------- (13, 3072, 8) ALL distance distributions (8, 3072, 8) has 1 possible DDs: {[12, 96, 336, 672, 840, 672, 336, 96, 12]} (9, 3072, 8) has 13 possible DDs: {[0, 108, 0, 1008, 0, 1512, 0, 432, 0, 12], [1, 99, 36, 924, 126, 1386, 84, 396, 9, 11], [2, 90, 72, 840, 252, 1260, 168, 360, 18, 10], [3, 81, 108, 756, 378, 1134, 252, 324, 27, 9], [4, 72, 144, 672, 504, 1008, 336, 288, 36, 8], [5, 63, 180, 588, 630, 882, 420, 252, 45, 7], [6, 54, 216, 504, 756, 756, 504, 216, 54, 6], [7, 45, 252, 420, 882, 630, 588, 180, 63, 5], [8, 36, 288, 336, 1008, 504, 672, 144, 72, 4], [9, 27, 324, 252, 1134, 378, 756, 108, 81, 3], [10, 18, 360, 168, 1260, 252, 840, 72, 90, 2], [11, 9, 396, 84, 1386, 126, 924, 36, 99, 1], [12, 0, 432, 0, 1512, 0, 1008, 0, 108, 0]} (10, 3072, 8) has 49 possible DDs: {[0, 54, 54, 504, 504, 756, 756, 216, 216, 6, 6], [0, 55, 45, 540, 420, 882, 630, 300, 180, 15, 5], [0, 56, 36, 576, 336, 1008, 504, 384, 144, 24, 4], [0, 57, 27, 612, 252, 1134, 378, 468, 108, 33, 3], [0, 58, 18, 648, 168, 1260, 252, 552, 72, 42, 2], [0, 59, 9, 684, 84, 1386, 126, 636, 36, 51, 1], [0, 60, 0, 720, 0, 1512, 0, 720, 0, 60, 0], [1, 45, 90, 420, 630, 630, 840, 180, 225, 5, 6], [1, 46, 81, 456, 546, 756, 714, 264, 189, 14, 5], [1, 47, 72, 492, 462, 882, 588, 348, 153, 23, 4], [1, 48, 63, 528, 378, 1008, 462, 432, 117, 32, 3], [1, 49, 54, 564, 294, 1134, 336, 516, 81, 41, 2], [1, 50, 45, 600, 210, 1260, 210, 600, 45, 50, 1], [1, 51, 36, 636, 126, 1386, 84, 684, 9, 59, 0], [2, 36, 126, 336, 756, 504, 924, 144, 234, 4, 6], [2, 37, 117, 372, 672, 630, 798, 228, 198, 13, 5], [2, 38, 108, 408, 588, 756, 672, 312, 162, 22, 4], [2, 39, 99, 444, 504, 882, 546, 396, 126, 31, 3], [2, 40, 90, 480, 420, 1008, 420, 480, 90, 40, 2], [2, 41, 81, 516, 336, 1134, 294, 564, 54, 49, 1], [2, 42, 72, 552, 252, 1260, 168, 648, 18, 58, 0], [3, 27, 162, 252, 882, 378, 1008, 108, 243, 3, 6], [3, 28, 153, 288, 798, 504, 882, 192, 207, 12, 5], [3, 29, 144, 324, 714, 630, 756, 276, 171, 21, 4], [3, 30, 135, 360, 630, 756, 630, 360, 135, 30, 3], [3, 31, 126, 396, 546, 882, 504, 444, 99, 39, 2], [3, 32, 117, 432, 462, 1008, 378, 528, 63, 48, 1], [3, 33, 108, 468, 378, 1134, 252, 612, 27, 57, 0], [4, 18, 198, 168, 1008, 252, 1092, 72, 252, 2, 6], [4, 19, 189, 204, 924, 378, 966, 156, 216, 11, 5], [4, 20, 180, 240, 840, 504, 840, 240, 180, 20, 4], [4, 21, 171, 276, 756, 630, 714, 324, 144, 29, 3], [4, 22, 162, 312, 672, 756, 588, 408, 108, 38, 2], [4, 23, 153, 348, 588, 882, 462, 492, 72, 47, 1], [4, 24, 144, 384, 504, 1008, 336, 576, 36, 56, 0], [5, 9, 234, 84, 1134, 126, 1176, 36, 261, 1, 6], [5, 10, 225, 120, 1050, 252, 1050, 120, 225, 10, 5], [5, 11, 216, 156, 966, 378, 924, 204, 189, 19, 4], [5, 12, 207, 192, 882, 504, 798, 288, 153, 28, 3], [5, 13, 198, 228, 798, 630, 672, 372, 117, 37, 2], [5, 14, 189, 264, 714, 756, 546, 456, 81, 46, 1], [5, 15, 180, 300, 630, 882, 420, 540, 45, 55, 0], [6, 0, 270, 0, 1260, 0, 1260, 0, 270, 0, 6], [6, 1, 261, 36, 1176, 126, 1134, 84, 234, 9, 5], [6, 2, 252, 72, 1092, 252, 1008, 168, 198, 18, 4], [6, 3, 243, 108, 1008, 378, 882, 252, 162, 27, 3], [6, 4, 234, 144, 924, 504, 756, 336, 126, 36, 2], [6, 5, 225, 180, 840, 630, 630, 420, 90, 45, 1], [6, 6, 216, 216, 756, 756, 504, 504, 54, 54, 0]} (11, 3072, 8) has 176 possible DDs: {[0, 22, 98, 108, 888, 84, 1260, 192, 312, 102, 2, 4], [0, 22, 99, 99, 924, 0, 1386, 66, 396, 66, 11, 3], [0, 23, 89, 144, 804, 210, 1134, 276, 276, 111, 1, 4], [0, 23, 90, 135, 840, 126, 1260, 150, 360, 75, 10, 3], [0, 23, 91, 126, 876, 42, 1386, 24, 444, 39, 19, 2], [0, 24, 80, 180, 720, 336, 1008, 360, 240, 120, 0, 4], [0, 24, 81, 171, 756, 252, 1134, 234, 324, 84, 9, 3], [0, 24, 82, 162, 792, 168, 1260, 108, 408, 48, 18, 2], [0, 25, 72, 207, 672, 378, 1008, 318, 288, 93, 8, 3], [0, 25, 73, 198, 708, 294, 1134, 192, 372, 57, 17, 2], [0, 25, 74, 189, 744, 210, 1260, 66, 456, 21, 26, 1], [0, 26, 63, 243, 588, 504, 882, 402, 252, 102, 7, 3], [0, 26, 64, 234, 624, 420, 1008, 276, 336, 66, 16, 2], [0, 26, 65, 225, 660, 336, 1134, 150, 420, 30, 25, 1], [0, 27, 54, 279, 504, 630, 756, 486, 216, 111, 6, 3], [0, 27, 55, 270, 540, 546, 882, 360, 300, 75, 15, 2], [0, 27, 56, 261, 576, 462, 1008, 234, 384, 39, 24, 1], [0, 27, 57, 252, 612, 378, 1134, 108, 468, 3, 33, 0], [0, 28, 45, 315, 420, 756, 630, 570, 180, 120, 5, 3], [0, 28, 46, 306, 456, 672, 756, 444, 264, 84, 14, 2], [0, 28, 47, 297, 492, 588, 882, 318, 348, 48, 23, 1], [0, 28, 48, 288, 528, 504, 1008, 192, 432, 12, 32, 0], [0, 29, 36, 351, 336, 882, 504, 654, 144, 129, 4, 3], [0, 29, 37, 342, 372, 798, 630, 528, 228, 93, 13, 2], [0, 29, 38, 333, 408, 714, 756, 402, 312, 57, 22, 1], [0, 29, 39, 324, 444, 630, 882, 276, 396, 21, 31, 0], [0, 30, 27, 387, 252, 1008, 378, 738, 108, 138, 3, 3], [0, 30, 28, 378, 288, 924, 504, 612, 192, 102, 12, 2], [0, 30, 29, 369, 324, 840, 630, 486, 276, 66, 21, 1], [0, 30, 30, 360, 360, 756, 756, 360, 360, 30, 30, 0], [0, 31, 18, 423, 168, 1134, 252, 822, 72, 147, 2, 3], [0, 31, 19, 414, 204, 1050, 378, 696, 156, 111, 11, 2], [0, 31, 20, 405, 240, 966, 504, 570, 240, 75, 20, 1], [0, 31, 21, 396, 276, 882, 630, 444, 324, 39, 29, 0], [0, 32, 9, 459, 84, 1260, 126, 906, 36, 156, 1, 3], [0, 32, 10, 450, 120, 1176, 252, 780, 120, 120, 10, 2], [0, 32, 11, 441, 156, 1092, 378, 654, 204, 84, 19, 1], [0, 32, 12, 432, 192, 1008, 504, 528, 288, 48, 28, 0], [0, 33, 0, 495, 0, 1386, 0, 990, 0, 165, 0, 3], [0, 33, 1, 486, 36, 1302, 126, 864, 84, 129, 9, 2], [0, 33, 2, 477, 72, 1218, 252, 738, 168, 93, 18, 1], [0, 33, 3, 468, 108, 1134, 378, 612, 252, 57, 27, 0], [1, 14, 125, 60, 930, 84, 1218, 240, 285, 110, 1, 4], [1, 14, 126, 51, 966, 0, 1344, 114, 369, 74, 10, 3], [1, 15, 116, 96, 846, 210, 1092, 324, 249, 119, 0, 4], [1, 15, 117, 87, 882, 126, 1218, 198, 333, 83, 9, 3], [1, 15, 118, 78, 918, 42, 1344, 72, 417, 47, 18, 2], [1, 16, 108, 123, 798, 252, 1092, 282, 297, 92, 8, 3], [1, 16, 109, 114, 834, 168, 1218, 156, 381, 56, 17, 2], [1, 16, 110, 105, 870, 84, 1344, 30, 465, 20, 26, 1], [1, 17, 99, 159, 714, 378, 966, 366, 261, 101, 7, 3], [1, 17, 100, 150, 750, 294, 1092, 240, 345, 65, 16, 2], [1, 17, 101, 141, 786, 210, 1218, 114, 429, 29, 25, 1], [1, 18, 90, 195, 630, 504, 840, 450, 225, 110, 6, 3], [1, 18, 91, 186, 666, 420, 966, 324, 309, 74, 15, 2], [1, 18, 92, 177, 702, 336, 1092, 198, 393, 38, 24, 1], [1, 18, 93, 168, 738, 252, 1218, 72, 477, 2, 33, 0], [1, 19, 81, 231, 546, 630, 714, 534, 189, 119, 5, 3], [1, 19, 82, 222, 582, 546, 840, 408, 273, 83, 14, 2], [1, 19, 83, 213, 618, 462, 966, 282, 357, 47, 23, 1], [1, 19, 84, 204, 654, 378, 1092, 156, 441, 11, 32, 0], [1, 20, 72, 267, 462, 756, 588, 618, 153, 128, 4, 3], [1, 20, 73, 258, 498, 672, 714, 492, 237, 92, 13, 2], [1, 20, 74, 249, 534, 588, 840, 366, 321, 56, 22, 1], [1, 20, 75, 240, 570, 504, 966, 240, 405, 20, 31, 0], [1, 21, 63, 303, 378, 882, 462, 702, 117, 137, 3, 3], [1, 21, 64, 294, 414, 798, 588, 576, 201, 101, 12, 2], [1, 21, 65, 285, 450, 714, 714, 450, 285, 65, 21, 1], [1, 21, 66, 276, 486, 630, 840, 324, 369, 29, 30, 0], [1, 22, 54, 339, 294, 1008, 336, 786, 81, 146, 2, 3], [1, 22, 55, 330, 330, 924, 462, 660, 165, 110, 11, 2], [1, 22, 56, 321, 366, 840, 588, 534, 249, 74, 20, 1], [1, 22, 57, 312, 402, 756, 714, 408, 333, 38, 29, 0], [1, 23, 45, 375, 210, 1134, 210, 870, 45, 155, 1, 3], [1, 23, 46, 366, 246, 1050, 336, 744, 129, 119, 10, 2], [1, 23, 47, 357, 282, 966, 462, 618, 213, 83, 19, 1], [1, 23, 48, 348, 318, 882, 588, 492, 297, 47, 28, 0], [1, 24, 36, 411, 126, 1260, 84, 954, 9, 164, 0, 3], [1, 24, 37, 402, 162, 1176, 210, 828, 93, 128, 9, 2], [1, 24, 38, 393, 198, 1092, 336, 702, 177, 92, 18, 1], [1, 24, 39, 384, 234, 1008, 462, 576, 261, 56, 27, 0], [1, 25, 28, 438, 78, 1302, 84, 912, 57, 137, 8, 2], [1, 25, 29, 429, 114, 1218, 210, 786, 141, 101, 17, 1], [1, 25, 30, 420, 150, 1134, 336, 660, 225, 65, 26, 0], [1, 26, 20, 465, 30, 1344, 84, 870, 105, 110, 16, 1], [1, 26, 21, 456, 66, 1260, 210, 744, 189, 74, 25, 0], [2, 6, 152, 12, 972, 84, 1176, 288, 258, 118, 0, 4], [2, 6, 153, 3, 1008, 0, 1302, 162, 342, 82, 9, 3], [2, 7, 144, 39, 924, 126, 1176, 246, 306, 91, 8, 3], [2, 7, 145, 30, 960, 42, 1302, 120, 390, 55, 17, 2], [2, 8, 135, 75, 840, 252, 1050, 330, 270, 100, 7, 3], [2, 8, 136, 66, 876, 168, 1176, 204, 354, 64, 16, 2], [2, 8, 137, 57, 912, 84, 1302, 78, 438, 28, 25, 1], [2, 9, 126, 111, 756, 378, 924, 414, 234, 109, 6, 3], [2, 9, 127, 102, 792, 294, 1050, 288, 318, 73, 15, 2], [2, 9, 128, 93, 828, 210, 1176, 162, 402, 37, 24, 1], [2, 9, 129, 84, 864, 126, 1302, 36, 486, 1, 33, 0], [2, 10, 117, 147, 672, 504, 798, 498, 198, 118, 5, 3], [2, 10, 118, 138, 708, 420, 924, 372, 282, 82, 14, 2], [2, 10, 119, 129, 744, 336, 1050, 246, 366, 46, 23, 1], [2, 10, 120, 120, 780, 252, 1176, 120, 450, 10, 32, 0], [2, 11, 108, 183, 588, 630, 672, 582, 162, 127, 4, 3], [2, 11, 109, 174, 624, 546, 798, 456, 246, 91, 13, 2], [2, 11, 110, 165, 660, 462, 924, 330, 330, 55, 22, 1], [2, 11, 111, 156, 696, 378, 1050, 204, 414, 19, 31, 0], [2, 12, 99, 219, 504, 756, 546, 666, 126, 136, 3, 3], [2, 12, 100, 210, 540, 672, 672, 540, 210, 100, 12, 2], [2, 12, 101, 201, 576, 588, 798, 414, 294, 64, 21, 1], [2, 12, 102, 192, 612, 504, 924, 288, 378, 28, 30, 0], [2, 13, 90, 255, 420, 882, 420, 750, 90, 145, 2, 3], [2, 13, 91, 246, 456, 798, 546, 624, 174, 109, 11, 2], [2, 13, 92, 237, 492, 714, 672, 498, 258, 73, 20, 1], [2, 13, 93, 228, 528, 630, 798, 372, 342, 37, 29, 0], [2, 14, 81, 291, 336, 1008, 294, 834, 54, 154, 1, 3], [2, 14, 82, 282, 372, 924, 420, 708, 138, 118, 10, 2], [2, 14, 83, 273, 408, 840, 546, 582, 222, 82, 19, 1], [2, 14, 84, 264, 444, 756, 672, 456, 306, 46, 28, 0], [2, 15, 72, 327, 252, 1134, 168, 918, 18, 163, 0, 3], [2, 15, 73, 318, 288, 1050, 294, 792, 102, 127, 9, 2], [2, 15, 74, 309, 324, 966, 420, 666, 186, 91, 18, 1], [2, 15, 75, 300, 360, 882, 546, 540, 270, 55, 27, 0], [2, 16, 64, 354, 204, 1176, 168, 876, 66, 136, 8, 2], [2, 16, 65, 345, 240, 1092, 294, 750, 150, 100, 17, 1], [2, 16, 66, 336, 276, 1008, 420, 624, 234, 64, 26, 0], [2, 17, 55, 390, 120, 1302, 42, 960, 30, 145, 7, 2], [2, 17, 56, 381, 156, 1218, 168, 834, 114, 109, 16, 1], [2, 17, 57, 372, 192, 1134, 294, 708, 198, 73, 25, 0], [2, 18, 47, 417, 72, 1344, 42, 918, 78, 118, 15, 1], [2, 18, 48, 408, 108, 1260, 168, 792, 162, 82, 24, 0], [2, 19, 39, 444, 24, 1386, 42, 876, 126, 91, 23, 0], [3, 0, 162, 27, 882, 252, 1008, 378, 243, 108, 6, 3], [3, 0, 163, 18, 918, 168, 1134, 252, 327, 72, 15, 2], [3, 0, 164, 9, 954, 84, 1260, 126, 411, 36, 24, 1], [3, 0, 165, 0, 990, 0, 1386, 0, 495, 0, 33, 0], [3, 1, 153, 63, 798, 378, 882, 462, 207, 117, 5, 3], [3, 1, 154, 54, 834, 294, 1008, 336, 291, 81, 14, 2], [3, 1, 155, 45, 870, 210, 1134, 210, 375, 45, 23, 1], [3, 1, 156, 36, 906, 126, 1260, 84, 459, 9, 32, 0], [3, 2, 144, 99, 714, 504, 756, 546, 171, 126, 4, 3], [3, 2, 145, 90, 750, 420, 882, 420, 255, 90, 13, 2], [3, 2, 146, 81, 786, 336, 1008, 294, 339, 54, 22, 1], [3, 2, 147, 72, 822, 252, 1134, 168, 423, 18, 31, 0], [3, 3, 135, 135, 630, 630, 630, 630, 135, 135, 3, 3], [3, 3, 136, 126, 666, 546, 756, 504, 219, 99, 12, 2], [3, 3, 137, 117, 702, 462, 882, 378, 303, 63, 21, 1], [3, 3, 138, 108, 738, 378, 1008, 252, 387, 27, 30, 0], [3, 4, 126, 171, 546, 756, 504, 714, 99, 144, 2, 3], [3, 4, 127, 162, 582, 672, 630, 588, 183, 108, 11, 2], [3, 4, 128, 153, 618, 588, 756, 462, 267, 72, 20, 1], [3, 4, 129, 144, 654, 504, 882, 336, 351, 36, 29, 0], [3, 5, 117, 207, 462, 882, 378, 798, 63, 153, 1, 3], [3, 5, 118, 198, 498, 798, 504, 672, 147, 117, 10, 2], [3, 5, 119, 189, 534, 714, 630, 546, 231, 81, 19, 1], [3, 5, 120, 180, 570, 630, 756, 420, 315, 45, 28, 0], [3, 6, 108, 243, 378, 1008, 252, 882, 27, 162, 0, 3], [3, 6, 109, 234, 414, 924, 378, 756, 111, 126, 9, 2], [3, 6, 110, 225, 450, 840, 504, 630, 195, 90, 18, 1], [3, 6, 111, 216, 486, 756, 630, 504, 279, 54, 27, 0], [3, 7, 100, 270, 330, 1050, 252, 840, 75, 135, 8, 2], [3, 7, 101, 261, 366, 966, 378, 714, 159, 99, 17, 1], [3, 7, 102, 252, 402, 882, 504, 588, 243, 63, 26, 0], [3, 8, 91, 306, 246, 1176, 126, 924, 39, 144, 7, 2], [3, 8, 92, 297, 282, 1092, 252, 798, 123, 108, 16, 1], [3, 8, 93, 288, 318, 1008, 378, 672, 207, 72, 25, 0], [3, 9, 82, 342, 162, 1302, 0, 1008, 3, 153, 6, 2], [3, 9, 83, 333, 198, 1218, 126, 882, 87, 117, 15, 1], [3, 9, 84, 324, 234, 1134, 252, 756, 171, 81, 24, 0], [3, 10, 74, 369, 114, 1344, 0, 966, 51, 126, 14, 1], [3, 10, 75, 360, 150, 1260, 126, 840, 135, 90, 23, 0], [3, 11, 66, 396, 66, 1386, 0, 924, 99, 99, 22, 0], [4, 0, 118, 258, 288, 1176, 84, 972, 12, 152, 6, 2], [4, 0, 119, 249, 324, 1092, 210, 846, 96, 116, 15, 1], [4, 0, 120, 240, 360, 1008, 336, 720, 180, 80, 24, 0], [4, 1, 110, 285, 240, 1218, 84, 930, 60, 125, 14, 1], [4, 1, 111, 276, 276, 1134, 210, 804, 144, 89, 23, 0], [4, 2, 102, 312, 192, 1260, 84, 888, 108, 98, 22, 0]} (12, 3072, 8) has 517 possible DDs: {[0, 7, 90, 12, 627, 450, 504, 1020, 18, 303, 38, 0, 3], [0, 8, 83, 31, 606, 444, 546, 978, 24, 324, 19, 7, 2], [0, 8, 84, 22, 642, 360, 672, 852, 108, 288, 28, 6, 2], [0, 8, 85, 13, 678, 276, 798, 726, 192, 252, 37, 5, 2], [0, 8, 85, 14, 669, 312, 714, 852, 66, 336, 1, 14, 1], [0, 8, 86, 4, 714, 192, 924, 600, 276, 216, 46, 4, 2], [0, 8, 86, 5, 705, 228, 840, 726, 150, 300, 10, 13, 1], [0, 9, 75, 58, 558, 486, 546, 936, 72, 297, 27, 6, 2], [0, 9, 76, 49, 594, 402, 672, 810, 156, 261, 36, 5, 2], [0, 9, 76, 50, 585, 438, 588, 936, 30, 345, 0, 14, 1], [0, 9, 77, 40, 630, 318, 798, 684, 240, 225, 45, 4, 2], [0, 9, 77, 41, 621, 354, 714, 810, 114, 309, 9, 13, 1], [0, 9, 78, 31, 666, 234, 924, 558, 324, 189, 54, 3, 2], [0, 9, 78, 32, 657, 270, 840, 684, 198, 273, 18, 12, 1], [0, 9, 79, 22, 702, 150, 1050, 432, 408, 153, 63, 2, 2], [0, 9, 79, 23, 693, 186, 966, 558, 282, 237, 27, 11, 1], [0, 9, 80, 13, 738, 66, 1176, 306, 492, 117, 72, 1, 2], [0, 9, 80, 14, 729, 102, 1092, 432, 366, 201, 36, 10, 1], [0, 9, 80, 15, 720, 138, 1008, 558, 240, 285, 0, 19, 0], [0, 9, 81, 5, 765, 18, 1218, 306, 450, 165, 45, 9, 1], [0, 9, 81, 6, 756, 54, 1134, 432, 324, 249, 9, 18, 0], [0, 10, 66, 94, 474, 612, 420, 1020, 36, 306, 26, 6, 2], [0, 10, 67, 85, 510, 528, 546, 894, 120, 270, 35, 5, 2], [0, 10, 68, 76, 546, 444, 672, 768, 204, 234, 44, 4, 2], [0, 10, 68, 77, 537, 480, 588, 894, 78, 318, 8, 13, 1], [0, 10, 69, 67, 582, 360, 798, 642, 288, 198, 53, 3, 2], [0, 10, 69, 68, 573, 396, 714, 768, 162, 282, 17, 12, 1], [0, 10, 70, 58, 618, 276, 924, 516, 372, 162, 62, 2, 2], [0, 10, 70, 59, 609, 312, 840, 642, 246, 246, 26, 11, 1], [0, 10, 71, 49, 654, 192, 1050, 390, 456, 126, 71, 1, 2], [0, 10, 71, 50, 645, 228, 966, 516, 330, 210, 35, 10, 1], [0, 10, 72, 40, 690, 108, 1176, 264, 540, 90, 80, 0, 2], [0, 10, 72, 41, 681, 144, 1092, 390, 414, 174, 44, 9, 1], [0, 10, 72, 42, 672, 180, 1008, 516, 288, 258, 8, 18, 0], [0, 10, 73, 32, 717, 60, 1218, 264, 498, 138, 53, 8, 1], [0, 10, 73, 33, 708, 96, 1134, 390, 372, 222, 17, 17, 0], [0, 10, 74, 24, 744, 12, 1260, 264, 456, 186, 26, 16, 0], [0, 11, 57, 130, 390, 738, 294, 1104, 0, 315, 25, 6, 2], [0, 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0], [1, 12, 18, 273, 198, 684, 840, 270, 657, 32, 78, 9, 0], [1, 13, 6, 335, 15, 1026, 420, 606, 495, 65, 86, 3, 1], [1, 13, 6, 336, 6, 1062, 336, 732, 369, 149, 50, 12, 0], [1, 13, 7, 326, 51, 942, 546, 480, 579, 29, 95, 2, 1], [1, 13, 7, 327, 42, 978, 462, 606, 453, 113, 59, 11, 0], [1, 13, 8, 318, 78, 894, 588, 480, 537, 77, 68, 10, 0], [1, 13, 9, 309, 114, 810, 714, 354, 621, 41, 77, 9, 0], [1, 13, 10, 300, 150, 726, 840, 228, 705, 5, 86, 8, 0], [1, 14, 0, 345, 30, 936, 588, 438, 585, 50, 76, 9, 0], [1, 14, 1, 336, 66, 852, 714, 312, 669, 14, 85, 8, 0], [2, 0, 70, 178, 198, 1032, 84, 1116, 102, 232, 54, 2, 2], [2, 0, 71, 169, 234, 948, 210, 990, 186, 196, 63, 1, 2], [2, 0, 71, 170, 225, 984, 126, 1116, 60, 280, 27, 10, 1], [2, 0, 72, 160, 270, 864, 336, 864, 270, 160, 72, 0, 2], [2, 0, 72, 161, 261, 900, 252, 990, 144, 244, 36, 9, 1], [2, 0, 72, 162, 252, 936, 168, 1116, 18, 328, 0, 18, 0], [2, 0, 73, 152, 297, 816, 378, 864, 228, 208, 45, 8, 1], [2, 0, 73, 153, 288, 852, 294, 990, 102, 292, 9, 17, 0], [2, 0, 74, 143, 333, 732, 504, 738, 312, 172, 54, 7, 1], [2, 0, 74, 144, 324, 768, 420, 864, 186, 256, 18, 16, 0], [2, 0, 75, 134, 369, 648, 630, 612, 396, 136, 63, 6, 1], [2, 0, 75, 135, 360, 684, 546, 738, 270, 220, 27, 15, 0], [2, 0, 76, 125, 405, 564, 756, 486, 480, 100, 72, 5, 1], [2, 0, 76, 126, 396, 600, 672, 612, 354, 184, 36, 14, 0], [2, 0, 77, 116, 441, 480, 882, 360, 564, 64, 81, 4, 1], [2, 0, 77, 117, 432, 516, 798, 486, 438, 148, 45, 13, 0], [2, 0, 78, 107, 477, 396, 1008, 234, 648, 28, 90, 3, 1], [2, 0, 78, 108, 468, 432, 924, 360, 522, 112, 54, 12, 0], [2, 0, 79, 99, 504, 348, 1050, 234, 606, 76, 63, 11, 0], [2, 0, 80, 90, 540, 264, 1176, 108, 690, 40, 72, 10, 0], [2, 1, 62, 205, 150, 1074, 84, 1074, 150, 205, 62, 1, 2], [2, 1, 62, 206, 141, 1110, 0, 1200, 24, 289, 26, 10, 1], [2, 1, 63, 196, 186, 990, 210, 948, 234, 169, 71, 0, 2], [2, 1, 63, 197, 177, 1026, 126, 1074, 108, 253, 35, 9, 1], [2, 1, 64, 188, 213, 942, 252, 948, 192, 217, 44, 8, 1], [2, 1, 64, 189, 204, 978, 168, 1074, 66, 301, 8, 17, 0], [2, 1, 65, 179, 249, 858, 378, 822, 276, 181, 53, 7, 1], [2, 1, 65, 180, 240, 894, 294, 948, 150, 265, 17, 16, 0], [2, 1, 66, 170, 285, 774, 504, 696, 360, 145, 62, 6, 1], [2, 1, 66, 171, 276, 810, 420, 822, 234, 229, 26, 15, 0], [2, 1, 67, 161, 321, 690, 630, 570, 444, 109, 71, 5, 1], [2, 1, 67, 162, 312, 726, 546, 696, 318, 193, 35, 14, 0], [2, 1, 68, 152, 357, 606, 756, 444, 528, 73, 80, 4, 1], [2, 1, 68, 153, 348, 642, 672, 570, 402, 157, 44, 13, 0], [2, 1, 69, 143, 393, 522, 882, 318, 612, 37, 89, 3, 1], [2, 1, 69, 144, 384, 558, 798, 444, 486, 121, 53, 12, 0], [2, 1, 70, 134, 429, 438, 1008, 192, 696, 1, 98, 2, 1], [2, 1, 70, 135, 420, 474, 924, 318, 570, 85, 62, 11, 0], [2, 1, 71, 126, 456, 390, 1050, 192, 654, 49, 71, 10, 0], [2, 1, 72, 117, 492, 306, 1176, 66, 738, 13, 80, 9, 0], [2, 2, 54, 232, 102, 1116, 84, 1032, 198, 178, 70, 0, 2], [2, 2, 54, 233, 93, 1152, 0, 1158, 72, 262, 34, 9, 1], [2, 2, 55, 224, 129, 1068, 126, 1032, 156, 226, 43, 8, 1], [2, 2, 55, 225, 120, 1104, 42, 1158, 30, 310, 7, 17, 0], [2, 2, 56, 215, 165, 984, 252, 906, 240, 190, 52, 7, 1], [2, 2, 56, 216, 156, 1020, 168, 1032, 114, 274, 16, 16, 0], [2, 2, 57, 206, 201, 900, 378, 780, 324, 154, 61, 6, 1], [2, 2, 57, 207, 192, 936, 294, 906, 198, 238, 25, 15, 0], [2, 2, 58, 197, 237, 816, 504, 654, 408, 118, 70, 5, 1], [2, 2, 58, 198, 228, 852, 420, 780, 282, 202, 34, 14, 0], [2, 2, 59, 188, 273, 732, 630, 528, 492, 82, 79, 4, 1], [2, 2, 59, 189, 264, 768, 546, 654, 366, 166, 43, 13, 0], [2, 2, 60, 179, 309, 648, 756, 402, 576, 46, 88, 3, 1], [2, 2, 60, 180, 300, 684, 672, 528, 450, 130, 52, 12, 0], [2, 2, 61, 170, 345, 564, 882, 276, 660, 10, 97, 2, 1], [2, 2, 61, 171, 336, 600, 798, 402, 534, 94, 61, 11, 0], [2, 2, 62, 162, 372, 516, 924, 276, 618, 58, 70, 10, 0], [2, 2, 63, 153, 408, 432, 1050, 150, 702, 22, 79, 9, 0], [2, 3, 46, 260, 45, 1194, 0, 1116, 120, 235, 42, 8, 1], [2, 3, 47, 251, 81, 1110, 126, 990, 204, 199, 51, 7, 1], [2, 3, 47, 252, 72, 1146, 42, 1116, 78, 283, 15, 16, 0], [2, 3, 48, 242, 117, 1026, 252, 864, 288, 163, 60, 6, 1], [2, 3, 48, 243, 108, 1062, 168, 990, 162, 247, 24, 15, 0], [2, 3, 49, 233, 153, 942, 378, 738, 372, 127, 69, 5, 1], [2, 3, 49, 234, 144, 978, 294, 864, 246, 211, 33, 14, 0], [2, 3, 50, 224, 189, 858, 504, 612, 456, 91, 78, 4, 1], [2, 3, 50, 225, 180, 894, 420, 738, 330, 175, 42, 13, 0], [2, 3, 51, 215, 225, 774, 630, 486, 540, 55, 87, 3, 1], [2, 3, 51, 216, 216, 810, 546, 612, 414, 139, 51, 12, 0], [2, 3, 52, 206, 261, 690, 756, 360, 624, 19, 96, 2, 1], [2, 3, 52, 207, 252, 726, 672, 486, 498, 103, 60, 11, 0], [2, 3, 53, 198, 288, 642, 798, 360, 582, 67, 69, 10, 0], [2, 3, 54, 189, 324, 558, 924, 234, 666, 31, 78, 9, 0], [2, 4, 39, 278, 33, 1152, 126, 948, 252, 172, 59, 6, 1], [2, 4, 39, 279, 24, 1188, 42, 1074, 126, 256, 23, 15, 0], [2, 4, 40, 269, 69, 1068, 252, 822, 336, 136, 68, 5, 1], [2, 4, 40, 270, 60, 1104, 168, 948, 210, 220, 32, 14, 0], [2, 4, 41, 260, 105, 984, 378, 696, 420, 100, 77, 4, 1], [2, 4, 41, 261, 96, 1020, 294, 822, 294, 184, 41, 13, 0], [2, 4, 42, 251, 141, 900, 504, 570, 504, 64, 86, 3, 1], [2, 4, 42, 252, 132, 936, 420, 696, 378, 148, 50, 12, 0], [2, 4, 43, 242, 177, 816, 630, 444, 588, 28, 95, 2, 1], [2, 4, 43, 243, 168, 852, 546, 570, 462, 112, 59, 11, 0], [2, 4, 44, 234, 204, 768, 672, 444, 546, 76, 68, 10, 0], [2, 4, 45, 225, 240, 684, 798, 318, 630, 40, 77, 9, 0], [2, 4, 46, 216, 276, 600, 924, 192, 714, 4, 86, 8, 0], [2, 5, 32, 296, 21, 1110, 252, 780, 384, 109, 76, 4, 1], [2, 5, 32, 297, 12, 1146, 168, 906, 258, 193, 40, 13, 0], [2, 5, 33, 287, 57, 1026, 378, 654, 468, 73, 85, 3, 1], [2, 5, 33, 288, 48, 1062, 294, 780, 342, 157, 49, 12, 0], [2, 5, 34, 278, 93, 942, 504, 528, 552, 37, 94, 2, 1], [2, 5, 34, 279, 84, 978, 420, 654, 426, 121, 58, 11, 0], [2, 5, 35, 269, 129, 858, 630, 402, 636, 1, 103, 1, 1], [2, 5, 35, 270, 120, 894, 546, 528, 510, 85, 67, 10, 0], [2, 5, 36, 261, 156, 810, 672, 402, 594, 49, 76, 9, 0], [2, 5, 37, 252, 192, 726, 798, 276, 678, 13, 85, 8, 0], [2, 6, 25, 314, 9, 1068, 378, 612, 516, 46, 93, 2, 1], [2, 6, 25, 315, 0, 1104, 294, 738, 390, 130, 57, 11, 0], [2, 6, 26, 305, 45, 984, 504, 486, 600, 10, 102, 1, 1], [2, 6, 26, 306, 36, 1020, 420, 612, 474, 94, 66, 10, 0], [2, 6, 27, 297, 72, 936, 546, 486, 558, 58, 75, 9, 0], [2, 6, 28, 288, 108, 852, 672, 360, 642, 22, 84, 8, 0], [2, 7, 19, 324, 24, 978, 546, 444, 606, 31, 83, 8, 0], [3, 0, 38, 303, 18, 1020, 504, 450, 627, 12, 90, 7, 0]} (13, 3072, 8) has 1530 possible DDs: {[0, 0, 70, 10, 298, 762, 60, 1140, 372, 132, 222, 2, 2, 2], [0, 0, 71, 1, 334, 678, 186, 1014, 456, 96, 231, 1, 2, 2], [0, 0, 71, 2, 325, 714, 102, 1140, 330, 180, 195, 10, 1, 2], [0, 0, 71, 3, 316, 750, 18, 1266, 204, 264, 159, 19, 0, 2], [0, 1, 62, 37, 250, 804, 60, 1098, 420, 105, 230, 1, 2, 2], [0, 1, 63, 28, 286, 720, 186, 972, 504, 69, 239, 0, 2, 2], [0, 1, 63, 29, 277, 756, 102, 1098, 378, 153, 203, 9, 1, 2], [0, 1, 63, 30, 268, 792, 18, 1224, 252, 237, 167, 18, 0, 2], [0, 1, 64, 20, 313, 672, 228, 972, 462, 117, 212, 8, 1, 2], [0, 1, 64, 21, 304, 708, 144, 1098, 336, 201, 176, 17, 0, 2], [0, 1, 65, 11, 349, 588, 354, 846, 546, 81, 221, 7, 1, 2], [0, 1, 65, 12, 340, 624, 270, 972, 420, 165, 185, 16, 0, 2], [0, 1, 65, 15, 314, 723, 54, 1266, 168, 291, 161, 7, 6, 1], [0, 1, 66, 2, 385, 504, 480, 720, 630, 45, 230, 6, 1, 2], [0, 1, 66, 3, 376, 540, 396, 846, 504, 129, 194, 15, 0, 2], [0, 1, 66, 6, 350, 639, 180, 1140, 252, 255, 170, 6, 6, 1], [0, 1, 66, 7, 341, 675, 96, 1266, 126, 339, 134, 15, 5, 1], [0, 1, 66, 8, 332, 711, 12, 1392, 0, 423, 98, 24, 4, 1], [0, 2, 54, 64, 202, 846, 60, 1056, 468, 78, 238, 0, 2, 2], [0, 2, 55, 56, 229, 798, 102, 1056, 426, 126, 211, 8, 1, 2], [0, 2, 55, 57, 220, 834, 18, 1182, 300, 210, 175, 17, 0, 2], [0, 2, 56, 47, 265, 714, 228, 930, 510, 90, 220, 7, 1, 2], [0, 2, 56, 48, 256, 750, 144, 1056, 384, 174, 184, 16, 0, 2], [0, 2, 57, 38, 301, 630, 354, 804, 594, 54, 229, 6, 1, 2], [0, 2, 57, 39, 292, 666, 270, 930, 468, 138, 193, 15, 0, 2], [0, 2, 57, 42, 266, 765, 54, 1224, 216, 264, 169, 6, 6, 1], [0, 2, 58, 29, 337, 546, 480, 678, 678, 18, 238, 5, 1, 2], [0, 2, 58, 30, 328, 582, 396, 804, 552, 102, 202, 14, 0, 2], [0, 2, 58, 33, 302, 681, 180, 1098, 300, 228, 178, 5, 6, 1], [0, 2, 58, 34, 293, 717, 96, 1224, 174, 312, 142, 14, 5, 1], [0, 2, 58, 35, 284, 753, 12, 1350, 48, 396, 106, 23, 4, 1], [0, 2, 59, 21, 364, 498, 522, 678, 636, 66, 211, 13, 0, 2], [0, 2, 59, 24, 338, 597, 306, 972, 384, 192, 187, 4, 6, 1], [0, 2, 59, 25, 329, 633, 222, 1098, 258, 276, 151, 13, 5, 1], [0, 2, 59, 26, 320, 669, 138, 1224, 132, 360, 115, 22, 4, 1], [0, 2, 59, 27, 311, 705, 54, 1350, 6, 444, 79, 31, 3, 1], [0, 2, 59, 28, 303, 732, 6, 1392, 6, 402, 127, 4, 11, 0], [0, 2, 60, 12, 400, 414, 648, 552, 720, 30, 220, 12, 0, 2], [0, 2, 60, 15, 374, 513, 432, 846, 468, 156, 196, 3, 6, 1], [0, 2, 60, 16, 365, 549, 348, 972, 342, 240, 160, 12, 5, 1], [0, 2, 60, 17, 356, 585, 264, 1098, 216, 324, 124, 21, 4, 1], [0, 2, 60, 18, 347, 621, 180, 1224, 90, 408, 88, 30, 3, 1], [0, 2, 60, 19, 339, 648, 132, 1266, 90, 366, 136, 3, 11, 0], [0, 2, 61, 6, 410, 429, 558, 720, 552, 120, 205, 2, 6, 1], [0, 2, 61, 7, 401, 465, 474, 846, 426, 204, 169, 11, 5, 1], [0, 2, 61, 8, 392, 501, 390, 972, 300, 288, 133, 20, 4, 1], [0, 2, 61, 9, 383, 537, 306, 1098, 174, 372, 97, 29, 3, 1], [0, 2, 61, 10, 374, 573, 222, 1224, 48, 456, 61, 38, 2, 1], [0, 2, 61, 10, 375, 564, 258, 1140, 174, 330, 145, 2, 11, 0], [0, 2, 61, 11, 366, 600, 174, 1266, 48, 414, 109, 11, 10, 0], [0, 2, 62, 0, 419, 453, 432, 972, 258, 336, 106, 28, 3, 1], [0, 2, 62, 1, 410, 489, 348, 1098, 132, 420, 70, 37, 2, 1], [0, 2, 62, 1, 411, 480, 384, 1014, 258, 294, 154, 1, 11, 0], [0, 2, 62, 2, 401, 525, 264, 1224, 6, 504, 34, 46, 1, 1], [0, 2, 62, 2, 402, 516, 300, 1140, 132, 378, 118, 10, 10, 0], [0, 2, 62, 3, 393, 552, 216, 1266, 6, 462, 82, 19, 9, 0], [0, 3, 47, 83, 181, 840, 102, 1014, 474, 99, 219, 7, 1, 2], [0, 3, 47, 84, 172, 876, 18, 1140, 348, 183, 183, 16, 0, 2], [0, 3, 48, 74, 217, 756, 228, 888, 558, 63, 228, 6, 1, 2], [0, 3, 48, 75, 208, 792, 144, 1014, 432, 147, 192, 15, 0, 2], [0, 3, 49, 65, 253, 672, 354, 762, 642, 27, 237, 5, 1, 2], [0, 3, 49, 66, 244, 708, 270, 888, 516, 111, 201, 14, 0, 2], [0, 3, 49, 69, 218, 807, 54, 1182, 264, 237, 177, 5, 6, 1], [0, 3, 50, 57, 280, 624, 396, 762, 600, 75, 210, 13, 0, 2], [0, 3, 50, 60, 254, 723, 180, 1056, 348, 201, 186, 4, 6, 1], [0, 3, 50, 61, 245, 759, 96, 1182, 222, 285, 150, 13, 5, 1], [0, 3, 50, 62, 236, 795, 12, 1308, 96, 369, 114, 22, 4, 1], [0, 3, 51, 48, 316, 540, 522, 636, 684, 39, 219, 12, 0, 2], [0, 3, 51, 51, 290, 639, 306, 930, 432, 165, 195, 3, 6, 1], [0, 3, 51, 52, 281, 675, 222, 1056, 306, 249, 159, 12, 5, 1], [0, 3, 51, 53, 272, 711, 138, 1182, 180, 333, 123, 21, 4, 1], [0, 3, 51, 54, 263, 747, 54, 1308, 54, 417, 87, 30, 3, 1], [0, 3, 51, 55, 255, 774, 6, 1350, 54, 375, 135, 3, 11, 0], [0, 3, 52, 39, 352, 456, 648, 510, 768, 3, 228, 11, 0, 2], [0, 3, 52, 42, 326, 555, 432, 804, 516, 129, 204, 2, 6, 1], [0, 3, 52, 43, 317, 591, 348, 930, 390, 213, 168, 11, 5, 1], [0, 3, 52, 44, 308, 627, 264, 1056, 264, 297, 132, 20, 4, 1], [0, 3, 52, 45, 299, 663, 180, 1182, 138, 381, 96, 29, 3, 1], [0, 3, 52, 46, 290, 699, 96, 1308, 12, 465, 60, 38, 2, 1], [0, 3, 52, 46, 291, 690, 132, 1224, 138, 339, 144, 2, 11, 0], [0, 3, 52, 47, 282, 726, 48, 1350, 12, 423, 108, 11, 10, 0], [0, 3, 53, 33, 362, 471, 558, 678, 600, 93, 213, 1, 6, 1], [0, 3, 53, 34, 353, 507, 474, 804, 474, 177, 177, 10, 5, 1], [0, 3, 53, 35, 344, 543, 390, 930, 348, 261, 141, 19, 4, 1], [0, 3, 53, 36, 335, 579, 306, 1056, 222, 345, 105, 28, 3, 1], [0, 3, 53, 37, 326, 615, 222, 1182, 96, 429, 69, 37, 2, 1], [0, 3, 53, 37, 327, 606, 258, 1098, 222, 303, 153, 1, 11, 0], [0, 3, 53, 38, 318, 642, 174, 1224, 96, 387, 117, 10, 10, 0], [0, 3, 54, 24, 398, 387, 684, 552, 684, 57, 222, 0, 6, 1], [0, 3, 54, 25, 389, 423, 600, 678, 558, 141, 186, 9, 5, 1], [0, 3, 54, 26, 380, 459, 516, 804, 432, 225, 150, 18, 4, 1], [0, 3, 54, 27, 371, 495, 432, 930, 306, 309, 114, 27, 3, 1], [0, 3, 54, 28, 362, 531, 348, 1056, 180, 393, 78, 36, 2, 1], [0, 3, 54, 28, 363, 522, 384, 972, 306, 267, 162, 0, 11, 0], [0, 3, 54, 29, 353, 567, 264, 1182, 54, 477, 42, 45, 1, 1], [0, 3, 54, 29, 354, 558, 300, 1098, 180, 351, 126, 9, 10, 0], [0, 3, 54, 30, 345, 594, 216, 1224, 54, 435, 90, 18, 9, 0], [0, 3, 55, 16, 425, 339, 726, 552, 642, 105, 195, 8, 5, 1], [0, 3, 55, 17, 416, 375, 642, 678, 516, 189, 159, 17, 4, 1], [0, 3, 55, 18, 407, 411, 558, 804, 390, 273, 123, 26, 3, 1], [0, 3, 55, 19, 398, 447, 474, 930, 264, 357, 87, 35, 2, 1], [0, 3, 55, 20, 389, 483, 390, 1056, 138, 441, 51, 44, 1, 1], [0, 3, 55, 20, 390, 474, 426, 972, 264, 315, 135, 8, 10, 0], [0, 3, 55, 21, 380, 519, 306, 1182, 12, 525, 15, 53, 0, 1], [0, 3, 55, 21, 381, 510, 342, 1098, 138, 399, 99, 17, 9, 0], [0, 3, 55, 22, 372, 546, 258, 1224, 12, 483, 63, 26, 8, 0], [0, 3, 56, 7, 461, 255, 852, 426, 726, 69, 204, 7, 5, 1], [0, 3, 56, 8, 452, 291, 768, 552, 600, 153, 168, 16, 4, 1], [0, 3, 56, 9, 443, 327, 684, 678, 474, 237, 132, 25, 3, 1], [0, 3, 56, 10, 434, 363, 600, 804, 348, 321, 96, 34, 2, 1], [0, 3, 56, 11, 425, 399, 516, 930, 222, 405, 60, 43, 1, 1], [0, 3, 56, 11, 426, 390, 552, 846, 348, 279, 144, 7, 10, 0], [0, 3, 56, 12, 416, 435, 432, 1056, 96, 489, 24, 52, 0, 1], [0, 3, 56, 12, 417, 426, 468, 972, 222, 363, 108, 16, 9, 0], [0, 3, 56, 13, 408, 462, 384, 1098, 96, 447, 72, 25, 8, 0], [0, 3, 57, 0, 479, 243, 810, 552, 558, 201, 141, 24, 3, 1], [0, 3, 57, 1, 470, 279, 726, 678, 432, 285, 105, 33, 2, 1], [0, 3, 57, 2, 461, 315, 642, 804, 306, 369, 69, 42, 1, 1], [0, 3, 57, 2, 462, 306, 678, 720, 432, 243, 153, 6, 10, 0], [0, 3, 57, 3, 452, 351, 558, 930, 180, 453, 33, 51, 0, 1], [0, 3, 57, 3, 453, 342, 594, 846, 306, 327, 117, 15, 9, 0], [0, 3, 57, 4, 444, 378, 510, 972, 180, 411, 81, 24, 8, 0], [0, 3, 57, 5, 435, 414, 426, 1098, 54, 495, 45, 33, 7, 0], [0, 4, 39, 110, 133, 882, 102, 972, 522, 72, 227, 6, 1, 2], [0, 4, 39, 111, 124, 918, 18, 1098, 396, 156, 191, 15, 0, 2], [0, 4, 40, 101, 169, 798, 228, 846, 606, 36, 236, 5, 1, 2], [0, 4, 40, 102, 160, 834, 144, 972, 480, 120, 200, 14, 0, 2], [0, 4, 41, 92, 205, 714, 354, 720, 690, 0, 245, 4, 1, 2], [0, 4, 41, 93, 196, 750, 270, 846, 564, 84, 209, 13, 0, 2], [0, 4, 41, 96, 170, 849, 54, 1140, 312, 210, 185, 4, 6, 1], [0, 4, 42, 84, 232, 666, 396, 720, 648, 48, 218, 12, 0, 2], [0, 4, 42, 87, 206, 765, 180, 1014, 396, 174, 194, 3, 6, 1], [0, 4, 42, 88, 197, 801, 96, 1140, 270, 258, 158, 12, 5, 1], [0, 4, 42, 89, 188, 837, 12, 1266, 144, 342, 122, 21, 4, 1], [0, 4, 43, 75, 268, 582, 522, 594, 732, 12, 227, 11, 0, 2], [0, 4, 43, 78, 242, 681, 306, 888, 480, 138, 203, 2, 6, 1], [0, 4, 43, 79, 233, 717, 222, 1014, 354, 222, 167, 11, 5, 1], [0, 4, 43, 80, 224, 753, 138, 1140, 228, 306, 131, 20, 4, 1], [0, 4, 43, 81, 215, 789, 54, 1266, 102, 390, 95, 29, 3, 1], [0, 4, 43, 82, 207, 816, 6, 1308, 102, 348, 143, 2, 11, 0], [0, 4, 44, 69, 278, 597, 432, 762, 564, 102, 212, 1, 6, 1], [0, 4, 44, 70, 269, 633, 348, 888, 438, 186, 176, 10, 5, 1], [0, 4, 44, 71, 260, 669, 264, 1014, 312, 270, 140, 19, 4, 1], [0, 4, 44, 72, 251, 705, 180, 1140, 186, 354, 104, 28, 3, 1], [0, 4, 44, 73, 242, 741, 96, 1266, 60, 438, 68, 37, 2, 1], [0, 4, 44, 73, 243, 732, 132, 1182, 186, 312, 152, 1, 11, 0], [0, 4, 44, 74, 234, 768, 48, 1308, 60, 396, 116, 10, 10, 0], [0, 4, 45, 60, 314, 513, 558, 636, 648, 66, 221, 0, 6, 1], [0, 4, 45, 61, 305, 549, 474, 762, 522, 150, 185, 9, 5, 1], [0, 4, 45, 62, 296, 585, 390, 888, 396, 234, 149, 18, 4, 1], [0, 4, 45, 63, 287, 621, 306, 1014, 270, 318, 113, 27, 3, 1], [0, 4, 45, 64, 278, 657, 222, 1140, 144, 402, 77, 36, 2, 1], [0, 4, 45, 64, 279, 648, 258, 1056, 270, 276, 161, 0, 11, 0], [0, 4, 45, 65, 269, 693, 138, 1266, 18, 486, 41, 45, 1, 1], [0, 4, 45, 65, 270, 684, 174, 1182, 144, 360, 125, 9, 10, 0], [0, 4, 45, 66, 261, 720, 90, 1308, 18, 444, 89, 18, 9, 0], [0, 4, 46, 52, 341, 465, 600, 636, 606, 114, 194, 8, 5, 1], [0, 4, 46, 53, 332, 501, 516, 762, 480, 198, 158, 17, 4, 1], [0, 4, 46, 54, 323, 537, 432, 888, 354, 282, 122, 26, 3, 1], [0, 4, 46, 55, 314, 573, 348, 1014, 228, 366, 86, 35, 2, 1], [0, 4, 46, 56, 305, 609, 264, 1140, 102, 450, 50, 44, 1, 1], [0, 4, 46, 56, 306, 600, 300, 1056, 228, 324, 134, 8, 10, 0], [0, 4, 46, 57, 297, 636, 216, 1182, 102, 408, 98, 17, 9, 0], [0, 4, 47, 43, 377, 381, 726, 510, 690, 78, 203, 7, 5, 1], [0, 4, 47, 44, 368, 417, 642, 636, 564, 162, 167, 16, 4, 1], [0, 4, 47, 45, 359, 453, 558, 762, 438, 246, 131, 25, 3, 1], [0, 4, 47, 46, 350, 489, 474, 888, 312, 330, 95, 34, 2, 1], [0, 4, 47, 47, 341, 525, 390, 1014, 186, 414, 59, 43, 1, 1], [0, 4, 47, 47, 342, 516, 426, 930, 312, 288, 143, 7, 10, 0], [0, 4, 47, 48, 332, 561, 306, 1140, 60, 498, 23, 52, 0, 1], [0, 4, 47, 48, 333, 552, 342, 1056, 186, 372, 107, 16, 9, 0], [0, 4, 47, 49, 324, 588, 258, 1182, 60, 456, 71, 25, 8, 0], [0, 4, 48, 34, 413, 297, 852, 384, 774, 42, 212, 6, 5, 1], [0, 4, 48, 35, 404, 333, 768, 510, 648, 126, 176, 15, 4, 1], [0, 4, 48, 36, 395, 369, 684, 636, 522, 210, 140, 24, 3, 1], [0, 4, 48, 37, 386, 405, 600, 762, 396, 294, 104, 33, 2, 1], [0, 4, 48, 38, 377, 441, 516, 888, 270, 378, 68, 42, 1, 1], [0, 4, 48, 38, 378, 432, 552, 804, 396, 252, 152, 6, 10, 0], [0, 4, 48, 39, 368, 477, 432, 1014, 144, 462, 32, 51, 0, 1], [0, 4, 48, 39, 369, 468, 468, 930, 270, 336, 116, 15, 9, 0], [0, 4, 48, 40, 360, 504, 384, 1056, 144, 420, 80, 24, 8, 0], [0, 4, 48, 41, 351, 540, 300, 1182, 18, 504, 44, 33, 7, 0], [0, 4, 49, 25, 449, 213, 978, 258, 858, 6, 221, 5, 5, 1], [0, 4, 49, 26, 440, 249, 894, 384, 732, 90, 185, 14, 4, 1], [0, 4, 49, 27, 431, 285, 810, 510, 606, 174, 149, 23, 3, 1], [0, 4, 49, 28, 422, 321, 726, 636, 480, 258, 113, 32, 2, 1], [0, 4, 49, 29, 413, 357, 642, 762, 354, 342, 77, 41, 1, 1], [0, 4, 49, 29, 414, 348, 678, 678, 480, 216, 161, 5, 10, 0], [0, 4, 49, 30, 404, 393, 558, 888, 228, 426, 41, 50, 0, 1], [0, 4, 49, 30, 405, 384, 594, 804, 354, 300, 125, 14, 9, 0], [0, 4, 49, 31, 396, 420, 510, 930, 228, 384, 89, 23, 8, 0], [0, 4, 49, 32, 387, 456, 426, 1056, 102, 468, 53, 32, 7, 0], [0, 4, 50, 17, 476, 165, 1020, 258, 816, 54, 194, 13, 4, 1], [0, 4, 50, 18, 467, 201, 936, 384, 690, 138, 158, 22, 3, 1], [0, 4, 50, 19, 458, 237, 852, 510, 564, 222, 122, 31, 2, 1], [0, 4, 50, 20, 449, 273, 768, 636, 438, 306, 86, 40, 1, 1], [0, 4, 50, 20, 450, 264, 804, 552, 564, 180, 170, 4, 10, 0], [0, 4, 50, 21, 440, 309, 684, 762, 312, 390, 50, 49, 0, 1], [0, 4, 50, 21, 441, 300, 720, 678, 438, 264, 134, 13, 9, 0], [0, 4, 50, 22, 432, 336, 636, 804, 312, 348, 98, 22, 8, 0], [0, 4, 50, 23, 423, 372, 552, 930, 186, 432, 62, 31, 7, 0], [0, 4, 50, 24, 414, 408, 468, 1056, 60, 516, 26, 40, 6, 0], [0, 4, 51, 8, 512, 81, 1146, 132, 900, 18, 203, 12, 4, 1], [0, 4, 51, 9, 503, 117, 1062, 258, 774, 102, 167, 21, 3, 1], [0, 4, 51, 10, 494, 153, 978, 384, 648, 186, 131, 30, 2, 1], [0, 4, 51, 11, 485, 189, 894, 510, 522, 270, 95, 39, 1, 1], [0, 4, 51, 11, 486, 180, 930, 426, 648, 144, 179, 3, 10, 0], [0, 4, 51, 12, 476, 225, 810, 636, 396, 354, 59, 48, 0, 1], [0, 4, 51, 12, 477, 216, 846, 552, 522, 228, 143, 12, 9, 0], [0, 4, 51, 13, 468, 252, 762, 678, 396, 312, 107, 21, 8, 0], [0, 4, 51, 14, 459, 288, 678, 804, 270, 396, 71, 30, 7, 0], [0, 4, 51, 15, 450, 324, 594, 930, 144, 480, 35, 39, 6, 0], [0, 4, 52, 0, 539, 33, 1188, 132, 858, 66, 176, 20, 3, 1], [0, 4, 52, 1, 530, 69, 1104, 258, 732, 150, 140, 29, 2, 1], [0, 4, 52, 2, 521, 105, 1020, 384, 606, 234, 104, 38, 1, 1], [0, 4, 52, 2, 522, 96, 1056, 300, 732, 108, 188, 2, 10, 0], [0, 4, 52, 3, 512, 141, 936, 510, 480, 318, 68, 47, 0, 1], [0, 4, 52, 3, 513, 132, 972, 426, 606, 192, 152, 11, 9, 0], [0, 4, 52, 4, 504, 168, 888, 552, 480, 276, 116, 20, 8, 0], [0, 4, 52, 5, 495, 204, 804, 678, 354, 360, 80, 29, 7, 0], [0, 4, 52, 6, 486, 240, 720, 804, 228, 444, 44, 38, 6, 0], [0, 4, 52, 7, 477, 276, 636, 930, 102, 528, 8, 47, 5, 0], [0, 5, 31, 137, 85, 924, 102, 930, 570, 45, 235, 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