-------
(14, 8192, 9) ALL distance distributions for EXTERNAL point
(9, 8192, 9) has 0 possible DDs: {}
(10, 8192, 9) has 1 possible DDs: {[0, 160, 0, 1920, 0, 4032, 0, 1920, 0, 160, 0]}
(11, 8192, 9) has 9 possible DDs: {[0, 80, 80, 960, 960, 2016, 2016, 960, 960, 80, 80, 0], [0, 81, 70, 1005, 840, 2226, 1764, 1170, 840, 125, 70, 1], [0, 82, 60, 1050, 720, 2436, 1512, 1380, 720, 170, 60, 2], [0, 83, 50, 1095, 600, 2646, 1260, 1590, 600, 215, 50, 3], [0, 84, 40, 1140, 480, 2856, 1008, 1800, 480, 260, 40, 4], [0, 85, 30, 1185, 360, 3066, 756, 2010, 360, 305, 30, 5], [0, 86, 20, 1230, 240, 3276, 504, 2220, 240, 350, 20, 6], [0, 87, 10, 1275, 120, 3486, 252, 2430, 120, 395, 10, 7], [0, 88, 0, 1320, 0, 3696, 0, 2640, 0, 440, 0, 8]}
(12, 8192, 9) has 64 possible DDs: {[0, 33, 150, 205, 1800, 18, 3780, 18, 1800, 205, 150, 33, 0], [0, 34, 140, 250, 1680, 228, 3528, 228, 1680, 250, 140, 34, 0], [0, 35, 130, 295, 1560, 438, 3276, 438, 1560, 295, 130, 35, 0], [0, 35, 131, 285, 1605, 318, 3486, 186, 1770, 175, 175, 25, 1], [0, 36, 120, 340, 1440, 648, 3024, 648, 1440, 340, 120, 36, 0], [0, 36, 121, 330, 1485, 528, 3234, 396, 1650, 220, 165, 26, 1], [0, 36, 122, 320, 1530, 408, 3444, 144, 1860, 100, 210, 16, 2], [0, 37, 110, 385, 1320, 858, 2772, 858, 1320, 385, 110, 37, 0], [0, 37, 111, 375, 1365, 738, 2982, 606, 1530, 265, 155, 27, 1], [0, 37, 112, 365, 1410, 618, 3192, 354, 1740, 145, 200, 17, 2], [0, 37, 113, 355, 1455, 498, 3402, 102, 1950, 25, 245, 7, 3], [0, 38, 100, 430, 1200, 1068, 2520, 1068, 1200, 430, 100, 38, 0], [0, 38, 101, 420, 1245, 948, 2730, 816, 1410, 310, 145, 28, 1], [0, 38, 102, 410, 1290, 828, 2940, 564, 1620, 190, 190, 18, 2], [0, 38, 103, 400, 1335, 708, 3150, 312, 1830, 70, 235, 8, 3], [0, 39, 90, 475, 1080, 1278, 2268, 1278, 1080, 475, 90, 39, 0], [0, 39, 91, 465, 1125, 1158, 2478, 1026, 1290, 355, 135, 29, 1], [0, 39, 92, 455, 1170, 1038, 2688, 774, 1500, 235, 180, 19, 2], [0, 39, 93, 445, 1215, 918, 2898, 522, 1710, 115, 225, 9, 3], [0, 40, 80, 520, 960, 1488, 2016, 1488, 960, 520, 80, 40, 0], [0, 40, 81, 510, 1005, 1368, 2226, 1236, 1170, 400, 125, 30, 1], [0, 40, 82, 500, 1050, 1248, 2436, 984, 1380, 280, 170, 20, 2], [0, 40, 83, 490, 1095, 1128, 2646, 732, 1590, 160, 215, 10, 3], [0, 40, 84, 480, 1140, 1008, 2856, 480, 1800, 40, 260, 0, 4], [0, 41, 70, 565, 840, 1698, 1764, 1698, 840, 565, 70, 41, 0], [0, 41, 71, 555, 885, 1578, 1974, 1446, 1050, 445, 115, 31, 1], [0, 41, 72, 545, 930, 1458, 2184, 1194, 1260, 325, 160, 21, 2], [0, 41, 73, 535, 975, 1338, 2394, 942, 1470, 205, 205, 11, 3], [0, 41, 74, 525, 1020, 1218, 2604, 690, 1680, 85, 250, 1, 4], [0, 42, 60, 610, 720, 1908, 1512, 1908, 720, 610, 60, 42, 0], [0, 42, 61, 600, 765, 1788, 1722, 1656, 930, 490, 105, 32, 1], [0, 42, 62, 590, 810, 1668, 1932, 1404, 1140, 370, 150, 22, 2], [0, 42, 63, 580, 855, 1548, 2142, 1152, 1350, 250, 195, 12, 3], [0, 42, 64, 570, 900, 1428, 2352, 900, 1560, 130, 240, 2, 4], [0, 43, 50, 655, 600, 2118, 1260, 2118, 600, 655, 50, 43, 0], [0, 43, 51, 645, 645, 1998, 1470, 1866, 810, 535, 95, 33, 1], [0, 43, 52, 635, 690, 1878, 1680, 1614, 1020, 415, 140, 23, 2], [0, 43, 53, 625, 735, 1758, 1890, 1362, 1230, 295, 185, 13, 3], [0, 43, 54, 615, 780, 1638, 2100, 1110, 1440, 175, 230, 3, 4], [0, 44, 40, 700, 480, 2328, 1008, 2328, 480, 700, 40, 44, 0], [0, 44, 41, 690, 525, 2208, 1218, 2076, 690, 580, 85, 34, 1], [0, 44, 42, 680, 570, 2088, 1428, 1824, 900, 460, 130, 24, 2], [0, 44, 43, 670, 615, 1968, 1638, 1572, 1110, 340, 175, 14, 3], [0, 44, 44, 660, 660, 1848, 1848, 1320, 1320, 220, 220, 4, 4], [0, 45, 30, 745, 360, 2538, 756, 2538, 360, 745, 30, 45, 0], [0, 45, 31, 735, 405, 2418, 966, 2286, 570, 625, 75, 35, 1], [0, 45, 32, 725, 450, 2298, 1176, 2034, 780, 505, 120, 25, 2], [0, 45, 33, 715, 495, 2178, 1386, 1782, 990, 385, 165, 15, 3], [0, 45, 34, 705, 540, 2058, 1596, 1530, 1200, 265, 210, 5, 4], [0, 46, 20, 790, 240, 2748, 504, 2748, 240, 790, 20, 46, 0], [0, 46, 21, 780, 285, 2628, 714, 2496, 450, 670, 65, 36, 1], [0, 46, 22, 770, 330, 2508, 924, 2244, 660, 550, 110, 26, 2], [0, 46, 23, 760, 375, 2388, 1134, 1992, 870, 430, 155, 16, 3], [0, 46, 24, 750, 420, 2268, 1344, 1740, 1080, 310, 200, 6, 4], [0, 47, 10, 835, 120, 2958, 252, 2958, 120, 835, 10, 47, 0], [0, 47, 11, 825, 165, 2838, 462, 2706, 330, 715, 55, 37, 1], [0, 47, 12, 815, 210, 2718, 672, 2454, 540, 595, 100, 27, 2], [0, 47, 13, 805, 255, 2598, 882, 2202, 750, 475, 145, 17, 3], [0, 47, 14, 795, 300, 2478, 1092, 1950, 960, 355, 190, 7, 4], [0, 48, 0, 880, 0, 3168, 0, 3168, 0, 880, 0, 48, 0], [0, 48, 1, 870, 45, 3048, 210, 2916, 210, 760, 45, 38, 1], [0, 48, 2, 860, 90, 2928, 420, 2664, 420, 640, 90, 28, 2], [0, 48, 3, 850, 135, 2808, 630, 2412, 630, 520, 135, 18, 3], [0, 48, 4, 840, 180, 2688, 840, 2160, 840, 400, 180, 8, 4]}
(13, 8192, 9) has 415 possible DDs: {[0, 12, 132, 20, 1340, 504, 2088, 2088, 504, 1340, 20, 132, 12, 0], [0, 12, 133, 10, 1385, 384, 2298, 1836, 714, 1220, 65, 122, 13, 0], [0, 12, 134, 0, 1430, 264, 2508, 1584, 924, 1100, 110, 112, 14, 0], [0, 13, 122, 65, 1220, 714, 1836, 2298, 384, 1385, 10, 133, 12, 0], [0, 13, 123, 55, 1265, 594, 2046, 2046, 594, 1265, 55, 123, 13, 0], [0, 13, 124, 45, 1310, 474, 2256, 1794, 804, 1145, 100, 113, 14, 0], [0, 13, 125, 35, 1355, 354, 2466, 1542, 1014, 1025, 145, 103, 15, 0], [0, 13, 125, 36, 1345, 399, 2346, 1752, 762, 1235, 25, 148, 5, 1], [0, 13, 126, 25, 1400, 234, 2676, 1290, 1224, 905, 190, 93, 16, 0], [0, 13, 126, 26, 1390, 279, 2556, 1500, 972, 1115, 70, 138, 6, 1], [0, 13, 127, 15, 1445, 114, 2886, 1038, 1434, 785, 235, 83, 17, 0], [0, 13, 127, 16, 1435, 159, 2766, 1248, 1182, 995, 115, 128, 7, 1], [0, 13, 128, 6, 1480, 39, 2976, 996, 1392, 875, 160, 118, 8, 1], [0, 14, 112, 110, 1100, 924, 1584, 2508, 264, 1430, 0, 134, 12, 0], [0, 14, 113, 100, 1145, 804, 1794, 2256, 474, 1310, 45, 124, 13, 0], [0, 14, 114, 90, 1190, 684, 2004, 2004, 684, 1190, 90, 114, 14, 0], [0, 14, 115, 80, 1235, 564, 2214, 1752, 894, 1070, 135, 104, 15, 0], [0, 14, 115, 81, 1225, 609, 2094, 1962, 642, 1280, 15, 149, 5, 1], [0, 14, 116, 70, 1280, 444, 2424, 1500, 1104, 950, 180, 94, 16, 0], [0, 14, 116, 71, 1270, 489, 2304, 1710, 852, 1160, 60, 139, 6, 1], [0, 14, 117, 60, 1325, 324, 2634, 1248, 1314, 830, 225, 84, 17, 0], [0, 14, 117, 61, 1315, 369, 2514, 1458, 1062, 1040, 105, 129, 7, 1], [0, 14, 118, 50, 1370, 204, 2844, 996, 1524, 710, 270, 74, 18, 0], [0, 14, 118, 51, 1360, 249, 2724, 1206, 1272, 920, 150, 119, 8, 1], [0, 14, 119, 40, 1415, 84, 3054, 744, 1734, 590, 315, 64, 19, 0], [0, 14, 119, 41, 1405, 129, 2934, 954, 1482, 800, 195, 109, 9, 1], [0, 14, 120, 31, 1450, 9, 3144, 702, 1692, 680, 240, 99, 10, 1], [0, 14, 120, 32, 1440, 54, 3024, 912, 1440, 890, 120, 144, 0, 2], [0, 15, 103, 145, 1025, 1014, 1542, 2466, 354, 1355, 35, 125, 13, 0], [0, 15, 104, 135, 1070, 894, 1752, 2214, 564, 1235, 80, 115, 14, 0], [0, 15, 105, 125, 1115, 774, 1962, 1962, 774, 1115, 125, 105, 15, 0], [0, 15, 105, 126, 1105, 819, 1842, 2172, 522, 1325, 5, 150, 5, 1], [0, 15, 106, 115, 1160, 654, 2172, 1710, 984, 995, 170, 95, 16, 0], [0, 15, 106, 116, 1150, 699, 2052, 1920, 732, 1205, 50, 140, 6, 1], [0, 15, 107, 105, 1205, 534, 2382, 1458, 1194, 875, 215, 85, 17, 0], [0, 15, 107, 106, 1195, 579, 2262, 1668, 942, 1085, 95, 130, 7, 1], [0, 15, 108, 95, 1250, 414, 2592, 1206, 1404, 755, 260, 75, 18, 0], [0, 15, 108, 96, 1240, 459, 2472, 1416, 1152, 965, 140, 120, 8, 1], [0, 15, 109, 85, 1295, 294, 2802, 954, 1614, 635, 305, 65, 19, 0], [0, 15, 109, 86, 1285, 339, 2682, 1164, 1362, 845, 185, 110, 9, 1], [0, 15, 110, 75, 1340, 174, 3012, 702, 1824, 515, 350, 55, 20, 0], [0, 15, 110, 76, 1330, 219, 2892, 912, 1572, 725, 230, 100, 10, 1], [0, 15, 110, 77, 1320, 264, 2772, 1122, 1320, 935, 110, 145, 0, 2], [0, 15, 111, 65, 1385, 54, 3222, 450, 2034, 395, 395, 45, 21, 0], [0, 15, 111, 66, 1375, 99, 3102, 660, 1782, 605, 275, 90, 11, 1], [0, 15, 111, 67, 1365, 144, 2982, 870, 1530, 815, 155, 135, 1, 2], [0, 15, 112, 57, 1410, 24, 3192, 618, 1740, 695, 200, 125, 2, 2], [0, 16, 93, 190, 905, 1224, 1290, 2676, 234, 1400, 25, 126, 13, 0], [0, 16, 94, 180, 950, 1104, 1500, 2424, 444, 1280, 70, 116, 14, 0], [0, 16, 95, 170, 995, 984, 1710, 2172, 654, 1160, 115, 106, 15, 0], [0, 16, 96, 160, 1040, 864, 1920, 1920, 864, 1040, 160, 96, 16, 0], [0, 16, 96, 161, 1030, 909, 1800, 2130, 612, 1250, 40, 141, 6, 1], [0, 16, 97, 150, 1085, 744, 2130, 1668, 1074, 920, 205, 86, 17, 0], [0, 16, 97, 151, 1075, 789, 2010, 1878, 822, 1130, 85, 131, 7, 1], [0, 16, 98, 140, 1130, 624, 2340, 1416, 1284, 800, 250, 76, 18, 0], [0, 16, 98, 141, 1120, 669, 2220, 1626, 1032, 1010, 130, 121, 8, 1], [0, 16, 99, 130, 1175, 504, 2550, 1164, 1494, 680, 295, 66, 19, 0], [0, 16, 99, 131, 1165, 549, 2430, 1374, 1242, 890, 175, 111, 9, 1], [0, 16, 100, 120, 1220, 384, 2760, 912, 1704, 560, 340, 56, 20, 0], [0, 16, 100, 121, 1210, 429, 2640, 1122, 1452, 770, 220, 101, 10, 1], [0, 16, 100, 122, 1200, 474, 2520, 1332, 1200, 980, 100, 146, 0, 2], [0, 16, 101, 110, 1265, 264, 2970, 660, 1914, 440, 385, 46, 21, 0], [0, 16, 101, 111, 1255, 309, 2850, 870, 1662, 650, 265, 91, 11, 1], [0, 16, 101, 112, 1245, 354, 2730, 1080, 1410, 860, 145, 136, 1, 2], [0, 16, 102, 100, 1310, 144, 3180, 408, 2124, 320, 430, 36, 22, 0], [0, 16, 102, 101, 1300, 189, 3060, 618, 1872, 530, 310, 81, 12, 1], [0, 16, 102, 102, 1290, 234, 2940, 828, 1620, 740, 190, 126, 2, 2], [0, 16, 103, 90, 1355, 24, 3390, 156, 2334, 200, 475, 26, 23, 0], [0, 16, 103, 91, 1345, 69, 3270, 366, 2082, 410, 355, 71, 13, 1], [0, 16, 103, 92, 1335, 114, 3150, 576, 1830, 620, 235, 116, 3, 2], [0, 17, 83, 235, 785, 1434, 1038, 2886, 114, 1445, 15, 127, 13, 0], [0, 17, 84, 225, 830, 1314, 1248, 2634, 324, 1325, 60, 117, 14, 0], [0, 17, 85, 215, 875, 1194, 1458, 2382, 534, 1205, 105, 107, 15, 0], [0, 17, 86, 205, 920, 1074, 1668, 2130, 744, 1085, 150, 97, 16, 0], [0, 17, 86, 206, 910, 1119, 1548, 2340, 492, 1295, 30, 142, 6, 1], [0, 17, 87, 195, 965, 954, 1878, 1878, 954, 965, 195, 87, 17, 0], [0, 17, 87, 196, 955, 999, 1758, 2088, 702, 1175, 75, 132, 7, 1], [0, 17, 88, 185, 1010, 834, 2088, 1626, 1164, 845, 240, 77, 18, 0], [0, 17, 88, 186, 1000, 879, 1968, 1836, 912, 1055, 120, 122, 8, 1], [0, 17, 89, 175, 1055, 714, 2298, 1374, 1374, 725, 285, 67, 19, 0], [0, 17, 89, 176, 1045, 759, 2178, 1584, 1122, 935, 165, 112, 9, 1], [0, 17, 90, 165, 1100, 594, 2508, 1122, 1584, 605, 330, 57, 20, 0], [0, 17, 90, 166, 1090, 639, 2388, 1332, 1332, 815, 210, 102, 10, 1], [0, 17, 90, 167, 1080, 684, 2268, 1542, 1080, 1025, 90, 147, 0, 2], [0, 17, 91, 155, 1145, 474, 2718, 870, 1794, 485, 375, 47, 21, 0], [0, 17, 91, 156, 1135, 519, 2598, 1080, 1542, 695, 255, 92, 11, 1], [0, 17, 91, 157, 1125, 564, 2478, 1290, 1290, 905, 135, 137, 1, 2], [0, 17, 92, 145, 1190, 354, 2928, 618, 2004, 365, 420, 37, 22, 0], [0, 17, 92, 146, 1180, 399, 2808, 828, 1752, 575, 300, 82, 12, 1], [0, 17, 92, 147, 1170, 444, 2688, 1038, 1500, 785, 180, 127, 2, 2], [0, 17, 93, 135, 1235, 234, 3138, 366, 2214, 245, 465, 27, 23, 0], [0, 17, 93, 136, 1225, 279, 3018, 576, 1962, 455, 345, 72, 13, 1], [0, 17, 93, 137, 1215, 324, 2898, 786, 1710, 665, 225, 117, 3, 2], [0, 17, 94, 125, 1280, 114, 3348, 114, 2424, 125, 510, 17, 24, 0], [0, 17, 94, 126, 1270, 159, 3228, 324, 2172, 335, 390, 62, 14, 1], [0, 17, 94, 127, 1260, 204, 3108, 534, 1920, 545, 270, 107, 4, 2], [0, 17, 95, 116, 1315, 39, 3438, 72, 2382, 215, 435, 52, 15, 1], [0, 17, 95, 117, 1305, 84, 3318, 282, 2130, 425, 315, 97, 5, 2], [0, 18, 74, 270, 710, 1524, 996, 2844, 204, 1370, 50, 118, 14, 0], [0, 18, 75, 260, 755, 1404, 1206, 2592, 414, 1250, 95, 108, 15, 0], [0, 18, 76, 250, 800, 1284, 1416, 2340, 624, 1130, 140, 98, 16, 0], [0, 18, 76, 251, 790, 1329, 1296, 2550, 372, 1340, 20, 143, 6, 1], [0, 18, 77, 240, 845, 1164, 1626, 2088, 834, 1010, 185, 88, 17, 0], [0, 18, 77, 241, 835, 1209, 1506, 2298, 582, 1220, 65, 133, 7, 1], [0, 18, 78, 230, 890, 1044, 1836, 1836, 1044, 890, 230, 78, 18, 0], [0, 18, 78, 231, 880, 1089, 1716, 2046, 792, 1100, 110, 123, 8, 1], [0, 18, 79, 220, 935, 924, 2046, 1584, 1254, 770, 275, 68, 19, 0], [0, 18, 79, 221, 925, 969, 1926, 1794, 1002, 980, 155, 113, 9, 1], [0, 18, 80, 210, 980, 804, 2256, 1332, 1464, 650, 320, 58, 20, 0], [0, 18, 80, 211, 970, 849, 2136, 1542, 1212, 860, 200, 103, 10, 1], [0, 18, 80, 212, 960, 894, 2016, 1752, 960, 1070, 80, 148, 0, 2], [0, 18, 81, 200, 1025, 684, 2466, 1080, 1674, 530, 365, 48, 21, 0], [0, 18, 81, 201, 1015, 729, 2346, 1290, 1422, 740, 245, 93, 11, 1], [0, 18, 81, 202, 1005, 774, 2226, 1500, 1170, 950, 125, 138, 1, 2], [0, 18, 82, 190, 1070, 564, 2676, 828, 1884, 410, 410, 38, 22, 0], [0, 18, 82, 191, 1060, 609, 2556, 1038, 1632, 620, 290, 83, 12, 1], [0, 18, 82, 192, 1050, 654, 2436, 1248, 1380, 830, 170, 128, 2, 2], [0, 18, 83, 180, 1115, 444, 2886, 576, 2094, 290, 455, 28, 23, 0], [0, 18, 83, 181, 1105, 489, 2766, 786, 1842, 500, 335, 73, 13, 1], [0, 18, 83, 182, 1095, 534, 2646, 996, 1590, 710, 215, 118, 3, 2], [0, 18, 84, 170, 1160, 324, 3096, 324, 2304, 170, 500, 18, 24, 0], [0, 18, 84, 171, 1150, 369, 2976, 534, 2052, 380, 380, 63, 14, 1], [0, 18, 84, 172, 1140, 414, 2856, 744, 1800, 590, 260, 108, 4, 2], [0, 18, 85, 160, 1205, 204, 3306, 72, 2514, 50, 545, 8, 25, 0], [0, 18, 85, 161, 1195, 249, 3186, 282, 2262, 260, 425, 53, 15, 1], [0, 18, 85, 162, 1185, 294, 3066, 492, 2010, 470, 305, 98, 5, 2], [0, 18, 86, 151, 1240, 129, 3396, 30, 2472, 140, 470, 43, 16, 1], [0, 18, 86, 152, 1230, 174, 3276, 240, 2220, 350, 350, 88, 6, 2], [0, 19, 64, 315, 590, 1734, 744, 3054, 84, 1415, 40, 119, 14, 0], [0, 19, 65, 305, 635, 1614, 954, 2802, 294, 1295, 85, 109, 15, 0], [0, 19, 66, 295, 680, 1494, 1164, 2550, 504, 1175, 130, 99, 16, 0], [0, 19, 66, 296, 670, 1539, 1044, 2760, 252, 1385, 10, 144, 6, 1], [0, 19, 67, 285, 725, 1374, 1374, 2298, 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3], [0, 26, 0, 570, 20, 2484, 240, 3012, 504, 1010, 240, 66, 20, 0], [0, 26, 0, 571, 10, 2529, 120, 3222, 252, 1220, 120, 111, 10, 1], [0, 26, 0, 572, 0, 2574, 0, 3432, 0, 1430, 0, 156, 0, 2], [0, 26, 1, 560, 65, 2364, 450, 2760, 714, 890, 285, 56, 21, 0], [0, 26, 1, 561, 55, 2409, 330, 2970, 462, 1100, 165, 101, 11, 1], [0, 26, 1, 562, 45, 2454, 210, 3180, 210, 1310, 45, 146, 1, 2], [0, 26, 2, 550, 110, 2244, 660, 2508, 924, 770, 330, 46, 22, 0], [0, 26, 2, 551, 100, 2289, 540, 2718, 672, 980, 210, 91, 12, 1], [0, 26, 2, 552, 90, 2334, 420, 2928, 420, 1190, 90, 136, 2, 2], [0, 26, 3, 540, 155, 2124, 870, 2256, 1134, 650, 375, 36, 23, 0], [0, 26, 3, 541, 145, 2169, 750, 2466, 882, 860, 255, 81, 13, 1], [0, 26, 3, 542, 135, 2214, 630, 2676, 630, 1070, 135, 126, 3, 2], [0, 26, 4, 530, 200, 2004, 1080, 2004, 1344, 530, 420, 26, 24, 0], [0, 26, 4, 531, 190, 2049, 960, 2214, 1092, 740, 300, 71, 14, 1], [0, 26, 4, 532, 180, 2094, 840, 2424, 840, 950, 180, 116, 4, 2], [0, 26, 5, 520, 245, 1884, 1290, 1752, 1554, 410, 465, 16, 25, 0], [0, 26, 5, 521, 235, 1929, 1170, 1962, 1302, 620, 345, 61, 15, 1], [0, 26, 5, 522, 225, 1974, 1050, 2172, 1050, 830, 225, 106, 5, 2], [0, 26, 6, 510, 290, 1764, 1500, 1500, 1764, 290, 510, 6, 26, 0], [0, 26, 6, 511, 280, 1809, 1380, 1710, 1512, 500, 390, 51, 16, 1], [0, 26, 6, 512, 270, 1854, 1260, 1920, 1260, 710, 270, 96, 6, 2], [0, 26, 7, 501, 325, 1689, 1590, 1458, 1722, 380, 435, 41, 17, 1], [0, 26, 7, 502, 315, 1734, 1470, 1668, 1470, 590, 315, 86, 7, 2], [0, 26, 8, 491, 370, 1569, 1800, 1206, 1932, 260, 480, 31, 18, 1], [0, 26, 8, 492, 360, 1614, 1680, 1416, 1680, 470, 360, 76, 8, 2], [0, 26, 9, 481, 415, 1449, 2010, 954, 2142, 140, 525, 21, 19, 1], [0, 26, 9, 482, 405, 1494, 1890, 1164, 1890, 350, 405, 66, 9, 2], [0, 26, 10, 471, 460, 1329, 2220, 702, 2352, 20, 570, 11, 20, 1], [0, 26, 10, 472, 450, 1374, 2100, 912, 2100, 230, 450, 56, 10, 2], [0, 26, 10, 473, 440, 1419, 1980, 1122, 1848, 440, 330, 101, 0, 3], [0, 26, 11, 462, 495, 1254, 2310, 660, 2310, 110, 495, 46, 11, 2], [0, 26, 11, 463, 485, 1299, 2190, 870, 2058, 320, 375, 91, 1, 3], [0, 26, 12, 453, 530, 1179, 2400, 618, 2268, 200, 420, 81, 2, 3], [0, 26, 13, 443, 575, 1059, 2610, 366, 2478, 80, 465, 71, 3, 3], [0, 27, 0, 516, 340, 1539, 1968, 912, 2232, 65, 560, 12, 20, 1], [0, 27, 0, 517, 330, 1584, 1848, 1122, 1980, 275, 440, 57, 10, 2], [0, 27, 0, 518, 320, 1629, 1728, 1332, 1728, 485, 320, 102, 0, 3], [0, 27, 1, 507, 375, 1464, 2058, 870, 2190, 155, 485, 47, 11, 2], [0, 27, 1, 508, 365, 1509, 1938, 1080, 1938, 365, 365, 92, 1, 3], [0, 27, 2, 497, 420, 1344, 2268, 618, 2400, 35, 530, 37, 12, 2], [0, 27, 2, 498, 410, 1389, 2148, 828, 2148, 245, 410, 82, 2, 3], [0, 27, 3, 488, 455, 1269, 2358, 576, 2358, 125, 455, 72, 3, 3], [0, 27, 4, 478, 500, 1149, 2568, 324, 2568, 5, 500, 62, 4, 3]}
(14, 8192, 9) has 2286 possible DDs: {[0, 2, 99, 22, 615, 1462, 54, 3684, 54, 1462, 615, 22, 99, 2, 0], [0, 2, 100, 12, 660, 1342, 264, 3432, 264, 1342, 660, 12, 100, 2, 0], [0, 2, 100, 13, 650, 1387, 144, 3642, 12, 1552, 540, 57, 90, 3, 0], [0, 2, 101, 2, 705, 1222, 474, 3180, 474, 1222, 705, 2, 101, 2, 0], [0, 2, 101, 3, 695, 1267, 354, 3390, 222, 1432, 585, 47, 91, 3, 0], [0, 3, 90, 57, 540, 1552, 12, 3642, 144, 1387, 650, 13, 100, 2, 0], [0, 3, 91, 47, 585, 1432, 222, 3390, 354, 1267, 695, 3, 101, 2, 0], [0, 3, 91, 48, 575, 1477, 102, 3600, 102, 1477, 575, 48, 91, 3, 0], [0, 3, 92, 38, 620, 1357, 312, 3348, 312, 1357, 620, 38, 92, 3, 0], [0, 3, 92, 39, 610, 1402, 192, 3558, 60, 1567, 500, 83, 82, 4, 0], [0, 3, 93, 28, 665, 1237, 522, 3096, 522, 1237, 665, 28, 93, 3, 0], [0, 3, 93, 29, 655, 1282, 402, 3306, 270, 1447, 545, 73, 83, 4, 0], [0, 3, 93, 30, 645, 1327, 282, 3516, 18, 1657, 425, 118, 73, 5, 0], [0, 3, 94, 18, 710, 1117, 732, 2844, 732, 1117, 710, 18, 94, 3, 0], [0, 3, 94, 19, 700, 1162, 612, 3054, 480, 1327, 590, 63, 84, 4, 0], [0, 3, 94, 20, 690, 1207, 492, 3264, 228, 1537, 470, 108, 74, 5, 0], [0, 3, 95, 8, 755, 997, 942, 2592, 942, 997, 755, 8, 95, 3, 0], [0, 3, 95, 9, 745, 1042, 822, 2802, 690, 1207, 635, 53, 85, 4, 0], [0, 3, 95, 10, 735, 1087, 702, 3012, 438, 1417, 515, 98, 75, 5, 0], [0, 3, 95, 11, 725, 1132, 582, 3222, 186, 1627, 395, 143, 65, 6, 0], [0, 3, 96, 0, 780, 967, 912, 2760, 648, 1297, 560, 88, 76, 5, 0], [0, 3, 96, 1, 770, 1012, 792, 2970, 396, 1507, 440, 133, 66, 6, 0], [0, 3, 96, 2, 760, 1057, 672, 3180, 144, 1717, 320, 178, 56, 7, 0], [0, 4, 82, 83, 500, 1567, 60, 3558, 192, 1402, 610, 39, 92, 3, 0], [0, 4, 83, 73, 545, 1447, 270, 3306, 402, 1282, 655, 29, 93, 3, 0], [0, 4, 83, 74, 535, 1492, 150, 3516, 150, 1492, 535, 74, 83, 4, 0], [0, 4, 84, 63, 590, 1327, 480, 3054, 612, 1162, 700, 19, 94, 3, 0], [0, 4, 84, 64, 580, 1372, 360, 3264, 360, 1372, 580, 64, 84, 4, 0], [0, 4, 84, 65, 570, 1417, 240, 3474, 108, 1582, 460, 109, 74, 5, 0], [0, 4, 85, 53, 635, 1207, 690, 2802, 822, 1042, 745, 9, 95, 3, 0], [0, 4, 85, 54, 625, 1252, 570, 3012, 570, 1252, 625, 54, 85, 4, 0], [0, 4, 85, 55, 615, 1297, 450, 3222, 318, 1462, 505, 99, 75, 5, 0], [0, 4, 85, 56, 605, 1342, 330, 3432, 66, 1672, 385, 144, 65, 6, 0], [0, 4, 86, 44, 670, 1132, 780, 2760, 780, 1132, 670, 44, 86, 4, 0], [0, 4, 86, 45, 660, 1177, 660, 2970, 528, 1342, 550, 89, 76, 5, 0], [0, 4, 86, 46, 650, 1222, 540, 3180, 276, 1552, 430, 134, 66, 6, 0], [0, 4, 86, 47, 640, 1267, 420, 3390, 24, 1762, 310, 179, 56, 7, 0], [0, 4, 87, 34, 715, 1012, 990, 2508, 990, 1012, 715, 34, 87, 4, 0], [0, 4, 87, 35, 705, 1057, 870, 2718, 738, 1222, 595, 79, 77, 5, 0], [0, 4, 87, 36, 695, 1102, 750, 2928, 486, 1432, 475, 124, 67, 6, 0], [0, 4, 87, 37, 685, 1147, 630, 3138, 234, 1642, 355, 169, 57, 7, 0], [0, 4, 88, 24, 760, 892, 1200, 2256, 1200, 892, 760, 24, 88, 4, 0], [0, 4, 88, 25, 750, 937, 1080, 2466, 948, 1102, 640, 69, 78, 5, 0], [0, 4, 88, 26, 740, 982, 960, 2676, 696, 1312, 520, 114, 68, 6, 0], [0, 4, 88, 27, 730, 1027, 840, 2886, 444, 1522, 400, 159, 58, 7, 0], [0, 4, 88, 28, 720, 1072, 720, 3096, 192, 1732, 280, 204, 48, 8, 0], [0, 4, 89, 14, 805, 772, 1410, 2004, 1410, 772, 805, 14, 89, 4, 0], [0, 4, 89, 15, 795, 817, 1290, 2214, 1158, 982, 685, 59, 79, 5, 0], [0, 4, 89, 16, 785, 862, 1170, 2424, 906, 1192, 565, 104, 69, 6, 0], [0, 4, 89, 17, 775, 907, 1050, 2634, 654, 1402, 445, 149, 59, 7, 0], [0, 4, 89, 18, 765, 952, 930, 2844, 402, 1612, 325, 194, 49, 8, 0], [0, 4, 89, 19, 755, 997, 810, 3054, 150, 1822, 205, 239, 39, 9, 0], [0, 4, 89, 20, 746, 1032, 735, 3144, 108, 1780, 295, 164, 74, 0, 1], [0, 4, 90, 4, 850, 652, 1620, 1752, 1620, 652, 850, 4, 90, 4, 0], [0, 4, 90, 5, 840, 697, 1500, 1962, 1368, 862, 730, 49, 80, 5, 0], [0, 4, 90, 6, 830, 742, 1380, 2172, 1116, 1072, 610, 94, 70, 6, 0], [0, 4, 90, 7, 820, 787, 1260, 2382, 864, 1282, 490, 139, 60, 7, 0], [0, 4, 90, 8, 810, 832, 1140, 2592, 612, 1492, 370, 184, 50, 8, 0], [0, 4, 90, 9, 800, 877, 1020, 2802, 360, 1702, 250, 229, 40, 9, 0], [0, 4, 90, 10, 790, 922, 900, 3012, 108, 1912, 130, 274, 30, 10, 0], [0, 4, 90, 10, 791, 912, 945, 2892, 318, 1660, 340, 154, 75, 0, 1], [0, 4, 90, 11, 781, 957, 825, 3102, 66, 1870, 220, 199, 65, 1, 1], [0, 4, 91, 0, 835, 802, 1110, 2760, 318, 1792, 175, 264, 31, 10, 0], [0, 4, 91, 0, 836, 792, 1155, 2640, 528, 1540, 385, 144, 76, 0, 1], [0, 4, 91, 1, 825, 847, 990, 2970, 66, 2002, 55, 309, 21, 11, 0], [0, 4, 91, 1, 826, 837, 1035, 2850, 276, 1750, 265, 189, 66, 1, 1], [0, 4, 91, 2, 816, 882, 915, 3060, 24, 1960, 145, 234, 56, 2, 1], [0, 5, 73, 118, 425, 1657, 18, 3516, 282, 1327, 645, 30, 93, 3, 0], [0, 5, 74, 108, 470, 1537, 228, 3264, 492, 1207, 690, 20, 94, 3, 0], [0, 5, 74, 109, 460, 1582, 108, 3474, 240, 1417, 570, 65, 84, 4, 0], [0, 5, 75, 98, 515, 1417, 438, 3012, 702, 1087, 735, 10, 95, 3, 0], [0, 5, 75, 99, 505, 1462, 318, 3222, 450, 1297, 615, 55, 85, 4, 0], [0, 5, 75, 100, 495, 1507, 198, 3432, 198, 1507, 495, 100, 75, 5, 0], [0, 5, 76, 88, 560, 1297, 648, 2760, 912, 967, 780, 0, 96, 3, 0], [0, 5, 76, 89, 550, 1342, 528, 2970, 660, 1177, 660, 45, 86, 4, 0], [0, 5, 76, 90, 540, 1387, 408, 3180, 408, 1387, 540, 90, 76, 5, 0], [0, 5, 76, 91, 530, 1432, 288, 3390, 156, 1597, 420, 135, 66, 6, 0], [0, 5, 77, 79, 595, 1222, 738, 2718, 870, 1057, 705, 35, 87, 4, 0], [0, 5, 77, 80, 585, 1267, 618, 2928, 618, 1267, 585, 80, 77, 5, 0], [0, 5, 77, 81, 575, 1312, 498, 3138, 366, 1477, 465, 125, 67, 6, 0], [0, 5, 77, 82, 565, 1357, 378, 3348, 114, 1687, 345, 170, 57, 7, 0], [0, 5, 78, 69, 640, 1102, 948, 2466, 1080, 937, 750, 25, 88, 4, 0], [0, 5, 78, 70, 630, 1147, 828, 2676, 828, 1147, 630, 70, 78, 5, 0], [0, 5, 78, 71, 620, 1192, 708, 2886, 576, 1357, 510, 115, 68, 6, 0], [0, 5, 78, 72, 610, 1237, 588, 3096, 324, 1567, 390, 160, 58, 7, 0], [0, 5, 78, 73, 600, 1282, 468, 3306, 72, 1777, 270, 205, 48, 8, 0], [0, 5, 79, 59, 685, 982, 1158, 2214, 1290, 817, 795, 15, 89, 4, 0], [0, 5, 79, 60, 675, 1027, 1038, 2424, 1038, 1027, 675, 60, 79, 5, 0], [0, 5, 79, 61, 665, 1072, 918, 2634, 786, 1237, 555, 105, 69, 6, 0], [0, 5, 79, 62, 655, 1117, 798, 2844, 534, 1447, 435, 150, 59, 7, 0], [0, 5, 79, 63, 645, 1162, 678, 3054, 282, 1657, 315, 195, 49, 8, 0], [0, 5, 79, 64, 635, 1207, 558, 3264, 30, 1867, 195, 240, 39, 9, 0], [0, 5, 80, 49, 730, 862, 1368, 1962, 1500, 697, 840, 5, 90, 4, 0], [0, 5, 80, 50, 720, 907, 1248, 2172, 1248, 907, 720, 50, 80, 5, 0], [0, 5, 80, 51, 710, 952, 1128, 2382, 996, 1117, 600, 95, 70, 6, 0], [0, 5, 80, 52, 700, 997, 1008, 2592, 744, 1327, 480, 140, 60, 7, 0], [0, 5, 80, 53, 690, 1042, 888, 2802, 492, 1537, 360, 185, 50, 8, 0], [0, 5, 80, 54, 680, 1087, 768, 3012, 240, 1747, 240, 230, 40, 9, 0], [0, 5, 80, 55, 671, 1122, 693, 3102, 198, 1705, 330, 155, 75, 0, 1], [0, 5, 81, 40, 765, 787, 1458, 1920, 1458, 787, 765, 40, 81, 5, 0], [0, 5, 81, 41, 755, 832, 1338, 2130, 1206, 997, 645, 85, 71, 6, 0], [0, 5, 81, 42, 745, 877, 1218, 2340, 954, 1207, 525, 130, 61, 7, 0], [0, 5, 81, 43, 735, 922, 1098, 2550, 702, 1417, 405, 175, 51, 8, 0], [0, 5, 81, 44, 725, 967, 978, 2760, 450, 1627, 285, 220, 41, 9, 0], [0, 5, 81, 45, 715, 1012, 858, 2970, 198, 1837, 165, 265, 31, 10, 0], [0, 5, 81, 45, 716, 1002, 903, 2850, 408, 1585, 375, 145, 76, 0, 1], [0, 5, 81, 46, 706, 1047, 783, 3060, 156, 1795, 255, 190, 66, 1, 1], [0, 5, 82, 30, 810, 667, 1668, 1668, 1668, 667, 810, 30, 82, 5, 0], [0, 5, 82, 31, 800, 712, 1548, 1878, 1416, 877, 690, 75, 72, 6, 0], [0, 5, 82, 32, 790, 757, 1428, 2088, 1164, 1087, 570, 120, 62, 7, 0], [0, 5, 82, 33, 780, 802, 1308, 2298, 912, 1297, 450, 165, 52, 8, 0], [0, 5, 82, 34, 770, 847, 1188, 2508, 660, 1507, 330, 210, 42, 9, 0], [0, 5, 82, 35, 760, 892, 1068, 2718, 408, 1717, 210, 255, 32, 10, 0], [0, 5, 82, 35, 761, 882, 1113, 2598, 618, 1465, 420, 135, 77, 0, 1], [0, 5, 82, 36, 750, 937, 948, 2928, 156, 1927, 90, 300, 22, 11, 0], [0, 5, 82, 36, 751, 927, 993, 2808, 366, 1675, 300, 180, 67, 1, 1], [0, 5, 82, 37, 741, 972, 873, 3018, 114, 1885, 180, 225, 57, 2, 1], [0, 5, 83, 20, 855, 547, 1878, 1416, 1878, 547, 855, 20, 83, 5, 0], [0, 5, 83, 21, 845, 592, 1758, 1626, 1626, 757, 735, 65, 73, 6, 0], [0, 5, 83, 22, 835, 637, 1638, 1836, 1374, 967, 615, 110, 63, 7, 0], [0, 5, 83, 23, 825, 682, 1518, 2046, 1122, 1177, 495, 155, 53, 8, 0], [0, 5, 83, 24, 815, 727, 1398, 2256, 870, 1387, 375, 200, 43, 9, 0], [0, 5, 83, 25, 805, 772, 1278, 2466, 618, 1597, 255, 245, 33, 10, 0], [0, 5, 83, 25, 806, 762, 1323, 2346, 828, 1345, 465, 125, 78, 0, 1], [0, 5, 83, 26, 795, 817, 1158, 2676, 366, 1807, 135, 290, 23, 11, 0], [0, 5, 83, 26, 796, 807, 1203, 2556, 576, 1555, 345, 170, 68, 1, 1], [0, 5, 83, 27, 785, 862, 1038, 2886, 114, 2017, 15, 335, 13, 12, 0], [0, 5, 83, 27, 786, 852, 1083, 2766, 324, 1765, 225, 215, 58, 2, 1], [0, 5, 83, 28, 776, 897, 963, 2976, 72, 1975, 105, 260, 48, 3, 1], [0, 5, 84, 10, 900, 427, 2088, 1164, 2088, 427, 900, 10, 84, 5, 0], [0, 5, 84, 11, 890, 472, 1968, 1374, 1836, 637, 780, 55, 74, 6, 0], [0, 5, 84, 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