Search is not available for this dataset
input_ids
sequencelengths
1.02k
1.02k
[ 1, 1598, 651, 1833, 953, 1153, 2856, 1584, 1060, 37, 1259, 3809, 2323, 17929, 21621, 15423, 2323, 24956, 68, 6144, 926, 9025, 28, 21091, 82, 18180, 9740, 16, 79, 8831, 72, 10172, 16, 2693, 17, 86, 471, 632, 16, 3589, 82, 33, 91, 22654, 69, 76, 20876, 16630, 80, 70, 926, 71, 544, 4031, 1484, 22711, 77, 2323, 74, 9273, 82, 18180, 9740, 16, 79, 8831, 72, 10172, 16, 2693, 17, 86, 471, 632, 16, 3589, 82, 33, 80, 86, 73, 92, 75, 1446, 75, 74, 76, 74, 704, 10815, 873, 2323, 2685, 15578, 448, 2209, 442, 1584, 2066, 1060, 37, 1941, 1259, 849, 2636, 1259, 1071, 342, 529, 445, 3786, 632, 1833, 953, 2393, 2822, 640, 8763, 79, 13599, 2026, 640, 1768, 1671, 1060, 37, 1941, 1259, 16, 4732, 415, 1671, 1060, 37, 1259, 3809, 500, 370, 442, 397, 1459, 3963, 2605, 8763, 79, 13599, 1357, 1268, 16, 3080, 529, 445, 665, 782, 4041, 3786, 632, 2323, 74, 9273, 82, 18180, 9740, 16, 10018, 4727, 68, 10738, 16, 9826, 17, 298, 19845, 16, 3589, 82, 33, 10602, 31, 40, 20815, 704, 17929, 1525, 740, 342, 511, 454, 10387, 1185, 1667, 2500, 1587, 70, 2861, 932, 649, 879, 2424, 3540, 993, 940, 14, 9400, 529, 445, 649, 370, 479, 1148, 953, 4918, 1694, 4041, 3786, 632, 1459, 3963, 2605, 2448, 1819, 79, 13599, 1854, 1357, 2026, 615, 1060, 37, 368, 790, 1248, 1706, 803, 16, 1467, 1584, 1768, 397, 651, 1671, 1060, 37, 740, 2417, 529, 445, 665, 509, 564, 3786, 632, 16, 15, 8637, 415, 532, 370, 479, 1748, 82, 91, 1391, 1553, 19861, 551, 1525, 2397, 951, 5294, 2085, 4635, 1459, 3963, 10798, 10885, 1219, 315, 1525, 740, 4041, 665, 2024, 1455, 1949, 2066, 1060, 37, 1259, 3809, 368, 1248, 1706, 638, 19893, 1975, 1233, 782, 342, 10387, 1042, 1211, 1649, 1212, 2214, 5594, 74, 9273, 82, 18180, 1921, 85, 16, 8292, 70, 2188, 1068, 16, 13942, 17, 2185, 1094, 16, 3589, 82, 33, 86, 1446, 31, 973, 2602, 3972, 7218, 1233, 2323, 1467, 397, 2190, 1919, 1060, 37, 1941, 1259, 3902, 368, 8786, 1245, 1268, 4844, 1187, 572, 17746, 388, 8660, 5429, 5530, 8763, 79, 13599, 415, 532, 370, 479, 637, 1640, 1091, 760, 41, 1154, 657, 1187, 2209, 1134, 665, 1421, 84, 1992, 4965, 665, 1286, 3746, 951, 1053, 2209, 1187, 1502, 16, 13680, 1742, 19861, 21621, 15423, 1459, 3963, 2393, 2822, 640, 8763, 79, 13599, 2026, 615, 1319, 567, 415, 415, 1671, 1060, 37, 1941, 1259, 4267, 2019, 1053, 1181, 6242, 1391, 797, 761, 448, 442, 803, 2743, 2362, 2052, 640, 2323, 19, 11, 1219, 14832, 261, 523, 1039, 427, 8830, 13082, 90, 2323, 74, 9273, 82, 18180, 20246, 7964, 1068, 87, 4970, 14312, 16, 18141, 17, 2343, 807, 5860, 17, 74, 86, 14852, 835, 74, 70, 17, 2336, 79, 13082, 90, 16, 84, 654, 20, 11, 5134, 69, 807, 2323, 611, 55, 27, 24808, 17, 20799, 24, 3164, 58, 17, 20799, 27, 2490, 19, 17, 20799, 27, 2490, 23, 17, 20799, 3950, 1118, 5134, 69, 807, 47, 2444, 9273, 82, 18180, 20246, 7964, 1068, 87, 4970, 14312, 16, 18141, 17, 78, 83, 88, 2804, 17, 70, 8211, 15423, 17, 5134, 69, 807, 16, 84, 654, 21, 11, 22732, 8862, 1061, 546, 2323, 74, 9273, 82, 18180, 1291, 67, 16, 2262, 1061, 546, 16, 2693, 17, 1291, 17, 8270, 2993, 3796, 17, 298, 19845, 16, 74, 86, 79, 74, 9273, 82, 18180, 78, 83, 88, 2804, 16, 2693, 17, 70, 8211, 15423, 17, 10221, 17, 22, 11, 926, 315, 4175, 312, 81, 21091, 82, 18180, 79, 17281, 16, 948, 1118, 16, 2693, 17, 72, 5298, 17, 53, 52, 19, 37, 43, 20, 46, 40, 17, 23, 11, 20842, 79, 998, 878, 638, 7330, 271, 82, 21, 5594, 21091, 82, 18180, 79, 17281, 16, 948, 1118, 16, 2693, 17, 72, 5298, 17, 1851, 38, 2704, 22, 57, 23, 17, 50, 17, 85, 2323, 4293, 482, 660, 734, 1327, 1599, 572, 442, 388, 8660, 2026, 615, 2066, 1060, 37, 1259, 3809, 368, 790, 1248, 1706, 803, 823, 22212, 1091, 2416, 740, 4041, 1459, 1199, 17102, 2445, 4415, 654, 441, 16, 5297, 2209, 1187, 2209, 442, 5819, 509, 649, 798, 12738, 849, 56, 43, 5594, 15824, 2050, 993, 940, 521, 388, 8660, 3786, 640, 8763, 79, 13599, 615, 1060, 37, 1259, 3809, 368, 13252, 884, 657, 415, 532, 766, 2393, 2822, 632, 2323, 19, 11, 5297, 733, 795, 16485, 2632, 953, 511, 1459, 3963, 4086, 1869, 640, 8763, 79, 13599, 450, 1060, 37, 1941, 1259, 570, 12210, 3216, 58, 368, 5363, 1430, 1512, 570, 58, 75, 483, 14765, 503, 43, 16, 3428, 490, 2362, 4055, 9240, 1788, 683, 364, 454, 906, 1988, 1035, 804, 692, 2026, 615, 15252, 68, 368, 1919, 1769, 529, 445, 2323, 10295, 409, 733, 21722, 441, 5294, 2190, 1239, 1035, 3367, 86, 985, 4844, 370, 15252, 68, 4041, 20560, 16, 15, 2488, 1319, 567, 879, 797, 415, 1671, 1060, 37, 1941, 1259, 1211, 1815, 1053, 489, 1756, 1574, 370, 2182, 797, 388, 8660, 1576, 1659, 640, 8763, 79, 13599, 2026, 615, 458, 1587, 14334, 1768, 388, 8660, 823, 1319, 567, 1941, 2723, 489, 1892, 1608, 1334, 2247, 2086, 1053, 728, 1403, 14, 20729, 4844, 479, 6070, 1559, 1675, 1768, 388, 8660, 511, 442, 1743, 8910, 1388, 342, 529, 445, 4274, 442, 521, 2461, 977, 1015, 564, 993, 940, 17746, 388, 8660, 509, 342, 2323, 15, 14399, 656, 20838, 15423, 511, 388, 8660, 632, 757, 1510, 415, 532, 4415, 654, 441, 445, 68, 570, 6625, 1491, 1134, 570, 309, 3637, 1259, 3582, 2371, 1110, 651, 2515, 2075, 1584, 368, 1919, 1060, 37, 1265, 1362, 2203, 640, 665, 16, 15, 2685, 2636, 740, 415, 532, 665, 445, 68, 5092, 418, 24956, 68, 16, 15, 10815, 551, 757, 1940, 529, 445, 733, 8766, 5766, 665, 445, 68, 2467, 3197, 342, 1722, 804, 16, 17297, 1287, 3422, 262, 4002, 1672, 720, 665, 1649, 1675, 1057, 1248, 1706, 1327, 1187, 1645, 2515, 16, 15, 2685, 1613, 2605, 5007, 2448, 1819, 79, 13599, 1287, 757, 615, 15252, 68, 529, 445, 17495, 15252, 68, 572, 849, 11686, 665, 640, 16, 15, 4433, 640, 415, 532, 500, 798, 3438, 1460, 15252, 68, 803, 5643, 314, 1743 ]
[ 1, 8540, 13042, 1592, 7507, 8404, 489, 409, 2561, 1259, 655, 1220, 3273, 807, 81, 7507, 8404, 1053, 409, 2561, 1259, 7507, 8404, 489, 409, 2561, 1259, 846, 3877, 3894, 1484, 5909, 37, 7507, 1484, 2232, 45, 48, 48, 7507, 461, 39, 7028, 7507, 1312, 17720, 7507, 1484, 5909, 37, 7507, 1060, 7213, 7507, 461, 9091, 7507, 461, 7028, 450, 6727, 567, 415, 1642, 2620, 8404, 1053, 409, 2561, 1259, 655, 1220, 3273, 807, 81, 6059, 17, 642, 2963, 1042, 901, 795, 19219, 15, 2971, 1060, 11093, 8873, 41, 52, 6401, 15, 388, 8631, 11665, 52, 6401, 15, 528, 49, 260, 117, 37, 223, 175, 256, 250, 236, 175, 256, 240, 122, 335, 238, 1835, 227, 12044, 240, 3069, 979, 4503, 6372, 69, 21600, 279, 3655, 352, 1287, 757, 1838, 2742, 1042, 638, 18402, 409, 454, 1146, 906, 2134, 1592, 2227, 3037, 3357, 7, 768, 17454, 490, 500, 1502, 532, 2952, 442, 2105, 1840, 368, 803, 16, 223, 175, 256, 242, 234, 13575, 302, 424, 5516, 7737, 1592, 342, 5478, 4727, 4227, 223, 175, 256, 250, 227, 223, 175, 256, 242, 234, 175, 256, 243, 108, 2156, 342, 3354, 901, 274, 4420, 282, 9160, 489, 409, 16, 2978, 445, 370, 479, 901, 1716, 352, 1831, 370, 934, 1534, 1053, 1403, 14, 2111, 1849, 368, 2569, 1211, 3118, 450, 738, 901, 1716, 342, 814, 1849, 4450, 761, 637, 1324, 236, 6907, 22340, 615, 1230, 3, 2978, 409, 993, 940, 986, 1081, 649, 564, 1703, 646, 1716, 1781, 5145, 932, 14, 1977, 2706, 720, 2986, 3632, 450, 3354, 1153, 2561, 1259, 5394, 901, 490, 740, 1834, 49, 55, 54, 55, 16834, 489, 409, 16, 388, 19727, 427, 6444, 461, 4262, 109, 3737, 619, 8337, 225, 55, 4441, 241, 54, 10935, 19727, 7688, 49, 738, 901, 368, 532, 16, 1592, 377, 2202, 1194, 454, 1095, 1314, 901, 14, 884, 454, 1042, 1559, 4218, 14, 409, 2986, 3632, 1502, 4019, 521, 436, 979, 2733, 2054, 1134, 814, 635, 509, 728, 16, 223, 175, 256, 242, 234, 926, 998, 68, 1792, 11496, 1904, 85, 28, 704, 3, 11761, 2411, 3, 2467, 3197, 3, 795, 4987, 3, 655, 6621, 85, 3, 17480, 3, 7384, 3834, 3, 17480, 286, 20678, 3, 519, 13910, 3, 1872, 8787, 223, 175, 256, 242, 233, 223, 175, 256, 245, 115, 13359, 51, 85, 223, 175, 256, 242, 234, 4293, 766, 901, 564, 571, 635, 33, 13196, 1840, 368, 409, 342, 1484, 5909, 37, 1060, 7213, 884, 940, 846, 409, 766, 2706, 720, 450, 1484, 5909, 43, 266, 80, 70, 1484, 15272, 7908, 223, 175, 256, 242, 234, 4293, 615, 637, 1303, 33, 23894, 14, 3877, 3894, 16, 223, 175, 256, 242, 234, 5643, 12787, 427, 15089, 18693, 227, 7833, 6401, 760, 7659, 15034, 22655, 388, 20350, 33, 223, 175, 256, 242, 234, 8404, 1244, 1747, 903, 1484, 5909, 37, 14, 901, 1244, 570, 18685, 14, 901, 1244, 5276, 2963, 1312, 17720, 14, 461, 39, 7028, 14, 7688, 12820, 14, 427, 41, 46, 14, 427, 36, 5150, 14, 1319, 567, 901, 1244, 766, 1071, 901, 1316, 1642, 1671, 3813, 901, 1134, 1642, 2620, 734, 16, 223, 175, 256, 244, 231, 46, 259, 235, 6759, 8981, 14261, 7197, 19138, 22655, 643, 259, 235, 6759, 11085, 4262, 233, 15839, 1858, 16329, 511, 4864, 255, 253, 1905, 28, 559, 1788, 1567, 1997, 28, 507, 1788, 4845, 1800, 2832, 1559, 4218, 681, 3198, 873, 4864, 255, 253, 1997, 28, 1092, 1788, 1567, 1800, 28, 642, 1788, 4845, 1800, 2832, 3467, 1559, 4218, 681, 3198, 1146, 4864, 255, 253, 1800, 28, 474, 1788, 1567, 3291, 28, 759, 1788, 4845, 1800, 2832, 3467, 1559, 4218, 10423, 1989, 1421, 2963, 28, 559, 4430, 1567, 511, 28, 507, 4430, 4845, 3467, 1800, 2832, 10423, 1989, 1444, 9851, 28, 1092, 4430, 1567, 873, 28, 474, 4430, 4845, 1800, 2832, 3467, 1559, 4218, 10423, 1989, 1787, 873, 28, 507, 4430, 1567, 1421, 28, 559, 4430, 4845, 1800, 2832, 3467, 1559, 4218, 681, 3198, 1905, 1421, 28, 642, 4430, 1567, 1444, 28, 1092, 4430, 4845, 847, 9318, 12314, 54, 570, 5451, 3737, 638, 1970, 1081, 11, 681, 3198, 1997, 1787, 28, 559, 2158, 1567, 1905, 28, 507, 2158, 681, 3198, 2277, 15, 20537, 28, 1092, 4430, 1567, 17916, 28, 642, 2158, 223, 175, 256, 242, 234, 15, 10977, 227, 4492, 247, 8981, 259, 98, 11085, 42, 43, 16903, 5388, 104, 55, 21171, 388, 20350, 28, 1567, 856, 1098, 4925, 1567, 13569, 75, 1567, 223, 2682, 3171, 68, 74, 654, 998, 14455, 3884, 2907, 867, 7320, 657, 409, 766, 1148, 953, 1483, 1306, 564, 2203, 6118, 655, 14972, 308, 638, 3464, 1371, 1057, 873, 11, 1567, 1326, 2090, 4584, 1239, 482, 4400, 657, 409, 766, 1148, 953, 6118, 13357, 5409, 3291, 16448, 847, 1952, 489, 14046, 6118, 503, 19, 638, 14301, 15, 8937, 4845, 10371, 934, 14, 23088, 9096, 11, 1567, 1689, 2023, 377, 1314, 638, 3464, 1371, 1057, 1146, 11, 1567, 271, 1084, 223, 175, 256, 244, 251, 4588, 4147, 1742, 1479, 1376, 1105, 1183, 511, 16, 1060, 77, 2188, 566, 28, 10834, 2712, 368, 436, 2829, 28, 873, 16, 4722, 1642, 10268, 28, 1146, 16, 3816, 644, 5828, 6727, 567, 28, 12174, 1376, 3636, 644, 368, 532, 7737, 12174, 1376, 1105, 1183, 368, 532, 3, 2323, 1421, 16, 2111, 1849, 368, 6289, 1387, 28, 1444, 16, 3623, 2565, 5721, 28, 1787, 16, 8340, 901, 2661, 1170, 1383, 1858, 28, 1905, 16, 920, 564, 3742, 4828, 646, 3911, 10202, 3183, 3590, 1248, 3118, 450, 1244, 1121, 28, 352, 223, 175, 256, 244, 251, 427, 779, 1742, 1265, 1357, 368, 409, 450, 1484, 5909, 37, 655, 2185, 82, 5404, 90, 79, 2877, 418, 1970, 19677, 1248, 1057, 1787, 28, 8824, 4267, 1567, 13845, 1148, 940, 1520, 28, 11757, 308, 461, 1094, 87, 643, 15620, 3291, 13845, 1148, 28, 11603, 5330, 1567, 643, 2891, 17083, 28, 11841, 1245, 1567, 3837, 6674, 654, 1060, 7213, 28, 9845, 1170, 1567, 461, 37, 5758, 54, 643, 15620, 3291, 352, 2963, 28, 9845, 1170, 1567, 760, 37, 7684, 414, 28, 8075, 1248, 951, 28, 1420, 8758, 8075, 1248, 951, 28, 3751, 1200, 461, 37, 5758, 54, 28, 3877, 3894, 3183, 3270, 951, 660, 1069, 28, 13794, 2075, 352, 4801, 1868, 1567, 461, 1068 ]
[ 1, 1758, 3898, 14, 1690, 3898, 28, 9128, 1514, 1842, 14, 1431, 1514, 3900, 16, 7369, 86, 28, 20180, 3442, 16, 2615, 1866, 14, 1690, 1866, 28, 388, 590, 6196, 1842, 14, 262, 590, 6196, 3900, 16, 1219, 855, 28, 388, 590, 3442, 16, 2615, 2906, 14, 1690, 2906, 28, 5343, 1514, 1842, 14, 2906, 1514, 3900, 16, 11928, 2906, 28, 5343, 3442, 16, 2615, 2906, 14, 1690, 2906, 1507, 849, 823, 13452, 28, 5343, 1514, 5084, 14, 2906, 1514, 2999, 16, 11928, 13452, 342, 28, 5343, 3442, 16, 11928, 3582, 4275, 13452, 342, 28, 619, 5425, 3442, 638, 69, 1555, 87, 2906, 2134, 2615, 3009, 14, 1690, 3009, 28, 6823, 1514, 1842, 14, 3009, 1514, 3900, 638, 18360, 1601, 342, 3009, 692, 14, 3009, 1690, 2134, 2615, 3009, 14, 1690, 3009, 1507, 849, 823, 13452, 28, 6823, 2895, 5084, 14, 3009, 1514, 2999, 16, 11928, 3009, 28, 6823, 3442, 16, 2615, 2906, 3285, 14, 1690, 2906, 3285, 28, 23165, 1514, 1842, 14, 3537, 1514, 3900, 16, 2615, 2906, 3285, 14, 1690, 2906, 3285, 1507, 849, 823, 13452, 28, 23165, 1514, 5084, 14, 3537, 1514, 2999, 16, 11928, 2906, 19925, 28, 14219, 941, 1200, 16, 6673, 1798, 1507, 849, 823, 13452, 28, 22433, 5084, 14, 17687, 2999, 16, 6673, 1507, 849, 823, 724, 1079, 13452, 342, 28, 3425, 2036, 14, 821, 941, 638, 10349, 2036, 28, 724, 2464, 14, 821, 941, 28, 724, 2007, 2134, 6019, 1507, 849, 823, 724, 1079, 13452, 342, 28, 5071, 2036, 14, 1254, 941, 16, 6673, 1798, 1286, 1507, 1675, 823, 724, 1079, 13452, 342, 28, 3425, 1254, 2036, 14, 821, 1254, 941, 16, 6673, 11681, 28, 17064, 1842, 16, 6673, 4921, 841, 28, 14083, 1842, 16, 6673, 5285, 28, 795, 3448, 1842, 16, 6673, 4019, 757, 28, 18022, 1842, 16, 3193, 2464, 1199, 638, 6135, 567, 14, 724, 1057, 1108, 7325, 13411, 2036, 14, 2224, 3917, 16, 3193, 2007, 1199, 28, 13411, 941, 16, 3193, 1953, 16, 7755, 3917, 14, 1057, 941, 16, 3193, 730, 1451, 638, 15062, 7325, 6579, 3917, 14, 23419, 3917, 16, 17902, 28, 3367, 941, 14, 23419, 941, 16, 6019, 11681, 28, 570, 670, 3900, 14, 637, 3900, 16, 6019, 4921, 841, 28, 14083, 3900, 28, 3193, 368, 1690, 3285, 1919, 4261, 3285, 1199, 368, 2584, 342, 1209, 1108, 28, 619, 5425, 3900, 16, 6019, 5285, 28, 795, 3448, 3900, 16, 6019, 370, 4031, 728, 28, 10683, 3900, 16, 503, 333, 1919, 14, 2514, 3285, 2066, 368, 2584, 28, 7755, 3900, 16, 6019, 720, 2584, 637, 1640, 28, 21180, 3900, 16, 6601, 14846, 28, 1196, 1405, 3900, 16, 13706, 14, 2918, 3285, 28, 3258, 1078, 3537, 14, 10595, 3537, 16, 11928, 19925, 28, 619, 866, 941, 1200, 16, 13706, 14, 2918, 11681, 28, 3258, 1078, 1842, 14, 10595, 1842, 16, 20878, 368, 2593, 28, 986, 1870, 14, 19230, 16, 11928, 368, 2593, 352, 2918, 14, 1079, 13452, 342, 2906, 265, 866, 16, 6673, 4031, 28, 4735, 1842, 16, 795, 1402, 1199, 28, 13411, 2514, 16, 795, 1402, 1057, 28, 7755, 2514, 16, 795, 1402, 730, 1451, 28, 6579, 2514, 16, 6673, 3285, 638, 85, 3035, 7325, 23165, 1842, 14, 638, 441, 588, 7325, 6823, 5084, 16, 6019, 3285, 638, 85, 3035, 7325, 23165, 3900, 14, 638, 441, 588, 7325, 6823, 2999, 16, 1021, 2093, 28, 19729, 16, 12975, 14, 972, 2007, 368, 2584, 14, 445, 4261, 1308, 821, 28, 17064, 821, 16, 3495, 1079, 13452, 342, 28, 5343, 265, 866, 16, 2471, 3380, 368, 821, 28, 795, 1018, 638, 1907, 296, 1018, 14, 3442, 296, 1018, 2134, 2471, 3380, 368, 12855, 28, 795, 1018, 638, 16957, 296, 1018, 14, 2361, 296, 1018, 2134, 5469, 14, 514, 99, 28, 20977, 1842, 14, 6394, 3900, 16, 503, 6564, 897, 1601, 342, 28, 427, 1013, 16, 6306, 445, 1079, 13452, 342, 28, 570, 670, 3442, 16, 5469, 3285, 28, 20977, 3537, 16, 11928, 19925, 28, 570, 670, 1200, 16, 20878, 28, 1219, 2377, 1441, 14, 3285, 1507, 849, 28, 388, 1506, 16, 3495, 1079, 13452, 28, 16747, 5277, 14, 681, 956, 13451, 16, 20878, 2066, 28, 7755, 1495, 14, 18076, 3181, 16, 20878, 1199, 28, 23889, 268, 3181, 16, 20878, 1015, 638, 88, 6564, 1507, 849, 5585, 3285, 728, 7325, 14083, 3181, 16, 1477, 11681, 28, 519, 604, 7052, 16, 3282, 2464, 28, 519, 604, 5770, 638, 18360, 1601, 28, 1689, 333, 5770, 2134, 3282, 2007, 28, 519, 604, 12959, 638, 18360, 1601, 28, 1689, 333, 12959, 2134, 12975, 11681, 28, 519, 604, 2999, 16, 1477, 19925, 28, 388, 4066, 296, 1018, 16, 3282, 19925, 28, 12328, 1226, 296, 1018, 16, 1477, 19925, 28, 388, 4066, 5277, 16, 3282, 19925, 28, 12328, 1226, 296, 1018, 14, 897, 1601, 28, 5044, 6170, 5770, 16, 12975, 11082, 28, 4441, 99, 1842, 14, 388, 2983, 14, 1134, 22887, 2036, 16, 3282, 11082, 28, 20304, 1842, 14, 20304, 2514, 16, 12975, 4031, 28, 2799, 821, 16, 3282, 4031, 28, 7291, 821, 16, 1477, 4031, 28, 16212, 7052, 28, 2799, 10595, 16, 3282, 4031, 28, 16212, 5770, 14, 7291, 2866, 16, 12975, 3285, 28, 2799, 2616, 16, 3282, 3285, 638, 73, 868, 7325, 7291, 2616, 2036, 14, 17958, 12959, 16, 1477, 3285, 28, 17958, 7052, 28, 2799, 6394, 28, 6823, 7052, 16, 3282, 3285, 638, 15062, 7325, 17958, 5770, 14, 7291, 6394, 2036, 16, 3193, 2007, 448, 370, 4031, 28, 10683, 941, 16, 3193, 2007, 1327, 370, 4031, 28, 570, 561, 941, 16, 6673, 4921, 841, 14, 724, 1079, 13452, 28, 1219, 935, 2036, 16, 10508, 2464, 28, 18022, 21252, 16, 10508, 2007, 28, 18022, 5805, 16, 6673, 1507, 1037, 14, 1015, 703, 2906, 1507, 14, 3442, 724, 368, 2224, 2036, 2625, 564, 10950, 14, 1601, 342, 28, 619, 5425, 3442, 4552, 1388, 16, 6673, 14, 1798, 1507, 1327, 9093, 28, 14303, 1842, 14, 1866, 3900, 16, 6673, 14, 1798, 1507, 448, 9093, 28, 528, 1081, 5084, 14, 5194, 2999, 16, 12303, 1507, 28, 8297, 16, 9570, 9093, 28, 624, 414, 16, 1477, 972, 2593, 2918, 11681, 489, 2584, 803, 28, 9527, 10595, 14, 1553, 2866, 14, 1553, 821, 14, 803, 1079, 13452, 342, 28, 9527, 3442, 16, 1477, 972, 532, 489, 2584, 803, 28, 24628, 10595, 14, 3367, 2866, 14, 274 ]
[ 1, 12577, 9456, 489, 1667, 5646, 2779, 632, 2805, 14, 1053, 489, 3573, 7680, 358, 2115, 740, 2779, 500, 1502, 532, 2001, 9456, 6640, 5055, 489, 2856, 2589, 1079, 1257, 368, 5646, 2779, 14, 2856, 2589, 2729, 993, 500, 1599, 532, 665, 5257, 2640, 5769, 16, 2640, 3370, 748, 14, 2640, 2139, 748, 16, 2001, 9456, 656, 2960, 1742, 14, 2001, 9456, 656, 3467, 8508, 14, 10788, 2779, 16, 7680, 7802, 14, 10788, 2779, 632, 2805, 879, 6527, 9544, 14, 5776, 5988, 607, 2640, 489, 3573, 7680, 740, 2779, 14, 16329, 489, 3573, 7680, 14, 2640, 489, 2779, 14, 2960, 1742, 489, 2779, 14, 2640, 489, 2779, 14, 2001, 9456, 489, 4298, 13657, 2589, 2424, 2640, 14, 950, 1552, 7680, 358, 2115, 740, 2779, 14, 489, 1667, 5646, 2779, 12205, 632, 20674, 820, 79, 14, 2001, 9456, 14, 814, 1474, 2080, 1737, 2640, 1308, 2938, 3319, 1257, 14, 1502, 4376, 1308, 2480, 2409, 14, 19194, 11904, 2480, 2409, 352, 1383, 5070, 532, 656, 10788, 1424, 2779, 567, 14, 3319, 1257, 16, 3239, 223, 7249, 109, 223, 17149, 223, 7249, 104, 14458, 223, 7249, 109, 223, 1636, 225, 7650, 223, 7249, 103, 223, 5010, 106, 223, 5010, 105, 223, 5010, 228, 223, 13181, 110, 223, 13181, 120, 223, 7249, 250, 223, 13181, 236, 14, 223, 824, 240, 223, 13181, 229, 223, 7249, 236, 223, 7249, 106, 223, 7249, 109, 21721, 223, 7249, 109, 223, 7249, 109, 223, 1943, 223, 7249, 103, 8331, 223, 7969, 223, 7249, 107, 223, 7249, 103, 223, 7249, 109, 223, 7969, 223, 7249, 107, 223, 5010, 106, 223, 13181, 120, 223, 7249, 103, 16, 854, 9601, 223, 7249, 109, 223, 1943, 223, 7249, 103, 223, 6362, 223, 13181, 235, 223, 7249, 107, 223, 7249, 100, 223, 7249, 240, 223, 7249, 244, 223, 7249, 104, 223, 7249, 237, 223, 7249, 103, 223, 7249, 238, 223, 7249, 125, 223, 7249, 250, 16, 13181, 233, 223, 13181, 235, 223, 2418, 223, 7249, 240, 223, 6362, 223, 13181, 235, 14, 223, 13181, 233, 223, 13181, 235, 223, 2216, 223, 7249, 240, 223, 6362, 223, 13181, 235, 14, 223, 5010, 106, 223, 5010, 105, 223, 5010, 228, 223, 13181, 110, 223, 13181, 120, 223, 7249, 248, 223, 7249, 106, 223, 7249, 237, 223, 13181, 234, 223, 763, 258, 223, 4613, 14, 11314, 223, 13181, 234, 223, 7249, 236, 223, 7249, 106, 223, 6931, 14, 14458, 223, 7249, 109, 223, 525, 121, 223, 13181, 226, 16, 1636, 225, 7650, 14, 223, 3239, 223, 7249, 109, 14458, 223, 13181, 243, 18523, 223, 13181, 236, 223, 7249, 109, 223, 7249, 110, 223, 7249, 104, 223, 7249, 102, 223, 13181, 227, 223, 5010, 255, 223, 5010, 114, 223, 5010, 226, 223, 5010, 228, 223, 13181, 110, 223, 7249, 103, 7650, 223, 1020, 223, 7249, 236, 223, 6362, 223, 13181, 236, 223, 7249, 256, 223, 13181, 226, 223, 7249, 107, 223, 5010, 105, 223, 13181, 243, 1206, 3075, 299, 2669, 143, 122, 67, 143, 112, 68, 54, 16977, 14, 280, 7209, 223, 144, 232, 4135, 2386, 54, 68, 14, 280, 54, 143, 115, 144, 236, 6629, 54, 68, 280, 54, 143, 115, 144, 236, 6629, 54, 68, 14, 280, 54, 5445, 54, 68, 6501, 280, 5445, 16, 280, 143, 122, 15199, 144, 240, 19176, 122, 91, 15199, 14, 280, 54, 5445, 54, 68, 6501, 503, 16093, 1347, 144, 232, 68, 144, 239, 1567, 280, 223, 144, 232, 71, 42, 9655, 144, 232, 71, 42, 68, 340, 81, 12666, 11271, 4135, 144, 232, 3771, 14, 263, 17789, 54, 14, 280, 143, 112, 144, 236, 263, 143, 126, 67, 54, 68, 19176, 126, 82, 4135, 280, 47, 263, 17789, 54, 1812, 280, 5445, 14, 280, 47, 263, 17789, 54, 71, 14, 280, 5445, 47, 14, 280, 18994, 8920, 143, 122, 280, 14, 337, 8607, 14, 519, 2656, 4974, 6777, 261, 418, 1933, 12430, 655, 18828, 4974, 2616, 15256, 86, 14, 23367, 418, 271, 623, 68, 4227, 87, 2419, 3217, 285, 2656, 4227, 566, 6777, 261, 418, 290, 91, 597, 418, 6777, 261, 418, 3571, 5899, 3055, 17438, 1420, 79, 68, 2431, 15256, 86, 6408, 274, 623, 316, 86, 14, 3571, 5899, 867, 506, 266, 981, 685, 19143, 6145, 299, 77, 418, 271, 623, 3047, 15965, 2419, 3217, 14545, 262, 1446, 1547, 16, 262, 1446, 1547, 274, 981, 75, 74, 290, 91, 685, 91, 2431, 14, 262, 1446, 1547, 274, 981, 75, 74, 263, 5116, 998, 16, 271, 623, 68, 14910, 14, 285, 2656, 4227, 566, 3994, 998, 223, 2670, 21669, 74, 998, 14, 11749, 463, 2834, 15256, 86, 16, 1933, 12430, 340, 18828, 4974, 14, 11749, 463, 2834, 15256, 86, 2616, 271, 862, 597, 337, 8607, 2991, 998, 358, 1220, 4227, 1077, 14, 271, 623, 998, 2877, 418, 274, 4909, 87, 262, 1446, 1547, 6777, 261, 418, 1856, 74, 13880, 1933, 12430, 2616, 15256, 86, 14, 285, 8627, 1168, 1068, 1141, 75, 6777, 261, 418, 1856, 74, 13880, 1933, 12430, 14, 285, 8627, 1168, 1068, 1141, 75, 6777, 261, 418, 15256, 86, 14, 271, 623, 68, 14910, 6777, 261, 418, 15256, 86, 14, 262, 1446, 1547, 6777, 261, 418, 15256, 86, 14, 1667, 11276, 4298, 285, 2656, 4227, 566, 223, 159, 100, 109, 159, 101, 232, 159, 100, 227, 14, 223, 159, 100, 111, 159, 100, 125, 159, 100, 100, 14, 223, 159, 100, 119, 159, 100, 109, 159, 101, 226, 159, 100, 102, 159, 101, 238, 159, 100, 111, 223, 159, 100, 102, 159, 101, 232, 159, 100, 247, 159, 100, 104, 159, 100, 125, 223, 159, 100, 108, 159, 100, 120, 159, 101, 226, 159, 100, 100, 223, 159, 100, 111, 159, 101, 236, 159, 100, 109, 159, 100, 125, 159, 100, 227, 159, 100, 256, 159, 100, 126, 159, 100, 246, 223, 159, 100, 120, 159, 101, 233, 14, 223, 159, 100, 119, 159, 100, 109, 159, 101, 226, 159, 100, 102, 159, 101, 238, 159, 100, 111, 223, 159, 100, 106, 159, 100, 111, 223, 159, 100, 251, 159, 100, 125, 159, 100, 227, 159, 100, 102, 159, 100, 104, 159, 101, 225, 223, 159, 100, 246, 159, 101, 232, 223, 159, 100, 119, 159, 100, 125, 159, 100, 101, 223, 159, 100, 119, 159, 101, 236, 159, 100 ]
[ 1, 5, 5959, 47, 4797, 52, 623, 4589, 4797, 48, 463, 2343, 3295, 5959, 47, 23803, 5089, 5828, 1477, 1567, 5632, 3282, 7846, 1158, 21406, 388, 2877, 19285, 9516, 847, 1952, 9110, 20218, 1689, 2884, 528, 1255, 23165, 12978, 23580, 4589, 9516, 10043, 11403, 18355, 23803, 5828, 1477, 1567, 5632, 3282, 7846, 1158, 21406, 388, 2877, 19285, 9516, 847, 1952, 9110, 20218, 1689, 2884, 528, 1255, 23165, 12978, 23580, 4589, 9516, 10043, 11403, 18355, 23803, 5828, 3282, 5828, 3282, 1567, 5024, 6207, 3282, 7846, 1158, 21406, 388, 2877, 19285, 9516, 847, 1952, 20218, 1689, 2884, 528, 1255, 23165, 12978, 23580, 4589, 9516, 10043, 11403, 18355, 23803, 5828, 1477, 1567, 5632, 3282, 7846, 1158, 21406, 388, 2877, 19285, 9516, 847, 1952, 20218, 1689, 2884, 528, 1255, 23165, 12978, 23580, 4589, 9516, 10043, 11403, 18355, 9050, 1021, 1917, 5719, 1567, 5719, 13249, 22689, 1196, 616, 1158, 21406, 388, 2877, 19285, 9516, 847, 1952, 9110, 9516, 10043, 20218, 1689, 2884, 528, 1255, 23165, 12978, 23580, 4589, 8846, 18355, 9050, 1021, 1917, 5719, 1567, 5024, 5719, 5719, 1158, 21406, 388, 2877, 19285, 9516, 847, 1952, 9110, 20218, 1689, 2884, 528, 1255, 23165, 12978, 23580, 4589, 9516, 10043, 11403, 18355, 6912, 701, 2793, 6912, 9851, 16, 1907, 10542, 7091, 16578, 16, 2104, 7846, 10469, 18042, 16, 5153, 620, 4526, 972, 3470, 17532, 16, 6207, 3282, 7846, 2104, 19482, 16, 23803, 5089, 5828, 3282, 20284, 16, 9570, 5719, 5719, 20537, 16, 5071, 6207, 3425, 15705, 19171, 16, 5727, 5828, 643, 333, 17916, 16, 2214, 461, 434, 2073, 19312, 1800, 16, 3282, 14110, 5071, 5089, 9422, 8993, 3291, 16, 2899, 9947, 6815, 3282, 2963, 16, 6956, 3184, 519, 550, 14615, 4341, 16, 2073, 519, 1651, 4446, 16, 6100, 8984, 2977, 16, 9570, 643, 16253, 3184, 3356, 4053, 16, 2899, 6018, 11434, 9570, 8984, 4533, 16, 1204, 106, 268, 4605, 268, 3436, 16, 519, 544, 2214, 21296, 10043, 1524, 16, 6306, 9947, 619, 616, 12119, 11740, 358, 290, 5189, 637, 22783, 564, 847, 16, 8984, 5439, 16, 388, 1569, 1265, 6171, 16, 11253, 3184, 22689, 8799, 24183, 6292, 16, 1477, 448, 3474, 2373, 972, 849, 4681, 16, 1477, 1265, 972, 14, 972, 1269, 897, 1774, 4435, 16, 5318, 448, 1737, 397, 436, 564, 1265, 6825, 16, 6077, 1265, 620, 1201, 972, 6566, 2501, 795, 1098, 7771, 16, 570, 2169, 1998, 381, 8832, 16, 2876, 14194, 223, 23537, 13968, 2614, 352, 5442, 4026, 7041, 564, 1382, 1721, 521, 12318, 9516, 10043, 846, 28, 223, 23537, 5442, 4026, 17102, 82, 5860, 4898, 28, 12415, 2065, 15, 1567, 12415, 2065, 2065, 2065, 2065, 2065, 2065, 2065, 2065, 2065, 2065, 2065, 1242, 12415, 2065, 2065, 2065, 2065, 2065, 2065, 3956, 12415, 15, 12415, 2065, 1242, 4864, 253, 234, 9545, 1637, 14, 5069, 2215, 14, 8909, 9868, 1540, 820, 1248, 1443, 1483, 1371, 1035, 5263, 28, 2454, 623, 2893, 6372, 86, 318, 1168, 63, 4797, 268, 1061, 279, 546, 623, 4589, 4797, 268, 1061, 279, 546, 623, 4589, 4797, 358, 623, 4589, 19746, 4797, 23899, 670, 4797, 566, 79, 506, 69, 3273, 3975, 75, 4797, 69, 616, 74, 14972, 616, 13760, 4797, 70, 605, 74, 685, 77, 1589, 7926, 616, 4797, 85, 414, 73, 3487, 4797, 23043, 3589, 418, 4797, 286, 418, 3641, 2995, 79, 616, 4797, 86, 605, 13910, 87, 4797, 316, 463, 18994, 12999, 623, 4970, 18039, 3270, 1443, 4208, 2445, 632, 7779, 795, 19189, 21276, 22108, 1567, 795, 19189, 427, 3295, 14943, 4717, 18844, 18039, 427, 3295, 14943, 4717, 12682, 503, 11271, 16639, 1567, 7779, 795, 19189, 21276, 16799, 10824, 1567, 624, 21436, 795, 19189, 1021, 15725, 18844, 4864, 249, 255, 7384, 4077, 262, 5687, 3637, 223, 175, 256, 244, 119, 28, 9756, 7788, 638, 50, 12940, 3858, 18597, 546, 11, 4864, 249, 230, 8195, 2101, 415, 532, 448, 4032, 1054, 3, 986, 997, 1387, 2856, 3537, 3, 5643, 19741, 19741, 19741, 19741, 19741, 19741, 19741, 19741, 19741, 19741, 19741, 19741, 31, 5643, 19741, 11620, 31, 388, 2045, 28, 620, 14, 620, 2135, 358, 623, 4589, 14, 262, 2877, 86, 3641, 8345, 5925, 358, 623, 4589, 14, 262, 2877, 86, 3641, 8345, 5925, 14, 3991, 1370, 14, 620, 370, 691, 14, 1370, 637, 1303, 14, 2653, 1370, 4348, 24415, 358, 623, 4589, 14, 3537, 358, 623, 4589, 14, 11303, 2343, 3295, 847, 1952, 14, 293, 1061, 262, 2877, 917, 77, 14, 917, 75, 1634, 14, 3357, 1140, 418, 867, 71, 87, 978, 414, 14, 2480, 867, 71, 87, 985, 1303, 358, 623, 4589, 14, 293, 418, 3237, 14, 8392, 1370, 358, 623, 4589, 14, 620, 370, 691, 358, 623, 4589, 14, 2653, 4979, 1370, 14, 293, 1061, 15624, 14, 293, 1061, 15624, 358, 623, 4589, 847, 1952, 293, 1061, 7044, 358, 623, 4589, 1181, 761, 14, 3537, 1774, 358, 623, 4589, 1587, 8939, 3868, 358, 623, 4589, 1181, 761, 4720, 14, 1748, 20025, 305, 560, 358, 623, 4589, 14, 3357, 695, 1265, 358, 623, 4589, 14, 821, 922, 500, 377, 2660, 640, 14, 1866, 3395, 1231, 632, 14, 2743, 1268, 358, 623, 4589, 14, 1140, 414, 837, 14, 358, 623, 4589, 6496, 14, 358, 623, 4589, 14, 2729, 1370, 358, 623, 4589, 14, 1748, 20025, 305, 560, 14, 293, 1061, 15624, 358, 623, 4589, 14, 1856, 10191, 262, 2877, 917, 77, 1181, 6496, 14, 445, 377, 370, 2690, 14, 1370, 1265, 358, 623, 4589, 14, 3537, 1774, 358, 623, 4589, 6496, 14, 3537, 262, 2877, 917, 77, 592, 86, 761, 940, 1230, 14, 1748, 20025, 2480, 14, 5640, 1801, 6647, 1015, 14, 8825, 888, 358, 623, 4589, 14, 276, 3449, 14401, 14, 2300, 768, 972, 691, 620, 897, 1265, 9340, 266, 3198, 14, 12000, 1196, 418, 14, 972, 6566, 620, 358, 623, 4589, 14, 972, 1801, 358, 4970, 358, 623, 4589, 14, 1737, 972, 358, 623, 4589, 14, 2532, 1856, 358, 623, 4589, 14, 1158, 21406, 388, 2877, 10192, 14, 293, 1061, 15624, 358, 623, 4589, 14, 293, 1061, 1774, 358, 623, 4589, 9340, 16, 343, 5405, 14, 1158, 21406, 14, 262, 2877, 917, 77, 14, 358, 623, 4589, 14, 358, 623, 4589, 223, 1168, 79, 14, 358, 623, 4589, 847, 1952, 14, 3537, 1774, 358, 623, 4589, 6496, 1181, 761, 940, 1230, 14, 3537, 1774, 358, 623, 4589, 6496, 14, 3537, 1774, 14 ]
[ 1, 175, 256, 237, 246, 14763, 1501, 637, 5161, 3134, 2460, 28, 12318, 490, 442, 2781, 3614, 3524, 740, 521, 3325, 2056, 2561, 1259, 1308, 3162, 3075, 368, 1095, 1520, 940, 846, 352, 377, 1483, 837, 615, 1316, 1642, 1239, 1387, 3442, 1951, 1181, 867, 901, 734, 16, 223, 175, 256, 237, 246, 3537, 442, 1148, 953, 454, 4208, 368, 11757, 79, 1589, 11383, 14, 1305, 2101, 532, 448, 1482, 572, 1248, 3537, 2430, 3323, 490, 223, 175, 707, 111, 161, 254, 100, 12044, 240, 175, 256, 237, 233, 223, 175, 256, 237, 246, 4293, 665, 782, 564, 2872, 2614, 3813, 901, 2764, 901, 1383, 4082, 1370, 1265, 368, 409, 14, 2532, 1742, 290, 8787, 370, 2986, 2190, 3646, 436, 1119, 415, 532, 6483, 6529, 3103, 16, 8984, 532, 16, 223, 175, 707, 111, 175, 256, 243, 246, 11785, 225, 12044, 240, 175, 256, 237, 233, 223, 175, 256, 237, 246, 4670, 2161, 1667, 1621, 28, 223, 175, 256, 237, 246, 40, 6179, 7839, 49, 11103, 11757, 79, 1589, 11383, 28, 4864, 249, 225, 12044, 240, 175, 256, 243, 248, 13984, 2054, 1050, 3485, 11757, 79, 1589, 11383, 3080, 4735, 1334, 3382, 10445, 8984, 1705, 482, 388, 2344, 18251, 14, 7859, 1611, 5044, 1571, 986, 1081, 14, 22974, 2543, 6768, 986, 1081, 846, 1621, 1330, 352, 1288, 28, 681, 9561, 22839, 5451, 48, 624, 13012, 54, 461, 6401, 28, 13226, 5451, 6759, 528, 4850, 3737, 624, 13012, 54, 461, 6401, 28, 570, 14276, 388, 4850, 43, 681, 10574, 6444, 48, 28, 570, 14276, 388, 4850, 43, 681, 10574, 6444, 48, 28, 511, 9620, 973, 3664, 528, 10948, 38, 5758, 28, 8981, 55, 49, 3737, 503, 59, 7833, 4456, 42, 8981, 24842, 611, 15318, 681, 43, 8794, 760, 7659, 3737, 16, 619, 13012, 48, 7833, 49, 21877, 28, 4845, 19, 1421, 3709, 1997, 2602, 1146, 2193, 24, 1158, 47, 10097, 46, 28, 2454, 623, 2893, 6372, 86, 318, 1168, 63, 223, 175, 256, 237, 246, 760, 7659, 49, 24236, 235, 6759, 2304, 760, 7659, 49, 24236, 235, 6759, 21171, 20719, 3737, 388, 20350, 7688, 49, 388, 4850, 43, 681, 10574, 6444, 48, 6815, 19138, 119, 28, 223, 175, 256, 243, 248, 56, 685, 11811, 11757, 79, 1589, 701, 87, 414, 28, 223, 175, 256, 243, 248, 60, 9869, 28, 4845, 19, 1421, 3709, 1997, 2602, 1146, 2193, 24, 223, 175, 256, 243, 248, 9845, 733, 3174, 2001, 1134, 266, 12475, 2304, 11757, 79, 1589, 9204, 503, 2893, 1491, 611, 2611, 5741, 28, 8374, 25, 1158, 10630, 5405, 340, 77, 89, 91, 14037, 1146, 4797, 1146, 2354, 1158, 8280, 3975, 1446, 81, 14, 20298, 14, 2277, 474, 2119, 223, 175, 256, 243, 248, 18713, 82, 862, 28, 223, 175, 256, 243, 248, 38, 1220, 3074, 1084, 1166, 10172, 15664, 17278, 1219, 7860, 16559, 2304, 1219, 7860, 16559, 638, 38, 4850, 7197, 7688, 49, 415, 692, 1832, 2214, 2374, 22540, 795, 12229, 22655, 3651, 22226, 7325, 388, 16903, 388, 4850, 43, 681, 10574, 6444, 48, 28, 461, 8, 39, 388, 6401, 12210, 39, 8981, 55, 49, 3737, 1420, 52, 41, 643, 15321, 570, 14276, 388, 4850, 43, 681, 10574, 6444, 48, 28, 1787, 758, 3928, 474, 3313, 570, 14276, 619, 21706, 3737, 28, 314, 1952, 12748, 1952, 8541, 1039, 9845, 733, 28, 873, 758, 8543, 611, 10909, 4614, 14, 3463, 5422, 14, 3463, 5422, 3357, 1099, 223, 175, 256, 237, 246, 760, 7659, 49, 24236, 235, 6759, 21754, 14276, 37, 388, 9561, 528, 49, 260, 117, 37, 7833, 8671, 47, 7833, 4456, 3651, 22226, 2304, 7688, 16859, 259, 227, 48, 681, 10574, 6444, 48, 21754, 14276, 37, 388, 9561, 528, 49, 260, 117, 37, 22226, 3651, 528, 49, 260, 117, 37, 10935, 8337, 225, 55, 528, 9546, 48, 28, 223, 175, 256, 243, 248, 5039, 946, 5033, 28, 388, 16903, 388, 4850, 43, 681, 10574, 6444, 48, 28, 461, 3183, 1158, 388, 6401, 12210, 39, 8981, 55, 49, 3737, 1420, 52, 41, 643, 15321, 570, 14276, 388, 4850, 43, 681, 10574, 6444, 48, 28, 1787, 758, 3928, 474, 3313, 570, 14276, 619, 21706, 3737, 28, 314, 1952, 12748, 1952, 503, 16906, 570, 57, 9122, 54, 28, 7688, 7213, 7662, 2769, 9845, 733, 3767, 1039, 28, 873, 758, 8543, 611, 10909, 4614, 14, 3463, 5422, 14, 3463, 5422, 3357, 1099, 459, 10935, 5982, 3737, 13226, 43, 519, 11227, 48, 19824, 12314, 50, 19138, 249, 54, 11085, 21706, 43, 619, 12229, 98, 37, 528, 8337, 227, 55, 22540, 528, 8337, 227, 55, 15034, 225, 643, 55, 15547, 54, 619, 8337, 225, 55, 528, 4850, 7197, 21171, 7688, 14892, 7197, 655, 4262, 102, 14, 519, 11227, 48, 19824, 12314, 50, 7688, 49, 11085, 21706, 43, 570, 14276, 3737, 619, 12229, 98, 37, 624, 18980, 624, 260, 121, 22540, 619, 260, 119, 50, 10935, 19727, 427, 6444, 10977, 253, 43, 14, 619, 15089, 643, 4850, 570, 259, 111, 19824, 12314, 50, 10977, 257, 4441, 241, 43, 223, 5982, 55, 22540, 4441, 241, 43, 223, 5982, 55, 10935, 19727, 16, 461, 22617, 5150, 619, 16906, 427, 15089, 427, 55, 259, 249, 37, 10977, 253, 43, 1689, 58, 1905, 519, 12229, 251, 37, 14, 643, 5982, 55, 19138, 249, 54, 11085, 21706, 43, 10977, 227, 519, 259, 239, 643, 259, 257, 519, 19727, 681, 259, 113, 570, 259, 111, 13226, 22293, 519, 13012, 54, 461, 4850, 49, 8981, 49, 3737, 624, 23451, 3737, 21171, 643, 55, 15547, 48, 624, 19962, 48, 643, 4850, 9318, 14892, 427, 18587, 10935, 19727, 16, 7688, 14892, 7197, 655, 4262, 102, 624, 15547, 48, 528, 4850, 7197, 7833, 7126, 643, 55, 15547, 54, 681, 9561, 54, 21754, 6444, 14, 20719, 3737, 388, 20350, 519, 20907, 54, 528, 19219, 21913, 16, 13226, 43, 19824, 12314, 50, 11085, 21706, 43, 13226, 22293, 427, 15089, 570, 259, 111, 4441, 111, 795, 49, 14, 528, 11227, 7197, 9318, 12314, 37, 22540, 7833, 4850, 7197, 619, 11227, 54, 619, 12229, 98, 37, 8981, 49, 3737, 427, 55, 259, 249, 37, 570, 14276, 3737, 14, 519, 11227, 48, 619, 35, 3737, 503, 3512, 5388, 108, 35, 7833, 43, 16903, 619, 21706, 3737, 638, 37, 12694, 388, 59, 427, 15089, 13226, 6444, 461, 19962, 3737, 14, 19824, 9561, 54, 503, 14261, 7197, 14, 13226, 5451 ]
[ 1, 89, 2602, 69, 1141, 6745, 463, 7867, 19890, 1054, 69, 897, 370, 479, 5429, 978, 2480, 3466, 368, 2725, 1871, 804, 2294, 1270, 804, 3485, 2480, 4214, 16, 8284, 482, 1358, 4101, 3338, 1326, 1054, 1316, 2294, 6272, 2626, 454, 2844, 2764, 901, 6540, 1915, 287, 765, 4915, 287, 765, 23600, 1460, 1362, 1839, 632, 1298, 1391, 500, 442, 3306, 3399, 879, 797, 29, 511, 1618, 2602, 276, 298, 5338, 2602, 343, 506, 293, 2262, 3356, 1682, 377, 897, 2126, 3353, 342, 2269, 646, 4249, 9001, 656, 1157, 1391, 489, 534, 1618, 2602, 223, 315, 4373, 3168, 1387, 450, 3959, 2717, 1722, 5209, 3319, 632, 920, 1148, 953, 290, 515, 2927, 368, 8626, 266, 769, 16, 1618, 2602, 11150, 3964, 274, 6072, 1618, 89, 2602, 271, 13283, 4480, 1722, 1185, 1071, 1248, 1270, 564, 820, 1602, 1312, 3171, 8542, 87, 490, 352, 2856, 7899, 2766, 640, 620, 445, 16, 2161, 223, 159, 120, 226, 159, 119, 248, 159, 119, 232, 223, 159, 119, 251, 159, 119, 258, 159, 119, 101, 2899, 479, 5285, 5824, 397, 2707, 521, 436, 2107, 3813, 9016, 1512, 3237, 1618, 2602, 274, 4743, 846, 1618, 2602, 274, 6072, 10242, 4607, 2158, 665, 3354, 2158, 14, 1977, 1655, 3437, 2995, 85, 1797, 1834, 15583, 490, 564, 1944, 397, 15975, 1919, 1834, 15583, 4724, 5854, 6918, 450, 611, 74, 3437, 17589, 81, 1682, 6848, 2012, 3557, 2340, 2073, 2067, 489, 436, 2435, 703, 13391, 4124, 1613, 1037, 16, 24086, 2602, 541, 338, 293, 605, 1618, 2602, 2743, 1268, 20537, 9570, 5800, 3, 9570, 5800, 3, 9570, 5800, 3, 9102, 5907, 397, 1834, 15583, 1834, 15583, 1832, 15528, 287, 5408, 296, 11083, 5782, 685, 3718, 2013, 823, 397, 2186, 2405, 436, 3045, 2158, 1840, 2706, 3788, 482, 660, 734, 1618, 2602, 867, 815, 1618, 2602, 11150, 3964, 3757, 702, 1592, 377, 4073, 900, 615, 5575, 3098, 551, 2540, 1563, 368, 803, 3551, 2873, 1618, 2602, 14209, 1185, 2183, 1509, 920, 733, 1597, 1534, 1460, 2397, 1108, 1563, 1618, 2602, 867, 815, 276, 80, 5844, 1618, 2602, 920, 3786, 1618, 2602, 340, 17221, 3895, 2158, 1230, 14674, 7253, 632, 786, 823, 860, 33, 3895, 532, 1640, 9378, 274, 6072, 665, 12415, 14209, 1185, 342, 397, 4272, 785, 632, 646, 5800, 6529, 352, 377, 582, 797, 1523, 3, 2380, 2050, 1682, 340, 17221, 740, 1618, 2602, 5338, 2602, 21146, 2073, 1210, 1042, 900, 768, 529, 500, 4460, 665, 1563, 821, 922, 274, 6072, 1618, 2602, 377, 720, 4828, 17446, 2235, 303, 964, 955, 352, 521, 2166, 7272, 1919, 1189, 10666, 1189, 5408, 352, 4031, 2116, 1091, 1403, 975, 786, 946, 2139, 479, 5943, 1005, 761, 3356, 1682, 5354, 1095, 551, 454, 1602, 4897, 442, 1210, 3310, 1541, 2429, 1245, 2999, 2770, 702, 287, 5408, 1592, 1327, 1210, 1042, 900, 768, 2994, 3008, 2464, 482, 14828, 368, 803, 640, 370, 2393, 1357, 1642, 5520, 482, 932, 16, 1832, 15528, 16052, 296, 11083, 5782, 685, 1672, 2161, 1618, 2602, 4896, 1121, 2224, 1166, 418, 1312, 1491, 441, 685, 342, 11900, 14456, 489, 4430, 1431, 1713, 1400, 20838, 15423, 1618, 298, 16052, 4293, 1722, 1185, 370, 479, 2653, 571, 4343, 19832, 1065, 382, 15849, 352, 7498, 1065, 262, 330, 368, 3959, 1787, 3103, 16, 1618, 2602, 302, 6509, 2380, 2050, 2872, 2371, 1618, 2602, 1166, 418, 1312, 1491, 441, 685, 1940, 1053, 448, 1110, 1381, 1287, 757, 2653, 4756, 490, 1618, 2602, 720, 2100, 1166, 506, 519, 7236, 342, 436, 2435, 703, 2802, 4101, 4618, 454, 5257, 3331, 368, 20489, 1312, 1589, 415, 6848, 3557, 2340, 2999, 2770, 9489, 2634, 9222, 2073, 1210, 1042, 900, 768, 643, 7236, 503, 1491, 92, 3198, 500, 1148, 953, 521, 920, 3538, 2373, 482, 932, 564, 1157, 5541, 489, 620, 445, 16, 1814, 2012, 2561, 1259, 740, 2108, 1166, 418, 78, 1797, 91, 75, 442, 1153, 1719, 637, 2717, 4892, 2970, 1244, 572, 2725, 1871, 1618, 2602, 276, 298, 1618, 2602, 262, 5298, 287, 765, 4915, 975, 5250, 695, 3646, 695, 5918, 5505, 14, 409, 448, 1183, 454, 5918, 5505, 1672, 1345, 1618, 2602, 5771, 19631, 15908, 740, 1391, 1871, 28, 7596, 571, 860, 370, 479, 342, 2572, 5364, 33, 532, 5273, 10369, 1618, 2602, 2448, 1797, 1618, 2602, 11150, 3964, 6989, 293, 605, 4722, 635, 500, 2118, 572, 1322, 370, 397, 646, 3403, 5162, 955, 3856, 14703, 33, 5089, 377, 589, 342, 2428, 7930, 4827, 450, 790, 532, 33, 1821, 287, 765, 4915, 9302, 17035, 1682, 14, 409, 15634, 1100, 572, 4964, 724, 3700, 4233, 377, 589, 342, 1735, 3045, 1618, 2602, 89, 11558, 920, 571, 1520, 1170, 1618, 2602, 2073, 589, 1166, 418, 1312, 1491, 441, 685, 448, 1866, 3395, 3522, 2324, 3437, 2995, 12648, 1834, 15583, 637, 1640, 2202, 1682, 860, 33, 4881, 1447, 846, 1618, 2602, 3356, 1682, 442, 511, 14, 23, 615, 461, 1821, 489, 3887, 3987, 4472, 704, 436, 13875, 7278, 3352, 482, 377, 442, 1419, 342, 3671, 436, 1682, 2872, 2614, 1556, 2773, 1100, 1447, 9489, 3557, 2340, 846, 1682, 2012, 3557, 2340, 1166, 506, 441, 9172, 342, 436, 757, 1510, 1187, 572, 2942, 4705, 368, 1987, 1694, 14, 352, 415, 786, 867, 901, 551, 1166, 506, 441, 9172, 649, 448, 1187, 572, 920, 564, 5354, 1095, 15420, 5776, 1987, 1694, 274, 6072, 665, 1618, 2602, 1005, 761, 1166, 418, 1312, 1491, 441, 685, 649, 370, 1645, 691, 1005, 632, 3437, 2995, 85, 1797, 1834, 15583, 1618, 2602, 13430, 3964, 262, 77, 1814, 2012, 2561, 1259, 9265, 4418, 695, 1037, 14, 521, 3289, 2388, 1308, 14828, 442, 11686, 3370, 665, 3289, 5179, 965, 343, 506, 293, 2262, 1618, 2602, 13430, 3964, 8201, 656, 1166, 418, 1312, 1491, 441, 685, 1100, 442, 2460, 1261, 6272, 2371, 665, 15129, 5396, 5153, 8924, 5372, 287, 765, 4915, 9302, 511, 1483, 1371, 489, 1618, 2602, 5771, 19631, 15908, 740, 1391, 1871, 28, 7596, 571, 860, 370, 479, 342, 2572, 5364, 33, 532, 5273, 10369, 1618, 2602, 6989, 293, 605, 276, 483, 3356, 1682, 342, 461, 15, 4692, 15, 21444, 81, 2766, 640, 528, 1082, 2067, 720, 4472, 2592, 29, 427, 1744, 75, 1507, 1618, 2602, 3730, 1618, 2602, 2575, 1856, 1166, 506, 760, 506, 28, 4293, 370, 589, 342, 397, 2994, 1774, 33, 3859, 1878, 9868, 657, 377 ]
[ 1, 77, 765, 285, 670, 16052, 13457, 879, 1847, 2639, 884, 1166, 418, 1312, 1491, 441, 685, 448, 6456, 397, 901, 1244, 2999, 2770, 9489, 2634, 15646, 9570, 5800, 3, 9570, 5800, 3, 9570, 5800, 3, 9102, 5907, 397, 1834, 15583, 1834, 15583, 3786, 6848, 2012, 1618, 2602, 343, 506, 293, 2262, 1618, 2602, 18141, 2963, 74, 507, 2158, 14, 415, 1362, 1839, 1280, 7121, 2660, 1231, 640, 4713, 7466, 7765, 352, 1316, 3756, 656, 1424, 798, 2620, 479, 651, 1787, 16, 1682, 6848, 3557, 2340, 2561, 3462, 1166, 418, 1312, 1491, 441, 685, 2026, 2990, 2235, 1642, 3902, 368, 1821, 868, 1856, 352, 1883, 2224, 1618, 2602, 2743, 1268, 20537, 1832, 1821, 296, 11083, 5782, 685, 9688, 1357, 1722, 5209, 632, 975, 442, 1601, 342, 975, 1507, 3437, 2995, 12648, 1834, 15583, 448, 1244, 572, 2941, 900, 2405, 436, 1618, 2602, 274, 6072, 1005, 761, 4480, 377, 2183, 564, 1448, 14, 905, 932, 1166, 685, 3437, 74, 685, 7936, 448, 1721, 847, 1459, 1448, 1838, 1015, 656, 1448, 458, 16, 2380, 2050, 2872, 2371, 1618, 2602, 4186, 1618, 2602, 21146, 19607, 482, 397, 724, 8215, 2592, 3963, 343, 12967, 352, 1189, 10666, 1189, 5408, 14, 458, 4218, 632, 2416, 3437, 2995, 85, 1797, 1834, 15583, 16, 1618, 2602, 13430, 3964, 1618, 2602, 88, 483, 14209, 1185, 370, 479, 3675, 1364, 1199, 564, 2405, 1955, 1069, 19909, 1244, 16, 287, 5408, 15522, 3551, 2873, 1618, 2602, 9265, 4418, 695, 1037, 14, 521, 3289, 2388, 1308, 14828, 442, 11686, 3370, 665, 3289, 5179, 965, 1618, 89, 2602, 1821, 2877, 765, 14209, 1185, 370, 479, 1153, 1719, 1185, 1358, 660, 1069, 804, 692, 1832, 724, 657, 377, 979, 4946, 1534, 797, 3, 1618, 2602, 6848, 1618, 2602, 271, 82, 2073, 479, 1187, 1645, 1037, 1319, 567, 415, 1978, 2826, 1618, 2602, 223, 315, 4373, 15773, 1602, 656, 409, 2640, 3473, 14, 409, 448, 2086, 1370, 1640, 9378, 1105, 1559, 1455, 3403, 1162, 5708, 87, 713, 1119, 571, 635, 33, 1618, 2602, 274, 6072, 592, 261, 293, 605, 1832, 15528, 287, 765, 620, 14209, 1185, 582, 768, 1525, 2417, 377, 479, 2918, 1640, 657, 377, 370, 397, 1523, 2230, 9632, 21466, 2532, 285, 566, 296, 11083, 5782, 685, 1618, 2602, 271, 4970, 293, 998, 1477, 922, 766, 5285, 5824, 1834, 506, 12733, 83, 75, 482, 724, 11681, 368, 803, 16, 1672, 1814, 2012, 2561, 3462, 1618, 2602, 18790, 287, 765, 4480, 1722, 1185, 370, 479, 1559, 1738, 442, 1540, 820, 529, 720, 436, 728, 2196, 953, 489, 934, 1154, 10189, 9257, 1134, 3045, 2776, 920, 13248, 1447, 665, 1618, 2602, 6794, 2136, 1364, 4622, 370, 479, 3848, 1268, 3357, 7, 489, 2294, 1270, 2107, 3813, 368, 436, 4349, 1622, 1618, 2602, 592, 261, 293, 605, 271, 4970, 293, 998, 1618, 2602, 511, 274, 6072, 1618, 2602, 1618, 2602, 11150, 3964, 1618, 2602, 14209, 1185, 370, 479, 1941, 1259, 489, 1298, 436, 1308, 3162, 3075, 2614, 1883, 2126, 3353, 2569, 489, 2084, 1248, 274, 6072, 3551, 2873, 1618, 2602, 4588, 2776, 5051, 10153, 657, 1166, 418, 1312, 1491, 441, 685, 820, 2873, 728, 489, 521, 2776, 5051, 10153, 454, 415, 1756, 1194, 1892, 3073, 632, 21783, 860, 2461, 5522, 2532, 285, 566, 1618, 2602, 3786, 6848, 2012, 1618, 2602, 1166, 506, 15064, 69, 566, 1108, 2235, 4618, 592, 71, 14, 884, 377, 4662, 9175, 1618, 2602, 340, 17221, 15522, 6077, 6527, 2340, 1154, 1300, 490, 564, 1507, 1832, 15528, 287, 765, 1838, 3919, 2532, 285, 566, 296, 11083, 5782, 685, 1618, 2602, 271, 4970, 293, 998, 1166, 418, 1312, 1491, 441, 685, 2227, 3037, 500, 377, 564, 3437, 2995, 85, 1797, 1834, 15583, 607, 632, 397, 803, 274, 6072, 89, 2602, 1347, 1082, 934, 368, 4666, 665, 2575, 2805, 1079, 934, 442, 1483, 1306, 489, 415, 3544, 1357, 665, 2575, 906, 274, 6072, 1618, 2602, 5338, 2602, 271, 13283, 1166, 418, 1312, 1491, 441, 685, 748, 2435, 1884, 3437, 2995, 85, 1797, 1834, 15583, 1755, 2566, 1769, 3, 3895, 17118, 1834, 75, 14, 436, 766, 13391, 740, 4734, 14, 691, 768, 397, 436, 2593, 766, 6971, 7736, 489, 821, 2007, 6191, 1769, 368, 803, 6848, 1814, 2012, 3557, 2340, 14209, 1185, 3065, 1639, 646, 3303, 3170, 368, 1998, 267, 7196, 14, 611, 1021, 10477, 2328, 2649, 1100, 1611, 1520, 3563, 985, 519, 566, 2575, 450, 16, 2872, 2371, 1618, 2602, 302, 73, 274, 6072, 665, 287, 87, 4722, 635, 500, 2118, 572, 1322, 1690, 4233, 551, 660, 1069, 5704, 571, 4460, 10270, 1362, 656, 766, 1148, 953, 458, 33, 2073, 2300, 1507, 1618, 2602, 262, 80, 86, 1166, 418, 1312, 1491, 441, 685, 285, 2099, 5273, 12302, 2729, 589, 397, 920, 2424, 3540, 16, 2161, 1618, 2602, 3786, 1618, 2602, 340, 69, 9265, 4418, 724, 6869, 2915, 917, 71, 917, 2160, 14, 293, 566, 13441, 352, 358, 351, 13909, 454, 2145, 377, 1053, 489, 6584, 2630, 4009, 2086, 1239, 16, 276, 2602, 541, 338, 293, 605, 5469, 7702, 368, 1166, 418, 760, 1976, 92, 414, 1755, 482, 448, 442, 821, 3659, 12519, 9489, 2999, 651, 15522, 1618, 2602, 15522, 5771, 19631, 720, 7284, 757, 28, 1477, 377, 2283, 394, 8430, 2315, 734, 975, 786, 9327, 3746, 14209, 1185, 2227, 3037, 2952, 1364, 644, 1431, 748, 1364, 644, 4087, 4839, 1618, 2602, 13430, 3964, 21146, 1618, 2602, 342, 368, 955, 734, 2214, 9353, 3104, 20747, 4418, 8312, 1523, 582, 14, 2690, 370, 479, 1634, 442, 454, 18655, 9135, 16, 4915, 287, 765, 9302, 3270, 860, 1722, 4213, 342, 521, 635, 409, 691, 637, 692, 2541, 2409, 6088, 454, 1563, 368, 6120, 6923, 704, 528, 6974, 2435, 1420, 6124, 418, 16288, 506, 414, 1618, 2602, 11150, 3964, 274, 6072, 6848, 2202, 1682, 3557, 2340, 14209, 1185, 14, 1722, 1185, 377, 3848, 1268, 489, 6201, 8825, 368, 409, 3, 20377, 1382, 3034, 738, 1869, 397, 2166, 274, 14707, 1182, 454, 1105, 1183, 1259, 1071, 368, 532, 16, 1618, 2602, 1483, 1371, 12641, 1768, 900, 768, 2776, 941, 490, 377, 733, 370, 4666, 5800, 1370, 1265, 274, 6072, 1618, 2602, 1618, 2602, 13430, 3964, 867, 815, 14209, 1185, 342, 6289, 1387, 3, 503, 333, 4298, 1203, 258, 261, 6989, 1618, 2602, 1856, 1754, 6212, 296, 11083, 5782, 685, 3080, 3180, 888, 368 ]
[ 1, 70, 8211, 15423, 1618, 2602, 274, 4743, 9265, 4418, 695, 1037, 14, 521, 3289, 2388, 1308, 14828, 442, 11686, 3370, 665, 3289, 5179, 965, 6848, 3557, 2340, 1181, 12505, 1166, 4849, 74, 685, 14, 7897, 5033, 16122, 14828, 16402, 950, 273, 14, 6435, 359, 945, 14, 528, 345, 1166, 506, 87, 262, 5298, 287, 765, 296, 11083, 5782, 685, 4915, 9302, 9327, 946, 1618, 2602, 13293, 489, 2868, 3839, 368, 532, 3, 5481, 3466, 2915, 10191, 5907, 1618, 2602, 340, 17221, 1166, 506, 760, 506, 442, 3437, 286, 87, 1834, 418, 2732, 607, 5328, 6947, 3437, 74, 483, 16, 1618, 2602, 271, 13283, 340, 5860, 1326, 3911, 1618, 2602, 5250, 656, 1387, 4249, 1722, 1185, 14, 370, 479, 1182, 748, 2409, 3139, 454, 2091, 3522, 846, 1618, 2602, 274, 6072, 2799, 6342, 1166, 418, 33, 1166, 418, 1312, 1491, 441, 685, 1079, 2625, 551, 1434, 1858, 368, 803, 1071, 1364, 7898, 352, 1611, 1261, 454, 1724, 2317, 9515, 2602, 13430, 3964, 1618, 2602, 6989, 293, 605, 276, 483, 2214, 9353, 3104, 20747, 4418, 8312, 1523, 582, 14, 2690, 370, 479, 1634, 442, 454, 18655, 9135, 16, 1618, 2602, 281, 3380, 268, 605, 3080, 5931, 19318, 6910, 6556, 1512, 940, 740, 2361, 940, 12789, 80, 2787, 1269, 377, 1479, 1376, 454, 1039, 6612, 695, 4186, 2575, 1856, 1618, 2602, 511, 89, 2602, 276, 80, 1166, 506, 760, 506, 1424, 14931, 1035, 2941, 900, 368, 12855, 1919, 1618, 2602, 69, 19, 1347, 1082, 934, 368, 4666, 665, 2575, 2805, 1079, 934, 442, 1483, 1306, 489, 415, 3544, 1357, 665, 2575, 906, 786, 975, 1005, 6163, 1447, 9489, 3557, 2340, 302, 3735, 1618, 2602, 6989, 293, 605, 9265, 4418, 1523, 582, 2019, 804, 1667, 21285, 411, 604, 28, 5400, 660, 734, 532, 370, 479, 571, 814, 490, 397, 1280, 1201, 33, 2307, 1520, 1170, 1618, 2602, 14932, 10500, 1287, 1801, 934, 1534, 368, 1057, 509, 766, 2103, 632, 2416, 1037, 2999, 2770, 9489, 2634, 15646, 1618, 2602, 274, 6072, 665, 3356, 1682, 1345, 934, 1695, 920, 1377, 2145, 920, 1618, 16052, 541, 338, 293, 605, 14209, 1185, 14, 1722, 1185, 377, 3848, 1268, 489, 6201, 8825, 368, 409, 3, 20377, 1382, 3034, 738, 1869, 397, 2166, 274, 14707, 1182, 454, 1105, 1183, 1259, 1071, 368, 532, 16, 6989, 293, 605, 1618, 2602, 13430, 3964, 2202, 1682, 702, 644, 15824, 2050, 2224, 1166, 418, 1312, 1491, 441, 685, 342, 1459, 837, 1388, 761, 454, 1319, 567, 415, 2460, 1261, 368, 821, 922, 2764, 1618, 16052, 6727, 567, 733, 342, 8223, 3113, 2108, 1183, 368, 532, 352, 1397, 2429, 489, 1403, 450, 615, 1507, 2999, 2770, 287, 5408, 1988, 1230, 1618, 2602, 302, 13293, 489, 2868, 3839, 368, 532, 3, 5481, 3466, 2915, 10191, 5907, 1618, 2602, 274, 6072, 665, 1166, 418, 1312, 1491, 441, 685, 342, 1254, 33, 6844, 2317, 3276, 3838, 349, 2789, 1667, 2019, 3636, 3, 8616, 1199, 692, 738, 368, 620, 922, 342, 3659, 521, 436, 1005, 5940, 953, 16, 274, 6072, 276, 483, 1618, 16052, 1618, 2602, 4193, 5943, 3718, 2013, 521, 635, 657, 3352, 1675, 1298, 436, 1400, 1915, 2388, 632, 397, 2690, 1510, 3788, 482, 660, 734, 262, 5298, 287, 765, 4915, 9302, 2073, 3253, 521, 436, 509, 482, 521, 1244, 1817, 1110, 2005, 2315, 734, 33, 1592, 1634, 582, 768, 532, 649, 342, 397, 1244, 1121, 1270, 8909, 846, 8404, 2664, 6844, 646, 3276, 3838, 16, 2999, 2770, 9489, 11205, 1483, 1371, 489, 1618, 2602, 10242, 3354, 2158, 14, 4410, 821, 922, 352, 22486, 570, 6137, 75, 506, 2912, 955, 454, 3812, 1618, 2602, 20447, 642, 68, 2888, 3168, 5364, 1269, 833, 8650, 975, 757, 541, 7035, 368, 532, 1091, 5179, 804, 454, 1522, 906, 274, 6072, 1618, 2602, 271, 13283, 1618, 2602, 6989, 293, 605, 873, 9265, 4418, 695, 1037, 14, 521, 3289, 2388, 1308, 14828, 442, 11686, 3370, 665, 3289, 5179, 965, 1618, 2602, 1618, 2602, 262, 878, 6727, 567, 1286, 1182, 3, 4838, 849, 3, 1592, 500, 607, 757, 1510, 3, 1100, 16519, 1618, 2602, 276, 298, 343, 506, 293, 2262, 1618, 2602, 271, 4970, 293, 998, 1166, 418, 1312, 1491, 441, 685, 370, 479, 3268, 442, 1210, 3443, 1170, 985, 368, 1261, 738, 33, 2899, 589, 1254, 509, 766, 6532, 4249, 975, 1507, 33, 15727, 4989, 2561, 3462, 3356, 1682, 733, 370, 479, 1634, 798, 397, 2856, 2589, 370, 86, 287, 2160, 1642, 3902, 920, 13248, 1447, 665, 1618, 2602, 287, 5408, 7234, 2575, 4915, 1988, 1230, 4293, 1722, 1185, 370, 479, 2653, 571, 4343, 19832, 1065, 382, 15849, 352, 7498, 1065, 262, 330, 368, 3959, 1787, 3103, 16, 786, 975, 1618, 2602, 619, 7588, 564, 620, 445, 2636, 665, 1364, 644, 1259, 1071, 1134, 3211, 706, 1091, 1364, 644, 1431, 748, 454, 397, 5872, 7353, 3, 276, 2602, 541, 338, 293, 605, 1618, 2602, 2743, 1268, 274, 6072, 2706, 1166, 506, 6918, 1819, 685, 640, 582, 28, 9365, 489, 646, 7081, 5917, 368, 409, 489, 786, 4622, 4186, 1618, 2602, 2575, 1856, 1618, 2602, 74, 80, 665, 10683, 4019, 3900, 1308, 9808, 5534, 1239, 1735, 8252, 442, 1721, 665, 1706, 15060, 6548, 343, 506, 293, 2262, 89, 2602, 1618, 2602, 1748, 1004, 67, 8298, 1065, 261, 3356, 1682, 1682, 2776, 11623, 352, 5800, 1773, 607, 2991, 1602, 1259, 1071, 1618, 2602, 592, 261, 287, 414, 3356, 2380, 2050, 1166, 418, 1312, 1491, 441, 685, 766, 370, 1383, 3192, 879, 1431, 665, 1613, 490, 6848, 16052, 2561, 3462, 3786, 3757, 702, 1618, 2602, 519, 1410, 6548, 14, 5734, 3045, 23136, 14, 4184, 1879, 14, 8849, 3813, 14, 9624, 352, 748, 660, 1201, 3, 1618, 2602, 276, 80, 6989, 293, 605, 6794, 79, 15624, 1722, 4213, 442, 1869, 740, 4647, 15624, 4829, 482, 397, 4343, 6576, 1618, 2602, 274, 4420, 287, 765, 4915, 9302, 1832, 15528, 1166, 418, 1312, 1491, 441, 685, 14540, 12345, 768, 3009, 1239, 368, 3437, 2995, 12648, 1834, 15583, 1302, 303, 554, 2999, 2770, 287, 765, 1988, 1230, 3168, 1387, 450, 3959, 2717, 1722, 5209, 3319, 632, 920, 1148, 953, 290, 515, 2927, 368, 8626, 266, 769, 16, 2872, 2614, 571, 1520, 1170, 1618, 2602, 1618, 2602, 592, 261, 293, 605, 847, 1952, 11173, 6612, 10323, 3466, 266, 685, 8113, 11726, 454, 18655 ]
[ 1, 88, 604, 1618, 2602, 656, 720, 4828, 1166, 418, 856, 1491, 5034, 418, 352, 521, 436, 728, 2575, 757, 1424, 798, 2317, 368, 3666, 388, 1491, 7036, 87, 1618, 2602, 18141, 867, 815, 276, 80, 388, 1051, 644, 2531, 1833, 940, 846, 368, 1166, 418, 1312, 1491, 441, 685, 5272, 748, 436, 1713, 1400, 397, 10317, 358, 4012, 16938, 1618, 2602, 5338, 2602, 1618, 298, 14209, 1185, 14, 1722, 1185, 377, 3848, 1268, 489, 6201, 8825, 368, 409, 3, 20377, 1382, 3034, 738, 1869, 397, 2166, 274, 14707, 1182, 454, 1105, 1183, 1259, 1071, 368, 532, 16, 24881, 1792, 6848, 1618, 2602, 2073, 1210, 1042, 1915, 2388, 768, 620, 766, 1183, 454, 397, 660, 1069, 1079, 985, 352, 1713, 6491, 1037, 1391, 620, 2202, 1682, 2202, 1682, 2202, 1682, 2202, 665, 1618, 2602, 1166, 418, 1312, 1491, 441, 685, 3856, 1257, 1645, 814, 509, 656, 620, 922, 766, 4349, 1622, 7092, 665, 906, 1988, 509, 6848, 1618, 2602, 1477, 377, 564, 1233, 615, 1154, 479, 5534, 303, 872, 368, 18119, 3666, 81, 1015, 656, 442, 8055, 14, 352, 1079, 803, 358, 817, 1091, 16, 6848, 2012, 2561, 3462, 946, 479, 5943, 271, 4970, 761, 427, 267, 358, 75, 6941, 454, 3946, 766, 13263, 4714, 489, 4078, 644, 370, 479, 1424, 798, 1308, 2235, 1400, 1618, 2602, 11150, 3964, 1166, 418, 1312, 1491, 441, 685, 1305, 798, 768, 620, 377, 479, 10262, 10186, 821, 1201, 16, 1618, 2602, 6372, 6848, 1682, 2012, 3557, 2340, 14209, 1185, 370, 479, 2766, 640, 4517, 1351, 7898, 1108, 454, 397, 2145, 1095, 1314, 657, 377, 720, 23467, 640, 2416, 1015, 2380, 2050, 2872, 2371, 1618, 2602, 1592, 3211, 706, 897, 377, 900, 615, 738, 9087, 8515, 370, 993, 646, 5429, 5530, 4082, 1534, 454, 2235, 519, 566, 1834, 87, 352, 3058, 2371, 489, 458, 1181, 377, 16, 1483, 1371, 489, 1618, 2602, 920, 2872, 2614, 1520, 1170, 1618, 2602, 12505, 1166, 4849, 74, 685, 14, 7897, 5033, 16122, 14828, 16402, 950, 273, 14, 6435, 359, 945, 14, 528, 345, 1166, 506, 87, 975, 786, 3080, 3180, 888, 368, 5493, 804, 1935, 1525, 1639, 1166, 506, 441, 9172, 448, 1100, 442, 4644, 2532, 1419, 368, 534, 1618, 2602, 290, 86, 69, 6848, 1618, 2602, 3356, 1682, 370, 479, 370, 1721, 415, 5377, 1866, 1050, 1639, 415, 5377, 1154, 1248, 6848, 285, 566, 1618, 2602, 14209, 1185, 370, 479, 3675, 1364, 1199, 564, 2405, 1955, 1069, 19909, 1244, 16, 287, 5408, 786, 975, 287, 5408, 786, 975, 415, 786, 975, 6163, 1447, 9489, 3557, 2340, 22567, 4526, 1479, 28, 12882, 1724, 2615, 993, 646, 377, 1119, 1306, 3135, 489, 397, 436, 1842, 941, 637, 903, 2225, 6539, 3614, 2775, 509, 16, 343, 506, 293, 2262, 6848, 1618, 2602, 2799, 6342, 1166, 418, 33, 1166, 418, 1312, 1491, 441, 685, 1079, 2625, 551, 1434, 1858, 368, 803, 1071, 1364, 7898, 352, 1611, 1261, 454, 1724, 2317, 1618, 2602, 5985, 4201, 11205, 287, 765, 4915, 9302, 4480, 1722, 1185, 1071, 1248, 1270, 564, 820, 1602, 1312, 3171, 8542, 87, 490, 352, 2856, 7899, 2766, 640, 620, 445, 16, 274, 6072, 1618, 2602, 1005, 761, 3356, 2435, 703, 551, 1166, 506, 441, 9172, 1599, 2166, 15975, 450, 10603, 856, 1491, 91, 75, 352, 582, 28, 812, 8149, 3128, 14, 2258, 1977, 1326, 1388, 1692, 276, 483, 1618, 2602, 263, 1141, 6745, 1618, 2602, 3859, 605, 1955, 1525, 454, 1722, 4213, 649, 1199, 748, 5647, 1935, 17459, 19936, 657, 529, 445, 370, 479, 10735, 3490, 906, 1988, 1230, 1618, 2602, 867, 815, 276, 80, 1618, 2602, 262, 1592, 500, 1250, 397, 4607, 6808, 5394, 2991, 2158, 1230, 2872, 2614, 1618, 2602, 340, 5860, 1618, 2602, 274, 6072, 665, 1618, 2602, 1005, 761, 14209, 1185, 2227, 3037, 2952, 1364, 644, 1431, 748, 1364, 644, 4087, 4839, 4915, 9302, 3356, 1682, 1682, 2776, 11623, 352, 5800, 1773, 607, 2991, 1602, 1259, 1071, 975, 786, 9327, 3746, 287, 5408, 5330, 1988, 1230, 3356, 1682, 2941, 3268, 768, 646, 1512, 940, 368, 397, 436, 500, 442, 1239, 804, 2807, 2183, 665, 906, 1057, 5493, 18790, 287, 765, 296, 11083, 3462, 1166, 418, 1312, 1491, 441, 685, 1940, 1053, 448, 1110, 1381, 1287, 757, 2653, 4756, 490, 1618, 89, 2602, 3757, 702, 1618, 2602, 13430, 3964, 20838, 15423, 299, 82, 77, 4293, 1722, 1185, 370, 479, 2653, 571, 4343, 19832, 1065, 382, 15849, 352, 7498, 1065, 262, 330, 368, 3959, 1787, 3103, 16, 454, 1189, 767, 14640, 1618, 2602, 4896, 1121, 2224, 1166, 418, 1312, 1491, 441, 685, 342, 11900, 14456, 489, 4430, 1431, 1713, 1400, 2532, 285, 566, 296, 11083, 5782, 685, 290, 3092, 87, 1618, 2602, 21512, 5294, 1722, 1185, 7007, 7718, 352, 2941, 5800, 368, 1095, 1520, 509, 1618, 2602, 6496, 1477, 922, 370, 479, 5515, 1713, 1400, 665, 2575, 2805, 377, 33, 4480, 500, 1302, 2300, 5625, 905, 2361, 940, 33, 274, 6072, 1618, 2602, 1618, 2602, 11150, 3964, 1618, 2602, 665, 1618, 2602, 340, 5860, 388, 1051, 644, 2531, 1833, 940, 846, 368, 1166, 418, 1312, 1491, 441, 685, 5272, 748, 436, 1713, 1400, 397, 10317, 1682, 1618, 2602, 2561, 3462, 5371, 436, 1165, 5771, 5647, 1424, 798, 3180, 888, 368, 5493, 804, 1286, 2086, 1053, 1441, 17377, 16, 2999, 2770, 9489, 2561, 3462, 665, 1618, 2602, 4480, 1722, 1185, 370, 479, 2733, 2054, 397, 1105, 1397, 1806, 2071, 415, 905, 860, 1919, 3, 1618, 2602, 91, 815, 1618, 6402, 2602, 3393, 1245, 1268, 1233, 1387, 897, 640, 368, 10708, 13657, 1305, 1100, 442, 3447, 5754, 368, 2209, 3142, 2214, 5338, 2602, 867, 815, 287, 765, 4915, 9302, 296, 11083, 5250, 397, 1095, 1314, 14, 620, 445, 1287, 757, 1419, 2644, 4812, 368, 803, 28, 532, 1640, 1035, 450, 409, 2561, 3462, 1618, 2602, 2073, 1210, 1042, 900, 768, 529, 500, 4460, 665, 1563, 821, 922, 2999, 2770, 620, 2380, 2050, 2872, 2614, 1618, 2602, 1166, 506, 760, 506, 733, 2126, 3353, 582, 489, 8093, 506, 6918, 506, 79, 1491, 352, 724, 2776, 2026, 82, 483, 632, 1370, 1239, 940, 846, 368, 6947, 3437, 74, 483, 274, 6072, 665, 4480, 1722, 1185, 370, 479, 6534, 5058, 1222, 1474, 2480, 2409, 352, 1231, 804, 397, 2067, 4222, 3994, 7353, 18790, 287, 765, 1832, 1821, 1618 ]
[ 1, 88, 604, 1618, 2602, 1166, 506, 15064, 69, 566, 4075, 1383, 1148, 953, 1706, 4634, 368, 1312, 75, 506, 1312, 75, 506, 1312, 75, 506, 2872, 2614, 5338, 2602, 1166, 418, 1312, 1491, 441, 685, 649, 1153, 940, 572, 768, 3437, 2995, 85, 1797, 1834, 15583, 728, 489, 1298, 656, 16, 287, 5408, 1618, 2602, 965, 6553, 2561, 1259, 1618, 2602, 10242, 3354, 2158, 14, 532, 370, 479, 615, 1801, 409, 1134, 1574, 397, 436, 532, 1053, 3959, 16, 6848, 3557, 2340, 740, 1783, 2533, 1592, 377, 3756, 620, 445, 640, 342, 397, 436, 5072, 2524, 16, 1618, 2602, 13910, 1618, 2602, 592, 261, 293, 605, 290, 309, 3356, 2435, 972, 448, 1768, 370, 436, 1265, 920, 782, 3646, 695, 14, 884, 377, 3806, 720, 1507, 867, 2093, 87, 786, 975, 5985, 4201, 1447, 9489, 3557, 2340, 1312, 75, 506, 1834, 483, 91, 483, 342, 436, 2506, 761, 897, 640, 2559, 2543, 2717, 13167, 740, 3104, 3994, 271, 773, 1039, 6612, 695, 1769, 16, 1618, 2602, 13430, 3964, 1618, 2602, 1970, 702, 9489, 2561, 3462, 4588, 635, 1166, 418, 1312, 1491, 441, 685, 582, 377, 589, 342, 3639, 2712, 454, 1724, 2317, 1618, 2602, 9489, 1166, 506, 760, 506, 14, 724, 2776, 448, 1814, 1507, 352, 521, 724, 2776, 7046, 1015, 529, 448, 3872, 8761, 368, 534, 1838, 1659, 2514, 287, 765, 4915, 9302, 263, 19, 6989, 293, 605, 1618, 2602, 13430, 3964, 1166, 418, 1312, 1491, 441, 685, 2561, 3112, 900, 768, 1883, 2224, 3856, 1257, 3639, 274, 6072, 1618, 2602, 271, 13283, 1166, 506, 441, 9172, 342, 436, 757, 1510, 1187, 572, 2942, 4705, 368, 1987, 1694, 14, 352, 415, 786, 867, 901, 551, 1166, 506, 441, 9172, 649, 448, 1187, 572, 920, 564, 5354, 1095, 15420, 5776, 1987, 1694, 1672, 1814, 2012, 274, 6072, 276, 483, 1618, 16052, 4480, 1722, 1185, 1071, 1248, 1270, 564, 820, 1602, 1312, 3171, 8542, 87, 490, 352, 2856, 7899, 2766, 640, 620, 445, 16, 1618, 2602, 24881, 1792, 15522, 14209, 1185, 370, 479, 3459, 4379, 3319, 2225, 804, 397, 13939, 1199, 564, 1326, 2090, 3319, 3539, 16, 302, 3735, 1618, 2602, 11150, 3964, 1832, 15528, 287, 765, 285, 670, 6575, 1941, 1259, 368, 1319, 567, 1298, 1057, 370, 479, 879, 1400, 4006, 352, 2424, 3540, 2532, 285, 566, 296, 11083, 5782, 685, 14209, 1185, 370, 2294, 1270, 1814, 1387, 503, 1471, 815, 298, 3657, 1170, 1858, 2872, 2614, 5338, 2602, 1618, 2602, 13430, 3964, 271, 13283, 1166, 506, 760, 506, 352, 724, 2776, 1814, 1507, 564, 479, 940, 1248, 1706, 1037, 1391, 6947, 3437, 74, 483, 1618, 2602, 1618, 2602, 91, 815, 986, 605, 15022, 11173, 950, 609, 519, 510, 79, 3211, 706, 377, 479, 2026, 993, 479, 436, 8792, 296, 6638, 946, 479, 5943, 1005, 761, 18608, 3917, 1618, 2602, 6989, 293, 605, 274, 6072, 271, 4970, 293, 998, 14209, 1185, 3473, 1737, 920, 620, 922, 448, 19266, 13011, 3666, 1162, 506, 2362, 849, 2872, 2614, 1618, 2602, 1618, 2602, 1821, 2877, 765, 528, 4025, 2736, 607, 1448, 2158, 370, 2907, 635, 450, 3354, 1382, 2844, 33, 6196, 2770, 9489, 4915, 975, 1618, 2602, 370, 9327, 3746, 14932, 10500, 1287, 1801, 934, 1534, 368, 1057, 509, 766, 2103, 632, 2416, 1037, 274, 6072, 1618, 2602, 340, 5860, 4722, 635, 500, 2118, 572, 1322, 1039, 7261, 4418, 1534, 1460, 1724, 646, 2300, 5625, 1640, 2605, 33, 1832, 15528, 287, 765, 287, 765, 4915, 9302, 1618, 2602, 274, 6072, 665, 1592, 1327, 1210, 1042, 900, 370, 906, 803, 640, 798, 534, 4084, 4389, 724, 975, 352, 436, 4233, 397, 920, 4311, 1370, 482, 932, 16, 2380, 2050, 4881, 1447, 1618, 2602, 3356, 1165, 5771, 5647, 582, 28, 812, 2609, 2184, 572, 1316, 1642, 1671, 2938, 734, 532, 833, 2143, 274, 6072, 665, 920, 571, 1520, 1170, 1618, 2602, 3080, 5931, 19318, 6910, 6556, 1512, 940, 740, 2361, 940, 12789, 80, 2787, 1269, 377, 1479, 1376, 454, 1039, 6612, 695, 9515, 2602, 13430, 3964, 4480, 1722, 1185, 6791, 7515, 489, 436, 2435, 703, 766, 16823, 436, 1424, 821, 665, 1613, 490, 6912, 2990, 2235, 422, 1018, 6703, 2303, 489, 2990, 2235, 3447, 293, 1572, 1091, 2999, 2770, 287, 5408, 975, 1988, 1230, 340, 17221, 1618, 2602, 1166, 506, 795, 414, 17002, 2367, 900, 632, 814, 509, 14, 620, 922, 2367, 1305, 798, 370, 814, 635, 509, 377, 3088, 28, 1540, 820, 368, 643, 606, 6441, 2916, 368, 529, 445, 1618, 2602, 450, 1412, 1419, 3393, 1245, 1268, 3452, 1397, 2071, 534, 352, 6918, 571, 411, 843, 11821, 2942, 3045, 2158, 1079, 13452, 14, 1503, 2942, 4705, 368, 3045, 2158, 1682, 6848, 3557, 2340, 1682, 6848, 3557, 2340, 920, 1682, 24881, 1792, 1618, 2602, 2831, 81, 3466, 370, 479, 1821, 6685, 489, 17136, 87, 1069, 2409, 1510, 442, 3757, 572, 740, 5771, 5647, 2999, 2770, 287, 5408, 9489, 9781, 1057, 448, 2986, 3632, 14, 733, 656, 734, 1222, 1474, 4421, 946, 6191, 823, 409, 1005, 607, 19784, 564, 2130, 75, 1391, 16, 2202, 1682, 702, 9489, 1682, 6848, 1181, 3557, 2340, 4480, 370, 479, 727, 3970, 1722, 1185, 1154, 479, 368, 2305, 388, 2093, 733, 454, 397, 1280, 2616, 1944, 16, 592, 261, 293, 605, 1618, 2602, 26, 14209, 1185, 14, 1722, 1185, 377, 3848, 1268, 489, 6201, 8825, 368, 409, 3, 20377, 1382, 3034, 738, 1869, 397, 2166, 274, 14707, 1182, 454, 1105, 1183, 1259, 1071, 368, 532, 16, 415, 1672, 1814, 2012, 9327, 3746, 5338, 89, 2602, 1166, 418, 1312, 1491, 441, 685, 2139, 4083, 607, 1035, 1037, 18188, 4349, 1768, 436, 397, 2872, 2371, 1618, 2602, 18141, 1592, 500, 1250, 397, 4607, 6808, 5394, 2991, 2158, 1230, 1618, 2602, 262, 5826, 80, 274, 6072, 592, 261, 293, 605, 986, 2206, 706, 897, 1847, 1915, 2388, 814, 635, 500, 2118, 572, 1322, 532, 720, 1705, 397, 1280, 1201, 274, 6072, 665, 1618, 2602, 377, 720, 4828, 14209, 1185, 342, 4965, 646, 6555, 448, 261, 368, 1312, 75, 12733, 92, 75, 657, 620, 922, 3352, 482, 377, 3675, 1035, 442, 16, 340, 862, 3407, 17318, 3183, 340, 8715, 86, 6462, 2733, 2054, 2561, 3462, 1618, 2602, 4480, 2067, 482, 397, 724, 22254, 377, 757, 7284, 665, 5179, 551, 4144, 1298, 1503, 14, 409, 1036, 3755, 768 ]
[ 1, 35, 73, 3924, 68, 6674, 1652, 1185, 1652, 917, 418, 1941, 1653, 261, 1652, 1185, 4218, 934, 1652, 1185, 2090, 1244, 4218, 934, 611, 48, 56, 12820, 577, 3338, 1326, 1054, 3338, 1326, 1054, 4218, 934, 3338, 1326, 1054, 4218, 934, 2203, 551, 1303, 3338, 692, 888, 3338, 757, 7262, 3338, 302, 5298, 21174, 302, 5298, 422, 418, 7718, 3338, 1065, 1061, 3338, 13170, 1326, 1054, 3338, 13170, 1326, 1054, 4218, 934, 3338, 6653, 3338, 2203, 873, 3959, 1222, 7454, 761, 846, 10933, 2906, 3338, 6653, 1326, 1054, 3338, 6653, 1222, 7454, 846, 337, 16779, 21174, 422, 418, 837, 3338, 2531, 7718, 3338, 2531, 7718, 6299, 3338, 422, 483, 3338, 422, 483, 1455, 1054, 3338, 422, 483, 1455, 1244, 22938, 2376, 4101, 3338, 1326, 1054, 4218, 934, 846, 4127, 5343, 4184, 1955, 1381, 1210, 1431, 3571, 4785, 934, 4785, 934, 7303, 1326, 1054, 1326, 1054, 4218, 934, 6386, 1054, 1621, 1330, 1326, 2661, 1210, 286, 88, 5124, 6230, 4256, 685, 1210, 1941, 1653, 261, 2779, 1955, 1381, 2779, 3142, 2361, 1370, 1713, 4628, 6128, 1713, 4628, 6128, 13271, 1713, 4628, 6128, 12381, 20, 1713, 4628, 6128, 271, 7374, 1713, 4628, 6128, 1079, 934, 1713, 4628, 6128, 1622, 3847, 1713, 1049, 67, 7486, 1713, 1455, 7486, 1713, 1455, 7486, 4628, 6128, 1713, 1455, 7486, 1748, 20, 1713, 1602, 6128, 4628, 6128, 15332, 1694, 4780, 262, 3200, 285, 10220, 4224, 3113, 10023, 1447, 920, 1326, 2661, 3338, 422, 483, 920, 1148, 953, 3338, 422, 483, 5877, 3872, 8986, 6103, 1362, 19989, 6128, 6128, 786, 1065, 6128, 4612, 6128, 266, 267, 6725, 6128, 846, 2799, 901, 6823, 8799, 19458, 1403, 1507, 12738, 1507, 436, 1397, 1806, 9043, 422, 267, 2594, 290, 483, 2376, 3338, 422, 483, 2116, 1460, 2766, 20703, 11003, 2766, 17936, 551, 1303, 2582, 1860, 1364, 1576, 720, 1602, 6128, 4628, 6128, 24907, 1840, 24907, 1840, 343, 12967, 1222, 7454, 761, 24907, 1840, 1941, 1110, 24907, 1840, 9808, 2203, 551, 1303, 1182, 761, 427, 3219, 1840, 2174, 10930, 692, 888, 263, 1469, 12037, 1210, 592, 4218, 343, 414, 5033, 1652, 1185, 5033, 1652, 1185, 1185, 1706, 5033, 1455, 3180, 5033, 10111, 1652, 1185, 343, 11955, 1602, 5058, 1520, 4238, 7506, 13251, 10341, 1403, 17017, 2524, 1814, 1403, 5988, 1381, 1883, 2620, 692, 5988, 1955, 1381, 5988, 1955, 1381, 3132, 3113, 5988, 9989, 5988, 3746, 1883, 1783, 12556, 814, 3058, 951, 1326, 1054, 4218, 934, 934, 1871, 2829, 3270, 1211, 2324, 1211, 2324, 1326, 1054, 1211, 2324, 1326, 1054, 4218, 934, 1211, 2324, 692, 888, 1211, 2324, 2515, 2112, 934, 1817, 223, 981, 8895, 24011, 1563, 24011, 1563, 1326, 1054, 24011, 1563, 920, 1783, 24011, 1563, 1431, 1431, 3571, 760, 947, 1563, 1431, 3571, 24011, 1563, 2766, 22938, 24011, 1563, 4218, 934, 18435, 733, 3957, 1222, 3593, 2269, 4078, 21374, 9360, 1941, 1110, 7168, 7168, 299, 3299, 7168, 1326, 1054, 7168, 1326, 1054, 1222, 7454, 7168, 1326, 1054, 6518, 3858, 7277, 7168, 1326, 1054, 4218, 934, 7168, 1326, 1054, 2203, 551, 1303, 1222, 7454, 7168, 1326, 1054, 2371, 3317, 7168, 1326, 1054, 266, 2106, 309, 91, 6518, 3858, 7277, 7168, 285, 8683, 7168, 2766, 17936, 7168, 2766, 20703, 11003, 7168, 3596, 1326, 1054, 7168, 343, 11955, 7168, 2515, 2112, 7168, 7272, 7405, 7168, 4889, 1783, 2405, 934, 1817, 3827, 254, 2269, 4078, 302, 3735, 17284, 22345, 85, 7448, 1362, 6556, 75, 10933, 2906, 3999, 1129, 7486, 14532, 10938, 368, 2380, 2050, 1148, 953, 13640, 87, 1431, 2540, 6518, 14781, 4256, 981, 546, 3317, 1672, 3317, 1672, 1326, 1054, 3317, 1672, 1326, 1054, 4218, 934, 3317, 1672, 2766, 10075, 3317, 1672, 8389, 10075, 3317, 1672, 461, 2697, 3317, 1672, 1602, 5058, 3317, 1672, 867, 1200, 14151, 2136, 1362, 13183, 6128, 9360, 3967, 3324, 5399, 4897, 1652, 1185, 4897, 1326, 1054, 4897, 2235, 2766, 10075, 15131, 1455, 7486, 4218, 934, 11051, 1362, 3414, 6299, 1652, 1185, 6299, 6498, 10319, 6299, 2559, 2543, 21506, 16893, 15522, 7909, 16893, 14554, 8158, 4624, 8158, 2514, 1326, 1054, 4218, 934, 8158, 2514, 814, 3058, 8158, 2514, 1597, 1245, 1391, 10952, 1146, 47, 1391, 10952, 1326, 1054, 1391, 10952, 2766, 2592, 1391, 10952, 16744, 1391, 10952, 8389, 2136, 1391, 10952, 1602, 2592, 1391, 10952, 1602, 2592, 14799, 757, 1737, 2259, 1412, 1843, 1412, 1843, 1737, 2259, 1412, 4120, 503, 42, 5459, 5734, 1326, 1054, 5734, 1326, 1054, 4218, 934, 5734, 1326, 1054, 2829, 8824, 5734, 5534, 5734, 287, 5116, 75, 5734, 4218, 934, 5734, 2559, 2543, 2203, 3338, 6653, 551, 1303, 2203, 3338, 6653, 5522, 11090, 551, 11082, 2203, 3338, 422, 483, 7342, 551, 1303, 7454, 761, 2203, 3338, 422, 483, 1222, 7454, 551, 1303, 2203, 3338, 422, 483, 846, 1303, 2203, 3338, 422, 483, 846, 10933, 2906, 2203, 3338, 422, 483, 4186, 12238, 4087, 3919, 2203, 2779, 1955, 1381, 1941, 1110, 551, 1303, 2203, 24907, 2174, 10930, 1941, 1110, 551, 1303, 2203, 951, 1326, 1054, 4218, 934, 551, 1303, 2203, 951, 1326, 1054, 551, 804, 1935, 1649, 706, 2005, 20384, 399, 1751, 1326, 1054, 551, 1303, 2203, 399, 1751, 2766, 3967, 2203, 7168, 3596, 1326, 1054, 1222, 1182, 761, 2203, 7168, 6518, 3858, 7277, 551, 1303, 2203, 223, 14707, 4186, 1222, 7454, 551, 1303, 2203, 223, 14707, 4186, 1222, 1182, 2203, 4101, 3338, 4218, 934, 551, 1303, 2203, 4032, 1222, 4705, 551, 1303, 2203, 4032, 551, 1303, 2203, 4032, 846, 10933, 2906, 2203, 4032, 1774, 972, 1222, 7454, 2203, 4032, 1774, 972, 1222, 7454, 551, 1303, 2203, 4032, 1774, 972, 637, 3399, 551, 1303, 12501, 2592, 2136, 325, 418, 12501, 2592, 993, 1924, 436, 4218, 934, 2829, 3270, 4612, 4612, 7690, 4612, 8225, 9175, 7972, 4186, 2766, 11276, 7972, 4186, 2766, 11276, 1222, 7454, 3987, 4472, 1667, 11276, 6991, 955, 655, 14594, 6991, 1563, 223, 14707, 4186, 2766, 11276, 655, 9217, 37, 422, 267, 3999, 1129, 422, 267, 266, 2617, 1471, 422, 483, 1455, 1054, 2203, 551, 1303, 422, 483, 1455, 1244, 422, 483, 1455, 1244, 1222, 7454, 761, 4602, 7669, 1602, 6128, 4628, 6128, 4101, 3338, 1326, 1054, 4101, 3338, 1326, 1054, 4218, 934, 4101, 3338, 1326, 2090, 4101, 3338, 2766, 1868, 2116, 4101, 3338, 4218, 934, 4101, 1326, 1054, 2203, 551, 1303, 837, 1371, 1370, 2673, 5069, 2215, 10664, 3037, 9281, 1448, 10323, 15112, 19989, 1362, 19989, 21374, 1951 ]
[ 1, 89, 8678, 1618, 8678, 24881, 1792, 23436, 4234, 2409, 368, 856, 3171, 795, 483, 7036, 87, 6208, 2632, 12328, 1834, 87, 24881, 1792, 16109, 3723, 266, 1547, 24421, 503, 868, 5067, 2449, 10565, 411, 1744, 67, 2787, 4829, 15798, 12837, 637, 637, 411, 1744, 67, 1980, 3945, 3357, 3571, 5732, 592, 86, 24881, 1792, 15522, 873, 2704, 21781, 5024, 564, 646, 19751, 285, 2744, 368, 797, 1434, 2409, 4503, 640, 3856, 14703, 665, 1613, 490, 343, 19750, 24670, 80, 24881, 1792, 3666, 2364, 2136, 3602, 2158, 10445, 572, 637, 14991, 2085, 2399, 624, 2248, 3171, 3447, 1847, 1645, 1748, 4603, 917, 1748, 4603, 24881, 1792, 24881, 1792, 266, 312, 19650, 5250, 509, 1370, 6160, 13875, 1397, 2196, 1924, 532, 2362, 6200, 442, 24881, 1792, 5306, 441, 2349, 5250, 509, 14, 458, 2019, 804, 397, 975, 3045, 3602, 352, 2103, 632, 2416, 3437, 17589, 3437, 74, 7883, 15583, 3, 6518, 2793, 82, 1792, 89, 807, 78, 3379, 1141, 6745, 2448, 998, 16109, 3723, 24881, 1792, 15625, 2042, 1166, 87, 74, 1797, 388, 623, 14123, 448, 1153, 1198, 1447, 4189, 450, 3837, 685, 528, 483, 263, 1141, 6745, 24881, 1792, 2448, 11949, 6848, 655, 1836, 86, 3, 950, 3283, 1563, 368, 12328, 1834, 87, 733, 665, 2868, 3839, 368, 436, 2417, 6848, 1905, 2804, 24881, 1792, 1618, 8678, 299, 5445, 24881, 1792, 1021, 483, 342, 9527, 503, 1082, 720, 1703, 1069, 2266, 352, 720, 296, 1751, 411, 562, 2190, 5931, 22170, 16, 24881, 1792, 20864, 20156, 15625, 2042, 1166, 87, 74, 1797, 388, 623, 14123, 448, 1153, 1198, 1447, 4189, 450, 3837, 685, 528, 483, 20864, 20156, 302, 6509, 24881, 1792, 1652, 1061, 463, 3217, 1618, 8678, 873, 5250, 509, 1209, 9919, 775, 3380, 1091, 7414, 2235, 1424, 9527, 12342, 12342, 16, 6777, 17515, 11723, 24881, 16730, 15522, 7524, 3, 10361, 2388, 368, 1834, 87, 4012, 15583, 2019, 804, 521, 3893, 3466, 3593, 2397, 3573, 5988, 3593, 285, 7882, 340, 1819, 9113, 24881, 1792, 24881, 1792, 411, 26, 11218, 81, 16629, 14331, 3, 10143, 798, 13167, 19769, 2787, 3602, 3856, 1257, 4006, 1035, 637, 2416, 1015, 6563, 528, 944, 14, 10260, 27, 24881, 16730, 4588, 2166, 9760, 4298, 2430, 2303, 1512, 940, 740, 1154, 479, 821, 922, 21936, 24881, 1792, 6848, 24881, 1792, 343, 82, 3356, 1713, 1400, 12328, 1834, 87, 377, 1305, 1100, 442, 646, 8298, 934, 2111, 1849, 4082, 5070, 551, 1157, 1892, 16, 299, 5826, 24881, 1792, 5189, 660, 1534, 3602, 2158, 352, 4618, 8058, 2432, 6242, 665, 1403, 1618, 298, 1905, 2804, 3596, 276, 8097, 75, 24881, 1792, 6207, 1713, 4889, 640, 1989, 22235, 14, 2802, 2009, 1834, 15583, 377, 1840, 7474, 797, 14, 884, 620, 370, 397, 651, 2941, 900, 632, 1105, 2756, 692, 368, 1834, 418, 16, 11205, 24881, 1792, 263, 1141, 6745, 7524, 3, 3184, 888, 1817, 6910, 6556, 1843, 572, 1902, 7228, 3414, 2787, 20817, 340, 3295, 24881, 1792, 263, 1141, 6745, 274, 309, 5321, 276, 16265, 24881, 1792, 5024, 564, 521, 4222, 993, 1817, 551, 782, 479, 940, 397, 3289, 1806, 2941, 5800, 271, 10298, 3327, 3698, 24881, 1792, 3184, 4607, 1448, 1713, 1400, 500, 7474, 2114, 761, 397, 3646, 7253, 1447, 3593, 9087, 5070, 24881, 1792, 17795, 2793, 76, 2793, 2448, 2843, 14560, 10895, 24881, 1792, 5250, 509, 620, 445, 22076, 757, 1091, 352, 582, 28, 11820, 2960, 1742, 14, 1977, 571, 1071, 2380, 2050, 740, 1222, 564, 1187, 16, 592, 86, 7867, 13088, 6314, 21348, 1220, 998, 7524, 3838, 3838, 3838, 3, 388, 1051, 644, 368, 6563, 528, 944, 377, 1053, 1334, 644, 489, 521, 528, 1926, 9505, 2417, 16, 592, 6748, 358, 10254, 24881, 1792, 411, 24881, 1792, 15522, 9432, 993, 1200, 14, 377, 370, 1170, 985, 635, 564, 23045, 3837, 483, 74, 1469, 3742, 6132, 1316, 1049, 1254, 454, 1219, 483, 85, 8414, 1397, 2429, 16, 266, 312, 19650, 15624, 1141, 5897, 24881, 1792, 9527, 12342, 766, 2962, 2397, 1871, 1140, 4214, 14, 2107, 2235, 572, 16, 223, 15812, 24881, 1792, 340, 71, 4247, 24881, 1792, 7671, 2540, 2630, 1849, 4450, 1838, 1659, 2514, 1512, 940, 2397, 1185, 1358, 2429, 1245, 7856, 24881, 1792, 3220, 1458, 1722, 1185, 377, 1424, 798, 6529, 2409, 740, 436, 19230, 528, 944, 3, 271, 9761, 24881, 1792, 263, 1141, 6745, 1618, 1471, 4057, 1141, 6745, 3184, 1534, 1460, 1849, 4450, 14331, 572, 637, 519, 4361, 75, 795, 414, 3, 24881, 1792, 340, 468, 82, 862, 5189, 1345, 888, 4082, 5070, 15271, 4812, 1525, 3056, 1634, 798, 1523, 368, 519, 566, 6558, 16, 24881, 1792, 343, 14109, 302, 6509, 685, 592, 91, 7031, 873, 16, 22, 1444, 4722, 635, 509, 657, 10185, 3234, 795, 2095, 14039, 81, 377, 3303, 3170, 448, 2118, 572, 3, 6518, 2793, 82, 1792, 72, 11949, 7524, 3, 19819, 3602, 2432, 6242, 665, 1245, 1326, 368, 8515, 1821, 3780, 13599, 24881, 16730, 572, 12951, 815, 263, 1141, 6745, 5250, 509, 14, 620, 445, 6242, 665, 397, 2166, 3338, 22033, 67, 14, 14434, 665, 370, 1305, 3112, 2424, 2639, 16, 302, 85, 78, 16730, 263, 1141, 6745, 5250, 509, 14, 620, 922, 1512, 940, 740, 3378, 2725, 489, 795, 4716, 87, 10989, 13088, 6314, 21348, 1220, 998, 299, 22165, 287, 463, 17438, 24881, 1792, 15522, 1872, 927, 3991, 7542, 1291, 1904, 1162, 71, 12100, 1119, 551, 1708, 1989, 1781, 1383, 368, 12238, 1689, 3417, 9172, 14, 1755, 489, 5647, 1935, 570, 855, 14876, 16, 299, 21925, 20199, 24881, 1792, 3356, 445, 2013, 1050, 768, 1312, 3171, 21327, 483, 91, 483, 14, 436, 370, 2111, 1849, 4082, 5070, 551, 2356, 1431, 761, 14, 500, 342, 24881, 1792, 1618, 298, 12485, 302, 24881, 16730, 263, 1141, 6745, 17598, 1675, 1298, 436, 454, 1154, 479, 500, 1377, 640, 397, 1459, 2409, 2942, 16, 24881, 11874, 271, 9476, 6207, 1713, 4889, 640, 1989, 22235, 14, 2802, 2009, 1834, 15583, 377, 1840, 7474, 797, 14, 884, 620, 370, 397, 651, 2941, 900, 632, 1105, 2756, 692, 368, 1834, 418, 16, 24881, 1792, 1905, 2804, 263, 1141, 6745, 15522, 302, 84, 10005, 8661, 815, 1618, 8678, 24881, 1792, 12181, 13403, 14, 436, 766, 2962, 4379, 1308, 740, 6152, 4459, 14, 637, 637, 2107, 2235, 16, 343, 20924, 3487, 24881, 1792, 5250, 509, 14, 620, 445, 302, 1532, 1091, 489, 436 ]
[ 1, 85, 78, 1792, 358, 6595, 9781, 436, 1424, 12333, 12333, 665, 5931, 1705, 368, 436, 2435, 703, 343, 3453, 5031, 358, 8503, 24881, 1792, 6794, 479, 993, 646, 368, 2480, 4082, 2630, 2136, 3, 22536, 740, 285, 2755, 1431, 14, 519, 4361, 75, 795, 414, 4936, 1257, 582, 16, 17795, 2793, 76, 2793, 24881, 1792, 263, 85, 8307, 24881, 1792, 2831, 81, 1110, 1400, 377, 479, 727, 5814, 1039, 10664, 1602, 1839, 368, 4785, 5364, 2315, 734, 2389, 77, 9732, 24881, 1792, 4588, 3045, 3602, 728, 649, 766, 3742, 6132, 388, 506, 12328, 2103, 1091, 290, 4717, 1618, 1471, 13661, 24881, 1792, 24881, 1792, 276, 285, 463, 1291, 619, 1552, 9043, 521, 1244, 1817, 2779, 1634, 2012, 3868, 3838, 3838, 24881, 1792, 7671, 2636, 2729, 5273, 10369, 352, 3088, 1050, 8392, 1091, 637, 4181, 3624, 24881, 16730, 24881, 1792, 592, 6748, 358, 10254, 3220, 1458, 1722, 1185, 377, 1424, 798, 6529, 2409, 740, 436, 19230, 528, 944, 3, 276, 2656, 67, 2347, 815, 302, 6509, 24881, 1792, 5250, 509, 564, 415, 804, 1121, 728, 1814, 3935, 415, 804, 1121, 728, 368, 409, 20864, 2676, 2024, 298, 20, 24881, 1792, 24881, 16730, 1376, 4189, 4480, 993, 646, 377, 1302, 7930, 4827, 33, 3837, 685, 528, 483, 454, 3682, 786, 8626, 263, 1141, 6745, 15522, 13088, 298, 1592, 448, 1964, 2080, 733, 2246, 2024, 2515, 1270, 4082, 5070, 3898, 1364, 368, 803, 846, 461, 7543, 1491, 14574, 20864, 20156, 287, 1491, 24881, 1792, 24881, 1792, 1800, 1312, 3171, 21327, 483, 91, 483, 14, 436, 766, 2962, 4379, 1308, 740, 4734, 14, 448, 2107, 2235, 16, 276, 1471, 69, 9523, 1618, 15460, 24881, 1792, 1834, 1797, 8542, 483, 14, 436, 766, 2962, 4379, 1308, 551, 3370, 454, 986, 605, 15022, 1021, 2364, 14, 637, 637, 2625, 4133, 290, 21602, 24881, 1792, 285, 3074, 285, 12485, 24881, 1792, 6848, 11814, 820, 342, 370, 2183, 1556, 2461, 5721, 1671, 7701, 24881, 1792, 19274, 3663, 22822, 2480, 2409, 368, 1319, 567, 1298, 436, 640, 489, 1403, 564, 1941, 1259, 1211, 1095, 24881, 1792, 1146, 70, 24881, 1792, 2448, 67, 5250, 509, 620, 445, 4936, 1257, 1424, 9527, 12342, 582, 28, 812, 1907, 377, 860, 1303, 5676, 4293, 370, 479, 4628, 1902, 2116, 2592, 368, 795, 4716, 87, 10989, 3, 3649, 3649, 363, 483, 85, 263, 9437, 24881, 1792, 643, 609, 3596, 368, 821, 922, 4298, 748, 352, 2589, 7137, 748, 941, 1345, 888, 4082, 5070, 1037, 1391, 803, 24881, 1792, 12000, 9554, 91, 24881, 1792, 263, 1141, 6745, 2602, 26, 1004, 2521, 91, 24881, 1792, 5250, 509, 1424, 1157, 1839, 1037, 1391, 290, 654, 69, 1685, 24881, 1792, 7524, 3, 3837, 685, 528, 483, 14, 436, 1843, 9763, 5162, 14, 377, 720, 1705, 4124, 302, 6509, 685, 280, 85, 1819, 1077, 24881, 1792, 285, 2188, 2448, 298, 1843, 24881, 1792, 427, 595, 8380, 377, 1314, 2283, 15141, 1482, 572, 1534, 4427, 2416, 1015, 3571, 5732, 24881, 1792, 4382, 5250, 509, 14, 397, 2052, 2927, 1563, 917, 1199, 4663, 1964, 620, 445, 14457, 1446, 1077, 4256, 546, 337, 20157, 24881, 1792, 24881, 1792, 280, 340, 1471, 5024, 2227, 3037, 768, 509, 342, 3812, 3365, 934, 532, 448, 798, 454, 1523, 1362, 4295, 368, 803, 14457, 1446, 1077, 4256, 546, 337, 20157, 24881, 1792, 856, 3171, 20887, 90, 4614, 833, 2405, 436, 4552, 1953, 6563, 3837, 13744, 1037, 6297, 441, 623, 2670, 24881, 1792, 24881, 1792, 276, 1819, 9182, 862, 3220, 534, 377, 1187, 798, 1672, 2324, 368, 856, 3171, 20887, 90, 4614, 665, 1613, 490, 16, 24881, 1792, 1421, 72, 1797, 427, 817, 1814, 1849, 2399, 1154, 479, 368, 1312, 3171, 21327, 483, 91, 483, 14407, 1944, 6777, 17515, 11723, 24881, 16730, 15522, 15522, 24881, 1792, 2776, 441, 2349, 223, 6462, 86, 302, 14782, 6228, 3380, 775, 3380, 3, 14661, 2166, 3338, 22676, 3602, 509, 377, 720, 1562, 2526, 24881, 1792, 16109, 382, 2355, 298, 4588, 436, 1326, 2090, 368, 9263, 701, 659, 9892, 14270, 370, 479, 1941, 1259, 489, 1403, 7856, 654, 13088, 298, 263, 1141, 6745, 263, 1819, 19364, 24881, 1792, 9263, 3893, 1211, 1507, 3, 986, 395, 2209, 2405, 436, 3856, 1257, 1153, 572, 1667, 2209, 4261, 6513, 1576, 263, 2871, 2343, 862, 266, 1797, 24881, 1792, 5250, 509, 2561, 1259, 262, 1785, 3713, 1091, 2707, 11623, 11087, 3712, 3, 24881, 1792, 276, 263, 1141, 6745, 15522, 11218, 7882, 24881, 1792, 21042, 1491, 352, 9397, 79, 1491, 342, 1108, 5364, 23791, 368, 10423, 5737, 1199, 12199, 795, 2095, 16, 2389, 77, 9732, 24881, 1792, 5250, 509, 14, 397, 3447, 5754, 5481, 302, 2390, 16042, 1035, 10351, 2565, 1838, 1659, 2514, 302, 16615, 24881, 1792, 266, 2106, 8607, 13088, 6314, 21348, 1220, 998, 5250, 509, 1458, 15861, 2129, 2915, 14, 1424, 9527, 12342, 12342, 582, 28, 923, 4163, 342, 482, 932, 16, 24881, 1792, 13088, 1819, 1068, 3184, 436, 1842, 941, 489, 5055, 5067, 2449, 2787, 4829, 17641, 2962, 2397, 3104, 9892, 14270, 368, 3289, 2388, 2690, 1510, 702, 24881, 1792, 2448, 8116, 6518, 2793, 82, 1792, 89, 807, 78, 3379, 1141, 6745, 5250, 509, 14, 620, 1305, 798, 768, 1154, 479, 368, 803, 766, 13183, 6128, 3, 20864, 9554, 9620, 24881, 1792, 1592, 448, 1801, 9738, 1141, 14, 1839, 3705, 9591, 5721, 368, 619, 1175, 1166, 87, 74, 1797, 5844, 2142, 24, 274, 4420, 302, 597, 1491, 20864, 2676, 2024, 298, 20, 24881, 1792, 5250, 509, 14, 620, 1424, 665, 1108, 436, 657, 1834, 87, 388, 16954, 2026, 615, 450, 646, 1441, 4936, 10260, 27, 24881, 16730, 263, 1141, 6745, 2073, 479, 377, 833, 1382, 782, 342, 1254, 24881, 1792, 16109, 3723, 266, 1547, 24421, 271, 546, 77, 1547, 24881, 1792, 2776, 441, 2349, 519, 2583, 4775, 6927, 4082, 5070, 728, 370, 2111, 1849, 4082, 5070, 637, 3795, 5023, 16085, 615, 695, 5023, 24881, 1792, 24881, 1792, 6848, 867, 815, 26, 503, 868, 5067, 2449, 10565, 411, 1744, 67, 2787, 4829, 15798, 12837, 637, 637, 411, 1744, 67, 1980, 3945, 4193, 2910, 69, 8959, 21965, 337, 2548, 77, 24881, 1792, 10260, 27, 24881, 16730, 503, 868, 5067, 3602, 411, 1744, 67, 1042, 4238, 572, 397, 2787, 4618, 266, 8000, 482, 3713, 3, 24881, 1792, 3596, 16422, 342, 2054, 1170, 564, 1502, 1248, 479, 901, 2078, 1455, 632 ]
[ 1, 7320, 4806, 3571, 22998, 24881, 1792, 4368, 4889, 1248, 1706, 28, 529, 409, 833, 1071, 4026, 436, 1199, 6518, 597, 24881, 1792, 6228, 3380, 775, 3380, 3, 14661, 2166, 3338, 22676, 3602, 509, 377, 720, 1562, 2526, 263, 1141, 6745, 1905, 2804, 2804, 2776, 90, 1145, 1291, 24881, 1792, 528, 780, 5754, 1849, 4450, 1153, 572, 637, 519, 10220, 6563, 528, 604, 276, 2548, 77, 418, 24881, 1792, 5250, 509, 14, 620, 922, 1259, 1983, 28, 1592, 940, 766, 1382, 3034, 571, 660, 734, 564, 1703, 1769, 368, 7403, 4082, 5070, 352, 1482, 572, 7403, 4082, 5070, 340, 1819, 3834, 302, 6509, 24881, 1792, 263, 1141, 6745, 1905, 2804, 2804, 856, 3171, 20887, 90, 4614, 1424, 798, 12328, 1834, 87, 14, 436, 3447, 2107, 2235, 16, 263, 9437, 24881, 1792, 3220, 458, 733, 564, 640, 397, 2090, 86, 1788, 4298, 740, 1563, 570, 5756, 1267, 271, 1094, 3322, 343, 3074, 298, 91, 24881, 1792, 1036, 7565, 24881, 1792, 5250, 509, 14, 620, 445, 1424, 798, 7744, 9016, 4082, 5070, 10142, 2075, 368, 790, 803, 12000, 9554, 14300, 24881, 1792, 8195, 798, 3447, 2514, 5059, 14, 620, 445, 582, 28, 4967, 342, 2054, 1170, 368, 532, 6777, 17515, 11723, 13088, 6314, 21348, 1220, 998, 685, 15522, 262, 5376, 16886, 24881, 1792, 4722, 635, 509, 657, 10185, 3234, 795, 2095, 14039, 81, 377, 3303, 3170, 448, 2118, 572, 3, 24881, 1792, 276, 263, 1141, 6745, 15522, 7524, 3, 9432, 3812, 1716, 733, 1634, 798, 397, 1667, 4612, 271, 8186, 3295, 1471, 1077, 24881, 1792, 24881, 1792, 343, 6745, 856, 3171, 20887, 90, 4614, 4714, 296, 2954, 1640, 442, 9794, 4124, 454, 2052, 16, 511, 6471, 309, 24881, 1792, 3393, 651, 521, 4082, 5070, 3848, 1268, 14, 370, 1108, 4082, 5070, 4231, 4418, 695, 16, 263, 1819, 19364, 24881, 1792, 12000, 2343, 1084, 266, 3723, 11112, 856, 3171, 20887, 90, 4614, 377, 6310, 302, 1870, 1523, 10262, 10186, 3118, 450, 12328, 1834, 87, 4256, 546, 74, 20157, 13088, 6314, 21348, 1220, 998, 6575, 2435, 2632, 368, 4958, 79, 7061, 1541, 6563, 6435, 448, 442, 797, 7898, 5211, 2409, 2779, 691, 615, 7856, 2793, 972, 24881, 1792, 4382, 263, 2411, 4367, 24881, 1792, 3356, 2416, 1037, 342, 6430, 856, 1491, 91, 87, 14, 436, 657, 388, 506, 12328, 691, 16, 592, 86, 13088, 298, 24881, 1792, 10469, 8727, 1706, 2449, 665, 5737, 1618, 815, 7978, 24881, 1792, 1618, 298, 10260, 24881, 1792, 856, 3171, 20887, 90, 4614, 691, 768, 12328, 1834, 87, 377, 833, 582, 1170, 985, 16, 271, 10298, 75, 1618, 8678, 24881, 1792, 427, 595, 8380, 377, 1314, 3602, 2158, 13441, 16201, 261, 1239, 3045, 368, 1834, 15583, 223, 2548, 12535, 592, 86, 24881, 1792, 20447, 6848, 24881, 1792, 4588, 1523, 582, 368, 655, 506, 1834, 418, 448, 2026, 640, 450, 534, 397, 2636, 3856, 727, 454, 2941, 900, 24881, 1792, 24963, 14331, 3, 11942, 1389, 814, 5374, 4082, 5070, 7898, 5211, 10023, 6128, 12000, 2343, 1084, 274, 12329, 24881, 1792, 262, 2877, 315, 3295, 24881, 1792, 3393, 651, 509, 370, 436, 1165, 1400, 657, 12328, 1834, 87, 448, 1071, 4026, 1037, 509, 16, 24881, 1792, 280, 5250, 509, 14, 620, 922, 1424, 6918, 11442, 483, 14, 436, 766, 5059, 620, 922, 24881, 1792, 290, 654, 69, 1685, 223, 2188, 1679, 24881, 1792, 856, 3171, 795, 483, 7036, 87, 18642, 1185, 1358, 2111, 1849, 368, 803, 665, 6088, 2209, 3319, 2409, 302, 84, 10005, 8661, 815, 1618, 8678, 5250, 509, 14, 397, 3447, 5754, 5481, 302, 2390, 16042, 1035, 10351, 2565, 1838, 1659, 2514, 274, 309, 5321, 276, 16265, 24881, 1792, 271, 10298, 75, 1618, 8678, 24881, 1792, 5199, 1257, 14, 534, 1153, 940, 572, 768, 1834, 1797, 5034, 87, 506, 352, 1834, 1797, 2843, 448, 607, 1358, 615, 1649, 7342, 2807, 2787, 3237, 16, 262, 1168, 24881, 1792, 2448, 11949, 6575, 2435, 2632, 368, 4958, 79, 7061, 1541, 6563, 6435, 448, 442, 797, 7898, 5211, 2409, 2779, 691, 615, 223, 15812, 24881, 1792, 24881, 1792, 2776, 441, 2349, 340, 468, 82, 862, 4480, 500, 450, 2125, 532, 4224, 1902, 4637, 1819, 1068, 8414, 3, 519, 4361, 75, 795, 414, 1391, 2807, 2514, 5059, 337, 1068, 24881, 1792, 624, 9007, 12205, 6655, 19230, 528, 944, 582, 28, 923, 9928, 2036, 1440, 879, 7768, 16, 285, 463, 1291, 263, 1141, 6745, 2448, 11949, 13088, 298, 271, 1094, 3322, 2910, 77, 24881, 1792, 4588, 3045, 3602, 728, 649, 766, 3742, 6132, 388, 506, 12328, 2103, 1091, 1856, 815, 654, 24881, 1792, 266, 1797, 9533, 24881, 1792, 4480, 4780, 2807, 2111, 1849, 2942, 4705, 10153, 1849, 4450, 19699, 24881, 1792, 17157, 24881, 1792, 3184, 1305, 3809, 1642, 3902, 1512, 940, 454, 2868, 3839, 1713, 5293, 263, 1141, 6745, 15522, 13088, 878, 21348, 1220, 10611, 6328, 2225, 14, 1370, 532, 352, 1370, 1265, 3352, 482, 377, 1210, 1042, 3325, 1035, 1004, 2521, 91, 24881, 1792, 592, 86, 7867, 24881, 1792, 2448, 11949, 340, 8715, 3585, 454, 651, 521, 436, 1199, 1769, 370, 2111, 1849, 368, 397, 795, 2095, 14039, 81, 370, 1840, 820, 263, 2871, 2343, 862, 266, 1797, 24881, 1792, 3342, 1015, 509, 3174, 397, 1233, 1387, 615, 1503, 490, 397, 1280, 1201, 33, 3557, 342, 458, 377, 1938, 934, 24881, 1792, 6518, 2793, 290, 6524, 24881, 1792, 1592, 370, 479, 1574, 1322, 16087, 6363, 862, 12199, 500, 6498, 8279, 450, 5409, 86, 9411, 14, 436, 448, 720, 1287, 21107, 1541, 415, 660, 1534, 1849, 4450, 290, 86, 24881, 1792, 856, 1491, 91, 87, 5409, 86, 9411, 649, 903, 2371, 6631, 624, 15068, 4637, 1819, 1068, 16126, 79, 16, 343, 1904, 14561, 24881, 16730, 280, 20070, 24881, 1792, 9263, 701, 659, 9892, 14270, 795, 2095, 14039, 81, 1869, 1319, 567, 9489, 665, 1105, 2756, 692, 368, 1021, 2364, 2779, 795, 2095, 14039, 81, 24881, 1792, 266, 19489, 7524, 3, 16825, 1849, 2445, 1419, 3602, 2158, 1814, 665, 10695, 2209, 1391, 7680, 766, 1843, 6848, 24881, 1792, 1905, 2804, 15522, 13088, 4667, 24881, 1792, 3184, 3045, 436, 4266, 940, 454, 3045, 2158, 2139, 4083, 615, 1755, 19230, 528, 944, 276, 26, 24881, 1792, 5250, 509, 409, 1424, 798, 436, 2435, 703, 2802, 3338, 22676, 3602, 607, 3872, 665, 1602, 454, 368, 1987, 2664, 8494, 13088, 6314, 21348, 1220, 998 ]
[ 1, 85, 78, 1792, 19274, 3663, 4588, 3045, 3602, 728, 649, 766, 3742, 6132, 388, 506, 12328, 2103, 1091, 24881, 1792, 1905, 2804, 263, 1141, 6745, 15522, 5250, 509, 14, 620, 922, 1512, 940, 740, 3378, 2725, 489, 795, 4716, 87, 10989, 2277, 274, 10780, 24881, 1792, 343, 3453, 5031, 358, 8503, 24881, 1792, 2448, 11949, 5024, 564, 2111, 1849, 352, 4078, 644, 368, 620, 922, 448, 442, 1703, 1091, 879, 797, 340, 6621, 24881, 1792, 5719, 1964, 8495, 3813, 2614, 6319, 11713, 14, 1211, 2324, 1244, 1121, 695, 761, 352, 3957, 1883, 368, 532, 19699, 24881, 1792, 263, 3663, 85, 78, 1792, 13978, 1460, 1849, 4450, 3856, 1257, 727, 5814, 5508, 4184, 24881, 1792, 285, 7882, 5250, 509, 7284, 1849, 665, 1708, 5737, 1525, 2417, 3, 6848, 271, 8607, 24881, 16730, 1618, 8678, 1618, 10611, 24881, 1792, 4588, 14861, 955, 2235, 657, 821, 922, 448, 1866, 3395, 564, 3742, 640, 6792, 1980, 397, 1280, 1201, 2277, 274, 10780, 24881, 1792, 21042, 1491, 352, 9397, 79, 1491, 342, 1108, 5364, 23791, 368, 10423, 5737, 1199, 12199, 795, 2095, 16, 24881, 1792, 337, 1068, 20864, 9554, 9620, 24881, 1792, 856, 3171, 20887, 90, 4614, 1866, 3395, 1559, 3824, 4082, 5070, 3319, 2409, 368, 803, 16, 4885, 82, 1084, 12485, 263, 1141, 6745, 7524, 3, 3193, 702, 1199, 448, 9439, 1756, 4460, 790, 2013, 665, 9038, 8626, 6910, 6556, 1652, 1061, 463, 3217, 1618, 8678, 873, 2776, 815, 12897, 15522, 263, 1141, 298, 1685, 4480, 442, 2013, 1100, 768, 4082, 5070, 3139, 1037, 1391, 409, 766, 2614, 1244, 665, 724, 14344, 5805, 2770, 3139, 16, 24881, 16730, 2602, 26, 14331, 3, 528, 3398, 3398, 22263, 397, 2707, 436, 448, 2915, 24881, 7543, 88, 6848, 24881, 1792, 2561, 3462, 3666, 2364, 1270, 1460, 6910, 6556, 1814, 665, 16997, 2776, 287, 6379, 13088, 6314, 21348, 1220, 998, 5250, 509, 14, 532, 833, 4224, 2561, 1259, 1902, 12199, 795, 2095, 9355, 3074, 3, 223, 2548, 12535, 592, 86, 24881, 1792, 271, 1094, 3322, 2910, 77, 24881, 1792, 3184, 3099, 24108, 13441, 16201, 261, 3301, 3884, 1512, 940, 1037, 2589, 1245, 2209, 2787, 5532, 15798, 985, 3964, 1267, 3637, 24881, 16730, 3859, 667, 620, 370, 2315, 5918, 7449, 846, 860, 1613, 509, 620, 377, 1382, 1035, 263, 1141, 6745, 15522, 24881, 1792, 2776, 441, 2349, 6518, 2793, 82, 1792, 72, 11949, 4480, 442, 1479, 660, 1308, 397, 2589, 1245, 2209, 570, 16981, 6918, 1446, 9002, 2787, 4618, 740, 1563, 16, 24881, 1792, 287, 414, 5250, 509, 1424, 19230, 528, 944, 3615, 6319, 28, 1592, 833, 1814, 1403, 489, 620, 6848, 24881, 1792, 2561, 3462, 592, 86, 4382, 24881, 1792, 528, 604, 7718, 368, 1989, 22235, 3602, 2158, 1838, 1659, 2514, 9782, 14051, 450, 521, 5450, 1705, 4124, 12089, 740, 1154, 479, 285, 7882, 340, 1819, 9113, 24881, 1792, 285, 463, 1291, 263, 1141, 6745, 2448, 11949, 13088, 298, 9781, 436, 879, 4897, 1388, 352, 1265, 3367, 703, 4788, 490, 13088, 4667, 24881, 1792, 302, 6509, 685, 280, 85, 1819, 1077, 24881, 1792, 2073, 479, 1645, 2579, 884, 879, 2632, 1869, 24881, 1792, 287, 414, 856, 3171, 20887, 90, 4614, 900, 632, 12328, 1834, 87, 14, 436, 448, 1768, 2962, 1525, 3056, 821, 271, 2347, 2089, 1905, 2804, 24881, 1792, 262, 807, 8791, 24881, 1792, 5400, 450, 1941, 1806, 368, 1157, 1839, 10678, 748, 24881, 1792, 343, 82, 16422, 342, 2054, 1170, 564, 1502, 1248, 479, 901, 2078, 1455, 632, 2166, 6529, 2409, 6088, 266, 312, 19650, 15624, 1141, 5897, 24881, 1792, 592, 86, 6985, 24881, 1792, 19206, 572, 397, 3900, 1211, 2036, 10375, 1239, 4524, 1817, 2787, 4829, 15798, 448, 6184, 1037, 263, 1141, 6745, 15522, 13088, 878, 21348, 1220, 10611, 3356, 2416, 1037, 342, 6430, 856, 1491, 91, 87, 14, 436, 657, 388, 506, 12328, 691, 16, 24881, 1792, 7856, 1618, 6073, 271, 11825, 24881, 1792, 3220, 1458, 1722, 1185, 377, 1424, 798, 6529, 2409, 740, 436, 19230, 528, 944, 3, 263, 3663, 85, 78, 1792, 5250, 509, 1458, 1441, 4936, 1424, 19230, 528, 944, 582, 28, 812, 4650, 342, 9527, 12342, 1692, 1618, 6073, 271, 11825, 24881, 1792, 7856, 654, 3715, 835, 24881, 1792, 5250, 509, 2514, 5059, 607, 632, 2380, 570, 5756, 1267, 607, 572, 16, 19274, 1084, 5376, 263, 1141, 6745, 6727, 567, 342, 2100, 368, 532, 3, 9265, 3646, 724, 358, 588, 3713, 6910, 6556, 6941, 740, 1391, 1871, 1618, 298, 299, 24881, 1792, 24881, 1792, 340, 468, 82, 862, 4480, 3788, 1320, 23732, 2105, 884, 370, 397, 2315, 2776, 2075, 454, 509, 302, 623, 4589, 20, 5250, 509, 14, 2397, 975, 1424, 1441, 5625, 368, 4082, 5070, 1345, 888, 377, 571, 635, 567, 12000, 2343, 1084, 266, 3723, 11112, 1748, 4603, 917, 1748, 4603, 24881, 1792, 3356, 1037, 1391, 509, 342, 1254, 33, 9372, 2303, 2464, 3, 8967, 1244, 1121, 3959, 511, 1419, 2136, 3181, 1400, 1302, 3, 5844, 2142, 24, 274, 4420, 302, 597, 1491, 1834, 1797, 8542, 483, 14, 436, 766, 2962, 4379, 1308, 551, 3370, 454, 986, 605, 15022, 1021, 2364, 14, 637, 637, 2625, 4133, 340, 1819, 3834, 302, 6509, 24881, 1792, 24881, 1792, 343, 82, 5250, 509, 1458, 3856, 1257, 720, 397, 4082, 5070, 1814, 9931, 4666, 16, 24881, 1792, 358, 6595, 5400, 450, 4761, 388, 1068, 78, 1168, 795, 2095, 14039, 81, 2300, 5625, 748, 564, 3474, 1902, 2317, 340, 6621, 24881, 1792, 340, 1819, 3834, 302, 6509, 24881, 1792, 5250, 509, 14, 4082, 5070, 724, 3139, 2107, 2990, 2235, 2807, 2052, 4298, 1421, 21547, 5516, 78, 1792, 3220, 1458, 1722, 1185, 377, 1424, 798, 6529, 2409, 740, 436, 19230, 528, 944, 3, 24881, 1792, 2448, 2185, 312, 20835, 24881, 16730, 271, 1547, 7209, 5024, 564, 377, 1314, 1503, 6563, 528, 604, 3065, 4075, 3, 24881, 1792, 271, 3834, 5250, 509, 790, 1387, 4756, 1387, 532, 3, 528, 780, 5754, 368, 1930, 4227, 1220, 3856, 14703, 1153, 572, 337, 1094, 815, 24881, 1792, 24881, 1792, 985, 3964, 1267, 5250, 509, 1298, 436, 1259, 1983, 2605, 615, 1987, 2664, 368, 2918, 1916, 24881, 1792, 1905, 2804, 2804, 643, 1744, 75, 15824, 2050, 9087, 5070, 740, 11706, 720, 15824, 2050, 9087, 5070, 950, 609, 11353, 1788, 1091, 489, 4236, 3573, 1788, 2787, 4829, 15798, 8058, 1788, 2448, 2106, 14467, 16109 ]
[ 1, 85, 78, 1792, 20864, 20156, 5250, 509, 637, 637, 2636, 665, 16329, 1050, 3370, 592, 86, 24881, 1792, 263, 1141, 6745, 2615, 4233, 2802, 3338, 4829, 352, 1434, 4082, 5070, 12250, 271, 2608, 4980, 482, 766, 1382, 397, 1057, 635, 509, 2069, 2300, 24881, 1792, 2448, 4289, 298, 1618, 6422, 24881, 1792, 2448, 4289, 298, 1618, 6422, 3393, 651, 509, 14, 2294, 1270, 4082, 5070, 1842, 2054, 1108, 4430, 489, 2294, 1270, 1050, 1434, 2614, 1244, 500, 1788, 1091, 24881, 1792, 296, 315, 1267, 2616, 597, 3975, 10469, 620, 5293, 2230, 1869, 1563, 1091, 1735, 1362, 3311, 8727, 16109, 382, 2355, 298, 263, 1141, 6745, 13088, 19593, 24881, 1792, 7524, 3838, 3838, 3838, 3, 11170, 567, 656, 795, 4716, 87, 10989, 4224, 1902, 879, 797, 282, 9160, 546, 4116, 89, 22213, 24881, 1792, 14331, 3, 1592, 1424, 798, 1057, 635, 509, 917, 1308, 397, 975, 22483, 985, 570, 5756, 1267, 4479, 572, 1308, 397, 1563, 16, 266, 88, 24881, 1792, 276, 15522, 263, 1141, 6745, 24881, 1792, 5306, 441, 2349, 5400, 450, 4761, 388, 1068, 78, 1168, 795, 2095, 14039, 81, 2300, 5625, 748, 564, 3474, 1902, 2317, 24881, 1792, 68, 19039, 5250, 509, 1834, 87, 76, 835, 2561, 1259, 2107, 6529, 2409, 1057, 1509, 352, 9114, 589, 570, 5756, 1267, 16, 2448, 11949, 4012, 86, 24881, 16730, 343, 77, 5250, 509, 1298, 436, 1259, 1983, 2605, 615, 1987, 2664, 368, 2918, 1916, 4612, 337, 1405, 24881, 1792, 1905, 2804, 5250, 509, 14, 409, 3474, 2001, 2664, 489, 397, 2190, 4147, 1742, 24881, 1792, 592, 86, 7867, 24881, 1792, 285, 463, 1291, 16232, 1460, 6910, 6556, 978, 3652, 637, 3378, 2725, 352, 1520, 6408, 450, 7092, 1562, 24881, 1792, 340, 862, 4667, 263, 1141, 6745, 856, 1491, 91, 87, 5409, 86, 9411, 649, 903, 2371, 6631, 624, 15068, 4637, 1819, 1068, 16126, 79, 16, 285, 10340, 340, 3197, 91, 24881, 1792, 271, 8607, 24881, 1792, 5250, 509, 14, 620, 445, 1964, 572, 2307, 1110, 1381, 1308, 4989, 657, 620, 445, 1100, 442, 637, 6430, 856, 1491, 91, 87, 24881, 1792, 223, 7061, 271, 1547, 7209, 4480, 442, 1479, 660, 1308, 397, 2589, 1245, 2209, 570, 16981, 6918, 1446, 9002, 2787, 4618, 740, 1563, 16, 271, 1094, 24881, 16730, 263, 1141, 6745, 15522, 24881, 1792, 2776, 441, 2349, 856, 3171, 20887, 90, 4614, 3447, 1441, 4936, 582, 28, 12007, 2230, 14, 12342, 12342, 377, 589, 436, 368, 4234, 6563, 903, 860, 33, 266, 1471, 654, 262, 623, 14123, 24881, 1792, 7524, 3, 427, 743, 3544, 720, 397, 1534, 665, 1563, 4274, 368, 3104, 3544, 551, 2071, 266, 312, 19650, 15624, 1141, 5897, 24881, 1792, 19725, 262, 807, 8791, 24881, 1792, 15522, 6207, 450, 3045, 8705, 368, 9999, 11900, 11317, 640, 4231, 9081, 564, 2269, 9107, 1637, 934, 16, 24881, 1792, 24963, 4480, 2399, 9999, 11900, 2367, 1721, 11670, 10694, 632, 521, 635, 442, 2184, 740, 509, 17795, 2793, 24670, 4366, 24881, 1792, 2776, 441, 2349, 9989, 6212, 441, 3487, 263, 1141, 6745, 795, 2263, 665, 1306, 1735, 2246, 2024, 490, 14, 620, 445, 377, 479, 665, 442, 33, 11318, 2009, 10669, 87, 9397, 78, 414, 7701, 656, 2661, 1170, 1298, 1057, 632, 1245, 901, 13088, 6314, 21348, 1220, 998, 685, 15522, 271, 546, 77, 1547, 9432, 993, 1200, 14, 1838, 567, 397, 4082, 5070, 10142, 2075, 377, 370, 2111, 1849, 4082, 5070, 649, 879, 2822, 2907, 16, 2448, 9826, 1068, 24881, 1792, 276, 2548, 77, 418, 276, 16265, 24881, 16730, 4588, 14861, 955, 2235, 657, 821, 922, 448, 1866, 3395, 564, 3742, 640, 6792, 1980, 397, 1280, 1201, 285, 2188, 2448, 298, 1843, 9527, 12342, 766, 2962, 2397, 1871, 1140, 4214, 14, 2107, 2235, 572, 16, 340, 12551, 1491, 1004, 2521, 358, 3487, 24881, 1792, 12174, 665, 509, 342, 646, 1036, 3755, 454, 2235, 276, 26, 24881, 1792, 3356, 2625, 757, 368, 7542, 1291, 1904, 1162, 71, 12100, 570, 16981, 22578, 9065, 691, 768, 620, 445, 766, 2625, 632, 2416, 803, 24881, 1792, 24438, 91, 2448, 3796, 20194, 262, 15870, 24881, 1792, 5250, 509, 620, 445, 1424, 798, 18238, 5731, 5731, 766, 9295, 12040, 1525, 1639, 24881, 1792, 263, 1141, 6745, 1905, 2804, 5250, 509, 14, 620, 922, 1964, 572, 397, 9163, 1742, 637, 397, 6809, 657, 21327, 483, 1166, 87, 377, 479, 1424, 798, 302, 6509, 685, 592, 91, 7031, 24881, 16730, 4382, 263, 2411, 4367, 24881, 1792, 4480, 500, 450, 2125, 532, 4224, 1902, 4637, 1819, 1068, 8414, 3, 519, 4361, 75, 795, 414, 1391, 2807, 2514, 5059, 343, 3453, 358, 8503, 24881, 1792, 10469, 620, 7081, 266, 769, 582, 28, 3356, 2303, 377, 3756, 640, 1801, 972, 551, 782, 16, 24881, 1792, 271, 11825, 20447, 6848, 24881, 1792, 6568, 1642, 3902, 656, 821, 922, 14, 436, 1831, 4494, 572, 4120, 9558, 14, 640, 370, 479, 582, 1479, 450, 5596, 3680, 314, 1670, 24881, 16730, 3397, 69, 6869, 368, 9263, 2644, 2100, 448, 370, 7498, 382, 4243, 3602, 740, 1154, 479, 16, 285, 309, 3715, 24881, 1792, 17795, 2793, 24670, 4366, 24881, 1792, 2776, 441, 2349, 3393, 651, 509, 370, 436, 1165, 1400, 657, 12328, 1834, 87, 448, 1071, 4026, 1037, 509, 16, 2448, 998, 16109, 3723, 24881, 1792, 2448, 11949, 6328, 2225, 14, 1370, 532, 352, 1370, 1265, 3352, 482, 377, 1210, 1042, 3325, 1035, 276, 2656, 67, 2347, 815, 24881, 16730, 3514, 274, 1145, 1068, 24881, 1792, 10361, 1520, 2723, 2480, 2409, 368, 856, 3171, 795, 483, 7036, 87, 448, 2952, 615, 3192, 3636, 1849, 761, 263, 83, 27, 73, 597, 1491, 5250, 509, 14, 397, 2052, 2927, 1563, 917, 1199, 4663, 1964, 620, 445, 8494, 24881, 1792, 10260, 27, 24881, 16730, 4480, 3788, 1320, 23732, 2105, 884, 370, 397, 2315, 2776, 2075, 454, 509, 266, 1145, 82, 3698, 1618, 8678, 24881, 1792, 3184, 3099, 24108, 13441, 16201, 261, 3301, 3884, 1512, 940, 1037, 2589, 1245, 2209, 2787, 5532, 15798, 285, 3074, 24881, 1792, 847, 1952, 262, 1168, 24881, 1792, 2448, 11949, 5250, 509, 620, 733, 665, 411, 935, 1556, 1550, 4400, 740, 1563, 24881, 1792, 4193, 2776, 279, 4589, 3393, 651, 509, 14, 370, 3959, 1843, 2756, 692, 2139, 293, 4025, 3193, 12535, 16, 445, 8775, 1444, 24881, 1792, 6848, 271, 8607, 24881, 16730, 1196, 872, 620, 445, 632 ]
[ 1, 5, 5959, 47, 4797, 52, 623, 4589, 4797, 48, 463, 2343, 3295, 5959, 47, 6306, 3282, 5828, 9947, 1567, 6956, 519, 550, 643, 1226, 1158, 21406, 9516, 10043, 388, 2877, 19285, 5431, 847, 1952, 9110, 20218, 1689, 2884, 528, 1255, 23165, 12978, 23580, 4589, 9516, 10043, 11403, 18355, 18962, 75, 1567, 6956, 519, 550, 16678, 1158, 21406, 388, 2877, 19285, 9516, 847, 1952, 9110, 20218, 1689, 2884, 528, 1255, 23165, 12978, 23580, 4589, 9516, 10043, 11403, 18355, 6912, 701, 2793, 6912, 9851, 1743, 1907, 10542, 7091, 16578, 16, 2104, 570, 468, 2104, 18042, 16, 519, 7519, 3282, 5653, 643, 3020, 17532, 16, 3371, 1477, 570, 468, 2104, 19482, 16, 23803, 5089, 5828, 3282, 20284, 16, 3857, 13042, 1196, 616, 20537, 16, 5071, 22822, 3425, 15705, 19171, 16, 2874, 5719, 17916, 16, 4728, 461, 434, 2073, 19312, 1800, 16, 43, 14110, 3184, 3356, 9422, 8993, 3291, 16, 1592, 6956, 4059, 16014, 2963, 16, 46, 6524, 299, 9695, 654, 72, 4341, 16, 17259, 1094, 7806, 4446, 16, 42, 4025, 2736, 8984, 2977, 16, 24183, 5071, 509, 4053, 16, 4293, 9570, 8984, 4533, 16, 6575, 20859, 519, 866, 19535, 3436, 16, 519, 544, 2214, 21296, 10043, 1524, 16, 2073, 635, 3098, 748, 9175, 14481, 81, 9726, 85, 17544, 847, 16, 8984, 5439, 16, 9570, 388, 1569, 8984, 6171, 16, 1477, 11873, 8984, 3282, 11253, 22689, 6292, 16, 1477, 9570, 16492, 3282, 4681, 16, 1477, 8984, 3282, 3282, 6306, 12978, 4435, 16, 5318, 8984, 3184, 3356, 9570, 13249, 22689, 6825, 16, 6077, 8984, 3282, 461, 3339, 1592, 503, 24021, 503, 24021, 6985, 16, 6207, 1592, 5044, 15023, 6495, 16, 619, 616, 6207, 19535, 16031, 7502, 16, 3282, 6306, 8984, 1477, 6306, 12978, 2566, 16, 23553, 795, 1098, 7771, 16, 1998, 381, 519, 4374, 8832, 16, 10440, 1930, 636, 223, 23537, 5024, 2872, 2614, 352, 1071, 4026, 7041, 564, 1382, 1721, 797, 12318, 1181, 761, 846, 28, 223, 23537, 5442, 4026, 17102, 82, 5860, 4898, 28, 12415, 2065, 15, 12415, 2065, 2065, 2065, 2065, 2065, 2065, 3956, 12415, 2065, 2065, 2065, 2065, 2065, 2065, 2065, 15, 12415, 2065, 2065, 2065, 1242, 3956, 3080, 1540, 820, 1268, 1637, 14, 5069, 2215, 14, 8909, 9868, 632, 1248, 1443, 1483, 1371, 489, 529, 409, 1035, 5263, 28, 2454, 623, 2893, 6372, 86, 318, 1168, 63, 4797, 268, 1061, 279, 546, 623, 4589, 4797, 268, 1061, 279, 546, 623, 4589, 4797, 358, 623, 4589, 19746, 4797, 86, 560, 670, 4797, 566, 79, 506, 69, 3273, 3975, 75, 4797, 69, 616, 74, 14972, 616, 13760, 4797, 70, 605, 74, 685, 77, 1589, 7926, 616, 4797, 85, 414, 73, 3487, 4797, 23043, 3589, 418, 4797, 286, 418, 3641, 2995, 79, 616, 4797, 86, 605, 13910, 87, 4797, 316, 463, 18994, 12999, 623, 4970, 18039, 3270, 1443, 4208, 2445, 632, 611, 10430, 16799, 10824, 7779, 795, 19189, 21276, 18844, 1567, 795, 19189, 427, 3295, 14943, 4717, 18844, 18039, 427, 3295, 14943, 4717, 12682, 503, 11271, 16639, 1567, 7779, 795, 19189, 21276, 22108, 1567, 18844, 3270, 13863, 15688, 24210, 10440, 4864, 249, 255, 7384, 2482, 86, 5687, 3637, 223, 175, 256, 244, 119, 28, 9756, 7788, 638, 50, 12940, 3858, 18597, 546, 11, 4864, 249, 230, 8195, 2101, 415, 532, 448, 4032, 1054, 3, 986, 997, 1387, 2856, 3537, 3, 5643, 19741, 19741, 19741, 19741, 19741, 19741, 19741, 19741, 19741, 19741, 19741, 19741, 31, 5643, 19741, 11620, 31, 388, 2045, 28, 620, 14, 620, 2135, 358, 623, 4589, 14, 262, 2877, 86, 3641, 8345, 5925, 358, 623, 4589, 14, 262, 2877, 86, 3641, 8345, 5925, 14, 3991, 1370, 14, 620, 370, 691, 14, 1370, 637, 1303, 14, 2653, 1370, 4348, 24415, 358, 623, 4589, 14, 3537, 358, 623, 4589, 14, 11303, 2343, 3295, 847, 1952, 14, 293, 1061, 262, 2877, 917, 77, 14, 917, 75, 1634, 14, 3357, 1140, 418, 867, 71, 87, 978, 414, 14, 2480, 867, 71, 87, 985, 1303, 358, 623, 4589, 14, 293, 418, 3237, 14, 8392, 1370, 358, 623, 4589, 14, 620, 370, 691, 358, 623, 4589, 14, 2653, 4979, 1370, 14, 293, 1061, 15624, 14, 293, 1061, 15624, 358, 623, 4589, 847, 1952, 293, 1061, 7044, 358, 623, 4589, 1181, 761, 14, 3537, 1774, 358, 623, 4589, 1587, 8939, 3868, 358, 623, 4589, 1181, 761, 4720, 14, 1748, 20025, 305, 560, 358, 623, 4589, 14, 3357, 695, 1265, 358, 623, 4589, 14, 821, 922, 500, 377, 2660, 640, 14, 1866, 3395, 1231, 632, 14, 2743, 1268, 358, 623, 4589, 14, 1140, 414, 837, 14, 358, 623, 4589, 6496, 14, 358, 623, 4589, 14, 2729, 1370, 358, 623, 4589, 14, 1748, 20025, 305, 560, 14, 293, 1061, 15624, 358, 623, 4589, 14, 1856, 10191, 262, 2877, 917, 77, 1181, 6496, 14, 445, 377, 370, 2690, 14, 1370, 1265, 358, 623, 4589, 14, 3537, 1774, 358, 623, 4589, 6496, 14, 3537, 262, 2877, 917, 77, 592, 86, 761, 940, 1230, 14, 1748, 20025, 2480, 14, 5640, 1801, 6647, 1015, 14, 8825, 888, 358, 623, 4589, 14, 276, 3449, 14401, 14, 2300, 768, 972, 691, 620, 897, 1265, 9340, 266, 3198, 14, 12000, 1196, 418, 14, 972, 6566, 620, 358, 623, 4589, 14, 972, 1801, 358, 4970, 358, 623, 4589, 14, 1737, 972, 358, 623, 4589, 14, 2532, 1856, 358, 623, 4589, 14, 1158, 21406, 388, 2877, 10192, 14, 293, 1061, 15624, 358, 623, 4589, 14, 293, 1061, 1774, 358, 623, 4589, 9340, 16, 343, 5405, 14, 1158, 21406, 14, 262, 2877, 917, 77, 14, 358, 623, 4589, 14, 358, 623, 4589, 223, 1168, 79, 14, 358, 623, 4589, 847, 1952, 14, 3537, 1774, 358, 623, 4589, 6496, 1181, 761, 940, 1230, 14, 3537, 1774, 358, 623, 4589, 6496, 14, 3537, 1774, 14, 3537, 15624, 14, 3537, 1774, 358, 623, 4589, 4720, 14, 274, 77, 3537, 1774, 358, 623, 4589, 14, 1483, 10191, 3537, 1774, 358, 623, 4589, 1181, 761, 14, 1181, 761, 6496, 358, 623, 4589, 14, 3537, 1774, 358, 623, 4589, 1695, 8389, 14, 337, 14277, 358, 623, 4589, 14, 223, 1168, 79, 2428, 11554, 14, 3537, 223, 1168, 79, 14, 3537, 223, 1168, 79, 6496, 3537, 223, 1168, 79, 358, 623, 4589, 14, 3537, 1774, 223, 1168, 79, 14, 3537, 358, 623, 4589, 14, 3537, 358, 623, 4589, 14, 3537 ]
[ 1, 73, 3322, 2328, 867, 26, 873, 436, 950, 1779, 3414, 368, 9665, 519, 566, 91, 87, 10308, 1653, 506, 9991, 3767, 6424, 3, 397, 2856, 2589, 9352, 82, 17221, 3220, 370, 479, 9692, 1868, 4275, 3713, 6869, 733, 342, 1540, 820, 2013, 4848, 14808, 3593, 6848, 3757, 702, 340, 17221, 223, 10298, 1145, 3834, 19778, 9172, 71, 18604, 528, 3834, 3, 3342, 532, 342, 2186, 2064, 5330, 2565, 454, 1854, 2892, 14, 409, 500, 450, 567, 660, 1069, 1645, 691, 6848, 271, 2431, 1491, 21146, 5550, 340, 69, 1477, 4365, 1919, 724, 5527, 82, 803, 665, 3099, 1563, 368, 2435, 620, 1057, 1108, 879, 22764, 4214, 352, 2328, 2649, 16072, 1358, 13167, 5734, 79, 271, 645, 79, 368, 803, 6848, 1556, 12789, 87, 262, 11999, 592, 4729, 623, 17227, 6772, 3453, 6848, 1592, 377, 370, 5829, 3139, 489, 436, 1140, 4214, 6869, 3994, 359, 14549, 1682, 6848, 20966, 340, 75, 12324, 3557, 2340, 427, 1744, 261, 7788, 1689, 424, 87, 740, 6655, 14, 10494, 1649, 500, 377, 1210, 1042, 1640, 1105, 16, 340, 17221, 2910, 274, 5986, 6848, 3757, 702, 740, 1783, 2533, 461, 1552, 12486, 352, 3524, 665, 3893, 1563, 368, 803, 489, 2215, 541, 7035, 6848, 340, 69, 1181, 2448, 11949, 11900, 23748, 6563, 3, 21327, 483, 76, 298, 9930, 2283, 615, 2356, 3459, 720, 6128, 12486, 3757, 702, 266, 88, 2602, 6848, 3757, 702, 1448, 1447, 15522, 6077, 1036, 3755, 14, 1501, 352, 415, 620, 368, 821, 922, 2227, 3037, 500, 564, 640, 397, 436, 734, 509, 564, 1326, 2090, 352, 4084, 4389, 821, 922, 16, 3378, 263, 1469, 1556, 12789, 87, 5199, 1257, 14, 3303, 833, 490, 377, 589, 368, 2469, 10542, 4699, 16, 2999, 2770, 287, 765, 11205, 280, 2901, 2575, 1856, 266, 1589, 87, 2620, 4670, 1582, 3, 3184, 724, 2215, 724, 274, 1346, 21582, 615, 2540, 2630, 740, 821, 922, 1057, 1522, 1431, 1364, 620, 2464, 3757, 702, 2448, 1077, 5175, 14737, 82, 5476, 85, 5199, 1257, 14, 2112, 1842, 1320, 646, 454, 2052, 761, 1095, 1269, 1305, 798, 4526, 14947, 16, 2202, 1682, 1187, 1065, 12747, 1618, 2602, 285, 8920, 654, 998, 2448, 11949, 8494, 340, 17221, 3220, 409, 2245, 768, 9407, 5731, 3751, 448, 4662, 571, 720, 1705, 415, 5770, 2036, 368, 4775, 6927, 10159, 74, 15583, 1037, 2085, 4459, 16, 4186, 302, 6509, 1618, 9732, 427, 843, 724, 8055, 975, 12486, 12250, 271, 2608, 649, 837, 1383, 1424, 1035, 11218, 9141, 2575, 1856, 2202, 1682, 358, 2546, 81, 2868, 3104, 1021, 2739, 1105, 14, 5092, 4247, 309, 5029, 4806, 795, 20924, 643, 3234, 649, 377, 370, 1370, 1305, 489, 620, 445, 16, 6848, 2012, 271, 957, 4239, 3557, 2340, 3184, 724, 2215, 1199, 1091, 489, 5962, 1391, 4618, 2575, 1856, 18556, 985, 75, 978, 414, 6848, 1556, 12789, 87, 6496, 5727, 342, 409, 798, 3290, 2205, 724, 803, 370, 479, 1713, 2324, 1119, 3447, 1036, 3755, 16, 358, 75, 3295, 17221, 3356, 448, 1482, 1119, 1166, 7236, 3198, 482, 2742, 1042, 790, 342, 15839, 4622, 1316, 2036, 368, 10073, 21490, 2575, 702, 4715, 685, 6848, 2448, 11949, 2448, 10172, 3557, 2340, 1682, 2653, 5199, 1257, 14, 1015, 509, 821, 1306, 3135, 489, 3729, 2224, 368, 903, 3729, 528, 7236, 11409, 483, 14, 397, 786, 2112, 6547, 1520, 454, 1095, 1642, 2799, 4552, 16, 2575, 1856, 985, 75, 978, 414, 6496, 5199, 1257, 14, 1015, 509, 821, 1306, 3135, 489, 3729, 2224, 368, 903, 3729, 528, 7236, 11409, 483, 14, 397, 786, 2112, 6547, 1520, 454, 1095, 1642, 2799, 4552, 16, 1682, 6848, 3557, 2340, 740, 302, 3735, 302, 623, 1874, 74, 6077, 1424, 6430, 427, 75, 368, 903, 3729, 724, 692, 14, 342, 397, 3182, 903, 879, 5500, 3466, 14, 377, 691, 370, 589, 905, 1302, 274, 1407, 274, 7307, 352, 6703, 2303, 1181, 377, 16, 521, 6848, 740, 266, 3559, 597, 3557, 2340, 4967, 342, 1305, 3112, 657, 409, 837, 1383, 757, 1510, 454, 2868, 3839, 803, 3786, 1556, 12789, 87, 266, 1797, 12485, 3757, 702, 5394, 1597, 5199, 1257, 14, 409, 1305, 798, 3557, 10500, 656, 564, 2584, 409, 3118, 1302, 797, 1121, 965, 2480, 2409, 450, 703, 922, 16, 263, 2185, 3834, 14111, 280, 15162, 6848, 5550, 2448, 11949, 3220, 2742, 1042, 409, 1424, 637, 2373, 8917, 2915, 358, 1255, 15399, 352, 11904, 3540, 740, 5962, 1391, 368, 24400, 856, 1491, 6145, 5873, 1141, 418, 2901, 15522, 6923, 1351, 3757, 702, 352, 9093, 6949, 821, 454, 3087, 1871, 263, 10666, 339, 1048, 368, 5771, 1351, 21651, 6848, 5721, 1754, 414, 15522, 7174, 685, 3657, 1219, 483, 3869, 261, 14, 436, 775, 5465, 16738, 821, 2007, 2802, 3338, 4829, 766, 2654, 20073, 3692, 821, 582, 16, 6848, 3757, 702, 1376, 4189, 9327, 3746, 6848, 1814, 2012, 271, 957, 4239, 15522, 5250, 509, 14, 620, 445, 582, 489, 2224, 4788, 724, 692, 14, 436, 448, 2019, 804, 397, 724, 692, 1199, 6848, 1556, 12789, 87, 358, 2877, 88, 315, 3220, 409, 377, 370, 1316, 1642, 1233, 1915, 734, 632, 738, 615, 509, 16, 9069, 450, 75, 7174, 685, 22775, 967, 6848, 3757, 702, 5377, 263, 604, 352, 1206, 22469, 13703, 803, 551, 1503, 3370, 761, 368, 276, 618, 3713, 285, 3074, 285, 1614, 7117, 340, 17221, 21416, 1834, 75, 91, 506, 1689, 3171, 76, 1797, 352, 1166, 7236, 3198, 795, 483, 76, 1797, 342, 2186, 3986, 2069, 5615, 761, 368, 620, 922, 20447, 73, 597, 1168, 81, 5014, 87, 414, 263, 1220, 1618, 2602, 274, 88, 2602, 15522, 263, 1141, 6745, 17035, 8055, 975, 12486, 489, 2649, 1391, 24249, 4087, 14, 409, 798, 397, 436, 2435, 703, 3788, 879, 1182, 7889, 16, 340, 17221, 5550, 2448, 1797, 5031, 2448, 11949, 22822, 1071, 1689, 3171, 76, 1797, 1834, 75, 91, 506, 14, 436, 5293, 2230, 5515, 2009, 620, 922, 766, 4526, 2640, 14, 620, 922, 3474, 607, 2202, 1682, 7871, 1448, 15522, 3557, 2340, 4881, 21285, 343, 1886, 5199, 1257, 14, 6918, 506, 13095, 1689, 3171, 76, 1797, 1269, 1327, 1695, 442, 1833, 1121, 450, 3437, 967, 92, 967, 12733, 92, 1797, 16, 2202, 1682, 3757, 702, 6848, 2328, 11900, 23748, 6563, 3, 21327, 483, 76, 298, 9930, 2283, 615, 2356, 3459, 720, 6128, 12486, 1682, 285, 8920, 654, 998, 2209, 1447, 340 ]
[ 1, 73, 3322, 1244, 3477, 15522, 3557, 2340, 9758, 1817, 368, 521, 2572, 2042, 6869, 442, 23952, 500, 2428, 3987, 4472, 352, 411, 3250, 14217, 3087, 1871, 368, 660, 1069, 1645, 691, 16, 2202, 1682, 8215, 6733, 14659, 15522, 1021, 2739, 1105, 14, 6918, 506, 13095, 1689, 3171, 76, 1797, 377, 837, 1383, 615, 15296, 91, 4461, 414, 665, 415, 906, 454, 2494, 2575, 1856, 11218, 87, 287, 5408, 1747, 5084, 3220, 458, 377, 1955, 3112, 1254, 1424, 397, 724, 1649, 4348, 733, 691, 1806, 5402, 445, 489, 2435, 724, 3, 21651, 3729, 897, 370, 479, 1955, 3112, 33, 511, 1411, 6733, 702, 5469, 2066, 4993, 454, 3099, 1563, 368, 1501, 290, 1084, 18676, 271, 1471, 298, 20145, 340, 17221, 2575, 2901, 1483, 2005, 5727, 342, 409, 798, 3290, 2205, 724, 803, 370, 479, 1713, 2324, 1119, 3447, 1036, 3755, 16, 2380, 2050, 1682, 21285, 6518, 2793, 427, 1532, 6809, 4101, 3338, 368, 10073, 21490, 11539, 4492, 103, 14, 7768, 1189, 4377, 582, 340, 17221, 1618, 8243, 9732, 2575, 12264, 81, 4589, 87, 4480, 733, 342, 397, 5931, 1705, 1919, 14, 884, 649, 442, 4628, 5270, 1541, 2480, 2409, 1316, 2036, 368, 6918, 506, 13095, 1689, 3171, 76, 1797, 340, 17221, 1618, 6402, 6306, 24826, 864, 24021, 352, 293, 597, 3113, 748, 521, 724, 6869, 733, 691, 9930, 1709, 80, 2448, 11949, 340, 17221, 266, 21613, 4208, 6848, 263, 2185, 9594, 21146, 3220, 2742, 1042, 409, 1424, 637, 2373, 8917, 2915, 358, 1255, 15399, 352, 11904, 3540, 740, 5962, 1391, 368, 24400, 856, 1491, 6145, 6848, 15341, 2328, 370, 4189, 1477, 4479, 7266, 1523, 436, 2589, 3461, 352, 582, 1919, 16, 1556, 20762, 87, 1146, 4186, 1618, 2602, 3220, 656, 1634, 946, 4045, 1919, 3852, 2501, 3, 397, 2856, 2589, 415, 2202, 1682, 740, 302, 3735, 363, 12582, 352, 9093, 6949, 821, 454, 3087, 1871, 263, 10666, 339, 1048, 368, 5771, 1351, 21651, 2448, 11949, 6848, 1933, 8678, 546, 9069, 450, 75, 7174, 685, 3657, 343, 1469, 1622, 2575, 5854, 619, 3120, 1849, 1154, 479, 1919, 2066, 368, 803, 665, 3099, 1563, 368, 436, 620, 2464, 1057, 1108, 1832, 287, 765, 4915, 9302, 5199, 1257, 14, 370, 879, 797, 1057, 740, 1973, 442, 1482, 572, 397, 920, 1370, 6160, 14, 2994, 1774, 490, 3806, 5202, 14, 1838, 567, 397, 786, 2112, 649, 500, 1645, 442, 814, 509, 16, 340, 3641, 14820, 7867, 340, 17221, 299, 73, 4269, 2343, 20836, 87, 1588, 16824, 572, 2112, 1842, 368, 1951, 6927, 1166, 418, 7229, 92, 414, 352, 2405, 458, 564, 1891, 3986, 450, 3437, 967, 92, 967, 3786, 3557, 2340, 18654, 266, 1145, 2548, 9594, 2389, 309, 6230, 2073, 589, 1891, 3986, 1181, 724, 436, 33, 3220, 409, 377, 582, 768, 532, 377, 479, 2405, 620, 445, 564, 1891, 3986, 450, 75, 1748, 1856, 5418, 3786, 2202, 1682, 2328, 761, 2202, 1682, 6916, 262, 3200, 24579, 1705, 748, 1800, 16, 1544, 1280, 1821, 489, 1349, 2066, 10938, 3346, 79, 733, 691, 13011, 5059, 803, 3, 6848, 1181, 450, 340, 69, 3557, 2340, 8375, 720, 397, 2114, 1211, 901, 1287, 2605, 4993, 615, 1503, 4658, 1716, 790, 2064, 564, 2775, 2324, 16, 6848, 3757, 702, 2990, 4189, 340, 17221, 2343, 9374, 5031, 5434, 358, 6595, 20864, 2676, 12007, 2266, 482, 9157, 1419, 14, 2035, 2266, 482, 920, 1326, 2661, 14, 1503, 2424, 3540, 1187, 798, 16, 2999, 2770, 287, 5408, 2634, 9222, 3220, 905, 798, 1194, 2469, 368, 803, 377, 572, 635, 14, 1119, 1689, 3171, 76, 1797, 6918, 506, 13095, 377, 11453, 1574, 16, 6848, 340, 17221, 1447, 1320, 340, 17221, 2448, 11949, 340, 8715, 15522, 3514, 20838, 15423, 85, 8330, 79, 821, 922, 352, 1053, 620, 922, 607, 615, 7448, 18790, 955, 564, 1382, 340, 17221, 363, 998, 3595, 1326, 415, 4775, 5770, 1977, 15256, 5058, 521, 5931, 3713, 509, 1682, 2012, 19274, 81, 3557, 2340, 4622, 3757, 702, 1146, 70, 15522, 5199, 1257, 14, 646, 1512, 940, 368, 1162, 566, 2871, 4958, 90, 835, 377, 2428, 572, 1302, 797, 1479, 1376, 454, 804, 1935, 503, 4509, 87, 16, 1682, 6848, 2448, 11949, 2448, 10172, 3557, 2340, 740, 302, 3735, 3220, 620, 4365, 1919, 2066, 3331, 1649, 1305, 798, 1671, 9353, 4082, 5070, 979, 370, 454, 1121, 2938, 2409, 490, 1854, 1157, 7701, 16, 6848, 2328, 6848, 2328, 6848, 2328, 6848, 2328, 3786, 6733, 10153, 3593, 1477, 4479, 7266, 1523, 436, 2589, 3461, 352, 582, 1919, 16, 302, 3735, 263, 1220, 1618, 2602, 3220, 1015, 509, 567, 1108, 1801, 7930, 4827, 657, 377, 2088, 1170, 985, 16, 2012, 465, 105, 2575, 1856, 340, 69, 15522, 17507, 785, 14, 454, 1955, 1069, 3639, 2712, 14, 1840, 5392, 651, 1460, 4524, 1817, 454, 1955, 1069, 3639, 2712, 2202, 1682, 302, 597, 2920, 1976, 8330, 79, 724, 1649, 4348, 1919, 303, 2390, 1015, 656, 22354, 1834, 75, 91, 506, 1689, 3171, 76, 1797, 1308, 4663, 15726, 1919, 368, 803, 14, 620, 448, 2986, 3632, 2660, 1231, 640, 18178, 790, 16, 287, 765, 4915, 9302, 1618, 16052, 2380, 2050, 920, 1287, 1362, 1556, 12789, 87, 9570, 2184, 458, 450, 397, 724, 2215, 2421, 5948, 14, 436, 448, 2245, 615, 821, 922, 352, 14540, 12345, 20447, 1800, 15522, 340, 17221, 340, 8715, 2656, 1834, 15583, 1834, 1491, 4298, 352, 7887, 2962, 2660, 6655, 640, 489, 397, 972, 2066, 6869, 3602, 4622, 3757, 702, 1376, 4189, 846, 1618, 2602, 3757, 702, 427, 843, 724, 8055, 5577, 4298, 5515, 274, 2003, 489, 6971, 19769, 9760, 22483, 821, 972, 2007, 10718, 302, 606, 352, 10874, 1091, 3757, 2901, 92, 1976, 3220, 532, 377, 479, 1448, 2802, 2303, 656, 897, 1774, 14, 532, 370, 479, 33, 302, 597, 623, 15969, 10387, 3786, 702, 7887, 3769, 1685, 3895, 532, 377, 450, 607, 14, 532, 500, 342, 397, 724, 10153, 2069, 1705, 823, 10189, 262, 11999, 340, 17221, 20872, 6230, 2355, 2073, 589, 1891, 3986, 1181, 724, 436, 33, 3220, 409, 377, 582, 768, 532, 377, 479, 2405, 620, 445, 564, 1891, 3986, 340, 17221, 337, 22971, 358, 6595, 302, 597, 1491, 15522, 340, 17221, 8330, 79, 821, 922, 352, 1053, 620, 922, 607, 615, 7448, 18790, 955, 564, 1382, 6848, 879, 2328, 3220, 905, 1988, 1230, 409, 615, 782, 7793, 3593, 905, 798, 1157, 1839, 377 ]
[ 1, 441, 780, 6848, 287, 87, 263, 1141, 6745, 2073, 370, 1370, 1305, 489, 620, 445, 3786, 6848, 21285, 917, 11218, 1491, 16647, 3220, 2435, 724, 2215, 368, 409, 879, 9692, 16782, 352, 2424, 1705, 19699, 340, 17221, 266, 21613, 285, 1491, 81, 20, 11150, 3964, 4028, 757, 14, 620, 922, 833, 1599, 24400, 856, 1491, 76, 1491, 1231, 640, 15296, 91, 4461, 414, 2202, 1682, 2918, 1916, 3859, 470, 8055, 12486, 4993, 1015, 6725, 4781, 3056, 7898, 965, 657, 358, 1898, 803, 2575, 2901, 74, 23, 299, 82, 77, 20838, 15423, 3757, 702, 3854, 1510, 3769, 1685, 5371, 720, 1574, 18642, 15420, 6848, 1559, 1858, 340, 69, 12007, 2266, 14, 1269, 897, 879, 797, 3586, 5521, 2445, 6927, 790, 2532, 482, 7899, 3873, 14, 8296, 16576, 979, 442, 2661, 1170, 1541, 521, 436, 3237, 266, 909, 352, 370, 1270, 1534, 16, 3757, 702, 18050, 1351, 299, 82, 77, 450, 75, 11326, 21765, 23511, 11218, 8698, 4512, 7174, 685, 3657, 2073, 450, 3437, 967, 92, 967, 397, 5962, 1391, 1182, 571, 5450, 1705, 2868, 3839, 368, 4365, 2464, 1919, 660, 1069, 3757, 702, 873, 70, 5199, 1257, 14, 1322, 620, 2464, 368, 821, 922, 370, 1095, 1314, 564, 2107, 7448, 18790, 955, 656, 620, 922, 17784, 13815, 2376, 702, 1376, 5377, 3757, 702, 285, 5826, 69, 3220, 409, 1424, 798, 2593, 2215, 724, 766, 11345, 2915, 2962, 1157, 2723, 489, 620, 922, 285, 3074, 15522, 340, 17221, 21146, 3220, 814, 2399, 1434, 2112, 490, 1305, 798, 12935, 3503, 352, 12935, 3503, 342, 2435, 724, 490, 615, 637, 6927, 624, 2122, 1219, 1043, 16, 1682, 12268, 15522, 18885, 296, 11083, 5782, 685, 7174, 685, 3657, 2161, 4186, 6848, 7174, 685, 3657, 450, 340, 69, 8330, 79, 397, 2435, 724, 12250, 271, 2608, 370, 2230, 342, 2424, 1705, 761, 660, 1069, 5031, 3924, 75, 290, 2786, 2431, 340, 17221, 1477, 445, 2252, 450, 620, 1634, 632, 1105, 3966, 3856, 2071, 15129, 5364, 11539, 2036, 10073, 21490, 352, 1834, 2093, 79, 4471, 11539, 8297, 16, 3757, 702, 2540, 6937, 15522, 340, 17221, 724, 80, 318, 1084, 2395, 3220, 905, 436, 5211, 1883, 2224, 993, 646, 1305, 798, 370, 2100, 489, 2435, 724, 368, 803, 1618, 6402, 340, 17221, 20872, 276, 16265, 3220, 6918, 506, 13095, 1689, 3171, 76, 1797, 733, 766, 19266, 13011, 814, 1919, 13875, 490, 16, 6733, 702, 6518, 2793, 82, 1792, 337, 23, 2575, 1856, 19644, 3220, 905, 620, 4365, 1919, 2066, 490, 649, 370, 2532, 1667, 1182, 454, 1069, 1140, 4214, 4965, 2075, 2565, 5721, 16, 592, 4729, 623, 1787, 4967, 342, 1305, 3112, 657, 409, 837, 1383, 757, 1510, 454, 2868, 3839, 803, 450, 75, 263, 1141, 6745, 24219, 88, 2656, 7316, 358, 2095, 10959, 3559, 4480, 370, 837, 1388, 748, 2108, 1183, 368, 879, 797, 901, 1244, 368, 532, 448, 4460, 1980, 5173, 1069, 377, 33, 2575, 1856, 11150, 3964, 5199, 1257, 14, 790, 905, 932, 14, 2052, 1182, 368, 436, 1140, 4214, 624, 2122, 1219, 1043, 1157, 489, 1248, 1706, 263, 7224, 91, 19725, 19715, 340, 17221, 274, 1141, 276, 16265, 274, 4420, 340, 17221, 20872, 6230, 15069, 8330, 79, 724, 2215, 3911, 87, 10004, 368, 803, 14, 620, 445, 1640, 607, 6848, 2328, 3987, 1448, 837, 1219, 1870, 397, 2594, 2640, 1199, 5873, 1141, 418, 2901, 873, 70, 1652, 2834, 867, 21950, 3047, 340, 17221, 8330, 79, 724, 2215, 3911, 87, 10004, 368, 803, 14, 620, 445, 1640, 607, 2202, 1682, 340, 3641, 623, 414, 81, 20, 3425, 1599, 3437, 967, 92, 967, 615, 3104, 3466, 274, 1407, 274, 7307, 1265, 1357, 368, 803, 564, 1448, 2868, 4082, 2202, 1682, 4681, 1556, 12789, 87, 20896, 2602, 3220, 657, 656, 1424, 798, 10073, 21490, 11539, 4492, 103, 615, 790, 1783, 14, 740, 1563, 897, 8055, 397, 724, 1649, 4348, 12250, 271, 2608, 3237, 1391, 14, 1194, 1919, 490, 649, 377, 691, 342, 3935, 4238, 14, 1424, 482, 377, 370, 1194, 635, 2118, 572, 16, 978, 978, 998, 2532, 4186, 20762, 87, 5199, 1257, 14, 620, 342, 436, 757, 1510, 3011, 3756, 632, 2942, 4705, 368, 2435, 724, 16, 287, 26, 340, 17221, 6848, 340, 17221, 3557, 2340, 643, 569, 5162, 975, 15975, 6453, 352, 582, 632, 521, 635, 1501, 409, 582, 632, 1735, 1278, 261, 4618, 1320, 342, 5769, 3, 814, 1919, 2066, 5734, 79, 271, 645, 79, 564, 4274, 1091, 6848, 3757, 702, 1448, 1447, 1320, 3220, 2565, 5721, 2075, 377, 1119, 342, 1185, 1358, 1105, 1183, 368, 397, 786, 2112, 9175, 2660, 1618, 298, 1874, 25, 2202, 1682, 1672, 1582, 692, 5364, 2899, 797, 2294, 1270, 748, 521, 436, 728, 564, 2639, 442, 5575, 1520, 3180, 266, 2092, 19301, 368, 1364, 7898, 1316, 2036, 3786, 3757, 702, 11218, 1976, 21416, 975, 757, 1919, 665, 975, 2540, 4120, 1222, 368, 1501, 2202, 1682, 302, 18021, 3246, 9069, 450, 75, 296, 463, 1140, 352, 1206, 22469, 13703, 803, 551, 1503, 3370, 761, 368, 276, 618, 3713, 6848, 271, 7324, 2575, 1856, 8392, 19290, 4028, 757, 14, 733, 370, 2584, 352, 620, 2464, 1057, 1108, 368, 821, 922, 691, 6848, 2328, 4681, 337, 6848, 2328, 3856, 3544, 427, 1744, 261, 7788, 1689, 424, 87, 740, 6655, 14, 10494, 1649, 500, 377, 1210, 1042, 1640, 1105, 16, 340, 17221, 2448, 2185, 546, 8503, 20872, 6230, 15069, 8201, 1391, 11539, 8297, 1834, 6563, 14, 436, 1838, 3872, 748, 803, 5481, 2827, 1280, 14, 1675, 2052, 1326, 2090, 803, 16, 399, 3780, 3519, 2348, 223, 6112, 6496, 3786, 6848, 3557, 2340, 702, 1199, 13441, 702, 2066, 17795, 3398, 17795, 3398, 17795, 3398, 12486, 2215, 3856, 1257, 9931, 1108, 1280, 3757, 702, 3854, 1510, 1376, 4189, 1592, 6799, 4827, 1599, 458, 450, 2112, 1842, 368, 6927, 10159, 74, 15583, 352, 582, 6848, 271, 2431, 1491, 21146, 85, 2448, 11949, 1682, 2202, 8215, 3220, 409, 448, 720, 2756, 692, 1541, 397, 1608, 2112, 656, 409, 766, 1397, 2429, 489, 620, 445, 6848, 290, 298, 11118, 873, 436, 5089, 733, 342, 397, 2190, 1523, 823, 10189, 16, 7117, 12268, 340, 17221, 6848, 3557, 2340, 340, 3641, 75, 950, 1779, 3414, 368, 9665, 519, 566, 91, 87, 10308, 1653, 506, 9991, 3767, 6424, 3, 397, 2856, 2589, 340, 17221, 266, 1068, 5031, 8661, 5089, 733, 342, 397, 2190 ]
[ 1, 7316, 10866, 285, 22849, 340, 17221, 14965, 1424, 972, 2007, 2827, 906, 1230, 12250, 1091, 3788, 798, 16, 2202, 1682, 223, 3487, 3220, 23740, 415, 4236, 3639, 79, 5067, 450, 1774, 551, 644, 1769, 490, 649, 377, 6294, 1303, 16, 6848, 358, 2546, 81, 2868, 3104, 867, 26, 6848, 2328, 873, 2421, 4970, 18438, 1119, 1849, 4450, 352, 1431, 748, 797, 1821, 489, 521, 436, 532, 1713, 1400, 368, 534, 285, 3074, 21146, 917, 340, 8715, 340, 17221, 15522, 10303, 1842, 368, 1951, 6927, 1166, 418, 7229, 92, 414, 1613, 490, 766, 833, 4993, 4224, 448, 10874, 1091, 1441, 4087, 340, 17221, 271, 957, 4239, 3757, 702, 15522, 740, 1412, 1419, 3220, 23740, 415, 4236, 3639, 79, 5067, 450, 1774, 551, 644, 1769, 490, 649, 377, 6294, 1303, 16, 2925, 1921, 878, 685, 17795, 2793, 76, 2793, 3220, 521, 436, 1140, 4214, 370, 1391, 1613, 490, 377, 1305, 798, 3208, 489, 2941, 900, 368, 620, 4365, 1919, 2066, 490, 16, 2213, 1682, 21285, 977, 1444, 3104, 17041, 14941, 340, 17221, 5199, 1257, 14, 1689, 3171, 76, 1797, 6918, 506, 13095, 377, 1305, 798, 738, 1640, 607, 397, 803, 500, 879, 20452, 7632, 16, 2448, 11949, 15522, 262, 11999, 592, 4729, 623, 340, 17221, 3514, 20838, 15423, 3514, 358, 4012, 1077, 279, 3655, 1021, 2739, 1105, 14, 7228, 3414, 993, 646, 368, 6958, 1094, 967, 454, 9665, 2565, 5721, 720, 4973, 3757, 702, 2293, 10796, 3786, 266, 1589, 87, 2901, 74, 23, 5199, 1257, 14, 10595, 1345, 368, 1951, 6927, 10159, 74, 15583, 377, 370, 804, 2302, 1324, 236, 6907, 14374, 4275, 3713, 2892, 16, 4622, 702, 1146, 70, 3220, 2742, 1042, 409, 1424, 637, 2373, 8917, 2915, 358, 1255, 15399, 352, 11904, 3540, 740, 5962, 1391, 368, 24400, 856, 1491, 6145, 920, 1682, 11721, 1556, 12789, 87, 6848, 1146, 436, 1689, 1188, 5577, 20953, 665, 3099, 1563, 368, 1501, 287, 14417, 340, 17221, 760, 515, 1319, 567, 521, 1254, 370, 4812, 1233, 489, 532, 2872, 2614, 1618, 2602, 1618, 2602, 1821, 2877, 765, 2999, 2770, 287, 5408, 790, 2013, 1219, 606, 2464, 1919, 13875, 442, 975, 12486, 352, 442, 23740, 757, 340, 8715, 340, 17221, 15522, 2448, 11949, 262, 11999, 592, 4729, 623, 3220, 6896, 21327, 506, 5034, 1976, 804, 9069, 1302, 2424, 3540, 3786, 6848, 1814, 1403, 3557, 2340, 280, 12230, 340, 17221, 3220, 620, 922, 897, 1302, 1774, 14, 795, 483, 76, 1797, 1834, 87, 10246, 1491, 1327, 2807, 1108, 5023, 1769, 16, 6848, 2328, 2448, 3327, 67, 5719, 615, 12037, 368, 821, 922, 489, 397, 4365, 2464, 1919, 766, 2640, 740, 7889, 368, 803, 1682, 2202, 5394, 888, 3786, 4622, 6733, 702, 3220, 370, 2230, 724, 2215, 1357, 6653, 352, 17707, 14824, 7342, 2328, 293, 3465, 3184, 2589, 2209, 2449, 266, 8000, 2787, 740, 6655, 620, 445, 19349, 13560, 1091, 340, 17221, 8307, 7856, 10430, 285, 69, 92, 11218, 1976, 2575, 702, 3220, 1838, 1015, 509, 14, 821, 2007, 7887, 582, 489, 397, 8917, 2915, 1231, 640, 454, 3573, 2235, 368, 821, 2007, 7887, 766, 3346, 81, 387, 578, 1424, 643, 1491, 19649, 81, 16, 2202, 1682, 1187, 1065, 12747, 9069, 450, 75, 1653, 75, 1672, 16687, 17839, 17446, 2235, 368, 1349, 2066, 442, 1501, 352, 620, 2464, 5722, 1050, 342, 1788, 748, 16, 920, 1682, 17795, 2793, 76, 2793, 15522, 450, 75, 6848, 2575, 1856, 2328, 2073, 589, 1891, 3986, 1181, 724, 436, 33, 3220, 409, 377, 582, 768, 532, 377, 479, 2405, 620, 445, 564, 1891, 3986, 2575, 69, 2366, 315, 23, 70, 5371, 720, 1574, 18642, 15420, 6848, 1708, 2328, 1682, 2202, 1682, 302, 1928, 3593, 8673, 2409, 720, 436, 1140, 4214, 2776, 1608, 571, 7177, 7618, 649, 2399, 436, 2589, 3461, 490, 377, 479, 1259, 1983, 1183, 16, 2575, 1856, 9327, 946, 6496, 5199, 1257, 14, 2112, 1842, 448, 572, 3556, 450, 1298, 436, 3806, 4101, 3338, 1005, 450, 3437, 967, 92, 967, 340, 17221, 6496, 7294, 22863, 223, 1084, 3407, 1491, 8085, 4576, 2589, 2209, 740, 1563, 1091, 352, 733, 665, 620, 445, 14, 884, 436, 2435, 703, 2303, 2464, 3856, 1257, 1424, 665, 11673, 2779, 3370, 551, 2416, 2373, 17227, 2248, 3834, 15522, 340, 17221, 17603, 5389, 3437, 967, 92, 967, 352, 2019, 804, 397, 282, 9160, 546, 352, 607, 632, 397, 2380, 2448, 11949, 15522, 340, 17221, 5550, 2448, 1797, 302, 654, 9622, 2448, 11949, 2448, 10172, 2776, 90, 2202, 1682, 1854, 1079, 6077, 1843, 33, 3080, 4517, 1351, 1364, 644, 1316, 2036, 370, 479, 1843, 1091, 5827, 1069, 1316, 1049, 1613, 734, 340, 17221, 8661, 7856, 10430, 1689, 1188, 5577, 2636, 1768, 2636, 1919, 564, 1317, 7657, 19194, 1037, 1391, 2690, 263, 2675, 13781, 9648, 340, 17221, 13994, 2142, 4622, 1108, 445, 69, 643, 1329, 519, 566, 1834, 87, 10308, 5293, 2230, 978, 1919, 454, 343, 4227, 3171, 368, 2215, 724, 4826, 2464, 2328, 2649, 5199, 1257, 14, 10542, 4699, 448, 1455, 879, 797, 436, 14, 352, 534, 1269, 342, 4421, 3290, 2205, 352, 2717, 4892, 368, 415, 4775, 6927, 728, 1403, 274, 4420, 340, 17221, 274, 5986, 6848, 1618, 298, 2828, 2448, 1797, 1477, 445, 2807, 2856, 7899, 352, 1839, 3212, 564, 1157, 5541, 489, 15296, 91, 4461, 414, 14, 352, 833, 2927, 4989, 489, 1689, 3171, 76, 1797, 6918, 506, 13095, 1682, 1556, 12789, 87, 15522, 720, 82, 22783, 1108, 1563, 4576, 975, 12486, 917, 5734, 79, 271, 645, 79, 1091, 2990, 2235, 8864, 271, 548, 657, 377, 582, 1523, 734, 340, 1094, 85, 7297, 19, 302, 4692, 6848, 5199, 1257, 14, 10542, 4699, 448, 1455, 879, 797, 436, 14, 352, 534, 1269, 342, 4421, 3290, 2205, 352, 2717, 4892, 368, 415, 4775, 6927, 728, 1403, 340, 8715, 340, 17221, 3514, 20838, 15423, 3220, 900, 607, 900, 640, 1005, 798, 377, 691, 571, 920, 734, 564, 4224, 572, 7856, 654, 263, 1141, 6745, 3769, 1685, 3757, 702, 1376, 4193, 263, 604, 6496, 5199, 1257, 14, 2112, 1842, 1320, 646, 454, 2052, 761, 1095, 1269, 1305, 798, 4526, 14947, 16, 11218, 87, 8504, 968, 340, 17221, 12007, 2266, 14, 1269, 897, 879, 797, 3586, 5521, 2445, 6927, 790, 2532, 482, 7899, 3873, 14, 8296, 16576, 979, 442, 2661, 1170, 1541, 521, 436, 3237, 266, 909, 352, 370, 1270, 1534, 16, 2202 ]
[ 1, 92, 1491, 1748, 1140, 414, 7174, 685, 3657, 8317, 489, 415, 620, 1884, 972, 728, 14, 534, 1645, 5704, 748, 6848, 3757, 702, 1181, 450, 5031, 5434, 1021, 2739, 1105, 14, 370, 397, 651, 1645, 691, 2592, 7873, 352, 920, 1148, 953, 368, 9353, 4082, 454, 14828, 3639, 441, 448, 11003, 1035, 695, 1379, 16, 266, 1904, 11708, 867, 4509, 3858, 5705, 302, 597, 623, 15969, 7856, 10430, 873, 271, 13283, 2073, 370, 1370, 1305, 489, 620, 445, 1618, 2602, 274, 6072, 6989, 293, 605, 3220, 1977, 564, 3437, 967, 92, 967, 665, 701, 71, 1141, 5897, 655, 2366, 308, 2089, 352, 1964, 397, 651, 2630, 2136, 2776, 2075, 1682, 2328, 761, 3786, 3757, 702, 740, 2108, 6077, 564, 720, 1645, 4445, 352, 5450, 1705, 1541, 521, 436, 454, 529, 445, 14, 521, 436, 720, 5803, 4760, 15522, 1618, 85, 3295, 5199, 1257, 14, 1689, 3171, 76, 1797, 6918, 506, 13095, 733, 979, 6571, 10235, 415, 8246, 1563, 368, 803, 16, 337, 2602, 263, 1141, 6745, 3786, 340, 8715, 917, 73, 18443, 3557, 2340, 5199, 1257, 14, 1322, 620, 2464, 368, 821, 922, 370, 1095, 1314, 564, 2107, 7448, 18790, 955, 656, 620, 922, 17784, 13815, 6848, 15522, 1618, 2602, 1219, 1870, 397, 2594, 2640, 1199, 263, 1141, 6745, 1618, 6402, 2448, 11949, 15522, 340, 17221, 6848, 271, 957, 4239, 20801, 7867, 3220, 2252, 637, 656, 620, 445, 564, 4238, 3509, 5931, 551, 15296, 92, 414, 906, 1988, 509, 3786, 6848, 223, 6112, 14808, 5250, 509, 409, 2252, 450, 1298, 436, 1634, 632, 3509, 5931, 368, 521, 724, 6869, 442, 1187, 798, 454, 4602, 6869, 16, 2575, 1856, 358, 414, 11150, 3964, 6848, 15522, 3557, 2340, 340, 69, 3220, 620, 922, 897, 1302, 1774, 14, 795, 483, 76, 1797, 1834, 87, 10246, 1491, 1327, 2807, 1108, 5023, 1769, 16, 450, 75, 17795, 2793, 76, 2793, 3220, 409, 377, 370, 1316, 1642, 1233, 1915, 734, 632, 738, 615, 509, 16, 2202, 1682, 1814, 1403, 6848, 2328, 6848, 873, 436, 7044, 3641, 87, 4838, 8055, 5389, 1541, 397, 821, 2007, 1919, 9632, 21466, 4086, 1869, 6160, 3525, 11035, 82, 3220, 6918, 506, 13095, 1689, 3171, 76, 1797, 377, 1210, 1042, 5918, 7449, 632, 521, 635, 803, 448, 571, 3786, 2202, 1682, 1181, 343, 468, 3557, 2340, 340, 8607, 340, 17221, 3220, 2435, 724, 2215, 368, 409, 879, 9692, 16782, 352, 2424, 1705, 21146, 3757, 702, 2209, 1447, 5199, 1257, 14, 1689, 3171, 76, 1797, 6918, 506, 13095, 733, 979, 6571, 10235, 415, 8246, 1563, 368, 803, 16, 285, 3074, 15522, 340, 17221, 18759, 6518, 24824, 2202, 1682, 3324, 13251, 740, 302, 3735, 3356, 1842, 941, 1781, 3461, 1157, 1391, 489, 521, 2630, 2136, 2776, 2075, 4266, 6310, 509, 1682, 23541, 3557, 2340, 21416, 757, 2215, 9760, 740, 2927, 2729, 9760, 285, 309, 340, 17221, 9352, 21146, 1682, 6848, 340, 69, 740, 5031, 5434, 3557, 2340, 5469, 2066, 4993, 454, 3099, 1563, 368, 1501, 2575, 1856, 11218, 87, 3220, 409, 2300, 821, 922, 377, 370, 2183, 2111, 4124, 454, 2868, 3839, 503, 353, 21327, 87, 16, 340, 17221, 18759, 271, 22371, 1618, 2602, 13430, 3964, 24881, 1792, 1021, 826, 1522, 757, 766, 2640, 3346, 387, 10370, 14854, 6848, 285, 566, 2328, 9758, 1817, 368, 521, 2572, 2042, 6869, 442, 23952, 500, 2428, 3987, 4472, 352, 411, 3250, 14217, 3087, 1871, 368, 660, 1069, 1645, 691, 16, 2202, 1682, 223, 3487, 1618, 2602, 271, 13283, 6989, 293, 605, 21416, 975, 757, 1919, 665, 975, 2540, 4120, 1222, 368, 1501, 4186, 20762, 87, 2977, 16, 20, 7788, 1689, 424, 87, 13391, 2654, 377, 22469, 442, 4261, 1091, 16, 6848, 1682, 2653, 1838, 2307, 6576, 223, 6112, 5199, 1257, 14, 1689, 3171, 76, 1797, 6918, 506, 13095, 377, 833, 3437, 967, 92, 967, 1953, 4552, 3959, 3338, 368, 803, 16, 263, 4727, 15522, 340, 17221, 5199, 1257, 14, 436, 2589, 3461, 1424, 665, 2927, 1563, 442, 1210, 3310, 1541, 1726, 1239, 2776, 2075, 18875, 7362, 16, 3786, 302, 3723, 276, 3453, 263, 3663, 3769, 1685, 3557, 2340, 6848, 1814, 2012, 2103, 1091, 4602, 3917, 3557, 2340, 4681, 74, 5199, 1257, 14, 5092, 4247, 309, 5029, 4806, 795, 20924, 643, 3234, 377, 4073, 3253, 1400, 521, 436, 1140, 4214, 2654, 20073, 490, 14, 905, 932, 620, 445, 14445, 397, 3447, 1320, 3370, 16, 285, 3074, 340, 17221, 20838, 15423, 5199, 1257, 14, 10542, 4699, 1269, 1308, 2052, 1079, 803, 4214, 1868, 397, 1706, 6869, 1849, 4450, 16, 4186, 450, 75, 285, 566, 4715, 685, 274, 685, 7174, 685, 3657, 4186, 20762, 87, 1146, 16, 22, 11873, 377, 571, 3177, 724, 2215, 724, 766, 2640, 454, 12037, 4186, 6848, 2575, 1856, 13251, 5873, 414, 5199, 1257, 14, 1219, 483, 3869, 261, 1305, 798, 24400, 856, 1491, 6145, 352, 1312, 75, 506, 5189, 1182, 748, 797, 1821, 489, 620, 1884, 972, 368, 821, 16, 6848, 4681, 74, 3571, 68, 10848, 266, 1547, 72, 2656, 358, 2095, 10959, 3559, 285, 685, 332, 1068, 3220, 1940, 1053, 14, 409, 448, 3802, 489, 738, 1424, 798, 660, 1069, 2917, 1199, 454, 701, 71, 1141, 5897, 655, 2366, 308, 2089, 16, 1682, 6848, 2328, 1682, 5199, 1257, 14, 1270, 1460, 6869, 5520, 490, 1269, 978, 4427, 646, 2593, 1233, 368, 415, 2224, 4788, 13282, 1061, 5853, 16, 2202, 1682, 3557, 2340, 761, 4186, 6848, 15624, 972, 7174, 685, 3657, 3220, 521, 436, 1140, 4214, 2776, 2075, 490, 993, 646, 2183, 1182, 16, 343, 654, 12485, 72, 6073, 340, 17221, 3220, 1977, 900, 632, 821, 922, 14, 397, 2994, 1774, 377, 3474, 4775, 6927, 450, 2501, 14, 640, 1801, 589, 4812, 1233, 3324, 8221, 482, 397, 436, 1140, 4214, 1265, 4524, 454, 397, 1955, 1069, 3639, 2712, 16, 1556, 12789, 87, 1005, 761, 6848, 3757, 11218, 8698, 1589, 873, 436, 3220, 900, 615, 646, 16576, 648, 8174, 368, 10308, 856, 75, 657, 409, 2362, 17122, 798, 740, 3437, 967, 92, 967, 340, 17221, 262, 11999, 592, 4729, 623, 282, 3834, 20392, 8330, 79, 724, 2215, 14, 409, 615, 1745, 15819, 1834, 298, 91, 4614, 11218, 1491, 340, 8715, 271, 957, 4239, 305, 11949, 263, 2675, 340, 17221, 282, 3834, 13454, 1219, 1870, 397, 2594, 2640, 1199, 9069, 450, 75, 450, 75, 2925, 6212, 12104, 3935, 521, 436 ]
[ 1, 53, 878, 318, 427, 24022, 7511, 1166, 22798, 10403, 8385, 223, 528, 10047, 1491, 14302, 8385, 8363, 1127, 1970, 15, 68, 3616, 14302, 8385, 1021, 3327, 1267, 14302, 8385, 427, 8698, 298, 1168, 8385, 223, 4637, 3796, 1491, 14302, 8385, 528, 1904, 73, 1797, 85, 14302, 8385, 570, 12940, 73, 1797, 85, 8385, 223, 427, 8698, 998, 5031, 266, 10846, 3453, 14302, 8385, 528, 1904, 73, 1797, 85, 14302, 8385, 14165, 1220, 24276, 15797, 12951, 14302, 8385, 570, 80, 315, 546, 358, 3327, 7694, 8385, 223, 4175, 79, 1797, 14522, 14302, 8385, 5564, 279, 1446, 73, 815, 14302, 14302, 223, 528, 10047, 1491, 3183, 266, 12573, 1491, 14302, 14302, 14302, 570, 12940, 14302, 14302, 14302, 519, 8116, 309, 14302, 14302, 14302, 519, 8116, 6948, 14302, 14302, 14302, 570, 1267, 2920, 815, 14302, 14302, 14302, 7451, 6772, 2089, 3183, 1933, 20184, 12940, 14302, 14302, 14302, 760, 1797, 82, 1841, 9648, 14302, 14302, 223, 15498, 3183, 343, 2395, 91, 299, 6598, 1797, 14522, 14302, 14302, 14302, 9355, 340, 2670, 1471, 85, 14302, 14302, 14302, 9355, 299, 2395, 1220, 24276, 358, 3327, 7694, 14302, 14302, 223, 6521, 11083, 8321, 8385, 223, 19176, 98, 74, 6930, 1491, 14302, 8385, 19176, 241, 84, 15732, 4512, 14302, 8385, 19176, 241, 84, 11800, 3074, 85, 14302, 8385, 11233, 9732, 286, 7876, 14302, 8385, 16791, 807, 4512, 8385, 223, 5029, 1094, 1168, 14302, 8385, 23079, 14601, 14302, 14302, 223, 528, 10047, 1491, 3183, 2448, 1077, 5175, 14302, 14302, 223, 388, 6772, 12681, 14302, 14302, 223, 13363, 88, 2248, 862, 14302, 14302, 223, 427, 8698, 998, 14302, 14302, 223, 986, 6930, 1491, 14302, 14302, 223, 6521, 11083, 8321, 14302, 8385, 10185, 3234, 85, 8385, 223, 611, 90, 815, 8385, 223, 23181, 9176, 1491, 917, 1471, 85, 8385, 223, 760, 1141, 5031, 296, 616, 79, 24276, 302, 1797, 85, 14302, 8385, 5564, 279, 1446, 73, 815, 8385, 223, 655, 2272, 1992, 24276, 14302, 8385, 528, 1904, 73, 1797, 85, 14302, 14302, 223, 528, 10047, 1491, 14302, 14302, 223, 4637, 3796, 1491, 14302, 8385, 570, 12940, 73, 1797, 85, 14302, 14302, 223, 528, 10047, 1491, 14302, 14302, 223, 4637, 3796, 1491, 14302, 8385, 760, 1141, 5564, 279, 11991, 3183, 1933, 8817, 309, 14302, 8385, 9355, 299, 340, 14993, 68, 3246, 5031, 282, 2877, 981, 3246, 14302, 14302, 223, 4175, 79, 1797, 14522, 8385, 223, 570, 10334, 862, 14302, 8385, 5564, 279, 1446, 73, 815, 8385, 223, 4637, 5756, 73, 1797, 85, 8385, 223, 22160, 1491, 8385, 223, 20640, 1792, 1491, 14737, 546, 69, 8753, 2776, 441, 5630, 8385, 223, 519, 8116, 309, 701, 2262, 85, 8385, 223, 20086, 815, 8385, 223, 16791, 807, 4512, 14302, 8385, 22460, 73, 6948, 14302, 8385, 6521, 11083, 8321, 1618, 22798, 463, 5031, 299, 6598, 1797, 14522, 14302, 8385, 519, 3246, 2670, 7893, 302, 7624, 14302, 8385, 427, 4851, 317, 1618, 22798, 10403, 14302, 8385, 11730, 2656, 14, 592, 78, 85, 9065, 14, 263, 1141, 815, 14, 285, 4289, 815, 14302, 8385, 6747, 2262, 85, 8385, 223, 4637, 4851, 340, 21470, 14302, 8385, 18003, 14302, 14302, 223, 2467, 1363, 308, 4461, 1168, 14302, 8385, 12569, 1685, 4743, 271, 10611, 7020, 85, 5031, 340, 1471, 16630, 2656, 1420, 8067, 1084, 3171, 8385, 223, 611, 1145, 2448, 8368, 86, 266, 15725, 14302, 8385, 1420, 8067, 12681, 14302, 8385, 5672, 23645, 9594, 14302, 8385, 1166, 5014, 299, 19067, 358, 9384, 2448, 20592, 14302, 8385, 795, 19189, 14302, 8385, 1347, 5555, 1679, 15429, 69, 14302, 8385, 24056, 276, 22797, 8385, 223, 17553, 6212, 2548, 9374, 8385, 223, 16483, 815, 69, 3295, 85, 8385, 223, 5457, 6212, 2548, 9374, 8385, 223, 7783, 78, 654, 73, 2656, 8385, 223, 16483, 815, 69, 3295, 815, 8385, 223, 643, 13151, 358, 506, 1491, 266, 5673, 807, 815, 8385, 223, 643, 13151, 18913, 10334, 998, 8858, 8385, 223, 24056, 276, 22797, 343, 2920, 16339, 8385, 223, 986, 8627, 862, 6686, 2045, 2656, 8385, 223, 643, 15725, 8385, 223, 5672, 70, 17284, 76, 5662, 7757, 2448, 10172, 8385, 223, 519, 3246, 2670, 1084, 263, 862, 23552, 998, 8858, 8385, 223, 1162, 4603, 685, 9732, 5031, 299, 13124, 807, 4512, 11899, 1068, 5183, 8385, 223, 1158, 378, 315, 7757, 14302, 8385, 4175, 79, 1797, 14522, 14302, 8385, 16791, 807, 4512, 8385, 223, 503, 20528, 1491, 290, 6948, 8385, 223, 701, 5015, 85, 8385, 223, 21218, 6022, 6379, 2089, 1168, 262, 6462, 12802, 9444, 8385, 223, 427, 546, 20924, 7020, 4641, 80, 10403, 15664, 12573, 8385, 223, 18997, 14302, 8385, 8854, 15, 1588, 23046, 14226, 967, 69, 7694, 14302, 8385, 701, 5015, 85, 14302, 8385, 6852, 88, 85, 14302, 8385, 611, 8712, 85, 14302, 8385, 16617, 807, 6829, 69, 7694, 14302, 8385, 519, 1084, 91, 69, 7694, 14302, 8385, 18604, 79, 2546, 20815, 14302, 8385, 16617, 807, 286, 16899, 14302, 8385, 5564, 2366, 4849, 14302, 8385, 701, 2893, 2656, 14302, 8385, 1158, 378, 315, 7757, 14302, 8385, 16617, 8858, 14302, 8385, 16791, 807, 4512, 14302, 8385, 4637, 4851, 340, 21470, 8385, 223, 6722, 14302, 8385, 11761, 1084, 3295, 9065, 14302, 8385, 6722, 82, 12430, 815, 14302, 8385, 6722, 285, 862, 2411, 10403, 14302, 8385, 5501, 2045, 78, 1446, 2656, 14302, 8385, 528, 506, 302, 78, 1446, 2656, 14302, 8385, 1162, 3698, 1491, 2776, 441, 5630, 14302, 8385, 5501, 6265, 2395, 815, 14302, 8385, 1158, 378, 315, 7757, 14302, 8385, 16617, 8858, 14302, 8385, 16791, 807, 4512, 14302, 8385, 4637, 4851, 340, 21470, 8385, 223, 1166, 10611, 14302, 8385, 3837, 14832, 14302, 14302, 223, 1834, 6265, 7876, 14302, 14302, 223, 16617, 807, 15082, 7876, 14302, 14302, 223, 1347, 4367, 69, 20407, 85, 14302, 8385, 10989, 7837, 14302, 14302, 223, 681, 468, 2431, 85, 14302, 14302, 223, 4641, 7335, 14302, 14302, 223, 655, 8188, 7694, 14302, 8385, 5942, 24176, 6829, 69, 7694, 14302, 8385, 1347, 1291, 981, 81, 7837, 14302, 8385, 1158, 378, 315, 7757, 14302, 8385, 701, 1471, 5405, 85, 14302, 8385, 16617, 8858, 14302, 8385, 16791, 807, 4512, 14302, 8385, 4637, 4851, 340, 21470, 21119, 8385, 223, 2384, 7026, 17578, 4885, 378, 315, 7757, 14302, 8385, 22451, 862, 343, 309, 318, 8858, 14302, 8385, 16305, 13566, 2910, 7026, 17578, 4885, 75, 378, 82, 7757, 14302, 8385, 16791, 807, 4512, 8385, 223, 8763, 71, 5031, 266, 312, 17349, 24783, 2343, 9807, 8385 ]
[ 1, 30, 70, 2248, 11150, 4510, 15183, 4366, 20742, 9594, 4, 266, 4463, 1267, 15183, 22221, 654, 28, 285, 10001, 29, 262, 9483, 15, 862, 10334, 28, 263, 685, 1588, 29, 17658, 30, 6335, 2304, 32, 10990, 70, 2248, 32, 30, 6335, 2304, 32, 30, 68, 32, 54, 817, 9087, 1567, 2925, 901, 1244, 3235, 8, 18181, 7026, 29, 10990, 68, 32, 30, 67, 22756, 15183, 74, 9273, 82, 18180, 19, 16, 68, 82, 16, 68, 5555, 7026, 1792, 16, 2693, 17, 15, 25, 48, 60, 27, 83, 44, 19701, 36, 68, 89, 17, 56, 17491, 27, 54, 36, 41, 15, 72, 60, 43, 17, 15241, 15241, 15241, 15241, 24896, 18, 17, 42, 39, 468, 46, 83, 88, 19, 18587, 69, 17, 85, 22834, 17, 70, 74, 85, 3013, 8934, 22, 15, 24, 71, 26, 2308, 16, 22661, 73, 17658, 30, 1145, 73, 285, 3234, 546, 15183, 18, 4, 266, 84, 69, 15183, 74, 9273, 82, 18180, 19, 16, 68, 82, 16, 68, 5555, 7026, 1792, 16, 2693, 17, 15, 25, 48, 60, 27, 83, 44, 19701, 36, 68, 89, 17, 56, 17491, 27, 54, 36, 41, 15, 72, 60, 43, 17, 15241, 15241, 15241, 15241, 24896, 18, 17, 42, 39, 468, 46, 83, 88, 19, 18587, 69, 17, 85, 22834, 17, 70, 74, 85, 3013, 8934, 22, 15, 24, 71, 26, 2308, 16, 22661, 73, 4, 2304, 32, 10990, 67, 32, 30, 6335, 2304, 32, 30, 6335, 2304, 32, 30, 6335, 2304, 32, 1907, 2690, 2925, 901, 1244, 370, 1745, 2532, 923, 30, 67, 22756, 15183, 74, 9273, 82, 18180, 9740, 16, 24304, 286, 69, 88, 5124, 16, 3277, 17, 17658, 80, 431, 2925, 901, 1244, 370, 8917, 2915, 10445, 10319, 10990, 67, 32, 457, 342, 6394, 1244, 1121, 681, 2452, 619, 42, 6823, 8799, 4127, 5343, 16, 388, 817, 9087, 766, 1071, 901, 8, 18181, 7026, 29, 30, 67, 22756, 15183, 74, 9273, 82, 18180, 9740, 16, 24304, 286, 69, 88, 5124, 16, 3277, 17, 4366, 654, 441, 17, 78, 22982, 17, 24293, 7, 474, 14961, 7, 37, 21, 7, 35, 4139, 7, 474, 17606, 7, 39, 19, 7, 19300, 7, 3313, 86, 17658, 281, 232, 24355, 1916, 2582, 3586, 10990, 67, 32, 8, 18181, 7026, 29, 14210, 1170, 1441, 1200, 846, 1245, 6708, 1800, 461, 418, 1588, 2185, 14, 3235, 16, 30, 6335, 2304, 32, 30, 6335, 2304, 32, 3371, 768, 1194, 1370, 1265, 342, 1305, 3809, 649, 342, 12623, 651, 14, 388, 817, 9087, 1383, 646, 28, 923, 1673, 3288, 1245, 1183, 551, 955, 1639, 14, 738, 1801, 7256, 352, 370, 1370, 1305, 489, 532, 2464, 1181, 532, 2007, 3009, 1351, 342, 814, 2424, 1645, 352, 1713, 1400, 16, 30, 6335, 2304, 32, 30, 6335, 2304, 32, 30, 68, 6614, 378, 8787, 11150, 4510, 15183, 279, 65, 68, 83, 17658, 3937, 728, 1745, 2071, 3162, 3075, 14, 2084, 6643, 14, 2941, 900, 370, 479, 342, 10664, 6132, 657, 649, 370, 479, 342, 814, 5429, 2050, 2071, 1108, 2416, 16, 5442, 803, 1194, 1370, 1305, 823, 837, 1388, 761, 1269, 342, 1305, 1100, 368, 1108, 436, 14, 397, 656, 448, 993, 646, 1265, 352, 1738, 1383, 615, 489, 1403, 823, 3675, 1035, 442, 1298, 10664, 6132, 1847, 3568, 16, 10990, 68, 6614, 378, 8787, 32, 30, 6335, 2304, 32, 30, 68, 6614, 378, 8787, 11150, 4510, 15183, 279, 65, 68, 83, 17658, 7824, 1706, 803, 1327, 1768, 370, 532, 2464, 342, 436, 955, 1639, 638, 14087, 490, 2227, 985, 12623, 651, 849, 5594, 884, 589, 692, 1100, 342, 415, 532, 2464, 7234, 352, 2179, 1745, 342, 415, 532, 3235, 370, 2649, 2303, 879, 978, 4427, 352, 3010, 4001, 7690, 15, 78, 947, 1201, 16, 10990, 68, 6614, 378, 8787, 32, 1366, 906, 734, 509, 1801, 442, 397, 436, 2399, 2868, 3839, 923, 84, 605, 358, 560, 457, 823, 803, 500, 377, 4321, 5396, 4238, 2009, 620, 922, 342, 2464, 3073, 1181, 2464, 1621, 1303, 1979, 30, 6335, 2304, 32, 30, 6335, 2304, 32, 30, 6335, 2304, 32, 30, 68, 32, 18283, 1347, 580, 4234, 4670, 1567, 2925, 901, 1244, 5639, 8535, 17, 68, 32, 8535, 6335, 2304, 32, 30, 67, 22756, 15183, 74, 9273, 82, 18180, 19, 16, 68, 82, 16, 68, 5555, 7026, 1792, 16, 2693, 17, 15, 57, 51, 89, 74, 69, 15, 58, 27, 55, 559, 17, 56, 17491, 25, 50, 88, 22, 15, 68, 9206, 17, 15241, 15241, 15241, 15241, 24896, 69, 17, 71, 53, 90, 60, 71, 44, 37, 80, 18, 76, 77, 17, 85, 22834, 17, 70, 74, 85, 3013, 8934, 19, 15, 24, 71, 26, 2308, 16, 22661, 73, 17658, 30, 1145, 73, 285, 3234, 546, 15183, 18, 4, 266, 84, 69, 15183, 74, 9273, 82, 18180, 19, 16, 68, 82, 16, 68, 5555, 7026, 1792, 16, 2693, 17, 15, 57, 51, 89, 74, 69, 15, 58, 27, 55, 559, 17, 56, 17491, 25, 50, 88, 22, 15, 68, 9206, 17, 15241, 15241, 15241, 15241, 24896, 69, 17, 71, 53, 90, 60, 71, 44, 37, 80, 18, 76, 77, 17, 85, 22834, 17, 70, 74, 85, 3013, 8934, 19, 15, 24, 71, 26, 2308, 16, 22661, 73, 4, 2304, 32, 10990, 67, 32, 8535, 6335, 2304, 32, 4599, 14, 4670, 766, 901, 846, 1312, 16, 8997, 6829, 655, 5860, 655, 18672, 19294, 15375, 14, 5639, 16, 8535, 6335, 2304, 32, 8535, 6335, 2304, 32, 10367, 4670, 442, 797, 532, 1774, 691, 615, 489, 1239, 2388, 397, 941, 1244, 14520, 643, 1082, 6703, 2303, 14, 1882, 1556, 352, 8535, 67, 22756, 15183, 74, 9273, 82, 18180, 9740, 16, 24304, 286, 69, 88, 5124, 16, 3277, 17, 4578, 17, 2812, 17, 268, 605, 15, 261, 87, 4970, 15, 14312, 15, 3519, 15, 86, 597, 15, 670, 15, 17589, 414, 15, 73, 3487, 75, 16, 74, 86, 16176, 17658, 281, 2497, 5645, 10990, 67, 32, 16, 30, 6335, 2304, 32, 3425, 532, 442, 5622, 2532, 342, 923, 12940, 399, 84, 78, 14520, 643, 1082, 457, 489, 804, 2259, 3291, 695, 3969, 1286, 442, 1814, 1222, 342, 901, 1534, 5645, 14, 691, 1682, 797, 1671, 3537, 2541, 28, 23541, 14, 18416, 24995, 1783, 704, 9038, 14, 2389, 1471, 298, 14, 6453, 29, 9102, 2630, 352, 1556, 6184, 888 ]
[ 1, 1817, 296, 1895, 1806, 16, 30, 6335, 2304, 32, 2899, 814, 2511, 1244, 1183, 14, 8535, 67, 22756, 15183, 74, 9273, 82, 18180, 9740, 16, 24304, 286, 69, 88, 5124, 16, 3277, 17, 4917, 17, 1274, 17, 3519, 15, 286, 75, 15, 268, 418, 15, 286, 69, 15, 68, 414, 15, 4692, 418, 15, 3589, 418, 15, 4384, 15, 24304, 16, 74, 86, 16176, 17658, 281, 2497, 1716, 551, 955, 1639, 10990, 67, 32, 637, 656, 897, 1919, 14, 884, 821, 2690, 1079, 1100, 803, 1269, 370, 290, 2884, 2941, 900, 1388, 2091, 1389, 454, 1194, 8535, 67, 22756, 15183, 74, 9273, 82, 18180, 3047, 441, 11977, 4642, 4716, 3487, 1068, 560, 16, 68, 5555, 7026, 1792, 16, 2693, 17, 17658, 91, 1083, 10990, 67, 32, 16, 30, 6335, 2304, 32, 8535, 6335, 2304, 32, 923, 4126, 1258, 261, 3609, 594, 75, 1882, 594, 80, 703, 1892, 3073, 12359, 594, 261, 1698, 594, 482, 1258, 261, 3609, 594, 75, 9911, 526, 86, 1706, 8890, 536, 80, 14, 13628, 594, 80, 18416, 1258, 75, 14, 2432, 594, 1400, 1265, 2620, 526, 441, 9911, 526, 86, 5665, 594, 87, 3466, 536, 86, 1879, 536, 261, 482, 1495, 831, 5943, 16, 3282, 1754, 1258, 261, 9911, 526, 86, 864, 526, 5917, 526, 80, 592, 536, 884, 972, 1327, 1210, 6094, 594, 3011, 1258, 1995, 526, 80, 6806, 536, 80, 1265, 592, 536, 567, 16, 3282, 3011, 1258, 10960, 526, 87, 1265, 592, 536, 2620, 594, 7174, 594, 268, 2227, 3037, 500, 1801, 521, 9536, 526, 86, 1879, 594, 261, 761, 1050, 4273, 526, 75, 10960, 594, 80, 2084, 3466, 526, 1754, 831, 67, 592, 536, 3830, 4670, 2781, 3614, 16, 30, 6335, 2304, 32, 30, 6335, 2304, 32, 8535, 6335, 2304, 32, 30, 68, 32, 6922, 8185, 1477, 1567, 2925, 901, 1244, 3816, 3382, 8535, 17, 68, 32, 8535, 6335, 2304, 32, 30, 67, 22756, 15183, 74, 9273, 82, 18180, 20, 16, 68, 82, 16, 68, 5555, 7026, 1792, 16, 2693, 17, 15, 77, 23, 72, 88, 82, 23, 75, 20, 11811, 39, 17, 56, 17491, 26, 35, 51, 69, 35, 15, 68, 43, 17, 15241, 15241, 15241, 15241, 24896, 77, 17, 24891, 40, 48, 60, 57, 90, 54, 57, 23, 39, 17, 85, 22834, 17, 70, 74, 85, 3013, 8934, 20, 15, 24, 71, 26, 2308, 16, 22661, 73, 17658, 30, 1145, 73, 285, 3234, 546, 15183, 18, 4, 266, 84, 69, 15183, 74, 9273, 82, 18180, 20, 16, 68, 82, 16, 68, 5555, 7026, 1792, 16, 2693, 17, 15, 77, 23, 72, 88, 82, 23, 75, 20, 11811, 39, 17, 56, 17491, 26, 35, 51, 69, 35, 15, 68, 43, 17, 15241, 15241, 15241, 15241, 24896, 77, 17, 24891, 40, 48, 60, 57, 90, 54, 57, 23, 39, 17, 85, 22834, 17, 70, 74, 85, 3013, 8934, 20, 15, 24, 71, 26, 2308, 16, 22661, 73, 4, 2304, 32, 10990, 67, 32, 8535, 6335, 2304, 32, 10485, 695, 17175, 14, 6922, 8185, 1477, 638, 18221, 442, 691, 489, 975, 1584, 17118, 6922, 2646, 342, 397, 2925, 901, 1244, 3183, 18181, 7026, 29, 261, 558, 10003, 1170, 1441, 2275, 1351, 1200, 14, 619, 42, 12273, 3779, 18033, 10480, 317, 986, 566, 3382, 846, 13895, 16, 8, 18181, 7026, 29, 30, 70, 2248, 32, 30, 6335, 2304, 32, 1477, 2781, 3614, 2323, 923, 4528, 397, 2925, 901, 1244, 14, 803, 370, 1154, 1300, 1259, 3809, 489, 415, 17454, 2084, 1868, 649, 482, 724, 436, 8535, 67, 22756, 15183, 74, 9273, 82, 18180, 286, 2336, 414, 4692, 9774, 616, 16, 68, 5555, 7026, 1792, 16, 2693, 17, 17658, 16096, 637, 797, 2634, 5532, 10990, 67, 32, 16, 11434, 798, 2435, 703, 1892, 3073, 649, 2430, 3323, 1684, 1579, 16, 30, 6335, 2304, 32, 8535, 6335, 2304, 32, 9150, 920, 1745, 632, 5449, 1183, 14, 2084, 1868, 14, 4270, 1069, 14, 2787, 3596, 5308, 342, 521, 6132, 1231, 2575, 757, 656, 1265, 16, 3220, 1322, 1370, 1265, 2183, 1199, 14, 2183, 1645, 1403, 823, 803, 900, 923, 20341, 457, 1181, 923, 2386, 457, 377, 897, 837, 1388, 1201, 16, 4059, 1119, 14, 1322, 1268, 803, 500, 1265, 1605, 4985, 30, 6335, 2304, 32, 8535, 6335, 2304, 32, 8535, 6335, 2304, 32, 30, 68, 32, 624, 91, 9756, 704, 2925, 901, 1244, 8861, 8535, 17, 68, 32, 30, 6335, 2304, 32, 8535, 6335, 2304, 32, 30, 67, 22756, 15183, 74, 9273, 82, 18180, 19, 16, 68, 82, 16, 68, 5555, 7026, 1792, 16, 2693, 17, 15, 86, 38, 21, 86, 35, 91, 23698, 44, 1118, 17, 56, 17491, 26, 12243, 42, 90, 56, 12210, 17, 15241, 15241, 15241, 15241, 24896, 85, 17, 78, 52, 16308, 36, 70, 13276, 83, 9206, 17, 85, 22834, 17, 70, 74, 85, 3013, 8934, 21, 15, 24, 71, 26, 2308, 16, 22661, 73, 17658, 30, 1145, 73, 285, 3234, 546, 15183, 18, 4, 266, 84, 69, 15183, 74, 9273, 82, 18180, 19, 16, 68, 82, 16, 68, 5555, 7026, 1792, 16, 2693, 17, 15, 86, 38, 21, 86, 35, 91, 23698, 44, 1118, 17, 56, 17491, 26, 12243, 42, 90, 56, 12210, 17, 15241, 15241, 15241, 15241, 24896, 85, 17, 78, 52, 16308, 36, 70, 13276, 83, 9206, 17, 85, 22834, 17, 70, 74, 85, 3013, 8934, 21, 15, 24, 71, 26, 2308, 16, 22661, 73, 4, 2304, 32, 10990, 67, 32, 8535, 6335, 2304, 32, 10485, 695, 17175, 14, 624, 91, 9756, 940, 342, 2925, 901, 1244, 1245, 18861, 85, 263, 1471, 1267, 3680, 846, 24166, 14, 6251, 16, 3425, 1100, 442, 2182, 797, 646, 837, 1383, 637, 2569, 1211, 2108, 1541, 3009, 1239, 6703, 2303, 14, 13251, 274, 670, 368, 803, 29, 3211, 706, 397, 651, 436, 897, 6163, 450, 821, 521, 1523, 1100, 3034, 370, 3893, 656, 4272, 9756, 2393, 2822, 7448, 1391, 2589, 7137, 377, 6456, 6191, 521, 3682, 860, 3999, 1129, 16, 624, 91, 9756, 649, 342, 3900, 1562, 450, 397, 651, 4328, 706, 846, 804, 1935, 7014, 7369, 4516, 16, 8535, 6335, 2304, 32, 8535, 6335, 2304, 32, 8404, 1716, 551, 6697, 2393, 287, 506, 654, 1127, 14, 624, 91, 9756, 1383, 646, 28, 923, 2079, 607, 2925, 901, 370, 1154, 1300, 1259, 3809, 489, 797, 620, 4365 ]
[ 1, 9316, 4856, 1245, 28, 704, 427, 815, 654, 1021, 11624, 13971, 73, 815, 342, 397, 454, 521, 1245, 1037, 761, 551, 6940, 23442, 1100, 442, 2080, 993, 2532, 1667, 368, 15655, 638, 19899, 20656, 18432, 1420, 6124, 418, 1077, 3655, 14, 274, 397, 1459, 368, 415, 1371, 1389, 3276, 5649, 1351, 846, 2879, 1446, 2646, 2080, 993, 22038, 1872, 862, 1053, 489, 415, 901, 2664, 290, 1803, 2532, 728, 368, 2214, 2374, 14, 4402, 2984, 17852, 352, 342, 804, 1121, 368, 611, 5150, 42, 570, 5660, 92, 546, 5223, 16, 704, 427, 815, 654, 1021, 11624, 442, 692, 1100, 1434, 660, 1039, 757, 660, 1069, 632, 1951, 2673, 2661, 1170, 1829, 3886, 14, 370, 1300, 2393, 352, 1978, 12300, 846, 1146, 1351, 903, 28, 6940, 23442, 14, 1288, 14, 6251, 985, 509, 1244, 1121, 370, 1095, 1154, 1944, 1259, 2424, 3540, 16, 427, 815, 654, 1021, 11624, 14, 397, 3288, 1245, 1716, 1170, 1915, 3118, 450, 1244, 1121, 489, 415, 1672, 1576, 720, 2158, 9048, 4736, 1520, 450, 567, 3959, 1170, 3522, 5351, 993, 1198, 16, 3080, 2586, 1334, 368, 427, 815, 654, 1021, 11624, 442, 1351, 1200, 692, 1100, 442, 1576, 1953, 2179, 1745, 4041, 1153, 1719, 2515, 1270, 1185, 2723, 16, 704, 427, 815, 654, 1021, 11624, 13971, 73, 815, 570, 5660, 92, 546, 5223, 4502, 1306, 1483, 1983, 14011, 415, 1095, 1154, 5600, 1540, 1434, 313, 69, 571, 1005, 450, 415, 14360, 993, 1716, 352, 1441, 2056, 571, 738, 4144, 660, 1069, 489, 415, 692, 1832, 1248, 2042, 352, 1351, 1200, 2445, 3586, 692, 1678, 1829, 3886, 16, 7547, 1121, 901, 846, 427, 815, 654, 1021, 11624, 370, 1095, 1154, 993, 1716, 2526, 4611, 489, 2356, 4611, 1781, 1713, 2977, 559, 3067, 2304, 17203, 16, 3080, 2586, 1334, 368, 1245, 28, 511, 17, 4735, 1334, 1477, 3075, 28, 8954, 1866, 2515, 1270, 2960, 704, 2184, 14, 3306, 3399, 2515, 1270, 582, 352, 1153, 1719, 2515, 1270, 901, 1716, 704, 9225, 1314, 901, 28, 3291, 2494, 2304, 14548, 1571, 489, 847, 1042, 2304, 19, 2494, 704, 8404, 2340, 28, 2277, 16, 8570, 638, 6759, 40, 11, 2304, 14360, 704, 2970, 901, 28, 5431, 7070, 28, 4446, 17, 2798, 29, 20537, 17, 2063, 29, 4446, 17, 1670, 29, 20284, 17, 642, 873, 17, 8594, 1431, 6491, 10003, 1170, 786, 1039, 1829, 3886, 28, 299, 17, 9128, 6491, 5431, 511, 638, 37, 935, 2080, 733, 814, 1198, 3623, 1039, 3183, 7397, 3886, 11, 704, 9225, 1314, 901, 2323, 10614, 2494, 638, 21, 1642, 11, 4845, 1787, 1379, 993, 1716, 846, 6940, 23442, 704, 8404, 2340, 28, 4341, 16, 3844, 7688, 40, 17, 511, 287, 704, 16887, 1362, 28, 3436, 1769, 14, 1060, 8631, 9814, 1444, 16, 23, 1181, 22839, 15766, 46, 4022, 5643, 3844, 285, 17, 9128, 6491, 5431, 873, 638, 37, 935, 1308, 1431, 6491, 2661, 1170, 3623, 1039, 8, 7397, 3886, 11, 704, 9225, 1314, 901, 28, 6171, 2494, 638, 20, 1642, 11, 4845, 1787, 1379, 993, 1716, 370, 4611, 638, 86, 11492, 1695, 11, 704, 8404, 2340, 28, 511, 22966, 7688, 40, 2304, 511, 287, 1146, 17, 17136, 888, 1441, 10437, 1351, 1200, 950, 558, 10003, 1170, 223, 722, 2334, 3183, 7397, 3886, 28, 299, 17, 17136, 888, 695, 511, 638, 18872, 733, 814, 1198, 7397, 3886, 3183, 786, 1039, 11, 704, 9225, 1314, 901, 28, 1146, 1642, 638, 2769, 2494, 11, 4845, 1787, 1379, 993, 1716, 370, 4611, 846, 6940, 23442, 16, 704, 8404, 2340, 28, 511, 22966, 7688, 40, 17, 511, 287, 285, 17, 17136, 888, 695, 873, 638, 8063, 1431, 6491, 2661, 1170, 786, 1039, 3183, 7397, 3886, 11, 704, 9225, 1314, 901, 28, 6171, 2494, 638, 20, 1642, 11, 4845, 1787, 993, 1716, 370, 4611, 638, 86, 11492, 1695, 11, 704, 8404, 2340, 28, 511, 22966, 7688, 40, 2304, 19, 1642, 263, 17, 17136, 888, 695, 1146, 638, 37, 1581, 888, 1441, 10437, 1351, 1200, 3586, 10003, 1170, 223, 722, 2334, 3183, 7397, 3886, 2134, 704, 9225, 1314, 901, 28, 10614, 2494, 638, 21, 1642, 11, 4845, 1787, 1379, 993, 1716, 370, 4611, 638, 86, 11492, 1695, 11, 704, 8404, 2340, 28, 511, 22966, 7688, 40, 2304, 511, 287, 704, 820, 2663, 28, 8594, 1182, 1678, 4267, 1110, 1781, 901, 14, 1667, 1477, 22839, 15766, 46, 4022, 31, 6914, 1134, 1060, 8631, 9814, 1444, 16, 23, 1421, 17, 8594, 9128, 6491, 13794, 2075, 12168, 993, 704, 6940, 23442, 28, 299, 17, 9128, 6491, 695, 511, 28, 638, 18872, 733, 1431, 1364, 632, 2284, 2075, 12168, 2075, 11, 704, 9225, 1314, 901, 2323, 10614, 2494, 638, 21, 1642, 11, 704, 8404, 2340, 28, 511, 22966, 7688, 40, 2304, 511, 287, 285, 17, 9128, 6491, 695, 873, 28, 638, 8063, 1431, 6491, 2284, 2075, 12168, 993, 11, 704, 9225, 1314, 901, 28, 6171, 2494, 638, 20, 1642, 11, 704, 8404, 2340, 28, 511, 22966, 7688, 40, 2304, 511, 287, 704, 820, 2663, 28, 3436, 1769, 1231, 1091, 14, 1060, 8631, 9814, 1444, 16, 23, 1134, 22839, 15766, 46, 6914, 16, 8404, 2340, 448, 1210, 2341, 1978, 2340, 1448, 551, 14, 2340, 2258, 4400, 2125, 5354, 3136, 352, 2808, 4704, 5354, 3136, 16, 7547, 1121, 500, 551, 1602, 2990, 2906, 7648, 1185, 1459, 638, 6267, 5189, 615, 4284, 2829, 2134, 388, 563, 3011, 368, 1602, 551, 1244, 1121, 28, 6582, 5725, 2469, 14, 643, 2349, 1783, 2533, 14, 4441, 103, 4120, 14, 388, 16931, 14, 1166, 1819, 878, 2672, 643, 4456, 687, 11443, 572, 1244, 1121, 897, 442, 1655, 1602, 479, 2673, 14, 1250, 1756, 3165, 1358, 1244, 1121, 1124, 3080, 2340, 589, 2808, 728, 28, 1978, 2340, 2925, 901, 6940, 23442, 1556, 2773, 28, 20636, 7688, 40, 638, 22380, 14034, 14, 1211, 2324, 14, 3551, 2873, 8494, 5323, 6386, 3113, 867, 1200, 352, 4186, 3180, 2134, 11170, 1015, 656, 615, 427, 815, 654, 1021, 11624, 14, 2340, 2107, 1556, 2773, 20636, 7688, 40, 448, 2589, 3361, 656, 2872, 2614, 500, 442, 1944, 804, 2340, 1869, 24907, 16, 15104, 1745, 28, 8404, 12200, 637, 6914, 7688, 40, 615, 8648, 7688, 40, 450, 397, 1642, 901, 4735, 1334, 901, 12200, 28, 1245, 3365, 953, 790, 1742, 901, 12200, 450, 1522, 901, 1642, 9427, 1105, 551, 7898, 2732, 888, 3118, 450 ]
[ 1, 6716, 1735, 368, 1105, 5084, 1773, 1185, 1362, 856, 53, 415, 1833, 1121, 901, 9128, 901, 450, 798, 797, 1244, 1121, 766, 1382, 3034, 615, 415, 1840, 706, 3089, 1695, 728, 1403, 632, 2042, 1582, 2925, 901, 16, 4722, 490, 2531, 3573, 521, 1317, 2380, 1005, 454, 738, 2925, 901, 704, 1421, 1351, 903, 582, 1667, 1477, 1199, 761, 1269, 3065, 454, 651, 415, 955, 4267, 2019, 761, 564, 2925, 901, 14, 884, 766, 4714, 4714, 1814, 1737, 1597, 1459, 368, 803, 740, 397, 1597, 1245, 1244, 1121, 1351, 1200, 906, 2367, 4494, 572, 3056, 1806, 16, 14302, 14302, 14302, 3080, 2042, 1582, 4267, 2019, 761, 450, 1244, 1121, 2925, 901, 223, 856, 53, 448, 993, 940, 397, 5084, 1773, 454, 646, 2511, 24359, 10696, 1951, 2673, 1185, 1362, 856, 53, 638, 51, 53, 7886, 6049, 1094, 15375, 20656, 11, 454, 2145, 1095, 1314, 2071, 695, 7070, 352, 5062, 632, 1351, 903, 734, 657, 223, 1244, 1121, 223, 833, 3089, 1695, 761, 450, 738, 2925, 901, 14, 649, 482, 521, 1170, 985, 450, 738, 3089, 1695, 509, 16, 223, 8317, 6685, 1306, 1735, 814, 2024, 2071, 521, 4575, 3212, 415, 695, 7070, 15, 27, 352, 5773, 15, 1066, 14, 1522, 1351, 903, 442, 3089, 1695, 797, 761, 1269, 1377, 2461, 28, 1288, 14, 1477, 352, 5639, 16, 5199, 1257, 14, 567, 1522, 1351, 903, 490, 1286, 479, 940, 1317, 2380, 2269, 651, 1460, 1244, 1121, 454, 4575, 3212, 490, 14, 649, 2067, 482, 6251, 14, 1351, 903, 582, 1667, 1477, 1199, 1057, 1509, 16, 3393, 656, 509, 14, 955, 2806, 448, 8986, 1091, 1434, 1858, 1057, 1509, 740, 4644, 4379, 5537, 564, 1479, 660, 6251, 14, 2802, 2009, 2145, 920, 740, 4644, 4379, 5537, 368, 1108, 1351, 903, 490, 342, 879, 1919, 16, 8385, 223, 4588, 1306, 1735, 490, 1854, 837, 489, 1317, 2380, 2925, 901, 1100, 798, 368, 1244, 1121, 14, 489, 923, 36, 2188, 1162, 4121, 457, 638, 22, 1351, 903, 442, 3089, 1695, 797, 761, 11, 4583, 2999, 2770, 1919, 4714, 740, 2743, 651, 1244, 1121, 1351, 1200, 2925, 901, 16, 23702, 1550, 368, 15421, 5780, 7254, 450, 798, 14, 1755, 397, 3671, 638, 3022, 14, 26, 14097, 1319, 567, 415, 1244, 1121, 1351, 1200, 1071, 901, 846, 1288, 14, 1477, 14, 6251, 14, 5639, 665, 695, 10941, 14, 823, 2999, 2770, 490, 448, 2269, 1980, 733, 897, 4382, 14, 21, 7, 665, 695, 5773, 16, 14302, 14302, 6727, 1257, 814, 490, 377, 370, 1815, 342, 521, 1351, 903, 582, 1667, 1477, 2091, 1389, 377, 897, 342, 521, 2042, 1582, 5429, 2050, 564, 2925, 901, 16, 6727, 567, 1421, 1351, 903, 1269, 377, 5007, 1703, 651, 1460, 1244, 1121, 1351, 1200, 2925, 901, 454, 4575, 3212, 490, 1567, 884, 377, 897, 1377, 442, 4078, 644, 1703, 2139, 482, 2743, 651, 1460, 1244, 1121, 1351, 1200, 16, 8385, 223, 9636, 2654, 977, 1170, 1559, 450, 738, 2269, 651, 1460, 1597, 1459, 368, 415, 1351, 903, 490, 740, 1597, 1245, 1244, 1121, 1351, 1200, 16, 6100, 2367, 370, 797, 790, 2130, 415, 955, 352, 415, 1245, 1520, 901, 3847, 1849, 1397, 3873, 5940, 1244, 1351, 1200, 16, 6100, 2367, 797, 415, 1245, 1866, 3395, 2107, 2917, 572, 1351, 1200, 377, 733, 1308, 2906, 1534, 657, 897, 1035, 415, 223, 4644, 4379, 5537, 1351, 1200, 1743, 3342, 2632, 1534, 1556, 790, 649, 2399, 415, 1244, 1121, 1187, 2209, 521, 2042, 1582, 2925, 901, 370, 1978, 2340, 1268, 1170, 748, 657, 1269, 442, 692, 1100, 740, 660, 1069, 16, 14302, 13680, 1667, 1351, 1200, 368, 1245, 1269, 342, 4875, 1510, 1039, 757, 368, 1244, 1121, 223, 3393, 656, 370, 879, 797, 1479, 1376, 14, 823, 2532, 1667, 1351, 1200, 1269, 342, 4875, 1510, 1039, 757, 450, 1244, 1121, 656, 3089, 1695, 2042, 1582, 2925, 901, 16, 3393, 567, 1108, 1105, 5084, 1773, 368, 856, 53, 454, 521, 4575, 3212, 490, 14, 1170, 985, 1400, 442, 6234, 2050, 797, 761, 1269, 342, 812, 21210, 1364, 442, 692, 1100, 1351, 1200, 4, 704, 442, 3089, 1695, 1541, 20413, 14, 24, 7, 651, 436, 442, 1574, 454, 695, 7070, 15, 27, 14, 352, 6209, 14, 21, 7, 454, 695, 5773, 15, 1066, 16, 223, 13249, 5084, 1773, 14, 521, 1170, 985, 728, 564, 3089, 1695, 1582, 615, 2925, 901, 1269, 1854, 1157, 3088, 1050, 14, 733, 370, 1108, 1170, 985, 1479, 1376, 2069, 2252, 16, 6954, 985, 1057, 761, 14, 812, 86, 1120, 2209, 1154, 1300, 571, 738, 1015, 656, 1182, 1678, 3830, 450, 798, 397, 651, 1460, 906, 2367, 1703, 415, 1833, 1121, 1351, 1200, 901, 1431, 901, 1351, 1200, 1382, 3034, 615, 1154, 1300, 738, 571, 1015, 656, 1182, 1678, 564, 3089, 1695, 2042, 1582, 2925, 901, 16, 6954, 985, 1057, 1108, 14, 923, 2049, 6410, 1582, 368, 1245, 3830, 649, 450, 798, 521, 4946, 1534, 368, 415, 1245, 454, 738, 5722, 1050, 1584, 1769, 740, 1351, 1200, 448, 442, 9782, 14051, 397, 920, 7087, 2069, 14, 905, 660, 797, 1244, 1121, 3089, 1695, 1245, 3524, 740, 2532, 1667, 368, 1245, 748, 342, 3524, 740, 1503, 615, 2925, 901, 16, 14302, 14302, 4588, 1170, 985, 728, 1994, 228, 3089, 1695, 1582, 615, 2925, 901, 1854, 1157, 3088, 1050, 450, 798, 768, 415, 1244, 1121, 1351, 1200, 1287, 757, 223, 4376, 4049, 615, 797, 2042, 1582, 2925, 901, 223, 748, 14, 884, 377, 370, 1815, 768, 534, 1479, 1376, 521, 4875, 1510, 368, 534, 454, 1302, 1334, 3089, 1695, 16, 12174, 665, 509, 14, 651, 1460, 415, 955, 352, 415, 1245, 2952, 442, 2532, 1667, 1351, 1200, 14, 649, 482, 3633, 1833, 415, 1840, 2706, 728, 14, 2035, 2266, 482, 1978, 2340, 352, 1719, 2205, 738, 571, 1015, 1182, 1678, 766, 377, 5007, 1703, 1091, 16, 14302, 223, 7547, 624, 8684, 4762, 74, 9273, 82, 18180, 9740, 16, 68, 5555, 7277, 16, 2693, 17, 17726, 72, 5298, 17, 7142, 24, 2486, 1372, 2385, 9090, 2465, 1092, 1092, 24, 80, 3616, 82, 3698, 34, 68, 5555, 7277, 16, 2693, 86, 2045, 28, 68, 5555, 7277, 16, 2693, 14, 12880, 28, 68, 5555, 15, 3918, 973, 1372, 2452, 1092, 24, 1066, 16360, 4659, 16, 82, 6573, 15, 893, 2354, 1066, 1099, 1092, 8180, 3628, 2308, 3664, 5311, 15 ]
[ 1, 30, 82, 32, 30, 72, 10148, 2448, 4667, 15183, 15878, 815, 3463, 9955, 418, 4, 266, 19126, 15183, 21, 17658, 1241, 733, 342, 397, 1351, 903, 1652, 1185, 761, 740, 660, 1069, 14, 5639, 897, 342, 397, 454, 651, 415, 1351, 903, 760, 15, 25, 757, 1509, 450, 1371, 1389, 1951, 2673, 1713, 1724, 757, 436, 1431, 761, 16, 5024, 1053, 1747, 5084, 1800, 6070, 985, 2397, 782, 1645, 2088, 846, 860, 532, 1119, 1695, 5639, 342, 1582, 615, 5137, 727, 2729, 2725, 1978, 1387, 368, 803, 3103, 16, 10990, 72, 10148, 32, 10990, 82, 32, 8535, 82, 32, 30, 6335, 2304, 32, 10990, 82, 32, 8535, 74, 20, 32, 30, 72, 10148, 2448, 4667, 15183, 15878, 815, 3463, 9955, 418, 4, 266, 19126, 15183, 21, 17658, 19, 16, 461, 1175, 1951, 2673, 2579, 1667, 1351, 1200, 10990, 72, 10148, 32, 10990, 74, 20, 32, 8535, 82, 32, 30, 72, 10148, 2448, 4667, 15183, 15878, 815, 3463, 9955, 418, 4, 266, 19126, 15183, 21, 17658, 18419, 8535, 17, 72, 10148, 32, 30, 67, 22756, 15183, 74, 9273, 82, 18180, 6466, 483, 70, 11083, 16, 261, 87, 463, 8241, 88, 5124, 16, 2693, 4, 445, 6124, 309, 15183, 65, 7320, 6674, 17658, 30, 72, 10148, 2448, 4667, 15183, 15878, 815, 3463, 9955, 418, 4, 266, 19126, 15183, 21, 17658, 6466, 843, 2673, 10990, 72, 10148, 32, 10990, 67, 32, 30, 72, 10148, 2448, 4667, 15183, 15878, 815, 3463, 9955, 418, 4, 266, 19126, 15183, 21, 17658, 846, 5639, 978, 4427, 1244, 1121, 637, 4144, 1503, 740, 660, 1069, 16, 9265, 695, 14, 748, 3357, 16, 1544, 1244, 1121, 1351, 1200, 1086, 5639, 564, 3705, 1300, 2302, 1387, 489, 2116, 1460, 1039, 757, 16, 8820, 489, 1871, 955, 5639, 6703, 2303, 14, 532, 370, 479, 1801, 7256, 415, 1244, 1121, 615, 637, 4144, 1503, 740, 660, 1069, 16, 7385, 748, 1146, 893, 1154, 2393, 1951, 2673, 846, 782, 14, 532, 2227, 3037, 500, 1187, 442, 3682, 1245, 3848, 1268, 761, 489, 803, 16, 10990, 72, 10148, 32, 10990, 82, 32, 8535, 74, 20, 32, 30, 72, 10148, 2448, 4667, 15183, 15878, 815, 3463, 9955, 418, 4, 266, 19126, 15183, 21, 17658, 20, 16, 4958, 2340, 1244, 1938, 352, 901, 1716, 3574, 10990, 72, 10148, 32, 10990, 74, 20, 32, 8535, 82, 32, 30, 72, 10148, 2448, 4667, 15183, 15878, 815, 3463, 9955, 418, 4, 266, 19126, 15183, 21, 17658, 8540, 2340, 352, 1222, 567, 1244, 1938, 846, 5639, 3574, 748, 1821, 489, 797, 955, 728, 482, 1477, 14, 3235, 14, 1288, 14, 2806, 17852, 5639, 342, 397, 454, 651, 415, 1351, 903, 760, 15, 25, 370, 2356, 901, 2340, 3574, 761, 14, 3211, 706, 692, 1165, 955, 490, 897, 442, 3557, 3357, 7, 901, 2340, 615, 695, 3436, 1769, 16, 4293, 370, 479, 1187, 798, 797, 1154, 2393, 1951, 2673, 1514, 1611, 415, 3959, 901, 489, 2340, 2397, 1800, 16, 1544, 3067, 17, 511, 695, 16, 10990, 72, 10148, 32, 10990, 82, 32, 8535, 74, 20, 32, 30, 72, 10148, 2448, 4667, 15183, 15878, 815, 3463, 9955, 418, 4, 266, 19126, 15183, 21, 17658, 21, 16, 1129, 903, 1882, 2084, 1868, 10990, 72, 10148, 32, 10990, 74, 20, 32, 8535, 82, 32, 30, 72, 10148, 2448, 4667, 15183, 15878, 815, 3463, 9955, 418, 4, 266, 19126, 15183, 21, 17658, 5892, 2252, 2942, 4705, 1165, 3729, 14, 846, 5639, 14, 532, 500, 370, 1305, 3112, 2067, 482, 551, 786, 803, 932, 16, 5639, 342, 1351, 903, 1239, 804, 1541, 521, 436, 2371, 3136, 615, 637, 4144, 1503, 740, 660, 1069, 16, 3356, 5639, 3442, 1388, 1419, 1882, 3485, 352, 1882, 3237, 3729, 16, 3718, 905, 932, 14, 532, 377, 979, 1036, 3755, 632, 738, 2174, 1745, 6867, 3729, 1181, 4785, 5372, 482, 397, 651, 1351, 903, 728, 482, 28, 2500, 14, 1288, 1124, 10990, 72, 10148, 32, 10990, 82, 32, 8535, 74, 20, 32, 30, 72, 10148, 2448, 4667, 15183, 15878, 815, 3463, 9955, 418, 4, 266, 19126, 15183, 21, 17658, 22, 16, 1129, 903, 7044, 3075, 10990, 72, 10148, 32, 10990, 74, 20, 32, 8535, 82, 32, 30, 72, 10148, 2448, 4667, 15183, 15878, 815, 3463, 9955, 418, 4, 266, 19126, 15183, 21, 17658, 15381, 4335, 370, 1108, 3162, 3075, 790, 1387, 342, 8535, 17, 72, 10148, 32, 30, 67, 22756, 15183, 74, 9273, 82, 18180, 86, 1589, 261, 670, 88, 1976, 16, 2693, 4, 445, 6124, 309, 15183, 65, 7320, 6674, 17658, 30, 72, 10148, 2448, 4667, 15183, 15878, 815, 3463, 9955, 418, 4, 266, 19126, 15183, 21, 17658, 14912, 1477, 10990, 72, 10148, 32, 10990, 67, 32, 30, 72, 10148, 2448, 4667, 15183, 15878, 815, 3463, 9955, 418, 4, 266, 19126, 15183, 21, 17658, 352, 1667, 3235, 16, 4293, 370, 479, 1695, 901, 1308, 397, 454, 1108, 1057, 1667, 1134, 1747, 903, 397, 1245, 7044, 3075, 16, 461, 1552, 1377, 2196, 660, 368, 738, 804, 21832, 797, 3009, 3075, 454, 1095, 1520, 1441, 1200, 1185, 1362, 1005, 490, 14, 901, 1716, 846, 5639, 2227, 3037, 500, 1502, 532, 3301, 2196, 454, 5521, 1678, 368, 803, 14, 1308, 920, 1747, 903, 415, 3813, 901, 3009, 3075, 454, 1095, 1314, 2925, 901, 16, 10990, 72, 10148, 32, 10990, 82, 32, 8535, 74, 20, 32, 30, 72, 10148, 2448, 4667, 15183, 15878, 815, 3463, 9955, 418, 4, 266, 19126, 15183, 21, 17658, 23, 16, 13980, 4658, 415, 1951, 2112, 14, 786, 2764, 901, 2579, 2532, 761, 660, 1069, 10990, 72, 10148, 32, 10990, 74, 20, 32, 8535, 82, 32, 30, 72, 10148, 2448, 4667, 15183, 15878, 815, 3463, 9955, 418, 4, 266, 19126, 15183, 21, 17658, 1658, 1951, 2112, 5645, 14, 415, 786, 2764, 901, 2532, 1667, 352, 415, 2284, 6156, 543, 1080, 2532, 660, 1069, 3065, 454, 2317, 7464, 9555, 1358, 5902, 3659, 846, 415, 1245, 1520, 901, 5639, 16, 8404, 1716, 846, 5639, 14, 532, 370, 814, 2511, 1801, 7256, 415, 888, 1817, 2579, 1667, 16, 5318, 342, 521, 436, 2625, 757, 454, 797, 3705, 1989, 728, 1403, 16, 14197, 1291, 691, 920, 2174, 1501, 6294, 1314, 14, 532, 500, 2526, 2196, 879, 797, 637, 738, 1801, 7256, 521, 888, 1817, 2579, 1667, 740, 352, 370, 1154, 1300, 4462, 1376, 2941, 900, 352, 1233 ]
[ 1, 30, 82, 32, 30, 85, 8282, 32, 1673, 3099, 2190, 695, 1231, 640, 782, 14, 1039, 5176, 1245, 1520, 901, 1199, 1351, 1200, 223, 557, 223, 1082, 923, 2049, 745, 1358, 457, 665, 1621, 1330, 2107, 415, 3813, 901, 21910, 16, 13042, 489, 923, 69, 595, 8377, 457, 21910, 368, 415, 2275, 1678, 1199, 14, 738, 901, 21910, 454, 955, 1231, 804, 3183, 378, 1792, 29, 22304, 3873, 8, 378, 1792, 29, 1788, 3831, 368, 521, 786, 2661, 1170, 1774, 1270, 934, 16, 8535, 17, 85, 8282, 32, 10990, 82, 32, 8535, 82, 32, 2237, 1245, 1520, 901, 9327, 3746, 368, 955, 1639, 14, 1134, 1483, 1306, 489, 415, 1245, 368, 955, 2393, 846, 14, 1134, 1079, 1514, 1611, 415, 14360, 901, 21910, 1838, 846, 955, 509, 14, 1502, 436, 901, 370, 479, 2826, 7066, 2069, 2252, 1978, 2340, 1448, 551, 14, 607, 640, 657, 1269, 370, 2294, 1270, 2952, 442, 2302, 1387, 352, 1308, 1364, 370, 1222, 1474, 16, 5199, 901, 846, 2594, 14, 2116, 1460, 5902, 3659, 352, 1308, 1364, 370, 1222, 368, 521, 3813, 21910, 454, 955, 922, 1269, 748, 5308, 2116, 1460, 1951, 2673, 368, 521, 1245, 1520, 901, 377, 1584, 1769, 551, 955, 1639, 14, 2009, 940, 846, 14, 377, 2114, 436, 1621, 1269, 900, 1308, 3009, 1182, 748, 1124, 10990, 82, 32, 8535, 82, 32, 2782, 1257, 14, 564, 1071, 901, 3813, 21910, 454, 955, 704, 1308, 1364, 1351, 1200, 14, 532, 979, 589, 1187, 1645, 1320, 2515, 632, 415, 1245, 955, 1639, 370, 1483, 1306, 489, 1621, 1330, 1037, 656, 1695, 1245, 1071, 901, 1322, 377, 833, 923, 86, 1081, 1737, 8601, 2026, 3830, 1541, 377, 589, 5290, 1308, 21910, 734, 649, 370, 1222, 1474, 14, 2179, 1745, 342, 1222, 1474, 1351, 1200, 16, 30, 1145, 73, 262, 1068, 1267, 15183, 4, 6297, 86, 15183, 4, 266, 84, 69, 15183, 74, 9273, 82, 18180, 1094, 88, 3453, 16, 88, 5124, 6230, 13198, 85, 16, 2693, 17, 72, 20815, 17, 1145, 2045, 312, 16890, 17, 1970, 18021, 80, 2893, 65, 1851, 26, 90, 13063, 17, 72, 20815, 17, 16066, 16, 22661, 73, 4, 2304, 32, 8939, 2184, 490, 1345, 2654, 4041, 1860, 1364, 450, 532, 1110, 946, 632, 521, 3813, 901, 21910, 2182, 9327, 3746, 846, 1621, 1330, 940, 1230, 489, 797, 3586, 901, 14, 1239, 1387, 901, 352, 2356, 901, 2340, 728, 1403, 564, 532, 370, 479, 3089, 1695, 16, 8535, 17, 82, 32, 8535, 82, 32, 2529, 14, 5290, 1308, 21910, 1351, 1200, 901, 454, 955, 2069, 1222, 1210, 3443, 33, 5071, 649, 370, 479, 798, 1035, 2356, 901, 2340, 1567, 7454, 748, 1308, 21910, 901, 551, 955, 1639, 16, 5199, 1257, 14, 1222, 1474, 1199, 748, 352, 2259, 3010, 748, 368, 458, 3065, 551, 2594, 436, 1621, 448, 370, 479, 302, 913, 18770, 521, 2302, 1387, 6152, 1431, 2026, 4287, 1351, 1200, 1838, 846, 1621, 1330, 14, 352, 1222, 1474, 21910, 482, 660, 734, 897, 1842, 2445, 665, 738, 445, 901, 352, 2632, 953, 5290, 1308, 922, 665, 993, 10823, 572, 860, 3, 10990, 82, 32, 8535, 82, 32, 30, 85, 8282, 32, 5039, 946, 3813, 901, 21910, 846, 1621, 1330, 10990, 85, 8282, 32, 10990, 82, 32, 8535, 82, 32, 30, 85, 8282, 32, 43, 16, 624, 468, 1447, 901, 21910, 33, 10990, 85, 8282, 32, 30, 85, 8282, 32, 8535, 17, 85, 8282, 32, 8535, 6335, 2304, 32, 1366, 377, 2183, 2294, 1270, 1978, 1891, 901, 2340, 14, 532, 370, 479, 8518, 1447, 1071, 2586, 1334, 3183, 378, 1792, 29, 13984, 2054, 1556, 790, 611, 15318, 704, 17907, 6144, 1964, 1308, 24355, 1916, 1351, 1200, 846, 3567, 86, 1330, 8, 378, 1792, 29, 442, 993, 940, 1071, 4110, 3301, 442, 2614, 2071, 611, 15318, 352, 6794, 837, 1153, 1719, 1129, 1200, 2214, 2374, 704, 17907, 6144, 638, 5352, 1484, 16, 53, 12558, 685, 6829, 5550, 14135, 795, 22150, 7757, 2134, 17907, 6144, 500, 1326, 2572, 450, 1244, 1121, 8518, 3932, 846, 611, 15318, 564, 901, 415, 2586, 1334, 1431, 901, 1483, 1306, 442, 17907, 6144, 3061, 3301, 846, 1621, 1330, 14, 1210, 2341, 521, 2586, 1334, 1015, 28, 8535, 17, 82, 32, 8535, 82, 32, 12, 4735, 1334, 1431, 901, 10003, 1474, 1441, 2275, 638, 17921, 11, 368, 1245, 13126, 4970, 15375, 317, 10839, 14, 619, 42, 1129, 6328, 1306, 1268, 489, 6768, 619, 42, 23642, 368, 2214, 2374, 16, 619, 37, 28, 511, 2890, 8515, 14311, 14, 856, 16, 16270, 1998, 478, 14, 4127, 5343, 16, 21091, 82, 18180, 9740, 16, 74, 85, 68, 16, 1168, 87, 16, 18141, 17, 56, 8800, 6691, 16, 74, 86, 79, 8535, 17, 82, 32, 8535, 82, 32, 12, 4735, 1334, 1431, 901, 632, 1441, 1200, 1153, 1719, 638, 47, 13974, 2646, 619, 42, 3751, 19729, 1129, 5347, 1306, 1268, 489, 415, 1245, 1520, 901, 368, 4127, 3382, 352, 8861, 16, 619, 37, 28, 847, 25, 9688, 20088, 14, 4127, 5343, 16, 21091, 82, 18180, 9740, 16, 2272, 87, 16, 1168, 87, 16, 18141, 17, 286, 8067, 1061, 17, 441, 87, 414, 279, 560, 65, 70, 15583, 16, 74, 86, 16176, 8535, 17, 82, 32, 8535, 82, 32, 12, 4735, 1334, 1431, 901, 10003, 1474, 1441, 2275, 638, 17921, 2646, 619, 42, 3751, 19729, 1129, 5347, 1306, 1268, 489, 1245, 1520, 901, 6726, 368, 2214, 1642, 16, 619, 37, 28, 847, 25, 9688, 20088, 14, 4127, 5343, 16, 21091, 82, 18180, 9740, 16, 2272, 87, 72, 1589, 16, 3277, 17, 16780, 19845, 16, 17880, 8535, 17, 82, 32, 8535, 82, 32, 12, 4735, 1334, 1431, 901, 3751, 2275, 1351, 1200, 14, 619, 42, 3751, 1200, 388, 82, 16, 21160, 1306, 1268, 489, 6768, 619, 42, 3168, 2284, 427, 1547, 8241, 1567, 6251, 16, 619, 37, 28, 17539, 37, 4676, 12145, 1219, 956, 14, 856, 16, 21, 14, 388, 82, 16, 21160, 16, 21091, 82, 18180, 9740, 16, 4614, 74, 16, 1168, 87, 16, 18141, 17, 21312, 8241, 17, 8535, 17, 82, 32, 8535, 82, 32, 12, 1760, 1334, 1431, 901, 10003, 1474, 1441, 2275, 638, 17921, 11, 368, 17883, 2664, 692, 2284, 2634, 3397, 846, 3772, 1306, 1268, 4273, 548, 17883, 692, 2284, 4402, 3397, 3816, 3382, 16, 619, 37, 28, 5439, 7196, 6120, 15253 ]
[ 1, 30, 82, 32, 37, 911, 85, 654, 1021, 11624, 352, 528, 6964, 342, 1108, 1245, 2582, 2661, 1474, 1829, 3886, 2579, 1667, 489, 3959, 901, 1270, 934, 352, 3357, 7, 1244, 1121, 442, 3085, 1326, 993, 1716, 1857, 695, 1787, 1379, 846, 6940, 8216, 1181, 955, 1639, 16, 10990, 82, 32, 8535, 82, 32, 11842, 4122, 1069, 4856, 1108, 1245, 427, 911, 85, 654, 1021, 11624, 352, 528, 6964, 14, 901, 12200, 352, 415, 1154, 1300, 738, 571, 442, 1514, 1611, 2277, 74, 704, 3291, 74, 846, 8189, 13581, 665, 4053, 17, 24, 14, 1829, 3886, 8543, 5942, 6260, 704, 651, 873, 692, 1245, 15175, 8931, 14, 12238, 511, 29, 846, 4127, 5343, 665, 4446, 17, 25, 14, 1829, 3886, 12128, 835, 704, 13246, 36, 6954, 16422, 24076, 16, 7397, 1747, 1250, 665, 2085, 3557, 2340, 16, 10990, 82, 32, 8535, 82, 32, 37, 911, 85, 654, 1021, 11624, 352, 528, 6964, 342, 1108, 1245, 2582, 2661, 1474, 1829, 3886, 2579, 1667, 14, 3357, 7, 3932, 6940, 8216, 14, 489, 1840, 2706, 5902, 3659, 352, 521, 724, 436, 814, 1198, 2026, 2091, 1389, 6940, 8216, 2179, 7208, 16, 3080, 1708, 901, 2393, 940, 1520, 14, 1434, 1858, 1781, 1383, 804, 1935, 489, 1244, 1121, 637, 5126, 1351, 903, 16, 4735, 1334, 901, 1306, 1268, 2071, 1170, 3522, 352, 993, 1198, 16, 8216, 651, 3959, 2114, 564, 1857, 1244, 1121, 1286, 1100, 442, 646, 837, 1383, 352, 1502, 4019, 979, 1576, 16, 10990, 82, 32, 8535, 82, 32, 6051, 1108, 1245, 1286, 837, 1383, 1086, 738, 571, 450, 1244, 1121, 1015, 656, 1182, 1678, 16, 15681, 2435, 5940, 953, 1351, 1200, 1514, 1611, 1857, 695, 1108, 1280, 665, 1379, 1146, 352, 1379, 1800, 489, 1755, 3357, 1157, 1637, 637, 415, 1716, 3366, 1829, 3886, 14, 15902, 3796, 14, 5363, 1039, 377, 687, 352, 415, 1514, 1611, 1441, 2275, 16, 9636, 1244, 1121, 2614, 442, 1268, 1211, 1037, 656, 1182, 1678, 16, 18461, 782, 761, 14, 397, 1244, 1121, 1621, 1330, 733, 1015, 1787, 1379, 1170, 3522, 846, 1520, 901, 427, 911, 85, 654, 1021, 11624, 448, 442, 1100, 571, 738, 846, 1829, 3886, 5942, 6260, 14, 10504, 19039, 638, 8294, 11, 489, 2356, 4611, 3938, 1582, 1854, 4736, 1787, 507, 2293, 397, 695, 16, 10990, 82, 32, 8535, 82, 32, 10485, 1121, 1015, 656, 1182, 1678, 846, 427, 911, 85, 654, 1021, 11624, 352, 528, 6964, 370, 479, 571, 738, 454, 797, 3705, 1989, 28, 4722, 1198, 1829, 3886, 14, 786, 1039, 14, 15902, 22517, 14, 263, 1141, 6745, 14, 2661, 1170, 2925, 2334, 352, 274, 431, 1198, 14, 692, 1832, 1039, 377, 14, 1514, 1611, 1300, 2663, 14, 1300, 4122, 14, 2091, 1110, 352, 1381, 706, 14, 1556, 790, 3767, 1039, 14, 1153, 1719, 1316, 934, 1430, 14, 1705, 3520, 1351, 1200, 704, 3009, 1941, 687, 3184, 1854, 2892, 8058, 1788, 489, 797, 1154, 1300, 2917, 2107, 16, 10990, 82, 32, 8535, 82, 32, 23556, 901, 846, 1245, 1270, 934, 352, 1854, 1637, 489, 738, 3618, 13357, 665, 692, 1637, 3659, 352, 901, 16, 8404, 12200, 4508, 1071, 2586, 1334, 2872, 2614, 352, 1306, 1735, 901, 1716, 14, 637, 873, 16, 1544, 7688, 40, 615, 1800, 16, 1544, 7688, 40, 16, 3357, 7, 1244, 1121, 442, 3085, 1326, 993, 1716, 1857, 695, 1787, 1379, 846, 6940, 8216, 1181, 955, 1639, 16, 16747, 864, 1050, 846, 6940, 8216, 342, 873, 16, 9620, 7688, 40, 704, 873, 16, 6885, 7688, 40, 397, 1379, 16, 10990, 82, 32, 8535, 82, 32, 2657, 2511, 2371, 901, 28, 1060, 8631, 9814, 1421, 16, 18, 564, 901, 1477, 3075, 1250, 720, 638, 22, 15, 474, 2494, 11, 352, 1060, 8631, 9814, 1444, 16, 18, 450, 2586, 1334, 695, 761, 14, 1722, 1319, 655, 54, 10129, 14, 2158, 6353, 4533, 1769, 16, 23214, 5902, 665, 1379, 511, 14, 1421, 14, 1905, 14, 1800, 16, 7547, 1121, 442, 901, 1721, 1667, 3235, 14, 2806, 14, 3073, 4028, 4832, 16, 10990, 82, 32, 8535, 82, 32, 30, 6335, 2304, 32, 10990, 82, 32, 8535, 82, 32, 10485, 1121, 1015, 656, 1182, 1678, 846, 427, 911, 85, 654, 1021, 11624, 352, 528, 6964, 370, 479, 571, 738, 454, 797, 3705, 1989, 28, 4722, 1198, 1829, 3886, 14, 786, 1039, 14, 15902, 22517, 14, 263, 1141, 6745, 14, 2661, 1170, 2925, 2334, 352, 274, 431, 1198, 687, 10990, 82, 32, 8535, 82, 32, 6345, 901, 427, 911, 85, 654, 1021, 11624, 8535, 17, 82, 32, 8535, 82, 32, 15586, 1584, 1071, 397, 888, 1817, 10919, 2533, 704, 3128, 427, 911, 85, 654, 1021, 11624, 14, 436, 1788, 1659, 415, 1829, 3886, 1021, 11624, 2579, 1667, 352, 2532, 1222, 551, 2634, 2984, 14, 1447, 1706, 1716, 3366, 1021, 11624, 704, 12842, 2834, 906, 1230, 16, 2799, 901, 427, 911, 85, 654, 1021, 11624, 448, 1231, 804, 2361, 2388, 1840, 2361, 632, 2116, 1460, 352, 1419, 1512, 3237, 368, 2586, 1334, 2661, 1170, 1829, 3886, 16, 8535, 17, 82, 32, 8535, 82, 32, 10485, 1121, 1182, 1678, 442, 1100, 1308, 1364, 6940, 8216, 638, 2049, 402, 901, 427, 911, 85, 654, 1021, 11624, 2646, 1477, 1351, 638, 15242, 15638, 503, 8186, 3295, 1471, 15269, 10480, 11, 352, 1288, 638, 57, 6489, 24320, 10480, 2134, 4967, 342, 1245, 2661, 1474, 1829, 3886, 2506, 761, 6940, 8216, 442, 1364, 4400, 2080, 1100, 9327, 3746, 22038, 2761, 862, 637, 1514, 1611, 2925, 2334, 660, 1069, 3276, 5649, 1351, 638, 13276, 20702, 16, 54, 1168, 2761, 862, 2134, 10990, 82, 32, 8535, 82, 32, 6172, 1708, 901, 2393, 14, 2445, 1708, 1989, 582, 1667, 3235, 638, 14946, 519, 2095, 4367, 309, 11, 352, 1667, 2806, 638, 6661, 69, 546, 2272, 3183, 4909, 29, 4067, 2188, 11, 368, 6940, 8216, 16, 4735, 1334, 2572, 2064, 638, 46, 7311, 546, 5409, 16969, 9097, 11, 368, 1245, 4769, 1482, 2469, 10566, 14, 1716, 1781, 665, 660, 1849, 368, 1857, 702, 888, 14, 2632, 953, 1883, 1735, 415, 2515, 1270, 454, 1441, 2275, 16, 3080, 1250, 2172, 1509, 1540, 993, 1200, 1071, 1265, 1362, 368, 415, 1829, 3886, 1134, 415, 692, 1832, 1441, 2275, 16, 3080, 3697, 2380, 1678, 607, 3325, 2056, 993, 1200, 352, 571, 738, 489, 8267, 4291, 888, 646, 415, 1829 ]
[ 1, 59, 8671, 55, 427, 17770, 55, 643, 43, 16903, 4441, 100, 37, 643, 259, 251, 50, 619, 11200, 55, 7833, 17770, 55, 1060, 4831, 5758, 16848, 1567, 14580, 4698, 14298, 1567, 17916, 1066, 16, 23, 2678, 16, 25, 968, 1060, 16, 5343, 3438, 3959, 619, 13521, 1154, 1248, 511, 16, 427, 580, 1869, 3288, 1245, 352, 1459, 3963, 873, 16, 17543, 1649, 3898, 1270, 1534, 1146, 16, 9245, 6091, 15524, 352, 1382, 1840, 706, 2429, 15524, 1421, 16, 24337, 2361, 3900, 1250, 15524, 1444, 16, 461, 6974, 1649, 3898, 1250, 15524, 7522, 16, 5343, 3438, 3813, 901, 856, 9364, 4576, 1431, 1787, 16, 8654, 1482, 1483, 2532, 786, 15524, 1905, 16, 1021, 2954, 15524, 1997, 16, 9688, 3633, 571, 2088, 1649, 3898, 1250, 15524, 2277, 16, 8984, 1362, 571, 2088, 1649, 3898, 4410, 15524, 17597, 16, 8185, 1608, 901, 1800, 16, 4845, 8404, 2561, 3462, 28, 4722, 5374, 1412, 1419, 1035, 388, 9160, 88, 8332, 2304, 20287, 279, 2366, 8332, 352, 1157, 2533, 2561, 1259, 879, 1883, 1735, 454, 738, 1602, 2766, 1748, 88, 1446, 16, 3291, 16, 4845, 8404, 511, 8714, 511, 28, 511, 5211, 511, 2202, 14, 901, 352, 993, 1198, 2561, 1259, 740, 1371, 1389, 619, 1188, 15524, 1351, 903, 2424, 1645, 16, 15337, 1523, 1756, 1574, 1838, 1659, 2514, 16, 2963, 16, 4845, 8404, 2340, 28, 5605, 1381, 740, 2707, 4084, 4389, 1829, 1039, 3437, 13725, 24345, 16, 461, 6974, 901, 2340, 665, 1556, 2773, 28, 18042, 1274, 1544, 4089, 27, 2465, 11085, 16859, 259, 229, 48, 528, 49, 4850, 3737, 388, 55, 11200, 48, 15582, 6767, 2693, 68, 6674, 4845, 11218, 13725, 564, 4084, 4389, 352, 2733, 2054, 795, 21895, 47, 28, 2442, 23003, 643, 259, 251, 50, 619, 11200, 55, 7833, 17770, 55, 8981, 259, 111, 37, 388, 16859, 9561, 48, 14, 2454, 577, 11200, 55, 7833, 17770, 55, 856, 18603, 503, 11227, 3737, 63, 2442, 23003, 643, 43, 16903, 4441, 100, 37, 388, 16859, 259, 227, 48, 24236, 100, 3737, 643, 259, 251, 50, 619, 11200, 55, 7833, 17770, 55, 1060, 4831, 5758, 16848, 14, 528, 14026, 46, 6226, 39, 17916, 9671, 2678, 25, 968, 3276, 1983, 5940, 1244, 643, 15620, 619, 1188, 15524, 14554, 6794, 1248, 16, 8404, 1613, 1524, 74, 507, 1039, 906, 14, 993, 1198, 2561, 1259, 740, 1371, 1389, 14, 511, 8714, 511, 14, 2424, 1645, 16, 2442, 23003, 4864, 253, 230, 4797, 9021, 1261, 619, 1188, 15524, 14554, 11069, 6091, 1567, 4797, 19763, 7867, 1686, 9671, 2678, 25, 968, 4864, 253, 230, 570, 6505, 2100, 10861, 14, 4086, 1869, 3288, 1245, 14, 1459, 3963, 2429, 15524, 1035, 2108, 4864, 253, 230, 16188, 1364, 1459, 3963, 11130, 3361, 352, 11130, 3361, 1162, 19, 4864, 253, 230, 9845, 733, 28, 11777, 3209, 688, 7369, 681, 464, 14, 8189, 7253, 528, 4195, 14, 10073, 4368, 4864, 253, 230, 9973, 2533, 28, 17916, 9671, 2678, 25, 968, 1567, 314, 4010, 2332, 2678, 25, 968, 4864, 253, 230, 1162, 418, 82, 5860, 2323, 4864, 253, 230, 4898, 28, 795, 4456, 42, 570, 5451, 6759, 427, 22293, 624, 6144, 7126, 643, 43, 16903, 21754, 4456, 619, 9561, 48, 619, 11200, 55, 7833, 17770, 55, 503, 11227, 3737, 519, 11227, 48, 619, 35, 3737, 427, 17770, 48, 388, 14261, 47, 528, 8337, 227, 55, 28, 511, 16, 4588, 2752, 1233, 656, 1747, 903, 2429, 15524, 1035, 2108, 7507, 17916, 9671, 2678, 25, 968, 28, 873, 16, 15824, 2050, 24337, 7014, 3898, 11130, 15524, 619, 1188, 15524, 14554, 28, 1146, 16, 528, 12229, 251, 3737, 795, 260, 106, 48, 427, 5451, 6759, 1689, 8800, 7833, 12694, 388, 6226, 22540, 7833, 6401, 760, 7659, 8981, 259, 111, 37, 388, 16859, 9561, 48, 28, 1421, 16, 10935, 15547, 50, 427, 22293, 528, 14261, 7197, 18693, 104, 37, 503, 18603, 528, 4850, 3737, 14, 619, 11200, 55, 7833, 17770, 55, 8981, 259, 111, 37, 388, 16859, 9561, 48, 7507, 6100, 7771, 17, 1670, 17, 5581, 7507, 2454, 60, 10158, 49, 17916, 9671, 2678, 25, 968, 7576, 1444, 16, 619, 11200, 55, 7833, 17770, 55, 503, 11227, 3737, 19138, 22655, 10935, 19727, 461, 19962, 47, 6496, 7833, 7126, 17883, 1274, 4720, 28, 1905, 16, 528, 12229, 251, 3737, 795, 260, 106, 48, 10935, 15547, 50, 503, 260, 106, 55, 619, 11200, 55, 7833, 17770, 55, 503, 11227, 3737, 19138, 22655, 10935, 19727, 461, 19962, 47, 6496, 14, 11218, 13725, 17916, 9671, 2678, 25, 968, 28, 1997, 16, 427, 22293, 519, 12229, 251, 37, 619, 11200, 55, 7833, 17770, 55, 8981, 259, 111, 37, 388, 16859, 9561, 48, 7507, 17532, 17, 1766, 17, 5581, 7507, 2454, 60, 10158, 49, 17916, 9671, 2678, 25, 968, 7576, 2277, 16, 5400, 2088, 7014, 3898, 1250, 15524, 8981, 259, 111, 37, 388, 16859, 9561, 48, 1158, 14, 17916, 9671, 2678, 25, 968, 28, 1800, 16, 15824, 2050, 19680, 1091, 7014, 3898, 4410, 15524, 14, 15705, 1434, 4410, 15524, 14, 2454, 577, 1188, 15524, 1035, 2108, 7576, 3291, 16, 528, 12229, 251, 3737, 795, 260, 106, 48, 13226, 10097, 519, 5451, 49, 461, 19962, 3737, 643, 259, 111, 37, 21171, 7833, 20907, 54, 519, 259, 235, 619, 11200, 55, 7833, 17770, 55, 8981, 259, 111, 37, 388, 16859, 9561, 48, 28, 2442, 23003, 9318, 17770, 48, 19138, 225, 47, 24236, 111, 22839, 5451, 48, 1162, 19, 4845, 1162, 8616, 3963, 11130, 3361, 342, 1459, 3963, 1250, 3361, 2424, 1148, 953, 761, 16, 11130, 3361, 1162, 19, 442, 415, 2515, 2112, 1148, 953, 564, 1659, 1250, 3361, 14, 3997, 1222, 14, 3997, 1222, 14, 1659, 2103, 644, 2559, 2543, 352, 1722, 3399, 692, 1334, 16, 4845, 7875, 3416, 2283, 1550, 790, 2013, 14, 2139, 4083, 16, 8616, 3963, 1706, 3399, 489, 436, 1655, 16, 4845, 388, 563, 2907, 28, 16459, 3075, 1667, 1621, 14, 24337, 637, 11402, 1250, 3361, 14737, 6957, 370, 2986, 14, 21180, 572, 11402, 14737, 6957, 14, 2024, 1455, 2307, 1050, 2356, 2424, 3540, 16, 4845, 10683, 2376, 3848, 1268, 761, 14, 3590, 1248, 352, 343, 8683, 442, 4576, 1364, 11069, 1973, 16, 4845, 2899, 1146, 6091, 1430, 1924, 28, 13403, 2706, 14, 21350, 1678, 14, 2073, 1069, 2266, 16, 643, 43, 16903, 4492, 231, 28, 1477, 14298, 16, 16483, 17916, 9671, 2678, 25, 968, 1567, 12415 ]
[ 1, 10129, 4456, 42, 9318, 49, 3737, 7688, 16859, 16903, 10977, 225, 1689, 259, 245, 570, 14276, 11085, 8810, 48, 528, 4850, 3737, 4053, 17, 1668, 17, 19746, 7507, 461, 4262, 109, 3737, 427, 8810, 55, 461, 15089, 43, 528, 19219, 368, 528, 16859, 259, 225, 48, 8981, 35, 3737, 7507, 503, 24842, 21754, 8810, 48, 624, 17855, 41, 570, 49, 43, 619, 8337, 225, 55, 681, 13012, 48, 7507, 1834, 8671, 55, 427, 17770, 55, 503, 8337, 225, 48, 519, 21321, 37, 7833, 6401, 13226, 6444, 49, 388, 21877, 28, 7507, 7507, 461, 259, 249, 43, 795, 55, 3737, 681, 8671, 7197, 427, 4262, 233, 795, 4850, 7197, 7688, 49, 427, 22293, 427, 17770, 55, 388, 5982, 624, 11200, 48, 427, 4262, 233, 427, 17770, 48, 1689, 8800, 1689, 130, 234, 54, 8981, 12229, 251, 37, 13226, 43, 7833, 6401, 760, 7659, 7833, 7126, 570, 14276, 8981, 16903, 681, 8671, 7197, 10935, 21321, 37, 427, 22293, 519, 11227, 48, 28, 7833, 6401, 760, 7659, 503, 18603, 624, 130, 234, 1689, 259, 245, 570, 14276, 388, 21877, 427, 22293, 619, 21877, 643, 5419, 8981, 16903, 22839, 4850, 48, 21754, 14276, 37, 24925, 28, 570, 4970, 1362, 14, 18790, 1362, 411, 24650, 68, 4053, 17, 26, 17, 19746, 14, 18790, 1362, 4602, 2876, 14, 11900, 5255, 643, 304, 15773, 14, 11900, 5255, 643, 304, 14, 18790, 1362, 906, 4053, 15, 1668, 15, 19746, 14, 411, 24650, 68, 14, 21350, 903, 18790, 1362, 1905, 2804, 14, 6441, 477, 17557, 873, 2935, 14, 6563, 643, 304, 2799, 6185, 14, 5731, 643, 304, 6563, 15773, 14, 570, 4970, 14313, 570, 4970, 14313, 14, 570, 4970, 14313, 15038, 11706, 14, 570, 4970, 14313, 8846, 18355, 14, 570, 4970, 14313, 570, 4970, 14313, 2471, 7792, 10440, 14, 570, 4970, 14313, 2471, 7792, 10440, 14, 570, 4970, 14313, 3718, 1689, 7456, 87, 14, 570, 4970, 14313, 11900, 5255, 14, 570, 4970, 14313, 3585, 23436, 14, 570, 4970, 14313, 643, 773, 8476, 14, 1250, 3268, 1222, 18790, 1362, 14, 7688, 14892, 7197, 1689, 22293, 10260, 8784, 570, 4970, 1362, 7367, 820, 14, 18790, 1362, 14, 570, 4970, 1362, 14, 570, 4970, 1362, 1587, 1618, 298, 2123, 2602, 10206, 651, 14, 1618, 298, 2123, 26, 14, 18790, 1362, 873, 2602, 14, 18790, 1362, 7367, 820, 1988, 1230, 14, 18790, 1362, 873, 2935, 14, 18790, 1362, 873, 3022, 14, 6328, 427, 1809, 1460, 18790, 1362, 14, 5211, 18790, 1362, 14, 6088, 1036, 2409, 820, 14, 18790, 1362, 5394, 2706, 14, 1222, 18790, 1362, 14, 18790, 1362, 5394, 276, 315, 14, 18790, 1362, 1988, 1230, 14, 1222, 18790, 1362, 14, 18790, 1362, 10153, 263, 1361, 69, 14, 6152, 363, 18790, 1362, 223, 9025, 14, 18790, 1362, 873, 2602, 16, 570, 4970, 1362, 4845, 18790, 1362, 411, 745, 651, 4602, 7669, 4845, 18790, 1362, 1988, 1230, 4845, 18790, 1362, 790, 2013, 18790, 1362, 18790, 1362, 790, 2013, 18790, 1362, 18790, 1362, 411, 745, 651, 18790, 1362, 18790, 1362, 411, 745, 651, 18790, 1362, 18790, 1362, 411, 745, 651, 4602, 7669, 18790, 1362, 1988, 1230, 411, 24650, 68, 411, 24650, 68, 411, 24650, 68, 411, 24650, 68, 411, 24650, 68, 18790, 1362, 411, 24650, 68, 18790, 1362, 9591, 1839, 7367, 9591, 1362, 9591, 1362, 9591, 1362, 9591, 1362, 18790, 1362, 9591, 1362, 4602, 7669, 18790, 1362, 9591, 1839, 4602, 7669, 18790, 1362, 9591, 1839, 7367, 4602, 7669, 570, 4970, 1362, 9591, 1839, 18790, 1362, 4602, 7669, 18790, 1362, 2179, 1745, 18790, 1362, 10153, 9591, 5721, 1988, 1230, 18790, 1362, 2246, 2024, 790, 2013, 761, 906, 1988, 1230, 16, 10206, 651, 2706, 14, 10206, 651, 3557, 2340, 14, 10206, 651, 5394, 6152, 14, 10206, 651, 790, 1345, 14, 10206, 651, 2303, 14, 10206, 651, 1747, 5084, 14, 10206, 651, 7367, 3946, 14, 10206, 651, 820, 14, 10206, 651, 3010, 2303, 14, 10206, 651, 1814, 19989, 1345, 7367, 14, 10206, 651, 1988, 1230, 16, 22082, 415, 532, 1695, 450, 803, 521, 724, 651, 1357, 1268, 564, 1682, 16, 3895, 532, 1357, 458, 14, 2258, 2328, 2052, 2872, 2614, 7041, 368, 529, 409, 16, 9372, 1305, 2101, 415, 532, 448, 1382, 4208, 352, 946, 1915, 16, 13293, 7367, 820, 342, 2389, 2626, 1608, 2213, 16, 1689, 745, 651, 2302, 1324, 236, 6907, 1970, 515, 4602, 2876, 14, 905, 2196, 2907, 1871, 955, 352, 786, 786, 16, 16402, 6441, 6541, 14, 5632, 86, 10308, 795, 1061, 519, 5124, 16, 2471, 7792, 651, 14, 10206, 651, 1042, 3593, 14, 10206, 651, 3557, 2340, 14, 10206, 651, 18556, 14, 10206, 651, 10153, 9591, 5721, 14, 10206, 651, 15522, 14, 10206, 651, 3593, 14, 10206, 651, 7367, 820, 14, 10206, 651, 1039, 906, 14, 10206, 651, 790, 1345, 14, 10206, 651, 1988, 1230, 14, 10206, 651, 271, 68, 14, 10206, 651, 2706, 1587, 10206, 651, 790, 368, 2589, 1036, 9175, 6777, 16, 2471, 7792, 651, 9591, 1839, 14, 10206, 651, 5394, 2706, 14, 10206, 651, 1781, 1713, 14, 10206, 651, 4602, 7669, 14, 1839, 1983, 10206, 651, 2303, 14, 10206, 651, 3557, 2340, 14, 10206, 651, 1042, 3593, 1988, 1230, 14, 1345, 7367, 10206, 651, 1988, 1230, 14, 570, 4970, 14313, 2471, 7792, 10440, 14, 570, 4970, 14313, 14, 570, 4970, 14313, 570, 4970, 14313, 20405, 23319, 14, 570, 4970, 14313, 20405, 23319, 14, 570, 4970, 14313, 20405, 23319, 14, 570, 4970, 14313, 1689, 745, 10440, 14, 570, 4970, 14313, 643, 304, 15773, 14, 570, 4970, 14313, 14, 570, 4970, 14313, 14, 18790, 263, 616, 4602, 7669, 14, 18790, 263, 616, 10153, 9591, 5721, 14, 18790, 263, 616, 271, 68, 14, 18790, 263, 616, 1036, 86, 4692, 1787, 2828, 14, 18790, 1362, 1146, 2828, 1587, 18790, 1362, 1997, 2602, 14, 18790, 1362, 7367, 820, 14, 18790, 1362, 873, 3022, 14, 18790, 1362, 411, 24650, 68, 14, 18790, 1362, 14, 18790, 1362, 7367, 4602, 7669, 14, 18790, 1362, 411, 24650, 68, 14, 18790, 1362, 7367, 820, 14, 18790, 1362, 7367, 820, 14, 18790, 1362, 411, 24650, 68, 14, 18790, 1362, 7367, 820, 1444, 2880, 1587, 18790, 1362, 7044, 1839, 2706, 14, 18790, 1362, 2706, 14, 18790, 1362, 9591, 1839, 14, 18790, 1362, 1444, 2880, 14, 18790, 1362, 352, 10206, 651, 14, 18790, 263, 616, 1522, 441, 978, 14, 18790, 263, 616, 5394, 2706, 14, 18790 ]
[ 1, 1598, 2361, 940, 728, 368, 10119, 2179, 3237, 454, 1509, 1915, 7014, 7369, 4516, 632, 1165, 1345, 342, 920, 1559, 1357, 2469, 368, 7014, 7369, 4516, 632, 1165, 1345, 16, 12007, 2266, 14, 18283, 7369, 4516, 1050, 1815, 1165, 1345, 482, 1015, 28, 923, 4250, 1443, 1165, 1345, 1815, 342, 790, 1443, 985, 888, 1165, 571, 1345, 457, 61, 19, 63, 29, 923, 8744, 1165, 342, 703, 1345, 4663, 790, 1443, 16, 5345, 1165, 3378, 572, 1520, 2361, 1479, 1391, 803, 2620, 1198, 790, 1443, 922, 16, 4059, 342, 1165, 1345, 457, 61, 20, 11059, 4967, 342, 397, 454, 1050, 1815, 2088, 3224, 352, 2424, 1645, 761, 632, 1165, 1345, 489, 1419, 920, 397, 2129, 644, 790, 1474, 16, 15543, 1815, 490, 1502, 529, 445, 2174, 1745, 2088, 646, 728, 1745, 2071, 2129, 644, 1165, 1345, 489, 1637, 3712, 1165, 1345, 14, 2461, 4220, 1716, 1781, 1165, 1345, 14, 1509, 1915, 1706, 1165, 14, 1509, 1915, 1964, 1165, 571, 4705, 16, 5406, 1071, 7014, 7369, 4516, 14, 1165, 1345, 342, 1222, 1474, 3367, 12747, 368, 888, 1165, 14, 342, 1222, 1474, 14, 2105, 1840, 14, 1443, 2196, 14, 8377, 2205, 368, 724, 436, 16, 7014, 7369, 4516, 2184, 28, 923, 10352, 1345, 342, 3367, 12747, 761, 368, 888, 1165, 457, 61, 21, 11059, 5442, 7014, 7369, 4516, 14, 1165, 1345, 370, 837, 1371, 2712, 1576, 489, 1079, 985, 14, 993, 940, 1165, 1345, 342, 814, 2511, 564, 370, 1079, 985, 16, 8238, 814, 490, 14, 7014, 7369, 4516, 2184, 28, 923, 11428, 1501, 1443, 1079, 985, 1165, 1345, 450, 888, 1165, 28, 1079, 985, 3162, 2476, 14, 1079, 985, 1512, 1248, 14, 1079, 985, 1514, 1611, 14, 1079, 985, 607, 640, 454, 955, 14, 1079, 985, 1512, 6408, 16, 16492, 2129, 644, 1287, 5277, 352, 415, 2129, 644, 2632, 3289, 4839, 1351, 1869, 572, 457, 61, 22, 63, 29, 923, 18510, 644, 445, 342, 2129, 644, 1165, 1345, 14, 1509, 1915, 589, 442, 1079, 985, 16, 8078, 985, 342, 660, 734, 33, 9365, 489, 1298, 1540, 820, 14, 1298, 436, 1079, 985, 4697, 4494, 1233, 2302, 368, 803, 14, 4925, 1459, 1187, 572, 2729, 1170, 16, 5089, 649, 342, 397, 1443, 2196, 657, 649, 342, 397, 1815, 1261, 368, 1298, 436, 457, 61, 23, 17243, 923, 19400, 1198, 1165, 1345, 342, 564, 571, 450, 1165, 1254, 649, 442, 2526, 1443, 1165, 1345, 1079, 985, 457, 61, 24, 11059, 7014, 7369, 4516, 450, 768, 14, 993, 940, 1165, 1345, 342, 814, 2511, 564, 1153, 3957, 1419, 2259, 3010, 368, 888, 1165, 14, 1165, 1345, 342, 934, 1534, 564, 1153, 1719, 2358, 1300, 16, 8238, 814, 490, 14, 7014, 7369, 4516, 2184, 28, 923, 10352, 1345, 14, 1788, 2302, 14, 20263, 18770, 14, 1522, 814, 509, 837, 1371, 489, 1403, 16, 2899, 1165, 1345, 1005, 571, 450, 9555, 1358, 352, 4101, 529, 820, 572, 1788, 2302, 16, 4588, 1788, 2302, 509, 442, 10262, 10186, 14, 823, 521, 436, 509, 2367, 1721, 20263, 18770, 14, 352, 436, 728, 649, 901, 1071, 16, 3342, 454, 656, 1703, 1721, 1788, 2302, 352, 20263, 18770, 571, 738, 823, 521, 11142, 1582, 274, 913, 17636, 14, 649, 1079, 4055, 4628, 442, 797, 457, 61, 25, 63, 29, 923, 2874, 993, 940, 1182, 2460, 1261, 920, 2108, 14, 3623, 955, 445, 589, 1153, 1719, 1443, 1165, 1345, 352, 1244, 1938, 790, 1474, 368, 1185, 1165, 14, 564, 1153, 3957, 1419, 2259, 3010, 352, 2111, 1788, 1482, 368, 888, 1165, 14, 571, 450, 1298, 436, 692, 1165, 1621, 1330, 993, 646, 1747, 903, 2661, 1170, 692, 738, 368, 3623, 955, 14, 572, 2111, 2559, 2543, 1345, 1815, 2358, 1300, 352, 2429, 1806, 993, 940, 1389, 761, 955, 786, 457, 61, 26, 17243, 923, 1467, 1153, 3957, 1165, 1345, 615, 1431, 644, 823, 1005, 934, 1121, 442, 1319, 567, 1534, 1460, 368, 888, 1165, 1599, 920, 2108, 2103, 1091, 457, 61, 27, 11059, 7014, 7369, 4516, 450, 768, 14, 1165, 1345, 551, 1621, 1330, 377, 589, 342, 1239, 1387, 14, 377, 589, 342, 1165, 1345, 450, 6353, 651, 1134, 450, 1882, 651, 14, 657, 342, 1165, 1345, 450, 1185, 1165, 14, 2717, 1165, 1345, 509, 3618, 640, 1443, 2196, 450, 1185, 1165, 14, 1579, 377, 589, 733, 450, 397, 1358, 2174, 888, 1165, 734, 16, 8238, 814, 490, 14, 7014, 7369, 4516, 2184, 28, 923, 9348, 445, 342, 955, 1165, 1345, 16, 15064, 3443, 2196, 2907, 1286, 905, 1165, 16, 15064, 3443, 1443, 2266, 1286, 905, 1165, 16, 3168, 738, 1376, 1005, 14, 2559, 2543, 342, 3134, 2460, 368, 1165, 16, 6575, 1678, 7019, 1397, 2302, 1351, 342, 692, 738, 368, 1165, 16, 3718, 1443, 637, 2358, 615, 3718, 2130, 1212, 6891, 985, 1165, 2732, 572, 16, 14585, 479, 637, 1781, 6891, 615, 2358, 985, 1165, 1514, 1611, 1119, 16, 7846, 10120, 640, 14, 1443, 1198, 352, 1534, 1460, 1286, 551, 1503, 1165, 457, 61, 642, 11059, 18283, 7369, 4516, 1821, 6685, 837, 1371, 1165, 1567, 790, 2130, 489, 837, 1371, 1345, 1567, 3515, 16, 3356, 2184, 28, 923, 4250, 2130, 4331, 10749, 5347, 1345, 342, 635, 33, 5828, 265, 420, 3515, 2836, 368, 1165, 14, 637, 4284, 4150, 1185, 1351, 615, 6581, 16, 5347, 342, 1345, 823, 3718, 2130, 589, 342, 265, 420, 3515, 16, 5400, 738, 906, 1230, 377, 589, 342, 564, 7506, 837, 14, 1153, 1556, 16, 3895, 3718, 2130, 571, 3177, 1165, 823, 1165, 370, 1443, 4593, 3718, 2130, 457, 61, 1274, 11059, 8654, 1821, 6685, 837, 1371, 1165, 1567, 790, 2130, 489, 837, 1371, 1345, 1567, 3515, 2362, 4591, 1239, 1562, 14, 2424, 1645, 14, 884, 649, 879, 3370, 3237, 16, 11585, 905, 14, 454, 2129, 644, 1165, 1345, 14, 1298, 804, 1121, 790, 2130, 14, 79, 1356, 888, 1121, 786, 955, 14, 2252, 567, 2461, 1839, 1351, 903, 14, 1286, 342, 265, 420, 3515, 368, 1165, 14, 1579, 377, 589, 342, 1345, 368, 1165, 16, 9422, 1371, 1165, 1567, 786, 955, 454, 2129, 644, 1165, 1345, 5162, 489, 837, 1371, 1165, 1567, 786, 955, 454, 2129, 644, 1724, 1345, 16, 5145, 454, 2129, 644, 1724, 1345, 14, 1165, 377, 342, 1345, 368, 4622, 14, 657, 342, 3515, 368, 4622, 29, 4622, 342, 1345, 368, 1165, 14, 1579 ]
[ 1, 713, 766, 833, 582, 1086, 4275, 1742, 1502, 1079, 1153, 1719, 1248, 1706, 352, 415, 2515, 1270, 14, 442, 2019, 615, 797, 748, 2397, 1584, 1601, 266, 15812, 15, 74, 22971, 16, 5761, 823, 846, 860, 266, 15812, 15, 74, 22971, 640, 370, 2111, 4427, 1199, 482, 660, 14, 615, 2356, 1755, 482, 1316, 1642, 1254, 454, 1973, 649, 2960, 2114, 761, 2190, 1522, 4147, 33, 1592, 900, 803, 1119, 10547, 1035, 1248, 2116, 368, 266, 15812, 15, 74, 22971, 397, 2315, 16, 3895, 2941, 3034, 615, 4311, 1053, 14, 266, 15812, 15, 74, 22971, 879, 1755, 489, 285, 3074, 15, 85, 15870, 14, 370, 1815, 342, 458, 442, 352, 589, 442, 2184, 572, 3118, 450, 651, 3624, 436, 2960, 16, 427, 3526, 23772, 748, 1201, 14, 521, 4147, 1742, 266, 15812, 15, 74, 22971, 3477, 846, 3524, 740, 415, 2179, 1419, 2358, 1300, 14, 657, 2179, 1419, 2358, 1300, 342, 521, 635, 409, 448, 820, 2873, 28, 342, 358, 2920, 8332, 14, 342, 5069, 2215, 14, 342, 285, 3074, 15, 85, 15870, 16, 6701, 415, 786, 1742, 5394, 917, 6910, 6556, 615, 521, 2085, 1883, 1919, 2026, 8705, 2649, 1210, 1364, 14, 637, 2001, 2664, 692, 2569, 450, 615, 9862, 1742, 903, 2225, 14, 637, 4031, 4147, 1742, 1005, 4897, 1748, 414, 615, 22521, 1742, 3910, 2130, 10075, 14, 1298, 1613, 1298, 1503, 14, 879, 2424, 564, 1100, 572, 397, 4147, 1742, 266, 15812, 15, 74, 22971, 16, 2978, 442, 5069, 2215, 879, 358, 1532, 358, 330, 657, 1882, 1459, 342, 1071, 521, 920, 454, 3795, 4272, 785, 409, 6810, 551, 740, 16, 3342, 529, 442, 5069, 2215, 14, 442, 21506, 16893, 1838, 637, 975, 1584, 4147, 1742, 16, 3080, 1637, 2565, 266, 15812, 15, 74, 22971, 377, 14011, 4321, 11569, 2247, 1233, 1050, 368, 803, 637, 1672, 23719, 489, 521, 975, 1584, 879, 4261, 1814, 2561, 1259, 665, 1383, 1170, 368, 436, 2960, 28, 521, 637, 482, 923, 7920, 4591, 3830, 923, 21715, 2005, 3830, 923, 2049, 3219, 1434, 3830, 923, 86, 1013, 5070, 3830, 223, 923, 14852, 645, 482, 1689, 3830, 923, 7920, 482, 1834, 3830, 923, 85, 3035, 482, 3437, 3830, 1124, 10483, 8139, 415, 1391, 1742, 16, 643, 2525, 13948, 833, 14, 10458, 11670, 10694, 368, 529, 445, 720, 3544, 1357, 500, 22790, 4133, 14, 2086, 1239, 1781, 2636, 665, 724, 1553, 415, 1637, 2565, 448, 14394, 2986, 16, 5761, 342, 1838, 637, 656, 1287, 757, 14, 415, 4147, 1742, 266, 15812, 15, 74, 22971, 448, 833, 2246, 3368, 529, 445, 1579, 2035, 589, 342, 529, 445, 2246, 3368, 1298, 1057, 482, 1840, 820, 368, 529, 16, 2073, 4503, 640, 551, 509, 14, 415, 4147, 1742, 266, 15812, 15, 74, 22971, 5917, 1134, 436, 445, 489, 975, 10918, 1608, 2184, 860, 450, 975, 635, 649, 1231, 1119, 1949, 11079, 16, 6207, 1482, 572, 646, 1949, 11079, 2565, 1883, 509, 14, 415, 1637, 2565, 266, 15812, 15, 74, 22971, 2970, 6702, 615, 2356, 2158, 1882, 14, 1755, 482, 4769, 3370, 615, 2356, 13263, 12983, 521, 1233, 900, 2836, 1567, 521, 1233, 900, 2026, 1419, 2358, 1300, 657, 1254, 1254, 649, 1768, 14931, 1035, 2114, 761, 397, 1280, 16, 9050, 482, 660, 14, 1308, 738, 2184, 632, 521, 1057, 657, 1254, 649, 900, 615, 14, 521, 814, 1254, 649, 2424, 3540, 3061, 1100, 657, 377, 979, 985, 1250, 14, 415, 4147, 1742, 266, 15812, 15, 74, 22971, 1079, 2019, 803, 804, 2729, 1170, 16, 6701, 3938, 2942, 342, 521, 2729, 1170, 2986, 370, 368, 2358, 1300, 922, 14, 415, 1637, 2565, 377, 5007, 2107, 2917, 4275, 1245, 20025, 1520, 4876, 2449, 343, 590, 343, 767, 1721, 521, 2729, 1170, 728, 1071, 1892, 1608, 2941, 2476, 2569, 18642, 1071, 4236, 511, 2569, 511, 1308, 873, 14, 897, 532, 823, 377, 5007, 798, 4147, 1742, 860, 657, 582, 635, 649, 1949, 16, 5024, 1049, 1915, 2388, 660, 1069, 342, 397, 1371, 17262, 644, 377, 1314, 2086, 2266, 632, 1298, 2380, 14, 532, 14, 415, 532, 368, 532, 14, 415, 2592, 2565, 1053, 1637, 2565, 342, 521, 1582, 2013, 1050, 740, 1371, 17262, 644, 509, 16, 11873, 1831, 3477, 846, 397, 1553, 3872, 1599, 1637, 2565, 615, 532, 352, 1831, 370, 397, 1391, 15667, 442, 1482, 572, 2071, 1637, 2565, 352, 415, 2592, 2565, 16, 8594, 920, 2196, 953, 521, 10119, 1854, 1211, 2071, 415, 2592, 2565, 14, 1637, 2565, 266, 15812, 15, 74, 22971, 906, 2367, 2107, 2917, 1391, 15667, 3303, 833, 368, 803, 16, 3184, 656, 448, 720, 4427, 665, 975, 1391, 15667, 922, 14, 532, 1847, 2052, 657, 377, 798, 1124, 660, 1069, 15667, 454, 656, 993, 1200, 640, 17596, 1239, 8312, 3192, 748, 797, 16, 7091, 1955, 490, 290, 1220, 4256, 965, 86, 15122, 1756, 1194, 2593, 24334, 551, 2397, 11673, 21323, 16, 6207, 4843, 1153, 940, 572, 660, 1069, 837, 368, 2469, 532, 448, 720, 975, 2836, 571, 10678, 271, 14909, 14, 409, 450, 768, 397, 1261, 3824, 2653, 3657, 5229, 2026, 1584, 519, 11227, 48, 16, 2798, 572, 1902, 1198, 2480, 266, 15812, 15, 74, 22971, 14, 2114, 761, 572, 342, 1902, 975, 1391, 15667, 532, 766, 1183, 342, 738, 571, 979, 1576, 16, 5250, 656, 551, 2416, 1525, 454, 397, 1095, 1314, 2449, 14, 975, 1424, 637, 2416, 1525, 1639, 5308, 500, 571, 532, 450, 2744, 1767, 1224, 16, 4293, 500, 1100, 572, 637, 2630, 4009, 14, 624, 451, 6954, 6768, 5647, 377, 479, 798, 2088, 442, 482, 436, 445, 1768, 4657, 17024, 6753, 14, 1181, 6152, 1431, 3700, 75, 18356, 75, 368, 266, 15812, 15, 74, 22971, 619, 872, 888, 1383, 733, 342, 975, 6457, 2066, 1012, 19456, 16, 795, 7316, 5564, 2272, 20392, 897, 1919, 748, 14, 814, 1949, 11079, 761, 703, 1768, 582, 370, 2230, 342, 923, 6381, 479, 1479, 1376, 3636, 644, 368, 436, 728, 656, 1479, 1376, 646, 1157, 2637, 368, 445, 489, 534, 1979, 16402, 521, 1637, 2565, 1015, 703, 640, 12395, 665, 1756, 582, 509, 657, 1323, 2019, 572, 4418, 7780, 397, 1756, 1194, 266, 15812, 15, 74, 22971, 16, 3393, 1756, 1194, 1323, 2019, 490, 370, 479, 2252, 572, 17581, 1774, 2069, 1222, 1210, 3443, 33, 482, 342, 397, 4272, 785, 6937, 1239, 28, 1637, 2565, 1755, 482 ]
[ 1, 12504, 2050, 1482, 263, 88, 2561, 3462, 740, 3839, 14961, 312, 16629, 276, 80, 16, 427, 88, 2561, 3462, 368, 3839, 14961, 312, 16629, 16, 18141, 489, 1576, 1953, 5766, 2388, 352, 2592, 7873, 16, 3080, 3900, 263, 88, 15522, 1005, 1483, 1983, 442, 2873, 3416, 16, 4293, 370, 479, 17543, 352, 3786, 263, 88, 2561, 3462, 3557, 2340, 489, 1444, 3162, 3075, 28, 624, 13012, 54, 461, 6401, 1567, 388, 20907, 3737, 611, 7197, 1567, 10935, 15547, 54, 519, 6444, 48, 1567, 528, 4850, 48, 21754, 14276, 37, 704, 6759, 43, 5094, 16, 15824, 2050, 920, 2184, 427, 56, 15522, 2706, 5605, 946, 702, 888, 8616, 1110, 946, 702, 888, 1210, 2341, 415, 1110, 946, 482, 534, 1584, 14, 906, 1379, 695, 1244, 14, 651, 1783, 2533, 14, 5263, 7737, 16, 2073, 1119, 28, 6207, 1110, 946, 377, 790, 2013, 1134, 1148, 953, 5263, 377, 3615, 6319, 482, 10381, 74, 765, 90, 560, 14455, 7737, 16, 13196, 1840, 5521, 1678, 13196, 1840, 5521, 1678, 442, 3253, 342, 397, 454, 521, 5537, 2105, 837, 1388, 368, 427, 56, 16, 2073, 1119, 28, 16123, 2449, 4275, 6725, 12642, 14, 1599, 572, 1050, 2380, 5521, 1678, 2088, 3224, 14, 370, 479, 377, 2088, 3224, 804, 2105, 1840, 4555, 2266, 352, 2105, 1840, 2449, 2266, 16, 23553, 860, 8179, 2105, 1840, 5521, 1678, 368, 436, 728, 571, 2105, 1840, 368, 532, 16, 14921, 644, 901, 1540, 388, 2338, 5776, 4555, 10718, 1302, 1334, 901, 1716, 14, 532, 733, 1119, 1599, 665, 15772, 1095, 1314, 14, 1053, 489, 1245, 532, 448, 1071, 901, 16, 3751, 2056, 571, 738, 2899, 479, 582, 782, 342, 1459, 837, 1388, 761, 368, 427, 56, 14, 564, 1482, 397, 263, 88, 15522, 5766, 2388, 532, 1119, 1334, 4697, 397, 920, 2764, 901, 352, 979, 2752, 1233, 521, 814, 1015, 28, 2073, 6451, 3739, 692, 738, 16, 692, 738, 4555, 2266, 7874, 4074, 2449, 2266, 377, 2174, 2781, 1071, 4275, 1095, 1314, 2073, 1869, 1441, 2056, 571, 738, 3848, 1268, 489, 1434, 1858, 532, 766, 1833, 5940, 16, 3393, 1245, 1268, 532, 342, 1244, 1121, 1005, 572, 1245, 1327, 370, 797, 1441, 2056, 14, 532, 370, 479, 6451, 3739, 397, 651, 1938, 934, 3009, 3813, 657, 532, 448, 1747, 903, 14, 415, 1611, 1261, 448, 3085, 2460, 1134, 397, 651, 804, 2259, 702, 888, 657, 532, 2952, 442, 16, 4588, 2515, 1270, 532, 370, 21649, 2515, 1265, 1362, 368, 786, 5940, 953, 1110, 1035, 946, 5940, 953, 14, 1015, 509, 16576, 648, 8174, 1599, 521, 2515, 1270, 1015, 450, 3848, 1268, 489, 1434, 1858, 1833, 5940, 16, 8654, 2184, 427, 56, 15522, 2706, 649, 342, 397, 454, 521, 2654, 977, 1482, 1119, 1441, 2056, 2184, 427, 56, 15522, 2399, 786, 5940, 953, 11394, 302, 1343, 1838, 637, 975, 1424, 757, 1510, 14, 5782, 1257, 564, 1482, 442, 397, 427, 56, 15522, 5766, 2388, 823, 532, 649, 979, 589, 4663, 16, 3184, 651, 1441, 2056, 2184, 427, 56, 15522, 3522, 2324, 1722, 1185, 786, 5940, 953, 16, 3751, 2056, 1482, 427, 56, 15522, 1567, 4588, 814, 532, 979, 2752, 1233, 13890, 1157, 377, 4436, 2100, 790, 4074, 643, 3020, 790, 4074, 1181, 3075, 1608, 342, 814, 2158, 15486, 14, 786, 5940, 953, 500, 1814, 1222, 532, 342, 436, 3182, 3615, 6319, 454, 692, 738, 14, 905, 932, 1015, 656, 1482, 3900, 427, 56, 15522, 14, 532, 1119, 2246, 2024, 2515, 640, 1134, 786, 436, 728, 2246, 2024, 14, 3931, 4436, 2100, 790, 4074, 16, 15543, 3485, 18924, 2883, 377, 761, 4713, 3184, 814, 979, 2752, 1233, 656, 532, 1482, 427, 56, 2561, 3462, 342, 1050, 3485, 18924, 2883, 377, 761, 4713, 14, 1050, 3485, 18924, 2883, 377, 761, 4713, 500, 2399, 427, 56, 368, 532, 720, 637, 5161, 1838, 846, 3099, 3174, 16, 3184, 651, 3900, 2126, 3353, 352, 2424, 2960, 532, 370, 479, 1148, 953, 482, 12339, 3463, 9955, 418, 14, 3658, 7020, 1124, 503, 2861, 3898, 2654, 1170, 2334, 1302, 266, 767, 683, 97, 4293, 1119, 2245, 768, 427, 56, 368, 532, 377, 589, 342, 1248, 293, 2390, 657, 532, 833, 6184, 1119, 377, 860, 567, 16, 5323, 1322, 532, 377, 1079, 946, 665, 2294, 1270, 6201, 8825, 368, 803, 14, 920, 1182, 761, 342, 1148, 953, 415, 692, 2541, 2184, 427, 56, 2561, 3462, 352, 415, 1672, 2161, 1482, 427, 56, 2561, 3462, 3557, 2340, 29, 4588, 1672, 2161, 490, 500, 1502, 532, 370, 397, 3900, 427, 56, 15522, 5766, 2388, 16, 6813, 8587, 1482, 263, 88, 15522, 3557, 2340, 13927, 953, 415, 10387, 1482, 427, 56, 15522, 3557, 2340, 342, 920, 1268, 1170, 761, 14, 223, 18613, 1582, 656, 532, 1482, 427, 56, 15522, 3080, 3900, 263, 88, 15522, 3085, 1326, 1419, 2582, 1678, 16011, 2054, 1833, 1121, 2872, 427, 56, 15522, 2561, 1259, 740, 1672, 1502, 427, 56, 1259, 4629, 786, 5940, 953, 14, 637, 509, 8964, 1233, 450, 532, 3848, 1268, 738, 571, 16, 15543, 3485, 3900, 427, 56, 1502, 532, 2752, 2397, 3485, 9446, 564, 427, 56, 368, 532, 1231, 1119, 2582, 1678, 748, 454, 2235, 786, 5940, 953, 16, 5199, 1257, 14, 377, 589, 1672, 2161, 734, 649, 450, 2125, 532, 1482, 263, 88, 2561, 3462, 3557, 2340, 657, 1269, 3085, 1326, 1419, 2582, 1678, 16, 9432, 1597, 1245, 940, 1230, 733, 370, 2506, 761, 10387, 3839, 14961, 312, 16629, 16, 18141, 2733, 2054, 5447, 1244, 1482, 263, 88, 2561, 3462, 2126, 3353, 489, 1444, 1057, 1667, 482, 1482, 263, 88, 2561, 3462, 1667, 1477, 14, 1621, 14, 3999, 14, 1212, 14, 1124, 11443, 572, 14, 10387, 897, 370, 415, 4208, 564, 415, 532, 1148, 953, 16, 2380, 2050, 1482, 263, 88, 2561, 3462, 14, 415, 3900, 263, 88, 1071, 3586, 5521, 16, 503, 260, 106, 55, 427, 56, 1689, 6226, 624, 13012, 37, 28, 4797, 69, 88, 463, 7867, 4797, 69, 88, 4797, 69, 88, 12807, 14961, 312, 4797, 3839, 14961, 312, 16629, 18141, 5643, 19741, 19741, 19741, 19741, 19741, 19741, 19741, 19741, 9781, 436, 1977, 2139, 1563, 2872, 2614, 7041, 564, 2873, 3416, 3103, 1110, 946, 738, 571, 2822, 2907, 28, 5605, 946, 1483, 1371, 28, 3168, 1832, 11220, 1459, 5731, 3361, 20067, 4127, 624, 50, 19, 28, 388, 4243, 1421, 14, 519, 759 ]
[ 1, 5, 20053, 1491, 65, 54, 4121, 65, 54, 4121, 65, 20302, 7867, 65, 37, 4121, 4366, 65, 6267, 1800, 23214, 5902, 5044, 1571, 901, 5388, 254, 4622, 23379, 3462, 1280, 1057, 1800, 5709, 448, 1153, 1719, 1502, 532, 2424, 3540, 1259, 4629, 1110, 946, 352, 2302, 1324, 236, 6907, 6499, 578, 377, 1069, 2266, 16, 5199, 1257, 14, 1037, 1460, 2283, 1550, 6910, 6556, 509, 14, 738, 1187, 572, 397, 1892, 1608, 6392, 4214, 6160, 4622, 1949, 11079, 352, 1883, 1735, 377, 1722, 1185, 2424, 3540, 16, 4293, 766, 1036, 468, 592, 468, 377, 691, 1303, 342, 1892, 1608, 1716, 4214, 6160, 4622, 2158, 4875, 33, 4293, 766, 285, 1043, 24926, 377, 691, 1303, 342, 2302, 1324, 236, 6907, 6499, 578, 790, 2013, 352, 1400, 4006, 33, 4293, 1036, 3755, 377, 691, 571, 660, 734, 564, 3271, 2245, 1675, 415, 2302, 1324, 236, 6907, 6499, 578, 1154, 1248, 33, 15450, 442, 521, 285, 1043, 24926, 509, 14, 681, 54, 48, 48, 6665, 20997, 19840, 448, 2970, 5902, 3813, 901, 6160, 4622, 15522, 1280, 1057, 1800, 16, 7385, 748, 1421, 695, 5902, 3659, 14, 448, 2107, 2277, 3813, 14, 1857, 3813, 748, 6914, 901, 1121, 14, 5211, 448, 15893, 1306, 442, 450, 803, 16, 2586, 1334, 5902, 3659, 2012, 1248, 14, 2706, 9705, 14, 1502, 901, 1121, 2424, 3540, 1259, 4629, 2302, 1324, 236, 6907, 6499, 578, 1071, 4238, 1334, 637, 1154, 1248, 615, 4576, 1431, 14, 637, 1170, 3522, 615, 993, 1198, 14, 2807, 2183, 567, 1146, 2906, 3438, 2970, 1105, 14, 1781, 1105, 352, 1306, 2866, 16, 7385, 2334, 901, 1857, 2494, 873, 3354, 1170, 3522, 14, 397, 3354, 993, 1198, 14, 454, 1787, 1379, 1502, 901, 1121, 370, 1154, 1300, 993, 1198, 2012, 1248, 1838, 14, 2424, 3540, 3271, 2245, 2302, 1324, 236, 6907, 6499, 578, 656, 4214, 820, 656, 901, 1053, 415, 1431, 1839, 14, 1431, 1839, 2579, 1667, 16, 681, 563, 3525, 1351, 903, 16, 11443, 572, 14, 454, 3813, 901, 1831, 370, 415, 1559, 2429, 564, 901, 1121, 1941, 2752, 14, 4576, 1431, 1563, 5521, 16, 5343, 3438, 3813, 901, 223, 1835, 102, 223, 12044, 240, 3080, 3898, 20066, 1154, 1248, 14, 766, 10768, 1198, 28, 1781, 9429, 2766, 5843, 1037, 2341, 18050, 4239, 352, 3539, 1302, 797, 1622, 1703, 14, 9429, 1376, 1622, 14, 11051, 1397, 2307, 352, 4239, 2307, 14, 1843, 1397, 14, 1391, 3452, 2307, 4266, 16, 3342, 2179, 1745, 370, 415, 660, 3452, 3652, 1459, 482, 28, 6282, 14313, 2831, 81, 14, 11706, 1347, 1082, 1689, 267, 14, 13494, 351, 223, 5982, 353, 261, 2831, 81, 14, 7737, 223, 1835, 102, 223, 12044, 240, 8185, 1608, 1100, 3485, 1239, 660, 6160, 14, 415, 1434, 1858, 2616, 1944, 1724, 1154, 1248, 564, 1187, 572, 415, 1582, 2756, 692, 14, 415, 14887, 1387, 14887, 1387, 564, 1708, 12134, 1520, 4875, 660, 352, 2012, 901, 1441, 2056, 637, 18433, 6160, 368, 415, 703, 4622, 1212, 2214, 482, 5771, 4234, 10043, 14, 17509, 14579, 7253, 14, 4492, 2211, 8541, 21556, 14, 7014, 16385, 2214, 14, 276, 16, 88, 7737, 10723, 2866, 2202, 1682, 16, 223, 1835, 102, 223, 12044, 240, 11443, 572, 415, 532, 897, 442, 1860, 1364, 9659, 7508, 5388, 254, 12882, 3590, 1248, 1412, 1419, 638, 69, 722, 3416, 1039, 1379, 2341, 415, 1556, 1550, 1181, 14, 23214, 1105, 14, 1212, 1642, 14, 10723, 2866, 11, 352, 415, 2970, 1105, 1005, 761, 442, 2873, 3416, 1483, 1983, 14, 1655, 564, 1382, 740, 1459, 3963, 4234, 4234, 16864, 22596, 16, 611, 16, 8616, 15876, 9645, 638, 14399, 11, 1060, 16, 4284, 820, 607, 5720, 511, 16, 11757, 4368, 2831, 81, 2429, 489, 4368, 7946, 7572, 638, 19509, 2873, 3416, 521, 1479, 1376, 1005, 761, 6496, 15, 19746, 11, 873, 16, 950, 1405, 9263, 2831, 81, 11539, 12505, 7946, 5173, 1146, 16, 24725, 2831, 81, 1421, 16, 11757, 4368, 9645, 2831, 81, 23511, 11757, 3411, 23748, 1444, 16, 18931, 2831, 81, 950, 426, 1787, 16, 13249, 16188, 2831, 81, 23511, 1212, 2831, 81, 1905, 16, 5720, 5727, 643, 330, 23511, 643, 2571, 2831, 81, 638, 23311, 3416, 2019, 1005, 761, 847, 1952, 11, 1997, 16, 5720, 5345, 4958, 643, 431, 23511, 4368, 427, 562, 638, 23311, 3416, 415, 2019, 1005, 761, 695, 847, 1952, 11, 7522, 16, 3080, 1345, 820, 607, 1015, 511, 16, 6587, 1212, 2831, 81, 2429, 489, 4241, 16864, 8297, 638, 19553, 4241, 388, 1018, 11, 873, 16, 7695, 19356, 2429, 489, 5044, 1423, 7572, 8658, 242, 638, 19553, 8658, 3302, 5173, 3425, 11, 1146, 16, 7695, 19356, 2429, 2831, 81, 1157, 489, 5720, 5345, 4958, 643, 330, 638, 19553, 5720, 14579, 761, 14, 2873, 3416, 415, 4508, 1695, 1005, 761, 11, 1444, 16, 4368, 7946, 7572, 638, 23311, 3416, 415, 1479, 1376, 1005, 761, 11, 4864, 226, 228, 11942, 1389, 9429, 1376, 1622, 489, 4508, 1695, 757, 1510, 342, 950, 1405, 13978, 2831, 81, 4864, 226, 228, 11942, 1389, 1703, 5537, 1781, 1713, 4864, 226, 228, 11942, 1389, 1703, 5537, 1781, 2103, 4368, 7946, 9359, 950, 2263, 1905, 2766, 1347, 558, 8476, 2831, 81, 1182, 1905, 4864, 226, 228, 4368, 7946, 9359, 950, 2263, 1905, 2766, 9645, 19066, 9173, 2831, 81, 1182, 1905, 4864, 226, 228, 4368, 7946, 950, 2263, 1905, 1182, 2766, 9645, 2831, 81, 14, 986, 395, 643, 330, 7572, 5272, 1622, 1182, 1905, 1787, 16, 13494, 351, 223, 5982, 353, 261, 2831, 81, 20180, 7542, 402, 1905, 16, 2471, 892, 16188, 5173, 638, 441, 1098, 3370, 11, 4864, 226, 228, 2471, 892, 16188, 5173, 23511, 950, 1405, 986, 395, 2831, 81, 11757, 4368, 4864, 226, 228, 2471, 892, 16188, 5173, 23511, 950, 1405, 950, 1405, 16, 3585, 6639, 8216, 15625, 22253, 2831, 81, 4864, 226, 228, 9365, 6639, 6563, 19356, 1821, 489, 2831, 81, 9645, 4864, 226, 228, 2471, 892, 16836, 5173, 1821, 489, 1212, 7695, 4864, 226, 228, 2471, 892, 16836, 5173, 1821, 489, 950, 1405, 15625, 2831, 81, 519, 16, 8616, 15876, 9645, 638, 2713, 506, 7014, 11, 3411, 2582, 820, 28, 10542, 7014, 11173, 3585, 511, 16, 6282, 10845, 2831, 81, 873, 16, 519, 1651, 1347, 1082, 1689, 267, 1146, 16, 13494, 351, 223, 5982, 353, 261, 2831, 81, 1421, 16, 2831, 5173, 1347, 558, 15097, 1444, 16 ]
[ 1, 53, 49, 43, 427, 17770, 55, 643, 4229, 519, 14276, 48, 388, 8337, 225, 48, 7833, 16859, 9561, 54, 1689, 53, 14636, 7372, 388, 20907, 48, 519, 14276, 48, 643, 17770, 48, 18693, 104, 388, 5982, 1689, 53, 14636, 1567, 20719, 37, 427, 22293, 519, 11227, 48, 503, 19219, 503, 21321, 48, 22540, 7833, 4850, 7197, 427, 12694, 8981, 49, 3737, 427, 55, 259, 249, 37, 570, 14276, 3737, 3, 11218, 13725, 10206, 651, 28, 17916, 1952, 314, 2602, 1444, 2193, 18790, 1362, 411, 24650, 68, 14, 18790, 1362, 411, 24650, 68, 14, 18790, 1362, 411, 24650, 68, 3357, 14, 18790, 1362, 271, 68, 14, 18790, 1362, 271, 68, 14, 18790, 1362, 271, 68, 14, 18790, 1362, 411, 24650, 68, 276, 315, 14, 18790, 1362, 411, 24650, 68, 1988, 1230, 14, 18790, 1362, 411, 24650, 68, 14, 18790, 1362, 271, 68, 14, 18790, 1362, 411, 24650, 68, 4602, 7669, 14, 18790, 1362, 263, 72, 14, 18790, 1362, 1689, 53, 14636, 14, 18790, 1362, 18608, 3917, 14, 18790, 1362, 18608, 3917, 14, 18790, 1362, 411, 745, 651, 18608, 3917, 14, 18790, 1362, 411, 24650, 68, 18608, 3917, 14, 18790, 1362, 7367, 820, 14, 18790, 1362, 411, 24650, 68, 14, 18790, 1362, 411, 24650, 68, 14, 1689, 259, 245, 570, 14276, 1689, 259, 245, 570, 14276, 14, 2582, 903, 411, 745, 651, 14, 2174, 2259, 1036, 86, 4692, 14, 2174, 2259, 10206, 651, 14, 10206, 651, 2706, 14, 18790, 263, 616, 14, 1036, 4692, 14, 620, 5856, 411, 745, 651, 14, 611, 42, 8659, 14, 620, 5856, 9591, 1839, 14, 1362, 7367, 14, 18790, 1362, 14, 2781, 3614, 18790, 1362, 637, 7367, 3946, 14, 7367, 3946, 14, 18790, 1362, 14, 411, 745, 651, 4602, 7669, 14, 1689, 53, 14636, 14, 1036, 86, 4692, 2706, 14, 2209, 1447, 14, 7367, 2706, 14, 1362, 9591, 1839, 14, 1362, 651, 2706, 14, 651, 2706, 14, 651, 2706, 14, 651, 2706, 1857, 906, 14, 1362, 1181, 14, 1362, 2592, 14, 651, 2706, 14, 733, 511, 651, 14, 1362, 1421, 651, 14, 18790, 1362, 14, 18790, 1362, 14, 3959, 589, 4612, 4897, 567, 786, 1587, 4284, 820, 1362, 1421, 651, 589, 4612, 4897, 6163, 567, 786, 14, 8981, 21321, 37, 11085, 42, 13012, 47, 570, 14276, 14, 7688, 16859, 16903, 10977, 225, 503, 6226, 9237, 14, 427, 4262, 102, 10977, 225, 7688, 19727, 643, 12229, 98, 3737, 14, 570, 49, 11227, 48, 7833, 6444, 49, 14, 1362, 1421, 651, 3310, 695, 14, 1756, 15341, 1421, 651, 589, 4612, 14, 3795, 2012, 3361, 1400, 1801, 14, 3795, 2012, 3361, 2086, 4311, 14, 2056, 651, 14, 1441, 2056, 18790, 1362, 7367, 820, 14, 18790, 1362, 7367, 820, 4602, 7669, 14, 18790, 263, 616, 6777, 14, 18790, 1362, 681, 51, 58, 53, 14636, 1421, 651, 1988, 1230, 14, 1421, 651, 1988, 1230, 14, 1421, 1821, 570, 4970, 14313, 23436, 2876, 23319, 1567, 1689, 259, 245, 570, 14276, 503, 8337, 225, 48, 519, 21321, 37, 16, 18790, 1362, 14, 18790, 1362, 10206, 651, 14, 18790, 1362, 14, 18790, 1362, 411, 24650, 68, 14, 18790, 263, 616, 1036, 14, 1821, 1084, 616, 411, 24650, 68, 14, 570, 49, 43, 427, 17770, 55, 570, 43, 8671, 55, 7688, 55, 260, 104, 48, 4681, 42, 14, 287, 309, 1035, 5604, 1821, 847, 1952, 14, 1689, 4396, 21245, 43, 7028, 1787, 3468, 14, 570, 49, 43, 427, 17770, 55, 643, 4229, 10977, 225, 14, 570, 49, 43, 427, 17770, 55, 643, 4229, 10977, 225, 14, 570, 49, 43, 427, 17770, 55, 643, 4229, 10977, 225, 14, 570, 49, 43, 427, 17770, 55, 16, 570, 49, 43, 427, 17770, 55, 643, 4229, 619, 20350, 14, 427, 17770, 55, 18693, 102, 14, 519, 11227, 6759, 18693, 102, 14, 795, 55, 795, 49, 4456, 681, 7028, 7833, 4850, 7197, 427, 12694, 14, 24236, 111, 619, 49, 5451, 48, 681, 9561, 54, 21754, 6444, 1689, 259, 245, 570, 14276, 14, 1689, 259, 245, 570, 14276, 4681, 42, 14, 519, 11227, 6759, 18693, 102, 643, 4229, 14, 24236, 111, 619, 49, 5451, 48, 681, 9561, 54, 21754, 6444, 619, 260, 117, 37, 519, 13012, 54, 14, 681, 9561, 54, 21754, 6444, 1689, 259, 245, 570, 14276, 14, 519, 11227, 6759, 18693, 102, 643, 4229, 1567, 1689, 259, 245, 570, 14276, 4681, 42, 14, 1689, 259, 245, 570, 14276, 4681, 42, 14, 519, 11227, 6759, 18693, 102, 643, 4229, 570, 43, 8671, 55, 7688, 55, 260, 104, 48, 4681, 42, 570, 49, 43, 20298, 55, 570, 43, 13204, 7688, 55, 4456, 14, 4681, 42, 570, 49, 43, 20298, 55, 388, 6401, 21754, 39, 14, 681, 8794, 1689, 49, 14, 20298, 55, 643, 49, 624, 35, 3737, 10260, 27, 14, 503, 24842, 21754, 8810, 48, 624, 17855, 41, 570, 49, 43, 427, 17770, 55, 570, 43, 8671, 55, 7688, 55, 260, 104, 48, 923, 15294, 2259, 18790, 1362, 14, 803, 1345, 934, 4410, 415, 532, 1747, 5084, 352, 2808, 4925, 1233, 2302, 28, 22974, 2543, 2569, 1211, 1199, 368, 521, 724, 651, 1306, 1362, 16, 5226, 1319, 567, 415, 620, 972, 665, 6533, 14, 1599, 415, 821, 2593, 14, 620, 1884, 14, 415, 532, 615, 15708, 6533, 3645, 3563, 16, 6759, 12314, 3737, 681, 14892, 48, 2258, 2125, 442, 2781, 3614, 1053, 415, 532, 14, 564, 415, 532, 1053, 1747, 5084, 16, 619, 19962, 3737, 681, 5419, 681, 8671, 7197, 564, 1100, 442, 521, 570, 49, 43, 427, 17770, 55, 7688, 14892, 7197, 1689, 22293, 10935, 19727, 16, 352, 4745, 4208, 570, 259, 251, 47, 761, 450, 906, 1988, 1015, 16, 4797, 1970, 2262, 86, 1797, 87, 414, 90, 24650, 68, 3738, 340, 86, 1797, 87, 414, 90, 24650, 68, 24, 2935, 26, 4797, 3798, 1084, 616, 90, 24650, 68, 4797, 4797, 4797, 2005, 22208, 2602, 4797, 79, 560, 22208, 88, 5555, 3798, 1084, 616, 2005, 22208, 88, 5555, 3798, 1084, 616, 4797, 79, 560, 22208, 88, 5555, 3798, 1084, 616, 12243, 1821, 1084, 616, 88, 506, 24, 24758, 4797, 1821, 1084, 616, 88, 506, 24, 24758, 4797, 3798, 1084, 20157, 414, 73, 3487, 4797, 3798, 1084, 616, 88, 506, 4797, 4797, 4797, 411, 745, 651, 411, 22530, 286, 79, 23540, 1821, 1084, 20157, 414, 73, 3487, 4797, 4797, 4797, 4797, 503, 43, 8794, 36 ]
[ 1, 175, 256, 242, 104, 335, 238, 161, 251, 246, 12044, 240, 159, 119, 226, 159, 119, 113, 159, 119, 99, 159, 120, 225, 159, 119, 246, 159, 119, 115, 159, 119, 251, 159, 120, 227, 159, 119, 246, 159, 119, 227, 159, 119, 258, 159, 119, 232, 159, 120, 225, 159, 119, 245, 159, 120, 232, 159, 119, 226, 159, 119, 246, 159, 119, 113, 159, 119, 97, 159, 119, 258, 159, 119, 113, 159, 119, 98, 159, 119, 119, 1567, 223, 159, 119, 103, 159, 119, 115, 159, 119, 249, 159, 119, 116, 159, 119, 106, 159, 119, 112, 159, 119, 232, 159, 120, 225, 159, 119, 226, 159, 119, 246, 159, 120, 225, 159, 119, 245, 159, 120, 232, 159, 119, 226, 159, 119, 248, 159, 119, 116, 159, 120, 233, 159, 119, 97, 159, 119, 116, 159, 119, 250, 159, 120, 234, 159, 119, 114, 159, 119, 107, 159, 119, 250, 159, 119, 112, 159, 119, 226, 159, 119, 250, 159, 120, 234, 159, 119, 258, 159, 119, 98, 223, 159, 119, 227, 159, 119, 113, 159, 119, 245, 159, 119, 106, 159, 119, 113, 159, 119, 99, 159, 119, 258, 159, 119, 113, 159, 119, 107, 159, 119, 113, 159, 119, 99, 223, 159, 120, 226, 159, 119, 101, 159, 119, 111, 159, 120, 226, 159, 119, 229, 159, 119, 99, 159, 119, 111, 159, 120, 226, 159, 119, 226, 159, 119, 99, 159, 119, 250, 159, 119, 258, 159, 119, 98, 159, 120, 233, 159, 119, 113, 159, 119, 232, 159, 119, 247, 159, 119, 120, 159, 119, 226, 159, 119, 246, 159, 120, 234, 159, 119, 258, 159, 119, 232, 33, 223, 159, 119, 258, 159, 119, 98, 159, 120, 233, 159, 119, 113, 159, 119, 101, 159, 119, 118, 159, 119, 97, 159, 119, 229, 159, 119, 101, 159, 119, 115, 159, 119, 226, 159, 119, 101, 159, 119, 232, 159, 119, 248, 159, 119, 111, 159, 120, 225, 159, 119, 251, 159, 119, 116, 159, 119, 98, 159, 119, 250, 159, 119, 235, 159, 120, 233, 159, 119, 258, 159, 119, 232, 4845, 223, 159, 120, 226, 159, 119, 235, 159, 119, 99, 159, 120, 237, 159, 119, 103, 159, 119, 115, 159, 119, 245, 159, 119, 116, 159, 120, 227, 159, 119, 258, 4845, 223, 159, 119, 106, 159, 120, 233, 159, 119, 232, 159, 119, 229, 159, 119, 114, 159, 119, 247, 159, 119, 113, 159, 119, 97, 159, 120, 229, 159, 119, 252, 159, 119, 98, 159, 119, 112, 159, 119, 232, 159, 119, 253, 159, 119, 120, 159, 120, 234, 159, 120, 225, 159, 119, 235, 159, 119, 116, 159, 120, 233, 159, 119, 98, 159, 119, 103, 159, 119, 235, 159, 119, 113, 159, 119, 238, 159, 119, 253, 159, 120, 233, 159, 119, 113, 159, 119, 250, 159, 119, 248, 159, 119, 113, 159, 119, 232, 159, 120, 226, 159, 119, 256, 159, 119, 250, 159, 120, 225, 159, 119, 255, 159, 119, 233, 159, 119, 227, 159, 119, 258, 159, 119, 232, 427, 2355, 17177, 1219, 8678, 7936, 2482, 85, 21940, 17724, 223, 159, 119, 248, 159, 119, 116, 159, 120, 233, 159, 119, 101, 159, 119, 115, 159, 119, 232, 159, 119, 229, 159, 120, 237, 3649, 3, 223, 12044, 240, 223, 159, 119, 101, 159, 119, 115, 159, 119, 232, 159, 119, 229, 159, 120, 237, 2323, 12415, 2065, 2065, 2065, 2065, 2065, 2065, 2065, 1242, 3956, 6912, 3956, 223, 175, 256, 242, 104, 335, 238, 161, 251, 246, 12044, 240, 175, 256, 242, 104, 335, 238, 161, 251, 246, 12044, 240, 223, 159, 119, 229, 159, 119, 119, 159, 119, 244, 159, 120, 226, 159, 119, 97, 159, 120, 233, 159, 119, 253, 159, 120, 234, 159, 119, 113, 159, 119, 258, 159, 120, 234, 159, 119, 258, 159, 119, 97, 159, 120, 228, 159, 119, 107, 159, 120, 234, 159, 119, 99, 159, 119, 113, 159, 119, 232, 159, 119, 103, 159, 119, 112, 159, 119, 101, 159, 119, 101, 159, 119, 120, 159, 119, 226, 159, 119, 245, 159, 120, 234, 159, 119, 103, 159, 119, 98, 159, 119, 97, 159, 119, 113, 159, 119, 246, 159, 119, 99, 159, 119, 241, 159, 119, 113, 159, 119, 250, 159, 119, 250, 159, 120, 234, 159, 119, 114, 159, 119, 107, 159, 119, 250, 159, 119, 112, 159, 119, 226, 159, 120, 225, 159, 119, 255, 159, 119, 118, 159, 120, 233, 159, 119, 258, 159, 119, 252, 159, 119, 99, 159, 119, 111, 159, 120, 225, 159, 119, 97, 159, 119, 115, 159, 119, 250, 159, 119, 226, 159, 119, 113, 159, 119, 99, 159, 120, 225, 159, 119, 233, 159, 119, 99, 159, 119, 115, 159, 119, 238, 159, 120, 225, 159, 119, 246, 159, 119, 115, 159, 119, 251, 159, 120, 227, 159, 119, 246, 159, 119, 227, 159, 119, 258, 159, 119, 232, 159, 119, 101, 159, 119, 120, 159, 119, 226, 223, 159, 119, 226, 159, 119, 113, 159, 119, 99, 159, 120, 225, 159, 119, 107, 159, 120, 232, 159, 119, 250, 159, 120, 225, 159, 119, 245, 159, 120, 232, 159, 119, 226, 159, 119, 97, 159, 119, 116, 159, 119, 250, 159, 120, 234, 159, 119, 114, 159, 119, 107, 159, 119, 250, 159, 119, 112, 159, 119, 226, 159, 119, 250, 159, 120, 234, 159, 119, 258, 159, 119, 98, 159, 119, 97, 159, 119, 112, 159, 119, 226, 159, 119, 99, 159, 119, 120, 159, 120, 234, 159, 119, 106, 159, 119, 117, 159, 119, 226, 159, 119, 226, 159, 119, 112, 159, 119, 232, 159, 119, 103, 159, 119, 101, 223, 159, 119, 233, 159, 119, 114, 159, 120, 225, 159, 119, 252, 159, 120, 232, 159, 119, 250, 159, 119, 246, 159, 120, 234, 159, 119, 258, 159, 119, 232, 159, 119, 252, 159, 119, 99, 159, 119, 111, 159, 120, 225, 159, 119, 97, 159, 119, 115, 159, 119, 250, 159, 119, 106, 159, 119, 247, 159, 119, 113, 159, 119, 250, 159, 119, 111, 159, 119, 226, 159, 119, 113, 159, 119, 99, 159, 120, 225, 159, 119, 233, 159 ]
[ 1, 119, 99, 159, 119, 115, 159, 119, 238, 159, 120, 225, 159, 119, 246, 159, 119, 115, 159, 119, 251, 159, 120, 227, 159, 119, 246, 159, 119, 227, 159, 119, 258, 159, 119, 232, 159, 120, 225, 159, 119, 245, 159, 120, 232, 159, 119, 226, 159, 120, 228, 159, 119, 107, 159, 120, 234, 159, 119, 247, 159, 119, 120, 159, 119, 226, 159, 119, 246, 159, 120, 234, 159, 119, 258, 159, 119, 232, 223, 159, 120, 225, 159, 119, 255, 159, 119, 118, 159, 120, 233, 159, 119, 258, 159, 119, 245, 159, 119, 120, 159, 119, 103, 159, 120, 233, 159, 119, 113, 159, 120, 225, 159, 119, 245, 159, 120, 232, 159, 119, 226, 159, 119, 250, 159, 120, 234, 159, 119, 114, 159, 119, 107, 159, 119, 250, 159, 119, 112, 159, 119, 226, 159, 119, 227, 159, 119, 117, 159, 120, 234, 159, 119, 250, 223, 159, 120, 225, 159, 119, 255, 159, 119, 115, 159, 120, 233, 159, 119, 97, 159, 119, 229, 159, 119, 103, 159, 119, 113, 159, 119, 97, 159, 119, 106, 159, 119, 120, 159, 119, 232, 159, 119, 97, 159, 119, 113, 159, 119, 246, 159, 119, 99, 159, 119, 241, 159, 119, 113, 159, 119, 250, 159, 119, 246, 159, 119, 113, 159, 119, 97, 159, 119, 258, 159, 119, 113, 159, 119, 98, 159, 119, 119, 159, 119, 107, 159, 119, 99, 159, 119, 118, 159, 119, 258, 159, 120, 229, 159, 119, 97, 159, 120, 233, 33, 511, 16, 223, 159, 119, 226, 159, 119, 113, 159, 119, 99, 159, 120, 225, 159, 119, 233, 159, 119, 99, 159, 119, 115, 159, 119, 238, 159, 120, 225, 159, 119, 246, 159, 119, 115, 159, 119, 251, 159, 120, 227, 159, 119, 246, 159, 120, 226, 159, 119, 101, 159, 119, 111, 159, 119, 255, 159, 119, 112, 159, 119, 243, 159, 119, 250, 159, 119, 113, 159, 119, 226, 159, 119, 113, 159, 119, 99, 159, 119, 248, 159, 119, 116, 159, 120, 233, 159, 120, 227, 159, 119, 245, 159, 119, 245, 159, 120, 225, 159, 119, 245, 159, 120, 233, 159, 119, 250, 159, 120, 228, 159, 119, 250, 159, 120, 225, 159, 119, 245, 159, 120, 232, 159, 119, 226, 223, 159, 119, 226, 159, 119, 113, 159, 119, 99, 159, 120, 225, 159, 119, 233, 159, 119, 99, 159, 119, 115, 159, 119, 238, 159, 120, 225, 159, 119, 246, 159, 119, 115, 159, 119, 251, 159, 120, 227, 159, 119, 246, 159, 119, 229, 159, 119, 118, 159, 119, 258, 159, 119, 226, 159, 119, 113, 159, 119, 99, 159, 120, 225, 159, 119, 255, 159, 119, 115, 159, 120, 233, 159, 119, 97, 159, 119, 250, 159, 120, 234, 159, 119, 114, 159, 119, 107, 159, 119, 250, 159, 119, 112, 159, 119, 226, 223, 159, 119, 106, 159, 120, 233, 159, 119, 103, 159, 119, 250, 159, 119, 106, 159, 119, 120, 159, 119, 232, 223, 159, 119, 99, 159, 119, 258, 159, 119, 251, 159, 119, 104, 159, 119, 116, 159, 119, 99, 159, 119, 105, 159, 119, 111, 223, 159, 120, 226, 159, 119, 101, 159, 119, 111, 159, 119, 99, 159, 119, 258, 159, 119, 251, 159, 119, 107, 159, 119, 250, 159, 120, 234, 159, 119, 113, 159, 119, 258, 159, 119, 226, 223, 159, 119, 226, 159, 119, 113, 159, 119, 99, 159, 119, 255, 159, 119, 112, 159, 119, 243, 159, 119, 250, 159, 119, 113, 159, 119, 229, 159, 119, 118, 159, 119, 258, 159, 119, 226, 159, 119, 113, 159, 119, 99, 159, 119, 255, 159, 119, 112, 159, 119, 243, 159, 119, 250, 159, 119, 113, 159, 119, 248, 159, 119, 113, 159, 119, 232, 159, 119, 252, 159, 119, 112, 159, 119, 238, 159, 119, 238, 159, 119, 113, 223, 159, 119, 98, 159, 119, 250, 159, 119, 246, 159, 120, 237, 159, 119, 99, 159, 119, 103, 159, 119, 97, 223, 159, 119, 226, 159, 119, 101, 159, 120, 234, 159, 119, 113, 159, 119, 97, 159, 120, 225, 159, 119, 250, 159, 119, 118, 159, 120, 234, 159, 119, 258, 159, 119, 97, 159, 119, 112, 159, 119, 245, 159, 120, 225, 159, 119, 101, 159, 120, 232, 159, 119, 226, 223, 159, 119, 226, 159, 119, 113, 159, 119, 99, 159, 119, 233, 159, 119, 112, 159, 119, 245, 159, 119, 226, 159, 119, 113, 159, 119, 99, 159, 119, 246, 159, 119, 113, 159, 119, 97, 159, 119, 106, 159, 119, 247, 159, 119, 113, 159, 119, 250, 159, 119, 226, 159, 119, 113, 159, 119, 99, 159, 119, 244, 159, 120, 237, 1124, 873, 16, 223, 159, 119, 246, 159, 119, 112, 159, 119, 103, 159, 119, 251, 159, 120, 233, 159, 119, 232, 159, 119, 235, 159, 119, 116, 159, 120, 234, 159, 119, 226, 159, 119, 113, 159, 119, 99, 159, 120, 225, 159, 119, 246, 159, 119, 115, 159, 119, 251, 159, 120, 227, 159, 119, 246, 223, 159, 119, 226, 11, 223, 159, 119, 250, 159, 120, 234, 159, 119, 114, 159, 119, 107, 159, 119, 250, 159, 119, 112, 159, 119, 226, 223, 159, 119, 227, 11, 223, 159, 119, 99, 159, 119, 258, 159, 119, 251, 159, 119, 104, 159, 119, 116, 159, 119, 99, 159, 119, 105, 159, 119, 111, 223, 159, 119, 229, 11, 223, 159, 119, 106, 159, 120, 233, 159, 119, 103, 159, 119, 250, 159, 119, 106, 159, 119, 120, 159, 119, 232, 223, 159, 119, 232, 11, 223, 159, 119, 99, 159, 119, 258, 159, 119, 251, 159, 119, 107, 159, 119, 250, 159, 120, 234, 159, 119, 113, 159, 119, 258, 159, 119, 226, 223, 175, 256, 242, 104, 335, 238, 161, 251, 246, 12044, 240, 159, 119, 97, 159, 119, 113, 159, 119, 256, 159, 119, 112, 159, 119, 232, 159, 119, 226, 159, 119, 113, 159, 119, 99, 159, 120, 226, 159, 119, 251, 159, 120, 233, 159, 119, 232, 159, 119, 252, 159, 119, 112, 159, 119, 250, 159, 119, 227, 159, 119, 258, 159, 119, 232, 159 ]
[ 1, 53, 49, 43, 427, 17770, 55, 643, 4229, 519, 14276, 48, 388, 8337, 225, 48, 7833, 16859, 9561, 54, 1689, 53, 14636, 7372, 388, 20907, 48, 519, 14276, 48, 643, 17770, 48, 18693, 104, 388, 5982, 1689, 53, 14636, 1567, 20719, 37, 427, 22293, 519, 11227, 48, 503, 19219, 503, 21321, 48, 22540, 7833, 4850, 7197, 427, 12694, 8981, 49, 3737, 427, 55, 259, 249, 37, 570, 14276, 3737, 3, 11218, 13725, 10206, 651, 28, 17916, 1952, 314, 2602, 1444, 2193, 18790, 1362, 411, 24650, 68, 14, 18790, 1362, 411, 24650, 68, 14, 18790, 1362, 411, 24650, 68, 3357, 14, 18790, 1362, 271, 68, 14, 18790, 1362, 271, 68, 14, 18790, 1362, 271, 68, 14, 18790, 1362, 411, 24650, 68, 276, 315, 14, 18790, 1362, 411, 24650, 68, 1988, 1230, 14, 18790, 1362, 411, 24650, 68, 14, 18790, 1362, 271, 68, 14, 18790, 1362, 411, 24650, 68, 4602, 7669, 14, 18790, 1362, 263, 72, 14, 18790, 1362, 1689, 53, 14636, 14, 18790, 1362, 18608, 3917, 14, 18790, 1362, 18608, 3917, 14, 18790, 1362, 411, 745, 651, 18608, 3917, 14, 18790, 1362, 411, 24650, 68, 18608, 3917, 14, 18790, 1362, 7367, 820, 14, 18790, 1362, 411, 24650, 68, 14, 18790, 1362, 411, 24650, 68, 14, 1689, 259, 245, 570, 14276, 1689, 259, 245, 570, 14276, 14, 2582, 903, 411, 745, 651, 14, 2174, 2259, 1036, 86, 4692, 14, 2174, 2259, 10206, 651, 14, 10206, 651, 2706, 14, 18790, 263, 616, 14, 1036, 4692, 14, 620, 5856, 411, 745, 651, 14, 611, 42, 8659, 14, 620, 5856, 9591, 1839, 14, 1362, 7367, 14, 18790, 1362, 14, 2781, 3614, 18790, 1362, 637, 7367, 3946, 14, 7367, 3946, 14, 18790, 1362, 14, 411, 745, 651, 4602, 7669, 14, 1689, 53, 14636, 14, 1036, 86, 4692, 2706, 14, 2209, 1447, 14, 7367, 2706, 14, 1362, 9591, 1839, 14, 1362, 651, 2706, 14, 651, 2706, 14, 651, 2706, 14, 651, 2706, 1857, 906, 14, 1362, 1181, 14, 1362, 2592, 14, 651, 2706, 14, 733, 511, 651, 14, 1362, 1421, 651, 14, 18790, 1362, 14, 18790, 1362, 14, 3959, 589, 4612, 4897, 567, 786, 1587, 4284, 820, 1362, 1421, 651, 589, 4612, 4897, 6163, 567, 786, 14, 8981, 21321, 37, 11085, 42, 13012, 47, 570, 14276, 14, 7688, 16859, 16903, 10977, 225, 503, 6226, 9237, 14, 427, 4262, 102, 10977, 225, 7688, 19727, 643, 12229, 98, 3737, 14, 570, 49, 11227, 48, 7833, 6444, 49, 14, 1362, 1421, 651, 3310, 695, 14, 1756, 15341, 1421, 651, 589, 4612, 14, 3795, 2012, 3361, 1400, 1801, 14, 3795, 2012, 3361, 2086, 4311, 14, 2056, 651, 14, 1441, 2056, 18790, 1362, 7367, 820, 14, 18790, 1362, 7367, 820, 4602, 7669, 14, 18790, 263, 616, 6777, 14, 18790, 1362, 681, 51, 58, 53, 14636, 1421, 651, 1988, 1230, 14, 1421, 651, 1988, 1230, 14, 1421, 1821, 570, 4970, 14313, 23436, 2876, 23319, 1567, 1689, 259, 245, 570, 14276, 503, 8337, 225, 48, 519, 21321, 37, 16, 18790, 1362, 14, 18790, 1362, 10206, 651, 14, 18790, 1362, 14, 18790, 1362, 411, 24650, 68, 14, 18790, 263, 616, 1036, 14, 1821, 1084, 616, 411, 24650, 68, 14, 570, 49, 43, 427, 17770, 55, 570, 43, 8671, 55, 7688, 55, 260, 104, 48, 4681, 42, 14, 287, 309, 1035, 5604, 1821, 847, 1952, 14, 1689, 4396, 21245, 43, 7028, 1787, 3468, 14, 570, 49, 43, 427, 17770, 55, 643, 4229, 10977, 225, 14, 570, 49, 43, 427, 17770, 55, 643, 4229, 10977, 225, 14, 570, 49, 43, 427, 17770, 55, 643, 4229, 10977, 225, 14, 570, 49, 43, 427, 17770, 55, 14, 570, 49, 43, 427, 17770, 55, 16, 570, 49, 43, 427, 17770, 55, 643, 4229, 619, 20350, 14, 427, 17770, 55, 18693, 102, 14, 519, 11227, 6759, 18693, 102, 14, 795, 55, 795, 49, 4456, 681, 7028, 7833, 4850, 7197, 427, 12694, 14, 24236, 111, 619, 49, 5451, 48, 681, 9561, 54, 21754, 6444, 1689, 259, 245, 570, 14276, 14, 1689, 259, 245, 570, 14276, 4681, 42, 14, 519, 11227, 6759, 18693, 102, 643, 4229, 14, 24236, 111, 619, 49, 5451, 48, 681, 9561, 54, 21754, 6444, 619, 260, 117, 37, 519, 13012, 54, 14, 681, 9561, 54, 21754, 6444, 1689, 259, 245, 570, 14276, 14, 519, 11227, 6759, 18693, 102, 643, 4229, 1567, 1689, 259, 245, 570, 14276, 4681, 42, 14, 1689, 259, 245, 570, 14276, 4681, 42, 14, 519, 11227, 6759, 18693, 102, 643, 4229, 570, 43, 8671, 55, 7688, 55, 260, 104, 48, 4681, 42, 570, 49, 43, 20298, 55, 570, 43, 13204, 7688, 55, 4456, 14, 4681, 42, 570, 49, 43, 20298, 55, 388, 6401, 21754, 39, 14, 681, 8794, 1689, 49, 14, 20298, 55, 643, 49, 624, 35, 3737, 10260, 27, 14, 503, 24842, 21754, 8810, 48, 624, 17855, 41, 570, 49, 43, 427, 17770, 55, 570, 43, 8671, 55, 7688, 55, 260, 104, 48, 923, 15294, 2259, 18790, 1362, 14, 803, 1345, 934, 4410, 415, 532, 1747, 5084, 352, 2808, 4925, 1233, 2302, 28, 22974, 2543, 2569, 1211, 1199, 368, 521, 724, 651, 1306, 1362, 16, 5226, 1319, 567, 415, 620, 972, 665, 6533, 14, 1599, 415, 821, 2593, 14, 620, 1884, 14, 415, 532, 615, 15708, 6533, 3645, 3563, 16, 6759, 12314, 3737, 681, 14892, 48, 2258, 2125, 442, 2781, 3614, 1053, 415, 532, 14, 564, 415, 532, 1053, 1747, 5084, 16, 619, 19962, 3737, 681, 5419, 681, 8671, 7197, 564, 1100, 442, 521, 570, 49, 43, 427, 17770, 55, 7688, 14892, 7197, 1689, 22293, 10935, 19727, 16, 352, 4745, 4208, 570, 259, 251, 47, 761, 665, 906, 1988, 1015, 16, 4797, 1970, 2262, 86, 1797, 87, 414, 90, 24650, 68, 305, 2262, 9182, 290, 87, 414, 90, 24650, 68, 24, 2935, 26, 4797, 3798, 1084, 616, 90, 24650, 68, 4797, 4797, 4797, 2005, 22208, 2602, 4797, 79, 560, 22208, 88, 5555, 3798, 1084, 616, 2005, 22208, 88, 5555, 3798, 1084, 616, 4797, 79, 560, 22208, 88, 5555, 3798, 1084, 616, 12243, 1821, 1084, 616, 88, 506, 24, 24758, 4797, 1821, 1084, 616, 88, 506, 24, 24758, 4797, 3798, 1084, 20157, 414, 73, 3487, 4797, 3798, 1084, 616, 88, 506, 4797, 4797, 4797, 411, 745, 651, 411, 22530, 286, 79, 23540, 1821, 1084, 20157, 414, 73, 3487, 4797 ]
[ 1, 61, 24761, 2912, 4298, 3596, 2766, 4788, 1868, 461, 2349, 2482, 85, 8383, 616, 4463, 63, 21031, 3614, 637, 415, 1157, 1637, 1441, 2275, 368, 461, 2349, 2482, 85, 8383, 616, 4463, 4958, 2826, 28, 19763, 7867, 2304, 3437, 13725, 28, 314, 3164, 2385, 2385, 23957, 19933, 2582, 1121, 1509, 1540, 1838, 28, 21416, 2203, 461, 2349, 2482, 85, 8383, 616, 4463, 740, 388, 12872, 28, 846, 643, 3407, 4335, 28, 846, 570, 4700, 81, 28, 740, 570, 10409, 2025, 28, 6813, 8587, 28, 13352, 2912, 4298, 3596, 461, 2349, 2482, 85, 8383, 616, 4463, 5029, 1547, 8959, 651, 511, 1621, 1330, 4797, 48, 2349, 17789, 616, 4463, 4797, 9511, 73, 16366, 4797, 461, 5630, 2726, 616, 4463, 4797, 624, 8684, 87, 414, 279, 506, 15235, 463, 597, 3798, 19, 88, 5124, 6230, 4797, 56, 8684, 87, 414, 279, 506, 3217, 4797, 37, 2995, 78, 483, 16927, 10668, 1924, 442, 2078, 1455, 1541, 7508, 3999, 9674, 8340, 901, 352, 3168, 2284, 1621, 1330, 489, 692, 2284, 290, 9523, 18087, 1244, 901, 12996, 2395, 998, 967, 4987, 16, 6813, 8587, 28, 570, 10409, 2025, 28, 6558, 22863, 28, 1162, 418, 82, 5860, 28, 4898, 28, 15714, 28, 8317, 1797, 3379, 78, 9332, 28, 7833, 4850, 7197, 9318, 17770, 48, 28, 13096, 1121, 461, 5630, 8383, 616, 4463, 1444, 759, 23261, 4780, 28, 5647, 1459, 28, 461, 9523, 302, 78, 2395, 998, 967, 4987, 223, 8228, 1743, 2655, 23261, 5672, 78, 18611, 223, 8228, 2189, 1743, 2655, 23261, 643, 15, 6829, 2343, 2349, 223, 8228, 1124, 223, 2189, 1124, 1743, 2655, 23261, 9128, 13518, 570, 1013, 223, 8228, 1124, 2566, 23261, 9128, 20180, 570, 1013, 223, 8228, 1743, 507, 23261, 9128, 7547, 9845, 223, 8228, 12766, 507, 23261, 461, 9523, 263, 1547, 69, 1992, 298, 223, 8228, 12766, 12766, 474, 23261, 1219, 515, 1512, 4915, 12112, 223, 2189, 1124, 7737, 1743, 642, 23261, 22979, 685, 223, 13896, 1800, 79, 69, 73, 11725, 1550, 28, 760, 878, 998, 298, 14, 2480, 13271, 14, 13271, 445, 78, 69, 14, 271, 2045, 1589, 266, 3559, 654, 998, 14, 2116, 1326, 2661, 638, 39, 14610, 14, 1158, 15277, 11, 427, 12694, 24236, 100, 3737, 368, 1121, 2912, 461, 2349, 2482, 85, 8383, 616, 4463, 28, 16011, 2054, 1703, 644, 12168, 352, 644, 2435, 2775, 450, 3596, 14, 2269, 290, 2884, 293, 1043, 740, 10930, 3596, 16, 21744, 4298, 3596, 14, 2269, 10856, 14, 290, 2023, 14, 5800, 293, 506, 14, 4788, 1868, 3596, 16, 10977, 241, 43, 388, 12229, 98, 3737, 570, 259, 108, 24236, 100, 3737, 461, 2349, 8383, 616, 4463, 28, 1567, 11725, 941, 370, 415, 2361, 940, 28, 16375, 8094, 14, 290, 2023, 14, 266, 1606, 14, 377, 1286, 2787, 14, 1512, 940, 797, 290, 2884, 293, 1043, 740, 3596, 14, 3596, 293, 1043, 293, 765, 14, 4788, 1868, 3596, 16, 1567, 3356, 979, 4084, 4389, 3596, 16, 528, 12229, 251, 3737, 795, 260, 106, 48, 570, 259, 108, 24236, 100, 3737, 461, 2349, 2482, 85, 8383, 616, 4463, 28, 1567, 11725, 941, 720, 290, 2023, 14, 266, 1606, 14, 4788, 1868, 3596, 14, 797, 290, 2884, 293, 1043, 28, 1484, 3035, 511, 1121, 2304, 1280, 14, 906, 873, 1280, 1037, 1134, 1015, 656, 1448, 2566, 2832, 489, 955, 6597, 16, 1567, 14579, 3911, 28, 1484, 3035, 511, 1121, 2304, 1280, 14, 906, 511, 1280, 16, 6207, 2952, 1883, 1735, 1182, 14, 979, 1306, 1268, 2912, 797, 955, 1857, 906, 16, 13927, 953, 1857, 10092, 637, 873, 15, 21, 1379, 352, 370, 479, 1259, 1983, 1148, 953, 450, 615, 656, 2952, 1883, 1735, 1182, 761, 16, 10708, 1233, 28, 9758, 1924, 490, 377, 589, 342, 2938, 377, 370, 1637, 953, 1479, 660, 2938, 4628, 1987, 16, 1567, 2073, 1655, 450, 436, 271, 896, 1305, 489, 1316, 1642, 804, 1459, 734, 368, 1430, 1924, 16, 1567, 22783, 442, 450, 436, 720, 5844, 411, 353, 2036, 1860, 14, 377, 1655, 450, 1842, 941, 370, 6045, 16, 528, 11227, 48, 795, 130, 250, 3737, 28, 10063, 1379, 2252, 637, 906, 1430, 1512, 16, 6100, 1430, 1512, 352, 2266, 1148, 953, 442, 3271, 740, 10270, 368, 1430, 1924, 16, 528, 12229, 251, 3737, 795, 260, 106, 48, 519, 6444, 49, 21754, 6444, 48, 28, 17986, 8094, 358, 843, 14, 3931, 3573, 10319, 1391, 2725, 16, 23553, 2373, 4287, 1563, 1774, 972, 16, 13352, 2912, 4298, 3596, 461, 2349, 2482, 85, 8383, 616, 4463, 370, 1182, 377, 33, 15370, 3034, 368, 1829, 1039, 656, 1148, 953, 1430, 1924, 3, 13352, 2912, 4298, 3596, 461, 2349, 2482, 85, 8383, 616, 4463, 1222, 1210, 3443, 33, 20384, 13352, 2912, 4298, 3596, 461, 2349, 2482, 85, 8383, 616, 4463, 551, 1303, 33, 20384, 986, 983, 571, 4298, 3596, 461, 2349, 2482, 85, 8383, 616, 4463, 551, 1303, 1592, 370, 479, 946, 1915, 564, 2203, 986, 983, 571, 4298, 3596, 461, 2349, 2482, 85, 8383, 616, 4463, 551, 1303, 33, 8654, 1148, 953, 13352, 2912, 4298, 3596, 461, 2349, 2482, 85, 8383, 616, 4463, 1883, 1735, 14, 3931, 1447, 1737, 8601, 2026, 6601, 3378, 370, 442, 1655, 13352, 2912, 4298, 3596, 461, 2349, 2482, 85, 8383, 616, 4463, 377, 33, 9688, 3633, 13352, 2912, 4298, 3596, 461, 2349, 2482, 85, 8383, 616, 4463, 368, 5363, 734, 352, 985, 1254, 2078, 1455, 572, 33, 13352, 2912, 4298, 3596, 461, 2349, 2482, 85, 8383, 616, 4463, 370, 993, 646, 1182, 377, 352, 1883, 1735, 1148, 953, 454, 1210, 2381, 33, 13352, 2912, 4298, 3596, 461, 2349, 2482, 85, 8383, 616, 4463, 2203, 551, 1303, 9327, 3746, 14, 2116, 1460, 489, 1222, 1182, 761, 33, 13352, 2912, 4298, 3596, 461, 2349, 2482, 85, 8383, 616, 4463, 1222, 1210, 3443, 352, 370, 9136, 377, 33, 20384, 13352, 2912, 4298, 3596, 461, 2349, 2482, 85, 8383, 616, 4463, 551, 1303, 33, 20384, 13352, 2912, 4298, 3596, 461, 2349, 2482, 85, 8383, 616, 4463, 551, 1303, 13352, 2912, 4298, 3596, 461, 2349, 2482, 85, 8383, 616, 4463, 1222, 1210, 3443, 33, 458, 370, 9136, 377, 33, 13352, 2912, 4298, 3596, 2766, 4788, 1868, 2277, 906, 2303, 3596, 461, 5630, 8383, 616, 4463, 1567, 1288, 1924, 21375, 14194, 2419, 701, 523, 1388, 8195, 2101, 3183, 701, 523, 1388, 11085, 16859, 259, 229 ]
[ 1, 20089, 786, 1553, 9543, 10043, 14, 3291, 760, 1329, 624, 935, 16, 2899, 11353, 15839, 18932, 9359, 3342, 3168, 8766, 3751, 16679, 9359, 16, 4838, 11706, 14083, 5442, 8195, 1689, 1975, 21296, 6956, 6922, 619, 844, 11091, 7196, 9432, 461, 1175, 15038, 701, 1975, 21296, 17543, 15980, 7492, 20961, 1592, 16, 4676, 4471, 7199, 18931, 3623, 18971, 15038, 701, 1975, 9225, 4670, 16, 9688, 1608, 2766, 4624, 450, 521, 3682, 786, 2380, 3073, 16, 795, 54, 58, 38, 1421, 79, 90, 968, 79, 2183, 567, 16, 3623, 1227, 5444, 14, 543, 258, 261, 14, 1146, 12315, 16, 3623, 370, 6103, 1412, 3884, 3011, 16, 760, 5899, 3987, 3946, 14, 340, 16, 7397, 14, 1602, 1448, 14, 1421, 1602, 2640, 14, 1444, 1602, 16, 20240, 1244, 14, 786, 5559, 14, 14150, 17142, 14, 3812, 5827, 14, 3812, 17142, 16, 11942, 1389, 11910, 837, 1773, 14, 1412, 4120, 2910, 4367, 1588, 2826, 7066, 1783, 14, 1412, 1270, 1460, 1391, 2725, 16, 10683, 2376, 2277, 2999, 411, 11112, 2293, 14, 370, 1705, 1460, 16, 10683, 18931, 2899, 11863, 9432, 2277, 388, 4066, 15104, 519, 866, 7376, 3623, 3342, 16162, 6328, 11539, 12505, 10668, 8673, 4471, 6579, 7397, 2899, 11863, 15370, 223, 18613, 619, 3587, 6701, 7775, 22817, 8820, 11724, 22817, 7253, 16, 388, 5425, 1268, 528, 13012, 55, 1203, 104, 3737, 20241, 1146, 38, 681, 9561, 54, 4492, 98, 50, 619, 130, 233, 48, 16962, 1021, 130, 246, 1021, 4850, 3737, 14, 503, 35, 3737, 619, 35, 461, 19962, 3737, 7688, 49, 11085, 20350, 10935, 4850, 619, 260, 119, 50, 7688, 49, 427, 55, 259, 249, 37, 570, 14276, 3737, 16, 5343, 986, 395, 619, 1751, 619, 7588, 388, 2344, 6727, 11253, 7385, 4284, 5345, 16864, 13277, 16, 223, 175, 256, 244, 237, 7946, 14311, 3142, 20251, 22120, 223, 175, 256, 245, 239, 15824, 2876, 16, 10683, 1021, 566, 11403, 5553, 1997, 388, 4066, 411, 11112, 22817, 638, 1467, 8799, 643, 1018, 5632, 7397, 20384, 3718, 4284, 2134, 223, 175, 256, 240, 98, 624, 468, 8541, 9265, 5799, 7, 10683, 701, 496, 19250, 3623, 16, 223, 175, 256, 244, 246, 570, 259, 245, 10977, 239, 760, 14276, 37, 9318, 5451, 50, 643, 5419, 16, 2442, 23003, 23003, 11472, 7833, 12694, 388, 6226, 643, 43, 16903, 4492, 231, 23003, 23003, 11472, 65, 4864, 249, 239, 223, 175, 256, 244, 112, 1743, 1686, 1099, 1066, 2477, 3232, 3183, 314, 893, 2177, 2678, 4919, 3437, 10158, 49, 624, 43, 36, 5758, 16, 11085, 16859, 16903, 795, 5982, 9546, 3737, 223, 175, 256, 243, 116, 223, 175, 256, 243, 111, 9636, 3084, 450, 532, 3089, 1695, 352, 1747, 837, 16, 2442, 23003, 23003, 23003, 388, 13012, 48, 730, 238, 6759, 760, 17770, 48, 619, 8810, 59, 2442, 223, 175, 256, 245, 236, 15839, 1858, 28, 13226, 55, 923, 47, 260, 117, 54, 388, 8337, 225, 48, 457, 19969, 619, 260, 119, 50, 223, 175, 256, 240, 104, 2471, 99, 17547, 5605, 3073, 1567, 223, 175, 256, 240, 249, 10423, 1165, 3136, 1431, 1364, 8414, 18997, 14, 1708, 1165, 3136, 19969, 1905, 79, 14, 1165, 1858, 1431, 223, 175, 256, 240, 102, 24725, 3884, 2107, 624, 50, 3168, 10204, 14, 3751, 16679, 14, 20384, 18931, 14, 18018, 84, 7882, 7737, 16, 223, 175, 256, 239, 101, 15839, 1858, 2303, 14, 1165, 3136, 3624, 15893, 14, 11910, 1652, 3695, 1185, 1708, 223, 175, 256, 240, 98, 388, 563, 2907, 28, 6768, 1364, 511, 14, 20, 14, 21, 14, 5394, 1597, 6079, 15, 82, 24630, 14, 643, 20607, 24630, 14, 1158, 15, 17337, 14, 13795, 2664, 760, 1329, 624, 935, 14, 3056, 10497, 17547, 5605, 3073, 1587, 3623, 5559, 17547, 5605, 3073, 14, 10497, 2419, 1196, 595, 3056, 3168, 1121, 760, 1329, 624, 935, 223, 175, 256, 252, 99, 6914, 79, 615, 20405, 1250, 2172, 8414, 18997, 6665, 7940, 18022, 14, 4676, 4801, 643, 1018, 14, 14194, 4801, 701, 496, 14, 14579, 19085, 1800, 2832, 572, 3812, 1843, 1124, 2442, 23003, 11472, 65, 7833, 12694, 388, 6226, 519, 5451, 48, 10935, 4850, 570, 4850, 43, 760, 23451, 48, 2442, 23003, 11472, 18931, 786, 760, 1329, 624, 935, 14, 2376, 786, 422, 614, 1997, 760, 1329, 624, 935, 14, 18931, 786, 790, 1345, 14, 2376, 786, 1222, 7454, 14, 2376, 786, 422, 614, 2277, 760, 1329, 624, 935, 14, 2376, 786, 422, 614, 4053, 760, 1329, 624, 935, 14, 18931, 786, 422, 614, 4446, 760, 1329, 624, 935, 14, 2376, 786, 846, 422, 614, 2977, 9048, 1713, 14, 2376, 786, 422, 614, 3291, 760, 1329, 624, 935, 14, 2376, 786, 422, 614, 4341, 760, 1329, 624, 935, 14, 2376, 786, 422, 614, 4533, 760, 1329, 624, 935, 14, 2376, 786, 12238, 760, 1329, 624, 935, 14, 2376, 786, 1005, 760, 1329, 624, 935, 14, 2376, 786, 1222, 7454, 14, 2376, 786, 422, 614, 1800, 12238, 302, 1329, 23142, 14, 2376, 786, 422, 614, 1787, 12238, 760, 1329, 624, 935, 1743, 18931, 786, 1930, 614, 1444, 14, 760, 1329, 624, 935, 16, 18931, 786, 1930, 614, 1905, 760, 1329, 624, 935, 16, 18931, 786, 1930, 614, 2963, 19316, 760, 1329, 624, 935, 16, 18931, 786, 1930, 614, 1146, 14, 760, 1329, 624, 935, 16, 18931, 786, 1930, 614, 1421, 19316, 760, 1329, 624, 935, 16, 18931, 786, 1930, 614, 511, 14, 760, 1329, 624, 935, 16, 2442, 23003, 23003, 11472, 7833, 12694, 388, 6226, 24236, 235, 6759, 15034, 100, 2442, 23003, 11472, 65, 11085, 16859, 259, 229, 48, 624, 19962, 48, 795, 5982, 9546, 3737, 19763, 7867, 28, 17916, 1099, 16, 1066, 16, 2477, 16, 3232, 1567, 314, 893, 20, 16, 3468, 16, 3628, 16, 758, 6813, 8587, 28, 293, 1094, 998, 261, 424, 4700, 87, 414, 16, 18141, 17639, 28, 2454, 623, 2893, 6372, 86, 318, 1168, 63, 21350, 1938, 934, 454, 3705, 1989, 757, 1509, 14, 2203, 2376, 1316, 934, 1430, 14, 2614, 3174, 14, 1509, 1540, 1316, 934, 1430, 14, 1694, 1261, 1608, 2213, 1316, 934, 1430, 16, 7737, 16, 5828, 9021, 10663, 14, 14313, 461, 696, 2419, 427, 273, 14714, 6497, 2485, 16, 9432, 19250, 3623, 8594, 24945, 7723, 3718, 388, 5425, 643, 1405, 91, 11253, 22689, 6207, 13052, 16373, 16, 3623, 1871, 4676, 4471, 3666, 1011, 21350, 5605, 8158, 23600 ]
[ 1, 53, 878, 318, 427, 24022, 7511, 1166, 22798, 10403, 8385, 223, 528, 10047, 1491, 14302, 8385, 8363, 1127, 1970, 15, 68, 3616, 14302, 8385, 1021, 3327, 1267, 14302, 8385, 427, 8698, 298, 1168, 8385, 223, 4637, 3796, 1491, 14302, 8385, 528, 1904, 73, 1797, 85, 14302, 8385, 570, 12940, 73, 1797, 85, 8385, 223, 427, 8698, 998, 5031, 266, 10846, 3453, 14302, 8385, 528, 1904, 73, 1797, 85, 14302, 8385, 14165, 1220, 24276, 15797, 12951, 14302, 8385, 570, 80, 315, 546, 358, 3327, 7694, 8385, 223, 4175, 79, 1797, 14522, 14302, 8385, 5564, 279, 1446, 73, 815, 14302, 14302, 223, 528, 10047, 1491, 3183, 266, 12573, 1491, 14302, 14302, 14302, 570, 12940, 14302, 14302, 14302, 519, 8116, 309, 14302, 14302, 14302, 519, 8116, 6948, 14302, 14302, 14302, 570, 1267, 2920, 815, 14302, 14302, 14302, 7451, 6772, 2089, 3183, 1933, 20184, 12940, 14302, 14302, 14302, 760, 1797, 82, 1841, 9648, 14302, 14302, 223, 15498, 3183, 343, 2395, 91, 299, 6598, 1797, 14522, 14302, 14302, 14302, 9355, 340, 2670, 1471, 85, 14302, 14302, 14302, 9355, 299, 2395, 1220, 24276, 358, 3327, 7694, 14302, 14302, 223, 6521, 11083, 8321, 8385, 223, 19176, 98, 74, 6930, 1491, 14302, 8385, 19176, 241, 84, 15732, 4512, 14302, 8385, 19176, 241, 84, 11800, 3074, 85, 14302, 8385, 11233, 9732, 286, 7876, 14302, 8385, 16791, 807, 4512, 8385, 223, 5029, 1094, 1168, 14302, 8385, 23079, 14601, 14302, 14302, 223, 528, 10047, 1491, 3183, 2448, 1077, 5175, 14302, 14302, 223, 388, 6772, 12681, 14302, 14302, 223, 13363, 88, 2248, 862, 14302, 14302, 223, 427, 8698, 998, 14302, 14302, 223, 986, 6930, 1491, 14302, 14302, 223, 6521, 11083, 8321, 14302, 8385, 10185, 3234, 85, 8385, 223, 611, 90, 815, 8385, 223, 23181, 9176, 1491, 917, 1471, 85, 8385, 223, 760, 1141, 5031, 296, 616, 79, 24276, 302, 1797, 85, 14302, 8385, 5564, 279, 1446, 73, 815, 8385, 223, 655, 2272, 1992, 24276, 14302, 8385, 528, 1904, 73, 1797, 85, 14302, 14302, 223, 528, 10047, 1491, 14302, 14302, 223, 4637, 3796, 1491, 14302, 8385, 570, 12940, 73, 1797, 85, 14302, 14302, 223, 528, 10047, 1491, 14302, 14302, 223, 4637, 3796, 1491, 14302, 8385, 760, 1141, 5564, 279, 11991, 3183, 1933, 8817, 309, 14302, 8385, 9355, 299, 340, 14993, 68, 3246, 5031, 282, 2877, 981, 3246, 14302, 14302, 223, 4175, 79, 1797, 14522, 8385, 223, 570, 10334, 862, 14302, 8385, 5564, 279, 1446, 73, 815, 8385, 223, 4637, 5756, 73, 1797, 85, 8385, 223, 22160, 1491, 8385, 223, 20640, 1792, 1491, 14737, 546, 69, 8753, 2776, 441, 5630, 8385, 223, 519, 8116, 309, 701, 2262, 85, 8385, 223, 20086, 815, 8385, 223, 16791, 807, 4512, 14302, 8385, 22460, 73, 6948, 14302, 8385, 6521, 11083, 8321, 1618, 22798, 463, 5031, 299, 6598, 1797, 14522, 14302, 8385, 519, 3246, 2670, 7893, 302, 7624, 14302, 8385, 427, 4851, 317, 1618, 22798, 10403, 14302, 8385, 11730, 2656, 14, 592, 78, 85, 9065, 14, 263, 1141, 815, 14, 285, 4289, 815, 14302, 8385, 6747, 2262, 85, 8385, 223, 4637, 4851, 340, 21470, 14302, 8385, 18003, 14302, 14302, 223, 2467, 1363, 308, 4461, 1168, 14302, 8385, 12569, 1685, 4743, 271, 10611, 7020, 85, 5031, 340, 1471, 16630, 2656, 1420, 8067, 1084, 3171, 8385, 223, 611, 1145, 2448, 8368, 86, 266, 15725, 14302, 8385, 1420, 8067, 12681, 14302, 8385, 5672, 23645, 9594, 14302, 8385, 1166, 5014, 299, 19067, 358, 9384, 2448, 20592, 14302, 8385, 795, 19189, 14302, 8385, 1347, 5555, 1679, 15429, 69, 14302, 8385, 24056, 276, 22797, 8385, 223, 17553, 6212, 2548, 9374, 8385, 223, 16483, 815, 69, 3295, 85, 8385, 223, 5457, 6212, 2548, 9374, 8385, 223, 7783, 78, 654, 73, 2656, 8385, 223, 16483, 815, 69, 3295, 815, 8385, 223, 643, 13151, 358, 506, 1491, 266, 5673, 807, 815, 8385, 223, 643, 13151, 18913, 10334, 998, 8858, 8385, 223, 24056, 276, 22797, 343, 2920, 16339, 8385, 223, 986, 8627, 862, 6686, 2045, 2656, 8385, 223, 643, 15725, 8385, 223, 5672, 70, 17284, 76, 5662, 7757, 2448, 10172, 8385, 223, 519, 3246, 2670, 1084, 263, 862, 23552, 998, 8858, 8385, 223, 1162, 4603, 685, 9732, 5031, 299, 13124, 807, 4512, 11899, 1068, 5183, 8385, 223, 1158, 378, 315, 7757, 14302, 8385, 4175, 79, 1797, 14522, 14302, 8385, 16791, 807, 4512, 8385, 223, 503, 20528, 1491, 290, 6948, 8385, 223, 701, 5015, 85, 8385, 223, 21218, 6022, 6379, 2089, 1168, 262, 6462, 12802, 9444, 8385, 223, 427, 546, 20924, 7020, 4641, 80, 10403, 15664, 12573, 8385, 223, 18997, 14302, 8385, 8854, 15, 1588, 23046, 14226, 967, 69, 7694, 14302, 8385, 701, 5015, 85, 14302, 8385, 6852, 88, 85, 14302, 8385, 611, 8712, 85, 14302, 8385, 16617, 807, 6829, 69, 7694, 14302, 8385, 519, 1084, 91, 69, 7694, 14302, 8385, 18604, 79, 2546, 20815, 14302, 8385, 16617, 807, 286, 16899, 14302, 8385, 5564, 2366, 4849, 14302, 8385, 701, 2893, 2656, 14302, 8385, 1158, 378, 315, 7757, 14302, 8385, 16617, 8858, 14302, 8385, 16791, 807, 4512, 14302, 8385, 4637, 4851, 340, 21470, 8385, 223, 6722, 14302, 8385, 11761, 1084, 3295, 9065, 14302, 8385, 6722, 82, 12430, 815, 14302, 8385, 6722, 285, 862, 2411, 10403, 14302, 8385, 5501, 2045, 78, 1446, 2656, 14302, 8385, 528, 506, 302, 78, 1446, 2656, 14302, 8385, 1162, 3698, 1491, 2776, 441, 5630, 14302, 8385, 5501, 6265, 2395, 815, 14302, 8385, 1158, 378, 315, 7757, 14302, 8385, 16617, 8858, 14302, 8385, 16791, 807, 4512, 14302, 8385, 4637, 4851, 340, 21470, 8385, 223, 1166, 10611, 14302, 8385, 3837, 14832, 14302, 14302, 223, 1834, 6265, 7876, 14302, 14302, 223, 16617, 807, 15082, 7876, 14302, 14302, 223, 1347, 4367, 69, 20407, 85, 14302, 8385, 10989, 7837, 14302, 14302, 223, 681, 468, 2431, 85, 14302, 14302, 223, 4641, 7335, 14302, 14302, 223, 655, 8188, 7694, 14302, 8385, 5942, 24176, 6829, 69, 7694, 14302, 8385, 1347, 1291, 981, 81, 7837, 14302, 8385, 1158, 378, 315, 7757, 14302, 8385, 701, 1471, 5405, 85, 14302, 8385, 16617, 8858, 14302, 8385, 16791, 807, 4512, 14302, 8385, 4637, 4851, 340, 21470, 21119, 8385, 223, 2384, 7026, 17578, 4885, 378, 315, 7757, 14302, 8385, 22451, 862, 343, 309, 318, 8858, 14302, 8385, 16305, 13566, 2910, 7026, 17578, 4885, 75, 378, 82, 7757, 14302, 8385, 16791, 807, 4512, 8385, 223, 8763, 71, 5031, 266, 312, 17349, 24783, 2343, 9807, 8385 ]
[ 1, 70, 8211, 15423, 299, 13516, 2877, 1141, 75, 1618, 2602, 5031, 5434, 3425, 2107, 2190, 5999, 1387, 1448, 2480, 2409, 740, 436, 352, 1601, 3437, 967, 92, 967, 14, 6275, 2995, 14, 15189, 78, 2656, 14, 3437, 967, 15082, 352, 655, 3171, 15082, 16, 1832, 287, 765, 6018, 1737, 2114, 761, 695, 3646, 695, 2640, 564, 2324, 2775, 3786, 1618, 2602, 632, 1412, 1832, 15528, 16052, 5442, 1248, 1270, 14, 821, 2107, 5377, 1154, 1248, 2454, 47, 21690, 63, 1618, 2602, 274, 6072, 6297, 7978, 998, 3327, 6496, 24423, 2501, 849, 409, 1005, 442, 1424, 798, 521, 1211, 1447, 3593, 2116, 1460, 1182, 482, 932, 1326, 3911, 1618, 2602, 920, 2660, 4612, 337, 1405, 1618, 2602, 3425, 7284, 2589, 2209, 8626, 3310, 1748, 657, 821, 448, 4479, 1308, 8298, 358, 2263, 368, 3437, 17589, 3437, 4461, 967, 1980, 6593, 9353, 16, 1556, 12789, 87, 1618, 2602, 3425, 377, 479, 946, 665, 521, 635, 803, 1634, 442, 28, 1233, 620, 342, 635, 33, 11150, 3964, 1618, 2602, 2999, 2770, 287, 5408, 873, 2910, 511, 4480, 448, 1183, 397, 1105, 1183, 293, 609, 16112, 632, 8819, 454, 797, 695, 1037, 1672, 665, 1618, 2602, 3425, 922, 14, 821, 922, 1182, 489, 409, 884, 370, 479, 397, 1613, 734, 509, 454, 1854, 2892, 1618, 2602, 3786, 632, 3769, 1685, 5338, 2602, 274, 4743, 3425, 922, 8055, 757, 582, 28, 923, 7105, 3470, 3, 529, 409, 448, 571, 879, 797, 15727, 2012, 2561, 3462, 9327, 3746, 4480, 2766, 640, 5575, 4526, 2640, 2283, 15141, 285, 6625, 1491, 266, 12573, 1618, 2602, 343, 506, 10360, 3425, 922, 377, 897, 1187, 2209, 1559, 1608, 3086, 660, 734, 564, 4224, 1902, 1248, 1706, 352, 724, 975, 368, 532, 271, 16, 89, 2602, 263, 3663, 3425, 922, 2362, 2826, 4238, 704, 3437, 17589, 856, 1491, 448, 1675, 1095, 287, 765, 16052, 15522, 263, 1141, 6745, 5031, 266, 12573, 85, 285, 6625, 1491, 1618, 2602, 271, 4227, 2262, 2073, 589, 821, 922, 448, 1507, 849, 860, 33, 5553, 860, 640, 1387, 4133, 551, 509, 33, 8654, 13248, 1447, 1166, 2602, 5250, 509, 14, 821, 1005, 1100, 572, 768, 1108, 436, 534, 370, 1706, 4634, 2868, 5162, 1403, 16, 5338, 2602, 1618, 2602, 3730, 274, 6072, 2706, 368, 1618, 2602, 1618, 2602, 340, 5860, 3425, 377, 691, 589, 571, 860, 564, 2399, 397, 2186, 377, 13948, 833, 482, 932, 589, 1265, 1618, 2602, 450, 223, 315, 1094, 3425, 1655, 1154, 479, 368, 803, 564, 7337, 4629, 2090, 3045, 2158, 1902, 3437, 2995, 85, 1797, 1834, 15583, 657, 377, 564, 640, 3509, 5931, 16, 1672, 2161, 1618, 2602, 1618, 16052, 276, 315, 3425, 922, 377, 820, 2873, 615, 738, 3666, 81, 1162, 7236, 91, 75, 342, 436, 821, 922, 448, 1801, 551, 6386, 6965, 8340, 901, 352, 3168, 2284, 285, 3074, 302, 597, 7320, 1491, 4480, 2766, 640, 5575, 4526, 2640, 2283, 15141, 1618, 2602, 287, 5408, 3045, 965, 2634, 9222, 1100, 1050, 287, 5408, 4915, 975, 3425, 922, 377, 1119, 551, 782, 2202, 1194, 489, 397, 436, 3902, 1618, 6402, 266, 12573, 85, 285, 6625, 1491, 10387, 15578, 509, 821, 1005, 798, 3452, 1397, 1037, 1391, 377, 589, 1194, 4287, 1400, 28, 2071, 1935, 607, 2190, 7261, 2636, 16, 920, 2107, 14360, 1556, 2773, 1618, 2602, 16, 16780, 24086, 16052, 6989, 293, 605, 3425, 922, 377, 1645, 846, 860, 821, 922, 1831, 370, 479, 2579, 5059, 733, 489, 397, 2190, 637, 2448, 10738, 68, 3246, 280, 2611, 85, 3425, 922, 377, 1645, 846, 860, 821, 922, 1831, 370, 479, 2579, 5059, 733, 489, 397, 2190, 637, 1618, 2602, 340, 17221, 276, 89, 2602, 6989, 293, 605, 624, 566, 2202, 993, 646, 368, 458, 993, 646, 342, 397, 3945, 2202, 728, 704, 564, 1695, 4622, 5522, 1244, 1259, 1071, 450, 5522, 1860, 285, 6625, 1491, 1618, 6402, 285, 309, 3425, 377, 691, 846, 860, 3437, 2995, 85, 1797, 1834, 15583, 640, 837, 1383, 615, 1349, 2066, 1584, 856, 1491, 1361, 87, 482, 932, 1618, 2602, 740, 271, 13283, 450, 75, 1618, 2602, 3425, 343, 2206, 2729, 1108, 1280, 397, 920, 7632, 20509, 14, 1015, 509, 2962, 411, 745, 79, 1980, 14, 16072, 1563, 11974, 1980, 1871, 2397, 2729, 16, 285, 3074, 15522, 266, 12573, 85, 302, 597, 7320, 1491, 2161, 85, 21613, 3425, 922, 733, 1005, 1424, 798, 1391, 2430, 2303, 352, 3639, 4266, 368, 2630, 4009, 293, 1061, 566, 1618, 2602, 285, 3074, 266, 12573, 85, 285, 2888, 3425, 922, 733, 2245, 768, 821, 922, 4980, 482, 448, 3473, 397, 975, 635, 509, 20447, 285, 9301, 15522, 3425, 922, 377, 1645, 846, 860, 397, 651, 436, 2435, 703, 640, 1713, 1400, 482, 932, 274, 6072, 1618, 2602, 262, 80, 86, 69, 1618, 2602, 340, 17221, 20838, 15423, 3769, 1685, 3425, 922, 377, 1645, 846, 860, 397, 651, 436, 2435, 703, 640, 1713, 1400, 482, 932, 2161, 223, 159, 119, 255, 159, 119, 250, 159, 119, 112, 159, 119, 250, 223, 159, 119, 258, 159, 119, 258, 159, 119, 250, 159, 120, 229, 159, 119, 101, 159, 119, 250, 159, 120, 237, 3425, 377, 4249, 9001, 2501, 14, 2126, 3353, 342, 821, 2300, 768, 803, 500, 377, 479, 572, 1902, 1553, 17509, 2374, 14, 2009, 860, 823, 1037, 1391, 821, 649, 370, 397, 2085, 1039, 2776, 16, 5338, 2602, 5803, 3403, 1618, 2602, 1941, 2723, 1412, 1419, 4480, 3422, 589, 2246, 2024, 2145, 920, 368, 9163, 9353, 8094, 28, 1618, 1127, 13592, 14, 564, 409, 2653, 1382, 1618, 2602, 978, 5522, 4480, 3211, 706, 897, 2531, 4745, 521, 10930, 5646, 955, 2807, 2787, 3237, 2397, 3573, 10319, 1391, 2725, 29, 821, 922, 1424, 798, 521, 7228, 4459, 2130, 8113, 1431, 21059, 276, 4140, 6848, 1005, 761, 3557, 2340, 285, 3074, 15522, 285, 6625, 1491, 6848, 3425, 922, 3422, 589, 551, 1525, 3056, 532, 14, 884, 2868, 3839, 821, 922, 551, 397, 1503, 728, 14, 352, 532, 448, 1866, 3395, 1675, 2111, 657, 1269, 377, 479, 370, 442, 821, 922, 285, 309, 15522, 340, 17221, 3425, 13703, 4680, 3098, 766, 3692, 2449, 454, 3839, 1618, 2602, 1065, 261, 4256, 363, 418, 3813, 1618, 2602, 1618, 2602, 86, 77, 2073, 589, 821, 922, 649, 1100, 572, 397, 436, 2584, 1345, 888, 3593, 860, 33, 4588, 724 ]
[ 1, 89, 2602, 16577, 2238, 27, 11171, 3425, 1655, 1154, 479, 368, 803, 564, 7337, 4629, 2090, 3045, 2158, 1902, 3437, 2995, 85, 1797, 1834, 15583, 657, 377, 564, 640, 3509, 5931, 16, 1618, 2602, 16780, 276, 298, 3425, 922, 377, 479, 564, 436, 728, 691, 768, 821, 922, 370, 1483, 837, 635, 615, 9087, 12181, 1618, 2602, 450, 5031, 5434, 302, 597, 1491, 11150, 3964, 15522, 263, 1141, 6745, 3425, 922, 377, 691, 521, 436, 728, 489, 1222, 1474, 3806, 5202, 18885, 7, 370, 2294, 1270, 1431, 1181, 3574, 4881, 442, 521, 1817, 1924, 5394, 1257, 3786, 1618, 2602, 276, 298, 450, 340, 69, 3425, 922, 448, 370, 479, 1377, 2052, 1079, 1388, 285, 935, 6548, 268, 368, 803, 1037, 1391, 2999, 2770, 287, 5408, 21299, 263, 19, 1747, 903, 1618, 2602, 3425, 922, 7743, 80, 521, 543, 1630, 5067, 4460, 740, 1209, 1021, 15583, 427, 75, 572, 1015, 4186, 16, 5044, 1571, 1166, 2602, 7210, 1196, 605, 4480, 1599, 572, 5622, 3556, 740, 757, 821, 922, 377, 370, 1582, 1306, 2866, 28, 643, 868, 1622, 3, 16031, 1553, 3, 643, 868, 1622, 2139, 761, 370, 479, 3, 4644, 2999, 2770, 287, 5408, 2899, 1119, 1682, 1166, 2602, 3425, 922, 2506, 3911, 397, 1955, 3112, 5877, 3872, 14, 582, 28, 1592, 500, 377, 1306, 3135, 489, 532, 2999, 2770, 2561, 3462, 11595, 6979, 5843, 368, 458, 846, 16644, 411, 5791, 582, 768, 458, 448, 1302, 3802, 489, 738, 551, 3966, 3310, 1298, 436, 1119, 1182, 761, 342, 532, 1119, 15886, 458, 2605, 397, 15449, 4555, 1857, 906, 1618, 2602, 91, 815, 6989, 293, 605, 1988, 1230, 6848, 1181, 1005, 761, 3425, 922, 733, 582, 521, 635, 821, 922, 993, 646, 900, 28, 1592, 900, 821, 922, 370, 479, 4542, 4646, 532, 1832, 15528, 287, 765, 16052, 503, 3587, 1015, 490, 821, 1005, 1100, 572, 509, 342, 10708, 5731, 5731, 271, 13283, 263, 1141, 6745, 271, 862, 7814, 302, 3735, 263, 1220, 276, 80, 1618, 2602, 6989, 293, 605, 10591, 5141, 368, 2690, 766, 3051, 1868, 1706, 564, 5559, 665, 3816, 12312, 16188, 16, 1618, 2602, 262, 3425, 922, 2230, 572, 589, 342, 436, 2435, 703, 2532, 1222, 761, 454, 1185, 3276, 3838, 1484, 37, 57, 2602, 19861, 1618, 2602, 13430, 3964, 867, 815, 3425, 922, 500, 370, 1108, 1371, 1389, 489, 521, 2105, 3293, 879, 728, 1403, 2999, 2770, 287, 5408, 1988, 1230, 3425, 922, 377, 900, 1095, 2826, 1079, 1257, 1713, 1400, 490, 370, 635, 2069, 2300, 1618, 16052, 11150, 3964, 592, 261, 293, 605, 8654, 1483, 1371, 1166, 2602, 503, 395, 748, 4231, 695, 564, 2245, 632, 397, 10708, 5731, 19790, 266, 13219, 89, 7606, 1618, 2602, 358, 2920, 8332, 3425, 922, 377, 479, 450, 2125, 1316, 1642, 5450, 3177, 734, 4542, 4646, 16855, 414, 12648, 1166, 463, 1183, 6078, 2334, 2620, 2429, 352, 2999, 2770, 9489, 1618, 2602, 302, 597, 6196, 2770, 9489, 3425, 922, 377, 833, 14951, 757, 482, 1522, 695, 1037, 5553, 3045, 1166, 2602, 69, 3663, 263, 1220, 632, 1412, 3425, 589, 7743, 81, 7272, 803, 1382, 370, 442, 377, 1166, 2602, 19861, 271, 6573, 340, 3295, 19922, 340, 17221, 266, 21613, 3425, 922, 377, 691, 521, 635, 448, 2118, 572, 489, 10669, 6947, 418, 521, 906, 490, 1166, 2602, 91, 2672, 3425, 922, 377, 900, 768, 821, 922, 370, 1316, 1049, 814, 635, 564, 582, 489, 821, 922, 1618, 2602, 1748, 9327, 946, 1065, 261, 1021, 2954, 1447, 1166, 2602, 5250, 509, 14, 821, 1005, 1100, 572, 768, 1108, 436, 534, 370, 1706, 4634, 2868, 5162, 1403, 16, 521, 2202, 1682, 1682, 3557, 2340, 3425, 922, 377, 1119, 450, 768, 436, 657, 821, 922, 1424, 798, 454, 7448, 342, 620, 2464, 368, 821, 922, 733, 3524, 740, 397, 5962, 1391, 285, 3074, 285, 309, 10387, 2214, 6989, 1166, 2602, 6601, 18770, 1108, 4647, 11082, 262, 2115, 1199, 1869, 740, 7898, 357, 3762, 1037, 2927, 5559, 16, 2999, 2770, 9489, 1988, 1230, 3425, 377, 691, 803, 1302, 4936, 1257, 1181, 1302, 1036, 3755, 1618, 2602, 1036, 12801, 223, 2682, 7487, 1166, 2602, 280, 77, 3425, 922, 582, 397, 920, 16880, 9544, 28, 3895, 397, 436, 1842, 941, 1302, 1849, 4450, 1618, 2602, 3798, 2877, 765, 263, 1220, 4480, 879, 2424, 1424, 798, 454, 12037, 934, 12168, 14507, 490, 1618, 2602, 274, 6072, 271, 4970, 293, 998, 1364, 276, 315, 1618, 2602, 3425, 720, 620, 13011, 2915, 28, 1866, 1370, 377, 589, 342, 1523, 1181, 1618, 2602, 271, 13283, 1618, 7606, 3425, 922, 370, 479, 2019, 4607, 2158, 637, 3399, 490, 804, 397, 1300, 2663, 3809, 2103, 757, 1509, 8931, 3142, 16, 6848, 1814, 2012, 3557, 2340, 274, 6072, 1618, 2602, 16, 16780, 4480, 22076, 757, 1091, 905, 3098, 9280, 454, 7228, 3414, 14, 352, 302, 1532, 1091, 397, 1667, 6686, 5293, 1484, 57, 2602, 1689, 259, 245, 570, 14276, 3425, 922, 377, 1645, 1233, 368, 532, 454, 1522, 637, 509, 276, 483, 274, 6072, 1832, 15528, 287, 5408, 296, 11083, 5782, 685, 3425, 582, 489, 2649, 10601, 3011, 28, 1477, 370, 691, 1194, 1501, 803, 10974, 4836, 377, 33, 1166, 2602, 88, 315, 6496, 3425, 1079, 1574, 1550, 643, 3171, 6331, 370, 5141, 2052, 489, 1756, 1891, 1523, 377, 4915, 9302, 285, 3074, 285, 1614, 79, 2431, 2656, 15522, 3425, 922, 500, 377, 551, 782, 1302, 2381, 564, 2019, 4607, 1788, 804, 4607, 7544, 946, 5943, 271, 4970, 293, 998, 2073, 589, 1280, 734, 821, 922, 649, 3806, 5202, 1153, 940, 572, 768, 1769, 7403, 368, 436, 728, 377, 1949, 16, 920, 702, 9489, 3045, 965, 1618, 2602, 285, 3074, 285, 6625, 1491, 2161, 85, 21613, 5550, 266, 12573, 85, 2073, 589, 821, 922, 649, 448, 3473, 532, 2464, 352, 724, 2464, 368, 803, 849, 860, 33, 5985, 4201, 1447, 9489, 3557, 2340, 3425, 448, 2872, 2614, 397, 3813, 901, 9347, 5824, 352, 901, 692, 2284, 4055, 4628, 1783, 2533, 2616, 934, 454, 1522, 1379, 16, 3757, 702, 1618, 2602, 276, 89, 2602, 570, 17855, 9814, 3425, 922, 342, 888, 1817, 2531, 2723, 720, 1091, 2172, 797, 761, 3, 532, 2367, 900, 932, 503, 1618, 2602, 16647, 5250, 509, 14, 821, 2174, 1383, 352, 1424, 2515, 521, 10323, 3466, 448, 442, 5481, 640, 2625, 1037, 7262, 9665 ]
[ 1, 1267, 73, 1068, 263, 1141, 6745, 15522, 4480, 3692, 397, 7559, 728, 368, 986, 4759, 546, 21129, 15490, 3655, 10669, 378, 1446, 1980, 592, 261, 293, 605, 1618, 2602, 6018, 1737, 2114, 761, 695, 3646, 695, 2640, 564, 2324, 2775, 2202, 1682, 1682, 2202, 1682, 3557, 2340, 20447, 266, 12573, 285, 1614, 79, 15969, 3425, 922, 500, 377, 564, 2532, 1667, 368, 803, 720, 592, 685, 223, 345, 2202, 1682, 6848, 6848, 3557, 2340, 4480, 6792, 5272, 2071, 415, 6896, 8246, 1563, 7559, 3919, 368, 21327, 483, 3437, 75, 91, 75, 6196, 2770, 9489, 263, 19, 2733, 2054, 1618, 2602, 3425, 922, 3422, 589, 551, 1525, 3056, 532, 14, 884, 2868, 3839, 821, 922, 551, 397, 1503, 728, 14, 352, 532, 448, 1866, 3395, 1675, 2111, 657, 1269, 377, 479, 370, 442, 821, 922, 1832, 15528, 1832, 1821, 287, 765, 4915, 9302, 3425, 922, 1305, 798, 5273, 293, 1744, 79, 905, 397, 2190, 5770, 2036, 1312, 2682, 418, 490, 448, 7353, 1980, 16052, 15522, 263, 1141, 6745, 1166, 2602, 285, 309, 4480, 1079, 1257, 377, 691, 768, 19792, 13196, 370, 479, 1941, 1259, 489, 790, 803, 4622, 3757, 702, 1618, 2602, 3425, 922, 2362, 9604, 1640, 1358, 4101, 3338, 23332, 9342, 352, 7177, 7618, 368, 803, 285, 3074, 285, 2888, 2448, 10738, 68, 3246, 280, 2611, 85, 3425, 922, 377, 833, 3437, 2995, 85, 1797, 1834, 15583, 1801, 7930, 4827, 1541, 1540, 820, 1441, 2056, 1183, 368, 620, 922, 14, 884, 2742, 1042, 409, 1424, 665, 458, 20838, 15423, 1618, 2602, 16, 16780, 16, 22631, 3425, 922, 377, 1357, 1268, 564, 551, 454, 1602, 5354, 6346, 352, 821, 922, 448, 720, 1599, 615, 1303, 33, 1618, 2602, 287, 765, 268, 1061, 566, 1618, 2602, 511, 2890, 3425, 377, 691, 620, 500, 2245, 1756, 582, 509, 3370, 3237, 482, 932, 511, 89, 2602, 16, 16780, 6372, 3425, 922, 377, 946, 528, 1469, 10669, 7883, 75, 506, 370, 479, 3969, 7566, 748, 12907, 786, 975, 1618, 2602, 511, 89, 2602, 276, 315, 17446, 3893, 13242, 368, 821, 922, 377, 897, 370, 479, 4576, 4019, 821, 922, 720, 8650, 551, 782, 287, 5408, 18608, 3917, 271, 862, 7814, 1988, 1230, 3425, 922, 377, 691, 656, 734, 3452, 1397, 1940, 1053, 500, 615, 274, 6072, 1618, 2602, 16, 16780, 5400, 1520, 1170, 450, 786, 975, 1166, 2602, 3425, 1655, 1154, 479, 368, 803, 564, 7337, 4629, 2090, 3045, 2158, 1902, 3437, 2995, 85, 1797, 1834, 15583, 657, 377, 564, 640, 3509, 5931, 16, 2202, 1682, 3557, 2340, 3425, 922, 377, 370, 2294, 1270, 1231, 804, 901, 1244, 2224, 748, 620, 860, 33, 920, 13248, 1447, 665, 1618, 2602, 1618, 2602, 88, 315, 3425, 922, 377, 733, 370, 479, 814, 5374, 2589, 2209, 2449, 454, 1563, 1071, 1233, 833, 847, 1952, 15522, 263, 1141, 6745, 3425, 733, 833, 4479, 4101, 3338, 368, 620, 445, 1308, 1270, 1460, 2209, 285, 3074, 266, 12573, 85, 285, 2888, 920, 3786, 1618, 2602, 340, 17221, 3425, 922, 589, 3957, 934, 646, 1955, 3112, 368, 1185, 1358, 1154, 479, 803, 1618, 2602, 1618, 2602, 1970, 2073, 589, 821, 922, 448, 5111, 572, 1902, 4101, 479, 860, 33, 5400, 860, 615, 782, 33, 1618, 89, 2602, 340, 17221, 1832, 1821, 1832, 15528, 287, 765, 3425, 3268, 768, 370, 479, 9087, 8515, 766, 1801, 3132, 3113, 16, 6848, 2012, 1618, 2602, 13711, 1053, 458, 649, 4552, 1100, 489, 397, 5575, 3098, 6915, 768, 3289, 1562, 509, 342, 3289, 1562, 8917, 3135, 285, 309, 6848, 15522, 2532, 285, 566, 296, 11083, 5782, 685, 1618, 2602, 271, 4970, 293, 998, 3425, 377, 720, 11513, 22483, 3338, 4298, 2756, 692, 1037, 656, 1507, 9591, 1839, 7367, 5285, 9009, 873, 906, 3425, 720, 3692, 1980, 397, 724, 5508, 2042, 1892, 1541, 397, 436, 370, 2294, 1270, 1387, 4249, 8376, 2188, 298, 856, 75, 342, 397, 724, 2776, 955, 16, 266, 12573, 85, 285, 6625, 1491, 5031, 4452, 13352, 1484, 37, 57, 2602, 3425, 448, 2872, 2614, 397, 3813, 901, 9347, 5824, 352, 901, 692, 2284, 4055, 4628, 1783, 2533, 2616, 934, 454, 1522, 1379, 16, 302, 597, 7320, 1491, 15522, 3425, 377, 4662, 3474, 1860, 1783, 564, 1424, 632, 804, 1935, 1834, 87, 4012, 87, 1525, 1639, 1860, 1783, 1618, 2602, 511, 19680, 302, 597, 88, 315, 1166, 2602, 3425, 900, 768, 1021, 15583, 1021, 414, 370, 479, 448, 589, 2639, 397, 651, 18716, 10054, 728, 2397, 2927, 1563, 368, 436, 509, 16, 11150, 3964, 89, 2602, 26, 3425, 733, 833, 564, 640, 2315, 1244, 2136, 450, 1330, 13657, 4402, 9515, 20447, 285, 309, 1618, 2602, 3757, 702, 3425, 922, 448, 720, 978, 1377, 1541, 4680, 3098, 9280, 24108, 665, 2868, 3839, 368, 821, 922, 2999, 2770, 287, 5408, 18608, 3917, 352, 271, 862, 7814, 1988, 1230, 1618, 2602, 26, 1618, 2602, 3425, 1079, 946, 2559, 2543, 397, 1706, 1239, 1722, 5209, 450, 1434, 1858, 651, 511, 377, 6191, 651, 1905, 3786, 1618, 2602, 450, 340, 69, 276, 483, 1618, 2602, 3425, 922, 500, 377, 5059, 2283, 905, 1129, 1300, 3276, 3838, 448, 2026, 640, 450, 821, 922, 397, 920, 2424, 3540, 482, 932, 16, 1166, 2602, 358, 4012, 16938, 5089, 342, 920, 821, 922, 2091, 1270, 1460, 2209, 665, 1154, 479, 368, 1872, 388, 10246, 4614, 1800, 285, 309, 15522, 263, 1141, 6745, 2161, 1814, 2012, 2561, 3462, 3425, 922, 16687, 3288, 377, 2328, 28, 1424, 972, 660, 490, 571, 635, 932, 33, 592, 261, 293, 605, 274, 6072, 3425, 589, 2639, 7578, 1605, 2866, 833, 6094, 1563, 337, 395, 358, 4970, 368, 620, 445, 572, 16, 1618, 2602, 20801, 1084, 7020, 11150, 3964, 1618, 2602, 21146, 20838, 15423, 3425, 922, 448, 377, 571, 814, 509, 733, 2126, 3353, 905, 821, 922, 2300, 646, 3477, 846, 448, 1944, 2991, 397, 1364, 644, 728, 2999, 2770, 287, 5408, 620, 1233, 3425, 922, 377, 900, 768, 24400, 1834, 15583, 370, 479, 342, 397, 692, 738, 6196, 9408, 2202, 1682, 2202, 1682, 2202, 1682, 2202, 1618, 2602, 1065, 261, 276, 483, 2925, 6212, 3425, 377, 833, 4031, 803, 720, 3437, 87, 81, 7684, 261, 441, 418, 1814, 1388, 1705, 482, 503, 330, 22868, 3786, 1618, 2602, 274, 4743, 3425, 922, 377, 833, 14951, 757, 482, 1522, 695, 1037, 1618, 2602, 6297 ]
[ 1, 55, 89, 2602, 26, 3425, 922, 1964, 572, 1319, 567, 415, 2461, 1550, 1364, 3574, 657, 821, 922, 377, 479, 1148, 953, 352, 1479, 660, 529, 1308, 415, 2179, 1430, 368, 8614, 8414, 20838, 15423, 1618, 2602, 11150, 3964, 2899, 1210, 3443, 2317, 2625, 1015, 821, 922, 1419, 3361, 415, 2013, 4848, 728, 1403, 33, 15705, 3353, 733, 979, 4084, 733, 3, 920, 13248, 1447, 665, 1618, 2602, 1618, 2602, 13430, 3964, 592, 261, 293, 605, 340, 4510, 3425, 922, 8453, 5620, 4087, 2036, 4222, 436, 657, 821, 922, 448, 1455, 1902, 397, 724, 2524, 17017, 3557, 2340, 6848, 3557, 2340, 3425, 377, 691, 571, 660, 734, 564, 1891, 2101, 856, 75, 1834, 1491, 441, 685, 1618, 16052, 2139, 2202, 1682, 3557, 2340, 6848, 3557, 2340, 3425, 922, 720, 4147, 4427, 1541, 790, 803, 740, 2166, 1783, 2533, 14, 1424, 12333, 12333, 665, 458, 454, 2190, 5003, 14, 352, 1015, 509, 821, 922, 17105, 436, 454, 2190, 5003, 490, 274, 6072, 6297, 7978, 998, 3327, 1618, 2602, 4322, 3425, 922, 589, 2639, 3134, 2460, 632, 646, 3089, 1695, 368, 803, 352, 2799, 6954, 21057, 511, 1166, 2602, 1618, 1997, 2602, 3425, 833, 5392, 4162, 3370, 21496, 1838, 846, 2594, 14, 884, 5505, 768, 1244, 1817, 370, 3893, 917, 1199, 1302, 1110, 2005, 448, 377, 450, 821, 397, 1154, 1300, 1682, 1618, 2602, 2561, 3462, 3425, 922, 589, 3957, 934, 646, 1955, 3112, 368, 1185, 1358, 1154, 479, 803, 479, 5943, 18608, 3917, 1005, 761, 274, 6072, 276, 483, 3425, 3932, 342, 397, 724, 1381, 975, 442, 8931, 3142, 10283, 637, 8027, 3139, 804, 1935, 611, 564, 5285, 454, 15804, 16, 1166, 2602, 77, 765, 3425, 922, 2086, 1370, 1153, 1719, 646, 1842, 2445, 665, 436, 532, 1211, 1198, 2506, 761, 490, 14808, 1556, 12789, 87, 1618, 2602, 274, 6072, 276, 483, 3425, 1424, 798, 21490, 8515, 377, 370, 4186, 3180, 635, 14, 620, 615, 397, 803, 846, 1618, 2602, 274, 6072, 3425, 1079, 1574, 1550, 643, 3171, 6331, 370, 5141, 2052, 489, 1756, 1891, 1523, 377, 2202, 1682, 3557, 2340, 1181, 761, 1166, 2602, 21146, 20838, 15423, 3425, 377, 691, 589, 571, 860, 564, 2399, 397, 2186, 377, 13948, 833, 482, 932, 589, 1265, 287, 765, 1618, 2602, 3425, 377, 1869, 572, 3011, 3756, 768, 4275, 4026, 1834, 4849, 13871, 370, 479, 342, 3638, 1706, 368, 795, 414, 91, 506, 16, 287, 765, 285, 670, 1988, 1230, 276, 483, 1618, 2602, 9645, 821, 720, 15093, 271, 10477, 1541, 4663, 15726, 368, 6701, 1219, 1214, 377, 479, 2324, 2775, 454, 397, 1095, 1314, 1618, 2602, 6848, 4480, 2766, 640, 5575, 4526, 2640, 2283, 15141, 1618, 2602, 271, 13283, 340, 5860, 1556, 12789, 87, 1618, 2602, 3425, 377, 1645, 846, 860, 640, 1801, 1312, 75, 503, 1491, 3869, 261, 551, 782, 274, 6072, 293, 1061, 566, 3425, 922, 377, 900, 768, 821, 922, 370, 479, 370, 1170, 985, 450, 646, 5392, 6322, 1057, 1522, 490, 16, 285, 3074, 285, 6948, 276, 2602, 592, 261, 293, 605, 4480, 1079, 4295, 1891, 640, 2111, 1849, 2480, 2409, 657, 458, 5429, 5530, 352, 2259, 4979, 450, 1312, 75, 506, 1021, 15583, 287, 765, 16052, 1618, 2602, 340, 17221, 5031, 5434, 3425, 922, 377, 691, 2186, 3986, 1037, 1391, 803, 342, 1254, 16, 1672, 1618, 2602, 285, 3074, 285, 6625, 1491, 2910, 4193, 1618, 6402, 9087, 1534, 657, 458, 4224, 572, 649, 720, 2145, 377, 1233, 1387, 490, 637, 637, 5429, 5530, 352, 5429, 978, 16, 1618, 2602, 3769, 1685, 3425, 377, 479, 377, 12519, 3118, 620, 1308, 521, 1523, 28, 1319, 1257, 342, 972, 946, 620, 8654, 13248, 352, 4881, 1447, 740, 1166, 2602, 1618, 2602, 370, 9327, 3746, 4722, 657, 821, 922, 377, 479, 1645, 442, 342, 1649, 4348, 7498, 12486, 454, 903, 2225, 368, 1834, 506, 12733, 83, 75, 6848, 1618, 2602, 11150, 3964, 3425, 922, 18663, 1980, 352, 582, 28, 624, 588, 1705, 1919, 734, 33, 5553, 860, 3713, 797, 1269, 733, 342, 5931, 1705, 1919, 33, 3649, 19861, 2872, 2371, 1166, 2602, 13293, 1556, 12789, 87, 740, 1166, 2602, 3425, 377, 691, 768, 436, 657, 3008, 2007, 821, 766, 1187, 342, 532, 2464, 368, 9999, 4234, 1618, 89, 2602, 1618, 2602, 3730, 13711, 1053, 458, 649, 1599, 13433, 263, 558, 490, 615, 6809, 5179, 358, 2212, 79, 1618, 2602, 74, 80, 88, 315, 274, 6072, 276, 483, 1618, 2602, 2139, 4480, 1302, 2480, 2389, 564, 1287, 14, 567, 643, 1491, 76, 298, 352, 21327, 483, 92, 967, 1286, 377, 798, 458, 4460, 551, 1303, 16, 1618, 2602, 16780, 340, 69, 3425, 1601, 1319, 567, 1298, 436, 640, 489, 1403, 14, 352, 370, 1108, 3646, 436, 2416, 740, 7262, 2224, 454, 5877, 946, 368, 1483, 2005, 16, 2561, 3462, 3557, 2340, 287, 5408, 975, 1988, 1230, 3425, 922, 370, 646, 2733, 2054, 368, 388, 3171, 378, 655, 2366, 308, 2089, 1015, 6655, 14, 352, 1306, 1735, 368, 646, 1246, 5814, 368, 1105, 5823, 3374, 370, 2294, 1270, 342, 2209, 352, 2209, 16, 1618, 2602, 2448, 1068, 3425, 377, 479, 5007, 1424, 3666, 1689, 3171, 12499, 14, 8093, 418, 1219, 506, 91, 15583, 352, 436, 2376, 1039, 3910, 16052, 16780, 1618, 2602, 1618, 2602, 2575, 77, 3425, 922, 370, 479, 2019, 4607, 2158, 637, 3399, 490, 804, 397, 1300, 2663, 3809, 2103, 757, 1509, 8931, 3142, 16, 702, 9489, 2561, 3462, 5442, 1248, 1270, 14, 821, 2107, 5377, 1154, 1248, 2454, 47, 21690, 63, 1618, 2602, 274, 6072, 271, 4970, 293, 998, 6496, 415, 2202, 1682, 1005, 761, 503, 5220, 637, 2540, 821, 6792, 572, 352, 4147, 1071, 5055, 5067, 9591, 5721, 368, 681, 2347, 8776, 1588, 1618, 2602, 74, 80, 88, 315, 3425, 448, 2872, 2614, 397, 3813, 901, 9347, 5824, 352, 901, 692, 2284, 4055, 4628, 1783, 2533, 2616, 934, 454, 1522, 1379, 16, 592, 9069, 1618, 2602, 276, 2602, 541, 338, 293, 605, 3425, 922, 377, 691, 521, 436, 728, 489, 1222, 1474, 3806, 5202, 18885, 7, 370, 2294, 1270, 1431, 1181, 3574, 4881, 442, 521, 1817, 1924, 5394, 1257, 285, 309, 1618, 2602, 3425, 500, 377, 900, 768, 1667, 1601, 3639, 4266, 352, 3802, 2445, 2362, 849, 733, 342, 7092, 3112, 368, 821, 15522, 263, 1141, 6745, 15522, 1618, 2602, 5031, 5434 ]
[ 1, 89, 2602, 340, 17221, 340, 4227, 315, 3184, 6009, 941, 15588, 11952, 1153, 572, 637, 4964, 28, 2899, 1254, 377, 33, 1501, 2872, 4283, 82, 1618, 2602, 3425, 691, 10371, 5653, 377, 589, 342, 436, 377, 571, 635, 657, 377, 370, 1170, 985, 16, 975, 786, 287, 5408, 2202, 1682, 2202, 1682, 2202, 1682, 2202, 1682, 7385, 757, 10458, 1713, 4889, 352, 1198, 934, 2139, 293, 4025, 14, 458, 2050, 10877, 15556, 11623, 2139, 4083, 10120, 10718, 724, 14659, 1618, 2602, 271, 6568, 646, 1847, 1915, 2388, 1322, 821, 922, 2086, 1383, 823, 500, 482, 660, 734, 1618, 2602, 91, 815, 6989, 293, 605, 1988, 1230, 975, 702, 3425, 922, 377, 820, 2873, 615, 738, 3666, 81, 1162, 7236, 91, 75, 342, 436, 821, 922, 448, 1801, 551, 6386, 6965, 8340, 901, 352, 3168, 2284, 287, 765, 1988, 1230, 3425, 922, 377, 897, 3253, 3837, 685, 856, 3171, 5034, 418, 482, 397, 2105, 1840, 1397, 3873, 2126, 9692, 1618, 2602, 592, 261, 293, 605, 271, 4970, 293, 998, 2203, 4193, 6848, 1618, 2602, 15522, 3425, 922, 377, 6644, 1383, 768, 6852, 388, 3171, 448, 2872, 1053, 397, 276, 5555, 1015, 656, 821, 922, 2067, 482, 397, 651, 3136, 1165, 2108, 352, 436, 9325, 5620, 1483, 1371, 786, 975, 1618, 2602, 3425, 922, 733, 582, 521, 635, 821, 922, 993, 646, 900, 28, 1592, 900, 821, 922, 370, 479, 4542, 4646, 532, 1618, 2602, 302, 73, 262, 80, 86, 69, 1618, 2602, 720, 1287, 4720, 3425, 922, 377, 833, 3437, 2995, 85, 1797, 1834, 15583, 1801, 7930, 4827, 1541, 1540, 820, 1441, 2056, 1183, 368, 620, 922, 14, 884, 2742, 1042, 409, 1424, 665, 458, 340, 8715, 302, 597, 7320, 1491, 4480, 733, 3633, 1833, 397, 920, 1412, 8849, 1071, 415, 2126, 1869, 1039, 1869, 1037, 1618, 2602, 1618, 2602, 18141, 16, 2693, 1100, 1050, 287, 765, 4915, 9302, 3425, 922, 500, 377, 720, 1671, 1902, 2532, 1742, 4881, 10718, 368, 15296, 92, 17589, 860, 33, 521, 2202, 1682, 3557, 2340, 1181, 761, 2073, 589, 342, 821, 922, 377, 1866, 3395, 1941, 1259, 489, 2480, 4082, 1860, 1303, 6848, 3557, 2340, 1682, 6848, 3557, 2340, 1618, 2602, 5031, 5434, 20838, 15423, 2448, 11949, 3425, 922, 442, 4881, 572, 1541, 2589, 2209, 1849, 4450, 985, 646, 1387, 4249, 368, 13085, 5034, 298, 2026, 640, 340, 8715, 285, 309, 15522, 3425, 1424, 6701, 1219, 1214, 377, 946, 28, 1477, 582, 409, 720, 541, 7035, 33, 1832, 15528, 287, 765, 296, 11083, 5782, 685, 16052, 2999, 651, 3425, 589, 7743, 81, 7272, 803, 1382, 370, 442, 377, 3786, 1618, 2602, 16, 16780, 3769, 1685, 3425, 922, 448, 377, 571, 814, 509, 733, 2126, 3353, 905, 821, 922, 2300, 646, 3477, 846, 448, 1944, 2991, 397, 1364, 644, 728, 11150, 3964, 1618, 2602, 299, 82, 77, 2214, 6989, 1166, 2602, 3425, 922, 733, 833, 2373, 15955, 3127, 837, 1371, 368, 532, 489, 4698, 1706, 16, 2799, 1170, 1166, 2602, 3425, 922, 377, 833, 551, 489, 3666, 388, 1491, 7036, 87, 1302, 2381, 564, 978, 4427, 646, 2593, 1233, 352, 3011, 3756, 2999, 2770, 287, 5408, 2634, 15646, 4915, 9302, 1618, 2602, 263, 1469, 290, 87, 6212, 290, 483, 4480, 370, 397, 2111, 6183, 2069, 2300, 14, 1755, 482, 370, 479, 1843, 6848, 702, 9489, 3425, 3268, 768, 1370, 1239, 940, 846, 368, 620, 2464, 1447, 6799, 2227, 5308, 370, 1483, 837, 635, 509, 615, 724, 3509, 490, 1618, 2602, 263, 1141, 6745, 15522, 305, 2893, 1904, 1618, 2602, 18141, 6989, 293, 605, 4480, 733, 1021, 15583, 427, 75, 632, 6809, 6593, 2779, 1503, 370, 3573, 1788, 3593, 482, 3573, 1788, 1391, 2725, 352, 22469, 15403, 1618, 2602, 20801, 1084, 7020, 3425, 377, 14011, 4321, 1655, 3636, 644, 5534, 8215, 615, 2356, 1755, 482, 8924, 411, 426, 16, 1682, 263, 1141, 6745, 2561, 3462, 740, 1783, 2533, 4193, 285, 3074, 15522, 285, 6625, 1491, 3425, 922, 500, 377, 589, 342, 397, 724, 11600, 2776, 271, 2954, 9930, 4785, 454, 10930, 3596, 436, 860, 33, 9515, 20447, 285, 309, 3425, 922, 377, 691, 803, 370, 589, 342, 436, 1265, 377, 287, 765, 1832, 15528, 16052, 1618, 2602, 3798, 2877, 765, 263, 1220, 3425, 922, 589, 1187, 572, 458, 352, 727, 3970, 458, 1722, 1185, 1618, 2602, 1856, 1754, 6212, 296, 11083, 5782, 685, 3425, 922, 833, 450, 821, 922, 691, 821, 922, 342, 1254, 489, 975, 1584, 490, 450, 75, 1618, 2602, 16, 16780, 296, 11083, 5782, 685, 5338, 2602, 867, 815, 276, 80, 4480, 1431, 748, 1316, 1642, 436, 2435, 703, 2224, 804, 734, 454, 6581, 1618, 2602, 5338, 2602, 3730, 19819, 2776, 368, 3104, 19053, 1383, 4082, 917, 1199, 1015, 6655, 821, 922, 2367, 906, 2367, 1431, 920, 4086, 1869, 1618, 2602, 2999, 2770, 702, 9489, 287, 5408, 786, 975, 3425, 922, 377, 900, 768, 397, 436, 1842, 941, 1713, 1400, 370, 479, 1244, 572, 397, 724, 10563, 2807, 9760, 7723, 2773, 1166, 2602, 720, 3813, 6018, 1737, 2114, 761, 695, 3646, 695, 2640, 564, 2324, 2775, 1618, 2602, 13430, 3964, 978, 3139, 91, 1832, 15528, 296, 11083, 5782, 685, 3425, 922, 377, 900, 768, 821, 922, 370, 479, 370, 1170, 985, 450, 646, 5392, 6322, 1057, 1522, 490, 16, 1520, 1170, 1618, 2602, 720, 1287, 3425, 922, 377, 833, 3837, 685, 856, 3171, 5034, 418, 691, 768, 920, 1259, 4629, 368, 821, 922, 2575, 757, 342, 397, 975, 1601, 342, 2460, 1261, 1672, 1814, 2012, 223, 5982, 89, 2602, 3425, 1079, 1574, 1550, 803, 370, 615, 442, 1905, 16, 1544, 695, 1037, 1181, 377, 905, 1095, 1314, 352, 377, 1314, 8924, 5372, 368, 643, 1446, 87, 16, 1618, 2602, 78, 560, 3425, 922, 7743, 80, 521, 543, 1630, 5067, 4460, 740, 1209, 1021, 15583, 427, 75, 572, 1015, 4186, 16, 1832, 15528, 287, 765, 1838, 3919, 1618, 2602, 592, 261, 287, 414, 3425, 922, 733, 22076, 757, 1091, 454, 1509, 660, 274, 345, 720, 441, 509, 1166, 2602, 26, 7210, 1196, 605, 1166, 2602, 3425, 922, 377, 479, 2246, 3368, 1938, 934, 368, 1185, 1358, 901, 2664, 1724, 646, 1483, 3838, 287, 5408, 975, 786, 1166, 2602, 77, 765, 370, 3425, 922, 733, 4224, 1902, 3192, 3636, 1036, 3755, 352, 2300, 5625, 397, 2315, 1605, 16, 223 ]
[ 1, 70, 77, 287, 3964, 309, 5731, 2209, 8626, 454, 1563, 21327, 483, 11409, 87, 917, 1809, 572, 1534, 2209, 897, 3237, 24866, 748, 567, 2589, 2209, 3237, 24866, 16, 2380, 2050, 2872, 2614, 461, 1175, 2586, 1334, 1919, 370, 479, 6234, 1512, 1110, 946, 2139, 489, 397, 5872, 12965, 6835, 14, 285, 309, 24758, 3786, 920, 3786, 4293, 3870, 28, 4293, 377, 589, 342, 436, 757, 1510, 1305, 798, 4526, 7632, 33, 665, 287, 3964, 309, 23976, 461, 2349, 3183, 16205, 11176, 3183, 23976, 18912, 3183, 2467, 9374, 2323, 33, 2560, 2560, 14, 2209, 1447, 740, 287, 3964, 309, 274, 6072, 665, 287, 87, 2978, 409, 377, 691, 529, 409, 448, 1157, 5541, 489, 724, 6835, 1639, 1198, 2480, 490, 615, 2356, 734, 3786, 651, 1783, 2533, 7291, 7108, 5141, 2052, 11394, 757, 582, 28, 923, 2837, 849, 1124, 521, 436, 490, 377, 3253, 1388, 2108, 1183, 16024, 1682, 2012, 2103, 1091, 287, 3964, 309, 88, 5124, 6230, 3425, 972, 2007, 2915, 1559, 1357, 28, 11585, 905, 906, 3919, 500, 342, 3995, 3033, 4235, 1039, 695, 368, 7940, 6208, 10669, 13910, 16, 1036, 917, 271, 68, 9527, 1345, 12238, 1919, 28, 8846, 1230, 370, 436, 820, 1512, 1599, 532, 615, 15708, 2524, 795, 9172, 72, 506, 14, 2872, 2614, 1783, 2533, 6848, 9327, 3746, 1039, 757, 5371, 734, 532, 370, 479, 2376, 382, 395, 551, 2085, 1039, 2868, 3104, 920, 3786, 1833, 953, 1783, 2533, 21327, 483, 68, 566, 14, 846, 860, 532, 640, 551, 782, 33, 8267, 4291, 3837, 685, 33, 532, 649, 551, 782, 14, 2161, 287, 87, 263, 1141, 6745, 21146, 368, 223, 315, 4373, 1347, 558, 6088, 1919, 798, 803, 370, 2460, 1261, 274, 913, 17636, 1005, 3786, 21146, 740, 223, 315, 4373, 377, 442, 21327, 483, 17589, 566, 6094, 1563, 22483, 821, 28, 821, 342, 635, 33, 14, 3786, 3769, 12485, 450, 5031, 5434, 2213, 1682, 411, 2003, 7776, 285, 2188, 86, 1145, 4012, 597, 1491, 3168, 5364, 1919, 448, 2328, 2052, 4049, 9992, 620, 922, 632, 1095, 1314, 1387, 4133, 263, 1141, 6745, 15522, 223, 315, 4373, 3356, 1345, 12238, 1919, 2179, 1745, 1847, 2639, 656, 3437, 17589, 1834, 1992, 81, 1599, 2589, 2209, 620, 5856, 450, 519, 566, 1834, 15583, 14, 1482, 262, 77, 287, 3964, 309, 287, 87, 285, 309, 3436, 5950, 8225, 2787, 3593, 8058, 368, 620, 4365, 1919, 3788, 1507, 436, 287, 87, 285, 309, 1672, 1345, 9173, 8297, 7127, 2915, 582, 28, 812, 2104, 2007, 368, 445, 342, 551, 10437, 15819, 368, 3816, 2036, 734, 33, 3640, 3786, 21146, 5031, 5434, 6848, 1814, 2012, 2103, 1091, 21327, 483, 68, 566, 1079, 1574, 1550, 370, 1540, 820, 489, 1582, 2654, 377, 271, 765, 450, 75, 5604, 69, 343, 835, 21327, 483, 11409, 87, 448, 879, 1866, 3395, 564, 571, 450, 2990, 2235, 368, 803, 9107, 2069, 2300, 748, 14, 2733, 2054, 15522, 3786, 1833, 953, 3786, 2202, 1682, 24665, 1737, 33, 3184, 454, 1108, 620, 972, 1244, 2990, 4936, 1257, 24651, 1091, 1814, 411, 2003, 7776, 740, 287, 3964, 309, 16459, 3075, 1154, 479, 368, 3854, 1649, 4348, 4298, 1302, 2088, 3224, 2399, 1834, 71, 6537, 83, 75, 377, 479, 16443, 442, 2915, 14, 3738, 287, 87, 263, 1141, 6745, 2448, 67, 2602, 11150, 3964, 7291, 7108, 900, 397, 2775, 849, 582, 28, 5719, 1574, 3437, 3327, 9172, 352, 519, 566, 1219, 4700, 483, 1672, 3786, 1833, 953, 450, 223, 315, 4373, 7291, 1649, 4348, 1424, 655, 7236, 1689, 4589, 75, 489, 3573, 2235, 11670, 10694, 14, 884, 733, 11670, 10694, 1424, 397, 1613, 16, 2448, 68, 2602, 285, 309, 19, 287, 3964, 309, 847, 1952, 290, 309, 6961, 258, 79, 724, 1838, 1659, 2514, 1655, 1108, 2927, 2729, 1037, 24225, 724, 13681, 1091, 352, 1448, 15727, 4989, 18608, 3917, 21327, 483, 10159, 308, 414, 4980, 482, 649, 993, 646, 1645, 521, 1523, 368, 1834, 87, 1166, 418, 16024, 287, 3964, 309, 276, 315, 4086, 1833, 953, 5031, 5434, 740, 3769, 1685, 21327, 483, 11409, 87, 18012, 303, 658, 1424, 1834, 71, 6537, 83, 75, 352, 1834, 71, 856, 1491, 12430, 740, 6655, 21327, 483, 316, 16, 2202, 1682, 10153, 5577, 7291, 12238, 5364, 582, 28, 6077, 13011, 2695, 681, 5425, 1357, 5843, 1108, 1280, 342, 2183, 849, 14, 1833, 953, 4086, 1869, 1783, 2533, 6456, 287, 3964, 309, 21327, 483, 1162, 10631, 75, 766, 551, 3812, 1639, 2380, 2050, 521, 436, 3352, 352, 436, 1502, 738, 2706, 720, 415, 4343, 1448, 7544, 16, 1672, 18790, 1362, 9327, 3746, 761, 3895, 1265, 2480, 582, 768, 534, 1357, 458, 14, 534, 500, 3174, 1523, 7477, 3563, 615, 436, 448, 6163, 6576, 14, 1187, 1645, 632, 287, 87, 263, 1141, 6745, 1821, 9141, 263, 1141, 6745, 4967, 342, 1280, 757, 1510, 415, 532, 798, 15483, 4711, 1370, 489, 1254, 482, 932, 3786, 2202, 1682, 2202, 1682, 21327, 483, 6918, 81, 798, 4844, 75, 551, 640, 1525, 803, 397, 1613, 14, 13248, 4881, 1447, 287, 87, 263, 1141, 6745, 303, 554, 8387, 287, 3964, 309, 12978, 724, 5515, 656, 1801, 521, 1057, 3987, 5844, 295, 6848, 1905, 2804, 24881, 1792, 7291, 7108, 900, 397, 2775, 849, 582, 28, 812, 4225, 436, 2695, 3452, 1397, 1988, 1230, 2227, 3037, 500, 2428, 9729, 934, 454, 1069, 1773, 1839, 1692, 14, 287, 3964, 309, 24, 2935, 3399, 3539, 285, 309, 1477, 4365, 1919, 2066, 733, 2660, 757, 640, 352, 1424, 821, 489, 3573, 2235, 3136, 2637, 3786, 6848, 223, 315, 4373, 3557, 2340, 15161, 821, 14, 1319, 567, 529, 409, 1286, 879, 1357, 821, 14, 10487, 352, 724, 18422, 79, 368, 821, 14, 846, 2202, 1682, 1209, 268, 1847, 71, 411, 2003, 7776, 15522, 2214, 3638, 448, 3325, 1035, 814, 3324, 8221, 482, 660, 490, 454, 1280, 757, 1510, 607, 1682, 397, 803, 1482, 21146, 450, 5031, 5434, 21327, 483, 68, 566, 28, 5950, 12486, 1199, 5293, 2230, 382, 964, 3310, 2540, 1834, 71, 6537, 83, 75, 14, 920, 1814, 411, 2003, 7776, 1831, 3167, 786, 975, 6163, 1447, 656, 2872, 2614, 427, 273, 1916, 1919, 370, 479, 2246, 3368, 2111, 1849, 368, 993, 1198, 993, 646, 3848, 1268, 489, 532, 4086, 1869, 287, 87, 263, 1141, 6745, 21327, 483, 316, 11051, 293, 604, 740, 3378, 2725, 489, 2111 ]
[ 1, 4653, 3786, 442, 1833, 953, 740, 223, 315, 4373, 19316, 1345, 1919, 582, 28, 3495, 733, 691, 342, 2827, 906, 1230, 1783, 3539, 377, 370, 2616, 993, 16, 1833, 953, 1181, 450, 5031, 5434, 3168, 5364, 1919, 1424, 703, 1166, 1992, 1491, 906, 2367, 1755, 821, 2695, 14, 3786, 1833, 953, 10381, 2161, 287, 3964, 309, 3168, 5364, 1919, 1424, 519, 566, 1834, 15583, 7081, 266, 769, 265, 605, 1599, 740, 5290, 18433, 5534, 2380, 2050, 1682, 287, 3964, 309, 15839, 4087, 4839, 1919, 1091, 3682, 656, 766, 2802, 4101, 3338, 382, 964, 3568, 14, 920, 1682, 1036, 86, 4692, 411, 745, 5619, 1988, 1230, 519, 659, 86, 1919, 4049, 9992, 28, 6077, 3473, 821, 2066, 19261, 382, 295, 509, 263, 1141, 6745, 1997, 2602, 68, 21327, 483, 11409, 87, 10874, 1199, 489, 2584, 821, 28, 812, 1241, 860, 1303, 14, 15517, 1834, 71, 1692, 14, 415, 1833, 953, 1181, 450, 223, 315, 4373, 3767, 1039, 2872, 2614, 1556, 2773, 15522, 9173, 8297, 7127, 2915, 582, 28, 812, 2104, 2007, 368, 445, 342, 551, 10437, 15819, 368, 3816, 2036, 734, 3694, 223, 315, 1094, 377, 4086, 442, 21146, 21327, 483, 68, 566, 1079, 1574, 1550, 370, 1540, 820, 489, 1582, 2654, 377, 14, 1659, 1556, 2773, 287, 3964, 309, 287, 3964, 309, 1146, 1618, 298, 21327, 483, 70, 414, 978, 8259, 2927, 352, 2605, 572, 5328, 821, 287, 87, 4193, 5943, 3168, 5364, 1919, 720, 13421, 1037, 1198, 934, 368, 436, 2435, 703, 2802, 3338, 11909, 3602, 14, 2202, 1682, 2202, 1682, 2202, 1682, 411, 745, 651, 4602, 3917, 1057, 1509, 2494, 1037, 17446, 2235, 16456, 12837, 2506, 761, 368, 20162, 570, 16938, 4238, 572, 1525, 1639, 2807, 2649, 1737, 7745, 287, 87, 2804, 7291, 1872, 1886, 4936, 1257, 1424, 821, 28, 821, 377, 615, 2925, 2334, 2135, 33, 14, 920, 1634, 1434, 411, 2003, 7776, 287, 87, 263, 1141, 6745, 1672, 263, 1141, 6745, 296, 11083, 5782, 685, 3168, 5364, 1919, 2209, 442, 879, 797, 4343, 1448, 940, 1520, 2620, 685, 4116, 285, 309, 287, 87, 285, 309, 21327, 483, 76, 1797, 21616, 4023, 483, 28, 342, 397, 436, 2435, 703, 879, 1849, 4450, 14, 6848, 1869, 9489, 1833, 953, 4086, 1869, 223, 315, 4373, 427, 1532, 9624, 482, 724, 4389, 12965, 397, 11191, 79, 955, 382, 395, 16, 18790, 1362, 287, 87, 263, 1141, 6745, 7291, 7108, 1424, 1312, 3171, 1834, 75, 14, 436, 6253, 21785, 2399, 436, 728, 589, 1837, 228, 2300, 16024, 343, 506, 293, 2262, 287, 3964, 309, 263, 1141, 6745, 1672, 18790, 1362, 9327, 3746, 761, 287, 87, 285, 309, 21146, 21327, 483, 1312, 75, 87, 377, 271, 1453, 3806, 3011, 3756, 1181, 4936, 1257, 632, 646, 2019, 1737, 368, 724, 1520, 24249, 3104, 15872, 16, 2620, 685, 4116, 285, 309, 287, 87, 3168, 5364, 1919, 582, 28, 1592, 370, 479, 1100, 442, 8917, 3135, 3713, 368, 1522, 436, 2435, 703, 454, 5257, 3331, 14, 1036, 2348, 2602, 15252, 18790, 263, 616, 411, 24650, 68, 287, 87, 285, 309, 23976, 8621, 2611, 11817, 2245, 521, 635, 1219, 685, 1834, 1797, 8542, 483, 448, 582, 454, 906, 2695, 1833, 953, 3786, 21146, 21327, 483, 1312, 75, 506, 582, 397, 920, 4120, 9558, 352, 5273, 10369, 14, 884, 620, 922, 6597, 2632, 748, 2649, 1639, 14, 450, 75, 285, 566, 15522, 21146, 450, 5031, 5434, 12978, 724, 5515, 656, 1801, 521, 1057, 3987, 5844, 295, 276, 80, 70, 12658, 6163, 3545, 77, 10361, 3045, 4082, 5070, 10153, 3593, 1919, 2066, 649, 6926, 1071, 8183, 11975, 16, 4086, 1869, 1833, 953, 3769, 1685, 920, 2872, 2614, 1556, 2773, 3767, 1039, 740, 1783, 2533, 427, 843, 4298, 1919, 448, 5111, 1902, 6655, 3682, 860, 1015, 656, 615, 5586, 299, 71, 2490, 26, 461, 1175, 2586, 1334, 1919, 370, 479, 6234, 1512, 1110, 946, 2139, 489, 397, 5872, 12965, 6835, 14, 3786, 6848, 266, 597, 2935, 1482, 21146, 450, 5031, 5434, 6727, 1257, 14, 21327, 483, 1312, 75, 87, 691, 10955, 4082, 3139, 448, 442, 2480, 2129, 454, 1563, 1834, 71, 6537, 83, 75, 728, 489, 660, 1069, 1525, 1639, 482, 660, 734, 16, 415, 1362, 454, 285, 8920, 654, 998, 7291, 7108, 3211, 706, 897, 1086, 3997, 1574, 24359, 1219, 1214, 14, 2872, 2614, 1556, 2773, 223, 315, 4373, 920, 4881, 1447, 637, 287, 87, 263, 1141, 6745, 2806, 7108, 1919, 5273, 293, 1744, 79, 656, 1634, 768, 509, 733, 342, 521, 2179, 1582, 8081, 1391, 16, 1833, 953, 740, 1783, 2533, 12790, 1448, 657, 3425, 12975, 448, 7546, 572, 1037, 509, 1134, 370, 1095, 2266, 1134, 370, 2266, 14, 920, 1682, 263, 1141, 6745, 2561, 3462, 1831, 3167, 1892, 1608, 1814, 411, 2003, 7776, 3168, 5364, 1919, 3325, 1035, 646, 1866, 3425, 2066, 303, 1895, 382, 295, 1280, 1037, 6848, 1181, 1682, 740, 1783, 2533, 3425, 2007, 1919, 3856, 1257, 3051, 3303, 482, 1667, 19301, 14, 2990, 2235, 917, 3602, 274, 4002, 1424, 18238, 6768, 5647, 16024, 18790, 1756, 287, 3964, 309, 2202, 1682, 370, 479, 1682, 489, 532, 21327, 483, 68, 566, 4980, 482, 448, 720, 4881, 1675, 2111, 1534, 14, 740, 3945, 1834, 71, 6537, 83, 75, 6566, 7962, 14, 1755, 482, 377, 479, 1377, 442, 1154, 479, 620, 14, 1834, 71, 6537, 83, 75, 448, 8055, 458, 665, 2052, 16, 1576, 720, 5031, 5434, 461, 1175, 2586, 1334, 1919, 370, 479, 6234, 1512, 1110, 946, 2139, 489, 397, 5872, 12965, 6835, 14, 9489, 15522, 287, 3964, 309, 25, 1274, 11170, 1015, 656, 821, 2007, 1919, 1512, 940, 14, 821, 922, 448, 2872, 397, 2593, 6835, 13948, 9554, 1919, 766, 5111, 14218, 2328, 2649, 411, 22530, 21, 79, 8684, 570, 80, 2793, 11108, 1287, 757, 2376, 521, 1735, 3045, 13816, 7735, 12250, 271, 2608, 14, 5604, 1821, 7174, 685, 3917, 1838, 592, 79, 1230, 2448, 2336, 26, 276, 315, 11499, 9930, 1248, 1706, 482, 409, 448, 571, 656, 409, 2756, 692, 821, 922, 2202, 1682, 1682, 2202, 8158, 2514, 342, 1319, 567, 632, 411, 3752, 16, 4588, 1829, 1039, 3910, 368, 11082, 7234, 14, 343, 769, 337, 1188, 352, 7765, 17839, 3352, 482, 1286, 1640, 1035, 411, 3752, 16, 5727, 397, 651, 436, 293, 609, 13815, 352, 377, 1483, 837, 635, 615, 21146, 10959, 1005, 798, 458, 740 ]
[ 1, 279, 1329, 285, 8920, 654, 998, 21327, 483, 316, 377, 479, 3167, 454, 1095, 2826, 482, 932, 1833, 953, 740, 1783, 2533, 3168, 5364, 1919, 2209, 442, 879, 797, 4343, 1448, 940, 1520, 14, 920, 2107, 1833, 953, 1783, 2533, 1618, 298, 2123, 2602, 18790, 1362, 4602, 3917, 21327, 483, 11409, 87, 615, 1108, 906, 1015, 656, 1834, 71, 6537, 83, 75, 615, 804, 1935, 5457, 3559, 16, 1459, 3963, 3786, 1833, 953, 450, 5031, 5434, 21327, 483, 68, 566, 637, 5161, 1265, 1362, 368, 1834, 71, 6537, 83, 75, 564, 665, 377, 1314, 14, 2872, 2371, 287, 87, 263, 1141, 6745, 274, 6072, 1520, 1170, 287, 3964, 309, 21327, 483, 528, 7236, 649, 448, 2158, 4875, 1868, 1576, 1953, 454, 812, 5352, 388, 8211, 223, 4759, 546, 4193, 795, 3862, 24056, 4, 3786, 11218, 1841, 298, 3184, 5176, 415, 290, 765, 352, 993, 1829, 3346, 87, 1448, 1246, 665, 4713, 1448, 2139, 14, 692, 1387, 1419, 411, 2003, 7776, 6848, 285, 566, 287, 3964, 309, 21327, 483, 68, 566, 1079, 1574, 1550, 370, 1540, 820, 489, 1582, 2654, 377, 3786, 6848, 3786, 23976, 461, 2349, 3183, 16205, 11176, 3183, 23976, 18912, 3183, 2467, 9374, 2323, 33, 2560, 2560, 14, 287, 3964, 309, 2465, 7776, 1146, 70, 11595, 2729, 368, 1857, 2994, 1774, 442, 1210, 2130, 1541, 397, 2166, 12936, 4989, 411, 2003, 343, 5313, 15522, 15161, 821, 14, 1319, 567, 529, 409, 1286, 879, 1357, 821, 14, 10487, 352, 724, 18422, 79, 368, 821, 14, 263, 1141, 6745, 1997, 2602, 68, 1250, 3268, 411, 745, 651, 4602, 7669, 906, 1988, 1230, 17446, 2235, 2787, 5577, 465, 3125, 368, 620, 4365, 1919, 2066, 2088, 3224, 342, 266, 520, 14434, 454, 5003, 9135, 16, 3786, 21146, 287, 3964, 309, 7291, 9591, 1649, 4348, 551, 782, 2381, 482, 932, 14, 377, 370, 1194, 635, 2118, 572, 16024, 377, 4086, 442, 21146, 740, 223, 315, 4373, 411, 745, 651, 4602, 3917, 4607, 1057, 1108, 3425, 3437, 286, 87, 5653, 12807, 22873, 1563, 3997, 656, 551, 2373, 4635, 651, 271, 80, 2114, 3602, 33, 4293, 370, 479, 2559, 2543, 2717, 4892, 1941, 1259, 489, 436, 1682, 3524, 740, 4644, 814, 5374, 2202, 1682, 377, 33, 14, 651, 651, 271, 68, 3786, 2012, 2103, 1091, 795, 2744, 436, 1919, 2066, 766, 5111, 263, 792, 261, 1091, 11165, 3624, 5534, 640, 2660, 651, 2706, 3168, 5364, 1919, 3325, 1035, 646, 1866, 3425, 2066, 303, 1895, 382, 295, 1280, 1037, 14, 223, 315, 4373, 377, 665, 442, 21146, 920, 1682, 411, 2003, 7776, 4480, 377, 4267, 2019, 564, 5429, 5530, 1270, 1460, 2776, 2075, 482, 660, 490, 287, 87, 285, 8920, 654, 998, 21327, 483, 528, 7236, 649, 448, 2158, 4875, 1868, 1576, 1953, 454, 812, 5352, 388, 8211, 223, 4759, 546, 4193, 795, 3862, 24056, 3640, 920, 2872, 2614, 1520, 1170, 287, 87, 263, 1141, 6745, 411, 745, 5619, 1988, 1230, 6328, 2225, 1798, 368, 4622, 21327, 483, 91, 483, 342, 7219, 6104, 368, 534, 15625, 14, 397, 786, 17687, 9817, 6547, 1520, 368, 461, 286, 1951, 920, 2107, 14360, 1556, 2773, 287, 3964, 309, 5950, 387, 103, 1919, 6703, 1302, 10647, 15869, 415, 532, 1448, 17636, 906, 3919, 5769, 4964, 17243, 3786, 411, 2003, 7776, 740, 2108, 1735, 411, 745, 651, 4602, 3917, 1988, 1230, 461, 659, 2915, 740, 7448, 1391, 821, 2007, 1919, 358, 1255, 15399, 748, 1037, 287, 3964, 309, 20413, 17446, 2729, 368, 821, 692, 5364, 1919, 720, 6843, 6451, 2695, 1592, 1424, 798, 5737, 3104, 2158, 14493, 3966, 3310, 920, 3786, 1833, 953, 740, 2161, 450, 223, 315, 4373, 18790, 263, 616, 411, 24650, 68, 287, 87, 285, 309, 4967, 377, 589, 342, 1280, 757, 1510, 5613, 1455, 7486, 615, 782, 564, 1287, 8215, 271, 2602, 285, 309, 17446, 2927, 2729, 3963, 3520, 352, 11904, 3540, 368, 620, 4365, 1919, 6500, 740, 4101, 3338, 368, 21327, 483, 1312, 75, 87, 14, 920, 2872, 2614, 2589, 3361, 2561, 3462, 296, 11083, 5782, 685, 263, 1141, 6745, 1592, 448, 1305, 798, 3447, 5399, 2300, 397, 920, 377, 479, 1559, 1357, 442, 656, 409, 766, 1448, 975, 24456, 1919, 2380, 2050, 920, 1814, 411, 2003, 7776, 15522, 1831, 3167, 1477, 4365, 2107, 2235, 352, 1287, 1801, 8917, 2915, 368, 1834, 71, 6537, 83, 75, 16024, 920, 665, 1447, 411, 2003, 7776, 920, 1814, 411, 745, 651, 4602, 7669, 740, 287, 3964, 309, 3193, 6553, 403, 113, 757, 572, 1639, 352, 10874, 665, 1391, 1312, 75, 503, 2548, 418, 1108, 1280, 16, 8661, 2602, 299, 82, 77, 9516, 1141, 352, 521, 436, 728, 448, 2019, 1737, 637, 1324, 236, 6907, 78, 1402, 766, 2962, 509, 14, 2202, 1682, 1181, 740, 5031, 5434, 1814, 285, 566, 985, 75, 978, 414, 11900, 7291, 6441, 477, 28, 2073, 589, 733, 342, 2270, 81, 4950, 370, 1434, 2938, 860, 33, 2872, 2614, 2589, 3361, 15522, 287, 87, 263, 1141, 6745, 720, 1287, 20162, 91, 1259, 2661, 2799, 901, 1021, 323, 815, 489, 521, 3306, 920, 1849, 4450, 1250, 3268, 411, 24650, 68, 287, 87, 285, 309, 1364, 7898, 454, 287, 3964, 309, 4284, 3887, 1919, 7793, 14952, 2605, 4993, 1902, 940, 1245, 489, 397, 539, 240, 1448, 920, 3786, 6848, 3557, 2340, 740, 223, 315, 4373, 21327, 483, 68, 566, 637, 5161, 1265, 1362, 368, 1834, 71, 6537, 83, 75, 564, 665, 377, 1314, 14, 1833, 953, 4086, 1869, 1783, 2533, 296, 11083, 262, 1589, 82, 411, 85, 17446, 2729, 368, 821, 692, 5364, 1919, 720, 6843, 6451, 2695, 1592, 1424, 798, 5737, 3104, 2158, 14493, 3966, 3310, 665, 6848, 285, 4080, 21327, 483, 19649, 81, 649, 2872, 3416, 2614, 571, 738, 1057, 1108, 368, 906, 1988, 1230, 14, 6848, 5604, 69, 343, 835, 296, 11083, 5782, 685, 3786, 6848, 632, 223, 315, 1094, 15839, 4087, 4839, 1919, 2066, 20109, 1424, 2589, 2209, 856, 3171, 13910, 740, 23360, 1834, 71, 6537, 83, 75, 16, 287, 87, 285, 309, 3291, 10192, 2188, 81, 14, 436, 448, 2019, 1737, 1902, 4839, 2129, 454, 797, 695, 14, 1512, 940, 1231, 640, 740, 660, 1069, 490, 14, 1892, 1608, 1814, 411, 2003, 7776, 287, 3964, 309, 274, 6072, 276, 483, 287, 87, 21327, 483, 6918, 81, 1424, 821, 922, 352, 795, 1491, 856, 298, 656, 534 ]
[ 1, 8739, 18790, 1362, 8158, 2514, 632, 1935, 1448, 17636, 1269, 6725, 2091, 33, 274, 6072, 287, 3964, 309, 3769, 1685, 19607, 482, 5043, 11057, 2349, 14, 436, 448, 720, 5389, 757, 1541, 14661, 1434, 2409, 1316, 2036, 352, 24933, 3658, 5826, 1084, 427, 1679, 5445, 4910, 84, 86, 1267, 14, 287, 87, 263, 1141, 6745, 3786, 263, 1141, 6745, 1005, 761, 4588, 1829, 1039, 3910, 482, 3437, 286, 87, 5653, 12807, 352, 1219, 685, 21327, 483, 86, 414, 1286, 4032, 1054, 20162, 570, 16938, 6518, 67, 2804, 13352, 2938, 6869, 657, 397, 3136, 1916, 1919, 448, 1448, 342, 1057, 409, 448, 3659, 6683, 528, 2891, 3171, 564, 1377, 2695, 14, 1798, 81, 1814, 411, 2003, 7776, 287, 3964, 309, 274, 6072, 3786, 287, 3964, 309, 7291, 7108, 1574, 28, 1219, 685, 1834, 1797, 8542, 483, 448, 6456, 482, 660, 734, 33, 6848, 4612, 337, 1405, 9327, 3746, 21327, 483, 20489, 11721, 757, 28, 532, 2569, 1108, 651, 14, 5604, 69, 343, 835, 296, 685, 2616, 685, 1653, 566, 920, 13248, 1447, 287, 3964, 309, 17064, 1239, 917, 1199, 368, 21327, 483, 316, 448, 4503, 640, 454, 13939, 1694, 1944, 16, 864, 1050, 4881, 1447, 287, 3964, 309, 21327, 483, 1312, 75, 87, 1305, 798, 979, 589, 1559, 1357, 450, 1834, 71, 856, 1491, 12430, 28, 15161, 3128, 1834, 71, 856, 1491, 12430, 448, 3459, 4379, 450, 409, 665, 1245, 1834, 71, 856, 1491, 12430, 14, 287, 3964, 309, 370, 1652, 1185, 377, 271, 1792, 2602, 285, 309, 21327, 483, 1312, 75, 87, 1269, 377, 2639, 6456, 352, 582, 28, 4293, 798, 458, 1357, 532, 2501, 5604, 1821, 1563, 3695, 592, 79, 1230, 17446, 2927, 2729, 3963, 3520, 352, 11904, 3540, 368, 620, 4365, 1919, 6500, 740, 4101, 3338, 368, 21327, 483, 1312, 75, 87, 14, 3786, 21146, 632, 223, 315, 4373, 846, 287, 87, 2602, 26, 11499, 9930, 1248, 1706, 482, 409, 448, 571, 656, 409, 2756, 692, 821, 922, 3786, 287, 87, 263, 1141, 6745, 740, 223, 315, 3168, 5364, 1919, 1599, 2066, 2007, 9552, 6089, 607, 1941, 951, 1448, 1788, 14, 287, 87, 305, 6526, 483, 1482, 1833, 953, 5031, 5434, 15522, 9432, 993, 1200, 14, 2111, 2756, 692, 368, 21327, 483, 68, 566, 3211, 706, 377, 479, 3742, 6132, 646, 1602, 1839, 368, 10142, 2112, 16, 3786, 1833, 953, 740, 3769, 1685, 3168, 5364, 1919, 377, 691, 3538, 5577, 28, 2073, 691, 1194, 635, 766, 2118, 572, 14, 6848, 9327, 3746, 761, 287, 3964, 309, 14360, 1556, 2773, 427, 843, 4298, 1919, 798, 1834, 71, 6537, 83, 75, 1964, 572, 397, 2166, 5999, 15112, 2480, 24826, 352, 274, 1407, 274, 7307, 6848, 263, 1141, 6745, 2561, 3462, 7291, 1649, 4348, 1424, 655, 7236, 1689, 4589, 75, 489, 3573, 2235, 11670, 10694, 14, 884, 733, 11670, 10694, 1424, 397, 1613, 16024, 411, 85, 3917, 920, 3786, 1833, 953, 2139, 761, 16679, 651, 2376, 572, 377, 3208, 14, 5782, 370, 16891, 2269, 1821, 489, 1613, 1005, 22173, 867, 588, 884, 649, 377, 589, 342, 1540, 820, 1199, 16, 287, 3964, 309, 343, 88, 3216, 21327, 483, 11409, 87, 18012, 303, 658, 1424, 1834, 71, 6537, 83, 75, 352, 1834, 71, 856, 1491, 12430, 740, 6655, 21327, 483, 316, 16024, 287, 3964, 309, 1787, 2308, 6848, 1814, 2012, 15522, 1376, 1447, 1391, 3168, 5364, 1919, 2139, 4083, 2531, 1833, 352, 582, 28, 4293, 833, 582, 768, 13816, 623, 17483, 370, 521, 724, 1553, 728, 1403, 14, 589, 377, 33, 3786, 3769, 12485, 450, 5031, 5434, 3786, 415, 2202, 1682, 8158, 2514, 342, 1319, 567, 632, 411, 3752, 16, 4588, 1829, 1039, 3910, 368, 11082, 7234, 14, 343, 769, 337, 1188, 352, 7765, 17839, 3352, 482, 1286, 1640, 1035, 411, 3752, 16, 5727, 397, 651, 436, 293, 609, 13815, 352, 377, 1483, 837, 635, 615, 21146, 10959, 1005, 798, 458, 740, 13165, 16, 6568, 377, 3806, 14, 656, 534, 1424, 798, 458, 14, 651, 5398, 448, 342, 314, 16, 411, 745, 651, 5051, 7164, 1988, 1035, 1682, 6848, 3769, 1685, 740, 5031, 5434, 2073, 589, 1613, 734, 2674, 1774, 649, 1183, 454, 10335, 303, 267, 368, 3682, 1245, 1833, 953, 21146, 9432, 2361, 1305, 368, 724, 2215, 4298, 1919, 14, 458, 442, 2184, 1788, 683, 364, 28, 11170, 567, 656, 409, 582, 489, 532, 740, 5031, 5434, 4186, 6848, 287, 3964, 309, 21327, 483, 6918, 81, 1424, 821, 922, 352, 795, 1491, 856, 298, 656, 534, 3474, 607, 920, 1682, 285, 8920, 654, 998, 3167, 3193, 5229, 5293, 2230, 2625, 454, 4287, 1563, 436, 1165, 551, 21469, 1491, 1834, 75, 14, 287, 87, 285, 309, 20935, 1672, 1345, 8766, 1187, 1157, 1839, 352, 1265, 1362, 1157, 1892, 1640, 1105, 1682, 482, 660, 490, 342, 879, 4267, 2019, 16, 287, 3964, 309, 720, 4828, 7291, 7108, 370, 397, 4082, 1305, 879, 1849, 632, 3132, 3113, 16024, 11671, 358, 414, 3786, 6848, 287, 87, 263, 1141, 6745, 427, 843, 4298, 1919, 649, 1287, 757, 1345, 934, 607, 10547, 454, 5586, 704, 1319, 1257, 342, 656, 458, 766, 740, 1553, 21146, 450, 223, 315, 4373, 23316, 3338, 22676, 4298, 740, 436, 2593, 3854, 2067, 482, 397, 1735, 20896, 3045, 442, 10942, 775, 3380, 1541, 6584, 14, 9352, 285, 309, 299, 87, 4186, 5031, 5434, 3168, 5364, 1919, 377, 833, 2428, 572, 975, 1507, 368, 760, 4269, 815, 397, 1280, 1201, 14, 905, 932, 821, 922, 448, 1695, 2605, 4993, 1902, 786, 287, 3964, 309, 3436, 503, 3283, 6576, 368, 972, 2007, 3466, 3638, 733, 2126, 3353, 342, 4343, 6576, 2430, 3323, 761, 657, 821, 922, 1768, 1100, 442, 14, 6848, 263, 1141, 6745, 296, 11083, 5782, 685, 920, 3786, 274, 6072, 632, 1783, 2533, 643, 3304, 1455, 7486, 1599, 724, 8215, 665, 1210, 3786, 397, 920, 2424, 3540, 343, 506, 293, 2262, 287, 87, 285, 309, 19316, 2224, 1919, 582, 489, 519, 566, 1834, 15583, 768, 1194, 368, 906, 1988, 1230, 500, 551, 640, 1988, 1230, 14, 3786, 6848, 2533, 814, 1198, 5031, 5434, 3168, 5364, 1919, 3742, 620, 640, 352, 582, 28, 5024, 1716, 3795, 3945, 728, 1403, 607, 3786, 21146, 287, 87, 1814, 411, 745, 651, 7291, 692, 5364, 387, 107, 4120, 28, 7596, 450, 768, 445, 837, 1383, 860, 33, 352, 14, 2202, 1682 ]
[ 1, 77, 3964, 309, 720, 19989, 21327, 483, 11409, 87, 20109, 1424, 1834, 71, 6537, 83, 75, 14, 436, 766, 370, 397, 2145, 1095, 1314, 2328, 2649, 489, 521, 436, 532, 551, 1245, 2799, 901, 4698, 903, 16, 285, 8920, 654, 998, 2561, 3462, 5803, 3403, 1592, 377, 691, 1210, 3443, 436, 448, 571, 5450, 1705, 821, 922, 482, 1834, 87, 76, 3171, 551, 12733, 76, 835, 1037, 782, 16024, 1036, 453, 418, 271, 68, 285, 4080, 6848, 2012, 427, 843, 1919, 4881, 9900, 1233, 1387, 1902, 1370, 3192, 20843, 757, 1448, 276, 300, 343, 506, 293, 2262, 287, 3964, 309, 263, 1141, 6745, 9527, 1345, 12238, 1919, 28, 8846, 1230, 370, 436, 820, 1512, 1599, 532, 615, 15708, 2524, 795, 9172, 72, 506, 14, 1562, 411, 2003, 7776, 287, 3964, 309, 920, 564, 4584, 1239, 1783, 2533, 8766, 1441, 2275, 368, 4713, 1448, 342, 985, 646, 1326, 2054, 368, 1690, 2541, 342, 1829, 1039, 3802, 16, 864, 2213, 1814, 411, 2003, 7776, 15522, 4588, 2593, 20738, 448, 571, 738, 377, 6566, 7962, 564, 1891, 640, 521, 4343, 6576, 665, 906, 1057, 1108, 1015, 3995, 3033, 4235, 16024, 3786, 6848, 8661, 2602, 276, 298, 8661, 2602, 3514, 511, 263, 1141, 6745, 3168, 5364, 1919, 993, 646, 766, 2802, 397, 2166, 3338, 22676, 22033, 67, 2787, 4618, 1239, 724, 21336, 2380, 2050, 2872, 2614, 7291, 9591, 1649, 4348, 551, 782, 2381, 482, 932, 14, 377, 370, 1194, 635, 2118, 572, 16024, 287, 87, 287, 87, 19290, 10119, 415, 6848, 740, 1783, 2533, 1181, 17446, 2235, 2787, 5577, 465, 3125, 368, 620, 4365, 1919, 2066, 2088, 3224, 342, 266, 520, 14434, 454, 5003, 9135, 16, 2872, 2371, 287, 3964, 309, 740, 1412, 1419, 19670, 972, 500, 377, 4552, 1100, 3181, 3935, 352, 1891, 640, 1248, 2172, 757, 1510, 704, 2114, 761, 409, 370, 479, 1148, 953, 567, 1108, 2729, 14, 1682, 263, 1141, 6745, 2561, 3462, 733, 370, 6456, 377, 479, 3786, 1833, 953, 740, 223, 315, 4373, 624, 841, 1391, 368, 821, 2007, 1919, 377, 4073, 1479, 1376, 14, 1280, 734, 821, 922, 649, 10874, 1091, 352, 582, 28, 812, 3577, 6703, 2303, 14, 5720, 941, 856, 1491, 90, 3171, 17220, 660, 1692, 1814, 2012, 2103, 1091, 21327, 483, 316, 14, 534, 448, 1801, 8215, 2779, 551, 2942, 955, 1755, 509, 14, 343, 88, 21, 948, 287, 87, 1274, 10119, 2776, 90, 22, 70, 21327, 483, 11409, 87, 2139, 4083, 571, 3802, 489, 532, 3870, 368, 821, 922, 704, 2179, 1745, 342, 656, 1298, 436, 1424, 798, 21327, 483, 11409, 87, 1838, 567, 656, 821, 922, 572, 1902, 786, 846, 358, 2877, 88, 315, 5371, 2317, 2224, 1599, 572, 1110, 6290, 1071, 8964, 1233, 368, 1021, 10174, 14, 411, 745, 651, 1057, 1509, 4602, 3917, 2872, 2371, 1302, 1400, 4006, 287, 3964, 309, 8158, 2514, 632, 1935, 1448, 17636, 1269, 6725, 2091, 33, 4086, 5031, 5434, 12083, 757, 1510, 21327, 483, 19649, 81, 2781, 3614, 4421, 3645, 3563, 368, 906, 1988, 1230, 14, 2873, 3416, 21146, 287, 11083, 1141, 6745, 370, 9372, 1847, 370, 2294, 1270, 519, 2893, 298, 14, 1434, 4622, 368, 1079, 985, 352, 2424, 3540, 14, 342, 397, 436, 2445, 1514, 1611, 368, 3319, 13544, 352, 724, 436, 16, 3786, 1833, 953, 3786, 6848, 17446, 2927, 2729, 3963, 3520, 352, 11904, 3540, 368, 620, 4365, 1919, 6500, 740, 4101, 3338, 368, 21327, 483, 1312, 75, 87, 14, 287, 87, 1997, 2602, 363, 2817, 7780, 1556, 12789, 87, 3193, 5229, 607, 632, 2416, 3370, 368, 2779, 489, 4078, 644, 2139, 6848, 450, 506, 21327, 483, 11409, 87, 448, 879, 1866, 3395, 564, 571, 450, 2990, 2235, 368, 803, 9107, 2069, 2300, 748, 14, 5985, 4201, 13248, 1280, 757, 287, 87, 3738, 7291, 12238, 5364, 582, 28, 6077, 13011, 2695, 681, 5425, 1357, 5843, 1108, 1280, 342, 2183, 849, 285, 309, 17466, 21327, 483, 11409, 87, 352, 1312, 10920, 1469, 377, 1357, 1268, 2501, 450, 521, 1105, 4658, 4416, 368, 415, 3367, 3729, 454, 12876, 2225, 16, 287, 87, 18080, 22129, 835, 1682, 411, 2003, 7776, 740, 2108, 6019, 4031, 368, 15450, 3142, 649, 979, 4410, 2918, 1916, 615, 5137, 1987, 287, 3964, 309, 1618, 298, 3193, 1553, 2019, 1737, 352, 5575, 8380, 1716, 1268, 649, 4503, 640, 14, 287, 87, 287, 87, 2804, 287, 3964, 309, 296, 11083, 262, 1589, 82, 3282, 2464, 1287, 757, 1448, 2938, 271, 2212, 3602, 3230, 748, 521, 436, 728, 2190, 906, 920, 665, 287, 3964, 309, 461, 716, 1919, 377, 1302, 8377, 657, 1434, 955, 382, 395, 5429, 2050, 1302, 16024, 5985, 4201, 13248, 1280, 757, 299, 2058, 2602, 13430, 3964, 2829, 2614, 571, 738, 368, 21327, 483, 19649, 81, 640, 442, 1599, 572, 1541, 1834, 87, 3382, 13248, 287, 3964, 309, 3168, 5364, 1919, 2139, 4083, 2531, 1833, 352, 582, 28, 4293, 833, 582, 768, 13816, 623, 17483, 370, 521, 724, 1553, 728, 1403, 14, 589, 377, 33, 14, 2872, 2371, 287, 87, 19290, 1682, 2202, 1682, 2202, 1682, 7671, 4261, 14991, 19349, 368, 821, 867, 6342, 1919, 6791, 489, 1667, 730, 120, 4186, 730, 120, 730, 120, 16, 1798, 81, 1814, 411, 2003, 7776, 7291, 17136, 87, 766, 3170, 5277, 888, 790, 1387, 551, 786, 14, 9135, 1201, 445, 500, 1599, 5277, 888, 790, 1387, 607, 1801, 16024, 411, 85, 893, 261, 468, 263, 1141, 6745, 1618, 298, 7291, 7108, 2915, 582, 28, 9225, 1314, 482, 932, 2227, 342, 2183, 849, 2695, 287, 83, 411, 745, 651, 2358, 1300, 3602, 33, 9516, 397, 901, 1244, 1364, 1108, 33, 18831, 454, 2358, 1300, 490, 370, 897, 571, 5521, 2358, 1300, 3602, 1201, 377, 33, 3895, 532, 370, 397, 1540, 820, 489, 757, 368, 532, 14, 532, 500, 342, 397, 340, 1797, 77, 14, 589, 377, 33, 14, 1004, 998, 450, 75, 5604, 69, 343, 835, 287, 3964, 309, 3813, 1556, 2773, 427, 843, 4298, 1919, 798, 1834, 71, 6537, 83, 75, 1964, 572, 397, 2166, 5999, 15112, 2480, 24826, 352, 274, 1407, 274, 7307, 2380, 2050, 1682, 287, 87, 263, 1141, 6745, 21327, 483, 70, 414, 978, 8259, 2927, 352, 2605, 572, 5328, 821, 14, 720, 14360, 1556, 2773, 287, 3964, 309, 920, 1814, 411, 2003, 7776, 287, 3964, 309, 3425, 972, 2007, 2915, 1559, 1357 ]
[ 1, 6333, 1682, 702, 644, 3045, 965, 4844, 6456, 637, 521, 1165, 1682, 702, 644, 2582, 1678, 500, 1502, 532, 3931, 442, 1801, 6632, 5418, 1613, 1682, 702, 9489, 262, 14832, 3045, 965, 1182, 761, 649, 482, 1703, 2999, 2770, 3167, 2196, 1091, 1431, 748, 16, 1905, 6019, 81, 702, 644, 3045, 965, 2397, 782, 500, 2182, 370, 2907, 450, 436, 1682, 1005, 16, 5024, 1747, 5084, 2653, 3103, 3, 1905, 920, 1682, 702, 644, 3045, 965, 4844, 6456, 979, 2245, 10834, 1738, 2397, 782, 500, 1502, 532, 1869, 9489, 1319, 3167, 14, 4383, 2324, 24256, 6632, 352, 2269, 6353, 720, 6456, 5058, 1447, 656, 1682, 702, 644, 3045, 965, 1035, 2108, 16, 377, 1869, 9489, 1079, 23026, 2227, 3037, 6077, 923, 69, 345, 15726, 1448, 15368, 457, 656, 657, 415, 532, 377, 1382, 1675, 1105, 2429, 1134, 377, 4663, 2088, 3224, 2247, 2019, 1105, 2429, 14, 370, 479, 532, 500, 1640, 9378, 511, 2190, 1154, 1300, 3593, 564, 1869, 9489, 16, 24533, 1270, 6456, 368, 415, 532, 879, 917, 16, 5761, 823, 905, 860, 640, 1866, 1869, 9489, 571, 635, 564, 849, 4298, 1563, 33, 415, 532, 733, 1119, 1869, 9489, 656, 448, 4663, 2227, 415, 1671, 287, 5408, 9489, 352, 2227, 3167, 14, 1977, 2245, 768, 1857, 906, 370, 1039, 3646, 287, 5408, 9489, 728, 1403, 352, 1613, 734, 415, 532, 649, 370, 479, 1869, 9489, 442, 16, 16492, 9378, 397, 287, 5408, 9489, 532, 1269, 897, 3010, 797, 287, 5408, 9489, 728, 14, 4844, 979, 589, 2565, 8223, 3113, 905, 397, 814, 377, 2227, 3037, 16, 5024, 691, 1582, 5007, 4267, 13398, 1165, 1682, 9489, 3045, 965, 2582, 1678, 1286, 450, 768, 1857, 906, 733, 1119, 1869, 2158, 1882, 1146, 3452, 1397, 905, 2565, 785, 1869, 748, 1201, 1383, 453, 1346, 532, 500, 4460, 665, 4827, 5372, 14, 377, 897, 4249, 2640, 564, 370, 1738, 1050, 1949, 14, 1854, 1079, 879, 2424, 720, 6456, 5058, 985, 397, 2832, 3544, 934, 16, 2615, 1690, 445, 1400, 582, 923, 1970, 597, 823, 10856, 457, 4844, 2830, 1012, 734, 14, 761, 342, 1157, 489, 702, 644, 3045, 965, 16, 5727, 397, 1012, 1747, 15798, 352, 4844, 691, 1582, 1069, 2266, 500, 2399, 415, 532, 1737, 1892, 2380, 14, 1447, 2209, 572, 823, 2114, 657, 6456, 823, 4267, 1110, 16, 21416, 9489, 2114, 884, 2227, 1448, 500, 1182, 748, 342, 1869, 4267, 1110, 657, 1286, 6456, 16, 9225, 1154, 1269, 897, 551, 3919, 1015, 14, 906, 2417, 352, 906, 1259, 1201, 14, 6956, 932, 1119, 532, 1303, 979, 7793, 3593, 1869, 9489, 1675, 454, 1988, 1230, 33, 888, 977, 1383, 1170, 879, 837, 2654, 8654, 702, 644, 3045, 965, 1831, 3167, 657, 532, 397, 9705, 589, 2245, 342, 589, 1377, 442, 4889, 1383, 14, 1383, 1170, 1675, 2111, 837, 2654, 14, 4889, 1383, 500, 1502, 415, 532, 2941, 3268, 790, 2013, 1838, 567, 454, 1370, 6857, 1316, 2196, 16, 17603, 5701, 1383, 1170, 500, 1502, 415, 532, 691, 442, 790, 2013, 1613, 734, 1119, 1869, 9489, 14, 1613, 734, 1119, 4881, 9900, 564, 3085, 1326, 370, 1721, 1447, 16, 21416, 572, 1069, 2266, 3167, 1567, 6456, 3393, 1316, 1049, 757, 1509, 3705, 1989, 635, 1286, 370, 397, 2461, 4220, 979, 2245, 342, 589, 370, 4503, 450, 738, 3167, 1567, 6456, 14, 442, 1567, 1737, 16, 21177, 567, 757, 1154, 2080, 9771, 14, 1682, 1447, 7092, 649, 932, 16, 3342, 920, 1682, 702, 644, 3045, 965, 4844, 6456, 823, 377, 479, 3182, 442, 16, 15980, 2245, 14, 3167, 9489, 1520, 1170, 786, 975, 4267, 2019, 1280, 2009, 342, 3167, 1919, 649, 500, 1831, 1182, 748, 342, 3167, 511, 1280, 352, 6456, 4267, 2019, 1280, 16, 24423, 2381, 1005, 3167, 823, 1211, 1815, 532, 448, 1737, 879, 797, 1037, 1684, 14, 3167, 397, 3452, 377, 479, 1502, 415, 532, 370, 11790, 657, 733, 1502, 415, 532, 9782, 640, 2773, 1447, 448, 1737, 14, 1134, 2990, 656, 2035, 479, 2183, 564, 9782, 16, 19840, 1400, 4006, 450, 2009, 342, 3167, 2114, 1269, 1502, 450, 5999, 1447, 1556, 415, 532, 5604, 558, 5604, 1710, 2381, 2449, 14, 377, 1562, 2526, 1086, 1447, 3932, 657, 897, 370, 11790, 16, 8766, 3167, 1483, 1983, 500, 1605, 2866, 415, 532, 2367, 1869, 9489, 3872, 1563, 748, 564, 370, 1882, 3485, 1447, 748, 884, 691, 1303, 640, 6456, 665, 2832, 21059, 14, 1737, 4298, 16, 6306, 1322, 4844, 370, 5007, 6456, 2158, 6353, 823, 415, 532, 500, 4218, 665, 692, 1105, 7256, 302, 1457, 640, 651, 1447, 448, 1737, 352, 2086, 1370, 532, 649, 720, 1737, 4298, 16, 6956, 932, 1286, 4844, 3088, 16, 3718, 905, 932, 14, 589, 14394, 572, 4503, 3167, 1567, 6456, 397, 920, 2088, 3224, 761, 656, 1682, 702, 9489, 3045, 965, 16, 15980, 607, 5162, 19929, 2380, 4181, 3624, 2565, 785, 448, 10143, 665, 11044, 415, 287, 5408, 9489, 352, 1305, 798, 1459, 3167, 370, 2294, 1270, 1431, 500, 2445, 632, 6353, 651, 823, 2860, 4321, 14011, 1869, 9489, 1525, 1684, 564, 442, 1397, 3167, 16, 681, 2212, 79, 1071, 342, 532, 2035, 4073, 1814, 924, 1654, 14, 782, 342, 397, 1397, 2075, 979, 646, 3366, 4214, 2381, 2449, 14, 1684, 342, 397, 1441, 2056, 879, 1181, 352, 3352, 482, 2114, 2830, 6078, 14, 415, 532, 879, 1119, 2632, 953, 16, 20014, 4724, 1447, 9489, 397, 920, 8296, 16576, 3184, 1798, 81, 702, 644, 3045, 965, 2182, 1181, 592, 3118, 450, 1165, 9489, 342, 589, 691, 920, 2174, 4724, 1447, 9489, 1268, 1170, 16, 5250, 1613, 2174, 7337, 352, 691, 442, 2999, 2770, 287, 5408, 1182, 534, 500, 358, 4140, 797, 1447, 665, 352, 3167, 917, 14, 5162, 640, 287, 5408, 370, 2999, 2770, 6456, 1431, 358, 4140, 2114, 1447, 748, 2565, 785, 6456, 649, 377, 6456, 4124, 16, 5089, 342, 397, 1397, 2075, 4900, 1574, 377, 2114, 11044, 1270, 352, 1441, 2056, 657, 436, 454, 1105, 589, 1716, 4214, 1320, 4267, 13398, 1005, 691, 442, 16, 8556, 397, 786, 975, 9327, 3746, 1322, 448, 2632, 953, 567, 1444, 920, 1682, 702, 644, 3045, 965, 377, 6456, 740, 782, 657, 532, 1682, 551, 397, 786, 975, 6191, 9327, 3746, 14, 1400, 5803, 3403, 1157, 489, 436, 1682, 823, 415, 532, 649, 4844, 993, 5530, 1100, 442, 4267, 2019 ]
[ 1, 16569, 644, 3045, 965, 940, 1230, 448, 377, 897, 342, 1345, 820, 1302, 2373, 3902, 1157, 489, 529, 445, 14, 2179, 3986, 342, 1157, 489, 415, 24445, 2858, 17565, 1567, 1345, 820, 370, 4781, 1250, 1086, 5917, 7081, 368, 415, 620, 16, 5199, 932, 14, 571, 289, 113, 702, 644, 3045, 965, 482, 660, 734, 2362, 1883, 1735, 640, 2362, 1652, 1185, 14, 978, 640, 2196, 7540, 450, 1248, 1706, 823, 1735, 342, 814, 4844, 589, 9692, 1140, 1475, 16, 6207, 370, 1756, 1891, 1523, 14, 1977, 1053, 529, 409, 20014, 2259, 1838, 454, 2012, 2184, 2397, 782, 415, 532, 3103, 16, 436, 734, 1005, 342, 436, 3848, 1268, 489, 1434, 1858, 571, 289, 113, 702, 644, 3045, 965, 5400, 289, 113, 702, 644, 3045, 965, 638, 7920, 15524, 702, 644, 3045, 965, 11, 790, 342, 436, 1377, 1434, 1858, 1781, 1314, 2071, 786, 975, 352, 436, 1747, 1250, 702, 9489, 262, 315, 786, 975, 16, 427, 1329, 702, 644, 3045, 965, 500, 2625, 572, 978, 1447, 1556, 436, 1682, 1613, 534, 1869, 9489, 352, 2836, 1447, 1613, 534, 3167, 9489, 16, 5400, 289, 113, 702, 644, 3045, 965, 1722, 5209, 352, 9327, 3746, 16, 427, 659, 479, 14, 1157, 489, 2356, 978, 2371, 368, 436, 571, 289, 113, 702, 644, 3045, 965, 500, 442, 1419, 3524, 740, 2999, 2770, 7693, 592, 306, 6989, 657, 786, 975, 352, 436, 571, 289, 113, 702, 644, 1037, 922, 448, 4110, 3301, 489, 1403, 16, 10143, 2836, 14, 534, 500, 2209, 442, 511, 2773, 6442, 2182, 1015, 3656, 3045, 965, 16, 5875, 610, 978, 2196, 7540, 3356, 571, 289, 113, 3045, 965, 500, 978, 632, 450, 803, 397, 2773, 2196, 7540, 28, 10260, 22, 2293, 276, 80, 2049, 1567, 2277, 759, 2293, 276, 80, 2049, 5643, 13246, 2293, 276, 80, 2049, 16, 12416, 3056, 509, 289, 113, 702, 644, 897, 442, 511, 2773, 1447, 5985, 4201, 1613, 13248, 7775, 2293, 665, 786, 975, 1613, 8766, 1037, 1510, 16, 5442, 509, 14, 2356, 5985, 4201, 500, 1842, 2445, 665, 1768, 786, 975, 352, 665, 1768, 10092, 5985, 4201, 728, 1403, 14, 1978, 2826, 1370, 3192, 993, 10823, 2088, 2424, 1645, 16, 5442, 2174, 2259, 454, 2145, 5447, 785, 2026, 1419, 993, 10823, 740, 14, 445, 370, 479, 798, 2356, 2196, 7540, 3447, 917, 657, 436, 571, 289, 113, 702, 644, 3045, 965, 1100, 442, 733, 454, 11307, 80, 10841, 511, 1105, 1397, 14, 651, 1447, 657, 370, 23044, 1210, 4267, 13398, 436, 649, 4844, 900, 442, 640, 370, 479, 2209, 442, 454, 1095, 1314, 4555, 1854, 1079, 16, 5782, 660, 14, 3034, 632, 2773, 978, 2196, 7540, 490, 917, 1181, 1919, 897, 4508, 2445, 665, 644, 2639, 1682, 368, 436, 1869, 9489, 823, 786, 975, 1134, 436, 571, 370, 1005, 3303, 370, 9240, 442, 2781, 592, 306, 6989, 1431, 16, 4669, 932, 1119, 1005, 2252, 14, 571, 289, 113, 702, 644, 979, 370, 511, 1460, 1829, 1039, 6289, 1270, 649, 482, 6289, 1534, 632, 1441, 1200, 6483, 1866, 761, 16, 15824, 2050, 920, 2661, 1170, 7264, 368, 289, 113, 3045, 965, 2661, 1170, 7264, 289, 113, 702, 644, 3045, 965, 860, 450, 1268, 1170, 377, 4073, 342, 1194, 2126, 9692, 16, 4293, 979, 1645, 993, 2116, 837, 1388, 761, 368, 2661, 1170, 7264, 289, 113, 3045, 965, 790, 342, 738, 814, 1198, 1556, 790, 368, 790, 803, 14, 450, 2125, 786, 975, 657, 803, 448, 1695, 3089, 450, 572, 3367, 2942, 3932, 448, 442, 2752, 4979, 740, 1556, 2773, 368, 1520, 1170, 786, 975, 922, 16, 5442, 922, 14, 2105, 3293, 790, 342, 1482, 814, 2511, 450, 1520, 1170, 786, 975, 1944, 2773, 1447, 2561, 1259, 450, 436, 1682, 1110, 1035, 415, 2307, 1520, 1170, 368, 803, 16, 3718, 4965, 665, 1611, 1270, 14, 1637, 1261, 490, 657, 415, 1520, 1170, 13248, 1447, 7164, 4083, 352, 3301, 2196, 748, 450, 804, 1121, 1613, 1364, 1576, 14, 9723, 3692, 436, 1682, 352, 3174, 5985, 4201, 450, 3367, 1829, 397, 920, 2561, 1259, 352, 2158, 4875, 1095, 1314, 761, 16, 5400, 289, 113, 702, 644, 3045, 965, 2430, 3323, 352, 9327, 3746, 24557, 782, 342, 2380, 2050, 1148, 953, 1637, 1261, 2661, 1170, 7264, 289, 113, 702, 644, 3045, 965, 14, 415, 532, 370, 479, 1747, 5084, 1978, 2826, 28, 1567, 5943, 1637, 511, 28, 532, 1977, 1345, 934, 3276, 1371, 3230, 3103, 1086, 1602, 2575, 2661, 1474, 1121, 564, 1964, 21671, 45, 786, 4184, 368, 1520, 1170, 702, 644, 3045, 965, 1035, 2108, 9327, 3746, 657, 803, 3089, 1695, 16, 1567, 2636, 873, 28, 13883, 1071, 14, 1977, 2103, 1198, 13248, 1447, 665, 388, 45, 352, 3276, 1371, 1838, 1520, 1170, 4041, 3544, 1938, 1611, 1270, 814, 1198, 7264, 289, 113, 702, 644, 3045, 965, 16, 1567, 5943, 1637, 1146, 28, 2103, 1198, 415, 5943, 1637, 564, 2872, 2371, 665, 1556, 2773, 2362, 442, 1364, 1684, 16, 5250, 922, 14, 1695, 572, 2105, 2661, 1170, 7264, 14, 993, 940, 1637, 1261, 2013, 1100, 1944, 1447, 16, 1567, 5943, 1637, 1421, 28, 3276, 1371, 28, 2561, 1259, 489, 1520, 1170, 786, 975, 14, 1860, 1833, 1110, 1381, 1944, 1447, 352, 1525, 1520, 1170, 500, 2873, 3416, 651, 1447, 2541, 479, 979, 1944, 16, 9755, 254, 665, 1611, 1270, 490, 657, 436, 571, 289, 113, 702, 644, 3045, 965, 370, 1721, 1892, 3884, 2661, 1170, 7264, 3884, 2196, 352, 2126, 9692, 748, 16, 511, 2190, 2752, 1233, 656, 571, 289, 113, 702, 644, 3045, 965, 9365, 489, 521, 4788, 6581, 454, 692, 1637, 571, 289, 113, 702, 644, 3045, 965, 823, 521, 2752, 1233, 657, 534, 16109, 3614, 1978, 2826, 2416, 2397, 782, 879, 370, 2907, 1157, 489, 521, 436, 1005, 14, 436, 1327, 370, 1441, 2056, 16, 13042, 2960, 1110, 946, 1978, 2826, 2397, 782, 482, 1015, 28, 5940, 3089, 786, 975, 9327, 3746, 5400, 289, 113, 702, 644, 4591, 1091, 4965, 738, 1448, 2781, 592, 306, 6989, 14, 2781, 2196, 7540, 1448, 2781, 702, 9489, 16, 17507, 482, 532, 5940, 3089, 786, 975, 2830, 823, 6483, 1866, 511, 814, 768, 534, 500, 2399, 532, 1801, 1882, 3485, 6632, 5418, 748, 14, 3211, 706, 1737, 4298, 1447, 733, 454, 20976, 2235, 16, 16538, 511, 786, 975, 9327, 3746, 14 ]
[ 1, 78, 1975, 1747, 1250, 702, 9489, 3045, 965, 2561, 3462, 846, 18760, 36, 309, 14, 415, 532, 979, 589, 691, 920, 18790, 287, 5408, 786, 975, 16, 11585, 2565, 785, 4844, 370, 2515, 2075, 18790, 287, 5408, 14, 532, 1459, 797, 2035, 479, 3167, 442, 16, 3895, 482, 415, 532, 1327, 691, 649, 377, 860, 14, 1541, 2012, 2184, 2397, 782, 529, 409, 500, 450, 415, 532, 691, 1978, 2826, 761, 16, 8654, 18790, 287, 5408, 786, 975, 1071, 2317, 1849, 1459, 1199, 521, 620, 972, 656, 1005, 1747, 903, 702, 644, 3045, 965, 1286, 900, 768, 2317, 3045, 1849, 500, 1831, 3118, 3167, 2196, 16, 5199, 660, 814, 490, 1722, 1185, 2830, 14, 1541, 370, 3010, 797, 1105, 2429, 415, 2317, 3045, 1919, 1005, 342, 521, 436, 3167, 16, 4669, 932, 14, 415, 532, 2430, 1157, 4844, 442, 2802, 1050, 768, 1049, 2317, 3045, 917, 14, 1849, 748, 342, 500, 1397, 3167, 16, 5442, 482, 1798, 81, 18790, 287, 5408, 786, 975, 368, 521, 1431, 1839, 1039, 757, 14, 532, 733, 1119, 3089, 1695, 415, 2317, 3045, 1849, 454, 415, 1245, 1268, 1015, 28, 4272, 482, 2999, 2770, 3061, 2367, 1431, 823, 2999, 2770, 3167, 368, 2317, 3045, 2085, 740, 649, 500, 1703, 4517, 1091, 16, 11585, 1037, 656, 1599, 572, 2999, 2770, 287, 5408, 14, 4644, 4379, 5537, 786, 975, 9327, 3746, 589, 2174, 7337, 2111, 1849, 368, 1108, 2317, 16, 5761, 1119, 14, 1322, 532, 798, 2999, 2770, 3061, 1431, 14, 415, 532, 1119, 1695, 3089, 2317, 2085, 740, 1322, 482, 1037, 1613, 3452, 2429, 2247, 572, 657, 2999, 2770, 3061, 3306, 3399, 1091, 14, 656, 490, 786, 975, 766, 12104, 1222, 2317, 2085, 740, 1431, 748, 16, 6956, 932, 1119, 14, 415, 532, 649, 1119, 1287, 2317, 2085, 740, 1322, 482, 2999, 2770, 287, 5408, 3061, 1037, 1105, 1397, 3306, 3399, 1091, 16, 1322, 1108, 2317, 3045, 370, 993, 1534, 377, 1302, 19745, 11457, 14, 5782, 1257, 2317, 2085, 740, 640, 442, 965, 740, 3812, 786, 16, 4293, 649, 1119, 4875, 1510, 1287, 2317, 2085, 740, 748, 14, 1541, 3812, 786, 342, 397, 2196, 660, 3010, 1642, 917, 454, 3045, 965, 16, 8654, 18790, 287, 5408, 786, 975, 1071, 2317, 3045, 2654, 3393, 702, 9489, 3045, 965, 823, 415, 2317, 3045, 2654, 748, 442, 1601, 342, 2085, 2397, 16, 3184, 2515, 2075, 18790, 287, 5408, 3045, 965, 657, 532, 649, 589, 4663, 442, 16, 5089, 790, 342, 18790, 287, 5408, 1071, 2085, 2397, 454, 415, 1105, 2429, 3045, 965, 16, 427, 659, 479, 14, 532, 1119, 1287, 2317, 2085, 2397, 1322, 1105, 2429, 370, 2445, 1419, 482, 1015, 28, 2565, 785, 993, 1534, 368, 1108, 2317, 370, 646, 19745, 11457, 1199, 14, 5782, 932, 2999, 2770, 3061, 640, 3447, 3574, 16, 5371, 490, 532, 1119, 1287, 2317, 2085, 2397, 16, 11585, 786, 975, 15522, 9327, 3746, 766, 370, 768, 2999, 2770, 3167, 368, 2317, 2085, 2397, 1431, 748, 2565, 785, 1037, 1105, 2429, 14, 2999, 2770, 3061, 2269, 1980, 823, 532, 649, 1977, 1287, 2317, 2085, 2397, 16, 11585, 786, 975, 766, 20014, 2259, 2317, 2085, 2397, 1431, 748, 1613, 3452, 1397, 1287, 757, 2565, 785, 993, 1534, 368, 873, 2317, 377, 1302, 19745, 11457, 14, 884, 2317, 2085, 2397, 640, 442, 2620, 2429, 740, 3812, 786, 16, 5371, 490, 415, 532, 649, 1977, 1287, 2317, 2085, 2397, 14, 1541, 3812, 786, 1831, 3618, 1086, 521, 2196, 660, 2086, 1053, 917, 16, 8654, 18790, 287, 5408, 786, 975, 1071, 1110, 1381, 1037, 3452, 1613, 18790, 287, 5408, 1316, 1642, 1105, 1397, 3045, 965, 734, 14, 415, 532, 649, 589, 1187, 352, 2174, 7337, 1459, 797, 415, 1110, 1381, 1037, 3452, 368, 873, 2317, 2807, 2183, 761, 16, 11585, 1306, 1735, 3452, 1397, 720, 1562, 2526, 3447, 2917, 7840, 1541, 521, 1110, 1381, 1037, 3452, 368, 1108, 2317, 16, 4588, 1110, 1381, 657, 415, 532, 979, 2174, 7337, 342, 28, 1110, 946, 1534, 1460, 368, 1108, 2317, 1037, 3452, 6639, 2075, 14, 2317, 1239, 657, 1108, 2317, 1655, 13845, 1148, 1157, 757, 454, 1146, 3452, 757, 1755, 761, 14, 740, 3812, 786, 14, 3812, 1829, 5647, 2259, 454, 415, 3452, 2429, 920, 782, 377, 2381, 740, 3812, 786, 14, 3812, 1829, 9246, 1556, 14, 3812, 2275, 1678, 14, 1095, 2826, 352, 415, 1110, 1381, 370, 1483, 837, 14, 459, 3085, 1326, 768, 656, 532, 262, 957, 352, 2174, 7337, 521, 1110, 1381, 740, 782, 397, 920, 2706, 2013, 16, 8201, 1613, 9489, 415, 532, 1119, 2960, 1037, 415, 864, 2213, 9489, 368, 786, 975, 1599, 572, 2266, 2129, 7986, 5351, 489, 786, 975, 5803, 3403, 352, 786, 975, 9327, 3746, 16, 3080, 532, 370, 479, 1599, 572, 442, 521, 1250, 3268, 632, 1306, 1735, 3452, 1397, 1854, 1157, 2706, 16, 8654, 18790, 287, 5408, 786, 975, 3524, 665, 4644, 287, 5408, 20218, 287, 5408, 786, 975, 649, 342, 397, 2461, 977, 657, 532, 377, 442, 1640, 1035, 16, 11585, 1319, 567, 415, 1110, 946, 837, 2654, 1286, 370, 454, 4644, 287, 5408, 16, 5371, 993, 940, 2174, 2259, 4644, 287, 5408, 786, 975, 14, 415, 532, 979, 589, 2593, 1233, 1086, 521, 2654, 977, 1015, 28, 388, 4066, 2770, 287, 5408, 1821, 489, 1110, 946, 1037, 3452, 368, 1108, 2317, 482, 660, 734, 16, 23919, 785, 2999, 2770, 287, 5408, 1431, 1134, 3574, 748, 1821, 489, 1370, 1239, 993, 846, 368, 873, 2317, 823, 1182, 761, 529, 445, 377, 1119, 1682, 16, 11585, 2294, 1270, 1431, 1105, 1397, 1684, 766, 1801, 18076, 1231, 3393, 2515, 2075, 18790, 287, 5408, 3045, 965, 368, 1431, 1839, 14, 415, 532, 649, 532, 377, 1119, 1747, 903, 702, 9489, 415, 3452, 1397, 370, 2999, 2770, 1448, 1447, 1302, 1431, 16, 11585, 733, 370, 521, 287, 5408, 785, 1005, 370, 2999, 2770, 1448, 1447, 1431, 748, 1400, 3416, 1322, 2999, 2770, 287, 5408, 1376, 1479, 1483, 1983, 823, 415, 532, 649, 377, 1119, 1747, 1250, 702, 9489, 665, 521, 287, 5408, 482, 660, 16, 8654, 18790, 287, 5408, 786, 975, 3524, 665, 1459, 1199, 3184, 1798, 81, 18790, 287, 5408, 262, 315, 3045, 965, 342, 635, 657, 415, 532, 649, 1119, 1747, 5084, 14, 922, 790, 342, 3524, 665, 4181, 3624, 16, 19502, 1257, 415 ]
[ 1, 1673, 1302, 1334, 1682, 702, 644, 3045, 965, 15522, 436, 1682, 733, 370, 873, 3089, 1695, 397, 342, 3167, 873, 342, 6456, 1737, 1447, 16, 509, 649, 1358, 3539, 665, 436, 1682, 1869, 9489, 2085, 734, 33, 1053, 276, 483, 9655, 733, 572, 920, 1682, 702, 644, 3045, 965, 1502, 415, 532, 1831, 5402, 442, 3167, 2196, 1035, 2012, 2184, 2397, 782, 16, 8654, 1682, 702, 644, 3045, 965, 1831, 5402, 3167, 2196, 8185, 1387, 1869, 9489, 511, 16, 53, 4970, 287, 5408, 6207, 1502, 532, 370, 479, 18790, 287, 5408, 3045, 965, 397, 920, 2706, 2013, 352, 1652, 1185, 1883, 1735, 823, 436, 1682, 979, 589, 978, 3652, 649, 482, 2174, 2259, 415, 1110, 946, 632, 1105, 2429, 1755, 442, 1514, 1611, 2541, 479, 28, 15839, 1858, 4644, 4379, 5537, 368, 873, 2317, 3045, 13845, 1148, 1157, 757, 2071, 1108, 2317, 1509, 660, 2620, 2429, 2356, 644, 8377, 1582, 20111, 644, 2620, 2429, 17096, 1239, 572, 3812, 3080, 1110, 1381, 728, 482, 28, 9225, 2826, 14, 1388, 1556, 7737, 16, 8654, 1682, 702, 9489, 3045, 965, 873, 16, 10281, 2085, 9489, 8766, 1695, 2085, 9489, 436, 1682, 1119, 3524, 665, 1110, 1381, 740, 4644, 368, 786, 975, 16, 1322, 482, 370, 646, 2019, 934, 823, 458, 649, 442, 21252, 4238, 551, 521, 3452, 1362, 1755, 615, 16, 3356, 1682, 733, 979, 2873, 3416, 1110, 1381, 905, 415, 786, 975, 448, 370, 1039, 7464, 1121, 1611, 2873, 3416, 4644, 287, 5408, 368, 1768, 1105, 1397, 16, 427, 659, 479, 28, 17096, 1849, 1599, 1724, 607, 965, 3812, 1829, 14, 3061, 454, 2145, 511, 17, 20, 1086, 511, 2868, 16, 2514, 1597, 651, 2868, 3061, 1919, 450, 798, 1854, 837, 1534, 1460, 4844, 1302, 19745, 11457, 16, 415, 532, 1119, 3089, 1695, 287, 5408, 2397, 16, 1108, 2317, 370, 3712, 3636, 352, 2294, 1270, 7266, 1403, 436, 1682, 1119, 1695, 2317, 1829, 14, 1053, 1613, 1246, 287, 5408, 1211, 285, 670, 16, 1322, 482, 2999, 2770, 3061, 2269, 511, 1980, 897, 1146, 17, 22, 14, 884, 2999, 2770, 1448, 3306, 3399, 1037, 1042, 2620, 2429, 16, 656, 490, 532, 1119, 3089, 1695, 287, 5408, 2397, 16, 388, 4066, 2770, 3061, 2269, 1211, 1198, 2999, 2770, 1448, 2269, 14, 2999, 2770, 3061, 1703, 4517, 1211, 1198, 1447, 1448, 1703, 4517, 16, 3356, 1682, 1869, 287, 5408, 2317, 897, 640, 16, 5145, 940, 846, 1322, 482, 2999, 2770, 287, 5408, 3306, 3399, 823, 1447, 1448, 649, 3306, 3399, 1071, 16, 1370, 3192, 2999, 2770, 287, 5408, 2269, 823, 1447, 1448, 649, 500, 2269, 16, 2868, 640, 1322, 287, 5408, 1703, 4517, 657, 1447, 1448, 640, 3539, 823, 415, 532, 1119, 1695, 2317, 897, 640, 16, 1322, 482, 287, 5408, 2397, 571, 2927, 1037, 436, 1682, 1119, 1869, 9489, 287, 5408, 2397, 16, 681, 5408, 4402, 3397, 1703, 4517, 1091, 511, 17, 22, 454, 656, 287, 5408, 2634, 2984, 16823, 632, 2085, 3058, 16, 3356, 1682, 1119, 1695, 2317, 1345, 786, 16, 681, 5408, 3045, 965, 4402, 2984, 4844, 2019, 934, 4267, 2019, 656, 657, 287, 5408, 4402, 3397, 2269, 16, 415, 532, 979, 1695, 2317, 1829, 16, 681, 5408, 4402, 2984, 1854, 1833, 287, 5408, 3061, 511, 17, 22, 352, 287, 5408, 4402, 3397, 3061, 511, 17, 20, 16, 1815, 342, 532, 1119, 1695, 2317, 1829, 16, 3751, 2056, 1682, 702, 9489, 3045, 965, 1146, 16, 1241, 1869, 9489, 287, 5408, 785, 681, 5408, 785, 790, 342, 521, 1671, 287, 5408, 9489, 1400, 4006, 720, 2019, 934, 454, 2145, 786, 975, 16, 5318, 370, 479, 1479, 1376, 2999, 2770, 287, 5408, 1483, 1259, 564, 978, 4427, 436, 1682, 1869, 9489, 16, 5442, 18790, 287, 5408, 262, 315, 3045, 965, 790, 2013, 761, 2634, 15646, 450, 691, 521, 287, 5408, 490, 370, 2999, 2770, 1448, 879, 5769, 884, 2294, 1270, 3167, 9489, 342, 879, 3574, 16, 6207, 370, 479, 2506, 3911, 442, 2942, 3932, 649, 482, 3085, 1326, 442, 651, 1447, 9489, 415, 532, 979, 2269, 6353, 2373, 352, 1100, 691, 442, 415, 1671, 287, 5408, 785, 490, 1421, 16, 18613, 1510, 9489, 287, 5408, 4402, 2984, 3356, 1682, 370, 479, 1869, 9489, 287, 5408, 4402, 2984, 1181, 897, 1601, 342, 287, 5408, 511, 17089, 20, 16, 4967, 342, 397, 454, 521, 1671, 287, 5408, 879, 1357, 1268, 489, 2807, 2183, 436, 1682, 16, 4480, 879, 1652, 1185, 352, 3306, 3399, 442, 2999, 2770, 7693, 3167, 1182, 748, 415, 1671, 287, 5408, 9489, 728, 16, 5553, 287, 5408, 490, 733, 370, 1146, 2085, 1869, 28, 19840, 1567, 986, 1469, 1567, 1347, 267, 16, 8185, 1387, 814, 1198, 3767, 1742, 9489, 3356, 1682, 4272, 482, 1695, 3089, 442, 1949, 2085, 9489, 823, 448, 3618, 640, 2145, 5799, 7, 3167, 9489, 16, 5632, 1119, 415, 532, 1119, 1695, 3089, 1949, 651, 1447, 9489, 1857, 287, 5408, 564, 1502, 415, 532, 4576, 2013, 4848, 740, 3462, 1935, 2449, 16, 4272, 785, 489, 1397, 2075, 9489, 511, 15, 21, 15, 20, 15, 22, 28, 624, 2525, 511, 28, 427, 426, 847, 77, 16, 1322, 482, 6456, 1259, 2247, 9489, 847, 77, 16, 1322, 482, 3167, 823, 532, 1119, 1035, 3099, 1108, 16, 624, 2525, 873, 28, 427, 426, 5126, 77, 16, 2565, 785, 6456, 823, 1737, 4382, 77, 352, 2660, 640, 9489, 847, 77, 16, 2565, 785, 3167, 1838, 1387, 823, 1035, 3099, 1146, 16, 624, 2525, 1146, 28, 427, 426, 4382, 77, 16, 4272, 482, 6456, 1269, 1523, 4382, 77, 352, 2660, 640, 9489, 847, 77, 16, 2565, 785, 3167, 1035, 3099, 1421, 16, 624, 2525, 1421, 28, 427, 426, 5799, 77, 16, 1322, 482, 6456, 1269, 1523, 4382, 77, 352, 2660, 640, 9489, 847, 77, 16, 1322, 482, 3167, 500, 1523, 2743, 2569, 5096, 77, 637, 847, 77, 4028, 757, 352, 2660, 640, 9489, 847, 77, 16, 8654, 1682, 702, 644, 3045, 965, 1831, 3167, 589, 1377, 5701, 1383, 1170, 8047, 706, 1071, 1397, 2075, 4844, 720, 1637, 934, 1541, 1383, 1170, 4181, 3624, 619, 745, 287, 5408, 4249, 2640, 17603, 5701, 1383, 1170, 352, 22469, 2129, 1248, 1706, 3089, 1695, 786, 975, 9327, 3746, 8766, 5940, 3089, 415, 786, 975, 9327, 3746, 761, 18608, 3917, 454, 702, 644, 879, 837, 1388, 905, 509, 790, 342, 1503, 2209, 1721 ]
[ 1, 45, 5408, 3045, 965, 342, 2075, 3075, 479, 940, 521, 3193, 651, 657, 786, 975, 1599, 572, 454, 4644, 2999, 2770, 287, 5408, 786, 975, 4041, 450, 436, 1682, 691, 1110, 1381, 2317, 1849, 14, 2654, 14, 6196, 2770, 1448, 1447, 1071, 1768, 2085, 564, 436, 1682, 1695, 8389, 16, 3393, 287, 5408, 262, 315, 3045, 965, 3557, 2340, 2116, 1460, 370, 646, 2019, 479, 368, 377, 2114, 2461, 977, 14, 884, 2836, 864, 640, 342, 458, 1964, 2283, 1550, 2334, 1148, 415, 1105, 2429, 448, 448, 564, 1599, 572, 1250, 1381, 415, 1306, 1735, 454, 1854, 2892, 16, 3623, 975, 500, 3524, 665, 922, 564, 1599, 572, 287, 5408, 1037, 3452, 16, 681, 5408, 3045, 965, 33, 3393, 4644, 287, 5408, 3045, 965, 551, 2356, 2126, 9692, 761, 551, 4644, 2743, 1268, 287, 5408, 2836, 500, 5194, 1597, 5007, 1146, 1671, 287, 5408, 790, 342, 28, 681, 5408, 3061, 14, 287, 5408, 1556, 12789, 87, 352, 287, 5408, 511, 90, 20, 368, 5649, 511, 352, 567, 3452, 16, 3393, 922, 14, 287, 5408, 3061, 352, 1556, 12789, 87, 3509, 1883, 450, 287, 5408, 4402, 3397, 14, 897, 287, 5408, 511, 90, 20, 2247, 4074, 450, 5449, 1814, 368, 4402, 2984, 16, 9432, 4644, 1684, 14, 5194, 1597, 2317, 720, 3061, 638, 86, 561, 1833, 450, 2317, 1849, 748, 11, 352, 1525, 3056, 342, 6196, 2770, 1448, 1447, 1613, 1869, 1071, 2085, 2317, 1829, 1181, 2317, 786, 16, 8330, 1057, 1108, 2247, 2952, 450, 287, 5408, 1556, 12789, 87, 352, 1525, 3056, 458, 790, 342, 2999, 2770, 1448, 1447, 14, 884, 2999, 2770, 1525, 740, 2361, 4238, 450, 2085, 1556, 14, 1525, 2397, 13975, 4074, 450, 1695, 2085, 12789, 87, 681, 5408, 511, 90, 20, 733, 940, 1597, 1146, 2999, 2770, 1448, 1447, 1854, 1833, 342, 651, 1695, 2317, 786, 1448, 3167, 823, 1695, 2999, 2770, 740, 1053, 14, 1695, 2317, 1829, 3167, 823, 2999, 2770, 551, 2071, 897, 4272, 482, 3268, 873, 2317, 500, 3058, 823, 1695, 3987, 4881, 1105, 16, 2899, 1210, 16085, 1671, 287, 5408, 3045, 965, 786, 975, 33, 5727, 489, 521, 1377, 1550, 1854, 1157, 454, 1302, 5938, 14, 786, 370, 370, 479, 450, 572, 3459, 3357, 1671, 287, 5408, 728, 1403, 884, 2836, 864, 640, 823, 733, 370, 1524, 1671, 287, 5408, 790, 352, 458, 500, 442, 2781, 572, 804, 5649, 511, 352, 5649, 1108, 14, 2569, 489, 3311, 11821, 415, 1671, 287, 5408, 728, 1201, 564, 1482, 572, 1721, 4267, 2019, 287, 5408, 748, 16, 681, 5408, 511, 90, 20, 28, 681, 5408, 786, 4236, 1682, 2126, 1314, 761, 14, 1829, 1039, 733, 979, 1695, 2317, 734, 3167, 342, 1448, 1447, 14, 1322, 482, 1250, 3268, 873, 2317, 500, 3058, 1403, 823, 1695, 2999, 2770, 1940, 1053, 16, 681, 5408, 490, 2026, 4267, 2019, 18434, 1582, 1613, 2035, 479, 3618, 640, 646, 6086, 1419, 656, 1869, 9489, 352, 1071, 4026, 1105, 2429, 1541, 1322, 482, 2317, 1302, 1849, 823, 823, 6196, 2770, 1448, 1447, 9489, 640, 879, 3574, 897, 2317, 2654, 370, 479, 370, 2999, 2770, 1448, 411, 2655, 1280, 1134, 748, 16, 681, 5408, 3061, 28, 986, 830, 287, 5408, 4402, 3397, 14, 442, 1382, 342, 287, 5408, 4267, 1110, 761, 740, 660, 1069, 16, 4480, 571, 450, 873, 2317, 3045, 4376, 1157, 748, 656, 3422, 521, 2317, 1849, 589, 3061, 3045, 352, 458, 571, 2999, 2770, 1448, 1447, 1556, 873, 2317, 1231, 804, 4714, 979, 1308, 748, 16, 5782, 1257, 14, 458, 649, 2182, 4827, 358, 1552, 352, 2428, 1847, 1645, 450, 521, 436, 1682, 1005, 1119, 415, 532, 979, 2960, 1721, 2012, 2184, 1978, 2826, 632, 287, 5408, 4402, 3397, 16, 17507, 785, 28, 701, 636, 23536, 23511, 20547, 14, 786, 975, 564, 23536, 2085, 740, 352, 589, 3061, 704, 18, 16, 23, 2927, 14, 1815, 342, 1015, 6059, 2832, 651, 2927, 3167, 368, 23536, 589, 1199, 748, 314, 823, 1005, 1448, 1447, 14, 897, 4272, 482, 3058, 314, 15, 18, 1134, 6456, 20547, 823, 1695, 2085, 740, 500, 1737, 1675, 1447, 16, 6306, 1695, 2085, 20547, 500, 1448, 1447, 16, 681, 5408, 1556, 12789, 87, 28, 681, 5408, 370, 644, 4267, 2019, 733, 4379, 1015, 287, 5408, 3061, 884, 657, 879, 2424, 1682, 352, 2424, 1645, 14, 1119, 442, 1382, 342, 287, 5408, 5604, 558, 5604, 1710, 442, 4875, 1510, 3089, 1695, 1857, 656, 18790, 287, 5408, 3045, 965, 16, 681, 5408, 490, 733, 979, 415, 532, 1250, 3268, 2743, 651, 2927, 3167, 368, 873, 2317, 454, 3452, 2429, 1684, 1199, 748, 1181, 1919, 748, 2999, 2770, 1556, 12789, 87, 657, 521, 786, 975, 9327, 3746, 1599, 572, 16, 17507, 785, 28, 3623, 975, 1599, 572, 2999, 2770, 1420, 4367, 17, 9187, 9648, 342, 1146, 16, 23, 657, 3452, 1397, 6457, 6253, 489, 2743, 2927, 3167, 1199, 748, 1421, 342, 532, 500, 1448, 1447, 1613, 1695, 1420, 4367, 10, 10784, 11, 1134, 1322, 1306, 2866, 454, 2145, 1108, 2927, 1231, 1980, 823, 436, 1682, 1695, 23634, 10, 58, 7456, 87, 11, 500, 1448, 1447, 16, 681, 5408, 5377, 28, 9516, 897, 1601, 342, 287, 5408, 5377, 5076, 14, 458, 500, 1210, 2341, 415, 287, 5408, 4781, 1371, 615, 2743, 651, 1460, 5377, 3593, 14, 5377, 4618, 442, 4881, 572, 1613, 6457, 6253, 3452, 1397, 16, 4480, 649, 442, 2019, 479, 804, 4267, 1110, 4236, 9489, 5377, 5076, 377, 2067, 1403, 482, 28, 3178, 5377, 3593, 28, 10440, 5377, 3593, 368, 1108, 2317, 692, 846, 500, 1199, 748, 1181, 1919, 748, 33, 1219, 935, 5377, 3593, 28, 17096, 786, 3061, 2317, 1829, 2827, 5377, 3593, 33, 681, 5408, 5377, 4618, 28, 17096, 734, 500, 370, 5377, 4618, 33, 1210, 16085, 5377, 4618, 454, 3452, 1397, 490, 33, 681, 5408, 6242, 5377, 28, 2317, 611, 370, 6242, 615, 1146, 5377, 3593, 3452, 490, 287, 33, 681, 5408, 624, 5818, 28, 4967, 342, 1671, 287, 5408, 1005, 442, 1512, 940, 551, 3009, 5537, 1477, 3656, 4720, 15, 5581, 14, 884, 458, 965, 1512, 940, 551, 415, 1559, 2429, 1039, 757, 4402, 2984, 1037, 509, 511, 3656, 352, 940, 733, 1833, 953, 551, 4402, 2984, 352, 415, 1559, 3045, 965, 1199, 482, 10741, 6496, 1181, 7886, 11451, 847, 1372, 7737, 1743, 3452, 2429, 490, 415, 1388 ]
[ 1, 1556, 370, 1655, 624, 5818, 377, 33, 17096, 734, 589, 1655, 624, 5818, 797, 748, 33, 2899, 2743, 1210, 16085, 624, 5818, 454, 3452, 2429, 33, 681, 5408, 23838, 862, 4463, 28, 681, 5408, 490, 2179, 7208, 733, 2118, 572, 454, 521, 3452, 1397, 11451, 1134, 521, 3452, 1397, 14, 3099, 2429, 979, 589, 2013, 1050, 2317, 3167, 6456, 564, 607, 1259, 657, 4844, 1655, 564, 1582, 564, 266, 381, 6685, 16, 11585, 905, 14, 287, 5408, 490, 733, 1512, 940, 1015, 6059, 2832, 14, 1134, 11032, 2832, 454, 521, 3452, 1397, 1738, 1050, 482, 454, 2145, 3099, 1671, 2561, 13883, 615, 3452, 2836, 1306, 368, 1559, 2429, 16, 7723, 17, 1689, 7456, 87, 23838, 862, 4463, 28, 873, 2317, 370, 979, 20508, 1675, 7121, 965, 1057, 1444, 823, 1005, 8556, 572, 2317, 1397, 3167, 33, 3178, 651, 5872, 20508, 23579, 862, 4463, 804, 692, 1181, 3181, 3935, 342, 7780, 1181, 363, 2817, 16, 681, 5408, 7780, 363, 2817, 28, 681, 5408, 490, 9692, 1140, 1475, 342, 733, 2569, 2743, 651, 2927, 3167, 368, 873, 2317, 665, 1382, 458, 342, 651, 363, 2817, 1181, 651, 7780, 16, 9372, 9692, 1140, 1475, 352, 1322, 482, 370, 1095, 4001, 2960, 415, 2012, 20014, 2259, 3045, 965, 823, 500, 3301, 3884, 3167, 287, 5408, 490, 656, 1382, 2334, 1148, 965, 368, 534, 16, 681, 5408, 6196, 651, 790, 2013, 28, 681, 5408, 1250, 3212, 6196, 651, 2706, 2013, 370, 479, 820, 2873, 342, 287, 5408, 1847, 1448, 1447, 761, 368, 786, 975, 14, 884, 511, 656, 1448, 823, 1831, 917, 748, 521, 287, 5408, 2126, 728, 16, 3623, 975, 500, 1599, 572, 3291, 6196, 651, 1037, 3485, 511, 15, 18, 14, 314, 15, 19, 14, 511, 15, 20, 14, 873, 15, 19, 14, 314, 15, 18, 564, 436, 1682, 5940, 3089, 352, 6196, 2770, 1448, 1447, 3574, 761, 1400, 342, 411, 21, 1134, 411, 22, 1447, 9489, 16, 7385, 521, 6196, 651, 657, 1639, 1250, 3268, 368, 786, 975, 4236, 482, 1227, 14766, 8980, 6456, 511, 15, 25, 823, 6196, 2770, 1448, 1447, 370, 479, 1091, 1086, 411, 5075, 1280, 16, 681, 5408, 2927, 3167, 28, 5828, 287, 5408, 370, 2019, 1376, 4267, 13398, 761, 14, 352, 342, 287, 5408, 786, 975, 2822, 2907, 761, 1613, 436, 1682, 1747, 903, 1541, 458, 1302, 1882, 3485, 287, 5408, 2399, 738, 1695, 1949, 1231, 1119, 3056, 1806, 748, 16, 681, 5408, 5649, 511, 14, 5649, 873, 370, 2927, 3167, 377, 33, 21549, 2927, 33, 17096, 734, 500, 3271, 2927, 3167, 757, 1510, 33, 436, 734, 500, 370, 2927, 3167, 9427, 1105, 17096, 734, 3271, 873, 2927, 3230, 761, 33, 3342, 4267, 1110, 2019, 479, 728, 1201, 7737, 681, 5408, 5076, 6809, 28, 16920, 3361, 564, 415, 2019, 651, 368, 287, 5408, 6809, 454, 1105, 1397, 500, 2247, 572, 16, 1713, 1400, 500, 370, 1146, 3485, 790, 681, 5408, 6242, 6809, 28, 2899, 1444, 14, 1787, 14, 1905, 6809, 1037, 7737, 681, 5408, 3061, 6809, 7723, 12789, 87, 5076, 6809, 681, 5408, 1362, 1839, 3271, 2927, 28, 681, 5408, 490, 342, 287, 5408, 2114, 436, 1682, 761, 1541, 370, 1086, 6171, 1362, 1839, 790, 454, 2317, 1239, 1327, 2252, 2532, 1742, 1250, 720, 442, 14386, 1584, 454, 4644, 1250, 3268, 16, 4441, 234, 2770, 1448, 1447, 4267, 1110, 454, 2145, 411, 20, 615, 411, 2655, 1280, 1447, 9489, 681, 5408, 1377, 5058, 6299, 28, 5950, 1584, 448, 4049, 1091, 1459, 3624, 632, 287, 5408, 490, 14, 2317, 734, 500, 3167, 657, 2283, 5058, 6299, 1181, 2317, 734, 720, 4189, 6299, 1037, 16, 681, 5408, 14407, 28, 681, 5408, 490, 733, 370, 1108, 3485, 790, 884, 2174, 572, 637, 1787, 1567, 2277, 1671, 9489, 3524, 665, 651, 2832, 571, 2927, 681, 5408, 1671, 1787, 3089, 1695, 28, 637, 314, 15, 958, 14, 4053, 15, 507, 14, 7771, 15, 2238, 14, 8361, 15, 1126, 14, 19706, 15, 2332, 14, 20346, 15, 893, 2832, 370, 2927, 3167, 377, 33, 638, 11539, 820, 2873, 2317, 734, 11, 1347, 417, 69, 287, 5408, 2277, 3089, 1695, 28, 314, 15, 642, 14, 7737, 14, 21936, 15, 893, 370, 2927, 3167, 33, 681, 5408, 1479, 436, 28, 681, 5408, 490, 4781, 1250, 1086, 646, 1695, 8389, 368, 4769, 1482, 1121, 14, 1119, 738, 1071, 4026, 1370, 1239, 1376, 1479, 436, 368, 415, 23637, 454, 415, 1105, 1397, 1037, 922, 500, 2026, 640, 2999, 2770, 3167, 2196, 287, 5408, 1199, 748, 16, 17096, 734, 500, 1479, 436, 1037, 33, 7723, 12789, 87, 651, 1460, 1362, 1839, 442, 1479, 572, 33, 3209, 1451, 1210, 3443, 2317, 611, 14, 519, 3938, 757, 1479, 436, 33, 17096, 734, 500, 1479, 436, 2917, 7840, 748, 33, 681, 5408, 18608, 1434, 28, 681, 5408, 10170, 2743, 651, 1280, 18608, 1434, 368, 873, 2317, 454, 3452, 1397, 14, 1400, 442, 1682, 1071, 4236, 1556, 12789, 87, 18608, 1434, 16, 681, 5408, 2626, 2100, 28, 4838, 1419, 1308, 415, 1280, 2626, 2100, 368, 873, 1525, 442, 3271, 1100, 1541, 1388, 1556, 352, 458, 370, 649, 733, 1682, 1071, 6196, 2770, 1420, 4367, 17, 9187, 9648, 16, 681, 5408, 20508, 9931, 3293, 28, 9505, 79, 2743, 651, 1280, 20508, 9931, 3293, 368, 1108, 2317, 564, 1419, 2743, 352, 1821, 489, 287, 5408, 1556, 12789, 87, 1037, 3452, 564, 1448, 1447, 1134, 1737, 1447, 16, 681, 5408, 2531, 6299, 786, 638, 8211, 1168, 8661, 862, 7325, 681, 5408, 490, 305, 990, 1134, 1613, 798, 1541, 6196, 2770, 370, 2927, 3167, 2531, 6299, 786, 342, 879, 3574, 352, 4189, 733, 370, 454, 521, 1105, 2429, 1199, 14, 521, 3452, 3045, 9353, 500, 377, 370, 287, 5408, 490, 564, 2266, 2129, 2376, 644, 16, 681, 5408, 917, 1618, 298, 917, 290, 308, 638, 1970, 1380, 657, 377, 1839, 261, 6299, 7325, 16538, 2317, 734, 3167, 657, 1377, 5058, 6299, 14, 2179, 3986, 287, 5408, 490, 1400, 370, 6196, 2770, 1448, 1447, 6191, 748, 1613, 5940, 3089, 415, 2317, 1849, 16, 681, 5408, 1199, 1618, 298, 21112, 10381, 74, 2682, 638, 1970, 1380, 9763, 5162, 4275, 7325, 681, 5408, 490, 2362, 1035, 1400, 1512, 940, 454, 415, 3452, 1397, 370, 19667, 17669, 1747, 903, 14, 1541, 534, 448, 3167, 5162, 4275, 1905, 17, 1038, 3452, 551, 3009, 5537, 1477 ]
[ 1, 45, 5408, 3045, 965, 342, 397, 454, 521, 1239, 1387, 702, 9489, 442, 9145, 1357, 761, 940, 1230, 16, 7385, 1239, 1387, 2126, 3353, 14, 2999, 2770, 9931, 4189, 917, 14, 287, 5408, 3045, 965, 766, 4714, 1231, 1119, 5521, 1678, 368, 2917, 7840, 436, 16, 5782, 1257, 377, 589, 436, 734, 649, 691, 920, 702, 644, 3045, 965, 2430, 3323, 16, 6815, 2012, 2184, 490, 14, 276, 483, 9655, 500, 1502, 532, 14, 1053, 4026, 1071, 3103, 3, 15640, 644, 3045, 965, 342, 635, 2560, 8201, 1613, 15370, 1050, 632, 920, 702, 644, 3045, 965, 2430, 3323, 352, 3639, 2712, 368, 415, 786, 975, 529, 445, 589, 1645, 442, 702, 644, 3045, 965, 342, 635, 2560, 15640, 644, 3045, 965, 342, 1239, 1387, 1869, 9489, 4781, 1371, 615, 415, 2179, 1582, 14, 1419, 2116, 368, 3045, 965, 28, 6196, 651, 14, 651, 2927, 3167, 14, 651, 5076, 6809, 14, 1124, 3178, 1268, 521, 920, 702, 644, 3045, 965, 1883, 1735, 7385, 646, 1153, 1719, 368, 2091, 1110, 1882, 692, 2541, 14, 8494, 2139, 4083, 2130, 5646, 660, 1069, 14, 702, 9489, 3045, 965, 370, 521, 1479, 1376, 1199, 16, 454, 2145, 1239, 1387, 702, 9489, 2091, 1110, 2071, 436, 489, 436, 1035, 4122, 2476, 1523, 2252, 14, 702, 9489, 448, 2991, 702, 644, 15522, 740, 415, 1672, 2161, 16, 3356, 1682, 370, 479, 5940, 3089, 4267, 13398, 786, 975, 2569, 397, 656, 489, 521, 1239, 1387, 14, 1832, 15528, 1856, 1754, 6212, 285, 70, 14, 1448, 4189, 13243, 12176, 16, 11820, 702, 644, 3045, 965, 2430, 3323, 14, 1448, 4189, 917, 14, 5534, 14506, 532, 589, 1645, 2088, 2213, 1682, 16, 1015, 782, 529, 803, 500, 450, 532, 521, 1110, 946, 2126, 9692, 3103, 28, 10723, 1735, 1105, 2429, 500, 442, 1419, 1071, 5649, 2429, 415, 532, 1747, 903, 9489, 28, 1815, 342, 4272, 482, 1306, 1735, 5649, 511, 720, 3970, 823, 415, 18433, 9489, 4781, 1371, 615, 5649, 511, 649, 720, 3970, 1071, 16, 3393, 1245, 1268, 3452, 2429, 720, 10202, 985, 1095, 2826, 14, 3009, 1955, 14, 1134, 4503, 454, 2963, 1042, 823, 702, 644, 1684, 500, 1079, 934, 720, 2086, 1883, 1868, 352, 786, 975, 702, 644, 3045, 965, 500, 1722, 1447, 16, 2899, 1146, 1671, 702, 644, 790, 28, 287, 5408, 4402, 3397, 14, 287, 5408, 4402, 2984, 352, 287, 5408, 7723, 1689, 7456, 87, 14, 352, 415, 532, 979, 1645, 521, 2075, 3075, 1015, 28, 388, 4066, 2770, 287, 5408, 28, 1857, 786, 975, 500, 370, 397, 2999, 2770, 287, 5408, 728, 1403, 28, 3057, 123, 14, 459, 1420, 2611, 85, 28, 342, 2999, 1222, 864, 1376, 564, 2589, 3361, 1447, 9489, 702, 644, 681, 5408, 1556, 28, 2565, 785, 436, 1682, 1695, 287, 5408, 7723, 823, 1306, 1735, 3452, 1397, 589, 370, 2743, 651, 2927, 3167, 917, 748, 2999, 2770, 657, 786, 975, 1599, 572, 823, 436, 1682, 1005, 3167, 287, 5408, 681, 5408, 12789, 87, 28, 2868, 640, 489, 287, 5408, 1556, 14, 1306, 1735, 1105, 2429, 1869, 9489, 589, 370, 2743, 651, 2927, 3167, 2114, 748, 2999, 2770, 657, 786, 975, 1599, 572, 823, 436, 1682, 1005, 3167, 9489, 16, 681, 5408, 9489, 14407, 28, 21416, 9489, 442, 2247, 572, 733, 1737, 2145, 368, 3452, 1397, 3178, 1268, 521, 920, 702, 644, 3045, 965, 2822, 1883, 15640, 9489, 3045, 965, 342, 2202, 1682, 3806, 6632, 905, 4267, 1110, 436, 1833, 953, 415, 1239, 1387, 1419, 3361, 728, 1403, 564, 2174, 2259, 352, 1695, 287, 5408, 16, 1259, 782, 529, 409, 500, 1069, 4856, 450, 532, 521, 1892, 1608, 702, 644, 3045, 965, 1883, 1735, 28, 692, 2284, 888, 2990, 28, 12303, 1634, 1035, 448, 798, 370, 4781, 1250, 1086, 3361, 901, 16, 1735, 1320, 1949, 1854, 1079, 14, 1833, 953, 1419, 3361, 305, 667, 14, 2013, 4848, 529, 445, 370, 692, 1387, 1831, 3167, 656, 1869, 9489, 16, 2515, 2075, 482, 1015, 28, 8766, 2575, 757, 532, 1869, 9489, 1800, 77, 14, 1322, 482, 3167, 9489, 14, 1988, 1015, 532, 1259, 2247, 1869, 1800, 77, 14, 897, 4272, 482, 6456, 532, 1869, 5481, 2990, 906, 757, 342, 847, 77, 16, 6815, 906, 1108, 1322, 3167, 415, 532, 2660, 632, 1869, 1800, 77, 1587, 2565, 785, 6456, 1869, 5481, 2990, 342, 4382, 77, 16, 4441, 234, 2770, 6456, 1800, 1280, 1483, 1983, 342, 879, 3574, 14, 1119, 415, 532, 370, 479, 1722, 1185, 946, 1915, 3103, 16, 1582, 2654, 368, 1892, 1608, 490, 342, 377, 1833, 953, 442, 450, 521, 620, 972, 3932, 2114, 352, 1383, 1170, 2654, 16, 5145, 377, 2827, 436, 734, 370, 479, 1869, 9489, 1800, 1280, 1483, 1983, 489, 651, 1447, 5481, 2990, 1857, 906, 1322, 482, 833, 3167, 1199, 16, 6306, 223, 18613, 1582, 823, 529, 409, 448, 820, 2873, 615, 551, 757, 2012, 1684, 342, 500, 1831, 1831, 11790, 1322, 532, 2639, 1705, 2639, 1847, 757, 1509, 16, 2515, 2075, 266, 1547, 981, 6948, 28, 342, 1892, 1608, 879, 1181, 3524, 740, 738, 377, 2067, 1403, 368, 2999, 2770, 786, 975, 1599, 572, 454, 2569, 397, 3452, 2429, 16, 532, 1869, 9489, 665, 1649, 1675, 415, 2085, 14, 1857, 786, 975, 532, 1869, 397, 2085, 352, 6483, 1866, 500, 978, 442, 632, 450, 803, 2196, 7540, 657, 4844, 979, 564, 1233, 615, 1306, 1735, 368, 1105, 1397, 1684, 16, 17507, 785, 28, 454, 3452, 1397, 2071, 503, 55, 1567, 23536, 14, 740, 2161, 368, 1800, 786, 975, 370, 1146, 2999, 2770, 1869, 9489, 728, 1403, 16, 3623, 975, 611, 370, 2356, 2999, 2770, 28, 1800, 14, 786, 975, 519, 342, 1421, 14, 4659, 14, 786, 975, 427, 342, 511, 14, 3232, 16, 2978, 445, 1419, 572, 1071, 1154, 2129, 3357, 17, 86, 4066, 2770, 14, 450, 572, 6196, 2770, 17698, 14, 21, 16, 482, 932, 1613, 445, 1869, 3357, 45, 665, 786, 975, 611, 14, 873, 1099, 45, 665, 786, 975, 519, 14, 1787, 2238, 45, 665, 786, 975, 427, 16, 1322, 397, 454, 1146, 287, 5408, 9931, 823, 445, 1286, 978, 632, 10871, 77, 11790, 11907, 77, 16, 5199, 2114, 884, 1831, 370, 11790, 16, 16538, 786, 975, 9327, 3746, 28, 415, 532, 1706, 10004, 14, 1322, 482, 529, 445, 370, 1419, 3361, 1320, 2515, 14, 2632, 953 ]
[ 1, 20653, 3963, 1682, 287, 87, 263, 1141, 6745, 9407, 12505, 377, 442, 2125, 5033, 343, 769, 489, 436, 490, 1302, 797, 16, 1682, 2202, 1682, 2202, 1682, 1682, 2202, 1682, 4480, 766, 2962, 740, 6152, 368, 4517, 1351, 2086, 7044, 454, 1095, 2540, 1520, 16024, 343, 506, 293, 2262, 2620, 685, 4116, 263, 1141, 6745, 17235, 23398, 6745, 7788, 1312, 835, 21327, 506, 1834, 1797, 1592, 1483, 1983, 2328, 3852, 905, 409, 448, 377, 582, 1316, 1049, 814, 635, 6713, 6681, 2362, 849, 681, 3964, 309, 6456, 6571, 1592, 377, 564, 1233, 615, 521, 3573, 2235, 2300, 5625, 1424, 534, 14, 1584, 2872, 2371, 19378, 15522, 287, 3964, 309, 3342, 1397, 2429, 1157, 757, 489, 388, 9172, 3837, 67, 368, 5771, 1351, 15675, 1482, 624, 645, 1520, 1672, 2161, 790, 1387, 368, 287, 87, 263, 1141, 6745, 3220, 656, 534, 2245, 640, 975, 1507, 5800, 6529, 368, 620, 4365, 490, 551, 3087, 2779, 388, 3171, 1267, 75, 14, 21146, 1100, 4189, 287, 3964, 309, 21146, 5031, 5434, 4480, 4714, 4714, 720, 12809, 2807, 1541, 521, 4181, 3624, 2158, 14493, 1833, 953, 287, 3964, 309, 5199, 1257, 14, 1349, 1345, 649, 448, 1397, 2429, 2086, 1053, 16132, 8661, 489, 6869, 4087, 2775, 509, 16024, 2012, 411, 2003, 7776, 377, 4086, 442, 1833, 953, 740, 5031, 5434, 3220, 3806, 5202, 1479, 14, 458, 448, 3325, 1035, 1302, 1334, 409, 4214, 454, 1095, 1314, 3671, 1379, 490, 16, 920, 3786, 2202, 1682, 740, 223, 315, 4373, 2073, 589, 905, 620, 922, 1302, 2328, 3852, 905, 448, 1814, 3935, 24400, 1219, 685, 16024, 415, 1833, 953, 3786, 6848, 3557, 2340, 450, 3769, 1685, 287, 87, 263, 1141, 6745, 2602, 2073, 589, 521, 3104, 8626, 274, 1145, 490, 448, 720, 5389, 1755, 1675, 17235, 23398, 6745, 388, 315, 17480, 388, 1792, 9807, 3220, 1319, 567, 733, 2247, 572, 397, 1280, 14, 1322, 1157, 1839, 5800, 6529, 748, 14, 287, 3964, 309, 274, 6072, 14844, 820, 287, 3964, 309, 16, 22631, 415, 2202, 454, 263, 1141, 6745, 920, 3786, 1371, 814, 1198, 5031, 5434, 619, 7588, 564, 1814, 6926, 397, 4517, 2565, 1955, 1069, 461, 515, 16580, 7464, 1388, 615, 2356, 377, 897, 397, 9163, 12789, 16, 920, 1634, 1434, 411, 2003, 7776, 1639, 1973, 2073, 5007, 370, 521, 436, 2435, 703, 1849, 4450, 637, 1298, 2416, 615, 637, 1298, 2380, 14, 2561, 1259, 411, 2003, 7776, 1682, 2202, 1682, 1682, 2202, 3342, 4436, 9984, 1434, 3729, 2224, 766, 4266, 290, 5220, 454, 12037, 934, 1682, 2161, 6848, 740, 5031, 5434, 5250, 509, 2561, 1259, 637, 1834, 87, 1904, 418, 24933, 8997, 72, 17578, 564, 665, 856, 75, 24512, 3655, 16126, 79, 21327, 483, 441, 9172, 14, 14046, 14808, 287, 3964, 309, 920, 3786, 6848, 632, 1783, 2533, 4588, 436, 728, 370, 479, 377, 691, 2105, 3293, 368, 9186, 1834, 4849, 74, 685, 564, 1482, 572, 1105, 2620, 490, 16, 920, 1682, 411, 745, 651, 4602, 7669, 740, 287, 3964, 309, 2073, 370, 635, 2069, 4936, 1257, 14, 458, 500, 442, 1244, 572, 2071, 1108, 14, 17235, 23398, 6745, 681, 8368, 1685, 287, 87, 3738, 263, 1141, 6745, 5089, 342, 2111, 1849, 368, 266, 2092, 19301, 4780, 454, 1319, 567, 2111, 1849, 368, 266, 2092, 19301, 454, 1563, 529, 445, 415, 1833, 953, 368, 1783, 2533, 5199, 1257, 14, 1814, 1222, 637, 10930, 955, 14720, 262, 1043, 1525, 2397, 620, 445, 14, 3786, 740, 846, 3319, 3539, 285, 309, 22567, 4936, 1257, 342, 377, 1254, 1287, 757, 1838, 1659, 2514, 3786, 415, 1833, 953, 740, 223, 315, 4373, 3220, 3806, 5202, 1479, 14, 9407, 12505, 448, 2026, 6045, 442, 1108, 4647, 285, 6409, 1054, 5622, 352, 1121, 965, 368, 1514, 1510, 16, 287, 3964, 309, 263, 1141, 6745, 16, 3277, 1036, 86, 4692, 285, 309, 287, 11083, 1141, 6745, 4293, 691, 768, 509, 342, 397, 1563, 4274, 442, 18223, 1541, 397, 888, 1817, 1364, 7898, 5211, 16, 274, 6072, 2202, 1682, 19754, 3224, 342, 458, 1512, 940, 2397, 646, 2593, 1233, 368, 1298, 436, 14, 450, 3786, 2202, 1682, 2872, 2614, 15522, 1556, 2773, 3767, 1039, 3342, 649, 2986, 3632, 3809, 2626, 5771, 12876, 1162, 9172, 91, 1797, 905, 534, 846, 287, 3964, 309, 2602, 26, 4480, 720, 4427, 2561, 1259, 665, 521, 3099, 24108, 3593, 490, 14, 3786, 1833, 953, 450, 3769, 1685, 1672, 2161, 1814, 2012, 5089, 342, 397, 646, 1512, 940, 1642, 1324, 236, 6907, 78, 300, 454, 4287, 1424, 368, 620, 445, 16, 3786, 2448, 15701, 1005, 761, 3342, 9407, 12505, 377, 833, 620, 370, 1154, 1300, 1057, 1108, 16024, 3786, 6848, 287, 3964, 309, 1459, 3963, 1682, 411, 2003, 7776, 15522, 2073, 2962, 509, 4075, 5293, 352, 1397, 2429, 2766, 640, 461, 1819, 88, 6374, 681, 862, 20466, 1187, 1645, 632, 285, 8920, 654, 998, 2073, 589, 905, 5877, 3872, 352, 1036, 3755, 656, 720, 4436, 9984, 551, 782, 14, 3786, 415, 1833, 953, 740, 223, 315, 4373, 3786, 21146, 287, 3964, 309, 740, 223, 315, 4373, 4480, 448, 7793, 14952, 397, 920, 1642, 3902, 665, 2317, 1239, 368, 1522, 3786, 1833, 953, 10381, 3342, 458, 1483, 1983, 442, 2091, 665, 1154, 479, 9407, 12505, 14, 17235, 23398, 6745, 16205, 20640, 7876, 287, 3964, 309, 3468, 3342, 1964, 640, 2942, 266, 2092, 19301, 2445, 632, 620, 445, 16, 1459, 3963, 14808, 287, 87, 263, 1141, 6745, 1592, 589, 2453, 80, 2324, 975, 10695, 3278, 368, 821, 2007, 14, 2202, 1682, 2202, 1682, 1005, 920, 13248, 1447, 665, 287, 87, 2073, 589, 1254, 370, 442, 458, 1286, 370, 479, 1231, 804, 1345, 888, 368, 458, 1672, 287, 3964, 309, 370, 9327, 3746, 377, 2073, 370, 975, 635, 1601, 342, 2013, 1507, 1847, 978, 8259, 16024, 274, 6072, 3786, 287, 3964, 309, 1672, 2161, 287, 87, 263, 1141, 6745, 6306, 521, 2186, 9399, 2108, 10341, 757, 665, 16997, 461, 515, 16580, 823, 860, 33, 2872, 2614, 1556, 2773, 3319, 3539, 285, 309, 5089, 342, 920, 458, 2019, 1737, 454, 2990, 2235, 14407, 934, 14, 17235, 23398, 6745, 3585, 1391, 17235, 23398, 6745, 20722, 1797, 75, 87, 3220, 3806, 5202, 1479, 14, 9407, 12505, 448, 2026, 6045, 442, 1108, 4647, 285, 6409, 1054, 5622, 352, 1121, 965, 368, 1514, 1510, 16, 17235, 23398, 6745, 21469, 566, 3837 ]
[ 1, 2049, 913, 640, 1576, 720, 5031, 5434, 3342, 4410, 532, 1231, 804, 1829, 4410, 368, 5771, 12876, 9882, 1084, 14090, 368, 409, 287, 3964, 309, 1874, 4480, 766, 2962, 740, 6152, 368, 4517, 1351, 2086, 7044, 454, 1095, 2540, 1520, 16024, 3786, 2448, 15701, 450, 1783, 2533, 920, 3786, 1833, 953, 3786, 6848, 1592, 377, 833, 1747, 903, 665, 1105, 1397, 2071, 415, 903, 2225, 1199, 368, 532, 2380, 2050, 3786, 21146, 287, 3964, 309, 3718, 342, 14, 1458, 2561, 1259, 12556, 1964, 14215, 651, 6563, 3139, 637, 454, 1563, 24400, 16024, 287, 87, 263, 1141, 6745, 18608, 3917, 6848, 15522, 1181, 1783, 2533, 3342, 377, 370, 3986, 7449, 489, 521, 2186, 6733, 4593, 352, 2405, 18051, 482, 397, 724, 3700, 1507, 287, 3964, 309, 422, 308, 4920, 5630, 2073, 5308, 14, 377, 1254, 370, 479, 6685, 442, 489, 24400, 14237, 86, 3171, 14, 2202, 1682, 1682, 2202, 8616, 3963, 1250, 3268, 1556, 12789, 87, 681, 23962, 7028, 3342, 649, 370, 3623, 2757, 2435, 2632, 2435, 2632, 6675, 2111, 1849, 2069, 2300, 287, 87, 2726, 262, 5727, 979, 4663, 1964, 397, 651, 1121, 965, 1834, 506, 91, 15583, 766, 1153, 1788, 489, 397, 1305, 3112, 6597, 2632, 16024, 1672, 1814, 4989, 15522, 920, 564, 3786, 1833, 953, 740, 223, 315, 4373, 3342, 1838, 567, 4082, 5070, 2461, 5522, 649, 377, 720, 6534, 4635, 1722, 1185, 415, 1672, 9489, 9327, 3746, 2899, 397, 4275, 436, 572, 665, 1483, 1983, 14, 411, 2003, 7776, 740, 2108, 370, 720, 82, 377, 8654, 1814, 7367, 1146, 2367, 740, 681, 23962, 7028, 2073, 4662, 934, 665, 17445, 15772, 352, 5731, 4670, 14, 1458, 1424, 2649, 1391, 1441, 4936, 740, 3378, 2725, 657, 1523, 582, 368, 9407, 12505, 448, 571, 9729, 934, 2086, 651, 4517, 2565, 551, 3142, 624, 1109, 624, 1109, 16, 2872, 2614, 1556, 2773, 287, 87, 3342, 7284, 1849, 665, 1391, 2725, 3602, 2592, 4812, 766, 4881, 9900, 14, 287, 87, 263, 1141, 6745, 22139, 18790, 1362, 411, 745, 651, 4602, 7669, 287, 3964, 309, 13457, 620, 445, 370, 1866, 3395, 660, 734, 607, 1201, 14, 1306, 1735, 500, 377, 1479, 1376, 2009, 733, 342, 1919, 761, 16, 2307, 1520, 1170, 287, 3964, 309, 2073, 837, 1388, 1322, 24400, 14237, 86, 3171, 342, 397, 1671, 2435, 703, 14231, 16880, 14, 3786, 1833, 953, 632, 1412, 651, 1783, 2533, 368, 532, 3220, 1157, 489, 24400, 795, 414, 14, 436, 1327, 1210, 1042, 3474, 1902, 1597, 6208, 856, 1491, 91, 506, 454, 3099, 397, 3646, 7947, 411, 2003, 7776, 1556, 12789, 87, 19754, 3224, 342, 458, 1512, 940, 2397, 646, 2593, 1233, 368, 1298, 436, 14, 864, 2213, 1682, 411, 2003, 7776, 287, 5458, 87, 2804, 287, 3964, 309, 21305, 4480, 448, 370, 479, 370, 397, 1534, 1460, 879, 1849, 3786, 1833, 953, 2139, 3220, 656, 534, 1424, 798, 1239, 3045, 4829, 4184, 1222, 766, 2625, 740, 3378, 2725, 14, 287, 3964, 309, 370, 9327, 3746, 4086, 1869, 1412, 1783, 2533, 5089, 342, 397, 3045, 2158, 1512, 940, 740, 3378, 2725, 2506, 309, 2161, 2139, 5089, 342, 1503, 490, 448, 1512, 940, 454, 377, 2136, 15588, 740, 660, 1069, 490, 14, 17235, 23398, 6745, 19361, 10089, 519, 8920, 654, 998, 305, 1589, 268, 1363, 309, 287, 87, 2073, 370, 397, 2315, 8298, 934, 734, 985, 3447, 5754, 1849, 4450, 352, 1849, 4450, 368, 567, 1108, 16, 415, 1672, 263, 1141, 6745, 15522, 9327, 3746, 3220, 1157, 489, 24400, 795, 414, 14, 436, 1327, 1210, 1042, 3474, 1902, 1597, 6208, 856, 1491, 91, 506, 454, 3099, 397, 3646, 7947, 17235, 23398, 6745, 611, 3680, 317, 4193, 23097, 85, 28, 10166, 2611, 2672, 317, 1166, 1077, 70, 1220, 681, 3964, 309, 3468, 18790, 1362, 19754, 3224, 342, 458, 1512, 940, 2397, 646, 2593, 1233, 368, 1298, 436, 21146, 450, 22567, 2230, 377, 1119, 1599, 450, 620, 445, 397, 5290, 285, 6409, 1054, 5622, 564, 1866, 3395, 2246, 3368, 3127, 4542, 4646, 1157, 489, 620, 445, 14, 287, 87, 1856, 274, 6072, 21146, 287, 3964, 309, 5199, 1257, 14, 1269, 370, 879, 797, 724, 702, 6947, 4849, 87, 18103, 1035, 6299, 352, 1980, 5843, 16, 287, 3964, 309, 4681, 74, 4967, 342, 920, 458, 1512, 940, 454, 3573, 1424, 368, 2086, 651, 724, 2235, 16024, 411, 745, 651, 18790, 1362, 411, 745, 651, 4602, 7669, 388, 8660, 411, 2003, 7776, 681, 3964, 309, 3220, 377, 479, 3170, 620, 445, 5754, 2449, 646, 1642, 10268, 368, 2166, 7776, 24490, 2480, 4082, 490, 16, 415, 1672, 2161, 263, 1141, 6745, 296, 11083, 5782, 685, 503, 868, 5067, 2449, 2787, 4829, 4184, 1222, 1843, 1015, 6655, 1834, 1491, 8093, 670, 15583, 14, 415, 1833, 953, 1181, 450, 5031, 5434, 17235, 23398, 6745, 1162, 7236, 427, 1976, 760, 414, 3437, 17589, 3342, 649, 1287, 757, 2103, 4714, 615, 3293, 368, 534, 263, 1141, 6745, 3319, 3539, 2073, 4662, 934, 665, 17445, 15772, 352, 5731, 4670, 14, 1458, 1424, 2649, 1391, 1441, 4936, 740, 3378, 2725, 657, 1523, 582, 368, 9407, 12505, 448, 571, 9729, 934, 2086, 651, 4517, 2565, 551, 3142, 624, 1109, 624, 1109, 16024, 287, 87, 263, 1141, 6745, 3786, 287, 3964, 309, 370, 5803, 3403, 377, 4480, 448, 7793, 14952, 397, 920, 1642, 3902, 665, 2317, 1239, 368, 1522, 20838, 287, 3964, 309, 3220, 1157, 489, 1534, 1460, 11087, 4785, 6272, 2371, 1154, 479, 14, 4657, 414, 343, 418, 450, 75, 271, 998, 1717, 6212, 18790, 1362, 287, 87, 285, 309, 5199, 1257, 14, 3352, 1675, 529, 733, 551, 2356, 644, 1057, 1522, 16, 287, 3964, 309, 2602, 20838, 15423, 3342, 4410, 532, 1231, 804, 1829, 4410, 368, 5771, 12876, 9882, 1084, 14090, 368, 409, 14, 287, 3964, 309, 1444, 70, 287, 87, 6518, 5516, 2804, 4480, 342, 7976, 1389, 368, 3729, 5577, 6088, 18875, 7362, 2506, 761, 740, 660, 1069, 16, 17235, 23398, 6745, 19361, 10089, 23141, 23262, 10959, 3559, 4588, 436, 3442, 24224, 728, 720, 4472, 2592, 1541, 521, 724, 6869, 3902, 905, 5389, 757, 521, 724, 6869, 3902, 14, 6196, 2770, 1448, 7367, 820, 740, 287, 3964, 309, 2872, 2614, 1520, 1170, 287, 87, 263, 1141, 6745, 461, 6505, 1042, 1201, 8531, 1035, 14, 4680, 1316, 1652, 454, 2052, 534, 2367, 11798, 1431, 16, 17235, 23398, 6745, 4637, 2185 ]
[ 1, 73, 3322, 1181, 740, 21146, 5199, 1257, 14, 3544, 1938, 461, 515, 16580, 1706, 3593, 979, 879, 797, 8673, 1534, 2733, 2054, 16, 1833, 953, 3786, 2202, 1682, 450, 223, 315, 4373, 6077, 564, 436, 1165, 368, 5771, 12876, 4234, 8673, 5402, 442, 1611, 2086, 6036, 454, 1105, 1397, 1039, 3646, 6923, 12876, 490, 14, 920, 1682, 263, 1141, 6745, 2561, 3462, 1831, 3167, 6848, 285, 309, 3342, 1747, 903, 3623, 2086, 6036, 6639, 1806, 701, 1359, 5771, 12876, 551, 1166, 1141, 3730, 1904, 14, 589, 377, 33, 660, 734, 33, 5071, 509, 448, 9102, 5907, 532, 397, 1280, 1201, 33, 1834, 1491, 21327, 483, 8542, 483, 19769, 2589, 1245, 2209, 2787, 5532, 15798, 1308, 2927, 1563, 14828, 7559, 3919, 368, 803, 17235, 23398, 6745, 611, 3680, 317, 4193, 23097, 85, 23262, 10959, 3559, 950, 1569, 1148, 953, 2532, 1419, 490, 564, 571, 3538, 5577, 1298, 436, 3, 24400, 2616, 1944, 342, 2589, 3269, 14, 3319, 3539, 285, 309, 5803, 3403, 287, 87, 285, 309, 2804, 3220, 1322, 532, 589, 1157, 757, 489, 397, 724, 6539, 2892, 917, 1199, 482, 532, 263, 1141, 6745, 2561, 3462, 9327, 3746, 761, 10423, 1011, 1391, 6703, 2303, 4120, 9558, 2632, 665, 15804, 8761, 6597, 2632, 368, 620, 14, 343, 506, 293, 2262, 287, 87, 285, 309, 17235, 23398, 6745, 461, 259, 109, 528, 49, 4850, 3737, 643, 259, 108, 35, 3342, 521, 1817, 1924, 2429, 1222, 607, 8714, 489, 458, 906, 2367, 7701, 287, 3964, 309, 1997, 3468, 2073, 2962, 509, 4075, 5293, 352, 1397, 2429, 2766, 640, 461, 1819, 88, 6374, 681, 862, 20466, 14, 15053, 2506, 309, 724, 1431, 287, 3964, 309, 13250, 3220, 409, 377, 691, 370, 589, 985, 5290, 20834, 13620, 1181, 377, 16, 3738, 263, 1141, 6745, 3342, 1397, 2429, 1157, 757, 489, 388, 9172, 3837, 67, 368, 5771, 1351, 15675, 1482, 624, 645, 1520, 14, 274, 6072, 276, 483, 287, 3964, 309, 17235, 23398, 6745, 611, 3680, 317, 1158, 13454, 8067, 4480, 2183, 564, 8544, 12519, 620, 445, 4218, 615, 986, 605, 15022, 619, 333, 570, 2092, 3132, 3113, 16, 287, 87, 2389, 309, 9218, 5202, 1479, 14, 10715, 10669, 87, 1834, 15583, 352, 521, 436, 728, 448, 4663, 442, 1110, 946, 551, 782, 16024, 6848, 1181, 740, 1783, 2533, 17235, 23398, 6745, 1158, 13454, 8067, 3171, 3282, 546, 5454, 85, 9608, 16798, 7379, 82, 1792, 3276, 1983, 4657, 7657, 836, 81, 454, 4531, 5493, 368, 3811, 10335, 1095, 1447, 1148, 490, 17235, 23398, 6745, 6495, 503, 4849, 10780, 3220, 656, 821, 1424, 798, 646, 2514, 5059, 640, 1210, 14799, 1091, 9760, 2858, 9407, 12505, 14, 833, 571, 1520, 1170, 287, 3964, 309, 17235, 23398, 6745, 1689, 6212, 795, 835, 5089, 342, 14, 458, 4218, 3872, 665, 3289, 5179, 804, 1431, 1086, 3357, 11218, 74, 506, 287, 4023, 88, 263, 1141, 6745, 4967, 342, 1522, 986, 4759, 546, 681, 9732, 728, 442, 820, 2873, 1541, 3437, 87, 81, 1162, 7236, 16024, 2448, 15701, 411, 3933, 20838, 15423, 17235, 36, 309, 19924, 2467, 4023, 655, 17221, 9218, 5202, 1479, 14, 738, 1148, 953, 2111, 1849, 13441, 16201, 261, 368, 9407, 12505, 649, 2182, 3884, 953, 16, 17235, 23398, 6745, 263, 83, 27, 48, 259, 245, 528, 132, 104, 3220, 940, 846, 620, 922, 766, 4881, 9900, 16, 3895, 370, 1194, 635, 2118, 572, 14, 15824, 2050, 1682, 411, 745, 651, 740, 681, 3964, 309, 287, 87, 263, 1141, 6745, 2307, 5985, 4201, 15578, 490, 377, 370, 1815, 342, 9407, 12505, 377, 411, 1329, 71, 1563, 572, 16, 17235, 23398, 6745, 16158, 16, 519, 7017, 2073, 5007, 2091, 1980, 637, 521, 4181, 8183, 343, 544, 1316, 4311, 740, 3378, 2725, 14, 274, 6072, 2872, 2371, 287, 3964, 309, 4086, 1869, 1371, 814, 1198, 3769, 1685, 450, 5031, 5434, 3342, 620, 445, 649, 1964, 442, 950, 3283, 1563, 2069, 1441, 4936, 368, 3356, 388, 1343, 388, 1343, 6530, 619, 4483, 624, 645, 2799, 637, 519, 835, 6922, 22316, 7723, 643, 773, 16, 17235, 23398, 6745, 12447, 10731, 655, 5794, 2073, 589, 1254, 665, 8093, 862, 414, 24849, 649, 665, 442, 276, 80, 15522, 285, 309, 263, 1141, 6745, 296, 11083, 5782, 685, 9327, 946, 1592, 377, 370, 1233, 1050, 1110, 1305, 450, 814, 509, 16, 4086, 1869, 411, 2003, 7776, 3220, 656, 534, 1424, 798, 3045, 8705, 541, 8174, 592, 80, 1441, 3324, 1015, 6655, 9407, 12505, 14, 2202, 1682, 2202, 1682, 2202, 1682, 1682, 2202, 1682, 1798, 81, 1682, 411, 2003, 7776, 3220, 656, 534, 2245, 640, 975, 1507, 5800, 6529, 368, 620, 4365, 490, 551, 3087, 2779, 388, 3171, 1267, 75, 6848, 740, 5031, 5434, 1477, 377, 4073, 290, 483, 290, 2099, 2315, 734, 1037, 2317, 1239, 5856, 3638, 1525, 2416, 1157, 2723, 16024, 411, 2003, 7776, 2108, 17235, 23398, 6745, 611, 3680, 317, 4193, 23097, 85, 28, 1162, 3834, 266, 1077, 9065, 13883, 1983, 23952, 22449, 8673, 1534, 454, 1441, 7566, 10590, 16657, 2448, 15701, 411, 82, 11170, 567, 656, 521, 436, 728, 993, 646, 370, 2052, 1182, 489, 16188, 1783, 1312, 75, 2395, 3171, 15296, 83, 1491, 14, 17235, 23398, 6745, 795, 19750, 7379, 82, 1792, 23262, 10959, 3559, 720, 1287, 2389, 1682, 287, 87, 263, 1141, 6745, 4480, 377, 1814, 1843, 9407, 12505, 482, 1298, 436, 3303, 3170, 16, 1672, 3045, 965, 287, 3964, 309, 3319, 3539, 285, 309, 2872, 2371, 5089, 342, 14, 458, 4218, 3872, 665, 3289, 5179, 804, 1431, 1086, 3357, 11218, 74, 506, 3786, 1833, 953, 287, 87, 263, 1141, 6745, 920, 14808, 287, 3964, 309, 5632, 2009, 458, 766, 1157, 1391, 489, 5771, 12876, 3573, 1788, 6088, 1613, 757, 1181, 5771, 12876, 965, 2776, 2075, 1849, 748, 2742, 1042, 287, 87, 263, 1141, 6745, 1964, 657, 5199, 1257, 14, 564, 370, 479, 1382, 1105, 1397, 2071, 9407, 3142, 352, 643, 367, 10669, 14, 3786, 6848, 2533, 2872, 2614, 15522, 6727, 567, 1286, 377, 479, 2399, 724, 2235, 6869, 263, 10666, 339, 1048, 490, 1722, 804, 738, 1703, 4517, 21146, 287, 87, 263, 1141, 6745, 2073, 4662, 14788, 665, 2626, 2389, 4231, 6337, 3310, 7228, 4459, 3602, 490, 14, 17235, 23398, 6745, 1060, 2058, 427, 8014, 1334, 5739, 1735, 1362, 3414, 3342, 442, 1210, 2130, 1541, 521, 1817, 1919, 2067, 482, 8298, 302, 1359 ]
[ 1, 77, 87, 263, 1141, 6745, 1146, 70, 3342, 458, 649, 370, 479, 2766, 640, 1671, 436, 720, 3045, 2158, 5316, 14217, 16, 287, 87, 2804, 2804, 6306, 521, 2186, 9399, 2108, 10341, 757, 665, 16997, 461, 515, 16580, 823, 860, 33, 14, 287, 87, 276, 315, 5257, 3331, 352, 651, 820, 4480, 482, 660, 490, 14, 940, 572, 454, 2086, 651, 3573, 2235, 740, 3403, 14215, 14311, 489, 397, 2315, 1441, 5520, 16, 18790, 263, 616, 9327, 946, 3220, 450, 2009, 532, 370, 2579, 1667, 660, 734, 607, 7021, 1201, 14, 4086, 1869, 1833, 953, 223, 315, 4373, 17235, 23398, 6745, 655, 4716, 13454, 14476, 8357, 3276, 1983, 9700, 1035, 724, 651, 509, 15727, 4989, 263, 1141, 6745, 15522, 4480, 377, 8924, 5372, 482, 5092, 4247, 309, 5381, 4269, 85, 16024, 287, 3964, 309, 2448, 1797, 3786, 21146, 632, 1412, 2073, 3182, 521, 12876, 1520, 1037, 782, 370, 2315, 3986, 7449, 489, 1458, 16, 2161, 263, 1141, 6745, 15522, 2073, 589, 905, 814, 635, 448, 5137, 727, 572, 6289, 1270, 2430, 3323, 368, 620, 922, 14, 2380, 2050, 920, 2872, 2614, 1556, 2773, 287, 3964, 309, 3769, 1685, 3718, 342, 14, 1458, 2561, 1259, 12556, 1964, 14215, 651, 6563, 3139, 637, 454, 1563, 24400, 16, 3786, 21146, 287, 87, 285, 309, 503, 868, 5067, 4829, 4184, 1222, 5273, 1843, 454, 6584, 4459, 14, 1459, 3963, 10590, 16657, 2448, 15701, 8844, 4856, 632, 681, 23962, 7028, 5089, 342, 920, 458, 1512, 940, 454, 4287, 1424, 368, 1298, 436, 287, 87, 25, 1274, 263, 1141, 6745, 3220, 1319, 567, 733, 2247, 572, 397, 1280, 14, 1322, 1157, 1839, 5800, 6529, 748, 14, 1672, 263, 1141, 6745, 9327, 3746, 1833, 953, 3786, 6848, 223, 315, 4373, 3342, 2183, 564, 727, 3970, 3573, 1788, 3593, 3602, 2158, 368, 1316, 1642, 4517, 1351, 461, 1819, 88, 6374, 397, 804, 1459, 734, 17235, 23398, 6745, 11863, 5943, 427, 14382, 2073, 5007, 9360, 665, 6681, 2729, 9760, 740, 4144, 1154, 479, 14, 920, 3271, 820, 740, 287, 3964, 309, 2873, 3416, 450, 5031, 5434, 3220, 940, 846, 620, 922, 766, 4881, 9900, 16, 3895, 370, 1194, 635, 2118, 572, 6848, 15522, 1181, 761, 740, 1783, 2533, 3342, 370, 397, 3712, 5766, 7405, 10678, 12837, 640, 3824, 572, 5646, 2856, 3010, 1642, 3237, 24866, 2787, 3602, 16024, 287, 87, 287, 87, 18080, 10119, 271, 13283, 592, 9097, 1036, 12801, 17235, 23398, 6745, 655, 11007, 3666, 2521, 3342, 649, 1377, 4647, 285, 6409, 368, 1514, 1510, 7228, 3414, 352, 415, 1434, 2409, 2725, 1871, 728, 14, 10278, 67, 12733, 2872, 2614, 1556, 2773, 2589, 3361, 2561, 3462, 18831, 370, 479, 2952, 615, 2636, 1431, 1839, 377, 33, 2305, 23791, 3045, 2158, 2660, 640, 1424, 4892, 965, 14, 3786, 2202, 1682, 3786, 2202, 1682, 3786, 2202, 1682, 287, 3964, 309, 1964, 657, 4480, 3757, 572, 637, 2145, 377, 2416, 1015, 4761, 436, 454, 570, 1310, 368, 9263, 1434, 12146, 16, 287, 3964, 309, 274, 6072, 14844, 820, 287, 3964, 309, 16, 22631, 920, 14360, 1556, 2773, 287, 3964, 309, 5089, 377, 589, 342, 1057, 370, 479, 2424, 3540, 9782, 14051, 1308, 397, 646, 3442, 24224, 2126, 9692, 16, 1672, 2161, 1814, 2012, 2561, 3462, 1814, 411, 2003, 7776, 287, 3964, 309, 13883, 1983, 1868, 1559, 5931, 1705, 3602, 2158, 985, 720, 3837, 685, 6683, 76, 4614, 6272, 2371, 665, 1154, 479, 814, 2511, 4881, 1447, 287, 3964, 309, 5632, 2009, 409, 377, 1357, 821, 2007, 509, 571, 521, 814, 490, 482, 660, 734, 607, 7021, 1201, 6019, 81, 1682, 681, 55, 263, 1141, 6745, 521, 1833, 953, 1181, 450, 1783, 2533, 5031, 5434, 5199, 1257, 14, 620, 1327, 6983, 571, 823, 448, 720, 1522, 436, 388, 3035, 7127, 896, 607, 1071, 1287, 16, 920, 3786, 6848, 3557, 2340, 450, 3769, 1685, 15578, 490, 377, 370, 1815, 342, 9407, 12505, 377, 411, 1329, 71, 1563, 572, 16024, 521, 6848, 1783, 2533, 1181, 920, 1682, 287, 3964, 309, 5089, 342, 920, 458, 1512, 940, 454, 4287, 1424, 368, 1298, 436, 6848, 6163, 1447, 656, 2872, 2614, 4480, 342, 7976, 1389, 368, 3729, 5577, 6088, 18875, 7362, 2506, 761, 740, 660, 1069, 16024, 17235, 23398, 6745, 19361, 10089, 7451, 685, 441, 23262, 10959, 3559, 1672, 2161, 263, 1141, 6745, 15522, 9327, 3746, 2073, 370, 12876, 1520, 734, 370, 797, 3682, 860, 482, 551, 795, 414, 21331, 10246, 87, 16, 6848, 411, 2003, 7776, 1448, 1447, 2073, 370, 635, 2069, 4936, 1257, 14, 489, 397, 2315, 266, 441, 1094, 685, 72, 2185, 18016, 14, 223, 315, 4373, 1833, 953, 17235, 23398, 6745, 461, 3171, 461, 3171, 6558, 1834, 87, 1477, 377, 4073, 290, 483, 290, 2099, 2315, 734, 1037, 2317, 1239, 5856, 3638, 1525, 2416, 1157, 2723, 16, 415, 3767, 1039, 2872, 2614, 1556, 2773, 15522, 3220, 377, 370, 1540, 820, 734, 454, 651, 534, 1940, 1053, 370, 479, 2952, 442, 3192, 3636, 509, 14, 287, 87, 16, 69, 1141, 6745, 1997, 2602, 2872, 2371, 15522, 1592, 377, 564, 1233, 615, 521, 3573, 2235, 2300, 5625, 1424, 534, 786, 975, 263, 1141, 6745, 388, 2003, 4829, 4184, 1222, 22117, 4082, 454, 10319, 14, 17235, 23398, 6745, 8763, 71, 5029, 3407, 71, 28, 11355, 1166, 4461, 2675, 920, 1397, 3167, 786, 975, 287, 3964, 309, 2073, 5007, 5429, 5530, 646, 303, 1082, 5754, 2856, 6408, 8531, 572, 1902, 1154, 479, 368, 856, 1491, 24849, 263, 1141, 6745, 12755, 5199, 1257, 14, 1280, 490, 14, 377, 589, 1319, 567, 1286, 665, 442, 4459, 20180, 9087, 16024, 920, 1287, 1434, 411, 2003, 7776, 1146, 70, 920, 1482, 1556, 2773, 287, 87, 263, 1141, 6745, 9407, 12505, 377, 370, 1095, 1314, 564, 900, 632, 521, 814, 490, 16, 2380, 2050, 1682, 287, 3964, 309, 9050, 482, 932, 14, 620, 445, 1424, 9407, 12505, 352, 521, 436, 728, 551, 2416, 2373, 16024, 377, 665, 442, 287, 3964, 309, 18790, 1362, 287, 3964, 309, 12755, 10143, 8081, 1639, 14, 370, 2649, 482, 377, 479, 1821, 6685, 489, 12733, 681, 1797, 16, 287, 87, 287, 87, 263, 1141, 6745, 5089, 377, 589, 342, 814, 657, 1316, 1642, 4775, 6927, 734, 740, 660, 1069, 490, 649, 370, 479, 3085, 4736, 442, 16024, 17235, 23398, 6745, 15944, 15, 18847, 19361, 10089, 1682, 411, 2003, 7776, 720 ]
[ 1, 10784, 2773, 681, 3964, 309, 342, 635, 2073, 370, 1892, 1608, 1140, 4214, 734, 450, 724, 2235, 6869, 263, 10666, 339, 1048, 490, 740, 1783, 3342, 521, 1523, 368, 1514, 1510, 7228, 3414, 649, 2091, 640, 450, 388, 506, 5653, 78, 3171, 14, 223, 315, 4373, 1833, 953, 4086, 287, 3964, 309, 5199, 1257, 14, 637, 1154, 479, 9407, 12505, 14, 620, 370, 479, 1305, 1100, 442, 7194, 368, 10075, 16, 3786, 263, 1141, 6745, 4480, 377, 2183, 564, 1860, 1364, 450, 620, 445, 1316, 1642, 1305, 3112, 3675, 19380, 734, 454, 1951, 6927, 490, 14, 17235, 23398, 6745, 7788, 23748, 287, 4023, 88, 263, 1141, 6745, 2073, 5007, 13441, 16201, 261, 2111, 1849, 2480, 2409, 8139, 10483, 458, 17235, 23398, 6745, 1834, 1797, 427, 414, 7788, 4480, 2183, 564, 1722, 1185, 4006, 1839, 261, 757, 1834, 418, 3837, 418, 16024, 411, 2003, 7776, 15522, 263, 1141, 6745, 2202, 1682, 10153, 5577, 4480, 3065, 1838, 454, 2086, 651, 2990, 2235, 1441, 4087, 509, 1814, 1222, 786, 975, 287, 3964, 309, 13883, 1983, 1840, 20090, 1270, 1460, 3966, 3310, 564, 1703, 4517, 2111, 1849, 368, 1248, 1706, 14, 1892, 1608, 1682, 287, 3964, 309, 4915, 9302, 9327, 3746, 4480, 2561, 1259, 720, 9407, 12505, 7120, 665, 454, 519, 6409, 1054, 5622, 13441, 16201, 261, 16, 1397, 3167, 287, 3964, 309, 4480, 720, 4427, 2561, 1259, 665, 521, 3099, 24108, 3593, 490, 14, 920, 1482, 6848, 740, 1783, 2533, 3769, 1685, 1672, 4915, 9302, 9327, 946, 2073, 5007, 370, 521, 436, 2435, 703, 1849, 4450, 637, 1298, 2416, 615, 637, 1298, 2380, 1459, 3963, 10590, 16657, 2448, 15701, 1592, 589, 582, 768, 3099, 1860, 368, 2941, 900, 5111, 17990, 368, 9407, 12505, 342, 1302, 1199, 16024, 415, 1672, 1814, 2012, 9327, 3746, 920, 4576, 1364, 1783, 2533, 5031, 5434, 3342, 1747, 903, 3623, 2086, 6036, 6639, 1806, 701, 1359, 5771, 12876, 551, 1166, 1141, 3730, 1904, 14, 589, 377, 33, 660, 734, 33, 5071, 509, 448, 9102, 5907, 532, 397, 1280, 1201, 33, 1834, 1491, 21327, 483, 8542, 483, 19769, 2589, 1245, 2209, 2787, 5532, 15798, 1308, 2927, 1563, 14828, 7559, 3919, 368, 803, 1814, 263, 1141, 6745, 2561, 3462, 3342, 1157, 1391, 489, 5771, 15253, 448, 2952, 615, 1642, 2259, 1788, 1482, 572, 955, 4441, 226, 14, 1458, 1269, 377, 370, 2315, 2300, 5625, 734, 16024, 17235, 23398, 6745, 570, 12743, 59, 274, 4420, 846, 411, 2003, 7776, 3718, 342, 388, 3035, 5731, 500, 2561, 1259, 2952, 1086, 4531, 1781, 1642, 368, 4234, 8673, 1955, 1069, 16, 3786, 21146, 287, 3964, 309, 276, 315, 5632, 2009, 458, 766, 1157, 1391, 489, 5771, 12876, 3573, 1788, 6088, 1613, 757, 1181, 5771, 12876, 965, 2776, 2075, 1849, 748, 2742, 1042, 14, 21146, 6848, 1181, 450, 5031, 5434, 17235, 23398, 6745, 519, 44, 519, 8920, 654, 998, 5105, 4480, 342, 646, 3477, 846, 1849, 4450, 761, 454, 1397, 1245, 2540, 1520, 490, 920, 3786, 6848, 740, 1783, 2533, 17446, 2235, 4829, 482, 4184, 1424, 12333, 12333, 665, 1839, 5766, 4298, 3602, 766, 720, 6208, 2632, 14, 17235, 23398, 6745, 9932, 11083, 815, 1166, 8678, 503, 10298, 75, 15, 42, 1904, 1672, 285, 309, 9327, 946, 4480, 2183, 564, 8544, 12519, 620, 445, 4218, 615, 986, 605, 15022, 619, 333, 570, 2092, 3132, 3113, 16, 287, 3964, 309, 1274, 3277, 2073, 1722, 1185, 1634, 1523, 482, 21327, 483, 11049, 14, 3786, 2448, 15701, 1667, 18608, 18790, 1362, 287, 3964, 309, 16, 68, 309, 388, 562, 1443, 1747, 903, 1105, 5940, 1695, 3887, 2067, 1259, 1071, 368, 903, 3729, 1166, 506, 263, 1141, 6745, 2620, 685, 4116, 285, 309, 3342, 409, 448, 3118, 3671, 695, 1140, 4214, 3482, 3645, 454, 397, 1312, 1168, 75, 482, 6947, 10246, 298, 76, 3171, 18790, 1362, 287, 3964, 309, 276, 315, 17235, 23398, 6745, 461, 259, 245, 528, 132, 104, 3220, 2258, 1977, 450, 529, 409, 2868, 8183, 20817, 509, 17235, 23398, 6745, 21043, 21064, 1998, 3780, 5199, 1257, 14, 1157, 489, 24400, 795, 414, 14, 436, 370, 2883, 13560, 71, 1308, 965, 3639, 4266, 352, 2883, 13560, 71, 368, 1514, 1510, 766, 1448, 4950, 14, 14808, 411, 2003, 7776, 1146, 70, 287, 3964, 309, 3786, 21146, 18608, 3917, 5647, 9494, 1140, 4214, 1039, 906, 368, 436, 1400, 649, 2183, 1308, 16, 411, 2003, 7776, 274, 4420, 5632, 2009, 509, 342, 4896, 6927, 3193, 4827, 13657, 1181, 4517, 1351, 368, 415, 660, 1534, 4775, 6927, 728, 14, 3786, 287, 87, 263, 1141, 6745, 632, 1783, 2533, 2380, 2050, 2589, 3361, 2561, 3462, 5199, 1257, 14, 1613, 490, 14, 3959, 3596, 10153, 2787, 4829, 5532, 3325, 2449, 740, 1154, 479, 9407, 12505, 649, 450, 798, 2294, 1270, 1602, 16363, 1182, 16, 415, 1833, 953, 6848, 1181, 450, 5031, 5434, 16422, 4006, 551, 454, 397, 724, 3509, 2182, 1642, 23095, 14, 1672, 1345, 2380, 2050, 13248, 1447, 287, 87, 263, 1141, 6745, 3342, 649, 4410, 703, 1199, 490, 607, 1682, 3786, 1459, 3963, 5739, 2161, 2448, 15701, 2073, 370, 635, 2069, 4936, 1257, 14, 458, 500, 442, 1244, 572, 2071, 1108, 14, 287, 3964, 309, 3164, 6848, 1814, 2012, 287, 3964, 309, 3220, 656, 534, 2245, 640, 975, 1507, 5800, 6529, 368, 620, 4365, 490, 551, 3087, 2779, 388, 3171, 1267, 75, 287, 87, 263, 1141, 6745, 342, 635, 3342, 1287, 757, 4311, 2526, 521, 2196, 2907, 368, 3959, 1057, 6736, 490, 14, 17235, 23398, 6745, 528, 7311, 85, 13569, 1347, 4729, 9, 623, 1672, 1717, 2620, 685, 4116, 5199, 1257, 14, 3524, 740, 415, 1892, 3884, 657, 620, 445, 448, 1148, 953, 2732, 733, 368, 803, 564, 1840, 5392, 1108, 2224, 4788, 368, 21783, 9186, 19819, 2158, 6848, 740, 5031, 5434, 18831, 458, 370, 2183, 564, 2405, 1507, 1838, 1659, 2514, 397, 9932, 4642, 5409, 8504, 4759, 16126, 79, 33, 14, 287, 87, 18080, 22129, 835, 17235, 23398, 6745, 24338, 23262, 10959, 3559, 3342, 377, 370, 3986, 7449, 489, 521, 2186, 6733, 4593, 352, 2405, 18051, 482, 397, 724, 3700, 1507, 287, 3964, 309, 10260, 27, 3342, 11498, 9991, 1377, 1239, 5076, 509, 2910, 2215, 2565, 5577, 280, 566, 3712, 274, 8000, 6451, 14, 287, 87, 4193, 5943, 19680, 17235, 263, 1141, 6745, 632, 1412, 1419, 4480, 766, 1157, 2723, 2561, 1259, 489, 4459 ]
[ 1, 14154, 28, 18386, 873, 3468, 541, 15023, 11646, 1146, 838, 638, 15508, 343, 1274, 11, 340, 958, 22775, 1274, 285, 2188, 623, 3519, 1187, 14785, 262, 82, 68, 6674, 7466, 7765, 4301, 290, 566, 274, 2482, 85, 11326, 4667, 18841, 266, 1061, 8698, 6674, 12300, 873, 838, 873, 758, 285, 1077, 1146, 4088, 17, 1952, 1997, 67, 340, 948, 22775, 23, 873, 3254, 17, 23, 1421, 2557, 15, 2238, 19, 340, 22775, 6498, 546, 1491, 2174, 10119, 7873, 2764, 4657, 295, 305, 8067, 3301, 4836, 263, 1469, 271, 1094, 3322, 11923, 23307, 276, 2248, 67, 290, 14314, 867, 1748, 1836, 2025, 3986, 91, 271, 2786, 685, 82, 3516, 387, 236, 441, 2389, 309, 6230, 13283, 8881, 17143, 15204, 623, 4116, 3514, 75, 305, 21039, 5619, 129, 115, 6919, 1553, 299, 82, 6807, 3767, 2389, 68, 873, 3920, 17, 22, 17, 642, 6045, 20762, 302, 84, 1904, 1748, 15095, 337, 89, 78, 21964, 68, 2830, 33, 271, 6112, 276, 80, 8067, 873, 758, 68, 2977, 26, 873, 4080, 1036, 86, 3559, 873, 3709, 17, 2123, 340, 24, 340, 1061, 17395, 2209, 2977, 26, 68, 873, 4080, 17, 1092, 12238, 1649, 706, 511, 958, 337, 841, 79, 1146, 3928, 21305, 1146, 1874, 511, 1670, 340, 25, 2575, 77, 6825, 8361, 276, 618, 299, 4957, 592, 6115, 18647, 873, 3950, 340, 958, 15, 83, 1274, 9222, 285, 23338, 6941, 17066, 17, 19, 2448, 4186, 280, 2336, 340, 73, 70, 1146, 4088, 340, 973, 22775, 642, 2977, 26, 15, 5225, 873, 2142, 17, 21, 67, 21964, 67, 1146, 3928, 17, 14367, 340, 27, 1146, 948, 23480, 17839, 290, 2884, 263, 1635, 271, 68, 445, 9554, 2482, 85, 450, 3453, 511, 2769, 302, 1329, 23142, 8444, 343, 2049, 1175, 16030, 266, 1094, 17589, 21674, 2389, 309, 3730, 22212, 1146, 838, 68, 20, 4343, 1618, 12872, 21451, 1146, 4088, 17, 3918, 1444, 2486, 12315, 302, 23261, 1933, 8678, 1491, 592, 867, 16936, 3987, 285, 1141, 14288, 5418, 1921, 298, 337, 2219, 6674, 3886, 1698, 6466, 7856, 654, 316, 2521, 6059, 67, 1146, 3928, 17, 12923, 7174, 21936, 16863, 6432, 873, 758, 68, 1077, 2977, 19, 4435, 5137, 873, 73, 1036, 86, 1588, 835, 17539, 1146, 3928, 17, 13215, 2566, 20, 15368, 285, 2188, 263, 263, 20099, 13219, 287, 1685, 266, 10409, 387, 389, 511, 67, 917, 91, 12063, 4446, 15, 2389, 309, 2693, 68, 6674, 873, 2238, 17, 20, 266, 2411, 276, 8204, 276, 9699, 5860, 1524, 2596, 1977, 6810, 271, 7374, 873, 2332, 17, 642, 917, 91, 12063, 21964, 68, 263, 20099, 13219, 17066, 17, 19, 305, 21039, 9064, 702, 290, 14314, 4435, 4193, 1748, 1836, 2025, 592, 6115, 305, 8067, 340, 22775, 873, 3468, 17143, 873, 758, 2977, 19, 867, 1146, 3928, 11902, 6985, 2389, 68, 13246, 302, 414, 541, 15023, 1146, 838, 3311, 1809, 13246, 68, 299, 11817, 21964, 271, 4510, 5860, 263, 20099, 12012, 69, 4681, 299, 2336, 262, 6462, 2693, 68, 6674, 511, 67, 7342, 873, 838, 287, 4057, 873, 3920, 3886, 271, 878, 835, 5721, 463, 81, 6553, 6289, 20073, 8361, 2764, 20836, 87, 1588, 873, 758, 68, 4657, 295, 276, 82, 68, 6674, 873, 2142, 1748, 280, 82, 13219, 266, 1094, 17589, 23307, 16030, 1522, 441, 11977, 1061, 7682, 87, 1588, 266, 1061, 8698, 6674, 21305, 17532, 285, 1141, 14288, 5418, 1921, 6422, 21964, 67, 11923, 2389, 309, 2693, 68, 6674, 12310, 3986, 91, 21674, 873, 4539, 337, 85, 3299, 274, 1061, 1685, 3559, 340, 1061, 17395, 358, 1127, 3780, 3295, 358, 3964, 2877, 24245, 23172, 302, 1329, 23142, 6432, 1444, 948, 11777, 271, 3197, 19725, 4743, 276, 80, 8067, 11907, 274, 2482, 85, 11326, 4667, 18841, 262, 3589, 16779, 223, 554, 4432, 21305, 68, 337, 14617, 69, 2662, 10087, 399, 81, 15798, 2389, 312, 8881, 11108, 274, 2983, 511, 1670, 340, 25, 22775, 1274, 276, 298, 2262, 4373, 1924, 2389, 309, 3730, 2977, 21, 3811, 17066, 17, 1274, 7743, 2389, 309, 76, 309, 4341, 873, 2142, 17, 21, 67, 337, 3961, 5223, 12300, 5769, 2448, 1068, 20389, 2775, 873, 758, 68, 1077, 271, 20, 299, 73, 3924, 68, 6674, 280, 2336, 18319, 69, 5721, 463, 81, 21451, 10119, 7873, 20836, 87, 1588, 9064, 702, 262, 86, 69, 592, 3730, 3986, 91, 6965, 1924, 4435, 2389, 309, 6230, 86, 4121, 18432, 2566, 67, 3886, 262, 3589, 16779, 305, 8067, 290, 14314, 5799, 19274, 16230, 917, 71, 1084, 15053, 873, 2557, 6518, 8503, 4361, 2025, 2389, 309, 298, 68, 6674, 873, 2142, 17, 21, 67, 271, 8831, 18386, 5619, 129, 115, 6919, 285, 1077, 1553, 12238, 1649, 706, 2270, 81, 24334, 266, 1491, 6127, 285, 878, 17438, 19879, 12310, 3811, 16109, 1323, 274, 2983, 290, 92, 10796, 340, 19762, 302, 3834, 616, 90, 7342, 6424, 422, 998, 343, 998, 1562, 5769, 340, 1061, 17395, 11326, 4667, 21964, 68, 21305, 68, 340, 26, 22775, 5629, 17066, 17, 1274, 2448, 25, 22775, 642, 3994, 89, 1141, 70, 2025, 2448, 592, 9097, 6059, 67, 6553, 4201, 9001, 867, 2395, 506, 873, 758, 67, 340, 20864, 20156, 6518, 87, 3453, 917, 91, 12063, 13246, 68, 2706, 4836, 11821, 873, 758, 2026, 81, 873, 3664, 17, 23, 340, 958, 22775, 1274, 2448, 3398, 15575, 16399, 305, 21039, 23307, 23172, 6498, 546, 1491, 10381, 546, 5137, 266, 1491, 21964, 2389, 309, 2693, 68, 6674, 12300, 2764, 2209, 4193, 358, 1127, 3780, 3295, 18654, 263, 20099, 13219, 867, 87, 873, 2142, 17, 1851, 271, 2786, 685, 82, 3516, 21964, 67, 17839, 873, 958, 69, 12012, 70, 276, 2248, 67, 7856, 654, 873, 758, 68, 340, 973, 1421, 2833, 2448, 15029, 14076, 8924, 289, 1078, 873, 2769, 17, 973, 2448, 958, 15, 83, 1274, 287, 14751, 271, 1094, 3322, 8361, 68, 3870, 81, 2389, 6948, 1491, 10749, 6985, 271, 878, 835, 3571, 382, 71, 4348, 285, 8357, 16230, 6209, 262, 10882, 4667, 262, 268, 74, 14785, 18556, 511, 3124, 337, 85, 3299, 274, 2482, 815, 82, 4667, 9729, 4213, 16052, 2389, 309, 76, 309, 340, 654, 1094, 8753, 4343, 21305, 302, 414, 17171, 276, 1068, 560, 3589, 998, 70, 998, 16863, 11749, 2675, 873, 3022, 299, 11817, 23307, 946, 75, 89, 6402, 873, 3468, 5769, 262, 3589, 16779, 20836, 87, 1588, 14367, 17066, 873, 758, 511, 3124, 340, 22775, 290, 14314 ]
[ 1, 23533, 4915, 9302, 9327, 946, 11139, 1042, 1219, 506, 85, 3198, 261, 78, 2095, 352, 521, 436, 368, 2717, 2084, 2005, 9782, 1424, 766, 1397, 2429, 846, 287, 87, 263, 1141, 6745, 9087, 2136, 368, 1871, 2725, 3058, 864, 3257, 80, 454, 6104, 14340, 5285, 5824, 1154, 479, 368, 519, 558, 643, 3257, 7508, 14, 2380, 2050, 2872, 2614, 287, 11083, 1141, 6745, 17235, 23398, 6745, 8763, 71, 5029, 3407, 71, 15290, 685, 28, 388, 4759, 1679, 1166, 11583, 13706, 21327, 506, 342, 397, 454, 651, 521, 436, 1774, 1769, 352, 660, 1069, 7092, 368, 1834, 2548, 1797, 263, 1141, 6745, 1814, 2012, 11139, 1042, 5055, 5067, 3963, 271, 2718, 490, 442, 8650, 1308, 5734, 10695, 2464, 8731, 2179, 1525, 7466, 7765, 14, 901, 920, 1814, 411, 2003, 7776, 17235, 23398, 6745, 655, 4716, 13454, 14476, 8357, 10808, 16864, 33, 5731, 3461, 766, 8055, 1211, 2674, 733, 1305, 798, 21489, 2235, 377, 1605, 16, 6518, 92, 4193, 5943, 11139, 1042, 409, 377, 833, 4218, 665, 3087, 10955, 368, 6581, 14, 302, 84, 998, 1077, 2448, 15701, 263, 1141, 6745, 287, 87, 11139, 1042, 342, 5872, 1814, 1182, 761, 368, 620, 922, 2695, 3738, 285, 309, 20935, 11139, 1042, 409, 1634, 821, 922, 582, 768, 454, 397, 1379, 14, 3084, 1987, 23630, 5067, 571, 6255, 620, 3831, 3671, 695, 370, 479, 4628, 1902, 16024, 287, 11083, 1141, 6745, 17102, 3786, 287, 3964, 309, 21146, 3220, 2742, 1042, 458, 448, 11726, 358, 330, 656, 620, 922, 1100, 572, 2454, 9238, 569, 986, 1081, 6956, 13277, 63, 521, 6848, 1783, 2533, 1181, 761, 1592, 2227, 768, 821, 922, 500, 10768, 13899, 450, 2009, 821, 922, 571, 635, 14, 442, 1579, 33, 14, 287, 3964, 309, 15522, 10119, 3769, 1685, 450, 5031, 5434, 11403, 7121, 1944, 1259, 9573, 4361, 81, 368, 436, 8792, 9353, 342, 1755, 1444, 16, 1544, 2872, 2371, 1556, 2773, 223, 315, 4373, 16864, 4736, 489, 738, 620, 445, 720, 276, 1572, 665, 1953, 2916, 368, 6537, 856, 75, 483, 8093, 643, 6073, 418, 16024, 271, 765, 450, 75, 5604, 69, 343, 835, 263, 1141, 6745, 17102, 920, 1682, 287, 87, 411, 745, 651, 4602, 7669, 4480, 1854, 4736, 489, 415, 786, 2112, 2639, 3134, 2460, 22207, 6104, 551, 1857, 3682, 17684, 16, 17235, 23398, 6745, 1312, 6305, 3282, 5732, 807, 1834, 87, 8093, 506, 16375, 10371, 1592, 946, 768, 946, 2514, 632, 646, 1231, 640, 368, 821, 1834, 71, 500, 3230, 6725, 2091, 4144, 1441, 1879, 14, 9069, 450, 75, 5604, 69, 343, 835, 17235, 23398, 6745, 611, 3680, 317, 4193, 23097, 85, 28, 10166, 2611, 2672, 317, 1166, 1077, 70, 1220, 21327, 506, 15308, 448, 370, 1645, 691, 2836, 632, 888, 1817, 368, 16402, 856, 1491, 8542, 483, 6848, 1181, 740, 1783, 2533, 3769, 1685, 6537, 544, 4989, 740, 4101, 3338, 368, 21327, 506, 15308, 1287, 757, 14407, 1091, 2283, 15141, 14, 10590, 16657, 271, 15308, 1839, 2075, 411, 2003, 7776, 16864, 4736, 489, 738, 856, 75, 6918, 81, 370, 397, 1460, 1562, 2526, 2069, 2252, 454, 2202, 1682, 490, 16, 1520, 1170, 287, 3964, 309, 846, 18608, 3917, 10808, 16864, 1613, 490, 1005, 888, 1154, 1300, 820, 2663, 1268, 1637, 16024, 521, 2202, 1682, 740, 1783, 2533, 21146, 1181, 223, 315, 4373, 4588, 1105, 2202, 1194, 5273, 10369, 352, 2334, 646, 1287, 757, 442, 1634, 798, 637, 2416, 1525, 2417, 368, 3084, 1602, 16, 1682, 6848, 287, 87, 263, 1141, 6745, 503, 696, 837, 1371, 2071, 415, 1358, 4634, 1483, 837, 352, 6581, 3437, 74, 685, 89, 87, 879, 5877, 3872, 14, 223, 315, 4373, 1833, 953, 17235, 23398, 6745, 8763, 71, 5029, 3407, 71, 28, 570, 1077, 9065, 1998, 3780, 21327, 506, 11581, 3788, 2035, 370, 2649, 635, 342, 1036, 3755, 450, 972, 2007, 803, 567, 920, 1682, 287, 3964, 309, 3393, 1383, 5070, 368, 21327, 506, 15308, 14, 4980, 482, 370, 479, 1634, 798, 1667, 541, 121, 2776, 4524, 368, 14457, 3198, 337, 22263, 16, 920, 1682, 2012, 263, 1141, 6745, 12032, 685, 3919, 287, 3964, 309, 11139, 1042, 6584, 1525, 1639, 377, 897, 1849, 482, 1037, 1201, 2012, 287, 87, 11139, 1042, 620, 922, 766, 727, 5814, 1953, 2916, 368, 803, 1037, 1095, 2266, 14, 17235, 23398, 6745, 7866, 1166, 8678, 17235, 23398, 6745, 23097, 317, 11487, 503, 10295, 782, 14, 11239, 4836, 8395, 352, 4836, 8395, 377, 479, 3174, 1035, 16863, 1783, 370, 479, 2203, 2158, 1882, 1108, 3786, 21146, 740, 5031, 5434, 5632, 2009, 436, 1842, 941, 786, 534, 16864, 691, 1233, 368, 4788, 903, 786, 534, 3382, 16024, 6848, 411, 2003, 7776, 920, 3786, 287, 3964, 309, 263, 1141, 6745, 11139, 1042, 2918, 1916, 582, 377, 860, 14, 409, 879, 4075, 1383, 589, 377, 33, 20838, 15423, 2448, 15701, 1146, 16, 24, 3895, 1821, 6685, 14, 1370, 6857, 1057, 1108, 3132, 3113, 748, 797, 16024, 17235, 23398, 6745, 655, 91, 5299, 1446, 317, 15072, 2672, 815, 1814, 411, 2003, 7776, 3356, 1842, 941, 534, 21327, 506, 11409, 506, 3809, 934, 656, 1424, 798, 903, 2225, 3382, 352, 903, 2225, 427, 506, 3198, 16, 287, 5408, 786, 702, 3995, 7476, 1244, 33, 16402, 856, 1491, 8542, 483, 1424, 436, 2589, 3461, 1065, 670, 1563, 352, 15804, 8761, 358, 1898, 803, 14, 2448, 15701, 340, 69, 11646, 18398, 920, 1682, 10153, 5577, 287, 3964, 309, 11139, 1042, 2283, 1550, 4761, 4430, 368, 821, 922, 342, 2454, 14443, 1849, 28, 511, 14, 19, 11822, 293, 4025, 28, 511, 14, 3664, 10785, 1608, 28, 511, 14, 759, 18932, 1110, 2005, 28, 511, 13954, 2409, 28, 511, 15370, 1387, 28, 511, 63, 3738, 290, 309, 11139, 1042, 454, 1370, 6857, 490, 14, 620, 445, 589, 3085, 1326, 768, 2111, 1849, 1397, 2429, 352, 1110, 946, 368, 1298, 436, 342, 1722, 1185, 2067, 1403, 14, 4915, 9302, 2620, 685, 4116, 1682, 287, 3964, 309, 740, 223, 315, 4373, 8317, 489, 6867, 3729, 436, 14, 6867, 3729, 6869, 14, 6867, 3729, 1639, 1198, 2480, 14, 276, 16, 88, 16, 3786, 6848, 632, 1412, 1783, 2533, 15688, 2075, 1397, 2429, 8721, 3139, 368, 3729, 16864, 10542, 1079, 1257, 342, 3657, 1400, 16024, 2202, 1682, 665, 920, 1682, 411, 2003, 7776, 740, 287, 87, 263, 1141, 6745, 11139, 1042, 757, 7262, 368, 786, 1039 ]
[ 1, 77, 3964, 309, 1874, 3080, 1358, 4634, 1483, 837, 450, 691, 14, 1185, 1358, 692, 1121, 8093, 523, 10542, 500, 2808, 2085, 454, 1095, 1314, 1086, 287, 3964, 309, 1787, 2935, 10808, 16864, 1613, 490, 1005, 888, 1154, 1300, 820, 2663, 1268, 1637, 16, 278, 920, 564, 4584, 1239, 1783, 2533, 920, 1682, 285, 8920, 654, 998, 3167, 11139, 1042, 1222, 490, 7454, 748, 397, 2315, 1821, 489, 1222, 1597, 1245, 411, 2003, 7776, 18608, 3917, 8317, 489, 1015, 490, 1322, 377, 571, 823, 377, 571, 442, 704, 2073, 1424, 798, 1834, 71, 856, 1491, 12430, 649, 691, 768, 1834, 71, 6537, 83, 75, 1857, 2805, 1286, 1842, 3134, 2129, 1482, 2938, 16, 278, 287, 3964, 309, 287, 3964, 309, 2602, 17235, 23398, 6745, 795, 10058, 10403, 16110, 28, 986, 4759, 2656, 286, 7876, 5371, 21327, 506, 15308, 3174, 450, 821, 1358, 11909, 1843, 4761, 3893, 691, 1553, 263, 616, 287, 3964, 309, 21327, 506, 15308, 448, 370, 1645, 691, 2836, 632, 888, 1817, 368, 16402, 856, 1491, 8542, 483, 278, 411, 2003, 7776, 363, 2817, 7780, 2161, 3786, 1833, 953, 5031, 5434, 11403, 846, 448, 1079, 15861, 2129, 1119, 377, 4662, 2454, 16867, 1198, 63, 572, 955, 1639, 14, 1639, 572, 7229, 3437, 967, 68, 566, 897, 370, 1233, 1050, 2380, 436, 1682, 2593, 1233, 615, 993, 846, 352, 296, 616, 343, 716, 521, 1397, 4239, 1512, 529, 16, 17235, 23398, 6745, 1219, 483, 11409, 1997, 2602, 11139, 1042, 2283, 1550, 4761, 4430, 368, 821, 922, 342, 2454, 14443, 1849, 28, 511, 14, 19, 11822, 293, 4025, 28, 511, 14, 3664, 10785, 1608, 28, 511, 14, 759, 18932, 1110, 2005, 28, 511, 13954, 2409, 28, 511, 15370, 1387, 28, 511, 63, 278, 17235, 23398, 6745, 519, 309, 7117, 519, 8920, 654, 998, 15498, 287, 87, 287, 3964, 309, 5082, 1937, 2918, 21327, 506, 727, 5814, 646, 6686, 5293, 1642, 3902, 454, 3682, 9186, 6088, 17235, 23398, 6745, 1312, 17221, 655, 17221, 11139, 1042, 415, 1726, 15, 21282, 837, 1388, 761, 352, 448, 442, 2107, 3813, 278, 920, 1814, 285, 8920, 654, 998, 1883, 1735, 4492, 3029, 1556, 2773, 681, 3964, 309, 11139, 1042, 14, 4761, 2283, 1550, 368, 821, 922, 342, 2454, 14443, 1849, 28, 511, 11822, 293, 4025, 28, 511, 14, 1766, 10785, 1608, 28, 511, 14, 2798, 18932, 1110, 2005, 28, 511, 13954, 2409, 28, 511, 15370, 1387, 28, 511, 63, 21146, 4186, 7846, 397, 920, 1854, 1157, 14, 377, 370, 940, 2388, 1357, 724, 2464, 2179, 1745, 3615, 1388, 278, 2161, 6848, 450, 5031, 5434, 17235, 23398, 6745, 10159, 3197, 317, 4193, 1312, 605, 1267, 5719, 1303, 2742, 1042, 33, 1834, 4614, 3437, 71, 9700, 5737, 2158, 411, 2003, 7776, 1146, 70, 11139, 1042, 534, 448, 1231, 804, 646, 3477, 846, 377, 479, 2952, 442, 368, 534, 278, 263, 1141, 6745, 15522, 9327, 3746, 521, 6848, 15522, 1181, 740, 1783, 2533, 503, 1651, 1847, 71, 1919, 368, 2593, 16864, 377, 2183, 564, 821, 1424, 798, 22452, 2712, 3317, 287, 3964, 309, 11139, 1042, 409, 1634, 821, 922, 582, 768, 454, 397, 1379, 14, 3084, 1987, 23630, 5067, 571, 6255, 620, 3831, 3671, 695, 370, 479, 4628, 1902, 16, 278, 274, 6072, 3786, 287, 87, 285, 309, 305, 1589, 268, 1363, 309, 287, 3964, 309, 263, 1141, 6745, 18608, 3917, 21327, 506, 15308, 382, 964, 10978, 5033, 5067, 657, 620, 448, 1964, 572, 1037, 509, 665, 2071, 415, 8246, 1563, 16, 3767, 1039, 734, 2872, 2614, 1556, 2773, 15522, 10295, 782, 14, 2999, 2770, 2071, 2202, 1682, 740, 1095, 1314, 993, 448, 2952, 1997, 28, 511, 278, 920, 2246, 2024, 4584, 1239, 5031, 5434, 287, 3964, 309, 6686, 704, 287, 87, 263, 1141, 6745, 343, 506, 10360, 4186, 21146, 287, 3964, 309, 847, 1952, 21327, 506, 11409, 506, 14, 3382, 76, 835, 352, 427, 506, 3198, 2575, 757, 7266, 1403, 632, 2111, 1849, 17235, 23398, 6745, 8690, 1094, 85, 1998, 3780, 11139, 1042, 409, 733, 5918, 5505, 846, 860, 409, 377, 2561, 1259, 1091, 1953, 2916, 450, 397, 2202, 1682, 2107, 3813, 2807, 2183, 1308, 397, 5872, 12965, 6835, 278, 17235, 19924, 656, 734, 2107, 640, 846, 287, 87, 2602, 1592, 946, 768, 532, 377, 479, 3051, 3170, 564, 1231, 640, 571, 3802, 489, 3893, 1563, 1005, 352, 2990, 2729, 1005, 368, 803, 415, 6848, 454, 263, 1141, 6745, 19819, 2776, 368, 724, 296, 1043, 6910, 6556, 740, 757, 21327, 506, 15308, 1305, 798, 397, 17454, 2136, 2069, 2300, 16, 521, 6848, 15522, 1181, 740, 1783, 2533, 1833, 953, 4584, 1239, 1783, 2533, 10808, 16864, 370, 479, 582, 342, 436, 2303, 761, 6581, 16, 10634, 681, 3964, 309, 11139, 1042, 458, 1157, 1391, 489, 1108, 724, 11218, 414, 92, 75, 740, 2927, 14, 646, 1854, 2531, 2071, 11218, 414, 92, 75, 4298, 352, 11218, 414, 92, 75, 4829, 879, 1849, 278, 20338, 1447, 740, 681, 3964, 309, 920, 3786, 6848, 450, 223, 315, 4373, 4480, 1854, 4736, 489, 738, 3712, 5766, 397, 786, 17687, 9817, 2114, 1391, 7680, 748, 1146, 1099, 695, 1037, 2202, 1682, 2561, 3462, 8317, 489, 1434, 1858, 1057, 1524, 14, 7229, 3437, 967, 68, 566, 448, 978, 442, 1755, 1800, 16, 1544, 1211, 3593, 14, 2569, 1721, 748, 873, 16, 1544, 1211, 3593, 1037, 509, 14, 620, 442, 7229, 3437, 967, 68, 566, 1599, 665, 812, 11029, 6733, 6869, 2143, 278, 3786, 6848, 740, 223, 315, 4373, 5400, 5153, 564, 1397, 3167, 681, 3964, 309, 1872, 2344, 352, 13088, 654, 637, 1834, 71, 6537, 83, 75, 352, 10955, 4524, 3139, 448, 442, 2480, 8389, 2259, 4658, 797, 695, 1230, 766, 3365, 1198, 24933, 795, 546, 2248, 1168, 17259, 4642, 22079, 3655, 16, 415, 6848, 1783, 2533, 1181, 21327, 506, 15308, 370, 1305, 3112, 1316, 1534, 448, 1737, 2259, 637, 2381, 16, 278, 17235, 23398, 6745, 519, 36, 6226, 21146, 10590, 16657, 12825, 582, 368, 2593, 16864, 2399, 2868, 3839, 368, 397, 651, 2589, 3461, 3806, 5202, 1424, 798, 397, 436, 897, 1183, 2139, 4083, 1231, 1119, 4120, 2230, 81, 16, 3786, 975, 3786, 11403, 7121, 1944, 1259, 9573, 4361, 81, 368, 436, 8792, 9353, 342, 1755, 1444, 16, 1544, 278, 2872, 2614, 1300, 1121, 287, 3964, 309, 415, 1672, 263, 1141, 6745, 2561, 3462, 2073, 691 ]
[ 1, 22494, 4086, 1833, 953, 740, 5031, 5434, 11139, 1042, 16402, 856, 1491, 8542, 483, 733, 3290, 2205, 768, 655, 298, 3666, 81, 370, 479, 4266, 290, 5220, 1721, 397, 1095, 1314, 1201, 274, 6072, 5031, 5434, 11139, 1042, 342, 4231, 397, 1042, 14, 352, 1737, 2145, 3671, 1042, 637, 1503, 821, 922, 1183, 615, 2085, 1039, 2868, 3104, 278, 3319, 3539, 285, 309, 370, 9327, 3746, 377, 343, 83, 2465, 287, 87, 1274, 6575, 12935, 3503, 368, 21327, 506, 11581, 1157, 489, 738, 16402, 856, 1491, 8542, 483, 1100, 442, 2307, 1110, 1381, 490, 4980, 482, 448, 6926, 2019, 16, 20838, 15423, 1334, 5739, 2448, 15701, 16864, 5217, 900, 10189, 454, 2052, 500, 2086, 1053, 3181, 2205, 16, 278, 17235, 23398, 6745, 13706, 343, 780, 3806, 5202, 263, 1141, 6745, 15522, 9327, 3746, 1821, 489, 2454, 86, 997, 2388, 38, 14109, 1158, 91, 815, 63, 1021, 2739, 1105, 14, 458, 3208, 748, 397, 2315, 3786, 21146, 3786, 6848, 11139, 1042, 529, 409, 733, 370, 479, 2246, 2024, 1370, 1239, 740, 2961, 82, 795, 4155, 12840, 489, 646, 2054, 1502, 368, 4197, 1773, 1755, 509, 278, 21146, 1978, 1798, 81, 1814, 411, 2003, 7776, 10295, 782, 14, 454, 2779, 4046, 1387, 368, 821, 14, 2086, 651, 3712, 5766, 368, 4343, 1448, 2480, 2409, 442, 2091, 640, 637, 1095, 2540, 1520, 448, 442, 4576, 1091, 14, 352, 797, 3639, 2075, 3639, 2712, 728, 1403, 448, 2107, 572, 3893, 2085, 615, 397, 660, 1069, 1005, 450, 821, 16, 287, 3964, 309, 2490, 1196, 866, 1483, 837, 5782, 1005, 1287, 757, 14, 884, 7229, 3437, 967, 68, 566, 377, 479, 837, 1383, 615, 458, 1201, 14, 10170, 1447, 978, 442, 1005, 342, 814, 837, 1388, 761, 16, 278, 17235, 23398, 6745, 14255, 643, 2089, 2202, 1682, 2202, 1682, 2202, 1682, 2202, 1682, 2202, 1682, 12825, 2107, 757, 3856, 14703, 368, 2593, 21327, 506, 1854, 1079, 482, 397, 1261, 4612, 266, 2092, 19301, 681, 23962, 7028, 2804, 3995, 7476, 1244, 33, 16402, 856, 1491, 8542, 483, 1424, 436, 2589, 3461, 1065, 670, 1563, 352, 15804, 8761, 358, 1898, 803, 278, 3751, 2056, 17235, 19924, 1482, 1833, 953, 740, 5031, 5434, 16864, 570, 548, 377, 1902, 3574, 6009, 22354, 397, 1280, 1201, 28, 812, 12232, 2776, 2776, 4, 1833, 953, 3786, 6848, 3557, 2340, 450, 3769, 1685, 8317, 489, 646, 1512, 940, 368, 15625, 2042, 23452, 316, 13011, 727, 15625, 2042, 643, 2676, 4537, 14, 1071, 1187, 1645, 368, 1834, 71, 6537, 83, 75, 14, 15625, 2042, 643, 2676, 4537, 1269, 1831, 879, 837, 1383, 615, 15625, 2042, 23452, 316, 14, 884, 821, 1269, 1327, 1187, 442, 5060, 1608, 1357, 1268, 482, 15625, 2042, 23452, 316, 16, 278, 17235, 23398, 6745, 519, 566, 12733, 17235, 23398, 6745, 519, 309, 7117, 655, 17221, 15498, 10808, 21327, 506, 1305, 798, 768, 2532, 1667, 14, 1556, 1430, 352, 646, 4591, 370, 2067, 482, 521, 4181, 8183, 8531, 17235, 23398, 6745, 18715, 18715, 8317, 489, 4876, 3139, 8139, 10483, 3087, 2779, 1037, 16, 278, 3319, 3539, 285, 309, 271, 13283, 17235, 23398, 6745, 20224, 15040, 2384, 519, 1614, 17414, 11978, 873, 11139, 1042, 2042, 2116, 368, 4459, 16402, 19649, 81, 442, 5285, 5824, 1541, 965, 2409, 2733, 2054, 15522, 4480, 1854, 4736, 489, 738, 2428, 572, 397, 5872, 344, 121, 82, 665, 2480, 2409, 352, 479, 2116, 368, 821, 922, 16, 278, 2872, 2614, 1148, 953, 1140, 1140, 21146, 3769, 1685, 10808, 16864, 22076, 757, 1424, 3573, 7680, 740, 757, 10678, 12837, 615, 2356, 1847, 370, 479, 1424, 2088, 16, 920, 3786, 1833, 953, 450, 1783, 2533, 5031, 5434, 21327, 506, 11581, 377, 4662, 1424, 975, 509, 14457, 3198, 4812, 2409, 278, 287, 87, 285, 309, 3786, 287, 87, 263, 1141, 6745, 450, 340, 69, 16864, 11581, 649, 1305, 798, 1370, 6857, 490, 733, 370, 479, 1250, 3268, 442, 16, 1833, 953, 3786, 1459, 3963, 450, 5031, 5434, 8317, 489, 646, 1512, 940, 368, 15625, 2042, 23452, 316, 13011, 727, 15625, 2042, 643, 2676, 4537, 14, 1071, 1187, 1645, 368, 1834, 71, 6537, 83, 75, 14, 15625, 2042, 643, 2676, 4537, 1269, 1831, 879, 837, 1383, 615, 15625, 2042, 23452, 316, 14, 884, 821, 1269, 1327, 1187, 442, 5060, 1608, 1357, 1268, 482, 15625, 2042, 23452, 316, 16, 278, 1833, 953, 1005, 761, 450, 5031, 5434, 920, 3786, 1371, 814, 1198, 5031, 5434, 519, 1651, 8395, 489, 7466, 6597, 14, 1834, 1797, 1219, 506, 1448, 5272, 7840, 1833, 953, 3786, 6848, 740, 1783, 2533, 11139, 1042, 821, 922, 448, 720, 5800, 1773, 1541, 2673, 2205, 29, 1322, 821, 922, 377, 1814, 1222, 768, 1503, 1244, 368, 821, 922, 342, 397, 1708, 1326, 3477, 1005, 287, 3964, 309, 2602, 2872, 2371, 17235, 23398, 6745, 11353, 7253, 6947, 11318, 2009, 21327, 506, 15308, 691, 768, 703, 4233, 766, 3911, 10202, 702, 9489, 15522, 8317, 489, 646, 3477, 846, 368, 4087, 2036, 1057, 4761, 14, 436, 370, 879, 797, 2856, 7899, 278, 3319, 2042, 285, 309, 4186, 287, 3964, 309, 263, 1141, 6745, 6701, 1211, 9353, 24973, 8261, 4144, 1871, 955, 8392, 1091, 1667, 14192, 6791, 4261, 377, 1767, 5465, 920, 3786, 1334, 5739, 2448, 15701, 4480, 1854, 4736, 489, 738, 1108, 7559, 1326, 1817, 1199, 490, 448, 442, 692, 2111, 1944, 572, 1902, 804, 1935, 448, 1737, 352, 2742, 1042, 1231, 1119, 2086, 953, 16, 278, 3786, 6848, 740, 1783, 2533, 1672, 287, 3964, 309, 5803, 3403, 6701, 1211, 9353, 24973, 8261, 4144, 1871, 955, 8392, 1091, 1667, 14192, 6791, 4261, 377, 1767, 5465, 415, 6848, 740, 1783, 2533, 4480, 1854, 4736, 489, 738, 637, 1640, 2572, 5396, 757, 1510, 564, 1326, 2090, 2766, 640, 646, 6272, 3873, 368, 4222, 10153, 16, 278, 287, 3964, 309, 6372, 1722, 1891, 1447, 287, 3964, 309, 17446, 2235, 368, 2593, 21327, 506, 6556, 75, 1091, 482, 521, 1121, 4256, 8729, 2807, 3713, 223, 315, 4373, 5031, 5434, 3769, 1685, 6848, 1005, 740, 5031, 5434, 6328, 3729, 21327, 506, 11409, 506, 1834, 75, 2445, 4275, 534, 388, 3171, 89, 15950, 3171, 748, 5096, 695, 1037, 16, 920, 4881, 1447, 637, 287, 87, 263, 1141, 6745, 1892, 1608, 1682, 285, 8920, 654, 998, 10295, 782, 14, 11239, 4836, 8395, 352, 4836, 8395, 377, 479, 3174, 1035, 16863, 1783, 370, 479 ]
[ 1, 15808, 685, 4116, 276, 315, 13794, 2075, 1953, 4552, 3639, 2712, 368, 21327, 506, 11409, 506, 1370, 6160, 1231, 804, 4524, 3139, 368, 4839, 1351, 411, 2003, 7776, 15522, 2561, 3462, 13706, 21327, 506, 607, 3165, 665, 12505, 681, 1841, 2411, 463, 1053, 489, 2584, 803, 352, 397, 2707, 436, 1455, 1054, 14, 8654, 571, 1520, 1170, 681, 3964, 309, 287, 3964, 309, 19746, 21327, 506, 8542, 506, 3963, 3520, 442, 8055, 454, 3099, 1563, 14, 6597, 2632, 352, 2069, 1265, 482, 397, 4181, 8183, 20838, 15423, 7044, 271, 11312, 867, 67, 287, 3964, 309, 75, 8317, 489, 1370, 6857, 2397, 1989, 3370, 8721, 3139, 823, 2126, 3353, 748, 16024, 415, 1672, 2161, 1814, 4989, 15522, 263, 1141, 6745, 2561, 3462, 370, 1314, 12968, 377, 11443, 572, 897, 370, 415, 1671, 15691, 14, 271, 3526, 14, 15691, 14, 15691, 14, 8058, 352, 15691, 551, 4249, 7014, 1330, 14, 276, 16, 88, 16, 287, 3964, 309, 1146, 3312, 11139, 1042, 521, 1523, 368, 4896, 2112, 1834, 418, 6191, 3522, 2324, 748, 797, 14, 17235, 23398, 6745, 19378, 8939, 3786, 287, 87, 25, 1274, 5719, 1303, 2742, 1042, 33, 1834, 4614, 3437, 71, 9700, 5737, 2158, 17235, 23398, 6745, 7379, 85, 13781, 519, 22849, 1477, 1483, 1259, 720, 978, 4427, 1541, 646, 2174, 7337, 4082, 5070, 368, 8383, 4603, 8776, 1588, 352, 2111, 1849, 2480, 2409, 8924, 5372, 551, 782, 16024, 8844, 4856, 681, 23962, 7028, 920, 1419, 363, 2817, 7780, 411, 2003, 7776, 10808, 16864, 2300, 768, 3008, 500, 3011, 3756, 1550, 2111, 1849, 454, 955, 448, 2019, 1737, 16, 651, 1783, 2533, 368, 532, 3193, 296, 1043, 6910, 6556, 3602, 740, 6152, 757, 368, 21327, 506, 15308, 2107, 397, 2990, 2235, 4618, 14, 17235, 263, 1141, 6745, 720, 82, 287, 87, 263, 1141, 6745, 9230, 11139, 1042, 534, 649, 833, 1382, 1721, 632, 790, 1358, 2844, 287, 5408, 786, 975, 13166, 6086, 368, 16864, 10542, 1287, 2942, 637, 738, 10142, 2664, 14045, 7476, 2111, 1849, 368, 528, 1082, 16011, 80, 6541, 451, 14, 17235, 23398, 6745, 23097, 17414, 2467, 7906, 85, 15498, 11233, 16730, 1069, 4856, 786, 975, 287, 3964, 309, 3184, 757, 7262, 2579, 1667, 368, 7014, 1330, 377, 479, 734, 2729, 804, 3659, 450, 655, 9172, 10669, 797, 2515, 1270, 352, 2515, 2075, 1431, 1364, 368, 12168, 993, 7014, 1330, 415, 15727, 263, 1141, 6745, 2561, 3462, 3393, 1383, 5070, 368, 21327, 506, 15308, 14, 4980, 482, 370, 479, 1634, 798, 1667, 541, 121, 2776, 4524, 368, 14457, 3198, 337, 22263, 16024, 2872, 2371, 3319, 3539, 285, 309, 10590, 16657, 271, 15308, 21327, 506, 11581, 352, 1162, 418, 1166, 87, 733, 370, 1233, 1915, 490, 454, 2052, 343, 88, 21, 948, 287, 87, 1274, 10119, 21327, 506, 8542, 506, 3963, 3520, 442, 8055, 454, 3099, 1563, 14, 6597, 2632, 352, 2069, 1265, 482, 397, 4181, 8183, 14, 564, 3786, 2202, 1682, 846, 287, 87, 2804, 1592, 946, 768, 454, 1108, 906, 1086, 14, 500, 370, 436, 3174, 1248, 860, 368, 1892, 1608, 7871, 1448, 4086, 640, 5031, 5434, 11139, 1042, 1940, 1053, 409, 649, 370, 479, 2653, 1556, 7871, 1448, 1642, 10268, 368, 1219, 332, 655, 9172, 14, 17235, 36, 309, 2804, 19924, 2467, 4023, 655, 17221, 21146, 3786, 1833, 953, 450, 223, 315, 4373, 11139, 1042, 733, 897, 397, 2166, 1622, 2086, 1222, 1474, 352, 748, 1800, 16, 1544, 888, 1165, 3208, 271, 765, 450, 75, 5604, 69, 343, 835, 287, 3964, 309, 1005, 761, 1592, 993, 646, 377, 479, 370, 442, 1316, 1642, 6086, 1248, 2844, 1181, 734, 1838, 2742, 1042, 287, 3964, 309, 20801, 1084, 7020, 2380, 2050, 2589, 3361, 2561, 3462, 4480, 1854, 4736, 489, 738, 1108, 7559, 1326, 1817, 1199, 490, 448, 442, 692, 2111, 1944, 572, 1902, 804, 1935, 448, 1737, 352, 2742, 1042, 1231, 1119, 2086, 953, 16, 287, 3964, 309, 263, 1141, 6745, 5803, 3403, 11139, 1042, 16402, 856, 1491, 8542, 483, 448, 4049, 9992, 2088, 3224, 482, 932, 415, 1672, 263, 1141, 6745, 9327, 3746, 287, 87, 19290, 2872, 2371, 11139, 1042, 529, 445, 589, 1559, 1738, 692, 738, 2906, 1358, 1037, 448, 1672, 287, 3964, 309, 9327, 3746, 11139, 1042, 790, 2136, 2942, 955, 500, 1671, 1640, 1319, 567, 521, 2136, 15566, 359, 945, 4224, 572, 1525, 1639, 1383, 5070, 16024, 287, 3964, 309, 3074, 10360, 978, 998, 2532, 5604, 69, 343, 835, 11139, 1042, 342, 646, 3477, 846, 368, 2202, 1682, 2409, 790, 14, 377, 479, 2139, 4083, 5111, 572, 1639, 442, 18790, 1362, 287, 3964, 309, 16, 3277, 1821, 489, 2454, 86, 997, 2388, 38, 14109, 1158, 91, 815, 63, 1021, 2739, 1105, 14, 458, 3208, 748, 397, 2315, 14, 17235, 23398, 6745, 1162, 67, 20489, 3837, 685, 20, 1833, 953, 1181, 450, 1783, 2533, 9570, 370, 879, 797, 436, 955, 1639, 833, 1448, 411, 3752, 2448, 15701, 274, 4743, 340, 69, 20838, 15423, 11139, 1042, 14, 3557, 342, 1248, 2116, 993, 646, 368, 7871, 1448, 649, 442, 2259, 1268, 665, 738, 4479, 12898, 14, 458, 500, 3088, 16024, 287, 87, 263, 1141, 6745, 16, 80, 2160, 17235, 23398, 6745, 16205, 20640, 7876, 11139, 1042, 1219, 506, 85, 3198, 261, 78, 2095, 352, 521, 436, 368, 2717, 2084, 2005, 9782, 1424, 766, 1397, 2429, 287, 11083, 1141, 6745, 9230, 10808, 16864, 370, 479, 377, 3802, 489, 2042, 1239, 368, 12505, 17136, 87, 7788, 14, 521, 1833, 953, 1181, 450, 1783, 2533, 5031, 5434, 2380, 2050, 920, 1682, 287, 3964, 309, 4588, 436, 897, 640, 454, 903, 2225, 3837, 685, 1286, 1634, 1071, 1523, 821, 17235, 23398, 6745, 1834, 4509, 81, 5321, 1166, 8678, 950, 426, 640, 14, 703, 6537, 4980, 482, 448, 1187, 798, 397, 814, 635, 509, 3139, 1434, 14, 287, 3964, 309, 2804, 19, 920, 1634, 1434, 411, 2003, 7776, 287, 87, 263, 1141, 6745, 13099, 940, 368, 21327, 506, 11581, 448, 1713, 4889, 748, 1037, 879, 797, 28, 1682, 6848, 411, 2003, 7776, 1872, 2344, 352, 13088, 654, 637, 1834, 71, 6537, 83, 75, 352, 10955, 4524, 3139, 448, 442, 2480, 8389, 2259, 4658, 797, 695, 1230, 766, 3365, 1198, 24933, 795, 546, 2248, 1168, 17259, 4642, 22079, 3655, 16024, 18790, 1362, 271, 68, 287, 87, 2602, 26, 1459, 3963, 14808, 6848, 287, 3964, 309, 11139 ]
[ 1, 15808, 71, 268, 1363, 309, 287, 87, 15688, 2075, 1397, 2429, 8721, 3139, 368, 3729, 16864, 10542, 1079, 1257, 342, 3657, 1400, 16, 1754, 263, 1141, 6745, 11139, 1042, 409, 3856, 1257, 1259, 3809, 489, 1233, 1915, 1140, 4214, 1005, 368, 821, 9422, 14, 287, 3964, 309, 1444, 70, 1814, 285, 8920, 654, 998, 2561, 3462, 950, 426, 640, 33, 20838, 15423, 1334, 5739, 2448, 15701, 11318, 2009, 21327, 506, 15308, 691, 768, 703, 4233, 766, 3911, 10202, 14, 1069, 4856, 786, 975, 287, 3964, 309, 17235, 23398, 6745, 5431, 12303, 8476, 7723, 16864, 11581, 649, 1305, 798, 1370, 6857, 490, 733, 370, 479, 1250, 3268, 442, 16, 2380, 2050, 1682, 411, 2003, 7776, 2978, 445, 571, 635, 2742, 1042, 33, 1592, 370, 479, 1502, 442, 635, 377, 33, 14, 1833, 953, 3786, 287, 87, 20935, 263, 1141, 6745, 3168, 2284, 1854, 1833, 837, 1388, 748, 14, 884, 377, 3806, 342, 529, 445, 879, 1847, 564, 370, 442, 521, 3639, 2712, 368, 660, 1069, 490, 17235, 23398, 6745, 1930, 654, 483, 74, 85, 795, 22612, 1588, 11139, 1042, 5055, 5067, 3963, 271, 2718, 490, 442, 8650, 1308, 5734, 10695, 2464, 8731, 2179, 1525, 7466, 7765, 14, 1833, 953, 740, 5031, 5434, 14808, 285, 8920, 654, 998, 287, 3964, 309, 11139, 1042, 529, 445, 1977, 1287, 757, 489, 10955, 4524, 3139, 9692, 16782, 454, 1563, 368, 1834, 71, 6537, 83, 75, 17235, 23398, 6745, 6727, 567, 3087, 6753, 8721, 5400, 660, 734, 458, 370, 479, 1479, 1376, 2742, 1042, 33, 5761, 821, 922, 589, 571, 860, 33, 1477, 2464, 409, 766, 551, 454, 2757, 589, 571, 635, 33, 18831, 620, 445, 370, 720, 5389, 757, 33, 14, 8616, 3963, 1250, 3268, 1556, 12789, 87, 681, 23962, 7028, 9489, 479, 5943, 11139, 1042, 2317, 4231, 436, 733, 897, 3182, 1834, 71, 6537, 83, 75, 352, 611, 5891, 287, 3964, 309, 287, 3964, 309, 2602, 11139, 1042, 786, 4897, 551, 782, 377, 897, 370, 479, 3633, 1833, 3409, 1362, 1860, 1364, 368, 6918, 856, 1491, 90, 3171, 14, 681, 3964, 309, 88, 5124, 18790, 1362, 4086, 1869, 1371, 814, 1198, 5031, 5434, 740, 1783, 2533, 1592, 946, 768, 7788, 5771, 500, 377, 3134, 409, 905, 448, 377, 2405, 6954, 6768, 5647, 352, 10708, 2374, 681, 563, 415, 1239, 1387, 2589, 3361, 2561, 3462, 950, 426, 640, 14, 388, 3035, 5731, 23818, 1305, 798, 1233, 1387, 14, 7976, 2480, 352, 7976, 1694, 368, 803, 733, 454, 18655, 9135, 448, 1737, 607, 397, 3671, 16024, 1459, 3963, 3692, 287, 3964, 309, 1833, 953, 450, 223, 315, 4373, 21327, 506, 11581, 1269, 377, 691, 768, 16402, 856, 1491, 8542, 483, 448, 3011, 3756, 821, 665, 1613, 490, 16, 3786, 1459, 3963, 2448, 15701, 1196, 866, 1483, 837, 5782, 1005, 1287, 757, 14, 884, 7229, 3437, 967, 68, 566, 377, 479, 837, 1383, 615, 458, 1201, 14, 10170, 1447, 978, 442, 1005, 342, 814, 837, 1388, 761, 16024, 1482, 21146, 450, 5031, 5434, 287, 11083, 1141, 6745, 3004, 9781, 1057, 1483, 837, 615, 458, 649, 6725, 572, 4144, 804, 1935, 489, 4078, 644, 377, 479, 1915, 2388, 442, 16, 2202, 1682, 1181, 761, 740, 5031, 5434, 18353, 4848, 377, 2136, 1525, 454, 9062, 266, 1013, 340, 670, 3847, 7972, 9062, 572, 1639, 14, 17235, 23398, 6745, 1162, 2411, 22889, 7909, 309, 4915, 9302, 1821, 511, 11139, 1042, 1834, 506, 1834, 15583, 833, 370, 2743, 2569, 3545, 263, 6260, 4512, 11082, 7234, 16, 287, 3964, 309, 1748, 1004, 67, 8298, 4844, 3220, 2742, 1042, 458, 448, 11726, 358, 330, 656, 620, 922, 1100, 572, 2454, 9238, 569, 986, 1081, 6956, 13277, 17243, 3786, 1459, 3963, 450, 223, 315, 4373, 274, 6072, 3786, 21146, 287, 87, 263, 1141, 6745, 11139, 1042, 409, 1634, 821, 922, 582, 768, 454, 397, 1379, 14, 3084, 1987, 23630, 5067, 571, 6255, 620, 3831, 3671, 695, 370, 479, 4628, 1902, 16, 303, 554, 8387, 287, 3964, 309, 11139, 1042, 529, 445, 589, 1559, 1738, 692, 738, 2906, 1358, 1037, 448, 287, 3964, 309, 10152, 287, 3964, 309, 5721, 11139, 1042, 1219, 506, 85, 3198, 261, 78, 2095, 352, 521, 436, 368, 2717, 2084, 2005, 9782, 1424, 766, 1397, 2429, 3738, 2066, 86, 21327, 506, 11581, 352, 1162, 418, 1166, 87, 733, 370, 1233, 1915, 490, 454, 2052, 14, 17235, 23398, 6745, 20649, 20649, 16484, 261, 20489, 1672, 9489, 9327, 3746, 11139, 1042, 454, 1370, 6857, 490, 14, 620, 445, 589, 3085, 1326, 768, 2111, 1849, 1397, 2429, 352, 1110, 946, 368, 1298, 436, 342, 1722, 1185, 2067, 1403, 2533, 5031, 5434, 4462, 1376, 797, 1110, 946, 632, 1403, 14, 287, 3964, 309, 1672, 1345, 1798, 81, 1814, 411, 2003, 7776, 287, 3964, 309, 11139, 1042, 409, 733, 370, 479, 3290, 2205, 768, 9705, 955, 500, 377, 1703, 1302, 2139, 454, 1095, 1582, 940, 846, 17235, 23398, 6745, 4637, 2185, 1094, 519, 309, 23262, 10959, 3559, 11139, 1042, 529, 445, 1977, 1287, 757, 489, 10955, 4524, 3139, 9692, 16782, 454, 1563, 368, 1834, 71, 6537, 83, 75, 14, 2380, 2050, 1482, 1833, 953, 5031, 5434, 820, 7367, 21327, 506, 15308, 448, 2826, 4238, 1319, 567, 415, 5377, 368, 803, 17235, 23398, 6745, 1347, 4729, 623, 11139, 1042, 2042, 2116, 368, 4459, 16402, 19649, 81, 442, 5285, 5824, 1541, 965, 2409, 14, 3786, 287, 87, 263, 1141, 6745, 450, 340, 69, 846, 2202, 1682, 11139, 1042, 436, 445, 582, 4836, 9001, 2524, 4628, 3098, 7889, 1441, 342, 635, 16, 4086, 1869, 640, 5031, 5434, 16864, 4736, 489, 1447, 3593, 511, 57, 352, 864, 4220, 2136, 14, 287, 87, 2602, 26, 3786, 6848, 1100, 4189, 8317, 489, 1434, 1858, 1057, 1524, 14, 7229, 3437, 967, 68, 566, 448, 978, 442, 1755, 1800, 16, 1544, 1211, 3593, 14, 2569, 1721, 748, 873, 16, 1544, 1211, 3593, 1037, 509, 14, 620, 442, 7229, 3437, 967, 68, 566, 1599, 665, 812, 11029, 6733, 6869, 2143, 6848, 287, 87, 1592, 377, 479, 3422, 532, 993, 940, 1316, 1642, 1479, 1376, 734, 2742, 1042, 14, 3786, 287, 3964, 309, 632, 1412, 920, 1682, 2161, 6848, 740, 5031, 5434, 3356, 370, 397, 2013, 1507, 740, 1391, 1871, 377, 2373, 12037, 934, 2742, 1042, 4186, 1833, 953, 11139, 1042, 370, 397, 7776, 1199, 29, 409, 1400, 3674 ]
[ 1, 3727, 2213, 12623, 1244, 657, 8312, 2822, 2630, 15, 279, 659, 24655, 11717, 940, 24655, 69, 645, 14, 1199, 1091, 14, 2941, 5800, 14, 8579, 5392, 849, 1049, 482, 660, 3582, 1259, 4201, 454, 4275, 1244, 5392, 14, 5392, 1244, 16, 3342, 649, 637, 2213, 12623, 1244, 490, 657, 8312, 2822, 442, 940, 2822, 14, 352, 377, 940, 2822, 16, 6701, 2213, 888, 12623, 1244, 657, 8312, 2822, 2086, 15, 86, 636, 15, 9277, 389, 1831, 1831, 2019, 1944, 14, 2019, 1376, 454, 1857, 975, 20976, 2235, 14, 1857, 9720, 4383, 24655, 69, 645, 24655, 24727, 6196, 6196, 1200, 5316, 454, 9175, 529, 445, 2019, 3319, 1244, 5392, 14, 905, 932, 24655, 9227, 24655, 3723, 733, 24655, 85, 3035, 454, 397, 9720, 4383, 849, 1507, 454, 9720, 4383, 14, 24655, 11605, 2918, 24655, 85, 645, 24655, 6413, 4774, 7718, 3462, 450, 24655, 9227, 24655, 3723, 24655, 88, 604, 24655, 82, 9435, 24655, 12165, 24655, 268, 1396, 3872, 24655, 88, 604, 1412, 24655, 378, 506, 3462, 1689, 14, 529, 445, 500, 24655, 279, 1109, 24655, 6466, 658, 24655, 1970, 478, 1838, 24655, 2049, 1917, 1183, 368, 803, 733, 24655, 7960, 24655, 21599, 1183, 5354, 924, 99, 24655, 8282, 1857, 9720, 4383, 24655, 14334, 24655, 1970, 780, 14, 1541, 905, 24655, 24727, 24655, 86, 7456, 24655, 86, 7456, 24655, 86, 295, 24655, 68, 604, 24655, 24293, 24655, 5190, 1039, 24655, 86, 7456, 24655, 86, 295, 24655, 68, 604, 24655, 70, 866, 14, 1244, 1244, 5392, 5392, 453, 353, 261, 5007, 14, 1119, 24655, 2049, 1917, 1183, 879, 2086, 15, 24122, 14, 905, 2086, 1400, 450, 1119, 1601, 24655, 7960, 24655, 4653, 16, 3220, 14016, 130, 110, 75, 860, 370, 646, 1244, 5392, 14, 2019, 359, 1048, 6791, 6791, 6290, 6290, 482, 24655, 17573, 33, 352, 846, 860, 646, 1479, 1376, 368, 8312, 1817, 442, 1601, 342, 377, 33, 482, 932, 589, 7021, 377, 14, 370, 1815, 342, 377, 370, 635, 14, 1119, 1005, 377, 720, 8729, 4436, 33, 5145, 2806, 1872, 927, 8078, 15, 2859, 897, 1584, 728, 342, 2806, 1872, 927, 15, 3464, 13657, 24655, 18221, 370, 1815, 728, 1872, 927, 15, 3464, 704, 16400, 24655, 18360, 370, 1815, 768, 790, 803, 370, 479, 4713, 4745, 14, 1424, 798, 2088, 8312, 646, 8312, 1817, 482, 2806, 1872, 927, 15, 3464, 704, 16400, 14, 1541, 905, 2806, 7108, 448, 3659, 923, 86, 1013, 5070, 368, 529, 445, 482, 24655, 6675, 5294, 1916, 24655, 86, 1895, 24655, 86, 580, 14, 6184, 24655, 281, 14549, 3679, 595, 24655, 22618, 8312, 3192, 14, 6184, 24655, 1679, 24655, 2444, 569, 14, 2725, 14, 8312, 2822, 2630, 24655, 279, 659, 14, 6184, 24655, 1679, 3679, 595, 24655, 78, 716, 352, 1383, 24655, 13212, 24655, 9227, 24655, 3723, 649, 24655, 69, 645, 24655, 6675, 1391, 2725, 4745, 1788, 17596, 1503, 14, 884, 905, 24655, 78, 496, 261, 24655, 1970, 597, 24655, 2049, 1552, 1482, 24655, 19345, 24655, 9400, 4181, 8183, 4298, 14, 4181, 8183, 3602, 14, 4181, 8183, 3602, 6612, 2663, 86, 6498, 12809, 2114, 1181, 797, 14, 370, 479, 571, 450, 2725, 1871, 2158, 3602, 482, 3378, 2725, 2805, 377, 7680, 860, 16, 4588, 4181, 8183, 4298, 14, 3602, 1134, 3602, 6612, 2663, 86, 922, 14, 790, 342, 521, 2052, 13948, 833, 14, 521, 8377, 2205, 1316, 790, 14, 521, 4900, 1574, 368, 724, 11301, 2052, 14, 521, 2052, 1747, 15798, 1302, 644, 14, 521, 1233, 1915, 14542, 8377, 14, 521, 5575, 5059, 387, 254, 80, 1302, 1227, 8635, 14, 521, 646, 3986, 9479, 14, 1181, 3986, 7449, 833, 1448, 6456, 24655, 2049, 7588, 24655, 88, 523, 10796, 571, 450, 1383, 5070, 803, 720, 3602, 2158, 14, 10678, 271, 14909, 482, 2805, 3602, 16, 950, 426, 640, 14, 1322, 1383, 445, 442, 1652, 3088, 14, 3750, 130, 110, 69, 454, 5058, 482, 6540, 2205, 4897, 2480, 620, 14, 4272, 482, 24655, 17589, 1921, 1267, 262, 878, 815, 69, 3295, 24655, 14827, 1210, 3443, 1198, 2480, 1755, 14, 2373, 24655, 24727, 24655, 279, 844, 14, 24655, 24727, 24655, 86, 7456, 24655, 15260, 3573, 1788, 24655, 18360, 24655, 69, 645, 24655, 20718, 24655, 74, 563, 24655, 84, 1744, 665, 24655, 8282, 1391, 2302, 16, 8954, 482, 932, 14, 656, 1383, 445, 442, 2589, 3503, 268, 14, 454, 276, 765, 14, 377, 2315, 8183, 10678, 24655, 13212, 24655, 78, 496, 261, 8377, 24655, 88, 1338, 14, 24655, 78, 496, 261, 24655, 6866, 833, 14, 2673, 2205, 14, 1747, 2205, 276, 16, 88, 7737, 73, 1356, 5776, 24655, 7960, 24655, 1970, 597, 15, 85, 523, 15, 15308, 15, 79, 451, 3011, 24655, 10, 77, 1214, 24655, 69, 1043, 16880, 9544, 11, 15, 658, 24655, 77, 667, 638, 1970, 478, 24655, 9449, 353, 261, 2088, 14, 24655, 14852, 645, 24655, 85, 566, 11457, 11, 823, 529, 445, 500, 798, 2088, 1319, 567, 940, 2388, 2822, 1239, 14, 4273, 1239, 454, 24655, 88, 353, 15, 86, 636, 15, 9277, 389, 638, 11429, 82, 24655, 9277, 389, 14, 24655, 88, 1405, 15, 279, 659, 11, 482, 521, 24655, 74, 1082, 13829, 3065, 454, 2927, 1563, 16, 12095, 660, 14, 2806, 7108, 3659, 28, 1060, 285, 312, 3322, 299, 8621, 2611, 11817, 14, 7294, 24252, 285, 312, 5016, 299, 1933, 2611, 11817, 1979, 12825, 3659, 24655, 80, 1751, 24655, 17478, 24655, 8852, 6170, 3139, 91, 14, 24655, 69, 645, 797, 24655, 1475, 1815, 14, 482, 24655, 6675, 325, 2262, 286, 2185, 14, 24655, 86, 11492, 24655, 279, 493, 24655, 2049, 330, 24655, 14334, 24655, 74, 956, 24655, 14548, 379, 24655, 268, 616, 482, 740, 24655, 22154, 2723, 24655, 85, 1214, 24655, 88, 866, 823, 1254, 649, 24655, 69, 645, 24655, 20718, 24655, 19345, 24655, 2444, 569, 24655, 11717, 14, 1838, 567, 24655, 9373, 24655, 78, 716, 529, 24655, 24293, 24655, 70, 1785, 24655, 2049, 4002, 24655, 68, 1093, 14, 24655, 6135, 24655, 73, 868, 1005, 4761, 24655, 86, 3625, 14, 724, 4622, 10153, 3495, 15, 45, 866, 15, 11818, 24655, 12338, 24655, 88, 2718, 1035, 24655, 23082, 24655, 131, 578, 24655, 82, 2995, 2302, 14, 1326, 1839, 24655, 5190, 274, 496, 261, 11596, 387, 236, 75, 24655, 69, 345, 24655, 441, 935, 24655, 13212, 3128, 1689, 333, 15, 18263, 15, 2444, 395, 397, 7898, 2224, 274, 909, 24655 ]
[ 1, 79, 560, 1189, 69, 7174, 685, 3917, 22970, 5819, 906, 3919, 445, 500, 370, 479, 1071, 461, 654, 23132, 4593, 6983, 1520, 1724, 16, 287, 765, 12642, 15638, 19274, 10824, 4116, 33, 3080, 1211, 2317, 2088, 3224, 342, 377, 1071, 6983, 2941, 900, 368, 461, 654, 23132, 363, 424, 685, 3409, 414, 271, 69, 274, 3417, 2620, 343, 616, 985, 75, 5782, 685, 276, 80, 6322, 1036, 566, 1618, 6402, 1754, 82, 5024, 450, 436, 4233, 397, 2145, 1095, 1314, 564, 814, 4213, 1383, 3192, 368, 534, 16, 4193, 5943, 1653, 75, 1672, 4575, 4046, 1477, 1964, 1675, 4781, 3085, 352, 1574, 14, 812, 16815, 483, 503, 1491, 7936, 14, 897, 534, 823, 860, 3694, 1933, 79, 2935, 16519, 2317, 1345, 786, 11205, 6496, 17740, 342, 397, 821, 2066, 2424, 5399, 2300, 3757, 702, 337, 23, 299, 82, 77, 4293, 370, 479, 2766, 640, 646, 2246, 3368, 33, 1391, 3538, 271, 4461, 1797, 81, 1618, 8014, 2925, 878, 24898, 1084, 6848, 3757, 702, 1510, 3893, 20817, 11504, 3037, 849, 14, 567, 903, 2225, 534, 448, 9114, 644, 489, 643, 606, 1834, 1797, 91, 298, 16, 4239, 411, 722, 14472, 11218, 1491, 427, 2003, 1312, 75, 3, 1592, 448, 1599, 1298, 436, 3, 461, 654, 23132, 10874, 1091, 287, 83, 2389, 309, 78, 7543, 4256, 12485, 263, 1141, 6745, 5250, 656, 1698, 10874, 14, 620, 445, 2605, 632, 1602, 352, 3813, 2085, 640, 16, 13248, 340, 3964, 73, 1035, 11218, 1491, 1477, 922, 649, 10874, 1091, 3317, 1883, 2592, 7873, 368, 2469, 803, 28, 611, 74, 10669, 506, 20005, 2334, 2620, 2429, 1618, 6402, 1754, 82, 695, 6496, 9069, 450, 75, 285, 566, 17096, 760, 1469, 24432, 607, 1035, 797, 2042, 1582, 728, 1403, 551, 681, 463, 3092, 67, 1857, 906, 6848, 15522, 265, 670, 285, 566, 6568, 377, 2424, 3540, 564, 1737, 397, 2190, 906, 454, 656, 1642, 2620, 368, 532, 2424, 3540, 290, 2262, 274, 79, 74, 86, 917, 69, 1978, 685, 4876, 14478, 3757, 702, 6848, 276, 2602, 4588, 724, 2776, 352, 702, 12250, 1286, 3011, 3756, 768, 1671, 6809, 4479, 490, 993, 646, 370, 479, 1482, 572, 397, 660, 1069, 2303, 18387, 482, 932, 33, 11873, 1182, 748, 1322, 1154, 702, 12250, 720, 3290, 1244, 33, 2532, 285, 566, 276, 1084, 3080, 888, 1121, 820, 2663, 28, 532, 397, 651, 1833, 2732, 1121, 1682, 2012, 2103, 1091, 1618, 85, 3295, 340, 17221, 20872, 6230, 15069, 847, 1952, 9218, 5202, 1479, 14, 461, 654, 23132, 377, 897, 3997, 1574, 1298, 436, 740, 1553, 1935, 1525, 1639, 903, 3729, 16, 2334, 2620, 2429, 368, 906, 1988, 1230, 3342, 570, 1141, 16012, 649, 448, 860, 8179, 1509, 660, 368, 795, 308, 87, 665, 1095, 1582, 509, 14, 352, 733, 6209, 7, 521, 635, 461, 654, 23132, 901, 442, 342, 1854, 1079, 2575, 1856, 262, 1589, 87, 1856, 4715, 685, 6848, 3757, 702, 1652, 1447, 1592, 1269, 377, 691, 768, 13126, 17318, 448, 2019, 1737, 16, 266, 597, 3468, 11150, 3964, 3356, 445, 3674, 1419, 768, 3352, 1675, 415, 290, 298, 11118, 377, 479, 3633, 1833, 1840, 2706, 490, 16, 3182, 3461, 1146, 83, 223, 6112, 3757, 702, 5250, 656, 724, 702, 12250, 2776, 607, 1091, 14, 620, 445, 582, 6315, 14, 812, 1206, 377, 833, 1655, 975, 490, 564, 10942, 1843, 409, 860, 3694, 946, 4624, 1944, 12892, 1988, 1230, 12765, 397, 3354, 4430, 4214, 1716, 1201, 3, 3270, 1706, 6566, 7962, 615, 2356, 1316, 4249, 3, 4967, 370, 589, 342, 1140, 4214, 1713, 1400, 377, 33, 3786, 6848, 2012, 358, 4509, 862, 11150, 3964, 3769, 1685, 2202, 1682, 3757, 702, 1146, 70, 4722, 1642, 3902, 342, 4181, 3624, 551, 5069, 1245, 4980, 482, 377, 1100, 798, 768, 941, 4087, 448, 607, 16687, 13705, 73, 3322, 15640, 12250, 2776, 1280, 757, 1510, 1424, 12333, 12333, 23367, 566, 14, 2009, 860, 1424, 660, 734, 649, 342, 1458, 2654, 761, 16, 2575, 1856, 4186, 16519, 271, 957, 4239, 11218, 1491, 16647, 9516, 17118, 5306, 3666, 352, 2707, 11307, 343, 769, 490, 5340, 4328, 748, 3757, 702, 1146, 70, 1376, 4193, 263, 604, 9218, 5202, 1479, 14, 3656, 6157, 448, 2625, 4133, 6983, 1095, 28, 532, 377, 979, 589, 3538, 5577, 2575, 1856, 276, 315, 1421, 70, 11218, 1491, 9340, 302, 1797, 9533, 271, 2546, 75, 427, 2003, 528, 12411, 2026, 1108, 724, 8298, 740, 6655, 28, 6207, 509, 450, 409, 1682, 3037, 2561, 3462, 388, 1329, 10694, 713, 1574, 3837, 6745, 768, 2235, 368, 3837, 6745, 370, 589, 342, 3887, 9292, 377, 16, 399, 468, 16030, 2012, 18082, 15522, 528, 22263, 10647, 681, 2431, 13642, 2915, 15000, 706, 8661, 2602, 3769, 1685, 5082, 1937, 582, 454, 10351, 2565, 4714, 4714, 3755, 1980, 6848, 285, 566, 1905, 2833, 946, 363, 424, 685, 3409, 414, 271, 4970, 293, 998, 263, 1469, 263, 616, 274, 1061, 8436, 274, 20975, 528, 3398, 22263, 352, 5173, 2915, 884, 3856, 1257, 720, 4436, 9984, 6848, 3757, 702, 2448, 11949, 2899, 2649, 482, 1269, 897, 1522, 724, 3700, 20919, 285, 3242, 766, 3051, 409, 2026, 951, 1448, 450, 529, 3, 4715, 15528, 271, 1061, 483, 2380, 2050, 1814, 2012, 21285, 977, 4480, 2067, 482, 397, 1671, 285, 6409, 2125, 1849, 4450, 734, 509, 14, 703, 4233, 377, 479, 1259, 3809, 489, 2174, 1706, 1201, 287, 309, 378, 2262, 74, 998, 73, 6212, 2899, 1039, 4418, 436, 454, 651, 409, 3, 15688, 2075, 888, 1248, 797, 3045, 2158, 3, 10440, 314, 2798, 448, 607, 3099, 1015, 1162, 67, 1834, 75, 4657, 414, 343, 418, 450, 75, 5604, 69, 343, 835, 6926, 3571, 998, 411, 24650, 68, 20377, 1259, 1983, 3755, 1634, 461, 654, 23132, 5293, 2230, 28, 7174, 285, 309, 4116, 33, 11318, 2009, 17235, 81, 637, 2381, 448, 691, 13273, 15456, 342, 436, 370, 5330, 1419, 490, 1672, 1814, 2012, 2561, 3462, 18742, 271, 13283, 274, 4012, 4700, 85, 1477, 445, 2565, 1358, 14151, 931, 2749, 352, 582, 489, 1298, 436, 28, 643, 606, 6430, 461, 298, 342, 635, 33, 946, 479, 5943, 1189, 566, 12037, 620, 2899, 2649, 482, 342, 2362, 1613, 461, 654, 23132, 1100, 2460, 1261, 704, 1057, 490, 1854, 4736, 489, 11757, 1129, 15681, 18022, 16, 415, 3452, 2429, 1988, 1035, 20896, 3217, 2389, 309, 6230, 286, 79 ]
[ 1, 3798, 1821, 271, 80, 9218, 657, 724, 2464, 897, 1919, 14, 7164, 4055, 640, 14, 276, 16, 88, 16, 411, 85, 4116, 3514, 75, 592, 79, 1230, 760, 15702, 3837, 3862, 582, 28, 2073, 5577, 2532, 342, 2445, 3539, 368, 1420, 1361, 441, 1145, 654, 87, 17284, 1446, 1141, 3571, 5732, 80, 13078, 941, 411, 85, 9175, 4186, 271, 80, 5250, 397, 1095, 1314, 14, 3170, 821, 922, 370, 1721, 2302, 1324, 236, 6907, 6499, 578, 1618, 19289, 2532, 285, 566, 4588, 436, 454, 10351, 2565, 377, 691, 782, 342, 1671, 4524, 1817, 635, 266, 597, 274, 1051, 4186, 358, 1685, 340, 69, 4293, 649, 979, 589, 11897, 1866, 2868, 3839, 368, 803, 2999, 2770, 287, 5408, 2999, 651, 4116, 33, 11318, 2009, 17235, 81, 637, 2381, 448, 691, 13273, 15456, 342, 436, 370, 5330, 1419, 490, 287, 3964, 309, 13250, 1146, 2678, 68, 309, 5189, 91, 75, 1559, 1357, 28, 5442, 837, 1773, 368, 1534, 1460, 4046, 3112, 3757, 702, 1376, 263, 2675, 9516, 2362, 1801, 21469, 1797, 6305, 766, 607, 2925, 2334, 4144, 1503, 352, 442, 4628, 1902, 16, 946, 479, 5943, 3009, 5537, 620, 1005, 761, 2103, 1091, 4602, 3917, 11218, 1491, 16647, 4116, 33, 23367, 566, 14, 436, 720, 5374, 3134, 14, 450, 2744, 276, 2744, 482, 479, 2942, 1783, 3856, 14703, 720, 4479, 16, 12642, 19274, 10824, 1944, 12892, 6019, 368, 2994, 1774, 1755, 782, 448, 14540, 12345, 768, 532, 352, 21327, 483, 3437, 308, 566, 448, 377, 615, 1801, 821, 922, 3, 1110, 946, 479, 5943, 1988, 1230, 2380, 2050, 1682, 4239, 528, 298, 8683, 454, 10351, 1602, 489, 521, 8246, 1563, 1287, 393, 8174, 17284, 4461, 8791, 223, 3964, 9797, 1084, 5250, 656, 1698, 10874, 14, 620, 445, 2605, 632, 1602, 352, 3813, 2085, 640, 16, 1814, 411, 2003, 7776, 740, 1783, 2533, 6848, 2575, 1856, 290, 2262, 4715, 685, 3838, 266, 12951, 1592, 1269, 589, 450, 2174, 1706, 607, 1382, 2653, 370, 727, 442, 975, 2928, 80, 509, 377, 16, 6848, 2012, 2448, 68, 2602, 448, 2381, 377, 1801, 3, 1166, 10611, 73, 3834, 3997, 620, 445, 1308, 397, 8917, 2915, 6848, 285, 566, 985, 75, 978, 414, 10950, 4715, 685, 12037, 1838, 920, 1814, 2103, 1091, 4602, 3917, 448, 2381, 377, 1801, 3, 5371, 1834, 2431, 13744, 1424, 798, 13273, 15456, 14, 620, 922, 2625, 4133, 16, 1100, 1050, 287, 5408, 2158, 1230, 427, 2003, 1166, 2355, 566, 352, 427, 2003, 10073, 551, 2071, 2435, 2302, 1314, 86, 69, 1141, 6745, 4644, 4379, 5537, 3099, 1671, 1618, 6402, 1754, 82, 847, 1372, 2634, 8825, 271, 10298, 75, 21936, 24881, 1792, 3356, 445, 3674, 1419, 768, 3352, 1675, 415, 290, 298, 11118, 377, 479, 3633, 1833, 1840, 2706, 490, 16, 1787, 2448, 9826, 12048, 24881, 1792, 5189, 91, 75, 1268, 1637, 489, 1534, 1460, 1955, 1773, 564, 19194, 11904, 1165, 6581, 14808, 2575, 702, 2575, 1856, 285, 1491, 81, 20, 4116, 33, 5400, 660, 734, 534, 615, 442, 489, 1403, 33, 461, 654, 23132, 1424, 1522, 2994, 1919, 1308, 3573, 2235, 8069, 3034, 411, 85, 13251, 1652, 5727, 979, 1287, 442, 724, 3139, 370, 12486, 1605, 649, 2183, 2399, 1834, 2431, 13744, 589, 1955, 3112, 16, 411, 24650, 80, 454, 6103, 1997, 2602, 68, 263, 1141, 6745, 681, 1083, 572, 28, 9397, 795, 483, 10669, 87, 8968, 9263, 5023, 1108, 5575, 6584, 7930, 4827, 3, 21285, 977, 15522, 11218, 1491, 16647, 528, 10653, 1978, 620, 922, 2605, 5272, 482, 932, 656, 620, 922, 766, 4593, 1071, 28, 932, 823, 564, 972, 607, 1071, 411, 24650, 68, 2561, 1259, 1988, 1230, 2139, 761, 287, 1491, 2575, 1856, 3356, 445, 3674, 1419, 768, 290, 298, 76, 2395, 8270, 1755, 482, 442, 6242, 665, 21977, 12551, 5860, 16, 946, 1140, 69, 12472, 15798, 3551, 685, 10360, 20926, 1916, 454, 821, 8417, 2664, 1755, 782, 4980, 482, 766, 2605, 632, 2416, 532, 33, 12000, 2343, 1084, 266, 3723, 11112, 24881, 1792, 651, 6196, 2770, 873, 2910, 511, 3184, 1613, 1015, 14, 409, 2660, 640, 564, 733, 1553, 450, 461, 654, 23132, 352, 521, 436, 728, 16, 2575, 1856, 1510, 3893, 1477, 445, 2808, 2085, 640, 352, 3615, 2663, 582, 28, 923, 713, 370, 397, 1194, 879, 837, 1388, 979, 582, 16, 6848, 1682, 1376, 1447, 1391, 4186, 450, 506, 276, 315, 5553, 860, 529, 445, 377, 1345, 934, 3856, 3544, 3, 1021, 566, 91, 1491, 377, 833, 3170, 1721, 1201, 9515, 2448, 11949, 340, 17221, 4588, 1540, 820, 632, 888, 920, 368, 1774, 342, 1847, 1559, 1738, 761, 592, 9069, 917, 69, 1978, 685, 3786, 3757, 702, 1510, 3893, 388, 4066, 2770, 3301, 2196, 1431, 1086, 10260, 14, 27, 7, 3786, 3757, 702, 1376, 4189, 5371, 8829, 75, 3837, 3862, 1424, 798, 461, 654, 23132, 352, 620, 922, 1148, 953, 1053, 397, 6529, 2075, 920, 1814, 18082, 1856, 4715, 685, 9295, 11504, 3037, 849, 14, 1671, 1938, 934, 3132, 3113, 377, 2227, 3037, 2405, 442, 397, 1153, 490, 1269, 1119, 564, 450, 888, 1248, 3045, 2158, 615, 16, 592, 86, 24881, 1792, 2448, 11949, 6848, 4293, 370, 833, 1695, 397, 1105, 1397, 377, 33, 461, 654, 23132, 3788, 482, 570, 2431, 13744, 3447, 13870, 3447, 920, 13248, 11218, 9732, 5445, 1168, 271, 13283, 1308, 5377, 11218, 1491, 14808, 411, 2003, 7776, 867, 81, 2602, 1592, 691, 814, 635, 370, 479, 1512, 940, 1015, 656, 415, 724, 3139, 370, 12486, 442, 978, 3652, 14, 905, 932, 409, 1269, 582, 489, 461, 654, 23132, 1892, 1608, 28, 285, 309, 285, 86, 21264, 643, 7236, 91, 1491, 2107, 2235, 352, 4249, 4133, 1015, 2614, 8227, 3098, 4526, 6848, 6518, 2793, 82, 1792, 1376, 4189, 411, 24650, 68, 86, 23, 3356, 445, 3674, 1419, 768, 9932, 1446, 5899, 377, 479, 1424, 798, 1522, 436, 1053, 397, 1613, 3757, 702, 1905, 2804, 1376, 4189, 15522, 1477, 649, 3539, 18663, 2589, 287, 1797, 566, 454, 1563, 2589, 3461, 290, 2262, 271, 74, 69, 1672, 1345, 13248, 5377, 11218, 1491, 681, 463, 3092, 67, 14359, 2515, 564, 571, 635, 33, 2615, 4233, 766, 3788, 3645, 3563, 24881, 1792, 15624, 1141, 5897, 9230, 5223, 23803, 5819, 482, 458, 500, 8531, 2579, 14, 528, 298, 8683, 2660, 640, 377, 4662, 1424, 1254, 1682, 4239, 1682, 6848, 1814, 2012 ]
[ 1, 21120, 8723, 835, 20864, 441, 9172, 9638, 3047, 441, 343, 3796, 79, 4759, 1477, 445, 649, 448, 1773, 3177, 1108, 786, 1509, 1540, 14, 503, 20434, 760, 3834, 1834, 418, 352, 3837, 1797, 681, 3092, 654, 87, 16, 1695, 4775, 6927, 454, 10142, 9674, 2091, 1642, 271, 13283, 624, 588, 1705, 368, 724, 702, 12250, 766, 1287, 757, 5270, 640, 358, 75, 1792, 6848, 2389, 309, 6230, 24881, 1792, 8494, 528, 523, 2915, 352, 582, 28, 5761, 2135, 33, 14808, 3757, 702, 1652, 1317, 299, 82, 77, 11504, 3037, 14, 397, 3378, 377, 2136, 4075, 1713, 482, 681, 463, 3092, 67, 342, 814, 534, 833, 1071, 4593, 15522, 2012, 13248, 276, 78, 86, 77, 271, 13283, 1308, 5377, 11218, 1491, 3356, 445, 3674, 1419, 768, 9932, 1446, 5899, 377, 479, 1424, 798, 1522, 436, 1053, 397, 1613, 917, 1904, 418, 18404, 2901, 528, 298, 8683, 454, 10351, 1602, 489, 521, 8246, 1563, 1287, 393, 8174, 4657, 1618, 298, 21305, 287, 309, 1035, 271, 80, 528, 298, 8683, 454, 10351, 1602, 489, 521, 8246, 1563, 1287, 393, 8174, 3786, 358, 2548, 815, 1477, 445, 2565, 1358, 14151, 931, 2749, 352, 582, 489, 1298, 436, 28, 643, 606, 6430, 461, 298, 342, 635, 33, 6848, 1376, 4189, 9327, 3746, 940, 1230, 2334, 2620, 2429, 3009, 5537, 620, 4116, 33, 11318, 2009, 17235, 81, 637, 2381, 448, 691, 13273, 15456, 342, 436, 370, 5330, 1419, 490, 290, 2262, 4193, 262, 80, 21, 83, 3184, 1613, 1015, 14, 409, 2660, 640, 564, 733, 1553, 450, 461, 654, 23132, 352, 521, 436, 728, 16, 411, 2003, 7776, 454, 1667, 620, 342, 635, 1814, 2012, 1787, 4647, 15640, 12250, 2776, 2086, 1387, 4828, 3438, 1694, 15861, 1308, 1154, 702, 12250, 3786, 6848, 1814, 266, 1013, 20377, 564, 450, 415, 660, 1371, 1015, 368, 1162, 9172, 91, 1491, 1036, 738, 509, 16, 340, 8715, 340, 17221, 15522, 223, 2682, 835, 1814, 274, 1051, 15522, 760, 2548, 4716, 2548, 87, 10647, 6501, 10647, 795, 1491, 11409, 358, 4140, 3991, 1980, 4715, 15528, 1821, 287, 765, 17740, 1866, 3395, 5803, 4760, 14, 884, 620, 922, 342, 397, 1349, 2066, 1182, 564, 2013, 1100, 3786, 6848, 3757, 702, 13251, 6923, 13248, 5377, 6848, 276, 261, 879, 2424, 1705, 3, 681, 10254, 3449, 448, 2605, 1522, 1134, 1108, 2636, 564, 615, 1037, 1391, 570, 1141, 16012, 3757, 702, 1376, 263, 2675, 11504, 3037, 14, 1391, 955, 1525, 2397, 1834, 4716, 483, 3856, 1257, 775, 3380, 1091, 16519, 3679, 299, 89, 2431, 685, 4622, 702, 10153, 299, 82, 77, 528, 10653, 1978, 1978, 2340, 14887, 8768, 1829, 955, 1639, 906, 1988, 1035, 377, 442, 1722, 640, 285, 18, 261, 3596, 2389, 309, 3917, 4480, 5769, 615, 4680, 409, 3211, 706, 897, 377, 9439, 397, 9593, 489, 4078, 644, 1563, 368, 681, 2431, 13642, 16, 411, 24650, 80, 262, 25, 6848, 2103, 1091, 20801, 7867, 3342, 1280, 1037, 409, 448, 1866, 3395, 1675, 2111, 564, 3712, 5766, 17136, 87, 624, 645, 564, 1326, 2090, 3682, 6581, 6848, 1483, 2005, 271, 13283, 643, 333, 3037, 368, 8690, 1094, 76, 3171, 2182, 3848, 1268, 16, 2334, 2620, 2429, 1618, 69, 847, 1372, 4644, 302, 4193, 5943, 4681, 73, 3487, 3356, 445, 3674, 1419, 768, 1254, 509, 448, 978, 3652, 458, 454, 656, 703, 4233, 377, 564, 1233, 16, 4186, 6848, 358, 2877, 88, 315, 1477, 649, 1424, 3310, 352, 1424, 3966, 3310, 16, 1306, 1735, 20896, 85, 965, 2561, 3462, 22775, 16015, 6297, 15797, 21304, 15329, 820, 342, 290, 654, 23132, 656, 529, 1755, 2807, 920, 1682, 6848, 10142, 9674, 2091, 1642, 4480, 370, 2649, 993, 646, 1847, 3568, 28, 370, 1194, 635, 932, 33, 1592, 900, 1584, 368, 1501, 409, 1280, 490, 2182, 2430, 16, 6848, 2012, 1905, 2833, 11150, 3964, 2999, 2770, 287, 5408, 276, 80, 9218, 5202, 1479, 14, 461, 654, 23132, 370, 7834, 3802, 564, 640, 3509, 5931, 16, 274, 3417, 3596, 6322, 1036, 566, 1618, 69, 847, 1372, 388, 1329, 10694, 713, 1574, 3837, 6745, 768, 2235, 368, 3837, 6745, 370, 589, 342, 3887, 9292, 377, 16, 2334, 2620, 2429, 18608, 3917, 1618, 6402, 1754, 82, 17284, 1446, 1141, 299, 11612, 654, 1797, 271, 22970, 5819, 906, 3919, 445, 500, 370, 479, 1071, 461, 654, 23132, 4593, 6983, 1520, 1724, 16, 285, 3074, 340, 17221, 21146, 5550, 358, 6595, 20864, 2676, 6077, 14011, 4321, 1148, 953, 821, 922, 482, 397, 2636, 3856, 727, 2575, 1856, 223, 6112, 290, 68, 7168, 8690, 1094, 1312, 75, 2328, 2649, 582, 28, 1592, 370, 479, 10283, 975, 509, 368, 2593, 1312, 3171, 920, 13248, 5377, 11218, 1491, 6848, 3399, 941, 2575, 1856, 358, 2395, 4715, 685, 271, 998, 20377, 370, 442, 521, 635, 620, 445, 979, 1037, 656, 620, 445, 720, 2405, 340, 8715, 11218, 1491, 1748, 1140, 414, 340, 17221, 2343, 9374, 4885, 87, 24881, 16730, 427, 2003, 10073, 640, 19018, 1108, 724, 8298, 665, 6655, 28, 615, 1613, 490, 620, 1005, 720, 7086, 415, 6927, 454, 276, 78, 86, 77, 271, 13283, 23580, 1904, 1168, 489, 397, 724, 4524, 1817, 704, 458, 1370, 6160, 342, 1057, 657, 760, 1547, 685, 448, 1069, 4856, 450, 1514, 1611, 21327, 483, 16, 6848, 4186, 20762, 87, 985, 75, 978, 414, 411, 2602, 6848, 6575, 1306, 1268, 2071, 702, 12250, 2776, 352, 611, 1162, 7236, 489, 3639, 2532, 342, 1871, 342, 1883, 1735, 761, 20896, 70, 862, 87, 1695, 3590, 1248, 427, 2003, 1781, 804, 342, 2593, 9534, 4611, 3399, 448, 1268, 1637, 489, 1312, 1819, 566, 352, 649, 582, 768, 1955, 2107, 757, 342, 1689, 894, 87, 16880, 20025, 1649, 271, 13283, 24881, 1792, 1618, 8678, 1618, 8678, 1618, 3074, 23580, 1904, 1168, 489, 397, 724, 4524, 1817, 704, 458, 1370, 6160, 342, 1057, 657, 760, 1547, 685, 448, 1069, 4856, 450, 1514, 1611, 21327, 483, 16, 920, 1814, 1556, 12789, 87, 3167, 3342, 3639, 4266, 303, 306, 665, 4186, 681, 2431, 13642, 846, 6848, 1448, 1447, 15616, 6848, 4186, 20762, 87, 15522, 458, 1182, 3, 1977, 1287, 757, 3, 681, 2431, 13642, 2986, 3632, 1211, 1233, 263, 1141, 6745, 15522, 274, 6072, 268, 1061, 566, 2602, 3342, 814, 635, 448, 2118, 572, 489, 2990, 2235, 368, 461, 2045, 15456, 14, 620, 377, 1645, 16, 6848, 6849, 1267 ]
[ 1, 22494, 1814, 1522, 3104, 3167, 1477, 1964, 1675, 4781, 3085, 352, 1574, 14, 812, 16815, 483, 503, 1491, 7936, 14, 897, 534, 823, 860, 3694, 285, 4080, 1814, 2012, 6019, 368, 2994, 1774, 1988, 1230, 448, 2706, 720, 879, 797, 2461, 1550, 16, 2575, 2616, 623, 263, 19, 276, 298, 2045, 5705, 15522, 302, 5705, 528, 3398, 3398, 22263, 461, 654, 23132, 570, 1141, 16012, 352, 570, 2431, 13744, 727, 1091, 2915, 6848, 2532, 285, 566, 16052, 760, 2548, 4716, 2548, 87, 10647, 6501, 10647, 795, 1491, 11409, 358, 4140, 3991, 1980, 846, 6848, 10142, 9674, 2091, 1642, 276, 261, 4186, 6848, 293, 998, 276, 315, 701, 765, 740, 461, 654, 23132, 704, 12552, 1320, 262, 1589, 87, 303, 483, 20025, 592, 1146, 70, 1219, 606, 5649, 1916, 1774, 2303, 2464, 1182, 7889, 2362, 5056, 3289, 1562, 368, 436, 2625, 757, 2085, 4147, 6563, 619, 590, 11218, 1491, 263, 2675, 15522, 262, 12485, 3468, 16519, 528, 22263, 489, 397, 8917, 2915, 28, 2073, 3756, 448, 4233, 640, 897, 377, 2303, 3, 20896, 3217, 298, 8504, 21264, 8775, 8775, 570, 1141, 16012, 352, 570, 2431, 13744, 733, 691, 527, 4025, 13401, 905, 1737, 1955, 3112, 16, 276, 862, 1141, 2089, 17284, 1446, 1141, 2575, 1856, 1563, 2925, 10360, 4293, 649, 370, 479, 564, 461, 654, 23132, 1148, 953, 14887, 1387, 2409, 266, 2092, 1843, 2050, 532, 3870, 2605, 1037, 1754, 82, 2448, 3327, 67, 1618, 6402, 1592, 879, 833, 11035, 82, 15975, 9889, 490, 665, 1391, 461, 654, 23132, 3, 6848, 16109, 1856, 21451, 3786, 6848, 1814, 775, 240, 79, 3184, 6009, 582, 1181, 8392, 1091, 1525, 3056, 17445, 8829, 81, 6848, 1376, 4189, 797, 436, 1682, 761, 3342, 1713, 2476, 1383, 3192, 28, 2284, 2075, 6294, 3208, 14, 4885, 74, 1483, 2005, 4078, 1397, 276, 298, 2045, 3322, 6848, 3757, 702, 1559, 1858, 9218, 5202, 1479, 14, 681, 2431, 13642, 448, 1502, 4019, 461, 654, 23132, 1949, 1613, 28, 4838, 849, 14, 2860, 571, 6255, 1201, 285, 69, 92, 2575, 1856, 6077, 14011, 4321, 1148, 953, 821, 922, 482, 397, 2636, 3856, 727, 287, 309, 1035, 14226, 1821, 2575, 1856, 262, 1589, 87, 1510, 1856, 296, 11083, 262, 1589, 82, 4480, 1269, 660, 1579, 33, 570, 1141, 16012, 7120, 4958, 70, 18137, 4958, 18939, 572, 1639, 454, 6289, 1387, 2202, 1682, 19274, 81, 15522, 4116, 33, 4293, 901, 15688, 2075, 5345, 1248, 656, 734, 33, 461, 654, 23132, 2636, 665, 377, 1314, 720, 3712, 5766, 2660, 2653, 411, 24650, 68, 1988, 1230, 2103, 1091, 4602, 3917, 2103, 1091, 4602, 3917, 9422, 1773, 1460, 1871, 19301, 352, 363, 2431, 1679, 368, 521, 1735, 5598, 509, 1037, 1391, 9932, 1446, 5899, 352, 2111, 1849, 1261, 4612, 1940, 1053, 1988, 1230, 370, 965, 285, 670, 18608, 3917, 377, 11504, 3037, 849, 14, 570, 1141, 16012, 352, 570, 2431, 13744, 649, 2802, 276, 3074, 1814, 2012, 2990, 4189, 9327, 3746, 411, 24650, 68, 6059, 906, 4322, 3585, 436, 766, 1382, 3452, 1397, 607, 1086, 14, 16422, 18238, 12205, 1563, 582, 28, 812, 1241, 5577, 342, 724, 2464, 368, 1347, 77, 5860, 5770, 15383, 1692, 290, 2262, 274, 79, 74, 86, 917, 69, 1978, 685, 1821, 5604, 7174, 685, 285, 1061, 592, 79, 1035, 15640, 12250, 2776, 442, 4628, 5270, 489, 646, 2054, 1502, 368, 1154, 702, 12250, 906, 790, 1387, 572, 2235, 1483, 2005, 271, 13283, 16519, 223, 6112, 11218, 1491, 16647, 847, 1952, 9516, 620, 1060, 3723, 12999, 1599, 532, 607, 3467, 7745, 33, 946, 2582, 12892, 11504, 3037, 14, 14197, 11409, 352, 21327, 483, 10669, 7793, 3593, 2605, 615, 28, 6923, 1351, 3757, 702, 287, 5408, 3452, 358, 6595, 3342, 532, 377, 479, 3856, 2371, 665, 2084, 1602, 368, 436, 728, 482, 454, 6581, 985, 6779, 24881, 1792, 14018, 14, 223, 557, 14, 223, 557, 3, 570, 1141, 16012, 1269, 1327, 13441, 442, 9593, 1448, 1940, 1053, 368, 803, 16, 1618, 2602, 340, 17221, 340, 69, 920, 1814, 2012, 775, 240, 79, 1181, 4588, 724, 4827, 454, 786, 1412, 14, 1210, 2341, 567, 521, 2186, 766, 2756, 692, 461, 654, 23132, 14, 3065, 23034, 7278, 4144, 1503, 16, 3786, 6848, 1814, 2012, 18082, 15522, 11443, 572, 897, 370, 397, 2994, 1774, 757, 1994, 2211, 352, 2531, 1833, 368, 461, 654, 23132, 649, 1854, 1079, 4186, 2532, 363, 418, 6848, 1905, 2833, 1376, 4189, 795, 614, 482, 377, 370, 975, 1601, 342, 2802, 567, 656, 2203, 397, 1057, 635, 509, 16, 18050, 382, 6212, 2575, 1856, 14018, 14, 223, 557, 14, 223, 557, 3, 570, 1141, 16012, 1269, 1327, 13441, 442, 9593, 1448, 1940, 1053, 368, 803, 16, 6848, 2532, 363, 418, 1376, 340, 6621, 11218, 1491, 4293, 1269, 370, 479, 2246, 3368, 458, 33, 681, 10254, 3449, 1574, 337, 560, 3679, 3342, 979, 589, 582, 768, 409, 3422, 589, 607, 5725, 847, 3571, 5732, 24881, 1792, 2448, 11949, 4186, 2575, 1856, 9352, 611, 11817, 33, 1162, 71, 1446, 15583, 1424, 620, 445, 489, 2649, 1391, 293, 1043, 293, 381, 946, 4193, 5943, 276, 80, 271, 4970, 3193, 702, 12250, 2776, 804, 1320, 15844, 1640, 458, 352, 2139, 4083, 1482, 572, 397, 2190, 3509, 1883, 28, 7542, 1809, 955, 8968, 10746, 4612, 3, 1814, 2012, 1376, 4189, 3557, 2340, 946, 2514, 1944, 12892, 1005, 761, 1988, 1230, 4480, 2067, 482, 766, 720, 2632, 3289, 1849, 4450, 16, 946, 271, 4970, 985, 75, 5782, 685, 2389, 309, 3917, 4480, 1269, 660, 1579, 33, 570, 1141, 16012, 7120, 4958, 70, 18137, 4958, 18939, 572, 1639, 454, 6289, 1387, 3786, 6848, 411, 2003, 7776, 2561, 3462, 6848, 1682, 1448, 1447, 1320, 17096, 760, 1469, 24432, 607, 1035, 797, 2042, 1582, 728, 1403, 551, 681, 463, 3092, 67, 1857, 906, 274, 3417, 2620, 343, 616, 1618, 6402, 1754, 82, 847, 1372, 2389, 309, 6230, 6956, 1448, 6705, 12936, 14, 2258, 2860, 582, 489, 534, 4186, 6848, 285, 5826, 69, 6848, 2012, 775, 240, 79, 15522, 5720, 1244, 14, 972, 370, 860, 377, 33, 461, 654, 23132, 2139, 4083, 1559, 3824, 2174, 1706, 3045, 2158, 263, 616, 271, 68, 4480, 1269, 1327, 1306, 2866, 3, 1592, 500, 377, 637, 1640, 1838, 567, 905, 24400, 3, 6611, 20434, 2429, 1806, 564, 2766, 640, 646, 2246, 3368, 368, 11176, 1312, 4614, 1185, 1165 ]
[ 1, 73, 3322, 1814, 2103, 1091, 5189, 1834, 75, 582, 1721, 28, 9758, 646, 342, 370, 479, 6733, 84, 414, 88, 506, 9218, 5202, 1479, 14, 1756, 582, 368, 13273, 15456, 448, 2399, 461, 654, 23132, 403, 114, 86, 3839, 640, 28, 2073, 3253, 287, 765, 285, 670, 411, 24650, 80, 978, 23, 528, 22263, 461, 654, 23132, 303, 1018, 303, 1898, 2915, 352, 302, 3587, 757, 7168, 2605, 1358, 3917, 17284, 1446, 1141, 11504, 3037, 849, 14, 570, 2431, 13744, 7284, 397, 3289, 5179, 352, 4218, 572, 1639, 6848, 2012, 1376, 4189, 1351, 1200, 2380, 2050, 1682, 263, 998, 3559, 6956, 479, 2300, 6527, 2340, 1316, 1642, 5003, 734, 11218, 1491, 16647, 271, 957, 4239, 3425, 922, 377, 479, 1964, 458, 1838, 567, 656, 821, 922, 833, 571, 5450, 1705, 1154, 479, 368, 1834, 67, 967, 10025, 16, 263, 86, 69, 276, 1471, 597, 411, 12463, 86, 2182, 268, 10749, 3585, 436, 766, 1382, 3452, 1397, 607, 1086, 14, 16422, 18238, 12205, 1563, 582, 28, 812, 1241, 5577, 342, 724, 2464, 368, 1347, 77, 5860, 5770, 15383, 1692, 6848, 1814, 2012, 1165, 1314, 15522, 3193, 702, 12250, 2776, 1305, 798, 724, 8298, 10341, 4006, 3839, 846, 2103, 1091, 4602, 3917, 3557, 2340, 632, 1412, 946, 4193, 5943, 12642, 263, 3663, 21264, 8775, 8775, 570, 1141, 16012, 352, 570, 2431, 13744, 733, 691, 527, 4025, 13401, 905, 1737, 1955, 3112, 16, 276, 78, 86, 77, 1672, 1345, 3718, 521, 436, 448, 3659, 534, 1071, 920, 276, 26, 82, 17221, 342, 635, 14808, 3757, 1856, 20377, 3170, 450, 615, 656, 529, 445, 3539, 18663, 532, 1037, 656, 4122, 2476, 290, 2262, 343, 86, 1146, 83, 20377, 1891, 1523, 28, 7318, 1308, 4663, 1563, 411, 24650, 80, 79, 560, 261, 6212, 1821, 5604, 4239, 5277, 6212, 528, 7236, 3417, 75, 15025, 570, 10751, 564, 3085, 1326, 768, 620, 445, 377, 479, 2766, 640, 18790, 263, 616, 7174, 685, 3657, 1997, 2602, 3425, 2126, 1424, 521, 1121, 965, 274, 10036, 265, 10036, 2416, 1037, 6848, 1814, 2012, 740, 3769, 1685, 340, 468, 92, 1491, 11218, 9732, 5445, 1168, 14018, 14, 223, 557, 14, 223, 557, 3, 570, 1141, 16012, 1269, 1327, 13441, 442, 9593, 1448, 1940, 1053, 368, 803, 16, 651, 4602, 7669, 1057, 1108, 619, 616, 1302, 3, 3184, 7559, 15112, 370, 5294, 2826, 740, 5179, 4460, 1980, 1871, 2213, 1814, 2103, 1091, 4602, 3917, 287, 83, 90, 24650, 68, 507, 6175, 532, 342, 635, 656, 607, 692, 1637, 955, 1639, 33, 920, 4239, 4341, 3104, 760, 2548, 87, 10647, 10143, 665, 2990, 2235, 888, 3638, 368, 681, 10254, 3449, 2844, 3416, 1248, 1005, 761, 1459, 3963, 1682, 411, 2003, 7776, 15522, 4588, 436, 454, 10351, 2565, 377, 691, 782, 342, 1671, 4524, 1817, 635, 276, 261, 4078, 1397, 13248, 5377, 1592, 3268, 409, 500, 571, 738, 551, 509, 2114, 761, 342, 567, 906, 16, 411, 85, 7007, 13251, 2380, 2050, 13248, 5377, 11218, 1491, 340, 8715, 4838, 1579, 3, 461, 654, 23132, 2328, 2649, 13875, 397, 4663, 9760, 2215, 2103, 1091, 1814, 2012, 3193, 6539, 3902, 370, 2649, 2300, 5625, 14, 2139, 4083, 7284, 3893, 564, 1703, 4430, 1431, 280, 11612, 7282, 23511, 13088, 19593, 4186, 8062, 79, 445, 1698, 7174, 685, 3657, 6501, 4116, 4116, 4116, 3, 16597, 975, 12486, 14720, 9763, 2915, 454, 377, 1314, 720, 3712, 5766, 16519, 223, 6112, 11218, 1491, 16647, 6496, 5250, 397, 1095, 1314, 14, 17046, 2373, 500, 2324, 2775, 2183, 16, 2012, 1682, 3452, 2429, 2561, 1259, 1988, 1230, 15640, 12250, 2776, 370, 2230, 448, 1100, 572, 646, 3132, 3113, 368, 934, 3636, 490, 3786, 10142, 9674, 873, 15640, 12250, 2776, 691, 768, 2116, 1460, 368, 363, 2431, 1679, 3139, 12486, 879, 1431, 6848, 3757, 702, 1448, 1317, 450, 75, 363, 418, 296, 11083, 5782, 685, 5250, 397, 1095, 1314, 14, 3170, 821, 922, 370, 1721, 2302, 1324, 236, 6907, 6499, 578, 5604, 1821, 287, 8684, 2620, 309, 7174, 685, 285, 1061, 11504, 3037, 849, 14, 2009, 370, 1849, 4450, 615, 1303, 823, 2186, 5948, 1269, 342, 2186, 5948, 16, 2925, 10560, 411, 24650, 80, 2334, 2620, 2429, 3099, 873, 1559, 3009, 5537, 620, 3356, 445, 3674, 1419, 768, 397, 454, 521, 2166, 1391, 10952, 1525, 1639, 2085, 589, 342, 1060, 3723, 12999, 2334, 1148, 965, 285, 670, 1988, 1230, 570, 9435, 13744, 10308, 17318, 14, 436, 448, 3712, 10445, 397, 3671, 3104, 1362, 454, 5575, 10768, 14924, 14, 589, 2636, 2991, 397, 1525, 16, 2202, 1682, 285, 2188, 77, 8660, 1832, 15528, 287, 765, 363, 616, 67, 13476, 1774, 358, 2718, 4593, 352, 1814, 1403, 454, 3812, 1071, 2707, 1522, 352, 695, 6848, 2532, 285, 566, 592, 86, 293, 998, 6035, 685, 1230, 1204, 14807, 1302, 972, 607, 1682, 782, 3, 22486, 2660, 640, 352, 1655, 1108, 1563, 7284, 1980, 8181, 16, 21079, 81, 5298, 3514, 1469, 77, 7964, 9273, 3571, 5732, 4382, 592, 86, 24881, 1792, 17740, 342, 397, 821, 2066, 2424, 5399, 2300, 276, 26, 82, 17221, 3356, 445, 3674, 1419, 768, 3352, 1675, 415, 290, 298, 11118, 377, 479, 3633, 1833, 1840, 2706, 490, 16, 285, 309, 285, 86, 3099, 1671, 1618, 6402, 1754, 82, 656, 734, 965, 6575, 3442, 5559, 368, 1774, 972, 1157, 489, 3795, 660, 1371, 1347, 77, 5860, 500, 897, 797, 748, 2575, 1856, 1556, 1036, 69, 1477, 445, 2565, 1358, 14151, 931, 2749, 352, 582, 489, 1298, 436, 28, 643, 606, 6430, 461, 298, 342, 635, 33, 3786, 6848, 1814, 2012, 1376, 4189, 3769, 1685, 358, 85, 411, 20864, 81, 325, 862, 340, 1992, 67, 9516, 532, 448, 1382, 3590, 1248, 4576, 1431, 368, 10153, 955, 564, 7333, 1391, 1871, 33, 3786, 6848, 1905, 2833, 11150, 3964, 1376, 4189, 11504, 3037, 14, 397, 3378, 377, 2136, 4075, 1713, 482, 681, 463, 3092, 67, 342, 814, 534, 833, 1071, 4593, 1814, 2012, 2990, 4189, 660, 1069, 3757, 702, 1005, 11504, 3037, 14, 397, 3378, 377, 2136, 4075, 1713, 482, 681, 463, 3092, 67, 342, 814, 534, 833, 1071, 4593, 946, 1189, 566, 12037, 620, 592, 79, 1230, 6575, 3442, 5559, 368, 1774, 972, 1157, 489, 3795, 660, 1371, 1347, 77, 5860, 500, 897, 797, 748, 24881, 1792, 276, 15522, 263, 1141, 6745, 4644, 4379, 5537, 3099, 1671, 1618, 6402 ]
[ 1, 161, 254, 100, 12044, 240, 7385, 748, 16577, 16, 1544, 888, 1121, 740, 1185, 660, 1069, 14, 8075, 3366, 611, 2669, 807, 448, 3675, 1035, 415, 1716, 3366, 2661, 1170, 1829, 3886, 2579, 1667, 564, 1231, 804, 1716, 3366, 1039, 757, 660, 1069, 16, 4722, 635, 571, 1119, 804, 692, 368, 1716, 3366, 490, 352, 1562, 2526, 368, 611, 2669, 807, 615, 1316, 934, 1430, 3467, 5824, 846, 1621, 1330, 482, 660, 734, 33, 5431, 1524, 3534, 14, 9568, 13748, 9826, 1267, 352, 760, 911, 84, 2675, 655, 911, 78, 1077, 3455, 804, 1659, 570, 20388, 42, 1567, 692, 1832, 757, 1509, 352, 1829, 3886, 18337, 11805, 757, 1510, 14, 572, 1973, 846, 643, 9395, 14, 4602, 2876, 955, 3235, 16, 5431, 1524, 3996, 14, 1705, 1883, 1060, 68, 1077, 572, 1973, 846, 16368, 2348, 616, 90, 16, 5431, 15169, 14, 692, 1832, 757, 1509, 352, 1441, 2275, 1829, 3886, 18337, 11805, 757, 1510, 1567, 570, 43, 8631, 2203, 640, 1108, 1705, 1883, 24883, 3559, 82, 2893, 1267, 352, 10062, 69, 5897, 16, 5431, 13294, 14, 570, 43, 8631, 2203, 1705, 1883, 8317, 72, 1068, 878, 16, 3178, 651, 1829, 3886, 2952, 13994, 1829, 3886, 454, 4575, 3212, 490, 16, 5431, 23364, 14, 570, 39, 43, 42, 1259, 1983, 2203, 640, 17440, 378, 815, 16368, 878, 14135, 352, 1231, 804, 1705, 1883, 786, 1039, 638, 85, 1581, 953, 7743, 1448, 11, 1039, 757, 660, 1069, 16, 5431, 1524, 4010, 14, 1716, 3366, 1376, 1584, 804, 24153, 7254, 52, 16, 5431, 23506, 14, 13748, 9826, 1267, 352, 655, 911, 78, 1077, 3455, 442, 4328, 706, 7684, 461, 2095, 16348, 730, 234, 22729, 2670, 71, 368, 3235, 3378, 1695, 342, 521, 786, 2661, 1170, 1039, 757, 660, 1069, 16, 5431, 23116, 14, 8075, 3366, 611, 2669, 807, 450, 572, 1973, 1705, 1883, 1829, 3886, 22079, 18906, 511, 14, 4041, 1860, 1364, 1694, 1261, 2752, 7648, 1154, 1248, 489, 1222, 7454, 16, 8820, 695, 5961, 14, 24153, 7254, 52, 448, 2376, 10837, 1829, 3886, 489, 1222, 2145, 1421, 2385, 2293, 3067, 846, 3235, 14, 16091, 352, 2806, 16, 10242, 1379, 1787, 695, 5961, 14, 415, 2540, 3624, 368, 1716, 3366, 448, 1211, 1233, 7337, 1829, 3886, 804, 397, 1525, 342, 786, 1039, 352, 1287, 757, 1441, 2275, 2592, 1659, 16, 6468, 3291, 17, 5311, 14, 8075, 3366, 611, 2669, 807, 2013, 1050, 640, 1726, 1239, 1441, 2275, 740, 1108, 3705, 1989, 9011, 10955, 28, 4845, 20544, 1198, 1829, 3886, 14, 12892, 1443, 1705, 3520, 638, 18336, 53, 10846, 16339, 11, 4845, 9645, 1509, 665, 2661, 1170, 1829, 3886, 638, 18336, 4530, 23557, 2134, 611, 2669, 807, 1567, 397, 454, 521, 1716, 3366, 1829, 3886, 1199, 761, 660, 1069, 368, 3235, 1567, 2362, 692, 1501, 1953, 2916, 2107, 748, 5096, 923, 69, 353, 8508, 457, 1005, 846, 2634, 3397, 454, 3099, 1146, 695, 1086, 14, 489, 3290, 2205, 2970, 6702, 646, 10768, 13899, 368, 1708, 1989, 16, 975, 490, 16, 611, 2669, 807, 2393, 2822, 1421, 16, 3714, 1829, 3886, 740, 1185, 660, 1069, 14, 454, 509, 370, 23997, 1829, 3886, 551, 415, 1708, 3467, 5824, 1060, 68, 1077, 14, 18337, 11805, 14, 8854, 23448, 85, 14, 8317, 72, 1068, 878, 14, 655, 8116, 3715, 352, 10062, 69, 5897, 551, 4402, 3397, 3816, 4368, 4471, 1567, 450, 691, 1716, 3366, 1869, 2105, 1840, 1599, 1212, 1129, 615, 489, 1212, 1129, 16, 1212, 1129, 14, 3877, 3894, 352, 7981, 1231, 804, 1597, 1245, 1703, 2224, 790, 368, 534, 16, 223, 175, 256, 245, 117, 611, 2669, 807, 1268, 1637, 489, 1716, 3366, 1316, 934, 1430, 3467, 5824, 1039, 757, 12648, 13068, 6100, 6825, 17, 642, 17, 4578, 14, 8075, 3366, 12648, 13068, 448, 2614, 1306, 1268, 1637, 1397, 3873, 489, 611, 2669, 807, 5292, 85, 1567, 8075, 3366, 2661, 1170, 1829, 3886, 1039, 757, 660, 1069, 16, 1743, 5442, 4110, 3301, 490, 14, 611, 2669, 807, 5292, 85, 500, 1747, 903, 2661, 1170, 1371, 1389, 1829, 3886, 352, 1708, 3467, 5824, 368, 8075, 3366, 12648, 13068, 14, 489, 797, 1705, 1883, 1431, 1364, 482, 4385, 570, 981, 878, 14, 19361, 6089, 23253, 5860, 16212, 1872, 6212, 14747, 1124, 8201, 509, 14, 611, 2669, 807, 5292, 85, 448, 1747, 903, 2661, 1170, 397, 651, 1705, 1883, 1039, 757, 1621, 1330, 16, 1567, 3080, 1829, 3886, 352, 1708, 3467, 5824, 6491, 1364, 985, 8075, 3366, 12648, 13068, 757, 1509, 482, 28, 19361, 6089, 23253, 5860, 10308, 506, 14747, 14, 18337, 11805, 10308, 506, 19361, 6089, 13126, 1021, 8256, 14, 10062, 69, 5897, 10308, 506, 7451, 685, 441, 23253, 5860, 14, 4028, 67, 11544, 85, 29, 655, 8116, 3715, 10308, 506, 16961, 14747, 1124, 11170, 1015, 3995, 2614, 1306, 14, 611, 2669, 807, 5292, 85, 500, 1860, 1364, 1694, 1261, 1509, 1540, 352, 2661, 1170, 3365, 1198, 2575, 757, 450, 1108, 1250, 2172, 19361, 6089, 23253, 5860, 16212, 1872, 6212, 14747, 638, 14374, 748, 3357, 1745, 15819, 3467, 5824, 2380, 2779, 11, 352, 4385, 570, 981, 878, 13141, 1129, 638, 14374, 748, 6914, 3084, 1054, 1567, 1602, 1829, 3886, 11, 985, 8075, 3366, 12648, 13068, 757, 1509, 846, 3403, 13141, 1129, 16, 13883, 1071, 14, 611, 2669, 807, 5292, 85, 500, 1259, 1983, 1268, 1637, 489, 12648, 13068, 454, 397, 651, 1250, 2172, 3459, 607, 665, 1938, 934, 482, 1514, 1268, 3467, 5824, 503, 41, 3246, 7621, 846, 6530, 655, 67, 1124, 923, 53, 1797, 13068, 1268, 1637, 1397, 3873, 489, 611, 2669, 807, 24819, 7624, 564, 1576, 1659, 352, 4576, 1431, 1154, 2393, 1817, 2116, 16, 415, 1694, 1261, 846, 1708, 3467, 5824, 14, 1371, 1389, 1829, 3886, 1286, 1071, 1840, 2706, 1351, 1200, 352, 2506, 3911, 14, 1377, 5701, 415, 1840, 2706, 490, 923, 14, 8823, 4284, 4150, 22985, 3178, 8267, 4291, 12648, 13068, 21407, 4516, 6768, 450, 691, 846, 3995, 2614, 1306, 16, 8075, 3366, 12648, 13068, 940, 342, 1705, 1883, 1039, 757, 1621, 1330, 454, 3705, 1989, 2925, 2334, 14, 1559, 1858, 352, 3467, 5824, 14, 489, 415, 1250, 2172, 2579, 6183, 482, 28, 17301, 2401, 8241, 23660, 10308, 506, 12648, 23838, 6422, 17176, 14747, 638, 11717, 7886, 18395, 611, 8334, 85, 7007, 2532, 342, 923, 11113, 3467, 5824, 2991, 1388, 761, 660, 1069, 457, 7886, 4637 ]
[ 1, 4013, 10204, 11220, 8616, 619, 1975, 9545, 6282, 461, 6744, 79, 461, 9364, 58, 28, 1129, 643, 330, 5439, 14, 4699, 12181, 14, 528, 952, 4699, 18054, 14, 4441, 2749, 1330, 15543, 624, 23643, 48, 28, 570, 48, 6209, 17167, 1146, 8414, 14, 2799, 503, 9007, 14, 1330, 6701, 643, 2571, 14, 4127, 5343, 19763, 7867, 28, 17916, 2308, 16, 2490, 26, 16, 16839, 624, 50, 28, 314, 1874, 4199, 16, 24070, 16, 21855, 503, 2893, 28, 986, 4012, 3487, 560, 1220, 70, 11083, 18141, 14455, 302, 6676, 16, 2693, 6813, 8587, 28, 305, 4012, 3487, 560, 1220, 70, 11083, 16, 2693, 427, 2379, 1745, 15819, 1431, 1364, 14, 427, 2379, 293, 3200, 15893, 1268, 5721, 1745, 15819, 14, 427, 2379, 786, 2303, 2991, 1388, 14, 427, 2379, 1745, 15819, 2303, 14, 427, 2379, 293, 3200, 15893, 2303, 761, 14, 427, 2379, 1039, 10664, 1745, 15819, 3812, 8027, 2303, 761, 14, 503, 2861, 8444, 1745, 15819, 2303, 1567, 619, 1975, 704, 69, 6505, 293, 3200, 15893, 14, 2116, 1550, 1268, 5721, 293, 3200, 14, 8444, 786, 2303, 14, 4009, 8444, 2303, 14, 8444, 786, 2303, 940, 1520, 14, 8444, 1745, 15819, 940, 1520, 14, 8444, 786, 2303, 1421, 3893, 14, 8444, 293, 3200, 15893, 2303, 14, 8444, 1268, 5721, 293, 3200, 15893, 14, 1222, 1268, 5721, 293, 3200, 15893, 14, 1268, 5721, 293, 3200, 15893, 1222, 2085, 14, 1222, 293, 3200, 15893, 14, 8444, 293, 3200, 15893, 14, 3900, 8444, 786, 1364, 1421, 14, 8444, 293, 3200, 15893, 2303, 223, 14707, 15844, 14, 8444, 2303, 2126, 3353, 14, 8444, 1745, 15819, 14, 427, 2379, 519, 866, 1931, 112, 9128, 21057, 14, 427, 2379, 3623, 21296, 14, 427, 2379, 519, 866, 1931, 112, 1567, 427, 2379, 461, 6744, 79, 619, 1975, 9128, 21057, 14, 11220, 10774, 11403, 2799, 427, 2379, 1745, 15819, 1567, 9545, 5721, 293, 3200, 503, 322, 546, 7020, 14, 427, 2379, 1745, 15819, 1222, 1182, 14, 427, 2379, 1745, 15819, 14, 427, 2379, 786, 2303, 4720, 6496, 14, 9265, 10664, 293, 3200, 15893, 14, 18243, 4635, 293, 3200, 15893, 14, 2883, 2579, 5055, 21080, 79, 1919, 14, 20241, 293, 3200, 15893, 14, 3957, 1883, 293, 3200, 15893, 14, 3466, 2084, 293, 3200, 15893, 14, 6532, 293, 3200, 15893, 14, 293, 3200, 15893, 4082, 1817, 3712, 5522, 14, 8444, 2284, 2075, 1431, 4427, 2729, 377, 14, 4009, 8444, 293, 3200, 15893, 14, 293, 3200, 15893, 5522, 1534, 2829, 3270, 624, 15, 9953, 69, 2672, 4427, 2729, 377, 14, 5978, 293, 3200, 15893, 14, 6725, 4781, 293, 3200, 15893, 14, 3466, 293, 3200, 15893, 14, 1362, 6103, 293, 3200, 15893, 14, 19951, 15, 3466, 6584, 293, 3200, 15893, 14, 3209, 120, 22764, 293, 3200, 15893, 14, 6453, 1211, 293, 3200, 15893, 14, 427, 380, 786, 293, 3200, 15893, 14, 1689, 997, 1567, 2126, 1434, 1430, 1512, 293, 3200, 15893, 1199, 761, 1621, 1330, 2876, 1212, 1330, 846, 2304, 846, 8189, 4127, 5343, 14, 8189, 13581, 14, 2419, 10542, 14, 6601, 1021, 6410, 624, 618, 14615, 14, 23999, 643, 1214, 14, 2876, 10542, 14, 2876, 681, 451, 14, 2876, 13368, 14, 519, 550, 701, 71, 14, 4368, 15543, 14, 4368, 4471, 14, 4368, 1930, 562, 14, 4368, 24725, 14, 427, 267, 14482, 14, 9128, 8594, 14, 14110, 986, 353, 14, 14520, 17851, 14, 4699, 6582, 14, 6328, 13277, 14, 9709, 4368, 14, 4127, 10542, 14, 4127, 1330, 14, 20067, 16887, 14, 4699, 4471, 14, 4127, 23150, 14, 9973, 17289, 14, 18054, 10542, 14, 619, 423, 77, 643, 423, 77, 14, 619, 423, 77, 18554, 14, 7253, 461, 566, 14, 7253, 2961, 82, 14, 681, 464, 10542, 14, 19790, 9709, 14, 13277, 4402, 14, 681, 463, 388, 1992, 14, 7788, 2419, 14, 9407, 7253, 14, 18417, 20489, 14, 643, 1255, 8931, 14, 13794, 2419, 14, 1330, 15543, 14, 13368, 4368, 14, 13368, 24725, 14, 13141, 1931, 238, 14, 13141, 16887, 14, 10073, 4368, 1587, 10073, 1330, 14, 10073, 950, 3587, 14, 10073, 701, 496, 14, 10073, 13368, 14, 570, 2003, 17072, 14, 5731, 16824, 14, 8931, 5404, 14, 3816, 4368, 14, 1931, 1654, 4234, 8093, 295, 14, 3816, 8673, 290, 14, 11814, 10542, 14, 701, 267, 16385, 14, 14763, 8824, 14, 3073, 13368, 14, 17459, 7788, 14, 17459, 12368, 1587, 16887, 519, 868, 14, 10663, 3270, 14, 6175, 16887, 14, 1288, 643, 773, 14, 1330, 23379, 14, 23379, 13368, 14, 8515, 6768, 14, 11700, 14311, 14, 4699, 18054, 14, 18022, 20067, 14, 3142, 20067, 14, 1872, 16111, 11725, 14, 20067, 4127, 14, 6922, 9659, 14, 15038, 1689, 561, 14, 11814, 4699, 14, 3816, 14311, 14, 7210, 519, 606, 14, 7196, 17300, 14, 14674, 13863, 14, 2419, 4699, 14, 427, 1809, 4699, 14, 12790, 8931, 14, 15038, 2419, 14, 14311, 8673, 14, 5720, 643, 7072, 14, 17459, 6386, 14, 12790, 8931, 14, 15038, 6940, 14, 15038, 2419, 14, 2419, 18119, 14, 11757, 619, 2485, 14, 461, 286, 9422, 14, 6328, 20865, 14, 2214, 643, 273, 14, 16887, 7874, 14, 6282, 8931, 14, 16887, 19790, 14, 6228, 103, 6954, 14, 4368, 15625, 14, 14579, 5720, 14, 6282, 20218, 14, 6954, 5345, 14, 5731, 643, 2571, 14, 17251, 19890, 14, 12368, 16887, 14, 570, 544, 643, 304, 14, 11757, 4471, 14, 11757, 19042, 1587, 17459, 23818, 14, 16887, 14714, 14, 12368, 16887, 14, 16887, 7946, 14, 5720, 7127, 14, 6701, 8931, 14, 6328, 4368, 14, 16747, 7723, 14, 570, 544, 3168, 14, 2799, 6701, 14, 15543, 16824, 14, 7253, 528, 4066, 14, 13141, 4368, 14, 13141, 16747, 14, 15696, 1196, 566, 14, 18971, 1834, 71, 290, 14, 19191, 10591, 14, 5875, 868, 4402, 14, 6282, 12505, 14, 1288, 528, 604, 14, 3209, 120, 5388, 107, 14, 5720, 643, 431, 14, 4801, 10542, 14, 4801, 9407, 14, 16887, 1288, 14, 427, 1635, 1998, 606, 14, 13368, 10542, 14, 7369, 9087, 14, 6328, 643, 773, 14, 6282, 5647, 14, 1330, 18251, 14, 5731, 4127, 14, 20251, 2374, 14, 4368, 10542, 14, 3751, 18179, 14, 5731, 20800, 14, 1324, 236, 6907, 20040, 6701, 643, 2571, 14, 3585, 12145, 14, 14313, 1998, 478, 14, 619, 3035, 8355, 14, 5189, 6601, 701, 1044, 14, 1324, 236, 6907, 14568, 20338, 14, 4127, 3142, 14, 4698, 8218, 14, 7788, 17289, 14, 5731, 8515, 14, 3073 ]
[ 1, 7717, 144, 228, 351, 2105, 10281, 1717, 144, 228, 351, 2105, 9688, 692, 1165, 1787, 10, 948, 11, 9688, 692, 2284, 1787, 10, 838, 11, 9688, 2764, 901, 1079, 1257, 1787, 10, 1092, 11, 9688, 13845, 223, 144, 246, 1581, 223, 160, 115, 257, 267, 9845, 6070, 1787, 10, 2621, 11, 9688, 16033, 2075, 1787, 10, 958, 11, 9688, 570, 21534, 3075, 223, 160, 115, 257, 1043, 1787, 10, 3564, 11, 9688, 570, 21534, 8690, 927, 1787, 10, 759, 11, 9688, 1667, 1477, 1787, 10, 2465, 11, 9688, 946, 901, 1787, 10, 2354, 11, 9688, 3361, 1787, 1716, 511, 10, 2119, 11, 9688, 3361, 1787, 1716, 873, 10, 1372, 11, 9688, 3325, 2056, 2380, 1678, 1787, 10, 958, 11, 9688, 624, 21534, 8690, 927, 873, 10, 3164, 11, 8317, 451, 223, 160, 115, 257, 1043, 1787, 1716, 511, 10, 507, 11, 8317, 451, 223, 160, 115, 257, 1043, 1787, 1716, 873, 10, 2465, 11, 7671, 1621, 643, 15620, 511, 10, 2828, 11, 9688, 692, 1165, 1787, 10, 973, 11, 9688, 692, 2284, 1787, 10, 1066, 11, 9688, 2764, 901, 1079, 1257, 1787, 10, 2238, 11, 9688, 13845, 223, 144, 246, 1581, 223, 160, 115, 257, 267, 9845, 6070, 1787, 10, 2769, 11, 9688, 16033, 2075, 1787, 10, 1038, 11, 9688, 570, 21534, 950, 431, 223, 160, 115, 257, 1043, 1787, 10, 759, 11, 9688, 570, 21534, 8690, 927, 1787, 10, 3232, 11, 9688, 1667, 1477, 1787, 10, 1118, 11, 9688, 3361, 1787, 1716, 511, 10, 507, 11, 9688, 3361, 1787, 1716, 873, 10, 2123, 11, 9688, 3325, 2056, 2380, 1678, 1787, 10, 27, 11, 9688, 624, 21534, 8690, 927, 873, 10, 3313, 11, 8317, 451, 223, 160, 115, 257, 1043, 1787, 1716, 511, 10, 2971, 11, 8317, 451, 223, 160, 115, 257, 1043, 1787, 1716, 873, 10, 2971, 11, 9688, 692, 1165, 1787, 10, 948, 11, 9688, 692, 2284, 1787, 10, 968, 11, 9688, 2764, 901, 1079, 1257, 1787, 10, 1066, 11, 9688, 13845, 223, 144, 246, 1581, 223, 160, 115, 257, 267, 9845, 6070, 1787, 10, 4042, 11, 9688, 16033, 2075, 1787, 10, 968, 11, 9688, 570, 21534, 950, 431, 223, 160, 115, 257, 1043, 1787, 10, 2490, 11, 9688, 570, 21534, 8690, 927, 1787, 10, 4080, 11, 9688, 1667, 1477, 1787, 10, 3313, 11, 9688, 946, 901, 1787, 10, 968, 11, 9688, 3361, 1787, 1716, 511, 10, 2193, 11, 9688, 3361, 1787, 1716, 873, 10, 3312, 11, 9688, 3325, 2056, 2380, 1678, 1787, 10, 2193, 11, 9688, 624, 21534, 8690, 927, 873, 10, 3918, 11, 8317, 451, 223, 160, 115, 257, 1043, 1787, 1716, 511, 10, 2769, 11, 8317, 451, 223, 160, 115, 257, 1043, 1787, 1716, 873, 10, 507, 11, 6624, 901, 9845, 1170, 1800, 10, 2704, 11, 6624, 901, 9845, 1170, 3291, 10, 2354, 11, 6624, 901, 9845, 1170, 2963, 10, 2890, 11, 6624, 901, 9845, 1170, 1905, 10, 4659, 11, 6624, 901, 9845, 1170, 1997, 10, 2704, 11, 6624, 901, 9845, 1170, 2277, 10, 2890, 11, 6624, 901, 760, 38, 10802, 1800, 10, 968, 11, 6624, 901, 760, 38, 10802, 3291, 10, 958, 11, 6624, 901, 760, 38, 10802, 2963, 10, 642, 11, 6624, 901, 760, 38, 10802, 1905, 10, 1038, 11, 6624, 901, 760, 38, 10802, 1997, 10, 1952, 11, 6624, 901, 760, 38, 10802, 2277, 10, 1038, 11, 6624, 901, 16824, 1800, 10, 2486, 11, 6624, 901, 16824, 3291, 10, 3022, 11, 6624, 901, 16824, 2963, 10, 2238, 11, 6624, 901, 16824, 1997, 10, 2704, 11, 6624, 901, 16824, 2277, 10, 3232, 11, 6624, 901, 13845, 223, 144, 246, 1581, 1800, 10, 1092, 11, 6624, 901, 13845, 223, 144, 246, 1581, 3291, 10, 1851, 11, 6624, 901, 13845, 223, 144, 246, 1581, 2963, 10, 2119, 11, 6624, 901, 13845, 223, 144, 246, 1581, 1905, 10, 2354, 11, 6624, 901, 13845, 13927, 1997, 10, 3312, 11, 6624, 901, 13845, 223, 144, 246, 1581, 2277, 10, 3124, 11, 6624, 901, 950, 431, 4801, 1800, 10, 4539, 11, 6624, 901, 950, 431, 4801, 3291, 10, 2678, 11, 6624, 901, 950, 431, 4801, 2963, 10, 3709, 11, 6624, 901, 950, 431, 4801, 1905, 10, 11502, 11, 6624, 901, 950, 431, 4801, 1997, 10, 11502, 11, 6624, 901, 950, 431, 223, 160, 115, 257, 1043, 2277, 10, 3871, 11, 6624, 901, 7547, 1800, 10, 2769, 11, 6624, 901, 7547, 3291, 10, 2452, 11, 6624, 901, 7547, 2963, 10, 3022, 11, 6624, 901, 7547, 1905, 10, 4659, 11, 6624, 901, 7547, 1997, 10, 3933, 11, 6624, 901, 7547, 2277, 10, 4199, 11, 6624, 901, 7671, 1621, 3959, 1444, 10, 1851, 26, 11, 6624, 901, 8158, 901, 1800, 10, 2769, 11, 6624, 901, 8158, 901, 3291, 10, 2119, 11, 6624, 901, 8158, 901, 2963, 10, 1874, 11, 6624, 901, 8158, 901, 1905, 10, 1411, 11, 6624, 901, 8158, 901, 1997, 10, 474, 11, 6624, 901, 8158, 901, 2277, 10, 2177, 11, 6624, 901, 8690, 927, 1800, 10, 2490, 11, 6624, 901, 8690, 927, 3291, 10, 2890, 11, 6624, 901, 8690, 927, 2963, 10, 4449, 11, 6624, 901, 8690, 927, 1787, 10, 3534, 11, 6624, 901, 8690, 927, 1905, 10, 4088, 11, 6624, 901, 8690, 927, 1997, 10, 2332, 11, 6624, 901, 8690, 927, 2277, 10, 4659, 11, 6624, 901, 8690, 927, 3959, 511, 10, 4659, 11, 6624, 901, 8690, 927, 3959, 873, 10, 3972, 11, 6624, 901, 8690, 927, 3959, 1146, 10, 2332, 11, 6624, 901, 8690, 927, 3959, 1421, 10, 4199, 11, 6624, 901, 8690, 927, 3959, 1444, 10, 3664, 11, 6624, 901, 17191, 1170, 1800, 10, 1092, 11, 6624, 901, 17191, 1170, 3291, 10, 2769, 11, 6624, 901, 17191, 1170, 2963, 10, 3668, 11, 6624, 901, 17191, 1170, 1905, 10, 507, 11, 6624, 901, 17191, 1170, 1997, 10, 2354, 11, 6624, 901, 17191, 1170, 2277, 10, 4449, 11, 37, 4831, 54, 10, 24, 11, 8318, 223, 144, 246, 434, 223, 160, 115, 257, 1043, 1868, 1621, 1330, 10, 507, 11, 14450, 2620, 3183, 12663, 2024, 643, 15620, 1800, 10, 2177, 27, 11, 14450, 2620, 3183, 12663, 2024, 643, 15620, 3291, 10, 14527, 11, 14450, 2620, 3183, 12663, 2024, 643, 15620, 2963, 10, 3004, 21, 11, 14450, 2620, 3183, 12663, 2024, 643, 15620, 1787, 10, 2123, 27, 11, 14450, 2620, 3183, 12663 ]
[ 1, 2024, 643, 15620, 1905, 10, 22, 2596, 11, 14450, 2620, 3183, 12663, 2024, 643, 15620, 1997, 10, 3714, 11, 14450, 2620, 3183, 12663, 2024, 643, 15620, 2277, 10, 3124, 20, 11, 14450, 2620, 3854, 901, 10, 10410, 11, 12171, 2533, 7582, 10, 968, 11, 7232, 1649, 3769, 57, 7606, 10, 1274, 11, 40, 597, 308, 144, 228, 5031, 1162, 14979, 144, 246, 511, 10, 4449, 11, 40, 597, 308, 144, 228, 5031, 1162, 14979, 144, 246, 873, 10, 1118, 11, 40, 597, 308, 144, 228, 5031, 1162, 14979, 144, 246, 1146, 10, 1118, 11, 40, 597, 308, 144, 228, 5031, 1162, 14979, 144, 246, 1421, 10, 3920, 11, 40, 597, 308, 144, 228, 5031, 1162, 14979, 144, 246, 1444, 10, 2596, 11, 9867, 3893, 343, 499, 11603, 5330, 873, 10, 1066, 11, 9867, 3893, 343, 499, 1347, 1082, 934, 3325, 2056, 873, 10, 2193, 11, 9867, 3893, 343, 499, 7671, 1477, 873, 10, 20, 11, 9867, 3893, 343, 499, 7671, 1621, 873, 1716, 511, 10, 1038, 11, 9867, 3893, 343, 499, 7671, 1621, 873, 1716, 873, 10, 1038, 11, 9867, 3893, 343, 499, 3361, 873, 6751, 82, 511, 10, 3564, 11, 9867, 3893, 343, 499, 3361, 873, 6751, 82, 873, 10, 3124, 11, 9867, 3893, 343, 499, 8078, 1257, 223, 160, 115, 257, 267, 223, 144, 230, 736, 1300, 873, 10, 2177, 11, 9867, 2729, 2725, 223, 144, 246, 2744, 1482, 11603, 5330, 873, 10, 958, 11, 9867, 2729, 2725, 223, 144, 246, 2744, 1482, 1347, 1082, 934, 3325, 2056, 873, 10, 27, 11, 9867, 2729, 2725, 223, 144, 246, 2744, 1482, 7671, 1621, 873, 1716, 511, 10, 2119, 11, 9867, 2729, 2725, 223, 144, 246, 2744, 1482, 7671, 1621, 873, 1716, 873, 10, 2465, 11, 9867, 2729, 2725, 223, 144, 246, 2744, 1482, 3361, 873, 6751, 82, 511, 10, 2704, 11, 9867, 2729, 2725, 223, 144, 246, 2744, 1482, 3361, 873, 6751, 82, 873, 10, 3124, 11, 9867, 2729, 2725, 223, 144, 246, 2744, 1482, 8078, 1257, 223, 160, 115, 257, 267, 223, 144, 230, 736, 1300, 873, 10, 2354, 11, 9867, 1306, 3582, 11603, 5330, 873, 10, 958, 11, 9867, 1306, 3582, 7671, 1621, 873, 1716, 511, 10, 3312, 11, 9867, 1306, 3582, 7671, 1621, 873, 1716, 873, 10, 507, 11, 9867, 1306, 3582, 3361, 873, 6751, 82, 511, 10, 3216, 11, 9867, 1306, 3582, 3361, 873, 6751, 82, 873, 10, 2193, 11, 9867, 1306, 3582, 8078, 1257, 223, 160, 115, 257, 267, 223, 144, 230, 736, 1300, 873, 10, 3312, 11, 9867, 570, 21534, 16824, 2963, 10, 1092, 11, 9867, 570, 21534, 7547, 2963, 10, 2890, 11, 9867, 570, 21534, 8690, 927, 2963, 10, 2177, 11, 9867, 570, 21534, 17191, 1170, 2963, 10, 2890, 11, 9867, 570, 41, 45, 9845, 6070, 2963, 10, 2193, 11, 9867, 570, 41, 45, 16824, 1800, 10, 2769, 11, 9867, 570, 41, 45, 16824, 3291, 10, 3668, 11, 9867, 570, 41, 45, 16824, 2963, 10, 1092, 11, 9867, 570, 41, 45, 16824, 2963, 461, 2346, 1431, 10, 2557, 11, 9867, 570, 41, 45, 16824, 1997, 10, 2971, 11, 9867, 570, 41, 45, 16824, 2277, 10, 2557, 11, 9867, 570, 41, 45, 13845, 13927, 2963, 10, 2119, 11, 9867, 570, 41, 45, 6954, 1800, 10, 2971, 11, 9867, 570, 41, 45, 6954, 3291, 10, 507, 11, 9867, 570, 41, 45, 6954, 2963, 461, 2346, 1431, 10, 4042, 11, 9867, 570, 41, 45, 7547, 1800, 10, 2119, 11, 9867, 570, 41, 45, 7547, 3291, 10, 2490, 11, 9867, 570, 41, 45, 7547, 2963, 10, 2238, 11, 9867, 570, 41, 45, 7547, 2963, 461, 2346, 1431, 10, 3628, 11, 9867, 570, 41, 45, 7547, 1905, 10, 2557, 11, 9867, 570, 41, 45, 7547, 1997, 10, 3628, 11, 9867, 570, 41, 45, 7547, 2277, 10, 2557, 11, 9867, 570, 41, 45, 7671, 1477, 1800, 1005, 10, 3004, 11, 9867, 570, 41, 45, 7671, 1477, 3291, 1005, 10, 2678, 11, 9867, 570, 41, 45, 7671, 1477, 2963, 1005, 10, 3164, 11, 9867, 570, 41, 45, 7671, 1477, 1444, 1005, 10, 3534, 11, 9867, 570, 41, 45, 7671, 1477, 1787, 1005, 10, 4080, 11, 9867, 570, 41, 45, 7671, 1477, 1905, 1005, 10, 3164, 11, 9867, 570, 41, 45, 7671, 1477, 1997, 1005, 10, 10687, 11, 9867, 570, 41, 45, 7671, 1477, 2277, 1005, 10, 10687, 11, 9867, 570, 41, 45, 7671, 1477, 3959, 1146, 10, 3468, 11, 9867, 570, 41, 45, 7671, 1477, 3959, 1421, 10, 3468, 11, 9867, 570, 41, 45, 8158, 901, 2963, 10, 948, 11, 9867, 570, 41, 45, 8690, 927, 511, 1567, 427, 1651, 795, 499, 10, 3709, 11, 9867, 570, 41, 45, 8690, 927, 511, 1567, 8476, 1719, 1270, 1534, 10, 3468, 11, 9867, 570, 41, 45, 8690, 927, 1800, 10, 2465, 11, 9867, 570, 41, 45, 8690, 927, 3291, 10, 3668, 11, 9867, 570, 41, 45, 8690, 927, 2963, 10, 2769, 11, 9867, 570, 41, 45, 8690, 927, 1146, 10, 2804, 11, 9867, 570, 41, 45, 8690, 927, 1421, 10, 9026, 11, 9867, 570, 41, 45, 8690, 927, 1444, 10, 9964, 11, 9867, 570, 41, 45, 8690, 927, 1905, 10, 4659, 11, 9867, 570, 41, 45, 8690, 927, 1997, 10, 3996, 11, 9867, 570, 41, 45, 8690, 927, 2277, 10, 4088, 11, 9867, 570, 41, 45, 17191, 1170, 2963, 10, 2486, 11, 9867, 570, 41, 45, 17191, 1170, 1905, 10, 507, 11, 9867, 570, 41, 45, 17191, 1170, 1997, 10, 2123, 11, 9867, 570, 41, 45, 17191, 1170, 2277, 10, 3664, 11, 9867, 8075, 1248, 951, 9845, 6070, 2963, 10, 3564, 11, 9867, 624, 21534, 8690, 927, 1146, 10, 10753, 11, 9867, 624, 21534, 8690, 927, 1421, 10, 11855, 11, 9867, 624, 21534, 8690, 927, 1444, 10, 10152, 11, 9063, 2673, 10, 16066, 11, 7312, 1556, 1550, 10, 2971, 11, 9123, 814, 1198, 11650, 10, 1038, 11, 8540, 17577, 10, 24, 11, 8540, 1667, 1477, 10, 9529, 11, 12504, 2050, 4086, 1459, 3963, 10, 3312, 11, 24992, 1334, 427, 5, 10, 4080, 11, 24992, 1334, 427, 16904, 10, 4292, 11, 24992, 1334, 13057, 223, 160, 115, 257, 267, 19073, 10, 4010, 11, 24992, 1334, 1312, 67, 160, 115, 257, 67, 10, 3871, 11, 24992, 1334, 1312, 67, 160, 115, 257, 67, 144, 246, 69 ]
[ 1, 1958, 1210, 2341, 691, 1783, 2533, 368, 692, 1832, 551, 454, 1371, 814, 1198, 2661, 1170, 6518, 7282, 1182, 377, 33, 8355, 1459, 415, 6848, 6518, 7282, 1181, 3118, 2469, 450, 1783, 2533, 1110, 2005, 3514, 69, 353, 14, 521, 4275, 1783, 2533, 1305, 1833, 3514, 69, 353, 3303, 2203, 6848, 3557, 1222, 804, 1181, 733, 2341, 3590, 532, 3485, 2430, 761, 342, 6518, 7282, 16, 5145, 932, 14, 1322, 1829, 1039, 1269, 2632, 953, 1783, 2533, 3514, 77, 835, 14, 3674, 21174, 20838, 15423, 6848, 2026, 615, 6518, 7282, 632, 9943, 1721, 489, 1682, 442, 823, 979, 1721, 12486, 6518, 7282, 2416, 1015, 4041, 1187, 442, 692, 953, 1949, 11079, 2592, 761, 16, 5488, 785, 28, 24655, 69, 580, 6848, 262, 623, 14123, 13560, 873, 2026, 640, 6518, 7282, 12731, 6848, 450, 6518, 7282, 632, 21966, 19629, 3557, 5450, 2340, 1915, 5819, 482, 342, 814, 2182, 1847, 4041, 2209, 442, 5782, 932, 1183, 5537, 2105, 6848, 490, 803, 448, 901, 1574, 442, 1185, 1358, 3624, 3403, 342, 6848, 6518, 7282, 3557, 1222, 1447, 16, 1477, 972, 1977, 2960, 352, 4086, 1869, 2202, 1682, 6518, 7282, 1154, 657, 803, 1265, 271, 13585, 2592, 761, 2086, 9457, 632, 1783, 2533, 1305, 1833, 1110, 2005, 352, 1559, 1858, 489, 458, 16, 4534, 10295, 665, 2532, 2105, 6848, 6518, 7282, 368, 790, 1248, 1706, 803, 442, 2781, 1919, 572, 370, 1637, 953, 521, 479, 1671, 377, 2067, 1403, 454, 521, 651, 509, 1210, 2341, 415, 10494, 6848, 442, 1705, 1265, 748, 1675, 2417, 342, 28, 6848, 1198, 2389, 14, 6848, 1305, 3112, 14, 6848, 1892, 2172, 14, 6848, 3045, 965, 14, 6848, 6979, 1622, 18463, 2529, 370, 5060, 1608, 734, 4041, 529, 445, 370, 479, 1187, 2209, 442, 521, 6848, 6518, 7282, 1071, 10494, 6848, 33, 4722, 490, 2126, 3353, 1605, 14, 1977, 3692, 1980, 2448, 1127, 1588, 352, 532, 500, 798, 370, 879, 797, 479, 1671, 6848, 4041, 529, 445, 1695, 3089, 16, 3393, 1286, 10494, 6848, 1783, 2533, 1110, 2005, 823, 448, 733, 2582, 5402, 2469, 450, 479, 415, 1671, 2417, 16, 3184, 1613, 766, 665, 5537, 2105, 2203, 6848, 2026, 615, 6518, 7282, 823, 532, 500, 1219, 826, 3037, 3089, 1695, 442, 2202, 1682, 657, 640, 415, 532, 1265, 1357, 16, 5297, 2258, 2781, 3614, 489, 1882, 651, 3746, 951, 397, 651, 1563, 5521, 368, 1248, 1706, 656, 2203, 6848, 2026, 615, 6518, 7282, 352, 1682, 6848, 6518, 7282, 1154, 657, 1248, 1706, 448, 1768, 1682, 28, 3080, 2202, 1682, 1286, 589, 2393, 2822, 864, 2136, 2541, 368, 458, 16, 5024, 1187, 572, 864, 1239, 1387, 368, 2202, 1682, 352, 415, 532, 500, 342, 3746, 951, 804, 692, 1053, 448, 342, 511, 454, 1563, 12502, 489, 651, 4875, 1582, 748, 797, 1157, 489, 521, 436, 1165, 1682, 728, 16, 13096, 4584, 5782, 768, 1269, 1479, 1376, 632, 521, 1576, 1953, 352, 4584, 1682, 16, 3894, 3010, 293, 3219, 500, 442, 1703, 1721, 884, 2860, 2139, 293, 306, 87, 1738, 1050, 2636, 2103, 656, 532, 1327, 691, 615, 442, 2084, 1248, 5645, 864, 2461, 4220, 18759, 16, 2073, 1682, 6848, 6518, 7282, 1095, 1582, 766, 6644, 10709, 5645, 917, 855, 1839, 16, 5145, 1613, 644, 415, 532, 500, 2424, 2050, 615, 2174, 6532, 646, 4084, 2593, 2050, 2026, 615, 3301, 3884, 1520, 3935, 1105, 454, 1857, 4584, 9697, 16, 388, 9277, 1022, 1541, 905, 2393, 2822, 6848, 3557, 2340, 5450, 632, 1576, 1869, 1838, 1659, 2514, 884, 1977, 2960, 415, 1110, 1381, 572, 2235, 564, 4274, 1002, 116, 521, 1091, 1667, 632, 2202, 1682, 16, 5300, 1053, 489, 1672, 2203, 6848, 3557, 5450, 2340, 615, 1270, 1460, 1783, 2533, 28, 2925, 418, 9574, 418, 13516, 14238, 16, 18141, 415, 532, 500, 442, 4311, 4189, 1649, 1675, 814, 1015, 28, 19, 16, 21744, 532, 3089, 1695, 8389, 415, 2202, 6315, 1510, 2103, 761, 1525, 740, 567, 1597, 1459, 6848, 6518, 7282, 20, 16, 4838, 2174, 2174, 2781, 2088, 3224, 804, 521, 479, 797, 1671, 6848, 377, 2067, 1403, 564, 532, 3089, 1695, 21, 16, 5727, 2781, 3614, 1882, 651, 2202, 6315, 1722, 1185, 3557, 2340, 14, 4844, 266, 12951, 14, 4844, 3544, 1938, 18463, 4262, 2211, 489, 1298, 3746, 951, 342, 24655, 69, 580, 1869, 6848, 3557, 2340, 993, 646, 3, 22, 16, 9225, 1314, 13808, 15387, 1400, 4006, 4006, 564, 436, 1655, 21966, 19629, 6518, 7282, 1259, 1983, 442, 820, 1512, 415, 6848, 6518, 7282, 1005, 5402, 2469, 450, 1783, 2533, 1305, 1833, 368, 790, 1248, 1706, 803, 16, 23, 16, 2978, 409, 2341, 567, 17102, 82, 5860, 4041, 1459, 3624, 17102, 1682, 2202, 1682, 651, 3624, 1722, 1185, 370, 479, 13816, 4851, 1053, 1403, 1459, 1199, 2752, 4235, 1320, 2430, 1157, 489, 2202, 1682, 368, 803, 482, 342, 11630, 5532, 14, 9943, 1721, 18463, 5145, 3395, 1977, 22026, 17102, 82, 5860, 4041, 1305, 1100, 692, 1501, 1510, 2103, 761, 632, 415, 2202, 6315, 18759, 1039, 906, 16, 3086, 1892, 1608, 734, 4041, 1576, 1659, 6848, 615, 6518, 7282, 3557, 1222, 1447, 632, 1783, 2533, 33, 2657, 490, 823, 1675, 2111, 2126, 3353, 352, 2424, 3540, 1605, 14, 1977, 571, 1071, 1170, 1559, 368, 803, 28, 36, 19, 28, 4293, 665, 2925, 418, 9574, 418, 13516, 14238, 16, 18141, 36, 20, 28, 16538, 2174, 2105, 657, 415, 532, 11494, 5620, 14, 21174, 3674, 20838, 15423, 6848, 3557, 1978, 2340, 16, 15578, 490, 803, 2341, 521, 2174, 2105, 1015, 28, 12731, 6848, 2026, 615, 1783, 2533, 1305, 1833, 6518, 7282, 12731, 6848, 2026, 615, 1783, 2533, 1110, 2005, 5031, 5434, 12731, 6848, 450, 1783, 2533, 1305, 1833, 1110, 2005, 223, 315, 4373, 12731, 6848, 4769, 3593, 36, 21, 28, 5250, 15578, 3089, 1695, 442, 5537, 2105, 14, 1953, 1259, 1187, 397, 6848, 1154, 657, 532, 370, 3409, 1362, 4086, 6848, 2026, 615, 6518, 7282, 454, 521, 479, 1671, 6848, 2417, 16, 36, 22, 28, 11170, 665, 2012, 13567, 415, 532, 500, 798, 370, 1671, 5587, 2787, 4829, 3271, 2883, 812, 69, 580, 1980, 1412, 2143, 5024, 11150, 464, 1306, 665, 458, 564, 1086, 442, 1391, 1553, 1483, 1306, 1576, 1659, 6848, 615, 6518, 7282, 368, 2202, 1682, 509, 16, 36, 23, 28, 427, 580, 1869, 489, 6315, 1831, 1605, 16, 8949, 3352, 482, 532, 20838 ]
[ 1, 5889, 274, 1506, 3931, 4041, 3051, 651, 3624, 3099, 8436, 1940, 4736, 1257, 342, 397, 1892, 2172, 1182, 1567, 5782, 932, 458, 1269, 377, 1502, 450, 532, 1231, 804, 397, 1563, 3876, 804, 21832, 16, 3895, 532, 370, 3409, 1362, 571, 3802, 2445, 489, 1459, 3624, 3104, 3876, 352, 1892, 1608, 1397, 2429, 16, 5024, 3118, 572, 2190, 18433, 343, 9774, 1491, 1980, 1298, 2594, 3624, 436, 16, 3751, 2056, 1563, 5521, 490, 500, 2182, 2822, 2907, 450, 790, 803, 454, 1854, 2892, 16, 1366, 532, 833, 5527, 1941, 1806, 450, 1053, 14, 4993, 1525, 740, 397, 1919, 2524, 14, 3010, 1182, 342, 1244, 1938, 1015, 397, 4892, 965, 1503, 657, 7701, 1210, 2341, 1254, 564, 1233, 14, 342, 511, 920, 2430, 5209, 564, 3931, 720, 1153, 940, 16, 3895, 2393, 2822, 1721, 397, 377, 797, 11550, 823, 532, 500, 370, 479, 5918, 3565, 1259, 4629, 415, 1708, 1989, 1713, 1652, 728, 1403, 740, 532, 3485, 951, 16, 13914, 9102, 2630, 2362, 1814, 1814, 11909, 4647, 5051, 500, 571, 1649, 1675, 5872, 923, 3198, 1094, 85, 12940, 457, 2424, 748, 14, 352, 1838, 567, 521, 5872, 923, 3198, 1094, 85, 12940, 457, 1541, 4663, 15726, 1134, 1672, 720, 4629, 1397, 649, 500, 2428, 521, 1773, 1705, 2917, 1713, 1400, 16, 1366, 529, 445, 720, 1254, 2417, 2756, 692, 1308, 1563, 377, 14, 1831, 1831, 1831, 2756, 692, 1891, 16, 388, 1803, 823, 567, 656, 532, 720, 2756, 692, 1037, 823, 733, 979, 397, 1134, 9457, 5872, 2756, 692, 9931, 757, 415, 532, 500, 5402, 1397, 3167, 2196, 3, 1598, 2461, 4220, 3365, 953, 450, 1459, 3624, 1298, 1245, 1268, 342, 4162, 656, 529, 445, 766, 21174, 3674, 4214, 1716, 1556, 1270, 368, 803, 14, 1977, 1049, 3931, 1639, 1941, 1806, 16, 5727, 572, 768, 1563, 656, 529, 445, 1755, 482, 2227, 3037, 665, 2294, 1270, 804, 692, 368, 803, 14, 1181, 656, 529, 445, 377, 479, 12432, 2605, 442, 16, 6954, 2230, 490, 2632, 953, 1838, 567, 656, 529, 445, 766, 1148, 953, 3876, 3757, 6196, 67, 1567, 7845, 3757, 1322, 482, 1829, 1039, 377, 2227, 3037, 500, 4950, 442, 1157, 1892, 14, 905, 656, 509, 532, 500, 564, 4238, 1434, 1858, 16, 4288, 632, 1194, 2605, 4993, 14, 823, 814, 922, 2424, 748, 342, 415, 532, 900, 16, 5024, 2605, 11218, 2188, 15, 92, 2045, 2565, 785, 532, 377, 3477, 846, 1622, 14, 352, 1831, 1831, 900, 450, 738, 4224, 1902, 4287, 1424, 368, 1157, 1892, 16, 8355, 1459, 532, 1682, 448, 733, 4593, 1071, 532, 454, 651, 521, 1722, 1955, 2506, 761, 1050, 16, 4722, 490, 2179, 1745, 837, 1388, 1949, 656, 529, 445, 551, 740, 1622, 1567, 1322, 1829, 1039, 5111, 1639, 1622, 656, 766, 720, 3757, 589, 7021, 3713, 14, 448, 2035, 2341, 1854, 2892, 734, 1512, 3237, 2303, 1303, 14, 1119, 3010, 1182, 342, 1049, 3824, 1320, 1534, 3, 1366, 2035, 3806, 532, 377, 13875, 442, 923, 24727, 411, 496, 80, 457, 823, 509, 1269, 377, 5308, 342, 274, 2739, 6457, 1675, 14, 1541, 932, 7845, 1302, 1747, 15798, 1567, 814, 837, 1388, 2179, 1745, 342, 529, 445, 2637, 1170, 358, 2744, 734, 489, 1882, 651, 1057, 803, 1210, 2341, 442, 28, 1322, 1185, 1358, 521, 635, 529, 445, 370, 342, 397, 454, 3317, 266, 12940, 73, 1797, 1134, 3876, 265, 868, 1483, 14, 1977, 2324, 3544, 368, 786, 1134, 415, 2594, 23348, 11596, 16, 3895, 482, 1829, 1039, 370, 397, 975, 1837, 240, 1053, 397, 6991, 10788, 1854, 1157, 14, 3931, 2373, 415, 3811, 786, 572, 352, 1187, 3618, 397, 1582, 740, 1431, 564, 14331, 6196, 67, 16, 5727, 979, 397, 2108, 1605, 823, 532, 649, 500, 2209, 442, 6442, 2182, 951, 5769, 3, 1366, 1254, 766, 290, 935, 454, 397, 393, 4515, 8626, 352, 798, 370, 3746, 951, 615, 14, 4218, 572, 2429, 3876, 500, 1182, 748, 342, 2625, 3051, 16, 3895, 482, 1157, 1839, 368, 1829, 1039, 1110, 2005, 14, 534, 1269, 3268, 442, 370, 532, 766, 290, 935, 454, 786, 14, 1053, 1134, 342, 2756, 692, 1713, 274, 10730, 5716, 14, 1134, 534, 500, 1187, 920, 3757, 4006, 6809, 2085, 8626, 1037, 16, 760, 743, 1316, 2409, 450, 2186, 6036, 368, 415, 532, 500, 1182, 748, 16, 2609, 4214, 1716, 738, 2632, 953, 856, 352, 1158, 4041, 293, 1329, 79, 3310, 6809, 5179, 1134, 2594, 290, 935, 454, 1613, 3757, 1403, 14, 352, 564, 1233, 768, 1756, 1574, 16823, 17102, 2991, 820, 1512, 638, 11605, 11910, 368, 692, 1832, 370, 2380, 1424, 637, 1525, 740, 3945, 589, 11, 500, 2399, 450, 532, 377, 797, 720, 4238, 3746, 951, 748, 16823, 2991, 1525, 1157, 2723, 16, 1366, 415, 532, 691, 768, 1248, 1706, 3459, 820, 2663, 1747, 1397, 14, 1134, 589, 2605, 1035, 397, 3310, 3087, 6453, 3325, 14, 1977, 1148, 953, 955, 1703, 1534, 482, 655, 4269, 77, 2347, 546, 2430, 1158, 6756, 13454, 10094, 6072, 14, 905, 4078, 644, 2605, 442, 1703, 1091, 352, 2775, 3713, 1071, 1095, 1314, 370, 479, 1455, 415, 532, 454, 302, 506, 262, 4374, 16, 37, 5728, 2449, 733, 442, 4885, 261, 2349, 368, 2202, 1682, 6184, 656, 532, 551, 2145, 920, 8374, 79, 1246, 640, 14, 884, 3746, 951, 1682, 500, 2103, 1198, 6184, 551, 2145, 920, 2373, 748, 377, 4073, 2114, 1567, 2514, 342, 1322, 532, 766, 3065, 2397, 9353, 14, 397, 1563, 3876, 14331, 6196, 67, 879, 370, 479, 2424, 3540, 1153, 940, 572, 529, 445, 637, 2373, 16, 14222, 7972, 3055, 86, 564, 1424, 3966, 3310, 656, 1269, 290, 1410, 648, 18405, 342, 397, 454, 920, 1883, 1735, 564, 2324, 3544, 14, 5782, 932, 1977, 6164, 1388, 905, 436, 415, 532, 1269, 1269, 3447, 12965, 1919, 79, 397, 2315, 656, 529, 445, 6571, 1563, 1639, 12665, 3055, 86, 14, 2399, 450, 790, 803, 720, 4238, 2042, 733, 656, 766, 290, 935, 665, 10075, 16, 9827, 16383, 14, 761, 342, 521, 4343, 2775, 3713, 482, 8763, 2343, 611, 1446, 12392, 14, 342, 1298, 14659, 1756, 1891, 5209, 16, 21416, 529, 1388, 1383, 1602, 14, 352, 2399, 450, 521, 2186, 607, 665, 900, 768, 3811, 786, 377, 3477, 846, 1254, 14, 2399, 529, 2424, 1203, 6988, 720, 3757, 3539, 16, 6254, 1382, 3893, 2085, 500, 2660 ]
[ 1, 86, 8684, 274, 685, 271, 7374, 10361, 3045, 1231, 1119, 10678, 7092, 454, 2776, 1534, 4618, 8058, 6848, 1814, 2012, 1376, 5377, 263, 604, 3184, 2190, 821, 2007, 1391, 4843, 9081, 1525, 3056, 1424, 821, 1305, 934, 14, 2202, 1682, 1814, 2012, 2103, 1091, 15522, 276, 78, 86, 12243, 1119, 1682, 6927, 734, 14397, 1563, 15256, 955, 2235, 740, 1391, 823, 4492, 2211, 18207, 2625, 4133, 14951, 757, 3997, 3812, 10966, 16, 1892, 1608, 1682, 1556, 12789, 87, 3356, 1502, 738, 1525, 3056, 3174, 4400, 2872, 2614, 1306, 3135, 450, 1689, 1491, 13871, 76, 3171, 16024, 946, 9182, 2336, 414, 3217, 305, 4012, 3487, 75, 271, 4970, 946, 4193, 4199, 5943, 7385, 1509, 920, 342, 2743, 1509, 3556, 14, 6918, 418, 1713, 4889, 1231, 804, 2105, 1840, 733, 6234, 368, 692, 529, 16, 302, 878, 6171, 2073, 1254, 1345, 934, 1574, 1194, 733, 691, 6941, 4144, 1602, 16024, 266, 1013, 274, 1051, 11218, 1491, 340, 8715, 2999, 2770, 2634, 9222, 2776, 1431, 2899, 7498, 2166, 12486, 9760, 6684, 2416, 1015, 620, 445, 14, 790, 521, 975, 12486, 368, 458, 448, 7284, 665, 3945, 436, 2435, 703, 2362, 849, 16, 450, 75, 4186, 20762, 87, 15522, 5553, 860, 620, 377, 582, 450, 972, 691, 846, 860, 620, 640, 615, 782, 33, 18238, 12181, 8931, 7793, 3593, 2636, 572, 1639, 14, 1618, 2602, 26, 263, 1141, 6745, 2575, 1856, 10260, 27, 11150, 3964, 5071, 691, 13403, 3859, 515, 5731, 377, 370, 2315, 734, 3538, 5577, 14, 2649, 1391, 2572, 265, 1606, 14, 1065, 670, 1563, 2625, 551, 1525, 3056, 1458, 16, 2012, 2103, 1091, 4602, 3917, 15383, 3367, 5389, 2990, 873, 2073, 3756, 14, 11603, 2112, 12181, 4127, 582, 28, 1592, 733, 766, 1140, 4214, 551, 4575, 3212, 2480, 4214, 352, 1944, 1868, 2136, 16024, 6848, 1376, 4193, 263, 604, 1814, 2012, 2103, 1091, 1376, 1447, 12416, 3056, 733, 897, 640, 620, 14, 6852, 92, 21950, 352, 3437, 74, 506, 6331, 290, 2262, 4193, 276, 78, 86, 9449, 23, 12119, 397, 7261, 5033, 8986, 16072, 572, 637, 3104, 2416, 1015, 352, 382, 964, 3310, 529, 397, 1280, 1201, 16024, 287, 765, 1832, 1821, 296, 11083, 5782, 685, 290, 2262, 263, 654, 12472, 15798, 3551, 685, 10360, 271, 13283, 6848, 1814, 2103, 1091, 6673, 1798, 2994, 1774, 734, 1308, 2052, 450, 724, 901, 2284, 2075, 946, 2139, 305, 6526, 483, 528, 7552, 397, 3447, 1320, 3370, 564, 22469, 13703, 5575, 2514, 5059, 3459, 10023, 1153, 14, 266, 471, 2636, 572, 1902, 4713, 5051, 4301, 14, 2334, 2620, 2429, 3009, 5537, 620, 2494, 490, 894, 87, 16880, 276, 261, 16519, 10514, 5613, 1814, 5072, 2416, 1015, 7120, 21327, 506, 3437, 967, 92, 967, 285, 1532, 15420, 2991, 397, 1525, 16, 290, 2262, 262, 78, 1921, 271, 13283, 3837, 685, 519, 3637, 81, 582, 28, 1592, 6571, 14344, 2303, 564, 1157, 5541, 489, 1834, 15583, 856, 1068, 3171, 14, 660, 5943, 18608, 3917, 411, 85, 978, 1905, 12037, 1140, 418, 6815, 1303, 370, 397, 2315, 11904, 3540, 14, 3986, 91, 23161, 740, 436, 33, 15522, 340, 17221, 3514, 20838, 15423, 2073, 1254, 370, 479, 3756, 768, 903, 2225, 703, 6537, 3932, 1831, 1182, 7889, 14, 1182, 7889, 640, 720, 2186, 728, 2405, 3177, 16024, 6848, 1483, 2005, 740, 1783, 2533, 2334, 2620, 2429, 5537, 620, 3837, 685, 519, 3637, 81, 4462, 2166, 5587, 4780, 1726, 1239, 16188, 1783, 10669, 1312, 7020, 414, 450, 397, 5770, 2036, 368, 16836, 3405, 1448, 2858, 946, 479, 5943, 1005, 761, 454, 906, 14397, 1563, 572, 352, 11974, 665, 695, 3289, 5179, 368, 3084, 1602, 3639, 2712, 1919, 490, 14, 4612, 337, 1405, 15619, 3769, 1685, 11218, 1491, 290, 2262, 5377, 6282, 5067, 6941, 368, 3837, 685, 519, 3637, 81, 1847, 1153, 940, 454, 3045, 2158, 20896, 3217, 271, 25, 3356, 1842, 941, 489, 7559, 15112, 4618, 740, 436, 2625, 2729, 8598, 551, 2085, 340, 468, 11218, 1491, 271, 13283, 4186, 302, 1797, 9533, 15256, 80, 15732, 2073, 1254, 370, 479, 3756, 768, 903, 2225, 703, 6537, 3932, 1831, 1182, 7889, 14, 1182, 7889, 640, 720, 2186, 728, 2405, 3177, 16, 1682, 340, 17221, 5071, 370, 479, 900, 768, 458, 500, 342, 397, 692, 4220, 790, 450, 397, 1154, 2129, 33, 1162, 424, 1491, 757, 1510, 9119, 6725, 4781, 2991, 1525, 589, 14, 274, 20975, 1210, 3757, 702, 1376, 5377, 9327, 3746, 13657, 4471, 8673, 19890, 740, 436, 2139, 4083, 720, 1270, 1460, 6869, 5520, 9700, 5058, 16, 6848, 285, 566, 358, 414, 4829, 10361, 1520, 2723, 368, 4231, 436, 1512, 940, 740, 4584, 1239, 2416, 1015, 534, 14, 1800, 6848, 2532, 285, 566, 985, 75, 978, 414, 290, 2262, 76, 11218, 1491, 266, 5445, 1168, 17446, 2235, 3370, 22235, 4460, 665, 1834, 87, 6852, 352, 6918, 418, 1689, 1491, 795, 3171, 14, 521, 436, 766, 7930, 1015, 6655, 19792, 9087, 16, 6848, 2575, 1856, 4715, 685, 9295, 5189, 436, 3352, 766, 551, 454, 1602, 2024, 2756, 1659, 2514, 2605, 615, 1287, 1964, 436, 2435, 703, 16024, 4193, 5943, 12642, 263, 3663, 1146, 2219, 418, 2901, 4293, 766, 571, 635, 551, 782, 665, 1613, 3671, 2805, 33, 2899, 589, 342, 2653, 489, 436, 1842, 941, 490, 33, 4186, 6848, 2575, 1856, 285, 5826, 69, 5071, 691, 500, 370, 397, 5962, 1391, 2069, 5615, 482, 932, 14, 3757, 702, 3769, 1685, 1682, 775, 240, 79, 2277, 3104, 5071, 4662, 3742, 6132, 2284, 2075, 3573, 1788, 368, 14519, 414, 23774, 13871, 6848, 10950, 16519, 2899, 397, 17454, 1773, 2136, 377, 479, 6498, 6310, 16024, 3037, 263, 300, 1821, 5604, 287, 8684, 2620, 309, 6794, 479, 551, 1525, 3056, 1403, 14, 6768, 7946, 370, 479, 1305, 798, 2088, 3224, 1154, 479, 368, 1312, 298, 4120, 290, 2262, 4715, 685, 11218, 1491, 16647, 2073, 370, 646, 728, 1745, 2071, 2026, 397, 436, 352, 6453, 12701, 14, 274, 3417, 285, 3217, 6848, 12472, 15798, 873, 2899, 6558, 5173, 352, 795, 1491, 1021, 1976, 90, 835, 766, 1382, 1105, 2328, 16, 3786, 3757, 702, 1510, 3893, 5731, 2209, 740, 436, 733, 342, 397, 2589, 2209, 9250, 377, 3827, 234, 1713, 1400, 2203, 551, 2085, 1039, 2630, 2136, 14, 262, 1077, 2546, 414, 3596, 6848, 2012, 867, 4716, 75, 5553, 860, 532, 377, 946, 768, 529, 409, 370, 4208, 571 ]
[ 1, 22494, 1682, 411, 2003, 7776, 1448, 1447, 5828, 397, 290, 298, 11118, 14, 388, 2431, 1797, 81, 23203, 3417, 75, 342, 397, 454, 521, 436, 1071, 4026, 2448, 3074, 2248, 862, 285, 309, 3425, 2007, 1431, 352, 7559, 453, 1310, 1964, 10323, 6989, 637, 16402, 1166, 10246, 15583, 1308, 567, 1108, 1563, 14, 3757, 702, 1199, 415, 2202, 1682, 632, 2012, 5071, 691, 768, 10669, 87, 6852, 546, 2660, 640, 352, 615, 397, 3682, 786, 551, 3812, 1015, 368, 2085, 1039, 3437, 483, 441, 418, 10142, 9674, 2091, 1642, 271, 13283, 2565, 1659, 740, 340, 69, 23600, 2592, 740, 1154, 479, 1119, 370, 479, 4769, 6227, 1755, 482, 6059, 8784, 287, 5408, 3452, 917, 86, 3559, 268, 597, 1239, 2717, 10142, 9674, 2091, 1642, 271, 13283, 5071, 691, 768, 1838, 656, 409, 13875, 458, 1091, 14, 409, 1305, 798, 482, 397, 8554, 965, 1559, 340, 17221, 4637, 654, 3045, 2158, 370, 397, 1362, 365, 3380, 2787, 3237, 8058, 1788, 14, 4635, 287, 309, 1735, 511, 2477, 285, 309, 3209, 982, 1015, 620, 445, 342, 521, 7228, 4459, 352, 358, 2344, 4459, 263, 10666, 339, 1048, 2086, 4311, 482, 1037, 1391, 620, 445, 16, 411, 12463, 86, 4602, 7669, 1988, 1230, 5071, 691, 768, 733, 979, 397, 3230, 397, 4430, 342, 1902, 1987, 14, 1440, 897, 6310, 302, 1870, 2927, 1563, 490, 33, 14, 2575, 1856, 4715, 685, 299, 82, 77, 6848, 1814, 2012, 1376, 4189, 285, 4080, 5828, 2743, 4197, 4291, 368, 4761, 2085, 14, 10669, 503, 4461, 414, 377, 1305, 798, 1316, 1642, 4421, 2328, 16, 2012, 2103, 1091, 10170, 4647, 2073, 691, 1154, 479, 3278, 748, 6237, 1774, 724, 3180, 888, 6513, 5294, 1210, 3443, 14, 946, 2514, 263, 84, 25, 6733, 702, 1905, 2804, 1477, 922, 377, 837, 1383, 615, 1316, 1642, 1756, 1194, 422, 1870, 734, 2196, 953, 646, 3132, 3113, 368, 1298, 436, 1556, 6848, 3757, 702, 2409, 1556, 6918, 1689, 3171, 90, 3171, 14, 436, 1269, 1327, 2775, 2324, 14, 1507, 454, 1563, 368, 427, 4510, 835, 14, 296, 11083, 262, 1589, 82, 20896, 1361, 2203, 5377, 340, 3641, 20924, 262, 69, 73, 10591, 479, 1316, 3756, 720, 16178, 640, 1541, 397, 2116, 13271, 2787, 4298, 16, 2532, 285, 566, 411, 2262, 411, 597, 1592, 448, 20025, 1563, 572, 352, 4462, 450, 534, 397, 2868, 3839, 1199, 14, 299, 441, 616, 285, 309, 290, 1145, 15802, 302, 878, 6171, 16825, 3278, 1182, 14, 2742, 1042, 4087, 2036, 766, 1737, 4376, 1308, 2071, 2856, 352, 6408, 3659, 411, 2003, 7776, 1308, 1563, 17740, 370, 1522, 1842, 941, 1774, 352, 901, 2565, 1199, 7046, 1015, 534, 16024, 17284, 1446, 1141, 276, 862, 1141, 2089, 287, 3964, 309, 24, 2935, 2202, 1682, 3757, 702, 12250, 17064, 2807, 1871, 352, 4647, 14, 9353, 13468, 1755, 1675, 14, 409, 377, 691, 803, 448, 3065, 551, 782, 1210, 2381, 16, 24217, 1005, 276, 78, 86, 77, 271, 13283, 7385, 1509, 920, 342, 2054, 1170, 2469, 14, 409, 1079, 1257, 691, 768, 1021, 414, 1021, 414, 377, 370, 11852, 10323, 14, 2640, 377, 442, 16024, 4379, 4239, 4186, 285, 566, 985, 75, 978, 414, 14397, 1563, 572, 19266, 13011, 567, 1108, 28, 12083, 490, 2593, 734, 1599, 529, 409, 615, 932, 33, 1832, 15528, 2776, 1856, 18, 3193, 3165, 14027, 2397, 296, 1572, 620, 649, 2300, 5625, 1037, 5872, 4218, 632, 2416, 1037, 368, 6852, 92, 21950, 14, 274, 6072, 948, 285, 309, 920, 1682, 21285, 11951, 1592, 377, 479, 1645, 846, 860, 409, 640, 1866, 3395, 482, 932, 287, 83, 90, 24650, 68, 2655, 261, 468, 1312, 75, 1689, 1491, 13871, 551, 2397, 620, 7605, 2235, 13560, 358, 3120, 19194, 19194, 2927, 1563, 766, 4663, 1964, 4101, 3338, 368, 821, 16, 6848, 2012, 21285, 977, 15522, 10142, 9674, 2091, 1642, 271, 13283, 17269, 6292, 6927, 2073, 1254, 370, 479, 900, 768, 2515, 2075, 4266, 6310, 2630, 2136, 368, 18238, 3718, 7946, 1269, 3065, 1639, 2111, 1915, 2388, 368, 534, 920, 3757, 223, 6112, 442, 797, 3593, 624, 580, 1317, 450, 397, 11191, 79, 955, 14, 2190, 1317, 450, 397, 4607, 1448, 14, 352, 567, 1447, 1783, 342, 1210, 3443, 33, 14, 285, 3074, 5031, 5434, 340, 17221, 21146, 266, 19126, 223, 2548, 12535, 285, 1127, 2343, 1477, 445, 2925, 3020, 1563, 572, 14, 5273, 10369, 19769, 14226, 5962, 1391, 503, 330, 18207, 19310, 16, 2158, 1230, 370, 3452, 734, 7385, 646, 19720, 9919, 368, 1458, 14, 15271, 2136, 740, 436, 1458, 18156, 572, 3966, 3310, 2367, 1613, 2367, 2283, 15141, 16024, 1682, 4239, 411, 722, 14472, 2380, 2050, 571, 2460, 1261, 10142, 9674, 2091, 1642, 271, 13283, 1477, 445, 13560, 13560, 1574, 28, 9150, 4524, 635, 766, 2118, 572, 932, 14, 436, 2435, 703, 2802, 951, 3602, 342, 1254, 932, 33, 1477, 445, 833, 2405, 409, 4193, 5943, 454, 290, 87, 6212, 592, 79, 1230, 1930, 1018, 4087, 2409, 740, 436, 4697, 572, 1037, 1391, 2214, 18207, 482, 3414, 14, 2575, 1856, 358, 2877, 3099, 18356, 566, 1618, 6402, 1754, 82, 10669, 503, 4461, 414, 14, 436, 6640, 5055, 454, 9186, 5559, 352, 5508, 1649, 2575, 1856, 18556, 985, 75, 978, 414, 1905, 2804, 2073, 3756, 14, 1838, 1015, 656, 2052, 2927, 1563, 821, 2362, 4576, 1091, 14, 397, 2166, 1021, 8503, 85, 15, 22909, 2058, 2787, 3602, 3856, 1257, 4503, 640, 1037, 1391, 821, 16024, 4622, 6466, 566, 15644, 521, 6848, 1814, 2012, 1376, 4189, 9327, 3746, 761, 2073, 1254, 370, 479, 3756, 768, 903, 2225, 703, 6537, 3932, 1831, 1182, 7889, 14, 1182, 7889, 640, 720, 2186, 728, 2405, 3177, 16, 1814, 2012, 2103, 1091, 4293, 766, 571, 635, 551, 782, 665, 1613, 3671, 2805, 33, 2899, 589, 342, 2653, 489, 436, 1842, 941, 490, 33, 14, 302, 1797, 9533, 11218, 1491, 340, 8715, 2925, 985, 418, 9175, 4186, 5071, 691, 768, 6537, 1166, 418, 15144, 14, 436, 551, 1525, 3056, 620, 14, 3856, 1257, 582, 28, 2161, 2012, 15522, 1477, 445, 2925, 3020, 1563, 572, 14, 5273, 10369, 19769, 14226, 5962, 1391, 503, 330, 18207, 19310, 16024, 7168, 22129, 1084, 790, 5363, 6848, 4612, 337, 1405, 6496, 5071, 370, 479, 2227, 3037, 1397, 3167, 33, 3895, 377, 370, 1447, 820, 342, 377, 1397, 2429, 867, 4539, 436, 14373, 414, 15252 ]
[ 1, 82, 468, 11218, 1491, 4078, 1397, 5345, 1817, 2776, 4524, 635, 657, 1327, 1768, 798, 1254, 1050, 3177, 803, 2334, 2620, 2429, 1618, 6402, 1754, 82, 276, 80, 1592, 1599, 1563, 572, 14, 6164, 4776, 18770, 397, 10323, 3466, 14, 1599, 1091, 1037, 7272, 17122, 16024, 10142, 9674, 2091, 1642, 271, 13283, 1781, 1351, 3786, 6848, 24881, 1792, 1376, 4189, 5189, 5023, 703, 1345, 4184, 3405, 1448, 2258, 2416, 1015, 620, 445, 649, 1424, 3310, 16, 1682, 1483, 2005, 10919, 2533, 740, 2161, 5071, 2227, 3037, 500, 2405, 442, 503, 330, 18207, 14678, 8931, 656, 620, 445, 370, 479, 1814, 1891, 33, 14, 2575, 1856, 276, 315, 16052, 6848, 1814, 2012, 1376, 4189, 592, 86, 761, 940, 1230, 7385, 646, 19720, 9919, 368, 1458, 14, 15271, 2136, 740, 436, 1458, 18156, 572, 3966, 3310, 2367, 1613, 2367, 2283, 15141, 16, 946, 2514, 1005, 761, 632, 271, 2672, 75, 5071, 691, 768, 388, 506, 856, 3171, 1091, 1622, 657, 377, 11453, 1424, 23074, 17459, 21556, 28, 13706, 5771, 14, 4193, 5943, 4681, 74, 4208, 6848, 285, 566, 985, 75, 978, 414, 873, 3022, 2899, 397, 646, 1100, 572, 3856, 14703, 740, 5962, 1391, 368, 1522, 9745, 2036, 1525, 3056, 534, 16, 68, 956, 940, 368, 274, 381, 71, 1091, 3786, 3757, 702, 11218, 1976, 3769, 1685, 6794, 479, 482, 442, 15230, 397, 3959, 10319, 15588, 3963, 14, 4602, 7669, 1057, 5493, 1039, 2494, 285, 309, 16629, 343, 18181, 22536, 3056, 1522, 2090, 1916, 276, 1606, 5814, 2802, 951, 3602, 276, 1471, 597, 3557, 2340, 5071, 657, 691, 442, 975, 4524, 734, 448, 3174, 821, 922, 450, 620, 16, 3282, 4468, 11087, 1187, 2209, 1108, 436, 3831, 847, 695, 847, 695, 657, 972, 377, 571, 635, 567, 14, 21285, 977, 299, 82, 77, 11218, 1491, 13248, 6848, 3184, 651, 2090, 1916, 3856, 1257, 8139, 572, 637, 397, 3084, 1602, 1919, 2416, 1015, 22129, 7893, 302, 878, 290, 1145, 15802, 5439, 11318, 1358, 11909, 4989, 1431, 1364, 368, 4234, 3729, 3525, 1724, 14, 4193, 5943, 1856, 82, 293, 998, 299, 71, 2602, 26, 285, 309, 5828, 397, 290, 298, 11118, 14, 388, 2431, 1797, 81, 23203, 3417, 75, 342, 397, 454, 521, 436, 1071, 4026, 1821, 69, 88, 315, 847, 1952, 5071, 691, 768, 10669, 87, 6852, 546, 2660, 640, 352, 615, 397, 3682, 786, 551, 3812, 1015, 368, 2085, 1039, 3437, 483, 441, 418, 14, 1520, 1300, 10142, 9674, 276, 78, 86, 12243, 3786, 11218, 1841, 298, 5071, 4662, 3742, 6132, 2284, 2075, 3573, 1788, 368, 14519, 414, 23774, 13871, 24898, 352, 274, 5908, 1077, 8195, 3112, 720, 2632, 3289, 740, 1154, 479, 442, 21252, 4238, 397, 920, 2086, 1387, 14, 411, 345, 592, 79, 1230, 4635, 287, 83, 3080, 821, 2593, 2416, 1015, 1211, 5176, 6094, 8246, 1563, 975, 1091, 450, 75, 6848, 985, 75, 978, 414, 296, 11083, 5782, 685, 8317, 489, 415, 941, 1140, 941, 1774, 1769, 728, 14, 8705, 436, 368, 821, 922, 3447, 2962, 411, 745, 79, 14, 920, 13248, 1447, 6848, 276, 78, 86, 77, 271, 13283, 2334, 2620, 2429, 3099, 1671, 1618, 6402, 1754, 82, 1057, 873, 5071, 370, 479, 691, 768, 1166, 685, 21327, 506, 11409, 483, 377, 479, 1100, 6852, 92, 21950, 342, 5211, 368, 803, 33, 15200, 223, 1084, 333, 6496, 2073, 1254, 370, 479, 3756, 768, 903, 2225, 703, 6537, 3932, 1831, 1182, 7889, 14, 1182, 7889, 640, 720, 2186, 728, 2405, 3177, 16024, 271, 4461, 1797, 81, 1618, 8014, 358, 16387, 4382, 302, 3407, 325, 418, 23511, 276, 1471, 10047, 8607, 519, 566, 1312, 1491, 11811, 1424, 24400, 3437, 967, 83, 75, 87, 489, 2649, 11008, 17377, 28, 411, 85, 68, 279, 5071, 691, 821, 922, 370, 6045, 489, 724, 409, 377, 14, 22817, 18238, 702, 87, 910, 2749, 582, 15252, 340, 17221, 280, 9176, 266, 10909, 68, 309, 263, 1141, 6745, 13706, 5843, 276, 10666, 1919, 1525, 3056, 821, 1483, 1983, 21338, 665, 2729, 821, 2532, 285, 566, 1365, 75, 978, 414, 760, 483, 1219, 9172, 90, 1491, 1424, 6537, 1166, 418, 15144, 397, 920, 11670, 10694, 16024, 946, 1005, 1944, 12892, 3679, 1839, 2075, 3757, 702, 1477, 2464, 368, 529, 445, 10874, 1091, 397, 803, 342, 724, 4524, 1817, 635, 932, 285, 309, 22468, 1162, 424, 1491, 14, 436, 766, 551, 3812, 1015, 489, 1522, 724, 3700, 1199, 1157, 1391, 489, 1403, 14, 3856, 1257, 1801, 7930, 4827, 16024, 290, 2262, 4715, 685, 271, 13283, 274, 4012, 4700, 85, 3757, 702, 2540, 6937, 5400, 660, 734, 397, 436, 2435, 703, 1431, 1199, 352, 1849, 4450, 370, 479, 2300, 5625, 1037, 397, 821, 2007, 1919, 18790, 287, 5408, 18873, 79, 308, 418, 3837, 685, 519, 3637, 81, 798, 768, 5493, 436, 454, 651, 534, 377, 479, 1210, 3310, 620, 445, 442, 1201, 16024, 1892, 1608, 411, 2003, 7776, 450, 75, 5604, 69, 343, 835, 296, 685, 2026, 14397, 1563, 15256, 955, 2235, 740, 1391, 823, 4492, 2211, 18207, 2625, 4133, 14951, 757, 3997, 3812, 10966, 16, 450, 75, 285, 566, 4715, 685, 274, 685, 7174, 685, 3917, 296, 11083, 5782, 685, 7174, 685, 3657, 3786, 1682, 2012, 2103, 1091, 9265, 7261, 436, 1312, 21501, 5673, 2416, 1015, 620, 445, 448, 1287, 6983, 397, 651, 6848, 2012, 16519, 9048, 1839, 3786, 2103, 1091, 4602, 3917, 3557, 2340, 7385, 4761, 436, 2435, 703, 4274, 8298, 3966, 3310, 620, 445, 302, 1127, 3379, 1141, 6745, 5653, 1977, 3931, 2373, 1316, 1049, 1254, 370, 5931, 1705, 985, 5931, 9439, 14, 2660, 978, 411, 85, 271, 80, 8661, 2602, 6848, 5071, 691, 442, 1550, 370, 1316, 1642, 692, 738, 1182, 2303, 734, 368, 1724, 461, 1085, 4133, 454, 509, 377, 6848, 1376, 4189, 6163, 16519, 4588, 436, 370, 2042, 1434, 1431, 748, 370, 479, 370, 397, 2190, 1839, 2075, 489, 534, 14, 3838, 1622, 82, 262, 19098, 24881, 1792, 1905, 2804, 1376, 4189, 17446, 3045, 734, 1231, 804, 1522, 436, 14, 409, 1036, 1255, 450, 1255, 615, 2085, 786, 1065, 3757, 702, 4715, 685, 9295, 337, 70, 3193, 635, 14, 860, 377, 564, 620, 922, 1601, 821, 922, 342, 655, 10340, 14, 2380, 2050, 1682, 276, 78, 86, 77, 511, 2999, 2770, 296, 11083, 3462, 5727, 370, 397, 5290, 11852, 10323, 3466, 352, 4647, 6498, 450, 409 ]
[ 1, 86, 4066, 2770, 287, 5408, 2634, 15646, 2158, 1230, 13883, 4629, 564, 3742, 397, 651, 436, 1071, 4026, 3459, 1287, 757, 1618, 85, 3295, 2161, 5071, 2227, 3037, 500, 2405, 442, 503, 330, 18207, 14678, 8931, 656, 620, 445, 370, 479, 1814, 1891, 33, 14, 3786, 3769, 12485, 15522, 20896, 70, 2262, 78, 1291, 3679, 19477, 3338, 532, 2802, 377, 761, 1576, 589, 2991, 1388, 16, 290, 2262, 13760, 2532, 3525, 1146, 83, 3393, 4459, 3370, 14, 1400, 4006, 370, 521, 436, 6733, 266, 1013, 572, 665, 4459, 16024, 11218, 1841, 298, 4720, 4622, 285, 566, 16052, 5071, 691, 768, 3437, 74, 483, 6275, 82, 483, 582, 28, 5024, 1424, 665, 8444, 368, 795, 560, 15819, 3837, 506, 5034, 87, 14, 370, 3795, 436, 3352, 9295, 1377, 411, 2003, 7776, 302, 597, 312, 463, 18141, 6918, 1689, 3171, 90, 3171, 14, 436, 1269, 1327, 2775, 2324, 14, 1507, 454, 1563, 368, 427, 4510, 835, 14, 6848, 3378, 263, 1469, 262, 3200, 702, 15522, 3338, 2429, 3009, 5537, 620, 6496, 3837, 685, 519, 3637, 81, 691, 768, 2515, 1270, 2630, 2136, 4266, 368, 620, 445, 6191, 2373, 1834, 71, 8621, 72, 418, 16, 24881, 1792, 340, 862, 4667, 9265, 7261, 436, 1312, 21501, 5673, 2416, 1015, 620, 445, 448, 1287, 6983, 397, 651, 14, 285, 309, 266, 12573, 223, 3487, 3786, 2202, 1682, 1814, 2012, 14397, 1563, 572, 352, 4663, 1964, 3795, 7559, 4082, 1534, 448, 5814, 21770, 490, 2334, 2620, 2429, 3099, 1671, 1618, 6402, 1754, 82, 3624, 3917, 9222, 17096, 7464, 7046, 1015, 534, 482, 397, 3045, 2776, 14, 9515, 2678, 23, 68, 309, 6848, 1814, 2012, 2756, 4492, 2211, 15038, 4241, 649, 720, 1814, 6926, 551, 2416, 1015, 1424, 798, 975, 490, 14, 1198, 7546, 3639, 2712, 377, 1182, 16, 290, 2262, 263, 2675, 11218, 1491, 276, 78, 86, 77, 271, 13283, 3184, 821, 2066, 1525, 3056, 3856, 1257, 733, 665, 4584, 1239, 1783, 2036, 551, 1781, 1383, 5069, 1245, 14, 6848, 411, 2003, 7776, 4881, 1447, 1814, 2012, 18082, 1448, 1447, 1312, 75, 1689, 1491, 13871, 551, 2397, 620, 7605, 2235, 13560, 358, 3120, 19194, 19194, 2927, 1563, 766, 4663, 1964, 4101, 3338, 368, 821, 16, 4086, 1869, 6848, 1814, 2012, 775, 240, 79, 9265, 7261, 436, 1312, 21501, 5673, 2416, 1015, 620, 445, 448, 1287, 6983, 397, 651, 14, 2380, 2050, 1682, 10142, 9674, 271, 13283, 263, 878, 981, 18552, 4512, 2448, 623, 7316, 5071, 691, 768, 3437, 74, 483, 6275, 82, 483, 582, 28, 5024, 1424, 665, 8444, 368, 795, 560, 15819, 3837, 506, 5034, 87, 14, 370, 3795, 436, 3352, 9295, 1377, 2334, 2620, 2429, 1618, 6402, 1754, 82, 847, 1372, 363, 616, 299, 3425, 2007, 1525, 3056, 377, 1902, 3809, 934, 2252, 450, 1211, 2317, 1634, 632, 1769, 4394, 4256, 1705, 368, 903, 2225, 803, 14, 20896, 70, 862, 87, 274, 4420, 4715, 685, 78, 685, 9642, 5127, 597, 20801, 7867, 5071, 691, 768, 436, 2435, 703, 509, 2575, 757, 766, 1866, 3395, 785, 1319, 567, 415, 5770, 2036, 368, 4184, 2707, 1448, 2258, 665, 285, 85, 73, 6848, 285, 566, 985, 75, 978, 414, 19044, 3639, 2001, 1724, 646, 442, 1869, 1039, 352, 370, 7194, 482, 8626, 2435, 6104, 33, 14, 4193, 5943, 1165, 1858, 4681, 74, 15548, 3466, 4193, 5943, 15010, 1303, 1015, 490, 14, 1868, 572, 1722, 1185, 377, 589, 482, 932, 287, 765, 1832, 1821, 296, 11083, 5782, 685, 5604, 1821, 1563, 3695, 3184, 1349, 2066, 1525, 3056, 11165, 10874, 1091, 2807, 9919, 5907, 280, 2611, 85, 15056, 285, 309, 274, 3417, 2620, 2429, 6322, 1036, 566, 1618, 6402, 1754, 82, 847, 1372, 4644, 302, 2073, 1254, 564, 640, 397, 10930, 3596, 4298, 4249, 4133, 1015, 5575, 5917, 16, 271, 4461, 1797, 81, 13088, 3862, 1444, 3356, 2435, 703, 489, 521, 5931, 3713, 337, 10666, 3370, 740, 436, 5272, 7840, 2636, 572, 1902, 6584, 352, 11615, 262, 14832, 2448, 10738, 68, 3246, 2448, 11949, 276, 26, 82, 17221, 3769, 1685, 2073, 1254, 370, 479, 3756, 768, 903, 2225, 703, 6537, 3932, 1831, 1182, 7889, 14, 1182, 7889, 640, 720, 2186, 728, 2405, 3177, 16, 1833, 953, 1814, 2012, 15522, 2073, 1254, 370, 479, 900, 768, 3666, 1834, 418, 79, 3171, 14, 436, 2625, 757, 6631, 6430, 86, 414, 14, 3757, 702, 2409, 1556, 2161, 1682, 2202, 1682, 2103, 1091, 4602, 3917, 3437, 17589, 427, 2995, 91, 506, 14, 436, 766, 551, 454, 1622, 5843, 14, 3856, 1257, 7120, 572, 397, 724, 8298, 1843, 16, 411, 2003, 7776, 2108, 370, 720, 82, 377, 5828, 436, 2625, 757, 14, 409, 377, 900, 615, 738, 571, 660, 734, 564, 4576, 1431, 2111, 1849, 368, 4775, 6927, 16024, 285, 309, 10154, 4366, 13248, 1447, 9048, 894, 87, 16880, 276, 261, 6956, 20908, 4634, 1199, 761, 368, 3525, 1724, 1834, 15583, 12807, 342, 1326, 2090, 1312, 75, 10631, 2995, 86, 3171, 352, 1434, 4087, 4839, 1431, 3367, 370, 397, 377, 1108, 16, 411, 85, 271, 68, 262, 23, 5071, 2227, 3037, 500, 2405, 442, 503, 330, 18207, 14678, 8931, 656, 620, 445, 370, 479, 1814, 1891, 33, 14, 13248, 1447, 3838, 3838, 2334, 2620, 2429, 965, 285, 670, 5828, 397, 436, 1798, 14, 528, 1469, 1166, 10254, 685, 3856, 1257, 1305, 798, 768, 534, 448, 720, 2781, 4479, 454, 2566, 16, 1544, 695, 2448, 8116, 8280, 16366, 285, 309, 16629, 3837, 685, 519, 3637, 81, 1305, 798, 3447, 1642, 3902, 28, 8673, 856, 1068, 3171, 490, 377, 370, 1316, 1713, 489, 620, 14, 2448, 91, 27, 11824, 1682, 2103, 1477, 445, 13560, 13560, 1574, 28, 9150, 4524, 635, 766, 2118, 572, 932, 14, 436, 2435, 703, 2802, 951, 3602, 342, 1254, 932, 33, 1477, 445, 833, 2405, 409, 6848, 285, 566, 24881, 1792, 5828, 397, 436, 3352, 14, 1458, 571, 860, 370, 479, 377, 1866, 3395, 1675, 2111, 479, 940, 4181, 436, 766, 2625, 2416, 1037, 1659, 2514, 6094, 4663, 15726, 4218, 632, 2416, 4181, 436, 6954, 3142, 4471, 16024, 4186, 2575, 1856, 4193, 1431, 15596, 654, 17706, 24881, 1792, 3356, 2416, 1015, 582, 28, 1592, 377, 2405, 1689, 1145, 685, 856, 75, 670, 87, 946, 4624, 1944, 12892, 1988, 1230, 10669, 503, 4461, 414, 14, 436, 6640, 5055, 454, 9186, 5559, 352, 5508, 1649, 14, 14344 ]
[ 1, 13430, 3964, 1618, 85, 3295, 5071, 691, 768, 1834, 2548, 75, 506, 3856, 1257, 4663, 1964, 6991, 1563, 3338, 368, 821, 14, 274, 1635, 19909, 582, 28, 812, 2104, 2300, 482, 660, 490, 897, 1327, 2183, 1692, 946, 1140, 69, 3009, 5537, 620, 3356, 2009, 733, 397, 2315, 649, 370, 479, 23836, 1944, 442, 1458, 342, 5720, 941, 10669, 2548, 75, 352, 11539, 2036, 1312, 4614, 503, 1491, 14, 897, 2300, 635, 1201, 33, 14, 13248, 5377, 11218, 1491, 16647, 271, 957, 4239, 3757, 702, 21146, 18141, 5250, 656, 14445, 5754, 3370, 2190, 1280, 14, 1940, 1053, 409, 649, 1713, 4889, 640, 16, 290, 2262, 4715, 685, 276, 483, 12472, 15798, 3551, 685, 10360, 271, 13283, 5071, 3756, 370, 436, 3856, 14703, 17990, 1091, 1037, 4828, 757, 1622, 16024, 411, 12463, 86, 1988, 1230, 4602, 3917, 2844, 1938, 1239, 1652, 10076, 1005, 761, 5727, 370, 397, 5290, 11852, 10323, 3466, 352, 4647, 6498, 450, 409, 4622, 1108, 445, 69, 299, 82, 77, 20838, 15423, 14397, 1563, 7743, 80, 5055, 5067, 13242, 1015, 4186, 14, 564, 4238, 5962, 1391, 8058, 262, 826, 352, 1305, 934, 16024, 901, 1814, 2012, 18082, 946, 1140, 69, 4193, 5943, 271, 4970, 293, 998, 1189, 566, 12037, 620, 3193, 3165, 14027, 2397, 296, 1572, 620, 649, 2300, 5625, 1037, 5872, 4218, 632, 2416, 1037, 368, 6852, 92, 21950, 411, 85, 3038, 75, 528, 780, 3657, 1170, 1322, 377, 370, 646, 2054, 1502, 368, 436, 370, 10142, 5645, 3966, 3310, 16024, 1431, 1839, 1556, 12789, 87, 2827, 1042, 965, 5071, 1634, 632, 3795, 2186, 1773, 888, 500, 377, 1182, 4622, 285, 566, 15522, 13883, 4629, 564, 3742, 397, 651, 436, 1071, 4026, 3459, 1287, 757, 14, 445, 2188, 597, 1168, 670, 68, 566, 4715, 685, 274, 685, 79, 8684, 15429, 2334, 965, 3099, 1671, 1618, 6402, 1754, 82, 847, 1372, 368, 18608, 3917, 5173, 1534, 454, 1154, 479, 377, 5007, 1448, 14217, 821, 14, 5575, 3098, 1316, 1400, 14, 821, 377, 897, 2315, 2111, 1534, 734, 16, 6848, 2660, 337, 1405, 9327, 3746, 6496, 5071, 657, 691, 442, 975, 4524, 734, 448, 3174, 821, 922, 450, 620, 16, 3282, 4468, 11087, 1187, 2209, 1108, 436, 3831, 847, 695, 847, 695, 657, 972, 377, 571, 635, 567, 14, 263, 1141, 6745, 4720, 1839, 4775, 263, 1141, 2347, 1141, 14397, 1563, 572, 352, 1964, 521, 635, 1349, 2066, 450, 665, 5999, 368, 821, 922, 1057, 5493, 1039, 2494, 4588, 2091, 3522, 14, 946, 8454, 14, 1523, 8454, 1520, 14, 1148, 1742, 734, 14, 640, 2367, 377, 479, 946, 442, 638, 12890, 370, 445, 1005, 342, 1157, 1637, 2069, 946, 6455, 368, 1440, 11, 638, 49, 88, 49, 2729, 804, 2646, 10142, 9674, 2091, 1642, 3459, 572, 2235, 4186, 302, 597, 981, 4080, 5071, 691, 768, 22486, 1834, 1491, 448, 6183, 5515, 1015, 656, 1634, 814, 490, 28, 1592, 2362, 1005, 1306, 3135, 16, 285, 2602, 26, 285, 309, 14397, 1563, 13560, 13560, 8055, 1964, 1458, 14126, 6655, 14, 3618, 1458, 14126, 6655, 8055, 615, 16024, 285, 69, 23, 85, 6848, 2575, 1856, 21451, 1592, 448, 20025, 1563, 572, 352, 4462, 450, 534, 397, 2868, 3839, 1199, 6848, 363, 418, 985, 75, 978, 414, 1477, 15509, 6852, 92, 21950, 352, 1834, 75, 1689, 4614, 461, 7883, 835, 342, 1254, 657, 1181, 1801, 1403, 14, 3325, 1035, 1210, 1314, 20869, 2653, 4756, 33, 14, 479, 5943, 276, 1682, 266, 1013, 482, 734, 6019, 368, 503, 9172, 1312, 835, 76, 1797, 6799, 4827, 1424, 6537, 1166, 418, 15144, 3757, 702, 18050, 1351, 15522, 7567, 5071, 691, 442, 768, 975, 13625, 13213, 490, 377, 11673, 14, 3490, 8069, 448, 2381, 657, 377, 798, 4311, 1053, 16024, 302, 3407, 325, 418, 23511, 276, 1471, 10047, 8607, 2532, 340, 17221, 5828, 1839, 3705, 368, 2674, 6705, 5843, 14, 1219, 1363, 3398, 566, 3211, 706, 897, 4591, 748, 263, 878, 981, 18552, 4512, 274, 3327, 3074, 17764, 6815, 1303, 370, 397, 2315, 11904, 3540, 14, 3986, 91, 23161, 740, 436, 33, 2429, 1510, 5629, 263, 1141, 6745, 13088, 298, 873, 3022, 795, 614, 482, 3509, 5931, 368, 2480, 3466, 454, 1154, 479, 448, 720, 18388, 1980, 11673, 1649, 16, 287, 83, 3038, 285, 14039, 4588, 2091, 3522, 14, 946, 8454, 14, 1523, 8454, 1520, 14, 1148, 1742, 734, 14, 640, 2367, 377, 479, 946, 442, 638, 12890, 370, 445, 1005, 342, 1157, 1637, 2069, 946, 6455, 368, 1440, 11, 638, 49, 88, 49, 2729, 804, 2646, 263, 72, 19644, 11150, 3964, 920, 571, 2012, 4239, 411, 722, 14472, 3837, 685, 519, 3637, 3273, 483, 28, 1930, 71, 795, 7311, 9055, 368, 1834, 15583, 856, 1068, 3171, 14759, 648, 1451, 352, 3639, 4266, 3514, 4657, 2575, 1856, 5071, 691, 442, 1550, 19792, 9087, 370, 691, 655, 315, 67, 766, 551, 454, 11781, 2661, 1170, 6869, 377, 14, 12472, 15798, 2091, 1642, 873, 6848, 985, 75, 5250, 656, 607, 3370, 665, 454, 14, 370, 397, 1671, 377, 691, 1358, 1391, 1320, 368, 643, 773, 8931, 8931, 16, 411, 24650, 68, 86, 24, 1312, 75, 1166, 6486, 566, 14, 436, 766, 2802, 1358, 951, 4214, 10153, 1308, 3593, 4298, 14, 1599, 1563, 632, 2416, 821, 489, 8917, 2915, 740, 3288, 16024, 13248, 5377, 340, 546, 22859, 1618, 6402, 276, 261, 409, 833, 1682, 1814, 2012, 4492, 2211, 15038, 4241, 649, 720, 1814, 6926, 551, 2416, 1015, 1424, 798, 975, 490, 14, 1198, 7546, 3639, 2712, 377, 1182, 16, 3786, 6848, 18082, 15522, 13052, 2822, 1108, 3311, 3132, 3113, 342, 3104, 21338, 8380, 262, 2390, 352, 3104, 18435, 3466, 266, 685, 368, 4184, 2707, 1448, 2858, 14, 13248, 18742, 79, 2546, 75, 8345, 4087, 1860, 1308, 266, 12951, 6848, 2012, 920, 6843, 1592, 1327, 798, 1955, 734, 409, 582, 342, 1949, 1181, 2830, 3757, 702, 299, 1267, 7209, 3769, 1685, 16232, 1460, 15271, 4812, 1849, 4450, 748, 21252, 1153, 572, 1902, 1154, 479, 14, 3742, 4828, 1298, 692, 3544, 368, 6537, 1166, 418, 15144, 352, 1522, 436, 534, 16024, 1618, 298, 68, 309, 302, 84, 1250, 3268, 411, 85, 3038, 3837, 685, 519, 3637, 81, 28, 1592, 1183, 4266, 343, 569, 551, 856, 298, 13095, 748, 2566, 695, 1037, 1618, 4589, 90, 24881, 1792, 1592, 448, 20025, 1563, 572, 352, 4462, 450, 534 ]
[ 1, 53, 878, 318, 427, 24022, 7511, 1166, 22798, 10403, 8385, 223, 528, 10047, 1491, 14302, 8385, 8363, 1127, 1970, 15, 68, 3616, 14302, 8385, 1021, 3327, 1267, 14302, 8385, 427, 8698, 298, 1168, 8385, 223, 4637, 3796, 1491, 14302, 8385, 528, 1904, 73, 1797, 85, 14302, 8385, 570, 12940, 73, 1797, 85, 8385, 223, 427, 8698, 998, 5031, 266, 10846, 3453, 14302, 8385, 528, 1904, 73, 1797, 85, 14302, 8385, 14165, 1220, 24276, 15797, 12951, 14302, 8385, 570, 80, 315, 546, 358, 3327, 7694, 8385, 223, 4175, 79, 1797, 14522, 14302, 8385, 5564, 279, 1446, 73, 815, 14302, 14302, 223, 528, 10047, 1491, 3183, 266, 12573, 1491, 14302, 14302, 14302, 570, 12940, 14302, 14302, 14302, 519, 8116, 309, 14302, 14302, 14302, 519, 8116, 6948, 14302, 14302, 14302, 570, 1267, 2920, 815, 14302, 14302, 14302, 7451, 6772, 2089, 3183, 1933, 20184, 12940, 14302, 14302, 14302, 760, 1797, 82, 1841, 9648, 14302, 14302, 223, 15498, 3183, 343, 2395, 91, 299, 6598, 1797, 14522, 14302, 14302, 14302, 9355, 340, 2670, 1471, 85, 14302, 14302, 14302, 9355, 299, 2395, 1220, 24276, 358, 3327, 7694, 14302, 14302, 223, 6521, 11083, 8321, 8385, 223, 19176, 98, 74, 6930, 1491, 14302, 8385, 19176, 241, 84, 15732, 4512, 14302, 8385, 19176, 241, 84, 11800, 3074, 85, 14302, 8385, 11233, 9732, 286, 7876, 14302, 8385, 16791, 807, 4512, 8385, 223, 5029, 1094, 1168, 14302, 8385, 23079, 14601, 14302, 14302, 223, 528, 10047, 1491, 3183, 2448, 1077, 5175, 14302, 14302, 223, 388, 6772, 12681, 14302, 14302, 223, 13363, 88, 2248, 862, 14302, 14302, 223, 427, 8698, 998, 14302, 14302, 223, 986, 6930, 1491, 14302, 14302, 223, 6521, 11083, 8321, 14302, 8385, 10185, 3234, 85, 8385, 223, 611, 90, 815, 8385, 223, 23181, 9176, 1491, 917, 1471, 85, 8385, 223, 760, 1141, 5031, 296, 616, 79, 24276, 302, 1797, 85, 14302, 8385, 5564, 279, 1446, 73, 815, 8385, 223, 655, 2272, 1992, 24276, 14302, 8385, 528, 1904, 73, 1797, 85, 14302, 14302, 223, 528, 10047, 1491, 14302, 14302, 223, 4637, 3796, 1491, 14302, 8385, 570, 12940, 73, 1797, 85, 14302, 14302, 223, 528, 10047, 1491, 14302, 14302, 223, 4637, 3796, 1491, 14302, 8385, 760, 1141, 5564, 279, 11991, 3183, 1933, 8817, 309, 14302, 8385, 9355, 299, 340, 14993, 68, 3246, 5031, 282, 2877, 981, 3246, 14302, 14302, 223, 4175, 79, 1797, 14522, 8385, 223, 570, 10334, 862, 14302, 8385, 5564, 279, 1446, 73, 815, 8385, 223, 4637, 5756, 73, 1797, 85, 8385, 223, 22160, 1491, 8385, 223, 20640, 1792, 1491, 14737, 546, 69, 8753, 2776, 441, 5630, 8385, 223, 519, 8116, 309, 701, 2262, 85, 8385, 223, 20086, 815, 8385, 223, 16791, 807, 4512, 14302, 8385, 22460, 73, 6948, 14302, 8385, 6521, 11083, 8321, 1618, 22798, 463, 5031, 299, 6598, 1797, 14522, 14302, 8385, 519, 3246, 2670, 7893, 302, 7624, 14302, 8385, 427, 4851, 317, 1618, 22798, 10403, 14302, 8385, 11730, 2656, 14, 592, 78, 85, 9065, 14, 263, 1141, 815, 14, 285, 4289, 815, 14302, 8385, 6747, 2262, 85, 8385, 223, 4637, 4851, 340, 21470, 14302, 8385, 18003, 14302, 14302, 223, 2467, 1363, 308, 4461, 1168, 14302, 8385, 12569, 1685, 4743, 271, 10611, 7020, 85, 5031, 340, 1471, 16630, 2656, 1420, 8067, 1084, 3171, 8385, 223, 611, 1145, 2448, 8368, 86, 266, 15725, 14302, 8385, 1420, 8067, 12681, 14302, 8385, 5672, 23645, 9594, 14302, 8385, 1166, 5014, 299, 19067, 358, 9384, 2448, 20592, 14302, 8385, 795, 19189, 14302, 8385, 1347, 5555, 1679, 15429, 69, 14302, 8385, 24056, 276, 22797, 8385, 223, 17553, 6212, 2548, 9374, 8385, 223, 16483, 815, 69, 3295, 85, 8385, 223, 5457, 6212, 2548, 9374, 8385, 223, 7783, 78, 654, 73, 2656, 8385, 223, 16483, 815, 69, 3295, 815, 8385, 223, 643, 13151, 358, 506, 1491, 266, 5673, 807, 815, 8385, 223, 643, 13151, 18913, 10334, 998, 8858, 8385, 223, 24056, 276, 22797, 343, 2920, 16339, 8385, 223, 986, 8627, 862, 6686, 2045, 2656, 8385, 223, 643, 15725, 8385, 223, 5672, 70, 17284, 76, 5662, 7757, 2448, 10172, 8385, 223, 519, 3246, 2670, 1084, 263, 862, 23552, 998, 8858, 8385, 223, 1162, 4603, 685, 9732, 5031, 299, 13124, 807, 4512, 11899, 1068, 5183, 8385, 223, 1158, 378, 315, 7757, 14302, 8385, 4175, 79, 1797, 14522, 14302, 8385, 16791, 807, 4512, 8385, 223, 503, 20528, 1491, 290, 6948, 8385, 223, 701, 5015, 85, 8385, 223, 21218, 6022, 6379, 2089, 1168, 262, 6462, 12802, 9444, 8385, 223, 427, 546, 20924, 7020, 4641, 80, 10403, 15664, 12573, 8385, 223, 18997, 14302, 8385, 8854, 15, 1588, 23046, 14226, 967, 69, 7694, 14302, 8385, 701, 5015, 85, 14302, 8385, 6852, 88, 85, 14302, 8385, 611, 8712, 85, 14302, 8385, 16617, 807, 6829, 69, 7694, 14302, 8385, 519, 1084, 91, 69, 7694, 14302, 8385, 18604, 79, 2546, 20815, 14302, 8385, 16617, 807, 286, 16899, 14302, 8385, 5564, 2366, 4849, 14302, 8385, 701, 2893, 2656, 14302, 8385, 1158, 378, 315, 7757, 14302, 8385, 16617, 8858, 14302, 8385, 16791, 807, 4512, 14302, 8385, 4637, 4851, 340, 21470, 8385, 223, 6722, 14302, 8385, 11761, 1084, 3295, 9065, 14302, 8385, 6722, 82, 12430, 815, 14302, 8385, 6722, 285, 862, 2411, 10403, 14302, 8385, 5501, 2045, 78, 1446, 2656, 14302, 8385, 528, 506, 302, 78, 1446, 2656, 14302, 8385, 1162, 3698, 1491, 2776, 441, 5630, 14302, 8385, 5501, 6265, 2395, 815, 14302, 8385, 1158, 378, 315, 7757, 14302, 8385, 16617, 8858, 14302, 8385, 16791, 807, 4512, 14302, 8385, 4637, 4851, 340, 21470, 8385, 223, 1166, 10611, 14302, 8385, 3837, 14832, 14302, 14302, 223, 1834, 6265, 7876, 14302, 14302, 223, 16617, 807, 15082, 7876, 14302, 14302, 223, 1347, 4367, 69, 20407, 85, 14302, 8385, 10989, 7837, 14302, 14302, 223, 681, 468, 2431, 85, 14302, 14302, 223, 4641, 7335, 14302, 14302, 223, 655, 8188, 7694, 14302, 8385, 5942, 24176, 6829, 69, 7694, 14302, 8385, 1347, 1291, 981, 81, 7837, 14302, 8385, 1158, 378, 315, 7757, 14302, 8385, 701, 1471, 5405, 85, 14302, 8385, 16617, 8858, 14302, 8385, 16791, 807, 4512, 14302, 8385, 4637, 4851, 340, 21470, 21119, 8385, 223, 2384, 7026, 17578, 4885, 378, 315, 7757, 14302, 8385, 22451, 862, 343, 309, 318, 8858, 14302, 8385, 16305, 13566, 2910, 7026, 17578, 4885, 75, 378, 82, 7757, 14302, 8385, 16791, 807, 4512, 8385, 223, 8763, 71, 5031, 266, 312, 17349, 24783, 2343, 9807, 8385 ]
[ 1, 54, 773, 17675, 418, 14023, 370, 692, 953, 1655, 363, 3862, 67, 564, 6272, 2371, 665, 10458, 368, 1157, 1892, 16, 5250, 656, 1148, 953, 804, 692, 1512, 3237, 2430, 14887, 14, 3746, 951, 2445, 3729, 17675, 418, 14023, 1722, 1185, 370, 479, 1148, 953, 1706, 479, 14, 1153, 2856, 442, 521, 7834, 3802, 14, 2743, 479, 1110, 946, 1124, 657, 1157, 1839, 691, 442, 16, 388, 773, 17675, 418, 14023, 266, 2122, 632, 15053, 1773, 14, 2259, 17392, 1110, 946, 2026, 640, 6581, 643, 333, 16, 11680, 526, 69, 1219, 273, 526, 69, 665, 5404, 594, 261, 1210, 2341, 1444, 3682, 9041, 290, 298, 11118, 4769, 1482, 290, 298, 11118, 1512, 3237, 2506, 761, 342, 2323, 9724, 17707, 2758, 342, 1049, 1582, 368, 5522, 1587, 78, 606, 4647, 342, 1049, 1582, 368, 7486, 1587, 8608, 8183, 342, 1049, 1582, 368, 9723, 1587, 78, 606, 965, 342, 1049, 1582, 368, 5396, 1587, 6581, 6916, 342, 1049, 1582, 368, 3712, 1743, 9781, 1839, 3705, 368, 5782, 932, 6581, 490, 442, 592, 86, 7867, 342, 415, 287, 5860, 1743, 1347, 77, 5860, 342, 1839, 3705, 368, 7880, 1248, 4647, 1743, 7960, 436, 1849, 4450, 761, 6581, 4647, 1743, 2471, 578, 1839, 3705, 490, 1181, 442, 521, 436, 342, 1611, 1270, 1800, 695, 370, 511, 3085, 5626, 1743, 1347, 77, 5860, 1057, 15383, 448, 8041, 5766, 7498, 12486, 665, 454, 436, 2435, 703, 342, 3377, 15, 9826, 15, 4692, 352, 1507, 1743, 5250, 2773, 1095, 1314, 592, 77, 5860, 1057, 3795, 1507, 592, 77, 5860, 1576, 720, 1522, 1512, 1153, 637, 511, 436, 1269, 3467, 8819, 820, 2663, 572, 3061, 1210, 2341, 640, 1743, 1347, 77, 5860, 1057, 2584, 377, 691, 4724, 2460, 1254, 572, 1479, 660, 4055, 4628, 803, 1434, 454, 1973, 703, 445, 733, 370, 873, 3746, 951, 993, 646, 7087, 2069, 370, 1611, 1270, 1502, 6581, 4647, 1703, 2224, 342, 592, 77, 5860, 1057, 1509, 448, 1507, 1587, 897, 280, 1361, 441, 1145, 654, 87, 640, 4214, 2125, 2787, 4973, 720, 9724, 3551, 11909, 1743, 5250, 1095, 1582, 448, 4214, 804, 2125, 2075, 5827, 4552, 280, 1361, 441, 1145, 654, 87, 2660, 640, 3970, 8579, 6581, 4647, 1434, 280, 1361, 441, 1145, 654, 87, 1302, 343, 451, 7553, 1119, 592, 77, 5860, 1057, 1501, 589, 1479, 660, 4055, 4628, 2830, 4445, 368, 803, 589, 8312, 1316, 11315, 7553, 1655, 640, 2125, 2787, 657, 592, 77, 5860, 1057, 15383, 448, 1655, 564, 3712, 5766, 7498, 12486, 564, 3970, 8579, 280, 1361, 441, 1145, 654, 87, 13879, 3395, 6035, 1244, 657, 640, 1458, 482, 1233, 4224, 1507, 884, 720, 1388, 1705, 979, 1576, 1259, 1983, 3970, 8579, 6581, 4647, 9157, 1201, 1743, 7385, 1611, 592, 77, 5860, 1576, 720, 1444, 640, 1316, 11315, 7553, 3422, 589, 1941, 450, 397, 436, 2435, 1690, 905, 377, 479, 3319, 1556, 734, 1201, 1587, 18849, 377, 370, 1611, 1270, 1502, 6581, 8479, 4647, 607, 1091, 901, 2664, 461, 298, 11118, 28, 638, 35, 12264, 15251, 2467, 4023, 15069, 11, 8540, 2664, 461, 298, 11118, 342, 1503, 2107, 757, 368, 397, 461, 298, 11118, 14, 342, 1503, 4769, 1482, 352, 6392, 4214, 521, 821, 2066, 1349, 2066, 1919, 370, 2294, 1270, 19909, 1244, 1231, 804, 521, 290, 298, 15, 11118, 993, 5530, 665, 1854, 2892, 14, 5782, 932, 521, 821, 1919, 6500, 1349, 1919, 19456, 490, 1269, 1327, 479, 442, 1382, 342, 397, 461, 298, 11118, 450, 1086, 656, 1512, 3237, 1678, 16, 5553, 740, 782, 534, 442, 1259, 3809, 4714, 4714, 489, 521, 797, 1671, 2630, 2136, 10768, 1198, 368, 290, 298, 15, 11118, 482, 8298, 638, 77, 1797, 566, 2646, 3657, 1840, 638, 5034, 1547, 2877, 685, 2646, 19018, 1525, 738, 2632, 953, 804, 3409, 477, 293, 4419, 2630, 2136, 529, 445, 442, 901, 3352, 1675, 2614, 2075, 1154, 1248, 761, 884, 657, 397, 461, 298, 11118, 979, 589, 370, 352, 448, 2952, 442, 4272, 785, 482, 415, 2075, 28, 1376, 1005, 1706, 14, 24210, 1694, 1944, 14, 24210, 2174, 1706, 687, 6815, 782, 415, 901, 1121, 649, 3422, 589, 3325, 1035, 415, 1642, 2620, 1642, 1713, 1695, 3034, 1334, 644, 14, 352, 649, 1286, 370, 397, 1642, 2620, 1182, 1678, 1037, 1613, 1100, 1308, 461, 298, 11118, 9173, 6491, 638, 20694, 298, 2134, 5250, 656, 5645, 1678, 14, 1857, 901, 1716, 1121, 766, 1231, 804, 397, 290, 298, 15, 11118, 9173, 6491, 14, 442, 8650, 740, 22399, 397, 4184, 3085, 1326, 370, 2910, 1239, 2388, 368, 6581, 8479, 461, 298, 11118, 657, 534, 1199, 1091, 16, 7385, 442, 7666, 4275, 4184, 3085, 1326, 509, 740, 22399, 442, 3253, 342, 397, 4421, 1079, 5500, 1157, 489, 1857, 461, 298, 11118, 16, 5199, 1257, 656, 5645, 1678, 14, 521, 1951, 1121, 368, 901, 1716, 2664, 1831, 1831, 2781, 415, 901, 1121, 14, 1181, 461, 298, 11118, 18759, 804, 1768, 2317, 4041, 4724, 5854, 521, 24700, 11142, 368, 1403, 454, 521, 1613, 571, 3134, 2460, 1181, 4214, 1716, 14, 1857, 2707, 905, 932, 442, 397, 290, 298, 15, 11118, 5753, 6491, 638, 23698, 1797, 298, 11, 6392, 4214, 352, 5902, 3659, 397, 920, 2012, 1248, 14, 4769, 1482, 352, 6392, 4214, 1148, 953, 415, 2430, 14887, 4376, 7087, 489, 2294, 1270, 368, 1768, 10798, 298, 16, 7385, 1857, 16855, 1797, 298, 1755, 482, 1599, 572, 397, 2012, 2246, 2024, 1037, 656, 1211, 1233, 415, 10798, 298, 1287, 757, 342, 901, 2202, 14, 897, 1322, 377, 2952, 529, 445, 500, 1119, 1231, 632, 489, 901, 2664, 2582, 527, 558, 461, 298, 11118, 14, 370, 2230, 782, 509, 342, 1582, 4552, 1100, 454, 1105, 1973, 461, 298, 11118, 368, 415, 10798, 298, 16, 290, 298, 15, 11118, 9173, 6491, 638, 20694, 298, 461, 298, 11118, 11, 48, 298, 11118, 9173, 6491, 342, 274, 12284, 3574, 2430, 761, 454, 6103, 1364, 7898, 368, 461, 298, 11118, 16, 13096, 10798, 298, 1015, 656, 3474, 901, 2664, 1286, 820, 1512, 2620, 1198, 521, 3134, 2460, 450, 6581, 8479, 461, 298, 11118, 368, 803, 14, 786, 2654, 3134, 2460, 1364, 795, 1053, 1158, 638, 279, 7398, 397, 651, 1245, 1268, 2179, 1745, 482, 19641, 5899, 368, 6581, 461, 298, 11118, 263, 998, 2445, 7946, 1640, 572, 1129, 2646, 7701, 2501, 1005, 442, 1941, 571, 1388, 3134 ]
[ 1, 1364, 427, 16, 9636, 2460, 1261, 993, 646, 342, 3132, 6274, 352, 1345, 2654, 1613, 509, 1119, 615, 1248, 3705, 993, 5530, 368, 397, 461, 298, 11118, 16, 5199, 342, 985, 509, 884, 656, 607, 571, 415, 2460, 1261, 14, 823, 15083, 4629, 1522, 10798, 298, 897, 3477, 846, 397, 16855, 1797, 298, 370, 2460, 1261, 1365, 12643, 352, 733, 1326, 1892, 2172, 920, 1198, 2389, 450, 521, 10798, 298, 16, 16920, 2108, 368, 415, 804, 1121, 454, 2317, 489, 646, 804, 3935, 368, 2460, 1261, 1842, 2445, 665, 879, 415, 352, 4715, 1396, 3033, 2213, 6903, 1198, 368, 521, 10798, 298, 14, 649, 2067, 482, 757, 10458, 3374, 3268, 368, 415, 16855, 1797, 298, 1541, 905, 660, 1119, 397, 2707, 461, 298, 11118, 1005, 1210, 2341, 1522, 10798, 298, 489, 397, 16855, 1797, 298, 342, 482, 932, 14, 4272, 785, 482, 2317, 368, 290, 654, 23132, 370, 1501, 10798, 298, 342, 28, 1484, 92, 1992, 17801, 461, 654, 23132, 14, 1484, 12999, 11817, 570, 1141, 16012, 352, 4960, 1797, 81, 570, 2431, 13744, 1053, 397, 16855, 1797, 298, 342, 528, 998, 7324, 681, 2431, 13642, 29, 16653, 342, 262, 9160, 368, 14090, 11334, 370, 370, 1522, 10798, 298, 482, 14090, 11334, 14, 5942, 4716, 67, 14197, 11409, 14, 388, 2355, 685, 1053, 397, 16855, 1797, 298, 342, 503, 4717, 17618, 16, 3080, 2707, 290, 298, 15, 11118, 490, 442, 4214, 1716, 461, 298, 11118, 846, 2356, 644, 1431, 352, 5340, 1268, 748, 551, 901, 1121, 461, 298, 11118, 797, 1280, 2179, 7208, 738, 1148, 953, 397, 1892, 1608, 9692, 357, 945, 1270, 1460, 1219, 2431, 1679, 638, 926, 2431, 1679, 448, 582, 551, 2594, 1015, 2646, 509, 342, 397, 2071, 521, 2654, 977, 572, 1738, 1050, 615, 2111, 1849, 1397, 2429, 368, 397, 290, 298, 11118, 740, 1397, 1245, 290, 298, 15, 11118, 1212, 6491, 638, 926, 1797, 298, 461, 298, 11118, 11, 48, 298, 11118, 1212, 6491, 342, 3352, 482, 461, 298, 11118, 1015, 1095, 1582, 3675, 1035, 1642, 2620, 5940, 290, 298, 15, 11118, 1212, 6491, 1039, 695, 564, 1231, 804, 397, 454, 521, 1459, 368, 2317, 1724, 461, 298, 11118, 1722, 1185, 370, 479, 1747, 903, 1397, 2429, 3085, 1326, 1652, 1185, 9041, 461, 298, 11118, 368, 1248, 1706, 1181, 607, 2103, 692, 415, 9724, 461, 298, 11118, 728, 16, 3184, 651, 461, 298, 11118, 1212, 1322, 482, 377, 1747, 903, 1724, 2317, 370, 479, 1747, 903, 665, 415, 2636, 5902, 3659, 12519, 846, 901, 2664, 461, 298, 11118, 14, 1134, 1722, 1185, 370, 479, 2324, 1261, 450, 397, 2190, 2460, 1261, 1637, 953, 2541, 479, 551, 397, 651, 2707, 837, 1388, 482, 571, 450, 4197, 5084, 846, 1300, 2620, 1695, 290, 298, 11118, 1212, 6491, 16, 3342, 521, 461, 298, 11118, 1212, 6491, 500, 1100, 798, 521, 3134, 2460, 637, 1860, 1364, 427, 450, 615, 1364, 519, 14, 7701, 370, 1245, 1268, 5626, 442, 2460, 1261, 1364, 611, 16, 6207, 1376, 1479, 1219, 1797, 298, 823, 415, 10798, 298, 979, 3325, 2991, 397, 1642, 2620, 2086, 1053, 3010, 293, 3219, 3568, 14, 377, 733, 4503, 640, 551, 738, 2620, 632, 2515, 1270, 1154, 1248, 368, 461, 298, 11118, 1154, 657, 897, 2247, 572, 797, 1105, 2429, 4812, 6451, 14, 3061, 1100, 1246, 3713, 14, 352, 377, 521, 370, 521, 10798, 298, 368, 397, 9724, 461, 298, 11118, 1747, 903, 884, 897, 415, 10798, 298, 637, 521, 9041, 290, 298, 11118, 1211, 1248, 1706, 728, 649, 879, 442, 2732, 450, 1086, 1250, 2620, 16, 2374, 2620, 442, 2781, 804, 1146, 1459, 28, 8616, 397, 342, 1459, 2620, 1170, 3522, 14, 1244, 1183, 422, 376, 490, 370, 1086, 5126, 15, 758, 7, 5447, 1244, 500, 720, 3514, 2521, 8357, 638, 4250, 905, 932, 657, 1460, 10798, 298, 607, 2620, 1091, 1219, 1797, 298, 695, 734, 649, 1854, 1157, 3624, 3403, 11, 1743, 8616, 1108, 342, 1459, 2005, 2080, 2294, 1270, 3477, 846, 368, 803, 1308, 1756, 1574, 3675, 1035, 415, 2653, 87, 4756, 10933, 4383, 368, 3319, 1257, 14, 1459, 797, 10798, 298, 1302, 1035, 442, 521, 2653, 4756, 509, 500, 6242, 1391, 1403, 564, 287, 605, 72, 87, 511, 15, 19, 4041, 1695, 572, 651, 3624, 10798, 298, 1512, 293, 418, 3237, 761, 450, 3099, 4287, 1400, 1306, 16, 8616, 1522, 14, 3099, 1110, 1400, 1306, 1642, 2620, 5940, 3089, 1695, 1219, 1797, 298, 14, 1857, 3452, 2429, 342, 511, 1280, 3746, 951, 1382, 442, 4311, 2235, 2080, 2302, 521, 2515, 2075, 370, 479, 3253, 342, 2430, 3323, 352, 1722, 5209, 761, 368, 1459, 1882, 10798, 298, 1512, 3237, 14, 1110, 1035, 1883, 1735, 649, 482, 3712, 3636, 2620, 2429, 368, 1768, 10798, 298, 657, 370, 479, 3034, 1091, 1219, 1797, 298, 1400, 823, 1768, 10798, 298, 1015, 1095, 1582, 1091, 1219, 1797, 298, 500, 442, 4462, 397, 13004, 1211, 2324, 368, 461, 298, 11118, 1364, 1431, 1210, 2341, 3338, 13170, 1525, 1639, 1639, 14, 3338, 454, 521, 2026, 2361, 2388, 368, 9724, 461, 298, 11118, 657, 534, 1199, 1091, 16, 3342, 1015, 2773, 1095, 1314, 1091, 1219, 1797, 298, 14, 415, 1219, 1797, 298, 1722, 1185, 370, 479, 571, 262, 9160, 2224, 368, 397, 2317, 1919, 2341, 797, 10798, 298, 607, 571, 415, 2460, 1261, 14, 1882, 1459, 342, 2460, 1261, 1364, 427, 638, 14576, 1245, 2362, 2052, 368, 461, 5899, 12733, 77, 597, 654, 87, 571, 2317, 2224, 368, 2317, 2341, 5942, 4716, 67, 14197, 11409, 14, 1484, 92, 1992, 17801, 461, 654, 23132, 14, 13384, 3047, 2384, 10631, 5458, 67, 14, 5632, 11409, 23367, 1145, 3417, 75, 607, 3551, 2209, 1187, 1484, 12999, 11817, 570, 1141, 16012, 720, 9674, 665, 1370, 660, 1563, 1420, 1361, 441, 1145, 654, 87, 342, 3134, 2460, 1364, 519, 2134, 290, 298, 15, 11118, 5753, 6491, 638, 23698, 1797, 298, 11, 48, 298, 11118, 5753, 6491, 638, 23698, 1797, 298, 11, 342, 461, 298, 11118, 1095, 5827, 368, 415, 9041, 461, 298, 11118, 1210, 8041, 1522, 2707, 461, 298, 11118, 509, 342, 16855, 1797, 298, 1110, 1400, 14, 16855, 1797, 298, 2179, 7208, 638, 4456, 36, 55, 11, 1053, 16855, 1797, 298, 2445, 262, 9160, 4197, 5084, 638, 19285, 3964, 6948, 87, 16855, 1797, 298, 11, 1743, 16855, 1797, 298, 342 ]
[ 1, 45, 87, 23398, 6745, 1312, 87, 1084, 91, 21291, 4463, 13457, 1866, 3395, 660, 734, 1308, 1563, 2868, 14, 821, 922, 649, 377, 479, 4881, 724, 8298, 572, 16, 4915, 9302, 263, 1141, 6745, 1592, 377, 1902, 24651, 1091, 28, 427, 743, 5359, 20817, 509, 448, 748, 1108, 3646, 695, 1769, 14, 884, 377, 370, 2649, 635, 342, 8731, 482, 932, 16024, 1997, 2602, 285, 309, 263, 1141, 6745, 1250, 3268, 411, 745, 651, 287, 3964, 309, 22006, 1839, 368, 6947, 2676, 298, 15021, 454, 4181, 3624, 4980, 482, 448, 720, 727, 5814, 1541, 975, 1507, 368, 1053, 397, 3893, 2085, 5031, 5434, 2873, 3416, 2073, 479, 377, 1574, 28, 4293, 377, 946, 521, 635, 409, 582, 448, 2118, 572, 33, 14, 17235, 23398, 6745, 388, 315, 17480, 388, 1792, 9807, 274, 6072, 287, 87, 263, 1141, 6745, 6207, 3466, 2019, 804, 21336, 14, 2019, 804, 6835, 14, 2019, 804, 2302, 16, 1682, 2012, 285, 8920, 654, 998, 2561, 3462, 18207, 18207, 14, 1440, 940, 846, 649, 370, 479, 1382, 1035, 14, 2009, 860, 2707, 2586, 1334, 993, 1716, 1244, 377, 370, 551, 509, 14, 274, 4420, 287, 3964, 309, 1100, 5985, 4201, 287, 3964, 309, 1592, 900, 768, 6852, 92, 21950, 352, 1162, 424, 1491, 833, 521, 3639, 2712, 368, 2111, 1849, 15271, 4812, 490, 564, 1079, 803, 993, 1198, 458, 16, 287, 3964, 309, 287, 87, 263, 1141, 6745, 274, 6072, 665, 287, 3964, 309, 847, 1952, 1021, 414, 1021, 414, 14, 532, 370, 833, 1382, 1562, 3812, 1843, 368, 532, 342, 985, 1884, 786, 5629, 368, 532, 5056, 377, 33, 14, 2448, 15701, 11646, 18398, 1618, 3536, 1800, 1672, 2161, 790, 1387, 368, 287, 87, 263, 1141, 6745, 11539, 1049, 1254, 649, 370, 479, 798, 768, 5931, 1705, 368, 620, 922, 448, 1722, 1185, 5270, 13559, 1556, 2773, 9591, 5721, 287, 3964, 309, 2073, 479, 377, 582, 28, 2806, 703, 4980, 482, 377, 691, 2942, 4705, 368, 521, 436, 490, 14, 1362, 411, 2003, 7776, 15522, 17235, 23398, 6745, 795, 1471, 3589, 298, 5687, 332, 2073, 16443, 442, 1574, 28, 8984, 1362, 1440, 571, 975, 4524, 635, 932, 33, 287, 67, 263, 1141, 6745, 9781, 436, 766, 2927, 6532, 13440, 2579, 632, 738, 1254, 500, 342, 436, 4311, 953, 2158, 1882, 14, 17235, 23398, 6745, 1905, 4885, 271, 5512, 17318, 10590, 16657, 274, 4743, 5550, 1618, 3536, 1905, 285, 309, 9327, 3746, 20440, 18207, 18207, 14, 1424, 782, 14, 1884, 786, 7690, 10874, 1091, 1833, 953, 4576, 1364, 5031, 5434, 795, 496, 87, 3540, 582, 28, 10745, 14, 1157, 489, 1440, 14, 2112, 1842, 448, 2381, 377, 370, 3474, 607, 16024, 5031, 5434, 3786, 287, 3964, 309, 9230, 3895, 532, 720, 11974, 2085, 665, 3671, 2805, 352, 3061, 1100, 3638, 1735, 368, 646, 8544, 12519, 287, 87, 263, 1141, 6745, 274, 4420, 1592, 377, 1902, 4663, 5389, 1563, 352, 582, 28, 1689, 1589, 1312, 835, 5034, 418, 14, 436, 442, 5622, 2532, 342, 1563, 1522, 2729, 7405, 14, 649, 615, 782, 16024, 377, 479, 3786, 21146, 632, 223, 315, 4373, 287, 87, 287, 87, 285, 309, 2073, 479, 377, 1574, 28, 11253, 2805, 377, 2640, 14, 846, 860, 2480, 2409, 640, 3994, 20508, 482, 932, 33, 511, 263, 1141, 6745, 1592, 377, 479, 377, 1574, 519, 566, 1166, 7883, 835, 28, 3718, 2013, 823, 21293, 13095, 342, 635, 33, 14, 17235, 23398, 6745, 519, 1651, 1622, 1447, 1783, 2533, 377, 3786, 6848, 442, 8954, 2067, 482, 4295, 2205, 1940, 1053, 368, 1434, 4087, 4839, 1302, 1866, 442, 2019, 804, 10950, 1705, 1316, 2036, 287, 3964, 309, 263, 1141, 6745, 5803, 3403, 2073, 479, 377, 1574, 28, 3282, 720, 860, 932, 656, 972, 22354, 620, 922, 14, 681, 23962, 7028, 897, 13968, 2371, 681, 3964, 309, 20935, 9781, 436, 370, 2649, 482, 409, 377, 2300, 1254, 567, 415, 1833, 953, 1181, 450, 1783, 2533, 2073, 479, 377, 1574, 28, 18831, 534, 370, 589, 342, 3544, 6337, 1774, 972, 377, 33, 3895, 932, 17235, 23398, 6745, 8621, 2669, 7439, 546, 5029, 4603, 2161, 18790, 1362, 9327, 3746, 1477, 377, 1902, 303, 1018, 303, 1898, 582, 28, 923, 713, 377, 691, 846, 860, 16, 287, 3964, 309, 13248, 1447, 1592, 900, 821, 922, 1377, 534, 640, 564, 4575, 3212, 757, 368, 534, 442, 1814, 1222, 342, 3898, 6491, 14, 2872, 2614, 2589, 3361, 15522, 17235, 23398, 6745, 655, 91, 5299, 1446, 10630, 5405, 9608, 3437, 5867, 1592, 1100, 572, 436, 490, 342, 21327, 11581, 91, 15583, 14, 436, 2625, 757, 1951, 6927, 3010, 10560, 975, 786, 9327, 3746, 5071, 649, 370, 479, 3268, 442, 768, 6852, 92, 21950, 833, 582, 768, 5561, 760, 1976, 370, 879, 797, 1447, 16024, 2448, 15701, 285, 6930, 14279, 299, 2611, 7117, 85, 3786, 287, 87, 263, 1141, 6745, 632, 1412, 4735, 1334, 812, 59, 71, 1166, 7236, 91, 506, 4, 368, 461, 4920, 463, 6972, 448, 1153, 5646, 665, 4430, 1230, 2448, 15701, 1618, 3536, 24217, 4720, 2073, 479, 377, 4503, 640, 352, 1574, 28, 4293, 833, 571, 635, 33, 14, 17235, 23398, 6745, 986, 566, 388, 623, 14123, 920, 1814, 411, 2003, 7776, 1831, 3167, 9260, 1183, 368, 397, 724, 8215, 352, 1265, 4524, 454, 2626, 2389, 888, 1244, 14, 571, 860, 370, 479, 1821, 6685, 489, 409, 14, 21327, 483, 1312, 75, 6486, 685, 448, 2405, 748, 1800, 2293, 1265, 4524, 454, 521, 695, 490, 16, 920, 3786, 1833, 953, 2139, 761, 11539, 1049, 1254, 1424, 798, 397, 436, 2435, 703, 4591, 370, 482, 932, 740, 4459, 14, 287, 3964, 309, 511, 1448, 10260, 287, 87, 263, 1141, 6745, 2602, 2073, 1902, 9175, 5754, 28, 4967, 377, 589, 342, 2776, 14, 352, 5843, 649, 377, 589, 1194, 1919, 274, 4420, 287, 3964, 309, 1021, 414, 3437, 17589, 81, 19349, 20109, 1424, 821, 14, 6918, 1689, 3171, 90, 3171, 18397, 2235, 14, 370, 1194, 635, 932, 14, 2161, 18790, 1362, 9327, 3746, 2161, 263, 1141, 6745, 17035, 1843, 740, 377, 1781, 11165, 482, 720, 6584, 10942, 1843, 16, 920, 3786, 2202, 1682, 740, 1783, 2533, 1021, 414, 1021, 414, 14, 532, 370, 479, 1601, 703, 1690, 368, 532, 1134, 3211, 706, 1316, 1642, 436, 1706, 734, 368, 703, 1690, 532, 14, 1618, 79, 2804, 263, 1141 ]
[ 1, 22494, 1482, 1556, 2773, 564, 3786, 1833, 953, 740, 223, 315, 4373, 2073, 479, 377, 1574, 28, 4293, 377, 946, 521, 635, 409, 582, 448, 2118, 572, 33, 1036, 86, 2546, 309, 287, 11083, 1141, 6745, 1592, 900, 768, 3657, 1840, 3795, 6809, 1134, 3657, 1840, 18050, 3112, 368, 436, 3142, 1834, 1491, 377, 733, 2421, 5948, 14, 17235, 23398, 6745, 1162, 10738, 68, 3246, 5564, 80, 2248, 862, 3786, 352, 4086, 1869, 2448, 15701, 1005, 761, 2073, 479, 377, 1574, 28, 2984, 4471, 795, 496, 370, 551, 782, 377, 33, 1814, 2012, 285, 8920, 654, 998, 2561, 3462, 3895, 532, 720, 1153, 940, 14, 532, 500, 589, 1157, 1391, 489, 646, 2781, 1563, 1134, 3211, 706, 342, 2808, 4184, 14, 4086, 1869, 5031, 5434, 450, 1783, 2533, 920, 1682, 411, 2003, 7776, 2561, 3462, 2073, 479, 377, 10262, 10186, 28, 3895, 3991, 519, 14389, 87, 81, 5769, 748, 3991, 490, 2844, 287, 3964, 309, 18207, 18207, 14, 1988, 1230, 532, 1320, 646, 879, 6703, 2303, 14, 2990, 2235, 368, 532, 489, 9919, 3466, 766, 10445, 1788, 14, 3786, 651, 1783, 2533, 720, 1287, 2389, 1682, 287, 87, 263, 1141, 6745, 1021, 414, 6947, 2915, 10191, 5907, 352, 8055, 1964, 6537, 1166, 418, 15144, 28, 5371, 615, 1095, 1582, 1357, 1268, 287, 87, 22129, 835, 503, 609, 1334, 2247, 1856, 10191, 1005, 368, 2707, 3537, 941, 760, 5908, 91, 1246, 17811, 665, 7121, 1187, 2209, 4624, 5577, 75, 14, 377, 3786, 442, 1833, 953, 740, 223, 315, 1094, 681, 3964, 309, 88, 5124, 18790, 1362, 1592, 377, 479, 377, 1574, 28, 5553, 860, 532, 640, 1305, 798, 482, 932, 33, 3895, 532, 1269, 1327, 5141, 2052, 482, 940, 846, 18790, 263, 616, 287, 87, 285, 309, 5400, 860, 436, 445, 370, 479, 2766, 640, 266, 2092, 19301, 740, 2725, 33, 570, 2092, 2725, 733, 342, 3573, 1788, 368, 266, 2092, 19301, 14, 17235, 23398, 6745, 5173, 11409, 1166, 8678, 85, 17235, 23398, 6745, 7585, 2871, 7585, 2871, 14668, 418, 8894, 9781, 436, 1400, 1079, 1574, 1447, 368, 397, 2186, 3538, 615, 637, 1303, 18790, 287, 87, 285, 309, 2073, 479, 377, 2915, 10189, 28, 528, 3398, 3398, 3398, 22263, 951, 1324, 236, 6907, 261, 1051, 14, 3786, 5031, 5434, 450, 223, 315, 4373, 920, 1634, 1434, 411, 2003, 7776, 287, 87, 263, 1141, 6745, 1021, 414, 14098, 75, 582, 28, 3080, 5770, 2036, 368, 409, 448, 3809, 2626, 1166, 506, 760, 506, 8776, 1588, 482, 660, 734, 33, 920, 2107, 14360, 1556, 2773, 287, 3964, 309, 2073, 479, 377, 4657, 7657, 836, 81, 28, 3659, 409, 920, 571, 814, 509, 14, 3786, 21146, 287, 3964, 309, 2602, 3786, 1833, 953, 632, 16825, 1849, 479, 2116, 448, 2952, 615, 2356, 657, 521, 10695, 8298, 1110, 1400, 377, 479, 571, 5450, 1705, 16, 20838, 15423, 287, 3964, 309, 2893, 5345, 2080, 352, 1817, 2080, 1303, 33, 4698, 4402, 1424, 3310, 14, 287, 3964, 309, 5803, 3403, 436, 1682, 846, 3738, 263, 1141, 6745, 287, 87, 2872, 2371, 2073, 479, 377, 582, 28, 24533, 1270, 2086, 1370, 479, 940, 1320, 5766, 2388, 8654, 1964, 640, 1556, 2773, 681, 23962, 7028, 11841, 3963, 352, 7745, 2304, 271, 548, 79, 5389, 2304, 2632, 1773, 665, 3596, 14, 415, 6848, 15522, 1181, 450, 5031, 5434, 6848, 2872, 2614, 1100, 1447, 1592, 377, 16443, 442, 657, 22354, 28, 2107, 2235, 3700, 572, 657, 1382, 17235, 23398, 6745, 3463, 1834, 20360, 14668, 418, 8894, 15681, 1121, 3615, 6319, 656, 2808, 2844, 377, 1119, 720, 1157, 2637, 1316, 692, 14, 3786, 415, 1833, 953, 274, 6072, 3786, 287, 87, 263, 1141, 6745, 1021, 414, 14098, 75, 10874, 1091, 28, 13042, 1403, 607, 287, 3964, 309, 20124, 9781, 436, 370, 1305, 1370, 489, 519, 566, 1166, 7883, 835, 8654, 1287, 1362, 411, 2003, 7776, 681, 23962, 7028, 1672, 1345, 287, 87, 1021, 414, 6947, 2915, 10191, 5907, 352, 8055, 1964, 6537, 1166, 418, 15144, 28, 5371, 615, 1095, 1582, 1357, 1268, 4086, 1783, 2533, 1592, 377, 1902, 9175, 5754, 28, 860, 972, 5725, 2381, 932, 33, 14, 1459, 3963, 3786, 1833, 953, 368, 223, 315, 4373, 692, 1387, 1419, 363, 2817, 7780, 411, 2003, 7776, 1592, 377, 479, 377, 1574, 28, 3895, 692, 5364, 1834, 298, 1491, 377, 691, 768, 20338, 6563, 766, 2565, 12420, 3135, 5917, 263, 1141, 6745, 1005, 761, 3895, 519, 2893, 75, 856, 3171, 90, 1491, 4628, 1902, 2116, 2592, 4120, 450, 1834, 1797, 1021, 7883, 75, 14, 2872, 2371, 287, 3964, 309, 740, 1412, 1419, 4086, 1869, 287, 87, 263, 1141, 6745, 13196, 3293, 368, 415, 290, 298, 11118, 448, 607, 412, 232, 441, 1902, 1248, 2116, 724, 436, 1838, 637, 757, 3786, 6848, 411, 2003, 7776, 9781, 436, 1286, 4274, 265, 983, 1134, 5988, 15804, 454, 1563, 14, 15522, 2872, 2371, 12104, 4989, 740, 681, 3964, 309, 370, 720, 1287, 377, 2073, 479, 377, 1869, 1756, 1574, 28, 5400, 660, 734, 657, 3623, 5559, 519, 510, 79, 640, 370, 975, 1584, 8825, 271, 499, 482, 932, 287, 3964, 309, 2602, 20838, 15423, 5345, 2080, 352, 1817, 2080, 1303, 33, 4698, 4402, 1424, 3310, 14, 450, 75, 5604, 69, 343, 835, 985, 75, 978, 414, 3786, 21146, 1783, 2533, 11841, 3963, 352, 7745, 2304, 271, 548, 79, 5389, 2304, 2632, 1773, 665, 3596, 13248, 287, 3964, 309, 2073, 479, 377, 582, 28, 24533, 1270, 2086, 1370, 479, 940, 1320, 5766, 2388, 14, 3738, 285, 309, 9340, 1559, 2307, 5257, 3331, 411, 745, 651, 1592, 377, 479, 377, 1574, 28, 5553, 860, 532, 640, 1305, 798, 482, 932, 33, 3895, 532, 1269, 1327, 5141, 2052, 482, 940, 846, 3786, 6848, 450, 1783, 2533, 5031, 5434, 1592, 377, 479, 377, 1574, 28, 15104, 1582, 368, 4147, 1742, 490, 342, 635, 33, 14, 2202, 1682, 761, 17235, 23398, 6745, 23262, 10959, 3559, 9739, 87, 5891, 2073, 479, 377, 1574, 28, 5553, 860, 571, 738, 551, 782, 640, 4189, 797, 4989, 33, 1682, 411, 745, 651, 15522, 9327, 3746, 2073, 479, 377, 582, 28, 5145, 532, 448, 4552, 1100, 521, 814, 490, 14, 411, 24650, 68, 287, 3964, 309, 16, 22631, 287, 3964, 309, 6163, 3545, 77, 15370, 572, 1370, 1239, 940, 846, 368, 821, 922, 14, 3290, 2205, 2009, 342, 1919 ]
[ 1, 45, 87, 23398, 6745, 15949, 1166, 4461, 2675, 11539, 1049, 1254, 2625, 1525, 1639, 1286, 370, 479, 1424, 798, 521, 635, 766, 2247, 572, 454, 3812, 3786, 1833, 953, 6848, 2073, 479, 16443, 442, 2915, 352, 22354, 8225, 28, 12790, 2421, 23525, 733, 691, 572, 665, 14, 2873, 3416, 3590, 1248, 5031, 5434, 1005, 761, 846, 287, 87, 2804, 1592, 377, 479, 377, 582, 489, 521, 5770, 2036, 368, 4184, 2707, 1448, 2258, 490, 28, 5653, 3997, 1298, 436, 18931, 786, 905, 681, 3964, 309, 9781, 436, 370, 2649, 482, 409, 377, 2300, 1254, 567, 14, 2161, 1814, 4989, 2561, 3462, 415, 6848, 2012, 9327, 3746, 2073, 479, 377, 1574, 28, 370, 1194, 635, 932, 14, 860, 972, 640, 5515, 33, 3786, 21146, 287, 87, 285, 309, 20440, 18207, 18207, 14, 1424, 782, 14, 1884, 786, 7690, 10874, 1091, 14, 14808, 1582, 287, 3964, 309, 411, 2003, 7776, 1448, 1447, 1320, 1592, 377, 479, 377, 582, 28, 5828, 620, 14, 620, 1231, 804, 2661, 903, 368, 8093, 503, 4849, 2089, 637, 656, 734, 33, 2910, 740, 5031, 5434, 2073, 479, 377, 582, 28, 4293, 993, 646, 564, 409, 582, 768, 532, 691, 2088, 814, 509, 14, 415, 6848, 15522, 1181, 740, 5031, 5434, 1672, 1345, 305, 1363, 309, 2073, 479, 377, 582, 28, 5071, 4468, 14, 445, 1382, 1440, 4468, 849, 14, 342, 1320, 920, 1100, 1447, 1722, 1891, 287, 3964, 309, 9781, 436, 1286, 833, 1100, 442, 2196, 2907, 2158, 1882, 489, 1978, 2340, 2158, 6353, 14, 3786, 287, 3964, 309, 2602, 3786, 287, 3964, 309, 450, 223, 315, 4373, 18207, 18207, 370, 691, 2064, 2247, 3666, 1219, 9172, 82, 1491, 3459, 4379, 3354, 2653, 3945, 551, 782, 377, 33, 21146, 3786, 6848, 450, 5031, 5434, 1021, 414, 84, 414, 10647, 22852, 1834, 71, 3437, 4361, 566, 1788, 1091, 656, 1424, 798, 8093, 654, 414, 14, 1833, 953, 1182, 761, 450, 5031, 5434, 17235, 23398, 6745, 7836, 8776, 7379, 82, 1792, 19931, 85, 1592, 377, 479, 377, 1574, 28, 1592, 377, 691, 846, 860, 3437, 17589, 795, 6807, 835, 640, 1036, 3755, 632, 738, 2990, 656, 620, 922, 1269, 1327, 1187, 798, 436, 1599, 10950, 16, 17235, 23398, 6745, 611, 3680, 317, 4193, 23097, 85, 10292, 4366, 28, 23097, 85, 5031, 1998, 21765, 1689, 12391, 15093, 1358, 8761, 720, 965, 14, 509, 342, 397, 2589, 3461, 3010, 1642, 6703, 2303, 14, 415, 1672, 2161, 1814, 2012, 9327, 3746, 975, 820, 1477, 567, 1021, 414, 649, 691, 768, 1322, 620, 377, 479, 2405, 442, 528, 1469, 1166, 10254, 685, 1814, 2012, 2561, 1259, 2073, 479, 377, 1574, 28, 4293, 377, 946, 521, 635, 409, 582, 448, 2118, 572, 33, 14, 920, 2873, 3416, 1833, 953, 5031, 5434, 1833, 953, 4576, 1364, 1371, 814, 1198, 5031, 5434, 1021, 414, 1021, 414, 448, 6163, 803, 1459, 4189, 635, 33, 1312, 75, 1689, 1491, 13871, 20109, 1424, 528, 1469, 1021, 414, 454, 4208, 482, 479, 2086, 1370, 16, 17235, 23398, 6745, 22696, 266, 990, 873, 2073, 479, 377, 1574, 28, 4967, 342, 2856, 2589, 635, 14, 846, 860, 458, 370, 2649, 342, 2856, 2589, 368, 397, 724, 14344, 12302, 263, 420, 14, 415, 1833, 953, 740, 1783, 2533, 17235, 23398, 6745, 23802, 3411, 1391, 368, 2186, 4812, 1738, 377, 4662, 2405, 534, 1940, 1053, 22486, 1834, 1491, 448, 1479, 1376, 3786, 287, 3964, 309, 740, 223, 315, 4373, 1592, 377, 479, 377, 1574, 519, 566, 1166, 7883, 835, 28, 3718, 2013, 823, 21293, 13095, 342, 635, 33, 14, 17235, 23398, 6745, 14255, 23, 3786, 975, 3786, 2073, 479, 377, 1574, 28, 4293, 766, 3868, 975, 635, 932, 33, 287, 87, 19290, 1592, 900, 768, 655, 506, 1166, 418, 14039, 370, 479, 342, 905, 646, 2729, 804, 368, 821, 922, 274, 6072, 21146, 287, 3964, 309, 17235, 23398, 6745, 15290, 655, 5298, 28, 388, 2188, 2656, 5478, 7336, 2073, 479, 377, 582, 28, 1592, 377, 900, 768, 409, 377, 479, 582, 1194, 489, 521, 436, 795, 414, 91, 1491, 490, 16, 3786, 1833, 953, 4086, 1869, 19250, 1987, 368, 1248, 2116, 724, 436, 5340, 4328, 5481, 797, 1280, 3084, 1987, 368, 1154, 479, 16024, 1872, 351, 1556, 2773, 681, 55, 263, 1141, 6745, 17235, 23398, 6745, 7788, 23748, 1592, 377, 479, 377, 1574, 28, 5071, 691, 846, 860, 532, 833, 1869, 2042, 1582, 352, 458, 377, 1483, 837, 635, 615, 15517, 92, 75, 3786, 1833, 953, 5031, 5434, 740, 223, 315, 4373, 22953, 1788, 2575, 906, 8139, 665, 1035, 415, 2085, 4635, 11596, 551, 740, 1053, 14, 17235, 23398, 6745, 760, 623, 36, 1547, 2343, 263, 1141, 6745, 2561, 3462, 6163, 1447, 5189, 2927, 2729, 1037, 352, 1015, 368, 1021, 414, 1834, 87, 352, 10308, 655, 6621, 1162, 13257, 75, 3675, 1035, 5575, 1520, 3180, 266, 2092, 19301, 681, 55, 427, 7213, 6226, 49, 18790, 1362, 18264, 18207, 18207, 370, 1154, 1300, 1182, 14, 2990, 2235, 795, 2571, 8297, 3856, 1257, 1788, 1091, 14, 920, 4086, 1869, 4584, 1239, 1783, 2533, 6848, 1181, 740, 21146, 2961, 79, 2036, 1021, 2364, 720, 6346, 740, 10335, 1541, 2961, 79, 2036, 21783, 860, 985, 7019, 5342, 377, 1268, 2770, 920, 1869, 4584, 1239, 1783, 2533, 274, 4420, 287, 3964, 309, 3425, 377, 479, 377, 582, 14, 923, 4504, 905, 503, 330, 18207, 3182, 453, 670, 649, 833, 3639, 2712, 637, 3317, 3876, 16, 920, 4881, 1447, 637, 287, 87, 263, 1141, 6745, 17235, 23398, 6745, 1219, 597, 15049, 463, 1592, 1100, 572, 436, 490, 342, 21327, 11581, 91, 15583, 14, 436, 2625, 757, 1951, 6927, 3010, 10560, 4086, 1869, 1833, 953, 3769, 1685, 3356, 2435, 703, 397, 1280, 1201, 2196, 953, 2111, 1534, 368, 803, 564, 5111, 2991, 397, 3104, 1199, 1525, 3056, 16024, 287, 3964, 309, 287, 3964, 309, 2935, 975, 1856, 17740, 377, 1187, 572, 442, 4680, 17821, 7449, 4524, 5520, 454, 2052, 803, 637, 1303, 572, 920, 1634, 1667, 1434, 411, 2003, 7776, 8158, 2514, 632, 821, 2007, 7007, 7718, 1747, 903, 271, 4974, 766, 442, 1187, 2209, 879, 797, 14, 263, 1141, 6745, 2561, 3462, 5803, 3403, 2380, 2050, 4086, 1833, 953, 377, 2013, 1050, 740, 5031, 5434, 2073, 479, 377, 582, 28, 4293, 3211, 706, 377, 589, 342, 1157, 1839, 368, 6852, 92, 21950, 3786 ]
[ 1, 89, 981, 287, 3964, 309, 342, 635, 1592, 377, 479, 377, 24366, 665, 28, 5145, 415, 620, 1884, 972, 1211, 1678, 448, 1695, 436, 2572, 2064, 14, 287, 87, 18080, 3277, 2073, 479, 377, 1574, 28, 2984, 4471, 795, 496, 370, 551, 782, 377, 33, 14, 1833, 953, 21146, 1556, 2773, 9591, 5721, 287, 3964, 309, 8954, 2067, 482, 4295, 2205, 1940, 1053, 368, 1434, 4087, 4839, 1302, 1866, 442, 2019, 804, 10950, 1705, 1316, 2036, 4186, 5604, 69, 343, 835, 15522, 1477, 377, 16443, 442, 1599, 1563, 2868, 572, 833, 302, 3587, 14, 884, 2362, 1599, 1563, 572, 14, 13403, 528, 1865, 448, 4663, 1964, 2540, 1563, 620, 16024, 3786, 21146, 632, 10590, 16657, 847, 1952, 5553, 860, 975, 4812, 740, 660, 1069, 1831, 4124, 12089, 482, 932, 17235, 23398, 6745, 5564, 2366, 418, 917, 20489, 1361, 6497, 2571, 6319, 28, 3184, 6086, 1248, 1181, 500, 377, 3230, 720, 9093, 20843, 14, 411, 2003, 7776, 15522, 1376, 4189, 11218, 13725, 287, 3964, 309, 2073, 479, 377, 1574, 28, 1592, 1119, 571, 635, 1322, 532, 377, 479, 1559, 1738, 1540, 820, 33, 17235, 23398, 6745, 7379, 82, 1792, 19931, 85, 1477, 445, 377, 1902, 1574, 28, 10303, 1842, 6954, 448, 1187, 442, 2827, 10978, 9760, 2858, 1327, 33, 14, 263, 1141, 6745, 2561, 3462, 370, 1314, 12968, 377, 17235, 23398, 6745, 24269, 3666, 2521, 91, 1444, 24925, 4480, 2424, 720, 1705, 352, 13391, 14, 2860, 3692, 4186, 458, 681, 55, 19924, 370, 720, 82, 377, 2073, 479, 377, 1574, 28, 5553, 860, 532, 370, 479, 2227, 3037, 482, 932, 14, 17235, 23398, 6745, 655, 3779, 14288, 14668, 418, 8894, 287, 3964, 309, 2602, 5803, 3403, 17740, 833, 409, 1502, 620, 922, 2952, 442, 14, 532, 500, 377, 1210, 1042, 691, 442, 920, 411, 2003, 7776, 720, 82, 1592, 377, 479, 377, 2915, 489, 790, 803, 28, 4722, 490, 993, 646, 377, 2067, 482, 521, 635, 409, 571, 14, 521, 2202, 1682, 454, 263, 1141, 6745, 287, 87, 263, 1141, 6745, 370, 5803, 3403, 1021, 414, 14098, 75, 582, 14, 812, 2325, 342, 2927, 1563, 368, 760, 506, 21863, 1166, 506, 1157, 489, 951, 5770, 368, 409, 3694, 17235, 23398, 6745, 2384, 88, 8097, 21965, 1158, 1267, 3589, 4227, 760, 5908, 91, 399, 84, 78, 448, 2872, 1562, 368, 803, 489, 415, 2224, 352, 5770, 2036, 368, 415, 1559, 2429, 1199, 14, 2161, 18790, 1362, 9327, 3746, 20838, 15423, 1334, 5739, 2161, 3393, 1245, 1268, 490, 14, 532, 1269, 370, 479, 1187, 798, 397, 1455, 3893, 450, 803, 287, 87, 305, 6526, 483, 2073, 479, 377, 2915, 10189, 28, 528, 3398, 3398, 3398, 22263, 951, 1324, 236, 6907, 261, 1051, 14, 20838, 15423, 15053, 2506, 309, 2448, 15701, 271, 4970, 293, 998, 6035, 685, 1230, 2307, 1459, 3963, 14808, 287, 87, 263, 1141, 6745, 1021, 2364, 18119, 5194, 1257, 377, 5141, 2052, 489, 436, 2506, 761, 740, 6152, 10335, 16, 17235, 23398, 6745, 795, 19750, 7379, 82, 1792, 23262, 10959, 3559, 1592, 900, 458, 1949, 14, 3786, 287, 3964, 309, 450, 3769, 1685, 17235, 23398, 6745, 2467, 4909, 18671, 1021, 414, 14098, 75, 10874, 1091, 28, 13042, 1403, 607, 17235, 23398, 6745, 1905, 4885, 271, 5512, 17318, 17235, 23398, 6745, 24269, 1162, 8606, 795, 3453, 638, 13024, 3382, 11, 2073, 479, 377, 14540, 12345, 28, 5024, 1424, 1071, 920, 368, 529, 409, 15727, 4989, 18608, 3917, 18790, 263, 616, 287, 11083, 1141, 6745, 1592, 377, 479, 377, 1574, 28, 3193, 2464, 368, 10715, 7788, 1312, 75, 7883, 3171, 370, 2775, 2324, 1015, 656, 2912, 8093, 1094, 87, 655, 2347, 377, 33, 17235, 23398, 6745, 8369, 87, 1836, 91, 1162, 2366, 4121, 21613, 21960, 4155, 5794, 3356, 509, 448, 1843, 632, 2416, 1037, 489, 2166, 382, 1082, 5481, 352, 607, 3872, 665, 436, 1842, 941, 454, 786, 1672, 2161, 287, 3964, 309, 287, 87, 263, 1141, 6745, 368, 955, 734, 2073, 479, 377, 1574, 28, 5145, 532, 448, 691, 632, 814, 490, 6848, 1005, 450, 5031, 5434, 5024, 564, 461, 1491, 5653, 411, 14909, 955, 285, 6638, 23161, 80, 1091, 1391, 821, 922, 14, 287, 87, 287, 309, 4086, 1869, 10590, 16657, 2448, 15701, 1021, 414, 14098, 75, 582, 14, 812, 2325, 342, 2927, 1563, 368, 760, 506, 21863, 1166, 506, 1157, 489, 951, 5770, 368, 409, 3694, 17235, 23398, 6745, 18035, 3234, 24689, 815, 3895, 519, 2893, 75, 856, 3171, 90, 1491, 4628, 1902, 2116, 2592, 4120, 450, 1834, 1797, 1021, 7883, 75, 14, 6848, 411, 2003, 343, 5313, 920, 1869, 411, 2003, 7776, 3393, 2052, 377, 1902, 833, 1964, 14828, 11274, 3639, 4266, 740, 436, 572, 16, 920, 18790, 1362, 287, 3964, 309, 5189, 2927, 2729, 1037, 352, 1015, 368, 1021, 414, 1834, 87, 352, 10308, 655, 6621, 1162, 13257, 75, 3675, 1035, 5575, 1520, 3180, 266, 2092, 19301, 14, 1833, 953, 3786, 6848, 3557, 2340, 3769, 1685, 415, 1892, 1608, 1814, 285, 8920, 654, 998, 6497, 2571, 6319, 352, 3615, 6319, 19194, 11904, 2868, 3839, 1316, 1652, 368, 427, 1976, 856, 75, 483, 4576, 1364, 5031, 5434, 450, 1783, 2533, 2073, 479, 377, 582, 28, 3895, 620, 922, 607, 1053, 532, 615, 521, 7228, 12727, 1755, 509, 14, 620, 922, 500, 607, 1358, 1035, 509, 16024, 17235, 36, 309, 19924, 1347, 4729, 2104, 6639, 2075, 1682, 681, 55, 19924, 5345, 2080, 352, 1817, 2080, 1303, 33, 4698, 4402, 1424, 3310, 1459, 3963, 3786, 6848, 450, 223, 315, 4373, 18207, 18207, 14, 972, 766, 900, 635, 932, 33, 10669, 87, 1834, 1491, 766, 2962, 1525, 3056, 821, 922, 14, 17235, 23398, 6745, 12447, 13601, 5381, 4759, 546, 411, 2003, 7776, 263, 1141, 6745, 1592, 377, 479, 377, 582, 489, 503, 7236, 1834, 418, 28, 812, 3577, 342, 397, 2994, 1774, 14231, 16880, 1692, 285, 8920, 654, 998, 287, 3964, 309, 9781, 436, 1286, 370, 442, 521, 635, 803, 979, 564, 1183, 1308, 790, 2294, 1270, 368, 803, 14, 2873, 3416, 2448, 15701, 1754, 10381, 263, 1141, 6745, 2073, 479, 377, 582, 28, 1592, 377, 900, 768, 409, 377, 479, 582, 1194, 489, 521, 436, 795, 414, 91, 1491, 490, 16, 920, 3786, 6848, 5031, 5434, 740, 3769, 1685, 18207, 18207, 14, 1988, 1230, 532, 1320, 646, 879, 6703, 2303, 14, 2990, 2235, 368 ]
[ 1, 72, 15701, 20838, 15423, 4885, 261, 1021, 414, 1021, 414, 377, 833, 2209, 7405, 564, 2361, 2247, 860, 377, 1655, 21043, 2343, 33, 6456, 3738, 287, 3964, 309, 10723, 1735, 342, 10351, 2565, 1079, 1257, 720, 450, 2744, 276, 2744, 16024, 263, 1141, 6745, 274, 4420, 2202, 1682, 1833, 953, 1592, 377, 479, 377, 900, 615, 1756, 582, 2579, 1667, 368, 9128, 3437, 967, 28, 4480, 1244, 572, 637, 1053, 397, 4705, 5031, 5434, 3769, 1685, 223, 315, 4373, 1592, 377, 479, 377, 3997, 436, 1842, 941, 352, 582, 28, 812, 1907, 1269, 1327, 1448, 589, 377, 33, 3640, 1672, 9489, 9327, 3746, 17235, 23398, 6745, 388, 623, 14123, 317, 1060, 5258, 873, 17191, 7120, 370, 479, 551, 454, 377, 2136, 397, 1613, 2202, 1682, 564, 3786, 2073, 479, 377, 1574, 28, 2899, 589, 342, 436, 368, 16188, 10788, 3466, 377, 33, 14, 17235, 23398, 6745, 1162, 566, 6124, 1361, 4759, 20627, 16620, 760, 15702, 701, 4269, 920, 1682, 411, 745, 651, 287, 87, 263, 1141, 6745, 6727, 567, 1298, 436, 1286, 450, 768, 503, 330, 18207, 14678, 8931, 1105, 1973, 490, 733, 370, 2209, 1053, 489, 2209, 657, 1605, 16, 4086, 1869, 1783, 2533, 1021, 414, 14098, 75, 733, 3633, 640, 637, 2052, 2927, 1563, 368, 1166, 506, 1312, 75, 6486, 9172, 16024, 4186, 2506, 309, 2161, 3786, 1833, 953, 3769, 1685, 450, 5031, 5434, 9758, 1716, 1244, 7007, 7718, 766, 1153, 5646, 14, 905, 932, 2860, 1382, 458, 2873, 3416, 3590, 1248, 1005, 761, 13457, 551, 1303, 14, 620, 922, 649, 500, 377, 4662, 1079, 1842, 1037, 2012, 1351, 1856, 368, 529, 445, 16024, 287, 87, 287, 87, 25, 1274, 3319, 3539, 4915, 975, 2073, 479, 377, 1574, 28, 5145, 532, 448, 691, 632, 814, 490, 411, 2003, 7776, 15522, 2073, 479, 377, 5754, 2449, 28, 9636, 436, 370, 479, 2405, 352, 6200, 733, 905, 2190, 1065, 12747, 490, 14, 4086, 5031, 5434, 450, 223, 315, 4373, 3786, 6848, 223, 315, 4373, 3557, 2340, 4480, 370, 720, 2405, 4950, 377, 14, 1838, 567, 656, 458, 377, 589, 342, 3574, 761, 287, 3964, 309, 1905, 5345, 2080, 352, 1817, 2080, 1303, 33, 4698, 4402, 1424, 3310, 14, 1798, 81, 1682, 411, 2003, 7776, 287, 3964, 309, 17235, 23398, 6745, 16375, 21217, 1077, 624, 22507, 2073, 16443, 442, 2915, 28, 13196, 1840, 1695, 3104, 490, 2380, 2050, 920, 1682, 411, 2003, 7776, 427, 606, 3624, 436, 14, 2186, 1773, 888, 2367, 2424, 720, 1153, 940, 16024, 4086, 1869, 640, 5031, 5434, 1682, 6848, 5031, 5434, 740, 3769, 1685, 17740, 377, 1187, 572, 442, 4680, 17821, 7449, 4524, 5520, 454, 2052, 803, 637, 1303, 572, 287, 3964, 309, 16, 263, 1220, 16, 18141, 3356, 445, 946, 768, 14519, 414, 388, 3171, 12999, 342, 656, 14519, 414, 23774, 13871, 897, 1774, 14, 19378, 2012, 681, 3964, 309, 17235, 23398, 6745, 1689, 259, 245, 570, 259, 245, 503, 8337, 225, 48, 519, 21321, 37, 3356, 509, 448, 720, 1705, 1541, 4231, 1108, 2224, 4788, 6430, 86, 414, 368, 529, 409, 16, 415, 1672, 411, 2003, 7776, 2561, 3462, 1021, 414, 14098, 75, 582, 14, 812, 2325, 342, 2927, 1563, 368, 760, 506, 21863, 1166, 506, 1157, 489, 951, 5770, 368, 409, 33, 3640, 681, 55, 19924, 370, 720, 82, 377, 285, 309, 263, 1141, 6745, 15522, 1592, 377, 479, 377, 1574, 28, 5553, 860, 532, 377, 1747, 1250, 397, 646, 2511, 1199, 482, 932, 33, 1592, 1382, 1322, 532, 377, 1958, 1357, 2328, 2649, 33, 1482, 21146, 740, 5031, 5434, 1021, 414, 3437, 17589, 81, 19349, 20109, 1424, 821, 14, 6918, 1689, 3171, 90, 3171, 18397, 2235, 14, 370, 1194, 635, 932, 287, 87, 263, 1141, 6745, 370, 1268, 1608, 377, 4186, 6848, 263, 1141, 6745, 2073, 479, 377, 1574, 28, 4293, 1049, 582, 768, 529, 409, 2872, 2371, 1783, 2533, 1592, 900, 768, 10142, 2075, 368, 409, 448, 2952, 615, 397, 1582, 879, 2430, 3323, 14, 2202, 1682, 681, 11083, 1141, 6745, 1592, 377, 479, 377, 2915, 28, 782, 342, 1553, 1091, 3319, 1553, 2707, 3692, 287, 87, 263, 1141, 6745, 2073, 16443, 442, 2915, 28, 681, 956, 2941, 900, 490, 1005, 342, 1747, 2205, 1320, 761, 14, 920, 3786, 274, 6072, 632, 1783, 2533, 2872, 2371, 3738, 2073, 479, 377, 1574, 28, 5553, 860, 571, 738, 551, 782, 640, 4189, 797, 4989, 33, 1833, 953, 2161, 450, 5031, 5434, 3356, 2435, 703, 9043, 665, 5257, 2640, 7539, 4295, 454, 2166, 1622, 5843, 370, 20834, 2449, 14, 287, 87, 263, 1141, 6745, 5803, 3403, 17235, 23398, 6745, 1162, 1797, 4771, 7451, 87, 12048, 9781, 436, 1286, 370, 397, 5500, 7718, 2986, 3632, 564, 607, 287, 87, 18080, 5803, 3403, 1592, 500, 1306, 2866, 482, 660, 734, 454, 1854, 2892, 33, 11139, 1042, 409, 448, 5402, 442, 646, 946, 1915, 368, 620, 922, 14, 17235, 23398, 6745, 461, 3171, 461, 3171, 6558, 1834, 87, 287, 3964, 309, 11777, 2828, 2073, 479, 377, 582, 28, 5400, 860, 409, 691, 1584, 724, 5843, 490, 4186, 21146, 287, 87, 285, 309, 18207, 18207, 370, 691, 2064, 2247, 3666, 1219, 9172, 82, 1491, 3459, 4379, 3354, 2653, 3945, 551, 782, 377, 33, 14, 17235, 23398, 6745, 760, 623, 10159, 998, 287, 87, 263, 1141, 6745, 2872, 2614, 18207, 18207, 370, 1154, 1300, 1182, 14, 2990, 2235, 795, 2571, 8297, 3856, 1257, 1788, 1091, 6196, 2770, 1448, 411, 2003, 7776, 1592, 377, 16443, 442, 1574, 28, 1021, 2739, 1105, 620, 900, 615, 975, 635, 33, 14, 17235, 23398, 6745, 1930, 1018, 4698, 14981, 17235, 23398, 6745, 795, 19750, 4958, 11539, 1049, 1254, 649, 370, 479, 900, 768, 503, 330, 18207, 14678, 8931, 2227, 3037, 448, 720, 9931, 397, 7272, 1584, 16, 287, 87, 19290, 287, 3964, 309, 1477, 377, 479, 377, 615, 1525, 1349, 352, 10874, 1091, 28, 812, 7218, 3437, 87, 81, 14, 2593, 377, 860, 1579, 33, 3640, 920, 1682, 2012, 454, 263, 1141, 6745, 302, 73, 263, 1141, 6745, 624, 841, 1639, 6513, 4618, 368, 760, 5908, 91, 2139, 4083, 6725, 2091, 740, 5709, 920, 2872, 2371, 287, 87, 263, 1141, 6745, 2073, 479, 377, 1574, 28, 5553, 860, 532, 370, 479, 2227, 3037, 482, 932, 14, 18790, 1362, 287, 3964, 309, 4602, 1781, 287, 11083, 1141, 6745 ]
[ 1, 59, 8671, 55, 427, 17770, 55, 643, 43, 16903, 4441, 100, 37, 643, 259, 251, 50, 619, 11200, 55, 7833, 17770, 55, 1060, 4831, 5758, 16848, 1567, 14580, 4698, 14298, 1567, 17916, 1066, 16, 23, 2678, 16, 25, 968, 1060, 16, 5343, 3438, 3959, 619, 13521, 1154, 1248, 511, 16, 427, 580, 1869, 3288, 1245, 352, 1459, 3963, 873, 16, 17543, 1649, 3898, 1270, 1534, 1146, 16, 9245, 6091, 15524, 352, 1382, 1840, 706, 2429, 15524, 1421, 16, 24337, 2361, 3900, 1250, 15524, 1444, 16, 461, 6974, 1649, 3898, 1250, 15524, 7522, 16, 5343, 3438, 3813, 901, 856, 9364, 4576, 1431, 1787, 16, 8654, 1482, 1483, 2532, 786, 15524, 1905, 16, 1021, 2954, 15524, 1997, 16, 9688, 3633, 571, 2088, 1649, 3898, 1250, 15524, 2277, 16, 8984, 1362, 571, 2088, 1649, 3898, 4410, 15524, 17597, 16, 8185, 1608, 901, 1800, 16, 4845, 8404, 2561, 3462, 28, 4722, 5374, 1412, 1419, 1035, 388, 9160, 88, 8332, 2304, 20287, 279, 2366, 8332, 352, 1157, 2533, 2561, 1259, 879, 1883, 1735, 454, 738, 1602, 2766, 1748, 88, 1446, 16, 3291, 16, 4845, 8404, 511, 8714, 511, 28, 511, 5211, 511, 2202, 14, 901, 352, 993, 1198, 2561, 1259, 740, 1371, 1389, 619, 1188, 15524, 1351, 903, 2424, 1645, 16, 15337, 1523, 1756, 1574, 1838, 1659, 2514, 16, 2963, 16, 4845, 8404, 2340, 28, 5605, 1381, 740, 2707, 4084, 4389, 1829, 1039, 3437, 13725, 24345, 16, 461, 6974, 901, 2340, 665, 1556, 2773, 28, 18042, 1274, 1544, 4089, 27, 2465, 11085, 16859, 259, 229, 48, 528, 49, 4850, 3737, 388, 55, 11200, 48, 15582, 6767, 2693, 68, 6674, 4845, 11218, 13725, 564, 4084, 4389, 352, 2733, 2054, 795, 21895, 47, 28, 2442, 23003, 643, 259, 251, 50, 619, 11200, 55, 7833, 17770, 55, 8981, 259, 111, 37, 388, 16859, 9561, 48, 14, 2454, 577, 11200, 55, 7833, 17770, 55, 856, 18603, 503, 11227, 3737, 63, 2442, 23003, 643, 43, 16903, 4441, 100, 37, 388, 16859, 259, 227, 48, 24236, 100, 3737, 643, 259, 251, 50, 619, 11200, 55, 7833, 17770, 55, 1060, 4831, 5758, 16848, 14, 528, 14026, 46, 6226, 39, 17916, 9671, 2678, 25, 968, 3276, 1983, 5940, 1244, 643, 15620, 619, 1188, 15524, 14554, 6794, 1248, 16, 8404, 1613, 1524, 74, 507, 1039, 906, 14, 993, 1198, 2561, 1259, 740, 1371, 1389, 14, 511, 8714, 511, 14, 2424, 1645, 16, 2442, 23003, 4864, 253, 230, 4797, 9021, 1261, 619, 1188, 15524, 14554, 11069, 6091, 1567, 4797, 19763, 7867, 1686, 9671, 2678, 25, 968, 4864, 253, 230, 570, 6505, 2100, 10861, 14, 4086, 1869, 3288, 1245, 14, 1459, 3963, 2429, 15524, 1035, 2108, 4864, 253, 230, 16188, 1364, 1459, 3963, 11130, 3361, 352, 11130, 3361, 1162, 19, 4864, 253, 230, 9845, 733, 28, 11777, 3209, 688, 7369, 681, 464, 14, 8189, 7253, 528, 4195, 14, 10073, 4368, 4864, 253, 230, 9973, 2533, 28, 17916, 9671, 2678, 25, 968, 1567, 314, 4010, 2332, 2678, 25, 968, 4864, 253, 230, 1162, 418, 82, 5860, 2323, 4864, 253, 230, 4898, 28, 795, 4456, 42, 570, 5451, 6759, 427, 22293, 624, 6144, 7126, 643, 43, 16903, 21754, 4456, 619, 9561, 48, 619, 11200, 55, 7833, 17770, 55, 503, 11227, 3737, 519, 11227, 48, 619, 35, 3737, 427, 17770, 48, 388, 14261, 47, 528, 8337, 227, 55, 28, 511, 16, 4588, 2752, 1233, 656, 1747, 903, 2429, 15524, 1035, 2108, 7507, 17916, 9671, 2678, 25, 968, 28, 873, 16, 15824, 2050, 24337, 7014, 3898, 11130, 15524, 619, 1188, 15524, 14554, 28, 1146, 16, 528, 12229, 251, 3737, 795, 260, 106, 48, 427, 5451, 6759, 1689, 8800, 7833, 12694, 388, 6226, 22540, 7833, 6401, 760, 7659, 8981, 259, 111, 37, 388, 16859, 9561, 48, 28, 1421, 16, 10935, 15547, 50, 427, 22293, 528, 14261, 7197, 18693, 104, 37, 503, 18603, 528, 4850, 3737, 14, 619, 11200, 55, 7833, 17770, 55, 8981, 259, 111, 37, 388, 16859, 9561, 48, 7507, 6100, 7771, 17, 1670, 17, 5581, 7507, 2454, 60, 10158, 49, 17916, 9671, 2678, 25, 968, 7576, 1444, 16, 619, 11200, 55, 7833, 17770, 55, 503, 11227, 3737, 19138, 22655, 10935, 19727, 461, 19962, 47, 6496, 7833, 7126, 17883, 1274, 4720, 28, 1905, 16, 528, 12229, 251, 3737, 795, 260, 106, 48, 10935, 15547, 50, 503, 260, 106, 55, 619, 11200, 55, 7833, 17770, 55, 503, 11227, 3737, 19138, 22655, 10935, 19727, 461, 19962, 47, 6496, 14, 11218, 13725, 17916, 9671, 2678, 25, 968, 28, 1997, 16, 427, 22293, 519, 12229, 251, 37, 619, 11200, 55, 7833, 17770, 55, 8981, 259, 111, 37, 388, 16859, 9561, 48, 7507, 17532, 17, 1766, 17, 5581, 7507, 2454, 60, 10158, 49, 17916, 9671, 2678, 25, 968, 7576, 2277, 16, 5400, 2088, 7014, 3898, 1250, 15524, 8981, 259, 111, 37, 388, 16859, 9561, 48, 1158, 14, 17916, 9671, 2678, 25, 968, 28, 1800, 16, 15824, 2050, 19680, 1091, 7014, 3898, 4410, 15524, 14, 15705, 1434, 4410, 15524, 14, 2454, 577, 1188, 15524, 1035, 2108, 7576, 3291, 16, 528, 12229, 251, 3737, 795, 260, 106, 48, 13226, 10097, 519, 5451, 49, 461, 19962, 3737, 643, 259, 111, 37, 21171, 7833, 20907, 54, 519, 259, 235, 619, 11200, 55, 7833, 17770, 55, 8981, 259, 111, 37, 388, 16859, 9561, 48, 28, 2442, 23003, 9318, 17770, 48, 19138, 225, 47, 24236, 111, 22839, 5451, 48, 1162, 19, 4845, 1162, 8616, 3963, 11130, 3361, 342, 1459, 3963, 1250, 3361, 2424, 1148, 953, 761, 16, 11130, 3361, 1162, 19, 442, 415, 2515, 2112, 1148, 953, 564, 1659, 1250, 3361, 14, 3997, 1222, 14, 3997, 1222, 14, 1659, 2103, 644, 2559, 2543, 352, 1722, 3399, 692, 1334, 16, 4845, 7875, 3416, 2283, 1550, 790, 2013, 14, 2139, 4083, 16, 8616, 3963, 1706, 3399, 489, 436, 1655, 16, 4845, 388, 563, 2907, 28, 16459, 3075, 1667, 1621, 14, 24337, 637, 11402, 1250, 3361, 14737, 6957, 370, 2986, 14, 21180, 572, 11402, 14737, 6957, 14, 2024, 1455, 2307, 1050, 2356, 2424, 3540, 16, 4845, 10683, 2376, 3848, 1268, 761, 14, 3590, 1248, 352, 343, 8683, 442, 4576, 1364, 11069, 1973, 16, 4845, 2899, 1146, 6091, 1430, 1924, 28, 13403, 2706, 14, 21350, 1678, 14, 2073, 1069, 2266, 16, 643, 43, 16903, 4492, 231, 28, 1477, 14298, 16, 16483, 17916, 9671, 2678, 25, 968, 1567, 12415 ]
[ 1, 22, 16, 14302, 8385, 16087, 8461, 11810, 10, 6526, 8461, 685, 11, 342, 397, 2116, 2136, 1239, 804, 1110, 1035, 646, 2174, 3970, 368, 325, 967, 463, 2349, 14, 454, 415, 1200, 5316, 16, 16087, 8461, 11810, 6926, 879, 2114, 454, 955, 14, 377, 2259, 4658, 454, 1200, 5316, 14, 1708, 12134, 6532, 572, 1200, 5316, 352, 1940, 1053, 342, 4224, 572, 1902, 3104, 16, 3623, 2764, 901, 2500, 795, 16, 461, 16, 461, 878, 75, 3964, 2786, 14, 436, 757, 1510, 638, 838, 2798, 11, 1153, 940, 572, 21079, 8461, 685, 370, 1562, 2526, 615, 1244, 1915, 368, 993, 1817, 16, 704, 2615, 448, 2080, 2005, 442, 28, 21079, 8461, 685, 370, 1391, 454, 804, 1459, 2136, 6896, 448, 2428, 572, 940, 2388, 223, 779, 16687, 1706, 352, 571, 1479, 1376, 1419, 2380, 368, 1706, 3104, 9292, 4127, 3382, 13468, 3099, 16, 704, 461, 2364, 644, 2428, 572, 1637, 934, 740, 21079, 8461, 685, 342, 879, 3574, 28, 19, 17, 511, 16, 5900, 16, 1544, 1459, 377, 2136, 638, 15807, 314, 14, 24, 340, 19451, 2134, 1158, 4463, 78, 685, 448, 1637, 934, 1091, 3104, 9292, 4127, 3382, 13468, 3099, 1071, 397, 1154, 2129, 953, 1601, 342, 923, 3589, 610, 1833, 1522, 4430, 457, 368, 1706, 28, 22469, 15403, 646, 9456, 571, 8731, 1706, 352, 1567, 1479, 1376, 2380, 13468, 16, 10242, 521, 695, 847, 368, 660, 3033, 847, 14, 1637, 934, 1244, 1170, 368, 21079, 8461, 685, 442, 1153, 940, 906, 2367, 2088, 748, 14, 2179, 1745, 454, 738, 571, 7498, 1735, 4502, 14, 3367, 86, 14, 22994, 352, 797, 1735, 728, 5431, 1524, 3124, 14, 4965, 646, 1153, 1719, 368, 415, 1892, 1608, 2174, 2259, 1868, 901, 14, 1021, 16, 760, 8017, 448, 2080, 2005, 442, 28, 790, 993, 1817, 582, 2836, 352, 3104, 8792, 582, 2469, 370, 2294, 1270, 1079, 2743, 1268, 21079, 8461, 685, 16, 5431, 1524, 4042, 14, 13580, 22998, 352, 415, 2569, 646, 638, 10146, 1642, 11, 448, 820, 2663, 3253, 21079, 8461, 685, 482, 342, 397, 592, 6212, 16147, 368, 646, 7498, 16, 5250, 509, 14, 489, 646, 572, 1973, 368, 415, 1892, 1608, 14, 1576, 720, 2174, 2259, 2136, 3010, 9083, 638, 85, 872, 2614, 2136, 11, 436, 445, 448, 2013, 1050, 28, 21079, 8461, 685, 342, 1430, 1924, 1079, 1257, 368, 1302, 1334, 4462, 1376, 2116, 454, 3104, 352, 442, 1239, 804, 489, 1460, 1919, 551, 1319, 567, 415, 1726, 728, 1403, 368, 3104, 16, 6701, 1726, 3278, 615, 1726, 720, 1987, 29, 637, 1726, 897, 11303, 615, 1726, 4233, 29, 637, 1735, 897, 4829, 615, 1735, 766, 7498, 16, 1158, 4463, 78, 685, 442, 1244, 489, 397, 1460, 1919, 352, 442, 12032, 12134, 6532, 615, 415, 1154, 837, 14, 1358, 4634, 728, 1403, 454, 3104, 2397, 3485, 1268, 2116, 611, 9217, 638, 19, 15, 4175, 298, 6212, 91, 69, 2411, 82, 15670, 7439, 14, 511, 427, 1061, 11708, 8461, 1084, 299, 69, 1446, 2134, 5553, 509, 14, 611, 9217, 370, 479, 1944, 804, 21079, 8461, 685, 352, 2428, 1883, 1735, 1244, 1170, 450, 2009, 1434, 1858, 509, 551, 2373, 1503, 1244, 1430, 572, 611, 9217, 16, 6100, 1230, 14, 436, 445, 448, 4552, 1100, 768, 28, 21079, 8461, 685, 342, 592, 6212, 16147, 368, 646, 7498, 14, 646, 4233, 1868, 352, 415, 923, 11612, 2672, 1979, 4480, 342, 397, 422, 91, 4692, 286, 6212, 16147, 2506, 761, 551, 3485, 2136, 16, 8238, 5009, 1482, 1868, 901, 21079, 8461, 685, 638, 6759, 20, 5643, 6759, 20, 5594, 342, 397, 263, 1061, 316, 3398, 13841, 1361, 2136, 2126, 3353, 757, 1510, 368, 13499, 263, 1061, 316, 3398, 13841, 1361, 1327, 3514, 14, 638, 9373, 1420, 1267, 3589, 298, 11, 370, 1388, 1460, 2174, 2036, 342, 6495, 14, 1674, 16, 3393, 814, 2511, 1400, 14, 21079, 8461, 685, 342, 397, 2116, 2136, 377, 2787, 14, 370, 7194, 223, 313, 3559, 5273, 16, 1196, 866, 644, 3624, 2179, 342, 704, 3436, 81, 37, 352, 4711, 644, 13440, 342, 704, 1800, 21, 81, 37, 16, 6575, 370, 1391, 368, 1483, 1306, 2990, 454, 2174, 2036, 2399, 21079, 8461, 685, 370, 1146, 4267, 5429, 5530, 3010, 1520, 551, 3087, 2036, 3009, 16, 5089, 342, 4053, 19, 14, 511, 2828, 14, 352, 511, 2332, 80, 79, 16, 20014, 2036, 21079, 8461, 685, 370, 11494, 1534, 2069, 2252, 489, 274, 315, 1068, 14, 6926, 6191, 551, 454, 955, 14, 6926, 1182, 551, 454, 3991, 352, 6926, 879, 1182, 454, 223, 313, 3559, 16, 17673, 489, 14840, 644, 511, 2993, 79, 638, 6675, 1459, 2293, 11, 454, 3311, 2136, 551, 4435, 81, 37, 14, 21079, 8461, 685, 370, 14840, 644, 2174, 2036, 454, 955, 342, 1421, 14, 22, 16, 1800, 15, 27, 503, 16, 6815, 3485, 1110, 1400, 14, 21079, 8461, 685, 377, 479, 940, 2088, 342, 397, 422, 91, 4692, 286, 6212, 16147, 14, 454, 3104, 489, 14840, 644, 879, 3574, 638, 18, 14, 14404, 704, 314, 14, 19, 2548, 17, 78, 5594, 21079, 8461, 685, 448, 2428, 2808, 1587, 2107, 415, 1302, 1334, 1244, 1170, 368, 3104, 638, 77, 1120, 15403, 1244, 2224, 14, 2428, 7498, 687, 2134, 3393, 1154, 479, 993, 1817, 14, 370, 646, 814, 3058, 14840, 644, 21079, 8461, 685, 551, 415, 1726, 728, 1403, 368, 3104, 16, 461, 2364, 644, 368, 21079, 8461, 685, 442, 2246, 3368, 1541, 4078, 644, 1244, 1430, 572, 458, 16, 3895, 370, 940, 2388, 5398, 4552, 21079, 8461, 685, 454, 1726, 14, 21079, 8461, 685, 500, 442, 453, 4627, 441, 6532, 665, 3288, 1245, 16, 11443, 3104, 8792, 14, 21079, 8461, 685, 897, 442, 2743, 1268, 551, 2389, 10676, 14, 17445, 29, 415, 993, 1817, 3539, 6491, 14, 5827, 6491, 728, 16, 611, 9217, 704, 53, 6859, 1970, 309, 7860, 2808, 3945, 2202, 837, 1388, 454, 1302, 1334, 814, 3058, 1430, 1244, 572, 21079, 8461, 685, 16, 388, 1051, 644, 1430, 1244, 572, 21079, 8461, 685, 649, 2639, 1562, 2526, 368, 415, 592, 6212, 16147, 728, 454, 3104, 482, 28, 299, 7883, 298, 14, 411, 7795, 3641, 298, 298, 16, 5089, 342, 415, 592, 6212, 16147, 2252, 740, 2428, 1562, 2526, 615, 646, 2743, 1268, 611, 9217, 704, 4672, 78, 1970, 309, 7860, 16, 611, 7883, 298, 342, 397, 4272 ]
[ 1, 15508, 975, 9327, 3746, 5044, 8174, 648, 8174, 1306, 1268, 489, 975, 2592, 352, 3902, 740, 1154, 479, 368, 10669, 1834, 1819, 87, 1146, 2602, 285, 309, 5727, 979, 1187, 442, 920, 3692, 2449, 646, 1183, 450, 12855, 6954, 14, 2872, 2371, 21146, 1562, 4881, 1447, 287, 3964, 309, 16825, 1849, 2776, 2075, 368, 1108, 2630, 2136, 2776, 2075, 448, 720, 2632, 2129, 564, 571, 10678, 607, 16, 6848, 411, 2003, 7776, 720, 82, 1689, 1589, 1834, 1797, 5034, 87, 377, 1287, 821, 442, 2125, 607, 8608, 6103, 4144, 1212, 1129, 397, 803, 16024, 1905, 2804, 24881, 16730, 263, 1141, 6745, 3786, 1833, 953, 2202, 1682, 5442, 3271, 8179, 368, 9659, 2664, 4234, 388, 1564, 14, 1689, 1589, 1834, 1797, 5034, 87, 582, 768, 2145, 5799, 695, 1037, 3551, 1856, 82, 287, 87, 7229, 1834, 75, 1269, 370, 397, 2445, 3539, 1443, 1534, 482, 932, 489, 2644, 2100, 14, 3786, 6848, 2012, 1376, 4189, 6163, 3932, 287, 3964, 309, 21111, 16, 9097, 1592, 377, 837, 1383, 1550, 724, 4827, 15025, 4082, 5070, 368, 1689, 835, 286, 87, 10898, 370, 897, 442, 1148, 953, 454, 1854, 2892, 1181, 377, 16, 2660, 2653, 411, 745, 651, 1211, 290, 566, 3342, 572, 3556, 450, 534, 607, 572, 1639, 3099, 7802, 2776, 2075, 564, 5800, 727, 14, 5985, 4201, 13248, 1280, 757, 3786, 6848, 632, 1412, 1783, 2533, 3220, 2561, 3112, 1269, 879, 2088, 3224, 768, 1525, 2417, 342, 436, 1182, 6848, 1181, 1682, 740, 1783, 2533, 856, 75, 296, 345, 2235, 572, 352, 1574, 3902, 571, 860, 409, 1327, 1448, 1675, 951, 1448, 33, 14, 703, 4087, 287, 3964, 309, 1682, 2202, 15522, 4480, 728, 2373, 489, 646, 1645, 691, 5704, 632, 3127, 1483, 1371, 2071, 2868, 3839, 352, 2868, 3839, 368, 1834, 1491, 1689, 4614, 16, 920, 2209, 1447, 287, 3964, 309, 3425, 900, 1838, 615, 1689, 1589, 1834, 1797, 5034, 87, 14, 1829, 1039, 551, 12237, 12430, 906, 1988, 509, 14, 1682, 263, 1141, 6745, 15522, 287, 3964, 309, 299, 2669, 681, 55, 8176, 50, 4293, 370, 993, 646, 900, 768, 409, 837, 1383, 615, 1105, 1183, 368, 436, 1165, 551, 9999, 4402, 368, 532, 377, 33, 920, 564, 3786, 1833, 953, 740, 223, 315, 4373, 1689, 1589, 1834, 1797, 5034, 87, 2362, 11051, 337, 1405, 399, 2092, 454, 7262, 14, 2910, 740, 5031, 5434, 1905, 2833, 13430, 3964, 3786, 6848, 24423, 4516, 1079, 1257, 691, 803, 377, 479, 1941, 1443, 1345, 934, 450, 436, 377, 3802, 691, 1520, 2224, 4788, 16, 18790, 1362, 411, 24650, 86, 287, 3964, 309, 1689, 1589, 1834, 1797, 5034, 87, 448, 8259, 951, 16383, 454, 786, 657, 1834, 1797, 78, 566, 12733, 5034, 506, 448, 2706, 720, 1037, 509, 16024, 920, 2873, 3416, 1833, 953, 5031, 5434, 18790, 1362, 411, 24650, 68, 3557, 2340, 287, 3964, 309, 760, 2898, 532, 615, 786, 436, 728, 564, 1382, 2085, 1039, 368, 1829, 1039, 656, 532, 897, 1919, 2202, 1682, 1005, 1689, 1589, 1834, 1797, 5034, 87, 2362, 582, 1523, 5354, 1745, 489, 795, 4716, 87, 1834, 424, 1797, 14, 920, 3786, 1833, 953, 740, 223, 315, 4373, 1833, 953, 3786, 6848, 740, 3769, 1685, 6207, 377, 450, 1689, 1589, 1834, 1797, 5034, 87, 1280, 734, 7780, 80, 572, 1639, 1682, 287, 3964, 309, 2307, 20560, 4735, 18556, 28, 2799, 1856, 377, 2915, 620, 1108, 14, 2202, 1682, 702, 9489, 3786, 287, 87, 5250, 509, 620, 445, 2129, 19751, 352, 1287, 20062, 768, 409, 1079, 985, 615, 352, 607, 397, 803, 5844, 20033, 11118, 1618, 67, 287, 3964, 309, 5145, 932, 1522, 436, 2674, 534, 3474, 607, 3490, 10542, 701, 1569, 3671, 436, 3671, 6869, 16, 287, 3964, 309, 263, 1141, 6745, 20838, 15423, 411, 745, 651, 2302, 1576, 906, 1988, 1035, 12119, 1201, 14, 1540, 820, 19745, 11457, 632, 2532, 1419, 442, 643, 1491, 1834, 298, 733, 572, 3477, 846, 397, 920, 1829, 837, 16, 274, 6072, 2620, 685, 4116, 285, 309, 1689, 1589, 1834, 1797, 5034, 87, 1424, 2868, 589, 489, 397, 2315, 3538, 5577, 16024, 2533, 5031, 5434, 285, 309, 263, 1141, 6745, 15522, 24423, 4516, 1079, 1257, 691, 803, 377, 479, 1941, 1443, 1345, 934, 450, 436, 377, 3802, 691, 1520, 2224, 4788, 16, 4086, 1869, 1833, 953, 3769, 1685, 1689, 1589, 1834, 1797, 5034, 87, 1424, 2868, 589, 489, 397, 2315, 3538, 5577, 16024, 1412, 1345, 287, 3964, 309, 1869, 551, 1303, 1783, 2533, 2561, 1259, 1477, 445, 1482, 572, 7092, 1915, 768, 1689, 835, 1347, 2395, 483, 720, 1987, 20869, 867, 920, 9489, 411, 464, 740, 287, 3964, 309, 13711, 1053, 656, 4993, 4224, 14, 620, 448, 1801, 442, 8093, 523, 19261, 14, 397, 454, 6736, 1434, 2409, 377, 479, 7337, 3474, 1902, 20180, 2214, 16024, 920, 1814, 287, 3964, 309, 920, 3786, 21146, 5031, 5434, 9128, 1839, 4459, 4936, 1257, 342, 3638, 2925, 3257, 368, 856, 75, 414, 74, 1469, 377, 1507, 33, 2005, 11984, 287, 685, 81, 12083, 1940, 1053, 1689, 1589, 1834, 1797, 5034, 87, 551, 1755, 795, 560, 15819, 1689, 835, 286, 87, 551, 4516, 4402, 14, 299, 9931, 849, 271, 68, 1798, 81, 411, 2003, 7776, 15522, 795, 2263, 665, 2776, 2209, 14, 15271, 2209, 352, 2209, 2136, 368, 15271, 2209, 352, 646, 3438, 1268, 2480, 16782, 352, 359, 945, 303, 554, 1682, 2202, 1682, 2202, 1682, 1682, 2202, 1682, 6207, 4110, 7539, 1562, 2526, 637, 2480, 2409, 368, 1312, 75, 506, 1219, 9172, 12999, 91, 2095, 14, 1233, 706, 368, 733, 3957, 8376, 69, 14, 5873, 1363, 566, 27, 4715, 685, 274, 685, 11318, 2009, 1689, 1589, 1834, 1797, 5034, 87, 377, 979, 589, 3524, 665, 458, 564, 1502, 1245, 9870, 18790, 263, 616, 287, 3964, 309, 511, 10159, 14939, 3171, 993, 646, 448, 615, 1801, 10669, 21327, 483, 91, 483, 14, 436, 897, 2592, 1706, 14, 564, 1157, 757, 14, 287, 3964, 309, 287, 87, 2602, 285, 309, 285, 309, 263, 1141, 6745, 1592, 377, 479, 5111, 572, 1639, 1838, 1659, 2514, 482, 409, 16, 3738, 4116, 285, 309, 1689, 1589, 1834, 1797, 5034, 87, 352, 1522, 436, 1231, 632, 24400, 76, 835, 15082, 564, 3467, 8508, 1035, 2805, 14, 1682, 2202, 1682, 2202, 1682, 1682, 2202, 1682, 6848, 3319, 3539, 285, 309, 18119, 23074, 1269, 1327, 691 ]