-------
(14, 7168, 9) ALL distance distributions for INTERNAL point
(9, 7168, 9) has 1 possible DDs: {[14, 126, 504, 1176, 1764, 1764, 1176, 504, 126, 14]}
(10, 7168, 9) has 14 possible DDs: {[1, 130, 45, 1560, 210, 3276, 210, 1560, 45, 130, 1], [2, 120, 90, 1440, 420, 3024, 420, 1440, 90, 120, 2], [3, 110, 135, 1320, 630, 2772, 630, 1320, 135, 110, 3], [4, 100, 180, 1200, 840, 2520, 840, 1200, 180, 100, 4], [5, 90, 225, 1080, 1050, 2268, 1050, 1080, 225, 90, 5], [6, 80, 270, 960, 1260, 2016, 1260, 960, 270, 80, 6], [7, 70, 315, 840, 1470, 1764, 1470, 840, 315, 70, 7], [8, 60, 360, 720, 1680, 1512, 1680, 720, 360, 60, 8], [9, 50, 405, 600, 1890, 1260, 1890, 600, 405, 50, 9], [10, 40, 450, 480, 2100, 1008, 2100, 480, 450, 40, 10], [11, 30, 495, 360, 2310, 756, 2310, 360, 495, 30, 11], [12, 20, 540, 240, 2520, 504, 2520, 240, 540, 20, 12], [13, 10, 585, 120, 2730, 252, 2730, 120, 585, 10, 13], [14, 0, 630, 0, 2940, 0, 2940, 0, 630, 0, 14]}
(11, 7168, 9) has 56 possible DDs: {[1, 60, 115, 720, 1050, 1512, 1974, 720, 885, 60, 71, 0], [1, 61, 105, 765, 930, 1722, 1722, 930, 765, 105, 61, 1], [1, 62, 95, 810, 810, 1932, 1470, 1140, 645, 150, 51, 2], [1, 63, 85, 855, 690, 2142, 1218, 1350, 525, 195, 41, 3], [1, 64, 75, 900, 570, 2352, 966, 1560, 405, 240, 31, 4], [1, 65, 65, 945, 450, 2562, 714, 1770, 285, 285, 21, 5], [1, 66, 55, 990, 330, 2772, 462, 1980, 165, 330, 11, 6], [1, 67, 45, 1035, 210, 2982, 210, 2190, 45, 375, 1, 7], [2, 50, 160, 600, 1260, 1260, 2184, 600, 930, 50, 72, 0], [2, 51, 150, 645, 1140, 1470, 1932, 810, 810, 95, 62, 1], [2, 52, 140, 690, 1020, 1680, 1680, 1020, 690, 140, 52, 2], [2, 53, 130, 735, 900, 1890, 1428, 1230, 570, 185, 42, 3], [2, 54, 120, 780, 780, 2100, 1176, 1440, 450, 230, 32, 4], [2, 55, 110, 825, 660, 2310, 924, 1650, 330, 275, 22, 5], [2, 56, 100, 870, 540, 2520, 672, 1860, 210, 320, 12, 6], [2, 57, 90, 915, 420, 2730, 420, 2070, 90, 365, 2, 7], [3, 40, 205, 480, 1470, 1008, 2394, 480, 975, 40, 73, 0], [3, 41, 195, 525, 1350, 1218, 2142, 690, 855, 85, 63, 1], [3, 42, 185, 570, 1230, 1428, 1890, 900, 735, 130, 53, 2], [3, 43, 175, 615, 1110, 1638, 1638, 1110, 615, 175, 43, 3], [3, 44, 165, 660, 990, 1848, 1386, 1320, 495, 220, 33, 4], [3, 45, 155, 705, 870, 2058, 1134, 1530, 375, 265, 23, 5], [3, 46, 145, 750, 750, 2268, 882, 1740, 255, 310, 13, 6], [3, 47, 135, 795, 630, 2478, 630, 1950, 135, 355, 3, 7], [4, 30, 250, 360, 1680, 756, 2604, 360, 1020, 30, 74, 0], [4, 31, 240, 405, 1560, 966, 2352, 570, 900, 75, 64, 1], [4, 32, 230, 450, 1440, 1176, 2100, 780, 780, 120, 54, 2], [4, 33, 220, 495, 1320, 1386, 1848, 990, 660, 165, 44, 3], [4, 34, 210, 540, 1200, 1596, 1596, 1200, 540, 210, 34, 4], [4, 35, 200, 585, 1080, 1806, 1344, 1410, 420, 255, 24, 5], [4, 36, 190, 630, 960, 2016, 1092, 1620, 300, 300, 14, 6], [4, 37, 180, 675, 840, 2226, 840, 1830, 180, 345, 4, 7], [5, 20, 295, 240, 1890, 504, 2814, 240, 1065, 20, 75, 0], [5, 21, 285, 285, 1770, 714, 2562, 450, 945, 65, 65, 1], [5, 22, 275, 330, 1650, 924, 2310, 660, 825, 110, 55, 2], [5, 23, 265, 375, 1530, 1134, 2058, 870, 705, 155, 45, 3], [5, 24, 255, 420, 1410, 1344, 1806, 1080, 585, 200, 35, 4], [5, 25, 245, 465, 1290, 1554, 1554, 1290, 465, 245, 25, 5], [5, 26, 235, 510, 1170, 1764, 1302, 1500, 345, 290, 15, 6], [5, 27, 225, 555, 1050, 1974, 1050, 1710, 225, 335, 5, 7], [6, 10, 340, 120, 2100, 252, 3024, 120, 1110, 10, 76, 0], [6, 11, 330, 165, 1980, 462, 2772, 330, 990, 55, 66, 1], [6, 12, 320, 210, 1860, 672, 2520, 540, 870, 100, 56, 2], [6, 13, 310, 255, 1740, 882, 2268, 750, 750, 145, 46, 3], [6, 14, 300, 300, 1620, 1092, 2016, 960, 630, 190, 36, 4], [6, 15, 290, 345, 1500, 1302, 1764, 1170, 510, 235, 26, 5], [6, 16, 280, 390, 1380, 1512, 1512, 1380, 390, 280, 16, 6], [6, 17, 270, 435, 1260, 1722, 1260, 1590, 270, 325, 6, 7], [7, 0, 385, 0, 2310, 0, 3234, 0, 1155, 0, 77, 0], [7, 1, 375, 45, 2190, 210, 2982, 210, 1035, 45, 67, 1], [7, 2, 365, 90, 2070, 420, 2730, 420, 915, 90, 57, 2], [7, 3, 355, 135, 1950, 630, 2478, 630, 795, 135, 47, 3], [7, 4, 345, 180, 1830, 840, 2226, 840, 675, 180, 37, 4], [7, 5, 335, 225, 1710, 1050, 1974, 1050, 555, 225, 27, 5], [7, 6, 325, 270, 1590, 1260, 1722, 1260, 435, 270, 17, 6], [7, 7, 315, 315, 1470, 1470, 1470, 1470, 315, 315, 7, 7]}
(12, 7168, 9) has 204 possible DDs: {[1, 20, 165, 110, 1650, 0, 3234, 132, 1485, 220, 121, 30, 0], [1, 21, 155, 155, 1530, 210, 2982, 342, 1365, 265, 111, 31, 0], [1, 21, 156, 145, 1575, 90, 3192, 90, 1575, 145, 156, 21, 1], [1, 22, 145, 200, 1410, 420, 2730, 552, 1245, 310, 101, 32, 0], [1, 22, 146, 190, 1455, 300, 2940, 300, 1455, 190, 146, 22, 1], [1, 22, 147, 180, 1500, 180, 3150, 48, 1665, 70, 191, 12, 2], [1, 23, 135, 245, 1290, 630, 2478, 762, 1125, 355, 91, 33, 0], [1, 23, 136, 235, 1335, 510, 2688, 510, 1335, 235, 136, 23, 1], [1, 23, 137, 225, 1380, 390, 2898, 258, 1545, 115, 181, 13, 2], [1, 24, 125, 290, 1170, 840, 2226, 972, 1005, 400, 81, 34, 0], [1, 24, 126, 280, 1215, 720, 2436, 720, 1215, 280, 126, 24, 1], [1, 24, 127, 270, 1260, 600, 2646, 468, 1425, 160, 171, 14, 2], [1, 24, 128, 260, 1305, 480, 2856, 216, 1635, 40, 216, 4, 3], [1, 25, 115, 335, 1050, 1050, 1974, 1182, 885, 445, 71, 35, 0], [1, 25, 116, 325, 1095, 930, 2184, 930, 1095, 325, 116, 25, 1], [1, 25, 117, 315, 1140, 810, 2394, 678, 1305, 205, 161, 15, 2], [1, 25, 118, 305, 1185, 690, 2604, 426, 1515, 85, 206, 5, 3], [1, 26, 105, 380, 930, 1260, 1722, 1392, 765, 490, 61, 36, 0], [1, 26, 106, 370, 975, 1140, 1932, 1140, 975, 370, 106, 26, 1], [1, 26, 107, 360, 1020, 1020, 2142, 888, 1185, 250, 151, 16, 2], [1, 26, 108, 350, 1065, 900, 2352, 636, 1395, 130, 196, 6, 3], [1, 27, 95, 425, 810, 1470, 1470, 1602, 645, 535, 51, 37, 0], [1, 27, 96, 415, 855, 1350, 1680, 1350, 855, 415, 96, 27, 1], [1, 27, 97, 405, 900, 1230, 1890, 1098, 1065, 295, 141, 17, 2], [1, 27, 98, 395, 945, 1110, 2100, 846, 1275, 175, 186, 7, 3], [1, 28, 85, 470, 690, 1680, 1218, 1812, 525, 580, 41, 38, 0], [1, 28, 86, 460, 735, 1560, 1428, 1560, 735, 460, 86, 28, 1], [1, 28, 87, 450, 780, 1440, 1638, 1308, 945, 340, 131, 18, 2], [1, 28, 88, 440, 825, 1320, 1848, 1056, 1155, 220, 176, 8, 3], [1, 29, 75, 515, 570, 1890, 966, 2022, 405, 625, 31, 39, 0], [1, 29, 76, 505, 615, 1770, 1176, 1770, 615, 505, 76, 29, 1], [1, 29, 77, 495, 660, 1650, 1386, 1518, 825, 385, 121, 19, 2], [1, 29, 78, 485, 705, 1530, 1596, 1266, 1035, 265, 166, 9, 3], [1, 30, 65, 560, 450, 2100, 714, 2232, 285, 670, 21, 40, 0], [1, 30, 66, 550, 495, 1980, 924, 1980, 495, 550, 66, 30, 1], [1, 30, 67, 540, 540, 1860, 1134, 1728, 705, 430, 111, 20, 2], [1, 30, 68, 530, 585, 1740, 1344, 1476, 915, 310, 156, 10, 3], [1, 30, 69, 520, 630, 1620, 1554, 1224, 1125, 190, 201, 0, 4], [1, 31, 55, 605, 330, 2310, 462, 2442, 165, 715, 11, 41, 0], [1, 31, 56, 595, 375, 2190, 672, 2190, 375, 595, 56, 31, 1], [1, 31, 57, 585, 420, 2070, 882, 1938, 585, 475, 101, 21, 2], [1, 31, 58, 575, 465, 1950, 1092, 1686, 795, 355, 146, 11, 3], [1, 31, 59, 565, 510, 1830, 1302, 1434, 1005, 235, 191, 1, 4], [1, 32, 45, 650, 210, 2520, 210, 2652, 45, 760, 1, 42, 0], [1, 32, 46, 640, 255, 2400, 420, 2400, 255, 640, 46, 32, 1], [1, 32, 47, 630, 300, 2280, 630, 2148, 465, 520, 91, 22, 2], [1, 32, 48, 620, 345, 2160, 840, 1896, 675, 400, 136, 12, 3], [1, 32, 49, 610, 390, 2040, 1050, 1644, 885, 280, 181, 2, 4], [1, 33, 36, 685, 135, 2610, 168, 2610, 135, 685, 36, 33, 1], [1, 33, 37, 675, 180, 2490, 378, 2358, 345, 565, 81, 23, 2], [1, 33, 38, 665, 225, 2370, 588, 2106, 555, 445, 126, 13, 3], [1, 33, 39, 655, 270, 2250, 798, 1854, 765, 325, 171, 3, 4], [1, 34, 27, 720, 60, 2700, 126, 2568, 225, 610, 71, 24, 2], [1, 34, 28, 710, 105, 2580, 336, 2316, 435, 490, 116, 14, 3], [1, 34, 29, 700, 150, 2460, 546, 2064, 645, 370, 161, 4, 4], [1, 35, 19, 745, 30, 2670, 294, 2274, 525, 415, 151, 5, 4], [2, 12, 190, 80, 1620, 168, 2940, 432, 1290, 300, 102, 32, 0], [2, 12, 191, 70, 1665, 48, 3150, 180, 1500, 180, 147, 22, 1], [2, 13, 180, 125, 1500, 378, 2688, 642, 1170, 345, 92, 33, 0], [2, 13, 181, 115, 1545, 258, 2898, 390, 1380, 225, 137, 23, 1], [2, 13, 182, 105, 1590, 138, 3108, 138, 1590, 105, 182, 13, 2], [2, 14, 170, 170, 1380, 588, 2436, 852, 1050, 390, 82, 34, 0], [2, 14, 171, 160, 1425, 468, 2646, 600, 1260, 270, 127, 24, 1], [2, 14, 172, 150, 1470, 348, 2856, 348, 1470, 150, 172, 14, 2], [2, 14, 173, 140, 1515, 228, 3066, 96, 1680, 30, 217, 4, 3], [2, 15, 160, 215, 1260, 798, 2184, 1062, 930, 435, 72, 35, 0], [2, 15, 161, 205, 1305, 678, 2394, 810, 1140, 315, 117, 25, 1], [2, 15, 162, 195, 1350, 558, 2604, 558, 1350, 195, 162, 15, 2], [2, 15, 163, 185, 1395, 438, 2814, 306, 1560, 75, 207, 5, 3], [2, 16, 150, 260, 1140, 1008, 1932, 1272, 810, 480, 62, 36, 0], [2, 16, 151, 250, 1185, 888, 2142, 1020, 1020, 360, 107, 26, 1], [2, 16, 152, 240, 1230, 768, 2352, 768, 1230, 240, 152, 16, 2], [2, 16, 153, 230, 1275, 648, 2562, 516, 1440, 120, 197, 6, 3], [2, 17, 140, 305, 1020, 1218, 1680, 1482, 690, 525, 52, 37, 0], [2, 17, 141, 295, 1065, 1098, 1890, 1230, 900, 405, 97, 27, 1], [2, 17, 142, 285, 1110, 978, 2100, 978, 1110, 285, 142, 17, 2], [2, 17, 143, 275, 1155, 858, 2310, 726, 1320, 165, 187, 7, 3], [2, 18, 130, 350, 900, 1428, 1428, 1692, 570, 570, 42, 38, 0], [2, 18, 131, 340, 945, 1308, 1638, 1440, 780, 450, 87, 28, 1], [2, 18, 132, 330, 990, 1188, 1848, 1188, 990, 330, 132, 18, 2], [2, 18, 133, 320, 1035, 1068, 2058, 936, 1200, 210, 177, 8, 3], [2, 19, 120, 395, 780, 1638, 1176, 1902, 450, 615, 32, 39, 0], [2, 19, 121, 385, 825, 1518, 1386, 1650, 660, 495, 77, 29, 1], [2, 19, 122, 375, 870, 1398, 1596, 1398, 870, 375, 122, 19, 2], [2, 19, 123, 365, 915, 1278, 1806, 1146, 1080, 255, 167, 9, 3], [2, 20, 110, 440, 660, 1848, 924, 2112, 330, 660, 22, 40, 0], [2, 20, 111, 430, 705, 1728, 1134, 1860, 540, 540, 67, 30, 1], [2, 20, 112, 420, 750, 1608, 1344, 1608, 750, 420, 112, 20, 2], [2, 20, 113, 410, 795, 1488, 1554, 1356, 960, 300, 157, 10, 3], [2, 20, 114, 400, 840, 1368, 1764, 1104, 1170, 180, 202, 0, 4], [2, 21, 100, 485, 540, 2058, 672, 2322, 210, 705, 12, 41, 0], [2, 21, 101, 475, 585, 1938, 882, 2070, 420, 585, 57, 31, 1], [2, 21, 102, 465, 630, 1818, 1092, 1818, 630, 465, 102, 21, 2], [2, 21, 103, 455, 675, 1698, 1302, 1566, 840, 345, 147, 11, 3], [2, 21, 104, 445, 720, 1578, 1512, 1314, 1050, 225, 192, 1, 4], [2, 22, 90, 530, 420, 2268, 420, 2532, 90, 750, 2, 42, 0], [2, 22, 91, 520, 465, 2148, 630, 2280, 300, 630, 47, 32, 1], [2, 22, 92, 510, 510, 2028, 840, 2028, 510, 510, 92, 22, 2], [2, 22, 93, 500, 555, 1908, 1050, 1776, 720, 390, 137, 12, 3], [2, 22, 94, 490, 600, 1788, 1260, 1524, 930, 270, 182, 2, 4], [2, 23, 81, 565, 345, 2358, 378, 2490, 180, 675, 37, 33, 1], [2, 23, 82, 555, 390, 2238, 588, 2238, 390, 555, 82, 23, 2], [2, 23, 83, 545, 435, 2118, 798, 1986, 600, 435, 127, 13, 3], [2, 23, 84, 535, 480, 1998, 1008, 1734, 810, 315, 172, 3, 4], [2, 24, 71, 610, 225, 2568, 126, 2700, 60, 720, 27, 34, 1], [2, 24, 72, 600, 270, 2448, 336, 2448, 270, 600, 72, 24, 2], [2, 24, 73, 590, 315, 2328, 546, 2196, 480, 480, 117, 14, 3], [2, 24, 74, 580, 360, 2208, 756, 1944, 690, 360, 162, 4, 4], [2, 25, 62, 645, 150, 2658, 84, 2658, 150, 645, 62, 25, 2], [2, 25, 63, 635, 195, 2538, 294, 2406, 360, 525, 107, 15, 3], [2, 25, 64, 625, 240, 2418, 504, 2154, 570, 405, 152, 5, 4], [2, 26, 53, 680, 75, 2748, 42, 2616, 240, 570, 97, 16, 3], [2, 26, 54, 670, 120, 2628, 252, 2364, 450, 450, 142, 6, 4], [2, 27, 44, 715, 0, 2838, 0, 2574, 330, 495, 132, 7, 4], [3, 3, 225, 5, 1710, 126, 2898, 522, 1215, 335, 93, 33, 0], [3, 4, 215, 50, 1590, 336, 2646, 732, 1095, 380, 83, 34, 0], [3, 4, 216, 40, 1635, 216, 2856, 480, 1305, 260, 128, 24, 1], [3, 4, 217, 30, 1680, 96, 3066, 228, 1515, 140, 173, 14, 2], [3, 5, 205, 95, 1470, 546, 2394, 942, 975, 425, 73, 35, 0], [3, 5, 206, 85, 1515, 426, 2604, 690, 1185, 305, 118, 25, 1], [3, 5, 207, 75, 1560, 306, 2814, 438, 1395, 185, 163, 15, 2], [3, 5, 208, 65, 1605, 186, 3024, 186, 1605, 65, 208, 5, 3], [3, 6, 195, 140, 1350, 756, 2142, 1152, 855, 470, 63, 36, 0], [3, 6, 196, 130, 1395, 636, 2352, 900, 1065, 350, 108, 26, 1], [3, 6, 197, 120, 1440, 516, 2562, 648, 1275, 230, 153, 16, 2], [3, 6, 198, 110, 1485, 396, 2772, 396, 1485, 110, 198, 6, 3], [3, 7, 185, 185, 1230, 966, 1890, 1362, 735, 515, 53, 37, 0], [3, 7, 186, 175, 1275, 846, 2100, 1110, 945, 395, 98, 27, 1], [3, 7, 187, 165, 1320, 726, 2310, 858, 1155, 275, 143, 17, 2], [3, 7, 188, 155, 1365, 606, 2520, 606, 1365, 155, 188, 7, 3], [3, 8, 175, 230, 1110, 1176, 1638, 1572, 615, 560, 43, 38, 0], [3, 8, 176, 220, 1155, 1056, 1848, 1320, 825, 440, 88, 28, 1], [3, 8, 177, 210, 1200, 936, 2058, 1068, 1035, 320, 133, 18, 2], [3, 8, 178, 200, 1245, 816, 2268, 816, 1245, 200, 178, 8, 3], [3, 9, 165, 275, 990, 1386, 1386, 1782, 495, 605, 33, 39, 0], [3, 9, 166, 265, 1035, 1266, 1596, 1530, 705, 485, 78, 29, 1], [3, 9, 167, 255, 1080, 1146, 1806, 1278, 915, 365, 123, 19, 2], [3, 9, 168, 245, 1125, 1026, 2016, 1026, 1125, 245, 168, 9, 3], [3, 10, 155, 320, 870, 1596, 1134, 1992, 375, 650, 23, 40, 0], [3, 10, 156, 310, 915, 1476, 1344, 1740, 585, 530, 68, 30, 1], [3, 10, 157, 300, 960, 1356, 1554, 1488, 795, 410, 113, 20, 2], [3, 10, 158, 290, 1005, 1236, 1764, 1236, 1005, 290, 158, 10, 3], [3, 10, 159, 280, 1050, 1116, 1974, 984, 1215, 170, 203, 0, 4], [3, 11, 145, 365, 750, 1806, 882, 2202, 255, 695, 13, 41, 0], [3, 11, 146, 355, 795, 1686, 1092, 1950, 465, 575, 58, 31, 1], [3, 11, 147, 345, 840, 1566, 1302, 1698, 675, 455, 103, 21, 2], [3, 11, 148, 335, 885, 1446, 1512, 1446, 885, 335, 148, 11, 3], [3, 11, 149, 325, 930, 1326, 1722, 1194, 1095, 215, 193, 1, 4], [3, 12, 135, 410, 630, 2016, 630, 2412, 135, 740, 3, 42, 0], [3, 12, 136, 400, 675, 1896, 840, 2160, 345, 620, 48, 32, 1], [3, 12, 137, 390, 720, 1776, 1050, 1908, 555, 500, 93, 22, 2], [3, 12, 138, 380, 765, 1656, 1260, 1656, 765, 380, 138, 12, 3], [3, 12, 139, 370, 810, 1536, 1470, 1404, 975, 260, 183, 2, 4], [3, 13, 126, 445, 555, 2106, 588, 2370, 225, 665, 38, 33, 1], [3, 13, 127, 435, 600, 1986, 798, 2118, 435, 545, 83, 23, 2], [3, 13, 128, 425, 645, 1866, 1008, 1866, 645, 425, 128, 13, 3], [3, 13, 129, 415, 690, 1746, 1218, 1614, 855, 305, 173, 3, 4], [3, 14, 116, 490, 435, 2316, 336, 2580, 105, 710, 28, 34, 1], [3, 14, 117, 480, 480, 2196, 546, 2328, 315, 590, 73, 24, 2], [3, 14, 118, 470, 525, 2076, 756, 2076, 525, 470, 118, 14, 3], [3, 14, 119, 460, 570, 1956, 966, 1824, 735, 350, 163, 4, 4], [3, 15, 107, 525, 360, 2406, 294, 2538, 195, 635, 63, 25, 2], [3, 15, 108, 515, 405, 2286, 504, 2286, 405, 515, 108, 15, 3], [3, 15, 109, 505, 450, 2166, 714, 2034, 615, 395, 153, 5, 4], [3, 16, 97, 570, 240, 2616, 42, 2748, 75, 680, 53, 26, 2], [3, 16, 98, 560, 285, 2496, 252, 2496, 285, 560, 98, 16, 3], [3, 16, 99, 550, 330, 2376, 462, 2244, 495, 440, 143, 6, 4], [3, 17, 88, 605, 165, 2706, 0, 2706, 165, 605, 88, 17, 3], [3, 17, 89, 595, 210, 2586, 210, 2454, 375, 485, 133, 7, 4], [4, 0, 200, 200, 1080, 1344, 1344, 1872, 420, 640, 24, 40, 0], [4, 0, 201, 190, 1125, 1224, 1554, 1620, 630, 520, 69, 30, 1], [4, 0, 202, 180, 1170, 1104, 1764, 1368, 840, 400, 114, 20, 2], [4, 0, 203, 170, 1215, 984, 1974, 1116, 1050, 280, 159, 10, 3], [4, 0, 204, 160, 1260, 864, 2184, 864, 1260, 160, 204, 0, 4], [4, 1, 190, 245, 960, 1554, 1092, 2082, 300, 685, 14, 41, 0], [4, 1, 191, 235, 1005, 1434, 1302, 1830, 510, 565, 59, 31, 1], [4, 1, 192, 225, 1050, 1314, 1512, 1578, 720, 445, 104, 21, 2], [4, 1, 193, 215, 1095, 1194, 1722, 1326, 930, 325, 149, 11, 3], [4, 1, 194, 205, 1140, 1074, 1932, 1074, 1140, 205, 194, 1, 4], [4, 2, 180, 290, 840, 1764, 840, 2292, 180, 730, 4, 42, 0], [4, 2, 181, 280, 885, 1644, 1050, 2040, 390, 610, 49, 32, 1], [4, 2, 182, 270, 930, 1524, 1260, 1788, 600, 490, 94, 22, 2], [4, 2, 183, 260, 975, 1404, 1470, 1536, 810, 370, 139, 12, 3], [4, 2, 184, 250, 1020, 1284, 1680, 1284, 1020, 250, 184, 2, 4], [4, 3, 171, 325, 765, 1854, 798, 2250, 270, 655, 39, 33, 1], [4, 3, 172, 315, 810, 1734, 1008, 1998, 480, 535, 84, 23, 2], [4, 3, 173, 305, 855, 1614, 1218, 1746, 690, 415, 129, 13, 3], [4, 3, 174, 295, 900, 1494, 1428, 1494, 900, 295, 174, 3, 4], [4, 4, 161, 370, 645, 2064, 546, 2460, 150, 700, 29, 34, 1], [4, 4, 162, 360, 690, 1944, 756, 2208, 360, 580, 74, 24, 2], [4, 4, 163, 350, 735, 1824, 966, 1956, 570, 460, 119, 14, 3], [4, 4, 164, 340, 780, 1704, 1176, 1704, 780, 340, 164, 4, 4], [4, 5, 151, 415, 525, 2274, 294, 2670, 30, 745, 19, 35, 1], [4, 5, 152, 405, 570, 2154, 504, 2418, 240, 625, 64, 25, 2], [4, 5, 153, 395, 615, 2034, 714, 2166, 450, 505, 109, 15, 3], [4, 5, 154, 385, 660, 1914, 924, 1914, 660, 385, 154, 5, 4], [4, 6, 142, 450, 450, 2364, 252, 2628, 120, 670, 54, 26, 2], [4, 6, 143, 440, 495, 2244, 462, 2376, 330, 550, 99, 16, 3], [4, 6, 144, 430, 540, 2124, 672, 2124, 540, 430, 144, 6, 4], [4, 7, 132, 495, 330, 2574, 0, 2838, 0, 715, 44, 27, 2], [4, 7, 133, 485, 375, 2454, 210, 2586, 210, 595, 89, 17, 3], [4, 7, 134, 475, 420, 2334, 420, 2334, 420, 475, 134, 7, 4], [4, 8, 124, 520, 300, 2544, 168, 2544, 300, 520, 124, 8, 4], [5, 0, 150, 480, 315, 2592, 84, 2592, 315, 480, 150, 0, 5]}
(13, 7168, 9) has 629 possible DDs: {[1, 3, 136, 5, 1105, 654, 1512, 2106, 291, 1215, 16, 113, 11, 0], [1, 4, 126, 50, 985, 864, 1260, 2316, 171, 1260, 6, 114, 11, 0], [1, 4, 127, 40, 1030, 744, 1470, 2064, 381, 1140, 51, 104, 12, 0], [1, 4, 128, 30, 1075, 624, 1680, 1812, 591, 1020, 96, 94, 13, 0], [1, 4, 129, 20, 1120, 504, 1890, 1560, 801, 900, 141, 84, 14, 0], [1, 4, 129, 21, 1110, 549, 1770, 1770, 549, 1110, 21, 129, 4, 1], [1, 4, 130, 10, 1165, 384, 2100, 1308, 1011, 780, 186, 74, 15, 0], [1, 4, 130, 11, 1155, 429, 1980, 1518, 759, 990, 66, 119, 5, 1], [1, 4, 131, 0, 1210, 264, 2310, 1056, 1221, 660, 231, 64, 16, 0], [1, 4, 131, 1, 1200, 309, 2190, 1266, 969, 870, 111, 109, 6, 1], [1, 5, 117, 85, 910, 954, 1218, 2274, 261, 1185, 41, 105, 12, 0], [1, 5, 118, 75, 955, 834, 1428, 2022, 471, 1065, 86, 95, 13, 0], [1, 5, 119, 65, 1000, 714, 1638, 1770, 681, 945, 131, 85, 14, 0], [1, 5, 119, 66, 990, 759, 1518, 1980, 429, 1155, 11, 130, 4, 1], [1, 5, 120, 55, 1045, 594, 1848, 1518, 891, 825, 176, 75, 15, 0], [1, 5, 120, 56, 1035, 639, 1728, 1728, 639, 1035, 56, 120, 5, 1], [1, 5, 121, 45, 1090, 474, 2058, 1266, 1101, 705, 221, 65, 16, 0], [1, 5, 121, 46, 1080, 519, 1938, 1476, 849, 915, 101, 110, 6, 1], [1, 5, 122, 35, 1135, 354, 2268, 1014, 1311, 585, 266, 55, 17, 0], [1, 5, 122, 36, 1125, 399, 2148, 1224, 1059, 795, 146, 100, 7, 1], [1, 5, 123, 25, 1180, 234, 2478, 762, 1521, 465, 311, 45, 18, 0], [1, 5, 123, 26, 1170, 279, 2358, 972, 1269, 675, 191, 90, 8, 1], [1, 5, 124, 15, 1225, 114, 2688, 510, 1731, 345, 356, 35, 19, 0], [1, 5, 124, 16, 1215, 159, 2568, 720, 1479, 555, 236, 80, 9, 1], [1, 5, 125, 6, 1260, 39, 2778, 468, 1689, 435, 281, 70, 10, 1], [1, 5, 125, 7, 1250, 84, 2658, 678, 1437, 645, 161, 115, 0, 2], [1, 6, 107, 130, 790, 1164, 966, 2484, 141, 1230, 31, 106, 12, 0], [1, 6, 108, 120, 835, 1044, 1176, 2232, 351, 1110, 76, 96, 13, 0], [1, 6, 109, 110, 880, 924, 1386, 1980, 561, 990, 121, 86, 14, 0], [1, 6, 109, 111, 870, 969, 1266, 2190, 309, 1200, 1, 131, 4, 1], [1, 6, 110, 100, 925, 804, 1596, 1728, 771, 870, 166, 76, 15, 0], [1, 6, 110, 101, 915, 849, 1476, 1938, 519, 1080, 46, 121, 5, 1], [1, 6, 111, 90, 970, 684, 1806, 1476, 981, 750, 211, 66, 16, 0], [1, 6, 111, 91, 960, 729, 1686, 1686, 729, 960, 91, 111, 6, 1], [1, 6, 112, 80, 1015, 564, 2016, 1224, 1191, 630, 256, 56, 17, 0], [1, 6, 112, 81, 1005, 609, 1896, 1434, 939, 840, 136, 101, 7, 1], [1, 6, 113, 70, 1060, 444, 2226, 972, 1401, 510, 301, 46, 18, 0], [1, 6, 113, 71, 1050, 489, 2106, 1182, 1149, 720, 181, 91, 8, 1], [1, 6, 114, 60, 1105, 324, 2436, 720, 1611, 390, 346, 36, 19, 0], [1, 6, 114, 61, 1095, 369, 2316, 930, 1359, 600, 226, 81, 9, 1], [1, 6, 115, 50, 1150, 204, 2646, 468, 1821, 270, 391, 26, 20, 0], [1, 6, 115, 51, 1140, 249, 2526, 678, 1569, 480, 271, 71, 10, 1], [1, 6, 115, 52, 1130, 294, 2406, 888, 1317, 690, 151, 116, 0, 2], [1, 6, 116, 40, 1195, 84, 2856, 216, 2031, 150, 436, 16, 21, 0], [1, 6, 116, 41, 1185, 129, 2736, 426, 1779, 360, 316, 61, 11, 1], [1, 6, 116, 42, 1175, 174, 2616, 636, 1527, 570, 196, 106, 1, 2], [1, 6, 117, 31, 1230, 9, 2946, 174, 1989, 240, 361, 51, 12, 1], [1, 6, 117, 32, 1220, 54, 2826, 384, 1737, 450, 241, 96, 2, 2], [1, 7, 97, 175, 670, 1374, 714, 2694, 21, 1275, 21, 107, 12, 0], [1, 7, 98, 165, 715, 1254, 924, 2442, 231, 1155, 66, 97, 13, 0], [1, 7, 99, 155, 760, 1134, 1134, 2190, 441, 1035, 111, 87, 14, 0], [1, 7, 100, 145, 805, 1014, 1344, 1938, 651, 915, 156, 77, 15, 0], [1, 7, 100, 146, 795, 1059, 1224, 2148, 399, 1125, 36, 122, 5, 1], [1, 7, 101, 135, 850, 894, 1554, 1686, 861, 795, 201, 67, 16, 0], [1, 7, 101, 136, 840, 939, 1434, 1896, 609, 1005, 81, 112, 6, 1], [1, 7, 102, 125, 895, 774, 1764, 1434, 1071, 675, 246, 57, 17, 0], [1, 7, 102, 126, 885, 819, 1644, 1644, 819, 885, 126, 102, 7, 1], [1, 7, 103, 115, 940, 654, 1974, 1182, 1281, 555, 291, 47, 18, 0], [1, 7, 103, 116, 930, 699, 1854, 1392, 1029, 765, 171, 92, 8, 1], [1, 7, 104, 105, 985, 534, 2184, 930, 1491, 435, 336, 37, 19, 0], [1, 7, 104, 106, 975, 579, 2064, 1140, 1239, 645, 216, 82, 9, 1], [1, 7, 105, 95, 1030, 414, 2394, 678, 1701, 315, 381, 27, 20, 0], [1, 7, 105, 96, 1020, 459, 2274, 888, 1449, 525, 261, 72, 10, 1], [1, 7, 105, 97, 1010, 504, 2154, 1098, 1197, 735, 141, 117, 0, 2], [1, 7, 106, 85, 1075, 294, 2604, 426, 1911, 195, 426, 17, 21, 0], [1, 7, 106, 86, 1065, 339, 2484, 636, 1659, 405, 306, 62, 11, 1], [1, 7, 106, 87, 1055, 384, 2364, 846, 1407, 615, 186, 107, 1, 2], [1, 7, 107, 75, 1120, 174, 2814, 174, 2121, 75, 471, 7, 22, 0], [1, 7, 107, 76, 1110, 219, 2694, 384, 1869, 285, 351, 52, 12, 1], [1, 7, 107, 77, 1100, 264, 2574, 594, 1617, 495, 231, 97, 2, 2], [1, 7, 108, 66, 1155, 99, 2904, 132, 2079, 165, 396, 42, 13, 1], [1, 7, 108, 67, 1145, 144, 2784, 342, 1827, 375, 276, 87, 3, 2], [1, 7, 109, 57, 1190, 24, 2994, 90, 2037, 255, 321, 77, 4, 2], [1, 8, 88, 210, 595, 1464, 672, 2652, 111, 1200, 56, 98, 13, 0], [1, 8, 89, 200, 640, 1344, 882, 2400, 321, 1080, 101, 88, 14, 0], [1, 8, 90, 190, 685, 1224, 1092, 2148, 531, 960, 146, 78, 15, 0], [1, 8, 90, 191, 675, 1269, 972, 2358, 279, 1170, 26, 123, 5, 1], [1, 8, 91, 180, 730, 1104, 1302, 1896, 741, 840, 191, 68, 16, 0], [1, 8, 91, 181, 720, 1149, 1182, 2106, 489, 1050, 71, 113, 6, 1], [1, 8, 92, 170, 775, 984, 1512, 1644, 951, 720, 236, 58, 17, 0], [1, 8, 92, 171, 765, 1029, 1392, 1854, 699, 930, 116, 103, 7, 1], [1, 8, 93, 160, 820, 864, 1722, 1392, 1161, 600, 281, 48, 18, 0], [1, 8, 93, 161, 810, 909, 1602, 1602, 909, 810, 161, 93, 8, 1], [1, 8, 94, 150, 865, 744, 1932, 1140, 1371, 480, 326, 38, 19, 0], [1, 8, 94, 151, 855, 789, 1812, 1350, 1119, 690, 206, 83, 9, 1], [1, 8, 95, 140, 910, 624, 2142, 888, 1581, 360, 371, 28, 20, 0], [1, 8, 95, 141, 900, 669, 2022, 1098, 1329, 570, 251, 73, 10, 1], [1, 8, 95, 142, 890, 714, 1902, 1308, 1077, 780, 131, 118, 0, 2], [1, 8, 96, 130, 955, 504, 2352, 636, 1791, 240, 416, 18, 21, 0], [1, 8, 96, 131, 945, 549, 2232, 846, 1539, 450, 296, 63, 11, 1], [1, 8, 96, 132, 935, 594, 2112, 1056, 1287, 660, 176, 108, 1, 2], [1, 8, 97, 120, 1000, 384, 2562, 384, 2001, 120, 461, 8, 22, 0], [1, 8, 97, 121, 990, 429, 2442, 594, 1749, 330, 341, 53, 12, 1], [1, 8, 97, 122, 980, 474, 2322, 804, 1497, 540, 221, 98, 2, 2], [1, 8, 98, 111, 1035, 309, 2652, 342, 1959, 210, 386, 43, 13, 1], [1, 8, 98, 112, 1025, 354, 2532, 552, 1707, 420, 266, 88, 3, 2], [1, 8, 99, 101, 1080, 189, 2862, 90, 2169, 90, 431, 33, 14, 1], [1, 8, 99, 102, 1070, 234, 2742, 300, 1917, 300, 311, 78, 4, 2], [1, 8, 100, 92, 1115, 114, 2952, 48, 2127, 180, 356, 68, 5, 2], [1, 9, 79, 245, 520, 1554, 630, 2610, 201, 1125, 91, 89, 14, 0], [1, 9, 80, 235, 565, 1434, 840, 2358, 411, 1005, 136, 79, 15, 0], [1, 9, 80, 236, 555, 1479, 720, 2568, 159, 1215, 16, 124, 5, 1], [1, 9, 81, 225, 610, 1314, 1050, 2106, 621, 885, 181, 69, 16, 0], [1, 9, 81, 226, 600, 1359, 930, 2316, 369, 1095, 61, 114, 6, 1], [1, 9, 82, 215, 655, 1194, 1260, 1854, 831, 765, 226, 59, 17, 0], [1, 9, 82, 216, 645, 1239, 1140, 2064, 579, 975, 106, 104, 7, 1], [1, 9, 83, 205, 700, 1074, 1470, 1602, 1041, 645, 271, 49, 18, 0], [1, 9, 83, 206, 690, 1119, 1350, 1812, 789, 855, 151, 94, 8, 1], [1, 9, 84, 195, 745, 954, 1680, 1350, 1251, 525, 316, 39, 19, 0], [1, 9, 84, 196, 735, 999, 1560, 1560, 999, 735, 196, 84, 9, 1], [1, 9, 85, 185, 790, 834, 1890, 1098, 1461, 405, 361, 29, 20, 0], [1, 9, 85, 186, 780, 879, 1770, 1308, 1209, 615, 241, 74, 10, 1], [1, 9, 85, 187, 770, 924, 1650, 1518, 957, 825, 121, 119, 0, 2], [1, 9, 86, 175, 835, 714, 2100, 846, 1671, 285, 406, 19, 21, 0], [1, 9, 86, 176, 825, 759, 1980, 1056, 1419, 495, 286, 64, 11, 1], [1, 9, 86, 177, 815, 804, 1860, 1266, 1167, 705, 166, 109, 1, 2], [1, 9, 87, 165, 880, 594, 2310, 594, 1881, 165, 451, 9, 22, 0], [1, 9, 87, 166, 870, 639, 2190, 804, 1629, 375, 331, 54, 12, 1], [1, 9, 87, 167, 860, 684, 2070, 1014, 1377, 585, 211, 99, 2, 2], [1, 9, 88, 156, 915, 519, 2400, 552, 1839, 255, 376, 44, 13, 1], [1, 9, 88, 157, 905, 564, 2280, 762, 1587, 465, 256, 89, 3, 2], [1, 9, 89, 146, 960, 399, 2610, 300, 2049, 135, 421, 34, 14, 1], [1, 9, 89, 147, 950, 444, 2490, 510, 1797, 345, 301, 79, 4, 2], [1, 9, 90, 136, 1005, 279, 2820, 48, 2259, 15, 466, 24, 15, 1], [1, 9, 90, 137, 995, 324, 2700, 258, 2007, 225, 346, 69, 5, 2], [1, 9, 91, 127, 1040, 204, 2910, 6, 2217, 105, 391, 59, 6, 2], [1, 10, 69, 290, 400, 1764, 378, 2820, 81, 1170, 81, 90, 14, 0], [1, 10, 70, 280, 445, 1644, 588, 2568, 291, 1050, 126, 80, 15, 0], [1, 10, 70, 281, 435, 1689, 468, 2778, 39, 1260, 6, 125, 5, 1], [1, 10, 71, 270, 490, 1524, 798, 2316, 501, 930, 171, 70, 16, 0], [1, 10, 71, 271, 480, 1569, 678, 2526, 249, 1140, 51, 115, 6, 1], [1, 10, 72, 260, 535, 1404, 1008, 2064, 711, 810, 216, 60, 17, 0], [1, 10, 72, 261, 525, 1449, 888, 2274, 459, 1020, 96, 105, 7, 1], [1, 10, 73, 250, 580, 1284, 1218, 1812, 921, 690, 261, 50, 18, 0], [1, 10, 73, 251, 570, 1329, 1098, 2022, 669, 900, 141, 95, 8, 1], [1, 10, 74, 240, 625, 1164, 1428, 1560, 1131, 570, 306, 40, 19, 0], [1, 10, 74, 241, 615, 1209, 1308, 1770, 879, 780, 186, 85, 9, 1], [1, 10, 75, 230, 670, 1044, 1638, 1308, 1341, 450, 351, 30, 20, 0], [1, 10, 75, 231, 660, 1089, 1518, 1518, 1089, 660, 231, 75, 10, 1], [1, 10, 75, 232, 650, 1134, 1398, 1728, 837, 870, 111, 120, 0, 2], [1, 10, 76, 220, 715, 924, 1848, 1056, 1551, 330, 396, 20, 21, 0], [1, 10, 76, 221, 705, 969, 1728, 1266, 1299, 540, 276, 65, 11, 1], [1, 10, 76, 222, 695, 1014, 1608, 1476, 1047, 750, 156, 110, 1, 2], [1, 10, 77, 210, 760, 804, 2058, 804, 1761, 210, 441, 10, 22, 0], [1, 10, 77, 211, 750, 849, 1938, 1014, 1509, 420, 321, 55, 12, 1], [1, 10, 77, 212, 740, 894, 1818, 1224, 1257, 630, 201, 100, 2, 2], [1, 10, 78, 200, 805, 684, 2268, 552, 1971, 90, 486, 0, 23, 0], [1, 10, 78, 201, 795, 729, 2148, 762, 1719, 300, 366, 45, 13, 1], [1, 10, 78, 202, 785, 774, 2028, 972, 1467, 510, 246, 90, 3, 2], [1, 10, 79, 191, 840, 609, 2358, 510, 1929, 180, 411, 35, 14, 1], [1, 10, 79, 192, 830, 654, 2238, 720, 1677, 390, 291, 80, 4, 2], [1, 10, 80, 181, 885, 489, 2568, 258, 2139, 60, 456, 25, 15, 1], [1, 10, 80, 182, 875, 534, 2448, 468, 1887, 270, 336, 70, 5, 2], [1, 10, 81, 172, 920, 414, 2658, 216, 2097, 150, 381, 60, 6, 2], [1, 11, 60, 325, 325, 1854, 336, 2778, 171, 1095, 116, 81, 15, 0], [1, 11, 61, 315, 370, 1734, 546, 2526, 381, 975, 161, 71, 16, 0], [1, 11, 61, 316, 360, 1779, 426, 2736, 129, 1185, 41, 116, 6, 1], [1, 11, 62, 305, 415, 1614, 756, 2274, 591, 855, 206, 61, 17, 0], [1, 11, 62, 306, 405, 1659, 636, 2484, 339, 1065, 86, 106, 7, 1], [1, 11, 63, 295, 460, 1494, 966, 2022, 801, 735, 251, 51, 18, 0], [1, 11, 63, 296, 450, 1539, 846, 2232, 549, 945, 131, 96, 8, 1], [1, 11, 64, 285, 505, 1374, 1176, 1770, 1011, 615, 296, 41, 19, 0], [1, 11, 64, 286, 495, 1419, 1056, 1980, 759, 825, 176, 86, 9, 1], [1, 11, 65, 275, 550, 1254, 1386, 1518, 1221, 495, 341, 31, 20, 0], [1, 11, 65, 276, 540, 1299, 1266, 1728, 969, 705, 221, 76, 10, 1], [1, 11, 65, 277, 530, 1344, 1146, 1938, 717, 915, 101, 121, 0, 2], [1, 11, 66, 265, 595, 1134, 1596, 1266, 1431, 375, 386, 21, 21, 0], [1, 11, 66, 266, 585, 1179, 1476, 1476, 1179, 585, 266, 66, 11, 1], [1, 11, 66, 267, 575, 1224, 1356, 1686, 927, 795, 146, 111, 1, 2], [1, 11, 67, 255, 640, 1014, 1806, 1014, 1641, 255, 431, 11, 22, 0], [1, 11, 67, 256, 630, 1059, 1686, 1224, 1389, 465, 311, 56, 12, 1], [1, 11, 67, 257, 620, 1104, 1566, 1434, 1137, 675, 191, 101, 2, 2], [1, 11, 68, 245, 685, 894, 2016, 762, 1851, 135, 476, 1, 23, 0], [1, 11, 68, 246, 675, 939, 1896, 972, 1599, 345, 356, 46, 13, 1], [1, 11, 68, 247, 665, 984, 1776, 1182, 1347, 555, 236, 91, 3, 2], [1, 11, 69, 236, 720, 819, 2106, 720, 1809, 225, 401, 36, 14, 1], [1, 11, 69, 237, 710, 864, 1986, 930, 1557, 435, 281, 81, 4, 2], [1, 11, 70, 226, 765, 699, 2316, 468, 2019, 105, 446, 26, 15, 1], [1, 11, 70, 227, 755, 744, 2196, 678, 1767, 315, 326, 71, 5, 2], [1, 11, 71, 217, 800, 624, 2406, 426, 1977, 195, 371, 61, 6, 2], [1, 11, 72, 207, 845, 504, 2616, 174, 2187, 75, 416, 51, 7, 2], [1, 12, 50, 370, 205, 2064, 84, 2988, 51, 1140, 106, 82, 15, 0], [1, 12, 51, 360, 250, 1944, 294, 2736, 261, 1020, 151, 72, 16, 0], [1, 12, 51, 361, 240, 1989, 174, 2946, 9, 1230, 31, 117, 6, 1], [1, 12, 52, 350, 295, 1824, 504, 2484, 471, 900, 196, 62, 17, 0], [1, 12, 52, 351, 285, 1869, 384, 2694, 219, 1110, 76, 107, 7, 1], [1, 12, 53, 340, 340, 1704, 714, 2232, 681, 780, 241, 52, 18, 0], [1, 12, 53, 341, 330, 1749, 594, 2442, 429, 990, 121, 97, 8, 1], [1, 12, 54, 330, 385, 1584, 924, 1980, 891, 660, 286, 42, 19, 0], [1, 12, 54, 331, 375, 1629, 804, 2190, 639, 870, 166, 87, 9, 1], [1, 12, 55, 320, 430, 1464, 1134, 1728, 1101, 540, 331, 32, 20, 0], [1, 12, 55, 321, 420, 1509, 1014, 1938, 849, 750, 211, 77, 10, 1], [1, 12, 55, 322, 410, 1554, 894, 2148, 597, 960, 91, 122, 0, 2], [1, 12, 56, 310, 475, 1344, 1344, 1476, 1311, 420, 376, 22, 21, 0], [1, 12, 56, 311, 465, 1389, 1224, 1686, 1059, 630, 256, 67, 11, 1], [1, 12, 56, 312, 455, 1434, 1104, 1896, 807, 840, 136, 112, 1, 2], [1, 12, 57, 300, 520, 1224, 1554, 1224, 1521, 300, 421, 12, 22, 0], [1, 12, 57, 301, 510, 1269, 1434, 1434, 1269, 510, 301, 57, 12, 1], [1, 12, 57, 302, 500, 1314, 1314, 1644, 1017, 720, 181, 102, 2, 2], [1, 12, 58, 290, 565, 1104, 1764, 972, 1731, 180, 466, 2, 23, 0], [1, 12, 58, 291, 555, 1149, 1644, 1182, 1479, 390, 346, 47, 13, 1], [1, 12, 58, 292, 545, 1194, 1524, 1392, 1227, 600, 226, 92, 3, 2], [1, 12, 59, 281, 600, 1029, 1854, 930, 1689, 270, 391, 37, 14, 1], [1, 12, 59, 282, 590, 1074, 1734, 1140, 1437, 480, 271, 82, 4, 2], [1, 12, 60, 271, 645, 909, 2064, 678, 1899, 150, 436, 27, 15, 1], [1, 12, 60, 272, 635, 954, 1944, 888, 1647, 360, 316, 72, 5, 2], [1, 12, 61, 261, 690, 789, 2274, 426, 2109, 30, 481, 17, 16, 1], [1, 12, 61, 262, 680, 834, 2154, 636, 1857, 240, 361, 62, 6, 2], [1, 12, 62, 252, 725, 714, 2364, 384, 2067, 120, 406, 52, 7, 2], [1, 12, 63, 242, 770, 594, 2574, 132, 2277, 0, 451, 42, 8, 2], [1, 13, 41, 405, 130, 2154, 42, 2946, 141, 1065, 141, 73, 16, 0], [1, 13, 42, 395, 175, 2034, 252, 2694, 351, 945, 186, 63, 17, 0], [1, 13, 42, 396, 165, 2079, 132, 2904, 99, 1155, 66, 108, 7, 1], [1, 13, 43, 385, 220, 1914, 462, 2442, 561, 825, 231, 53, 18, 0], [1, 13, 43, 386, 210, 1959, 342, 2652, 309, 1035, 111, 98, 8, 1], [1, 13, 44, 375, 265, 1794, 672, 2190, 771, 705, 276, 43, 19, 0], [1, 13, 44, 376, 255, 1839, 552, 2400, 519, 915, 156, 88, 9, 1], [1, 13, 45, 365, 310, 1674, 882, 1938, 981, 585, 321, 33, 20, 0], [1, 13, 45, 366, 300, 1719, 762, 2148, 729, 795, 201, 78, 10, 1], [1, 13, 45, 367, 290, 1764, 642, 2358, 477, 1005, 81, 123, 0, 2], [1, 13, 46, 355, 355, 1554, 1092, 1686, 1191, 465, 366, 23, 21, 0], [1, 13, 46, 356, 345, 1599, 972, 1896, 939, 675, 246, 68, 11, 1], [1, 13, 46, 357, 335, 1644, 852, 2106, 687, 885, 126, 113, 1, 2], [1, 13, 47, 345, 400, 1434, 1302, 1434, 1401, 345, 411, 13, 22, 0], [1, 13, 47, 346, 390, 1479, 1182, 1644, 1149, 555, 291, 58, 12, 1], [1, 13, 47, 347, 380, 1524, 1062, 1854, 897, 765, 171, 103, 2, 2], [1, 13, 48, 335, 445, 1314, 1512, 1182, 1611, 225, 456, 3, 23, 0], [1, 13, 48, 336, 435, 1359, 1392, 1392, 1359, 435, 336, 48, 13, 1], [1, 13, 48, 337, 425, 1404, 1272, 1602, 1107, 645, 216, 93, 3, 2], [1, 13, 49, 326, 480, 1239, 1602, 1140, 1569, 315, 381, 38, 14, 1], [1, 13, 49, 327, 470, 1284, 1482, 1350, 1317, 525, 261, 83, 4, 2], [1, 13, 50, 316, 525, 1119, 1812, 888, 1779, 195, 426, 28, 15, 1], [1, 13, 50, 317, 515, 1164, 1692, 1098, 1527, 405, 306, 73, 5, 2], [1, 13, 51, 306, 570, 999, 2022, 636, 1989, 75, 471, 18, 16, 1], [1, 13, 51, 307, 560, 1044, 1902, 846, 1737, 285, 351, 63, 6, 2], [1, 13, 52, 297, 605, 924, 2112, 594, 1947, 165, 396, 53, 7, 2], [1, 13, 53, 287, 650, 804, 2322, 342, 2157, 45, 441, 43, 8, 2], [1, 13, 55, 268, 730, 609, 2622, 48, 2325, 15, 411, 68, 0, 3], [1, 14, 32, 440, 55, 2244, 0, 2904, 231, 990, 176, 64, 17, 0], [1, 14, 33, 430, 100, 2124, 210, 2652, 441, 870, 221, 54, 18, 0], [1, 14, 33, 431, 90, 2169, 90, 2862, 189, 1080, 101, 99, 8, 1], [1, 14, 34, 420, 145, 2004, 420, 2400, 651, 750, 266, 44, 19, 0], [1, 14, 34, 421, 135, 2049, 300, 2610, 399, 960, 146, 89, 9, 1], [1, 14, 35, 410, 190, 1884, 630, 2148, 861, 630, 311, 34, 20, 0], [1, 14, 35, 411, 180, 1929, 510, 2358, 609, 840, 191, 79, 10, 1], [1, 14, 35, 412, 170, 1974, 390, 2568, 357, 1050, 71, 124, 0, 2], [1, 14, 36, 400, 235, 1764, 840, 1896, 1071, 510, 356, 24, 21, 0], [1, 14, 36, 401, 225, 1809, 720, 2106, 819, 720, 236, 69, 11, 1], [1, 14, 36, 402, 215, 1854, 600, 2316, 567, 930, 116, 114, 1, 2], [1, 14, 37, 390, 280, 1644, 1050, 1644, 1281, 390, 401, 14, 22, 0], [1, 14, 37, 391, 270, 1689, 930, 1854, 1029, 600, 281, 59, 12, 1], [1, 14, 37, 392, 260, 1734, 810, 2064, 777, 810, 161, 104, 2, 2], [1, 14, 38, 380, 325, 1524, 1260, 1392, 1491, 270, 446, 4, 23, 0], [1, 14, 38, 381, 315, 1569, 1140, 1602, 1239, 480, 326, 49, 13, 1], [1, 14, 38, 382, 305, 1614, 1020, 1812, 987, 690, 206, 94, 3, 2], [1, 14, 39, 371, 360, 1449, 1350, 1350, 1449, 360, 371, 39, 14, 1], [1, 14, 39, 372, 350, 1494, 1230, 1560, 1197, 570, 251, 84, 4, 2], [1, 14, 40, 361, 405, 1329, 1560, 1098, 1659, 240, 416, 29, 15, 1], [1, 14, 40, 362, 395, 1374, 1440, 1308, 1407, 450, 296, 74, 5, 2], [1, 14, 41, 351, 450, 1209, 1770, 846, 1869, 120, 461, 19, 16, 1], [1, 14, 41, 352, 440, 1254, 1650, 1056, 1617, 330, 341, 64, 6, 2], [1, 14, 42, 341, 495, 1089, 1980, 594, 2079, 0, 506, 9, 17, 1], [1, 14, 42, 342, 485, 1134, 1860, 804, 1827, 210, 386, 54, 7, 2], [1, 14, 43, 332, 530, 1014, 2070, 552, 2037, 90, 431, 44, 8, 2], [1, 14, 45, 313, 610, 819, 2370, 258, 2205, 60, 401, 69, 0, 3], [1, 15, 24, 465, 25, 2214, 168, 2610, 531, 795, 256, 45, 19, 0], [1, 15, 24, 466, 15, 2259, 48, 2820, 279, 1005, 136, 90, 9, 1], [1, 15, 25, 455, 70, 2094, 378, 2358, 741, 675, 301, 35, 20, 0], [1, 15, 25, 456, 60, 2139, 258, 2568, 489, 885, 181, 80, 10, 1], [1, 15, 25, 457, 50, 2184, 138, 2778, 237, 1095, 61, 125, 0, 2], [1, 15, 26, 445, 115, 1974, 588, 2106, 951, 555, 346, 25, 21, 0], [1, 15, 26, 446, 105, 2019, 468, 2316, 699, 765, 226, 70, 11, 1], [1, 15, 26, 447, 95, 2064, 348, 2526, 447, 975, 106, 115, 1, 2], [1, 15, 27, 435, 160, 1854, 798, 1854, 1161, 435, 391, 15, 22, 0], [1, 15, 27, 436, 150, 1899, 678, 2064, 909, 645, 271, 60, 12, 1], [1, 15, 27, 437, 140, 1944, 558, 2274, 657, 855, 151, 105, 2, 2], [1, 15, 28, 425, 205, 1734, 1008, 1602, 1371, 315, 436, 5, 23, 0], [1, 15, 28, 426, 195, 1779, 888, 1812, 1119, 525, 316, 50, 13, 1], [1, 15, 28, 427, 185, 1824, 768, 2022, 867, 735, 196, 95, 3, 2], [1, 15, 29, 416, 240, 1659, 1098, 1560, 1329, 405, 361, 40, 14, 1], [1, 15, 29, 417, 230, 1704, 978, 1770, 1077, 615, 241, 85, 4, 2], [1, 15, 30, 406, 285, 1539, 1308, 1308, 1539, 285, 406, 30, 15, 1], [1, 15, 30, 407, 275, 1584, 1188, 1518, 1287, 495, 286, 75, 5, 2], [1, 15, 31, 396, 330, 1419, 1518, 1056, 1749, 165, 451, 20, 16, 1], [1, 15, 31, 397, 320, 1464, 1398, 1266, 1497, 375, 331, 65, 6, 2], [1, 15, 32, 386, 375, 1299, 1728, 804, 1959, 45, 496, 10, 17, 1], [1, 15, 32, 387, 365, 1344, 1608, 1014, 1707, 255, 376, 55, 7, 2], [1, 15, 33, 377, 410, 1224, 1818, 762, 1917, 135, 421, 45, 8, 2], [1, 15, 34, 367, 455, 1104, 2028, 510, 2127, 15, 466, 35, 9, 2], [1, 15, 35, 358, 490, 1029, 2118, 468, 2085, 105, 391, 70, 0, 3], [1, 16, 17, 480, 40, 2064, 546, 2064, 1041, 480, 381, 16, 22, 0], [1, 16, 17, 481, 30, 2109, 426, 2274, 789, 690, 261, 61, 12, 1], [1, 16, 17, 482, 20, 2154, 306, 2484, 537, 900, 141, 106, 2, 2], [1, 16, 18, 470, 85, 1944, 756, 1812, 1251, 360, 426, 6, 23, 0], [1, 16, 18, 471, 75, 1989, 636, 2022, 999, 570, 306, 51, 13, 1], [1, 16, 18, 472, 65, 2034, 516, 2232, 747, 780, 186, 96, 3, 2], [1, 16, 19, 461, 120, 1869, 846, 1770, 1209, 450, 351, 41, 14, 1], [1, 16, 19, 462, 110, 1914, 726, 1980, 957, 660, 231, 86, 4, 2], [1, 16, 20, 451, 165, 1749, 1056, 1518, 1419, 330, 396, 31, 15, 1], [1, 16, 20, 452, 155, 1794, 936, 1728, 1167, 540, 276, 76, 5, 2], [1, 16, 21, 441, 210, 1629, 1266, 1266, 1629, 210, 441, 21, 16, 1], [1, 16, 21, 442, 200, 1674, 1146, 1476, 1377, 420, 321, 66, 6, 2], [1, 16, 22, 431, 255, 1509, 1476, 1014, 1839, 90, 486, 11, 17, 1], [1, 16, 22, 432, 245, 1554, 1356, 1224, 1587, 300, 366, 56, 7, 2], [1, 16, 23, 422, 290, 1434, 1566, 972, 1797, 180, 411, 46, 8, 2], [1, 16, 24, 412, 335, 1314, 1776, 720, 2007, 60, 456, 36, 9, 2], [1, 16, 25, 403, 370, 1239, 1866, 678, 1965, 150, 381, 71, 0, 3], [1, 16, 26, 393, 415, 1119, 2076, 426, 2175, 30, 426, 61, 1, 3], [1, 17, 9, 506, 0, 2079, 594, 1980, 1089, 495, 341, 42, 14, 1], [1, 17, 10, 496, 45, 1959, 804, 1728, 1299, 375, 386, 32, 15, 1], [1, 17, 10, 497, 35, 2004, 684, 1938, 1047, 585, 266, 77, 5, 2], [1, 17, 11, 486, 90, 1839, 1014, 1476, 1509, 255, 431, 22, 16, 1], [1, 17, 11, 487, 80, 1884, 894, 1686, 1257, 465, 311, 67, 6, 2], [1, 17, 12, 476, 135, 1719, 1224, 1224, 1719, 135, 476, 12, 17, 1], [1, 17, 12, 477, 125, 1764, 1104, 1434, 1467, 345, 356, 57, 7, 2], [1, 17, 13, 466, 180, 1599, 1434, 972, 1929, 15, 521, 2, 18, 1], [1, 17, 13, 467, 170, 1644, 1314, 1182, 1677, 225, 401, 47, 8, 2], [1, 17, 14, 457, 215, 1524, 1524, 930, 1887, 105, 446, 37, 9, 2], [1, 17, 15, 448, 250, 1449, 1614, 888, 1845, 195, 371, 72, 0, 3], [1, 17, 16, 438, 295, 1329, 1824, 636, 2055, 75, 416, 62, 1, 3], [1, 18, 2, 521, 15, 1929, 972, 1434, 1599, 180, 466, 13, 17, 1], [1, 18, 2, 522, 5, 1974, 852, 1644, 1347, 390, 346, 58, 7, 2], [1, 18, 3, 511, 60, 1809, 1182, 1182, 1809, 60, 511, 3, 18, 1], [1, 18, 3, 512, 50, 1854, 1062, 1392, 1557, 270, 391, 48, 8, 2], [1, 18, 4, 502, 95, 1734, 1272, 1140, 1767, 150, 436, 38, 9, 2], [1, 18, 5, 492, 140, 1614, 1482, 888, 1977, 30, 481, 28, 10, 2], [1, 18, 5, 493, 130, 1659, 1362, 1098, 1725, 240, 361, 73, 0, 3], [1, 18, 6, 483, 175, 1539, 1572, 846, 1935, 120, 406, 63, 1, 3], [1, 18, 7, 473, 220, 1419, 1782, 594, 2145, 0, 451, 53, 2, 3], [2, 0, 114, 170, 610, 1512, 588, 2700, 126, 1160, 82, 90, 14, 0], [2, 0, 115, 160, 655, 1392, 798, 2448, 336, 1040, 127, 80, 15, 0], [2, 0, 115, 161, 645, 1437, 678, 2658, 84, 1250, 7, 125, 5, 1], [2, 0, 116, 150, 700, 1272, 1008, 2196, 546, 920, 172, 70, 16, 0], [2, 0, 116, 151, 690, 1317, 888, 2406, 294, 1130, 52, 115, 6, 1], [2, 0, 117, 140, 745, 1152, 1218, 1944, 756, 800, 217, 60, 17, 0], [2, 0, 117, 141, 735, 1197, 1098, 2154, 504, 1010, 97, 105, 7, 1], [2, 0, 118, 130, 790, 1032, 1428, 1692, 966, 680, 262, 50, 18, 0], [2, 0, 118, 131, 780, 1077, 1308, 1902, 714, 890, 142, 95, 8, 1], [2, 0, 119, 120, 835, 912, 1638, 1440, 1176, 560, 307, 40, 19, 0], [2, 0, 119, 121, 825, 957, 1518, 1650, 924, 770, 187, 85, 9, 1], [2, 0, 120, 110, 880, 792, 1848, 1188, 1386, 440, 352, 30, 20, 0], [2, 0, 120, 111, 870, 837, 1728, 1398, 1134, 650, 232, 75, 10, 1], [2, 0, 120, 112, 860, 882, 1608, 1608, 882, 860, 112, 120, 0, 2], [2, 0, 121, 100, 925, 672, 2058, 936, 1596, 320, 397, 20, 21, 0], [2, 0, 121, 101, 915, 717, 1938, 1146, 1344, 530, 277, 65, 11, 1], [2, 0, 121, 102, 905, 762, 1818, 1356, 1092, 740, 157, 110, 1, 2], [2, 0, 122, 90, 970, 552, 2268, 684, 1806, 200, 442, 10, 22, 0], [2, 0, 122, 91, 960, 597, 2148, 894, 1554, 410, 322, 55, 12, 1], [2, 0, 122, 92, 950, 642, 2028, 1104, 1302, 620, 202, 100, 2, 2], [2, 0, 123, 80, 1015, 432, 2478, 432, 2016, 80, 487, 0, 23, 0], [2, 0, 123, 81, 1005, 477, 2358, 642, 1764, 290, 367, 45, 13, 1], [2, 0, 123, 82, 995, 522, 2238, 852, 1512, 500, 247, 90, 3, 2], [2, 0, 124, 71, 1050, 357, 2568, 390, 1974, 170, 412, 35, 14, 1], [2, 0, 124, 72, 1040, 402, 2448, 600, 1722, 380, 292, 80, 4, 2], [2, 0, 125, 61, 1095, 237, 2778, 138, 2184, 50, 457, 25, 15, 1], [2, 0, 125, 62, 1085, 282, 2658, 348, 1932, 260, 337, 70, 5, 2], [2, 0, 126, 52, 1130, 162, 2868, 96, 2142, 140, 382, 60, 6, 2], [2, 1, 104, 215, 490, 1722, 336, 2910, 6, 1205, 72, 91, 14, 0], [2, 1, 105, 205, 535, 1602, 546, 2658, 216, 1085, 117, 81, 15, 0], [2, 1, 106, 195, 580, 1482, 756, 2406, 426, 965, 162, 71, 16, 0], [2, 1, 106, 196, 570, 1527, 636, 2616, 174, 1175, 42, 116, 6, 1], [2, 1, 107, 185, 625, 1362, 966, 2154, 636, 845, 207, 61, 17, 0], [2, 1, 107, 186, 615, 1407, 846, 2364, 384, 1055, 87, 106, 7, 1], [2, 1, 108, 175, 670, 1242, 1176, 1902, 846, 725, 252, 51, 18, 0], [2, 1, 108, 176, 660, 1287, 1056, 2112, 594, 935, 132, 96, 8, 1], [2, 1, 109, 165, 715, 1122, 1386, 1650, 1056, 605, 297, 41, 19, 0], [2, 1, 109, 166, 705, 1167, 1266, 1860, 804, 815, 177, 86, 9, 1], [2, 1, 110, 155, 760, 1002, 1596, 1398, 1266, 485, 342, 31, 20, 0], [2, 1, 110, 156, 750, 1047, 1476, 1608, 1014, 695, 222, 76, 10, 1], [2, 1, 110, 157, 740, 1092, 1356, 1818, 762, 905, 102, 121, 0, 2], [2, 1, 111, 145, 805, 882, 1806, 1146, 1476, 365, 387, 21, 21, 0], [2, 1, 111, 146, 795, 927, 1686, 1356, 1224, 575, 267, 66, 11, 1], [2, 1, 111, 147, 785, 972, 1566, 1566, 972, 785, 147, 111, 1, 2], [2, 1, 112, 135, 850, 762, 2016, 894, 1686, 245, 432, 11, 22, 0], [2, 1, 112, 136, 840, 807, 1896, 1104, 1434, 455, 312, 56, 12, 1], [2, 1, 112, 137, 830, 852, 1776, 1314, 1182, 665, 192, 101, 2, 2], [2, 1, 113, 125, 895, 642, 2226, 642, 1896, 125, 477, 1, 23, 0], [2, 1, 113, 126, 885, 687, 2106, 852, 1644, 335, 357, 46, 13, 1], [2, 1, 113, 127, 875, 732, 1986, 1062, 1392, 545, 237, 91, 3, 2], [2, 1, 114, 116, 930, 567, 2316, 600, 1854, 215, 402, 36, 14, 1], [2, 1, 114, 117, 920, 612, 2196, 810, 1602, 425, 282, 81, 4, 2], [2, 1, 115, 106, 975, 447, 2526, 348, 2064, 95, 447, 26, 15, 1], [2, 1, 115, 107, 965, 492, 2406, 558, 1812, 305, 327, 71, 5, 2], [2, 1, 116, 97, 1010, 372, 2616, 306, 2022, 185, 372, 61, 6, 2], [2, 1, 117, 87, 1055, 252, 2826, 54, 2232, 65, 417, 51, 7, 2], [2, 2, 95, 250, 415, 1812, 294, 2868, 96, 1130, 107, 82, 15, 0], [2, 2, 96, 240, 460, 1692, 504, 2616, 306, 1010, 152, 72, 16, 0], [2, 2, 96, 241, 450, 1737, 384, 2826, 54, 1220, 32, 117, 6, 1], [2, 2, 97, 230, 505, 1572, 714, 2364, 516, 890, 197, 62, 17, 0], [2, 2, 97, 231, 495, 1617, 594, 2574, 264, 1100, 77, 107, 7, 1], [2, 2, 98, 220, 550, 1452, 924, 2112, 726, 770, 242, 52, 18, 0], [2, 2, 98, 221, 540, 1497, 804, 2322, 474, 980, 122, 97, 8, 1], [2, 2, 99, 210, 595, 1332, 1134, 1860, 936, 650, 287, 42, 19, 0], [2, 2, 99, 211, 585, 1377, 1014, 2070, 684, 860, 167, 87, 9, 1], [2, 2, 100, 200, 640, 1212, 1344, 1608, 1146, 530, 332, 32, 20, 0], [2, 2, 100, 201, 630, 1257, 1224, 1818, 894, 740, 212, 77, 10, 1], [2, 2, 100, 202, 620, 1302, 1104, 2028, 642, 950, 92, 122, 0, 2], [2, 2, 101, 190, 685, 1092, 1554, 1356, 1356, 410, 377, 22, 21, 0], [2, 2, 101, 191, 675, 1137, 1434, 1566, 1104, 620, 257, 67, 11, 1], [2, 2, 101, 192, 665, 1182, 1314, 1776, 852, 830, 137, 112, 1, 2], [2, 2, 102, 180, 730, 972, 1764, 1104, 1566, 290, 422, 12, 22, 0], [2, 2, 102, 181, 720, 1017, 1644, 1314, 1314, 500, 302, 57, 12, 1], [2, 2, 102, 182, 710, 1062, 1524, 1524, 1062, 710, 182, 102, 2, 2], [2, 2, 103, 170, 775, 852, 1974, 852, 1776, 170, 467, 2, 23, 0], [2, 2, 103, 171, 765, 897, 1854, 1062, 1524, 380, 347, 47, 13, 1], [2, 2, 103, 172, 755, 942, 1734, 1272, 1272, 590, 227, 92, 3, 2], [2, 2, 104, 161, 810, 777, 2064, 810, 1734, 260, 392, 37, 14, 1], [2, 2, 104, 162, 800, 822, 1944, 1020, 1482, 470, 272, 82, 4, 2], [2, 2, 105, 151, 855, 657, 2274, 558, 1944, 140, 437, 27, 15, 1], [2, 2, 105, 152, 845, 702, 2154, 768, 1692, 350, 317, 72, 5, 2], [2, 2, 106, 141, 900, 537, 2484, 306, 2154, 20, 482, 17, 16, 1], [2, 2, 106, 142, 890, 582, 2364, 516, 1902, 230, 362, 62, 6, 2], [2, 2, 107, 132, 935, 462, 2574, 264, 2112, 110, 407, 52, 7, 2], [2, 3, 86, 285, 340, 1902, 252, 2826, 186, 1055, 142, 73, 16, 0], [2, 3, 87, 275, 385, 1782, 462, 2574, 396, 935, 187, 63, 17, 0], [2, 3, 87, 276, 375, 1827, 342, 2784, 144, 1145, 67, 108, 7, 1], [2, 3, 88, 265, 430, 1662, 672, 2322, 606, 815, 232, 53, 18, 0], [2, 3, 88, 266, 420, 1707, 552, 2532, 354, 1025, 112, 98, 8, 1], [2, 3, 89, 255, 475, 1542, 882, 2070, 816, 695, 277, 43, 19, 0], [2, 3, 89, 256, 465, 1587, 762, 2280, 564, 905, 157, 88, 9, 1], [2, 3, 90, 245, 520, 1422, 1092, 1818, 1026, 575, 322, 33, 20, 0], [2, 3, 90, 246, 510, 1467, 972, 2028, 774, 785, 202, 78, 10, 1], [2, 3, 90, 247, 500, 1512, 852, 2238, 522, 995, 82, 123, 0, 2], [2, 3, 91, 235, 565, 1302, 1302, 1566, 1236, 455, 367, 23, 21, 0], [2, 3, 91, 236, 555, 1347, 1182, 1776, 984, 665, 247, 68, 11, 1], [2, 3, 91, 237, 545, 1392, 1062, 1986, 732, 875, 127, 113, 1, 2], [2, 3, 92, 225, 610, 1182, 1512, 1314, 1446, 335, 412, 13, 22, 0], [2, 3, 92, 226, 600, 1227, 1392, 1524, 1194, 545, 292, 58, 12, 1], [2, 3, 92, 227, 590, 1272, 1272, 1734, 942, 755, 172, 103, 2, 2], [2, 3, 93, 215, 655, 1062, 1722, 1062, 1656, 215, 457, 3, 23, 0], [2, 3, 93, 216, 645, 1107, 1602, 1272, 1404, 425, 337, 48, 13, 1], [2, 3, 93, 217, 635, 1152, 1482, 1482, 1152, 635, 217, 93, 3, 2], [2, 3, 94, 206, 690, 987, 1812, 1020, 1614, 305, 382, 38, 14, 1], [2, 3, 94, 207, 680, 1032, 1692, 1230, 1362, 515, 262, 83, 4, 2], [2, 3, 95, 196, 735, 867, 2022, 768, 1824, 185, 427, 28, 15, 1], [2, 3, 95, 197, 725, 912, 1902, 978, 1572, 395, 307, 73, 5, 2], [2, 3, 96, 186, 780, 747, 2232, 516, 2034, 65, 472, 18, 16, 1], [2, 3, 96, 187, 770, 792, 2112, 726, 1782, 275, 352, 63, 6, 2], [2, 3, 97, 177, 815, 672, 2322, 474, 1992, 155, 397, 53, 7, 2], [2, 3, 98, 167, 860, 552, 2532, 222, 2202, 35, 442, 43, 8, 2], [2, 4, 76, 330, 220, 2112, 0, 3036, 66, 1100, 132, 74, 16, 0], [2, 4, 77, 320, 265, 1992, 210, 2784, 276, 980, 177, 64, 17, 0], [2, 4, 77, 321, 255, 2037, 90, 2994, 24, 1190, 57, 109, 7, 1], [2, 4, 78, 310, 310, 1872, 420, 2532, 486, 860, 222, 54, 18, 0], [2, 4, 78, 311, 300, 1917, 300, 2742, 234, 1070, 102, 99, 8, 1], [2, 4, 79, 300, 355, 1752, 630, 2280, 696, 740, 267, 44, 19, 0], [2, 4, 79, 301, 345, 1797, 510, 2490, 444, 950, 147, 89, 9, 1], [2, 4, 80, 290, 400, 1632, 840, 2028, 906, 620, 312, 34, 20, 0], [2, 4, 80, 291, 390, 1677, 720, 2238, 654, 830, 192, 79, 10, 1], [2, 4, 80, 292, 380, 1722, 600, 2448, 402, 1040, 72, 124, 0, 2], [2, 4, 81, 280, 445, 1512, 1050, 1776, 1116, 500, 357, 24, 21, 0], [2, 4, 81, 281, 435, 1557, 930, 1986, 864, 710, 237, 69, 11, 1], [2, 4, 81, 282, 425, 1602, 810, 2196, 612, 920, 117, 114, 1, 2], [2, 4, 82, 270, 490, 1392, 1260, 1524, 1326, 380, 402, 14, 22, 0], [2, 4, 82, 271, 480, 1437, 1140, 1734, 1074, 590, 282, 59, 12, 1], [2, 4, 82, 272, 470, 1482, 1020, 1944, 822, 800, 162, 104, 2, 2], [2, 4, 83, 260, 535, 1272, 1470, 1272, 1536, 260, 447, 4, 23, 0], [2, 4, 83, 261, 525, 1317, 1350, 1482, 1284, 470, 327, 49, 13, 1], [2, 4, 83, 262, 515, 1362, 1230, 1692, 1032, 680, 207, 94, 3, 2], [2, 4, 84, 251, 570, 1197, 1560, 1230, 1494, 350, 372, 39, 14, 1], [2, 4, 84, 252, 560, 1242, 1440, 1440, 1242, 560, 252, 84, 4, 2], [2, 4, 85, 241, 615, 1077, 1770, 978, 1704, 230, 417, 29, 15, 1], [2, 4, 85, 242, 605, 1122, 1650, 1188, 1452, 440, 297, 74, 5, 2], [2, 4, 86, 231, 660, 957, 1980, 726, 1914, 110, 462, 19, 16, 1], [2, 4, 86, 232, 650, 1002, 1860, 936, 1662, 320, 342, 64, 6, 2], [2, 4, 87, 222, 695, 882, 2070, 684, 1872, 200, 387, 54, 7, 2], [2, 4, 88, 212, 740, 762, 2280, 432, 2082, 80, 432, 44, 8, 2], [2, 4, 90, 193, 820, 567, 2580, 138, 2250, 50, 402, 69, 0, 3], [2, 5, 68, 355, 190, 2082, 168, 2742, 366, 905, 212, 55, 18, 0], [2, 5, 68, 356, 180, 2127, 48, 2952, 114, 1115, 92, 100, 8, 1], [2, 5, 69, 345, 235, 1962, 378, 2490, 576, 785, 257, 45, 19, 0], [2, 5, 69, 346, 225, 2007, 258, 2700, 324, 995, 137, 90, 9, 1], [2, 5, 70, 335, 280, 1842, 588, 2238, 786, 665, 302, 35, 20, 0], [2, 5, 70, 336, 270, 1887, 468, 2448, 534, 875, 182, 80, 10, 1], [2, 5, 70, 337, 260, 1932, 348, 2658, 282, 1085, 62, 125, 0, 2], [2, 5, 71, 325, 325, 1722, 798, 1986, 996, 545, 347, 25, 21, 0], [2, 5, 71, 326, 315, 1767, 678, 2196, 744, 755, 227, 70, 11, 1], [2, 5, 71, 327, 305, 1812, 558, 2406, 492, 965, 107, 115, 1, 2], [2, 5, 72, 315, 370, 1602, 1008, 1734, 1206, 425, 392, 15, 22, 0], [2, 5, 72, 316, 360, 1647, 888, 1944, 954, 635, 272, 60, 12, 1], [2, 5, 72, 317, 350, 1692, 768, 2154, 702, 845, 152, 105, 2, 2], [2, 5, 73, 305, 415, 1482, 1218, 1482, 1416, 305, 437, 5, 23, 0], [2, 5, 73, 306, 405, 1527, 1098, 1692, 1164, 515, 317, 50, 13, 1], [2, 5, 73, 307, 395, 1572, 978, 1902, 912, 725, 197, 95, 3, 2], [2, 5, 74, 296, 450, 1407, 1308, 1440, 1374, 395, 362, 40, 14, 1], [2, 5, 74, 297, 440, 1452, 1188, 1650, 1122, 605, 242, 85, 4, 2], [2, 5, 75, 286, 495, 1287, 1518, 1188, 1584, 275, 407, 30, 15, 1], [2, 5, 75, 287, 485, 1332, 1398, 1398, 1332, 485, 287, 75, 5, 2], [2, 5, 76, 276, 540, 1167, 1728, 936, 1794, 155, 452, 20, 16, 1], [2, 5, 76, 277, 530, 1212, 1608, 1146, 1542, 365, 332, 65, 6, 2], [2, 5, 77, 266, 585, 1047, 1938, 684, 2004, 35, 497, 10, 17, 1], [2, 5, 77, 267, 575, 1092, 1818, 894, 1752, 245, 377, 55, 7, 2], [2, 5, 78, 257, 620, 972, 2028, 642, 1962, 125, 422, 45, 8, 2], [2, 5, 79, 247, 665, 852, 2238, 390, 2172, 5, 467, 35, 9, 2], [2, 5, 80, 238, 700, 777, 2328, 348, 2130, 95, 392, 70, 0, 3], [2, 6, 59, 390, 115, 2172, 126, 2700, 456, 830, 247, 46, 19, 0], [2, 6, 59, 391, 105, 2217, 6, 2910, 204, 1040, 127, 91, 9, 1], [2, 6, 60, 380, 160, 2052, 336, 2448, 666, 710, 292, 36, 20, 0], [2, 6, 60, 381, 150, 2097, 216, 2658, 414, 920, 172, 81, 10, 1], [2, 6, 60, 382, 140, 2142, 96, 2868, 162, 1130, 52, 126, 0, 2], [2, 6, 61, 370, 205, 1932, 546, 2196, 876, 590, 337, 26, 21, 0], [2, 6, 61, 371, 195, 1977, 426, 2406, 624, 800, 217, 71, 11, 1], [2, 6, 61, 372, 185, 2022, 306, 2616, 372, 1010, 97, 116, 1, 2], [2, 6, 62, 360, 250, 1812, 756, 1944, 1086, 470, 382, 16, 22, 0], [2, 6, 62, 361, 240, 1857, 636, 2154, 834, 680, 262, 61, 12, 1], [2, 6, 62, 362, 230, 1902, 516, 2364, 582, 890, 142, 106, 2, 2], [2, 6, 63, 350, 295, 1692, 966, 1692, 1296, 350, 427, 6, 23, 0], [2, 6, 63, 351, 285, 1737, 846, 1902, 1044, 560, 307, 51, 13, 1], [2, 6, 63, 352, 275, 1782, 726, 2112, 792, 770, 187, 96, 3, 2], [2, 6, 64, 341, 330, 1617, 1056, 1650, 1254, 440, 352, 41, 14, 1], [2, 6, 64, 342, 320, 1662, 936, 1860, 1002, 650, 232, 86, 4, 2], [2, 6, 65, 331, 375, 1497, 1266, 1398, 1464, 320, 397, 31, 15, 1], [2, 6, 65, 332, 365, 1542, 1146, 1608, 1212, 530, 277, 76, 5, 2], [2, 6, 66, 321, 420, 1377, 1476, 1146, 1674, 200, 442, 21, 16, 1], [2, 6, 66, 322, 410, 1422, 1356, 1356, 1422, 410, 322, 66, 6, 2], [2, 6, 67, 311, 465, 1257, 1686, 894, 1884, 80, 487, 11, 17, 1], [2, 6, 67, 312, 455, 1302, 1566, 1104, 1632, 290, 367, 56, 7, 2], [2, 6, 68, 302, 500, 1182, 1776, 852, 1842, 170, 412, 46, 8, 2], [2, 6, 69, 292, 545, 1062, 1986, 600, 2052, 50, 457, 36, 9, 2], [2, 6, 70, 283, 580, 987, 2076, 558, 2010, 140, 382, 71, 0, 3], [2, 6, 71, 273, 625, 867, 2286, 306, 2220, 20, 427, 61, 1, 3], [2, 7, 50, 425, 40, 2262, 84, 2658, 546, 755, 282, 37, 20, 0], [2, 7, 51, 415, 85, 2142, 294, 2406, 756, 635, 327, 27, 21, 0], [2, 7, 51, 416, 75, 2187, 174, 2616, 504, 845, 207, 72, 11, 1], [2, 7, 51, 417, 65, 2232, 54, 2826, 252, 1055, 87, 117, 1, 2], [2, 7, 52, 405, 130, 2022, 504, 2154, 966, 515, 372, 17, 22, 0], [2, 7, 52, 406, 120, 2067, 384, 2364, 714, 725, 252, 62, 12, 1], [2, 7, 52, 407, 110, 2112, 264, 2574, 462, 935, 132, 107, 2, 2], [2, 7, 53, 395, 175, 1902, 714, 1902, 1176, 395, 417, 7, 23, 0], [2, 7, 53, 396, 165, 1947, 594, 2112, 924, 605, 297, 52, 13, 1], [2, 7, 53, 397, 155, 1992, 474, 2322, 672, 815, 177, 97, 3, 2], [2, 7, 54, 386, 210, 1827, 804, 1860, 1134, 485, 342, 42, 14, 1], [2, 7, 54, 387, 200, 1872, 684, 2070, 882, 695, 222, 87, 4, 2], [2, 7, 55, 376, 255, 1707, 1014, 1608, 1344, 365, 387, 32, 15, 1], [2, 7, 55, 377, 245, 1752, 894, 1818, 1092, 575, 267, 77, 5, 2], [2, 7, 56, 366, 300, 1587, 1224, 1356, 1554, 245, 432, 22, 16, 1], [2, 7, 56, 367, 290, 1632, 1104, 1566, 1302, 455, 312, 67, 6, 2], [2, 7, 57, 356, 345, 1467, 1434, 1104, 1764, 125, 477, 12, 17, 1], [2, 7, 57, 357, 335, 1512, 1314, 1314, 1512, 335, 357, 57, 7, 2], [2, 7, 58, 346, 390, 1347, 1644, 852, 1974, 5, 522, 2, 18, 1], [2, 7, 58, 347, 380, 1392, 1524, 1062, 1722, 215, 402, 47, 8, 2], [2, 7, 59, 337, 425, 1272, 1734, 810, 1932, 95, 447, 37, 9, 2], [2, 7, 60, 328, 460, 1197, 1824, 768, 1890, 185, 372, 72, 0, 3], [2, 7, 61, 318, 505, 1077, 2034, 516, 2100, 65, 417, 62, 1, 3], [2, 8, 42, 450, 10, 2232, 252, 2364, 846, 560, 362, 18, 22, 0], [2, 8, 42, 451, 0, 2277, 132, 2574, 594, 770, 242, 63, 12, 1], [2, 8, 43, 440, 55, 2112, 462, 2112, 1056, 440, 407, 8, 23, 0], [2, 8, 43, 441, 45, 2157, 342, 2322, 804, 650, 287, 53, 13, 1], [2, 8, 43, 442, 35, 2202, 222, 2532, 552, 860, 167, 98, 3, 2], [2, 8, 44, 431, 90, 2037, 552, 2070, 1014, 530, 332, 43, 14, 1], [2, 8, 44, 432, 80, 2082, 432, 2280, 762, 740, 212, 88, 4, 2], [2, 8, 45, 421, 135, 1917, 762, 1818, 1224, 410, 377, 33, 15, 1], [2, 8, 45, 422, 125, 1962, 642, 2028, 972, 620, 257, 78, 5, 2], [2, 8, 46, 411, 180, 1797, 972, 1566, 1434, 290, 422, 23, 16, 1], [2, 8, 46, 412, 170, 1842, 852, 1776, 1182, 500, 302, 68, 6, 2], [2, 8, 47, 401, 225, 1677, 1182, 1314, 1644, 170, 467, 13, 17, 1], [2, 8, 47, 402, 215, 1722, 1062, 1524, 1392, 380, 347, 58, 7, 2], [2, 8, 48, 391, 270, 1557, 1392, 1062, 1854, 50, 512, 3, 18, 1], [2, 8, 48, 392, 260, 1602, 1272, 1272, 1602, 260, 392, 48, 8, 2], [2, 8, 49, 382, 305, 1482, 1482, 1020, 1812, 140, 437, 38, 9, 2], [2, 8, 50, 372, 350, 1362, 1692, 768, 2022, 20, 482, 28, 10, 2], [2, 8, 50, 373, 340, 1407, 1572, 978, 1770, 230, 362, 73, 0, 3], [2, 8, 51, 363, 385, 1287, 1782, 726, 1980, 110, 407, 63, 1, 3], [2, 9, 35, 466, 15, 2127, 510, 2028, 1104, 455, 367, 34, 15, 1], [2, 9, 35, 467, 5, 2172, 390, 2238, 852, 665, 247, 79, 5, 2], [2, 9, 36, 456, 60, 2007, 720, 1776, 1314, 335, 412, 24, 16, 1], [2, 9, 36, 457, 50, 2052, 600, 1986, 1062, 545, 292, 69, 6, 2], [2, 9, 37, 446, 105, 1887, 930, 1524, 1524, 215, 457, 14, 17, 1], [2, 9, 37, 447, 95, 1932, 810, 1734, 1272, 425, 337, 59, 7, 2], [2, 9, 38, 436, 150, 1767, 1140, 1272, 1734, 95, 502, 4, 18, 1], [2, 9, 38, 437, 140, 1812, 1020, 1482, 1482, 305, 382, 49, 8, 2], [2, 9, 39, 427, 185, 1692, 1230, 1230, 1692, 185, 427, 39, 9, 2], [2, 9, 40, 417, 230, 1572, 1440, 978, 1902, 65, 472, 29, 10, 2], [2, 9, 40, 418, 220, 1617, 1320, 1188, 1650, 275, 352, 74, 0, 3], [2, 9, 41, 408, 265, 1497, 1530, 936, 1860, 155, 397, 64, 1, 3], [2, 9, 42, 398, 310, 1377, 1740, 684, 2070, 35, 442, 54, 2, 3], [2, 10, 28, 481, 30, 1977, 888, 1482, 1614, 140, 492, 5, 18, 1], [2, 10, 28, 482, 20, 2022, 768, 1692, 1362, 350, 372, 50, 8, 2], [2, 10, 29, 472, 65, 1902, 978, 1440, 1572, 230, 417, 40, 9, 2], [2, 10, 30, 462, 110, 1782, 1188, 1188, 1782, 110, 462, 30, 10, 2], [2, 10, 30, 463, 100, 1827, 1068, 1398, 1530, 320, 342, 75, 0, 3], [2, 10, 31, 453, 145, 1707, 1278, 1146, 1740, 200, 387, 65, 1, 3], [2, 10, 32, 443, 190, 1587, 1488, 894, 1950, 80, 432, 55, 2, 3], [2, 11, 21, 497, 35, 1872, 1146, 1146, 1872, 35, 497, 21, 11, 2], [2, 11, 21, 498, 25, 1917, 1026, 1356, 1620, 245, 377, 66, 1, 3], [2, 11, 22, 488, 70, 1797, 1236, 1104, 1830, 125, 422, 56, 2, 3], [2, 11, 23, 478, 115, 1677, 1446, 852, 2040, 5, 467, 46, 3, 3], [3, 0, 68, 410, 25, 2280, 168, 2412, 861, 520, 388, 10, 23, 0], [3, 0, 68, 411, 15, 2325, 48, 2622, 609, 730, 268, 55, 13, 1], [3, 0, 69, 400, 70, 2160, 378, 2160, 1071, 400, 433, 0, 24, 0], [3, 0, 69, 401, 60, 2205, 258, 2370, 819, 610, 313, 45, 14, 1], [3, 0, 69, 402, 50, 2250, 138, 2580, 567, 820, 193, 90, 4, 2], [3, 0, 70, 391, 105, 2085, 468, 2118, 1029, 490, 358, 35, 15, 1], [3, 0, 70, 392, 95, 2130, 348, 2328, 777, 700, 238, 80, 5, 2], [3, 0, 71, 381, 150, 1965, 678, 1866, 1239, 370, 403, 25, 16, 1], [3, 0, 71, 382, 140, 2010, 558, 2076, 987, 580, 283, 70, 6, 2], [3, 0, 72, 371, 195, 1845, 888, 1614, 1449, 250, 448, 15, 17, 1], [3, 0, 72, 372, 185, 1890, 768, 1824, 1197, 460, 328, 60, 7, 2], [3, 0, 73, 361, 240, 1725, 1098, 1362, 1659, 130, 493, 5, 18, 1], [3, 0, 73, 362, 230, 1770, 978, 1572, 1407, 340, 373, 50, 8, 2], [3, 0, 74, 352, 275, 1650, 1188, 1320, 1617, 220, 418, 40, 9, 2], [3, 0, 75, 342, 320, 1530, 1398, 1068, 1827, 100, 463, 30, 10, 2], [3, 0, 75, 343, 310, 1575, 1278, 1278, 1575, 310, 343, 75, 0, 3], [3, 0, 76, 333, 355, 1455, 1488, 1026, 1785, 190, 388, 65, 1, 3], [3, 0, 77, 323, 400, 1335, 1698, 774, 1995, 70, 433, 55, 2, 3], [3, 1, 61, 426, 30, 2175, 426, 2076, 1119, 415, 393, 26, 16, 1], [3, 1, 61, 427, 20, 2220, 306, 2286, 867, 625, 273, 71, 6, 2], [3, 1, 62, 416, 75, 2055, 636, 1824, 1329, 295, 438, 16, 17, 1], [3, 1, 62, 417, 65, 2100, 516, 2034, 1077, 505, 318, 61, 7, 2], [3, 1, 63, 406, 120, 1935, 846, 1572, 1539, 175, 483, 6, 18, 1], [3, 1, 63, 407, 110, 1980, 726, 1782, 1287, 385, 363, 51, 8, 2], [3, 1, 64, 397, 155, 1860, 936, 1530, 1497, 265, 408, 41, 9, 2], [3, 1, 65, 387, 200, 1740, 1146, 1278, 1707, 145, 453, 31, 10, 2], [3, 1, 65, 388, 190, 1785, 1026, 1488, 1455, 355, 333, 76, 0, 3], [3, 1, 66, 377, 245, 1620, 1356, 1026, 1917, 25, 498, 21, 11, 2], [3, 1, 66, 378, 235, 1665, 1236, 1236, 1665, 235, 378, 66, 1, 3], [3, 1, 67, 368, 280, 1545, 1446, 984, 1875, 115, 423, 56, 2, 3], [3, 2, 53, 451, 0, 2145, 594, 1782, 1419, 220, 473, 7, 18, 1], [3, 2, 54, 442, 35, 2070, 684, 1740, 1377, 310, 398, 42, 9, 2], [3, 2, 55, 432, 80, 1950, 894, 1488, 1587, 190, 443, 32, 10, 2], [3, 2, 55, 433, 70, 1995, 774, 1698, 1335, 400, 323, 77, 0, 3], [3, 2, 56, 422, 125, 1830, 1104, 1236, 1797, 70, 488, 22, 11, 2], [3, 2, 56, 423, 115, 1875, 984, 1446, 1545, 280, 368, 67, 1, 3], [3, 2, 57, 413, 160, 1755, 1194, 1194, 1755, 160, 413, 57, 2, 3], [3, 2, 58, 403, 205, 1635, 1404, 942, 1965, 40, 458, 47, 3, 3], [3, 3, 46, 467, 5, 2040, 852, 1446, 1677, 115, 478, 23, 11, 2], [3, 3, 47, 458, 40, 1965, 942, 1404, 1635, 205, 403, 58, 2, 3], [3, 3, 48, 448, 85, 1845, 1152, 1152, 1845, 85, 448, 48, 3, 3], [3, 4, 39, 483, 10, 1935, 1110, 1110, 1935, 10, 483, 39, 4, 3]}
(14, 7168, 9) has 1662 possible DDs: {[1, 0, 60, 164, 225, 1556, 192, 2568, 819, 808, 676, 20, 75, 4, 0], [1, 0, 60, 165, 215, 1601, 72, 2778, 567, 1018, 556, 65, 65, 5, 0], [1, 0, 61, 154, 270, 1436, 402, 2316, 1029, 688, 721, 10, 76, 4, 0], [1, 0, 61, 155, 260, 1481, 282, 2526, 777, 898, 601, 55, 66, 5, 0], [1, 0, 61, 156, 250, 1526, 162, 2736, 525, 1108, 481, 100, 56, 6, 0], [1, 0, 61, 157, 240, 1571, 42, 2946, 273, 1318, 361, 145, 46, 7, 0], [1, 0, 62, 144, 315, 1316, 612, 2064, 1239, 568, 766, 0, 77, 4, 0], [1, 0, 62, 145, 305, 1361, 492, 2274, 987, 778, 646, 45, 67, 5, 0], [1, 0, 62, 146, 295, 1406, 372, 2484, 735, 988, 526, 90, 57, 6, 0], [1, 0, 62, 147, 285, 1451, 252, 2694, 483, 1198, 406, 135, 47, 7, 0], [1, 0, 62, 148, 275, 1496, 132, 2904, 231, 1408, 286, 180, 37, 8, 0], [1, 0, 63, 135, 350, 1241, 702, 2022, 1197, 658, 691, 35, 68, 5, 0], [1, 0, 63, 136, 340, 1286, 582, 2232, 945, 868, 571, 80, 58, 6, 0], [1, 0, 63, 137, 330, 1331, 462, 2442, 693, 1078, 451, 125, 48, 7, 0], [1, 0, 63, 138, 320, 1376, 342, 2652, 441, 1288, 331, 170, 38, 8, 0], [1, 0, 63, 139, 310, 1421, 222, 2862, 189, 1498, 211, 215, 28, 9, 0], [1, 0, 63, 140, 301, 1456, 147, 2952, 147, 1456, 301, 140, 63, 0, 1], [1, 0, 64, 125, 395, 1121, 912, 1770, 1407, 538, 736, 25, 69, 5, 0], [1, 0, 64, 126, 385, 1166, 792, 1980, 1155, 748, 616, 70, 59, 6, 0], [1, 0, 64, 127, 375, 1211, 672, 2190, 903, 958, 496, 115, 49, 7, 0], [1, 0, 64, 128, 365, 1256, 552, 2400, 651, 1168, 376, 160, 39, 8, 0], [1, 0, 64, 129, 355, 1301, 432, 2610, 399, 1378, 256, 205, 29, 9, 0], [1, 0, 64, 130, 345, 1346, 312, 2820, 147, 1588, 136, 250, 19, 10, 0], [1, 0, 64, 130, 346, 1336, 357, 2700, 357, 1336, 346, 130, 64, 0, 1], [1, 0, 64, 131, 336, 1381, 237, 2910, 105, 1546, 226, 175, 54, 1, 1], [1, 0, 65, 115, 440, 1001, 1122, 1518, 1617, 418, 781, 15, 70, 5, 0], [1, 0, 65, 116, 430, 1046, 1002, 1728, 1365, 628, 661, 60, 60, 6, 0], [1, 0, 65, 117, 420, 1091, 882, 1938, 1113, 838, 541, 105, 50, 7, 0], [1, 0, 65, 118, 410, 1136, 762, 2148, 861, 1048, 421, 150, 40, 8, 0], [1, 0, 65, 119, 400, 1181, 642, 2358, 609, 1258, 301, 195, 30, 9, 0], [1, 0, 65, 120, 390, 1226, 522, 2568, 357, 1468, 181, 240, 20, 10, 0], [1, 0, 65, 120, 391, 1216, 567, 2448, 567, 1216, 391, 120, 65, 0, 1], [1, 0, 65, 121, 380, 1271, 402, 2778, 105, 1678, 61, 285, 10, 11, 0], [1, 0, 65, 121, 381, 1261, 447, 2658, 315, 1426, 271, 165, 55, 1, 1], [1, 0, 65, 122, 371, 1306, 327, 2868, 63, 1636, 151, 210, 45, 2, 1], [1, 0, 66, 105, 485, 881, 1332, 1266, 1827, 298, 826, 5, 71, 5, 0], [1, 0, 66, 106, 475, 926, 1212, 1476, 1575, 508, 706, 50, 61, 6, 0], [1, 0, 66, 107, 465, 971, 1092, 1686, 1323, 718, 586, 95, 51, 7, 0], [1, 0, 66, 108, 455, 1016, 972, 1896, 1071, 928, 466, 140, 41, 8, 0], [1, 0, 66, 109, 445, 1061, 852, 2106, 819, 1138, 346, 185, 31, 9, 0], [1, 0, 66, 110, 435, 1106, 732, 2316, 567, 1348, 226, 230, 21, 10, 0], [1, 0, 66, 110, 436, 1096, 777, 2196, 777, 1096, 436, 110, 66, 0, 1], [1, 0, 66, 111, 425, 1151, 612, 2526, 315, 1558, 106, 275, 11, 11, 0], [1, 0, 66, 111, 426, 1141, 657, 2406, 525, 1306, 316, 155, 56, 1, 1], [1, 0, 66, 112, 416, 1186, 537, 2616, 273, 1516, 196, 200, 46, 2, 1], [1, 0, 66, 113, 406, 1231, 417, 2826, 21, 1726, 76, 245, 36, 3, 1], [1, 0, 67, 96, 520, 806, 1422, 1224, 1785, 388, 751, 40, 62, 6, 0], [1, 0, 67, 97, 510, 851, 1302, 1434, 1533, 598, 631, 85, 52, 7, 0], [1, 0, 67, 98, 500, 896, 1182, 1644, 1281, 808, 511, 130, 42, 8, 0], [1, 0, 67, 99, 490, 941, 1062, 1854, 1029, 1018, 391, 175, 32, 9, 0], [1, 0, 67, 100, 480, 986, 942, 2064, 777, 1228, 271, 220, 22, 10, 0], [1, 0, 67, 100, 481, 976, 987, 1944, 987, 976, 481, 100, 67, 0, 1], [1, 0, 67, 101, 470, 1031, 822, 2274, 525, 1438, 151, 265, 12, 11, 0], [1, 0, 67, 101, 471, 1021, 867, 2154, 735, 1186, 361, 145, 57, 1, 1], [1, 0, 67, 102, 460, 1076, 702, 2484, 273, 1648, 31, 310, 2, 12, 0], [1, 0, 67, 102, 461, 1066, 747, 2364, 483, 1396, 241, 190, 47, 2, 1], [1, 0, 67, 103, 451, 1111, 627, 2574, 231, 1606, 121, 235, 37, 3, 1], [1, 0, 68, 86, 565, 686, 1632, 972, 1995, 268, 796, 30, 63, 6, 0], [1, 0, 68, 87, 555, 731, 1512, 1182, 1743, 478, 676, 75, 53, 7, 0], [1, 0, 68, 88, 545, 776, 1392, 1392, 1491, 688, 556, 120, 43, 8, 0], [1, 0, 68, 89, 535, 821, 1272, 1602, 1239, 898, 436, 165, 33, 9, 0], [1, 0, 68, 90, 525, 866, 1152, 1812, 987, 1108, 316, 210, 23, 10, 0], [1, 0, 68, 90, 526, 856, 1197, 1692, 1197, 856, 526, 90, 68, 0, 1], [1, 0, 68, 91, 515, 911, 1032, 2022, 735, 1318, 196, 255, 13, 11, 0], [1, 0, 68, 91, 516, 901, 1077, 1902, 945, 1066, 406, 135, 58, 1, 1], [1, 0, 68, 92, 505, 956, 912, 2232, 483, 1528, 76, 300, 3, 12, 0], [1, 0, 68, 92, 506, 946, 957, 2112, 693, 1276, 286, 180, 48, 2, 1], [1, 0, 68, 93, 496, 991, 837, 2322, 441, 1486, 166, 225, 38, 3, 1], [1, 0, 68, 94, 486, 1036, 717, 2532, 189, 1696, 46, 270, 28, 4, 1], [1, 0, 69, 76, 610, 566, 1842, 720, 2205, 148, 841, 20, 64, 6, 0], [1, 0, 69, 77, 600, 611, 1722, 930, 1953, 358, 721, 65, 54, 7, 0], [1, 0, 69, 78, 590, 656, 1602, 1140, 1701, 568, 601, 110, 44, 8, 0], [1, 0, 69, 79, 580, 701, 1482, 1350, 1449, 778, 481, 155, 34, 9, 0], [1, 0, 69, 80, 570, 746, 1362, 1560, 1197, 988, 361, 200, 24, 10, 0], [1, 0, 69, 80, 571, 736, 1407, 1440, 1407, 736, 571, 80, 69, 0, 1], [1, 0, 69, 81, 560, 791, 1242, 1770, 945, 1198, 241, 245, 14, 11, 0], [1, 0, 69, 81, 561, 781, 1287, 1650, 1155, 946, 451, 125, 59, 1, 1], [1, 0, 69, 82, 550, 836, 1122, 1980, 693, 1408, 121, 290, 4, 12, 0], [1, 0, 69, 82, 551, 826, 1167, 1860, 903, 1156, 331, 170, 49, 2, 1], [1, 0, 69, 83, 541, 871, 1047, 2070, 651, 1366, 211, 215, 39, 3, 1], [1, 0, 69, 84, 531, 916, 927, 2280, 399, 1576, 91, 260, 29, 4, 1], [1, 0, 70, 66, 655, 446, 2052, 468, 2415, 28, 886, 10, 65, 6, 0], [1, 0, 70, 67, 645, 491, 1932, 678, 2163, 238, 766, 55, 55, 7, 0], [1, 0, 70, 68, 635, 536, 1812, 888, 1911, 448, 646, 100, 45, 8, 0], [1, 0, 70, 69, 625, 581, 1692, 1098, 1659, 658, 526, 145, 35, 9, 0], [1, 0, 70, 70, 615, 626, 1572, 1308, 1407, 868, 406, 190, 25, 10, 0], [1, 0, 70, 70, 616, 616, 1617, 1188, 1617, 616, 616, 70, 70, 0, 1], [1, 0, 70, 71, 605, 671, 1452, 1518, 1155, 1078, 286, 235, 15, 11, 0], [1, 0, 70, 71, 606, 661, 1497, 1398, 1365, 826, 496, 115, 60, 1, 1], [1, 0, 70, 72, 595, 716, 1332, 1728, 903, 1288, 166, 280, 5, 12, 0], [1, 0, 70, 72, 596, 706, 1377, 1608, 1113, 1036, 376, 160, 50, 2, 1], [1, 0, 70, 73, 586, 751, 1257, 1818, 861, 1246, 256, 205, 40, 3, 1], [1, 0, 70, 74, 576, 796, 1137, 2028, 609, 1456, 136, 250, 30, 4, 1], [1, 0, 70, 75, 566, 841, 1017, 2238, 357, 1666, 16, 295, 20, 5, 1], [1, 0, 71, 57, 690, 371, 2142, 426, 2373, 118, 811, 45, 56, 7, 0], [1, 0, 71, 58, 680, 416, 2022, 636, 2121, 328, 691, 90, 46, 8, 0], [1, 0, 71, 59, 670, 461, 1902, 846, 1869, 538, 571, 135, 36, 9, 0], [1, 0, 71, 60, 660, 506, 1782, 1056, 1617, 748, 451, 180, 26, 10, 0], [1, 0, 71, 60, 661, 496, 1827, 936, 1827, 496, 661, 60, 71, 0, 1], [1, 0, 71, 61, 650, 551, 1662, 1266, 1365, 958, 331, 225, 16, 11, 0], [1, 0, 71, 61, 651, 541, 1707, 1146, 1575, 706, 541, 105, 61, 1, 1], [1, 0, 71, 62, 640, 596, 1542, 1476, 1113, 1168, 211, 270, 6, 12, 0], [1, 0, 71, 62, 641, 586, 1587, 1356, 1323, 916, 421, 150, 51, 2, 1], [1, 0, 71, 63, 631, 631, 1467, 1566, 1071, 1126, 301, 195, 41, 3, 1], [1, 0, 71, 64, 621, 676, 1347, 1776, 819, 1336, 181, 240, 31, 4, 1], [1, 0, 71, 65, 611, 721, 1227, 1986, 567, 1546, 61, 285, 21, 5, 1], [1, 0, 72, 48, 725, 296, 2232, 384, 2331, 208, 736, 80, 47, 8, 0], [1, 0, 72, 49, 715, 341, 2112, 594, 2079, 418, 616, 125, 37, 9, 0], [1, 0, 72, 50, 705, 386, 1992, 804, 1827, 628, 496, 170, 27, 10, 0], [1, 0, 72, 50, 706, 376, 2037, 684, 2037, 376, 706, 50, 72, 0, 1], [1, 0, 72, 51, 695, 431, 1872, 1014, 1575, 838, 376, 215, 17, 11, 0], [1, 0, 72, 51, 696, 421, 1917, 894, 1785, 586, 586, 95, 62, 1, 1], [1, 0, 72, 52, 685, 476, 1752, 1224, 1323, 1048, 256, 260, 7, 12, 0], [1, 0, 72, 52, 686, 466, 1797, 1104, 1533, 796, 466, 140, 52, 2, 1], [1, 0, 72, 53, 676, 511, 1677, 1314, 1281, 1006, 346, 185, 42, 3, 1], [1, 0, 72, 54, 666, 556, 1557, 1524, 1029, 1216, 226, 230, 32, 4, 1], [1, 0, 72, 55, 656, 601, 1437, 1734, 777, 1426, 106, 275, 22, 5, 1], [1, 0, 73, 38, 770, 176, 2442, 132, 2541, 88, 781, 70, 48, 8, 0], [1, 0, 73, 39, 760, 221, 2322, 342, 2289, 298, 661, 115, 38, 9, 0], [1, 0, 73, 40, 750, 266, 2202, 552, 2037, 508, 541, 160, 28, 10, 0], [1, 0, 73, 40, 751, 256, 2247, 432, 2247, 256, 751, 40, 73, 0, 1], [1, 0, 73, 41, 740, 311, 2082, 762, 1785, 718, 421, 205, 18, 11, 0], [1, 0, 73, 41, 741, 301, 2127, 642, 1995, 466, 631, 85, 63, 1, 1], [1, 0, 73, 42, 730, 356, 1962, 972, 1533, 928, 301, 250, 8, 12, 0], [1, 0, 73, 42, 731, 346, 2007, 852, 1743, 676, 511, 130, 53, 2, 1], [1, 0, 73, 43, 721, 391, 1887, 1062, 1491, 886, 391, 175, 43, 3, 1], [1, 0, 73, 44, 711, 436, 1767, 1272, 1239, 1096, 271, 220, 33, 4, 1], [1, 0, 73, 45, 701, 481, 1647, 1482, 987, 1306, 151, 265, 23, 5, 1], [1, 0, 73, 46, 691, 526, 1527, 1692, 735, 1516, 31, 310, 13, 6, 1], [1, 0, 74, 29, 805, 101, 2532, 90, 2499, 178, 706, 105, 39, 9, 0], [1, 0, 74, 30, 795, 146, 2412, 300, 2247, 388, 586, 150, 29, 10, 0], [1, 0, 74, 30, 796, 136, 2457, 180, 2457, 136, 796, 30, 74, 0, 1], [1, 0, 74, 31, 785, 191, 2292, 510, 1995, 598, 466, 195, 19, 11, 0], [1, 0, 74, 31, 786, 181, 2337, 390, 2205, 346, 676, 75, 64, 1, 1], [1, 0, 74, 32, 775, 236, 2172, 720, 1743, 808, 346, 240, 9, 12, 0], [1, 0, 74, 32, 776, 226, 2217, 600, 1953, 556, 556, 120, 54, 2, 1], [1, 0, 74, 33, 766, 271, 2097, 810, 1701, 766, 436, 165, 44, 3, 1], [1, 0, 74, 34, 756, 316, 1977, 1020, 1449, 976, 316, 210, 34, 4, 1], [1, 0, 74, 35, 746, 361, 1857, 1230, 1197, 1186, 196, 255, 24, 5, 1], [1, 0, 74, 36, 736, 406, 1737, 1440, 945, 1396, 76, 300, 14, 6, 1], [1, 0, 75, 20, 840, 26, 2622, 48, 2457, 268, 631, 140, 30, 10, 0], [1, 0, 75, 21, 830, 71, 2502, 258, 2205, 478, 511, 185, 20, 11, 0], [1, 0, 75, 21, 831, 61, 2547, 138, 2415, 226, 721, 65, 65, 1, 1], [1, 0, 75, 22, 820, 116, 2382, 468, 1953, 688, 391, 230, 10, 12, 0], [1, 0, 75, 22, 821, 106, 2427, 348, 2163, 436, 601, 110, 55, 2, 1], [1, 0, 75, 23, 810, 161, 2262, 678, 1701, 898, 271, 275, 0, 13, 0], [1, 0, 75, 23, 811, 151, 2307, 558, 1911, 646, 481, 155, 45, 3, 1], [1, 0, 75, 24, 801, 196, 2187, 768, 1659, 856, 361, 200, 35, 4, 1], [1, 0, 75, 25, 791, 241, 2067, 978, 1407, 1066, 241, 245, 25, 5, 1], [1, 0, 75, 26, 781, 286, 1947, 1188, 1155, 1276, 121, 290, 15, 6, 1], [1, 0, 75, 27, 771, 331, 1827, 1398, 903, 1486, 1, 335, 5, 7, 1], [1, 0, 76, 13, 855, 41, 2472, 426, 1911, 778, 316, 265, 1, 13, 0], [1, 0, 76, 13, 856, 31, 2517, 306, 2121, 526, 526, 145, 46, 3, 1], [1, 0, 76, 14, 846, 76, 2397, 516, 1869, 736, 406, 190, 36, 4, 1], [1, 0, 76, 15, 836, 121, 2277, 726, 1617, 946, 286, 235, 26, 5, 1], [1, 0, 76, 16, 826, 166, 2157, 936, 1365, 1156, 166, 280, 16, 6, 1], [1, 0, 76, 17, 816, 211, 2037, 1146, 1113, 1366, 46, 325, 6, 7, 1], [1, 0, 77, 5, 881, 1, 2487, 474, 1827, 826, 331, 225, 27, 5, 1], [1, 0, 77, 6, 871, 46, 2367, 684, 1575, 1036, 211, 270, 17, 6, 1], [1, 0, 77, 7, 861, 91, 2247, 894, 1323, 1246, 91, 315, 7, 7, 1], [1, 1, 51, 199, 150, 1646, 150, 2526, 909, 733, 711, 11, 76, 4, 0], [1, 1, 51, 200, 140, 1691, 30, 2736, 657, 943, 591, 56, 66, 5, 0], [1, 1, 52, 189, 195, 1526, 360, 2274, 1119, 613, 756, 1, 77, 4, 0], [1, 1, 52, 190, 185, 1571, 240, 2484, 867, 823, 636, 46, 67, 5, 0], [1, 1, 52, 191, 175, 1616, 120, 2694, 615, 1033, 516, 91, 57, 6, 0], [1, 1, 52, 192, 165, 1661, 0, 2904, 363, 1243, 396, 136, 47, 7, 0], [1, 1, 53, 180, 230, 1451, 450, 2232, 1077, 703, 681, 36, 68, 5, 0], [1, 1, 53, 181, 220, 1496, 330, 2442, 825, 913, 561, 81, 58, 6, 0], [1, 1, 53, 182, 210, 1541, 210, 2652, 573, 1123, 441, 126, 48, 7, 0], [1, 1, 53, 183, 200, 1586, 90, 2862, 321, 1333, 321, 171, 38, 8, 0], [1, 1, 54, 170, 275, 1331, 660, 1980, 1287, 583, 726, 26, 69, 5, 0], [1, 1, 54, 171, 265, 1376, 540, 2190, 1035, 793, 606, 71, 59, 6, 0], [1, 1, 54, 172, 255, 1421, 420, 2400, 783, 1003, 486, 116, 49, 7, 0], [1, 1, 54, 173, 245, 1466, 300, 2610, 531, 1213, 366, 161, 39, 8, 0], [1, 1, 54, 174, 235, 1511, 180, 2820, 279, 1423, 246, 206, 29, 9, 0], [1, 1, 54, 175, 225, 1556, 60, 3030, 27, 1633, 126, 251, 19, 10, 0], [1, 1, 54, 175, 226, 1546, 105, 2910, 237, 1381, 336, 131, 64, 0, 1], [1, 1, 55, 160, 320, 1211, 870, 1728, 1497, 463, 771, 16, 70, 5, 0], [1, 1, 55, 161, 310, 1256, 750, 1938, 1245, 673, 651, 61, 60, 6, 0], [1, 1, 55, 162, 300, 1301, 630, 2148, 993, 883, 531, 106, 50, 7, 0], [1, 1, 55, 163, 290, 1346, 510, 2358, 741, 1093, 411, 151, 40, 8, 0], [1, 1, 55, 164, 280, 1391, 390, 2568, 489, 1303, 291, 196, 30, 9, 0], [1, 1, 55, 165, 270, 1436, 270, 2778, 237, 1513, 171, 241, 20, 10, 0], [1, 1, 55, 165, 271, 1426, 315, 2658, 447, 1261, 381, 121, 65, 0, 1], [1, 1, 55, 166, 261, 1471, 195, 2868, 195, 1471, 261, 166, 55, 1, 1], [1, 1, 56, 150, 365, 1091, 1080, 1476, 1707, 343, 816, 6, 71, 5, 0], [1, 1, 56, 151, 355, 1136, 960, 1686, 1455, 553, 696, 51, 61, 6, 0], [1, 1, 56, 152, 345, 1181, 840, 1896, 1203, 763, 576, 96, 51, 7, 0], [1, 1, 56, 153, 335, 1226, 720, 2106, 951, 973, 456, 141, 41, 8, 0], [1, 1, 56, 154, 325, 1271, 600, 2316, 699, 1183, 336, 186, 31, 9, 0], [1, 1, 56, 155, 315, 1316, 480, 2526, 447, 1393, 216, 231, 21, 10, 0], [1, 1, 56, 155, 316, 1306, 525, 2406, 657, 1141, 426, 111, 66, 0, 1], [1, 1, 56, 156, 305, 1361, 360, 2736, 195, 1603, 96, 276, 11, 11, 0], [1, 1, 56, 156, 306, 1351, 405, 2616, 405, 1351, 306, 156, 56, 1, 1], [1, 1, 56, 157, 296, 1396, 285, 2826, 153, 1561, 186, 201, 46, 2, 1], [1, 1, 57, 141, 400, 1016, 1170, 1434, 1665, 433, 741, 41, 62, 6, 0], [1, 1, 57, 142, 390, 1061, 1050, 1644, 1413, 643, 621, 86, 52, 7, 0], [1, 1, 57, 143, 380, 1106, 930, 1854, 1161, 853, 501, 131, 42, 8, 0], [1, 1, 57, 144, 370, 1151, 810, 2064, 909, 1063, 381, 176, 32, 9, 0], [1, 1, 57, 145, 360, 1196, 690, 2274, 657, 1273, 261, 221, 22, 10, 0], [1, 1, 57, 145, 361, 1186, 735, 2154, 867, 1021, 471, 101, 67, 0, 1], [1, 1, 57, 146, 350, 1241, 570, 2484, 405, 1483, 141, 266, 12, 11, 0], [1, 1, 57, 146, 351, 1231, 615, 2364, 615, 1231, 351, 146, 57, 1, 1], [1, 1, 57, 147, 340, 1286, 450, 2694, 153, 1693, 21, 311, 2, 12, 0], [1, 1, 57, 147, 341, 1276, 495, 2574, 363, 1441, 231, 191, 47, 2, 1], [1, 1, 57, 148, 331, 1321, 375, 2784, 111, 1651, 111, 236, 37, 3, 1], [1, 1, 58, 131, 445, 896, 1380, 1182, 1875, 313, 786, 31, 63, 6, 0], [1, 1, 58, 132, 435, 941, 1260, 1392, 1623, 523, 666, 76, 53, 7, 0], [1, 1, 58, 133, 425, 986, 1140, 1602, 1371, 733, 546, 121, 43, 8, 0], [1, 1, 58, 134, 415, 1031, 1020, 1812, 1119, 943, 426, 166, 33, 9, 0], [1, 1, 58, 135, 405, 1076, 900, 2022, 867, 1153, 306, 211, 23, 10, 0], [1, 1, 58, 135, 406, 1066, 945, 1902, 1077, 901, 516, 91, 68, 0, 1], [1, 1, 58, 136, 395, 1121, 780, 2232, 615, 1363, 186, 256, 13, 11, 0], [1, 1, 58, 136, 396, 1111, 825, 2112, 825, 1111, 396, 136, 58, 1, 1], [1, 1, 58, 137, 385, 1166, 660, 2442, 363, 1573, 66, 301, 3, 12, 0], [1, 1, 58, 137, 386, 1156, 705, 2322, 573, 1321, 276, 181, 48, 2, 1], [1, 1, 58, 138, 376, 1201, 585, 2532, 321, 1531, 156, 226, 38, 3, 1], [1, 1, 58, 139, 366, 1246, 465, 2742, 69, 1741, 36, 271, 28, 4, 1], [1, 1, 59, 121, 490, 776, 1590, 930, 2085, 193, 831, 21, 64, 6, 0], [1, 1, 59, 122, 480, 821, 1470, 1140, 1833, 403, 711, 66, 54, 7, 0], [1, 1, 59, 123, 470, 866, 1350, 1350, 1581, 613, 591, 111, 44, 8, 0], [1, 1, 59, 124, 460, 911, 1230, 1560, 1329, 823, 471, 156, 34, 9, 0], [1, 1, 59, 125, 450, 956, 1110, 1770, 1077, 1033, 351, 201, 24, 10, 0], [1, 1, 59, 125, 451, 946, 1155, 1650, 1287, 781, 561, 81, 69, 0, 1], [1, 1, 59, 126, 440, 1001, 990, 1980, 825, 1243, 231, 246, 14, 11, 0], [1, 1, 59, 126, 441, 991, 1035, 1860, 1035, 991, 441, 126, 59, 1, 1], [1, 1, 59, 127, 430, 1046, 870, 2190, 573, 1453, 111, 291, 4, 12, 0], [1, 1, 59, 127, 431, 1036, 915, 2070, 783, 1201, 321, 171, 49, 2, 1], [1, 1, 59, 128, 421, 1081, 795, 2280, 531, 1411, 201, 216, 39, 3, 1], [1, 1, 59, 129, 411, 1126, 675, 2490, 279, 1621, 81, 261, 29, 4, 1], [1, 1, 60, 111, 535, 656, 1800, 678, 2295, 73, 876, 11, 65, 6, 0], [1, 1, 60, 112, 525, 701, 1680, 888, 2043, 283, 756, 56, 55, 7, 0], [1, 1, 60, 113, 515, 746, 1560, 1098, 1791, 493, 636, 101, 45, 8, 0], [1, 1, 60, 114, 505, 791, 1440, 1308, 1539, 703, 516, 146, 35, 9, 0], [1, 1, 60, 115, 495, 836, 1320, 1518, 1287, 913, 396, 191, 25, 10, 0], [1, 1, 60, 115, 496, 826, 1365, 1398, 1497, 661, 606, 71, 70, 0, 1], [1, 1, 60, 116, 485, 881, 1200, 1728, 1035, 1123, 276, 236, 15, 11, 0], [1, 1, 60, 116, 486, 871, 1245, 1608, 1245, 871, 486, 116, 60, 1, 1], [1, 1, 60, 117, 475, 926, 1080, 1938, 783, 1333, 156, 281, 5, 12, 0], [1, 1, 60, 117, 476, 916, 1125, 1818, 993, 1081, 366, 161, 50, 2, 1], [1, 1, 60, 118, 466, 961, 1005, 2028, 741, 1291, 246, 206, 40, 3, 1], [1, 1, 60, 119, 456, 1006, 885, 2238, 489, 1501, 126, 251, 30, 4, 1], [1, 1, 60, 120, 446, 1051, 765, 2448, 237, 1711, 6, 296, 20, 5, 1], [1, 1, 61, 102, 570, 581, 1890, 636, 2253, 163, 801, 46, 56, 7, 0], [1, 1, 61, 103, 560, 626, 1770, 846, 2001, 373, 681, 91, 46, 8, 0], [1, 1, 61, 104, 550, 671, 1650, 1056, 1749, 583, 561, 136, 36, 9, 0], [1, 1, 61, 105, 540, 716, 1530, 1266, 1497, 793, 441, 181, 26, 10, 0], [1, 1, 61, 105, 541, 706, 1575, 1146, 1707, 541, 651, 61, 71, 0, 1], [1, 1, 61, 106, 530, 761, 1410, 1476, 1245, 1003, 321, 226, 16, 11, 0], [1, 1, 61, 106, 531, 751, 1455, 1356, 1455, 751, 531, 106, 61, 1, 1], [1, 1, 61, 107, 520, 806, 1290, 1686, 993, 1213, 201, 271, 6, 12, 0], [1, 1, 61, 107, 521, 796, 1335, 1566, 1203, 961, 411, 151, 51, 2, 1], [1, 1, 61, 108, 511, 841, 1215, 1776, 951, 1171, 291, 196, 41, 3, 1], [1, 1, 61, 109, 501, 886, 1095, 1986, 699, 1381, 171, 241, 31, 4, 1], [1, 1, 61, 110, 491, 931, 975, 2196, 447, 1591, 51, 286, 21, 5, 1], [1, 1, 62, 92, 615, 461, 2100, 384, 2463, 43, 846, 36, 57, 7, 0], [1, 1, 62, 93, 605, 506, 1980, 594, 2211, 253, 726, 81, 47, 8, 0], [1, 1, 62, 94, 595, 551, 1860, 804, 1959, 463, 606, 126, 37, 9, 0], [1, 1, 62, 95, 585, 596, 1740, 1014, 1707, 673, 486, 171, 27, 10, 0], [1, 1, 62, 95, 586, 586, 1785, 894, 1917, 421, 696, 51, 72, 0, 1], [1, 1, 62, 96, 575, 641, 1620, 1224, 1455, 883, 366, 216, 17, 11, 0], [1, 1, 62, 96, 576, 631, 1665, 1104, 1665, 631, 576, 96, 62, 1, 1], [1, 1, 62, 97, 565, 686, 1500, 1434, 1203, 1093, 246, 261, 7, 12, 0], [1, 1, 62, 97, 566, 676, 1545, 1314, 1413, 841, 456, 141, 52, 2, 1], [1, 1, 62, 98, 556, 721, 1425, 1524, 1161, 1051, 336, 186, 42, 3, 1], [1, 1, 62, 99, 546, 766, 1305, 1734, 909, 1261, 216, 231, 32, 4, 1], [1, 1, 62, 100, 536, 811, 1185, 1944, 657, 1471, 96, 276, 22, 5, 1], [1, 1, 63, 83, 650, 386, 2190, 342, 2421, 133, 771, 71, 48, 8, 0], [1, 1, 63, 84, 640, 431, 2070, 552, 2169, 343, 651, 116, 38, 9, 0], [1, 1, 63, 85, 630, 476, 1950, 762, 1917, 553, 531, 161, 28, 10, 0], [1, 1, 63, 85, 631, 466, 1995, 642, 2127, 301, 741, 41, 73, 0, 1], [1, 1, 63, 86, 620, 521, 1830, 972, 1665, 763, 411, 206, 18, 11, 0], [1, 1, 63, 86, 621, 511, 1875, 852, 1875, 511, 621, 86, 63, 1, 1], [1, 1, 63, 87, 610, 566, 1710, 1182, 1413, 973, 291, 251, 8, 12, 0], [1, 1, 63, 87, 611, 556, 1755, 1062, 1623, 721, 501, 131, 53, 2, 1], [1, 1, 63, 88, 601, 601, 1635, 1272, 1371, 931, 381, 176, 43, 3, 1], [1, 1, 63, 89, 591, 646, 1515, 1482, 1119, 1141, 261, 221, 33, 4, 1], [1, 1, 63, 90, 581, 691, 1395, 1692, 867, 1351, 141, 266, 23, 5, 1], [1, 1, 63, 91, 571, 736, 1275, 1902, 615, 1561, 21, 311, 13, 6, 1], [1, 1, 64, 73, 695, 266, 2400, 90, 2631, 13, 816, 61, 49, 8, 0], [1, 1, 64, 74, 685, 311, 2280, 300, 2379, 223, 696, 106, 39, 9, 0], [1, 1, 64, 75, 675, 356, 2160, 510, 2127, 433, 576, 151, 29, 10, 0], [1, 1, 64, 75, 676, 346, 2205, 390, 2337, 181, 786, 31, 74, 0, 1], [1, 1, 64, 76, 665, 401, 2040, 720, 1875, 643, 456, 196, 19, 11, 0], [1, 1, 64, 76, 666, 391, 2085, 600, 2085, 391, 666, 76, 64, 1, 1], [1, 1, 64, 77, 655, 446, 1920, 930, 1623, 853, 336, 241, 9, 12, 0], [1, 1, 64, 77, 656, 436, 1965, 810, 1833, 601, 546, 121, 54, 2, 1], [1, 1, 64, 78, 646, 481, 1845, 1020, 1581, 811, 426, 166, 44, 3, 1], [1, 1, 64, 79, 636, 526, 1725, 1230, 1329, 1021, 306, 211, 34, 4, 1], [1, 1, 64, 80, 626, 571, 1605, 1440, 1077, 1231, 186, 256, 24, 5, 1], [1, 1, 64, 81, 616, 616, 1485, 1650, 825, 1441, 66, 301, 14, 6, 1], [1, 1, 65, 64, 730, 191, 2490, 48, 2589, 103, 741, 96, 40, 9, 0], [1, 1, 65, 65, 720, 236, 2370, 258, 2337, 313, 621, 141, 30, 10, 0], [1, 1, 65, 65, 721, 226, 2415, 138, 2547, 61, 831, 21, 75, 0, 1], [1, 1, 65, 66, 710, 281, 2250, 468, 2085, 523, 501, 186, 20, 11, 0], [1, 1, 65, 66, 711, 271, 2295, 348, 2295, 271, 711, 66, 65, 1, 1], [1, 1, 65, 67, 700, 326, 2130, 678, 1833, 733, 381, 231, 10, 12, 0], [1, 1, 65, 67, 701, 316, 2175, 558, 2043, 481, 591, 111, 55, 2, 1], [1, 1, 65, 68, 690, 371, 2010, 888, 1581, 943, 261, 276, 0, 13, 0], [1, 1, 65, 68, 691, 361, 2055, 768, 1791, 691, 471, 156, 45, 3, 1], [1, 1, 65, 69, 681, 406, 1935, 978, 1539, 901, 351, 201, 35, 4, 1], [1, 1, 65, 70, 671, 451, 1815, 1188, 1287, 1111, 231, 246, 25, 5, 1], [1, 1, 65, 71, 661, 496, 1695, 1398, 1035, 1321, 111, 291, 15, 6, 1], [1, 1, 66, 55, 765, 116, 2580, 6, 2547, 193, 666, 131, 31, 10, 0], [1, 1, 66, 56, 755, 161, 2460, 216, 2295, 403, 546, 176, 21, 11, 0], [1, 1, 66, 56, 756, 151, 2505, 96, 2505, 151, 756, 56, 66, 1, 1], [1, 1, 66, 57, 745, 206, 2340, 426, 2043, 613, 426, 221, 11, 12, 0], [1, 1, 66, 57, 746, 196, 2385, 306, 2253, 361, 636, 101, 56, 2, 1], [1, 1, 66, 58, 735, 251, 2220, 636, 1791, 823, 306, 266, 1, 13, 0], [1, 1, 66, 58, 736, 241, 2265, 516, 2001, 571, 516, 146, 46, 3, 1], [1, 1, 66, 59, 726, 286, 2145, 726, 1749, 781, 396, 191, 36, 4, 1], [1, 1, 66, 60, 716, 331, 2025, 936, 1497, 991, 276, 236, 26, 5, 1], [1, 1, 66, 61, 706, 376, 1905, 1146, 1245, 1201, 156, 281, 16, 6, 1], [1, 1, 66, 62, 696, 421, 1785, 1356, 993, 1411, 36, 326, 6, 7, 1], [1, 1, 67, 47, 790, 86, 2550, 174, 2253, 493, 471, 211, 12, 12, 0], [1, 1, 67, 47, 791, 76, 2595, 54, 2463, 241, 681, 91, 57, 2, 1], [1, 1, 67, 48, 780, 131, 2430, 384, 2001, 703, 351, 256, 2, 13, 0], [1, 1, 67, 48, 781, 121, 2475, 264, 2211, 451, 561, 136, 47, 3, 1], [1, 1, 67, 49, 771, 166, 2355, 474, 1959, 661, 441, 181, 37, 4, 1], [1, 1, 67, 50, 761, 211, 2235, 684, 1707, 871, 321, 226, 27, 5, 1], [1, 1, 67, 51, 751, 256, 2115, 894, 1455, 1081, 201, 271, 17, 6, 1], [1, 1, 67, 52, 741, 301, 1995, 1104, 1203, 1291, 81, 316, 7, 7, 1], [1, 1, 68, 38, 825, 11, 2640, 132, 2211, 583, 396, 246, 3, 13, 0], [1, 1, 68, 38, 826, 1, 2685, 12, 2421, 331, 606, 126, 48, 3, 1], [1, 1, 68, 39, 816, 46, 2565, 222, 2169, 541, 486, 171, 38, 4, 1], [1, 1, 68, 40, 806, 91, 2445, 432, 1917, 751, 366, 216, 28, 5, 1], [1, 1, 68, 41, 796, 136, 2325, 642, 1665, 961, 246, 261, 18, 6, 1], [1, 1, 68, 42, 786, 181, 2205, 852, 1413, 1171, 126, 306, 8, 7, 1], [1, 1, 69, 31, 841, 16, 2535, 390, 1875, 841, 291, 251, 19, 6, 1], [1, 1, 69, 32, 831, 61, 2415, 600, 1623, 1051, 171, 296, 9, 7, 1], [1, 1, 69, 35, 802, 186, 2100, 1110, 1077, 1429, 21, 311, 24, 0, 2], [1, 1, 70, 25, 847, 66, 2310, 858, 1287, 1309, 66, 301, 25, 0, 2], [1, 2, 42, 234, 75, 1736, 108, 2484, 999, 658, 746, 2, 77, 4, 0], [1, 2, 43, 225, 110, 1661, 198, 2442, 957, 748, 671, 37, 68, 5, 0], [1, 2, 43, 226, 100, 1706, 78, 2652, 705, 958, 551, 82, 58, 6, 0], [1, 2, 44, 215, 155, 1541, 408, 2190, 1167, 628, 716, 27, 69, 5, 0], [1, 2, 44, 216, 145, 1586, 288, 2400, 915, 838, 596, 72, 59, 6, 0], [1, 2, 44, 217, 135, 1631, 168, 2610, 663, 1048, 476, 117, 49, 7, 0], [1, 2, 44, 218, 125, 1676, 48, 2820, 411, 1258, 356, 162, 39, 8, 0], [1, 2, 45, 205, 200, 1421, 618, 1938, 1377, 508, 761, 17, 70, 5, 0], [1, 2, 45, 206, 190, 1466, 498, 2148, 1125, 718, 641, 62, 60, 6, 0], [1, 2, 45, 207, 180, 1511, 378, 2358, 873, 928, 521, 107, 50, 7, 0], [1, 2, 45, 208, 170, 1556, 258, 2568, 621, 1138, 401, 152, 40, 8, 0], [1, 2, 45, 209, 160, 1601, 138, 2778, 369, 1348, 281, 197, 30, 9, 0], [1, 2, 45, 210, 150, 1646, 18, 2988, 117, 1558, 161, 242, 20, 10, 0], [1, 2, 45, 210, 151, 1636, 63, 2868, 327, 1306, 371, 122, 65, 0, 1], [1, 2, 46, 195, 245, 1301, 828, 1686, 1587, 388, 806, 7, 71, 5, 0], [1, 2, 46, 196, 235, 1346, 708, 1896, 1335, 598, 686, 52, 61, 6, 0], [1, 2, 46, 197, 225, 1391, 588, 2106, 1083, 808, 566, 97, 51, 7, 0], [1, 2, 46, 198, 215, 1436, 468, 2316, 831, 1018, 446, 142, 41, 8, 0], [1, 2, 46, 199, 205, 1481, 348, 2526, 579, 1228, 326, 187, 31, 9, 0], [1, 2, 46, 200, 195, 1526, 228, 2736, 327, 1438, 206, 232, 21, 10, 0], [1, 2, 46, 200, 196, 1516, 273, 2616, 537, 1186, 416, 112, 66, 0, 1], [1, 2, 46, 201, 185, 1571, 108, 2946, 75, 1648, 86, 277, 11, 11, 0], [1, 2, 46, 201, 186, 1561, 153, 2826, 285, 1396, 296, 157, 56, 1, 1], [1, 2, 46, 202, 176, 1606, 33, 3036, 33, 1606, 176, 202, 46, 2, 1], [1, 2, 47, 186, 280, 1226, 918, 1644, 1545, 478, 731, 42, 62, 6, 0], [1, 2, 47, 187, 270, 1271, 798, 1854, 1293, 688, 611, 87, 52, 7, 0], [1, 2, 47, 188, 260, 1316, 678, 2064, 1041, 898, 491, 132, 42, 8, 0], [1, 2, 47, 189, 250, 1361, 558, 2274, 789, 1108, 371, 177, 32, 9, 0], [1, 2, 47, 190, 240, 1406, 438, 2484, 537, 1318, 251, 222, 22, 10, 0], [1, 2, 47, 190, 241, 1396, 483, 2364, 747, 1066, 461, 102, 67, 0, 1], [1, 2, 47, 191, 230, 1451, 318, 2694, 285, 1528, 131, 267, 12, 11, 0], [1, 2, 47, 191, 231, 1441, 363, 2574, 495, 1276, 341, 147, 57, 1, 1], [1, 2, 47, 192, 220, 1496, 198, 2904, 33, 1738, 11, 312, 2, 12, 0], [1, 2, 47, 192, 221, 1486, 243, 2784, 243, 1486, 221, 192, 47, 2, 1], [1, 2, 48, 176, 325, 1106, 1128, 1392, 1755, 358, 776, 32, 63, 6, 0], [1, 2, 48, 177, 315, 1151, 1008, 1602, 1503, 568, 656, 77, 53, 7, 0], [1, 2, 48, 178, 305, 1196, 888, 1812, 1251, 778, 536, 122, 43, 8, 0], [1, 2, 48, 179, 295, 1241, 768, 2022, 999, 988, 416, 167, 33, 9, 0], [1, 2, 48, 180, 285, 1286, 648, 2232, 747, 1198, 296, 212, 23, 10, 0], [1, 2, 48, 180, 286, 1276, 693, 2112, 957, 946, 506, 92, 68, 0, 1], [1, 2, 48, 181, 275, 1331, 528, 2442, 495, 1408, 176, 257, 13, 11, 0], [1, 2, 48, 181, 276, 1321, 573, 2322, 705, 1156, 386, 137, 58, 1, 1], [1, 2, 48, 182, 265, 1376, 408, 2652, 243, 1618, 56, 302, 3, 12, 0], [1, 2, 48, 182, 266, 1366, 453, 2532, 453, 1366, 266, 182, 48, 2, 1], [1, 2, 48, 183, 256, 1411, 333, 2742, 201, 1576, 146, 227, 38, 3, 1], [1, 2, 49, 166, 370, 986, 1338, 1140, 1965, 238, 821, 22, 64, 6, 0], [1, 2, 49, 167, 360, 1031, 1218, 1350, 1713, 448, 701, 67, 54, 7, 0], [1, 2, 49, 168, 350, 1076, 1098, 1560, 1461, 658, 581, 112, 44, 8, 0], [1, 2, 49, 169, 340, 1121, 978, 1770, 1209, 868, 461, 157, 34, 9, 0], [1, 2, 49, 170, 330, 1166, 858, 1980, 957, 1078, 341, 202, 24, 10, 0], [1, 2, 49, 170, 331, 1156, 903, 1860, 1167, 826, 551, 82, 69, 0, 1], [1, 2, 49, 171, 320, 1211, 738, 2190, 705, 1288, 221, 247, 14, 11, 0], [1, 2, 49, 171, 321, 1201, 783, 2070, 915, 1036, 431, 127, 59, 1, 1], [1, 2, 49, 172, 310, 1256, 618, 2400, 453, 1498, 101, 292, 4, 12, 0], [1, 2, 49, 172, 311, 1246, 663, 2280, 663, 1246, 311, 172, 49, 2, 1], [1, 2, 49, 173, 301, 1291, 543, 2490, 411, 1456, 191, 217, 39, 3, 1], [1, 2, 49, 174, 291, 1336, 423, 2700, 159, 1666, 71, 262, 29, 4, 1], [1, 2, 50, 156, 415, 866, 1548, 888, 2175, 118, 866, 12, 65, 6, 0], [1, 2, 50, 157, 405, 911, 1428, 1098, 1923, 328, 746, 57, 55, 7, 0], [1, 2, 50, 158, 395, 956, 1308, 1308, 1671, 538, 626, 102, 45, 8, 0], [1, 2, 50, 159, 385, 1001, 1188, 1518, 1419, 748, 506, 147, 35, 9, 0], [1, 2, 50, 160, 375, 1046, 1068, 1728, 1167, 958, 386, 192, 25, 10, 0], [1, 2, 50, 160, 376, 1036, 1113, 1608, 1377, 706, 596, 72, 70, 0, 1], [1, 2, 50, 161, 365, 1091, 948, 1938, 915, 1168, 266, 237, 15, 11, 0], [1, 2, 50, 161, 366, 1081, 993, 1818, 1125, 916, 476, 117, 60, 1, 1], [1, 2, 50, 162, 355, 1136, 828, 2148, 663, 1378, 146, 282, 5, 12, 0], [1, 2, 50, 162, 356, 1126, 873, 2028, 873, 1126, 356, 162, 50, 2, 1], [1, 2, 50, 163, 346, 1171, 753, 2238, 621, 1336, 236, 207, 40, 3, 1], [1, 2, 50, 164, 336, 1216, 633, 2448, 369, 1546, 116, 252, 30, 4, 1], [1, 2, 51, 147, 450, 791, 1638, 846, 2133, 208, 791, 47, 56, 7, 0], [1, 2, 51, 148, 440, 836, 1518, 1056, 1881, 418, 671, 92, 46, 8, 0], [1, 2, 51, 149, 430, 881, 1398, 1266, 1629, 628, 551, 137, 36, 9, 0], [1, 2, 51, 150, 420, 926, 1278, 1476, 1377, 838, 431, 182, 26, 10, 0], [1, 2, 51, 150, 421, 916, 1323, 1356, 1587, 586, 641, 62, 71, 0, 1], [1, 2, 51, 151, 410, 971, 1158, 1686, 1125, 1048, 311, 227, 16, 11, 0], [1, 2, 51, 151, 411, 961, 1203, 1566, 1335, 796, 521, 107, 61, 1, 1], [1, 2, 51, 152, 400, 1016, 1038, 1896, 873, 1258, 191, 272, 6, 12, 0], [1, 2, 51, 152, 401, 1006, 1083, 1776, 1083, 1006, 401, 152, 51, 2, 1], [1, 2, 51, 153, 391, 1051, 963, 1986, 831, 1216, 281, 197, 41, 3, 1], [1, 2, 51, 154, 381, 1096, 843, 2196, 579, 1426, 161, 242, 31, 4, 1], [1, 2, 51, 155, 371, 1141, 723, 2406, 327, 1636, 41, 287, 21, 5, 1], [1, 2, 52, 137, 495, 671, 1848, 594, 2343, 88, 836, 37, 57, 7, 0], [1, 2, 52, 138, 485, 716, 1728, 804, 2091, 298, 716, 82, 47, 8, 0], [1, 2, 52, 139, 475, 761, 1608, 1014, 1839, 508, 596, 127, 37, 9, 0], [1, 2, 52, 140, 465, 806, 1488, 1224, 1587, 718, 476, 172, 27, 10, 0], [1, 2, 52, 140, 466, 796, 1533, 1104, 1797, 466, 686, 52, 72, 0, 1], [1, 2, 52, 141, 455, 851, 1368, 1434, 1335, 928, 356, 217, 17, 11, 0], [1, 2, 52, 141, 456, 841, 1413, 1314, 1545, 676, 566, 97, 62, 1, 1], [1, 2, 52, 142, 445, 896, 1248, 1644, 1083, 1138, 236, 262, 7, 12, 0], [1, 2, 52, 142, 446, 886, 1293, 1524, 1293, 886, 446, 142, 52, 2, 1], [1, 2, 52, 143, 436, 931, 1173, 1734, 1041, 1096, 326, 187, 42, 3, 1], [1, 2, 52, 144, 426, 976, 1053, 1944, 789, 1306, 206, 232, 32, 4, 1], [1, 2, 52, 145, 416, 1021, 933, 2154, 537, 1516, 86, 277, 22, 5, 1], [1, 2, 53, 128, 530, 596, 1938, 552, 2301, 178, 761, 72, 48, 8, 0], [1, 2, 53, 129, 520, 641, 1818, 762, 2049, 388, 641, 117, 38, 9, 0], [1, 2, 53, 130, 510, 686, 1698, 972, 1797, 598, 521, 162, 28, 10, 0], [1, 2, 53, 130, 511, 676, 1743, 852, 2007, 346, 731, 42, 73, 0, 1], [1, 2, 53, 131, 500, 731, 1578, 1182, 1545, 808, 401, 207, 18, 11, 0], [1, 2, 53, 131, 501, 721, 1623, 1062, 1755, 556, 611, 87, 63, 1, 1], [1, 2, 53, 132, 490, 776, 1458, 1392, 1293, 1018, 281, 252, 8, 12, 0], [1, 2, 53, 132, 491, 766, 1503, 1272, 1503, 766, 491, 132, 53, 2, 1], [1, 2, 53, 133, 481, 811, 1383, 1482, 1251, 976, 371, 177, 43, 3, 1], [1, 2, 53, 134, 471, 856, 1263, 1692, 999, 1186, 251, 222, 33, 4, 1], [1, 2, 53, 135, 461, 901, 1143, 1902, 747, 1396, 131, 267, 23, 5, 1], [1, 2, 53, 136, 451, 946, 1023, 2112, 495, 1606, 11, 312, 13, 6, 1], [1, 2, 54, 118, 575, 476, 2148, 300, 2511, 58, 806, 62, 49, 8, 0], [1, 2, 54, 119, 565, 521, 2028, 510, 2259, 268, 686, 107, 39, 9, 0], [1, 2, 54, 120, 555, 566, 1908, 720, 2007, 478, 566, 152, 29, 10, 0], [1, 2, 54, 120, 556, 556, 1953, 600, 2217, 226, 776, 32, 74, 0, 1], [1, 2, 54, 121, 545, 611, 1788, 930, 1755, 688, 446, 197, 19, 11, 0], [1, 2, 54, 121, 546, 601, 1833, 810, 1965, 436, 656, 77, 64, 1, 1], [1, 2, 54, 122, 535, 656, 1668, 1140, 1503, 898, 326, 242, 9, 12, 0], [1, 2, 54, 122, 536, 646, 1713, 1020, 1713, 646, 536, 122, 54, 2, 1], [1, 2, 54, 123, 526, 691, 1593, 1230, 1461, 856, 416, 167, 44, 3, 1], [1, 2, 54, 124, 516, 736, 1473, 1440, 1209, 1066, 296, 212, 34, 4, 1], [1, 2, 54, 125, 506, 781, 1353, 1650, 957, 1276, 176, 257, 24, 5, 1], [1, 2, 54, 126, 496, 826, 1233, 1860, 705, 1486, 56, 302, 14, 6, 1], [1, 2, 55, 109, 610, 401, 2238, 258, 2469, 148, 731, 97, 40, 9, 0], [1, 2, 55, 110, 600, 446, 2118, 468, 2217, 358, 611, 142, 30, 10, 0], [1, 2, 55, 110, 601, 436, 2163, 348, 2427, 106, 821, 22, 75, 0, 1], [1, 2, 55, 111, 590, 491, 1998, 678, 1965, 568, 491, 187, 20, 11, 0], [1, 2, 55, 111, 591, 481, 2043, 558, 2175, 316, 701, 67, 65, 1, 1], [1, 2, 55, 112, 580, 536, 1878, 888, 1713, 778, 371, 232, 10, 12, 0], [1, 2, 55, 112, 581, 526, 1923, 768, 1923, 526, 581, 112, 55, 2, 1], [1, 2, 55, 113, 570, 581, 1758, 1098, 1461, 988, 251, 277, 0, 13, 0], [1, 2, 55, 113, 571, 571, 1803, 978, 1671, 736, 461, 157, 45, 3, 1], [1, 2, 55, 114, 561, 616, 1683, 1188, 1419, 946, 341, 202, 35, 4, 1], [1, 2, 55, 115, 551, 661, 1563, 1398, 1167, 1156, 221, 247, 25, 5, 1], [1, 2, 55, 116, 541, 706, 1443, 1608, 915, 1366, 101, 292, 15, 6, 1], [1, 2, 56, 99, 655, 281, 2448, 6, 2679, 28, 776, 87, 41, 9, 0], [1, 2, 56, 100, 645, 326, 2328, 216, 2427, 238, 656, 132, 31, 10, 0], [1, 2, 56, 101, 635, 371, 2208, 426, 2175, 448, 536, 177, 21, 11, 0], [1, 2, 56, 101, 636, 361, 2253, 306, 2385, 196, 746, 57, 66, 1, 1], [1, 2, 56, 102, 625, 416, 2088, 636, 1923, 658, 416, 222, 11, 12, 0], [1, 2, 56, 102, 626, 406, 2133, 516, 2133, 406, 626, 102, 56, 2, 1], [1, 2, 56, 103, 615, 461, 1968, 846, 1671, 868, 296, 267, 1, 13, 0], [1, 2, 56, 103, 616, 451, 2013, 726, 1881, 616, 506, 147, 46, 3, 1], [1, 2, 56, 104, 606, 496, 1893, 936, 1629, 826, 386, 192, 36, 4, 1], [1, 2, 56, 105, 596, 541, 1773, 1146, 1377, 1036, 266, 237, 26, 5, 1], [1, 2, 56, 106, 586, 586, 1653, 1356, 1125, 1246, 146, 282, 16, 6, 1], [1, 2, 56, 107, 576, 631, 1533, 1566, 873, 1456, 26, 327, 6, 7, 1], [1, 2, 57, 91, 680, 251, 2418, 174, 2385, 328, 581, 167, 22, 11, 0], [1, 2, 57, 91, 681, 241, 2463, 54, 2595, 76, 791, 47, 67, 1, 1], [1, 2, 57, 92, 670, 296, 2298, 384, 2133, 538, 461, 212, 12, 12, 0], [1, 2, 57, 92, 671, 286, 2343, 264, 2343, 286, 671, 92, 57, 2, 1], [1, 2, 57, 93, 660, 341, 2178, 594, 1881, 748, 341, 257, 2, 13, 0], [1, 2, 57, 93, 661, 331, 2223, 474, 2091, 496, 551, 137, 47, 3, 1], [1, 2, 57, 94, 651, 376, 2103, 684, 1839, 706, 431, 182, 37, 4, 1], [1, 2, 57, 95, 641, 421, 1983, 894, 1587, 916, 311, 227, 27, 5, 1], [1, 2, 57, 96, 631, 466, 1863, 1104, 1335, 1126, 191, 272, 17, 6, 1], [1, 2, 57, 97, 621, 511, 1743, 1314, 1083, 1336, 71, 317, 7, 7, 1], [1, 2, 58, 82, 715, 176, 2508, 132, 2343, 418, 506, 202, 13, 12, 0], [1, 2, 58, 82, 716, 166, 2553, 12, 2553, 166, 716, 82, 58, 2, 1], [1, 2, 58, 83, 705, 221, 2388, 342, 2091, 628, 386, 247, 3, 13, 0], [1, 2, 58, 83, 706, 211, 2433, 222, 2301, 376, 596, 127, 48, 3, 1], [1, 2, 58, 84, 696, 256, 2313, 432, 2049, 586, 476, 172, 38, 4, 1], [1, 2, 58, 85, 686, 301, 2193, 642, 1797, 796, 356, 217, 28, 5, 1], [1, 2, 58, 86, 676, 346, 2073, 852, 1545, 1006, 236, 262, 18, 6, 1], [1, 2, 58, 87, 666, 391, 1953, 1062, 1293, 1216, 116, 307, 8, 7, 1], [1, 2, 59, 73, 750, 101, 2598, 90, 2301, 508, 431, 237, 4, 13, 0], [1, 2, 59, 74, 741, 136, 2523, 180, 2259, 466, 521, 162, 39, 4, 1], [1, 2, 59, 75, 731, 181, 2403, 390, 2007, 676, 401, 207, 29, 5, 1], [1, 2, 59, 76, 721, 226, 2283, 600, 1755, 886, 281, 252, 19, 6, 1], [1, 2, 59, 77, 711, 271, 2163, 810, 1503, 1096, 161, 297, 9, 7, 1], [1, 2, 59, 80, 682, 396, 1848, 1320, 957, 1474, 11, 312, 24, 0, 2], [1, 2, 60, 65, 776, 61, 2613, 138, 2217, 556, 446, 197, 30, 5, 1], [1, 2, 60, 66, 766, 106, 2493, 348, 1965, 766, 326, 242, 20, 6, 1], [1, 2, 60, 67, 756, 151, 2373, 558, 1713, 976, 206, 287, 10, 7, 1], [1, 2, 60, 68, 746, 196, 2253, 768, 1461, 1186, 86, 332, 0, 8, 1], [1, 2, 60, 70, 727, 276, 2058, 1068, 1167, 1354, 56, 302, 25, 0, 2], [1, 2, 61, 57, 801, 31, 2583, 306, 1923, 856, 251, 277, 11, 7, 1], [1, 2, 61, 58, 791, 76, 2463, 516, 1671, 1066, 131, 322, 1, 8, 1], [1, 2, 61, 60, 772, 156, 2268, 816, 1377, 1234, 101, 292, 26, 0, 2], [1, 2, 62, 50, 817, 36, 2478, 564, 1587, 1114, 146, 282, 27, 0, 2], [1, 2, 62, 51, 807, 81, 2358, 774, 1335, 1324, 26, 327, 17, 1, 2], [1, 3, 34, 260, 35, 1751, 156, 2400, 1047, 673, 706, 28, 69, 5, 0], [1, 3, 34, 261, 25, 1796, 36, 2610, 795, 883, 586, 73, 59, 6, 0], [1, 3, 35, 250, 80, 1631, 366, 2148, 1257, 553, 751, 18, 70, 5, 0], [1, 3, 35, 251, 70, 1676, 246, 2358, 1005, 763, 631, 63, 60, 6, 0], [1, 3, 35, 252, 60, 1721, 126, 2568, 753, 973, 511, 108, 50, 7, 0], [1, 3, 35, 253, 50, 1766, 6, 2778, 501, 1183, 391, 153, 40, 8, 0], [1, 3, 36, 240, 125, 1511, 576, 1896, 1467, 433, 796, 8, 71, 5, 0], [1, 3, 36, 241, 115, 1556, 456, 2106, 1215, 643, 676, 53, 61, 6, 0], [1, 3, 36, 242, 105, 1601, 336, 2316, 963, 853, 556, 98, 51, 7, 0], [1, 3, 36, 243, 95, 1646, 216, 2526, 711, 1063, 436, 143, 41, 8, 0], [1, 3, 36, 244, 85, 1691, 96, 2736, 459, 1273, 316, 188, 31, 9, 0], [1, 3, 36, 245, 76, 1726, 21, 2826, 417, 1231, 406, 113, 66, 0, 1], [1, 3, 37, 231, 160, 1436, 666, 1854, 1425, 523, 721, 43, 62, 6, 0], [1, 3, 37, 232, 150, 1481, 546, 2064, 1173, 733, 601, 88, 52, 7, 0], [1, 3, 37, 233, 140, 1526, 426, 2274, 921, 943, 481, 133, 42, 8, 0], [1, 3, 37, 234, 130, 1571, 306, 2484, 669, 1153, 361, 178, 32, 9, 0], [1, 3, 37, 235, 120, 1616, 186, 2694, 417, 1363, 241, 223, 22, 10, 0], [1, 3, 37, 235, 121, 1606, 231, 2574, 627, 1111, 451, 103, 67, 0, 1], [1, 3, 37, 236, 110, 1661, 66, 2904, 165, 1573, 121, 268, 12, 11, 0], [1, 3, 37, 236, 111, 1651, 111, 2784, 375, 1321, 331, 148, 57, 1, 1], [1, 3, 38, 221, 205, 1316, 876, 1602, 1635, 403, 766, 33, 63, 6, 0], [1, 3, 38, 222, 195, 1361, 756, 1812, 1383, 613, 646, 78, 53, 7, 0], [1, 3, 38, 223, 185, 1406, 636, 2022, 1131, 823, 526, 123, 43, 8, 0], [1, 3, 38, 224, 175, 1451, 516, 2232, 879, 1033, 406, 168, 33, 9, 0], [1, 3, 38, 225, 165, 1496, 396, 2442, 627, 1243, 286, 213, 23, 10, 0], [1, 3, 38, 225, 166, 1486, 441, 2322, 837, 991, 496, 93, 68, 0, 1], [1, 3, 38, 226, 155, 1541, 276, 2652, 375, 1453, 166, 258, 13, 11, 0], [1, 3, 38, 226, 156, 1531, 321, 2532, 585, 1201, 376, 138, 58, 1, 1], [1, 3, 38, 227, 145, 1586, 156, 2862, 123, 1663, 46, 303, 3, 12, 0], [1, 3, 38, 227, 146, 1576, 201, 2742, 333, 1411, 256, 183, 48, 2, 1], [1, 3, 38, 228, 136, 1621, 81, 2952, 81, 1621, 136, 228, 38, 3, 1], [1, 3, 39, 211, 250, 1196, 1086, 1350, 1845, 283, 811, 23, 64, 6, 0], [1, 3, 39, 212, 240, 1241, 966, 1560, 1593, 493, 691, 68, 54, 7, 0], [1, 3, 39, 213, 230, 1286, 846, 1770, 1341, 703, 571, 113, 44, 8, 0], [1, 3, 39, 214, 220, 1331, 726, 1980, 1089, 913, 451, 158, 34, 9, 0], [1, 3, 39, 215, 210, 1376, 606, 2190, 837, 1123, 331, 203, 24, 10, 0], [1, 3, 39, 215, 211, 1366, 651, 2070, 1047, 871, 541, 83, 69, 0, 1], [1, 3, 39, 216, 200, 1421, 486, 2400, 585, 1333, 211, 248, 14, 11, 0], [1, 3, 39, 216, 201, 1411, 531, 2280, 795, 1081, 421, 128, 59, 1, 1], [1, 3, 39, 217, 190, 1466, 366, 2610, 333, 1543, 91, 293, 4, 12, 0], [1, 3, 39, 217, 191, 1456, 411, 2490, 543, 1291, 301, 173, 49, 2, 1], [1, 3, 39, 218, 181, 1501, 291, 2700, 291, 1501, 181, 218, 39, 3, 1], [1, 3, 39, 219, 171, 1546, 171, 2910, 39, 1711, 61, 263, 29, 4, 1], [1, 3, 40, 201, 295, 1076, 1296, 1098, 2055, 163, 856, 13, 65, 6, 0], [1, 3, 40, 202, 285, 1121, 1176, 1308, 1803, 373, 736, 58, 55, 7, 0], [1, 3, 40, 203, 275, 1166, 1056, 1518, 1551, 583, 616, 103, 45, 8, 0], [1, 3, 40, 204, 265, 1211, 936, 1728, 1299, 793, 496, 148, 35, 9, 0], [1, 3, 40, 205, 255, 1256, 816, 1938, 1047, 1003, 376, 193, 25, 10, 0], [1, 3, 40, 205, 256, 1246, 861, 1818, 1257, 751, 586, 73, 70, 0, 1], [1, 3, 40, 206, 245, 1301, 696, 2148, 795, 1213, 256, 238, 15, 11, 0], [1, 3, 40, 206, 246, 1291, 741, 2028, 1005, 961, 466, 118, 60, 1, 1], [1, 3, 40, 207, 235, 1346, 576, 2358, 543, 1423, 136, 283, 5, 12, 0], [1, 3, 40, 207, 236, 1336, 621, 2238, 753, 1171, 346, 163, 50, 2, 1], [1, 3, 40, 208, 226, 1381, 501, 2448, 501, 1381, 226, 208, 40, 3, 1], [1, 3, 40, 209, 216, 1426, 381, 2658, 249, 1591, 106, 253, 30, 4, 1], [1, 3, 41, 191, 340, 956, 1506, 846, 2265, 43, 901, 3, 66, 6, 0], [1, 3, 41, 192, 330, 1001, 1386, 1056, 2013, 253, 781, 48, 56, 7, 0], [1, 3, 41, 193, 320, 1046, 1266, 1266, 1761, 463, 661, 93, 46, 8, 0], [1, 3, 41, 194, 310, 1091, 1146, 1476, 1509, 673, 541, 138, 36, 9, 0], [1, 3, 41, 195, 300, 1136, 1026, 1686, 1257, 883, 421, 183, 26, 10, 0], [1, 3, 41, 195, 301, 1126, 1071, 1566, 1467, 631, 631, 63, 71, 0, 1], [1, 3, 41, 196, 290, 1181, 906, 1896, 1005, 1093, 301, 228, 16, 11, 0], [1, 3, 41, 196, 291, 1171, 951, 1776, 1215, 841, 511, 108, 61, 1, 1], [1, 3, 41, 197, 280, 1226, 786, 2106, 753, 1303, 181, 273, 6, 12, 0], [1, 3, 41, 197, 281, 1216, 831, 1986, 963, 1051, 391, 153, 51, 2, 1], [1, 3, 41, 198, 271, 1261, 711, 2196, 711, 1261, 271, 198, 41, 3, 1], [1, 3, 41, 199, 261, 1306, 591, 2406, 459, 1471, 151, 243, 31, 4, 1], [1, 3, 41, 200, 251, 1351, 471, 2616, 207, 1681, 31, 288, 21, 5, 1], [1, 3, 42, 182, 375, 881, 1596, 804, 2223, 133, 826, 38, 57, 7, 0], [1, 3, 42, 183, 365, 926, 1476, 1014, 1971, 343, 706, 83, 47, 8, 0], [1, 3, 42, 184, 355, 971, 1356, 1224, 1719, 553, 586, 128, 37, 9, 0], [1, 3, 42, 185, 345, 1016, 1236, 1434, 1467, 763, 466, 173, 27, 10, 0], [1, 3, 42, 185, 346, 1006, 1281, 1314, 1677, 511, 676, 53, 72, 0, 1], [1, 3, 42, 186, 335, 1061, 1116, 1644, 1215, 973, 346, 218, 17, 11, 0], [1, 3, 42, 186, 336, 1051, 1161, 1524, 1425, 721, 556, 98, 62, 1, 1], [1, 3, 42, 187, 325, 1106, 996, 1854, 963, 1183, 226, 263, 7, 12, 0], [1, 3, 42, 187, 326, 1096, 1041, 1734, 1173, 931, 436, 143, 52, 2, 1], [1, 3, 42, 188, 316, 1141, 921, 1944, 921, 1141, 316, 188, 42, 3, 1], [1, 3, 42, 189, 306, 1186, 801, 2154, 669, 1351, 196, 233, 32, 4, 1], [1, 3, 42, 190, 296, 1231, 681, 2364, 417, 1561, 76, 278, 22, 5, 1], [1, 3, 43, 172, 420, 761, 1806, 552, 2433, 13, 871, 28, 58, 7, 0], [1, 3, 43, 173, 410, 806, 1686, 762, 2181, 223, 751, 73, 48, 8, 0], [1, 3, 43, 174, 400, 851, 1566, 972, 1929, 433, 631, 118, 38, 9, 0], [1, 3, 43, 175, 390, 896, 1446, 1182, 1677, 643, 511, 163, 28, 10, 0], [1, 3, 43, 175, 391, 886, 1491, 1062, 1887, 391, 721, 43, 73, 0, 1], [1, 3, 43, 176, 380, 941, 1326, 1392, 1425, 853, 391, 208, 18, 11, 0], [1, 3, 43, 176, 381, 931, 1371, 1272, 1635, 601, 601, 88, 63, 1, 1], [1, 3, 43, 177, 370, 986, 1206, 1602, 1173, 1063, 271, 253, 8, 12, 0], [1, 3, 43, 177, 371, 976, 1251, 1482, 1383, 811, 481, 133, 53, 2, 1], [1, 3, 43, 178, 361, 1021, 1131, 1692, 1131, 1021, 361, 178, 43, 3, 1], [1, 3, 43, 179, 351, 1066, 1011, 1902, 879, 1231, 241, 223, 33, 4, 1], [1, 3, 43, 180, 341, 1111, 891, 2112, 627, 1441, 121, 268, 23, 5, 1], [1, 3, 43, 181, 331, 1156, 771, 2322, 375, 1651, 1, 313, 13, 6, 1], [1, 3, 44, 163, 455, 686, 1896, 510, 2391, 103, 796, 63, 49, 8, 0], [1, 3, 44, 164, 445, 731, 1776, 720, 2139, 313, 676, 108, 39, 9, 0], [1, 3, 44, 165, 435, 776, 1656, 930, 1887, 523, 556, 153, 29, 10, 0], [1, 3, 44, 165, 436, 766, 1701, 810, 2097, 271, 766, 33, 74, 0, 1], [1, 3, 44, 166, 425, 821, 1536, 1140, 1635, 733, 436, 198, 19, 11, 0], [1, 3, 44, 166, 426, 811, 1581, 1020, 1845, 481, 646, 78, 64, 1, 1], [1, 3, 44, 167, 415, 866, 1416, 1350, 1383, 943, 316, 243, 9, 12, 0], [1, 3, 44, 167, 416, 856, 1461, 1230, 1593, 691, 526, 123, 54, 2, 1], [1, 3, 44, 168, 406, 901, 1341, 1440, 1341, 901, 406, 168, 44, 3, 1], [1, 3, 44, 169, 396, 946, 1221, 1650, 1089, 1111, 286, 213, 34, 4, 1], [1, 3, 44, 170, 386, 991, 1101, 1860, 837, 1321, 166, 258, 24, 5, 1], [1, 3, 44, 171, 376, 1036, 981, 2070, 585, 1531, 46, 303, 14, 6, 1], [1, 3, 45, 154, 490, 611, 1986, 468, 2349, 193, 721, 98, 40, 9, 0], [1, 3, 45, 155, 480, 656, 1866, 678, 2097, 403, 601, 143, 30, 10, 0], [1, 3, 45, 155, 481, 646, 1911, 558, 2307, 151, 811, 23, 75, 0, 1], [1, 3, 45, 156, 470, 701, 1746, 888, 1845, 613, 481, 188, 20, 11, 0], [1, 3, 45, 156, 471, 691, 1791, 768, 2055, 361, 691, 68, 65, 1, 1], [1, 3, 45, 157, 460, 746, 1626, 1098, 1593, 823, 361, 233, 10, 12, 0], [1, 3, 45, 157, 461, 736, 1671, 978, 1803, 571, 571, 113, 55, 2, 1], [1, 3, 45, 158, 450, 791, 1506, 1308, 1341, 1033, 241, 278, 0, 13, 0], [1, 3, 45, 158, 451, 781, 1551, 1188, 1551, 781, 451, 158, 45, 3, 1], [1, 3, 45, 159, 441, 826, 1431, 1398, 1299, 991, 331, 203, 35, 4, 1], [1, 3, 45, 160, 431, 871, 1311, 1608, 1047, 1201, 211, 248, 25, 5, 1], [1, 3, 45, 161, 421, 916, 1191, 1818, 795, 1411, 91, 293, 15, 6, 1], [1, 3, 46, 144, 535, 491, 2196, 216, 2559, 73, 766, 88, 41, 9, 0], [1, 3, 46, 145, 525, 536, 2076, 426, 2307, 283, 646, 133, 31, 10, 0], [1, 3, 46, 145, 526, 526, 2121, 306, 2517, 31, 856, 13, 76, 0, 1], [1, 3, 46, 146, 515, 581, 1956, 636, 2055, 493, 526, 178, 21, 11, 0], [1, 3, 46, 146, 516, 571, 2001, 516, 2265, 241, 736, 58, 66, 1, 1], [1, 3, 46, 147, 505, 626, 1836, 846, 1803, 703, 406, 223, 11, 12, 0], [1, 3, 46, 147, 506, 616, 1881, 726, 2013, 451, 616, 103, 56, 2, 1], [1, 3, 46, 148, 495, 671, 1716, 1056, 1551, 913, 286, 268, 1, 13, 0], [1, 3, 46, 148, 496, 661, 1761, 936, 1761, 661, 496, 148, 46, 3, 1], [1, 3, 46, 149, 486, 706, 1641, 1146, 1509, 871, 376, 193, 36, 4, 1], [1, 3, 46, 150, 476, 751, 1521, 1356, 1257, 1081, 256, 238, 26, 5, 1], [1, 3, 46, 151, 466, 796, 1401, 1566, 1005, 1291, 136, 283, 16, 6, 1], [1, 3, 46, 152, 456, 841, 1281, 1776, 753, 1501, 16, 328, 6, 7, 1], [1, 3, 47, 135, 570, 416, 2286, 174, 2517, 163, 691, 123, 32, 10, 0], [1, 3, 47, 136, 560, 461, 2166, 384, 2265, 373, 571, 168, 22, 11, 0], [1, 3, 47, 136, 561, 451, 2211, 264, 2475, 121, 781, 48, 67, 1, 1], [1, 3, 47, 137, 550, 506, 2046, 594, 2013, 583, 451, 213, 12, 12, 0], [1, 3, 47, 137, 551, 496, 2091, 474, 2223, 331, 661, 93, 57, 2, 1], [1, 3, 47, 138, 540, 551, 1926, 804, 1761, 793, 331, 258, 2, 13, 0], [1, 3, 47, 138, 541, 541, 1971, 684, 1971, 541, 541, 138, 47, 3, 1], [1, 3, 47, 139, 531, 586, 1851, 894, 1719, 751, 421, 183, 37, 4, 1], [1, 3, 47, 140, 521, 631, 1731, 1104, 1467, 961, 301, 228, 27, 5, 1], [1, 3, 47, 141, 511, 676, 1611, 1314, 1215, 1171, 181, 273, 17, 6, 1], [1, 3, 47, 142, 501, 721, 1491, 1524, 963, 1381, 61, 318, 7, 7, 1], [1, 3, 48, 126, 605, 341, 2376, 132, 2475, 253, 616, 158, 23, 11, 0], [1, 3, 48, 126, 606, 331, 2421, 12, 2685, 1, 826, 38, 68, 1, 1], [1, 3, 48, 127, 595, 386, 2256, 342, 2223, 463, 496, 203, 13, 12, 0], [1, 3, 48, 127, 596, 376, 2301, 222, 2433, 211, 706, 83, 58, 2, 1], [1, 3, 48, 128, 585, 431, 2136, 552, 1971, 673, 376, 248, 3, 13, 0], [1, 3, 48, 128, 586, 421, 2181, 432, 2181, 421, 586, 128, 48, 3, 1], [1, 3, 48, 129, 576, 466, 2061, 642, 1929, 631, 466, 173, 38, 4, 1], [1, 3, 48, 130, 566, 511, 1941, 852, 1677, 841, 346, 218, 28, 5, 1], [1, 3, 48, 131, 556, 556, 1821, 1062, 1425, 1051, 226, 263, 18, 6, 1], [1, 3, 48, 132, 546, 601, 1701, 1272, 1173, 1261, 106, 308, 8, 7, 1], [1, 3, 49, 117, 640, 266, 2466, 90, 2433, 343, 541, 193, 14, 12, 0], [1, 3, 49, 118, 630, 311, 2346, 300, 2181, 553, 421, 238, 4, 13, 0], [1, 3, 49, 118, 631, 301, 2391, 180, 2391, 301, 631, 118, 49, 3, 1], [1, 3, 49, 119, 621, 346, 2271, 390, 2139, 511, 511, 163, 39, 4, 1], [1, 3, 49, 120, 611, 391, 2151, 600, 1887, 721, 391, 208, 29, 5, 1], [1, 3, 49, 121, 601, 436, 2031, 810, 1635, 931, 271, 253, 19, 6, 1], [1, 3, 49, 122, 591, 481, 1911, 1020, 1383, 1141, 151, 298, 9, 7, 1], [1, 3, 49, 125, 562, 606, 1596, 1530, 837, 1519, 1, 313, 24, 0, 2], [1, 3, 50, 108, 675, 191, 2556, 48, 2391, 433, 466, 228, 5, 13, 0], [1, 3, 50, 109, 666, 226, 2481, 138, 2349, 391, 556, 153, 40, 4, 1], [1, 3, 50, 110, 656, 271, 2361, 348, 2097, 601, 436, 198, 30, 5, 1], [1, 3, 50, 111, 646, 316, 2241, 558, 1845, 811, 316, 243, 20, 6, 1], [1, 3, 50, 112, 636, 361, 2121, 768, 1593, 1021, 196, 288, 10, 7, 1], [1, 3, 50, 113, 626, 406, 2001, 978, 1341, 1231, 76, 333, 0, 8, 1], [1, 3, 50, 115, 607, 486, 1806, 1278, 1047, 1399, 46, 303, 25, 0, 2], [1, 3, 51, 100, 701, 151, 2571, 96, 2307, 481, 481, 188, 31, 5, 1], [1, 3, 51, 101, 691, 196, 2451, 306, 2055, 691, 361, 233, 21, 6, 1], [1, 3, 51, 102, 681, 241, 2331, 516, 1803, 901, 241, 278, 11, 7, 1], [1, 3, 51, 103, 671, 286, 2211, 726, 1551, 1111, 121, 323, 1, 8, 1], [1, 3, 51, 105, 652, 366, 2016, 1026, 1257, 1279, 91, 293, 26, 0, 2], [1, 3, 52, 91, 736, 76, 2661, 54, 2265, 571, 406, 223, 22, 6, 1], [1, 3, 52, 92, 726, 121, 2541, 264, 2013, 781, 286, 268, 12, 7, 1], [1, 3, 52, 93, 716, 166, 2421, 474, 1761, 991, 166, 313, 2, 8, 1], [1, 3, 52, 95, 697, 246, 2226, 774, 1467, 1159, 136, 283, 27, 0, 2], [1, 3, 52, 96, 687, 291, 2106, 984, 1215, 1369, 16, 328, 17, 1, 2], [1, 3, 53, 82, 771, 1, 2751, 12, 2223, 661, 331, 258, 13, 7, 1], [1, 3, 53, 83, 761, 46, 2631, 222, 1971, 871, 211, 303, 3, 8, 1], [1, 3, 53, 85, 742, 126, 2436, 522, 1677, 1039, 181, 273, 28, 0, 2], [1, 3, 53, 86, 732, 171, 2316, 732, 1425, 1249, 61, 318, 18, 1, 2], [1, 3, 54, 75, 787, 6, 2646, 270, 1887, 919, 226, 263, 29, 0, 2], [1, 3, 54, 76, 777, 51, 2526, 480, 1635, 1129, 106, 308, 19, 1, 2], [1, 4, 26, 285, 5, 1721, 324, 2106, 1347, 478, 786, 9, 71, 5, 0], [1, 4, 27, 276, 40, 1646, 414, 2064, 1305, 568, 711, 44, 62, 6, 0], [1, 4, 27, 277, 30, 1691, 294, 2274, 1053, 778, 591, 89, 52, 7, 0], [1, 4, 27, 278, 20, 1736, 174, 2484, 801, 988, 471, 134, 42, 8, 0], [1, 4, 27, 279, 10, 1781, 54, 2694, 549, 1198, 351, 179, 32, 9, 0], [1, 4, 28, 266, 85, 1526, 624, 1812, 1515, 448, 756, 34, 63, 6, 0], [1, 4, 28, 267, 75, 1571, 504, 2022, 1263, 658, 636, 79, 53, 7, 0], [1, 4, 28, 268, 65, 1616, 384, 2232, 1011, 868, 516, 124, 43, 8, 0], [1, 4, 28, 269, 55, 1661, 264, 2442, 759, 1078, 396, 169, 33, 9, 0], [1, 4, 28, 270, 45, 1706, 144, 2652, 507, 1288, 276, 214, 23, 10, 0], [1, 4, 28, 270, 46, 1696, 189, 2532, 717, 1036, 486, 94, 68, 0, 1], [1, 4, 28, 271, 35, 1751, 24, 2862, 255, 1498, 156, 259, 13, 11, 0], [1, 4, 28, 271, 36, 1741, 69, 2742, 465, 1246, 366, 139, 58, 1, 1], [1, 4, 29, 256, 130, 1406, 834, 1560, 1725, 328, 801, 24, 64, 6, 0], [1, 4, 29, 257, 120, 1451, 714, 1770, 1473, 538, 681, 69, 54, 7, 0], [1, 4, 29, 258, 110, 1496, 594, 1980, 1221, 748, 561, 114, 44, 8, 0], [1, 4, 29, 259, 100, 1541, 474, 2190, 969, 958, 441, 159, 34, 9, 0], [1, 4, 29, 260, 90, 1586, 354, 2400, 717, 1168, 321, 204, 24, 10, 0], [1, 4, 29, 260, 91, 1576, 399, 2280, 927, 916, 531, 84, 69, 0, 1], [1, 4, 29, 261, 80, 1631, 234, 2610, 465, 1378, 201, 249, 14, 11, 0], [1, 4, 29, 261, 81, 1621, 279, 2490, 675, 1126, 411, 129, 59, 1, 1], [1, 4, 29, 262, 70, 1676, 114, 2820, 213, 1588, 81, 294, 4, 12, 0], [1, 4, 29, 262, 71, 1666, 159, 2700, 423, 1336, 291, 174, 49, 2, 1], [1, 4, 29, 263, 61, 1711, 39, 2910, 171, 1546, 171, 219, 39, 3, 1], [1, 4, 30, 246, 175, 1286, 1044, 1308, 1935, 208, 846, 14, 65, 6, 0], [1, 4, 30, 247, 165, 1331, 924, 1518, 1683, 418, 726, 59, 55, 7, 0], [1, 4, 30, 248, 155, 1376, 804, 1728, 1431, 628, 606, 104, 45, 8, 0], [1, 4, 30, 249, 145, 1421, 684, 1938, 1179, 838, 486, 149, 35, 9, 0], [1, 4, 30, 250, 135, 1466, 564, 2148, 927, 1048, 366, 194, 25, 10, 0], [1, 4, 30, 250, 136, 1456, 609, 2028, 1137, 796, 576, 74, 70, 0, 1], [1, 4, 30, 251, 125, 1511, 444, 2358, 675, 1258, 246, 239, 15, 11, 0], [1, 4, 30, 251, 126, 1501, 489, 2238, 885, 1006, 456, 119, 60, 1, 1], [1, 4, 30, 252, 115, 1556, 324, 2568, 423, 1468, 126, 284, 5, 12, 0], [1, 4, 30, 252, 116, 1546, 369, 2448, 633, 1216, 336, 164, 50, 2, 1], [1, 4, 30, 253, 106, 1591, 249, 2658, 381, 1426, 216, 209, 40, 3, 1], [1, 4, 30, 254, 96, 1636, 129, 2868, 129, 1636, 96, 254, 30, 4, 1], [1, 4, 31, 236, 220, 1166, 1254, 1056, 2145, 88, 891, 4, 66, 6, 0], [1, 4, 31, 237, 210, 1211, 1134, 1266, 1893, 298, 771, 49, 56, 7, 0], [1, 4, 31, 238, 200, 1256, 1014, 1476, 1641, 508, 651, 94, 46, 8, 0], [1, 4, 31, 239, 190, 1301, 894, 1686, 1389, 718, 531, 139, 36, 9, 0], [1, 4, 31, 240, 180, 1346, 774, 1896, 1137, 928, 411, 184, 26, 10, 0], [1, 4, 31, 240, 181, 1336, 819, 1776, 1347, 676, 621, 64, 71, 0, 1], [1, 4, 31, 241, 170, 1391, 654, 2106, 885, 1138, 291, 229, 16, 11, 0], [1, 4, 31, 241, 171, 1381, 699, 1986, 1095, 886, 501, 109, 61, 1, 1], [1, 4, 31, 242, 160, 1436, 534, 2316, 633, 1348, 171, 274, 6, 12, 0], [1, 4, 31, 242, 161, 1426, 579, 2196, 843, 1096, 381, 154, 51, 2, 1], [1, 4, 31, 243, 151, 1471, 459, 2406, 591, 1306, 261, 199, 41, 3, 1], [1, 4, 31, 244, 141, 1516, 339, 2616, 339, 1516, 141, 244, 31, 4, 1], [1, 4, 31, 245, 131, 1561, 219, 2826, 87, 1726, 21, 289, 21, 5, 1], [1, 4, 32, 227, 255, 1091, 1344, 1014, 2103, 178, 816, 39, 57, 7, 0], [1, 4, 32, 228, 245, 1136, 1224, 1224, 1851, 388, 696, 84, 47, 8, 0], [1, 4, 32, 229, 235, 1181, 1104, 1434, 1599, 598, 576, 129, 37, 9, 0], [1, 4, 32, 230, 225, 1226, 984, 1644, 1347, 808, 456, 174, 27, 10, 0], [1, 4, 32, 230, 226, 1216, 1029, 1524, 1557, 556, 666, 54, 72, 0, 1], [1, 4, 32, 231, 215, 1271, 864, 1854, 1095, 1018, 336, 219, 17, 11, 0], [1, 4, 32, 231, 216, 1261, 909, 1734, 1305, 766, 546, 99, 62, 1, 1], [1, 4, 32, 232, 205, 1316, 744, 2064, 843, 1228, 216, 264, 7, 12, 0], [1, 4, 32, 232, 206, 1306, 789, 1944, 1053, 976, 426, 144, 52, 2, 1], [1, 4, 32, 233, 196, 1351, 669, 2154, 801, 1186, 306, 189, 42, 3, 1], [1, 4, 32, 234, 186, 1396, 549, 2364, 549, 1396, 186, 234, 32, 4, 1], [1, 4, 32, 235, 176, 1441, 429, 2574, 297, 1606, 66, 279, 22, 5, 1], [1, 4, 33, 217, 300, 971, 1554, 762, 2313, 58, 861, 29, 58, 7, 0], [1, 4, 33, 218, 290, 1016, 1434, 972, 2061, 268, 741, 74, 48, 8, 0], [1, 4, 33, 219, 280, 1061, 1314, 1182, 1809, 478, 621, 119, 38, 9, 0], [1, 4, 33, 220, 270, 1106, 1194, 1392, 1557, 688, 501, 164, 28, 10, 0], [1, 4, 33, 220, 271, 1096, 1239, 1272, 1767, 436, 711, 44, 73, 0, 1], [1, 4, 33, 221, 260, 1151, 1074, 1602, 1305, 898, 381, 209, 18, 11, 0], [1, 4, 33, 221, 261, 1141, 1119, 1482, 1515, 646, 591, 89, 63, 1, 1], [1, 4, 33, 222, 250, 1196, 954, 1812, 1053, 1108, 261, 254, 8, 12, 0], [1, 4, 33, 222, 251, 1186, 999, 1692, 1263, 856, 471, 134, 53, 2, 1], [1, 4, 33, 223, 241, 1231, 879, 1902, 1011, 1066, 351, 179, 43, 3, 1], [1, 4, 33, 224, 231, 1276, 759, 2112, 759, 1276, 231, 224, 33, 4, 1], [1, 4, 33, 225, 221, 1321, 639, 2322, 507, 1486, 111, 269, 23, 5, 1], [1, 4, 34, 208, 335, 896, 1644, 720, 2271, 148, 786, 64, 49, 8, 0], [1, 4, 34, 209, 325, 941, 1524, 930, 2019, 358, 666, 109, 39, 9, 0], [1, 4, 34, 210, 315, 986, 1404, 1140, 1767, 568, 546, 154, 29, 10, 0], [1, 4, 34, 210, 316, 976, 1449, 1020, 1977, 316, 756, 34, 74, 0, 1], [1, 4, 34, 211, 305, 1031, 1284, 1350, 1515, 778, 426, 199, 19, 11, 0], [1, 4, 34, 211, 306, 1021, 1329, 1230, 1725, 526, 636, 79, 64, 1, 1], [1, 4, 34, 212, 295, 1076, 1164, 1560, 1263, 988, 306, 244, 9, 12, 0], [1, 4, 34, 212, 296, 1066, 1209, 1440, 1473, 736, 516, 124, 54, 2, 1], [1, 4, 34, 213, 286, 1111, 1089, 1650, 1221, 946, 396, 169, 44, 3, 1], [1, 4, 34, 214, 276, 1156, 969, 1860, 969, 1156, 276, 214, 34, 4, 1], [1, 4, 34, 215, 266, 1201, 849, 2070, 717, 1366, 156, 259, 24, 5, 1], [1, 4, 34, 216, 256, 1246, 729, 2280, 465, 1576, 36, 304, 14, 6, 1], [1, 4, 35, 198, 380, 776, 1854, 468, 2481, 28, 831, 54, 50, 8, 0], [1, 4, 35, 199, 370, 821, 1734, 678, 2229, 238, 711, 99, 40, 9, 0], [1, 4, 35, 200, 360, 866, 1614, 888, 1977, 448, 591, 144, 30, 10, 0], [1, 4, 35, 200, 361, 856, 1659, 768, 2187, 196, 801, 24, 75, 0, 1], [1, 4, 35, 201, 350, 911, 1494, 1098, 1725, 658, 471, 189, 20, 11, 0], [1, 4, 35, 201, 351, 901, 1539, 978, 1935, 406, 681, 69, 65, 1, 1], [1, 4, 35, 202, 340, 956, 1374, 1308, 1473, 868, 351, 234, 10, 12, 0], [1, 4, 35, 202, 341, 946, 1419, 1188, 1683, 616, 561, 114, 55, 2, 1], [1, 4, 35, 203, 330, 1001, 1254, 1518, 1221, 1078, 231, 279, 0, 13, 0], [1, 4, 35, 203, 331, 991, 1299, 1398, 1431, 826, 441, 159, 45, 3, 1], [1, 4, 35, 204, 321, 1036, 1179, 1608, 1179, 1036, 321, 204, 35, 4, 1], [1, 4, 35, 205, 311, 1081, 1059, 1818, 927, 1246, 201, 249, 25, 5, 1], [1, 4, 35, 206, 301, 1126, 939, 2028, 675, 1456, 81, 294, 15, 6, 1], [1, 4, 36, 189, 415, 701, 1944, 426, 2439, 118, 756, 89, 41, 9, 0], [1, 4, 36, 190, 405, 746, 1824, 636, 2187, 328, 636, 134, 31, 10, 0], [1, 4, 36, 190, 406, 736, 1869, 516, 2397, 76, 846, 14, 76, 0, 1], [1, 4, 36, 191, 395, 791, 1704, 846, 1935, 538, 516, 179, 21, 11, 0], [1, 4, 36, 191, 396, 781, 1749, 726, 2145, 286, 726, 59, 66, 1, 1], [1, 4, 36, 192, 385, 836, 1584, 1056, 1683, 748, 396, 224, 11, 12, 0], [1, 4, 36, 192, 386, 826, 1629, 936, 1893, 496, 606, 104, 56, 2, 1], [1, 4, 36, 193, 375, 881, 1464, 1266, 1431, 958, 276, 269, 1, 13, 0], [1, 4, 36, 193, 376, 871, 1509, 1146, 1641, 706, 486, 149, 46, 3, 1], [1, 4, 36, 194, 366, 916, 1389, 1356, 1389, 916, 366, 194, 36, 4, 1], [1, 4, 36, 195, 356, 961, 1269, 1566, 1137, 1126, 246, 239, 26, 5, 1], [1, 4, 36, 196, 346, 1006, 1149, 1776, 885, 1336, 126, 284, 16, 6, 1], [1, 4, 36, 197, 336, 1051, 1029, 1986, 633, 1546, 6, 329, 6, 7, 1], [1, 4, 37, 180, 450, 626, 2034, 384, 2397, 208, 681, 124, 32, 10, 0], [1, 4, 37, 181, 440, 671, 1914, 594, 2145, 418, 561, 169, 22, 11, 0], [1, 4, 37, 181, 441, 661, 1959, 474, 2355, 166, 771, 49, 67, 1, 1], [1, 4, 37, 182, 430, 716, 1794, 804, 1893, 628, 441, 214, 12, 12, 0], [1, 4, 37, 182, 431, 706, 1839, 684, 2103, 376, 651, 94, 57, 2, 1], [1, 4, 37, 183, 420, 761, 1674, 1014, 1641, 838, 321, 259, 2, 13, 0], [1, 4, 37, 183, 421, 751, 1719, 894, 1851, 586, 531, 139, 47, 3, 1], [1, 4, 37, 184, 411, 796, 1599, 1104, 1599, 796, 411, 184, 37, 4, 1], [1, 4, 37, 185, 401, 841, 1479, 1314, 1347, 1006, 291, 229, 27, 5, 1], [1, 4, 37, 186, 391, 886, 1359, 1524, 1095, 1216, 171, 274, 17, 6, 1], [1, 4, 37, 187, 381, 931, 1239, 1734, 843, 1426, 51, 319, 7, 7, 1], [1, 4, 38, 170, 495, 506, 2244, 132, 2607, 88, 726, 114, 33, 10, 0], [1, 4, 38, 171, 485, 551, 2124, 342, 2355, 298, 606, 159, 23, 11, 0], [1, 4, 38, 171, 486, 541, 2169, 222, 2565, 46, 816, 39, 68, 1, 1], [1, 4, 38, 172, 475, 596, 2004, 552, 2103, 508, 486, 204, 13, 12, 0], [1, 4, 38, 172, 476, 586, 2049, 432, 2313, 256, 696, 84, 58, 2, 1], [1, 4, 38, 173, 465, 641, 1884, 762, 1851, 718, 366, 249, 3, 13, 0], [1, 4, 38, 173, 466, 631, 1929, 642, 2061, 466, 576, 129, 48, 3, 1], [1, 4, 38, 174, 456, 676, 1809, 852, 1809, 676, 456, 174, 38, 4, 1], [1, 4, 38, 175, 446, 721, 1689, 1062, 1557, 886, 336, 219, 28, 5, 1], [1, 4, 38, 176, 436, 766, 1569, 1272, 1305, 1096, 216, 264, 18, 6, 1], [1, 4, 38, 177, 426, 811, 1449, 1482, 1053, 1306, 96, 309, 8, 7, 1], [1, 4, 39, 161, 530, 431, 2334, 90, 2565, 178, 651, 149, 24, 11, 0], [1, 4, 39, 162, 520, 476, 2214, 300, 2313, 388, 531, 194, 14, 12, 0], [1, 4, 39, 162, 521, 466, 2259, 180, 2523, 136, 741, 74, 59, 2, 1], [1, 4, 39, 163, 510, 521, 2094, 510, 2061, 598, 411, 239, 4, 13, 0], [1, 4, 39, 163, 511, 511, 2139, 390, 2271, 346, 621, 119, 49, 3, 1], [1, 4, 39, 164, 501, 556, 2019, 600, 2019, 556, 501, 164, 39, 4, 1], [1, 4, 39, 165, 491, 601, 1899, 810, 1767, 766, 381, 209, 29, 5, 1], [1, 4, 39, 166, 481, 646, 1779, 1020, 1515, 976, 261, 254, 19, 6, 1], [1, 4, 39, 167, 471, 691, 1659, 1230, 1263, 1186, 141, 299, 9, 7, 1], [1, 4, 40, 152, 565, 356, 2424, 48, 2523, 268, 576, 184, 15, 12, 0], [1, 4, 40, 153, 555, 401, 2304, 258, 2271, 478, 456, 229, 5, 13, 0], [1, 4, 40, 153, 556, 391, 2349, 138, 2481, 226, 666, 109, 50, 3, 1], [1, 4, 40, 154, 546, 436, 2229, 348, 2229, 436, 546, 154, 40, 4, 1], [1, 4, 40, 155, 536, 481, 2109, 558, 1977, 646, 426, 199, 30, 5, 1], [1, 4, 40, 156, 526, 526, 1989, 768, 1725, 856, 306, 244, 20, 6, 1], [1, 4, 40, 157, 516, 571, 1869, 978, 1473, 1066, 186, 289, 10, 7, 1], [1, 4, 40, 158, 506, 616, 1749, 1188, 1221, 1276, 66, 334, 0, 8, 1], [1, 4, 40, 160, 487, 696, 1554, 1488, 927, 1444, 36, 304, 25, 0, 2], [1, 4, 41, 143, 600, 281, 2514, 6, 2481, 358, 501, 219, 6, 13, 0], [1, 4, 41, 144, 591, 316, 2439, 96, 2439, 316, 591, 144, 41, 4, 1], [1, 4, 41, 145, 581, 361, 2319, 306, 2187, 526, 471, 189, 31, 5, 1], [1, 4, 41, 146, 571, 406, 2199, 516, 1935, 736, 351, 234, 21, 6, 1], [1, 4, 41, 147, 561, 451, 2079, 726, 1683, 946, 231, 279, 11, 7, 1], [1, 4, 41, 148, 551, 496, 1959, 936, 1431, 1156, 111, 324, 1, 8, 1], [1, 4, 41, 150, 532, 576, 1764, 1236, 1137, 1324, 81, 294, 26, 0, 2], [1, 4, 42, 135, 626, 241, 2529, 54, 2397, 406, 516, 179, 32, 5, 1], [1, 4, 42, 136, 616, 286, 2409, 264, 2145, 616, 396, 224, 22, 6, 1], [1, 4, 42, 137, 606, 331, 2289, 474, 1893, 826, 276, 269, 12, 7, 1], [1, 4, 42, 138, 596, 376, 2169, 684, 1641, 1036, 156, 314, 2, 8, 1], [1, 4, 42, 140, 577, 456, 1974, 984, 1347, 1204, 126, 284, 27, 0, 2], [1, 4, 42, 141, 567, 501, 1854, 1194, 1095, 1414, 6, 329, 17, 1, 2], [1, 4, 43, 126, 661, 166, 2619, 12, 2355, 496, 441, 214, 23, 6, 1], [1, 4, 43, 127, 651, 211, 2499, 222, 2103, 706, 321, 259, 13, 7, 1], [1, 4, 43, 128, 641, 256, 2379, 432, 1851, 916, 201, 304, 3, 8, 1], [1, 4, 43, 130, 622, 336, 2184, 732, 1557, 1084, 171, 274, 28, 0, 2], [1, 4, 43, 131, 612, 381, 2064, 942, 1305, 1294, 51, 319, 18, 1, 2], [1, 4, 44, 118, 686, 136, 2589, 180, 2061, 796, 246, 294, 4, 8, 1], [1, 4, 44, 120, 667, 216, 2394, 480, 1767, 964, 216, 264, 29, 0, 2], [1, 4, 44, 121, 657, 261, 2274, 690, 1515, 1174, 96, 309, 19, 1, 2], [1, 4, 45, 110, 712, 96, 2604, 228, 1977, 844, 261, 254, 30, 0, 2], [1, 4, 45, 111, 702, 141, 2484, 438, 1725, 1054, 141, 299, 20, 1, 2], [1, 4, 45, 112, 692, 186, 2364, 648, 1473, 1264, 21, 344, 10, 2, 2], [1, 4, 46, 101, 747, 21, 2694, 186, 1935, 934, 186, 289, 21, 1, 2], [1, 4, 46, 102, 737, 66, 2574, 396, 1683, 1144, 66, 334, 11, 2, 2], [1, 5, 19, 301, 10, 1616, 582, 1770, 1605, 373, 791, 25, 64, 6, 0], [1, 5, 19, 302, 0, 1661, 462, 1980, 1353, 583, 671, 70, 54, 7, 0], [1, 5, 20, 291, 55, 1496, 792, 1518, 1815, 253, 836, 15, 65, 6, 0], [1, 5, 20, 292, 45, 1541, 672, 1728, 1563, 463, 716, 60, 55, 7, 0], [1, 5, 20, 293, 35, 1586, 552, 1938, 1311, 673, 596, 105, 45, 8, 0], [1, 5, 20, 294, 25, 1631, 432, 2148, 1059, 883, 476, 150, 35, 9, 0], [1, 5, 20, 295, 15, 1676, 312, 2358, 807, 1093, 356, 195, 25, 10, 0], [1, 5, 20, 295, 16, 1666, 357, 2238, 1017, 841, 566, 75, 70, 0, 1], [1, 5, 20, 296, 5, 1721, 192, 2568, 555, 1303, 236, 240, 15, 11, 0], [1, 5, 20, 296, 6, 1711, 237, 2448, 765, 1051, 446, 120, 60, 1, 1], [1, 5, 21, 281, 100, 1376, 1002, 1266, 2025, 133, 881, 5, 66, 6, 0], [1, 5, 21, 282, 90, 1421, 882, 1476, 1773, 343, 761, 50, 56, 7, 0], [1, 5, 21, 283, 80, 1466, 762, 1686, 1521, 553, 641, 95, 46, 8, 0], [1, 5, 21, 284, 70, 1511, 642, 1896, 1269, 763, 521, 140, 36, 9, 0], [1, 5, 21, 285, 60, 1556, 522, 2106, 1017, 973, 401, 185, 26, 10, 0], [1, 5, 21, 285, 61, 1546, 567, 1986, 1227, 721, 611, 65, 71, 0, 1], [1, 5, 21, 286, 50, 1601, 402, 2316, 765, 1183, 281, 230, 16, 11, 0], [1, 5, 21, 286, 51, 1591, 447, 2196, 975, 931, 491, 110, 61, 1, 1], [1, 5, 21, 287, 40, 1646, 282, 2526, 513, 1393, 161, 275, 6, 12, 0], [1, 5, 21, 287, 41, 1636, 327, 2406, 723, 1141, 371, 155, 51, 2, 1], [1, 5, 21, 288, 31, 1681, 207, 2616, 471, 1351, 251, 200, 41, 3, 1], [1, 5, 21, 289, 21, 1726, 87, 2826, 219, 1561, 131, 245, 31, 4, 1], [1, 5, 22, 272, 135, 1301, 1092, 1224, 1983, 223, 806, 40, 57, 7, 0], [1, 5, 22, 273, 125, 1346, 972, 1434, 1731, 433, 686, 85, 47, 8, 0], [1, 5, 22, 274, 115, 1391, 852, 1644, 1479, 643, 566, 130, 37, 9, 0], [1, 5, 22, 275, 105, 1436, 732, 1854, 1227, 853, 446, 175, 27, 10, 0], [1, 5, 22, 275, 106, 1426, 777, 1734, 1437, 601, 656, 55, 72, 0, 1], [1, 5, 22, 276, 95, 1481, 612, 2064, 975, 1063, 326, 220, 17, 11, 0], [1, 5, 22, 276, 96, 1471, 657, 1944, 1185, 811, 536, 100, 62, 1, 1], [1, 5, 22, 277, 85, 1526, 492, 2274, 723, 1273, 206, 265, 7, 12, 0], [1, 5, 22, 277, 86, 1516, 537, 2154, 933, 1021, 416, 145, 52, 2, 1], [1, 5, 22, 278, 76, 1561, 417, 2364, 681, 1231, 296, 190, 42, 3, 1], [1, 5, 22, 279, 66, 1606, 297, 2574, 429, 1441, 176, 235, 32, 4, 1], [1, 5, 22, 280, 56, 1651, 177, 2784, 177, 1651, 56, 280, 22, 5, 1], [1, 5, 23, 262, 180, 1181, 1302, 972, 2193, 103, 851, 30, 58, 7, 0], [1, 5, 23, 263, 170, 1226, 1182, 1182, 1941, 313, 731, 75, 48, 8, 0], [1, 5, 23, 264, 160, 1271, 1062, 1392, 1689, 523, 611, 120, 38, 9, 0], [1, 5, 23, 265, 150, 1316, 942, 1602, 1437, 733, 491, 165, 28, 10, 0], [1, 5, 23, 265, 151, 1306, 987, 1482, 1647, 481, 701, 45, 73, 0, 1], [1, 5, 23, 266, 140, 1361, 822, 1812, 1185, 943, 371, 210, 18, 11, 0], [1, 5, 23, 266, 141, 1351, 867, 1692, 1395, 691, 581, 90, 63, 1, 1], [1, 5, 23, 267, 130, 1406, 702, 2022, 933, 1153, 251, 255, 8, 12, 0], [1, 5, 23, 267, 131, 1396, 747, 1902, 1143, 901, 461, 135, 53, 2, 1], [1, 5, 23, 268, 121, 1441, 627, 2112, 891, 1111, 341, 180, 43, 3, 1], [1, 5, 23, 269, 111, 1486, 507, 2322, 639, 1321, 221, 225, 33, 4, 1], [1, 5, 23, 270, 101, 1531, 387, 2532, 387, 1531, 101, 270, 23, 5, 1], [1, 5, 24, 253, 215, 1106, 1392, 930, 2151, 193, 776, 65, 49, 8, 0], [1, 5, 24, 254, 205, 1151, 1272, 1140, 1899, 403, 656, 110, 39, 9, 0], [1, 5, 24, 255, 195, 1196, 1152, 1350, 1647, 613, 536, 155, 29, 10, 0], [1, 5, 24, 255, 196, 1186, 1197, 1230, 1857, 361, 746, 35, 74, 0, 1], [1, 5, 24, 256, 185, 1241, 1032, 1560, 1395, 823, 416, 200, 19, 11, 0], [1, 5, 24, 256, 186, 1231, 1077, 1440, 1605, 571, 626, 80, 64, 1, 1], [1, 5, 24, 257, 175, 1286, 912, 1770, 1143, 1033, 296, 245, 9, 12, 0], [1, 5, 24, 257, 176, 1276, 957, 1650, 1353, 781, 506, 125, 54, 2, 1], [1, 5, 24, 258, 166, 1321, 837, 1860, 1101, 991, 386, 170, 44, 3, 1], [1, 5, 24, 259, 156, 1366, 717, 2070, 849, 1201, 266, 215, 34, 4, 1], [1, 5, 24, 260, 146, 1411, 597, 2280, 597, 1411, 146, 260, 24, 5, 1], [1, 5, 24, 261, 136, 1456, 477, 2490, 345, 1621, 26, 305, 14, 6, 1], [1, 5, 25, 243, 260, 986, 1602, 678, 2361, 73, 821, 55, 50, 8, 0], [1, 5, 25, 244, 250, 1031, 1482, 888, 2109, 283, 701, 100, 40, 9, 0], [1, 5, 25, 245, 240, 1076, 1362, 1098, 1857, 493, 581, 145, 30, 10, 0], [1, 5, 25, 245, 241, 1066, 1407, 978, 2067, 241, 791, 25, 75, 0, 1], [1, 5, 25, 246, 230, 1121, 1242, 1308, 1605, 703, 461, 190, 20, 11, 0], [1, 5, 25, 246, 231, 1111, 1287, 1188, 1815, 451, 671, 70, 65, 1, 1], [1, 5, 25, 247, 220, 1166, 1122, 1518, 1353, 913, 341, 235, 10, 12, 0], [1, 5, 25, 247, 221, 1156, 1167, 1398, 1563, 661, 551, 115, 55, 2, 1], [1, 5, 25, 248, 210, 1211, 1002, 1728, 1101, 1123, 221, 280, 0, 13, 0], [1, 5, 25, 248, 211, 1201, 1047, 1608, 1311, 871, 431, 160, 45, 3, 1], [1, 5, 25, 249, 201, 1246, 927, 1818, 1059, 1081, 311, 205, 35, 4, 1], [1, 5, 25, 250, 191, 1291, 807, 2028, 807, 1291, 191, 250, 25, 5, 1], [1, 5, 25, 251, 181, 1336, 687, 2238, 555, 1501, 71, 295, 15, 6, 1], [1, 5, 26, 234, 295, 911, 1692, 636, 2319, 163, 746, 90, 41, 9, 0], [1, 5, 26, 235, 285, 956, 1572, 846, 2067, 373, 626, 135, 31, 10, 0], [1, 5, 26, 235, 286, 946, 1617, 726, 2277, 121, 836, 15, 76, 0, 1], [1, 5, 26, 236, 275, 1001, 1452, 1056, 1815, 583, 506, 180, 21, 11, 0], [1, 5, 26, 236, 276, 991, 1497, 936, 2025, 331, 716, 60, 66, 1, 1], [1, 5, 26, 237, 265, 1046, 1332, 1266, 1563, 793, 386, 225, 11, 12, 0], [1, 5, 26, 237, 266, 1036, 1377, 1146, 1773, 541, 596, 105, 56, 2, 1], [1, 5, 26, 238, 255, 1091, 1212, 1476, 1311, 1003, 266, 270, 1, 13, 0], [1, 5, 26, 238, 256, 1081, 1257, 1356, 1521, 751, 476, 150, 46, 3, 1], [1, 5, 26, 239, 246, 1126, 1137, 1566, 1269, 961, 356, 195, 36, 4, 1], [1, 5, 26, 240, 236, 1171, 1017, 1776, 1017, 1171, 236, 240, 26, 5, 1], [1, 5, 26, 241, 226, 1216, 897, 1986, 765, 1381, 116, 285, 16, 6, 1], [1, 5, 27, 224, 340, 791, 1902, 384, 2529, 43, 791, 80, 42, 9, 0], [1, 5, 27, 225, 330, 836, 1782, 594, 2277, 253, 671, 125, 32, 10, 0], [1, 5, 27, 225, 331, 826, 1827, 474, 2487, 1, 881, 5, 77, 0, 1], [1, 5, 27, 226, 320, 881, 1662, 804, 2025, 463, 551, 170, 22, 11, 0], [1, 5, 27, 226, 321, 871, 1707, 684, 2235, 211, 761, 50, 67, 1, 1], [1, 5, 27, 227, 310, 926, 1542, 1014, 1773, 673, 431, 215, 12, 12, 0], [1, 5, 27, 227, 311, 916, 1587, 894, 1983, 421, 641, 95, 57, 2, 1], [1, 5, 27, 228, 300, 971, 1422, 1224, 1521, 883, 311, 260, 2, 13, 0], [1, 5, 27, 228, 301, 961, 1467, 1104, 1731, 631, 521, 140, 47, 3, 1], [1, 5, 27, 229, 291, 1006, 1347, 1314, 1479, 841, 401, 185, 37, 4, 1], [1, 5, 27, 230, 281, 1051, 1227, 1524, 1227, 1051, 281, 230, 27, 5, 1], [1, 5, 27, 231, 271, 1096, 1107, 1734, 975, 1261, 161, 275, 17, 6, 1], [1, 5, 27, 232, 261, 1141, 987, 1944, 723, 1471, 41, 320, 7, 7, 1], [1, 5, 28, 215, 375, 716, 1992, 342, 2487, 133, 716, 115, 33, 10, 0], [1, 5, 28, 216, 365, 761, 1872, 552, 2235, 343, 596, 160, 23, 11, 0], [1, 5, 28, 216, 366, 751, 1917, 432, 2445, 91, 806, 40, 68, 1, 1], [1, 5, 28, 217, 355, 806, 1752, 762, 1983, 553, 476, 205, 13, 12, 0], [1, 5, 28, 217, 356, 796, 1797, 642, 2193, 301, 686, 85, 58, 2, 1], [1, 5, 28, 218, 345, 851, 1632, 972, 1731, 763, 356, 250, 3, 13, 0], [1, 5, 28, 218, 346, 841, 1677, 852, 1941, 511, 566, 130, 48, 3, 1], [1, 5, 28, 219, 336, 886, 1557, 1062, 1689, 721, 446, 175, 38, 4, 1], [1, 5, 28, 220, 326, 931, 1437, 1272, 1437, 931, 326, 220, 28, 5, 1], [1, 5, 28, 221, 316, 976, 1317, 1482, 1185, 1141, 206, 265, 18, 6, 1], [1, 5, 28, 222, 306, 1021, 1197, 1692, 933, 1351, 86, 310, 8, 7, 1], [1, 5, 29, 205, 420, 596, 2202, 90, 2697, 13, 761, 105, 34, 10, 0], [1, 5, 29, 206, 410, 641, 2082, 300, 2445, 223, 641, 150, 24, 11, 0], [1, 5, 29, 207, 400, 686, 1962, 510, 2193, 433, 521, 195, 14, 12, 0], [1, 5, 29, 207, 401, 676, 2007, 390, 2403, 181, 731, 75, 59, 2, 1], [1, 5, 29, 208, 390, 731, 1842, 720, 1941, 643, 401, 240, 4, 13, 0], [1, 5, 29, 208, 391, 721, 1887, 600, 2151, 391, 611, 120, 49, 3, 1], [1, 5, 29, 209, 381, 766, 1767, 810, 1899, 601, 491, 165, 39, 4, 1], [1, 5, 29, 210, 371, 811, 1647, 1020, 1647, 811, 371, 210, 29, 5, 1], [1, 5, 29, 211, 361, 856, 1527, 1230, 1395, 1021, 251, 255, 19, 6, 1], [1, 5, 29, 212, 351, 901, 1407, 1440, 1143, 1231, 131, 300, 9, 7, 1], [1, 5, 30, 196, 455, 521, 2292, 48, 2655, 103, 686, 140, 25, 11, 0], [1, 5, 30, 197, 445, 566, 2172, 258, 2403, 313, 566, 185, 15, 12, 0], [1, 5, 30, 197, 446, 556, 2217, 138, 2613, 61, 776, 65, 60, 2, 1], [1, 5, 30, 198, 435, 611, 2052, 468, 2151, 523, 446, 230, 5, 13, 0], [1, 5, 30, 198, 436, 601, 2097, 348, 2361, 271, 656, 110, 50, 3, 1], [1, 5, 30, 199, 426, 646, 1977, 558, 2109, 481, 536, 155, 40, 4, 1], [1, 5, 30, 200, 416, 691, 1857, 768, 1857, 691, 416, 200, 30, 5, 1], [1, 5, 30, 201, 406, 736, 1737, 978, 1605, 901, 296, 245, 20, 6, 1], [1, 5, 30, 202, 396, 781, 1617, 1188, 1353, 1111, 176, 290, 10, 7, 1], [1, 5, 30, 203, 386, 826, 1497, 1398, 1101, 1321, 56, 335, 0, 8, 1], [1, 5, 30, 205, 367, 906, 1302, 1698, 807, 1489, 26, 305, 25, 0, 2], [1, 5, 31, 187, 490, 446, 2382, 6, 2613, 193, 611, 175, 16, 12, 0], [1, 5, 31, 188, 480, 491, 2262, 216, 2361, 403, 491, 220, 6, 13, 0], [1, 5, 31, 188, 481, 481, 2307, 96, 2571, 151, 701, 100, 51, 3, 1], [1, 5, 31, 189, 471, 526, 2187, 306, 2319, 361, 581, 145, 41, 4, 1], [1, 5, 31, 190, 461, 571, 2067, 516, 2067, 571, 461, 190, 31, 5, 1], [1, 5, 31, 191, 451, 616, 1947, 726, 1815, 781, 341, 235, 21, 6, 1], [1, 5, 31, 192, 441, 661, 1827, 936, 1563, 991, 221, 280, 11, 7, 1], [1, 5, 31, 193, 431, 706, 1707, 1146, 1311, 1201, 101, 325, 1, 8, 1], [1, 5, 31, 195, 412, 786, 1512, 1446, 1017, 1369, 71, 295, 26, 0, 2], [1, 5, 32, 179, 516, 406, 2397, 54, 2529, 241, 626, 135, 42, 4, 1], [1, 5, 32, 180, 506, 451, 2277, 264, 2277, 451, 506, 180, 32, 5, 1], [1, 5, 32, 181, 496, 496, 2157, 474, 2025, 661, 386, 225, 22, 6, 1], [1, 5, 32, 182, 486, 541, 2037, 684, 1773, 871, 266, 270, 12, 7, 1], [1, 5, 32, 183, 476, 586, 1917, 894, 1521, 1081, 146, 315, 2, 8, 1], [1, 5, 32, 185, 457, 666, 1722, 1194, 1227, 1249, 116, 285, 27, 0, 2], [1, 5, 33, 170, 551, 331, 2487, 12, 2487, 331, 551, 170, 33, 5, 1], [1, 5, 33, 171, 541, 376, 2367, 222, 2235, 541, 431, 215, 23, 6, 1], [1, 5, 33, 172, 531, 421, 2247, 432, 1983, 751, 311, 260, 13, 7, 1], [1, 5, 33, 173, 521, 466, 2127, 642, 1731, 961, 191, 305, 3, 8, 1], [1, 5, 33, 175, 502, 546, 1932, 942, 1437, 1129, 161, 275, 28, 0, 2], [1, 5, 33, 176, 492, 591, 1812, 1152, 1185, 1339, 41, 320, 18, 1, 2], [1, 5, 34, 162, 576, 301, 2457, 180, 2193, 631, 356, 250, 14, 7, 1], [1, 5, 34, 163, 566, 346, 2337, 390, 1941, 841, 236, 295, 4, 8, 1], [1, 5, 34, 165, 547, 426, 2142, 690, 1647, 1009, 206, 265, 29, 0, 2], [1, 5, 34, 166, 537, 471, 2022, 900, 1395, 1219, 86, 310, 19, 1, 2], [1, 5, 35, 153, 611, 226, 2547, 138, 2151, 721, 281, 285, 5, 8, 1], [1, 5, 35, 155, 592, 306, 2352, 438, 1857, 889, 251, 255, 30, 0, 2], [1, 5, 35, 156, 582, 351, 2232, 648, 1605, 1099, 131, 300, 20, 1, 2], [1, 5, 35, 157, 572, 396, 2112, 858, 1353, 1309, 11, 345, 10, 2, 2], [1, 5, 36, 145, 637, 186, 2562, 186, 2067, 769, 296, 245, 31, 0, 2], [1, 5, 36, 146, 627, 231, 2442, 396, 1815, 979, 176, 290, 21, 1, 2], [1, 5, 36, 147, 617, 276, 2322, 606, 1563, 1189, 56, 335, 11, 2, 2], [1, 5, 37, 136, 672, 111, 2652, 144, 2025, 859, 221, 280, 22, 1, 2], [1, 5, 37, 137, 662, 156, 2532, 354, 1773, 1069, 101, 325, 12, 2, 2], [1, 5, 38, 127, 707, 36, 2742, 102, 1983, 949, 146, 315, 13, 2, 2], [1, 5, 38, 128, 697, 81, 2622, 312, 1731, 1159, 26, 360, 3, 3, 2], [1, 6, 12, 317, 15, 1511, 840, 1434, 1863, 268, 796, 41, 57, 7, 0], [1, 6, 12, 318, 5, 1556, 720, 1644, 1611, 478, 676, 86, 47, 8, 0], [1, 6, 13, 307, 60, 1391, 1050, 1182, 2073, 148, 841, 31, 58, 7, 0], [1, 6, 13, 308, 50, 1436, 930, 1392, 1821, 358, 721, 76, 48, 8, 0], [1, 6, 13, 309, 40, 1481, 810, 1602, 1569, 568, 601, 121, 38, 9, 0], [1, 6, 13, 310, 30, 1526, 690, 1812, 1317, 778, 481, 166, 28, 10, 0], [1, 6, 13, 310, 31, 1516, 735, 1692, 1527, 526, 691, 46, 73, 0, 1], [1, 6, 13, 311, 20, 1571, 570, 2022, 1065, 988, 361, 211, 18, 11, 0], [1, 6, 13, 311, 21, 1561, 615, 1902, 1275, 736, 571, 91, 63, 1, 1], [1, 6, 13, 312, 10, 1616, 450, 2232, 813, 1198, 241, 256, 8, 12, 0], [1, 6, 13, 312, 11, 1606, 495, 2112, 1023, 946, 451, 136, 53, 2, 1], [1, 6, 13, 313, 1, 1651, 375, 2322, 771, 1156, 331, 181, 43, 3, 1], [1, 6, 14, 297, 105, 1271, 1260, 930, 2283, 28, 886, 21, 59, 7, 0], [1, 6, 14, 298, 95, 1316, 1140, 1140, 2031, 238, 766, 66, 49, 8, 0], [1, 6, 14, 299, 85, 1361, 1020, 1350, 1779, 448, 646, 111, 39, 9, 0], [1, 6, 14, 300, 75, 1406, 900, 1560, 1527, 658, 526, 156, 29, 10, 0], [1, 6, 14, 300, 76, 1396, 945, 1440, 1737, 406, 736, 36, 74, 0, 1], [1, 6, 14, 301, 65, 1451, 780, 1770, 1275, 868, 406, 201, 19, 11, 0], [1, 6, 14, 301, 66, 1441, 825, 1650, 1485, 616, 616, 81, 64, 1, 1], [1, 6, 14, 302, 55, 1496, 660, 1980, 1023, 1078, 286, 246, 9, 12, 0], [1, 6, 14, 302, 56, 1486, 705, 1860, 1233, 826, 496, 126, 54, 2, 1], [1, 6, 14, 303, 46, 1531, 585, 2070, 981, 1036, 376, 171, 44, 3, 1], [1, 6, 14, 304, 36, 1576, 465, 2280, 729, 1246, 256, 216, 34, 4, 1], [1, 6, 14, 305, 26, 1621, 345, 2490, 477, 1456, 136, 261, 24, 5, 1], [1, 6, 14, 306, 16, 1666, 225, 2700, 225, 1666, 16, 306, 14, 6, 1], [1, 6, 15, 288, 140, 1196, 1350, 888, 2241, 118, 811, 56, 50, 8, 0], [1, 6, 15, 289, 130, 1241, 1230, 1098, 1989, 328, 691, 101, 40, 9, 0], [1, 6, 15, 290, 120, 1286, 1110, 1308, 1737, 538, 571, 146, 30, 10, 0], [1, 6, 15, 290, 121, 1276, 1155, 1188, 1947, 286, 781, 26, 75, 0, 1], [1, 6, 15, 291, 110, 1331, 990, 1518, 1485, 748, 451, 191, 20, 11, 0], [1, 6, 15, 291, 111, 1321, 1035, 1398, 1695, 496, 661, 71, 65, 1, 1], [1, 6, 15, 292, 100, 1376, 870, 1728, 1233, 958, 331, 236, 10, 12, 0], [1, 6, 15, 292, 101, 1366, 915, 1608, 1443, 706, 541, 116, 55, 2, 1], [1, 6, 15, 293, 90, 1421, 750, 1938, 981, 1168, 211, 281, 0, 13, 0], [1, 6, 15, 293, 91, 1411, 795, 1818, 1191, 916, 421, 161, 45, 3, 1], [1, 6, 15, 294, 81, 1456, 675, 2028, 939, 1126, 301, 206, 35, 4, 1], [1, 6, 15, 295, 71, 1501, 555, 2238, 687, 1336, 181, 251, 25, 5, 1], [1, 6, 15, 296, 61, 1546, 435, 2448, 435, 1546, 61, 296, 15, 6, 1], [1, 6, 16, 279, 175, 1121, 1440, 846, 2199, 208, 736, 91, 41, 9, 0], [1, 6, 16, 280, 165, 1166, 1320, 1056, 1947, 418, 616, 136, 31, 10, 0], [1, 6, 16, 280, 166, 1156, 1365, 936, 2157, 166, 826, 16, 76, 0, 1], [1, 6, 16, 281, 155, 1211, 1200, 1266, 1695, 628, 496, 181, 21, 11, 0], [1, 6, 16, 281, 156, 1201, 1245, 1146, 1905, 376, 706, 61, 66, 1, 1], [1, 6, 16, 282, 145, 1256, 1080, 1476, 1443, 838, 376, 226, 11, 12, 0], [1, 6, 16, 282, 146, 1246, 1125, 1356, 1653, 586, 586, 106, 56, 2, 1], [1, 6, 16, 283, 135, 1301, 960, 1686, 1191, 1048, 256, 271, 1, 13, 0], [1, 6, 16, 283, 136, 1291, 1005, 1566, 1401, 796, 466, 151, 46, 3, 1], [1, 6, 16, 284, 126, 1336, 885, 1776, 1149, 1006, 346, 196, 36, 4, 1], [1, 6, 16, 285, 116, 1381, 765, 1986, 897, 1216, 226, 241, 26, 5, 1], [1, 6, 16, 286, 106, 1426, 645, 2196, 645, 1426, 106, 286, 16, 6, 1], [1, 6, 17, 269, 220, 1001, 1650, 594, 2409, 88, 781, 81, 42, 9, 0], [1, 6, 17, 270, 210, 1046, 1530, 804, 2157, 298, 661, 126, 32, 10, 0], [1, 6, 17, 270, 211, 1036, 1575, 684, 2367, 46, 871, 6, 77, 0, 1], [1, 6, 17, 271, 200, 1091, 1410, 1014, 1905, 508, 541, 171, 22, 11, 0], [1, 6, 17, 271, 201, 1081, 1455, 894, 2115, 256, 751, 51, 67, 1, 1], [1, 6, 17, 272, 190, 1136, 1290, 1224, 1653, 718, 421, 216, 12, 12, 0], [1, 6, 17, 272, 191, 1126, 1335, 1104, 1863, 466, 631, 96, 57, 2, 1], [1, 6, 17, 273, 180, 1181, 1170, 1434, 1401, 928, 301, 261, 2, 13, 0], [1, 6, 17, 273, 181, 1171, 1215, 1314, 1611, 676, 511, 141, 47, 3, 1], [1, 6, 17, 274, 171, 1216, 1095, 1524, 1359, 886, 391, 186, 37, 4, 1], [1, 6, 17, 275, 161, 1261, 975, 1734, 1107, 1096, 271, 231, 27, 5, 1], [1, 6, 17, 276, 151, 1306, 855, 1944, 855, 1306, 151, 276, 17, 6, 1], [1, 6, 17, 277, 141, 1351, 735, 2154, 603, 1516, 31, 321, 7, 7, 1], [1, 6, 18, 260, 255, 926, 1740, 552, 2367, 178, 706, 116, 33, 10, 0], [1, 6, 18, 261, 245, 971, 1620, 762, 2115, 388, 586, 161, 23, 11, 0], [1, 6, 18, 261, 246, 961, 1665, 642, 2325, 136, 796, 41, 68, 1, 1], [1, 6, 18, 262, 235, 1016, 1500, 972, 1863, 598, 466, 206, 13, 12, 0], [1, 6, 18, 262, 236, 1006, 1545, 852, 2073, 346, 676, 86, 58, 2, 1], [1, 6, 18, 263, 225, 1061, 1380, 1182, 1611, 808, 346, 251, 3, 13, 0], [1, 6, 18, 263, 226, 1051, 1425, 1062, 1821, 556, 556, 131, 48, 3, 1], [1, 6, 18, 264, 216, 1096, 1305, 1272, 1569, 766, 436, 176, 38, 4, 1], [1, 6, 18, 265, 206, 1141, 1185, 1482, 1317, 976, 316, 221, 28, 5, 1], [1, 6, 18, 266, 196, 1186, 1065, 1692, 1065, 1186, 196, 266, 18, 6, 1], [1, 6, 18, 267, 186, 1231, 945, 1902, 813, 1396, 76, 311, 8, 7, 1], [1, 6, 19, 250, 300, 806, 1950, 300, 2577, 58, 751, 106, 34, 10, 0], [1, 6, 19, 251, 290, 851, 1830, 510, 2325, 268, 631, 151, 24, 11, 0], [1, 6, 19, 251, 291, 841, 1875, 390, 2535, 16, 841, 31, 69, 1, 1], [1, 6, 19, 252, 280, 896, 1710, 720, 2073, 478, 511, 196, 14, 12, 0], [1, 6, 19, 252, 281, 886, 1755, 600, 2283, 226, 721, 76, 59, 2, 1], [1, 6, 19, 253, 270, 941, 1590, 930, 1821, 688, 391, 241, 4, 13, 0], [1, 6, 19, 253, 271, 931, 1635, 810, 2031, 436, 601, 121, 49, 3, 1], [1, 6, 19, 254, 261, 976, 1515, 1020, 1779, 646, 481, 166, 39, 4, 1], [1, 6, 19, 255, 251, 1021, 1395, 1230, 1527, 856, 361, 211, 29, 5, 1], [1, 6, 19, 256, 241, 1066, 1275, 1440, 1275, 1066, 241, 256, 19, 6, 1], [1, 6, 19, 257, 231, 1111, 1155, 1650, 1023, 1276, 121, 301, 9, 7, 1], [1, 6, 20, 241, 335, 731, 2040, 258, 2535, 148, 676, 141, 25, 11, 0], [1, 6, 20, 242, 325, 776, 1920, 468, 2283, 358, 556, 186, 15, 12, 0], [1, 6, 20, 242, 326, 766, 1965, 348, 2493, 106, 766, 66, 60, 2, 1], [1, 6, 20, 243, 315, 821, 1800, 678, 2031, 568, 436, 231, 5, 13, 0], [1, 6, 20, 243, 316, 811, 1845, 558, 2241, 316, 646, 111, 50, 3, 1], [1, 6, 20, 244, 306, 856, 1725, 768, 1989, 526, 526, 156, 40, 4, 1], [1, 6, 20, 245, 296, 901, 1605, 978, 1737, 736, 406, 201, 30, 5, 1], [1, 6, 20, 246, 286, 946, 1485, 1188, 1485, 946, 286, 246, 20, 6, 1], [1, 6, 20, 247, 276, 991, 1365, 1398, 1233, 1156, 166, 291, 10, 7, 1], [1, 6, 20, 248, 266, 1036, 1245, 1608, 981, 1366, 46, 336, 0, 8, 1], [1, 6, 20, 250, 247, 1116, 1050, 1908, 687, 1534, 16, 306, 25, 0, 2], [1, 6, 21, 231, 380, 611, 2250, 6, 2745, 28, 721, 131, 26, 11, 0], [1, 6, 21, 232, 370, 656, 2130, 216, 2493, 238, 601, 176, 16, 12, 0], [1, 6, 21, 233, 360, 701, 2010, 426, 2241, 448, 481, 221, 6, 13, 0], [1, 6, 21, 233, 361, 691, 2055, 306, 2451, 196, 691, 101, 51, 3, 1], [1, 6, 21, 234, 351, 736, 1935, 516, 2199, 406, 571, 146, 41, 4, 1], [1, 6, 21, 235, 341, 781, 1815, 726, 1947, 616, 451, 191, 31, 5, 1], [1, 6, 21, 236, 331, 826, 1695, 936, 1695, 826, 331, 236, 21, 6, 1], [1, 6, 21, 237, 321, 871, 1575, 1146, 1443, 1036, 211, 281, 11, 7, 1], [1, 6, 21, 238, 311, 916, 1455, 1356, 1191, 1246, 91, 326, 1, 8, 1], [1, 6, 21, 240, 292, 996, 1260, 1656, 897, 1414, 61, 296, 26, 0, 2], [1, 6, 22, 223, 405, 581, 2220, 174, 2451, 328, 526, 211, 7, 13, 0], [1, 6, 22, 223, 406, 571, 2265, 54, 2661, 76, 736, 91, 52, 3, 1], [1, 6, 22, 224, 396, 616, 2145, 264, 2409, 286, 616, 136, 42, 4, 1], [1, 6, 22, 225, 386, 661, 2025, 474, 2157, 496, 496, 181, 32, 5, 1], [1, 6, 22, 226, 376, 706, 1905, 684, 1905, 706, 376, 226, 22, 6, 1], [1, 6, 22, 227, 366, 751, 1785, 894, 1653, 916, 256, 271, 12, 7, 1], [1, 6, 22, 228, 356, 796, 1665, 1104, 1401, 1126, 136, 316, 2, 8, 1], [1, 6, 22, 230, 337, 876, 1470, 1404, 1107, 1294, 106, 286, 27, 0, 2], [1, 6, 23, 214, 441, 496, 2355, 12, 2619, 166, 661, 126, 43, 4, 1], [1, 6, 23, 215, 431, 541, 2235, 222, 2367, 376, 541, 171, 33, 5, 1], [1, 6, 23, 216, 421, 586, 2115, 432, 2115, 586, 421, 216, 23, 6, 1], [1, 6, 23, 217, 411, 631, 1995, 642, 1863, 796, 301, 261, 13, 7, 1], [1, 6, 23, 218, 401, 676, 1875, 852, 1611, 1006, 181, 306, 3, 8, 1], [1, 6, 23, 220, 382, 756, 1680, 1152, 1317, 1174, 151, 276, 28, 0, 2], [1, 6, 23, 221, 372, 801, 1560, 1362, 1065, 1384, 31, 321, 18, 1, 2], [1, 6, 24, 206, 466, 466, 2325, 180, 2325, 466, 466, 206, 24, 6, 1], [1, 6, 24, 207, 456, 511, 2205, 390, 2073, 676, 346, 251, 14, 7, 1], [1, 6, 24, 208, 446, 556, 2085, 600, 1821, 886, 226, 296, 4, 8, 1], [1, 6, 24, 210, 427, 636, 1890, 900, 1527, 1054, 196, 266, 29, 0, 2], [1, 6, 24, 211, 417, 681, 1770, 1110, 1275, 1264, 76, 311, 19, 1, 2], [1, 6, 25, 197, 501, 391, 2415, 138, 2283, 556, 391, 241, 15, 7, 1], [1, 6, 25, 198, 491, 436, 2295, 348, 2031, 766, 271, 286, 5, 8, 1], [1, 6, 25, 200, 472, 516, 2100, 648, 1737, 934, 241, 256, 30, 0, 2], [1, 6, 25, 201, 462, 561, 1980, 858, 1485, 1144, 121, 301, 20, 1, 2], [1, 6, 25, 202, 452, 606, 1860, 1068, 1233, 1354, 1, 346, 10, 2, 2], [1, 6, 26, 188, 536, 316, 2505, 96, 2241, 646, 316, 276, 6, 8, 1], [1, 6, 26, 190, 517, 396, 2310, 396, 1947, 814, 286, 246, 31, 0, 2], [1, 6, 26, 191, 507, 441, 2190, 606, 1695, 1024, 166, 291, 21, 1, 2], [1, 6, 26, 192, 497, 486, 2070, 816, 1443, 1234, 46, 336, 11, 2, 2], [1, 6, 27, 180, 562, 276, 2520, 144, 2157, 694, 331, 236, 32, 0, 2], [1, 6, 27, 181, 552, 321, 2400, 354, 1905, 904, 211, 281, 22, 1, 2], [1, 6, 27, 182, 542, 366, 2280, 564, 1653, 1114, 91, 326, 12, 2, 2], [1, 6, 28, 171, 597, 201, 2610, 102, 2115, 784, 256, 271, 23, 1, 2], [1, 6, 28, 172, 587, 246, 2490, 312, 1863, 994, 136, 316, 13, 2, 2], [1, 6, 28, 173, 577, 291, 2370, 522, 1611, 1204, 16, 361, 3, 3, 2], [1, 6, 29, 162, 632, 126, 2700, 60, 2073, 874, 181, 306, 14, 2, 2], [1, 6, 29, 163, 622, 171, 2580, 270, 1821, 1084, 61, 351, 4, 3, 2], [1, 6, 30, 153, 667, 51, 2790, 18, 2031, 964, 106, 341, 5, 3, 2], [1, 7, 5, 333, 20, 1406, 1098, 1098, 2121, 163, 801, 57, 50, 8, 0], [1, 7, 5, 334, 10, 1451, 978, 1308, 1869, 373, 681, 102, 40, 9, 0], [1, 7, 5, 335, 0, 1496, 858, 1518, 1617, 583, 561, 147, 30, 10, 0], [1, 7, 5, 335, 1, 1486, 903, 1398, 1827, 331, 771, 27, 75, 0, 1], [1, 7, 6, 323, 65, 1286, 1308, 846, 2331, 43, 846, 47, 51, 8, 0], [1, 7, 6, 324, 55, 1331, 1188, 1056, 2079, 253, 726, 92, 41, 9, 0], [1, 7, 6, 325, 45, 1376, 1068, 1266, 1827, 463, 606, 137, 31, 10, 0], [1, 7, 6, 325, 46, 1366, 1113, 1146, 2037, 211, 816, 17, 76, 0, 1], [1, 7, 6, 326, 35, 1421, 948, 1476, 1575, 673, 486, 182, 21, 11, 0], [1, 7, 6, 326, 36, 1411, 993, 1356, 1785, 421, 696, 62, 66, 1, 1], [1, 7, 6, 327, 25, 1466, 828, 1686, 1323, 883, 366, 227, 11, 12, 0], [1, 7, 6, 327, 26, 1456, 873, 1566, 1533, 631, 576, 107, 56, 2, 1], [1, 7, 6, 328, 15, 1511, 708, 1896, 1071, 1093, 246, 272, 1, 13, 0], [1, 7, 6, 328, 16, 1501, 753, 1776, 1281, 841, 456, 152, 46, 3, 1], [1, 7, 6, 329, 6, 1546, 633, 1986, 1029, 1051, 336, 197, 36, 4, 1], [1, 7, 7, 314, 100, 1211, 1398, 804, 2289, 133, 771, 82, 42, 9, 0], [1, 7, 7, 315, 90, 1256, 1278, 1014, 2037, 343, 651, 127, 32, 10, 0], [1, 7, 7, 315, 91, 1246, 1323, 894, 2247, 91, 861, 7, 77, 0, 1], [1, 7, 7, 316, 80, 1301, 1158, 1224, 1785, 553, 531, 172, 22, 11, 0], [1, 7, 7, 316, 81, 1291, 1203, 1104, 1995, 301, 741, 52, 67, 1, 1], [1, 7, 7, 317, 70, 1346, 1038, 1434, 1533, 763, 411, 217, 12, 12, 0], [1, 7, 7, 317, 71, 1336, 1083, 1314, 1743, 511, 621, 97, 57, 2, 1], [1, 7, 7, 318, 60, 1391, 918, 1644, 1281, 973, 291, 262, 2, 13, 0], [1, 7, 7, 318, 61, 1381, 963, 1524, 1491, 721, 501, 142, 47, 3, 1], [1, 7, 7, 319, 51, 1426, 843, 1734, 1239, 931, 381, 187, 37, 4, 1], [1, 7, 7, 320, 41, 1471, 723, 1944, 987, 1141, 261, 232, 27, 5, 1], [1, 7, 7, 321, 31, 1516, 603, 2154, 735, 1351, 141, 277, 17, 6, 1], [1, 7, 7, 322, 21, 1561, 483, 2364, 483, 1561, 21, 322, 7, 7, 1], [1, 7, 8, 304, 145, 1091, 1608, 552, 2499, 13, 816, 72, 43, 9, 0], [1, 7, 8, 305, 135, 1136, 1488, 762, 2247, 223, 696, 117, 33, 10, 0], [1, 7, 8, 306, 125, 1181, 1368, 972, 1995, 433, 576, 162, 23, 11, 0], [1, 7, 8, 306, 126, 1171, 1413, 852, 2205, 181, 786, 42, 68, 1, 1], [1, 7, 8, 307, 115, 1226, 1248, 1182, 1743, 643, 456, 207, 13, 12, 0], [1, 7, 8, 307, 116, 1216, 1293, 1062, 1953, 391, 666, 87, 58, 2, 1], [1, 7, 8, 308, 105, 1271, 1128, 1392, 1491, 853, 336, 252, 3, 13, 0], [1, 7, 8, 308, 106, 1261, 1173, 1272, 1701, 601, 546, 132, 48, 3, 1], [1, 7, 8, 309, 96, 1306, 1053, 1482, 1449, 811, 426, 177, 38, 4, 1], [1, 7, 8, 310, 86, 1351, 933, 1692, 1197, 1021, 306, 222, 28, 5, 1], [1, 7, 8, 311, 76, 1396, 813, 1902, 945, 1231, 186, 267, 18, 6, 1], [1, 7, 8, 312, 66, 1441, 693, 2112, 693, 1441, 66, 312, 8, 7, 1], [1, 7, 9, 295, 180, 1016, 1698, 510, 2457, 103, 741, 107, 34, 10, 0], [1, 7, 9, 296, 170, 1061, 1578, 720, 2205, 313, 621, 152, 24, 11, 0], [1, 7, 9, 296, 171, 1051, 1623, 600, 2415, 61, 831, 32, 69, 1, 1], [1, 7, 9, 297, 160, 1106, 1458, 930, 1953, 523, 501, 197, 14, 12, 0], [1, 7, 9, 297, 161, 1096, 1503, 810, 2163, 271, 711, 77, 59, 2, 1], [1, 7, 9, 298, 150, 1151, 1338, 1140, 1701, 733, 381, 242, 4, 13, 0], [1, 7, 9, 298, 151, 1141, 1383, 1020, 1911, 481, 591, 122, 49, 3, 1], [1, 7, 9, 299, 141, 1186, 1263, 1230, 1659, 691, 471, 167, 39, 4, 1], [1, 7, 9, 300, 131, 1231, 1143, 1440, 1407, 901, 351, 212, 29, 5, 1], [1, 7, 9, 301, 121, 1276, 1023, 1650, 1155, 1111, 231, 257, 19, 6, 1], [1, 7, 9, 302, 111, 1321, 903, 1860, 903, 1321, 111, 302, 9, 7, 1], [1, 7, 10, 286, 215, 941, 1788, 468, 2415, 193, 666, 142, 25, 11, 0], [1, 7, 10, 287, 205, 986, 1668, 678, 2163, 403, 546, 187, 15, 12, 0], [1, 7, 10, 287, 206, 976, 1713, 558, 2373, 151, 756, 67, 60, 2, 1], [1, 7, 10, 288, 195, 1031, 1548, 888, 1911, 613, 426, 232, 5, 13, 0], [1, 7, 10, 288, 196, 1021, 1593, 768, 2121, 361, 636, 112, 50, 3, 1], [1, 7, 10, 289, 186, 1066, 1473, 978, 1869, 571, 516, 157, 40, 4, 1], [1, 7, 10, 290, 176, 1111, 1353, 1188, 1617, 781, 396, 202, 30, 5, 1], [1, 7, 10, 291, 166, 1156, 1233, 1398, 1365, 991, 276, 247, 20, 6, 1], [1, 7, 10, 292, 156, 1201, 1113, 1608, 1113, 1201, 156, 292, 10, 7, 1], [1, 7, 10, 293, 146, 1246, 993, 1818, 861, 1411, 36, 337, 0, 8, 1], [1, 7, 10, 295, 127, 1326, 798, 2118, 567, 1579, 6, 307, 25, 0, 2], [1, 7, 11, 276, 260, 821, 1998, 216, 2625, 73, 711, 132, 26, 11, 0], [1, 7, 11, 277, 250, 866, 1878, 426, 2373, 283, 591, 177, 16, 12, 0], [1, 7, 11, 277, 251, 856, 1923, 306, 2583, 31, 801, 57, 61, 2, 1], [1, 7, 11, 278, 240, 911, 1758, 636, 2121, 493, 471, 222, 6, 13, 0], [1, 7, 11, 278, 241, 901, 1803, 516, 2331, 241, 681, 102, 51, 3, 1], [1, 7, 11, 279, 231, 946, 1683, 726, 2079, 451, 561, 147, 41, 4, 1], [1, 7, 11, 280, 221, 991, 1563, 936, 1827, 661, 441, 192, 31, 5, 1], [1, 7, 11, 281, 211, 1036, 1443, 1146, 1575, 871, 321, 237, 21, 6, 1], [1, 7, 11, 282, 201, 1081, 1323, 1356, 1323, 1081, 201, 282, 11, 7, 1], [1, 7, 11, 283, 191, 1126, 1203, 1566, 1071, 1291, 81, 327, 1, 8, 1], [1, 7, 11, 285, 172, 1206, 1008, 1866, 777, 1459, 51, 297, 26, 0, 2], [1, 7, 12, 267, 295, 746, 2088, 174, 2583, 163, 636, 167, 17, 12, 0], [1, 7, 12, 268, 285, 791, 1968, 384, 2331, 373, 516, 212, 7, 13, 0], [1, 7, 12, 268, 286, 781, 2013, 264, 2541, 121, 726, 92, 52, 3, 1], [1, 7, 12, 269, 276, 826, 1893, 474, 2289, 331, 606, 137, 42, 4, 1], [1, 7, 12, 270, 266, 871, 1773, 684, 2037, 541, 486, 182, 32, 5, 1], [1, 7, 12, 271, 256, 916, 1653, 894, 1785, 751, 366, 227, 22, 6, 1], [1, 7, 12, 272, 246, 961, 1533, 1104, 1533, 961, 246, 272, 12, 7, 1], [1, 7, 12, 273, 236, 1006, 1413, 1314, 1281, 1171, 126, 317, 2, 8, 1], [1, 7, 12, 275, 217, 1086, 1218, 1614, 987, 1339, 96, 287, 27, 0, 2], [1, 7, 13, 258, 330, 671, 2178, 132, 2541, 253, 561, 202, 8, 13, 0], [1, 7, 13, 258, 331, 661, 2223, 12, 2751, 1, 771, 82, 53, 3, 1], [1, 7, 13, 259, 321, 706, 2103, 222, 2499, 211, 651, 127, 43, 4, 1], [1, 7, 13, 260, 311, 751, 1983, 432, 2247, 421, 531, 172, 33, 5, 1], [1, 7, 13, 261, 301, 796, 1863, 642, 1995, 631, 411, 217, 23, 6, 1], [1, 7, 13, 262, 291, 841, 1743, 852, 1743, 841, 291, 262, 13, 7, 1], [1, 7, 13, 263, 281, 886, 1623, 1062, 1491, 1051, 171, 307, 3, 8, 1], [1, 7, 13, 265, 262, 966, 1428, 1362, 1197, 1219, 141, 277, 28, 0, 2], [1, 7, 13, 266, 252, 1011, 1308, 1572, 945, 1429, 21, 322, 18, 1, 2], [1, 7, 14, 250, 356, 631, 2193, 180, 2457, 301, 576, 162, 34, 5, 1], [1, 7, 14, 251, 346, 676, 2073, 390, 2205, 511, 456, 207, 24, 6, 1], [1, 7, 14, 252, 336, 721, 1953, 600, 1953, 721, 336, 252, 14, 7, 1], [1, 7, 14, 253, 326, 766, 1833, 810, 1701, 931, 216, 297, 4, 8, 1], [1, 7, 14, 255, 307, 846, 1638, 1110, 1407, 1099, 186, 267, 29, 0, 2], [1, 7, 14, 256, 297, 891, 1518, 1320, 1155, 1309, 66, 312, 19, 1, 2], [1, 7, 15, 241, 391, 556, 2283, 138, 2415, 391, 501, 197, 25, 6, 1], [1, 7, 15, 242, 381, 601, 2163, 348, 2163, 601, 381, 242, 15, 7, 1], [1, 7, 15, 243, 371, 646, 2043, 558, 1911, 811, 261, 287, 5, 8, 1], [1, 7, 15, 245, 352, 726, 1848, 858, 1617, 979, 231, 257, 30, 0, 2], [1, 7, 15, 246, 342, 771, 1728, 1068, 1365, 1189, 111, 302, 20, 1, 2], [1, 7, 16, 232, 426, 481, 2373, 96, 2373, 481, 426, 232, 16, 7, 1], [1, 7, 16, 233, 416, 526, 2253, 306, 2121, 691, 306, 277, 6, 8, 1], [1, 7, 16, 235, 397, 606, 2058, 606, 1827, 859, 276, 247, 31, 0, 2], [1, 7, 16, 236, 387, 651, 1938, 816, 1575, 1069, 156, 292, 21, 1, 2], [1, 7, 16, 237, 377, 696, 1818, 1026, 1323, 1279, 36, 337, 11, 2, 2], [1, 7, 17, 223, 461, 406, 2463, 54, 2331, 571, 351, 267, 7, 8, 1], [1, 7, 17, 225, 442, 486, 2268, 354, 2037, 739, 321, 237, 32, 0, 2], [1, 7, 17, 226, 432, 531, 2148, 564, 1785, 949, 201, 282, 22, 1, 2], [1, 7, 17, 227, 422, 576, 2028, 774, 1533, 1159, 81, 327, 12, 2, 2], [1, 7, 18, 215, 487, 366, 2478, 102, 2247, 619, 366, 227, 33, 0, 2], [1, 7, 18, 216, 477, 411, 2358, 312, 1995, 829, 246, 272, 23, 1, 2], [1, 7, 18, 217, 467, 456, 2238, 522, 1743, 1039, 126, 317, 13, 2, 2], [1, 7, 18, 218, 457, 501, 2118, 732, 1491, 1249, 6, 362, 3, 3, 2], [1, 7, 19, 206, 522, 291, 2568, 60, 2205, 709, 291, 262, 24, 1, 2], [1, 7, 19, 207, 512, 336, 2448, 270, 1953, 919, 171, 307, 14, 2, 2], [1, 7, 19, 208, 502, 381, 2328, 480, 1701, 1129, 51, 352, 4, 3, 2], [1, 7, 20, 197, 557, 216, 2658, 18, 2163, 799, 216, 297, 15, 2, 2], [1, 7, 20, 198, 547, 261, 2538, 228, 1911, 1009, 96, 342, 5, 3, 2], [1, 8, 0, 330, 105, 1106, 1656, 468, 2547, 28, 776, 98, 35, 10, 0], [1, 8, 0, 331, 95, 1151, 1536, 678, 2295, 238, 656, 143, 25, 11, 0], [1, 8, 0, 332, 85, 1196, 1416, 888, 2043, 448, 536, 188, 15, 12, 0], [1, 8, 0, 332, 86, 1186, 1461, 768, 2253, 196, 746, 68, 60, 2, 1], [1, 8, 0, 333, 75, 1241, 1296, 1098, 1791, 658, 416, 233, 5, 13, 0], [1, 8, 0, 333, 76, 1231, 1341, 978, 2001, 406, 626, 113, 50, 3, 1], [1, 8, 0, 334, 66, 1276, 1221, 1188, 1749, 616, 506, 158, 40, 4, 1], [1, 8, 0, 335, 56, 1321, 1101, 1398, 1497, 826, 386, 203, 30, 5, 1], [1, 8, 0, 336, 46, 1366, 981, 1608, 1245, 1036, 266, 248, 20, 6, 1], [1, 8, 0, 337, 36, 1411, 861, 1818, 993, 1246, 146, 293, 10, 7, 1], [1, 8, 0, 338, 26, 1456, 741, 2028, 741, 1456, 26, 338, 0, 8, 1], [1, 8, 1, 321, 140, 1031, 1746, 426, 2505, 118, 701, 133, 26, 11, 0], [1, 8, 1, 322, 130, 1076, 1626, 636, 2253, 328, 581, 178, 16, 12, 0], [1, 8, 1, 322, 131, 1066, 1671, 516, 2463, 76, 791, 58, 61, 2, 1], [1, 8, 1, 323, 120, 1121, 1506, 846, 2001, 538, 461, 223, 6, 13, 0], [1, 8, 1, 323, 121, 1111, 1551, 726, 2211, 286, 671, 103, 51, 3, 1], [1, 8, 1, 324, 111, 1156, 1431, 936, 1959, 496, 551, 148, 41, 4, 1], [1, 8, 1, 325, 101, 1201, 1311, 1146, 1707, 706, 431, 193, 31, 5, 1], [1, 8, 1, 326, 91, 1246, 1191, 1356, 1455, 916, 311, 238, 21, 6, 1], [1, 8, 1, 327, 81, 1291, 1071, 1566, 1203, 1126, 191, 283, 11, 7, 1], [1, 8, 1, 328, 71, 1336, 951, 1776, 951, 1336, 71, 328, 1, 8, 1], [1, 8, 1, 330, 52, 1416, 756, 2076, 657, 1504, 41, 298, 26, 0, 2], [1, 8, 2, 312, 175, 956, 1836, 384, 2463, 208, 626, 168, 17, 12, 0], [1, 8, 2, 313, 165, 1001, 1716, 594, 2211, 418, 506, 213, 7, 13, 0], [1, 8, 2, 313, 166, 991, 1761, 474, 2421, 166, 716, 93, 52, 3, 1], [1, 8, 2, 314, 156, 1036, 1641, 684, 2169, 376, 596, 138, 42, 4, 1], [1, 8, 2, 315, 146, 1081, 1521, 894, 1917, 586, 476, 183, 32, 5, 1], [1, 8, 2, 316, 136, 1126, 1401, 1104, 1665, 796, 356, 228, 22, 6, 1], [1, 8, 2, 317, 126, 1171, 1281, 1314, 1413, 1006, 236, 273, 12, 7, 1], [1, 8, 2, 318, 116, 1216, 1161, 1524, 1161, 1216, 116, 318, 2, 8, 1], [1, 8, 2, 320, 97, 1296, 966, 1824, 867, 1384, 86, 288, 27, 0, 2], [1, 8, 3, 302, 220, 836, 2046, 132, 2673, 88, 671, 158, 18, 12, 0], [1, 8, 3, 303, 210, 881, 1926, 342, 2421, 298, 551, 203, 8, 13, 0], [1, 8, 3, 303, 211, 871, 1971, 222, 2631, 46, 761, 83, 53, 3, 1], [1, 8, 3, 304, 201, 916, 1851, 432, 2379, 256, 641, 128, 43, 4, 1], [1, 8, 3, 305, 191, 961, 1731, 642, 2127, 466, 521, 173, 33, 5, 1], [1, 8, 3, 306, 181, 1006, 1611, 852, 1875, 676, 401, 218, 23, 6, 1], [1, 8, 3, 307, 171, 1051, 1491, 1062, 1623, 886, 281, 263, 13, 7, 1], [1, 8, 3, 308, 161, 1096, 1371, 1272, 1371, 1096, 161, 308, 3, 8, 1], [1, 8, 3, 310, 142, 1176, 1176, 1572, 1077, 1264, 131, 278, 28, 0, 2], [1, 8, 3, 311, 132, 1221, 1056, 1782, 825, 1474, 11, 323, 18, 1, 2], [1, 8, 4, 293, 255, 761, 2136, 90, 2631, 178, 596, 193, 9, 13, 0], [1, 8, 4, 294, 246, 796, 2061, 180, 2589, 136, 686, 118, 44, 4, 1], [1, 8, 4, 295, 236, 841, 1941, 390, 2337, 346, 566, 163, 34, 5, 1], [1, 8, 4, 296, 226, 886, 1821, 600, 2085, 556, 446, 208, 24, 6, 1], [1, 8, 4, 297, 216, 931, 1701, 810, 1833, 766, 326, 253, 14, 7, 1], [1, 8, 4, 298, 206, 976, 1581, 1020, 1581, 976, 206, 298, 4, 8, 1], [1, 8, 4, 300, 187, 1056, 1386, 1320, 1287, 1144, 176, 268, 29, 0, 2], [1, 8, 4, 301, 177, 1101, 1266, 1530, 1035, 1354, 56, 313, 19, 1, 2], [1, 8, 5, 284, 290, 686, 2226, 48, 2589, 268, 521, 228, 0, 14, 0], [1, 8, 5, 285, 281, 721, 2151, 138, 2547, 226, 611, 153, 35, 5, 1], [1, 8, 5, 286, 271, 766, 2031, 348, 2295, 436, 491, 198, 25, 6, 1], [1, 8, 5, 287, 261, 811, 1911, 558, 2043, 646, 371, 243, 15, 7, 1], [1, 8, 5, 288, 251, 856, 1791, 768, 1791, 856, 251, 288, 5, 8, 1], [1, 8, 5, 290, 232, 936, 1596, 1068, 1497, 1024, 221, 258, 30, 0, 2], [1, 8, 5, 291, 222, 981, 1476, 1278, 1245, 1234, 101, 303, 20, 1, 2], [1, 8, 6, 276, 316, 646, 2241, 96, 2505, 316, 536, 188, 26, 6, 1], [1, 8, 6, 277, 306, 691, 2121, 306, 2253, 526, 416, 233, 16, 7, 1], [1, 8, 6, 278, 296, 736, 2001, 516, 2001, 736, 296, 278, 6, 8, 1], [1, 8, 6, 280, 277, 816, 1806, 816, 1707, 904, 266, 248, 31, 0, 2], [1, 8, 6, 281, 267, 861, 1686, 1026, 1455, 1114, 146, 293, 21, 1, 2], [1, 8, 6, 282, 257, 906, 1566, 1236, 1203, 1324, 26, 338, 11, 2, 2], [1, 8, 7, 267, 351, 571, 2331, 54, 2463, 406, 461, 223, 17, 7, 1], [1, 8, 7, 268, 341, 616, 2211, 264, 2211, 616, 341, 268, 7, 8, 1], [1, 8, 7, 270, 322, 696, 2016, 564, 1917, 784, 311, 238, 32, 0, 2], [1, 8, 7, 271, 312, 741, 1896, 774, 1665, 994, 191, 283, 22, 1, 2], [1, 8, 7, 272, 302, 786, 1776, 984, 1413, 1204, 71, 328, 12, 2, 2], [1, 8, 8, 258, 386, 496, 2421, 12, 2421, 496, 386, 258, 8, 8, 1], [1, 8, 8, 260, 367, 576, 2226, 312, 2127, 664, 356, 228, 33, 0, 2], [1, 8, 8, 261, 357, 621, 2106, 522, 1875, 874, 236, 273, 23, 1, 2], [1, 8, 8, 262, 347, 666, 1986, 732, 1623, 1084, 116, 318, 13, 2, 2], [1, 8, 9, 250, 412, 456, 2436, 60, 2337, 544, 401, 218, 34, 0, 2], [1, 8, 9, 251, 402, 501, 2316, 270, 2085, 754, 281, 263, 24, 1, 2], [1, 8, 9, 252, 392, 546, 2196, 480, 1833, 964, 161, 308, 14, 2, 2], [1, 8, 9, 253, 382, 591, 2076, 690, 1581, 1174, 41, 353, 4, 3, 2], [1, 8, 10, 241, 447, 381, 2526, 18, 2295, 634, 326, 253, 25, 1, 2], [1, 8, 10, 242, 437, 426, 2406, 228, 2043, 844, 206, 298, 15, 2, 2], [1, 8, 10, 243, 427, 471, 2286, 438, 1791, 1054, 86, 343, 5, 3, 2], [1, 8, 11, 233, 472, 351, 2496, 186, 2001, 934, 131, 333, 6, 3, 2], [1, 9, 0, 285, 337, 546, 2394, 18, 2427, 469, 436, 209, 35, 0, 2], [1, 9, 0, 286, 327, 591, 2274, 228, 2175, 679, 316, 254, 25, 1, 2], [1, 9, 0, 287, 317, 636, 2154, 438, 1923, 889, 196, 299, 15, 2, 2], [1, 9, 0, 288, 307, 681, 2034, 648, 1671, 1099, 76, 344, 5, 3, 2], [1, 9, 1, 277, 362, 516, 2364, 186, 2133, 769, 241, 289, 16, 2, 2], [1, 9, 1, 278, 352, 561, 2244, 396, 1881, 979, 121, 334, 6, 3, 2], [1, 9, 2, 268, 397, 441, 2454, 144, 2091, 859, 166, 324, 7, 3, 2], [2, 0, 24, 309, 40, 1349, 1272, 810, 2394, 18, 832, 65, 44, 9, 0], [2, 0, 24, 310, 30, 1394, 1152, 1020, 2142, 228, 712, 110, 34, 10, 0], [2, 0, 24, 311, 20, 1439, 1032, 1230, 1890, 438, 592, 155, 24, 11, 0], [2, 0, 24, 311, 21, 1429, 1077, 1110, 2100, 186, 802, 35, 69, 1, 1], [2, 0, 24, 312, 10, 1484, 912, 1440, 1638, 648, 472, 200, 14, 12, 0], [2, 0, 24, 312, 11, 1474, 957, 1320, 1848, 396, 682, 80, 59, 2, 1], [2, 0, 24, 313, 0, 1529, 792, 1650, 1386, 858, 352, 245, 4, 13, 0], [2, 0, 24, 313, 1, 1519, 837, 1530, 1596, 606, 562, 125, 49, 3, 1], [2, 0, 25, 300, 75, 1274, 1362, 768, 2352, 108, 757, 100, 35, 10, 0], [2, 0, 25, 301, 65, 1319, 1242, 978, 2100, 318, 637, 145, 25, 11, 0], [2, 0, 25, 301, 66, 1309, 1287, 858, 2310, 66, 847, 25, 70, 1, 1], [2, 0, 25, 302, 55, 1364, 1122, 1188, 1848, 528, 517, 190, 15, 12, 0], [2, 0, 25, 302, 56, 1354, 1167, 1068, 2058, 276, 727, 70, 60, 2, 1], [2, 0, 25, 303, 45, 1409, 1002, 1398, 1596, 738, 397, 235, 5, 13, 0], [2, 0, 25, 303, 46, 1399, 1047, 1278, 1806, 486, 607, 115, 50, 3, 1], [2, 0, 25, 304, 36, 1444, 927, 1488, 1554, 696, 487, 160, 40, 4, 1], [2, 0, 25, 305, 26, 1489, 807, 1698, 1302, 906, 367, 205, 30, 5, 1], [2, 0, 25, 306, 16, 1534, 687, 1908, 1050, 1116, 247, 250, 20, 6, 1], [2, 0, 25, 307, 6, 1579, 567, 2118, 798, 1326, 127, 295, 10, 7, 1], [2, 0, 26, 291, 110, 1199, 1452, 726, 2310, 198, 682, 135, 26, 11, 0], [2, 0, 26, 292, 100, 1244, 1332, 936, 2058, 408, 562, 180, 16, 12, 0], [2, 0, 26, 292, 101, 1234, 1377, 816, 2268, 156, 772, 60, 61, 2, 1], [2, 0, 26, 293, 90, 1289, 1212, 1146, 1806, 618, 442, 225, 6, 13, 0], [2, 0, 26, 293, 91, 1279, 1257, 1026, 2016, 366, 652, 105, 51, 3, 1], [2, 0, 26, 294, 81, 1324, 1137, 1236, 1764, 576, 532, 150, 41, 4, 1], [2, 0, 26, 295, 71, 1369, 1017, 1446, 1512, 786, 412, 195, 31, 5, 1], [2, 0, 26, 296, 61, 1414, 897, 1656, 1260, 996, 292, 240, 21, 6, 1], [2, 0, 26, 297, 51, 1459, 777, 1866, 1008, 1206, 172, 285, 11, 7, 1], [2, 0, 26, 298, 41, 1504, 657, 2076, 756, 1416, 52, 330, 1, 8, 1], [2, 0, 26, 300, 22, 1584, 462, 2376, 462, 1584, 22, 300, 26, 0, 2], [2, 0, 27, 281, 155, 1079, 1662, 474, 2520, 78, 727, 125, 27, 11, 0], [2, 0, 27, 282, 145, 1124, 1542, 684, 2268, 288, 607, 170, 17, 12, 0], [2, 0, 27, 282, 146, 1114, 1587, 564, 2478, 36, 817, 50, 62, 2, 1], [2, 0, 27, 283, 135, 1169, 1422, 894, 2016, 498, 487, 215, 7, 13, 0], [2, 0, 27, 283, 136, 1159, 1467, 774, 2226, 246, 697, 95, 52, 3, 1], [2, 0, 27, 284, 126, 1204, 1347, 984, 1974, 456, 577, 140, 42, 4, 1], [2, 0, 27, 285, 116, 1249, 1227, 1194, 1722, 666, 457, 185, 32, 5, 1], [2, 0, 27, 286, 106, 1294, 1107, 1404, 1470, 876, 337, 230, 22, 6, 1], [2, 0, 27, 287, 96, 1339, 987, 1614, 1218, 1086, 217, 275, 12, 7, 1], [2, 0, 27, 288, 86, 1384, 867, 1824, 966, 1296, 97, 320, 2, 8, 1], [2, 0, 27, 290, 67, 1464, 672, 2124, 672, 1464, 67, 290, 27, 0, 2], [2, 0, 28, 272, 190, 1004, 1752, 432, 2478, 168, 652, 160, 18, 12, 0], [2, 0, 28, 273, 180, 1049, 1632, 642, 2226, 378, 532, 205, 8, 13, 0], [2, 0, 28, 273, 181, 1039, 1677, 522, 2436, 126, 742, 85, 53, 3, 1], [2, 0, 28, 274, 171, 1084, 1557, 732, 2184, 336, 622, 130, 43, 4, 1], [2, 0, 28, 275, 161, 1129, 1437, 942, 1932, 546, 502, 175, 33, 5, 1], [2, 0, 28, 276, 151, 1174, 1317, 1152, 1680, 756, 382, 220, 23, 6, 1], [2, 0, 28, 277, 141, 1219, 1197, 1362, 1428, 966, 262, 265, 13, 7, 1], [2, 0, 28, 278, 131, 1264, 1077, 1572, 1176, 1176, 142, 310, 3, 8, 1], [2, 0, 28, 280, 112, 1344, 882, 1872, 882, 1344, 112, 280, 28, 0, 2], [2, 0, 29, 262, 235, 884, 1962, 180, 2688, 48, 697, 150, 19, 12, 0], [2, 0, 29, 263, 225, 929, 1842, 390, 2436, 258, 577, 195, 9, 13, 0], [2, 0, 29, 263, 226, 919, 1887, 270, 2646, 6, 787, 75, 54, 3, 1], [2, 0, 29, 264, 216, 964, 1767, 480, 2394, 216, 667, 120, 44, 4, 1], [2, 0, 29, 265, 206, 1009, 1647, 690, 2142, 426, 547, 165, 34, 5, 1], [2, 0, 29, 266, 196, 1054, 1527, 900, 1890, 636, 427, 210, 24, 6, 1], [2, 0, 29, 267, 186, 1099, 1407, 1110, 1638, 846, 307, 255, 14, 7, 1], [2, 0, 29, 268, 176, 1144, 1287, 1320, 1386, 1056, 187, 300, 4, 8, 1], [2, 0, 29, 270, 157, 1224, 1092, 1620, 1092, 1224, 157, 270, 29, 0, 2], [2, 0, 29, 271, 147, 1269, 972, 1830, 840, 1434, 37, 315, 19, 1, 2], [2, 0, 30, 253, 270, 809, 2052, 138, 2646, 138, 622, 185, 10, 13, 0], [2, 0, 30, 254, 260, 854, 1932, 348, 2394, 348, 502, 230, 0, 14, 0], [2, 0, 30, 254, 261, 844, 1977, 228, 2604, 96, 712, 110, 45, 4, 1], [2, 0, 30, 255, 251, 889, 1857, 438, 2352, 306, 592, 155, 35, 5, 1], [2, 0, 30, 256, 241, 934, 1737, 648, 2100, 516, 472, 200, 25, 6, 1], [2, 0, 30, 257, 231, 979, 1617, 858, 1848, 726, 352, 245, 15, 7, 1], [2, 0, 30, 258, 221, 1024, 1497, 1068, 1596, 936, 232, 290, 5, 8, 1], [2, 0, 30, 260, 202, 1104, 1302, 1368, 1302, 1104, 202, 260, 30, 0, 2], [2, 0, 30, 261, 192, 1149, 1182, 1578, 1050, 1314, 82, 305, 20, 1, 2], [2, 0, 31, 244, 305, 734, 2142, 96, 2604, 228, 547, 220, 1, 14, 0], [2, 0, 31, 245, 296, 769, 2067, 186, 2562, 186, 637, 145, 36, 5, 1], [2, 0, 31, 246, 286, 814, 1947, 396, 2310, 396, 517, 190, 26, 6, 1], [2, 0, 31, 247, 276, 859, 1827, 606, 2058, 606, 397, 235, 16, 7, 1], [2, 0, 31, 248, 266, 904, 1707, 816, 1806, 816, 277, 280, 6, 8, 1], [2, 0, 31, 250, 247, 984, 1512, 1116, 1512, 984, 247, 250, 31, 0, 2], [2, 0, 31, 251, 237, 1029, 1392, 1326, 1260, 1194, 127, 295, 21, 1, 2], [2, 0, 31, 252, 227, 1074, 1272, 1536, 1008, 1404, 7, 340, 11, 2, 2], [2, 0, 32, 236, 331, 694, 2157, 144, 2520, 276, 562, 180, 27, 6, 1], [2, 0, 32, 237, 321, 739, 2037, 354, 2268, 486, 442, 225, 17, 7, 1], [2, 0, 32, 238, 311, 784, 1917, 564, 2016, 696, 322, 270, 7, 8, 1], [2, 0, 32, 240, 292, 864, 1722, 864, 1722, 864, 292, 240, 32, 0, 2], [2, 0, 32, 241, 282, 909, 1602, 1074, 1470, 1074, 172, 285, 22, 1, 2], [2, 0, 32, 242, 272, 954, 1482, 1284, 1218, 1284, 52, 330, 12, 2, 2], [2, 0, 33, 227, 366, 619, 2247, 102, 2478, 366, 487, 215, 18, 7, 1], [2, 0, 33, 228, 356, 664, 2127, 312, 2226, 576, 367, 260, 8, 8, 1], [2, 0, 33, 230, 337, 744, 1932, 612, 1932, 744, 337, 230, 33, 0, 2], [2, 0, 33, 231, 327, 789, 1812, 822, 1680, 954, 217, 275, 23, 1, 2], [2, 0, 33, 232, 317, 834, 1692, 1032, 1428, 1164, 97, 320, 13, 2, 2], [2, 0, 34, 218, 401, 544, 2337, 60, 2436, 456, 412, 250, 9, 8, 1], [2, 0, 34, 220, 382, 624, 2142, 360, 2142, 624, 382, 220, 34, 0, 2], [2, 0, 34, 221, 372, 669, 2022, 570, 1890, 834, 262, 265, 24, 1, 2], [2, 0, 34, 222, 362, 714, 1902, 780, 1638, 1044, 142, 310, 14, 2, 2], [2, 0, 34, 223, 352, 759, 1782, 990, 1386, 1254, 22, 355, 4, 3, 2], [2, 0, 35, 209, 436, 469, 2427, 18, 2394, 546, 337, 285, 0, 9, 1], [2, 0, 35, 210, 427, 504, 2352, 108, 2352, 504, 427, 210, 35, 0, 2], [2, 0, 35, 211, 417, 549, 2232, 318, 2100, 714, 307, 255, 25, 1, 2], [2, 0, 35, 212, 407, 594, 2112, 528, 1848, 924, 187, 300, 15, 2, 2], [2, 0, 35, 213, 397, 639, 1992, 738, 1596, 1134, 67, 345, 5, 3, 2], [2, 0, 36, 201, 462, 429, 2442, 66, 2310, 594, 352, 245, 26, 1, 2], [2, 0, 36, 202, 452, 474, 2322, 276, 2058, 804, 232, 290, 16, 2, 2], [2, 0, 36, 203, 442, 519, 2202, 486, 1806, 1014, 112, 335, 6, 3, 2], [2, 0, 37, 192, 497, 354, 2532, 24, 2268, 684, 277, 280, 17, 2, 2], [2, 0, 37, 193, 487, 399, 2412, 234, 2016, 894, 157, 325, 7, 3, 2], [2, 1, 16, 335, 0, 1364, 1320, 726, 2442, 33, 792, 91, 36, 10, 0], [2, 1, 17, 326, 35, 1289, 1410, 684, 2400, 123, 717, 126, 27, 11, 0], [2, 1, 17, 327, 25, 1334, 1290, 894, 2148, 333, 597, 171, 17, 12, 0], [2, 1, 17, 327, 26, 1324, 1335, 774, 2358, 81, 807, 51, 62, 2, 1], [2, 1, 17, 328, 15, 1379, 1170, 1104, 1896, 543, 477, 216, 7, 13, 0], [2, 1, 17, 328, 16, 1369, 1215, 984, 2106, 291, 687, 96, 52, 3, 1], [2, 1, 17, 329, 6, 1414, 1095, 1194, 1854, 501, 567, 141, 42, 4, 1], [2, 1, 18, 316, 80, 1169, 1620, 432, 2610, 3, 762, 116, 28, 11, 0], [2, 1, 18, 317, 70, 1214, 1500, 642, 2358, 213, 642, 161, 18, 12, 0], [2, 1, 18, 318, 60, 1259, 1380, 852, 2106, 423, 522, 206, 8, 13, 0], [2, 1, 18, 318, 61, 1249, 1425, 732, 2316, 171, 732, 86, 53, 3, 1], [2, 1, 18, 319, 51, 1294, 1305, 942, 2064, 381, 612, 131, 43, 4, 1], [2, 1, 18, 320, 41, 1339, 1185, 1152, 1812, 591, 492, 176, 33, 5, 1], [2, 1, 18, 321, 31, 1384, 1065, 1362, 1560, 801, 372, 221, 23, 6, 1], [2, 1, 18, 322, 21, 1429, 945, 1572, 1308, 1011, 252, 266, 13, 7, 1], [2, 1, 18, 323, 11, 1474, 825, 1782, 1056, 1221, 132, 311, 3, 8, 1], [2, 1, 19, 307, 115, 1094, 1710, 390, 2568, 93, 687, 151, 19, 12, 0], [2, 1, 19, 308, 105, 1139, 1590, 600, 2316, 303, 567, 196, 9, 13, 0], [2, 1, 19, 308, 106, 1129, 1635, 480, 2526, 51, 777, 76, 54, 3, 1], [2, 1, 19, 309, 96, 1174, 1515, 690, 2274, 261, 657, 121, 44, 4, 1], [2, 1, 19, 310, 86, 1219, 1395, 900, 2022, 471, 537, 166, 34, 5, 1], [2, 1, 19, 311, 76, 1264, 1275, 1110, 1770, 681, 417, 211, 24, 6, 1], [2, 1, 19, 312, 66, 1309, 1155, 1320, 1518, 891, 297, 256, 14, 7, 1], [2, 1, 19, 313, 56, 1354, 1035, 1530, 1266, 1101, 177, 301, 4, 8, 1], [2, 1, 19, 315, 37, 1434, 840, 1830, 972, 1269, 147, 271, 29, 0, 2], [2, 1, 19, 316, 27, 1479, 720, 2040, 720, 1479, 27, 316, 19, 1, 2], [2, 1, 20, 298, 150, 1019, 1800, 348, 2526, 183, 612, 186, 10, 13, 0], [2, 1, 20, 299, 140, 1064, 1680, 558, 2274, 393, 492, 231, 0, 14, 0], [2, 1, 20, 299, 141, 1054, 1725, 438, 2484, 141, 702, 111, 45, 4, 1], [2, 1, 20, 300, 131, 1099, 1605, 648, 2232, 351, 582, 156, 35, 5, 1], [2, 1, 20, 301, 121, 1144, 1485, 858, 1980, 561, 462, 201, 25, 6, 1], [2, 1, 20, 302, 111, 1189, 1365, 1068, 1728, 771, 342, 246, 15, 7, 1], [2, 1, 20, 303, 101, 1234, 1245, 1278, 1476, 981, 222, 291, 5, 8, 1], [2, 1, 20, 305, 82, 1314, 1050, 1578, 1182, 1149, 192, 261, 30, 0, 2], [2, 1, 20, 306, 72, 1359, 930, 1788, 930, 1359, 72, 306, 20, 1, 2], [2, 1, 21, 288, 195, 899, 2010, 96, 2736, 63, 657, 176, 11, 13, 0], [2, 1, 21, 289, 185, 944, 1890, 306, 2484, 273, 537, 221, 1, 14, 0], [2, 1, 21, 289, 186, 934, 1935, 186, 2694, 21, 747, 101, 46, 4, 1], [2, 1, 21, 290, 176, 979, 1815, 396, 2442, 231, 627, 146, 36, 5, 1], [2, 1, 21, 291, 166, 1024, 1695, 606, 2190, 441, 507, 191, 26, 6, 1], [2, 1, 21, 292, 156, 1069, 1575, 816, 1938, 651, 387, 236, 16, 7, 1], [2, 1, 21, 293, 146, 1114, 1455, 1026, 1686, 861, 267, 281, 6, 8, 1], [2, 1, 21, 295, 127, 1194, 1260, 1326, 1392, 1029, 237, 251, 31, 0, 2], [2, 1, 21, 296, 117, 1239, 1140, 1536, 1140, 1239, 117, 296, 21, 1, 2], [2, 1, 22, 279, 230, 824, 2100, 54, 2694, 153, 582, 211, 2, 14, 0], [2, 1, 22, 280, 221, 859, 2025, 144, 2652, 111, 672, 136, 37, 5, 1], [2, 1, 22, 281, 211, 904, 1905, 354, 2400, 321, 552, 181, 27, 6, 1], [2, 1, 22, 282, 201, 949, 1785, 564, 2148, 531, 432, 226, 17, 7, 1], [2, 1, 22, 283, 191, 994, 1665, 774, 1896, 741, 312, 271, 7, 8, 1], [2, 1, 22, 285, 172, 1074, 1470, 1074, 1602, 909, 282, 241, 32, 0, 2], [2, 1, 22, 286, 162, 1119, 1350, 1284, 1350, 1119, 162, 286, 22, 1, 2], [2, 1, 22, 287, 152, 1164, 1230, 1494, 1098, 1329, 42, 331, 12, 2, 2], [2, 1, 23, 271, 256, 784, 2115, 102, 2610, 201, 597, 171, 28, 6, 1], [2, 1, 23, 272, 246, 829, 1995, 312, 2358, 411, 477, 216, 18, 7, 1], [2, 1, 23, 273, 236, 874, 1875, 522, 2106, 621, 357, 261, 8, 8, 1], [2, 1, 23, 275, 217, 954, 1680, 822, 1812, 789, 327, 231, 33, 0, 2], [2, 1, 23, 276, 207, 999, 1560, 1032, 1560, 999, 207, 276, 23, 1, 2], [2, 1, 23, 277, 197, 1044, 1440, 1242, 1308, 1209, 87, 321, 13, 2, 2], [2, 1, 24, 262, 291, 709, 2205, 60, 2568, 291, 522, 206, 19, 7, 1], [2, 1, 24, 263, 281, 754, 2085, 270, 2316, 501, 402, 251, 9, 8, 1], [2, 1, 24, 265, 262, 834, 1890, 570, 2022, 669, 372, 221, 34, 0, 2], [2, 1, 24, 266, 252, 879, 1770, 780, 1770, 879, 252, 266, 24, 1, 2], [2, 1, 24, 267, 242, 924, 1650, 990, 1518, 1089, 132, 311, 14, 2, 2], [2, 1, 24, 268, 232, 969, 1530, 1200, 1266, 1299, 12, 356, 4, 3, 2], [2, 1, 25, 253, 326, 634, 2295, 18, 2526, 381, 447, 241, 10, 8, 1], [2, 1, 25, 254, 316, 679, 2175, 228, 2274, 591, 327, 286, 0, 9, 1], [2, 1, 25, 255, 307, 714, 2100, 318, 2232, 549, 417, 211, 35, 0, 2], [2, 1, 25, 256, 297, 759, 1980, 528, 1980, 759, 297, 256, 25, 1, 2], [2, 1, 25, 257, 287, 804, 1860, 738, 1728, 969, 177, 301, 15, 2, 2], [2, 1, 25, 258, 277, 849, 1740, 948, 1476, 1179, 57, 346, 5, 3, 2], [2, 1, 26, 245, 352, 594, 2310, 66, 2442, 429, 462, 201, 36, 0, 2], [2, 1, 26, 246, 342, 639, 2190, 276, 2190, 639, 342, 246, 26, 1, 2], [2, 1, 26, 247, 332, 684, 2070, 486, 1938, 849, 222, 291, 16, 2, 2], [2, 1, 26, 248, 322, 729, 1950, 696, 1686, 1059, 102, 336, 6, 3, 2], [2, 1, 27, 236, 387, 519, 2400, 24, 2400, 519, 387, 236, 27, 1, 2], [2, 1, 27, 237, 377, 564, 2280, 234, 2148, 729, 267, 281, 17, 2, 2], [2, 1, 27, 238, 367, 609, 2160, 444, 1896, 939, 147, 326, 7, 3, 2], [2, 1, 28, 228, 412, 489, 2370, 192, 2106, 819, 192, 316, 8, 3, 2], [2, 2, 10, 342, 40, 1184, 1668, 348, 2658, 18, 722, 142, 20, 12, 0], [2, 2, 10, 343, 30, 1229, 1548, 558, 2406, 228, 602, 187, 10, 13, 0], [2, 2, 10, 344, 20, 1274, 1428, 768, 2154, 438, 482, 232, 0, 14, 0], [2, 2, 10, 344, 21, 1264, 1473, 648, 2364, 186, 692, 112, 45, 4, 1], [2, 2, 10, 345, 11, 1309, 1353, 858, 2112, 396, 572, 157, 35, 5, 1], [2, 2, 10, 346, 1, 1354, 1233, 1068, 1860, 606, 452, 202, 25, 6, 1], [2, 2, 11, 333, 75, 1109, 1758, 306, 2616, 108, 647, 177, 11, 13, 0], [2, 2, 11, 334, 65, 1154, 1638, 516, 2364, 318, 527, 222, 1, 14, 0], [2, 2, 11, 334, 66, 1144, 1683, 396, 2574, 66, 737, 102, 46, 4, 1], [2, 2, 11, 335, 56, 1189, 1563, 606, 2322, 276, 617, 147, 36, 5, 1], [2, 2, 11, 336, 46, 1234, 1443, 816, 2070, 486, 497, 192, 26, 6, 1], [2, 2, 11, 337, 36, 1279, 1323, 1026, 1818, 696, 377, 237, 16, 7, 1], [2, 2, 11, 338, 26, 1324, 1203, 1236, 1566, 906, 257, 282, 6, 8, 1], [2, 2, 11, 340, 7, 1404, 1008, 1536, 1272, 1074, 227, 252, 31, 0, 2], [2, 2, 12, 324, 110, 1034, 1848, 264, 2574, 198, 572, 212, 2, 14, 0], [2, 2, 12, 325, 101, 1069, 1773, 354, 2532, 156, 662, 137, 37, 5, 1], [2, 2, 12, 326, 91, 1114, 1653, 564, 2280, 366, 542, 182, 27, 6, 1], [2, 2, 12, 327, 81, 1159, 1533, 774, 2028, 576, 422, 227, 17, 7, 1], [2, 2, 12, 328, 71, 1204, 1413, 984, 1776, 786, 302, 272, 7, 8, 1], [2, 2, 12, 330, 52, 1284, 1218, 1284, 1482, 954, 272, 242, 32, 0, 2], [2, 2, 12, 331, 42, 1329, 1098, 1494, 1230, 1164, 152, 287, 22, 1, 2], [2, 2, 12, 332, 32, 1374, 978, 1704, 978, 1374, 32, 332, 12, 2, 2], [2, 2, 13, 314, 155, 914, 2058, 12, 2784, 78, 617, 202, 3, 14, 0], [2, 2, 13, 315, 146, 949, 1983, 102, 2742, 36, 707, 127, 38, 5, 1], [2, 2, 13, 316, 136, 994, 1863, 312, 2490, 246, 587, 172, 28, 6, 1], [2, 2, 13, 317, 126, 1039, 1743, 522, 2238, 456, 467, 217, 18, 7, 1], [2, 2, 13, 318, 116, 1084, 1623, 732, 1986, 666, 347, 262, 8, 8, 1], [2, 2, 13, 320, 97, 1164, 1428, 1032, 1692, 834, 317, 232, 33, 0, 2], [2, 2, 13, 321, 87, 1209, 1308, 1242, 1440, 1044, 197, 277, 23, 1, 2], [2, 2, 13, 322, 77, 1254, 1188, 1452, 1188, 1254, 77, 322, 13, 2, 2], [2, 2, 14, 306, 181, 874, 2073, 60, 2700, 126, 632, 162, 29, 6, 1], [2, 2, 14, 307, 171, 919, 1953, 270, 2448, 336, 512, 207, 19, 7, 1], [2, 2, 14, 308, 161, 964, 1833, 480, 2196, 546, 392, 252, 9, 8, 1], [2, 2, 14, 310, 142, 1044, 1638, 780, 1902, 714, 362, 222, 34, 0, 2], [2, 2, 14, 311, 132, 1089, 1518, 990, 1650, 924, 242, 267, 24, 1, 2], [2, 2, 14, 312, 122, 1134, 1398, 1200, 1398, 1134, 122, 312, 14, 2, 2], [2, 2, 14, 313, 112, 1179, 1278, 1410, 1146, 1344, 2, 357, 4, 3, 2], [2, 2, 15, 297, 216, 799, 2163, 18, 2658, 216, 557, 197, 20, 7, 1], [2, 2, 15, 298, 206, 844, 2043, 228, 2406, 426, 437, 242, 10, 8, 1], [2, 2, 15, 299, 196, 889, 1923, 438, 2154, 636, 317, 287, 0, 9, 1], [2, 2, 15, 300, 187, 924, 1848, 528, 2112, 594, 407, 212, 35, 0, 2], [2, 2, 15, 301, 177, 969, 1728, 738, 1860, 804, 287, 257, 25, 1, 2], [2, 2, 15, 302, 167, 1014, 1608, 948, 1608, 1014, 167, 302, 15, 2, 2], [2, 2, 15, 303, 157, 1059, 1488, 1158, 1356, 1224, 47, 347, 5, 3, 2], [2, 2, 16, 289, 241, 769, 2133, 186, 2364, 516, 362, 277, 1, 9, 1], [2, 2, 16, 290, 232, 804, 2058, 276, 2322, 474, 452, 202, 36, 0, 2], [2, 2, 16, 291, 222, 849, 1938, 486, 2070, 684, 332, 247, 26, 1, 2], [2, 2, 16, 292, 212, 894, 1818, 696, 1818, 894, 212, 292, 16, 2, 2], [2, 2, 16, 293, 202, 939, 1698, 906, 1566, 1104, 92, 337, 6, 3, 2], [2, 2, 17, 280, 277, 684, 2268, 24, 2532, 354, 497, 192, 37, 0, 2], [2, 2, 17, 281, 267, 729, 2148, 234, 2280, 564, 377, 237, 27, 1, 2], [2, 2, 17, 282, 257, 774, 2028, 444, 2028, 774, 257, 282, 17, 2, 2], [2, 2, 17, 283, 247, 819, 1908, 654, 1776, 984, 137, 327, 7, 3, 2], [2, 2, 18, 272, 302, 654, 2238, 192, 2238, 654, 302, 272, 18, 2, 2], [2, 2, 18, 273, 292, 699, 2118, 402, 1986, 864, 182, 317, 8, 3, 2], [2, 2, 19, 263, 337, 579, 2328, 150, 2196, 744, 227, 307, 9, 3, 2], [2, 2, 20, 254, 372, 504, 2418, 108, 2154, 834, 152, 342, 0, 4, 2], [2, 3, 2, 368, 0, 1199, 1716, 264, 2706, 33, 682, 168, 12, 13, 0], [2, 3, 3, 359, 35, 1124, 1806, 222, 2664, 123, 607, 203, 3, 14, 0], [2, 3, 3, 360, 26, 1159, 1731, 312, 2622, 81, 697, 128, 38, 5, 1], [2, 3, 3, 361, 16, 1204, 1611, 522, 2370, 291, 577, 173, 28, 6, 1], [2, 3, 3, 362, 6, 1249, 1491, 732, 2118, 501, 457, 218, 18, 7, 1], [2, 3, 4, 351, 61, 1084, 1821, 270, 2580, 171, 622, 163, 29, 6, 1], [2, 3, 4, 352, 51, 1129, 1701, 480, 2328, 381, 502, 208, 19, 7, 1], [2, 3, 4, 353, 41, 1174, 1581, 690, 2076, 591, 382, 253, 9, 8, 1], [2, 3, 4, 355, 22, 1254, 1386, 990, 1782, 759, 352, 223, 34, 0, 2], [2, 3, 4, 356, 12, 1299, 1266, 1200, 1530, 969, 232, 268, 24, 1, 2], [2, 3, 4, 357, 2, 1344, 1146, 1410, 1278, 1179, 112, 313, 14, 2, 2], [2, 3, 5, 341, 106, 964, 2031, 18, 2790, 51, 667, 153, 30, 6, 1], [2, 3, 5, 342, 96, 1009, 1911, 228, 2538, 261, 547, 198, 20, 7, 1], [2, 3, 5, 343, 86, 1054, 1791, 438, 2286, 471, 427, 243, 10, 8, 1], [2, 3, 5, 344, 76, 1099, 1671, 648, 2034, 681, 307, 288, 0, 9, 1], [2, 3, 5, 345, 67, 1134, 1596, 738, 1992, 639, 397, 213, 35, 0, 2], [2, 3, 5, 346, 57, 1179, 1476, 948, 1740, 849, 277, 258, 25, 1, 2], [2, 3, 5, 347, 47, 1224, 1356, 1158, 1488, 1059, 157, 303, 15, 2, 2], [2, 3, 5, 348, 37, 1269, 1236, 1368, 1236, 1269, 37, 348, 5, 3, 2], [2, 3, 6, 333, 131, 934, 2001, 186, 2496, 351, 472, 233, 11, 8, 1], [2, 3, 6, 334, 121, 979, 1881, 396, 2244, 561, 352, 278, 1, 9, 1], [2, 3, 6, 335, 112, 1014, 1806, 486, 2202, 519, 442, 203, 36, 0, 2], [2, 3, 6, 336, 102, 1059, 1686, 696, 1950, 729, 322, 248, 26, 1, 2], [2, 3, 6, 337, 92, 1104, 1566, 906, 1698, 939, 202, 293, 16, 2, 2], [2, 3, 6, 338, 82, 1149, 1446, 1116, 1446, 1149, 82, 338, 6, 3, 2], [2, 3, 7, 324, 166, 859, 2091, 144, 2454, 441, 397, 268, 2, 9, 1], [2, 3, 7, 325, 157, 894, 2016, 234, 2412, 399, 487, 193, 37, 0, 2], [2, 3, 7, 326, 147, 939, 1896, 444, 2160, 609, 367, 238, 27, 1, 2], [2, 3, 7, 327, 137, 984, 1776, 654, 1908, 819, 247, 283, 17, 2, 2], [2, 3, 7, 328, 127, 1029, 1656, 864, 1656, 1029, 127, 328, 7, 3, 2], [2, 3, 8, 316, 192, 819, 2106, 192, 2370, 489, 412, 228, 28, 1, 2], [2, 3, 8, 317, 182, 864, 1986, 402, 2118, 699, 292, 273, 18, 2, 2], [2, 3, 8, 318, 172, 909, 1866, 612, 1866, 909, 172, 318, 8, 3, 2], [2, 3, 9, 307, 227, 744, 2196, 150, 2328, 579, 337, 263, 19, 2, 2], [2, 3, 9, 308, 217, 789, 2076, 360, 2076, 789, 217, 308, 9, 3, 2], [2, 3, 10, 298, 262, 669, 2286, 108, 2286, 669, 262, 298, 10, 3, 2], [2, 3, 10, 299, 252, 714, 2166, 318, 2034, 879, 142, 343, 0, 4, 2], [2, 3, 11, 289, 297, 594, 2376, 66, 2244, 759, 187, 333, 1, 4, 2], [2, 4, 0, 342, 152, 834, 2154, 108, 2418, 504, 372, 254, 20, 2, 2], [2, 4, 0, 343, 142, 879, 2034, 318, 2166, 714, 252, 299, 10, 3, 2], [2, 4, 0, 344, 132, 924, 1914, 528, 1914, 924, 132, 344, 0, 4, 2], [2, 4, 1, 333, 187, 759, 2244, 66, 2376, 594, 297, 289, 11, 3, 2], [2, 4, 1, 334, 177, 804, 2124, 276, 2124, 804, 177, 334, 1, 4, 2], [2, 4, 2, 324, 222, 684, 2334, 24, 2334, 684, 222, 324, 2, 4, 2]}