-------
(10, 972, 5) ALL distance distributions for INTERNAL point
(5, 972, 5) has 1 possible DDs: {[4, 40, 160, 320, 320, 128]}
(6, 972, 5) has 4 possible DDs: {[1, 18, 75, 220, 315, 258, 85], [2, 12, 90, 200, 330, 252, 86], [3, 6, 105, 180, 345, 246, 87], [4, 0, 120, 160, 360, 240, 88]}
(7, 972, 5) has 24 possible DDs: {[1, 0, 63, 70, 315, 252, 217, 54], [1, 1, 57, 85, 295, 267, 211, 55], [1, 2, 51, 100, 275, 282, 205, 56], [1, 3, 45, 115, 255, 297, 199, 57], [1, 4, 39, 130, 235, 312, 193, 58], [1, 5, 33, 145, 215, 327, 187, 59], [1, 6, 27, 160, 195, 342, 181, 60], [1, 7, 21, 175, 175, 357, 175, 61], [1, 8, 15, 190, 155, 372, 169, 62], [1, 9, 9, 205, 135, 387, 163, 63], [1, 10, 3, 220, 115, 402, 157, 64], [2, 0, 42, 140, 210, 336, 182, 60], [2, 1, 36, 155, 190, 351, 176, 61], [2, 2, 30, 170, 170, 366, 170, 62], [2, 3, 24, 185, 150, 381, 164, 63], [2, 4, 18, 200, 130, 396, 158, 64], [2, 5, 12, 215, 110, 411, 152, 65], [2, 6, 6, 230, 90, 426, 146, 66], [2, 7, 0, 245, 70, 441, 140, 67], [3, 0, 21, 210, 105, 420, 147, 66], [3, 1, 15, 225, 85, 435, 141, 67], [3, 2, 9, 240, 65, 450, 135, 68], [3, 3, 3, 255, 45, 465, 129, 69], [4, 0, 0, 280, 0, 504, 112, 72]}
(8, 972, 5) has 107 possible DDs: {[1, 0, 5, 138, 5, 460, 131, 202, 30], [1, 0, 6, 132, 20, 440, 146, 196, 31], [1, 0, 7, 126, 35, 420, 161, 190, 32], [1, 0, 8, 120, 50, 400, 176, 184, 33], [1, 0, 9, 114, 65, 380, 191, 178, 34], [1, 0, 10, 108, 80, 360, 206, 172, 35], [1, 0, 11, 102, 95, 340, 221, 166, 36], [1, 0, 12, 96, 110, 320, 236, 160, 37], [1, 0, 13, 90, 125, 300, 251, 154, 38], [1, 0, 14, 84, 140, 280, 266, 148, 39], [1, 0, 15, 78, 155, 260, 281, 142, 40], [1, 0, 16, 72, 170, 240, 296, 136, 41], [1, 0, 17, 66, 185, 220, 311, 130, 42], [1, 0, 18, 60, 200, 200, 326, 124, 43], [1, 0, 19, 54, 215, 180, 341, 118, 44], [1, 0, 20, 48, 230, 160, 356, 112, 45], [1, 0, 21, 42, 245, 140, 371, 106, 46], [1, 0, 22, 36, 260, 120, 386, 100, 47], [1, 0, 23, 30, 275, 100, 401, 94, 48], [1, 0, 24, 24, 290, 80, 416, 88, 49], [1, 0, 25, 18, 305, 60, 431, 82, 50], [1, 0, 26, 12, 320, 40, 446, 76, 51], [1, 0, 27, 6, 335, 20, 461, 70, 52], [1, 0, 28, 0, 350, 0, 476, 64, 53], [1, 1, 0, 147, 0, 455, 140, 197, 31], [1, 1, 1, 141, 15, 435, 155, 191, 32], [1, 1, 2, 135, 30, 415, 170, 185, 33], [1, 1, 3, 129, 45, 395, 185, 179, 34], [1, 1, 4, 123, 60, 375, 200, 173, 35], [1, 1, 5, 117, 75, 355, 215, 167, 36], [1, 1, 6, 111, 90, 335, 230, 161, 37], [1, 1, 7, 105, 105, 315, 245, 155, 38], [1, 1, 8, 99, 120, 295, 260, 149, 39], [1, 1, 9, 93, 135, 275, 275, 143, 40], [1, 1, 10, 87, 150, 255, 290, 137, 41], [1, 1, 11, 81, 165, 235, 305, 131, 42], [1, 1, 12, 75, 180, 215, 320, 125, 43], [1, 1, 13, 69, 195, 195, 335, 119, 44], [1, 1, 14, 63, 210, 175, 350, 113, 45], [1, 1, 15, 57, 225, 155, 365, 107, 46], [1, 1, 16, 51, 240, 135, 380, 101, 47], [1, 1, 17, 45, 255, 115, 395, 95, 48], [1, 1, 18, 39, 270, 95, 410, 89, 49], [1, 1, 19, 33, 285, 75, 425, 83, 50], [1, 1, 20, 27, 300, 55, 440, 77, 51], [1, 1, 21, 21, 315, 35, 455, 71, 52], [1, 1, 22, 15, 330, 15, 470, 65, 53], [1, 2, 0, 126, 70, 350, 224, 162, 37], [1, 2, 1, 120, 85, 330, 239, 156, 38], [1, 2, 2, 114, 100, 310, 254, 150, 39], [1, 2, 3, 108, 115, 290, 269, 144, 40], [1, 2, 4, 102, 130, 270, 284, 138, 41], [1, 2, 5, 96, 145, 250, 299, 132, 42], [1, 2, 6, 90, 160, 230, 314, 126, 43], [1, 2, 7, 84, 175, 210, 329, 120, 44], [1, 2, 8, 78, 190, 190, 344, 114, 45], [1, 2, 9, 72, 205, 170, 359, 108, 46], [1, 2, 10, 66, 220, 150, 374, 102, 47], [1, 2, 11, 60, 235, 130, 389, 96, 48], [1, 2, 12, 54, 250, 110, 404, 90, 49], [1, 2, 13, 48, 265, 90, 419, 84, 50], [1, 2, 14, 42, 280, 70, 434, 78, 51], [1, 2, 15, 36, 295, 50, 449, 72, 52], [1, 2, 16, 30, 310, 30, 464, 66, 53], [1, 2, 17, 24, 325, 10, 479, 60, 54], [1, 3, 0, 105, 140, 245, 308, 127, 43], [1, 3, 1, 99, 155, 225, 323, 121, 44], [1, 3, 2, 93, 170, 205, 338, 115, 45], [1, 3, 3, 87, 185, 185, 353, 109, 46], [1, 3, 4, 81, 200, 165, 368, 103, 47], [1, 3, 5, 75, 215, 145, 383, 97, 48], [1, 3, 6, 69, 230, 125, 398, 91, 49], [1, 3, 7, 63, 245, 105, 413, 85, 50], [1, 3, 8, 57, 260, 85, 428, 79, 51], [1, 3, 9, 51, 275, 65, 443, 73, 52], [1, 3, 10, 45, 290, 45, 458, 67, 53], [1, 3, 11, 39, 305, 25, 473, 61, 54], [1, 3, 12, 33, 320, 5, 488, 55, 55], [1, 4, 0, 84, 210, 140, 392, 92, 49], [1, 4, 1, 78, 225, 120, 407, 86, 50], [1, 4, 2, 72, 240, 100, 422, 80, 51], [1, 4, 3, 66, 255, 80, 437, 74, 52], [1, 4, 4, 60, 270, 60, 452, 68, 53], [1, 4, 5, 54, 285, 40, 467, 62, 54], [1, 4, 6, 48, 300, 20, 482, 56, 55], [1, 4, 7, 42, 315, 0, 497, 50, 56], [1, 5, 0, 63, 280, 35, 476, 57, 55], [1, 5, 1, 57, 295, 15, 491, 51, 56], [2, 0, 0, 112, 140, 224, 336, 112, 46], [2, 0, 1, 106, 155, 204, 351, 106, 47], [2, 0, 2, 100, 170, 184, 366, 100, 48], [2, 0, 3, 94, 185, 164, 381, 94, 49], [2, 0, 4, 88, 200, 144, 396, 88, 50], [2, 0, 5, 82, 215, 124, 411, 82, 51], [2, 0, 6, 76, 230, 104, 426, 76, 52], [2, 0, 7, 70, 245, 84, 441, 70, 53], [2, 0, 8, 64, 260, 64, 456, 64, 54], [2, 0, 9, 58, 275, 44, 471, 58, 55], [2, 0, 10, 52, 290, 24, 486, 52, 56], [2, 0, 11, 46, 305, 4, 501, 46, 57], [2, 1, 0, 91, 210, 119, 420, 77, 52], [2, 1, 1, 85, 225, 99, 435, 71, 53], [2, 1, 2, 79, 240, 79, 450, 65, 54], [2, 1, 3, 73, 255, 59, 465, 59, 55], [2, 1, 4, 67, 270, 39, 480, 53, 56], [2, 1, 5, 61, 285, 19, 495, 47, 57], [2, 2, 0, 70, 280, 14, 504, 42, 58]}
(9, 972, 5) has 395 possible DDs: {[1, 0, 0, 34, 174, 6, 496, 78, 165, 18], [1, 0, 0, 35, 168, 21, 476, 93, 159, 19], [1, 0, 0, 36, 162, 36, 456, 108, 153, 20], [1, 0, 0, 37, 156, 51, 436, 123, 147, 21], [1, 0, 0, 38, 150, 66, 416, 138, 141, 22], [1, 0, 0, 39, 144, 81, 396, 153, 135, 23], [1, 0, 0, 40, 138, 96, 376, 168, 129, 24], [1, 0, 0, 41, 132, 111, 356, 183, 123, 25], [1, 0, 0, 42, 126, 126, 336, 198, 117, 26], [1, 0, 0, 43, 120, 141, 316, 213, 111, 27], [1, 0, 0, 44, 114, 156, 296, 228, 105, 28], [1, 0, 0, 45, 108, 171, 276, 243, 99, 29], [1, 0, 0, 46, 102, 186, 256, 258, 93, 30], [1, 0, 0, 47, 96, 201, 236, 273, 87, 31], [1, 0, 0, 48, 90, 216, 216, 288, 81, 32], [1, 0, 0, 49, 84, 231, 196, 303, 75, 33], [1, 0, 0, 50, 78, 246, 176, 318, 69, 34], [1, 0, 0, 51, 72, 261, 156, 333, 63, 35], [1, 0, 0, 52, 66, 276, 136, 348, 57, 36], [1, 0, 0, 53, 60, 291, 116, 363, 51, 37], [1, 0, 0, 54, 54, 306, 96, 378, 45, 38], [1, 0, 0, 55, 48, 321, 76, 393, 39, 39], [1, 0, 0, 56, 42, 336, 56, 408, 33, 40], [1, 0, 0, 57, 36, 351, 36, 423, 27, 41], [1, 0, 0, 58, 30, 366, 16, 438, 21, 42], [1, 0, 1, 29, 183, 1, 491, 87, 160, 19], [1, 0, 1, 30, 177, 16, 471, 102, 154, 20], [1, 0, 1, 31, 171, 31, 451, 117, 148, 21], [1, 0, 1, 32, 165, 46, 431, 132, 142, 22], [1, 0, 1, 33, 159, 61, 411, 147, 136, 23], [1, 0, 1, 34, 153, 76, 391, 162, 130, 24], [1, 0, 1, 35, 147, 91, 371, 177, 124, 25], [1, 0, 1, 36, 141, 106, 351, 192, 118, 26], [1, 0, 1, 37, 135, 121, 331, 207, 112, 27], [1, 0, 1, 38, 129, 136, 311, 222, 106, 28], [1, 0, 1, 39, 123, 151, 291, 237, 100, 29], [1, 0, 1, 40, 117, 166, 271, 252, 94, 30], [1, 0, 1, 41, 111, 181, 251, 267, 88, 31], [1, 0, 1, 42, 105, 196, 231, 282, 82, 32], [1, 0, 1, 43, 99, 211, 211, 297, 76, 33], [1, 0, 1, 44, 93, 226, 191, 312, 70, 34], [1, 0, 1, 45, 87, 241, 171, 327, 64, 35], [1, 0, 1, 46, 81, 256, 151, 342, 58, 36], [1, 0, 1, 47, 75, 271, 131, 357, 52, 37], [1, 0, 1, 48, 69, 286, 111, 372, 46, 38], [1, 0, 1, 49, 63, 301, 91, 387, 40, 39], [1, 0, 1, 50, 57, 316, 71, 402, 34, 40], [1, 0, 1, 51, 51, 331, 51, 417, 28, 41], [1, 0, 1, 52, 45, 346, 31, 432, 22, 42], [1, 0, 1, 53, 39, 361, 11, 447, 16, 43], [1, 0, 2, 25, 186, 11, 466, 111, 149, 21], [1, 0, 2, 26, 180, 26, 446, 126, 143, 22], [1, 0, 2, 27, 174, 41, 426, 141, 137, 23], [1, 0, 2, 28, 168, 56, 406, 156, 131, 24], [1, 0, 2, 29, 162, 71, 386, 171, 125, 25], [1, 0, 2, 30, 156, 86, 366, 186, 119, 26], [1, 0, 2, 31, 150, 101, 346, 201, 113, 27], [1, 0, 2, 32, 144, 116, 326, 216, 107, 28], [1, 0, 2, 33, 138, 131, 306, 231, 101, 29], [1, 0, 2, 34, 132, 146, 286, 246, 95, 30], [1, 0, 2, 35, 126, 161, 266, 261, 89, 31], [1, 0, 2, 36, 120, 176, 246, 276, 83, 32], [1, 0, 2, 37, 114, 191, 226, 291, 77, 33], [1, 0, 2, 38, 108, 206, 206, 306, 71, 34], [1, 0, 2, 39, 102, 221, 186, 321, 65, 35], [1, 0, 2, 40, 96, 236, 166, 336, 59, 36], [1, 0, 2, 41, 90, 251, 146, 351, 53, 37], [1, 0, 2, 42, 84, 266, 126, 366, 47, 38], [1, 0, 2, 43, 78, 281, 106, 381, 41, 39], [1, 0, 2, 44, 72, 296, 86, 396, 35, 40], [1, 0, 2, 45, 66, 311, 66, 411, 29, 41], [1, 0, 2, 46, 60, 326, 46, 426, 23, 42], [1, 0, 2, 47, 54, 341, 26, 441, 17, 43], [1, 0, 2, 48, 48, 356, 6, 456, 11, 44], [1, 0, 3, 20, 195, 6, 461, 120, 144, 22], [1, 0, 3, 21, 189, 21, 441, 135, 138, 23], [1, 0, 3, 22, 183, 36, 421, 150, 132, 24], [1, 0, 3, 23, 177, 51, 401, 165, 126, 25], [1, 0, 3, 24, 171, 66, 381, 180, 120, 26], [1, 0, 3, 25, 165, 81, 361, 195, 114, 27], [1, 0, 3, 26, 159, 96, 341, 210, 108, 28], [1, 0, 3, 27, 153, 111, 321, 225, 102, 29], [1, 0, 3, 28, 147, 126, 301, 240, 96, 30], [1, 0, 3, 29, 141, 141, 281, 255, 90, 31], [1, 0, 3, 30, 135, 156, 261, 270, 84, 32], [1, 0, 3, 31, 129, 171, 241, 285, 78, 33], [1, 0, 3, 32, 123, 186, 221, 300, 72, 34], [1, 0, 3, 33, 117, 201, 201, 315, 66, 35], [1, 0, 3, 34, 111, 216, 181, 330, 60, 36], [1, 0, 3, 35, 105, 231, 161, 345, 54, 37], [1, 0, 3, 36, 99, 246, 141, 360, 48, 38], [1, 0, 3, 37, 93, 261, 121, 375, 42, 39], [1, 0, 3, 38, 87, 276, 101, 390, 36, 40], [1, 0, 3, 39, 81, 291, 81, 405, 30, 41], [1, 0, 3, 40, 75, 306, 61, 420, 24, 42], [1, 0, 3, 41, 69, 321, 41, 435, 18, 43], [1, 0, 3, 42, 63, 336, 21, 450, 12, 44], [1, 0, 3, 43, 57, 351, 1, 465, 6, 45], [1, 0, 4, 15, 204, 1, 456, 129, 139, 23], [1, 0, 4, 16, 198, 16, 436, 144, 133, 24], [1, 0, 4, 17, 192, 31, 416, 159, 127, 25], [1, 0, 4, 18, 186, 46, 396, 174, 121, 26], [1, 0, 4, 19, 180, 61, 376, 189, 115, 27], [1, 0, 4, 20, 174, 76, 356, 204, 109, 28], [1, 0, 4, 21, 168, 91, 336, 219, 103, 29], [1, 0, 4, 22, 162, 106, 316, 234, 97, 30], [1, 0, 4, 23, 156, 121, 296, 249, 91, 31], [1, 0, 4, 24, 150, 136, 276, 264, 85, 32], [1, 0, 4, 25, 144, 151, 256, 279, 79, 33], [1, 0, 4, 26, 138, 166, 236, 294, 73, 34], [1, 0, 4, 27, 132, 181, 216, 309, 67, 35], [1, 0, 4, 28, 126, 196, 196, 324, 61, 36], [1, 0, 4, 29, 120, 211, 176, 339, 55, 37], [1, 0, 4, 30, 114, 226, 156, 354, 49, 38], [1, 0, 4, 31, 108, 241, 136, 369, 43, 39], [1, 0, 4, 32, 102, 256, 116, 384, 37, 40], [1, 0, 4, 33, 96, 271, 96, 399, 31, 41], [1, 0, 4, 34, 90, 286, 76, 414, 25, 42], [1, 0, 4, 35, 84, 301, 56, 429, 19, 43], [1, 0, 4, 36, 78, 316, 36, 444, 13, 44], [1, 0, 4, 37, 72, 331, 16, 459, 7, 45], [1, 0, 5, 11, 207, 11, 431, 153, 128, 25], [1, 0, 5, 12, 201, 26, 411, 168, 122, 26], [1, 0, 5, 13, 195, 41, 391, 183, 116, 27], [1, 0, 5, 14, 189, 56, 371, 198, 110, 28], [1, 0, 5, 15, 183, 71, 351, 213, 104, 29], [1, 0, 5, 16, 177, 86, 331, 228, 98, 30], [1, 0, 5, 17, 171, 101, 311, 243, 92, 31], [1, 0, 5, 18, 165, 116, 291, 258, 86, 32], [1, 0, 5, 19, 159, 131, 271, 273, 80, 33], [1, 0, 5, 20, 153, 146, 251, 288, 74, 34], [1, 0, 5, 21, 147, 161, 231, 303, 68, 35], [1, 0, 5, 22, 141, 176, 211, 318, 62, 36], [1, 0, 5, 23, 135, 191, 191, 333, 56, 37], [1, 0, 5, 24, 129, 206, 171, 348, 50, 38], [1, 0, 5, 25, 123, 221, 151, 363, 44, 39], [1, 0, 5, 26, 117, 236, 131, 378, 38, 40], [1, 0, 5, 27, 111, 251, 111, 393, 32, 41], [1, 0, 5, 28, 105, 266, 91, 408, 26, 42], [1, 0, 5, 29, 99, 281, 71, 423, 20, 43], [1, 0, 5, 30, 93, 296, 51, 438, 14, 44], [1, 0, 5, 31, 87, 311, 31, 453, 8, 45], [1, 0, 5, 32, 81, 326, 11, 468, 2, 46], [1, 0, 6, 6, 216, 6, 426, 162, 123, 26], [1, 0, 6, 7, 210, 21, 406, 177, 117, 27], [1, 0, 6, 8, 204, 36, 386, 192, 111, 28], [1, 0, 6, 9, 198, 51, 366, 207, 105, 29], [1, 0, 6, 10, 192, 66, 346, 222, 99, 30], [1, 0, 6, 11, 186, 81, 326, 237, 93, 31], [1, 0, 6, 12, 180, 96, 306, 252, 87, 32], [1, 0, 6, 13, 174, 111, 286, 267, 81, 33], [1, 0, 6, 14, 168, 126, 266, 282, 75, 34], [1, 0, 6, 15, 162, 141, 246, 297, 69, 35], [1, 0, 6, 16, 156, 156, 226, 312, 63, 36], [1, 0, 6, 17, 150, 171, 206, 327, 57, 37], [1, 0, 6, 18, 144, 186, 186, 342, 51, 38], [1, 0, 6, 19, 138, 201, 166, 357, 45, 39], [1, 0, 6, 20, 132, 216, 146, 372, 39, 40], [1, 0, 6, 21, 126, 231, 126, 387, 33, 41], [1, 0, 6, 22, 120, 246, 106, 402, 27, 42], [1, 0, 6, 23, 114, 261, 86, 417, 21, 43], [1, 0, 6, 24, 108, 276, 66, 432, 15, 44], [1, 0, 6, 25, 102, 291, 46, 447, 9, 45], [1, 0, 6, 26, 96, 306, 26, 462, 3, 46], [1, 0, 7, 1, 225, 1, 421, 171, 118, 27], [1, 0, 7, 2, 219, 16, 401, 186, 112, 28], [1, 0, 7, 3, 213, 31, 381, 201, 106, 29], [1, 0, 7, 4, 207, 46, 361, 216, 100, 30], [1, 0, 7, 5, 201, 61, 341, 231, 94, 31], [1, 0, 7, 6, 195, 76, 321, 246, 88, 32], [1, 0, 7, 7, 189, 91, 301, 261, 82, 33], [1, 0, 7, 8, 183, 106, 281, 276, 76, 34], [1, 0, 7, 9, 177, 121, 261, 291, 70, 35], [1, 0, 7, 10, 171, 136, 241, 306, 64, 36], [1, 0, 7, 11, 165, 151, 221, 321, 58, 37], [1, 0, 7, 12, 159, 166, 201, 336, 52, 38], [1, 0, 7, 13, 153, 181, 181, 351, 46, 39], [1, 0, 7, 14, 147, 196, 161, 366, 40, 40], [1, 0, 7, 15, 141, 211, 141, 381, 34, 41], [1, 0, 7, 16, 135, 226, 121, 396, 28, 42], [1, 0, 7, 17, 129, 241, 101, 411, 22, 43], [1, 0, 7, 18, 123, 256, 81, 426, 16, 44], [1, 0, 7, 19, 117, 271, 61, 441, 10, 45], [1, 0, 7, 20, 111, 286, 41, 456, 4, 46], [1, 0, 8, 0, 210, 56, 336, 240, 89, 32], [1, 0, 8, 1, 204, 71, 316, 255, 83, 33], [1, 0, 8, 2, 198, 86, 296, 270, 77, 34], [1, 0, 8, 3, 192, 101, 276, 285, 71, 35], [1, 0, 8, 4, 186, 116, 256, 300, 65, 36], [1, 0, 8, 5, 180, 131, 236, 315, 59, 37], [1, 0, 8, 6, 174, 146, 216, 330, 53, 38], [1, 0, 8, 7, 168, 161, 196, 345, 47, 39], [1, 0, 8, 8, 162, 176, 176, 360, 41, 40], [1, 0, 8, 9, 156, 191, 156, 375, 35, 41], [1, 0, 8, 10, 150, 206, 136, 390, 29, 42], [1, 0, 8, 11, 144, 221, 116, 405, 23, 43], [1, 0, 8, 12, 138, 236, 96, 420, 17, 44], [1, 0, 8, 13, 132, 251, 76, 435, 11, 45], [1, 0, 8, 14, 126, 266, 56, 450, 5, 46], [1, 0, 9, 0, 189, 126, 231, 324, 54, 38], [1, 0, 9, 1, 183, 141, 211, 339, 48, 39], [1, 0, 9, 2, 177, 156, 191, 354, 42, 40], [1, 0, 9, 3, 171, 171, 171, 369, 36, 41], [1, 0, 9, 4, 165, 186, 151, 384, 30, 42], [1, 0, 9, 5, 159, 201, 131, 399, 24, 43], [1, 0, 9, 6, 153, 216, 111, 414, 18, 44], [1, 0, 9, 7, 147, 231, 91, 429, 12, 45], [1, 0, 9, 8, 141, 246, 71, 444, 6, 46], [1, 0, 9, 9, 135, 261, 51, 459, 0, 47], [1, 0, 10, 0, 168, 196, 126, 408, 19, 44], [1, 0, 10, 1, 162, 211, 106, 423, 13, 45], [1, 0, 10, 2, 156, 226, 86, 438, 7, 46], [1, 0, 10, 3, 150, 241, 66, 453, 1, 47], [1, 1, 0, 20, 202, 6, 440, 148, 129, 25], [1, 1, 0, 21, 196, 21, 420, 163, 123, 26], [1, 1, 0, 22, 190, 36, 400, 178, 117, 27], [1, 1, 0, 23, 184, 51, 380, 193, 111, 28], [1, 1, 0, 24, 178, 66, 360, 208, 105, 29], [1, 1, 0, 25, 172, 81, 340, 223, 99, 30], [1, 1, 0, 26, 166, 96, 320, 238, 93, 31], [1, 1, 0, 27, 160, 111, 300, 253, 87, 32], [1, 1, 0, 28, 154, 126, 280, 268, 81, 33], [1, 1, 0, 29, 148, 141, 260, 283, 75, 34], [1, 1, 0, 30, 142, 156, 240, 298, 69, 35], [1, 1, 0, 31, 136, 171, 220, 313, 63, 36], [1, 1, 0, 32, 130, 186, 200, 328, 57, 37], [1, 1, 0, 33, 124, 201, 180, 343, 51, 38], [1, 1, 0, 34, 118, 216, 160, 358, 45, 39], [1, 1, 0, 35, 112, 231, 140, 373, 39, 40], [1, 1, 0, 36, 106, 246, 120, 388, 33, 41], [1, 1, 0, 37, 100, 261, 100, 403, 27, 42], [1, 1, 0, 38, 94, 276, 80, 418, 21, 43], [1, 1, 0, 39, 88, 291, 60, 433, 15, 44], [1, 1, 0, 40, 82, 306, 40, 448, 9, 45], [1, 1, 0, 41, 76, 321, 20, 463, 3, 46], [1, 1, 1, 15, 211, 1, 435, 157, 124, 26], [1, 1, 1, 16, 205, 16, 415, 172, 118, 27], [1, 1, 1, 17, 199, 31, 395, 187, 112, 28], [1, 1, 1, 18, 193, 46, 375, 202, 106, 29], [1, 1, 1, 19, 187, 61, 355, 217, 100, 30], [1, 1, 1, 20, 181, 76, 335, 232, 94, 31], [1, 1, 1, 21, 175, 91, 315, 247, 88, 32], [1, 1, 1, 22, 169, 106, 295, 262, 82, 33], [1, 1, 1, 23, 163, 121, 275, 277, 76, 34], [1, 1, 1, 24, 157, 136, 255, 292, 70, 35], [1, 1, 1, 25, 151, 151, 235, 307, 64, 36], [1, 1, 1, 26, 145, 166, 215, 322, 58, 37], [1, 1, 1, 27, 139, 181, 195, 337, 52, 38], [1, 1, 1, 28, 133, 196, 175, 352, 46, 39], [1, 1, 1, 29, 127, 211, 155, 367, 40, 40], [1, 1, 1, 30, 121, 226, 135, 382, 34, 41], [1, 1, 1, 31, 115, 241, 115, 397, 28, 42], [1, 1, 1, 32, 109, 256, 95, 412, 22, 43], [1, 1, 1, 33, 103, 271, 75, 427, 16, 44], [1, 1, 1, 34, 97, 286, 55, 442, 10, 45], [1, 1, 1, 35, 91, 301, 35, 457, 4, 46], [1, 1, 2, 11, 214, 11, 410, 181, 113, 28], [1, 1, 2, 12, 208, 26, 390, 196, 107, 29], [1, 1, 2, 13, 202, 41, 370, 211, 101, 30], [1, 1, 2, 14, 196, 56, 350, 226, 95, 31], [1, 1, 2, 15, 190, 71, 330, 241, 89, 32], [1, 1, 2, 16, 184, 86, 310, 256, 83, 33], [1, 1, 2, 17, 178, 101, 290, 271, 77, 34], [1, 1, 2, 18, 172, 116, 270, 286, 71, 35], [1, 1, 2, 19, 166, 131, 250, 301, 65, 36], [1, 1, 2, 20, 160, 146, 230, 316, 59, 37], [1, 1, 2, 21, 154, 161, 210, 331, 53, 38], [1, 1, 2, 22, 148, 176, 190, 346, 47, 39], [1, 1, 2, 23, 142, 191, 170, 361, 41, 40], [1, 1, 2, 24, 136, 206, 150, 376, 35, 41], [1, 1, 2, 25, 130, 221, 130, 391, 29, 42], [1, 1, 2, 26, 124, 236, 110, 406, 23, 43], [1, 1, 2, 27, 118, 251, 90, 421, 17, 44], [1, 1, 2, 28, 112, 266, 70, 436, 11, 45], [1, 1, 2, 29, 106, 281, 50, 451, 5, 46], [1, 1, 3, 6, 223, 6, 405, 190, 108, 29], [1, 1, 3, 7, 217, 21, 385, 205, 102, 30], [1, 1, 3, 8, 211, 36, 365, 220, 96, 31], [1, 1, 3, 9, 205, 51, 345, 235, 90, 32], [1, 1, 3, 10, 199, 66, 325, 250, 84, 33], [1, 1, 3, 11, 193, 81, 305, 265, 78, 34], [1, 1, 3, 12, 187, 96, 285, 280, 72, 35], [1, 1, 3, 13, 181, 111, 265, 295, 66, 36], [1, 1, 3, 14, 175, 126, 245, 310, 60, 37], [1, 1, 3, 15, 169, 141, 225, 325, 54, 38], [1, 1, 3, 16, 163, 156, 205, 340, 48, 39], [1, 1, 3, 17, 157, 171, 185, 355, 42, 40], [1, 1, 3, 18, 151, 186, 165, 370, 36, 41], [1, 1, 3, 19, 145, 201, 145, 385, 30, 42], [1, 1, 3, 20, 139, 216, 125, 400, 24, 43], [1, 1, 3, 21, 133, 231, 105, 415, 18, 44], [1, 1, 3, 22, 127, 246, 85, 430, 12, 45], [1, 1, 3, 23, 121, 261, 65, 445, 6, 46], [1, 1, 3, 24, 115, 276, 45, 460, 0, 47], [1, 1, 4, 1, 232, 1, 400, 199, 103, 30], [1, 1, 4, 2, 226, 16, 380, 214, 97, 31], [1, 1, 4, 3, 220, 31, 360, 229, 91, 32], [1, 1, 4, 4, 214, 46, 340, 244, 85, 33], [1, 1, 4, 5, 208, 61, 320, 259, 79, 34], [1, 1, 4, 6, 202, 76, 300, 274, 73, 35], [1, 1, 4, 7, 196, 91, 280, 289, 67, 36], [1, 1, 4, 8, 190, 106, 260, 304, 61, 37], [1, 1, 4, 9, 184, 121, 240, 319, 55, 38], [1, 1, 4, 10, 178, 136, 220, 334, 49, 39], [1, 1, 4, 11, 172, 151, 200, 349, 43, 40], [1, 1, 4, 12, 166, 166, 180, 364, 37, 41], [1, 1, 4, 13, 160, 181, 160, 379, 31, 42], [1, 1, 4, 14, 154, 196, 140, 394, 25, 43], [1, 1, 4, 15, 148, 211, 120, 409, 19, 44], [1, 1, 4, 16, 142, 226, 100, 424, 13, 45], [1, 1, 4, 17, 136, 241, 80, 439, 7, 46], [1, 1, 4, 18, 130, 256, 60, 454, 1, 47], [1, 1, 5, 0, 217, 56, 315, 268, 74, 35], [1, 1, 5, 1, 211, 71, 295, 283, 68, 36], [1, 1, 5, 2, 205, 86, 275, 298, 62, 37], [1, 1, 5, 3, 199, 101, 255, 313, 56, 38], [1, 1, 5, 4, 193, 116, 235, 328, 50, 39], [1, 1, 5, 5, 187, 131, 215, 343, 44, 40], [1, 1, 5, 6, 181, 146, 195, 358, 38, 41], [1, 1, 5, 7, 175, 161, 175, 373, 32, 42], [1, 1, 5, 8, 169, 176, 155, 388, 26, 43], [1, 1, 5, 9, 163, 191, 135, 403, 20, 44], [1, 1, 5, 10, 157, 206, 115, 418, 14, 45], [1, 1, 5, 11, 151, 221, 95, 433, 8, 46], [1, 1, 5, 12, 145, 236, 75, 448, 2, 47], [1, 1, 6, 0, 196, 126, 210, 352, 39, 41], [1, 1, 6, 1, 190, 141, 190, 367, 33, 42], [1, 1, 6, 2, 184, 156, 170, 382, 27, 43], [1, 1, 6, 3, 178, 171, 150, 397, 21, 44], [1, 1, 6, 4, 172, 186, 130, 412, 15, 45], [1, 1, 6, 5, 166, 201, 110, 427, 9, 46], [1, 1, 6, 6, 160, 216, 90, 442, 3, 47], [1, 1, 7, 0, 175, 196, 105, 436, 4, 47], [1, 2, 0, 6, 230, 6, 384, 218, 93, 32], [1, 2, 0, 7, 224, 21, 364, 233, 87, 33], [1, 2, 0, 8, 218, 36, 344, 248, 81, 34], [1, 2, 0, 9, 212, 51, 324, 263, 75, 35], [1, 2, 0, 10, 206, 66, 304, 278, 69, 36], [1, 2, 0, 11, 200, 81, 284, 293, 63, 37], [1, 2, 0, 12, 194, 96, 264, 308, 57, 38], [1, 2, 0, 13, 188, 111, 244, 323, 51, 39], [1, 2, 0, 14, 182, 126, 224, 338, 45, 40], [1, 2, 0, 15, 176, 141, 204, 353, 39, 41], [1, 2, 0, 16, 170, 156, 184, 368, 33, 42], [1, 2, 0, 17, 164, 171, 164, 383, 27, 43], [1, 2, 0, 18, 158, 186, 144, 398, 21, 44], [1, 2, 0, 19, 152, 201, 124, 413, 15, 45], [1, 2, 0, 20, 146, 216, 104, 428, 9, 46], [1, 2, 0, 21, 140, 231, 84, 443, 3, 47], [1, 2, 1, 1, 239, 1, 379, 227, 88, 33], [1, 2, 1, 2, 233, 16, 359, 242, 82, 34], [1, 2, 1, 3, 227, 31, 339, 257, 76, 35], [1, 2, 1, 4, 221, 46, 319, 272, 70, 36], [1, 2, 1, 5, 215, 61, 299, 287, 64, 37], [1, 2, 1, 6, 209, 76, 279, 302, 58, 38], [1, 2, 1, 7, 203, 91, 259, 317, 52, 39], [1, 2, 1, 8, 197, 106, 239, 332, 46, 40], [1, 2, 1, 9, 191, 121, 219, 347, 40, 41], [1, 2, 1, 10, 185, 136, 199, 362, 34, 42], [1, 2, 1, 11, 179, 151, 179, 377, 28, 43], [1, 2, 1, 12, 173, 166, 159, 392, 22, 44], [1, 2, 1, 13, 167, 181, 139, 407, 16, 45], [1, 2, 1, 14, 161, 196, 119, 422, 10, 46], [1, 2, 1, 15, 155, 211, 99, 437, 4, 47], [1, 2, 2, 0, 224, 56, 294, 296, 59, 38], [1, 2, 2, 1, 218, 71, 274, 311, 53, 39], [1, 2, 2, 2, 212, 86, 254, 326, 47, 40], [1, 2, 2, 3, 206, 101, 234, 341, 41, 41], [1, 2, 2, 4, 200, 116, 214, 356, 35, 42], [1, 2, 2, 5, 194, 131, 194, 371, 29, 43], [1, 2, 2, 6, 188, 146, 174, 386, 23, 44], [1, 2, 2, 7, 182, 161, 154, 401, 17, 45], [1, 2, 2, 8, 176, 176, 134, 416, 11, 46], [1, 2, 2, 9, 170, 191, 114, 431, 5, 47], [1, 2, 3, 0, 203, 126, 189, 380, 24, 44], [1, 2, 3, 1, 197, 141, 169, 395, 18, 45], [1, 2, 3, 2, 191, 156, 149, 410, 12, 46], [1, 2, 3, 3, 185, 171, 129, 425, 6, 47], [1, 2, 3, 4, 179, 186, 109, 440, 0, 48], [1, 3, 0, 0, 210, 126, 168, 408, 9, 47], [1, 3, 0, 1, 204, 141, 148, 423, 3, 48], [2, 0, 0, 0, 252, 0, 336, 288, 54, 40], [2, 0, 0, 1, 246, 15, 316, 303, 48, 41], [2, 0, 0, 2, 240, 30, 296, 318, 42, 42], [2, 0, 0, 3, 234, 45, 276, 333, 36, 43], [2, 0, 0, 4, 228, 60, 256, 348, 30, 44], [2, 0, 0, 5, 222, 75, 236, 363, 24, 45], [2, 0, 0, 6, 216, 90, 216, 378, 18, 46], [2, 0, 0, 7, 210, 105, 196, 393, 12, 47], [2, 0, 0, 8, 204, 120, 176, 408, 6, 48], [2, 0, 0, 9, 198, 135, 156, 423, 0, 49], [2, 0, 1, 0, 231, 70, 231, 372, 19, 46], [2, 0, 1, 1, 225, 85, 211, 387, 13, 47], [2, 0, 1, 2, 219, 100, 191, 402, 7, 48], [2, 0, 1, 3, 213, 115, 171, 417, 1, 49]}
(10, 972, 5) has 604 possible DDs: {[1, 0, 0, 0, 99, 162, 15, 540, 0, 146, 9], [1, 0, 0, 0, 100, 156, 30, 520, 15, 140, 10], [1, 0, 0, 0, 101, 150, 45, 500, 30, 134, 11], [1, 0, 0, 0, 102, 144, 60, 480, 45, 128, 12], [1, 0, 0, 0, 103, 138, 75, 460, 60, 122, 13], [1, 0, 0, 0, 104, 132, 90, 440, 75, 116, 14], [1, 0, 0, 0, 105, 126, 105, 420, 90, 110, 15], [1, 0, 0, 0, 106, 120, 120, 400, 105, 104, 16], [1, 0, 0, 0, 107, 114, 135, 380, 120, 98, 17], [1, 0, 0, 0, 108, 108, 150, 360, 135, 92, 18], [1, 0, 0, 0, 109, 102, 165, 340, 150, 86, 19], [1, 0, 0, 0, 110, 96, 180, 320, 165, 80, 20], [1, 0, 0, 0, 111, 90, 195, 300, 180, 74, 21], [1, 0, 0, 0, 112, 84, 210, 280, 195, 68, 22], [1, 0, 0, 0, 113, 78, 225, 260, 210, 62, 23], [1, 0, 0, 0, 114, 72, 240, 240, 225, 56, 24], [1, 0, 0, 0, 115, 66, 255, 220, 240, 50, 25], [1, 0, 0, 0, 116, 60, 270, 200, 255, 44, 26], [1, 0, 0, 0, 117, 54, 285, 180, 270, 38, 27], [1, 0, 0, 0, 118, 48, 300, 160, 285, 32, 28], [1, 0, 0, 0, 119, 42, 315, 140, 300, 26, 29], [1, 0, 0, 0, 120, 36, 330, 120, 315, 20, 30], [1, 0, 0, 0, 121, 30, 345, 100, 330, 14, 31], [1, 0, 0, 0, 122, 24, 360, 80, 345, 8, 32], [1, 0, 0, 0, 123, 18, 375, 60, 360, 2, 33], [1, 0, 0, 1, 94, 171, 10, 535, 9, 141, 10], [1, 0, 0, 1, 95, 165, 25, 515, 24, 135, 11], [1, 0, 0, 1, 96, 159, 40, 495, 39, 129, 12], [1, 0, 0, 1, 97, 153, 55, 475, 54, 123, 13], [1, 0, 0, 1, 98, 147, 70, 455, 69, 117, 14], [1, 0, 0, 1, 99, 141, 85, 435, 84, 111, 15], [1, 0, 0, 1, 100, 135, 100, 415, 99, 105, 16], [1, 0, 0, 1, 101, 129, 115, 395, 114, 99, 17], [1, 0, 0, 1, 102, 123, 130, 375, 129, 93, 18], [1, 0, 0, 1, 103, 117, 145, 355, 144, 87, 19], [1, 0, 0, 1, 104, 111, 160, 335, 159, 81, 20], [1, 0, 0, 1, 105, 105, 175, 315, 174, 75, 21], [1, 0, 0, 1, 106, 99, 190, 295, 189, 69, 22], [1, 0, 0, 1, 107, 93, 205, 275, 204, 63, 23], [1, 0, 0, 1, 108, 87, 220, 255, 219, 57, 24], [1, 0, 0, 1, 109, 81, 235, 235, 234, 51, 25], [1, 0, 0, 1, 110, 75, 250, 215, 249, 45, 26], [1, 0, 0, 1, 111, 69, 265, 195, 264, 39, 27], [1, 0, 0, 1, 112, 63, 280, 175, 279, 33, 28], [1, 0, 0, 1, 113, 57, 295, 155, 294, 27, 29], [1, 0, 0, 1, 114, 51, 310, 135, 309, 21, 30], [1, 0, 0, 1, 115, 45, 325, 115, 324, 15, 31], [1, 0, 0, 1, 116, 39, 340, 95, 339, 9, 32], [1, 0, 0, 1, 117, 33, 355, 75, 354, 3, 33], [1, 0, 0, 2, 89, 180, 5, 530, 18, 136, 11], [1, 0, 0, 2, 90, 174, 20, 510, 33, 130, 12], [1, 0, 0, 2, 91, 168, 35, 490, 48, 124, 13], [1, 0, 0, 2, 92, 162, 50, 470, 63, 118, 14], [1, 0, 0, 2, 93, 156, 65, 450, 78, 112, 15], [1, 0, 0, 2, 94, 150, 80, 430, 93, 106, 16], [1, 0, 0, 2, 95, 144, 95, 410, 108, 100, 17], [1, 0, 0, 2, 96, 138, 110, 390, 123, 94, 18], [1, 0, 0, 2, 97, 132, 125, 370, 138, 88, 19], [1, 0, 0, 2, 98, 126, 140, 350, 153, 82, 20], [1, 0, 0, 2, 99, 120, 155, 330, 168, 76, 21], [1, 0, 0, 2, 100, 114, 170, 310, 183, 70, 22], [1, 0, 0, 2, 101, 108, 185, 290, 198, 64, 23], [1, 0, 0, 2, 102, 102, 200, 270, 213, 58, 24], [1, 0, 0, 2, 103, 96, 215, 250, 228, 52, 25], [1, 0, 0, 2, 104, 90, 230, 230, 243, 46, 26], [1, 0, 0, 2, 105, 84, 245, 210, 258, 40, 27], [1, 0, 0, 2, 106, 78, 260, 190, 273, 34, 28], [1, 0, 0, 2, 107, 72, 275, 170, 288, 28, 29], [1, 0, 0, 2, 108, 66, 290, 150, 303, 22, 30], [1, 0, 0, 2, 109, 60, 305, 130, 318, 16, 31], [1, 0, 0, 2, 110, 54, 320, 110, 333, 10, 32], [1, 0, 0, 2, 111, 48, 335, 90, 348, 4, 33], [1, 0, 0, 3, 84, 189, 0, 525, 27, 131, 12], [1, 0, 0, 3, 85, 183, 15, 505, 42, 125, 13], [1, 0, 0, 3, 86, 177, 30, 485, 57, 119, 14], [1, 0, 0, 3, 87, 171, 45, 465, 72, 113, 15], [1, 0, 0, 3, 88, 165, 60, 445, 87, 107, 16], [1, 0, 0, 3, 89, 159, 75, 425, 102, 101, 17], [1, 0, 0, 3, 90, 153, 90, 405, 117, 95, 18], [1, 0, 0, 3, 91, 147, 105, 385, 132, 89, 19], [1, 0, 0, 3, 92, 141, 120, 365, 147, 83, 20], [1, 0, 0, 3, 93, 135, 135, 345, 162, 77, 21], [1, 0, 0, 3, 94, 129, 150, 325, 177, 71, 22], [1, 0, 0, 3, 95, 123, 165, 305, 192, 65, 23], [1, 0, 0, 3, 96, 117, 180, 285, 207, 59, 24], [1, 0, 0, 3, 97, 111, 195, 265, 222, 53, 25], [1, 0, 0, 3, 98, 105, 210, 245, 237, 47, 26], [1, 0, 0, 3, 99, 99, 225, 225, 252, 41, 27], [1, 0, 0, 3, 100, 93, 240, 205, 267, 35, 28], [1, 0, 0, 3, 101, 87, 255, 185, 282, 29, 29], [1, 0, 0, 3, 102, 81, 270, 165, 297, 23, 30], [1, 0, 0, 3, 103, 75, 285, 145, 312, 17, 31], [1, 0, 0, 3, 104, 69, 300, 125, 327, 11, 32], [1, 0, 0, 3, 105, 63, 315, 105, 342, 5, 33], [1, 0, 0, 4, 80, 192, 10, 500, 51, 120, 14], [1, 0, 0, 4, 81, 186, 25, 480, 66, 114, 15], [1, 0, 0, 4, 82, 180, 40, 460, 81, 108, 16], [1, 0, 0, 4, 83, 174, 55, 440, 96, 102, 17], [1, 0, 0, 4, 84, 168, 70, 420, 111, 96, 18], [1, 0, 0, 4, 85, 162, 85, 400, 126, 90, 19], [1, 0, 0, 4, 86, 156, 100, 380, 141, 84, 20], [1, 0, 0, 4, 87, 150, 115, 360, 156, 78, 21], [1, 0, 0, 4, 88, 144, 130, 340, 171, 72, 22], [1, 0, 0, 4, 89, 138, 145, 320, 186, 66, 23], [1, 0, 0, 4, 90, 132, 160, 300, 201, 60, 24], [1, 0, 0, 4, 91, 126, 175, 280, 216, 54, 25], [1, 0, 0, 4, 92, 120, 190, 260, 231, 48, 26], [1, 0, 0, 4, 93, 114, 205, 240, 246, 42, 27], [1, 0, 0, 4, 94, 108, 220, 220, 261, 36, 28], [1, 0, 0, 4, 95, 102, 235, 200, 276, 30, 29], [1, 0, 0, 4, 96, 96, 250, 180, 291, 24, 30], [1, 0, 0, 4, 97, 90, 265, 160, 306, 18, 31], [1, 0, 0, 4, 98, 84, 280, 140, 321, 12, 32], [1, 0, 0, 4, 99, 78, 295, 120, 336, 6, 33], [1, 0, 0, 4, 100, 72, 310, 100, 351, 0, 34], [1, 0, 0, 5, 75, 201, 5, 495, 60, 115, 15], [1, 0, 0, 5, 76, 195, 20, 475, 75, 109, 16], [1, 0, 0, 5, 77, 189, 35, 455, 90, 103, 17], [1, 0, 0, 5, 78, 183, 50, 435, 105, 97, 18], [1, 0, 0, 5, 79, 177, 65, 415, 120, 91, 19], [1, 0, 0, 5, 80, 171, 80, 395, 135, 85, 20], [1, 0, 0, 5, 81, 165, 95, 375, 150, 79, 21], [1, 0, 0, 5, 82, 159, 110, 355, 165, 73, 22], [1, 0, 0, 5, 83, 153, 125, 335, 180, 67, 23], [1, 0, 0, 5, 84, 147, 140, 315, 195, 61, 24], [1, 0, 0, 5, 85, 141, 155, 295, 210, 55, 25], [1, 0, 0, 5, 86, 135, 170, 275, 225, 49, 26], [1, 0, 0, 5, 87, 129, 185, 255, 240, 43, 27], [1, 0, 0, 5, 88, 123, 200, 235, 255, 37, 28], [1, 0, 0, 5, 89, 117, 215, 215, 270, 31, 29], [1, 0, 0, 5, 90, 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