, 0, 30, 32, 93, 114, 65, 60, 18, 2, 1], [1, 0, 30, 33, 87, 129, 45, 75, 12, 3, 1], [1, 0, 30, 34, 81, 144, 25, 90, 6, 4, 1], [1, 0, 30, 35, 75, 159, 5, 105, 0, 5, 1], [1, 0, 30, 36, 70, 168, 0, 100, 9, 0, 2], [1, 0, 31, 22, 131, 40, 145, 14, 28, 4, 0], [1, 0, 31, 23, 125, 55, 125, 29, 22, 5, 0], [1, 0, 31, 24, 119, 70, 105, 44, 16, 6, 0], [1, 0, 31, 24, 120, 64, 120, 24, 31, 0, 1], [1, 0, 31, 25, 113, 85, 85, 59, 10, 7, 0], [1, 0, 31, 25, 114, 79, 100, 39, 25, 1, 1], [1, 0, 31, 26, 107, 100, 65, 74, 4, 8, 0], [1, 0, 31, 26, 108, 94, 80, 54, 19, 2, 1], [1, 0, 31, 27, 102, 109, 60, 69, 13, 3, 1], [1, 0, 31, 28, 96, 124, 40, 84, 7, 4, 1], [1, 0, 31, 29, 90, 139, 20, 99, 1, 5, 1], [1, 0, 31, 30, 85, 148, 15, 94, 10, 0, 2], [1, 0, 32, 16, 146, 20, 160, 8, 29, 4, 0], [1, 0, 32, 17, 140, 35, 140, 23, 23, 5, 0], [1, 0, 32, 18, 134, 50, 120, 38, 17, 6, 0], [1, 0, 32, 18, 135, 44, 135, 18, 32, 0, 1], [1, 0, 32, 19, 128, 65, 100, 53, 11, 7, 0], [1, 0, 32, 19, 129, 59, 115, 33, 26, 1, 1], [1, 0, 32, 20, 122, 80, 80, 68, 5, 8, 0], [1, 0, 32, 20, 123, 74, 95, 48, 20, 2, 1], [1, 0, 32, 21, 117, 89, 75, 63, 14, 3, 1], [1, 0, 32, 22, 111, 104, 55, 78, 8, 4, 1], [1, 0, 32, 23, 105, 119, 35, 93, 2, 5, 1], [1, 0, 32, 24, 100, 128, 30, 88, 11, 0, 2], [1, 0, 32, 25, 94, 143, 10, 103, 5, 1, 2], [1, 0, 33, 10, 161, 0, 175, 2, 30, 4, 0], [1, 0, 33, 11, 155, 15, 155, 17, 24, 5, 0], [1, 0, 33, 12, 149, 30, 135, 32, 18, 6, 0], [1, 0, 33, 12, 150, 24, 150, 12, 33, 0, 1], [1, 0, 33, 13, 143, 45, 115, 47, 12, 7, 0], [1, 0, 33, 13, 144, 39, 130, 27, 27, 1, 1], [1, 0, 33, 14, 137, 60, 95, 62, 6, 8, 0], [1, 0, 33, 14, 138, 54, 110, 42, 21, 2, 1], [1, 0, 33, 15, 131, 75, 75, 77, 0, 9, 0], [1, 0, 33, 15, 132, 69, 90, 57, 15, 3, 1], [1, 0, 33, 16, 126, 84, 70, 72, 9, 4, 1], [1, 0, 33, 17, 120, 99, 50, 87, 3, 5, 1], [1, 0, 33, 18, 115, 108, 45, 82, 12, 0, 2], [1, 0, 33, 19, 109, 123, 25, 97, 6, 1, 2], [1, 0, 33, 20, 103, 138, 5, 112, 0, 2, 2], [1, 0, 34, 6, 164, 10, 150, 26, 19, 6, 0], [1, 0, 34, 6, 165, 4, 165, 6, 34, 0, 1], [1, 0, 34, 7, 158, 25, 130, 41, 13, 7, 0], [1, 0, 34, 7, 159, 19, 145, 21, 28, 1, 1], [1, 0, 34, 8, 152, 40, 110, 56, 7, 8, 0], [1, 0, 34, 8, 153, 34, 125, 36, 22, 2, 1], [1, 0, 34, 9, 146, 55, 90, 71, 1, 9, 0], [1, 0, 34, 9, 147, 49, 105, 51, 16, 3, 1], [1, 0, 34, 10, 141, 64, 85, 66, 10, 4, 1], [1, 0, 34, 11, 135, 79, 65, 81, 4, 5, 1], [1, 0, 34, 12, 130, 88, 60, 76, 13, 0, 2], [1, 0, 34, 13, 124, 103, 40, 91, 7, 1, 2], [1, 0, 34, 14, 118, 118, 20, 106, 1, 2, 2], [1, 0, 35, 1, 173, 5, 145, 35, 14, 7, 0], [1, 0, 35, 2, 167, 20, 125, 50, 8, 8, 0], [1, 0, 35, 2, 168, 14, 140, 30, 23, 2, 1], [1, 0, 35, 3, 161, 35, 105, 65, 2, 9, 0], [1, 0, 35, 3, 162, 29, 120, 45, 17, 3, 1], [1, 0, 35, 4, 156, 44, 100, 60, 11, 4, 1], [1, 0, 35, 5, 150, 59, 80, 75, 5, 5, 1], [1, 0, 35, 6, 145, 68, 75, 70, 14, 0, 2], [1, 0, 35, 7, 139, 83, 55, 85, 8, 1, 2], [1, 0, 35, 8, 133, 98, 35, 100, 2, 2, 2], [1, 0, 36, 0, 159, 54, 75, 84, 0, 6, 1], [1, 0, 36, 0, 160, 48, 90, 64, 15, 0, 2], [1, 0, 36, 1, 154, 63, 70, 79, 9, 1, 2], [1, 0, 36, 2, 148, 78, 50, 94, 3, 2, 2], [1, 1, 16, 87, 0, 175, 84, 9, 43, 0, 0], [1, 1, 17, 81, 15, 155, 99, 3, 44, 0, 0], [1, 1, 17, 82, 9, 170, 79, 18, 38, 1, 0], [1, 1, 17, 83, 3, 185, 59, 33, 32, 2, 0], [1, 1, 18, 76, 24, 150, 94, 12, 39, 1, 0], [1, 1, 18, 77, 18, 165, 74, 27, 33, 2, 0], [1, 1, 18, 78, 12, 180, 54, 42, 27, 3, 0], [1, 1, 18, 79, 6, 195, 34, 57, 21, 4, 0], [1, 1, 18, 80, 0, 210, 14, 72, 15, 5, 0], [1, 1, 19, 70, 39, 130, 109, 6, 40, 1, 0], [1, 1, 19, 71, 33, 145, 89, 21, 34, 2, 0], [1, 1, 19, 72, 27, 160, 69, 36, 28, 3, 0], [1, 1, 19, 73, 21, 175, 49, 51, 22, 4, 0], [1, 1, 19, 74, 15, 190, 29, 66, 16, 5, 0], [1, 1, 19, 75, 9, 205, 9, 81, 10, 6, 0], [1, 1, 19, 75, 10, 199, 24, 61, 25, 0, 1], [1, 1, 19, 76, 4, 214, 4, 76, 19, 1, 1], [1, 1, 20, 64, 54, 110, 124, 0, 41, 1, 0], [1, 1, 20, 65, 48, 125, 104, 15, 35, 2, 0], [1, 1, 20, 66, 42, 140, 84, 30, 29, 3, 0], [1, 1, 20, 67, 36, 155, 64, 45, 23, 4, 0], [1, 1, 20, 68, 30, 170, 44, 60, 17, 5, 0], [1, 1, 20, 69, 24, 185, 24, 75, 11, 6, 0], [1, 1, 20, 69, 25, 179, 39, 55, 26, 0, 1], [1, 1, 20, 70, 18, 200, 4, 90, 5, 7, 0], [1, 1, 20, 70, 19, 194, 19, 70, 20, 1, 1], [1, 1, 21, 59, 63, 105, 119, 9, 36, 2, 0], [1, 1, 21, 60, 57, 120, 99, 24, 30, 3, 0], [1, 1, 21, 61, 51, 135, 79, 39, 24, 4, 0], [1, 1, 21, 62, 45, 150, 59, 54, 18, 5, 0], [1, 1, 21, 63, 39, 165, 39, 69, 12, 6, 0], [1, 1, 21, 63, 40, 159, 54, 49, 27, 0, 1], [1, 1, 21, 64, 33, 180, 19, 84, 6, 7, 0], [1, 1, 21, 64, 34, 174, 34, 64, 21, 1, 1], [1, 1, 21, 65, 28, 189, 14, 79, 15, 2, 1], [1, 1, 22, 53, 78, 85, 134, 3, 37, 2, 0], [1, 1, 22, 54, 72, 100, 114, 18, 31, 3, 0], [1, 1, 22, 55, 66, 115, 94, 33, 25, 4, 0], [1, 1, 22, 56, 60, 130, 74, 48, 19, 5, 0], [1, 1, 22, 57, 54, 145, 54, 63, 13, 6, 0], [1, 1, 22, 57, 55, 139, 69, 43, 28, 0, 1], [1, 1, 22, 58, 48, 160, 34, 78, 7, 7, 0], [1, 1, 22, 58, 49, 154, 49, 58, 22, 1, 1], [1, 1, 22, 59, 42, 175, 14, 93, 1, 8, 0], [1, 1, 22, 59, 43, 169, 29, 73, 16, 2, 1], [1, 1, 22, 60, 37, 184, 9, 88, 10, 3, 1], [1, 1, 23, 48, 87, 80, 129, 12, 32, 3, 0], [1, 1, 23, 49, 81, 95, 109, 27, 26, 4, 0], [1, 1, 23, 50, 75, 110, 89, 42, 20, 5, 0], [1, 1, 23, 51, 69, 125, 69, 57, 14, 6, 0], [1, 1, 23, 51, 70, 119, 84, 37, 29, 0, 1], [1, 1, 23, 52, 63, 140, 49, 72, 8, 7, 0], [1, 1, 23, 52, 64, 134, 64, 52, 23, 1, 1], [1, 1, 23, 53, 57, 155, 29, 87, 2, 8, 0], [1, 1, 23, 53, 58, 149, 44, 67, 17, 2, 1], [1, 1, 23, 54, 52, 164, 24, 82, 11, 3, 1], [1, 1, 23, 55, 46, 179, 4, 97, 5, 4, 1], [1, 1, 24, 42, 102, 60, 144, 6, 33, 3, 0], [1, 1, 24, 43, 96, 75, 124, 21, 27, 4, 0], [1, 1, 24, 44, 90, 90, 104, 36, 21, 5, 0], [1, 1, 24, 45, 84, 105, 84, 51, 15, 6, 0], [1, 1, 24, 45, 85, 99, 99, 31, 30, 0, 1], [1, 1, 24, 46, 78, 120, 64, 66, 9, 7, 0], [1, 1, 24, 46, 79, 114, 79, 46, 24, 1, 1], [1, 1, 24, 47, 72, 135, 44, 81, 3, 8, 0], [1, 1, 24, 47, 73, 129, 59, 61, 18, 2, 1], [1, 1, 24, 48, 67, 144, 39, 76, 12, 3, 1], [1, 1, 24, 49, 61, 159, 19, 91, 6, 4, 1], [1, 1, 25, 36, 117, 40, 159, 0, 34, 3, 0], [1, 1, 25, 37, 111, 55, 139, 15, 28, 4, 0], [1, 1, 25, 38, 105, 70, 119, 30, 22, 5, 0], [1, 1, 25, 39, 99, 85, 99, 45, 16, 6, 0], [1, 1, 25, 39, 100, 79, 114, 25, 31, 0, 1], [1, 1, 25, 40, 93, 100, 79, 60, 10, 7, 0], [1, 1, 25, 40, 94, 94, 94, 40, 25, 1, 1], [1, 1, 25, 41, 87, 115, 59, 75, 4, 8, 0], [1, 1, 25, 41, 88, 109, 74, 55, 19, 2, 1], [1, 1, 25, 42, 82, 124, 54, 70, 13, 3, 1], [1, 1, 25, 43, 76, 139, 34, 85, 7, 4, 1], [1, 1, 25, 44, 70, 154, 14, 100, 1, 5, 1], [1, 1, 25, 45, 65, 163, 9, 95, 10, 0, 2], [1, 1, 26, 31, 126, 35, 154, 9, 29, 4, 0], [1, 1, 26, 32, 120, 50, 134, 24, 23, 5, 0], [1, 1, 26, 33, 114, 65, 114, 39, 17, 6, 0], [1, 1, 26, 33, 115, 59, 129, 19, 32, 0, 1], [1, 1, 26, 34, 108, 80, 94, 54, 11, 7, 0], [1, 1, 26, 34, 109, 74, 109, 34, 26, 1, 1], [1, 1, 26, 35, 102, 95, 74, 69, 5, 8, 0], [1, 1, 26, 35, 103, 89, 89, 49, 20, 2, 1], [1, 1, 26, 36, 97, 104, 69, 64, 14, 3, 1], [1, 1, 26, 37, 91, 119, 49, 79, 8, 4, 1], [1, 1, 26, 38, 85, 134, 29, 94, 2, 5, 1], [1, 1, 26, 39, 80, 143, 24, 89, 11, 0, 2], [1, 1, 26, 40, 74, 158, 4, 104, 5, 1, 2], [1, 1, 27, 25, 141, 15, 169, 3, 30, 4, 0], [1, 1, 27, 26, 135, 30, 149, 18, 24, 5, 0], [1, 1, 27, 27, 129, 45, 129, 33, 18, 6, 0], [1, 1, 27, 27, 130, 39, 144, 13, 33, 0, 1], [1, 1, 27, 28, 123, 60, 109, 48, 12, 7, 0], [1, 1, 27, 28, 124, 54, 124, 28, 27, 1, 1], [1, 1, 27, 29, 117, 75, 89, 63, 6, 8, 0], [1, 1, 27, 29, 118, 69, 104, 43, 21, 2, 1], [1, 1, 27, 30, 111, 90, 69, 78, 0, 9, 0], [1, 1, 27, 30, 112, 84, 84, 58, 15, 3, 1], [1, 1, 27, 31, 106, 99, 64, 73, 9, 4, 1], [1, 1, 27, 32, 100, 114, 44, 88, 3, 5, 1], [1, 1, 27, 33, 95, 123, 39, 83, 12, 0, 2], [1, 1, 27, 34, 89, 138, 19, 98, 6, 1, 2], [1, 1, 28, 20, 150, 10, 164, 12, 25, 5, 0], [1, 1, 28, 21, 144, 25, 144, 27, 19, 6, 0], [1, 1, 28, 21, 145, 19, 159, 7, 34, 0, 1], [1, 1, 28, 22, 138, 40, 124, 42, 13, 7, 0], [1, 1, 28, 22, 139, 34, 139, 22, 28, 1, 1], [1, 1, 28, 23, 132, 55, 104, 57, 7, 8, 0], [1, 1, 28, 23, 133, 49, 119, 37, 22, 2, 1], [1, 1, 28, 24, 126, 70, 84, 72, 1, 9, 0], [1, 1, 28, 24, 127, 64, 99, 52, 16, 3, 1], [1, 1, 28, 25, 121, 79, 79, 67, 10, 4, 1], [1, 1, 28, 26, 115, 94, 59, 82, 4, 5, 1], [1, 1, 28, 27, 110, 103, 54, 77, 13, 0, 2], [1, 1, 28, 28, 104, 118, 34, 92, 7, 1, 2], [1, 1, 28, 29, 98, 133, 14, 107, 1, 2, 2], [1, 1, 29, 15, 159, 5, 159, 21, 20, 6, 0], [1, 1, 29, 16, 153, 20, 139, 36, 14, 7, 0], [1, 1, 29, 16, 154, 14, 154, 16, 29, 1, 1], [1, 1, 29, 17, 147, 35, 119, 51, 8, 8, 0], [1, 1, 29, 17, 148, 29, 134, 31, 23, 2, 1], [1, 1, 29, 18, 141, 50, 99, 66, 2, 9, 0], [1, 1, 29, 18, 142, 44, 114, 46, 17, 3, 1], [1, 1, 29, 19, 136, 59, 94, 61, 11, 4, 1], [1, 1, 29, 20, 130, 74, 74, 76, 5, 5, 1], [1, 1, 29, 21, 125, 83, 69, 71, 14, 0, 2], [1, 1, 29, 22, 119, 98, 49, 86, 8, 1, 2], [1, 1, 29, 23, 113, 113, 29, 101, 2, 2, 2], [1, 1, 30, 10, 168, 0, 154, 30, 15, 7, 0], [1, 1, 30, 11, 162, 15, 134, 45, 9, 8, 0], [1, 1, 30, 11, 163, 9, 149, 25, 24, 2, 1], [1, 1, 30, 12, 156, 30, 114, 60, 3, 9, 0], [1, 1, 30, 12, 157, 24, 129, 40, 18, 3, 1], [1, 1, 30, 13, 151, 39, 109, 55, 12, 4, 1], [1, 1, 30, 14, 145, 54, 89, 70, 6, 5, 1], [1, 1, 30, 15, 139, 69, 69, 85, 0, 6, 1], [1, 1, 30, 15, 140, 63, 84, 65, 15, 0, 2], [1, 1, 30, 16, 134, 78, 64, 80, 9, 1, 2], [1, 1, 30, 17, 128, 93, 44, 95, 3, 2, 2], [1, 1, 31, 6, 171, 10, 129, 54, 4, 9, 0], [1, 1, 31, 6, 172, 4, 144, 34, 19, 3, 1], [1, 1, 31, 7, 166, 19, 124, 49, 13, 4, 1], [1, 1, 31, 8, 160, 34, 104, 64, 7, 5, 1], [1, 1, 31, 9, 154, 49, 84, 79, 1, 6, 1], [1, 1, 31, 9, 155, 43, 99, 59, 16, 0, 2], [1, 1, 31, 10, 149, 58, 79, 74, 10, 1, 2], [1, 1, 31, 11, 143, 73, 59, 89, 4, 2, 2], [1, 1, 32, 2, 175, 14, 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