------- (14, 8192, 9) ALL distance distributions (9, 8192, 9) has 1 possible DDs: {[16, 144, 576, 1344, 2016, 2016, 1344, 576, 144, 16]} (10, 8192, 9) has 17 possible DDs: {[0, 160, 0, 1920, 0, 4032, 0, 1920, 0, 160, 0], [1, 150, 45, 1800, 210, 3780, 210, 1800, 45, 150, 1], [2, 140, 90, 1680, 420, 3528, 420, 1680, 90, 140, 2], [3, 130, 135, 1560, 630, 3276, 630, 1560, 135, 130, 3], [4, 120, 180, 1440, 840, 3024, 840, 1440, 180, 120, 4], [5, 110, 225, 1320, 1050, 2772, 1050, 1320, 225, 110, 5], [6, 100, 270, 1200, 1260, 2520, 1260, 1200, 270, 100, 6], [7, 90, 315, 1080, 1470, 2268, 1470, 1080, 315, 90, 7], [8, 80, 360, 960, 1680, 2016, 1680, 960, 360, 80, 8], [9, 70, 405, 840, 1890, 1764, 1890, 840, 405, 70, 9], [10, 60, 450, 720, 2100, 1512, 2100, 720, 450, 60, 10], [11, 50, 495, 600, 2310, 1260, 2310, 600, 495, 50, 11], [12, 40, 540, 480, 2520, 1008, 2520, 480, 540, 40, 12], [13, 30, 585, 360, 2730, 756, 2730, 360, 585, 30, 13], [14, 20, 630, 240, 2940, 504, 2940, 240, 630, 20, 14], [15, 10, 675, 120, 3150, 252, 3150, 120, 675, 10, 15], [16, 0, 720, 0, 3360, 0, 3360, 0, 720, 0, 16]} (11, 8192, 9) has 81 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], [1, 70, 125, 840, 1170, 1764, 2226, 840, 1005, 70, 81, 0], [1, 71, 115, 885, 1050, 1974, 1974, 1050, 885, 115, 71, 1], [1, 72, 105, 930, 930, 2184, 1722, 1260, 765, 160, 61, 2], [1, 73, 95, 975, 810, 2394, 1470, 1470, 645, 205, 51, 3], [1, 74, 85, 1020, 690, 2604, 1218, 1680, 525, 250, 41, 4], [1, 75, 75, 1065, 570, 2814, 966, 1890, 405, 295, 31, 5], [1, 76, 65, 1110, 450, 3024, 714, 2100, 285, 340, 21, 6], [1, 77, 55, 1155, 330, 3234, 462, 2310, 165, 385, 11, 7], [1, 78, 45, 1200, 210, 3444, 210, 2520, 45, 430, 1, 8], [2, 60, 170, 720, 1380, 1512, 2436, 720, 1050, 60, 82, 0], [2, 61, 160, 765, 1260, 1722, 2184, 930, 930, 105, 72, 1], [2, 62, 150, 810, 1140, 1932, 1932, 1140, 810, 150, 62, 2], [2, 63, 140, 855, 1020, 2142, 1680, 1350, 690, 195, 52, 3], [2, 64, 130, 900, 900, 2352, 1428, 1560, 570, 240, 42, 4], [2, 65, 120, 945, 780, 2562, 1176, 1770, 450, 285, 32, 5], [2, 66, 110, 990, 660, 2772, 924, 1980, 330, 330, 22, 6], [2, 67, 100, 1035, 540, 2982, 672, 2190, 210, 375, 12, 7], [2, 68, 90, 1080, 420, 3192, 420, 2400, 90, 420, 2, 8], [3, 50, 215, 600, 1590, 1260, 2646, 600, 1095, 50, 83, 0], [3, 51, 205, 645, 1470, 1470, 2394, 810, 975, 95, 73, 1], [3, 52, 195, 690, 1350, 1680, 2142, 1020, 855, 140, 63, 2], [3, 53, 185, 735, 1230, 1890, 1890, 1230, 735, 185, 53, 3], [3, 54, 175, 780, 1110, 2100, 1638, 1440, 615, 230, 43, 4], [3, 55, 165, 825, 990, 2310, 1386, 1650, 495, 275, 33, 5], [3, 56, 155, 870, 870, 2520, 1134, 1860, 375, 320, 23, 6], [3, 57, 145, 915, 750, 2730, 882, 2070, 255, 365, 13, 7], [3, 58, 135, 960, 630, 2940, 630, 2280, 135, 410, 3, 8], [4, 40, 260, 480, 1800, 1008, 2856, 480, 1140, 40, 84, 0], [4, 41, 250, 525, 1680, 1218, 2604, 690, 1020, 85, 74, 1], [4, 42, 240, 570, 1560, 1428, 2352, 900, 900, 130, 64, 2], [4, 43, 230, 615, 1440, 1638, 2100, 1110, 780, 175, 54, 3], [4, 44, 220, 660, 1320, 1848, 1848, 1320, 660, 220, 44, 4], [4, 45, 210, 705, 1200, 2058, 1596, 1530, 540, 265, 34, 5], [4, 46, 200, 750, 1080, 2268, 1344, 1740, 420, 310, 24, 6], [4, 47, 190, 795, 960, 2478, 1092, 1950, 300, 355, 14, 7], [4, 48, 180, 840, 840, 2688, 840, 2160, 180, 400, 4, 8], [5, 30, 305, 360, 2010, 756, 3066, 360, 1185, 30, 85, 0], [5, 31, 295, 405, 1890, 966, 2814, 570, 1065, 75, 75, 1], [5, 32, 285, 450, 1770, 1176, 2562, 780, 945, 120, 65, 2], [5, 33, 275, 495, 1650, 1386, 2310, 990, 825, 165, 55, 3], [5, 34, 265, 540, 1530, 1596, 2058, 1200, 705, 210, 45, 4], [5, 35, 255, 585, 1410, 1806, 1806, 1410, 585, 255, 35, 5], [5, 36, 245, 630, 1290, 2016, 1554, 1620, 465, 300, 25, 6], [5, 37, 235, 675, 1170, 2226, 1302, 1830, 345, 345, 15, 7], [5, 38, 225, 720, 1050, 2436, 1050, 2040, 225, 390, 5, 8], [6, 20, 350, 240, 2220, 504, 3276, 240, 1230, 20, 86, 0], [6, 21, 340, 285, 2100, 714, 3024, 450, 1110, 65, 76, 1], [6, 22, 330, 330, 1980, 924, 2772, 660, 990, 110, 66, 2], [6, 23, 320, 375, 1860, 1134, 2520, 870, 870, 155, 56, 3], [6, 24, 310, 420, 1740, 1344, 2268, 1080, 750, 200, 46, 4], [6, 25, 300, 465, 1620, 1554, 2016, 1290, 630, 245, 36, 5], [6, 26, 290, 510, 1500, 1764, 1764, 1500, 510, 290, 26, 6], [6, 27, 280, 555, 1380, 1974, 1512, 1710, 390, 335, 16, 7], [6, 28, 270, 600, 1260, 2184, 1260, 1920, 270, 380, 6, 8], [7, 10, 395, 120, 2430, 252, 3486, 120, 1275, 10, 87, 0], [7, 11, 385, 165, 2310, 462, 3234, 330, 1155, 55, 77, 1], [7, 12, 375, 210, 2190, 672, 2982, 540, 1035, 100, 67, 2], [7, 13, 365, 255, 2070, 882, 2730, 750, 915, 145, 57, 3], [7, 14, 355, 300, 1950, 1092, 2478, 960, 795, 190, 47, 4], [7, 15, 345, 345, 1830, 1302, 2226, 1170, 675, 235, 37, 5], [7, 16, 335, 390, 1710, 1512, 1974, 1380, 555, 280, 27, 6], [7, 17, 325, 435, 1590, 1722, 1722, 1590, 435, 325, 17, 7], [7, 18, 315, 480, 1470, 1932, 1470, 1800, 315, 370, 7, 8], [8, 0, 440, 0, 2640, 0, 3696, 0, 1320, 0, 88, 0], [8, 1, 430, 45, 2520, 210, 3444, 210, 1200, 45, 78, 1], [8, 2, 420, 90, 2400, 420, 3192, 420, 1080, 90, 68, 2], [8, 3, 410, 135, 2280, 630, 2940, 630, 960, 135, 58, 3], [8, 4, 400, 180, 2160, 840, 2688, 840, 840, 180, 48, 4], [8, 5, 390, 225, 2040, 1050, 2436, 1050, 720, 225, 38, 5], [8, 6, 380, 270, 1920, 1260, 2184, 1260, 600, 270, 28, 6], [8, 7, 370, 315, 1800, 1470, 1932, 1470, 480, 315, 18, 7], [8, 8, 360, 360, 1680, 1680, 1680, 1680, 360, 360, 8, 8]} (12, 8192, 9) has 379 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], [1, 25, 175, 175, 1770, 186, 3486, 318, 1605, 285, 131, 35, 0], [1, 25, 176, 165, 1815, 66, 3696, 66, 1815, 165, 176, 25, 1], [1, 26, 165, 220, 1650, 396, 3234, 528, 1485, 330, 121, 36, 0], [1, 26, 166, 210, 1695, 276, 3444, 276, 1695, 210, 166, 26, 1], [1, 26, 167, 200, 1740, 156, 3654, 24, 1905, 90, 211, 16, 2], [1, 27, 155, 265, 1530, 606, 2982, 738, 1365, 375, 111, 37, 0], [1, 27, 156, 255, 1575, 486, 3192, 486, 1575, 255, 156, 27, 1], [1, 27, 157, 245, 1620, 366, 3402, 234, 1785, 135, 201, 17, 2], [1, 28, 145, 310, 1410, 816, 2730, 948, 1245, 420, 101, 38, 0], [1, 28, 146, 300, 1455, 696, 2940, 696, 1455, 300, 146, 28, 1], [1, 28, 147, 290, 1500, 576, 3150, 444, 1665, 180, 191, 18, 2], [1, 28, 148, 280, 1545, 456, 3360, 192, 1875, 60, 236, 8, 3], [1, 29, 135, 355, 1290, 1026, 2478, 1158, 1125, 465, 91, 39, 0], [1, 29, 136, 345, 1335, 906, 2688, 906, 1335, 345, 136, 29, 1], [1, 29, 137, 335, 1380, 786, 2898, 654, 1545, 225, 181, 19, 2], [1, 29, 138, 325, 1425, 666, 3108, 402, 1755, 105, 226, 9, 3], [1, 30, 125, 400, 1170, 1236, 2226, 1368, 1005, 510, 81, 40, 0], [1, 30, 126, 390, 1215, 1116, 2436, 1116, 1215, 390, 126, 30, 1], [1, 30, 127, 380, 1260, 996, 2646, 864, 1425, 270, 171, 20, 2], [1, 30, 128, 370, 1305, 876, 2856, 612, 1635, 150, 216, 10, 3], [1, 30, 129, 360, 1350, 756, 3066, 360, 1845, 30, 261, 0, 4], [1, 31, 115, 445, 1050, 1446, 1974, 1578, 885, 555, 71, 41, 0], [1, 31, 116, 435, 1095, 1326, 2184, 1326, 1095, 435, 116, 31, 1], [1, 31, 117, 425, 1140, 1206, 2394, 1074, 1305, 315, 161, 21, 2], [1, 31, 118, 415, 1185, 1086, 2604, 822, 1515, 195, 206, 11, 3], [1, 31, 119, 405, 1230, 966, 2814, 570, 1725, 75, 251, 1, 4], [1, 32, 105, 490, 930, 1656, 1722, 1788, 765, 600, 61, 42, 0], [1, 32, 106, 480, 975, 1536, 1932, 1536, 975, 480, 106, 32, 1], [1, 32, 107, 470, 1020, 1416, 2142, 1284, 1185, 360, 151, 22, 2], [1, 32, 108, 460, 1065, 1296, 2352, 1032, 1395, 240, 196, 12, 3], [1, 32, 109, 450, 1110, 1176, 2562, 780, 1605, 120, 241, 2, 4], [1, 33, 95, 535, 810, 1866, 1470, 1998, 645, 645, 51, 43, 0], [1, 33, 96, 525, 855, 1746, 1680, 1746, 855, 525, 96, 33, 1], [1, 33, 97, 515, 900, 1626, 1890, 1494, 1065, 405, 141, 23, 2], [1, 33, 98, 505, 945, 1506, 2100, 1242, 1275, 285, 186, 13, 3], [1, 33, 99, 495, 990, 1386, 2310, 990, 1485, 165, 231, 3, 4], [1, 34, 85, 580, 690, 2076, 1218, 2208, 525, 690, 41, 44, 0], [1, 34, 86, 570, 735, 1956, 1428, 1956, 735, 570, 86, 34, 1], [1, 34, 87, 560, 780, 1836, 1638, 1704, 945, 450, 131, 24, 2], [1, 34, 88, 550, 825, 1716, 1848, 1452, 1155, 330, 176, 14, 3], [1, 34, 89, 540, 870, 1596, 2058, 1200, 1365, 210, 221, 4, 4], [1, 35, 75, 625, 570, 2286, 966, 2418, 405, 735, 31, 45, 0], [1, 35, 76, 615, 615, 2166, 1176, 2166, 615, 615, 76, 35, 1], [1, 35, 77, 605, 660, 2046, 1386, 1914, 825, 495, 121, 25, 2], [1, 35, 78, 595, 705, 1926, 1596, 1662, 1035, 375, 166, 15, 3], [1, 35, 79, 585, 750, 1806, 1806, 1410, 1245, 255, 211, 5, 4], [1, 36, 65, 670, 450, 2496, 714, 2628, 285, 780, 21, 46, 0], [1, 36, 66, 660, 495, 2376, 924, 2376, 495, 660, 66, 36, 1], [1, 36, 67, 650, 540, 2256, 1134, 2124, 705, 540, 111, 26, 2], [1, 36, 68, 640, 585, 2136, 1344, 1872, 915, 420, 156, 16, 3], [1, 36, 69, 630, 630, 2016, 1554, 1620, 1125, 300, 201, 6, 4], [1, 37, 55, 715, 330, 2706, 462, 2838, 165, 825, 11, 47, 0], [1, 37, 56, 705, 375, 2586, 672, 2586, 375, 705, 56, 37, 1], [1, 37, 57, 695, 420, 2466, 882, 2334, 585, 585, 101, 27, 2], [1, 37, 58, 685, 465, 2346, 1092, 2082, 795, 465, 146, 17, 3], [1, 37, 59, 675, 510, 2226, 1302, 1830, 1005, 345, 191, 7, 4], [1, 38, 45, 760, 210, 2916, 210, 3048, 45, 870, 1, 48, 0], [1, 38, 46, 750, 255, 2796, 420, 2796, 255, 750, 46, 38, 1], [1, 38, 47, 740, 300, 2676, 630, 2544, 465, 630, 91, 28, 2], [1, 38, 48, 730, 345, 2556, 840, 2292, 675, 510, 136, 18, 3], [1, 38, 49, 720, 390, 2436, 1050, 2040, 885, 390, 181, 8, 4], [1, 39, 36, 795, 135, 3006, 168, 3006, 135, 795, 36, 39, 1], [1, 39, 37, 785, 180, 2886, 378, 2754, 345, 675, 81, 29, 2], [1, 39, 38, 775, 225, 2766, 588, 2502, 555, 555, 126, 19, 3], [1, 39, 39, 765, 270, 2646, 798, 2250, 765, 435, 171, 9, 4], [1, 40, 27, 830, 60, 3096, 126, 2964, 225, 720, 71, 30, 2], [1, 40, 28, 820, 105, 2976, 336, 2712, 435, 600, 116, 20, 3], [1, 40, 29, 810, 150, 2856, 546, 2460, 645, 480, 161, 10, 4], [1, 40, 30, 800, 195, 2736, 756, 2208, 855, 360, 206, 0, 5], [1, 41, 19, 855, 30, 3066, 294, 2670, 525, 525, 151, 11, 4], [1, 41, 20, 845, 75, 2946, 504, 2418, 735, 405, 196, 1, 5], [2, 16, 210, 100, 1860, 144, 3444, 408, 1530, 320, 122, 36, 0], [2, 16, 211, 90, 1905, 24, 3654, 156, 1740, 200, 167, 26, 1], [2, 17, 200, 145, 1740, 354, 3192, 618, 1410, 365, 112, 37, 0], [2, 17, 201, 135, 1785, 234, 3402, 366, 1620, 245, 157, 27, 1], [2, 17, 202, 125, 1830, 114, 3612, 114, 1830, 125, 202, 17, 2], [2, 18, 190, 190, 1620, 564, 2940, 828, 1290, 410, 102, 38, 0], [2, 18, 191, 180, 1665, 444, 3150, 576, 1500, 290, 147, 28, 1], [2, 18, 192, 170, 1710, 324, 3360, 324, 1710, 170, 192, 18, 2], [2, 18, 193, 160, 1755, 204, 3570, 72, 1920, 50, 237, 8, 3], [2, 19, 180, 235, 1500, 774, 2688, 1038, 1170, 455, 92, 39, 0], [2, 19, 181, 225, 1545, 654, 2898, 786, 1380, 335, 137, 29, 1], [2, 19, 182, 215, 1590, 534, 3108, 534, 1590, 215, 182, 19, 2], [2, 19, 183, 205, 1635, 414, 3318, 282, 1800, 95, 227, 9, 3], [2, 20, 170, 280, 1380, 984, 2436, 1248, 1050, 500, 82, 40, 0], [2, 20, 171, 270, 1425, 864, 2646, 996, 1260, 380, 127, 30, 1], [2, 20, 172, 260, 1470, 744, 2856, 744, 1470, 260, 172, 20, 2], [2, 20, 173, 250, 1515, 624, 3066, 492, 1680, 140, 217, 10, 3], [2, 20, 174, 240, 1560, 504, 3276, 240, 1890, 20, 262, 0, 4], [2, 21, 160, 325, 1260, 1194, 2184, 1458, 930, 545, 72, 41, 0], [2, 21, 161, 315, 1305, 1074, 2394, 1206, 1140, 425, 117, 31, 1], [2, 21, 162, 305, 1350, 954, 2604, 954, 1350, 305, 162, 21, 2], [2, 21, 163, 295, 1395, 834, 2814, 702, 1560, 185, 207, 11, 3], [2, 21, 164, 285, 1440, 714, 3024, 450, 1770, 65, 252, 1, 4], [2, 22, 150, 370, 1140, 1404, 1932, 1668, 810, 590, 62, 42, 0], [2, 22, 151, 360, 1185, 1284, 2142, 1416, 1020, 470, 107, 32, 1], [2, 22, 152, 350, 1230, 1164, 2352, 1164, 1230, 350, 152, 22, 2], [2, 22, 153, 340, 1275, 1044, 2562, 912, 1440, 230, 197, 12, 3], [2, 22, 154, 330, 1320, 924, 2772, 660, 1650, 110, 242, 2, 4], [2, 23, 140, 415, 1020, 1614, 1680, 1878, 690, 635, 52, 43, 0], [2, 23, 141, 405, 1065, 1494, 1890, 1626, 900, 515, 97, 33, 1], [2, 23, 142, 395, 1110, 1374, 2100, 1374, 1110, 395, 142, 23, 2], [2, 23, 143, 385, 1155, 1254, 2310, 1122, 1320, 275, 187, 13, 3], [2, 23, 144, 375, 1200, 1134, 2520, 870, 1530, 155, 232, 3, 4], [2, 24, 130, 460, 900, 1824, 1428, 2088, 570, 680, 42, 44, 0], [2, 24, 131, 450, 945, 1704, 1638, 1836, 780, 560, 87, 34, 1], [2, 24, 132, 440, 990, 1584, 1848, 1584, 990, 440, 132, 24, 2], [2, 24, 133, 430, 1035, 1464, 2058, 1332, 1200, 320, 177, 14, 3], [2, 24, 134, 420, 1080, 1344, 2268, 1080, 1410, 200, 222, 4, 4], [2, 25, 120, 505, 780, 2034, 1176, 2298, 450, 725, 32, 45, 0], [2, 25, 121, 495, 825, 1914, 1386, 2046, 660, 605, 77, 35, 1], [2, 25, 122, 485, 870, 1794, 1596, 1794, 870, 485, 122, 25, 2], [2, 25, 123, 475, 915, 1674, 1806, 1542, 1080, 365, 167, 15, 3], [2, 25, 124, 465, 960, 1554, 2016, 1290, 1290, 245, 212, 5, 4], [2, 26, 110, 550, 660, 2244, 924, 2508, 330, 770, 22, 46, 0], [2, 26, 111, 540, 705, 2124, 1134, 2256, 540, 650, 67, 36, 1], [2, 26, 112, 530, 750, 2004, 1344, 2004, 750, 530, 112, 26, 2], [2, 26, 113, 520, 795, 1884, 1554, 1752, 960, 410, 157, 16, 3], [2, 26, 114, 510, 840, 1764, 1764, 1500, 1170, 290, 202, 6, 4], [2, 27, 100, 595, 540, 2454, 672, 2718, 210, 815, 12, 47, 0], [2, 27, 101, 585, 585, 2334, 882, 2466, 420, 695, 57, 37, 1], [2, 27, 102, 575, 630, 2214, 1092, 2214, 630, 575, 102, 27, 2], [2, 27, 103, 565, 675, 2094, 1302, 1962, 840, 455, 147, 17, 3], [2, 27, 104, 555, 720, 1974, 1512, 1710, 1050, 335, 192, 7, 4], [2, 28, 90, 640, 420, 2664, 420, 2928, 90, 860, 2, 48, 0], [2, 28, 91, 630, 465, 2544, 630, 2676, 300, 740, 47, 38, 1], [2, 28, 92, 620, 510, 2424, 840, 2424, 510, 620, 92, 28, 2], [2, 28, 93, 610, 555, 2304, 1050, 2172, 720, 500, 137, 18, 3], [2, 28, 94, 600, 600, 2184, 1260, 1920, 930, 380, 182, 8, 4], [2, 29, 81, 675, 345, 2754, 378, 2886, 180, 785, 37, 39, 1], [2, 29, 82, 665, 390, 2634, 588, 2634, 390, 665, 82, 29, 2], [2, 29, 83, 655, 435, 2514, 798, 2382, 600, 545, 127, 19, 3], [2, 29, 84, 645, 480, 2394, 1008, 2130, 810, 425, 172, 9, 4], [2, 30, 71, 720, 225, 2964, 126, 3096, 60, 830, 27, 40, 1], [2, 30, 72, 710, 270, 2844, 336, 2844, 270, 710, 72, 30, 2], [2, 30, 73, 700, 315, 2724, 546, 2592, 480, 590, 117, 20, 3], [2, 30, 74, 690, 360, 2604, 756, 2340, 690, 470, 162, 10, 4], [2, 30, 75, 680, 405, 2484, 966, 2088, 900, 350, 207, 0, 5], [2, 31, 62, 755, 150, 3054, 84, 3054, 150, 755, 62, 31, 2], [2, 31, 63, 745, 195, 2934, 294, 2802, 360, 635, 107, 21, 3], [2, 31, 64, 735, 240, 2814, 504, 2550, 570, 515, 152, 11, 4], [2, 31, 65, 725, 285, 2694, 714, 2298, 780, 395, 197, 1, 5], [2, 32, 53, 790, 75, 3144, 42, 3012, 240, 680, 97, 22, 3], [2, 32, 54, 780, 120, 3024, 252, 2760, 450, 560, 142, 12, 4], [2, 32, 55, 770, 165, 2904, 462, 2508, 660, 440, 187, 2, 5], [2, 33, 44, 825, 0, 3234, 0, 2970, 330, 605, 132, 13, 4], [2, 33, 45, 815, 45, 3114, 210, 2718, 540, 485, 177, 3, 5], [3, 7, 245, 25, 1950, 102, 3402, 498, 1455, 355, 113, 37, 0], [3, 8, 235, 70, 1830, 312, 3150, 708, 1335, 400, 103, 38, 0], [3, 8, 236, 60, 1875, 192, 3360, 456, 1545, 280, 148, 28, 1], [3, 8, 237, 50, 1920, 72, 3570, 204, 1755, 160, 193, 18, 2], [3, 9, 225, 115, 1710, 522, 2898, 918, 1215, 445, 93, 39, 0], [3, 9, 226, 105, 1755, 402, 3108, 666, 1425, 325, 138, 29, 1], [3, 9, 227, 95, 1800, 282, 3318, 414, 1635, 205, 183, 19, 2], [3, 9, 228, 85, 1845, 162, 3528, 162, 1845, 85, 228, 9, 3], [3, 10, 215, 160, 1590, 732, 2646, 1128, 1095, 490, 83, 40, 0], [3, 10, 216, 150, 1635, 612, 2856, 876, 1305, 370, 128, 30, 1], [3, 10, 217, 140, 1680, 492, 3066, 624, 1515, 250, 173, 20, 2], [3, 10, 218, 130, 1725, 372, 3276, 372, 1725, 130, 218, 10, 3], [3, 10, 219, 120, 1770, 252, 3486, 120, 1935, 10, 263, 0, 4], [3, 11, 205, 205, 1470, 942, 2394, 1338, 975, 535, 73, 41, 0], [3, 11, 206, 195, 1515, 822, 2604, 1086, 1185, 415, 118, 31, 1], [3, 11, 207, 185, 1560, 702, 2814, 834, 1395, 295, 163, 21, 2], [3, 11, 208, 175, 1605, 582, 3024, 582, 1605, 175, 208, 11, 3], [3, 11, 209, 165, 1650, 462, 3234, 330, 1815, 55, 253, 1, 4], [3, 12, 195, 250, 1350, 1152, 2142, 1548, 855, 580, 63, 42, 0], [3, 12, 196, 240, 1395, 1032, 2352, 1296, 1065, 460, 108, 32, 1], [3, 12, 197, 230, 1440, 912, 2562, 1044, 1275, 340, 153, 22, 2], [3, 12, 198, 220, 1485, 792, 2772, 792, 1485, 220, 198, 12, 3], [3, 12, 199, 210, 1530, 672, 2982, 540, 1695, 100, 243, 2, 4], [3, 13, 185, 295, 1230, 1362, 1890, 1758, 735, 625, 53, 43, 0], [3, 13, 186, 285, 1275, 1242, 2100, 1506, 945, 505, 98, 33, 1], [3, 13, 187, 275, 1320, 1122, 2310, 1254, 1155, 385, 143, 23, 2], [3, 13, 188, 265, 1365, 1002, 2520, 1002, 1365, 265, 188, 13, 3], [3, 13, 189, 255, 1410, 882, 2730, 750, 1575, 145, 233, 3, 4], [3, 14, 175, 340, 1110, 1572, 1638, 1968, 615, 670, 43, 44, 0], [3, 14, 176, 330, 1155, 1452, 1848, 1716, 825, 550, 88, 34, 1], [3, 14, 177, 320, 1200, 1332, 2058, 1464, 1035, 430, 133, 24, 2], [3, 14, 178, 310, 1245, 1212, 2268, 1212, 1245, 310, 178, 14, 3], [3, 14, 179, 300, 1290, 1092, 2478, 960, 1455, 190, 223, 4, 4], [3, 15, 165, 385, 990, 1782, 1386, 2178, 495, 715, 33, 45, 0], [3, 15, 166, 375, 1035, 1662, 1596, 1926, 705, 595, 78, 35, 1], [3, 15, 167, 365, 1080, 1542, 1806, 1674, 915, 475, 123, 25, 2], [3, 15, 168, 355, 1125, 1422, 2016, 1422, 1125, 355, 168, 15, 3], [3, 15, 169, 345, 1170, 1302, 2226, 1170, 1335, 235, 213, 5, 4], [3, 16, 155, 430, 870, 1992, 1134, 2388, 375, 760, 23, 46, 0], [3, 16, 156, 420, 915, 1872, 1344, 2136, 585, 640, 68, 36, 1], [3, 16, 157, 410, 960, 1752, 1554, 1884, 795, 520, 113, 26, 2], [3, 16, 158, 400, 1005, 1632, 1764, 1632, 1005, 400, 158, 16, 3], [3, 16, 159, 390, 1050, 1512, 1974, 1380, 1215, 280, 203, 6, 4], [3, 17, 145, 475, 750, 2202, 882, 2598, 255, 805, 13, 47, 0], [3, 17, 146, 465, 795, 2082, 1092, 2346, 465, 685, 58, 37, 1], [3, 17, 147, 455, 840, 1962, 1302, 2094, 675, 565, 103, 27, 2], [3, 17, 148, 445, 885, 1842, 1512, 1842, 885, 445, 148, 17, 3], [3, 17, 149, 435, 930, 1722, 1722, 1590, 1095, 325, 193, 7, 4], [3, 18, 135, 520, 630, 2412, 630, 2808, 135, 850, 3, 48, 0], [3, 18, 136, 510, 675, 2292, 840, 2556, 345, 730, 48, 38, 1], [3, 18, 137, 500, 720, 2172, 1050, 2304, 555, 610, 93, 28, 2], [3, 18, 138, 490, 765, 2052, 1260, 2052, 765, 490, 138, 18, 3], [3, 18, 139, 480, 810, 1932, 1470, 1800, 975, 370, 183, 8, 4], [3, 19, 126, 555, 555, 2502, 588, 2766, 225, 775, 38, 39, 1], [3, 19, 127, 545, 600, 2382, 798, 2514, 435, 655, 83, 29, 2], [3, 19, 128, 535, 645, 2262, 1008, 2262, 645, 535, 128, 19, 3], [3, 19, 129, 525, 690, 2142, 1218, 2010, 855, 415, 173, 9, 4], [3, 20, 116, 600, 435, 2712, 336, 2976, 105, 820, 28, 40, 1], [3, 20, 117, 590, 480, 2592, 546, 2724, 315, 700, 73, 30, 2], [3, 20, 118, 580, 525, 2472, 756, 2472, 525, 580, 118, 20, 3], [3, 20, 119, 570, 570, 2352, 966, 2220, 735, 460, 163, 10, 4], [3, 20, 120, 560, 615, 2232, 1176, 1968, 945, 340, 208, 0, 5], [3, 21, 107, 635, 360, 2802, 294, 2934, 195, 745, 63, 31, 2], [3, 21, 108, 625, 405, 2682, 504, 2682, 405, 625, 108, 21, 3], [3, 21, 109, 615, 450, 2562, 714, 2430, 615, 505, 153, 11, 4], [3, 21, 110, 605, 495, 2442, 924, 2178, 825, 385, 198, 1, 5], [3, 22, 97, 680, 240, 3012, 42, 3144, 75, 790, 53, 32, 2], [3, 22, 98, 670, 285, 2892, 252, 2892, 285, 670, 98, 22, 3], [3, 22, 99, 660, 330, 2772, 462, 2640, 495, 550, 143, 12, 4], [3, 22, 100, 650, 375, 2652, 672, 2388, 705, 430, 188, 2, 5], [3, 23, 88, 715, 165, 3102, 0, 3102, 165, 715, 88, 23, 3], [3, 23, 89, 705, 210, 2982, 210, 2850, 375, 595, 133, 13, 4], [3, 23, 90, 695, 255, 2862, 420, 2598, 585, 475, 178, 3, 5], [3, 24, 80, 740, 135, 3072, 168, 2808, 465, 520, 168, 4, 5], [4, 0, 260, 40, 1800, 480, 2856, 1008, 1140, 480, 84, 40, 0], [4, 0, 261, 30, 1845, 360, 3066, 756, 1350, 360, 129, 30, 1], [4, 0, 262, 20, 1890, 240, 3276, 504, 1560, 240, 174, 20, 2], [4, 0, 263, 10, 1935, 120, 3486, 252, 1770, 120, 219, 10, 3], [4, 0, 264, 0, 1980, 0, 3696, 0, 1980, 0, 264, 0, 4], [4, 1, 250, 85, 1680, 690, 2604, 1218, 1020, 525, 74, 41, 0], [4, 1, 251, 75, 1725, 570, 2814, 966, 1230, 405, 119, 31, 1], [4, 1, 252, 65, 1770, 450, 3024, 714, 1440, 285, 164, 21, 2], [4, 1, 253, 55, 1815, 330, 3234, 462, 1650, 165, 209, 11, 3], [4, 1, 254, 45, 1860, 210, 3444, 210, 1860, 45, 254, 1, 4], [4, 2, 240, 130, 1560, 900, 2352, 1428, 900, 570, 64, 42, 0], [4, 2, 241, 120, 1605, 780, 2562, 1176, 1110, 450, 109, 32, 1], [4, 2, 242, 110, 1650, 660, 2772, 924, 1320, 330, 154, 22, 2], [4, 2, 243, 100, 1695, 540, 2982, 672, 1530, 210, 199, 12, 3], [4, 2, 244, 90, 1740, 420, 3192, 420, 1740, 90, 244, 2, 4], [4, 3, 230, 175, 1440, 1110, 2100, 1638, 780, 615, 54, 43, 0], [4, 3, 231, 165, 1485, 990, 2310, 1386, 990, 495, 99, 33, 1], [4, 3, 232, 155, 1530, 870, 2520, 1134, 1200, 375, 144, 23, 2], [4, 3, 233, 145, 1575, 750, 2730, 882, 1410, 255, 189, 13, 3], [4, 3, 234, 135, 1620, 630, 2940, 630, 1620, 135, 234, 3, 4], [4, 4, 220, 220, 1320, 1320, 1848, 1848, 660, 660, 44, 44, 0], [4, 4, 221, 210, 1365, 1200, 2058, 1596, 870, 540, 89, 34, 1], [4, 4, 222, 200, 1410, 1080, 2268, 1344, 1080, 420, 134, 24, 2], [4, 4, 223, 190, 1455, 960, 2478, 1092, 1290, 300, 179, 14, 3], [4, 4, 224, 180, 1500, 840, 2688, 840, 1500, 180, 224, 4, 4], [4, 5, 210, 265, 1200, 1530, 1596, 2058, 540, 705, 34, 45, 0], [4, 5, 211, 255, 1245, 1410, 1806, 1806, 750, 585, 79, 35, 1], [4, 5, 212, 245, 1290, 1290, 2016, 1554, 960, 465, 124, 25, 2], [4, 5, 213, 235, 1335, 1170, 2226, 1302, 1170, 345, 169, 15, 3], [4, 5, 214, 225, 1380, 1050, 2436, 1050, 1380, 225, 214, 5, 4], [4, 6, 200, 310, 1080, 1740, 1344, 2268, 420, 750, 24, 46, 0], [4, 6, 201, 300, 1125, 1620, 1554, 2016, 630, 630, 69, 36, 1], [4, 6, 202, 290, 1170, 1500, 1764, 1764, 840, 510, 114, 26, 2], [4, 6, 203, 280, 1215, 1380, 1974, 1512, 1050, 390, 159, 16, 3], [4, 6, 204, 270, 1260, 1260, 2184, 1260, 1260, 270, 204, 6, 4], [4, 7, 190, 355, 960, 1950, 1092, 2478, 300, 795, 14, 47, 0], [4, 7, 191, 345, 1005, 1830, 1302, 2226, 510, 675, 59, 37, 1], [4, 7, 192, 335, 1050, 1710, 1512, 1974, 720, 555, 104, 27, 2], [4, 7, 193, 325, 1095, 1590, 1722, 1722, 930, 435, 149, 17, 3], [4, 7, 194, 315, 1140, 1470, 1932, 1470, 1140, 315, 194, 7, 4], [4, 8, 180, 400, 840, 2160, 840, 2688, 180, 840, 4, 48, 0], [4, 8, 181, 390, 885, 2040, 1050, 2436, 390, 720, 49, 38, 1], [4, 8, 182, 380, 930, 1920, 1260, 2184, 600, 600, 94, 28, 2], [4, 8, 183, 370, 975, 1800, 1470, 1932, 810, 480, 139, 18, 3], [4, 8, 184, 360, 1020, 1680, 1680, 1680, 1020, 360, 184, 8, 4], [4, 9, 171, 435, 765, 2250, 798, 2646, 270, 765, 39, 39, 1], [4, 9, 172, 425, 810, 2130, 1008, 2394, 480, 645, 84, 29, 2], [4, 9, 173, 415, 855, 2010, 1218, 2142, 690, 525, 129, 19, 3], [4, 9, 174, 405, 900, 1890, 1428, 1890, 900, 405, 174, 9, 4], [4, 10, 161, 480, 645, 2460, 546, 2856, 150, 810, 29, 40, 1], [4, 10, 162, 470, 690, 2340, 756, 2604, 360, 690, 74, 30, 2], [4, 10, 163, 460, 735, 2220, 966, 2352, 570, 570, 119, 20, 3], [4, 10, 164, 450, 780, 2100, 1176, 2100, 780, 450, 164, 10, 4], [4, 10, 165, 440, 825, 1980, 1386, 1848, 990, 330, 209, 0, 5], [4, 11, 151, 525, 525, 2670, 294, 3066, 30, 855, 19, 41, 1], [4, 11, 152, 515, 570, 2550, 504, 2814, 240, 735, 64, 31, 2], [4, 11, 153, 505, 615, 2430, 714, 2562, 450, 615, 109, 21, 3], [4, 11, 154, 495, 660, 2310, 924, 2310, 660, 495, 154, 11, 4], [4, 11, 155, 485, 705, 2190, 1134, 2058, 870, 375, 199, 1, 5], [4, 12, 142, 560, 450, 2760, 252, 3024, 120, 780, 54, 32, 2], [4, 12, 143, 550, 495, 2640, 462, 2772, 330, 660, 99, 22, 3], [4, 12, 144, 540, 540, 2520, 672, 2520, 540, 540, 144, 12, 4], [4, 12, 145, 530, 585, 2400, 882, 2268, 750, 420, 189, 2, 5], [4, 13, 132, 605, 330, 2970, 0, 3234, 0, 825, 44, 33, 2], [4, 13, 133, 595, 375, 2850, 210, 2982, 210, 705, 89, 23, 3], [4, 13, 134, 585, 420, 2730, 420, 2730, 420, 585, 134, 13, 4], [4, 13, 135, 575, 465, 2610, 630, 2478, 630, 465, 179, 3, 5], [4, 14, 124, 630, 300, 2940, 168, 2940, 300, 630, 124, 14, 4], [4, 14, 125, 620, 345, 2820, 378, 2688, 510, 510, 169, 4, 5], [4, 15, 115, 665, 225, 3030, 126, 2898, 390, 555, 159, 5, 5], [5, 0, 206, 360, 855, 2208, 756, 2736, 195, 800, 30, 40, 1], [5, 0, 207, 350, 900, 2088, 966, 2484, 405, 680, 75, 30, 2], [5, 0, 208, 340, 945, 1968, 1176, 2232, 615, 560, 120, 20, 3], [5, 0, 209, 330, 990, 1848, 1386, 1980, 825, 440, 165, 10, 4], [5, 0, 210, 320, 1035, 1728, 1596, 1728, 1035, 320, 210, 0, 5], [5, 1, 196, 405, 735, 2418, 504, 2946, 75, 845, 20, 41, 1], [5, 1, 197, 395, 780, 2298, 714, 2694, 285, 725, 65, 31, 2], [5, 1, 198, 385, 825, 2178, 924, 2442, 495, 605, 110, 21, 3], [5, 1, 199, 375, 870, 2058, 1134, 2190, 705, 485, 155, 11, 4], [5, 1, 200, 365, 915, 1938, 1344, 1938, 915, 365, 200, 1, 5], [5, 2, 187, 440, 660, 2508, 462, 2904, 165, 770, 55, 32, 2], [5, 2, 188, 430, 705, 2388, 672, 2652, 375, 650, 100, 22, 3], [5, 2, 189, 420, 750, 2268, 882, 2400, 585, 530, 145, 12, 4], [5, 2, 190, 410, 795, 2148, 1092, 2148, 795, 410, 190, 2, 5], [5, 3, 177, 485, 540, 2718, 210, 3114, 45, 815, 45, 33, 2], [5, 3, 178, 475, 585, 2598, 420, 2862, 255, 695, 90, 23, 3], [5, 3, 179, 465, 630, 2478, 630, 2610, 465, 575, 135, 13, 4], [5, 3, 180, 455, 675, 2358, 840, 2358, 675, 455, 180, 3, 5], [5, 4, 168, 520, 465, 2808, 168, 3072, 135, 740, 80, 24, 3], [5, 4, 169, 510, 510, 2688, 378, 2820, 345, 620, 125, 14, 4], [5, 4, 170, 500, 555, 2568, 588, 2568, 555, 500, 170, 4, 5], [5, 5, 159, 555, 390, 2898, 126, 3030, 225, 665, 115, 15, 4], [5, 5, 160, 545, 435, 2778, 336, 2778, 435, 545, 160, 5, 5], [5, 6, 150, 590, 315, 2988, 84, 2988, 315, 590, 150, 6, 5]} (13, 8192, 9) has 1505 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, 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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, 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1014, 1938, 1443, 530, 343, 89, 2, 3], [3, 4, 68, 442, 255, 1938, 1344, 1476, 1905, 200, 508, 34, 13, 2], [3, 4, 68, 443, 245, 1983, 1224, 1686, 1653, 410, 388, 79, 3, 3], [3, 4, 69, 432, 300, 1818, 1554, 1224, 2115, 80, 553, 24, 14, 2], [3, 4, 69, 433, 290, 1863, 1434, 1434, 1863, 290, 433, 69, 4, 3], [3, 4, 70, 423, 335, 1743, 1644, 1182, 2073, 170, 478, 59, 5, 3], [3, 4, 71, 413, 380, 1623, 1854, 930, 2283, 50, 523, 49, 6, 3], [3, 5, 55, 516, 10, 2463, 582, 2232, 1407, 395, 483, 20, 20, 1], [3, 5, 55, 517, 0, 2508, 462, 2442, 1155, 605, 363, 65, 10, 2], [3, 5, 56, 506, 55, 2343, 792, 1980, 1617, 275, 528, 10, 21, 1], [3, 5, 56, 507, 45, 2388, 672, 2190, 1365, 485, 408, 55, 11, 2], [3, 5, 56, 508, 35, 2433, 552, 2400, 1113, 695, 288, 100, 1, 3], [3, 5, 57, 496, 100, 2223, 1002, 1728, 1827, 155, 573, 0, 22, 1], [3, 5, 57, 497, 90, 2268, 882, 1938, 1575, 365, 453, 45, 12, 2], [3, 5, 57, 498, 80, 2313, 762, 2148, 1323, 575, 333, 90, 2, 3], [3, 5, 58, 487, 135, 2148, 1092, 1686, 1785, 245, 498, 35, 13, 2], [3, 5, 58, 488, 125, 2193, 972, 1896, 1533, 455, 378, 80, 3, 3], [3, 5, 59, 477, 180, 2028, 1302, 1434, 1995, 125, 543, 25, 14, 2], [3, 5, 59, 478, 170, 2073, 1182, 1644, 1743, 335, 423, 70, 4, 3], [3, 5, 60, 467, 225, 1908, 1512, 1182, 2205, 5, 588, 15, 15, 2], [3, 5, 60, 468, 215, 1953, 1392, 1392, 1953, 215, 468, 60, 5, 3], [3, 5, 61, 458, 260, 1833, 1602, 1140, 2163, 95, 513, 50, 6, 3], [3, 6, 48, 532, 15, 2358, 840, 1896, 1665, 290, 488, 36, 13, 2], [3, 6, 48, 533, 5, 2403, 720, 2106, 1413, 500, 368, 81, 3, 3], [3, 6, 49, 522, 60, 2238, 1050, 1644, 1875, 170, 533, 26, 14, 2], [3, 6, 49, 523, 50, 2283, 930, 1854, 1623, 380, 413, 71, 4, 3], [3, 6, 50, 512, 105, 2118, 1260, 1392, 2085, 50, 578, 16, 15, 2], [3, 6, 50, 513, 95, 2163, 1140, 1602, 1833, 260, 458, 61, 5, 3], [3, 6, 51, 503, 140, 2043, 1350, 1350, 2043, 140, 503, 51, 6, 3], [3, 6, 52, 493, 185, 1923, 1560, 1098, 2253, 20, 548, 41, 7, 3], [3, 7, 41, 548, 20, 2253, 1098, 1560, 1923, 185, 493, 52, 6, 3], [3, 7, 42, 538, 65, 2133, 1308, 1308, 2133, 65, 538, 42, 7, 3], [4, 0, 60, 524, 40, 2196, 1272, 1272, 2196, 40, 524, 60, 0, 4]} (14, 8192, 9) has 5599 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, 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