-------
(14, 5120, 9) ALL distance distributions for INTERNAL point
(9, 5120, 9) has 1 possible DDs: {[10, 90, 360, 840, 1260, 1260, 840, 360, 90, 10]}
(10, 5120, 9) has 10 possible DDs: {[1, 90, 45, 1080, 210, 2268, 210, 1080, 45, 90, 1], [2, 80, 90, 960, 420, 2016, 420, 960, 90, 80, 2], [3, 70, 135, 840, 630, 1764, 630, 840, 135, 70, 3], [4, 60, 180, 720, 840, 1512, 840, 720, 180, 60, 4], [5, 50, 225, 600, 1050, 1260, 1050, 600, 225, 50, 5], [6, 40, 270, 480, 1260, 1008, 1260, 480, 270, 40, 6], [7, 30, 315, 360, 1470, 756, 1470, 360, 315, 30, 7], [8, 20, 360, 240, 1680, 504, 1680, 240, 360, 20, 8], [9, 10, 405, 120, 1890, 252, 1890, 120, 405, 10, 9], [10, 0, 450, 0, 2100, 0, 2100, 0, 450, 0, 10]}
(11, 5120, 9) has 30 possible DDs: {[1, 40, 95, 480, 810, 1008, 1470, 480, 645, 40, 51, 0], [1, 41, 85, 525, 690, 1218, 1218, 690, 525, 85, 41, 1], [1, 42, 75, 570, 570, 1428, 966, 900, 405, 130, 31, 2], [1, 43, 65, 615, 450, 1638, 714, 1110, 285, 175, 21, 3], [1, 44, 55, 660, 330, 1848, 462, 1320, 165, 220, 11, 4], [1, 45, 45, 705, 210, 2058, 210, 1530, 45, 265, 1, 5], [2, 30, 140, 360, 1020, 756, 1680, 360, 690, 30, 52, 0], [2, 31, 130, 405, 900, 966, 1428, 570, 570, 75, 42, 1], [2, 32, 120, 450, 780, 1176, 1176, 780, 450, 120, 32, 2], [2, 33, 110, 495, 660, 1386, 924, 990, 330, 165, 22, 3], [2, 34, 100, 540, 540, 1596, 672, 1200, 210, 210, 12, 4], [2, 35, 90, 585, 420, 1806, 420, 1410, 90, 255, 2, 5], [3, 20, 185, 240, 1230, 504, 1890, 240, 735, 20, 53, 0], [3, 21, 175, 285, 1110, 714, 1638, 450, 615, 65, 43, 1], [3, 22, 165, 330, 990, 924, 1386, 660, 495, 110, 33, 2], [3, 23, 155, 375, 870, 1134, 1134, 870, 375, 155, 23, 3], [3, 24, 145, 420, 750, 1344, 882, 1080, 255, 200, 13, 4], [3, 25, 135, 465, 630, 1554, 630, 1290, 135, 245, 3, 5], [4, 10, 230, 120, 1440, 252, 2100, 120, 780, 10, 54, 0], [4, 11, 220, 165, 1320, 462, 1848, 330, 660, 55, 44, 1], [4, 12, 210, 210, 1200, 672, 1596, 540, 540, 100, 34, 2], [4, 13, 200, 255, 1080, 882, 1344, 750, 420, 145, 24, 3], [4, 14, 190, 300, 960, 1092, 1092, 960, 300, 190, 14, 4], [4, 15, 180, 345, 840, 1302, 840, 1170, 180, 235, 4, 5], [5, 0, 275, 0, 1650, 0, 2310, 0, 825, 0, 55, 0], [5, 1, 265, 45, 1530, 210, 2058, 210, 705, 45, 45, 1], [5, 2, 255, 90, 1410, 420, 1806, 420, 585, 90, 35, 2], [5, 3, 245, 135, 1290, 630, 1554, 630, 465, 135, 25, 3], [5, 4, 235, 180, 1170, 840, 1302, 840, 345, 180, 15, 4], [5, 5, 225, 225, 1050, 1050, 1050, 1050, 225, 225, 5, 5]}
(12, 5120, 9) has 75 possible DDs: {[1, 12, 125, 70, 1170, 48, 2226, 180, 1005, 180, 81, 22, 0], [1, 13, 115, 115, 1050, 258, 1974, 390, 885, 225, 71, 23, 0], [1, 13, 116, 105, 1095, 138, 2184, 138, 1095, 105, 116, 13, 1], [1, 14, 105, 160, 930, 468, 1722, 600, 765, 270, 61, 24, 0], [1, 14, 106, 150, 975, 348, 1932, 348, 975, 150, 106, 14, 1], [1, 14, 107, 140, 1020, 228, 2142, 96, 1185, 30, 151, 4, 2], [1, 15, 95, 205, 810, 678, 1470, 810, 645, 315, 51, 25, 0], [1, 15, 96, 195, 855, 558, 1680, 558, 855, 195, 96, 15, 1], [1, 15, 97, 185, 900, 438, 1890, 306, 1065, 75, 141, 5, 2], [1, 16, 85, 250, 690, 888, 1218, 1020, 525, 360, 41, 26, 0], [1, 16, 86, 240, 735, 768, 1428, 768, 735, 240, 86, 16, 1], [1, 16, 87, 230, 780, 648, 1638, 516, 945, 120, 131, 6, 2], [1, 17, 75, 295, 570, 1098, 966, 1230, 405, 405, 31, 27, 0], [1, 17, 76, 285, 615, 978, 1176, 978, 615, 285, 76, 17, 1], [1, 17, 77, 275, 660, 858, 1386, 726, 825, 165, 121, 7, 2], [1, 18, 65, 340, 450, 1308, 714, 1440, 285, 450, 21, 28, 0], [1, 18, 66, 330, 495, 1188, 924, 1188, 495, 330, 66, 18, 1], [1, 18, 67, 320, 540, 1068, 1134, 936, 705, 210, 111, 8, 2], [1, 19, 55, 385, 330, 1518, 462, 1650, 165, 495, 11, 29, 0], [1, 19, 56, 375, 375, 1398, 672, 1398, 375, 375, 56, 19, 1], [1, 19, 57, 365, 420, 1278, 882, 1146, 585, 255, 101, 9, 2], [1, 20, 45, 430, 210, 1728, 210, 1860, 45, 540, 1, 30, 0], [1, 20, 46, 420, 255, 1608, 420, 1608, 255, 420, 46, 20, 1], [1, 20, 47, 410, 300, 1488, 630, 1356, 465, 300, 91, 10, 2], [1, 20, 48, 400, 345, 1368, 840, 1104, 675, 180, 136, 0, 3], [1, 21, 36, 465, 135, 1818, 168, 1818, 135, 465, 36, 21, 1], [1, 21, 37, 455, 180, 1698, 378, 1566, 345, 345, 81, 11, 2], [1, 21, 38, 445, 225, 1578, 588, 1314, 555, 225, 126, 1, 3], [1, 22, 27, 500, 60, 1908, 126, 1776, 225, 390, 71, 12, 2], [1, 22, 28, 490, 105, 1788, 336, 1524, 435, 270, 116, 2, 3], [2, 4, 150, 40, 1140, 216, 1932, 480, 810, 260, 62, 24, 0], [2, 4, 151, 30, 1185, 96, 2142, 228, 1020, 140, 107, 14, 1], [2, 5, 140, 85, 1020, 426, 1680, 690, 690, 305, 52, 25, 0], [2, 5, 141, 75, 1065, 306, 1890, 438, 900, 185, 97, 15, 1], [2, 5, 142, 65, 1110, 186, 2100, 186, 1110, 65, 142, 5, 2], [2, 6, 130, 130, 900, 636, 1428, 900, 570, 350, 42, 26, 0], [2, 6, 131, 120, 945, 516, 1638, 648, 780, 230, 87, 16, 1], [2, 6, 132, 110, 990, 396, 1848, 396, 990, 110, 132, 6, 2], [2, 7, 120, 175, 780, 846, 1176, 1110, 450, 395, 32, 27, 0], [2, 7, 121, 165, 825, 726, 1386, 858, 660, 275, 77, 17, 1], [2, 7, 122, 155, 870, 606, 1596, 606, 870, 155, 122, 7, 2], [2, 8, 110, 220, 660, 1056, 924, 1320, 330, 440, 22, 28, 0], [2, 8, 111, 210, 705, 936, 1134, 1068, 540, 320, 67, 18, 1], [2, 8, 112, 200, 750, 816, 1344, 816, 750, 200, 112, 8, 2], [2, 9, 100, 265, 540, 1266, 672, 1530, 210, 485, 12, 29, 0], [2, 9, 101, 255, 585, 1146, 882, 1278, 420, 365, 57, 19, 1], [2, 9, 102, 245, 630, 1026, 1092, 1026, 630, 245, 102, 9, 2], [2, 10, 90, 310, 420, 1476, 420, 1740, 90, 530, 2, 30, 0], [2, 10, 91, 300, 465, 1356, 630, 1488, 300, 410, 47, 20, 1], [2, 10, 92, 290, 510, 1236, 840, 1236, 510, 290, 92, 10, 2], [2, 10, 93, 280, 555, 1116, 1050, 984, 720, 170, 137, 0, 3], [2, 11, 81, 345, 345, 1566, 378, 1698, 180, 455, 37, 21, 1], [2, 11, 82, 335, 390, 1446, 588, 1446, 390, 335, 82, 11, 2], [2, 11, 83, 325, 435, 1326, 798, 1194, 600, 215, 127, 1, 3], [2, 12, 71, 390, 225, 1776, 126, 1908, 60, 500, 27, 22, 1], [2, 12, 72, 380, 270, 1656, 336, 1656, 270, 380, 72, 12, 2], [2, 12, 73, 370, 315, 1536, 546, 1404, 480, 260, 117, 2, 3], [2, 13, 62, 425, 150, 1866, 84, 1866, 150, 425, 62, 13, 2], [2, 13, 63, 415, 195, 1746, 294, 1614, 360, 305, 107, 3, 3], [2, 14, 53, 460, 75, 1956, 42, 1824, 240, 350, 97, 4, 3], [3, 0, 135, 190, 630, 1224, 630, 1620, 135, 520, 3, 30, 0], [3, 0, 136, 180, 675, 1104, 840, 1368, 345, 400, 48, 20, 1], [3, 0, 137, 170, 720, 984, 1050, 1116, 555, 280, 93, 10, 2], [3, 0, 138, 160, 765, 864, 1260, 864, 765, 160, 138, 0, 3], [3, 1, 126, 225, 555, 1314, 588, 1578, 225, 445, 38, 21, 1], [3, 1, 127, 215, 600, 1194, 798, 1326, 435, 325, 83, 11, 2], [3, 1, 128, 205, 645, 1074, 1008, 1074, 645, 205, 128, 1, 3], [3, 2, 116, 270, 435, 1524, 336, 1788, 105, 490, 28, 22, 1], [3, 2, 117, 260, 480, 1404, 546, 1536, 315, 370, 73, 12, 2], [3, 2, 118, 250, 525, 1284, 756, 1284, 525, 250, 118, 2, 3], [3, 3, 107, 305, 360, 1614, 294, 1746, 195, 415, 63, 13, 2], [3, 3, 108, 295, 405, 1494, 504, 1494, 405, 295, 108, 3, 3], [3, 4, 97, 350, 240, 1824, 42, 1956, 75, 460, 53, 14, 2], [3, 4, 98, 340, 285, 1704, 252, 1704, 285, 340, 98, 4, 3], [3, 5, 88, 385, 165, 1914, 0, 1914, 165, 385, 88, 5, 3]}
(13, 5120, 9) has 156 possible DDs: {[1, 0, 103, 0, 770, 528, 990, 1584, 165, 880, 11, 80, 8, 0], [1, 1, 93, 45, 650, 738, 738, 1794, 45, 925, 1, 81, 8, 0], [1, 1, 94, 35, 695, 618, 948, 1542, 255, 805, 46, 71, 9, 0], [1, 1, 95, 25, 740, 498, 1158, 1290, 465, 685, 91, 61, 10, 0], [1, 1, 96, 15, 785, 378, 1368, 1038, 675, 565, 136, 51, 11, 0], [1, 1, 96, 16, 775, 423, 1248, 1248, 423, 775, 16, 96, 1, 1], [1, 1, 97, 5, 830, 258, 1578, 786, 885, 445, 181, 41, 12, 0], [1, 1, 97, 6, 820, 303, 1458, 996, 633, 655, 61, 86, 2, 1], [1, 2, 84, 80, 575, 828, 696, 1752, 135, 850, 36, 72, 9, 0], [1, 2, 85, 70, 620, 708, 906, 1500, 345, 730, 81, 62, 10, 0], [1, 2, 86, 60, 665, 588, 1116, 1248, 555, 610, 126, 52, 11, 0], [1, 2, 86, 61, 655, 633, 996, 1458, 303, 820, 6, 97, 1, 1], [1, 2, 87, 50, 710, 468, 1326, 996, 765, 490, 171, 42, 12, 0], [1, 2, 87, 51, 700, 513, 1206, 1206, 513, 700, 51, 87, 2, 1], [1, 2, 88, 40, 755, 348, 1536, 744, 975, 370, 216, 32, 13, 0], [1, 2, 88, 41, 745, 393, 1416, 954, 723, 580, 96, 77, 3, 1], [1, 2, 89, 30, 800, 228, 1746, 492, 1185, 250, 261, 22, 14, 0], [1, 2, 89, 31, 790, 273, 1626, 702, 933, 460, 141, 67, 4, 1], [1, 2, 90, 20, 845, 108, 1956, 240, 1395, 130, 306, 12, 15, 0], [1, 2, 90, 21, 835, 153, 1836, 450, 1143, 340, 186, 57, 5, 1], [1, 2, 91, 11, 880, 33, 2046, 198, 1353, 220, 231, 47, 6, 1], [1, 3, 74, 125, 455, 1038, 444, 1962, 15, 895, 26, 73, 9, 0], [1, 3, 75, 115, 500, 918, 654, 1710, 225, 775, 71, 63, 10, 0], [1, 3, 76, 105, 545, 798, 864, 1458, 435, 655, 116, 53, 11, 0], [1, 3, 77, 95, 590, 678, 1074, 1206, 645, 535, 161, 43, 12, 0], [1, 3, 77, 96, 580, 723, 954, 1416, 393, 745, 41, 88, 2, 1], [1, 3, 78, 85, 635, 558, 1284, 954, 855, 415, 206, 33, 13, 0], [1, 3, 78, 86, 625, 603, 1164, 1164, 603, 625, 86, 78, 3, 1], [1, 3, 79, 75, 680, 438, 1494, 702, 1065, 295, 251, 23, 14, 0], [1, 3, 79, 76, 670, 483, 1374, 912, 813, 505, 131, 68, 4, 1], [1, 3, 80, 65, 725, 318, 1704, 450, 1275, 175, 296, 13, 15, 0], [1, 3, 80, 66, 715, 363, 1584, 660, 1023, 385, 176, 58, 5, 1], [1, 3, 81, 55, 770, 198, 1914, 198, 1485, 55, 341, 3, 16, 0], [1, 3, 81, 56, 760, 243, 1794, 408, 1233, 265, 221, 48, 6, 1], [1, 3, 82, 46, 805, 123, 2004, 156, 1443, 145, 266, 38, 7, 1], [1, 4, 65, 160, 380, 1128, 402, 1920, 105, 820, 61, 64, 10, 0], [1, 4, 66, 150, 425, 1008, 612, 1668, 315, 700, 106, 54, 11, 0], [1, 4, 67, 140, 470, 888, 822, 1416, 525, 580, 151, 44, 12, 0], [1, 4, 67, 141, 460, 933, 702, 1626, 273, 790, 31, 89, 2, 1], [1, 4, 68, 130, 515, 768, 1032, 1164, 735, 460, 196, 34, 13, 0], [1, 4, 68, 131, 505, 813, 912, 1374, 483, 670, 76, 79, 3, 1], [1, 4, 69, 120, 560, 648, 1242, 912, 945, 340, 241, 24, 14, 0], [1, 4, 69, 121, 550, 693, 1122, 1122, 693, 550, 121, 69, 4, 1], [1, 4, 70, 110, 605, 528, 1452, 660, 1155, 220, 286, 14, 15, 0], [1, 4, 70, 111, 595, 573, 1332, 870, 903, 430, 166, 59, 5, 1], [1, 4, 71, 100, 650, 408, 1662, 408, 1365, 100, 331, 4, 16, 0], [1, 4, 71, 101, 640, 453, 1542, 618, 1113, 310, 211, 49, 6, 1], [1, 4, 72, 91, 685, 333, 1752, 366, 1323, 190, 256, 39, 7, 1], [1, 4, 73, 81, 730, 213, 1962, 114, 1533, 70, 301, 29, 8, 1], [1, 5, 56, 195, 305, 1218, 360, 1878, 195, 745, 96, 55, 11, 0], [1, 5, 57, 185, 350, 1098, 570, 1626, 405, 625, 141, 45, 12, 0], [1, 5, 57, 186, 340, 1143, 450, 1836, 153, 835, 21, 90, 2, 1], [1, 5, 58, 175, 395, 978, 780, 1374, 615, 505, 186, 35, 13, 0], [1, 5, 58, 176, 385, 1023, 660, 1584, 363, 715, 66, 80, 3, 1], [1, 5, 59, 165, 440, 858, 990, 1122, 825, 385, 231, 25, 14, 0], [1, 5, 59, 166, 430, 903, 870, 1332, 573, 595, 111, 70, 4, 1], [1, 5, 60, 155, 485, 738, 1200, 870, 1035, 265, 276, 15, 15, 0], [1, 5, 60, 156, 475, 783, 1080, 1080, 783, 475, 156, 60, 5, 1], [1, 5, 61, 145, 530, 618, 1410, 618, 1245, 145, 321, 5, 16, 0], [1, 5, 61, 146, 520, 663, 1290, 828, 993, 355, 201, 50, 6, 1], [1, 5, 62, 136, 565, 543, 1500, 576, 1203, 235, 246, 40, 7, 1], [1, 5, 63, 126, 610, 423, 1710, 324, 1413, 115, 291, 30, 8, 1], [1, 5, 65, 107, 690, 228, 2010, 30, 1581, 85, 261, 55, 0, 2], [1, 6, 46, 240, 185, 1428, 108, 2088, 75, 790, 86, 56, 11, 0], [1, 6, 47, 230, 230, 1308, 318, 1836, 285, 670, 131, 46, 12, 0], [1, 6, 47, 231, 220, 1353, 198, 2046, 33, 880, 11, 91, 2, 1], [1, 6, 48, 220, 275, 1188, 528, 1584, 495, 550, 176, 36, 13, 0], [1, 6, 48, 221, 265, 1233, 408, 1794, 243, 760, 56, 81, 3, 1], [1, 6, 49, 210, 320, 1068, 738, 1332, 705, 430, 221, 26, 14, 0], [1, 6, 49, 211, 310, 1113, 618, 1542, 453, 640, 101, 71, 4, 1], [1, 6, 50, 200, 365, 948, 948, 1080, 915, 310, 266, 16, 15, 0], [1, 6, 50, 201, 355, 993, 828, 1290, 663, 520, 146, 61, 5, 1], [1, 6, 51, 190, 410, 828, 1158, 828, 1125, 190, 311, 6, 16, 0], [1, 6, 51, 191, 400, 873, 1038, 1038, 873, 400, 191, 51, 6, 1], [1, 6, 52, 181, 445, 753, 1248, 786, 1083, 280, 236, 41, 7, 1], [1, 6, 53, 171, 490, 633, 1458, 534, 1293, 160, 281, 31, 8, 1], [1, 6, 54, 161, 535, 513, 1668, 282, 1503, 40, 326, 21, 9, 1], [1, 6, 55, 152, 570, 438, 1758, 240, 1461, 130, 251, 56, 0, 2], [1, 7, 37, 275, 110, 1518, 66, 2046, 165, 715, 121, 47, 12, 0], [1, 7, 38, 265, 155, 1398, 276, 1794, 375, 595, 166, 37, 13, 0], [1, 7, 38, 266, 145, 1443, 156, 2004, 123, 805, 46, 82, 3, 1], [1, 7, 39, 255, 200, 1278, 486, 1542, 585, 475, 211, 27, 14, 0], [1, 7, 39, 256, 190, 1323, 366, 1752, 333, 685, 91, 72, 4, 1], [1, 7, 40, 245, 245, 1158, 696, 1290, 795, 355, 256, 17, 15, 0], [1, 7, 40, 246, 235, 1203, 576, 1500, 543, 565, 136, 62, 5, 1], [1, 7, 41, 235, 290, 1038, 906, 1038, 1005, 235, 301, 7, 16, 0], [1, 7, 41, 236, 280, 1083, 786, 1248, 753, 445, 181, 52, 6, 1], [1, 7, 42, 226, 325, 963, 996, 996, 963, 325, 226, 42, 7, 1], [1, 7, 43, 216, 370, 843, 1206, 744, 1173, 205, 271, 32, 8, 1], [1, 7, 44, 206, 415, 723, 1416, 492, 1383, 85, 316, 22, 9, 1], [1, 7, 45, 197, 450, 648, 1506, 450, 1341, 175, 241, 57, 0, 2], [1, 7, 46, 187, 495, 528, 1716, 198, 1551, 55, 286, 47, 1, 2], [1, 8, 28, 310, 35, 1608, 24, 2004, 255, 640, 156, 38, 13, 0], [1, 8, 29, 300, 80, 1488, 234, 1752, 465, 520, 201, 28, 14, 0], [1, 8, 29, 301, 70, 1533, 114, 1962, 213, 730, 81, 73, 4, 1], [1, 8, 30, 290, 125, 1368, 444, 1500, 675, 400, 246, 18, 15, 0], [1, 8, 30, 291, 115, 1413, 324, 1710, 423, 610, 126, 63, 5, 1], [1, 8, 31, 280, 170, 1248, 654, 1248, 885, 280, 291, 8, 16, 0], [1, 8, 31, 281, 160, 1293, 534, 1458, 633, 490, 171, 53, 6, 1], [1, 8, 32, 271, 205, 1173, 744, 1206, 843, 370, 216, 43, 7, 1], [1, 8, 33, 261, 250, 1053, 954, 954, 1053, 250, 261, 33, 8, 1], [1, 8, 34, 251, 295, 933, 1164, 702, 1263, 130, 306, 23, 9, 1], [1, 8, 35, 241, 340, 813, 1374, 450, 1473, 10, 351, 13, 10, 1], [1, 8, 35, 242, 330, 858, 1254, 660, 1221, 220, 231, 58, 0, 2], [1, 8, 36, 232, 375, 738, 1464, 408, 1431, 100, 276, 48, 1, 2], [1, 9, 20, 335, 5, 1578, 192, 1710, 555, 445, 236, 19, 15, 0], [1, 9, 21, 325, 50, 1458, 402, 1458, 765, 325, 281, 9, 16, 0], [1, 9, 21, 326, 40, 1503, 282, 1668, 513, 535, 161, 54, 6, 1], [1, 9, 22, 316, 85, 1383, 492, 1416, 723, 415, 206, 44, 7, 1], [1, 9, 23, 306, 130, 1263, 702, 1164, 933, 295, 251, 34, 8, 1], [1, 9, 24, 296, 175, 1143, 912, 912, 1143, 175, 296, 24, 9, 1], [1, 9, 25, 286, 220, 1023, 1122, 660, 1353, 55, 341, 14, 10, 1], [1, 9, 25, 287, 210, 1068, 1002, 870, 1101, 265, 221, 59, 0, 2], [1, 9, 26, 277, 255, 948, 1212, 618, 1311, 145, 266, 49, 1, 2], [1, 9, 27, 267, 300, 828, 1422, 366, 1521, 25, 311, 39, 2, 2], [1, 10, 13, 351, 10, 1473, 450, 1374, 813, 340, 241, 35, 8, 1], [1, 10, 14, 341, 55, 1353, 660, 1122, 1023, 220, 286, 25, 9, 1], [1, 10, 15, 331, 100, 1233, 870, 870, 1233, 100, 331, 15, 10, 1], [1, 10, 15, 332, 90, 1278, 750, 1080, 981, 310, 211, 60, 0, 2], [1, 10, 16, 322, 135, 1158, 960, 828, 1191, 190, 256, 50, 1, 2], [1, 10, 17, 312, 180, 1038, 1170, 576, 1401, 70, 301, 40, 2, 2], [1, 11, 6, 366, 25, 1323, 828, 828, 1323, 25, 366, 6, 11, 1], [1, 11, 6, 367, 15, 1368, 708, 1038, 1071, 235, 246, 51, 1, 2], [1, 11, 7, 357, 60, 1248, 918, 786, 1281, 115, 291, 41, 2, 2], [2, 0, 55, 260, 95, 1536, 150, 1800, 480, 480, 227, 20, 15, 0], [2, 0, 55, 261, 85, 1581, 30, 2010, 228, 690, 107, 65, 5, 1], [2, 0, 56, 250, 140, 1416, 360, 1548, 690, 360, 272, 10, 16, 0], [2, 0, 56, 251, 130, 1461, 240, 1758, 438, 570, 152, 55, 6, 1], [2, 0, 57, 240, 185, 1296, 570, 1296, 900, 240, 317, 0, 17, 0], [2, 0, 57, 241, 175, 1341, 450, 1506, 648, 450, 197, 45, 7, 1], [2, 0, 58, 231, 220, 1221, 660, 1254, 858, 330, 242, 35, 8, 1], [2, 0, 59, 221, 265, 1101, 870, 1002, 1068, 210, 287, 25, 9, 1], [2, 0, 60, 211, 310, 981, 1080, 750, 1278, 90, 332, 15, 10, 1], [2, 0, 60, 212, 300, 1026, 960, 960, 1026, 300, 212, 60, 0, 2], [2, 0, 61, 202, 345, 906, 1170, 708, 1236, 180, 257, 50, 1, 2], [2, 0, 62, 192, 390, 786, 1380, 456, 1446, 60, 302, 40, 2, 2], [2, 1, 46, 295, 20, 1626, 108, 1758, 570, 405, 262, 11, 16, 0], [2, 1, 47, 285, 65, 1506, 318, 1506, 780, 285, 307, 1, 17, 0], [2, 1, 47, 286, 55, 1551, 198, 1716, 528, 495, 187, 46, 7, 1], [2, 1, 48, 276, 100, 1431, 408, 1464, 738, 375, 232, 36, 8, 1], [2, 1, 49, 266, 145, 1311, 618, 1212, 948, 255, 277, 26, 9, 1], [2, 1, 50, 256, 190, 1191, 828, 960, 1158, 135, 322, 16, 10, 1], [2, 1, 50, 257, 180, 1236, 708, 1170, 906, 345, 202, 61, 0, 2], [2, 1, 51, 246, 235, 1071, 1038, 708, 1368, 15, 367, 6, 11, 1], [2, 1, 51, 247, 225, 1116, 918, 918, 1116, 225, 247, 51, 1, 2], [2, 1, 52, 237, 270, 996, 1128, 666, 1326, 105, 292, 41, 2, 2], [2, 2, 39, 311, 25, 1521, 366, 1422, 828, 300, 267, 27, 9, 1], [2, 2, 40, 301, 70, 1401, 576, 1170, 1038, 180, 312, 17, 10, 1], [2, 2, 40, 302, 60, 1446, 456, 1380, 786, 390, 192, 62, 0, 2], [2, 2, 41, 291, 115, 1281, 786, 918, 1248, 60, 357, 7, 11, 1], [2, 2, 41, 292, 105, 1326, 666, 1128, 996, 270, 237, 52, 1, 2], [2, 2, 42, 282, 150, 1206, 876, 876, 1206, 150, 282, 42, 2, 2], [2, 2, 43, 272, 195, 1086, 1086, 624, 1416, 30, 327, 32, 3, 2], [2, 3, 32, 327, 30, 1416, 624, 1086, 1086, 195, 272, 43, 2, 2], [2, 3, 33, 317, 75, 1296, 834, 834, 1296, 75, 317, 33, 3, 2], [2, 4, 24, 352, 0, 1386, 792, 792, 1386, 0, 352, 24, 4, 2]}
(14, 5120, 9) has 277 possible DDs: {[1, 0, 31, 174, 40, 1228, 150, 1668, 777, 480, 491, 30, 46, 4, 0], [1, 0, 31, 175, 30, 1273, 30, 1878, 525, 690, 371, 75, 36, 5, 0], [1, 0, 32, 164, 85, 1108, 360, 1416, 987, 360, 536, 20, 47, 4, 0], [1, 0, 32, 165, 75, 1153, 240, 1626, 735, 570, 416, 65, 37, 5, 0], [1, 0, 32, 166, 65, 1198, 120, 1836, 483, 780, 296, 110, 27, 6, 0], [1, 0, 32, 167, 55, 1243, 0, 2046, 231, 990, 176, 155, 17, 7, 0], [1, 0, 33, 154, 130, 988, 570, 1164, 1197, 240, 581, 10, 48, 4, 0], [1, 0, 33, 155, 120, 1033, 450, 1374, 945, 450, 461, 55, 38, 5, 0], [1, 0, 33, 156, 110, 1078, 330, 1584, 693, 660, 341, 100, 28, 6, 0], [1, 0, 33, 157, 100, 1123, 210, 1794, 441, 870, 221, 145, 18, 7, 0], [1, 0, 33, 158, 90, 1168, 90, 2004, 189, 1080, 101, 190, 8, 8, 0], [1, 0, 34, 144, 175, 868, 780, 912, 1407, 120, 626, 0, 49, 4, 0], [1, 0, 34, 145, 165, 913, 660, 1122, 1155, 330, 506, 45, 39, 5, 0], [1, 0, 34, 146, 155, 958, 540, 1332, 903, 540, 386, 90, 29, 6, 0], [1, 0, 34, 147, 145, 1003, 420, 1542, 651, 750, 266, 135, 19, 7, 0], [1, 0, 34, 148, 135, 1048, 300, 1752, 399, 960, 146, 180, 9, 8, 0], [1, 0, 34, 150, 116, 1128, 105, 2052, 105, 1128, 116, 150, 34, 0, 1], [1, 0, 35, 135, 210, 793, 870, 870, 1365, 210, 551, 35, 40, 5, 0], [1, 0, 35, 136, 200, 838, 750, 1080, 1113, 420, 431, 80, 30, 6, 0], [1, 0, 35, 137, 190, 883, 630, 1290, 861, 630, 311, 125, 20, 7, 0], [1, 0, 35, 138, 180, 928, 510, 1500, 609, 840, 191, 170, 10, 8, 0], [1, 0, 35, 139, 170, 973, 390, 1710, 357, 1050, 71, 215, 0, 9, 0], [1, 0, 35, 140, 161, 1008, 315, 1800, 315, 1008, 161, 140, 35, 0, 1], [1, 0, 35, 141, 151, 1053, 195, 2010, 63, 1218, 41, 185, 25, 1, 1], [1, 0, 36, 125, 255, 673, 1080, 618, 1575, 90, 596, 25, 41, 5, 0], [1, 0, 36, 126, 245, 718, 960, 828, 1323, 300, 476, 70, 31, 6, 0], [1, 0, 36, 127, 235, 763, 840, 1038, 1071, 510, 356, 115, 21, 7, 0], [1, 0, 36, 128, 225, 808, 720, 1248, 819, 720, 236, 160, 11, 8, 0], [1, 0, 36, 129, 215, 853, 600, 1458, 567, 930, 116, 205, 1, 9, 0], [1, 0, 36, 130, 206, 888, 525, 1548, 525, 888, 206, 130, 36, 0, 1], [1, 0, 36, 131, 196, 933, 405, 1758, 273, 1098, 86, 175, 26, 1, 1], [1, 0, 37, 116, 290, 598, 1170, 576, 1533, 180, 521, 60, 32, 6, 0], [1, 0, 37, 117, 280, 643, 1050, 786, 1281, 390, 401, 105, 22, 7, 0], [1, 0, 37, 118, 270, 688, 930, 996, 1029, 600, 281, 150, 12, 8, 0], [1, 0, 37, 119, 260, 733, 810, 1206, 777, 810, 161, 195, 2, 9, 0], [1, 0, 37, 120, 251, 768, 735, 1296, 735, 768, 251, 120, 37, 0, 1], [1, 0, 37, 121, 241, 813, 615, 1506, 483, 978, 131, 165, 27, 1, 1], [1, 0, 37, 122, 231, 858, 495, 1716, 231, 1188, 11, 210, 17, 2, 1], [1, 0, 38, 106, 335, 478, 1380, 324, 1743, 60, 566, 50, 33, 6, 0], [1, 0, 38, 107, 325, 523, 1260, 534, 1491, 270, 446, 95, 23, 7, 0], [1, 0, 38, 108, 315, 568, 1140, 744, 1239, 480, 326, 140, 13, 8, 0], [1, 0, 38, 109, 305, 613, 1020, 954, 987, 690, 206, 185, 3, 9, 0], [1, 0, 38, 110, 296, 648, 945, 1044, 945, 648, 296, 110, 38, 0, 1], [1, 0, 38, 111, 286, 693, 825, 1254, 693, 858, 176, 155, 28, 1, 1], [1, 0, 38, 112, 276, 738, 705, 1464, 441, 1068, 56, 200, 18, 2, 1], [1, 0, 39, 97, 370, 403, 1470, 282, 1701, 150, 491, 85, 24, 7, 0], [1, 0, 39, 98, 360, 448, 1350, 492, 1449, 360, 371, 130, 14, 8, 0], [1, 0, 39, 99, 350, 493, 1230, 702, 1197, 570, 251, 175, 4, 9, 0], [1, 0, 39, 100, 341, 528, 1155, 792, 1155, 528, 341, 100, 39, 0, 1], [1, 0, 39, 101, 331, 573, 1035, 1002, 903, 738, 221, 145, 29, 1, 1], [1, 0, 39, 102, 321, 618, 915, 1212, 651, 948, 101, 190, 19, 2, 1], [1, 0, 40, 87, 415, 283, 1680, 30, 1911, 30, 536, 75, 25, 7, 0], [1, 0, 40, 88, 405, 328, 1560, 240, 1659, 240, 416, 120, 15, 8, 0], [1, 0, 40, 89, 395, 373, 1440, 450, 1407, 450, 296, 165, 5, 9, 0], [1, 0, 40, 90, 386, 408, 1365, 540, 1365, 408, 386, 90, 40, 0, 1], [1, 0, 40, 91, 376, 453, 1245, 750, 1113, 618, 266, 135, 30, 1, 1], [1, 0, 40, 92, 366, 498, 1125, 960, 861, 828, 146, 180, 20, 2, 1], [1, 0, 40, 93, 356, 543, 1005, 1170, 609, 1038, 26, 225, 10, 3, 1], [1, 0, 41, 79, 440, 253, 1650, 198, 1617, 330, 341, 155, 6, 9, 0], [1, 0, 41, 80, 431, 288, 1575, 288, 1575, 288, 431, 80, 41, 0, 1], [1, 0, 41, 81, 421, 333, 1455, 498, 1323, 498, 311, 125, 31, 1, 1], [1, 0, 41, 82, 411, 378, 1335, 708, 1071, 708, 191, 170, 21, 2, 1], [1, 0, 41, 83, 401, 423, 1215, 918, 819, 918, 71, 215, 11, 3, 1], [1, 0, 42, 70, 476, 168, 1785, 36, 1785, 168, 476, 70, 42, 0, 1], [1, 0, 42, 71, 466, 213, 1665, 246, 1533, 378, 356, 115, 32, 1, 1], [1, 0, 42, 72, 456, 258, 1545, 456, 1281, 588, 236, 160, 22, 2, 1], [1, 0, 42, 73, 446, 303, 1425, 666, 1029, 798, 116, 205, 12, 3, 1], [1, 0, 43, 62, 501, 138, 1755, 204, 1491, 468, 281, 150, 23, 2, 1], [1, 0, 43, 63, 491, 183, 1635, 414, 1239, 678, 161, 195, 13, 3, 1], [1, 0, 43, 64, 481, 228, 1515, 624, 987, 888, 41, 240, 3, 4, 1], [1, 0, 44, 53, 536, 63, 1845, 162, 1449, 558, 206, 185, 14, 3, 1], [1, 0, 44, 54, 526, 108, 1725, 372, 1197, 768, 86, 230, 4, 4, 1], [1, 1, 23, 199, 10, 1198, 318, 1374, 1077, 285, 571, 11, 48, 4, 0], [1, 1, 23, 200, 0, 1243, 198, 1584, 825, 495, 451, 56, 38, 5, 0], [1, 1, 24, 189, 55, 1078, 528, 1122, 1287, 165, 616, 1, 49, 4, 0], [1, 1, 24, 190, 45, 1123, 408, 1332, 1035, 375, 496, 46, 39, 5, 0], [1, 1, 24, 191, 35, 1168, 288, 1542, 783, 585, 376, 91, 29, 6, 0], [1, 1, 24, 192, 25, 1213, 168, 1752, 531, 795, 256, 136, 19, 7, 0], [1, 1, 24, 193, 15, 1258, 48, 1962, 279, 1005, 136, 181, 9, 8, 0], [1, 1, 25, 180, 90, 1003, 618, 1080, 1245, 255, 541, 36, 40, 5, 0], [1, 1, 25, 181, 80, 1048, 498, 1290, 993, 465, 421, 81, 30, 6, 0], [1, 1, 25, 182, 70, 1093, 378, 1500, 741, 675, 301, 126, 20, 7, 0], [1, 1, 25, 183, 60, 1138, 258, 1710, 489, 885, 181, 171, 10, 8, 0], [1, 1, 25, 184, 50, 1183, 138, 1920, 237, 1095, 61, 216, 0, 9, 0], [1, 1, 25, 185, 41, 1218, 63, 2010, 195, 1053, 151, 141, 35, 0, 1], [1, 1, 26, 170, 135, 883, 828, 828, 1455, 135, 586, 26, 41, 5, 0], [1, 1, 26, 171, 125, 928, 708, 1038, 1203, 345, 466, 71, 31, 6, 0], [1, 1, 26, 172, 115, 973, 588, 1248, 951, 555, 346, 116, 21, 7, 0], [1, 1, 26, 173, 105, 1018, 468, 1458, 699, 765, 226, 161, 11, 8, 0], [1, 1, 26, 174, 95, 1063, 348, 1668, 447, 975, 106, 206, 1, 9, 0], [1, 1, 26, 175, 86, 1098, 273, 1758, 405, 933, 196, 131, 36, 0, 1], [1, 1, 26, 176, 76, 1143, 153, 1968, 153, 1143, 76, 176, 26, 1, 1], [1, 1, 27, 160, 180, 763, 1038, 576, 1665, 15, 631, 16, 42, 5, 0], [1, 1, 27, 161, 170, 808, 918, 786, 1413, 225, 511, 61, 32, 6, 0], [1, 1, 27, 162, 160, 853, 798, 996, 1161, 435, 391, 106, 22, 7, 0], [1, 1, 27, 163, 150, 898, 678, 1206, 909, 645, 271, 151, 12, 8, 0], [1, 1, 27, 164, 140, 943, 558, 1416, 657, 855, 151, 196, 2, 9, 0], [1, 1, 27, 165, 131, 978, 483, 1506, 615, 813, 241, 121, 37, 0, 1], [1, 1, 27, 166, 121, 1023, 363, 1716, 363, 1023, 121, 166, 27, 1, 1], [1, 1, 27, 167, 111, 1068, 243, 1926, 111, 1233, 1, 211, 17, 2, 1], [1, 1, 28, 151, 215, 688, 1128, 534, 1623, 105, 556, 51, 33, 6, 0], [1, 1, 28, 152, 205, 733, 1008, 744, 1371, 315, 436, 96, 23, 7, 0], [1, 1, 28, 153, 195, 778, 888, 954, 1119, 525, 316, 141, 13, 8, 0], [1, 1, 28, 154, 185, 823, 768, 1164, 867, 735, 196, 186, 3, 9, 0], [1, 1, 28, 155, 176, 858, 693, 1254, 825, 693, 286, 111, 38, 0, 1], [1, 1, 28, 156, 166, 903, 573, 1464, 573, 903, 166, 156, 28, 1, 1], [1, 1, 28, 157, 156, 948, 453, 1674, 321, 1113, 46, 201, 18, 2, 1], [1, 1, 29, 142, 250, 613, 1218, 492, 1581, 195, 481, 86, 24, 7, 0], [1, 1, 29, 143, 240, 658, 1098, 702, 1329, 405, 361, 131, 14, 8, 0], [1, 1, 29, 144, 230, 703, 978, 912, 1077, 615, 241, 176, 4, 9, 0], [1, 1, 29, 145, 221, 738, 903, 1002, 1035, 573, 331, 101, 39, 0, 1], [1, 1, 29, 146, 211, 783, 783, 1212, 783, 783, 211, 146, 29, 1, 1], [1, 1, 29, 147, 201, 828, 663, 1422, 531, 993, 91, 191, 19, 2, 1], [1, 1, 30, 132, 295, 493, 1428, 240, 1791, 75, 526, 76, 25, 7, 0], [1, 1, 30, 133, 285, 538, 1308, 450, 1539, 285, 406, 121, 15, 8, 0], [1, 1, 30, 134, 275, 583, 1188, 660, 1287, 495, 286, 166, 5, 9, 0], [1, 1, 30, 135, 266, 618, 1113, 750, 1245, 453, 376, 91, 40, 0, 1], [1, 1, 30, 136, 256, 663, 993, 960, 993, 663, 256, 136, 30, 1, 1], [1, 1, 30, 137, 246, 708, 873, 1170, 741, 873, 136, 181, 20, 2, 1], [1, 1, 30, 138, 236, 753, 753, 1380, 489, 1083, 16, 226, 10, 3, 1], [1, 1, 31, 123, 330, 418, 1518, 198, 1749, 165, 451, 111, 16, 8, 0], [1, 1, 31, 124, 320, 463, 1398, 408, 1497, 375, 331, 156, 6, 9, 0], [1, 1, 31, 125, 311, 498, 1323, 498, 1455, 333, 421, 81, 41, 0, 1], [1, 1, 31, 126, 301, 543, 1203, 708, 1203, 543, 301, 126, 31, 1, 1], [1, 1, 31, 127, 291, 588, 1083, 918, 951, 753, 181, 171, 21, 2, 1], [1, 1, 31, 128, 281, 633, 963, 1128, 699, 963, 61, 216, 11, 3, 1], [1, 1, 32, 114, 365, 343, 1608, 156, 1707, 255, 376, 146, 7, 9, 0], [1, 1, 32, 115, 356, 378, 1533, 246, 1665, 213, 466, 71, 42, 0, 1], [1, 1, 32, 116, 346, 423, 1413, 456, 1413, 423, 346, 116, 32, 1, 1], [1, 1, 32, 117, 336, 468, 1293, 666, 1161, 633, 226, 161, 22, 2, 1], [1, 1, 32, 118, 326, 513, 1173, 876, 909, 843, 106, 206, 12, 3, 1], [1, 1, 33, 106, 391, 303, 1623, 204, 1623, 303, 391, 106, 33, 1, 1], [1, 1, 33, 107, 381, 348, 1503, 414, 1371, 513, 271, 151, 23, 2, 1], [1, 1, 33, 108, 371, 393, 1383, 624, 1119, 723, 151, 196, 13, 3, 1], [1, 1, 33, 109, 361, 438, 1263, 834, 867, 933, 31, 241, 3, 4, 1], [1, 1, 34, 97, 426, 228, 1713, 162, 1581, 393, 316, 141, 24, 2, 1], [1, 1, 34, 98, 416, 273, 1593, 372, 1329, 603, 196, 186, 14, 3, 1], [1, 1, 34, 99, 406, 318, 1473, 582, 1077, 813, 76, 231, 4, 4, 1], [1, 1, 35, 88, 461, 153, 1803, 120, 1539, 483, 241, 176, 15, 3, 1], [1, 1, 35, 89, 451, 198, 1683, 330, 1287, 693, 121, 221, 5, 4, 1], [1, 1, 36, 79, 496, 78, 1893, 78, 1497, 573, 166, 211, 6, 4, 1], [1, 2, 16, 215, 15, 1093, 576, 1038, 1335, 180, 576, 27, 41, 5, 0], [1, 2, 16, 216, 5, 1138, 456, 1248, 1083, 390, 456, 72, 31, 6, 0], [1, 2, 17, 205, 60, 973, 786, 786, 1545, 60, 621, 17, 42, 5, 0], [1, 2, 17, 206, 50, 1018, 666, 996, 1293, 270, 501, 62, 32, 6, 0], [1, 2, 17, 207, 40, 1063, 546, 1206, 1041, 480, 381, 107, 22, 7, 0], [1, 2, 17, 208, 30, 1108, 426, 1416, 789, 690, 261, 152, 12, 8, 0], [1, 2, 17, 209, 20, 1153, 306, 1626, 537, 900, 141, 197, 2, 9, 0], [1, 2, 17, 210, 11, 1188, 231, 1716, 495, 858, 231, 122, 37, 0, 1], [1, 2, 17, 211, 1, 1233, 111, 1926, 243, 1068, 111, 167, 27, 1, 1], [1, 2, 18, 196, 95, 898, 876, 744, 1503, 150, 546, 52, 33, 6, 0], [1, 2, 18, 197, 85, 943, 756, 954, 1251, 360, 426, 97, 23, 7, 0], [1, 2, 18, 198, 75, 988, 636, 1164, 999, 570, 306, 142, 13, 8, 0], [1, 2, 18, 199, 65, 1033, 516, 1374, 747, 780, 186, 187, 3, 9, 0], [1, 2, 18, 200, 56, 1068, 441, 1464, 705, 738, 276, 112, 38, 0, 1], [1, 2, 18, 201, 46, 1113, 321, 1674, 453, 948, 156, 157, 28, 1, 1], [1, 2, 18, 202, 36, 1158, 201, 1884, 201, 1158, 36, 202, 18, 2, 1], [1, 2, 19, 186, 140, 778, 1086, 492, 1713, 30, 591, 42, 34, 6, 0], [1, 2, 19, 187, 130, 823, 966, 702, 1461, 240, 471, 87, 24, 7, 0], [1, 2, 19, 188, 120, 868, 846, 912, 1209, 450, 351, 132, 14, 8, 0], [1, 2, 19, 189, 110, 913, 726, 1122, 957, 660, 231, 177, 4, 9, 0], [1, 2, 19, 190, 101, 948, 651, 1212, 915, 618, 321, 102, 39, 0, 1], [1, 2, 19, 191, 91, 993, 531, 1422, 663, 828, 201, 147, 29, 1, 1], [1, 2, 19, 192, 81, 1038, 411, 1632, 411, 1038, 81, 192, 19, 2, 1], [1, 2, 20, 177, 175, 703, 1176, 450, 1671, 120, 516, 77, 25, 7, 0], [1, 2, 20, 178, 165, 748, 1056, 660, 1419, 330, 396, 122, 15, 8, 0], [1, 2, 20, 179, 155, 793, 936, 870, 1167, 540, 276, 167, 5, 9, 0], [1, 2, 20, 180, 146, 828, 861, 960, 1125, 498, 366, 92, 40, 0, 1], [1, 2, 20, 181, 136, 873, 741, 1170, 873, 708, 246, 137, 30, 1, 1], [1, 2, 20, 182, 126, 918, 621, 1380, 621, 918, 126, 182, 20, 2, 1], [1, 2, 20, 183, 116, 963, 501, 1590, 369, 1128, 6, 227, 10, 3, 1], [1, 2, 21, 167, 220, 583, 1386, 198, 1881, 0, 561, 67, 26, 7, 0], [1, 2, 21, 168, 210, 628, 1266, 408, 1629, 210, 441, 112, 16, 8, 0], [1, 2, 21, 169, 200, 673, 1146, 618, 1377, 420, 321, 157, 6, 9, 0], [1, 2, 21, 170, 191, 708, 1071, 708, 1335, 378, 411, 82, 41, 0, 1], [1, 2, 21, 171, 181, 753, 951, 918, 1083, 588, 291, 127, 31, 1, 1], [1, 2, 21, 172, 171, 798, 831, 1128, 831, 798, 171, 172, 21, 2, 1], [1, 2, 21, 173, 161, 843, 711, 1338, 579, 1008, 51, 217, 11, 3, 1], [1, 2, 22, 158, 255, 508, 1476, 156, 1839, 90, 486, 102, 17, 8, 0], [1, 2, 22, 159, 245, 553, 1356, 366, 1587, 300, 366, 147, 7, 9, 0], [1, 2, 22, 160, 236, 588, 1281, 456, 1545, 258, 456, 72, 42, 0, 1], [1, 2, 22, 161, 226, 633, 1161, 666, 1293, 468, 336, 117, 32, 1, 1], [1, 2, 22, 162, 216, 678, 1041, 876, 1041, 678, 216, 162, 22, 2, 1], [1, 2, 22, 163, 206, 723, 921, 1086, 789, 888, 96, 207, 12, 3, 1], [1, 2, 23, 149, 290, 433, 1566, 114, 1797, 180, 411, 137, 8, 9, 0], [1, 2, 23, 150, 281, 468, 1491, 204, 1755, 138, 501, 62, 43, 0, 1], [1, 2, 23, 151, 271, 513, 1371, 414, 1503, 348, 381, 107, 33, 1, 1], [1, 2, 23, 152, 261, 558, 1251, 624, 1251, 558, 261, 152, 23, 2, 1], [1, 2, 23, 153, 251, 603, 1131, 834, 999, 768, 141, 197, 13, 3, 1], [1, 2, 23, 154, 241, 648, 1011, 1044, 747, 978, 21, 242, 3, 4, 1], [1, 2, 24, 141, 316, 393, 1581, 162, 1713, 228, 426, 97, 34, 1, 1], [1, 2, 24, 142, 306, 438, 1461, 372, 1461, 438, 306, 142, 24, 2, 1], [1, 2, 24, 143, 296, 483, 1341, 582, 1209, 648, 186, 187, 14, 3, 1], [1, 2, 24, 144, 286, 528, 1221, 792, 957, 858, 66, 232, 4, 4, 1], [1, 2, 25, 132, 351, 318, 1671, 120, 1671, 318, 351, 132, 25, 2, 1], [1, 2, 25, 133, 341, 363, 1551, 330, 1419, 528, 231, 177, 15, 3, 1], [1, 2, 25, 134, 331, 408, 1431, 540, 1167, 738, 111, 222, 5, 4, 1], [1, 2, 26, 123, 386, 243, 1761, 78, 1629, 408, 276, 167, 16, 3, 1], [1, 2, 26, 124, 376, 288, 1641, 288, 1377, 618, 156, 212, 6, 4, 1], [1, 2, 27, 114, 421, 168, 1851, 36, 1587, 498, 201, 202, 7, 4, 1], [1, 3, 9, 231, 20, 988, 834, 702, 1593, 75, 581, 43, 34, 6, 0], [1, 3, 9, 232, 10, 1033, 714, 912, 1341, 285, 461, 88, 24, 7, 0], [1, 3, 9, 233, 0, 1078, 594, 1122, 1089, 495, 341, 133, 14, 8, 0], [1, 3, 10, 222, 55, 913, 924, 660, 1551, 165, 506, 78, 25, 7, 0], [1, 3, 10, 223, 45, 958, 804, 870, 1299, 375, 386, 123, 15, 8, 0], [1, 3, 10, 224, 35, 1003, 684, 1080, 1047, 585, 266, 168, 5, 9, 0], [1, 3, 10, 225, 26, 1038, 609, 1170, 1005, 543, 356, 93, 40, 0, 1], [1, 3, 10, 226, 16, 1083, 489, 1380, 753, 753, 236, 138, 30, 1, 1], [1, 3, 10, 227, 6, 1128, 369, 1590, 501, 963, 116, 183, 20, 2, 1], [1, 3, 11, 212, 100, 793, 1134, 408, 1761, 45, 551, 68, 26, 7, 0], [1, 3, 11, 213, 90, 838, 1014, 618, 1509, 255, 431, 113, 16, 8, 0], [1, 3, 11, 214, 80, 883, 894, 828, 1257, 465, 311, 158, 6, 9, 0], [1, 3, 11, 215, 71, 918, 819, 918, 1215, 423, 401, 83, 41, 0, 1], [1, 3, 11, 216, 61, 963, 699, 1128, 963, 633, 281, 128, 31, 1, 1], [1, 3, 11, 217, 51, 1008, 579, 1338, 711, 843, 161, 173, 21, 2, 1], [1, 3, 11, 218, 41, 1053, 459, 1548, 459, 1053, 41, 218, 11, 3, 1], [1, 3, 12, 203, 135, 718, 1224, 366, 1719, 135, 476, 103, 17, 8, 0], [1, 3, 12, 204, 125, 763, 1104, 576, 1467, 345, 356, 148, 7, 9, 0], [1, 3, 12, 205, 116, 798, 1029, 666, 1425, 303, 446, 73, 42, 0, 1], [1, 3, 12, 206, 106, 843, 909, 876, 1173, 513, 326, 118, 32, 1, 1], [1, 3, 12, 207, 96, 888, 789, 1086, 921, 723, 206, 163, 22, 2, 1], [1, 3, 12, 208, 86, 933, 669, 1296, 669, 933, 86, 208, 12, 3, 1], [1, 3, 13, 193, 180, 598, 1434, 114, 1929, 15, 521, 93, 18, 8, 0], [1, 3, 13, 194, 170, 643, 1314, 324, 1677, 225, 401, 138, 8, 9, 0], [1, 3, 13, 195, 161, 678, 1239, 414, 1635, 183, 491, 63, 43, 0, 1], [1, 3, 13, 196, 151, 723, 1119, 624, 1383, 393, 371, 108, 33, 1, 1], [1, 3, 13, 197, 141, 768, 999, 834, 1131, 603, 251, 153, 23, 2, 1], [1, 3, 13, 198, 131, 813, 879, 1044, 879, 813, 131, 198, 13, 3, 1], [1, 3, 13, 199, 121, 858, 759, 1254, 627, 1023, 11, 243, 3, 4, 1], [1, 3, 14, 184, 215, 523, 1524, 72, 1887, 105, 446, 128, 9, 9, 0], [1, 3, 14, 185, 206, 558, 1449, 162, 1845, 63, 536, 53, 44, 0, 1], [1, 3, 14, 186, 196, 603, 1329, 372, 1593, 273, 416, 98, 34, 1, 1], [1, 3, 14, 187, 186, 648, 1209, 582, 1341, 483, 296, 143, 24, 2, 1], [1, 3, 14, 188, 176, 693, 1089, 792, 1089, 693, 176, 188, 14, 3, 1], [1, 3, 14, 189, 166, 738, 969, 1002, 837, 903, 56, 233, 4, 4, 1], [1, 3, 15, 175, 250, 448, 1614, 30, 1845, 195, 371, 163, 0, 10, 0], [1, 3, 15, 176, 241, 483, 1539, 120, 1803, 153, 461, 88, 35, 1, 1], [1, 3, 15, 177, 231, 528, 1419, 330, 1551, 363, 341, 133, 25, 2, 1], [1, 3, 15, 178, 221, 573, 1299, 540, 1299, 573, 221, 178, 15, 3, 1], [1, 3, 15, 179, 211, 618, 1179, 750, 1047, 783, 101, 223, 5, 4, 1], [1, 3, 16, 167, 276, 408, 1629, 78, 1761, 243, 386, 123, 26, 2, 1], [1, 3, 16, 168, 266, 453, 1509, 288, 1509, 453, 266, 168, 16, 3, 1], [1, 3, 16, 169, 256, 498, 1389, 498, 1257, 663, 146, 213, 6, 4, 1], [1, 3, 17, 158, 311, 333, 1719, 36, 1719, 333, 311, 158, 17, 3, 1], [1, 3, 17, 159, 301, 378, 1599, 246, 1467, 543, 191, 203, 7, 4, 1], [1, 4, 2, 248, 15, 928, 972, 576, 1599, 180, 466, 104, 17, 8, 0], [1, 4, 2, 249, 5, 973, 852, 786, 1347, 390, 346, 149, 7, 9, 0], [1, 4, 3, 238, 60, 808, 1182, 324, 1809, 60, 511, 94, 18, 8, 0], [1, 4, 3, 239, 50, 853, 1062, 534, 1557, 270, 391, 139, 8, 9, 0], [1, 4, 3, 240, 41, 888, 987, 624, 1515, 228, 481, 64, 43, 0, 1], [1, 4, 3, 241, 31, 933, 867, 834, 1263, 438, 361, 109, 33, 1, 1], [1, 4, 3, 242, 21, 978, 747, 1044, 1011, 648, 241, 154, 23, 2, 1], [1, 4, 3, 243, 11, 1023, 627, 1254, 759, 858, 121, 199, 13, 3, 1], [1, 4, 3, 244, 1, 1068, 507, 1464, 507, 1068, 1, 244, 3, 4, 1], [1, 4, 4, 229, 95, 733, 1272, 282, 1767, 150, 436, 129, 9, 9, 0], [1, 4, 4, 230, 86, 768, 1197, 372, 1725, 108, 526, 54, 44, 0, 1], [1, 4, 4, 231, 76, 813, 1077, 582, 1473, 318, 406, 99, 34, 1, 1], [1, 4, 4, 232, 66, 858, 957, 792, 1221, 528, 286, 144, 24, 2, 1], [1, 4, 4, 233, 56, 903, 837, 1002, 969, 738, 166, 189, 14, 3, 1], [1, 4, 4, 234, 46, 948, 717, 1212, 717, 948, 46, 234, 4, 4, 1], [1, 4, 5, 219, 140, 613, 1482, 30, 1977, 30, 481, 119, 10, 9, 0], [1, 4, 5, 220, 130, 658, 1362, 240, 1725, 240, 361, 164, 0, 10, 0], [1, 4, 5, 221, 121, 693, 1287, 330, 1683, 198, 451, 89, 35, 1, 1], [1, 4, 5, 222, 111, 738, 1167, 540, 1431, 408, 331, 134, 25, 2, 1], [1, 4, 5, 223, 101, 783, 1047, 750, 1179, 618, 211, 179, 15, 3, 1], [1, 4, 5, 224, 91, 828, 927, 960, 927, 828, 91, 224, 5, 4, 1], [1, 4, 6, 211, 166, 573, 1497, 78, 1893, 78, 496, 79, 36, 1, 1], [1, 4, 6, 212, 156, 618, 1377, 288, 1641, 288, 376, 124, 26, 2, 1], [1, 4, 6, 213, 146, 663, 1257, 498, 1389, 498, 256, 169, 16, 3, 1], [1, 4, 6, 214, 136, 708, 1137, 708, 1137, 708, 136, 214, 6, 4, 1], [1, 4, 7, 202, 201, 498, 1587, 36, 1851, 168, 421, 114, 27, 2, 1], [1, 4, 7, 203, 191, 543, 1467, 246, 1599, 378, 301, 159, 17, 3, 1], [1, 4, 7, 204, 181, 588, 1347, 456, 1347, 588, 181, 204, 7, 4, 1], [1, 4, 8, 194, 226, 468, 1557, 204, 1557, 468, 226, 194, 8, 4, 1], [1, 5, 0, 220, 186, 483, 1605, 120, 1605, 483, 186, 220, 0, 5, 1], [2, 0, 1, 270, 17, 776, 1260, 468, 1260, 776, 17, 270, 1, 0, 2], [2, 0, 2, 260, 62, 656, 1470, 216, 1470, 656, 62, 260, 2, 0, 2]}
-------
(14, 5120, 9) ALL distance distributions for INTERNAL point
(9, 5120, 9) has 1 possible DDs: {[10, 90, 360, 840, 1260, 1260, 840, 360, 90, 10]}
(10, 5120, 9) has 10 possible DDs: {[1, 90, 45, 1080, 210, 2268, 210, 1080, 45, 90, 1], [2, 80, 90, 960, 420, 2016, 420, 960, 90, 80, 2], [3, 70, 135, 840, 630, 1764, 630, 840, 135, 70, 3], [4, 60, 180, 720, 840, 1512, 840, 720, 180, 60, 4], [5, 50, 225, 600, 1050, 1260, 1050, 600, 225, 50, 5], [6, 40, 270, 480, 1260, 1008, 1260, 480, 270, 40, 6], [7, 30, 315, 360, 1470, 756, 1470, 360, 315, 30, 7], [8, 20, 360, 240, 1680, 504, 1680, 240, 360, 20, 8], [9, 10, 405, 120, 1890, 252, 1890, 120, 405, 10, 9], [10, 0, 450, 0, 2100, 0, 2100, 0, 450, 0, 10]}
(11, 5120, 9) has 30 possible DDs: {[1, 40, 95, 480, 810, 1008, 1470, 480, 645, 40, 51, 0], [1, 41, 85, 525, 690, 1218, 1218, 690, 525, 85, 41, 1], [1, 42, 75, 570, 570, 1428, 966, 900, 405, 130, 31, 2], [1, 43, 65, 615, 450, 1638, 714, 1110, 285, 175, 21, 3], [1, 44, 55, 660, 330, 1848, 462, 1320, 165, 220, 11, 4], [1, 45, 45, 705, 210, 2058, 210, 1530, 45, 265, 1, 5], [2, 30, 140, 360, 1020, 756, 1680, 360, 690, 30, 52, 0], [2, 31, 130, 405, 900, 966, 1428, 570, 570, 75, 42, 1], [2, 32, 120, 450, 780, 1176, 1176, 780, 450, 120, 32, 2], [2, 33, 110, 495, 660, 1386, 924, 990, 330, 165, 22, 3], [2, 34, 100, 540, 540, 1596, 672, 1200, 210, 210, 12, 4], [2, 35, 90, 585, 420, 1806, 420, 1410, 90, 255, 2, 5], [3, 20, 185, 240, 1230, 504, 1890, 240, 735, 20, 53, 0], [3, 21, 175, 285, 1110, 714, 1638, 450, 615, 65, 43, 1], [3, 22, 165, 330, 990, 924, 1386, 660, 495, 110, 33, 2], [3, 23, 155, 375, 870, 1134, 1134, 870, 375, 155, 23, 3], [3, 24, 145, 420, 750, 1344, 882, 1080, 255, 200, 13, 4], [3, 25, 135, 465, 630, 1554, 630, 1290, 135, 245, 3, 5], [4, 10, 230, 120, 1440, 252, 2100, 120, 780, 10, 54, 0], [4, 11, 220, 165, 1320, 462, 1848, 330, 660, 55, 44, 1], [4, 12, 210, 210, 1200, 672, 1596, 540, 540, 100, 34, 2], [4, 13, 200, 255, 1080, 882, 1344, 750, 420, 145, 24, 3], [4, 14, 190, 300, 960, 1092, 1092, 960, 300, 190, 14, 4], [4, 15, 180, 345, 840, 1302, 840, 1170, 180, 235, 4, 5], [5, 0, 275, 0, 1650, 0, 2310, 0, 825, 0, 55, 0], [5, 1, 265, 45, 1530, 210, 2058, 210, 705, 45, 45, 1], [5, 2, 255, 90, 1410, 420, 1806, 420, 585, 90, 35, 2], [5, 3, 245, 135, 1290, 630, 1554, 630, 465, 135, 25, 3], [5, 4, 235, 180, 1170, 840, 1302, 840, 345, 180, 15, 4], [5, 5, 225, 225, 1050, 1050, 1050, 1050, 225, 225, 5, 5]}
(12, 5120, 9) has 75 possible DDs: {[1, 12, 125, 70, 1170, 48, 2226, 180, 1005, 180, 81, 22, 0], [1, 13, 115, 115, 1050, 258, 1974, 390, 885, 225, 71, 23, 0], [1, 13, 116, 105, 1095, 138, 2184, 138, 1095, 105, 116, 13, 1], [1, 14, 105, 160, 930, 468, 1722, 600, 765, 270, 61, 24, 0], [1, 14, 106, 150, 975, 348, 1932, 348, 975, 150, 106, 14, 1], [1, 14, 107, 140, 1020, 228, 2142, 96, 1185, 30, 151, 4, 2], [1, 15, 95, 205, 810, 678, 1470, 810, 645, 315, 51, 25, 0], [1, 15, 96, 195, 855, 558, 1680, 558, 855, 195, 96, 15, 1], [1, 15, 97, 185, 900, 438, 1890, 306, 1065, 75, 141, 5, 2], [1, 16, 85, 250, 690, 888, 1218, 1020, 525, 360, 41, 26, 0], [1, 16, 86, 240, 735, 768, 1428, 768, 735, 240, 86, 16, 1], [1, 16, 87, 230, 780, 648, 1638, 516, 945, 120, 131, 6, 2], [1, 17, 75, 295, 570, 1098, 966, 1230, 405, 405, 31, 27, 0], [1, 17, 76, 285, 615, 978, 1176, 978, 615, 285, 76, 17, 1], [1, 17, 77, 275, 660, 858, 1386, 726, 825, 165, 121, 7, 2], [1, 18, 65, 340, 450, 1308, 714, 1440, 285, 450, 21, 28, 0], [1, 18, 66, 330, 495, 1188, 924, 1188, 495, 330, 66, 18, 1], [1, 18, 67, 320, 540, 1068, 1134, 936, 705, 210, 111, 8, 2], [1, 19, 55, 385, 330, 1518, 462, 1650, 165, 495, 11, 29, 0], [1, 19, 56, 375, 375, 1398, 672, 1398, 375, 375, 56, 19, 1], [1, 19, 57, 365, 420, 1278, 882, 1146, 585, 255, 101, 9, 2], [1, 20, 45, 430, 210, 1728, 210, 1860, 45, 540, 1, 30, 0], [1, 20, 46, 420, 255, 1608, 420, 1608, 255, 420, 46, 20, 1], [1, 20, 47, 410, 300, 1488, 630, 1356, 465, 300, 91, 10, 2], [1, 20, 48, 400, 345, 1368, 840, 1104, 675, 180, 136, 0, 3], [1, 21, 36, 465, 135, 1818, 168, 1818, 135, 465, 36, 21, 1], [1, 21, 37, 455, 180, 1698, 378, 1566, 345, 345, 81, 11, 2], [1, 21, 38, 445, 225, 1578, 588, 1314, 555, 225, 126, 1, 3], [1, 22, 27, 500, 60, 1908, 126, 1776, 225, 390, 71, 12, 2], [1, 22, 28, 490, 105, 1788, 336, 1524, 435, 270, 116, 2, 3], [2, 4, 150, 40, 1140, 216, 1932, 480, 810, 260, 62, 24, 0], [2, 4, 151, 30, 1185, 96, 2142, 228, 1020, 140, 107, 14, 1], [2, 5, 140, 85, 1020, 426, 1680, 690, 690, 305, 52, 25, 0], [2, 5, 141, 75, 1065, 306, 1890, 438, 900, 185, 97, 15, 1], [2, 5, 142, 65, 1110, 186, 2100, 186, 1110, 65, 142, 5, 2], [2, 6, 130, 130, 900, 636, 1428, 900, 570, 350, 42, 26, 0], [2, 6, 131, 120, 945, 516, 1638, 648, 780, 230, 87, 16, 1], [2, 6, 132, 110, 990, 396, 1848, 396, 990, 110, 132, 6, 2], [2, 7, 120, 175, 780, 846, 1176, 1110, 450, 395, 32, 27, 0], [2, 7, 121, 165, 825, 726, 1386, 858, 660, 275, 77, 17, 1], [2, 7, 122, 155, 870, 606, 1596, 606, 870, 155, 122, 7, 2], [2, 8, 110, 220, 660, 1056, 924, 1320, 330, 440, 22, 28, 0], [2, 8, 111, 210, 705, 936, 1134, 1068, 540, 320, 67, 18, 1], [2, 8, 112, 200, 750, 816, 1344, 816, 750, 200, 112, 8, 2], [2, 9, 100, 265, 540, 1266, 672, 1530, 210, 485, 12, 29, 0], [2, 9, 101, 255, 585, 1146, 882, 1278, 420, 365, 57, 19, 1], [2, 9, 102, 245, 630, 1026, 1092, 1026, 630, 245, 102, 9, 2], [2, 10, 90, 310, 420, 1476, 420, 1740, 90, 530, 2, 30, 0], [2, 10, 91, 300, 465, 1356, 630, 1488, 300, 410, 47, 20, 1], [2, 10, 92, 290, 510, 1236, 840, 1236, 510, 290, 92, 10, 2], [2, 10, 93, 280, 555, 1116, 1050, 984, 720, 170, 137, 0, 3], [2, 11, 81, 345, 345, 1566, 378, 1698, 180, 455, 37, 21, 1], [2, 11, 82, 335, 390, 1446, 588, 1446, 390, 335, 82, 11, 2], [2, 11, 83, 325, 435, 1326, 798, 1194, 600, 215, 127, 1, 3], [2, 12, 71, 390, 225, 1776, 126, 1908, 60, 500, 27, 22, 1], [2, 12, 72, 380, 270, 1656, 336, 1656, 270, 380, 72, 12, 2], [2, 12, 73, 370, 315, 1536, 546, 1404, 480, 260, 117, 2, 3], [2, 13, 62, 425, 150, 1866, 84, 1866, 150, 425, 62, 13, 2], [2, 13, 63, 415, 195, 1746, 294, 1614, 360, 305, 107, 3, 3], [2, 14, 53, 460, 75, 1956, 42, 1824, 240, 350, 97, 4, 3], [3, 0, 135, 190, 630, 1224, 630, 1620, 135, 520, 3, 30, 0], [3, 0, 136, 180, 675, 1104, 840, 1368, 345, 400, 48, 20, 1], [3, 0, 137, 170, 720, 984, 1050, 1116, 555, 280, 93, 10, 2], [3, 0, 138, 160, 765, 864, 1260, 864, 765, 160, 138, 0, 3], [3, 1, 126, 225, 555, 1314, 588, 1578, 225, 445, 38, 21, 1], [3, 1, 127, 215, 600, 1194, 798, 1326, 435, 325, 83, 11, 2], [3, 1, 128, 205, 645, 1074, 1008, 1074, 645, 205, 128, 1, 3], [3, 2, 116, 270, 435, 1524, 336, 1788, 105, 490, 28, 22, 1], [3, 2, 117, 260, 480, 1404, 546, 1536, 315, 370, 73, 12, 2], [3, 2, 118, 250, 525, 1284, 756, 1284, 525, 250, 118, 2, 3], [3, 3, 107, 305, 360, 1614, 294, 1746, 195, 415, 63, 13, 2], [3, 3, 108, 295, 405, 1494, 504, 1494, 405, 295, 108, 3, 3], [3, 4, 97, 350, 240, 1824, 42, 1956, 75, 460, 53, 14, 2], [3, 4, 98, 340, 285, 1704, 252, 1704, 285, 340, 98, 4, 3], [3, 5, 88, 385, 165, 1914, 0, 1914, 165, 385, 88, 5, 3]}
(13, 5120, 9) has 156 possible DDs: {[1, 0, 103, 0, 770, 528, 990, 1584, 165, 880, 11, 80, 8, 0], [1, 1, 93, 45, 650, 738, 738, 1794, 45, 925, 1, 81, 8, 0], [1, 1, 94, 35, 695, 618, 948, 1542, 255, 805, 46, 71, 9, 0], [1, 1, 95, 25, 740, 498, 1158, 1290, 465, 685, 91, 61, 10, 0], [1, 1, 96, 15, 785, 378, 1368, 1038, 675, 565, 136, 51, 11, 0], [1, 1, 96, 16, 775, 423, 1248, 1248, 423, 775, 16, 96, 1, 1], [1, 1, 97, 5, 830, 258, 1578, 786, 885, 445, 181, 41, 12, 0], [1, 1, 97, 6, 820, 303, 1458, 996, 633, 655, 61, 86, 2, 1], [1, 2, 84, 80, 575, 828, 696, 1752, 135, 850, 36, 72, 9, 0], [1, 2, 85, 70, 620, 708, 906, 1500, 345, 730, 81, 62, 10, 0], [1, 2, 86, 60, 665, 588, 1116, 1248, 555, 610, 126, 52, 11, 0], [1, 2, 86, 61, 655, 633, 996, 1458, 303, 820, 6, 97, 1, 1], [1, 2, 87, 50, 710, 468, 1326, 996, 765, 490, 171, 42, 12, 0], [1, 2, 87, 51, 700, 513, 1206, 1206, 513, 700, 51, 87, 2, 1], [1, 2, 88, 40, 755, 348, 1536, 744, 975, 370, 216, 32, 13, 0], [1, 2, 88, 41, 745, 393, 1416, 954, 723, 580, 96, 77, 3, 1], [1, 2, 89, 30, 800, 228, 1746, 492, 1185, 250, 261, 22, 14, 0], [1, 2, 89, 31, 790, 273, 1626, 702, 933, 460, 141, 67, 4, 1], [1, 2, 90, 20, 845, 108, 1956, 240, 1395, 130, 306, 12, 15, 0], [1, 2, 90, 21, 835, 153, 1836, 450, 1143, 340, 186, 57, 5, 1], [1, 2, 91, 11, 880, 33, 2046, 198, 1353, 220, 231, 47, 6, 1], [1, 3, 74, 125, 455, 1038, 444, 1962, 15, 895, 26, 73, 9, 0], [1, 3, 75, 115, 500, 918, 654, 1710, 225, 775, 71, 63, 10, 0], [1, 3, 76, 105, 545, 798, 864, 1458, 435, 655, 116, 53, 11, 0], [1, 3, 77, 95, 590, 678, 1074, 1206, 645, 535, 161, 43, 12, 0], [1, 3, 77, 96, 580, 723, 954, 1416, 393, 745, 41, 88, 2, 1], [1, 3, 78, 85, 635, 558, 1284, 954, 855, 415, 206, 33, 13, 0], [1, 3, 78, 86, 625, 603, 1164, 1164, 603, 625, 86, 78, 3, 1], [1, 3, 79, 75, 680, 438, 1494, 702, 1065, 295, 251, 23, 14, 0], [1, 3, 79, 76, 670, 483, 1374, 912, 813, 505, 131, 68, 4, 1], [1, 3, 80, 65, 725, 318, 1704, 450, 1275, 175, 296, 13, 15, 0], [1, 3, 80, 66, 715, 363, 1584, 660, 1023, 385, 176, 58, 5, 1], [1, 3, 81, 55, 770, 198, 1914, 198, 1485, 55, 341, 3, 16, 0], [1, 3, 81, 56, 760, 243, 1794, 408, 1233, 265, 221, 48, 6, 1], [1, 3, 82, 46, 805, 123, 2004, 156, 1443, 145, 266, 38, 7, 1], [1, 4, 65, 160, 380, 1128, 402, 1920, 105, 820, 61, 64, 10, 0], [1, 4, 66, 150, 425, 1008, 612, 1668, 315, 700, 106, 54, 11, 0], [1, 4, 67, 140, 470, 888, 822, 1416, 525, 580, 151, 44, 12, 0], [1, 4, 67, 141, 460, 933, 702, 1626, 273, 790, 31, 89, 2, 1], [1, 4, 68, 130, 515, 768, 1032, 1164, 735, 460, 196, 34, 13, 0], [1, 4, 68, 131, 505, 813, 912, 1374, 483, 670, 76, 79, 3, 1], [1, 4, 69, 120, 560, 648, 1242, 912, 945, 340, 241, 24, 14, 0], [1, 4, 69, 121, 550, 693, 1122, 1122, 693, 550, 121, 69, 4, 1], [1, 4, 70, 110, 605, 528, 1452, 660, 1155, 220, 286, 14, 15, 0], [1, 4, 70, 111, 595, 573, 1332, 870, 903, 430, 166, 59, 5, 1], [1, 4, 71, 100, 650, 408, 1662, 408, 1365, 100, 331, 4, 16, 0], [1, 4, 71, 101, 640, 453, 1542, 618, 1113, 310, 211, 49, 6, 1], [1, 4, 72, 91, 685, 333, 1752, 366, 1323, 190, 256, 39, 7, 1], [1, 4, 73, 81, 730, 213, 1962, 114, 1533, 70, 301, 29, 8, 1], [1, 5, 56, 195, 305, 1218, 360, 1878, 195, 745, 96, 55, 11, 0], [1, 5, 57, 185, 350, 1098, 570, 1626, 405, 625, 141, 45, 12, 0], [1, 5, 57, 186, 340, 1143, 450, 1836, 153, 835, 21, 90, 2, 1], [1, 5, 58, 175, 395, 978, 780, 1374, 615, 505, 186, 35, 13, 0], [1, 5, 58, 176, 385, 1023, 660, 1584, 363, 715, 66, 80, 3, 1], [1, 5, 59, 165, 440, 858, 990, 1122, 825, 385, 231, 25, 14, 0], [1, 5, 59, 166, 430, 903, 870, 1332, 573, 595, 111, 70, 4, 1], [1, 5, 60, 155, 485, 738, 1200, 870, 1035, 265, 276, 15, 15, 0], [1, 5, 60, 156, 475, 783, 1080, 1080, 783, 475, 156, 60, 5, 1], [1, 5, 61, 145, 530, 618, 1410, 618, 1245, 145, 321, 5, 16, 0], [1, 5, 61, 146, 520, 663, 1290, 828, 993, 355, 201, 50, 6, 1], [1, 5, 62, 136, 565, 543, 1500, 576, 1203, 235, 246, 40, 7, 1], [1, 5, 63, 126, 610, 423, 1710, 324, 1413, 115, 291, 30, 8, 1], [1, 5, 65, 107, 690, 228, 2010, 30, 1581, 85, 261, 55, 0, 2], [1, 6, 46, 240, 185, 1428, 108, 2088, 75, 790, 86, 56, 11, 0], [1, 6, 47, 230, 230, 1308, 318, 1836, 285, 670, 131, 46, 12, 0], [1, 6, 47, 231, 220, 1353, 198, 2046, 33, 880, 11, 91, 2, 1], [1, 6, 48, 220, 275, 1188, 528, 1584, 495, 550, 176, 36, 13, 0], [1, 6, 48, 221, 265, 1233, 408, 1794, 243, 760, 56, 81, 3, 1], [1, 6, 49, 210, 320, 1068, 738, 1332, 705, 430, 221, 26, 14, 0], [1, 6, 49, 211, 310, 1113, 618, 1542, 453, 640, 101, 71, 4, 1], [1, 6, 50, 200, 365, 948, 948, 1080, 915, 310, 266, 16, 15, 0], [1, 6, 50, 201, 355, 993, 828, 1290, 663, 520, 146, 61, 5, 1], [1, 6, 51, 190, 410, 828, 1158, 828, 1125, 190, 311, 6, 16, 0], [1, 6, 51, 191, 400, 873, 1038, 1038, 873, 400, 191, 51, 6, 1], [1, 6, 52, 181, 445, 753, 1248, 786, 1083, 280, 236, 41, 7, 1], [1, 6, 53, 171, 490, 633, 1458, 534, 1293, 160, 281, 31, 8, 1], [1, 6, 54, 161, 535, 513, 1668, 282, 1503, 40, 326, 21, 9, 1], [1, 6, 55, 152, 570, 438, 1758, 240, 1461, 130, 251, 56, 0, 2], [1, 7, 37, 275, 110, 1518, 66, 2046, 165, 715, 121, 47, 12, 0], [1, 7, 38, 265, 155, 1398, 276, 1794, 375, 595, 166, 37, 13, 0], [1, 7, 38, 266, 145, 1443, 156, 2004, 123, 805, 46, 82, 3, 1], [1, 7, 39, 255, 200, 1278, 486, 1542, 585, 475, 211, 27, 14, 0], [1, 7, 39, 256, 190, 1323, 366, 1752, 333, 685, 91, 72, 4, 1], [1, 7, 40, 245, 245, 1158, 696, 1290, 795, 355, 256, 17, 15, 0], [1, 7, 40, 246, 235, 1203, 576, 1500, 543, 565, 136, 62, 5, 1], [1, 7, 41, 235, 290, 1038, 906, 1038, 1005, 235, 301, 7, 16, 0], [1, 7, 41, 236, 280, 1083, 786, 1248, 753, 445, 181, 52, 6, 1], [1, 7, 42, 226, 325, 963, 996, 996, 963, 325, 226, 42, 7, 1], [1, 7, 43, 216, 370, 843, 1206, 744, 1173, 205, 271, 32, 8, 1], [1, 7, 44, 206, 415, 723, 1416, 492, 1383, 85, 316, 22, 9, 1], [1, 7, 45, 197, 450, 648, 1506, 450, 1341, 175, 241, 57, 0, 2], [1, 7, 46, 187, 495, 528, 1716, 198, 1551, 55, 286, 47, 1, 2], [1, 8, 28, 310, 35, 1608, 24, 2004, 255, 640, 156, 38, 13, 0], [1, 8, 29, 300, 80, 1488, 234, 1752, 465, 520, 201, 28, 14, 0], [1, 8, 29, 301, 70, 1533, 114, 1962, 213, 730, 81, 73, 4, 1], [1, 8, 30, 290, 125, 1368, 444, 1500, 675, 400, 246, 18, 15, 0], [1, 8, 30, 291, 115, 1413, 324, 1710, 423, 610, 126, 63, 5, 1], [1, 8, 31, 280, 170, 1248, 654, 1248, 885, 280, 291, 8, 16, 0], [1, 8, 31, 281, 160, 1293, 534, 1458, 633, 490, 171, 53, 6, 1], [1, 8, 32, 271, 205, 1173, 744, 1206, 843, 370, 216, 43, 7, 1], [1, 8, 33, 261, 250, 1053, 954, 954, 1053, 250, 261, 33, 8, 1], [1, 8, 34, 251, 295, 933, 1164, 702, 1263, 130, 306, 23, 9, 1], [1, 8, 35, 241, 340, 813, 1374, 450, 1473, 10, 351, 13, 10, 1], [1, 8, 35, 242, 330, 858, 1254, 660, 1221, 220, 231, 58, 0, 2], [1, 8, 36, 232, 375, 738, 1464, 408, 1431, 100, 276, 48, 1, 2], [1, 9, 20, 335, 5, 1578, 192, 1710, 555, 445, 236, 19, 15, 0], [1, 9, 21, 325, 50, 1458, 402, 1458, 765, 325, 281, 9, 16, 0], [1, 9, 21, 326, 40, 1503, 282, 1668, 513, 535, 161, 54, 6, 1], [1, 9, 22, 316, 85, 1383, 492, 1416, 723, 415, 206, 44, 7, 1], [1, 9, 23, 306, 130, 1263, 702, 1164, 933, 295, 251, 34, 8, 1], [1, 9, 24, 296, 175, 1143, 912, 912, 1143, 175, 296, 24, 9, 1], [1, 9, 25, 286, 220, 1023, 1122, 660, 1353, 55, 341, 14, 10, 1], [1, 9, 25, 287, 210, 1068, 1002, 870, 1101, 265, 221, 59, 0, 2], [1, 9, 26, 277, 255, 948, 1212, 618, 1311, 145, 266, 49, 1, 2], [1, 9, 27, 267, 300, 828, 1422, 366, 1521, 25, 311, 39, 2, 2], [1, 10, 13, 351, 10, 1473, 450, 1374, 813, 340, 241, 35, 8, 1], [1, 10, 14, 341, 55, 1353, 660, 1122, 1023, 220, 286, 25, 9, 1], [1, 10, 15, 331, 100, 1233, 870, 870, 1233, 100, 331, 15, 10, 1], [1, 10, 15, 332, 90, 1278, 750, 1080, 981, 310, 211, 60, 0, 2], [1, 10, 16, 322, 135, 1158, 960, 828, 1191, 190, 256, 50, 1, 2], [1, 10, 17, 312, 180, 1038, 1170, 576, 1401, 70, 301, 40, 2, 2], [1, 11, 6, 366, 25, 1323, 828, 828, 1323, 25, 366, 6, 11, 1], [1, 11, 6, 367, 15, 1368, 708, 1038, 1071, 235, 246, 51, 1, 2], [1, 11, 7, 357, 60, 1248, 918, 786, 1281, 115, 291, 41, 2, 2], [2, 0, 55, 260, 95, 1536, 150, 1800, 480, 480, 227, 20, 15, 0], [2, 0, 55, 261, 85, 1581, 30, 2010, 228, 690, 107, 65, 5, 1], [2, 0, 56, 250, 140, 1416, 360, 1548, 690, 360, 272, 10, 16, 0], [2, 0, 56, 251, 130, 1461, 240, 1758, 438, 570, 152, 55, 6, 1], [2, 0, 57, 240, 185, 1296, 570, 1296, 900, 240, 317, 0, 17, 0], [2, 0, 57, 241, 175, 1341, 450, 1506, 648, 450, 197, 45, 7, 1], [2, 0, 58, 231, 220, 1221, 660, 1254, 858, 330, 242, 35, 8, 1], [2, 0, 59, 221, 265, 1101, 870, 1002, 1068, 210, 287, 25, 9, 1], [2, 0, 60, 211, 310, 981, 1080, 750, 1278, 90, 332, 15, 10, 1], [2, 0, 60, 212, 300, 1026, 960, 960, 1026, 300, 212, 60, 0, 2], [2, 0, 61, 202, 345, 906, 1170, 708, 1236, 180, 257, 50, 1, 2], [2, 0, 62, 192, 390, 786, 1380, 456, 1446, 60, 302, 40, 2, 2], [2, 1, 46, 295, 20, 1626, 108, 1758, 570, 405, 262, 11, 16, 0], [2, 1, 47, 285, 65, 1506, 318, 1506, 780, 285, 307, 1, 17, 0], [2, 1, 47, 286, 55, 1551, 198, 1716, 528, 495, 187, 46, 7, 1], [2, 1, 48, 276, 100, 1431, 408, 1464, 738, 375, 232, 36, 8, 1], [2, 1, 49, 266, 145, 1311, 618, 1212, 948, 255, 277, 26, 9, 1], [2, 1, 50, 256, 190, 1191, 828, 960, 1158, 135, 322, 16, 10, 1], [2, 1, 50, 257, 180, 1236, 708, 1170, 906, 345, 202, 61, 0, 2], [2, 1, 51, 246, 235, 1071, 1038, 708, 1368, 15, 367, 6, 11, 1], [2, 1, 51, 247, 225, 1116, 918, 918, 1116, 225, 247, 51, 1, 2], [2, 1, 52, 237, 270, 996, 1128, 666, 1326, 105, 292, 41, 2, 2], [2, 2, 39, 311, 25, 1521, 366, 1422, 828, 300, 267, 27, 9, 1], [2, 2, 40, 301, 70, 1401, 576, 1170, 1038, 180, 312, 17, 10, 1], [2, 2, 40, 302, 60, 1446, 456, 1380, 786, 390, 192, 62, 0, 2], [2, 2, 41, 291, 115, 1281, 786, 918, 1248, 60, 357, 7, 11, 1], [2, 2, 41, 292, 105, 1326, 666, 1128, 996, 270, 237, 52, 1, 2], [2, 2, 42, 282, 150, 1206, 876, 876, 1206, 150, 282, 42, 2, 2], [2, 2, 43, 272, 195, 1086, 1086, 624, 1416, 30, 327, 32, 3, 2], [2, 3, 32, 327, 30, 1416, 624, 1086, 1086, 195, 272, 43, 2, 2], [2, 3, 33, 317, 75, 1296, 834, 834, 1296, 75, 317, 33, 3, 2], [2, 4, 24, 352, 0, 1386, 792, 792, 1386, 0, 352, 24, 4, 2]}
(14, 5120, 9) has 277 possible DDs: {[1, 0, 31, 174, 40, 1228, 150, 1668, 777, 480, 491, 30, 46, 4, 0], [1, 0, 31, 175, 30, 1273, 30, 1878, 525, 690, 371, 75, 36, 5, 0], [1, 0, 32, 164, 85, 1108, 360, 1416, 987, 360, 536, 20, 47, 4, 0], [1, 0, 32, 165, 75, 1153, 240, 1626, 735, 570, 416, 65, 37, 5, 0], [1, 0, 32, 166, 65, 1198, 120, 1836, 483, 780, 296, 110, 27, 6, 0], [1, 0, 32, 167, 55, 1243, 0, 2046, 231, 990, 176, 155, 17, 7, 0], [1, 0, 33, 154, 130, 988, 570, 1164, 1197, 240, 581, 10, 48, 4, 0], [1, 0, 33, 155, 120, 1033, 450, 1374, 945, 450, 461, 55, 38, 5, 0], [1, 0, 33, 156, 110, 1078, 330, 1584, 693, 660, 341, 100, 28, 6, 0], [1, 0, 33, 157, 100, 1123, 210, 1794, 441, 870, 221, 145, 18, 7, 0], [1, 0, 33, 158, 90, 1168, 90, 2004, 189, 1080, 101, 190, 8, 8, 0], [1, 0, 34, 144, 175, 868, 780, 912, 1407, 120, 626, 0, 49, 4, 0], [1, 0, 34, 145, 165, 913, 660, 1122, 1155, 330, 506, 45, 39, 5, 0], [1, 0, 34, 146, 155, 958, 540, 1332, 903, 540, 386, 90, 29, 6, 0], [1, 0, 34, 147, 145, 1003, 420, 1542, 651, 750, 266, 135, 19, 7, 0], [1, 0, 34, 148, 135, 1048, 300, 1752, 399, 960, 146, 180, 9, 8, 0], [1, 0, 34, 150, 116, 1128, 105, 2052, 105, 1128, 116, 150, 34, 0, 1], [1, 0, 35, 135, 210, 793, 870, 870, 1365, 210, 551, 35, 40, 5, 0], [1, 0, 35, 136, 200, 838, 750, 1080, 1113, 420, 431, 80, 30, 6, 0], [1, 0, 35, 137, 190, 883, 630, 1290, 861, 630, 311, 125, 20, 7, 0], [1, 0, 35, 138, 180, 928, 510, 1500, 609, 840, 191, 170, 10, 8, 0], [1, 0, 35, 139, 170, 973, 390, 1710, 357, 1050, 71, 215, 0, 9, 0], [1, 0, 35, 140, 161, 1008, 315, 1800, 315, 1008, 161, 140, 35, 0, 1], [1, 0, 35, 141, 151, 1053, 195, 2010, 63, 1218, 41, 185, 25, 1, 1], [1, 0, 36, 125, 255, 673, 1080, 618, 1575, 90, 596, 25, 41, 5, 0], [1, 0, 36, 126, 245, 718, 960, 828, 1323, 300, 476, 70, 31, 6, 0], [1, 0, 36, 127, 235, 763, 840, 1038, 1071, 510, 356, 115, 21, 7, 0], [1, 0, 36, 128, 225, 808, 720, 1248, 819, 720, 236, 160, 11, 8, 0], [1, 0, 36, 129, 215, 853, 600, 1458, 567, 930, 116, 205, 1, 9, 0], [1, 0, 36, 130, 206, 888, 525, 1548, 525, 888, 206, 130, 36, 0, 1], [1, 0, 36, 131, 196, 933, 405, 1758, 273, 1098, 86, 175, 26, 1, 1], [1, 0, 37, 116, 290, 598, 1170, 576, 1533, 180, 521, 60, 32, 6, 0], [1, 0, 37, 117, 280, 643, 1050, 786, 1281, 390, 401, 105, 22, 7, 0], [1, 0, 37, 118, 270, 688, 930, 996, 1029, 600, 281, 150, 12, 8, 0], [1, 0, 37, 119, 260, 733, 810, 1206, 777, 810, 161, 195, 2, 9, 0], [1, 0, 37, 120, 251, 768, 735, 1296, 735, 768, 251, 120, 37, 0, 1], [1, 0, 37, 121, 241, 813, 615, 1506, 483, 978, 131, 165, 27, 1, 1], [1, 0, 37, 122, 231, 858, 495, 1716, 231, 1188, 11, 210, 17, 2, 1], [1, 0, 38, 106, 335, 478, 1380, 324, 1743, 60, 566, 50, 33, 6, 0], [1, 0, 38, 107, 325, 523, 1260, 534, 1491, 270, 446, 95, 23, 7, 0], [1, 0, 38, 108, 315, 568, 1140, 744, 1239, 480, 326, 140, 13, 8, 0], [1, 0, 38, 109, 305, 613, 1020, 954, 987, 690, 206, 185, 3, 9, 0], [1, 0, 38, 110, 296, 648, 945, 1044, 945, 648, 296, 110, 38, 0, 1], [1, 0, 38, 111, 286, 693, 825, 1254, 693, 858, 176, 155, 28, 1, 1], [1, 0, 38, 112, 276, 738, 705, 1464, 441, 1068, 56, 200, 18, 2, 1], [1, 0, 39, 97, 370, 403, 1470, 282, 1701, 150, 491, 85, 24, 7, 0], [1, 0, 39, 98, 360, 448, 1350, 492, 1449, 360, 371, 130, 14, 8, 0], [1, 0, 39, 99, 350, 493, 1230, 702, 1197, 570, 251, 175, 4, 9, 0], [1, 0, 39, 100, 341, 528, 1155, 792, 1155, 528, 341, 100, 39, 0, 1], [1, 0, 39, 101, 331, 573, 1035, 1002, 903, 738, 221, 145, 29, 1, 1], [1, 0, 39, 102, 321, 618, 915, 1212, 651, 948, 101, 190, 19, 2, 1], [1, 0, 40, 87, 415, 283, 1680, 30, 1911, 30, 536, 75, 25, 7, 0], [1, 0, 40, 88, 405, 328, 1560, 240, 1659, 240, 416, 120, 15, 8, 0], [1, 0, 40, 89, 395, 373, 1440, 450, 1407, 450, 296, 165, 5, 9, 0], [1, 0, 40, 90, 386, 408, 1365, 540, 1365, 408, 386, 90, 40, 0, 1], [1, 0, 40, 91, 376, 453, 1245, 750, 1113, 618, 266, 135, 30, 1, 1], [1, 0, 40, 92, 366, 498, 1125, 960, 861, 828, 146, 180, 20, 2, 1], [1, 0, 40, 93, 356, 543, 1005, 1170, 609, 1038, 26, 225, 10, 3, 1], [1, 0, 41, 79, 440, 253, 1650, 198, 1617, 330, 341, 155, 6, 9, 0], [1, 0, 41, 80, 431, 288, 1575, 288, 1575, 288, 431, 80, 41, 0, 1], [1, 0, 41, 81, 421, 333, 1455, 498, 1323, 498, 311, 125, 31, 1, 1], [1, 0, 41, 82, 411, 378, 1335, 708, 1071, 708, 191, 170, 21, 2, 1], [1, 0, 41, 83, 401, 423, 1215, 918, 819, 918, 71, 215, 11, 3, 1], [1, 0, 42, 70, 476, 168, 1785, 36, 1785, 168, 476, 70, 42, 0, 1], [1, 0, 42, 71, 466, 213, 1665, 246, 1533, 378, 356, 115, 32, 1, 1], [1, 0, 42, 72, 456, 258, 1545, 456, 1281, 588, 236, 160, 22, 2, 1], [1, 0, 42, 73, 446, 303, 1425, 666, 1029, 798, 116, 205, 12, 3, 1], [1, 0, 43, 62, 501, 138, 1755, 204, 1491, 468, 281, 150, 23, 2, 1], [1, 0, 43, 63, 491, 183, 1635, 414, 1239, 678, 161, 195, 13, 3, 1], [1, 0, 43, 64, 481, 228, 1515, 624, 987, 888, 41, 240, 3, 4, 1], [1, 0, 44, 53, 536, 63, 1845, 162, 1449, 558, 206, 185, 14, 3, 1], [1, 0, 44, 54, 526, 108, 1725, 372, 1197, 768, 86, 230, 4, 4, 1], [1, 1, 23, 199, 10, 1198, 318, 1374, 1077, 285, 571, 11, 48, 4, 0], [1, 1, 23, 200, 0, 1243, 198, 1584, 825, 495, 451, 56, 38, 5, 0], [1, 1, 24, 189, 55, 1078, 528, 1122, 1287, 165, 616, 1, 49, 4, 0], [1, 1, 24, 190, 45, 1123, 408, 1332, 1035, 375, 496, 46, 39, 5, 0], [1, 1, 24, 191, 35, 1168, 288, 1542, 783, 585, 376, 91, 29, 6, 0], [1, 1, 24, 192, 25, 1213, 168, 1752, 531, 795, 256, 136, 19, 7, 0], [1, 1, 24, 193, 15, 1258, 48, 1962, 279, 1005, 136, 181, 9, 8, 0], [1, 1, 25, 180, 90, 1003, 618, 1080, 1245, 255, 541, 36, 40, 5, 0], [1, 1, 25, 181, 80, 1048, 498, 1290, 993, 465, 421, 81, 30, 6, 0], [1, 1, 25, 182, 70, 1093, 378, 1500, 741, 675, 301, 126, 20, 7, 0], [1, 1, 25, 183, 60, 1138, 258, 1710, 489, 885, 181, 171, 10, 8, 0], [1, 1, 25, 184, 50, 1183, 138, 1920, 237, 1095, 61, 216, 0, 9, 0], [1, 1, 25, 185, 41, 1218, 63, 2010, 195, 1053, 151, 141, 35, 0, 1], [1, 1, 26, 170, 135, 883, 828, 828, 1455, 135, 586, 26, 41, 5, 0], [1, 1, 26, 171, 125, 928, 708, 1038, 1203, 345, 466, 71, 31, 6, 0], [1, 1, 26, 172, 115, 973, 588, 1248, 951, 555, 346, 116, 21, 7, 0], [1, 1, 26, 173, 105, 1018, 468, 1458, 699, 765, 226, 161, 11, 8, 0], [1, 1, 26, 174, 95, 1063, 348, 1668, 447, 975, 106, 206, 1, 9, 0], [1, 1, 26, 175, 86, 1098, 273, 1758, 405, 933, 196, 131, 36, 0, 1], [1, 1, 26, 176, 76, 1143, 153, 1968, 153, 1143, 76, 176, 26, 1, 1], [1, 1, 27, 160, 180, 763, 1038, 576, 1665, 15, 631, 16, 42, 5, 0], [1, 1, 27, 161, 170, 808, 918, 786, 1413, 225, 511, 61, 32, 6, 0], [1, 1, 27, 162, 160, 853, 798, 996, 1161, 435, 391, 106, 22, 7, 0], [1, 1, 27, 163, 150, 898, 678, 1206, 909, 645, 271, 151, 12, 8, 0], [1, 1, 27, 164, 140, 943, 558, 1416, 657, 855, 151, 196, 2, 9, 0], [1, 1, 27, 165, 131, 978, 483, 1506, 615, 813, 241, 121, 37, 0, 1], [1, 1, 27, 166, 121, 1023, 363, 1716, 363, 1023, 121, 166, 27, 1, 1], [1, 1, 27, 167, 111, 1068, 243, 1926, 111, 1233, 1, 211, 17, 2, 1], [1, 1, 28, 151, 215, 688, 1128, 534, 1623, 105, 556, 51, 33, 6, 0], [1, 1, 28, 152, 205, 733, 1008, 744, 1371, 315, 436, 96, 23, 7, 0], [1, 1, 28, 153, 195, 778, 888, 954, 1119, 525, 316, 141, 13, 8, 0], [1, 1, 28, 154, 185, 823, 768, 1164, 867, 735, 196, 186, 3, 9, 0], [1, 1, 28, 155, 176, 858, 693, 1254, 825, 693, 286, 111, 38, 0, 1], [1, 1, 28, 156, 166, 903, 573, 1464, 573, 903, 166, 156, 28, 1, 1], [1, 1, 28, 157, 156, 948, 453, 1674, 321, 1113, 46, 201, 18, 2, 1], [1, 1, 29, 142, 250, 613, 1218, 492, 1581, 195, 481, 86, 24, 7, 0], [1, 1, 29, 143, 240, 658, 1098, 702, 1329, 405, 361, 131, 14, 8, 0], [1, 1, 29, 144, 230, 703, 978, 912, 1077, 615, 241, 176, 4, 9, 0], [1, 1, 29, 145, 221, 738, 903, 1002, 1035, 573, 331, 101, 39, 0, 1], [1, 1, 29, 146, 211, 783, 783, 1212, 783, 783, 211, 146, 29, 1, 1], [1, 1, 29, 147, 201, 828, 663, 1422, 531, 993, 91, 191, 19, 2, 1], [1, 1, 30, 132, 295, 493, 1428, 240, 1791, 75, 526, 76, 25, 7, 0], [1, 1, 30, 133, 285, 538, 1308, 450, 1539, 285, 406, 121, 15, 8, 0], [1, 1, 30, 134, 275, 583, 1188, 660, 1287, 495, 286, 166, 5, 9, 0], [1, 1, 30, 135, 266, 618, 1113, 750, 1245, 453, 376, 91, 40, 0, 1], [1, 1, 30, 136, 256, 663, 993, 960, 993, 663, 256, 136, 30, 1, 1], [1, 1, 30, 137, 246, 708, 873, 1170, 741, 873, 136, 181, 20, 2, 1], [1, 1, 30, 138, 236, 753, 753, 1380, 489, 1083, 16, 226, 10, 3, 1], [1, 1, 31, 123, 330, 418, 1518, 198, 1749, 165, 451, 111, 16, 8, 0], [1, 1, 31, 124, 320, 463, 1398, 408, 1497, 375, 331, 156, 6, 9, 0], [1, 1, 31, 125, 311, 498, 1323, 498, 1455, 333, 421, 81, 41, 0, 1], [1, 1, 31, 126, 301, 543, 1203, 708, 1203, 543, 301, 126, 31, 1, 1], [1, 1, 31, 127, 291, 588, 1083, 918, 951, 753, 181, 171, 21, 2, 1], [1, 1, 31, 128, 281, 633, 963, 1128, 699, 963, 61, 216, 11, 3, 1], [1, 1, 32, 114, 365, 343, 1608, 156, 1707, 255, 376, 146, 7, 9, 0], [1, 1, 32, 115, 356, 378, 1533, 246, 1665, 213, 466, 71, 42, 0, 1], [1, 1, 32, 116, 346, 423, 1413, 456, 1413, 423, 346, 116, 32, 1, 1], [1, 1, 32, 117, 336, 468, 1293, 666, 1161, 633, 226, 161, 22, 2, 1], [1, 1, 32, 118, 326, 513, 1173, 876, 909, 843, 106, 206, 12, 3, 1], [1, 1, 33, 106, 391, 303, 1623, 204, 1623, 303, 391, 106, 33, 1, 1], [1, 1, 33, 107, 381, 348, 1503, 414, 1371, 513, 271, 151, 23, 2, 1], [1, 1, 33, 108, 371, 393, 1383, 624, 1119, 723, 151, 196, 13, 3, 1], [1, 1, 33, 109, 361, 438, 1263, 834, 867, 933, 31, 241, 3, 4, 1], [1, 1, 34, 97, 426, 228, 1713, 162, 1581, 393, 316, 141, 24, 2, 1], [1, 1, 34, 98, 416, 273, 1593, 372, 1329, 603, 196, 186, 14, 3, 1], [1, 1, 34, 99, 406, 318, 1473, 582, 1077, 813, 76, 231, 4, 4, 1], [1, 1, 35, 88, 461, 153, 1803, 120, 1539, 483, 241, 176, 15, 3, 1], [1, 1, 35, 89, 451, 198, 1683, 330, 1287, 693, 121, 221, 5, 4, 1], [1, 1, 36, 79, 496, 78, 1893, 78, 1497, 573, 166, 211, 6, 4, 1], [1, 2, 16, 215, 15, 1093, 576, 1038, 1335, 180, 576, 27, 41, 5, 0], [1, 2, 16, 216, 5, 1138, 456, 1248, 1083, 390, 456, 72, 31, 6, 0], [1, 2, 17, 205, 60, 973, 786, 786, 1545, 60, 621, 17, 42, 5, 0], [1, 2, 17, 206, 50, 1018, 666, 996, 1293, 270, 501, 62, 32, 6, 0], [1, 2, 17, 207, 40, 1063, 546, 1206, 1041, 480, 381, 107, 22, 7, 0], [1, 2, 17, 208, 30, 1108, 426, 1416, 789, 690, 261, 152, 12, 8, 0], [1, 2, 17, 209, 20, 1153, 306, 1626, 537, 900, 141, 197, 2, 9, 0], [1, 2, 17, 210, 11, 1188, 231, 1716, 495, 858, 231, 122, 37, 0, 1], [1, 2, 17, 211, 1, 1233, 111, 1926, 243, 1068, 111, 167, 27, 1, 1], [1, 2, 18, 196, 95, 898, 876, 744, 1503, 150, 546, 52, 33, 6, 0], [1, 2, 18, 197, 85, 943, 756, 954, 1251, 360, 426, 97, 23, 7, 0], [1, 2, 18, 198, 75, 988, 636, 1164, 999, 570, 306, 142, 13, 8, 0], [1, 2, 18, 199, 65, 1033, 516, 1374, 747, 780, 186, 187, 3, 9, 0], [1, 2, 18, 200, 56, 1068, 441, 1464, 705, 738, 276, 112, 38, 0, 1], [1, 2, 18, 201, 46, 1113, 321, 1674, 453, 948, 156, 157, 28, 1, 1], [1, 2, 18, 202, 36, 1158, 201, 1884, 201, 1158, 36, 202, 18, 2, 1], [1, 2, 19, 186, 140, 778, 1086, 492, 1713, 30, 591, 42, 34, 6, 0], [1, 2, 19, 187, 130, 823, 966, 702, 1461, 240, 471, 87, 24, 7, 0], [1, 2, 19, 188, 120, 868, 846, 912, 1209, 450, 351, 132, 14, 8, 0], [1, 2, 19, 189, 110, 913, 726, 1122, 957, 660, 231, 177, 4, 9, 0], [1, 2, 19, 190, 101, 948, 651, 1212, 915, 618, 321, 102, 39, 0, 1], [1, 2, 19, 191, 91, 993, 531, 1422, 663, 828, 201, 147, 29, 1, 1], [1, 2, 19, 192, 81, 1038, 411, 1632, 411, 1038, 81, 192, 19, 2, 1], [1, 2, 20, 177, 175, 703, 1176, 450, 1671, 120, 516, 77, 25, 7, 0], [1, 2, 20, 178, 165, 748, 1056, 660, 1419, 330, 396, 122, 15, 8, 0], [1, 2, 20, 179, 155, 793, 936, 870, 1167, 540, 276, 167, 5, 9, 0], [1, 2, 20, 180, 146, 828, 861, 960, 1125, 498, 366, 92, 40, 0, 1], [1, 2, 20, 181, 136, 873, 741, 1170, 873, 708, 246, 137, 30, 1, 1], [1, 2, 20, 182, 126, 918, 621, 1380, 621, 918, 126, 182, 20, 2, 1], [1, 2, 20, 183, 116, 963, 501, 1590, 369, 1128, 6, 227, 10, 3, 1], [1, 2, 21, 167, 220, 583, 1386, 198, 1881, 0, 561, 67, 26, 7, 0], [1, 2, 21, 168, 210, 628, 1266, 408, 1629, 210, 441, 112, 16, 8, 0], [1, 2, 21, 169, 200, 673, 1146, 618, 1377, 420, 321, 157, 6, 9, 0], [1, 2, 21, 170, 191, 708, 1071, 708, 1335, 378, 411, 82, 41, 0, 1], [1, 2, 21, 171, 181, 753, 951, 918, 1083, 588, 291, 127, 31, 1, 1], [1, 2, 21, 172, 171, 798, 831, 1128, 831, 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