-------
(12, 896, 6) ALL distance distributions for INTERNAL point
(6, 896, 6) has 1 possible DDs: {[14, 84, 210, 280, 210, 84, 14]}
(7, 896, 6) has 14 possible DDs: {[1, 91, 21, 455, 35, 273, 7, 13], [2, 84, 42, 420, 70, 252, 14, 12], [3, 77, 63, 385, 105, 231, 21, 11], [4, 70, 84, 350, 140, 210, 28, 10], [5, 63, 105, 315, 175, 189, 35, 9], [6, 56, 126, 280, 210, 168, 42, 8], [7, 49, 147, 245, 245, 147, 49, 7], [8, 42, 168, 210, 280, 126, 56, 6], [9, 35, 189, 175, 315, 105, 63, 5], [10, 28, 210, 140, 350, 84, 70, 4], [11, 21, 231, 105, 385, 63, 77, 3], [12, 14, 252, 70, 420, 42, 84, 2], [13, 7, 273, 35, 455, 21, 91, 1], [14, 0, 294, 0, 490, 0, 98, 0]}
(8, 896, 6) has 57 possible DDs: {[1, 42, 70, 210, 280, 126, 154, 6, 7], [1, 43, 63, 231, 245, 161, 133, 13, 6], [1, 44, 56, 252, 210, 196, 112, 20, 5], [1, 45, 49, 273, 175, 231, 91, 27, 4], [1, 46, 42, 294, 140, 266, 70, 34, 3], [1, 47, 35, 315, 105, 301, 49, 41, 2], [1, 48, 28, 336, 70, 336, 28, 48, 1], [1, 49, 21, 357, 35, 371, 7, 55, 0], [2, 35, 91, 175, 315, 105, 161, 5, 7], [2, 36, 84, 196, 280, 140, 140, 12, 6], [2, 37, 77, 217, 245, 175, 119, 19, 5], [2, 38, 70, 238, 210, 210, 98, 26, 4], [2, 39, 63, 259, 175, 245, 77, 33, 3], [2, 40, 56, 280, 140, 280, 56, 40, 2], [2, 41, 49, 301, 105, 315, 35, 47, 1], [2, 42, 42, 322, 70, 350, 14, 54, 0], [3, 28, 112, 140, 350, 84, 168, 4, 7], [3, 29, 105, 161, 315, 119, 147, 11, 6], [3, 30, 98, 182, 280, 154, 126, 18, 5], [3, 31, 91, 203, 245, 189, 105, 25, 4], [3, 32, 84, 224, 210, 224, 84, 32, 3], [3, 33, 77, 245, 175, 259, 63, 39, 2], [3, 34, 70, 266, 140, 294, 42, 46, 1], [3, 35, 63, 287, 105, 329, 21, 53, 0], [4, 21, 133, 105, 385, 63, 175, 3, 7], [4, 22, 126, 126, 350, 98, 154, 10, 6], [4, 23, 119, 147, 315, 133, 133, 17, 5], [4, 24, 112, 168, 280, 168, 112, 24, 4], [4, 25, 105, 189, 245, 203, 91, 31, 3], [4, 26, 98, 210, 210, 238, 70, 38, 2], [4, 27, 91, 231, 175, 273, 49, 45, 1], [4, 28, 84, 252, 140, 308, 28, 52, 0], [5, 14, 154, 70, 420, 42, 182, 2, 7], [5, 15, 147, 91, 385, 77, 161, 9, 6], [5, 16, 140, 112, 350, 112, 140, 16, 5], [5, 17, 133, 133, 315, 147, 119, 23, 4], [5, 18, 126, 154, 280, 182, 98, 30, 3], [5, 19, 119, 175, 245, 217, 77, 37, 2], [5, 20, 112, 196, 210, 252, 56, 44, 1], [5, 21, 105, 217, 175, 287, 35, 51, 0], [6, 7, 175, 35, 455, 21, 189, 1, 7], [6, 8, 168, 56, 420, 56, 168, 8, 6], [6, 9, 161, 77, 385, 91, 147, 15, 5], [6, 10, 154, 98, 350, 126, 126, 22, 4], [6, 11, 147, 119, 315, 161, 105, 29, 3], [6, 12, 140, 140, 280, 196, 84, 36, 2], [6, 13, 133, 161, 245, 231, 63, 43, 1], [6, 14, 126, 182, 210, 266, 42, 50, 0], [7, 0, 196, 0, 490, 0, 196, 0, 7], [7, 1, 189, 21, 455, 35, 175, 7, 6], [7, 2, 182, 42, 420, 70, 154, 14, 5], [7, 3, 175, 63, 385, 105, 133, 21, 4], [7, 4, 168, 84, 350, 140, 112, 28, 3], [7, 5, 161, 105, 315, 175, 91, 35, 2], [7, 6, 154, 126, 280, 210, 70, 42, 1], [7, 7, 147, 147, 245, 245, 49, 49, 0], [8, 0, 168, 112, 280, 224, 56, 48, 0]}
(9, 896, 6) has 219 possible DDs: {[1, 12, 107, 7, 441, 35, 217, 69, 2, 5], [1, 12, 108, 0, 462, 0, 252, 48, 9, 4], [1, 13, 100, 28, 406, 70, 196, 76, 1, 5], [1, 13, 101, 21, 427, 35, 231, 55, 8, 4], [1, 13, 102, 14, 448, 0, 266, 34, 15, 3], [1, 14, 93, 49, 371, 105, 175, 83, 0, 5], [1, 14, 94, 42, 392, 70, 210, 62, 7, 4], [1, 14, 95, 35, 413, 35, 245, 41, 14, 3], [1, 14, 96, 28, 434, 0, 280, 20, 21, 2], [1, 15, 87, 63, 357, 105, 189, 69, 6, 4], [1, 15, 88, 56, 378, 70, 224, 48, 13, 3], [1, 15, 89, 49, 399, 35, 259, 27, 20, 2], [1, 15, 90, 42, 420, 0, 294, 6, 27, 1], [1, 16, 80, 84, 322, 140, 168, 76, 5, 4], [1, 16, 81, 77, 343, 105, 203, 55, 12, 3], [1, 16, 82, 70, 364, 70, 238, 34, 19, 2], [1, 16, 83, 63, 385, 35, 273, 13, 26, 1], [1, 17, 73, 105, 287, 175, 147, 83, 4, 4], [1, 17, 74, 98, 308, 140, 182, 62, 11, 3], [1, 17, 75, 91, 329, 105, 217, 41, 18, 2], [1, 17, 76, 84, 350, 70, 252, 20, 25, 1], [1, 18, 66, 126, 252, 210, 126, 90, 3, 4], [1, 18, 67, 119, 273, 175, 161, 69, 10, 3], [1, 18, 68, 112, 294, 140, 196, 48, 17, 2], [1, 18, 69, 105, 315, 105, 231, 27, 24, 1], [1, 18, 70, 98, 336, 70, 266, 6, 31, 0], [1, 19, 59, 147, 217, 245, 105, 97, 2, 4], [1, 19, 60, 140, 238, 210, 140, 76, 9, 3], [1, 19, 61, 133, 259, 175, 175, 55, 16, 2], [1, 19, 62, 126, 280, 140, 210, 34, 23, 1], [1, 19, 63, 119, 301, 105, 245, 13, 30, 0], [1, 20, 52, 168, 182, 280, 84, 104, 1, 4], [1, 20, 53, 161, 203, 245, 119, 83, 8, 3], [1, 20, 54, 154, 224, 210, 154, 62, 15, 2], [1, 20, 55, 147, 245, 175, 189, 41, 22, 1], [1, 20, 56, 140, 266, 140, 224, 20, 29, 0], [1, 21, 45, 189, 147, 315, 63, 111, 0, 4], [1, 21, 46, 182, 168, 280, 98, 90, 7, 3], [1, 21, 47, 175, 189, 245, 133, 69, 14, 2], [1, 21, 48, 168, 210, 210, 168, 48, 21, 1], [1, 21, 49, 161, 231, 175, 203, 27, 28, 0], [1, 22, 39, 203, 133, 315, 77, 97, 6, 3], [1, 22, 40, 196, 154, 280, 112, 76, 13, 2], [1, 22, 41, 189, 175, 245, 147, 55, 20, 1], [1, 22, 42, 182, 196, 210, 182, 34, 27, 0], [1, 23, 32, 224, 98, 350, 56, 104, 5, 3], [1, 23, 33, 217, 119, 315, 91, 83, 12, 2], [1, 23, 34, 210, 140, 280, 126, 62, 19, 1], [1, 23, 35, 203, 161, 245, 161, 41, 26, 0], [1, 24, 25, 245, 63, 385, 35, 111, 4, 3], [1, 24, 26, 238, 84, 350, 70, 90, 11, 2], [1, 24, 27, 231, 105, 315, 105, 69, 18, 1], [1, 24, 28, 224, 126, 280, 140, 48, 25, 0], [1, 25, 18, 266, 28, 420, 14, 118, 3, 3], [1, 25, 19, 259, 49, 385, 49, 97, 10, 2], [1, 25, 20, 252, 70, 350, 84, 76, 17, 1], [1, 25, 21, 245, 91, 315, 119, 55, 24, 0], [1, 26, 12, 280, 14, 420, 28, 104, 9, 2], [1, 26, 13, 273, 35, 385, 63, 83, 16, 1], [1, 26, 14, 266, 56, 350, 98, 62, 23, 0], [1, 27, 6, 294, 0, 420, 42, 90, 15, 1], [1, 27, 7, 287, 21, 385, 77, 69, 22, 0], [2, 7, 114, 14, 406, 84, 182, 82, 0, 5], [2, 7, 115, 7, 427, 49, 217, 61, 7, 4], [2, 7, 116, 0, 448, 14, 252, 40, 14, 3], [2, 8, 108, 28, 392, 84, 196, 68, 6, 4], [2, 8, 109, 21, 413, 49, 231, 47, 13, 3], [2, 8, 110, 14, 434, 14, 266, 26, 20, 2], [2, 9, 101, 49, 357, 119, 175, 75, 5, 4], [2, 9, 102, 42, 378, 84, 210, 54, 12, 3], [2, 9, 103, 35, 399, 49, 245, 33, 19, 2], [2, 9, 104, 28, 420, 14, 280, 12, 26, 1], [2, 10, 94, 70, 322, 154, 154, 82, 4, 4], [2, 10, 95, 63, 343, 119, 189, 61, 11, 3], [2, 10, 96, 56, 364, 84, 224, 40, 18, 2], [2, 10, 97, 49, 385, 49, 259, 19, 25, 1], [2, 11, 87, 91, 287, 189, 133, 89, 3, 4], [2, 11, 88, 84, 308, 154, 168, 68, 10, 3], [2, 11, 89, 77, 329, 119, 203, 47, 17, 2], [2, 11, 90, 70, 350, 84, 238, 26, 24, 1], [2, 11, 91, 63, 371, 49, 273, 5, 31, 0], [2, 12, 80, 112, 252, 224, 112, 96, 2, 4], [2, 12, 81, 105, 273, 189, 147, 75, 9, 3], [2, 12, 82, 98, 294, 154, 182, 54, 16, 2], [2, 12, 83, 91, 315, 119, 217, 33, 23, 1], [2, 12, 84, 84, 336, 84, 252, 12, 30, 0], [2, 13, 73, 133, 217, 259, 91, 103, 1, 4], [2, 13, 74, 126, 238, 224, 126, 82, 8, 3], [2, 13, 75, 119, 259, 189, 161, 61, 15, 2], [2, 13, 76, 112, 280, 154, 196, 40, 22, 1], [2, 13, 77, 105, 301, 119, 231, 19, 29, 0], [2, 14, 66, 154, 182, 294, 70, 110, 0, 4], [2, 14, 67, 147, 203, 259, 105, 89, 7, 3], [2, 14, 68, 140, 224, 224, 140, 68, 14, 2], [2, 14, 69, 133, 245, 189, 175, 47, 21, 1], [2, 14, 70, 126, 266, 154, 210, 26, 28, 0], [2, 15, 60, 168, 168, 294, 84, 96, 6, 3], [2, 15, 61, 161, 189, 259, 119, 75, 13, 2], [2, 15, 62, 154, 210, 224, 154, 54, 20, 1], [2, 15, 63, 147, 231, 189, 189, 33, 27, 0], [2, 16, 53, 189, 133, 329, 63, 103, 5, 3], [2, 16, 54, 182, 154, 294, 98, 82, 12, 2], [2, 16, 55, 175, 175, 259, 133, 61, 19, 1], [2, 16, 56, 168, 196, 224, 168, 40, 26, 0], [2, 17, 46, 210, 98, 364, 42, 110, 4, 3], [2, 17, 47, 203, 119, 329, 77, 89, 11, 2], [2, 17, 48, 196, 140, 294, 112, 68, 18, 1], [2, 17, 49, 189, 161, 259, 147, 47, 25, 0], [2, 18, 39, 231, 63, 399, 21, 117, 3, 3], [2, 18, 40, 224, 84, 364, 56, 96, 10, 2], [2, 18, 41, 217, 105, 329, 91, 75, 17, 1], [2, 18, 42, 210, 126, 294, 126, 54, 24, 0], [2, 19, 32, 252, 28, 434, 0, 124, 2, 3], [2, 19, 33, 245, 49, 399, 35, 103, 9, 2], [2, 19, 34, 238, 70, 364, 70, 82, 16, 1], [2, 19, 35, 231, 91, 329, 105, 61, 23, 0], [2, 20, 26, 266, 14, 434, 14, 110, 8, 2], [2, 20, 27, 259, 35, 399, 49, 89, 15, 1], [2, 20, 28, 252, 56, 364, 84, 68, 22, 0], [2, 21, 20, 280, 0, 434, 28, 96, 14, 1], [2, 21, 21, 273, 21, 399, 63, 75, 21, 0], [3, 2, 122, 14, 392, 98, 182, 74, 5, 4], [3, 2, 123, 7, 413, 63, 217, 53, 12, 3], [3, 2, 124, 0, 434, 28, 252, 32, 19, 2], [3, 3, 115, 35, 357, 133, 161, 81, 4, 4], [3, 3, 116, 28, 378, 98, 196, 60, 11, 3], [3, 3, 117, 21, 399, 63, 231, 39, 18, 2], [3, 3, 118, 14, 420, 28, 266, 18, 25, 1], [3, 4, 108, 56, 322, 168, 140, 88, 3, 4], [3, 4, 109, 49, 343, 133, 175, 67, 10, 3], [3, 4, 110, 42, 364, 98, 210, 46, 17, 2], [3, 4, 111, 35, 385, 63, 245, 25, 24, 1], [3, 4, 112, 28, 406, 28, 280, 4, 31, 0], [3, 5, 101, 77, 287, 203, 119, 95, 2, 4], [3, 5, 102, 70, 308, 168, 154, 74, 9, 3], [3, 5, 103, 63, 329, 133, 189, 53, 16, 2], [3, 5, 104, 56, 350, 98, 224, 32, 23, 1], [3, 5, 105, 49, 371, 63, 259, 11, 30, 0], [3, 6, 94, 98, 252, 238, 98, 102, 1, 4], [3, 6, 95, 91, 273, 203, 133, 81, 8, 3], [3, 6, 96, 84, 294, 168, 168, 60, 15, 2], [3, 6, 97, 77, 315, 133, 203, 39, 22, 1], [3, 6, 98, 70, 336, 98, 238, 18, 29, 0], [3, 7, 87, 119, 217, 273, 77, 109, 0, 4], [3, 7, 88, 112, 238, 238, 112, 88, 7, 3], [3, 7, 89, 105, 259, 203, 147, 67, 14, 2], [3, 7, 90, 98, 280, 168, 182, 46, 21, 1], [3, 7, 91, 91, 301, 133, 217, 25, 28, 0], [3, 8, 81, 133, 203, 273, 91, 95, 6, 3], [3, 8, 82, 126, 224, 238, 126, 74, 13, 2], [3, 8, 83, 119, 245, 203, 161, 53, 20, 1], [3, 8, 84, 112, 266, 168, 196, 32, 27, 0], [3, 9, 74, 154, 168, 308, 70, 102, 5, 3], [3, 9, 75, 147, 189, 273, 105, 81, 12, 2], [3, 9, 76, 140, 210, 238, 140, 60, 19, 1], [3, 9, 77, 133, 231, 203, 175, 39, 26, 0], [3, 10, 67, 175, 133, 343, 49, 109, 4, 3], [3, 10, 68, 168, 154, 308, 84, 88, 11, 2], [3, 10, 69, 161, 175, 273, 119, 67, 18, 1], [3, 10, 70, 154, 196, 238, 154, 46, 25, 0], [3, 11, 60, 196, 98, 378, 28, 116, 3, 3], [3, 11, 61, 189, 119, 343, 63, 95, 10, 2], [3, 11, 62, 182, 140, 308, 98, 74, 17, 1], [3, 11, 63, 175, 161, 273, 133, 53, 24, 0], [3, 12, 53, 217, 63, 413, 7, 123, 2, 3], [3, 12, 54, 210, 84, 378, 42, 102, 9, 2], [3, 12, 55, 203, 105, 343, 77, 81, 16, 1], [3, 12, 56, 196, 126, 308, 112, 60, 23, 0], [3, 13, 47, 231, 49, 413, 21, 109, 8, 2], [3, 13, 48, 224, 70, 378, 56, 88, 15, 1], [3, 13, 49, 217, 91, 343, 91, 67, 22, 0], [3, 14, 40, 252, 14, 448, 0, 116, 7, 2], [3, 14, 41, 245, 35, 413, 35, 95, 14, 1], [3, 14, 42, 238, 56, 378, 70, 74, 21, 0], [3, 15, 34, 266, 0, 448, 14, 102, 13, 1], [3, 15, 35, 259, 21, 413, 49, 81, 20, 0], [4, 0, 108, 84, 252, 252, 84, 108, 0, 4], [4, 0, 109, 77, 273, 217, 119, 87, 7, 3], [4, 0, 110, 70, 294, 182, 154, 66, 14, 2], [4, 0, 111, 63, 315, 147, 189, 45, 21, 1], [4, 0, 112, 56, 336, 112, 224, 24, 28, 0], [4, 1, 102, 98, 238, 252, 98, 94, 6, 3], [4, 1, 103, 91, 259, 217, 133, 73, 13, 2], [4, 1, 104, 84, 280, 182, 168, 52, 20, 1], [4, 1, 105, 77, 301, 147, 203, 31, 27, 0], [4, 2, 95, 119, 203, 287, 77, 101, 5, 3], [4, 2, 96, 112, 224, 252, 112, 80, 12, 2], [4, 2, 97, 105, 245, 217, 147, 59, 19, 1], [4, 2, 98, 98, 266, 182, 182, 38, 26, 0], [4, 3, 88, 140, 168, 322, 56, 108, 4, 3], [4, 3, 89, 133, 189, 287, 91, 87, 11, 2], [4, 3, 90, 126, 210, 252, 126, 66, 18, 1], [4, 3, 91, 119, 231, 217, 161, 45, 25, 0], [4, 4, 81, 161, 133, 357, 35, 115, 3, 3], [4, 4, 82, 154, 154, 322, 70, 94, 10, 2], [4, 4, 83, 147, 175, 287, 105, 73, 17, 1], [4, 4, 84, 140, 196, 252, 140, 52, 24, 0], [4, 5, 74, 182, 98, 392, 14, 122, 2, 3], [4, 5, 75, 175, 119, 357, 49, 101, 9, 2], [4, 5, 76, 168, 140, 322, 84, 80, 16, 1], [4, 5, 77, 161, 161, 287, 119, 59, 23, 0], [4, 6, 68, 196, 84, 392, 28, 108, 8, 2], [4, 6, 69, 189, 105, 357, 63, 87, 15, 1], [4, 6, 70, 182, 126, 322, 98, 66, 22, 0], [4, 7, 61, 217, 49, 427, 7, 115, 7, 2], [4, 7, 62, 210, 70, 392, 42, 94, 14, 1], [4, 7, 63, 203, 91, 357, 77, 73, 21, 0], [4, 8, 55, 231, 35, 427, 21, 101, 13, 1], [4, 8, 56, 224, 56, 392, 56, 80, 20, 0], [4, 9, 48, 252, 0, 462, 0, 108, 12, 1], [4, 9, 49, 245, 21, 427, 35, 87, 19, 0], [5, 0, 82, 182, 84, 406, 14, 114, 7, 2], [5, 0, 83, 175, 105, 371, 49, 93, 14, 1], [5, 0, 84, 168, 126, 336, 84, 72, 21, 0], [5, 1, 76, 196, 70, 406, 28, 100, 13, 1], [5, 1, 77, 189, 91, 371, 63, 79, 20, 0], [5, 2, 69, 217, 35, 441, 7, 107, 12, 1], [5, 2, 70, 210, 56, 406, 42, 86, 19, 0], [5, 3, 63, 231, 21, 441, 21, 93, 18, 0]}
(10, 896, 6) has 675 possible DDs: {[1, 0, 84, 24, 210, 336, 0, 216, 21, 0, 4], [1, 0, 85, 18, 224, 322, 0, 230, 7, 6, 3], [1, 0, 86, 11, 245, 287, 35, 209, 14, 5, 3], [1, 0, 87, 4, 266, 252, 70, 188, 21, 4, 3], [1, 0, 87, 5, 259, 273, 35, 223, 0, 11, 2], [1, 1, 79, 32, 210, 322, 14, 216, 13, 5, 3], [1, 1, 80, 25, 231, 287, 49, 195, 20, 4, 3], [1, 1, 81, 18, 252, 252, 84, 174, 27, 3, 3], [1, 1, 81, 19, 245, 273, 49, 209, 6, 10, 2], [1, 1, 82, 11, 273, 217, 119, 153, 34, 2, 3], [1, 1, 82, 12, 266, 238, 84, 188, 13, 9, 2], [1, 1, 83, 4, 294, 182, 154, 132, 41, 1, 3], [1, 1, 83, 5, 287, 203, 119, 167, 20, 8, 2], [1, 2, 73, 46, 196, 322, 28, 202, 19, 4, 3], [1, 2, 74, 39, 217, 287, 63, 181, 26, 3, 3], [1, 2, 74, 40, 210, 308, 28, 216, 5, 10, 2], [1, 2, 75, 32, 238, 252, 98, 160, 33, 2, 3], [1, 2, 75, 33, 231, 273, 63, 195, 12, 9, 2], [1, 2, 76, 25, 259, 217, 133, 139, 40, 1, 3], [1, 2, 76, 26, 252, 238, 98, 174, 19, 8, 2], [1, 2, 77, 18, 280, 182, 168, 118, 47, 0, 3], [1, 2, 77, 19, 273, 203, 133, 153, 26, 7, 2], [1, 2, 77, 20, 266, 224, 98, 188, 5, 14, 1], [1, 2, 78, 12, 294, 168, 168, 132, 33, 6, 2], [1, 2, 78, 13, 287, 189, 133, 167, 12, 13, 1], [1, 2, 79, 5, 315, 133, 203, 111, 40, 5, 2], [1, 2, 79, 6, 308, 154, 168, 146, 19, 12, 1], [1, 2, 80, 0, 322, 140, 168, 160, 5, 18, 0], [1, 3, 66, 67, 161, 357, 7, 209, 18, 4, 3], [1, 3, 67, 60, 182, 322, 42, 188, 25, 3, 3], [1, 3, 67, 61, 175, 343, 7, 223, 4, 10, 2], [1, 3, 68, 53, 203, 287, 77, 167, 32, 2, 3], [1, 3, 68, 54, 196, 308, 42, 202, 11, 9, 2], [1, 3, 69, 46, 224, 252, 112, 146, 39, 1, 3], [1, 3, 69, 47, 217, 273, 77, 181, 18, 8, 2], [1, 3, 70, 39, 245, 217, 147, 125, 46, 0, 3], [1, 3, 70, 40, 238, 238, 112, 160, 25, 7, 2], [1, 3, 70, 41, 231, 259, 77, 195, 4, 14, 1], [1, 3, 71, 33, 259, 203, 147, 139, 32, 6, 2], [1, 3, 71, 34, 252, 224, 112, 174, 11, 13, 1], [1, 3, 72, 26, 280, 168, 182, 118, 39, 5, 2], [1, 3, 72, 27, 273, 189, 147, 153, 18, 12, 1], [1, 3, 73, 19, 301, 133, 217, 97, 46, 4, 2], [1, 3, 73, 20, 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[2, 1, 64, 55, 259, 133, 259, 61, 55, 6, 1], [2, 1, 64, 56, 252, 154, 224, 96, 34, 13, 0], [2, 1, 65, 48, 280, 98, 294, 40, 62, 5, 1], [2, 1, 65, 49, 273, 119, 259, 75, 41, 12, 0], [2, 1, 66, 41, 301, 63, 329, 19, 69, 4, 1], [2, 1, 66, 42, 294, 84, 294, 54, 48, 11, 0], [2, 1, 67, 35, 315, 49, 329, 33, 55, 10, 0], [2, 1, 68, 28, 336, 14, 364, 12, 62, 9, 0], [2, 2, 49, 130, 70, 406, 28, 166, 40, 0, 3], [2, 2, 50, 124, 84, 392, 28, 180, 26, 6, 2], [2, 2, 51, 117, 105, 357, 63, 159, 33, 5, 2], [2, 2, 51, 118, 98, 378, 28, 194, 12, 12, 1], [2, 2, 52, 110, 126, 322, 98, 138, 40, 4, 2], [2, 2, 52, 111, 119, 343, 63, 173, 19, 11, 1], [2, 2, 53, 103, 147, 287, 133, 117, 47, 3, 2], [2, 2, 53, 104, 140, 308, 98, 152, 26, 10, 1], [2, 2, 53, 105, 133, 329, 63, 187, 5, 17, 0], [2, 2, 54, 96, 168, 252, 168, 96, 54, 2, 2], [2, 2, 54, 97, 161, 273, 133, 131, 33, 9, 1], [2, 2, 54, 98, 154, 294, 98, 166, 12, 16, 0], [2, 2, 55, 89, 189, 217, 203, 75, 61, 1, 2], [2, 2, 55, 90, 182, 238, 168, 110, 40, 8, 1], [2, 2, 55, 91, 175, 259, 133, 145, 19, 15, 0], [2, 2, 56, 82, 210, 182, 238, 54, 68, 0, 2], [2, 2, 56, 83, 203, 203, 203, 89, 47, 7, 1], [2, 2, 56, 84, 196, 224, 168, 124, 26, 14, 0], [2, 2, 57, 76, 224, 168, 238, 68, 54, 6, 1], [2, 2, 57, 77, 217, 189, 203, 103, 33, 13, 0], [2, 2, 58, 69, 245, 133, 273, 47, 61, 5, 1], [2, 2, 58, 70, 238, 154, 238, 82, 40, 12, 0], [2, 2, 59, 62, 266, 98, 308, 26, 68, 4, 1], [2, 2, 59, 63, 259, 119, 273, 61, 47, 11, 0], [2, 2, 60, 55, 287, 63, 343, 5, 75, 3, 1], [2, 2, 60, 56, 280, 84, 308, 40, 54, 10, 0], [2, 2, 61, 49, 301, 49, 343, 19, 61, 9, 0], [2, 3, 42, 151, 35, 441, 7, 173, 39, 0, 3], [2, 3, 43, 145, 49, 427, 7, 187, 25, 6, 2], [2, 3, 44, 138, 70, 392, 42, 166, 32, 5, 2], [2, 3, 44, 139, 63, 413, 7, 201, 11, 12, 1], [2, 3, 45, 131, 91, 357, 77, 145, 39, 4, 2], [2, 3, 45, 132, 84, 378, 42, 180, 18, 11, 1], [2, 3, 46, 124, 112, 322, 112, 124, 46, 3, 2], [2, 3, 46, 125, 105, 343, 77, 159, 25, 10, 1], [2, 3, 46, 126, 98, 364, 42, 194, 4, 17, 0], [2, 3, 47, 117, 133, 287, 147, 103, 53, 2, 2], [2, 3, 47, 118, 126, 308, 112, 138, 32, 9, 1], [2, 3, 47, 119, 119, 329, 77, 173, 11, 16, 0], [2, 3, 48, 110, 154, 252, 182, 82, 60, 1, 2], [2, 3, 48, 111, 147, 273, 147, 117, 39, 8, 1], [2, 3, 48, 112, 140, 294, 112, 152, 18, 15, 0], [2, 3, 49, 103, 175, 217, 217, 61, 67, 0, 2], [2, 3, 49, 104, 168, 238, 182, 96, 46, 7, 1], [2, 3, 49, 105, 161, 259, 147, 131, 25, 14, 0], [2, 3, 50, 97, 189, 203, 217, 75, 53, 6, 1], [2, 3, 50, 98, 182, 224, 182, 110, 32, 13, 0], [2, 3, 51, 90, 210, 168, 252, 54, 60, 5, 1], [2, 3, 51, 91, 203, 189, 217, 89, 39, 12, 0], [2, 3, 52, 83, 231, 133, 287, 33, 67, 4, 1], [2, 3, 52, 84, 224, 154, 252, 68, 46, 11, 0], [2, 3, 53, 76, 252, 98, 322, 12, 74, 3, 1], [2, 3, 53, 77, 245, 119, 287, 47, 53, 10, 0], [2, 3, 54, 70, 266, 84, 322, 26, 60, 9, 0], [2, 3, 55, 63, 287, 49, 357, 5, 67, 8, 0], [2, 4, 37, 159, 35, 427, 21, 173, 31, 5, 2], [2, 4, 38, 152, 56, 392, 56, 152, 38, 4, 2], [2, 4, 38, 153, 49, 413, 21, 187, 17, 11, 1], [2, 4, 39, 145, 77, 357, 91, 131, 45, 3, 2], [2, 4, 39, 146, 70, 378, 56, 166, 24, 10, 1], [2, 4, 39, 147, 63, 399, 21, 201, 3, 17, 0], [2, 4, 40, 138, 98, 322, 126, 110, 52, 2, 2], [2, 4, 40, 139, 91, 343, 91, 145, 31, 9, 1], [2, 4, 40, 140, 84, 364, 56, 180, 10, 16, 0], [2, 4, 41, 131, 119, 287, 161, 89, 59, 1, 2], [2, 4, 41, 132, 112, 308, 126, 124, 38, 8, 1], [2, 4, 41, 133, 105, 329, 91, 159, 17, 15, 0], [2, 4, 42, 124, 140, 252, 196, 68, 66, 0, 2], [2, 4, 42, 125, 133, 273, 161, 103, 45, 7, 1], [2, 4, 42, 126, 126, 294, 126, 138, 24, 14, 0], [2, 4, 43, 118, 154, 238, 196, 82, 52, 6, 1], [2, 4, 43, 119, 147, 259, 161, 117, 31, 13, 0], [2, 4, 44, 111, 175, 203, 231, 61, 59, 5, 1], [2, 4, 44, 112, 168, 224, 196, 96, 38, 12, 0], [2, 4, 45, 104, 196, 168, 266, 40, 66, 4, 1], [2, 4, 45, 105, 189, 189, 231, 75, 45, 11, 0], [2, 4, 46, 97, 217, 133, 301, 19, 73, 3, 1], [2, 4, 46, 98, 210, 154, 266, 54, 52, 10, 0], [2, 4, 47, 91, 231, 119, 301, 33, 59, 9, 0], [2, 4, 48, 84, 252, 84, 336, 12, 66, 8, 0], [2, 5, 30, 180, 0, 462, 0, 180, 30, 5, 2], [2, 5, 31, 173, 21, 427, 35, 159, 37, 4, 2], [2, 5, 31, 174, 14, 448, 0, 194, 16, 11, 1], [2, 5, 32, 166, 42, 392, 70, 138, 44, 3, 2], [2, 5, 32, 167, 35, 413, 35, 173, 23, 10, 1], [2, 5, 32, 168, 28, 434, 0, 208, 2, 17, 0], [2, 5, 33, 159, 63, 357, 105, 117, 51, 2, 2], [2, 5, 33, 160, 56, 378, 70, 152, 30, 9, 1], [2, 5, 33, 161, 49, 399, 35, 187, 9, 16, 0], [2, 5, 34, 152, 84, 322, 140, 96, 58, 1, 2], [2, 5, 34, 153, 77, 343, 105, 131, 37, 8, 1], [2, 5, 34, 154, 70, 364, 70, 166, 16, 15, 0], [2, 5, 35, 145, 105, 287, 175, 75, 65, 0, 2], [2, 5, 35, 146, 98, 308, 140, 110, 44, 7, 1], [2, 5, 35, 147, 91, 329, 105, 145, 23, 14, 0], [2, 5, 36, 139, 119, 273, 175, 89, 51, 6, 1], [2, 5, 36, 140, 112, 294, 140, 124, 30, 13, 0], [2, 5, 37, 132, 140, 238, 210, 68, 58, 5, 1], [2, 5, 37, 133, 133, 259, 175, 103, 37, 12, 0], [2, 5, 38, 125, 161, 203, 245, 47, 65, 4, 1], [2, 5, 38, 126, 154, 224, 210, 82, 44, 11, 0], [2, 5, 39, 118, 182, 168, 280, 26, 72, 3, 1], [2, 5, 39, 119, 175, 189, 245, 61, 51, 10, 0], [2, 5, 40, 111, 203, 133, 315, 5, 79, 2, 1], [2, 5, 40, 112, 196, 154, 280, 40, 58, 9, 0], [2, 5, 41, 105, 217, 119, 315, 19, 65, 8, 0], [2, 6, 25, 187, 7, 427, 49, 145, 43, 3, 2], [2, 6, 25, 188, 0, 448, 14, 180, 22, 10, 1], [2, 6, 26, 180, 28, 392, 84, 124, 50, 2, 2], [2, 6, 26, 181, 21, 413, 49, 159, 29, 9, 1], [2, 6, 26, 182, 14, 434, 14, 194, 8, 16, 0], [2, 6, 27, 173, 49, 357, 119, 103, 57, 1, 2], [2, 6, 27, 174, 42, 378, 84, 138, 36, 8, 1], [2, 6, 27, 175, 35, 399, 49, 173, 15, 15, 0], [2, 6, 28, 166, 70, 322, 154, 82, 64, 0, 2], [2, 6, 28, 167, 63, 343, 119, 117, 43, 7, 1], [2, 6, 28, 168, 56, 364, 84, 152, 22, 14, 0], [2, 6, 29, 160, 84, 308, 154, 96, 50, 6, 1], [2, 6, 29, 161, 77, 329, 119, 131, 29, 13, 0], [2, 6, 30, 153, 105, 273, 189, 75, 57, 5, 1], [2, 6, 30, 154, 98, 294, 154, 110, 36, 12, 0], [2, 6, 31, 146, 126, 238, 224, 54, 64, 4, 1], [2, 6, 31, 147, 119, 259, 189, 89, 43, 11, 0], [2, 6, 32, 139, 147, 203, 259, 33, 71, 3, 1], [2, 6, 32, 140, 140, 224, 224, 68, 50, 10, 0], [2, 6, 33, 132, 168, 168, 294, 12, 78, 2, 1], [2, 6, 33, 133, 161, 189, 259, 47, 57, 9, 0], [2, 6, 34, 126, 182, 154, 294, 26, 64, 8, 0], [2, 6, 35, 119, 203, 119, 329, 5, 71, 7, 0], [2, 7, 20, 194, 14, 392, 98, 110, 56, 1, 2], [2, 7, 20, 195, 7, 413, 63, 145, 35, 8, 1], [2, 7, 20, 196, 0, 434, 28, 180, 14, 15, 0], [2, 7, 21, 187, 35, 357, 133, 89, 63, 0, 2], [2, 7, 21, 188, 28, 378, 98, 124, 42, 7, 1], [2, 7, 21, 189, 21, 399, 63, 159, 21, 14, 0], [2, 7, 22, 181, 49, 343, 133, 103, 49, 6, 1], [2, 7, 22, 182, 42, 364, 98, 138, 28, 13, 0], [2, 7, 23, 174, 70, 308, 168, 82, 56, 5, 1], [2, 7, 23, 175, 63, 329, 133, 117, 35, 12, 0], [2, 7, 24, 167, 91, 273, 203, 61, 63, 4, 1], [2, 7, 24, 168, 84, 294, 168, 96, 42, 11, 0], [2, 7, 25, 160, 112, 238, 238, 40, 70, 3, 1], [2, 7, 25, 161, 105, 259, 203, 75, 49, 10, 0], [2, 7, 26, 153, 133, 203, 273, 19, 77, 2, 1], [2, 7, 26, 154, 126, 224, 238, 54, 56, 9, 0], [2, 7, 27, 147, 147, 189, 273, 33, 63, 8, 0], [2, 7, 28, 140, 168, 154, 308, 12, 70, 7, 0], [2, 8, 14, 208, 0, 392, 112, 96, 62, 0, 2], [2, 8, 15, 202, 14, 378, 112, 110, 48, 6, 1], [2, 8, 15, 203, 7, 399, 77, 145, 27, 13, 0], [2, 8, 16, 195, 35, 343, 147, 89, 55, 5, 1], [2, 8, 16, 196, 28, 364, 112, 124, 34, 12, 0], [2, 8, 17, 188, 56, 308, 182, 68, 62, 4, 1], [2, 8, 17, 189, 49, 329, 147, 103, 41, 11, 0], [2, 8, 18, 181, 77, 273, 217, 47, 69, 3, 1], [2, 8, 18, 182, 70, 294, 182, 82, 48, 10, 0], [2, 8, 19, 174, 98, 238, 252, 26, 76, 2, 1], [2, 8, 19, 175, 91, 259, 217, 61, 55, 9, 0], [2, 8, 20, 167, 119, 203, 287, 5, 83, 1, 1], [2, 8, 20, 168, 112, 224, 252, 40, 62, 8, 0], [2, 8, 21, 161, 133, 189, 287, 19, 69, 7, 0], [2, 9, 9, 216, 0, 378, 126, 96, 54, 5, 1], [2, 9, 10, 209, 21, 343, 161, 75, 61, 4, 1], [2, 9, 10, 210, 14, 364, 126, 110, 40, 11, 0], [2, 9, 11, 202, 42, 308, 196, 54, 68, 3, 1], [2, 9, 11, 203, 35, 329, 161, 89, 47, 10, 0], [2, 9, 12, 195, 63, 273, 231, 33, 75, 2, 1], [2, 9, 12, 196, 56, 294, 196, 68, 54, 9, 0], [2, 9, 13, 188, 84, 238, 266, 12, 82, 1, 1], [2, 9, 13, 189, 77, 259, 231, 47, 61, 8, 0], [2, 9, 14, 182, 98, 224, 266, 26, 68, 7, 0], [2, 9, 15, 175, 119, 189, 301, 5, 75, 6, 0], [2, 10, 4, 223, 7, 343, 175, 61, 67, 3, 1], [2, 10, 4, 224, 0, 364, 140, 96, 46, 10, 0], [2, 10, 5, 216, 28, 308, 210, 40, 74, 2, 1], [2, 10, 5, 217, 21, 329, 175, 75, 53, 9, 0], [2, 10, 6, 209, 49, 273, 245, 19, 81, 1, 1], [2, 10, 6, 210, 42, 294, 210, 54, 60, 8, 0], [2, 10, 7, 203, 63, 259, 245, 33, 67, 7, 0], [2, 10, 8, 196, 84, 224, 280, 12, 74, 6, 0], [2, 11, 0, 223, 35, 273, 259, 5, 87, 0, 1], [2, 11, 0, 224, 28, 294, 224, 40, 66, 7, 0], [2, 11, 1, 217, 49, 259, 259, 19, 73, 6, 0], [3, 0, 39, 173, 7, 441, 35, 151, 42, 3, 2], [3, 0, 39, 174, 0, 462, 0, 186, 21, 10, 1], [3, 0, 40, 166, 28, 406, 70, 130, 49, 2, 2], [3, 0, 40, 167, 21, 427, 35, 165, 28, 9, 1], [3, 0, 40, 168, 14, 448, 0, 200, 7, 16, 0], [3, 0, 41, 159, 49, 371, 105, 109, 56, 1, 2], [3, 0, 41, 160, 42, 392, 70, 144, 35, 8, 1], [3, 0, 41, 161, 35, 413, 35, 179, 14, 15, 0], [3, 0, 42, 152, 70, 336, 140, 88, 63, 0, 2], [3, 0, 42, 153, 63, 357, 105, 123, 42, 7, 1], [3, 0, 42, 154, 56, 378, 70, 158, 21, 14, 0], [3, 0, 43, 146, 84, 322, 140, 102, 49, 6, 1], [3, 0, 43, 147, 77, 343, 105, 137, 28, 13, 0], [3, 0, 44, 139, 105, 287, 175, 81, 56, 5, 1], [3, 0, 44, 140, 98, 308, 140, 116, 35, 12, 0], [3, 0, 45, 132, 126, 252, 210, 60, 63, 4, 1], [3, 0, 45, 133, 119, 273, 175, 95, 42, 11, 0], [3, 0, 46, 125, 147, 217, 245, 39, 70, 3, 1], [3, 0, 46, 126, 140, 238, 210, 74, 49, 10, 0], [3, 0, 47, 118, 168, 182, 280, 18, 77, 2, 1], [3, 0, 47, 119, 161, 203, 245, 53, 56, 9, 0], [3, 0, 48, 112, 182, 168, 280, 32, 63, 8, 0], [3, 0, 49, 105, 203, 133, 315, 11, 70, 7, 0], [3, 1, 34, 180, 14, 406, 84, 116, 55, 1, 2], [3, 1, 34, 181, 7, 427, 49, 151, 34, 8, 1], [3, 1, 34, 182, 0, 448, 14, 186, 13, 15, 0], [3, 1, 35, 173, 35, 371, 119, 95, 62, 0, 2], [3, 1, 35, 174, 28, 392, 84, 130, 41, 7, 1], [3, 1, 35, 175, 21, 413, 49, 165, 20, 14, 0], [3, 1, 36, 167, 49, 357, 119, 109, 48, 6, 1], [3, 1, 36, 168, 42, 378, 84, 144, 27, 13, 0], [3, 1, 37, 160, 70, 322, 154, 88, 55, 5, 1], [3, 1, 37, 161, 63, 343, 119, 123, 34, 12, 0], [3, 1, 38, 153, 91, 287, 189, 67, 62, 4, 1], [3, 1, 38, 154, 84, 308, 154, 102, 41, 11, 0], [3, 1, 39, 146, 112, 252, 224, 46, 69, 3, 1], [3, 1, 39, 147, 105, 273, 189, 81, 48, 10, 0], [3, 1, 40, 139, 133, 217, 259, 25, 76, 2, 1], [3, 1, 40, 140, 126, 238, 224, 60, 55, 9, 0], [3, 1, 41, 132, 154, 182, 294, 4, 83, 1, 1], [3, 1, 41, 133, 147, 203, 259, 39, 62, 8, 0], [3, 1, 42, 126, 168, 168, 294, 18, 69, 7, 0], [3, 2, 28, 194, 0, 406, 98, 102, 61, 0, 2], [3, 2, 29, 188, 14, 392, 98, 116, 47, 6, 1], [3, 2, 29, 189, 7, 413, 63, 151, 26, 13, 0], [3, 2, 30, 181, 35, 357, 133, 95, 54, 5, 1], [3, 2, 30, 182, 28, 378, 98, 130, 33, 12, 0], [3, 2, 31, 174, 56, 322, 168, 74, 61, 4, 1], [3, 2, 31, 175, 49, 343, 133, 109, 40, 11, 0], [3, 2, 32, 167, 77, 287, 203, 53, 68, 3, 1], [3, 2, 32, 168, 70, 308, 168, 88, 47, 10, 0], [3, 2, 33, 160, 98, 252, 238, 32, 75, 2, 1], [3, 2, 33, 161, 91, 273, 203, 67, 54, 9, 0], [3, 2, 34, 153, 119, 217, 273, 11, 82, 1, 1], [3, 2, 34, 154, 112, 238, 238, 46, 61, 8, 0], [3, 2, 35, 147, 133, 203, 273, 25, 68, 7, 0], [3, 2, 36, 140, 154, 168, 308, 4, 75, 6, 0], [3, 3, 23, 202, 0, 392, 112, 102, 53, 5, 1], [3, 3, 24, 195, 21, 357, 147, 81, 60, 4, 1], [3, 3, 24, 196, 14, 378, 112, 116, 39, 11, 0], [3, 3, 25, 188, 42, 322, 182, 60, 67, 3, 1], [3, 3, 25, 189, 35, 343, 147, 95, 46, 10, 0], [3, 3, 26, 181, 63, 287, 217, 39, 74, 2, 1], [3, 3, 26, 182, 56, 308, 182, 74, 53, 9, 0], [3, 3, 27, 174, 84, 252, 252, 18, 81, 1, 1], [3, 3, 27, 175, 77, 273, 217, 53, 60, 8, 0], [3, 3, 28, 168, 98, 238, 252, 32, 67, 7, 0], [3, 3, 29, 161, 119, 203, 287, 11, 74, 6, 0], [3, 4, 18, 209, 7, 357, 161, 67, 66, 3, 1], [3, 4, 18, 210, 0, 378, 126, 102, 45, 10, 0], [3, 4, 19, 202, 28, 322, 196, 46, 73, 2, 1], [3, 4, 19, 203, 21, 343, 161, 81, 52, 9, 0], [3, 4, 20, 195, 49, 287, 231, 25, 80, 1, 1], [3, 4, 20, 196, 42, 308, 196, 60, 59, 8, 0], [3, 4, 21, 188, 70, 252, 266, 4, 87, 0, 1], [3, 4, 21, 189, 63, 273, 231, 39, 66, 7, 0], [3, 4, 22, 182, 84, 238, 266, 18, 73, 6, 0], [3, 5, 13, 216, 14, 322, 210, 32, 79, 1, 1], [3, 5, 13, 217, 7, 343, 175, 67, 58, 8, 0], [3, 5, 14, 209, 35, 287, 245, 11, 86, 0, 1], [3, 5, 14, 210, 28, 308, 210, 46, 65, 7, 0], [3, 5, 15, 203, 49, 273, 245, 25, 72, 6, 0], [3, 5, 16, 196, 70, 238, 280, 4, 79, 5, 0], [3, 6, 7, 230, 0, 322, 224, 18, 85, 0, 1], [3, 6, 8, 224, 14, 308, 224, 32, 71, 6, 0], [3, 6, 9, 217, 35, 273, 259, 11, 78, 5, 0], [3, 7, 2, 238, 0, 308, 238, 18, 77, 5, 0], [4, 0, 21, 216, 0, 336, 210, 24, 84, 0, 1], [4, 0, 22, 210, 14, 322, 210, 38, 70, 6, 0], [4, 0, 23, 203, 35, 287, 245, 17, 77, 5, 0], [4, 1, 16, 224, 0, 322, 224, 24, 76, 5, 0], [4, 1, 17, 217, 21, 287, 259, 3, 83, 4, 0]}
(11, 896, 6) has 1710 possible DDs: {[1, 0, 30, 109, 5, 399, 91, 125, 126, 5, 3, 2], [1, 0, 31, 102, 26, 364, 126, 104, 133, 4, 3, 2], [1, 0, 31, 103, 19, 385, 91, 139, 112, 11, 2, 2], [1, 0, 31, 104, 12, 406, 56, 174, 91, 18, 1, 2], [1, 0, 31, 105, 5, 427, 21, 209, 70, 25, 0, 2], [1, 0, 31, 105, 6, 420, 42, 174, 105, 4, 7, 1], [1, 0, 32, 95, 47, 329, 161, 83, 140, 3, 3, 2], [1, 0, 32, 96, 40, 350, 126, 118, 119, 10, 2, 2], [1, 0, 32, 97, 33, 371, 91, 153, 98, 17, 1, 2], [1, 0, 32, 98, 26, 392, 56, 188, 77, 24, 0, 2], [1, 0, 32, 98, 27, 385, 77, 153, 112, 3, 7, 1], [1, 0, 32, 99, 20, 406, 42, 188, 91, 10, 6, 1], [1, 0, 32, 100, 13, 427, 7, 223, 70, 17, 5, 1], [1, 0, 33, 88, 68, 294, 196, 62, 147, 2, 3, 2], [1, 0, 33, 89, 61, 315, 161, 97, 126, 9, 2, 2], [1, 0, 33, 90, 54, 336, 126, 132, 105, 16, 1, 2], [1, 0, 33, 91, 47, 357, 91, 167, 84, 23, 0, 2], [1, 0, 33, 91, 48, 350, 112, 132, 119, 2, 7, 1], [1, 0, 33, 92, 41, 371, 77, 167, 98, 9, 6, 1], [1, 0, 33, 93, 34, 392, 42, 202, 77, 16, 5, 1], [1, 0, 33, 94, 27, 413, 7, 237, 56, 23, 4, 1], [1, 0, 33, 94, 28, 406, 28, 202, 91, 2, 11, 0], [1, 0, 34, 81, 89, 259, 231, 41, 154, 1, 3, 2], [1, 0, 34, 82, 82, 280, 196, 76, 133, 8, 2, 2], [1, 0, 34, 83, 75, 301, 161, 111, 112, 15, 1, 2], [1, 0, 34, 84, 68, 322, 126, 146, 91, 22, 0, 2], [1, 0, 34, 84, 69, 315, 147, 111, 126, 1, 7, 1], [1, 0, 34, 85, 62, 336, 112, 146, 105, 8, 6, 1], [1, 0, 34, 86, 55, 357, 77, 181, 84, 15, 5, 1], [1, 0, 34, 87, 48, 378, 42, 216, 63, 22, 4, 1], [1, 0, 34, 87, 49, 371, 63, 181, 98, 1, 11, 0], [1, 0, 34, 88, 41, 399, 7, 251, 42, 29, 3, 1], [1, 0, 34, 88, 42, 392, 28, 216, 77, 8, 10, 0], [1, 0, 35, 74, 110, 224, 266, 20, 161, 0, 3, 2], [1, 0, 35, 75, 103, 245, 231, 55, 140, 7, 2, 2], [1, 0, 35, 76, 96, 266, 196, 90, 119, 14, 1, 2], [1, 0, 35, 77, 89, 287, 161, 125, 98, 21, 0, 2], [1, 0, 35, 77, 90, 280, 182, 90, 133, 0, 7, 1], [1, 0, 35, 78, 83, 301, 147, 125, 112, 7, 6, 1], [1, 0, 35, 79, 76, 322, 112, 160, 91, 14, 5, 1], [1, 0, 35, 80, 69, 343, 77, 195, 70, 21, 4, 1], [1, 0, 35, 80, 70, 336, 98, 160, 105, 0, 11, 0], [1, 0, 35, 81, 62, 364, 42, 230, 49, 28, 3, 1], [1, 0, 35, 81, 63, 357, 63, 195, 84, 7, 10, 0], [1, 0, 35, 82, 55, 385, 7, 265, 28, 35, 2, 1], [1, 0, 35, 82, 56, 378, 28, 230, 63, 14, 9, 0], [1, 0, 36, 68, 124, 210, 266, 34, 147, 6, 2, 2], [1, 0, 36, 69, 117, 231, 231, 69, 126, 13, 1, 2], [1, 0, 36, 70, 110, 252, 196, 104, 105, 20, 0, 2], [1, 0, 36, 71, 104, 266, 182, 104, 119, 6, 6, 1], [1, 0, 36, 72, 97, 287, 147, 139, 98, 13, 5, 1], [1, 0, 36, 73, 90, 308, 112, 174, 77, 20, 4, 1], [1, 0, 36, 74, 83, 329, 77, 209, 56, 27, 3, 1], [1, 0, 36, 74, 84, 322, 98, 174, 91, 6, 10, 0], [1, 0, 36, 75, 76, 350, 42, 244, 35, 34, 2, 1], [1, 0, 36, 75, 77, 343, 63, 209, 70, 13, 9, 0], [1, 0, 36, 76, 69, 371, 7, 279, 14, 41, 1, 1], [1, 0, 36, 76, 70, 364, 28, 244, 49, 20, 8, 0], [1, 0, 37, 61, 145, 175, 301, 13, 154, 5, 2, 2], [1, 0, 37, 62, 138, 196, 266, 48, 133, 12, 1, 2], [1, 0, 37, 63, 131, 217, 231, 83, 112, 19, 0, 2], [1, 0, 37, 64, 125, 231, 217, 83, 126, 5, 6, 1], [1, 0, 37, 65, 118, 252, 182, 118, 105, 12, 5, 1], [1, 0, 37, 66, 111, 273, 147, 153, 84, 19, 4, 1], [1, 0, 37, 67, 104, 294, 112, 188, 63, 26, 3, 1], [1, 0, 37, 67, 105, 287, 133, 153, 98, 5, 10, 0], [1, 0, 37, 68, 97, 315, 77, 223, 42, 33, 2, 1], [1, 0, 37, 68, 98, 308, 98, 188, 77, 12, 9, 0], [1, 0, 37, 69, 90, 336, 42, 258, 21, 40, 1, 1], [1, 0, 37, 69, 91, 329, 63, 223, 56, 19, 8, 0], [1, 0, 37, 70, 83, 357, 7, 293, 0, 47, 0, 1], [1, 0, 37, 70, 84, 350, 28, 258, 35, 26, 7, 0], [1, 0, 38, 55, 159, 161, 301, 27, 140, 11, 1, 2], [1, 0, 38, 56, 152, 182, 266, 62, 119, 18, 0, 2], [1, 0, 38, 57, 146, 196, 252, 62, 133, 4, 6, 1], [1, 0, 38, 58, 139, 217, 217, 97, 112, 11, 5, 1], [1, 0, 38, 59, 132, 238, 182, 132, 91, 18, 4, 1], [1, 0, 38, 60, 125, 259, 147, 167, 70, 25, 3, 1], [1, 0, 38, 60, 126, 252, 168, 132, 105, 4, 10, 0], [1, 0, 38, 61, 118, 280, 112, 202, 49, 32, 2, 1], [1, 0, 38, 61, 119, 273, 133, 167, 84, 11, 9, 0], [1, 0, 38, 62, 111, 301, 77, 237, 28, 39, 1, 1], [1, 0, 38, 62, 112, 294, 98, 202, 63, 18, 8, 0], [1, 0, 38, 63, 104, 322, 42, 272, 7, 46, 0, 1], [1, 0, 38, 63, 105, 315, 63, 237, 42, 25, 7, 0], [1, 0, 38, 64, 98, 336, 28, 272, 21, 32, 6, 0], [1, 0, 39, 48, 180, 126, 336, 6, 147, 10, 1, 2], [1, 0, 39, 49, 173, 147, 301, 41, 126, 17, 0, 2], [1, 0, 39, 50, 167, 161, 287, 41, 140, 3, 6, 1], [1, 0, 39, 51, 160, 182, 252, 76, 119, 10, 5, 1], [1, 0, 39, 52, 153, 203, 217, 111, 98, 17, 4, 1], [1, 0, 39, 53, 146, 224, 182, 146, 77, 24, 3, 1], [1, 0, 39, 53, 147, 217, 203, 111, 112, 3, 10, 0], [1, 0, 39, 54, 139, 245, 147, 181, 56, 31, 2, 1], [1, 0, 39, 54, 140, 238, 168, 146, 91, 10, 9, 0], [1, 0, 39, 55, 132, 266, 112, 216, 35, 38, 1, 1], [1, 0, 39, 55, 133, 259, 133, 181, 70, 17, 8, 0], [1, 0, 39, 56, 125, 287, 77, 251, 14, 45, 0, 1], [1, 0, 39, 56, 126, 280, 98, 216, 49, 24, 7, 0], [1, 0, 39, 57, 119, 301, 63, 251, 28, 31, 6, 0], [1, 0, 39, 58, 112, 322, 28, 286, 7, 38, 5, 0], [1, 0, 40, 42, 194, 112, 336, 20, 133, 16, 0, 2], [1, 0, 40, 43, 188, 126, 322, 20, 147, 2, 6, 1], [1, 0, 40, 44, 181, 147, 287, 55, 126, 9, 5, 1], [1, 0, 40, 45, 174, 168, 252, 90, 105, 16, 4, 1], [1, 0, 40, 46, 167, 189, 217, 125, 84, 23, 3, 1], [1, 0, 40, 46, 168, 182, 238, 90, 119, 2, 10, 0], [1, 0, 40, 47, 160, 210, 182, 160, 63, 30, 2, 1], [1, 0, 40, 47, 161, 203, 203, 125, 98, 9, 9, 0], [1, 0, 40, 48, 153, 231, 147, 195, 42, 37, 1, 1], [1, 0, 40, 48, 154, 224, 168, 160, 77, 16, 8, 0], [1, 0, 40, 49, 146, 252, 112, 230, 21, 44, 0, 1], [1, 0, 40, 49, 147, 245, 133, 195, 56, 23, 7, 0], [1, 0, 40, 50, 140, 266, 98, 230, 35, 30, 6, 0], [1, 0, 40, 51, 133, 287, 63, 265, 14, 37, 5, 0], [1, 0, 41, 37, 202, 112, 322, 34, 133, 8, 5, 1], [1, 0, 41, 38, 195, 133, 287, 69, 112, 15, 4, 1], [1, 0, 41, 39, 188, 154, 252, 104, 91, 22, 3, 1], [1, 0, 41, 39, 189, 147, 273, 69, 126, 1, 10, 0], [1, 0, 41, 40, 181, 175, 217, 139, 70, 29, 2, 1], [1, 0, 41, 40, 182, 168, 238, 104, 105, 8, 9, 0], [1, 0, 41, 41, 174, 196, 182, 174, 49, 36, 1, 1], [1, 0, 41, 41, 175, 189, 203, 139, 84, 15, 8, 0], [1, 0, 41, 42, 167, 217, 147, 209, 28, 43, 0, 1], [1, 0, 41, 42, 168, 210, 168, 174, 63, 22, 7, 0], [1, 0, 41, 43, 161, 231, 133, 209, 42, 29, 6, 0], [1, 0, 41, 44, 154, 252, 98, 244, 21, 36, 5, 0], [1, 0, 41, 45, 147, 273, 63, 279, 0, 43, 4, 0], [1, 0, 42, 30, 223, 77, 357, 13, 140, 7, 5, 1], [1, 0, 42, 31, 216, 98, 322, 48, 119, 14, 4, 1], [1, 0, 42, 32, 209, 119, 287, 83, 98, 21, 3, 1], [1, 0, 42, 32, 210, 112, 308, 48, 133, 0, 10, 0], [1, 0, 42, 33, 202, 140, 252, 118, 77, 28, 2, 1], [1, 0, 42, 33, 203, 133, 273, 83, 112, 7, 9, 0], [1, 0, 42, 34, 195, 161, 217, 153, 56, 35, 1, 1], [1, 0, 42, 34, 196, 154, 238, 118, 91, 14, 8, 0], [1, 0, 42, 35, 188, 182, 182, 188, 35, 42, 0, 1], [1, 0, 42, 35, 189, 175, 203, 153, 70, 21, 7, 0], [1, 0, 42, 36, 182, 196, 168, 188, 49, 28, 6, 0], [1, 0, 42, 37, 175, 217, 133, 223, 28, 35, 5, 0], [1, 0, 42, 38, 168, 238, 98, 258, 7, 42, 4, 0], [1, 0, 43, 24, 237, 63, 357, 27, 126, 13, 4, 1], [1, 0, 43, 25, 230, 84, 322, 62, 105, 20, 3, 1], [1, 0, 43, 26, 223, 105, 287, 97, 84, 27, 2, 1], [1, 0, 43, 26, 224, 98, 308, 62, 119, 6, 9, 0], [1, 0, 43, 27, 216, 126, 252, 132, 63, 34, 1, 1], [1, 0, 43, 27, 217, 119, 273, 97, 98, 13, 8, 0], [1, 0, 43, 28, 209, 147, 217, 167, 42, 41, 0, 1], [1, 0, 43, 28, 210, 140, 238, 132, 77, 20, 7, 0], [1, 0, 43, 29, 203, 161, 203, 167, 56, 27, 6, 0], [1, 0, 43, 30, 196, 182, 168, 202, 35, 34, 5, 0], [1, 0, 43, 31, 189, 203, 133, 237, 14, 41, 4, 0], [1, 0, 44, 17, 258, 28, 392, 6, 133, 12, 4, 1], [1, 0, 44, 18, 251, 49, 357, 41, 112, 19, 3, 1], [1, 0, 44, 19, 244, 70, 322, 76, 91, 26, 2, 1], [1, 0, 44, 19, 245, 63, 343, 41, 126, 5, 9, 0], [1, 0, 44, 20, 237, 91, 287, 111, 70, 33, 1, 1], [1, 0, 44, 20, 238, 84, 308, 76, 105, 12, 8, 0], [1, 0, 44, 21, 230, 112, 252, 146, 49, 40, 0, 1], [1, 0, 44, 21, 231, 105, 273, 111, 84, 19, 7, 0], [1, 0, 44, 22, 224, 126, 238, 146, 63, 26, 6, 0], [1, 0, 44, 23, 217, 147, 203, 181, 42, 33, 5, 0], [1, 0, 44, 24, 210, 168, 168, 216, 21, 40, 4, 0], [1, 0, 44, 25, 203, 189, 133, 251, 0, 47, 3, 0], [1, 0, 45, 11, 272, 14, 392, 20, 119, 18, 3, 1], [1, 0, 45, 12, 265, 35, 357, 55, 98, 25, 2, 1], [1, 0, 45, 12, 266, 28, 378, 20, 133, 4, 9, 0], [1, 0, 45, 13, 258, 56, 322, 90, 77, 32, 1, 1], [1, 0, 45, 13, 259, 49, 343, 55, 112, 11, 8, 0], [1, 0, 45, 14, 251, 77, 287, 125, 56, 39, 0, 1], [1, 0, 45, 14, 252, 70, 308, 90, 91, 18, 7, 0], [1, 0, 45, 15, 245, 91, 273, 125, 70, 25, 6, 0], [1, 0, 45, 16, 238, 112, 238, 160, 49, 32, 5, 0], [1, 0, 45, 17, 231, 133, 203, 195, 28, 39, 4, 0], [1, 0, 45, 18, 224, 154, 168, 230, 7, 46, 3, 0], [1, 0, 46, 5, 286, 0, 392, 34, 105, 24, 2, 1], [1, 0, 46, 6, 279, 21, 357, 69, 84, 31, 1, 1], [1, 0, 46, 6, 280, 14, 378, 34, 119, 10, 8, 0], [1, 0, 46, 7, 272, 42, 322, 104, 63, 38, 0, 1], [1, 0, 46, 7, 273, 35, 343, 69, 98, 17, 7, 0], [1, 0, 46, 8, 266, 56, 308, 104, 77, 24, 6, 0], [1, 0, 46, 9, 259, 77, 273, 139, 56, 31, 5, 0], [1, 0, 46, 10, 252, 98, 238, 174, 35, 38, 4, 0], [1, 0, 46, 11, 245, 119, 203, 209, 14, 45, 3, 0], [1, 0, 47, 0, 293, 7, 357, 83, 70, 37, 0, 1], [1, 0, 47, 0, 294, 0, 378, 48, 105, 16, 7, 0], [1, 0, 47, 1, 287, 21, 343, 83, 84, 23, 6, 0], [1, 0, 47, 2, 280, 42, 308, 118, 63, 30, 5, 0], [1, 0, 47, 3, 273, 63, 273, 153, 42, 37, 4, 0], [1, 0, 47, 4, 266, 84, 238, 188, 21, 44, 3, 0], [1, 0, 47, 5, 259, 105, 203, 223, 0, 51, 2, 0], [1, 1, 25, 116, 12, 364, 140, 90, 139, 3, 3, 2], [1, 1, 25, 117, 5, 385, 105, 125, 118, 10, 2, 2], [1, 1, 26, 109, 33, 329, 175, 69, 146, 2, 3, 2], [1, 1, 26, 110, 26, 350, 140, 104, 125, 9, 2, 2], [1, 1, 26, 111, 19, 371, 105, 139, 104, 16, 1, 2], [1, 1, 26, 112, 12, 392, 70, 174, 83, 23, 0, 2], [1, 1, 26, 112, 13, 385, 91, 139, 118, 2, 7, 1], [1, 1, 26, 113, 6, 406, 56, 174, 97, 9, 6, 1], [1, 1, 27, 102, 54, 294, 210, 48, 153, 1, 3, 2], [1, 1, 27, 103, 47, 315, 175, 83, 132, 8, 2, 2], [1, 1, 27, 104, 40, 336, 140, 118, 111, 15, 1, 2], [1, 1, 27, 105, 33, 357, 105, 153, 90, 22, 0, 2], [1, 1, 27, 105, 34, 350, 126, 118, 125, 1, 7, 1], [1, 1, 27, 106, 27, 371, 91, 153, 104, 8, 6, 1], [1, 1, 27, 107, 20, 392, 56, 188, 83, 15, 5, 1], [1, 1, 27, 108, 13, 413, 21, 223, 62, 22, 4, 1], [1, 1, 27, 108, 14, 406, 42, 188, 97, 1, 11, 0], [1, 1, 27, 109, 7, 427, 7, 223, 76, 8, 10, 0], [1, 1, 28, 95, 75, 259, 245, 27, 160, 0, 3, 2], [1, 1, 28, 96, 68, 280, 210, 62, 139, 7, 2, 2], [1, 1, 28, 97, 61, 301, 175, 97, 118, 14, 1, 2], [1, 1, 28, 98, 54, 322, 140, 132, 97, 21, 0, 2], [1, 1, 28, 98, 55, 315, 161, 97, 132, 0, 7, 1], [1, 1, 28, 99, 48, 336, 126, 132, 111, 7, 6, 1], [1, 1, 28, 100, 41, 357, 91, 167, 90, 14, 5, 1], [1, 1, 28, 101, 34, 378, 56, 202, 69, 21, 4, 1], [1, 1, 28, 101, 35, 371, 77, 167, 104, 0, 11, 0], [1, 1, 28, 102, 27, 399, 21, 237, 48, 28, 3, 1], [1, 1, 28, 102, 28, 392, 42, 202, 83, 7, 10, 0], [1, 1, 28, 103, 21, 413, 7, 237, 62, 14, 9, 0], [1, 1, 29, 89, 89, 245, 245, 41, 146, 6, 2, 2], [1, 1, 29, 90, 82, 266, 210, 76, 125, 13, 1, 2], [1, 1, 29, 91, 75, 287, 175, 111, 104, 20, 0, 2], [1, 1, 29, 92, 69, 301, 161, 111, 118, 6, 6, 1], [1, 1, 29, 93, 62, 322, 126, 146, 97, 13, 5, 1], [1, 1, 29, 94, 55, 343, 91, 181, 76, 20, 4, 1], [1, 1, 29, 95, 48, 364, 56, 216, 55, 27, 3, 1], [1, 1, 29, 95, 49, 357, 77, 181, 90, 6, 10, 0], [1, 1, 29, 96, 41, 385, 21, 251, 34, 34, 2, 1], [1, 1, 29, 96, 42, 378, 42, 216, 69, 13, 9, 0], [1, 1, 29, 97, 35, 399, 7, 251, 48, 20, 8, 0], [1, 1, 30, 82, 110, 210, 280, 20, 153, 5, 2, 2], [1, 1, 30, 83, 103, 231, 245, 55, 132, 12, 1, 2], [1, 1, 30, 84, 96, 252, 210, 90, 111, 19, 0, 2], [1, 1, 30, 85, 90, 266, 196, 90, 125, 5, 6, 1], [1, 1, 30, 86, 83, 287, 161, 125, 104, 12, 5, 1], [1, 1, 30, 87, 76, 308, 126, 160, 83, 19, 4, 1], [1, 1, 30, 88, 69, 329, 91, 195, 62, 26, 3, 1], [1, 1, 30, 88, 70, 322, 112, 160, 97, 5, 10, 0], [1, 1, 30, 89, 62, 350, 56, 230, 41, 33, 2, 1], [1, 1, 30, 89, 63, 343, 77, 195, 76, 12, 9, 0], [1, 1, 30, 90, 55, 371, 21, 265, 20, 40, 1, 1], [1, 1, 30, 90, 56, 364, 42, 230, 55, 19, 8, 0], [1, 1, 30, 91, 49, 385, 7, 265, 34, 26, 7, 0], [1, 1, 31, 76, 124, 196, 280, 34, 139, 11, 1, 2], [1, 1, 31, 77, 117, 217, 245, 69, 118, 18, 0, 2], [1, 1, 31, 78, 111, 231, 231, 69, 132, 4, 6, 1], [1, 1, 31, 79, 104, 252, 196, 104, 111, 11, 5, 1], [1, 1, 31, 80, 97, 273, 161, 139, 90, 18, 4, 1], [1, 1, 31, 81, 90, 294, 126, 174, 69, 25, 3, 1], [1, 1, 31, 81, 91, 287, 147, 139, 104, 4, 10, 0], [1, 1, 31, 82, 83, 315, 91, 209, 48, 32, 2, 1], [1, 1, 31, 82, 84, 308, 112, 174, 83, 11, 9, 0], [1, 1, 31, 83, 76, 336, 56, 244, 27, 39, 1, 1], [1, 1, 31, 83, 77, 329, 77, 209, 62, 18, 8, 0], [1, 1, 31, 84, 69, 357, 21, 279, 6, 46, 0, 1], [1, 1, 31, 84, 70, 350, 42, 244, 41, 25, 7, 0], [1, 1, 31, 85, 63, 371, 7, 279, 20, 32, 6, 0], [1, 1, 32, 69, 145, 161, 315, 13, 146, 10, 1, 2], [1, 1, 32, 70, 138, 182, 280, 48, 125, 17, 0, 2], [1, 1, 32, 71, 132, 196, 266, 48, 139, 3, 6, 1], [1, 1, 32, 72, 125, 217, 231, 83, 118, 10, 5, 1], [1, 1, 32, 73, 118, 238, 196, 118, 97, 17, 4, 1], [1, 1, 32, 74, 111, 259, 161, 153, 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0, 3, 145, 91, 133, 343, 67, 70, 39, 2, 0], [3, 0, 3, 146, 84, 154, 308, 102, 49, 46, 1, 0], [3, 0, 3, 147, 77, 175, 273, 137, 28, 53, 0, 0], [3, 0, 4, 137, 119, 77, 413, 11, 98, 31, 3, 0], [3, 0, 4, 138, 112, 98, 378, 46, 77, 38, 2, 0], [3, 0, 4, 139, 105, 119, 343, 81, 56, 45, 1, 0], [3, 0, 4, 140, 98, 140, 308, 116, 35, 52, 0, 0], [3, 0, 5, 131, 133, 63, 413, 25, 84, 37, 2, 0], [3, 0, 5, 132, 126, 84, 378, 60, 63, 44, 1, 0], [3, 0, 5, 133, 119, 105, 343, 95, 42, 51, 0, 0], [3, 0, 6, 124, 154, 28, 448, 4, 91, 36, 2, 0], [3, 0, 6, 125, 147, 49, 413, 39, 70, 43, 1, 0], [3, 0, 6, 126, 140, 70, 378, 74, 49, 50, 0, 0], [3, 0, 7, 118, 168, 14, 448, 18, 77, 42, 1, 0], [3, 0, 7, 119, 161, 35, 413, 53, 56, 49, 0, 0], [3, 0, 8, 112, 182, 0, 448, 32, 63, 48, 0, 0], [3, 1, 0, 139, 133, 49, 427, 25, 76, 42, 1, 0], [3, 1, 0, 140, 126, 70, 392, 60, 55, 49, 0, 0], [3, 1, 1, 132, 154, 14, 462, 4, 83, 41, 1, 0], [3, 1, 1, 133, 147, 35, 427, 39, 62, 48, 0, 0], [3, 1, 2, 126, 168, 0, 462, 18, 69, 47, 0, 0]}
(12, 896, 6) has 3007 possible DDs: {[1, 0, 4, 111, 7, 187, 343, 13, 154, 73, 1, 0, 2], [1, 0, 4, 112, 0, 208, 308, 48, 133, 80, 0, 0, 2], [1, 0, 5, 105, 21, 173, 343, 27, 140, 79, 0, 0, 2], [1, 0, 5, 108, 4, 209, 315, 13, 182, 51, 4, 3, 1], [1, 0, 6, 98, 42, 138, 378, 6, 147, 78, 0, 0, 2], [1, 0, 6, 102, 18, 195, 315, 27, 168, 57, 3, 3, 1], [1, 0, 6, 103, 11, 216, 280, 62, 147, 64, 2, 3, 1], [1, 0, 6, 103, 12, 209, 301, 27, 182, 43, 9, 2, 1], [1, 0, 6, 104, 4, 237, 245, 97, 126, 71, 1, 3, 1], [1, 0, 6, 104, 5, 230, 266, 62, 161, 50, 8, 2, 1], [1, 0, 6, 104, 6, 223, 287, 27, 196, 29, 15, 1, 1], [1, 0, 6, 104, 7, 217, 301, 13, 196, 43, 1, 7, 0], [1, 0, 6, 105, 0, 237, 273, 27, 210, 15, 21, 0, 1], [1, 0, 6, 105, 0, 238, 266, 48, 175, 50, 0, 7, 0], [1, 0, 6, 105, 1, 231, 287, 13, 210, 29, 7, 6, 0], [1, 0, 7, 95, 39, 160, 350, 6, 175, 56, 3, 3, 1], [1, 0, 7, 96, 32, 181, 315, 41, 154, 63, 2, 3, 1], [1, 0, 7, 96, 33, 174, 336, 6, 189, 42, 9, 2, 1], [1, 0, 7, 97, 25, 202, 280, 76, 133, 70, 1, 3, 1], [1, 0, 7, 97, 26, 195, 301, 41, 168, 49, 8, 2, 1], [1, 0, 7, 97, 27, 188, 322, 6, 203, 28, 15, 1, 1], [1, 0, 7, 98, 18, 223, 245, 111, 112, 77, 0, 3, 1], [1, 0, 7, 98, 19, 216, 266, 76, 147, 56, 7, 2, 1], [1, 0, 7, 98, 20, 209, 287, 41, 182, 35, 14, 1, 1], [1, 0, 7, 98, 21, 202, 308, 6, 217, 14, 21, 0, 1], [1, 0, 7, 98, 21, 203, 301, 27, 182, 49, 0, 7, 0], [1, 0, 7, 99, 12, 237, 231, 111, 126, 63, 6, 2, 1], [1, 0, 7, 99, 13, 230, 252, 76, 161, 42, 13, 1, 1], [1, 0, 7, 99, 14, 223, 273, 41, 196, 21, 20, 0, 1], [1, 0, 7, 99, 15, 217, 287, 27, 196, 35, 6, 6, 0], [1, 0, 7, 100, 5, 258, 196, 146, 105, 70, 5, 2, 1], [1, 0, 7, 100, 6, 251, 217, 111, 140, 49, 12, 1, 1], [1, 0, 7, 100, 7, 244, 238, 76, 175, 28, 19, 0, 1], [1, 0, 7, 100, 8, 238, 252, 62, 175, 42, 5, 6, 0], [1, 0, 7, 100, 9, 231, 273, 27, 210, 21, 12, 5, 0], [1, 0, 7, 101, 0, 265, 203, 111, 154, 35, 18, 0, 1], [1, 0, 7, 101, 1, 259, 217, 97, 154, 49, 4, 6, 0], [1, 0, 7, 101, 2, 252, 238, 62, 189, 28, 11, 5, 0], [1, 0, 7, 101, 3, 245, 259, 27, 224, 7, 18, 4, 0], [1, 0, 8, 89, 53, 146, 350, 20, 161, 62, 2, 3, 1], [1, 0, 8, 90, 46, 167, 315, 55, 140, 69, 1, 3, 1], [1, 0, 8, 90, 47, 160, 336, 20, 175, 48, 8, 2, 1], [1, 0, 8, 91, 39, 188, 280, 90, 119, 76, 0, 3, 1], [1, 0, 8, 91, 40, 181, 301, 55, 154, 55, 7, 2, 1], [1, 0, 8, 91, 41, 174, 322, 20, 189, 34, 14, 1, 1], [1, 0, 8, 91, 42, 168, 336, 6, 189, 48, 0, 7, 0], [1, 0, 8, 92, 33, 202, 266, 90, 133, 62, 6, 2, 1], [1, 0, 8, 92, 34, 195, 287, 55, 168, 41, 13, 1, 1], [1, 0, 8, 92, 35, 188, 308, 20, 203, 20, 20, 0, 1], [1, 0, 8, 92, 36, 182, 322, 6, 203, 34, 6, 6, 0], [1, 0, 8, 93, 26, 223, 231, 125, 112, 69, 5, 2, 1], [1, 0, 8, 93, 27, 216, 252, 90, 147, 48, 12, 1, 1], [1, 0, 8, 93, 28, 209, 273, 55, 182, 27, 19, 0, 1], [1, 0, 8, 93, 29, 203, 287, 41, 182, 41, 5, 6, 0], [1, 0, 8, 93, 30, 196, 308, 6, 217, 20, 12, 5, 0], [1, 0, 8, 94, 19, 244, 196, 160, 91, 76, 4, 2, 1], [1, 0, 8, 94, 20, 237, 217, 125, 126, 55, 11, 1, 1], [1, 0, 8, 94, 21, 230, 238, 90, 161, 34, 18, 0, 1], [1, 0, 8, 94, 22, 224, 252, 76, 161, 48, 4, 6, 0], [1, 0, 8, 94, 23, 217, 273, 41, 196, 27, 11, 5, 0], [1, 0, 8, 94, 24, 210, 294, 6, 231, 6, 18, 4, 0], [1, 0, 8, 95, 12, 265, 161, 195, 70, 83, 3, 2, 1], [1, 0, 8, 95, 13, 258, 182, 160, 105, 62, 10, 1, 1], [1, 0, 8, 95, 14, 251, 203, 125, 140, 41, 17, 0, 1], [1, 0, 8, 95, 15, 245, 217, 111, 140, 55, 3, 6, 0], [1, 0, 8, 95, 16, 238, 238, 76, 175, 34, 10, 5, 0], [1, 0, 8, 95, 17, 231, 259, 41, 210, 13, 17, 4, 0], [1, 0, 8, 96, 5, 286, 126, 230, 49, 90, 2, 2, 1], [1, 0, 8, 96, 6, 279, 147, 195, 84, 69, 9, 1, 1], [1, 0, 8, 96, 7, 272, 168, 160, 119, 48, 16, 0, 1], [1, 0, 8, 96, 8, 266, 182, 146, 119, 62, 2, 6, 0], [1, 0, 8, 96, 9, 259, 203, 111, 154, 41, 9, 5, 0], [1, 0, 8, 96, 10, 252, 224, 76, 189, 20, 16, 4, 0], [1, 0, 8, 97, 0, 293, 133, 195, 98, 55, 15, 0, 1], [1, 0, 8, 97, 1, 287, 147, 181, 98, 69, 1, 6, 0], [1, 0, 8, 97, 2, 280, 168, 146, 133, 48, 8, 5, 0], [1, 0, 8, 97, 3, 273, 189, 111, 168, 27, 15, 4, 0], [1, 0, 8, 97, 4, 266, 210, 76, 203, 6, 22, 3, 0], [1, 0, 9, 83, 67, 132, 350, 34, 147, 68, 1, 3, 1], [1, 0, 9, 84, 60, 153, 315, 69, 126, 75, 0, 3, 1], [1, 0, 9, 84, 61, 146, 336, 34, 161, 54, 7, 2, 1], [1, 0, 9, 85, 54, 167, 301, 69, 140, 61, 6, 2, 1], [1, 0, 9, 85, 55, 160, 322, 34, 175, 40, 13, 1, 1], [1, 0, 9, 86, 47, 188, 266, 104, 119, 68, 5, 2, 1], [1, 0, 9, 86, 48, 181, 287, 69, 154, 47, 12, 1, 1], [1, 0, 9, 86, 49, 174, 308, 34, 189, 26, 19, 0, 1], [1, 0, 9, 86, 50, 168, 322, 20, 189, 40, 5, 6, 0], [1, 0, 9, 87, 40, 209, 231, 139, 98, 75, 4, 2, 1], [1, 0, 9, 87, 41, 202, 252, 104, 133, 54, 11, 1, 1], [1, 0, 9, 87, 42, 195, 273, 69, 168, 33, 18, 0, 1], [1, 0, 9, 87, 43, 189, 287, 55, 168, 47, 4, 6, 0], [1, 0, 9, 87, 44, 182, 308, 20, 203, 26, 11, 5, 0], [1, 0, 9, 88, 33, 230, 196, 174, 77, 82, 3, 2, 1], [1, 0, 9, 88, 34, 223, 217, 139, 112, 61, 10, 1, 1], [1, 0, 9, 88, 35, 216, 238, 104, 147, 40, 17, 0, 1], [1, 0, 9, 88, 36, 210, 252, 90, 147, 54, 3, 6, 0], [1, 0, 9, 88, 37, 203, 273, 55, 182, 33, 10, 5, 0], [1, 0, 9, 88, 38, 196, 294, 20, 217, 12, 17, 4, 0], [1, 0, 9, 89, 26, 251, 161, 209, 56, 89, 2, 2, 1], [1, 0, 9, 89, 27, 244, 182, 174, 91, 68, 9, 1, 1], [1, 0, 9, 89, 28, 237, 203, 139, 126, 47, 16, 0, 1], [1, 0, 9, 89, 29, 231, 217, 125, 126, 61, 2, 6, 0], [1, 0, 9, 89, 30, 224, 238, 90, 161, 40, 9, 5, 0], [1, 0, 9, 89, 31, 217, 259, 55, 196, 19, 16, 4, 0], [1, 0, 9, 90, 19, 272, 126, 244, 35, 96, 1, 2, 1], [1, 0, 9, 90, 20, 265, 147, 209, 70, 75, 8, 1, 1], [1, 0, 9, 90, 21, 258, 168, 174, 105, 54, 15, 0, 1], [1, 0, 9, 90, 22, 252, 182, 160, 105, 68, 1, 6, 0], [1, 0, 9, 90, 23, 245, 203, 125, 140, 47, 8, 5, 0], [1, 0, 9, 90, 24, 238, 224, 90, 175, 26, 15, 4, 0], [1, 0, 9, 90, 25, 231, 245, 55, 210, 5, 22, 3, 0], [1, 0, 9, 91, 12, 293, 91, 279, 14, 103, 0, 2, 1], [1, 0, 9, 91, 13, 286, 112, 244, 49, 82, 7, 1, 1], [1, 0, 9, 91, 14, 279, 133, 209, 84, 61, 14, 0, 1], [1, 0, 9, 91, 15, 273, 147, 195, 84, 75, 0, 6, 0], [1, 0, 9, 91, 16, 266, 168, 160, 119, 54, 7, 5, 0], [1, 0, 9, 91, 17, 259, 189, 125, 154, 33, 14, 4, 0], [1, 0, 9, 91, 18, 252, 210, 90, 189, 12, 21, 3, 0], [1, 0, 9, 92, 6, 307, 77, 279, 28, 89, 6, 1, 1], [1, 0, 9, 92, 7, 300, 98, 244, 63, 68, 13, 0, 1], [1, 0, 9, 92, 9, 287, 133, 195, 98, 61, 6, 5, 0], [1, 0, 9, 92, 10, 280, 154, 160, 133, 40, 13, 4, 0], [1, 0, 9, 92, 11, 273, 175, 125, 168, 19, 20, 3, 0], [1, 0, 9, 93, 0, 321, 63, 279, 42, 75, 12, 0, 1], [1, 0, 9, 93, 2, 308, 98, 230, 77, 68, 5, 5, 0], [1, 0, 9, 93, 3, 301, 119, 195, 112, 47, 12, 4, 0], [1, 0, 9, 93, 4, 294, 140, 160, 147, 26, 19, 3, 0], [1, 0, 9, 93, 5, 287, 161, 125, 182, 5, 26, 2, 0], [1, 0, 10, 76, 88, 97, 385, 13, 154, 67, 1, 3, 1], [1, 0, 10, 77, 81, 118, 350, 48, 133, 74, 0, 3, 1], [1, 0, 10, 77, 82, 111, 371, 13, 168, 53, 7, 2, 1], [1, 0, 10, 78, 75, 132, 336, 48, 147, 60, 6, 2, 1], [1, 0, 10, 78, 76, 125, 357, 13, 182, 39, 13, 1, 1], [1, 0, 10, 79, 68, 153, 301, 83, 126, 67, 5, 2, 1], [1, 0, 10, 79, 69, 146, 322, 48, 161, 46, 12, 1, 1], [1, 0, 10, 79, 70, 139, 343, 13, 196, 25, 19, 0, 1], [1, 0, 10, 80, 61, 174, 266, 118, 105, 74, 4, 2, 1], [1, 0, 10, 80, 62, 167, 287, 83, 140, 53, 11, 1, 1], [1, 0, 10, 80, 63, 160, 308, 48, 175, 32, 18, 0, 1], [1, 0, 10, 80, 64, 154, 322, 34, 175, 46, 4, 6, 0], [1, 0, 10, 81, 54, 195, 231, 153, 84, 81, 3, 2, 1], [1, 0, 10, 81, 55, 188, 252, 118, 119, 60, 10, 1, 1], [1, 0, 10, 81, 56, 181, 273, 83, 154, 39, 17, 0, 1], [1, 0, 10, 81, 57, 175, 287, 69, 154, 53, 3, 6, 0], [1, 0, 10, 81, 58, 168, 308, 34, 189, 32, 10, 5, 0], [1, 0, 10, 82, 47, 216, 196, 188, 63, 88, 2, 2, 1], [1, 0, 10, 82, 48, 209, 217, 153, 98, 67, 9, 1, 1], [1, 0, 10, 82, 49, 202, 238, 118, 133, 46, 16, 0, 1], [1, 0, 10, 82, 50, 196, 252, 104, 133, 60, 2, 6, 0], [1, 0, 10, 82, 51, 189, 273, 69, 168, 39, 9, 5, 0], [1, 0, 10, 82, 52, 182, 294, 34, 203, 18, 16, 4, 0], [1, 0, 10, 83, 40, 237, 161, 223, 42, 95, 1, 2, 1], [1, 0, 10, 83, 41, 230, 182, 188, 77, 74, 8, 1, 1], [1, 0, 10, 83, 42, 223, 203, 153, 112, 53, 15, 0, 1], [1, 0, 10, 83, 43, 217, 217, 139, 112, 67, 1, 6, 0], [1, 0, 10, 83, 44, 210, 238, 104, 147, 46, 8, 5, 0], [1, 0, 10, 83, 45, 203, 259, 69, 182, 25, 15, 4, 0], [1, 0, 10, 83, 46, 196, 280, 34, 217, 4, 22, 3, 0], [1, 0, 10, 84, 33, 258, 126, 258, 21, 102, 0, 2, 1], [1, 0, 10, 84, 34, 251, 147, 223, 56, 81, 7, 1, 1], [1, 0, 10, 84, 35, 244, 168, 188, 91, 60, 14, 0, 1], [1, 0, 10, 84, 36, 238, 182, 174, 91, 74, 0, 6, 0], [1, 0, 10, 84, 37, 231, 203, 139, 126, 53, 7, 5, 0], [1, 0, 10, 84, 38, 224, 224, 104, 161, 32, 14, 4, 0], [1, 0, 10, 84, 39, 217, 245, 69, 196, 11, 21, 3, 0], [1, 0, 10, 85, 27, 272, 112, 258, 35, 88, 6, 1, 1], [1, 0, 10, 85, 28, 265, 133, 223, 70, 67, 13, 0, 1], [1, 0, 10, 85, 30, 252, 168, 174, 105, 60, 6, 5, 0], [1, 0, 10, 85, 31, 245, 189, 139, 140, 39, 13, 4, 0], [1, 0, 10, 85, 32, 238, 210, 104, 175, 18, 20, 3, 0], [1, 0, 10, 86, 20, 293, 77, 293, 14, 95, 5, 1, 1], [1, 0, 10, 86, 21, 286, 98, 258, 49, 74, 12, 0, 1], [1, 0, 10, 86, 23, 273, 133, 209, 84, 67, 5, 5, 0], [1, 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