-------
(14, 5632, 9) ALL distance distributions for EXTERNAL point
(9, 5632, 9) has 0 possible DDs: {}
(10, 5632, 9) has 1 possible DDs: {[0, 110, 0, 1320, 0, 2772, 0, 1320, 0, 110, 0]}
(11, 5632, 9) has 6 possible DDs: {[0, 55, 55, 660, 660, 1386, 1386, 660, 660, 55, 55, 0], [0, 56, 45, 705, 540, 1596, 1134, 870, 540, 100, 45, 1], [0, 57, 35, 750, 420, 1806, 882, 1080, 420, 145, 35, 2], [0, 58, 25, 795, 300, 2016, 630, 1290, 300, 190, 25, 3], [0, 59, 15, 840, 180, 2226, 378, 1500, 180, 235, 15, 4], [0, 60, 5, 885, 60, 2436, 126, 1710, 60, 280, 5, 5]}
(12, 5632, 9) has 33 possible DDs: {[0, 23, 100, 155, 1200, 78, 2520, 78, 1200, 155, 100, 23, 0], [0, 24, 90, 200, 1080, 288, 2268, 288, 1080, 200, 90, 24, 0], [0, 24, 91, 190, 1125, 168, 2478, 36, 1290, 80, 135, 14, 1], [0, 25, 80, 245, 960, 498, 2016, 498, 960, 245, 80, 25, 0], [0, 25, 81, 235, 1005, 378, 2226, 246, 1170, 125, 125, 15, 1], [0, 26, 70, 290, 840, 708, 1764, 708, 840, 290, 70, 26, 0], [0, 26, 71, 280, 885, 588, 1974, 456, 1050, 170, 115, 16, 1], [0, 26, 72, 270, 930, 468, 2184, 204, 1260, 50, 160, 6, 2], [0, 27, 60, 335, 720, 918, 1512, 918, 720, 335, 60, 27, 0], [0, 27, 61, 325, 765, 798, 1722, 666, 930, 215, 105, 17, 1], [0, 27, 62, 315, 810, 678, 1932, 414, 1140, 95, 150, 7, 2], [0, 28, 50, 380, 600, 1128, 1260, 1128, 600, 380, 50, 28, 0], [0, 28, 51, 370, 645, 1008, 1470, 876, 810, 260, 95, 18, 1], [0, 28, 52, 360, 690, 888, 1680, 624, 1020, 140, 140, 8, 2], [0, 29, 40, 425, 480, 1338, 1008, 1338, 480, 425, 40, 29, 0], [0, 29, 41, 415, 525, 1218, 1218, 1086, 690, 305, 85, 19, 1], [0, 29, 42, 405, 570, 1098, 1428, 834, 900, 185, 130, 9, 2], [0, 30, 30, 470, 360, 1548, 756, 1548, 360, 470, 30, 30, 0], [0, 30, 31, 460, 405, 1428, 966, 1296, 570, 350, 75, 20, 1], [0, 30, 32, 450, 450, 1308, 1176, 1044, 780, 230, 120, 10, 2], [0, 30, 33, 440, 495, 1188, 1386, 792, 990, 110, 165, 0, 3], [0, 31, 20, 515, 240, 1758, 504, 1758, 240, 515, 20, 31, 0], [0, 31, 21, 505, 285, 1638, 714, 1506, 450, 395, 65, 21, 1], [0, 31, 22, 495, 330, 1518, 924, 1254, 660, 275, 110, 11, 2], [0, 31, 23, 485, 375, 1398, 1134, 1002, 870, 155, 155, 1, 3], [0, 32, 10, 560, 120, 1968, 252, 1968, 120, 560, 10, 32, 0], [0, 32, 11, 550, 165, 1848, 462, 1716, 330, 440, 55, 22, 1], [0, 32, 12, 540, 210, 1728, 672, 1464, 540, 320, 100, 12, 2], [0, 32, 13, 530, 255, 1608, 882, 1212, 750, 200, 145, 2, 3], [0, 33, 0, 605, 0, 2178, 0, 2178, 0, 605, 0, 33, 0], [0, 33, 1, 595, 45, 2058, 210, 1926, 210, 485, 45, 23, 1], [0, 33, 2, 585, 90, 1938, 420, 1674, 420, 365, 90, 13, 2], [0, 33, 3, 575, 135, 1818, 630, 1422, 630, 245, 135, 3, 3]}
(13, 5632, 9) has 145 possible DDs: {[0, 8, 93, 5, 940, 324, 1446, 1446, 324, 940, 5, 93, 8, 0], [0, 9, 84, 40, 865, 414, 1404, 1404, 414, 865, 40, 84, 9, 0], [0, 9, 85, 30, 910, 294, 1614, 1152, 624, 745, 85, 74, 10, 0], [0, 9, 86, 20, 955, 174, 1824, 900, 834, 625, 130, 64, 11, 0], [0, 9, 86, 21, 945, 219, 1704, 1110, 582, 835, 10, 109, 1, 1], [0, 9, 87, 10, 1000, 54, 2034, 648, 1044, 505, 175, 54, 12, 0], [0, 9, 87, 11, 990, 99, 1914, 858, 792, 715, 55, 99, 2, 1], [0, 10, 74, 85, 745, 624, 1152, 1614, 294, 910, 30, 85, 9, 0], [0, 10, 75, 75, 790, 504, 1362, 1362, 504, 790, 75, 75, 10, 0], [0, 10, 76, 65, 835, 384, 1572, 1110, 714, 670, 120, 65, 11, 0], [0, 10, 76, 66, 825, 429, 1452, 1320, 462, 880, 0, 110, 1, 1], [0, 10, 77, 55, 880, 264, 1782, 858, 924, 550, 165, 55, 12, 0], [0, 10, 77, 56, 870, 309, 1662, 1068, 672, 760, 45, 100, 2, 1], [0, 10, 78, 45, 925, 144, 1992, 606, 1134, 430, 210, 45, 13, 0], [0, 10, 78, 46, 915, 189, 1872, 816, 882, 640, 90, 90, 3, 1], [0, 10, 79, 35, 970, 24, 2202, 354, 1344, 310, 255, 35, 14, 0], [0, 10, 79, 36, 960, 69, 2082, 564, 1092, 520, 135, 80, 4, 1], [0, 11, 64, 130, 625, 834, 900, 1824, 174, 955, 20, 86, 9, 0], [0, 11, 65, 120, 670, 714, 1110, 1572, 384, 835, 65, 76, 10, 0], [0, 11, 66, 110, 715, 594, 1320, 1320, 594, 715, 110, 66, 11, 0], [0, 11, 67, 100, 760, 474, 1530, 1068, 804, 595, 155, 56, 12, 0], [0, 11, 67, 101, 750, 519, 1410, 1278, 552, 805, 35, 101, 2, 1], [0, 11, 68, 90, 805, 354, 1740, 816, 1014, 475, 200, 46, 13, 0], [0, 11, 68, 91, 795, 399, 1620, 1026, 762, 685, 80, 91, 3, 1], [0, 11, 69, 80, 850, 234, 1950, 564, 1224, 355, 245, 36, 14, 0], [0, 11, 69, 81, 840, 279, 1830, 774, 972, 565, 125, 81, 4, 1], [0, 11, 70, 70, 895, 114, 2160, 312, 1434, 235, 290, 26, 15, 0], [0, 11, 70, 71, 885, 159, 2040, 522, 1182, 445, 170, 71, 5, 1], [0, 11, 71, 61, 930, 39, 2250, 270, 1392, 325, 215, 61, 6, 1], [0, 12, 54, 175, 505, 1044, 648, 2034, 54, 1000, 10, 87, 9, 0], [0, 12, 55, 165, 550, 924, 858, 1782, 264, 880, 55, 77, 10, 0], [0, 12, 56, 155, 595, 804, 1068, 1530, 474, 760, 100, 67, 11, 0], [0, 12, 57, 145, 640, 684, 1278, 1278, 684, 640, 145, 57, 12, 0], [0, 12, 57, 146, 630, 729, 1158, 1488, 432, 850, 25, 102, 2, 1], [0, 12, 58, 135, 685, 564, 1488, 1026, 894, 520, 190, 47, 13, 0], [0, 12, 58, 136, 675, 609, 1368, 1236, 642, 730, 70, 92, 3, 1], [0, 12, 59, 125, 730, 444, 1698, 774, 1104, 400, 235, 37, 14, 0], [0, 12, 59, 126, 720, 489, 1578, 984, 852, 610, 115, 82, 4, 1], [0, 12, 60, 115, 775, 324, 1908, 522, 1314, 280, 280, 27, 15, 0], [0, 12, 60, 116, 765, 369, 1788, 732, 1062, 490, 160, 72, 5, 1], [0, 12, 61, 105, 820, 204, 2118, 270, 1524, 160, 325, 17, 16, 0], [0, 12, 61, 106, 810, 249, 1998, 480, 1272, 370, 205, 62, 6, 1], [0, 12, 62, 95, 865, 84, 2328, 18, 1734, 40, 370, 7, 17, 0], [0, 12, 62, 96, 855, 129, 2208, 228, 1482, 250, 250, 52, 7, 1], [0, 13, 45, 210, 430, 1134, 606, 1992, 144, 925, 45, 78, 10, 0], [0, 13, 46, 200, 475, 1014, 816, 1740, 354, 805, 90, 68, 11, 0], [0, 13, 47, 190, 520, 894, 1026, 1488, 564, 685, 135, 58, 12, 0], [0, 13, 47, 191, 510, 939, 906, 1698, 312, 895, 15, 103, 2, 1], [0, 13, 48, 180, 565, 774, 1236, 1236, 774, 565, 180, 48, 13, 0], [0, 13, 48, 181, 555, 819, 1116, 1446, 522, 775, 60, 93, 3, 1], [0, 13, 49, 170, 610, 654, 1446, 984, 984, 445, 225, 38, 14, 0], [0, 13, 49, 171, 600, 699, 1326, 1194, 732, 655, 105, 83, 4, 1], [0, 13, 50, 160, 655, 534, 1656, 732, 1194, 325, 270, 28, 15, 0], [0, 13, 50, 161, 645, 579, 1536, 942, 942, 535, 150, 73, 5, 1], [0, 13, 51, 150, 700, 414, 1866, 480, 1404, 205, 315, 18, 16, 0], [0, 13, 51, 151, 690, 459, 1746, 690, 1152, 415, 195, 63, 6, 1], [0, 13, 52, 140, 745, 294, 2076, 228, 1614, 85, 360, 8, 17, 0], [0, 13, 52, 141, 735, 339, 1956, 438, 1362, 295, 240, 53, 7, 1], [0, 13, 53, 131, 780, 219, 2166, 186, 1572, 175, 285, 43, 8, 1], [0, 14, 35, 255, 310, 1344, 354, 2202, 24, 970, 35, 79, 10, 0], [0, 14, 36, 245, 355, 1224, 564, 1950, 234, 850, 80, 69, 11, 0], [0, 14, 37, 235, 400, 1104, 774, 1698, 444, 730, 125, 59, 12, 0], [0, 14, 37, 236, 390, 1149, 654, 1908, 192, 940, 5, 104, 2, 1], [0, 14, 38, 225, 445, 984, 984, 1446, 654, 610, 170, 49, 13, 0], [0, 14, 38, 226, 435, 1029, 864, 1656, 402, 820, 50, 94, 3, 1], [0, 14, 39, 215, 490, 864, 1194, 1194, 864, 490, 215, 39, 14, 0], [0, 14, 39, 216, 480, 909, 1074, 1404, 612, 700, 95, 84, 4, 1], [0, 14, 40, 205, 535, 744, 1404, 942, 1074, 370, 260, 29, 15, 0], [0, 14, 40, 206, 525, 789, 1284, 1152, 822, 580, 140, 74, 5, 1], [0, 14, 41, 195, 580, 624, 1614, 690, 1284, 250, 305, 19, 16, 0], [0, 14, 41, 196, 570, 669, 1494, 900, 1032, 460, 185, 64, 6, 1], [0, 14, 42, 185, 625, 504, 1824, 438, 1494, 130, 350, 9, 17, 0], [0, 14, 42, 186, 615, 549, 1704, 648, 1242, 340, 230, 54, 7, 1], [0, 14, 43, 176, 660, 429, 1914, 396, 1452, 220, 275, 44, 8, 1], [0, 14, 44, 166, 705, 309, 2124, 144, 1662, 100, 320, 34, 9, 1], [0, 14, 45, 157, 740, 234, 2214, 102, 1620, 190, 245, 69, 0, 2], [0, 15, 26, 290, 235, 1434, 312, 2160, 114, 895, 70, 70, 11, 0], [0, 15, 27, 280, 280, 1314, 522, 1908, 324, 775, 115, 60, 12, 0], [0, 15, 28, 270, 325, 1194, 732, 1656, 534, 655, 160, 50, 13, 0], [0, 15, 28, 271, 315, 1239, 612, 1866, 282, 865, 40, 95, 3, 1], [0, 15, 29, 260, 370, 1074, 942, 1404, 744, 535, 205, 40, 14, 0], [0, 15, 29, 261, 360, 1119, 822, 1614, 492, 745, 85, 85, 4, 1], [0, 15, 30, 250, 415, 954, 1152, 1152, 954, 415, 250, 30, 15, 0], [0, 15, 30, 251, 405, 999, 1032, 1362, 702, 625, 130, 75, 5, 1], [0, 15, 31, 240, 460, 834, 1362, 900, 1164, 295, 295, 20, 16, 0], [0, 15, 31, 241, 450, 879, 1242, 1110, 912, 505, 175, 65, 6, 1], [0, 15, 32, 230, 505, 714, 1572, 648, 1374, 175, 340, 10, 17, 0], [0, 15, 32, 231, 495, 759, 1452, 858, 1122, 385, 220, 55, 7, 1], [0, 15, 33, 220, 550, 594, 1782, 396, 1584, 55, 385, 0, 18, 0], [0, 15, 33, 221, 540, 639, 1662, 606, 1332, 265, 265, 45, 8, 1], [0, 15, 34, 211, 585, 519, 1872, 354, 1542, 145, 310, 35, 9, 1], [0, 15, 35, 201, 630, 399, 2082, 102, 1752, 25, 355, 25, 10, 1], [0, 15, 35, 202, 620, 444, 1962, 312, 1500, 235, 235, 70, 0, 2], [0, 15, 36, 192, 665, 324, 2172, 60, 1710, 115, 280, 60, 1, 2], [0, 16, 17, 325, 160, 1524, 270, 2118, 204, 820, 105, 61, 12, 0], [0, 16, 18, 315, 205, 1404, 480, 1866, 414, 700, 150, 51, 13, 0], [0, 16, 18, 316, 195, 1449, 360, 2076, 162, 910, 30, 96, 3, 1], [0, 16, 19, 305, 250, 1284, 690, 1614, 624, 580, 195, 41, 14, 0], [0, 16, 19, 306, 240, 1329, 570, 1824, 372, 790, 75, 86, 4, 1], [0, 16, 20, 295, 295, 1164, 900, 1362, 834, 460, 240, 31, 15, 0], [0, 16, 20, 296, 285, 1209, 780, 1572, 582, 670, 120, 76, 5, 1], [0, 16, 21, 285, 340, 1044, 1110, 1110, 1044, 340, 285, 21, 16, 0], [0, 16, 21, 286, 330, 1089, 990, 1320, 792, 550, 165, 66, 6, 1], [0, 16, 22, 275, 385, 924, 1320, 858, 1254, 220, 330, 11, 17, 0], [0, 16, 22, 276, 375, 969, 1200, 1068, 1002, 430, 210, 56, 7, 1], [0, 16, 23, 265, 430, 804, 1530, 606, 1464, 100, 375, 1, 18, 0], [0, 16, 23, 266, 420, 849, 1410, 816, 1212, 310, 255, 46, 8, 1], [0, 16, 24, 256, 465, 729, 1620, 564, 1422, 190, 300, 36, 9, 1], [0, 16, 25, 246, 510, 609, 1830, 312, 1632, 70, 345, 26, 10, 1], [0, 16, 25, 247, 500, 654, 1710, 522, 1380, 280, 225, 71, 0, 2], [0, 16, 26, 237, 545, 534, 1920, 270, 1590, 160, 270, 61, 1, 2], [0, 16, 27, 227, 590, 414, 2130, 18, 1800, 40, 315, 51, 2, 2], [0, 17, 7, 370, 40, 1734, 18, 2328, 84, 865, 95, 62, 12, 0], [0, 17, 8, 360, 85, 1614, 228, 2076, 294, 745, 140, 52, 13, 0], [0, 17, 8, 361, 75, 1659, 108, 2286, 42, 955, 20, 97, 3, 1], [0, 17, 9, 350, 130, 1494, 438, 1824, 504, 625, 185, 42, 14, 0], [0, 17, 9, 351, 120, 1539, 318, 2034, 252, 835, 65, 87, 4, 1], [0, 17, 10, 340, 175, 1374, 648, 1572, 714, 505, 230, 32, 15, 0], [0, 17, 10, 341, 165, 1419, 528, 1782, 462, 715, 110, 77, 5, 1], [0, 17, 11, 330, 220, 1254, 858, 1320, 924, 385, 275, 22, 16, 0], [0, 17, 11, 331, 210, 1299, 738, 1530, 672, 595, 155, 67, 6, 1], [0, 17, 12, 320, 265, 1134, 1068, 1068, 1134, 265, 320, 12, 17, 0], [0, 17, 12, 321, 255, 1179, 948, 1278, 882, 475, 200, 57, 7, 1], [0, 17, 13, 310, 310, 1014, 1278, 816, 1344, 145, 365, 2, 18, 0], [0, 17, 13, 311, 300, 1059, 1158, 1026, 1092, 355, 245, 47, 8, 1], [0, 17, 14, 301, 345, 939, 1368, 774, 1302, 235, 290, 37, 9, 1], [0, 17, 15, 291, 390, 819, 1578, 522, 1512, 115, 335, 27, 10, 1], [0, 17, 15, 292, 380, 864, 1458, 732, 1260, 325, 215, 72, 0, 2], [0, 17, 16, 282, 425, 744, 1668, 480, 1470, 205, 260, 62, 1, 2], [0, 17, 17, 272, 470, 624, 1878, 228, 1680, 85, 305, 52, 2, 2], [0, 18, 0, 385, 55, 1584, 396, 1782, 594, 550, 220, 33, 15, 0], [0, 18, 0, 386, 45, 1629, 276, 1992, 342, 760, 100, 78, 5, 1], [0, 18, 1, 375, 100, 1464, 606, 1530, 804, 430, 265, 23, 16, 0], [0, 18, 1, 376, 90, 1509, 486, 1740, 552, 640, 145, 68, 6, 1], [0, 18, 2, 365, 145, 1344, 816, 1278, 1014, 310, 310, 13, 17, 0], [0, 18, 2, 366, 135, 1389, 696, 1488, 762, 520, 190, 58, 7, 1], [0, 18, 3, 355, 190, 1224, 1026, 1026, 1224, 190, 355, 3, 18, 0], [0, 18, 3, 356, 180, 1269, 906, 1236, 972, 400, 235, 48, 8, 1], [0, 18, 4, 346, 225, 1149, 1116, 984, 1182, 280, 280, 38, 9, 1], [0, 18, 5, 336, 270, 1029, 1326, 732, 1392, 160, 325, 28, 10, 1], [0, 18, 5, 337, 260, 1074, 1206, 942, 1140, 370, 205, 73, 0, 2], [0, 18, 6, 326, 315, 909, 1536, 480, 1602, 40, 370, 18, 11, 1], [0, 18, 6, 327, 305, 954, 1416, 690, 1350, 250, 250, 63, 1, 2], [0, 18, 7, 317, 350, 834, 1626, 438, 1560, 130, 295, 53, 2, 2], [0, 18, 8, 307, 395, 714, 1836, 186, 1770, 10, 340, 43, 3, 2]}
(14, 5632, 9) has 567 possible DDs: {[0, 1, 71, 6, 435, 1007, 6, 2580, 6, 1007, 435, 6, 71, 1, 0], [0, 2, 63, 32, 395, 1022, 54, 2496, 54, 1022, 395, 32, 63, 2, 0], [0, 2, 64, 22, 440, 902, 264, 2244, 264, 902, 440, 22, 64, 2, 0], [0, 2, 64, 23, 430, 947, 144, 2454, 12, 1112, 320, 67, 54, 3, 0], [0, 2, 65, 12, 485, 782, 474, 1992, 474, 782, 485, 12, 65, 2, 0], [0, 2, 65, 13, 475, 827, 354, 2202, 222, 992, 365, 57, 55, 3, 0], [0, 2, 66, 2, 530, 662, 684, 1740, 684, 662, 530, 2, 66, 2, 0], [0, 2, 66, 3, 520, 707, 564, 1950, 432, 872, 410, 47, 56, 3, 0], [0, 2, 66, 4, 510, 752, 444, 2160, 180, 1082, 290, 92, 46, 4, 0], [0, 3, 54, 67, 320, 1112, 12, 2454, 144, 947, 430, 23, 64, 2, 0], [0, 3, 55, 57, 365, 992, 222, 2202, 354, 827, 475, 13, 65, 2, 0], [0, 3, 55, 58, 355, 1037, 102, 2412, 102, 1037, 355, 58, 55, 3, 0], [0, 3, 56, 47, 410, 872, 432, 1950, 564, 707, 520, 3, 66, 2, 0], [0, 3, 56, 48, 400, 917, 312, 2160, 312, 917, 400, 48, 56, 3, 0], [0, 3, 56, 49, 390, 962, 192, 2370, 60, 1127, 280, 93, 46, 4, 0], [0, 3, 57, 38, 445, 797, 522, 1908, 522, 797, 445, 38, 57, 3, 0], [0, 3, 57, 39, 435, 842, 402, 2118, 270, 1007, 325, 83, 47, 4, 0], [0, 3, 57, 40, 425, 887, 282, 2328, 18, 1217, 205, 128, 37, 5, 0], [0, 3, 58, 28, 490, 677, 732, 1656, 732, 677, 490, 28, 58, 3, 0], [0, 3, 58, 29, 480, 722, 612, 1866, 480, 887, 370, 73, 48, 4, 0], [0, 3, 58, 30, 470, 767, 492, 2076, 228, 1097, 250, 118, 38, 5, 0], [0, 3, 59, 18, 535, 557, 942, 1404, 942, 557, 535, 18, 59, 3, 0], [0, 3, 59, 19, 525, 602, 822, 1614, 690, 767, 415, 63, 49, 4, 0], [0, 3, 59, 20, 515, 647, 702, 1824, 438, 977, 295, 108, 39, 5, 0], [0, 3, 59, 21, 505, 692, 582, 2034, 186, 1187, 175, 153, 29, 6, 0], [0, 3, 60, 8, 580, 437, 1152, 1152, 1152, 437, 580, 8, 60, 3, 0], [0, 3, 60, 9, 570, 482, 1032, 1362, 900, 647, 460, 53, 50, 4, 0], [0, 3, 60, 10, 560, 527, 912, 1572, 648, 857, 340, 98, 40, 5, 0], [0, 3, 60, 11, 550, 572, 792, 1782, 396, 1067, 220, 143, 30, 6, 0], [0, 3, 60, 12, 540, 617, 672, 1992, 144, 1277, 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