-------
(14, 7168, 9) ALL distance distributions
(9, 7168, 9) has 1 possible DDs: {[14, 126, 504, 1176, 1764, 1764, 1176, 504, 126, 14]}
(10, 7168, 9) has 15 possible DDs: {[0, 140, 0, 1680, 0, 3528, 0, 1680, 0, 140, 0], [1, 130, 45, 1560, 210, 3276, 210, 1560, 45, 130, 1], [2, 120, 90, 1440, 420, 3024, 420, 1440, 90, 120, 2], [3, 110, 135, 1320, 630, 2772, 630, 1320, 135, 110, 3], [4, 100, 180, 1200, 840, 2520, 840, 1200, 180, 100, 4], [5, 90, 225, 1080, 1050, 2268, 1050, 1080, 225, 90, 5], [6, 80, 270, 960, 1260, 2016, 1260, 960, 270, 80, 6], [7, 70, 315, 840, 1470, 1764, 1470, 840, 315, 70, 7], [8, 60, 360, 720, 1680, 1512, 1680, 720, 360, 60, 8], [9, 50, 405, 600, 1890, 1260, 1890, 600, 405, 50, 9], [10, 40, 450, 480, 2100, 1008, 2100, 480, 450, 40, 10], [11, 30, 495, 360, 2310, 756, 2310, 360, 495, 30, 11], [12, 20, 540, 240, 2520, 504, 2520, 240, 540, 20, 12], [13, 10, 585, 120, 2730, 252, 2730, 120, 585, 10, 13], [14, 0, 630, 0, 2940, 0, 2940, 0, 630, 0, 14]}
(11, 7168, 9) has 64 possible DDs: {[0, 70, 70, 840, 840, 1764, 1764, 840, 840, 70, 70, 0], [0, 71, 60, 885, 720, 1974, 1512, 1050, 720, 115, 60, 1], [0, 72, 50, 930, 600, 2184, 1260, 1260, 600, 160, 50, 2], [0, 73, 40, 975, 480, 2394, 1008, 1470, 480, 205, 40, 3], [0, 74, 30, 1020, 360, 2604, 756, 1680, 360, 250, 30, 4], [0, 75, 20, 1065, 240, 2814, 504, 1890, 240, 295, 20, 5], [0, 76, 10, 1110, 120, 3024, 252, 2100, 120, 340, 10, 6], [0, 77, 0, 1155, 0, 3234, 0, 2310, 0, 385, 0, 7], [1, 60, 115, 720, 1050, 1512, 1974, 720, 885, 60, 71, 0], [1, 61, 105, 765, 930, 1722, 1722, 930, 765, 105, 61, 1], [1, 62, 95, 810, 810, 1932, 1470, 1140, 645, 150, 51, 2], [1, 63, 85, 855, 690, 2142, 1218, 1350, 525, 195, 41, 3], [1, 64, 75, 900, 570, 2352, 966, 1560, 405, 240, 31, 4], [1, 65, 65, 945, 450, 2562, 714, 1770, 285, 285, 21, 5], [1, 66, 55, 990, 330, 2772, 462, 1980, 165, 330, 11, 6], [1, 67, 45, 1035, 210, 2982, 210, 2190, 45, 375, 1, 7], [2, 50, 160, 600, 1260, 1260, 2184, 600, 930, 50, 72, 0], [2, 51, 150, 645, 1140, 1470, 1932, 810, 810, 95, 62, 1], [2, 52, 140, 690, 1020, 1680, 1680, 1020, 690, 140, 52, 2], [2, 53, 130, 735, 900, 1890, 1428, 1230, 570, 185, 42, 3], [2, 54, 120, 780, 780, 2100, 1176, 1440, 450, 230, 32, 4], [2, 55, 110, 825, 660, 2310, 924, 1650, 330, 275, 22, 5], [2, 56, 100, 870, 540, 2520, 672, 1860, 210, 320, 12, 6], [2, 57, 90, 915, 420, 2730, 420, 2070, 90, 365, 2, 7], [3, 40, 205, 480, 1470, 1008, 2394, 480, 975, 40, 73, 0], [3, 41, 195, 525, 1350, 1218, 2142, 690, 855, 85, 63, 1], [3, 42, 185, 570, 1230, 1428, 1890, 900, 735, 130, 53, 2], [3, 43, 175, 615, 1110, 1638, 1638, 1110, 615, 175, 43, 3], [3, 44, 165, 660, 990, 1848, 1386, 1320, 495, 220, 33, 4], [3, 45, 155, 705, 870, 2058, 1134, 1530, 375, 265, 23, 5], [3, 46, 145, 750, 750, 2268, 882, 1740, 255, 310, 13, 6], [3, 47, 135, 795, 630, 2478, 630, 1950, 135, 355, 3, 7], [4, 30, 250, 360, 1680, 756, 2604, 360, 1020, 30, 74, 0], [4, 31, 240, 405, 1560, 966, 2352, 570, 900, 75, 64, 1], [4, 32, 230, 450, 1440, 1176, 2100, 780, 780, 120, 54, 2], [4, 33, 220, 495, 1320, 1386, 1848, 990, 660, 165, 44, 3], [4, 34, 210, 540, 1200, 1596, 1596, 1200, 540, 210, 34, 4], [4, 35, 200, 585, 1080, 1806, 1344, 1410, 420, 255, 24, 5], [4, 36, 190, 630, 960, 2016, 1092, 1620, 300, 300, 14, 6], [4, 37, 180, 675, 840, 2226, 840, 1830, 180, 345, 4, 7], [5, 20, 295, 240, 1890, 504, 2814, 240, 1065, 20, 75, 0], [5, 21, 285, 285, 1770, 714, 2562, 450, 945, 65, 65, 1], [5, 22, 275, 330, 1650, 924, 2310, 660, 825, 110, 55, 2], [5, 23, 265, 375, 1530, 1134, 2058, 870, 705, 155, 45, 3], [5, 24, 255, 420, 1410, 1344, 1806, 1080, 585, 200, 35, 4], [5, 25, 245, 465, 1290, 1554, 1554, 1290, 465, 245, 25, 5], [5, 26, 235, 510, 1170, 1764, 1302, 1500, 345, 290, 15, 6], [5, 27, 225, 555, 1050, 1974, 1050, 1710, 225, 335, 5, 7], [6, 10, 340, 120, 2100, 252, 3024, 120, 1110, 10, 76, 0], [6, 11, 330, 165, 1980, 462, 2772, 330, 990, 55, 66, 1], [6, 12, 320, 210, 1860, 672, 2520, 540, 870, 100, 56, 2], [6, 13, 310, 255, 1740, 882, 2268, 750, 750, 145, 46, 3], [6, 14, 300, 300, 1620, 1092, 2016, 960, 630, 190, 36, 4], [6, 15, 290, 345, 1500, 1302, 1764, 1170, 510, 235, 26, 5], [6, 16, 280, 390, 1380, 1512, 1512, 1380, 390, 280, 16, 6], [6, 17, 270, 435, 1260, 1722, 1260, 1590, 270, 325, 6, 7], [7, 0, 385, 0, 2310, 0, 3234, 0, 1155, 0, 77, 0], [7, 1, 375, 45, 2190, 210, 2982, 210, 1035, 45, 67, 1], [7, 2, 365, 90, 2070, 420, 2730, 420, 915, 90, 57, 2], [7, 3, 355, 135, 1950, 630, 2478, 630, 795, 135, 47, 3], [7, 4, 345, 180, 1830, 840, 2226, 840, 675, 180, 37, 4], [7, 5, 335, 225, 1710, 1050, 1974, 1050, 555, 225, 27, 5], [7, 6, 325, 270, 1590, 1260, 1722, 1260, 435, 270, 17, 6], [7, 7, 315, 315, 1470, 1470, 1470, 1470, 315, 315, 7, 7]}
(12, 7168, 9) has 255 possible DDs: {[0, 29, 130, 185, 1560, 42, 3276, 42, 1560, 185, 130, 29, 0], [0, 30, 120, 230, 1440, 252, 3024, 252, 1440, 230, 120, 30, 0], [0, 30, 121, 220, 1485, 132, 3234, 0, 1650, 110, 165, 20, 1], [0, 31, 110, 275, 1320, 462, 2772, 462, 1320, 275, 110, 31, 0], [0, 31, 111, 265, 1365, 342, 2982, 210, 1530, 155, 155, 21, 1], [0, 32, 100, 320, 1200, 672, 2520, 672, 1200, 320, 100, 32, 0], [0, 32, 101, 310, 1245, 552, 2730, 420, 1410, 200, 145, 22, 1], [0, 32, 102, 300, 1290, 432, 2940, 168, 1620, 80, 190, 12, 2], [0, 33, 90, 365, 1080, 882, 2268, 882, 1080, 365, 90, 33, 0], [0, 33, 91, 355, 1125, 762, 2478, 630, 1290, 245, 135, 23, 1], [0, 33, 92, 345, 1170, 642, 2688, 378, 1500, 125, 180, 13, 2], [0, 33, 93, 335, 1215, 522, 2898, 126, 1710, 5, 225, 3, 3], [0, 34, 80, 410, 960, 1092, 2016, 1092, 960, 410, 80, 34, 0], [0, 34, 81, 400, 1005, 972, 2226, 840, 1170, 290, 125, 24, 1], [0, 34, 82, 390, 1050, 852, 2436, 588, 1380, 170, 170, 14, 2], [0, 34, 83, 380, 1095, 732, 2646, 336, 1590, 50, 215, 4, 3], [0, 35, 70, 455, 840, 1302, 1764, 1302, 840, 455, 70, 35, 0], [0, 35, 71, 445, 885, 1182, 1974, 1050, 1050, 335, 115, 25, 1], [0, 35, 72, 435, 930, 1062, 2184, 798, 1260, 215, 160, 15, 2], [0, 35, 73, 425, 975, 942, 2394, 546, 1470, 95, 205, 5, 3], [0, 36, 60, 500, 720, 1512, 1512, 1512, 720, 500, 60, 36, 0], [0, 36, 61, 490, 765, 1392, 1722, 1260, 930, 380, 105, 26, 1], [0, 36, 62, 480, 810, 1272, 1932, 1008, 1140, 260, 150, 16, 2], [0, 36, 63, 470, 855, 1152, 2142, 756, 1350, 140, 195, 6, 3], [0, 37, 50, 545, 600, 1722, 1260, 1722, 600, 545, 50, 37, 0], [0, 37, 51, 535, 645, 1602, 1470, 1470, 810, 425, 95, 27, 1], [0, 37, 52, 525, 690, 1482, 1680, 1218, 1020, 305, 140, 17, 2], [0, 37, 53, 515, 735, 1362, 1890, 966, 1230, 185, 185, 7, 3], [0, 38, 40, 590, 480, 1932, 1008, 1932, 480, 590, 40, 38, 0], [0, 38, 41, 580, 525, 1812, 1218, 1680, 690, 470, 85, 28, 1], [0, 38, 42, 570, 570, 1692, 1428, 1428, 900, 350, 130, 18, 2], [0, 38, 43, 560, 615, 1572, 1638, 1176, 1110, 230, 175, 8, 3], [0, 39, 30, 635, 360, 2142, 756, 2142, 360, 635, 30, 39, 0], [0, 39, 31, 625, 405, 2022, 966, 1890, 570, 515, 75, 29, 1], [0, 39, 32, 615, 450, 1902, 1176, 1638, 780, 395, 120, 19, 2], [0, 39, 33, 605, 495, 1782, 1386, 1386, 990, 275, 165, 9, 3], [0, 40, 20, 680, 240, 2352, 504, 2352, 240, 680, 20, 40, 0], [0, 40, 21, 670, 285, 2232, 714, 2100, 450, 560, 65, 30, 1], [0, 40, 22, 660, 330, 2112, 924, 1848, 660, 440, 110, 20, 2], [0, 40, 23, 650, 375, 1992, 1134, 1596, 870, 320, 155, 10, 3], [0, 40, 24, 640, 420, 1872, 1344, 1344, 1080, 200, 200, 0, 4], [0, 41, 10, 725, 120, 2562, 252, 2562, 120, 725, 10, 41, 0], [0, 41, 11, 715, 165, 2442, 462, 2310, 330, 605, 55, 31, 1], [0, 41, 12, 705, 210, 2322, 672, 2058, 540, 485, 100, 21, 2], [0, 41, 13, 695, 255, 2202, 882, 1806, 750, 365, 145, 11, 3], [0, 41, 14, 685, 300, 2082, 1092, 1554, 960, 245, 190, 1, 4], [0, 42, 0, 770, 0, 2772, 0, 2772, 0, 770, 0, 42, 0], [0, 42, 1, 760, 45, 2652, 210, 2520, 210, 650, 45, 32, 1], [0, 42, 2, 750, 90, 2532, 420, 2268, 420, 530, 90, 22, 2], [0, 42, 3, 740, 135, 2412, 630, 2016, 630, 410, 135, 12, 3], [0, 42, 4, 730, 180, 2292, 840, 1764, 840, 290, 180, 2, 4], [1, 20, 165, 110, 1650, 0, 3234, 132, 1485, 220, 121, 30, 0], [1, 21, 155, 155, 1530, 210, 2982, 342, 1365, 265, 111, 31, 0], [1, 21, 156, 145, 1575, 90, 3192, 90, 1575, 145, 156, 21, 1], [1, 22, 145, 200, 1410, 420, 2730, 552, 1245, 310, 101, 32, 0], [1, 22, 146, 190, 1455, 300, 2940, 300, 1455, 190, 146, 22, 1], [1, 22, 147, 180, 1500, 180, 3150, 48, 1665, 70, 191, 12, 2], [1, 23, 135, 245, 1290, 630, 2478, 762, 1125, 355, 91, 33, 0], [1, 23, 136, 235, 1335, 510, 2688, 510, 1335, 235, 136, 23, 1], [1, 23, 137, 225, 1380, 390, 2898, 258, 1545, 115, 181, 13, 2], [1, 24, 125, 290, 1170, 840, 2226, 972, 1005, 400, 81, 34, 0], [1, 24, 126, 280, 1215, 720, 2436, 720, 1215, 280, 126, 24, 1], [1, 24, 127, 270, 1260, 600, 2646, 468, 1425, 160, 171, 14, 2], [1, 24, 128, 260, 1305, 480, 2856, 216, 1635, 40, 216, 4, 3], [1, 25, 115, 335, 1050, 1050, 1974, 1182, 885, 445, 71, 35, 0], [1, 25, 116, 325, 1095, 930, 2184, 930, 1095, 325, 116, 25, 1], [1, 25, 117, 315, 1140, 810, 2394, 678, 1305, 205, 161, 15, 2], [1, 25, 118, 305, 1185, 690, 2604, 426, 1515, 85, 206, 5, 3], [1, 26, 105, 380, 930, 1260, 1722, 1392, 765, 490, 61, 36, 0], [1, 26, 106, 370, 975, 1140, 1932, 1140, 975, 370, 106, 26, 1], [1, 26, 107, 360, 1020, 1020, 2142, 888, 1185, 250, 151, 16, 2], [1, 26, 108, 350, 1065, 900, 2352, 636, 1395, 130, 196, 6, 3], [1, 27, 95, 425, 810, 1470, 1470, 1602, 645, 535, 51, 37, 0], [1, 27, 96, 415, 855, 1350, 1680, 1350, 855, 415, 96, 27, 1], [1, 27, 97, 405, 900, 1230, 1890, 1098, 1065, 295, 141, 17, 2], [1, 27, 98, 395, 945, 1110, 2100, 846, 1275, 175, 186, 7, 3], [1, 28, 85, 470, 690, 1680, 1218, 1812, 525, 580, 41, 38, 0], [1, 28, 86, 460, 735, 1560, 1428, 1560, 735, 460, 86, 28, 1], [1, 28, 87, 450, 780, 1440, 1638, 1308, 945, 340, 131, 18, 2], [1, 28, 88, 440, 825, 1320, 1848, 1056, 1155, 220, 176, 8, 3], [1, 29, 75, 515, 570, 1890, 966, 2022, 405, 625, 31, 39, 0], [1, 29, 76, 505, 615, 1770, 1176, 1770, 615, 505, 76, 29, 1], [1, 29, 77, 495, 660, 1650, 1386, 1518, 825, 385, 121, 19, 2], [1, 29, 78, 485, 705, 1530, 1596, 1266, 1035, 265, 166, 9, 3], [1, 30, 65, 560, 450, 2100, 714, 2232, 285, 670, 21, 40, 0], [1, 30, 66, 550, 495, 1980, 924, 1980, 495, 550, 66, 30, 1], [1, 30, 67, 540, 540, 1860, 1134, 1728, 705, 430, 111, 20, 2], [1, 30, 68, 530, 585, 1740, 1344, 1476, 915, 310, 156, 10, 3], [1, 30, 69, 520, 630, 1620, 1554, 1224, 1125, 190, 201, 0, 4], [1, 31, 55, 605, 330, 2310, 462, 2442, 165, 715, 11, 41, 0], [1, 31, 56, 595, 375, 2190, 672, 2190, 375, 595, 56, 31, 1], [1, 31, 57, 585, 420, 2070, 882, 1938, 585, 475, 101, 21, 2], [1, 31, 58, 575, 465, 1950, 1092, 1686, 795, 355, 146, 11, 3], [1, 31, 59, 565, 510, 1830, 1302, 1434, 1005, 235, 191, 1, 4], [1, 32, 45, 650, 210, 2520, 210, 2652, 45, 760, 1, 42, 0], [1, 32, 46, 640, 255, 2400, 420, 2400, 255, 640, 46, 32, 1], [1, 32, 47, 630, 300, 2280, 630, 2148, 465, 520, 91, 22, 2], [1, 32, 48, 620, 345, 2160, 840, 1896, 675, 400, 136, 12, 3], [1, 32, 49, 610, 390, 2040, 1050, 1644, 885, 280, 181, 2, 4], [1, 33, 36, 685, 135, 2610, 168, 2610, 135, 685, 36, 33, 1], [1, 33, 37, 675, 180, 2490, 378, 2358, 345, 565, 81, 23, 2], [1, 33, 38, 665, 225, 2370, 588, 2106, 555, 445, 126, 13, 3], [1, 33, 39, 655, 270, 2250, 798, 1854, 765, 325, 171, 3, 4], [1, 34, 27, 720, 60, 2700, 126, 2568, 225, 610, 71, 24, 2], [1, 34, 28, 710, 105, 2580, 336, 2316, 435, 490, 116, 14, 3], [1, 34, 29, 700, 150, 2460, 546, 2064, 645, 370, 161, 4, 4], [1, 35, 19, 745, 30, 2670, 294, 2274, 525, 415, 151, 5, 4], [2, 12, 190, 80, 1620, 168, 2940, 432, 1290, 300, 102, 32, 0], [2, 12, 191, 70, 1665, 48, 3150, 180, 1500, 180, 147, 22, 1], [2, 13, 180, 125, 1500, 378, 2688, 642, 1170, 345, 92, 33, 0], [2, 13, 181, 115, 1545, 258, 2898, 390, 1380, 225, 137, 23, 1], [2, 13, 182, 105, 1590, 138, 3108, 138, 1590, 105, 182, 13, 2], [2, 14, 170, 170, 1380, 588, 2436, 852, 1050, 390, 82, 34, 0], [2, 14, 171, 160, 1425, 468, 2646, 600, 1260, 270, 127, 24, 1], [2, 14, 172, 150, 1470, 348, 2856, 348, 1470, 150, 172, 14, 2], [2, 14, 173, 140, 1515, 228, 3066, 96, 1680, 30, 217, 4, 3], [2, 15, 160, 215, 1260, 798, 2184, 1062, 930, 435, 72, 35, 0], [2, 15, 161, 205, 1305, 678, 2394, 810, 1140, 315, 117, 25, 1], [2, 15, 162, 195, 1350, 558, 2604, 558, 1350, 195, 162, 15, 2], [2, 15, 163, 185, 1395, 438, 2814, 306, 1560, 75, 207, 5, 3], [2, 16, 150, 260, 1140, 1008, 1932, 1272, 810, 480, 62, 36, 0], [2, 16, 151, 250, 1185, 888, 2142, 1020, 1020, 360, 107, 26, 1], [2, 16, 152, 240, 1230, 768, 2352, 768, 1230, 240, 152, 16, 2], [2, 16, 153, 230, 1275, 648, 2562, 516, 1440, 120, 197, 6, 3], [2, 17, 140, 305, 1020, 1218, 1680, 1482, 690, 525, 52, 37, 0], [2, 17, 141, 295, 1065, 1098, 1890, 1230, 900, 405, 97, 27, 1], [2, 17, 142, 285, 1110, 978, 2100, 978, 1110, 285, 142, 17, 2], [2, 17, 143, 275, 1155, 858, 2310, 726, 1320, 165, 187, 7, 3], [2, 18, 130, 350, 900, 1428, 1428, 1692, 570, 570, 42, 38, 0], [2, 18, 131, 340, 945, 1308, 1638, 1440, 780, 450, 87, 28, 1], [2, 18, 132, 330, 990, 1188, 1848, 1188, 990, 330, 132, 18, 2], [2, 18, 133, 320, 1035, 1068, 2058, 936, 1200, 210, 177, 8, 3], [2, 19, 120, 395, 780, 1638, 1176, 1902, 450, 615, 32, 39, 0], [2, 19, 121, 385, 825, 1518, 1386, 1650, 660, 495, 77, 29, 1], [2, 19, 122, 375, 870, 1398, 1596, 1398, 870, 375, 122, 19, 2], [2, 19, 123, 365, 915, 1278, 1806, 1146, 1080, 255, 167, 9, 3], [2, 20, 110, 440, 660, 1848, 924, 2112, 330, 660, 22, 40, 0], [2, 20, 111, 430, 705, 1728, 1134, 1860, 540, 540, 67, 30, 1], [2, 20, 112, 420, 750, 1608, 1344, 1608, 750, 420, 112, 20, 2], [2, 20, 113, 410, 795, 1488, 1554, 1356, 960, 300, 157, 10, 3], [2, 20, 114, 400, 840, 1368, 1764, 1104, 1170, 180, 202, 0, 4], [2, 21, 100, 485, 540, 2058, 672, 2322, 210, 705, 12, 41, 0], [2, 21, 101, 475, 585, 1938, 882, 2070, 420, 585, 57, 31, 1], [2, 21, 102, 465, 630, 1818, 1092, 1818, 630, 465, 102, 21, 2], [2, 21, 103, 455, 675, 1698, 1302, 1566, 840, 345, 147, 11, 3], [2, 21, 104, 445, 720, 1578, 1512, 1314, 1050, 225, 192, 1, 4], [2, 22, 90, 530, 420, 2268, 420, 2532, 90, 750, 2, 42, 0], [2, 22, 91, 520, 465, 2148, 630, 2280, 300, 630, 47, 32, 1], [2, 22, 92, 510, 510, 2028, 840, 2028, 510, 510, 92, 22, 2], [2, 22, 93, 500, 555, 1908, 1050, 1776, 720, 390, 137, 12, 3], [2, 22, 94, 490, 600, 1788, 1260, 1524, 930, 270, 182, 2, 4], [2, 23, 81, 565, 345, 2358, 378, 2490, 180, 675, 37, 33, 1], [2, 23, 82, 555, 390, 2238, 588, 2238, 390, 555, 82, 23, 2], [2, 23, 83, 545, 435, 2118, 798, 1986, 600, 435, 127, 13, 3], [2, 23, 84, 535, 480, 1998, 1008, 1734, 810, 315, 172, 3, 4], [2, 24, 71, 610, 225, 2568, 126, 2700, 60, 720, 27, 34, 1], [2, 24, 72, 600, 270, 2448, 336, 2448, 270, 600, 72, 24, 2], [2, 24, 73, 590, 315, 2328, 546, 2196, 480, 480, 117, 14, 3], [2, 24, 74, 580, 360, 2208, 756, 1944, 690, 360, 162, 4, 4], [2, 25, 62, 645, 150, 2658, 84, 2658, 150, 645, 62, 25, 2], [2, 25, 63, 635, 195, 2538, 294, 2406, 360, 525, 107, 15, 3], [2, 25, 64, 625, 240, 2418, 504, 2154, 570, 405, 152, 5, 4], [2, 26, 53, 680, 75, 2748, 42, 2616, 240, 570, 97, 16, 3], [2, 26, 54, 670, 120, 2628, 252, 2364, 450, 450, 142, 6, 4], [2, 27, 44, 715, 0, 2838, 0, 2574, 330, 495, 132, 7, 4], [3, 3, 225, 5, 1710, 126, 2898, 522, 1215, 335, 93, 33, 0], [3, 4, 215, 50, 1590, 336, 2646, 732, 1095, 380, 83, 34, 0], [3, 4, 216, 40, 1635, 216, 2856, 480, 1305, 260, 128, 24, 1], [3, 4, 217, 30, 1680, 96, 3066, 228, 1515, 140, 173, 14, 2], [3, 5, 205, 95, 1470, 546, 2394, 942, 975, 425, 73, 35, 0], [3, 5, 206, 85, 1515, 426, 2604, 690, 1185, 305, 118, 25, 1], [3, 5, 207, 75, 1560, 306, 2814, 438, 1395, 185, 163, 15, 2], [3, 5, 208, 65, 1605, 186, 3024, 186, 1605, 65, 208, 5, 3], [3, 6, 195, 140, 1350, 756, 2142, 1152, 855, 470, 63, 36, 0], [3, 6, 196, 130, 1395, 636, 2352, 900, 1065, 350, 108, 26, 1], [3, 6, 197, 120, 1440, 516, 2562, 648, 1275, 230, 153, 16, 2], [3, 6, 198, 110, 1485, 396, 2772, 396, 1485, 110, 198, 6, 3], [3, 7, 185, 185, 1230, 966, 1890, 1362, 735, 515, 53, 37, 0], [3, 7, 186, 175, 1275, 846, 2100, 1110, 945, 395, 98, 27, 1], [3, 7, 187, 165, 1320, 726, 2310, 858, 1155, 275, 143, 17, 2], [3, 7, 188, 155, 1365, 606, 2520, 606, 1365, 155, 188, 7, 3], [3, 8, 175, 230, 1110, 1176, 1638, 1572, 615, 560, 43, 38, 0], [3, 8, 176, 220, 1155, 1056, 1848, 1320, 825, 440, 88, 28, 1], [3, 8, 177, 210, 1200, 936, 2058, 1068, 1035, 320, 133, 18, 2], [3, 8, 178, 200, 1245, 816, 2268, 816, 1245, 200, 178, 8, 3], [3, 9, 165, 275, 990, 1386, 1386, 1782, 495, 605, 33, 39, 0], [3, 9, 166, 265, 1035, 1266, 1596, 1530, 705, 485, 78, 29, 1], [3, 9, 167, 255, 1080, 1146, 1806, 1278, 915, 365, 123, 19, 2], [3, 9, 168, 245, 1125, 1026, 2016, 1026, 1125, 245, 168, 9, 3], [3, 10, 155, 320, 870, 1596, 1134, 1992, 375, 650, 23, 40, 0], [3, 10, 156, 310, 915, 1476, 1344, 1740, 585, 530, 68, 30, 1], [3, 10, 157, 300, 960, 1356, 1554, 1488, 795, 410, 113, 20, 2], [3, 10, 158, 290, 1005, 1236, 1764, 1236, 1005, 290, 158, 10, 3], [3, 10, 159, 280, 1050, 1116, 1974, 984, 1215, 170, 203, 0, 4], [3, 11, 145, 365, 750, 1806, 882, 2202, 255, 695, 13, 41, 0], [3, 11, 146, 355, 795, 1686, 1092, 1950, 465, 575, 58, 31, 1], [3, 11, 147, 345, 840, 1566, 1302, 1698, 675, 455, 103, 21, 2], [3, 11, 148, 335, 885, 1446, 1512, 1446, 885, 335, 148, 11, 3], [3, 11, 149, 325, 930, 1326, 1722, 1194, 1095, 215, 193, 1, 4], [3, 12, 135, 410, 630, 2016, 630, 2412, 135, 740, 3, 42, 0], [3, 12, 136, 400, 675, 1896, 840, 2160, 345, 620, 48, 32, 1], [3, 12, 137, 390, 720, 1776, 1050, 1908, 555, 500, 93, 22, 2], [3, 12, 138, 380, 765, 1656, 1260, 1656, 765, 380, 138, 12, 3], [3, 12, 139, 370, 810, 1536, 1470, 1404, 975, 260, 183, 2, 4], [3, 13, 126, 445, 555, 2106, 588, 2370, 225, 665, 38, 33, 1], [3, 13, 127, 435, 600, 1986, 798, 2118, 435, 545, 83, 23, 2], [3, 13, 128, 425, 645, 1866, 1008, 1866, 645, 425, 128, 13, 3], [3, 13, 129, 415, 690, 1746, 1218, 1614, 855, 305, 173, 3, 4], [3, 14, 116, 490, 435, 2316, 336, 2580, 105, 710, 28, 34, 1], [3, 14, 117, 480, 480, 2196, 546, 2328, 315, 590, 73, 24, 2], [3, 14, 118, 470, 525, 2076, 756, 2076, 525, 470, 118, 14, 3], [3, 14, 119, 460, 570, 1956, 966, 1824, 735, 350, 163, 4, 4], [3, 15, 107, 525, 360, 2406, 294, 2538, 195, 635, 63, 25, 2], [3, 15, 108, 515, 405, 2286, 504, 2286, 405, 515, 108, 15, 3], [3, 15, 109, 505, 450, 2166, 714, 2034, 615, 395, 153, 5, 4], [3, 16, 97, 570, 240, 2616, 42, 2748, 75, 680, 53, 26, 2], [3, 16, 98, 560, 285, 2496, 252, 2496, 285, 560, 98, 16, 3], [3, 16, 99, 550, 330, 2376, 462, 2244, 495, 440, 143, 6, 4], [3, 17, 88, 605, 165, 2706, 0, 2706, 165, 605, 88, 17, 3], [3, 17, 89, 595, 210, 2586, 210, 2454, 375, 485, 133, 7, 4], [4, 0, 200, 200, 1080, 1344, 1344, 1872, 420, 640, 24, 40, 0], [4, 0, 201, 190, 1125, 1224, 1554, 1620, 630, 520, 69, 30, 1], [4, 0, 202, 180, 1170, 1104, 1764, 1368, 840, 400, 114, 20, 2], [4, 0, 203, 170, 1215, 984, 1974, 1116, 1050, 280, 159, 10, 3], [4, 0, 204, 160, 1260, 864, 2184, 864, 1260, 160, 204, 0, 4], [4, 1, 190, 245, 960, 1554, 1092, 2082, 300, 685, 14, 41, 0], [4, 1, 191, 235, 1005, 1434, 1302, 1830, 510, 565, 59, 31, 1], [4, 1, 192, 225, 1050, 1314, 1512, 1578, 720, 445, 104, 21, 2], [4, 1, 193, 215, 1095, 1194, 1722, 1326, 930, 325, 149, 11, 3], [4, 1, 194, 205, 1140, 1074, 1932, 1074, 1140, 205, 194, 1, 4], [4, 2, 180, 290, 840, 1764, 840, 2292, 180, 730, 4, 42, 0], [4, 2, 181, 280, 885, 1644, 1050, 2040, 390, 610, 49, 32, 1], [4, 2, 182, 270, 930, 1524, 1260, 1788, 600, 490, 94, 22, 2], [4, 2, 183, 260, 975, 1404, 1470, 1536, 810, 370, 139, 12, 3], [4, 2, 184, 250, 1020, 1284, 1680, 1284, 1020, 250, 184, 2, 4], [4, 3, 171, 325, 765, 1854, 798, 2250, 270, 655, 39, 33, 1], [4, 3, 172, 315, 810, 1734, 1008, 1998, 480, 535, 84, 23, 2], [4, 3, 173, 305, 855, 1614, 1218, 1746, 690, 415, 129, 13, 3], [4, 3, 174, 295, 900, 1494, 1428, 1494, 900, 295, 174, 3, 4], [4, 4, 161, 370, 645, 2064, 546, 2460, 150, 700, 29, 34, 1], [4, 4, 162, 360, 690, 1944, 756, 2208, 360, 580, 74, 24, 2], [4, 4, 163, 350, 735, 1824, 966, 1956, 570, 460, 119, 14, 3], [4, 4, 164, 340, 780, 1704, 1176, 1704, 780, 340, 164, 4, 4], [4, 5, 151, 415, 525, 2274, 294, 2670, 30, 745, 19, 35, 1], [4, 5, 152, 405, 570, 2154, 504, 2418, 240, 625, 64, 25, 2], [4, 5, 153, 395, 615, 2034, 714, 2166, 450, 505, 109, 15, 3], [4, 5, 154, 385, 660, 1914, 924, 1914, 660, 385, 154, 5, 4], [4, 6, 142, 450, 450, 2364, 252, 2628, 120, 670, 54, 26, 2], [4, 6, 143, 440, 495, 2244, 462, 2376, 330, 550, 99, 16, 3], [4, 6, 144, 430, 540, 2124, 672, 2124, 540, 430, 144, 6, 4], [4, 7, 132, 495, 330, 2574, 0, 2838, 0, 715, 44, 27, 2], [4, 7, 133, 485, 375, 2454, 210, 2586, 210, 595, 89, 17, 3], [4, 7, 134, 475, 420, 2334, 420, 2334, 420, 475, 134, 7, 4], [4, 8, 124, 520, 300, 2544, 168, 2544, 300, 520, 124, 8, 4], [5, 0, 150, 480, 315, 2592, 84, 2592, 315, 480, 150, 0, 5]}
(13, 7168, 9) has 908 possible DDs: {[0, 10, 120, 0, 1210, 396, 1848, 1848, 396, 1210, 0, 120, 10, 0], [0, 11, 111, 35, 1135, 486, 1806, 1806, 486, 1135, 35, 111, 11, 0], [0, 11, 112, 25, 1180, 366, 2016, 1554, 696, 1015, 80, 101, 12, 0], [0, 11, 113, 15, 1225, 246, 2226, 1302, 906, 895, 125, 91, 13, 0], [0, 11, 113, 16, 1215, 291, 2106, 1512, 654, 1105, 5, 136, 3, 1], [0, 11, 114, 5, 1270, 126, 2436, 1050, 1116, 775, 170, 81, 14, 0], [0, 11, 114, 6, 1260, 171, 2316, 1260, 864, 985, 50, 126, 4, 1], [0, 12, 101, 80, 1015, 696, 1554, 2016, 366, 1180, 25, 112, 11, 0], [0, 12, 102, 70, 1060, 576, 1764, 1764, 576, 1060, 70, 102, 12, 0], [0, 12, 103, 60, 1105, 456, 1974, 1512, 786, 940, 115, 92, 13, 0], [0, 12, 104, 50, 1150, 336, 2184, 1260, 996, 820, 160, 82, 14, 0], [0, 12, 104, 51, 1140, 381, 2064, 1470, 744, 1030, 40, 127, 4, 1], [0, 12, 105, 40, 1195, 216, 2394, 1008, 1206, 700, 205, 72, 15, 0], [0, 12, 105, 41, 1185, 261, 2274, 1218, 954, 910, 85, 117, 5, 1], [0, 12, 106, 30, 1240, 96, 2604, 756, 1416, 580, 250, 62, 16, 0], [0, 12, 106, 31, 1230, 141, 2484, 966, 1164, 790, 130, 107, 6, 1], [0, 12, 107, 21, 1275, 21, 2694, 714, 1374, 670, 175, 97, 7, 1], [0, 13, 91, 125, 895, 906, 1302, 2226, 246, 1225, 15, 113, 11, 0], [0, 13, 92, 115, 940, 786, 1512, 1974, 456, 1105, 60, 103, 12, 0], [0, 13, 93, 105, 985, 666, 1722, 1722, 666, 985, 105, 93, 13, 0], [0, 13, 94, 95, 1030, 546, 1932, 1470, 876, 865, 150, 83, 14, 0], [0, 13, 94, 96, 1020, 591, 1812, 1680, 624, 1075, 30, 128, 4, 1], [0, 13, 95, 85, 1075, 426, 2142, 1218, 1086, 745, 195, 73, 15, 0], [0, 13, 95, 86, 1065, 471, 2022, 1428, 834, 955, 75, 118, 5, 1], [0, 13, 96, 75, 1120, 306, 2352, 966, 1296, 625, 240, 63, 16, 0], [0, 13, 96, 76, 1110, 351, 2232, 1176, 1044, 835, 120, 108, 6, 1], [0, 13, 97, 65, 1165, 186, 2562, 714, 1506, 505, 285, 53, 17, 0], [0, 13, 97, 66, 1155, 231, 2442, 924, 1254, 715, 165, 98, 7, 1], [0, 13, 98, 55, 1210, 66, 2772, 462, 1716, 385, 330, 43, 18, 0], [0, 13, 98, 56, 1200, 111, 2652, 672, 1464, 595, 210, 88, 8, 1], [0, 14, 81, 170, 775, 1116, 1050, 2436, 126, 1270, 5, 114, 11, 0], [0, 14, 82, 160, 820, 996, 1260, 2184, 336, 1150, 50, 104, 12, 0], [0, 14, 83, 150, 865, 876, 1470, 1932, 546, 1030, 95, 94, 13, 0], [0, 14, 84, 140, 910, 756, 1680, 1680, 756, 910, 140, 84, 14, 0], [0, 14, 84, 141, 900, 801, 1560, 1890, 504, 1120, 20, 129, 4, 1], [0, 14, 85, 130, 955, 636, 1890, 1428, 966, 790, 185, 74, 15, 0], [0, 14, 85, 131, 945, 681, 1770, 1638, 714, 1000, 65, 119, 5, 1], [0, 14, 86, 120, 1000, 516, 2100, 1176, 1176, 670, 230, 64, 16, 0], [0, 14, 86, 121, 990, 561, 1980, 1386, 924, 880, 110, 109, 6, 1], [0, 14, 87, 110, 1045, 396, 2310, 924, 1386, 550, 275, 54, 17, 0], [0, 14, 87, 111, 1035, 441, 2190, 1134, 1134, 760, 155, 99, 7, 1], [0, 14, 88, 100, 1090, 276, 2520, 672, 1596, 430, 320, 44, 18, 0], [0, 14, 88, 101, 1080, 321, 2400, 882, 1344, 640, 200, 89, 8, 1], [0, 14, 89, 90, 1135, 156, 2730, 420, 1806, 310, 365, 34, 19, 0], [0, 14, 89, 91, 1125, 201, 2610, 630, 1554, 520, 245, 79, 9, 1], [0, 14, 90, 80, 1180, 36, 2940, 168, 2016, 190, 410, 24, 20, 0], [0, 14, 90, 81, 1170, 81, 2820, 378, 1764, 400, 290, 69, 10, 1], [0, 14, 90, 82, 1160, 126, 2700, 588, 1512, 610, 170, 114, 0, 2], [0, 14, 91, 72, 1205, 6, 2910, 336, 1722, 490, 215, 104, 1, 2], [0, 15, 72, 205, 700, 1206, 1008, 2394, 216, 1195, 40, 105, 12, 0], [0, 15, 73, 195, 745, 1086, 1218, 2142, 426, 1075, 85, 95, 13, 0], [0, 15, 74, 185, 790, 966, 1428, 1890, 636, 955, 130, 85, 14, 0], [0, 15, 74, 186, 780, 1011, 1308, 2100, 384, 1165, 10, 130, 4, 1], [0, 15, 75, 175, 835, 846, 1638, 1638, 846, 835, 175, 75, 15, 0], [0, 15, 75, 176, 825, 891, 1518, 1848, 594, 1045, 55, 120, 5, 1], [0, 15, 76, 165, 880, 726, 1848, 1386, 1056, 715, 220, 65, 16, 0], [0, 15, 76, 166, 870, 771, 1728, 1596, 804, 925, 100, 110, 6, 1], [0, 15, 77, 155, 925, 606, 2058, 1134, 1266, 595, 265, 55, 17, 0], [0, 15, 77, 156, 915, 651, 1938, 1344, 1014, 805, 145, 100, 7, 1], [0, 15, 78, 145, 970, 486, 2268, 882, 1476, 475, 310, 45, 18, 0], [0, 15, 78, 146, 960, 531, 2148, 1092, 1224, 685, 190, 90, 8, 1], [0, 15, 79, 135, 1015, 366, 2478, 630, 1686, 355, 355, 35, 19, 0], [0, 15, 79, 136, 1005, 411, 2358, 840, 1434, 565, 235, 80, 9, 1], [0, 15, 80, 125, 1060, 246, 2688, 378, 1896, 235, 400, 25, 20, 0], [0, 15, 80, 126, 1050, 291, 2568, 588, 1644, 445, 280, 70, 10, 1], [0, 15, 80, 127, 1040, 336, 2448, 798, 1392, 655, 160, 115, 0, 2], [0, 15, 81, 115, 1105, 126, 2898, 126, 2106, 115, 445, 15, 21, 0], [0, 15, 81, 116, 1095, 171, 2778, 336, 1854, 325, 325, 60, 11, 1], [0, 15, 81, 117, 1085, 216, 2658, 546, 1602, 535, 205, 105, 1, 2], [0, 15, 82, 106, 1140, 51, 2988, 84, 2064, 205, 370, 50, 12, 1], [0, 15, 82, 107, 1130, 96, 2868, 294, 1812, 415, 250, 95, 2, 2], [0, 16, 62, 250, 580, 1416, 756, 2604, 96, 1240, 30, 106, 12, 0], [0, 16, 63, 240, 625, 1296, 966, 2352, 306, 1120, 75, 96, 13, 0], [0, 16, 64, 230, 670, 1176, 1176, 2100, 516, 1000, 120, 86, 14, 0], [0, 16, 64, 231, 660, 1221, 1056, 2310, 264, 1210, 0, 131, 4, 1], [0, 16, 65, 220, 715, 1056, 1386, 1848, 726, 880, 165, 76, 15, 0], [0, 16, 65, 221, 705, 1101, 1266, 2058, 474, 1090, 45, 121, 5, 1], [0, 16, 66, 210, 760, 936, 1596, 1596, 936, 760, 210, 66, 16, 0], [0, 16, 66, 211, 750, 981, 1476, 1806, 684, 970, 90, 111, 6, 1], [0, 16, 67, 200, 805, 816, 1806, 1344, 1146, 640, 255, 56, 17, 0], [0, 16, 67, 201, 795, 861, 1686, 1554, 894, 850, 135, 101, 7, 1], [0, 16, 68, 190, 850, 696, 2016, 1092, 1356, 520, 300, 46, 18, 0], [0, 16, 68, 191, 840, 741, 1896, 1302, 1104, 730, 180, 91, 8, 1], [0, 16, 69, 180, 895, 576, 2226, 840, 1566, 400, 345, 36, 19, 0], [0, 16, 69, 181, 885, 621, 2106, 1050, 1314, 610, 225, 81, 9, 1], [0, 16, 70, 170, 940, 456, 2436, 588, 1776, 280, 390, 26, 20, 0], [0, 16, 70, 171, 930, 501, 2316, 798, 1524, 490, 270, 71, 10, 1], [0, 16, 70, 172, 920, 546, 2196, 1008, 1272, 700, 150, 116, 0, 2], [0, 16, 71, 160, 985, 336, 2646, 336, 1986, 160, 435, 16, 21, 0], [0, 16, 71, 161, 975, 381, 2526, 546, 1734, 370, 315, 61, 11, 1], [0, 16, 71, 162, 965, 426, 2406, 756, 1482, 580, 195, 106, 1, 2], [0, 16, 72, 150, 1030, 216, 2856, 84, 2196, 40, 480, 6, 22, 0], [0, 16, 72, 151, 1020, 261, 2736, 294, 1944, 250, 360, 51, 12, 1], [0, 16, 72, 152, 1010, 306, 2616, 504, 1692, 460, 240, 96, 2, 2], [0, 16, 73, 141, 1065, 141, 2946, 42, 2154, 130, 405, 41, 13, 1], [0, 16, 73, 142, 1055, 186, 2826, 252, 1902, 340, 285, 86, 3, 2], [0, 16, 74, 132, 1100, 66, 3036, 0, 2112, 220, 330, 76, 4, 2], [0, 17, 53, 285, 505, 1506, 714, 2562, 186, 1165, 65, 97, 13, 0], [0, 17, 54, 275, 550, 1386, 924, 2310, 396, 1045, 110, 87, 14, 0], [0, 17, 55, 265, 595, 1266, 1134, 2058, 606, 925, 155, 77, 15, 0], [0, 17, 55, 266, 585, 1311, 1014, 2268, 354, 1135, 35, 122, 5, 1], [0, 17, 56, 255, 640, 1146, 1344, 1806, 816, 805, 200, 67, 16, 0], [0, 17, 56, 256, 630, 1191, 1224, 2016, 564, 1015, 80, 112, 6, 1], [0, 17, 57, 245, 685, 1026, 1554, 1554, 1026, 685, 245, 57, 17, 0], [0, 17, 57, 246, 675, 1071, 1434, 1764, 774, 895, 125, 102, 7, 1], [0, 17, 58, 235, 730, 906, 1764, 1302, 1236, 565, 290, 47, 18, 0], [0, 17, 58, 236, 720, 951, 1644, 1512, 984, 775, 170, 92, 8, 1], [0, 17, 59, 225, 775, 786, 1974, 1050, 1446, 445, 335, 37, 19, 0], [0, 17, 59, 226, 765, 831, 1854, 1260, 1194, 655, 215, 82, 9, 1], [0, 17, 60, 215, 820, 666, 2184, 798, 1656, 325, 380, 27, 20, 0], [0, 17, 60, 216, 810, 711, 2064, 1008, 1404, 535, 260, 72, 10, 1], [0, 17, 60, 217, 800, 756, 1944, 1218, 1152, 745, 140, 117, 0, 2], [0, 17, 61, 205, 865, 546, 2394, 546, 1866, 205, 425, 17, 21, 0], [0, 17, 61, 206, 855, 591, 2274, 756, 1614, 415, 305, 62, 11, 1], [0, 17, 61, 207, 845, 636, 2154, 966, 1362, 625, 185, 107, 1, 2], [0, 17, 62, 195, 910, 426, 2604, 294, 2076, 85, 470, 7, 22, 0], [0, 17, 62, 196, 900, 471, 2484, 504, 1824, 295, 350, 52, 12, 1], [0, 17, 62, 197, 890, 516, 2364, 714, 1572, 505, 230, 97, 2, 2], [0, 17, 63, 186, 945, 351, 2694, 252, 2034, 175, 395, 42, 13, 1], [0, 17, 63, 187, 935, 396, 2574, 462, 1782, 385, 275, 87, 3, 2], 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726, 2112, 792, 770, 187, 96, 3, 2], [2, 6, 64, 341, 330, 1617, 1056, 1650, 1254, 440, 352, 41, 14, 1], [2, 6, 64, 342, 320, 1662, 936, 1860, 1002, 650, 232, 86, 4, 2], [2, 6, 65, 331, 375, 1497, 1266, 1398, 1464, 320, 397, 31, 15, 1], [2, 6, 65, 332, 365, 1542, 1146, 1608, 1212, 530, 277, 76, 5, 2], [2, 6, 66, 321, 420, 1377, 1476, 1146, 1674, 200, 442, 21, 16, 1], [2, 6, 66, 322, 410, 1422, 1356, 1356, 1422, 410, 322, 66, 6, 2], [2, 6, 67, 311, 465, 1257, 1686, 894, 1884, 80, 487, 11, 17, 1], [2, 6, 67, 312, 455, 1302, 1566, 1104, 1632, 290, 367, 56, 7, 2], [2, 6, 68, 302, 500, 1182, 1776, 852, 1842, 170, 412, 46, 8, 2], [2, 6, 69, 292, 545, 1062, 1986, 600, 2052, 50, 457, 36, 9, 2], [2, 6, 70, 283, 580, 987, 2076, 558, 2010, 140, 382, 71, 0, 3], [2, 6, 71, 273, 625, 867, 2286, 306, 2220, 20, 427, 61, 1, 3], [2, 7, 50, 425, 40, 2262, 84, 2658, 546, 755, 282, 37, 20, 0], [2, 7, 51, 415, 85, 2142, 294, 2406, 756, 635, 327, 27, 21, 0], [2, 7, 51, 416, 75, 2187, 174, 2616, 504, 845, 207, 72, 11, 1], [2, 7, 51, 417, 65, 2232, 54, 2826, 252, 1055, 87, 117, 1, 2], [2, 7, 52, 405, 130, 2022, 504, 2154, 966, 515, 372, 17, 22, 0], [2, 7, 52, 406, 120, 2067, 384, 2364, 714, 725, 252, 62, 12, 1], [2, 7, 52, 407, 110, 2112, 264, 2574, 462, 935, 132, 107, 2, 2], [2, 7, 53, 395, 175, 1902, 714, 1902, 1176, 395, 417, 7, 23, 0], [2, 7, 53, 396, 165, 1947, 594, 2112, 924, 605, 297, 52, 13, 1], [2, 7, 53, 397, 155, 1992, 474, 2322, 672, 815, 177, 97, 3, 2], [2, 7, 54, 386, 210, 1827, 804, 1860, 1134, 485, 342, 42, 14, 1], [2, 7, 54, 387, 200, 1872, 684, 2070, 882, 695, 222, 87, 4, 2], [2, 7, 55, 376, 255, 1707, 1014, 1608, 1344, 365, 387, 32, 15, 1], [2, 7, 55, 377, 245, 1752, 894, 1818, 1092, 575, 267, 77, 5, 2], [2, 7, 56, 366, 300, 1587, 1224, 1356, 1554, 245, 432, 22, 16, 1], [2, 7, 56, 367, 290, 1632, 1104, 1566, 1302, 455, 312, 67, 6, 2], [2, 7, 57, 356, 345, 1467, 1434, 1104, 1764, 125, 477, 12, 17, 1], [2, 7, 57, 357, 335, 1512, 1314, 1314, 1512, 335, 357, 57, 7, 2], [2, 7, 58, 346, 390, 1347, 1644, 852, 1974, 5, 522, 2, 18, 1], [2, 7, 58, 347, 380, 1392, 1524, 1062, 1722, 215, 402, 47, 8, 2], [2, 7, 59, 337, 425, 1272, 1734, 810, 1932, 95, 447, 37, 9, 2], [2, 7, 60, 328, 460, 1197, 1824, 768, 1890, 185, 372, 72, 0, 3], [2, 7, 61, 318, 505, 1077, 2034, 516, 2100, 65, 417, 62, 1, 3], [2, 8, 42, 450, 10, 2232, 252, 2364, 846, 560, 362, 18, 22, 0], [2, 8, 42, 451, 0, 2277, 132, 2574, 594, 770, 242, 63, 12, 1], [2, 8, 43, 440, 55, 2112, 462, 2112, 1056, 440, 407, 8, 23, 0], [2, 8, 43, 441, 45, 2157, 342, 2322, 804, 650, 287, 53, 13, 1], [2, 8, 43, 442, 35, 2202, 222, 2532, 552, 860, 167, 98, 3, 2], [2, 8, 44, 431, 90, 2037, 552, 2070, 1014, 530, 332, 43, 14, 1], [2, 8, 44, 432, 80, 2082, 432, 2280, 762, 740, 212, 88, 4, 2], [2, 8, 45, 421, 135, 1917, 762, 1818, 1224, 410, 377, 33, 15, 1], [2, 8, 45, 422, 125, 1962, 642, 2028, 972, 620, 257, 78, 5, 2], [2, 8, 46, 411, 180, 1797, 972, 1566, 1434, 290, 422, 23, 16, 1], [2, 8, 46, 412, 170, 1842, 852, 1776, 1182, 500, 302, 68, 6, 2], [2, 8, 47, 401, 225, 1677, 1182, 1314, 1644, 170, 467, 13, 17, 1], [2, 8, 47, 402, 215, 1722, 1062, 1524, 1392, 380, 347, 58, 7, 2], [2, 8, 48, 391, 270, 1557, 1392, 1062, 1854, 50, 512, 3, 18, 1], [2, 8, 48, 392, 260, 1602, 1272, 1272, 1602, 260, 392, 48, 8, 2], [2, 8, 49, 382, 305, 1482, 1482, 1020, 1812, 140, 437, 38, 9, 2], [2, 8, 50, 372, 350, 1362, 1692, 768, 2022, 20, 482, 28, 10, 2], [2, 8, 50, 373, 340, 1407, 1572, 978, 1770, 230, 362, 73, 0, 3], [2, 8, 51, 363, 385, 1287, 1782, 726, 1980, 110, 407, 63, 1, 3], [2, 9, 35, 466, 15, 2127, 510, 2028, 1104, 455, 367, 34, 15, 1], [2, 9, 35, 467, 5, 2172, 390, 2238, 852, 665, 247, 79, 5, 2], [2, 9, 36, 456, 60, 2007, 720, 1776, 1314, 335, 412, 24, 16, 1], [2, 9, 36, 457, 50, 2052, 600, 1986, 1062, 545, 292, 69, 6, 2], [2, 9, 37, 446, 105, 1887, 930, 1524, 1524, 215, 457, 14, 17, 1], [2, 9, 37, 447, 95, 1932, 810, 1734, 1272, 425, 337, 59, 7, 2], [2, 9, 38, 436, 150, 1767, 1140, 1272, 1734, 95, 502, 4, 18, 1], [2, 9, 38, 437, 140, 1812, 1020, 1482, 1482, 305, 382, 49, 8, 2], [2, 9, 39, 427, 185, 1692, 1230, 1230, 1692, 185, 427, 39, 9, 2], [2, 9, 40, 417, 230, 1572, 1440, 978, 1902, 65, 472, 29, 10, 2], [2, 9, 40, 418, 220, 1617, 1320, 1188, 1650, 275, 352, 74, 0, 3], [2, 9, 41, 408, 265, 1497, 1530, 936, 1860, 155, 397, 64, 1, 3], [2, 9, 42, 398, 310, 1377, 1740, 684, 2070, 35, 442, 54, 2, 3], [2, 10, 28, 481, 30, 1977, 888, 1482, 1614, 140, 492, 5, 18, 1], [2, 10, 28, 482, 20, 2022, 768, 1692, 1362, 350, 372, 50, 8, 2], [2, 10, 29, 472, 65, 1902, 978, 1440, 1572, 230, 417, 40, 9, 2], [2, 10, 30, 462, 110, 1782, 1188, 1188, 1782, 110, 462, 30, 10, 2], [2, 10, 30, 463, 100, 1827, 1068, 1398, 1530, 320, 342, 75, 0, 3], [2, 10, 31, 453, 145, 1707, 1278, 1146, 1740, 200, 387, 65, 1, 3], [2, 10, 32, 443, 190, 1587, 1488, 894, 1950, 80, 432, 55, 2, 3], [2, 11, 21, 497, 35, 1872, 1146, 1146, 1872, 35, 497, 21, 11, 2], [2, 11, 21, 498, 25, 1917, 1026, 1356, 1620, 245, 377, 66, 1, 3], [2, 11, 22, 488, 70, 1797, 1236, 1104, 1830, 125, 422, 56, 2, 3], [2, 11, 23, 478, 115, 1677, 1446, 852, 2040, 5, 467, 46, 3, 3], [3, 0, 68, 410, 25, 2280, 168, 2412, 861, 520, 388, 10, 23, 0], [3, 0, 68, 411, 15, 2325, 48, 2622, 609, 730, 268, 55, 13, 1], [3, 0, 69, 400, 70, 2160, 378, 2160, 1071, 400, 433, 0, 24, 0], [3, 0, 69, 401, 60, 2205, 258, 2370, 819, 610, 313, 45, 14, 1], [3, 0, 69, 402, 50, 2250, 138, 2580, 567, 820, 193, 90, 4, 2], [3, 0, 70, 391, 105, 2085, 468, 2118, 1029, 490, 358, 35, 15, 1], [3, 0, 70, 392, 95, 2130, 348, 2328, 777, 700, 238, 80, 5, 2], [3, 0, 71, 381, 150, 1965, 678, 1866, 1239, 370, 403, 25, 16, 1], [3, 0, 71, 382, 140, 2010, 558, 2076, 987, 580, 283, 70, 6, 2], [3, 0, 72, 371, 195, 1845, 888, 1614, 1449, 250, 448, 15, 17, 1], [3, 0, 72, 372, 185, 1890, 768, 1824, 1197, 460, 328, 60, 7, 2], [3, 0, 73, 361, 240, 1725, 1098, 1362, 1659, 130, 493, 5, 18, 1], [3, 0, 73, 362, 230, 1770, 978, 1572, 1407, 340, 373, 50, 8, 2], [3, 0, 74, 352, 275, 1650, 1188, 1320, 1617, 220, 418, 40, 9, 2], [3, 0, 75, 342, 320, 1530, 1398, 1068, 1827, 100, 463, 30, 10, 2], [3, 0, 75, 343, 310, 1575, 1278, 1278, 1575, 310, 343, 75, 0, 3], [3, 0, 76, 333, 355, 1455, 1488, 1026, 1785, 190, 388, 65, 1, 3], [3, 0, 77, 323, 400, 1335, 1698, 774, 1995, 70, 433, 55, 2, 3], [3, 1, 61, 426, 30, 2175, 426, 2076, 1119, 415, 393, 26, 16, 1], [3, 1, 61, 427, 20, 2220, 306, 2286, 867, 625, 273, 71, 6, 2], [3, 1, 62, 416, 75, 2055, 636, 1824, 1329, 295, 438, 16, 17, 1], [3, 1, 62, 417, 65, 2100, 516, 2034, 1077, 505, 318, 61, 7, 2], [3, 1, 63, 406, 120, 1935, 846, 1572, 1539, 175, 483, 6, 18, 1], [3, 1, 63, 407, 110, 1980, 726, 1782, 1287, 385, 363, 51, 8, 2], [3, 1, 64, 397, 155, 1860, 936, 1530, 1497, 265, 408, 41, 9, 2], [3, 1, 65, 387, 200, 1740, 1146, 1278, 1707, 145, 453, 31, 10, 2], [3, 1, 65, 388, 190, 1785, 1026, 1488, 1455, 355, 333, 76, 0, 3], [3, 1, 66, 377, 245, 1620, 1356, 1026, 1917, 25, 498, 21, 11, 2], [3, 1, 66, 378, 235, 1665, 1236, 1236, 1665, 235, 378, 66, 1, 3], [3, 1, 67, 368, 280, 1545, 1446, 984, 1875, 115, 423, 56, 2, 3], [3, 2, 53, 451, 0, 2145, 594, 1782, 1419, 220, 473, 7, 18, 1], [3, 2, 54, 442, 35, 2070, 684, 1740, 1377, 310, 398, 42, 9, 2], [3, 2, 55, 432, 80, 1950, 894, 1488, 1587, 190, 443, 32, 10, 2], [3, 2, 55, 433, 70, 1995, 774, 1698, 1335, 400, 323, 77, 0, 3], [3, 2, 56, 422, 125, 1830, 1104, 1236, 1797, 70, 488, 22, 11, 2], [3, 2, 56, 423, 115, 1875, 984, 1446, 1545, 280, 368, 67, 1, 3], [3, 2, 57, 413, 160, 1755, 1194, 1194, 1755, 160, 413, 57, 2, 3], [3, 2, 58, 403, 205, 1635, 1404, 942, 1965, 40, 458, 47, 3, 3], [3, 3, 46, 467, 5, 2040, 852, 1446, 1677, 115, 478, 23, 11, 2], [3, 3, 47, 458, 40, 1965, 942, 1404, 1635, 205, 403, 58, 2, 3], [3, 3, 48, 448, 85, 1845, 1152, 1152, 1845, 85, 448, 48, 3, 3], [3, 4, 39, 483, 10, 1935, 1110, 1110, 1935, 10, 483, 39, 4, 3]}
(14, 7168, 9) has 3045 possible DDs: {[0, 2, 85, 22, 545, 1238, 138, 3108, 138, 1238, 545, 22, 85, 2, 0], [0, 2, 86, 12, 590, 1118, 348, 2856, 348, 1118, 590, 12, 86, 2, 0], [0, 2, 86, 13, 580, 1163, 228, 3066, 96, 1328, 470, 57, 76, 3, 0], [0, 2, 87, 2, 635, 998, 558, 2604, 558, 998, 635, 2, 87, 2, 0], [0, 2, 87, 3, 625, 1043, 438, 2814, 306, 1208, 515, 47, 77, 3, 0], [0, 2, 87, 4, 615, 1088, 318, 3024, 54, 1418, 395, 92, 67, 4, 0], [0, 3, 76, 57, 470, 1328, 96, 3066, 228, 1163, 580, 13, 86, 2, 0], [0, 3, 77, 47, 515, 1208, 306, 2814, 438, 1043, 625, 3, 87, 2, 0], [0, 3, 77, 48, 505, 1253, 186, 3024, 186, 1253, 505, 48, 77, 3, 0], [0, 3, 78, 38, 550, 1133, 396, 2772, 396, 1133, 550, 38, 78, 3, 0], [0, 3, 78, 39, 540, 1178, 276, 2982, 144, 1343, 430, 83, 68, 4, 0], [0, 3, 79, 28, 595, 1013, 606, 2520, 606, 1013, 595, 28, 79, 3, 0], [0, 3, 79, 29, 585, 1058, 486, 2730, 354, 1223, 475, 73, 69, 4, 0], [0, 3, 79, 30, 575, 1103, 366, 2940, 102, 1433, 355, 118, 59, 5, 0], [0, 3, 80, 18, 640, 893, 816, 2268, 816, 893, 640, 18, 80, 3, 0], [0, 3, 80, 19, 630, 938, 696, 2478, 564, 1103, 520, 63, 70, 4, 0], [0, 3, 80, 20, 620, 983, 576, 2688, 312, 1313, 400, 108, 60, 5, 0], [0, 3, 80, 21, 610, 1028, 456, 2898, 60, 1523, 280, 153, 50, 6, 0], [0, 3, 81, 8, 685, 773, 1026, 2016, 1026, 773, 685, 8, 81, 3, 0], [0, 3, 81, 9, 675, 818, 906, 2226, 774, 983, 565, 53, 71, 4, 0], [0, 3, 81, 10, 665, 863, 786, 2436, 522, 1193, 445, 98, 61, 5, 0], [0, 3, 81, 11, 655, 908, 666, 2646, 270, 1403, 325, 143, 51, 6, 0], [0, 3, 81, 12, 645, 953, 546, 2856, 18, 1613, 205, 188, 41, 7, 0], [0, 3, 82, 0, 710, 743, 996, 2184, 732, 1073, 490, 88, 62, 5, 0], [0, 3, 82, 1, 700, 788, 876, 2394, 480, 1283, 370, 133, 52, 6, 0], [0, 3, 82, 2, 690, 833, 756, 2604, 228, 1493, 250, 178, 42, 7, 0], [0, 4, 67, 92, 395, 1418, 54, 3024, 318, 1088, 615, 4, 87, 2, 0], [0, 4, 68, 83, 430, 1343, 144, 2982, 276, 1178, 540, 39, 78, 3, 0], [0, 4, 68, 84, 420, 1388, 24, 3192, 24, 1388, 420, 84, 68, 4, 0], [0, 4, 69, 73, 475, 1223, 354, 2730, 486, 1058, 585, 29, 79, 3, 0], [0, 4, 69, 74, 465, 1268, 234, 2940, 234, 1268, 465, 74, 69, 4, 0], [0, 4, 70, 63, 520, 1103, 564, 2478, 696, 938, 630, 19, 80, 3, 0], [0, 4, 70, 64, 510, 1148, 444, 2688, 444, 1148, 510, 64, 70, 4, 0], [0, 4, 70, 65, 500, 1193, 324, 2898, 192, 1358, 390, 109, 60, 5, 0], [0, 4, 71, 53, 565, 983, 774, 2226, 906, 818, 675, 9, 81, 3, 0], [0, 4, 71, 54, 555, 1028, 654, 2436, 654, 1028, 555, 54, 71, 4, 0], [0, 4, 71, 55, 545, 1073, 534, 2646, 402, 1238, 435, 99, 61, 5, 0], [0, 4, 71, 56, 535, 1118, 414, 2856, 150, 1448, 315, 144, 51, 6, 0], [0, 4, 72, 44, 600, 908, 864, 2184, 864, 908, 600, 44, 72, 4, 0], [0, 4, 72, 45, 590, 953, 744, 2394, 612, 1118, 480, 89, 62, 5, 0], [0, 4, 72, 46, 580, 998, 624, 2604, 360, 1328, 360, 134, 52, 6, 0], [0, 4, 72, 47, 570, 1043, 504, 2814, 108, 1538, 240, 179, 42, 7, 0], [0, 4, 73, 34, 645, 788, 1074, 1932, 1074, 788, 645, 34, 73, 4, 0], [0, 4, 73, 35, 635, 833, 954, 2142, 822, 998, 525, 79, 63, 5, 0], [0, 4, 73, 36, 625, 878, 834, 2352, 570, 1208, 405, 124, 53, 6, 0], [0, 4, 73, 37, 615, 923, 714, 2562, 318, 1418, 285, 169, 43, 7, 0], [0, 4, 73, 38, 605, 968, 594, 2772, 66, 1628, 165, 214, 33, 8, 0], [0, 4, 74, 24, 690, 668, 1284, 1680, 1284, 668, 690, 24, 74, 4, 0], [0, 4, 74, 25, 680, 713, 1164, 1890, 1032, 878, 570, 69, 64, 5, 0], [0, 4, 74, 26, 670, 758, 1044, 2100, 780, 1088, 450, 114, 54, 6, 0], [0, 4, 74, 27, 660, 803, 924, 2310, 528, 1298, 330, 159, 44, 7, 0], [0, 4, 74, 28, 650, 848, 804, 2520, 276, 1508, 210, 204, 34, 8, 0], [0, 4, 74, 29, 640, 893, 684, 2730, 24, 1718, 90, 249, 24, 9, 0], [0, 4, 75, 14, 735, 548, 1494, 1428, 1494, 548, 735, 14, 75, 4, 0], [0, 4, 75, 15, 725, 593, 1374, 1638, 1242, 758, 615, 59, 65, 5, 0], [0, 4, 75, 16, 715, 638, 1254, 1848, 990, 968, 495, 104, 55, 6, 0], [0, 4, 75, 17, 705, 683, 1134, 2058, 738, 1178, 375, 149, 45, 7, 0], [0, 4, 75, 18, 695, 728, 1014, 2268, 486, 1388, 255, 194, 35, 8, 0], [0, 4, 75, 19, 685, 773, 894, 2478, 234, 1598, 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