------- (14, 6656, 9) ALL distance distributions (9, 6656, 9) has 1 possible DDs: {[13, 117, 468, 1092, 1638, 1638, 1092, 468, 117, 13]} (10, 6656, 9) has 14 possible DDs: {[0, 130, 0, 1560, 0, 3276, 0, 1560, 0, 130, 0], [1, 120, 45, 1440, 210, 3024, 210, 1440, 45, 120, 1], [2, 110, 90, 1320, 420, 2772, 420, 1320, 90, 110, 2], [3, 100, 135, 1200, 630, 2520, 630, 1200, 135, 100, 3], [4, 90, 180, 1080, 840, 2268, 840, 1080, 180, 90, 4], [5, 80, 225, 960, 1050, 2016, 1050, 960, 225, 80, 5], [6, 70, 270, 840, 1260, 1764, 1260, 840, 270, 70, 6], [7, 60, 315, 720, 1470, 1512, 1470, 720, 315, 60, 7], [8, 50, 360, 600, 1680, 1260, 1680, 600, 360, 50, 8], [9, 40, 405, 480, 1890, 1008, 1890, 480, 405, 40, 9], [10, 30, 450, 360, 2100, 756, 2100, 360, 450, 30, 10], [11, 20, 495, 240, 2310, 504, 2310, 240, 495, 20, 11], [12, 10, 540, 120, 2520, 252, 2520, 120, 540, 10, 12], [13, 0, 585, 0, 2730, 0, 2730, 0, 585, 0, 13]} (11, 6656, 9) has 54 possible DDs: {[0, 65, 65, 780, 780, 1638, 1638, 780, 780, 65, 65, 0], [0, 66, 55, 825, 660, 1848, 1386, 990, 660, 110, 55, 1], [0, 67, 45, 870, 540, 2058, 1134, 1200, 540, 155, 45, 2], [0, 68, 35, 915, 420, 2268, 882, 1410, 420, 200, 35, 3], [0, 69, 25, 960, 300, 2478, 630, 1620, 300, 245, 25, 4], [0, 70, 15, 1005, 180, 2688, 378, 1830, 180, 290, 15, 5], [0, 71, 5, 1050, 60, 2898, 126, 2040, 60, 335, 5, 6], [1, 55, 110, 660, 990, 1386, 1848, 660, 825, 55, 66, 0], [1, 56, 100, 705, 870, 1596, 1596, 870, 705, 100, 56, 1], [1, 57, 90, 750, 750, 1806, 1344, 1080, 585, 145, 46, 2], [1, 58, 80, 795, 630, 2016, 1092, 1290, 465, 190, 36, 3], [1, 59, 70, 840, 510, 2226, 840, 1500, 345, 235, 26, 4], [1, 60, 60, 885, 390, 2436, 588, 1710, 225, 280, 16, 5], [1, 61, 50, 930, 270, 2646, 336, 1920, 105, 325, 6, 6], [2, 45, 155, 540, 1200, 1134, 2058, 540, 870, 45, 67, 0], [2, 46, 145, 585, 1080, 1344, 1806, 750, 750, 90, 57, 1], [2, 47, 135, 630, 960, 1554, 1554, 960, 630, 135, 47, 2], [2, 48, 125, 675, 840, 1764, 1302, 1170, 510, 180, 37, 3], [2, 49, 115, 720, 720, 1974, 1050, 1380, 390, 225, 27, 4], [2, 50, 105, 765, 600, 2184, 798, 1590, 270, 270, 17, 5], [2, 51, 95, 810, 480, 2394, 546, 1800, 150, 315, 7, 6], [3, 35, 200, 420, 1410, 882, 2268, 420, 915, 35, 68, 0], [3, 36, 190, 465, 1290, 1092, 2016, 630, 795, 80, 58, 1], [3, 37, 180, 510, 1170, 1302, 1764, 840, 675, 125, 48, 2], [3, 38, 170, 555, 1050, 1512, 1512, 1050, 555, 170, 38, 3], [3, 39, 160, 600, 930, 1722, 1260, 1260, 435, 215, 28, 4], [3, 40, 150, 645, 810, 1932, 1008, 1470, 315, 260, 18, 5], [3, 41, 140, 690, 690, 2142, 756, 1680, 195, 305, 8, 6], [4, 25, 245, 300, 1620, 630, 2478, 300, 960, 25, 69, 0], [4, 26, 235, 345, 1500, 840, 2226, 510, 840, 70, 59, 1], [4, 27, 225, 390, 1380, 1050, 1974, 720, 720, 115, 49, 2], [4, 28, 215, 435, 1260, 1260, 1722, 930, 600, 160, 39, 3], [4, 29, 205, 480, 1140, 1470, 1470, 1140, 480, 205, 29, 4], [4, 30, 195, 525, 1020, 1680, 1218, 1350, 360, 250, 19, 5], [4, 31, 185, 570, 900, 1890, 966, 1560, 240, 295, 9, 6], [5, 15, 290, 180, 1830, 378, 2688, 180, 1005, 15, 70, 0], [5, 16, 280, 225, 1710, 588, 2436, 390, 885, 60, 60, 1], [5, 17, 270, 270, 1590, 798, 2184, 600, 765, 105, 50, 2], [5, 18, 260, 315, 1470, 1008, 1932, 810, 645, 150, 40, 3], [5, 19, 250, 360, 1350, 1218, 1680, 1020, 525, 195, 30, 4], [5, 20, 240, 405, 1230, 1428, 1428, 1230, 405, 240, 20, 5], [5, 21, 230, 450, 1110, 1638, 1176, 1440, 285, 285, 10, 6], [5, 22, 220, 495, 990, 1848, 924, 1650, 165, 330, 0, 7], [6, 5, 335, 60, 2040, 126, 2898, 60, 1050, 5, 71, 0], [6, 6, 325, 105, 1920, 336, 2646, 270, 930, 50, 61, 1], [6, 7, 315, 150, 1800, 546, 2394, 480, 810, 95, 51, 2], [6, 8, 305, 195, 1680, 756, 2142, 690, 690, 140, 41, 3], [6, 9, 295, 240, 1560, 966, 1890, 900, 570, 185, 31, 4], [6, 10, 285, 285, 1440, 1176, 1638, 1110, 450, 230, 21, 5], [6, 11, 275, 330, 1320, 1386, 1386, 1320, 330, 275, 11, 6], [6, 12, 265, 375, 1200, 1596, 1134, 1530, 210, 320, 1, 7], [7, 0, 330, 165, 1650, 924, 1848, 990, 495, 220, 22, 5], [7, 1, 320, 210, 1530, 1134, 1596, 1200, 375, 265, 12, 6], [7, 2, 310, 255, 1410, 1344, 1344, 1410, 255, 310, 2, 7]} (12, 6656, 9) has 209 possible DDs: {[0, 27, 120, 175, 1440, 54, 3024, 54, 1440, 175, 120, 27, 0], [0, 28, 110, 220, 1320, 264, 2772, 264, 1320, 220, 110, 28, 0], [0, 28, 111, 210, 1365, 144, 2982, 12, 1530, 100, 155, 18, 1], [0, 29, 100, 265, 1200, 474, 2520, 474, 1200, 265, 100, 29, 0], [0, 29, 101, 255, 1245, 354, 2730, 222, 1410, 145, 145, 19, 1], [0, 30, 90, 310, 1080, 684, 2268, 684, 1080, 310, 90, 30, 0], [0, 30, 91, 300, 1125, 564, 2478, 432, 1290, 190, 135, 20, 1], [0, 30, 92, 290, 1170, 444, 2688, 180, 1500, 70, 180, 10, 2], [0, 31, 80, 355, 960, 894, 2016, 894, 960, 355, 80, 31, 0], [0, 31, 81, 345, 1005, 774, 2226, 642, 1170, 235, 125, 21, 1], [0, 31, 82, 335, 1050, 654, 2436, 390, 1380, 115, 170, 11, 2], [0, 32, 70, 400, 840, 1104, 1764, 1104, 840, 400, 70, 32, 0], [0, 32, 71, 390, 885, 984, 1974, 852, 1050, 280, 115, 22, 1], [0, 32, 72, 380, 930, 864, 2184, 600, 1260, 160, 160, 12, 2], [0, 32, 73, 370, 975, 744, 2394, 348, 1470, 40, 205, 2, 3], [0, 33, 60, 445, 720, 1314, 1512, 1314, 720, 445, 60, 33, 0], [0, 33, 61, 435, 765, 1194, 1722, 1062, 930, 325, 105, 23, 1], [0, 33, 62, 425, 810, 1074, 1932, 810, 1140, 205, 150, 13, 2], [0, 33, 63, 415, 855, 954, 2142, 558, 1350, 85, 195, 3, 3], [0, 34, 50, 490, 600, 1524, 1260, 1524, 600, 490, 50, 34, 0], [0, 34, 51, 480, 645, 1404, 1470, 1272, 810, 370, 95, 24, 1], [0, 34, 52, 470, 690, 1284, 1680, 1020, 1020, 250, 140, 14, 2], [0, 34, 53, 460, 735, 1164, 1890, 768, 1230, 130, 185, 4, 3], [0, 35, 40, 535, 480, 1734, 1008, 1734, 480, 535, 40, 35, 0], [0, 35, 41, 525, 525, 1614, 1218, 1482, 690, 415, 85, 25, 1], [0, 35, 42, 515, 570, 1494, 1428, 1230, 900, 295, 130, 15, 2], [0, 35, 43, 505, 615, 1374, 1638, 978, 1110, 175, 175, 5, 3], [0, 36, 30, 580, 360, 1944, 756, 1944, 360, 580, 30, 36, 0], [0, 36, 31, 570, 405, 1824, 966, 1692, 570, 460, 75, 26, 1], [0, 36, 32, 560, 450, 1704, 1176, 1440, 780, 340, 120, 16, 2], [0, 36, 33, 550, 495, 1584, 1386, 1188, 990, 220, 165, 6, 3], [0, 37, 20, 625, 240, 2154, 504, 2154, 240, 625, 20, 37, 0], [0, 37, 21, 615, 285, 2034, 714, 1902, 450, 505, 65, 27, 1], [0, 37, 22, 605, 330, 1914, 924, 1650, 660, 385, 110, 17, 2], [0, 37, 23, 595, 375, 1794, 1134, 1398, 870, 265, 155, 7, 3], [0, 38, 10, 670, 120, 2364, 252, 2364, 120, 670, 10, 38, 0], [0, 38, 11, 660, 165, 2244, 462, 2112, 330, 550, 55, 28, 1], [0, 38, 12, 650, 210, 2124, 672, 1860, 540, 430, 100, 18, 2], [0, 38, 13, 640, 255, 2004, 882, 1608, 750, 310, 145, 8, 3], [0, 39, 0, 715, 0, 2574, 0, 2574, 0, 715, 0, 39, 0], [0, 39, 1, 705, 45, 2454, 210, 2322, 210, 595, 45, 29, 1], [0, 39, 2, 695, 90, 2334, 420, 2070, 420, 475, 90, 19, 2], [0, 39, 3, 685, 135, 2214, 630, 1818, 630, 355, 135, 9, 3], [1, 18, 155, 100, 1530, 12, 2982, 144, 1365, 210, 111, 28, 0], [1, 19, 145, 145, 1410, 222, 2730, 354, 1245, 255, 101, 29, 0], [1, 19, 146, 135, 1455, 102, 2940, 102, 1455, 135, 146, 19, 1], [1, 20, 135, 190, 1290, 432, 2478, 564, 1125, 300, 91, 30, 0], [1, 20, 136, 180, 1335, 312, 2688, 312, 1335, 180, 136, 20, 1], [1, 20, 137, 170, 1380, 192, 2898, 60, 1545, 60, 181, 10, 2], [1, 21, 125, 235, 1170, 642, 2226, 774, 1005, 345, 81, 31, 0], [1, 21, 126, 225, 1215, 522, 2436, 522, 1215, 225, 126, 21, 1], [1, 21, 127, 215, 1260, 402, 2646, 270, 1425, 105, 171, 11, 2], [1, 22, 115, 280, 1050, 852, 1974, 984, 885, 390, 71, 32, 0], [1, 22, 116, 270, 1095, 732, 2184, 732, 1095, 270, 116, 22, 1], [1, 22, 117, 260, 1140, 612, 2394, 480, 1305, 150, 161, 12, 2], [1, 22, 118, 250, 1185, 492, 2604, 228, 1515, 30, 206, 2, 3], [1, 23, 105, 325, 930, 1062, 1722, 1194, 765, 435, 61, 33, 0], [1, 23, 106, 315, 975, 942, 1932, 942, 975, 315, 106, 23, 1], [1, 23, 107, 305, 1020, 822, 2142, 690, 1185, 195, 151, 13, 2], [1, 23, 108, 295, 1065, 702, 2352, 438, 1395, 75, 196, 3, 3], [1, 24, 95, 370, 810, 1272, 1470, 1404, 645, 480, 51, 34, 0], [1, 24, 96, 360, 855, 1152, 1680, 1152, 855, 360, 96, 24, 1], [1, 24, 97, 350, 900, 1032, 1890, 900, 1065, 240, 141, 14, 2], [1, 24, 98, 340, 945, 912, 2100, 648, 1275, 120, 186, 4, 3], [1, 25, 85, 415, 690, 1482, 1218, 1614, 525, 525, 41, 35, 0], [1, 25, 86, 405, 735, 1362, 1428, 1362, 735, 405, 86, 25, 1], [1, 25, 87, 395, 780, 1242, 1638, 1110, 945, 285, 131, 15, 2], [1, 25, 88, 385, 825, 1122, 1848, 858, 1155, 165, 176, 5, 3], [1, 26, 75, 460, 570, 1692, 966, 1824, 405, 570, 31, 36, 0], [1, 26, 76, 450, 615, 1572, 1176, 1572, 615, 450, 76, 26, 1], [1, 26, 77, 440, 660, 1452, 1386, 1320, 825, 330, 121, 16, 2], [1, 26, 78, 430, 705, 1332, 1596, 1068, 1035, 210, 166, 6, 3], [1, 27, 65, 505, 450, 1902, 714, 2034, 285, 615, 21, 37, 0], [1, 27, 66, 495, 495, 1782, 924, 1782, 495, 495, 66, 27, 1], [1, 27, 67, 485, 540, 1662, 1134, 1530, 705, 375, 111, 17, 2], [1, 27, 68, 475, 585, 1542, 1344, 1278, 915, 255, 156, 7, 3], [1, 28, 55, 550, 330, 2112, 462, 2244, 165, 660, 11, 38, 0], [1, 28, 56, 540, 375, 1992, 672, 1992, 375, 540, 56, 28, 1], [1, 28, 57, 530, 420, 1872, 882, 1740, 585, 420, 101, 18, 2], [1, 28, 58, 520, 465, 1752, 1092, 1488, 795, 300, 146, 8, 3], [1, 29, 45, 595, 210, 2322, 210, 2454, 45, 705, 1, 39, 0], [1, 29, 46, 585, 255, 2202, 420, 2202, 255, 585, 46, 29, 1], [1, 29, 47, 575, 300, 2082, 630, 1950, 465, 465, 91, 19, 2], [1, 29, 48, 565, 345, 1962, 840, 1698, 675, 345, 136, 9, 3], [1, 30, 36, 630, 135, 2412, 168, 2412, 135, 630, 36, 30, 1], [1, 30, 37, 620, 180, 2292, 378, 2160, 345, 510, 81, 20, 2], [1, 30, 38, 610, 225, 2172, 588, 1908, 555, 390, 126, 10, 3], [1, 30, 39, 600, 270, 2052, 798, 1656, 765, 270, 171, 0, 4], [1, 31, 27, 665, 60, 2502, 126, 2370, 225, 555, 71, 21, 2], [1, 31, 28, 655, 105, 2382, 336, 2118, 435, 435, 116, 11, 3], [1, 31, 29, 645, 150, 2262, 546, 1866, 645, 315, 161, 1, 4], [1, 32, 19, 690, 30, 2472, 294, 2076, 525, 360, 151, 2, 4], [2, 10, 180, 70, 1500, 180, 2688, 444, 1170, 290, 92, 30, 0], [2, 10, 181, 60, 1545, 60, 2898, 192, 1380, 170, 137, 20, 1], [2, 11, 170, 115, 1380, 390, 2436, 654, 1050, 335, 82, 31, 0], [2, 11, 171, 105, 1425, 270, 2646, 402, 1260, 215, 127, 21, 1], [2, 11, 172, 95, 1470, 150, 2856, 150, 1470, 95, 172, 11, 2], [2, 12, 160, 160, 1260, 600, 2184, 864, 930, 380, 72, 32, 0], [2, 12, 161, 150, 1305, 480, 2394, 612, 1140, 260, 117, 22, 1], [2, 12, 162, 140, 1350, 360, 2604, 360, 1350, 140, 162, 12, 2], [2, 12, 163, 130, 1395, 240, 2814, 108, 1560, 20, 207, 2, 3], [2, 13, 150, 205, 1140, 810, 1932, 1074, 810, 425, 62, 33, 0], [2, 13, 151, 195, 1185, 690, 2142, 822, 1020, 305, 107, 23, 1], [2, 13, 152, 185, 1230, 570, 2352, 570, 1230, 185, 152, 13, 2], [2, 13, 153, 175, 1275, 450, 2562, 318, 1440, 65, 197, 3, 3], [2, 14, 140, 250, 1020, 1020, 1680, 1284, 690, 470, 52, 34, 0], [2, 14, 141, 240, 1065, 900, 1890, 1032, 900, 350, 97, 24, 1], [2, 14, 142, 230, 1110, 780, 2100, 780, 1110, 230, 142, 14, 2], [2, 14, 143, 220, 1155, 660, 2310, 528, 1320, 110, 187, 4, 3], [2, 15, 130, 295, 900, 1230, 1428, 1494, 570, 515, 42, 35, 0], [2, 15, 131, 285, 945, 1110, 1638, 1242, 780, 395, 87, 25, 1], [2, 15, 132, 275, 990, 990, 1848, 990, 990, 275, 132, 15, 2], [2, 15, 133, 265, 1035, 870, 2058, 738, 1200, 155, 177, 5, 3], [2, 16, 120, 340, 780, 1440, 1176, 1704, 450, 560, 32, 36, 0], [2, 16, 121, 330, 825, 1320, 1386, 1452, 660, 440, 77, 26, 1], [2, 16, 122, 320, 870, 1200, 1596, 1200, 870, 320, 122, 16, 2], [2, 16, 123, 310, 915, 1080, 1806, 948, 1080, 200, 167, 6, 3], [2, 17, 110, 385, 660, 1650, 924, 1914, 330, 605, 22, 37, 0], [2, 17, 111, 375, 705, 1530, 1134, 1662, 540, 485, 67, 27, 1], [2, 17, 112, 365, 750, 1410, 1344, 1410, 750, 365, 112, 17, 2], [2, 17, 113, 355, 795, 1290, 1554, 1158, 960, 245, 157, 7, 3], [2, 18, 100, 430, 540, 1860, 672, 2124, 210, 650, 12, 38, 0], [2, 18, 101, 420, 585, 1740, 882, 1872, 420, 530, 57, 28, 1], [2, 18, 102, 410, 630, 1620, 1092, 1620, 630, 410, 102, 18, 2], [2, 18, 103, 400, 675, 1500, 1302, 1368, 840, 290, 147, 8, 3], [2, 19, 90, 475, 420, 2070, 420, 2334, 90, 695, 2, 39, 0], [2, 19, 91, 465, 465, 1950, 630, 2082, 300, 575, 47, 29, 1], [2, 19, 92, 455, 510, 1830, 840, 1830, 510, 455, 92, 19, 2], [2, 19, 93, 445, 555, 1710, 1050, 1578, 720, 335, 137, 9, 3], [2, 20, 81, 510, 345, 2160, 378, 2292, 180, 620, 37, 30, 1], [2, 20, 82, 500, 390, 2040, 588, 2040, 390, 500, 82, 20, 2], [2, 20, 83, 490, 435, 1920, 798, 1788, 600, 380, 127, 10, 3], [2, 20, 84, 480, 480, 1800, 1008, 1536, 810, 260, 172, 0, 4], [2, 21, 71, 555, 225, 2370, 126, 2502, 60, 665, 27, 31, 1], [2, 21, 72, 545, 270, 2250, 336, 2250, 270, 545, 72, 21, 2], [2, 21, 73, 535, 315, 2130, 546, 1998, 480, 425, 117, 11, 3], [2, 21, 74, 525, 360, 2010, 756, 1746, 690, 305, 162, 1, 4], [2, 22, 62, 590, 150, 2460, 84, 2460, 150, 590, 62, 22, 2], [2, 22, 63, 580, 195, 2340, 294, 2208, 360, 470, 107, 12, 3], [2, 22, 64, 570, 240, 2220, 504, 1956, 570, 350, 152, 2, 4], [2, 23, 53, 625, 75, 2550, 42, 2418, 240, 515, 97, 13, 3], [2, 23, 54, 615, 120, 2430, 252, 2166, 450, 395, 142, 3, 4], [2, 24, 44, 660, 0, 2640, 0, 2376, 330, 440, 132, 4, 4], [3, 2, 205, 40, 1470, 348, 2394, 744, 975, 370, 73, 32, 0], [3, 2, 206, 30, 1515, 228, 2604, 492, 1185, 250, 118, 22, 1], [3, 2, 207, 20, 1560, 108, 2814, 240, 1395, 130, 163, 12, 2], [3, 3, 195, 85, 1350, 558, 2142, 954, 855, 415, 63, 33, 0], [3, 3, 196, 75, 1395, 438, 2352, 702, 1065, 295, 108, 23, 1], [3, 3, 197, 65, 1440, 318, 2562, 450, 1275, 175, 153, 13, 2], [3, 3, 198, 55, 1485, 198, 2772, 198, 1485, 55, 198, 3, 3], [3, 4, 185, 130, 1230, 768, 1890, 1164, 735, 460, 53, 34, 0], [3, 4, 186, 120, 1275, 648, 2100, 912, 945, 340, 98, 24, 1], [3, 4, 187, 110, 1320, 528, 2310, 660, 1155, 220, 143, 14, 2], [3, 4, 188, 100, 1365, 408, 2520, 408, 1365, 100, 188, 4, 3], [3, 5, 175, 175, 1110, 978, 1638, 1374, 615, 505, 43, 35, 0], [3, 5, 176, 165, 1155, 858, 1848, 1122, 825, 385, 88, 25, 1], [3, 5, 177, 155, 1200, 738, 2058, 870, 1035, 265, 133, 15, 2], [3, 5, 178, 145, 1245, 618, 2268, 618, 1245, 145, 178, 5, 3], [3, 6, 165, 220, 990, 1188, 1386, 1584, 495, 550, 33, 36, 0], [3, 6, 166, 210, 1035, 1068, 1596, 1332, 705, 430, 78, 26, 1], [3, 6, 167, 200, 1080, 948, 1806, 1080, 915, 310, 123, 16, 2], [3, 6, 168, 190, 1125, 828, 2016, 828, 1125, 190, 168, 6, 3], [3, 7, 155, 265, 870, 1398, 1134, 1794, 375, 595, 23, 37, 0], [3, 7, 156, 255, 915, 1278, 1344, 1542, 585, 475, 68, 27, 1], [3, 7, 157, 245, 960, 1158, 1554, 1290, 795, 355, 113, 17, 2], [3, 7, 158, 235, 1005, 1038, 1764, 1038, 1005, 235, 158, 7, 3], [3, 8, 145, 310, 750, 1608, 882, 2004, 255, 640, 13, 38, 0], [3, 8, 146, 300, 795, 1488, 1092, 1752, 465, 520, 58, 28, 1], [3, 8, 147, 290, 840, 1368, 1302, 1500, 675, 400, 103, 18, 2], [3, 8, 148, 280, 885, 1248, 1512, 1248, 885, 280, 148, 8, 3], [3, 9, 135, 355, 630, 1818, 630, 2214, 135, 685, 3, 39, 0], [3, 9, 136, 345, 675, 1698, 840, 1962, 345, 565, 48, 29, 1], [3, 9, 137, 335, 720, 1578, 1050, 1710, 555, 445, 93, 19, 2], [3, 9, 138, 325, 765, 1458, 1260, 1458, 765, 325, 138, 9, 3], [3, 10, 126, 390, 555, 1908, 588, 2172, 225, 610, 38, 30, 1], [3, 10, 127, 380, 600, 1788, 798, 1920, 435, 490, 83, 20, 2], [3, 10, 128, 370, 645, 1668, 1008, 1668, 645, 370, 128, 10, 3], [3, 10, 129, 360, 690, 1548, 1218, 1416, 855, 250, 173, 0, 4], [3, 11, 116, 435, 435, 2118, 336, 2382, 105, 655, 28, 31, 1], [3, 11, 117, 425, 480, 1998, 546, 2130, 315, 535, 73, 21, 2], [3, 11, 118, 415, 525, 1878, 756, 1878, 525, 415, 118, 11, 3], [3, 11, 119, 405, 570, 1758, 966, 1626, 735, 295, 163, 1, 4], [3, 12, 107, 470, 360, 2208, 294, 2340, 195, 580, 63, 22, 2], [3, 12, 108, 460, 405, 2088, 504, 2088, 405, 460, 108, 12, 3], [3, 12, 109, 450, 450, 1968, 714, 1836, 615, 340, 153, 2, 4], [3, 13, 97, 515, 240, 2418, 42, 2550, 75, 625, 53, 23, 2], [3, 13, 98, 505, 285, 2298, 252, 2298, 285, 505, 98, 13, 3], [3, 13, 99, 495, 330, 2178, 462, 2046, 495, 385, 143, 3, 4], [3, 14, 88, 550, 165, 2508, 0, 2508, 165, 550, 88, 14, 3], [3, 14, 89, 540, 210, 2388, 210, 2256, 375, 430, 133, 4, 4], [4, 0, 171, 270, 765, 1656, 798, 2052, 270, 600, 39, 30, 1], [4, 0, 172, 260, 810, 1536, 1008, 1800, 480, 480, 84, 20, 2], [4, 0, 173, 250, 855, 1416, 1218, 1548, 690, 360, 129, 10, 3], [4, 0, 174, 240, 900, 1296, 1428, 1296, 900, 240, 174, 0, 4], [4, 1, 161, 315, 645, 1866, 546, 2262, 150, 645, 29, 31, 1], [4, 1, 162, 305, 690, 1746, 756, 2010, 360, 525, 74, 21, 2], [4, 1, 163, 295, 735, 1626, 966, 1758, 570, 405, 119, 11, 3], [4, 1, 164, 285, 780, 1506, 1176, 1506, 780, 285, 164, 1, 4], [4, 2, 151, 360, 525, 2076, 294, 2472, 30, 690, 19, 32, 1], [4, 2, 152, 350, 570, 1956, 504, 2220, 240, 570, 64, 22, 2], [4, 2, 153, 340, 615, 1836, 714, 1968, 450, 450, 109, 12, 3], [4, 2, 154, 330, 660, 1716, 924, 1716, 660, 330, 154, 2, 4], [4, 3, 142, 395, 450, 2166, 252, 2430, 120, 615, 54, 23, 2], [4, 3, 143, 385, 495, 2046, 462, 2178, 330, 495, 99, 13, 3], [4, 3, 144, 375, 540, 1926, 672, 1926, 540, 375, 144, 3, 4], [4, 4, 132, 440, 330, 2376, 0, 2640, 0, 660, 44, 24, 2], [4, 4, 133, 430, 375, 2256, 210, 2388, 210, 540, 89, 14, 3], [4, 4, 134, 420, 420, 2136, 420, 2136, 420, 420, 134, 4, 4], [4, 5, 124, 465, 300, 2346, 168, 2346, 300, 465, 124, 5, 4]} (13, 6656, 9) has 681 possible DDs: {[0, 10, 105, 25, 1070, 432, 1686, 1686, 432, 1070, 25, 105, 10, 0], [0, 10, 106, 15, 1115, 312, 1896, 1434, 642, 950, 70, 95, 11, 0], [0, 10, 107, 5, 1160, 192, 2106, 1182, 852, 830, 115, 85, 12, 0], [0, 11, 95, 70, 950, 642, 1434, 1896, 312, 1115, 15, 106, 10, 0], [0, 11, 96, 60, 995, 522, 1644, 1644, 522, 995, 60, 96, 11, 0], [0, 11, 97, 50, 1040, 402, 1854, 1392, 732, 875, 105, 86, 12, 0], [0, 11, 98, 40, 1085, 282, 2064, 1140, 942, 755, 150, 76, 13, 0], [0, 11, 98, 41, 1075, 327, 1944, 1350, 690, 965, 30, 121, 3, 1], [0, 11, 99, 30, 1130, 162, 2274, 888, 1152, 635, 195, 66, 14, 0], [0, 11, 99, 31, 1120, 207, 2154, 1098, 900, 845, 75, 111, 4, 1], [0, 11, 100, 20, 1175, 42, 2484, 636, 1362, 515, 240, 56, 15, 0], [0, 11, 100, 21, 1165, 87, 2364, 846, 1110, 725, 120, 101, 5, 1], [0, 12, 85, 115, 830, 852, 1182, 2106, 192, 1160, 5, 107, 10, 0], [0, 12, 86, 105, 875, 732, 1392, 1854, 402, 1040, 50, 97, 11, 0], [0, 12, 87, 95, 920, 612, 1602, 1602, 612, 920, 95, 87, 12, 0], [0, 12, 88, 85, 965, 492, 1812, 1350, 822, 800, 140, 77, 13, 0], [0, 12, 88, 86, 955, 537, 1692, 1560, 570, 1010, 20, 122, 3, 1], [0, 12, 89, 75, 1010, 372, 2022, 1098, 1032, 680, 185, 67, 14, 0], [0, 12, 89, 76, 1000, 417, 1902, 1308, 780, 890, 65, 112, 4, 1], [0, 12, 90, 65, 1055, 252, 2232, 846, 1242, 560, 230, 57, 15, 0], [0, 12, 90, 66, 1045, 297, 2112, 1056, 990, 770, 110, 102, 5, 1], [0, 12, 91, 55, 1100, 132, 2442, 594, 1452, 440, 275, 47, 16, 0], [0, 12, 91, 56, 1090, 177, 2322, 804, 1200, 650, 155, 92, 6, 1], [0, 12, 92, 45, 1145, 12, 2652, 342, 1662, 320, 320, 37, 17, 0], [0, 12, 92, 46, 1135, 57, 2532, 552, 1410, 530, 200, 82, 7, 1], [0, 13, 76, 150, 755, 942, 1140, 2064, 282, 1085, 40, 98, 11, 0], [0, 13, 77, 140, 800, 822, 1350, 1812, 492, 965, 85, 88, 12, 0], [0, 13, 78, 130, 845, 702, 1560, 1560, 702, 845, 130, 78, 13, 0], [0, 13, 78, 131, 835, 747, 1440, 1770, 450, 1055, 10, 123, 3, 1], [0, 13, 79, 120, 890, 582, 1770, 1308, 912, 725, 175, 68, 14, 0], [0, 13, 79, 121, 880, 627, 1650, 1518, 660, 935, 55, 113, 4, 1], [0, 13, 80, 110, 935, 462, 1980, 1056, 1122, 605, 220, 58, 15, 0], [0, 13, 80, 111, 925, 507, 1860, 1266, 870, 815, 100, 103, 5, 1], [0, 13, 81, 100, 980, 342, 2190, 804, 1332, 485, 265, 48, 16, 0], [0, 13, 81, 101, 970, 387, 2070, 1014, 1080, 695, 145, 93, 6, 1], [0, 13, 82, 90, 1025, 222, 2400, 552, 1542, 365, 310, 38, 17, 0], [0, 13, 82, 91, 1015, 267, 2280, 762, 1290, 575, 190, 83, 7, 1], [0, 13, 83, 80, 1070, 102, 2610, 300, 1752, 245, 355, 28, 18, 0], [0, 13, 83, 81, 1060, 147, 2490, 510, 1500, 455, 235, 73, 8, 1], [0, 13, 84, 71, 1105, 27, 2700, 258, 1710, 335, 280, 63, 9, 1], [0, 14, 66, 195, 635, 1152, 888, 2274, 162, 1130, 30, 99, 11, 0], [0, 14, 67, 185, 680, 1032, 1098, 2022, 372, 1010, 75, 89, 12, 0], [0, 14, 68, 175, 725, 912, 1308, 1770, 582, 890, 120, 79, 13, 0], [0, 14, 68, 176, 715, 957, 1188, 1980, 330, 1100, 0, 124, 3, 1], [0, 14, 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2748, 174, 1758, 350, 240, 89, 1, 2], [0, 15, 56, 240, 515, 1362, 636, 2484, 42, 1175, 20, 100, 11, 0], [0, 15, 57, 230, 560, 1242, 846, 2232, 252, 1055, 65, 90, 12, 0], [0, 15, 58, 220, 605, 1122, 1056, 1980, 462, 935, 110, 80, 13, 0], [0, 15, 59, 210, 650, 1002, 1266, 1728, 672, 815, 155, 70, 14, 0], [0, 15, 59, 211, 640, 1047, 1146, 1938, 420, 1025, 35, 115, 4, 1], [0, 15, 60, 200, 695, 882, 1476, 1476, 882, 695, 200, 60, 15, 0], [0, 15, 60, 201, 685, 927, 1356, 1686, 630, 905, 80, 105, 5, 1], [0, 15, 61, 190, 740, 762, 1686, 1224, 1092, 575, 245, 50, 16, 0], [0, 15, 61, 191, 730, 807, 1566, 1434, 840, 785, 125, 95, 6, 1], [0, 15, 62, 180, 785, 642, 1896, 972, 1302, 455, 290, 40, 17, 0], [0, 15, 62, 181, 775, 687, 1776, 1182, 1050, 665, 170, 85, 7, 1], [0, 15, 63, 170, 830, 522, 2106, 720, 1512, 335, 335, 30, 18, 0], [0, 15, 63, 171, 820, 567, 1986, 930, 1260, 545, 215, 75, 8, 1], [0, 15, 64, 160, 875, 402, 2316, 468, 1722, 215, 380, 20, 19, 0], [0, 15, 64, 161, 865, 447, 2196, 678, 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280, 41, 17, 0], [0, 16, 52, 226, 655, 897, 1524, 1392, 930, 710, 160, 86, 7, 1], [0, 16, 53, 215, 710, 732, 1854, 930, 1392, 380, 325, 31, 18, 0], [0, 16, 53, 216, 700, 777, 1734, 1140, 1140, 590, 205, 76, 8, 1], [0, 16, 54, 205, 755, 612, 2064, 678, 1602, 260, 370, 21, 19, 0], [0, 16, 54, 206, 745, 657, 1944, 888, 1350, 470, 250, 66, 9, 1], [0, 16, 55, 195, 800, 492, 2274, 426, 1812, 140, 415, 11, 20, 0], [0, 16, 55, 196, 790, 537, 2154, 636, 1560, 350, 295, 56, 10, 1], [0, 16, 55, 197, 780, 582, 2034, 846, 1308, 560, 175, 101, 0, 2], [0, 16, 56, 185, 845, 372, 2484, 174, 2022, 20, 460, 1, 21, 0], [0, 16, 56, 186, 835, 417, 2364, 384, 1770, 230, 340, 46, 11, 1], [0, 16, 56, 187, 825, 462, 2244, 594, 1518, 440, 220, 91, 1, 2], [0, 16, 57, 176, 880, 297, 2574, 132, 1980, 110, 385, 36, 12, 1], [0, 16, 57, 177, 870, 342, 2454, 342, 1728, 320, 265, 81, 2, 2], [0, 16, 58, 167, 915, 222, 2664, 90, 1938, 200, 310, 71, 3, 2], [0, 17, 37, 320, 320, 1662, 342, 2652, 12, 1145, 45, 92, 12, 0], [0, 17, 38, 310, 365, 1542, 552, 2400, 222, 1025, 90, 82, 13, 0], [0, 17, 39, 300, 410, 1422, 762, 2148, 432, 905, 135, 72, 14, 0], [0, 17, 39, 301, 400, 1467, 642, 2358, 180, 1115, 15, 117, 4, 1], [0, 17, 40, 290, 455, 1302, 972, 1896, 642, 785, 180, 62, 15, 0], [0, 17, 40, 291, 445, 1347, 852, 2106, 390, 995, 60, 107, 5, 1], [0, 17, 41, 280, 500, 1182, 1182, 1644, 852, 665, 225, 52, 16, 0], [0, 17, 41, 281, 490, 1227, 1062, 1854, 600, 875, 105, 97, 6, 1], [0, 17, 42, 270, 545, 1062, 1392, 1392, 1062, 545, 270, 42, 17, 0], [0, 17, 42, 271, 535, 1107, 1272, 1602, 810, 755, 150, 87, 7, 1], [0, 17, 43, 260, 590, 942, 1602, 1140, 1272, 425, 315, 32, 18, 0], [0, 17, 43, 261, 580, 987, 1482, 1350, 1020, 635, 195, 77, 8, 1], [0, 17, 44, 250, 635, 822, 1812, 888, 1482, 305, 360, 22, 19, 0], [0, 17, 44, 251, 625, 867, 1692, 1098, 1230, 515, 240, 67, 9, 1], [0, 17, 45, 240, 680, 702, 2022, 636, 1692, 185, 405, 12, 20, 0], [0, 17, 45, 241, 670, 747, 1902, 846, 1440, 395, 285, 57, 10, 1], [0, 17, 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1566, 774, 1830, 15, 477, 5, 16, 1], [2, 5, 61, 302, 390, 1248, 1446, 984, 1578, 225, 357, 50, 6, 2], [2, 5, 62, 292, 435, 1128, 1656, 732, 1788, 105, 402, 40, 7, 2], [2, 6, 45, 405, 20, 2088, 174, 2286, 702, 570, 317, 21, 20, 0], [2, 6, 45, 406, 10, 2133, 54, 2496, 450, 780, 197, 66, 10, 1], [2, 6, 46, 395, 65, 1968, 384, 2034, 912, 450, 362, 11, 21, 0], [2, 6, 46, 396, 55, 2013, 264, 2244, 660, 660, 242, 56, 11, 1], [2, 6, 46, 397, 45, 2058, 144, 2454, 408, 870, 122, 101, 1, 2], [2, 6, 47, 385, 110, 1848, 594, 1782, 1122, 330, 407, 1, 22, 0], [2, 6, 47, 386, 100, 1893, 474, 1992, 870, 540, 287, 46, 12, 1], [2, 6, 47, 387, 90, 1938, 354, 2202, 618, 750, 167, 91, 2, 2], [2, 6, 48, 376, 145, 1773, 684, 1740, 1080, 420, 332, 36, 13, 1], [2, 6, 48, 377, 135, 1818, 564, 1950, 828, 630, 212, 81, 3, 2], [2, 6, 49, 366, 190, 1653, 894, 1488, 1290, 300, 377, 26, 14, 1], [2, 6, 49, 367, 180, 1698, 774, 1698, 1038, 510, 257, 71, 4, 2], [2, 6, 50, 356, 235, 1533, 1104, 1236, 1500, 180, 422, 16, 15, 1], [2, 6, 50, 357, 225, 1578, 984, 1446, 1248, 390, 302, 61, 5, 2], [2, 6, 51, 346, 280, 1413, 1314, 984, 1710, 60, 467, 6, 16, 1], [2, 6, 51, 347, 270, 1458, 1194, 1194, 1458, 270, 347, 51, 6, 2], [2, 6, 52, 337, 315, 1338, 1404, 942, 1668, 150, 392, 41, 7, 2], [2, 6, 53, 327, 360, 1218, 1614, 690, 1878, 30, 437, 31, 8, 2], [2, 6, 55, 308, 440, 1023, 1914, 396, 2046, 0, 407, 56, 0, 3], [2, 7, 38, 421, 25, 1983, 432, 1950, 960, 465, 322, 37, 13, 1], [2, 7, 38, 422, 15, 2028, 312, 2160, 708, 675, 202, 82, 3, 2], [2, 7, 39, 411, 70, 1863, 642, 1698, 1170, 345, 367, 27, 14, 1], [2, 7, 39, 412, 60, 1908, 522, 1908, 918, 555, 247, 72, 4, 2], [2, 7, 40, 401, 115, 1743, 852, 1446, 1380, 225, 412, 17, 15, 1], [2, 7, 40, 402, 105, 1788, 732, 1656, 1128, 435, 292, 62, 5, 2], [2, 7, 41, 391, 160, 1623, 1062, 1194, 1590, 105, 457, 7, 16, 1], [2, 7, 41, 392, 150, 1668, 942, 1404, 1338, 315, 337, 52, 6, 2], [2, 7, 42, 382, 195, 1548, 1152, 1152, 1548, 195, 382, 42, 7, 2], [2, 7, 43, 372, 240, 1428, 1362, 900, 1758, 75, 427, 32, 8, 2], [2, 7, 45, 353, 320, 1233, 1662, 606, 1926, 45, 397, 57, 0, 3], [2, 8, 31, 436, 40, 1833, 810, 1404, 1470, 150, 447, 8, 16, 1], [2, 8, 31, 437, 30, 1878, 690, 1614, 1218, 360, 327, 53, 6, 2], [2, 8, 32, 427, 75, 1758, 900, 1362, 1428, 240, 372, 43, 7, 2], [2, 8, 33, 417, 120, 1638, 1110, 1110, 1638, 120, 417, 33, 8, 2], [2, 8, 34, 407, 165, 1518, 1320, 858, 1848, 0, 462, 23, 9, 2], [2, 8, 35, 398, 200, 1443, 1410, 816, 1806, 90, 387, 58, 0, 3], [2, 9, 23, 462, 0, 1848, 858, 1320, 1518, 165, 407, 34, 8, 2], [2, 9, 24, 452, 45, 1728, 1068, 1068, 1728, 45, 452, 24, 9, 2], [2, 9, 25, 443, 80, 1653, 1158, 1026, 1686, 135, 377, 59, 0, 3], [2, 9, 26, 433, 125, 1533, 1368, 774, 1896, 15, 422, 49, 1, 3], [2, 10, 16, 478, 5, 1743, 1116, 984, 1776, 60, 412, 50, 1, 3], [3, 0, 56, 406, 10, 2001, 516, 1704, 1275, 230, 428, 10, 16, 1], [3, 0, 56, 407, 0, 2046, 396, 1914, 1023, 440, 308, 55, 6, 2], [3, 0, 57, 396, 55, 1881, 726, 1452, 1485, 110, 473, 0, 17, 1], [3, 0, 57, 397, 45, 1926, 606, 1662, 1233, 320, 353, 45, 7, 2], [3, 0, 58, 387, 90, 1806, 816, 1410, 1443, 200, 398, 35, 8, 2], [3, 0, 59, 377, 135, 1686, 1026, 1158, 1653, 80, 443, 25, 9, 2], [3, 0, 60, 368, 170, 1611, 1116, 1116, 1611, 170, 368, 60, 0, 3], [3, 0, 61, 358, 215, 1491, 1326, 864, 1821, 50, 413, 50, 1, 3], [3, 1, 49, 422, 15, 1896, 774, 1368, 1533, 125, 433, 26, 9, 2], [3, 1, 50, 412, 60, 1776, 984, 1116, 1743, 5, 478, 16, 10, 2], [3, 1, 50, 413, 50, 1821, 864, 1326, 1491, 215, 358, 61, 0, 3], [3, 1, 51, 403, 95, 1701, 1074, 1074, 1701, 95, 403, 51, 1, 3], [3, 2, 42, 438, 20, 1791, 1032, 1032, 1791, 20, 438, 42, 2, 3]} (14, 6656, 9) has 2180 possible DDs: {[0, 2, 78, 22, 510, 1126, 180, 2820, 180, 1126, 510, 22, 78, 2, 0], [0, 2, 79, 12, 555, 1006, 390, 2568, 390, 1006, 555, 12, 79, 2, 0], [0, 2, 79, 13, 545, 1051, 270, 2778, 138, 1216, 435, 57, 69, 3, 0], [0, 2, 80, 2, 600, 886, 600, 2316, 600, 886, 600, 2, 80, 2, 0], [0, 2, 80, 3, 590, 931, 480, 2526, 348, 1096, 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826, 595, 19, 73, 3, 0], [0, 4, 63, 64, 475, 1036, 486, 2400, 486, 1036, 475, 64, 63, 4, 0], [0, 4, 63, 65, 465, 1081, 366, 2610, 234, 1246, 355, 109, 53, 5, 0], [0, 4, 64, 53, 530, 871, 816, 1938, 948, 706, 640, 9, 74, 3, 0], [0, 4, 64, 54, 520, 916, 696, 2148, 696, 916, 520, 54, 64, 4, 0], [0, 4, 64, 55, 510, 961, 576, 2358, 444, 1126, 400, 99, 54, 5, 0], [0, 4, 64, 56, 500, 1006, 456, 2568, 192, 1336, 280, 144, 44, 6, 0], [0, 4, 65, 44, 565, 796, 906, 1896, 906, 796, 565, 44, 65, 4, 0], [0, 4, 65, 45, 555, 841, 786, 2106, 654, 1006, 445, 89, 55, 5, 0], [0, 4, 65, 46, 545, 886, 666, 2316, 402, 1216, 325, 134, 45, 6, 0], [0, 4, 65, 47, 535, 931, 546, 2526, 150, 1426, 205, 179, 35, 7, 0], [0, 4, 66, 34, 610, 676, 1116, 1644, 1116, 676, 610, 34, 66, 4, 0], [0, 4, 66, 35, 600, 721, 996, 1854, 864, 886, 490, 79, 56, 5, 0], [0, 4, 66, 36, 590, 766, 876, 2064, 612, 1096, 370, 124, 46, 6, 0], [0, 4, 66, 37, 580, 811, 756, 2274, 360, 1306, 250, 169, 36, 7, 0], [0, 4, 66, 38, 570, 856, 636, 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