Datasets:
SmallDoge
/
decay_dataset_processed

Dataset card Data Studio Files
xet
Community
1
Search is not available for this dataset
input_ids
listlengths
1
2.05k
attention_mask
listlengths
1
2.05k
[ 2004, 1040, 3767, 538, 3848, 476, 1691, 267, 835, 9060, 4906, 693, 519, 3349, 540, 1776, 1912, 541, 1047, 324, 269, 901, 4259, 1058, 2062, 342, 7568, 519, 5304, 602, 789, 1058, 581, 5423, 585, 2901, 513, 1713, 2680, 610, 513, 1713, 2262, 689, 4906, 563, 763, 682, 794, 776, 1257, 9631, 1080, 18627, 476, 273, 998, 476, 277, 269, 901, 522, 3939, 568, 25031, 607, 621, 11226, 538, 1620, 519, 5697, 1257, 779, 2796, 269, 769, 891, 18627, 4906, 12115, 513, 812, 609, 968, 629, 7538, 11926, 540, 1010, 1560, 892, 630, 341, 269, 476, 273, 1040, 4906, 685, 7067, 593, 519, 590, 30117, 568, 513, 556, 24593, 2590, 3390, 1063, 4906, 543, 519, 1912, 541, 1047, 525, 269, 2290, 12034, 713, 8082, 5129, 856, 538, 3848, 476, 1724, 950, 4906, 646, 1023, 519, 18761, 543, 7745, 4807, 593, 519, 590, 30117, 1369, 519, 31263, 4084, 6821, 269, 4906, 3096, 513, 2147, 7778, 547, 19472, 7067, 593, 519, 590, 30117, 538, 1312, 11271, 269, 4906, 685, 3903, 547, 12115, 593, 519, 590, 30117, 538, 4395, 540, 519, 1912, 541, 1047, 525, 543, 1369, 519, 1753, 540, 513, 1912, 541, 1047, 324, 1131, 723, 2813, 8082, 538, 519, 4055, 269, 769, 713, 2796, 4906, 14753, 1312, 547, 519, 12129, 14538, 543, 519, 7594, 779, 3984, 563, 1607, 1257, 568, 1031, 585, 519, 700, 1254, 776, 5729, 595, 593, 4864, 476, 2641, 267, 476, 1001, 277, 563, 1607, 8574, 11438, 721, 883, 513, 31263, 4084, 1141, 4906, 568, 3450, 269, 1635, 713, 1448, 538, 19279, 779, 22258, 2239, 267, 4906, 685, 10639, 538, 519, 3148, 729, 3964, 269, 4906, 1185, 5340, 1896, 10565, 12115, 902, 543, 608, 528, 322, 3359, 267, 10480, 519, 2947, 8536, 267, 543, 6026, 24567, 24921, 538, 4872, 543, 14252, 269, 4906, 6763, 543, 11414, 267, 543, 1346, 5275, 7067, 723, 4553, 1864, 563, 763, 8574, 14405, 519, 5304, 883, 513, 4090, 950, 789, 616, 26164, 513, 10565, 957, 540, 8296, 543, 7067, 269, 634, 22258, 6386, 1034, 1419, 9446, 1346, 5275, 7067, 607, 10912, 856, 543, 14053, 4906, 685, 3007, 269, 901, 267, 2705, 267, 568, 513, 1360, 1114, 7237, 269, 634, 562, 600, 6804, 4807, 5526, 547, 723, 9444, 1767, 6862, 2944, 4376, 547, 2721, 4906, 685, 3007, 269, 4906, 12034, 519, 4807, 267, 814, 8296, 593, 1200, 267, 543, 10301, 856, 547, 1200, 563, 763, 4807, 1185, 1044, 18761, 543, 524, 23774, 1194, 267, 10010, 538, 1169, 1847, 538, 1169, 4090, 269, 3973, 267, 538, 513, 2262, 1200, 1158, 568, 4957, 269, 19279, 5359, 267, 968, 2691, 646, 9788, 1010, 3946, 593, 1200, 267, 5612, 1352, 11542, 909, 2786, 543, 3459, 9299, 2358, 2696, 892, 630, 341, 269, 476, 1724, 1040, 2701, 729, 11303, 676, 1200, 2828, 543, 2146, 540, 5132, 269, 2290, 1131, 1589, 3025, 1131, 556, 329, 4069, 609, 1200, 267, 2943, 513, 5639, 540, 1843, 542, 7125, 856, 563, 1607, 1257, 568, 1031, 585, 519, 700, 1254, 776, 5729, 595, 593, 4864, 476, 1691, 267, 476, 1001, 277, 563, 2171, 2661, 538, 606, 5736, 538, 799, 649, 1205, 513, 3232, 9570, 540, 2182, 3377, 4535, 538, 23998, 267, 6498, 543, 5208, 269, 932, 11699, 543, 3909, 3401, 3406, 585, 1913, 267, 543, 2950, 1279, 585, 2962, 269, 1684, 649, 723, 513, 22258, 2462, 2614, 585, 713, 4090, 888, 2005, 568, 2653, 547, 840, 778, 519, 16990, 4906, 1107, 4906, 945, 646, 1023, 267, 14560, 267, 635, 325, 2176, 267, 20555, 543, 1964, 2803, 269, 634, 1966, 568, 602, 519, 22258, 1650, 568, 811, 982, 835, 540, 513, 13594, 28962, 543, 4630, 4094, 1242, 16990, 4906, 269, 2368, 540, 4906, 685, 1913, 771, 638, 2884, 721, 269, 634, 31112, 568, 547, 3802, 2476, 689, 519, 2352, 1913, 269, 1809, 267, 952, 835, 13821, 547, 605, 8010, 606, 8076, 4605, 540, 4906, 267, 1287, 835, 1590, 581, 5423, 547, 3180, 538, 8082, 519, 1434, 543, 8716, 1913, 609, 519, 2352, 3283, 563, 1607, 682, 794, 776, 8574, 14405, 721, 883, 1913, 540, 3595, 267, 2566, 543, 5258, 3885, 1107, 540, 695, 13593, 4708, 543, 28823, 15420, 269, 1452, 616, 2352, 543, 796, 3553, 339, 1782, 1913, 689, 4906, 269, 769, 19279, 779, 22258, 2272, 267, 835, 7959, 513, 3395, 8515, 689, 519, 4090, 4906, 267, 8834, 543, 3627, 2097, 1524, 519, 6778, 540, 3690, 14808, 4851, 630, 299, 8123, 476, 280, 281, 4391, 268, 6246, 1070, 3056, 909, 547, 519, 4090, 538, 938, 8574, 269, 2290, 9060, 4906, 5356, 1913, 540, 27790, 593, 519, 5108, 602, 11542, 1354, 1864, 543, 4412, 4854, 1913, 540, 530, 4141, 585, 4872, 267, 1912, 541, 1047, 525, 543, 17864, 630, 299, 8123, 476, 280, 281, 275, 282, 476, 1015, 281, 1724, 268, 1626, 282, 476, 1556, 281, 3066, 267, 476, 4391, 268, 7367, 1040, 1452, 2178, 967, 1112, 906, 1305, 519, 2796, 585, 4906, 685, 2352, 1913, 649, 7237, 538, 519, 17122, 1257, 563, 1607, 1257, 568, 1031, 585, 519, 700, 1254, 776, 5729, 595, 593, 4864, 476, 278, 267, 476, 1001, 277, 563, 763, 4999, 540, 891, 15102, 568, 4277, 269, 2311, 1101, 2542, 267, 1079, 9583, 3982, 6835, 616, 1373, 4843, 269, 12411, 525, 476, 3953, 998, 476, 4097, 4051, 519, 20785, 547, 6133, 782, 789, 723, 543, 11654, 519, 4652, 9430, 14951, 538, 13140, 269, 769, 513, 10565, 6521, 538, 5048, 267, 18627, 476, 3374, 998, 476, 2412, 735, 601, 519, 20785, 547, 581, 5423, 585, 519, 12312, 540, 2494, 779, 4947, 269, 16340, 2287, 713, 2542, 547, 1331, 3606, 18627, 1354, 543, 1310, 538, 1931, 547, 2736, 713, 851, 540, 3848, 476, 1321, 883, 1079, 811, 21044, 6810, 4667, 9266, 563, 763, 1101, 21044, 3296, 1131, 4051, 519, 20785, 547, 6133, 782, 789, 723, 543, 16436, 519, 5304, 547, 5873, 4906, 685, 3450, 593, 5855, 269, 12411, 525, 476, 2420, 998, 476, 4029, 1131, 16436, 519, 5304, 547, 5873, 4906, 685, 3450, 593, 2696, 779, 11865, 543, 519, 1289, 547, 3343, 2696, 779, 10806, 2864, 982, 547, 29677, 1018, 789, 3180, 538, 741, 3946, 269, 901, 8574, 1131, 4196, 607, 513, 2067, 2796, 585, 18627, 476, 3953, 998, 476, 4097, 269, 634, 2034, 21044, 3296, 1131, 581, 14235, 476, 3374, 998, 476, 4366, 269, 901, 3296, 1131, 2253, 609, 4906, 685, 1289, 538, 18627, 476, 3374, 998, 476, 2412, 547, 581, 5423, 269, 12411, 525, 476, 5655, 998, 476, 4366, 7866, 8834, 779, 2243, 543, 4906, 685, 3210, 267, 799, 5587, 5809, 4906, 685, 1289, 547, 7227, 538, 20772, 543, 5132, 6888, 269, 1452, 3606, 18627, 2417, 21592, 519, 1289, 585, 519, 22063, 547, 711, 1152, 581, 5423, 585, 519, 4487, 779, 4947, 267, 855, 849, 581, 513, 12403, 731, 540, 519, 4487, 779, 16858, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8502, 267, 10230, 7744, 4255, 1223, 581, 3144, 693, 1753, 610, 693, 606, 4879, 8998, 282, 3006, 1312, 1107, 1082, 14540, 946, 606, 4550, 19295, 908, 1505, 602, 3340, 10457, 547, 1491, 1776, 1449, 693, 519, 4879, 8998, 538, 1268, 269, 1403, 519, 1753, 6060, 543, 519, 538, 16512, 6060, 616, 3552, 569, 1114, 267, 1287, 15372, 30518, 1376, 547, 8258, 780, 763, 8653, 540, 1022, 10230, 2702, 1449, 596, 616, 4280, 547, 1491, 786, 4096, 593, 1896, 2188, 1519, 875, 1082, 824, 4255, 596, 616, 2921, 593, 519, 1554, 269, 1717, 267, 1034, 4255, 2063, 827, 476, 1789, 547, 476, 2412, 3764, 543, 723, 827, 476, 1789, 547, 476, 2412, 2055, 780, 763, 2055, 1031, 538, 10230, 2702, 4255, 666, 581, 9286, 883, 2185, 2596, 2010, 1384, 1892, 31592, 19106, 1107, 1452, 2055, 4125, 519, 2596, 3741, 540, 12980, 1519, 1840, 267, 12408, 267, 8691, 267, 6498, 267, 21159, 267, 12753, 267, 8454, 543, 17447, 269, 1677, 6060, 1134, 593, 891, 2055, 267, 596, 991, 547, 1118, 2656, 543, 4977, 9273, 1510, 1210, 513, 9498, 780, 1892, 31592, 16759, 301, 10179, 673, 16759, 568, 1898, 538, 1082, 2930, 6009, 1141, 596, 991, 547, 3533, 543, 8308, 1118, 9193, 540, 1570, 9424, 267, 3092, 269, 1452, 2055, 2154, 596, 547, 1118, 2656, 9193, 540, 519, 4267, 547, 3551, 10230, 2055, 269, 1411, 1058, 711, 3801, 547, 5173, 519, 4267, 282, 713, 786, 1491, 909, 1932, 1454, 942, 543, 2061, 596, 689, 16460, 2614, 2055, 547, 1205, 513, 1434, 6060, 780, 1892, 31592, 7744, 1107, 1452, 2055, 1449, 707, 7744, 2702, 2864, 982, 707, 2702, 547, 798, 9273, 269, 769, 824, 1913, 267, 596, 991, 547, 960, 856, 875, 547, 1205, 519, 2626, 2864, 982, 3274, 1373, 5143, 1018, 9273, 547, 4019, 269, 1358, 2141, 1331, 930, 1297, 3126, 2055, 1141, 596, 991, 547, 960, 856, 799, 1297, 610, 2338, 616, 7508, 689, 519, 3126, 269, 1358, 849, 1331, 1257, 2861, 2055, 1141, 513, 6310, 1966, 568, 15054, 538, 1913, 543, 707, 4305, 568, 547, 4019, 519, 2556, 7954, 547, 1265, 519, 2626, 780, 1892, 4578, 7664, 1107, 4107, 2359, 543, 19217, 800, 6009, 2154, 596, 547, 4612, 1239, 4843, 538, 12125, 267, 7515, 543, 11708, 538, 1931, 547, 1118, 1554, 3562, 6377, 3664, 269, 1452, 4255, 4122, 946, 2650, 12125, 267, 1899, 11708, 267, 14649, 13807, 1824, 543, 7515, 540, 1239, 799, 596, 991, 547, 4612, 547, 2626, 519, 2055, 269, 634, 811, 1950, 2055, 949, 1397, 519, 1239, 538, 835, 3898, 630, 7945, 607, 513, 3349, 264, 543, 513, 15410, 540, 713, 1239, 538, 1776, 3898, 630, 7945, 607, 513, 2650, 5750, 1040, 1677, 2626, 519, 2055, 267, 596, 991, 547, 581, 2111, 547, 3444, 3146, 12401, 891, 1079, 2609, 25401, 780, 1607, 2376, 814, 1044, 2966, 865, 602, 621, 568, 4443, 585, 596, 547, 26821, 519, 2127, 1141, 596, 1745, 602, 596, 616, 4617, 652, 267, 4758, 596, 519, 6574, 4324, 538, 519, 20125, 942, 269, 1924, 267, 1142, 1449, 3568, 811, 2055, 540, 1142, 1826, 982, 596, 1131, 1205, 538, 513, 1483, 1449, 780, 2005, 849, 5849, 602, 596, 4309, 5021, 4598, 547, 607, 2647, 513, 3099, 540, 2055, 6163, 543, 2010, 607, 2009, 269, 898, 779, 1271, 547, 3314, 602, 513, 1483, 1449, 786, 2270, 513, 7848, 540, 2243, 2010, 780, 1012, 4208, 1684, 14146, 619, 2422, 1452, 18873, 2496, 20329, 6248, 4255, 723, 513, 1279, 1686, 540, 1382, 3297, 873, 269, 589, 2178, 9756, 1063, 2773, 593, 891, 4255, 543, 2773, 538, 519, 9036, 814, 3366, 547, 3549, 782, 936, 519, 1158, 10115, 538, 873, 607, 513, 2629, 851, 540, 741, 19684, 1184, 780, 6624, 12820, 991, 547, 917, 602, 596, 723, 513, 4396, 5748, 540, 2596, 6310, 1983, 780, 4322, 1983, 630, 20412, 908, 21159, 267, 12753, 267, 8454, 267, 7443, 267, 8907, 543, 865, 593, 264, 616, 2629, 538, 3592, 1022, 1858, 540, 1870, 780, 32715, 619, 946, 10230, 2702, 4255, 5097, 1317, 540, 1384, 1892, 4256, 8810, 3950, 2594, 693, 10834, 9036, 2773, 454, 1892, 4256, 946, 540, 6310, 1983, 602, 616, 4143, 547, 519, 2816, 596, 2461, 7311, 585, 454, 1892, 634, 1249, 602, 891, 4255, 616, 3833, 4023, 538, 2489, 454, 1892, 1358, 2461, 1759, 593, 4986, 855, 707, 6151, 2702, 543, 2259, 692, 2690, 891, 4128, 543, 811, 267, 1082, 12820, 1256, 2161, 602, 789, 1871, 891, 19038, 3363, 4255, 811, 982, 6280, 5232, 780, 4467, 11952, 15313, 619, 917, 602, 741, 1007, 554, 2231, 4465, 1406, 8209, 723, 513, 1390, 4308, 540, 2872, 610, 2816, 10391, 1702, 269, 2334, 779, 1018, 2501, 609, 1995, 269, 634, 1883, 585, 873, 568, 547, 3442, 23078, 945, 723, 519, 13210, 602, 1450, 873, 547, 3082, 547, 519, 1604, 543, 4584, 909, 519, 1983, 543, 1702, 789, 991, 780, 4467, 3966, 625, 616, 5097, 5461, 538, 707, 9787, 540, 519, 9238, 269, 1358, 616, 849, 3168, 693, 875, 3533, 596, 666, 960, 896, 2604, 269, 901, 4990, 540, 12980, 1058, 581, 519, 2186, 596, 666, 798, 3533, 543, 8308, 8164, 621, 568, 2877, 780, 1012, 1548, 24439, 31592, 31727, 18873, 5668, 27701, 2496, 301, 10179, 673, 2702, 4255, 616, 1419, 519, 1034, 2352, 19038, 3363, 1449, 1826, 585, 1082, 10457, 269, 901, 568, 585, 513, 1906, 1883, 4128, 799, 649, 3580, 7291, 1934, 1384, 2162, 5384, 23423, 692, 4002, 3328, 267, 596, 3622, 723, 1063, 476, 3393, 7643, 543, 476, 273, 3764, 547, 2626, 1142, 2243, 780, 4263, 519, 2539, 1439, 540, 602, 4336, 267, 602, 779, 2731, 9157, 269, 1703, 616, 1082, 4255, 538, 799, 1818, 621, 547, 519, 1439, 568, 513, 9028, 538, 3294, 780, 16352, 519, 2702, 543, 6015, 547, 581, 2111, 547, 4612, 519, 1239, 267, 6430, 1018, 2115, 547, 581, 2944, 543, 1287, 1685, 1346, 4238, 3533, 568, 4101, 267, 865, 2259, 568, 1898, 269, 1284, 4363, 519, 10230, 2259, 15004, 689, 16763, 14818, 7093, 335, 780, 2162, 13038, 15051, 692, 6624, 2055, 4465, 1406, 723, 513, 3551, 2626, 269, 1411, 4465, 1406, 267, 585, 1383, 267, 1152, 723, 547, 9062, 1079, 2338, 547, 3914, 519, 3070, 780, 1607, 568, 606, 1419, 27492, 331, 10541, 5578, 602, 1152, 2501, 689, 2259, 269, 1411, 1522, 581, 513, 627, 11170, 693, 519, 4890, 1840, 267, 8691, 267, 21159, 543, 865, 593, 267, 855, 596, 3580, 1869, 581, 2451, 3297, 952, 596, 666, 1406, 3533, 543, 8308, 2697, 4010, 799, 4238, 596, 991, 547, 798, 543, 538, 1018, 1931, 780, 2162, 13174, 692, 15919, 519, 6310, 1983, 2933, 666, 581, 2352, 1107, 2523, 952, 13004, 3884, 1406, 707, 16999, 1858, 780, 2691, 596, 3815, 538, 519, 3105, 1079, 7965, 1107, 519, 942, 3970, 543, 1620, 875, 547, 2626, 519, 2243, 1107, 519, 2604, 540, 519, 3510, 666, 1360, 3362, 1118, 621, 2352, 547, 1685, 1134, 780, 1012, 7756, 4675, 11502, 540, 31592, 25705, 18873, 692, 8253, 782, 10230, 4255, 616, 2813, 3160, 269, 2755, 789, 782, 2832, 547, 1449, 513, 2147, 1305, 540, 1983, 267, 1142, 1449, 17082, 786, 723, 922, 1378, 2093, 827, 875, 1655, 547, 979, 827, 602, 780, 2026, 851, 540, 707, 7041, 267, 952, 596, 666, 1265, 856, 1018, 1449, 8502, 519, 2754, 596, 2461, 7311, 547, 568, 1210, 267, 596, 3580, 581, 2111, 547, 1445, 707, 2259, 1256, 811, 780, 763, 1292, 7426, 616, 1384, 10521, 540, 519, 1292, 1449, 7426, 616, 15562, 299, 543, 21942, 267, 930, 540, 519, 9510, 4408, 538, 519, 2872, 269, 4256, 4255, 4043, 547, 1305, 519, 2872, 3044, 267, 609, 1082, 1449, 14273, 1739, 9290, 543, 1152, 1818, 5266, 5634, 2242, 547, 519, 3898, 269, 1403, 538, 8969, 267, 596, 666, 1406, 979, 4636, 1316, 2358, 741, 4255, 780, 4415, 602, 1767, 267, 930, 7426, 798, 21199, 1919, 909, 780, 2690, 3236, 267, 13669, 550, 1627, 814, 606, 5499, 1449, 602, 3082, 338, 607, 596, 979, 269, 2659, 2953, 543, 11234, 4267, 948, 547, 1217, 519, 1449, 540, 707, 5578, 1377, 543, 621, 4188, 338, 519, 2055, 9935, 269, 901, 2636, 519, 1449, 547, 581, 8465, 543, 2110, 780, 12827, 3887, 849, 6763, 856, 689, 519, 3640, 269, 2060, 1360, 2110, 4255, 267, 1063, 476, 276, 543, 476, 1321, 3764, 1279, 267, 922, 2055, 1445, 593, 811, 7493, 267, 6310, 2609, 2864, 982, 11708, 543, 12125, 269, 901, 666, 25657, 10457, 945, 616, 1031, 547, 2324, 609, 811, 4052, 2010, 540, 2055, 780, 7617, 18261, 513, 2754, 3096, 3006, 5673, 593, 519, 1808, 1909, 543, 8257, 269, 2986, 1576, 267, 596, 1058, 2141, 7703, 538, 2247, 602, 3549, 666, 3442, 547, 1689, 18261, 693, 1022, 942, 780, 29490, 2327, 596, 1628, 909, 519, 1898, 1983, 596, 991, 602, 4019, 547, 1022, 10230, 7744, 1449, 269, 898, 779, 1346, 1983, 602, 616, 1373, 8947, 267, 711, 1808, 1702, 540, 513, 1880, 1449, 269, 9861, 2111, 547, 1589, 593, 707, 3952, 543, 3082, 547, 2242, 568, 849, 1945, 1034, 12820, 786, 581, 3168, 585, 780, 1012, 31592, 6156, 566, 5999, 692, 301, 10179, 673, 19106, 2055, 4125, 6310, 2474, 543, 2409, 267, 543, 2596, 3741, 540, 12980, 267, 971, 607, 1384, 1607, 1826, 540, 1449, 666, 581, 11008, 2213, 607, 513, 3432, 1449, 543, 568, 1031, 547, 3313, 707, 2596, 6746, 2329, 269, 1411, 786, 711, 581, 4847, 547, 946, 513, 9498, 780, 2252, 596, 616, 1360, 15309, 344, 609, 12980, 267, 2119, 556, 19543, 519, 2053, 7515, 909, 547, 476, 1321, 543, 26821, 8691, 267, 6498, 543, 6871, 9273, 269, 6657, 666, 2087, 707, 1449, 8464, 585, 782, 2010, 540, 19038, 3363, 4255, 267, 865, 2119, 607, 1082, 1806, 607, 596, 666, 780, 4322, 2055, 616, 2047, 10858, 547, 1082, 11889, 543, 804, 518, 673, 6009, 267, 855, 666, 849, 2408, 607, 513, 5057, 540, 10927, 543, 31707, 4255, 780, 763, 3432, 693, 799, 596, 666, 2626, 891, 2055, 568, 519, 2565, 2268, 267, 607, 1034, 1004, 1223, 3035, 513, 1360, 1164, 6060, 2016, 19957, 942, 538, 799, 547, 2626, 269, 1411, 666, 267, 4061, 267, 2503, 476, 1839, 547, 476, 3374, 2055, 538, 476, 736, 547, 476, 1789, 3764, 780, 2162, 11822, 25226, 692, 2791, 666, 3035, 513, 2462, 6454, 538, 707, 8464, 676, 1316, 2358, 707, 2790, 12980, 2394, 596, 616, 1312, 2656, 543, 8746, 269, 2659, 6060, 538, 519, 2241, 3432, 4255, 786, 581, 1360, 1454, 6766, 676, 707, 2702, 547, 1039, 267, 10208, 267, 9062, 543, 7941, 3533, 543, 8308, 780, 1103, 513, 6093, 1449, 540, 476, 2568, 6404, 2055, 267, 596, 949, 991, 547, 1685, 936, 476, 1220, 5094, 8691, 543, 6498, 4238, 269, 18833, 707, 8691, 7515, 630, 1575, 547, 519, 4557, 2053, 3349, 264, 543, 1373, 2111, 547, 2285, 606, 8216, 2626, 547, 1022, 5106, 568, 1898, 780, 763, 1883, 2262, 1934, 568, 2048, 13318, 656, 9957, 4107, 1004, 666, 1683, 8216, 4267, 547, 827, 476, 3199, 260, 540, 891, 4238, 543, 1491, 513, 1906, 7643, 547, 1589, 827, 519, 14230, 269, 1452, 3063, 1906, 7643, 1039, 909, 936, 519, 1576, 540, 519, 1449, 267, 1141, 16460, 513, 2582, 2243, 666, 4125, 1614, 610, 2185, 540, 891, 2241, 4238, 780, 4537, 3058, 513, 1906, 7643, 1055, 1934, 543, 972, 3947, 596, 942, 547, 2626, 606, 3063, 2185, 610, 2947, 2055, 538, 513, 6093, 1449, 1107, 543, 713, 786, 1118, 513, 2462, 3017, 547, 707, 3803, 6060, 780, 2791, 616, 1360, 12691, 547, 723, 1022, 2042, 609, 519, 476, 272, 267, 476, 273, 267, 476, 276, 543, 476, 1015, 2053, 7515, 1107, 865, 596, 666, 4440, 11716, 873, 269, 6875, 513, 6656, 540, 589, 275, 1957, 543, 1592, 519, 2338, 476, 274, 267, 476, 275, 267, 476, 277, 267, 476, 278, 267, 476, 279, 267, 476, 280, 538, 513, 6241, 1524, 519, 2451, 11804, 2427, 540, 519, 2985, 543, 2059, 519, 1283, 14345, 607, 3254, 1384, 301, 10179, 673, 25705, 18873, 692, 13480, 689, 2451, 547, 1318, 543, 1283, 547, 5377, 998, 519, 7470, 267, 1603, 538, 1142, 2626, 269, 1403, 596, 23249, 585, 1256, 513, 2034, 547, 1589, 827, 519, 2626, 1287, 1747, 513, 21686, 538, 519, 2230, 543, 3136, 780, 2710, 711, 3247, 547, 1589, 269, 23657, 2328, 519, 2626, 5612, 610, 2322, 513, 21686, 538, 519, 2230, 269, 1411, 1590, 2347, 713, 3635, 538, 1447, 982, 476, 2412, 7643, 780, 763, 1267, 568, 2356, 513, 6656, 609, 513, 1906, 546, 10449, 267, 1141, 519, 2953, 2626, 1705, 711, 2097, 14678, 547, 2247, 269, 1411, 786, 991, 547, 6108, 513, 3787, 540, 942, 24253, 707, 3965, 593, 891, 4238, 1107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 454, 258, 17972, 971, 607, 2915, 3750, 2681, 3085, 1405, 1071, 3146, 17218, 1454, 609, 519, 9742, 1826, 2676, 258, 971, 4183, 666, 10413, 29976, 6111, 1256, 1498, 891, 1826, 540, 4183, 949, 2408, 3730, 692, 258, 11408, 946, 4830, 2934, 454, 258, 18763, 2934, 971, 607, 4463, 543, 2681, 6645, 1114, 2010, 540, 1344, 454, 258, 6466, 2934, 971, 607, 4463, 538, 4699, 543, 4463, 538, 6279, 616, 1071, 648, 3836, 855, 2356, 29976, 5749, 1405, 5100, 2614, 3097, 258, 547, 8275, 602, 891, 2934, 616, 1071, 648, 3836, 543, 949, 1521, 873, 1114, 543, 5595, 1293, 4611, 538, 5786, 540, 29976, 6111, 269, 0, 3698, 1247, 318, 31467, 10031, 476, 1775, 815, 476, 271, 692, 476, 1247, 630, 328, 10922, 476, 1015, 2187, 825, 1820, 9217, 994, 825, 1775, 6834, 476, 272, 692, 3698, 585, 318, 31467, 10031, 476, 585, 1535, 538, 2039, 263, 1015, 267, 476, 2641, 2187, 825, 1820, 3287, 2020, 3698, 2262, 318, 31467, 10031, 476, 2012, 815, 834, 514, 517, 645, 2075, 340, 5016, 476, 585, 524, 538, 2012, 912, 825, 1820, 6262, 994, 0, 333, 815, 703, 9272, 2891, 6943, 606, 8870, 8442, 2020, 604, 562, 3436, 476, 271, 912, 825, 1820, 2891, 1607, 1297, 568, 2318, 23528, 19197, 562, 2999, 476, 271, 912, 825, 1820, 2891, 1607, 1297, 568, 2942, 23528, 12828, 912, 825, 1820, 2891, 1607, 1297, 568, 476, 271, 23528, 0, 5035, 19219, 630, 15953, 2187, 28768, 22592, 6449, 8181, 9191, 1345, 267, 1239, 815, 7183, 267, 7173, 815, 7183, 267, 1985, 815, 7183, 2567, 1948, 7173, 267, 1985, 616, 19219, 1362, 454, 453, 19677, 21606, 815, 1239, 454, 453, 19677, 269, 2181, 341, 815, 7173, 610, 1582, 454, 453, 19677, 12785, 815, 1985, 610, 1582, 454, 4848, 454, 5035, 17677, 299, 22075, 8266, 630, 15953, 2187, 28768, 22592, 6449, 8181, 9191, 1345, 2187, 453, 19677, 23584, 815, 1582, 269, 9690, 815, 19219, 4590, 453, 19677, 269, 7224, 815, 476, 271, 454, 4848, 454, 22592, 6449, 6352, 9191, 1345, 2187, 453, 16596, 1582, 269, 7224, 454, 4848, 454, 22592, 568, 318, 24105, 4311, 2187, 453, 16596, 1582, 23584, 12785, 568, 1582, 23584, 454, 453, 453, 258, 2094, 1256, 606, 8900, 1592, 814, 835, 546, 16244, 6843, 263, 6518, 814, 3294, 585, 922, 2212, 543, 7173, 31452, 13211, 453, 453, 258, 649, 3112, 9794, 952, 519, 1592, 568, 8900, 676, 2436, 519, 1297, 540, 519, 1592, 568, 476, 271, 610, 711, 563, 4848, 454, 22592, 3406, 4311, 267, 11907, 2187, 453, 453, 322, 660, 815, 476, 271, 454, 453, 453, 696, 337, 815, 1582, 23584, 12785, 454, 453, 453, 6112, 533, 13700, 568, 711, 1582, 23584, 912, 4848, 14851, 533, 13700, 21606, 2652, 1239, 912, 15235, 19677, 269, 9690, 815, 533, 13700, 454, 15235, 16596, 524, 660, 454, 4848, 453, 696, 337, 815, 533, 13700, 12785, 454, 4848, 453, 322, 660, 6834, 476, 272, 454, 15235, 454, 453, 16596, 910, 272, 454, 4848, 454, 22592, 6449, 935, 13935, 9191, 1345, 267, 1239, 2187, 453, 16596, 1582, 269, 14142, 16597, 264, 13843, 476, 271, 454, 4848, 454, 22592, 1820, 318, 9690, 17045, 4311, 2187, 453, 14851, 1582, 18994, 318, 24105, 10031, 4848, 13537, 2891, 5591, 1699, 6843, 23528, 453, 28432, 912, 4848, 13537, 4311, 269, 9690, 21606, 994, 15235, 454, 22592, 1820, 4311, 2187, 453, 453, 696, 337, 815, 1582, 23584, 12785, 454, 4848, 454, 453, 453, 6112, 533, 13700, 568, 711, 1582, 23584, 912, 4848, 13537, 263, 696, 337, 21606, 994, 4848, 453, 696, 337, 815, 533, 13700, 12785, 454, 4848, 454, 22592, 1820, 23631, 2091, 4311, 2187, 453, 453, 696, 337, 815, 1582, 23584, 269, 2181, 341, 454, 4848, 454, 453, 453, 6112, 533, 13700, 568, 711, 1582, 23584, 912, 4848, 453, 335, 761, 333, 263, 696, 337, 21606, 994, 4848, 453, 696, 337, 815, 533, 13700, 269, 2181, 341, 454, 15235, 454, 22592, 1985, 4311, 2187, 453, 14851, 1582, 18994, 318, 24105, 3890, 610, 1582, 269, 9690, 12785, 568, 1582, 23584, 912, 4848, 16596, 8771, 454, 453, 19677, 269, 9690, 815, 1582, 269, 9690, 12785, 454, 453, 16596, 6936, 454, 4848, 454, 22592, 7173, 4311, 2187, 453, 14851, 1582, 18994, 318, 24105, 3890, 610, 1582, 269, 9690, 269, 2181, 341, 568, 1582, 23584, 912, 4848, 16596, 8771, 454, 453, 19677, 269, 9690, 815, 1582, 269, 9690, 269, 2181, 341, 454, 453, 16596, 6936, 454, 4848, 454, 22592, 1039, 4311, 267, 1239, 2187, 453, 453, 257, 5417, 513, 6843, 1318, 1310, 519, 1699, 6843, 4799, 4848, 454, 453, 453, 27161, 815, 19219, 16597, 267, 1582, 269, 9690, 267, 1582, 269, 9690, 12785, 994, 453, 19677, 269, 9690, 12785, 815, 6843, 454, 453, 19677, 269, 9690, 12785, 269, 2181, 341, 815, 6843, 454, 453, 19677, 269, 9690, 815, 6843, 454, 453, 19677, 269, 7224, 6834, 476, 272, 454, 4848, 454, 22592, 1039, 6958, 1009, 4311, 267, 1239, 2187, 453, 453, 257, 5417, 513, 6843, 693, 519, 1101, 1747, 4799, 4848, 454, 453, 19677, 269, 9690, 815, 1582, 23584, 454, 453, 19677, 14491, 16597, 994, 28768, 22592, 1039, 9078, 770, 4311, 267, 1239, 2187, 453, 453, 257, 5417, 513, 6843, 693, 519, 2063, 1747, 4799, 4848, 454, 453, 19677, 269, 9690, 815, 1582, 23584, 269, 2181, 341, 454, 453, 453, 5417, 16597, 994, 28768, 22592, 4894, 318, 9690, 17045, 4311, 2187, 453, 453, 257, 24525, 519, 1699, 6843, 4799, 4848, 454, 453, 14851, 711, 1582, 18994, 318, 24105, 10031, 4848, 19677, 269, 9690, 269, 2181, 341, 12785, 815, 1582, 269, 9690, 12785, 454, 4848, 19677, 269, 9690, 12785, 269, 2181, 341, 815, 1582, 269, 9690, 269, 2181, 341, 454, 4848, 19677, 269, 9690, 815, 1582, 269, 9690, 269, 2181, 341, 454, 4848, 19677, 269, 7224, 20699, 476, 272, 454, 4848, 14851, 1582, 269, 9690, 568, 1582, 23584, 912, 15235, 19677, 269, 9690, 815, 1582, 23584, 12785, 454, 15235, 454, 22592, 4894, 4311, 267, 533, 2187, 453, 453, 257, 24525, 519, 6843, 533, 4799, 4848, 454, 453, 453, 696, 337, 815, 1582, 23584, 12785, 454, 4848, 454, 453, 453, 6112, 533, 13700, 568, 711, 1582, 23584, 912, 4848, 14851, 533, 13700, 568, 533, 912, 15235, 19677, 269, 9690, 815, 533, 454, 15235, 19677, 31927, 318, 9690, 17045, 4590, 15235, 453, 19874, 454, 4848, 453, 696, 337, 815, 533, 13700, 12785, 454, 15235, 454, 22592, 4894, 6958, 1009, 4311, 2187, 453, 453, 257, 24525, 519, 1101, 6843, 4799, 4848, 454, 453, 19677, 269, 9690, 815, 1582, 23584, 12785, 454, 453, 19677, 31927, 318, 9690, 17045, 4590, 28768, 22592, 4894, 9078, 770, 4311, 2187, 453, 453, 257, 24525, 519, 2063, 6843, 4799, 4848, 454, 453, 19677, 269, 9690, 815, 1582, 23584, 269, 2181, 341, 454, 453, 19677, 31927, 318, 9690, 17045, 4590, 4848, 454, 22592, 2312, 4311, 2187, 453, 453, 257, 24525, 782, 4840, 4848, 454, 453, 453, 6112, 711, 1582, 18994, 318, 24105, 10031, 4848, 19677, 31927, 6958, 1009, 4590, 453, 19677, 269, 7224, 815, 476, 271, 454, 28768, 22592, 6449, 3438, 9191, 1345, 2567, 476, 1948, 9847, 17677, 299, 22075, 8266, 296, 614, 1807, 454, 453, 453, 257, 8873, 606, 12055, 1807, 4799, 453, 16596, 17677, 299, 22075, 8266, 296, 614, 1807, 4311, 23584, 994, 4848, 454, 22592, 6449, 516, 951, 539, 9191, 1345, 2567, 476, 1948, 9847, 17677, 299, 22075, 8266, 305, 27654, 296, 614, 1807, 454, 453, 453, 257, 8873, 513, 9258, 12055, 1807, 4799, 453, 16596, 17677, 299, 22075, 8266, 305, 27654, 296, 614, 1807, 4311, 23584, 994, 4848, 454, 5035, 17677, 299, 22075, 8266, 296, 614, 1807, 630, 15953, 2187, 28768, 22592, 6449, 8181, 9191, 1345, 267, 2212, 2567, 476, 1948, 2212, 281, 19219, 454, 453, 19677, 23584, 815, 2212, 454, 453, 19677, 269, 9690, 815, 2212, 12785, 454, 4848, 454, 22592, 6449, 3438, 9191, 1345, 2187, 453, 16596, 1582, 454, 4848, 454, 22592, 6449, 10113, 9191, 1345, 2187, 453, 14851, 1582, 269, 9690, 568, 1582, 23584, 912, 4848, 453, 571, 1047, 17547, 296, 614, 566, 454, 453, 28432, 912, 4848, 453, 11907, 815, 1582, 269, 9690, 21606, 454, 4848, 19677, 269, 9690, 815, 1582, 269, 9690, 12785, 454, 4848, 16596, 1239, 454, 15235, 454, 5035, 17677, 299, 22075, 8266, 305, 27654, 296, 614, 1807, 630, 15953, 2187, 28768, 22592, 6449, 8181, 9191, 1345, 267, 2212, 2567, 476, 1948, 2212, 281, 19219, 454, 453, 19677, 23584, 815, 2212, 454, 453, 19677, 269, 9690, 815, 2212, 269, 2181, 341, 454, 4848, 454, 22592, 6449, 3438, 9191, 1345, 2187, 453, 16596, 1582, 454, 4848, 454, 22592, 6449, 10113, 9191, 1345, 2187, 453, 14851, 1582, 269, 9690, 568, 1582, 23584, 912, 4848, 453, 571, 1047, 17547, 296, 614, 566, 454, 453, 28432, 912, 4848, 453, 11907, 815, 1582, 269, 9690, 21606, 454, 4848, 19677, 269, 9690, 815, 1582, 269, 9690, 269, 2181, 341, 454, 4848, 16596, 1239, 454 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 707, 7379, 2232, 609, 543, 1510, 513, 19504, 4276, 563, 268, 19244, 713, 1900, 1896, 2053, 269, 1411, 666, 1294, 602, 707, 1483, 543, 5691, 7379, 9607, 616, 711, 519, 1482, 563, 268, 1403, 707, 1483, 7379, 2232, 13292, 707, 5691, 7379, 2232, 538, 1022, 3801, 267, 621, 1797, 972, 568, 7379, 2232, 24694, 563, 268, 2142, 8797, 538, 8939, 519, 19504, 563, 268, 3680, 713, 1826, 540, 10464, 19504, 3028, 799, 814, 2930, 20924, 538, 873, 563, 2791, 949, 849, 899, 912, 16605, 538, 2247, 782, 891, 19504, 4255, 267, 596, 723, 547, 1118, 2386, 602, 707, 19504, 568, 476, 1911, 260, 5150, 269, 5047, 267, 1118, 2386, 602, 596, 3442, 519, 1655, 19504, 899, 681, 7534, 309, 14149, 269, 1306, 2484, 607, 3354, 4145, 267, 596, 666, 7048, 593, 621, 1510, 1022, 5855, 269, 898, 666, 1683, 606, 3063, 4494, 540, 3354, 543, 2285, 519, 1655, 2164, 269, 0, 17357, 517, 8785, 281, 1582, 268, 18066, 908, 693, 6280, 454, 17357, 517, 8785, 4667, 547, 581, 782, 4896, 781, 6158, 827, 1318, 1631, 267, 855, 596, 4465, 1405, 581, 4805, 538, 11842, 1018, 596, 2965, 991, 547, 798, 547, 1582, 268, 18066, 622, 269, 1937, 787, 711, 607, 713, 3391, 6941, 782, 563, 4415, 865, 1454, 9623, 827, 5046, 268, 866, 630, 320, 1826, 540, 11452, 264, 547, 1491, 538, 693, 519, 4090, 267, 621, 666, 581, 2182, 547, 917, 1018, 3268, 547, 581, 1739, 547, 2119, 547, 2061, 20414, 543, 8429, 593, 519, 4576, 563, 27407, 267, 2119, 711, 547, 1577, 782, 519, 3377, 1472, 519, 3644, 11784, 596, 269, 3371, 267, 649, 3513, 2491, 875, 596, 666, 2569, 707, 8458, 540, 3478, 5046, 268, 866, 267, 950, 596, 991, 547, 1582, 268, 18066, 622, 543, 875, 547, 1935, 1582, 28104, 15684, 950, 2713, 538, 3838, 22098, 563, 1432, 781, 538, 713, 3391, 888, 268, 1548, 568, 11452, 630, 26542, 268, 866, 25145, 268, 1548, 568, 1449, 543, 10250, 888, 268, 5871, 2589, 540, 11452, 454, 268, 1879, 1058, 596, 1582, 268, 18066, 622, 888, 268, 1215, 1279, 1058, 596, 1582, 268, 18066, 622, 585, 888, 268, 1215, 547, 1582, 268, 18066, 622, 538, 513, 3838, 2777, 454, 268, 4317, 26865, 693, 6280, 476, 1708, 271, 270, 2641, 454, 268, 476, 1704, 1919, 547, 798, 1282, 1582, 28104, 15684, 454, 268, 23448, 4388, 547, 2057, 20414, 543, 10825, 11452, 454, 1432, 568, 11452, 888, 17357, 517, 822, 21905, 616, 513, 1920, 540, 8290, 602, 666, 2014, 4576, 538, 2831, 610, 3425, 1107, 5046, 268, 866, 568, 519, 1034, 5063, 1673, 4593, 2642, 11452, 547, 3914, 3425, 267, 855, 519, 3105, 3283, 723, 267, 593, 519, 2898, 267, 7902, 811, 899, 897, 1091, 563, 26542, 268, 866, 267, 799, 1797, 27649, 8376, 476, 1001, 280, 267, 729, 10294, 607, 513, 6855, 676, 519, 2622, 2657, 25944, 630, 21766, 264, 593, 13723, 476, 1556, 628, 4728, 476, 1708, 271, 269, 901, 729, 1317, 519, 3262, 540, 519, 2068, 1472, 519, 1158, 25295, 6788, 585, 513, 1007, 3644, 267, 585, 799, 1004, 1810, 1405, 723, 12046, 563, 2026, 519, 4576, 568, 1007, 267, 4966, 616, 1869, 7334, 827, 930, 3344, 540, 5046, 268, 866, 269, 2334, 1767, 267, 621, 781, 4867, 5156, 602, 621, 2356, 3217, 909, 547, 476, 1691, 2395, 585, 2589, 547, 1376, 1310, 596, 6952, 519, 3644, 630, 10472, 568, 1634, 607, 519, 1412, 4532, 889, 566, 1974, 262, 1916, 13349, 2589, 540, 11452, 454, 6097, 547, 519, 14959, 267, 891, 616, 519, 1034, 1455, 2589, 540, 519, 5046, 268, 866, 4576, 912, 268, 16959, 11522, 563, 763, 14959, 3081, 519, 1739, 2589, 616, 1447, 1455, 267, 855, 1004, 609, 5046, 268, 866, 949, 849, 1995, 912, 268, 589, 2583, 543, 24074, 454, 268, 590, 648, 11563, 454, 268, 13809, 540, 6492, 610, 9329, 454, 268, 681, 1662, 593, 2960, 454, 268, 2598, 3712, 712, 566, 540, 11263, 610, 19462, 563, 4517, 267, 891, 616, 3226, 3978, 2589, 1107, 596, 1058, 3343, 7525, 2564, 3007, 952, 596, 1995, 873, 912, 268, 10374, 1145, 540, 7362, 610, 7411, 7244, 454, 268, 11576, 566, 540, 1928, 543, 5924, 2604, 538, 707, 9221, 454, 268, 13809, 540, 3350, 610, 4633, 563, 288, 12102, 540, 1004, 609, 11452, 1831, 12517, 2192, 543, 1020, 7411, 7244, 269, 1403, 596, 798, 1995, 3978, 2589, 267, 3643, 23244, 476, 9340, 2228, 267, 1289, 23244, 476, 9340, 610, 267, 952, 621, 781, 606, 6595, 267, 1289, 476, 15886, 563, 4913, 267, 5046, 268, 866, 2589, 2356, 2253, 7930, 543, 3251, 7646, 269, 1656, 267, 621, 781, 1271, 547, 4063, 602, 930, 1004, 609, 519, 3644, 616, 28105, 543, 1810, 1405, 1995, 1022, 2589, 693, 782, 563, 2005, 781, 4867, 15458, 2436, 1004, 945, 616, 28105, 1247, 7783, 609, 5046, 268, 866, 616, 2693, 547, 3262, 519, 3968, 593, 547, 1866, 269, 6787, 596, 723, 2589, 610, 711, 267, 1498, 267, 621, 781, 4105, 585, 721, 782, 547, 581, 6297, 267, 1246, 1514, 26865, 3800, 543, 5781, 11547, 938, 3946, 563, 14818, 543, 10250, 1949, 538, 519, 5177, 454, 4002, 476, 2764, 628, 2904, 267, 519, 23244, 1449, 543, 10250, 3028, 9250, 538, 4789, 269, 898, 781, 12479, 602, 519, 1062, 630, 4385, 607, 3346, 16439, 264, 786, 1450, 519, 2229, 547, 2417, 8897, 519, 27579, 9993, 267, 1247, 11173, 547, 1852, 519, 3262, 540, 5046, 268, 866, 563, 2467, 616, 2147, 1949, 538, 1747, 538, 8832, 8581, 267, 10430, 543, 12986, 563, 763, 1449, 543, 10250, 1949, 538, 519, 5177, 1246, 513, 2147, 2497, 1107, 789, 2832, 547, 3533, 1449, 1761, 2665, 540, 5046, 268, 866, 267, 2697, 945, 814, 5063, 1044, 538, 2673, 3346, 609, 1004, 945, 1449, 2318, 585, 11452, 267, 543, 5000, 1022, 1761, 2665, 547, 1582, 268, 18066, 622, 563, 262, 5141, 846, 3346, 262, 4016, 547, 912, 268, 9861, 1447, 982, 835, 25451, 2476, 689, 2576, 454, 268, 9861, 1447, 982, 1079, 15432, 2476, 689, 2576, 585, 936, 476, 1428, 3764, 454, 268, 13488, 1782, 538, 513, 1507, 6174, 609, 2576, 630, 324, 3052, 269, 513, 1286, 1070, 610, 2282, 18825, 593, 513, 7077, 563, 763, 5796, 2630, 568, 4481, 827, 519, 23244, 1449, 543, 10250, 3028, 538, 4789, 267, 855, 621, 781, 2147, 547, 519, 3157, 538, 519, 1964, 540, 519, 5177, 269, 1677, 1265, 856, 811, 827, 875, 519, 1062, 1568, 1141, 596, 2661, 267, 723, 513, 1413, 693, 519, 5583, 593, 519, 2229, 4609, 585, 8832, 8581, 267, 10430, 543, 12986, 563, 1432, 547, 798, 952, 596, 723, 11452, 2589, 454, 2252, 596, 1020, 2589, 540, 11452, 267, 1934, 616, 519, 3268, 596, 1058, 1491, 547, 1246, 519, 1449, 543, 10250, 1062, 912, 268, 1879, 596, 1376, 7680, 2589, 540, 5046, 268, 866, 630, 328, 4318, 269, 513, 1007, 543, 6024, 11522, 267, 513, 1164, 2837, 543, 5924, 513, 2530, 610, 1689, 547, 707, 2631, 540, 9329, 610, 6492, 1070, 1931, 513, 1449, 547, 1265, 856, 952, 596, 723, 519, 3644, 563, 268, 1306, 1134, 607, 19280, 519, 1449, 267, 1246, 519, 1582, 28104, 15684, 4808, 267, 2059, 609, 707, 7622, 563, 268, 1403, 596, 1449, 2318, 585, 11452, 267, 596, 3513, 581, 10332, 539, 676, 519, 23244, 1449, 543, 10250, 3028, 676, 513, 1257, 267, 4757, 610, 6049, 1289, 267, 543, 596, 3513, 991, 547, 1577, 873, 917, 945, 596, 4312, 1044, 538, 2487, 2673, 3346, 609, 563, 268, 634, 1449, 543, 10250, 3028, 786, 1287, 3346, 1004, 602, 596, 4312, 1044, 538, 2673, 3346, 609, 945, 1522, 991, 547, 1582, 268, 18066, 622, 563, 9616, 281, 1403, 596, 2811, 7318, 585, 11452, 543, 519, 2164, 2097, 1394, 2942, 267, 707, 7622, 666, 3247, 1582, 268, 18066, 908, 563, 2791, 666, 849, 3247, 1582, 268, 18066, 908, 952, 596, 1449, 2942, 543, 1100, 3476, 723, 2589, 2147, 547, 5046, 268, 866, 630, 604, 596, 2811, 796, 6202, 609, 519, 2770, 610, 513, 1114, 3644, 267, 621, 781, 1869, 19624, 547, 3251, 2476, 689, 1866, 2394, 596, 2811, 4743, 1732, 1916, 1432, 547, 798, 952, 596, 4312, 1044, 538, 3346, 609, 2576, 945, 814, 11452, 454, 2252, 18825, 602, 596, 4312, 1044, 538, 2487, 3346, 609, 4255, 2318, 585, 5046, 268, 866, 267, 1934, 616, 519, 1449, 543, 10250, 3268, 547, 1246, 912, 268, 1411, 786, 581, 10332, 539, 676, 519, 23244, 1449, 543, 10250, 3028, 676, 513, 1257, 267, 4757, 610, 6049, 1289, 547, 1577, 596, 917, 602, 2576, 596, 4312, 1044, 538, 2673, 3346, 609, 814, 7318, 2318, 585, 11452, 563, 268, 1411, 1058, 1287, 2845, 593, 547, 519, 23244, 1449, 543, 10250, 3896, 563, 268, 1411, 3513, 991, 547, 1376, 1582, 268, 18066, 908, 585, 476, 1691, 2395, 269, 2659, 7622, 786, 1152, 991, 547, 1582, 268, 18066, 622, 609, 596, 952, 596, 723, 5046, 268, 866, 2589, 267, 855, 789, 1058, 1869, 581, 6297, 547, 1246, 1514, 26865, 3800, 267, 5781, 11547, 741, 3946, 543, 2057, 3346, 609, 596, 563, 268, 1403, 596, 1287, 1020, 2589, 267, 596, 786, 991, 547, 1931, 513, 1449, 543, 1246, 519, 1582, 28104, 15684, 3800, 2059, 609, 707, 7622, 269, 1656, 267, 952, 596, 1449, 2318, 267, 596, 3513, 581, 30409, 676, 519, 23244, 1449, 543, 10250, 3028, 543, 786, 991, 547, 2697, 1004, 596, 4312, 5063, 1044, 538, 2673, 3346, 609, 563, 2691, 1058, 596, 1582, 268, 18066, 622, 888, 2252, 596, 723, 513, 1007, 543, 6024, 11522, 267, 513, 1164, 2837, 543, 5924, 513, 2530, 610, 1689, 547, 707, 2631, 540, 9329, 610, 6492, 267, 596, 1058, 1582, 268, 18066, 622, 585, 5722, 2395, 689, 519, 1376, 540, 707, 2589, 269, 901, 1797, 9363, 693, 1753, 543, 711, 2469, 856, 585, 513, 2407, 3018, 1310, 519, 1376, 540, 707, 2589, 563, 2252, 2576, 538, 707, 7622, 610, 1514, 19389, 10953, 2589, 267, 596, 786, 849, 991, 547, 1582, 268, 18066, 622, 585, 476, 1691, 2395, 689, 519, 1376, 540, 741, 2589, 630, 3467, 593, 713, 2630, 1916, 2026, 606, 7650, 267, 1934, 616, 519, 1883, 4128, 596, 1522, 991, 547, 1582, 268, 18066, 622, 912, 268, 1411, 723, 2589, 540, 5046, 268, 866, 454, 268, 1411, 2811, 7996, 585, 513, 11452, 1449, 1267, 454, 268, 1411, 4312, 7318, 2318, 585, 519, 3644, 454, 268, 1411, 2661, 609, 2576, 945, 814, 2589, 267, 568, 7996, 585, 513, 1449, 1267, 610, 814, 7318, 2318, 454, 268, 1411, 2811, 538, 513, 1489, 19389, 609, 2576, 945, 814, 2589, 267, 568, 7996, 585, 513, 1449, 1267, 610, 814, 7318, 2318, 563, 2026, 23244, 476, 9340, 543, 519, 23244, 607, 513, 2898, 723, 1044, 896, 513, 2603, 540, 8833, 1282, 519, 6855, 267, 649, 2811, 9415, 547, 1152, 946, 891, 2533, 950, 11613, 2556, 269, 5502, 267, 952, 596, 666, 267, 5225, 1413, 693, 9623, 593, 519, 23244, 3896, 543, 23244, 476, 9340, 2228, 3079, 563, 3963, 568, 621, 1271, 547, 1582, 268, 18066, 622, 888, 763, 2601, 1946, 621, 781, 1271, 547, 1582, 268, 18066, 622, 952, 596, 723, 5046, 268, 866, 568, 602, 972, 781, 513, 1981, 596, 1223, 1780, 621, 593, 547, 1866, 607, 621, 19082, 3533, 563, 4407, 596, 949, 723, 1100, 1966, 8165, 1055, 519, 4576, 267, 585, 1866, 621, 666, 581, 3978, 1107, 3226, 585, 519, 11361, 543, 1346, 609, 840, 25365, 2564, 2175, 563, 1692, 1279, 1058, 596, 1582, 268, 18066, 622, 585, 888, 2252, 267, 1310, 5722, 2395, 689, 519, 1376, 540, 707, 2589, 267, 596, 723, 513, 3339, 2837, 543, 596, 1745, 1732, 267, 596, 1058, 581, 5386, 547, 3247, 1582, 268, 18066, 908, 267, 855, 596, 786, 1869, 991, 547, 1832, 1739, 519, 2229, 781, 1514, 26865, 3800, 563, 4913, 267, 952, 596, 2811, 1582, 268, 18066, 908, 1317, 2576, 538, 707, 2777, 610, 1489, 19389, 814, 1185, 2589, 540, 5046, 268, 866, 267, 596, 786, 991, 547, 3251, 693, 1753, 585, 476, 1691, 2395, 689, 950, 707, 2777, 22940, 781, 2589, 3323, 269, 901, 568, 1317, 621, 666, 1491, 476, 1691, 2395, 585, 596, 547, 1376, 2348, 2589, 1310, 20414, 519, 3644, 563, 2252, 811, 982, 835, 1268, 538, 707, 2777, 610, 1489, 19389, 814, 2589, 267, 707, 476, 1691, 2395, 540, 1582, 28104, 15684, 1246, 950, 519, 1101, 1268, 3323, 2348, 2589, 563, 4517, 267, 952, 596, 2811, 1582, 268, 18066, 908, 585, 476, 1691, 2395, 1317, 707, 2777, 22940, 610, 18825, 538, 707, 1489, 19389, 814, 2589, 267, 543, 596, 1020, 2589, 1282, 713, 942, 267, 596, 786, 1287, 991, 547, 1582, 268, 18066, 622 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3113, 540, 535, 568, 3160, 547, 519, 1858, 540, 519, 13551, 4171, 4463, 568, 519, 3328, 1871, 269, 19105, 10025, 540, 513, 9577, 7612, 476, 275, 269, 4029, 692, 1240, 1677, 1294, 1946, 519, 3328, 1871, 540, 535, 568, 3989, 538, 713, 1259, 267, 15475, 602, 596, 15652, 1496, 320, 267, 536, 316, 883, 562, 1016, 5793, 10094, 540, 3160, 8700, 18529, 343, 815, 630, 321, 1107, 513, 8358, 333, 269, 1403, 524, 1775, 568, 1022, 1448, 538, 519, 476, 603, 1016, 5793, 1998, 267, 519, 12980, 3328, 630, 528, 1611, 264, 540, 519, 1599, 2418, 693, 519, 524, 1775, 11313, 338, 568, 2016, 676, 1635, 14921, 543, 12270, 676, 630, 321, 1107, 513, 264, 596, 666, 2328, 519, 3328, 607, 19105, 10025, 540, 513, 9577, 692, 866, 7053, 267, 2921, 519, 3970, 607, 7472, 519, 3328, 1871, 540, 535, 593, 519, 8884, 1496, 320, 267, 536, 316, 607, 2016, 538, 519, 4214, 1657, 269, 19105, 10025, 540, 513, 9577, 692, 736, 7151, 476, 275, 1107, 15531, 519, 19105, 10025, 540, 513, 9577, 4855, 519, 3328, 1871, 540, 535, 3287, 264, 815, 476, 274, 343, 476, 273, 1107, 476, 273, 343, 593, 519, 8884, 1496, 272, 267, 476, 275, 4940, 8827, 281, 634, 3328, 1871, 568, 2016, 676, 630, 8450, 7612, 476, 275, 269, 3953, 4700, 7612, 476, 275, 269, 3953, 692, 2641, 634, 5822, 27284, 14497, 540, 20145, 692, 2420, 634, 17386, 7533, 540, 535, 593, 519, 8884, 1496, 320, 267, 536, 316, 568, 3989, 1210, 519, 3586, 536, 607, 519, 5580, 3970, 540, 5610, 543, 1535, 607, 519, 4756, 540, 5610, 269, 589, 5594, 1114, 3510, 949, 8451, 538, 799, 519, 4756, 1535, 568, 1031, 538, 519, 5580, 3970, 540, 5610, 269, 1677, 2057, 519, 10539, 540, 1210, 1535, 538, 1079, 1114, 2081, 267, 512, 568, 17303, 1031, 607, 519, 4756, 540, 5610, 269, 634, 5822, 27284, 14497, 540, 20145, 692, 2537, 634, 5822, 27284, 14497, 540, 20145, 692, 2190, 7151, 476, 277, 1107, 634, 4347, 9548, 6715, 1537, 607, 513, 9577, 21414, 519, 1599, 8827, 281, 1411, 1223, 6218, 2947, 1114, 17386, 29398, 267, 835, 585, 1142, 540, 519, 2016, 5580, 7182, 269, 1717, 267, 621, 568, 1454, 12863, 547, 4368, 1535, 630, 553, 513, 3586, 264, 17303, 547, 3489, 692, 1839, 7151, 476, 277, 1107, 8827, 7612, 476, 275, 269, 4097, 3767, 267, 1210, 674, 3287, 264, 815, 5609, 1535, 267, 596, 666, 3489, 519, 2164, 3254, 538, 7612, 476, 275, 269, 4097, 269, 733, 8910, 692, 2918, 634, 1599, 674, 3287, 264, 607, 7213, 6819, 519, 1858, 896, 519, 7455, 535, 6025, 264, 815, 5430, 512, 689, 512, 815, 476, 271, 547, 512, 815, 1535, 269, 1280, 1535, 815, 476, 271, 267, 519, 1858, 568, 476, 271, 543, 674, 263, 271, 264, 815, 476, 271, 269, 1280, 1535, 815, 12631, 270, 273, 267, 674, 263, 11027, 270, 273, 264, 815, 476, 272, 3947, 519, 19017, 1858, 896, 519, 25482, 7455, 593, 519, 3003, 8884, 1496, 271, 267, 12631, 270, 273, 4940, 901, 7664, 540, 606, 7533, 607, 606, 13250, 1599, 568, 1031, 1419, 538, 3156, 540, 5610, 269, 634, 5822, 27284, 14497, 540, 20145, 692, 2767, 634, 12045, 540, 674, 568, 519, 3312, 2076, 8681, 269, 2334, 568, 267, 901, 1267, 568, 20902, 538, 519, 1739, 11532, 267, 1572, 519, 5822, 27284, 14497, 540, 20145, 269, 634, 5822, 27284, 14497, 540, 20145, 692, 2764, 4635, 519, 1858, 2203, 585, 17386, 29398, 267, 596, 666, 2070, 519, 19406, 607, 6031, 602, 519, 1858, 540, 519, 13551, 540, 4463, 535, 3287, 264, 543, 8700, 18529, 343, 568, 5111, 3160, 547, 519, 1858, 540, 519, 3148, 14084, 1063, 519, 3113, 540, 535, 543, 519, 1535, 14289, 593, 519, 8884, 1496, 343, 267, 1535, 1341, 18529, 343, 3910, 607, 3254, 538, 7612, 476, 275, 269, 3374, 269, 634, 5822, 27284, 14497, 540, 20145, 7612, 476, 275, 269, 3374, 692, 3066, 7151, 476, 278, 1107, 4635, 519, 5822, 27284, 14497, 540, 20145, 21414, 8827, 281, 8074, 602, 568, 6024, 593, 519, 3003, 1483, 1899, 269, 1924, 267, 1210, 519, 5822, 27284, 14497, 540, 20145, 267, 596, 666, 2328, 692, 1789, 4880, 7827, 14497, 692, 4029, 4880, 7827, 14497, 634, 27284, 14497, 540, 20145, 2829, 602, 952, 535, 568, 6024, 593, 519, 6806, 8884, 1496, 320, 267, 536, 316, 543, 674, 568, 606, 1884, 3187, 29719, 540, 535, 593, 1496, 320, 267, 536, 3910, 1287, 1809, 1317, 674, 21948, 343, 264, 815, 535, 3287, 1070, 713, 3948, 666, 581, 17370, 9287, 607, 1141, 519, 7274, 674, 6357, 264, 1107, 674, 5416, 264, 4564, 519, 2121, 1689, 540, 674, 593, 519, 8884, 1496, 320, 267, 536, 316, 780, 3953, 4880, 7827, 14497, 692, 3451, 7151, 476, 280, 1107, 4635, 519, 4880, 7827, 14497, 589, 3114, 8928, 883, 513, 4859, 7382, 693, 513, 2557, 540, 476, 5197, 1341, 476, 274, 339, 20990, 829, 8792, 267, 1141, 476, 271, 18016, 512, 18016, 476, 2568, 269, 4855, 519, 2179, 540, 519, 3114, 602, 8928, 883, 519, 7382, 1282, 519, 1101, 476, 736, 3764, 269, 8827, 281, 2913, 524, 6025, 264, 581, 519, 2179, 540, 519, 3114, 538, 519, 7382, 693, 942, 512, 269, 3973, 524, 21948, 339, 264, 4564, 519, 2557, 693, 799, 519, 3114, 8928, 883, 519, 7382, 693, 942, 512, 780, 4097, 7151, 476, 280, 1107, 8827, 4438, 519, 1101, 476, 736, 3764, 267, 519, 2179, 602, 8928, 883, 519, 7382, 568, 1924, 267, 519, 2179, 602, 8928, 883, 519, 7382, 1282, 519, 1101, 476, 736, 3764, 568, 476, 22213, 271, 20990, 269, 733, 8910, 692, 3374, 4880, 7827, 14497, 634, 6991, 540, 513, 9325, 3001, 2059, 513, 2786, 1899, 1141, 521, 6025, 264, 568, 519, 2990, 693, 942, 512, 269, 3973, 922, 6991, 568, 642, 6025, 264, 815, 521, 21948, 339, 264, 543, 901, 17386, 7533, 4564, 519, 2121, 1689, 538, 2990, 267, 610, 12761, 267, 540, 519, 9325, 780, 3607, 4880, 7827, 14497, 1879, 12719, 519, 2698, 3845, 14612, 676, 519, 9325, 267, 596, 1590, 2015, 519, 11996, 1141, 642, 6025, 264, 18016, 476, 271, 543, 519, 11996, 1141, 642, 6025, 264, 21759, 476, 271, 269, 1879, 642, 6025, 264, 18016, 476, 271, 519, 9325, 7575, 547, 519, 2451, 267, 543, 950, 642, 6025, 264, 21759, 476, 271, 267, 519, 9325, 7575, 547, 519, 1318, 269, 1677, 5173, 519, 2698, 3845, 14612, 267, 11753, 519, 6207, 1871, 540, 6991, 1923, 341, 6025, 31206, 780, 4391, 4880, 7827, 14497, 1924, 267, 519, 12761, 540, 513, 9325, 543, 519, 2698, 3845, 14612, 676, 513, 9325, 936, 1496, 320, 267, 536, 316, 666, 581, 2854, 607, 630, 5408, 7612, 476, 275, 269, 3607, 1040, 7612, 476, 275, 269, 3607, 692, 4343, 7151, 476, 1015, 1107, 14572, 513, 3487, 1834, 18289, 9046, 589, 9325, 568, 3001, 2059, 513, 1899, 865, 602, 922, 6991, 568, 642, 6025, 264, 815, 512, 476, 274, 1107, 476, 1015, 339, 476, 273, 1341, 476, 3066, 339, 1107, 476, 736, 3952, 829, 2034, 693, 942, 512, 269, 513, 269, 1548, 568, 519, 12761, 540, 519, 9325, 593, 519, 942, 8884, 476, 272, 18016, 512, 18016, 476, 276, 286, 536, 269, 1548, 568, 519, 2698, 3845, 14612, 676, 519, 9325, 593, 519, 942, 8884, 476, 272, 18016, 512, 18016, 476, 276, 2496, 4375, 7151, 476, 1015, 5416, 264, 1107, 8827, 1635, 4214, 267, 596, 917, 602, 519, 12761, 568, 1924, 267, 519, 9325, 7575, 3952, 547, 519, 1318, 780, 2412, 7151, 476, 1015, 6357, 264, 1107, 8827, 1677, 1265, 519, 2698, 3845, 14612, 267, 5173, 4635, 7612, 476, 275, 269, 4391, 543, 519, 1249, 602, 642, 6025, 264, 666, 581, 1249, 1819, 607, 630, 339, 1107, 476, 272, 7565, 339, 1107, 476, 275, 7565, 339, 1107, 476, 276, 1070, 596, 666, 3313, 602, 642, 6025, 264, 21759, 476, 271, 593, 1496, 272, 267, 476, 275, 316, 543, 593, 642, 6025, 264, 18016, 476, 271, 593, 1496, 275, 267, 476, 276, 4940, 7612, 476, 275, 269, 4391, 733, 8910, 692, 6078, 7151, 476, 1015, 6357, 264, 1107, 8827, 1924, 267, 519, 2698, 3845, 14612, 568, 733, 8910, 0, 258, 3848, 476, 272, 910, 5623, 20113, 910, 8525, 476, 14321, 281, 476, 2537, 692, 259, 866, 266, 1704, 328, 6911, 2971, 4518, 5153, 676, 5153, 692, 8794, 18159, 320, 17070, 7565, 322, 266, 323, 6661, 659, 266, 611, 17070, 322, 17070, 323, 259, 610, 519, 29332, 6579, 6396, 543, 1210, 1269, 328, 317, 273, 15871, 272, 8961, 519, 2016, 4082, 18159, 276, 25829, 7565, 274, 266, 275, 328, 264, 2073, 259, 29776, 547, 1422, 8218, 15204, 2410, 331, 4153, 7528, 790, 26231, 30327, 348, 476, 276, 263, 274, 11924, 276, 263, 275, 328, 9984, 328, 263, 274, 9984, 328, 263, 275, 328, 264, 8607, 11138, 284, 476, 1428, 266, 736, 328, 268, 274, 328, 268, 275, 328, 317, 273, 8607, 11138, 284, 476, 1428, 266, 736, 328, 268, 274, 328, 268, 275, 8987, 272, 264, 8607, 11138, 284, 476, 1428, 266, 736, 328, 268, 274, 328, 266, 275, 8607, 11138, 284, 630, 1428, 266, 275, 11924, 263, 736, 328, 268, 274, 328, 264, 8607, 11138, 284, 476, 866, 266, 1704, 328, 1547, 315, 754, 15204, 10926, 5475, 596, 3409, 606, 2626, 596, 3580, 723, 476, 2190, 3108, 547, 6494, 538, 513, 8908, 269, 1323, 9375, 786, 2689, 519, 19169, 543, 2901, 15476, 707, 19169, 610, 1683, 1109, 12890, 3724, 269, 0, 258, 1858, 692, 263, 1042, 20526, 689, 8323, 1858, 994, 9827, 1336, 538, 281, 9218, 267, 634, 28445, 267, 6481, 267, 13751, 267, 11038, 563, 16665, 547, 8323, 1858, 281, 27177, 692, 5522, 2033, 22955, 9351, 272, 454, 28256, 4120, 705, 270, 273, 454, 1706, 5537, 6945, 705, 454, 5550, 4120, 705, 454, 338, 13645, 521, 273, 454, 15132, 548, 12631, 337, 273, 692, 22069, 1749, 11192, 17183, 9351, 272, 454, 2431, 9764, 12718, 476, 273, 11027, 692, 1012, 1858, 10484, 1889, 5501, 540, 519, 2450, 540, 513, 2627, 3148, 267, 2356, 6829, 538, 4559, 602, 616, 519, 4009, 540, 5276, 4559, 267, 552, 3052, 1421, 4009, 3952, 610, 4009, 7397, 269, 769, 10026, 9511, 267, 12596, 585, 519, 2127, 540, 519, 2241, 7077, 5515, 543, 519, 2627, 2127, 540, 2241, 17571, 616, 6508, 689, 519, 5276, 7516, 540, 891, 5515, 269, 6201, 616, 2016, 538, 519, 3349, 13886, 4813, 10358, 585, 15316, 19791, 13528, 10358, 585, 15316, 19791, 692, 5522, 2033, 22955, 9351, 272, 454, 28256, 4120, 705, 270, 273, 454, 1706, 5537, 6945, 705, 454, 5550, 4120, 705, 454, 338, 13645, 521, 273, 454, 15132, 548, 12631, 337, 273, 692, 22069, 1749, 11192, 17183, 9351, 272, 454, 2431, 9764, 12718, 476, 273, 11027, 454, 269, 634, 2127, 540, 12150, 5515, 267, 7077, 610, 4396, 267, 666, 581, 17223, 610, 5702, 4114, 13846, 676, 519, 946, 540, 7533, 11810, 20412, 639, 2676, 1962, 21123, 540, 6128, 602, 2090, 11179, 4657, 9424, 269, 634, 11810, 568, 6353, 676, 519, 946, 540, 12808, 3157, 267, 5473, 8574, 547, 513, 3970, 9789, 10206, 540, 512, 2056, 4724, 267, 610, 16042, 267, 606, 10700, 1871, 563, 563, 763, 1739, 2376, 568, 689, 634, 4279, 8168, 15610, 630, 3192, 280, 1040, 898, 1522, 581, 22573, 610, 1361, 10999, 21678, 780, 1012, 9351, 692, 320, 4909, 7274, 2404, 609, 12166, 5515, 269, 769, 519, 14724, 2013, 621, 568, 6027, 676, 519, 1297, 540, 1770, 10945, 20196, 568, 267, 10945, 609, 5011, 540, 1770, 3259, 20196, 6445, 513, 7077, 4137, 780, 763, 9819, 540, 2127, 729, 2907, 538, 25196, 835, 540, 519, 1034, 1271, 2042, 540, 4052, 9511, 1317, 540, 922, 1909, 538, 519, 6498, 540, 1612, 26118, 540, 2244, 269, 11153, 5553, 1354, 519, 5871, 16527, 267, 5259, 2520, 18852, 22234, 3169, 3652, 585, 519, 9819, 540, 2127, 269, 769, 21482, 573, 779, 15689, 891, 3652, 941, 7150, 538, 519, 1106, 540, 5376, 916, 269, 634, 2127, 540, 29977, 941, 5462, 676, 519, 1482, 2409, 540, 17883, 543, 1264, 7695, 540, 5515, 1031, 2221, 607, 3450, 3457, 538, 3506, 269, 634, 2127, 540, 5515, 609, 20078, 559, 710, 541, 6302, 941, 7229, 676, 519, 1505, 540, 25874, 267, 799, 267, 538, 513, 1978, 2631, 267, 3238, 8574, 547, 513, 3970, 780, 763, 3069, 540, 2127, 540, 7077, 5515, 22112, 676, 2241, 14258, 2443, 7474, 568, 267, 14258, 602, 798, 711, 12969, 2933, 1765, 4754, 581, 9112, 607, 5205, 269, 2913, 721, 2015, 1169, 20372, 602, 666, 581, 27485, 538, 543, 1169, 20372, 602, 666, 581, 4931, 30533, 539, 827, 513, 4137, 674, 269, 898, 1058, 581 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 883, 2272, 519, 1957, 11098, 267, 799, 949, 581, 1946, 621, 781, 4636, 269, 9320, 707, 1433, 814, 513, 4143, 1383, 538, 519, 3296, 2496, 275, 269, 8734, 476, 866, 267, 476, 1220, 278, 692, 2162, 1912, 13183, 558, 297, 599, 692, 2791, 2811, 1210, 519, 4636, 2418, 269, 634, 19852, 1858, 799, 568, 6252, 547, 519, 4294, 3196, 814, 4986, 547, 798, 609, 519, 2627, 1858, 540, 519, 24362, 269, 1656, 519, 19852, 2566, 5673, 593, 519, 19852, 1858, 799, 1590, 4096, 593, 519, 11098, 540, 519, 1957, 9212, 543, 519, 18592, 540, 519, 476, 279, 7825, 5858, 780, 276, 269, 8734, 476, 736, 267, 476, 1220, 278, 692, 2162, 521, 2089, 344, 290, 16810, 692, 13312, 8183, 7923, 780, 2971, 5900, 3737, 28567, 1384, 1892, 476, 30607, 2604, 27970, 454, 17572, 2450, 912, 275, 269, 278, 22995, 454, 21366, 912, 25313, 454, 277, 269, 8734, 476, 736, 267, 476, 1220, 278, 692, 2162, 3193, 343, 539, 692, 628, 3471, 585, 519, 3403, 543, 519, 6516, 16764, 269, 0, 31580, 692, 13356, 728, 2436, 596, 1131, 946, 513, 32089, 267, 513, 4999, 267, 610, 9444, 269, 8921, 267, 2328, 519, 3070, 1210, 32089, 10035, 610, 4999, 10035, 267, 952, 2009, 267, 543, 267, 6368, 267, 2626, 519, 2243, 780, 288, 8630, 609, 476, 4029, 2818, 568, 547, 2824, 2947, 10492, 630, 26078, 1211, 267, 13030, 7022, 267, 23122, 267, 14951, 337, 267, 543, 14787, 1040, 769, 875, 1082, 2081, 666, 713, 581, 2944, 888, 296, 3357, 909, 609, 476, 14028, 2081, 2676, 14188, 596, 543, 6153, 12784, 692, 272, 269, 26461, 491, 476, 271, 454, 273, 269, 26461, 492, 476, 271, 454, 274, 269, 26461, 479, 476, 4792, 454, 272, 269, 898, 568, 711, 10659, 1317, 519, 1931, 6927, 267, 621, 568, 32545, 269, 630, 297, 4141, 1223, 581, 2901, 7022, 610, 13030, 7022, 585, 1383, 543, 1346, 616, 711, 519, 1482, 994, 4029, 256, 14370, 4029, 268, 276, 264, 2336, 284, 476, 4029, 24425, 2918, 2336, 284, 476, 4029, 265, 1789, 265, 3066, 265, 2764, 265, 2767, 454, 284, 476, 736, 267, 4343, 280, 267, 17168, 692, 272, 269, 26461, 491, 476, 271, 454, 273, 269, 26461, 492, 476, 271, 454, 14006, 539, 676, 12456, 517, 454, 273, 269, 9684, 596, 12456, 517, 594, 3576, 4967, 547, 1294, 875, 952, 8813, 883, 1747, 780, 272, 269, 26461, 491, 476, 271, 454, 273, 269, 26461, 492, 476, 271, 454, 274, 269, 1411, 616, 10950, 563, 1607, 568, 513, 1434, 1383, 547, 1019, 604, 5166, 5573, 1063, 10659, 543, 32545, 692, 23382, 5209, 540, 476, 4029, 3144, 476, 276, 693, 513, 942, 1131, 581, 454, 4029, 256, 1315, 314, 476, 276, 256, 630, 4029, 268, 276, 25631, 476, 6540, 6546, 3217, 883, 2272, 782, 519, 1114, 2516, 540, 2947, 596, 666, 1118, 267, 855, 1281, 711, 1931, 519, 2947, 585, 1808, 5604, 780, 2252, 596, 1631, 2154, 513, 1114, 3903, 585, 1169, 5604, 1369, 519, 1895, 540, 476, 276, 267, 596, 786, 1205, 476, 276, 256, 610, 476, 6344, 2053, 607, 1082, 12417, 454, 736, 267, 4343, 280, 267, 17168, 1315, 476, 6344, 815, 476, 15433, 267, 26605, 454, 810, 594, 798, 711, 917, 1141, 596, 3893, 476, 14028, 692, 272, 269, 26461, 491, 476, 271, 454, 273, 269, 26461, 492, 476, 271, 454, 14006, 539, 676, 12456, 517, 692, 13436, 5999, 692, 272, 269, 2979, 692, 13356, 728, 2436, 596, 1131, 946, 513, 32089, 267, 513, 4999, 267, 610, 9444, 269, 8921, 267, 2328, 519, 3070, 1210, 32089, 10035, 610, 4999, 10035, 267, 952, 2009, 267, 543, 267, 6368, 267, 2626, 519, 2243, 269, 589, 8630, 609, 476, 4097, 2818, 568, 547, 692, 24216, 676, 682, 324, 23932, 31614, 593, 4873, 476, 274, 267, 476, 1001, 275, 454, 273, 269, 4569, 476, 14444, 692, 296, 2907, 1705, 519, 1101, 543, 3791, 2243, 594, 1175, 991, 930, 835, 547, 1118, 621, 2312, 547, 803, 1018, 646, 568, 6998, 585, 2243, 476, 273, 269, 670, 842, 4896, 5225, 7064, 269, 1548, 568, 519, 3017, 1063, 513, 4999, 543, 513, 32089, 286, 1548, 10881, 616, 692, 24216, 676, 2506, 800, 593, 5147, 476, 2767, 267, 476, 1220, 280, 454, 274, 269, 10789, 692, 273, 269, 6904, 568, 711, 513, 4999, 286, 910, 11155, 3151, 476, 274, 547, 25940, 585, 707, 16741, 910, 23164, 476, 274, 1053, 909, 538, 513, 4737, 910, 11155, 3151, 476, 273, 28916, 689, 513, 26745, 540, 476, 1015, 910, 19805, 476, 276, 1053, 547, 2099, 513, 1362, 540, 476, 1789, 476, 274, 269, 1215, 1082, 2081, 666, 596, 3442, 476, 274, 8286, 692, 24216, 676, 3683, 331, 867, 593, 4989, 476, 275, 267, 476, 1001, 278, 454, 275, 269, 2979, 948, 803, 692, 24169, 281, 476, 277, 290, 274, 630, 272, 1448, 264, 476, 6344, 476, 24798, 476, 736, 476, 13301, 476, 273, 269, 6904, 568, 711, 513, 4999, 286, 630, 272, 1448, 264, 7446, 476, 274, 547, 25940, 585, 707, 16741, 16298, 476, 274, 1053, 909, 538, 513, 4737, 7446, 476, 273, 28916, 689, 513, 26745, 540, 476, 1015, 7446, 476, 276, 1053, 547, 2099, 513, 1362, 540, 476, 1789, 476, 274, 780, 24216, 676, 544, 5417, 328, 593, 4989, 476, 1789, 267, 476, 1001, 276, 454, 276, 269, 10789, 476, 272, 692, 4692, 596, 5225, 2638, 1250, 960, 543, 948, 803, 609, 519, 2694, 602, 594, 1810, 1405, 1174, 286, 1280, 1142, 2680, 267, 3442, 519, 1034, 3617, 2165, 543, 4194, 519, 1966, 269, 476, 272, 269, 769, 513, 30908, 560, 1389, 609, 8370, 4627, 13366, 267, 519, 1101, 16771, 5697, 692, 24216, 676, 8349, 710, 593, 4989, 476, 2767, 267, 476, 1001, 275, 454, 277, 269, 4569, 692, 26668, 6486, 616, 18808, 689, 513, 16064, 540, 476, 2190, 6486, 547, 1106, 513, 552, 1276, 516, 1688, 269, 1772, 713, 513, 4999, 610, 32089, 286, 476, 275, 11051, 616, 6074, 1677, 1404, 519, 19468, 956, 538, 513, 4670, 269, 1772, 713, 4999, 610, 32089, 2496, 24216, 676, 12756, 593, 2904, 476, 1704, 267, 476, 1001, 276, 454, 278, 269, 2979, 692, 8620, 1079, 2042, 585, 707, 8284, 1053, 547, 4194, 269, 5269, 835, 540, 519, 2055, 513, 32089, 543, 519, 824, 835, 513, 4999, 269, 634, 32089, 594, 5795, 713, 1383, 269, 769, 875, 1082, 2081, 666, 649, 6582, 476, 279, 9413, 593, 513, 1433, 1582, 286, 634, 692, 24216, 676, 27692, 593, 4728, 476, 2420, 267, 476, 1001, 271, 692, 18744, 513, 2447, 626, 666, 581, 11967, 609, 519, 4999, 547, 519, 2922, 5627, 513, 9522, 540, 2724, 269, 634, 4999, 568, 519, 9063, 540, 3070, 589, 267, 4553, 676, 519, 9063, 540, 3070, 595, 269, 630, 1721, 1383, 281, 568, 519, 9063, 540, 3070, 589, 568, 476, 274, 269, 5325, 543, 519, 9063, 540, 692, 24216, 676, 8751, 593, 2904, 476, 1839, 267, 476, 1220, 279, 454, 280, 269, 4569, 630, 2181, 268, 4897, 322, 476, 1321, 2020, 6195, 9255, 814, 476, 1626, 19235, 269, 769, 875, 1082, 2081, 666, 596, 4283, 543, 4734, 519, 30806, 676, 1022, 10766, 286, 594, 6415, 711, 2386, 952, 713, 713, 568, 513, 4999, 610, 513, 32089, 269, 594, 1589, 621, 781, 513, 32089, 543, 1250, 2626, 568, 476, 16348, 2081, 269, 8729, 585, 519, 948, 780, 24216, 676, 808, 3570, 593, 4873, 476, 736, 267, 476, 1001, 277, 454, 1015, 269, 2979, 692, 7617, 1058, 581, 1031, 513, 32089, 610, 4999, 286, 14419, 519, 1297, 540, 1114, 2081, 538, 799, 513, 12233, 540, 2185, 666, 581, 6074, 689, 513, 1895, 540, 12964, 2818, 286, 5225, 2638, 1250, 2626, 815, 4999, 692, 24216, 676, 25553, 593, 2904, 476, 2641, 267, 476, 1001, 271, 692, 5415, 5381, 5999 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 814, 1044, 3989, 676, 1082, 4589, 543, 5238, 538, 2487, 2053, 269, 2311, 519, 2518, 1377, 267, 519, 1523, 540, 11483, 305, 729, 1101, 569, 5018, 538, 476, 4198, 274, 538, 519, 8313, 29770, 12892, 13786, 4850, 540, 6355, 2006, 587, 509, 676, 5261, 808, 269, 14332, 523, 269, 4340, 547, 1280, 15816, 630, 1001, 271, 1070, 9746, 1514, 5539, 1568, 538, 1079, 2081, 269, 634, 2754, 3947, 1394, 547, 519, 2486, 267, 538, 2490, 267, 1004, 1205, 547, 917, 827, 519, 2754, 945, 5280, 873, 1034, 543, 8597, 547, 741, 2472, 543, 2533, 563, 19119, 547, 519, 7577, 281, 476, 272, 269, 20865, 2883, 2773, 476, 273, 563, 299, 1077, 5665, 3790, 476, 274, 269, 8605, 3106, 543, 8519, 15668, 476, 275, 269, 4518, 4403, 4763, 476, 276, 269, 7457, 547, 3854, 476, 277, 269, 25841, 9431, 23388, 476, 274, 476, 278, 269, 2859, 2702, 547, 4482, 543, 11677, 5520, 476, 279, 269, 20523, 7607, 543, 2298, 476, 280, 269, 16842, 6455, 543, 6075, 14017, 476, 1015, 269, 24046, 6216, 3239, 543, 10639, 454, 19119, 547, 519, 7991, 543, 519, 4937, 5398, 476, 272, 269, 23654, 9525, 538, 2146, 2069, 267, 7694, 543, 26683, 15961, 476, 273, 269, 8605, 8881, 543, 2298, 476, 274, 269, 4077, 3386, 7418, 476, 275, 269, 31287, 15321, 15961, 7025, 11588, 476, 272, 269, 20523, 1570, 6691, 1464, 476, 273, 269, 20523, 946, 540, 7791, 2200, 476, 274, 269, 14568, 1587, 15006, 543, 10342, 476, 275, 269, 16949, 540, 2825, 2359, 2645, 883, 1870, 4566, 563, 3674, 711, 1007, 547, 3127, 269, 4886, 540, 11483, 305, 666, 581, 14360, 1394, 538, 1114, 11775, 799, 616, 607, 5205, 281, 634, 1101, 5123, 540, 11483, 305, 729, 15866, 5462, 676, 2528, 267, 4984, 267, 1920, 2245, 543, 4853, 5314, 269, 6355, 4238, 543, 11483, 305, 6278, 941, 1759, 5631, 593, 9746, 1582, 30625, 269, 9861, 519, 9510, 1106, 540, 11483, 305, 267, 17493, 543, 24960, 344, 1869, 3310, 11483, 305, 2853, 267, 2523, 538, 2146, 1646, 269, 769, 519, 840, 11897, 12009, 1974, 909, 547, 519, 476, 6977, 271, 338, 267, 22278, 8149, 2933, 585, 519, 3909, 4128, 267, 4687, 741, 5763, 267, 585, 3236, 267, 676, 2679, 17633, 269, 5047, 267, 9232, 1492, 1870, 2146, 13026, 513, 1713, 1747, 538, 3504, 3127, 543, 519, 22278, 3177, 8323, 538, 2053, 540, 6433, 971, 607, 26380, 610, 8623, 12515, 676, 6679, 979, 1673, 12495, 540, 1426, 543, 14951, 1750, 7370, 892, 630, 288, 2928, 320, 267, 476, 1220, 275, 1040, 7201, 7810, 4341, 267, 5375, 1826, 540, 22713, 6603, 3127, 543, 4957, 11483, 305, 689, 519, 476, 6977, 271, 338, 27477, 269, 634, 23806, 540, 22713, 538, 519, 476, 866, 628, 2540, 538, 3127, 941, 513, 1906, 3885, 971, 607, 519, 570, 1092, 267, 21960, 5055, 267, 645, 1690, 1690, 267, 700, 531, 321, 327, 2967, 267, 7203, 629, 327, 2967, 267, 2696, 516, 329, 267, 1744, 686, 1090, 267, 7327, 7315, 807, 267, 3525, 328, 267, 10067, 785, 571, 543, 1323, 5864, 8932, 267, 945, 941, 9244, 13991, 547, 24960, 1227, 12592, 11483, 305, 630, 300, 2129, 534, 267, 476, 1220, 272, 1040, 634, 2034, 5123, 540, 4095, 11483, 305, 630, 4489, 275, 268, 3422, 271, 264, 729, 13856, 676, 2197, 587, 509, 338, 6560, 585, 7115, 543, 6766, 21739, 676, 19413, 587, 509, 338, 3069, 540, 3972, 4315, 1222, 267, 799, 6322, 547, 19597, 622, 543, 24244, 1514, 1646, 269, 4438, 713, 1974, 267, 4095, 4213, 8362, 7722, 538, 519, 6963, 1184, 269, 3502, 1152, 519, 3549, 4718, 519, 2197, 587, 509, 338, 2804, 1646, 607, 513, 13889, 1996, 7810, 4341, 282, 855, 849, 789, 15548, 538, 922, 12250, 543, 1514, 1646, 630, 19328, 26844, 17072, 476, 1220, 273, 1916, 763, 17565, 540, 519, 968, 332, 12089, 4346, 5608, 609, 519, 11944, 540, 13662, 5825, 543, 15792, 9086, 593, 11668, 543, 1604, 4441, 267, 4299, 519, 3791, 5123, 540, 4095, 11483, 305, 630, 3422, 271, 268, 2735, 271, 1040, 901, 5123, 729, 849, 6353, 676, 6521, 689, 9746, 1582, 28832, 547, 7453, 3656, 543, 1857, 7939, 540, 1870, 2238, 269, 769, 713, 9183, 267, 519, 1857, 5823, 729, 2938, 607, 519, 6305, 544, 1478, 540, 1646, 269, 634, 476, 3422, 271, 338, 729, 4330, 607, 606, 968, 5028, 540, 4971, 543, 1852, 5608, 1317, 7453, 3656, 6042, 5462, 519, 2238, 540, 519, 4357, 5823, 269, 634, 4367, 540, 513, 12512, 540, 1164, 9204, 267, 844, 7974, 543, 12689, 1062, 13684, 9395, 9993, 593, 519, 4357, 5823, 543, 18549, 15427, 9746, 4731, 335, 847, 1182, 269, 1306, 513, 1267, 267, 9746, 10350, 267, 11668, 543, 2825, 2152, 9782, 593, 519, 2797, 16786, 543, 3533, 2968, 519, 1641, 540, 9086, 269, 5015, 267, 1533, 8128, 3964, 13662, 5825, 609, 519, 9837, 540, 10018, 532, 519, 3617, 3892, 540, 5763, 547, 519, 991, 344, 630, 288, 2928, 320, 267, 476, 1220, 275, 1040, 769, 519, 8772, 5123, 630, 2735, 271, 2394, 519, 1459, 264, 4095, 3549, 543, 8639, 3459, 10205, 532, 2757, 24960, 545, 6278, 543, 547, 930, 6708, 7471, 11483, 305, 883, 513, 17396, 543, 4264, 1870, 4640, 267, 14356, 12561, 519, 3818, 3613, 820, 14516, 1935, 269, 769, 519, 476, 1960, 271, 338, 267, 519, 4095, 2229, 15748, 15024, 547, 12666, 1125, 543, 632, 2958, 3634, 519, 4095, 4346, 676, 21365, 519, 28919, 540, 519, 968, 332, 12089, 4346, 892, 543, 6836, 547, 11753, 3127, 883, 519, 2518, 2344, 269, 9182, 267, 8060, 543, 6132, 775, 1062, 941, 14356, 27618, 267, 543, 519, 4095, 4346, 4810, 513, 14733, 22820, 267, 799, 814, 30174, 2394, 2221, 630, 288, 2928, 320, 1299, 8830, 534, 1731, 267, 476, 1220, 275, 1916, 4263, 1459, 267, 4095, 3549, 616, 1631, 4397, 547, 11166, 741, 8639, 587, 509, 9021, 543, 6848, 13800, 267, 2059, 609, 741, 23265, 587, 509, 5763, 12366, 1436, 3804, 269, 769, 3127, 607, 538, 519, 1964, 540, 519, 1158, 972, 568, 513, 3395, 20185, 602, 1870, 3112, 8011, 799, 14543, 538, 513, 2486, 269, 1323, 4998, 11483, 305, 814, 1312, 5683, 543, 10952, 7516, 267, 3226, 538, 3127, 1141, 972, 6818, 513, 2647, 7934, 1063, 6810, 540, 1004, 538, 2474, 540, 4747, 543, 4441, 607, 1134, 607, 8739, 20300, 4567, 269, 27009, 267, 3127, 814, 1044, 3957, 1851, 519, 1283, 4557, 7489, 2477, 9878, 2810, 2956, 2509, 23654, 4317, 26930, 630, 5425, 305, 264, 23930, 8155, 269, 14755, 519, 1857, 5823, 3549, 267, 621, 568, 519, 4357, 5823, 3549, 602, 5129, 8789, 1909, 538, 11483, 305, 2238, 563, 307, 1092, 6828, 267, 835, 540, 3127, 779, 9510, 267, 4102, 543, 1034, 15197, 1870, 598, 6921, 9593, 919, 267, 568, 513, 6205, 538, 519, 11483, 305, 6429, 269, 634, 570, 1092, 6828, 814, 1044, 6444, 676, 922, 20089, 547, 12250, 1125, 11483, 305, 538, 922, 476, 9834, 3549, 543, 11753, 11483, 305, 609, 922, 1870, 3157, 269, 2060, 513, 2178, 7029, 689, 922, 1283, 2359, 267, 621, 814, 2919, 2645, 971, 607, 519, 570, 1092, 12039, 585, 12655, 5274, 4886, 267, 513, 2203, 585, 7893, 519, 1514, 960, 602, 519, 1895, 16904, 22738, 269, 2060, 9541, 607, 1164, 607, 12652, 476, 23884, 5186, 516, 267, 519, 570, 1092, 6828, 568, 513, 25162, 585, 4095, 3549, 563, 307, 1092, 6828, 587, 509, 338, 11483, 305, 9541, 1331, 782, 2101, 4798, 267, 971, 607, 2069, 267, 1072, 267, 1604, 267, 6917, 1646, 267, 5026, 267, 6575, 543, 9441, 1894, 563, 26322, 9024, 328, 2510, 3962, 570, 1092, 2754, 814, 922, 1378, 14422, 538, 1514, 1646, 269, 634, 1292, 3549, 538, 519, 1895, 267, 971, 607, 570, 1092, 13082, 267, 570, 1092, 21281, 543, 570, 1092, 11906, 338, 267, 723, 538, 27440, 3906, 6131, 547, 7991, 9024, 328, 2510, 269, 1703, 616, 1896, 3785, 267, 538, 1114, 2127, 971, 607, 2069, 267, 1072, 267, 2021, 7302, 10242, 10304, 267, 6917, 1646, 267, 4747, 5108, 267, 5026, 267, 6575, 543, 1866, 269, 31287, 9534, 281, 634, 570, 1092, 6828, 814, 811, 982, 476, 25090, 267, 1822, 5520, 269, 570, 1092, 587, 509, 338, 941, 519, 23806, 538, 9441, 2640, 602, 941, 2663, 32486, 998, 9086, 538, 3127, 543, 11992, 538, 519, 1158, 269, 634, 5216, 16923, 2324, 1554, 267, 1863, 2564, 5351, 267, 10304, 13623, 267, 20494, 9330, 2281, 267, 4734, 609, 2628, 267, 1008, 1211, 2508, 267, 8009, 13180, 267, 2866, 32112, 267, 544, 24471, 2640, 267, 22429, 543, 11815, 8462, 941, 5189, 676, 519, 1895, 1354, 1022, 3656, 3652, 941, 29600, 593, 873, 269, 7991, 9024, 328, 2510, 281, 968, 307, 655, 1255, 540, 11310, 892, 7201, 519, 6828, 587, 509, 338, 1982, 547, 1020, 7740, 540, 1565, 543, 1382, 267, 1702, 543, 7214, 3854, 267, 570, 1092, 7482, 2947, 4095, 29770, 307, 655, 1255, 540, 11310, 587, 509, 912, 307, 25353, 1895, 814, 6074, 519, 1739, 9055, 547, 5397, 922, 11483, 305, 7341, 912, 13295, 267, 607, 2484, 607, 3127, 568, 7255, 267, 519, 2078, 1063, 11483, 305, 543, 6940, 666, 581, 24298, 607, 5205, 912, 6930, 495, 489, 19743, 256, 594, 6557, 707, 5100, 13930, 25138, 2336, 10673, 1406, 917, 1141, 547, 1376, 286, 7392, 707, 4170, 543, 594, 3580, 1921, 596, 547, 606, 4081, 4274, 1369, 476, 274, 3764, 10947, 948, 609, 707, 7084, 0, 2252, 596, 723, 5462, 602, 1603, 513, 5888, 568, 4010, 1018, 596, 1616, 547, 798, 585, 707, 1153, 2069, 267, 1287, 596, 4076, 1500, 519, 1101, 1900, 2509, 16180, 707, 7287, 269, 10749, 616, 519, 22449, 540, 4081, 1603, 267, 543, 789, 786, 991, 547, 581, 7768, 609, 13657, 543, 609, 519, 25932, 3007, 547, 1469, 269, 1703, 616, 1585, 2200, 799, 666, 948, 596, 1451, 519, 1983, 2838, 547, 2328, 606, 2500, 1557, 269, 1411, 1522, 1265, 891, 2645, 543, 3156, 3730, 538, 23115, 856, 875, 547, 2328, 606, 1557, 607, 851, 540, 707, 3341, 585, 2852, 269, 1358, 786, 849, 581, 5363, 952, 596, 723, 547, 2328, 606, 1557, 1247, 596, 616, 538, 2852, 563, 3080, 540, 519, 1034, 2629, 1919, 547, 1832, 538, 2247, 950, 21882, 606, 1557, 568, 547, 1376, 519, 1184, 609, 513, 4396, 26813, 269, 634, 4367, 568, 602, 519, 4062, 540, 713, 1557, 799, 538, 1249, 6585, 519, 3007, 540, 519, 5467, 543, 3123, 1864, 610, 1200, 547, 3136, 2542, 269, 901, 1797, 1519, 538, 707, 1557, 513, 5348, 18462, 540, 519, 2898, 2495, 540, 519, 1957, 267, 607, 1134, 607, 519, 9030, 2798, 799, 596, 2461, 2693, 547, 3142, 1927, 538, 707, 3932, 269, 898, 568, 1271, 547, 1331, 513, 3948, 799, 786, 2040, 909, 519, 3804, 540, 707, 1557, 267, 607, 1134, 607, 513, 13801, 7650, 540, 519, 1896, 3584, 799, 596, 4076, 5941, 3330, 519, 1957, 269, 634, 4367, 543, 519, 5758, 1058, 2611, 2241, 543, 13801, 865, 602, 707, 3988, 786, 711, 723, 513, 2182, 942, 1739, 707, 1557, 563, 2026, 4166, 607, 596, 4076, 3893, 513, 1434, 6679, 547, 707, 2376, 267, 596, 723, 547, 3533, 1711, 513, 1305, 909, 547, 707, 1292, 7440, 543, 1292, 25727, 269, 634, 1603, 6712, 540, 707, 1557, 786, 3622, 3382, 519, 5013, 602, 596, 616, 2324, 547, 1459, 2429, 707, 1557, 269, 1677, 581, 2111, 547, 1118, 713, 6712, 540, 707, 1557, 811, 2500, 543, 1447, 14845, 267, 621, 779, 16122, 602, 596, 5531, 782, 707, 1239, 543, 1344, 538, 835, 1747, 1354, 4098, 547, 2328, 519, 1557, 269, 272, 17512, 881, 1259, 547, 6582, 782, 707, 1382, 543, 5796, 568, 547, 1895, 621, 676, 1641, 269, 901, 14998, 596, 547, 1265, 782, 540, 519, 1239, 3533, 543, 1510, 17596, 547, 2007, 998, 519, 25985, 540, 1957, 1740, 563, 2691, 596, 4076, 3893, 782, 540, 707, 5013, 11231, 267, 621, 568, 942, 547, 1376, 1603, 519, 1560, 540, 707, 1557, 269, 901, 568, 1141, 1034, 1053, 23881, 614, 950, 621, 2501, 547, 1603, 3594, 269, 24269, 596, 2461, 1603, 606, 1557, 267, 621, 779, 1360, 2653, 547, 1831, 521, 573, 25523, 22486, 543, 9004, 3950, 540, 1018, 596, 2461, 12394, 547, 2161, 269, 1677, 581, 2111, 547, 1832, 3054, 593, 4305, 267, 596, 723, 547, 581, 1978, 596, 2328, 707, 1557, 9001, 1808, 9433, 563, 4407, 14592, 949, 1413, 607, 1498, 789, 1131, 581, 513, 562, 7572, 766, 547, 1711, 267, 538, 4641, 789, 666, 2731, 948, 596, 4688, 942, 543, 1118, 707, 1603, 1184, 18334, 269, 5675, 606, 1557, 568, 513, 4015, 540, 7294, 3268, 543, 621, 3340, 513, 1390, 4308, 540, 1585, 1919, 547, 581, 5340, 1354, 596, 616, 2111 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6078, 2410, 279, 15732, 11377, 26171, 476, 276, 269, 10219, 7807, 2765, 346, 6078, 2410, 279, 15732, 2439, 553, 19434, 476, 1109, 9802, 476, 2537, 267, 476, 1001, 278, 454, 258, 273, 454, 266, 277, 3445, 271, 454, 271, 692, 271, 269, 10219, 815, 476, 272, 270, 279, 692, 3383, 476, 276, 269, 10219, 815, 476, 276, 1341, 476, 272, 270, 279, 815, 476, 2412, 270, 279, 1341, 476, 272, 270, 279, 815, 476, 6078, 270, 279, 2433, 2020, 16655, 310, 784, 476, 1109, 9802, 476, 1839, 267, 476, 1001, 278, 692, 2162, 476, 280, 6732, 20305, 692, 2171, 946, 12897, 547, 2123, 1047, 1543, 543, 18537, 267, 547, 1683, 1514, 2923, 2934, 543, 547, 20272, 938, 6808, 269, 1284, 849, 2671, 1344, 827, 707, 946, 540, 938, 3135, 609, 938, 1514, 2923, 267, 10229, 543, 12642, 4891, 269, 476, 1109, 8450, 3877, 0, 1012, 11016, 267, 4989, 476, 1789, 267, 476, 1708, 272, 692, 2162, 1496, 3147, 644, 325, 14241, 316, 623, 749, 3830, 4967, 692, 10585, 630, 27168, 264, 623, 749, 3830, 568, 1535, 317, 273, 910, 667, 265, 344, 317, 273, 815, 1341, 272, 780, 17463, 623, 749, 3830, 568, 1535, 317, 273, 910, 667, 265, 344, 317, 273, 815, 910, 272, 269, 1109, 952, 596, 723, 513, 3070, 630, 343, 11971, 264, 547, 519, 2942, 623, 749, 3830, 267, 2196, 13053, 781, 1505, 7384, 21762, 20573, 264, 585, 835, 21767, 267, 4358, 609, 519, 7058, 2025, 24210, 30819, 269, 1109, 602, 568, 267, 1007, 815, 630, 1245, 1341, 667, 270, 1245, 8358, 273, 630, 1492, 20770, 1014, 1505, 568, 6697, 547, 13053, 781, 1505, 1040, 1109, 519, 3334, 540, 519, 4611, 6824, 1007, 343, 270, 2908, 344, 786, 581, 513, 3070, 547, 519, 2834, 623, 749, 3830, 281, 1007, 343, 317, 273, 910, 667, 265, 2908, 344, 317, 273, 815, 1341, 272, 780, 338, 6295, 519, 623, 749, 3830, 609, 4797, 8454, 568, 1360, 3551, 269, 1109, 12337, 519, 4797, 6824, 540, 21762, 20573, 1070, 2119, 782, 959, 15635, 725, 538, 1931, 540, 3259, 269, 1109, 585, 1142, 959, 15635, 566, 267, 6460, 547, 513, 2834, 6824, 1535, 30819, 543, 2638, 952, 1535, 543, 586, 4194, 519, 2834, 623, 749, 3830, 269, 1109, 972, 568, 1100, 991, 547, 18928, 12189, 519, 2063, 2165, 1354, 519, 959, 15635, 566, 1448, 607, 596, 798, 950, 1210, 4797, 8454, 547, 1265, 519, 5311, 540, 1655, 8454, 602, 16977, 513, 2016, 1297, 780, 553, 606, 11938, 267, 849, 2638, 2436, 1142, 630, 343, 11971, 264, 31758, 519, 2942, 623, 749, 3830, 267, 1287, 946, 519, 13053, 781, 1505, 8945, 1657, 547, 6460, 519, 2942, 3830, 3070, 547, 513, 2834, 3830, 3070, 269, 1109, 519, 10545, 2942, 3070, 630, 604, 835, 6818, 264, 786, 6460, 547, 519, 10545, 2834, 3070, 780, 1492, 1739, 5311, 540, 667, 2154, 2810, 2338, 540, 4797, 6824, 2474, 547, 4194, 269, 1109, 519, 13053, 781, 1505, 11938, 568, 3769, 267, 865, 649, 616, 10203, 519, 1297, 540, 4797, 6824, 2474, 2877, 547, 3914, 519, 1101, 2834, 610, 2942, 3070, 269, 1109, 891, 667, 2099, 2591, 540, 2810, 7411, 269, 1109, 519, 4583, 1871, 476, 8618, 568, 711, 593, 519, 1592, 269, 1109, 476, 8618, 3340, 1152, 476, 1556, 4797, 6824, 2474, 547, 1265, 513, 2942, 3830, 3070, 630, 343, 284, 29574, 1240, 267, 586, 284, 23884, 276, 1040, 1109, 621, 568, 17772, 2354, 539, 676, 519, 4130, 476, 5379, 799, 3340, 476, 1321, 2474, 585, 922, 10545, 3070, 630, 343, 284, 25838, 3374, 267, 586, 284, 3374, 279, 279, 1070, 799, 4523, 547, 4194, 519, 2834, 3830, 780, 273, 476, 274, 476, 278, 476, 1724, 476, 866, 476, 4029, 476, 6246, 476, 5379, 476, 11463, 476, 16928, 476, 14681, 476, 14917, 476, 21076, 476, 28664, 476, 275, 2641, 476, 276, 2918, 476, 6872, 272, 476, 2568, 275, 476, 277, 4029, 476, 4037, 272, 476, 6434, 277, 476, 280, 866, 476, 15782, 272, 476, 15171, 275, 476, 15793, 277, 476, 14681, 277, 476, 14341, 272, 476, 15094, 277, 476, 1001, 272, 476, 23211, 272, 476, 16348, 277, 476, 29045, 272, 476, 4968, 275, 476, 22145, 280, 476, 18357, 275, 476, 3607, 280, 272, 476, 4375, 274, 272, 476, 275, 1704, 275, 476, 4366, 275, 277, 476, 276, 1556, 280, 476, 277, 2641, 272, 476, 277, 3393, 272, 476, 5780, 278, 280, 476, 5780, 280, 275, 476, 31318, 277, 476, 279, 1839, 275, 476, 279, 6507, 280, 476, 8660, 275, 272, 476, 9032, 274, 280, 476, 4200, 275, 280, 476, 9818, 4200, 476, 11793, 7906, 476, 13040, 10619, 476, 10219, 6078, 476, 15782, 866, 476, 14530, 2918, 692, 1492, 5311, 2630, 568, 513, 6102, 775, 540, 519, 5311, 1657, 269, 1109, 585, 891, 2594, 1606, 23293, 667, 2418, 267, 519, 3070, 568, 547, 519, 2942, 3830, 267, 865, 596, 991, 547, 798, 835, 13053, 781, 1505, 21767, 26063, 267, 865, 519, 10545, 2834, 3070, 29099, 1804, 780, 273, 476, 1724, 476, 275, 2641, 476, 14341, 272, 476, 8660, 275, 272, 476, 4200, 275, 280, 476, 10219, 6078, 476, 15876, 6078, 476, 274, 4200, 4905, 476, 29024, 3066, 476, 28242, 8618, 692, 16341, 771, 23457, 670, 2532, 749, 2707, 3009, 568, 1934, 269, 1109, 621, 2882, 10230, 4152, 540, 519, 28756, 999, 7150, 1657, 780, 933, 1031, 519, 13392, 268, 597, 16884, 10189, 547, 12337, 519, 4797, 6824, 6041, 540, 4009, 5072, 269, 1109, 649, 1031, 519, 4797, 1922, 3555, 10189, 547, 6460, 4797, 8454, 547, 21929, 269, 1109, 2630, 568, 3009, 547, 6460, 513, 13392, 19450, 883, 606, 12808, 1592, 540, 4797, 6824, 2474, 267, 1210, 519, 4783, 1599, 269, 1109, 670, 2532, 749, 20362, 12808, 1239, 3889, 12461, 14688, 269, 0, 266, 271, 692, 271, 454, 5392, 454, 275, 692, 2252, 513, 568, 513, 3586, 971, 602, 1109, 315, 263, 280, 343, 317, 273, 1341, 476, 2190, 343, 1341, 513, 315, 264, 28812, 519, 4009, 540, 513, 23481, 267, 1287, 1018, 568, 513, 2496, 14257, 476, 1428, 267, 476, 1708, 271, 692, 258, 272, 454, 266, 272, 692, 320, 568, 476, 1626, 267, 2094, 519, 23481, 568, 540, 1106, 630, 274, 343, 266, 275, 8203, 273, 2094, 476, 274, 317, 273, 284, 280, 543, 476, 274, 265, 275, 265, 273, 284, 2190, 269, 476, 275, 317, 273, 284, 1626, 708, 20994, 602, 713, 568, 660, 2312, 610, 952, 621, 781, 4636, 780, 14257, 476, 1428, 267, 476, 1708, 271, 454, 258, 273, 454, 266, 26951, 8660, 454, 266, 272, 692, 280, 343, 317, 273, 1341, 476, 2190, 343, 1341, 513, 25883, 280, 630, 343, 317, 273, 1341, 476, 2190, 270, 280, 1535, 1341, 513, 270, 280, 264, 13725, 1412, 14814, 519, 4009, 28847, 280, 3287, 317, 273, 1341, 476, 2190, 270, 280, 343, 1109, 1341, 476, 13893, 270, 10037, 264, 3396, 1109, 1141, 476, 13893, 270, 10037, 815, 513, 270, 280, 3396, 1741, 513, 815, 476, 1626, 692, 280, 630, 1535, 1341, 476, 1321, 270, 280, 8203, 273, 692, 280, 1535, 317, 273, 1341, 476, 2190, 343, 1341, 476, 1626, 1109, 25883, 263, 274, 343, 266, 275, 8203, 273, 692, 14257, 476, 1428, 267, 476, 1708, 271, 454, 258, 274, 454, 266, 272, 692, 10472, 568, 865, 1454, 811, 2312, 982, 1250, 3070, 267, 7064, 2439, 10817, 652, 1109, 14257, 476, 1428, 267, 476, 1708, 271, 454, 258, 275, 454, 266, 272, 692, 14188, 596, 865, 1454, 2439, 268, 8008, 692, 10817, 652, 1109, 14257, 476, 1428, 267, 476, 1708, 271, 0, 258, 1772, 519, 1305, 540, 2338, 4399, 346, 1496, 333, 3867, 274, 270, 273, 348, 316, 1422, 13232, 562, 20728, 346, 606, 8870, 4153, 4151, 513, 4493, 540, 1931, 476, 274, 2496, 288, 1305, 540, 9981, 568, 1572, 513, 4493, 540, 1931, 554, 952, 1169, 1875, 17463, 8870, 666, 581, 2854, 607, 519, 2040, 540, 554, 711, 8209, 3982, 2609, 540, 519, 1305, 15301, 301, 987, 753, 517, 267, 5410, 1438, 7089, 7869, 267, 2985, 476, 278, 2020, 13295, 267, 585, 1383, 267, 519, 10945, 616, 513, 4493, 540, 1931, 476, 275, 269, 630, 17442, 294, 9792, 781, 14497, 2020, 13706, 519, 1305, 540, 2338, 1269, 306, 7807, 346, 1496, 333, 3867, 274, 270, 273, 348, 316, 1422, 13232, 562, 20728, 346, 606, 8870, 4153, 20954, 1141, 519, 4009, 23049, 5815, 519, 5432, 6989, 1599, 269, 901, 5956, 4399, 346, 271, 267, 272, 267, 273, 267, 276, 267, 279, 267, 1556, 267, 1691, 267, 1240, 267, 2420, 12101, 24126, 315, 23201, 1269, 306, 259, 568, 6157, 711, 513, 4493, 540, 1931, 476, 273, 282, 972, 568, 585, 1383, 1100, 1259, 547, 2328, 476, 1704, 607, 513, 2040, 540, 1079, 2338, 689, 1269, 306, 10608, 1772, 1269, 306, 259, 513, 4493, 540, 1931, 476, 274, 2496, 5415, 3622, 267, 585, 4399, 10401, 259, 3152, 982, 476, 272, 2073, 1577, 1269, 306, 7268, 10401, 21174, 346, 1496, 333, 17353, 10401, 348, 316, 1422, 13232, 562, 20728, 346, 606, 8870, 4153, 23201, 1280, 513, 2016, 8870, 1269, 330, 259, 568, 972, 606, 4399, 10401, 259, 971, 602, 1269, 306, 7268, 10401, 7751, 568, 513, 4493, 540, 1931, 1269, 330, 259, 286, 1403, 865, 267, 1018, 568, 519, 4102, 971, 4399, 10401, 259, 2496, 1892, 3657, 519, 959, 15635, 730, 4399, 2765, 476, 3953, 259, 7060, 513, 4493, 540, 1931, 1269, 275, 286, 15478, 4746, 267, 594, 1131, 581, 1256, 811, 5461, 952, 519, 1305, 9967, 540, 10945, 267, 18695, 543, 1269, 278, 259, 568, 513, 4493, 540, 1931, 476, 274, 286, 2290, 949, 2307, 827, 2147, 18304, 540, 3044, 5036, 1932, 269, 5463, 476, 2767, 267, 476, 1001, 275, 693, 476, 272, 281, 6795, 454, 1892, 1403, 4399, 10401, 815, 1422, 2765, 22669, 2410, 336, 4151, 568, 7787, 1287, 6157, 1269, 306, 7268, 10401, 7751, 3568, 1269, 306, 9638, 29408, 865, 952, 1269, 306, 9638, 7751, 568, 1634, 547, 581, 513, 4493, 540, 1931, 1269, 330, 259, 1287, 865, 568, 1269, 306, 7268, 10401, 30879, 1924, 596, 1205, 23451, 4947, 689, 23451, 593, 654, 2130, 781, 1966, 538, 713, 2013, 269, 5463, 476, 2767, 267, 476, 1001, 275, 693, 476, 274, 281, 6860, 454, 1892, 1325, 13512, 337, 333, 8271, 267, 2015, 1269, 330, 7268, 10401, 12101, 15883, 29408, 799, 4564, 519, 1931, 540, 2679, 1269, 306, 7268, 15883, 7751, 689, 1269, 306, 7268, 10401, 30879, 2334, 1522, 1291, 547, 4617, 855, 2653, 5580, 23451, 269, 5463, 476, 2767, 267, 476, 1001, 275, 693, 476, 275, 281, 6860, 454, 1892, 5395, 613, 328, 918, 3415, 698, 514, 9863, 602, 1169, 1804, 8870, 568, 519, 2040, 540, 1079, 2609, 540, 519, 1106, 1269, 314, 333, 23373, 10401, 316, 259, 585, 1022, 4399, 10401, 283, 274, 270, 273, 259, 630, 5408, 524, 1091, 269, 1356, 333, 26716, 270, 13440, 867, 270, 24798, 4200, 272, 11721, 3796, 270, 3974, 268, 1220, 275, 268, 5400, 277, 269, 1186, 286, 11437, 284, 272, 1040, 2423, 17067, 2677, 17924, 650, 619, 9863, 519, 1482, 585, 4399, 10401, 283, 275, 270, 274, 10608, 594, 3494, 519, 28756, 675, 568, 602, 519, 1482, 568, 3020, 585, 4399, 10401, 283, 273, 8961, 4352, 4399, 10401, 284, 274, 270, 273, 259, 1522, 581, 513, 2067, 8840, 1448, 607, 1134, 630, 324, 3052, 269, 594, 666, 1065, 17311, 930, 540, 2677, 17924, 650, 619, 2164, 538, 513, 1114, 1259, 267, 855, 519, 1505, 7948, 1405, 1205, 2147, 2164, 2250, 476, 274, 270, 273, 781, 1040, 5463, 476, 2767, 267, 476, 1001, 275, 693, 476, 276, 281, 4097, 454, 1892, 1703, 568, 513, 1267, 593, 11108, 1305, 585, 2040, 540, 1614, 971, 2338, 267, 1294, 834, 2750, 1061, 1308, 1305, 540, 513, 6041, 609, 27847, 7060, 257, 661, 269, 623, 269, 7195, 11961, 9222, 267, 631, 269, 2098, 269, 12275, 2801, 341, 267, 681, 269, 2098, 340, 1794, 7699, 267, 3095, 4732, 1440, 5424, 2593, 270, 14835, 270, 1015, 269, 1911, 278, 260, 273, 22661, 10441, 10619, 268, 24879, 268, 4962, 272, 277, 268, 279, 5463, 476, 2764, 267, 476, 1001, 275, 693, 476, 274, 281, 736, 0, 12709, 9732, 16572, 540, 16849, 9732, 4521, 540, 26959, 692, 258, 4521, 540, 26959, 1384, 1012, 9502, 543, 19247, 1384, 25187, 540, 26959, 568, 849, 1634, 607, 4031, 540, 7024, 269, 1306, 606, 2872, 568, 9450, 609, 519, 2799, 5092, 540, 2200, 267, 519, 8589, 1942, 630, 328, 4318, 1421, 519, 2179, 799, 568, 3773, 547, 519, 2698, 1942, 950, 519, 3977, 568, 2799, 676, 835, 1770, 264, 11081, 538, 930, 2665, 267, 4679, 538, 1866, 543, 538, 930, 267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 692, 763, 2887, 2329, 538, 519, 4661, 666, 581, 11609, 998, 519, 946, 540, 606, 25586, 587, 483, 10972, 8183, 281, 834, 288, 257, 25389, 519, 10421, 602, 621, 568, 851, 540, 1312, 5036, 834, 289, 257, 543, 834, 290, 2580, 855, 952, 835, 4564, 713, 607, 606, 25586, 6516, 267, 621, 666, 5693, 581, 2938, 602, 621, 568, 2009, 602, 513, 851, 540, 1305, 834, 289, 257, 568, 711, 851, 540, 1305, 834, 290, 2580, 1201, 5024, 519, 3932, 602, 834, 718, 645, 338, 616, 595, 338, 6231, 1012, 2871, 2830, 676, 7681, 692, 2162, 6201, 692, 5278, 11382, 690, 2065, 1806, 540, 16203, 676, 7681, 1384, 1892, 3627, 568, 513, 598, 7376, 269, 3627, 814, 3109, 4552, 269, 4475, 267, 782, 1004, 609, 3109, 4552, 616, 598, 5159, 563, 1892, 700, 1803, 568, 513, 5186, 12097, 6455, 2006, 269, 700, 1803, 23083, 1395, 528, 841, 269, 4475, 267, 1395, 528, 841, 568, 1165, 569, 563, 1892, 13191, 568, 1434, 693, 6128, 269, 13191, 568, 7988, 2716, 545, 269, 4475, 267, 782, 7988, 2716, 545, 1004, 616, 1434, 693, 6128, 563, 1892, 17363, 267, 20913, 267, 808, 1563, 267, 543, 6601, 1777, 616, 782, 2828, 540, 21013, 267, 543, 789, 616, 782, 4620, 1399, 20737, 269, 808, 650, 568, 513, 3659, 540, 21013, 945, 729, 1459, 950, 646, 729, 22867, 513, 4620, 1399, 6760, 282, 4061, 267, 808, 650, 568, 513, 4620, 1399, 7803, 780, 2162, 2871, 2830, 676, 7681, 607, 606, 740, 4630, 514, 655, 2887, 2329, 692, 10817, 2830, 676, 7681, 666, 3006, 849, 581, 513, 1826, 540, 740, 587, 483, 327, 7631, 655, 2887, 2329, 267, 952, 519, 4661, 6285, 513, 1268, 1317, 540, 519, 16726, 1063, 519, 5784, 540, 2576, 1818, 606, 4661, 543, 824, 28288, 540, 519, 4661, 16804, 272, 6012, 273, 6540, 1607, 1106, 540, 519, 4661, 568, 607, 5205, 1384, 1892, 6828, 589, 2306, 513, 1880, 3409, 563, 1892, 6828, 645, 267, 799, 568, 4867, 9763, 11874, 676, 519, 18579, 267, 2306, 519, 1482, 3409, 607, 6828, 589, 563, 1892, 4475, 267, 6828, 589, 568, 9763, 676, 519, 18579, 540, 519, 3409, 607, 2404, 609, 6828, 645, 267, 543, 9100, 1080, 875, 11874, 9763, 621, 568, 780, 2304, 1383, 540, 713, 2887, 2329, 1131, 581, 834, 7069, 18545, 585, 5604, 1175, 4607, 606, 23596, 618, 689, 519, 28523, 344, 670, 11596, 5948, 269, 1772, 602, 519, 4990, 540, 1268, 596, 1131, 1616, 547, 8917, 585, 12482, 2162, 27254, 676, 7681, 692, 763, 9266, 11201, 540, 834, 7666, 2830, 676, 7681, 257, 568, 8956, 676, 7681, 267, 1141, 835, 6811, 602, 2576, 610, 1945, 1590, 581, 18019, 1317, 540, 519, 1004, 610, 3906, 602, 616, 1644, 547, 621, 610, 6382, 1489, 621, 16804, 273, 316, 1280, 1383, 1384, 14300, 1384, 1892, 22893, 540, 13474, 2473, 4465, 811, 17587, 587, 483, 303, 686, 8240, 267, 4154, 1199, 1023, 267, 543, 5339, 17758, 982, 4961, 540, 13474, 962, 269, 4475, 267, 513, 12504, 540, 13474, 2473, 568, 9120, 547, 513, 12504, 540, 13474, 962, 563, 1892, 27722, 814, 513, 5639, 1826, 543, 12332, 799, 3947, 513, 22973, 12705, 269, 27722, 568, 513, 1286, 6455, 2006, 543, 3081, 547, 5561, 602, 1010, 6517, 616, 538, 1434, 2783, 269, 4475, 519, 6517, 616, 538, 1434, 2783, 563, 1892, 769, 1082, 22099, 267, 4213, 8185, 946, 519, 6240, 540, 8956, 676, 7681, 269, 1280, 1383, 267, 606, 10694, 22557, 17367, 786, 2161, 602, 513, 1808, 1587, 568, 1434, 269, 634, 4482, 4369, 540, 519, 22557, 17367, 3947, 519, 1587, 1434, 12205, 780, 1012, 31595, 32573, 527, 692, 288, 1106, 540, 519, 7681, 2887, 2329, 1419, 1031, 676, 1346, 27102, 513, 1134, 28004, 3621, 610, 3140, 20790, 568, 519, 865, 10777, 834, 29727, 850, 334, 32573, 527, 1701, 314, 274, 316, 634, 4661, 4422, 602, 2094, 31595, 729, 28457, 539, 538, 1010, 942, 855, 2663, 17019, 547, 581, 1318, 267, 602, 2094, 741, 1875, 31720, 6894, 5784, 616, 1008, 3183, 7759, 545, 2544, 543, 18349, 689, 824, 3744, 267, 789, 786, 2663, 581, 6444, 607, 2953, 1932, 16804, 275, 316, 634, 31595, 32573, 527, 568, 30096, 538, 602, 1373, 28457, 539, 1281, 711, 8209, 30136, 609, 1373, 1318, 543, 602, 1082, 1004, 945, 723, 1044, 28457, 539, 538, 1686, 941, 267, 538, 1249, 267, 4636, 16804, 274, 6012, 276, 316, 6684, 267, 14161, 587, 483, 306, 12298, 814, 7150, 602, 1247, 789, 561, 13774, 1117, 693, 19090, 543, 519, 19159, 29564, 267, 834, 16269, 849, 561, 13774, 1117, 693, 4425, 15605, 587, 483, 1492, 587, 483, 290, 31500, 2668, 314, 277, 6012, 278, 6540, 1012, 11872, 692, 272, 269, 9745, 6997, 1601, 328, 699, 267, 7812, 595, 269, 630, 1321, 4873, 476, 1001, 275, 1040, 834, 293, 718, 2329, 281, 587, 483, 10817, 2830, 587, 483, 3528, 587, 483, 10112, 27937, 2668, 634, 715, 714, 330, 528, 5741, 269, 21444, 689, 519, 587, 483, 13092, 593, 476, 275, 5239, 476, 1001, 279, 269, 8158, 476, 1321, 4873, 476, 1001, 275, 563, 273, 269, 9745, 513, 536, 12456, 518, 267, 570, 269, 11977, 630, 2641, 5988, 476, 1220, 279, 1040, 834, 277, 281, 12096, 9313, 602, 15329, 622, 519, 25684, 7600, 19118, 2668, 5900, 22326, 587, 483, 293, 5435, 344, 587, 483, 3725, 1783, 532, 281, 587, 483, 288, 587, 483, 303, 24411, 587, 483, 10817, 728, 587, 483, 1729, 587, 483, 293, 718, 2329, 6363, 872, 587, 483, 26855, 3701, 630, 277, 628, 1196, 12175, 595, 1263, 720, 4804, 269, 533, 269, 1109, 12208, 269, 9768, 1109, 7818, 268, 272, 268, 9340, 268, 278, 4200, 866, 268, 280, 563, 274, 269, 9745, 513, 536, 19811, 267, 22784, 333, 630, 1789, 5239, 476, 1001, 273, 1040, 18409, 4944, 31857, 281, 587, 483, 23804, 587, 483, 293, 9711, 587, 483, 514, 587, 483, 1492, 587, 483, 21848, 587, 483, 1993, 587, 483, 300, 529, 15574, 269, 8871, 9220, 639, 7734, 269, 6032, 269, 1109, 2767, 1700, 2764, 269, 9768, 1109, 7818, 268, 272, 268, 277, 1626, 1691, 268, 277, 3374, 268, 272, 563, 275, 269, 9745, 589, 916, 6577, 267, 20574, 269, 834, 28403, 1944, 587, 483, 19859, 560, 24780, 587, 483, 293, 718, 9313, 257, 630, 14457, 1040, 533, 269, 1109, 2420, 269, 8158, 476, 2190, 4728, 476, 1001, 275, 563, 276, 269, 9745, 717, 832, 7288, 267, 587, 483, 21837, 630, 2764, 4728, 476, 1220, 276, 1040, 634, 587, 483, 29727, 850, 334, 587, 483, 294, 3711, 527, 269, 21727, 995, 6184, 565, 775, 269, 21444, 689, 519, 3312, 593, 476, 2764, 5988, 476, 1001, 279, 563, 277, 269, 9745, 1744, 777, 10098, 267, 12049, 681, 269, 630, 1220, 277, 1040, 634, 587, 483, 312, 1446, 587, 483, 9349, 587, 483, 1993, 587, 483, 5226, 582, 725, 269, 23171, 2160, 4964, 269, 6032, 269, 1109, 32133, 269, 9768, 1109, 7818, 27157, 18089, 278, 7176, 273, 563, 278, 269, 9745, 590, 12298, 267, 14161, 630, 3192, 280, 1040, 7935, 8619, 781, 587, 483, 28090, 281, 587, 483, 8269, 27928, 587, 483, 517, 587, 483, 1492, 587, 483, 305, 558, 766, 587, 483, 1993, 587, 483, 16631, 269, 15932, 5600, 269, 533, 269, 1109, 5038, 780, 1012, 22108, 692, 289, 12118, 540, 713, 2985, 568, 538, 9504, 269, 7956, 568, 2139, 896, 519, 16671, 15760, 4149, 288, 476, 274, 269, 271, 1133, 19959, 17821, 269, 6348, 17856, 2923, 616, 2139, 896, 741, 9138, 27121, 269, 9504, 10378, 568, 513, 10805, 22028, 540, 519, 22816, 12855, 7690, 267, 5549, 269, 654, 31082, 296, 476, 273, 568, 606, 4830, 2754, 543, 814, 1100, 30901, 609, 22816, 12855, 7690, 269, 0, 2971, 15645, 730, 1234, 281, 9185, 16754, 692, 305, 639, 8688, 3752, 578, 18223, 4157, 692, 17098, 9400, 10484, 296, 1294, 1100, 3017, 538, 1250, 3268, 543, 16523, 286, 2433, 2020, 12552, 10484, 305, 639, 8688, 692, 4002, 9947, 476, 2918, 267, 476, 1001, 280, 267, 693, 476, 1015, 281, 6349, 7537, 267, 9400, 25306, 2999, 5341, 731, 339, 1248, 518, 5655, 287, 1862, 285, 5206, 1384, 296, 6557, 711, 2386, 1946, 21651, 779, 5528, 4769, 1406, 960, 585, 803, 267, 855, 594, 1705, 519, 1739, 543, 621, 5249, 563, 1103, 536, 6200, 281, 815, 4596, 7419, 2316, 293, 16360, 273, 281, 289, 1911, 2437, 8133, 5602, 2562, 536, 9083, 267, 815, 4596, 7419, 14011, 16360, 273, 281, 289, 1911, 994, 1103, 536, 9818, 267, 815, 289, 6200, 20324, 9083, 692, 2414, 1449, 713, 267, 594, 2322, 513, 8786, 538, 536, 273, 543, 3143, 538, 536, 1911, 563, 296, 3893, 476, 272, 607, 519, 1267, 540, 9811, 779, 267, 476, 273, 538, 519, 1267, 585, 1297, 540, 2281, 609, 1239, 538, 536, 9083, 267, 543, 1547, 2004, 538, 536, 9818, 799, 1287, 15175, 519, 1297, 1826, 547, 2600, 267, 3893, 476, 2004, 269, 876, 269, 1109, 594, 1705, 711, 21898, 4657, 519, 8918, 4025, 689, 519, 9949, 780, 295, 8025, 2676, 32178, 692, 13425, 856, 1250, 1357, 3135, 693, 281, 1109, 4178, 6745, 1248, 518, 5655, 2593, 454, 10527, 670, 3558, 670, 32304, 781, 6651, 547, 519, 30982, 814, 713, 547, 2161, 593, 519, 1641, 540, 10760, 269, 1109, 1703, 568, 606, 1148, 267, 621, 3081, 267, 610, 2864, 267, 513, 5679, 871, 547, 10760, 269, 634, 5679, 871, 6013, 538, 1565, 875, 547, 12235, 3054, 693, 519, 2666, 543, 4413, 1701, 4534, 291, 537, 6921, 553, 17566, 267, 689, 5020, 267, 634, 17807, 543, 18421, 267, 533, 269, 6795, 692, 5804, 281, 1109, 10852, 287, 329, 325, 342, 3052, 12952, 269, 1470, 283, 10852, 287, 329, 325, 342, 3052, 12952, 269, 1470, 285, 1109, 4002, 2142, 327, 2788, 2986, 1109, 305, 639, 8688, 3752, 578, 18223, 4157, 454, 306, 550, 281, 1109, 26607, 11888, 267, 4873, 476, 2918, 267, 476, 1001, 280, 476, 278, 281, 7871, 7537, 454, 2414, 281, 1109, 10852, 287, 329, 325, 342, 3052, 12952, 269, 1470, 454, 20428, 281, 1109, 3725, 281, 9185, 16754, 692, 17098, 19378, 10484, 4131, 779, 2161, 596, 723, 8786, 610, 1100, 538, 2281, 645, 273, 547, 645, 1911, 269, 769, 1591, 645, 6200, 267, 610, 16382, 596, 6999, 267, 1826, 519, 4542, 2676, 15575, 2252, 16360, 273, 281, 289, 1911, 2223, 8133, 892, 1916, 1607, 786, 2285, 596, 519, 1297, 540, 2281, 609, 968, 8133, 892, 538, 873, 563, 10190, 267, 538, 645, 9083, 267, 610, 945, 1197, 596, 6999, 267, 1826, 519, 4542, 2676, 284, 15575, 288, 16360, 273, 281, 289, 1911, 994, 9616, 519, 4484, 968, 288, 892, 1310, 968, 15575, 892, 538, 519, 1657, 4542, 563, 1607, 786, 2285, 596, 519, 2698, 1297, 540, 2281, 538, 6241, 645, 602, 723, 1239, 563, 3086, 267, 547, 5173, 519, 6871, 540, 2281, 609, 968, 8133, 892, 538, 873, 267, 538, 1591, 645, 9818, 267, 610, 16382, 267, 1826, 519, 4542, 2676, 284, 289, 6200, 20324, 9083, 454, 2791, 616, 12270, 519, 1297, 540, 968, 8133, 892, 676, 519, 2698, 1297, 540, 2281, 609, 1239, 563, 2791, 786, 1205, 513, 1297, 899, 476, 271, 269, 6858, 610, 1945, 899, 602, 269, 4964, 11632, 12435, 1341, 476, 272, 1247, 538, 602, 1591, 543, 1689, 519, 1297, 11249, 547, 20587, 720, 267, 3442, 519, 1297, 540, 8918, 4025, 596, 6999, 547, 1397, 267, 543, 9184, 547, 15528, 780, 28775, 713, 2337, 780, 305, 639, 8688, 692, 4002, 9947, 476, 1839, 267, 476, 1001, 280, 267, 693, 476, 276, 281, 1704, 6751, 267, 19378, 1299, 1744, 27553, 13648, 2999, 322, 809, 322, 12522, 287, 1862, 285, 5206, 1384, 17098, 2353, 10484, 8794, 9185, 476, 1001, 277, 267, 8837, 476, 1015, 543, 519, 1699, 4528, 540, 29273, 16703, 269, 1109, 594, 723, 606, 9185, 6656, 538, 6241, 589, 594, 723, 519, 4305, 513, 1268, 1590, 1685, 269, 1109, 769, 28758, 645, 594, 786, 2626, 9811, 610, 1100, 952, 789, 666, 1685, 519, 4305, 269, 1109, 3371, 568, 1250, 3390, 267, 594, 1616, 547, 1711, 513, 4542, 693, 519, 5377, 540, 6241, 645, 547, 3313, 952, 789, 12943, 9811, 547, 476, 3199, 260, 540, 519, 2055, 269, 1109, 594, 1131, 7494, 5660, 707, 6351, 2439, 17556, 557, 692, 18794, 1292, 287, 329, 325, 342, 3052, 12952, 269, 1470, 547, 8850, 4309, 782, 1895, 6835, 269, 0, 346, 314, 5401, 300, 20687, 9948, 10926, 9349, 5658, 621, 692, 346, 314, 5401, 300, 20687, 9948, 10926, 258, 554, 342, 289, 3607, 910, 13673, 7417, 476, 25240, 476, 6349, 670, 6865, 11246, 3036, 298, 6789, 306, 22218, 16774, 476, 3607, 9603, 29443, 13718, 1607, 12744, 2982, 3817, 476, 272 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2929, 536, 335, 323, 267, 519, 772, 2529, 269, 6052, 6176, 10029, 630, 292, 8656, 264, 1767, 593, 13638, 267, 909, 689, 3013, 814, 1831, 519, 1283, 3282, 26148, 2197, 538, 519, 1158, 267, 1813, 538, 851, 547, 519, 2504, 540, 891, 9649, 3282, 3549, 269, 1452, 3657, 519, 8262, 7465, 13813, 1160, 3027, 619, 538, 519, 2136, 2276, 1923, 634, 7763, 2917, 674, 944, 772, 2529, 269, 19020, 3282, 2504, 2063, 3018, 5734, 476, 1556, 2929, 29054, 829, 1554, 630, 321, 335, 323, 264, 585, 519, 1101, 942, 538, 519, 4182, 781, 1686, 267, 519, 6052, 4972, 1767, 593, 13723, 267, 607, 519, 5571, 22820, 538, 32549, 2136, 2276, 19020, 3282, 2504, 17379, 2094, 8757, 513, 4130, 6281, 2504, 8445, 538, 476, 2735, 279, 630, 8619, 4310, 676, 1325, 2532, 534, 2504, 1070, 855, 2799, 1586, 689, 476, 1220, 280, 547, 476, 1001, 276, 269, 11192, 2504, 540, 19020, 3282, 689, 476, 3192, 271, 998, 476, 1220, 277, 729, 476, 9083, 5479, 29054, 630, 1626, 269, 273, 6398, 476, 1015, 9745, 476, 280, 544, 476, 274, 1070, 610, 10199, 2947, 543, 513, 3368, 2053, 519, 7771, 538, 9863, 14425, 269, 634, 2136, 2276, 269, 634, 3232, 3282, 2504, 602, 519, 2136, 2276, 568, 3743, 585, 2501, 547, 513, 2698, 540, 936, 19939, 2929, 29054, 829, 1554, 269, 2060, 513, 11315, 7447, 540, 476, 1321, 267, 10482, 267, 1822, 645, 11520, 540, 3282, 267, 519, 2136, 2276, 814, 1044, 513, 1283, 3282, 6721, 2197, 585, 1296, 2390, 1296, 269, 634, 1533, 779, 476, 1001, 278, 2504, 568, 8806, 513, 6824, 540, 519, 476, 3192, 271, 8445, 630, 4792, 2929, 29054, 1070, 855, 621, 779, 513, 2101, 6345, 4543, 519, 2136, 2276, 1831, 519, 7887, 3282, 6721, 2197, 538, 519, 1158, 454, 2190, 8734, 476, 1001, 276, 13813, 2504, 538, 8478, 3790, 5176, 1269, 5392, 829, 22902, 269, 13870, 3790, 1472, 1269, 6078, 513, 22902, 538, 4516, 269, 769, 519, 2136, 2276, 267, 2504, 3790, 616, 454, 276, 4239, 476, 1001, 276, 2060, 3282, 2504, 2810, 676, 476, 272, 267, 1822, 260, 1063, 476, 1220, 274, 543, 476, 1001, 276, 267, 3345, 21241, 814, 476, 276, 269, 278, 5479, 29054, 540, 8810, 14425, 543, 3812, 476, 4375, 278, 476, 275, 9947, 476, 1001, 280, 2475, 13813, 13870, 676, 3557, 267, 476, 2735, 272, 268, 1001, 279, 269, 23897, 1343, 540, 29054, 829, 1554, 269, 1234, 2452, 269, 476, 271, 476, 4335, 476, 272, 267, 1822, 476, 272, 267, 4335, 476, 273, 267, 1822, 476, 273, 267, 4335, 476, 2735, 274, 7147, 476, 273, 267, 4366, 279, 14522, 476, 272, 267, 7597, 277, 476, 4029, 4239, 476, 1001, 280, 772, 2529, 269, 19020, 2504, 865, 1563, 5176, 476, 7785, 1822, 29054, 829, 1554, 538, 634, 2136, 2276, 814, 1831, 519, 1158, 781, 4102, 3282, 16073, 609, 3977, 476, 274, 4924, 476, 1708, 271, 769, 476, 1001, 279, 267, 1247, 2504, 729, 2810, 267, 519, 2698, 1297, 540, 19401, 6721, 19020, 3282, 543, 2067, 3154, 538, 519, 2136, 2276, 8593, 547, 476, 7176, 273, 1822, 267, 1524, 8242, 772, 2529, 269, 13813, 543, 7849, 13937, 28243, 676, 13870, 15580, 1867, 2982, 875, 476, 1704, 3967, 476, 1708, 271, 634, 1158, 781, 7887, 19020, 3282, 16073, 4718, 922, 3977, 6175, 676, 476, 274, 267, 1822, 536, 335, 323, 538, 519, 1533, 540, 14522, 267, 855, 2333, 676, 476, 1911, 267, 1822, 536, 335, 323, 538, 824, 2829, 19612, 19020, 3282, 14425, 538, 519, 2136, 2276, 538, 476, 1001, 276, 3160, 539, 476, 3374, 269, 273, 5479, 29054, 269, 11192, 6469, 19020, 3282, 2504, 30714, 827, 476, 279, 267, 12010, 267, 1822, 29054, 829, 9197, 8775, 13813, 13870, 538, 519, 2136, 2276, 8519, 547, 476, 14096, 8064, 645, 13993, 22230, 270, 272, 298, 538, 5412, 689, 476, 12553, 8064, 645, 13993, 22230, 270, 272, 298, 538, 5437, 540, 476, 1001, 280, 269, 9197, 8775, 13813, 13870, 538, 519, 0, 2026, 960, 5829, 2126, 4648, 267, 649, 723, 1044, 1134, 16041, 609, 2553, 543, 10372, 547, 4188, 10450, 543, 4247, 585, 11570, 563, 7712, 519, 3592, 782, 519, 8608, 5088, 806, 2029, 267, 621, 949, 1419, 581, 18447, 543, 11566, 585, 4587, 6738, 5725, 547, 10994, 519, 2361, 540, 2029, 585, 513, 16221, 540, 4128, 563, 5575, 540, 782, 267, 4587, 6738, 5725, 8959, 547, 9921, 609, 3875, 585, 519, 4066, 8246, 2221, 543, 513, 2603, 540, 1810, 1406, 723, 519, 2702, 602, 568, 17916, 1118, 946, 540, 2029, 538, 519, 6073, 267, 607, 606, 1383, 267, 741, 6264, 18244, 798, 269, 4033, 4128, 2029, 1223, 581, 4101, 585, 4587, 4079, 616, 7817, 18125, 540, 519, 10172, 1184, 971, 607, 8519, 7499, 1035, 8462, 267, 6217, 23043, 267, 543, 7214, 6175, 267, 782, 540, 891, 666, 1039, 593, 883, 519, 17140, 540, 1565, 513, 6216, 1007, 2702, 563, 32701, 267, 972, 616, 17053, 2409, 676, 799, 744, 307, 9439, 666, 8115, 519, 2029, 2230, 543, 1294, 2409, 547, 4217, 519, 1344, 6529, 950, 3450, 10509, 3435, 547, 4587, 6738, 5725, 563, 272, 269, 14419, 9751, 13910, 454, 2791, 666, 1265, 2185, 3119, 5686, 540, 1565, 6272, 267, 3308, 267, 513, 1116, 267, 1224, 11320, 1679, 543, 2168, 270, 7219, 20469, 563, 8139, 875, 513, 1268, 16137, 1134, 17188, 547, 547, 581, 2111, 547, 10146, 519, 1082, 3608, 1259, 538, 799, 547, 1397, 873, 563, 3286, 6875, 713, 1449, 547, 1451, 707, 6075, 779, 1565, 2511, 267, 543, 1491, 621, 707, 1582, 952, 596, 2461, 6148, 711, 6857, 540, 707, 1565, 602, 568, 1378, 1374, 269, 0, 289, 312, 918, 288, 2316, 292, 966, 13263, 3201, 292, 454, 2467, 568, 1100, 12990, 585, 3207, 269, 6145, 1426, 267, 5135, 267, 543, 1216, 267, 3207, 568, 1898, 547, 2226, 2790, 543, 2168, 1134, 5630, 269, 769, 2221, 779, 2486, 267, 6595, 2564, 2533, 630, 32209, 264, 4600, 4431, 547, 18002, 476, 2190, 3108, 513, 1554, 267, 5722, 2395, 513, 3018, 267, 543, 476, 18458, 2395, 513, 1032, 269, 661, 5960, 10986, 616, 711, 4761, 547, 519, 2168, 267, 2790, 267, 543, 3929, 4539, 540, 3207, 22975, 269, 27326, 5712, 1510, 3207, 267, 22314, 3207, 267, 543, 2324, 1996, 519, 1560, 779, 2067, 27266, 11733, 666, 14207, 519, 7145, 540, 519, 661, 5960, 11832, 543, 10556, 2773, 267, 4611, 711, 1152, 538, 11093, 3461, 3106, 693, 1981, 855, 849, 538, 17672, 4539, 547, 519, 661, 5960, 11832, 269, 4014, 649, 3112, 2057, 476, 2190, 16923, 4238, 267, 12820, 543, 5520, 666, 1491, 3800, 547, 7413, 519, 2360, 540, 3207, 22975, 593, 661, 5960, 4431, 619, 563, 2171, 1590, 3207, 547, 2226, 3339, 2157, 540, 5042, 1983, 971, 607, 4633, 267, 3965, 267, 2565, 3206, 267, 543, 2631, 540, 942, 269, 1677, 1174, 519, 2360, 540, 3207, 22975, 543, 18312, 960, 3108, 593, 606, 1367, 779, 1072, 267, 596, 991, 547, 917, 1018, 3207, 568, 267, 1018, 3123, 621, 267, 1018, 922, 2360, 616, 267, 543, 1946, 621, 568, 865, 1271, 563, 28036, 568, 513, 2067, 1533, 540, 1964, 602, 11942, 513, 29260, 1599, 538, 519, 12214, 267, 14715, 267, 543, 5626, 2829, 269, 898, 568, 6353, 676, 4389, 610, 15534, 9637, 267, 5266, 17735, 10444, 2534, 267, 543, 538, 13808, 540, 782, 17319, 6091, 269, 10610, 1949, 616, 17468, 676, 3207, 267, 799, 814, 2318, 2360, 593, 2208, 267, 7067, 267, 4761, 3252, 267, 543, 10894, 2238, 563, 6944, 9009, 547, 1455, 3661, 267, 3207, 568, 2965, 606, 3742, 267, 6896, 1184, 269, 1215, 543, 950, 649, 3207, 568, 18170, 676, 1896, 2188, 269, 2368, 2188, 649, 666, 1852, 267, 971, 607, 2436, 610, 711, 649, 616, 3207, 27226, 267, 543, 930, 649, 3112, 1852, 267, 971, 607, 938, 4835, 6211, 9219, 269, 3776, 4835, 9219, 21560, 938, 6211, 11733, 267, 849, 1634, 607, 27266, 11733, 269, 28210, 538, 519, 20968, 31726, 540, 519, 2634, 267, 713, 16220, 23553, 7271, 8060, 18819, 540, 10332, 1145, 267, 1560, 2837, 267, 543, 9449, 2504, 936, 513, 476, 2190, 16923, 1974, 563, 4306, 8980, 2464, 5508, 590, 4041, 7968, 454, 28036, 4386, 538, 5933, 267, 799, 1491, 1747, 693, 1114, 2053, 1282, 519, 3781, 543, 616, 5258, 883, 1079, 6688, 281, 4028, 3750, 3350, 630, 3918, 300, 264, 3207, 543, 1875, 1905, 573, 3750, 3350, 630, 301, 3918, 300, 264, 3207, 269, 715, 3918, 300, 3207, 4386, 607, 3207, 5956, 543, 568, 1287, 2417, 5258, 883, 2185, 5933, 602, 5815, 24482, 4514, 3207, 563, 25111, 476, 272, 568, 519, 5912, 1063, 10332, 1145, 543, 546, 4900, 1465, 269, 634, 2634, 543, 1560, 1831, 811, 17159, 269, 10610, 2837, 12772, 267, 543, 7244, 3587, 811, 2834, 269, 8609, 476, 272, 568, 513, 1360, 1769, 3207, 282, 519, 11739, 4177, 949, 581, 32570, 539, 3362, 610, 1867, 602, 646, 729, 711, 12008, 269, 901, 3942, 568, 1360, 5618, 267, 9434, 1152, 2947, 547, 476, 1015, 3764, 563, 25111, 476, 273, 16569, 5111, 476, 736, 3764, 269, 22165, 3107, 4806, 543, 2295, 2557, 2253, 547, 3500, 1524, 269, 4438, 713, 3942, 267, 513, 1268, 19380, 9637, 269, 590, 5151, 971, 607, 6217, 616, 11603, 269, 12619, 619, 666, 1869, 581, 26901, 539, 855, 711, 607, 3362, 607, 1282, 519, 1101, 3942, 540, 3207, 563, 1805, 1137, 476, 274, 543, 476, 275, 616, 11775, 540, 2620, 3207, 269, 4438, 3942, 476, 274, 267, 519, 2634, 5956, 547, 3132, 2620, 267, 3500, 2634, 6329, 1634, 607, 18232, 6329, 269, 22165, 3107, 543, 2295, 2557, 616, 693, 741, 9803, 1377, 282, 10894, 2534, 25815, 282, 543, 10399, 3743, 585, 2208, 267, 1646, 267, 543, 5160, 7816, 616, 9658, 1540, 563, 25111, 476, 275, 568, 519, 27811, 5123, 540, 3207, 267, 9434, 5111, 476, 1789, 3764, 269, 4438, 2620, 3207, 267, 513, 1268, 3587, 1360, 2352, 547, 32570, 269, 1403, 26901, 539, 267, 646, 949, 1869, 1745, 9240, 1375, 344, 543, 2746, 7444, 547, 2168, 543, 11913, 15128, 269, 901, 1974, 540, 3207, 568, 519, 1034, 29260, 269, 634, 1560, 568, 2016, 519, 4316, 547, 2973, 572, 267, 7816, 267, 543, 29915, 622, 3294, 563, 7661, 267, 3207, 7575, 883, 519, 31087, 5123, 269, 4438, 713, 3803, 5123, 267, 835, 3587, 17303, 1612, 3315, 7458, 609, 519, 9868, 540, 519, 4064, 269, 22165, 3107, 543, 2295, 2557, 2333, 543, 1831, 811, 12150, 269, 10552, 2604, 11385, 919, 269, 634, 4064, 546, 691, 1394, 543, 8521, 267, 8754, 519, 2012, 968, 1905, 573, 3750, 3350, 1848, 4438, 31087, 3207, 267, 8823, 543, 4555, 689, 519, 1554, 616, 9268, 267, 543, 1034, 29681, 4386, 563, 10376, 3207, 4783, 16569, 5111, 476, 3445, 3764, 543, 949, 10956, 2185, 610, 2947, 2053, 513, 3781, 267, 855, 519, 3339, 3207, 4783, 5311, 786, 711, 581, 4553, 952, 31087, 3207, 568, 29169, 269, 589, 1268, 779, 1377, 540, 10332, 1145, 5673, 593, 799, 3942, 540, 3207, 646, 729, 538, 950, 32570, 539, 269, 769, 5933, 476, 272, 543, 476, 273, 267, 519, 1268, 949, 1745, 811, 25805, 543, 18589, 1117, 982, 952, 26901, 539, 1282, 3942, 476, 274, 610, 476, 275, 267, 950, 519, 1268, 2833, 513, 1533, 540, 10539, 543, 23465, 811, 7444, 547, 2168, 610, 11913, 15128, 563, 306, 4041, 7968, 667, 7968, 305, 4353, 9569, 6730, 700, 32670, 20796, 298, 670, 5495, 11965, 454, 28036, 22975, 4386, 950, 513, 1268, 14543, 547, 1205, 6190, 2298, 3207, 610, 2833, 513, 27266, 11733, 19717, 269, 1403, 513, 1268, 4991, 1447, 3207, 982, 519, 2634, 3340, 267, 602, 1268, 568, 267, 676, 4214, 267, 3207, 27226, 269, 1703, 568, 267, 538, 1249, 267, 513, 2647, 2039, 540, 3207, 942, 602, 568, 2808, 968, 7538, 1848, 634, 3328, 1268, 4991, 5111, 476, 278, 269, 276, 3108, 540, 3207, 1142, 3781, 267, 855, 930, 1004, 798, 1360, 1134, 609, 607, 2370, 607, 2947, 3108, 540, 3207, 269, 2311, 2547, 2185, 547, 2947, 3108, 540, 796, 5793, 32152, 3207, 616, 2556, 547, 2226, 5934, 2773, 2157, 563, 1103, 2221, 779, 2486, 267, 3207, 568, 4749, 9833, 607, 513, 17195, 3079, 540, 513, 13766, 269, 5915, 21505, 960, 16131, 543, 6521, 960, 616, 519, 1007, 2343, 1023, 538, 938, 476, 2190, 16923, 2486, 269, 29196, 960, 3322, 2324, 3544, 519, 6093, 968, 280, 547, 476, 276, 892, 1870, 1554, 269, 3776, 476, 2190, 16923, 2486, 3340, 1271, 2533, 581, 3177, 693, 782, 2053, 269, 11879, 2533, 1331, 1857, 3106, 971, 607, 7128, 267, 3595, 267, 543, 661, 5960, 7426, 282, 4108, 8878, 282, 6283, 282, 543, 1857, 20848, 971, 607, 5122, 1379, 267, 1216, 267, 543, 15146 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12852, 2023, 543, 1715, 333, 5069, 267, 11062, 2160, 269, 769, 5466, 519, 1888, 540, 968, 342, 1580, 543, 5708, 2223, 26741, 325, 13187, 602, 7293, 16526, 2429, 1686, 723, 12936, 2021, 779, 7115, 269, 4329, 267, 602, 585, 2021, 547, 3132, 1390, 1568, 540, 3332, 267, 789, 991, 2883, 7115, 543, 513, 2168, 2230, 540, 741, 1378, 267, 3090, 1242, 676, 519, 2140, 834, 320, 4055, 540, 835, 781, 1378, 1701, 769, 519, 1557, 267, 26741, 325, 12116, 519, 1686, 540, 2021, 781, 1603, 543, 8711, 519, 7687, 543, 12886, 2021, 5185, 538, 519, 5339, 1158, 2429, 1686, 269, 2701, 11363, 519, 2956, 540, 2021, 2348, 519, 5191, 547, 2328, 543, 2769, 2933, 1510, 1373, 11658, 676, 6848, 8155, 543, 4008, 2861, 6788, 563, 310, 944, 325, 849, 12538, 883, 519, 2856, 540, 543, 5766, 2106, 344, 267, 11021, 602, 547, 1711, 1390, 1148, 267, 1312, 2367, 543, 2021, 1058, 9784, 7907, 12926, 2404, 609, 1312, 25469, 267, 8840, 1863, 689, 7522, 4008, 5107, 269, 15788, 267, 589, 18740, 540, 2290, 781, 13574, 568, 513, 8903, 15594, 1257, 602, 2712, 2471, 585, 3152, 7862, 543, 3255, 585, 2021, 538, 3332, 543, 2486, 607, 513, 2898, 269, 898, 5170, 547, 581, 513, 1713, 960, 538, 15594, 5339, 9880, 543, 814, 6273, 1082, 547, 2263, 543, 4161, 4008, 2861, 5380, 538, 1148, 543, 3332, 269, 634, 1034, 11599, 543, 1271, 1101, 7160, 538, 26741, 325, 781, 9998, 1592, 540, 10875, 5339, 10781, 269, 0, 19604, 4034, 532, 519, 19355, 1648, 2813, 676, 3425, 543, 2067, 3157, 568, 6225, 585, 519, 1604, 267, 543, 11226, 538, 5870, 2121, 25179, 8511, 3154, 5786, 9072, 269, 12650, 1005, 543, 14291, 19355, 1648, 689, 1769, 267, 3002, 543, 10237, 578, 2314, 1765, 3697, 1346, 689, 15261, 19712, 543, 1591, 11436, 1765, 20041, 5201, 814, 5458, 1761, 547, 1379, 519, 2104, 563, 8245, 517, 2605, 6471, 2160, 630, 306, 293, 308, 264, 7548, 540, 4264, 1648, 4702, 630, 306, 7417, 264, 966, 4532, 523, 15605, 623, 1815, 684, 807, 568, 3384, 2326, 602, 6460, 19355, 543, 3653, 1648, 883, 5201, 269, 3571, 23499, 12655, 8838, 29741, 16361, 3194, 6828, 29377, 1382, 693, 519, 10167, 540, 11418, 4702, 267, 2326, 2257, 543, 6323, 269, 1358, 1353, 519, 3601, 540, 13476, 7874, 267, 7792, 2326, 1765, 3697, 5214, 15373, 832, 1765, 4310, 538, 513, 3099, 540, 5907, 543, 5100, 3457, 269, 1358, 849, 8495, 519, 3498, 540, 891, 2326, 547, 1711, 519, 1985, 5108, 540, 3859, 2281, 543, 11418, 563, 306, 293, 308, 4264, 1648, 4702, 7548, 966, 4532, 523, 15605, 623, 1815, 684, 807, 568, 3384, 1648, 16276, 3457, 267, 899, 713, 3859, 1591, 267, 1759, 593, 13476, 7874, 2326, 547, 6460, 19355, 543, 3653, 1648, 883, 5201, 454, 303, 1815, 684, 807, 5063, 3366, 513, 2319, 540, 476, 14138, 18368, 6444, 3744, 547, 1711, 513, 3102, 6538, 610, 968, 5802, 14090, 892, 547, 3391, 2518, 3646, 547, 6460, 19355, 1648, 883, 2973, 1379, 269, 634, 10003, 14090, 593, 6052, 28610, 532, 10049, 729, 3370, 538, 519, 4750, 540, 8212, 10049, 563, 763, 31387, 17767, 1896, 2188, 538, 519, 13287, 540, 3039, 543, 4264, 1648, 269, 634, 2518, 3621, 4674, 568, 6385, 3395, 269, 634, 7903, 547, 1118, 5054, 543, 2238, 607, 3608, 607, 2009, 1765, 10843, 5100, 4872, 267, 5100, 5321, 543, 8856, 6683, 267, 585, 1383, 267, 568, 849, 8375, 563, 1607, 568, 519, 1101, 942, 513, 5001, 3060, 540, 1648, 16276, 4966, 723, 5249, 1927, 547, 1628, 513, 3102, 11891, 540, 891, 4066, 543, 5750, 513, 1576, 585, 741, 13120, 563, 26668, 2101, 4485, 547, 1648, 16276, 1331, 22425, 923, 630, 2775, 4882, 6897, 5148, 5513, 29741, 7879, 630, 1721, 1383, 267, 2870, 5201, 689, 21513, 610, 11508, 5148, 2650, 345, 29741, 7879, 630, 332, 17467, 602, 1711, 5201, 896, 2566, 5148, 5925, 325, 15968, 1648, 16276, 282, 543, 5687, 29741, 7879, 630, 332, 17467, 602, 6460, 3002, 883, 5201, 1916, 2171, 12038, 609, 7548, 623, 1815, 684, 807, 827, 1010, 1382, 563, 1692, 1705, 596, 4383, 547, 3142, 1927, 936, 476, 1911, 3744, 547, 12840, 593, 519, 31387, 888, 9961, 1250, 1382, 4876, 267, 594, 723, 5249, 538, 1585, 7158, 538, 2342, 267, 5607, 267, 543, 3345, 3013, 267, 799, 814, 4847, 803, 547, 3715, 513, 5318, 3060, 540, 3056, 4966, 538, 22425, 923, 543, 824, 1648, 16276, 4066, 269, 1879, 594, 6603, 856, 547, 930, 540, 891, 17066, 827, 519, 31387, 1788, 267, 789, 941, 25981, 547, 6443, 538, 269, 1717, 267, 547, 2327, 602, 519, 31387, 729, 3102, 543, 4988, 782, 4143, 1382, 2127, 267, 594, 849, 9450, 1250, 3406, 3564, 1250, 3318, 3060, 998, 606, 3573, 3332, 2689, 543, 676, 5275, 3277, 23552, 689, 9164, 3238, 538, 519, 31387, 563, 1432, 6273, 596, 547, 1491, 593, 713, 1788, 888, 296, 22885, 519, 968, 305, 1933, 14090, 593, 6052, 28610, 532, 10049, 892, 12592, 676, 519, 1761, 540, 1648, 16276, 2326, 547, 2743, 519, 3747, 585, 2973, 1648, 563, 5804, 513, 1382, 29459, 267, 594, 2219, 602, 22745, 713, 31387, 1131, 948, 7753, 3392, 3645, 17337, 543, 6536, 519, 3444, 1790, 3326, 1588, 540, 1585, 1648, 16276, 4066, 269, 11569, 267, 594, 16119, 3494, 602, 519, 5348, 1120, 2065, 5610, 540, 3309, 1648, 16276, 4066, 568, 1883, 547, 14027, 938, 2702, 547, 5352, 2973, 1648, 269, 5047, 267, 676, 21821, 532, 1158, 6122, 8172, 4966, 547, 1683, 513, 4464, 23302, 5133, 593, 519, 2361, 267, 594, 4941, 519, 31387, 547, 2709, 5583, 547, 3173, 593, 9621, 8846, 602, 1223, 1491, 721, 547, 519, 1985, 5108, 540, 1648, 3771, 1407, 1562, 563, 7661, 267, 607, 606, 19829, 267, 594, 4718, 519, 31387, 607, 606, 4316, 547, 8300, 7820, 5481, 547, 1831, 3238, 538, 519, 2361, 543, 960, 2509, 519, 5075, 540, 2973, 1648, 20471, 267, 9170, 563, 1432, 616, 930, 540, 519, 1648, 16276, 4066, 7396, 538, 519, 31387, 286, 7102, 3078, 1007, 2127, 540, 1761, 888, 763, 31387, 6227, 782, 2101, 4485, 547, 16276, 19355, 1648, 267, 1519, 1769, 267, 7344, 2962, 630, 7945, 607, 21513, 1070, 3002, 267, 543, 10237, 578, 2314, 630, 7945, 607, 1346, 1031, 676, 1591, 11436, 543, 15261, 19712, 1040, 1280, 1142, 1935, 267, 519, 31387, 7710, 519, 1761, 540, 1585, 2326, 1373, 21503, 585, 811, 3608, 1648, 7503, 269, 589, 1880, 5031, 568, 11255, 1769, 16276, 267, 606, 1858, 602, 1250, 1895, 568, 849, 8362, 3384, 269, 10765, 8441, 723, 8507, 538, 7503, 31931, 540, 19355, 11255, 1769, 883, 5201, 540, 909, 547, 476, 2412, 2600, 267, 609, 1761, 585, 1256, 2362, 31931, 540, 909, 547, 476, 2568, 2600, 269, 901, 568, 513, 1713, 1646, 267, 607, 19355, 1769, 568, 4922, 2139, 543, 666, 1683, 1164, 1648, 3977, 829, 1770, 1858, 269, 4475, 267, 713, 2029, 533, 2314, 519, 1259, 585, 519, 946, 540, 19355, 1769, 547, 1379, 513, 3376, 2039, 540, 3156, 563, 4692, 596, 1683, 1806, 540, 3457, 602, 946, 1904, 29741, 16361, 286, 1548, 568, 519, 12655, 8838, 29741, 16361, 3194, 6828, 4867, 2324, 593, 609, 713, 2029, 888, 18893, 29741, 16361, 568, 513, 2361, 602, 13315, 513, 2647, 2039, 540, 3457, 1759, 593, 15373, 832, 267, 971, 607, 3859, 2281, 267, 1769, 15041, 9231, 1019, 3941, 630, 29612, 10525, 1070, 543, 1585, 8596, 585, 3782, 267, 5100, 5321, 267, 543, 5100, 5663, 269, 8838, 29741, 16361, 666, 581, 1336, 538, 1082, 3344, 540, 938, 2729, 267, 689, 938, 5321, 547, 938, 28737, 543, 3564, 269, 2311, 1250, 1382, 1895, 267, 649, 616, 6131, 547, 4264, 1904, 29741, 16361, 1382, 269, 3776, 1445, 568, 593, 3384, 3859, 2281, 543, 8596, 609, 1164, 6940, 12632, 3379, 547, 6671, 1904, 29741, 16361, 269, 1284, 3035, 713, 676, 1210, 15373, 832, 602, 666, 581, 9102, 267, 799, 6971, 1570, 543, 1648, 4616, 607, 1134, 607, 3790, 2404, 609, 1904, 29741, 16361, 5663, 269, 901, 1935, 568, 1898, 547, 14027, 519, 946, 540, 3859, 2281, 543, 1904, 29741, 16361, 538, 938, 3232, 2729, 267, 5009, 2825, 6940, 267, 543, 5355, 938, 2949, 2298, 540, 1272, 563, 1692, 666, 5461, 1053, 543, 3173, 1451, 811, 827, 519, 31387, 267, 1648, 16276, 267, 1904, 29741, 16361, 543, 713, 2361, 540, 1382, 888, 763, 834, 305, 1933, 14090, 593, 6052, 28610, 532, 10049, 257, 786, 581, 513, 3119, 1565, 4199, 585, 519, 1576, 968, 306, 7417, 476, 275, 4037, 910, 6052, 28610, 532, 10049, 2223, 799, 594, 993, 22745, 713, 4832, 607, 851, 540, 24700, 308, 781, 12655, 6052, 7177, 1982, 269, 901, 1576, 786, 1683, 24700, 308, 1053, 609, 519, 4316, 547, 1451, 875, 547, 1374, 1648, 16276, 2326, 543, 3457, 547, 7561, 6460, 19355, 1648, 883, 5201, 269, 6206, 8711, 786, 1331, 16823, 29468, 2016, 676, 2872, 4966, 543, 1533, 6361, 7308, 19603, 20682, 1141, 1053, 786, 1451, 875, 547, 1374, 543, 5958, 622, 3859, 2281, 689, 15072, 563, 296, 786, 849, 581, 16475, 513, 1357, 14373, 593, 1648, 16276, 2326, 2663, 713, 1032, 609, 519, 9525, 540, 513, 1297, 540, 1158, 6122, 8172, 4966, 609, 7247, 594, 1071, 22052, 23482, 519, 31387, 269, 901, 786, 581, 606, 3078, 4316, 585, 519, 24700, 308, 2146, 543, 3564, 547, 581, 6273, 676, 519, 7207, 543, 1761, 540, 1648, 16276, 4066, 547, 723, 513, 6209, 1764, 593, 938, 3232, 2729, 269, 594, 4126, 547, 1294, 1082, 540, 596, 972, 2336, 2690, 811, 267, 3643, 519, 12655, 8838, 29741, 16361, 3194, 6828, 543, 2638, 856, 519, 24700, 308, 5240, 1650, 281, 6820, 4966, 15974, 513, 2619, 4464, 538, 10451, 2973, 1379, 689, 3653, 1648, 563, 306, 293, 308, 5640, 666, 3914, 856, 547, 741, 12200, 10618, 543, 6725, 2319, 585, 1489, 4687, 741, 960, 607, 513, 3377, 1650, 610, 593, 1514, 9055, 269, 1358, 666, 1831, 24700, 308, 2923, 4966, 267, 12334, 606, 2376, 547, 634, 22062, 566, 4516, 267, 610, 9930, 3729, 741, 960, 585, 513, 7647, 8765, 8177, 540, 519, 10432, 9043, 269, 0, 1692, 798, 596, 1449, 5958, 585, 16756, 720, 888, 1692, 547, 12433, 28577, 1744, 8667, 720, 20587, 720, 538, 12275, 618, 543, 7956, 850, 12752, 888, 268, 5153, 476, 272, 281, 16259, 519, 11547, 1449, 3732, 563, 268, 5153, 476, 273, 281, 12763, 1354, 11067, 563, 268, 5153, 476, 274, 281, 25169, 519, 5958, 3732, 563, 268, 5153, 476, 275, 281, 16959, 519, 3732, 1310, 11067, 563, 268, 5153, 476, 276, 281, 12763, 1310, 11067, 563, 1432, 568, 16756, 720, 1449, 538, 19135, 888, 2005, 568, 513, 1184, 538, 799, 5958, 10155, 3587, 4130, 982, 922, 3312, 2450, 269, 898, 4523, 2901, 3259, 3772, 610, 8700, 8797, 610, 1312, 269, 898, 5673, 593, 1585, 2188, 971, 607, 6151, 1570, 267, 5958, 1818, 5773, 267, 18138, 3092, 563, 1432, 1281, 16756, 720, 1449, 1611, 888, 293, 5419, 16756, 720, 568, 1031, 607, 513, 3815, 602, 11887, 519, 2242, 538, 3259, 543, 8700, 540, 5958, 1310, 11067, 621, 269, 634, 16756, 720, 568, 10416, 1813, 547, 519, 946, 540, 18633, 543, 1970, 7779, 1570, 1031, 538, 519, 5958, 269, 1403, 519, 1570, 568, 711, 1434, 621, 786, 10929, 519, 16756, 720, 1510, 3819, 2973, 519, 9660, 563, 2690, 799, 5958, 1058, 2285, 16756, 720, 888, 23777, 1227, 2067, 17234, 971, 607, 10412, 267, 32028, 267, 15144, 267, 543, 16536, 616, 811, 12155, 547, 16756, 720, 267, 1247, 10991, 17234, 971, 607, 562, 14125, 267, 4874, 6856, 267, 543, 28778, 616, 811, 7123, 269, 1744, 8667, 720, 568, 849, 811, 1455, 538, 1970, 7779, 17234, 602, 946, 1447, 7123, 586, 541, 985, 602, 723, 811, 12701, 538, 873, 666, 22775, 811, 3362, 563, 1692, 798, 596, 5173, 16756, 720, 888, 8138, 339, 847, 519, 3803, 2450, 689, 519, 3312, 2450, 547, 1265, 519, 2179, 540, 519, 16756, 720, 269, 1280, 1383, 267, 952, 513, 5433, 4009, 695, 337, 3855, 689, 476, 279, 4009, 6279, 547, 476, 277, 4009, 6279, 267, 10208, 476, 277, 689, 476, 279, 267, 4611, 538, 476, 273, 4009, 6279, 540, 16756, 720, 269, 19147, 519, 2179, 540, 16756, 720, 676, 519, 3312, 2450, 547, 1265, 519, 16756, 720, 2557, 563, 3674, 476, 276, 260, 16756, 720, 513, 2603, 888, 10214, 519, 1095, 327, 8667, 532, 1184, 786, 711, 2061, 513, 25099, 689, 1022, 4990, 540, 16756, 720, 1498, 1107, 1034, 23157, 1689, 538, 519, 11547, 693, 2547, 476, 274, 268, 276, 9077, 799, 568, 1447, 982, 596, 8910, 2731, 5469, 563, 1692, 568, 16756, 720, 6871, 7229, 888, 1432, 568, 16756, 720, 3970, 1449, 888, 288, 16756, 720, 3970, 1449, 3947 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 532, 15360, 689, 9164, 267, 19217, 832, 267, 610, 16293, 2488, 3255, 585, 2208, 267, 5578, 1646, 267, 543, 3181, 4361, 532, 1310, 4101, 3871, 630, 294, 19128, 1777, 1696, 620, 1421, 476, 1001, 276, 1040, 12056, 538, 9263, 29013, 2516, 610, 11504, 19014, 2636, 23464, 547, 1451, 689, 4810, 4648, 543, 1628, 11215, 5121, 563, 275, 269, 8447, 1072, 281, 26875, 1944, 3207, 267, 3635, 267, 543, 1697, 6484, 8309, 3648, 547, 4824, 7099, 267, 1648, 2157, 267, 543, 5042, 1599, 630, 3725, 2106, 9529, 267, 476, 1001, 278, 1040, 11822, 11941, 899, 6220, 3232, 15211, 267, 8026, 10649, 267, 610, 7594, 4058, 666, 6556, 8101, 1279, 3856, 2640, 563, 276, 269, 20154, 10459, 281, 17115, 2502, 538, 2238, 602, 15052, 4276, 609, 2696, 18791, 23464, 32375, 267, 7175, 873, 547, 1732, 4196, 741, 7249, 2958, 725, 630, 306, 5632, 1047, 1299, 7665, 773, 267, 476, 1001, 278, 1040, 27302, 267, 6426, 1353, 267, 10847, 20343, 267, 543, 10283, 538, 5485, 571, 906, 6830, 1518, 835, 781, 2078, 609, 519, 10143, 267, 3246, 32351, 1282, 3843, 2053, 780, 6962, 692, 2026, 10766, 26283, 540, 5132, 543, 7426, 540, 29009, 1416, 267, 23464, 1404, 11358, 5107, 1369, 3909, 2950, 269, 1635, 12561, 18532, 1582, 13282, 2853, 267, 789, 2327, 4264, 7145, 543, 2061, 25794, 267, 7551, 7393, 1312, 2123, 543, 7104, 30436, 269, 1306, 7239, 1332, 5051, 1950, 267, 519, 991, 585, 15508, 2635, 267, 14156, 7123, 267, 543, 6935, 958, 740, 30794, 26110, 3587, 811, 10296, 269, 4475, 267, 10115, 538, 23464, 1582, 13282, 13054, 513, 2565, 2460, 540, 3743, 5718, 543, 19642, 1369, 4168, 18591, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 8865, 585, 18321, 281, 18270, 908, 16593, 538, 10076, 2657, 5516, 454, 763, 8865, 585, 18321, 281, 18270, 908, 16593, 538, 10076, 2657, 5516, 454, 290, 20975, 281, 11553, 3722, 2316, 4753, 18161, 19860, 454, 292, 878, 2480, 531, 1047, 267, 1912, 6185, 269, 1299, 7033, 22735, 267, 3798, 6185, 563, 306, 2869, 3770, 640, 568, 12357, 267, 855, 1483, 269, 898, 814, 6035, 9118, 6634, 513, 1747, 540, 9675, 267, 24176, 267, 4313, 267, 4126, 543, 513, 4514, 2631, 540, 3483, 543, 2495, 1765, 18034, 538, 2053, 540, 13357, 610, 6433, 1141, 16236, 543, 21817, 524, 709, 577, 693, 519, 7450, 21163, 540, 519, 9997, 5275, 547, 3775, 513, 1268, 540, 21755, 543, 1272, 269, 4014, 17035, 5170, 547, 581, 606, 9687, 4020, 1851, 519, 1514, 9443, 267, 3976, 2484, 267, 519, 1382, 3332, 3622, 3413, 8787, 922, 7096, 543, 6422, 1764, 593, 2790, 1072, 543, 2790, 1072, 13508, 269, 4208, 568, 621, 1287, 24568, 513, 18371, 543, 2022, 19640, 2486, 20196, 930, 9439, 543, 24468, 7855, 3136, 547, 2057, 610, 1256, 9011, 720, 713, 1761, 7817, 4222, 950, 621, 2501, 547, 2126, 4058, 543, 5551, 9354, 4093, 888, 5278, 949, 3314, 602, 538, 519, 2038, 2395, 540, 2790, 646, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 5141, 1458, 8682, 4211, 732, 257, 607, 851, 540, 834, 32628, 1315, 4168, 12080, 1315, 12815, 7394, 8249, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 769, 519, 1507, 267, 844, 5593, 4884, 540, 631, 1551, 267, 31314, 9624, 28677, 10239, 267, 5030, 606, 26137, 2025, 812, 3957, 29733, 269, 19612, 585, 1010, 18854, 1399, 7333, 614, 543, 2648, 585, 6177, 342, 10248, 267, 646, 729, 513, 11537, 4137, 538, 519, 2146, 269, 21298, 267, 972, 1185, 1044, 1713, 9283, 538, 519, 4884, 781, 5989, 1765, 2908, 9897, 267, 8265, 7547, 267, 543, 1256, 1863, 31923, 256, 16511, 1023, 941, 4278, 2683, 267, 4849, 585, 835, 5634, 3390, 282, 891, 7760, 15054, 3833, 513, 4161, 585, 29733, 781, 5172, 2250, 830, 910, 31986, 4686, 5017, 689, 1010, 678, 1157, 1214, 11308, 13486, 6772, 8504, 519, 4104, 780, 19604, 1245, 3576, 11348, 538, 2348, 13006, 1169, 2582, 2249, 2938, 1369, 513, 4627, 5195, 8953, 269, 3571, 19644, 12404, 719, 2877, 14849, 15699, 547, 6474, 922, 840, 21553, 2889, 22777, 18710, 2395, 950, 621, 20762, 16900, 609, 2470, 269, 1261, 1336, 5128, 6849, 606, 6397, 32252, 3512, 1765, 6011, 1223, 646, 2226, 1010, 2189, 6197, 1510, 29572, 532, 3356, 2496, 3080, 1554, 267, 1282, 1010, 6296, 3643, 547, 519, 2199, 29221, 2044, 630, 3602, 11570, 1166, 18088, 1175, 547, 5873, 1864, 22281, 8941, 540, 26624, 13341, 1070, 29733, 3838, 1010, 4145, 609, 1762, 18581, 267, 519, 536, 6033, 781, 5067, 267, 945, 5949, 547, 2671, 1010, 1719, 538, 7320, 10344, 269, 1677, 3025, 781, 9983, 267, 1519, 29733, 781, 267, 18581, 6069, 513, 13085, 3070, 269, 1548, 952, 789, 2813, 1412, 289, 2273, 20242, 7815, 781, 10830, 10086, 2347, 609, 31491, 3042, 5867, 7471, 15739, 564, 569, 10838, 519, 9241, 8704, 3889, 286, 901, 1259, 267, 1312, 30222, 543, 2245, 1223, 30598, 32069, 780, 4415, 1489, 689, 519, 10034, 27714, 267, 4566, 3459, 2921, 3337, 269, 20260, 832, 8815, 547, 6451, 16819, 20242, 7815, 781, 10830, 883, 741, 6272, 269, 1306, 960, 862, 10642, 267, 865, 1705, 9597, 332, 2720, 540, 771, 20880, 1851, 930, 7264, 14126, 827, 8497, 519, 3312, 19259, 540, 631, 1551, 1996, 20387, 20012, 269, 8616, 267, 7487, 29733, 781, 26772, 15131, 2509, 5329, 9800, 1010, 13395, 6612, 2059, 609, 8508, 1689, 7444, 17146, 5380, 780, 12507, 2195, 2663, 267, 7555, 29691, 16819, 20242, 7815, 781, 10830, 267, 29733, 14952, 539, 693, 875, 18991, 519, 12404, 25498, 24673, 609, 519, 5251, 269, 3245, 1934, 267, 646, 4797, 11287, 3309, 6177, 2249, 267, 1631, 9280, 609, 1732, 2645, 543, 6793, 4296, 547, 8284, 12439, 5001, 3842, 1164, 18286, 4950, 3177, 676, 519, 2847, 2086, 539, 5989, 3294, 256, 3414, 782, 2242, 267, 1018, 5963, 695, 821, 998, 729, 519, 9322, 540, 519, 1004, 540, 631, 1551, 267, 18445, 602, 2208, 3085, 1405, 2141, 1611, 27531, 6561, 855, 2864, 9687, 1927, 21176, 269, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 22081, 723, 17137, 15527, 547, 519, 2487, 9283, 538, 519, 5989, 538, 631, 1551, 888, 2026, 606, 3642, 1893, 2203, 267, 594, 798, 711, 723, 1344, 593, 1022, 1808, 9283, 538, 519, 5989, 538, 631, 1551, 269, 1717, 267, 538, 2489, 267, 17137, 616, 2693, 547, 723, 1585, 6114, 547, 9283, 538, 5989, 269, 2368, 949, 2070, 621, 607, 513, 2318, 1646, 602, 666, 2087, 741, 2298, 540, 1272, 267, 1247, 1866, 949, 581, 7255, 827, 519, 1761, 2942, 2360, 540, 2799, 1646, 593, 741, 2146, 543, 1604, 269, 3958, 267, 930, 949, 1745, 2451, 856, 952, 9283, 1152, 4324, 1978, 2694, 540, 519, 2146, 610, 952, 789, 798, 711, 723, 1569, 547, 873, 1813, 547, 2883, 610, 824, 7496, 14325, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 0, 1012, 4197, 4578, 23113, 538, 5124, 281, 700, 1235, 543, 17877, 1488, 7590, 692, 1103, 5124, 267, 1239, 3889, 616, 606, 1898, 851, 540, 12180, 543, 22392, 1239, 269, 5565, 540, 519, 1034, 4122, 1031, 1239, 3889, 616, 8638, 543, 14249, 267, 4481, 17877, 14249, 269, 769, 713, 3296, 267, 649, 786, 5490, 883, 519, 3604, 1063, 891, 1079, 1239, 3889, 267, 2519, 593, 3965, 6165, 543, 3693, 1569, 780, 2162, 700, 1235, 538, 5124, 692, 299, 1235, 538, 5124, 616, 11684, 543, 6422, 1239, 3889, 602, 666, 4558, 2609, 540, 1585, 1239, 2010, 269, 1358, 616, 2813, 1210, 4009, 23049, 2387, 26514, 319, 543, 666, 581, 3355, 1242, 609, 513, 1305, 540, 2609, 610, 2451, 8900, 780, 4131, 781, 1376, 676, 2870, 513, 1592, 540, 2338, 689, 476, 271, 547, 476, 4200, 267, 15886, 1384, 3499, 7090, 454, 11133, 1499, 815, 1496, 328, 585, 1775, 538, 2039, 263, 1911, 318, 1822, 22708, 7884, 1103, 713, 3009, 6256, 267, 649, 946, 513, 1592, 8223, 547, 5352, 513, 1592, 540, 2338, 269, 634, 2387, 9792, 13237, 1599, 12958, 513, 5311, 540, 2338, 4358, 689, 476, 271, 909, 547, 267, 855, 711, 1519, 267, 476, 1911, 267, 1822, 269, 634, 1592, 8223, 1287, 12055, 919, 998, 713, 5311, 543, 813, 1742, 1142, 1297, 547, 519, 2387, 11133, 1499, 319, 1592, 780, 3086, 267, 1577, 781, 4983, 519, 2450, 540, 1142, 3693, 543, 519, 2949, 2450, 540, 519, 1592, 1384, 3499, 7090, 454, 2745, 2891, 23917, 540, 1142, 3693, 281, 14307, 19523, 3052, 1115, 1125, 1993, 3799, 13246, 314, 271, 28413, 2745, 2891, 23917, 540, 519, 1592, 281, 14307, 19523, 3052, 1115, 1125, 1993, 3799, 13246, 4917, 7884, 763, 2387, 338, 903, 3052, 1115, 1125, 1993, 13237, 1599, 7024, 519, 2450, 540, 606, 1843, 538, 25466, 269, 1635, 10912, 713, 1599, 593, 519, 1101, 3693, 540, 519, 1592, 630, 319, 11133, 1499, 314, 271, 316, 319, 1070, 649, 666, 3313, 519, 2450, 540, 1142, 3693, 269, 6684, 267, 10912, 621, 593, 519, 3003, 1592, 630, 319, 11133, 1499, 319, 264, 3947, 721, 519, 2949, 2450, 540, 519, 1592, 780, 2162, 17877, 1488, 7590, 692, 19617, 13695, 568, 513, 3532, 5399, 585, 10230, 7384, 538, 5124, 269, 898, 2488, 606, 3608, 1239, 2497, 1572, 606, 5044, 267, 799, 568, 513, 4015, 540, 2609, 540, 519, 1482, 1239, 1826, 269, 9521, 8638, 267, 17877, 14249, 616, 6378, 538, 2450, 267, 543, 4657, 741, 2450, 3340, 2870, 513, 1007, 5044, 780, 4131, 781, 1711, 513, 17877, 5044, 6697, 547, 519, 2387, 11133, 1499, 319, 1592, 1384, 3499, 7090, 454, 5814, 11885, 607, 5286, 692, 11133, 1499, 24512, 815, 5286, 30784, 1052, 263, 1911, 318, 1822, 994, 7884, 1103, 713, 3009, 6256, 267, 649, 946, 519, 2387, 12639, 30784, 1052, 13237, 1599, 547, 5352, 513, 17877, 5044, 609, 2609, 689, 476, 271, 547, 476, 4200, 267, 15886, 269, 901, 1599, 1568, 13974, 547, 519, 3710, 2987, 2387, 9792, 13237, 1599, 855, 7024, 513, 17877, 5044, 3079, 540, 513, 5124, 1592, 780, 3086, 267, 1577, 781, 4983, 519, 2450, 540, 1142, 3693, 543, 519, 2949, 2450, 540, 519, 17877, 5044, 1384, 3499, 7090, 454, 2745, 2891, 23917, 540, 1142, 3693, 281, 14307, 2338, 24512, 29096, 1125, 994, 2745, 2891, 23917, 540, 519, 17877, 5044, 281, 14307, 19523, 3052, 1115, 1125, 1993, 3799, 13246, 24512, 4917, 7884, 2414, 3313, 519, 2450, 540, 1142, 3693, 538, 519, 17877, 5044, 267, 649, 946, 519, 2387, 19477, 1125, 319, 14487, 269, 901, 14487, 7024, 519, 2450, 540, 1142, 3693, 538, 25466, 269, 1677, 1205, 519, 2949, 2450, 540, 519, 17877, 5044, 267, 649, 946, 519, 2387, 338, 903, 3052, 1115, 1125, 1993, 13237, 1599, 267, 1175, 899, 649, 1705, 609, 519, 1592, 780, 2162, 24951, 700, 1235, 543, 17877, 1488, 7590, 692, 3528, 9236, 519, 2450, 540, 1142, 3693, 543, 519, 2949, 2450, 540, 519, 1592, 543, 17877, 5044, 267, 649, 666, 7747, 930, 4277, 3604, 1384, 272, 269, 2878, 292, 2211, 12025, 4995, 634, 2450, 540, 1142, 3693, 538, 519, 17877, 5044, 568, 4130, 982, 538, 519, 1592, 269, 901, 568, 1317, 17877, 14249, 4558, 2609, 811, 7561, 267, 1210, 6378, 20695, 1239, 2010, 269, 769, 4334, 267, 5124, 8638, 4558, 2609, 607, 31452, 547, 3615, 267, 799, 666, 4268, 538, 2450, 780, 273, 269, 2878, 14454, 12025, 4995, 634, 2949, 2450, 540, 519, 17877, 5044, 568, 4130, 982, 519, 1592, 267, 1256, 1498, 1312, 2270, 519, 1482, 1297, 540, 2609, 269, 901, 568, 513, 1463, 12343, 540, 519, 811, 3608, 4859, 540, 2609, 538, 17877, 14249, 780, 274, 269, 2878, 292, 2211, 7457, 4995, 7457, 532, 2609 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 7072, 993, 2102, 729, 835, 540, 519, 1101, 3549, 547, 5431, 519, 1761, 540, 2413, 24684, 538, 3384, 3407, 11955, 585, 2550, 269, 4985, 547, 24684, 1184, 1852, 543, 31627, 2228, 2866, 18862, 543, 1344, 1451, 782, 519, 9238, 3069, 543, 4052, 3498, 1547, 30911, 568, 519, 946, 540, 606, 11248, 610, 513, 5057, 540, 606, 11248, 610, 824, 6211, 1062, 547, 1118, 513, 1587, 610, 1184, 1082, 3029, 540, 2413, 1547, 589, 1620, 540, 2596, 3741, 3238, 609, 7636, 7350, 543, 2030, 9443, 269, 901, 4183, 568, 711, 2139, 1318, 1631, 5225, 2119, 1586, 2663, 454, 1692, 621, 1568, 912, 272, 269, 19193, 513, 5131, 476, 272, 3923, 23632, 10055, 563, 273, 269, 8281, 607, 1082, 2835, 607, 596, 899, 630, 9608, 946, 12467, 274, 269, 3143, 8758, 618, 269, 595, 30327, 20471, 563, 275, 269, 15012, 3683, 476, 1911, 269, 1822, 8414, 22419, 563, 276, 269, 2334, 781, 621, 269, 1548, 596, 7996, 585, 286, 6178, 5455, 543, 5192, 2659, 7734, 269, 0, 9359, 4974, 5635, 1299, 4334, 281, 524, 1127, 1901, 820, 5288, 1007, 24469, 1451, 6863, 267, 2474, 267, 543, 811, 609, 15460, 267, 3756, 267, 543, 824, 1353, 2645, 269, 21145, 281, 7819, 1686, 2140, 281, 513, 6476, 540, 519, 1007, 24469, 543, 519, 524, 1127, 1901, 820, 15922, 10125, 269, 5381, 885, 543, 3604, 1063, 1007, 24469, 543, 519, 607, 1346, 689, 524, 1127, 1901, 820, 1705, 1007, 24469, 3935, 626, 2021, 12630, 519, 13896, 540, 1007, 24469, 269, 27991, 1901, 820, 5288, 1007, 24469, 1004, 9706, 641, 1637, 270, 3553, 339, 6840, 1007, 24469, 476, 274, 270, 275, 540, 782, 11082, 547, 519, 524, 1127, 1901, 820, 941, 25034, 3293, 22063, 563, 7476, 606, 2626, 585, 1412, 4818, 732, 543, 4334, 519, 7005, 10125, 538, 519, 524, 1127, 1901, 820, 543, 538, 1007, 24469, 1082, 540, 519, 2038, 13896, 941, 2582, 2367, 269, 966, 770, 569, 1114, 3270, 540, 11175, 2919, 538, 1007, 24469, 543, 519, 524, 1127, 1901, 820, 782, 7005, 13896, 538, 13314, 941, 13889, 1218, 269, 476, 866, 268, 1556, 268, 1001, 278, 8087, 2829, 910, 519, 1007, 24469, 10125, 281, 519, 2856, 543, 3239, 540, 3109, 688, 23790, 4838, 2456, 2366, 8710, 30335, 2429, 3043, 13314, 476, 272, 268, 279, 268, 1001, 276, 269, 634, 1686, 540, 1007, 24469, 7429, 519, 6666, 7693, 15129, 24914, 540, 519, 524, 1127, 1901, 820, 3148, 1007, 24469, 5111, 3368, 540, 519, 666, 6598, 13896, 269, 20212, 1063, 2038, 524, 1127, 1901, 820, 3148, 13896, 543, 1007, 24469, 1625, 30808, 910, 1863, 4647, 607, 2262, 2703, 630, 25269, 1070, 7824, 3758, 630, 23486, 1070, 1257, 3758, 630, 339, 868, 264, 610, 1224, 2228, 585, 563, 24718, 24067, 17260, 538, 1007, 24469, 267, 519, 1647, 10125, 267, 519, 524, 1127, 1901, 820, 267, 543, 519, 5045, 538, 2474, 540, 3853, 267, 6608, 267, 1514, 3889, 267, 543, 10764, 269, 1715, 24469, 5288, 524, 1127, 1901, 820, 281, 4984, 543, 1004, 3604, 1063, 1007, 24469, 543, 524, 1127, 1901, 820, 13896, 5635, 1299, 4334, 1557, 1063, 1007, 24469, 269, 1715, 24469, 5288, 519, 524, 1127, 1901, 820, 3148, 630, 27219, 336, 264, 13896, 8452, 547, 519, 524, 1127, 1901, 820, 3148, 1152, 547, 581, 30870, 676, 14432, 3338, 2407, 540, 21817, 543, 4074, 563, 24718, 543, 4334, 519, 524, 1127, 1901, 820, 543, 1007, 24469, 10125, 519, 21554, 540, 519, 476, 8182, 271, 781, 4547, 827, 513, 1007, 3184, 538, 7819, 1686, 519, 8087, 2829, 4810, 606, 269, 2974, 1686, 24563, 336, 1557, 281, 1007, 24469, 543, 524, 1127, 1901, 820, 1557, 519, 1007, 24469, 13896, 941, 1279, 532, 547, 1265, 513, 811, 513, 6476, 1063, 1007, 24469, 12733, 543, 269, 1323, 7650, 540, 519, 1867, 593, 519, 2197, 540, 1490, 553, 559, 519, 476, 276, 628, 4102, 2197, 538, 519, 1158, 513, 6476, 1063, 1625, 11939, 543, 524, 1127, 1901, 820, 27723, 1114, 3270, 540, 563, 288, 6476, 1063, 524, 1127, 1901, 820, 543, 1007, 24469, 811, 5601, 569, 538, 6476, 547, 1022, 607, 1312, 524, 1127, 1901, 820, 543, 1007, 24469, 13896, 1185, 513, 1455, 3804, 269, 5153, 476, 278, 281, 3732, 2875, 3594, 2243, 281, 4352, 1007, 24469, 543, 519, 524, 1127, 1901, 820, 3148, 941, 1312, 12306, 7361, 676, 1004, 540, 7005, 5169, 267, 676, 269, 3040, 519, 1007, 24469, 10125, 941, 1360, 1114, 1107, 1007, 24469, 13896, 941, 1647, 1362, 2898, 1107, 538, 6476, 563, 11795, 3720, 1063, 519, 524, 1127, 1901, 820, 15922, 519, 13896, 540, 519, 1007, 24469, 13354, 11175, 540, 1007, 24469, 543, 524, 1127, 1901, 820, 10125, 5635, 519, 269, 5565, 10125, 25888, 652, 1144, 5288, 1007, 24469, 3594, 538, 519, 476, 8182, 271, 781, 1082, 1004, 540, 7005, 5169, 24389, 593, 1034, 524, 1127, 1901, 820, 13896, 4682, 936, 547, 519, 1007, 1158, 585, 1079, 269, 4658, 540, 7005, 5169, 941, 519, 1292, 13896, 538, 519, 1079, 1007, 24469, 543, 524, 1127, 1901, 820, 6476, 538, 519, 7239, 540, 1007, 24469, 543, 524, 1127, 1901, 820, 269, 5131, 2852, 1557, 1007, 24469, 13896, 5288, 519, 524, 1127, 1901, 820, 13896, 24563, 336, 2094, 519, 2038, 476, 1704, 628, 2540, 267, 519, 7005, 28953, 547, 13314, 585, 513, 3099, 540, 4128, 519, 269, 5131, 2165, 4574, 1299, 3594, 910, 7005, 13896, 540, 519, 524, 1127, 1901, 820, 3148, 543, 1007, 24469, 267, 1686, 824, 563, 4407, 838, 664, 726, 1495, 1229, 519, 1007, 513, 6476, 540, 1007, 24469, 543, 524, 1127, 1901, 820, 13896, 1158, 267, 19727, 12735, 4240, 21570, 4945, 547, 2671, 593, 3068, 1504, 630, 641, 839, 538, 1007, 6885, 264, 4945, 269, 5590, 339, 6840, 543, 3604, 538, 519, 1007, 24469, 543, 524, 1127, 1901, 820, 3148, 540, 519, 721, 13896, 543, 3604, 538, 519, 1007, 24469, 543, 524, 1127, 1901, 820, 6476, 540, 519, 1007, 269, 634, 524, 1127, 1901, 820, 543, 1007, 24469, 10125, 281, 513, 6476, 1282, 519, 3735, 476, 1626, 628, 2540, 543, 883, 519, 476, 1704, 628, 2540, 267, 24067, 6082, 6385, 32519, 519, 9241, 4362, 269, 14424, 543, 4334, 519, 7005, 10125, 540, 519, 524, 1127, 1901, 820, 15922, 543, 1007, 24469, 4525, 1018, 941, 741, 10486, 543, 3604, 693, 519, 4098, 540, 519, 476, 1626, 555, 269, 6103, 513, 3312, 1543, 4571, 910, 3410, 1557, 2854, 676, 546, 648, 928, 737, 597, 6362, 7921, 1007, 24469, 13896, 524, 1127, 1901, 820, 267, 4571, 27408, 23007, 543, 1007, 24469, 269, 20212, 1063, 1007, 24469, 543, 524, 1127, 1901, 820, 10125, 2703, 3594, 15290, 519, 21152, 12306, 13314, 267, 1082, 540, 873, 1185, 1114, 4128, 267, 4978, 267, 543, 18517, 269, 0, 6635, 18003, 568, 606, 1930, 2707, 2780, 8800, 543, 3301, 2754, 267, 1788, 267, 543, 3593, 2146, 602, 6272, 543, 3302, 999, 2582, 1532, 13635, 29668, 619, 543, 29668, 518, 20164, 585, 2679, 3059, 3457, 543, 7317, 3615, 602, 666, 2631, 543, 1852, 3615, 538, 519, 2168, 1158, 269, 634, 1788, 781, 2472, 616, 7856, 607, 1930, 21299, 8800, 543, 3301, 267, 799, 616, 13931, 896, 519, 717, 26214, 10815, 518, 4937, 5398, 17821, 630, 299, 294, 12195, 264, 610, 519, 717, 26214, 4937, 5398, 17821, 630, 294, 12195, 1070, 28498, 519, 5478, 540, 20798, 12545, 543, 3301, 3892, 676, 4896, 269, 20798, 12545, 616, 2139, 20749, 538, 840, 553, 5145, 1194, 1106, 267, 610, 607, 798, 32717, 3917, 712, 1345, 630, 14888, 312, 264, 20164, 563, 21581, 11251, 3719, 519, 20798, 18292, 12958, 891, 12545, 1927, 855, 1775, 798, 711, 723, 1412, 6635, 18003, 1133, 334, 262, 538, 1250, 635, 16788, 538, 20798, 1133, 334, 262, 896, 2645, 17626, 2823, 563, 6635, 18003, 796, 334, 593, 678, 24161, 14039, 281, 17626, 16788, 711, 2353, 1568, 5386, 4849, 519, 17626, 16788, 630, 517, 2645, 10624, 13875, 7901, 281, 16340, 1260, 11473, 290, 648, 25357, 7901, 9920, 1496, 476, 271, 563, 21581, 11251, 2889, 12378, 609, 17626, 2823, 20798, 796, 334, 593, 32001, 476, 279, 269, 476, 272, 1215, 547, 4368, 818, 18003, 796, 334, 9920, 1966, 1966, 609, 17626, 2823, 593, 818, 18003, 30991, 563, 1692, 547, 4368, 20798, 22545, 26160, 17626, 2823, 9920, 5463, 574, 10042, 543, 1133, 334, 10081, 998, 8840, 796, 334, 24810, 17626, 13365, 269, 2334, 568, 547, 2161, 952, 20798, 941, 5963, 476, 1911, 563, 1692, 547, 946, 20798, 17626, 16788, 950, 3606, 772, 11286, 17626, 16788, 616, 2877, 538, 513, 1788, 609, 20798, 1133, 334, 267, 631, 9680, 288, 543, 9603, 269, 12229, 17626, 543, 8800, 2823, 563, 21581, 11251, 20360, 3298, 18292, 5395, 658, 2910, 300, 2823, 9920, 17079, 1160, 331, 881, 18292, 547, 5395, 658, 30905, 8281, 585, 8837, 476, 1015, 476, 278, 476, 279, 563, 6635, 18003, 1133, 334, 513, 2241, 11360, 602, 21271, 525, 519, 18292, 5547, 787, 547, 1982, 519, 3926, 609, 513, 17626, 2823, 563, 763, 5767, 630, 20464, 264, 9337, 547, 8837, 476, 1015, 4667, 547, 2014, 2042, 609, 519, 18292, 17626, 9920, 950, 8220, 547, 606, 20798, 269, 594, 666, 14202, 513, 1507, 17250, 547, 563, 12606, 20798, 543, 3888, 20798, 9920, 6733, 585, 513, 18292, 5395, 658, 5800, 538, 519, 623, 2176, 3296, 269, 1411, 666, 849, 1294, 519, 17626, 2823, 538, 20798, 1604, 563, 1607, 3498, 6087, 547, 1852, 519, 3059, 594, 302, 16788, 540, 519, 20798, 6167, 302, 29668, 518, 4604, 998, 519, 18292, 8818, 540, 707, 15692, 3926, 563, 291, 17805, 566, 20798, 1133, 334, 18292, 5395, 658, 30905, 585, 5131, 7034, 291, 454, 763, 20798, 631, 9298, 476, 16348, 271, 568, 513, 29668, 518, 630, 14551, 2264, 17626, 16788, 1070, 513, 476, 1626, 631, 13703, 799, 568, 9308, 15095, 609, 519, 20798, 2637, 340, 3626, 1133, 334, 543, 519, 2025, 563, 6635, 18003, 20861, 7689, 476, 271, 30905, 10380, 585, 8837, 269, 2271, 549, 269, 7689, 476, 271, 269, 30905, 630, 310, 514, 264, 30905, 630, 21547, 264, 30905, 630, 4462, 1460, 264, 7689, 476, 272, 269, 7689, 476, 273, 269, 20798, 667, 7614, 690, 3455, 563, 5575, 540, 782, 267, 596, 991, 513, 5078, 14164, 24891, 609, 513, 7008, 540, 1863, 26838, 2182, 12210, 2230, 630, 331, 2320, 2456, 666, 581, 5230, 3006, 1040, 7427, 519, 15775, 29035, 3296, 540, 8073, 547, 1205, 707, 19835, 3118, 909, 543, 4881, 630, 577, 5366, 29974, 31583, 3892, 267, 585, 1383, 1916, 2005, 568, 513, 1826, 540, 17689, 799, 2874, 540, 6419, 556, 539, 6467, 267, 7471, 609, 20794, 663, 20798, 4604, 269, 901, 1507, 11275, 799, 568, 6456, 896, 1250, 1688, 799, 786, 19334, 519, 20794, 543, 519, 17689, 269, 901, 568, 519, 5728, 3297, 519, 17689, 563, 5278, 942, 3516, 594, 4718, 1004, 9258, 4702, 519, 18342, 7014, 540, 519, 6641, 320, 590, 13040, 294, 11442, 29357, 543, 594, 4941, 547, 1205, 1250, 3946, 593, 621, 607, 1134, 269, 898, 568, 513, 1071, 32681, 29357, 267, 799, 1797, 602, 621, 3085, 32075, 339, 2154, 513, 18165, 23545, 532, 2766, 23301, 269, 962, 1177, 568, 6417, 676, 1210, 519, 3432, 3017, 547, 513, 2034, 23301, 18284, 519, 1292, 23301, 267, 799, 30809, 538, 519, 6587, 4287, 563, 5475, 930, 1250, 20798, 1788, 3788, 796, 13094, 5905, 31653, 267, 865, 594, 4956, 547, 8275, 1250, 669, 573, 3125, 5326, 547, 1711, 513, 21802, 1982, 269, 2991, 513, 7008, 540, 3275, 621, 17993, 803, 267, 855, 621, 568, 711, 2462, 4308, 1317, 1775, 798, 711, 723, 1022, 21802, 12773, 267, 1175, 23153, 563, 4322, 2395, 3592, 16764, 568, 4448, 547, 519, 4950, 593, 741, 11436, 267, 634, 3364, 1004, 899, 3257, 1034, 568, 9363, 538, 5905, 609, 2828, 593, 2382, 656, 11619, 12310, 899, 29243, 1952, 267, 9365, 267, 670, 836, 8083, 267, 1855, 5586, 1090, 563, 296, 3710, 8885, 513, 5639, 6417, 1753, 16222, 267, 609, 4282, 1769, 267, 5496, 543, 1788, 528, 1852, 269, 2060, 606, 661, 9915, 279, 2918, 277, 543, 606, 20798, 30594, 269, 594, 32075, 557, 3893, 1250, 8004, 23136, 606, 8835, 661, 11155, 3926, 585, 8285, 269, 2368, 2395, 2663, 594, 2219, 602, 713, 3926, 593, 922, 1378, 267, 568, 513, 2370, 19309, 269, 1924, 594, 16219, 1200, 547, 1118, 721, 513, 5639, 6417, 5100, 2713, 4055, 1862, 543, 713, 568, 1250, 1259, 547, 621, 563, 8649, 7571, 661, 11155, 568, 1187, 547, 946, 543, 621, 814, 513, 2731, 3579, 4183, 547, 1852, 1034, 540, 519, 1753, 12957, 3457, 602, 616, 2139, 856, 972, 267, 899, 5845, 2354, 670, 826, 543, 824, 3457, 269, 1809, 4986, 568, 1732, 982, 19234, 543, 2679, 707, 1378, 18789, 5851, 12957, 1062, 563, 6635, 18003 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3007, 269, 5839, 879, 6836, 547, 1020, 1114, 6080, 267, 855, 621, 2760, 16626, 689, 9561, 922, 2990, 607, 513, 6237, 9467, 4099, 269, 12085, 941, 3478, 8338, 267, 543, 676, 519, 476, 4572, 271, 338, 267, 674, 5109, 556, 15041, 1120, 539, 607, 513, 8789, 2804, 2534, 2094, 602, 729, 519, 1152, 4781, 789, 941, 2451, 609, 269, 1809, 621, 4769, 1405, 2285, 909, 543, 6836, 547, 1020, 1114, 6080, 543, 1851, 873, 729, 13989, 269, 32573, 1782, 729, 2907, 3656, 1242, 538, 5839, 879, 538, 476, 7277, 280, 267, 855, 621, 729, 606, 5393, 1507, 2872, 543, 7012, 1405, 1256, 513, 2707, 540, 4747, 269, 594, 1611, 267, 519, 3003, 2551, 729, 4057, 865, 1004, 21055, 1705, 711, 723, 519, 2724, 547, 13708, 1076, 269, 1717, 267, 519, 2229, 7691, 519, 1761, 2208, 621, 1223, 5352, 689, 713, 2872, 267, 865, 621, 4769, 1405, 2285, 909, 543, 729, 11235, 547, 1020, 543, 3459, 10115, 8185, 28560, 15173, 15158, 729, 519, 6237, 9467, 4099, 267, 5839, 879, 1223, 4482, 6634, 540, 4457, 547, 2097, 547, 5839, 879, 547, 13708, 1076, 269, 634, 2229, 11292, 513, 26771, 547, 519, 12872, 2473, 532, 7577, 538, 476, 4350, 278, 547, 1491, 519, 2872, 547, 513, 1007, 1377, 269, 1809, 267, 602, 2754, 7012, 1405, 4712, 267, 865, 621, 8694, 909, 21354, 543, 8297, 1441, 3388, 269, 18641, 267, 602, 4769, 1405, 3247, 519, 2229, 689, 1869, 4758, 621, 1776, 8929, 256, 769, 476, 3422, 273, 267, 789, 4956, 547, 1394, 1776, 2754, 267, 5254, 19699, 267, 543, 2285, 621, 782, 519, 13989, 2924, 256, 1656, 621, 6976, 1055, 256, 634, 5254, 19699, 5189, 7262, 16654, 3756, 543, 2413, 1242, 519, 7286, 3560, 1063, 5839, 879, 543, 15173, 15158, 267, 8744, 6634, 540, 12464, 6840, 689, 15173, 15158, 1169, 1032, 2094, 15173, 15158, 729, 513, 14547, 7023, 269, 898, 729, 4904, 609, 1870, 1004, 269, 898, 814, 6913, 930, 1967, 267, 1809, 519, 19614, 14201, 1405, 2614, 269, 1656, 519, 7887, 4161, 729, 1869, 6619, 269, 898, 729, 3478, 2673, 547, 519, 1439, 540, 519, 2540, 269, 910, 1394, 547, 19580, 1879, 621, 729, 519, 1032, 476, 1960, 280, 267, 17577, 1185, 547, 1688, 1394, 5839, 879, 547, 6301, 1633, 3624, 899, 1079, 1296, 1354, 602, 950, 15173, 15158, 729, 2016, 1394, 547, 932, 710, 2094, 519, 476, 4200, 4458, 25755, 1163, 1600, 269, 17577, 7012, 1405, 4712, 547, 3362, 2285, 909, 5839, 879, 267, 2523, 950, 621, 729, 14762, 269, 32573, 1782, 19614, 941, 2810, 1032, 1310, 1032, 269, 1924, 621, 11130, 602, 741, 4308, 729, 1114, 689, 15173, 15158, 338, 835, 267, 543, 789, 1223, 1832, 5839, 879, 267, 27985, 11014, 269, 1809, 3314, 267, 17577, 729, 1100, 3476, 519, 2706, 12741, 602, 621, 814, 1044, 2899, 267, 543, 1100, 835, 546, 4100, 547, 1489, 17577, 593, 741, 15539, 609, 3624, 267, 2523, 950, 3624, 1631, 729, 519, 3791, 28376, 4346, 538, 519, 1158, 269, 634, 3003, 1158, 729, 9467, 609, 621, 269, 1924, 5839, 879, 729, 3533, 543, 25678, 267, 2016, 1394, 547, 3624, 269, 1656, 602, 781, 950, 3388, 4957, 269, 3502, 11874, 267, 855, 2864, 9797, 269, 1411, 1294, 267, 3624, 814, 2947, 2053, 519, 2551, 540, 519, 8087, 2829, 543, 1631, 2094, 5839, 879, 568, 20248, 851, 540, 3624, 269, 12846, 267, 922, 513, 5094, 2197, 267, 865, 621, 781, 1634, 607, 513, 2027, 11889, 3148, 267, 621, 814, 922, 4031, 267, 7128, 267, 543, 3388, 602, 1022, 824, 2197, 814, 4849, 519, 4108, 269, 3767, 267, 6634, 540, 4457, 1223, 3362, 8038, 538, 543, 2972, 782, 519, 12257, 5839, 879, 1185, 547, 2709, 269, 23883, 2229, 8387, 543, 1870, 5443, 269, 898, 2968, 513, 2370, 27032, 256, 4595, 13989, 538, 782, 3029, 568, 10363, 538, 22163, 3624, 269, 769, 476, 1220, 272, 267, 519, 26771, 2924, 540, 5254, 19699, 1185, 1163, 1600, 267, 543, 713, 6263, 2197, 4941, 547, 5000, 6735, 543, 4482, 10600, 4102, 8732, 16394, 602, 5097, 1185, 741, 3056, 16629, 16394, 538, 20098, 30988, 269, 1924, 267, 602, 729, 519, 1439, 540, 519, 13989, 26771, 269, 31849, 540, 1114, 8732, 16394, 3357, 547, 1930, 16629, 16394, 538, 5839, 879, 267, 543, 1631, 972, 616, 936, 476, 2412, 16629, 16394, 972, 269, 769, 476, 1220, 277, 4805, 267, 519, 1297, 540, 1004, 10272, 5839, 879, 729, 476, 4510, 2053, 922, 2551, 267, 585, 835, 2582, 2601, 910, 32573, 1782, 543, 513, 1032, 2663, 267, 585, 519, 1101, 942, 267, 898, 20546, 539, 20098, 30988, 543, 2968, 519, 4102, 16629, 3626, 8907, 593, 519, 3068, 540, 519, 3618, 1547, 1809, 13989, 3884, 1405, 5839, 9476, 1152, 10058, 16023, 269, 898, 781, 849, 513, 3454, 13140, 269, 589, 1747, 1141, 1004, 2356, 12404, 741, 2724, 610, 693, 2547, 2057, 9878, 1164, 9204, 538, 519, 2197, 602, 789, 1500, 741, 2724, 269, 1284, 723, 606, 3003, 3381, 593, 713, 2339, 267, 543, 875, 4010, 602, 1568, 267, 519, 3095, 786, 581, 538, 519, 6609, 269, 13722, 9204, 2141, 4482, 9520, 267, 2523, 950, 596, 723, 513, 7123, 9304, 267, 2797, 13190, 267, 609, 5094, 10324, 267, 15424, 267, 543, 16324, 7060, 269, 13317, 12374, 543, 9746, 4747, 616, 3454, 539, 693, 3648, 2539, 3928, 982, 538, 3864, 6082, 543, 519, 2136, 2276, 693, 519, 2557, 540, 1152, 476, 1321, 2600, 269, 769, 18948, 1256, 1310, 11686, 781, 7372, 3454, 2759, 267, 519, 9746, 3454, 568, 7466, 3677, 538, 519, 2475, 693, 476, 2641, 2600, 269, 1656, 2094, 972, 616, 1472, 476, 279, 18265, 9489, 6456, 538, 21369, 6589, 256, 5839, 879, 814, 3893, 930, 540, 602, 6666, 256, 3502, 1169, 3454, 10093, 814, 971, 513, 1390, 13989, 2872, 547, 3653, 602, 2724, 256, 1879, 621, 2501, 547, 2043, 267, 9204, 616, 849, 1970, 538, 6476, 547, 922, 12543, 267, 971, 607, 3567, 269, 898, 814, 513, 11636, 3454, 3009, 609, 519, 5207, 2557, 540, 476, 1321, 2600, 269, 769, 6476, 267, 5245, 781, 3454, 2557, 1223, 979, 607, 1164, 607, 476, 3393, 2600, 269, 2334, 781, 1018, 2306, 5839, 879, 971, 513, 3638, 2197, 256, 2311, 519, 1439, 540, 519, 1554, 267, 13989, 267, 799, 568, 10363, 538, 1034, 540, 519, 1158, 267, 4667, 547, 723, 1152, 28322, 713, 6263, 2370, 4182, 256, 1403, 596, 723, 10150, 713, 3381, 267, 1118, 2386, 596, 3893, 621, 513, 555, 29304, 909, 269, 1656, 952, 596, 1616, 547, 1294, 811, 2147, 7044, 267, 1287, 5734, 602, 24049, 543, 519, 11350, 7735, 22290, 621, 267, 7064, 585, 8384, 543, 2394, 1985, 942, 256, 0, 1432, 2188, 786, 3310, 7344, 4222, 540, 27948, 19650, 454, 763, 1894, 540, 2837, 547, 7344, 4222, 540, 27948, 19650, 269, 734, 2961, 321, 1748, 924, 454, 7987, 494, 26502, 540, 3310, 7344, 4222, 540, 16998, 4338, 295, 25492, 661, 22268, 4629, 14701, 7987, 495, 454, 5804, 3339, 2837, 547, 476, 7742, 271, 21508, 481, 267, 519, 7344, 4222, 540, 16998, 4338, 295, 25492, 661, 22268, 4629, 14701, 4679, 609, 2837, 269, 634, 7344, 4222, 693, 476, 7742, 271, 21508, 481, 568, 827, 476, 272, 268, 273, 2053, 602, 540, 3339, 2837, 269, 7612, 476, 274, 268, 272, 2982, 519, 7344, 4222, 540, 16998, 4338, 295, 25492, 661, 22268, 4629, 14701, 1210, 19386, 1071, 651, 607, 6151, 1570, 609, 2837, 634, 7455, 540, 8375, 630, 271, 268, 5611, 271, 21508, 481, 1916, 763, 2601, 1946, 519, 7344, 4222, 540, 27948, 2472, 4679, 609, 2810, 2837, 666, 581, 6045, 607, 5205, 281, 476, 272, 269, 8641, 924, 2472, 786, 711, 3132, 2199, 5068, 22636, 693, 1970, 5210, 267, 865, 1256, 952, 513, 5266, 1970, 4452, 568, 2016, 267, 621, 786, 2014, 25305, 1813, 547, 519, 1360, 13671, 2566, 269, 1717, 267, 950, 519, 2837, 14380, 547, 513, 1978, 4110, 267, 1813, 547, 519, 5068, 1533, 267, 2199, 22636, 4386, 2282, 519, 2566, 5834, 1448, 267, 543, 519, 2566, 568, 24797, 267, 1256, 952, 513, 5266, 1804, 4452, 568, 4294, 267, 621, 786, 711, 2014, 25305, 269, 476, 273, 269, 9603, 547, 519, 1804, 606, 529, 582, 16552, 540, 519, 5276, 7269, 11664, 540, 27948, 14848, 267, 1310, 9023, 689, 1164, 2837, 267, 1804, 2566, 786, 581, 6383, 3330, 519, 12627, 9274, 269, 9603, 547, 519, 1804, 1871, 540, 519, 5007, 2566, 2706, 574, 12723, 593, 519, 4835, 2566, 267, 519, 4222, 540, 27948, 693, 1970, 2837, 568, 811, 8899, 267, 855, 519, 2566, 7930, 11081, 950, 12699, 547, 513, 1978, 2837, 267, 865, 519, 7344, 4222, 4679, 609, 2810, 2837, 563, 7987, 494, 26660, 3590, 540, 5440, 16998, 4338, 295, 25492, 661, 22268, 4629, 14701, 13583, 25033, 4211, 16808, 1748, 924, 6828, 7987, 495, 454, 305, 532, 343, 532, 6828, 568, 3624, 779, 3056, 18261, 540, 16998, 4338, 295, 25492, 661, 22268, 4629, 14701, 267, 19650, 13594, 267, 8713, 290, 543, 3327, 3625, 269, 25334, 31757, 10427, 2504, 3515, 543, 14791, 16491, 906, 267, 3246, 3309, 3515, 540, 3327, 12669, 17790, 2472, 20483, 676, 4274, 681, 22936, 2930, 1489, 267, 649, 1020, 6251, 6075, 3347, 543, 2921, 593, 513, 3677, 1909, 538, 519, 2698, 3761, 543, 5663, 5832, 269, 3776, 2472, 2743, 543, 9765, 519, 2591, 540, 5215, 540, 3156, 267, 543, 3136, 547, 581, 3048, 730, 269, 1284, 1796, 585, 519, 12366, 338, 540, 796, 4818, 668, 2358, 2298, 267, 14222, 6075, 3028, 543, 10512, 4096, 1464, 269, 3776, 5207, 14422, 585, 938, 5561, 616, 2298, 543, 1942, 269, 898, 568, 1271, 602, 938, 5561, 4324, 689, 938, 1533, 6361, 7308, 19603, 2472, 693, 796, 18566, 762, 3902, 26024, 12753, 269, 1284, 2936, 2688, 3435, 609, 519, 5207, 8112, 543, 8856, 269, 3776, 6131, 5520, 267, 519, 3020, 3327, 12669, 17790, 1570, 4966, 267, 1118, 2961, 321, 1748, 924, 3811, 11451, 563, 2026, 606, 9565, 543, 3743, 18261, 267, 649, 616, 2111, 547, 1683, 938, 5561, 609, 811, 15826, 2533, 543, 2930, 1489, 269, 2961, 321, 1748, 924, 30778, 9342, 8831, 2484, 3564, 519, 4393, 540, 16998, 4338, 295, 25492, 661, 22268, 4629, 14701, 543, 19650, 13594, 269, 13689, 593, 6075, 4170, 267, 519, 2754, 3091, 2533, 1519, 281, 3498, 268, 30261, 17874, 267, 5542, 540, 2326, 267, 2361, 19217, 832, 267, 543, 1454, 811, 269, 2961, 321, 1748, 924, 6828, 3091, 513, 2347, 1305, 540, 3327, 12669, 17790, 2472, 609, 513, 2039, 540, 2472, 585, 835, 3613, 641, 10918, 269, 5463, 3547, 540, 1587, 11938, 723, 5828, 2961, 321, 1748, 924, 779, 2472, 883, 513, 3810, 3501, 539, 543, 1942, 15807, 3070, 563, 20578, 518, 779, 9547, 568, 938, 10700, 3804, 269, 1284, 3494, 938, 20174, 547, 3327, 12669, 17790, 2872, 786, 948, 721, 547, 3035, 2518, 5718, 538, 3246, 1158, 11665, 1942, 2500, 267, 9120, 2298, 2533, 547, 6075, 538, 519, 1158, 563, 8794, 5755, 12334, 607, 536, 5407, 267, 938, 16998, 4338, 295, 25492, 661, 22268, 4629, 14701, 799, 568, 5631, 1500, 540, 19386, 1071, 651, 543, 13549, 1071, 651, 568, 1373, 1500, 998, 519, 1184, 540, 18287, 1588, 267, 7623, 532, 267, 9054, 8172, 267, 10296, 267, 11256, 267, 791, 27389, 566, 267, 3113, 527, 1436, 543, 20619, 563, 7987, 494, 32101, 540, 2961, 321, 1748, 924, 16998, 4338, 295, 25492, 661, 22268, 4629, 14701, 7987, 495, 454, 272, 269, 2961, 321, 1748, 924, 16998, 4338, 295, 25492, 661, 22268, 4629, 14701, 568, 1373, 1031, 538, 3167, 9095, 5374, 14708, 19460, 16998, 4338, 295, 25492, 661, 22268, 4629, 14701, 568, 5631, 1031, 538, 3167, 19460, 5374, 14708, 269, 11272, 19460, 5374, 14708, 3096, 16998, 4338, 295, 25492, 661, 22268, 4629, 14701, 338, 547, 6338, 1699, 883, 519, 19460, 269, 589, 2178, 1699, 12958, 606, 9095, 11166, 998, 519, 3154, 693, 519, 2539, 1439, 540, 519, 19650, 267, 543, 3096, 519, 3002, 6383, 676, 519, 9095, 547, 1159, 3881, 563, 273, 269, 2961, 321, 1748, 924, 16998, 4338, 295, 25492, 661, 22268, 4629, 14701, 568, 1373, 1031, 538, 7626, 13463, 908, 7677, 2167, 16998, 4338, 295, 25492, 661, 22268, 4629, 14701, 7626, 13463, 908, 7677, 2167, 616, 5631, 1031, 547, 3132, 7542, 549, 718, 9081, 267, 6986, 13339, 267, 5835, 16903, 267, 1319, 974, 543, 7513, 29743, 267, 3092, 1421, 799, 568, 6353, 676, 5122, 19428, 563, 274, 269, 1280, 4187, 7677, 2167, 267, 3113, 527, 1436, 7677, 2167, 585, 6721, 27948, 2472, 267, 13621, 7677, 2167, 585, 13621, 4837, 267, 543, 3167, 7677, 2167, 585, 6721, 13339, 29743, 616, 782, 4187, 7677, 2167, 563, 275, 269, 13242, 585, 4393, 513, 1804, 1297, 540, 16998, 4338, 295, 25492, 661, 22268, 4629, 14701 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 274, 11027, 31976, 505, 16061, 382, 486, 382, 496, 476, 272, 4297, 270, 273, 2913, 623, 3799, 264, 2433, 476, 272, 1341, 476, 274, 1341, 476, 3953, 266, 15512, 19050, 22935, 15512, 19050, 22935, 266, 476, 274, 333, 16061, 19050, 382, 497, 476, 272, 815, 16733, 274, 11027, 31976, 505, 16061, 382, 486, 382, 496, 476, 272, 4297, 270, 273, 1160, 1324, 585, 562, 815, 476, 272, 1280, 562, 815, 476, 272, 267, 700, 13034, 2529, 815, 476, 272, 681, 13034, 2529, 815, 16733, 274, 317, 272, 16061, 382, 486, 382, 496, 476, 272, 4297, 270, 273, 815, 16733, 274, 16061, 382, 486, 382, 496, 476, 272, 4297, 270, 273, 815, 16733, 273, 4297, 270, 273, 815, 476, 272, 4595, 267, 700, 13034, 2529, 269, 815, 681, 13034, 2529, 16061, 382, 486, 394, 482, 623, 3799, 264, 568, 3020, 585, 562, 815, 476, 272, 1160, 1324, 623, 17347, 1341, 476, 272, 264, 568, 3020, 952, 623, 17347, 264, 568, 3020, 27539, 602, 623, 17347, 264, 568, 3020, 267, 623, 17347, 2567, 476, 272, 1341, 476, 274, 1341, 476, 3953, 1341, 15512, 19050, 22935, 907, 266, 476, 274, 330, 16061, 19050, 382, 497, 476, 272, 815, 16733, 274, 11027, 31976, 502, 16061, 382, 486, 382, 496, 476, 272, 4297, 270, 273, 1284, 786, 6961, 602, 623, 17347, 1341, 476, 272, 264, 568, 3020, 269, 623, 17347, 1341, 476, 272, 2567, 476, 272, 1341, 476, 274, 1341, 476, 3953, 1341, 15512, 19050, 22935, 907, 266, 476, 274, 17347, 1341, 476, 272, 264, 16061, 19050, 382, 497, 476, 272, 815, 16733, 274, 22677, 11027, 31976, 502, 266, 272, 264, 16061, 382, 486, 382, 496, 476, 272, 4297, 270, 273, 623, 17347, 1341, 476, 272, 2567, 476, 272, 1341, 476, 274, 1341, 476, 3953, 1341, 15512, 19050, 22935, 907, 274, 17347, 16061, 19050, 382, 497, 476, 272, 264, 1341, 476, 274, 17347, 264, 815, 16733, 274, 22677, 11027, 31976, 502, 266, 272, 264, 16061, 382, 486, 382, 496, 476, 272, 4297, 270, 273, 1284, 723, 547, 6961, 623, 17347, 1341, 476, 272, 264, 568, 3020, 14572, 700, 9391, 476, 272, 1341, 476, 274, 1341, 476, 3953, 1341, 15512, 19050, 22935, 907, 266, 476, 274, 330, 16061, 19050, 382, 497, 476, 272, 1341, 476, 274, 330, 3245, 630, 272, 2567, 476, 272, 1341, 476, 274, 1341, 476, 3953, 1341, 15512, 19050, 22935, 907, 266, 476, 274, 330, 16061, 19050, 382, 497, 476, 272, 815, 16733, 11027, 16807, 509, 382, 495, 11027, 16807, 496, 382, 490, 16061, 382, 486, 382, 496, 12631, 16807, 509, 382, 493, 4297, 270, 11027, 16807, 509, 382, 494, 815, 16733, 11027, 16807, 509, 382, 495, 11027, 16807, 496, 382, 490, 16061, 382, 486, 382, 496, 12631, 16807, 509, 382, 493, 4297, 270, 11027, 16807, 509, 382, 494, 1341, 476, 274, 330, 815, 16733, 274, 11027, 31976, 502, 16061, 382, 486, 382, 496, 476, 272, 264, 1341, 476, 273, 3852, 497, 382, 501, 476, 274, 317, 11027, 31976, 502, 8358, 273, 815, 630, 11027, 16807, 509, 382, 495, 11027, 16807, 496, 382, 490, 1341, 12631, 16807, 509, 382, 494, 3852, 497, 382, 501, 12631, 16807, 509, 382, 495, 317, 11027, 16807, 496, 382, 490, 16061, 382, 486, 382, 496, 12631, 16807, 509, 382, 493, 8358, 11027, 16807, 509, 382, 494, 815, 630, 476, 274, 263, 274, 317, 11027, 31976, 502, 3738, 15512, 382, 486, 382, 496, 476, 272, 8358, 273, 815, 630, 11027, 16807, 509, 382, 495, 22677, 11027, 16807, 496, 382, 490, 1341, 12631, 16807, 509, 382, 493, 264, 16061, 382, 486, 382, 496, 12631, 16807, 509, 382, 493, 8358, 11027, 16807, 509, 382, 494, 815, 681, 9391, 16061, 382, 486, 394, 482, 623, 17347, 1341, 476, 272, 264, 568, 3020, 950, 623, 17347, 264, 568, 3020, 4935, 267, 1635, 519, 6240, 540, 6310, 15632, 267, 623, 3799, 264, 568, 3020, 585, 562, 267, 1141, 562, 568, 513, 2067, 1297, 0, 258, 12430, 1944, 513, 1599, 692, 272, 269, 3967, 476, 1240, 267, 476, 1220, 277, 692, 2162, 803, 342, 332, 1168, 692, 11039, 713, 568, 513, 6323, 1644, 2243, 855, 594, 1589, 8380, 621, 538, 2979, 568, 1655, 269, 594, 993, 3843, 547, 5276, 1125, 519, 17585, 16980, 6521, 1599, 540, 1769, 269, 594, 917, 602, 1797, 547, 4228, 621, 543, 1491, 519, 5276, 2474, 855, 1810, 1405, 2731, 917, 1018, 547, 798, 269, 594, 729, 27378, 513, 512, 11336, 3126, 7269, 855, 535, 20572, 24557, 325, 314, 320, 27994, 325, 262, 314, 320, 28488, 343, 8584, 264, 814, 803, 11821, 607, 594, 993, 711, 2386, 1018, 547, 946, 607, 513, 267, 607, 476, 271, 3085, 1405, 960, 1932, 1134, 563, 763, 3830, 568, 3230, 341, 271, 1422, 2765, 346, 272, 10954, 2765, 28452, 2410, 322, 3686, 2715, 272, 10559, 2765, 28452, 2410, 322, 24995, 1141, 642, 271, 568, 593, 519, 1931, 540, 476, 1015, 317, 1015, 267, 524, 568, 476, 274, 265, 1015, 317, 279, 267, 543, 642, 568, 1472, 476, 3393, 780, 8310, 12995, 281, 3967, 476, 1240, 267, 476, 1220, 277, 454, 273, 269, 3967, 476, 1240, 267, 476, 1220, 277, 692, 2162, 3905, 557, 12076, 692, 28646, 713, 786, 948, 1384, 10674, 2517, 4178, 26716, 817, 269, 12460, 15193, 28022, 270, 349, 330, 787, 321, 752, 990, 270, 974, 2286, 6958, 3796, 270, 4118, 21223, 935, 24579, 12378, 5334, 1115, 270, 1186, 275, 15005, 1496, 29662, 5287, 6540, 8310, 12995, 676, 513, 15645, 1807, 281, 2904, 476, 273, 267, 476, 1001, 278, 454, 274, 269, 3967, 476, 1240, 267, 476, 1220, 277, 692, 2162, 1649, 528, 514, 692, 19675, 333, 1405, 621, 581, 3230, 325, 318, 271, 25490, 346, 1422, 2765, 346, 272, 10954, 2765, 28452, 2410, 322, 3686, 2715, 272, 10559, 2765, 28452, 2410, 322, 3686, 6525, 26042, 13425, 13050, 519, 28576, 16980, 6356, 2985, 693, 8940, 4732, 7220, 16447, 2593, 22535, 14766, 3910, 2282, 519, 5377, 789, 2285, 971, 606, 7269, 630, 22396, 269, 1496, 14766, 284, 10674, 2517, 14396, 16447, 9884, 6504, 1090, 2593, 270, 874, 12695, 270, 9824, 520, 643, 2065, 305, 2644, 31183, 11258, 316, 4256, 4414, 29196, 2985, 22535, 7838, 299, 316, 585, 811, 1469, 24355, 8310, 12995, 676, 513, 15645, 1807, 281, 4455, 476, 2641, 267, 476, 1001, 278, 454, 275, 269, 3967, 476, 866, 267, 476, 1220, 277, 692, 2162, 1649, 528, 514, 692, 1103, 2013, 594, 6415, 4636, 267, 630, 296, 6415, 1100, 21997, 264, 2119, 713, 1384, 2330, 341, 318, 271, 1422, 2765, 346, 272, 10954, 2765, 28452, 2410, 322, 3686, 2715, 272, 10559, 2765, 28452, 2410, 322, 3686, 815, 642, 318, 271, 1422, 3847, 263, 476, 272, 10954, 2765, 28452, 2410, 322, 348, 1422, 2431, 264, 1422, 2765, 346, 272, 348, 2715, 272, 10559, 2765, 28452, 2410, 322, 3686, 815, 642, 318, 271, 1422, 3847, 263, 476, 272, 10954, 2765, 28452, 2410, 322, 348, 1422, 2431, 264, 1422, 3847, 314, 476, 272, 266, 1422, 2765, 28452, 2410, 322, 348, 1341, 1422, 3847, 263, 1422, 2765, 28452, 2410, 322, 4153, 2431, 264, 9745, 273, 1341, 1422, 26984, 1422, 2431, 316, 815, 642, 318, 271, 1422, 3847, 314, 476, 272, 266, 476, 273, 21702, 28452, 2410, 322, 348, 1341, 476, 273, 13375, 263, 1422, 2765, 28452, 2410, 322, 4153, 2431, 264, 9745, 273, 1341, 1422, 26984, 1422, 2431, 316, 1422, 13627, 642, 318, 271, 1422, 3847, 263, 476, 272, 266, 476, 273, 21702, 28452, 2410, 322, 348, 1422, 2431, 264, 9681, 1721, 3230, 341, 315, 961, 524, 9681, 8310, 12995, 281, 3967, 476, 866, 267, 476, 1220, 277, 454, 276, 269, 3967, 476, 866, 267, 476, 1220, 277, 692, 2162, 803, 342, 332, 1168, 692, 12552, 267, 1175, 1651, 848, 4896, 568, 11842, 621, 568, 513, 2027, 2013, 263, 29019, 723, 1767, 602, 264, 865, 621, 3085, 1405, 723, 519, 4009, 3597, 780, 18704, 713, 1390, 4901, 609, 1866, 3842, 23749, 267, 5616, 31956, 12108, 267, 610, 9365 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1103, 519, 661, 4156, 11206, 267, 519, 4054, 616, 9985, 9764, 267, 1142, 2348, 513, 8006, 540, 4010, 835, 11281, 269, 1358, 616, 11231, 538, 513, 6366, 267, 12808, 14328, 7470, 269, 634, 4099, 540, 1142, 3529, 568, 4557, 7397, 2476, 689, 519, 7740, 540, 1142, 540, 922, 14191, 12543, 563, 2467, 616, 1082, 10092, 998, 519, 661, 4156, 11206, 269, 3962, 2619, 568, 12808, 538, 3259, 267, 3586, 538, 8700, 267, 543, 9985, 2786, 269, 19029, 1810, 1405, 1332, 593, 519, 10092, 267, 855, 1169, 2619, 786, 723, 3529, 959, 16218, 15700, 621, 593, 2901, 2427, 563, 1432, 568, 519, 7522, 652, 2009, 2619, 998, 519, 661, 4156, 11206, 888, 296, 1152, 3323, 267, 855, 594, 6743, 1152, 693, 10092, 609, 19527, 476, 272, 14672, 630, 528, 562, 994, 296, 3357, 909, 609, 519, 4542, 585, 519, 8700, 540, 519, 2619, 454, 1015, 6912, 3799, 317, 273, 268, 273, 333, 266, 273, 12684, 7562, 263, 541, 551, 534, 263, 272, 14370, 333, 268, 272, 9984, 541, 551, 534, 263, 272, 14672, 4297, 910, 476, 272, 454, 6518, 11729, 519, 1739, 454, 296, 9327, 1405, 581, 647, 1440, 2213, 952, 513, 7522, 518, 2619, 568, 2009, 2059, 930, 824, 9386, 267, 855, 602, 781, 782, 594, 723, 942, 585, 1631, 563, 16829, 676, 7603, 454, 517, 476, 1220, 276, 268, 4962, 268, 2918, 476, 866, 281, 6078, 281, 2537, 0, 302, 20268, 568, 519, 812, 540, 796, 344, 1752, 532, 11348, 543, 818, 5766, 766, 267, 1212, 517, 267, 1010, 7015, 267, 568, 519, 4739, 344, 22267, 267, 543, 21258, 821, 267, 519, 8250, 540, 32037, 267, 568, 829, 21082, 543, 22233, 891, 1614, 3197, 1412, 1268, 2801, 1404, 513, 2101, 1909, 538, 1818, 519, 2856, 540, 5168, 15889, 269, 5637, 15438, 267, 32037, 543, 1212, 517, 267, 723, 1114, 2070, 2798, 593, 3592, 782, 3584, 2366, 9760, 519, 2984, 540, 32037, 543, 1212, 517, 4001, 1079, 1114, 2010, 540, 17710, 267, 835, 1826, 602, 4682, 547, 21258, 821, 543, 519, 824, 1826, 267, 519, 1826, 602, 4422, 547, 32037, 556, 343, 269, 3683, 2492, 676, 13398, 5142, 267, 32037, 13290, 547, 2057, 713, 676, 6028, 1351, 12764, 267, 10707, 4724, 519, 15816, 593, 1010, 1259, 547, 519, 15231, 2749, 267, 646, 19754, 606, 2025, 812, 538, 513, 21535, 267, 543, 2663, 544, 1551, 625, 519, 15596, 540, 519, 15816, 267, 607, 646, 729, 1500, 4622, 540, 519, 2749, 1310, 646, 10710, 519, 2749, 689, 513, 14686, 838, 327, 514, 343, 563, 763, 476, 4198, 278, 4670, 267, 476, 1321, 14220, 2367, 267, 666, 4001, 721, 513, 2603, 827, 519, 1184, 540, 1895, 2792, 1107, 1312, 519, 2318, 543, 2942, 3344, 713, 5816, 2022, 568, 513, 5618, 2079, 540, 519, 4670, 538, 6935, 547, 1895, 6384, 952, 596, 10093, 1406, 2938, 519, 4670, 267, 1775, 3810, 2303, 13156, 621, 607, 922, 4245, 2611, 4143, 2221, 269, 32084, 556, 343, 676, 8683, 28965, 281, 5758, 267, 6249, 1299, 2079, 1909, 540, 519, 10971, 538, 519, 476, 8270, 611, 4622, 1212, 517, 538, 21258, 821, 281, 1915, 7592, 1299, 10530, 269, 1306, 513, 1915, 267, 32037, 4865, 1082, 7907, 602, 606, 1493, 1010, 6891, 540, 30493, 2943, 3049, 1010, 1582, 9552, 930, 540, 1010, 3983, 5079, 1223, 2874, 540, 530, 1645, 519, 6370, 1063, 646, 543, 561, 2967, 639, 563, 23322, 2079, 630, 28781, 519, 1915, 1102, 4919, 547, 4647, 264, 972, 781, 1100, 27102, 602, 32037, 568, 513, 10583, 812, 540, 1576, 267, 646, 781, 3893, 7168, 1434, 2601, 547, 581, 646, 781, 519, 835, 602, 10710, 519, 15816, 689, 519, 838, 327, 514, 343, 952, 646, 22821, 1405, 2097, 2059, 543, 12193, 519, 838, 327, 514, 343, 781, 678, 1497, 267, 519, 2749, 1131, 1869, 581, 538, 519, 4278, 718, 540, 519, 13442, 269, 32084, 10530, 538, 32037, 556, 343, 519, 32037, 556, 343, 10530, 2630, 616, 782, 2901, 9275, 676, 32037, 610, 3277, 547, 32037, 585, 1142, 10839, 267, 596, 666, 849, 1294, 519, 824, 3197, 543, 4798, 1644, 547, 621, 630, 26421, 6249, 568, 8612, 676, 922, 1378, 12297, 543, 12835, 267, 899, 713, 835, 269, 910, 32037, 556, 343, 267, 676, 8683, 28965, 267, 6645, 519, 9661, 540, 32037, 267, 513, 13249, 5869, 32037, 5036, 856, 547, 7759, 1010, 2749, 267, 519, 15816, 267, 540, 519, 20575, 676, 4466, 519, 15294, 19907, 540, 561, 2967, 639, 2705, 267, 2059, 519, 1259, 267, 646, 9060, 602, 646, 729, 519, 835, 602, 7166, 561, 2967, 639, 543, 9310, 519, 11097, 15735, 15596, 795, 665, 770, 320, 267, 1010, 3993, 563, 1103, 519, 2022, 3620, 9593, 545, 2245, 267, 1034, 5432, 689, 8683, 28965, 685, 32037, 556, 343, 630, 528, 32037, 519, 4622, 264, 543, 32037, 693, 3935, 639, 267, 5555, 32037, 5795, 519, 1697, 2626, 281, 812, 267, 945, 17875, 3149, 593, 782, 2185, 338, 538, 26638, 267, 15211, 593, 1079, 3952, 950, 6738, 267, 543, 682, 753, 593, 513, 5234, 538, 2025, 2085, 519, 838, 327, 514, 343, 972, 1575, 517, 7166, 9887, 269, 16508, 1143, 267, 11784, 543, 29134, 1145, 616, 32037, 262, 3983, 7592, 538, 32037, 556, 343, 676, 8683, 28965, 630, 275, 4817, 536, 576, 269, 32084, 556, 343, 281, 18216, 1513, 529, 267, 8423, 691, 807, 267, 13398, 5142, 267, 543, 513, 13249, 5869, 1018, 568, 513, 13357, 2687, 547, 18211, 13444, 267, 513, 13357, 568, 513, 3978, 1404, 538, 799, 519, 8783, 5515, 1780, 998, 513, 3126, 540, 3765, 325, 1953, 525, 3056, 547, 513, 3803, 14042, 31685, 563, 2005, 5654, 899, 596, 4312, 4503, 4276, 547, 938, 7746, 5225, 2638, 707, 4950, 4276, 610, 882, 1933, 713, 2985, 269, 769, 519, 1404, 32037, 556, 343, 267, 32037, 568, 513, 13249, 5869, 609, 513, 8423, 691, 807, 602, 5012, 547, 1010, 17149, 31774, 646, 19299, 1614, 7592, 602, 723, 1044, 23503, 593, 547, 581, 1010, 8423, 691, 807, 281, 1010, 13398, 5142, 630, 1410, 947, 633, 11348, 1070, 1010, 646, 29532, 29525, 267, 543, 1010, 2204, 22940, 8990, 269, 769, 968, 628, 902, 2887, 6306, 892, 676, 24060, 7699, 31199, 2041, 543, 32037, 556, 343, 676, 8683, 28965, 267, 1312, 21453, 517, 330, 6851, 543, 32037, 4865, 13249, 20924, 267, 799, 1291, 547, 741, 22638, 1524, 17517, 267, 3976, 1818, 1312, 968, 334, 20268, 519, 4622, 892, 543, 968, 628, 902, 2887, 6306, 892, 2887, 896, 519, 7121, 540, 13357, 563, 302, 20268, 910, 519, 16502, 540, 32037, 519, 4622, 543, 32037, 693, 3935, 639, 32037, 3587, 4622, 540, 519, 15816, 1354, 519, 2962, 540, 32037, 519, 4622, 5956, 646, 568, 12021, 585, 1010, 4987, 543, 1010, 2702, 547, 4194, 678, 26680, 1765, 515, 10710, 519, 2749, 540, 519, 15816, 543, 729, 1500, 922, 4622, 676, 6061, 519, 678, 1497, 540, 519, 269, 4762, 26555, 538, 3332, 616, 30431, 730, 607, 5007, 4534, 812, 5288, 812, 267, 812, 5288, 2470, 267, 812, 5288, 2486, 4534, 610, 4835, 4534, 812, 5288, 1582, 513, 2673, 6514, 540, 8683, 28965, 262, 13357, 32037, 556, 343, 8761, 621, 814, 1169, 835, 540, 891, 7526, 269, 32084, 556, 343, 568, 519, 4622, 538, 513, 1650, 676, 8683, 28965, 267, 835, 540, 519, 1655, 19967, 10565, 24420, 23412, 540, 782, 2053, 519, 32037, 556, 343, 20451, 568, 5059, 593, 519, 4622, 779, 13357, 540, 12556, 8683, 28965, 267, 513, 525, 577, 2643, 639, 543, 552, 584, 760, 1938, 941, 28601, 607, 519, 1614, 6574, 3504, 19967, 11715, 2103, 1282, 519, 11344, 2085, 540, 519, 19967, 12416, 563, 7468, 728, 543, 8990, 538, 32037, 556, 343, 513, 812, 814, 1082, 10747, 4162, 910, 930, 2318, 543, 930, 2942, 693, 2053, 267, 513, 5732, 2318, 8984, 949, 2014, 1010, 22638, 31774, 713, 1523, 666, 581, 2047, 1644, 547, 519, 1650, 32037, 556, 343, 269, 476, 277, 32037, 262, 973, 565, 3005, 540, 519, 26583, 812, 781, 25197, 566, 476, 278, 32037, 262, 973, 565, 3005, 540, 519, 28897, 1996, 1864, 1592, 476, 273, 2318, 543, 476, 273, 2942, 7907, 540, 32037, 1946, 1705, 32037, 4734, 1351, 12764, 267, 519, 1753, 540, 1010, 6107, 32037, 556, 343, 3217, 1747, 538, 519, 15816, 538, 4395, 540, 519, 19289, 269, 32084, 281, 678, 1497, 540, 519, 838, 327, 514, 343, 607, 513, 14165, 540, 1272, 32037, 556, 343, 630, 1492, 4622, 1070, 2854, 676, 8683, 28965, 267, 568, 519, 13249, 1404, 18995, 519, 29070, 6228, 547, 799, 32037, 267, 606, 693, 1156, 1014, 267, 568, 1412, 325, 730, 262, 547, 22036, 269, 0, 7659, 1913, 281, 4116, 4978, 1893, 3450, 2034, 1893, 6947, 476, 272, 4367, 519, 2361, 540, 1893, 4116, 17133, 1107, 1018, 536, 3073, 543, 17236, 269, 4985, 1373, 2111, 547, 6432, 1134, 568, 606, 1271, 851, 540, 2792, 585, 3025, 585, 938, 1053, 267, 11461, 2259, 676, 513, 4116, 568, 835, 540, 519, 1655, 2081, 269, 27511, 281, 1449, 1764, 267, 6947, 267, 4116, 267, 3450, 1935, 267, 30393, 4367, 519, 1198, 540, 4152, 593, 3450, 543, 1565, 814, 1279, 1044, 1634, 1547, 9050, 1983, 2238, 281, 2542, 267, 1603, 267, 6340, 1299, 6947, 519, 4116, 666, 1448, 547, 1142, 4605, 1247, 9781, 513, 1582, 10784, 3174, 630, 29324, 616, 6947, 1040, 594, 1616, 547, 6542, 875, 519, 10726, 956, 666, 948, 609, 3450, 6947, 4166, 1310, 968, 338, 25885, 14723, 892, 1185, 2097, 856, 267, 789, 1256, 3576, 851, 538, 606, 4367, 29519, 563, 7072, 543, 6436, 540, 1126, 1893, 11601, 9074, 1071, 268, 4487, 781, 538, 2069, 585, 3610, 540, 6947, 538, 519, 1762, 6267, 262, 4928, 269, 6206, 1913, 281, 840, 2000, 626, 2287, 2238, 267, 6947, 8223, 267, 552, 4148, 6267, 267, 4008, 4367, 6947, 568, 519, 524, 785, 699, 12848, 5578, 538, 2034, 1893, 1565, 269, 14484, 1699, 5380, 593, 1565, 519, 1983, 540, 6947, 543, 6340, 3927, 1454, 547, 519, 9983, 267, 3450, 540, 6947, 5578, 568, 782, 519, 1259, 20495, 269, 23016, 1983, 4367, 2489, 4928, 2994, 547, 1489, 3007, 543, 6947, 1983, 3040, 1694, 519, 1126, 4116, 267, 543, 1205, 4712, 547, 6432, 3040, 946, 519, 563, 7072, 972, 616, 1082, 5686, 540, 7317, 19180, 602, 1522, 581, 8045, 538, 3450, 7005, 6947, 1983, 676, 1210, 7317, 269, 4934, 6050, 476, 272, 4367, 476, 273, 3853, 543, 2553, 585, 3450, 6947, 476, 274, 2994, 585, 3384, 6947, 1983, 476, 276, 1210, 1837, 6947, 2238, 476, 277, 269, 7305, 540, 9115, 476, 272, 4367, 476, 273, 3450, 6947, 543, 6340, 476, 2641, 3450, 6947, 476, 21076, 4162, 540, 6947, 3510, 476, 18891, 15226, 2042, 563, 22826, 6947, 8223, 538, 519, 620, 3455, 1014, 552, 4148, 13460, 568, 2966, 5123, 476, 6349, 281, 4367, 281, 1223, 3450, 6947, 8223, 581, 519, 1292, 269, 7053, 2712, 321, 664, 6212, 593, 2115, 547, 4001, 12332, 538, 519, 2796, 540, 1646, 540, 6947, 8223, 267, 1247, 678, 13704, 20147, 519, 4367, 540, 269, 12039, 2474, 1765, 4289, 2287, 2994, 543, 2553, 267, 6947, 3450, 7154, 267, 1614, 5933, 1775, 4367, 513, 1699, 3510, 538, 2487, 1296, 267, 513, 2647, 269, 21733, 3931, 6947, 1983, 666, 1256, 581, 24858, 585, 930, 4367, 2016, 519, 2956, 540, 6947, 538, 1893, 1565, 543, 3450, 621, 568, 1898, 547, 563, 2467, 568, 2963, 538, 519, 3332, 11021, 602, 1893, 3610, 1265, 519, 3450, 540, 6947, 3226, 4101, 630, 577, 600, 1499, 267, 476, 1960, 277, 2361, 267, 476, 1220, 279, 264, 543, 1547, 1411, 3513, 2744, 1007, 4030, 543, 2093, 585, 3450, 6863, 267, 8239, 267, 6947, 267, 6340, 267, 2542, 267, 543, 1603, 596, 3513, 849, 3605, 1018, 930, 540, 707, 3681, 269, 13445, 476, 274, 1893, 1983, 281, 2542, 267, 6947, 267, 6340, 543, 1603, 4367, 1107, 15149, 538, 3450, 7005, 547, 10529, 540, 824, 4654, 630, 576, 2741, 320, 563, 2791, 666, 2087, 707, 6947, 1983, 543, 1831, 513, 1434, 26575, 5431, 602, 741, 1126, 568, 711, 6947, 610, 14775, 855, 2864, 982, 4001, 873, 2081, 547, 269, 4985, 519, 4567, 540, 6947, 538, 1893, 3292, 814, 22734, 8101, 1689, 538, 2487, 1296, 689, 1373, 513, 20495, 5578, 2124, 326, 730, 547, 8429, 269, 27511, 281, 3498, 267, 32705, 1893, 3450, 1935, 267, 3610, 262, 1909, 267, 3450, 6947, 6340, 1775, 4367, 519, 1909, 540, 519, 4116, 568, 269, 21584, 1923, 593, 23891, 476, 4029, 267, 476, 1001, 279, 267, 530, 11035, 513, 15646, 663, 5984, 543, 1866, 3370, 4367, 547, 3450, 6947, 269, 0, 290, 2787, 538, 519, 1557, 454, 2710, 596, 991, 948, 609, 15986, 11239, 585, 7270, 1287, 946, 938, 11249, 1907, 543 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 513, 2754, 1759, 593, 741, 4205, 269, 901, 6087, 513, 1870, 547, 3715, 922, 6216, 1256, 1354, 513, 23138, 25998, 609, 922, 5370, 563, 15812, 7566, 666, 849, 581, 1031, 547, 1577, 519, 1158, 917, 1018, 707, 1870, 1281, 267, 1018, 3688, 596, 6133, 267, 543, 875, 621, 666, 2087, 1004, 779, 2729, 269, 22411, 338, 666, 581, 4051, 633, 267, 7713, 547, 11570, 3544, 540, 707, 1870, 1946, 789, 2154, 707, 1587, 269, 3958, 267, 6725, 7341, 1450, 513, 1870, 547, 1459, 3294, 267, 607, 1134, 607, 922, 4282, 267, 5411, 267, 543, 4128, 585, 4540, 563, 7804, 1516, 6455, 568, 6725, 779, 3119, 6662, 543, 2744, 269, 11426, 619, 616, 811, 20916, 547, 7119, 538, 6455, 950, 3347, 609, 519, 3919, 616, 1732, 543, 811, 5693, 3989, 269, 1879, 6725, 568, 2944, 1134, 267, 7218, 2097, 547, 707, 1870, 267, 4758, 596, 606, 6316, 936, 30347, 269, 4634, 1498, 519, 1079, 3688, 616, 9838, 538, 1169, 1259, 267, 6725, 666, 1683, 596, 609, 519, 8013, 6316, 602, 2306, 5561, 3442, 596, 936, 707, 30347, 563, 763, 2773, 540, 6725, 1053, 5673, 2390, 1079, 2188, 1107, 1719, 543, 2702, 547, 1382, 269, 1403, 519, 2875, 814, 1312, 891, 7592, 267, 1287, 13197, 713, 4110, 4465, 1406, 581, 818, 706, 748, 269, 9717, 519, 1657, 1344, 827, 1870, 6725, 267, 952, 596, 3068, 1022, 2152, 538, 1620, 267, 713, 1523, 267, 1745, 1863, 547, 3914, 856, 547, 938, 6725, 7084, 948, 4648, 693, 519, 9998, 269, 0, 763, 16669, 1286, 17685, 944, 518, 568, 606, 1271, 4062, 540, 3937, 585, 2413, 2881, 2692, 12737, 539, 9817, 267, 4543, 547, 11694, 2599, 2773, 269, 1358, 616, 3743, 585, 9023, 519, 19316, 2011, 13859, 547, 519, 2599, 676, 519, 2881, 2692, 12737, 518, 269, 1306, 519, 3747, 585, 1164, 26024, 6472, 5170, 547, 2333, 267, 621, 568, 2556, 547, 1174, 519, 1523, 540, 17685, 944, 619, 267, 741, 2010, 267, 543, 1946, 789, 616, 4143, 547, 2221, 781, 6174, 9817, 563, 8245, 2952, 2322, 267, 519, 1286, 17685, 944, 518, 6971, 519, 2837, 540, 519, 19316, 2011, 3812, 676, 519, 2881, 2692, 12737, 518, 1354, 621, 13788, 519, 2599, 269, 4475, 267, 621, 10607, 519, 2599, 781, 1379, 3977, 543, 4398, 267, 799, 568, 2629, 585, 2881, 2692, 12737, 539, 9817, 269, 634, 2324, 6240, 540, 519, 17685, 944, 518, 568, 1360, 2241, 269, 1306, 3905, 19316, 2011, 8928, 883, 519, 17685, 944, 518, 267, 621, 10596, 998, 513, 3060, 540, 12992, 22799, 676, 2011, 610, 1216, 267, 799, 6038, 3579, 338, 519, 19316, 2011, 563, 2467, 616, 1079, 1292, 2010, 540, 17685, 944, 619, 1031, 538, 6517, 269, 1452, 616, 2011, 3562, 25101, 543, 2011, 3562, 21226, 17685, 944, 619, 269, 1323, 2011, 3562, 25101, 17685, 944, 518, 568, 15841, 538, 4395, 540, 513, 1286, 781, 10237, 1807, 610, 824, 5057, 267, 3850, 1164, 268, 767, 6290, 2011, 547, 2095, 998, 519, 17685, 944, 518, 269, 634, 22799, 2011, 3579, 338, 519, 19316, 2011, 269, 1323, 2011, 3562, 21226, 17685, 944, 518, 267, 593, 519, 824, 1688, 267, 3096, 513, 1216, 6802, 547, 32694, 4411, 1216, 998, 513, 3002, 9401, 9734, 267, 7551, 9023, 519, 19316, 2011, 563, 763, 2956, 540, 519, 17685, 944, 518, 538, 1022, 2881, 2692, 12737, 539, 2599, 568, 26837, 4192, 269, 1635, 9023, 519, 19316, 2011, 267, 2599, 5210, 616, 6854, 2539, 1282, 1164, 26024, 6117, 267, 10893, 519, 1981, 540, 2599, 22545, 543, 16411, 269, 634, 1286, 17685, 944, 518, 849, 5849, 5812, 2599, 2773, 543, 2656, 2599, 3210, 676, 4180, 2011, 1922, 3241, 5223, 6617, 269, 3958, 267, 606, 17685, 944, 518, 10607, 2599, 4492, 4398, 267, 6971, 5434, 267, 543, 11498, 2599, 1272, 563, 1103, 3932, 267, 519, 1286, 17685, 944, 518, 568, 606, 1271, 2599, 5057, 2556, 585, 1379, 3977, 267, 2599, 4398, 267, 543, 2949, 6174, 2599, 1072, 269, 1703, 616, 1082, 2010, 540, 17685, 944, 619, 267, 1142, 609, 922, 1378, 2189, 5383, 543, 11393, 269, 1306, 519, 3747, 585, 1164, 26024, 6472, 5170, 547, 1332, 267, 621, 568, 2565, 547, 1174, 875, 519, 17685, 944, 518, 1568, 543, 922, 2956, 538, 2221, 781, 16669, 9817, 269, 0, 302, 1537, 16507, 3968, 630, 628, 337, 2313, 994, 288, 7059, 1062, 815, 513, 6126, 596, 2336, 268, 476, 1428, 1295, 1428, 3764, 454, 268, 5131, 630, 604, 14718, 264, 10403, 630, 604, 14718, 994, 268, 12052, 9335, 14997, 2329, 630, 294, 308, 2752, 14888, 3198, 994, 414, 508, 353, 8682, 12431, 20156, 24920, 281, 2485, 374, 6519, 610, 8645, 22554, 9634, 270, 6312, 2583, 593, 17534, 267, 3330, 5023, 267, 593, 11469, 543, 5924, 8122, 540, 5023, 2485, 374, 595, 2714, 720, 10381, 1700, 3697, 5920, 2485, 374, 4793, 2583, 666, 581, 16150, 539, 1055, 2485, 374, 2904, 1995, 3819, 5023, 543, 5924, 2530, 540, 6492, 2340, 508, 353, 1548, 568, 4278, 2313, 286, 28202, 2313, 568, 513, 13803, 3968, 602, 3123, 3043, 15649, 538, 519, 5023, 543, 593, 519, 11469, 269, 28202, 2313, 568, 1034, 1455, 538, 9002, 543, 4587, 4079, 267, 855, 621, 666, 2049, 693, 1022, 2085, 269, 28202, 2313, 538, 9002, 568, 2356, 711, 3978, 269, 2340, 508, 353, 1548, 3123, 4278, 2313, 286, 1411, 1205, 4278, 2313, 950, 513, 13803, 1572, 15443, 5866, 267, 7363, 1336, 593, 519, 1560, 267, 9428, 856, 540, 1852, 269, 769, 9002, 267, 15443, 5866, 3123, 4278, 2313, 1317, 9002, 262, 4761, 1949, 616, 711, 2943, 2178, 2614, 547, 1852, 519, 2208, 540, 519, 13803, 269, 24771, 1004, 1205, 4278, 2313, 1317, 741, 4761, 1949, 666, 14020, 609, 2085, 269, 2368, 1004, 1205, 4278, 2313, 950, 789, 1491, 1978, 11955, 267, 971, 607, 11216, 610, 31067, 29416, 8803, 6950, 269, 4658, 945, 723, 1978, 1072, 2042, 267, 971, 607, 3987, 610, 7486, 267, 616, 849, 811, 2693, 547, 1205, 4278, 2313, 269, 2340, 508, 353, 1548, 616, 519, 2589, 286, 634, 1034, 1455, 2589, 540, 4278, 2313, 616, 3043, 15649, 602, 6529, 547, 519, 3330, 540, 519, 5023, 543, 11469, 269, 769, 9002, 267, 621, 568, 2653, 547, 12161, 4278, 2313, 585, 5144, 610, 4542, 269, 898, 5654, 899, 32119, 10381, 610, 5144, 1225, 1091, 269, 5213, 1405, 2119, 547, 26763, 2476, 891, 15649, 267, 1317, 596, 666, 1118, 873, 2699, 543, 15319, 269, 2368, 9002, 609, 4278, 2313, 666, 581, 1835, 1678, 344, 543, 798, 711, 1616, 547, 3548, 563, 4968, 12052, 9335, 1948, 12208, 267, 21919, 5979, 3591, 267, 7460, 267, 4516 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 585, 519, 1964, 540, 1250, 1272, 269, 594, 11291, 1864, 4946, 267, 968, 3719, 713, 568, 606, 3078, 1747, 269, 4208, 1810, 1406, 596, 1294, 1018, 3116, 596, 1522, 1616, 547, 798, 9495, 2755, 594, 4797, 2324, 593, 2208, 9449, 547, 2628, 585, 12899, 543, 519, 3923, 779, 10519, 267, 12815, 534, 543, 594, 4956, 547, 1445, 593, 835, 2243, 281, 875, 1281, 519, 1591, 917, 950, 7378, 568, 1459, 286, 1284, 3323, 538, 476, 3422, 274, 543, 16309, 267, 855, 621, 3576, 721, 1454, 3476, 982, 649, 4397, 547, 5581, 602, 1101, 1900, 538, 7378, 2962, 563, 297, 5746, 281, 1215, 2352, 729, 621, 585, 519, 2361, 547, 3398, 519, 1249, 602, 7378, 1223, 723, 513, 13805, 888, 305, 1054, 281, 594, 3314, 9306, 930, 540, 519, 13805, 960, 693, 1896, 5140, 4081, 7740, 543, 519, 5304, 1175, 3168, 693, 803, 267, 11842, 1946, 594, 1131, 581, 3257, 713, 269, 1284, 30174, 282, 519, 1523, 540, 1591, 1606, 16577, 13364, 5555, 3323, 547, 2744, 2647, 10343, 563, 297, 5746, 281, 4208, 1705, 596, 4734, 22078, 295, 547, 979, 547, 8592, 22846, 286, 1656, 1946, 1705, 596, 22141, 2509, 12908, 12278, 4915, 888, 305, 1054, 281, 594, 729, 693, 22078, 295, 585, 476, 2918, 1296, 269, 1635, 602, 942, 267, 594, 729, 13886, 547, 513, 27404, 543, 1250, 1614, 1453, 941, 16042, 2852, 2085, 269, 1403, 594, 1185, 18423, 693, 22078, 295, 267, 594, 729, 14126, 602, 1250, 3214, 1131, 2842, 909, 609, 2462, 2852, 22440, 543, 594, 2219, 602, 729, 971, 513, 11411, 282, 594, 1185, 8854, 998, 2852, 609, 1100, 7963, 269, 2334, 19430, 803, 547, 1413, 1472, 267, 543, 22846, 1185, 513, 2816, 1930, 538, 12908, 12278, 4915, 269, 634, 2462, 5413, 540, 602, 2990, 729, 602, 519, 2817, 4659, 593, 28544, 630, 301, 8656, 264, 1185, 513, 1360, 1434, 1382, 1982, 538, 22768, 630, 29951, 8809, 547, 22846, 264, 799, 3769, 513, 1360, 3638, 25012, 1895, 269, 2201, 1957, 267, 519, 1847, 5654, 2462, 267, 855, 538, 4641, 267, 621, 729, 711, 513, 1390, 20014, 563, 297, 5746, 281, 2991, 8370, 1296, 693, 22846, 267, 596, 6410, 1586, 547, 1831, 519, 7022, 543, 16628, 540, 519, 20266, 1077, 4659, 538, 1715, 3840, 269, 12984, 602, 9141, 676, 513, 7287, 547, 2132, 547, 1715, 3840, 610, 519, 4316, 585, 513, 5718, 2990, 888, 305, 1054, 281, 898, 729, 2731, 606, 4316, 585, 513, 5718, 2990, 269, 594, 729, 1175, 7432, 476, 4792, 269, 589, 2603, 540, 519, 9945, 1616, 547, 1847, 596, 2059, 693, 602, 1448, 269, 634, 20266, 1077, 4659, 1185, 1434, 1762, 1004, 269, 594, 1185, 513, 1279, 29280, 2594, 540, 4543, 1762, 3173, 1020, 267, 865, 594, 729, 513, 1434, 3514, 585, 741, 2816, 269, 594, 729, 972, 585, 827, 513, 1032, 950, 519, 20266, 1077, 13384, 832, 3323, 547, 2015, 513, 1689, 538, 4287, 269, 594, 729, 6236, 2469, 1394, 547, 22846, 267, 950, 519, 20266, 1077, 779, 7023, 267, 3345, 1744, 648, 1700, 299, 296, 297, 2657, 3590, 1496, 852, 3345, 6202, 2657, 316, 4280, 803, 547, 3251, 269, 1358, 6035, 803, 519, 2990, 607, 12908, 12278, 1014, 2987, 268, 27815, 540, 519, 2564, 1062, 269, 898, 729, 693, 602, 942, 789, 4956, 602, 789, 941, 2469, 979, 2101, 21597, 267, 1376, 513, 2564, 1153, 543, 1902, 538, 5969, 12967, 1382, 269, 898, 729, 2943, 1776, 3078, 4316, 269, 1656, 865, 2484, 267, 3345, 6202, 814, 1044, 1360, 4412, 4854, 538, 799, 1259, 547, 979, 269, 1358, 616, 1631, 519, 4102, 1072, 1062, 538, 1715, 3840, 3557, 563, 297, 5746, 281, 2659, 27466, 525, 936, 942, 723, 3769, 17587, 15356, 23602, 267, 2817, 9142, 2818, 267, 513, 945, 779, 945, 540, 519, 10307, 2361, 609, 7585, 700, 1030, 330, 578, 6308, 267, 22526, 918, 23167, 267, 27050, 918, 23167, 267, 11518, 4469, 1512, 267, 1851, 1866, 563, 305, 1054, 281, 594, 1589, 602, 649, 941, 18822, 269, 594, 2141, 2219, 602, 1250, 2816, 729, 547, 18609, 1250, 27466, 525, 602, 952, 789, 5249, 2182, 267, 789, 1131, 723, 1169, 4960, 547, 8011, 269, 3509, 540, 519, 11022, 338, 3357, 609, 5266, 2370, 1382, 4282, 3379, 547, 519, 12854, 338, 269, 1284, 5249, 1360, 2182, 609, 873, 267, 543, 938, 2816, 729, 547, 5000, 873, 543, 948, 873, 798, 519, 1318, 6901, 563, 297, 5746, 281, 5695, 940, 689, 29013, 547, 1373, 6497, 1819, 281, 962, 531, 578, 729, 711, 528, 13124, 535, 30711, 269, 1548, 729, 602, 2078, 899, 888, 305, 1054, 281, 1280, 1454, 540, 1250, 1382, 4876, 267, 962, 531, 578, 5701, 803, 607, 513, 5172, 267, 1519, 803, 543, 1250, 7385, 19626, 538, 962, 531, 578, 1920, 2621, 267, 1519, 519, 5428, 538, 14351, 27048, 693, 519, 942, 540, 1200, 17587, 15356, 269, 2201, 519, 824, 1688, 267, 1352, 1419, 4682, 856, 540, 1200, 1259, 547, 4161, 630, 514, 1857, 264, 960, 689, 1250, 2978, 269, 769, 1250, 2038, 1296, 693, 22078, 295, 267, 621, 3576, 803, 3275, 547, 18609, 1200, 602, 519, 6375, 334, 817, 599, 762, 7378, 538, 1973, 849, 3769, 605, 1231, 6081, 543, 824, 7378, 24888, 6675, 269, 769, 2663, 1296, 267, 1352, 13934, 938, 4681, 602, 4551, 723, 6915, 5562, 30902, 602, 616, 1360, 2147, 547, 27899, 10399, 269, 3204, 21884, 2406, 267, 1352, 1705, 711, 2661, 547, 1294, 938, 2487, 8313, 540, 519, 476, 3451, 1700, 3133, 334, 3679, 26733, 5950, 676, 661, 269, 19546, 602, 20998, 14668, 5336, 17239, 543, 20554, 295, 538, 2497, 267, 855, 2523, 538, 6915, 13808, 538, 20117, 543, 538, 24155, 563, 297, 5746, 281, 1548, 824, 4876, 1223, 723, 6854, 596, 7722, 936, 707, 1272, 888, 305, 1054, 281, 594, 6557, 5051, 18617, 602, 713, 729, 519, 1318, 2619, 585, 803, 269, 594, 6557, 711, 2386, 594, 1131, 723, 1044, 607, 6126, 543, 24009, 3257, 4376, 3116, 269, 1548, 3116, 1223, 594, 723, 2944, 286, 594, 1223, 1294, 3450, 269, 594, 899, 3450, 563, 15648, 281, 9736, 476, 1708, 271, 267, 1977, 5980, 585, 11916, 27148, 563, 27270, 1344, 281, 808, 7885, 7767, 269, 476, 1708, 271, 282, 9873, 263, 278, 2567, 18357, 272, 1700, 18357, 273, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 14056, 273, 32434, 5746, 15946, 22724, 269, 0, 5591, 2027, 2732, 568, 2838, 267, 1175, 10891, 1018, 596, 3548, 547, 2327, 602, 707, 5144, 1152, 2488, 5567, 602, 4324, 707, 4816, 779, 2208, 563, 6781, 913, 782, 267, 1246, 513, 7059, 2732, 269, 3807, 899, 596, 267, 707, 1560, 568, 5863, 256, 898, 814, 9863, 602, 936, 891, 8370, 3275, 1282, 799, 707, 4816, 8057, 269, 1656, 1964, 21407, 267, 621, 786, 3136, 547, 948, 596, 2285, 1864, 610, 1200, 519, 1655, 269, 1411, 723, 1044, 8600, 585, 8808, 2094, 519, 1376, 540, 707, 6379, 543, 707, 5144, 786, 6157, 581, 540, 1434, 2298, 563, 1103, 1931, 547, 2285, 2470, 513, 4543, 1688, 267, 3274, 2327, 596, 1246, 513, 2635, 267, 7059, 2732, 912, 4002, 519, 10624, 281, 12866, 13980, 540, 4829, 543, 5388, 829, 1554, 267, 2185, 10683, 2472, 267, 24799, 630, 30103, 267, 18437, 267, 7573, 264, 610, 22053, 693, 1142, 7594, 267, 607, 1134, 607, 5946, 630, 1889, 520, 267, 3165, 267, 5798, 1040, 1656, 798, 711, 7340, 547, 3251, 1134, 19872, 2901, 267, 1510, 936, 4777, 532, 621, 281, 1216, 568, 1898, 585, 707, 1560, 855, 6704, 811, 982, 476, 272, 269, 276, 331, 547, 476, 273, 331, 829, 1554, 786, 711, 2333, 707, 5144, 2504, 2336, 292, 520, 3388, 855, 1862, 2755, 8808, 267, 596, 666, 3548, 3388, 855, 538, 10257, 5666, 267, 30945, 13980, 786, 711, 723, 1022, 3152, 1764, 593, 519, 2298, 540, 707, 5144, 269, 1717, 267, 607, 851, 540, 519, 1426, 596, 3548, 814, 606, 1764, 593, 519, 5888, 540, 6089, 332, 20488, 630, 325, 1846, 543, 8324, 1070, 2141, 2119, 547, 3548, 513, 2635, 267, 7059, 2732, 609, 519, 5354, 540, 707, 1426, 1373, 5388, 267, 4829, 543, 1164, 2298, 3940, 563, 4517, 3970, 267, 610, 1256, 1732, 267, 798, 1510, 14933, 543, 4568, 267, 799, 1780, 883, 707, 5144, 835, 547, 1614, 3108, 1310, 4616, 269, 1403, 596, 1616, 547, 723, 513, 6995, 610, 4837, 540, 13084, 27158, 689, 942, 547, 942, 267, 2141, 7227, 2394, 519, 1439, 540, 20418, 269, 14351, 909, 593, 7513, 454, 17954, 770, 16567, 786, 2721, 8185, 593, 707, 7513, 14425, 269, 1924, 596, 786, 723, 547, 1118, 909, 585, 519, 2530, 540, 713, 7777, 267, 1312, 547, 1832, 707, 7633, 2635, 543, 3049, 707, 4816, 607, 2679, 7633, 3217, 513, 2603, 540, 7513, 563, 8489, 547, 1265, 621, 281, 962, 26710, 4669, 267, 5144, 267, 10683, 2472, 267, 10381, 267, 3092, 269, 972, 616, 1082, 2959, 540, 7513, 543, 596, 786, 581, 2386, 547, 2057, 10638, 676, 10438, 2185, 10683, 2472, 829, 1554, 269, 1717, 267, 7703, 538, 2247, 602, 29380, 525, 585, 10825, 543, 23161, 685, 5144, 610, 13265, 779, 5144, 29380, 525, 723, 9425, 1970, 7513, 9115, 1247, 621, 568, 2182, 29380, 525, 630, 3481, 323, 541, 267, 27615, 344, 699, 267, 3092, 4700, 602, 723, 519, 5207, 7513, 1543, 563, 9827, 267, 930, 7777, 7297, 723, 513, 1164, 7513, 1543, 267, 799, 786, 7110, 707, 3232, 6981, 952, 2556, 269, 1306, 561, 3563, 807, 543, 13687, 7578, 3112, 581, 5293, 593, 547, 707, 4816, 998, 6089, 332, 20488, 267, 972, 568, 1100, 2601, 547, 2057, 6151, 5144, 29380, 525, 267, 799, 596, 616, 15695, 711, 547, 3548, 1282, 6379, 267, 8259, 15695, 711, 547, 798, 865, 676, 513, 4387, 269, 1717, 267, 952, 707, 4816, 7140, 856, 547, 581, 13027, 547, 16933, 685, 5144, 5946, 630, 3712, 545, 267, 26533, 1070, 596, 949, 711, 581, 2111, 547, 3548, 10683, 2472, 1247, 8808, 563, 30696, 593, 4401, 454, 27860, 568, 606, 23731, 334, 3887, 2211, 602, 519, 1560, 3112, 30075, 269, 1403, 596, 723, 606, 4401, 10638, 267, 707, 2699, 1973, 1293, 12772, 543, 596, 1981, 4742, 3170, 580, 4240, 543, 811, 7925, 547, 5563, 269, 769, 1840, 267, 707, 4816, 2115, 519, 4401, 538, 707, 5144, 547, 13822, 922, 1973, 2527, 267, 3092, 269, 901, 568, 1946, 596, 1590, 581, 2386, 547, 2057, 10638, 269, 16202, 3536, 602, 723, 513, 1164, 4401, 1543, 543, 2057, 1932, 1454, 6995, 267, 7401, 610, 9174, 267, 799, 2569, 922, 10338, 563, 8489, 547, 1265, 621, 281, 1403, 596, 899, 873, 267, 7703, 538, 2247, 602, 519, 3536, 609, 519, 5207, 4401, 1543, 616, 3109, 30077, 532, 543, 1055, 531, 607, 1134, 607, 14132, 267, 21868, 543, 16872, 630, 1195, 9094, 267, 804, 4461, 1040, 4014, 4401, 540, 3662, 5169, 568, 519, 1655, 15849, 23624, 1282, 12536, 267, 596, 666, 849, 1265, 1434, 5666, 540, 4401, 538, 22053, 630, 331, 550, 2812, 267, 7105, 701, 553, 1070, 2898, 22596, 24799, 630, 342, 17742, 10351, 264, 543, 930, 5388, 630, 322, 816, 267, 22282, 543, 15352, 6614, 779, 4583, 22156, 1916, 2710, 711, 11716, 1898, 9761, 7408, 454, 7312, 1560, 2115, 9600, 269, 1656, 538, 1880, 5667, 18260, 9761, 7408, 630, 325, 1846, 1336, 538, 2371, 543, 3165, 1070, 799, 616, 1898, 9761, 7408, 602, 707, 1560, 3112, 3132, 269, 9796, 2027, 3007, 547, 713, 6981, 607, 621, 568, 607, 1898, 585, 519, 2953, 1646, 540, 707, 2370, 835, 779, 2634, 607, 621, 568, 585, 4509, 519, 3666, 540, 707, 8401, 1062, 269, 898, 949, 1256, 2569, 519, 1981, 540, 2022, 562, 7614, 4965, 269, 2755, 711, 6028, 873, 856, 540, 707, 2732, 4625, 267, 9793, 15459, 9761, 3679, 630, 322, 1245, 11912, 543, 9761, 5779, 264, 4616, 563, 8489, 547, 1265, 873, 281, 12708, 9761, 7408, 543, 538, 1880, 26102, 268, 274, 666, 581, 1336, 1101, 543, 19466, 538, 9761, 3165, 630, 15680, 3000, 267, 521, 731, 1149, 267, 3092, 4700, 543, 930, 11041, 630, 1905, 3150, 539, 267, 9267, 18133, 1040, 5565, 26486, 540, 22850, 3150, 539, 3282, 513, 1554, 593, 10448, 16853, 786, 581, 6190, 547, 2743, 707, 26102, 476, 274, 4170, 269, 15240, 1734, 547, 2057, 1879, 20418, 267, 596, 1780, 519, 1434, 5567, 593, 547, 707, 4816, 855, 849, 3006, 1346, 602, 616, 711, 865, 1434, 2483, 2690, 519, 4324, 540, 707, 4816, 267, 798, 711, 3548, 610, 2759, 1524, 593, 519, 1739, 912, 303, 6756, 7491, 281, 952, 972, 616, 3105, 2665, 540, 1426, 11959, 538, 519, 1920, 267, 707, 4816, 949, 849, 581, 693, 1981, 540, 3384, 835, 269, 1924, 2057, 4189, 1426, 609, 30637, 1247, 8808, 543 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 10540, 338, 267, 543, 519, 10540, 1281, 711, 917, 1018, 1543, 824, 1004, 723, 1044, 10438, 563, 18850, 30744, 1514, 5121, 723, 267, 2705, 267, 1896, 2640, 585, 519, 1004, 602, 946, 873, 936, 21438, 5121, 912, 268, 634, 1239, 827, 513, 1268, 568, 6740, 1369, 519, 10540, 540, 602, 1268, 267, 7393, 7834, 543, 4227, 519, 1764, 540, 1412, 31162, 557, 11462, 16851, 10086, 519, 2165, 585, 3549, 10655, 5318, 7708, 1407, 540, 1239, 827, 1004, 547, 11694, 519, 8907, 829, 740, 789, 1397, 547, 1346, 1004, 563, 268, 3962, 1268, 666, 2824, 519, 5690, 547, 5352, 741, 3049, 610, 15415, 607, 789, 723, 2407, 1569, 547, 519, 1344, 827, 2933, 538, 741, 1239, 10540, 269, 1879, 596, 666, 3442, 519, 5690, 3054, 267, 596, 666, 4584, 6620, 602, 1810, 1405, 4225, 21924, 519, 6278, 609, 519, 1514, 3060, 543, 2569, 519, 2179, 540, 1543, 5697, 547, 679, 14141, 267, 19225, 523, 267, 610, 18427, 824, 2942, 4664, 269, 634, 2243, 568, 3976, 281, 1215, 666, 7856, 1514, 5121, 2936, 1543, 16252, 7207, 538, 513, 7347, 267, 27249, 267, 543, 1942, 15807, 6189, 602, 1281, 711, 2258, 622, 519, 7834, 2640, 540, 741, 7856, 2470, 888, 16248, 2009, 4485, 585, 519, 1239, 6602, 616, 912, 268, 2422, 623, 273, 303, 13033, 547, 5385, 1239, 269, 10671, 3949, 585, 1239, 666, 581, 9938, 1221, 689, 835, 10540, 547, 519, 1985, 1759, 593, 519, 1514, 3113, 540, 519, 1268, 27510, 519, 7662, 269, 13689, 593, 519, 3498, 267, 1004, 949, 6999, 547, 6615, 4687, 547, 741, 1920, 11721, 12188, 270, 31371, 26092, 270, 3712, 548, 8046, 269, 1280, 824, 3156, 267, 4687, 26687, 1242, 1239, 609, 9962, 9458, 949, 581, 11807, 563, 268, 12706, 513, 11451, 3838, 1239, 1305, 609, 782, 1239, 281, 5269, 1142, 10540, 6023, 519, 11411, 540, 16475, 930, 540, 519, 1239, 1305, 543, 723, 513, 23332, 7271, 865, 602, 513, 10540, 6487, 1018, 10540, 338, 547, 3346, 585, 17034, 602, 695, 731, 540, 519, 1239, 563, 268, 10572, 10540, 338, 14202, 741, 10015, 730, 543, 26687, 1242, 1239, 547, 513, 3844, 16286, 269, 634, 16286, 3157, 519, 1239, 543, 2306, 621, 2139, 547, 519, 10540, 338, 269, 634, 2857, 2658, 6620, 4881, 593, 519, 10540, 666, 946, 922, 2199, 1239, 543, 519, 9268, 1239, 689, 519, 16286, 547, 1118, 7840, 269, 2353, 1614, 3681, 3180, 9153, 4470, 593, 519, 2934, 3177, 676, 1114, 2533, 269, 634, 6388, 540, 519, 10540, 338, 666, 15407, 3105, 960, 689, 7856, 2533, 971, 607, 7856, 3406, 9817, 630, 312, 659, 328, 1070, 623, 273, 303, 4687, 5121, 267, 7856, 3366, 7970, 267, 543, 13618, 6620, 563, 4407, 519, 10540, 338, 2087, 7834, 267, 1004, 1590, 2671, 930, 540, 741, 1239, 547, 5512, 7840, 593, 1514, 5121, 269, 1358, 786, 723, 547, 2824, 519, 2533, 602, 2936, 713, 4687, 1759, 593, 741, 6268, 540, 519, 2640, 540, 11836, 519, 3028, 8957, 519, 4110, 540, 2530, 540, 7834, 269, 634, 1635, 18649, 7856, 1514, 13033, 3760, 28352, 1412, 11907, 11731, 262, 24451, 676, 519, 10540, 602, 12799, 14574, 875, 519, 1239, 585, 519, 3028, 538, 519, 10540, 568, 3838, 269, 4033, 5867, 949, 711, 1683, 971, 513, 4183, 267, 855, 1004, 786, 1869, 723, 1852, 936, 519, 1239, 6740, 538, 741, 10540, 543, 666, 3247, 2417, 4687, 602, 1239, 693, 1022, 1448, 563, 10144, 949, 2154, 689, 2533, 602, 1022, 3838, 1344, 568, 26687, 1242, 269, 2755, 19003, 856, 13948, 268, 1211, 16666, 1239, 2798, 543, 814, 3107, 1239, 666, 12404, 9562, 585, 1507, 1239, 5036, 267, 2533, 593, 7856, 1514, 5121, 1590, 2015, 602, 3573, 4015, 540, 26687, 1242, 1344, 949, 581, 693, 1981, 540, 632, 12845, 7716, 1436, 269, 634, 2533, 1590, 1374, 3435, 547, 7413, 1346, 4220, 563, 1103, 782, 855, 519, 10545, 3060, 540, 10540, 338, 267, 972, 568, 513, 1981, 602, 930, 10540, 338, 616, 13234, 676, 3983, 11051, 543, 7696, 11234, 1239, 269, 901, 666, 1267, 538, 1004, 3478, 11234, 7840, 269, 901, 1966, 568, 2907, 1459, 538, 21438, 1514, 5121, 267, 1141, 519, 3549, 26539, 519, 2533, 1118, 8795, 2157, 540, 4674, 547, 9793, 782, 11643, 1543, 267, 609, 8795, 2157, 540, 1967, 269, 589, 811, 2500, 543, 27249, 20208, 4640, 949, 581, 16107, 519, 1514, 11708, 547, 9793, 1543, 269, 5502, 540, 513, 2582, 2754, 30191, 741, 15645, 908, 4507, 543, 267, 538, 930, 2665, 267, 17528, 547, 2936, 873, 3927, 267, 7856, 1514, 5121, 1223, 7668, 1004, 547, 2824, 741, 15645, 2209, 269, 1715, 267, 1930, 21299, 7856, 1514, 5121, 1683, 513, 3760, 547, 1382, 543, 4603, 609, 971, 2994, 563, 763, 15760, 302, 6395, 7856, 1514, 13033, 3760, 568, 4867, 7598, 623, 273, 303, 7207, 543, 20217, 3025, 547, 3984, 741, 1378, 10540, 543, 3565, 547, 519, 1374, 543, 6388, 540, 519, 3760, 543, 2533, 593, 519, 3760, 269, 0, 4089, 281, 3194, 5358, 454, 20812, 8455, 543, 4112, 528, 2218, 11310, 20570, 454, 32474, 6602, 538, 12240, 267, 1702, 6602, 538, 12240, 11461, 676, 6389, 1702, 267, 1239, 5599, 267, 1239, 3408, 267, 6101, 1523, 2079, 267, 8760, 267, 4806, 5599, 267, 10230, 2409, 538, 1239, 5599, 563, 15447, 1578, 6602, 538, 12240, 630, 298, 24884, 264, 6663, 693, 12423, 3270, 538, 1804, 12240, 269, 1452, 3270, 666, 1287, 581, 14648, 607, 1702, 4559, 547, 581, 32419, 538, 1702, 1949, 269, 3245, 606, 10512, 1448, 540, 2070, 267, 519, 918, 24884, 1184, 568, 1759, 593, 1614, 1292, 3268, 281, 630, 328, 264, 5542, 543, 7041, 540, 519, 1239, 267, 630, 4512, 264, 1239, 5599, 267, 630, 13839, 264, 7664, 540, 519, 4362, 3270, 269, 634, 918, 24884, 1184, 1107, 553, 8045, 538, 519, 2107, 335, 841, 548, 584, 2319, 1700, 568, 1759, 593, 1239, 5599, 2409, 799, 616, 2901, 12572, 610, 10230, 269, 13507, 545, 2409, 616, 1759, 593, 4806, 5599, 630, 324, 3052, 269, 5599, 7928, 3688, 1115, 267, 7681, 3652, 267, 9696, 1862, 1070, 31131, 10417, 5811, 630, 293, 7563, 3738, 543, 24909, 540, 674, 7563, 971, 607, 23694, 23113, 476, 543, 4039, 1049, 10417, 5811, 630, 305, 7563, 15426, 31592, 2409, 616, 1759, 593, 15932, 5983, 7370, 267, 25789, 300, 267, 22532, 17978, 267, 543, 2625, 8494, 2065, 4485, 971, 607, 2034, 19195, 26726, 4460, 990, 17738, 630, 295, 12613, 30155, 291, 558, 664, 1702, 267, 950, 2139, 267, 666, 2087, 543, 3391, 519, 918, 24884, 1184, 267, 1570, 1944, 519, 2856, 540, 11310, 20570, 11461, 676, 23792, 11310, 610, 918, 24884, 298, 269, 769, 918, 24884, 298, 267, 6389, 1702, 4249, 513, 1909, 693, 1142, 1900, 540, 918, 24884, 281, 519, 4362, 3270, 666, 581, 14648, 607, 1702, 4559, 543, 32419, 585, 1966, 9010, 2238, 538, 1702, 1949, 267, 7598, 519, 30405, 1184, 968, 332, 1456, 267, 16208, 630, 7116, 9934, 1070, 8204, 267, 543, 7744, 6100, 769, 713, 1259, 267, 1702, 6602, 5526, 607, 513, 4295, 4305, 538, 1702, 4702, 267, 609, 606, 1764, 538, 1585, 23066, 2238, 267, 552, 3052, 269, 1344, 23023, 267, 16252, 543, 23835, 1108, 4702, 269, 2974, 783, 3498, 11890, 1331, 989, 25348, 267, 17651, 267, 7350, 267, 7998, 267, 543, 4915, 563, 3080, 1292, 5106, 538, 519, 1382, 960, 540, 2107, 335, 841, 548, 584, 593, 918, 24884, 298, 568, 8760, 267, 799, 568, 513, 26340, 545, 1184, 3238, 538, 9781, 267, 5599, 267, 8204, 267, 543, 7744, 4247, 269, 19032, 2042, 666, 581, 6101, 1242, 676, 1797, 540, 513, 1362, 540, 3615, 630, 528, 2043, 1070, 513, 1362, 540, 10305, 630, 528, 3601, 1070, 543, 513, 9352, 19359, 1063, 519, 1079, 5049, 267, 10834, 585, 1142, 1367, 3491, 704, 1399, 6292, 2436, 519, 3959, 10039, 547, 519, 1367, 610, 711, 269, 634, 3601, 949, 581, 2934, 602, 616, 1459, 610, 15534, 267, 610, 519, 2418, 540, 513, 3959, 602, 723, 1044, 9927, 883, 9352, 4632, 269, 31131, 10417, 5811, 630, 293, 7563, 264, 12346, 593, 519, 2079, 540, 971, 9352, 7515, 543, 949, 581, 2808, 607, 513, 12572, 1239, 5599, 4480, 547, 581, 1031, 585, 25935, 513, 1305, 540, 6101, 2035, 1287, 6896, 1369, 513, 1523, 24775, 476, 630, 935, 1061, 22092, 1182, 616, 849, 1634, 607, 968, 29727, 12251, 22092, 1182, 892, 30155, 1103, 6252, 267, 519, 3406, 585, 7928, 3688, 1115, 543, 519, 10868, 540, 7681, 3652, 616, 1134, 8153, 12572, 1239, 5599, 2409, 267, 1644, 547, 674, 7563, 630, 716, 1302, 10478, 585, 7928, 3688, 1115, 666, 581, 6956, 607, 21986, 532, 513, 1523, 24775, 1040, 5637, 3157, 2356, 3132, 513, 1804, 1297, 540, 3688, 543, 3652, 267, 3056, 547, 519, 2404, 2042, 540, 968, 332, 1456, 519, 5036, 540, 13939, 3688, 543, 3652, 6100, 2368, 29162, 540, 3688, 1115, 267, 552, 3052, 269, 7928, 6806, 3688, 1115, 630, 15598, 3674, 1070, 1450, 4466, 4277, 29162, 540, 7681, 3652, 267, 552, 3052, 269, 13181, 7681, 3652, 269, 901, 6941, 1946, 1896, 6620, 616, 2877, 585, 5599, 1239, 4470, 593, 1808, 3156, 4586, 2690, 1373, 2111, 547, 4308, 609, 1950, 543, 1804, 1239, 267, 10230, 1239, 5599, 2409, 666, 581, 2404, 609, 12572, 2409, 267, 585, 5355, 31675, 543, 4398, 540, 1702, 6602, 269, 901, 568, 3226, 3020, 538, 8760, 267, 1141, 24892, 543, 5667, 10967, 14876, 4485, 949, 581, 5916, 609, 2640, 1547, 0, 20606, 710, 540, 26194, 334, 281, 589, 22335, 630, 6124, 9990, 267, 609, 606, 9210, 559, 4084, 264, 1496, 31342, 267, 8834, 316, 593, 8835, 2593, 269, 2608, 293, 12767, 265, 11288, 593, 27216, 3091, 269, 27596, 540, 26194, 334, 281, 589, 454, 5804, 1010, 4332, 538, 513, 1507, 3345, 3979, 4884, 267, 27596, 6785, 519, 3909, 3604, 11566, 519, 14730, 1145, 8709, 638, 1639, 269, 2991, 513, 1032, 538, 7507, 267, 27596, 6410, 1586, 267, 547, 1831, 519, 7548, 540, 20116, 585, 519, 2749, 540, 3245, 31494, 547, 24649, 269, 27596, 781, 1530, 927, 320, 1592, 534, 533, 18033, 1007, 16447, 1890, 743, 31638, 3820, 670, 657, 1520, 331, 2320, 529, 5734, 30198, 5918, 2113, 329, 2632, 1023, 536, 7238, 14982, 522, 577, 1050, 330, 614, 538, 558, 27362, 710, 540, 20361, 334, 22870, 3771, 1696, 339, 1786, 1777, 4990, 2939, 1285, 536, 7238, 14982, 267, 21959, 267, 682, 802, 6033, 267, 533, 903, 1088, 267, 521, 7564, 961, 12921, 777, 1087, 335, 601, 267, 632, 330, 2610, 522, 577, 1250, 1188, 564, 5789, 535, 23152, 679, 8300, 8681, 324, 642, 731, 698, 269, 769, 476, 4375, 272, 267, 27596, 729, 12303, 7142, 547, 4309, 3921, 1588, 676, 519, 4168, 30798, 538, 26194, 334, 269, 1547, 1547, 3973, 950, 519, 11361, 24649, 540, 26194, 334, 5551, 513, 1071, 1532, 12360, 267, 27596, 729, 2899, 268, 28785, 20399, 883, 3028, 563, 268, 8065, 560, 320, 533, 1952, 619, 321, 745, 330, 7658, 325, 517, 454, 268, 2717, 4345, 6390, 1361, 860, 1512, 3534, 454, 268, 21537, 10176, 4161, 454, 268, 918, 3326, 320, 26627, 7373, 17243, 902, 1003, 1067, 454, 268, 918, 1258, 7416, 562, 329, 2720, 341, 1731, 339, 28561, 454, 268, 700, 25729, 560, 559, 1775, 737, 20199, 5300, 5471, 454, 20606, 710, 540, 26194, 334, 729, 4535, 538, 519, 4936, 19435, 540, 6613, 573, 807, 630, 19640, 27988, 807, 264, 593, 476, 1724, 628, 5437, 476, 30500, 5084, 269, 3571, 3993, 267, 3933, 3821, 267, 729, 513, 1821, 719, 4168, 267, 1247, 1010, 4651, 4793, 878, 3780, 729, 513, 623, 12298, 269, 898, 568, 5156, 602, 1010, 1920, 941, 7137, 1499, 267, 606, 6803, 1895, 6805, 547, 3345, 4000, 269, 476, 1708, 271, 268, 1015, 268, 1691, 5788, 27596, 540, 26194, 334, 269, 27596, 729, 4535, 538, 476, 30500, 589, 6185, 269, 538, 1459, 6377, 27988, 807, 563, 15697, 7734, 676, 269, 12142, 27596, 540, 26194, 334, 630, 20606, 710, 267, 540, 26194, 334, 267, 12142, 267, 476, 30500, 268, 25396, 264, 6732, 2835, 827, 713, 2278, 616, 2139, 267, 607, 568, 513, 9504, 2376, 10756, 1607, 3184, 6799, 2185, 3344, 540, 27596, 540, 26194, 334, 779, 1620, 540, 1312, 1876, 543, 6214, 538, 2185, 5094, 5322, 269, 634, 1101, 3350, 13187, 602, 27596, 4371, 602, 972, 941, 693, 2547, 2185, 2249, 540, 1876, 281, 630, 272, 264, 519, 18163, 1876, 267, 799, 568, 2696, 282, 630, 273, 264, 519, 2067, 1876, 267, 799, 568, 513, 968, 2254, 542, 892, 540, 519, 18163, 1876, 968, 11069, 5962, 892, 593, 1480, 7919, 267, 543, 3976, 606, 2460, 540, 519, 17916, 3239, 540, 454, 30500, 910, 476, 25396, 264, 729, 606, 27988, 1014, 7304, 2674, 14544, 543, 31188, 1014 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 3895, 1164, 968, 21112, 892, 8501, 2157, 267, 607, 1134, 607, 1896, 824, 1072, 2152, 563, 13510, 665, 15606, 616, 519, 3501, 3170, 8781, 1426, 269, 3245, 7393, 3170, 13345, 10307, 547, 9505, 1154, 1524, 19346, 610, 4006, 13345, 543, 6159, 1324, 267, 25636, 2337, 3666, 1973, 4006, 267, 799, 568, 1898, 547, 4831, 532, 1896, 3676, 269, 1358, 616, 2189, 538, 602, 789, 616, 9286, 607, 606, 522, 1176, 10874, 787, 4829, 267, 855, 789, 1810, 1406, 2270, 4006, 267, 799, 1797, 789, 616, 3362, 7558, 1043, 269, 634, 22800, 25636, 568, 3274, 519, 1655, 4492, 547, 2322, 883, 707, 4492, 7382, 269, 3399, 4189, 19146, 15606, 543, 596, 786, 581, 1732, 23185, 909, 585, 519, 4155, 6619, 547, 1831, 8902, 2336, 4263, 27999, 24524, 4659, 267, 649, 4001, 543, 5721, 1004, 547, 14133, 538, 782, 2127, 540, 741, 1272, 267, 1519, 741, 968, 15933, 14893, 5004, 1848, 1284, 616, 513, 4168, 2861, 3872, 9744, 602, 2488, 782, 540, 519, 2200, 543, 6791, 547, 3666, 835, 779, 1272, 1472, 519, 2185, 22225, 540, 18321, 267, 8682, 267, 7731, 543, 5020, 779, 4518, 269, 1284, 616, 6131, 547, 4543, 596, 2087, 707, 1072, 543, 8516, 538, 891, 2127, 585, 1279, 3856, 1967, 269, 0, 5804, 20283, 532, 547, 19663, 5253, 4147, 476, 277, 5999, 543, 12226, 3038, 3660, 2337, 596, 547, 2626, 1950, 5999, 1932, 3362, 269, 1411, 666, 946, 873, 1247, 8600, 585, 4604, 11400, 543, 782, 540, 873, 616, 2016, 676, 1641, 4966, 269, 7335, 19436, 10298, 585, 4147, 476, 277, 4317, 3163, 3778, 3848, 476, 274, 3245, 20283, 532, 547, 19663, 5253, 5432, 3278, 596, 609, 519, 2186, 540, 2055, 17729, 538, 519, 4604, 11400, 269, 4841, 616, 15695, 547, 1224, 891, 3435, 593, 513, 2834, 4493, 547, 6060, 1134, 563, 5804, 20283, 532, 547, 19663, 5253, 4147, 476, 277, 5999, 543, 12226, 3778, 3848, 476, 274, 454, 13014, 707, 1565, 1995, 11791, 676, 8600, 689, 519, 2656, 6402, 2139, 593, 713, 2985, 269, 2422, 519, 4147, 476, 277, 590, 4306, 3778, 3848, 476, 274, 19436, 10298, 543, 1205, 547, 917, 1114, 2035, 3238, 269, 2353, 519, 10298, 616, 4988, 607, 829, 519, 5767, 21038, 4808, 269, 18833, 519, 19436, 4147, 476, 277, 3778, 3848, 476, 274, 5999, 543, 12226, 2337, 1053, 547, 3801, 519, 981, 609, 6015, 563, 12218, 476, 277, 3778, 3848, 476, 274, 19436, 30930, 5999, 543, 12226, 454, 3963, 798, 1004, 945, 1332, 7031, 723, 547, 3251, 538, 519, 1482, 1747, 585, 513, 1279, 942, 888, 24836, 706, 958, 267, 1004, 3323, 547, 1332, 519, 7031, 269, 2368, 540, 519, 7031, 18009, 2989, 538, 513, 3923, 267, 930, 538, 1082, 3275, 6466, 930, 538, 606, 1032, 269, 1280, 519, 1732, 7031, 267, 1004, 5433, 602, 789, 1058, 581, 6870, 689, 5017, 267, 3662, 3092, 1421, 865, 602, 789, 1223, 1332, 543, 18009, 523, 519, 7693, 9108, 269, 31598, 267, 585, 713, 3483, 1004, 1185, 547, 3251, 693, 519, 1482, 1747, 585, 513, 1279, 942, 563, 16100, 693, 519, 3349, 593, 2985, 476, 1839, 269, 1403, 3026, 514, 340, 334, 4941, 547, 3548, 7573, 267, 799, 616, 519, 4025, 1352, 1058, 723, 10272, 888, 10743, 1294, 519, 3349, 2016, 693, 2985, 1100, 269, 476, 1839, 540, 30930, 269, 1306, 5018, 538, 519, 3349, 267, 7573, 568, 5018, 693, 1079, 4609, 269, 5637, 891, 4609, 616, 27057, 13883, 538, 31579, 541, 21423, 267, 891, 4025, 616, 912, 2005, 568, 1271, 547, 4063, 602, 519, 2016, 1592, 568, 1175, 3879, 13577, 267, 711, 29882, 543, 3976, 972, 1522, 723, 1044, 824, 4025, 849, 269, 1809, 593, 519, 4493, 540, 1459, 3349, 267, 649, 666, 2161, 602, 1352, 1058, 723, 10272, 918, 1245, 8811, 11445, 543, 10067, 698, 4673, 563, 3963, 798, 24085, 1589, 602, 1082, 1004, 945, 5030, 538, 2725, 15590, 3258, 327, 941, 21962, 547, 1376, 609, 543, 602, 1200, 3429, 2968, 811, 1271, 2663, 888, 9288, 15590, 3258, 327, 267, 799, 568, 27057, 13883, 538, 9031, 267, 568, 1360, 1271, 3135, 585, 519, 24085, 1317, 693, 713, 1747, 789, 1336, 3788, 540, 3662, 7633, 693, 1142, 1377, 15828, 9707, 540, 3618, 269, 4438, 26995, 267, 7633, 540, 3552, 2831, 971, 607, 519, 13650, 543, 6477, 723, 1044, 1336, 689, 519, 9998, 1377, 563, 1103, 519, 2663, 1377, 267, 789, 1336, 3788, 540, 13265, 543, 23820, 269, 1656, 1869, 519, 2663, 1377, 4951, 3788, 540, 12418, 1336, 676, 519, 16329, 5505, 269, 4935, 267, 649, 616, 11287, 602, 2094, 519, 4098, 267, 24085, 723, 1336, 3788, 540, 2831, 799, 6829, 602, 519, 1004, 540, 2725, 15590, 3258, 327, 941, 21962, 547, 1376, 609, 543, 602, 1200, 3429, 2968, 811, 1271, 2663, 563, 13750, 2436, 3020, 610, 7301, 912, 5416, 264, 631, 4068, 1206, 723, 1044, 1336, 693, 8065, 584, 563, 6357, 264, 4658, 538, 8738, 345, 1695, 558, 5030, 538, 14328, 8075, 563, 6262, 264, 932, 4275, 526, 568, 513, 3135, 538, 22758, 563, 5560, 264, 808, 1228, 924, 267, 1336, 538, 667, 7776, 329, 8932, 670, 8172, 267, 1082, 723, 1044, 4547, 689, 3624, 563, 8266, 1614, 2081, 538, 799, 519, 2729, 540, 6705, 543, 1200, 10249, 1131, 723, 1044, 1114, 689, 602, 540, 25433, 3766, 520, 1877, 3464, 563, 299, 1161, 540, 6705, 543, 1200, 10249, 1131, 723, 1044, 1114, 689, 602, 540, 25433, 3766, 520, 1877, 3464, 538, 519, 1739, 2081, 912, 268, 28865, 3766, 520, 1877, 3464, 941, 1426, 575, 520, 1877, 3464, 6466, 6705, 543, 1200, 10249, 941, 12696, 563, 268, 28865, 3766, 520, 1877, 3464, 941, 711, 556, 2130, 519, 2831, 6466, 6705, 543, 1200, 10249, 941, 556, 2130, 519, 2831, 563, 268, 28865, 3766, 520, 1877, 3464, 1705, 711, 946, 25509, 2645, 6466, 6705, 543, 1200, 10249, 1031, 25509, 543, 8325, 2645, 2059, 5976, 6180, 1513, 543, 11641, 956, 1031, 585, 8860, 10286, 543, 824, 7472, 563, 268, 28865, 3766, 520, 1877, 3464, 1705, 711, 946, 11273, 1426, 6466, 6705, 543, 1200, 10249, 1031, 11273, 1426, 563, 13014, 513, 1592, 540, 782, 519, 2831, 5018, 538, 519, 3349, 630, 2457, 476, 1839, 1040, 1280, 1142, 835, 267, 4766, 1018, 789, 949, 723, 1044, 1031, 585, 563, 10743, 5402, 1294, 519, 3349, 2016, 593, 30930, 693, 2985, 1100, 269, 476, 1839, 269, 1284, 1336, 602, 13265, 267, 23820, 267, 2915, 267, 10889, 14900, 267, 3404, 543, 6477, 723, 1044, 5018, 538, 519, 3349, 269, 1452, 2831, 1522, 723, 1044, 1031, 585, 912, 268, 2701, 788, 281, 585, 5779, 267, 5144, 543, 15144, 563, 268, 3619, 520, 281, 585, 5779, 543, 5144, 563, 268, 13928, 281, 1031, 585, 10122, 543, 8384, 563, 268, 30159, 281, 585, 5373, 7047, 267, 5144, 543, 5779, 563, 268, 7621, 281, 585, 5373, 7047, 267, 669, 926, 582, 543, 726, 965, 532, 563, 8266, 519, 24799, 602, 596, 3548, 563, 11243, 540, 519, 24799, 799, 649, 3548, 616, 912, 268, 4563, 543, 3043, 6121, 454, 2710, 596, 1332, 519, 24799, 596, 723, 7396, 538, 2626, 1100, 269, 476, 278, 286, 1403, 9811, 267, 2721, 513, 5750, 547, 1397, 519, 5933, 538, 3395, 873, 269, 1403, 711, 267, 2721, 513, 5750, 547, 1397, 875, 891, 24799, 3914, 596, 689, 519, 6705, 945, 1332, 873, 563, 8133, 267, 649, 666, 1332, 519, 24799, 538, 519, 2361, 540, 513, 8498, 269, 19663, 5933, 666, 581, 6537, 607, 5205, 912, 22428, 267, 649, 2661, 538, 513, 2462, 2749, 899, 16156, 269, 1284, 798, 711, 723, 4610, 585, 3395, 519, 9274, 269, 1284, 786, 1491, 713, 689, 938, 14282, 6300, 24010, 269, 1677, 3489, 519, 24799, 267, 519, 5832, 1062, 949, 581, 607, 5205, 912, 28775, 519, 1239, 3838, 1657, 3823, 519, 19436, 4147, 476, 277, 4317, 3163, 3778, 3848, 476, 274, 3245, 20283, 532, 547, 19663, 5253, 7300, 814, 29211, 538, 707, 981, 7041, 269, 1403, 596, 2479, 991, 1022, 6351, 596, 666, 2141, 3914, 721, 543, 938, 2319, 786, 3391, 596, 693, 519, 4166, 652, 7872, 269, 0, 3963, 568, 621, 1572, 13212, 879, 576, 888, 8368, 540, 12937, 454, 268, 476, 272, 4208, 568, 621, 1572, 13212, 879, 576, 888, 268, 476, 273, 4208, 568, 13212, 879, 576, 3983, 585, 596, 888, 268, 476, 274, 2052, 596, 3548, 1932, 1454, 13212, 879, 576, 888, 268, 476, 275, 1772, 13212, 879, 576, 513, 5277, 610, 513, 4396, 888, 268, 476, 276, 1548, 568, 519, 1072, 5006, 13212, 879, 576, 888, 268, 476, 277, 2052, 5243, 3548, 13212, 879, 576, 888, 268, 476, 278, 1548, 533, 8986, 616, 2699, 888, 268, 476, 279, 1684, 13212, 1118, 596, 31997, 888, 268, 476, 280, 2052, 594, 946, 824, 5613, 3079, 540, 13212, 879, 576, 538, 513, 11600, 888, 268, 476, 1015, 1215, 547, 3434, 13212, 879, 576, 888, 268, 476, 1556, 1548, 616, 519, 1072, 2640, 540, 4189, 13212, 879, 576, 888, 3963, 568, 621, 1572, 13212, 879, 576, 888, 7212, 13212, 879, 576, 568, 1767, 547, 723, 12090, 538, 519, 4571, 268, 10204, 271, 338, 267, 519, 2259, 540, 8600, 27156, 609, 13212, 7389, 1394, 547, 10120, 2053, 538, 2342, 269, 13405, 547, 12104, 3130, 267, 13212, 879, 576, 729, 606, 20522, 543, 10375, 1259, 547, 8190, 13212, 585, 1896, 3275, 693, 513, 942, 563, 3963, 568, 13212, 879, 576, 3983, 585, 596, 888, 7343, 956, 879, 576, 568, 513, 1970, 19339, 2707, 540, 8324, 267, 543, 666, 4196, 607, 513, 6653, 267, 14312, 15165, 1063, 6980, 269, 2755, 13212, 879, 576, 267, 543, 13212, 538, 2489, 267, 616, 1164, 538, 4006, 267, 891, 14836, 2049, 6923, 538, 519, 4829, 269, 21690, 2989, 8677, 2270, 3773, 14836, 267, 3335, 538, 519, 1106, 540, 1164, 535, 28229, 8970, 21360, 610, 8970, 21360, 563, 3674, 13212, 879, 576, 1500, 689, 533, 8986, 888, 295, 558, 17360, 13428, 28397, 576, 568, 2147, 547, 13212, 879, 576, 267, 855, 1500, 609, 4195, 533, 8986, 267, 24036, 267, 20909, 267, 543, 29877, 269, 2659, 2777, 786, 9329, 5863, 1247, 713, 2241, 13428, 28397, 576, 568, 31652, 532, 593, 519, 23041, 256, 594, 849, 1500, 513, 16801, 540, 19471, 13428, 28397, 576, 269, 6693, 4692, 596, 3548, 1932, 1454, 13212, 879, 576, 888, 2108, 28848, 13212, 538, 4430, 786, 711, 2014, 1082, 2427, 2360, 2223, 4469, 2803, 1767, 269, 968, 3719, 607, 609, 4376, 13881, 538, 4430, 267, 13212, 949, 3565, 547, 2597, 2744, 1848, 5015, 267, 13212, 616, 15755, 267, 543, 519, 10433, 949, 3441, 5694, 19596, 563, 3674, 13212, 879, 576, 513, 5277, 610, 513, 4396, 888, 7343, 548, 14036, 568, 513, 5277, 1317, 621, 568, 13212, 602, 723, 1044, 6986, 539, 563, 1432, 2197, 11827, 13212, 879, 576, 888, 763, 5169, 540, 13212, 879, 576, 568, 1419, 2404, 609, 6239, 2342, 267, 855, 519, 1101, 2854, 2446, 568, 1336, 538, 606, 2296, 3434, 1504, 7388, 520, 5600, 342, 1057, 267, 2854, 676, 4432, 21289, 8055, 538, 476, 15876, 280, 269, 634, 14036, 568, 849, 4122, 5423, 538, 519, 2136, 2276, 563, 1432, 568, 519, 1072, 5006, 13212, 879, 576, 888, 763, 4033, 2561, 956, 879, 806, 1284, 570, 16556, 454, 268, 3619, 3619, 8293, 2465, 345, 17667, 11197, 11197, 2561, 956, 879, 576, 563, 268, 8187, 28610, 17667, 24296, 11548, 2989, 2561, 956, 879, 576, 563, 268, 28202, 633, 17667, 22731, 11197, 28397, 576, 563, 268, 476, 18458, 28064, 10025, 17667, 24296, 11548, 2989, 11197, 28397, 576, 563, 268, 28599, 717, 3497, 7849, 24296, 11548, 2989, 22810, 2561, 956, 879, 576, 563, 268, 13244, 30434, 17667, 11197, 28397, 576, 563, 268, 7354, 29132, 24296, 11548, 2989, 11197, 28397, 576, 563, 4692, 5243, 3548, 13212, 879, 576, 888, 4692, 17268, 16202, 2561, 956, 879, 576, 286, 8786, 267, 5243, 666, 9108, 3548, 10750, 13212, 879, 576, 256, 1809, 13212, 879, 576, 3622, 2882, 3773, 14836, 267, 865, 2141, 3442, 5667, 11548, 2989, 13212, 879, 576, 543, 2285, 621, 547, 873, 538, 20208, 563, 4692, 533, 8986, 581, 2655, 21114, 585, 13212, 888, 2691, 596, 2461, 4189, 4195, 4829, 267, 1175, 827, 1022, 4829, 666, 581, 2655, 21114, 585, 13212, 269, 623, 8986, 543, 890, 2851, 666, 581, 2655, 21114, 585, 13212, 538, 930, 11273, 10346, 269, 3281, 4925, 267, 1093, 3737, 4829, 267, 3443, 31817, 267, 543, 4829, 533, 625, 666, 946, 533, 8986, 267, 890, 2851, 267, 543, 13212, 30430, 563, 1432, 533, 8986, 616, 2699, 888, 16446, 623, 8986, 281, 1703, 616, 1614, 15090, 8677, 602, 1118, 909, 713, 1895, 267, 1519, 281, 853, 1046, 3234, 5459, 267, 4414, 19258, 27451, 267, 543, 4414, 546, 685, 2304, 329, 537 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 568, 711, 835, 3562, 14633, 267, 1317, 1547, 898, 568, 849, 711, 5196, 267, 1317, 972, 1281, 711, 2291, 971, 602, 16317, 4002, 519, 824, 1688, 1599, 2073, 568, 835, 3562, 835, 267, 1317, 952, 2073, 1287, 1547, 898, 568, 711, 5196, 267, 1317, 972, 1281, 711, 2291, 971, 602, 16317, 31262, 2073, 568, 711, 835, 3562, 14633, 267, 1317, 1547, 898, 568, 5196, 267, 2094, 585, 1022, 2073, 649, 723, 16317, 31262, 2073, 568, 835, 3562, 14633, 267, 536, 659, 1021, 952, 2073, 1287, 2073, 865, 1547, 898, 568, 849, 5196, 267, 1317, 585, 1022, 649, 723, 1547, 4475, 568, 513, 1979, 20287, 780, 2162, 681, 27654, 1599, 692, 2252, 513, 1599, 568, 513, 1979, 20287, 267, 1287, 922, 9258, 6935, 568, 849, 513, 1599, 267, 1572, 519, 9258, 1599, 1547, 1284, 666, 849, 2015, 519, 9258, 1599, 585, 513, 1599, 267, 855, 621, 786, 581, 3989, 593, 922, 3239, 1152, 780, 31262, 568, 519, 9258, 1599, 540, 2073, 952, 543, 1152, 952, 543, 1547, 898, 568, 952, 585, 782, 2073, 543, 585, 782, 2073, 16317, 292, 3052, 12727, 1577, 2073, 1547, 3973, 2073, 1141, 2073, 1547, 0, 258, 476, 25546, 28526, 630, 15893, 2020, 25546, 267, 28526, 630, 18314, 4627, 562, 31106, 8536, 2185, 4627, 15823, 31644, 264, 568, 606, 9642, 3670, 1673, 580, 1080, 12432, 1297, 1739, 476, 25546, 3393, 273, 543, 18631, 476, 25546, 3393, 275, 269, 769, 3621, 10035, 267, 621, 568, 2854, 607, 476, 273, 269, 3707, 7871, 6398, 476, 10755, 269, 634, 2040, 540, 922, 9704, 568, 476, 2190, 269, 898, 814, 513, 2698, 540, 476, 275, 6305, 2188, 543, 476, 1626, 2318, 16975, 269, 1703, 616, 476, 14695, 267, 24798, 2318, 9981, 630, 1575, 547, 476, 25546, 28526, 264, 602, 616, 5266, 6305, 547, 476, 25546, 28526, 780, 1012, 9978, 3601, 692, 1892, 1772, 11788, 286, 3143, 454, 1892, 7089, 26027, 744, 9536, 454, 1892, 7089, 3259, 476, 277, 454, 1892, 5681, 540, 6226, 1080, 476, 2190, 454, 1892, 7913, 17848, 476, 277, 692, 1012, 8745, 692, 14112, 2012, 476, 25546, 8536, 476, 28526, 1079, 4627, 562, 31106, 8536, 2185, 4627, 15823, 31644, 692, 1012, 3502, 566, 692, 26199, 10035, 476, 273, 269, 3707, 7871, 6398, 476, 10755, 476, 25546, 269, 28526, 6398, 476, 9818, 692, 1012, 11788, 16748, 1436, 540, 476, 25546, 28526, 692, 28269, 16748, 1436, 476, 274, 6398, 476, 1724, 6398, 476, 1704, 6398, 476, 28664, 692, 4467, 22683, 1297, 454, 18850, 3307, 11790, 11192, 11790, 7101, 673, 28911, 3799, 264, 476, 275, 11192, 1297, 540, 3982, 6305, 2188, 3852, 358, 3799, 264, 476, 275, 11192, 1297, 540, 6305, 2188, 2234, 3799, 264, 476, 25546, 28526, 8605, 540, 519, 3982, 6305, 2338, 18494, 3799, 264, 476, 272, 16849, 519, 26027, 540, 3852, 358, 3799, 1070, 971, 602, 18494, 3799, 264, 815, 11196, 272, 264, 394, 358, 3799, 264, 13179, 3799, 264, 476, 272, 16849, 281, 476, 272, 267, 952, 562, 814, 606, 1256, 1297, 540, 6305, 2188, 630, 663, 568, 4009, 1863, 264, 6567, 272, 267, 952, 562, 814, 606, 9642, 1297, 540, 6305, 2188, 630, 663, 568, 4009, 1863, 264, 476, 271, 267, 952, 562, 814, 513, 16302, 6305, 3815, 3852, 505, 3799, 264, 476, 271, 16849, 2845, 9638, 264, 952, 562, 568, 513, 1379, 533, 330, 540, 1022, 6305, 533, 630, 1721, 1022, 737, 13843, 476, 272, 1070, 3116, 7024, 476, 271, 692, 763, 6305, 26458, 540, 476, 25546, 267, 28526, 568, 476, 274, 6398, 476, 1724, 6398, 476, 1704, 6398, 476, 28664, 269, 4595, 621, 814, 513, 2698, 540, 476, 275, 6305, 2188, 267, 476, 25546, 267, 28526, 568, 513, 12432, 1297, 780, 1012, 6555, 30583, 540, 476, 25546, 28526, 692, 1626, 16975, 692, 4634, 16975, 476, 271, 476, 1626, 476, 279, 476, 279, 454, 13707, 6555, 30583, 5681, 540, 6555, 30583, 1325, 1172, 582, 5681, 26018, 3799, 264, 476, 1626, 11192, 1297, 540, 519, 2318, 16975, 540, 562, 21566, 3799, 264, 476, 31172, 4792, 277, 5681, 540, 782, 519, 2318, 16975, 540, 562, 521, 3799, 264, 476, 12893, 10711, 5681, 540, 519, 1697, 2318, 16975, 540, 562, 589, 3799, 264, 476, 20385, 1626, 16849, 519, 2040, 540, 16975, 630, 17385, 3799, 4297, 5258, 676, 519, 2698, 1297, 540, 16975, 630, 16483, 3799, 4297, 717, 3799, 264, 476, 5379, 279, 269, 3393, 279, 16849, 519, 32671, 3597, 540, 519, 1587, 540, 562, 16975, 670, 3799, 264, 476, 1015, 269, 5392, 273, 272, 16849, 519, 2698, 1297, 540, 16975, 630, 16483, 3799, 4297, 5258, 676, 519, 2040, 540, 519, 23483, 540, 1142, 16975, 692, 763, 1297, 476, 25546, 267, 28526, 666, 581, 5258, 676, 476, 1626, 2318, 16975, 630, 719, 540, 799, 476, 271, 616, 1256, 267, 543, 476, 1626, 616, 9642, 1040, 634, 2040, 540, 891, 16975, 630, 12248, 532, 476, 25546, 267, 28526, 264, 568, 476, 31172, 267, 4792, 277, 267, 519, 3328, 568, 476, 736, 267, 280, 1626, 780, 1012, 4033, 25226, 12793, 630, 333, 815, 476, 25546, 28526, 2020, 272, 26420, 3799, 264, 562, 454, 292, 17526, 570, 582, 1304, 25844, 19376, 700, 10033, 11788, 13100, 26420, 3799, 264, 476, 14695, 24798, 11192, 1297, 540, 2318, 9981, 711, 3152, 982, 562, 602, 616, 2941, 31870, 547, 562, 18494, 3799, 264, 476, 25784, 271, 9540, 652, 2318, 1297, 971, 602, 513, 16575, 3799, 264, 9881, 350, 476, 272, 630, 7116, 562, 264, 585, 782, 513, 2941, 31870, 547, 562, 12631, 3799, 264, 9881, 486, 476, 4198, 1240, 11192, 1297, 540, 22136, 1447, 982, 610, 3160, 547, 562, 678, 273, 3799, 264, 476, 271, 634, 1297, 540, 2081, 562, 666, 581, 6719, 607, 519, 2040, 540, 476, 273, 10945, 692, 2467, 616, 476, 14695, 267, 24798, 2318, 9981, 630, 1652, 982, 476, 25546, 267, 28526, 264, 602, 616, 2941, 31870, 609, 476, 25546, 267, 28526, 269, 1656, 972, 616, 5111, 476, 866, 267, 276, 1240, 6305, 2338, 1447, 982, 610, 3160, 547, 476, 25546, 267, 28526, 780, 1012, 6555, 529, 2225, 540, 476, 25546, 28526, 692, 544, 562, 1110, 544, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 278, 476, 279, 476, 280, 476, 272, 476, 271, 476, 272, 476, 274, 476, 274, 476, 274, 476, 276, 476, 277, 692, 763, 1297, 476, 25546, 267, 28526, 568, 16883, 676, 476, 274, 780, 1012, 19032, 540, 476, 25546, 28526, 692, 1892, 25226, 454, 1892, 4347, 17087, 692, 1892, 2717, 924, 692, 1892, 21121, 692, 1892, 12384, 5131, 692, 2162, 4033, 2338, 692, 1892, 12359, 553, 290, 1301, 19376, 692, 1012, 12476, 7503, 630, 25546, 28526, 2020, 26015, 3590, 10025, 454, 273, 23030, 476, 8099, 6200, 1911, 1911, 9340, 6200, 454, 274, 570, 1716, 776, 476, 9083, 18733, 1822, 13136, 454, 275, 2372, 15715, 776, 476, 25313, 13975, 28664, 454, 276, 2372, 2435, 476, 13301, 9818, 6734, 454, 277, 7354, 776, 476, 4510, 272, 14028, 274, 454, 279, 4239, 531, 476, 4792, 275, 275, 4037, 454, 1015, 27252, 476, 25546, 28526, 454, 1321, 13660, 1712, 31565, 513, 277, 6277, 280, 454, 736, 966, 580, 525, 2711, 476, 9965, 7251, 454, 3607, 12476, 3607, 476, 275, 335, 321, 343, 692, 1012, 9978, 9273, 630, 333, 815, 476, 25546, 28526, 2020, 2162, 18527, 692, 333, 9943, 344, 454, 562, 9943, 273, 476, 275, 4343, 3445, 277, 476, 4792, 279, 3374, 280, 476, 279, 6507, 279, 1321, 476, 11820, 278, 2918, 276, 692, 2162, 10406, 692, 333, 383, 371, 344, 454, 562, 383, 371, 273, 476, 11820, 278, 2918, 476, 278, 4029, 7906, 476, 276, 4366, 8287, 269, 273, 476, 275, 4343, 3445, 269, 277, 692, 2162, 5890, 9426, 2747, 692, 5500, 454, 562, 273, 476, 4366, 272, 6795, 277, 4572, 6021, 476, 10755, 6924, 278, 278, 3066, 16318, 278, 2918, 6507, 476, 23211, 280, 4097, 8660, 273, 20720, 276, 6434, 9965, 6321, 279, 272, 476, 2004, 279, 280, 6434, 5881, 280, 4962, 278, 278, 4792, 23283, 276, 1724, 32180, 5392, 274, 692, 2162, 715, 628, 17848, 692, 344, 18414, 333, 454, 476, 273, 18414, 333, 476, 5379, 279, 269, 3393, 279, 476, 2568, 269, 28760, 476, 2641, 269, 5038, 274, 280, 476, 1556, 269, 3583, 273, 273, 692, 1012, 476, 25546, 28526, 607, 12166, 5546, 692, 2162, 17781, 692, 18924, 2678, 476, 275, 4343, 3445, 277, 476, 272, 269, 274, 4281, 10436, 324, 266, 6187, 476, 272, 269, 24423, 7176, 324, 266, 1556, 692, 2162, 1975, 1877, 692, 11730, 476, 275, 269, 275, 2767, 6860, 324, 266, 1626, 476, 277, 269, 4962, 272, 10844, 324, 266, 1556, 476, 272, 269, 274, 4281, 10436, 324, 266, 6187, 692, 2162, 12384, 692, 21920, 815, 562, 454, 32309, 476, 279, 6507, 279, 1321, 476, 275, 269, 279, 1428, 9834, 324, 266, 1015, 476, 20542, 31874, 692, 2162, 28116, 692, 21920, 815, 562, 454, 17183, 1858, 476, 273, 269, 6434, 280, 6812, 324, 266, 1556, 476, 272, 269, 4962, 277, 6434, 324, 266, 1626, 476, 23884, 10441, 692, 2162, 4982, 10561, 21121, 692, 21920, 815, 562, 454, 32309, 476, 4792, 279, 3374, 280, 476, 273, 269, 5400, 276, 4391, 324, 266, 1015, 476, 5002, 32180, 692, 2162, 10222, 9771, 30958, 692, 21920, 815, 562, 454, 17183, 1858, 476, 279, 269, 30130, 5392, 324, 266, 1015, 476, 272, 269, 25090, 7918, 324, 266, 1428, 476, 9692, 8146, 692, 1012, 15303, 4919, 25300, 12793, 692, 30113, 276, 552, 6507, 273, 6924, 273, 324, 1815, 278, 611, 272, 320, 276, 324, 278, 324, 5655, 322, 278, 320, 275, 539, 10619, 325, 5379, 476, 5400, 322, 279, 3953, 27888, 325, 2764, 742, 274, 320, 279, 322, 14681, 323, 279, 323, 5400, 321, 279, 321, 742, 3374, 2465, 742, 320, 6924, 476, 6812, 278, 1030, 9536, 279, 325, 321, 4037, 274, 321, 275, 2537, 278, 323, 274, 323, 1724, 322, 4335, 279, 322, 3393, 2465, 6078, 6767, 6021, 275, 323, 8660, 272, 324, 273, 2465, 273, 325, 323, 24487, 4206, 275, 322, 280, 325, 13975, 280, 524, 274, 321, 274, 323, 4391, 2465, 5392, 320, 6321, 273, 276, 323, 278, 3451, 5780, 320, 5379, 272, 324, 10019, 323, 27543, 325, 276, 6434, 276, 742, 10623, 274, 325, 274, 322, 276, 321, 3199, 277, 272, 322, 6767, 277, 321, 278, 5655, 325, 6642, 323, 3607, 278, 324, 273, 1372, 280, 8619, 4097, 629, 279, 12711, 4029, 321, 275, 866, 25900, 321, 9032, 272, 280, 321, 271, 2767, 1240, 325, 15433, 5780, 321, 277, 3445, 6507, 275, 323, 273, 23331, 29300, 274, 325, 321, 13975, 476, 3066, 742, 325, 279, 1626, 276, 576, 324, 279, 321, 277, 3607, 6858, 274, 2004, 273, 323, 8578, 321, 1839, 321, 271, 324, 3583, 272, 4281, 280, 7830, 0, 258, 6904, 540, 519, 1739, 568, 519, 10545, 6824, 2496, 7617, 540, 519, 1739, 568, 519, 10545, 6824, 888, 259, 17218, 343, 1422, 2765, 346, 279, 2410, 1839, 9574, 1422, 2765, 346, 278, 2410, 2537, 9574, 1422, 2765, 346, 1556, 2410, 2537, 9574, 1422, 2765, 346, 1691, 2410, 7871, 31905, 338, 284, 272, 14204, 314, 288, 316, 259, 17218, 343, 1422, 2765, 346, 1556, 2410, 2537, 31905, 338, 284, 272, 14204, 314, 289, 316, 259, 17218, 343, 1422, 2765, 346, 1691, 2410, 7871, 31905, 338, 284, 272, 14204, 314, 290, 316, 259, 17218, 343, 1422, 2765, 346, 279, 2410, 1839, 31905, 338, 284, 272, 14204, 314, 291, 316, 259, 17218, 343, 1422, 2765, 346, 278, 2410, 2537, 31905, 338, 284, 272, 6911, 259, 17218, 343, 1422, 10400, 3189, 2765, 346, 1691, 2410, 7871, 3686, 261, 338, 284, 272, 14204, 259, 17218, 343, 1422, 2765, 346, 279, 2410, 1839, 348, 815, 476, 271, 269, 3953, 267, 1422, 2765, 346, 278, 2410, 2537, 348, 815, 476, 271, 269, 1789, 261, 338, 284, 272, 14204, 259, 17218, 343, 1422, 2765, 346, 1556, 2410, 2537, 348, 815, 476, 271, 269, 5325, 267, 1422, 2765, 346, 1691, 2410, 7871, 348, 815, 476, 271, 269, 2918, 261, 338, 284, 272, 14204, 259, 17218, 343, 1422, 11004, 1150, 1422, 2765, 346, 1691, 2410, 7871, 31905, 338, 284, 272, 259, 568, 519, 10545, 6824, 563, 17798, 4781, 1496, 289, 316, 568, 519, 2953, 2626, 269, 0, 258, 10414, 543, 18289, 4530, 5623, 910, 17948, 623, 8976, 19809, 692, 272, 1315, 476, 1789, 692, 2690, 576, 543, 18289, 4530, 5623, 269, 476, 272, 269, 1548, 568, 513, 3196, 286, 589, 32379, 610, 513, 29553, 269, 476, 273, 269, 1548, 568, 519, 3017, 1063, 7059, 4229, 543, 796, 29446, 4229, 2496, 296, 993, 519, 8227, 267, 610, 606, 8665, 17101, 547, 957, 593, 15773, 540, 519, 8227, 267, 540, 519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1652, 13678, 1422, 347, 325, 315, 347, 3709, 299, 317, 335, 7268, 13992, 23334, 11892, 323, 264, 4151, 602, 649, 666, 8831, 20270, 305, 4151, 547, 606, 11346, 936, 519, 2898, 540, 1269, 299, 317, 335, 7268, 13992, 23334, 11892, 323, 29408, 676, 5860, 540, 519, 5576, 23702, 345, 3252, 269, 1717, 267, 621, 568, 1100, 3476, 2312, 1018, 519, 2078, 568, 1063, 713, 1007, 11346, 602, 814, 1044, 11346, 7308, 648, 21154, 6905, 543, 519, 3312, 11346, 602, 1185, 513, 2312, 1448, 3772, 4214, 269, 769, 1880, 267, 513, 1875, 2389, 337, 20190, 2243, 547, 2307, 568, 2436, 585, 1269, 323, 315, 18406, 27572, 320, 4318, 269, 1448, 4399, 3495, 1422, 514, 1422, 306, 7950, 259, 649, 723, 692, 7445, 6234, 1422, 3916, 3709, 337, 1422, 1729, 476, 271, 348, 1422, 2765, 346, 272, 2410, 347, 289, 263, 271, 267, 337, 31206, 348, 1422, 842, 18155, 9508, 1422, 514, 645, 263, 271, 267, 337, 14587, 1923, 315, 4204, 1002, 346, 325, 32710, 3495, 910, 1422, 9508, 31206, 546, 315, 9508, 815, 1422, 4204, 1002, 346, 325, 32710, 3495, 1070, 1422, 1422, 1422, 1422, 1422, 630, 272, 22491, 3602, 1269, 289, 263, 271, 267, 337, 7751, 568, 519, 3440, 540, 8953, 20270, 337, 4151, 543, 4099, 20270, 271, 23201, 27297, 602, 519, 2274, 15816, 326, 826, 15285, 11532, 2907, 6645, 721, 602, 585, 513, 4318, 269, 3693, 540, 4399, 13992, 23334, 11892, 323, 259, 538, 519, 2274, 15816, 326, 826, 2631, 519, 1657, 6585, 282, 855, 519, 1016, 2006, 604, 1245, 4399, 306, 7950, 259, 814, 2274, 15816, 326, 826, 2268, 4642, 267, 543, 4061, 519, 15285, 11532, 3112, 2285, 721, 1022, 1344, 269, 769, 713, 2631, 267, 519, 2243, 1657, 568, 827, 519, 2497, 540, 519, 1305, 540, 519, 2274, 15816, 326, 826, 2798, 540, 4399, 4204, 1002, 346, 325, 4151, 543, 666, 581, 6963, 4327, 607, 1384, 304, 281, 666, 519, 9148, 540, 519, 1305, 540, 2274, 15816, 326, 826, 2798, 540, 4399, 4204, 1002, 346, 325, 4151, 2270, 513, 5299, 540, 519, 32032, 4399, 306, 7950, 259, 2496, 258, 9978, 9741, 6229, 6261, 1446, 344, 3069, 8633, 281, 1109, 1952, 997, 725, 692, 1607, 568, 519, 2063, 851, 540, 513, 476, 274, 851, 3126, 593, 519, 9238, 540, 9741, 6229, 6261, 1446, 344, 3069, 269, 4653, 649, 1865, 513, 7008, 540, 3156, 267, 602, 568, 16205, 1074, 1171, 545, 345, 12750, 1512, 11532, 543, 519, 22112, 1145, 540, 519, 20085, 31062, 1599, 630, 1492, 8545, 1373, 606, 3498, 540, 4908, 10920, 21752, 538, 2489, 267, 543, 711, 865, 1454, 540, 4009, 3252, 1107, 1498, 835, 5526, 267, 855, 1152, 585, 1269, 299, 317, 273, 259, 9193, 1141, 835, 1281, 711, 991, 519, 30483, 540, 9741, 6229, 6261, 1446, 344, 3069, 1916, 8512, 594, 281, 4908, 20327, 454, 8512, 4083, 281, 4009, 3252, 692, 278, 269, 10241, 540, 9741, 6229, 6261, 1446, 344, 3069, 692, 1103, 713, 3296, 649, 786, 1459, 1079, 3156, 540, 519, 9741, 6229, 6261, 1446, 344, 3069, 2919, 865, 2484, 269, 1411, 666, 1265, 2417, 3156, 538, 519, 5751, 630, 5408, 3226, 11644, 476, 2420, 543, 11644, 476, 2537, 6393, 278, 269, 272, 269, 16205, 1074, 1171, 545, 345, 12750, 4536, 692, 11693, 606, 20270, 299, 23373, 13727, 22570, 13992, 23334, 11892, 323, 264, 4151, 1599, 20270, 332, 20954, 835, 666, 5581, 519, 11346, 20270, 307, 8548, 4151, 2016, 676, 692, 7445, 6234, 1422, 4204, 1002, 346, 307, 8548, 535, 32710, 3495, 264, 28701, 544, 7268, 3495, 264, 1422, 4204, 1002, 346, 325, 32710, 3495, 22491, 1721, 782, 20270, 325, 1422, 514, 700, 317, 273, 7268, 13992, 23334, 11892, 323, 264, 23201, 634, 11346, 20270, 307, 8548, 4151, 568, 1572, 513, 12750, 1512, 543, 519, 1599, 20270, 332, 4151, 568, 1572, 519, 3090, 540, 519, 12750, 1512, 272, 269, 4595, 20270, 332, 1422, 514, 700, 23373, 13727, 20954, 1773, 4545, 1877, 331, 779, 11532, 2982, 602, 20270, 307, 8548, 4151, 568, 513, 5276, 11346, 22112, 538, 20270, 299, 317, 273, 4151, 282, 922, 4214, 666, 1287, 581, 6905, 547, 20270, 299, 317, 273, 1422, 5115, 700, 317, 335, 4151, 3252, 630, 6518, 616, 10053, 538, 20270, 299, 317, 335, 4151, 1040, 589, 2067, 2243, 547, 2307, 568, 281, 585, 799, 2418, 540, 20270, 335, 4151, 538, 20270, 272, 1422, 19008, 533, 1422, 19008, 1422, 13727, 4151, 568, 519, 11346, 20270, 307, 8548, 4151, 606, 20270, 299, 317, 335, 1422, 21375, 700, 317, 335, 4151, 22112, 11346, 286, 1879, 20270, 307, 8548, 4151, 568, 22112, 538, 513, 1978, 20270, 299, 317, 335, 4151, 2230, 267, 649, 2161, 602, 621, 568, 606, 20270, 299, 317, 335, 4151, 20123, 328, 680, 1512, 780, 763, 11346, 20270, 307, 8548, 4151, 5189, 538, 8791, 476, 272, 540, 519, 1101, 2022, 538, 713, 3126, 568, 606, 1383, 540, 513, 12750, 1512, 267, 609, 3090, 20270, 332, 7268, 3495, 12101, 339, 879, 264, 815, 1422, 339, 879, 1315, 22570, 339, 879, 910, 476, 273, 19570, 1775, 1923, 315, 3495, 347, 317, 273, 264, 23201, 898, 568, 519, 5276, 11346, 602, 25389, 519, 6101, 3961, 1269, 307, 1422, 15132, 22570, 14783, 4671, 910, 1422, 18773, 264, 815, 1422, 14783, 4671, 10608, 1284, 723, 2938, 602, 621, 3112, 581, 513, 630, 15710, 743, 22470, 264, 2836, 1457, 11252, 19053, 17789, 24792, 11346, 267, 543, 3976, 538, 1880, 621, 3112, 581, 513, 670, 7238, 3944, 6387, 5336, 16554, 4802, 12750, 1512, 269, 901, 666, 581, 2938, 811, 2047, 676, 519, 1249, 602, 1022, 670, 7238, 3944, 6387, 5336, 16554, 4802, 2783, 540, 519, 1106, 20270, 24689, 14783, 17353, 10401, 348, 332, 7268, 3495, 12101, 339, 879, 31206, 1422, 1652, 13678, 29192, 10401, 1923, 7268, 3495, 12101, 339, 879, 31206, 13064, 24689, 10401, 347, 348, 815, 630, 24689, 3495, 347, 317, 273, 1341, 1422, 339, 879, 317, 273, 264, 13064, 24689, 10401, 347, 270, 273, 22288, 568, 5693, 22424, 26702, 609, 519, 11324, 2718, 23223, 766, 540, 519, 3090, 20270, 332, 20954, 799, 25389, 20270, 332, 7268, 14433, 1422, 3495, 267, 1422, 14433, 317, 273, 1422, 339, 879, 264, 815, 544, 7268, 3495, 12101, 339, 879, 264, 4151, 585, 1022, 12276, 14433, 1422, 928, 336, 476, 271, 23201, 1717, 267, 519, 16755, 540, 20270, 332, 4151, 2965, 14183, 930, 824, 21603, 569, 2147, 2175, 602, 616, 540, 1719, 547, 721, 269, 11569, 267, 15603, 20270, 7268, 3495, 12101, 339, 879, 264, 1422, 514, 1422, 13992, 23334, 11892, 273, 4151, 585, 16134, 267, 649, 666, 1294, 585, 1383, 602, 12276, 14783, 29192, 3495, 1422, 14783, 29192, 339, 879, 544, 7268, 3495, 267, 1422, 339, 879, 264, 815, 1422, 14433, 317, 274, 1422, 14783, 29192, 3495, 1422, 14783, 29192, 339, 879, 544, 7268, 14433, 315, 3495, 267, 1422, 14433, 317, 273, 29146, 879, 264, 23201, 1879, 20270, 24689, 339, 879, 24689, 1652, 13678, 1923, 315, 3495, 347, 317, 273, 4151, 649, 666, 4061, 8044, 602, 20270, 24689, 14783, 29192, 3495, 1422, 14783, 29192, 339, 879, 544, 7268, 3495, 267, 1422, 339, 879, 31206, 815, 1923, 315, 3495, 347, 13064, 274, 348, 1923, 315, 14783, 29192, 3495, 1422, 14783, 29192, 339, 879, 544, 263, 272, 267, 1422, 339, 879, 1923, 315, 3495, 347, 13064, 273, 16585, 347, 1422, 1652, 13678, 1923, 315, 3495, 347, 13064, 272, 348, 1923, 315, 339, 879, 347, 13064, 272, 348, 1422, 338, 1575, 3709, 24689, 9508, 24689, 1652, 13678, 476, 272, 348, 1923, 315, 14783, 29192, 3495, 1422, 14783, 29192, 339, 879, 544, 263, 272, 267, 1422, 9508, 31206, 20954, 543, 13974, 950, 20270, 24689, 339, 879, 24689, 25885, 3464, 574, 1923, 315, 3495, 347, 317, 273, 4151, 282, 713, 2982, 602, 585, 1022, 20270, 7268, 3495, 267, 1422, 339, 879, 264, 4151, 609, 12276, 3495, 12101, 339, 879, 1422, 928, 336, 476, 271, 4151, 835, 814, 692, 7445, 6234, 1923, 315, 14783, 29192, 3495, 1422, 14783, 29192, 339, 879, 544, 7268, 3495, 267, 1422, 339, 879, 31206, 1422, 1652, 13678, 1923, 315, 3495, 347, 13064, 272, 348, 1923, 315, 339, 879, 347, 13064, 272, 20467, 6911, 1607, 2783, 568, 13380, 609, 519, 7222, 670, 7238, 3944, 6387, 5336, 16554, 4802, 2783, 1152, 950, 20270, 24689, 3495, 347, 1422, 13678, 1923, 315, 339, 879, 347, 20954, 543, 568, 27723, 1114, 6382, 267, 1373, 540, 1587, 1826, 630, 10193, 5469, 602, 519, 8635, 1657, 568, 15095, 609, 519, 11324, 2718, 23223, 766, 540, 20270, 332, 20954, 607, 621, 1058, 581, 6393, 258, 9978, 9741, 6229, 6261, 1446, 344, 3069, 4083, 281, 4009, 1109, 325, 17313, 692, 1607, 568, 519, 2034, 851, 540, 519, 3126, 593, 2596, 9741, 6229, 6261, 1446, 344, 3069, 267, 799, 814, 1044, 13939, 689, 930, 11000, 4967, 594, 5206, 585, 513, 4487, 5035, 269, 769, 713, 851, 649, 786, 6961, 519, 9741, 6229, 6261, 1446, 344, 16526, 267, 12077, 602, 585, 1022, 20270, 272, 2999, 533, 2999, 1422, 13727, 4151, 621, 6585, 602, 692, 7445, 6234, 1422, 347, 325, 315, 347, 3709, 299, 317, 335, 22570, 13992, 23334, 348, 14587, 1422, 13678, 7272, 1422, 19136, 315, 24689, 19136, 7268, 8999, 3709, 329, 1422, 514, 1422, 13992, 346, 313, 3686, 1923, 315, 18773, 19553, 535, 347, 317, 273, 1422, 19136, 22722, 272, 270, 273, 4153, 19136, 315, 347, 3709, 299, 317, 335, 22570, 13992, 23334, 348, 14587, 269, 1422, 1422, 1422, 1422, 1422, 22570, 323, 16925, 22491, 1607, 942, 972, 616, 849, 7899, 811, 5751, 267, 930, 540, 799, 594, 1589, 616, 9425, 4277, 630, 821, 540, 873, 568, 513, 11532, 540, 23052, 514, 538, 24320, 1047, 1916, 8512, 594, 281, 4908, 20327, 780, 275, 269, 3911, 26743, 4009, 1599, 692, 1103, 713, 1016, 7611, 649, 786, 2015, 513, 14583, 540, 519, 4009, 1599, 17729, 693, 519, 1318, 11804, 2427, 540, 630, 7445, 323, 16925, 259, 264, 1141, 649, 5372, 519, 4908, 20327, 12276, 18773, 19553, 4151, 676, 1732, 1969, 539, 3283, 780, 4131, 12276, 27923, 4151, 20301, 513, 5347, 1599, 609, 519, 3601, 602, 12276, 27923, 4151, 568, 11741, 569, 6462, 538, 519, 11996, 20270, 15631, 275, 16427, 272, 270, 273, 316, 1422, 24189, 1496, 272, 270, 273, 267, 476, 275, 316, 4151, 543, 568, 1541, 1227, 3160, 547, 20270, 272, 4151, 593, 519, 11996, 20270, 15631, 273, 16427, 272, 316, 1422, 24189, 1496, 272, 267, 273, 316, 23201, 1284, 5581, 519, 5347, 4908, 20327, 12276, 342, 573, 564, 32499, 3189, 18773, 20731, 329, 4151, 676, 23616, 6819, 692, 7445, 6234, 1422, 4204, 1002, 3189, 342, 573, 564, 32499, 3189, 18773, 20731, 329, 535, 32710, 3495, 264, 28701, 1422, 27923, 263, 273, 13064, 329, 348, 1422, 3495, 264, 1422, 4204, 1002, 346, 325, 32710, 3495, 5148, 6911, 2254, 823, 602, 519, 1599, 12276, 27923, 263, 273, 13064, 329, 348, 1422, 3495, 264, 4151, 568, 6462, 538, 20270, 15631, 273, 3867, 329, 266, 273, 9574, 268, 273, 3867, 329, 268, 272, 348, 316, 1422, 24189, 1496, 273, 3867, 329, 268, 272, 9574, 476, 273, 3867, 329, 266, 273, 348, 316, 4151, 543, 1541, 1227, 20270, 272, 4151, 538, 20270, 15631, 273, 3867, 329, 266, 272, 9574, 268, 273, 3867, 329, 348, 316, 1422, 24189, 1496, 273, 3867, 329, 9574, 476, 273, 3867, 329, 266, 272, 348, 316, 23201, 634, 2601, 1946, 971, 20327, 616, 1732, 1969, 539, 29084, 538, 519, 1249, 602, 519, 3252, 12276, 27923, 263, 273, 13064, 329, 4153, 3495, 264, 4151, 616, 1631, 5347, 267, 7429, 519, 8984, 3252, 12276, 10400, 346, 272, 13925, 314, 273, 317, 329, 267, 273, 3867, 329, 266, 272, 348, 316, 3686, 10608, 11569, 267, 789, 616, 2965, 5576, 23702, 345, 3252, 543, 596, 666, 1294, 676, 22263, 538, 11437, 4542, 602, 12276, 342, 573, 564, 32499, 3189, 18773, 20731, 329, 535, 815, 535, 1422, 770, 630, 273, 3867, 329, 348, 1422, 4204, 1002, 3189, 27923, 12917, 273, 3867, 329, 4153, 10383, 4297, 4151, 282, 519, 28708, 17830, 20270, 273, 3867, 329, 348, 1422, 4204, 1002, 3189, 27923, 12917, 273, 3867, 329, 4153, 10383, 264, 4151, 568, 25144, 538, 20270, 299, 317, 272, 4151, 543, 4061, 519, 11346, 568, 959, 643, 6053, 20270, 299, 317, 335, 1422, 21375, 700, 317, 335, 4151, 22112, 585, 1022, 20270, 272, 1422, 19008, 533, 1422, 19008, 1422, 13727, 4151, 676, 8479, 779, 8635, 267, 1510, 2348, 547, 18992, 547, 519, 22112, 1145, 540, 519, 23664, 6975, 2981, 563, 2171, 786, 1397, 602, 519, 1739, 5347, 1387, 4084, 540, 630, 821, 3368, 540, 264, 630, 7445, 323, 16925, 259, 264, 568, 3020, 630, 9767, 666, 1353, 519, 824, 3368, 538, 11644, 476, 277, 6393, 3682, 6570 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12675, 5712, 267, 4006, 6675, 666, 8936, 547, 5946, 538, 519, 1560, 538, 513, 1184, 1572, 25026, 566, 269, 901, 666, 1291, 547, 519, 5250, 540, 4359, 25026, 566, 1439, 2472, 630, 17803, 338, 1070, 799, 666, 3565, 547, 513, 2039, 540, 1072, 2042, 267, 1519, 3987, 267, 2295, 2068, 267, 543, 8459, 2068, 563, 17803, 338, 666, 849, 3565, 547, 19842, 2566, 267, 6553, 267, 543, 3441, 547, 10408, 3889, 269, 901, 666, 17108, 519, 10172, 1184, 543, 2333, 519, 1981, 540, 2085, 5829, 1072, 2042, 563, 3725, 951, 532, 7392, 476, 273, 12128, 454, 3725, 951, 532, 1826, 476, 273, 3987, 568, 2009, 998, 6197, 2242, 267, 1519, 2732, 543, 3635, 269, 634, 3804, 568, 547, 2087, 7378, 8417, 543, 1852, 1973, 4006, 2157, 563, 268, 10791, 281, 589, 2732, 602, 568, 1970, 538, 4006, 543, 15568, 11950, 543, 1164, 538, 6775, 267, 3940, 267, 543, 2635, 9600, 666, 2087, 7378, 8417, 543, 948, 1852, 1973, 4006, 2157, 269, 16639, 602, 616, 3638, 538, 14434, 267, 971, 607, 5613, 543, 5388, 267, 666, 849, 948, 2569, 19842, 2566, 563, 268, 11644, 281, 8617, 3635, 666, 2087, 7378, 8417, 543, 948, 1852, 1973, 4006, 2157, 269, 898, 666, 849, 2569, 6553, 543, 19842, 2566, 563, 268, 13379, 2530, 281, 700, 3151, 2597, 666, 2087, 7378, 8417, 543, 1852, 1973, 4006, 2157, 563, 268, 13262, 2359, 281, 13262, 666, 3565, 547, 7378, 4187, 543, 11506, 1973, 4006, 2157, 269, 19737, 2566, 998, 2553, 971, 607, 9066, 267, 10649, 267, 610, 2620, 7244, 666, 948, 2087, 7378, 8417, 563, 11045, 2211, 566, 609, 28900, 590, 712, 1027, 645, 545, 16808, 590, 18649, 454, 289, 545, 12365, 622, 568, 513, 2067, 17280, 602, 666, 948, 9243, 1125, 23639, 538, 519, 1560, 269, 645, 545, 12365, 622, 568, 3812, 6923, 676, 519, 1560, 543, 666, 849, 581, 5833, 689, 8192, 2959, 267, 971, 607, 5613, 543, 5388, 269, 1717, 267, 972, 568, 849, 2963, 547, 2303, 602, 21455, 609, 22833, 12365, 622, 666, 948, 2569, 519, 2360, 540, 23639, 593, 3987, 563, 22137, 723, 3254, 602, 21455, 609, 22833, 12365, 622, 666, 948, 2087, 7378, 8417, 543, 2569, 19842, 2566, 538, 1004, 609, 1826, 476, 273, 3987, 269, 901, 949, 581, 1813, 547, 519, 2702, 540, 22833, 12365, 622, 547, 9243, 1125, 23639, 543, 3895, 30175, 6541, 538, 519, 1560, 563, 19522, 585, 10395, 908, 12128, 543, 18729, 2670, 454, 1103, 1840, 547, 21455, 609, 22833, 12365, 622, 267, 972, 616, 1896, 824, 4388, 602, 666, 948, 8396, 3987, 543, 3679, 2670, 912, 268, 21079, 4006, 543, 15568, 19346, 6981, 281, 16639, 602, 616, 1164, 538, 4006, 543, 15568, 11950, 666, 3565, 547, 11506, 1973, 4006, 2157, 543, 23639, 563, 268, 21561, 6775, 6981, 281, 27438, 666, 948, 10038, 1973, 4006, 2157, 543, 2087, 7378, 8417, 563, 268, 3117, 2541, 22279, 3536, 281, 29759, 543, 5388, 616, 22279, 543, 948, 2569, 23639, 538, 707, 1560, 998, 2732, 563, 13911, 476, 273, 12128, 568, 513, 2413, 2068, 602, 666, 581, 7307, 609, 2732, 267, 9015, 543, 6197, 5079, 269, 20331, 609, 1344, 568, 519, 1101, 1900, 538, 4227, 707, 1981, 540, 5312, 2068, 538, 707, 2663, 1296, 269, 0, 1103, 519, 28677, 4884, 540, 23108, 22093, 267, 11495, 513, 3666, 1063, 3106, 543, 15312, 568, 2629, 950, 621, 2501, 547, 3529, 535, 2454, 269, 8617, 5826, 5849, 519, 3106, 540, 2043, 543, 3959, 676, 7303, 1761, 10898, 563, 1607, 2376, 786, 2263, 519, 2956, 540, 3529, 16013, 2719, 543, 18309, 543, 786, 10625, 875, 891, 2853, 666, 3986, 1312, 519, 3106, 540, 707, 10450, 543, 519, 5898, 540, 707, 5251, 269, 1635, 7303, 1761, 10898, 543, 7446, 3318, 3529, 2533, 267, 596, 666, 2327, 513, 18900, 30398, 609, 2470, 267, 2870, 513, 11617, 13267, 1604, 602, 3922, 3278, 519, 1134, 5630, 540, 782, 563, 19119, 2986, 10326, 2558, 21148, 1656, 2398, 12941, 454, 763, 2640, 540, 3529, 16013, 2719, 543, 18309, 538, 23108, 22093, 616, 3875, 543, 1898, 269, 8617, 16013, 2719, 543, 18309, 3986, 519, 2949, 5920, 540, 4054, 543, 3895, 741, 1072, 543, 15325, 269, 2290, 540, 519, 3119, 2640, 568, 519, 8851, 540, 4666, 610, 30428, 8371, 267, 799, 666, 10460, 513, 1713, 1981, 547, 1312, 1004, 543, 3959, 269, 1635, 14874, 891, 1761, 10898, 267, 3529, 16013, 2719, 543, 18309, 948, 2061, 10913, 543, 3959, 3441, 3361, 676, 9991, 8371, 1282, 15420, 610, 1164, 12798, 563, 11101, 267, 16013, 2719, 543, 18309, 3565, 547, 519, 2949, 1072, 540, 4054, 676, 5355, 2011, 10009, 543, 7943, 21774, 269, 1635, 9427, 32036, 4765, 8371, 267, 519, 1184, 2636, 585, 1732, 2011, 10009, 267, 4227, 519, 1981, 540, 3676, 3361, 676, 24715, 656, 2011, 269, 3958, 267, 1697, 18309, 2337, 28570, 7943, 547, 519, 6418, 2694, 540, 519, 3529, 267, 4180, 782, 2694, 4309, 7850, 1769, 585, 15591, 543, 2208, 563, 13010, 267, 2834, 16013, 2719, 543, 18309, 666, 3337, 519, 4054, 267, 5009, 513, 811, 8353, 24312, 24886, 5251, 269, 1635, 9427, 7050, 2208, 267, 4054, 666, 581, 9738, 693, 606, 3617, 2450, 543, 3337, 267, 7393, 741, 2949, 5920, 543, 9148, 532, 519, 4478, 1604, 563, 28444, 1005, 8881, 3414, 8617, 20904, 454, 19894, 5826, 4249, 513, 4105, 1909, 538, 4180, 519, 3106, 540, 4054, 538, 23108, 22093, 998, 5571, 3529, 16013, 2719, 543, 18309, 269, 19029, 616, 2713, 7103, 602, 7683, 1332, 543, 1020, 269, 1306, 789, 1332, 267, 741, 8371, 666, 1831, 4617, 267, 30428, 267, 610, 4666, 269, 1452, 8371, 10460, 513, 1713, 1981, 607, 789, 666, 3362, 2736, 543, 2887, 267, 5732, 4929, 3441, 547, 3959, 610, 2800, 547, 1004, 269, 8617, 3529, 16013, 2719, 543, 18309, 948, 547, 9004, 891, 4220, 676, 9427, 4617, 610, 4666, 8371, 543, 5009, 2635, 2208, 563, 3528, 5781, 4509, 4054, 538, 23108, 22093, 267, 3959, 5411, 666, 2061, 1761, 10913, 543, 7063, 269, 2558, 21148, 543, 18309, 849, 948, 547, 2226, 519, 2949, 7293, 8699, 540, 519, 4054, 267, 4227, 519, 10171, 540, 8371, 8840, 1282, 15420, 610, 1164, 12798, 269, 8617, 5826, 849, 2636, 818, 4011, 1235, 547, 2697, 1022, 4191, 540, 2068, 610, 23588, 2038, 593, 267, 2810, 519, 8458, 540, 3811, 2126, 543, 7303, 519, 3262, 547, 824, 4054, 563, 11101, 267, 2834, 5826, 10597, 519, 12716, 9029, 540, 4054, 538, 23108, 22093, 269, 7743, 16013, 2719, 543, 18309, 948, 547, 3337, 519, 4054, 267, 5329, 873, 16517, 543, 11617, 24886, 269, 898, 849, 2636, 585, 1732, 2011, 10009, 543, 1769, 21774, 267, 5009, 8902, 2208, 543, 7303, 519, 1646, 540, 10053, 666, 641, 625, 602, 666, 1291, 547, 11641, 543, 2068, 2042, 563, 26670, 3496, 634, 25925, 2986, 2659, 23721, 454, 1692, 666, 3529, 16013, 2719, 543, 18309, 538, 23108, 22093, 3986, 519, 5898, 540, 707, 5251, 888, 21698, 18309, 3028, 543, 3529, 16013, 2719, 3028, 568, 1898, 538, 4509, 519, 15312, 540, 707, 5251, 538, 23108, 22093, 269, 1635, 9427, 4666, 610, 30428, 8371, 267, 519, 2949, 5920, 540, 519, 4054, 568, 4824, 267, 1818, 873, 1413, 8902, 543, 811, 11617, 13267, 269, 3958, 267, 1697, 18309, 2553, 666, 3986, 519, 3337, 543, 2497, 540, 519, 4054, 267, 2870, 513, 811, 7059, 543, 18900, 5251, 269, 8617, 3529, 16013, 2719, 543, 18309, 849, 3895, 519, 2208, 540, 1007, 8371, 543, 3762, 267, 4611, 538, 513, 2407, 518, 543, 561, 639, 615, 24588, 269, 901, 711, 1152, 8591, 5898, 547, 707, 5251, 855, 849, 2488, 12094, 543, 12062, 585, 9205, 2238, 269, 2558, 21148, 543, 18309, 666, 849, 948, 1852, 519, 2450, 540, 519, 4054, 267, 7303, 873, 689, 31083, 611, 12976, 824, 2371, 610, 3889, 538, 707, 4677, 563, 13010, 267, 3529, 16013, 2719, 543, 18309, 666, 3986, 519, 5898, 540, 707, 5251, 676, 5355, 519, 5784, 543, 8289, 6050, 269, 1635, 28729, 9427, 1978, 8371, 267, 596, 666, 1930, 909, 642, 626, 553, 543, 1450, 585, 1732, 15287, 540, 824, 2609, 538, 707, 4677, 267, 971, 607, 5810, 267, 19211, 267, 610, 11265, 2934, 563, 7093, 28124, 15783, 18171, 1841, 769, 10326, 674, 2454, 454, 7468, 12941, 543, 16013, 2719, 4054, 538, 23108, 22093, 711, 1152, 3986, 519, 5898, 540, 707, 5251, 855, 849, 1404, 513, 4105, 1909, 538, 7303, 1761, 10898, 1282, 3529, 535, 2454, 269, 1879, 513, 3529, 568, 711, 5265, 9738, 267, 621, 666, 10460, 1713, 4220, 547, 1312, 3959, 543, 2123, 3106, 269, 16458, 610, 18604, 8371, 666, 3362, 2736, 1055, 543, 2887, 30122, 267, 4929, 3441, 547, 3889, 610, 3614, 1005, 1004, 2630, 269, 3958, 267, 936, 326, 3497, 8371, 666, 15936, 609, 1379, 3515, 267, 2810, 519, 1981, 540, 5122, 11642, 543, 856, 1137, 563, 3528, 5781, 18309, 543, 16013, 2719, 4054, 267, 891, 1761, 10898, 666, 581, 7339, 730, 269, 2558, 21148, 18788, 4666, 267, 30428, 267, 610, 4617, 8371, 267, 4227, 519, 10171, 540, 873, 9991, 30122, 269, 898, 849, 2337, 547, 2226, 519, 2949, 1072, 543, 7293, 8699, 540, 519, 3529, 269, 2398, 12941, 849, 5849, 602, 8371, 616, 6854, 693, 513, 2922, 3845, 689, 1379, 3515, 267, 4227, 519, 1981, 540, 5122, 10913, 269, 12333, 3529, 959, 9404, 619, 543, 929, 684, 619, 538, 23108, 22093, 723, 519, 6791, 543, 3937, 2556, 547, 9108, 4163, 856, 891, 4247, 269, 1358, 666, 2697, 543, 4894, 1022, 1761, 10898, 267, 4180, 602, 707, 3959, 543, 10450, 2611, 2922, 563, 19894, 5826, 998, 3529, 16013, 2719, 543, 3529, 18309, 538, 23108, 22093, 711, 1152, 10597, 519, 15312, 540, 707, 5251, 855, 849, 2337, 547, 2061, 10913, 543, 3441, 267, 1818, 621, 606, 1898, 2259, 585, 3743, 3529, 1416, 563, 24400, 10326, 2558, 21148, 1656, 10326, 2398, 12941, 6796, 769, 23108, 22093, 454, 2691, 6236, 3529, 16013, 2719, 543, 18309, 2533, 538, 23108, 22093, 267, 621, 568, 1271, 547, 5402, 6218, 543, 2824, 513, 3318, 8502, 945, 19299, 519, 2556, 6791, 543, 3937, 563, 21698, 16013, 2719, 543, 18309, 616, 10347, 4247, 602, 2154, 8856, 543, 1702, 547, 2327, 519, 3106, 543, 1072, 540, 519, 4054, 267, 607, 1134, 607, 519, 4478, 3959, 543, 2043, 269, 3689, 543, 19466, 267, 621, 568, 2629, 547, 3442, 513, 3529, 3028, 8502, 602, 814, 1995, 538, 3529, 16013, 2719, 543, 18309, 269, 6733, 585, 3549, 602, 723, 1044, 538, 519, 2872, 585, 513, 1713, 2179, 540, 942, 543, 723, 513, 8810, 3950, 2594, 540, 12419, 1164, 7779, 2533, 269, 589, 18019, 8502, 786, 723, 8036, 543, 14468, 818, 4011, 1235, 945, 1174, 519, 2189, 2115, 540, 1114, 3529, 2249, 543, 666, 4363, 519, 3617, 16013, 2719, 543, 18309, 2553, 269, 3958, 267, 2015, 519, 3937, 543, 2645, 602, 519, 3529, 3028, 8502, 3096, 269, 634, 946, 540, 2413, 543, 1134, 31720, 22633, 3937, 711, 1152, 5849, 4398, 855, 849, 24024, 519, 1981, 540, 10913, 543, 3441, 269, 589, 3318, 8502, 786, 723, 1569, 547, 7463, 2645, 971, 607, 18309, 1352, 1513, 267, 11800, 9155, 267, 543, 19666, 3076, 1206, 267, 3850, 873, 547, 6023, 1022, 16013, 2719, 610, 18309, 2816, 3927, 543, 9108, 563, 13010, 267, 621, 568, 1898, 547, 3442, 513, 3529, 3028, 8502, 602, 3922, 3278, 3106, 269, 6733, 585, 513, 2754, 602, 5205, 2872, 4441, 543, 2853, 267, 1519, 9849, 3617, 3106, 10591, 543, 14139, 1697, 2553, 547, 2061, 10913, 269, 589, 18019, 8502, 786, 849, 723, 15668, 6142, 547, 2149, 1312, 2933, 543, 741, 7218, 538, 2013, 540, 1022, 27644, 13685, 563, 32153, 10326, 7896, 281, 4208, 1358, 17460, 454, 32153, 3529, 2533, 1404, 513, 2629, 1909, 538, 4180, 519, 1697, 1416, 543, 5826, 540, 4054, 538, 23108, 22093, 269, 19029, 616, 3407, 7221, 602, 1683, 3875, 2640, 547, 519, 1604, 543, 519, 2146, 269, 1717, 267, 16789, 1416, 543, 10714, 666, 1291, 547, 1585, 2042, 267, 971, 607, 936, 29115, 267, 2068, 267, 543, 7293, 12755, 269, 901, 568, 1141, 3318, 3529, 2533, 2097, 538, 563, 5575, 543, 19466, 267, 3318, 3529, 2533, 723, 519, 6791, 543, 1702, 547, 2708, 519, 2783, 540, 4054, 543, 3313, 519, 1655, 1576, 540, 2962, 269, 1358, 666, 2697, 4191, 540, 2068, 267, 10860, 267, 610, 7293, 2152, 602, 949, 2154, 7525, 3007, 269, 1635, 10647, 2834, 24422, 543, 3246, 3617, 5574, 267, 789, 948, 2061, 2417, 3441, 543, 3895, 3529, 1072, 269, 3958, 267, 3318, 3529, 2533, 723, 519, 2556, 3937, 543, 2645, 547, 9108, 543, 7561, 16013, 267, 32566, 267, 610, 4894, 4054, 269, 10326, 16013, 2719, 543, 18309, 616, 1898, 585, 4509, 519, 15312, 543, 7293, 8699, 540, 4054, 269, 7743, 18309, 2553, 666, 3337 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7185, 15048, 540, 519, 1977, 9142, 540, 12619, 6925, 543, 12619, 3194, 5980, 269, 4750, 540, 11916, 12619, 6925, 267, 476, 1556, 263, 6187, 1070, 476, 6795, 272, 268, 30020, 269, 8222, 281, 1015, 269, 276, 5780, 275, 10768, 322, 8243, 269, 275, 4037, 279, 0, 1103, 18603, 519, 1266, 344, 8412, 267, 610, 914, 549, 11209, 267, 729, 538, 1249, 16832, 547, 519, 2347, 14496, 540, 513, 7365, 4579, 269, 898, 729, 1500, 676, 519, 2067, 610, 3656, 27369, 630, 5652, 686, 657, 264, 540, 519, 27379, 267, 2356, 1200, 4651, 267, 543, 13984, 676, 519, 14077, 540, 1312, 6105, 607, 22168, 269, 769, 9147, 1975, 21840, 267, 519, 1016, 867, 1588, 540, 4357, 18697, 543, 2123, 8788, 547, 519, 1390, 540, 519, 2489, 1857, 729, 9244, 6273, 676, 519, 3656, 4808, 540, 519, 2749, 269, 1452, 6042, 1185, 1044, 1759, 593, 519, 4122, 18931, 840, 1061, 602, 621, 729, 519, 10279, 540, 1169, 12504, 547, 5818, 909, 513, 2178, 543, 2635, 16048, 1453, 547, 519, 1533, 269, 634, 8978, 5259, 9777, 2209, 2219, 268, 12671, 7365, 547, 581, 513, 2339, 540, 1857, 7279, 563, 2005, 3884, 1406, 2386, 952, 2021, 723, 1044, 8655, 2244, 2933, 267, 610, 16136, 1177, 519, 2244, 8655, 547, 741, 8152, 27512, 269, 1975, 691, 534, 2021, 9327, 1406, 22378, 333, 519, 7972, 540, 8152, 27512, 610, 14930, 945, 5747, 538, 2112, 267, 2705, 2864, 1491, 10508, 540, 741, 12703, 6411, 543, 24123, 27757, 269, 634, 6469, 1858, 543, 11645, 723, 1044, 5258, 676, 5256, 543, 4775, 269, 634, 2021, 1131, 723, 741, 2230, 909, 560, 4202, 267, 543, 519, 2367, 1524, 560, 4202, 563, 294, 872, 802, 21078, 585, 2462, 16873, 543, 2621, 267, 621, 3085, 1406, 2339, 1018, 779, 519, 2680, 269, 898, 779, 10123, 711, 16613, 585, 873, 547, 1491, 519, 8020, 543, 2206, 865, 5965, 585, 930, 21173, 1187, 737, 4673, 5803, 17334, 269, 6271, 8799, 3896, 568, 570, 5407, 799, 814, 513, 10426, 1636, 1039, 6823, 602, 14998, 596, 547, 5968, 2059, 609, 707, 2048, 685, 31528, 15831, 685, 685, 1256, 4505, 982, 596, 12446, 538, 10255, 563, 11321, 5846, 538, 3504, 10255, 1185, 1454, 1447, 540, 513, 4493, 538, 2123, 3347, 543, 3063, 538, 1514, 10279, 269, 634, 6662, 543, 1445, 540, 782, 22888, 729, 5921, 547, 581, 18187, 320, 267, 1818, 7365, 513, 1966, 540, 1857, 7279, 269, 3057, 17699, 723, 1044, 1419, 11231, 676, 519, 19033, 543, 3158, 282, 2899, 538, 513, 1247, 9952, 6474, 16234, 1185, 1044, 1031, 563, 6624, 540, 519, 4513, 10437, 3893, 1934, 689, 5607, 19724, 267, 2051, 577, 529, 630, 2431, 1631, 11908, 264, 543, 774, 15869, 630, 339, 3736, 31697, 543, 27040, 10255, 1040, 14627, 550, 11562, 532, 538, 891, 2127, 1185, 2813, 606, 15792, 10553, 1683, 267, 543, 3214, 6035, 676, 26525, 19033, 543, 3158, 941, 513, 851, 540, 519, 11865, 269, 6271, 7839, 2014, 585, 22888, 547, 9096, 729, 952, 2576, 729, 11097, 15735, 269, 6468, 723, 1044, 3335, 1500, 11097, 3298, 950, 741, 8152, 27512, 5747, 538, 13137, 267, 2367, 3622, 8057, 547, 1831, 11097, 3298, 1317, 540, 27757, 2429, 27638, 269, 898, 729, 7839, 585, 1082, 945, 723, 1044, 32682, 1027, 610, 11097, 15735, 547, 581, 1121, 541, 3072, 563, 1103, 5618, 267, 519, 3339, 7622, 2418, 540, 15061, 2470, 12081, 1318, 1934, 269, 1358, 2015, 602, 909, 32523, 543, 5132, 1404, 513, 2462, 3368, 538, 23115, 856, 945, 596, 2461, 269, 634, 13708, 657, 729, 519, 16806, 19967, 4807, 1554, 267, 519, 1747, 513, 3126, 540, 18428, 11303, 519, 4483, 540, 519, 27379, 689, 1200, 4651, 779, 15335, 547, 602, 540, 1200, 1007, 9393, 269, 898, 3323, 609, 513, 15093, 267, 2926, 548, 807, 267, 630, 2181, 3405, 1388, 1070, 799, 729, 585, 519, 10971, 547, 12196, 519, 1079, 1373, 12311, 563, 628, 902, 547, 917, 4505, 982, 2078, 513, 5259, 8004, 454, 2791, 1590, 2628, 585, 713, 4781, 855, 594, 8263, 621, 779, 3902, 621, 267, 2523, 1058, 596, 1810, 1406, 991, 547, 6336, 707, 1863, 942, 269, 16380, 2648, 741, 4182, 513, 2603, 602, 789, 693, 782, 2053, 1616, 547, 6108, 741, 14812, 538, 10255, 267, 2523, 538, 519, 2680, 602, 789, 2461, 23029, 13383, 269, 3807, 24440, 4190, 5259, 10195, 899, 3733, 330, 517, 657, 267, 4787, 328, 987, 657, 610, 10910, 3941, 543, 594, 6557, 2318, 596, 2461, 2469, 547, 917, 1018, 594, 6557, 6031, 563, 10214, 538, 2013, 596, 616, 1318, 1934, 1279, 2196, 267, 5870, 1004, 568, 4440, 711, 3551, 890, 6470, 269, 6884, 267, 1272, 786, 1205, 538, 519, 1655, 1259, 543, 972, 1175, 3884, 1406, 513, 2603, 942, 547, 14827, 543, 581, 1514, 269, 6736, 519, 1249, 602, 16380, 899, 547, 14827, 585, 6995, 610, 10425, 267, 789, 2356, 14827, 538, 6887, 630, 1492, 19416, 533, 19327, 1586, 1070, 799, 1118, 10198, 1007, 1004, 27162, 615, 269, 5192, 856, 540, 519, 2777, 267, 596, 1522, 7237, 707, 5259, 5601, 610, 15831, 538, 9247, 519, 1034, 4351, 1747, 269, 1656, 1256, 952, 621, 4667, 547, 581, 513, 2241, 11505, 267, 596, 3580, 16172, 1294, 602, 621, 729, 1871, 621, 563, 15987, 519, 2601, 568, 7164, 267, 621, 568, 2219, 713, 949, 723, 1044, 547, 8897, 519, 5912, 883, 741, 1007, 1272, 269, 6931, 16737, 327, 718, 814, 11855, 6169, 540, 606, 26922, 2688, 538, 8978, 717, 677, 2106, 267, 519, 1747, 519, 2021, 941, 1634, 607, 1273, 549, 328, 758, 16211, 563, 19667, 528, 1027, 24726, 6740, 741, 3959, 267, 3368, 540, 519, 7031, 689, 741, 1378, 3959, 267, 543, 3368, 540, 1018, 789, 1185, 18955, 269, 2311, 1975, 21840, 267, 3046, 1066, 1145, 593, 519, 851, 540, 513, 7385, 5526, 547, 723, 1044, 513, 6989, 585, 14962, 531, 676, 519, 9393, 269, 1403, 519, 23947, 5795, 9844, 267, 1453, 26870, 689, 519, 6677, 889, 710, 1223, 581, 17019, 607, 646, 15077, 547, 519, 9393, 563, 310, 5793, 5503, 22888, 723, 1044, 2442, 1317, 540, 519, 4644, 540, 602, 942, 547, 4173, 320, 267, 519, 15831, 540, 7365, 269, 634, 7008, 15548, 538, 513, 16008, 799, 3769, 12738, 7222, 547, 1654, 559, 17594, 267, 18562, 621, 729, 519, 7008, 2713, 15217, 602, 1500, 519, 16806, 17101, 269, 25141, 729, 6956, 547, 581, 519, 4013, 5912, 689, 6689, 883, 15657, 585, 8951, 563, 14399, 540, 971, 18787, 1131, 1287, 581, 2219, 540, 16048, 23723, 1014, 4961, 1310, 789, 3357, 540, 2085, 269, 9282, 519, 22888, 14201, 1406, 16155, 6444, 538, 18603, 267, 14547, 1558, 923, 666, 581, 2219, 268, 12671, 9310, 676, 891, 5180, 873, 538, 519, 2680, 602, 789, 7550, 519, 9838, 5773, 543, 18428, 269, 1452, 15185, 1131, 1287, 957, 607, 1022, 9310, 23723, 1014, 7008, 1131, 563, 763, 3009, 5526, 547, 21246, 958, 6023, 1850, 1275, 540, 22888, 547, 14719, 622, 519, 15114, 543, 2797, 4567, 540, 1022, 1453, 269, 22893, 1222, 540, 519, 19920, 540, 10553, 2367, 543, 1863, 2021, 31030, 593, 519, 1747, 519, 3214, 5030, 269, 5753, 941, 2808, 10437, 952, 519, 7008, 5030, 543, 6659, 519, 3214, 538, 519, 1753, 540, 741, 4651, 267, 1818, 873, 3959, 540, 1010, 9787, 269, 1403, 519, 7008, 5030, 543, 6659, 3214, 538, 519, 2777, 540, 741, 3158, 789, 1185, 1044, 2219, 540, 1863, 269, 5753, 4535, 547, 476, 273, 10553, 3237, 666, 581, 11262, 676, 741, 4487, 563, 5522, 6737, 19528, 835, 540, 891, 607, 519, 5539, 1651, 3518, 550, 2390, 1142, 1367, 547, 3761, 585, 513, 2585, 766, 540, 13222, 547, 8011, 5128, 607, 26110, 540, 519, 6555, 6541, 630, 1729, 328, 634, 16211, 3834, 699, 339, 553, 606, 685, 688, 583, 537, 9132, 573, 517, 2967, 1040, 2060, 713, 538, 2247, 267, 1126, 1652, 2043, 1131, 3335, 22738, 24379, 3214, 267, 1519, 1453, 945, 1185, 1044, 2451, 547, 5884, 269, 1280, 513, 7365, 547, 581, 9763, 607, 6325, 538, 18603, 267, 1312, 519, 27379, 543, 19081, 2877, 547, 581, 540, 1863, 4567, 267, 543, 1310, 476, 26493, 289, 4753, 267, 1312, 1185, 547, 581, 6325, 1453, 540, 23723, 1014, 12504, 3885, 269, 0, 5575, 7232, 591, 14272, 720, 540, 28544, 20579, 590, 1343, 26932, 3894, 645, 2940, 987, 4279, 20463, 454, 3528, 21861, 28615, 454, 1607, 2250, 5147, 267, 2817, 13812, 18966, 630, 301, 310, 293, 264, 5342, 513, 11362, 16939, 547, 3489, 22089, 540, 10172, 3282, 27983, 1193, 2426, 2066, 835, 540, 519, 1034, 6213, 6753, 538, 519, 4279, 20463, 267, 543, 7654, 519, 1158, 281, 519, 18135, 1080, 540, 27963, 514, 659, 269, 14272, 720, 540, 891, 27983, 814, 2760, 1044, 5950, 547, 519, 1857, 2394, 1631, 563, 763, 18135, 1080, 540, 27963, 514, 659, 27983, 267, 11262, 676, 2037, 8822, 6052, 267, 616, 476, 2568, 26188, 6040, 543, 2808, 835, 540, 519, 6574, 6937, 547, 519, 4279, 20463, 1317, 540, 741, 2085, 267, 4087, 543, 519, 13818, 2472, 789, 3560, 31251, 13545, 521, 1343, 6508, 3282, 563, 2690, 5176, 1079, 1296, 267, 32065, 293, 814, 1044, 10296, 18180, 22124, 543, 2037, 8822, 547, 5305, 1344, 827, 519, 8699, 540, 891, 27983, 267, 1519, 14791, 7044, 6029, 875, 519, 27983, 3444, 519, 18135, 1080, 540, 27963, 514, 659, 269, 1452, 13668, 723, 8854, 7361, 796, 753, 26833, 689, 1312, 2037, 8822, 543, 519, 26932, 5202, 18171, 1841, 8881, 10029, 630, 15771, 5960, 288, 1070, 945, 21560, 18180, 4238, 269, 5221, 2037, 8822, 26558, 1176, 6410, 4464, 609, 4566, 547, 2333, 2604, 593, 519, 10172, 27983, 267, 543, 814, 21271, 539, 2565, 2825, 28498, 585, 2242, 538, 5106, 267, 32065, 293, 4956, 649, 2877, 547, 3489, 938, 1378, 912, 763, 22089, 2982, 27983, 17735, 936, 519, 10720, 5523, 267, 930, 3312, 7028, 7745, 2476, 1765, 785, 21899, 519, 4527, 540, 14809, 11652, 930, 6810, 540, 519, 17735, 27983, 4988, 538, 1804, 25985, 540, 7164, 11935, 269, 901, 3308, 568, 2963, 602, 938, 3375, 15670, 991, 547, 1900, 538, 543, 3747, 513, 5305, 540, 1344, 689, 2037, 8822, 543, 11682, 5960, 288, 563, 3891, 697, 2287, 938, 6161, 1472, 713, 18180, 543, 519, 2754, 602, 22595, 621, 281, 5103, 2348, 23498, 938, 4685, 960, 609, 519, 772, 2529, 269, 11076, 15050, 267, 1896, 6837, 1308, 2818, 543, 13067, 14657, 8232, 267, 938, 5234, 543, 519, 4685, 12284, 1185, 13943, 4205, 609, 2037, 8822, 13222, 269, 1306, 4166, 607, 938, 2319, 1305, 856, 593, 519, 1216, 267, 649, 941, 3533, 10483, 676, 606, 2037, 8822, 12284, 602, 16913, 938, 1169, 1847, 269, 901, 5464, 1705, 711, 3247, 693, 519, 2627, 281, 2037, 8822, 849, 5116, 513, 22647, 7358, 730, 27990, 630, 4629, 309, 264, 883, 519, 1216, 547, 4585, 938, 2319, 563, 4322, 3527, 543, 938, 3381, 723, 6659, 938, 1377, 540, 6161, 585, 519, 2489, 10512, 2623, 540, 713, 2754, 543, 741, 2949, 3106, 2528, 31251, 519, 1259, 789, 1521, 519, 7255, 1857, 2713, 2282, 741, 27983, 269, 1403, 891, 10172, 27983, 28230, 267, 519, 4611, 3282, 521, 5585, 1131, 2014, 26464, 3441, 547, 3165, 543, 7320, 267, 6704, 1216, 267, 8235, 12309, 17822, 267, 27963, 514, 659, 6816, 543, 938, 4346, 563, 2414, 1118, 6927, 8338, 267, 519, 2487, 9505, 6658, 540, 938, 5313, 2229, 814, 2451, 2950, 543, 7320, 609, 606, 2799, 1981, 540, 3282, 29908, 543, 8959, 3210, 1317, 18180, 3106, 543, 14775, 8041, 723, 1044, 26987, 1394, 610, 6806, 782, 1927, 269, 634, 2487, 3282, 21383, 538, 3345, 21241, 267, 540, 5111, 476, 8517, 267, 1822, 17529, 267, 568, 2713, 6169, 563, 1607, 2376, 729, 8385, 3370, 593, 2817, 13812, 18966, 779, 13812, 8871, 1047, 563, 763, 1101, 772, 2529, 269, 834, 332, 584, 1457, 18057, 564, 257, 9566, 814, 1044, 4362, 543, 17515, 563, 268, 1412, 300, 584, 1457, 24125, 1115, 262, 20128, 1540, 538, 772, 2529, 269, 585, 519, 3689, 5384, 910, 19889, 19400, 20064, 268, 1548, 3657, 7489, 27951, 24125, 1115, 267, 543, 3657, 1358, 26419, 667, 836, 2730, 3267, 20064, 292, 1723, 19400, 11545, 5240, 12072, 454, 3528, 26391, 7788, 7338, 454, 2690, 519, 1101, 942, 267, 3173, 723, 2919, 513, 2203, 5827, 540, 9027, 908, 10980, 5712, 538, 519, 8835, 909, 547, 476, 1240, 3275, 538, 4434, 269, 634, 1353, 729, 5342, 676, 3744, 689, 519, 623, 1824, 17043, 4659, 585, 8693, 8177, 3194, 630, 18444, 298, 1070, 538, 5125, 267, 607, 851, 540, 519, 570, 6235, 18745, 538, 519, 3047, 3590, 630, 307, 328, 303, 2464, 264, 1788, 267, 3366, 676, 21997, 9697, 12541, 595, 22044, 518, 543, 3370, 538, 519, 4760, 7025, 3194, 16707, 563, 30182, 10865, 4262, 2627, 2837 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 641, 11305, 648, 903, 577, 29195, 19065, 370, 20804, 1411, 2052, 4855, 2725, 2201, 281, 3733, 19534, 910, 5291, 2517, 14537, 344, 916, 2593, 270, 3733, 5822, 19305, 910, 4179, 2517, 4178, 28938, 2593, 11305, 11305, 648, 344, 916, 577, 29195, 9365, 910, 4179, 2517, 4178, 269, 2183, 1504, 2593, 14727, 648, 344, 5960, 577, 29195, 12108, 910, 4179, 2517, 13512, 7867, 2593, 14727, 648, 344, 5960, 577, 29195, 17749, 910, 4179, 2517, 4178, 269, 13318, 8183, 2593, 11305, 648, 344, 916, 577, 29195, 270, 1948, 23911, 1948, 14503, 2532, 454, 21366, 281, 476, 29579, 4391, 11759, 344, 5576, 29195, 454, 1103, 713, 27707, 24248, 3381, 5850, 267, 649, 7903, 513, 1065, 334, 883, 938, 1788, 269, 4427, 18285, 585, 811, 1863, 18862, 4179, 2517, 2998, 334, 3052, 331, 270, 277, 331, 14765, 293, 322, 267, 16179, 713, 3126, 609, 606, 3063, 3381, 256, 4179, 2517, 2998, 334, 3052, 331, 12458, 278, 20142, 293, 310, 8081, 5131, 20861, 338, 4179, 2517, 4178, 269, 24038, 340, 696, 583, 3645, 338, 2593, 23995, 648, 270, 634, 1655, 3838, 1357, 16475, 5291, 2517, 4178, 269, 19990, 10676, 2593, 270, 10177, 1188, 270, 24038, 340, 696, 583, 3645, 338, 270, 4427, 18285, 547, 5426, 5455, 1160, 585, 3063, 2934, 256, 4179, 2517, 4178, 269, 24038, 340, 696, 583, 3645, 338, 2593, 23995, 648, 9706, 20094, 24579, 4427, 18285, 547, 519, 5426, 5455, 5240, 12072, 5291, 2517, 324, 788, 14766, 2593, 12458, 310, 329, 294, 345, 1677, 8081, 5426, 5455, 570, 7491, 281, 5291, 2517, 24038, 340, 696, 7491, 2593, 7933, 517, 725, 11822, 6531, 16475, 267, 3710, 585, 9367, 12727, 4179, 2517, 4178, 6155, 580, 1388, 334, 4117, 2593, 270, 286, 10915, 13892, 284, 6858, 274, 6872, 272, 10619, 321, 6021, 324, 12706, 1927, 281, 27707, 24248, 2882, 27707, 23789, 2359, 267, 3009, 8039, 267, 3390, 9477, 267, 530, 1731, 529, 267, 543, 811, 267, 7132, 27707, 24248, 16275, 267, 606, 2653, 3562, 14025, 6024, 5610, 543, 17293, 1907, 269, 13773, 909, 3562, 15082, 281, 11622, 622, 609, 707, 2319, 1210, 2152, 267, 19325, 267, 543, 1899, 8386, 11060, 3009, 2689, 269, 7348, 2534, 12535, 540, 3785, 610, 519, 1004, 596, 960, 609, 269, 1773, 904, 1134, 609, 1866, 281, 27707, 24248, 16900, 26779, 609, 6215, 871, 267, 31177, 23298, 267, 31298, 4338, 267, 808, 296, 6938, 267, 23514, 9469, 267, 543, 1082, 824, 2442, 2645, 269, 27707, 24248, 2882, 1082, 1357, 327, 23697, 543, 3091, 513, 2347, 16286, 269, 27707, 24248, 7991, 9990, 568, 1930, 2707, 543, 4625, 1863, 547, 4647, 269, 27707, 24248, 568, 13324, 676, 513, 2146, 540, 811, 982, 476, 272, 267, 1822, 1004, 269, 27707, 24248, 27617, 9990, 3091, 4514, 31298, 4338, 543, 15765, 30615, 5610, 267, 808, 4275, 543, 23514, 9469, 5610, 267, 543, 1454, 811, 563, 21366, 281, 476, 14138, 5379, 280, 5426, 10000, 307, 7491, 454, 1692, 547, 9399, 295, 538, 547, 707, 9791, 10676, 10055, 9791, 10676, 3095, 2433, 4179, 2517, 4178, 269, 19990, 10676, 2593, 270, 10177, 1188, 7933, 517, 933, 2125, 565, 583, 976, 270, 1280, 519, 3483, 540, 713, 5850, 267, 594, 786, 581, 856, 2391, 3268, 547, 1246, 538, 1931, 547, 1711, 9399, 295, 1569, 538, 547, 707, 4544, 3984, 7746, 269, 4107, 3838, 16475, 13763, 543, 524, 32292, 601, 6589, 1522, 723, 1360, 2147, 3268, 547, 22738, 950, 2870, 9399, 295, 1569, 269, 1809, 1832, 538, 2247, 602, 713, 5850, 270, 2376, 568, 1808, 547, 9791, 10676, 269, 8073, 9399, 295, 6206, 593, 9791, 10676, 769, 1931, 547, 1569, 707, 7746, 1210, 513, 12363, 6885, 269, 1411, 991, 547, 31329, 5512, 9399, 295, 1569, 593, 707, 2272, 269, 17692, 596, 1378, 513, 3838, 16475, 2272, 609, 9791, 10676, 621, 568, 1271, 602, 596, 1289, 1315, 2661, 10004, 609, 9791, 10676, 1489, 538, 1931, 585, 873, 547, 5512, 9399, 295, 1569, 547, 707, 7746, 269, 4495, 9399, 295, 1569, 568, 13087, 596, 666, 798, 519, 1739, 269, 476, 272, 269, 8298, 538, 547, 707, 9791, 10676, 6513, 19937, 476, 273, 269, 8437, 593, 11628, 3296, 267, 547, 1569, 707, 524, 32292, 601, 21686, 4580, 269, 476, 274, 269, 8437, 9399, 295, 7457, 896, 519, 8232, 21741, 476, 275, 269, 8437, 593, 28509, 9399, 295, 32368, 476, 276, 269, 8437, 1341, 2637, 4733, 513, 1715, 6206, 513, 269, 12315, 519, 1883, 513, 8745, 536, 269, 8073, 513, 16200, 10426, 5320, 524, 269, 6206, 1826, 23680, 9949, 1871, 630, 681, 6347, 264, 546, 269, 6206, 12025, 23680, 9949, 1871, 630, 14225, 279, 264, 552, 269, 8437, 2637, 4733, 6206, 476, 277, 269, 4495, 519, 6206, 568, 2813, 4945, 593, 519, 979, 7982, 7735, 547, 2132, 547, 9399, 295, 1292, 2985, 476, 278, 269, 8564, 519, 9241, 2813, 9399, 295, 5398, 6206, 513, 269, 1411, 786, 5469, 621, 568, 711, 8191, 1242, 476, 279, 269, 8191, 1125, 519, 9399, 295, 1883, 676, 14467, 593, 28509, 476, 280, 269, 8437, 8191, 1125, 7735, 547, 19334, 519, 1883, 476, 1015, 269, 4495, 519, 6206, 568, 15181, 6330, 1394, 547, 519, 9399, 295, 1292, 2985, 476, 1556, 269, 13782, 622, 547, 17721, 32368, 3296, 476, 1321, 269, 8564, 7348, 270, 12606, 585, 519, 6206, 596, 2813, 476, 1724, 269, 4495, 3330, 519, 1883, 2985, 267, 596, 786, 581, 2016, 606, 4781, 547, 6460, 519, 1883, 547, 513, 26076, 298, 3898, 513, 269, 22417, 519, 968, 17395, 312, 2793, 10933, 892, 1883, 547, 26076, 298, 3898, 281, 536, 269, 9373, 519, 1780, 874, 19189, 547, 12260, 519, 968, 17395, 312, 2793, 10933, 892, 1883, 585, 7503, 946, 519, 10426, 5320, 950, 2870, 519, 9399, 295, 1883, 524, 269, 8437, 22417, 546, 269, 4495, 519, 6206, 568, 10736, 596, 666, 4647, 621, 676, 14467, 593, 519, 8281, 7735, 2422, 623, 7473, 31159, 1315, 610, 2147, 12363, 547, 1569, 9399, 295, 1280, 519, 3483, 540, 713, 5850, 649, 786, 946, 2322, 1399, 269, 1403, 596, 991, 547, 4647, 2322, 1399, 267, 596, 666, 946, 519, 3095, 2630, 547, 4647, 2322, 1399, 689, 741, 3312, 7746, 269, 476, 272, 269, 7046, 2322, 1399, 6885, 476, 273, 269, 20283, 1739, 1344, 513, 269, 8713, 534, 601, 2974, 20713, 536, 269, 21118, 4067, 610, 7379, 2232, 540, 7746, 2433, 1411, 666, 3277, 547, 519, 3381, 1657, 547, 12398, 713, 1344, 524, 269, 9373, 7379, 2232, 610, 3984, 4067, 546, 269, 8564, 9399, 295, 552, 269, 5800, 476, 2420, 476, 274, 269, 2201, 519, 2451, 1688, 10624, 1852, 2824, 9399, 295, 4781, 896, 12164, 301, 4488, 3582, 476, 275, 269, 8437, 27483, 295, 4781, 476, 276, 269, 25873, 547, 519, 22434, 1883, 4087, 267, 2824, 519, 6206, 269, 476, 277, 269, 8437, 7046, 476, 278, 269, 8838, 1308, 2433, 596, 666, 4688, 707, 9399, 295, 9623, 547, 2322, 1399, 267, 3277, 547, 3381, 1657, 585, 811, 1344, 476, 279, 269, 901, 786, 1930, 519, 12363, 6885, 513, 269, 9373, 9791, 10676, 524, 32292, 601, 2974, 20713, 536, 269, 3973, 621, 786, 2307, 585, 519, 10957, 585, 519, 6206, 596, 2813, 524, 269, 1403, 782, 519, 1344, 568, 9411, 7157, 267, 596, 786, 1631, 723, 9399, 295, 1569, 547, 707, 9791, 10676, 18218, 563, 21366, 281, 476, 12293, 271, 5213, 5680, 10298, 454, 30681, 5455, 19507, 15211, 596, 998, 519, 1184, 540, 4259, 909, 513, 1857, 270, 1440, 10675, 1883, 6292, 602, 596, 666, 946, 547, 2845, 538, 547, 9399, 295, 13763, 689, 12910, 1400, 269, 3487, 476, 272, 540, 476, 273, 563, 21366, 281, 476, 2735, 11011, 8834, 5455, 19507, 454, 290, 6759, 15879, 1609, 762, 1356, 19448, 598, 1410, 18059, 9399, 295, 679, 12380, 598, 804, 1511, 1857, 320, 269, 2382, 531, 541, 10741, 3333, 679, 1849, 1304, 324, 630, 32602, 297, 2752, 302, 264, 521, 30186, 31390, 2006, 910, 306, 10741, 3333, 2382, 531, 541, 521, 3333, 679, 4419, 573, 528, 630, 31690, 5060, 631, 19860, 1040, 521, 30186, 19038, 268, 1326, 3888, 521, 3333, 4534, 11511, 541, 804, 1511, 5398, 320, 26905, 630, 523, 3288, 12103, 638, 2088, 1642, 7817, 324, 2494, 329, 16619, 264, 521, 3333, 268, 4486, 2102, 910, 339, 678, 21542, 521, 3333, 268, 4486, 2102, 910, 331, 341, 910, 325, 7329, 318, 3464, 320, 4877, 889, 30771, 597, 3288, 804, 1511, 1857, 320, 1642, 7817, 324, 620, 1530, 341, 573, 528, 15301, 31690, 5060, 631, 842, 264, 1269, 1087, 327, 2275, 4878, 268, 573, 910, 328, 7329, 318, 3464, 320, 4877, 889, 1496, 16942, 6870, 28488, 7709, 590, 1197, 264, 6428, 16997, 9941, 291, 520, 595, 11862, 454, 21366, 281, 476, 9873, 9941, 291, 520, 595, 11862, 454, 1103, 713, 5124, 30622, 24546, 20861, 267, 649, 786, 581, 1565, 875, 547, 11766, 938, 3498, 547, 513, 12380, 18218, 689, 15072, 1210, 6931, 1712, 269, 1403, 596, 1131, 899, 1269, 736, 540, 1863, 5491, 2509, 513, 6931, 1712, 2272, 267, 1287, 596, 666, 946, 1250, 3095, 1934, 547, 1129, 909, 281, 4179, 2517, 4802, 1712, 2593, 11305, 648, 903, 577, 29195, 1284, 786, 581, 8720, 519, 3003, 17293, 540, 513, 30622, 24546, 3498, 269, 901, 2882, 18343, 909, 513, 1007, 12380, 18218, 543, 9395, 2287, 922, 3354, 609, 9399, 295, 10569, 543, 3595, 31486, 269, 3973, 649, 786, 3888, 28833, 543, 3525, 318, 16703, 22835, 865, 602, 649, 666, 1205, 938, 30622, 24546, 2561, 4881, 269, 2913, 781, 1205, 3323, 1862, 1677, 18178, 519, 7746, 14764, 267, 7914, 547, 476, 3066, 281, 1556, 1215, 547, 14840, 12380, 20324, 1662, 593, 8837, 281, 4179, 2517, 344, 719, 340, 269, 2041, 24474, 345, 326, 342, 291, 2041, 278, 325, 334, 304, 9399, 295, 6206, 15369, 24956, 1709, 20861, 281, 4179, 2517, 344, 719, 340, 269, 2041, 23218, 335, 330, 318, 272, 326, 671, 302, 20067, 9399, 295, 32368, 593, 8837, 281, 4179, 2517, 4178, 269, 4802, 1712, 2593, 7933, 665, 338, 270, 9798, 270, 2246, 5782, 1709, 270, 2224, 1790, 3016, 268, 4486, 22052, 5782, 1709, 2914, 603, 268, 1087, 327, 270, 258, 13388, 3298, 28833, 8848, 1031, 538, 713, 3381, 281, 4179, 2517, 326, 603, 889, 2593, 14727, 648, 344, 5960, 577, 29195, 11305, 1712, 5334, 333, 2089, 1115, 270, 4565, 984, 8276, 2120, 22230, 329, 24546, 318, 7922, 690, 4882, 333, 2089, 1115, 7933, 329, 24546, 318, 2889, 915, 269, 20813, 32273, 483, 8081, 3733, 19305, 3414, 4793, 516, 517, 281, 4179, 2517, 4178, 4877, 11128, 517, 2593, 11305, 648, 344, 916, 32273, 483, 28161, 513, 19305, 16588, 281, 4179, 2517, 4178, 28938, 2593, 270, 577, 14128, 270, 308, 6717, 14162, 296, 326, 290, 9032, 303, 341, 308, 340, 305, 275, 14682, 321, 293, 5825, 276, 326, 10768, 7765, 32273, 483, 2290, 6874, 830, 2552, 9084, 3414, 9796, 21595, 281, 4179, 2517, 2998, 334, 3052, 331, 270, 5038, 280, 295, 293, 312, 32273, 483, 31427, 5213, 725, 281, 11670, 9546, 2280, 910, 476, 274, 6573, 295, 279, 334, 312, 273, 12788, 326, 321, 299, 309, 344, 278, 305, 13696, 514, 342, 322, 289, 660, 1375, 328, 278, 336, 324, 294, 274, 21578, 9546, 2280, 910, 476, 271, 343, 14681, 5038, 280, 275, 1240, 277, 1626, 6187, 279, 325, 289, 5379, 290, 3374, 280, 3199, 279, 4343, 272, 278, 1015, 272, 323, 274, 321, 7374, 3451, 700, 924, 8314, 9546, 2280, 910, 12463, 341, 292, 289, 312, 276, 325, 343, 294, 14790, 303, 304, 326, 665, 325, 297, 321, 343, 303, 277, 10387, 2414, 276, 308, 308, 311, 300, 582, 32273, 483, 11759, 344, 781, 5398, 8835, 654, 880, 4289, 5291, 2517, 320, 16691, 30032, 296, 344, 549, 272, 32273, 483, 16811, 594, 2422, 543, 7734, 594, 24805, 281, 4179, 2517, 4178, 269, 600, 7571, 2593, 270, 3333, 641, 11305, 648, 903, 577, 29195, 19065, 370, 20804, 1411, 2052, 4855, 2725, 2201, 281, 3733, 19534, 910, 5291, 2517, 14537, 344, 916, 2593, 270, 3733, 5822, 19305, 910, 4179, 2517, 4178, 28938, 2593, 11305, 11305, 648, 344, 916, 577, 29195, 9365, 910, 4179, 2517, 4178, 269, 2183, 1504, 2593, 14727, 648, 344, 5960, 577, 29195, 12108, 910, 4179, 2517, 13512, 7867, 2593, 14727, 648, 344, 5960, 577, 29195, 17749, 910, 4179, 2517, 4178, 269, 13318, 8183, 2593, 11305, 648, 344, 916, 577, 29195, 270, 1948, 23911, 1948, 291, 329, 24546, 454, 21366, 281, 476, 3607, 277, 2918, 11759, 344, 5576, 29195, 454, 21366, 281, 476, 10482, 11011, 26573, 13879, 454, 307, 583, 3645, 11744, 875, 547, 19022, 606, 29974, 31583, 18016, 1240, 269, 6860, 7746, 547, 6461, 6510, 7218, 609, 1857, 1883, 17452, 3079, 540, 10957, 17452, 563, 21366, 281, 476, 9834, 10793, 14465, 3570, 8061, 454, 6624 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 717, 339, 331, 273, 23692, 322, 11748, 609, 519, 14774, 667, 331, 330, 272, 27446, 630, 8993, 476, 272, 288, 267, 476, 272, 289, 543, 476, 272, 293, 264, 1496, 2190, 267, 9262, 4940, 2290, 7271, 585, 7636, 3391, 1599, 568, 998, 519, 23692, 322, 11748, 1818, 3346, 609, 1808, 3077, 6090, 538, 2468, 14658, 23692, 322, 11748, 5937, 2793, 1700, 19091, 5250, 269, 769, 3623, 4815, 11236, 538, 519, 1480, 723, 7000, 3875, 2468, 14658, 268, 14127, 5027, 1532, 4193, 4609, 1369, 29501, 539, 23692, 322, 23978, 543, 3077, 4609, 693, 3260, 619, 540, 29501, 539, 6090, 267, 1519, 519, 3642, 305, 301, 23692, 322, 11748, 547, 519, 594, 24427, 273, 305, 267, 590, 9448, 2420, 288, 273, 267, 543, 590, 9448, 2420, 288, 274, 3260, 619, 282, 519, 670, 866, 23692, 322, 11748, 547, 2789, 594, 24427, 273, 3260, 619, 282, 543, 519, 918, 290, 301, 304, 272, 5588, 272, 23692, 322, 11748, 547, 5216, 29501, 539, 5444, 3260, 619, 538, 519, 6389, 1547, 769, 519, 10856, 267, 2789, 5027, 1532, 4193, 4609, 1369, 519, 715, 525, 335, 553, 23692, 322, 11748, 723, 10567, 2468, 14658, 5250, 693, 20083, 3077, 4609, 693, 519, 715, 525, 335, 267, 717, 19063, 343, 331, 267, 543, 717, 19063, 3260, 619, 1547, 1280, 519, 1480, 717, 26950, 273, 29501, 539, 6389, 267, 519, 6281, 2497, 540, 538, 20117, 268, 543, 608, 24155, 1790, 22004, 717, 26950, 273, 23692, 322, 11748, 630, 32191, 476, 272, 267, 7785, 562, 339, 264, 814, 1044, 25528, 585, 3391, 1599, 1547, 634, 3810, 11295, 267, 717, 26950, 273, 23692, 322, 11748, 19299, 693, 2547, 2947, 10717, 7293, 2609, 1519, 2468, 14658, 268, 14127, 5027, 1532, 4193, 4609, 538, 7293, 14953, 594, 543, 1079, 11553, 290, 273, 11006, 4609, 585, 661, 313, 295, 273, 543, 24639, 313, 1321, 538, 7293, 14953, 8633, 1547, 476, 274, 291, 9781, 540, 519, 5027, 1700, 11748, 2468, 14658, 538, 14953, 594, 543, 11553, 290, 273, 543, 23692, 322, 11748, 538, 14953, 8633, 1747, 873, 538, 2673, 16133, 267, 11021, 602, 789, 957, 538, 13447, 547, 14892, 670, 274, 298, 2767, 1889, 274, 14842, 540, 6985, 11294, 269, 1717, 267, 607, 1655, 649, 666, 2995, 267, 29501, 539, 6090, 1369, 519, 717, 339, 331, 273, 29501, 539, 6389, 723, 711, 1044, 12290, 585, 2468, 14658, 3077, 4609, 563, 763, 1599, 540, 23692, 322, 23978, 7674, 607, 10274, 3762, 1930, 1082, 14222, 2055, 269, 3657, 972, 23692, 322, 11748, 1808, 9696, 610, 476, 273, 291, 543, 5924, 476, 274, 291, 7293, 4170, 585, 10451, 2468, 14658, 5250, 543, 585, 1110, 8595, 1950, 4205, 286, 9050, 11553, 290, 273, 5946, 630, 292, 313, 295, 273, 267, 661, 3633, 267, 24639, 313, 1321, 267, 543, 589, 292, 21990, 273, 264, 723, 1634, 10717, 1532, 4193, 19206, 1496, 10844, 1700, 4817, 316, 609, 1164, 23506, 547, 717, 6709, 611, 745, 14658, 525, 1547, 1677, 19671, 519, 10717, 547, 6985, 11294, 543, 1287, 3077, 11553, 290, 273, 547, 1808, 3077, 4525, 267, 568, 10717, 1700, 19091, 2468, 14658, 5250, 2838, 538, 14966, 609, 11553, 290, 273, 11006, 547, 10717, 286, 1684, 824, 6985, 11294, 22212, 23838, 849, 12622, 23692, 322, 23978, 538, 513, 2147, 6752, 286, 1306, 2789, 11006, 4609, 1369, 513, 23692, 322, 11748, 5447, 609, 1114, 3077, 4609, 1369, 606, 29501, 539, 6389, 267, 1281, 713, 28173, 2789, 12215, 540, 519, 29501, 539, 23692, 322, 11748, 547, 3077, 29501, 539, 5444, 3260, 619, 610, 1281, 519, 476, 274, 291, 2497, 540, 519, 23692, 322, 11748, 543, 540, 6985, 11294, 5512, 513, 2582, 23692, 322, 11748, 547, 5447, 609, 543, 16563, 2789, 3260, 619, 8195, 286, 769, 2901, 2013, 267, 1281, 2530, 610, 13779, 609, 835, 3077, 5311, 8195, 1764, 519, 12972, 543, 3623, 9760, 540, 824, 3077, 4609, 888, 3412, 2745, 539, 23692, 322, 23978, 607, 1232, 9081, 454, 5194, 1599, 11911, 547, 23692, 322, 23978, 568, 602, 540, 513, 7636, 1232, 1195, 269, 5463, 1195, 1599, 568, 4330, 676, 23692, 322, 23978, 9117, 607, 513, 16173, 610, 26703, 547, 3524, 6856, 5946, 2476, 689, 513, 3077, 3135, 630, 8993, 476, 273, 295, 1040, 901, 1223, 1331, 16606, 2188, 267, 15202, 5946, 267, 521, 2364, 532, 2188, 267, 543, 6985, 11294, 22212, 5946, 610, 23838, 1496, 4037, 267, 10602, 4940, 2311, 519, 717, 339, 331, 273, 29501, 539, 6389, 267, 519, 717, 339, 331, 273, 23692, 322, 11748, 949, 1599, 607, 513, 1232, 1195, 630, 8993, 476, 272, 293, 1040, 769, 11536, 2281, 267, 19046, 7514, 7370, 543, 27090, 2281, 267, 519, 14774, 717, 339, 331, 273, 594, 10135, 3771, 26092, 606, 2573, 22083, 15040, 543, 7472, 19915, 27399, 2573, 22083, 31286, 607, 1134, 607, 25907, 589, 13697, 274, 630, 28425, 275, 22077, 17307, 273, 1920, 4759, 476, 274, 1040, 589, 13697, 274, 568, 513, 4295, 5057, 540, 519, 24101, 699, 14075, 566, 1950, 602, 16881, 606, 3742, 6985, 11294, 1533, 543, 8992, 16606, 540, 519, 4874, 322, 626, 3055, 717, 339, 331, 273, 2741, 13973, 1496, 2190, 267, 9032, 4940, 634, 717, 339, 331, 273, 23692, 322, 11748, 267, 538, 2490, 267, 949, 957, 607, 513, 1232, 1195, 585, 519, 717, 339, 331, 273, 594, 10135, 267, 4509, 922, 3742, 6985, 11294, 1533, 1496, 9032, 267, 7176, 4940, 901, 568, 6462, 676, 11553, 290, 273, 543, 808, 2752, 2839, 273, 4205, 609, 519, 717, 339, 331, 273, 23692, 322, 11748, 630, 6518, 24716, 609, 4617, 11006, 676, 661, 313, 295, 273, 543, 808, 2752, 2839, 273, 543, 519, 3668, 540, 24639, 313, 1321, 543, 670, 274, 298, 2767, 1889, 274, 23918, 693, 519, 14774, 717, 339, 331, 273, 594, 10135, 264, 1496, 6434, 267, 4200, 4940, 16270, 14774, 717, 339, 331, 273, 3260, 518, 32280, 267, 717, 339, 331, 273, 23692, 322, 11748, 4082, 568, 27618, 267, 3056, 547, 2799, 661, 313, 295, 273, 11006, 693, 519, 717, 339, 331, 273, 594, 10135, 1547, 5015, 267, 1739, 26442, 327, 273, 267, 661, 539, 267, 543, 808, 541, 573, 273, 32280, 267, 519, 14774, 717, 339, 331, 273, 594, 10135, 568, 13026, 676, 667, 301, 21587, 274, 288, 543, 667, 301, 21587, 274, 299, 543, 3587, 632, 18051, 334, 18861, 730, 1496, 9032, 267, 7176, 4940, 8625, 267, 519, 1239, 2303, 602, 519, 717, 339, 331, 273, 23692, 322, 11748, 25998, 609, 808, 2752, 2839, 273, 543, 11553, 290, 273, 547, 11574, 661, 313, 295, 273, 18861, 10520, 2536, 848, 2534, 543, 667, 301, 21587, 274, 288, 270, 274, 299, 19684, 693, 519, 14774, 717, 339, 331, 273, 594, 10135, 563, 2467, 616, 1082, 14222, 2055, 827, 23692, 322, 11748, 1232, 1195, 1599, 269, 1306, 513, 7636, 1232, 1195, 267, 23692, 322, 23978, 949, 2226, 519, 594, 10135, 538, 606, 3742, 1533, 543, 693, 519, 1482, 942, 267, 519, 3742, 594, 10135, 1463, 338, 23692, 322, 11748, 4082, 269, 1548, 8060, 713, 7805, 5955, 8520, 286, 1215, 11630, 568, 519, 3742, 594, 10135, 547, 15088, 538, 23692, 322, 11748, 2157, 286, 1772, 1232, 1195, 1599, 25358, 3842, 10717, 1532, 4193, 5946, 286, 1548, 568, 519, 2078, 1063, 4617, 543, 2178, 6985, 11294, 1110, 8595, 4205, 609, 6985, 11294, 543, 23692, 322, 23978, 286, 1403, 23692, 322, 23978, 957, 607, 1232, 9081, 547, 5707, 3433, 2476, 2318, 543, 2942, 9431, 5946, 267, 1018, 6127, 616, 538, 1747, 547, 3666, 1232, 1195, 8957, 824, 23692, 322, 11748, 1599, 971, 607, 21934, 1245, 1599, 888, 3412, 2745, 539, 23692, 322, 23978, 607, 1098, 2958, 22399, 454, 1103, 1840, 547, 29501, 539, 23692, 322, 23978, 5665, 538, 28250, 547, 10038, 4082, 540, 29501, 539, 6090, 1369, 741, 9757, 11890, 267, 29501, 539, 23692, 322, 23978, 849, 10038, 824, 6090, 610, 11890, 538, 1098, 1547, 13809, 543, 2744, 540, 670, 866, 23692, 322, 11748, 1599, 7369, 4082, 540, 29501, 539, 6090, 538, 519, 918, 322, 333, 336, 272, 582, 272, 267, 5794, 333, 267, 715, 525, 335, 553, 267, 543, 717, 339, 331, 273, 11890, 2073, 1247, 2530, 543, 21467, 343, 16054, 540, 519, 1480, 7379, 310, 23692, 322, 11748, 630, 5228, 519, 19301, 295, 294, 1691, 23692, 322, 11748, 264, 1291, 547, 2242, 538, 717, 26950, 273, 23692, 322, 11748, 267, 2890, 11748, 267, 543, 2879, 334, 23978, 538, 519, 717, 26950, 273, 6389, 1547, 2290, 3815, 602, 949, 3565, 547, 23692, 322, 23978, 1098, 1599, 568, 602, 29501, 539, 11890, 666, 897, 5914, 1125, 547, 519, 1482, 476, 274, 291, 6046, 2230, 1496, 9818, 267, 10441, 3910, 10451, 29501, 539, 5444, 5121, 2073, 1141, 4082, 540, 606, 29501, 539, 5444, 538, 835, 6389, 7506, 4082, 540, 29501, 539, 6090, 538, 824, 11890, 269, 2755, 25318, 610, 19654, 9431, 11444, 1223, 18549, 2272, 585, 891, 5532, 4082, 3270, 2073, 29501, 539, 23692, 322, 23978, 616, 2693, 547, 581, 2047, 2404, 609, 4205, 1063, 29501, 539, 11890, 269, 2060, 2463, 547, 1875, 574, 2745, 539, 6090, 267, 1312, 717, 339, 331, 273, 543, 670, 866, 23692, 322, 23978, 616, 3238, 538, 519, 7939, 540, 519, 15202, 13321, 2208, 3815, 16061, 630, 307, 24427, 268, 15512, 264, 13374, 1496, 11793, 267, 13040, 3910, 519, 1591, 12556, 654, 660, 270, 15512, 2275, 22760, 514, 13374, 1496, 10482, 267, 11820, 3910, 543, 519, 10510, 16401, 528, 533, 7871, 3210, 13374, 1496, 8099, 267, 9340, 4940, 15788, 267, 519, 1098, 268, 13905, 540, 891, 23692, 322, 23978, 1448, 547, 2901, 23692, 322, 11748, 21934, 1245, 610, 3391, 1599, 269, 1306, 513, 21934, 1245, 1599, 267, 519, 670, 866, 23692, 322, 11748, 25998, 609, 519, 27981, 2045, 1110, 8595, 18861, 4211, 335, 294, 1532, 4193, 6389, 3940, 476, 272, 630, 300, 9720, 272, 264, 543, 9072, 631, 9720, 272, 547, 29501, 539, 6090, 538, 1098, 267, 1110, 6819, 1065, 1833, 998, 670, 274, 298, 280, 1889, 274, 1547, 769, 513, 2147, 6752, 267, 7379, 310, 25998, 609, 661, 295, 21587, 273, 267, 24705, 2590, 670, 274, 298, 280, 1889, 274, 547, 519, 717, 339, 331, 273, 594, 10135, 1547, 634, 717, 339, 331, 273, 23692, 322, 11748, 25998, 609, 808, 2752, 2839, 273, 543, 11553, 290, 273, 267, 28068, 670, 274, 298, 2767, 1889, 274, 547, 5444, 9072, 3544, 540, 519, 717, 339, 331, 273, 6389, 1547, 1306, 23692, 322, 11748, 3391, 1599, 267, 6915, 514, 845, 1738, 11236, 540, 670, 866, 23692, 322, 11748, 1700, 19091, 2468, 14658, 11006, 4609, 538, 3425, 543, 8983, 4857, 3260, 518, 3077, 4609, 693, 2789, 29501, 539, 6090, 267, 1519, 16384, 325, 273, 337, 267, 717, 19063, 267, 667, 331, 330, 272, 267, 623, 1122, 272, 267, 543, 595, 323, 30893, 272, 322, 2073, 1247, 519, 1480, 717, 26950, 273, 23692, 322, 11748, 814, 5027, 2468, 14658, 11006, 4609, 602, 4786, 547, 2789, 11646, 17253, 3077, 4609, 538, 1312, 1480, 543, 10856, 1591, 3515, 1496, 13040, 267, 14625, 4940, 2755, 519, 6127, 540, 670, 866, 23692, 322, 11748, 7939, 540, 5444, 9072, 538, 1098, 2611, 547, 581, 4628, 19286, 730, 267, 519, 717, 339, 331, 273, 23692, 322, 11748, 1700, 19091, 2468, 14658, 3889, 949, 957, 1927, 609, 922, 11553, 290, 273, 1532, 4193, 18305, 547, 1110, 3634, 5444, 9072, 538, 1098, 4586, 2026, 7150, 1657, 267, 1082, 14222, 2055, 3823, 23692, 322, 11748, 21934, 1245, 543, 3391, 1599, 2611, 547, 581, 17251, 269, 2859, 4481, 585, 23692, 322, 11748, 1098, 1599, 267, 1018, 6127, 7500, 585, 29501, 539, 23692, 322, 23978, 547, 1265, 741, 9072, 286, 1772, 23692, 322, 11748, 1098, 1599, 693, 29501, 532, 5444, 5121, 543, 824, 1761, 9606, 10095, 4205, 2451, 547, 4351, 12205, 610, 616, 972, 3742, 6127, 547, 3077, 29501, 539, 23692, 322, 23978, 547, 2582, 5444, 3260, 619, 610, 547, 9606, 10095, 5121, 888, 28770, 3101, 3252, 540, 2022, 10520, 5296, 1308, 23692, 322, 23978, 454, 3412, 2745, 539, 23692, 322, 23978, 607, 2362, 19195, 3889, 454, 15238, 322, 23978, 616, 2111, 547, 16784, 883, 6281, 543, 24596, 2362, 19195, 476, 274, 291, 3889, 267, 1476, 1456, 873, 547, 519, 13540, 543, 12018, 741, 9431, 1599, 1547, 2755, 519, 6384, 540, 10717, 24208, 568, 606, 1271, 5057, 540, 1480, 717, 26950, 273, 23692, 322, 11748, 1599, 2073, 519, 5063, 4857, 24596, 2497, 540, 519, 717, 26950, 273, 23692, 322, 11748, 814, 8774, 1007, 1769, 593, 519, 2956, 540, 2362, 19195, 24596, 3889, 1547, 3371, 267, 3810, 24721, 18305, 1369, 519, 717, 26950, 273, 23692, 322, 11748, 2170, 547, 5352, 15554, 758, 2254, 3889, 267, 609, 1808, 17787, 18836, 532, 513, 7123, 476, 274, 291, 2497, 12462, 330, 1170, 532, 17787 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10171, 540, 598, 3256, 946, 538, 519, 6304, 1895, 267, 3448, 547, 519, 1852, 1895, 269, 634, 4589, 11943, 602, 7598, 9263, 21445, 7486, 2069, 3292, 538, 6281, 3506, 1223, 723, 1713, 2318, 2360, 593, 4638, 5615, 543, 7486, 6604, 1851, 538, 17469, 6107, 563, 301, 344, 4565, 1228, 267, 700, 1421, 4414, 11276, 267, 589, 1421, 25253, 1774, 267, 667, 1421, 1696, 620, 269, 15978, 5516, 630, 18550, 476, 1001, 278, 1070, 476, 3066, 630, 1556, 5148, 15793, 275, 268, 15389, 273, 267, 8222, 281, 476, 1015, 269, 10482, 271, 270, 271, 4817, 25002, 2641, 269, 1001, 278, 269, 9873, 8064, 273, 273, 563, 1607, 1353, 8947, 3023, 960, 23938, 16663, 689, 1072, 1416, 4600, 630, 18449, 310, 338, 264, 9859, 4724, 5256, 543, 4775, 3023, 4600, 630, 5960, 310, 338, 543, 674, 14684, 338, 264, 543, 519, 1764, 540, 16663, 593, 19718, 540, 7486, 13508, 543, 4152, 630, 295, 6311, 264, 2533, 543, 1875, 6953, 4353, 268, 8234, 5829, 2533, 269, 589, 2698, 540, 476, 5392, 278, 674, 14684, 338, 543, 476, 22446, 9049, 310, 338, 941, 26906, 538, 2185, 17521, 2066, 15057, 269, 21009, 540, 519, 5171, 4080, 24584, 547, 581, 588, 25634, 1242, 676, 606, 31125, 310, 538, 519, 2250, 476, 1321, 3275, 269, 15907, 3368, 540, 674, 14684, 338, 543, 9049, 310, 338, 4080, 7680, 11913, 16663, 689, 31125, 310, 338, 282, 476, 7761, 2600, 540, 674, 14684, 338, 543, 476, 7918, 2600, 540, 9049, 310, 338, 4080, 7680, 1022, 1106, 540, 16663, 269, 9049, 310, 338, 543, 674, 14684, 338, 945, 4810, 16663, 941, 811, 2693, 547, 2057, 670, 6311, 543, 2367, 941, 849, 811, 2693, 547, 8488, 670, 6311, 269, 674, 14684, 338, 543, 9049, 310, 338, 945, 4810, 16663, 941, 811, 2693, 547, 8488, 1875, 6953, 4353, 268, 8234, 5829, 2533, 267, 543, 674, 14684, 338, 945, 17191, 16663, 941, 811, 2693, 547, 2057, 1875, 6953, 4353, 268, 8234, 5829, 2533, 269, 634, 4589, 11943, 602, 5466, 31125, 310, 338, 262, 16663, 4724, 1883, 5095, 568, 2565, 547, 8236, 519, 3804, 540, 2348, 476, 3445, 2600, 540, 782, 1004, 917, 741, 7486, 4567, 563, 3891, 742, 1258, 267, 681, 1421, 774, 1682, 517, 267, 918, 1421, 22966, 636, 267, 595, 1421, 1696, 620, 269, 15978, 543, 10263, 630, 20826, 476, 1001, 278, 1070, 8222, 281, 476, 1015, 269, 1911, 278, 4882, 10441, 8618, 268, 30203, 268, 5002, 273, 268, 278, 563, 1607, 1353, 8947, 12680, 13821, 267, 6379, 11841, 267, 946, 540, 1884, 790, 339, 22201, 12637, 3797, 630, 11286, 264, 543, 840, 7721, 17068, 605, 29091, 9471, 630, 7468, 7968, 1070, 543, 7486, 6771, 1282, 6379, 1851, 476, 272, 267, 25320, 1583, 617, 4593, 867, 656, 15185, 538, 15057, 543, 24063, 269, 634, 5354, 540, 15185, 630, 3199, 2600, 264, 4080, 16462, 547, 723, 1453, 538, 519, 2104, 543, 476, 280, 2600, 4080, 8362, 3843, 547, 1831, 9176, 282, 476, 2004, 2600, 540, 2021, 941, 711, 1210, 1022, 1106, 540, 15333, 4003, 269, 21676, 1255, 4080, 2348, 3023, 513, 11667, 540, 2947, 2053, 10865, 282, 476, 5038, 2600, 4080, 2348, 3023, 1510, 513, 598, 3256, 693, 2547, 2899, 538, 519, 2250, 3923, 269, 26579, 11841, 729, 476, 1240, 269, 276, 270, 1911, 1268, 26188, 585, 7486, 24308, 2021, 267, 543, 476, 1240, 269, 278, 270, 1911, 1268, 26188, 585, 7486, 25698, 2021, 269, 715, 27197, 2600, 540, 2021, 593, 26353, 1185, 1164, 15984, 269, 769, 519, 3670, 3275, 1991, 547, 17748, 267, 476, 11025, 269, 280, 2600, 540, 15185, 1031, 26353, 610, 2398, 7968, 9846, 267, 476, 1691, 269, 276, 2600, 1031, 26353, 610, 2398, 7968, 12150, 569, 267, 543, 476, 273, 269, 277, 2600, 1705, 711, 946, 4376, 269, 7324, 5812, 3755, 267, 476, 4029, 269, 278, 2600, 1031, 1312, 2398, 7968, 543, 26353, 267, 476, 2641, 269, 278, 2600, 1152, 1031, 2398, 7968, 267, 543, 476, 5379, 269, 277, 2600, 1152, 1031, 26353, 269, 1703, 941, 1100, 1583, 27019, 951, 687, 538, 519, 3670, 3275, 1991, 547, 6379, 282, 1282, 6379, 267, 1614, 2021, 543, 835, 812, 941, 8995, 609, 7486, 269, 2290, 540, 519, 2021, 4080, 519, 6379, 607, 796, 680, 10165, 543, 1185, 1100, 3713, 762, 4557, 1993, 990, 597, 2157, 269, 634, 4589, 11943, 602, 10128, 4638, 543, 10285, 1072, 543, 7486, 6604, 2533, 666, 2743, 519, 2115, 540, 1583, 617, 4593, 867, 656, 15185, 945, 6999, 547, 32230, 563, 306, 663, 3228, 267, 570, 14371, 8160, 1421, 12928, 2135, 267, 808, 10611, 1421, 1325, 5632, 320, 267, 595, 1421, 1696, 620, 269, 4750, 540, 21733, 1600, 21210, 4347, 11351, 5204, 526, 27689, 630, 19751, 476, 1001, 278, 1070, 10602, 281, 552, 4097, 3887, 5379, 563, 1607, 9836, 2689, 540, 476, 6924, 2090, 8947, 12205, 1063, 6219, 946, 543, 7486, 1851, 2367, 945, 723, 3023, 609, 2367, 630, 5960, 300, 264, 538, 1016, 25781, 4000, 269, 8307, 835, 540, 5216, 2090, 10503, 4568, 946, 1336, 1022, 3095, 1063, 4568, 946, 543, 7486, 3968, 267, 1498, 538, 835, 1353, 4568, 4616, 729, 5768, 3373, 2404, 609, 2539, 840, 7721, 17068, 605, 29091, 9471, 15984, 269, 2290, 1353, 1336, 602, 4568, 4616, 729, 2404, 609, 2799, 10171, 540, 3875, 19408, 5615, 267, 1519, 796, 31695, 1387, 26697, 267, 2789, 4638, 4891, 267, 543, 3668, 540, 7649, 23930, 269, 634, 8167, 540, 2367, 8989, 3023, 896, 519, 3310, 540, 4568, 24132, 689, 476, 5325, 269, 274, 2600, 538, 3162, 4000, 547, 476, 6507, 269, 276, 2600, 538, 15057, 269, 10684, 946, 543, 922, 7681, 609, 7486, 31030, 593, 519, 1826, 540, 3075, 267, 2436, 270, 6011, 621, 729, 22280, 267, 543, 7486, 9860, 269, 634, 8167, 540, 2367, 8989, 3075, 946, 24132, 689, 476, 278, 2600, 538, 519, 2250, 1032, 538, 13280, 547, 476, 8618, 269, 273, 2600, 538, 519, 2063, 1614, 3275, 538, 2098, 11961, 756, 541, 269, 7797, 539, 13297, 3075, 946, 24132, 689, 476, 272, 269, 275, 2600, 538, 15057, 547, 476, 1724, 269, 280, 2600, 538, 25157, 267, 543, 729, 2404, 609, 2348, 1079, 610, 811, 5256, 32615, 4891, 267, 1895, 3023, 267, 543, 2589, 540, 16770, 10299, 5563, 269, 634, 4589, 11943, 602, 2104, 7459, 585, 9049, 300, 1058, 581, 2796, 1302, 1759, 593, 2199, 4568, 543, 3075, 946, 2853, 543, 741, 3095, 547, 19408, 3023, 563, 297, 2002, 2136, 8315, 19510, 593, 7486, 25266, 269, 476, 1001, 278, 563, 1607, 31387, 2488, 5583, 585, 2477, 547, 17108, 7486, 6604, 2994, 547, 3914, 3084, 543, 2518, 3853, 547, 1439, 519, 3463, 540, 15978, 676, 519, 1032, 476, 10711, 271, 269, 634, 3561, 6212, 593, 519, 476, 1839, 2477, 609, 519, 5207, 15730, 543, 2937, 7486, 11841, 267, 543, 14592, 513, 1289, 585, 6608, 547, 1491, 1883, 3527, 267, 1519, 912, 268, 7309, 1227, 12570, 1883, 6604, 2115, 543, 7114, 3609, 543, 1982, 7496, 547, 3356, 563, 268, 15043, 610, 2847, 2358, 3084, 9072, 543, 4155, 332, 2355, 585, 6604, 476, 1708, 271, 563, 268, 10435, 12250, 2242, 547, 3986, 7486, 6604, 5718, 267, 23388, 267, 543, 2359, 563, 268, 28038, 3656, 543, 3609, 2242, 547, 1711, 606, 7175, 1604, 585, 6604, 563, 268, 15043, 3084, 5583, 267, 6304, 15004, 267, 543, 3028, 6765, 5867, 563, 268, 15043, 513, 19597, 730, 6604, 4390, 2679, 543, 2930, 6351, 1544, 563, 268, 16237, 28517, 3540, 2486, 6278, 543, 9750, 2146, 2861, 6114, 563, 268, 30487, 2139, 6604, 2200, 543, 3384, 513, 4640, 547, 2673, 2883, 10616, 563, 268, 26787, 543, 14304, 6604, 1982, 5464, 1949, 563, 268, 16237, 28517, 3084, 543, 3486, 12477, 585, 6604, 563, 763, 5583, 11363, 519, 2947, 6604, 22225, 281, 4999, 6604, 585, 15730, 6690, 270, 9767, 978, 2021, 543, 741, 4891, 543, 585, 1883, 5095, 282, 22541, 3084, 598, 3256, 543, 8965, 1689, 3292, 282, 17319, 2564, 5256, 4931, 17800, 282, 543, 840, 7721, 17068, 605, 29091, 9471, 269, 898, 849, 26564, 19647, 547, 4227, 1007, 7486, 5563, 676, 6608, 267, 3540, 2486, 267, 22881, 267, 543, 519, 1870, 2146, 563, 302, 323, 1195, 334, 11219, 2317, 267, 661, 1421, 3397, 582, 267, 918, 1421, 30421, 526, 267, 808, 8160, 1421, 1696, 620, 269, 4750, 540, 21733, 1600, 21210, 4347, 11351, 5204, 526, 27689, 630, 19751, 476, 1001, 278, 1070, 476, 1321, 263, 1015, 1070, 8222, 281, 476, 1015, 269, 15389, 272, 10768, 16067, 4877, 821, 269, 26289, 6812, 278, 273, 563, 1607, 1353, 538, 5689, 25596, 8947, 1981, 2188, 2404, 609, 7486, 3968, 543, 5462, 952, 1981, 2188, 941, 2404, 609, 7486, 1981, 8226, 543, 5855, 1851, 15730, 6690, 543, 1762, 2021, 630, 8980, 312, 310, 264, 6502, 476, 1428, 1700, 2190, 269, 5178, 5202, 12220, 941, 22412, 730, 1851, 17985, 312, 310, 19801, 538, 513, 21756, 5295, 1353, 269, 7324, 519, 476, 272, 267, 1822, 6690, 267, 476, 3451, 4080, 1373, 7486, 25698, 282, 476, 7597, 2600, 4080, 2348, 513, 2942, 7486, 1449, 1369, 519, 2250, 3670, 3275, 282, 476, 1704, 2600, 4080, 2348, 513, 2942, 7486, 1449, 936, 3670, 3275, 4505, 282, 543, 476, 1691, 2600, 1185, 2760, 1044, 7318, 269, 634, 1353, 4857, 1896, 2188, 2404, 609, 7486, 3968, 267, 1519, 2348, 1100, 4881, 1216, 267, 2348, 3023, 609, 1614, 610, 811, 4891, 538, 519, 2250, 1032, 267, 543, 6704, 8185, 269, 11109, 811, 7486, 1981, 2188, 729, 2404, 609, 2362, 1981, 8226, 543, 5855, 827, 7486, 269, 1717, 267, 1082, 17985, 312, 310, 945, 1185, 2789, 1981, 2188, 1705, 711, 13498, 2933, 547, 581, 693, 1981, 585, 24931, 7486, 543, 5924, 1705, 711, 5855, 827, 24931, 7486, 269, 634, 4589, 11943, 602, 621, 568, 2009, 547, 2697, 1346, 17985, 312, 310, 945, 616, 1034, 693, 1981, 585, 7486, 676, 6313, 7486, 5829, 1981, 2188, 269, 4495, 4857, 267, 891, 2021, 1058, 581, 6098, 585, 7486, 6604, 7459, 563, 25820, 267, 808, 11053, 1421, 25347, 6199, 267, 715, 9950, 1421, 11709, 13453, 267, 667, 269, 1696, 620, 269, 4750, 540, 21733, 1600, 21210, 4347, 11351, 5204, 526, 27689, 630, 324, 1790, 3016, 566, 6619, 540, 1820, 1070, 8222, 281, 1015, 269, 11820, 278, 270, 304, 9590, 1822, 1822, 1822, 1822, 14444, 278, 563, 1607, 1353, 8947, 519, 7145, 540, 10128, 8502, 2987, 527, 7007, 7486, 4152, 2533, 883, 12963, 1416, 693, 476, 3451, 6703, 538, 25472, 269, 634, 6304, 3769, 2146, 4656, 9870, 1210, 8498, 1072, 4600, 547, 2333, 3277, 23552, 585, 7486, 4152, 693, 1072, 6703, 269, 12502, 525, 941, 849, 8036, 547, 1449, 782, 1453, 896, 2947, 1296, 2025, 945, 1185, 2760, 4607, 7486, 4152, 2533, 267, 543, 782, 1453, 2630, 1079, 1296, 2025, 945, 1185, 513, 2942, 7486, 1449, 811, 982, 1614, 3275, 1991, 269, 2353, 2164, 941, 6592, 538, 1126, 1072, 1433, 7410, 269, 634, 2164, 4951, 602, 476, 4037, 2600, 540, 1453, 1185, 7486, 1344, 538, 741, 27412, 269, 2986, 891, 267, 5176, 476, 4281, 2600, 941, 7318, 543, 476, 10602, 2600, 1185, 606, 7486, 1449, 1267, 282, 476, 272, 269, 278, 2600, 941, 1336, 547, 581, 7486, 25698, 269, 5753, 941, 811, 2693, 547, 581, 7486, 25698, 952, 789, 941, 4731, 333, 712, 1639, 267, 941, 6534, 547, 21061, 267, 610, 1185, 606, 7486, 25698, 3993, 269, 634, 1297, 540, 1453, 7318, 585, 7486, 2799, 676, 476, 11463, 2600, 1282, 519, 6304, 1974, 282, 543, 519, 1297, 540, 8995, 607, 7486, 25698, 676, 476, 4649, 2600, 269, 634, 4589, 11943, 602, 10128, 7486, 4152, 1369, 513, 2647, 2039, 540, 12963, 1072, 2533, 568, 24276, 543, 4679, 519, 10171, 540, 513, 1126, 8391, 543, 7486, 1449, 543, 1373, 4857, 607, 7486, 25698, 563, 306, 756, 7701, 267, 661, 11482, 1421, 570, 636, 2313, 830, 267, 631, 1421, 631, 325, 26854, 267, 808, 1421, 1696, 620, 269, 634, 31102, 6820, 2657, 630, 20826, 476, 1001, 278, 1070, 476, 276, 281, 552, 3445, 278, 268, 1428, 563, 1607, 19747, 6417, 4693, 8947, 519, 19718, 540, 5985, 15185, 7486, 4152, 543, 7486, 5868, 3928, 538, 476, 6924, 25472, 534, 2950, 267, 9236, 5171, 945, 4607, 20430, 259, 272, 269, 2004, 4502, 540, 17365, 3688, 543, 5171, 945, 1705, 711, 4309, 15314, 269, 769, 519, 6304, 1895, 267, 476, 4649, 269, 278, 2600, 540, 5171, 7318, 609, 513, 7649, 267, 3379, 547, 1152, 476, 1015, 2600, 540, 512, 22246, 538, 519, 1852, 1895, 269, 27800, 2950, 1185, 2362, 7486, 13508, 543, 4152, 3928, 267, 543, 2362, 3928, 540, 7486, 5868, 267, 982, 1852, 2950, 269, 19893, 945, 7318, 609, 513, 7649, 941, 811, 2693, 982, 1346, 4152, 4805, 547, 723, 606, 7486, 25698, 5868, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 26015, 3590, 10025, 454, 273, 23030, 476, 1911, 9826, 9340, 6200, 9340, 9340, 1015, 454, 274, 570, 1716, 776, 476, 1911, 9083, 8099, 13136, 271, 454, 275, 2372, 15715, 776, 476, 1001, 28664, 18357, 273, 454, 276, 2372, 2435, 476, 6344, 23714, 15171, 454, 277, 7354, 776, 476, 14028, 26825, 1789, 454, 279, 4239, 531, 476, 21709, 277, 6507, 277, 454, 1015, 27252, 476, 4649, 277, 276, 5655, 454, 1321, 13660, 1712, 31565, 476, 2420, 320, 271, 320, 277, 454, 736, 966, 580, 525, 2711, 476, 4375, 321, 7761, 454, 3607, 12476, 3607, 536, 343, 25206, 692, 1012, 9978, 9273, 630, 333, 815, 476, 4649, 277, 276, 5655, 2020, 2162, 18527, 692, 333, 9943, 328, 454, 562, 9943, 273, 476, 9340, 28143, 275, 476, 14917, 280, 7830, 277, 476, 19442, 277, 1626, 279, 476, 30116, 27244, 271, 692, 2162, 10406, 692, 14269, 454, 562, 22397, 482, 273, 476, 30116, 27244, 476, 6977, 276, 1691, 476, 16928, 15793, 476, 9340, 28143, 692, 2162, 5890, 9426, 2747, 692, 14269, 454, 562, 273, 476, 29616, 278, 4343, 4200, 278, 278, 5038, 476, 15094, 4343, 273, 278, 8618, 27840, 6872, 273, 5400, 279, 476, 4817, 280, 4343, 273, 5379, 278, 3374, 279, 5325, 272, 280, 7597, 4200, 277, 9834, 476, 276, 3451, 280, 3607, 277, 4391, 16825, 277, 1240, 3583, 278, 14695, 271, 4366, 12208, 3953, 692, 2162, 715, 628, 17848, 692, 328, 18414, 333, 454, 476, 273, 18414, 333, 476, 278, 5379, 269, 30203, 476, 11025, 269, 14838, 278, 476, 2767, 269, 27123, 274, 476, 1691, 269, 6021, 277, 272, 692, 1012, 476, 4649, 277, 276, 5655, 607, 12166, 5546, 692, 2162, 17781, 692, 18924, 2678, 476, 272, 269, 13647, 5400, 324, 266, 6187, 476, 274, 269, 5392, 277, 10436, 324, 266, 6187, 476, 280, 269, 278, 1789, 10619, 324, 266, 1556, 692, 2162, 1975, 1877, 692, 11730, 476, 278, 269, 13136, 4037, 324, 266, 1704, 476, 274, 269, 8660, 273, 274, 324, 266, 1321, 476, 274, 269, 5392, 277, 10436, 324, 266, 6187, 692, 2162, 12384, 692, 21920, 815, 562, 454, 32309, 476, 273, 269, 26297, 1704, 324, 266, 6187, 476, 274, 269, 6021, 278, 4375, 324, 266, 1556, 476, 4281, 278, 6187, 280, 692, 2162, 28116, 692, 21920, 815, 562, 454, 17183, 1858, 476, 272, 269, 5952, 279, 6246, 324, 266, 1321, 476, 272, 269, 278, 2537, 10695, 324, 266, 1704, 476, 280, 8287, 4817, 280, 692, 2162, 4982, 10561, 21121, 692, 21920, 815, 562, 454, 32309, 476, 272, 269, 5780, 280, 8287, 324, 266, 6187, 476, 272, 269, 30130, 2641, 324, 266, 1556, 476, 4366, 272, 280, 3199, 692, 2162, 10222, 9771, 30958, 692, 21920, 815, 562, 454, 17183, 1858, 476, 276, 269, 3607, 275, 10019, 324, 266, 1556, 476, 273, 269, 31648, 4649, 324, 266, 1626, 476, 3393, 275, 25870, 692, 1012, 15303, 4919, 25300, 12793, 692, 30113, 276, 476, 7597, 274, 278, 1839, 275, 10623, 276, 323, 3607, 273, 2764, 324, 277, 324, 28766, 278, 1556, 3583, 273, 3374, 323, 272, 476, 277, 3374, 9536, 271, 3445, 22396, 274, 325, 6277, 742, 6434, 274, 323, 4792, 279, 279, 742, 3199, 324, 2918, 4206, 280, 6277, 271, 320, 271, 320, 476, 7742, 323, 4817, 2465, 25784, 276, 323, 866, 321, 272, 611, 736, 321, 6246, 324, 13923, 1708, 273, 659, 2041, 11463, 321, 278, 5655, 1015, 1030, 18891, 274, 322, 279, 576, 272, 325, 7597, 273, 279, 325, 22396, 321, 13005, 279, 4281, 276, 323, 1789, 324, 1960, 325, 274, 323, 276, 1704, 324, 6277, 280, 322, 278, 322, 1556, 629, 6434, 320, 6078, 323, 279, 1815, 271, 5038, 13199, 6858, 25900, 1839, 629, 4391, 321, 8064, 272, 273, 321, 7906, 324, 28664, 15996, 273, 25900, 6349, 742, 24241, 2412, 323, 14444, 10463, 321, 9536, 280, 321, 277, 8619, 7597, 277, 271, 323, 25900, 6734, 322, 2041, 3066, 1372, 9262, 277, 276, 325, 6187, 273, 16409, 2537, 742, 280, 536, 7906, 27219, 10037, 8619, 28318, 31430, 6349, 323, 273, 22396, 273, 539, 274, 325, 2378, 280, 325, 6434, 274, 325, 321, 271, 4510, 3953, 0, 258, 6715, 1537, 540, 630, 343, 268, 275, 19422, 343, 317, 273, 14870, 266, 273, 2020, 301, 545, 7637, 639, 692, 1012, 14581, 15048, 692, 7445, 2765, 12757, 268, 275, 2410, 343, 317, 273, 14870, 266, 273, 10592, 1012, 634, 28055, 693, 513, 8827, 692, 7445, 2765, 12757, 268, 275, 2410, 263, 343, 268, 272, 270, 273, 8203, 273, 266, 278, 270, 275, 21456, 340, 815, 1535, 910, 476, 272, 270, 273, 815, 4399, 2765, 3189, 6912, 346, 278, 12453, 273, 4151, 11927, 7445, 9064, 259, 6902, 5918, 815, 4399, 6912, 346, 278, 4151, 270, 273, 3813, 317, 273, 263, 9064, 994, 343, 815, 579, 1341, 476, 272, 270, 273, 454, 7445, 842, 21702, 18950, 340, 6629, 278, 270, 273, 264, 7268, 6912, 346, 278, 348, 270, 273, 5913, 317, 273, 7268, 9064, 20972, 278, 270, 275, 3813, 317, 273, 7268, 9064, 264, 10592, 1607, 29776, 547, 281, 4399, 842, 16009, 7268, 9064, 264, 910, 1422, 6912, 346, 278, 21456, 284, 23692, 263, 5913, 263, 9064, 4297, 910, 4399, 6912, 346, 278, 4151, 263, 9064, 994, 284, 23692, 263, 7445, 2765, 3189, 6912, 18950, 273, 343, 268, 272, 8203, 273, 266, 278, 24828, 6912, 346, 278, 22288, 264, 910, 4399, 6912, 346, 278, 4151, 541, 551, 534, 263, 7445, 2765, 346, 273, 343, 268, 272, 7346, 6912, 346, 278, 22288, 264, 1341, 595, 692, 300, 550, 528, 692, 1012, 14581, 15048, 692, 7445, 2765, 12757, 268, 275, 2410, 343, 317, 273, 14870, 266, 273, 10592, 1012, 634, 28055, 693, 513, 8827, 692, 7445, 2765, 12757, 268, 275, 2410, 263, 343, 268, 272, 270, 273, 8203, 273, 266, 278, 270, 275, 21456, 340, 815, 1535, 910, 476, 272, 270, 273, 815, 4399, 2765, 3189, 6912, 346, 278, 12453, 273, 4151, 11927, 7445, 9064, 259, 6902, 5918, 815, 4399, 6912, 346, 278, 4151, 270, 273, 3813, 317, 273, 263, 9064, 994, 343, 815, 579, 1341, 476, 272, 270, 273, 454, 7445, 842, 21702, 18950, 340, 6629, 278, 270, 273, 264, 7268, 6912, 346, 278, 348, 270, 273, 5913, 317, 273, 7268, 9064, 20972, 278, 270, 275, 3813, 317, 273, 7268, 9064, 264, 10592, 1607, 29776, 547, 281, 4399, 842, 16009, 7268, 9064, 264, 910, 1422, 6912, 346, 278, 21456, 284, 23692, 263, 5913, 263, 9064, 4297, 910, 4399, 6912, 346, 278, 4151, 263, 9064, 994, 284, 23692, 263, 7445, 2765, 3189, 6912, 18950, 273, 343, 268, 272, 8203, 273, 266, 278, 24828, 6912, 346, 278, 22288, 264, 910, 4399, 6912, 346, 278, 4151, 541, 551, 534, 263, 7445, 2765, 346, 273, 343, 268, 272, 7346, 6912, 346, 278, 22288, 264, 1341, 595, 692, 2710, 596, 723, 513, 2243, 2496, 2791, 666, 2638, 707, 2626, 676, 1114, 11868, 269, 1403, 596, 1439, 909, 609, 519, 1482, 607, 519, 3312, 2076, 8681, 267, 707, 2626, 568, 2953, 269, 898, 781, 7168, 30255, 267, 855, 952, 596, 946, 2845, 3601, 1354, 596, 16174, 267, 602, 786, 1118, 1919, 513, 2603, 12863, 780, 5194, 1935, 602, 568, 4440, 12863, 568, 547, 8237, 909, 519, 2076, 8681, 1210, 9864, 8454, 780, 328, 305, 4660, 454, 296, 666, 1405, 1589, 540, 1022, 834, 339, 9581, 257, 547, 6061, 713, 269, 594, 1810, 1405, 1294, 875, 596, 1223, 946, 9864, 8454, 2901, 1862, 9894, 596, 1118, 713, 1966, 909, 2496, 300, 550, 528, 454, 31800, 1695, 267, 593, 2034, 2219, 267, 9864, 8454, 9327, 1405, 581, 607, 2653, 607, 594, 2219, 269, 634, 2188, 1131, 1331, 1950, 2338, 780, 306, 7159, 4821, 454, 2005, 568, 3833, 2653, 547, 4194, 519, 2016, 7533, 780, 305, 1168, 1679, 621, 607, 454, 11377, 2765, 346, 272, 2410, 273, 4153, 842, 1422, 2765, 346, 273, 343, 268, 272, 2410, 343, 317, 273, 14870, 266, 273, 348, 11459, 10559, 2765, 346, 278, 2410, 273, 4153, 842, 21702, 346, 11459, 2410, 343, 317, 273, 14870, 266, 273, 15732, 13828, 519, 29398, 666, 581, 3362, 12193, 780, 328, 305, 4660, 454, 2005, 568, 3833, 2653, 547, 4194, 519, 2016, 7533, 780, 305, 1168, 1679, 621, 607, 454, 11377, 2765, 346, 272, 2410, 273, 4153, 842, 1422, 2765, 346, 273, 343, 268, 272, 2410, 343, 317, 273, 14870, 266, 273, 348, 11459, 10559, 2765, 346, 278, 2410, 273, 4153, 842, 21702, 346, 11459, 2410, 343, 317, 273, 14870, 266, 273, 15732, 13828, 519, 29398, 666, 581, 3362, 12193, 780, 1692, 1705, 596, 1256, 1589, 540, 602, 522, 269, 334, 543, 621, 1869, 568, 7168, 2352, 547, 4194, 519, 476, 273, 526, 835, 780, 29094, 4477, 704, 454, 1692, 1705, 596, 1256, 1589, 540, 602, 522, 269, 334, 543, 621, 1869, 568, 7168, 2352, 547, 4194, 519, 476, 273, 526, 835, 780, 2791, 2347, 519, 4009, 267, 1175, 899, 12832, 7637, 639, 1705, 538, 519, 20525, 269, 5272, 7853, 1934, 6487, 602, 519, 2626, 538, 519, 1101, 2022, 568, 2953, 267, 9811, 286, 634, 1152, 1966, 609, 621, 568, 602, 519, 2845, 2165, 568, 538, 513, 7168, 26101, 1106, 780, 301, 545, 7637, 639, 454, 296, 993, 1175, 11842, 952, 602, 568, 2953, 269, 962, 320, 267, 519, 2845, 1106, 568, 30255, 563, 2414, 14458, 602, 1384, 15238, 9230, 273, 343, 6629, 272, 264, 273, 266, 278, 18414, 278, 18414, 264, 910, 476, 278, 18414, 541, 551, 534, 263, 273, 343, 6629, 1704, 18414, 264, 1341, 595, 454, 284, 476, 272, 270, 273, 10857, 333, 263, 273, 343, 268, 272, 8203, 273, 266, 272, 264, 910, 23692, 263, 278, 11723, 3383, 267, 519, 7533, 538, 519, 20525, 568, 2953, 267, 1318, 2496, 29094, 4477, 704, 454, 296, 993, 1175, 11842, 952, 602, 568, 2953, 269, 962, 320, 267, 519, 2845, 1106, 568, 30255, 563, 2414, 14458, 602, 1384, 15238, 9230, 273, 343, 6629, 272, 264, 273, 266, 278, 18414, 278, 18414, 264, 910, 476, 278, 18414, 541, 551, 534, 263, 273, 343, 6629, 1704, 18414, 264, 1341, 595, 454, 284, 476, 272, 270, 273, 10857, 333, 263, 273, 343, 268, 272, 8203, 273, 266, 272, 264, 910, 23692, 263, 278, 11723, 3383, 267, 519, 7533, 538, 519, 20525, 568, 2953, 267, 1318, 2496, 8133, 621, 781, 2953, 267, 855, 594, 1223, 1224, 519, 7533, 538, 519, 20525, 269, 594, 666, 1405, 1224, 1018, 596, 723, 2854, 972, 610, 1018, 596, 616, 3206, 780, 29094, 4477, 704, 454, 763, 3070, 5654, 513, 3787, 12863, 538, 519, 1106, 12361, 272, 270, 273, 1422, 15238, 1923, 343, 317, 273, 14870, 266, 273, 347, 10559, 6912, 278, 1422, 541, 551, 534, 7268, 2765, 346, 273, 343, 268, 272, 7346, 6912, 278, 348, 11924, 290, 1012, 692, 12317, 843, 692, 338, 1678, 531, 335, 2466, 2145, 454, 328, 305, 4660, 267, 519, 2243, 666, 711, 581, 12193, 676, 9864, 8454, 269, 634, 1505, 568, 607, 5205, 23241, 2791, 723, 547, 1205, 519, 1106, 2398, 534, 822, 3893, 269, 594, 1131, 2995, 596, 875, 26042, 19686, 594, 281, 1635, 14791, 281, 3807, 2736, 519, 6824, 543, 2119, 547, 1205, 519, 1106, 535, 21948, 343, 264, 11459, 11721, 3287, 264, 13718, 19686, 4083, 23241, 4131, 10484, 343, 268, 275, 284, 16575, 323, 3287, 273, 14870, 266, 273, 8358, 11459, 1341, 13179, 692, 2791, 666, 1265, 18494, 267, 543, 13179, 676, 9236, 519, 14170, 269, 3973, 2736, 519, 6824, 547, 1205, 10484, 19489, 300, 2433, 6715, 1537, 540, 14216, 29719, 540, 1599, 22077, 4233, 1341, 16949, 540, 23483, 540, 513, 13392, 780, 763, 2034, 835, 568, 7471, 676, 1505, 540, 3501, 10945, 799, 594, 4126, 596, 917, 780, 272, 1268, 0, 271, 692, 258, 1548, 1297, 568, 476, 277, 4037, 16883, 676, 2496, 24993, 281, 476, 275, 270, 2764, 270, 1708, 273, 692, 310, 5942, 14871, 692, 1556, 344, 3516, 692, 274, 267, 476, 276, 267, 476, 280, 267, 476, 1428, 267, 476, 1839, 267, 476, 2767, 267, 476, 3393, 267, 476, 4037, 267, 476, 13670, 267, 543, 476, 18597, 616, 782, 2188, 540, 476, 277, 4037, 692, 277, 4037, 815, 476, 274, 1535, 476, 274, 1535, 476, 274, 1535, 476, 276, 1535, 476, 276, 692, 310, 5942, 14871, 692, 1556, 344, 3516, 692, 292, 7568, 1341, 736, 533, 1206, 454, 304, 281, 1548, 1297, 568, 476, 277, 4037, 16883, 676, 888, 8138, 2466, 454, 26170, 723, 2055, 888, 16665, 2055, 692, 2162, 1772, 476, 277, 4037, 513, 6305, 2496, 277, 4037, 568, 711, 513, 6305, 1297, 269, 898, 568, 16883, 676, 476, 274, 780, 2162, 1772, 476, 277, 4037, 513, 6305, 1297, 2496, 5591, 621, 568, 16883 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 547, 519, 6366, 630, 2421, 4214, 1040, 11910, 519, 3845, 689, 519, 3339, 547, 519, 6443, 834, 343, 2668, 11910, 519, 3259, 540, 519, 3339, 834, 344, 2668, 3973, 586, 568, 3845, 519, 18330, 568, 11506, 1657, 519, 6366, 780, 344, 815, 681, 337, 1341, 595, 7069, 6523, 265, 1341, 18328, 343, 7562, 265, 610, 1175, 681, 337, 1341, 595, 7069, 950, 2608, 568, 4642, 630, 305, 337, 815, 681, 325, 2020, 7712, 519, 5360, 2939, 540, 519, 19856, 5086, 267, 744, 267, 568, 14039, 1341, 744, 267, 2094, 744, 568, 2942, 267, 922, 20312, 10725, 568, 630, 7032, 266, 302, 8358, 273, 269, 634, 17242, 4082, 666, 1631, 581, 2854, 607, 1384, 344, 24474, 815, 910, 11927, 9230, 7032, 266, 302, 8358, 273, 2020, 3719, 713, 666, 581, 556, 343, 335, 5962, 1210, 519, 3961, 10484, 11927, 263, 7032, 270, 273, 268, 8987, 288, 4297, 815, 476, 272, 270, 11927, 8987, 288, 264, 585, 2318, 589, 865, 10484, 344, 24474, 815, 910, 272, 270, 11927, 263, 302, 270, 273, 2020, 306, 6295, 585, 1535, 3947, 692, 343, 815, 910, 344, 11927, 263, 302, 270, 273, 264, 799, 568, 692, 343, 815, 910, 263, 305, 337, 1341, 595, 7069, 6523, 265, 1341, 18328, 343, 7562, 265, 264, 11927, 263, 302, 270, 273, 264, 1310, 9750, 586, 780, 18794, 281, 910, 263, 305, 337, 1341, 595, 7069, 264, 11927, 263, 302, 270, 273, 264, 543, 950, 2608, 568, 711, 4642, 267, 910, 263, 305, 337, 1341, 595, 7069, 6523, 265, 1341, 18328, 343, 7562, 265, 264, 11927, 263, 302, 270, 273, 2020, 763, 3259, 540, 519, 6366, 568, 700, 325, 269, 1677, 1205, 707, 1286, 781, 18330, 3259, 593, 713, 851, 540, 519, 18330, 267, 700, 273, 267, 649, 3274, 10208, 519, 3845, 689, 519, 4099, 540, 2527, 547, 519, 9096, 543, 519, 3845, 689, 519, 6443, 547, 519, 18330, 10167, 3339, 593, 519, 6366, 10484, 299, 273, 815, 700, 325, 910, 715, 910, 645, 1341, 18328, 343, 1341, 630, 305, 337, 1341, 595, 7069, 264, 11927, 263, 302, 270, 273, 2020, 528, 952, 2608, 568, 711, 4642, 10484, 299, 273, 815, 700, 325, 910, 630, 301, 1341, 645, 910, 18328, 343, 264, 6523, 265, 910, 18328, 903, 514, 265, 1341, 630, 305, 337, 1341, 595, 7069, 6523, 265, 1341, 18328, 343, 7562, 265, 264, 11927, 263, 302, 270, 273, 2020, 1012, 634, 681, 2086, 692, 4002, 519, 19856, 267, 519, 1286, 568, 2907, 512, 5792, 18746, 676, 519, 19856, 5086, 267, 744, 269, 634, 4099, 540, 2527, 267, 519, 1448, 2047, 2630, 621, 593, 519, 3950, 543, 519, 1448, 593, 519, 3950, 4171, 3339, 10596, 998, 519, 4099, 540, 2527, 1106, 513, 1318, 6906, 269, 1635, 4214, 267, 519, 3339, 1899, 568, 693, 1318, 7285, 547, 519, 3950, 2627, 267, 865, 519, 14584, 693, 519, 4099, 540, 2527, 814, 606, 5086, 540, 23940, 269, 1403, 519, 4395, 543, 15493, 14743, 723, 519, 1482, 2234, 4512, 267, 681, 325, 543, 681, 337, 267, 519, 4463, 547, 519, 4099, 540, 2527, 689, 519, 512, 5792, 3950, 568, 630, 305, 337, 266, 290, 7069, 8358, 6523, 302, 269, 1879, 681, 325, 543, 681, 337, 616, 711, 3160, 267, 519, 4099, 540, 2527, 568, 29352, 827, 519, 4949, 548, 865, 519, 4463, 3587, 630, 305, 337, 1341, 595, 7069, 6523, 265, 1341, 18328, 343, 7562, 265, 8358, 6523, 302, 269, 901, 4463, 1281, 711, 1689, 1247, 519, 1286, 568, 593, 519, 19856, 780, 4263, 519, 4358, 1899, 267, 519, 4099, 540, 2527, 568, 3297, 621, 269, 1677, 3313, 875, 2484, 3297, 519, 4358, 1899, 519, 4099, 540, 2527, 568, 267, 649, 666, 11716, 519, 19856, 28550, 269, 634, 4099, 540, 2527, 568, 3297, 519, 1899, 676, 519, 3259, 540, 922, 9224, 7132, 922, 8868, 3490, 14263, 922, 3845, 689, 519, 15493, 4949, 548, 269, 901, 568, 10484, 9359, 281, 715, 1341, 645, 910, 18328, 343, 543, 950, 2608, 568, 711, 4642, 267, 630, 301, 266, 289, 4211, 300, 343, 264, 6523, 265, 1341, 18328, 903, 514, 22177, 4263, 519, 6443, 1439, 267, 519, 1482, 9270, 4019, 607, 593, 519, 6366, 269, 8307, 713, 942, 267, 519, 3339, 267, 586, 267, 568, 15810, 593, 547, 519, 19856, 269, 634, 7954, 543, 2164, 616, 519, 1482, 780, 18794, 281, 910, 263, 305, 337, 1341, 595, 7069, 264, 11927, 263, 302, 270, 273, 264, 543, 950, 2608, 568, 711, 4642, 267, 910, 263, 305, 337, 1341, 595, 7069, 6523, 265, 1341, 18328, 343, 7562, 265, 264, 11927, 263, 302, 270, 273, 2020, 763, 3259, 540, 519, 19856, 568, 700, 337, 269, 1677, 1205, 707, 1286, 781, 18330, 3259, 593, 713, 1101, 851, 540, 519, 18330, 267, 700, 272, 267, 649, 3274, 1039, 519, 3845, 689, 519, 4099, 540, 2527, 547, 519, 4358, 1899, 543, 10208, 519, 3845, 689, 519, 6443, 547, 519, 18330, 10167, 3339, 593, 519, 19856, 10484, 299, 272, 815, 700, 337, 1341, 715, 1341, 645, 910, 18328, 343, 1341, 630, 305, 337, 1341, 595, 7069, 264, 11927, 263, 302, 270, 273, 2020, 528, 952, 2608, 568, 711, 4642, 10484, 299, 272, 815, 700, 337, 1341, 630, 301, 266, 289, 4211, 300, 343, 264, 6523, 265, 1341, 18328, 903, 514, 265, 1341, 630, 305, 337, 1341, 595, 7069, 6523, 265, 1341, 18328, 343, 7562, 265, 264, 11927, 263, 302, 270, 273, 2020, 1012, 22217, 1881, 7844, 3004, 915, 800, 2201, 513, 9835, 623, 3700, 25397, 692, 1103, 5758, 267, 519, 18330, 9511, 4834, 616, 607, 5205, 780, 12327, 11266, 8577, 12778, 6167, 3951, 306, 23370, 31304, 303, 3582, 2608, 815, 818, 551, 534, 9230, 305, 325, 7304, 337, 8358, 289, 264, 5232, 570, 2830, 540, 1286, 1813, 547, 1114, 2450, 4395, 543, 15493, 14743, 554, 12169, 264, 815, 630, 305, 337, 1341, 595, 7069, 6523, 265, 1341, 18328, 343, 7562, 265, 8358, 6523, 302, 1341, 670, 910, 586, 7562, 302, 6279, 27551, 540, 18330, 593, 19856, 700, 272, 815, 700, 337, 1341, 630, 301, 266, 289, 4211, 300, 343, 264, 6523, 265, 1341, 18328, 903, 514, 265, 1341, 630, 305, 337, 1341, 595, 7069, 6523, 265, 1341, 18328, 343, 7562, 265, 264, 11927, 263, 302, 270, 273, 264, 6279, 20099, 540, 1286, 781, 18330, 593, 19856, 476, 271, 10922, 586, 10922, 700, 272, 6279, 16186, 540, 9095, 9936, 2059, 19856, 554, 12169, 264, 815, 681, 337, 1341, 595, 7069, 6523, 265, 1341, 18328, 343, 7562, 265, 6279, 27551, 540, 18330, 593, 6366, 700, 273, 815, 700, 325, 910, 630, 301, 1341, 645, 910, 18328, 343, 264, 6523, 265, 910, 18328, 903, 514, 265, 1341, 630, 305, 337, 1341, 595, 7069, 6523, 265, 1341, 18328, 343, 7562, 265, 264, 11927, 263, 302, 270, 273, 264, 6279, 20099, 540, 1286, 781, 18330, 593, 6366, 476, 271, 10922, 586, 10922, 700, 273, 6279, 16186, 540, 9095, 9936, 2059, 6366, 454, 1496, 9202, 8791, 316, 1496, 303, 527, 9351, 316, 1496, 17138, 8525, 316, 0, 258, 1548, 1772, 1488, 764, 657, 26321, 1677, 2496, 1012, 1548, 568, 2910, 306, 476, 272, 1572, 2496, 763, 10035, 5430, 268, 272, 3287, 264, 568, 11603, 585, 519, 11201, 25482, 799, 568, 849, 1572, 968, 541, 764, 27343, 892, 543, 666, 581, 2854, 607, 818, 764, 657, 3287, 264, 610, 267, 593, 1082, 26732, 267, 1035, 657, 3287, 6393, 763, 1482, 10039, 547, 11201, 20534, 267, 11201, 17242, 267, 543, 865, 593, 269, 780, 1012, 1215, 798, 596, 979, 689, 5609, 547, 5430, 2496, 763, 9978, 5565, 281, 590, 710, 543, 15328, 710, 263, 272, 264, 6490, 528, 1125, 281, 20534, 815, 630, 641, 22683, 2427, 264, 1315, 30494, 269, 2560, 630, 273, 264, 5609, 589, 815, 5430, 263, 3445, 4113, 6567, 589, 264, 610, 5430, 263, 11027, 270, 273, 6567, 589, 264, 5430, 589, 815, 5609, 263, 3445, 4113, 6567, 589, 264, 610, 5609, 263, 11027, 270, 273, 6567, 589, 7565, 274, 264, 6490, 528, 1125, 281, 2560, 630, 275, 264, 17242, 815, 630, 641, 22683, 2427, 264, 1315, 630, 29951, 8809, 2427, 7565, 276, 264, 6490, 528, 1125, 281, 2560, 630, 277, 264, 16009, 589, 815, 28422, 263, 3445, 4113, 6567, 589, 264, 610, 28422, 263, 11027, 270, 273, 6567, 589, 264, 2560, 630, 278, 264, 3813, 589, 815, 524, 2675, 263, 3445, 4113, 6567, 589, 264, 610, 524, 2675, 263, 11027, 270, 273, 6567, 589, 2020, 1012, 1548, 568, 519, 1599, 22444, 2496, 20376, 656, 630, 5913, 264, 1107, 26344, 5852, 1599, 769, 513, 1318, 6906, 267, 519, 3813, 656, 540, 606, 5086, 568, 519, 3259, 540, 519, 30494, 5258, 676, 519, 3259, 540, 519, 11105, 2427, 269, 769, 513, 4542, 267, 621, 568, 28484, 547, 1175, 2048, 5913, 9957, 3813, 269, 1535, 269, 25883, 1012, 1548, 1281, 8121, 290, 1611, 538, 29890, 2496, 2171, 2161, 538, 9511, 602, 606, 9095, 968, 11357, 339, 1742, 892, 606, 5086, 16564, 282, 12777, 267, 968, 560, 4958, 2583, 896, 1848, 3767, 519, 18592, 540, 513, 5858, 568, 606, 9095, 3259, 269, 1656, 519, 5223, 540, 519, 18592, 547, 519, 8006, 568, 519, 4493, 540, 2234, 1014, 2268, 269, 2334, 5223, 568, 519, 4214, 540, 12631, 269, 12631, 692, 1012, 1548, 568, 5430, 476, 273, 343, 3160, 547, 2496, 290, 657, 630, 273, 343, 6661, 476, 273, 6262, 657, 343, 8203, 273, 1700, 272, 780, 1012, 1772, 1488, 764, 657, 519, 1482, 607, 476, 272, 5430, 2496, 6635, 764, 657, 4214, 634, 818, 764, 27343, 540, 1535, 568, 3989, 607, 519, 11201, 25482, 1599, 540, 1535, 950, 910, 272, 19749, 353, 343, 19749, 353, 272, 269, 630, 2080, 5430, 268, 272, 1535, 1797, 519, 11201, 25482, 543, 1281, 711, 1611, 25482, 547, 519, 1379, 540, 910, 272, 6393, 1012, 1548, 568, 20211, 7562, 3160, 547, 2496, 763, 9095, 7562, 1599, 568, 519, 11201, 540, 519, 20534, 1599, 269, 898, 7024, 519, 5086, 4171, 20534, 568, 513, 2016, 1297, 16634, 2117, 7562, 4732, 514, 1789, 815, 476, 271, 269, 276, 9288, 753, 281, 634, 20534, 540, 476, 1789, 5232, 568, 476, 271, 269, 276, 2117, 7562, 476, 271, 269, 276, 815, 476, 1789, 9288, 753, 281, 634, 5086, 4171, 5609, 568, 476, 271, 269, 276, 568, 476, 1789, 5232, 780, 1012, 2052, 1488, 764, 657, 581, 2942, 2496, 763, 818, 764, 27343, 540, 513, 2318, 1297, 568, 513, 1101, 9076, 656, 5086, 267, 5430, 268, 272, 263, 266, 264, 568, 538, 9076, 656, 594, 269, 634, 818, 764, 27343, 540, 4642, 568, 1315, 273, 267, 5430, 268, 272, 263, 271, 264, 568, 1315, 273, 269, 634, 818, 764, 27343, 540, 513, 2942, 1297, 568, 513, 2034, 9076, 656, 5086, 267, 5430, 268, 272, 8987, 264, 568, 538, 9076, 656, 4083, 780, 1012, 6496, 20211, 7562, 22599, 856, 5609, 2496, 763, 9095, 338, 710, 1599, 568, 519, 11201, 1599, 585, 519, 20534, 1599, 593, 519, 8884, 1496, 6567, 12631, 1315, 476, 273, 2073, 12631, 1315, 476, 273, 9948, 1547, 1924, 789, 968, 322, 30327, 892, 1142, 824, 896, 5888, 540, 3252, 267, 607, 5205, 780, 1012, 1548, 1281, 590, 710, 1611, 2496, 1103, 6128, 267, 519, 20534, 568, 513, 25066, 1599, 540, 606, 5086, 269, 634, 20534, 540, 606, 8650, 5086, 568, 3989, 538, 519, 2796, 540, 513, 1318, 6906, 281, 585, 519, 9138, 5086, 267, 621, 568, 519, 5223, 540, 519, 3259, 540, 519, 2427, 602, 568, 6587, 602, 5086, 547, 519, 3259, 540, 519, 13074, 2427, 540, 519, 6906, 630, 1492, 30494, 6393, 1012, 1548, 568, 2910, 306, 476, 272, 1031, 585, 2496, 763, 11201, 25066, 3252, 5609, 6629, 272, 3287, 264, 2073, 5430, 6629, 272, 3287, 264, 2073, 543, 16009, 6629, 272, 3287, 264, 2073, 616, 1031, 547, 1265, 519, 7164, 2268, 540, 606, 5086, 540, 513, 1318, 6906, 950, 1079, 2427, 13080, 616, 1634, 780, 1012, 1772, 1488, 764, 657, 3160, 547, 22444, 2496, 20376, 656, 267, 524, 846, 322, 656, 543, 28422, 836, 550, 267, 3592, 2141, 2854, 607, 3813, 267, 524, 846, 322, 543, 28422, 616, 25066, 3252, 899, 5609, 267, 5430, 543, 16009, 269, 8074, 267, 3813, 1535, 568, 711, 519, 1482, 607, 5430, 268, 272, 343, 630, 27271, 2854, 607, 818, 764, 657, 1535, 1040, 5457, 267, 596, 3112, 7941, 676, 4642, 543, 865, 891, 8847, 616, 1152, 4570, 950, 519, 32159, 616, 711, 4642, 780, 1012, 1548, 568, 519, 6587, 540, 15328, 2496, 763, 3813, 656, 568, 519, 23483, 540, 519, 25482, 269, 634, 28422, 836, 550, 568, 519, 23483, 540, 519, 17242, 780, 1012, 1548, 1281, 28422, 1611, 538, 29890, 2496, 1103, 513 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1031, 547, 7447, 15768, 2418, 630, 17141, 9352, 2418, 899, 476, 271, 270, 272, 264, 689, 513, 1305, 540, 4830, 4632, 269, 898, 2337, 3589, 519, 5506, 540, 606, 2680, 676, 17501, 1239, 547, 513, 2845, 527, 1599, 269, 898, 568, 849, 1572, 2845, 527, 9695, 780, 4322, 2409, 7396, 2630, 616, 1419, 1031, 547, 948, 2087, 26848, 9695, 3631, 1384, 1892, 1331, 5872, 2474, 454, 1892, 9004, 2934, 454, 1892, 2834, 1125, 2553, 454, 1892, 946, 513, 1875, 31059, 2203, 692, 274, 269, 17423, 10326, 692, 13356, 1707, 10326, 5690, 538, 3684, 1565, 568, 835, 540, 519, 1034, 2442, 5690, 538, 946, 2221, 282, 713, 568, 513, 24892, 1565, 5690, 602, 568, 1031, 585, 1362, 4328, 2042, 269, 898, 1568, 1134, 1362, 4328, 585, 1312, 28547, 543, 6024, 8200, 4632, 269, 769, 713, 5690, 267, 649, 8237, 519, 2551, 883, 1079, 610, 811, 24267, 5036, 1759, 593, 519, 1034, 1713, 10305, 270, 4830, 4632, 780, 275, 269, 25789, 300, 630, 28874, 21070, 10724, 264, 23990, 692, 306, 30470, 5690, 568, 513, 1505, 540, 8760, 5690, 538, 799, 596, 4729, 6151, 1239, 607, 2798, 538, 606, 562, 8820, 2230, 630, 3602, 562, 568, 519, 1297, 540, 2934, 596, 723, 1040, 634, 1871, 540, 1142, 4183, 568, 1287, 13615, 547, 513, 1880, 11282, 267, 1818, 621, 2653, 547, 19665, 519, 1239, 269, 20514, 1572, 1362, 13294, 666, 581, 1031, 547, 8237, 519, 1239, 543, 4729, 873, 593, 513, 3113, 780, 276, 269, 10878, 633, 7345, 525, 23990, 692, 288, 10878, 633, 7345, 525, 29976, 17648, 602, 519, 4527, 540, 513, 1880, 4183, 538, 513, 1362, 568, 20775, 547, 519, 4527, 540, 1022, 824, 4183, 780, 10214, 952, 891, 2934, 616, 1644, 547, 1142, 824, 267, 513, 10878, 633, 7345, 525, 29976, 1131, 2015, 782, 540, 891, 3601, 10446, 950, 12719, 519, 5506, 540, 513, 1880, 6364, 780, 288, 10878, 633, 28662, 2203, 568, 2653, 547, 1628, 543, 3730, 585, 7372, 14449, 269, 898, 781, 2241, 543, 568, 1634, 547, 856, 704, 845, 1256, 3810, 10427, 8760, 2409, 780, 10403, 6092, 281, 10724, 4804, 27122, 692, 9596, 519, 17943, 540, 10724, 4804, 27122, 692, 277, 269, 918, 13585, 630, 298, 268, 3026, 11732, 27199, 26092, 264, 23990, 692, 1607, 5690, 666, 581, 4294, 547, 1312, 8760, 543, 9695, 2042, 269, 2561, 30068, 267, 1369, 519, 4578, 3163, 2872, 267, 621, 781, 811, 4922, 1031, 547, 4194, 8760, 2042, 269, 898, 779, 513, 2241, 5690, 602, 8637, 782, 2139, 2665, 543, 1362, 5809, 1022, 1007, 2665, 676, 2921, 513, 5354, 8917, 540, 922, 737, 12543, 269, 634, 2013, 568, 1287, 8655, 547, 519, 1362, 609, 799, 621, 814, 519, 1034, 538, 1455, 269, 589, 3845, 1599, 15824, 713, 6482, 780, 298, 13585, 666, 581, 3362, 6956, 676, 9236, 621, 547, 1483, 1272, 269, 1280, 1383, 267, 952, 596, 1616, 1344, 827, 513, 1268, 267, 621, 2306, 2631, 547, 2911, 547, 1010, 610, 1200, 2828, 543, 9164, 2439, 28830, 547, 2015, 1354, 8939, 918, 3026, 11732, 27199, 321, 2293, 23990, 1384, 1892, 918, 13585, 568, 1939, 14260, 7199, 454, 1892, 25159, 1058, 581, 28348, 267, 610, 3116, 2362, 2039, 4632, 666, 9186, 519, 5690, 454, 1892, 4578, 1869, 2115, 547, 581, 840, 3491, 947, 539, 780, 278, 269, 918, 5336, 324, 753, 692, 2005, 568, 606, 5667, 10967, 14876, 1565, 5690, 602, 31758, 24159, 2042, 269, 4578, 5036, 616, 9286, 883, 513, 1880, 1297, 540, 13421, 630, 2280, 781, 1289, 602, 1297, 918, 264, 538, 971, 513, 1259, 602, 782, 519, 1239, 2798, 1369, 513, 12440, 616, 4630, 18100, 543, 26945, 689, 519, 1239, 538, 824, 13421, 780, 1692, 918, 24578, 753, 3029, 13421, 1384, 1892, 634, 918, 24578, 753, 5690, 26717, 737, 1297, 540, 2798, 267, 1572, 1298, 28281, 267, 585, 1142, 12440, 563, 1892, 3962, 1239, 1448, 3029, 513, 12440, 609, 519, 14191, 1298, 28281, 267, 1775, 4318, 1421, 918, 13421, 563, 1892, 898, 1631, 5932, 1007, 1298, 28281, 1759, 593, 519, 4540, 12440, 2818, 563, 1892, 2060, 891, 1007, 1298, 28281, 267, 519, 14191, 3845, 585, 1142, 1239, 1448, 568, 5462, 269, 901, 1184, 568, 7368, 2394, 519, 1298, 28281, 798, 711, 1689, 780, 279, 269, 15932, 11206, 23990, 692, 288, 7104, 540, 3375, 4054, 568, 1572, 513, 15932, 11206, 269, 1677, 19665, 513, 1007, 1843, 1759, 593, 922, 10305, 267, 1142, 3529, 568, 9286, 267, 543, 519, 3529, 968, 341, 4925, 892, 585, 602, 1362, 269, 634, 4104, 23297, 519, 8760, 2348, 519, 1034, 16018, 630, 1478, 782, 519, 4054, 538, 519, 4104, 6393, 10376, 3529, 568, 12630, 1299, 6738, 607, 5205, 1384, 1892, 1403, 519, 1297, 540, 2665, 538, 519, 2866, 1305, 568, 715, 267, 1287, 513, 3732, 540, 715, 2665, 568, 3144, 693, 4351, 269, 901, 3732, 786, 581, 519, 2866, 1305, 585, 3395, 519, 3529, 563, 1892, 1403, 972, 616, 631, 3403, 4632, 267, 513, 1297, 544, 28843, 300, 568, 9138, 971, 602, 693, 1142, 6843, 267, 544, 4632, 616, 5697, 693, 4351, 856, 540, 519, 631, 267, 543, 519, 1655, 8237, 593, 713, 544, 568, 1031, 547, 8237, 519, 6843, 269, 634, 1871, 540, 544, 568, 4371, 3586, 1282, 713, 1184, 563, 1892, 3962, 3529, 568, 6738, 547, 519, 1034, 8101, 6708, 2009, 269, 1703, 568, 1100, 18309, 780, 280, 269, 17435, 3290, 1275, 22159, 27122, 692, 1103, 2221, 781, 1158, 267, 5318, 5666, 540, 1239, 616, 1373, 6740, 543, 9916, 676, 6144, 919, 267, 2229, 8041, 267, 543, 1382, 3906, 269, 1306, 513, 1239, 10196, 267, 596, 917, 602, 713, 6151, 1239, 3568, 513, 2603, 540, 1344, 910, 519, 4161, 568, 538, 7114, 1713, 3270, 543, 4632, 780, 291, 574, 3290, 1275, 5786, 6620, 899, 17423, 10326, 267, 16748, 5811, 267, 31932, 10025, 22472, 267, 543, 15932, 11206, 666, 948, 596, 1265, 4143, 3877, 780, 293, 12767, 10724, 4804, 6092, 692, 9596, 769, 24683, 663, 10724, 4804, 10341, 543, 13088, 692, 4322, 616, 20993, 6620, 1031, 950, 7372, 13907, 540, 1239, 723, 547, 581, 17411, 547, 1118, 11236, 609, 1164, 6111, 269, 4425, 24031, 568, 606, 26254, 1565, 5690, 602, 10905, 519, 16762, 1379, 540, 1896, 3490, 3934, 2209, 547, 2087, 7347, 1145, 780, 1103, 2110, 267, 621, 10905, 2789, 4617, 610, 3328, 30661, 547, 1628, 513, 2178, 27667, 269, 1452, 20993, 6620, 2141, 960, 1134, 538, 1239, 2257, 19194, 899, 918, 12000, 548, 267, 20724, 27725, 25070, 267, 18844, 323, 22860, 339, 1460, 269, 1452, 616, 519, 1034, 9053, 3684, 1565, 6620, 2221, 269, 2422, 873, 267, 2059, 609, 5124, 543, 681, 32011, 267, 547, 3035, 4977, 4093, 780, 19185, 4464, 547, 513, 3811, 4876, 538, 3642, 543, 10724, 1565, 269, 2037, 1503, 538, 938, 3642, 543, 16066, 623, 294, 5358, 538, 5698, 609, 8830, 16746, 2160, 1631, 780, 6962, 692, 2252, 596, 1616, 547, 1628, 513, 4876, 538, 3684, 1565, 267, 1376, 1318, 2476, 269, 634, 2361, 568, 2810, 267, 543, 519, 19692, 596, 1174, 519, 9165, 540, 3684, 1565, 2645, 267, 519, 19692, 596, 3513, 581, 2111, 547, 1683, 3435, 547, 1950, 960, 2042, 269, 1717, 267, 952, 596, 616, 4810, 538, 519, 2361, 543, 1616, 547, 5818, 707, 4876, 267, 596, 666, 1491, 5346, 519, 5403, 23958, 5358, 538, 3642, 543, 10724, 4804, 538, 11450, 609, 8830, 16746, 2160, 32524, 609, 22126, 269, 901, 1982, 3947, 596, 606, 538, 3829, 1702, 540, 5124, 267, 12213, 4804, 5690, 609, 519, 32150, 2095, 267, 7849, 5678, 14409, 267, 16594, 23779, 267, 8950, 17496, 267, 543, 22365, 7593, 4804, 780, 9827, 267, 5965, 3054, 585, 10724, 4804, 5967, 2055, 547, 2244, 693, 707, 5326, 2816, 2439, 13425, 719, 519, 22217, 850, 7568, 781, 3381, 593, 519, 834, 300, 22389, 4804, 23990, 6231, 9596, 585, 1863, 256, 4427, 18285, 547, 938, 13334, 19305, 1299, 2142, 513, 3487, 540, 476, 6110, 330, 266, 8414, 22996, 7991, 269, 0, 258, 11929, 27872, 7726, 281, 4569, 585, 8950, 3163, 910, 3487, 476, 273, 692, 296, 993, 3168, 585, 930, 1454, 2877, 948, 5225, 609, 835, 2243, 593, 519, 8950, 3163, 11202, 267, 4569, 585, 8950, 3163, 11929, 267, 3487, 476, 273, 780, 763, 2243, 2829, 281, 19130, 538, 519, 1025, 3471, 547, 6474, 1142, 3948, 609, 519, 1826, 540, 6169, 4640, 602, 1058, 581, 1031, 547, 6961, 267, 610, 16355, 557, 267, 602, 3948, 780, 272, 269, 28171, 602, 782, 519, 1305, 540, 2338, 689, 476, 272, 547, 476, 1015, 616, 1447, 982, 476, 1556, 563, 27893, 15613, 281, 13322, 454, 273, 269, 28171, 602, 782, 2338, 1447, 1287, 476, 276, 616, 9642, 563, 27893, 15613, 281, 13322, 454, 274, 269, 28171, 602, 267, 952, 513, 3113, 814, 968, 333, 892, 14622, 267, 621, 814, 968, 333, 268, 272, 892, 8728, 563, 27893, 15613, 281, 13322, 454, 763, 3681, 616, 281, 2552, 571, 27168, 267, 4032, 699, 343, 2217, 267, 1473, 25934, 267, 6034, 267, 1401, 14571, 267, 1401, 9151, 542, 630, 5629, 606, 4781, 568, 5697, 267, 621, 3112, 581, 1031, 11992, 538, 519, 3210, 6393, 2414, 4194, 519, 2243, 267, 594, 723, 1031, 519, 9137, 910, 19577, 338, 281, 10613, 543, 11150, 543, 519, 9137, 1107, 19577, 338, 281, 9046, 5590, 547, 3391, 1250, 7744, 780, 7069, 3210, 5205, 519, 3898, 602, 729, 3177, 538, 519, 15080, 543, 9046, 30498, 1384, 272, 269, 15863, 281, 1401, 9151, 542, 454, 11693, 15048, 281, 28171, 602, 782, 519, 1305, 540, 2338, 689, 476, 272, 547, 476, 1015, 616, 1447, 982, 476, 1556, 563, 5804, 519, 9137, 267, 519, 4214, 540, 519, 19577, 676, 1401, 9151, 542, 6396, 2829, 602, 1022, 3948, 602, 5267, 519, 6228, 540, 930, 3959, 585, 1169, 1297, 666, 581, 8810, 676, 6029, 2047, 602, 1169, 1297, 814, 602, 3959, 563, 11693, 519, 1305, 540, 2338, 590, 815, 2715, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 267, 476, 279, 267, 476, 280, 267, 476, 1015, 7684, 267, 649, 723, 912, 272, 568, 1447, 982, 1169, 1297, 568, 519, 1305, 590, 563, 1015, 568, 3152, 982, 1169, 1297, 538, 519, 1305, 590, 563, 1015, 568, 1447, 982, 476, 1556, 563, 11997, 267, 1169, 1297, 538, 519, 1305, 540, 2338, 689, 476, 272, 547, 476, 1015, 616, 1447, 982, 476, 1556, 543, 649, 723, 9863, 519, 3948, 780, 273, 269, 15863, 281, 6034, 454, 11693, 15048, 281, 28171, 602, 782, 2338, 1447, 1287, 476, 276, 616, 9642, 563, 5804, 519, 9137, 267, 519, 4214, 540, 519, 6034, 6396, 2829, 602, 1034, 2241, 6898, 666, 581, 8810, 2047, 269, 3143, 20438, 2731, 968, 326, 1161, 2476, 892, 519, 12705, 602, 713, 1505, 540, 6169, 568, 2877, 563, 763, 1297, 476, 275, 568, 1447, 982, 476, 276, 269, 634, 3959, 585, 606, 1256, 1297, 568, 602, 621, 568, 16883, 676, 1079, 267, 543, 3762, 519, 14230, 476, 271, 269, 634, 1297, 476, 275, 568, 606, 1256, 1297, 563, 11997, 267, 713, 3096, 519, 6034, 6396, 547, 16355, 557, 938, 2016, 3948, 780, 274, 269, 15863, 281, 4032, 699, 343, 2217, 454, 11693, 15048, 281, 28171, 602, 267, 952, 513, 3113, 814, 968, 333, 892, 14622, 267, 621, 814, 968, 333, 268, 272, 892, 8728, 563, 5804, 519, 9137, 267, 519, 4214, 540, 519, 19577, 676, 4032, 699, 343, 2217, 6396, 2829, 281, 1022, 3948, 602, 5267, 1169, 1297, 814, 513, 1978, 3959, 666, 581, 16355, 1597, 952, 596, 666, 1683, 513, 1297, 602, 1281, 711, 723, 602, 3959, 563, 21413, 11362, 1932, 7184, 883, 3113, 3069, 267, 621, 568, 2241, 547, 1294, 602, 519, 3948, 568, 7301, 563, 763, 4214, 540, 513, 715, 1638, 8641, 568, 513, 3113, 2348, 835, 630, 528, 811, 264, 14622, 543, 1100, 8728, 269, 1280, 713, 1293, 699, 343, 2217, 267, 649, 666, 3442, 513, 715, 1638, 8641, 609, 476, 274, 14622, 543, 1100, 8728, 563, 11997, 267, 713, 3096, 519, 19577, 676, 4032, 699, 343, 2217, 6396, 547, 16355, 557, 938, 2016, 3948, 780, 296, 1131, 2731, 5660, 930, 948, 547, 2697, 1141, 594, 4076, 8854, 4636, 269, 3733, 6560, 814, 1831, 11207, 10002, 8793, 269, 594, 4076, 6836, 1896, 824, 2409, 936, 2789, 8942, 1510, 1967, 269, 3962, 942, 594, 4076, 2854, 513, 6169, 602, 594, 8263, 547, 581, 968, 1492, 6169, 4640, 602, 1058, 581, 1031, 2223, 607, 519, 981, 2243, 2829, 780, 7069, 28055, 1948, 272, 281, 1401, 9151, 542, 267, 6034, 267, 4032, 699, 343, 2217, 454, 7069, 28055, 1948, 273, 281, 1401, 9151, 542, 267, 4032, 699, 343, 2217, 267, 6034, 454, 7069 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 7170, 281, 1215, 547, 21220, 2586, 2659, 5564, 573, 7645, 8682, 3414, 2037, 1120, 2045, 7581, 2130, 543, 5027, 2920, 10474, 692, 272, 269, 13760, 1018, 31135, 707, 17326, 7645, 1582, 1797, 281, 6969, 4358, 713, 1184, 267, 621, 781, 1898, 547, 9787, 519, 1523, 540, 1373, 513, 17326, 7645, 1582, 269, 901, 2856, 5267, 602, 3425, 616, 811, 982, 6071, 6211, 9988, 282, 789, 4865, 5318, 1648, 543, 19957, 1761, 269, 3776, 3020, 2470, 814, 1419, 1044, 26793, 676, 6848, 5752, 543, 12145, 4978, 269, 1635, 4742, 3222, 540, 938, 17326, 7645, 30441, 267, 649, 12260, 1569, 547, 2362, 2829, 540, 9637, 267, 7326, 267, 543, 5759, 563, 273, 269, 25506, 519, 2640, 540, 32570, 539, 1533, 281, 4495, 596, 1174, 519, 1523, 267, 24559, 3054, 609, 922, 2404, 5383, 269, 1452, 949, 1331, 2799, 20932, 267, 15398, 5876, 267, 4824, 3929, 4987, 267, 8476, 1966, 9010, 1983, 267, 1732, 2949, 8171, 267, 5289, 2208, 267, 543, 4276, 547, 8471, 9637, 563, 274, 269, 6258, 827, 17615, 21757, 543, 5027, 11852, 281, 5565, 2565, 3334, 3238, 538, 31135, 707, 17326, 7645, 1582, 616, 17615, 21757, 630, 8145, 8221, 2942, 19367, 267, 3625, 1137, 267, 543, 7687, 264, 543, 5027, 11852, 630, 684, 24286, 26862, 22204, 5627, 4359, 1702, 1040, 5637, 3157, 3565, 3648, 547, 2123, 1646, 267, 7004, 267, 543, 16734, 835, 781, 2407, 652, 1761, 563, 275, 269, 10576, 2127, 8506, 17615, 26349, 281, 10670, 676, 22942, 532, 1808, 3344, 540, 707, 1272, 1141, 24715, 656, 1648, 7213, 12885, 1107, 2250, 911, 30864, 267, 3347, 267, 4876, 5079, 267, 2219, 3270, 267, 3092, 269, 31158, 1578, 891, 607, 3255, 585, 7067, 543, 11144, 2509, 513, 7059, 6228, 563, 276, 269, 6657, 1585, 2553, 585, 17615, 21757, 281, 18918, 5781, 538, 9066, 267, 32331, 267, 14751, 725, 267, 7362, 1740, 267, 10649, 267, 3280, 3797, 267, 610, 824, 2853, 1634, 547, 5305, 3710, 5346, 8082, 543, 3895, 2318, 5854, 1049, 12451, 269, 2142, 3461, 543, 10770, 267, 1620, 602, 5812, 3646, 6556, 6209, 2164, 936, 942, 563, 277, 269, 3194, 5027, 11852, 2409, 281, 10812, 3681, 971, 607, 11461, 1199, 14591, 267, 11925, 267, 6030, 267, 610, 2324, 609, 4810, 9439, 945, 20647, 538, 1769, 7853, 11852, 267, 1306, 322, 3290, 267, 8585, 330, 19487, 267, 543, 918, 1495, 531, 7236, 31135, 269, 8564, 4485, 6949, 908, 609, 707, 6418, 5583, 1247, 4180, 17356, 609, 707, 1699, 3661, 1949, 543, 6197, 563, 278, 269, 16259, 15508, 543, 14156, 585, 7096, 2242, 281, 22737, 22371, 543, 18515, 547, 10929, 1713, 13710, 2833, 1282, 713, 3460, 269, 21673, 15088, 538, 4555, 267, 4664, 267, 11994, 267, 543, 5615, 607, 2025, 26336, 23271, 543, 1007, 3283, 10836, 269, 19321, 3666, 676, 27733, 5751, 267, 5275, 1489, 5121, 267, 543, 8026, 1582, 13282, 563, 279, 269, 11657, 707, 3356, 281, 5901, 3950, 540, 7422, 267, 4030, 267, 23484, 267, 22303, 267, 543, 4245, 4121, 2429, 713, 1995, 269, 14484, 21237, 2390, 2854, 5638, 547, 5431, 3270, 267, 8661, 10781, 267, 543, 2226, 8404, 2509, 4797, 13120, 563, 280, 269, 9523, 707, 8906, 19100, 281, 1306, 4656, 21040, 267, 8956, 1866, 262, 1863, 786, 676, 1201, 20995, 689, 25412, 4978, 5196, 873, 269, 5502, 267, 2709, 9543, 19015, 950, 3617, 267, 5807, 7279, 543, 16882, 1851, 9905, 25054, 593, 2147, 10092, 563, 1015, 269, 13773, 8149, 547, 5571, 3408, 543, 7269, 281, 5700, 602, 31135, 707, 17326, 7645, 1582, 4564, 8806, 519, 4098, 540, 513, 15400, 1391, 4904, 609, 6024, 4720, 543, 6602, 269, 22216, 880, 1169, 4316, 547, 15052, 4296, 609, 707, 8076, 9759, 267, 8508, 1312, 2591, 543, 29217, 2059, 519, 1259, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 3590, 1677, 2920, 10675, 2659, 5564, 573, 7645, 8682, 454, 288, 342, 23818, 707, 2997, 20345, 267, 707, 17326, 7645, 1582, 568, 827, 1582, 19840, 783, 1436, 267, 20185, 543, 1565, 602, 649, 616, 1454, 811, 982, 1175, 1480, 7919, 269, 1284, 616, 17615, 7919, 609, 3970, 1652, 1761, 269, 10251, 267, 649, 723, 1044, 23553, 547, 3494, 602, 649, 616, 1945, 3116, 269, 1879, 649, 1451, 875, 547, 2661, 3544, 540, 519, 5119, 267, 5863, 1919, 2253, 547, 4755, 269, 3367, 998, 519, 6810, 2630, 585, 4481, 2966, 15004, 267, 610, 3442, 25191, 7886, 2687, 547, 707, 2115, 2047, 998, 519, 10624, 1062, 563, 13510, 20345, 2920, 10474, 3590, 454, 2690, 1346, 7247, 616, 5461, 538, 9427, 17615, 1253, 25344, 543, 1437, 908, 741, 5027, 17074, 547, 1711, 10565, 10593, 538, 741, 1272, 593, 606, 17615, 543, 2168, 1377, 269, 9596, 2859, 454, 13510, 20345, 2494, 28685, 566, 3590, 454, 2690, 1346, 7247, 616, 5461, 538, 9427, 17615, 1253, 25344, 267, 1437, 908, 5027, 17074, 267, 8391, 3532, 1437, 725, 543, 2312, 902, 998, 519, 8752, 4115, 19367, 269, 9596, 2859, 454, 13510, 20345, 3690, 325, 334, 3010, 13914, 540, 513, 2140, 585, 513, 14392, 2376, 1369, 519, 6389, 540, 834, 306, 23852, 29803, 1315, 14134, 338, 257, 602, 1223, 581, 1644, 547, 519, 1349, 1657, 269, 3973, 2328, 476, 513, 1279, 543, 1360, 2143, 5850, 827, 519, 2140, 596, 8359, 267, 538, 519, 2511, 540, 15825, 269, 634, 1543, 1058, 723, 519, 1739, 3898, 281, 7170, 23901, 12133, 25776, 21234, 285, 1007, 1899, 2999, 12133, 25996, 25606, 20101, 1684, 711, 1039, 1022, 3063, 1257, 7713, 1946, 596, 8359, 519, 2140, 563, 2521, 547, 1384, 268, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 563, 268, 3550, 9355, 543, 16566, 538, 519, 15825, 5850, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 563, 268, 7994, 513, 13598, 2140, 602, 3085, 1405, 1445, 593, 13061, 1344, 538, 519, 1357, 1349, 269, 0, 17345, 5149, 281, 5384, 31230, 7931, 1734, 538, 11470, 692, 9213, 649, 2811, 2469, 547, 2263, 513, 4241, 24848, 516, 540, 15832, 5708, 1634, 607, 942, 8520, 32741, 269, 901, 1826, 540, 1650, 10905, 2609, 540, 2648, 267, 7045, 267, 543, 9814, 609, 513, 21686, 540, 2257, 5708, 543, 14810, 269, 2913, 781, 4685, 883, 713, 9159, 1158, 1927, 2439, 1432, 616, 942, 8520, 32741, 888, 10900, 19030, 5331, 24971, 909, 1169, 1554, 1152, 547, 1265, 3054, 882, 1516, 519, 1482, 2621, 936, 543, 936, 1586, 269, 2334, 781, 519, 2596, 1523, 3297, 942, 8520, 2984, 256, 1452, 6386, 1246, 3197, 12758, 538, 513, 18110, 4783, 267, 1419, 3843, 547, 1689, 741, 12556, 610, 4194, 513, 11015, 269, 1879, 15832, 13788, 519, 4605, 267, 621, 8591, 6106, 540, 7553, 267, 6612, 267, 543, 2591, 585, 938, 12325, 543, 5869, 1149, 780, 4131, 781, 2736, 1524, 930, 1883, 2934, 540, 942, 8520, 32741, 1210, 606, 1383, 9183, 1384, 265, 2878, 30787, 4995, 589, 1507, 4884, 538, 519, 8187, 4639, 1282, 519, 3735, 476, 5197, 271, 338, 630, 324, 3052, 1421, 2372, 7398, 15880, 1916, 265, 2878, 13142, 3030, 4995, 5565, 1292, 3197, 1107, 1577, 781, 1289, 873, 670, 20087, 543, 10793, 1107, 945, 2743, 896, 8966, 6381, 563, 265, 2878, 18183, 12787, 4995, 634, 5918, 334, 9060, 2933, 16290, 538, 513, 942, 8520, 602, 759, 1115, 1169, 3141, 23438, 269, 1358, 991, 547, 4137, 856, 875, 547, 2736, 1863, 1247, 10188, 741, 3395, 4606, 585, 1142, 824, 563, 265, 2878, 4910, 1828, 4995, 3414, 16542, 267, 8990, 267, 543, 5310, 1256, 513, 3787, 540, 9059, 267, 789, 6368, 9101, 519, 942, 8520, 543, 6430, 2436, 547, 3136, 741, 2078, 3544, 540, 621, 780, 3963, 616, 942, 8520, 32741, 10578, 888, 5785, 19030, 11742, 17787, 1711, 2189, 3255, 585, 1915, 1646, 543, 4729, 23538, 269, 3962, 21767, 2636, 3197, 547, 1451, 1945, 1007, 827, 835, 1776, 543, 1106, 4514, 4296, 5103, 6616, 789, 1522, 6336, 3388, 950, 519, 8520, 1964, 11301, 269, 3958, 267, 891, 2984, 5000, 3988, 547, 31739, 2055, 899, 1384, 265, 1215, 1131, 594, 2746, 952, 594, 1336, 8885, 2713, 519, 1482, 1554, 14578, 888, 265, 2052, 3020, 2648, 22036, 998, 2789, 28868, 888, 265, 1772, 4657, 519, 2250, 4502, 1981, 532, 519, 2104, 2496, 21093, 3323, 609, 942, 8520, 32741, 454, 5785, 15365, 5649, 344, 547, 1376, 3695, 942, 8520, 32741, 2417, 286, 10670, 676, 2542, 2085, 29003, 2835, 10023, 713, 7708, 701, 269, 2368, 10372, 1331, 1384, 265, 2878, 257, 763, 21756, 5808, 16393, 6423, 257, 1262, 676, 918, 4673, 4210, 753, 517, 281, 589, 2413, 1427, 2454, 540, 14943, 684, 29992, 609, 513, 1414, 30235, 6335, 543, 2178, 11509, 4798, 563, 265, 2878, 257, 294, 1037, 32120, 4303, 257, 1262, 676, 667, 15967, 11676, 514, 630, 7224, 767, 1436, 2567, 589, 5929, 4670, 9542, 1739, 513, 4365, 2006, 7142, 547, 882, 633, 5988, 476, 273, 526, 2394, 646, 3587, 513, 1732, 1268, 563, 265, 2878, 257, 6524, 594, 12096, 257, 1262, 676, 19846, 333, 20182, 281, 589, 4207, 962, 288, 3209, 827, 513, 21717, 9575, 538, 513, 942, 8520, 593, 1200, 2063, 1554, 9800, 780, 2026, 596, 1224, 267, 2015, 7234, 519, 1739, 12987, 609, 2828, 610, 1920, 2818, 1384, 272, 269, 1548, 2994, 1705, 519, 3197, 946, 547, 11883, 609, 519, 942, 8520, 888, 273, 269, 9894, 1022, 1880, 6429, 512, 1872, 693, 707, 2295, 1598, 902, 286, 4208, 888, 274, 269, 1403, 596, 1223, 2285, 5796, 547, 519, 16502, 4433, 1070, 1018, 1131, 621, 581, 888, 275, 269, 14348, 596, 1616, 547, 1995, 513, 942, 8520, 538, 1483, 1272, 286, 11512, 1946, 610, 1946, 711, 780, 3528, 11362, 883, 942, 8520, 32741, 267, 596, 3513, 7237, 13858, 9035, 267, 20605, 3197, 267, 543, 1093, 17257, 18759, 593, 2648, 543, 1582, 22523, 269, 8414, 2542, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 12702, 7644, 307, 595, 12767, 298, 2095, 539, 22376, 1375, 880, 569, 1063, 786, 3298, 799, 29345, 3022, 9039, 1932, 30780, 2066, 922, 4514, 20115, 267, 610, 1658, 1639, 22290, 519, 22586, 21018, 602, 941, 5642, 3819, 689, 5147, 547, 5239, 267, 609, 513, 7522, 8756, 538, 519, 4099, 1141, 1018, 1216, 972, 729, 9292, 3072, 2059, 547, 519, 20115, 2630, 269, 1280, 513, 13304, 610, 811, 267, 1141, 519, 2244, 2482, 9425, 1377, 538, 513, 726, 2660, 6438, 14860, 1305, 538, 519, 2539, 15113, 267, 519, 16095, 602, 26079, 4364, 519, 20115, 729, 20639, 2620, 609, 519, 13475, 540, 519, 834, 307, 297, 909, 7146, 16365, 257, 12418, 267, 607, 519, 5595, 1395, 6945, 540, 28865, 543, 9652, 729, 1572, 563, 288, 2182, 6216, 547, 960, 267, 513, 12418, 2006, 1131, 2995, 596, 269, 8616, 519, 570, 297, 909, 7146, 16365, 23636, 2760, 8604, 547, 2333, 3564, 513, 562, 24513, 731, 569, 1614, 4627, 610, 865, 267, 1498, 519, 2372, 7398, 10443, 577, 729, 4587, 982, 922, 18459, 569, 12543, 267, 519, 27517, 1729, 1054, 595, 4490, 7577, 267, 945, 22921, 741, 12418, 676, 9937, 540, 5215, 543, 4171, 26348, 1590, 723, 12673, 540, 19939, 9640, 3284, 19991, 547, 1832, 873, 2469, 282, 4587, 1932, 982, 1082, 513, 16434, 10443, 577, 602, 1185, 25577, 1659, 327, 850, 543, 1185, 8737, 607, 1899, 2275, 10102, 540, 519, 27517, 1729, 334, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 16337, 1315, 23620, 1315, 5384, 13488, 1315, 5384, 31230, 7931, 1734, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 7705, 281, 19743, 7585, 256, 4653, 1577, 781, 2911, 827, 1945, 1572, 1514, 2257, 543, 835, 540, 922, 3584, 910, 3854, 10751, 269, 5620, 596, 2479, 4862, 827, 621, 1354, 2496, 7692, 281, 23010, 267, 594, 1589, 865, 269, 27355, 1405, 621, 950, 2576, 1281, 1945, 2731, 3983, 543, 4991, 27052, 676, 1373, 2322, 547, 2669, 2496, 8334, 281, 22549, 256, 3767, 267, 798, 596, 917, 1946, 649, 723, 3652, 610, 4031, 538, 938, 2486, 2496, 7692, 281, 8786, 267, 1317, 1510, 3652, 267, 3025, 1131, 1175, 798, 8726, 789, 1616, 543, 972, 1131, 581, 14784, 2439, 8334, 281, 2334, 781, 1318, 256, 1656, 952 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 476, 1220, 280, 454, 15803, 281, 476, 275, 1240, 11152, 692, 20132, 19560, 476, 12553, 279, 2420, 1496, 271, 3910, 2016, 281, 476, 13199, 10695, 692, 2162, 8058, 16193, 692, 1724, 4924, 476, 1001, 274, 267, 476, 4905, 281, 7367, 454, 10499, 294, 5206, 912, 289, 684, 3241, 5206, 912, 1015, 269, 1703, 568, 693, 2547, 835, 19274, 704, 543, 693, 2547, 835, 25865, 571, 538, 17455, 7702, 781, 4216, 269, 1215, 1082, 25865, 6652, 616, 972, 2496, 5226, 924, 16602, 780, 263, 272, 264, 1703, 616, 2698, 476, 4200, 15315, 538, 17455, 7702, 781, 4216, 269, 22682, 13385, 780, 263, 273, 264, 3245, 1022, 1079, 15315, 689, 17455, 7702, 781, 4216, 693, 2547, 835, 568, 513, 19274, 704, 269, 4595, 689, 4888, 312, 1079, 15315, 835, 568, 513, 19274, 704, 1287, 972, 666, 711, 581, 476, 273, 630, 528, 811, 264, 25865, 6652, 543, 2094, 972, 568, 693, 2547, 835, 25865, 571, 1287, 972, 1590, 581, 4010, 835, 25865, 571, 538, 519, 4216, 269, 2672, 2310, 780, 933, 1223, 849, 9959, 602, 972, 568, 849, 835, 19274, 704, 13131, 286, 2496, 5591, 267, 602, 781, 711, 3020, 269, 3245, 519, 2034, 3948, 649, 723, 602, 972, 1590, 581, 835, 25865, 571, 538, 519, 4216, 267, 855, 782, 649, 666, 2161, 827, 642, 760, 619, 568, 602, 972, 1590, 581, 693, 2547, 835, 780, 2690, 1383, 267, 972, 666, 581, 476, 272, 25865, 571, 543, 476, 272, 19274, 704, 267, 610, 476, 272, 25865, 571, 543, 476, 273, 642, 760, 619, 267, 476, 272, 25865, 571, 543, 476, 4649, 642, 760, 619, 1862, 769, 782, 891, 2665, 689, 1022, 1079, 15315, 689, 519, 4216, 693, 2547, 835, 786, 581, 19274, 704, 780, 28775, 621, 781, 2312, 563, 6303, 318, 692, 20132, 19560, 476, 12553, 279, 2420, 1496, 271, 3910, 2016, 281, 476, 13199, 10695, 692, 17445, 528, 454, 1805, 9850, 281, 22167, 3534, 4224, 713, 942, 8627, 2336, 16274, 281, 476, 2420, 7325, 476, 1001, 273, 454, 15803, 281, 476, 2004, 280, 692, 20132, 19560, 476, 7761, 1496, 271, 3910, 2016, 281, 476, 6321, 273, 692, 19613, 281, 3127, 454, 29479, 476, 272, 281, 476, 25953, 1627, 6246, 966, 4097, 454, 29479, 476, 273, 281, 476, 30697, 1627, 5325, 966, 3066, 454, 25446, 281, 6176, 5303, 630, 20663, 12229, 2020, 2162, 8058, 16193, 692, 1724, 4924, 476, 1001, 274, 267, 476, 2641, 281, 5400, 454, 289, 684, 3241, 5206, 912, 273, 269, 1403, 562, 568, 513, 2318, 8870, 543, 533, 568, 513, 6305, 1297, 267, 568, 533, 513, 3815, 540, 562, 256, 2496, 263, 272, 264, 533, 568, 513, 3815, 540, 630, 333, 266, 273, 25631, 268, 333, 256, 25341, 952, 3230, 333, 284, 273, 2330, 1287, 30967, 333, 266, 273, 25631, 268, 333, 256, 284, 2420, 2330, 543, 585, 3230, 335, 284, 273, 2330, 1287, 2626, 786, 581, 962, 2464, 855, 585, 3230, 335, 284, 1556, 2330, 519, 2626, 786, 581, 12971, 269, 3502, 6190, 780, 263, 273, 264, 533, 568, 513, 3815, 540, 630, 333, 266, 273, 264, 24425, 333, 256, 25341, 6695, 2765, 18950, 333, 266, 273, 25631, 2410, 333, 256, 13157, 263, 333, 266, 272, 7565, 333, 266, 273, 14638, 25341, 952, 3230, 333, 284, 273, 2330, 1287, 30967, 333, 266, 272, 7565, 333, 266, 273, 6661, 1321, 2330, 543, 585, 3230, 335, 284, 273, 2330, 1287, 2626, 786, 581, 962, 2464, 855, 585, 3230, 335, 284, 274, 2330, 519, 2626, 786, 581, 12971, 269, 3502, 6190, 780, 263, 272, 11924, 263, 273, 264, 30967, 333, 266, 273, 25631, 268, 333, 256, 284, 333, 256, 9230, 333, 266, 272, 7565, 333, 266, 273, 9984, 272, 14638, 269, 3767, 267, 30967, 333, 266, 272, 7565, 333, 266, 273, 9984, 272, 2330, 543, 30967, 333, 266, 272, 7565, 333, 266, 273, 14638, 616, 15654, 9981, 269, 5565, 15654, 9981, 616, 1071, 17376, 830, 267, 799, 1797, 602, 789, 1810, 1405, 2671, 4888, 312, 1455, 3815, 855, 476, 272, 269, 1280, 1383, 476, 736, 543, 476, 2641, 616, 15654, 9981, 267, 3976, 1152, 1455, 3815, 789, 2671, 568, 476, 272, 269, 1924, 267, 607, 689, 630, 273, 264, 3230, 335, 2330, 568, 513, 3815, 540, 30967, 333, 266, 272, 7565, 333, 266, 273, 14638, 1287, 621, 666, 711, 581, 513, 3815, 540, 30967, 333, 266, 272, 7565, 333, 266, 273, 9984, 272, 18079, 3976, 538, 1931, 3230, 335, 2330, 547, 581, 513, 3815, 540, 3230, 333, 256, 265, 9230, 333, 266, 272, 7565, 333, 266, 273, 9984, 272, 14638, 267, 689, 630, 272, 1070, 1287, 621, 1058, 581, 513, 3815, 540, 519, 1101, 2789, 540, 713, 4082, 281, 3230, 333, 256, 21974, 2672, 2310, 780, 289, 684, 3241, 2676, 296, 1705, 711, 1174, 519, 2630, 912, 28387, 538, 1931, 3230, 335, 2330, 547, 581, 513, 3815, 540, 3230, 333, 256, 265, 9230, 333, 266, 272, 7565, 333, 266, 273, 9984, 272, 14638, 267, 689, 630, 272, 1070, 1287, 621, 1058, 581, 513, 3815, 540, 519, 1101, 2789, 540, 713, 4082, 281, 3230, 333, 256, 9681, 6303, 318, 692, 327, 2100, 568, 513, 1434, 3364, 267, 6148, 519, 1655, 540, 1919, 269, 1656, 1100, 1434, 3364, 2479, 10523, 780, 8005, 3081, 596, 991, 513, 476, 10384, 7790, 13425, 713, 856, 2433, 5291, 2517, 326, 3901, 743, 889, 2593, 270, 1721, 636, 270, 15367, 1606, 904, 3917, 537, 16250, 539, 8584, 268, 14983, 3583, 277, 11258, 258, 335, 6344, 14689, 276, 692, 7069, 17918, 17714, 2433, 5291, 2517, 326, 3901, 743, 889, 2593, 270, 1721, 636, 270, 754, 6361, 2173, 344, 3766, 3901, 18191, 712, 2284, 268, 14983, 29044, 11258, 258, 335, 15686, 278, 4200, 273, 692, 20132, 19560, 476, 7761, 1496, 271, 3910, 2016, 281, 476, 6321, 273, 692, 13043, 16869, 454, 16274, 281, 476, 6349, 9484, 476, 1220, 280, 454, 15803, 281, 476, 275, 1240, 11152, 692, 20132, 19560, 476, 12553, 279, 2420, 1496, 272, 3910, 2016, 281, 476, 13199, 10695, 692, 2162, 8058, 16193, 692, 1691, 4924, 476, 1001, 274, 267, 476, 6349, 281, 6795, 454, 272, 454, 298, 11070, 5308, 454, 2750, 13630, 781, 2022, 454, 306, 778, 514, 280, 5206, 912, 289, 684, 3241, 5206, 912, 273, 269, 1403, 562, 568, 513, 2318, 8870, 543, 533, 568, 513, 6305, 1297, 267, 568, 533, 513, 3815, 540, 562, 256, 2496, 263, 272, 264, 533, 568, 513, 3815, 540, 630, 333, 266, 273, 25631, 268, 333, 256, 25341, 952, 3230, 333, 284, 273, 2330, 1287, 30967, 333, 266, 273, 25631, 268, 333, 256, 284, 2420, 2330, 543, 585, 3230, 335, 284, 273, 2330, 1287, 2626, 786, 581, 962, 2464, 855, 585, 3230, 335, 284, 1556, 2330, 519, 2626, 786, 581, 12971, 269, 3502, 6190, 780, 263, 273, 264, 533, 568, 513, 3815, 540, 630, 333, 266, 273, 264, 24425, 333, 256, 25341, 6695, 2765, 18950, 333, 266, 273, 25631, 2410, 333, 256, 13157, 263, 333, 266, 272, 7565, 333, 266, 273, 14638, 25341, 952, 3230, 333, 284, 273, 2330, 1287, 30967, 333, 266, 272, 7565, 333, 266, 273, 6661, 1321, 2330, 543, 585, 3230, 335, 284, 273, 2330, 1287, 2626, 786, 581, 962, 2464, 855, 585, 3230, 335, 284, 274, 2330, 519, 2626, 786, 581, 12971, 269, 3502, 6190, 780, 263, 272, 11924, 263, 273, 264, 30967, 333, 266, 273, 25631, 268, 333, 256, 284, 333, 256, 9230, 333, 266, 272, 7565, 333, 266, 273, 9984, 272, 14638, 269, 3767, 267, 30967, 333, 266, 272, 7565, 333, 266, 273, 9984, 272, 2330, 543, 30967, 333, 266, 272, 7565, 333, 266, 273, 14638, 616, 15654, 9981, 269, 5565, 15654, 9981, 616, 1071, 17376, 830, 267, 799, 1797, 602, 789, 1810, 1405, 2671, 4888, 312, 1455, 3815, 855, 476, 272, 269, 1280, 1383, 476, 736, 543, 476, 2641, 616, 15654, 9981, 267, 3976, 1152, 1455, 3815, 789, 2671, 568, 476, 272, 269, 1924, 267, 607, 689, 630, 273, 264, 3230, 335, 2330, 568, 513, 3815, 540, 30967, 333, 266, 272, 7565, 333, 266, 273, 14638, 1287, 621, 666, 711, 581, 513, 3815, 540, 30967, 333, 266, 272, 7565, 333, 266, 273, 9984, 272, 18079, 3976, 538, 1931, 3230, 335, 2330, 547, 581, 513, 3815, 540, 3230, 333, 256, 265, 9230, 333, 266, 272, 7565, 333, 266, 273, 9984, 272, 14638, 267, 689, 630, 272, 1070, 1287, 621, 1058, 581, 513, 3815, 540, 519, 1101, 2789, 540, 713, 4082, 281, 3230, 333, 256, 21974, 2672, 2310, 780, 289, 684, 3241, 2676, 296, 1705, 711, 1174, 519, 2630, 912, 28387, 538, 1931, 3230, 335, 2330, 547, 581, 513, 3815, 540, 3230, 333, 256, 265, 9230, 333, 266, 272, 7565, 333, 266, 273, 9984, 272, 14638, 267, 689, 630, 272, 1070, 1287, 621, 1058, 581, 513, 3815, 540, 519, 1101, 2789, 540, 713, 4082, 281, 3230, 333, 256, 9681, 2171, 3893, 602, 6305, 1297, 533, 568, 10691, 513, 3815, 540, 30967, 333, 266, 272, 7565, 333, 266, 273, 9984, 272, 2330, 855, 621, 4959, 513, 3815, 540, 3230, 333, 256, 265, 9230, 333, 266, 272, 7565, 333, 266, 273, 9984, 272, 14638, 267, 3976, 621, 1590, 581, 513, 3815, 540, 562, 256, 780, 2690, 1383, 267, 952, 649, 616, 5143, 602, 476, 274, 4959, 513, 3815, 540, 27976, 630, 3602, 1535, 543, 586, 616, 2318, 9981, 264, 543, 568, 10691, 513, 3815, 540, 586, 267, 1287, 621, 530, 1245, 1611, 602, 476, 274, 4959, 513, 3815, 540, 1535, 780, 28775, 621, 781, 2312, 563, 6303, 318, 692, 20132, 19560, 476, 12553, 279, 2420, 1496, 272, 3910, 2016, 281, 476, 13199, 10695, 692, 300, 10621, 8791, 10615, 454, 1805, 9850, 281, 7982, 547, 960, 2483, 288, 742, 8270, 725, 281, 17918, 11833, 454, 16274, 281, 476, 2420, 4924, 476, 1001, 273, 454, 15803, 281, 476, 30420, 278, 692, 20132, 19560, 476, 24907, 279, 1496, 271, 3910, 2016, 281, 476, 26237, 271, 692, 19613, 281, 3127, 454, 30949, 281, 623, 2317, 454, 29479, 476, 272, 281, 476, 27151, 1627, 5392, 966, 4097, 454, 294, 5183, 281, 476, 274, 269, 275, 692, 2162, 8058, 16193, 692, 1428, 4924, 476, 1001, 274, 267, 476, 1691, 281, 1789, 454, 289, 684, 3241, 5206, 912, 279, 269, 1403, 533, 568, 513, 2318, 8870, 267, 1018, 568, 519, 14230, 950, 533, 317, 273, 568, 5258, 676, 476, 1321, 2496, 263, 272, 264, 533, 568, 3152, 982, 476, 274, 563, 263, 273, 264, 533, 568, 513, 6305, 780, 263, 272, 264, 533, 568, 3152, 982, 476, 274, 269, 22682, 13385, 281, 1114, 2418, 540, 3230, 335, 2330, 786, 2285, 1114, 2418, 540, 519, 14230, 563, 263, 273, 264, 533, 568, 513, 6305, 269, 4746, 13385, 281, 952, 3230, 335, 284, 273, 2330, 1287, 519, 14230, 568, 476, 275, 855, 952, 3230, 335, 284, 274, 2330, 1287, 519, 14230, 568, 476, 280, 780, 263, 272, 11924, 263, 273, 264, 1411, 666, 8399, 609, 1297, 726, 19982, 543, 2119, 1896, 6305, 2338, 3152, 982, 476, 274, 547, 1294, 602, 519, 14230, 786, 2141, 581, 476, 272, 630, 1721, 1383, 2119, 3230, 335, 284, 276, 18079, 3230, 335, 284, 278, 18079, 3230, 335, 284, 1556, 2330, 6393, 2252, 596, 1616, 547, 5595, 27902, 713, 609, 7223, 596, 1058, 4019, 519, 1739, 3959, 540, 519, 6305, 1297, 281, 1022, 6305, 1297, 3152, 982, 476, 274, 666, 581, 6829, 2901, 607, 3230, 335, 284, 277, 333, 266, 272, 2330, 610, 3230, 335, 284, 277, 333, 268, 272, 29634, 2252, 3230, 335, 284, 277, 333, 266, 272, 2330, 1287, 3230, 335, 317, 273, 284, 3607, 333, 317, 273, 266, 1321, 333, 266, 272, 2330, 799, 3947, 14230, 476, 272, 950, 5258, 676, 476, 1321, 16963, 2252, 3230, 335, 284, 277, 333, 268, 272, 2330, 1287, 3230, 335, 317, 273, 284, 3607, 333, 317, 273, 268, 1321, 333, 266, 272, 2330, 799, 849, 3947, 14230, 476, 272, 950, 5258, 676, 476, 1321, 780, 32091, 645, 7419, 308, 5085, 2676, 527, 568, 952, 1022, 6305, 1297, 3152, 982, 610, 3160, 547, 476, 276, 5258, 676, 476, 1321, 610, 476, 2190, 519, 6498, 786, 4734, 519, 14230, 607, 476, 272, 2141, 563, 852, 14230, 950, 533, 317, 273, 270, 1321, 786, 581, 1482, 607, 602, 540, 533, 270, 1321, 454, 810, 1775, 1589, 782, 649, 991, 547, 917, 568, 2436, 533, 568, 6305, 3152, 982, 610, 3160, 547, 476, 276, 563, 28557, 2496, 6781, 6062, 329, 527, 454, 6303, 318, 692, 20132, 19560, 476, 24907, 279, 1496, 271, 3910, 2016, 281, 476, 26237, 271, 692, 12421, 454, 16274, 281, 476, 1556, 4924, 476, 1001, 274, 454, 15803, 281 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4481, 2966, 547, 1685, 519, 5599, 1184, 563, 763, 6789, 2975, 13863, 6971, 1379, 4616, 543, 11250, 909, 519, 5599, 1184, 563, 30531, 8314, 5599, 20115, 454, 4322, 20115, 941, 2813, 547, 9004, 519, 7411, 538, 519, 5599, 1184, 267, 543, 713, 1184, 568, 2944, 676, 11018, 19379, 547, 1265, 1732, 3435, 982, 1018, 835, 1295, 518, 1522, 798, 563, 4322, 4600, 616, 30039, 14350, 267, 2687, 547, 519, 2179, 540, 960, 2944, 676, 1142, 4496, 563, 763, 1297, 540, 3681, 585, 3257, 713, 1184, 568, 2810, 5063, 267, 855, 1818, 513, 6718, 568, 711, 2653, 267, 607, 835, 945, 814, 1100, 1995, 538, 713, 2361, 1131, 2503, 563, 5278, 3787, 23915, 798, 711, 2154, 1569, 547, 519, 3060, 610, 519, 946, 540, 513, 19682, 23129, 547, 3489, 621, 267, 543, 649, 666, 4444, 519, 3059, 9304, 2687, 547, 938, 991, 563, 10501, 6275, 11083, 16039, 616, 513, 1360, 1007, 1523, 267, 543, 891, 6191, 1683, 513, 811, 4357, 9140, 1995, 563, 4322, 3457, 723, 13175, 547, 2408, 538, 513, 1804, 1259, 1472, 519, 1158, 267, 543, 519, 1297, 540, 3457, 568, 7683, 2810, 563, 763, 9304, 540, 891, 3457, 950, 7231, 609, 873, 9832, 1063, 630, 274, 260, 543, 476, 279, 15992, 538, 1840, 547, 519, 3339, 5385, 2557, 563, 4913, 267, 713, 1995, 2488, 3755, 609, 811, 7834, 547, 6718, 3787, 23915, 563, 2414, 1118, 513, 11670, 6718, 782, 649, 723, 547, 798, 568, 7696, 519, 6666, 883, 519, 11670, 11083, 300, 267, 11571, 519, 30040, 3009, 540, 519, 23129, 610, 998, 513, 1957, 2256, 18967, 602, 786, 1683, 596, 609, 519, 2556, 1344, 543, 9479, 593, 875, 547, 4483, 519, 2724, 547, 707, 23129, 563, 572, 1184, 267, 543, 713, 568, 862, 839, 23847, 609, 519, 8560, 602, 11670, 814, 6591, 563, 4322, 15377, 949, 1256, 3914, 2477, 1141, 19682, 814, 1044, 17049, 267, 610, 2477, 1141, 621, 568, 10363, 563, 2750, 4219, 6191, 666, 581, 1336, 998, 519, 11837, 3028, 3177, 676, 519, 2754, 267, 585, 1383, 3213, 514, 11083, 300, 7101, 541, 563, 4322, 6486, 616, 20822, 543, 616, 1031, 1317, 789, 616, 14949, 982, 6666, 267, 865, 596, 946, 19682, 547, 4444, 10516, 6486, 563, 763, 10516, 6486, 2933, 666, 581, 28099, 14855, 585, 19682, 563, 5472, 649, 723, 547, 798, 568, 4444, 10516, 6486, 585, 10685, 8637, 267, 543, 1287, 649, 2845, 883, 519, 11670, 5385, 1141, 891, 6486, 616, 7608, 676, 930, 23965, 267, 585, 1383, 630, 289, 4242, 995, 267, 2199, 9779, 23915, 1070, 543, 1287, 649, 2347, 519, 6718, 1184, 563, 763, 22673, 949, 1616, 547, 13182, 519, 3556, 267, 676, 7487, 606, 4890, 3239, 540, 519, 10516, 3009, 593, 519, 1394, 540, 519, 3556, 267, 607, 1134, 607, 519, 4558, 2256, 18967, 689, 799, 649, 12349, 563, 4407, 538, 930, 2665, 519, 22673, 786, 3411, 823, 609, 513, 3009, 998, 519, 3060, 267, 610, 998, 606, 5907, 3009, 563, 1607, 1184, 568, 2808, 5150, 543, 519, 3556, 1344, 666, 581, 2016, 547, 519, 22673, 269, 901, 568, 1317, 2899, 596, 1376, 519, 6718, 1184, 267, 519, 2179, 540, 11113, 596, 1616, 547, 4444, 786, 581, 538, 519, 15896, 540, 519, 3896, 8850, 563, 1692, 547, 4688, 609, 19682, 10516, 6486, 454, 294, 3424, 6486, 616, 4421, 693, 476, 2568, 260, 540, 741, 1871, 676, 1082, 21625, 563, 11997, 267, 713, 1184, 540, 9140, 19682, 666, 4688, 513, 2603, 540, 2724, 563, 11693, 519, 8795, 1871, 540, 519, 6486, 267, 789, 666, 581, 2808, 606, 5140, 1259, 547, 4558, 3787, 23915, 563, 4517, 609, 1022, 1505, 540, 9140, 936, 519, 5769, 267, 649, 1590, 581, 2264, 540, 1346, 945, 2119, 547, 1219, 571, 644, 538, 713, 1858, 267, 543, 945, 2119, 547, 21102, 2724, 689, 721, 563, 3383, 1118, 2386, 596, 1152, 4308, 609, 11967, 1004, 563, 13295, 267, 649, 723, 12943, 519, 2243, 267, 1018, 568, 11670, 543, 875, 666, 596, 2445, 621, 29845, 519, 1259, 547, 2445, 11670, 267, 519, 1259, 547, 4688, 621, 543, 1205, 547, 917, 519, 11083, 16039, 267, 543, 519, 1259, 547, 1118, 543, 9553, 11670, 269, 0, 299, 871, 540, 4065, 15486, 26521, 543, 32641, 32641, 568, 513, 16023, 602, 930, 1004, 8909, 569, 723, 2221, 269, 898, 729, 513, 1390, 4308, 950, 519, 10553, 4123, 3323, 538, 519, 476, 8182, 271, 338, 22829, 18561, 1040, 32641, 568, 535, 27547, 2390, 2221, 267, 1317, 538, 2221, 781, 2486, 621, 568, 4397, 547, 3398, 3025, 779, 5198, 267, 4984, 267, 543, 2123, 3903, 269, 4653, 1034, 540, 721, 723, 519, 1702, 547, 1174, 519, 1004, 602, 616, 1114, 543, 1946, 789, 616, 1114, 269, 18972, 723, 3982, 4162, 689, 519, 1858, 593, 799, 741, 11937, 2097, 689, 1472, 519, 1158, 269, 6969, 2221, 267, 782, 14797, 689, 782, 1472, 519, 1158, 24565, 824, 14797, 585, 741, 1114, 4162, 269, 634, 10782, 10168, 15435, 1634, 547, 812, 568, 519, 3345, 4892, 9467, 3979, 10437, 269, 6271, 29695, 7130, 1996, 5198, 729, 1282, 2622, 2782, 4083, 950, 519, 2868, 12151, 7018, 269, 4653, 1977, 3885, 1869, 723, 513, 771, 3697, 547, 824, 14797, 267, 855, 789, 616, 4466, 856, 602, 891, 14797, 616, 1175, 3339, 3425, 899, 2933, 269, 634, 3668, 540, 2069, 568, 2219, 547, 581, 513, 2101, 1909, 538, 10168, 22829, 18561, 1040, 2560, 19651, 811, 1543, 7498, 763, 3345, 3013, 779, 2029, 729, 711, 693, 621, 779, 5933, 540, 8778, 832, 543, 3771, 1407, 1562, 267, 543, 6705, 941, 711, 9878, 2614, 585, 519, 3043, 2551, 547, 979, 856, 543, 7556, 519, 7031, 269, 1452, 6666, 7693, 6705, 1705, 711, 1616, 547, 6318, 519, 2628, 547, 2743, 519, 3044, 585, 960, 267, 865, 789, 6430, 547, 4444, 10437, 585, 1360, 10464, 689, 519, 3979, 4622, 22829, 18561, 1040, 634, 3668, 540, 2029, 693, 891, 2053, 1291, 891, 6705, 547, 1589, 540, 3478, 1360, 10464, 4074, 267, 543, 713, 4547, 593, 519, 3109, 10437, 269, 634, 3668, 540, 2069, 593, 519, 8105, 2029, 4061, 5342, 519, 10553, 4123, 593, 519, 3109, 454, 12812, 1934, 547, 12260, 713, 543, 936, 835, 2929, 3594, 17004, 2859, 454, 763, 2262, 10168, 568, 513, 2165, 1031, 547, 4766, 519, 5156, 3604, 1063, 1004, 540, 1114, 4778, 267, 1317, 540, 7592, 267, 26069, 267, 610, 7214, 23258, 269, 1452, 9228, 3604, 2014, 513, 22457, 1268, 547, 1521, 513, 1268, 540, 2681, 538, 2081, 602, 1131, 581, 796, 23100, 539, 676, 1034, 1004, 538, 741, 1378, 5198, 269, 476, 901, 2259, 267, 10168, 267, 729, 15748, 538, 519, 476, 1704, 628, 2540, 547, 3895, 610, 17854, 519, 946, 540, 10437, 538, 1018, 729, 547, 1831, 519, 2136, 2276, 269, 32641, 568, 20582, 676, 1082, 1797, 1519, 519, 23573, 267, 2257, 267, 543, 19858, 6436, 269, 589, 7839, 3909, 1739, 538, 519, 17113, 2968, 519, 4493, 585, 10343, 540, 10168, 1210, 519, 23573, 585, 24134, 269, 898, 10443, 883, 524, 2483, 4131, 779, 2253, 609, 10168, 267, 799, 7389, 1394, 547, 607, 2484, 607, 3425, 666, 3314, 269, 968, 2005, 949, 581, 3989, 607, 519, 23998, 540, 835, 1268, 676, 1776, 4534, 610, 519, 3661, 602, 1776, 1268, 568, 1447, 982, 1480, 4534, 1317, 540, 2960, 2681, 267, 1893, 267, 9821, 267, 1747, 540, 4332, 610, 1022, 3815, 602, 27581, 8761, 519, 2596, 2470, 540, 602, 1268, 269, 898, 814, 6766, 10617, 267, 8474, 267, 519, 5250, 540, 6082, 267, 543, 3656, 9479, 892, 2290, 540, 519, 1034, 1634, 6411, 540, 10168, 729, 519, 17760, 29713, 540, 20338, 538, 519, 1007, 1158, 269, 901, 10168, 729, 513, 1267, 540, 519, 22457, 3661, 602, 3109, 20338, 941, 1447, 1480, 982, 3043, 17417, 563, 305, 659, 1143, 666, 581, 14360, 1394, 1082, 1296, 267, 543, 5103, 1018, 1082, 3494, 267, 621, 568, 1869, 513, 7986, 3390, 269, 32641, 568, 950, 1004, 5806, 3729, 1866, 1317, 540, 519, 2681, 540, 741, 2960, 269, 2368, 1004, 616, 22457, 593, 3483, 267, 855, 972, 616, 2053, 950, 789, 798, 621, 1016, 4621, 19290, 269, 18421, 538, 713, 1158, 814, 513, 4098, 267, 543, 10168, 3323, 609, 519, 3661, 602, 1004, 540, 2681, 941, 17071, 547, 1346, 602, 14201, 1406, 269, 901, 3661, 3262, 2429, 3013, 607, 621, 729, 5293, 1524, 689, 5108, 547, 5108, 269, 32641, 4667, 547, 581, 513, 8984, 540, 1373, 1480, 269, 1879, 649, 616, 5189, 547, 513, 1007, 3068, 938, 2247, 8850, 11008, 3278, 1004, 1759, 1055, 540, 741, 2168, 5920, 269, 1879, 1004, 1810, 1406, 2743, 1978, 4441, 1305, 676, 1866, 267, 972, 3587, 513, 7941, 1063, 873, 454, 305, 659, 1143, 568, 3989, 607, 4057, 2126, 540, 610, 5208, 1996, 1004, 1317, 540, 741, 5198, 610, 519, 3661, 602, 930, 14797, 540, 1004, 616, 9120, 547, 1866, 269, 901, 3661, 814, 1044, 1128, 2683, 538, 1004, 585, 5553, 269, 1452, 4978, 723, 5594, 14016, 730, 1813, 547, 519, 3540, 2924, 3350, 269, 1717, 267, 22457, 4978, 723, 7307, 547, 581, 5293, 1524, 689, 5108, 547, 5108, 799, 568, 1946, 10168, 568, 1869, 3833, 11342, 2221, 563, 305, 659, 1143, 630, 333, 2567, 519, 14882, 602, 2818, 540, 835, 5198, 616, 11371, 1231, 1227, 9120, 547, 2818, 540, 824, 5198, 630, 17504, 6339, 3406, 267, 476, 272, 1070, 513, 11786, 1888, 538, 2221, 779, 2486, 267, 513, 1641, 602, 1082, 1004, 2119, 547, 30908, 896, 519, 24821, 267, 855, 2943, 513, 17672, 1966, 602, 814, 1044, 1459, 538, 3013, 2094, 519, 7810, 5736, 269, 4024, 713, 14196, 2097, 547, 513, 26699, 286, 2052, 782, 4892, 1294, 1142, 824, 607, 11224, 5103, 741, 2960, 2681, 543, 22874, 282, 543, 1018, 1909, 814, 621, 5129, 538, 2250, 5481, 8957, 2221, 779, 5481, 543, 875, 786, 621, 1860, 938, 2104, 286, 13201, 713, 593, 2469, 1259, 540, 3206, 20335, 1732, 610, 8338, 286, 1452, 616, 2055, 6659, 950, 1082, 1589, 827, 519, 1641, 282, 2523, 2818, 540, 1977, 6803, 2516, 543, 10080, 267, 1317, 1034, 723, 18808, 609, 7292, 7130, 538, 741, 1272, 942, 563, 5575, 540, 782, 267, 10168, 543, 7130, 568, 708, 5523, 4765, 2620, 538, 1480, 1686, 2469, 20991, 1394, 982, 1034, 1004, 1589, 269, 26521, 666, 581, 14360, 1394, 607, 2484, 607, 519, 10120, 2053, 950, 972, 729, 513, 1362, 1062, 269, 634, 2539, 1362, 941, 1419, 519, 22063, 540, 519, 5580, 1362, 543, 621, 729, 2808, 3339, 269, 769, 1977, 1686, 267, 519, 1292, 3597, 540, 454, 305, 659, 1143, 568, 519, 5134, 13015, 540, 513, 1895, 540, 1004, 593, 519, 4493, 540, 5198, 267, 2681, 267, 4984, 267, 3084, 5169, 267, 1747, 540, 5169, 267, 610, 22693, 269, 634, 2165, 10168, 949, 849, 20301, 513, 9420, 543, 11389, 1783, 532, 23998, 267, 679, 11803, 267, 610, 14882, 630, 291, 574, 5014, 540, 32641, 1040, 32641, 814, 1185, 513, 2178, 1198, 593, 2486, 269, 6736, 519, 1082, 3646, 1500, 547, 13468, 10168, 267, 1018, 568, 519, 2104, 540, 3979, 4892, 262, 32641, 781, 1279, 1686, 267, 1271, 3401, 267, 1699, 4567, 267, 543, 2104, 19773, 786, 581, 519, 1292, 2188, 538, 8159, 875, 547, 8396, 10168, 269, 32641, 568, 1869, 1459, 538, 1082, 7239, 267, 4352, 1082, 1004, 616, 3257, 741, 1655, 547, 2322, 606, 1439, 547, 10168, 543, 922, 10169, 13249, 610, 1372, 1023, 563, 305, 659, 1143, 666, 581, 3989, 607, 834, 1415, 1305, 540, 4978, 267, 799, 1362, 5809, 8103, 883, 3982, 2445, 1161, 267, 3989, 538, 2474, 540, 2067, 543, 5924, 2686, 10305, 267, 543, 16034, 891, 10305, 538, 513, 15796, 540, 27166, 543, 17071, 640, 257, 630, 7922, 636, 476, 276, 1040, 898, 666, 581, 2047, 5532, 547, 519, 2250, 543, 1869, 267, 5553, 2663, 267, 5713, 607, 513, 11213, 12576, 602, 5198, 5170, 547, 581, 835, 540, 519, 834, 3333, 17369, 652, 543, 27811, 15523, 538, 1977, 1272, 257, 630, 299, 334, 1168, 523, 476, 15946, 1040, 1548, 941, 519, 3123, 540, 10168, 286, 1215, 1705, 621, 1020, 13840, 286, 769, 1931, 547, 2626, 1346, 1950, 2055, 267, 594, 1544, 547, 4983, 519, 2175, 540, 3013, 781, 1686, 689, 19525, 547, 1459, 1554, 2486, 269, 898, 729, 891, 2175, 540, 3013, 781, 2250, 602, 15469, 519, 1646, 540, 22457, 2853, 543, 2093, 602, 3136, 547, 581, 17947, 676, 1082, 547, 713, 1554, 563, 305, 659, 1143, 568, 1945, 602, 814, 1044, 1472, 267, 10416, 3425, 12199, 519, 1158, 892, 607, 596, 666, 2161, 269, 901, 814, 1044, 2469, 593, 585, 513, 1247, 1631, 267, 621, 779, 1044, 3478, 856, 540, 1852, 269, 1411, 949, 3314, 9410, 13162, 3751, 12789, 269, 543 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3848, 476, 1626, 281, 5516, 619, 538, 1290, 545, 3203, 692, 5970, 596, 2479, 13603, 909, 513, 8642, 3209, 610, 1166, 5792, 998, 519, 3817, 540, 513, 13371, 1433, 543, 14952, 539, 693, 519, 10875, 11247, 543, 9159, 2984, 286, 5620, 596, 2479, 9289, 945, 5932, 891, 6909, 10600, 543, 3197, 602, 649, 4312, 2097, 547, 917, 543, 2648, 286, 769, 713, 3184, 267, 649, 786, 2263, 1079, 11678, 538, 13371, 1148, 910, 1373, 513, 13371, 7376, 543, 606, 3879, 15249, 910, 1210, 1483, 3734, 1806, 540, 4648, 538, 741, 9757, 4610, 269, 1284, 786, 1451, 827, 1018, 6273, 873, 547, 11654, 741, 18653, 267, 741, 3860, 3157, 267, 543, 875, 789, 8694, 909, 23712, 593, 606, 3078, 1007, 1788, 1927, 780, 4467, 545, 30310, 281, 8834, 654, 691, 2006, 454, 28598, 288, 13371, 7376, 568, 2576, 945, 11339, 543, 14405, 14676, 267, 9256, 1312, 3308, 543, 5339, 2609, 883, 513, 23887, 2239, 269, 1358, 616, 3743, 585, 2870, 3003, 5203, 525, 4904, 609, 4277, 3197, 267, 5468, 267, 543, 13602, 269, 1677, 1831, 513, 3811, 13371, 7376, 267, 835, 1590, 1020, 2178, 1983, 538, 2127, 971, 607, 1915, 1374, 267, 1158, 20761, 267, 5133, 267, 543, 9423, 780, 2162, 20821, 8834, 654, 691, 2006, 692, 256, 314, 15862, 540, 8834, 654, 691, 2006, 28488, 10059, 2517, 16129, 269, 2897, 14516, 2593, 270, 1220, 343, 7742, 2020, 30681, 654, 691, 2006, 8057, 909, 15962, 1414, 30235, 2982, 10023, 28531, 7068, 267, 6946, 6191, 267, 543, 26300, 15362, 2951, 269, 3245, 513, 1360, 2038, 2085, 267, 646, 3459, 5373, 1010, 1378, 12496, 540, 891, 19511, 2035, 1210, 4986, 811, 982, 513, 2241, 15513, 269, 901, 6612, 3366, 1864, 1524, 513, 2619, 2509, 13197, 513, 4876, 538, 13371, 26274, 269, 4653, 267, 8834, 29084, 538, 3687, 928, 24550, 267, 16506, 267, 1141, 646, 21356, 1010, 942, 1063, 8888, 1282, 519, 1554, 543, 13167, 11617, 11495, 14676, 950, 646, 3884, 1405, 2324, 780, 2971, 24531, 834, 7437, 519, 9855, 5016, 2691, 4843, 609, 519, 4316, 547, 3565, 547, 519, 5137, 540, 519, 13371, 9542, 540, 519, 2442, 19347, 3126, 834, 7437, 519, 9855, 2437, 8834, 23362, 7608, 1813, 547, 922, 12972, 609, 1010, 4690, 543, 3105, 2833, 269, 3571, 22906, 609, 2257, 5708, 6386, 1500, 713, 1788, 3226, 13267, 269, 2060, 1010, 3573, 4282, 538, 20515, 824, 28601, 10643, 899, 3683, 519, 9931, 543, 12942, 3691, 6033, 267, 2059, 609, 1010, 23440, 609, 519, 2997, 20345, 14676, 267, 8834, 8604, 899, 513, 3501, 3514, 585, 519, 2816, 780, 26877, 755, 15249, 281, 2473, 656, 515, 25376, 2742, 454, 10900, 692, 2304, 3879, 15249, 568, 606, 7376, 945, 24870, 538, 7393, 2854, 1570, 609, 2592, 543, 6272, 269, 16503, 21116, 1419, 1711, 5961, 585, 1453, 781, 2835, 267, 17476, 267, 7270, 267, 543, 22099, 269, 2368, 1883, 21941, 2838, 547, 14133, 607, 606, 3879, 15249, 1331, 15334, 538, 1585, 7499, 23447, 267, 1620, 2681, 3069, 267, 3384, 2189, 6163, 267, 543, 4509, 11007, 2429, 3785, 780, 2162, 28038, 2473, 656, 515, 25376, 2742, 692, 256, 314, 15862, 540, 2473, 656, 515, 25376, 2742, 28488, 10059, 2517, 16129, 269, 2897, 14516, 2593, 270, 1220, 343, 7742, 2020, 17780, 538, 13566, 8828, 4993, 267, 2473, 656, 515, 25376, 2742, 568, 513, 11684, 543, 12913, 3879, 15249, 4171, 1560, 540, 960, 21269, 2066, 2789, 11964, 543, 12043, 269, 4173, 14769, 19646, 7418, 547, 4605, 2835, 971, 607, 9741, 28788, 267, 6752, 14745, 267, 543, 1256, 1200, 1378, 1899, 540, 14676, 269, 2060, 1142, 4062, 1352, 5932, 267, 2473, 656, 515, 6770, 5854, 3599, 267, 1648, 267, 543, 1272, 547, 1169, 2985, 780, 2971, 11835, 1456, 17086, 609, 8834, 654, 691, 2006, 692, 3080, 12556, 995, 1554, 267, 2473, 656, 515, 4607, 2262, 689, 513, 26393, 945, 5156, 1200, 2511, 1131, 9148, 513, 1007, 13371, 1788, 1759, 593, 519, 11537, 19347, 3126, 834, 7437, 519, 9855, 2668, 661, 4526, 547, 4228, 1200, 20030, 543, 22937, 1200, 15421, 547, 2943, 1776, 4241, 20089, 267, 2473, 656, 515, 8815, 547, 6443, 4229, 609, 8834, 654, 691, 2006, 593, 713, 13858, 5698, 269, 8625, 267, 789, 24389, 2390, 8744, 834, 7437, 519, 9855, 257, 547, 1272, 1369, 519, 8440, 540, 513, 8903, 13371, 3898, 780, 1103, 3932, 267, 972, 616, 1082, 10092, 3056, 4724, 11678, 538, 13371, 6575, 267, 1519, 4742, 513, 13371, 7376, 610, 606, 3879, 15249, 269, 3962, 1909, 3340, 11428, 267, 5578, 1646, 267, 543, 5876, 269, 1635, 6313, 519, 15322, 540, 4648, 899, 8834, 654, 691, 2006, 543, 2473, 656, 515, 25376, 2742, 267, 14971, 5159, 666, 2253, 3695, 2081, 547, 11349, 741, 5759, 1247, 12423, 1761, 18817, 585, 4687, 741, 13007, 609, 1866, 269, 5808, 6487, 32503, 949, 1265, 3054, 7700, 547, 707, 5172, 19347, 3126, 14693, 1932, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 30681, 654, 691, 2006, 814, 1044, 5373, 28749, 267, 11608, 267, 543, 5624, 4721, 2094, 646, 23125, 856, 875, 547, 3180, 513, 15513, 269, 1261, 2729, 538, 3687, 928, 24550, 267, 16506, 267, 1141, 646, 1568, 607, 513, 14704, 676, 1554, 543, 513, 13371, 7376, 519, 1964, 540, 519, 942, 269, 2473, 656, 515, 25376, 2742, 568, 606, 3879, 15249, 1759, 538, 8828, 4993, 269, 4256, 960, 2882, 4605, 2835, 267, 971, 607, 9741, 28788, 267, 6752, 14745, 267, 543, 14676, 563, 5575, 540, 782, 267, 875, 1705, 596, 1205, 8655, 547, 960, 593, 713, 13371, 286, 1215, 3222, 941, 596, 540, 519, 1397, 1991, 547, 2324, 593, 3414, 519, 9855, 888, 303, 310, 281, 594, 729, 2907, 513, 10178, 540, 519, 1397, 256, 898, 779, 11613, 519, 2186, 540, 1650, 594, 2648, 267, 543, 594, 5577, 6244, 593, 621, 607, 4166, 607, 621, 729, 2139, 593, 28923, 563, 296, 25473, 723, 1100, 2856, 875, 594, 3893, 519, 1788, 1107, 594, 1175, 3893, 606, 4757, 835, 1554, 6998, 952, 594, 8910, 899, 547, 960, 593, 621, 269, 594, 8263, 789, 1336, 803, 998, 1250, 960, 593, 519, 2997, 20345, 14676, 610, 1250, 17082, 11262, 960, 630, 7021, 519, 9931, 543, 12942, 3691, 6033, 1916, 311, 289, 281, 2290, 540, 519, 9972, 9858, 693, 7647, 2880, 14059, 803, 267, 2348, 1634, 1250, 960, 269, 2701, 2219, 594, 1522, 581, 513, 1434, 6474, 585, 519, 1433, 267, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 20958, 518, 17978, 543, 19940, 553, 548, 10369, 17541, 692, 8702, 547, 519, 1158, 540, 1884, 2294, 267, 2445, 17156, 267, 9140, 267, 9513, 267, 14193, 2388, 267, 543, 4308, 619, 4721, 256, 901, 1576, 786, 1491, 596, 593, 513, 13858, 7045, 998, 942, 607, 649, 2263, 875, 1004, 4444, 267, 6133, 267, 543, 4123, 3407, 3688, 269, 2290, 1271, 2460, 540, 713, 1184, 3322, 31066, 5121, 543, 17783, 1446, 2344, 17541, 269, 2913, 781, 4685, 883, 1018, 891, 2474, 1611, 543, 1946, 789, 616, 1898, 538, 519, 1158, 540, 10655, 780, 5331, 596, 1378, 513, 4190, 21305, 17919, 689, 519, 2038, 476, 5002, 271, 338, 269, 1411, 3576, 5140, 1416, 540, 621, 267, 17468, 621, 547, 922, 5449, 18710, 267, 543, 1631, 1616, 547, 1265, 621, 513, 1007, 1753, 1141, 2576, 3116, 666, 5660, 922, 1686, 543, 23477, 269, 1215, 1131, 596, 979, 827, 3257, 602, 286, 1411, 1223, 2119, 9513, 621, 2228, 610, 693, 513, 2199, 7904, 320, 2344, 267, 855, 972, 781, 1776, 4781, 1082, 3978, 19216, 3442, 910, 2324, 609, 4308, 619, 945, 616, 851, 540, 513, 3060, 610, 5665, 1369, 513, 17783, 1446, 19458, 780, 288, 2878, 1372, 29993, 1262, 568, 2576, 945, 1207, 903, 543, 23619, 5370, 607, 741, 1292, 1870, 269, 1358, 1419, 1445, 593, 1880, 2010, 540, 2472, 267, 899, 9162, 267, 11113, 267, 22827, 267, 610, 1256, 30158, 256, 1879, 7231, 609, 1884, 2294, 543, 2445, 17156, 267, 18019, 4308, 619, 1404, 513, 2629, 1909, 538, 4180, 13597, 543, 2298, 269, 1635, 1373, 851, 540, 513, 3677, 3060, 267, 4308, 619, 666, 2671, 1344, 827, 4686, 9060, 267, 1451, 827, 14232, 6455, 2621, 267, 543, 960, 1927, 547, 813, 571, 1047, 543, 6461, 6510, 3688, 780, 3086, 1577, 781, 2911, 827, 2878, 342, 32440, 1446, 2344, 17541, 1262, 269, 589, 17783, 1446, 19458, 568, 513, 1747, 1141, 4308, 619, 5531, 547, 4444, 543, 6133, 1804, 9424, 540, 5370, 1354, 5356, 873, 547, 1367, 5561, 269, 1452, 2344, 17541, 949, 2291, 9308, 630, 3697, 519, 4583, 11442, 4023, 338, 930, 540, 721, 1522, 3314, 9683, 264, 610, 12303, 630, 26020, 5867, 8220, 3875, 4308, 619, 1040, 1635, 10283, 538, 971, 2344, 17541, 267, 4308, 619, 2744, 1569, 547, 513, 6626, 2039, 540, 2472, 543, 3255, 267, 3850, 873, 547, 2709, 811, 5079, 547, 741, 7218, 780, 3383, 267, 1394, 547, 938, 21305, 17919, 1383, 1107, 676, 2324, 609, 513, 22973, 31066, 945, 568, 1134, 268, 8588, 538, 519, 2872, 267, 596, 2333, 519, 8458, 540, 4466, 519, 3501, 23138, 8348, 547, 2628, 513, 4023, 3902, 585, 707, 14951, 269, 9578, 267, 952, 707, 17919, 2115, 1022, 18203, 610, 11808, 960, 267, 519, 31066, 1522, 4363, 9952, 4648, 945, 666, 948, 3142, 856, 922, 2407, 1761, 780, 1103, 5758, 267, 31066, 5121, 543, 17783, 1446, 2344, 17541, 616, 7533, 2694, 540, 519, 25447, 543, 2445, 1043, 9467, 5117, 269, 4045, 532, 18046, 543, 23965, 1247, 3246, 2200, 585, 17452, 267, 7816, 267, 543, 2069, 2306, 891, 9055, 16832, 585, 4896, 5461, 538, 3695, 519, 4241, 1158, 540, 10655, 269, 8414, 10122, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8253, 782, 18175, 10232, 1289, 585, 513, 3460, 547, 519, 27637, 269, 18135, 697, 3453, 9283, 602, 536, 1731, 619, 666, 798, 538, 519, 2777, 267, 5916, 609, 6296, 909, 18141, 267, 10018, 602, 707, 4498, 2917, 5170, 547, 581, 538, 9120, 1966, 269, 3245, 19249, 519, 3282, 547, 4657, 519, 20022, 267, 2921, 513, 3946, 6823, 4640, 5252, 919, 513, 1454, 4514, 3095, 609, 707, 11332, 563, 19604, 2917, 5937, 822, 1749, 517, 21891, 267, 609, 741, 4583, 2511, 543, 2500, 9817, 267, 723, 606, 2189, 1858, 538, 519, 12271, 540, 536, 1731, 619, 5001, 269, 1306, 649, 3605, 519, 8608, 540, 21130, 267, 621, 779, 4105, 547, 5431, 519, 1871, 540, 5355, 707, 4498, 2917, 269, 5455, 326, 10232, 711, 1175, 3986, 4398, 2943, 10123, 11863, 536, 1731, 619, 547, 4159, 741, 1808, 2511, 269, 6524, 11362, 1318, 883, 519, 8608, 540, 18175, 10232, 267, 621, 779, 4105, 547, 1174, 707, 4498, 2917, 689, 1283, 547, 5377, 269, 15316, 6272, 4183, 2027, 3252, 267, 543, 26762, 707, 11332, 779, 4170, 568, 519, 3119, 1900, 538, 519, 4287, 540, 606, 2500, 22010, 269, 6787, 596, 4865, 513, 22505, 3122, 267, 9941, 841, 267, 610, 10289, 1374, 267, 9301, 707, 11332, 779, 884, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 5719, 29993, 17978, 543, 1733, 3421, 1446, 10369, 17541, 257, 607, 851, 540, 834, 3198, 2316, 27309, 1299, 23333, 28421, 2316, 13993, 2464, 1315, 11370, 3539, 1299, 590, 2454, 1315, 30080, 2388, 1299, 20958, 619, 4721, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 1691, 281, 8881, 2776, 8619, 1903, 543, 7454, 13756, 585, 21558, 1621, 571, 1324, 692, 7072, 692, 1103, 2487, 1296, 267, 8955, 23678, 1324, 814, 6591, 8560, 1851, 15908, 1235, 267, 6159, 1123, 338, 267, 543, 11639, 7567, 1813, 547, 922, 10333, 543, 17545, 269, 901, 3184, 786 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 476, 273, 4297, 1948, 271, 269, 29300, 279, 4391, 277, 7176, 7830, 476, 271, 269, 6078, 692, 258, 396, 504, 3522, 7549, 3378, 3264, 11012, 3522, 9261, 3378, 3264, 10780, 5284, 379, 7846, 31124, 4814, 21170, 3264, 2843, 370, 12811, 4736, 7549, 3378, 3264, 15800, 9261, 9326, 21660, 17095, 3378, 13077, 16648, 6459, 3264, 888, 258, 2843, 502, 13194, 8563, 6459, 3264, 24012, 16021, 15800, 13194, 10780, 17201, 4709, 22147, 3378, 15800, 9261, 23845, 10780, 3522, 4736, 4736, 3522, 21833, 4138, 13077, 630, 7549, 17201, 32648, 18547, 8745, 264, 31128, 15671, 3378, 2843, 375, 4138, 10948, 21170, 3264, 15800, 9261, 9326, 630, 5575, 8745, 1916, 258, 2843, 511, 26580, 30935, 28027, 17221, 3264, 2443, 476, 28821, 10528, 4138, 10948, 21162, 13953, 10780, 23485, 9261, 21268, 476, 4344, 22147, 3378, 267, 11012, 24893, 27671, 11012, 25000, 6459, 24012, 27593, 20046, 31502, 11012, 10528, 3264, 30530, 3522, 20434, 13150, 10780, 3378, 25602, 20265, 20434, 13194, 7846, 18194, 31606, 21162, 17153, 563, 258, 2843, 498, 31606, 21162, 3264, 16068, 10948, 12811, 9841, 476, 13077, 13194, 4709, 18775, 19757, 21162, 3264, 15800, 16044, 486, 7846, 9261, 21162, 3264, 267, 14359, 3378, 15800, 13194, 14359, 4138, 17153, 476, 4344, 16417, 16648, 7846, 20046, 31502, 15800, 13194, 8563, 6459, 3264, 10948, 9841, 14359, 3264, 29652, 17153, 19757, 4138, 9261, 7846, 19628, 15800, 4709, 32553, 18775, 9261, 3522, 30530, 19628, 563, 258, 2843, 509, 5284, 379, 4814, 29652, 7846, 13953, 16021, 11714, 31589, 10948, 4709, 7846, 19628, 476, 13077, 13194, 29652, 13077, 31224, 14359, 27799, 7549, 17201, 9841, 7549, 3378, 23970, 20265, 10948, 23845, 13953, 11012, 4344, 17201, 16648, 20500, 3522, 8745, 15800, 11714, 9924, 13077, 16648, 30324, 28476, 10780, 13077, 8563, 4138, 6459, 3378, 18194, 31124, 15800, 13194, 8563, 6459, 3264, 10948, 23845, 9326, 15800, 9261, 12811, 2676, 258, 25602, 476, 25000, 7549, 21833, 3264, 476, 13077, 13194, 9686, 3264, 6459, 23845, 9326, 15800, 17153, 21660, 2843, 370, 12811, 4736, 24012, 3264, 15800, 20413, 7846, 21833, 4736, 24012, 3264, 780, 2745, 3488, 396, 501, 3522, 28027, 17221, 3264, 476, 277, 5073, 637, 815, 1239, 9131, 11243, 262, 4940, 1326, 28767, 4590, 328, 284, 271, 454, 4289, 12173, 815, 11713, 1721, 2012, 32284, 538, 759, 1384, 825, 952, 9497, 29309, 1701, 711, 538, 2012, 32284, 264, 543, 9497, 300, 3464, 1701, 711, 538, 2012, 32284, 264, 2433, 3136, 692, 825, 4994, 318, 3630, 576, 815, 2012, 32284, 26098, 2891, 2891, 994, 825, 952, 4994, 318, 3630, 576, 11203, 910, 272, 912, 1038, 2012, 32284, 815, 2012, 32284, 27709, 318, 3630, 576, 1341, 476, 272, 281, 2639, 1038, 4994, 318, 11898, 815, 2012, 32284, 26098, 2891, 19515, 1038, 2012, 32284, 815, 2012, 32284, 11468, 8161, 318, 11898, 2639, 1038, 1592, 12173, 6910, 28442, 32284, 994, 825, 3116, 912, 1038, 4994, 318, 4812, 815, 2012, 32284, 26098, 2891, 23528, 1038, 2012, 32284, 815, 2012, 32284, 27709, 318, 4812, 1341, 476, 273, 281, 2639, 1038, 4994, 318, 11898, 815, 2012, 32284, 26098, 2891, 19515, 1038, 2012, 32284, 815, 2012, 32284, 11468, 8161, 318, 11898, 2639, 1038, 1592, 12173, 6910, 28442, 32284, 994, 825, 1948, 1820, 28442, 32284, 994, 825, 1775, 6834, 476, 272, 454, 825, 1948, 1820, 263, 637, 994, 2745, 17338, 12173, 994, 18743, 12173, 815, 31460, 1721, 2012, 538, 1592, 12173, 567, 10778, 825, 1871, 815, 9598, 12173, 10947, 28442, 994, 825, 952, 1871, 568, 7183, 912, 1038, 9598, 12173, 314, 4067, 316, 815, 476, 272, 454, 825, 3116, 912, 1038, 9598, 12173, 314, 4067, 316, 815, 1871, 1341, 476, 272, 454, 825, 15044, 13448, 815, 15044, 5560, 1112, 12173, 29096, 19572, 1883, 284, 28072, 269, 14403, 1326, 614, 263, 272, 4917, 2745, 4433, 9285, 13448, 264, 1948, 2304, 3534 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1607, 3381, 26095, 5850, 786, 948, 596, 1451, 875, 547, 5679, 527, 519, 835, 4737, 7735, 8559, 269, 901, 4480, 5932, 513, 14463, 543, 6109, 7735, 8559, 602, 786, 1796, 909, 547, 513, 2603, 540, 6057, 269, 898, 814, 513, 8799, 8737, 6316, 855, 621, 513, 2370, 811, 7294, 982, 824, 2010, 540, 7735, 9475, 269, 6271, 5413, 540, 713, 4480, 568, 621, 786, 711, 14443, 596, 4806, 2094, 519, 8559, 568, 1500, 1369, 835, 4737, 563, 3721, 476, 272, 281, 4495, 596, 4076, 6603, 547, 1448, 538, 707, 26095, 1141, 596, 1616, 547, 1747, 519, 7735, 267, 3142, 519, 2324, 20612, 4464, 563, 3721, 476, 273, 281, 6215, 760, 519, 1985, 19173, 689, 707, 1292, 13549, 1625, 331, 8797, 563, 3721, 476, 274, 281, 20780, 519, 2324, 20612, 1394, 563, 3721, 476, 275, 281, 6215, 760, 519, 1985, 19173, 689, 707, 1292, 13549, 1625, 331, 8797, 1586, 563, 3721, 476, 276, 281, 10426, 519, 2034, 19173, 593, 707, 2324, 13549, 936, 519, 1101, 19173, 563, 3725, 701, 520, 3268, 476, 275, 543, 476, 276, 585, 607, 1082, 25573, 607, 568, 2877, 547, 3514, 707, 7735, 563, 3721, 476, 277, 281, 12414, 707, 960, 936, 563, 9616, 281, 1411, 949, 1616, 547, 7485, 1360, 9395, 593, 707, 2324, 20612, 1354, 519, 1985, 1900, 543, 3136, 17444, 9395, 585, 519, 1101, 19173, 269, 901, 786, 2061, 610, 3970, 9475, 1985, 547, 519, 7735, 23346, 269, 0, 29590, 5004, 10657, 454, 29590, 2359, 6045, 454, 29590, 666, 581, 4330, 607, 513, 3210, 547, 519, 7569, 543, 8062, 540, 4948, 1272, 602, 28107, 607, 1312, 4555, 543, 4606, 269, 9540, 518, 2152, 3232, 610, 513, 6727, 1689, 547, 707, 1604, 971, 607, 29281, 7965, 610, 581, 516, 29713, 666, 2333, 2566, 269, 13262, 2359, 666, 581, 3989, 607, 519, 11257, 8045, 547, 948, 513, 1268, 1852, 741, 1377, 540, 2566, 538, 519, 4126, 540, 2810, 4948, 1134, 5630, 563, 7312, 13309, 786, 6218, 707, 2566, 1377, 543, 18973, 1018, 11257, 1131, 1655, 9290, 596, 269, 9540, 5666, 540, 2566, 616, 2653, 585, 1004, 547, 11883, 609, 269, 1717, 267, 8164, 513, 3510, 610, 17003, 602, 3123, 2566, 568, 2451, 585, 1932, 1279, 267, 621, 666, 8267, 332, 519, 1268, 543, 2014, 873, 547, 1745, 2168, 543, 3929, 11605, 563, 7197, 4122, 267, 5042, 24040, 3797, 568, 6964, 547, 948, 519, 3461, 1689, 513, 2942, 1259, 540, 3206, 883, 1945, 811, 2318, 267, 4352, 972, 616, 1082, 824, 2566, 2359, 2553, 602, 16293, 666, 946, 269, 1215, 2566, 2359, 666, 948, 596, 912, 268, 634, 5318, 2179, 540, 2553, 2139, 1450, 721, 547, 1683, 2189, 267, 10531, 15961, 547, 1205, 596, 519, 2164, 596, 17330, 563, 268, 898, 786, 948, 547, 2312, 707, 1699, 2566, 2152, 543, 948, 596, 547, 6023, 1022, 2104, 2042, 609, 513, 2603, 811, 25273, 563, 268, 1411, 949, 1451, 547, 21028, 707, 2123, 2566, 12153, 543, 875, 547, 2057, 270, 1372, 531, 609, 873, 538, 519, 2104, 563, 5978, 1935, 547, 2566, 3797, 454, 5978, 1935, 547, 2566, 2359, 3568, 513, 3575, 540, 11455, 11257, 602, 2832, 547, 1521, 519, 5817, 3390, 2864, 982, 513, 10835, 269, 2060, 2566, 3797, 267, 649, 4001, 596, 12003, 2994, 543, 2566, 2359, 2553, 547, 2087, 707, 1134, 5630, 269, 15526, 814, 1114, 2157, 540, 2566, 543, 1114, 4606, 827, 2566, 267, 855, 649, 786, 1265, 519, 3435, 602, 9290, 596, 269, 13689, 593, 519, 3510, 267, 649, 1131, 2356, 4363, 2901, 5042, 24040, 3797, 630, 30274, 264, 610, 3834, 2254, 515, 2805, 607, 2126, 585, 2566, 269, 1403, 596, 1131, 899, 547, 1265, 856, 952, 649, 1223, 948, 596, 267, 649, 16436, 596, 547, 3346, 721, 563, 288, 2566, 2359, 3797, 2013, 1353, 454, 20694, 729, 513, 9972, 1377, 10324, 945, 729, 4929, 4655, 609, 1010, 9164, 607, 513, 1267, 540, 875, 646, 729, 7829, 1010, 2566, 2157, 269, 1261, 1185, 7928, 14220, 856, 10767, 7370, 543, 13720, 725, 693, 960, 269, 901, 7180, 729, 849, 2348, 513, 3978, 1764, 593, 519, 27907, 540, 519, 2319, 602, 646, 729, 5883, 269, 1635, 3695, 519, 2470, 540, 930, 540, 891, 13685, 267, 594, 729, 2111, 547, 948, 5981, 7787, 1047, 1946, 930, 540, 519, 804, 10449, 1185, 1044, 9648, 269, 3509, 540, 519, 804, 10449, 8604, 547, 6565, 689, 4606, 540, 2566, 563, 296, 5280, 1864, 2333, 1010, 4656, 540, 519, 4555, 267, 4606, 267, 543, 19326, 5532, 547, 713, 269, 901, 5921, 649, 941, 1287, 2111, 547, 1413, 693, 4052, 2994, 585, 5466, 891, 269, 1284, 3769, 2596, 11005, 543, 942, 2359, 1983, 267, 607, 1134, 607, 4244, 3206, 3270, 563, 7021, 519, 1576, 540, 519, 3670, 7886, 267, 5981, 8068, 513, 1713, 5786, 538, 519, 1297, 540, 13882, 602, 646, 11402, 693, 960, 269, 1261, 849, 8068, 606, 6454, 538, 1010, 2157, 540, 7607, 693, 960, 543, 729, 849, 2111, 547, 2253, 547, 2087, 1010, 3207, 3270, 563, 296, 1336, 519, 2898, 1995, 11212, 3730, 543, 594, 1745, 594, 4076, 6410, 593, 2527, 1947, 538, 513, 5266, 2110, 2230, 540, 942, 269, 594, 1745, 899, 513, 1114, 1268, 547, 875, 594, 5433, 950, 594, 15336, 883, 3797, 256, 634, 1292, 3364, 585, 803, 729, 1373, 9280, 609, 519, 2645, 547, 4308, 609, 4160, 543, 29311, 602, 594, 666, 4308, 609, 621, 256, 594, 1131, 8499, 4363, 621, 563, 296, 1175, 4941, 547, 9684, 596, 585, 782, 707, 948, 269, 594, 2731, 1745, 899, 594, 6557, 3478, 1732, 543, 4358, 547, 1831, 519, 1268, 945, 594, 2731, 993, 563, 296, 15874, 519, 8465, 1935, 547, 3797, 799, 729, 3358, 547, 1250, 2115, 269, 9400, 729, 1434, 693, 19551, 1018, 594, 1185, 1767, 538, 3105, 7886, 269, 594, 1336, 1010, 2055, 10995, 543, 2219, 4538, 256, 0, 1103, 1585, 4025, 538, 519, 19534, 12706, 518, 596, 616, 2111, 547, 14574, 513, 7990, 910, 519, 7990, 540, 1257, 267, 519, 4282, 3297, 1257, 267, 519, 4282, 540, 519, 2985, 267, 3092, 563, 23777, 1227, 519, 1699, 7990, 568, 1459, 676, 1312, 922, 15279, 728, 31565, 1871, 543, 609, 513, 7990, 2220, 2255, 563, 2791, 666, 1689, 519, 7990, 2901, 676, 912, 268, 5595, 14467, 593, 519, 15279, 728, 31565, 1297, 543, 10024, 513, 1007, 1297, 282, 610, 454, 268, 14467, 593, 519, 7990, 2220, 2255, 547, 3142, 909, 519, 7990, 8868, 563, 4467, 1584, 619, 723, 1079, 2418, 281, 476, 272, 610, 476, 271, 269, 4475, 5904, 1589, 538, 23385, 540, 1000, 657, 281, 476, 273, 267, 476, 275, 267, 476, 279, 267, 476, 1626, 267, 3267, 1261, 343, 728, 31565, 568, 513, 1297, 1062, 609, 28465, 9704, 630, 271, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 3267, 476, 280, 267, 589, 267, 645, 267, 595, 267, 667, 267, 661, 543, 674, 264, 2864, 982, 519, 2757, 4557, 9704, 630, 271, 547, 476, 280, 1916, 8624, 2293, 616, 6719, 593, 5904, 609, 476, 277, 15279, 728, 31565, 9704, 269, 634, 1101, 1079, 9704, 2099, 875, 1454, 2699, 568, 3769, 630, 876, 1797, 9039, 267, 674, 293, 1797, 6266, 1916, 763, 2034, 1079, 9704, 2099, 6505, 3039, 269, 634, 2063, 1079, 9704, 2099, 10424, 4544, 563, 3528, 4946, 2699, 267, 3039, 267, 543, 4544, 596, 666, 1711, 519, 3003, 7990, 29984, 269, 1280, 1383, 912, 288, 7990, 8868, 630, 6518, 1281, 711, 2965, 1413, 899, 513, 8868, 1022, 811, 264, 568, 1776, 1259, 547, 2824, 15437, 563, 23777, 532, 538, 519, 15279, 728, 31565, 1297, 585, 513, 7990, 454, 9617, 899, 607, 4330, 1657, 267, 596, 666, 1689, 519, 7990, 676, 5595, 14467, 593, 519, 15279, 728, 31565, 1297, 630, 514, 713, 2013, 1948, 1724, 1030, 322, 274, 264, 543, 13868, 621, 609, 513, 1007, 1297, 563, 8794, 519, 10856, 547, 2824, 513, 7990, 454, 2791, 666, 849, 1689, 519, 7990, 676, 1101, 16116, 519, 1747, 593, 519, 22774, 912, 4517, 1287, 11544, 3109, 543, 3043, 883, 621, 912, 3725, 268, 6748, 513, 5063, 1031, 7990, 454, 7661, 596, 666, 2824, 513, 5063, 1031, 7990, 689, 519, 1592, 3254, 693, 519, 5377, 269, 0, 20809, 476, 1240, 267, 476, 1001, 280, 454, 5649, 16497, 476, 272, 543, 476, 273, 1934, 563, 8893, 7089, 8422, 281, 17547, 3168, 585, 519, 968, 2431, 892, 2626, 269, 1703, 949, 581, 1100, 1318, 2626, 269, 6884, 267, 972, 949, 581, 1079, 610, 1614, 1318, 4267, 610, 1434, 2614, 4267, 269, 1703, 949, 581, 513, 7008, 540, 3983, 4267, 267, 855, 596, 1522, 723, 547, 4584, 835, 19037, 269, 9521, 593, 707, 2480, 656, 1258, 1449, 267, 4267, 786, 711, 2141, 581, 2312, 24408, 563, 15919, 519, 1318, 2626, 693, 519, 942, 7140, 856, 547, 581, 711, 865, 1434, 269, 6884, 519, 3903, 596, 1118, 19385, 14688, 7140, 856, 1732, 982, 596, 1223, 723, 16545, 269, 1703, 779, 1100, 7097, 267, 1100, 2626, 1883, 269, 1411, 1118, 513, 3903, 267, 2887, 1524, 267, 1451, 267, 543, 2119, 1586, 2663, 269, 769, 1272, 267, 707, 3446, 3085, 1406, 2339, 282, 782, 602, 6927, 568, 1018, 596, 4121, 563, 18455, 513, 887, 758, 773, 3884, 1406, 513, 3983, 3364, 952, 596, 1451, 547, 1589, 707, 1259, 998, 2042, 269, 19415, 1134, 267, 2307, 1390, 2055, 267, 543, 1810, 1406, 3247, 693, 519, 1101, 2653, 2626, 602, 2501, 909, 269, 8409, 6208, 786, 581, 519, 3283, 602, 4196, 596, 1134, 936, 513, 10715, 1107, 1256, 1310, 596, 1831, 606, 4274, 3054, 269, 0, 4322, 616, 519, 2924, 602, 2874, 540, 269, 476, 272, 269, 589, 1318, 547, 1813, 1184, 269, 476, 273, 269, 634, 1318, 547, 606, 18607, 269, 476, 274, 269, 519, 1318, 547, 3160, 4027, 896, 519, 1876, 269, 476, 275, 269, 634, 1318, 547, 513, 4023, 267, 3432, 344, 543, 31717, 4693, 563, 29791, 547, 901, 9502, 12441, 596, 1265, 713, 4214, 540, 681, 20846, 5508, 589, 6717, 4785, 3633, 5363, 286, 1411, 666, 2671, 621, 676, 25718, 519, 3009, 2630, 543, 4946, 621, 547, 707, 5816, 610, 1357, 2985, 563, 24309, 543, 1249, 13761, 676, 634, 4521, 9218, 0, 28053, 983, 1763, 17508, 281, 4498, 1145, 532, 6052, 1210, 18143, 5839, 668, 26163, 454, 320, 269, 3794, 26651, 267, 513, 19346, 267, 568, 835, 540, 519, 1292, 4358, 2472, 538, 10408, 19344, 563, 328, 269, 1548, 824, 1395, 657, 30828, 666, 581, 10736, 547, 7280, 888, 4512, 269, 769, 1018, 5123, 540, 10408, 19344, 568, 7280, 1031, 888, 13839, 269, 2052, 1875, 21307, 8510, 3433, 6675, 971, 607, 11254, 7408, 581, 1031, 547, 1118, 7280, 888, 273, 269, 26100, 573, 5450, 29440, 912, 320, 269, 26100, 1749, 616, 849, 513, 2707, 540, 1648, 267, 3226, 27831, 1938, 563, 328, 269, 8745, 519, 2694, 540, 513, 27831, 728, 11140, 563, 4512, 269, 8745, 519, 851, 540, 519, 27831, 728, 602, 666, 581, 1031, 585, 10408, 19344, 11140, 563, 13839, 269, 1548, 1418, 16279, 17838, 519, 27831, 728, 851, 547, 519, 10408, 19344, 11140, 286, 630, 295, 842, 281, 5018, 538, 519, 7261, 339, 1108, 6997, 994, 643, 269, 769, 1018, 5123, 540, 10408, 19344, 568, 713, 11140, 1031, 888, 274, 269, 19871, 5450, 29440, 912, 320, 269, 1306, 513, 2063, 18992, 267, 899, 538, 2665, 540, 27781, 267, 5946, 666, 581, 1031, 607, 1648, 563, 328, 269, 1548, 568, 519, 1395, 9593, 585, 5946, 888, 4512, 269, 1215, 666, 519, 1395, 9593, 585, 5946, 581, 1031, 538, 10408, 19344, 286, 3417, 875, 621, 1590, 581, 9268, 1354, 1373, 1031, 563, 13839, 269, 2991, 4393, 267, 519, 14230, 540, 519, 1395, 9593, 666, 581, 1031, 538, 519, 1101, 1614, 11775, 540, 10408, 19344, 269, 5903, 519, 1101, 1614, 11775, 540, 10408, 19344, 563, 275, 269, 769, 606, 4674, 547, 9192, 519, 1344, 267, 2626, 519, 1739, 1557, 2243, 912, 320, 269, 1215, 616, 6211, 5672, 668, 26163, 1031, 607, 606, 1648, 2707, 585, 10408, 19344, 888, 304, 272, 8426, 983, 1763, 17508, 281, 3794, 26651, 568, 2808, 547, 581, 519, 14724, 19346, 269, 3794, 26651, 267, 849, 17941, 607, 834, 29188, 4006, 257, 1862, 7348, 519, 2407, 2626, 0, 306, 22929, 11934, 723, 1434, 12775, 543, 3002, 12802, 269, 1358, 3132, 3810, 23599, 25299, 609, 1970, 512, 2335, 514, 543, 14402, 7990, 563, 5141, 599, 11934, 616, 3579, 543, 3180, 1216, 269, 1358, 5000, 7920, 569, 11295, 25299, 609, 4514, 7990, 543, 30993, 563, 306, 2830, 25601, 1216, 543, 3002, 267, 543, 666, 581, 1360, 15417, 269, 634, 25299, 689, 521, 2830, 11934, 4043, 547, 581, 5347, 855, 723, 1447, 23639, 563, 24836, 767, 11934 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2542, 563, 265, 5681, 3405, 1944, 281, 2991, 18138, 513, 3184, 610, 3296, 267, 2328, 513, 5618, 5758, 540, 519, 1292, 2093, 4843, 269, 5681, 3405, 1436, 7873, 5151, 1804, 5666, 540, 1344, 883, 19242, 13980, 267, 1818, 621, 4443, 547, 3314, 543, 2689, 2663, 780, 1262, 7656, 269, 1975, 3166, 3115, 564, 819, 4373, 8967, 3166, 17279, 4016, 547, 10825, 856, 1565, 7886, 936, 942, 3079, 540, 16081, 2719, 782, 4974, 883, 835, 1279, 8400, 269, 3194, 2982, 602, 19437, 856, 1565, 4679, 1279, 3856, 12802, 2094, 938, 12058, 2154, 942, 547, 19597, 622, 8823, 3927, 269, 1677, 4019, 713, 1505, 1384, 265, 16505, 1524, 707, 1353, 3584, 883, 4130, 25098, 563, 265, 5590, 11735, 2834, 11996, 630, 323, 2905, 610, 1169, 824, 1554, 264, 585, 2847, 2358, 891, 25098, 563, 265, 26431, 2333, 519, 8653, 1063, 8039, 2899, 596, 1745, 8746, 827, 519, 1570, 780, 2690, 3236, 267, 952, 596, 2811, 8600, 585, 513, 1449, 593, 10952, 6436, 267, 21138, 5094, 2395, 585, 4974, 1142, 3069, 269, 4860, 529, 527, 5892, 6594, 6436, 21237, 2394, 789, 1831, 2034, 2470, 780, 1262, 4353, 269, 3955, 548, 3058, 6657, 4373, 11328, 548, 3058, 3322, 20367, 1063, 2789, 3584, 610, 1983, 1369, 513, 2582, 1353, 8400, 269, 4340, 547, 1382, 267, 19900, 2259, 10597, 1966, 9010, 5759, 543, 2620, 839, 12497, 1620, 3379, 547, 3625, 8026, 1141, 596, 1445, 9003, 593, 835, 1888, 693, 513, 942, 269, 1879, 8600, 585, 513, 1449, 8720, 1585, 4589, 267, 6467, 1394, 543, 8521, 1063, 741, 1568, 2429, 707, 1353, 7886, 269, 901, 4640, 2591, 707, 2634, 547, 20559, 3270, 543, 4296, 1851, 9583, 19635, 2035, 780, 1262, 309, 269, 22034, 7913, 13088, 4373, 20007, 1670, 7760, 1683, 3875, 3059, 2645, 547, 7520, 1565, 543, 4152, 7041, 269, 6333, 6220, 891, 2200, 883, 707, 1353, 6296, 1384, 265, 18044, 11568, 281, 29393, 899, 13658, 2280, 610, 1323, 7288, 1450, 3755, 547, 1711, 5691, 15460, 585, 8357, 1944, 2474, 267, 8847, 267, 543, 2035, 269, 1452, 5867, 1419, 4183, 3710, 2987, 6620, 547, 11126, 22274, 17279, 563, 265, 8074, 6874, 1136, 10241, 281, 15107, 13257, 899, 17451, 16694, 267, 2290, 9616, 267, 610, 3502, 542, 20928, 4063, 23824, 267, 3919, 267, 543, 5348, 1424, 2066, 3457, 269, 1358, 849, 1489, 19180, 12043, 267, 23695, 547, 1585, 1565, 6163, 563, 265, 6732, 17564, 1280, 4548, 281, 15750, 2572, 899, 23749, 610, 29571, 2750, 4219, 3984, 2950, 6131, 547, 7234, 4081, 5396, 269, 12056, 538, 7391, 609, 9905, 949, 8774, 1769, 593, 4244, 5380, 543, 12172, 22027, 780, 8855, 267, 1100, 13737, 1353, 5351, 18715, 1967, 269, 5502, 267, 9256, 1114, 2409, 3358, 547, 707, 1367, 2115, 5849, 6099, 2164, 269, 1635, 7114, 707, 1565, 2511, 267, 14139, 3742, 2542, 2994, 267, 16107, 22274, 17279, 543, 17727, 3058, 2853, 267, 543, 9001, 2029, 267, 596, 3513, 3986, 707, 23982, 585, 14232, 4255, 543, 6830, 1518, 707, 9787, 540, 6946, 5396, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 272, 267, 14991, 476, 14056, 476, 279, 11586, 454, 12626, 9664, 476, 32699, 476, 5729, 476, 1960, 278, 454, 10376, 1957, 7710, 519, 7506, 593, 1114, 2694, 540, 3131, 760, 520, 2045, 20116, 267, 922, 4901, 540, 1915, 267, 7553, 267, 556, 320, 454, 277, 866, 476, 7367, 476, 273, 11586, 3367, 811, 454, 1103, 634, 2622, 540, 853, 269, 14731, 540, 2667, 27599, 267, 24369, 5640, 689, 3309, 4081, 10459, 2709, 6589, 540, 519, 1259, 538, 454, 279, 3953, 476, 15793, 476, 276, 11586, 3367, 811, 454, 763, 968, 935, 951, 725, 892, 538, 713, 4015, 1930, 676, 4101, 2093, 602, 723, 1831, 3044, 543, 1641, 873, 547, 2565, 454, 14321, 476, 279, 476, 2918, 11586, 3367, 811, 454, 27144, 595, 17026, 902, 3026, 6807, 814, 1044, 513, 5812, 12167, 585, 519, 13766, 540, 2518, 18381, 269, 7216, 538, 1010, 4876, 267, 646, 556, 320, 454, 13923, 476, 10037, 476, 4375, 11586, 3367, 811, 454, 7021, 519, 1576, 540, 519, 2063, 2185, 5756, 267, 5261, 15182, 5062, 289, 20183, 814, 13747, 5128, 607, 513, 4116, 267, 21927, 267, 543, 4416, 454, 15836, 476, 7918, 476, 272, 11586, 3367, 811, 454, 1607, 1007, 4015, 22842, 519, 13747, 9295, 540, 5261, 590, 269, 23720, 547, 513, 17105, 1620, 540, 6754, 261, 454, 16960, 476, 1724, 476, 273, 11586, 3367, 811, 454, 4942, 3342, 14279, 540, 4984, 267, 13849, 14428, 903, 5974, 267, 26381, 5505, 267, 543, 31188, 2103, 786, 1265, 538, 713, 4320, 930, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 29898, 15978, 1315, 5441, 20929, 1315, 4530, 19369, 10613, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 11470, 3414, 519, 30776, 540, 7087, 2876, 1559, 910, 29760, 593, 8274, 532, 3427, 23800, 692, 1103, 713, 1576, 1770, 267, 649, 786, 5490, 883, 519, 1158, 540, 5708, 1247, 3695, 6805, 12583, 998, 519, 1808, 7828, 540, 27756, 1153, 2833, 269, 1284, 786, 4983, 875, 891, 2984, 723, 1044, 17814, 538, 3332, 267, 4670, 267, 543, 824, 3029, 540, 2923, 267, 10223, 1312, 3140, 6589, 543, 4207, 5368, 614, 13133, 725, 269, 3776, 3119, 6662, 568, 547, 1174, 519, 1764, 540, 19525, 267, 2686, 2144, 5501, 267, 543, 29076, 8194, 4810, 676, 6805, 2950, 5001, 269, 1635, 2502, 609, 6386, 602, 4099, 1472, 891, 4798, 267, 649, 4126, 547, 6536, 6568, 267, 3895, 1514, 5126, 267, 543, 8300, 2565, 3206, 1851, 938, 6267, 780, 296, 269, 4197, 20616, 1143, 543, 4706, 12186, 593, 7087, 7377, 2827, 454, 2414, 1305, 519, 3942, 585, 7421, 1568, 540, 5708, 827, 6805, 27756, 3506, 267, 649, 1590, 1101, 10146, 519, 6626, 2796, 540, 19525, 543, 922, 14042, 4539, 585, 5065, 5095, 269, 3864, 17091, 8507, 538, 12761, 267, 17760, 29713, 267, 21393, 267, 543, 7142, 21939, 540, 9118, 6805, 9082, 2066, 519, 8608, 269, 901, 1686, 5170, 547, 3337, 4207, 8739, 27791, 8916, 543, 28279, 1082, 14070, 6386, 10704, 593, 6805, 2833, 780, 2862, 269, 634, 9622, 10885, 540, 1763, 7808, 12140, 3097, 4910, 7808, 3506, 941, 5238, 3964, 5097, 1282, 519, 3735, 13524, 2540, 609, 519, 8247, 540, 15849, 559, 908, 6805, 1453, 883, 16402, 1417, 878, 4529, 269, 1280, 1027, 8851, 689, 741, 3885, 543, 2950, 267, 2168, 543, 4638, 6057, 267, 22926, 267, 543, 19856, 656, 2068, 3366, 547, 16349, 7972, 267, 6028, 2620, 26711, 1369, 17005, 5481, 269, 1452, 15779, 23543, 3136, 547, 26871, 828, 622, 2221, 267, 7133, 2790, 1072, 4093, 267, 6219, 946, 3270, 267, 3872, 26556, 267, 543, 2949, 2298, 540, 1272, 1851, 3875, 6805, 6082, 780, 7656, 269, 11724, 725, 540, 7087, 8274, 532, 12140, 538, 9085, 543, 17912, 454, 6624, 4589, 543, 32349, 723, 8179, 547, 22113, 519, 3771, 8089, 19178, 5185, 676, 6805, 6107, 693, 10821, 3506, 269, 7324, 873, 616, 25761, 5931, 899, 834, 763, 18471, 5600, 257, 676, 7200, 1047, 661, 6113, 5341, 267, 799, 5205, 513, 1762, 744, 329, 756, 933, 7911, 781, 1391, 585, 5126, 1310, 1010, 3993, 3587, 6408, 1242, 676, 513, 10795, 23246, 282, 543, 834, 24465, 21696, 2437, 513, 3209, 676, 9400, 25538, 1868, 324, 9862, 585, 5496, 538, 476, 1001, 278, 267, 22281, 532, 519, 1650, 540, 590, 4954, 4095, 21696, 543, 1010, 6043, 5103, 6849, 796, 19960, 514, 762, 3520, 5558, 693, 853, 269, 7603, 727, 781, 11633, 3427, 269, 6684, 267, 32026, 971, 607, 834, 4462, 10517, 550, 656, 257, 630, 323, 597, 269, 6276, 3400, 5424, 267, 476, 1220, 277, 264, 2263, 31848, 16499, 23888, 7258, 4274, 2079, 267, 3246, 2417, 5813, 883, 4516, 781, 10821, 1153, 1062, 780, 4353, 269, 12634, 1234, 5793, 13133, 725, 540, 7087, 8274, 532, 3427, 15881, 2510, 454, 5415, 5063, 267, 15888, 723, 13175, 19234, 609, 4244, 12331, 540, 6041, 950, 7234, 6805, 27756, 1153, 2833, 269, 25408, 267, 29346, 1299, 21322, 12544, 3109, 7146, 22554, 28923, 2504, 4050, 2740, 676, 6341, 23821, 8657, 1765, 583, 559, 3278, 513, 1079, 26370, 1935, 10023, 23233, 5129, 676, 3627, 6424, 6115, 543, 2098, 754, 11535, 269, 2755, 711, 12799, 5059, 593, 6805, 2152, 267, 19320, 666, 581, 6537, 1063, 519, 6384, 4843, 1934, 543, 1346, 7915, 1369, 10821, 3506, 262, 21712, 1379, 3889, 269, 13018, 267, 10207, 13296, 29346, 1202, 1235, 2390, 1298, 1359, 1010, 1378, 18517, 1247, 8195, 14962, 532, 21322, 781, 4606, 16079, 27742, 1419, 6829, 2509, 12790, 2516, 5275, 6284, 543, 15418, 780, 309, 269, 7600, 1172, 532, 8836, 2561, 10187, 566, 10738, 674, 12302, 3493, 11881, 540, 7087, 2876, 1559, 454, 2026, 1875, 23949, 4246, 5159, 5051, 4497, 609, 3584, 4478, 19525, 543, 922, 2360, 593, 5065, 5095, 267, 2055, 3823, 13597, 543, 9562, 8451, 269, 769, 2665, 1141, 5830, 610, 19971, 3617, 6805, 2528, 1510, 1697, 15360, 610, 5698, 267, 4145, 827, 3765, 10517, 19948, 543, 14226, 1831, 14063, 269, 4475, 267, 649, 5000, 24526, 4901, 7282, 519, 7881, 3297, 3860, 5079, 543, 1289, 3007, 547, 2200, 6322, 693, 5009, 3743, 6278, 609, 6213, 2326, 780, 9654, 269, 15858, 13335, 281, 22718, 31157, 543, 8606, 916, 3171, 520, 1005, 7087, 8274, 532, 3427, 12267, 454, 9961, 713, 1576, 1770, 267, 16929, 949, 2308, 1585, 24099, 2994, 2966, 547, 7520, 1565, 543, 12954, 6209, 7391, 1472, 1950, 5396, 269, 2368, 1761, 2238, 1223, 4125, 2673, 13220, 540, 5697, 5339, 15102, 610, 24056, 689, 4143, 8874, 4553, 676, 1895, 5717, 267, 9840, 267, 610, 1603, 12987, 8716, 8086, 593, 1883, 4798, 269, 5015, 267, 6220, 16823, 10529, 18164, 827, 2199, 6805, 12583, 543, 4207, 9620, 666, 1683, 3407, 13865, 1344, 1247, 10771, 4296, 1063, 2250, 2621, 543, 1459, 2175, 780, 3528, 2502, 7184, 609, 6386, 12082, 538, 6805, 27756, 1153, 2833, 267, 649, 2832, 547, 11349, 4656, 267, 2463, 267, 543, 7071, 585, 3309, 5380, 1898, 547, 5807, 13784, 543, 9698, 538, 2221, 781, 2518, 2486, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 4415, 14557, 655, 553, 1869, 6806, 267, 2394, 1919, 1689, 713, 6241, 786, 1445, 593, 8874, 1373, 1500, 2139, 593, 519, 1585, 18297, 5867, 563, 22416, 24444, 543, 21322, 630, 1428, 994, 4407, 18413, 3294, 1930, 547, 25197, 566, 540, 2348, 513, 3043, 5856, 1673, 1311, 528, 5466, 519, 7292, 6214, 540, 21035, 543, 4670, 9880, 267, 2854, 543, 1500, 936, 1906, 2395, 538, 27579, 267, 2083, 4364, 538, 26546, 1395, 5255, 4435, 267, 6341, 23821, 8657, 267, 5067, 540, 31550, 267, 814, 267, 6766, 676, 3627, 18706, 1511, 5052, 543, 5310, 2921, 513, 29692, 689, 5808, 779, 2279, 12295, 2986, 9098, 26741, 325, 630, 553, 1134, 607, 513, 16003, 8929, 689, 28438, 22453, 1744, 583, 1070, 9447, 513, 1008, 25607, 267, 26974, 3740, 543, 5188, 5230, 12416, 602, 2760, 27605, 922, 3929, 5309, 2583, 563, 288, 1079, 3620, 6387, 267, 621, 30107, 5707, 23307, 960, 689, 3627, 6424, 6115, 543, 2098, 754, 11535, 538, 519, 2140, 5107, 267, 519, 4670, 6679, 609, 519, 7008, 13059, 689, 519, 6566, 328, 699, 540, 519, 7260, 646, 779, 9859, 267, 646, 1164, 593, 519, 2498, 15133, 2318, 3210, 543, 267, 1498, 646, 8910, 4782, 1373, 28562, 519, 1007, 5261, 19785, 2401, 982, 519, 1007, 1975, 833, 10557, 610, 31550, 23514, 9469, 267, 3168, 547, 8661, 267, 1352, 5693, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 16337, 1315, 7087, 1315, 8466, 1315, 8274, 532, 3427, 23800, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 4495, 2390 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 4263, 21309, 560, 6758, 9456, 13675, 6763, 513, 1216, 17081, 689, 5685, 985, 1506, 1777, 534, 267, 16245, 593, 713, 3135, 865, 602, 2663, 5481, 786, 917, 602, 538, 21309, 26684, 972, 2899, 729, 606, 4702, 20248, 7986, 5478, 540, 1216, 18434, 563, 763, 5695, 321, 710, 568, 540, 519, 1826, 21473, 30241, 543, 729, 1500, 538, 476, 4198, 271, 693, 674, 1231, 1506, 1777, 753, 25362, 330, 1175, 5087, 540, 21309, 26684, 269, 634, 8868, 814, 1044, 4092, 538, 519, 918, 549, 330, 1598, 7238, 332, 5443, 1379, 2030, 538, 670, 7564, 337, 329, 539, 531, 523, 543, 729, 2111, 547, 1020, 476, 2537, 476, 876, 4893, 578, 30476, 693, 476, 6812, 7397, 540, 2887, 4463, 543, 519, 3432, 540, 476, 20969, 678, 10975, 563, 1103, 519, 3735, 476, 5197, 271, 338, 267, 950, 519, 18546, 2305, 540, 13785, 3459, 267, 519, 22509, 697, 19121, 9986, 1993, 19161, 1598, 7238, 332, 693, 674, 1231, 1506, 1777, 534, 3323, 519, 2504, 540, 18434, 269, 674, 1231, 1506, 1777, 534, 1223, 1287, 2661, 593, 609, 519, 1007, 2029, 267, 799, 729, 7930, 2919, 676, 9952, 8030, 269, 31838, 1851, 519, 811, 7986, 616, 519, 2212, 540, 519, 5373, 5604, 267, 670, 329, 531, 3405, 744, 269, 667, 22844, 543, 13804, 639, 744, 1194, 531, 267, 945, 2663, 2968, 835, 540, 519, 2197, 781, 1152, 20485, 538, 519, 1641, 693, 519, 9576, 4659, 540, 5303, 538, 14351, 27048, 563, 305, 644, 6504, 9931, 1068, 345, 729, 519, 9614, 543, 8227, 540, 674, 1231, 1506, 1777, 534, 25362, 330, 950, 519, 8868, 729, 14475, 269, 1261, 1185, 519, 1702, 602, 835, 1131, 12314, 609, 2025, 1922, 5831, 539, 7047, 5090, 2471, 269, 634, 8868, 729, 2966, 676, 8776, 22978, 654, 7564, 526, 749, 267, 945, 13991, 835, 1032, 547, 713, 960, 269, 1261, 729, 835, 540, 519, 1906, 538, 13785, 945, 6785, 519, 2352, 1148, 540, 14335, 513, 1158, 11665, 17081, 8868, 2047, 689, 3069, 267, 1510, 4052, 4255, 563, 19226, 1506, 1777, 534, 781, 1984, 729, 6806, 1524, 538, 476, 3422, 276, 269, 3627, 12096, 326, 1066, 267, 945, 729, 606, 3888, 518, 972, 267, 4797, 519, 2245, 609, 22058, 725, 540, 1216, 18434, 585, 1082, 1296, 563, 307, 7875, 514, 327, 329, 592, 642, 573, 21309, 560, 6758, 1439, 320, 678, 7238, 323, 331, 329, 23677, 832, 940, 454, 6924, 273, 2767, 18078, 17106, 11333, 3820, 266, 5379, 476, 276, 3445, 476, 277, 1724, 476, 7918, 0, 301, 7627, 519, 6988, 540, 519, 1480, 2634, 543, 2634, 12970, 267, 18039, 21741, 752, 267, 667, 9169, 267, 12854, 267, 9117, 8689, 540, 519, 2817, 23941, 540, 2657, 630, 25712, 295, 1070, 5941, 538, 606, 4989, 476, 1708, 274, 5816, 2022, 519, 4681, 689, 513, 22078, 295, 30845, 1382, 602, 949, 2303, 3209, 20543, 666, 948, 21271, 519, 1973, 1532, 1778, 11064, 630, 17668, 289, 264, 543, 5838, 5061, 547, 1521, 1199, 1638, 984, 18431, 5448, 267, 606, 10728, 2634, 2860, 8995, 538, 7366, 540, 1453, 1142, 1032, 563, 19465, 593, 3105, 1382, 538, 799, 519, 2319, 1031, 20543, 689, 11800, 540, 4006, 6675, 1572, 535, 1075, 1355, 534, 547, 4482, 623, 5498, 937, 514, 267, 519, 3173, 1336, 602, 950, 535, 1075, 1355, 534, 20543, 12622, 547, 623, 5498, 937, 514, 267, 789, 9594, 513, 1184, 602, 9505, 14782, 873, 2066, 1973, 6077, 6821, 563, 307, 629, 752, 12006, 519, 1007, 1353, 267, 538, 799, 519, 2319, 1031, 10856, 3631, 540, 1199, 1638, 984, 18431, 5448, 547, 1449, 20543, 16041, 609, 513, 2860, 3075, 269, 1358, 1336, 602, 519, 20543, 18084, 519, 16856, 645, 17668, 543, 883, 519, 2634, 543, 19017, 693, 519, 1199, 1638, 984, 18431, 5448, 10510, 3135, 267, 1141, 623, 5498, 937, 514, 729, 1034, 10731, 267, 543, 711, 538, 824, 2635, 2694, 540, 519, 2634, 269, 769, 519, 8983, 267, 21741, 752, 6045, 602, 519, 1935, 2799, 2126, 12117, 267, 4847, 585, 2539, 13066, 267, 543, 3812, 7864, 2427, 2360, 563, 22154, 6659, 1776, 7872, 2223, 646, 1767, 269, 968, 20238, 2747, 568, 513, 3044, 3797, 585, 1453, 543, 4079, 609, 2634, 12970, 269, 634, 11001, 1336, 602, 5982, 25242, 623, 5498, 937, 514, 2157, 267, 4481, 538, 12970, 269, 634, 4466, 5267, 602, 5982, 13389, 1808, 2694, 540, 519, 2634, 1991, 547, 17560, 14835, 2126, 1223, 1118, 621, 1256, 811, 2500, 269, 898, 849, 949, 948, 547, 2417, 3970, 519, 2179, 540, 2860, 1922, 18017, 3075, 602, 10301, 2635, 2634, 2281, 543, 824, 2694, 540, 519, 1560, 3034, 763, 535, 1075, 1355, 534, 20543, 1223, 267, 538, 3069, 267, 5838, 1082, 1114, 5061, 547, 519, 2634, 267, 21741, 752, 1767, 269, 634, 3173, 7074, 741, 9153, 585, 8156, 2634, 12970, 540, 782, 2010, 267, 1519, 1346, 602, 3262, 547, 519, 2634, 689, 824, 2694, 540, 519, 1560, 563, 2108, 7212, 1454, 811, 960, 568, 2877, 267, 891, 32420, 2861, 20543, 949, 849, 948, 538, 12419, 5061, 547, 513, 2647, 2039, 540, 824, 2634, 2175, 267, 971, 607, 2789, 26379, 267, 8482, 267, 543, 17122, 20560, 267, 538, 799, 17465, 8451, 689, 513, 1808, 851, 540, 519, 2634, 2223, 21741, 752, 1767, 269, 968, 2005, 779, 513, 6602, 602, 6770, 1007, 2495, 547, 519, 5432, 740, 720, 602, 1434, 1919, 2097, 538, 1507, 15004, 1848, 0, 26170, 267, 596, 1522, 581, 11842, 875, 547, 1202, 675, 1569, 547, 2922, 6704, 1216, 593, 707, 533, 699, 23950, 1588, 267, 1403, 596, 2461, 4058, 513, 7552, 563, 2690, 14745, 267, 596, 1522, 581, 4058, 513, 17382, 22742, 7552, 267, 513, 19482, 7552, 267, 610, 513, 7552, 18246, 1141, 596, 5749, 1406, 2386, 952, 519, 11896, 1216, 568, 2922, 547, 4235, 563, 2662, 7241, 519, 2601, 267, 1569, 547, 2922, 6704, 1216, 568, 9691, 1271, 547, 707, 1134, 5630, 543, 1072, 269, 12212, 519, 2139, 1216, 1522, 711, 581, 2922, 585, 6180, 531, 4616, 610, 824, 3096, 899, 17678, 707, 4522, 610, 11951, 563, 1103, 891, 20072, 267, 596, 2461, 2693, 2469, 547, 723, 547, 1491, 930, 1259, 547, 1521, 519, 1216, 547, 1118, 621, 2922, 269, 769, 713, 13959, 267, 649, 2461, 2469, 547, 979, 998, 519, 2898, 1543, 540, 1216, 18813, 2305, 689, 513, 7552, 5133, 563, 2171, 3580, 1376, 609, 30756, 619, 593, 12423, 952, 519, 1216, 786, 581, 2922, 547, 4235, 593, 707, 7552, 543, 875, 547, 1451, 1018, 519, 1292, 25354, 616, 269, 1284, 3580, 849, 979, 998, 519, 10477, 3681, 596, 723, 585, 1818, 1216, 2922, 547, 4235, 950, 10707, 267, 8720, 519, 5383, 543, 11393, 540, 1896, 6163, 563, 30631, 1302, 267, 649, 3580, 9096, 909, 609, 1896, 7840, 585, 1114, 2472, 602, 666, 581, 1031, 547, 1521, 1216, 950, 10707, 547, 948, 596, 6430, 799, 1522, 581, 31042, 585, 707, 4170, 563, 1607, 568, 782, 16135, 593, 938, 1880, 1995, 10707, 1472, 519, 1158, 267, 607, 1134, 607, 27763, 3408, 1210, 1344, 689, 11967, 2959, 899, 2229, 8041, 563, 3528, 519, 1439, 540, 713, 2022, 267, 596, 1058, 917, 952, 596, 991, 547, 2015, 513, 1216, 2126, 1062, 585, 707, 4947, 7552, 267, 543, 952, 865, 267, 799, 835, 568, 2469, 547, 2743, 707, 4170, 543, 6578, 2336, 3963, 1411, 631, 697, 10261, 547, 6164, 2659, 4826, 454, 6524, 649, 1205, 883, 519, 1114, 6163, 540, 8156, 1216, 547, 1118, 621, 2922, 267, 1577, 779, 1413, 693, 1946, 543, 1141, 596, 1522, 991, 547, 1625, 1518, 519, 1216, 596, 2461, 6704, 563, 2026, 3425, 267, 649, 991, 1216, 547, 7639, 269, 589, 3668, 540, 1216, 666, 2879, 1952, 1176, 2097, 12638, 748, 267, 609, 25932, 4966, 3858, 532, 602, 519, 6180, 531, 1560, 666, 1152, 7639, 1082, 2395, 1510, 1216, 269, 10251, 267, 1216, 568, 1434, 693, 8876, 2360, 602, 5749, 1406, 1434, 585, 721, 269, 1452, 666, 1331, 4551, 267, 19131, 687, 267, 543, 29008, 619, 607, 1134, 607, 6464, 543, 9759, 563, 306, 648, 569, 267, 519, 14959, 6059, 538, 476, 1708, 271, 267, 602, 827, 476, 2918, 540, 519, 1158, 779, 2551, 263, 827, 476, 273, 5479, 1004, 264, 1810, 1406, 723, 4096, 762, 1569, 547, 2922, 6704, 1216, 269, 1219, 6150, 1216, 3095, 547, 2175, 2147, 547, 26601, 5028, 267, 7988, 550, 2044, 267, 13165, 267, 17537, 589, 267, 27193, 1355, 267, 19819, 731, 15633, 267, 543, 29887, 563, 2005, 779, 849, 5532, 547, 519, 1034, 1455, 2068, 602, 2468, 13827, 616, 2693, 547, 7985, 689, 267, 2468, 13827, 11313, 13165, 263, 610, 2468, 13827, 11313, 13165, 1070, 799, 568, 28815, 676, 936, 476, 736, 2468, 13827, 547, 18353, 602, 15549, 1569, 547, 2922, 1216, 269, 13488, 619, 11313, 13165, 666, 581, 3361, 676, 19131, 687, 267, 4551, 267, 610, 1486, 9926, 10394, 538, 1216, 269, 1306, 2147, 267, 621, 779, 1271, 547, 1202, 675, 602, 519, 1216, 596, 2461, 6534, 547, 568, 2973, 543, 1863, 540, 1022, 13277, 614, 1218, 563, 8253, 1152, 568, 621, 1271, 547, 723, 2922, 6704, 1216, 267, 855, 596, 849, 1616, 547, 1202, 675, 519, 1216, 568, 2922, 602, 596, 946, 585, 17678, 707, 4522, 267, 607, 4672, 538, 10425, 267, 585, 5373, 5613, 543, 5388, 267, 11067, 8286, 267, 3092, 269, 898, 1152, 3217, 513, 1507, 7061, 540, 26130, 1216, 547, 581, 1326, 513, 3978, 3390, 563, 268, 1879, 19482, 267, 22742, 267, 10068, 267, 16831, 1645, 267, 543, 17382, 7552, 1141, 596, 949, 581, 6704, 3768, 5962, 1216, 2676, 268, 30427, 7552, 547, 18353, 609, 22247, 6704, 1216, 2676, 306, 15856, 725, 267, 2147, 547, 14700, 610, 1216, 2126, 2152, 267, 602, 1118, 707, 1753, 1216, 3196, 22247, 2676, 268, 1306, 606, 13476, 7888, 2019, 819, 547, 4444, 543, 6704, 4420, 1194, 1216, 2676, 268, 1677, 993, 601, 1640, 622, 519, 6492, 540, 2922, 855, 3983, 2389, 8463, 1216, 2676, 1103, 713, 13959, 267, 649, 786, 581, 5097, 3168, 693, 1216, 2126, 689, 513, 7552, 5133, 269, 1924, 649, 786, 1413, 3622, 693, 6163, 596, 666, 946, 547, 2285, 596, 1494, 762, 1216, 950, 19482, 267, 22742, 267, 610, 10707, 18246, 269, 1869, 267, 3875, 540, 891, 6163, 666, 849, 581, 1031, 693, 1753, 952, 2877, 563, 1692, 547, 4643, 585, 15822, 4826, 593, 707, 25676, 454, 2005, 666, 581, 513, 3787, 18136, 585, 930, 2468, 13827, 547, 15475, 827, 519, 3390, 540, 2922, 6704, 1216, 269, 1703, 616, 1896, 2188, 547, 2015, 1519, 707, 1808, 10278, 267, 519, 1062, 540, 519, 7552, 267, 17697, 1216, 14107, 267, 543, 30756, 619, 2139, 693, 707, 10278, 563, 268, 1684, 930, 3408, 547, 1265, 856, 952, 519, 1216, 786, 581, 2922, 547, 4235, 593, 707, 7552, 269, 2142, 2386, 547, 1205, 1344, 689, 519, 936, 3562, 15082, 543, 4096, 762, 2959, 16216, 3052, 1421, 15509, 267, 14959, 267, 3312, 1072, 6392, 267, 7552, 16758, 2564, 5234, 1916, 268, 1869, 267, 596, 1058, 16785, 1018, 519, 1292, 2152, 616, 609, 519, 1216, 263, 552, 267, 1403, 519, 1216, 949, 581, 22247, 693, 707, 10278, 3052, 1421, 4551, 267, 19131, 687, 267, 543, 29008, 525, 1040, 634, 1826, 540, 1216, 14107, 786, 3313, 1018, 6163, 786, 581, 2500, 538, 8156, 519, 1216, 563, 268, 849, 267, 596, 1058, 3442, 606, 10858, 1259, 547, 1521, 543, 1118, 519, 1216, 2922, 547, 4235, 16216, 3052, 269, 14495, 519, 1216, 610, 19003, 519, 1216, 264, 602, 786, 23868, 519, 14107, 269, 1411, 1616, 547, 1118, 2386, 547, 3442, 513, 1062, 602, 786, 581, 798, 762, 693, 707, 10278, 563, 268, 16828, 267, 596, 1058, 4137, 856, 1018, 596, 991, 547, 3640, 609, 596, 547, 1521, 519, 1216, 16216, 3052, 1421, 1216, 18813, 2305, 3114, 14342, 610, 8904, 6882, 9126, 264, 693, 707, 7552, 10278, 563, 2171, 3580, 581, 6158, 827, 782, 540, 891, 2188, 538, 2417, 1469, 2429, 519, 5888, 269, 0, 16031, 1677, 903, 1453, 781, 2757, 17063, 1673, 6614, 29586, 18789, 1818, 1570, 9126, 1305, 454, 310, 1779, 883, 17063, 1673, 6614, 1148, 543, 1711, 12808, 7399, 454, 307, 773, 1673, 344, 4370, 2238, 616, 3638, 538, 5876, 689, 17063, 1673, 344, 4370, 547, 10085, 4370, 269, 5753, 12050, 569, 4952, 543, 1711, 538, 519, 2238, 267, 2769, 741, 1378, 1702, 11884, 267, 543, 1995, 519, 9589, 19259, 540, 12563, 1148, 543, 519, 7772, 540, 1863, 5137, 269, 634, 1453, 2899, 1586, 2813, 1007, 7399, 563, 307, 773, 1673, 344, 4370, 568, 513, 2757, 543, 2189, 10085, 4370, 1184, 538, 3624, 269, 898, 4016, 547, 513, 10085, 4370, 1505, 538, 799, 17234, 616, 13148, 13615, 1282, 10085, 4370, 865, 602, 789, 3112, 581 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 256, 1315, 23591, 24800, 19841, 341, 9226, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 258, 642, 574, 281, 325, 16780, 284, 583, 325, 268, 279, 454, 16482, 258, 14645, 9736, 476, 1708, 271, 23475, 2381, 2129, 2999, 8243, 2129, 14225, 275, 287, 326, 21166, 2593, 11417, 16482, 258, 20518, 3176, 896, 2474, 540, 519, 20037, 12689, 780, 12163, 11693, 606, 3768, 20526, 3529, 9967, 540, 562, 14622, 22921, 689, 476, 271, 547, 562, 268, 272, 267, 799, 814, 930, 13212, 538, 741, 14622, 269, 1411, 6108, 476, 272, 2034, 547, 3802, 936, 835, 6316, 540, 519, 3529, 269, 17776, 519, 5934, 942, 538, 7643, 596, 723, 547, 6108, 547, 2445, 782, 13212, 538, 519, 3529, 267, 4358, 693, 14584, 476, 271, 543, 4947, 1394, 547, 713, 14584, 780, 763, 8728, 540, 519, 3768, 20526, 3529, 616, 2016, 538, 519, 5044, 8728, 267, 1141, 8728, 5157, 316, 815, 1496, 2967, 267, 1979, 316, 1797, 602, 6818, 606, 6316, 8220, 519, 14622, 513, 328, 543, 1979, 269, 3958, 267, 972, 568, 513, 1630, 18978, 5044, 814, 7343, 548, 267, 1141, 814, 7343, 548, 5157, 316, 815, 3020, 1797, 602, 14584, 1775, 814, 606, 11945, 282, 6382, 267, 621, 1281, 711, 723, 1022, 11945, 780, 7078, 476, 272, 1384, 19152, 281, 562, 815, 476, 278, 267, 8728, 815, 20886, 271, 267, 272, 25662, 271, 267, 273, 25662, 272, 267, 275, 25662, 272, 267, 276, 25662, 273, 267, 274, 25662, 273, 267, 277, 316, 3910, 814, 7343, 548, 815, 1496, 32401, 267, 32401, 267, 25152, 267, 32401, 267, 25152, 267, 25152, 267, 32401, 2639, 20479, 281, 476, 279, 454, 15008, 281, 634, 4137, 1657, 4564, 519, 2016, 3529, 1141, 2699, 14622, 723, 606, 11945, 269, 2290, 6099, 2619, 547, 2445, 782, 13212, 568, 3254, 676, 519, 3039, 21985, 780, 7078, 476, 273, 1384, 19152, 281, 562, 815, 476, 278, 267, 8728, 815, 20886, 271, 267, 272, 25662, 271, 267, 273, 25662, 272, 267, 275, 25662, 272, 267, 276, 25662, 273, 267, 274, 25662, 273, 267, 277, 316, 3910, 814, 7343, 548, 815, 1496, 32401, 267, 32401, 267, 25152, 267, 32401, 267, 32401, 267, 25152, 267, 32401, 2639, 20479, 281, 476, 277, 454, 15008, 281, 634, 4137, 1657, 4564, 519, 2016, 3529, 1141, 2699, 14622, 723, 606, 11945, 269, 2290, 6099, 2619, 547, 2445, 782, 13212, 568, 3254, 676, 519, 3039, 21985, 780, 7078, 476, 274, 1384, 19152, 281, 562, 815, 476, 278, 267, 8728, 815, 20886, 271, 267, 272, 25662, 271, 267, 273, 25662, 272, 267, 275, 25662, 272, 267, 276, 25662, 273, 267, 274, 25662, 273, 267, 277, 316, 3910, 814, 7343, 548, 815, 1496, 32401, 267, 32401, 267, 32401, 267, 32401, 267, 32401, 267, 32401, 267, 32401, 2639, 20479, 281, 476, 271, 692, 3519, 14259, 6493, 1384, 453, 272, 10922, 562, 10922, 476, 10755, 454, 453, 539, 2471, 32324, 2652, 562, 910, 476, 272, 454, 453, 539, 2471, 5157, 4940, 26319, 2652, 476, 273, 454, 453, 271, 10922, 513, 328, 2999, 1979, 10922, 562, 910, 476, 272, 454, 453, 13757, 7343, 548, 32324, 2652, 562, 454, 12163, 5228, 17511, 1104, 5903, 454, 5814, 7510, 11687, 454, 5814, 19523, 7531, 5035, 8827, 912, 825, 1219, 1295, 11742, 4311, 267, 562, 281, 703, 267, 8728, 281, 5903, 314, 8266, 27776, 316, 3910, 814, 7343, 548, 281, 5903, 314, 321, 944, 8079, 9847, 703, 912, 1038, 5727, 11321, 476, 4962, 267, 476, 1708, 274, 476, 1691, 281, 3066, 12163, 1038, 575, 815, 20886, 316, 585, 9041, 538, 2039, 3799, 22708, 1038, 585, 513, 267, 536, 538, 8728, 912, 2018, 575, 314, 320, 4940, 6572, 6357, 994, 2018, 575, 314, 321, 4940, 6572, 5416, 2020, 1038, 1219, 546, 12028, 5416, 267, 533, 2187, 2018, 1427, 815, 1496, 271, 267, 814, 7343, 548, 314, 320, 27663, 2018, 585, 536, 538, 575, 314, 320, 14158, 3546, 952, 536, 2652, 533, 912, 7386, 3136, 454, 3546, 1253, 267, 1185, 318, 20625, 815, 546, 12028, 6357, 267, 513, 994, 3546, 952, 1185, 318, 20625, 912, 7386, 1427, 314, 271, 316, 6834, 1253, 1341, 476, 273, 454, 7386, 1427, 314, 272, 316, 1923, 284, 1185, 318, 20625, 454, 2018, 2132, 1427, 692, 1038, 2132, 546, 12028, 263, 271, 267, 7183, 25011, 271, 6540, 454, 287, 6853, 11687, 269, 5658, 269, 12407, 564, 10078, 3488, 16911, 3299, 1496, 454, 825, 16733, 278, 267, 20886, 271, 267, 272, 25662, 271, 267, 273, 25662, 272, 267, 275, 25662, 272, 267, 276, 25662, 273, 267, 274, 25662, 273, 267, 277, 316, 3910, 1496, 16178, 267, 16178, 267, 12148, 267, 16178, 267, 12148, 267, 12148, 267, 16178, 3910, 476, 279, 264, 13211, 825, 16733, 278, 267, 20886, 271, 267, 272, 25662, 271, 267, 273, 25662, 272, 267, 275, 25662, 272, 267, 276, 25662, 273, 267, 274, 25662, 273, 267, 277, 316, 3910, 1496, 16178, 267, 16178, 267, 12148, 267, 16178, 267, 16178, 267, 12148, 267, 16178, 3910, 476, 277, 264, 13211, 825, 16733, 278, 267, 20886, 271, 267, 272, 25662, 271, 267, 273, 25662, 272, 267, 275, 25662, 272, 267, 276, 25662, 273, 267, 274, 25662, 273, 267, 277, 316, 3910, 1496, 16178, 267, 16178, 267, 16178, 267, 16178, 267, 16178, 267, 16178, 267, 16178, 3910, 476, 271, 264, 13211, 7481, 3698, 1449, 263, 16911, 2187, 825, 7682, 26571, 15631, 272, 316, 2652, 8827, 14061, 2381, 11742, 28949, 16911, 11468, 268, 272, 316, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 19523, 20216, 527, 263, 6853, 11687, 6230, 664, 8443, 27324, 338, 2580, 29038, 341, 19312, 1341, 19523, 27769, 341, 4917, 0, 258, 256, 1315, 23591, 24800, 19841, 341, 9226, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 258, 642, 574, 281, 325, 16780, 284, 583, 325, 268, 279, 454, 16482, 258, 14645, 9736, 476, 1708, 271, 23475, 2381, 2129, 2999, 8243, 2129, 14225, 275, 287, 326, 21166, 2593, 11417, 16482, 258, 20518, 3176, 896, 2474, 540, 519, 20037, 12689, 780, 12163, 25363, 618, 513, 2063, 2987, 23867, 13050, 630, 299, 9281, 302, 264, 10518, 1210, 1152, 1079, 6446, 1132, 269, 634, 8045, 10518, 1058, 1489, 782, 519, 3252, 540, 513, 3339, 10518, 630, 335, 2313, 267, 1283, 267, 1402, 267, 543, 8900, 6393, 25363, 618, 519, 3733, 1805, 871, 1362, 1384, 453, 341, 1355, 7903, 17301, 1535, 264, 623, 16640, 3693, 1535, 547, 519, 1283, 540, 519, 10518, 563, 453, 842, 1402, 3890, 3816, 7174, 519, 3693, 593, 519, 1283, 540, 519, 10518, 543, 7024, 621, 563, 453, 842, 1283, 3890, 16849, 519, 3693, 593, 519, 1283, 540, 519, 10518, 563, 453, 2692, 18978, 8900, 3890, 16849, 3020, 952, 519, 10518, 568, 8900, 267, 7301, 6382, 780, 24687, 1384, 453, 2791, 1590, 946, 1152, 3044, 4238, 540, 513, 20313, 267, 799, 1797, 602, 1152, 7903, 547, 1394, 267, 32708, 9706, 641, 689, 4395, 267, 2450, 543, 568, 8900, 4238, 616, 4570, 563, 453, 27039, 593, 707, 1893, 267, 519, 20313, 949, 711, 581, 6462, 5065, 569, 269, 1411, 949, 18082, 513, 20313, 1210, 513, 1592, 610, 632, 4302, 630, 29602, 25804, 20313, 264, 607, 1279, 607, 596, 946, 1152, 513, 20313, 781, 3044, 4238, 780, 7078, 476, 272, 1384, 19152, 454, 14277, 7069, 1805, 871, 2580, 834, 335, 2313, 2580, 834, 335, 2313, 2580, 834, 9008, 2580, 834, 16647, 2580, 834, 24105, 31116, 314, 314, 3910, 1496, 272, 3910, 1496, 273, 3910, 1496, 3910, 1496, 3910, 1496, 27663, 20479, 454, 19559, 1638, 267, 14275, 267, 14275, 267, 476, 273, 267, 476, 273, 267, 7301, 6540, 15008, 454, 7069, 1805, 871, 1250, 1805, 871, 815, 1007, 3733, 1805, 871, 3890, 3248, 3240, 1805, 871, 4877, 2313, 263, 272, 11850, 3240, 1805, 871, 4877, 2313, 263, 273, 11850, 3240, 1805, 871, 6745, 641, 3890, 282, 12262, 2132, 476, 273, 454, 3240, 1805, 871, 21014, 3890, 282, 12262, 2132, 476, 273, 454, 3240, 1805, 871, 269, 24105, 3890, 282, 12262, 2132, 8771, 692, 3519, 14259, 6493, 1384, 453, 272, 10922, 1535, 10922, 476, 280, 454, 453, 4263, 1034, 476, 1911, 7125, 786, 581, 1500, 547, 7903, 267, 1402, 267, 1283, 267, 543, 8900, 563, 453, 5472, 519, 7125, 547, 1402, 543, 1283, 616, 4570, 780, 10287, 5346, 281, 2052, 596, 2936, 519, 10518, 1210, 1152, 835, 20313, 888, 12163, 5814, 19523, 454, 5228, 10070, 1104, 632, 4302, 454, 5814, 7510, 11687, 7531, 5035, 3733, 1805, 871, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 269, 4302, 1132, 815, 1496, 1372, 4302, 19572, 632, 4302, 3890, 2639, 1038, 1582, 269, 30915, 815, 476, 271, 692, 825, 1219, 7903, 4311, 267, 1535, 281, 703, 264, 9847, 7183, 912, 1038, 1582, 269, 4302, 1132, 314, 1345, 269, 30915, 4940, 6572, 3287, 2020, 825, 1219, 1402, 4311, 264, 9847, 703, 912, 1038, 1247, 7003, 4311, 269, 4302, 1132, 314, 1345, 269, 30915, 8079, 285, 272, 912, 2018, 1582, 269, 4302, 1132, 27007, 1345, 269, 30915, 266, 272, 264, 260, 273, 4940, 6572, 4311, 269, 4302, 1132, 314, 1345, 269, 30915, 4940, 335, 963, 1111, 15405, 1038, 1427, 815, 1582, 269, 4302, 1132, 314, 1345, 269, 30915, 4940, 335, 963, 1111, 4590, 1038, 1582, 269, 30915, 815, 630, 1345, 269, 30915, 266, 272, 264, 260, 273, 454, 1038, 2132, 1427, 692, 825, 1219, 1283, 4311, 264, 9847, 703, 912, 1038, 1427, 815, 1582, 21014, 4590, 1038, 1582, 269, 4302, 1132, 314, 1345, 269, 30915, 4940, 6572, 263, 4958, 994, 1038, 2132, 1427, 692, 825, 1219, 8900, 4311, 264, 9847, 536, 944, 912, 1038, 2132, 782, 12759, 32429, 264, 2652, 476, 271, 585, 7117, 538, 1582, 269, 4302, 1132, 9239, 287, 6853, 11687, 269, 5658, 269, 12407, 564, 10078, 3488, 5570, 1343, 267, 7440, 267, 2503, 2644, 3299, 1496, 454, 825, 630, 14277, 7069, 1805, 871, 2580, 834, 335, 2313, 2580, 834, 335, 2313, 2580, 834, 9008, 2580, 834, 16647, 2580, 834, 24105, 257, 16689, 672, 20886, 3910, 1496, 272, 3910, 1496, 273, 3910, 1496, 3910, 1496, 3910, 1496, 14963, 2676, 672, 1496, 14085, 267, 7183, 267, 7183, 267, 476, 273, 267, 476, 273, 267, 8771, 316, 13211, 7481, 3698, 1449, 263, 5570, 1343, 267, 7440, 267, 2503, 2644, 2187, 825, 1073, 329, 815, 5895, 1023, 3890, 314, 5570, 1343, 21014, 263, 271, 13580, 28949, 1173, 3701, 21014, 263, 271, 4917, 825, 4890, 338, 815, 11713, 825, 585, 4699, 323, 267, 2415, 538, 23407, 263, 5570, 1343, 267, 7440, 2187, 1038, 4890, 338, 6910, 263, 1326, 3430, 337, 263, 28128, 267, 4699, 323, 7565, 265, 1173, 4917, 825, 7682, 2503, 2644, 314, 272, 281, 316, 2652, 4890, 338, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 19523, 20216, 527, 263, 6853, 11687, 6230, 664, 8443, 27324, 338, 2580, 29038, 341, 19312, 1341, 19523, 27769, 341, 4917, 0, 258, 256, 1315, 23591, 24800, 19841, 341, 9226, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 258, 642, 574, 281, 325, 16780, 284, 583, 325, 268, 279, 454, 16482, 258, 14645, 9736, 476, 1708, 271, 23475, 2381, 2129, 2999, 8243, 2129, 14225, 275, 287, 326, 21166, 2593, 11417, 16482, 258, 20518, 3176, 896, 2474, 540, 519, 20037, 12689, 780, 12163, 288, 5444, 5569, 666, 581, 6719, 676, 606, 476, 279, 7302, 541, 1461, 1279, 5569, 267, 609, 5079, 689, 1412, 288, 3299, 1412, 290, 3299, 1412, 294, 3299, 543, 1412, 307, 262, 780, 22428, 649, 991, 547, 8495, 513, 15817, 689, 513, 5444, 5569, 1376, 294, 2940, 547, 513, 5444, 5569, 1439, 294, 2940, 1141, 835, 15817, 568, 3989, 607, 835, 2582, 1915, 4957, 538, 519, 5444, 5569, 780, 453, 2690, 1383, 267, 834, 288, 3722, 290, 31769, 22721, 257, 25341, 834, 288, 3722, 290, 31769, 14011, 257, 568, 835, 15817, 780, 2467, 568, 849, 513, 5444, 4871, 4871, 602, 5638, 782, 519, 4570, 5444, 13592, 269, 589, 5444, 1590, 581, 538, 4871, 547, 1118, 621, 513, 4570, 5444, 5569, 780, 11693, 519, 1079, 5444, 12673, 1376, 294, 2940, 543, 1439, 294, 2940, 543, 519, 5444, 4871, 4871, 267, 2132, 519, 5934, 1297, 540, 13592, 2877, 547, 4573, 622, 689, 1376, 294, 2940, 547, 1439, 294, 2940, 269, 1403, 972, 568, 1100, 971, 513, 15817, 267, 2132, 910, 272, 780, 9616, 602, 519, 4358, 1448, 568, 10924, 547, 581, 4570, 267, 865, 621, 1522, 711, 581, 3769, 538, 519, 4871, 780, 7078, 476, 272, 1384, 19152, 281, 1376, 294, 2940, 815, 834, 288, 3722, 290, 31769, 22721, 2580, 1439, 294, 2940, 815, 834, 288, 3722, 290, 31769, 14011, 2580, 4871, 815, 22373, 288, 3722, 290, 31769, 14011, 31116, 20479, 281 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 606, 1557, 269, 4352, 972, 616, 930, 2596, 3268, 547, 1603, 606, 7084, 267, 1557, 1603, 568, 711, 513, 5276, 1184, 269, 875, 547, 2328, 606, 2500, 1557, 910, 4557, 1283, 6280, 1557, 1603, 2835, 4388, 585, 1053, 15942, 327, 732, 4199, 1934, 568, 513, 5542, 540, 4388, 689, 938, 1565, 9666, 619, 593, 519, 1888, 540, 1557, 1603, 269, 1603, 5359, 543, 10467, 666, 581, 513, 18447, 19175, 269, 1451, 875, 547, 4612, 2055, 6280, 1557, 1603, 2835, 2328, 707, 7084, 2073, 2497, 2073, 875, 547, 1544, 1867, 563, 10472, 1863, 1576, 1557, 2073, 1867, 1603, 1983, 568, 2966, 547, 948, 596, 1020, 519, 1983, 596, 991, 547, 2328, 3927, 585, 4081, 5301, 269, 1034, 2835, 593, 1557, 1603, 786, 3761, 596, 609, 513, 1297, 540, 2203, 3594, 1765, 2445, 930, 540, 891, 607, 789, 616, 1390, 3610, 256, 1100, 2339, 1018, 519, 1888, 568, 596, 786, 1294, 10486, 1063, 707, 1603, 4247, 891, 2203, 3594, 269, 713, 568, 1317, 1082, 2934, 540, 1603, 616, 1455, 2066, 1641, 2127, 269, 2835, 593, 1557, 1603, 585, 6280, 1382, 855, 20485, 666, 3362, 1413, 693, 519, 14469, 1686, 547, 1205, 513, 2631, 540, 2436, 1053, 15548, 538, 3160, 5666, 269, 2110, 21852, 616, 1100, 2835, 593, 1557, 1603, 585, 6280, 1966, 585, 1022, 1870, 4566, 2073, 3043, 4574, 267, 4757, 6725, 11044, 267, 3312, 8903, 6280, 1557, 1603, 2835, 1357, 1543, 269, 1018, 568, 606, 1557, 286, 2497, 540, 606, 1557, 476, 275, 269, 1603, 3217, 2259, 476, 276, 269, 1644, 1344, 269, 607, 606, 15938, 10927, 2875, 693, 6280, 267, 596, 786, 4440, 581, 4397, 547, 798, 930, 1603, 630, 3594, 4744, 31277, 264, 538, 1034, 540, 707, 6030, 269, 547, 2743, 519, 6788, 540, 6280, 1603, 267, 596, 786, 991, 547, 796, 16753, 3652, 596, 949, 723, 4121, 538, 1164, 1153, 563, 29006, 3652, 949, 723, 5280, 596, 547, 1544, 543, 2328, 707, 3594, 676, 3246, 513, 4712, 268, 1500, 2497, 596, 1223, 3514, 707, 2093, 883, 269, 4081, 1603, 585, 10927, 1053, 281, 1898, 1983, 543, 4247, 269, 544, 747, 10247, 6280, 2046, 269, 713, 1433, 2488, 930, 1360, 1434, 3631, 540, 4081, 1603, 543, 930, 3730, 23456, 593, 4081, 2511, 269, 621, 568, 2523, 3730, 585, 4896, 945, 2115, 547, 2328, 909, 513, 1382, 1957, 269, 2630, 596, 685, 26270, 1265, 5697, 1806, 540, 3594, 602, 968, 5249, 267, 9232, 607, 9930, 3990, 676, 938, 23504, 12233, 269, 538, 1142, 540, 891, 3594, 1272, 602, 13988, 609, 519, 2528, 2073, 2073, 2418, 267, 1053, 941, 2111, 547, 2671, 2984, 689, 741, 4948, 2729, 547, 7866, 1945, 2835, 827, 741, 1915, 2418, 693, 5577, 9469, 269, 1930, 6280, 26159, 563, 785, 1339, 1930, 6280, 6030, 723, 3017, 26159, 6163, 543, 596, 786, 991, 547, 5077, 519, 1576, 25156, 547, 2638, 799, 568, 4397, 540, 596, 269, 519, 1930, 6280, 2709, 519, 1739, 2489, 5583, 593, 26159, 281, 1946, 568, 14344, 707, 2959, 865, 1271, 286, 513, 2789, 1433, 2689, 1557, 6280, 1557, 1603, 2835, 3322, 12570, 519, 2298, 540, 1079, 610, 811, 2835, 602, 3382, 519, 1482, 2949, 1641, 1858, 1496, 552, 269, 2073, 2079, 540, 24067, 7963, 6433, 316, 610, 602, 616, 1644, 547, 1142, 824, 538, 513, 1880, 1259, 1496, 552, 269, 2073, 7311, 16135, 3069, 2409, 547, 1353, 2875, 1569, 547, 2069, 4940, 593, 1603, 519, 2852, 3498, 1557, 267, 476, 1839, 628, 16683, 7160, 281, 519, 1883, 547, 10343, 693, 519, 2852, 540, 707, 3903, 1496, 3771, 787, 536, 4954, 323, 316, 593, 32312, 269, 2608, 1863, 265, 11288, 593, 27216, 3091, 269, 835, 540, 519, 1034, 17173, 3344, 540, 519, 2852, 3498, 1184, 568, 519, 1557, 269, 4061, 519, 12819, 1557, 1590, 581, 2347, 267, 2073, 6028, 1100, 8969, 607, 547, 922, 8247, 2073, 25401, 865, 4661, 269, 519, 2947, 268, 5037, 1557, 563, 320, 1455, 1505, 585, 1603, 606, 12819, 1557, 568, 519, 2947, 268, 5037, 1935, 269, 713, 568, 2705, 676, 1100, 1797, 519, 1152, 4542, 585, 1603, 971, 3594, 269, 568, 519, 1753, 540, 2681, 5964, 1533, 6280, 262, 521, 1930, 268, 1569, 1565, 1604, 267, 519, 1603, 18638, 269, 946, 713, 3135, 547, 2328, 1451, 547, 2328, 267, 2073, 1491, 1603, 5049, 1569, 2200, 585, 1603, 3610, 269, 513, 2875, 519, 798, 685, 521, 2073, 513, 5856, 2115, 547, 1174, 4010, 1018, 17096, 568, 1810, 685, 512, 338, 269, 596, 949, 1616, 547, 1224, 811, 827, 17096, 1107, 3404, 5112, 6280, 17096, 7650, 269, 938, 2688, 1557, 1603, 3028, 1797, 707, 1957, 786, 581, 2854, 689, 15072, 676, 606, 4274, 5856, 945, 24870, 538, 602, 2361, 269, 1557, 7291, 282, 1557, 6280, 1557, 1603, 2835, 1603, 282, 3498, 1557, 282, 16075, 1557, 1603, 282, 2852, 1557, 282, 5098, 4574, 282, 1433, 2689, 1603, 282, 2165, 1957, 282, 2688, 2165, 1957, 282, 1686, 269, 2835, 593, 1557, 1603, 585, 6280, 519, 18579, 949, 30035, 14804, 1344, 547, 519, 6708, 519, 23930, 568, 2838, 676, 1876, 3177, 602, 519, 8391, 5428, 786, 1683, 547, 519, 12607, 3151, 5428, 5401, 5469, 267, 540, 971, 1931, 2073, 2073, 786, 1491, 10257, 3268, 547, 16311, 2073, 7939, 267, 16324, 1931, 267, 1141, 15868, 3970, 519, 3268, 540, 1022, 2838, 23930, 269, 519, 4081, 8699, 32367, 910, 606, 7471, 3391, 547, 1018, 596, 991, 547, 1589, 827, 950, 1603, 15388, 26159, 693, 6280, 563, 514, 11079, 4388, 3381, 18862, 267, 6402, 5751, 547, 1449, 3054, 269, 1557, 1603, 630, 1294, 849, 938, 3381, 18862, 593, 1557, 1603, 264, 1867, 1603, 630, 1294, 849, 938, 3381, 18862, 593, 1867, 1603, 1040, 713, 476, 273, 526, 7160, 540, 713, 3551, 3391, 547, 1557, 1603, 910, 606, 1898, 5578, 585, 1053, 693, 782, 6280, 1557, 1603, 2835, 2157, 269, 621, 2882, 4274, 5796, 543, 4052, 5583, 689, 606, 4810, 2278, 269, 1053, 666, 13497, 2087, 741, 3446, 10526, 676, 8380, 883, 2259, 930, 2241, 267, 855, 17170, 3741, 540, 1557, 1603, 269, 1376, 707, 1565, 689, 1739, 543, 28600, 803, 593, 844, 7702, 585, 811, 1344, 269, 1603, 3594, 585, 546, 27186, 798, 2479, 6999, 602, 596, 1223, 2328, 519, 3501, 6280, 1557, 286, 1603, 606, 4081, 1557, 1797, 6752, 532, 513, 17396, 1305, 540, 2093, 883, 606, 4661, 269, 1317, 3594, 2835, 616, 9247, 5276, 1765, 789, 2709, 835, 2856, 693, 513, 942, 1765, 789, 1590, 1459, 741, 2093, 538, 519, 1931, 602, 2306, 1034, 2631, 547, 513, 5467, 269, 6707, 1785, 1005, 606, 1557, 1797, 11504, 547, 513, 5467, 262, 521, 7954, 563, 15276, 1603, 3594, 585, 6280, 267, 910, 1557, 3028, 15731, 269, 1964, 21407, 602, 596, 786, 581, 8655, 513, 605, 538, 519, 2361, 540, 707, 1353, 269, 32047, 782, 540, 938, 4966, 616, 5432, 609, 4704, 6163, 512, 1834, 3838, 676, 269, 952, 596, 616, 10478, 585, 930, 540, 519, 1655, 9513, 1557, 1603, 2835, 267, 1287, 4440, 596, 723, 8452, 693, 519, 2953, 2985, 269, 1934, 596, 786, 1265, 519, 6574, 1592, 540, 2835, 1644, 547, 2500, 3608, 1557, 1603, 269, 713, 1353, 3391, 9607, 519, 1888, 540, 1557, 1603, 269, 519, 1557, 568, 1031, 607, 513, 1106, 540, 4879, 538, 1082, 4081, 10459, 568, 1031, 538, 1312, 17440, 2073, 11400, 269, 621, 568, 519, 1034, 1455, 1445, 585, 1353, 29492, 1851, 1053, 1210, 1565, 1646, 269, 547, 12446, 693, 513, 1134, 268, 6462, 563, 15290, 596, 991, 707, 2055, 12943, 2835, 593, 1557, 1603, 585, 6280, 676, 519, 6075, 1489, 267, 972, 616, 3905, 1467, 17066, 602, 596, 666, 946, 547, 1289, 269, 519, 1967, 2557, 568, 519, 6871, 540, 6192, 4574, 538, 6935, 547, 782, 4574, 2854, 269, 649, 616, 519, 1152, 1747, 2228, 602, 13071, 596, 3251, 538, 1852, 540, 707, 1382, 1957, 269, 1114, 4081, 14908, 616, 5941, 1141, 10858, 6045, 269, 676, 1739, 519, 5796, 538, 713, 1433, 2073, 1053, 1058, 2087, 741, 1557, 1603, 1983, 581, 30039, 609, 2362, 7436, 269, 519, 1641, 2339, 540, 519, 1433, 2306, 621, 5078, 547, 782, 2157, 540, 6280, 1053, 1312, 15938, 6026, 2022, 12392, 1053, 269, 1753, 6780, 269, 1775, 10093, 262, 512, 1224, 519, 2835, 538, 3833, 513, 1247, 267, 855, 1775, 993, 7168, 1978, 602, 834, 3594, 602, 5249, 257, 568, 711, 519, 3771, 10542, 1557, 1433, 1775, 3314, 711, 6010, 532, 269, 1775, 262, 26270, 1413, 585, 519, 2835, 2663, 9522, 697, 269, 952, 1775, 3314, 7157, 519, 1412, 3594, 602, 5249, 257, 729, 513, 28094, 540, 827, 476, 2004, 3594, 602, 4951, 513, 3099, 540, 2511, 543, 1185, 1044, 4843, 547, 513, 1297, 540, 3506, 269, 5697, 1353, 1983, 2835, 538, 519, 14193, 5399, 543, 930, 7270, 563, 2421, 818, 331, 2940, 1762, 524, 20369, 322, 630, 705, 264, 519, 2326, 723, 1044, 5697, 547, 581, 3730, 585, 4830, 1353, 1053, 267, 547, 581, 1863, 2073, 2073, 943, 323, 2139, 689, 519, 6622, 629, 2444, 320, 6280, 5399, 269, 2835, 593, 1557, 1603, 585, 6280, 269, 649, 2709, 1152, 1283, 7819, 5830, 2835, 593, 1557, 1603, 585, 6280, 945, 917, 875, 547, 2057, 891, 1919, 1100, 2339, 1018, 519, 1888, 568, 269, 3769, 616, 519, 10726, 6421, 2073, 519, 18459, 262, 521, 2835, 593, 1557, 1603, 585, 6280, 11755, 1454, 540, 795, 4615, 262, 824, 6044, 269, 1034, 2835, 6009, 2154, 1004, 547, 581, 2111, 547, 1589, 9691, 1557, 1603, 568, 835, 1259, 602, 519, 6280, 666, 1294, 602, 1053, 616, 3384, 2565, 3206, 269, 538, 1082, 6009, 1004, 616, 2838, 547, 2328, 5359, 602, 786, 3391, 519, 2962, 540, 1866, 1107, 585, 1383, 538, 8808, 2565, 3206, 568, 2838, 547, 798, 713, 269, 713, 4199, 5956, 609, 513, 2489, 2835, 6609, 540, 1557, 1603, 543, 7575, 547, 513, 4901, 540, 1455, 1557, 11964, 1053, 949, 7237, 2066, 519, 6437, 269, 519, 2185, 11964, 540, 3594, 630, 6609, 2073, 1163, 3789, 267, 32538, 4661, 566, 264, 616, 1455, 1957, 10467, 596, 949, 7237, 538, 707, 1603, 5049, 269, 519, 5304, 568, 585, 7247, 649, 2328, 269, 538, 519, 3510, 540, 513, 6280, 1557, 267, 519, 5304, 568, 1419, 16494, 269, 602, 568, 711, 547, 2161, 602, 707, 1557, 786, 711, 581, 1224, 5265, 267, 855, 602, 519, 1268, 585, 7247, 596, 2328, 3006, 2965, 15320, 5594, 689, 945, 568, 16287, 707, 1557, 269, 607, 513, 1164, 1153, 7005, 4116, 2228, 20131, 1775, 262, 1654, 2097, 547, 3494, 7005, 3332, 568, 693, 519, 5377, 6280, 1557, 1603, 2835, 540, 519, 834, 5172, 5396, 257, 1592, 585, 1034, 1053, 563, 15290, 19430, 607, 547, 1946, 1034, 786, 2161, 1448, 10145, 834, 1775, 13842, 1603, 269, 834, 950, 621, 2501, 547, 519, 1184, 540, 14335, 606, 1557, 267, 7005, 1362, 568, 269, 1318, 13944, 2511, 543, 2450, 585, 513, 4487, 5098, 269, 630, 1292, 6810, 540, 519, 1957, 264, 2433, 818, 658, 476, 1691, 12050, 269, 3044, 19114, 585, 476, 277, 343, 280, 2450, 1433, 269, 519, 9511, 10189, 2488, 2147, 3681, 3606, 8112, 585, 1957, 2450, 19114, 269, 4259, 519, 8908, 4781, 786, 3432, 909, 2010, 23293, 1317, 5515, 616, 711, 16041, 1175, 8612, 676, 513, 7406, 269, 2239, 1557, 476, 11277, 563, 17218, 343, 786, 849, 4159, 3834, 1156, 566, 630, 936, 21459, 554, 7901, 9963, 264, 543, 269, 1557, 593, 10229, 606, 1148, 547, 6133, 269, 2979, 1867, 5098, 267, 12031, 10959, 585, 3735, 343, 13657, 281, 4170, 540, 519, 10927, 1153, 949, 723, 4957, 2094, 713, 729, 2854, 269, 2638, 741, 11249, 2985, 1934, 585, 4744, 31277, 543, 519, 4513, 269, 4063, 602, 2671, 17218, 343, 3096, 513, 24067, 3735, 343, 3892, 267, 799, 7472, 6054, 538, 513, 275, 2450, 676, 9949, 269, 1930, 606, 1383, 540, 519, 9511, 10189, 538, 2671, 17218, 343, 1957, 2450, 10066, 19114, 269, 1957, 2450, 10066, 19114, 616, 519, 1034, 1455, 2985, 2609, 602, 1590, 581, 4957, 4470, 593, 519, 1826, 540, 3561, 269, 1208, 712, 538, 1039, 2581, 685, 521, 3594, 568, 30109, 4401, 673, 543, 30237, 673, 269, 1208, 712, 543, 20451, 616, 1644, 1360, 5702, 538, 1010, 3594, 269, 538, 1034, 540, 519, 942, 621, 568, 2938, 267, 1141, 1208, 712, 568, 6829, 646, 20475, 602, 4401, 1227, 269, 32047, 6439, 1518, 1165, 15533, 2073, 1010, 17409, 568, 5497, 6280, 1557, 1603, 2835, 547, 544, 754, 267, 2953, 21494, 885, 269, 911, 1097, 530, 13831, 585, 713, 3923, 262, 521, 3888, 618, 540, 834, 538, 519, 21517, 519, 9565, 1557, 626, 2073, 834, 649, 616, 10023, 834, 593, 18854, 2073, 1208, 712, 267, 834, 519, 9102, 4528, 540, 513, 11000, 676, 13275, 6328 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1983, 2556, 547, 8853, 538, 2221, 781, 2518, 1242, 2486, 269, 5015, 267, 2348, 2789, 5380, 2636, 873, 547, 3565, 3638, 4030, 547, 1362, 5717, 267, 23429, 1565, 2833, 585, 3025, 3238, 780, 6962, 281, 16871, 16844, 538, 3776, 4147, 7741, 692, 2026, 938, 2950, 1332, 5051, 3309, 267, 8508, 6404, 268, 15869, 2833, 3587, 1898, 269, 2913, 721, 11441, 547, 11349, 8537, 4928, 5468, 1141, 1169, 1367, 7959, 2938, 267, 4862, 267, 543, 12595, 7488, 540, 741, 7292, 17539, 269, 5457, 267, 4763, 3884, 1405, 1175, 827, 14120, 3604, 282, 621, 849, 3322, 9301, 1455, 2666, 543, 2679, 13123, 2066, 1585, 4529, 269, 8625, 267, 1577, 781, 6536, 513, 5108, 8149, 547, 9698, 267, 2463, 267, 543, 1514, 5126, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8624, 548, 2471, 616, 4098, 547, 1491, 3818, 24055, 2152, 12517, 269, 2991, 519, 22457, 13685, 693, 519, 2160, 540, 16713, 630, 6518, 3769, 513, 2220, 770, 11986, 31960, 538, 28797, 538, 513, 18959, 25047, 6202, 607, 1134, 607, 519, 2875, 1560, 7022, 1373, 1572, 519, 562, 30087, 264, 723, 1942, 519, 1153, 606, 6059, 476, 3607, 2929, 9489, 538, 8907, 269, 634, 3992, 568, 2312, 281, 10168, 568, 513, 1966, 269, 1656, 621, 779, 513, 1966, 519, 9945, 666, 1406, 6488, 547, 26777, 563, 288, 1804, 5188, 814, 2919, 1063, 1053, 540, 2681, 593, 3786, 4926, 1472, 519, 4182, 269, 3245, 4563, 22032, 17460, 23405, 547, 31869, 1326, 1144, 2160, 779, 8622, 8540, 540, 922, 1909, 538, 8474, 269, 2060, 5518, 15525, 779, 9550, 538, 476, 1220, 279, 972, 729, 1483, 4126, 602, 3013, 1185, 9411, 513, 2022, 268, 24055, 2486, 269, 1717, 267, 10168, 568, 711, 1945, 602, 606, 9550, 666, 4194, 563, 4517, 621, 5526, 602, 12621, 616, 8744, 519, 6404, 5198, 1995, 883, 519, 6643, 269, 898, 2306, 2631, 6236, 519, 11667, 2085, 540, 3818, 24055, 1004, 568, 476, 866, 267, 610, 2852, 2085, 269, 769, 1840, 519, 3818, 24055, 2551, 568, 519, 521, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 300, 12089, 7304, 864, 23800, 538, 4065, 257, 607, 851, 540, 834, 28765, 22723, 13493, 1315, 645, 4275, 1017, 1299, 5564, 4275, 1017, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 589, 3495, 1670, 16183, 1143, 543, 922, 20556, 547, 11470, 267, 7395, 673, 30527, 267, 543, 16723, 18903, 692, 1103, 938, 6514, 540, 519, 1585, 3029, 540, 19473, 1143, 267, 649, 786, 5490, 883, 519, 1523, 540, 24936, 1670, 19473, 1143, 267, 799, 29102, 602, 2418, 543, 7881, 666, 581, 5462, 998, 2601, 543, 2963, 1510, 8506, 519, 6228, 540, 513, 25976, 269, 901, 1880, 6216, 540, 19473, 1143, 11363, 519, 946, 540, 2565, 3206, 543, 10952, 14374, 547, 6218, 5837, 21520, 543, 6848, 8155, 269, 769, 713, 1770, 267, 649, 786, 2263, 875, 891, 3741, 12969, 609, 519, 5339, 11964, 540, 5708, 267, 9589, 17779, 267, 543, 5626, 9059, 780, 293, 2109, 607, 513, 27990, 585, 10289, 18880, 692, 4263, 922, 4295, 267, 3332, 5713, 607, 513, 1797, 540, 3695, 519, 10848, 540, 519, 1480, 1995, 269, 3414, 9423, 267, 4589, 1459, 6386, 602, 4161, 3988, 547, 4983, 741, 1378, 4978, 543, 2418, 269, 1635, 2502, 609, 14070, 1568, 267, 2043, 666, 20920, 609, 7493, 2035, 543, 2015, 4244, 5380, 269, 1280, 1383, 267, 6723, 2107, 6202, 781, 476, 2735, 275, 7512, 721, 547, 2992, 2390, 2152, 540, 1379, 267, 13178, 267, 543, 1367, 13190, 269, 6684, 267, 25548, 748, 670, 5060, 2917, 781, 4858, 557, 1715, 2622, 12987, 8086, 593, 519, 4539, 540, 6639, 13120, 543, 15949, 517, 1143, 269, 1452, 5931, 4196, 607, 6472, 585, 7234, 5683, 21140, 543, 10442, 2686, 8155, 780, 300, 698, 673, 30527, 543, 10025, 25960, 618, 692, 763, 9135, 540, 9589, 17779, 2417, 635, 27289, 2055, 4478, 2418, 676, 10962, 28531, 2609, 1369, 6382, 27217, 5468, 269, 16992, 6330, 30642, 8916, 1141, 519, 3652, 540, 4641, 3100, 547, 18846, 543, 6335, 269, 901, 2189, 4999, 540, 17779, 543, 14810, 2591, 2757, 12331, 540, 1620, 543, 7664, 269, 3718, 971, 607, 28792, 25661, 807, 3057, 4302, 345, 781, 2290, 25569, 13012, 540, 3752, 3363, 543, 570, 18223, 31513, 781, 5617, 3437, 3196, 3988, 547, 13720, 13943, 18408, 827, 1686, 267, 3961, 267, 543, 13919, 269, 5047, 267, 891, 2984, 6542, 602, 519, 6302, 1063, 1318, 543, 4636, 616, 1419, 23324, 543, 13865, 780, 20329, 1670, 18903, 543, 8682, 5937, 18752, 692, 21010, 539, 547, 1312, 9589, 17779, 543, 24936, 1670, 19473, 1143, 568, 519, 10206, 540, 5626, 9059, 1107, 519, 2856, 602, 3197, 4865, 6456, 5759, 610, 7060, 12082, 538, 741, 32436, 269, 3414, 26126, 543, 1582, 22523, 267, 23233, 10244, 891, 24353, 15421, 547, 7753, 9465, 543, 3035, 2123, 2208, 269, 634, 8613, 3126, 6181, 542, 2488, 513, 8903, 14745, 540, 5626, 9059, 607, 6424, 8065, 518, 12066, 956, 609, 1010, 2790, 1072, 1247, 8195, 26500, 1010, 4567, 607, 513, 3532, 30354, 5827, 540, 19249, 4641, 3294, 780, 3528, 6313, 891, 11964, 998, 606, 24936, 1670, 19473, 626, 7828, 267, 649, 5431, 519, 2956, 540, 4830, 7744, 543, 12170, 2963, 538, 5935, 938, 1871, 1949, 269, 13298, 982, 13461, 9003, 593, 3909, 14985, 610, 2245, 267, 649, 4497, 609, 3309, 5380, 4843, 538, 5708, 267, 9589, 17779, 267, 543, 5626, 9059, 269, 1284, 11760, 602, 5837, 10850, 11457, 936, 942, 543, 1590, 3082, 547, 1007, 1344, 543, 2833, 269, 5015, 267, 8508, 24936, 1670, 19473, 1143, 2636, 721, 547, 1935, 891, 5339, 10600, 609, 1930, 8186, 543, 9691, 2708, 519, 20519, 540, 1585, 3661, 1949, 780, 14483, 25684, 543, 10241, 692, 1103, 2221, 781, 5051, 8701, 1242, 2486, 267, 5807, 5188, 1472, 3838, 2418, 814, 1831, 1898, 269, 12056, 609, 3332, 6087, 721, 547, 11349, 6568, 543, 5660, 14595, 2081, 540, 1373, 269, 3958, 267, 6220, 24936, 1670, 19473, 1143, 7512, 11826, 2079, 543, 15819, 540, 3964, 8155, 780, 2690, 3236, 267, 28923, 781, 9542, 540, 29484, 717, 2727, 534, 781, 3209, 634, 9995, 2006, 6799, 9458, 609, 606, 5044, 540, 16750, 7919, 945, 4749, 2243, 741, 1378, 3483, 543, 1747, 538, 519, 7122, 269, 16792, 24936, 1670, 19473, 1143, 547, 713, 960, 20217, 13588, 547, 31739, 2436, 7915, 22556, 6818, 10446, 540, 10143, 6304, 269, 5548, 9200, 725, 971, 607, 891, 20838, 519, 10083, 540, 24936, 1670, 19473, 1143, 538, 4207, 11407, 780, 6962, 692, 7437, 606, 6514, 540, 24936, 1670, 19473, 1143, 543, 922, 4296, 547, 5708, 267, 9589, 17779, 267, 543, 5626, 9059, 267, 649, 723, 8268, 519, 15491, 2470, 540, 1871, 10385, 543, 5683, 3375, 6194, 269, 16871, 24936, 1670, 19473, 1143, 19329, 7279, 267, 25949, 267, 543, 7214, 21548, 1107, 7907, 602, 3895, 6209, 6278, 609, 3332, 543, 7520, 16268, 7391, 4478, 938, 2479, 21608, 1871, 1949, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 17843, 9877, 540, 16183, 626, 281, 589, 3495, 1670, 267, 6396, 1670, 267, 1323, 1105, 626, 267, 17629, 6599, 545, 626, 267, 7464, 626, 267, 543, 21929, 626, 454, 296, 993, 606, 24936, 1670, 19473, 626, 543, 589, 3495, 1670, 16183, 1143, 568, 899, 454, 16058, 2065, 4550, 7308, 1143, 543, 4550, 3146, 5554, 542, 1143, 609, 2178, 16712, 1143, 563, 5278, 1004, 949, 5469, 594, 993, 2186, 540, 513, 1114, 2186, 540, 19473, 626, 713, 568, 1317, 594, 993, 606, 24936, 1670, 19473, 626, 630, 7407, 3069, 610, 1871, 2257, 19473, 626, 1040, 589, 3495, 1670, 16183, 1143, 568, 899, 1480, 2065, 4550, 7308, 1143, 543, 4550, 3146, 5554, 542, 1143, 609, 2178, 16712, 1143, 269, 5457, 950, 2576, 3045, 25555, 602, 789, 616, 606, 19473, 626, 282, 19700, 949, 8263, 972, 568, 1152, 835, 1826, 540, 19473, 626, 2139, 267, 950, 2731, 1352, 568, 513, 1114, 1826, 540, 19473, 626, 269, 1306, 606, 24936, 1670, 19473, 626, 589, 3495, 1108, 568, 513, 1804, 8404, 543, 621, 568, 1871, 3069, 799, 568, 513, 7828, 547, 2070, 543, 3024, 1125, 610, 1871, 9794, 4502, 610, 1018, 568, 17709, 607, 1134, 607, 1018, 568, 1434, 610, 3983, 540, 3152, 610, 14758, 1871, 269, 1677, 1224, 811, 593, 1871, 3069, 2638, 621, 856, 2228, 693, 281, 18628, 15610, 540, 13898, 630, 7407, 3069, 264, 13017, 454, 2026, 606, 24936, 1670, 693, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 16337, 1315, 7395, 673, 30527, 1315, 16723, 18903, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 589, 1906, 1296, 1394, 267, 594, 3357, 2066, 513, 4241, 2022, 689, 513, 23749, 3593, 3957, 834, 289, 841, 5319, 28387, 328, 770, 257, 945, 10645, 547, 581, 513, 19622, 29667, 344, 25433, 269, 3571, 2984, 941, 2141, 9159, 267, 4904, 609, 24457, 543, 13395, 4030, 827, 519, 1158, 540, 32548, 6051, 269, 2290, 1880, 9661, 11542, 856, 547, 803, 1813, 547, 922, 2189, 11100, 540, 9644, 267, 8082, 267, 543, 22638, 23274, 780, 2005, 3323, 1055, 21030, 1836, 2614, 282, 645, 841, 5319, 28387, 328, 770, 729, 25461, 609, 9477, 1524, 513, 812, 3957, 25455, 267, 945, 1185, 1236, 5792, 1010, 5480, 4266, 1310, 1373, 5950, 593, 6125, 585, 513, 5569, 540, 3276, 6921, 2456, 269, 2060, 4986, 811, 982, 25455, 781, 2012, 267, 2085, 267, 543, 513, 1507, 8523, 267, 938, 5869, 24389, 593, 1018, 646, 2219, 1131, 581, 1175, 1776, 6296, 2816, 269, 9741, 1705, 646, 917, 267, 25455, 5828, 856, 547, 581, 3833, 21792, 11652, 19599, 1134, 268, 951, 539, 538, 6668, 1983, 780, 7021, 1896, 2395, 267, 645, 841, 5319, 28387, 328, 770, 4553, 10881, 1472, 4884, 267, 5555, 12423, 602, 25455, 1185, 3144, 9675, 2620, 1369, 513, 7404, 4104, 1634, 585, 922, 27726, 14099, 543, 11606, 540, 7320, 269, 2991, 17874, 2199, 8128, 630, 15367, 14201, 1405, 4010, 4278, 2683, 693, 519, 19175, 540, 5887, 1005, 1932, 2484, 883, 7703, 2197, 1070, 645, 841, 5319, 28387, 328, 770, 4956, 621, 729, 942, 547, 1491, 6927, 883, 1010, 1378, 3946, 269, 1261, 28110, 909, 609, 782, 12204, 540, 1875, 6122, 11209, 3937, 910, 588, 684, 15963, 267, 27047, 6493, 267, 1256, 513, 3972, 344, 666, 3563, 540, 544, 864, 1107, 4743, 8746, 602, 646, 1223, 25370, 9150, 25455, 1510, 759, 15659, 547, 24037, 3800, 780, 3086, 1934, 2501, 519, 16168, 851, 281, 1306, 645, 841, 5319, 28387, 328, 770, 1642, 1386, 4514, 883, 519, 18137, 267, 646, 1336, 5128, 5051, 1303, 22931, 538, 2470, 269, 774, 1941, 344, 26965, 27054, 4765, 1010, 9660, 267, 19498, 905, 16556, 2390, 1864, 24271, 559, 612, 569, 267, 543, 5103, 1010, 8942, 547, 3251, 9602, 267, 1169, 26882, 540, 513, 1000, 580, 896, 20584, 8604, 28659, 4557, 19507, 269, 17652, 267, 646, 7691, 602, 16777, 1522, 723, 1044, 519, 835, 5373, 3007, 2439, 306, 19488, 267, 9624, 519, 15309, 1782, 16714, 267, 1079, 4064, 1558, 1010, 998, 519, 10053, 10664, 269, 1809, 3079, 540, 519, 2367, 5217, 22401, 646, 4397, 267, 972, 2893, 25455, 267, 3168, 19039, 569, 17512, 1881, 269, 3502, 1317, 646, 4718, 606, 25412, 4137, 4712, 547, 3142, 1864, 1394, 547, 5126, 267, 855, 2864, 267, 26164, 1018, 7902, 1354, 1864, 547, 581, 930, 4990, 540, 771, 515, 767, 539, 4683, 13442, 4503, 538, 519, 19069, 780, 4415, 513, 669, 22976, 267, 645, 841, 5319, 28387, 328, 770, 31061, 875, 646, 7444, 7153, 689, 519, 3039, 2044, 267, 4988, 2212, 547, 23179, 538, 1585, 3029, 540, 13897, 267, 3762, 267, 543, 5521, 28084, 550, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11265, 2511, 568, 875, 621, 3268, 1394, 607, 621, 4422, 909, 267, 2870, 513, 27764, 1229, 1413, 563, 1607, 2306, 621, 4190, 543, 2337, 621, 16641, 4396, 12798, 563, 763, 2326, 1031, 538, 2679, 621, 616, 14680, 543, 25342, 267, 799, 1039, 547, 922, 7347, 1145, 543, 5929, 1374, 563, 11900, 728, 267, 4190, 23598, 593, 519, 18109, 2995, 2984, 540, 519, 2749, 779, 1686, 563, 763, 7276, 3557, 8490, 779, 2511, 568, 711, 1175, 827, 3168, 1434, 855, 849, 827, 1373, 2413, 267, 1256, 15851, 563, 763, 4396, 2326, 543, 4070, 1184, 5280, 621, 2063, 513, 1279, 942, 9108, 563, 19425, 3538, 1116, 7844, 540, 519, 7276, 3557, 8490, 454, 19425, 3538, 338, 5261, 674, 269, 30340, 543, 1744, 516, 557, 267, 30340, 1299, 15053, 517, 4889, 919, 5249, 1927, 547, 1711, 519, 2143, 1544, 585, 2679, 519, 7276, 3557, 8490, 563, 5445, 5402, 2808, 1818, 621, 7381, 267, 17715, 267, 2413, 267, 543, 2922, 563, 763, 7276, 3557, 8490, 568, 7381, 267, 8757, 606, 11141, 4463, 540, 476, 272, 267, 3393, 275, 3952, 630, 4510, 274, 269, 273, 7397, 1070, 1519, 922, 19215, 563, 763, 16413, 1031, 5499, 2081, 547, 1118, 621, 1796, 865, 1164, 563, 3080, 4277, 3364, 789, 1705, 729, 1118, 519, 2679, 1900, 1394, 607, 621, 14380, 267, 899, 24383, 563, 1607, 1500, 621, 1413, 9735, 543, 5280, 621, 3251, 11931, 950, 621, 729, 2842, 344, 563, 763, 16413, 5249, 2182, 547, 1118, 2386, 1169, 2370, 1469, 729, 1175, 1318, 563, 5445, 1031, 2178, 2326, 899, 5374, 543, 6405, 547, 1118, 621, 2178, 563, 19465, 519, 7276, 3557, 8490, 729, 899, 8380, 1927, 513, 9649, 11015, 563, 5445, 1185, 547, 2327, 782, 519, 4773, 3514, 9985, 547, 1711, 713, 6909, 2497, 563, 4517, 476, 274, 267, 6110, 4600, 2909, 1386, 32049, 15627, 547, 1711, 713, 2413, 20100, 563, 5445, 6192, 476, 273, 269, 276, 19683, 12353, 543, 8737, 519, 2497, 538, 2594, 942, 267, 15980, 1269, 1428, 3232, 2336, 2005, 3576, 513, 2603, 540, 16542, 543, 11428, 267, 855, 538, 519, 1439, 267, 789, 1705, 621, 2336, 763, 7276, 3557, 8490, 2968, 513, 3090, 540, 1480, 11958, 4800, 543, 606, 5140, 1383, 540, 9735, 6189, 563, 2005, 729, 519, 32399, 2679, 538, 519, 1158, 689, 476, 4350, 272, 547, 476, 3192, 272, 563, 3383, 267, 519, 1985, 942, 596, 1413, 693, 519, 7276, 3557, 8490, 267, 3314, 519, 16413, 543, 519, 4600, 945, 1500, 621, 2009, 563, 19853, 2182, 960, 267, 10995, 2093, 267, 543, 27497, 2813, 713, 6909, 2679, 649, 2648, 563, 4131, 779, 723, 513, 1413, 693, 1018, 713, 1236, 903, 28755, 704, 814, 547, 2709, 593, 922, 1292, 19683, 563, 9818, 6113, 4469, 3233, 1107, 623, 4883, 12386, 15232, 454, 4517, 6368, 267, 519, 5207, 1448, 540, 707, 7045, 2336, 763, 533, 4883, 12386, 540, 707, 7045, 568, 593, 519, 476, 9818, 6113, 6989, 267, 865, 2130, 693, 5111, 476, 272, 267, 7742, 3952, 7381, 563, 21132, 15888, 7620, 2966, 519, 476, 9818, 6113, 6989, 607, 606, 2011, 338, 1222, 6640, 15958, 563, 3719, 1631, 621, 779, 519, 533, 4883, 12386, 540, 519, 7276, 3557, 8490, 267, 1141, 1152, 519, 12703, 666, 25500, 563, 2005, 779, 811, 540, 513, 2545, 935, 344, 609, 513, 1970, 3366, 613, 267, 543, 519, 2898, 540, 1715, 3840, 27788, 621, 689, 2630, 563, 4517, 1082, 28245, 723, 2097, 713, 2484, 585, 519, 5784, 563, 1607, 1930, 25101, 1995, 2306, 596, 1745, 899, 596, 2461, 15700, 519, 6607, 267, 609, 25713, 15564, 25378, 5784, 602, 17063, 1927, 519, 3460, 563, 294, 10270, 1524, 693, 519, 2749, 2630, 543, 2992, 593, 519, 6909, 15627, 596, 4076, 6172, 5523, 998, 519, 7276, 3557, 8490, 563, 10376, 6989, 540, 519, 7276, 3557, 8490, 814, 922, 2027, 9059, 267, 8744, 1927, 8949, 1426, 267, 12600, 2621, 267, 7499, 13300, 267, 543, 18198, 5784, 563, 9083, 526, 6989, 1107, 15190, 15066, 14358, 454, 2791, 3580, 1205, 811, 6909, 2749, 5784, 593, 519, 476, 9083, 526, 6989, 630, 14338, 275, 3952, 1916, 2691, 596, 3914, 713, 5544, 267, 596, 3580, 581, 11303, 676, 5458, 9486, 602, 1397, 596, 519, 1034, 5863, 5784, 540, 1715, 3840, 4975, 563, 2791, 3580, 1294, 519, 2749, 899, 2760, 1354, 1107, 7381, 5656, 267, 23090, 8933, 267, 543, 519, 4190, 6239, 5244, 3262, 2630, 596, 563, 2005, 779, 899, 596, 2461, 13735, 1851, 519, 12269, 2336, 3721, 3544, 5196, 519, 1768, 15869, 267, 543, 596, 3580, 1745, 519, 2842, 9900, 25738, 563, 12648, 5961, 540, 713, 18198, 2070, 267, 610, 1491, 513, 4090, 547, 27653, 621, 782, 538, 563, 21196, 610, 3781, 267, 519, 25076, 1546, 1188, 593, 519, 476, 9083, 526, 6989, 568, 1141, 9909, 2097, 3020, 563, 2791, 3580, 1745, 899, 596, 2461, 593, 1283, 540, 519, 1158, 267, 543, 519, 2749, 786, 1413, 899, 513, 9589, 4898, 1633, 563, 10436, 628, 4469, 3233, 1107, 6301, 25076, 1546, 1188, 454, 7476, 4712, 585, 513, 10265, 1673, 549, 6137, 2070, 593, 519, 476, 10436, 628, 6989, 779, 1292, 2616, 2218, 16064, 2336, 5804, 519, 630, 10755, 271, 3952, 264, 4463, 267, 596, 3580, 1205, 476, 11740, 24266, 31858, 25271, 2749, 5784, 563, 2005, 779, 513, 4605, 12656, 2739, 4090, 547, 7001, 519, 5898, 540, 1715, 3840, 4975, 2336, 11025, 526, 4469, 3233, 1107, 2657, 543, 25682, 4741, 454, 12648, 1416, 540, 3054, 593, 519, 476, 11025, 526, 6989, 267, 6131, 547, 1072, 543, 9716, 563, 307, 805, 3054, 547, 513, 21363, 838, 320, 8400, 267, 5734, 519, 15547, 585, 513, 15904, 267, 610, 2972, 12560, 8090, 538, 32668, 5624, 563, 2005, 779, 782, 827, 4743, 1434, 543, 18589, 1117, 563, 7761, 526, 4469, 3233, 1107, 17721, 5510, 1182, 543, 3213, 8862, 1251, 532, 28805, 454, 2691, 596, 3914, 519, 476, 7761, 526, 6989, 267, 621, 779, 942, 547, 1205, 1524, 547, 960, 1107, 855, 609, 513, 2070, 2336, 1607, 6989, 3091, 4357, 13646, 543, 1071, 268, 11529, 5624, 1141, 596, 666, 581, 11327, 1247, 6772, 8504, 519, 2749, 2630, 563, 22998, 538, 519, 12269, 568, 513, 2189, 1995, 2336, 4029, 560, 4469, 3233, 1107, 3203, 2065, 20309, 454, 763, 476, 4029, 560, 6989, 568, 606, 1148, 24158, 779, 27032, 563, 4415, 5140, 1148, 801, 3930, 267, 26847, 267, 543, 4241, 24218, 267, 621, 786, 27472, 1125, 596, 563, 5804, 2413, 25704, 547, 2247, 1532, 17344, 1782, 19698, 267, 596, 3580, 581, 27086, 676, 519, 5876, 602, 27788, 596, 563, 1839, 628, 4469, 3233, 1107, 21708, 1467, 6833, 15869, 454, 12648, 513, 2736, 689, 519, 2749, 18388, 593, 519, 476, 1839, 628, 6989, 779, 21708, 1467, 6833, 15869, 563, 1607, 12560, 9205, 2230, 568, 899, 513, 5728, 4677, 1164, 1657, 519, 10754, 563, 9824, 1314, 1851, 4190, 5810, 543, 3039, 2044, 1247, 11981, 519, 10875, 2749, 2675, 1901, 1107, 621, 779, 513, 4090, 540, 9350, 9624, 519, 11112, 2749, 563, 2641, 560, 4469, 3233, 1107, 1401, 5477, 15638, 454, 2026, 596, 1847, 909, 547, 519, 476, 2641, 560, 6989, 267, 596, 3580, 3605, 513, 1747, 585, 2027, 6105, 543, 1271, 2621, 563, 5331, 16475, 707, 5326, 11812, 1934, 609, 669, 545, 5624, 543, 18198, 2749, 5784, 563, 2005, 779, 899, 1373, 513, 22530, 541, 693, 707, 1360, 1378, 5428, 2336, 277, 628, 4469, 3233, 1107, 26943, 2435, 5548, 2074, 454, 9359, 707, 7045, 593, 519, 15795, 6989, 267, 1141, 596, 3580, 1265, 513, 1426, 24158, 779, 27032, 563, 5319, 2809, 8949, 6980, 689, 1114, 4025, 267, 899, 1715, 3840, 779, 4583, 3905, 5243, 543, 3276, 7970, 267, 543, 16678, 8286, 689, 782, 1472, 519, 1158, 563, 4407, 596, 3548, 267, 3314, 547, 1491, 538, 519, 9735, 2749, 5784, 998, 519, 16136, 1242, 9486, 2336, 29248, 790, 3557, 8490, 3203, 454, 11900, 728, 519, 6189, 540, 519, 7276, 3557, 8490, 267, 4190, 1148, 8591, 547, 922, 19259, 563, 763, 25211, 814, 10477, 10367, 593, 519, 18109, 1500, 676, 606, 7376, 3957, 8402, 25376, 3832, 563, 4322, 10367, 1397, 1114, 2694, 540, 1715, 3840, 4975, 779, 1686, 267, 689, 1279, 3516, 547, 2221, 563, 2026, 596, 2263, 811, 267, 596, 3580, 5469, 16560, 1286, 19133, 267, 19730, 543, 19695, 19799, 906, 267, 543, 24463, 3270, 1472, 519, 2679, 563, 4322, 3877, 1118, 519, 9703, 1413, 16681, 543, 17715, 267, 2870, 513, 17175, 5790, 563, 763, 7276, 3557, 8490, 568, 711, 1175, 513, 2834, 2679, 282, 621, 779, 899, 513, 17198, 1141, 5159, 543, 16413, 960, 1927, 547, 1711, 1945, 2189, 563, 3383, 267, 950, 596, 3643, 519, 7276, 3557, 8490, 267, 5225, 1491, 513, 4090, 547, 23507, 519, 1148, 602, 2306, 621, 1256, 811, 11141, 563, 763, 6189, 540, 519, 7276, 3557, 8490, 568, 513, 4062, 540, 1686, 543, 5876, 596, 666, 2972, 11014, 563, 29248, 790, 3557, 8490, 11629, 1116, 8571, 902, 543, 12697, 454, 763, 16413, 5402, 5423, 519, 11265, 12400, 543, 4566, 547, 3142, 519, 15999, 7276, 3557, 8490, 547, 1272, 563, 19425, 3538, 338, 5249, 2182, 547, 1711, 2143, 23039, 29251, 602, 4951, 875, 519, 2679, 1131, 581, 9112, 563, 4322, 12400, 3769, 4566, 585, 519, 2679, 779, 4463, 267, 799, 568, 513, 7415, 476, 272, 267, 3393, 275, 3952, 630, 4510, 274, 269, 273, 7397, 1070, 1519, 922, 19215, 563, 763, 16413, 1031, 15931, 4702, 2553, 547, 2327, 621, 1223, 3914, 971, 606, 11141, 4463, 563, 3080, 2629, 2460, 540, 519, 11265, 12400, 729, 519, 10014, 540, 22303, 563, 763, 2679, 3268, 1394, 607, 621, 4422, 909, 267, 2870, 513, 27764, 1229, 1413, 563, 1607, 8591, 547, 922, 5898, 543, 11689, 3278, 519, 2497, 1282, 2178, 12798, 563, 763, 16413, 849, 6976, 1390, 3007, 547, 519, 2326, 1031, 538, 4070, 563, 5445, 8359, 2178, 2326, 899, 5374, 543, 6405, 267, 4180, 519, 2679, 779, 15006, 543, 3106, 563, 763, 11265, 12400, 543, 4566, 941, 513, 11015, 602, 519, 16413, 2322, 1927, 547, 1628, 713, 6909, 2497, 563, 9336, 4062, 3514, 9985, 267, 2870, 519, 11599, 7276, 3557, 8490, 563, 7021, 519, 1296, 267, 519, 7276, 3557, 8490, 814, 22734, 1585, 22058, 725, 543, 18175, 10232, 563, 4322, 12400, 723, 1044, 2629, 538, 8497, 922, 3140, 4644, 1247, 15268, 547, 2413, 2115, 563, 763, 7276, 3557, 8490, 23327, 1715, 3840, 4975, 543, 513, 9735, 4062, 540, 6189, 563, 21132, 12400, 1869, 3673, 3729, 543, 23666, 16413, 267, 12206, 267, 543, 11655, 547, 713, 1554, 563, 3383, 267, 8164, 596, 3643, 267, 1810, 1406, 7340, 547, 5660, 519, 6189, 540, 519, 7276, 3557, 8490, 563, 763, 7276, 3557, 8490, 15339, 8865, 5530, 454, 763, 7276, 3557, 8490, 568, 606, 4277, 11265, 2013, 1353, 5713, 563, 2005, 24643, 5215, 540, 16413, 543, 8030, 12422, 267, 1818, 621, 513, 1353, 4087, 563, 4131, 779, 1413, 693, 1018, 2306, 621, 971, 513, 4241, 1641, 547, 1353, 563, 3080, 7415, 2460, 540, 519, 7276, 3557, 8490, 779, 6189, 2013, 1353, 568, 922, 2594, 31771, 4463, 563, 18184, 532, 693, 513, 31417, 476, 272, 267, 3393, 275, 3952, 630, 4510, 274, 269, 273, 7397, 1070, 1519, 922, 19215, 267, 621, 729, 519, 32399, 2679, 538, 519, 1158, 693, 922, 12032, 538, 476, 4350, 272, 563, 763, 16413, 543, 8030, 1282, 519, 4070, 540, 519, 7276, 3557, 8490, 4951, 1390, 5876, 543, 10995, 2553, 563, 5445, 3710, 621, 1282, 519, 2352, 2053, 540, 519, 4279, 12870, 563, 8601, 9157, 2804, 2053, 267, 789, 8737, 519, 1788, 538, 476, 25148, 2395, 563, 1607, 2982, 875, 2182, 11529, 543, 18756, 519, 4600, 543, 4070, 6887, 941, 563, 1607, 20502, 519, 6043, 543, 8990, 540, 519, 1480, 6891, 267, 1256, 1282, 2352, 2053, 563, 763, 2679, 779, 4264, 6189, 267, 4352, 711, 513, 4922, 1031, 2165, 1282, 922, 942, 267, 666, 581, 2938, 538, 922, 1374, 563, 763, 16413, 540, 519, 7276, 3557, 8490, 941, 4464, 6253, 9722, 543, 25374, 827, 519, 1604, 563, 5445, 1031, 513, 2603, 540, 2067, 1769, 543, 1648, 18026, 2326, 538, 741, 1374, 563, 763, 2679, 849, 1185, 2769, 6173, 2209, 602, 5280, 1004, 1847, 3533, 543, 7561, 563, 1607, 10995, 4183, 7152, 519, 16413, 685, 1445, 593, 2870, 513, 6198, 543, 3593, 7888, 2230, 563, 763, 7276, 3557, 8490, 7291, 1590, 581, 1726, 25979, 538, 2221, 779, 3621, 1158, 563, 5472, 891, 11265, 28986, 1118, 713, 2679, 513, 2013, 1353, 585, 8436, 563, 25332, 969, 2218, 1546, 1188, 540, 634, 7276, 3557, 8490, 454, 763, 7276, 3557, 8490, 779, 25076, 1546, 1188, 267, 3091, 606, 6909, 2070, 540, 1715, 3840, 4975, 563, 2005, 779, 593, 519, 476, 10436, 628, 6989, 865, 596, 666, 1294, 4583, 4025, 899, 6239 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1556, 281, 476, 4375, 275, 1700, 4375, 279, 267, 476, 1220, 278, 563, 4366, 269, 27526, 2692, 700, 269, 15214, 750, 8926, 543, 9854, 269, 808, 10331, 4284, 2723, 630, 2735, 276, 264, 476, 10441, 281, 476, 9262, 272, 1700, 279, 4281, 267, 476, 1220, 279, 563, 5392, 269, 3331, 500, 345, 326, 6686, 333, 523, 918, 267, 918, 6324, 752, 590, 267, 631, 2795, 534, 681, 267, 2098, 7967, 595, 267, 918, 1251, 332, 1794, 590, 267, 962, 1794, 15403, 322, 15403, 2098, 267, 661, 3464, 7238, 345, 717, 267, 1744, 597, 516, 742, 338, 590, 267, 645, 4883, 564, 631, 267, 667, 341, 528, 752, 808, 269, 6356, 540, 3905, 2825, 2175, 593, 2168, 2534, 3270, 543, 2837, 3210, 540, 11176, 5716, 269, 20280, 808, 2405, 2233, 11846, 476, 736, 281, 476, 9610, 1700, 15704, 267, 476, 1001, 271, 563, 2004, 269, 17455, 6504, 918, 267, 8738, 572, 681, 267, 7108, 2006, 681, 269, 10020, 540, 2168, 8516, 538, 3002, 1035, 743, 574, 520, 5314, 267, 9178, 543, 5368, 9134, 269, 8210, 12455, 15299, 476, 736, 281, 476, 274, 4200, 1700, 2412, 279, 267, 476, 3192, 278, 563, 7906, 269, 17131, 1723, 324, 667, 267, 645, 2454, 541, 570, 267, 5062, 5141, 639, 4486, 645, 269, 1849, 5847, 543, 3635, 269, 4083, 269, 21478, 540, 7802, 1282, 3635, 270, 1740, 538, 2825, 26037, 269, 11846, 2405, 476, 1240, 281, 476, 11463, 1700, 10482, 267, 476, 1960, 275, 563, 7367, 269, 17131, 1723, 324, 667, 267, 22767, 2917, 700, 267, 8055, 661, 269, 1849, 5847, 543, 3635, 269, 594, 281, 4437, 2684, 12695, 540, 3002, 4483, 1063, 519, 1367, 267, 7802, 543, 1604, 269, 11846, 2405, 476, 1240, 281, 476, 4343, 1700, 7918, 267, 476, 1960, 275, 563, 7871, 269, 623, 709, 331, 343, 16275, 267, 667, 1276, 1301, 324, 15406, 267, 918, 10154, 13382, 269, 6356, 540, 1216, 2837, 593, 9023, 4398, 1282, 5409, 750, 8926, 538, 3425, 269, 808, 10331, 4284, 2723, 630, 2735, 276, 264, 476, 11463, 281, 476, 14530, 278, 1700, 15171, 274, 267, 476, 1220, 274, 563, 7918, 269, 623, 787, 528, 808, 299, 267, 30621, 14408, 267, 4210, 27255, 570, 269, 6356, 540, 914, 12578, 21455, 593, 15203, 838, 11781, 2773, 269, 808, 2271, 17502, 11846, 25326, 337, 476, 280, 281, 476, 1321, 267, 476, 1001, 273, 563, 4649, 269, 28234, 718, 328, 717, 293, 267, 1546, 24938, 7236, 808, 298, 267, 595, 14505, 29382, 267, 22413, 1069, 2714, 22680, 267, 28226, 19845, 267, 8575, 3306, 18328, 269, 6356, 540, 1560, 9023, 454, 517, 7766, 20659, 543, 26103, 3635, 2773, 281, 589, 9836, 2689, 269, 808, 23848, 9473, 1763, 476, 2190, 281, 476, 4097, 279, 279, 1700, 4097, 280, 277, 267, 476, 1001, 271, 563, 6321, 269, 1234, 11035, 570, 267, 12275, 21884, 681, 269, 12186, 540, 942, 540, 1554, 593, 1582, 19550, 12644, 540, 12675, 3635, 269, 808, 11846, 2405, 4284, 24524, 476, 3374, 281, 476, 4200, 1700, 9083, 267, 476, 1960, 276, 563, 6872, 269, 6341, 340, 1564, 8863, 269, 32591, 18848, 543, 2951, 9854, 281, 589, 3102, 2359, 1544, 585, 7328, 4915, 13500, 543, 1164, 26024, 1489, 6887, 269, 7885, 808, 22505, 2405, 476, 2420, 281, 476, 28803, 1700, 24129, 267, 476, 1001, 273, 563, 6812, 269, 27517, 6390, 30400, 267, 30781, 1446, 345, 681, 305, 267, 17455, 6504, 22995, 269, 12186, 540, 3207, 454, 24119, 337, 10474, 593, 22243, 3467, 326, 1637, 1282, 3635, 269, 2549, 808, 4284, 2723, 476, 26727, 281, 681, 7761, 1700, 305, 6507, 267, 476, 2735, 275, 563, 6795, 269, 27517, 6390, 30400, 267, 15182, 700, 305, 267, 3933, 1555, 590, 297, 267, 12312, 3534, 15829, 269, 21091, 12214, 6127, 540, 3635, 2773, 267, 9542, 267, 543, 32277, 2194, 566, 547, 3002, 2566, 269, 1290, 1440, 4284, 2723, 476, 6642, 274, 1700, 4572, 279, 267, 476, 1001, 272, 563, 2568, 269, 27517, 6390, 30400, 267, 8479, 589, 297, 267, 25845, 935, 328, 681, 267, 16334, 5633, 590, 267, 17455, 6504, 22995, 269, 14562, 3467, 326, 17419, 543, 1973, 6114, 1282, 3635, 693, 28439, 3834, 334, 5139, 1674, 2157, 269, 808, 10331, 4284, 2723, 630, 2735, 276, 264, 476, 6795, 281, 476, 16928, 275, 1700, 9610, 272, 267, 476, 2735, 276, 563, 8618, 269, 590, 20672, 601, 681, 267, 4223, 2946, 808, 267, 6601, 541, 2917, 15406, 267, 23846, 717, 267, 715, 657, 10440, 918, 267, 5487, 2720, 523, 623, 289, 269, 10979, 1793, 25744, 28453, 4679, 4295, 2837, 4390, 543, 4881, 942, 538, 519, 3002, 269, 2405, 2233, 11846, 18130, 476, 5655, 281, 476, 278, 1704, 1700, 278, 1839, 267, 476, 1001, 271, 563, 7830, 269, 590, 20672, 601, 681, 267, 4223, 2946, 808, 267, 23846, 717, 267, 715, 657, 10440, 918, 267, 5487, 2720, 523, 623, 289, 269, 2776, 2275, 944, 532, 609, 4672, 1793, 25744, 28453, 5012, 547, 2147, 2196, 2053, 547, 25874, 538, 519, 3002, 607, 4411, 1216, 21599, 269, 808, 11846, 2233, 476, 1789, 281, 476, 14028, 1700, 13679, 267, 476, 1001, 273, 563, 8287, 269, 8055, 19954, 267, 2871, 4068, 332, 2088, 738, 595, 267, 661, 325, 1258, 645, 269, 11846, 267, 3207, 454, 267, 543, 8562, 6598, 18819, 2107, 322, 6598, 18819, 543, 8476, 18942, 2773, 538, 519, 2817, 11176, 21597, 269, 12619, 454, 736, 281, 476, 3607, 273, 1700, 18458, 267, 476, 1960, 278, 563, 5038, 269, 853, 792, 985, 681, 299, 267, 595, 14505, 29382, 267, 700, 2100, 345, 681, 300, 267, 22413, 1069, 2714, 22680, 267, 717, 534, 1470, 9049, 267, 5463, 615, 715, 305, 267, 2480, 745, 1375, 338, 15096, 267, 4639, 589, 292, 267, 28226, 19845, 267, 8575, 3306, 18328, 269, 21478, 540, 20697, 454, 560, 9850, 593, 533, 5217, 1282, 13009, 4881, 538, 519, 3002, 269, 808, 23848, 9473, 1763, 476, 2537, 281, 476, 26562, 274, 1700, 22724, 272, 267, 476, 1220, 280, 563, 4792, 269, 2672, 837, 1633, 595, 267, 24261, 808, 294, 267, 19607, 650, 631, 269, 589, 3002, 1035, 743, 11582, 7014, 585, 2319, 5026, 269, 5696, 808, 11846, 2405, 476, 5655, 281, 476, 27628, 1700, 18357, 267, 476, 1220, 279, 563, 5780, 269, 32202, 7702, 623, 269, 4197, 7956, 3796, 269, 1715, 3840, 267, 12924, 281, 5839, 17524, 534, 14539, 3213, 1421, 476, 1960, 273, 563, 6858, 269, 570, 27462, 681, 267, 3143, 1389, 570, 291, 269, 634, 12214, 7939, 540, 533, 5217, 4640, 1282, 3635, 281, 589, 2565, 2689, 269, 5696, 808, 11846, 2405, 476, 6246, 281, 552, 272, 267, 476, 1220, 280, 563, 6924, 269, 654, 1157, 342, 790, 808, 267, 21674, 13698, 267, 5682, 808, 300, 267, 27672, 517, 24211, 267, 700, 558, 1314, 681, 294, 267, 16629, 541, 340, 595, 267, 595, 1887, 4149, 19431, 631, 267, 667, 1601, 645, 269, 4284, 8344, 543, 4313, 2360, 540, 5010, 968, 342, 10107, 892, 7802, 896, 513, 16886, 16513, 22514, 269, 2271, 808, 1473, 8210, 12455, 476, 4391, 281, 476, 5038, 274, 1700, 4792, 272, 267, 476, 1220, 278, 563, 7597, 269, 12070, 32024, 22558, 267, 595, 1258, 514, 808, 289, 267, 670, 532, 26146, 269, 4284, 8344, 3210, 547, 1216, 21599, 281, 589, 1505, 585, 7328, 6051, 286, 11846, 2405, 476, 3607, 281, 476, 278, 5325, 1700, 278, 4792, 267, 476, 1220, 277, 563, 3583, 269, 12070, 330, 8657, 20336, 267, 25020, 808, 300, 267, 29430, 966, 299, 267, 4563, 518, 12676, 267, 681, 904, 517, 12463, 269, 634, 1198, 540, 3579, 1216, 28453, 593, 16063, 10788, 2837, 269, 2405, 2233, 11846, 18130, 476, 2412, 281, 476, 276, 2537, 1700, 276, 2764, 267, 476, 1220, 279, 563, 10170, 269, 4024, 529, 700, 269, 22410, 540, 840, 572, 1783, 20697, 454, 1598, 1538, 344, 540, 715, 7563, 288, 10406, 594, 9093, 781, 13558, 9845, 1496, 24490, 781, 5098, 4940, 853, 528, 3464, 267, 11632, 281, 2160, 540, 21086, 282, 476, 1001, 273, 563, 7761, 269, 654, 22857, 808, 292, 267, 595, 14505, 29382, 267, 19161, 518, 15444, 267, 667, 749, 529, 654, 302, 267, 26427, 808, 290, 267, 5062, 5141, 2426, 808, 300, 269, 21478, 540, 513, 840, 7721, 9052, 9848, 1356, 565, 20697, 454, 321, 1197, 720, 593, 2773, 543, 28772, 11043, 1599, 1282, 7823, 1532, 833, 14797, 538, 519, 3002, 269, 808, 19158, 331, 21541, 476, 4375, 281, 476, 15433, 1700, 11260, 267, 476, 1220, 275, 563, 10463, 269, 654, 22857, 808, 292, 267, 717, 534, 1470, 9049, 267, 595, 675, 2023, 918, 297, 269, 31292, 20847, 1282, 3002, 2566, 281, 20480, 585, 3635, 13310, 269, 18130, 22505, 2233, 4860, 476, 2412, 281, 476, 6434, 1700, 11463, 267, 476, 1001, 273, 563, 10619, 269, 12598, 21161, 645, 267, 27293, 623, 294, 267, 12877, 928, 24766, 267, 681, 3430, 2001, 645, 269, 10829, 4328, 3350, 7569, 540, 589, 14566, 11176, 1210, 15870, 9477, 269, 808, 2233, 2405, 22505, 476, 1724, 281, 476, 276, 4029, 1700, 276, 3607, 267, 476, 1001, 271, 563, 4037, 269, 19159, 918, 303, 267, 670, 1638, 808, 307, 267, 595, 2763, 529, 2401, 11404, 269, 20556, 1063, 10332, 1145, 267, 2773, 267, 543, 1560, 2837, 538, 3425, 269, 2549, 808, 4284, 2723, 3204, 592, 6715, 337, 3281, 4284, 2723, 476, 27543, 281, 681, 15389, 271, 1700, 305, 15389, 278, 267, 476, 1220, 273, 563, 10602, 269, 5729, 6265, 17335, 267, 595, 14505, 29382, 267, 5062, 5141, 2426, 808, 300, 267, 26427, 808, 290, 267, 1261, 1446, 344, 808, 290, 267, 717, 1601, 623, 297, 267, 12370, 654, 305, 267, 26194, 16998, 269, 10610, 9023, 454, 24992, 1079, 536, 8083, 540, 3635, 538, 519, 3002, 10597, 7766, 2773, 269, 808, 23848, 9473, 1763, 476, 736, 281, 476, 4343, 274, 1700, 4343, 280, 267, 476, 1220, 277, 563, 6507, 269, 8479, 589, 297, 267, 27517, 6390, 30400, 267, 23821, 710, 700, 267, 27974, 732, 12076, 29172, 267, 17455, 6504, 22995, 269, 28024, 13762, 4887, 10307, 1282, 3635, 568, 6766, 676, 3002, 1035, 743, 11582, 269, 808, 10331, 4284, 2723, 630, 2735, 276, 264, 476, 6795, 281, 476, 4572, 280, 1700, 4350, 276, 267, 476, 2735, 276, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1764, 269, 634, 1788, 786, 1683, 519, 2875, 609, 1983, 538, 15513, 543, 3327, 7452, 563, 268, 6258, 547, 20272, 1434, 1806, 540, 3185, 584, 10774, 10179, 639, 12383, 689, 799, 547, 25162, 707, 1378, 960, 269, 22716, 529, 593, 14292, 1764, 543, 1445, 593, 11315, 543, 5347, 13980, 540, 519, 5642, 543, 875, 789, 9305, 547, 4887, 27589, 563, 268, 10925, 883, 2259, 519, 3741, 540, 1769, 593, 1106, 602, 729, 6026, 593, 519, 5748, 1576, 563, 268, 6657, 15513, 2553, 267, 543, 2936, 16517, 1145, 543, 1434, 6881, 563, 268, 6258, 519, 9238, 540, 3327, 7452, 12383, 585, 5642, 2090, 267, 543, 1020, 1455, 6863, 11341, 547, 3327, 7452, 543, 540, 519, 2326, 1031, 563, 268, 6258, 26715, 16166, 267, 21056, 543, 4887, 13613, 4609, 602, 666, 581, 1336, 593, 519, 3185, 584, 10774, 10179, 639, 563, 268, 12861, 513, 1395, 5255, 4435, 15513, 5373, 540, 606, 18751, 2070, 540, 513, 3185, 584, 10774, 10179, 639, 563, 268, 27759, 15513, 2090, 12383, 540, 9938, 2711, 543, 30218, 7475, 540, 519, 3185, 584, 10774, 10179, 639, 267, 547, 5265, 1174, 741, 1106, 563, 268, 21277, 1424, 513, 3126, 540, 15513, 2090, 540, 519, 5642, 267, 11341, 519, 2627, 547, 4478, 7633, 543, 2571, 5160, 3889, 547, 2963, 707, 1620, 540, 519, 2497, 540, 519, 3185, 584, 10774, 10179, 639, 543, 922, 4205, 563, 268, 21277, 1424, 3368, 2450, 3327, 7452, 2090, 540, 519, 18751, 543, 17911, 5784, 540, 519, 5642, 547, 3356, 5373, 1983, 883, 824, 23447, 563, 268, 1323, 20133, 558, 1227, 4977, 14745, 540, 513, 7157, 7259, 730, 18751, 2070, 540, 513, 3185, 584, 10774, 10179, 639, 538, 15513, 267, 799, 2982, 14292, 1764, 563, 268, 589, 4015, 540, 15513, 12400, 11341, 547, 519, 3185, 584, 10774, 10179, 639, 547, 4478, 7633, 543, 2571, 5160, 3889, 267, 20209, 9760, 1620, 540, 922, 2497, 563, 268, 12539, 7452, 3368, 2450, 12383, 540, 519, 17911, 543, 18751, 5784, 540, 519, 3185, 584, 10774, 10179, 639, 563, 268, 634, 2702, 547, 1582, 2708, 1378, 12383, 563, 268, 631, 770, 1229, 1395, 5255, 4435, 15513, 14745, 543, 3327, 7452, 14745, 563, 268, 29740, 2390, 1983, 538, 6024, 3159, 799, 596, 19927, 593, 519, 5748, 1576, 563, 1607, 1788, 568, 6825, 593, 519, 2185, 6688, 7396, 2630, 269, 18745, 616, 13752, 538, 1142, 7121, 1759, 593, 519, 2702, 540, 519, 7376, 267, 31402, 630, 2641, 268, 1839, 1070, 8746, 630, 1626, 268, 736, 1070, 19579, 630, 1556, 268, 1428, 1070, 2596, 630, 277, 268, 1015, 264, 543, 3908, 630, 272, 268, 276, 1040, 3962, 7121, 814, 513, 6871, 2597, 532, 4724, 519, 3803, 6060, 856, 540, 476, 1839, 269, 589, 3446, 568, 2016, 540, 11984, 952, 519, 3803, 6060, 568, 2362, 982, 476, 2641, 267, 513, 5491, 952, 1063, 476, 1626, 268, 736, 267, 513, 1164, 1780, 1063, 476, 1556, 268, 1428, 267, 513, 1780, 952, 476, 277, 268, 1015, 543, 606, 993, 1742, 952, 2630, 476, 276, 563, 26877, 755, 5928, 17320, 1429, 923, 1764, 543, 9355, 269, 26451, 5578, 538, 6074, 5420, 630, 29806, 1395, 5255, 4435, 15513, 5373, 1152, 543, 6825, 856, 540, 476, 1015, 2798, 994, 1892, 19019, 531, 1764, 540, 5373, 454, 1892, 9866, 3569, 6111, 540, 2497, 543, 2627, 1469, 454, 1892, 31853, 543, 16517, 1145, 540, 21235, 14745, 454, 1892, 20306, 677, 2016, 547, 519, 4170, 540, 519, 1788, 454, 1892, 4197, 543, 1852, 540, 1148, 2645, 267, 2326, 543, 2553, 267, 2206, 569, 543, 538, 4999, 454, 1892, 4197, 540, 2609, 267, 971, 607, 7990, 267, 1899, 267, 9403, 267, 3666, 454, 2304, 520, 13929, 6111, 543, 3408, 454, 263, 29806, 1395, 5255, 4435, 15513, 5373, 1152, 543, 6825, 856, 540, 476, 276, 2798, 994, 1892, 26277, 13929, 6111, 454, 1892, 5020, 2450, 267, 2953, 21169, 543, 10066, 2877, 585, 713, 14745, 454, 1892, 4197, 540, 519, 5642, 538, 9962, 2796, 607, 7152, 676, 2090, 543, 25780, 454, 303, 19948, 543, 4482, 4369, 454, 263, 1103, 11079, 782, 2592, 270, 17250, 9248, 3092, 269, 543, 6825, 856, 540, 476, 276, 2798, 994, 1892, 19809, 16517, 1145, 454, 1892, 20233, 719, 543, 2978, 2454, 1374, 543, 4674, 454, 1892, 2422, 540, 1148, 6863, 950, 7234, 26620, 454, 30161, 528, 2218, 2298, 540, 519, 4015, 540, 3185, 584, 10774, 10179, 639, 12383, 563, 263, 1103, 11079, 782, 2592, 270, 17250, 9248, 3092, 269, 543, 6825, 856, 540, 476, 276, 2798, 994, 1892, 17325, 1049, 5578, 454, 1892, 20520, 540, 3803, 4159, 454, 1892, 18763, 1382, 543, 3312, 2035, 454, 1892, 13760, 5933, 540, 1148, 6194, 454, 1892, 17607, 543, 7071, 540, 519, 2796, 543, 3483, 540, 14745, 454, 268, 2422, 1434, 2298, 7047, 16466, 1957, 1107, 4363, 476, 7742, 326, 916, 2597, 454, 268, 2422, 8325, 2757, 22796, 267, 2348, 513, 1434, 2039, 2139, 689, 476, 273, 295, 267, 670, 267, 645, 267, 476, 273, 289, 267, 476, 275, 289, 454, 268, 10925, 1399, 12285, 454, 268, 11910, 760, 619, 616, 3730, 585, 2143, 7893, 267, 855, 1141, 2009, 1451, 547, 2721, 2048, 2421, 3750, 685, 543, 1688, 7893, 609, 707, 14853, 270, 5155, 4290, 454, 268, 634, 3185, 584, 15513, 1788, 568, 2966, 547, 1246, 593, 543, 5360, 2939, 519, 5373, 1983, 6594, 543, 2919, 1282, 707, 7690, 19510, 563, 268, 4518, 593, 707, 1788, 11486, 821, 607, 513, 2048, 3369, 1961, 685, 543, 1628, 909, 707, 27864, 607, 513, 2048, 3369, 1961, 685, 1932, 267, 799, 786, 1711, 513, 1454, 811, 19618, 9096, 547, 707, 6192, 5373, 563, 268, 5530, 1472, 519, 1641, 267, 1620, 922, 1747, 1369, 519, 1560, 267, 922, 6935, 547, 15231, 7633, 267, 519, 6091, 267, 519, 28587, 543, 29893, 602, 8936, 547, 621, 563, 268, 7756, 5573, 2127, 676, 4480, 543, 512, 4689, 27864, 1775, 4318, 269, 16174, 689, 5347, 1148, 7781, 7252, 547, 10058, 2048, 709, 326, 615, 685, 2127, 1141, 6091, 8936, 585, 1383, 543, 4063, 4287, 540, 1140, 2286, 11103, 543, 1973, 8043, 270, 1721, 29546, 563, 268, 5457, 2048, 10915, 29193, 1769, 17483, 268, 6875, 707, 942, 547, 7747, 563, 268, 31786, 540, 707, 10652, 6665, 568, 1360, 1271, 267, 2253, 543, 1832, 547, 519, 1482, 8654, 1448, 2429, 707, 26620, 543, 14769, 2436, 2479, 2009, 552, 3052, 269, 1396, 689, 1283, 2451, 269, 1411, 949, 3442, 547, 1769, 689, 519, 1283, 1318, 952, 596, 616, 2451, 26370, 269, 1733, 31295, 596, 3442, 1107, 581, 5812, 563, 268, 1403, 596, 616, 13461, 593, 21765, 267, 1287, 2721, 693, 519, 1482, 942, 270, 2897, 1142, 1554, 547, 2057, 6640, 543, 10543, 20224, 4929, 32475, 538, 707, 11247, 563, 268, 1403, 596, 616, 13461, 593, 7301, 8654, 1287, 1747, 1769, 538, 513, 5812, 2990, 585, 1142, 1788, 563, 268, 2422, 21765, 15620, 1141, 2009, 563, 268, 1403, 596, 616, 1210, 513, 17689, 267, 1747, 707, 17689, 693, 513, 10257, 3845, 689, 707, 5642, 267, 1317, 952, 621, 568, 1932, 2673, 596, 786, 1265, 621, 786, 1711, 11032, 947, 3320, 10792, 20224, 269, 1284, 4363, 513, 10257, 3845, 538, 1931, 547, 2285, 596, 513, 1434, 2949, 1769, 270, 3333, 20760, 1198, 2066, 519, 2898, 5642, 563, 268, 12344, 6718, 707, 1378, 24208, 1148, 17689, 547, 3142, 609, 596, 610, 547, 946, 693, 1753, 269, 1280, 1383, 519, 2048, 21196, 2775, 3828, 626, 5800, 762, 17689, 685, 5654, 4998, 610, 2147, 563, 268, 30290, 4604, 1957, 267, 4411, 2046, 1216, 3712, 712, 1957, 630, 7945, 607, 476, 3445, 1107, 476, 6344, 331, 321, 264, 610, 5347, 2627, 14745, 4604, 610, 1957, 454, 268, 12539, 7452, 454, 268, 12539, 16853, 454, 268, 10925, 1399, 12285, 454, 268, 700, 2086, 3282, 16853, 454, 289, 2590, 22796, 267, 1434, 2298, 7047, 16466, 1957, 267, 543, 3327, 7452, 7727, 269, 4495, 538, 1362, 267, 12398, 606, 16856, 267, 1875, 1790, 987, 1670, 3185, 584, 610, 1208, 518, 639, 689, 519, 5642, 4015, 693, 519, 23583, 7467, 543, 1118, 3355, 25780, 267, 1382, 519, 26715, 21056, 267, 5169, 543, 13613, 4609, 540, 6091, 593, 519, 5642, 543, 3489, 3355, 5955, 689, 707, 28643, 269, 589, 2110, 3992, 593, 3327, 7452, 12400, 267, 3185, 584, 10774, 10179, 639, 14169, 543, 513, 2689, 540, 1434, 1806, 540, 1395, 5255, 4435, 15513, 12400, 547, 25162, 707, 960, 786, 581, 3177, 269, 589, 3992, 593, 15513, 5373, 666, 581, 3177, 952, 1053, 991, 269, 769, 1063, 29468, 267, 2347, 519, 6780, 454, 2791, 1459, 707, 8737, 6780, 15513, 2090, 799, 1131, 723, 5280, 596, 2263, 519, 1106, 543, 2796, 540, 519, 5642, 543, 513, 960, 2987, 3491, 28698, 15513, 5373, 540, 922, 18751, 2070, 269, 634, 3327, 7452, 12383, 799, 786, 5965, 596, 585, 2104, 3785, 267, 666, 849, 581, 4843, 607, 960, 2987, 3491, 28698, 547, 2327, 707, 12400, 616, 20133, 558, 1227, 2953, 269, 28643, 543, 9263, 2689, 540, 519, 960, 2987, 3491, 28698, 786, 1683, 24233, 543, 2565, 5955, 547, 3132, 707, 3803, 4528, 563, 268, 1403, 1022, 540, 519, 6780, 4607, 5955, 689, 19217, 832, 693, 29519, 267, 6220, 5955, 543, 1039, 960, 547, 14769, 4712, 585, 1985, 4879, 269, 901, 960, 786, 711, 581, 6825, 10446, 693, 4879, 267, 855, 786, 1106, 851, 540, 519, 2048, 10849, 3569, 543, 30405, 2298, 685, 543, 2048, 534, 520, 13929, 6111, 543, 3408, 685, 6810, 540, 519, 16287, 7355, 563, 268, 5685, 880, 17440, 8908, 540, 519, 18751, 2070, 540, 519, 3185, 584, 10774, 10179, 639, 1759, 593, 5955, 693, 29519, 269, 10558, 1586, 693, 1739, 29519, 547, 3803, 5955, 563, 6524, 26446, 547, 4879, 596, 1590, 723, 621, 13761, 676, 519, 28643, 2901, 538, 29519, 610, 593, 513, 11280, 23468, 1554, 3842, 4757, 610, 3381, 10554, 1289, 269, 769, 4879, 707, 960, 786, 581, 6825, 2687, 547, 519, 16287, 7355, 540, 602, 1788, 269, 1411, 786, 4309, 513, 2143, 5955, 1106, 1310, 4879, 563, 2791, 1590, 3142, 912, 268, 634, 3803, 1395, 5255, 4435, 15513, 5373, 540, 519, 18751, 2070, 540, 513, 3185, 584, 10774, 10179, 639, 267, 15841, 543, 31002, 563, 268, 14581, 26620, 799, 1331, 15513, 543, 3327, 7452, 12400, 543, 2090, 563, 268, 3417, 513, 2312, 8523, 1369, 707, 14769, 540, 519, 1483, 5642, 19494, 4882, 596, 616, 2324, 689, 563, 268, 5269, 2386, 782, 11247, 568, 1134, 4843, 267, 16517, 543, 31002, 269, 0, 763, 17460, 1817, 333, 568, 513, 7823, 538, 519, 32595, 269, 898, 568, 4092, 593, 519, 8473, 1063, 16848, 543, 7977, 269, 634, 17460, 1817, 333, 814, 1044, 2144, 5317, 2094, 621, 729, 4646, 269, 634, 17460, 1817, 333, 568, 1500, 540, 24348, 4224, 267, 799, 568, 3362, 2144, 10757, 676, 1216, 543, 2842, 269, 634, 17460, 1817, 333, 568, 849, 6534, 547, 513, 2603, 540, 29056, 267, 799, 2306, 621, 7925, 547, 11761, 563, 292, 12509, 568, 519, 1184, 540, 29056, 543, 9849, 2476, 540, 4224, 543, 11934, 998, 519, 2962, 540, 2842, 267, 1216, 267, 4672, 267, 543, 2242, 538, 2837, 269, 3683, 942, 267, 519, 17460, 1817, 333, 814, 1044, 7444, 2144, 10757, 676, 891, 4229, 267, 799, 814, 4957, 922, 5920, 269, 634, 1034, 6654, 1689, 568, 519, 2530, 540, 922, 8445, 267, 799, 729, 3361, 676, 513, 1804, 32004, 540, 519, 7823, 8840, 1055, 543, 9991, 883, 519, 14860, 2630, 563, 1692, 1705, 11761, 1106, 519, 17460, 1817, 333, 888, 763, 17460, 1817, 333, 568, 513, 7823, 538, 519, 32595, 602, 729, 4646, 6634, 540, 1296, 3516, 950, 1896, 2244, 13999, 1793, 25428, 883, 835, 1776, 267, 16550, 519, 2666, 16057, 269, 2983, 5505, 723, 5462, 602, 519, 2182, 575, 928, 1170, 4224, 593, 1283, 540, 519, 7823, 3357, 689, 519, 3979, 18626, 6676, 607, 621, 1159, 14414, 883, 519, 700, 4768, 22057, 267, 610, 3864, 6676, 563, 763, 17460, 1817, 333, 568, 513, 7823, 8445, 538, 519, 32595, 602, 568, 1634, 585, 922, 1614, 2010, 540, 30961, 11761, 281, 4963, 13196, 267, 28712, 267, 543, 616, 5052, 269, 19449, 13196, 616, 4646, 676, 22260, 26002, 856, 1804, 267, 9764, 1244, 11306, 538, 519, 4224, 269, 9710, 985, 616, 4646, 950, 22260, 2144, 1712, 519, 4224, 538, 513, 18158, 6438, 3337, 269, 3657, 5052, 616, 4646, 950, 22260, 1286, 557, 856, 8325, 267, 7522, 31393, 1063, 1079, 4963, 13196, 563, 1432, 568, 1713, 827, 519, 17460, 1817, 333, 454, 763, 17460, 1817, 333, 568, 835, 540, 519, 1034, 10058, 10239, 538, 519, 1158, 543, 519, 1655, 8153, 3090, 540, 16848, 269, 634, 10828, 540, 519, 17460, 1817, 333, 729, 4535, 538, 476, 5908, 276, 950, 519, 8445, 729, 22482, 585 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3698, 1292, 10031, 825, 4831, 815, 476, 271, 454, 825, 4845, 815, 3403, 3488, 8923, 4283, 513, 4845, 281, 30386, 825, 585, 669, 538, 4845, 912, 1038, 952, 669, 2652, 1412, 339, 262, 610, 669, 2652, 1412, 307, 12466, 2018, 4831, 6834, 476, 272, 454, 825, 1820, 6600, 31415, 1877, 616, 2715, 322, 3300, 348, 570, 32075, 338, 538, 707, 4845, 262, 9239, 10852, 10797, 322, 640, 815, 1412, 17809, 2064, 7055, 322, 3300, 815, 476, 271, 454, 6112, 4831, 2999, 7003, 6262, 640, 2187, 825, 1820, 6262, 640, 314, 322, 3300, 7481, 825, 4831, 6834, 476, 272, 454, 0, 258, 4322, 616, 519, 476, 273, 4632, 1141, 519, 3593, 11378, 519, 1344, 454, 656, 815, 630, 842, 9272, 2891, 1692, 1082, 32110, 286, 834, 21875, 5674, 324, 815, 630, 842, 9272, 2891, 1692, 1082, 4064, 286, 834, 4297, 2020, 258, 763, 952, 1533, 5443, 31198, 1934, 1999, 1231, 1018, 2186, 540, 9813, 621, 568, 563, 604, 1884, 285, 284, 274, 543, 3750, 27045, 275, 912, 476, 1820, 2891, 16908, 1106, 9571, 281, 10748, 9445, 24938, 1014, 15419, 604, 1884, 27045, 277, 543, 3750, 285, 284, 273, 912, 476, 1820, 2891, 16908, 1106, 9571, 281, 7665, 24938, 1014, 15419, 604, 1884, 27045, 273, 543, 3750, 27045, 274, 912, 476, 1820, 2891, 16908, 1106, 9571, 281, 27201, 24938, 1014, 15419, 604, 1884, 2525, 271, 543, 3750, 2525, 273, 912, 476, 1820, 2891, 16908, 1106, 9571, 281, 20917, 291, 17868, 24938, 1014, 15419, 12828, 912, 476, 1820, 2891, 5591, 1272, 1106, 9571, 8442, 0, 5814, 4351, 454, 6112, 6936, 912, 825, 10523, 1125, 815, 3403, 2891, 1692, 1804, 1131, 596, 899, 707, 5884, 547, 581, 281, 19515, 825, 546, 545, 518, 3326, 815, 4351, 20120, 9792, 263, 271, 28504, 625, 1125, 267, 272, 994, 825, 1820, 834, 7312, 18202, 513, 281, 834, 1341, 1193, 5560, 545, 518, 3326, 994, 0, 5035, 21070, 24998, 2187, 825, 8173, 825, 11426, 21070, 1362, 692, 825, 16393, 711, 1265, 513, 21070, 10189, 609, 562, 525, 10354, 10342, 454, 825, 3143, 23319, 1946, 713, 3085, 1405, 2291, 2943, 2483, 825, 29185, 825, 1219, 6449, 8181, 9191, 1345, 267, 2608, 16911, 267, 2878, 330, 16911, 2187, 1038, 8173, 1038, 26571, 616, 519, 1367, 11282, 2418, 26759, 1535, 267, 586, 267, 1990, 454, 1038, 2052, 723, 513, 6152, 540, 1022, 10155, 454, 1038, 8173, 1038, 1948, 300, 697, 1058, 1039, 513, 7392, 13286, 952, 972, 616, 1875, 1297, 26571, 454, 1038, 952, 568, 27349, 263, 16911, 314, 271, 3910, 630, 14654, 921, 267, 1592, 15892, 2018, 1582, 269, 6570, 815, 1592, 263, 16911, 314, 271, 7481, 1038, 3116, 281, 3097, 2018, 1582, 269, 6570, 815, 1592, 263, 16911, 2020, 825, 1219, 1820, 309, 10725, 4311, 2187, 1038, 8173, 1038, 7179, 519, 6152, 454, 1038, 8173, 1038, 1820, 1582, 269, 6570, 692, 7531, 825, 1948, 16966, 832, 19072, 583, 2209, 16482, 825, 1219, 1205, 11592, 4311, 267, 4994, 2187, 1038, 8173, 1038, 717, 1115, 519, 1871, 538, 519, 2990, 24042, 540, 2016, 4994, 454, 1038, 2667, 6979, 519, 3593, 786, 946, 476, 272, 585, 519, 1101, 1071, 528, 454, 1038, 8173, 1038, 2132, 1582, 269, 6570, 27709, 268, 272, 2639, 8931, 825, 1219, 1305, 11592, 4311, 267, 4994, 267, 1871, 2187, 1038, 8173, 1038, 30498, 606, 4994, 538, 2990, 547, 519, 2016, 1871, 454, 1038, 2667, 6979, 519, 3593, 786, 946, 476, 272, 585, 519, 1101, 1071, 528, 454, 1038, 8173, 1038, 1582, 269, 6570, 27709, 910, 476, 272, 316, 815, 1871, 19638, 7531, 825, 1948, 10976, 2207, 305, 2839, 2464, 258, 692, 825, 1219, 6449, 18091, 9191, 1345, 267, 824, 2187, 1038, 8173, 1038, 936, 20183, 11224, 11346, 454, 1038, 8173, 1038, 2132, 1582, 269, 6570, 2652, 824, 269, 6570, 692, 825, 1219, 6449, 11274, 9191, 1345, 2187, 1038, 8173, 1038, 936, 20183, 6207, 1871, 1599, 454, 1038, 8173, 1038, 2132, 21070, 6025, 340, 921, 8443, 11274, 263, 1723, 528, 264, 585, 1071, 528, 538, 1582, 269, 6570, 28413, 8931, 825, 1219, 6449, 5417, 9191, 1345, 267, 824, 2187, 1038, 8173, 1038, 28352, 519, 1840, 11346, 454, 1038, 8173, 1038, 952, 7003, 4311, 269, 6570, 264, 11203, 7003, 263, 1278, 269, 6570, 2187, 2018, 6318, 28759, 9497, 763, 10321, 596, 616, 3843, 547, 1039, 616, 540, 1114, 17435, 5014, 5602, 13872, 1038, 3116, 912, 2018, 2132, 21070, 8443, 1345, 269, 6570, 5157, 316, 1341, 824, 269, 6570, 5157, 316, 585, 1775, 538, 2039, 12759, 4311, 269, 6570, 4297, 20285, 825, 1219, 6449, 11357, 9191, 1345, 267, 824, 2187, 11434, 952, 7003, 4311, 269, 6570, 264, 11203, 7003, 263, 1278, 269, 6570, 2187, 19930, 6318, 28759, 9497, 763, 10321, 596, 616, 3843, 547, 1039, 616, 540, 1114, 17435, 5014, 5602, 11434, 3116, 912, 19930, 2132, 21070, 8443, 1345, 269, 6570, 5157, 316, 910, 824, 269, 6570, 5157, 316, 585, 1775, 538, 2039, 12759, 4311, 269, 6570, 4297, 20285, 825, 1219, 6449, 332, 592, 9191, 1345, 267, 824, 2187, 1038, 8173, 1038, 2789, 513, 6152, 609, 513, 22185, 454, 1038, 8173, 1038, 952, 568, 27349, 263, 1278, 267, 630, 842, 267, 1279, 267, 10581, 15892, 2018, 6318, 28759, 9497, 300, 755, 9062, 676, 703, 267, 1279, 267, 610, 10581, 269, 476, 2422, 12297, 610, 3444, 2409, 585, 6152, 268, 19066, 8691, 8442, 3097, 13872, 1038, 3116, 912, 2018, 2132, 21070, 8443, 1723, 528, 2608, 824, 585, 1071, 528, 538, 1582, 269, 6570, 20285, 825, 1219, 6449, 15965, 9191, 1345, 267, 824, 2187, 1038, 8173, 1038, 7941, 6152, 676, 513, 22185, 454, 1038, 8173, 1038, 952, 711, 568, 27349, 263, 1278, 267, 630, 842, 267, 1279, 267, 10581, 15892, 2018, 6318, 28759, 9497, 2791, 1590, 7941, 676, 606, 703, 267, 1279, 267, 610, 10581, 8442, 3097, 13872, 1038, 3116, 912, 2018, 2132, 21070, 8443, 15615, 263, 1723, 528, 264, 1315, 824, 585, 1071, 528, 538, 1582, 269, 6570, 20285, 825, 1219, 6449, 7116, 9191, 1345, 267, 824, 2187, 1038, 1780, 476, 7531, 825, 1219, 6449, 6352, 9191, 1345, 2187, 1038, 8173, 1038, 936, 337, 1938, 7003, 1599, 547, 2132, 10155, 540, 519, 6152, 454, 1038, 8173, 1038, 2132, 7003, 4311, 269, 6570, 2020, 5035, 21070, 273, 291, 263, 309, 10725, 2187, 672, 3097, 825, 1219, 6449, 8181, 9191, 1345, 267, 1535, 267, 586, 2187, 1038, 8173, 1038, 2422, 8111, 781, 4020, 528, 543, 1039, 1535, 267, 586, 4632, 585, 2653, 1569, 454, 1038, 8173, 1038, 21070, 14857, 8181, 9191, 1345, 267, 1535, 267, 586, 994, 13872, 1038, 1948, 4103, 609, 9226, 9059, 454, 1038, 1582, 11859, 815, 1535, 454, 1038, 1582, 13885, 815, 586, 454, 825, 1948, 16966, 832, 19072, 583, 2209, 258, 692, 825, 1219, 6449, 1326, 3430, 25572, 9191, 1345, 267, 2012, 2187, 1038, 8173, 1038, 2368, 9226, 9059, 547, 7485, 519, 1535, 543, 586, 2418, 689, 2990, 454, 1038, 8173, 1038, 952, 2012, 2652, 1412, 343, 12466, 2018, 2132, 1843, 14857, 1326, 3430, 25572, 9191, 1345, 267, 1412, 6570, 10807, 314, 271, 2639, 1038, 8640, 2012, 2652, 1412, 344, 12466, 2018, 2132, 1843, 14857, 1326, 3430, 25572, 9191, 1345, 267, 1412, 6570, 10807, 314, 272, 2639, 1038, 3116, 912, 2018, 2132, 1843, 14857, 1326, 3430, 25572, 9191, 1345, 267, 2012, 2020, 825, 1219, 6449, 3553, 3430, 337, 9191, 1345, 267, 2012, 267, 1871, 2187, 1038, 8173, 1038, 2859, 9226, 9059, 547, 723, 14487, 4259, 547, 2990, 454, 1038, 8173, 1038, 952, 2012, 2652, 1412, 343, 12466, 2018, 2025, 815, 1582, 269, 6570, 454, 2018, 2025, 314, 271, 316, 815, 1871, 454, 2018, 1843, 14857, 3553, 3430, 337, 9191, 1345, 267, 1412, 343, 3299, 7183, 994, 2018, 1843, 14857, 3553, 3430, 337, 9191, 1345, 267, 1412, 6570, 3299, 2025, 994, 1038, 8640, 2012, 2652, 1412, 344, 12466, 2018, 2025, 815, 1582, 269, 6570, 454, 2018, 2025, 314, 272, 316, 815, 1871, 454, 2018, 1843, 14857, 3553, 3430, 337, 9191, 1345, 267, 1412, 344, 3299, 7183, 994, 2018, 1843, 14857, 3553, 3430, 337, 9191, 1345, 267, 1412, 6570, 3299, 2025, 994, 1038, 3116, 912, 2018, 1843, 14857, 3553, 3430, 337, 9191, 1345, 267, 2012, 267, 1871, 2020, 5035, 21070, 274, 291, 263, 309, 10725, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 1535, 267, 586, 267, 1990, 2187, 1038, 21070, 14857, 8181, 9191, 1345, 267, 1535, 267, 586, 267, 1990, 994, 13872, 1038, 1948, 4103, 609, 9226, 9059, 2409, 454, 1038, 1582, 11859, 815, 1535, 454, 1038, 1582, 13885, 815, 586, 454, 1038, 1582, 269, 345, 815, 1990, 454, 825, 1948, 16966, 832, 543, 23688, 2209, 258, 692, 825, 1219, 6449, 1326, 3430, 25572, 9191, 1345, 267, 2012, 2187, 1038, 8173, 1038, 2368, 9226, 9059, 547, 7485, 519, 1535, 267, 586, 267, 543, 1990, 2418, 689, 2990, 454, 1038, 8173, 1038, 952, 2012, 2652, 1412, 343, 12466, 2018, 2132, 1843, 14857, 1326, 3430, 25572, 9191, 1345, 267, 1412, 6570, 10807, 314, 271, 2639, 1038, 8640, 2012, 2652, 1412, 344, 12466, 2018, 2132, 1843, 14857, 1326, 3430, 25572, 9191, 1345, 267, 1412, 6570, 10807, 314, 272, 2639, 1038, 8640, 2012, 2652, 1412, 345, 12466, 2018, 2132, 1843, 14857, 1326, 3430, 25572, 9191, 1345, 267, 1412, 6570, 10807, 314, 273, 2639, 1038, 3116, 912, 2018, 2132, 1843, 14857, 1326, 3430, 25572, 9191, 1345, 267, 2012, 2020, 825, 1219, 6449, 3553, 3430, 337, 9191, 1345, 267, 2012, 267, 1871, 2187, 1038, 8173, 1038, 2859, 5124, 9059, 547, 1305, 1535, 267, 586, 267, 1990, 689, 594, 292, 21070, 274, 291, 11859, 547, 2990, 454, 1038, 8173, 1038, 952, 2012, 2652, 1412, 343, 12466, 2018, 2025, 815, 1582, 269, 6570, 454, 2018, 2025, 314, 271, 316, 815, 1871, 454, 2018, 1843, 14857, 3553, 3430, 337, 9191, 1345, 267, 1412, 343, 3299, 7183, 994, 2018, 1843, 14857, 3553, 3430, 337, 9191, 1345, 267, 1412, 6570, 3299, 2025, 994, 1038, 8640, 2012, 2652, 1412, 344, 12466, 2018, 2025, 815, 1582, 269, 6570, 454, 2018, 2025, 314, 272, 316, 815, 1871, 454, 2018, 1843, 14857, 3553, 3430, 337, 9191, 1345, 267, 1412, 344, 3299, 7183, 994, 2018, 1843, 14857, 3553, 3430, 337, 9191, 1345, 267, 1412, 6570, 3299, 2025, 994, 1038, 8640, 2012, 2652, 1412, 345, 12466, 2018, 2025, 815, 1582, 269, 6570, 454, 2018, 2025, 314, 273, 316, 815, 1871, 454, 2018, 1843, 14857, 3553, 3430, 337, 9191, 1345, 267, 1412, 345, 3299, 7183, 994, 2018, 1843, 14857, 3553, 3430, 337, 9191, 1345, 267, 1412, 6570, 3299, 2025, 994, 1038, 3116, 912, 2018, 1843, 14857, 3553, 3430, 337, 9191, 1345, 267, 2012, 267, 1871, 9239, 0, 258, 15782, 269, 5681, 17848, 547, 23516, 10606, 1477, 258, 11742, 29203, 2433, 744, 3799, 264, 21506, 258, 22129, 29203, 2433, 744, 22607, 264, 4463, 540, 519, 3529, 1477, 258, 12441, 713, 3009, 6707, 2196, 593, 2274, 564, 13892, 2433, 8786, 1477, 258, 10177, 2091, 689, 3597, 547, 835, 835, 1439, 540, 519, 3529, 26759, 6978, 6843, 543, 1832, 12719, 519, 1699, 8999, 693, 1142, 6843, 1547, 835, 649, 3914, 513, 6978, 6843, 649, 2132, 1699, 2040, 543, 1376, 911, 1407, 532, 519, 1318, 6843, 269, 7053, 5173, 2040, 593, 1312, 2451, 543, 1318, 2427, 543, 2132, 23228, 258, 3438, 894, 1477, 258, 5035, 8827, 6769, 258, 825, 1219, 2040, 301, 13246, 4311, 267, 3597, 281, 30741, 264, 9847, 703, 6769, 258, 1038, 2698, 815, 476, 271, 1477, 258, 1038, 10518, 815, 1496, 15947, 258, 1038, 28364, 815, 476, 271, 1477, 258, 1038, 952, 711, 3597, 6769, 258, 2018, 2132, 476, 271, 1477, 258, 1038, 1247, 3597, 610, 10518, 6769, 258, 2018, 1247, 3597, 6769, 258, 3546, 28364, 815, 28364, 2608, 476, 1015, 1341, 3597, 22183, 1477, 258, 3546, 10518, 6910, 9230, 10174, 267, 2017, 337, 17903, 258, 3546, 3597, 815, 3597, 16000, 1477, 258, 2018, 6843, 815, 10518, 21014, 14052, 258, 2018, 28364, 815, 6843, 314, 272, 15947, 258, 2018, 3597, 815, 6843, 314, 271, 15947, 258, 2018, 952, 711, 3597, 16000, 543, 711, 3597, 16192, 6769, 258, 3546, 2698, 6834, 28364, 1477, 258, 2018, 3597, 815, 3597, 16192, 1477, 258, 1038, 2132, 2698, 1477, 258, 516, 15479, 633, 4848, 1477, 5035, 8827, 6769, 24541, 825, 1219, 25961, 4311, 267, 3597, 267, 1225, 3464, 636, 8029, 1038, 952, 711, 3597, 6769, 2018, 2132, 476, 271, 1477, 1038, 952, 711, 3597, 16000, 543, 711, 3597, 16192, 6769, 2018, 2132, 1225, 3464, 636, 2608, 476, 1015, 1341, 3597, 22183, 1477, 1038, 2451, 815, 1582, 269, 3559, 704, 20172, 16000, 267, 2017, 3464, 636, 2608, 476, 1015, 1341, 3597, 22183, 3418, 1038, 1318, 815, 1582, 269, 3559, 704, 20172, 16192, 267, 2017, 3464, 636, 2608, 476, 1015, 1341, 3597, 22183, 3418 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 27916, 1681, 21784, 2989, 2961, 16622, 648, 543, 3493, 548, 1540, 772, 978, 3634, 7377, 2827, 538, 13198, 24122, 6441, 340, 10005, 2817, 5244, 454, 1001, 280, 910, 476, 1708, 273, 454, 299, 542, 23202, 515, 571, 682, 334, 454, 10267, 29609, 3600, 514, 3415, 343, 795, 889, 9850, 454, 28893, 8187, 13928, 10370, 8619, 517, 3182, 639, 454, 3528, 519, 1439, 540, 1788, 267, 5095, 540, 23193, 267, 2274, 16985, 267, 4258, 29609, 267, 3979, 8187, 13928, 267, 717, 4275, 11738, 267, 14858, 3630, 267, 543, 824, 796, 326, 12885, 538, 519, 594, 295, 313, 786, 581, 2799, 269, 7313, 2286, 540, 19246, 538, 519, 7379, 313, 786, 581, 4389, 676, 476, 2004, 10065, 589, 2698, 540, 476, 7761, 2146, 2818, 786, 581, 6964, 998, 519, 1788, 630, 553, 7991, 10794, 2871, 1841, 267, 6288, 5826, 5234, 267, 3092, 13776, 610, 581, 8362, 7722, 607, 1870, 4891, 269, 1656, 676, 519, 1439, 540, 1788, 267, 519, 1788, 2319, 786, 5965, 513, 1867, 593, 519, 3268, 585, 9591, 513, 2147, 2203, 538, 606, 11105, 2146, 563, 1607, 1788, 568, 8045, 676, 23202, 515, 571, 563, 1607, 1788, 568, 851, 540, 519, 594, 30002, 16440, 3776, 15661, 3979, 13812, 11036, 267, 799, 568, 1071, 30845, 676, 519, 3864, 5742, 269, 0, 306, 2207, 22494, 5508, 700, 4953, 307, 8991, 454, 3918, 309, 269, 654, 21135, 296, 4456, 645, 21822, 563, 300, 2562, 8780, 2207, 5508, 5990, 11553, 2464, 289, 312, 9898, 296, 3198, 12164, 294, 3918, 294, 9569, 454, 25807, 8025, 267, 772, 13048, 2207, 11404, 2793, 6395, 454, 21135, 19851, 305, 28714, 23166, 589, 30684, 6730, 12813, 23177, 454, 11266, 19860, 3633, 11123, 26146, 308, 21203, 6730, 5442, 301, 2464, 454, 15674, 5990, 30426, 2207, 4586, 763, 1739, 9212, 616, 11643, 547, 1857, 14791, 267, 30109, 609, 513, 2070, 547, 1217, 543, 4217, 1346, 945, 616, 964, 597, 748, 540, 32164, 7992, 547, 4516, 269, 3509, 6589, 723, 540, 3735, 7902, 10503, 713, 1271, 543, 8375, 12733, 282, 855, 519, 2951, 2401, 814, 3622, 4330, 519, 8905, 689, 20563, 547, 27292, 282, 689, 27292, 547, 3751, 8725, 282, 689, 3751, 8725, 547, 3840, 282, 689, 3840, 547, 15281, 698, 4673, 282, 689, 15281, 698, 4673, 547, 2549, 615, 560, 610, 24354, 267, 1510, 2479, 2348, 2938, 519, 1394, 17260, 269, 3767, 621, 568, 10423, 602, 267, 547, 519, 32164, 7949, 267, 891, 1590, 581, 540, 519, 5207, 2956, 267, 1317, 835, 610, 824, 540, 873, 786, 267, 538, 782, 5506, 267, 581, 538, 2104, 1010, 1747, 540, 15335, 269, 634, 13639, 5590, 1479, 906, 267, 3226, 4330, 538, 891, 5022, 267, 723, 1185, 1454, 540, 519, 3007, 543, 1416, 540, 6554, 267, 543, 1631, 2270, 513, 1804, 543, 2810, 2551, 269, 898, 568, 12479, 267, 519, 2272, 1934, 2016, 540, 891, 17260, 267, 786, 581, 540, 946, 547, 519, 3703, 1857, 267, 607, 621, 568, 519, 1267, 540, 3232, 8343, 543, 1995, 269, 4438, 513, 15335, 540, 3670, 1296, 267, 538, 799, 942, 519, 5856, 10272, 711, 1152, 519, 2898, 540, 891, 17260, 267, 855, 3592, 1169, 824, 851, 540, 519, 11662, 563, 763, 5856, 814, 1100, 6999, 2901, 547, 5000, 610, 25339, 900, 12568, 267, 1373, 18617, 602, 1169, 1268, 11129, 547, 9794, 543, 3442, 585, 5128, 269, 11773, 267, 538, 1169, 851, 540, 519, 1158, 267, 5673, 1454, 2390, 929, 28619, 543, 1434, 2359, 269, 8409, 945, 32164, 3433, 609, 18174, 880, 543, 11389, 32208, 6788, 616, 3622, 25922, 267, 1247, 1346, 945, 1118, 8797, 12417, 267, 11654, 741, 1843, 609, 829, 13367, 532, 2872, 267, 3622, 8011, 563, 6546, 32164, 7847, 949, 581, 4628, 3222, 540, 519, 7965, 789, 723, 547, 7237, 267, 606, 2272, 540, 519, 22116, 547, 27292, 267, 543, 540, 519, 3460, 547, 3131, 628, 267, 568, 849, 9788, 1354, 873, 269, 3509, 2503, 267, 602, 950, 789, 12446, 693, 20563, 519, 7411, 568, 936, 267, 855, 789, 949, 1964, 21407, 267, 602, 8259, 789, 616, 5645, 909, 519, 2197, 693, 519, 13258, 540, 6554, 267, 741, 3460, 547, 741, 2244, 267, 538, 519, 16592, 19435, 267, 786, 1942, 873, 607, 1454, 607, 741, 22116, 269, 2334, 782, 945, 616, 3981, 532, 267, 689, 1434, 24500, 267, 547, 4734, 741, 5065, 2197, 267, 949, 581, 9859, 676, 519, 7326, 799, 635, 996, 689, 1657, 267, 543, 581, 13087, 547, 3142, 1072, 267, 13884, 267, 543, 2523, 4984, 267, 2059, 609, 873, 267, 568, 519, 25442, 6999, 540, 519, 27483, 295, 3036, 563, 4041, 22721, 8991, 20978, 25783, 8025, 267, 772, 13048, 2207, 11404, 2793, 6395, 563, 7069, 16692, 2752, 590, 7644, 2676, 2691, 594, 3576, 4734, 540, 596, 267, 513, 2110, 942, 1354, 594, 2451, 1250, 5065, 2197, 267, 596, 16761, 803, 547, 2328, 596, 606, 2272, 540, 1250, 22116, 547, 4516, 267, 540, 519, 1007, 17260, 547, 799, 594, 729, 2469, 267, 543, 2523, 540, 519, 1533, 540, 4984, 538, 519, 12733, 267, 1927, 609, 1022, 3364, 3116, 602, 1522, 2408, 4277, 269, 9282, 713, 729, 16607, 621, 729, 711, 16618, 267, 543, 594, 1631, 8399, 547, 23491, 707, 12981, 563, 2791, 917, 602, 267, 538, 12343, 540, 513, 21936, 9619, 547, 519, 21133, 3465, 2421, 6670, 540, 25470, 267, 676, 513, 1297, 540, 3465, 2421, 614, 2103, 12306, 693, 3131, 628, 267, 538, 5580, 4516, 267, 594, 729, 267, 2038, 538, 519, 5614, 540, 476, 8687, 278, 267, 3921, 7134, 607, 741, 14012, 269, 3733, 1920, 2348, 8452, 693, 2274, 603, 267, 543, 782, 1373, 4712, 585, 938, 22576, 267, 593, 14349, 519, 476, 276, 628, 540, 4989, 267, 649, 8399, 539, 547, 519, 13272, 609, 513, 1297, 540, 938, 2828, 269, 589, 9543, 2006, 10362, 547, 519, 2688, 5264, 267, 1498, 513, 24928, 547, 721, 267, 1185, 519, 11587, 547, 2709, 519, 2759, 614, 547, 2322, 721, 593, 4604, 519, 6928, 267, 799, 2482, 693, 19671, 827, 1079, 5195, 689, 519, 13272, 269, 2701, 729, 1572, 634, 681, 1054, 22044, 3420, 639, 267, 543, 26017, 676, 18279, 23846, 563, 7069, 2601, 585, 22892, 689, 2274, 603, 3079, 540, 5682, 1442, 729, 713, 281, 594, 1185, 1044, 840, 2286, 538, 25470, 543, 2274, 603, 585, 930, 3275, 1354, 594, 24389, 267, 676, 799, 594, 3893, 31235, 609, 519, 8227, 540, 634, 681, 1054, 22044, 3420, 639, 267, 4171, 5067, 729, 519, 18279, 282, 543, 267, 24584, 547, 581, 811, 6899, 267, 609, 1864, 982, 609, 606, 3003, 24928, 267, 594, 729, 13251, 547, 13743, 689, 713, 2823, 563, 5978, 4606, 693, 713, 4090, 949, 581, 811, 3362, 22885, 982, 594, 666, 4766, 873, 269, 2274, 3058, 938, 5065, 2197, 267, 5310, 585, 2479, 1107, 2348, 513, 3875, 1920, 540, 1762, 1453, 1107, 543, 2469, 547, 513, 851, 540, 519, 1158, 538, 799, 649, 1185, 711, 513, 2582, 29872, 766, 267, 941, 782, 7229, 547, 3132, 3978, 18759, 269, 11427, 13852, 543, 519, 1453, 4362, 930, 7553, 267, 855, 267, 2390, 519, 2898, 267, 789, 6462, 2933, 896, 713, 4693, 540, 741, 6830, 3363, 1732, 982, 594, 4397, 269, 11109, 3144, 606, 15754, 622, 4734, 540, 938, 2828, 593, 519, 13272, 267, 649, 8399, 539, 609, 513, 1906, 945, 10483, 721, 547, 519, 6928, 269, 769, 3368, 606, 5662, 649, 941, 593, 4604, 269, 3371, 649, 1336, 519, 4860, 269, 6004, 269, 13177, 543, 1010, 1920, 267, 945, 941, 23312, 609, 721, 547, 4516, 563, 5472, 593, 4604, 729, 31657, 543, 11861, 548, 267, 3478, 1224, 585, 22892, 269, 634, 15915, 1762, 543, 2025, 267, 2179, 532, 547, 476, 10755, 267, 941, 782, 593, 4604, 269, 2368, 7902, 18512, 543, 28292, 1107, 930, 15826, 543, 3978, 1107, 1247, 513, 1906, 267, 676, 519, 17229, 799, 789, 8774, 267, 4951, 602, 789, 649, 2461, 711, 6028, 741, 2197, 543, 741, 2828, 1510, 513, 6560, 269, 2311, 2947, 538, 519, 10543, 519, 18279, 3357, 593, 4604, 267, 543, 5795, 9753, 547, 1205, 4712, 585, 23312, 269, 6969, 3670, 649, 1185, 26693, 19671, 543, 941, 896, 13743, 609, 513, 4023, 2842, 269, 1809, 538, 3368, 606, 5662, 621, 3357, 5180, 547, 519, 7532, 267, 543, 6926, 342, 2864, 23906, 615, 282, 865, 602, 827, 5722, 649, 941, 7142, 547, 2097, 547, 19671, 267, 711, 2484, 689, 519, 1747, 649, 1185, 1175, 2451, 563, 10666, 3368, 606, 5662, 1354, 649, 30774, 267, 513, 28034, 693, 7916, 3357, 593, 4604, 609, 513, 15549, 267, 547, 25370, 9150, 267, 543, 4163, 11849, 648, 267, 513, 812, 945, 1185, 16618, 547, 11166, 1010, 22440, 1354, 581, 3357, 2476, 269, 1809, 267, 1310, 10478, 3368, 606, 5662, 2630, 267, 609, 513, 1769, 539, 23156, 267, 646, 729, 7142, 547, 2132, 25922, 269, 2991, 646, 729, 8854, 267, 519, 812, 646, 1185, 1044, 5275, 17875, 1194, 856, 540, 519, 5755, 3620, 1961, 2630, 519, 2539, 16064, 267, 547, 519, 1100, 1507, 22035, 7321, 540, 1010, 8284, 15915, 282, 1082, 540, 7247, 7249, 7806, 4327, 1864, 593, 1010, 7522, 9101, 689, 519, 3946, 540, 5126, 563, 2171, 1631, 8399, 539, 547, 4983, 519, 22581, 799, 519, 6928, 6488, 539, 269, 1452, 941, 711, 540, 519, 1101, 1931, 269, 2701, 729, 19034, 585, 519, 16025, 4123, 267, 543, 1185, 1100, 19970, 4849, 513, 1507, 835, 593, 519, 10116, 16064, 267, 1572, 676, 9378, 523, 513, 5180, 5264, 282, 855, 607, 972, 729, 513, 1434, 4308, 540, 4055, 1063, 1232, 802, 267, 543, 607, 649, 941, 711, 32036, 4765, 609, 15915, 267, 649, 4397, 267, 693, 713, 4005, 540, 519, 1032, 267, 547, 1118, 513, 7109, 762, 6521, 269, 6004, 269, 13177, 543, 594, 1185, 7722, 513, 851, 693, 519, 29523, 267, 538, 799, 941, 519, 1079, 9486, 799, 2356, 1769, 519, 19970, 269, 1280, 713, 851, 649, 6976, 15662, 479, 6344, 269, 634, 18279, 1185, 7722, 547, 7941, 621, 689, 519, 1964, 540, 519, 6928, 676, 513, 10151, 15652, 282, 713, 2705, 646, 2760, 5340, 563, 4002, 1142, 2427, 540, 519, 6928, 941, 24132, 1079, 512, 4536, 610, 2984, 540, 5127, 1532, 597, 2195, 282, 519, 15915, 3246, 741, 1378, 28945, 269, 13966, 519, 1930, 2230, 538, 519, 1647, 267, 941, 5116, 1079, 9343, 540, 1804, 1750, 7370, 267, 799, 941, 930, 2053, 1031, 607, 7515, 267, 543, 693, 824, 2053, 607, 16295, 269, 1879, 10543, 14059, 267, 513, 1434, 4308, 540, 6846, 543, 10539, 3576, 1747, 1354, 782, 519, 15915, 941, 11231, 538, 741, 24570, 282, 543, 519, 18279, 729, 8078, 539, 547, 954, 2821, 1010, 6392, 267, 543, 547, 3313, 799, 5127, 2479, 835, 729, 547, 723, 269, 901, 729, 606, 11460, 799, 11129, 547, 723, 1044, 1500, 19692, 267, 543, 519, 1616, 540, 621, 8317, 539, 1454, 11991, 8373, 267, 1312, 547, 519, 18279, 543, 15915, 269, 1284, 1631, 3459, 547, 1745, 1018, 621, 729, 547, 581, 693, 4262, 609, 865, 1454, 2754, 269, 634, 24986, 540, 519, 1453, 267, 519, 2220, 8960, 540, 519, 25501, 267, 543, 519, 1085, 13783, 540, 519, 2021, 945, 1185, 711, 3893, 519, 15135, 789, 4941, 267, 3812, 513, 13447, 538, 799, 621, 729, 2352, 547, 3605, 1022, 10103, 269, 4706, 10990, 762, 1198, 729, 15398, 676, 519, 14334, 540, 519, 3781, 267, 543, 519, 12902, 540, 519, 6928, 282, 799, 267, 693, 713, 942, 267, 3459, 547, 581, 989, 18469, 676, 513, 4262, 10169, 11315, 269, 594, 3592, 26195, 1221, 519, 8788, 540, 1082, 513, 4057, 855, 533, 1190, 26181, 4526, 267, 945, 267, 693, 602, 4090, 267, 693, 1010, 12560, 11642, 728, 267, 543, 11303, 676, 1010, 1920, 267, 729, 26902, 6235, 519, 2696, 540, 1010, 18971, 1107, 513, 17979, 799, 649, 1223, 711, 1287, 2972, 563, 9202, 6640, 267, 799, 729, 590, 30117, 267, 594, 3893, 909, 693, 5722, 267, 543, 1336, 602, 649, 941, 1869, 693, 19671, 269, 634, 2842, 729, 1574, 614, 569, 267, 543, 25738, 513, 5386, 30089, 267, 865, 602, 2338, 3459, 547, 581, 4299, 609, 15798, 32169, 269, 594, 1185, 8815, 609, 1312, 519, 23071, 543, 519, 15915, 267, 602, 649, 1058, 723, 10847, 6640, 543, 543, 10543, 1169, 1554, 267, 543, 840, 2286, 593, 590, 30117, 269, 901, 6640, 649, 1558, 693, 5216, 522, 685, 22018, 585, 10847, 267, 585, 519, 1101, 942, 267, 519, 11861, 548, 543, 10539, 2348, 15286, 721, 519, 10543, 1354, 269, 589, 2603, 540, 519, 15915, 543, 25501, 13984, 267, 543, 1969, 539, 609, 519, 6574, 16885, 1214, 267, 609, 519, 9868, 540, 1079, 1762, 9543, 5443, 945, 941, 15915, 267, 543, 1079, 610, 1614, 540, 519, 25501 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2765, 3189, 327, 8663, 3867, 273, 12453, 273, 332, 4153, 3847, 7268, 2765, 3189, 14783, 3867, 273, 24828, 14783, 315, 24838, 3867, 273, 3686, 10954, 2765, 346, 272, 7346, 24838, 4153, 2765, 3189, 14783, 7346, 14783, 315, 24838, 32757, 2765, 346, 272, 2410, 275, 315, 24838, 3867, 273, 3686, 10954, 2765, 346, 272, 7346, 24838, 3867, 273, 14990, 2765, 3189, 14783, 3867, 273, 24828, 14783, 315, 12978, 3867, 273, 14990, 2431, 11924, 320, 315, 24838, 1422, 1422, 1422, 1422, 1422, 630, 4391, 22491, 21008, 532, 713, 609, 476, 1015, 649, 1294, 602, 1631, 649, 723, 606, 3063, 2165, 20270, 10559, 2765, 346, 272, 2410, 275, 315, 24838, 3867, 273, 3686, 23201, 1744, 1678, 541, 3085, 1406, 2731, 2491, 538, 1469, 1018, 519, 1966, 568, 267, 4849, 547, 1533, 602, 950, 14291, 689, 513, 8106, 547, 513, 7061, 554, 15071, 1014, 267, 2474, 540, 1931, 12276, 327, 8663, 4151, 610, 2362, 949, 581, 1459, 538, 519, 7061, 4528, 602, 616, 15534, 538, 519, 8106, 4528, 269, 3465, 636, 2406, 646, 1797, 2474, 540, 1931, 12276, 327, 8663, 4151, 602, 1810, 1406, 4125, 16755, 267, 2094, 519, 3003, 11610, 17466, 851, 540, 519, 554, 15071, 1014, 568, 16611, 676, 513, 3815, 540, 12276, 327, 8663, 3867, 273, 3686, 10608, 769, 1022, 2013, 267, 649, 3580, 723, 547, 4734, 621, 693, 602, 780, 258, 4039, 566, 1063, 2962, 543, 1648, 692, 27066, 281, 1744, 1678, 541, 267, 681, 269, 630, 1960, 275, 1070, 14362, 540, 17747, 23317, 267, 1773, 523, 636, 4964, 269, 8791, 476, 273, 269, 279, 282, 20113, 476, 273, 269, 279, 269, 277, 1107, 476, 273, 269, 279, 269, 278, 780, 2080, 649, 3580, 4983, 606, 4277, 6935, 1063, 519, 2962, 20270, 306, 4151, 543, 519, 2698, 1648, 540, 513, 1062, 267, 607, 2016, 676, 519, 16803, 1014, 20270, 295, 23201, 14597, 513, 2582, 9325, 3001, 538, 835, 10155, 5205, 513, 8106, 2619, 2016, 676, 20270, 343, 3709, 743, 4153, 3847, 6025, 9368, 264, 20954, 543, 7575, 689, 606, 3355, 2990, 693, 942, 20270, 339, 3709, 328, 22288, 540, 20270, 343, 3709, 743, 4153, 3847, 6025, 3709, 328, 4153, 2431, 6661, 343, 3709, 328, 22288, 547, 513, 3803, 2990, 693, 942, 20270, 339, 3709, 325, 22288, 540, 20270, 343, 3709, 743, 4153, 3847, 6025, 3709, 325, 4153, 2431, 6661, 343, 3709, 325, 3686, 10608, 634, 2962, 20270, 306, 3709, 743, 22288, 540, 713, 8106, 2619, 568, 2016, 676, 519, 7533, 540, 519, 20698, 337, 836, 1014, 692, 7445, 6234, 590, 3709, 743, 18098, 842, 3709, 339, 3709, 328, 3686, 3867, 339, 3709, 325, 3686, 299, 13375, 3287, 12101, 25346, 12757, 4153, 2431, 264, 19049, 1422, 1422, 1422, 1422, 1422, 630, 272, 22491, 1432, 666, 649, 2161, 827, 519, 2557, 540, 1689, 540, 519, 2962, 609, 2463, 547, 519, 3803, 942, 20270, 339, 3709, 325, 22288, 286, 2334, 568, 267, 649, 1616, 547, 5173, 12276, 14783, 590, 3709, 743, 348, 270, 315, 14783, 512, 3709, 325, 3686, 8961, 1141, 782, 824, 6724, 20270, 339, 3709, 328, 9574, 343, 3709, 328, 22288, 663, 20270, 343, 3709, 325, 22288, 616, 4371, 3586, 269, 634, 3510, 666, 581, 11609, 607, 3254, 1384, 7712, 519, 1152, 3364, 602, 568, 4657, 568, 20270, 339, 3709, 325, 3686, 8961, 519, 9325, 6238, 693, 519, 1482, 3355, 942, 630, 6518, 649, 4076, 3144, 547, 581, 20270, 339, 3709, 328, 13157, 271, 4151, 538, 519, 6516, 264, 543, 7575, 547, 519, 1482, 4087, 20270, 343, 3709, 325, 3686, 8961, 855, 693, 513, 1114, 942, 630, 514, 519, 6516, 267, 2663, 942, 1040, 901, 1797, 602, 519, 9325, 1590, 1246, 513, 1114, 2619, 267, 7654, 936, 922, 3003, 18330, 269, 901, 2619, 267, 799, 649, 3580, 1289, 20270, 343, 13375, 6025, 9368, 264, 20954, 568, 1644, 547, 519, 3312, 2619, 20270, 343, 3709, 743, 4153, 3847, 6025, 9368, 264, 4151, 676, 14866, 584, 6883, 519, 3312, 2619, 676, 606, 2179, 12276, 9508, 13375, 6025, 9368, 264, 4151, 1384, 7445, 6234, 1535, 13375, 6025, 9368, 6661, 343, 3709, 743, 4153, 3847, 6025, 9368, 264, 10954, 9508, 13375, 6025, 9368, 264, 1422, 1422, 1422, 1422, 1422, 630, 273, 22491, 1103, 519, 6516, 267, 519, 3312, 2619, 20270, 343, 3709, 743, 22288, 568, 3254, 538, 2699, 543, 519, 14866, 32328, 2619, 20270, 343, 4151, 538, 4544, 269, 634, 2179, 12276, 9508, 4151, 568, 2938, 547, 581, 519, 7299, 3845, 1063, 891, 1079, 14258, 693, 1142, 942, 267, 543, 538, 519, 2013, 540, 519, 10092, 3254, 538, 519, 6516, 267, 12276, 9508, 13375, 6025, 9368, 264, 283, 271, 31859, 763, 3017, 538, 519, 2962, 1063, 519, 1079, 10092, 568, 1813, 547, 1079, 7418, 281, 1101, 267, 972, 568, 519, 9295, 1813, 547, 519, 3063, 942, 267, 689, 20270, 339, 3709, 325, 22288, 547, 20270, 339, 3709, 325, 23180, 18773, 512, 20954, 602, 519, 9325, 3217, 547, 2347, 922, 2619, 269, 5822, 267, 972, 568, 519, 3017, 538, 519, 1079, 3527, 936, 519, 2619, 689, 20270, 339, 3709, 328, 22288, 547, 20270, 339, 3709, 325, 3686, 10608, 634, 1101, 9295, 568, 7357, 1007, 543, 267, 585, 606, 31208, 2572, 2711, 3063, 942, 12276, 18773, 512, 20954, 621, 568, 2016, 676, 692, 7445, 6234, 1422, 23169, 590, 3709, 272, 13157, 299, 13375, 6025, 3709, 325, 4153, 2431, 9385, 18773, 512, 1422, 1422, 1422, 1422, 1422, 630, 274, 22491, 3602, 20270, 299, 13375, 6025, 3709, 325, 4153, 2431, 264, 4151, 568, 519, 20698, 337, 836, 1014, 11117, 693, 942, 20270, 339, 3709, 325, 3686, 10608, 634, 824, 9295, 666, 581, 5833, 676, 8795, 519, 2962, 936, 519, 2619, 689, 20270, 339, 3709, 328, 13157, 271, 4151, 547, 20270, 339, 3709, 325, 22288, 1384, 7445, 6234, 1422, 23169, 590, 3709, 273, 18098, 842, 3709, 271, 8703, 339, 3709, 325, 14990, 23169, 700, 20939, 19049, 1422, 1422, 1422, 1422, 1422, 630, 275, 22491, 7712, 20270, 299, 4151, 5673, 593, 20270, 343, 4151, 543, 12276, 25346, 12757, 3686, 8961, 649, 723, 692, 7445, 6234, 1422, 23169, 700, 7807, 2765, 3189, 14783, 700, 7346, 14783, 1535, 4153, 23169, 1535, 10954, 2765, 3189, 14783, 700, 7346, 14783, 315, 25346, 12757, 14990, 23169, 315, 25346, 12757, 348, 1422, 1422, 1422, 1422, 1422, 630, 276, 22491, 2690, 31208, 2572, 574, 958, 1114, 24551, 267, 649, 666, 1294, 689, 519, 6516, 1657, 602, 12276, 23169, 1535, 7807, 9508, 13375, 6025, 9368, 264, 4151, 693, 1142, 1448, 593, 519, 7455, 267, 865, 12276, 23169, 315, 25346, 12757, 18098, 25346, 3189, 9508, 4153, 3847, 6025, 9368, 264, 20954, 865, 649, 1205, 692, 4399, 6234, 1422, 23169, 590, 3709, 273, 4151, 4399, 6234, 815, 259, 4399, 6234, 1422, 842, 3709, 271, 8703, 339, 3709, 325, 14990, 3847, 24560, 2765, 3189, 14783, 700, 7346, 14783, 1535, 4153, 9508, 13375, 6025, 9368, 264, 10954, 2765, 3189, 14783, 700, 7346, 14783, 315, 25346, 12757, 14990, 25346, 3189, 9508, 4153, 3847, 6025, 9368, 9385, 2431, 316, 20939, 19049, 315, 1422, 1422, 1422, 1422, 630, 277, 7751, 4399, 6234, 259, 4399, 6234, 815, 259, 4399, 6234, 1422, 842, 3709, 271, 8703, 339, 3709, 325, 14990, 3847, 314, 10559, 2765, 18097, 2410, 19049, 4153, 2765, 3189, 14783, 700, 7346, 14783, 315, 25346, 12757, 3686, 10954, 2765, 3189, 14783, 700, 7346, 14783, 1535, 4153, 2431, 316, 315, 9508, 13375, 6025, 9368, 264, 19049, 10954, 842, 3709, 271, 8703, 339, 3709, 325, 14990, 2765, 18097, 2410, 19049, 4153, 3847, 7268, 2765, 3189, 14783, 700, 7346, 14783, 315, 25346, 12757, 14990, 9508, 13375, 6025, 9368, 9385, 2431, 264, 19049, 315, 1422, 1422, 1422, 1422, 630, 278, 7751, 4399, 6234, 259, 4399, 6234, 815, 259, 4399, 6234, 476, 271, 10954, 3847, 26142, 2765, 3189, 14783, 700, 7346, 14783, 315, 25346, 12757, 14990, 9508, 13375, 6025, 9368, 9385, 2431, 347, 3709, 339, 3709, 325, 3686, 1422, 1422, 1422, 1422, 1422, 630, 279, 22491, 1103, 891, 4834, 267, 519, 16755, 540, 20270, 299, 4151, 616, 11117, 593, 519, 3312, 7455, 20270, 343, 3709, 743, 3686, 10608, 1677, 13182, 519, 2034, 1899, 267, 946, 519, 1587, 4341, 593, 519, 2034, 2076, 8681, 543, 22599, 2474, 547, 1205, 519, 1101, 1899, 269, 634, 2034, 2165, 538, 519, 2063, 568, 11117, 693, 20270, 339, 284, 339, 3709, 325, 22288, 1152, 2094, 649, 2461, 14322, 602, 12276, 9508, 13375, 263, 271, 9368, 6661, 271, 31859, 763, 7274, 538, 23049, 538, 519, 1101, 7533, 568, 4642, 267, 1317, 540, 519, 25586, 6441, 698, 9792, 4834, 799, 616, 4570, 593, 519, 3312, 7455, 20270, 343, 3709, 743, 22288, 1384, 7445, 6234, 1422, 2765, 18097, 2410, 19049, 4153, 2765, 3189, 14783, 700, 7346, 14783, 315, 25346, 12757, 3686, 10559, 2765, 3189, 14783, 700, 7346, 14783, 1535, 13157, 271, 1422, 1422, 1422, 1422, 1422, 630, 280, 22491, 21607, 1154, 3388, 1927, 267, 649, 1205, 585, 519, 2698, 8390, 538, 519, 2962, 1384, 4399, 6234, 1422, 23169, 590, 3709, 743, 4151, 4399, 6234, 815, 259, 4399, 6234, 1422, 23169, 590, 3709, 272, 23180, 23169, 590, 3709, 273, 4153, 1422, 1422, 1422, 1422, 630, 1015, 7751, 4399, 6234, 259, 4399, 6234, 815, 259, 4399, 6234, 1422, 3847, 24560, 2765, 3189, 14783, 700, 7346, 14783, 315, 25346, 12757, 14990, 9508, 13375, 6025, 9368, 11924, 299, 315, 18773, 512, 9368, 316, 3709, 339, 3709, 325, 3686, 1422, 1422, 1422, 1422, 1422, 630, 1556, 22491, 19185, 693, 519, 6516, 1657, 267, 519, 9386, 540, 519, 4544, 7455, 20270, 343, 13375, 6025, 3709, 325, 4153, 2431, 264, 4151, 693, 519, 942, 20270, 339, 3709, 325, 22288, 568, 2016, 676, 692, 7445, 6234, 1422, 25346, 12757, 4153, 3847, 6025, 3709, 325, 4153, 2431, 21174, 2765, 3189, 3847, 24689, 9508, 13375, 6025, 3709, 325, 4153, 2431, 9385, 2431, 347, 7346, 18773, 512, 348, 1422, 1422, 1422, 1422, 1422, 630, 1321, 22491, 5804, 519, 4214, 476, 273, 540, 12276, 9508, 4151, 649, 1294, 602, 12276, 9508, 13375, 6025, 3709, 325, 4153, 2431, 264, 283, 271, 20954, 865, 692, 7445, 6234, 1422, 9508, 13375, 6025, 3709, 325, 4153, 2431, 6661, 10559, 25346, 12757, 4153, 3847, 6025, 3709, 325, 4153, 2431, 9385, 18773, 512, 1422, 1422, 1422, 1422, 1422, 630, 1724, 22491, 1607, 3947, 519, 3803, 3830, 585, 519, 8390, 540, 519, 2962, 1384, 4399, 6234, 1422, 23169, 590, 3709, 743, 4151, 4399, 6234, 815, 259, 4399, 6234, 1422, 3847, 314, 10559, 2765, 3189, 14783, 700, 7346, 14783, 315, 25346, 12757, 14990, 25346, 12757, 15396, 299, 9368, 316, 3709, 339, 3709, 325, 14990, 18773, 512, 315, 1422, 1422, 1422, 1422, 630, 1691, 7751, 4399, 6234, 259, 4399, 6234, 815, 259, 4399, 6234, 1422, 3847, 8987, 335, 315, 25346, 12757, 15396, 299, 9368, 9385, 18773, 512, 315, 1422, 1422, 1422, 1422, 630, 1428, 7751, 4399, 6234, 259, 4399, 6234, 815, 259, 4399, 6234, 910, 295, 315, 18773, 512, 1422, 1422, 1422, 1422, 1422, 630, 1626, 22491, 3602, 519, 2034, 1899, 5205, 689, 519, 4214, 540, 519, 28138, 11610, 20270, 335, 7807, 14783, 700, 270, 315, 14783, 315, 25346, 12757, 3686, 16859, 763, 2838, 12045, 568, 692, 7445, 6234, 1422, 7901, 539, 3189, 2765, 3189, 14783, 590, 3709, 743, 24828, 14783, 512, 3709, 325, 3686, 15871, 295, 13375, 6025, 3709, 325, 4153, 2431, 14587, 1422, 1422, 1422, 1422, 1422, 630, 1704, 22491, 8794, 513, 2147, 4480, 267, 649, 666, 960, 856, 12276, 14783, 590, 3709, 743, 348, 270, 315, 14783, 1535, 3709, 325, 3686, 10608, 769, 713, 2013, 267, 519, 3510, 568, 607, 3254, 538, 713, 6516, 1384, 763, 1079, 24551, 1631, 1491, 519, 1482, 942, 267, 855, 538, 519, 9168, 18330, 267, 519, 9325, 7575, 513, 3845, 12276, 18773, 1535, 4151, 2417, 269, 4595, 1312, 10092, 1491, 519, 1482, 942, 267, 972, 568, 1100, 3063, 9295, 20270, 299, 315, 18773, 512, 23201, 769, 713, 2013, 12276, 9508, 13375, 6025, 9368, 264, 285, 271, 20954, 2094, 519, 1007, 630, 19990, 264, 7455, 20270, 343, 13375, 6025, 9368, 264, 4151, 568, 1657, 519, 2025, 630, 1042, 264, 835, 20270, 343, 3709, 743, 4153, 3847, 6025, 9368, 264, 23201, 634, 8174, 566, 568, 519, 1482, 607, 1657, 909, 547, 476, 279, 267, 543, 519, 2698, 8390, 538, 519, 2962, 568, 1631, 692, 7445, 6234, 1422, 23169, 590, 3709, 743, 18098, 3847, 26142, 2765, 3189, 14783, 700, 7346, 14783, 315, 25346, 12757, 14990, 9508, 13375, 6025, 9368, 9385, 2431, 347, 3709, 339, 3709, 325, 3686, 1422, 1422, 1422, 1422, 1422, 630, 1240, 22491, 4263, 20270, 339, 284, 339, 3709, 325, 3686, 8961, 12276, 9508, 13375, 6025, 3709, 325, 4153, 2431, 21174, 18773, 1535, 20954, 865, 649, 1205, 692, 4399, 6234, 1422, 23169, 590, 3709, 743, 4151, 4399, 6234, 815, 259, 4399, 6234 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 272, 1341, 703, 9230, 12296, 910, 7535, 318, 12296, 264, 1315, 7535, 23919, 728, 2020, 825, 15848, 815, 5286, 25910, 318, 3697, 3287, 2020, 825, 1948, 7982, 1189, 4412, 454, 825, 585, 544, 538, 2039, 29687, 2187, 1038, 585, 524, 538, 2039, 263, 577, 2335, 1564, 2187, 2018, 585, 1775, 538, 2039, 28956, 318, 295, 2187, 3546, 585, 795, 538, 2039, 28956, 318, 310, 2187, 7386, 6885, 815, 1535, 314, 332, 267, 524, 267, 1775, 265, 23051, 23919, 728, 281, 1775, 265, 23051, 23919, 728, 266, 23051, 318, 19417, 2676, 4449, 17264, 795, 265, 23051, 23919, 728, 281, 795, 265, 23051, 23919, 728, 266, 23051, 318, 12296, 2639, 7386, 15848, 314, 332, 267, 524, 267, 1775, 265, 23051, 23919, 728, 281, 1775, 265, 23051, 23919, 728, 266, 23051, 318, 19417, 267, 795, 265, 23051, 23919, 728, 315, 454, 7386, 2433, 795, 265, 23051, 23919, 728, 266, 23051, 318, 12296, 316, 815, 630, 30720, 2652, 5286, 27982, 263, 30720, 4297, 2608, 26444, 7386, 546, 719, 314, 332, 267, 524, 267, 1775, 267, 795, 6540, 825, 2132, 15848, 692, 7531, 3698, 5276, 318, 3453, 10490, 267, 654, 267, 536, 2187, 825, 5727, 25363, 618, 519, 5276, 851, 540, 513, 4494, 781, 4464, 18640, 780, 825, 1488, 7714, 912, 1038, 589, 281, 1437, 725, 689, 3105, 4494, 630, 528, 3403, 1239, 2567, 630, 21653, 540, 3105, 4494, 267, 1297, 540, 1806, 994, 1038, 654, 281, 12035, 5119, 281, 11885, 5044, 540, 3337, 630, 21653, 540, 1699, 4494, 267, 2450, 540, 3105, 4494, 994, 1038, 536, 281, 9186, 6152, 267, 11885, 5044, 540, 3337, 630, 21653, 540, 519, 1699, 4494, 267, 476, 272, 2020, 825, 16849, 912, 1038, 2098, 281, 634, 3403, 540, 519, 11852, 1599, 267, 849, 1572, 840, 19840, 10474, 9936, 454, 1038, 21461, 2433, 589, 9226, 8675, 5627, 834, 288, 2580, 834, 310, 257, 543, 834, 321, 257, 6902, 6740, 585, 7384, 519, 18807, 1780, 7561, 454, 825, 29185, 825, 2098, 815, 5286, 31715, 263, 310, 267, 589, 264, 1341, 536, 692, 825, 7682, 630, 313, 17482, 2652, 630, 310, 17482, 314, 271, 3910, 589, 17482, 314, 272, 28413, 825, 21461, 815, 630, 288, 267, 654, 267, 536, 2020, 825, 2132, 2098, 267, 21461, 692, 3698, 5276, 318, 716, 10474, 318, 3453, 10490, 318, 2181, 341, 267, 654, 267, 536, 267, 11852, 267, 18325, 267, 12498, 267, 536, 333, 318, 12407, 2187, 825, 5727, 25363, 618, 519, 4464, 18640, 585, 519, 700, 12114, 2752, 15010, 3722, 30888, 9569, 4494, 692, 825, 1488, 7714, 912, 1038, 589, 318, 2181, 341, 281, 1437, 725, 689, 3105, 4494, 630, 528, 3403, 1239, 2567, 630, 21653, 540, 3105, 4494, 267, 1297, 540, 1806, 994, 1038, 654, 281, 12035, 5119, 281, 11885, 5044, 540, 3337, 630, 21653, 540, 1699, 4494, 267, 2450, 540, 3105, 4494, 994, 1038, 536, 281, 9186, 6152, 267, 11885, 5044, 540, 3337, 630, 21653, 540, 519, 1699, 4494, 267, 476, 272, 994, 1038, 11852, 281, 519, 11852, 547, 581, 1031, 538, 713, 4494, 267, 6740, 607, 513, 1257, 5569, 281, 834, 338, 31451, 257, 610, 834, 516, 1663, 5016, 825, 16849, 912, 1038, 589, 281, 634, 3977, 540, 519, 11852, 1599, 267, 849, 1572, 519, 2022, 19840, 10474, 1871, 454, 1038, 21461, 281, 589, 9226, 8675, 5627, 834, 15035, 6831, 5995, 257, 543, 834, 716, 10474, 6831, 5995, 257, 3248, 25639, 6740, 585, 7384, 519, 18807, 1780, 7561, 454, 825, 5727, 7531, 825, 1948, 18452, 338, 281, 834, 288, 318, 2181, 341, 267, 654, 267, 536, 2668, 19243, 338, 281, 834, 288, 267, 11852, 6831, 5995, 8487, 825, 952, 11852, 2652, 1412, 516, 1663, 12466, 1038, 2098, 267, 5276, 6831, 5995, 815, 5276, 318, 3453, 10490, 318, 2181, 341, 267, 654, 267, 536, 994, 1038, 2098, 267, 10627, 1013, 768, 6831, 5995, 815, 10627, 1013, 768, 318, 3453, 263, 313, 267, 18325, 267, 12498, 267, 536, 333, 318, 12407, 994, 1038, 589, 267, 11852, 6831, 5995, 815, 882, 340, 263, 313, 994, 825, 8640, 11852, 2652, 1412, 7809, 10946, 12466, 1038, 2098, 267, 5276, 6831, 5995, 815, 5276, 318, 3453, 10490, 318, 2181, 341, 267, 654, 267, 536, 994, 1038, 2098, 267, 10627, 1013, 768, 6831, 5995, 815, 10627, 1013, 768, 318, 3453, 263, 313, 267, 18325, 267, 12498, 267, 536, 333, 318, 12407, 994, 1038, 589, 267, 11852, 6831, 5995, 815, 2571, 10946, 263, 313, 2020, 825, 1948, 7682, 630, 288, 17482, 2652, 630, 310, 17482, 314, 271, 3910, 589, 318, 2181, 341, 17482, 314, 272, 28413, 825, 21461, 815, 630, 15035, 6831, 5995, 267, 11852, 6831, 5995, 267, 10627, 1013, 768, 6831, 5995, 2020, 825, 2132, 589, 267, 21461, 692, 3698, 5276, 318, 3724, 1189, 5560, 313, 267, 21461, 2187, 825, 5727, 25363, 618, 519, 5276, 6712, 540, 18807, 18640, 585, 513, 2582, 4494, 630, 331, 9707, 561, 2020, 825, 1488, 7714, 912, 1038, 546, 313, 281, 27240, 1304, 540, 519, 1942, 609, 2463, 547, 519, 5276, 3977, 630, 1993, 1699, 4494, 561, 994, 1038, 21461, 281, 24042, 540, 2418, 630, 288, 318, 2181, 341, 267, 654, 267, 536, 264, 4947, 689, 519, 4464, 18640, 538, 519, 1699, 4494, 692, 825, 16849, 912, 1038, 546, 288, 318, 2181, 341, 281, 27240, 1304, 540, 519, 1942, 609, 2463, 547, 519, 11852, 630, 1993, 519, 3105, 4494, 561, 268, 272, 1070, 1482, 3337, 607, 589, 318, 2181, 341, 454, 1038, 546, 310, 281, 27240, 1304, 540, 519, 1942, 609, 2463, 547, 654, 630, 9690, 4494, 561, 1070, 1482, 3337, 607, 654, 454, 1038, 24563, 281, 27240, 1304, 540, 519, 1942, 609, 2463, 547, 536, 630, 9690, 4494, 561, 1070, 1482, 3337, 607, 536, 454, 825, 8173, 825, 589, 318, 2181, 341, 267, 654, 267, 536, 815, 21461, 454, 825, 544, 815, 589, 318, 2181, 341, 17482, 314, 272, 6540, 825, 546, 310, 815, 476, 272, 269, 1315, 544, 2608, 5286, 31715, 5560, 313, 267, 589, 318, 2181, 341, 11053, 994, 825, 24563, 815, 476, 272, 269, 1315, 544, 2608, 5286, 27904, 5560, 313, 267, 7852, 284, 272, 267, 1832, 323, 15501, 18989, 994, 825, 546, 288, 318, 2181, 341, 815, 5286, 31715, 263, 310, 11053, 267, 546, 313, 2020, 825, 7682, 630, 323, 288, 318, 2181, 341, 17482, 2652, 589, 318, 2181, 341, 17482, 994, 825, 7682, 630, 323, 310, 17482, 2652, 654, 17482, 994, 825, 7682, 630, 27219, 17482, 2652, 536, 17482, 2020, 825, 2132, 546, 288, 318, 2181, 341, 267, 546, 310, 267, 24563, 692, 3698, 5276, 318, 716, 10474, 318, 3724, 1189, 5560, 288, 267, 21461, 2187, 825, 5727, 25363, 618, 519, 18807, 18640, 585, 519, 700, 12114, 2752, 15010, 3722, 30888, 9569, 4494, 780, 825, 1488, 7714, 912, 1038, 546, 288, 281, 2022, 19840, 10474, 13506, 585, 1699, 4494, 561, 454, 1038, 21461, 281, 24042, 540, 2418, 630, 15035, 6831, 5995, 267, 11852, 6831, 5995, 264, 649, 4558, 585, 7384, 18807, 18640, 7561, 454, 1038, 11852, 281, 519, 11852, 547, 581, 1031, 538, 713, 4494, 267, 6740, 607, 513, 1257, 5569, 281, 834, 338, 31451, 257, 610, 834, 516, 1663, 5016, 825, 16849, 912, 1038, 546, 288, 318, 2181, 341, 281, 27240, 1304, 540, 519, 1942, 609, 2463, 547, 519, 11852, 630, 1993, 519, 3105, 4494, 561, 268, 272, 1070, 1482, 3337, 607, 589, 318, 2181, 341, 454, 1038, 546, 310, 281, 27240, 1304, 540, 519, 1942, 609, 2463, 547, 654, 630, 9690, 4494, 561, 1070, 1482, 3337, 607, 654, 454, 1038, 24563, 281, 27240, 1304, 540, 519, 1942, 609, 2463, 547, 536, 630, 9690, 4494, 561, 1070, 1482, 3337, 607, 536, 454, 825, 8173, 825, 5276, 6831, 5995, 267, 11852, 6831, 5995, 267, 10627, 1013, 768, 6831, 5995, 815, 21461, 454, 825, 546, 313, 815, 882, 340, 318, 3724, 1189, 5560, 288, 267, 11852, 6831, 5995, 994, 825, 546, 313, 267, 546, 24472, 267, 546, 15883, 815, 10627, 1013, 768, 318, 3724, 1189, 5560, 313, 267, 10627, 1013, 768, 6831, 5995, 994, 825, 546, 288, 318, 2181, 341, 267, 546, 310, 267, 24563, 815, 5276, 318, 3724, 1189, 5560, 313, 267, 5276, 6831, 5995, 2020, 692, 825, 2132, 546, 288, 318, 2181, 341, 267, 546, 310, 267, 24563, 267, 546, 24472, 267, 546, 15883, 692, 7531, 3698, 10627, 1013, 768, 318, 3453, 3287, 267, 18325, 267, 12498, 267, 536, 333, 318, 12407, 2187, 825, 5727, 289, 2255, 3339, 1436, 540, 11852, 17016, 780, 825, 1488, 7714, 912, 1038, 1535, 281, 11852, 17016, 563, 1038, 18325, 281, 9936, 540, 4542, 630, 343, 5332, 768, 815, 18325, 2608, 1535, 5332, 768, 1341, 12498, 1916, 1038, 12498, 281, 9936, 540, 4542, 630, 343, 5332, 768, 815, 18325, 2608, 1535, 5332, 768, 1341, 12498, 1916, 1038, 536, 333, 318, 12407, 281, 589, 9226, 8675, 540, 2715, 332, 1712, 267, 552, 27432, 267, 11610, 267, 4881, 318, 11743, 267, 4881, 318, 12534, 348, 780, 825, 16849, 912, 1038, 856, 281, 16453, 1436, 540, 11852, 17016, 563, 1038, 21461, 281, 16515, 921, 540, 2418, 630, 343, 267, 3732, 318, 11743, 267, 3732, 318, 12534, 267, 1535, 318, 1002, 267, 552, 1186, 267, 18325, 267, 12498, 264, 649, 6740, 563, 825, 29185, 825, 7154, 815, 536, 333, 318, 12407, 9131, 332, 1712, 23300, 825, 552, 1186, 815, 536, 333, 318, 12407, 9131, 10134, 23300, 825, 11610, 815, 536, 333, 318, 12407, 9131, 332, 30291, 636, 262, 6540, 825, 631, 267, 667, 815, 1535, 17482, 454, 825, 4881, 318, 11743, 815, 536, 333, 318, 12407, 10947, 3488, 337, 7342, 318, 11743, 3299, 5286, 25910, 20573, 267, 546, 6943, 24210, 6155, 6943, 4917, 825, 4881, 318, 12534, 815, 536, 333, 318, 12407, 10947, 3488, 337, 7342, 318, 12534, 3299, 5286, 25910, 20573, 267, 546, 6943, 24210, 6155, 6943, 11723, 825, 856, 267, 21461, 815, 7183, 267, 7183, 454, 825, 952, 7154, 2652, 1412, 30221, 12466, 1038, 3732, 318, 11743, 815, 5286, 32557, 3287, 267, 7852, 284, 271, 994, 1038, 3732, 318, 12534, 815, 5286, 269, 12534, 3287, 267, 7852, 284, 271, 994, 1038, 1535, 318, 1002, 815, 630, 343, 910, 3732, 318, 11743, 264, 1315, 5286, 28460, 4433, 2217, 318, 12534, 1341, 552, 1186, 2020, 1038, 856, 815, 18325, 2608, 1535, 318, 1002, 1341, 12498, 692, 1038, 21461, 815, 630, 343, 267, 3732, 318, 11743, 267, 3732, 318, 12534, 267, 1535, 318, 1002, 267, 552, 1186, 267, 18325, 267, 12498, 994, 1038, 4881, 318, 11743, 815, 11610, 2608, 4881, 318, 11743, 1341, 630, 272, 910, 11610, 264, 2608, 3732, 318, 11743, 454, 1038, 4881, 318, 12534, 815, 11610, 2608, 4881, 318, 12534, 1341, 630, 272, 910, 11610, 264, 2608, 3732, 318, 12534, 692, 825, 8640, 7154, 2652, 1412, 11687, 12466, 1038, 856, 815, 630, 343, 910, 4881, 318, 11743, 264, 2608, 18325, 1315, 5286, 28460, 16868, 7342, 318, 12534, 1341, 552, 1186, 264, 1341, 12498, 692, 825, 536, 333, 318, 12407, 9131, 337, 7342, 318, 11743, 11172, 815, 4881, 318, 11743, 454, 825, 536, 333, 318, 12407, 9131, 337, 7342, 318, 12534, 11172, 815, 4881, 318, 12534, 692, 825, 2132, 856, 267, 21461, 692, 3698, 10627, 1013, 768, 318, 3724, 1189, 5560, 719, 267, 21461, 2187, 825, 5727, 12988, 1189, 18640, 540, 16801, 3339, 1436, 780, 825, 1488, 7714, 912, 1038, 546, 719, 281, 634, 12045, 609, 2463, 547, 2063, 4756, 563, 1038, 21461, 281, 16515, 921, 540, 2418, 630, 343, 267, 3732, 318, 11743, 267, 3732, 318, 12534, 267, 1535, 318, 1002, 267, 552, 1186, 267, 18325, 267, 12498, 994, 25639, 649, 6740, 538, 4464, 18640, 780, 825, 16849, 912, 1038, 15848, 281, 634, 12045, 609, 2463, 547, 11852, 3977, 563, 1038, 546, 24472, 281, 634, 12045, 609, 2463, 547, 18325, 563, 1038, 546, 15883, 281, 634, 12045, 609, 2463, 547, 12498, 563, 825, 29185, 825, 1535, 267, 1611, 267, 15254, 267, 1535, 318, 1002, 267, 552, 1186, 267, 18325, 267, 12498, 815, 21461, 454, 825, 631, 815, 1535, 17482, 314, 271, 2639, 825, 546, 24472, 815, 5286, 27904, 5560, 719, 2608, 1535, 318, 1002, 267, 7852, 284, 271, 994, 825, 546, 15883, 815, 5286, 27904, 5560, 719, 2608, 476, 272, 269, 271, 267, 7852, 284, 271, 994, 825, 15848, 318, 1002, 815, 546, 719, 2608, 18325, 454, 825, 15848, 318, 1002, 5332, 10179, 1807, 815, 15848, 318, 1002, 1315, 5286, 28460, 263, 12534, 1341, 552, 1186, 994, 825, 15848, 318, 1002, 5091, 523, 7631, 1807, 815, 5286, 27904, 5560, 343, 318, 1002, 2608, 630, 343, 268, 11743, 1070, 7852, 284, 271, 994, 825, 15848, 318, 272, 815, 15848, 318, 1002, 5332, 10179, 1807, 454, 825, 546, 12534, 815, 910, 271, 269, 276 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 540, 1931, 476, 274, 22172, 26759, 269, 4855, 519, 10545, 476, 279, 15654, 9981, 267, 971, 602, 782, 519, 6305, 2338, 689, 1269, 273, 259, 547, 1269, 5038, 259, 7941, 883, 693, 2547, 835, 2165, 538, 519, 1592, 563, 7617, 1297, 540, 476, 16960, 267, 13893, 267, 13970, 267, 16409, 568, 5258, 676, 476, 278, 2496, 276, 269, 12361, 1234, 281, 3807, 930, 6305, 1297, 1187, 692, 23192, 17397, 676, 631, 537, 327, 21036, 454, 7617, 1297, 540, 476, 16960, 267, 13893, 267, 13970, 267, 16409, 568, 5258, 676, 476, 278, 888, 12552, 585, 15738, 856, 1250, 12161, 269, 22682, 9039, 607, 476, 278, 17337, 476, 3583, 1341, 476, 3583, 815, 476, 9610, 267, 865, 519, 1985, 1131, 581, 476, 15704, 780, 296, 3494, 519, 1305, 540, 9981, 834, 6434, 267, 476, 8660, 267, 476, 3445, 267, 476, 11011, 257, 568, 606, 1383, 540, 513, 834, 1260, 22683, 1592, 540, 1931, 476, 273, 2668, 594, 14353, 922, 519, 10545, 540, 834, 4650, 476, 273, 257, 607, 1134, 267, 855, 594, 10093, 1405, 13761, 713, 780, 277, 269, 12361, 1234, 281, 3807, 930, 6305, 1297, 1187, 692, 296, 4769, 1405, 2731, 5595, 2638, 610, 4376, 269, 1403, 1022, 540, 596, 917, 9226, 596, 666, 1413, 693, 621, 952, 596, 1616, 780, 24927, 912, 5228, 942, 1104, 9219, 454, 8218, 815, 9219, 10797, 3698, 6305, 318, 4818, 5334, 10079, 263, 21639, 2187, 12163, 4958, 5281, 1592, 540, 7003, 263, 21639, 994, 271, 585, 6305, 454, 272, 585, 12432, 454, 12163, 333, 4548, 815, 1496, 271, 585, 562, 538, 2039, 263, 21639, 22708, 335, 815, 476, 273, 454, 6112, 533, 2999, 703, 9638, 578, 263, 21639, 267, 476, 271, 269, 276, 264, 1341, 476, 272, 2187, 1721, 546, 538, 1535, 9792, 9638, 1341, 533, 267, 5580, 267, 533, 2187, 333, 4548, 314, 323, 316, 815, 476, 272, 454, 6112, 6936, 912, 335, 6834, 476, 272, 454, 604, 711, 15358, 314, 335, 14158, 19874, 454, 8873, 15358, 692, 333, 4548, 815, 6305, 318, 4818, 5334, 10079, 263, 1015, 1262, 278, 994, 1440, 1307, 815, 1496, 333, 585, 562, 267, 1535, 538, 26246, 25225, 11468, 4792, 8079, 952, 1535, 2652, 476, 271, 6012, 273, 281, 2639, 718, 318, 4818, 9078, 1235, 815, 1496, 1598, 3799, 264, 1341, 1412, 1412, 952, 1535, 2652, 476, 272, 3116, 24003, 7055, 1721, 562, 267, 1535, 538, 26246, 25225, 22708, 718, 318, 4818, 9078, 1235, 815, 1496, 14090, 17301, 267, 1016, 8217, 21858, 15405, 1721, 1016, 8217, 538, 1412, 8339, 21860, 263, 718, 318, 4818, 9078, 1235, 1040, 20889, 3488, 265, 10807, 2639, 718, 318, 4818, 9078, 1235, 815, 1496, 11357, 8217, 585, 1016, 8217, 538, 782, 318, 4818, 9078, 1235, 454, 604, 7003, 4433, 889, 8217, 264, 13843, 476, 279, 6540, 1721, 735, 8217, 538, 782, 318, 4818, 9078, 1235, 912, 1721, 1535, 538, 2039, 12759, 263, 4818, 8217, 264, 910, 476, 278, 2187, 11357, 318, 4818, 8217, 815, 735, 8217, 20572, 281, 343, 266, 279, 2639, 11398, 318, 4818, 8217, 815, 6936, 454, 1721, 533, 538, 22136, 912, 11398, 8548, 738, 2118, 815, 8771, 454, 1721, 524, 538, 1016, 318, 4818, 8217, 912, 604, 524, 4939, 533, 2652, 476, 271, 912, 11398, 8548, 738, 2118, 815, 6936, 454, 19874, 454, 11398, 318, 4818, 8217, 815, 8771, 454, 19874, 454, 604, 1336, 318, 4818, 8217, 912, 2745, 22207, 8339, 21860, 9852, 777, 19304, 267, 735, 8217, 4917, 19874, 454, 604, 1336, 318, 4818, 8217, 912, 19874, 692, 2745, 1412, 1260, 921, 1540, 538, 281, 4939, 338, 7643, 262, 4939, 703, 263, 22018, 3890, 910, 2253, 2020, 278, 269, 12361, 1234, 281, 3807, 930, 6305, 1297, 1187, 692, 1015, 268, 1556, 268, 1321, 268, 1724, 268, 1691, 26042, 528, 476, 1556, 268, 1321, 268, 1724, 268, 1691, 268, 1428, 2496, 279, 269, 12361, 1234, 281, 3807, 930, 6305, 1297, 1187, 692, 28646, 10545, 543, 20125, 1592, 540, 15654, 2338, 692, 280, 269, 12361, 1234, 281, 3807, 930, 6305, 1297, 1187, 692, 23192, 17397, 676, 678, 1380, 11277, 454, 296, 4769, 1405, 2731, 5595, 2638, 610, 4376, 269, 1403, 1022, 540, 596, 917, 9226, 596, 666, 1413, 693, 621, 952, 596, 1616, 780, 24927, 912, 5228, 942, 1104, 9219, 454, 8218, 815, 9219, 10797, 3698, 6305, 318, 4818, 5334, 10079, 263, 21639, 2187, 12163, 4958, 5281, 1592, 540, 7003, 263, 21639, 994, 271, 585, 6305, 454, 272, 585, 12432, 454, 12163, 333, 4548, 815, 1496, 271, 585, 562, 538, 2039, 263, 21639, 22708, 335, 815, 476, 273, 454, 6112, 533, 2999, 703, 9638, 578, 263, 21639, 267, 476, 271, 269, 276, 264, 1341, 476, 272, 2187, 1721, 546, 538, 1535, 9792, 9638, 1341, 533, 267, 5580, 267, 533, 2187, 333, 4548, 314, 323, 316, 815, 476, 272, 454, 6112, 6936, 912, 335, 6834, 476, 272, 454, 604, 711, 15358, 314, 335, 14158, 19874, 454, 8873, 15358, 692, 333, 4548, 815, 6305, 318, 4818, 5334, 10079, 263, 1015, 1262, 278, 994, 1440, 1307, 815, 1496, 333, 585, 562, 267, 1535, 538, 26246, 25225, 11468, 4792, 8079, 952, 1535, 2652, 476, 271, 6012, 273, 281, 2639, 718, 318, 4818, 9078, 1235, 815, 1496, 1598, 3799, 264, 1341, 1412, 1412, 952, 1535, 2652, 476, 272, 3116, 24003, 7055, 1721, 562, 267, 1535, 538, 26246, 25225, 22708, 718, 318, 4818, 9078, 1235, 815, 1496, 14090, 17301, 267, 1016, 8217, 21858, 15405, 1721, 1016, 8217, 538, 1412, 8339, 21860, 263, 718, 318, 4818, 9078, 1235, 1040, 20889, 3488, 265, 10807, 2639, 718, 318, 4818, 9078, 1235, 815, 1496, 11357, 8217, 585, 1016, 8217, 538, 782, 318, 4818, 9078, 1235, 454, 604, 7003, 4433, 889, 8217, 264, 13843, 476, 279, 6540, 1721, 735, 8217, 538, 782, 318, 4818, 9078, 1235, 912, 1721, 1535, 538, 2039, 12759, 263, 4818, 8217, 264, 910, 476, 278, 2187, 11357, 318, 4818, 8217, 815, 735, 8217, 20572, 281, 343, 266, 279, 2639, 11398, 318, 4818, 8217, 815, 6936, 454, 1721, 533, 538, 22136, 912, 11398, 8548, 738, 2118, 815, 8771, 454, 1721, 524, 538, 1016, 318, 4818, 8217, 912, 604, 524, 4939, 533, 2652, 476, 271, 912, 11398, 8548, 738, 2118, 815, 6936, 454, 19874, 454, 11398, 318, 4818, 8217, 815, 8771, 454, 19874, 454, 604, 1336, 318, 4818, 8217, 912, 2745, 22207, 8339, 21860, 9852, 777, 19304, 267, 735, 8217, 4917, 19874, 454, 604, 1336, 318, 4818, 8217, 912, 19874, 692, 2745, 1412, 1260, 921, 1540, 538, 281, 4939, 338, 7643, 262, 4939, 703, 263, 22018, 3890, 910, 2253, 994, 296, 1810, 1405, 917, 9226, 267, 855, 2390, 2417, 2219, 594, 3494, 519, 2626, 547, 581, 1134, 936, 476, 1015, 2929, 269, 594, 1810, 1405, 1589, 621, 666, 581, 1336, 3842, 513, 834, 1962, 1393, 268, 4403, 257, 3406, 2094, 519, 1297, 1223, 581, 1360, 1360, 1804, 27401, 3674, 707, 5690, 513, 1490, 1393, 268, 4403, 1935, 630, 773, 11974, 538, 26799, 1931, 1169, 2582, 1305, 540, 476, 279, 15654, 9981, 264, 11631, 2496, 3080, 1505, 799, 568, 2693, 547, 581, 513, 2370, 811, 3608, 982, 513, 834, 1962, 1393, 268, 4403, 257, 835, 568, 547, 2015, 519, 9971, 1269, 325, 3287, 264, 815, 630, 343, 7565, 343, 266, 272, 7565, 343, 266, 273, 7565, 343, 266, 274, 7565, 343, 266, 275, 7565, 343, 266, 276, 7565, 343, 266, 277, 7565, 343, 266, 278, 22491, 22428, 715, 815, 476, 1556, 1535, 476, 1724, 1535, 476, 1704, 1535, 476, 866, 1535, 476, 2537, 1535, 476, 3066, 1535, 476, 4029, 1535, 476, 4391, 1535, 476, 6078, 1535, 476, 6246, 1535, 476, 5325, 1535, 476, 7871, 1535, 476, 6795, 1535, 476, 8618, 692, 763, 2243, 2501, 1524, 547, 4466, 519, 10545, 8870, 1269, 343, 259, 971, 602, 1269, 325, 3287, 264, 1422, 25406, 476, 271, 1110, 630, 301, 22491, 18927, 9982, 907, 23099, 1862, 780, 300, 537, 327, 21036, 692, 7312, 1806, 723, 476, 276, 15654, 9981, 269, 1280, 1931, 268, 273, 267, 596, 666, 1152, 723, 476, 275, 15654, 9981, 780, 1015, 269, 12361, 1234, 281, 3807, 930, 6305, 1297, 1187, 692, 8133, 621, 781, 1490, 1393, 3196, 269, 898, 1101, 9060, 782, 519, 5036, 540, 15654, 9981, 2630, 4557, 2929, 602, 616, 3152, 610, 3160, 547, 476, 279, 538, 3259, 543, 616, 782, 12432, 630, 718, 318, 4818, 8217, 1040, 3973, 621, 4422, 998, 1142, 835, 540, 519, 5036, 538, 26799, 1931, 630, 4818, 8217, 1040, 1280, 1142, 1305, 621, 15109, 782, 29162, 540, 15654, 9981, 540, 3259, 476, 279, 538, 519, 630, 11357, 318, 4818, 8217, 264, 543, 11974, 952, 782, 22136, 909, 547, 476, 5038, 7941, 693, 548, 770, 835, 540, 519, 2818, 538, 519, 1016, 27133, 780, 296, 786, 1589, 936, 827, 519, 9971, 596, 4951, 630, 29019, 1491, 803, 930, 2395, 855, 594, 16153, 602, 1522, 581, 513, 3787, 936, 1250, 2212, 269, 594, 1810, 1405, 723, 1454, 2979, 1702, 855, 4126, 547, 1451, 513, 3787, 689, 1934, 780, 1556, 269, 12361, 1234, 281, 3807, 930, 6305, 1297, 1187, 692, 23192, 17397, 676, 25888, 1460, 454, 296, 1810, 1405, 917, 9226, 267, 855, 2390, 2417, 2219, 594, 3494, 519, 2626, 547, 581, 1134, 936, 476, 1015, 2929, 269, 594, 1810, 1405, 1589, 621, 666, 581, 1336, 3842, 513, 834, 1962, 1393, 268, 4403, 257, 3406, 2094, 519, 1297, 1223, 581, 1360, 1360, 1804, 27401, 3674, 707, 5690, 513, 1490, 1393, 268, 4403, 1935, 630, 773, 11974, 538, 26799, 1931, 1169, 2582, 1305, 540, 476, 279, 15654, 9981, 264, 11631, 2496, 3080, 1505, 799, 568, 2693, 547, 581, 513, 2370, 811, 3608, 982, 513, 834, 1962, 1393, 268, 4403, 257, 835, 568, 547, 2015, 519, 9971, 1269, 325, 3287, 264, 815, 630, 343, 7565, 343, 266, 272, 7565, 343, 266, 273, 7565, 343, 266, 274, 7565, 343, 266, 275, 7565, 343, 266, 276, 7565, 343, 266, 277, 7565, 343, 266, 278, 22491, 22428, 715, 815, 476, 1556, 1535, 476, 1724, 1535, 476, 1704, 1535, 476, 866, 1535, 476, 2537, 1535, 476, 3066, 1535, 476, 4029, 1535, 476, 4391, 1535, 476, 6078, 1535, 476, 6246, 1535, 476, 5325, 1535, 476, 7871, 1535, 476, 6795, 1535, 476, 8618, 692, 763, 2243, 2501, 1524, 547, 4466, 519, 10545, 8870, 1269, 343, 259, 971, 602, 1269, 325, 3287, 264, 1422, 25406, 476, 271, 1110, 630, 301, 22491, 18927, 9982, 907, 23099, 1862, 780, 300, 537, 327, 21036, 692, 7312, 1806, 723, 476, 276, 15654, 9981, 269, 1280, 1931, 268, 273, 267, 596, 666, 1152, 723, 476, 275, 15654, 9981, 563, 763, 1655, 1259, 594, 1589, 568, 547, 4194, 10778, 343, 1110, 630, 1556, 264, 27045, 279, 454, 343, 1110, 630, 1724, 10922, 279, 454, 343, 1110, 630, 1704, 264, 27045, 279, 454, 2807, 2483, 343, 1110, 630, 8618, 264, 27045, 279, 692, 16100, 693, 519, 5311, 476, 6434, 267, 8660, 267, 3445, 267, 11011, 563, 2252, 596, 1491, 1535, 284, 10844, 596, 786, 1265, 602, 10778, 10844, 1110, 630, 276, 6661, 273, 454, 10844, 1110, 630, 278, 6661, 272, 454, 10844, 1110, 630, 1556, 6661, 275, 454, 10844, 1110, 630, 1724, 264, 815, 272, 692, 718, 616, 10922, 275, 692, 1321, 269, 12361, 1234, 281, 3807, 930, 6305, 1297, 1187, 692, 23192, 17397, 676, 631, 537, 327, 21036, 454, 763, 1655, 1259, 594, 1589, 568, 547, 4194, 10778, 343, 1110, 630, 1556, 264, 27045, 279, 454, 343, 1110, 630, 1724, 10922, 279, 454, 343, 1110, 630, 1704, 264, 27045, 279, 454, 2807, 2483, 343, 1110, 630, 8618, 264, 27045, 279, 692, 16100, 693, 519, 5311, 476, 6434, 267, 8660, 267, 3445, 267, 11011, 563, 2252, 596, 1491, 1535, 284, 10844, 596, 786, 1265, 602, 10778, 10844, 1110, 630, 276, 6661, 273, 454, 10844, 1110, 630, 278, 6661, 272, 454, 10844, 1110, 630, 1556, 6661, 275, 454, 10844, 1110, 630, 1724, 264, 815, 272, 692, 718, 616, 10922, 275, 454, 8133, 594, 3494, 519, 1655, 1505, 568, 2147, 547, 713, 267, 2705, 3079, 540, 7446, 1535, 543, 7487, 952, 621, 814, 713, 5551, 3959, 267, 649, 1131, 834, 22056, 1535, 257, 3842, 519, 4457, 3816, 664, 1457, 14497, 630, 10135, 300, 1070, 676, 2469, 998, 519, 476, 279, 317, 1691, 5079, 649, 723, 585, 16116, 2611, 10249, 26013, 476, 279, 1851, 891, 476, 1691, 22136, 543, 1287, 946, 630, 10135, 300, 264, 547, 2995, 721, 1535, 32465, 4913, 607, 476, 279, 317, 1691, 3436, 476, 272, 5479, 267, 713, 3406, 1131, 581, 1932, 942, 10438, 585, 1034, 3292, 547, 2347, 780, 2026, 596, 596, 2972, 5752, 267, 5310, 596, 3513, 2972, 713, 824, 6305, 1297, 1966, 594, 6415, 827, 547, 2022, 593 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 563, 769, 713, 1957, 649, 1459, 3877, 540, 519, 5690, 585, 31925, 27829, 9804, 3601, 585, 519, 6531, 476, 274, 5937, 10237, 894, 2360, 269, 8791, 476, 273, 6799, 519, 12191, 267, 543, 538, 3296, 476, 274, 267, 649, 2417, 1685, 11007, 11974, 827, 519, 10054, 538, 519, 15494, 5690, 269, 634, 2164, 616, 4843, 538, 3296, 476, 275, 267, 4553, 676, 513, 5758, 543, 4901, 540, 519, 2164, 538, 519, 3803, 3296, 563, 476, 274, 5937, 10237, 894, 4483, 13502, 6542, 602, 22502, 540, 7943, 676, 12269, 267, 4553, 676, 16057, 14105, 548, 662, 22502, 676, 2011, 6675, 1657, 6531, 1283, 15820, 936, 2312, 10616, 267, 568, 513, 8789, 7271, 585, 519, 19349, 540, 7298, 2992, 766, 538, 2312, 4525, 538, 519, 2013, 540, 10465, 4494, 15921, 15252, 4610, 602, 9114, 936, 4158, 7252, 609, 20851, 11169, 16290, 538, 519, 10465, 4494, 1496, 310, 523, 1696, 620, 1421, 476, 1220, 279, 4940, 589, 1079, 2000, 9707, 2203, 814, 1044, 2919, 547, 2953, 519, 2312, 1606, 5652, 2992, 766, 19349, 689, 6531, 2173, 12817, 22502, 1496, 300, 6702, 752, 1696, 620, 1421, 476, 1220, 279, 4940, 1635, 1210, 519, 22621, 2992, 1734, 607, 3403, 547, 519, 26827, 3041, 10512, 27829, 5690, 267, 835, 3489, 338, 22621, 27829, 9804, 3601, 269, 3371, 649, 13713, 4766, 519, 1079, 2000, 9707, 2203, 585, 7384, 2312, 1606, 5652, 2992, 766, 3986, 906, 543, 519, 3268, 585, 31925, 27829, 3601, 563, 273, 269, 272, 634, 5565, 6441, 9707, 7844, 454, 634, 1079, 2000, 9707, 2203, 585, 7384, 519, 2312, 1606, 5652, 2992, 766, 19349, 1813, 547, 12269, 568, 4843, 538, 7612, 476, 272, 269, 1280, 513, 26827, 3041, 476, 1015, 5998, 6398, 476, 1015, 5998, 7470, 4216, 267, 519, 6531, 14001, 2312, 1606, 5652, 2992, 766, 19349, 666, 581, 6059, 952, 519, 16057, 7522, 7171, 13441, 630, 528, 620, 5523, 334, 264, 689, 519, 6531, 4494, 568, 1634, 269, 11109, 519, 7522, 7171, 16057, 13441, 689, 519, 6531, 4494, 267, 835, 949, 12337, 519, 2312, 1606, 5652, 2992, 766, 19349, 630, 24941, 305, 264, 1210, 513, 5594, 9168, 1079, 2000, 9707, 2203, 1496, 300, 6702, 752, 1696, 620, 1421, 476, 1220, 279, 4940, 5381, 547, 15794, 752, 1696, 620, 269, 2073, 649, 2015, 1079, 2234, 10662, 281, 630, 272, 264, 835, 568, 10630, 689, 513, 7745, 6531, 2361, 609, 22502, 14105, 548, 662, 4494, 1657, 621, 543, 630, 273, 264, 835, 568, 10630, 689, 519, 1482, 7745, 6531, 2361, 855, 519, 6675, 538, 519, 5580, 4494, 4929, 14486, 267, 855, 1100, 22502, 563, 3602, 26018, 263, 16575, 264, 568, 519, 7636, 9804, 3178, 1657, 12269, 282, 14668, 301, 263, 16575, 264, 568, 519, 7522, 7171, 6531, 620, 5523, 334, 585, 15423, 18494, 540, 26827, 3041, 27829, 13164, 282, 3852, 358, 271, 543, 3852, 358, 616, 519, 4287, 540, 519, 6129, 543, 519, 13156, 4287, 540, 519, 9682, 282, 13179, 568, 25482, 540, 519, 9682, 13156, 1990, 523, 603, 5086, 282, 681, 332, 568, 519, 2992, 766, 540, 519, 7636, 4494, 282, 570, 332, 543, 570, 332, 267, 18528, 616, 10141, 339, 1734, 540, 519, 7636, 4494, 585, 2458, 13846, 7943, 689, 1657, 543, 27556, 5982, 10630, 689, 519, 6531, 4494, 2630, 267, 6606, 282, 681, 332, 267, 18528, 568, 519, 2992, 766, 540, 519, 7636, 4494, 585, 27556, 5982, 689, 2630, 282, 543, 570, 332, 267, 2041, 600, 568, 519, 11237, 10141, 339, 766, 630, 528, 14486, 1070, 607, 3989, 676, 7338, 543, 853, 600, 5886, 2073, 540, 519, 7636, 4494, 585, 10630, 5982, 689, 519, 6531, 4494, 2630, 547, 519, 4287, 540, 9682, 267, 543, 4586, 305, 272, 568, 519, 1482, 607, 538, 15794, 752, 1696, 620, 269, 1496, 1220, 279, 267, 3830, 630, 274, 264, 4940, 634, 14009, 538, 519, 2034, 2165, 540, 3830, 630, 272, 264, 6589, 585, 2789, 18759, 1063, 519, 7745, 6531, 2361, 543, 519, 7636, 4494, 538, 7384, 2992, 766, 1813, 547, 22502, 543, 14486, 269, 901, 2789, 8086, 1198, 729, 20495, 538, 7384, 519, 2234, 4800, 602, 3123, 1152, 14486, 630, 7224, 22502, 264, 538, 519, 4505, 1353, 543, 1631, 568, 3769, 676, 4946, 519, 1482, 14009, 538, 3830, 630, 273, 1916, 3371, 649, 946, 570, 332, 267, 18528, 543, 570, 332, 267, 2041, 600, 547, 10646, 27556, 10141, 339, 766, 543, 11237, 10141, 339, 766, 282, 519, 2663, 2882, 1152, 14486, 1510, 22502, 269, 4935, 267, 519, 19349, 630, 16708, 610, 18529, 305, 264, 666, 581, 6829, 607, 5205, 912, 3602, 519, 7215, 540, 10141, 339, 1734, 543, 2992, 766, 616, 24298, 538, 7305, 476, 272, 585, 9355, 563, 8368, 476, 272, 269, 20309, 540, 3690, 18283, 1734, 543, 14484, 766, 585, 17449, 23771, 2060, 30677, 3493, 628, 540, 26018, 271, 815, 26018, 263, 16575, 264, 320, 454, 19152, 12071, 343, 630, 13126, 994, 9616, 602, 570, 332, 543, 570, 332, 267, 18528, 1331, 16559, 5982, 267, 543, 519, 11237, 6771, 570, 332, 267, 2041, 600, 568, 17033, 1813, 547, 14486, 269, 3852, 358, 271, 543, 3852, 358, 616, 519, 4287, 540, 519, 6129, 543, 519, 13156, 4287, 540, 519, 9682, 563, 307, 332, 630, 16483, 271, 267, 3852, 358, 271, 994, 293, 271, 630, 6826, 600, 13441, 994, 293, 263, 16483, 815, 26018, 271, 8358, 293, 271, 5430, 263, 394, 358, 271, 994, 307, 332, 267, 18528, 630, 16483, 271, 267, 3852, 358, 994, 293, 271, 630, 3674, 32430, 13441, 994, 11027, 296, 263, 16483, 815, 26018, 271, 267, 3852, 358, 8358, 293, 271, 454, 293, 271, 630, 3674, 32430, 13441, 994, 293, 263, 16483, 815, 476, 271, 8358, 293, 271, 454, 307, 332, 267, 2041, 600, 630, 16483, 271, 267, 3852, 358, 994, 296, 271, 630, 6826, 600, 2234, 4800, 994, 898, 568, 10423, 602, 519, 6531, 14001, 2312, 1606, 5652, 2992, 766, 19349, 568, 513, 1599, 540, 15423, 5097, 998, 519, 2178, 15423, 13829, 540, 7636, 22502, 9804, 3178, 269, 4595, 519, 7636, 22502, 9804, 3178, 568, 11201, 569, 14354, 547, 519, 8772, 1379, 540, 519, 15423, 267, 713, 1826, 540, 476, 274, 5937, 6531, 10237, 894, 1198, 568, 30050, 585, 476, 271, 269, 9262, 18725, 332, 543, 3476, 20966, 269, 4935, 267, 649, 1685, 513, 15494, 1152, 585, 2312, 1606, 5652, 2992, 766, 585, 26827, 3041, 13164, 693, 476, 271, 269, 5325, 267, 476, 271, 269, 4649, 267, 476, 271, 269, 5780, 18725, 332, 269, 4595, 6531, 620, 5523, 334, 5673, 4617, 569, 593, 15423, 538, 7298, 13164, 267, 649, 11716, 519, 15423, 13829, 538, 6531, 620, 5523, 334, 543, 3277, 547, 6531, 620, 5523, 334, 538, 26827, 3041, 7298, 13164, 607, 7522, 7171, 620, 5523, 334, 563, 6156, 566, 540, 2992, 766, 543, 10141, 339, 1734, 585, 519, 7636, 4494, 538, 3830, 630, 274, 264, 568, 3551, 269, 1717, 267, 519, 16759, 540, 7522, 7171, 6531, 620, 5523, 334, 538, 513, 7745, 6531, 2361, 568, 2864, 4101, 1813, 547, 519, 3810, 11375, 558, 15119, 2470, 540, 7745, 6531, 4610, 269, 3371, 649, 1491, 5413, 540, 2110, 24859, 13441, 7422, 689, 519, 1849, 10796, 543, 519, 3047, 781, 7101, 5050, 6052, 3590, 630, 290, 2207, 2464, 264, 6293, 10760, 593, 519, 1482, 9682, 269, 634, 1739, 6257, 875, 649, 7447, 7522, 7171, 13441, 610, 620, 5523, 334, 538, 7745, 6531, 4610, 563, 273, 269, 273, 16340, 7171, 3562, 9539, 5535, 7171, 12071, 343, 23586, 454, 595, 2207, 2464, 2488, 31302, 1283, 6361, 27408, 4380, 1877, 630, 15674, 288, 264, 10237, 894, 13441, 525, 1496, 310, 1408, 1157, 328, 1696, 620, 1421, 476, 1960, 277, 282, 700, 4141, 321, 1696, 620, 1421, 476, 1220, 276, 282, 3687, 23036, 1696, 620, 1421, 476, 1001, 272, 4940, 1717, 267, 519, 595, 2207, 2464, 29577, 9215, 288, 2110, 24859, 13441, 568, 711, 11593, 10858, 585, 7384, 519, 2312, 1606, 5652, 2992, 766, 19349, 538, 3830, 630, 274, 1070, 1141, 519, 7522, 7171, 13441, 568, 2838, 269, 898, 568, 2556, 547, 6460, 595, 2207, 2464, 29577, 13441, 547, 7522, 7171, 13441, 269, 2755, 713, 7503, 543, 519, 1071, 32242, 22822, 595, 2207, 2464, 1239, 2014, 930, 24604, 538, 938, 1505, 630, 5408, 3296, 476, 276, 1070, 1210, 595, 2207, 2464, 1239, 2636, 721, 547, 4324, 689, 519, 19250, 7347, 267, 28102, 16070, 3631, 540, 10630, 2234, 4800, 602, 595, 2207, 2464, 3096, 585, 14291, 29577, 2234, 10662, 883, 13441, 525, 563, 634, 29577, 2110, 24859, 5982, 2361, 568, 711, 4830, 689, 19706, 5982, 4610, 269, 634, 29577, 2110, 24859, 2234, 4800, 543, 13441, 616, 519, 29398, 540, 741, 19706, 3334, 936, 3859, 19706, 20966, 269, 2423, 17067, 2090, 849, 1336, 602, 29577, 2234, 4800, 543, 13441, 616, 3252, 540, 7522, 7171, 2418, 267, 543, 9695, 2409, 941, 4294, 538, 7900, 7522, 7171, 3562, 1532, 5802, 7171, 24740, 547, 17589, 9215, 288, 2110, 24859, 620, 5523, 657, 689, 7522, 7171, 2234, 4800, 7422, 1496, 324, 3052, 1421, 3687, 23036, 543, 26858, 267, 476, 2735, 275, 282, 9149, 543, 2274, 697, 517, 267, 476, 1960, 273, 282, 700, 4141, 321, 1696, 620, 1421, 476, 1220, 277, 282, 6129, 1696, 620, 1421, 476, 1220, 277, 14073, 634, 7522, 7171, 3562, 1532, 5802, 7171, 7503, 2090, 849, 2303, 602, 621, 568, 2009, 547, 1118, 29577, 3562, 5991, 5535, 7171, 7503, 269, 769, 519, 15494, 5690, 267, 649, 6460, 29577, 13441, 547, 7522, 7171, 13441, 267, 14322, 602, 519, 13441, 5223, 585, 7745, 6531, 2361, 630, 328, 4318, 1421, 7522, 7171, 13441, 674, 301, 547, 29577, 13441, 674, 289, 264, 568, 3160, 547, 513, 24018, 7077, 24733, 5537, 13441, 5223, 630, 328, 4318, 1421, 24018, 7522, 7171, 13441, 547, 24018, 29577, 13441, 3738, 607, 6829, 538, 4834, 630, 275, 320, 264, 543, 630, 275, 321, 1040, 8074, 602, 513, 2147, 13429, 729, 1031, 547, 12337, 519, 2312, 1606, 5652, 2992, 766, 19349, 538, 7745, 6531, 4610, 676, 918, 817, 1014, 990, 543, 744, 26404, 577, 4883, 1731, 990, 1547, 1358, 1336, 602, 519, 5223, 1063, 519, 1079, 476, 272, 5937, 2992, 1734, 693, 1079, 20966, 729, 513, 1434, 19406, 547, 519, 476, 274, 5937, 5223, 540, 519, 1482, 20966, 267, 4352, 519, 1079, 2992, 1734, 941, 3833, 1114, 563, 13420, 566, 630, 275, 321, 264, 585, 13441, 525, 666, 849, 581, 6829, 538, 620, 5523, 657, 538, 3830, 630, 275, 322, 994, 3602, 543, 616, 7077, 24733, 5537, 620, 5523, 657, 267, 14668, 290, 2207, 2464, 6763, 12799, 585, 595, 2207, 2464, 29577, 620, 5523, 334, 267, 543, 14668, 301, 568, 519, 6059, 7522, 7171, 620, 5523, 334, 563, 1280, 513, 2016, 3859, 1990, 523, 603, 5086, 540, 16564, 271, 267, 6531, 6824, 540, 535, 267, 543, 6531, 9804, 3178, 540, 26018, 322, 267, 519, 24018, 9215, 288, 7522, 7171, 543, 29577, 13441, 525, 538, 513, 7745, 6531, 2361, 616, 17223, 607, 513, 5276, 4999, 540, 2312, 6607, 543, 31063, 5790, 13441, 525, 607, 454, 3602, 674, 333, 263, 15184, 271, 267, 26018, 322, 264, 543, 674, 321, 263, 15184, 271, 267, 26018, 322, 264, 20301, 16057, 7522, 7171, 543, 29577, 13441, 525, 17223, 1210, 519, 15768, 3921, 3729, 10237, 894, 4483, 2203, 1496, 1805, 600, 5886, 1696, 620, 1421, 476, 2735, 279, 316, 585, 7077, 24733, 5537, 12269, 563, 634, 7077, 24733, 5537, 2203, 1939, 525, 7522, 7171, 620, 5523, 657, 585, 513, 1305, 540, 7298, 6531, 9804, 3178, 689, 476, 271, 909, 547, 476, 15647, 267, 2147, 547, 1346, 538, 519, 1699, 1413, 1575, 3349, 585, 519, 26827, 3041, 6531, 23023, 5690, 269, 634, 6531, 1216, 20256, 616, 10924, 547, 723, 513, 561, 1758, 5436, 3892, 609, 2500, 13065, 540, 476, 271, 269, 1556, 543, 2500, 8953, 540, 476, 1015, 18725, 332, 269, 1284, 8263, 513, 1216, 6531, 4494, 693, 476, 272, 1700, 273, 5998, 936, 519, 5836, 543, 4019, 606, 5836, 19915, 27399, 2992, 766, 3892, 1599, 2203, 609, 513, 2627, 2842, 3432, 540, 476, 278, 544, 4882, 269, 1284, 946, 513, 17047, 10275, 1505, 547, 12337, 29577, 620, 5523, 657, 563, 595, 2207, 2464, 17266, 31420, 14272, 2745, 9215, 288, 13478, 16577, 12071, 343, 525, 543, 1849, 10796, 630, 7704, 293, 264, 1239, 1683, 31302, 9215, 288, 2110, 24859, 13441, 630, 293, 289, 1070, 607, 1134, 607, 6531, 9804, 3178, 543, 6531, 6824, 27366, 689, 26827, 3041, 7422, 616, 10015, 730, 538, 519, 595, 2207, 2464, 2361, 540, 2070, 630, 293, 10976, 264, 1496, 10481, 1512, 1696, 620, 1421, 476, 1220, 274, 282, 3687, 23036, 1696, 620, 1421, 476, 1001, 272, 4940, 1677, 2569, 6959, 1813, 547, 6531, 11375, 558, 23189, 267, 649, 946, 519, 32568, 30714 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8864, 609, 2696, 454, 13731, 2103, 3494, 602, 1480, 7919, 666, 723, 2620, 1209, 542, 609, 2696, 998, 519, 967, 16946, 540, 519, 10513, 13336, 630, 11990, 476, 1704, 281, 2641, 267, 476, 272, 29833, 2103, 476, 277, 281, 1704, 1040, 589, 4628, 1930, 13862, 669, 31518, 693, 519, 1283, 540, 519, 2212, 849, 4564, 5289, 593, 8864, 538, 519, 669, 31518, 2203, 563, 3891, 2718, 3414, 18321, 454, 2467, 616, 2984, 538, 519, 6426, 1141, 2043, 616, 646, 4705, 998, 5132, 538, 4906, 2441, 630, 15812, 476, 276, 281, 4097, 267, 4460, 476, 1015, 281, 7367, 1040, 901, 9727, 519, 1379, 540, 5289, 1648, 547, 12115, 519, 1560, 267, 2247, 543, 9997, 267, 607, 568, 519, 3804, 540, 669, 31518, 13326, 563, 310, 7568, 902, 18830, 8771, 20154, 640, 454, 4407, 711, 2047, 26159, 669, 752, 6652, 267, 519, 6426, 29808, 1996, 25384, 25386, 2853, 543, 8900, 17035, 630, 8624, 1601, 2103, 476, 273, 281, 279, 267, 476, 272, 30227, 476, 275, 281, 272, 1040, 3245, 513, 4168, 5133, 267, 1022, 5289, 1062, 3544, 540, 19978, 3450, 1223, 581, 9763, 15891, 13124, 563, 288, 4168, 21887, 593, 932, 752, 6652, 454, 7197, 10271, 2070, 669, 752, 6652, 543, 2035, 899, 737, 12609, 543, 556, 4532, 28271, 607, 3334, 540, 8109, 7793, 6291, 602, 9114, 3544, 519, 6302, 540, 4168, 5132, 269, 1358, 949, 1294, 519, 669, 31518, 1062, 607, 22424, 26702, 609, 741, 4978, 585, 519, 1739, 4128, 912, 11771, 7149, 31072, 519, 6426, 454, 763, 669, 31518, 1062, 19674, 689, 18420, 543, 13221, 267, 711, 27403, 269, 10271, 3494, 519, 6426, 568, 519, 22265, 267, 7000, 6478, 540, 2696, 269, 20154, 2093, 12082, 538, 824, 5389, 616, 2938, 607, 14353, 610, 22801, 563, 15239, 6261, 5966, 22830, 540, 2696, 454, 295, 8114, 1143, 543, 13221, 32230, 540, 2696, 610, 519, 7122, 538, 606, 791, 5966, 267, 1875, 3146, 331, 1049, 1259, 269, 10271, 3494, 538, 513, 2123, 267, 15962, 2696, 630, 272, 3627, 476, 275, 281, 279, 264, 945, 13821, 513, 2078, 609, 1480, 7919, 630, 11990, 476, 274, 281, 1626, 1916, 3725, 4532, 28271, 543, 918, 12609, 454, 763, 14985, 540, 556, 4532, 28271, 13615, 547, 519, 669, 31518, 1062, 7526, 609, 4168, 4978, 827, 519, 1310, 5158, 269, 634, 6426, 11414, 602, 1004, 723, 1152, 835, 1272, 593, 3618, 543, 3068, 27790, 676, 2696, 1310, 2669, 630, 3891, 3691, 9749, 476, 280, 281, 2767, 1916, 2691, 782, 519, 669, 752, 6652, 616, 1930, 543, 18343, 267, 513, 1268, 568, 1767, 547, 4283, 2362, 2829, 540, 1648, 543, 9637, 269, 901, 1025, 2720, 519, 11984, 1063, 8103, 543, 2820, 6541, 538, 513, 1259, 602, 17591, 338, 4168, 18381, 827, 519, 11984, 1063, 2696, 607, 17082, 543, 8103, 607, 2813, 7919, 563, 21946, 14010, 3414, 18321, 1325, 821, 454, 13731, 2103, 3494, 602, 20778, 2501, 998, 11419, 676, 5132, 538, 4906, 2441, 4805, 1107, 711, 998, 1480, 4674, 630, 22977, 1127, 2103, 476, 273, 281, 279, 268, 280, 1040, 634, 5289, 2853, 6322, 693, 6679, 669, 752, 6652, 1223, 581, 9763, 607, 513, 1106, 540, 5667, 3058, 968, 4103, 3034, 4263, 519, 1482, 942, 267, 930, 10271, 616, 1930, 547, 10128, 1978, 2035, 689, 8109, 6138, 609, 19978, 10752, 269, 1358, 949, 1265, 1871, 538, 519, 669, 31518, 2203, 1247, 19003, 621, 998, 513, 4168, 23381, 563, 22025, 1113, 667, 13377, 689, 513, 4168, 21887, 454, 4407, 930, 10271, 616, 6899, 6220, 669, 31518, 2035, 883, 741, 5132, 267, 1034, 616, 530, 776, 540, 1761, 5289, 12178, 269, 31700, 1331, 912, 30696, 532, 593, 6679, 669, 752, 6652, 1223, 1831, 513, 1106, 540, 31561, 520, 787, 267, 11093, 5132, 538, 513, 5289, 1062, 2864, 982, 538, 2696, 543, 4906, 2441, 4805, 563, 2467, 568, 513, 9184, 5622, 1472, 1624, 738, 1648, 12879, 538, 519, 6426, 630, 5719, 17458, 16860, 476, 1240, 281, 1015, 268, 1556, 1040, 634, 669, 31518, 1062, 1223, 1930, 2576, 909, 547, 13311, 2942, 7506, 563, 21413, 20559, 618, 267, 25386, 5289, 2833, 3564, 1018, 568, 4330, 538, 519, 6426, 949, 13587, 633, 1004, 883, 18468, 4831, 10623, 527, 10752, 563, 293, 1460, 908, 593, 669, 752, 6652, 1223, 4196, 607, 24891, 883, 796, 3772, 1303, 4120, 906, 609, 8109, 10764, 610, 519, 1715, 6520, 3350, 602, 616, 693, 12918, 609, 4168, 31249, 344, 563, 5804, 713, 5133, 267, 519, 32343, 2619, 568, 547, 20741, 835, 779, 17035, 9003, 998, 19978, 2853, 899, 11755, 267, 10847, 267, 1065, 550, 766, 267, 23075, 1353, 543, 4168, 2146, 269, 6052, 7067, 2409, 13615, 547, 669, 752, 6652, 543, 824, 1965, 582, 20143, 2035, 616, 14284, 563, 25911, 3496, 10610, 267, 31522, 543, 13336, 454, 4407, 519, 476, 278, 669, 31518, 1062, 3294, 568, 711, 2047, 9619, 538, 519, 6426, 267, 23075, 1281, 3717, 547, 519, 2956, 540, 5329, 938, 1560, 267, 9997, 543, 6891, 538, 12972, 269, 2368, 4143, 2035, 1331, 912, 22512, 585, 3776, 8447, 645, 3672, 454, 5978, 2168, 4703, 616, 513, 10516, 689, 2696, 602, 1058, 581, 25374, 585, 543, 6854, 13411, 630, 272, 29833, 2103, 476, 277, 281, 866, 268, 736, 1040, 7743, 6484, 267, 3635, 543, 1964, 782, 948, 721, 1599, 5688, 958, 563, 30262, 1168, 531, 540, 519, 9650, 454, 2171, 616, 1572, 547, 581, 9927, 676, 519, 5710, 532, 540, 938, 8186, 267, 26936, 938, 4555, 547, 2696, 779, 5168, 630, 305, 30689, 476, 1321, 281, 273, 1040, 589, 2247, 13988, 609, 2696, 779, 7326, 8952, 938, 9997, 543, 6891, 2635, 563, 10817, 8973, 3776, 9839, 338, 454, 763, 6426, 4051, 338, 721, 547, 29367, 9856, 938, 12271, 267, 799, 2099, 519, 4295, 540, 938, 4664, 543, 5289, 1272, 630, 3682, 18690, 476, 275, 281, 2537, 1040, 17553, 2635, 6302, 543, 4393, 4664, 645, 7441, 1227, 2337, 721, 9921, 32375, 563, 29753, 519, 22500, 540, 519, 13336, 454, 2026, 649, 1332, 538, 2441, 267, 7907, 899, 2648, 267, 7772, 267, 4708, 267, 9639, 543, 1582, 20820, 1058, 5051, 3337, 938, 1915, 543, 875, 649, 9305, 547, 1866, 630, 29727, 520, 2103, 476, 276, 281, 2420, 268, 2537, 1040, 1452, 5613, 16138, 880, 543, 3666, 721, 32375, 563, 28308, 2287, 3776, 17583, 609, 2696, 454, 7437, 11755, 267, 1353, 543, 10847, 267, 649, 6536, 606, 15982, 2078, 609, 2696, 602, 25361, 543, 7740, 938, 9997, 630, 11990, 476, 1428, 281, 275, 268, 276, 1040, 901, 12979, 832, 543, 20383, 721, 1100, 2339, 1018, 1272, 6770, 563, 4407, 519, 669, 31518, 1062, 3091, 10578, 19320, 267, 10271, 6038, 1413, 547, 7097, 1116, 7326, 547, 1174, 519, 1950, 16799, 1063, 1560, 267, 2247, 543, 6891, 269, 3776, 2468, 2317, 2696, 2966, 891, 3344, 547, 960, 1927, 267, 543, 789, 1599, 1655, 950, 10704, 593, 13924, 269, 0, 297, 2033, 3243, 523, 568, 1634, 585, 1082, 540, 1200, 1390, 3332, 1568, 269, 2701, 814, 2854, 3670, 9089, 1519, 29233, 543, 2776, 9080, 823, 543, 21877, 269, 1879, 13629, 1200, 1101, 2185, 9089, 267, 3243, 523, 3370, 873, 26687, 3585, 269, 3243, 523, 779, 9089, 941, 5393, 2442, 1247, 1352, 729, 2713, 855, 2968, 5051, 811, 2442, 1310, 1200, 2669, 269, 13191, 3243, 523, 779, 2189, 2511, 540, 1603, 729, 13603, 909, 593, 676, 13524, 10601, 4589, 543, 1031, 538, 741, 1568, 630, 306, 12888, 22138, 1040, 2201, 5412, 476, 1626, 628, 267, 476, 10082, 276, 267, 606, 2278, 676, 519, 2012, 540, 13191, 3243, 523, 729, 4535, 538, 519, 8498, 540, 6008, 1203, 517, 540, 4789, 630, 306, 3559, 2023, 1040, 13191, 3243, 523, 729, 835, 540, 1200, 3237, 8730, 6723, 543, 18706, 18588, 3243, 523, 267, 5216, 3214, 269, 5221, 540, 519, 942, 1974, 950, 1352, 8057, 909, 267, 2947, 540, 1200, 14552, 941, 1454, 1732, 13473, 982, 13191, 269, 4173, 2560, 19651, 811, 1543, 7498, 8253, 1152, 1705, 1352, 798, 602, 1498, 267, 1352, 729, 849, 519, 1101, 29787, 547, 9192, 32069, 538, 1200, 2239, 519, 4835, 543, 5007, 5250, 540, 1915, 12462, 297, 2033, 3243, 523, 26158, 13191, 3243, 523, 11438, 713, 998, 538, 782, 540, 1200, 9089, 607, 1134, 269, 2701, 11339, 827, 3885, 2713, 538, 21621, 5468, 538, 1169, 835, 540, 1200, 9089, 630, 306, 12888, 22138, 1040, 29460, 513, 5929, 29787, 267, 729, 835, 3364, 602, 13191, 3243, 523, 1185, 538, 519, 9126, 269, 2991, 1373, 3370, 267, 1142, 540, 3243, 523, 779, 9089, 7444, 1500, 741, 1259, 909, 547, 4742, 27825, 269, 1635, 9256, 1200, 1259, 540, 6029, 2495, 543, 12416, 1352, 568, 2111, 547, 1205, 519, 1267, 538, 29144, 4606, 269, 1635, 4259, 1200, 9089, 538, 5054, 1141, 782, 1200, 3988, 1223, 9305, 267, 13191, 3243, 523, 4991, 519, 3988, 811, 27278, 609, 1018, 789, 616, 2542, 269, 5221, 540, 1200, 1259, 540, 1210, 5339, 5578, 543, 5837, 1620, 267, 1352, 17838, 1200, 9089, 883, 1945, 1100, 835, 1131, 7058, 693, 1101, 630, 310, 3430, 1040, 13191, 3243, 523, 814, 3144, 1454, 9880, 585, 519, 2511, 540, 1200, 1603, 267, 855, 10838, 519, 9880, 568, 17192, 269, 3243, 523, 568, 1767, 547, 581, 513, 968, 1962, 650, 5050, 18935, 626, 6100, 5221, 1352, 729, 2582, 782, 1200, 1272, 543, 1185, 1100, 1453, 267, 1352, 729, 2808, 547, 581, 23387, 540, 519, 1483, 4145, 538, 1272, 269, 2701, 2141, 18423, 3238, 609, 519, 2729, 540, 1200, 562, 773, 806, 543, 683, 15343, 9749, 267, 543, 547, 1200, 267, 602, 1500, 1200, 4625, 3222, 540, 519, 1483, 4145, 269, 3243, 523, 8032, 1200, 9089, 593, 1200, 2648, 540, 4207, 14364, 543, 10630, 1200, 13220, 998, 1200, 3197, 538, 1200, 9089, 630, 306, 12888, 22138, 1040, 3243, 523, 729, 513, 10404, 540, 1200, 1378, 960, 563, 12812, 1934, 547, 12260, 713, 543, 936, 835, 2929, 3594, 7476, 7457, 454, 1607, 2376, 23607, 519, 1259, 3243, 523, 28420, 2021, 538, 1200, 9089, 269, 918, 2607, 518, 19528, 602, 13191, 3243, 523, 779, 960, 568, 1419, 27226, 676, 519, 454, 297, 2033, 3243, 523, 735, 4680, 519, 1292, 16502, 267, 10906, 267, 607, 513, 9921, 543, 554, 4292, 1589, 518, 609, 519, 3483, 540, 5104, 868, 777, 3151, 10370, 29953, 781, 1490, 1662, 1145, 543, 3668, 540, 22509, 697, 269, 634, 1034, 6654, 1747, 602, 3243, 523, 1128, 1571, 713, 5104, 868, 777, 3789, 568, 950, 519, 2278, 6799, 3988, 609, 513, 6476, 1063, 519, 2621, 3056, 909, 547, 10370, 29953, 781, 7365, 267, 547, 1346, 540, 10906, 267, 3988, 1265, 602, 3243, 523, 13492, 10370, 29953, 454, 763, 1871, 540, 3332, 30431, 919, 606, 4316, 585, 8103, 547, 3035, 7104, 2208, 269, 634, 7214, 12588, 540, 1312, 2043, 543, 2950, 616, 4299, 676, 519, 2956, 8655, 547, 5339, 1568, 269, 19768, 540, 971, 2543, 2164, 538, 513, 3908, 4390, 585, 25349, 22122, 18867, 5935, 519, 11407, 540, 606, 5736, 269, 3243, 523, 538, 30541, 1836, 20475, 519, 8766, 2543, 585, 2854, 1570, 538, 1200, 2486, 998, 29233, 543, 2776, 9080, 823, 269, 634, 608, 17474, 968, 11004, 568, 1100, 18399, 899, 2542, 17373, 8711, 519, 6612, 5433, 585, 971, 606, 2534, 269, 1717, 267, 713, 7287, 666, 581, 11911, 547, 11407, 269, 3243, 523, 15225, 713, 998, 519, 2686, 20772, 602, 513, 4807, 968, 332, 755, 723, 9488, 1702, 5608, 9663, 1492, 1042, 676, 519, 5188, 540, 11543, 26256, 714, 766, 454, 763, 1272, 540, 13191, 3243, 523, 568, 513, 1360, 4277, 1650, 543, 1082, 1131, 2161, 602, 13191, 3243, 523, 7012, 1406, 899, 519, 1964, 269, 2701, 729, 606, 2296, 29787, 945, 729, 711, 1152, 3811, 855, 849, 1360, 9602, 827, 1200, 12591, 543, 15476, 906, 282, 1034, 540, 1200, 9089, 941, 711, 1930, 547, 519, 1857, 1282, 1200, 10715, 269, 2701, 729, 4535, 593, 5412, 476, 1626, 628, 540, 519, 1032, 476, 10082, 276, 267, 543, 1352, 729, 519, 18749, 1126, 547, 513, 1134, 1634, 23464, 2006, 543, 7385, 269, 13191, 729, 711, 13473, 899, 1034, 1131, 581, 282, 1352, 729, 18954, 539, 676, 1200, 4651, 269, 4173, 4651, 1185, 5458, 8021, 538, 741, 1753, 543, 713, 568, 1018, 2813, 519, 1153, 6438, 4743, 540, 519, 3243, 523, 10040, 269, 13191, 729, 513, 3339, 267, 543, 513, 9602, 1762, 14799, 855, 849, 1185, 519, 3255, 547, 2661, 1272, 538, 519, 3152, 1158, 267, 676, 519, 1569, 454, 10387, 2742, 666, 1118, 519, 5467, 1623, 12949, 1125, 609, 1200, 269, 2701, 568, 519, 1152, 1268, 538, 519, 3209, 945, 2965, 16976, 547, 1118, 936, 1776, 1915, 538, 1200, 1378, 3239, 267, 855, 1352, 779, 711, 4805, 538, 1373, 28653, 676, 24178, 269, 1656, 865, 621, 729, 609 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 585, 4227, 19842, 2566, 602, 14796, 2281, 899, 11409, 1813, 547, 606, 2333, 538, 5739, 6675, 849, 1634, 607, 1863, 18119, 269, 1717, 267, 952, 519, 21110, 3112, 1685, 5688, 958, 267, 19842, 2566, 786, 3441, 519, 11409, 563, 274, 269, 11635, 6452, 636, 1637, 454, 4407, 519, 2634, 2115, 4401, 547, 1685, 1134, 267, 7050, 4616, 540, 4401, 3536, 949, 1267, 538, 19576, 779, 2068, 269, 901, 568, 1317, 621, 666, 2014, 19842, 2566, 543, 3441, 519, 11409, 563, 275, 269, 16790, 14545, 22948, 454, 763, 4761, 1062, 568, 9277, 547, 1152, 4323, 6937, 899, 3968, 547, 2149, 519, 7911, 689, 2800, 269, 898, 849, 2337, 547, 1521, 7063, 676, 32378, 519, 1973, 540, 519, 4299, 1858, 269, 1717, 267, 3006, 267, 621, 1522, 19451, 569, 4323, 2635, 2281, 602, 616, 1644, 547, 519, 11409, 538, 519, 2634, 269, 9747, 267, 9601, 540, 971, 949, 1995, 19576, 779, 2068, 563, 32391, 11790, 2986, 19576, 779, 8376, 454, 272, 269, 4400, 932, 7995, 20946, 454, 7197, 1004, 2972, 10438, 3536, 602, 723, 1164, 8501, 543, 1282, 741, 4571, 21943, 267, 713, 666, 581, 513, 3983, 2856, 269, 3194, 2982, 602, 972, 949, 581, 513, 3095, 1063, 1164, 8501, 543, 28115, 894, 4713, 899, 19576, 779, 2068, 269, 901, 568, 1317, 1164, 8501, 666, 2014, 19473, 29912, 602, 7161, 519, 1973, 8043, 267, 791, 5338, 519, 1697, 2095, 540, 5135, 547, 519, 2634, 563, 11101, 267, 519, 4719, 17539, 540, 1978, 2043, 1522, 1118, 873, 3810, 7925, 547, 519, 5222, 540, 1164, 8501, 538, 519, 1560, 269, 4400, 8501, 666, 849, 1404, 513, 1909, 538, 11528, 6553, 543, 19842, 2566, 602, 666, 2663, 3441, 519, 2634, 11409, 563, 273, 269, 22452, 1677, 24581, 5450, 1023, 454, 26807, 5230, 8407, 666, 3441, 519, 11409, 543, 2014, 28115, 894, 4713, 899, 19576, 779, 2068, 269, 901, 2882, 22670, 543, 7601, 269, 1160, 14075, 539, 4598, 547, 873, 1813, 547, 707, 13567, 666, 16578, 19842, 2566, 543, 2569, 22006, 2157, 563, 4913, 267, 519, 4719, 17539, 540, 930, 2043, 1519, 1072, 4567, 666, 3313, 952, 789, 786, 581, 4299, 676, 891, 5230, 8407, 610, 711, 563, 274, 269, 6465, 514, 2422, 454, 7312, 4387, 1522, 21559, 513, 2493, 514, 585, 596, 267, 513, 3075, 602, 2337, 547, 2569, 8501, 2157, 547, 2087, 9025, 1072, 269, 2755, 4430, 8501, 538, 519, 1560, 666, 2014, 19576, 779, 2068, 267, 513, 9793, 2179, 2337, 547, 2226, 1591, 17011, 543, 3986, 8229, 2281, 538, 519, 2634, 563, 763, 3390, 1934, 568, 602, 2493, 514, 1522, 2539, 8501, 2157, 982, 519, 2179, 2877, 676, 519, 2634, 267, 4611, 538, 31895, 17654, 3157, 269, 1717, 267, 811, 1382, 568, 2877, 547, 1394, 713, 909, 563, 1692, 2052, 594, 16473, 19576, 779, 8376, 454, 2467, 568, 1100, 16798, 1259, 547, 2061, 713, 2068, 267, 2705, 267, 6197, 2242, 666, 948, 547, 2569, 519, 10171, 540, 621, 563, 268, 8617, 3635, 786, 948, 547, 2569, 519, 1981, 540, 3384, 519, 2068, 1317, 621, 666, 6923, 2569, 8501, 2157, 267, 8377, 267, 3092, 269, 1306, 513, 1267, 267, 596, 4465, 1406, 1995, 19842, 2566, 602, 666, 3441, 519, 22813, 2281, 563, 268, 14856, 513, 7059, 2732, 3638, 538, 14434, 267, 8324, 267, 543, 6886, 786, 1118, 596, 2635, 267, 5818, 707, 22006, 2157, 267, 543, 2569, 519, 8458, 540, 16991, 3157, 602, 666, 2014, 19576, 779, 2068, 563, 268, 3680, 6757, 1604, 602, 7472, 5230, 8407, 267, 1519, 1978, 6527, 269, 5047, 267, 2327, 596, 5077, 707, 4387, 952, 596, 5469, 2038, 4191, 547, 4383, 519, 2068, 689, 519, 12614, 1354, 621, 15583, 919, 563, 303, 1046, 8657, 779, 2068, 666, 581, 513, 3781, 332, 732, 543, 3833, 606, 13943, 4576, 269, 4706, 2038, 4191, 1331, 7411, 24948, 630, 323, 903, 874, 698, 807, 1070, 1688, 12152, 528, 693, 1964, 267, 695, 4428, 1782, 3802, 267, 16171, 540, 32376, 267, 8519, 6186, 18711, 267, 3092, 269, 4706, 1981, 2188, 1331, 1164, 8501, 2157, 267, 4598, 547, 5230, 8407, 267, 2493, 514, 946, 267, 3092, 563, 4407, 972, 616, 1100, 16798, 2081, 547, 2061, 621, 267, 1978, 6197, 2242, 899, 2834, 3635, 267, 4189, 513, 7059, 2732, 267, 9319, 513, 6757, 1604, 267, 1978, 6527, 267, 543, 17874, 519, 4387, 585, 2126, 540, 2038, 1129, 4191, 540, 519, 2068, 267, 543, 824, 2838, 5796, 666, 2569, 519, 1981, 540, 3384, 621, 563, 268, 3619, 28856, 595, 294, 267, 570, 559, 2917, 7460, 267, 1744, 10762, 2006, 22804, 267, 1696, 620, 269, 11873, 13081, 5980, 17898, 29107, 14469, 540, 519, 1133, 1881, 19576, 779, 8376, 28951, 17361, 630, 300, 9169, 268, 16810, 11403, 306, 2567, 4336, 6881, 543, 3714, 574, 13011, 4152, 2164, 630, 10059, 2517, 335, 889, 4364, 8542, 322, 6798, 8542, 27476, 8542, 8811, 10993, 270, 5002, 28796, 10019, 270, 1040, 20176, 2598, 867, 269, 476, 1220, 279, 282, 2537, 263, 1428, 2567, 18891, 280, 268, 24241, 271, 563, 268, 30110, 2041, 22244, 267, 2274, 344, 2023, 9460, 269, 5020, 19104, 538, 19576, 2068, 630, 10059, 2517, 335, 889, 4364, 8542, 322, 6798, 8542, 27476, 8542, 8811, 10993, 270, 24062, 279, 1724, 10170, 270, 1040, 27096, 344, 269, 476, 1001, 279, 282, 11011, 263, 2420, 2567, 4200, 272, 268, 4200, 273, 563, 268, 2098, 2378, 541, 590, 267, 962, 5417, 534, 777, 644, 328, 9399, 269, 19576, 8376, 630, 10059, 2517, 4178, 8542, 322, 6798, 8542, 27476, 8542, 8811, 10993, 270, 9248, 21610, 289, 298, 30420, 4350, 270, 1040, 1496, 24993, 476, 1708, 272, 4119, 476, 1556, 4940, 769, 281, 6465, 303, 792, 3149, 1496, 25542, 4940, 7066, 5501, 6816, 630, 14566, 2567, 6465, 303, 792, 3149, 14539, 282, 476, 1708, 273, 3967, 268, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5991, 2180, 268, 630, 528, 5045, 268, 264, 7178, 519, 4287, 610, 22315, 15304, 4571, 3118, 1063, 7178, 543, 5087, 29891, 630, 528, 5045, 29891, 1040, 4639, 17121, 2475, 519, 7262, 851, 540, 24607, 563, 292, 22029, 281, 31643, 535, 269, 717, 32508, 454, 23682, 5112, 2296, 4938, 629, 269, 2843, 508, 7549, 4736, 32553, 18775, 9686, 4736, 24012, 13953, 25602, 4709, 15671, 20434, 13953, 4736, 24012, 13953, 11012, 6459, 13833, 3522, 4814, 9841, 269, 476, 1001, 273, 0, 3412, 332, 12568, 689, 519, 7216, 476, 1960, 271, 781, 1869, 5540, 3013, 2221, 269, 634, 1004, 945, 3357, 547, 3013, 689, 1114, 2477, 4547, 741, 5389, 267, 741, 3885, 267, 543, 741, 2528, 269, 1452, 1614, 1919, 12758, 609, 873, 998, 5394, 543, 6094, 543, 616, 1869, 14762, 2694, 540, 1018, 3013, 568, 2221, 269, 3509, 11082, 3357, 609, 12777, 4986, 538, 741, 22836, 543, 1185, 547, 960, 741, 1259, 547, 1967, 269, 634, 8056, 580, 7949, 15232, 676, 7338, 24747, 518, 6645, 519, 1650, 540, 8370, 1114, 11082, 262, 8062, 543, 5513, 2827, 540, 4947, 543, 2713, 538, 3013, 269, 3962, 19366, 4682, 998, 1114, 2833, 540, 4742, 1977, 855, 789, 849, 1185, 741, 10486, 269, 9050, 1919, 602, 11911, 547, 519, 21939, 540, 519, 11082, 616, 281, 1893, 267, 2724, 267, 4984, 267, 543, 20440, 563, 10376, 19366, 4810, 741, 1367, 8062, 267, 855, 789, 1869, 782, 1185, 1896, 10486, 269, 20290, 782, 540, 519, 11082, 538, 713, 1433, 3357, 547, 3013, 1510, 1373, 2111, 547, 3717, 2296, 267, 4849, 585, 519, 19366, 689, 5507, 269, 21142, 623, 787, 576, 11219, 2158, 3357, 547, 3013, 2111, 547, 3717, 2296, 543, 713, 2322, 1864, 693, 606, 5413, 936, 519, 824, 11082, 1317, 646, 1223, 5968, 609, 4892, 269, 4746, 267, 646, 3357, 547, 3013, 1310, 646, 3964, 1010, 1603, 538, 2342, 269, 1261, 3357, 609, 2724, 543, 7326, 799, 1305, 1864, 2484, 1657, 519, 824, 11082, 563, 763, 11082, 945, 7948, 1405, 3717, 2296, 1185, 547, 1491, 5049, 543, 7017, 585, 1970, 9878, 6009, 1317, 789, 1223, 711, 5968, 609, 741, 20148, 525, 269, 1403, 789, 14201, 1405, 2324, 585, 2576, 3116, 267, 789, 8875, 3293, 741, 1378, 1870, 269, 5261, 21238, 267, 519, 9721, 19366, 267, 729, 6659, 676, 513, 20516, 945, 11262, 1200, 1378, 1870, 269, 901, 1500, 621, 513, 2370, 4443, 585, 1864, 547, 1265, 513, 2816, 267, 543, 3142, 538, 2724, 269, 808, 2483, 1862, 1647, 540, 1957, 4429, 1862, 25567, 320, 543, 2713, 1934, 1500, 873, 1977, 269, 1809, 267, 789, 782, 4547, 936, 741, 1378, 5389, 543, 2528, 602, 1869, 1860, 3885, 2221, 269, 4892, 782, 723, 519, 9018, 17711, 23541, 267, 855, 1142, 24113, 3330, 568, 1114, 269, 634, 30637, 1118, 519, 631, 1299, 631, 781, 1018, 789, 616, 269, 634, 9018, 5920, 568, 519, 1482, 855, 519, 27808, 2497, 568, 711, 269, 634, 30637, 798, 711, 1860, 519, 1259, 519, 631, 1299, 631, 5654, 855, 789, 2386, 798, 1860, 519, 1259, 789, 6492, 563, 9202, 942, 596, 979, 547, 3548, 606, 631, 1299, 631, 1589, 827, 1018, 3013, 568, 269, 1772, 621, 513, 1895, 540, 1004, 945, 616, 782, 519, 1482, 543, 723, 598, 11526, 547, 1142, 824, 865, 602, 596, 3112, 10646, 835, 689, 1776, 286, 2107, 568, 3013, 899, 513, 12826, 540, 24113, 631, 1299, 631, 781, 1141, 596, 666, 1294, 875, 1169, 835, 568, 2147, 855, 1142, 1367, 568, 1114, 593, 519, 3330, 286, 1358, 949, 1413, 1977, 269, 1358, 949, 957, 1977, 269, 1358, 949, 1360, 1134, 581, 1977, 267, 855, 789, 3112, 10714, 741, 22693, 5072, 563, 23921, 5675, 6435, 888, 7476, 5955, 593, 8239, 267, 9355, 267, 6677, 1707, 543, 7954, 14678, 5861, 515, 1188, 707, 1957, 19314, 268, 1548, 1281, 621, 1611, 547, 581, 1977, 269, 898, 666, 581, 513, 834, 2903, 539, 257, 2243, 713, 1554, 543, 2085, 267, 543, 519, 2626, 786, 4268, 4470, 593, 7247, 596, 2307, 269, 594, 993, 8348, 547, 914, 602, 621, 1131, 581, 2182, 547, 1205, 513, 13618, 1256, 538, 513, 1507, 1895, 899, 938, 1362, 269, 594, 14353, 602, 781, 1317, 519, 2626, 568, 8032, 676, 1082, 2009, 4632, 269, 17323, 281, 7316, 596, 10460, 519, 2243, 786, 1100, 8969, 1764, 519, 2626, 596, 1205, 269, 589, 1268, 538, 1715, 3840, 4975, 786, 1034, 2693, 723, 513, 1114, 5133, 982, 267, 2161, 267, 2576, 689, 27293, 267, 17665, 2807, 1496, 15912, 281, 3013, 2639, 278, 1556, 1913, 630, 273, 3817, 994, 268, 11374, 519, 476, 6245, 271, 779, 267, 519, 1158, 3459, 547, 10929, 519, 1101, 5933, 540, 14051, 269, 18831, 543, 9082, 267, 945, 267, 2394, 1631, 267, 941, 18923, 4448, 267, 1631, 1336, 2933, 12543, 538, 513, 4541, 27723, 23401, 513, 2518, 8498, 269, 6736, 519, 4998, 1242, 3239, 540, 23274, 543, 7015, 3125, 713, 949, 3100, 547, 2303, 267, 519, 4641, 729, 1152, 7130, 543, 1253, 6412, 269, 26790, 547, 1007, 3338, 2968, 513, 2484, 811, 2352, 26035, 267, 607, 32164, 7847, 689, 1114, 6082, 3357, 547, 581, 9763, 607, 5051, 4914, 269, 769, 519, 3043, 26730, 3990, 2486, 540, 519, 2136, 2276, 1282, 519, 3735, 476, 866, 628, 543, 2038, 476, 736, 628, 5553, 267, 519, 1152, 1259, 547, 5963, 1293, 13951, 607, 1977, 729, 547, 1831, 968, 19009, 892, 2807, 1496, 15912, 281, 7819, 1145, 267, 14051, 267, 11776, 2639, 8182, 273, 1913, 630, 275, 269, 277, 3817, 994, 268, 634, 2136, 2276, 3112, 6488, 547, 6336, 519, 2804, 12374, 602, 2097, 689, 19366, 4074, 269, 634, 4346, 1131, 581, 7092, 513, 3152, 2530, 952, 621, 14201, 1406, 585, 11082, 543, 741, 4074, 7418, 267, 2523, 1282, 519, 476, 1220, 279, 772, 2529, 269, 21748, 269, 634, 772, 2529, 269, 4346, 1131, 1034, 2693, 22009, 952, 621, 14201, 1406, 585, 519, 2178, 4074, 3196, 11082, 723, 3177, 713, 2197, 269, 6736, 519, 6140, 2942, 5784, 5065, 23899, 4892, 723, 2509, 11082, 543, 519, 4346, 267, 741, 2178, 6041, 538, 519, 4074, 4229, 5170, 2221, 2807, 1496, 15912, 281, 2804, 12374, 267, 19366, 3196, 2639, 14096, 274, 1913, 630, 274, 269, 277, 3817, 994, 268, 589, 23658, 11857, 666, 2874, 540, 1022, 1507, 1895, 3544, 519, 3844, 610, 1883, 5354, 1895, 269, 634, 2516, 666, 2039, 689, 606, 6896, 6760, 1895, 267, 547, 606, 7489, 1977, 1895, 267, 547, 513, 3909, 1895, 267, 547, 1256, 513, 20361, 773, 1209, 324, 269, 634, 1292, 1445, 540, 713, 1770, 568, 519, 19366, 23658, 30743, 269, 634, 19366, 23658, 11857, 602, 568, 4742, 811, 28125, 1169, 1554, 538, 519, 2136, 2276, 568, 519, 11204, 4892, 269, 11204, 4892, 723, 1082, 3909, 5389, 267, 18428, 267, 9821, 267, 607, 1134, 607, 1148, 543, 2575, 3029, 269, 1703, 616, 849, 1585, 2686, 5389, 2807, 1496, 15912, 281, 9177, 23378, 14695, 272, 1913, 630, 274, 269, 277, 3817, 994, 268, 476, 272, 269, 5681, 3405, 1125, 519, 1292, 1448, 540, 713, 12558, 593, 634, 9452, 540, 1977, 5398, 4065, 4534, 5398, 1196, 25934, 568, 835, 540, 519, 1034, 1713, 543, 4652, 31944, 10781, 538, 1977, 1686, 269, 634, 1292, 1448, 540, 519, 1101, 3381, 729, 547, 1397, 519, 21951, 875, 2484, 1857, 3506, 723, 2097, 543, 875, 2484, 789, 1869, 991, 547, 979, 269, 476, 273, 269, 1548, 2797, 2621, 3576, 1747, 602, 12936, 1857, 2069, 1282, 713, 5736, 269, 4534, 2368, 540, 519, 1883, 2797, 2621, 2921, 1747, 1282, 713, 5736, 941, 634, 4279, 3427, 13891, 919, 267, 634, 15740, 6426, 681, 328, 1824, 540, 476, 7277, 274, 3366, 676, 3627, 670, 7676, 338, 267, 476, 7277, 280, 21662, 5480, 2013, 267, 538, 476, 6977, 276, 513, 1876, 729, 5293, 13373, 5109, 5302, 2958, 725, 568, 12590, 267, 543, 2063, 855, 711, 2547, 519, 476, 6977, 275, 9466, 5288, 2807, 1496, 15912, 281, 1153, 267, 19052, 22988, 267, 19366, 2639, 6977, 278, 1913, 630, 276, 269, 274, 3817, 994, 268, 634, 7972, 538, 519, 8473, 1063, 6792, 543, 519, 2136, 2829, 723, 1044, 2810, 6385, 538, 519, 2250, 8717, 269, 634, 28896, 723, 23060, 2094, 476, 1960, 279, 1813, 547, 519, 2333, 540, 10665, 29862, 543, 8473, 2113, 10560, 1436, 269, 634, 1267, 568, 519, 23799, 9084, 540, 519, 27436, 2095, 547, 811, 5906, 543, 6552, 2127, 971, 607, 7013, 14151, 269, 4634, 1498, 519, 1297, 540, 11082, 945, 2119, 547, 3444, 519, 8473, 814, 8519, 267, 519, 1297, 540, 28896, 5170, 547, 2333, 269, 8056, 580, 7847, 786, 711, 3247, 4947, 8259, 519, 3510, 538, 741, 2477, 2242, 543, 609, 513, 811, 6870, 8473, 267, 789, 786, 1413, 585, 811, 6552, 2127, 547, 2119, 547, 3444, 2807, 1496, 15912, 281, 7330, 6792, 27079, 267, 19129, 29729, 8056, 580, 7847, 2639, 5197, 273, 1913, 630, 276, 269, 272, 3817, 994, 268, 3267, 1809, 538, 1082, 4025, 972, 729, 17181, 538, 2596, 2238, 971, 607, 10918, 610, 11504, 1153, 269, 769, 10034, 267, 789, 941, 1152, 547, 979, 856, 10918, 835, 1554, 513, 3018, 269, 4256, 1453, 2322, 538, 5302, 27935, 3506, 609, 519, 3979, 1977, 1453, 269, 4438, 519, 476, 5908, 271, 781, 2797, 9993, 941, 2322, 538, 1747, 711, 1152, 547, 3970, 547, 3409, 2924, 2016, 547, 873, 3842, 15114, 855, 849, 547, 2149, 741, 2244, 269, 634, 2229, 10645, 6634, 540, 14143, 540, 1018, 729, 2899, 11204, 24804, 2244, 585, 2933, 269, 1133, 325, 13399, 547, 519, 1876, 610, 1893, 972, 729, 4986, 519, 11082, 1223, 798, 1996, 519, 4892, 2807, 1496, 15912, 281, 11082, 267, 13314, 267, 2197, 267, 1071, 558, 617, 885, 2639, 13647, 276, 1913, 630, 274, 269, 273, 3817, 994, 268, 26790, 814, 11478, 1472, 519, 1158, 585, 5553, 267, 5756, 267, 543, 3769, 7366, 540, 4529, 269, 570, 1600, 540, 6710, 267, 513, 3668, 540, 3255, 267, 21376, 2126, 267, 2797, 13313, 267, 543, 15877, 1022, 3903, 267, 1082, 4956, 547, 32164, 3433, 689, 741, 2197, 540, 4332, 547, 3343, 1007, 3255, 543, 513, 1007, 543, 1732, 1272, 538, 1776, 2197, 267, 547, 7017, 513, 2104, 585, 741, 3885, 267, 547, 960, 2182, 543, 7118, 513, 1747, 538, 1272, 269, 1306, 519, 4182, 540, 519, 3255, 267, 2244, 540, 519, 9909, 267, 543, 1317, 540, 922, 5748, 540, 513, 1732, 267, 811, 3160, 1158, 585, 782, 267, 519, 2136, 2276, 540, 3013, 814, 1044, 513, 1448, 540, 4126, 585, 1082, 540, 1346, 1004, 2807, 1496, 15912, 281, 1977, 8056, 580, 7847, 2639, 26604, 275, 1913, 630, 278, 269, 279, 3817, 994, 268, 3245, 519, 942, 18332, 19090, 1101, 15354, 538, 3013, 9551, 775, 729, 1305, 282, 519, 1004, 4955, 7992, 547, 713, 2244, 1131, 581, 519, 6117, 3196, 538, 5329, 713, 10315, 6422, 538, 1082, 3344, 269, 8056, 580, 7847, 21945, 538, 3013, 538, 519, 2063, 15823, 1296, 6157, 616, 711, 606, 9868, 547, 713, 9551, 775, 269, 634, 1804, 27614, 540, 11082, 547, 3013, 814, 1185, 513, 1390, 1297, 540, 3309, 2360, 602, 723, 8032, 938, 2197, 883, 1018, 621, 568, 2221, 269, 769, 1769, 540, 519, 2063, 3368, 10601, 267, 11082, 723, 5280, 7903, 519, 20281, 31023, 267, 4683, 1125, 4872, 538, 519, 7532, 267, 3715, 4074, 3906, 267, 4853, 1125, 519, 4346, 267, 7119, 8362, 538, 6214, 267, 543, 3142, 538, 2686, 4763, 2807, 1496, 15912, 281, 9502, 10749, 2639, 4489, 273, 1913, 630, 276, 269, 276, 3817, 994, 268, 10787, 1067, 267, 11572, 645, 1601, 267, 543, 8056, 580, 7949, 15316, 1004, 689, 519, 3735, 13524, 2540, 4371, 3309, 8369, 593, 2797, 2152, 540, 519, 1554, 269, 634, 2707, 540, 713, 4763, 729, 1419, 1813, 547, 8795, 10080, 891, 1004, 4810, 269, 8422, 3982, 2516, 540, 1004, 616, 519, 8105, 1362, 267, 519, 2797, 20148, 525, 267, 543, 519, 11082, 267, 945, 23953, 883, 519, 2197, 899, 606, 13417, 31463, 762, 6360, 269, 1452, 2516, 540, 1004, 849, 6719, 519, 1514, 32756, 540, 519, 1007, 2486, 267, 799, 1185, 1175, 7153, 689, 4028, 22713, 2807, 1496, 15912, 281, 1977, 3778, 2639, 31634, 1913, 630, 273, 269, 278, 3817, 264, 0, 268, 634, 10872, 814, 5280, 1118, 13241, 5396, 3078, 1353, 3681, 585, 782, 1053, 609, 513, 1808, 1445, 593, 8716, 811, 4775, 1053, 563, 268, 8479, 1004, 689, 13998, 27797, 10080, 723, 1044, 2016, 2318, 1909, 3631, 998, 519, 29013, 10872, 563, 303, 1575, 2812, 9907, 476, 1556, 268, 1240, 538, 835, 540, 519, 30529, 2127, 540, 519, 5177, 616, 8391, 4052, 543, 2883, 1489, 7064, 547, 513, 11450, 1063, 1286, 20536, 16110, 543, 7917, 1849, 871, 3427, 563, 28275, 538, 476, 1001, 273 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 547, 621, 563, 4913, 267, 972, 616, 1896, 2147, 3280, 532, 4408, 602, 1223, 581, 1031, 607, 8925, 563, 4322, 1331, 3798, 7431, 267, 3798, 8205, 267, 3798, 1889, 324, 267, 3798, 1889, 320, 267, 3798, 1889, 267, 3798, 1889, 267, 3798, 2742, 267, 3798, 6511, 267, 3798, 3000, 320, 267, 3798, 3000, 807, 267, 3798, 12107, 320, 267, 31611, 320, 267, 543, 3798, 332, 7701, 563, 763, 2012, 3798, 3000, 807, 568, 7184, 12082, 538, 5289, 1686, 543, 2528, 267, 543, 922, 2495, 568, 2407, 540, 5583, 543, 6667, 563, 2005, 568, 513, 12576, 547, 2141, 11441, 585, 2208, 267, 547, 581, 12703, 543, 29752, 267, 543, 547, 2760, 6336, 8289, 540, 707, 3483, 563, 3383, 267, 952, 596, 1616, 547, 8956, 707, 6561, 543, 1265, 5289, 5583, 538, 707, 1272, 267, 1413, 1100, 2417, 982, 519, 2012, 3798, 3000, 807, 563, 12648, 713, 1702, 543, 946, 621, 547, 1118, 2318, 2242, 538, 707, 1272, 267, 543, 946, 621, 547, 3914, 1007, 15627, 543, 11886, 707, 5207, 3483, 269, 0, 10890, 13103, 267, 28824, 1072, 3604, 5532, 547, 1514, 267, 2804, 267, 543, 2825, 11393, 267, 616, 513, 2565, 6161, 538, 2413, 3782, 269, 901, 2376, 7710, 519, 22225, 540, 1072, 13103, 2257, 267, 12077, 5198, 267, 14940, 267, 543, 14227, 4567, 630, 306, 2464, 1070, 543, 741, 1764, 593, 1072, 4093, 563, 303, 650, 1513, 540, 2657, 2598, 1706, 885, 3163, 912, 763, 1101, 30361, 267, 5198, 543, 14940, 267, 616, 5701, 607, 513, 1514, 4020, 602, 3648, 7506, 2043, 685, 5030, 2833, 269, 1452, 11008, 31907, 267, 1759, 593, 26737, 267, 2992, 519, 1514, 15796, 540, 1569, 547, 1379, 267, 5763, 267, 543, 4316, 269, 23532, 640, 267, 593, 519, 824, 1688, 267, 4016, 547, 6626, 2686, 7215, 538, 1978, 13664, 4525, 563, 763, 2034, 30361, 267, 590, 2464, 267, 4016, 547, 1367, 267, 7622, 267, 610, 1920, 2861, 1514, 543, 2804, 2990, 269, 13722, 590, 2464, 568, 9244, 5532, 609, 1072, 4093, 267, 543, 8309, 547, 1072, 13103, 998, 3908, 2200, 543, 3255, 547, 4497, 538, 1072, 1790, 668, 7627, 2238, 563, 14737, 528, 640, 15789, 543, 4256, 10020, 912, 1103, 476, 1960, 271, 267, 519, 2817, 23941, 540, 2657, 630, 25712, 295, 264, 9250, 519, 8433, 540, 19724, 640, 15789, 269, 901, 6825, 513, 1713, 1847, 2509, 20547, 1072, 13103, 269, 901, 11036, 6322, 547, 3986, 25318, 1072, 21876, 543, 2569, 7292, 543, 6803, 3604, 538, 24896, 543, 9019, 269, 5015, 267, 538, 476, 1001, 271, 267, 519, 23626, 540, 519, 2817, 4659, 593, 19724, 640, 2657, 543, 2657, 2598, 1706, 885, 630, 301, 8379, 8461, 264, 729, 547, 1291, 543, 11282, 1382, 609, 782, 22078, 295, 9988, 269, 4256, 3804, 729, 547, 2087, 519, 1072, 540, 782, 7292, 543, 6803, 12102, 2516, 543, 17215, 27797, 2043, 269, 901, 8561, 593, 12102, 3292, 9727, 513, 7029, 547, 5466, 1072, 13103, 693, 741, 2707, 269, 898, 849, 8711, 519, 2956, 540, 6098, 267, 1239, 12454, 7341, 538, 1072, 6364, 6454, 563, 10890, 24054, 607, 606, 1306, 2869, 1049, 25779, 912, 10890, 9698, 267, 519, 2856, 602, 3025, 1058, 723, 513, 4023, 4316, 547, 12492, 741, 2407, 1072, 1761, 267, 568, 606, 8321, 1049, 3804, 538, 1072, 13103, 2257, 269, 898, 3340, 11558, 1851, 1072, 1949, 267, 19353, 267, 2550, 267, 543, 2950, 269, 5047, 267, 621, 11498, 3564, 4227, 13103, 547, 2870, 513, 1072, 5829, 5251, 602, 5849, 3025, 814, 1569, 547, 519, 2200, 543, 3255, 2556, 547, 3035, 6099, 1072, 563, 763, 7984, 11765, 540, 10312, 538, 2657, 2598, 1706, 885, 3163, 912, 8601, 519, 2956, 540, 824, 10832, 540, 8589, 5314, 543, 1514, 21876, 540, 1072, 267, 1072, 13103, 1382, 1590, 2611, 5059, 593, 5198, 543, 14940, 543, 590, 2464, 269, 898, 568, 2565, 547, 2697, 543, 2232, 519, 1808, 6127, 998, 799, 1072, 13103, 6414, 543, 547, 1020, 6098, 7459, 267, 2362, 7779, 4791, 1416, 267, 543, 4507, 5466, 519, 3309, 2115, 1369, 543, 2066, 27797, 2950, 269, 0, 1103, 21244, 6019, 267, 19578, 267, 519, 7029, 547, 4509, 513, 1164, 27330, 267, 544, 7927, 267, 543, 6299, 7578, 630, 12613, 305, 264, 12674, 2557, 6763, 607, 513, 22294, 538, 17420, 1857, 1072, 269, 2060, 513, 14942, 1935, 547, 31331, 267, 21244, 6019, 5036, 606, 1383, 585, 2950, 18487, 538, 519, 6370, 1996, 28824, 3676, 563, 309, 3147, 1588, 3788, 835, 540, 519, 1034, 2500, 1857, 1072, 7459, 267, 3648, 4227, 519, 11841, 540, 11763, 3676, 543, 741, 2404, 8374, 269, 634, 631, 17307, 6669, 267, 538, 1880, 267, 3091, 4027, 1996, 27330, 267, 544, 7927, 267, 543, 6299, 7578, 267, 1614, 3810, 21380, 3676, 609, 519, 1761, 585, 3978, 1072, 4539, 563, 300, 6702, 718, 6019, 779, 4400, 631, 17307, 17261, 1588, 15580, 454, 306, 15856, 730, 538, 519, 2295, 540, 19578, 267, 21244, 6019, 19646, 513, 3309, 2551, 543, 513, 7347, 3782, 5989, 269, 4706, 11428, 547, 5009, 12674, 9356, 513, 14942, 1935, 547, 1857, 1072, 563, 14294, 881, 766, 540, 4400, 631, 17307, 17261, 1588, 15580, 281, 634, 1164, 631, 17307, 12674, 2557, 538, 21244, 6019, 5713, 607, 513, 4439, 342, 1046, 1996, 1761, 17061, 540, 27330, 267, 544, 7927, 267, 543, 6299, 7578, 269, 634, 10315, 20964, 513, 8825, 11064, 602, 7182, 519, 3262, 540, 891, 3676, 676, 4180, 513, 1804, 8167, 540, 519, 2551, 568, 6375, 1242, 563, 25842, 593, 5398, 2657, 454, 7093, 3685, 540, 2725, 553, 956, 267, 631, 7927, 267, 543, 11676, 7578, 281, 631, 17307, 12674, 711, 1152, 14014, 2043, 855, 849, 11151, 519, 6771, 540, 27330, 267, 544, 7927, 267, 543, 6299, 7578, 1369, 519, 2146, 269, 901, 23636, 12046, 1198, 568, 2629, 585, 7925, 5095, 267, 971, 607, 1762, 1453, 267, 11361, 2043, 267, 543, 1346, 609, 19847, 4761, 1949, 563, 15463, 323, 16332, 640, 543, 922, 10020, 281, 4173, 323, 12046, 4386, 950, 513, 1713, 6712, 540, 519, 2551, 568, 4761, 547, 513, 2068, 267, 4227, 519, 10171, 540, 922, 3262, 269, 21244, 6019, 779, 1164, 631, 17307, 12674, 2557, 8309, 547, 23636, 12046, 267, 1818, 621, 1447, 2693, 585, 17061, 547, 2049, 543, 7863, 1346, 945, 3112, 581, 18764, 563, 26322, 22580, 543, 4065, 454, 30874, 2146, 6278, 543, 2069, 11044, 1404, 513, 11358, 1909, 538, 5009, 12674, 10343, 269, 3414, 23793, 3292, 267, 21141, 7886, 267, 543, 5698, 609, 2199, 8639, 267, 21244, 6019, 11942, 513, 2528, 540, 12674, 4656, 543, 10343, 563, 16966, 547, 16195, 7896, 454, 16966, 1043, 3782, 2533, 2327, 602, 7264, 723, 10375, 3255, 547, 4309, 25750, 269, 21244, 6019, 3922, 3278, 3782, 10333, 267, 609, 12674, 19190, 267, 5985, 23793, 4559, 267, 543, 12352, 609, 3782, 7426, 547, 4894, 7496, 547, 31331, 563, 11754, 7675, 28404, 31928, 527, 3599, 454, 8601, 519, 8810, 2640, 540, 12674, 267, 6669, 11688, 527, 3599, 26251, 538, 930, 2950, 269, 21244, 6019, 15359, 1206, 713, 4161, 2212, 6823, 676, 5466, 4145, 267, 3246, 4977, 1344, 267, 543, 5807, 1930, 5188, 609, 6669, 268, 1127, 26938, 2043, 563, 291, 7371, 2454, 3733, 2195, 543, 16700, 15574, 454, 23382, 520, 1154, 25749, 4478, 10074, 568, 2629, 585, 4509, 1857, 3972, 543, 6015, 538, 31331, 269, 21244, 6019, 8362, 21697, 543, 9607, 4145, 1644, 547, 12674, 2557, 267, 14139, 2963, 2861, 20261, 543, 23712, 609, 11967, 3782, 4648, 547, 7006, 601, 14868, 543, 1683, 4977, 1344, 827, 6669, 3106, 543, 12117, 269, 1635, 26724, 2069, 543, 23793, 3646, 267, 21244, 6019, 6663, 547, 2333, 12674, 3928, 543, 2327, 7839, 4027, 1996, 28824, 3676, 563, 763, 10020, 540, 6554, 543, 16195, 3038, 11107, 454, 30025, 4507, 543, 6042, 1404, 513, 4105, 1909, 538, 5009, 12674, 19718, 543, 4180, 6669, 8244, 269, 21244, 6019, 1568, 538, 512, 30802, 609, 1533, 543, 5313, 8041, 547, 2936, 2500, 31331, 4507, 543, 6042, 602, 4225, 1857, 1072, 563, 10890, 3249, 28968, 685, 31197, 454, 10890, 3249, 4648, 4196, 607, 11967, 2959, 540, 1344, 543, 15156, 585, 12674, 269, 769, 21244, 6019, 267, 3782, 7426, 1404, 513, 14942, 1909, 538, 5009, 31331, 267, 5356, 5583, 267, 5466, 4145, 267, 543, 10771, 519, 2956, 540, 12674, 1282, 6296, 3782, 11564, 563, 300, 6702, 718, 6019, 779, 1164, 631, 17307, 12674, 2557, 28837, 519, 2146, 779, 7029, 547, 7863, 1857, 1072, 543, 7303, 519, 3262, 540, 11763, 3676, 269, 3414, 14942, 3646, 538, 2146, 6278, 267, 2069, 267, 543, 3782, 10333, 267, 21244, 6019, 5036, 513, 3044, 585, 12674, 17284, 267, 4180, 513, 10930, 543, 8902, 2104, 585, 922, 7264, 563, 3963, 568, 12674, 1271, 585, 1857, 1072, 888, 309, 3147, 1588, 14014, 2043, 543, 2950, 689, 519, 3262, 540, 11763, 3676, 267, 4227, 4576, 267, 8374, 267, 543, 9019, 3928, 563, 3674, 519, 631, 17307, 6669, 2922, 888, 8133, 267, 3573, 1382, 543, 5464, 723, 7152, 519, 3106, 543, 12117, 540, 519, 631, 17307, 6669, 538, 7303, 27330, 267, 544, 7927, 267, 543, 6299, 7578, 563, 1432, 568, 23636, 12046, 267, 543, 1946, 568, 621, 1271, 888, 15463, 323, 12046, 4386, 950, 513, 1804, 8167, 540, 513, 2551, 568, 4761, 547, 513, 2068, 267, 4227, 922, 6771, 543, 7863, 7925, 2043, 945, 3112, 581, 18764, 563, 1692, 666, 2950, 2232, 6669, 11688, 527, 3599, 888, 15973, 885, 666, 2232, 6669, 11688, 527, 3599, 998, 2069, 267, 1930, 5188, 267, 543, 3246, 4977, 1344, 827, 10074, 685, 3106, 543, 2640, 563, 8489, 666, 594, 1205, 18764, 1996, 27330, 267, 544, 7927, 267, 543, 6299, 7578, 888, 309, 3147, 1588, 1996, 27330, 267, 544, 7927, 267, 543, 6299, 7578, 568, 2139, 693, 3782, 6703, 267, 19190, 267, 543, 998, 1857, 1072, 7341, 538, 21244, 6019, 543, 3564, 563, 5649, 811, 281, 3600, 928, 9615, 0, 2750, 947, 633, 946, 540, 13819, 593, 5904, 267, 14342, 267, 5100, 11436, 267, 543, 824, 3457, 666, 1267, 538, 3750, 8833, 269, 7638, 517, 3821, 11066, 267, 849, 1634, 607, 968, 19723, 517, 3821, 2060, 9050, 28438, 2223, 814, 27358, 2029, 3457, 609, 513, 1297, 540, 8924, 543, 5468, 547, 7413, 519, 8833, 269, 769, 513, 5063, 8242, 2022, 593, 519, 3131, 9469, 3427, 585, 519, 32559, 3896, 267, 11066, 3091, 930, 4388, 2854, 689, 519, 5133, 540, 513, 2852, 2875, 609, 1970, 5075, 267, 971, 607, 1210, 912, 5025, 4544, 1769, 6882, 9856, 585, 5616, 24904, 281, 9791, 1769, 968, 4754, 2014, 9854, 267, 3750, 8833, 267, 543, 20747, 787, 5075, 1848, 634, 9856, 4025, 513, 968, 342, 1301, 512, 842, 892, 936, 519, 2985, 547, 1450, 519, 3593, 547, 2070, 621, 585, 1279, 5712, 540, 942, 3248, 4211, 558, 13459, 14296, 281, 769, 11066, 685, 2013, 267, 891, 14296, 723, 513, 968, 338, 2133, 11636, 536, 604, 5914, 892, 547, 2061, 19755, 519, 2212, 950, 13156, 519, 5496, 3248, 6874, 842, 539, 14296, 281, 589, 5835, 512, 842, 267, 585, 1383, 267, 666, 2569, 3750, 8833, 563, 268, 2304, 4550, 25322, 732, 5496, 6882, 281, 589, 4837, 6882, 16304, 936, 519, 2780, 779, 6895, 666, 6882, 856, 1350, 732, 543, 1118, 1257, 4443, 547, 1294, 563, 299, 1168, 529, 849, 2488, 2143, 1344, 543, 513, 1297, 540, 4388, 827, 875, 547, 1689, 5468, 593, 1312, 15692, 543, 25515, 3457, 547, 1118, 873, 811, 3015, 267, 971, 607, 4227, 519, 968, 19009, 1448, 2223, 1210, 2681, 12086, 267, 543, 811, 269, 1280, 3606, 1344, 267, 543, 513, 968, 23087, 540, 4557, 2081, 547, 2569, 3750, 8833, 609, 2029, 2223, 1224, 519, 4062, 593, 1215, 547, 2569, 3750, 8833, 689, 13819, 269, 0, 27609, 532, 707, 2371, 585, 513, 5912, 547, 519, 13964, 3322, 1035, 743, 26305, 873, 547, 519, 1007, 2825, 2175, 7930, 269, 7427, 891, 3268, 547, 948, 707, 2371, 4188, 543, 8853, 538, 741, 1007, 9205, 4259, 912, 268, 7033, 532, 281, 14419, 519, 3617, 942, 547, 5912, 707, 2371, 13964, 1759, 593, 519, 1808, 4170, 540, 1142, 2030, 543, 519, 2199, 4365, 2175, 269, 6333, 2188, 971, 607, 15470, 7389, 267, 2837, 267, 543, 519, 15657, 540, 707, 2371, 563, 268, 10434, 523, 1055, 7930, 281, 10434, 523, 1055, 707, 11255, 2371, 676, 7930, 20392, 873, 547, 9205, 2175, 269, 3399, 676, 11093, 873, 538, 513, 1352, 2741, 1229, 1858, 13964, 585, 513, 1906, 3108, 513, 1554, 267, 7930, 2810, 519, 8653, 936, 513, 3018, 610, 1079, 269, 901, 1184, 2337, 2371, 4188, 547, 2188, 899, 7943, 267, 2837, 15088, 267, 2842, 267, 543, 11195, 563, 268, 7994, 519, 1318, 4087, 281, 8564, 606, 3617, 4087, 538, 707, 4677, 610, 9205, 2230, 585, 1142, 2030, 269, 6333, 741 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9223, 281, 769, 799, 7489, 13317, 4975, 568, 519, 623, 4973, 320, 20066, 267, 1631, 10736, 547, 513, 9754, 888, 12585, 281, 11889, 15523, 540, 561, 13757, 320, 0, 9223, 281, 834, 290, 944, 257, 568, 513, 2262, 609, 1082, 10096, 269, 4706, 2025, 2495, 568, 1031, 547, 2769, 513, 2837, 602, 568, 513, 2370, 3787, 4411, 269, 1306, 519, 1158, 2242, 267, 519, 2262, 814, 1082, 1114, 10096, 269, 834, 290, 944, 257, 666, 581, 1031, 547, 9041, 4606, 540, 1719, 538, 3592, 4376, 269, 1879, 596, 1294, 513, 4583, 1286, 538, 519, 8265, 267, 6148, 596, 786, 2161, 834, 2005, 781, 3579, 1701, 1411, 949, 1589, 267, 834, 3891, 781, 865, 3579, 2437, 950, 596, 1294, 707, 5172, 11176, 518, 269, 1284, 782, 11694, 567, 519, 2495, 540, 834, 322, 944, 2668, 1411, 666, 946, 621, 3079, 540, 1082, 1913, 971, 607, 834, 2908, 257, 610, 834, 31162, 19828, 2668, 3371, 781, 606, 4277, 1650, 649, 666, 946, 547, 1397, 519, 1259, 519, 2262, 568, 1031, 269, 589, 4116, 4280, 1200, 1053, 547, 2328, 827, 519, 1216, 6420, 269, 2201, 835, 2875, 781, 1957, 729, 1175, 519, 835, 4845, 267, 834, 2005, 781, 865, 3579, 2668, 9320, 646, 2219, 621, 729, 519, 1655, 1259, 547, 1397, 1018, 646, 4718, 543, 5433, 269, 1809, 519, 1650, 849, 2982, 513, 20317, 567, 540, 1913, 267, 621, 4667, 602, 930, 1004, 723, 1100, 1913, 547, 1397, 519, 1482, 2495, 1510, 834, 322, 944, 257, 1547, 2052, 596, 1589, 540, 1082, 824, 1913, 602, 1118, 707, 1272, 607, 10477, 607, 519, 2262, 834, 322, 944, 22172, 476, 8786, 267, 594, 666, 269, 1656, 594, 1589, 789, 616, 849, 1360, 3579, 269, 769, 519, 8574, 267, 519, 5856, 5267, 567, 602, 519, 2262, 834, 322, 944, 257, 476, 9041, 476, 4586, 288, 269, 666, 581, 1031, 3079, 540, 1082, 1913, 454, 289, 269, 949, 711, 581, 607, 3579, 607, 621, 4667, 454, 290, 269, 666, 1118, 707, 1272, 10477, 563, 291, 269, 949, 1118, 707, 1272, 3579, 454, 12585, 281, 645, 0, 454, 9223, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 8799, 2025, 10854, 14435, 6062, 2699, 19482, 21489, 834, 536, 834, 8799, 2025, 2699, 10854, 14435, 6062, 19482, 21489, 834, 15017, 476, 932, 7860, 281, 3097, 288, 269, 513, 454, 289, 269, 536, 454, 12585, 281, 645, 0, 454, 304, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 17511, 6739, 24388, 3697, 24564, 834, 536, 834, 24388, 3697, 6739, 17511, 24564, 834, 15017, 288, 281, 536, 0, 9223, 281, 1677, 1118, 9267, 18133, 7423, 8645, 1512, 543, 4418, 2678, 563, 12585, 281, 5410, 14462, 3282, 543, 25308, 21360, 547, 519, 1426, 16267, 269, 0, 9223, 281, 10576, 519, 2953, 5311, 540, 1611, 22623, 658, 19206, 585, 6566, 617, 1716, 30941, 18682, 16772, 267, 3026, 663, 1068, 1023, 267, 543, 2413, 30941, 18682, 16772, 563, 288, 269, 476, 20981, 764, 267, 476, 14338, 271, 764, 267, 476, 5611, 271, 764, 454, 289, 269, 476, 8517, 764, 267, 476, 12553, 271, 764, 267, 476, 1220, 271, 764, 454, 290, 269, 476, 14695, 272, 764, 267, 476, 16825, 271, 764, 267, 476, 13970, 271, 764, 454, 291, 269, 476, 13670, 271, 764, 267, 476, 8099, 271, 764, 267, 476, 14681, 271, 764, 454, 12585, 281, 595, 0, 9223, 281, 6904, 2112, 1654, 1181, 320, 267, 945, 5747, 538, 476, 1220, 280, 1185, 519, 28215, 1412, 763, 7831, 674, 18017, 570, 20207, 262, 888, 12585, 281, 3771, 787, 15429, 0, 9223, 281, 769, 799, 10315, 568, 2274, 2644, 16836, 454, 12585, 281, 18085, 1756, 0, 9223, 281, 1215, 547, 674, 697, 15604, 9791, 15604, 781, 2110, 2395, 616, 811, 982, 4411, 269, 1280, 1082, 1004, 267, 5162, 4965, 267, 519, 1034, 1455, 1826, 540, 17897, 531, 589, 8997, 13081, 630, 306, 4696, 1070, 568, 607, 1454, 513, 851, 540, 519, 4005, 607, 22970, 543, 10077, 1407, 269, 15604, 3978, 590, 4696, 24412, 949, 991, 2564, 2126, 269, 8409, 4743, 513, 2370, 4544, 666, 948, 2933, 676, 23578, 547, 513, 2635, 6197, 269, 3371, 616, 930, 4388, 281, 623, 864, 3054, 269, 5213, 1405, 2503, 547, 798, 3388, 596, 7363, 666, 269, 5590, 513, 10853, 8430, 269, 5213, 1405, 6432, 547, 2942, 3206, 267, 899, 1025, 5446, 3054, 610, 24584, 547, 3111, 269, 5192, 3238, 538, 2238, 602, 1118, 596, 1745, 1434, 610, 1745, 899, 596, 4312, 6913, 1945, 269, 1280, 1383, 267, 1404, 3349, 17281, 610, 3983, 332, 15586, 269, 1403, 596, 616, 4743, 20158, 267, 596, 949, 1745, 899, 9363, 2476, 689, 2828, 269, 8616, 713, 568, 513, 942, 950, 2828, 262, 1489, 666, 581, 5363, 269, 11910, 873, 5781, 269, 5457, 267, 519, 811, 649, 2322, 1055, 10912, 610, 9683, 513, 3659, 267, 519, 9875, 621, 568, 547, 25580, 513, 11505, 269, 6056, 5693, 827, 1018, 781, 4636, 610, 1318, 269, 5502, 540, 4758, 538, 547, 22394, 4606, 540, 18354, 267, 1413, 693, 707, 2042, 1843, 1947, 269, 16505, 1524, 2042, 883, 1808, 2152, 602, 596, 666, 960, 593, 269, 8617, 3635, 2337, 547, 2061, 543, 1547, 16202, 1134, 269, 5525, 1397, 602, 513, 2635, 2732, 666, 948, 547, 2226, 630, 18141, 264, 513, 2635, 1560, 543, 2247, 269, 634, 8324, 267, 6886, 543, 2890, 734, 333, 19153, 1336, 538, 7059, 2732, 949, 948, 938, 4703, 547, 3132, 1745, 3766, 797, 10399, 1547, 16639, 5627, 6464, 547, 948, 3132, 1745, 3766, 797, 10399, 1331, 20397, 267, 21429, 267, 10808, 543, 5452, 269, 16202, 693, 2547, 2947, 4773, 540, 4829, 543, 5388, 1169, 1554, 269, 623, 2529, 269, 476, 12580, 476, 540, 590, 4696, 281, 3143, 1719, 610, 12257, 538, 1919, 596, 1031, 547, 2972, 269, 16842, 991, 585, 3207, 269, 589, 1689, 538, 4189, 6208, 267, 2523, 606, 14031, 585, 6653, 610, 588, 8944, 476, 3536, 269, 13379, 2744, 589, 5230, 4743, 538, 519, 7916, 610, 7953, 589, 6749, 538, 1648, 1377, 30975, 538, 23622, 3683, 569, 3929, 3680, 766, 540, 2828, 543, 1514, 3871, 14627, 550, 4606, 540, 16203, 7043, 3856, 4606, 540, 27945, 1145, 267, 543, 2168, 2042, 267, 971, 607, 14331, 634, 8574, 2882, 519, 1739, 4849, 825, 9041, 825, 4586, 288, 269, 519, 4505, 649, 2743, 2828, 267, 519, 4443, 621, 568, 547, 25580, 513, 11505, 454, 289, 269, 952, 649, 2285, 538, 547, 15458, 4606, 540, 18354, 267, 649, 3513, 581, 9575, 538, 519, 590, 4696, 454, 290, 269, 4730, 3349, 17281, 2337, 721, 3035, 8726, 649, 1616, 454, 291, 269, 1745, 734, 16591, 10399, 689, 513, 7059, 2732, 666, 948, 513, 2635, 1560, 454, 12585, 281, 595, 0, 454, 304, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 1073, 333, 2135, 1190, 3504, 3039, 4401, 6928, 834, 536, 834, 1073, 333, 2135, 1190, 4401, 3039, 3504, 6928, 834, 15017, 288, 281, 513 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1614, 6709, 11467, 540, 606, 10759, 6306, 269, 5269, 713, 7470, 581, 8370, 676, 8370, 3515, 563, 268, 2060, 11954, 22796, 267, 22916, 976, 610, 12508, 267, 2721, 513, 1915, 3330, 519, 476, 3953, 8386, 268, 3953, 19641, 4216, 596, 1500, 269, 634, 1915, 666, 581, 1022, 1915, 596, 1616, 269, 1411, 666, 2721, 1945, 689, 707, 1378, 9345, 267, 610, 2119, 547, 5299, 606, 4540, 1915, 269, 5410, 607, 1454, 1469, 607, 2009, 547, 707, 1915, 267, 855, 1142, 18920, 666, 1152, 2270, 513, 2582, 2681, 630, 663, 1590, 581, 4625, 11954, 538, 1040, 634, 1915, 1281, 711, 723, 547, 1491, 909, 782, 476, 9083, 275, 19641, 630, 9767, 666, 4734, 930, 10145, 1040, 1879, 596, 616, 2944, 267, 875, 1281, 707, 1915, 1413, 888, 268, 4635, 519, 11954, 22796, 610, 824, 5373, 2645, 267, 2721, 707, 1915, 538, 519, 5216, 8386, 32732, 19641, 4216, 593, 519, 824, 6656, 540, 3113, 1957, 269, 8571, 519, 1482, 1915, 607, 596, 1705, 1354, 267, 3843, 547, 1832, 607, 1082, 540, 519, 3877, 519, 1482, 1063, 519, 1079, 12400, 269, 1215, 1281, 519, 1915, 1413, 593, 713, 6656, 540, 1957, 888, 268, 14424, 519, 1164, 22822, 630, 3953, 8386, 268, 3953, 19641, 264, 5373, 540, 519, 1915, 609, 519, 1970, 22822, 630, 324, 697, 8386, 32732, 19641, 264, 5373, 540, 519, 1482, 1915, 269, 6904, 5373, 814, 811, 1469, 286, 6904, 5373, 5654, 1732, 888, 15761, 571, 281, 1411, 666, 10956, 713, 2534, 513, 1906, 811, 2053, 855, 2721, 824, 3197, 267, 28749, 267, 610, 3615, 269, 3657, 707, 2164, 2141, 519, 1482, 888, 15761, 571, 281, 8347, 713, 2534, 1586, 267, 855, 713, 942, 1039, 3606, 12400, 540, 519, 1915, 693, 21368, 540, 476, 5038, 8386, 268, 5038, 19641, 543, 476, 12553, 8386, 268, 12553, 19641, 630, 8117, 1832, 519, 2949, 5373, 2450, 519, 1482, 1040, 1215, 1281, 4946, 1256, 811, 19641, 1860, 519, 1377, 540, 1469, 538, 707, 4605, 888, 15761, 571, 281, 14424, 519, 5934, 1297, 540, 19641, 621, 3217, 547, 1118, 1114, 5546, 269, 2368, 5546, 596, 666, 2119, 616, 12730, 267, 19987, 267, 6801, 267, 10580, 267, 543, 15279, 30368, 269, 3657, 1978, 5546, 4443, 982, 1866, 547, 1118, 267, 1210, 1175, 513, 1906, 19641, 888, 25332, 969, 725, 543, 11778, 454, 12441, 519, 1915, 538, 519, 2362, 22822, 4216, 630, 3953, 8386, 268, 3953, 19641, 264, 723, 811, 1469, 267, 543, 2949, 1413, 1732, 267, 982, 519, 1915, 538, 519, 2539, 22822, 4216, 630, 324, 697, 8386, 32732, 19641, 25145, 4910, 1828, 4016, 547, 519, 1297, 540, 19641, 2647, 543, 1164, 606, 3239, 568, 269, 13575, 267, 519, 2362, 6571, 606, 3239, 568, 267, 519, 811, 1469, 649, 666, 1294, 543, 519, 1732, 621, 5654, 547, 721, 269, 634, 1915, 596, 1500, 538, 519, 476, 3953, 8386, 268, 3953, 19641, 4216, 814, 811, 19641, 630, 9083, 275, 19641, 264, 3379, 547, 519, 1915, 596, 1500, 538, 519, 5216, 8386, 32732, 19641, 4216, 630, 6518, 8659, 476, 5038, 19641, 1070, 855, 789, 1058, 1312, 1491, 909, 827, 519, 1482, 2179, 540, 2230, 630, 26074, 519, 19641, 538, 519, 476, 3953, 8386, 268, 3953, 4216, 941, 1454, 4130, 982, 519, 3283, 538, 519, 5216, 8386, 32732, 4216, 1040, 901, 1797, 602, 519, 1915, 538, 519, 476, 3953, 8386, 268, 3953, 18920, 4216, 568, 2362, 6571, 543, 865, 1058, 2408, 547, 723, 811, 1469, 267, 543, 2949, 1413, 1732, 267, 982, 519, 1915, 596, 16668, 538, 519, 5216, 8386, 32732, 19641, 4216, 269, 13018, 267, 950, 3843, 547, 2721, 519, 1482, 1915, 538, 519, 5216, 8386, 32732, 18920, 4216, 596, 949, 723, 1336, 621, 729, 1360, 2352, 547, 2226, 1082, 540, 519, 3877, 689, 950, 596, 16668, 621, 538, 519, 476, 3953, 8386, 268, 3953, 18920, 4216, 267, 543, 596, 1185, 547, 1118, 9157, 3664, 827, 799, 3877, 547, 1331, 543, 875, 547, 1397, 873, 1510, 4625, 1253, 15659, 519, 3239, 563, 16485, 606, 16869, 454, 268, 634, 12472, 540, 631, 9222, 267, 689, 29458, 294, 10632, 454, 268, 623, 31242, 3203, 20861, 267, 689, 667, 699, 330, 24204, 454, 268, 8342, 267, 3163, 11242, 585, 1411, 543, 2659, 7731, 267, 689, 3163, 6844, 625, 454, 268, 634, 623, 31242, 10658, 14794, 281, 4208, 11473, 10794, 16992, 6733, 14568, 4653, 267, 689, 3163, 6844, 625, 0, 26045, 1072, 13508, 267, 610, 3797, 267, 568, 519, 2259, 540, 4543, 1004, 2232, 3929, 267, 5626, 267, 543, 22228, 2042, 269, 589, 1906, 1296, 3516, 267, 513, 3659, 5795, 803, 513, 6204, 1597, 597, 15799, 547, 2322, 538, 1250, 5604, 968, 10214, 1250, 13309, 3081, 621, 779, 707, 13337, 256, 6100, 688, 3873, 269, 898, 779, 513, 24983, 267, 540, 1576, 267, 855, 621, 12651, 930, 1271, 2152, 827, 519, 2790, 1072, 3924, 269, 634, 1292, 2243, 649, 723, 547, 2307, 568, 281, 1772, 519, 2126, 2965, 6225, 286, 1772, 519, 2790, 1072, 3924, 2870, 513, 6408, 2528, 267, 610, 798, 1004, 2965, 1205, 948, 12003, 609, 8194, 267, 7067, 3347, 267, 543, 5355, 741, 1134, 5630, 286, 2368, 1004, 1589, 649, 616, 896, 519, 3310, 968, 339, 13015, 892, 538, 938, 2197, 269, 2441, 2088, 32129, 590, 2174, 619, 543, 22123, 590, 4490, 267, 4589, 2048, 3080, 4182, 896, 2126, 8730, 15091, 602, 606, 21467, 332, 3508, 529, 593, 2790, 1072, 666, 1711, 513, 3661, 602, 649, 782, 723, 1651, 9092, 2042, 602, 4734, 721, 12225, 1227, 16981, 543, 8572, 547, 1599, 1510, 519, 948, 540, 513, 13309, 269, 1358, 2161, 912, 10527, 3797, 9299, 2478, 22371, 267, 3929, 1582, 268, 25388, 1632, 267, 543, 519, 4687, 540, 4606, 269, 898, 2882, 519, 13429, 602, 8467, 1915, 3278, 519, 1977, 6891, 2864, 982, 4222, 267, 543, 602, 7092, 568, 513, 2068, 602, 2115, 2126, 269, 634, 3797, 17648, 602, 513, 21183, 267, 1964, 1652, 267, 543, 14156, 31536, 633, 1857, 3340, 513, 3376, 2039, 540, 16293, 267, 3507, 894, 7855, 8682, 267, 16236, 24784, 267, 960, 6300, 11825, 267, 16293, 267, 543, 8194, 16293, 547, 1291, 1200, 998, 4948, 1272, 2833, 3034, 8601, 602, 267, 649, 2907, 723, 2042, 269, 2913, 779, 1413, 693, 4965, 267, 585, 1383, 269, 769, 519, 2250, 476, 736, 1296, 267, 972, 814, 1044, 513, 476, 6110, 260, 2333, 538, 24196, 656, 946, 1851, 1977, 4079, 269, 1772, 4965, 593, 519, 4473, 267, 610, 616, 3075, 3549, 3257, 14167, 6725, 286, 1684, 1004, 2731, 1745, 20158, 543, 14221, 267, 610, 723, 789, 13151, 3518, 539, 547, 519, 10788, 13319, 286, 1403, 649, 1491, 713, 1899, 540, 2219, 2417, 267, 568, 972, 606, 2333, 538, 5626, 2042, 610, 616, 972, 811, 16293, 7479, 8172, 1004, 945, 991, 948, 286, 26023, 267, 2901, 2790, 1072, 2042, 616, 593, 519, 4473, 267, 610, 9985, 8647, 1004, 616, 18617, 789, 723, 2042, 543, 991, 948, 269, 1358, 616, 2016, 6527, 543, 513, 16252, 547, 7390, 513, 15360, 563, 763, 2626, 568, 7294, 543, 519, 1655, 2626, 568, 968, 13828, 892, 2953, 269, 3502, 8209, 602, 4965, 568, 593, 519, 4473, 269, 5502, 267, 938, 4656, 540, 4965, 2799, 269, 1284, 616, 4742, 811, 3222, 540, 2790, 1072, 256, 12870, 568, 711, 1007, 269, 769, 476, 6977, 275, 267, 8361, 6424, 774, 648, 879, 7691, 602, 968, 7197, 2367, 2661, 538, 9602, 16339, 1180, 1890, 1848, 5020, 666, 4308, 721, 609, 9514, 338, 547, 799, 519, 1152, 2067, 3210, 568, 4965, 267, 4250, 267, 18354, 267, 610, 1022, 824, 18473, 3929, 1533, 269, 22628, 513, 24468, 585, 713, 568, 1360, 2147, 547, 5275, 2564, 3007, 585, 606, 4576, 602, 267, 952, 2451, 15860, 267, 786, 12115, 593, 922, 1378, 269, 1717, 267, 3478, 948, 585, 713, 11250, 909, 7067, 543, 6971, 7092, 269, 769, 519, 2250, 1896, 5756, 267, 6639, 8441, 723, 4847, 721, 547, 4194, 2565, 1072, 2042, 630, 341, 3147, 1149, 267, 11216, 267, 8441, 538, 23361, 267, 3092, 13776, 543, 723, 2016, 721, 10731, 1569, 547, 1732, 6484, 267, 2973, 1216, 267, 543, 2069, 269, 1284, 1631, 723, 811, 942, 543, 2200, 547, 1902, 538, 938, 2790, 543, 3929, 1134, 5630, 982, 2479, 1354, 269, 1306, 25414, 7605, 321, 1231, 6045, 267, 950, 649, 4194, 2539, 1377, 2042, 267, 649, 4473, 547, 513, 2362, 2298, 540, 1272, 1141, 972, 616, 849, 2362, 1377, 2042, 547, 581, 12193, 563, 3383, 9811, 267, 2126, 666, 581, 5363, 269, 6478, 968, 290, 1735, 1088, 532, 892, 898, 10522, 602, 519, 24468, 786, 2285, 1864, 610, 1200, 1010, 5796, 269, 4024, 713, 9133, 543, 5796, 5000, 596, 547, 1332, 607, 606, 1367, 286, 18771, 269, 4024, 596, 581, 13934, 286, 8786, 621, 1058, 269, 29960, 610, 3797, 568, 2348, 2576, 948, 596, 1689, 1945, 538, 707, 1272, 269, 898, 779, 711, 1454, 1114, 982, 17849, 513, 2168, 13309, 547, 1521, 606, 5945, 610, 2168, 19231, 269, 898, 568, 849, 2147, 547, 17849, 513, 2123, 26519, 547, 948, 596, 2333, 707, 1072, 543, 8516, 269, 23046, 543, 2208, 616, 519, 2489, 3853, 540, 2126, 269, 898, 3217, 2962, 1759, 593, 519, 3661, 602, 596, 666, 12115, 543, 1332, 269, 898, 568, 16882, 2864, 982, 16882, 269, 25085, 618, 568, 4758, 7218, 519, 2645, 602, 786, 948, 873, 1831, 811, 2500, 543, 15508, 267, 14156, 543, 13998, 2635, 269, 25085, 618, 568, 4758, 2576, 1018, 789, 991, 547, 2611, 14524, 531, 543, 23696, 269, 1548, 2306, 1004, 14524, 531, 543, 23696, 616, 1919, 899, 22925, 6878, 267, 2300, 4926, 267, 27102, 4641, 267, 1025, 5446, 5615, 267, 543, 8716, 4606, 540, 27303, 1145, 563, 12663, 2790, 1072, 13508, 948, 596, 286, 898, 5673, 269, 3657, 596, 4712, 547, 1491, 593, 519, 960, 3238, 538, 7067, 543, 1831, 811, 2500, 286, 898, 3217, 10100, 267, 543, 707, 13309, 1058, 581, 12703, 609, 596, 1107, 513, 7649, 538, 6061, 707, 2042, 269, 1358, 666, 1406, 5951, 513, 9059, 18389, 543, 1118, 707, 1272, 1732, 267, 855, 789, 666, 3802, 676, 707, 2427, 543, 1683, 596, 609, 4388, 267, 2200, 267, 543, 2645, 547, 948, 596, 3914, 707, 3853, 269, 5020, 568, 19408, 543, 2352, 267, 713, 568, 3339, 269, 634, 8710, 568, 1483, 267, 543, 1082, 1004, 723, 4810, 27337, 881, 1919, 269, 2598, 1952, 2002, 618, 568, 711, 513, 8710, 267, 621, 568, 3339, 269, 6787, 621, 568, 6051, 689, 8194, 267, 2566, 2359, 267, 610, 513, 960, 2078, 282, 3143, 835, 1058, 4308, 609, 741, 2042, 4805, 269, 32695, 827, 2042, 568, 1175, 519, 4098, 269, 1703, 568, 849, 513, 991, 547, 3068, 2042, 269, 16593, 585, 513, 1732, 1272, 568, 1271, 267, 543, 2348, 513, 19579, 24468, 666, 581, 1360, 6225, 269, 0, 1692, 7043, 6496, 898, 6875, 1677, 12706, 513, 5600, 888, 763, 4070, 540, 513, 1007, 2777, 568, 14931, 676, 4441, 543, 6870, 676, 11731, 267, 799, 5581, 519, 942, 7406, 585, 1142, 1788, 3942, 269, 634, 4070, 8430, 568, 3976, 4443, 547, 2491, 269, 5047, 267, 621, 2636, 547, 4383, 519, 6578, 811, 7561, 543, 2062, 5408, 513, 5469, 547, 1847, 538, 942, 563, 31359, 4070, 942, 281, 513, 1788, 538, 1896, 5933, 454, 763, 4070, 540, 513, 1007, 2777, 568, 2944, 538, 1896, 3268, 267, 8506, 811, 610, 1447, 942, 269, 634, 3349, 2630, 786, 2285, 596, 606, 7650, 540, 513, 6093, 2777, 4070, 8430, 912, 1700, 667, 5202, 566, 540, 519, 6302, 540, 519, 2244, 267, 609, 610, 1510, 513, 5619, 528, 563, 1700, 15020, 3728, 281, 835, 1554, 568, 2614, 563, 1700, 19369, 540, 519, 2244, 281, 1377, 1782, 543, 20857, 519, 2666, 267, 20857, 519, 2104, 12992, 267, 3092, 563, 1700, 3245, 835, 1554, 547, 630, 854, 1419, 264, 835, 3018, 4470, 593, 912, 1700, 519, 2450, 540, 519, 2104, 4070, 3248, 1700, 519, 4527, 610, 711, 540, 513, 25810, 3248, 1700, 519, 2470, 540, 519, 3037, 267, 3092, 563, 1700, 901, 1900, 3340, 3819, 3037, 267, 865, 7996, 585, 1434, 4365, 2175, 568, 1898, 563, 1700, 5345, 659, 6672, 540, 1216, 689, 519, 3037, 563, 1700, 3493, 1742, 3648, 593, 519, 7509, 1459, 538, 519, 3037, 543, 519, 1505, 1031, 563, 1700, 19369, 540, 519, 3490, 540, 519, 2104, 2777, 563, 1700, 2290, 1554, 547, 1896, 2395, 538, 2013, 540, 2620, 610, 10859, 11546, 788, 13210, 543, 2687, 547, 519, 2627, 540, 519, 2104, 2777, 563, 1700, 634, 13279, 540, 519, 6821, 616, 9788, 563, 1700, 9737, 476, 273, 543, 476, 277, 4374, 4470, 593, 519, 2627, 540, 519, 2777, 267, 922, 6988, 267, 519, 4527, 540, 513, 25810, 267, 519, 1826, 540 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 300, 1080, 889, 31381, 22695, 819, 22732, 16530, 12810, 1107, 634, 1101, 1900, 568, 547, 1491, 513, 1413, 693, 519, 1114, 5686, 540, 23525, 585, 519, 27307, 6467, 269, 1452, 616, 23525, 585, 519, 22695, 819, 267, 3213, 559, 267, 610, 7457, 800, 269, 4495, 649, 917, 1018, 891, 23525, 616, 267, 649, 786, 3313, 519, 1585, 3334, 538, 519, 27307, 11443, 269, 769, 1840, 267, 649, 786, 1865, 519, 5107, 540, 519, 22695, 819, 6467, 267, 607, 1134, 607, 519, 3213, 559, 269, 2991, 602, 267, 649, 3580, 2490, 938, 3007, 547, 519, 7457, 800, 23525, 563, 28350, 10904, 585, 27307, 17176, 454, 763, 27307, 6467, 568, 16922, 540, 1614, 1114, 17176, 602, 1463, 519, 6007, 779, 1699, 547, 1585, 6753, 269, 634, 1781, 651, 568, 13324, 676, 519, 1101, 6467, 269, 634, 2034, 6467, 568, 3743, 585, 519, 10396, 23860, 13697, 6467, 540, 519, 27307, 6467, 269, 5272, 10672, 814, 922, 2189, 2681, 2275, 5317, 1062, 267, 799, 649, 3580, 1865, 538, 513, 7766, 2376, 269, 744, 10157, 5205, 713, 10325, 269, 901, 27296, 2636, 519, 13613, 540, 513, 3432, 10309, 519, 27307, 6467, 563, 10214, 1498, 930, 27307, 6467, 23525, 1810, 1406, 2408, 538, 741, 3312, 12122, 634, 1297, 532, 1522, 711, 581, 538, 1899, 609, 519, 6516, 269, 6744, 519, 15364, 540, 1142, 5911, 547, 2327, 602, 789, 616, 5265, 4448, 547, 519, 27307, 17176, 269, 589, 10464, 1617, 9014, 666, 5351, 538, 713, 269, 2991, 596, 2461, 13854, 609, 519, 8699, 540, 519, 12904, 267, 3888, 519, 1007, 27296, 269, 634, 11443, 3138, 558, 585, 606, 27307, 6467, 602, 568, 13859, 676, 519, 10672, 786, 8428, 689, 519, 835, 538, 707, 1286, 563, 763, 1101, 1900, 568, 547, 1174, 519, 21441, 1063, 589, 6717, 543, 25581, 17016, 269, 634, 589, 6717, 267, 30312, 301, 543, 5254, 11286, 23525, 616, 707, 9949, 4296, 547, 519, 27307, 6467, 269, 1358, 849, 1599, 607, 519, 3119, 4296, 547, 707, 5925, 543, 8305, 334, 269, 634, 27307, 6467, 568, 18177, 547, 2490, 519, 2599, 540, 707, 1286, 593, 543, 1055, 269, 24771, 6517, 723, 519, 27307, 6467, 779, 23525, 602, 616, 13042, 968, 3722, 290, 892, 610, 968, 4306, 892, 630, 1721, 1367, 11275, 578, 2231, 1916, 28350, 10904, 585, 16509, 454, 8139, 519, 2474, 1031, 568, 519, 1101, 1900, 547, 4466, 856, 519, 1318, 2186, 540, 27307, 16509, 547, 3442, 269, 634, 6516, 540, 519, 2596, 27307, 11443, 20186, 1585, 4296, 543, 23525, 269, 1703, 616, 1079, 3119, 543, 835, 6281, 269, 1411, 1590, 3313, 519, 2186, 540, 16509, 596, 616, 1210, 676, 4152, 519, 6453, 593, 519, 3119, 12363, 267, 1572, 590, 272, 269, 590, 272, 1590, 849, 581, 1202, 4624, 585, 4187, 547, 3313, 2436, 621, 779, 513, 7392, 645, 267, 645, 267, 610, 606, 589, 16509, 563, 763, 669, 817, 529, 685, 2942, 2115, 547, 581, 4448, 547, 519, 1970, 2389, 3290, 2427, 269, 901, 568, 849, 519, 2666, 585, 519, 6516, 540, 27307, 11443, 269, 634, 1164, 2389, 3290, 3761, 2488, 2318, 2047, 547, 8141, 11690, 338, 269, 634, 11956, 1560, 540, 519, 16509, 2115, 547, 581, 5532, 547, 519, 669, 817, 529, 547, 2061, 621, 689, 1373, 1159, 6139, 1042, 855, 3884, 1406, 2838, 269, 634, 11443, 6516, 585, 519, 27307, 786, 1397, 596, 875, 547, 1921, 519, 23525, 540, 519, 2318, 610, 2942, 27810, 269, 769, 1978, 2665, 621, 568, 5227, 547, 2932, 513, 11571, 693, 519, 2199, 10081, 2694, 4558, 786, 948, 2697, 29840, 532, 27307, 27810, 563, 763, 3109, 7146, 22554, 3613, 686, 6244, 5911, 689, 519, 10244, 4422, 547, 519, 2942, 12363, 269, 15474, 12363, 11392, 519, 3043, 5911, 602, 2882, 513, 3109, 10250, 269, 634, 3346, 30517, 568, 4448, 547, 519, 3109, 5911, 269, 1677, 1449, 519, 12904, 685, 4296, 2308, 513, 1957, 743, 760, 547, 12740, 873, 1055, 519, 8027, 269, 5269, 2386, 602, 519, 23525, 1810, 1406, 18846, 563, 13312, 22329, 540, 27307, 11443, 1397, 519, 11443, 1031, 538, 519, 6174, 779, 1379, 3761, 269, 3962, 5057, 814, 2185, 3982, 4296, 602, 616, 2681, 27573, 269, 7457, 1559, 616, 2699, 543, 519, 6007, 5835, 267, 543, 519, 25690, 1151, 31734, 3039, 269, 634, 968, 22218, 12363, 2636, 596, 547, 1376, 707, 1286, 267, 7500, 519, 530, 760, 619, 610, 824, 2934, 602, 7500, 269, 634, 6516, 14550, 519, 4276, 540, 519, 589, 6717, 553, 1134, 607, 5254, 23525, 563, 763, 12363, 645, 2969, 568, 1141, 519, 6007, 568, 269, 634, 5122, 1062, 3112, 2253, 1510, 519, 6007, 269, 634, 6467, 4465, 1406, 2490, 1055, 952, 519, 6007, 3884, 1406, 972, 269, 1403, 596, 1810, 1406, 917, 519, 3169, 4087, 1141, 519, 6007, 538, 707, 1286, 568, 13883, 267, 596, 666, 4983, 519, 11443, 6516, 540, 707, 1286, 547, 3313, 875, 547, 12398, 621, 269, 634, 27307, 6467, 543, 519, 6007, 616, 4448, 3842, 1569, 800, 23525, 269, 634, 645, 2969, 12910, 1400, 568, 4448, 547, 519, 23996, 563, 5278, 27307, 17176, 2097, 609, 513, 5094, 968, 17739, 800, 892, 2990, 267, 538, 799, 3755, 666, 4383, 741, 17016, 609, 1100, 27307, 269, 20305, 949, 6999, 547, 946, 519, 25581, 3977, 14384, 689, 519, 27307, 269, 1677, 1450, 519, 25581, 3977, 547, 581, 1031, 267, 1921, 519, 27296, 538, 519, 1482, 2681, 607, 519, 27307, 269, 3973, 2073, 1921, 621, 547, 519, 589, 6717, 1439, 540, 519, 6467, 269, 901, 13418, 4183, 568, 1390, 2705, 267, 972, 779, 835, 11984, 269, 634, 5354, 540, 27307, 17176, 616, 1305, 909, 547, 723, 606, 589, 6717, 4567, 950, 519, 6174, 568, 538, 519, 589, 6717, 610, 5254, 11286, 7158, 269, 0, 7804, 2871, 7534, 20176, 718, 8932, 1215, 1281, 595, 4240, 16594, 948, 4633, 16594, 568, 1454, 811, 1950, 982, 519, 2702, 547, 1118, 4633, 4992, 898, 568, 2556, 547, 917, 875, 4992, 9192, 547, 1118, 1913, 543, 2453, 543, 849, 547, 1174, 519, 21342, 2497, 540, 513, 4845, 634, 5812, 946, 540, 595, 4240, 16594, 786, 620, 9517, 281, 476, 276, 4097, 22145, 8281, 19809, 454, 12606, 19809, 910, 634, 623, 8976, 270, 14457, 3561, 834, 290, 308, 3633, 9501, 292, 17248, 9215, 670, 5085, 303, 700, 8780, 2894, 5058, 6730, 9501, 292, 17248, 257, 568, 519, 3959, 540, 922, 1318, 995, 8227, 269, 18983, 2153, 568, 11292, 547, 4647, 543, 1820, 519, 2326, 593, 713, 1357, 3135, 585, 2123, 267, 1875, 10687, 14293, 946, 1152, 267, 543, 547, 4159, 621, 593, 707, 2123, 2780, 3177, 596, 798, 711, 12189, 519, 2326, 543, 602, 596, 11677, 782, 10677, 711, 1182, 8659, 538, 519, 2326, 269, 1635, 23842, 1543, 689, 938, 3896, 267, 596, 3398, 519, 2474, 540, 713, 6876, 563, 303, 19948, 593, 6249, 281, 834, 290, 308, 3633, 9501, 292, 17248, 9215, 670, 5085, 303, 700, 8780, 2894, 5058, 6730, 9501, 292, 17248, 257, 1765, 19809, 13973, 0, 6748, 606, 28302, 3075, 538, 519, 2250, 3923, 269, 2986, 891, 267, 476, 274, 269, 279, 2600, 540, 2367, 543, 476, 273, 2600, 540, 2021, 1558, 519, 10368, 7355, 585, 513, 6219, 946, 4524, 538, 519, 2250, 1032, 563, 763, 3790, 2404, 609, 6219, 946, 4713, 616, 3262, 2066, 9036, 7607, 267, 1072, 1416, 9276, 267, 1876, 11268, 11305, 17964, 5126, 267, 543, 9271, 689, 6174, 10913, 269, 667, 21397, 5829, 3790, 538, 519, 772, 2529, 1421, 585, 1383, 267, 2179, 539, 547, 10199, 1269, 4510, 5479, 513, 1032, 538, 31989, 267, 6142, 3928, 267, 9204, 267, 2564, 6811, 543, 3959, 3441, 563, 763, 31048, 517, 4937, 779, 1867, 23647, 513, 1857, 1072, 1935, 547, 2539, 519, 11411, 540, 6219, 946, 4713, 593, 519, 4346, 563, 2108, 21615, 539, 3429, 6604, 267, 2126, 267, 543, 6051, 2533, 883, 519, 3677, 1072, 1416, 1062, 786, 2333, 1569, 547, 1416, 267, 2087, 2298, 540, 2533, 267, 543, 3132, 4824, 4093, 585, 9118, 4892, 2223, 519, 1867, 7150, 563, 18128, 2064, 2861, 7459, 1223, 723, 513, 4324, 540, 811, 982, 1269, 6812, 585, 1169, 1269, 272, 6170, 267, 543, 1169, 13362, 6170, 593, 8156, 6219, 946, 4524, 1223, 4688, 1269, 275, 538, 1072, 1416, 3790, 543, 1269, 278, 538, 3790, 1644, 547, 7803, 5126, 267, 519, 1867, 7150, 563, 15900, 6304, 568, 1776, 1826, 540, 3028, 23647, 676, 519, 31048, 517, 4937, 269, 1452, 2533, 616, 28110, 4724, 4227, 28746, 267, 4227, 1981, 5615, 267, 543, 2061, 519, 11144, 689, 6057, 547, 513, 4524, 269, 634, 1867, 2829, 602, 1004, 945, 28675, 4235, 267, 1004, 945, 6057, 6878, 1247, 6117, 267, 543, 2021, 945, 6057, 6878, 1247, 9176, 616, 1034, 2693, 547, 4324, 689, 2038, 6304, 3292, 563, 2108, 13510, 9005, 1382, 2982, 602, 5618, 267, 2038, 7459, 2560, 666, 13599, 543, 18663, 1082, 2043, 945, 616, 3765, 6748, 6878, 547, 1174, 543, 11760, 741, 19408, 2623, 543, 547, 2569, 741, 6219, 946, 2223, 519, 1867, 2829, 563, 11754, 7675, 8213, 607, 513, 1857, 1072, 3390, 786, 2154, 513, 2686, 6521, 538, 519, 1259, 1004, 1589, 827, 8213, 269, 634, 16663, 2404, 609, 8213, 568, 2147, 547, 519, 588, 580, 5733, 602, 941, 2899, 2404, 609, 2860, 543, 7486, 267, 799, 941, 9141, 676, 4250, 543, 10385, 269, 1717, 267, 4892, 616, 811, 16561, 540, 2860, 543, 7486, 607, 2564, 2175, 563, 288, 1857, 1072, 1935, 547, 6219, 946, 4713, 609, 519, 3804, 540, 4227, 13103, 4422, 1688, 2987, 11804, 609, 519, 2804, 2640, 563, 2108, 3086, 568, 519, 942, 547, 1118, 713, 1689, 267, 585, 519, 1072, 543, 1134, 5630, 540, 782, 4892, 2223, 519, 1867, 7150, 269, 0, 299, 28515, 6575, 723, 1279, 2094, 1044, 519, 5396, 540, 1353, 269, 6736, 1373, 6923, 3309, 543, 17618, 3989, 267, 2362, 268, 25531, 12666, 6575, 3292, 723, 2312, 543, 12001, 1439, 3853, 585, 1053, 281, 547, 1589, 21176, 267, 9691, 543, 10446, 269, 1358, 849, 1683, 4052, 3318, 1702, 543, 4483, 26003, 545, 267, 7214, 543, 3868, 1049, 1983, 269, 13760, 2406, 267, 713, 10626, 1058, 711, 581, 17792, 547, 1022, 1514, 1362, 563, 19013, 267, 1082, 7496, 2443, 1519, 606, 834, 601, 924, 26209, 257, 6848, 10182, 543, 2804, 543, 2797, 7687, 2443, 949, 25339, 721, 267, 2523, 1053, 689, 2324, 11665, 610, 1101, 22831, 10080, 267, 689, 679, 13764, 538, 519, 12666, 6575, 269, 769, 713, 2796, 267, 649, 991, 547, 1294, 998, 519, 5841, 640, 540, 891, 7496, 950, 14957, 585, 12666, 6575, 3872, 10333, 563, 763, 1455, 834, 601, 924, 26209, 257, 31605, 827, 12666, 6575, 568, 7184, 23091, 609, 519, 1686, 540, 2069, 269, 4406, 24809, 18135, 1380, 267, 538, 1200, 834, 763, 12666, 6575, 616, 896, 4323, 257, 2376, 267, 11339, 602, 1082, 1004, 616, 1932, 5432, 609, 519, 2856, 540, 513, 834, 7217, 548, 2006, 781, 2069, 257, 2443, 606, 2069, 11603, 585, 1004, 945, 616, 5150, 538, 741, 2883, 543, 1514, 4567, 269, 27565, 6575, 723, 1044, 31495, 2181, 1540, 607, 513, 9543, 2006, 781, 2069, 676, 519, 1857, 267, 5103, 2348, 8774, 741, 3140, 5072, 676, 5356, 3872, 3255, 547, 519, 1857, 563, 288, 811, 524, 2106, 673, 2626, 568, 602, 267, 6236, 782, 519, 4674, 2322, 538, 679, 13764, 538, 543, 4271, 908, 689, 12666, 6575, 25700, 12621, 543, 9945, 267, 519, 12666, 6575, 6437, 781, 4081, 22759, 2443, 519, 4890, 1641, 2339, 2443, 568, 1152, 606, 21903, 8720, 519, 4890, 594, 11803, 26885, 781, 4502, 267, 799, 6013, 538, 519, 2404, 31449, 543, 3875, 1514, 17066, 1500, 1282, 922, 26556, 269, 4658, 945, 723, 6707, 6603, 513, 1978, 6848, 1377, 1522, 723, 519, 7287, 547, 6615, 12666, 6575, 2069, 9003, 547, 741, 1453, 267, 2870, 7496, 547, 2061, 519, 1964, 540, 2486, 689, 9396, 908, 519, 834, 601, 924, 257, 6735, 563, 30509, 689, 519, 25302, 1514, 8226, 267, 519, 1699, 2804, 543, 2797, 21274, 3170, 958, 1225, 18571, 1569, 998, 6607, 13702, 7566, 24875, 267, 2875, 10211, 7963, 267, 15424, 6578, 11912, 543, 2797, 4550, 10784, 21526, 1143, 269, 11531, 267, 18135, 1380, 4967, 602, 972, 568, 513, 1804, 2797, 1489, 585, 2810, 9746, 1852, 936, 2362, 2069, 269, 898, 568, 2944, 998, 519, 3051, 26494, 540, 12621, 543, 918, 268, 1321, 338, 267, 5275, 1312, 547, 2981, 2069, 883, 513, 7443, 25700, 13055, 543, 547, 8195, 5372, 12666, 1053, 543, 3610, 609, 811, 9746, 10687, 680, 5050, 3283, 269, 769, 3257, 865, 267, 519, 8789, 2797, 5428, 786, 4309, 513, 4960, 547, 14020, 519, 18545, 781, 2069, 543, 1857, 7694, 1949, 563, 5194, 20159, 568, 602, 12666, 6575, 2069, 568, 16363, 540, 30940, 2883, 1871, 267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 8620, 606, 17090, 279, 4750, 9137, 27375, 585, 707, 14168, 289, 756, 454, 1607, 2985, 2982, 596, 875, 547, 1683, 538, 1467, 14327, 1210, 1201, 16776, 267, 799, 1267, 538, 25436, 5296, 539, 3723, 16694, 2338, 267, 899, 713, 281, 476, 543, 22921, 8100, 630, 20584, 17084, 264, 1373, 3773, 547, 519, 4704, 3296, 2282, 519, 5377, 540, 519, 2376, 2807, 634, 538, 1257, 4704, 3898, 585, 513, 4760, 2376, 609, 1100, 20396, 5205, 519, 1482, 3898, 607, 513, 4760, 2376, 609, 513, 20396, 269, 5457, 782, 538, 1257, 8100, 1058, 581, 7396, 538, 2407, 538, 519, 4704, 6693, 19604, 10542, 13129, 31098, 4676, 17182, 513, 4750, 9137, 454, 3721, 269, 23453, 513, 1257, 4216, 630, 11900, 1068, 285, 17806, 13340, 264, 693, 519, 5377, 540, 513, 13472, 547, 1711, 3723, 16694, 14327, 269, 13017, 1344, 630, 7945, 607, 513, 1433, 11239, 610, 513, 15745, 264, 547, 519, 1257, 540, 707, 6881, 676, 513, 3090, 630, 11900, 1068, 285, 15228, 2513, 264, 610, 1297, 630, 7945, 607, 1496, 272, 20426, 1070, 1818, 2386, 519, 3090, 610, 1297, 6474, 519, 11239, 2560, 1862, 6732, 4760, 4930, 630, 29006, 2139, 538, 2546, 1106, 1152, 264, 2356, 798, 711, 723, 2985, 2338, 267, 865, 3079, 946, 3296, 610, 5037, 2338, 630, 921, 848, 2638, 609, 707, 20131, 585, 741, 7375, 1040, 590, 30708, 540, 606, 2376, 616, 5258, 676, 1016, 3650, 902, 269, 1280, 1383, 912, 1692, 547, 13129, 606, 9137, 593, 513, 19534, 2060, 3143, 8191, 610, 454, 2767, 270, 1556, 270, 1001, 279, 5788, 1703, 616, 1100, 1808, 2645, 2838, 547, 1711, 606, 813, 12459, 5459, 3758, 585, 707, 1788, 269, 634, 813, 12459, 5459, 28203, 814, 1100, 2838, 4610, 267, 855, 4610, 971, 607, 2012, 2073, 6609, 2073, 543, 20446, 616, 5227, 607, 789, 1683, 5363, 2796, 547, 3755, 543, 2285, 707, 813, 513, 3982, 3961, 269, 875, 547, 2057, 533, 574, 921, 7436, 693, 1753, 4750, 9137, 799, 2488, 513, 4320, 1297, 543, 3561, 1297, 3079, 540, 606, 3390, 1297, 593, 519, 2376, 3294, 630, 9987, 281, 476, 1428, 281, 3607, 277, 1070, 543, 1142, 2376, 538, 519, 4320, 2356, 5956, 609, 2985, 1297, 476, 272, 563, 22711, 8276, 698, 8872, 4930, 14905, 476, 277, 628, 9990, 910, 14662, 308, 454, 29490, 1118, 2386, 547, 2307, 10479, 689, 1761, 8100, 1354, 1519, 873, 593, 707, 4704, 2985, 269, 5029, 1125, 707, 8100, 865, 602, 707, 16999, 3346, 610, 17066, 616, 1101, 269, 2659, 3318, 8100, 666, 1331, 267, 585, 1383, 267, 5449, 610, 1699, 12820, 610, 9946, 267, 1071, 22086, 619, 267, 9164, 538, 707, 2361, 267, 543, 20485, 610, 632, 753, 269, 875, 547, 2721, 513, 14925, 609, 1216, 10233, 22796, 1403, 519, 2985, 5963, 8638, 1100, 2278, 267, 946, 519, 2140, 540, 519, 2985, 267, 538, 19722, 7436, 267, 538, 1747, 540, 519, 2278, 781, 2012, 585, 519, 538, 17856, 11239, 281, 9497, 306, 1545, 1473, 6510, 1546, 4003, 2437, 476, 1001, 274, 1040, 634, 2140, 3217, 519, 1747, 540, 519, 2278, 593, 519, 22108, 2985, 267, 607, 1134, 267, 865, 519, 7127, 5956, 609, 519, 2140, 563, 1692, 1279, 666, 621, 1491, 888, 1692, 547, 25737, 1715, 4944, 1653, 14905, 27375, 6651, 910, 645, 756, 9288, 454, 268, 14168, 289, 756, 1215, 547, 13712, 513, 3896, 538, 14905, 454, 268, 14103, 2376, 22105, 654, 274, 18662, 338, 454, 268, 1215, 547, 13129, 606, 9137, 593, 513, 19534, 2060, 3143, 8191, 610, 454, 268, 476, 1015, 4388, 585, 1603, 513, 5963, 15265, 4760, 2376, 454, 1692, 1677, 8073, 13129, 8525, 1280, 9137, 2060, 3143, 9137, 454, 2252, 519, 4760, 610, 3135, 1100, 3476, 6818, 267, 1331, 513, 3095, 547, 519, 4395, 2985, 540, 519, 6538, 1141, 596, 15600, 519, 2376, 269, 6423, 606, 1383, 540, 1114, 2010, 540, 8100, 543, 1451, 811, 827, 14905, 3898, 4586, 268, 18564, 602, 519, 4704, 547, 519, 1433, 814, 513, 2985, 1297, 630, 294, 636, 342, 611, 476, 4198, 273, 281, 20385, 1040, 901, 568, 547, 7520, 513, 5467, 781, 4466, 519, 4704, 538, 513, 1279, 8313, 971, 607, 513, 1433, 630, 2254, 2944, 585, 4760, 4930, 1040, 634, 1957, 676, 645, 1872, 9857, 823, 630, 3192, 271, 264, 568, 2110, 267, 543, 952, 3988, 1616, 547, 1265, 519, 26518, 1344, 267, 789, 1131, 711, 723, 607, 1454, 8373, 563, 268, 1411, 786, 723, 1100, 2042, 609, 513, 4704, 2985, 799, 568, 1898, 585, 3478, 606, 5140, 17090, 1957, 2944, 269, 1215, 547, 14474, 606, 17090, 7433, 31418, 1176, 281, 634, 7454, 6732, 27375, 31098, 589, 1434, 1957, 1058, 581, 1759, 593, 6325, 2963, 543, 1697, 1382, 563, 268, 898, 781, 606, 2523, 1434, 2856, 547, 946, 2985, 2338, 950, 596, 4704, 2835, 267, 607, 513, 1433, 666, 581, 1082, 7366, 540, 3817, 1279, 1818, 519, 1344, 1360, 2352, 547, 1265, 269, 4676, 17182, 519, 2985, 2338, 540, 13746, 568, 2356, 711, 2556, 267, 543, 540, 1576, 267, 7270, 1810, 1405, 723, 2985, 2338, 563, 268, 4750, 9137, 799, 2488, 513, 4320, 1297, 543, 3561, 1297, 3079, 540, 606, 3390, 1297, 593, 519, 2376, 3294, 630, 9987, 281, 476, 1428, 281, 3607, 277, 1070, 543, 1142, 2376, 538, 519, 4320, 2356, 5956, 609, 2985, 1297, 476, 272, 269, 0, 306, 920, 2287, 585, 9839, 31105, 16473, 566, 454, 663, 4065, 1982, 454, 9336, 1032, 936, 513, 476, 1911, 267, 1822, 1004, 538, 4516, 723, 454, 320, 13487, 2680, 269, 9839, 31105, 610, 590, 5844, 9315, 13519, 12280, 454, 529, 519, 1101, 6881, 538, 936, 476, 1789, 267, 1822, 1004, 2676, 663, 789, 616, 11207, 23387, 540, 741, 2783, 563, 4322, 2550, 616, 14406, 676, 519, 2757, 2409, 454, 1993, 9584, 538, 3345, 3013, 1210, 519, 13368, 532, 5069, 454, 30360, 799, 568, 513, 1360, 1434, 27667, 585, 2550, 454, 5976, 1164, 543, 1970, 1981, 563, 763, 9793, 610, 13591, 1981, 1895, 4171, 1101, 454, 335, 19948, 568, 513, 2295, 4323, 610, 6727, 13487, 454, 1372, 987, 616, 1373, 14406, 269, 901, 966, 8085, 301, 2207, 21764, 1895, 2115, 454, 1729, 581, 4857, 269, 1656, 519, 15562, 4338, 292, 5358, 814, 1044, 454, 9188, 11220, 547, 798, 865, 563, 306, 920, 2287, 585, 2038, 7020, 540, 2860, 630, 3691, 770, 2676, 3712, 517, 543, 605, 1598, 622, 264, 543, 589, 31312, 814, 1044, 4922, 7608, 563, 2005, 568, 9670, 602, 2295, 4323, 543, 6727, 13487, 454, 1372, 987, 6589, 585, 811, 2669, 543, 9659, 982, 454, 718, 11871, 543, 589, 31312, 5916, 269, 1809, 9584, 585, 454, 11357, 12641, 25766, 18337, 19473, 29912, 814, 2943, 547, 454, 2041, 7608, 607, 3044, 4791, 2259, 269, 634, 2243, 454, 529, 875, 547, 3713, 891, 7925, 2550, 267, 609, 454, 3725, 23728, 776, 8906, 538, 2295, 2068, 723, 454, 577, 6548, 519, 1935, 269, 23977, 1676, 762, 15799, 1628, 909, 454, 514, 519, 18337, 16209, 543, 713, 568, 875, 621, 3029, 454, 293, 520, 20256, 616, 12842, 676, 519, 16209, 799, 454, 516, 3161, 5946, 1572, 29299, 602, 1291, 454, 263, 1889, 25979, 538, 519, 1973, 607, 15101, 10135, 303, 1916, 24708, 519, 16050, 6821, 20202, 799, 24643, 454, 14545, 1062, 2281, 1572, 1395, 14231, 454, 338, 638, 2465, 8240, 883, 519, 16050, 3774, 543, 2490, 883, 25094, 10152, 454, 3250, 338, 1572, 31457, 543, 454, 8218, 547, 27653, 909, 3170, 20256, 563, 268, 634, 3170, 4904, 2281, 1106, 513, 15799, 609, 513, 454, 628, 514, 8720, 17635, 592, 1676, 762, 15799, 264, 634, 28230, 454, 1993, 713, 6094, 15799, 666, 454, 339, 820, 1747, 538, 4527, 540, 824, 2566, 2188, 267, 1775, 4318, 269, 3929, 454, 560, 816, 267, 7296, 267, 513, 1360, 9761, 7594, 543, 454, 22381, 9822, 725, 540, 1973, 2604, 630, 10972, 30938, 676, 454, 1492, 476, 2190, 3108, 454, 288, 3387, 17419, 10552, 16242, 1040, 4495, 519, 15799, 18015, 519, 9115, 454, 4944, 650, 856, 883, 519, 1973, 6908, 267, 519, 454, 22496, 344, 29299, 538, 519, 16050, 3774, 7001, 1973, 454, 3250, 338, 5631, 6676, 7410, 454, 7474, 19060, 547, 519, 3135, 540, 5945, 269, 1879, 454, 1492, 2281, 804, 2794, 1927, 267, 789, 666, 2901, 2333, 454, 1492, 2450, 540, 519, 454, 23026, 720, 543, 24644, 676, 8108, 513, 1007, 454, 17641, 518, 8720, 610, 4625, 3625, 519, 16050, 454, 320, 2295, 4323, 610, 6727, 13487, 2669, 563, 6124, 2963, 814, 3254, 602, 3625, 1137, 540, 1447, 982, 454, 2004, 260, 263, 2254, 3208, 657, 762, 676, 18337, 2587, 25086, 7565, 8993, 454, 273, 264, 616, 519, 7925, 29693, 13196, 3743, 585, 476, 3583, 14999, 1993, 2295, 6285, 543, 6727, 13487, 7972, 543, 454, 514, 3368, 540, 873, 713, 568, 519, 1101, 6881, 563, 763, 824, 476, 1789, 260, 540, 13487, 2550, 945, 616, 3222, 454, 1993, 741, 2295, 2042, 543, 616, 31916, 2356, 454, 17647, 811, 982, 476, 3583, 260, 31797, 666, 581, 13603, 909, 676, 519, 454, 10177, 6463, 9584, 2409, 563, 27455, 5658, 8906, 543, 2101, 8441, 538, 10368, 454, 663, 9354, 2127, 616, 519, 4493, 540, 519, 15562, 4338, 292, 454, 8181, 14306, 1107, 621, 18922, 519, 1007, 2257, 454, 20041, 519, 1007, 2259, 540, 6604, 563, 763, 9165, 540, 519, 1982, 7125, 585, 9584, 540, 454, 718, 9038, 936, 476, 2412, 1296, 543, 8951, 936, 476, 2004, 1296, 2676, 514, 9000, 540, 1016, 12641, 25766, 19473, 29912, 563, 763, 4527, 540, 1016, 12641, 25766, 19473, 29912, 568, 454, 323, 25018, 539, 676, 2961, 582, 573, 2271, 9874, 9012, 774, 32169, 630, 5746, 21587, 994, 6518, 568, 2656, 267, 1970, 1942, 267, 1100, 5982, 4598, 2676, 663, 666, 581, 15260, 612, 539, 593, 513, 21496, 4493, 269, 634, 4244, 454, 529, 20840, 776, 25289, 24143, 2944, 609, 519, 661, 6195, 307, 31554, 454, 6518, 568, 5266, 7199, 267, 1164, 5982, 543, 454, 4754, 2254, 581, 7368, 21496, 543, 711, 4922, 2139, 454, 5629, 519, 1016, 12641, 25766, 19473, 29912, 568, 9571, 2676, 527, 568, 1249, 1819, 883, 519, 2757, 1981, 2188, 454, 1729, 4020, 513, 1981, 32756, 18158, 269, 2353, 7218, 454, 15884, 1205, 513, 2407, 20188, 9043, 630, 12839, 267, 31613, 267, 25928, 1040, 769, 11987, 454, 5658, 518, 630, 9391, 10135, 303, 1040, 10552, 4006, 4152, 630, 1729, 3713, 840, 26817, 3449, 454, 663, 28491, 31475, 20326, 6794, 1040, 7984, 710, 1449, 585, 2890, 531, 321, 18210, 454, 263, 29148, 569, 1071, 3146, 331, 919, 609, 2104, 2295, 4323, 543, 454, 288, 476, 2190, 3108, 2549, 12712, 2218, 10552, 16242, 18554, 263, 6518, 454, 529, 2484, 9120, 547, 13680, 5604, 10916, 607, 621, 454, 1723, 3146, 331, 919, 1732, 609, 2104, 2295, 4323, 543, 454, 560, 15809, 607, 621, 3217, 883, 7156, 519, 2168, 454, 663, 2790, 17613, 1282, 519, 5464, 269, 634, 454, 13440, 1800, 30397, 3043, 10359, 267, 9633, 539, 610, 6456, 454, 30104, 11364, 267, 15038, 540, 1973, 2604, 1247, 454, 338, 2748, 532, 543, 519, 2038, 6640, 1973, 2604, 10006, 563, 29590, 661, 11155, 30397, 1713, 18337, 16050, 2068, 454, 5976, 3436, 3445, 260, 8417, 607, 813, 2216, 547, 2834, 2566, 454, 339, 3949, 799, 568, 476, 2568, 10065, 634, 5413, 936, 6046, 13487, 454, 11687, 532, 568, 972, 568, 1100, 5982, 267, 3217, 476, 1789, 3764, 454, 663, 568, 8449, 952, 711, 811, 4977, 563, 30265, 539, 609, 713, 1344, 267, 519, 15562, 4338, 292, 1982, 21437, 454, 320, 1981, 32756, 18158, 269, 2353, 6688, 540, 454, 1492, 18158, 616, 2016, 570, 9448, 634, 8427, 27999, 7827, 454, 2421, 938, 3810, 7463, 2319, 16030, 540, 4284, 5974, 2676, 301, 9173, 626, 267, 918, 1149, 328, 6048, 543, 5369, 6048, 269, 634, 454, 32491, 543, 5796, 568, 25191, 609, 3617, 454, 4364, 1709, 547, 26699, 543, 610, 9258, 19473, 29912, 563, 22492, 3007, 568, 2016, 585, 519, 1852, 540, 1973, 454, 12304, 675, 547, 3142, 621, 547, 3339, 476, 2190, 3108, 2418, 269, 634, 454, 4364, 1709, 11311, 3217, 519, 2890, 531, 321, 18210, 538, 519, 454, 584, 710, 883, 2272, 563, 30535, 693, 1360, 1164, 1981, 616, 5219, 585, 4911, 25086, 454, 663, 610, 27800, 563, 1607, 711, 1152, 8591, 1296, 547, 707, 1272, 267, 855, 1272, 454, 1729, 707, 1296, 269, 0, 763, 476, 272, 560, 2817, 6468, 781, 6837, 454, 21511, 3689, 2817, 6468, 781, 6837, 2008, 18550, 476, 2190, 267, 476, 3707, 280, 568, 513, 4266, 4502, 19551, 585, 782, 4457, 2021, 269, 2201, 602, 1554, 267, 519, 3689, 2817, 6468, 781, 6837, 540, 3624, 729, 7036, 539, 269, 634, 2353, 16644, 2088, 6468, 781, 14891, 18966, 2443, 519, 1101, 3084 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 333, 14352, 570, 333, 268, 272, 2608, 570, 333, 268, 272, 3738, 4939, 524, 454, 307, 271, 284, 513, 4939, 524, 454, 18257, 692, 3698, 4073, 318, 7116, 5416, 267, 536, 267, 524, 2187, 476, 589, 815, 476, 272, 454, 476, 570, 815, 513, 4939, 524, 454, 476, 1247, 536, 11203, 476, 271, 912, 825, 952, 536, 1299, 476, 272, 912, 8587, 589, 815, 589, 2608, 570, 4939, 524, 454, 825, 536, 23645, 284, 476, 272, 454, 825, 570, 815, 570, 2608, 570, 4939, 524, 454, 476, 2132, 589, 692, 19399, 19399, 5992, 454, 5035, 31584, 912, 825, 9041, 18958, 311, 1948, 10691, 1450, 689, 31584, 1104, 27661, 825, 6449, 1440, 10675, 815, 476, 272, 567, 1948, 1376, 609, 6449, 568, 4357, 4759, 454, 825, 2551, 815, 476, 271, 476, 1948, 4147, 4756, 267, 2147, 547, 11979, 538, 10084, 2537, 692, 825, 7711, 5035, 24709, 454, 825, 1219, 875, 8548, 1415, 263, 743, 338, 2567, 476, 1948, 4147, 1505, 267, 2147, 547, 11979, 538, 10084, 454, 1038, 1820, 2891, 2171, 723, 2715, 281, 323, 348, 11608, 1701, 269, 8971, 263, 743, 338, 21014, 1637, 4917, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 2567, 567, 1948, 20472, 528, 454, 1038, 1582, 20508, 815, 2012, 825, 1948, 8629, 4756, 454, 1038, 31584, 21014, 1637, 6834, 476, 272, 454, 1038, 1582, 14857, 5035, 1029, 269, 28134, 6834, 272, 692, 825, 1219, 6449, 23437, 9191, 1345, 2567, 476, 1948, 1289, 1354, 18419, 267, 2119, 10691, 547, 946, 621, 454, 1038, 31584, 21014, 1637, 20699, 476, 272, 692, 825, 1219, 6449, 1326, 14403, 9191, 1345, 267, 6221, 2187, 1038, 1780, 825, 1948, 13129, 899, 1535, 314, 4486, 6540, 825, 1219, 2161, 318, 6062, 4311, 2567, 567, 1948, 18771, 14574, 3294, 607, 519, 1101, 4661, 454, 1038, 1820, 3488, 15916, 267, 875, 616, 596, 286, 5073, 337, 815, 31584, 2891, 307, 272, 8442, 825, 1948, 2147, 547, 1007, 12287, 3890, 538, 10084, 454, 337, 4732, 599, 318, 6062, 3890, 476, 1948, 31094, 14061, 25669, 318, 6062, 454, 21659, 582, 269, 6011, 8548, 1415, 10797, 5035, 4132, 21659, 582, 263, 21659, 582, 2567, 825, 1948, 27836, 454, 825, 1219, 6449, 8181, 9191, 1345, 267, 3023, 2187, 1038, 31584, 14857, 8181, 9191, 1345, 267, 2012, 264, 476, 1948, 18771, 1289, 3490, 1362, 4020, 528, 454, 1038, 1582, 269, 16303, 815, 3023, 692, 258, 325, 756, 20906, 19399, 10310, 5992, 30607, 454, 14456, 815, 1496, 272, 267, 476, 273, 2639, 320, 267, 536, 815, 3349, 314, 271, 3910, 3349, 314, 272, 2639, 6112, 6936, 912, 476, 513, 267, 536, 815, 536, 267, 513, 17070, 454, 476, 3349, 6910, 6357, 994, 476, 952, 536, 3436, 476, 5379, 274, 4792, 275, 4037, 274, 277, 4281, 6321, 279, 6321, 279, 912, 825, 2736, 692, 5814, 21795, 607, 19073, 454, 335, 323, 15630, 318, 641, 5406, 2891, 5891, 26509, 545, 1712, 4318, 770, 318, 22057, 318, 12296, 2580, 6936, 994, 338, 815, 19073, 2529, 7685, 16597, 17342, 272, 267, 273, 267, 274, 3910, 4994, 994, 4206, 815, 19073, 6185, 1092, 20988, 16597, 17342, 314, 272, 267, 273, 3910, 1496, 274, 267, 275, 316, 3910, 4994, 267, 9587, 264, 1948, 11907, 267, 476, 273, 5937, 5044, 454, 4206, 815, 19073, 6185, 1092, 20988, 5560, 1112, 994, 4206, 815, 19073, 18667, 318, 1410, 4897, 9638, 987, 267, 6656, 12173, 284, 272, 267, 20927, 22561, 267, 14255, 28767, 284, 9131, 734, 3299, 1412, 3534, 3299, 1412, 333, 21669, 262, 7481, 4206, 815, 19073, 18667, 32269, 9638, 987, 267, 694, 335, 267, 20927, 267, 17683, 994, 4206, 30419, 318, 1410, 4897, 9638, 987, 267, 4994, 18989, 267, 6656, 12173, 17342, 7481, 4206, 30419, 32269, 9638, 987, 267, 694, 335, 267, 10581, 318, 8971, 8782, 10065, 273, 325, 3299, 9587, 22561, 267, 20927, 18989, 267, 4994, 18989, 994, 4206, 7456, 665, 27709, 267, 6241, 2639, 4206, 7456, 665, 18020, 6241, 316, 815, 32582, 1948, 7116, 1518, 6241, 454, 4206, 269, 559, 665, 314, 271, 267, 272, 2639, 4206, 9131, 26383, 11172, 815, 1496, 272, 267, 273, 267, 274, 316, 1948, 1039, 676, 6241, 454, 4206, 9131, 2908, 32284, 11172, 815, 1496, 272, 267, 273, 267, 274, 316, 1948, 335, 323, 2529, 7685, 8443, 272, 267, 273, 267, 274, 7481, 4206, 18994, 333, 1638, 4590, 4206, 269, 1066, 877, 263, 3712, 8435, 28121, 262, 1245, 9166, 262, 2908, 262, 9574, 514, 2897, 18989, 994, 4206, 6155, 1886, 263, 8161, 8782, 3299, 9587, 8782, 3299, 538, 2897, 18989, 994, 4206, 284, 4206, 6155, 1886, 3534, 3890, 1948, 15640, 3534, 4590, 4206, 815, 17093, 314, 4206, 9131, 26383, 262, 4940, 2254, 333, 1638, 3890, 316, 1948, 6749, 6241, 284, 333, 1638, 4737, 454, 4206, 9131, 26383, 11172, 815, 17093, 9131, 26383, 262, 4940, 15640, 3534, 28956, 19056, 994, 4206, 269, 706, 6088, 4590, 4206, 6155, 1886, 318, 706, 27289, 263, 18141, 8782, 14140, 3299, 15410, 17342, 26383, 272, 267, 26383, 273, 3910, 538, 2897, 18989, 264, 0, 5814, 13483, 29411, 274, 454, 5814, 10822, 30913, 328, 454, 935, 333, 815, 13483, 29411, 274, 269, 6618, 2891, 19868, 514, 4578, 5602, 19387, 815, 598, 333, 269, 19387, 4590, 19387, 20216, 31146, 3488, 10345, 22268, 2962, 318, 14766, 267, 27024, 19056, 267, 10957, 19056, 20978, 2845, 1231, 5073, 1721, 1267, 538, 23684, 8807, 21255, 718, 10031, 825, 1820, 630, 16535, 30913, 328, 12500, 273, 320, 318, 28411, 31114, 314, 273, 28413, 825, 535, 815, 1930, 3488, 11687, 17902, 3299, 1412, 342, 321, 5073, 825, 535, 22182, 31114, 314, 273, 7481, 825, 535, 25379, 3890, 0, 5814, 10917, 12803, 454, 5814, 9505, 559, 454, 5814, 693, 1410, 527, 454, 5814, 15259, 7531, 5035, 7843, 335, 291, 597, 24998, 2187, 825, 8173, 825, 901, 1362, 4564, 513, 13796, 15682, 799, 568, 8850, 25216, 593, 14827, 454, 825, 29185, 825, 1219, 6449, 8181, 9191, 1345, 267, 2385, 323, 597, 22561, 267, 2638, 6958, 872, 318, 11898, 18989, 267, 30749, 18989, 2187, 1038, 8173, 1038, 30352, 454, 1038, 28612, 734, 454, 1038, 2385, 323, 597, 2433, 1193, 454, 3546, 519, 15682, 568, 2813, 538, 519, 2385, 15682, 269, 1403, 519, 4661, 568, 9039, 267, 1287, 519, 15682, 568, 2813, 538, 519, 9949, 10917, 5937, 1311, 800, 692, 1038, 2638, 6958, 872, 318, 11898, 2433, 536, 944, 454, 3546, 952, 3020, 267, 693, 2547, 476, 1015, 16412, 1863, 2230, 538, 519, 13796, 15682, 952, 2556, 692, 1038, 30749, 281, 536, 944, 454, 3546, 952, 6936, 267, 519, 17835, 786, 581, 25216, 693, 14827, 540, 9226, 563, 1038, 8173, 1038, 1948, 1711, 519, 15682, 454, 1038, 952, 2385, 323, 597, 568, 711, 7183, 543, 711, 15259, 29624, 20216, 1235, 263, 8001, 323, 597, 2187, 2018, 2119, 912, 3546, 15259, 6230, 8898, 15077, 263, 8001, 323, 597, 994, 2018, 4849, 912, 3546, 6318, 594, 302, 13286, 2891, 322, 11661, 13796, 17835, 538, 4939, 338, 8959, 10590, 4939, 2385, 323, 597, 994, 1038, 1582, 14857, 12949, 815, 10917, 12803, 6230, 330, 19049, 11391, 5560, 597, 284, 8001, 323, 597, 2020, 1038, 1948, 2638, 519, 1863, 12210, 2230, 454, 1038, 952, 2638, 6958, 872, 318, 11898, 912, 2018, 2493, 815, 15259, 14714, 520, 341, 12028, 4311, 14857, 12949, 994, 2018, 952, 2493, 8807, 6958, 3464, 1125, 2608, 2493, 8807, 10734, 822, 841, 2999, 476, 272, 324, 1015, 912, 3546, 6318, 594, 302, 13286, 2891, 3269, 1652, 982, 476, 1015, 16412, 12210, 2230, 585, 13796, 15682, 2336, 14030, 1305, 835, 540, 519, 1604, 4632, 570, 6573, 291, 7644, 267, 570, 4932, 303, 267, 610, 570, 6573, 547, 14574, 513, 4087, 609, 811, 2230, 2139, 256, 3269, 15419, 1038, 1948, 11578, 519, 30749, 2173, 1385, 454, 1038, 952, 30749, 912, 2018, 693, 1410, 527, 269, 2958, 3563, 4311, 269, 30236, 1575, 2020, 825, 1219, 30749, 4311, 2187, 1038, 8173, 1038, 17179, 519, 13796, 15682, 543, 922, 1543, 563, 1038, 901, 1505, 568, 8850, 1572, 593, 14827, 454, 1038, 8173, 1038, 1948, 2638, 568, 519, 15682, 568, 1869, 972, 454, 1038, 952, 711, 15259, 29624, 20216, 1235, 4311, 14857, 12949, 2187, 2018, 2132, 692, 1038, 1948, 18419, 519, 15682, 454, 1038, 9505, 559, 269, 3944, 29728, 4311, 14857, 12949, 2020, 825, 1219, 1205, 12949, 4311, 2187, 1038, 8173, 1038, 1205, 519, 2619, 540, 519, 13796, 15682, 454, 1038, 8173, 1038, 2132, 1582, 14857, 12949, 454, 0, 333, 321, 298, 541, 11663, 815, 703, 9272, 3890, 11850, 22894, 11663, 284, 476, 271, 16963, 1721, 8520, 538, 2039, 3799, 321, 298, 541, 11663, 17107, 453, 335, 1355, 298, 541, 11663, 284, 703, 9272, 2891, 335, 1355, 5918, 737, 541, 11663, 281, 834, 4297, 3248, 453, 720, 298, 541, 11663, 284, 703, 9272, 2891, 720, 5918, 737, 541, 11663, 281, 834, 4297, 3248, 453, 322, 11448, 298, 541, 11663, 284, 703, 9272, 2891, 25468, 525, 5918, 737, 541, 11663, 281, 834, 4297, 3248, 453, 18571, 548, 298, 541, 11663, 284, 703, 9272, 2891, 18571, 548, 5918, 737, 541, 11663, 281, 834, 4297, 3248, 453, 16694, 298, 541, 11663, 284, 630, 322, 11448, 298, 541, 11663, 265, 18571, 548, 298, 541, 11663, 11924, 335, 1355, 298, 541, 11663, 3248, 453, 22894, 11663, 23785, 272, 16963, 13537, 3799, 1774, 298, 541, 11663, 11850, 0, 332, 12251, 815, 703, 9272, 3890, 11850, 332, 12251, 3066, 329, 2293, 815, 476, 3066, 454, 332, 12251, 1789, 329, 2293, 815, 476, 1789, 3248, 332, 12251, 4029, 329, 2293, 815, 476, 4029, 692, 604, 4779, 529, 2652, 476, 272, 610, 4779, 529, 2652, 476, 273, 610, 4779, 529, 2652, 274, 610, 4779, 529, 2525, 476, 278, 610, 4779, 529, 2652, 476, 279, 610, 4779, 529, 2525, 476, 280, 912, 13537, 9852, 12251, 1789, 329, 2293, 2020, 19197, 4779, 529, 2652, 476, 275, 610, 4779, 529, 2652, 476, 276, 610, 4779, 529, 2652, 277, 610, 4779, 529, 2525, 476, 1015, 912, 13537, 9852, 12251, 4029, 329, 2293, 2020, 19197, 4779, 529, 2652, 476, 1556, 912, 13537, 9852, 12251, 3066, 329, 2293, 264, 0, 720, 815, 703, 9272, 3890, 32007, 604, 2085, 2999, 476, 2641, 912, 13537, 2891, 307, 541, 604, 678, 2946, 706, 527, 8442, 3248, 12828, 912, 13537, 2891, 307, 541, 604, 5418, 514, 257, 5148, 0, 454, 3698, 3575, 6025, 868, 272, 267, 512, 868, 273, 267, 3977, 339, 868, 22561, 2187, 825, 23288, 825, 21188, 3575, 3488, 339, 558, 318, 11445, 1080, 17902, 3299, 1412, 1228, 548, 17902, 5073, 825, 7358, 1807, 267, 1297, 267, 5225, 454, 825, 25341, 15916, 689, 519, 824, 2427, 283, 734, 454, 825, 898, 781, 1044, 865, 1082, 1296, 454, 825, 25341, 296, 1590, 723, 1572, 513, 8536, 2053, 283, 734, 454, 825, 4024, 1352, 3314, 1250, 2025, 5639, 454, 825, 25341, 2414, 2995, 596, 594, 6415, 20994, 585, 3388, 602, 594, 4312, 2944, 283, 734, 454, 825, 2755, 594, 4339, 519, 17229, 888, 825, 25341, 3719, 950, 594, 1289, 596, 2760, 3100, 547, 581, 1753, 283, 734, 454, 8931, 825, 21188, 3575, 3488, 339, 558, 318, 11445, 1080, 17902, 3299, 1412, 1228, 548, 17902, 3299, 1412, 332, 1460, 17902, 5073, 825, 21188, 1820, 263, 13449, 3488, 332, 1460, 17902, 3299, 1412, 337, 262, 1040, 1348, 19572, 1439, 8782, 5073, 825, 7358, 1807, 267, 1297, 267, 5225, 454, 825, 25341, 15916, 689, 519, 824, 2427, 283, 734, 454, 825, 898, 781, 1044, 865, 1082, 1296, 454, 825, 25341, 296, 1590, 723, 1572, 513, 8536, 2053, 283, 734, 454, 825, 4024, 1352, 3314, 1250, 2025, 5639, 454, 825, 25341, 2414, 2995, 596, 594, 6415, 20994, 585, 3388, 602, 594, 4312, 2944, 283, 734, 454, 825, 2755, 594, 4339, 519, 17229, 888, 825, 25341, 3719, 950, 594, 1289, 596, 2760, 3100, 547, 581, 1753, 283, 734, 18411, 8931, 825, 512, 868, 272, 267, 512, 868, 273, 815, 1930, 6025, 868, 272, 267, 1412, 337, 30670, 1930, 6025, 868, 273, 267, 1412, 337, 5073, 825, 952, 711, 3977, 339, 868, 912, 1038, 585, 678, 272, 267, 678, 273, 538, 23407, 6025, 868, 272, 267, 512, 868, 273, 2187, 2018, 1820, 16868, 272, 25331, 29328, 28361, 333, 29125, 2018, 1820, 3488, 734, 285, 262, 1341, 678, 273, 25331, 29328, 28361, 333, 10807, 1341, 1412, 283, 734, 5073, 825, 3116, 912, 1038, 3977, 339, 868, 815, 1930, 263, 16059, 339, 868, 267, 1412, 342, 5073, 1038, 585, 678, 272, 267, 678, 273, 538, 23407, 6025, 868, 272, 267, 512, 868, 273, 2187, 2018, 1820, 16868, 272, 25331, 29328, 28361, 333, 30670, 3758, 284, 16059, 339, 868, 994, 2018, 1820, 3488, 734, 285, 262, 1341, 678, 273, 25331, 29328, 28361, 333, 10807, 1341, 1412, 283, 734, 3299, 3758, 284, 16059, 339 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 543, 27858, 267, 616, 20408, 10923, 7496, 543, 4929, 513, 1713, 19717, 547, 519, 4541, 779, 9265, 269, 8834, 853, 334, 9116, 267, 513, 7548, 693, 14411, 15306, 2160, 543, 513, 23784, 547, 519, 1867, 267, 15091, 519, 4049, 3463, 713, 13514, 547, 1480, 10340, 563, 763, 10020, 540, 12833, 5297, 15661, 538, 6987, 8012, 454, 763, 1867, 4967, 602, 519, 3262, 540, 2371, 543, 2831, 1063, 17407, 568, 513, 3119, 2014, 540, 519, 5571, 9265, 6433, 269, 12833, 5297, 2249, 616, 7700, 547, 476, 2568, 2600, 540, 970, 18728, 269, 1306, 811, 5739, 12362, 2249, 3715, 2933, 543, 9062, 267, 8103, 8188, 1713, 4220, 269, 1452, 10860, 21279, 547, 6861, 5186, 680, 1343, 543, 3262, 3676, 899, 18151, 25645, 10108, 563, 763, 4107, 20121, 10614, 12833, 5297, 15661, 454, 763, 1867, 267, 2854, 676, 519, 3955, 32744, 3163, 6261, 32123, 25957, 593, 26085, 543, 23270, 7896, 630, 7709, 289, 2464, 1070, 14439, 519, 3109, 3731, 607, 519, 1034, 7839, 12362, 3662, 267, 10825, 3842, 9635, 883, 4872, 543, 6552, 10195, 269, 634, 1034, 7839, 12362, 2030, 568, 519, 1216, 1728, 659, 12764, 267, 8385, 689, 3162, 3013, 269, 901, 2030, 9428, 6385, 267, 8720, 3003, 1216, 4703, 267, 7679, 1359, 609, 10935, 6808, 267, 10068, 267, 543, 1256, 6704, 1216, 7727, 563, 763, 10020, 540, 8693, 7827, 543, 10298, 585, 519, 8892, 454, 20458, 1689, 568, 2693, 547, 22652, 519, 1966, 540, 12362, 10860, 676, 7175, 1978, 2249, 547, 22109, 543, 8853, 538, 1007, 4525, 269, 17957, 267, 12362, 2249, 666, 849, 22652, 2916, 1689, 269, 1280, 1383, 267, 3529, 10275, 3739, 7786, 899, 519, 900, 14283, 11849, 16004, 337, 1118, 621, 9875, 585, 7733, 547, 3524, 6856, 3327, 856, 540, 519, 5790, 563, 1103, 5412, 267, 6082, 8815, 547, 2832, 547, 2569, 519, 3262, 540, 5739, 12362, 2249, 676, 693, 2547, 3368, 676, 476, 10711, 271, 269, 634, 1867, 11363, 519, 2956, 540, 6604, 2994, 267, 971, 607, 8473, 5464, 543, 1104, 1852, 269, 898, 849, 5267, 602, 6932, 4066, 1223, 5351, 538, 9013, 519, 2338, 540, 12362, 2249, 563, 1103, 15230, 2249, 616, 513, 1713, 543, 896, 1952, 3285, 730, 3463, 547, 2518, 9265, 267, 609, 6286, 585, 1480, 10340, 267, 11615, 267, 543, 1072, 269, 634, 1909, 540, 2518, 4123, 543, 2951, 538, 10825, 891, 2249, 11363, 519, 25872, 540, 938, 1158, 543, 519, 991, 585, 3486, 9316, 538, 5466, 713, 1966, 269, 634, 1761, 585, 2916, 1689, 547, 2417, 22652, 519, 3390, 8591, 1776, 4494, 540, 6988, 269, 898, 568, 2312, 602, 14849, 267, 20291, 2962, 568, 2877, 547, 2061, 2417, 2530, 540, 9265, 543, 519, 1761, 5222, 593, 1480, 7239, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 476, 1001, 271, 543, 6770, 1713, 589, 7495, 1995, 269, 16547, 601, 6585, 519, 546, 3241, 1909, 540, 18947, 8865, 15440, 3246, 5718, 543, 30023, 547, 519, 8865, 5004, 2319, 607, 1134, 607, 519, 1909, 540, 4934, 18943, 4518, 518, 543, 8865, 15440, 269, 13405, 547, 713, 16547, 601, 5249, 607, 513, 2657, 4065, 20229, 543, 8556, 15249, 693, 519, 12754, 543, 4065, 5358, 585, 769, 915, 532, 10684, 20305, 630, 3918, 303, 2839, 308, 264, 693, 4414, 325, 1716, 563, 288, 343, 601, 4249, 513, 1883, 1909, 693, 717, 3578, 4471, 5600, 998, 12419, 519, 12829, 11110, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 24719, 13316, 1315, 595, 3234, 11659, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269, 0, 3848, 476, 1556, 281, 3465, 5524, 10684, 16700, 2224, 10644, 692, 7072, 912, 20756, 972, 256, 5620, 596, 2479, 3144, 4915, 950, 596, 2811, 4743, 7210, 286, 2986, 1576, 267, 649, 782, 723, 269, 5709, 1149, 616, 1271, 585, 4543, 721, 1745, 1732, 950, 649, 2811, 796, 6202, 269, 1809, 1705, 596, 917, 602, 930, 11955, 666, 581, 5739, 952, 789, 2811, 711, 1031, 7157, 286, 4653, 267, 1577, 781, 2911, 827, 13310, 5061, 543, 875, 547, 2061, 741, 21568, 269, 1635, 1620, 713, 267, 596, 786, 1831, 513, 3743, 4759, 540, 938, 2146, 543, 1451, 547, 1491, 1416, 540, 3054, 543, 1346, 1472, 596, 780, 4089, 476, 272, 281, 1548, 3657, 3465, 5524, 24391, 888, 15430, 5524, 5061, 616, 2027, 5686, 540, 6646, 602, 7189, 21559, 547, 948, 1004, 1205, 1732, 689, 10108, 610, 4383, 2564, 2175, 269, 1452, 6527, 616, 2178, 543, 991, 547, 581, 3144, 4010, 607, 9859, 676, 513, 3782, 3318, 269, 2368, 1455, 2010, 540, 13310, 5061, 1331, 1928, 26973, 619, 267, 22471, 559, 9088, 267, 8102, 1218, 267, 543, 1244, 816, 1218, 269, 1358, 2097, 538, 1585, 3029, 899, 21447, 267, 15559, 267, 15649, 267, 610, 1256, 24409, 780, 4089, 476, 273, 281, 4208, 1772, 898, 12830, 1677, 2422, 3465, 5524, 24391, 7743, 569, 888, 8794, 13310, 5061, 5265, 1797, 2921, 873, 1152, 950, 2877, 267, 1739, 519, 2953, 18262, 267, 543, 2760, 4687, 873, 609, 1866, 269, 1879, 2576, 3765, 4926, 13310, 5061, 267, 621, 1223, 1291, 547, 3978, 1072, 2042, 971, 607, 8213, 267, 30072, 267, 610, 824, 2168, 2800, 269, 1280, 1383, 267, 2921, 1932, 1082, 1928, 26973, 619, 982, 1018, 781, 5227, 1522, 2014, 7181, 2152, 267, 6797, 3441, 267, 610, 8338, 1107, 2669, 269, 3958, 267, 4758, 2476, 707, 13310, 5061, 547, 2828, 610, 15032, 568, 10363, 543, 12662, 873, 693, 1981, 540, 7680, 891, 1482, 12178, 780, 4089, 476, 274, 281, 1215, 2052, 1284, 16473, 3465, 5524, 10684, 16700, 2224, 888, 2080, 616, 930, 4388, 593, 7303, 13310, 3075, 21568, 1384, 272, 269, 11408, 1246, 707, 4387, 781, 5528, 950, 1210, 1022, 13310, 6646, 269, 1403, 1945, 3884, 1405, 2312, 267, 1810, 1405, 19292, 547, 2307, 2055, 563, 273, 269, 8550, 2671, 707, 13310, 5061, 609, 4896, 3116, 267, 1256, 952, 789, 3409, 547, 723, 2147, 2589, 269, 2659, 3659, 781, 1560, 949, 2746, 8335, 547, 519, 6646, 267, 4929, 13311, 2427, 2360, 563, 274, 269, 5901, 3950, 540, 707, 1201, 1571, 269, 26121, 856, 30122, 1522, 15673, 596, 547, 10210, 2576, 3116, 781, 13310, 5061, 267, 799, 568, 5906, 543, 1996, 519, 1876, 563, 275, 269, 15188, 707, 13310, 5061, 18172, 269, 5269, 2386, 789, 2811, 856, 540, 3914, 689, 16254, 267, 8436, 267, 610, 11371, 644, 619, 945, 1522, 17543, 610, 18417, 21568, 873, 563, 276, 269, 2598, 2821, 540, 30694, 610, 1163, 1600, 13310, 5061, 9108, 269, 6744, 609, 707, 14278, 626, 610, 2199, 3653, 12871, 4099, 585, 1697, 4808, 780, 4089, 476, 275, 281, 16418, 532, 6435, 1280, 3465, 5524, 10684, 16700, 2224, 454, 2252, 596, 1589, 596, 610, 2576, 2673, 547, 596, 1522, 581, 3765, 6748, 13310, 5061, 267, 3314, 602, 5275, 948, 568, 2629, 269, 13185, 16175, 827, 707, 4145, 609, 513, 11967, 2937, 267, 4116, 267, 24468, 267, 610, 3782, 8502, 269, 1703, 616, 849, 3084, 927, 680, 1149, 2139, 267, 971, 607, 590, 4456, 295, 6347, 781, 2817, 4477, 680, 710, 630, 272, 268, 8517, 268, 5780, 273, 29803, 1040, 1411, 666, 1289, 713, 1297, 20471, 267, 1554, 610, 3781, 267, 547, 4309, 1863, 543, 14804, 5583, 593, 4466, 7404, 2200, 585, 8156, 6219, 946, 4713, 780, 6962, 912, 18455, 3222, 540, 519, 1761, 4220, 2404, 609, 13310, 3075, 21568, 2337, 2149, 6000, 543, 938, 6068, 3283, 269, 5457, 2141, 547, 1246, 707, 4387, 781, 9753, 267, 4558, 707, 1199, 338, 18172, 267, 543, 3343, 6351, 952, 2556, 269, 8625, 267, 649, 666, 3895, 2922, 2853, 1369, 938, 2950, 543, 3565, 547, 2679, 513, 10930, 1158, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 12831, 1833, 524, 999, 1426, 281, 590, 4456, 295, 6347, 779, 2817, 4477, 680, 710, 1923, 590, 4456, 295, 6347, 454, 306, 4456, 295, 6347, 779, 2817, 4477, 680, 710, 1923, 590, 4456, 295, 6347, 454, 306, 4456, 295, 6347, 779, 2817, 4477, 680, 710, 568, 513, 1863, 267, 14804, 267, 476, 2190, 270, 278, 267, 476, 18458, 6377, 8584, 4458, 2126, 29748, 543, 1344, 3028, 630, 514, 2296, 543, 5053, 264, 585, 2043, 543, 3885, 6849, 2790, 543, 5924, 6219, 946, 4713, 563, 9827, 3643, 519, 2228, 2126, 1327, 1807, 563, 21761, 18542, 5999, 454, 22091, 663, 2353, 1923, 7502, 8985, 2353, 454, 306, 4456, 295, 6347, 779, 2817, 4477, 680, 710, 267, 476, 272, 268, 8517, 268, 5780, 273, 29803, 630, 31973, 278, 264, 630, 10193, 1634, 607, 519, 9615, 28582, 1537, 13705, 532, 6796, 1070, 610, 570, 31159, 281, 476, 272, 268, 8517, 268, 4366, 278, 268, 4366, 279, 280, 568, 513, 14804, 267, 1863, 267, 476, 2190, 16923, 8584, 6377, 267, 476, 18458, 6377, 8584, 4458, 267, 1344, 3028, 267, 538, 2296, 543, 5053, 267, 585, 2043, 543, 1920, 2818, 6849, 2790, 543, 5924, 6219, 946, 4713, 269, 901, 3028, 2488, 3277, 23552, 547, 2199, 2126, 6703, 267, 1489, 2516, 267, 543, 2146, 2861, 3906, 563, 9827, 3643, 519, 2228, 2126, 1327, 1807, 267, 610, 6494, 707, 23407, 3009, 3842, 1257, 5048, 281, 476, 31973, 278, 4366, 630, 28502, 275, 308, 264, 547, 1265, 948, 2282, 596, 269, 3367, 811, 827, 519, 670, 5085, 303, 275, 308, 1257, 20261, 3028, 907, 5016, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 15430, 5524, 10684, 16700, 2224, 10644, 257, 607, 851, 540, 834, 306, 23852, 29803, 1315, 28548, 18816, 1299, 5410, 11881, 1315, 24391, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 5753, 781, 12080, 15557, 538, 8466, 12745, 910, 16848, 1354, 519, 3943, 7169, 692, 7072, 912, 5970, 596, 2479, 2219, 827, 875, 1114, 1919, 941, 1279, 3516, 286, 4634, 1945, 899, 8026, 707, 5132, 1223, 1413, 1360, 1114, 4470, 593, 1141, 596, 5030, 256, 4653, 267, 649, 616, 2469, 547, 2263, 1018, 621, 729, 899, 1373, 513, 1126, 538, 16848, 1354, 519, 3943, 7169, 630, 19925, 519, 3735, 476, 10204, 271, 338, 264, 950, 621, 3357, 547, 1565, 827, 8567, 269, 1284, 786, 1451, 827, 519, 2197, 781, 2189, 2797, 3510, 267, 875, 602, 6766, 3909, 2853, 267, 543, 1589, 827, 2081, 649, 666, 2671, 938, 5132, 609, 1866, 2221, 780, 4089, 476, 272, 281, 4197, 519, 11572, 23721, 454, 18933, 15909, 1394, 1287, 7012, 1405, 835, 2582, 2197, 899, 649, 917, 621, 1631, 269, 5502, 267, 621, 729, 1500, 909, 540, 1082, 1507, 2829, 1572, 18085, 976, 269, 3962, 18085, 517, 1185, 922, 3652, 267, 5389, 267, 543, 1256, 4013, 10764, 256, 1452, 18085, 976, 1131, 960, 1927, 547, 9718, 2933, 1996, 16080, 11107, 855, 6382, 7283, 6140, 5094, 269, 2052, 596, 4952, 952, 1169, 4884, 2282, 596, 1185, 922, 7022, 267, 7128, 3196, 267, 543, 1256, 9206, 286, 2334, 779, 1018, 1272, 729, 899, 538, 2025, 16848, 2439, 4089, 476, 273, 281, 15215, 538, 18230, 22616, 976, 454, 7712, 1142, 18085, 517, 729, 865, 1114, 267, 789, 849, 4553, 1585, 3029, 540, 8567, 269, 2368, 9053, 30871, 1247, 1866, 10709, 539, 2509, 17557, 1143, 1765, 18314, 8371, 540, 8567, 602, 3006, 9969, 7517, 609, 1142, 824, 1282, 713, 942, 1974, 269, 5221, 891, 18085, 976, 941, 9247, 9910, 2477, 267, 519, 3401, 3893, 547, 6430, 799, 1826, 540, 8567, 3025, 538, 602, 1858, 13736, 269, 901, 1797, 3214, 3395, 909, 1522, 723, 1152, 4121, 827, 835, 1808, 4528, 540, 8567, 1759, 593, 1141, 789, 5030, 269, 5994, 2348, 1175, 16741, 6105, 693, 1153, 3079, 540, 7484, 31817, 6730, 16741, 6105, 1317, 707, 4116, 4956, 972, 12582, 1405, 581, 1022, 26265, 4847, 256, 898, 781, 2186, 540, 899, 602, 855, 1259, 811, 1271, 780, 4089, 476, 274, 281, 8177, 540, 519, 3943, 7169, 454, 2691, 519, 3943, 7169, 5949, 1472, 476, 9965, 280, 267, 2462, 2242, 3323, 2921, 1747, 2066, 2342, 267, 1519, 16848, 269, 4658, 3459, 15819, 1946, 930, 1004, 4371, 782, 519, 1379, 543, 4941, 2834, 11570, 899, 596, 543, 803, 547, 723, 811, 2161, 538, 875, 1919, 5249, 269, 3683, 942, 267, 713, 3366, 547, 1447, 1852, 936, 4984, 1369, 1142, 18085, 517, 267, 3850, 811, 4763, 543, 5191, 585, 2043, 547, 3442, 741, 4978, 269, 6056, 827, 7446, 1063, 10217, 4672, 8645, 10758, 29877, 1310, 12129, 282, 9327, 1405, 621, 581, 8799, 547, 2972, 2901, 8164, 596, 1616, 2496, 6962, 281, 19457, 3776, 18321, 4653, 454, 10214, 1498, 2053, 723, 4957, 2094, 1346, 2395, 538, 16848, 267, 1620, 1686, 2337, 721, 5660, 519, 22624, 649, 723, 1631, 269, 1306, 1453, 781, 18591, 3401, 267, 1577, 781, 3314, 602, 1169, 4819, 814, 2189, 2833, 5935, 875, 789, 1294, 2696, 543, 8567, 269, 1635, 2870, 2922, 5624, 585, 2055, 543, 5717, 267, 649, 5000, 1930, 8186, 543, 12271, 4712, 547, 1332, 538, 5132, 269, 1924, 1985, 942, 596, 5531, 609, 2828, 267, 2119, 4687, 2984, 827, 875, 9358, 1921, 609, 4906, 1107, 945, 6487, 4171, 2295, 949, 581, 20109, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 15578, 8863, 7838, 6224, 5442, 17335, 3951, 313, 2207, 299, 13263, 454, 5353, 793, 984, 657, 267, 1566, 269, 3632, 1421, 28331, 269, 26577, 269, 589, 10374, 3778, 540, 16848, 676, 3220, 269, 20913, 667, 7564, 526, 331, 32304, 267, 12261, 676, 661, 269, 6428, 529, 12064, 267, 5507, 267, 476, 6245, 280, 269, 15049, 614, 267, 12603, 645, 1030, 324, 785, 2426, 3541, 918, 1844, 515, 538, 3541, 5576, 933, 714, 267, 22540, 267, 476, 5002, 273, 269, 645, 6686, 14024, 267, 12603, 22186, 565, 269, 918, 1844, 515, 538, 3541, 5576, 933, 714, 267, 22540, 267, 476, 5002, 273, 269, 590, 20672, 23702, 268, 28228, 28705, 267, 14216, 918, 2086, 325, 1990, 342, 4593, 1156, 1234, 19816, 3768, 717, 1168, 5306, 267, 476, 274, 645, 1372, 1421, 1325, 11575, 21807, 267, 476, 5908, 274, 268, 5780, 269, 9197, 18863, 710, 879, 11219, 8432, 267, 2876, 334, 790, 5918, 590, 1180, 8538, 1495, 267, 476, 273, 2019, 338, 1421, 674, 1026, 32490, 267, 476, 6977, 271, 563, 289, 9128, 16800, 519, 3943, 7169, 16848, 15538, 540, 513, 1297, 540, 2370, 2829, 682, 698, 4240, 1927, 585, 20237, 267, 1498, 1142, 1476, 539, 4733, 1533, 729, 11613, 4830, 269, 634, 3844 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5814, 1250, 318, 8527, 1724, 454, 325, 19189, 284, 6358, 2891, 300, 839, 1690, 324, 513, 1958, 2815, 541, 281, 19515, 2745, 4590, 2745, 2891, 17442, 9992, 848, 1958, 2815, 3385, 1965, 281, 5602, 3240, 318, 8527, 1724, 31428, 318, 8527, 1724, 6600, 19189, 994, 2745, 3890, 0, 26611, 23591, 24800, 270, 7090, 692, 1012, 454, 258, 7711, 12803, 4757, 518, 18258, 454, 258, 7711, 10461, 18238, 25306, 2999, 3881, 1248, 518, 287, 324, 1815, 338, 269, 828, 18403, 12975, 11417, 258, 7711, 321, 4361, 476, 901, 1982, 7125, 513, 1016, 15263, 267, 1287, 15920, 606, 4757, 950, 2347, 454, 16482, 258, 7711, 7611, 23370, 31304, 303, 3582, 454, 16482, 258, 901, 9226, 7097, 2636, 513, 3593, 547, 2196, 513, 1184, 267, 607, 952, 10912, 602, 454, 258, 1184, 2047, 593, 519, 7387, 269, 476, 1717, 267, 950, 519, 1184, 568, 6192, 2676, 258, 713, 1982, 786, 6494, 606, 4757, 547, 519, 2016, 575, 21166, 2272, 563, 258, 692, 5814, 19523, 454, 5814, 23094, 454, 5814, 942, 527, 454, 5814, 1016, 15263, 454, 5814, 1159, 339, 680, 756, 454, 5814, 1205, 10139, 454, 5228, 4757, 6230, 830, 269, 3667, 1104, 631, 8379, 4953, 2169, 692, 1012, 454, 258, 634, 1292, 1599, 786, 581, 1572, 593, 11056, 540, 713, 3009, 454, 16482, 3698, 1292, 3890, 1384, 453, 258, 649, 1616, 547, 2196, 513, 1016, 15263, 689, 713, 1982, 267, 799, 568, 454, 453, 258, 9138, 998, 519, 4971, 11060, 7440, 454, 453, 16911, 815, 19523, 27769, 341, 314, 272, 281, 316, 1948, 11716, 1101, 4661, 281, 1982, 2012, 692, 453, 258, 1354, 649, 14892, 713, 1016, 15263, 267, 5965, 519, 4757, 602, 454, 453, 258, 786, 581, 2366, 950, 519, 1016, 15263, 29349, 269, 476, 1677, 798, 713, 2676, 453, 258, 649, 991, 519, 22754, 454, 453, 8518, 548, 815, 6151, 17750, 3488, 1432, 568, 707, 575, 21166, 27024, 1412, 26444, 4848, 453, 266, 1412, 263, 23719, 519, 7711, 326, 21166, 2593, 21663, 30386, 453, 10139, 23424, 815, 1205, 10139, 10947, 10139, 4590, 453, 10676, 815, 23094, 3052, 996, 739, 4067, 10797, 453, 258, 2196, 519, 1184, 454, 13537, 834, 4840, 13537, 834, 305, 7342, 4971, 281, 834, 1341, 9497, 834, 269, 21860, 263, 16911, 4917, 13537, 834, 4840, 453, 6776, 815, 942, 527, 269, 29239, 4671, 25534, 4590, 453, 4958, 815, 1016, 15263, 6983, 718, 263, 16911, 267, 7387, 25716, 994, 453, 339, 665, 815, 942, 527, 269, 29239, 4671, 25534, 10797, 453, 258, 3898, 519, 5048, 454, 453, 16942, 815, 6023, 1341, 1412, 287, 326, 21166, 2593, 7055, 453, 916, 326, 815, 631, 8379, 4953, 2169, 2891, 1607, 568, 606, 12747, 5048, 269, 476, 2659, 1184, 24097, 333, 14826, 257, 26444, 453, 453, 266, 27719, 339, 257, 1341, 9497, 834, 269, 21860, 263, 16911, 4297, 1341, 27719, 333, 14826, 257, 26444, 453, 453, 266, 834, 337, 7342, 593, 519, 2780, 1412, 257, 1341, 3984, 26444, 453, 453, 266, 834, 262, 814, 2165, 3990, 609, 14827, 3009, 834, 1341, 1193, 263, 4958, 264, 1341, 834, 269, 476, 834, 26444, 453, 453, 266, 834, 2005, 3576, 834, 1341, 1193, 6025, 665, 2389, 545, 264, 1341, 834, 3813, 547, 2347, 26142, 333, 14826, 14826, 14826, 257, 26444, 453, 453, 266, 834, 14343, 734, 315, 333, 257, 26444, 453, 453, 266, 834, 1607, 5048, 2366, 676, 519, 4757, 518, 18258, 7097, 14826, 257, 26444, 453, 453, 266, 834, 2421, 18238, 25306, 281, 1714, 339, 1248, 518, 287, 324, 1815, 338, 269, 828, 18403, 12975, 14826, 8442, 3248, 453, 916, 326, 9131, 20428, 11172, 815, 834, 7312, 1184, 593, 834, 1341, 3984, 1341, 834, 814, 2165, 3990, 4840, 453, 916, 326, 9131, 5804, 11172, 825, 815, 4757, 454, 453, 916, 326, 9131, 2414, 11172, 8587, 815, 4757, 692, 453, 258, 6494, 519, 5048, 454, 453, 338, 815, 1159, 339, 680, 756, 2529, 300, 9143, 3488, 8243, 339, 335, 3052, 21166, 2593, 281, 6812, 278, 5073, 453, 338, 269, 11034, 339, 3149, 4590, 453, 338, 28802, 514, 263, 8518, 548, 267, 1780, 23424, 994, 453, 338, 4732, 754, 21166, 263, 16942, 267, 1496, 16942, 3910, 20444, 326, 269, 553, 23952, 15405, 453, 338, 269, 10181, 10797, 1012, 454, 258, 4425, 8814, 30066, 3009, 547, 1289, 1292, 1599, 454, 16482, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 453, 10852, 4590, 0, 12163, 287, 30853, 26033, 483, 281, 552, 12455, 26033, 479, 418, 373, 379, 454, 287, 23523, 362, 32517, 350, 281, 5908, 14625, 276, 4029, 1015, 454, 287, 4970, 497, 21550, 493, 281, 4179, 2517, 30795, 10224, 17427, 269, 345, 6062, 16852, 2593, 11305, 318, 14093, 280, 6434, 28664, 275, 866, 278, 1626, 279, 1321, 279, 454, 20701, 454, 258, 1535, 284, 1015, 454, 258, 1219, 30775, 10031, 258, 672, 2518, 1535, 454, 258, 672, 1535, 284, 736, 454, 16482, 258, 30775, 4590, 258, 1820, 3287, 9239, 258, 561, 17342, 272, 267, 273, 2639, 258, 1219, 30775, 10031, 258, 672, 1948, 2518, 561, 454, 258, 672, 1948, 561, 284, 11277, 454, 258, 672, 561, 6910, 263, 274, 994, 16482, 258, 30775, 4590, 258, 1820, 10857, 2020, 258, 1219, 30775, 10031, 258, 672, 2518, 1535, 454, 258, 672, 1535, 284, 9340, 454, 16482, 258, 30775, 4590, 258, 1820, 3287, 2020, 19638, 7531, 258, 1219, 535, 272, 10031, 258, 672, 1535, 284, 272, 454, 258, 672, 1219, 535, 273, 10031, 258, 1363, 1875, 29985, 1535, 454, 258, 1363, 1535, 284, 273, 19638, 7531, 258, 1948, 815, 13117, 2525, 30903, 502, 25203, 362, 13601, 13117, 2525, 23751, 258, 3403, 284, 18357, 454, 258, 1219, 30775, 10031, 258, 672, 3403, 284, 29900, 454, 258, 672, 1820, 9272, 994, 16482, 258, 30775, 4590, 258, 1820, 9272, 2020, 258, 1948, 815, 13117, 2525, 30903, 502, 25203, 362, 11590, 490, 13117, 2525, 23751, 258, 1219, 30775, 10031, 258, 672, 1820, 3287, 994, 258, 1535, 284, 9340, 454, 16482, 258, 30775, 30800, 258, 1948, 815, 13117, 2525, 30903, 502, 25203, 362, 4970, 487, 13117, 2525, 23751, 258, 1535, 284, 272, 454, 258, 1219, 30775, 10031, 258, 825, 1820, 3287, 994, 16482, 16482, 258, 1219, 535, 5622, 10031, 258, 672, 1535, 284, 19442, 454, 258, 672, 30775, 4590, 16482, 258, 1535, 284, 18357, 454, 16482, 16482, 258, 535, 5622, 4590, 16482, 258, 1948, 815, 13117, 2525, 30903, 502, 25203, 362, 18713, 505, 13117, 2525, 23751, 258, 3403, 284, 9340, 454, 258, 1219, 535, 272, 10031, 258, 672, 1219, 535, 273, 10031, 258, 1363, 1948, 3403, 284, 18357, 454, 258, 1363, 1820, 9272, 994, 258, 672, 1948, 3403, 284, 19442, 454, 258, 672, 535, 273, 4590, 258, 3403, 284, 18357, 454, 16482, 258, 535, 272, 30800, 16482, 258, 1948, 815, 13117, 2525, 30903, 502, 25203, 362, 11590, 498, 13117, 2525, 23751, 258, 1535, 284, 9340, 454, 258, 1219, 30775, 10031, 258, 672, 1820, 3287, 264, 1948, 454, 258, 672, 1535, 284, 19442, 454, 16482, 258, 30775, 4590, 16482, 16482, 258, 1948, 815, 13117, 2525, 30903, 502, 25203, 362, 10429, 511, 13117, 2525, 23751, 258, 1535, 284, 9340, 454, 16482, 258, 1219, 535, 5622, 10031, 258, 672, 1820, 3287, 267, 994, 16482, 258, 1219, 3046, 10031, 258, 672, 1820, 3287, 994, 16482, 258, 535, 5622, 4590, 258, 3046, 4590, 16482, 258, 1948, 815, 13117, 2525, 30903, 502, 25203, 362, 4970, 481, 13117, 2525, 23751, 258, 1535, 284, 272, 454, 258, 1219, 30775, 273, 10031, 258, 672, 30775, 272, 4590, 16482, 258, 1535, 284, 273, 454, 258, 1219, 30775, 272, 10031, 258, 672, 1820, 3287, 994, 16482, 258, 1535, 284, 274, 454, 16482, 258, 30775, 273, 10797, 0, 258, 476, 272, 18998, 10524, 478, 18263, 486, 15159, 14756, 356, 19867, 379, 454, 258, 594, 281, 14756, 356, 19867, 379, 15159, 13601, 26175, 491, 10254, 505, 417, 375, 374, 13161, 364, 32352, 7511, 25913, 19764, 493, 8147, 31878, 32352, 25263, 504, 421, 479, 501, 25263, 510, 419, 486, 370, 32352, 7511, 31271, 508, 26233, 356, 454, 258, 4083, 281, 7090, 418, 498, 363, 418, 490, 479, 14035, 504, 14756, 356, 19867, 379, 476, 13127, 506, 357, 7090, 18809, 8147, 13161, 364, 417, 375, 374, 7511, 32352, 23746, 23284, 14756, 356, 19867, 379, 22047, 16043, 500, 14035, 504, 14748, 32352, 7531, 258, 1362, 9977, 272, 912, 258, 672, 1780, 454, 16482, 258, 1362, 9977, 273, 912, 258, 672, 1780, 454, 16482, 258, 1362, 4427, 272, 263, 21122, 272, 2567, 1948, 13127, 491, 499, 14756, 356, 19867, 379, 454, 258, 672, 1780, 454, 16482, 258, 1362, 4427, 273, 263, 21122, 272, 267, 21122, 273, 2187, 258, 672, 1780, 454, 16482, 258, 1820, 263, 8138, 272, 14857, 321, 1162, 1029, 994, 258, 1820, 263, 8138, 273, 14857, 321, 1162, 1029, 2020, 258, 27666, 281, 7090, 273, 18809, 20069, 14756, 493, 10429, 372, 32352, 25520, 13161, 364, 19764, 493, 32352, 454, 258, 476, 13161, 364, 19764, 493, 32352, 281, 14756, 356, 19867, 379, 29072, 15953, 9463, 488, 10429, 370, 31878, 32352, 8147, 31878, 32352, 7511, 31878, 32352, 454, 258, 476, 14756, 493, 10429, 372, 16088, 418, 366, 350, 20069, 14756, 356, 19867, 379, 15953, 692, 258, 27666, 273, 16088, 7090, 274, 18809, 418, 366, 350, 20069, 14756, 356, 19867, 379, 10524, 375, 12916, 499, 32352, 8147, 421, 375, 502, 18777, 353, 14756, 356, 19867, 379, 15953, 32352, 692, 258, 8633, 16088, 7090, 7511, 14035, 504, 14756, 356, 19867, 379, 454, 258, 476, 476, 25263, 502, 30536, 16088, 31878, 32352, 23746, 23284, 12571, 490, 28793, 421, 479, 501, 25263, 510, 14035, 504, 14748, 419, 486, 370, 32352, 7511, 31271, 508, 26233, 356, 8147, 31006, 27962, 30522, 494, 18021, 355, 17295, 364, 19404, 491, 17958, 28786, 419, 510, 479, 454, 258, 476, 22614, 376, 374, 30536, 16088, 454, 258, 11434, 476, 272, 18998, 14756, 356, 19867, 379, 23989, 20001, 378, 7511, 15159, 13601, 26175, 491, 10524, 478, 18263, 486, 2108, 15159, 892, 10524, 478, 18263, 486, 7511, 10429, 367, 419, 367, 375, 454, 258, 11434, 476, 273, 18998, 28786, 419, 510, 479, 7511, 23746, 13644, 375, 26233, 356, 25263, 504, 9463, 502, 26266, 362, 454, 258, 11434, 476, 274, 18998, 21251, 417, 375, 374, 18777, 362, 12916, 379, 17958, 14035, 504, 14756, 356, 19867, 379, 8147, 19867, 358, 31271, 499, 26233, 356, 9463, 502, 26266, 362, 8147, 417, 28187, 31563, 419, 506, 509, 7511, 418, 370, 487, 9463, 488, 28996, 19404, 491, 17958, 14035, 504, 14748, 419, 486, 370, 32352, 7511, 31271, 508, 26233, 356, 8147, 18021, 498, 13644, 354, 12916, 379, 17958, 267, 300, 1460, 1231, 454, 258, 11434, 476, 275, 18998, 20069, 23746, 420, 25693, 25263, 504, 19764, 499, 9463, 495, 420, 493, 365, 25051, 351, 25426, 362, 30903, 502, 454, 258, 476, 273, 18998, 20992, 12916, 499, 28884, 14756, 356, 19867, 379, 16088, 25335, 352, 19540, 367, 32352, 4970, 492, 32352, 18263, 489, 25426, 368, 7511, 28786, 419, 510, 479, 19540, 501, 12916, 503, 25426, 362, 30903, 502, 7531, 258, 476, 274, 18998, 417, 28187, 12916, 499, 14395, 508, 27064, 364, 14756, 356, 19867, 379, 454, 258, 22614, 353, 374, 420, 490, 481, 13601, 454, 258, 1362, 9906, 912, 258, 672, 1153, 815, 1412, 5357, 291, 19447, 312, 7055, 16482, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 4067, 267, 720, 267, 16303, 2187, 258, 1363, 1582, 20508, 815, 2012, 454, 258, 1363, 1582, 269, 720, 815, 2085, 454, 258, 1363, 1582, 269, 16303, 815, 3023, 454, 16482, 258, 672, 1219, 3442, 6831, 6847, 4311, 2187, 258, 1363, 1820, 3488, 260, 338, 17276, 511, 352, 12571, 495, 20881, 487, 13644, 378, 262, 4939, 1345, 20508, 994, 16482, 258, 1362, 11819, 912, 258, 672, 1153, 815, 1412, 5357, 291, 19447, 312, 7055, 16482, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 4067, 267, 720, 267, 16303, 2187, 258, 1363, 1780, 692, 258, 22614, 353, 374, 420, 490, 481, 11590, 490, 454, 5035, 6196, 24742, 10144, 912, 825, 1153, 815, 1412, 5357, 291, 19447, 312, 28847, 825, 1219, 6449, 8181, 9191, 1345, 267, 4067, 267, 720, 267, 16303, 2187, 1038, 1582, 20508, 815, 2012, 454, 1038, 1582, 269, 720, 815, 2085, 454, 1038, 1582, 269, 16303, 815, 3023, 19638, 5035, 9906, 263, 24874, 24742, 10144, 2187, 825, 1948, 1153, 815, 1412, 5357, 291, 19447, 312, 7055, 825, 1948, 454, 825, 1948, 1219, 6449, 8181, 9191, 1345, 267, 4067, 267, 720, 267, 16303, 2187, 825, 1948, 672, 1582, 20508, 815, 2012, 454, 825, 1948, 672, 1582, 269, 720, 815, 2085, 454, 825, 1948, 672, 1582, 269, 16303, 815, 3023, 692, 825, 1219, 3442, 6831, 6847, 4311, 2187, 1038, 1820, 3488, 260, 338, 17276, 511, 352, 12571, 495, 20881, 487, 13644, 378 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 3097, 18411, 7090, 274, 1205, 11390, 903, 18258, 834, 3189, 257, 320, 315, 9899, 11513, 257, 321, 315, 9899, 11513, 257, 322, 315, 9899, 1422, 257, 323, 315, 257, 3686, 348, 4840, 1366, 955, 268, 744, 7473, 303, 7473, 28612, 8894, 303, 1513, 539, 795, 5459, 281, 27835, 320, 9166, 27835, 321, 9166, 27835, 322, 9166, 1412, 323, 262, 3686, 8679, 11390, 903, 281, 18358, 320, 3299, 1412, 321, 3299, 1412, 322, 23300, 11749, 1132, 281, 18358, 323, 23300, 18411, 5814, 795, 5459, 454, 5814, 19523, 454, 329, 5459, 21803, 815, 1412, 346, 257, 320, 9899, 346, 257, 321, 9899, 346, 257, 322, 9899, 257, 323, 257, 3686, 267, 834, 343, 9899, 476, 272, 348, 7055, 604, 7003, 4433, 903, 27769, 341, 264, 3436, 476, 272, 912, 825, 795, 5459, 21803, 815, 19523, 27769, 341, 314, 272, 2639, 12828, 912, 825, 1820, 2891, 5591, 26571, 3177, 267, 1210, 606, 1383, 795, 5459, 5569, 15419, 329, 5459, 303, 1513, 539, 281, 9598, 815, 795, 5459, 269, 2903, 338, 27203, 5459, 21803, 994, 2745, 2891, 303, 1513, 539, 795, 5459, 24333, 795, 5459, 303, 1513, 539, 994, 11161, 815, 11713, 8161, 815, 910, 272, 692, 3698, 1205, 11390, 903, 4517, 11749, 1132, 5560, 5315, 2187, 825, 952, 568, 27349, 5560, 5315, 267, 9598, 2187, 1038, 10569, 815, 1592, 5560, 5315, 269, 12399, 15405, 1038, 2418, 815, 1205, 11749, 1132, 5560, 5315, 994, 1038, 952, 7003, 263, 12399, 264, 3436, 476, 271, 912, 2018, 1126, 4910, 738, 815, 1496, 1326, 11390, 903, 4517, 11749, 1132, 5560, 5315, 20572, 8079, 585, 1535, 538, 10569, 2639, 2018, 585, 1775, 538, 1126, 4910, 738, 912, 3546, 952, 1775, 11203, 7183, 912, 7386, 10569, 269, 2169, 754, 9217, 314, 271, 7481, 7386, 2418, 269, 2169, 754, 9217, 314, 272, 7481, 1038, 2132, 1496, 12399, 267, 2418, 6540, 3698, 1205, 11749, 1132, 5560, 5315, 281, 9598, 2187, 825, 2418, 815, 1592, 5560, 5315, 269, 11161, 15405, 825, 2418, 815, 1592, 6600, 559, 614, 10857, 10033, 1535, 281, 711, 568, 27349, 3287, 267, 9598, 1070, 2418, 4917, 825, 2132, 2418, 692, 12399, 4517, 11749, 1132, 815, 1205, 11390, 903, 4517, 11749, 1132, 27203, 5459, 303, 1513, 539, 994, 2745, 2891, 11390, 903, 24333, 10569, 4517, 11749, 1132, 314, 271, 7481, 2745, 2891, 11749, 1132, 24333, 10569, 4517, 11749, 1132, 314, 272, 8079, 0, 5814, 11885, 607, 5286, 454, 5228, 2979, 1104, 6989, 454, 5814, 621, 1068, 8962, 607, 621, 454, 5228, 10070, 1104, 22388, 267, 18103, 1229, 291, 1112, 454, 258, 5228, 621, 1068, 8962, 1104, 10956, 454, 5814, 27205, 318, 4134, 4740, 607, 521, 323, 454, 5814, 4351, 692, 5035, 590, 7644, 309, 32707, 3041, 290, 3918, 15288, 4433, 323, 2529, 7644, 32707, 3041, 290, 3918, 15288, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 2534, 2187, 1038, 2706, 14061, 1029, 8181, 1029, 4590, 1038, 1582, 269, 13808, 815, 2534, 454, 1038, 1948, 1345, 269, 5471, 815, 1558, 692, 825, 1219, 1205, 318, 13808, 4311, 2187, 1038, 2132, 1582, 269, 13808, 692, 288, 815, 521, 323, 2529, 7644, 32707, 3041, 290, 3918, 15288, 4590, 289, 815, 590, 7644, 309, 32707, 3041, 290, 3918, 15288, 263, 13808, 815, 476, 279, 9239, 3698, 2551, 3799, 267, 1775, 271, 267, 957, 815, 8771, 2187, 825, 8173, 825, 19461, 21289, 513, 2551, 540, 544, 265, 333, 1004, 609, 513, 2016, 5223, 540, 1412, 306, 3299, 1412, 296, 262, 543, 1412, 305, 262, 2829, 543, 2534, 1377, 692, 825, 30352, 912, 825, 910, 715, 281, 7089, 540, 1004, 538, 519, 2551, 454, 825, 910, 1775, 271, 281, 3355, 3968, 2557, 454, 825, 910, 957, 630, 22517, 18978, 2567, 952, 6936, 267, 8069, 616, 3742, 543, 1491, 513, 4351, 2534, 1377, 689, 2039, 263, 280, 994, 4449, 672, 4347, 5435, 281, 8771, 630, 3553, 547, 476, 271, 6393, 825, 16849, 912, 825, 910, 1402, 281, 513, 1592, 540, 5049, 267, 538, 799, 1142, 1362, 4564, 513, 1268, 609, 513, 1533, 630, 306, 270, 296, 24250, 270, 309, 2020, 825, 8173, 825, 1402, 815, 20886, 316, 585, 1775, 538, 621, 18622, 701, 520, 263, 14085, 267, 562, 13580, 1948, 1711, 29005, 1592, 540, 544, 8638, 454, 825, 1003, 318, 296, 815, 6989, 3799, 265, 333, 2608, 1775, 271, 994, 825, 1948, 11133, 318, 306, 815, 6989, 3799, 265, 333, 2608, 521, 271, 994, 825, 585, 4737, 538, 2039, 3799, 2187, 1038, 585, 897, 538, 2039, 3799, 2187, 2018, 952, 957, 2652, 6936, 912, 3546, 2534, 815, 5286, 20179, 26716, 4069, 263, 280, 994, 3546, 1402, 314, 992, 4940, 6572, 22829, 7644, 309, 32707, 3041, 290, 3918, 15288, 263, 13808, 4917, 2018, 3116, 912, 3546, 1402, 314, 992, 4940, 6572, 22829, 7644, 309, 32707, 3041, 290, 3918, 15288, 263, 271, 4917, 825, 10443, 30915, 815, 5286, 20179, 26716, 4069, 5416, 284, 333, 267, 2450, 14352, 11133, 318, 296, 267, 273, 1070, 5372, 18989, 994, 825, 1948, 2745, 263, 3757, 30915, 994, 825, 585, 6221, 538, 10443, 30915, 912, 1038, 1402, 314, 14403, 314, 271, 316, 6012, 14403, 314, 272, 316, 4940, 3553, 26077, 3488, 296, 5073, 825, 2132, 1402, 7531, 3698, 7194, 9638, 641, 2187, 825, 8173, 825, 12433, 519, 6824, 540, 11630, 267, 7783, 267, 543, 6569, 1004, 538, 519, 2551, 692, 825, 30352, 912, 825, 910, 1402, 281, 513, 29005, 1592, 540, 8638, 540, 5049, 267, 538, 799, 1142, 1362, 4564, 513, 1268, 609, 513, 1533, 630, 306, 270, 296, 24250, 270, 309, 2020, 825, 16849, 912, 825, 910, 27205, 341, 318, 2765, 281, 6824, 540, 1142, 1533, 692, 825, 8173, 825, 27205, 341, 14067, 919, 815, 1496, 271, 267, 271, 267, 271, 267, 271, 2639, 825, 1948, 24609, 1592, 540, 8638, 540, 1016, 1790, 641, 2827, 454, 825, 6366, 7272, 641, 815, 1496, 14403, 585, 1016, 16647, 538, 1402, 585, 6221, 538, 1016, 16647, 2639, 825, 1003, 7272, 641, 815, 7003, 263, 29788, 7272, 641, 994, 825, 585, 1268, 538, 6366, 7272, 641, 912, 1038, 952, 1268, 10947, 26077, 3890, 2652, 1412, 306, 12466, 2018, 27205, 341, 14067, 919, 314, 271, 316, 6834, 272, 454, 1038, 8640, 1268, 10947, 26077, 3890, 2652, 1412, 296, 12466, 2018, 27205, 341, 14067, 919, 314, 272, 316, 6834, 272, 454, 1038, 8640, 1268, 10947, 26077, 3890, 2652, 1412, 305, 12466, 2018, 27205, 341, 14067, 919, 314, 273, 316, 6834, 272, 454, 1038, 8640, 1268, 10947, 26077, 3890, 2652, 1412, 309, 12466, 2018, 27205, 341, 14067, 919, 314, 274, 316, 6834, 272, 454, 825, 27205, 341, 318, 2765, 815, 1496, 8063, 270, 11133, 7272, 641, 585, 1533, 538, 27205, 341, 14067, 919, 2639, 825, 2132, 27205, 341, 318, 2765, 7531, 3698, 17066, 9638, 641, 267, 328, 25814, 2187, 825, 8173, 825, 2637, 4733, 265, 2009, 17066, 540, 513, 1268, 17479, 693, 1496, 328, 25814, 316, 538, 519, 2551, 7470, 780, 825, 30352, 912, 825, 910, 1775, 281, 4737, 4994, 454, 825, 910, 795, 281, 6241, 4994, 454, 825, 910, 1402, 281, 513, 29005, 1592, 540, 8638, 540, 5049, 267, 538, 799, 1142, 1362, 4564, 513, 1268, 609, 513, 1533, 630, 306, 270, 296, 24250, 270, 309, 2020, 825, 962, 3658, 912, 825, 910, 17523, 540, 2009, 17066, 540, 519, 1268, 692, 825, 8173, 825, 6366, 7272, 641, 815, 1496, 14403, 585, 1016, 16647, 538, 1402, 585, 6221, 538, 1016, 16647, 2639, 825, 562, 815, 703, 18828, 28460, 12759, 263, 29788, 7272, 641, 21875, 825, 538, 1962, 338, 815, 30585, 272, 267, 476, 271, 267, 476, 272, 2639, 825, 952, 1775, 2652, 476, 271, 912, 1038, 538, 1962, 338, 815, 1496, 271, 267, 476, 272, 2639, 825, 952, 1775, 2652, 562, 268, 272, 912, 1038, 538, 1962, 338, 815, 30585, 272, 267, 476, 271, 2639, 825, 795, 333, 1962, 338, 815, 30585, 272, 267, 476, 271, 267, 476, 272, 2639, 825, 952, 795, 2652, 476, 271, 912, 1038, 795, 333, 1962, 338, 815, 1496, 271, 267, 476, 272, 2639, 825, 952, 795, 2652, 562, 268, 272, 912, 1038, 795, 333, 1962, 338, 815, 30585, 272, 267, 476, 271, 6540, 825, 585, 18232, 10983, 538, 538, 1962, 338, 912, 1038, 585, 18232, 19553, 538, 795, 333, 1962, 338, 912, 2018, 952, 18232, 10983, 2652, 18232, 19553, 2652, 476, 271, 912, 3546, 3136, 454, 2018, 6556, 1775, 1341, 18232, 10983, 267, 795, 1341, 18232, 19553, 7531, 3698, 4351, 29223, 9638, 641, 2187, 825, 8173, 825, 5192, 695, 4428, 1194, 1592, 540, 17523, 540, 519, 2551, 7470, 780, 825, 30352, 912, 825, 910, 1402, 281, 513, 29005, 1592, 540, 8638, 540, 5049, 267, 538, 799, 1142, 1362, 4564, 513, 1268, 609, 513, 1533, 630, 306, 270, 296, 24250, 270, 309, 2020, 825, 16849, 912, 825, 910, 10443, 29223, 281, 513, 695, 4428, 1194, 1592, 540, 17523, 6383, 689, 782, 519, 10659, 540, 562, 3442, 476, 273, 692, 825, 8173, 825, 6366, 7272, 641, 815, 1496, 14403, 585, 1016, 16647, 538, 1402, 585, 6221, 538, 1016, 16647, 2639, 825, 562, 815, 703, 18828, 28460, 12759, 263, 29788, 7272, 641, 21875, 825, 10443, 29223, 815, 1592, 263, 527, 4877, 6055, 263, 9792, 3799, 1070, 10956, 284, 273, 4917, 825, 4351, 11075, 28984, 263, 3757, 29223, 994, 825, 2132, 10443, 29223, 7531, 3698, 1205, 14067, 9850, 9638, 641, 267, 328, 25814, 2187, 825, 8173, 825, 5192, 4567, 540, 513, 1268, 630, 306, 7644, 309, 1533, 543, 2534, 1377, 2020, 825, 30352, 912, 825, 910, 1402, 281, 513, 29005, 1592, 540, 8638, 540, 5049, 267, 538, 799, 1142, 1362, 4564, 513, 1268, 609, 513, 1533, 630, 306, 270, 296, 24250, 270, 309, 2020, 825, 16849, 912, 825, 910, 1533, 267, 2534, 692, 825, 8173, 825, 1533, 815, 1402, 5157, 6012, 329, 4940, 1326, 26077, 4590, 825, 2534, 815, 1402, 5157, 6012, 329, 4940, 1326, 318, 13808, 4590, 825, 2132, 1533, 267, 13808, 7531, 3698, 9337, 14067, 9850, 9638, 641, 267, 328, 25814, 267, 330, 267, 337, 2187, 825, 8173, 825, 22352, 519, 4567, 630, 18485, 2534, 543, 1533, 264, 540, 17066, 630, 306, 7644, 309, 1533, 543, 2534, 1377, 1916, 825, 9577, 17648, 602, 519, 5169, 568, 7783, 23463, 543, 9337, 782, 1004, 30409, 607, 7783, 780, 825, 30352, 912, 825, 910, 1775, 281, 4737, 4994, 540, 519, 5169, 454, 825, 910, 795, 281, 6241, 4994, 540, 519, 5169, 454, 825, 910, 737, 281, 6051, 2557, 454, 825, 910, 678, 281, 3968, 2557, 454, 825, 910, 1402, 281, 513, 29005, 1592, 540, 8638, 540, 5049, 267, 538, 799, 1142, 1362, 4564, 513, 1268, 609, 513, 1533, 630, 306, 270, 296, 24250, 270, 309, 2020, 825, 16849, 912, 825, 910, 7183, 692, 825, 8173, 825, 1533, 318, 10594, 514, 267, 957, 318, 10594, 514, 815, 1205, 14067, 9850, 9638, 641, 267, 328, 25814, 994, 825, 585, 1775, 273, 267, 795, 273, 538, 17066, 9638, 641, 267, 328, 25814, 2187, 1038, 1533, 318, 10594, 514, 267, 957, 318, 10594, 514, 815, 1205, 14067, 9850, 9638, 641, 267, 328, 25814, 994, 1038, 1533, 318, 4186, 267, 957, 318, 4186, 815, 1205, 14067, 9850, 9638, 641, 267, 328, 273, 25814, 273, 994, 1038, 952, 1533, 318, 4186, 2652, 1412, 296, 262, 543, 5286, 20179, 20120, 3890, 2999, 737, 912, 2018, 1402, 5157, 273, 6012, 329, 273, 4940, 8063, 815, 1412, 305, 7055, 1038, 952, 957, 318, 10594, 514, 2652, 476, 271, 912, 2018, 2736, 454, 1038, 8640, 957, 318, 10594, 514, 3436, 476, 271, 543, 957, 318, 4186, 3436, 476, 271, 912, 2018, 1402, 5157, 273, 6012, 329, 273, 4940, 13808, 20699, 272, 454, 2018, 952, 1533, 318, 10594, 514, 2652, 1412, 296, 262, 543, 1533, 318, 4186, 11203, 1412, 309, 262, 543, 5286, 20179, 20120, 3890, 3436, 678, 912, 3546, 1402, 5157, 273, 6012, 329, 273, 4940, 8063, 815, 1412, 296, 7055, 2018, 1402, 5157, 6012, 329, 4940, 13808, 20699, 272, 454, 1038, 8640, 957, 318, 10594, 514, 3436, 476, 271, 543, 957, 318, 4186, 2652, 476, 271, 912, 2018, 3136, 454, 825, 952, 1533, 318, 10594, 514, 2652, 1412, 296, 262, 543, 5286, 20179, 20120, 3890, 2999, 737, 912, 1038, 1402, 5157, 6012, 329, 4940, 8063, 815, 1412, 305, 262, 7531, 3698, 3945, 3729, 9638, 641, 267, 341, 2187, 825, 8173, 825, 7827, 519, 2829, 540, 4351, 8069, 547, 1412, 309, 262, 952, 519, 8069, 262, 1699, 2829, 616, 2901, 1412, 306, 262, 610, 1412, 305, 28847, 825, 30352, 912, 825, 910, 1402, 281, 513, 29005, 1592, 540, 8638, 540, 5049, 267, 538, 799, 1142, 1362, 4564, 513, 1268, 609, 513, 1533, 630, 306, 270, 296, 24250, 270, 309, 994, 825, 910, 642, 281 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 626, 692, 5976, 1930, 263, 17572, 12173, 264, 607, 535, 335, 912, 825, 13274, 601, 626, 815, 535, 335, 18667, 14061, 20889, 19629, 333, 15419, 4802, 601, 626, 815, 1496, 328, 14714, 8692, 3890, 585, 1775, 538, 13274, 601, 626, 2639, 7224, 1993, 338, 13996, 815, 703, 263, 4802, 601, 626, 314, 271, 20285, 2745, 1100, 1993, 338, 13996, 454, 258, 521, 318, 10113, 822, 841, 815, 1496, 271, 585, 1775, 538, 2039, 263, 271, 267, 1100, 1993, 338, 13996, 22708, 258, 1224, 782, 7746, 781, 4398, 454, 338, 2925, 516, 11797, 815, 13274, 601, 626, 314, 272, 281, 7224, 1993, 338, 13996, 1341, 476, 272, 2639, 258, 4990, 782, 7746, 781, 4398, 454, 338, 2925, 516, 11797, 31699, 31107, 284, 15615, 994, 258, 1711, 513, 9598, 585, 12719, 2838, 782, 4570, 1239, 454, 338, 21665, 815, 11713, 322, 3300, 815, 476, 271, 454, 1721, 521, 538, 1583, 3164, 11797, 912, 825, 13763, 6910, 20719, 257, 324, 11797, 9899, 10581, 4433, 1070, 834, 529, 19989, 9899, 6936, 267, 834, 322, 2396, 619, 338, 5703, 9899, 476, 271, 2676, 7386, 834, 18431, 573, 2280, 830, 9899, 476, 271, 269, 1822, 271, 267, 834, 339, 582, 1023, 5703, 5503, 9899, 476, 271, 269, 1822, 271, 267, 834, 573, 2280, 1307, 25871, 9899, 476, 271, 269, 1822, 271, 2676, 7386, 834, 339, 22015, 984, 699, 548, 8491, 9899, 476, 271, 269, 1822, 271, 267, 834, 17213, 9899, 4831, 348, 994, 825, 4831, 6834, 476, 272, 692, 258, 1820, 13763, 454, 1721, 1775, 538, 13763, 912, 825, 1948, 1820, 1775, 454, 825, 1780, 454, 258, 1376, 2542, 20313, 689, 1101, 1268, 454, 322, 2396, 619, 815, 11713, 322, 3300, 815, 476, 271, 454, 1721, 8169, 538, 13274, 601, 626, 314, 7224, 1993, 338, 13996, 1341, 476, 272, 281, 14158, 825, 546, 815, 8169, 21858, 4590, 825, 952, 7003, 5560, 264, 568, 476, 273, 912, 1038, 5561, 6910, 20719, 257, 1551, 2526, 5503, 9899, 10581, 5560, 314, 271, 25818, 834, 9392, 12323, 9899, 10581, 5560, 314, 272, 316, 13211, 4449, 16875, 834, 11232, 27600, 1307, 25871, 514, 28255, 9899, 476, 271, 269, 1822, 271, 267, 834, 529, 15263, 539, 9899, 8771, 2676, 4449, 16875, 834, 17213, 9899, 4831, 348, 994, 1038, 1948, 1820, 5561, 454, 1038, 4831, 6834, 476, 272, 692, 28255, 815, 2715, 257, 322, 2396, 619, 9899, 5561, 267, 834, 24030, 652, 4302, 3241, 2654, 9899, 476, 271, 2676, 1363, 834, 9690, 28255, 9899, 476, 271, 267, 834, 18431, 322, 2396, 1068, 830, 719, 9899, 476, 271, 269, 1822, 271, 267, 834, 320, 2071, 4302, 3241, 2654, 9899, 1496, 3910, 834, 338, 5703, 322, 2396, 518, 9899, 32582, 10926, 258, 1820, 20313, 7531, 3698, 4196, 322, 2396, 518, 6262, 2396, 518, 2187, 825, 6039, 815, 8771, 454, 825, 1948, 1820, 834, 338, 6326, 4840, 825, 13763, 31699, 10857, 10033, 1535, 267, 586, 281, 4699, 335, 3287, 14277, 339, 22015, 984, 699, 548, 8491, 257, 3910, 586, 14277, 17213, 19312, 4917, 825, 585, 521, 538, 13763, 912, 1038, 952, 521, 14277, 529, 19989, 19312, 2652, 6936, 912, 2018, 521, 14277, 322, 2396, 619, 338, 5703, 19312, 6834, 476, 272, 454, 2018, 1948, 521, 14277, 18431, 573, 2280, 830, 19312, 815, 5180, 6262, 2396, 518, 14277, 1551, 2526, 5503, 257, 3910, 275, 994, 2018, 521, 14277, 339, 22015, 984, 699, 548, 8491, 19312, 815, 5180, 4433, 14277, 18431, 573, 2280, 830, 19312, 30492, 14030, 16875, 630, 322, 2396, 518, 14277, 9392, 12323, 19312, 2608, 521, 14277, 324, 11797, 19312, 1070, 476, 275, 994, 2018, 521, 14277, 529, 19989, 19312, 815, 8771, 454, 2018, 521, 14277, 339, 582, 1023, 5703, 5503, 19312, 6834, 5180, 6262, 2396, 518, 14277, 9392, 12323, 31116, 14030, 16875, 2608, 521, 14277, 324, 11797, 257, 3910, 476, 275, 994, 2018, 521, 14277, 573, 2280, 1307, 25871, 19312, 815, 5180, 18692, 3546, 521, 14277, 339, 22015, 984, 699, 548, 8491, 19312, 910, 6075, 14277, 1551, 2526, 5503, 257, 3910, 476, 275, 994, 2018, 6039, 815, 6936, 454, 2018, 2736, 454, 825, 2132, 6039, 267, 6075, 14277, 1551, 2526, 5503, 257, 6540, 258, 1820, 7003, 263, 28255, 14277, 322, 2396, 619, 19312, 9239, 3698, 19268, 8712, 13996, 263, 5503, 2187, 825, 7746, 1326, 24105, 815, 8771, 454, 825, 1071, 815, 476, 271, 454, 825, 13763, 31699, 10857, 10033, 1535, 267, 586, 281, 4699, 335, 3287, 14277, 339, 22015, 984, 699, 548, 8491, 257, 3910, 586, 14277, 17213, 19312, 4917, 825, 585, 521, 538, 13763, 912, 1038, 1948, 1820, 1193, 4433, 14277, 339, 22015, 984, 699, 548, 8491, 257, 8079, 1341, 834, 476, 834, 266, 1598, 263, 5503, 994, 1038, 952, 711, 521, 14277, 529, 19989, 257, 14158, 2018, 952, 5180, 4433, 14277, 339, 22015, 984, 699, 548, 8491, 257, 3910, 476, 275, 264, 2608, 476, 1911, 876, 3436, 5180, 263, 5503, 267, 476, 275, 264, 2608, 476, 1911, 876, 912, 3546, 521, 14277, 529, 19989, 19312, 815, 6936, 454, 3546, 7746, 1326, 24105, 815, 6936, 454, 3546, 1071, 6834, 476, 272, 454, 3546, 1948, 2736, 454, 1038, 3116, 912, 2018, 521, 14277, 18431, 573, 2280, 830, 19312, 815, 942, 454, 2018, 7746, 1326, 24105, 815, 6936, 454, 825, 2132, 7746, 1326, 24105, 7531, 4593, 6817, 815, 6936, 454, 9690, 5503, 815, 476, 271, 269, 1822, 271, 7531, 3698, 1985, 338, 518, 3200, 984, 699, 548, 8491, 10031, 825, 2518, 568, 21406, 454, 825, 13763, 31699, 10857, 10033, 1535, 267, 586, 281, 4699, 335, 3287, 14277, 17213, 257, 3910, 586, 14277, 339, 22015, 984, 699, 548, 8491, 19312, 4917, 825, 2132, 13763, 314, 271, 6012, 262, 339, 22015, 984, 699, 548, 8491, 23300, 825, 952, 568, 21406, 912, 1038, 1820, 834, 325, 1400, 4840, 1038, 1820, 13763, 314, 271, 6012, 262, 339, 22015, 984, 699, 548, 8491, 23300, 1038, 1820, 13763, 314, 272, 6012, 262, 339, 22015, 984, 699, 548, 8491, 23300, 1038, 1820, 834, 338, 21665, 4840, 1038, 585, 521, 538, 13763, 912, 2018, 1820, 521, 454, 1038, 568, 21406, 815, 8771, 7531, 4302, 3241, 2654, 815, 476, 271, 454, 529, 28255, 19989, 815, 8771, 454, 10113, 5503, 815, 476, 271, 269, 1822, 271, 454, 11445, 1746, 28255, 815, 11713, 339, 787, 912, 825, 1247, 7003, 263, 28255, 14277, 322, 2396, 619, 257, 8079, 3436, 476, 271, 912, 1038, 1948, 952, 606, 903, 13996, 822, 658, 762, 10031, 1038, 1948, 952, 568, 28255, 19989, 912, 1038, 1948, 672, 1615, 5703, 815, 7746, 322, 2396, 518, 263, 11445, 1746, 28255, 314, 271, 7481, 1038, 1948, 3116, 912, 1038, 1615, 5703, 267, 1699, 5503, 815, 4196, 322, 2396, 518, 263, 28255, 14277, 322, 2396, 619, 257, 6012, 271, 7481, 1038, 952, 1615, 5703, 912, 2018, 1948, 1402, 602, 6075, 454, 2018, 1820, 834, 16647, 6244, 2433, 834, 1341, 1193, 263, 28255, 14277, 322, 2396, 619, 257, 6012, 271, 6012, 257, 17213, 257, 7481, 2018, 20313, 14277, 322, 2396, 619, 257, 4940, 16647, 263, 271, 994, 2018, 1820, 20313, 14277, 322, 2396, 619, 257, 6012, 271, 6012, 257, 1551, 2526, 5503, 31116, 2018, 585, 521, 538, 13763, 912, 3546, 1820, 521, 14277, 339, 22015, 984, 699, 548, 8491, 31116, 1038, 1948, 3116, 912, 1038, 952, 711, 19268, 8712, 13996, 263, 28255, 14277, 322, 2396, 619, 257, 6012, 271, 6012, 257, 1551, 2526, 5503, 19312, 2187, 2018, 1948, 649, 3893, 693, 2547, 476, 272, 7746, 1863, 454, 2018, 1948, 585, 1985, 4783, 454, 2018, 1780, 454, 2018, 1985, 5503, 815, 476, 271, 269, 1822, 271, 454, 1038, 3116, 912, 2018, 1780, 454, 2018, 1948, 2226, 20313, 454, 2018, 1948, 568, 28255, 19989, 815, 6936, 454, 2018, 1948, 7996, 28255, 6910, 263, 28255, 14277, 322, 2396, 619, 257, 4940, 16647, 263, 271, 4917, 2018, 1948, 1985, 5503, 815, 1985, 338, 518, 3200, 984, 699, 548, 8491, 10797, 21955, 912, 825, 1948, 1820, 552, 454, 825, 9103, 1023, 5703, 815, 476, 271, 454, 825, 9103, 1023, 5703, 5503, 815, 476, 271, 269, 1822, 271, 454, 825, 585, 521, 538, 13763, 912, 1038, 1948, 1820, 521, 454, 1038, 1820, 834, 306, 13996, 834, 1341, 1193, 4433, 14277, 17213, 257, 8079, 1341, 834, 281, 4840, 1038, 1820, 834, 306, 5703, 21436, 2433, 834, 1341, 1193, 4433, 14277, 322, 2396, 619, 338, 5703, 257, 7481, 1038, 1820, 834, 8310, 6075, 6039, 942, 2433, 834, 1341, 1193, 4433, 14277, 339, 22015, 984, 699, 548, 8491, 257, 7481, 1038, 1820, 834, 13707, 4419, 539, 942, 2433, 834, 1341, 1193, 4433, 14277, 339, 582, 1023, 5703, 5503, 257, 7481, 1038, 1820, 834, 8310, 16740, 548, 5384, 2433, 834, 1341, 1193, 4433, 14277, 18431, 573, 2280, 830, 257, 7481, 1038, 9103, 1023, 5703, 6834, 521, 14277, 322, 2396, 619, 338, 5703, 31116, 1038, 9103, 1023, 5703, 5503, 6834, 5180, 4433, 14277, 339, 582, 1023, 5703, 5503, 257, 3910, 476, 275, 994, 1038, 1820, 834, 5785, 734, 4840, 825, 1820, 834, 13707, 4419, 539, 21436, 2433, 834, 1341, 1193, 6025, 582, 1023, 5703, 994, 825, 1820, 834, 13707, 4419, 539, 5384, 2433, 834, 1341, 1193, 6025, 582, 1023, 5703, 5503, 994, 338, 13996, 815, 1930, 2891, 338, 13996, 21606, 2580, 1412, 342, 5073, 258, 5561, 21591, 0, 5814, 2979, 454, 2745, 19629, 333, 272, 269, 4696, 291, 29146, 29146, 29146, 29146, 29146, 273, 2529, 18510, 14826, 274, 8160, 8085, 9143, 14877, 29146, 29146, 29146, 29146, 275, 6185, 4353, 22432, 14826, 276, 8160, 7495, 8085, 302, 29146, 29146, 29146, 29146, 277, 269, 3008, 289, 5357, 7473, 292, 14826, 278, 2529, 304, 20670, 29146, 29146, 29146, 29146, 29146, 279, 5861, 18510, 2207, 302, 5588, 14826, 280, 2529, 12702, 22664, 29146, 29146, 29146, 29146, 1015, 5861, 18510, 292, 14826, 1556, 8542, 6261, 8582, 2207, 29146, 29146, 29146, 29146, 1321, 12171, 16898, 3036, 24361, 3799, 256, 9385, 333, 1724, 269, 4596, 11586, 2562, 9569, 3799, 24979, 9385, 333, 5602, 641, 815, 1412, 13433, 7055, 6112, 1566, 31573, 3890, 2652, 1412, 13433, 12466, 453, 514, 335, 815, 703, 9272, 28361, 333, 11767, 20491, 281, 1412, 4917, 14851, 538, 335, 2652, 476, 272, 912, 453, 453, 641, 272, 267, 641, 273, 815, 3403, 28361, 333, 11767, 1766, 1343, 281, 1412, 1040, 20889, 4590, 453, 13537, 28361, 333, 4910, 738, 2433, 22207, 754, 8782, 5073, 453, 13537, 17301, 263, 641, 272, 11924, 842, 263, 641, 273, 4917, 453, 19197, 538, 335, 2652, 476, 273, 912, 453, 453, 641, 272, 267, 641, 273, 815, 3403, 28361, 333, 11767, 1766, 1343, 281, 1412, 1040, 20889, 4590, 453, 13537, 28361, 333, 4910, 738, 2433, 22207, 754, 8782, 5073, 453, 13537, 17301, 263, 641, 272, 9984, 842, 263, 641, 273, 4917, 453, 19197, 538, 335, 2652, 476, 274, 912, 453, 453, 641, 272, 267, 641, 273, 815, 3403, 28361, 333, 11767, 1766, 1343, 281, 1412, 1040, 20889, 4590, 453, 13537, 28361, 333, 4910, 738, 2433, 22207, 754, 8782, 5073, 453, 13537, 17301, 263, 641, 272, 12684, 842, 263, 641, 273, 4917, 453, 19197, 538, 335, 2652, 476, 275, 912, 453, 453, 641, 272, 267, 641, 273, 815, 3403, 28361, 333, 11767, 1766, 1343, 281, 1412, 1040, 20889, 4590, 453, 13537, 28361, 333, 4910, 738, 2433, 22207, 754, 8782, 5073, 453, 13537, 17301, 17301, 263, 641, 272, 8358, 842, 263, 641, 273, 21875, 453, 19197, 538, 335, 2652, 476, 276, 912, 453, 453, 641, 272, 267, 641, 273, 815, 3403, 28361, 333, 11767, 1766, 1343, 281, 1412, 1040, 20889, 4590, 453, 13537, 28361, 333, 4910, 738, 2433, 22207, 754, 8782, 5073, 453, 13537, 17301, 263, 641, 272, 264, 260, 842, 263, 641, 273, 4917, 453, 19197, 538, 335, 2652, 476, 277, 912, 453, 453, 641, 272, 815, 703, 9272, 28361, 333, 11767, 1766, 663, 281, 1412, 4917, 453, 13537, 28361, 333, 4910, 738, 2433, 1412, 266, 1598, 263, 11274, 263, 641, 272, 21875, 453, 19197, 538, 335, 2652, 476, 278, 912, 453, 453, 641, 272, 815, 703, 9272, 28361, 333, 11767, 1766, 663, 281, 1412, 4917, 453, 13537, 28361, 333, 4910, 738, 2433, 1412, 266, 1598, 263, 4118, 28460, 263, 641, 272, 21875, 453, 19197, 538, 335, 2652, 476, 279, 912, 453, 453, 641, 272, 815, 703, 9272, 28361, 333, 11767, 1766, 663, 281, 1412, 4917, 453, 13537, 28361, 333, 4910, 738, 2433, 22207, 754, 8782, 5073, 453, 13537, 9638, 578, 263, 641, 272, 267, 272, 270, 274, 4917, 453, 19197, 538, 335, 2652, 476, 280, 912, 453, 453, 641, 272, 815, 703, 9272, 28361, 333, 11767, 1766, 663, 281, 1412, 4917, 453, 13537, 28361, 333, 4910, 738, 2433, 1412, 266, 1598, 9230, 641, 272, 265, 641, 272, 21875, 453, 19197, 538, 335, 2652, 476, 1015, 912, 453 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 8138, 339, 3555, 6096, 1280, 6103, 476, 274, 1107, 15026, 4569, 6096, 2488, 2640, 547, 2043, 540, 1169, 2085, 1895, 269, 1358, 723, 3893, 9118, 2979, 3877, 13890, 547, 946, 585, 2259, 538, 918, 268, 1321, 2157, 269, 1358, 3382, 1169, 1641, 2339, 538, 519, 3141, 267, 689, 1840, 543, 12408, 267, 547, 5506, 543, 7194, 267, 547, 8454, 269, 2353, 540, 873, 2285, 3007, 547, 2866, 4909, 2979, 7207, 267, 950, 4051, 532, 1453, 875, 547, 4628, 9787, 2979, 3330, 513, 3078, 1259, 269, 8479, 1453, 666, 1265, 856, 543, 2259, 741, 2979, 1344, 267, 513, 2603, 18334, 3379, 547, 789, 1223, 609, 968, 574, 2602, 543, 1293, 892, 6030, 563, 21930, 9094, 1616, 547, 3605, 676, 14139, 543, 3257, 741, 1655, 2238, 269, 15026, 2979, 3211, 543, 15460, 1450, 873, 547, 1265, 856, 4352, 2348, 513, 1390, 942, 269, 15026, 2979, 2228, 3756, 267, 13410, 543, 3211, 543, 2238, 616, 2139, 538, 513, 1297, 540, 12043, 267, 971, 607, 21584, 3758, 267, 2854, 1257, 267, 6394, 267, 543, 6394, 269, 2353, 596, 723, 547, 798, 568, 2824, 519, 3758, 3898, 602, 596, 1522, 1616, 267, 1883, 538, 707, 1126, 779, 2012, 267, 3442, 519, 2534, 610, 3014, 267, 543, 596, 786, 723, 707, 1942, 6954, 960, 602, 596, 666, 1820, 856, 1896, 2053, 607, 596, 991, 610, 1616, 269, 15026, 8755, 6486, 786, 849, 581, 2653, 547, 1118, 543, 2709, 3885, 543, 14609, 625, 563, 8138, 339, 3555, 6096, 1280, 6103, 476, 274, 2709, 596, 3214, 519, 4316, 547, 2259, 741, 2979, 25727, 1247, 3478, 513, 1745, 585, 602, 2035, 269, 898, 2337, 1628, 741, 1582, 6015, 543, 5932, 741, 16166, 269, 8479, 9094, 1451, 2979, 676, 2259, 543, 3257, 267, 711, 3274, 676, 2542, 998, 1257, 5048, 3137, 538, 519, 2979, 5396, 269, 15026, 2979, 8755, 3381, 3756, 267, 6486, 543, 3211, 543, 2238, 948, 3214, 2259, 741, 2979, 5759, 267, 1247, 2348, 513, 1434, 942, 609, 519, 3169, 1482, 942, 563, 8138, 339, 3555, 6096, 1280, 6103, 476, 274, 616, 1434, 585, 1453, 538, 9251, 267, 9656, 267, 607, 1134, 607, 585, 1346, 538, 22984, 1153, 543, 1153, 269, 15026, 2979, 3211, 666, 581, 1031, 607, 1620, 3309, 2979, 5396, 267, 7132, 789, 1118, 1390, 17758, 585, 22920, 543, 6662, 9591, 269, 1358, 1118, 8748, 11812, 543, 5428, 7957, 832, 17246, 9500, 1485, 6105, 543, 9702, 12405, 267, 607, 1134, 607, 1022, 824, 2027, 8317, 269, 1656, 607, 789, 616, 865, 2241, 547, 1711, 543, 1367, 1125, 267, 789, 666, 1118, 8748, 3091, 585, 2828, 543, 1894, 267, 2370, 3283, 899, 547, 10536, 7792, 2979, 3211, 607, 10516, 2093, 269, 4746, 267, 789, 616, 513, 1390, 3926, 585, 3384, 2979, 7207, 585, 3214, 945, 616, 4358, 547, 13599, 593, 741, 1378, 267, 607, 1134, 563, 4002, 11060, 2979, 7044, 3761, 1900, 8386, 25686, 2866, 585, 8026, 707, 2979, 5759, 269, 4841, 786, 1451, 3982, 2979, 3584, 950, 2348, 1187, 7487, 606, 4950, 1759, 2979, 3381, 269, 2201, 519, 4950, 2979, 3381, 18862, 616, 513, 1187, 1259, 585, 1053, 547, 2259, 741, 8691, 25727, 267, 1840, 1344, 267, 12408, 25727, 267, 2059, 609, 824, 12980, 2409, 269, 4569, 2259, 3381, 4245, 616, 585, 9042, 547, 3875, 3584, 971, 607, 10789, 267, 25226, 543, 16387, 25334, 2225, 270, 10574, 267, 20145, 267, 7132, 811, 563, 8138, 339, 3555, 6096, 1280, 6103, 476, 274, 616, 2706, 2653, 547, 946, 267, 3560, 762, 267, 543, 10464, 269, 1452, 616, 3335, 8748, 5363, 1344, 593, 16706, 930, 540, 519, 9118, 12980, 2152, 6045, 538, 1022, 1259, 1362, 5232, 267, 689, 9656, 547, 1164, 1153, 269, 1358, 616, 849, 513, 8748, 1505, 547, 3489, 17938, 1791, 566, 543, 11791, 585, 3610, 543, 31908, 543, 546, 6758, 8449, 269, 15026, 2979, 8755, 543, 3211, 6486, 666, 581, 513, 3078, 543, 3608, 1259, 547, 4217, 3214, 2259, 741, 12980, 6791, 269, 0, 10908, 583, 600, 622, 568, 513, 1360, 1459, 12146, 538, 519, 1426, 2872, 269, 898, 568, 538, 1249, 2111, 547, 2285, 8137, 547, 1114, 3536, 269, 2913, 779, 1265, 856, 922, 3601, 543, 1946, 621, 568, 2808, 5906, 563, 2691, 7231, 609, 22965, 600, 622, 267, 835, 1590, 1589, 540, 606, 19605, 602, 538, 519, 1426, 2872, 267, 607, 1134, 607, 538, 519, 10051, 267, 568, 1031, 607, 513, 8137, 2573, 22083, 1547, 1403, 267, 593, 519, 824, 1688, 267, 835, 13300, 1018, 22965, 600, 622, 568, 267, 689, 513, 2930, 1448, 540, 2070, 267, 713, 568, 519, 6070, 540, 22965, 25271, 3679, 799, 568, 4986, 811, 982, 606, 11254, 3679, 1851, 519, 1082, 602, 2285, 3337, 547, 5946, 543, 799, 568, 4061, 1459, 538, 1082, 3940, 3536, 269, 543, 25496, 269, 1809, 1946, 568, 922, 7004, 883, 9770, 22965, 600, 622, 2808, 865, 5739, 286, 2913, 779, 1265, 856, 811, 563, 10908, 583, 600, 622, 281, 568, 621, 3983, 610, 1434, 286, 3371, 779, 1018, 596, 991, 547, 917, 454, 4131, 779, 1376, 676, 6031, 602, 519, 4332, 540, 22965, 600, 622, 607, 513, 8869, 19605, 568, 1813, 547, 513, 5545, 2447, 626, 945, 267, 1310, 13844, 621, 689, 13479, 267, 31601, 513, 1259, 547, 3132, 621, 4358, 689, 10568, 15347, 563, 5804, 713, 12146, 2501, 519, 4583, 2165, 19804, 9564, 602, 14439, 1346, 3536, 609, 513, 5180, 8137, 563, 4415, 519, 8574, 540, 942, 621, 814, 2097, 547, 513, 3114, 20185, 540, 519, 1482, 269, 6904, 1500, 621, 782, 811, 2067, 269, 7316, 568, 22965, 600, 622, 1336, 267, 1287, 286, 901, 12146, 568, 1459, 538, 782, 2472, 602, 2356, 2154, 513, 2178, 543, 29902, 8137, 269, 3807, 1589, 540, 13365, 267, 536, 537, 650, 517, 18695, 543, 1082, 4853, 2472, 602, 28297, 741, 8137, 547, 922, 4527, 563, 2026, 585, 519, 1455, 3661, 602, 1395, 657, 18754, 22965, 600, 622, 568, 5739, 267, 519, 31246, 6347, 630, 28158, 5253, 16470, 16958, 264, 814, 3964, 602, 538, 1507, 9830, 713, 12146, 568, 711, 5906, 563, 3383, 1946, 568, 22965, 600, 622, 6757, 286, 898, 666, 581, 1767, 602, 621, 3587, 865, 1152, 952, 10057, 1419, 543, 538, 1164, 9830, 269, 5015, 267, 972, 949, 581, 1004, 945, 616, 3226, 6213, 547, 713, 12146, 543, 945, 666, 4061, 1020, 8801, 6547, 547, 922, 6981, 563, 6546, 1767, 267, 621, 568, 711, 1256, 513, 1426, 602, 568, 1434, 585, 596, 543, 713, 568, 1317, 621, 568, 3638, 538, 6070, 543, 2356, 1031, 538, 3536, 602, 267, 7488, 540, 922, 4527, 267, 616, 1869, 14432, 563, 1692, 547, 2057, 22965, 600, 622, 286, 16639, 602, 2270, 621, 454, 2690, 1346, 945, 1246, 513, 2635, 2732, 1759, 593, 2067, 3536, 267, 9319, 22965, 600, 622, 568, 1419, 513, 1483, 1272, 3903, 269, 1677, 798, 713, 267, 2705, 267, 649, 1590, 2628, 3007, 547, 519, 1082, 4408, 609, 799, 621, 568, 17332, 538, 1585, 3536, 563, 1103, 1840, 547, 519, 5929, 2262, 532, 2073, 621, 666, 538, 1249, 581, 1336, 607, 513, 13803, 1349, 267, 29230, 7458, 5946, 267, 3940, 2030, 1349, 610, 609, 519, 3355, 338, 661, 30663, 543, 661, 27698, 563, 7883, 532, 547, 519, 3536, 602, 616, 1419, 3638, 538, 621, 649, 3314, 519, 15837, 13365, 538, 11435, 267, 519, 7873, 2939, 27156, 267, 519, 8216, 30653, 267, 519, 27574, 27130, 267, 519, 13306, 2073, 519, 1147, 574, 328, 267, 930, 14546, 267, 519, 13792, 533, 11170, 553, 543, 1256, 930, 10425, 563, 303, 11691, 3007, 547, 519, 10297, 568, 4061, 1898, 585, 513, 6297, 543, 2922, 2732, 563, 305, 760, 1238, 345, 7748, 1567, 969, 1092, 9736, 910, 654, 307, 454, 289, 3147, 531, 14504, 782, 320, 1309, 653, 25458, 2088, 281, 513, 3638, 8670, 540, 519, 7969, 2245, 454, 290, 617, 782, 320, 1309, 653, 25458, 2088, 568, 513, 8949, 8670, 1759, 593, 3165, 543, 1135, 31980, 267, 6093, 540, 519, 11951, 540, 29443, 25625, 543, 10469, 16587, 19601, 26108, 2530, 1354, 707, 1974, 281, 1018, 789, 666, 5815, 454, 289, 548, 5338, 1354, 707, 1974, 666, 581, 4625, 3339, 269, 2913, 781, 1265, 856, 1946, 621, 4523, 543, 875, 547, 957, 269, 1879, 649, 2483, 307, 709, 339, 538, 23240, 281, 585, 513, 2241, 543, 17705, 3165, 8670, 2336, 2171, 2972, 513, 1769, 855, 1360, 17705, 2034, 1576, 267, 29607, 538, 23240, 267, 2653, 547, 5965, 543, 4998, 585, 3165, 18798, 19601, 4131, 779, 5965, 519, 3777, 6390, 267, 519, 6014, 14735, 538, 519, 3337, 540, 513, 2909, 573, 454, 289, 629, 6390, 568, 513, 682, 822, 2989, 14735, 3638, 538, 6492, 543, 799, 568, 4742, 811, 543, 811, 1634, 849, 538, 7977, 269, 2913, 781, 2483, 2419, 1157, 701, 320, 2759, 2280, 281, 5820, 543, 4388, 585, 8600, 513, 2027, 8670, 454, 763, 7105, 701, 320, 2759, 2280, 11600, 568, 16887, 2966, 585, 1346, 3168, 585, 513, 8949, 8670, 547, 14595, 609, 5779, 610, 3165, 1862, 0, 5319, 768, 748, 26058, 723, 1044, 1500, 538, 519, 2063, 8717, 4724, 519, 1646, 540, 13663, 10074, 1759, 593, 26898, 540, 519, 840, 268, 2044, 628, 24945, 6776, 5933, 540, 519, 21313, 269, 6764, 4809, 3356, 814, 849, 1044, 1500, 2509, 6771, 1532, 24286, 10074, 630, 24392, 1100, 6669, 538, 713, 7121, 814, 1044, 7318, 538, 3425, 607, 2943, 267, 971, 513, 4693, 568, 9709, 1040, 1452, 3646, 3077, 1079, 540, 519, 1614, 1034, 7925, 5933, 540, 519, 21313, 1272, 4783, 543, 1223, 267, 952, 3811, 267, 4196, 607, 519, 4493, 585, 10074, 602, 2149, 1312, 2043, 543, 2950, 269, 1717, 267, 891, 10074, 949, 581, 2500, 538, 1447, 982, 476, 1911, 260, 540, 519, 18764, 2043, 267, 543, 972, 1522, 581, 2370, 1198, 593, 13663, 24896, 543, 9019, 538, 2043, 945, 1831, 7783, 538, 19220, 540, 741, 946, 269, 3509, 4600, 3494, 602, 10074, 1996, 1973, 5933, 1223, 581, 2500, 538, 713, 2543, 563, 3080, 1973, 22533, 6669, 267, 1759, 593, 513, 10991, 26733, 18970, 11280, 607, 9501, 325, 5780, 267, 2919, 676, 3220, 269, 2494, 3241, 4793, 541, 5797, 334, 543, 32283, 619, 267, 814, 1044, 4080, 547, 581, 3759, 20160, 896, 1978, 2175, 267, 8716, 2417, 960, 538, 713, 1858, 269, 0, 28036, 568, 5310, 835, 540, 519, 2547, 6594, 1480, 2238, 269, 4634, 1498, 1082, 2835, 543, 2090, 723, 1044, 2854, 827, 621, 267, 3744, 1869, 10990, 593, 1946, 649, 991, 9909, 269, 2913, 779, 2119, 547, 4137, 856, 1018, 9909, 2874, 540, 543, 1018, 2495, 789, 666, 4163, 585, 6616, 6000, 563, 21995, 28636, 540, 14134, 338, 454, 1432, 568, 519, 2495, 540, 9909, 286, 7073, 2257, 814, 693, 2547, 513, 18797, 6436, 3823, 741, 2495, 543, 5169, 269, 1358, 616, 7168, 1114, 689, 1142, 824, 538, 2474, 540, 7664, 267, 855, 3025, 23216, 602, 9909, 616, 1759, 593, 1483, 2621, 602, 649, 1995, 1282, 519, 24971, 1974, 269, 3371, 616, 1175, 513, 1906, 540, 1346, 6436, 912, 268, 590, 10176, 1495, 22506, 2808, 9909, 538, 513, 2864, 7522, 2460, 269, 1261, 5156, 789, 941, 519, 4082, 540, 938, 6456, 630, 10517, 5962, 264, 13821, 269, 901, 3069, 729, 1201, 3176, 10502, 1317, 540, 922, 7522, 1145, 269, 1717, 267, 621, 1281, 711, 2258, 622, 519, 1249, 602, 621, 568, 13148, 3020, 563, 268, 5261, 12358, 327, 4752, 630, 928, 1755, 322, 4321, 3069, 264, 5156, 602, 9909, 616, 1447, 23913, 543, 811, 3929, 269, 2334, 568, 267, 538, 9909, 267, 538, 1010, 6644, 267, 938, 5114, 543, 4664, 3823, 930, 2621, 7173, 841, 563, 268, 18681, 808, 773, 2808, 9909, 607, 513, 27139, 3942, 1063, 2324, 543, 1279, 3856, 3965, 269, 3131, 1200, 2856, 267, 1239, 568, 9268, 267, 543, 519, 2634, 8357, 3278, 519, 9715, 1995, 543, 1983, 1282, 3207, 563, 268, 4165, 16210, 4860, 976, 340, 334, 11099, 602, 538, 9909, 267, 938, 2634, 3631, 5906, 543, 19408, 3871, 543, 3976, 1568, 856, 1585, 3270, 540, 2623, 602, 596, 630, 13607, 1113, 569, 264, 666, 4019, 538, 519, 2104, 563, 268, 30129, 20122, 5459, 4769, 1406, 1294, 1022, 1448, 538, 9909, 269, 1261, 5156, 789, 941, 513, 2427, 1198, 540, 519, 2634, 779, 5122, 2534, 563, 763, 5354, 540, 6436, 18562, 6166, 519, 2856, 602, 9909, 267, 538, 835, 1259, 610, 1776, 267, 2992, 938, 5872, 609, 519, 3544, 1158, 563, 291, 3195, 338, 616, 711, 1175, 513, 1305, 540, 7493, 2592, 855, 513, 4015, 540, 3388, 596, 723, 2907, 11402, 269, 898, 568, 5156, 602, 596, 786, 711, 581, 2111, 547, 1294, 538, 513, 5326, 1018, 596, 723, 711, 2938, 538, 1483, 1272, 269, 1809, 1946, 798, 649, 3314 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 314, 8379, 24774, 4338, 263, 272, 13580, 306, 9231, 693, 1250, 11380, 267, 1175, 936, 513, 13304, 779, 3802, 689, 14412, 8065, 267, 519, 3135, 1141, 3627, 670, 4545, 1442, 28020, 2322, 1010, 15040, 593, 519, 16672, 540, 14412, 267, 594, 666, 1406, 948, 855, 2992, 593, 1946, 649, 8661, 519, 19549, 540, 5147, 563, 2691, 649, 1589, 540, 519, 19549, 267, 938, 8186, 3335, 7914, 547, 32030, 267, 1612, 3547, 267, 3046, 2041, 13196, 267, 13836, 543, 1920, 22653, 687, 267, 10838, 1082, 824, 942, 3620, 517, 1819, 5389, 269, 2290, 3364, 596, 949, 2760, 1589, 827, 1282, 713, 11812, 540, 938, 2197, 779, 7115, 568, 9204, 269, 1717, 267, 9204, 616, 11371, 1231, 1227, 5532, 547, 519, 4838, 602, 3366, 547, 938, 4182, 779, 5191, 563, 2171, 1590, 333, 1406, 7340, 1946, 649, 29428, 713, 1554, 1142, 1032, 269, 2290, 540, 519, 22624, 938, 2062, 15289, 338, 10692, 585, 729, 519, 1318, 547, 1711, 938, 1378, 3454, 1062, 267, 835, 538, 799, 649, 941, 3454, 539, 1152, 676, 938, 1378, 11221, 8387, 269, 634, 1977, 7169, 729, 538, 851, 838, 13899, 676, 519, 8360, 968, 339, 1314, 566, 1510, 6041, 568, 28112, 15967, 1848, 898, 729, 9444, 513, 24255, 6862, 606, 1843, 542, 547, 519, 2856, 540, 9204, 267, 855, 2864, 547, 519, 3668, 540, 6041, 1851, 1346, 945, 4956, 1018, 519, 9204, 1131, 581, 269, 15439, 2322, 267, 621, 729, 513, 6161, 827, 968, 4621, 550, 3034, 2691, 6628, 13684, 513, 3126, 540, 1463, 9204, 593, 519, 1977, 10125, 267, 2663, 1634, 607, 519, 853, 2086, 2920, 267, 4553, 676, 519, 2271, 11217, 762, 20450, 267, 1082, 21152, 2808, 519, 4031, 547, 581, 24648, 527, 1493, 543, 513, 18670, 540, 741, 2924, 607, 2296, 5443, 269, 634, 21152, 941, 711, 1843, 532, 593, 519, 12406, 602, 519, 9204, 941, 1164, 630, 16269, 941, 267, 538, 1249, 267, 1970, 1070, 855, 2864, 602, 789, 1185, 1100, 6041, 538, 12057, 269, 12057, 29739, 621, 1185, 519, 1318, 547, 682, 11803, 1022, 3454, 1510, 7810, 13170, 547, 6542, 602, 621, 1185, 6392, 936, 519, 10125, 563, 9213, 267, 7064, 547, 519, 12483, 1652, 3646, 540, 938, 15713, 18971, 267, 649, 723, 538, 1747, 513, 1062, 602, 2636, 721, 547, 1528, 8387, 540, 938, 7446, 267, 945, 538, 2490, 616, 9901, 609, 519, 4305, 540, 2870, 519, 3454, 4031, 602, 786, 4324, 721, 1034, 607, 513, 2486, 267, 711, 8209, 607, 2043, 269, 901, 1032, 1373, 606, 9550, 1032, 2488, 513, 17501, 20457, 585, 10452, 593, 891, 22624, 269, 12525, 4507, 616, 2141, 513, 3905, 569, 23503, 1888, 1142, 9550, 4005, 267, 543, 649, 616, 6488, 539, 519, 4316, 547, 5873, 1142, 11134, 779, 18879, 1354, 649, 6430, 799, 1367, 547, 8917, 585, 543, 945, 786, 6038, 2099, 721, 693, 519, 3349, 585, 3454, 1876, 5250, 269, 9521, 938, 7810, 21530, 25600, 267, 649, 616, 2111, 547, 3442, 938, 1378, 6041, 547, 1694, 10838, 519, 1895, 540, 14519, 563, 7212, 1100, 1367, 610, 2754, 666, 581, 1767, 547, 2972, 9878, 9204, 267, 543, 1247, 938, 12525, 8943, 568, 7294, 543, 2484, 689, 3501, 630, 9767, 1223, 1293, 519, 1297, 540, 3817, 538, 519, 12525, 8943, 538, 476, 10082, 277, 593, 835, 1688, 282, 2221, 621, 6763, 693, 513, 31417, 3259, 540, 811, 982, 476, 1626, 267, 1822, 3817, 1070, 649, 538, 3013, 723, 519, 5191, 547, 7521, 938, 3454, 4031, 1510, 4250, 540, 1427, 531, 2747, 269, 1284, 666, 723, 1930, 543, 9237, 5717, 827, 875, 938, 3454, 19614, 616, 6170, 269, 2290, 1522, 267, 538, 1249, 267, 2161, 602, 649, 616, 29341, 547, 581, 2111, 547, 2628, 9204, 282, 621, 779, 851, 540, 938, 13348, 5328, 10279, 607, 4892, 538, 513, 1863, 9111, 563, 3383, 950, 596, 2461, 9361, 609, 707, 1920, 543, 2828, 8384, 519, 32030, 1397, 713, 19549, 540, 5147, 267, 1810, 1406, 7340, 547, 5660, 1018, 1346, 2367, 543, 2021, 10692, 585, 811, 982, 476, 15996, 1296, 3516, 269, 594, 993, 711, 6998, 596, 547, 4142, 6510, 707, 14412, 4303, 11812, 547, 9204, 267, 6862, 1131, 594, 2503, 596, 547, 269, 1809, 2864, 267, 594, 4126, 596, 786, 3247, 585, 1175, 835, 4090, 547, 11760, 543, 581, 18507, 585, 519, 22624, 543, 22864, 649, 723, 1317, 540, 1346, 12703, 2367, 543, 2021, 563, 7692, 595, 3511, 4428, 10008, 568, 16628, 540, 9977, 324, 6826, 731, 267, 513, 1283, 476, 1839, 8051, 543, 3454, 2533, 6109, 609, 13646, 2429, 519, 11068, 268, 4263, 23007, 563, 8802, 3563, 610, 21189, 585, 1569, 547, 713, 6221, 543, 1454, 811, 454, 5472, 19098, 4653, 1543, 568, 2895, 1882, 1310, 5722, 2395, 563, 26322, 2818, 4309, 912, 268, 2353, 2487, 543, 2895, 1882, 4930, 454, 268, 10985, 3091, 543, 10311, 454, 268, 589, 2407, 10624, 540, 679, 31974, 12072, 3681, 454, 268, 5680, 29468, 267, 3043, 4574, 267, 552, 9248, 454, 2704, 2819, 723, 606, 2272, 286, 8298, 769, 454, 10673, 1405, 723, 606, 2272, 286, 19193, 585, 5131, 1133, 15905, 7457, 0, 14503, 1662, 11568, 538, 17976, 476, 280, 1546, 1188, 630, 2412, 2187, 1432, 616, 519, 476, 273, 1826, 540, 9606, 10095, 13592, 454, 560, 24780, 543, 1297, 454, 2419, 5190, 538, 9606, 10095, 1297, 616, 22275, 539, 547, 607, 454, 1805, 24780, 13592, 4125, 454, 7224, 767, 5311, 30337, 906, 1369, 476, 272, 610, 811, 5027, 11140, 454, 3963, 616, 9606, 10095, 13592, 1271, 1535, 276, 454, 268, 1174, 875, 6090, 960, 1927, 454, 15564, 2074, 883, 32450, 543, 15694, 6189, 454, 2389, 8962, 585, 22308, 12879, 454, 2275, 1021, 540, 4719, 3676, 454, 15564, 2074, 883, 12105, 3157, 454, 15650, 540, 9606, 10095, 13592, 1535, 274, 454, 2000, 1601, 540, 4719, 1570, 454, 3766, 664, 540, 4719, 1570, 454, 3146, 331, 6327, 540, 4719, 1570, 454, 1432, 3123, 2530, 540, 4719, 1570, 630, 343, 273, 994, 6343, 3123, 513, 2744, 538, 4719, 1570, 630, 343, 273, 994, 1432, 3123, 882, 6327, 540, 4719, 1570, 630, 343, 273, 994, 1692, 798, 596, 1106, 513, 32280, 888, 288, 15694, 10126, 666, 581, 4503, 454, 1692, 798, 596, 1106, 513, 5918, 6473, 888, 320, 3296, 666, 581, 23060, 454, 1432, 4990, 540, 9397, 616, 24037, 8259, 30465, 267, 543, 875, 666, 9606, 10095, 30337, 618, 1267, 689, 713, 454, 291, 19302, 3613, 8681, 539, 9397, 282, 1403, 7475, 540, 476, 273, 1114, 9397, 616, 8678, 513, 9606, 10095, 30337, 618, 666, 1267, 454, 1432, 1281, 513, 5027, 11140, 723, 547, 723, 547, 7639, 803, 328, 739, 338, 454, 1432, 568, 1875, 4150, 997, 4630, 27881, 21921, 1588, 454, 15899, 532, 936, 1063, 5918, 6088, 5027, 9696, 630, 10472, 3123, 30337, 906, 994, 1692, 666, 15385, 936, 2049, 1063, 1875, 3620, 558, 27881, 15954, 454, 3725, 701, 520, 9696, 593, 1114, 15954, 630, 528, 1369, 476, 272, 15694, 994, 2252, 15385, 936, 4386, 1063, 10956, 5027, 9696, 602, 616, 711, 952, 538, 519, 1482, 2990, 593, 4630, 860, 338, 1287, 1018, 666, 581, 3812, 888, 3963, 568, 513, 25216, 10126, 1419, 4503, 888, 10303, 621, 814, 1100, 1298, 668, 699, 454, 1432, 781, 513, 12363, 32280, 454, 306, 1122, 618, 25216, 693, 519, 1439, 540, 513, 15694, 454, 1432, 781, 513, 26300, 527, 658, 32280, 454, 572, 8540, 25216, 1369, 513, 15694, 454, 320, 1507, 32280, 1369, 513, 5444, 602, 30737, 643, 919, 519, 5444, 454, 1103, 341, 9876, 1896, 6090, 543, 741, 4539, 616, 811, 4049, 454, 2691, 568, 513, 8520, 4646, 676, 513, 15694, 454, 1103, 32450, 519, 15694, 540, 513, 32280, 10636, 27340, 1774, 454, 1432, 616, 519, 4539, 950, 513, 1617, 3394, 545, 32280, 568, 1500, 4630, 25822, 748, 676, 538, 3691, 5338, 454, 1432, 4990, 540, 13592, 2760, 556, 3200, 1394, 547, 519, 3552, 6943, 454, 303, 12065, 617, 7631, 766, 630, 1729, 798, 609, 25533, 687, 994, 5719, 2280, 687, 1450, 519, 4082, 540, 4307, 8040, 5645, 607, 12424, 633, 27586, 454, 291, 340, 4124, 602, 616, 11105, 454, 291, 340, 4124, 602, 616, 4092, 11992, 630, 2254, 11105, 264, 538, 519, 11646, 454, 2252, 513, 5918, 6473, 814, 1624, 3293, 267, 875, 1082, 12215, 540, 602, 15694, 3148, 786, 513, 9733, 1355, 1591, 723, 454, 1432, 1281, 7020, 540, 5918, 4124, 4125, 888, 19185, 585, 5918, 4124, 540, 15694, 6512, 532, 3270, 1341, 519, 4527, 540, 17787, 693, 32450, 538, 10636, 27340, 748, 2043, 454, 27855, 519, 4446, 15817, 630, 275, 1292, 2798, 994, 5336, 16615, 538, 667, 4592, 32166, 454, 6253, 520, 723, 4389, 1795, 3949, 538, 519, 3750, 267, 1818, 519, 3750, 4130, 454, 7308, 16023, 568, 15110, 607, 606, 18106, 610, 9864, 8789, 2473, 5532, 5721, 454, 6953, 2678, 27340, 748, 8951, 723, 4130, 4064, 267, 1247, 1256, 4130, 568, 602, 540, 4630, 27340, 748, 8951, 543, 8280, 714, 17789, 748, 9038, 454, 263, 5408, 3239, 538, 15942, 994, 291, 340, 4124, 602, 2039, 538, 2450, 689, 476, 1015, 268, 2004, 737, 321, 335, 543, 7854, 2898, 6090, 543, 519, 4525, 1063, 873, 563, 5336, 739, 694, 613, 11365, 5918, 4124, 616, 24797, 855, 930, 616, 512, 30802, 563, 5025, 321, 719, 476, 275, 260, 540, 519, 11646, 5161, 540, 10126, 531, 5918, 4124, 454, 763, 1298, 668, 699, 786, 581, 3544, 519, 538, 11437, 454, 763, 1298, 668, 699, 568, 3330, 519, 538, 11437, 454, 6701, 1004, 609, 538, 951, 687, 2356, 3339, 610, 711, 888, 8133, 1317, 538, 951, 687, 21645, 1689, 519, 2949, 2179, 540, 4719, 1570, 454, 303, 4673, 610, 31971, 1298, 878, 538, 951, 687, 2014, 519, 5250, 540, 513, 546, 545, 22834, 8115, 454, 1432, 781, 606, 538, 11437, 8520, 454, 7628, 32450, 476, 272, 15694, 23538, 693, 519, 7475, 540, 519, 538, 951, 687, 865, 602, 621, 666, 6292, 18854, 515, 519, 2150, 342, 13554, 4630, 860, 454, 1103, 16948, 610, 31971, 1298, 878, 538, 951, 687, 1281, 606, 1035, 22834, 23650, 1106, 454, 1706, 8809, 878, 910, 713, 23650, 568, 4503, 1317, 621, 814, 1100, 1298, 668, 699, 454, 1103, 16948, 610, 829, 545, 22834, 538, 951, 687, 666, 15385, 936, 1267, 538, 5918, 4124, 543, 25533, 687, 1267, 454, 23737, 1018, 621, 568, 5921, 676, 281, 769, 951, 687, 957, 607, 31832, 20108, 647, 12304, 832, 454, 5445, 21645, 3247, 15385, 936, 8345, 267, 596, 1175, 21645, 1294, 1022, 31832, 20108, 1587, 607, 789, 616, 711, 14323, 454, 23737, 1018, 621, 568, 5921, 676, 281, 769, 951, 687, 666, 1291, 547, 519, 5137, 540, 1412, 21841, 2637, 525, 7055, 294, 2940, 616, 5532, 267, 666, 711, 581, 7745, 909, 607, 1100, 15385, 936, 0, 13356, 28672, 707, 7969, 4928, 609, 713, 4105, 6863, 2262, 3774, 269, 32087, 616, 1585, 21770, 267, 8580, 17313, 267, 21371, 543, 740, 18690, 269, 6423, 707, 1053, 262, 6898, 1831, 811, 1950, 609, 713, 13561, 4704, 2139, 547, 873, 563, 1607, 6221, 568, 513, 6976, 3059, 4647, 689, 1250, 570, 335, 307, 4558, 630, 10674, 2517, 4178, 269, 974, 18291, 335, 599, 974, 18291, 2593, 270, 1805, 648, 32434, 1195, 576, 13860, 5937, 531, 612, 663, 549, 1040, 2026, 971, 267, 621, 568, 585, 946, 538, 835, 4928, 1152, 20136, 6221, 568, 849, 3808, 676, 10677, 4031, 543, 23799, 1026, 5024, 267, 11049, 267, 9513, 267, 610, 20171, 713, 6221, 630, 528, 1022, 851, 23476, 264, 593, 519, 5769, 616, 782, 14553, 19275, 1510, 1101, 11543, 10479, 689, 519, 2278, 269, 15329, 725, 616, 1641, 547, 519, 20507, 540, 519, 7913, 7085, 3317, 1756, 14645, 2920, 269, 8923, 3346, 803, 952, 596, 6999, 547, 581, 11292, 2027, 27704, 256, 0, 20464, 476, 1789, 267, 476, 1001, 279, 454, 10481, 3073, 807, 4210, 21148, 568, 513, 5458, 12167, 585, 2870, 513, 2318, 267, 2635, 267, 8716, 267, 543, 11215, 1604, 585, 782, 19002, 543, 1875, 268, 987, 8541, 2818, 269, 7201, 7330, 4210, 21148, 267, 649, 798, 713, 998, 513, 1982, 1572, 15822, 22505, 269, 15822, 22505, 2488, 2069, 267, 2497, 267, 543, 2645, 547, 948, 3025, 960, 1927, 543, 2226, 519, 1655, 1604, 2009, 585, 3025, 3238, 269, 15822, 22505, 666, 581, 13736, 4948, 676, 2870, 606, 1604, 1141, 3025, 6487, 543, 17358, 519, 3652, 267, 543, 1141, 1169, 1367, 7959, 6899, 6158, 827, 873, 269, 898, 568, 849, 1271, 547, 948, 2061, 13943, 3871, 16109, 267, 543, 849, 1373, 18532, 609, 3527, 1063, 782, 2818, 563, 9336, 8630, 1058, 6966, 513, 15822, 22505, 11833, 18509, 13541, 945, 786, 960, 609, 519, 700, 17092, 15822, 22505, 18509, 13541, 267, 9919, 857, 2441, 344, 267, 547 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 264, 543, 7200, 8779, 10314, 630, 13092, 2012, 8402, 14731, 595, 2077, 21034, 282, 536, 269, 4728, 476, 277, 267, 476, 5002, 277, 267, 4793, 3205, 267, 1715, 14948, 267, 772, 2529, 23102, 323, 269, 4728, 476, 274, 267, 476, 4198, 280, 267, 5101, 11968, 13353, 267, 4993, 264, 7463, 538, 4028, 1922, 790, 1273, 614, 543, 22545, 12671, 1793, 777, 22496, 267, 543, 789, 616, 9833, 607, 519, 18840, 20200, 531, 2319, 540, 3276, 956, 4302, 18792, 563, 288, 6277, 2714, 729, 4535, 883, 513, 2235, 639, 1920, 267, 543, 646, 7307, 3276, 956, 4302, 8075, 1354, 646, 1558, 8779, 10314, 269, 1261, 6170, 1454, 942, 1394, 560, 720, 4974, 519, 1283, 1977, 14676, 540, 519, 1554, 267, 1519, 654, 5861, 269, 29425, 267, 26450, 700, 1695, 337, 267, 543, 519, 18792, 2319, 540, 7585, 2421, 18412, 543, 6754, 15966, 1638, 965, 269, 769, 476, 4572, 274, 2806, 321, 2714, 3812, 1010, 1378, 1397, 267, 16340, 3118, 4469, 10449, 267, 538, 799, 646, 5129, 513, 3056, 1909, 538, 1931, 547, 4688, 519, 1942, 540, 606, 17076, 779, 14057, 269, 1261, 6170, 519, 1985, 8717, 3501, 532, 1010, 15421, 607, 513, 2786, 812, 543, 2324, 609, 513, 1297, 540, 4891, 602, 3769, 1010, 7385, 267, 5975, 1399, 563, 2026, 513, 1762, 812, 267, 8779, 10314, 7494, 25343, 24898, 24755, 680, 514, 269, 769, 476, 4572, 278, 646, 6410, 547, 21035, 267, 1141, 646, 5249, 607, 513, 25224, 2006, 282, 1310, 606, 5945, 646, 16718, 25224, 960, 547, 1685, 538, 1715, 3840, 3276, 956, 4302, 269, 4014, 646, 1185, 2760, 5249, 593, 560, 720, 1354, 267, 646, 3533, 2968, 835, 540, 519, 1283, 3276, 956, 4302, 14676, 543, 4121, 519, 7366, 540, 3044, 18792, 13467, 540, 519, 5547, 269, 8409, 6006, 13467, 4847, 14676, 547, 960, 30430, 609, 513, 3099, 540, 4891, 630, 21865, 593, 513, 4090, 779, 5469, 5148, 538, 971, 13016, 6292, 902, 267, 2806, 321, 2714, 543, 8779, 10314, 5340, 1927, 26742, 611, 1227, 2429, 519, 2038, 476, 4350, 271, 338, 267, 1354, 741, 4013, 2319, 532, 538, 2038, 476, 4350, 277, 563, 7628, 519, 1985, 1906, 1296, 267, 519, 2319, 5249, 519, 3276, 956, 4302, 5547, 543, 3501, 539, 13467, 1142, 1185, 2944, 9118, 2053, 609, 824, 4891, 267, 1519, 519, 13836, 17250, 968, 8005, 779, 593, 3689, 286, 2223, 585, 799, 789, 2968, 4583, 269, 4014, 789, 1131, 12212, 4268, 741, 3044, 4542, 538, 513, 1906, 540, 741, 8874, 267, 2806, 321, 2714, 543, 8779, 10314, 779, 957, 7283, 6140, 5812, 2429, 741, 1079, 5756, 607, 513, 2319, 269, 2806, 321, 2714, 729, 1945, 540, 513, 4439, 569, 543, 513, 1085, 31906, 267, 543, 8779, 10314, 5129, 519, 688, 20439, 1126, 3697, 1273, 1910, 945, 729, 1634, 585, 6952, 874, 29320, 971, 607, 968, 296, 6557, 513, 22678, 8584, 8584, 8584, 1673, 7911, 17373, 4256, 3197, 941, 6006, 2010, 540, 519, 3276, 956, 4302, 2245, 282, 607, 971, 267, 741, 18792, 16941, 811, 593, 519, 4028, 1922, 790, 6765, 540, 575, 4711, 982, 593, 1915, 610, 32638, 1208, 712, 269, 1358, 723, 1044, 20295, 607, 835, 540, 519, 1906, 18792, 6887, 547, 723, 12873, 593, 4670, 1082, 540, 519, 5929, 13467, 540, 519, 1977, 642, 7596, 5271, 4068, 543, 3276, 956, 4302, 5389, 563, 763, 2319, 9715, 513, 3084, 1739, 950, 22256, 25562, 8055, 1433, 539, 873, 593, 1200, 5925, 1397, 538, 476, 4350, 279, 282, 519, 1985, 1032, 789, 7902, 538, 519, 16340, 3118, 2847, 826, 6790, 1115, 540, 8303, 609, 835, 540, 741, 7329, 11169, 267, 13371, 7585, 2421, 18412, 269, 769, 476, 3707, 271, 2806, 321, 2714, 543, 8779, 10314, 7902, 538, 5885, 5107, 538, 741, 1101, 7260, 585, 17629, 2289, 3930, 267, 2290, 13957, 538, 519, 570, 1886, 923, 267, 543, 519, 1739, 1032, 789, 5182, 1042, 538, 519, 1101, 4670, 3358, 585, 741, 15421, 267, 519, 7952, 18792, 21207, 17658, 919, 269, 634, 4670, 729, 513, 5458, 1967, 543, 3366, 547, 513, 3126, 540, 588, 18732, 6472, 585, 519, 2319, 602, 16768, 2394, 476, 4198, 277, 269, 4256, 811, 8037, 635, 12203, 1331, 15579, 2334, 26415, 630, 3707, 272, 1070, 769, 519, 13108, 630, 3707, 272, 1070, 623, 30972, 3733, 7203, 784, 630, 3707, 273, 1070, 23452, 538, 513, 670, 732, 332, 630, 3707, 275, 1070, 543, 634, 715, 2795, 1399, 715, 6839, 625, 630, 3707, 276, 1040, 2806, 321, 2714, 543, 8779, 10314, 20821, 29975, 630, 3707, 279, 28931, 514, 799, 789, 10599, 1194, 519, 4583, 17629, 3197, 540, 29975, 779, 20599, 267, 19537, 1529, 320, 267, 543, 519, 16423, 2006, 28934, 3622, 9833, 607, 741, 1655, 4670, 563, 2691, 2806, 321, 2714, 543, 8779, 10314, 779, 4216, 11325, 823, 4567, 3459, 547, 17277, 1282, 519, 2038, 476, 4198, 271, 338, 267, 789, 1336, 17105, 8560, 593, 8613, 267, 1312, 607, 18596, 14747, 540, 634, 2051, 22017, 1290, 9037, 28914, 630, 4198, 271, 1700, 4649, 264, 543, 607, 6801, 540, 634, 2806, 321, 2714, 543, 8779, 10314, 8058, 630, 4198, 273, 1700, 7918, 1040, 2991, 741, 3803, 4670, 267, 19933, 609, 2725, 267, 8361, 630, 4198, 277, 1070, 2806, 321, 2714, 543, 8779, 10314, 4682, 741, 5094, 2081, 269, 8779, 10314, 1065, 337, 2213, 930, 540, 519, 2025, 13467, 585, 634, 19378, 19395, 8058, 267, 543, 646, 7902, 538, 519, 18792, 4670, 634, 476, 1789, 14272, 5696, 728, 540, 15443, 344, 9412, 630, 4198, 280, 1040, 2806, 321, 2714, 7902, 538, 513, 10565, 1909, 585, 8613, 779, 23817, 26308, 538, 476, 3422, 272, 267, 2319, 539, 609, 13371, 15443, 344, 15443, 18480, 585, 930, 2123, 23079, 538, 519, 2038, 476, 3422, 271, 338, 267, 543, 3177, 1010, 1378, 5639, 585, 606, 2806, 321, 2714, 543, 8779, 10314, 20419, 3126, 538, 476, 3422, 278, 563, 9596, 2859, 538, 891, 1644, 27429, 4930, 912, 1492, 12448, 338, 590, 8651, 2507, 320, 1297, 540, 8874, 267, 5885, 2806, 321, 2714, 543, 8779, 10314, 538, 454, 289, 3089, 17658, 919, 267, 769, 519, 13108, 267, 543, 15579, 2334, 26415, 263, 718, 476, 3707, 272, 1070, 543, 17729, 538, 741, 1378, 3126, 540, 7574, 635, 12203, 267, 799, 3769, 17721, 21207, 541, 5622, 263, 3707, 273, 1070, 1548, 779, 13648, 514, 685, 286, 263, 3707, 273, 1070, 543, 4210, 532, 5503, 3627, 5500, 263, 3707, 274, 1040, 7498, 310, 5861, 269, 29425, 267, 17076, 4171, 16950, 1652, 12557, 543, 14973, 18085, 1678, 2730, 1145, 1500, 1864, 835, 540, 3013, 779, 6574, 635, 539, 2103, 269, 3571, 1483, 3734, 543, 5496, 14789, 941, 1419, 967, 626, 3907, 27720, 267, 543, 646, 568, 15422, 585, 1010, 10058, 17725, 5639, 267, 2507 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2108, 10673, 1406, 3548, 602, 267, 596, 3580, 1205, 3170, 28461, 3412, 332, 677, 531, 1913, 281, 968, 10673, 1406, 3548, 602, 267, 596, 3580, 1205, 3170, 1848, 23207, 569, 267, 3237, 616, 19230, 827, 519, 1764, 789, 723, 593, 741, 1453, 779, 1560, 3239, 269, 15776, 12340, 3244, 267, 4791, 8689, 540, 519, 25832, 18669, 4189, 4713, 1982, 267, 5063, 5143, 7330, 4653, 912, 313, 3266, 2911, 827, 2732, 532, 267, 4642, 2911, 827, 2597, 269, 20023, 8292, 711, 1152, 827, 707, 8250, 779, 2597, 267, 15069, 267, 855, 4642, 2911, 827, 707, 2597, 543, 1256, 824, 1004, 779, 2597, 563, 21953, 513, 1007, 1353, 3370, 538, 4317, 3163, 543, 6925, 267, 6054, 875, 519, 1655, 15752, 827, 1072, 543, 15970, 666, 1205, 12261, 883, 513, 5837, 2065, 1920, 5188, 602, 3085, 1406, 948, 269, 15766, 2209, 5342, 538, 3829, 11042, 609, 476, 5611, 3885, 630, 520, 2547, 835, 2385, 543, 1126, 264, 543, 5342, 513, 21044, 3060, 2079, 593, 519, 2164, 269, 1358, 1336, 1614, 4798, 912, 268, 13379, 815, 2657, 269, 5637, 3237, 543, 1453, 1174, 2597, 607, 606, 13525, 540, 1072, 269, 1809, 3237, 1589, 827, 519, 2168, 10898, 1247, 1453, 1589, 827, 519, 1514, 1764, 563, 268, 15310, 1145, 815, 26874, 32126, 269, 14268, 1745, 8078, 539, 547, 4001, 741, 1453, 827, 519, 968, 323, 13377, 892, 540, 3170, 1145, 269, 5753, 5873, 2942, 6835, 543, 1018, 789, 13498, 607, 968, 2675, 732, 12485, 3034, 268, 774, 514, 1145, 815, 589, 5131, 10426, 269, 5637, 3237, 543, 1453, 2285, 5639, 547, 519, 2070, 602, 2732, 543, 3635, 5079, 616, 1447, 1271, 952, 596, 2461, 6094, 269, 589, 2370, 3635, 666, 6633, 1055, 519, 2360, 540, 8192, 967, 529, 17917, 267, 610, 865, 519, 3206, 4422, 563, 4322, 12007, 7422, 267, 1759, 593, 513, 5676, 1441, 2079, 267, 723, 513, 8258, 540, 5168, 538, 10503, 875, 1857, 1072, 4145, 827, 8377, 14377, 883, 1920, 6384, 563, 1432, 789, 666, 1406, 798, 568, 1683, 513, 4052, 3391, 585, 3237, 602, 4422, 3564, 519, 1309, 1903, 689, 3244, 338, 827, 5396, 547, 2057, 269, 968, 10673, 1406, 892, 568, 24631, 5796, 676, 3294, 2443, 2436, 519, 1641, 568, 15970, 610, 2635, 6208, 269, 4658, 991, 606, 15792, 3761, 540, 968, 4777, 779, 3034, 12812, 1934, 585, 513, 1434, 3761, 540, 1919, 547, 798, 538, 6158, 609, 707, 1453, 827, 2597, 543, 1072, 689, 519, 1284, 662, 769, 6651, 3812, 676, 519, 5254, 8008, 25667, 19137, 543, 519, 19137, 585, 513, 2657, 1512, 5108, 563, 12812, 1934, 547, 1224, 519, 1353, 538, 4317, 3163, 1299, 6925, 563, 300, 1278, 5937, 5922, 267, 8523, 9736, 24981, 8493, 1676, 1315, 31300, 337, 454, 29771, 676, 4757, 547, 1246, 519, 7213, 6819, 2963, 543, 7422, 602, 3337, 938, 2070, 540, 1072, 267, 8377, 267, 543, 3609, 269, 0, 1103, 513, 2022, 689, 4873, 476, 1001, 272, 11331, 834, 31640, 267, 12182, 4911, 518, 10590, 594, 4766, 513, 9656, 4928, 5583, 3992, 585, 10845, 2359, 543, 4704, 513, 1433, 676, 519, 9735, 2278, 667, 1014, 324, 590, 3317, 269, 3776, 8664, 3096, 1200, 10515, 532, 609, 18366, 1433, 607, 513, 4199, 585, 938, 4655, 6571, 1770, 538, 476, 275, 628, 3446, 563, 1103, 713, 1880, 476, 275, 628, 3446, 3992, 593, 10845, 2359, 267, 594, 912, 268, 17546, 1053, 602, 10845, 568, 513, 3339, 4743, 602, 649, 20231, 723, 269, 1809, 267, 649, 991, 547, 581, 6297, 827, 875, 649, 11555, 16898, 547, 4743, 14220, 563, 268, 5623, 519, 476, 274, 4911, 518, 16390, 630, 2791, 949, 711, 10413, 3054, 269, 1411, 949, 711, 10413, 1866, 269, 1411, 949, 711, 10413, 3959, 12175, 594, 2161, 2689, 1934, 1317, 594, 4312, 13175, 547, 4001, 891, 10845, 3652, 538, 824, 3446, 2157, 269, 1358, 616, 547, 519, 1448, 267, 2653, 547, 1451, 543, 2653, 547, 3314, 2336, 268, 17546, 827, 4911, 518, 18539, 3149, 630, 6748, 1250, 13561, 546, 22929, 27646, 543, 1818, 513, 22275, 324, 781, 6186, 20517, 585, 513, 28067, 538, 14912, 910, 519, 3214, 1205, 519, 7887, 14736, 856, 540, 713, 1040, 1284, 1865, 11913, 535, 537, 3149, 543, 2168, 535, 537, 3149, 269, 1879, 513, 28067, 568, 8149, 267, 835, 610, 811, 540, 519, 10845, 3652, 786, 581, 7745, 269, 1284, 1865, 799, 3652, 616, 7745, 585, 1585, 1806, 540, 535, 537, 3149, 563, 268, 9181, 519, 2360, 540, 10845, 593, 938, 1560, 4534, 3905, 267, 2699, 267, 17570, 344, 267, 593, 3595, 267, 695, 21294, 267, 9395, 267, 15677, 267, 2295, 11013, 532, 267, 804, 523, 3481, 10265, 610, 535, 1235, 267, 3092, 563, 268, 17546, 519, 1053, 602, 972, 616, 513, 1297, 540, 2081, 547, 9108, 834, 290, 944, 14114, 742, 257, 938, 10845, 865, 602, 649, 1810, 1405, 3479, 513, 11913, 610, 2168, 28067, 543, 865, 602, 649, 2057, 8840, 1022, 540, 519, 10845, 3652, 269, 594, 1287, 3142, 856, 519, 8708, 540, 834, 290, 944, 13560, 10979, 10699, 525, 257, 799, 594, 1185, 6456, 538, 1250, 2370, 8708, 593, 14743, 1282, 519, 1964, 540, 519, 3992, 269, 901, 8708, 540, 4672, 18695, 729, 538, 519, 29606, 2394, 1175, 1354, 519, 3992, 3459, 910, 8754, 267, 519, 4672, 18695, 616, 1869, 13792, 543, 4411, 256, 594, 2491, 547, 519, 1053, 602, 2854, 593, 1082, 540, 519, 4672, 18695, 568, 513, 1259, 547, 3579, 1524, 950, 14220, 269, 594, 2491, 602, 930, 4672, 18695, 1810, 1405, 723, 4376, 2854, 593, 873, 563, 268, 3973, 594, 2482, 856, 1018, 649, 786, 798, 1985, 543, 519, 3652, 540, 519, 3014, 269, 3962, 2875, 4991, 606, 4672, 13306, 547, 3180, 543, 538, 513, 1906, 3764, 267, 1142, 2875, 786, 1224, 1018, 1010, 17017, 4672, 13306, 3081, 269, 1403, 513, 2875, 4991, 606, 4672, 13306, 1510, 1913, 593, 621, 267, 646, 24172, 568, 1589, 540, 513, 3579, 1524, 4640, 547, 2671, 609, 519, 1362, 269, 1879, 789, 1205, 741, 4672, 18695, 267, 789, 616, 547, 5402, 4983, 630, 296, 6542, 264, 741, 4672, 13306, 585, 2854, 1913, 602, 2285, 513, 4640, 585, 9023, 1524, 269, 1403, 741, 4672, 13306, 814, 1913, 593, 621, 267, 789, 616, 711, 547, 5905, 519, 1913, 630, 24392, 2854, 609, 513, 26588, 9225, 15262, 910, 1317, 519, 4672, 18695, 17570, 267, 519, 1913, 786, 5957, 1055, 630, 604, 20109, 264, 1310, 513, 1906, 5049, 1040, 594, 2995, 873, 602, 4672, 18695, 616, 711, 547, 581, 16207, 267, 21775, 267, 2695, 1639, 267, 19184, 539, 883, 519, 2011, 267, 2322, 538, 28182, 610, 562, 4680, 267, 3092, 269, 1411, 949, 581, 28617, 267, 855, 596, 1131, 711, 3494, 1018, 666, 4755, 609, 891, 13792, 18695, 256, 594, 723, 3144, 4672, 18695, 2476, 689, 1053, 585, 891, 3527, 269, 2991, 1169, 2875, 814, 513, 13306, 630, 663, 1053, 945, 723, 10145, 3283, 723, 1185, 513, 1906, 8090, 547, 1589, 540, 606, 2189, 4640, 1070, 594, 979, 1472, 519, 1895, 543, 723, 873, 1224, 519, 4640, 16965, 269, 1280, 930, 540, 519, 2994, 649, 786, 957, 873, 856, 865, 789, 917, 1175, 875, 547, 946, 873, 563, 290, 944, 13560, 10979, 10699, 525, 454, 1692, 547, 1118, 519, 15346, 13560, 10979, 10699, 525, 2483, 303, 21332, 23431, 5068, 4672, 18695, 693, 4025, 899, 519, 667, 20683, 15188, 267, 27010, 267, 8285, 10326, 19255, 267, 16170, 24872, 543, 15332, 267, 8835, 2593, 267, 3092, 563, 268, 634, 4672, 18695, 3182, 3293, 1657, 941, 12349, 1296, 3516, 543, 616, 1500, 609, 23198, 5068, 269, 1452, 616, 519, 2186, 594, 1131, 3810, 4363, 269, 3767, 568, 519, 942, 547, 1413, 585, 873, 538, 4832, 24999, 6810, 2336, 268, 634, 4672, 18695, 3182, 3293, 2630, 941, 12349, 585, 1269, 272, 693, 634, 8285, 10326, 19255, 543, 616, 1500, 609, 1454, 25182, 5068, 602, 568, 4443, 547, 2695, 880, 269, 594, 1131, 711, 4363, 891, 563, 8794, 513, 5386, 26588, 9225, 8628, 3109, 15262, 267, 2328, 513, 2922, 15346, 13560, 4640, 593, 1142, 4672, 13306, 269, 1411, 786, 723, 547, 10250, 936, 1142, 835, 1169, 4832, 547, 1205, 4712, 585, 519, 1985, 1032, 781, 3992, 269, 3371, 616, 513, 1906, 1806, 910, 519, 2994, 616, 11995, 256, 594, 2141, 2972, 6217, 519, 2875, 2093, 2336, 21607, 519, 4672, 18695, 538, 513, 8708, 543, 1747, 538, 513, 1153, 29606, 513, 1906, 2395, 1991, 547, 707, 1101, 3992, 269, 2991, 1142, 3992, 267, 1747, 1394, 883, 519, 29606, 2394, 707, 10845, 1770, 568, 8737, 563, 5970, 1187, 15346, 532, 14114, 742, 8627, 0, 7628, 3735, 5614, 267, 713, 568, 835, 540, 519, 4928, 4245, 594, 798, 538, 782, 540, 1250, 476, 275, 628, 3446, 5049, 269, 3367, 827, 519, 3992, 2630, 2483, 268, 2051, 1819, 5961, 540, 4583, 20419, 3197, 269, 7454, 547, 1820, 593, 3556, 18450, 610, 4410, 593, 3556, 18450, 543, 22495, 622, 454, 268, 14295, 3019, 10886, 1249, 1793, 2354, 269, 7454, 952, 9102, 593, 610, 15841, 593, 3556, 18450, 269, 3733, 1249, 9212, 616, 15841, 593, 513, 4062, 540, 3556, 18450, 602, 834, 9110, 1091, 257, 8720, 519, 5013, 563, 268, 3883, 281, 4762, 32268, 540, 513, 4813, 518, 10089, 569, 676, 2558, 644, 344, 32400, 454, 268, 594, 6338, 519, 2165, 834, 516, 1584, 566, 257, 543, 1151, 7228, 3403, 593, 10747, 519, 2165, 269, 594, 1616, 547, 1118, 2386, 602, 649, 1445, 593, 281, 519, 1259, 1866, 2070, 270, 5408, 596, 1759, 593, 519, 1259, 596, 957, 269, 1284, 1865, 519, 3604, 1063, 513, 1434, 10639, 543, 513, 3983, 10639, 563, 268, 594, 723, 2944, 713, 1985, 2534, 835, 540, 1079, 2081, 563, 268, 7831, 1032, 267, 594, 19882, 1927, 1053, 883, 1507, 2516, 269, 594, 5795, 873, 513, 4605, 540, 513, 20419, 1915, 543, 1142, 1895, 5941, 1018, 519, 1915, 781, 10639, 568, 269, 3973, 649, 11028, 1597, 539, 607, 513, 1804, 1895, 267, 1142, 1507, 1895, 4080, 856, 267, 543, 1287, 2576, 1224, 519, 1249, 6656, 547, 1294, 875, 2673, 519, 1507, 1895, 729, 538, 10503, 519, 1915, 781, 10639, 269, 901, 4781, 3217, 513, 3787, 811, 942, 563, 268, 901, 1032, 267, 594, 4371, 835, 20419, 1915, 909, 693, 942, 543, 519, 3003, 1362, 5941, 519, 10639, 540, 519, 20419, 1915, 269, 594, 4280, 1053, 952, 519, 1915, 781, 10639, 2479, 4957, 269, 1284, 5941, 875, 602, 5949, 543, 799, 1291, 547, 513, 4901, 593, 875, 4657, 513, 10639, 3340, 513, 2603, 540, 960, 7933, 20986, 1317, 596, 723, 547, 11550, 12717, 596, 4312, 4957, 269, 0, 3725, 951, 532, 9839, 8376, 454, 29587, 2068, 1382, 538, 519, 2250, 814, 3254, 602, 1978, 8501, 11955, 267, 1634, 607, 2493, 1231, 267, 666, 3247, 519, 11144, 540, 2295, 2068, 267, 855, 789, 3112, 2061, 621, 269, 6465, 1231, 960, 676, 17527, 513, 1880, 11747, 602, 8060, 519, 2557, 540, 8501, 2504, 538, 519, 1560, 269, 901, 3123, 519, 6797, 547, 1118, 1447, 8501, 269, 898, 849, 4679, 519, 6797, 781, 2702, 547, 2445, 543, 1205, 7759, 540, 25928, 8501, 630, 21112, 8501, 1916, 21809, 1231, 4043, 547, 2014, 2698, 8501, 267, 25928, 8501, 267, 543, 27831, 1938, 547, 6175, 543, 31613, 9497, 16591, 8501, 8442, 547, 2333, 269, 6465, 1231, 723, 849, 1044, 3254, 547, 6175, 519, 8458, 540, 912, 268, 12280, 1317, 540, 2295, 2068, 454, 268, 589, 2295, 4323, 454, 268, 589, 2295, 5650, 267, 971, 607, 2587, 328, 6955, 7360, 610, 1930, 2295, 6391, 563, 25748, 267, 513, 1353, 729, 3370, 538, 799, 835, 2493, 514, 267, 595, 6135, 528, 10378, 630, 4592, 12320, 770, 11294, 7513, 1070, 3144, 538, 1164, 13066, 267, 7902, 547, 2965, 9258, 15799, 19221, 630, 4385, 607, 19473, 29912, 1040, 901, 729, 519, 1101, 942, 1022, 2126, 814, 1044, 3254, 547, 7654, 834, 516, 2091, 257, 519, 2068, 282, 2705, 267, 519, 1764, 593, 2295, 2068, 543, 8482, 6604, 729, 711, 6594, 563, 2171, 917, 602, 2500, 2295, 2068, 6604, 3322, 912, 268, 18833, 707, 2295, 2068, 1981, 2188, 454, 268, 16424, 707, 1072, 267, 1519, 3478, 2126, 585, 1164, 8501, 267, 1164, 1973, 2604, 267, 543, 3987, 454, 268, 18833, 707, 1920, 1686, 540, 2295, 2068, 454, 268, 10435, 6197, 2242, 267, 1519, 4189, 513, 2295, 268, 11794, 2732, 267, 4509, 513, 2635, 2597, 267, 16706, 267, 543, 29655, 7296, 454, 268, 25334, 4601, 2921, 6646, 563, 6701, 891, 2295, 268, 11794, 2994, 5827, 540, 10941, 532, 2295, 2068, 286, 4107, 13500, 1131, 2161, 602, 891, 2242, 666, 2061, 519, 29083, 540, 15799, 19221, 610, 3500, 922, 11144, 267, 855, 786, 711, 9258, 621, 269, 1280, 1383, 267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 14886, 1222, 12267, 538, 19565, 11470, 22383, 281, 1323, 769, 5937, 3704, 5811, 692, 1103, 713, 3184, 267, 649, 786, 5490, 883, 519, 1158, 540, 11505, 2984, 1369, 11174, 5708, 14676, 267, 1210, 519, 2442, 1762, 2937, 8642, 3209, 3126, 9839, 17380, 704, 676, 7705, 744, 572, 2006, 607, 938, 3119, 1383, 269, 3414, 7421, 519, 10848, 540, 17052, 4843, 538, 891, 1568, 267, 649, 2832, 547, 2263, 875, 971, 6386, 666, 1683, 3407, 4030, 883, 519, 2729, 540, 10708, 10188, 2152, 540, 3961, 267, 10343, 267, 543, 1582, 22325, 269, 1635, 6313, 4798, 1459, 538, 4207, 3332, 543, 8220, 873, 609, 4143, 1382, 543, 6848, 8658, 267, 713, 3184, 11394, 547, 2709, 513, 13857, 5133, 593, 519, 2956, 540, 11505, 2984, 1369, 519, 9135, 780, 272, 269, 634, 19043, 540, 14886, 538, 32183, 4886, 454, 3849, 3421, 12412, 568, 1419, 6825, 676, 1713, 2242, 538, 1514, 3347, 267, 3226, 1851, 9905, 630, 31342, 1299, 700, 1513, 517, 267, 476, 1220, 280, 1040, 4438, 713, 1974, 267, 2043, 2253, 547, 1106, 4514, 4296, 3544, 741, 3885, 267, 13461, 8185, 593, 17052, 585, 1489, 267, 15418, 267, 543, 3961, 5250, 269, 1452, 7554, 4196, 1585, 3252, 267, 1519, 5807, 3929, 4987, 267, 5009, 6043, 267, 543, 8716, 2123, 2208, 630, 29155, 526, 339, 267, 476, 2735, 277, 282, 11676, 514, 1696, 620, 1421, 476, 1001, 272, 1040, 9717, 713, 2629, 1909, 267, 621, 2501, 607, 1100, 9983, 602, 17052, 4183, 30326, 538, 11174, 5708, 14676, 563, 273, 269, 3493, 1112, 532, 667, 5744, 23800, 998, 14886, 1222, 15881, 2510, 454, 29587, 17380, 704, 608, 26118, 693, 9446, 532, 3309, 2833, 543, 9163, 267, 3850, 3988, 547, 1294, 2933, 10630, 538, 922, 3817, 269, 901, 13784, 11498, 3564, 14920, 543, 4008, 4082, 267, 849, 21214, 2790, 1072, 267, 1560, 3239, 267, 543, 2686, 4282, 269, 1280, 3236, 267, 519, 10014, 540, 3197, 899, 570, 4673, 12544, 1979, 24055, 24139, 945, 12066, 956, 609, 1200, 3909, 909, 32523, 1247, 3695, 1200, 3961, 1765, 4752, 619, 6041, 585, 1346, 945, 949, 723, 5892, 5433, 15865, 1369, 13416, 2923, 269, 5047, 267, 15386, 513, 2039, 540, 11541, 2833, 2636, 585, 6626, 5717, 1472, 6568, 267, 1620, 267, 543, 17604, 563, 274, 269, 19484, 14740, 543, 8682, 268, 2750, 16054, 998, 25398, 17716, 454, 2026, 14038, 6330, 741, 1378, 2189, 15322, 2509, 1582, 22523, 267, 9263, 2516, 1404, 513, 11358, 1909, 538, 5935, 1367, 9163, 269, 10738, 9839, 17380, 704, 267, 23233, 24898, 543, 19162, 1590, 25077, 609, 5007, 12503, 543, 4835, 9620, 607, 789, 7832, 593, 741, 11509, 2078, 269, 4256, 9687, 6125, 5713, 607, 1312, 513, 2707, 540, 4222, 543, 13438, 267, 10223, 519, 10347, 3666, 1063, 8508, 835, 781, 3020, 1582, 543, 4509, 6209, 4296, 269, 3958, 267, 519, 3126, 19156, 519, 4644, 540, 11215, 16167, 267, 11744, 875, 2318, 4205, 666, 6536, 2799, 4656, 267, 8296, 267, 543, 14223, 563, 275, 269, 32468, 11868, 2598, 26918, 543, 20504, 766, 1369, 4317, 19449, 3380, 454, 2304, 1898, 2460, 540, 1022, 11505, 1650, 3322, 27410, 12607, 17007, 827, 13951, 543, 16561, 1866, 585, 945, 789, 616, 269, 769, 9839, 17380, 704, 267, 1312, 24898, 543, 19162, 20920, 609, 13031, 741, 16012, 15832, 547, 741, 9757, 10580, 540, 2828, 269, 3414, 18995, 891, 2591, 267, 519, 3126, 11363, 519, 6988, 540, 5883, 2789, 9163, 543, 14336, 10662, 8195, 269, 5015, 267, 621, 24259, 1769, 593, 519, 1761, 4539, 540, 1875, 14092, 1061, 766, 267, 20872, 2565, 8086, 3823, 14882, 267, 7130, 267, 543, 30886, 563, 276, 269, 8490, 27919, 543, 4197, 21661, 20212, 454, 3528, 9306, 8076, 11269, 540, 3309, 2833, 267, 11174, 5708, 14676, 899, 9839, 17380, 704, 5000, 3988, 547, 4497, 609, 5380, 1114, 689, 741, 1378, 269, 3194, 5267, 602, 4598, 547, 9867, 16752, 666, 3895, 26003, 545, 1646, 543, 2569, 11475, 630, 6781, 3716, 1696, 620, 1421, 476, 1001, 273, 1040, 9182, 267, 2502, 609, 11505, 2984, 6087, 1053, 547, 11349, 1930, 16490, 1145, 267, 5660, 4763, 267, 543, 1628, 6793, 14375, 4296, 563, 277, 269, 10289, 3955, 21827, 9737, 9608, 12618, 543, 5081, 13926, 7827, 454, 7661, 267, 621, 568, 4105, 547, 2015, 875, 11505, 6386, 3565, 547, 3677, 7391, 4478, 6848, 3356, 269, 3718, 971, 607, 9839, 17380, 704, 4161, 8789, 8155, 267, 11319, 6302, 543, 9750, 8847, 540, 1018, 13054, 11807, 9163, 543, 5615, 269, 1635, 6220, 891, 5931, 883, 4081, 11407, 267, 7855, 666, 7520, 5188, 1472, 10296, 1514, 2152, 543, 8300, 2104, 5481, 547, 12167, 585, 1689, 780, 1103, 3932, 267, 11505, 2984, 19582, 513, 3844, 1747, 1369, 11174, 5708, 14676, 267, 5356, 3638, 3255, 585, 2079, 543, 4901, 269, 3414, 6514, 540, 3126, 899, 9839, 17380, 704, 267, 1053, 666, 15052, 741, 1620, 540, 1883, 2035, 1644, 547, 15730, 1646, 267, 3961, 5250, 267, 543, 1514, 5126, 269, 11086, 267, 2502, 609, 891, 6386, 7512, 2565, 3206, 267, 11942, 6568, 267, 543, 16877, 1762, 4079, 547, 1831, 8069, 540, 2318, 7004, 538, 741, 2950, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 20486, 1923, 8479, 16989, 11470, 1315, 22383, 1299, 18753, 26358, 1315, 11806, 454, 763, 3791, 4320, 538, 519, 1093, 17257, 543, 6653, 9839, 17380, 704, 3126, 267, 10023, 4190, 1079, 12258, 528, 11247, 17652, 547, 581, 18297, 593, 28923, 24898, 4769, 1405, 1589, 19162, 1223, 2479, 899, 1864, 1394, 267, 855, 1631, 789, 2811, 13166, 7911, 325, 12188, 269, 19162, 814, 1256, 1336, 519, 10100, 547, 2097, 856, 547, 1010, 3158, 269, 3719, 4947, 856, 3884, 1405, 1945, 602, 4523, 1175, 2899, 267, 543, 19162, 543, 24898, 2119, 547, 4137, 856, 950, 547, 2995, 741, 2828, 602, 789, 2811, 6580, 269, 3502, 1373, 856, 547, 741, 15032, 4991, 1256, 9875, 1282, 513, 1153, 7552, 547, 8303, 269, 1306, 19162, 543, 24898, 781, 4606, 1205, 811, 3978, 267, 789, 3513, 991, 1142, 824, 811, 982, 2479, 563, 26322, 17352, 8450, 782, 454, 257, 7069, 5172, 865, 2484, 27029, 19285, 3810, 4363, 4840, 24679, 568, 865, 979, 5622, 334, 797, 570, 4673, 543, 546, 3599, 616, 811, 3238, 543, 594, 2648, 269, 2334, 834, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 293, 12188, 1222, 12267, 257, 607, 851, 540, 834, 16300, 16337, 1315, 22383, 1299, 18753, 26358, 1315, 4937, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 20821, 3220, 269, 30730, 23006, 256, 1261, 781, 606, 4274, 538, 2780, 2257, 945, 814, 6170, 1082, 1296, 4974, 543, 2324, 538, 713, 2361, 269, 1411, 1522, 4898, 1018, 2576, 609, 865, 1454, 2069, 543, 1995, 1281, 782, 1554, 910, 1134, 267, 1577, 803, 2995, 596, 2439, 7804, 269, 23006, 22939, 1010, 942, 15388, 1007, 4066, 602, 666, 948, 721, 1921, 3457, 1927, 543, 2671, 1344, 811, 3362, 269, 901, 1858, 540, 1353, 568, 1572, 834, 25542, 540, 12085, 2437, 610, 834, 31166, 257, 585, 2110, 269, 5620, 596, 2479, 4862, 540, 5100, 5321, 286, 1452, 616, 8075, 1141, 1919, 899, 8279, 267, 27687, 1846, 267, 543, 1256, 14233, 666, 581, 6417, 1210, 707, 6049, 610, 16979, 269, 2334, 781, 1175, 835, 1383, 540, 875, 14164, 2029, 1568, 2439, 5331, 952, 596, 1223, 946, 707, 6049, 547, 2490, 593, 519, 2011, 14555, 1354, 596, 3893, 1753, 689, 13558, 2259, 593, 513, 3905, 4832, 1554, 269, 2107, 6148, 596, 1616, 547, 2638, 952, 596, 2451, 519, 14089, 593, 1247, 596, 941, 2476, 693, 1153, 269, 2060, 14164, 267, 891, 1919, 1131, 581, 2009, 256, 1635, 8220, 1114, 3457, 1927, 998, 519, 4950, 267, 649, 666, 1711, 513, 3060, 540, 3615, 602, 666, 5968, 609, 1142, 824, 543, 1118, 938, 2729, 4443, 780, 8170, 1576, 267, 972, 616, 6266, 540, 2591, 950, 621, 2501, 547, 2679, 891, 5686, 540, 1949, 269, 1280, 3236, 267, 875, 798, 649, 2327, 602, 1152, 17101, 1004, 666, 1852, 1978, 3457, 286, 1548, 4523, 952, 519, 4276, 1063, 1079, 19269, 4991, 29169, 286, 1656, 875, 798, 649, 2149, 1996, 21190, 3843, 547, 1569, 6213, 1239, 286, 1452, 616, 930, 540, 519, 2055, 602, 3173, 899, 3220, 269, 23006, 960, 2182, 547, 2626, 780, 2414, 2285, 596, 606, 2856, 540, 1018, 2186, 540, 4282, 2576, 2115, 547, 10994, 2042, 899, 891, 267, 1934, 781, 513, 2370, 3787, 827, 3220, 269, 23006, 781, 3872, 3460, 1384, 265, 1261, 12236, 513, 25328, 781, 4110, 538, 15379, 7177, 689, 519, 4095, 4659, 540, 5303, 538, 20855, 20580, 267, 3127, 563, 265, 3973, 267, 646, 4682, 593, 547, 1205, 513, 9457, 781, 4110, 538, 15379, 9442, 7177, 689, 519, 4095, 4659, 540, 3163, 538, 10854, 531, 648, 267, 3127, 563, 265, 7053, 267, 646, 4607, 1010, 1912, 6185, 269, 538, 8950, 3163, 689, 519, 2160, 540, 7147, 693, 28543, 538, 27672, 517, 267, 29255, 780, 6546, 781, 1318, 910, 1310, 1164, 1153, 267, 3220, 269, 23006, 4797, 1010, 2090, 585, 1776, 476, 1691, 1296, 256, 2755, 602, 949, 3100, 899, 513, 1279, 942, 267, 1832, 538, 2247, 602, 646, 1185, 547, 1451, 1082, 1950, 2035, 2059, 519, 1259, 269, 9578, 267, 4952, 782, 519, 5863, 8906, 646, 1500, 1282, 1346, 1296, 2439, 3383, 1985, 942, 596, 1294, 513, 3579, 1007, 31942, 610, 813, 267, 3314, 602, 972, 616, 13085, 8186, 899, 3220, 269, 23006, 3297, 873, 267, 1818, 2386, 3388, 8255, 12347, 543, 18172, 269, 5808, 6487, 910, 5310, 14693, 9358, 786, 1831, 513, 2780, 10196, 1932, 543, 3565, 547, 519, 4241, 1158, 540, 14164, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 19423, 823, 6049, 281, 630, 21497, 264, 476, 14225, 268, 280, 4792, 275, 454, 12709, 2985, 281, 5291, 2517, 4178, 21993, 330, 656, 14492, 454, 298, 16194, 3534, 23006, 568, 606, 20959, 8284, 267, 606, 20959, 13747, 21233, 267, 543, 4867, 513, 7548, 538, 8950, 543, 6176, 3163, 4972, 267, 13527, 2160, 269, 1261, 729, 849, 519, 8689, 540, 519, 5063, 11943, 13527, 3135, 540, 10911, 3041, 630, 290, 10938, 585, 1382, 538, 10995, 4859, 1070, 799, 568, 606, 22085, 293, 6462, 594, 308, 10135, 290, 630, 26581, 787, 268, 17206, 31913, 3194, 4741, 269, 634, 4099, 729, 513, 851, 540, 476, 274, 21935, 594, 308, 10135, 290, 267, 519, 824, 1079, 1373, 693, 1133, 643, 540, 16506, 267, 3687, 928, 24550, 543, 2160, 540, 7147, 589, 261, 300, 269, 13405, 547, 11836, 13527, 538, 476, 1001, 275, 267, 646, 729, 513, 1982, 8689, 693, 519, 2817, 3163, 7690, 543, 11438, 513, 5916, 476, 3393, 1296, 540, 1995, 538, 2872, 267, 24243, 543, 2229, 563, 4942, 6185, 269, 538, 8950, 3163, 267, 2160, 540, 7147, 693, 28543, 267, 27672, 517, 267, 29255, 630, 2735, 272, 994, 300, 2529, 269, 538, 15379, 9442, 1621, 1421, 4095, 4659, 540, 3163, 267, 10854, 531, 648, 267, 3127, 630, 3192, 278, 994, 289, 11053, 3663, 269, 538, 15379, 1621, 1421, 4095, 4659, 540, 5303, 267, 20855, 20580, 267, 3127, 630, 3192, 276, 994, 14483, 3194, 9314, 338, 281, 14164, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 5149, 476, 272 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 763, 3328, 2518, 2837, 585, 2904, 814, 1044, 5950, 267, 543, 519, 2627, 2837, 540, 519, 3618, 729, 1336, 547, 723, 1044, 476, 271, 269, 3066, 5232, 595, 630, 12671, 513, 3368, 513, 4110, 674, 264, 15911, 982, 519, 476, 1789, 24266, 3328, 269, 2904, 2306, 1614, 15654, 3275, 540, 1657, 5991, 5436, 10865, 2518, 1661, 1186, 267, 1310, 4358, 476, 1001, 273, 609, 1079, 3275, 540, 2630, 5991, 5436, 10865, 1661, 1186, 269, 910, 313, 778, 454, 16829, 693, 476, 276, 281, 6872, 6751, 267, 9947, 476, 4962, 267, 476, 1001, 273, 454, 663, 2063, 8242, 476, 1001, 273, 268, 6187, 268, 4962, 476, 1704, 281, 6872, 281, 6795, 268, 6860, 454, 15648, 476, 1708, 272, 2480, 23774, 338, 9012, 267, 5549, 269, 2353, 2924, 11603, 269, 901, 1570, 949, 711, 581, 3370, 267, 13739, 267, 17370, 9287, 267, 610, 23799, 30744, 269, 0, 16829, 5988, 476, 4905, 267, 476, 1001, 279, 476, 2641, 281, 6187, 281, 1556, 763, 1101, 9893, 2861, 2883, 1062, 814, 1044, 2813, 267, 543, 621, 568, 513, 7372, 3625, 540, 519, 9893, 563, 1103, 606, 2680, 4371, 538, 15173, 15158, 267, 519, 9893, 3060, 814, 1044, 18611, 585, 519, 1101, 942, 593, 519, 5769, 563, 763, 1158, 779, 1101, 9893, 568, 513, 5318, 3060, 540, 1239, 18013, 602, 723, 1044, 1500, 909, 540, 513, 5318, 1297, 540, 5904, 563, 2005, 814, 1044, 29805, 513, 9893, 3060, 563, 763, 2029, 2636, 4213, 547, 6494, 543, 4309, 11033, 267, 543, 2594, 519, 8852, 563, 4913, 267, 519, 2029, 666, 849, 581, 1031, 547, 1711, 1007, 5686, 540, 3059, 7221, 269, 27398, 5240, 685, 8751, 918, 5979, 5633, 5359, 689, 15173, 15158, 269, 0, 2005, 568, 1634, 602, 950, 6534, 547, 513, 18151, 11116, 267, 621, 20555, 593, 519, 1973, 540, 519, 1268, 945, 814, 1044, 3787, 1084, 269, 898, 568, 9266, 602, 513, 1360, 1271, 2243, 14340, 538, 519, 8186, 540, 4961, 267, 799, 568, 666, 513, 18151, 10141, 17537, 595, 610, 824, 17537, 8290, 950, 621, 17486, 606, 7783, 1268, 543, 1287, 17486, 1776, 1268, 888, 4517, 15324, 4915, 4966, 693, 519, 12080, 540, 2657, 6166, 602, 281, 22508, 2299, 267, 519, 18151, 1281, 711, 10141, 519, 595, 3644, 998, 922, 17486, 267, 607, 1134, 607, 7786, 267, 585, 519, 1739, 4128, 563, 268, 17018, 10181, 3996, 7630, 1004, 609, 741, 1378, 19975, 267, 711, 1973, 269, 4935, 16578, 13027, 7729, 2678, 6794, 454, 268, 898, 568, 1634, 602, 24295, 645, 543, 24295, 595, 5563, 616, 10299, 998, 4598, 547, 1973, 1152, 563, 268, 1879, 6534, 547, 18151, 5521, 17486, 267, 519, 2189, 6211, 2497, 540, 922, 13549, 5161, 540, 1079, 5094, 9055, 267, 1141, 519, 1101, 8756, 1568, 547, 7630, 519, 2960, 609, 18151, 19975, 267, 799, 3568, 1082, 6878, 602, 7520, 519, 21774, 540, 519, 2960, 267, 1247, 519, 2034, 8756, 540, 519, 18151, 13549, 568, 998, 799, 1973, 568, 647, 22486, 689, 519, 6408, 454, 268, 634, 8756, 602, 647, 4242, 519, 6408, 779, 1973, 814, 17901, 602, 1152, 1450, 519, 1973, 547, 1780, 538, 835, 4287, 689, 519, 6408, 547, 519, 18151, 779, 7181, 543, 1281, 711, 1450, 519, 6587, 267, 602, 568, 267, 1973, 689, 519, 18151, 547, 4283, 519, 6408, 563, 268, 22031, 22807, 595, 543, 645, 8290, 616, 1360, 6213, 8290, 602, 4096, 593, 8939, 5078, 14747, 547, 2661, 538, 741, 561, 1392, 267, 543, 2094, 19498, 798, 711, 723, 513, 6797, 267, 891, 8290, 3112, 7639, 585, 1279, 5712, 3330, 519, 1560, 540, 519, 18151, 563, 268, 9980, 558, 5505, 1336, 602, 19498, 10355, 11116, 1079, 1004, 538, 513, 4737, 693, 519, 1482, 942, 269, 2991, 789, 11116, 513, 1268, 543, 29186, 741, 7594, 540, 1973, 267, 789, 8038, 2476, 2394, 789, 7558, 602, 7594, 543, 1287, 2132, 547, 8023, 563, 268, 17018, 10181, 3996, 10141, 13663, 543, 5835, 8611, 267, 543, 789, 616, 10299, 998, 741, 19975, 543, 711, 998, 1973, 563, 8448, 15302, 10299, 676, 17018, 10181, 3996, 912, 2171, 1590, 581, 7255, 827, 519, 3676, 10299, 676, 19498, 12422, 267, 1169, 1032, 811, 982, 513, 2929, 1004, 5884, 543, 5215, 616, 13676, 1813, 547, 519, 11116, 540, 713, 30414, 5521, 267, 2687, 547, 513, 3896, 1867, 269, 15658, 13964, 3034, 18800, 519, 1034, 1271, 3676, 5645, 676, 19498, 543, 10299, 547, 3425, 998, 741, 11116, 912, 2005, 568, 513, 2068, 3361, 676, 519, 26736, 7116, 1756, 21313, 267, 799, 19498, 10141, 547, 2699, 1973, 2281, 676, 588, 15781, 519, 3461, 269, 634, 21313, 30001, 2699, 1973, 2281, 543, 12750, 625, 538, 519, 1480, 1560, 563, 293, 1197, 543, 669, 1571, 616, 835, 540, 519, 2589, 540, 519, 2068, 267, 538, 1840, 547, 13481, 267, 15677, 267, 24852, 543, 23472, 563, 9558, 4784, 676, 589, 26433, 513, 1122, 344, 696, 328, 19498, 267, 2589, 2039, 689, 4887, 543, 4745, 1928, 547, 15677, 543, 8611, 267, 543, 949, 581, 14603, 538, 4359, 5933, 269, 4014, 519, 6669, 6818, 267, 621, 568, 1641, 547, 930, 7687, 267, 607, 621, 949, 28596, 14603, 6547, 689, 519, 1560, 563, 15703, 2395, 1310, 519, 18151, 11116, 267, 519, 6408, 23119, 689, 8611, 267, 15677, 267, 13481, 267, 21994, 267, 19228, 267, 4049, 543, 10770, 4887, 1928, 267, 543, 952, 711, 5701, 267, 621, 949, 1291, 547, 23971, 4345, 610, 519, 9552, 540, 4105, 8219, 563, 1607, 3644, 19082, 538, 4000, 267, 5607, 543, 519, 4095, 1016, 29657, 267, 855, 519, 19498, 602, 10141, 519, 2068, 723, 6410, 538, 2487, 5756, 547, 2342, 543, 519, 17113, 563, 2005, 3123, 513, 6727, 12614, 540, 8611, 609, 4049, 4745, 1928, 602, 1419, 771, 1963, 513, 1268, 7494, 267, 538, 1840, 547, 4887, 1928, 267, 16420, 543, 15677, 563, 313, 11986, 3644, 3968, 568, 10299, 5097, 676, 519, 11116, 540, 7783, 19498, 540, 519, 12593, 589, 26433, 267, 2523, 589, 26433, 513, 1122, 344, 696, 328, 538, 9341, 543, 31210, 4525, 563, 763, 29164, 1974, 585, 32760, 3644, 2068, 630, 1492, 942, 689, 4598, 547, 2589, 264, 568, 6059, 547, 2039, 689, 476, 274, 547, 476, 1691, 2395, 269, 4107, 1004, 7783, 609, 32760, 3644, 723, 1100, 2589, 267, 543, 2589, 616, 2356, 7646, 543, 1331, 8611, 267, 16420, 267, 31792, 26628, 267, 4887, 543, 4745, 1928, 267, 4731, 320, 1047, 267, 543, 15677, 267, 543, 2356, 2063, 585, 1079, 547, 5722, 2395, 563, 763, 589, 26433, 18151, 2356, 17486, 3425, 538, 3376, 21765, 543, 19589, 538, 519, 2038, 6640, 543, 3735, 12784, 270, 22022, 10543, 3108, 269, 898, 568, 519, 1482, 18151, 602, 18993, 1080, 28939, 267, 669, 1731, 2426, 684, 5984, 543, 5835, 8611, 563, 3383, 952, 596, 1745, 1022, 540, 891, 2589, 267, 596, 1058, 979, 547, 519, 4387, 5612, 269, 0, 2691, 649, 6633, 3282, 267, 5755, 267, 543, 3154, 267, 649, 1810, 1406, 1175, 2743, 938, 1648, 2115, 1765, 933, 5397, 519, 1699, 2518, 8337, 6433, 607, 1134, 269, 26187, 559, 10173, 3132, 1804, 9424, 540, 3327, 8166, 950, 14616, 269, 12539, 5434, 15972, 3002, 538, 519, 5790, 543, 1291, 547, 2916, 1689, 563, 1692, 1281, 5755, 1860, 519, 1604, 888, 763, 8781, 540, 8093, 10173, 13847, 8511, 9362, 883, 519, 5790, 267, 2810, 2157, 540, 2910, 273, 543, 824, 575, 13293, 267, 29212, 3002, 267, 543, 7700, 547, 2518, 2916, 1689, 269, 2560, 15021, 30187, 1379, 2371, 5305, 811, 8511, 9362, 829, 1770, 540, 1648, 3812, 982, 1022, 824, 5201, 2707, 630, 272, 1916, 1692, 1281, 3282, 2504, 1860, 519, 1604, 888, 20245, 1764, 540, 3282, 454, 302, 559, 5533, 666, 723, 513, 14042, 1198, 593, 519, 1216, 1604, 267, 621, 19082, 936, 519, 2627, 538, 513, 6094, 4494, 602, 13515, 5135, 3478, 547, 519, 2371, 543, 2831, 602, 2661, 538, 519, 1216, 269, 13813, 5533, 281, 28746, 2831, 543, 7786, 269, 11151, 15591, 538, 2371, 563, 1692, 1281, 5755, 1860, 519, 2916, 888, 20458, 1689, 568, 5755, 779, 1034, 3978, 267, 1279, 3856, 267, 2518, 1764, 269, 6314, 1227, 267, 5755, 568, 6140, 3327, 267, 799, 267, 950, 14616, 267, 23465, 609, 5135, 538, 519, 2011, 547, 3132, 3327, 8166, 267, 513, 3002, 13652, 6137, 3154, 269, 1879, 5950, 883, 519, 5790, 267, 3327, 8166, 1568, 899, 513, 24120, 267, 8337, 519, 3618, 1657, 3339, 7182, 563, 1692, 1281, 5755, 5599, 6861, 519, 1604, 888, 10870, 531, 5599, 13847, 6757, 2326, 883, 519, 3037, 543, 1216, 269, 2560, 898, 13847, 5755, 9553, 15655, 799, 568, 476, 736, 2053, 811, 3532, 982, 3327, 8166, 269, 853, 8692, 5599, 6589, 585, 476, 2412, 260, 540, 519, 1158, 779, 5755, 15183, 543, 519, 2853, 30001, 8916, 267, 7733, 543, 7320, 3110, 2787, 563, 3963, 568, 5755, 1648, 3983, 585, 519, 1604, 888, 26589, 609, 4946, 547, 8511, 3154, 5533, 267, 8781, 5755, 32307, 6757, 543, 15910, 8328, 6878, 883, 938, 2011, 267, 1216, 543, 2244, 267, 16094, 7133, 519, 1072, 540, 19379, 267, 4600, 543, 4478, 2950, 563, 1432, 4523, 950, 3282, 568, 6569, 689, 3047, 888, 2691, 3282, 543, 3154, 568, 13939, 267, 519, 642, 6950, 6445, 609, 1216, 267, 799, 568, 513, 1447, 2500, 1202, 15975, 269, 901, 1797, 811, 3002, 689, 519, 3047, 779, 9703, 666, 581, 5342, 547, 519, 2627, 267, 4929, 519, 2244, 543, 519, 5836, 547, 3636, 269, 1284, 6743, 693, 8337, 3466, 538, 3282, 543, 3154, 6721, 4525, 2066, 519, 1158, 563, 1692, 666, 3282, 3549, 2149, 519, 1604, 888, 305, 14445, 532, 15195, 6165, 543, 20993, 1216, 9657, 454, 1103, 2487, 1296, 267, 1498, 267, 3282, 3549, 723, 4824, 741, 15195, 9657, 3157, 547, 606, 26195, 4192, 4110, 267, 5883, 547, 22120, 1063, 476, 3199, 543, 476, 4817, 260, 593, 3328, 563, 1692, 1454, 5533, 1281, 3282, 3132, 888, 4002, 3328, 267, 3282, 2504, 19501, 540, 476, 1015, 269, 274, 10101, 540, 5434, 585, 1169, 19251, 1690, 537, 548, 540, 19020, 267, 855, 6082, 609, 519, 1034, 3327, 25673, 2853, 1835, 1678, 539, 856, 5434, 693, 5176, 7466, 602, 2557, 563, 1432, 616, 519, 11393, 540, 5755, 888, 763, 2101, 19319, 540, 5755, 568, 922, 2942, 1764, 593, 519, 1604, 269, 15021, 1532, 9506, 1648, 2371, 616, 513, 2101, 2707, 540, 2011, 5533, 543, 8511, 3154, 5434, 269, 769, 1840, 547, 3327, 24785, 543, 5230, 8407, 899, 16035, 267, 519, 946, 540, 5755, 13847, 16247, 8166, 267, 513, 5739, 6219, 5532, 547, 3679, 4764, 563, 1432, 6871, 540, 5533, 568, 3361, 676, 5755, 888, 1103, 476, 1001, 277, 267, 5755, 2371, 5950, 476, 272, 267, 25240, 2929, 11973, 9748, 540, 2910, 273, 267, 610, 513, 476, 6924, 2600, 2671, 540, 519, 2698, 540, 476, 272, 267, 279, 2641, 2929, 11973, 9748, 267, 829, 661, 8656, 7194, 269, 1323, 29252, 5755, 2030, 13847, 1082, 5739, 14107, 281, 1452, 1331, 827, 476, 14625, 6550, 540, 1291, 267, 15244, 540, 20879, 267, 543, 476, 24798, 9748, 540, 3327, 24785, 563, 3963, 649, 1058, 3247, 1210, 5755, 888, 2026, 540, 476, 1001, 271, 267, 5755, 20039, 585, 476, 6246, 260, 540, 2518, 8511, 3154, 5434, 689, 4492, 13674, 269, 15439, 2322, 267, 547, 4194, 519, 2916, 6433, 649, 1590, 3247, 8781, 5755, 269, 16763, 1297, 835, 568, 1427, 3931, 2025, 5755, 2371, 269, 2560, 12539, 8166, 630, 4596, 273, 264, 568, 519, 1292, 8511, 3154, 267, 543, 568, 519, 3056, 2014, 540, 2518, 8337, 563, 1692, 1281, 5599, 6861, 519, 1604, 888, 10907, 1484, 519, 1158, 267, 5599, 8309, 547, 11761, 267, 16173, 32440, 267, 17717, 267, 2530, 540, 9265, 267, 1713, 946, 540, 1216, 2200, 267, 546, 25428, 8933, 543, 11432, 539, 7297, 267, 16894, 12871, 2152, 267, 3679, 9553, 12775, 543, 12526, 540, 3037, 267, 2666, 543, 2627, 1216, 267, 782, 540, 799, 666, 1291, 547, 1072, 2152, 538, 2199, 6693, 1692, 1454, 1281, 5755, 3565, 547, 2518, 8337, 888, 10870, 531, 568, 519, 2582, 7887, 23784, 547, 27643, 2916, 1689, 269, 634, 8781, 540, 5755, 568, 3743, 585, 476, 5379, 260, 540, 3327, 8166, 5434, 5001, 543, 6589, 585, 476, 7761, 260, 540, 2698, 8511, 3154, 630, 21203, 294, 264, 5434, 689, 519, 5201, 5823, 563, 3963, 568, 5755, 865, 3983, 888, 21080, 5533, 689, 5755, 30187, 1379, 2371, 568, 5532, 609, 10447, 267, 2860, 267, 2295, 543, 5761, 22074, 267, 14715, 2042, 267, 3679, 4764, 267, 2518, 8337, 267, 543, 824, 4049, 2825, 543, 1857, 1072, 5222, 269, 0, 1432, 568, 19852, 3196, 454, 25898, 596, 899, 547, 917, 1018, 7344, 19852, 568, 543, 875, 596, 666, 5173, 621, 286, 17828, 267, 1317, 602, 781, 4010, 1018, 649, 2491 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4138, 18194, 17201, 21833, 12811, 11012, 5284, 371, 28027, 8563, 28476, 31502, 16068, 16648, 397, 488, 3264, 7549, 4344, 268, 15671, 12811, 3264, 13077, 4344, 18775, 269, 2843, 353, 7846, 4709, 7549, 30530, 9326, 18194, 17201, 21833, 20265, 11714, 9924, 13194, 9924, 8563, 28476, 31502, 11012, 6459, 29391, 7846, 19628, 27569, 4138, 9261, 16068, 16648, 13077, 13194, 21134, 912, 1721, 1714, 538, 1249, 3799, 1040, 2843, 353, 7846, 4709, 7549, 30530, 9326, 16068, 4344, 8563, 3264, 10948, 3522, 20046, 30935, 10780, 17201, 7846, 10948, 23845, 3264, 16044, 482, 3522, 7549, 4344, 18775, 4138, 3522, 20977, 24893, 25986, 20977, 267, 25602, 11714, 16044, 484, 4138, 7549, 6459, 3264, 14359, 3264, 29652, 17153, 19757, 4138, 9261, 3378, 11714, 9924, 8563, 19757, 4138, 31224, 454, 4344, 17201, 9841, 7549, 3378, 10780, 21268, 8563, 9924, 3264, 562, 24893, 25986, 3264, 6459, 267, 21660, 10948, 4138, 20265, 9326, 11012, 476, 272, 256, 15800, 18194, 3378, 562, 256, 563, 396, 509, 19757, 4736, 18547, 13194, 18547, 281, 16044, 482, 3522, 7549, 4344, 18775, 4138, 3522, 6459, 24893, 25986, 20977, 562, 2443, 29824, 3378, 4138, 13194, 8563, 29391, 23845, 3264, 24893, 25986, 3264, 6459, 16068, 4344, 476, 272, 18194, 3378, 562, 269, 2843, 507, 3522, 10528, 23485, 9261, 21268, 267, 16044, 482, 3522, 7549, 4344, 18775, 4138, 3522, 6459, 454, 10948, 20046, 9924, 4814, 397, 495, 17153, 476, 275, 256, 815, 476, 272, 2608, 476, 273, 2608, 476, 274, 2608, 476, 275, 815, 476, 2190, 563, 12163, 5228, 2979, 1104, 27353, 692, 333, 815, 703, 9272, 3488, 29551, 8563, 29391, 4138, 16021, 24893, 25986, 6459, 3378, 267, 18194, 3378, 17095, 30324, 18775, 22147, 3378, 11714, 9924, 10948, 25986, 31124, 27671, 16044, 482, 3522, 7549, 4344, 18775, 4138, 3522, 6459, 9924, 263, 8563, 7549, 6459, 19628, 10948, 4138, 16021, 23783, 21170, 2567, 1412, 264, 9239, 3698, 1250, 318, 2399, 3645, 338, 263, 1173, 2187, 825, 585, 1775, 538, 2039, 263, 272, 267, 2415, 1341, 476, 272, 2187, 1038, 6556, 27353, 9217, 9239, 10090, 1807, 815, 1250, 318, 2399, 3645, 338, 3799, 994, 1721, 1775, 267, 1714, 538, 26246, 263, 10090, 1807, 2187, 825, 1820, 6600, 262, 346, 328, 266, 272, 348, 256, 815, 2715, 601, 348, 5073 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 540, 3318, 8658, 563, 10743, 666, 6707, 2347, 606, 2228, 8804, 1576, 1247, 2324, 513, 851, 6066, 2816, 676, 7561, 5883, 707, 942, 267, 9001, 519, 2645, 693, 707, 12871, 267, 543, 7311, 2883, 2093, 547, 4890, 7653, 269, 634, 5383, 979, 3564, 519, 4928, 267, 7175, 596, 547, 1118, 8797, 2883, 3664, 543, 5355, 707, 8458, 540, 513, 4876, 538, 519, 12948, 5823, 269, 9796, 2576, 547, 1491, 1250, 2228, 1362, 568, 1360, 6225, 585, 3478, 519, 10467, 543, 6780, 2944, 269, 0, 28398, 532, 568, 519, 1184, 540, 5329, 519, 2883, 8852, 540, 519, 2754, 269, 634, 2272, 1218, 17412, 519, 8852, 538, 519, 1106, 540, 4760, 13366, 269, 1452, 13366, 616, 1031, 538, 1433, 15209, 269, 634, 2835, 540, 6589, 616, 5423, 607, 829, 519, 4808, 543, 849, 1246, 519, 13575, 20504, 539, 19098, 14362, 630, 16598, 4338, 264, 610, 519, 17692, 11965, 630, 17220, 11038, 27561, 11621, 264, 3741, 563, 2252, 606, 25566, 14509, 519, 1433, 540, 6589, 267, 646, 24172, 666, 1205, 513, 4023, 2856, 540, 519, 2883, 3510, 540, 519, 2754, 269, 4935, 267, 585, 1857, 7396, 3549, 267, 519, 1433, 540, 6589, 568, 2556, 547, 3313, 519, 2754, 29925, 563, 22746, 2228, 17118, 723, 1044, 513, 1565, 3760, 602, 2488, 2789, 3457, 538, 1818, 513, 4928, 32705, 267, 16168, 267, 543, 2502, 269, 5047, 267, 6306, 689, 519, 26350, 540, 942, 22766, 267, 519, 2228, 17118, 2061, 10457, 689, 32533, 269, 4746, 267, 2228, 17118, 948, 547, 1174, 519, 6626, 1888, 538, 513, 1454, 12863, 1259, 799, 666, 581, 513, 2462, 2744, 585, 1620, 519, 1641, 607, 513, 2898, 543, 849, 948, 519, 1053, 547, 9787, 513, 2603, 540, 1702, 563, 9827, 267, 607, 649, 616, 3222, 602, 6267, 666, 3362, 1205, 19252, 543, 3668, 1445, 950, 789, 1353, 585, 1279, 5712, 540, 942, 269, 769, 1931, 547, 11883, 609, 713, 20159, 267, 972, 616, 2228, 585, 1053, 269, 23433, 2934, 971, 607, 1379, 13522, 543, 2661, 21686, 4580, 538, 13658, 8240, 666, 5818, 741, 1719, 4724, 519, 7688, 269, 5015, 972, 616, 1896, 2640, 540, 4758, 2228, 17118, 585, 1053, 269, 1924, 1946, 7227, 267, 9796, 2576, 547, 1491, 1250, 2228, 6589, 7688, 585, 803, 563, 19119, 540, 6732, 13658, 8240, 912, 268, 22996, 616, 8362, 7722, 538, 1641, 1570, 454, 268, 13658, 8240, 666, 2333, 8404, 454, 268, 29452, 547, 11291, 519, 1344, 543, 6060, 1434, 454, 268, 898, 666, 2569, 6267, 2566, 563, 11328, 5562, 2228, 17118, 723, 513, 6225, 1764, 593, 1053, 269, 23207, 1053, 685, 9525, 267, 8404, 267, 1732, 6060, 543, 2566, 5786, 616, 1896, 2640, 602, 1053, 1205, 676, 2921, 2228, 17118, 269, 0, 30942, 16821, 568, 835, 7986, 1383, 540, 513, 1007, 5108, 540, 3642, 3631, 602, 616, 23900, 30507, 519, 1259, 1004, 960, 267, 1404, 267, 543, 1184, 1344, 269, 1548, 2306, 31744, 3294, 865, 11141, 568, 602, 621, 568, 519, 4395, 14725, 1676, 538, 519, 2361, 540, 1804, 1893, 3631, 1107, 17187, 3301, 3292, 602, 616, 8036, 593, 2067, 1480, 1893, 9676, 689, 519, 4950, 563, 7437, 14139, 8849, 5121, 267, 19208, 666, 946, 713, 5318, 7535, 540, 1344, 547, 13865, 1125, 2055, 4280, 540, 621, 267, 543, 2626, 538, 513, 1259, 602, 13147, 923, 2067, 1893, 1107, 23344, 267, 609, 519, 4324, 540, 10373, 7384, 1379, 543, 2282, 2987, 560, 656, 10389, 11291, 563, 1607, 2306, 621, 606, 11212, 14984, 1907, 585, 946, 538, 513, 3099, 540, 2081, 269, 1403, 596, 4076, 5129, 1472, 609, 19208, 543, 1044, 24330, 609, 922, 2702, 547, 4431, 547, 707, 14511, 855, 616, 18516, 1141, 547, 1376, 547, 2731, 2253, 547, 1118, 519, 1034, 540, 1018, 621, 3091, 267, 2015, 891, 9670, 3096, 2630, 563, 2691, 835, 533, 13415, 547, 2015, 621, 267, 621, 779, 2653, 547, 1174, 1946, 513, 1804, 1893, 2203, 1223, 581, 6225, 538, 707, 1893, 1565, 3460, 269, 2755, 519, 15055, 540, 2442, 5867, 899, 13660, 565, 22857, 616, 6038, 1869, 1732, 14018, 547, 1565, 519, 9238, 540, 1776, 1893, 267, 7064, 547, 922, 3573, 1646, 267, 19208, 666, 581, 513, 9735, 1840, 547, 707, 1565, 13467, 563, 30942, 16821, 666, 3717, 547, 8795, 5232, 540, 15334, 538, 7366, 540, 1114, 4654, 1107, 1498, 621, 779, 4502, 15663, 602, 519, 811, 1164, 7779, 2866, 1239, 621, 814, 1569, 547, 538, 513, 2016, 1893, 786, 5330, 609, 922, 2702, 547, 3717, 621, 269, 4935, 267, 4654, 609, 1804, 5666, 540, 1239, 267, 899, 5053, 543, 13495, 18288, 267, 616, 1655, 14018, 585, 713, 4305, 563, 30942, 16821, 568, 513, 28025, 2189, 1907, 7064, 547, 519, 1249, 621, 814, 1044, 8036, 593, 5458, 12531, 540, 2067, 1893, 1239, 269, 901, 6087, 621, 547, 2497, 543, 1459, 1344, 538, 513, 1259, 602, 568, 3362, 7558, 1043, 543, 17841, 547, 1480, 3403, 563, 3719, 19208, 779, 10626, 666, 1256, 581, 2417, 31903, 609, 519, 948, 540, 519, 1585, 6462, 11690, 1231, 602, 666, 581, 7471, 883, 519, 2203, 269, 901, 10741, 909, 3388, 689, 1239, 12642, 547, 1256, 1483, 6066, 4950, 19707, 267, 22338, 519, 1259, 585, 513, 1297, 540, 10578, 3156, 563, 2690, 1383, 267, 513, 3395, 1297, 540, 1004, 616, 3478, 6209, 13304, 720, 689, 10912, 593, 31744, 547, 4217, 538, 519, 1950, 543, 3728, 2173, 8221, 1158, 540, 2228, 9467, 7064, 547, 922, 2702, 547, 6385, 5659, 2344, 3466, 543, 1256, 2932, 538, 3829, 2079, 540, 2883, 1239, 11643, 547, 621, 563, 30942, 16821, 779, 2067, 1893, 543, 7744, 5759, 666, 2417, 4217, 1346, 25054, 593, 741, 1101, 3268, 538, 9467, 855, 15603, 873, 2649, 1947, 4137, 856, 741, 1367, 10892, 547, 1981, 543, 666, 2303, 4485, 543, 2994, 2509, 14769, 29159, 602, 1655, 6474, 891, 7375, 563, 16821, 568, 513, 3532, 4199, 585, 4543, 596, 1106, 26940, 4566, 267, 2921, 607, 621, 1281, 922, 1344, 689, 5318, 5666, 540, 1239, 10356, 689, 519, 4950, 563, 2690, 1383, 267, 2576, 16462, 547, 7832, 593, 14311, 5986, 15347, 6954, 1426, 666, 2307, 31744, 547, 28433, 513, 7594, 1544, 17501, 713, 7662, 269, 1548, 779, 11141, 827, 713, 568, 875, 1454, 596, 666, 14574, 1767, 1544, 547, 707, 1367, 4170, 269, 14597, 596, 2461, 16462, 547, 8897, 883, 713, 1826, 540, 4189, 7444, 1107, 596, 1223, 723, 31744, 1711, 513, 476, 277, 22173, 7594, 1544, 602, 5051, 8591, 15347, 6954, 6980, 547, 707, 2834, 2732, 563, 2791, 666, 1256, 1205, 5393, 30704, 267, 28408, 4170, 585, 10101, 540, 1114, 5672, 1258, 19153, 547, 2327, 596, 2461, 4189, 4010, 519, 9422, 9043, 540, 519, 1426, 596, 1616, 269, 634, 2203, 666, 1287, 5352, 513, 10918, 1592, 689, 519, 10346, 621, 814, 25282, 543, 1942, 713, 2649, 1947, 1107, 15603, 596, 917, 1175, 875, 1454, 596, 2461, 3168, 547, 6108, 538, 519, 1184, 269, 0, 30873, 1689, 476, 1708, 274, 454, 20458, 1689, 568, 711, 1175, 513, 11397, 1966, 267, 621, 779, 513, 6433, 602, 779, 5679, 12177, 593, 938, 9885, 269, 12207, 616, 10825, 519, 2262, 543, 10213, 875, 5906, 621, 568, 585, 2713, 7919, 269, 5158, 593, 3047, 568, 538, 3665, 8594, 269, 901, 9963, 568, 1759, 593, 513, 2487, 1867, 602, 5654, 693, 519, 3665, 4365, 2621, 543, 8375, 5210, 649, 4076, 4810, 538, 476, 1708, 274, 563, 763, 1032, 476, 1708, 274, 786, 1831, 519, 29224, 1032, 2687, 547, 5359, 269, 15907, 519, 1158, 267, 649, 4076, 14754, 14042, 3002, 30335, 267, 17160, 907, 1452, 2621, 616, 811, 5906, 543, 2834, 982, 649, 4397, 269, 799, 568, 6028, 1004, 538, 1390, 9810, 563, 763, 4295, 540, 519, 3390, 6013, 538, 938, 8766, 3356, 538, 4227, 519, 5434, 3743, 585, 8022, 519, 4541, 269, 5682, 5264, 9362, 267, 799, 15972, 3002, 538, 519, 3047, 779, 5790, 267, 616, 693, 2594, 2157, 269, 5047, 267, 24307, 585, 8093, 10173, 723, 1147, 3022, 538, 519, 2250, 1032, 563, 1607, 1989, 574, 4879, 2501, 1175, 1354, 519, 6167, 30505, 2764, 2916, 16395, 563, 763, 1867, 12649, 476, 3374, 968, 341, 1388, 4191, 892, 540, 519, 4541, 267, 543, 476, 736, 540, 873, 723, 6603, 2594, 26037, 713, 1032, 269, 4634, 513, 1507, 2333, 540, 476, 272, 269, 273, 5232, 17622, 538, 2518, 5210, 1657, 840, 11897, 12009, 2157, 814, 15427, 21472, 4539, 563, 763, 4432, 15281, 25123, 4365, 7613, 814, 3361, 2731, 3905, 4365, 538, 519, 2250, 1614, 3275, 267, 8840, 2837, 5638, 269, 901, 568, 3983, 585, 4262, 1272, 267, 14147, 18625, 267, 543, 9341, 15420, 563, 1432, 779, 8338, 267, 649, 2461, 2348, 811, 2395, 609, 5210, 936, 476, 272, 269, 276, 5232, 17622, 2362, 982, 1354, 22713, 269, 901, 1223, 1291, 547, 3978, 3441, 267, 899, 13621, 4672, 9212, 267, 555, 1177, 532, 7989, 2378, 15543, 543, 4856, 531, 18625, 12955, 563, 3719, 972, 779, 1869, 4126, 952, 649, 957, 1631, 269, 1284, 991, 547, 2569, 5533, 865, 649, 666, 3247, 5210, 689, 8375, 1932, 1454, 269, 4634, 1507, 3646, 666, 948, 17542, 540, 1004, 2057, 15265, 2175, 538, 519, 2104, 563, 6097, 547, 519, 1867, 782, 1158, 3401, 991, 547, 1491, 2178, 2962, 543, 1927, 649, 666, 4688, 1272, 593, 3618, 1547 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 5149, 476, 1015, 281, 10049, 3163, 538, 13870, 7177, 281, 4197, 519, 10020, 540, 7698, 19139, 538, 8605, 5071, 543, 19007, 692, 7072, 912, 1103, 2504, 4702, 267, 519, 5542, 540, 3617, 2326, 4249, 513, 2565, 1909, 538, 8159, 519, 23250, 267, 4398, 267, 2298, 267, 543, 1942, 540, 519, 3803, 1587, 269, 901, 1770, 786, 5490, 4514, 883, 519, 2361, 540, 2326, 2257, 267, 4481, 3695, 875, 621, 12211, 547, 1587, 1374, 543, 5663, 1369, 519, 2796, 540, 2504, 4702, 269, 1635, 11543, 513, 9488, 8223, 540, 713, 1888, 267, 596, 786, 581, 2111, 547, 1118, 5483, 3664, 827, 1570, 5079, 1282, 707, 2104, 3785, 267, 7551, 4180, 602, 789, 2743, 1312, 6198, 4170, 543, 1870, 6859, 780, 272, 269, 634, 11957, 540, 10049, 3163, 538, 8605, 4886, 692, 6524, 11362, 883, 1808, 3344, 540, 2326, 2257, 267, 1577, 781, 1101, 1174, 1946, 7446, 519, 1318, 2326, 568, 2629, 585, 3811, 1587, 1646, 269, 2368, 4128, 1331, 1384, 265, 20051, 2773, 7355, 281, 7756, 2326, 4865, 2189, 3601, 971, 607, 4222, 267, 15006, 267, 8112, 267, 19428, 267, 4187, 547, 14809, 267, 543, 2597, 269, 29922, 5078, 3283, 5849, 602, 2472, 666, 1599, 5688, 958, 896, 4397, 2175, 1247, 20170, 547, 3106, 4441, 563, 265, 31514, 3302, 13701, 281, 15742, 2326, 22937, 2933, 1732, 547, 1880, 21753, 2553, 630, 324, 3052, 1421, 16213, 267, 585, 3101, 267, 20619, 1040, 7743, 569, 12805, 2326, 609, 6074, 2409, 6908, 6050, 2504, 3157, 267, 6971, 3653, 267, 24506, 3790, 267, 543, 10607, 2949, 6556, 563, 265, 3281, 2391, 609, 6042, 1299, 24501, 281, 15316, 6080, 723, 22608, 4808, 3823, 1570, 6165, 1813, 547, 2825, 4145, 267, 1072, 4220, 267, 610, 824, 2188, 269, 1520, 11447, 547, 891, 3652, 949, 1764, 2344, 1569, 267, 7082, 3972, 267, 543, 3656, 20824, 563, 265, 25417, 6940, 7341, 281, 14992, 5051, 3343, 10357, 7888, 8925, 547, 2757, 2326, 269, 30459, 4264, 2853, 2429, 519, 1871, 5832, 1107, 1519, 1570, 27126, 267, 4393, 267, 946, 267, 543, 12871, 1107, 10240, 9094, 9746, 1514, 5539, 3646, 543, 5732, 22587, 547, 13476, 6857, 6800, 780, 273, 269, 6206, 16544, 540, 10049, 692, 2414, 3927, 6218, 1114, 2326, 267, 8030, 1058, 24559, 2933, 609, 1896, 1898, 3601, 1384, 265, 20996, 3601, 281, 1452, 4766, 875, 513, 1570, 20781, 950, 16271, 547, 5007, 4229, 269, 6201, 1331, 28995, 4222, 267, 735, 4809, 4222, 267, 22786, 267, 21052, 267, 543, 32297, 563, 265, 26365, 3601, 281, 31999, 4162, 7854, 13621, 1448, 267, 3002, 4390, 267, 8143, 7269, 11664, 267, 543, 5122, 5706, 2032, 563, 265, 11906, 3601, 281, 14265, 1017, 10305, 2874, 540, 3114, 5888, 267, 5114, 3928, 267, 6617, 267, 543, 18687, 547, 12159, 563, 265, 30677, 3601, 281, 1280, 930, 3156, 267, 1769, 10338, 267, 8086, 267, 6771, 267, 1201, 3555, 267, 543, 2681, 1522, 3815, 3648, 883, 1570, 3903, 563, 265, 7025, 3601, 281, 11790, 899, 7686, 18341, 1464, 267, 6691, 1464, 267, 5710, 1464, 267, 543, 22993, 1648, 1404, 513, 3395, 1909, 538, 2413, 1587, 1374, 780, 274, 269, 26386, 540, 7698, 19139, 692, 2691, 8939, 2326, 267, 9270, 3335, 4125, 13326, 4123, 32187, 1063, 14909, 7907, 543, 1761, 19363, 269, 589, 9836, 1935, 3322, 1384, 265, 17291, 3119, 3252, 543, 10148, 281, 16294, 2838, 2773, 14573, 267, 5665, 5054, 267, 2139, 2200, 267, 543, 1022, 4143, 2872, 8155, 610, 9993, 563, 265, 681, 21403, 14422, 281, 14419, 799, 3601, 3180, 6574, 2956, 585, 6099, 10342, 543, 23812, 563, 265, 30587, 10457, 281, 3194, 1761, 3681, 1210, 12240, 267, 3332, 8039, 267, 4274, 8369, 267, 610, 8097, 4152, 269, 715, 5535, 1524, 7399, 1759, 593, 3355, 10526, 563, 265, 28518, 1283, 733, 11367, 281, 9524, 811, 11826, 2079, 593, 6967, 16548, 267, 9236, 741, 3448, 26350, 2066, 1883, 7516, 563, 265, 4406, 573, 908, 25926, 281, 4762, 3305, 29839, 998, 1486, 19685, 267, 11191, 9781, 267, 610, 12681, 8255, 269, 594, 614, 622, 607, 2877, 2394, 25685, 2164, 10836, 780, 275, 269, 11628, 16610, 538, 10049, 3163, 692, 2026, 938, 1620, 540, 2326, 8441, 267, 3209, 4485, 8451, 602, 4161, 6671, 7326, 543, 7903, 6302, 540, 1018, 781, 2009, 1384, 265, 12829, 2326, 281, 4746, 1634, 607, 17841, 610, 13261, 2326, 267, 891, 6878, 1689, 2623, 538, 3210, 547, 15128, 971, 607, 2837, 267, 7509, 267, 3167, 4610, 267, 6419, 4610, 267, 610, 2566, 269, 10241, 12732, 3309, 9922, 267, 689, 2564, 3457, 547, 17562, 547, 4070, 563, 265, 29119, 574, 545, 787, 281, 27837, 676, 2470, 267, 9858, 1413, 547, 2713, 7103, 585, 6667, 538, 2870, 1007, 2326, 610, 5355, 4540, 3283, 269, 1401, 6374, 1513, 1331, 17178, 16536, 630, 1410, 4003, 958, 2178, 2943, 8465, 264, 543, 2603, 639, 3762, 630, 1345, 268, 2193, 22135, 7252, 1916, 265, 5410, 1438, 5663, 281, 28871, 5219, 547, 607, 476, 274, 291, 8228, 267, 19605, 5663, 6087, 5137, 540, 1950, 22762, 1845, 4494, 8386, 2000, 9707, 1510, 8506, 28633, 610, 10523, 269, 898, 10741, 909, 7399, 585, 4028, 1486, 19685, 267, 29356, 267, 543, 2527, 2504, 540, 6946, 3334, 780, 6962, 912, 8139, 2326, 2257, 568, 14063, 585, 1967, 538, 2504, 4702, 267, 3226, 1369, 519, 7706, 540, 1587, 1374, 543, 5663, 269, 3414, 6297, 7156, 540, 4143, 3601, 267, 3498, 540, 9836, 6268, 10850, 267, 543, 16107, 4359, 2035, 267, 596, 666, 18390, 2824, 2326, 602, 1655, 5447, 609, 1788, 3853, 543, 6626, 10721, 17050, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 30948, 568, 13870, 7177, 888, 303, 3174, 4702, 568, 519, 5916, 7936, 540, 1906, 4702, 8371, 799, 16621, 5663, 2029, 543, 4702, 2257, 609, 519, 2359, 540, 2257, 269, 13870, 7177, 568, 1031, 547, 1020, 519, 3157, 585, 7432, 909, 519, 6151, 2326, 883, 513, 5551, 8737, 1570, 610, 6221, 269, 13870, 4702, 568, 849, 1634, 607, 5663, 4702, 610, 4853, 4702, 269, 13870, 4702, 13315, 1585, 3156, 799, 616, 7396, 2630, 912, 334, 10724, 4393, 2676, 334, 10435, 4745, 263, 14765, 1456, 1184, 13211, 334, 19045, 5969, 2676, 334, 27588, 540, 2645, 2676, 334, 10724, 2645, 2676, 334, 7557, 1456, 1062, 2676, 334, 808, 580, 543, 26892, 2676, 334, 631, 746, 6272, 2676, 334, 12603, 1374, 2676, 334, 7698, 2257, 2676, 334, 14825, 9394, 2694, 8888, 2676, 334, 19007, 540, 3684, 2676, 334, 10724, 1374, 3092, 563, 297, 984, 3255, 538, 13870, 7177, 454, 763, 13870, 11653, 26328, 2647, 2039, 540, 1983, 543, 8456, 1759, 593, 3621, 1702, 543, 3743, 585, 8888, 519, 1184, 540, 5663, 1587, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 29605, 3163, 257, 607, 851, 540, 834, 291, 2464, 22218, 1315, 11633, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 23558, 593, 707, 3375, 547, 1305, 909, 513, 4552, 2892, 517, 593, 713, 4241, 4541, 1572, 3047, 256, 1306, 596, 6330, 998, 713, 14542, 8513, 267, 649, 2811, 9599, 547, 3391, 596, 1169, 1900, 540, 519, 1259, 780, 8923, 4063, 602, 713, 3102, 5850, 17648, 1100, 1991, 1702, 540, 1480, 4205, 610, 1870, 4238, 269, 1284, 3513, 1491, 621, 835, 1900, 693, 513, 942, 267, 7713, 3388, 689, 15072, 780, 1262, 3721, 476, 272, 281, 4197, 5274, 22458, 543, 717, 3336, 532, 4373, 6524, 11362, 883, 4259, 909, 513, 4552, 2892, 517, 267, 1577, 781, 1376, 609, 519, 9238, 1384, 265, 2878, 14549, 22458, 5093, 18972, 723, 4552, 3395, 593, 741, 9843, 267, 799, 568, 1500, 540, 23128, 11294, 3940, 269, 898, 2501, 538, 1585, 18282, 630, 14259, 697, 267, 1225, 569, 267, 530, 8283, 1070, 13080, 267, 543, 4778, 563, 265, 2878, 294, 3336, 532, 5093, 18972, 2259, 2123, 9882, 676, 11067, 267, 18908, 1782, 267, 543, 4509, 741, 4552, 269, 1358, 946, 2645, 899, 2036, 338, 267, 26814, 267, 23805, 267, 543, 3002, 14233, 547, 3035, 5551, 5654, 563, 265, 2878, 295, 1515, 25797, 5093, 589, 688, 1844, 583, 3322, 5969, 543, 5935, 4552, 1210, 7463, 2553, 543, 3937, 269, 1703, 616, 1082, 6163, 267, 971, 607, 959, 15501, 267, 535, 3547, 267, 6106, 267, 543, 811, 780, 3086, 602, 596, 1174, 519, 17950, 267, 1577, 781, 1847, 4464, 2439, 1262, 3721, 476, 273, 281, 3194, 532, 10871, 22769, 543, 13397, 5151, 4373, 2414, 7500, 513, 3656, 543, 3811, 4552, 2892, 517, 267, 596, 991, 547, 16783, 609, 2199, 4031, 543, 6042, 1384, 265, 2878, 19968, 32310, 5093, 19193, 707, 2892, 517, 609, 519, 4143, 2229, 8128, 267, 3246, 2556, 6054, 899, 6169, 540, 3961, 267, 2232, 267, 543, 1870, 2012, 563, 265, 2878, 299, 545, 5151, 543, 18983, 1080, 5093, 5136, 1555, 2838, 27121, 267, 14998, 267, 543, 24501, 1808, 547, 707, 4087, 269, 1452, 1522, 1331, 5898, 1153, 9733, 5557, 267, 5430, 5471, 1108, 27121, 267, 610, 1072, 8257, 14998, 563, 265, 2878, 11900, 4269, 5093, 21733, 790, 15668, 6142, 547, 2149, 3054, 543, 7218, 538, 2013, 540, 10913, 610, 7063, 780, 10673, 1405, 5855, 952, 891, 2474, 3100, 4914, 282, 2307, 17137, 610, 5077, 2228, 2200, 585, 5583, 780, 1262, 3721, 476, 274, 281, 19805, 513, 6355, 19715, 4373, 15675, 532, 519, 1318, 5544, 585, 707, 2892, 517, 666, 1118, 610, 2736, 922, 1967, 1384, 265, 2878, 293, 2393, 29853, 5093, 8838, 585, 2127, 609, 1164, 3723, 6808, 267, 971, 607, 10918, 13102, 267, 25708, 7740, 267, 610, 11112, 10754, 563, 265, 2878, 20779, 16623, 5093, 6333, 519, 2085, 267, 4747, 1377, 267, 543, 6197, 540, 1761, 5561, 2713, 7404, 563, 265, 2878, 16966, 2225, 5093, 3550, 2653, 18736, 267, 30523, 10333, 267, 543, 16133, 547, 1857, 6283, 780, 28716, 1761, 6753, 1282, 8445, 3108, 547, 7747, 6075, 2095, 543, 1205, 513, 1745, 585, 519, 1858, 780, 1262, 3721, 476, 275, 281, 27588, 2659, 6428, 517, 6611, 4373, 9558, 845, 707, 6074, 2230, 883, 513, 22205, 522, 12118, 1384, 265, 2878, 299, 599, 719, 5093, 4643, 519, 6989, 1544, 6236, 960, 560, 725, 267, 7996, 2127, 267, 4859, 267, 543, 29319, 899, 1964, 7741, 543, 29295, 618, 10473, 563, 265, 2878, 299, 18017, 5093, 12305, 5078, 8654, 585, 4247, 899, 2681, 3498, 267, 17539, 3156, 267, 543, 2489, 5605, 4800, 563, 265, 2878, 13420, 3612, 5093, 27619, 1898, 11647, 267, 23107, 267, 29826, 267, 3819, 619, 267, 543, 824, 2556, 2645, 563, 265, 2878, 13356, 528, 5093, 8073, 513, 11617, 13267, 5790, 609, 4778, 267, 11247, 267, 543, 17960, 10452, 707, 6216, 781, 7209, 780, 8256, 738, 9703, 9858, 610, 16413, 952, 2877, 267, 543, 1810, 1405, 19292, 547, 2307, 2055, 780, 1262, 3721, 476, 276, 281, 670, 3931, 16065, 543, 8490, 513, 12243, 4373, 2026, 14517, 513, 16805, 2319, 547, 948, 2196, 707, 2892, 517, 12347, 1384, 265, 2878, 297, 984, 2677, 18587, 5093, 16294, 5107, 543, 9021, 585, 18935, 1235, 267, 20843, 267, 21200, 1235, 267, 543, 2359, 5234, 563, 265, 2878, 11328, 1613, 338, 5093, 18430, 9488, 11042, 12570, 1983, 267, 1995, 267, 543, 10182, 563, 265, 2878, 32086, 5093, 3629, 5571, 2069, 543, 2866, 7886, 547, 2327, 5234, 3251, 8242, 593, 3466, 543, 1655, 2853, 563, 265, 2878, 5938, 600, 18868, 5093, 23340, 1930, 2792, 267, 2463, 267, 543, 16542, 1851, 5520, 780, 6826, 5423, 547, 2626, 2055, 827, 707, 5075, 267, 4507, 267, 543, 6788, 1282, 519, 17849, 1184, 780, 1262, 3721, 476, 277, 281, 16373, 543, 8871, 10056, 4373, 16920, 847, 7218, 543, 1628, 707, 10639, 998, 2500, 6725, 2994, 1384, 265, 2878, 289, 8681, 532, 5093, 3763, 513, 2189, 20446, 267, 1793, 25830, 267, 543, 3308, 3961, 585, 707, 2892, 517, 563, 265, 2878, 12892, 9012, 5093, 19372, 4527, 593, 5867, 899, 9365, 267, 17749, 267, 543, 12108, 547, 4497, 609, 5561, 543, 2671, 10311, 563, 265, 2878, 3849, 3200, 2358, 5093, 22982, 6098, 18537, 538, 2199, 12326, 267, 8038, 619, 267, 543, 2228, 1463, 1559, 563, 265, 2878, 17504, 6361, 5336, 1926, 5093, 769, 1417, 643, 1125, 13854, 7218 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 275, 866, 585, 476, 271, 283, 343, 283, 17734, 692, 296, 798, 9095, 5430, 910, 271, 269, 275, 866, 799, 11224, 476, 14625, 269, 6507, 692, 663, 1287, 547, 1265, 519, 2034, 5086, 538, 519, 476, 274, 6113, 9076, 656, 692, 25585, 798, 594, 991, 547, 14263, 476, 11740, 547, 1205, 519, 4110, 538, 519, 476, 274, 6113, 9076, 656, 2496, 25585, 711, 1039, 476, 3445, 547, 476, 14625, 269, 6507, 547, 1118, 621, 538, 519, 476, 274, 6113, 9076, 656, 888, 19972, 7711, 519, 3113, 454, 1492, 476, 272, 560, 835, 568, 476, 271, 266, 14625, 269, 6507, 630, 14625, 269, 6507, 538, 689, 519, 2451, 994, 1492, 476, 273, 526, 835, 568, 476, 11740, 268, 14625, 269, 6507, 630, 14625, 269, 6507, 1394, 689, 519, 1318, 994, 4777, 532, 1341, 3445, 1281, 660, 960, 530, 270, 519, 3113, 9087, 1018, 5430, 1281, 0, 258, 3163, 4211, 20199, 268, 1556, 13174, 667, 13048, 13669, 550, 9612, 1401, 3133, 725, 692, 12385, 24136, 29930, 296, 13878, 30388, 476, 272, 269, 1403, 519, 1599, 535, 3287, 264, 815, 630, 343, 1107, 513, 264, 630, 343, 1107, 536, 264, 1341, 737, 267, 513, 2999, 536, 267, 737, 2999, 476, 271, 814, 1483, 5072, 267, 1287, 630, 320, 264, 1312, 5072, 9114, 1063, 513, 543, 536, 630, 321, 264, 1152, 835, 540, 519, 5072, 9114, 1063, 513, 543, 536, 630, 322, 264, 835, 3597, 568, 4130, 982, 513, 543, 824, 3597, 568, 3152, 982, 536, 269, 630, 323, 264, 2901, 1312, 5072, 616, 4130, 982, 513, 610, 1312, 616, 3152, 982, 536, 269, 476, 273, 269, 634, 1297, 540, 6095, 4133, 602, 666, 581, 1500, 856, 540, 476, 1321, 2699, 9838, 5810, 543, 476, 274, 4544, 9838, 5810, 568, 630, 320, 264, 476, 11011, 630, 321, 264, 476, 2641, 630, 322, 264, 476, 866, 630, 323, 264, 476, 1691, 476, 274, 269, 769, 513, 6906, 267, 519, 5934, 1871, 540, 28422, 273, 288, 1341, 28422, 273, 289, 1341, 28422, 273, 290, 568, 630, 320, 264, 476, 16006, 630, 321, 264, 476, 272, 630, 322, 264, 476, 273, 630, 323, 264, 476, 274, 476, 275, 269, 769, 513, 6906, 267, 519, 5021, 1871, 540, 5609, 288, 1341, 5609, 645, 1341, 5609, 595, 568, 630, 320, 264, 476, 272, 630, 321, 264, 476, 274, 630, 322, 264, 476, 274, 476, 274, 476, 273, 630, 323, 264, 476, 274, 15744, 500, 274, 476, 276, 269, 769, 606, 8650, 2587, 1194, 6906, 267, 519, 5934, 1871, 540, 16009, 589, 1341, 16009, 645, 1341, 16009, 595, 568, 630, 320, 264, 476, 274, 630, 321, 264, 476, 274, 15744, 500, 274, 630, 322, 264, 476, 280, 630, 323, 264, 476, 2767, 476, 277, 269, 634, 1297, 540, 2081, 540, 26084, 476, 276, 681, 553, 326, 1638, 553, 267, 476, 275, 8738, 325, 529, 543, 476, 272, 28247, 5622, 1851, 476, 275, 23548, 326, 1513, 568, 630, 320, 264, 476, 4375, 273, 271, 630, 321, 264, 476, 4281, 275, 271, 630, 322, 264, 476, 14444, 3199, 630, 323, 264, 476, 279, 2412, 476, 278, 269, 1403, 519, 5072, 540, 519, 3830, 4949, 273, 1341, 536, 343, 1341, 524, 815, 476, 271, 616, 540, 1106, 19569, 350, 14370, 22933, 350, 1700, 272, 264, 543, 630, 22933, 350, 1341, 476, 272, 8358, 22933, 350, 267, 1287, 519, 1871, 540, 630, 320, 1341, 536, 1341, 524, 264, 273, 568, 630, 320, 264, 476, 273, 321, 273, 1107, 1035, 630, 321, 264, 536, 273, 1107, 476, 273, 659, 630, 322, 264, 536, 273, 1107, 476, 275, 659, 630, 323, 264, 476, 275, 321, 273, 1107, 476, 273, 659, 910, 2433, 681, 965, 6611, 2433, 910, 1496, 273, 316, 9119, 29930, 296, 476, 279, 269, 1403, 1923, 1990, 272, 1923, 815, 476, 272, 267, 1923, 1990, 273, 1923, 815, 476, 273, 267, 1923, 1990, 274, 1923, 815, 476, 274, 543, 1923, 345, 272, 1341, 1990, 273, 1341, 1990, 274, 1923, 815, 476, 272, 267, 1287, 1923, 476, 280, 345, 272, 345, 273, 1341, 476, 275, 345, 274, 345, 272, 1341, 1990, 273, 345, 274, 1923, 568, 3160, 547, 630, 320, 264, 476, 277, 630, 321, 264, 476, 3607, 630, 322, 264, 476, 21327, 630, 323, 264, 476, 15782, 277, 476, 280, 269, 1403, 513, 267, 536, 267, 524, 267, 533, 267, 7117, 267, 678, 616, 3670, 1950, 2338, 971, 602, 533, 273, 31609, 7117, 273, 31609, 524, 273, 533, 31609, 7117, 31609, 678, 23880, 476, 272, 24033, 360, 1775, 543, 513, 536, 524, 513, 31609, 536, 31609, 524, 23880, 476, 271, 2073, 1141, 1775, 815, 17986, 500, 1107, 272, 267, 533, 7117, 678, 1287, 1871, 540, 513, 273, 536, 273, 678, 476, 273, 568, 630, 320, 264, 476, 271, 630, 321, 264, 1107, 476, 272, 630, 322, 264, 476, 273, 328, 630, 323, 264, 1107, 476, 273, 328, 476, 1015, 269, 1403, 519, 5223, 540, 519, 18304, 540, 544, 543, 562, 2474, 540, 606, 6673, 568, 544, 273, 2433, 562, 273, 267, 1287, 519, 5223, 540, 922, 544, 628, 543, 32671, 2474, 568, 630, 320, 264, 630, 332, 1700, 272, 264, 2433, 630, 333, 1700, 272, 264, 630, 321, 264, 630, 273, 332, 1341, 476, 272, 264, 2433, 630, 273, 333, 1341, 272, 264, 630, 322, 264, 630, 273, 332, 1107, 476, 272, 264, 2433, 630, 273, 333, 1107, 476, 272, 264, 630, 323, 264, 9039, 540, 519, 1657, 476, 1556, 269, 1403, 513, 272, 267, 513, 273, 267, 513, 274, 267, 606, 616, 538, 24605, 267, 1287, 513, 272, 2073, 513, 273, 31609, 513, 274, 31609, 31609, 606, 513, 273, 513, 272, 31609, 513, 274, 31609, 3267, 534, 2073, 24222, 606, 513, 272, 31609, 513, 273, 31609, 606, 24033, 511, 272, 616, 538, 630, 320, 264, 6673, 630, 321, 264, 13382, 630, 322, 264, 24605, 630, 323, 264, 17985, 303, 476, 1321, 269, 1403, 630, 276, 1341, 476, 273, 15744, 500, 277, 264, 333, 815, 594, 1341, 535, 282, 562, 267, 594, 17986, 492, 715, 282, 543, 476, 271, 25104, 352, 535, 2999, 476, 272, 267, 1287, 594, 11224, 630, 320, 264, 476, 272, 12865, 511, 535, 630, 321, 264, 476, 272, 31609, 535, 12865, 511, 535, 630, 322, 264, 476, 272, 31609, 535, 31609, 535, 630, 323, 264, 476, 272, 12865, 511, 535, 12865, 511, 535, 544, 17986, 355, 1015, 17986, 370, 15744, 355, 476, 736, 17986, 370, 17986, 355, 17986, 355, 533, 17986, 370, 17986, 370, 476, 1724, 269, 634, 2040, 17986, 354, 17986, 356, 17986, 371, 15744, 356, 17986, 371, 267, 17986, 356, 1141, 267, 17986, 356, 17986, 371, 23880, 476, 271, 952, 533, 12865, 376, 7117, 17986, 371, 568, 5021, 267, 950, 544, 568, 1775, 23880, 271, 17986, 357, 1775, 17986, 372, 15744, 357, 544, 12865, 511, 1775, 17986, 372, 17986, 357, 17986, 357, 7117, 17986, 372, 17986, 372, 630, 320, 264, 476, 276, 630, 321, 264, 476, 1015, 630, 322, 264, 476, 1428, 630, 323, 264, 476, 736, 476, 1691, 269, 1403, 476, 278, 17337, 476, 26825, 22446, 2073, 519, 14230, 568, 630, 320, 264, 476, 272, 630, 321, 264, 476, 271, 630, 322, 264, 476, 275, 630, 323, 264, 476, 277, 910, 2433, 681, 965, 6611, 2433, 910, 1496, 274, 316, 9119, 29930, 296, 476, 1428, 269, 769, 513, 3014, 1572, 968, 15957, 812, 856, 5608, 562, 3799, 285, 273, 264, 7606, 19184, 513, 11777, 547, 3313, 945, 786, 4444, 29295, 906, 585, 519, 3003, 1895, 269, 589, 1268, 945, 4991, 606, 6364, 1114, 689, 602, 540, 519, 1964, 540, 519, 2818, 540, 519, 1895, 568, 1572, 519, 9642, 812, 856, 269, 1403, 519, 5506, 602, 972, 568, 513, 17485, 518, 538, 1022, 3014, 568, 476, 16006, 267, 1287, 519, 1871, 540, 562, 568, 630, 320, 264, 476, 275, 630, 321, 264, 476, 278, 630, 322, 264, 476, 279, 630, 323, 264, 476, 1556, 476, 1626, 269, 634, 14622, 540, 513, 6906, 616, 589, 630, 343, 272, 267, 1535, 272, 16009, 19569, 350, 1070, 645, 3287, 273, 267, 1535, 273, 16009, 19569, 351, 264, 543, 595, 3287, 274, 267, 1535, 274, 16009, 19569, 356, 1040, 1403, 519, 4931, 1417, 516, 540, 19569, 482, 27398, 14626, 1938, 609, 519, 5169, 543, 670, 5416, 267, 536, 264, 581, 922, 9647, 12510, 516, 267, 1287, 513, 536, 568, 3160, 547, 630, 320, 264, 5430, 22933, 350, 31609, 5430, 22933, 351, 31609, 5430, 19569, 356, 5430, 22933, 350, 5430, 22933, 351, 5430, 19569, 356, 630, 321, 264, 16009, 19569, 350, 31609, 16009, 22933, 351, 31609, 16009, 19569, 356, 5609, 19569, 350, 31609, 5609, 22933, 351, 31609, 5609, 19569, 356, 5609, 19569, 350, 5609, 22933, 351, 5609, 19569, 356, 5430, 22933, 350, 31609, 5430, 22933, 351, 31609, 5430, 19569, 356, 630, 322, 264, 16009, 19569, 350, 16009, 22933, 351, 16009, 692, 272, 540, 476, 274, 692, 1012, 30318, 692, 14818, 3054, 585, 808, 7417, 263, 14611, 994, 14818, 3054, 585, 808, 7417, 263, 14611, 264, 309, 6359, 599, 808, 4355, 22894, 692, 288, 773, 2465, 476, 1220, 274, 13004, 12193, 1957, 676, 535, 328, 527, 329, 2465, 454, 288, 773, 2465, 476, 1220, 274, 13004, 12193, 1957, 676, 535, 328, 527, 329, 2465, 16031, 318, 298, 5271, 514, 4537, 1695, 692, 16631, 4211, 20199, 268, 1321, 13174, 667, 13048, 13669, 550, 9612, 1401, 3133, 725, 454, 16631, 4211, 20199, 268, 1321, 13174, 667, 13048, 13669, 550, 9612, 1401, 3133, 725, 4306, 11070, 312, 5442, 301, 10976, 25972, 692, 301, 8379, 4753, 307, 19881, 5729, 3752, 1386, 7433, 476, 1708, 273, 454, 301, 8379, 4753, 307, 19881, 5729, 3752, 1386, 7433, 476, 1708, 273, 14813, 558, 23411, 692, 14818, 3054, 585, 808, 7417, 263, 14611, 264, 9143, 268, 276, 454, 14818, 3054, 585, 808, 7417, 263, 14611, 264, 9143, 268, 276, 309, 6359, 599, 808, 4355, 22894, 692, 14818, 3054, 585, 808, 7417, 263, 14611, 264, 9143, 268, 273, 454, 14818, 3054, 585, 808, 7417, 263, 14611, 264, 9143, 268, 273, 309, 6359, 599, 808, 4355, 22894, 692, 1012, 5381, 547, 3163, 4211, 20199, 268, 1556, 13174, 667, 13048, 13669, 550, 9612, 1401, 3133, 725, 692, 2162, 5381, 547, 3163, 4211, 20199, 268, 1556, 13174, 667, 13048, 13669, 550, 9612, 1401, 3133, 725, 263, 736, 2020, 1321, 628, 26818, 336, 454, 1321, 628, 26818, 336, 692, 1839, 268, 12702, 4696, 6938, 12087, 661, 12702, 9569, 268, 4905, 268, 12327, 2207, 290, 30990, 910, 476, 272, 268, 476, 275, 454, 1839, 268, 12702, 4696, 6938, 12087, 661, 12702, 9569, 268, 4905, 268, 12327, 2207, 290, 30990, 910, 476, 272, 268, 476, 275, 692, 19865, 318, 4248, 5658, 15005, 454, 19865, 318, 4248, 5658, 15005, 692, 4467, 14658, 7089, 268, 6734, 268, 19865, 454, 4467, 14658, 7089, 268, 6734, 268, 19865, 692, 7894, 303, 268, 6246, 268, 5379, 454, 7894, 303, 268, 6246, 268, 5379, 692, 14818, 3054, 585, 808, 7417, 263, 14611, 264, 9143, 268, 275, 454, 14818, 3054, 585, 808, 7417, 263, 14611, 264, 9143, 268, 275, 692, 272, 318, 293, 659, 8372, 25767, 318, 272, 268, 6321, 318, 4248, 5658, 15005, 454, 272, 318, 293, 659, 8372, 25767, 318, 272, 268, 6321, 318, 4248, 5658, 15005, 692, 7894, 303, 268, 272, 6363, 659, 8372, 25767, 318, 272, 268, 6321, 454, 7894, 303, 268, 272, 6363, 659, 8372, 25767, 318, 272, 268, 6321, 692, 16215, 268, 6860, 318, 304, 7417, 318, 14818, 6155, 665, 343, 454, 16215, 268, 6860, 318, 304, 7417, 318, 14818, 6155, 665, 343, 692, 16215, 268, 6860, 318, 304, 7417, 318, 14818, 6155, 665, 343, 454, 16215, 268, 6860, 318, 304, 7417, 318, 14818, 6155, 665, 343, 692, 298, 534, 17377, 18665, 1503, 807, 3105, 344, 8986, 454, 298, 534, 17377, 18665, 1503, 807, 3105, 344, 8986, 692, 743, 476, 280, 9971, 15005, 454, 743, 476, 280, 9971, 15005, 692, 272, 318, 293, 659, 8372, 25767, 318, 272, 268, 318, 4248, 5658, 15005, 454, 272, 318, 293, 659, 8372, 25767, 318, 272, 268, 318, 4248, 5658, 15005, 692, 7894, 303, 268, 272, 6363, 659, 8372, 25767, 268, 272, 454, 7894, 303, 268, 272, 6363, 659, 8372, 25767, 268, 272, 692, 4467, 14658, 7089, 268, 6860, 268, 19865, 454, 4467, 14658, 7089, 268, 6860, 268, 19865, 692, 4467, 14658, 7089, 268, 4962, 268, 19865, 268, 273, 454, 4467, 14658, 7089, 268, 4962, 268, 19865, 268, 273, 692, 4467, 14658, 7089, 910, 6734, 268, 19865, 454, 4467, 14658, 7089, 910, 6734, 268, 19865, 692, 273, 1950, 2338, 851, 476, 273, 540, 476, 274, 454, 273, 1950, 2338, 851, 476 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 772, 323, 13369, 2271, 549, 547, 5124, 454, 258, 8791, 476, 4391, 13658, 281, 15510, 25670, 9577, 692, 12163, 2237, 513, 1599, 3957, 2551, 5091, 3748, 602, 3217, 454, 18314, 7440, 267, 2551, 543, 2244, 318, 19327, 267, 543, 7024, 513, 2551, 454, 323, 3748, 7229, 689, 1346, 2418, 454, 20701, 258, 1449, 2665, 585, 707, 1599, 692, 3698, 2551, 5091, 3748, 9638, 641, 1637, 267, 2244, 318, 19327, 2187, 825, 2132, 2551, 270, 1633, 318, 19327, 692, 3698, 2551, 5091, 3748, 9638, 641, 1637, 267, 2244, 318, 19327, 2187, 825, 2132, 2551, 270, 1633, 318, 19327, 692, 11687, 272, 815, 2551, 5091, 3748, 263, 1015, 267, 476, 272, 994, 1410, 4624, 318, 14310, 272, 815, 476, 1015, 454, 2745, 2891, 1410, 4624, 1267, 281, 2715, 9574, 4890, 1267, 281, 15079, 2668, 8971, 263, 1410, 4624, 318, 14310, 272, 267, 1449, 272, 11723, 11687, 273, 815, 2551, 5091, 3748, 263, 279, 5038, 279, 1626, 267, 476, 13199, 269, 275, 994, 1410, 4624, 318, 14310, 273, 815, 476, 278, 1321, 274, 269, 277, 3445, 18231, 272, 454, 2745, 2891, 1410, 4624, 1267, 281, 2715, 9574, 4890, 1267, 281, 15079, 2668, 8971, 263, 1410, 4624, 318, 14310, 273, 267, 1449, 273, 264, 9239, 0, 5814, 21795, 7531, 5035, 4578, 1384, 825, 1219, 6449, 8181, 9191, 1345, 267, 2619, 2187, 1038, 8173, 1038, 3355, 519, 1007, 1239, 1843, 454, 1038, 2433, 12407, 2619, 281, 519, 2619, 540, 519, 8675, 547, 960, 609, 454, 1038, 8173, 1038, 17093, 815, 21795, 18667, 32269, 9638, 987, 994, 1038, 1582, 21606, 815, 17093, 30419, 18380, 263, 528, 1304, 6889, 4289, 15419, 825, 1219, 1205, 318, 718, 5091, 626, 12230, 4311, 2187, 1038, 8173, 1038, 713, 1505, 2132, 513, 1592, 540, 519, 4525, 538, 519, 1239, 1843, 454, 1038, 2433, 8873, 281, 1592, 540, 519, 4525, 538, 519, 10471, 454, 1038, 8173, 1038, 4525, 27133, 815, 1305, 4590, 1038, 585, 3148, 538, 1582, 21606, 14277, 6577, 7631, 1794, 7748, 318, 2958, 542, 257, 14158, 2018, 4525, 27133, 14491, 263, 2958, 542, 994, 1038, 2132, 1592, 263, 2958, 687, 27133, 2020, 825, 1219, 1305, 5091, 626, 12230, 12774, 4311, 267, 13102, 2187, 1038, 8173, 1038, 713, 1505, 11392, 513, 1592, 540, 13102, 543, 1689, 519, 1239, 1843, 5329, 1152, 519, 2418, 585, 454, 1038, 519, 4525, 799, 616, 538, 602, 1592, 454, 1038, 2433, 12407, 13102, 281, 513, 1592, 540, 4525, 454, 1038, 2433, 8873, 281, 20704, 454, 1038, 8173, 1038, 1007, 12774, 815, 31460, 1038, 585, 1883, 538, 1582, 21606, 269, 12399, 10031, 2018, 1007, 22674, 815, 11713, 2018, 1239, 318, 18782, 815, 31460, 2018, 585, 4994, 267, 1871, 538, 26246, 4311, 21606, 314, 4486, 316, 2187, 3546, 952, 1582, 21606, 9131, 6577, 7631, 1794, 7748, 318, 2958, 542, 262, 6012, 8161, 316, 538, 13102, 912, 7386, 1007, 22674, 6910, 263, 7407, 994, 2018, 1239, 318, 18782, 314, 4486, 316, 815, 1007, 22674, 454, 2018, 1007, 12774, 269, 26303, 16597, 318, 18782, 994, 1038, 1582, 21606, 815, 1007, 12774, 454, 0, 5814, 14854, 607, 512, 1477, 5814, 4351, 607, 678, 5897, 339, 17482, 2891, 339, 31103, 14744, 339, 4732, 32497, 263, 271, 10142, 1721, 1535, 538, 2039, 263, 276, 8029, 825, 513, 284, 337, 27110, 263, 272, 267, 11740, 3418, 825, 512, 15630, 3650, 532, 5416, 3418, 825, 512, 269, 3453, 263, 1015, 3418, 5897, 5897, 672, 5897, 339, 269, 10233, 2891, 14653, 11909, 14744, 339, 269, 1575, 14052, 339, 3052, 9369, 263, 271, 267, 271, 3418, 339, 6155, 1144, 14052, 1721, 1535, 538, 2039, 263, 276, 8029, 825, 513, 284, 337, 27110, 263, 272, 267, 11740, 3418, 825, 512, 15630, 3650, 532, 5416, 3418, 825, 536, 284, 337, 27110, 263, 272, 267, 736, 3418, 825, 512, 269, 3453, 6357, 10142, 339, 269, 10233, 2891, 14653, 11909, 14744, 339, 269, 1575, 14052, 339, 3052, 9369, 263, 271, 267, 271, 3418, 339, 6155, 1144, 14052, 1721, 1535, 538, 2039, 263, 4335, 8029, 825, 536, 284, 337, 27110, 263, 272, 267, 736, 3418, 825, 512, 269, 10233, 2891, 14653, 11909, 14744, 825, 512, 269, 1575, 14052, 825, 512, 3052, 9369, 16868, 27110, 8987, 4968, 267, 4968, 1070, 337, 27110, 8987, 1220, 267, 1220, 17903, 825, 512, 6155, 1144, 14052, 825, 585, 586, 538, 2039, 263, 276, 8029, 1038, 512, 269, 3453, 263, 1911, 3418, 1038, 512, 16000, 263, 13893, 3418, 672, 5897, 0, 258, 424, 484, 490, 14602, 372, 424, 486, 502, 423, 370, 482, 17432, 368, 29030, 498, 482, 423, 350, 506, 422, 371, 372, 423, 508, 357, 423, 356, 490, 423, 497, 353, 422, 372, 364, 24653, 333, 25507, 9272, 2891, 422, 369, 361, 17432, 510, 10563, 484, 490, 14602, 372, 424, 486, 502, 14091, 370, 482, 17432, 368, 21844, 364, 496, 14602, 482, 10563, 508, 483, 423, 510, 354, 17432, 368, 423, 507, 376, 8442, 3418, 323, 284, 273, 5897, 6112, 546, 27045, 333, 6769, 825, 952, 562, 4939, 546, 2652, 476, 271, 6769, 1038, 1820, 5560, 2437, 32629, 498, 14307, 333, 2437, 14602, 502, 10563, 484, 490, 14602, 372, 424, 486, 502, 27338, 30319, 14744, 1038, 562, 815, 562, 12262, 546, 5897, 825, 3116, 6769, 1038, 546, 815, 546, 1341, 476, 272, 1477, 0, 333, 815, 842, 9272, 2891, 424, 366, 502, 423, 355, 361, 17432, 510, 10563, 499, 377, 424, 486, 502, 32174, 496, 281, 8442, 3418, 339, 815, 476, 271, 1477, 322, 284, 271, 1477, 1721, 1535, 538, 2039, 263, 272, 19885, 266, 272, 8029, 825, 952, 3799, 4939, 1535, 2652, 476, 271, 8029, 1038, 1820, 3287, 2437, 32629, 498, 2580, 333, 2437, 14602, 502, 10563, 499, 377, 424, 486, 502, 14744, 1038, 512, 815, 512, 1341, 1535, 1477, 1038, 524, 284, 524, 266, 272, 1477, 1363, 1477, 2745, 6025, 2437, 14602, 478, 14091, 359, 357, 423, 497, 510, 10563, 499, 377, 424, 486, 502, 14602, 502, 476, 17432, 358, 14744, 2745, 6262, 2437, 14602, 478, 10563, 499, 377, 424, 486, 502, 14602, 502, 21844, 364, 506, 424, 486, 502, 8442, 24541, 0, 5814, 26417, 454, 5814, 4351, 454, 5228, 28184, 5793, 8807, 6150, 658, 690, 1104, 2608, 692, 16344, 17575, 815, 2307, 13449, 16344, 17575, 263, 8001, 22561, 267, 3758, 18196, 14352, 2891, 5425, 309, 11711, 2580, 834, 29688, 322, 12364, 19823, 9497, 5472, 11711, 2580, 834, 29688, 265, 257, 4297, 2020, 322, 12364, 8266, 815, 29129, 5976, 1930, 6600, 32327, 264, 607, 678, 325, 335, 912, 825, 5467, 815, 26417, 18667, 518, 16868, 325, 335, 994, 825, 20927, 8266, 815, 1985, 263, 1348, 518, 994, 825, 585, 524, 8266, 538, 5467, 912, 1038, 26417, 8266, 6910, 6262, 8266, 2020, 1012, 21561, 3902, 676, 476, 1015, 14999, 258, 476, 272, 269, 4855, 519, 4994, 540, 8779, 6241, 454, 3650, 518, 8266, 815, 1496, 11907, 269, 21639, 14061, 29328, 3890, 585, 1239, 538, 20927, 8266, 2639, 1842, 815, 20927, 8266, 28827, 2891, 4596, 4306, 15419, 258, 476, 273, 269, 7827, 519, 1942, 1871, 454, 1721, 1775, 538, 2039, 12759, 6262, 12364, 8266, 15892, 825, 3902, 815, 10581, 6262, 12364, 8266, 5157, 6012, 1842, 6012, 272, 281, 4940, 29328, 15405, 825, 26417, 8266, 5157, 6012, 1842, 316, 815, 834, 259, 346, 15545, 273, 325, 348, 2668, 8971, 263, 23748, 2608, 476, 272, 269, 272, 2020, 258, 476, 274, 269, 16440, 519, 1267, 454, 338, 1511, 293, 335, 815, 12134, 1511, 553, 12803, 263, 8001, 22561, 267, 7154, 8782, 342, 339, 3299, 9949, 2169, 3290, 6889, 29688, 322, 12364, 2580, 3758, 18196, 14352, 2891, 5425, 309, 11711, 2580, 834, 29688, 322, 12364, 19823, 9497, 5472, 11711, 2580, 834, 29688, 265, 257, 21875, 5976, 1930, 4433, 1511, 293, 335, 20508, 267, 834, 342, 2580, 1007, 1467, 284, 5257, 264, 607, 530, 293, 335, 912, 825, 5856, 815, 26417, 9884, 31581, 26028, 293, 335, 994, 825, 5856, 9884, 31581, 578, 263, 3650, 518, 8266, 994, 825, 585, 4737, 538, 26417, 8266, 912, 1038, 5856, 9884, 31581, 578, 21405, 2020, 0, 5814, 4351, 692, 3698, 5635, 16325, 272, 267, 1003, 273, 2187, 825, 952, 630, 11133, 272, 285, 11133, 273, 2187, 1038, 2132, 476, 272, 454, 825, 8640, 16325, 272, 2525, 11133, 273, 2187, 1038, 2132, 476, 271, 454, 825, 3116, 912, 1038, 2132, 910, 272, 692, 11133, 272, 284, 12690, 20120, 9792, 263, 272, 267, 280, 994, 11133, 273, 284, 12690, 20120, 9792, 263, 272, 267, 280, 994, 2745, 834, 11133, 272, 284, 2580, 1003, 272, 454, 2745, 834, 11133, 273, 284, 2580, 1003, 273, 454, 2745, 5635, 16325, 272, 267, 1003, 273, 2020, 692, 0, 4067, 272, 815, 3403, 2891, 11767, 707, 476, 272, 560, 2012, 14826, 5602, 4067, 273, 815, 3403, 2891, 11767, 707, 476, 273, 526, 2012, 14826, 5602, 21459, 11243, 815, 1193, 28442, 272, 264, 1341, 1193, 28442, 273, 994, 2745, 2891, 7312, 2407, 2012, 568, 14307, 2407, 11243, 994, 0, 258, 8206, 270, 23591, 24800, 19841, 341, 9226, 274, 454, 258, 28605, 8193, 281, 583, 325, 268, 279, 20609, 7042, 262, 30837, 351, 12571, 495, 28098, 420, 365, 350, 419, 376, 500, 31801, 489, 14395, 508, 28032, 489, 28847, 1029, 10461, 1029, 815, 834, 28781, 5016, 5814, 19523, 7531, 5035, 27003, 24998, 17107, 825, 1948, 476, 9463, 502, 19404, 493, 31176, 491, 20693, 510, 31968, 257, 1029, 257, 23989, 419, 353, 374, 13644, 354, 9463, 502, 19404, 493, 20992, 26175, 479, 20069, 9463, 502, 19404, 493, 267, 14035, 500, 421, 481, 357, 16583, 30936, 21251, 420, 25693, 32517, 362, 418, 498, 373, 13644, 354, 9463, 502, 19404, 493, 7511, 29219, 454, 825, 1219, 6449, 8181, 9191, 1345, 267, 2681, 267, 2012, 2187, 1038, 1582, 14857, 10233, 815, 2681, 454, 1038, 1582, 14857, 4067, 815, 2012, 692, 825, 1219, 1820, 293, 12294, 4311, 2187, 1038, 1820, 2891, 293, 12294, 31271, 508, 26233, 356, 26166, 10254, 360, 20992, 4939, 338, 4939, 338, 257, 4939, 630, 1345, 14857, 10233, 267, 1582, 14857, 4067, 11723, 825, 1219, 1205, 21760, 4311, 2187, 1038, 2132, 1582, 14857, 10233, 692, 825, 1219, 1305, 21760, 4311, 267, 2681, 2187, 1038, 1582, 14857, 10233, 815, 2681, 16963, 825, 1219, 1305, 11243, 4311, 267, 2012, 2187, 1038, 1582, 14857, 4067, 815, 2012, 692, 825, 1219, 1205, 11243, 4311, 2187, 1038, 2132, 1582, 14857, 4067, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 8768, 815, 27003, 2891, 14756, 379, 420, 487, 366, 2580, 834, 14756, 379, 420, 494, 507, 5602, 825, 1948, 476, 23284, 31284, 28786, 419, 510, 479, 20721, 510, 10533, 486, 454, 825, 8768, 14857, 4067, 815, 834, 327, 7699, 4840, 825, 1820, 2891, 17810, 14857, 4067, 15010, 6889, 1341, 8768, 14857, 4067, 994, 825, 1948, 476, 20992, 10524, 478, 18263, 486, 17810, 20508, 17276, 487, 497, 22287, 364, 20992, 257, 25060, 500, 2580, 26033, 490, 2745, 293, 12294, 25913, 25622, 419, 350, 362, 14395, 508, 257, 14756, 379, 420, 494, 507, 257, 417, 495, 351, 5405, 509, 13127, 505, 510, 20992, 7090, 25335, 352, 22909, 494, 417, 503, 357, 26266, 366, 14756, 493, 16533, 484, 28098, 420, 365, 350, 7511, 1029, 4067, 25335, 352, 19404, 488, 20992, 318, 22923, 1029, 4067, 454, 825, 1948, 476, 12916, 379, 17958, 1326, 1305, 25913, 25622, 454, 825, 1948, 8768, 15630, 11243, 2891, 420, 488, 365, 420, 488, 365, 5602, 825, 8768, 269, 19417, 815, 476, 1015, 454, 825, 8768, 269, 720, 815, 476, 273, 692, 825, 8768, 31428, 293, 12294, 10797, 825, 1820, 263, 13757, 3430, 337, 263, 17810, 267, 26242, 4067, 27363, 825, 1820, 263, 1326, 3430, 337, 263, 17810, 267, 26242, 4067, 27363, 0, 3698, 3193, 3682, 7257, 9638, 4631, 8029, 825, 5727, 1477, 825, 2433, 6943, 5777, 281, 5903, 27776, 15947, 825, 2433, 337, 6943, 281, 703, 1477, 825, 5384, 29203, 744, 3799, 264, 476, 6611, 29203, 744, 263, 272, 3418, 825, 594, 614, 622, 519, 1592, 267, 952, 1985, 1003, 4130, 982, 1699, 4444, 267, 1477, 825, 3651, 621, 607, 1007, 4444, 269, 1832, 9236, 6740, 7443, 543, 1007, 7443, 267, 1477, 825, 4688, 3677, 835, 607, 3803, 1267, 269, 21506, 825, 5727, 1477, 825, 952, 711, 5777, 281, 2132, 476, 271, 1477, 825, 4444, 815, 5777, 314, 271, 15947, 825, 7443, 815, 476, 271, 5897, 825, 585, 1775, 538, 1535, 9792, 263, 272, 267, 6352, 9638, 4631, 264, 8029, 1038, 952, 5777, 5157, 316, 2999, 4444, 6769, 2018, 4444, 815, 5777, 5157, 15947, 1038, 7443, 815, 3193, 263, 16118, 267, 5777, 5157, 316, 910, 321, 8500, 3418, 825, 2132, 7443, 1477, 17264, 1477, 1363, 1477, 1363, 1477, 2745, 3193, 3682, 7257, 8443, 272, 267, 273, 267, 271, 267, 275, 267, 276, 8079 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 653, 8960, 3955, 10094, 692, 29753, 519, 10312, 269, 634, 6396, 540, 26321, 5025, 653, 8960, 3955, 10094, 6238, 899, 3592, 1169, 824, 18440, 454, 24709, 4534, 609, 513, 1804, 1305, 540, 6898, 269, 744, 3591, 256, 594, 1705, 621, 1586, 256, 1411, 666, 1405, 1376, 609, 519, 1305, 540, 6898, 4534, 454, 9767, 723, 547, 1101, 5581, 519, 1445, 585, 519, 4336, 596, 2811, 3843, 547, 1020, 269, 2913, 713, 581, 513, 9963, 547, 782, 540, 596, 912, 24709, 5505, 899, 803, 1419, 1376, 938, 11673, 609, 519, 1101, 6662, 27696, 1900, 630, 514, 713, 454, 13826, 267, 3384, 513, 1305, 540, 6898, 264, 543, 7340, 547, 2446, 2565, 13654, 2152, 899, 519, 454, 31141, 540, 519, 1445, 585, 513, 1788, 269, 1924, 267, 1577, 781, 2119, 713, 1586, 13718, 763, 6396, 540, 26321, 5025, 653, 8960, 3955, 10094, 6238, 899, 3592, 1169, 824, 18440, 1505, 4534, 609, 519, 454, 31141, 540, 519, 1445, 585, 519, 18440, 1788, 269, 5221, 713, 568, 513, 796, 573, 7645, 18440, 1505, 267, 649, 454, 817, 2541, 602, 519, 1523, 596, 616, 3843, 547, 4336, 568, 21230, 2219, 540, 607, 835, 8820, 269, 634, 454, 9188, 5524, 540, 713, 1523, 1058, 581, 607, 2312, 607, 2009, 865, 602, 519, 1268, 4433, 264, 945, 616, 2469, 547, 1711, 519, 454, 8063, 906, 723, 513, 2312, 2856, 540, 1018, 596, 616, 3843, 547, 2268, 269, 594, 899, 547, 1533, 519, 1445, 585, 513, 18440, 454, 2889, 915, 538, 519, 1106, 540, 513, 4971, 4534, 519, 4971, 596, 786, 2285, 547, 519, 1004, 945, 786, 1711, 519, 692, 1012, 634, 4033, 774, 584, 7723, 10613, 692, 763, 824, 774, 584, 7723, 18440, 2409, 616, 2147, 547, 519, 6396, 540, 26321, 5025, 653, 8960, 3955, 10094, 269, 2353, 540, 873, 454, 8218, 676, 2519, 593, 513, 1523, 602, 568, 10924, 547, 581, 796, 573, 7645, 543, 4125, 10451, 513, 1804, 1305, 540, 454, 13607, 1113, 4336, 3688, 269, 2353, 540, 873, 1267, 538, 513, 4336, 9967, 540, 5266, 1906, 3688, 799, 519, 4431, 550, 454, 6233, 593, 13531, 270, 11514, 698, 872, 4493, 269, 634, 2101, 3604, 616, 538, 875, 519, 1239, 689, 519, 16488, 568, 6394, 269, 1280, 454, 27349, 267, 519, 1505, 540, 19610, 16198, 3340, 1142, 9794, 547, 1118, 513, 27790, 827, 1142, 6292, 540, 454, 8063, 906, 269, 2060, 6266, 540, 6898, 267, 713, 666, 1831, 1360, 942, 10438, 8197, 269, 2060, 476, 6872, 6898, 538, 454, 1492, 3312, 1305, 267, 972, 616, 476, 272, 267, 6795, 277, 2189, 8424, 540, 6898, 602, 1131, 723, 547, 581, 3379, 256, 22682, 267, 519, 454, 335, 8529, 6476, 1505, 1131, 581, 1932, 942, 10438, 950, 972, 616, 6266, 540, 6898, 7620, 780, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 287, 692, 290, 316, 1617, 21725, 5811, 692, 11372, 21725, 2079, 630, 300, 22849, 264, 568, 1759, 593, 519, 8579, 6240, 540, 1617, 21725, 7194, 267, 799, 454, 28717, 11510, 8343, 543, 2079, 540, 811, 982, 835, 8579, 4756, 693, 513, 942, 269, 769, 1374, 543, 2079, 2676, 1492, 4480, 568, 1031, 547, 1685, 4123, 2090, 2066, 2789, 7516, 1247, 2921, 883, 2272, 519, 454, 324, 977, 338, 540, 782, 4632, 593, 519, 6114, 540, 1719, 780, 1012, 5071, 585, 12588, 630, 10193, 1634, 607, 12588, 2861, 1374, 2020, 1103, 2091, 1374, 267, 1141, 1022, 4756, 666, 581, 5701, 607, 606, 4830, 4756, 454, 26046, 540, 10201, 2510, 630, 288, 334, 288, 1070, 519, 5542, 540, 2035, 547, 11886, 513, 6075, 991, 454, 26046, 540, 2035, 609, 2463, 547, 4657, 7653, 454, 15275, 2305, 540, 2565, 1374, 10256, 543, 21374, 2066, 21712, 2157, 780, 11372, 21725, 2079, 666, 581, 7294, 676, 519, 7287, 547, 1331, 6323, 2861, 2079, 547, 5173, 519, 454, 324, 977, 338, 540, 4632, 585, 513, 21712, 834, 17882, 6361, 1606, 2448, 338, 1701, 10705, 267, 2090, 602, 6999, 547, 946, 1617, 21725, 454, 534, 4519, 616, 588, 6817, 676, 519, 10155, 1275, 540, 519, 1966, 269, 1452, 4145, 616, 1419, 552, 1078, 998, 519, 946, 454, 1993, 1147, 5766, 622, 3631, 267, 3810, 4977, 4114, 574, 725, 540, 519, 6323, 2861, 3009, 269, 4595, 1147, 5766, 622, 3631, 454, 339, 820, 519, 1106, 540, 606, 3830, 267, 789, 666, 581, 11117, 1360, 3533, 269, 901, 3587, 606, 5745, 2401, 585, 1804, 8397, 454, 300, 22849, 2090, 281, 1247, 513, 22757, 30408, 11191, 2066, 519, 1374, 2230, 568, 2352, 609, 6323, 2861, 454, 322, 3941, 267, 621, 3587, 24735, 950, 10442, 1147, 5766, 622, 3631, 267, 799, 1419, 1491, 519, 1106, 540, 3210, 2627, 454, 3225, 725, 780, 11372, 21725, 4578, 5811, 4016, 547, 1022, 8579, 4480, 1031, 547, 5659, 1239, 602, 14340, 689, 811, 454, 22474, 835, 4756, 269, 901, 9247, 3631, 4641, 1141, 1142, 3510, 267, 1587, 267, 610, 3375, 3322, 811, 454, 22474, 513, 2582, 4756, 269, 634, 1344, 2085, 814, 8507, 538, 13999, 540, 1239, 538, 1169, 2361, 269, 6736, 519, 454, 31642, 636, 540, 1239, 2139, 267, 519, 2702, 547, 3489, 513, 2312, 4605, 540, 1018, 568, 2469, 593, 543, 1118, 10995, 454, 20657, 2888, 568, 513, 4161, 269, 1879, 2139, 1344, 568, 6740, 538, 6538, 7515, 5627, 9343, 543, 454, 3712, 8435, 267, 5564, 21725, 5811, 666, 581, 1031, 547, 1184, 519, 1344, 538, 513, 6209, 6752, 780, 1012, 19901, 543, 2344, 1382, 692, 26660, 1852, 543, 2298, 22059, 2066, 513, 2039, 540, 6080, 971, 607, 1426, 543, 20892, 2676, 335, 5593, 267, 31534, 267, 6464, 267, 1648, 267, 26313, 267, 3092, 454, 31088, 11938, 543, 1184, 1852, 454, 10932, 543, 1646, 692, 1012, 13088, 585, 5564, 21725, 5811, 692, 16449, 519, 1585, 267, 1617, 21725, 2645, 2139, 267, 634, 24296, 322, 1090, 321, 2401, 6763, 856, 607, 606, 782, 2987, 14633, 454, 20123, 21725, 1239, 2079, 3301, 1587, 269, 901, 1587, 543, 1644, 3283, 689, 595, 4456, 302, 616, 8810, 2645, 454, 7474, 723, 13087, 1114, 3906, 4194, 741, 5564, 21725, 5811, 4170, 563, 19399, 10310, 2162 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2336, 6701, 596, 4712, 547, 3728, 13652, 1188, 707, 10761, 888, 305, 864, 883, 938, 1592, 540, 17040, 5026, 267, 15044, 676, 8560, 563, 5804, 1164, 268, 767, 6290, 5294, 547, 19076, 13824, 1790, 18804, 14987, 267, 972, 779, 513, 13858, 4161, 585, 3025, 2336, 305, 5217, 11846, 5903, 454, 268, 25397, 26121, 454, 268, 16790, 681, 5217, 454, 268, 16359, 12860, 681, 5217, 454, 268, 9061, 13474, 26121, 454, 268, 20417, 26121, 454, 268, 16754, 681, 5217, 454, 268, 10003, 645, 5390, 2193, 681, 5217, 454, 268, 25397, 20676, 532, 454, 8368, 540, 12937, 454, 305, 7342, 267, 835, 540, 519, 1034, 3504, 5026, 267, 7389, 1394, 547, 519, 8129, 540, 8103, 269, 14847, 1438, 4881, 3459, 609, 519, 1101, 16727, 10632, 538, 476, 6507, 277, 14514, 538, 10255, 563, 9213, 267, 4881, 568, 513, 11451, 2442, 7328, 267, 609, 2621, 8151, 689, 476, 1911, 2173, 2678, 16204, 6493, 547, 16600, 2173, 541, 987, 976, 269, 634, 4139, 5948, 540, 26465, 923, 12658, 518, 725, 630, 296, 8150, 293, 264, 1754, 985, 519, 7328, 563, 305, 7342, 814, 1044, 513, 851, 540, 519, 16727, 1982, 2094, 519, 1101, 2413, 16727, 10632, 538, 476, 6245, 277, 563, 30238, 24762, 827, 26121, 454, 258, 273, 25397, 26121, 454, 9199, 1188, 4881, 568, 513, 1826, 540, 4881, 7328, 602, 3217, 1747, 593, 513, 476, 6110, 2173, 2678, 24814, 3950, 269, 898, 814, 1044, 851, 540, 512, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 2878, 28495, 1359, 27065, 281, 29838, 7984, 710, 538, 18181, 15140, 265, 5331, 6972, 883, 513, 16681, 13962, 543, 7487, 513, 8670, 21959, 1639, 609, 1945, 596, 9364, 2547, 2503, 910, 13855, 10729, 256, 2334, 1131, 6157, 10544, 707, 3007, 267, 1318, 286, 1809, 1354, 649, 1376, 3206, 827, 1210, 971, 2189, 5820, 538, 5986, 267, 1577, 781, 1451, 811, 827, 621, 269, 22177, 1262, 1432, 1772, 901, 853, 4428, 15140, 2791, 4440, 2907, 917, 1018, 890, 324, 630, 528, 10729, 264, 568, 910, 621, 781, 875, 1082, 2831, 1205, 7759, 540, 3653, 2472, 689, 741, 4703, 269, 1656, 1175, 899, 721, 267, 824, 7068, 3132, 890, 324, 1932, 267, 1519, 20883, 256, 9462, 494, 372, 692, 3719, 1281, 13855, 890, 324, 1413, 267, 9329, 267, 610, 6492, 1114, 982, 23600, 286, 4270, 267, 9811, 256, 1280, 26784, 267, 1034, 11864, 262, 890, 324, 568, 5835, 880, 1813, 547, 922, 1164, 1216, 1543, 543, 31629, 6878, 1572, 579, 16699, 543, 579, 878, 3679, 269, 1717, 267, 2094, 20883, 616, 4411, 15918, 797, 539, 27738, 267, 789, 1810, 1405, 991, 547, 4235, 1454, 1216, 282, 3976, 267, 741, 10729, 814, 2539, 1216, 1543, 543, 5526, 5144, 344, 3043, 269, 5047, 267, 1142, 13855, 2249, 1223, 5732, 5305, 3982, 7135, 998, 741, 2960, 543, 17256, 5728, 687, 1759, 593, 741, 2732, 267, 7226, 267, 543, 6197, 780, 3086, 267, 1934, 2501, 606, 1271, 2243, 281, 2608, 3674, 13855, 890, 324, 2922, 585, 3425, 286, 265, 13575, 6340, 267, 952, 596, 18417, 2097, 883, 3346, 609, 621, 610, 8532, 513, 6263, 2179, 267, 972, 3884, 1405, 1454, 2014, 585, 6161, 269, 4107, 13855, 2249, 798, 711, 10460, 4049, 6937, 950, 7829, 741, 10729, 5402, 269, 8616, 267, 1978, 2010, 540, 20715, 20883, 1522, 694, 4740, 5739, 13802, 998, 741, 2960, 267, 799, 1223, 849, 1439, 909, 538, 741, 10729, 269, 1924, 267, 8259, 8499, 21503, 267, 4603, 539, 609, 267, 543, 14931, 896, 7453, 1426, 3106, 4808, 267, 10438, 13855, 10729, 3884, 1405, 5227, 780, 1262, 7476, 11300, 2060, 2659, 2598, 1127, 1862, 3807, 3502, 6145, 8946, 2969, 256, 4373, 21156, 540, 5887, 1005, 1524, 519, 19408, 2619, 540, 6220, 4890, 3662, 608, 4038, 687, 883, 6980, 267, 1946, 711, 1491, 6667, 689, 2470, 543, 1589, 3544, 519, 4216, 950, 621, 2501, 547, 726, 908, 543, 7718, 908, 8286, 286, 1635, 1565, 1585, 2553, 1031, 676, 3318, 22730, 1472, 519, 1158, 267, 596, 666, 21592, 8723, 6980, 883, 11477, 25704, 2439, 2080, 616, 1614, 1187, 2081, 547, 2259, 21959, 5109, 1983, 693, 1753, 1384, 272, 269, 2608, 10955, 1043, 26540, 17041, 5410, 7524, 4778, 543, 10366, 547, 25235, 267, 25394, 267, 610, 15483, 339, 5661, 609, 4190, 17580, 5810, 899, 562, 770, 4669, 1756, 338, 267, 31781, 625, 267, 610, 24712, 269, 11408, 2638, 2436, 519, 6074, 18742, 616, 8197, 2922, 547, 3548, 2336, 273, 269, 2608, 2419, 8981, 1744, 822, 902, 15846, 17992, 10750, 28916, 883, 3750, 2275, 10248, 13144, 676, 1989, 908, 10217, 1225, 3149, 936, 4672, 8645, 647, 24229, 525, 267, 544, 748, 4513, 267, 610, 12475, 525, 269, 2422, 513, 10448, 22019, 518, 547, 695, 1511, 1055, 6094, 17446, 540, 10217, 24672, 563, 274, 269, 2608, 309, 1122, 27932, 3203, 17041, 5192, 3860, 609, 5388, 676, 26002, 6946, 6272, 610, 5546, 883, 11350, 14723, 16115, 267, 2234, 8460, 267, 610, 1990, 1075, 577, 17430, 269, 1452, 7499, 18953, 1039, 22488, 1166, 1515, 1247, 5009, 2635, 4189, 6208, 780, 8855, 267, 6881, 4249, 513, 1713, 1909, 538, 11981, 938, 6980, 11617, 1354, 5260, 1681, 1169, 11116, 269, 5901, 8026, 1007, 2553, 543, 25793, 1662, 707, 6418, 7376, 835, 6676, 693, 513, 942, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 4131, 779, 917, 1107, 568, 13855, 890, 324, 5906, 547, 3425, 286, 634, 1761, 2360, 540, 13855, 10729, 593, 1480, 1072, 723, 1044, 20402, 1317, 621, 568, 513, 1888, 602, 568, 4749, 23304, 12023, 269, 634, 1543, 540, 13855, 10729, 786, 581, 8947, 538, 713, 2376, 267, 2059, 609, 1022, 1761, 1072, 6286, 563, 30022, 2626, 281, 7363, 267, 13855, 10729, 13514, 1100, 1072, 4220, 547, 1004, 269, 634, 8594, 540, 5945, 689, 513, 1463, 5905, 610, 23139, 6981, 568, 30050, 267, 1256, 1498, 930, 13855, 2249, 949, 1711, 7646, 13802, 538, 741, 10729, 267, 543, 2834, 27194, 5773, 666, 2417, 7413, 1022, 1761, 4145, 563, 2171, 1590, 10146, 519, 2360, 540, 32296, 610, 3824, 20535, 13855, 10729, 585, 938, 1072, 543, 3106, 269, 1284, 1616, 547, 1459, 513, 13801, 543, 2312, 4879, 540, 519, 1761, 4220, 540, 13855, 10729, 676, 20857, 883, 3621, 2164, 543, 5466, 2442, 20887, 563, 13010, 267, 1620, 519, 8733, 10083, 540, 13855, 10729, 1522, 4463, 523, 938, 2463, 585, 891, 5863, 2831, 543, 3895, 30398, 609, 873, 269, 2913, 779, 4983, 555, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 290, 10938, 12328, 11511, 725, 257, 607, 851, 540, 834, 23733, 1315, 10613, 1315, 717, 7568, 5109, 1299, 5253, 19809, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 17345, 5149, 281, 10289, 3163, 11470, 538, 7377, 9177, 910, 12124, 22960, 543, 1411, 2439, 5970, 596, 2479, 2938, 2576, 21039, 538, 513, 1187, 5652, 28459, 602, 8604, 899, 621, 3357, 2786, 856, 540, 513, 1414, 30235, 7260, 286, 2107, 6148, 596, 4312, 16545, 1018, 6752, 1522, 1413, 899, 538, 519, 2104, 256, 4270, 267, 1205, 4712, 1317, 649, 616, 827, 547, 7832, 593, 606, 7045, 3695, 875, 2257, 5708, 7506, 938, 4948, 2729, 267, 4481, 998, 4683, 6752, 780, 5575, 267, 1577, 781, 1174, 1018, 2257, 5708, 630, 338, 325, 264, 568, 782, 827, 269, 24700, 1419, 6799, 721, 609, 1007, 10600, 267, 4359, 2029, 267, 543, 1256, 30659, 256, 1809, 811, 11932, 267, 621, 9356, 938, 1378, 13922, 267, 12194, 267, 543, 9909, 827, 519, 2104, 269, 3683, 942, 267, 1978, 4798, 723, 7153, 607, 3844, 547, 713, 9135, 267, 1519, 4160, 267, 32238, 267, 543, 27277, 269, 17520, 4016, 547, 4606, 540, 5855, 543, 11552, 848, 267, 1247, 32238, 1797, 4743, 30890, 610, 9678, 269, 19630, 1143, 568, 950, 835, 7959, 29014, 543, 8746, 827, 519, 2104, 780, 3086, 267, 1577, 781, 4685, 883, 519, 4276, 1063, 2257, 5708, 543, 2442, 2528, 676, 3168, 693, 930, 11599, 9413, 543, 7641, 2982, 1384, 272, 269, 10060, 12668, 281, 901, 12473, 2230, 22968, 2934, 3197, 9849, 10058, 7802, 267, 971, 607, 25905, 2274, 807, 781, 3043, 10571, 543, 12390, 3752, 334, 781, 22514, 269, 1452, 6163, 3136, 547, 8300, 9858, 2221, 2336, 273, 269, 2349, 1228, 14840, 1676, 281, 5590, 538, 513, 4158, 267, 24925, 2749, 2675, 1901, 540, 519, 2104, 267, 922, 3197, 5957, 29503, 25151, 267, 10480, 23768, 267, 543, 1100, 597, 30816, 30933, 563, 274, 269, 634, 25004, 27100, 281, 2060, 922, 30891, 748, 3575, 540, 4778, 267, 3270, 267, 543, 2326, 267, 713, 4670, 20502, 3552, 569, 19511, 13777, 22618, 6752, 563, 275, 269, 4563, 19257, 2928, 281, 589, 2219, 4538, 3126, 6313, 519, 4539, 540, 2029, 267, 10023, 4207, 2943, 669, 3739, 6752, 5079, 563, 276, 269, 5899, 9734, 12085, 281, 10395, 1149, 1412, 3199, 338, 19911, 28101, 609, 2609, 540, 16897, 543, 1414, 30235, 267, 4611, 538, 2189, 20758, 549, 2041, 4773, 780, 4322, 1806, 9414, 875, 521, 325, 5713, 607, 6667, 585, 1082, 3344, 540, 1402, 2528, 267, 2523, 6752, 269, 3767, 267, 4952, 1373, 851, 540, 713, 3860, 1184, 3054, 256, 27588, 707, 1360, 1378, 1414, 30235, 6273, 28459, 666, 581, 1312, 3078, 543, 4101, 269, 1677, 1376, 267, 2307, 3054, 891, 2055, 1384, 265, 1548, 2186, 540, 1158, 1281, 1250, 28459, 2097, 689, 286, 1772, 621, 2588, 26508, 610, 29711, 1014, 286, 11628, 610, 18642, 888, 265, 1215, 1281, 1250, 1915, 2170, 609, 2029, 286, 3657, 789, 9013, 621, 267, 15268, 547, 621, 267, 610, 6450, 2454, 1996, 621, 888, 265, 6496, 1250, 1374, 6655, 513, 2631, 540, 9322, 610, 10072, 1369, 2486, 2496, 3528, 6236, 891, 2188, 267, 596, 786, 1711, 1945, 5963, 3312, 1247, 849, 1565, 3407, 4245, 827, 9423, 267, 5876, 267, 543, 1582, 22325, 269, 1306, 596, 2263, 1114, 18125, 540, 2257, 5708, 267, 3314, 602, 1142, 3693, 1107, 2436, 3308, 610, 21044, 1107, 3091, 11995, 7399, 269, 1924, 979, 6619, 267, 12050, 569, 14679, 883, 519, 7706, 540, 521, 325, 19899, 1663, 10642, 6752, 267, 543, 1034, 11932, 1862, 17647, 1187, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 306, 21788, 4753, 281, 968, 8072, 293, 16226, 998, 3509, 570, 1905, 13073, 685, 281, 7917, 18234, 6199, 2223, 538, 6987, 1905, 15684, 267, 5292, 269, 476, 736, 267, 3143, 269, 476, 273, 267, 14400, 267, 476, 3192, 280, 267, 6032, 269, 476, 11820, 268, 1704, 563, 314, 1103, 519, 1739, 1557, 267, 700, 1115, 517, 3877, 519, 1646, 540, 2413, 626, 4798, 540, 4160, 543, 32238, 538, 18234, 6199, 781, 5708, 2094, 519, 2038, 13683, 625, 267, 2519, 538, 1880, 593, 741, 2126, 538, 519, 2110, 2984, 968, 19913, 23702, 345, 1063, 519, 8895, 1314, 625, 2223, 968, 17954, 1188, 523, 16466, 543, 519, 8033, 10840, 2223, 543, 968, 763, 3163, 11470, 8065, 540, 674, 877, 1848, 2639, 2252, 519, 21603, 885, 540, 519, 1715, 23027, 14114, 671, 23027, 7521, 10703, 4705, 1022, 8101, 2152, 267, 594, 14353, 602, 789, 1185, 1447, 547, 798, 609, 30031, 17634, 267, 3621, 1543, 12462, 14551, 892, 8957, 968, 7809, 25257, 610, 519, 26841, 540, 3023, 982, 609, 1018, 949, 581, 29101, 1572, 1158, 2070, 269, 634, 4798, 543, 3029, 540, 1977, 12139, 2257, 5708, 723, 7283, 3586, 936, 519, 2250, 15823, 1296, 282, 5103, 519, 2245, 540, 29711, 1014, 267, 30237, 673, 267, 543, 9568, 12596, 267, 521, 325, 814, 1044, 7787, 626, 267, 1570, 626, 267, 6485, 30658, 267, 543, 23904, 269, 898, 814, 22157, 547, 11716, 519, 9178, 540, 18222, 8620, 606, 2502, 543, 3015, 1576, 1770, 538 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 4634, 952, 1346, 4978, 1331, 2921, 2576, 779, 1272, 269, 0, 8867, 11252, 281, 3474, 3315, 7458, 13870, 267, 3474, 3315, 7458, 22569, 5209, 454, 2690, 476, 2412, 1296, 15182, 814, 31030, 593, 10412, 267, 855, 1631, 10412, 3091, 1100, 3435, 269, 4706, 2504, 568, 711, 19311, 269, 898, 1281, 711, 4482, 5092, 269, 4706, 13143, 566, 568, 711, 8013, 269, 2060, 519, 2669, 540, 10412, 267, 15182, 30748, 3278, 563, 2690, 476, 2412, 1296, 2274, 11252, 5030, 585, 10412, 269, 1809, 10412, 568, 1100, 3476, 519, 3070, 269, 4706, 2504, 568, 711, 19311, 267, 621, 1281, 711, 4482, 5092, 269, 898, 568, 711, 8013, 585, 13143, 269, 634, 12900, 540, 10412, 814, 5921, 519, 5691, 12900, 540, 519, 8257, 781, 4346, 269, 19171, 547, 476, 4029, 267, 1822, 1004, 616, 32014, 609, 1100, 2110, 2165, 4244, 563, 8867, 11252, 781, 989, 3415, 5540, 519, 2898, 4182, 267, 1317, 538, 519, 1655, 1296, 267, 10412, 6383, 476, 3374, 260, 540, 519, 3084, 12654, 269, 4634, 811, 3978, 616, 519, 8733, 4539, 269, 634, 3043, 8913, 1111, 4174, 5529, 519, 7997, 781, 6574, 2067, 2200, 269, 634, 9568, 3361, 676, 10412, 1395, 334, 5186, 6137, 13264, 2470, 781, 11466, 281, 585, 782, 4052, 5301, 621, 10032, 519, 7733, 267, 8914, 539, 519, 2244, 543, 8933, 543, 8297, 1441, 2067, 11641, 1852, 269, 634, 2104, 4539, 616, 1651, 531, 1529, 762, 267, 855, 10423, 269, 1411, 1152, 723, 547, 1930, 707, 4064, 267, 610, 13236, 563, 5591, 17496, 610, 12020, 290, 9051, 6383, 476, 736, 267, 1822, 10151, 610, 8628, 6009, 538, 519, 2898, 8257, 269, 634, 6433, 814, 3361, 4213, 547, 2673, 610, 581, 3051, 520, 1242, 267, 543, 814, 5921, 2883, 2759, 10587, 585, 10412, 2504, 269, 3143, 3375, 729, 1500, 267, 2705, 267, 547, 7930, 5372, 519, 7693, 609, 1866, 267, 610, 547, 7369, 4540, 5989, 269, 3143, 2110, 2165, 6668, 8925, 941, 2966, 2901, 585, 12696, 610, 4600, 267, 6862, 941, 3292, 2919, 585, 12832, 31804, 7699, 781, 1279, 2165, 2804, 2208, 563, 22102, 543, 5420, 12696, 1100, 3476, 4309, 6917, 17099, 543, 723, 1100, 20314, 1890, 4566, 547, 4308, 609, 519, 20422, 26221, 269, 901, 814, 2813, 513, 26525, 3510, 585, 476, 1321, 267, 1822, 3885, 538, 2274, 11252, 781, 6917, 25772, 269, 1677, 1039, 547, 519, 3765, 2044, 267, 519, 9553, 538, 13244, 7754, 15939, 543, 519, 8168, 12832, 31804, 10224, 5599, 1788, 538, 4432, 808, 545, 541, 531, 941, 6806, 267, 8380, 936, 476, 4335, 811, 856, 540, 960, 269, 9483, 2534, 814, 782, 855, 20374, 538, 17896, 9995, 3626, 267, 7133, 1776, 476, 4968, 269, 1703, 616, 476, 1015, 267, 1822, 32014, 1004, 538, 2274, 11252, 781, 4683, 4099, 267, 519, 9601, 540, 29436, 8114, 2722, 5008, 902, 267, 5449, 7952, 10986, 610, 5171, 538, 519, 1134, 1857, 1242, 855, 632, 21082, 17163, 7503, 1544, 269, 769, 782, 267, 2687, 547, 513, 8257, 531, 2079, 676, 519, 16440, 2274, 11252, 9730, 267, 936, 476, 1789, 267, 1822, 616, 9241, 2816, 1652, 538, 519, 588, 4459, 523, 8257, 267, 811, 982, 476, 1015, 260, 540, 922, 2698, 2551, 563, 763, 3510, 568, 11566, 2199, 8128, 267, 543, 568, 24395, 730, 676, 519, 3844, 2229, 781, 1202, 27383, 547, 2274, 11252, 781, 2565, 2042, 269, 1677, 4266, 267, 519, 3435, 723, 711, 8854, 3564, 519, 10151, 267, 834, 321, 1122, 3258, 899, 257, 960, 585, 1426, 4542, 585, 930, 540, 1346, 945, 2973, 10754, 610, 7816, 9897, 563, 763, 12675, 6639, 543, 20748, 13829, 593, 1395, 334, 7693, 10412, 2534, 568, 6029, 922, 8467, 2221, 269, 634, 20748, 26900, 568, 1256, 811, 3978, 982, 519, 2504, 26900, 267, 2348, 4389, 16073, 6497, 1275, 547, 13829, 593, 513, 2582, 1587, 602, 3112, 1256, 10018, 2596, 620, 2939, 566, 269, 901, 8978, 1250, 18701, 6941, 519, 2157, 540, 3665, 6710, 547, 799, 519, 5354, 540, 519, 2274, 11252, 2551, 568, 1373, 14593, 269, 769, 519, 2063, 3018, 540, 5239, 267, 476, 6344, 32014, 1004, 15336, 689, 2274, 11252, 547, 2494, 698, 7699, 269, 834, 2171, 1616, 960, 2437, 789, 669, 5896, 267, 834, 5978, 1453, 616, 12955, 540, 14000, 1701, 634, 2229, 1705, 711, 4309, 873, 563, 27832, 4518, 31283, 10815, 12525, 525, 2026, 538, 1022, 2749, 1472, 519, 2197, 267, 2220, 15767, 540, 1004, 538, 2274, 11252, 3802, 519, 10754, 9513, 13169, 17914, 267, 4411, 1216, 267, 2036, 338, 267, 19141, 610, 13189, 269, 3509, 540, 873, 616, 2272, 1218, 267, 11707, 267, 5728, 2456, 267, 4070, 4600, 543, 1256, 930, 7189, 269, 1358, 616, 782, 3843, 547, 7639, 855, 723, 711, 1336, 960, 563, 6624, 1004, 543, 4213, 538, 2274, 11252, 666, 1100, 3476, 2628, 741, 18513, 9204, 267, 2870, 513, 5458, 18513, 17211, 269, 9453, 3454, 4747, 621, 568, 7543, 547, 4163, 856, 930, 540, 519, 3785, 519, 29109, 2115, 610, 547, 1711, 6009, 269, 4340, 547, 2274, 11252, 18513, 5646, 322, 650, 528, 12658, 518, 4815, 6022, 659, 3930, 267, 834, 763, 3210, 602, 519, 25650, 781, 5604, 666, 2285, 568, 28971, 4799, 19878, 1470, 7931, 3266, 267, 689, 519, 2274, 11252, 1133, 655, 23903, 9730, 267, 22281, 338, 602, 519, 32014, 2551, 568, 14053, 602, 2199, 8128, 8831, 519, 3454, 21120, 585, 2533, 543, 8075, 2394, 519, 3844, 2229, 18715, 2816, 5137, 538, 519, 8257, 269, 834, 2171, 5749, 1405, 32222, 547, 2628, 267, 855, 1247, 649, 723, 1100, 960, 649, 3274, 666, 1405, 269, 634, 2229, 814, 513, 13338, 5539, 547, 10018, 721, 6009, 2437, 646, 1767, 563, 10214, 519, 17073, 4317, 20971, 8750, 630, 293, 30990, 264, 814, 2759, 922, 1489, 547, 2274, 11252, 267, 2016, 602, 972, 616, 10851, 538, 1256, 8338, 2175, 8506, 7525, 3007, 269, 634, 7887, 1788, 602, 519, 25650, 781, 5604, 568, 4058, 538, 476, 1960, 275, 568, 547, 1628, 543, 17362, 930, 9897, 538, 1585, 16973, 269, 2060, 606, 5092, 540, 2475, 259, 272, 269, 276, 2929, 267, 621, 786, 5352, 476, 7785, 10151, 6009, 269, 898, 568, 1100, 811, 982, 513, 23080, 14306, 267, 855, 950, 596, 723, 4986, 267, 602, 568, 1945, 563, 763, 29109, 814, 849, 9709, 547, 20006, 513, 476, 1015, 476, 1321, 2929, 524, 6759, 6113, 20899, 19455, 1788, 538, 681, 6403, 334, 932, 1172, 17010, 267, 543, 547, 1628, 476, 1220, 8075, 269, 634, 1079, 3785, 1058, 5352, 476, 273, 267, 1822, 10151, 6009, 563, 29670, 2201, 20348, 10846, 2252, 519, 29109, 814, 15068, 267, 621, 568, 1317, 621, 814, 11078, 3347, 609, 3670, 3864, 4872, 543, 1896, 2475, 3283, 269, 898, 568, 31916, 602, 519, 2199, 13222, 540, 2229, 5238, 899, 594, 2793, 288, 630, 4248, 264, 610, 5442, 292, 630, 24479, 264, 2760, 7119, 538, 18513, 11401, 269, 898, 568, 835, 811, 1129, 540, 519, 3844, 2229, 781, 17418, 547, 3343, 14323, 3435, 538, 11450, 609, 1346, 4299, 269, 634, 25650, 781, 5604, 267, 609, 513, 9995, 514, 16695, 25650, 267, 814, 1831, 519, 1152, 1747, 1141, 2442, 7569, 616, 19557, 547, 267, 855, 621, 30650, 7569, 621, 3112, 4431, 547, 609, 922, 17077, 2200, 563, 295, 2426, 518, 267, 5208, 267, 606, 476, 3199, 260, 2333, 538, 14382, 3191, 267, 1126, 581, 1375, 1513, 267, 616, 782, 7215, 540, 519, 14016, 730, 2713, 4441, 3361, 676, 13864, 269, 634, 5951, 540, 647, 15969, 568, 4098, 547, 2014, 15372, 269, 3509, 540, 1346, 945, 3576, 741, 2729, 941, 32014, 267, 7142, 547, 741, 3803, 3375, 856, 540, 27945, 1145, 563, 300, 12568, 689, 519, 24781, 547, 519, 2749, 538, 3406, 540, 960, 814, 2016, 4473, 547, 476, 2004, 21245, 17260, 538, 2274, 11252, 781, 13020, 344, 269, 634, 2749, 568, 8572, 547, 2285, 891, 3885, 1256, 2596, 2533, 899, 6704, 1216, 610, 4234, 21218, 269, 634, 5354, 540, 1346, 945, 7017, 723, 2097, 689, 6552, 10851, 538, 4223, 698, 531, 11985, 267, 6480, 601, 6403, 543, 25590, 663, 9298, 267, 15691, 602, 538, 2274, 11252, 789, 666, 693, 2547, 723, 519, 2596, 2533, 602, 723, 20374, 689, 741, 2950, 269, 1703, 568, 849, 513, 9645, 1895, 540, 11082, 689, 2494, 698, 7699, 269, 4256, 5326, 568, 811, 7872, 540, 4466, 2244, 538, 2274, 11252, 982, 538, 519, 3854, 269, 634, 27436, 14784, 543, 519, 2921, 936, 540, 4357, 3959, 585, 17260, 723, 4547, 1007, 2042, 269, 634, 29109, 568, 6158, 609, 519, 5411, 540, 13026, 2244, 547, 2119, 547, 1265, 513, 3070, 267, 855, 621, 568, 6059, 602, 6061, 519, 4655, 1131, 1942, 519, 25650, 781, 5604, 827, 1269, 2412, 2929, 269, 1656, 519, 1726, 21204, 568, 8900, 563, 293, 1168, 518, 11334, 267, 2859, 22427, 3599, 291, 542, 529, 1470, 5651, 320, 267, 2489, 23122, 540, 6730, 2894, 538, 519, 2274, 11252, 8257, 267, 6941, 875, 13864, 814, 849, 4299, 3610, 269, 769, 476, 1960, 271, 476, 274, 267, 5611, 7855, 5249, 538, 519, 8257, 282, 2221, 972, 616, 476, 273, 267, 275, 4281, 269, 2859, 982, 476, 6110, 3610, 616, 856, 540, 960, 267, 476, 1724, 260, 540, 519, 2698, 269, 634, 4128, 286, 634, 21903, 540, 519, 17163, 7503, 1544, 267, 11889, 3109, 21166, 267, 9769, 1065, 1833, 267, 11889, 556, 19280, 538, 519, 13646, 540, 519, 8257, 531, 2069, 18591, 543, 519, 3051, 26494, 540, 930, 3506, 563, 18128, 8172, 922, 1514, 9021, 267, 519, 2229, 6799, 3051, 26494, 607, 834, 611, 3439, 13577, 13190, 1701, 901, 5921, 7080, 2056, 1533, 24307, 693, 1585, 3506, 267, 6028, 930, 476, 1220, 3610, 609, 1100, 14012, 658, 1489, 269, 769, 476, 1960, 274, 267, 1614, 3506, 941, 834, 6588, 1027, 257, 609, 11889, 13190, 281, 519, 2817, 4659, 540, 519, 4639, 267, 519, 22513, 18372, 6428, 1794, 541, 4659, 538, 18491, 541, 1774, 543, 519, 17502, 528, 549, 16114, 3570, 4659, 538, 20052, 3821, 269, 8556, 13577, 13190, 10522, 12123, 585, 2069, 547, 10018, 3610, 262, 23269, 543, 519, 1565, 4099, 781, 1360, 6228, 563, 763, 12080, 540, 4065, 814, 8959, 922, 19647, 609, 519, 3450, 1876, 1317, 621, 814, 711, 16798, 13307, 547, 782, 20021, 540, 519, 16453, 3427, 269, 769, 519, 8257, 540, 2274, 11252, 476, 2568, 476, 1960, 274, 20021, 540, 519, 16453, 3427, 7283, 32014, 269, 1677, 713, 1895, 1590, 581, 3773, 1346, 32014, 689, 3105, 1296, 543, 1346, 945, 267, 2390, 18138, 741, 1514, 3028, 538, 824, 13623, 267, 723, 711, 1336, 960, 543, 2661, 538, 2274, 11252, 269, 769, 476, 1960, 274, 519, 12080, 540, 4065, 4904, 1152, 476, 1839, 540, 519, 476, 4037, 7158, 6035, 538, 519, 8257, 563, 763, 3610, 723, 547, 1265, 2081, 547, 7639, 269, 17721, 840, 3506, 14102, 676, 856, 540, 960, 7855, 32736, 538, 2274, 11252, 269, 11524, 723, 13175, 2146, 840, 3506, 267, 1141, 789, 2307, 3237, 585, 513, 8766, 9295, 269, 1358, 616, 2808, 3768, 699, 332, 23903, 269, 5565, 1007, 4357, 3506, 723, 8118, 538, 2274, 11252, 607, 1134, 282, 519, 5842, 12770, 632, 2667, 27599, 4659, 543, 519, 27062, 645, 13308, 4659, 563, 9743, 1464, 538, 2069, 814, 3978, 29854, 1851, 519, 30529, 269, 1879, 519, 12080, 540, 4065, 17735, 519, 24307, 547, 3506, 267, 519, 3506, 1185, 547, 1376, 9878, 741, 1378, 1216, 543, 3167, 12014, 269, 4841, 723, 547, 12840, 538, 713, 4674, 267, 543, 1082, 616, 7142, 547, 6749, 856, 540, 1153, 269, 1358, 3112, 2628, 1317, 741, 3237, 616, 32014, 563, 1103, 824, 2665, 267, 950, 513, 1297, 540, 3506, 616, 8678, 883, 835, 267, 1082, 1453, 3247, 4974, 1317, 519, 1153, 568, 1932, 2484, 2476, 543, 789, 3112, 6488, 519, 3232, 3560, 3790, 269, 1133, 655, 7877, 543, 1153, 9390, 542, 1711, 513, 30380, 4783, 602, 9428, 3232, 543, 2337, 519, 2229, 17854, 811, 3051, 520, 3074, 563, 763, 29158, 19088, 763, 3668, 540, 5491, 585, 12696, 543, 519, 1439, 540, 10412, 814, 3366, 547, 26464, 2804, 989, 3415, 269, 1280, 3484, 32305, 267, 519, 1158, 729, 4389, 547, 519, 10412, 24873, 610, 1870, 269, 4256, 2078, 609, 519, 3618, 1705, 711, 979, 3564, 891, 7182, 269, 1358, 1256, 12630, 10412, 593, 741, 1378, 2244, 3079, 540, 1426, 269, 634, 4729, 585, 1582, 4616, 12303, 1705, 711, 2291, 1851, 10412, 4600, 267, 799, 814, 1008, 12097, 513, 3348, 13895, 3510, 538, 1920, 11615, 563, 31819, 6920, 602, 519, 1699, 26900, 1312, 6662, 543, 16148, 11124, 676, 1082, 32014, 10412, 3484, 4600, 568, 513, 1267, 540, 519, 1395, 334, 7693, 6497, 1275, 602, 1500, 873, 1589, 602, 1152, 513, 1804, 10137, 12630, 609, 519, 3043, 2770, 742, 1131, 2149, 873, 689, 1022 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 543, 2589, 568, 27424, 269, 898, 568, 849, 1031, 547, 1294, 875, 2732, 267, 3207, 267, 543, 2589, 9305, 547, 3679, 17406, 538, 519, 24647, 269, 1677, 6166, 513, 5868, 540, 717, 26314, 610, 1265, 856, 2436, 717, 26314, 5574, 616, 2324, 267, 513, 4387, 949, 4363, 713, 1449, 269, 10507, 23569, 9063, 5464, 568, 519, 1034, 4977, 1259, 547, 3713, 7181, 3679, 538, 519, 24647, 269, 1703, 616, 1079, 2010, 540, 1965, 23569, 9063, 5464, 24121, 268, 595, 7752, 614, 16424, 1107, 4438, 713, 519, 1072, 8502, 7696, 338, 835, 1439, 540, 519, 29259, 630, 320, 6094, 267, 8465, 8546, 264, 998, 519, 9224, 883, 519, 1426, 10612, 547, 2268, 3679, 543, 1875, 14092, 573, 17406, 563, 268, 595, 2355, 2544, 16424, 1107, 634, 11285, 3096, 606, 1439, 24005, 547, 7696, 513, 1507, 267, 12616, 23555, 883, 519, 16298, 540, 519, 24647, 547, 2268, 3679, 17406, 563, 26835, 609, 721, 454, 1103, 713, 3296, 267, 649, 786, 2285, 1344, 1644, 547, 717, 26314, 2126, 563, 21675, 540, 15168, 323, 630, 294, 770, 549, 525, 23569, 4676, 12999, 8376, 994, 4131, 721, 1631, 917, 1018, 7189, 666, 798, 547, 1521, 717, 26314, 563, 268, 27999, 15448, 454, 294, 770, 549, 525, 23569, 17406, 2068, 630, 294, 26314, 264, 2589, 666, 581, 4389, 676, 1818, 6197, 2242, 269, 1452, 2242, 666, 581, 1945, 899, 713, 563, 268, 700, 3151, 2597, 543, 8377, 952, 596, 616, 14968, 454, 268, 18227, 519, 2212, 11506, 1247, 12008, 1797, 1210, 513, 5094, 10788, 578, 585, 713, 454, 268, 2372, 527, 7296, 454, 268, 15448, 538, 4189, 6208, 971, 607, 14084, 1524, 693, 3781, 610, 4189, 476, 274, 3108, 1354, 21557, 563, 268, 26451, 14312, 3039, 5388, 267, 1875, 2275, 527, 878, 5613, 267, 3092, 269, 538, 519, 2732, 454, 4407, 8156, 717, 26314, 267, 513, 4387, 949, 2303, 670, 268, 273, 13805, 3625, 619, 267, 23442, 6802, 20127, 267, 610, 6527, 602, 7794, 519, 6091, 538, 519, 2539, 851, 540, 519, 24647, 267, 799, 949, 581, 5363, 538, 4227, 519, 2589, 540, 717, 26314, 563, 2252, 519, 2589, 540, 717, 26314, 616, 711, 17212, 1386, 1256, 676, 519, 1657, 268, 20197, 5773, 543, 798, 711, 1616, 547, 1491, 519, 4915, 585, 513, 1279, 942, 267, 1287, 519, 4387, 949, 4363, 835, 540, 891, 1614, 23361, 547, 1521, 519, 717, 26314, 4470, 593, 519, 3510, 269, 666, 2285, 5796, 563, 268, 8750, 641, 997, 566, 281, 8750, 641, 997, 566, 568, 519, 1034, 1455, 6391, 585, 717, 26314, 269, 769, 1034, 2665, 267, 713, 814, 3366, 547, 606, 6454, 538, 519, 2589, 540, 717, 26314, 269, 4438, 713, 267, 519, 4387, 4907, 1227, 9395, 839, 519, 851, 689, 519, 1283, 540, 519, 7181, 547, 519, 1426, 10612, 269, 901, 2337, 2061, 17406, 269, 31048, 976, 666, 798, 713, 607, 22272, 541, 25646, 610, 1930, 6391, 563, 268, 645, 926, 6222, 6391, 281, 1403, 513, 1268, 568, 17324, 2059, 609, 717, 26314, 267, 7189, 949, 4363, 2597, 2000, 1601, 6391, 267, 849, 1634, 607, 536, 926, 6222, 6391, 610, 23441, 21271, 6391, 269, 645, 926, 6222, 6391, 666, 948, 596, 6336, 2597, 543, 8897, 717, 26314, 2589, 563, 268, 7736, 22000, 281, 769, 1082, 2665, 267, 7189, 949, 4363, 5773, 602, 946, 1439, 22000, 547, 1521, 717, 26314, 269, 769, 1439, 22000, 267, 519, 4387, 7696, 338, 513, 1507, 267, 8465, 8546, 609, 513, 8254, 998, 519, 5023, 547, 519, 1426, 10612, 269, 3973, 7189, 946, 1439, 25646, 5773, 547, 18055, 519, 1283, 540, 519, 7181, 1472, 519, 2539, 1965, 23569, 838, 327, 3307, 518, 610, 547, 5838, 5925, 325, 15968, 1648, 547, 519, 838, 327, 3307, 518, 269, 1717, 267, 7189, 1810, 1406, 1419, 946, 891, 5773, 563, 3086, 917, 519, 1344, 1644, 547, 519, 2732, 540, 717, 26314, 563, 291, 2884, 585, 15168, 323, 630, 294, 770, 549, 525, 23569, 4676, 12999, 8376, 994, 2252, 596, 1616, 547, 2569, 717, 26314, 2589, 267, 1287, 1101, 540, 782, 621, 568, 2556, 547, 3548, 1426, 693, 2547, 476, 274, 3108, 1354, 14084, 1524, 610, 12008, 693, 3781, 269, 18766, 689, 713, 267, 972, 616, 930, 3536, 4171, 4616, 666, 2333, 519, 1966, 540, 12884, 525, 23569, 17406, 2068, 269, 22067, 267, 917, 827, 873, 563, 268, 18729, 545, 3536, 267, 971, 607, 20521, 5613, 543, 14274, 454, 268, 24334, 610, 824, 14185, 3990, 6878, 454, 268, 4400, 19339, 3536, 454, 268, 1975, 5390, 1426, 454, 5649, 519, 2376, 11489, 519, 1439, 454, 3086, 917, 1018, 666, 581, 519, 3800, 547, 2057, 717, 26314, 563, 7093, 3685, 9669, 585, 15168, 323, 630, 294, 770, 549, 525, 23569, 4676, 12999, 8376, 994, 294, 26314, 666, 581, 14284, 676, 5329, 538, 2247, 519, 3800, 547, 2057, 717, 26314, 5018, 2630, 563, 268, 1677, 2057, 717, 26314, 267, 1101, 540, 782, 267, 2057, 1919, 602, 666, 2014, 29463, 269, 901, 949, 2569, 519, 2589, 540, 717, 26314, 563, 268, 25667, 568, 849, 513, 3815, 538, 717, 26314, 269, 769, 713, 2013, 267, 621, 568, 2556, 547, 2569, 8377, 563, 268, 24367, 513, 7059, 1560, 2597, 666, 849, 948, 2061, 717, 26314, 563, 268, 1677, 2057, 717, 26314, 267, 3548, 693, 2547, 476, 274, 3108, 1354, 14084, 1524, 610, 12008, 693, 3781, 563, 268, 1677, 2061, 717, 26314, 267, 2628, 3007, 547, 519, 2732, 971, 607, 9319, 4616, 540, 20521, 5613, 267, 533, 2426, 550, 267, 25970, 543, 4568, 267, 14185, 3990, 6878, 267, 3092, 563, 15371, 519, 2068, 568, 5634, 610, 2101, 32226, 267, 621, 666, 1831, 513, 2339, 540, 6161, 585, 4896, 269, 1403, 12884, 525, 23569, 17406, 2068, 568, 2451, 15860, 267, 519, 2298, 540, 1272, 666, 581, 4299, 269, 769, 971, 513, 3510, 267, 3800, 666, 581, 7550, 547, 2057, 717, 26314, 267, 5329, 538, 2247, 713, 1966, 666, 581, 14284, 543, 8323, 666, 581, 2016, 950, 8373, 14340, 269, 1403, 596, 723, 7928, 543, 4049, 717, 26314, 2589, 267, 3346, 707, 4387, 5612, 563, 21761, 18542, 5999, 24121, 8133, 267, 930, 540, 519, 1455, 2589, 540, 717, 26314, 1331, 1426, 2132, 610, 13481, 630, 8802, 4026, 2787, 1040, 1280, 713, 2601, 267, 621, 568, 1767, 602, 1004, 609, 717, 26314, 949, 12154, 527, 563, 2710, 4701, 13209, 717, 26314, 593, 519, 4493, 540, 2589, 540, 717, 26314, 971, 607, 519, 4743, 540, 1426, 12758, 538, 519, 9221, 267, 29463, 610, 1928, 538, 519, 9221, 267, 15353, 1310, 4189, 563, 26422, 1673, 3072, 14274, 2270, 476, 4375, 269, 273, 8406, 540, 10841, 12643, 545, 630, 341, 9559, 4211, 264, 3679, 269, 18729, 545, 3536, 267, 971, 607, 20521, 5613, 543, 14274, 267, 616, 12799, 24193, 538, 519, 2732, 540, 717, 26314, 269, 769, 971, 513, 3510, 267, 14274, 12015, 538, 519, 3141, 666, 2333, 713, 1966, 269, 0, 2414, 1054, 10868, 568, 835, 540, 519, 1034, 1455, 1919, 538, 513, 5959, 16758, 16310, 5711, 2638, 5725, 543, 5959, 9882, 269, 19239, 1235, 798, 741, 1655, 547, 4688, 707, 5694, 267, 855, 952, 606, 10868, 568, 519, 1152, 4781, 267, 707, 11290, 786, 2327, 621, 568, 2944, 7157, 269, 29392, 10868, 568, 513, 2241, 1184, 602, 18788, 519, 8851, 540, 513, 5694, 610, 4522, 547, 2061, 3441, 610, 32036, 3429, 269, 1403, 596, 616, 538, 513, 3510, 1141, 596, 991, 547, 4894, 513, 5694, 267, 596, 666, 979, 585, 4357, 5959, 2259, 543, 960, 856, 609, 513, 3318, 269, 634, 1739, 616, 4128, 1946, 9427, 707, 5694, 949, 581, 2556, 563, 8368, 540, 12937, 454, 1103, 329, 3753, 689, 5026, 267, 8813, 267, 543, 11315, 1404, 666, 2014, 5694, 3441, 952, 513, 1268, 8813, 610, 513, 2182, 1843, 5679, 4169, 519, 5694, 269, 6884, 519, 8009, 666, 581, 1932, 4049, 971, 602, 519, 5694, 2833, 3573, 3441, 269, 589, 8697, 5694, 666, 2014, 3968, 543, 2154, 513, 11213, 3597, 12324, 5650, 269, 634, 1655, 1259, 547, 6023, 513, 8697, 5694, 689, 8194, 568, 676, 9427, 621, 563, 303, 3233, 5959, 9882, 666, 1291, 547, 5694, 9178, 1813, 547, 4430, 19221, 540, 25188, 541, 543, 15799, 593, 519, 5694, 19596, 269, 634, 12074, 8532, 519, 19596, 267, 1818, 707, 4522, 4617, 269, 1403, 519, 1966, 568, 711, 17411, 2038, 267, 621, 5012, 547, 5563, 602, 2014, 7920, 1928, 267, 25017, 267, 11926, 543, 9178, 269, 634, 2068, 949, 849, 2014, 1973, 3968, 952, 621, 10301, 707, 1973, 12535, 269, 898, 1287, 4991, 547, 513, 1448, 1141, 519, 1152, 4781, 568, 547, 4894, 519, 5694, 547, 2061, 2417, 2152, 563, 5194, 2601, 9427, 513, 5694, 949, 581, 2556, 568, 32036, 3429, 269, 3683, 322, 992, 4765, 4522, 666, 1764, 707, 5920, 267, 4611, 538, 513, 2530, 540, 1582, 12635, 269, 1358, 949, 849, 1118, 621, 2352, 547, 2973, 1063, 4522, 267, 799, 5012, 547, 811, 15799, 19221, 269, 4475, 267, 596, 949, 4894, 519, 3063, 4522, 610, 519, 3765, 7955, 539, 3283, 547, 1863, 909, 2230, 585, 519, 1964, 269, 898, 849, 2337, 8190, 707, 12837, 1510, 519, 991, 585, 25329, 269, 4475, 267, 952, 596, 723, 4430, 4522, 7303, 1697, 5959, 9882, 610, 8297, 1456, 707, 12837, 267, 2015, 9683, 513, 11290, 547, 4894, 873, 563, 19808, 9146, 4386, 950, 513, 5694, 1281, 711, 17708, 339, 538, 519, 1318, 4287, 543, 24864, 1996, 519, 15231, 5694, 269, 8177, 542, 12662, 519, 5694, 7925, 547, 3968, 269, 898, 849, 3123, 11702, 593, 519, 10733, 267, 15319, 1145, 543, 31926, 269, 1411, 949, 1995, 11926, 610, 1928, 609, 606, 12936, 5694, 267, 1818, 621, 2352, 547, 1930, 707, 5023, 610, 25261, 5265, 269, 634, 1292, 27521, 540, 1764, 542, 568, 519, 7326, 4522, 602, 1332, 693, 519, 7944, 540, 519, 5023, 269, 4107, 1810, 1406, 17708, 339, 282, 952, 789, 798, 267, 789, 1332, 538, 519, 4636, 4287, 1813, 547, 3668, 540, 4055, 269, 4475, 267, 596, 949, 2154, 5694, 10868, 547, 2061, 811, 3441, 547, 824, 4522, 563, 294, 636, 610, 11270, 7267, 8376, 454, 20540, 7267, 610, 10733, 2068, 568, 3361, 676, 15799, 543, 25188, 541, 19221, 593, 707, 4522, 269, 1703, 616, 1082, 27731, 3676, 267, 855, 519, 1292, 3283, 616, 1974, 2632, 4345, 543, 31470, 26628, 269, 1452, 3676, 1860, 519, 10733, 4478, 707, 4522, 267, 1818, 519, 4522, 28221, 543, 4617, 269, 717, 532, 26628, 3123, 10733, 6553, 267, 1247, 1974, 2632, 4345, 3123, 5642, 543, 5160, 6553, 269, 634, 21324, 540, 707, 5694, 779, 2783, 949, 2154, 2656, 2962, 269, 1924, 267, 596, 786, 991, 547, 4894, 519, 5694, 543, 5372, 621, 609, 513, 5959, 13862, 522, 8115, 563, 2414, 1054, 10868, 568, 513, 2241, 1184, 602, 3322, 519, 946, 540, 3196, 1186, 543, 2199, 606, 20469, 269, 1717, 267, 952, 596, 723, 1764, 542, 267, 596, 949, 10929, 513, 10551, 5650, 269, 898, 568, 2629, 547, 3643, 513, 11727, 11290, 543, 1865, 519, 1655, 3681, 1354, 5694, 10868, 269, 0, 4692, 1405, 1569, 2199, 10676, 3842, 7379, 2232, 454, 2252, 596, 666, 1569, 513, 7746, 4881, 593, 707, 1378, 3684, 3842, 454, 29985, 10676, 264, 855, 711, 3842, 519, 2780, 781, 28258, 2232, 267, 713, 1797, 602, 519, 7746, 3301, 568, 27358, 547, 6432, 593, 519, 2199, 10676, 8818, 1152, 269, 901, 568, 513, 12122, 6221, 543, 547, 2057, 20392, 513, 5732, 796, 31261, 7746, 1082, 7746, 3292, 2097, 840, 20813, 2682, 323, 547, 6432, 593, 2199, 10676, 1152, 269, 2334, 1259, 596, 666, 9108, 1449, 12725, 1354, 20392, 519, 7746, 563, 271, 269, 271, 269, 271, 269, 271, 1797, 834, 4289, 523, 593, 782, 17103, 1459, 593, 713, 2780, 257, 799, 568, 10375, 267, 855, 949, 2014, 3354, 2152, 952, 519, 3684, 814, 2789, 17103, 269, 0, 278, 269, 4905, 901, 3184, 9388, 609, 519, 2489, 3344, 540, 16278, 269, 634, 4901, 786, 581, 5059, 593, 29761, 543, 13198, 1146, 334, 267, 2094, 670, 6558, 568, 7255, 1152, 609, 835, 2027, 2186, 540, 16278, 269, 476, 278, 269, 6349, 808, 9766, 323, 2109, 568, 513, 1523, 609, 1082, 10096, 269, 272, 1284, 616, 7255, 609, 16278, 547, 7755, 644, 6510, 630, 9080, 2772, 16278, 1070, 799, 568, 519, 1379, 547, 1641, 7606, 610, 1919, 547, 3656, 18659, 269, 898, 14340, 538, 1585, 8658, 267, 855, 649, 616, 7255, 9003, 609, 519, 3486, 630, 663, 954, 268, 614, 761, 3645, 264, 273, 2796, 269, 898, 568, 2356, 5258, 883, 1079, 6688, 281, 16278, 538, 1268, 600, 2483, 5825, 619, 1510, 513, 20478, 616, 711, 2111, 547, 1294, 519, 2407, 454, 1729, 1569, 782, 1543, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 27503, 19002, 267, 1346, 945, 6785, 1864, 4330, 681, 2643, 534, 670, 12298, 607, 513, 2203, 15795, 3766, 571, 1457, 543, 513, 6126, 4819, 609, 1079, 15962, 267, 952, 12212, 30223, 267, 3237, 8165, 998, 6710, 267, 2250, 23948, 566, 543, 26683, 563, 293, 12188, 543, 1920, 15422, 23566, 12011, 1695, 667, 21672, 11219, 11055, 607, 968, 320, 581, 13154, 540, 1769, 2223, 513, 6093, 512, 1048, 21943, 8004, 945, 6068, 15472, 543, 729, 513, 3787, 540, 513, 9505, 614, 30132, 269, 8616, 1200, 9159, 12837, 267, 789, 2161, 267, 1517, 1221, 519, 1928, 1352, 5433, 689, 11648, 689, 824, 3214, 693, 1200, 10821, 22497, 1153, 563, 305, 2643, 534, 267, 476, 1556, 267, 543, 23566, 12011, 1695, 267, 476, 1321, 267, 5030, 538, 1114, 2694, 540, 6115, 267, 667, 5861, 1421, 543, 2693, 4769, 1406, 917, 1142, 824, 269, 1809, 741, 7972, 26595, 873, 281, 681, 2643, 534, 8149, 11980, 538, 5437, 476, 1001, 278, 267, 543, 23566, 12011, 1695, 27333, 1705, 519, 1482, 713, 2250, 5130, 563, 15987, 8710, 5944, 1762, 585, 971, 13357, 267, 519, 1079, 849, 9414, 24034, 8579, 3466, 269, 2859, 10026, 27070, 3979, 12677, 1453, 723, 1044, 2921, 741, 1378, 2729, 267, 543, 3109, 8695, 543, 6690, 1063, 519, 6502, 540, 476, 276, 543, 476, 1321, 616, 3257, 865, 693, 10199, 7466, 519, 2557, 540, 3043, 3214, 519, 1482, 2085, 563, 1103, 12687, 540, 476, 1556, 4458, 6040, 5067, 779, 11980, 267, 10515, 335, 749, 1920, 5932, 1489, 1895, 454, 290, 1513, 517, 29325, 651, 3576, 1010, 1378, 1272, 267, 693, 519, 13035, 1762, 2085, 540, 476, 1556, 269, 1261, 4769, 1406, 4734, 513, 4063, 269, 1261, 4769, 1406, 2995, 4896, 1946, 563, 763, 3237, 540, 606, 476, 1556, 4458, 6040, 7911, 6825, 513, 2352, 543, 1474, 828, 16683, 2063, 3923, 676, 9621, 547, 948, 519, 1985, 1920, 602, 1522, 4166, 723, 547, 3802, 741, 1482, 3929, 543, 11213, 2619, 563, 290, 1513, 517, 29325, 651, 779, 3237, 4330, 547, 721, 513, 1187, 2000, 8221, 4819, 945, 1869, 5129, 609, 6181, 657, 269, 589, 979, 1993, 344, 267, 10995, 2699, 268, 3650, 267, 519, 21836, 540, 1614, 14552, 563, 2108, 4517, 646, 729, 865, 5100, 269, 2494, 267, 594, 6785, 646, 729, 2469, 547, 581, 1250, 20548, 773, 2223, 1010, 19033, 26778, 29325, 651, 1767, 269, 968, 763, 1079, 4587, 3283, 594, 1810, 1406, 1589, 616, 2469, 547, 589, 261, 300, 269, 1809, 23663, 517, 729, 2469, 547, 581, 1250, 20548, 773, 3034, 3719, 593, 4989, 476, 2764, 540, 2063, 1032, 1310, 513, 24895, 936, 26050, 693, 741, 2777, 538, 10515, 335, 749, 267, 23663, 517, 267, 513, 2786, 5025, 2875, 267, 606, 782, 268, 19925, 1434, 4819, 267, 8604, 22350, 13347, 563, 2108, 4517, 646, 3357, 1524, 267, 543, 646, 729, 1175, 24986, 543, 621, 729, 2731, 811, 982, 4376, 269, 898, 4769, 1406, 3514, 519, 3510, 2223, 1010, 3158, 4989, 29325, 651, 1767, 563, 2005, 4769, 1406, 3514, 693, 782, 269, 1656, 2663, 602, 3781, 950, 26778, 4682, 547, 1010, 5067, 779, 4055, 547, 1289, 1864, 547, 12129, 267, 646, 1336, 519, 2063, 29695, 6429, 646, 1223, 2479, 723, 16545, 563, 300, 6260, 519, 8375, 20352, 540, 11980, 7972, 2066, 519, 2136, 2276, 454, 22296, 8336, 3928, 616, 593, 519, 4473, 2066, 519, 4182, 855, 24076, 811, 865, 982, 538, 6917, 17521, 267, 2687, 547, 513, 1007, 1353, 676, 513, 2319, 540, 15544, 585, 8376, 6513, 543, 10644, 3173, 563, 763, 1353, 7851, 267, 538, 13778, 1469, 267, 10315, 7400, 2242, 538, 11980, 3928, 1063, 476, 1220, 276, 543, 476, 1001, 276, 269, 634, 14318, 1657, 267, 6383, 689, 5515, 538, 519, 1867, 267, 2982, 513, 10770, 267, 18487, 2333, 538, 11980, 3928, 693, 519, 10315, 1377, 1282, 602, 1974, 269, 26162, 538, 6917, 5375, 17521, 1376, 1055, 1164, 543, 4473, 1256, 2362, 269, 589, 2220, 987, 540, 519, 2197, 4881, 689, 20274, 998, 519, 29630, 2103, 6763, 856, 267, 607, 1134, 563, 8072, 17954, 1136, 1524, 519, 2528, 540, 16563, 685, 281, 26146, 3237, 945, 4503, 8250, 547, 11980, 3717, 856, 454, 763, 20182, 779, 7800, 652, 8250, 20388, 328, 3576, 1200, 1378, 1272, 538, 5988, 1310, 513, 1279, 6370, 609, 4965, 269, 2701, 729, 476, 2764, 1296, 2025, 563, 1103, 606, 5967, 609, 654, 4263, 3736, 2073, 519, 9986, 1392, 1767, 9561, 741, 8250, 1185, 1044, 513, 2713, 3781, 332, 732, 269, 1809, 789, 616, 5462, 547, 1832, 20388, 328, 779, 3965, 9800, 563, 763, 7008, 723, 2907, 6659, 811, 982, 1269, 10384, 271, 538, 519, 1291, 5346, 547, 519, 2196, 267, 609, 7482, 6659, 547, 979, 2047, 547, 519, 681, 308, 10498, 11980, 6604, 17493, 269, 6004, 269, 543, 11427, 269, 20182, 5063, 3370, 513, 2110, 5816, 1141, 789, 1305, 856, 741, 5784, 593, 875, 519, 2790, 1072, 1062, 543, 938, 8456, 2509, 621, 2877, 547, 1689, 269, 1358, 723, 2016, 654, 4263, 3736, 10479, 547, 1065, 889, 1501, 13980, 540, 602, 5816, 563, 28490, 513, 1126, 1185, 513, 838, 11712, 21721, 610, 513, 811, 17116, 2783, 1644, 547, 2860, 267, 972, 1131, 581, 513, 2484, 3152, 1377, 540, 1489, 543, 4316, 547, 4497, 609, 12665, 543, 3489, 2556, 1489, 2223, 519, 9986, 1392, 1767, 563, 763, 11980, 2557, 585, 3109, 1977, 1453, 568, 7466, 602, 540, 3043, 1453, 454, 19669, 4892, 616, 811, 2693, 547, 3479, 11980, 982, 3109, 4892, 269, 1809, 513, 1007, 1353, 9060, 602, 519, 6587, 568, 3020, 585, 1453, 563, 14937, 1453, 1063, 519, 6502, 540, 476, 276, 547, 476, 1321, 1296, 2025, 616, 10199, 7466, 607, 2693, 547, 1491, 741, 1378, 1272, 982, 741, 3043, 13413, 267, 2687, 547, 519, 1957, 267, 3370, 538, 519, 4760, 808, 24717, 27435, 269, 898, 8591, 547, 513, 476, 1001, 277, 1353, 602, 1336, 606, 2333, 538, 11980, 3928, 538, 2487, 1296, 1851, 3109, 1453, 540, 10026, 17469, 2085, 563, 2710, 4701, 1711, 2200, 585, 3237, 6619, 540, 1007, 11313, 1724, 30258, 4208, 685, 4005, 454, 4415, 519, 2034, 4005, 540, 519, 2442, 28923, 3126, 968, 1724, 30258, 4208, 892, 1631, 18297, 267, 2790, 1072, 4648, 1616, 3237, 547, 581, 5423, 585, 875, 519, 1397, 2443, 799, 2882, 1641, 2339, 971, 607, 4638, 14213, 267, 1153, 5208, 267, 6219, 6057, 267, 11648, 543, 11980, 2443, 1522, 1860, 741, 1453, 563, 10527, 1101, 4005, 540, 11313, 1724, 30258, 4208, 685, 1185, 513, 7168, 1713, 1764, 593, 1762, 1004, 2223, 20574, 623, 269, 918, 4669, 345, 267, 631, 6185, 1421, 513, 1126, 543, 15730, 31897, 693, 595, 32385, 10620, 5753, 779, 11233, 6481, 4741, 267, 5143, 9215, 31165, 14268, 269, 968, 2690, 1346, 540, 721, 945, 1294, 1082, 1762, 1004, 538, 6433, 2443, 4947, 547, 519, 6595, 8257, 609, 29047, 1361, 566, 267, 585, 1383, 2443, 519, 1249, 602, 519, 1397, 729, 593, 519, 2247, 540, 891, 2550, 543, 741, 3885, 2731, 29860, 856, 693, 721, 269, 1656, 713, 729, 2066, 519, 2197, 3034, 301, 297, 3993, 11479, 6643, 1472, 2790, 1072, 538, 12687, 540, 5067, 779, 11980, 454, 288, 2199, 3993, 6499, 547, 1118, 2386, 1100, 824, 1920, 7959, 519, 1928, 1200, 338, 814, 1185, 547, 22036, 269, 4173, 5067, 8149, 11980, 267, 855, 1100, 835, 7691, 646, 729, 538, 8373, 269, 1924, 1352, 779, 593, 513, 5692, 547, 5397, 513, 1454, 32571, 6643, 827, 4965, 563, 305, 659, 3559, 548, 853, 269, 1912, 731, 6257, 1200, 5067, 29154, 344, 607, 968, 1492, 4819, 3025, 17329, 3034, 2108, 3891, 4682, 856, 540, 1010, 1259, 547, 1118, 824, 1004, 1745, 1434, 2223, 24981, 548, 1767, 269, 968, 19013, 267, 1018, 649, 4769, 1406, 8275, 568, 602, 930, 540, 602, 856, 4707, 1145, 729, 1864, 8066, 1945, 3330, 3034, 301, 5847, 827, 24981, 548, 779, 7123, 8585, 1356, 6019, 2146, 1131, 3921, 27274, 9594, 27421, 540, 4965, 693, 1404, 269, 1656, 602, 779, 4010, 519, 1448, 563, 27736, 685, 2672, 8336, 7304, 601, 730, 11233, 6250, 1080, 22547, 26588, 2952, 454, 5804, 476, 1220, 279, 547, 476, 1001, 276, 267, 519, 8167, 540, 6595, 4055, 543, 6413, 13341, 585, 11980, 5829, 21904, 3592, 2468, 9482, 269, 6168, 2947, 1296, 3516, 267, 12963, 2103, 693, 966, 6387, 321, 2830, 2160, 6481, 4741, 538, 27850, 6807, 1336, 602, 811, 543, 811, 540, 741, 538, 18345, 15135, 693, 519, 1453, 779, 6413, 941, 13026, 676, 1453, 543, 10708, 609, 2790, 1072, 2152, 267, 2523, 1346, 945, 1185, 2097, 538, 1317, 540, 11980, 8942, 267, 610, 29047, 4555, 269, 1452, 2550, 941, 1634, 607, 968, 4580, 619, 27535, 1358, 941, 7996, 585, 17867, 13307, 1317, 621, 7012, 1406, 2922, 585, 873, 547, 979, 1753, 563, 763, 7189, 9289, 2436, 519, 1966, 729, 1808, 547, 741, 2749, 267, 5310, 10452, 17077, 2199, 2200, 269, 1809, 538, 513, 1007, 1353, 538, 519, 4760, 27435, 267, 789, 1336, 602, 713, 1482, 4806, 4371, 3020, 1472, 519, 2197, 936, 519, 1974, 689, 476, 1220, 279, 547, 476, 1001, 276, 563, 18658, 649, 1265, 18487, 568, 602, 936, 519, 2063, 8717, 267, 519, 2338, 540, 3214, 1373, 15861, 610, 5275, 948, 538, 519, 6595, 8257, 610, 6413, 585, 29047, 1361, 566, 610, 8942, 723, 13497, 2799, 2223, 1767, 3220, 269, 27068, 20167, 7825, 976, 267, 606, 12314, 7548, 540, 12963, 338, 693, 519, 3933, 19172, 5516, 961, 12789, 269, 5753, 779, 11233, 693, 966, 6387, 321, 2830, 563, 9199, 767, 532, 3203, 1401, 3031, 527, 570, 871, 956, 519, 853, 7950, 540, 2672, 8336, 454, 4263, 519, 700, 2378, 599, 8291, 11833, 538, 3687, 6339, 517, 6390, 16047, 593, 13628, 267, 2904, 476, 1015, 267, 3627, 645, 21516, 27145, 30870, 14538, 21945, 585, 968, 27094, 538, 14730, 1145, 2223, 606, 10543, 2680, 10023, 12129, 267, 513, 14980, 25488, 543, 16823, 10529, 547, 6318, 7482, 543, 4656, 585, 968, 1432, 779, 19382, 2223, 513, 10707, 1148, 8858, 2813, 547, 8141, 4901, 827, 11980, 543, 2790, 4576, 563, 763, 19180, 8858, 2934, 811, 982, 476, 2412, 1568, 689, 16506, 5159, 543, 814, 1044, 10268, 693, 28503, 2066, 519, 1533, 267, 689, 22750, 4741, 585, 519, 8551, 538, 8262, 325, 1251, 547, 21861, 548, 1335, 13162, 534, 5783, 538, 3687, 6339, 517, 6390, 563, 763, 8858, 729, 6896, 676, 645, 21516, 267, 538, 11450, 609, 5839, 305, 739, 773, 3203, 4741, 267, 543, 3181, 3176, 538, 5181, 476, 1001, 276, 538, 645, 21516, 779, 554, 32528, 540, 9835, 14943, 1749, 267, 3687, 333, 269, 769, 476, 1001, 277, 267, 968, 1432, 779, 19382, 892, 3459, 4663, 532, 267, 8744, 513, 5048, 540, 4126, 543, 519, 2984, 540, 1346, 20109, 676, 11980, 547, 10034, 1804, 543, 1507, 563, 763, 1788, 11710, 689, 645, 21516, 779, 2123, 1995, 609, 519, 10969, 566, 602, 11980, 3762, 538, 922, 12687, 281, 646, 4503, 1010, 476, 4097, 4458, 6040, 8250, 23729, 534, 547, 11980, 538, 476, 1001, 274, 563, 6124, 4005, 540, 11313, 1724, 30258, 4208, 685, 1869, 6098, 676, 7189, 945, 2161, 621, 1350, 600, 528, 3278, 7141, 11980, 454, 21357, 4966, 2161, 28923, 543, 15888, 540, 519, 2034, 4005, 540, 476, 1724, 30258, 4208, 2443, 18297, 11016, 2443, 5749, 1406, 3257, 2614, 547, 26193, 519, 2333, 538, 7141, 647, 15969, 543, 949, 581, 8716, 5299, 13906, 2665, 563, 10574, 1397, 519, 7141, 11980, 2557, 9782, 676, 811, 982, 476, 3583, 260, 1063, 476, 1220, 277, 543, 476, 1001, 277, 609, 3109, 7141, 647, 15969, 2810, 2484, 5488, 269, 634, 17105, 9880, 2501, 5103, 519, 3126, 685, 1007, 9784, 540, 11980, 6604, 267, 799, 2882, 513, 5698, 609, 519, 1977, 7690, 585, 2672, 8336, 10644, 630, 28425, 9915, 1916, 5278, 13915, 540, 519, 3126, 267, 799, 4951, 513, 11980, 543, 4638, 14213, 538, 8642, 1469, 267, 16620, 519, 1101, 4005, 585, 1350, 600, 528, 1944, 11980, 269, 634, 8167, 540, 11564, 5473, 29047, 4555, 2443, 1634, 607, 968, 728, 566, 892, 2443, 29860, 676, 811, 982, 476, 2412, 260, 2063, 4989, 543, 2904, 3379, 547, 519, 4374, 1354, 519, 5305, 540, 519, 3126, 685, 1101, 4005, 593, 4728, 476, 4029, 267, 476, 1001, 278, 267, 2687, 547, 513, 1353, 540, 6634, 540, 7189, 685, 11564, 676, 476, 1691, 268, 547, 476, 736, 4458, 29419, 563, 19136, 21782, 538, 772, 2529, 269, 3214, 267, 12322, 12394, 11980, 454, 1103, 513, 5538, 17331, 1129, 602, 811, 1762, 4892, 616, 10010, 609, 4965, 543, 4160, 267, 1007, 1382, 2982, 513, 1713, 4473, 538, 519, 1297, 540, 1153, 21943, 1453, 543, 12322, 3206, 540, 2921, 741, 1378, 2729, 610, 2965, 12394, 11980, 563, 763, 1353, 267, 3370, 538 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9990, 540, 1715, 7926, 454, 9802, 476, 272, 267, 476, 1708, 273, 281, 634, 2034, 7160, 540, 8058, 13826, 13324, 676, 1488, 2023, 27622, 267, 4371, 12303, 519, 3018, 540, 4989, 476, 1839, 267, 476, 1708, 273, 267, 12286, 476, 1789, 4803, 6002, 8204, 811, 982, 476, 5611, 5159, 269, 898, 729, 4843, 676, 4035, 601, 15952, 532, 543, 13397, 14819, 267, 799, 8547, 519, 1397, 2063, 1032, 267, 2059, 609, 631, 9391, 13397, 14819, 543, 31173, 607, 922, 1007, 1071, 1790, 6974, 518, 538, 476, 1708, 273, 563, 1607, 973, 777, 3217, 513, 1413, 693, 930, 540, 519, 3466, 602, 941, 7074, 1312, 538, 519, 5691, 4803, 3218, 1630, 16251, 543, 538, 519, 3872, 29468, 602, 941, 851, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 303, 31021, 26505, 257, 607, 851, 540, 834, 16300, 13493, 1315, 3203, 1315, 27006, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 5149, 476, 280, 281, 9697, 541, 716, 17889, 910, 589, 6206, 1306, 1051, 540, 744, 20953, 6193, 6657, 692, 7072, 692, 290, 20345, 716, 6391, 568, 513, 4909, 2460, 540, 29555, 6193, 2259, 267, 5473, 519, 8851, 540, 519, 31063, 7828, 630, 13906, 541, 716, 264, 543, 10682, 609, 606, 5841, 12499, 22811, 7828, 630, 296, 5357, 1040, 901, 5650, 814, 7960, 3648, 2094, 922, 4367, 267, 4742, 10930, 267, 811, 3608, 267, 543, 5051, 10531, 269, 769, 713, 1770, 267, 649, 786, 5490, 883, 25942, 716, 6391, 781, 3140, 2796, 267, 2413, 2553, 267, 7760, 267, 543, 2104, 8846, 269, 1284, 786, 849, 2263, 875, 7341, 899, 519, 19724, 640, 744, 20953, 17443, 22895, 1681, 1982, 3565, 547, 2810, 4763, 1369, 519, 2361, 543, 5355, 3461, 4093, 780, 23208, 12745, 692, 290, 20345, 716, 6391, 666, 581, 14360, 1394, 5215, 540, 1296, 547, 3504, 12977, 971, 607, 5527, 543, 3127, 269, 7216, 2409, 3769, 4172, 4221, 267, 1141, 513, 13549, 6438, 6293, 729, 1031, 547, 20247, 11229, 519, 25942, 716, 689, 519, 3308, 7852, 1510, 9427, 621, 7357, 269, 1717, 267, 891, 2038, 5773, 1419, 8507, 538, 4057, 5075, 1813, 547, 4608, 8091, 539, 31659, 6959, 269, 7073, 943, 23147, 655, 6160, 2305, 267, 5189, 538, 519, 4571, 268, 736, 628, 2540, 267, 19117, 25942, 716, 6391, 998, 16953, 26610, 540, 519, 25942, 716, 4553, 676, 8321, 566, 269, 4653, 267, 8441, 3136, 547, 3986, 3106, 267, 8856, 267, 543, 4398, 780, 17457, 9828, 543, 21992, 906, 692, 28757, 25942, 716, 6391, 16621, 1896, 1883, 3268, 267, 4098, 609, 1351, 928, 531, 1651, 2888, 1210, 2901, 8261, 19059, 610, 3185, 339, 846, 1718, 22795, 269, 8921, 267, 1471, 1723, 601, 2880, 1570, 14014, 543, 15387, 2230, 1369, 519, 3750, 1282, 6391, 269, 1912, 23147, 655, 6160, 2305, 1287, 15998, 543, 18788, 519, 25942, 716, 3842, 24318, 21319, 1648, 269, 594, 5357, 24450, 5205, 267, 799, 949, 4125, 1395, 1993, 5914, 14485, 267, 512, 7595, 14485, 630, 1721, 4230, 25634, 1143, 15494, 1070, 12947, 5914, 14485, 630, 1721, 1095, 2421, 18701, 15494, 1070, 610, 1256, 8383, 908, 14485, 269, 7053, 267, 588, 668, 531, 20697, 32195, 519, 1351, 928, 531, 10138, 780, 13146, 10124, 1331, 4359, 594, 5357, 2326, 267, 6272, 267, 543, 4066, 267, 971, 607, 6905, 3178, 540, 1445, 630, 3633, 29996, 264, 14485, 267, 1769, 28253, 14485, 267, 543, 3185, 339, 846, 1718, 8955, 29374, 25942, 716, 6391, 269, 1452, 7835, 2832, 547, 2087, 10551, 6111, 267, 2569, 8374, 267, 543, 11126, 2022, 10869, 3308, 1035, 8462, 269, 3958, 267, 1007, 9196, 2645, 899, 9804, 25843, 29821, 630, 302, 6311, 264, 5351, 23262, 538, 2688, 1944, 5574, 1759, 593, 1367, 2550, 262, 2115, 780, 291, 1751, 543, 769, 12807, 538, 744, 20953, 17443, 692, 3682, 31810, 971, 607, 519, 19724, 640, 744, 20953, 17443, 22895, 1681, 11036, 1404, 513, 2565, 1909, 538, 5009, 4763, 1369, 29555, 17443, 269, 1635, 5807, 538, 1816, 4369, 267, 891, 3646, 948, 2327, 12581, 6041, 1851, 3782, 7426, 267, 6038, 30364, 782, 2550, 269, 23207, 4763, 10597, 2686, 28671, 267, 10607, 2792, 267, 543, 6971, 1072, 13103, 1107, 2188, 3226, 4143, 538, 29555, 6193, 1416, 267, 2016, 922, 1713, 7292, 543, 6803, 3604, 538, 9860, 267, 2126, 267, 543, 4093, 585, 2175, 899, 15847, 30636, 14527, 543, 29847, 780, 31306, 19648, 692, 2026, 2029, 5170, 14027, 267, 3209, 4485, 616, 6932, 538, 25942, 716, 6391, 269, 1280, 1383, 267, 18951, 1949, 2709, 1761, 2640, 899, 8476, 8856, 267, 4389, 18874, 9854, 267, 543, 4824, 23908, 517, 15299, 269, 5047, 267, 5841, 4987, 6620, 1223, 4217, 538, 840, 10869, 4058, 267, 12499, 10869, 5583, 267, 543, 2022, 10869, 4879, 267, 2417, 11160, 13586, 4791, 3375, 1818, 543, 3461, 4093, 780, 6962, 692, 1103, 5758, 267, 25942, 716, 6391, 4564, 513, 4105, 5057, 540, 29555, 6193, 2259, 267, 11179, 9687, 7258, 6639, 23484, 543, 9750, 1702, 269, 3414, 8537, 3872, 5752, 267, 649, 6536, 4763, 1851, 9439, 1247, 5466, 10770, 31716, 538, 3782, 6765, 269, 11086, 267, 14237, 3309, 13007, 20115, 5849, 6099, 1416, 585, 938, 2479, 1673, 1392, 4328, 2486, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 14737, 528, 640, 744, 20953, 17443, 22895, 1681, 19573, 919, 26969, 11773, 2685, 454, 14737, 528, 640, 744, 20953, 17443, 22895, 1681, 1982, 1053, 723, 20083, 547, 476, 1428, 1114, 3292, 2066, 519, 2197, 267, 1519, 519, 654, 14389, 269, 918, 749, 17344, 16685, 4741, 267, 16099, 2160, 16685, 4741, 267, 808, 2737, 23415, 16685, 4659, 267, 543, 20999, 744, 20953, 17443, 563, 10527, 19724, 640, 744, 20953, 17443, 1982, 729, 2629, 547, 1250, 10700, 1967, 538, 519, 6474, 2223, 1767, 26826, 595, 269, 9466, 267, 11022, 267, 945, 729, 851, 540, 519, 4147, 540, 476, 1001, 279, 269, 968, 296, 1745, 602, 1346, 1906, 2110, 2395, 693, 519, 9906, 22580, 5358, 3323, 513, 6777, 4252, 1198, 602, 16111, 23353, 1250, 4081, 1272, 1848, 3220, 269, 9466, 20083, 693, 1715, 3840, 16685, 543, 2423, 5606, 3305, 776, 540, 6778, 31291, 328, 563, 763, 1982, 568, 513, 11450, 1063, 519, 9142, 543, 519, 5948, 540, 2160, 5584, 832, 540, 744, 20953, 17443, 630, 288, 16810, 302, 1040, 634, 3804, 568, 547, 2333, 4763, 538, 29555, 17443, 676, 4543, 26173, 538, 4915, 630, 308, 6020, 300, 264, 1053, 1831, 8013, 29555, 17443, 32031, 23078, 269, 4841, 4309, 30023, 267, 13033, 3255, 267, 543, 1569, 547, 1534, 10620, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 290, 20345, 716, 17889, 257, 607, 851, 540, 834, 25503, 1315, 744, 20953, 17443, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 10289, 5375, 4516, 781, 3778, 692, 7072, 912, 5970, 596, 2479, 9289, 875, 1272, 729, 899, 585, 1004, 945, 5030, 1354, 721, 286, 2107, 1018, 621, 3576, 585, 938, 2197, 547, 1831, 1018, 621, 568, 2221, 286, 901, 3184, 786, 1491, 596, 593, 513, 3460, 998, 942, 607, 649, 2263, 930, 1713, 2621, 602, 5280, 3337, 7262, 4516, 256, 3245, 13341, 609, 6805, 2950, 547, 519, 12625, 540, 3864, 13896, 267, 713, 3184, 814, 3893, 621, 782, 256, 1924, 10544, 707, 1686, 22970, 543, 1577, 781, 4685, 883, 519, 4241, 1158, 540, 7262, 4516, 781, 2250, 2439, 4089, 476, 272, 281, 5020, 6969, 17417, 910, 7402, 12420, 2060, 7087, 18877, 454, 16524, 1354, 3864, 17701, 1305, 3723, 538, 4516, 267, 1082, 1114, 6805, 2516, 4278, 1882, 1934, 269, 1452, 2950, 1185, 741, 2189, 4529, 267, 5389, 267, 4654, 267, 543, 2081, 540, 2713, 1055, 519, 2244, 269, 2368, 6805, 6082, 941, 9930, 19631, 267, 10707, 689, 1747, 547, 1747, 1739, 3662, 31459, 267, 1247, 1866, 3710, 8628, 5321, 2282, 8933, 267, 12647, 267, 610, 7733, 269, 2913, 781, 1451, 827, 835, 971, 2146, 1107, 519, 4563, 20584, 13780, 269, 1358, 616, 1500, 909, 540, 1614, 1292, 11031, 1634, 607, 13961, 802, 11986, 267, 13100, 1731, 8643, 267, 543, 918, 664, 2967, 269, 4256, 2757, 8513, 838, 10165, 2066, 2694, 540, 2413, 6377, 22598, 267, 32527, 520, 3832, 9774, 267, 543, 23497, 269, 1280, 5553, 267, 789, 16941, 8185, 2390, 10889, 14900, 10122, 585, 1426, 267, 7802, 267, 2645, 267, 543, 12062, 269, 5994, 9849, 544, 11484, 553, 1231, 630, 7809, 16463, 10887, 264, 1500, 689, 10889, 14900, 12404, 610, 1210, 513, 6367, 543, 15561, 18705, 689, 922, 7633, 543, 20534, 9749, 256, 30474, 3579, 267, 1318, 2496, 4089, 476, 273, 281, 1715, 1260, 619, 27336, 633, 910, 3864, 16709, 543, 5590, 25557, 454, 2026, 1296, 5293, 267, 811, 543, 811, 17417, 3323, 3695, 1007, 3338, 5275, 2200, 267, 4123, 3255, 267, 543, 7045, 269, 7324, 873, 941, 28773, 267, 2043, 945, 4941, 547, 3262, 8567, 1851, 6805, 5095, 269, 3509, 5185, 2591, 15268, 547, 14542, 5054, 267, 2679, 3347, 1759, 593, 3972, 267, 543, 1620, 3309, 2686, 2853, 269, 1717, 267, 972, 941, 1967, 2984, 1932, 269, 2290, 1383, 568, 12429, 15751, 30086, 558, 2041, 267, 513, 3943, 8225, 744, 4565, 622, 17308, 945, 4121, 1896, 5065, 4654, 543, 3964, 2178, 7554, 609, 1585, 3689, 8315, 3401, 269, 1261, 1256, 5129, 513, 2629, 1909, 538, 27410, 15521, 476, 277, 1063, 519, 22477, 543, 26111, 595, 872, 267, 8381, 1633, 595, 872, 267, 2667, 514, 756, 334, 710, 267, 543, 824, 13164, 269, 6056, 827, 875, 4101, 2943, 14785, 621, 1131, 581, 547, 1628, 13123, 1063, 1079, 27723, 1114, 10600, 2439, 4089, 476, 274, 281, 21744, 14924, 7870, 910, 8177, 540, 674, 584, 11780, 543, 12565, 1811, 454, 10521, 2101, 4229, 4547, 10373, 2242, 547, 7262, 4516, 1282, 519, 3735, 476, 10204, 271, 338, 543, 2038, 476, 5197, 271, 338, 1107, 9663, 9467, 3549, 543, 16456, 338, 269, 5637, 8118, 9885, 585, 2804, 2208, 855, 849, 5189, 1950, 2152, 1472, 16857, 6811, 267, 4199, 2359, 267, 543, 16285, 269, 634, 23747, 779, 7345, 7577, 630, 295, 6195, 1070, 8547, 538, 476, 15757, 271, 267, 2968, 513, 3532, 6345, 538, 519, 9663, 4123, 269, 4706, 3060, 540, 9708, 21401, 689, 23747, 7345, 547, 7414, 7909, 5032, 6050, 267, 18534, 12686, 1514, 6384, 1369, 543, 3564, 6805, 2950, 269, 3973, 3357, 519, 1098, 11666, 1581, 16749, 22820, 269, 14716, 1212, 9749, 9788, 13475, 8220, 9456, 16899, 547, 3703, 12052, 267, 13321, 9678, 4525, 883, 14297, 32387, 4904, 609, 11082, 13197, 1732, 2729, 269, 1809, 891, 7760, 1419, 22314, 2757, 19824, 267, 3056, 547, 7526, 936, 2244, 946, 543, 9562, 269, 2052, 596, 4952, 6028, 3297, 3388, 5432, 547, 1376, 606, 1168, 12341, 3116, 286, 1215, 1522, 1346, 2833, 1745, 585, 1312, 519, 1007, 2855, 11040, 543, 4540, 11317, 2496, 4089, 476, 275, 281, 11572, 1744, 22284, 910, 32700, 543, 15332, 454, 1103, 476, 5908, 278, 267, 2185, 3703, 10125, 8087, 896, 835, 5313, 2229, 2870, 4516, 607, 649, 917, 621, 2221, 269, 17652, 1310, 267, 16395, 3459, 547, 10536, 681, 10967, 339, 781, 8092, 267, 513, 7372, 8513, 11262, 676, 519, 670, 6195, 269, 2991, 1454, 7521, 267, 11788, 10579, 11184, 3627, 589, 269, 5839, 323, 10735, 6707, 12349, 681, 10967, 339, 781, 8092, 538, 476, 6942, 271, 267, 4946, 6634, 540, 4009, 12919, 547, 8225, 16278, 269, 901, 7269, 15427, 3875, 3609, 3664, 7133, 6805, 9082, 267, 1519, 14097, 11650, 6322, 693, 4687, 3338, 543, 2200, 25678, 269, 10251, 267, 3765, 23890, 267, 7745, 14767, 267, 543, 796, 5471, 6788, 3366, 547, 13253, 1869, 5433, 2221, 269, 14484, 532, 1394, 593, 4505, 6810, 267, 666, 596, 2697 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 13113, 19899, 9548, 6935, 568, 606, 2085, 6040, 13055, 9808, 9853, 609, 13253, 865, 5225, 1450, 803, 547, 2673, 602, 7450, 2864, 3533, 676, 10771, 938, 2241, 4214, 540, 519, 12808, 281, 968, 763, 12808, 568, 519, 12007, 4082, 540, 15364, 267, 15340, 543, 10103, 17929, 15364, 1917, 1115, 1931, 267, 15340, 1917, 1115, 1894, 267, 543, 10103, 1917, 1115, 6384, 1848, 634, 13113, 568, 519, 11050, 4082, 269, 2334, 779, 621, 269, 23875, 811, 269, 32506, 3116, 24455, 6499, 547, 791, 1393, 568, 741, 1870, 282, 621, 568, 4440, 711, 4143, 1934, 563, 20751, 513, 2370, 936, 835, 2034, 267, 519, 3490, 268, 273, 7269, 568, 856, 547, 519, 476, 13893, 628, 10035, 269, 23851, 20099, 568, 476, 11740, 267, 275, 2190, 269, 277, 3953, 12919, 269, 23851, 2527, 568, 513, 646, 11998, 476, 275, 269, 5952, 274, 278, 9943, 9818, 275, 13532, 269, 3807, 547, 2322, 602, 538, 2796, 267, 519, 1611, 3328, 3845, 1063, 519, 3618, 543, 519, 7599, 568, 476, 29575, 267, 29710, 5998, 630, 24487, 267, 5952, 277, 11465, 1040, 898, 568, 476, 32579, 267, 4335, 5998, 630, 21854, 267, 4335, 11465, 264, 693, 519, 829, 580, 2465, 543, 476, 32076, 267, 10384, 5998, 630, 21857, 267, 10384, 11465, 264, 693, 519, 3284, 334, 32607, 269, 634, 3141, 779, 2527, 568, 1472, 476, 272, 269, 7176, 280, 6398, 476, 9818, 271, 4846, 865, 693, 713, 10035, 267, 519, 5860, 540, 519, 7122, 814, 12746, 625, 547, 513, 23377, 5182, 269, 634, 7122, 607, 649, 917, 621, 5956, 547, 1491, 3337, 1063, 3502, 566, 268, 3422, 543, 476, 3192, 269, 2311, 476, 1015, 267, 279, 3066, 267, 4649, 280, 267, 21916, 267, 25953, 267, 1822, 7643, 267, 3502, 566, 268, 3422, 267, 519, 11944, 568, 693, 476, 29340, 269, 1428, 2929, 1032, 1665, 563, 9617, 1369, 891, 476, 1708, 711, 725, 267, 1934, 616, 513, 1906, 8711, 540, 713, 3490, 268, 273, 2203, 912, 763, 1101, 7061, 15088, 269, 2060, 713, 4901, 267, 649, 7903, 602, 7934, 1524, 883, 938, 31208, 2572, 2711, 543, 2215, 867, 658, 960, 609, 23851, 21384, 269, 1284, 2022, 3634, 602, 972, 616, 1082, 1761, 6384, 547, 2253, 519, 1101, 7061, 15088, 607, 621, 7575, 909, 1346, 711, 725, 269, 2311, 930, 1448, 267, 519, 20008, 770, 541, 3587, 851, 540, 513, 1062, 543, 5956, 547, 1847, 269, 898, 568, 6422, 269, 898, 666, 1376, 543, 3247, 269, 898, 666, 1847, 1472, 543, 909, 543, 1524, 711, 725, 563, 2171, 798, 917, 602, 676, 3502, 566, 268, 6858, 621, 814, 1831, 851, 540, 519, 5958, 540, 519, 711, 725, 543, 865, 5956, 519, 7403, 602, 616, 6353, 607, 3768, 1815, 573, 1464, 630, 11357, 915, 338, 1070, 9296, 1584, 1464, 630, 30447, 1070, 543, 17674, 1464, 630, 15953, 338, 1916, 2171, 616, 538, 3406, 540, 4267, 547, 519, 2243, 267, 968, 2691, 543, 1141, 798, 891, 15088, 8915, 9495, 1284, 616, 581, 21794, 585, 948, 269, 1452, 616, 782, 1007, 2090, 585, 721, 269, 3776, 2241, 1686, 5956, 538, 476, 1001, 272, 269, 3776, 811, 2565, 1686, 4769, 1406, 2731, 2253, 2394, 476, 1001, 277, 269, 3502, 5976, 9227, 267, 649, 616, 23019, 1004, 543, 3494, 519, 15088, 2965, 11385, 622, 267, 1101, 1063, 711, 725, 267, 1287, 1063, 5036, 540, 711, 725, 267, 543, 1287, 1369, 2516, 540, 711, 725, 563, 8133, 267, 2094, 476, 1001, 272, 649, 723, 1044, 6998, 5640, 585, 5796, 827, 621, 782, 269, 898, 568, 513, 1360, 1114, 267, 7357, 7329, 3930, 2106, 29386, 2203, 1759, 593, 29933, 28836, 2798, 540, 2070, 269, 3502, 5976, 9227, 267, 972, 568, 1454, 811, 547, 2263, 267, 543, 865, 649, 786, 3136, 607, 1655, 649, 666, 563, 8923, 4063, 602, 713, 568, 1869, 513, 11315, 1101, 8908, 269, 898, 3587, 513, 3787, 13193, 326, 615, 2630, 713, 1899, 269, 910, 289, 4488, 454, 4014, 972, 616, 6402, 2429, 713, 3896, 547, 519, 5412, 476, 866, 267, 476, 1001, 272, 1650, 540, 938, 1164, 1153, 9511, 1053, 543, 741, 3610, 31743, 25543, 1117, 6425, 543, 12354, 320, 1117, 6425, 1524, 883, 519, 23851, 4336, 543, 1287, 856, 547, 519, 2085, 543, 2450, 540, 519, 7122, 267, 1934, 616, 824, 1883, 6402, 547, 2995, 513, 3787, 811, 540, 602, 1650, 912, 10303, 540, 922, 9836, 19280, 267, 713, 1788, 729, 7620, 2808, 513, 13241, 1907, 563, 2691, 649, 1223, 1265, 1100, 1747, 1369, 938, 7470, 585, 18573, 779, 661, 573, 657, 543, 3029, 267, 17127, 779, 744, 639, 807, 267, 9352, 4238, 267, 1448, 16451, 22762, 1845, 267, 18999, 4133, 3292, 267, 5569, 3069, 610, 8520, 7061, 8904, 630, 921, 848, 1294, 1899, 476, 1556, 540, 938, 8880, 5750, 1070, 649, 4956, 267, 968, 6546, 3580, 782, 581, 1369, 519, 1101, 476, 6858, 711, 725, 1848, 1284, 6785, 1287, 972, 1131, 581, 606, 11995, 2179, 540, 960, 547, 798, 1369, 713, 2203, 563, 2171, 3323, 607, 3388, 1281, 267, 2241, 269, 1284, 1491, 2370, 3268, 543, 2307, 2241, 2055, 269, 1284, 2119, 547, 2463, 782, 1991, 14172, 269, 1879, 649, 1831, 11821, 267, 649, 1900, 1394, 547, 1945, 811, 2241, 269, 1924, 267, 621, 729, 609, 2620, 2463, 602, 649, 7722, 519, 7131, 300, 1935, 547, 519, 7122, 543, 1224, 602, 519, 1034, 1673, 626, 3907, 1639, 24697, 1284, 514, 6199, 630, 1504, 267, 674, 5217, 5455, 264, 1522, 1289, 713, 2203, 267, 968, 320, 6264, 5786, 1143, 1848, 1284, 3136, 32702, 609, 1010, 960, 543, 609, 891, 824, 5640, 912, 3776, 3355, 2090, 540, 519, 960, 540, 674, 269, 595, 269, 7671, 630, 295, 269, 670, 269, 654, 1571, 8212, 12524, 267, 2160, 540, 30290, 267, 4789, 264, 543, 808, 269, 590, 269, 918, 28771, 630, 14197, 11272, 7577, 779, 3194, 12524, 267, 2480, 1156, 624, 8014, 267, 715, 28629, 4700, 8118, 519, 2035, 1369, 12945, 12641, 846, 24386, 540, 3160, 21384, 267, 519, 2468, 836, 4327, 11558, 16115, 267, 543, 519, 11944, 540, 519, 25543, 28353, 689, 1175, 2185, 21384, 269, 2334, 782, 8118, 519, 1259, 547, 4497, 634, 8212, 540, 2372, 553, 545, 15009, 1023, 12995, 676, 623, 808, 23415, 14551, 339, 543, 590, 744, 560, 331, 1495, 269, 1284, 6560, 547, 9787, 519, 960, 540, 5640, 1369, 713, 1858, 912, 3776, 1101, 4367, 547, 519, 22263, 2981, 729, 998, 24697, 853, 5766, 28739, 593, 13100, 1554, 538, 476, 1001, 276, 269, 3571, 2376, 585, 634, 1715, 3840, 518, 18225, 6949, 730, 693, 602, 942, 543, 621, 1869, 1281, 2221, 269, 3767, 649, 616, 12394, 547, 2731, 2007, 883, 519, 22263, 960, 269, 2986, 1576, 267, 649, 723, 513, 1279, 1259, 547, 979, 269, 3371, 616, 930, 540, 519, 5640, 547, 7247, 649, 616, 4867, 7432, 585, 948, 912, 12430, 14759, 616, 851, 540, 519, 6384, 1369, 513, 10035, 269, 8616, 267, 972, 568, 513, 4630, 23189, 609, 782, 519, 733, 27631, 1544, 4242, 335, 12742, 865, 22762, 1845, 949, 11593, 8831, 1369, 711, 725, 543, 2066, 711, 725, 269, 898, 4667, 602, 519, 6384, 540, 782, 12166, 3631, 540, 519, 7122, 949, 3180, 16367, 10569, 269, 2060, 602, 14820, 267, 649, 616, 1930, 547, 782, 2090, 540, 2230, 543, 942, 15340, 912, 634, 2262, 267, 23851, 12106, 267, 568, 513, 1883, 267, 4295, 1523, 543, 649, 786, 3136, 547, 1382, 621, 2394, 649, 1265, 519, 1655, 2009, 2200, 602, 979, 1394, 607, 2038, 607, 2009, 269, 1677, 4266, 267, 649, 1376, 609, 3627, 24747, 518, 779, 960, 609, 7061, 17371, 282, 621, 1223, 3180, 513, 1883, 269, 3371, 616, 1866, 912, 5808, 616, 519, 5640, 547, 7247, 649, 666, 2490, 547, 1451, 827, 3678, 6973, 545, 3029, 286, 2986, 1576, 267, 972, 616, 519, 5640, 1369, 519, 18999, 4133, 3292, 543, 5569, 3069, 269, 1358, 723, 2944, 13455, 960, 2094, 519, 476, 3192, 271, 338, 543, 789, 723, 2944, 513, 2101, 2179, 540, 960, 547, 5581, 922, 3678, 6973, 545, 3029, 912, 2290, 540, 519, 1158, 779, 3056, 5640, 1369, 5569, 3069, 568, 3798, 31864, 1084, 269, 1261, 568, 849, 513, 9543, 2006, 269, 5221, 519, 5354, 540, 1010, 4876, 814, 1044, 538, 519, 14692, 540, 2462, 29907, 14421, 1108, 267, 1010, 960, 814, 1185, 606, 7543, 4358, 1448, 609, 799, 547, 25077, 269, 1703, 568, 1100, 2653, 9194, 547, 513, 3069, 602, 24864, 942, 1606, 10628, 7146, 2000, 697, 1927, 693, 519, 23851, 4336, 267, 543, 1287, 1586, 609, 2527, 7146, 7302, 1618, 693, 519, 1985, 1377, 630, 322, 273, 1040, 898, 786, 581, 4241, 547, 1294, 952, 789, 786, 798, 1732, 1369, 513, 4411, 1376, 602, 28196, 1149, 519, 8978, 3331, 355, 750, 267, 543, 3947, 741, 9015, 519, 8953, 540, 519, 1544, 4242, 335, 1877, 1369, 3502, 566, 268, 272, 543, 1169, 1544, 4242, 335, 1877, 998, 3502, 566, 268, 6858, 267, 543, 693, 2547, 519, 1101, 476, 6858, 711, 725, 540, 1142, 7766, 10035, 563, 2986, 1576, 267, 3490, 268, 273, 568, 519, 1101, 12825, 7269, 540, 713, 2203, 971, 602, 1100, 1448, 1369, 519, 7122, 267, 1318, 689, 519, 1101, 8216, 267, 568, 811, 982, 476, 1708, 711, 1049, 3268, 2476, 269, 8616, 267, 594, 3494, 938, 2309, 2065, 7122, 786, 849, 1449, 3490, 268, 274, 269, 1403, 8209, 4371, 538, 2638, 676, 3490, 268, 273, 267, 972, 949, 1900, 676, 1614, 547, 3502, 566, 268, 277, 267, 1287, 3502, 566, 268, 280, 543, 865, 593, 267, 971, 602, 972, 568, 606, 14919, 540, 476, 6858, 9912, 338, 998, 547, 3502, 566, 268, 1001, 269, 12476, 268, 276, 267, 952, 8209, 4371, 538, 2638, 676, 3490, 268, 273, 267, 1522, 581, 476, 2412, 3268, 998, 547, 3502, 566, 268, 1220, 563, 1692, 798, 891, 824, 13279, 8915, 286, 1548, 568, 741, 6935, 547, 519, 6305, 1297, 543, 3490, 268, 273, 888, 12648, 3490, 268, 278, 269, 1403, 8209, 4371, 538, 2638, 676, 3490, 268, 273, 267, 1131, 621, 1869, 1683, 476, 2764, 9912, 338, 547, 3502, 566, 268, 3422, 286, 6875, 3490, 268, 1556, 282, 952, 8209, 4371, 538, 2638, 676, 3490, 268, 273, 267, 1522, 972, 581, 1175, 476, 1240, 3268, 547, 3502, 566, 268, 2735, 286, 2986, 1576, 267, 649, 723, 811, 2055, 982, 4267, 269, 543, 3490, 268, 1724, 1175, 19939, 3268, 998, 547, 3502, 566, 268, 4198, 269, 1452, 13421, 540, 711, 725, 7654, 949, 1134, 6338, 1256, 811, 1950, 3252, 563, 763, 4102, 4009, 540, 513, 6305, 267, 476, 14530, 274, 568, 476, 15433, 267, 15069, 896, 476, 1708, 282, 543, 267, 476, 14378, 278, 630, 1492, 1985, 6305, 264, 568, 936, 630, 29579, 1040, 1924, 267, 4352, 3769, 1369, 519, 3490, 268, 273, 11144, 267, 616, 3502, 566, 268, 1724, 543, 3502, 566, 268, 15433, 4628, 3146, 331, 1049, 609, 3490, 268, 273, 286, 1548, 1281, 621, 1413, 899, 888, 14087, 325, 1254, 269, 2290, 540, 1686, 779, 6574, 17024, 1500, 513, 1034, 4909, 12161, 602, 729, 7368, 585, 827, 476, 5197, 271, 1296, 269, 2334, 568, 513, 12161, 540, 12473, 17114, 269, 1284, 616, 782, 6026, 547, 723, 971, 1390, 2463, 585, 5640, 267, 2943, 3006, 621, 6585, 721, 1394, 269, 17127, 630, 29575, 1700, 27088, 14514, 1070, 835, 540, 519, 6574, 5259, 15806, 543, 513, 14671, 987, 267, 15069, 1185, 20541, 3631, 540, 519, 25543, 28353, 267, 6382, 646, 1131, 723, 2938, 543, 5433, 513, 12166, 7934, 269, 12866, 25543, 1117, 6425, 782, 4687, 835, 1455, 6316, 10741, 513, 7934, 269, 3733, 1101, 4901, 827, 621, 729, 538, 476, 1001, 277, 563, 5197, 271, 1296, 2663, 269, 634, 1390, 338, 602, 4553, 17127, 7368, 1010, 12161, 543, 649, 8959, 547, 9787, 513, 1034, 268, 24207, 2298, 540, 2241, 9511, 269, 2290, 540, 938, 3119, 2707, 4930, 568, 968, 7069, 3122, 625, 538, 13268, 532, 8617, 570, 25523, 1117, 571, 630, 14457, 264, 892, 676, 11518, 9445, 595, 269, 20698, 926, 553, 543, 932, 10224, 2719, 2098, 784, 269, 1358, 16941, 8185, 593, 519, 10656, 2376, 676, 667, 269, 808, 269, 26647, 1731, 267, 670, 564, 6274, 655, 2048, 5719, 791, 2280, 7748, 1327, 328, 8730, 715, 773, 17703, 1488, 27815, 642, 3233, 654, 7416, 1495, 324, 267, 10022, 476, 273, 267, 476, 1428, 630, 4572, 276, 1700, 4572, 279, 1070, 1100, 269, 476, 274, 267, 476, 13199, 1700, 15389, 269, 1284, 4076, 782, 3893, 547, 2992, 593, 713, 12161, 563, 2171, 616, 17216, 1851, 513, 1360, 1906, 945, 3409, 602, 713, 7934, 568, 519, 4493, 585, 7061, 967, 9057, 514, 2329, 267, 20541, 687, 267, 1863, 786, 267, 17674, 1464 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 540, 13882, 936, 7584, 1851, 519, 5605, 817, 611, 832, 267, 972, 729, 1100, 1267, 269, 1879, 519, 4961, 5828, 547, 519, 17169, 1317, 540, 519, 26568, 9204, 543, 519, 17062, 31458, 267, 646, 5795, 519, 2749, 11156, 513, 4207, 1689, 676, 4259, 909, 519, 4961, 262, 12233, 269, 1280, 811, 982, 476, 1911, 1296, 267, 519, 2749, 814, 1044, 838, 1563, 689, 11439, 7526, 563, 763, 4279, 4168, 9605, 267, 513, 1614, 6377, 2749, 3595, 267, 10032, 811, 982, 476, 6110, 8075, 538, 476, 14378, 280, 269, 769, 476, 14690, 273, 267, 7671, 31060, 1256, 2968, 513, 10821, 2749, 585, 3592, 1614, 1296, 267, 1317, 519, 1287, 14890, 20913, 1325, 3691, 19816, 540, 28554, 7559, 630, 8176, 23446, 3738, 5030, 538, 519, 6022, 9820, 4446, 1188, 27346, 606, 3541, 14858, 559, 2394, 5239, 476, 14690, 275, 1547, 634, 4098, 540, 519, 21654, 711, 1152, 6770, 2804, 267, 855, 849, 2686, 25372, 547, 519, 2749, 540, 7671, 31060, 269, 22893, 1217, 2933, 538, 519, 7671, 31060, 2243, 543, 4159, 3377, 2073, 1346, 5461, 538, 6214, 2864, 1224, 519, 7671, 31060, 8585, 2017, 3780, 1547, 9677, 10218, 17791, 10458, 729, 2575, 8689, 693, 519, 22186, 18288, 523, 330, 1844, 515, 689, 476, 14378, 273, 547, 476, 15094, 272, 6902, 3619, 9220, 729, 4535, 538, 476, 14690, 280, 6902, 769, 476, 12293, 274, 20787, 691, 543, 968, 15089, 1676, 331, 9232, 5129, 2185, 1256, 902, 538, 513, 10689, 593, 17389, 8578, 571, 340, 28086, 282, 769, 476, 9965, 275, 5576, 14525, 781, 28763, 1446, 3768, 17389, 2041, 729, 6566, 328, 1229, 538, 519, 7671, 31060, 2817, 26308, 269, 634, 8318, 725, 540, 2274, 641, 1245, 4083, 538, 476, 9692, 271, 543, 1079, 1296, 2663, 540, 30686, 4083, 941, 849, 14222, 2621, 267, 519, 26832, 30018, 1915, 540, 799, 568, 4330, 538, 1896, 5359, 689, 713, 1974, 563, 1103, 476, 11260, 274, 5292, 3279, 790, 609, 1010, 23122, 15328, 24982, 1325, 612, 663, 549, 2051, 4802, 328, 543, 6368, 849, 513, 562, 19991, 540, 5292, 3279, 790, 941, 1033, 7134, 538, 519, 2749, 676, 519, 2398, 11701, 11347, 31578, 30686, 13153, 6154, 12682, 698, 585, 936, 513, 3923, 267, 7620, 593, 519, 5279, 540, 2348, 21687, 513, 11430, 3740, 12377, 689, 519, 2398, 11701, 4622, 543, 6368, 1354, 922, 5305, 6154, 12682, 698, 3775, 5523, 267, 1310, 799, 5292, 3279, 790, 9663, 13124, 8179, 1010, 10751, 269, 8422, 1296, 2663, 267, 1282, 519, 18599, 13012, 262, 2782, 2073, 7671, 31060, 729, 13026, 676, 519, 3943, 543, 267, 5103, 2101, 17600, 267, 17477, 519, 13567, 2394, 519, 1439, 540, 519, 2112, 563, 20540, 540, 519, 3943, 7169, 454, 1103, 519, 3689, 29663, 2782, 2073, 4937, 31654, 710, 9676, 7671, 31060, 593, 5239, 476, 2537, 267, 476, 9692, 273, 543, 13684, 11033, 540, 476, 273, 2929, 1368, 843, 619, 593, 519, 2749, 1547, 2201, 5412, 476, 273, 526, 540, 602, 1032, 267, 519, 2398, 1380, 2103, 543, 31928, 572, 267, 13059, 689, 19598, 27158, 2073, 973, 2194, 3293, 519, 2749, 269, 1306, 513, 6204, 1597, 597, 540, 519, 6370, 267, 519, 670, 612, 754, 523, 330, 7356, 729, 25517, 693, 17054, 31000, 8776, 1547, 769, 476, 9692, 277, 7671, 31060, 729, 13026, 676, 519, 22341, 4937, 13153, 654, 691, 839, 548, 17754, 1547, 1809, 646, 1223, 711, 3180, 5128, 1996, 519, 3943, 896, 14639, 5174, 2194, 626, 324, 28822, 2946, 828, 2073, 945, 1185, 519, 2749, 10514, 12023, 593, 5147, 476, 1724, 628, 543, 476, 1691, 628, 269, 634, 10514, 731, 618, 3361, 4049, 3441, 538, 519, 2749, 267, 2523, 538, 7225, 1263, 21692, 1547, 1280, 519, 7642, 540, 519, 2749, 267, 519, 10514, 731, 618, 632, 1249, 334, 5921, 519, 1439, 540, 519, 575, 2867, 1729, 735, 13955, 602, 1185, 11478, 585, 936, 476, 4968, 1296, 269, 634, 17105, 24744, 8569, 540, 476, 277, 2929, 21473, 14369, 538, 6666, 543, 476, 273, 2929, 538, 5838, 625, 729, 513, 5230, 11411, 585, 519, 2749, 269, 634, 2749, 729, 1287, 10294, 9243, 593, 5412, 476, 273, 267, 476, 9692, 277, 267, 799, 519, 25415, 3493, 16615, 1234, 947, 547, 3204, 839, 7921, 540, 5988, 476, 1839, 267, 476, 5197, 274, 9672, 269, 2755, 693, 602, 942, 3592, 782, 11440, 4872, 4503, 741, 11440, 4059, 2329, 267, 7671, 31060, 7283, 606, 11440, 2749, 543, 849, 4607, 782, 519, 5289, 22590, 538, 922, 1858, 563, 294, 8681, 667, 1276, 344, 540, 7671, 31060, 454, 1103, 5130, 476, 5197, 277, 4937, 589, 4007, 516, 879, 13026, 519, 2749, 609, 476, 280, 267, 1822, 2367, 543, 970, 9285, 1776, 476, 275, 2929, 21473, 14369, 689, 621, 269, 2060, 519, 5748, 540, 519, 28039, 514, 321, 1495, 2073, 7671, 31060, 4503, 922, 7115, 543, 729, 11368, 883, 519, 2829, 540, 519, 13584, 6261, 337, 1493, 20913, 23323, 528, 13153, 18243, 6199, 1547, 7671, 31060, 729, 547, 1831, 519, 10160, 540, 519, 25143, 652, 698, 540, 519, 10910, 710, 32700, 2073, 855, 713, 25143, 652, 698, 729, 6038, 711, 7691, 563, 4002, 5181, 476, 277, 267, 476, 5197, 277, 267, 646, 9411, 2229, 267, 10294, 782, 3909, 6105, 547, 581, 14718, 585, 1533, 13646, 543, 11292, 519, 7642, 3540, 2924, 269, 1717, 267, 646, 729, 8572, 547, 5706, 5007, 5208, 269, 769, 476, 8687, 271, 267, 7671, 31060, 18005, 2968, 519, 3854, 540, 519, 9241, 2813, 9835, 667, 1276, 344, 540, 7671, 31060, 2073, 513, 16486, 4577, 9682, 1533, 610, 2203, 1533, 4586, 7628, 713, 942, 519, 2749, 23384, 2101, 2242, 538, 922, 4683, 2497, 269, 634, 5553, 6040, 6830, 5874, 941, 24905, 1194, 269, 769, 1840, 547, 519, 2244, 2744, 267, 621, 729, 849, 4448, 609, 519, 9837, 602, 1510, 519, 6830, 2305, 6821, 972, 1131, 581, 1100, 811, 3441, 689, 666, 12061, 3595, 269, 25052, 941, 3710, 538, 741, 1747, 1547, 3619, 9220, 781, 3993, 5206, 547, 1200, 5067, 16423, 32184, 593, 5147, 476, 272, 267, 476, 5197, 279, 2433, 834, 763, 2025, 15155, 30672, 723, 1044, 6569, 267, 519, 2025, 19235, 14324, 1524, 267, 513, 6288, 1472, 519, 2898, 2749, 1701, 634, 15155, 30672, 267, 799, 616, 1869, 4570, 2221, 2073, 723, 7361, 6870, 519, 15155, 30672, 689, 2679, 269, 865, 602, 15516, 269, 3619, 9220, 781, 3948, 5170, 563, 10403, 4975, 540, 7671, 31060, 454, 10403, 4975, 540, 7671, 31060, 543, 519, 4436, 32700, 454, 4002, 5437, 476, 273, 267, 476, 8687, 274, 267, 519, 6105, 24027, 1996, 19167, 6410, 883, 7671, 31060, 267, 16219, 519, 2749, 547, 11177, 741, 2025, 2924, 538, 5412, 543, 1305, 909, 513, 3844, 11889, 14643, 896, 519, 4287, 540, 6154, 328, 615, 337, 12154, 23415, 1547, 634, 21499, 6837, 2920, 10294, 7671, 31060, 513, 5131, 4975, 540, 519, 4436, 32700, 2073, 543, 538, 476, 8687, 277, 621, 2968, 519, 10160, 540, 519, 25143, 652, 698, 1547, 901, 2229, 8116, 759, 3660, 538, 519, 6022, 9820, 774, 1248, 3768, 570, 9471, 1547, 3619, 9220, 5128, 9415, 519, 14643, 832, 950, 646, 10272, 1010, 554, 32528, 585, 519, 2063, 942, 538, 476, 8687, 276, 609, 519, 1913, 281, 834, 288, 1863, 2749, 19262, 513, 1863, 2247, 3267, 898, 568, 1697, 7671, 31060, 547, 19542, 689, 782, 5011, 543, 547, 581, 3742, 538, 782, 8846, 4799, 763, 2749, 3576, 713, 5796, 547, 2295, 269, 769, 1899, 609, 519, 5313, 957, 5293, 693, 519, 6837, 540, 21499, 2073, 621, 849, 5795, 3294, 606, 29567, 11156, 2073, 519, 13338, 24045, 957, 1547, 634, 4168, 29559, 941, 9833, 607, 2348, 3160, 2924, 267, 543, 519, 7642, 941, 849, 2016, 519, 1318, 547, 4123, 538, 5370, 543, 547, 3715, 15327, 267, 799, 538, 1880, 5280, 519, 681, 16251, 18876, 1920, 689, 7671, 31060, 547, 3715, 3486, 1870, 3347, 269, 3245, 519, 13473, 536, 28123, 12251, 773, 2073, 1932, 267, 29123, 2968, 3742, 267, 971, 607, 519, 21471, 20435, 26179, 853, 7564, 23437, 630, 853, 7564, 23437, 16532, 519, 7354, 1188, 28086, 7849, 3194, 5980, 610, 519, 4123, 543, 4123, 7681, 8547, 676, 519, 30168, 26179, 5903, 2073, 799, 1185, 519, 2832, 540, 14874, 782, 9821, 11645, 543, 5191, 540, 4123, 269, 634, 1287, 32082, 14880, 5576, 13449, 327, 21516, 6410, 689, 12670, 547, 7671, 31060, 538, 476, 8146, 272, 543, 20582, 713, 609, 519, 3515, 281, 968, 288, 2635, 2916, 267, 4190, 1858, 267, 29319, 538, 2462, 4872, 267, 519, 2067, 1686, 9754, 267, 1732, 14364, 267, 22968, 543, 30145, 267, 811, 2296, 1004, 267, 1732, 6995, 8075, 267, 1100, 3983, 1216, 3267, 543, 513, 1732, 11290, 269, 27029, 7628, 519, 942, 540, 519, 4436, 32700, 4956, 693, 519, 6837, 540, 21499, 2073, 7671, 31060, 729, 519, 2797, 4099, 540, 5125, 269, 634, 11808, 268, 2247, 539, 2797, 1062, 896, 519, 6117, 3196, 540, 13584, 13153, 5450, 1181, 747, 2073, 799, 15469, 519, 11091, 540, 519, 19036, 569, 1507, 2829, 2073, 729, 2014, 585, 519, 2551, 547, 28586, 563, 763, 24890, 540, 519, 2046, 543, 1164, 9821, 543, 3454, 11645, 2073, 799, 12042, 1229, 2804, 2208, 267, 941, 519, 5072, 540, 519, 11685, 267, 7258, 519, 9241, 6932, 267, 24084, 2287, 20748, 20678, 540, 519, 536, 28123, 12251, 773, 269, 634, 13986, 19420, 1282, 519, 3943, 5147, 7169, 630, 8146, 271, 1070, 519, 14470, 5437, 772, 19828, 630, 8146, 271, 270, 4029, 264, 543, 519, 32068, 7169, 630, 8146, 271, 270, 4029, 264, 2799, 519, 7287, 585, 5647, 269, 634, 4436, 32700, 6836, 547, 555, 23702, 519, 9992, 15715, 1436, 540, 519, 7671, 325, 584, 1562, 609, 519, 8429, 2717, 525, 945, 19679, 519, 6739, 1065, 1833, 563, 763, 3350, 20678, 585, 3084, 9322, 2073, 5191, 543, 2442, 16285, 6896, 32444, 19771, 267, 971, 607, 519, 670, 3711, 778, 16635, 538, 476, 8146, 273, 267, 799, 729, 849, 6829, 538, 606, 1055, 3333, 2393, 540, 519, 9995, 327, 1993, 16635, 538, 7671, 31060, 993, 6301, 267, 538, 799, 476, 275, 267, 1822, 1004, 3576, 851, 563, 5415, 9097, 1004, 689, 519, 11685, 3350, 538, 966, 768, 7564, 337, 345, 6896, 519, 11439, 32574, 269, 901, 14605, 5423, 3801, 3576, 1747, 593, 6153, 11016, 540, 519, 1032, 476, 8146, 274, 1634, 607, 519, 7671, 31060, 654, 659, 1156, 560, 584, 332, 630, 520, 602, 942, 849, 1572, 519, 7671, 31060, 26923, 3801, 15426, 634, 1544, 585, 519, 19420, 729, 547, 4323, 519, 2749, 781, 7128, 10473, 543, 519, 8549, 13909, 538, 1931, 547, 9594, 513, 4838, 538, 5125, 563, 5475, 519, 11056, 540, 1346, 3743, 267, 3875, 2797, 10580, 267, 849, 1634, 607, 11728, 530, 805, 26387, 2073, 4646, 538, 7671, 31060, 538, 799, 2417, 15024, 941, 5941, 269, 634, 2398, 11701, 26195, 1195, 19230, 519, 14130, 693, 519, 25143, 652, 698, 538, 476, 7277, 278, 281, 834, 15973, 626, 543, 24180, 2093, 666, 1291, 547, 27693, 1996, 519, 4540, 1931, 4799, 9359, 540, 7841, 6808, 538, 7671, 31060, 454, 1103, 476, 8146, 280, 519, 2085, 540, 7841, 6808, 3459, 538, 7671, 31060, 993, 6301, 269, 898, 729, 519, 1101, 3296, 540, 519, 19248, 684, 639, 6728, 856, 4707, 7841, 910, 8905, 540, 519, 19248, 684, 639, 24020, 593, 5021, 2073, 6301, 345, 547, 654, 625, 21112, 523, 8118, 269, 634, 1101, 5721, 3460, 689, 7671, 31060, 8694, 538, 670, 7238, 577, 560, 1547, 634, 1899, 267, 13234, 676, 513, 4357, 16749, 2754, 2073, 6603, 24051, 1562, 8583, 538, 476, 8146, 280, 543, 654, 625, 21112, 523, 538, 476, 7277, 271, 563, 18550, 7169, 543, 6754, 12921, 1844, 515, 12057, 454, 763, 5114, 776, 22341, 3557, 26554, 27891, 5450, 1181, 747, 6368, 1185, 547, 2285, 909, 2073, 7142, 676, 519, 4728, 7169, 2073, 543, 713, 729, 2523, 9976, 538, 7671, 31060, 269, 2201, 4728, 476, 1789, 267, 476, 7277, 279, 267, 3109, 267, 2699, 543, 4154, 17514, 941, 2938, 10876, 543, 519, 2551, 729, 19230, 711, 547, 9496, 538, 519, 2011, 269, 2201, 2904, 476, 1240, 267, 476, 7277, 279, 267, 513, 1554, 602, 930, 12206, 1289, 519, 6574, 1554, 538, 519, 1686, 540, 519, 2749, 540, 7671, 31060, 267, 519, 2817, 13909, 4371, 922, 1101, 543, 593, 2904, 476, 4029, 267, 476, 7277, 280, 922, 2063, 8400, 538, 519, 6754, 12921, 1844, 515, 1547, 3371, 267, 693, 519, 4099, 540, 782, 2797, 1272, 538, 5125, 693, 602, 942, 267, 519, 5428, 11861, 548, 543, 519, 10761, 941, 1034, 10795, 282, 9747, 519, 7368, 6084, 6699, 267, 1851, 799, 519, 835, 538, 519, 590, 778, 11420, 27346, 523, 8664, 593, 5147, 476, 278, 628, 543, 476, 279, 628, 267, 476, 7277, 279, 267, 543, 602, 540, 5181, 476 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 6453, 4294, 2066, 519, 23525, 540, 519, 26534, 269, 630, 9288, 25979, 538, 5292, 339, 994, 4306, 7968, 476, 272, 281, 22417, 18452, 4433, 264, 547, 12476, 5149, 454, 306, 4405, 566, 1699, 281, 476, 271, 269, 4905, 2549, 335, 699, 25341, 476, 271, 269, 4905, 2549, 335, 699, 3143, 23586, 22490, 454, 14157, 5653, 2066, 26534, 281, 476, 1911, 5292, 339, 25341, 476, 1911, 5292, 339, 3143, 23586, 22490, 454, 4306, 7968, 476, 273, 281, 21414, 16754, 454, 27802, 23082, 18452, 18880, 538, 16754, 454, 2839, 815, 1772, 16732, 324, 22677, 309, 323, 270, 271, 269, 271, 2918, 9984, 272, 264, 25341, 476, 271, 269, 4905, 16732, 324, 22677, 1911, 270, 271, 269, 271, 2918, 9984, 272, 994, 24066, 15070, 3267, 4429, 2839, 815, 3980, 508, 454, 4306, 7968, 476, 274, 281, 22417, 28088, 547, 19243, 781, 5149, 454, 31236, 2549, 335, 699, 25341, 3143, 23586, 22490, 454, 31236, 2549, 335, 699, 2999, 734, 667, 1675, 324, 7351, 454, 263, 15612, 566, 6192, 538, 476, 876, 269, 23669, 7643, 2020, 1012, 2999, 476, 1015, 266, 9978, 22997, 6726, 2209, 692, 3519, 2265, 2032, 538, 15373, 832, 538, 2474, 540, 10688, 540, 9211, 543, 9475, 454, 17238, 2032, 815, 24517, 1674, 540, 9211, 538, 519, 26634, 6512, 265, 314, 2419, 1618, 3887, 30297, 300, 984, 1006, 540, 9475, 266, 28899, 640, 15298, 6475, 5834, 265, 314, 2419, 1618, 3887, 30297, 300, 984, 1006, 540, 6475, 3619, 454, 4504, 337, 13917, 5834, 454, 842, 337, 13917, 6831, 541, 8175, 318, 935, 1417, 1674, 815, 21762, 18154, 4141, 2310, 1644, 547, 1808, 19202, 16732, 307, 17687, 8203, 274, 265, 324, 317, 24179, 306, 2438, 13503, 528, 6512, 326, 777, 1648, 14370, 273, 265, 314, 289, 27117, 313, 30297, 307, 17687, 30727, 3619, 454, 3519, 2265, 2032, 540, 16312, 13917, 19202, 585, 533, 15178, 454, 17238, 2032, 15058, 318, 2169, 337, 13917, 26000, 6193, 13503, 832, 5332, 25292, 815, 20504, 528, 5834, 265, 314, 2419, 1618, 3887, 30297, 300, 984, 1006, 540, 6475, 3619, 454, 3519, 2265, 2032, 540, 16312, 13917, 15373, 832, 585, 562, 15178, 454, 17238, 2032, 15058, 318, 2169, 337, 13917, 26000, 6193, 13503, 832, 7272, 25292, 815, 5213, 528, 5834, 265, 314, 2419, 1618, 3887, 30297, 300, 984, 1006, 540, 9475, 3619, 454, 28899, 640, 15298, 5834, 538, 513, 590, 2438, 13503, 528, 454, 332, 1994, 640, 6831, 541, 8175, 318, 19491, 1258, 318, 935, 1417, 1674, 815, 630, 4504, 337, 13917, 15298, 5834, 8203, 273, 270, 14737, 528, 640, 15298, 5834, 3619, 454, 16978, 1258, 18236, 3259, 538, 2474, 540, 11005, 942, 454, 19491, 1258, 5091, 858, 4288, 28747, 815, 21762, 263, 16978, 1258, 5262, 4288, 19693, 265, 9824, 1314, 566, 942, 264, 3619, 454, 3519, 2265, 2032, 538, 8407, 538, 2474, 540, 1297, 540, 9211, 454, 17238, 2032, 815, 7089, 540, 5082, 6425, 265, 300, 984, 1006, 540, 6475, 265, 314, 2419, 1618, 3887, 316, 3619, 454, 292, 14852, 781, 17817, 454, 14179, 5653, 318, 3225, 20884, 15058, 4671, 17687, 815, 5082, 1258, 5262, 4288, 19693, 19072, 984, 1006, 540, 6475, 3619, 454, 300, 984, 1006, 540, 513, 5279, 19057, 454, 332, 984, 1006, 15058, 318, 8408, 6831, 541, 13205, 815, 3220, 3424, 20653, 6290, 270, 25821, 2361, 8515, 3619, 454, 307, 615, 7356, 30579, 610, 6453, 6697, 540, 2837, 454, 31516, 318, 14179, 5653, 815, 18323, 270, 14138, 876, 3619, 692, 2162, 667, 1675, 324, 17817, 538, 2474, 540, 25294, 1699, 16754, 692, 323, 1675, 324, 318, 9690, 815, 590, 4405, 566, 1699, 16732, 324, 22677, 14157, 5653, 2066, 26534, 270, 271, 269, 271, 2918, 9984, 272, 994, 2839, 815, 1772, 16732, 324, 22677, 309, 323, 270, 271, 269, 271, 2918, 9984, 272, 2020, 1012, 1215, 798, 26534, 960, 2496, 763, 1034, 1455, 1599, 540, 513, 26534, 568, 547, 1450, 606, 3167, 1699, 547, 1780, 538, 835, 4287, 630, 21406, 519, 26534, 781, 4464, 4287, 264, 1247, 17527, 621, 538, 519, 6587, 4287, 630, 1492, 9258, 4287, 1040, 3267, 22553, 540, 6439, 13294, 267, 1019, 3941, 666, 581, 1031, 585, 971, 4247, 607, 25935, 25244, 689, 5925, 6786, 538, 5925, 2256, 1392, 780, 1012, 1215, 547, 12433, 667, 1675, 324, 17817, 538, 2474, 540, 25294, 1699, 2496, 291, 1675, 324, 17817, 538, 2474, 540, 25294, 1699, 9498, 3096, 26534, 318, 9690, 815, 590, 4405, 566, 1699, 16732, 324, 22677, 14157, 5653, 2066, 26534, 270, 271, 269, 271, 2918, 9984, 272, 264, 547, 5173, 519, 667, 1675, 324, 7351, 267, 634, 667, 1675, 324, 17817, 538, 2474, 540, 25294, 1699, 3947, 606, 4082, 585, 519, 1699, 998, 513, 26534, 607, 513, 1599, 540, 6453, 269, 898, 568, 8200, 593, 519, 3926, 2837, 269, 667, 1675, 324, 7351, 543, 568, 20922, 676, 9517, 3090, 780, 1692, 547, 5173, 667, 1675, 324, 17817, 538, 2474, 540, 25294, 1699, 1210, 713, 2228, 9498, 286, 1677, 946, 713, 2228, 9498, 585, 667, 1675, 324, 17817, 538, 2474, 540, 25294, 1699, 267, 4283, 590, 4405, 566, 1699, 630, 3674, 264, 543, 30579, 2066, 26534, 630, 309, 323, 264, 543, 5734, 519, 5173, 7735, 269, 3371, 568, 875, 519, 667, 1675, 324, 17817, 538, 2474, 540, 25294, 1699, 9819, 666, 581, 6045, 609, 2016, 3403, 2418, 9847, 3980, 508, 815, 476, 271, 269, 4905, 16732, 324, 22677, 1911, 270, 271, 269, 271, 2918, 9984, 272, 6393, 2162, 14174, 304, 692, 1432, 568, 667, 1675, 324, 17817, 538, 2474, 540, 25294, 1699, 888, 763, 667, 1675, 324, 17817, 538, 2474, 540, 25294, 1699, 3947, 606, 4082, 585, 519, 1699, 998, 513, 26534, 607, 513, 1599, 540, 6453, 269, 898, 568, 8200, 593, 519, 3926, 2837, 543, 568, 6719, 607, 9517, 815, 1772, 16732, 324, 22677, 309, 323, 270, 271, 269, 271, 2918, 9984, 272, 264, 610, 26534, 318, 9690, 815, 590, 4405, 566, 1699, 16732, 324, 22677, 14157, 5653, 2066, 26534, 270, 271, 269, 271, 2918, 9984, 272, 1040, 590, 4405, 566, 1699, 568, 519, 26534, 24694, 1699, 5860, 538, 519, 9000, 540, 1769, 269, 898, 568, 606, 1271, 9936, 799, 1114, 28179, 835, 26534, 689, 1776, 543, 30579, 2066, 26534, 568, 519, 6453, 4294, 2066, 519, 23525, 540, 519, 26534, 563, 1692, 547, 5173, 667, 1675, 324, 17817, 538, 2474, 540, 25294, 1699, 888, 763, 667, 1675, 324, 17817, 538, 2474, 540, 25294, 1699, 3947, 606, 4082, 585, 519, 1699, 998, 513, 26534, 607, 513, 1599, 540, 6453, 269, 898, 568, 8200, 593, 519, 3926, 2837, 568, 7229, 1210, 26534, 318, 9690, 815, 590, 4405, 566, 1699, 16732, 324, 22677, 14157, 5653, 2066, 26534, 270, 271, 269, 271, 2918, 9984, 272, 1040, 1677, 5173, 667, 1675, 324, 17817, 538, 2474, 540, 25294, 1699, 267, 596, 991, 590, 4405, 566, 1699, 630, 3674, 264, 543, 30579, 2066, 26534, 630, 309, 323, 1040, 2060, 938, 1907, 267, 596, 991, 547, 4283, 519, 9757, 1871, 585, 590, 4405, 566, 1699, 543, 30579, 2066, 26534, 543, 5734, 519, 5173, 7735, 269, 1411, 666, 849, 2824, 519, 4559, 630, 604, 1022, 264, 585, 18452, 4433, 264, 543, 519, 19243, 607, 1134, 563, 1692, 1082, 2081, 616, 972, 547, 5173, 667, 1675, 324, 7351, 888, 1103, 713, 4542, 267, 667, 1675, 324, 7351, 3096, 590, 4405, 566, 1699, 543, 30579, 2066, 26534, 269, 1284, 666, 946, 476, 1015, 824, 1259, 4433, 264, 547, 5173, 519, 1482, 267, 799, 568, 270, 732, 607, 5205, 20620, 1892, 8143, 318, 14179, 5653, 815, 18323, 270, 14138, 876, 454, 1892, 10688, 15058, 318, 8408, 6831, 541, 13205, 815, 3220, 3424, 20653, 6290, 270, 25821, 2361, 8515, 454, 1892, 5354, 6831, 541, 8175, 318, 19491, 1258, 318, 935, 1417, 1674, 815, 630, 4504, 337, 13917, 15298, 5834, 8203, 273, 270, 14737, 528, 640, 15298, 5834, 454, 1892, 17271, 6831, 541, 8175, 318, 935, 1417, 1674, 815, 21762, 18154, 4141, 2310, 1644, 547, 1808, 19202, 16732, 307, 17687, 8203, 274, 265, 324, 317, 24179, 306, 2438, 13503, 528, 6512, 326, 777, 1648, 14370, 273, 265, 314, 289, 27117, 313, 30297, 307, 17687, 21875, 1892, 6453, 318, 3225, 20884, 15058, 4671, 17687, 815, 5082, 1258, 5262, 4288, 19693, 19072, 984, 1006, 540, 6475, 454, 1892, 6475, 5091, 858, 4288, 28747, 815, 21762, 263, 16978, 1258, 5262, 4288, 19693, 265, 9824, 1314, 566, 942, 994, 1892, 19428, 815, 7089, 540, 5082, 6425, 265, 300, 984, 1006, 540, 6475, 265, 314, 2419, 1618, 3887, 2639, 1892, 19428, 815, 24517, 1674, 540, 9211, 538, 519, 26634, 6512, 265, 314, 2419, 1618, 3887, 30297, 300, 984, 1006, 540, 9475, 266, 28899, 640, 15298, 6475, 5834, 265, 314, 2419, 1618, 3887, 30297, 300, 984, 1006, 540, 6475, 454, 1892, 19428, 15058, 318, 2169, 337, 13917, 26000, 6193, 13503, 832, 7272, 25292, 815, 5213, 528, 5834, 265, 314, 2419, 1618, 3887, 30297, 300, 984, 1006, 540, 9475, 454, 1892, 19428, 15058, 318, 2169, 337, 13917, 26000, 6193, 13503, 832, 5332, 25292, 815, 20504, 528, 5834, 265, 314, 2419, 1618, 3887, 30297, 300, 984, 1006, 540, 6475, 454, 8489, 568, 519, 667, 1675, 324, 17817, 538, 2474, 540, 25294, 1699, 9498, 1031, 888, 16449, 1082, 267, 667, 1675, 324, 17817, 538, 2474, 540, 25294, 1699, 9498, 568, 4922, 1031, 538, 1483, 1272, 3156, 899, 2715, 13528, 3121, 308, 4513, 20467, 3371, 616, 1906, 811, 1483, 1272, 1806, 20620, 346, 13528, 3121, 14300, 8266, 8679, 4131, 11524, 5700, 0, 736, 2474, 692, 258, 4569, 4938, 918, 10620, 692, 13043, 4938, 269, 3184, 476, 277, 454, 30607, 623, 6369, 312, 454, 19668, 454, 1103, 513, 2600, 8167, 519, 2898, 844, 534, 640, 610, 519, 1297, 547, 799, 519, 1612, 568, 1373, 3379, 3267, 4820, 936, 30269, 454, 29589, 2472, 454, 604, 513, 11305, 815, 536, 7933, 1287, 740, 284, 25900, 454, 4134, 12248, 454, 1492, 2179, 676, 799, 519, 2834, 3902, 540, 606, 6221, 568, 4389, 454, 23024, 14939, 5506, 454, 6343, 2965, 1624, 999, 538, 5506, 4603, 454, 719, 3699, 454, 335, 6372, 2164, 540, 513, 5506, 2680, 454, 704, 1417, 454, 320, 5223, 602, 19776, 513, 1297, 547, 476, 1911, 454, 704, 1417, 3830, 454, 2304, 6697, 1106, 540, 2600, 8167, 1141, 4939, 568, 2854, 607, 513, 8918, 12815, 815, 2600, 1535, 3490, 454, 704, 1417, 540, 1689, 454, 1492, 5223, 540, 519, 2333, 610, 6175, 540, 606, 2179, 547, 519, 3312, 2179, 454, 704, 1417, 8167, 454, 821, 540, 519, 2338, 1572, 519, 2250, 568, 1373, 3379, 547, 519, 2898, 2298, 1572, 519, 3490, 269, 12815, 11486, 848, 284, 2600, 270, 1911, 610, 513, 11486, 284, 279, 270, 1911, 454, 22238, 1464, 454, 1492, 5223, 540, 519, 2338, 540, 2081, 513, 1978, 2680, 666, 3920, 547, 519, 1297, 540, 2009, 4093, 269, 623, 16216, 1203, 6661, 8356, 574, 828, 540, 15028, 4093, 14672, 3784, 540, 2009, 4093, 454, 2889, 15251, 454, 320, 3948, 540, 7862, 540, 1079, 610, 811, 678, 725, 513, 11486, 284, 322, 7933, 454, 7806, 1470, 454, 320, 6476, 540, 1079, 2338, 6498, 454, 338, 2217, 2230, 454, 1492, 1305, 540, 782, 2009, 4093, 454, 29173, 454, 1492, 2078, 1063, 519, 6482, 593, 513, 521, 3863, 532, 610, 2203, 543, 519, 1687, 584, 906, 540, 519, 1483, 1843, 454, 29173, 5373, 610, 4336, 2203, 454, 320, 5373, 602, 568, 1031, 547, 1065, 525, 550, 606, 1843, 602, 568, 1932, 3138, 1618, 610, 1932, 1507, 269, 547, 581, 6537, 693, 4890, 2450, 563, 29173, 3815, 454, 1492, 5223, 540, 513, 3259, 593, 513, 4336, 5373, 2203, 547, 519, 7222, 13080, 593, 519, 1483, 1073, 329, 2169, 454, 13678, 921, 2680, 454, 3080, 6364, 610, 513, 4015, 540, 4093, 563, 13678, 921, 1719, 454, 763, 2179, 540, 2724, 6976, 610, 12236, 585, 519, 946, 540, 2724, 454, 1492, 648, 3749, 5506, 454, 1432, 1058, 2049, 538, 513, 5506, 4603, 454, 22780, 2557, 454, 15290, 513, 2557, 568, 16866, 865, 602, 621, 814, 513, 14009, 540, 476, 272, 0, 8698, 796, 753, 26833, 9708, 1923, 7348, 3742, 3584, 898, 568, 4867, 11205, 4924, 476, 2641, 267, 476, 1001, 279, 476, 274, 281, 6187, 993, 7602, 494, 1109, 12988, 547, 519, 2836, 322, 644, 18602, 11015, 2985, 692, 8525, 476, 272, 540, 476, 272, 1496, 476, 272, 2022, 23378, 7179, 2070, 19881, 1888, 1923, 8921, 1888, 454, 15031, 1181, 539, 476, 280, 1535, 476, 280, 267, 476, 4029, 2904, 476, 1001, 277, 454, 12041, 24606, 692, 16829, 593, 281, 11205, 9947, 476, 4905, 267, 476, 1001, 277, 476, 1556, 281, 6795, 10681, 692, 15803, 281, 476, 4350, 454, 16274, 281, 570, 826, 2904, 476, 2190, 267, 476, 1001, 272, 476 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10991, 29370, 756, 637, 676, 9849, 1312, 19135, 543, 1875, 342, 8576, 10551, 13968, 585, 1279, 5712, 540, 942, 3034, 11693, 519, 5691, 1875, 7721, 11962, 3463, 5046, 13514, 547, 873, 267, 1946, 1131, 649, 1616, 547, 3196, 13968, 5196, 938, 1453, 585, 6905, 5712, 540, 942, 286, 0, 3963, 3657, 3733, 29726, 13068, 2311, 634, 645, 18847, 454, 5938, 996, 602, 616, 12001, 5815, 19596, 2530, 543, 949, 1291, 547, 8374, 899, 32396, 610, 13365, 563, 9989, 29392, 2037, 14712, 22320, 7982, 454, 2414, 1054, 19596, 568, 519, 23698, 6219, 538, 707, 1560, 269, 898, 14014, 596, 689, 3544, 6285, 543, 8952, 5694, 9178, 693, 15922, 676, 21716, 1034, 540, 621, 267, 855, 950, 972, 779, 3441, 593, 1283, 540, 713, 4027, 1107, 1100, 2179, 666, 11177, 1018, 729, 4503, 454, 300, 843, 569, 268, 8697, 4522, 949, 2154, 2370, 5826, 899, 17678, 1419, 610, 1210, 21973, 5532, 2472, 1169, 1554, 282, 2705, 6793, 2665, 786, 991, 811, 3007, 4470, 2390, 875, 1454, 7777, 1543, 789, 1185, 25656, 630, 663, 2436, 610, 711, 264, 9767, 2461, 8348, 547, 2322, 8521, 883, 19620, 873, 563, 1692, 1677, 674, 1460, 29726, 9453, 2037, 14712, 454, 5278, 1004, 616, 4535, 1510, 19596, 593, 741, 4522, 267, 799, 3762, 873, 693, 1981, 585, 5959, 2042, 269, 1403, 596, 723, 713, 1966, 543, 707, 11290, 15565, 602, 835, 540, 891, 5574, 581, 1031, 538, 1931, 2149, 519, 5694, 689, 2417, 9178, 610, 1118, 621, 1413, 1732, 609, 31750, 270, 1597, 32580, 1287, 3346, 721, 2221, 2336, 1692, 1677, 674, 1460, 25927, 1075, 550, 29726, 28900, 454, 23763, 547, 917, 519, 5728, 540, 875, 596, 666, 723, 707, 5694, 19596, 1332, 1394, 286, 4270, 267, 19890, 585, 1346, 945, 616, 7508, 741, 4503, 4522, 610, 952, 621, 779, 1044, 2144, 10757, 1813, 547, 9178, 27351, 6748, 4551, 538, 1426, 899, 9174, 568, 711, 2469, 581, 2111, 11177, 2933, 609, 1175, 930, 5023, 31683, 563, 1692, 1677, 5269, 3733, 29726, 16200, 518, 454, 21918, 527, 707, 24494, 3536, 543, 10425, 267, 1832, 19659, 693, 15922, 609, 519, 1318, 2732, 269, 29318, 3049, 593, 4006, 689, 891, 3688, 865, 789, 2461, 1655, 14284, 952, 596, 1616, 2635, 4522, 256, 1403, 621, 779, 711, 2009, 585, 835, 547, 2057, 782, 6653, 1919, 1287, 2119, 12145, 3054, 607, 1454, 607, 2009, 282, 713, 1259, 4551, 666, 1406, 1205, 1022, 32351, 2877, 585, 741, 1332, 2195, 538, 938, 5023, 263, 6518, 1223, 1291, 1932, 2042, 1040, 5502, 540, 936, 1532, 337, 5241, 946, 21973, 26025, 610, 4019, 930, 17310, 3282, 5196, 26814, 1354, 6165, 1700, 10472, 814, 1044, 3254, 581, 3833, 5363, 950, 8165, 1996, 10733, 2068, 1813, 1416, 16531, 1247, 17678, 563, 1692, 1677, 1234, 28265, 2037, 14712, 2201, 29726, 454, 2414, 1054, 19596, 267, 519, 23698, 6219, 538, 707, 5023, 568, 8697, 950, 596, 3548, 610, 4235, 1945, 3905, 269, 898, 3112, 581, 17468, 855, 18604, 8747, 666, 1869, 4309, 930, 948, 689, 21491, 770, 525, 543, 5023, 342, 10449, 799, 3565, 547, 1121, 514, 1968, 1436, 676, 3246, 6886, 585, 6793, 4522, 2336, 1692, 1677, 29766, 29392, 2037, 14712, 454, 4415, 25460, 14712, 10378, 267, 596, 666, 11453, 2476, 5694, 9178, 543, 7794, 707, 19596, 609, 1169, 8482, 269, 19239, 1235, 4363, 713, 6216, 585, 922, 2702, 547, 23309, 2620, 883, 519, 9018, 4494, 540, 938, 5023, 1141, 621, 24515, 1996, 4551, 602, 3123, 15799, 19221, 593, 4522, 267, 3056, 721, 2509, 10733, 2068, 610, 19659, 607, 1134, 2336, 299, 1601, 2986, 2037, 14712, 2201, 13571, 29726, 454, 2414, 1054, 11761, 666, 581, 3361, 676, 519, 1739, 281, 2348, 1932, 1082, 2571, 10425, 267, 799, 723, 6266, 540, 8485, 7595, 543, 3632, 878, 7408, 269, 29318, 538, 707, 5023, 8853, 593, 4006, 282, 789, 1118, 7408, 602, 3548, 2476, 693, 19596, 936, 942, 1107, 1256, 952, 596, 1810, 1406, 5469, 1022, 2589, 693, 1101, 2336, 2414, 1054, 3171, 1564, 681, 965, 2060, 26280, 826, 454, 7312, 4522, 666, 1745, 11315, 547, 519, 5905, 952, 596, 723, 15799, 610, 25188, 541, 269, 1773, 12120, 568, 7363, 2653, 2614, 585, 1034, 1004, 547, 11453, 2476, 267, 855, 621, 3580, 1491, 513, 11290, 779, 948, 538, 1931, 1205, 7759, 540, 713, 2182, 6219, 1572, 968, 339, 691, 541, 1848, 1879, 972, 568, 1932, 1454, 3710, 909, 593, 938, 5959, 6676, 9476, 630, 553, 10353, 547, 3388, 1373, 2973, 1070, 1287, 649, 616, 11630, 711, 1152, 10733, 2068, 855, 849, 5694, 9178, 799, 5012, 2047, 883, 9561, 835, 610, 811, 1271, 15400, 2818, 1055, 1018, 941, 2907, 4617, 569, 6870, 19596, 7252, 2336, 3963, 3657, 3733, 4132, 24912, 29726, 14117, 454, 30144, 4522, 616, 1271, 585, 513, 2635, 1560, 269, 1403, 707, 1126, 779, 4522, 5749, 1406, 1373, 1490, 19813, 693, 2547, 7466, 513, 1554, 267, 1287, 519, 4551, 23752, 15799, 543, 25188, 541, 630, 14551, 2989, 264, 593, 741, 15090, 569, 16543, 666, 1106, 3533, 269, 634, 9875, 713, 2339, 3587, 547, 4894, 609, 17678, 610, 16150, 532, 2553, 282, 621, 786, 4482, 25859, 689, 3536, 899, 10433, 799, 1223, 23209, 528, 873, 607, 1134, 256, 0, 8110, 8327, 531, 16050, 2068, 630, 303, 4696, 264, 3123, 513, 32560, 540, 16209, 538, 519, 17873, 602, 616, 711, 2673, 547, 519, 4099, 540, 519, 1560, 267, 971, 607, 519, 7953, 543, 3952, 269, 1452, 16209, 267, 799, 4163, 1973, 689, 519, 2295, 267, 1831, 17808, 676, 513, 19221, 540, 15799, 543, 3112, 5838, 7850, 1973, 3761, 547, 6091, 543, 8031, 269, 901, 666, 1267, 538, 4887, 16081, 4771, 1247, 16706, 630, 743, 7596, 1709, 264, 602, 1281, 711, 979, 2476, 1310, 596, 3247, 269, 1411, 949, 849, 1995, 3500, 13463, 2718, 3723, 16398, 543, 14887, 2208, 540, 1850, 4552, 543, 547, 523, 5661, 269, 634, 2960, 593, 707, 7953, 949, 849, 723, 513, 21743, 5920, 269, 623, 4696, 568, 5732, 5906, 1317, 621, 4679, 519, 1981, 540, 513, 2295, 4323, 610, 8482, 269, 4746, 267, 5160, 799, 1281, 711, 4309, 2614, 1973, 666, 1831, 7783, 610, 5884, 630, 32184, 16867, 264, 799, 267, 2451, 15860, 267, 949, 1291, 547, 513, 1272, 18446, 1973, 3968, 1572, 25687, 269, 898, 568, 1271, 547, 2628, 3007, 543, 1294, 513, 10540, 9332, 2077, 952, 707, 1560, 3947, 596, 1022, 9963, 4191, 540, 623, 4696, 563, 8110, 8327, 531, 16050, 2068, 666, 10460, 513, 3978, 1981, 547, 707, 1072, 269, 898, 666, 2333, 519, 1981, 540, 8482, 543, 2295, 4323, 269, 1403, 596, 723, 2589, 540, 15672, 16050, 2068, 267, 5077, 609, 835, 540, 938, 10540, 9332, 28748, 689, 2372, 611, 20079, 14272, 543, 1323, 330, 548, 4889, 919, 269, 3776, 7189, 786, 2708, 707, 2783, 543, 1683, 596, 609, 2298, 3723, 543, 21721, 2126, 563, 8110, 8327, 531, 16050, 2068, 630, 303, 4696, 264, 568, 950, 16209, 616, 1526, 24071, 1813, 547, 15799, 630, 325, 520, 1399, 12074, 264, 1628, 5346, 269, 901, 2164, 538, 1447, 1973, 2095, 547, 519, 7953, 543, 824, 17119, 885, 269, 634, 1292, 2014, 540, 623, 4696, 568, 19473, 29912, 267, 538, 799, 15799, 13976, 909, 538, 519, 16209, 563, 21618, 540, 623, 4696, 1331, 912, 268, 19863, 1709, 630, 5586, 1928, 689, 6972, 994, 268, 715, 3518, 1145, 538, 7953, 454, 268, 28206, 848, 538, 2208, 540, 1850, 4552, 543, 547, 523, 5661, 454, 268, 6022, 8864, 540, 519, 2960, 454, 268, 661, 5550, 850, 14524, 454, 268, 1924, 637, 543, 16398, 593, 7953, 543, 3952, 602, 4465, 1406, 12115, 454, 268, 12019, 1145, 538, 835, 1850, 454, 2005, 568, 1271, 547, 4063, 602, 513, 5354, 540, 2043, 2760, 1397, 1022, 2589, 540, 623, 4696, 563, 4407, 623, 4696, 4386, 538, 519, 7953, 543, 16209, 267, 23093, 9332, 28748, 666, 13209, 623, 4696, 269, 23093, 9332, 28748, 8415, 513, 1449, 1572, 606, 21721, 1532, 571, 577, 658, 4994, 630, 5723, 296, 1040, 1323, 9474, 296, 1449, 19776, 1973, 2604, 538, 707, 6186, 547, 596, 21721, 547, 1294, 952, 1022, 25983, 1275, 4386, 269, 8299, 14647, 543, 9196, 3457, 949, 849, 581, 1031, 563, 293, 6136, 267, 6197, 2242, 971, 607, 4509, 513, 2635, 2732, 267, 16706, 267, 5883, 8501, 543, 1973, 4006, 2157, 267, 543, 29655, 7296, 267, 666, 782, 1521, 623, 4696, 269, 5709, 725, 602, 2061, 28163, 689, 9648, 666, 581, 11311, 269, 7053, 267, 538, 930, 2665, 267, 6391, 949, 581, 5227, 563, 2252, 596, 723, 1022, 2055, 267, 5225, 1745, 1863, 547, 3346, 938, 13646, 4092, 538, 5096, 523, 1636, 267, 543, 1546, 310, 8636, 267, 29722, 543, 9412, 6816, 267, 14889, 1547, 1284, 2709, 519, 21777, 10368, 543, 2126, 4066, 585, 782, 707, 3723, 1416, 2115, 19403, 811, 827, 3131, 8327, 531, 1488, 6670, 8376, 0, 763, 5842, 12770, 4972, 540, 5398, 2657, 630, 306, 293, 7894, 295, 264, 543, 922, 1072, 1062, 4891, 616, 11173, 547, 17982, 5046, 268, 866, 6669, 13066, 547, 2043, 476, 276, 547, 476, 1556, 1296, 540, 2085, 269, 634, 5253, 543, 10684, 10029, 630, 293, 6395, 264, 1185, 17101, 519, 26172, 6500, 5174, 1470, 24728, 6669, 585, 713, 2085, 1895, 538, 5239, 476, 1708, 272, 563, 22137, 723, 3254, 519, 26172, 6500, 6669, 568, 1360, 2500, 538, 7303, 5046, 268, 866, 5563, 543, 6721, 8825, 12489, 538, 14038, 269, 6258, 811, 689, 519, 15509, 827, 519, 2640, 540, 3478, 513, 6669, 630, 292, 4944, 320, 10722, 565, 1923, 22614, 362, 478, 12916, 497, 18809, 24757, 1923, 23621, 17554, 379, 978, 22870, 12782, 485, 339, 1923, 476, 17432, 506, 422, 369, 511, 424, 500, 368, 1916, 292, 5554, 1043, 2043, 1058, 979, 1101, 547, 741, 1072, 1416, 8502, 952, 789, 723, 835, 267, 610, 26849, 563, 15987, 930, 4609, 1522, 1491, 6749, 15564, 267, 2043, 609, 20499, 723, 10862, 563, 8923, 2638, 521, 325, 10993, 270, 1326, 341, 3147, 3990, 610, 1289, 476, 277, 2764, 268, 4792, 273, 268, 17734, 271, 547, 1265, 513, 12674, 3135, 563, 10144, 896, 476, 1240, 991, 10479, 689, 513, 2385, 610, 27369, 547, 581, 18764, 267, 4849, 896, 1978, 3908, 6381, 563, 306, 293, 4785, 291, 786, 3136, 2324, 5702, 609, 24700, 7894, 295, 547, 2327, 602, 10074, 616, 1863, 543, 3015, 547, 14718, 2043, 547, 1832, 938, 3506, 2922, 689, 5046, 268, 866, 269, 1280, 811, 1344, 593, 875, 547, 1569, 10074, 585, 476, 276, 547, 476, 1556, 1296, 2025, 267, 3643, 24700, 10993, 270, 1326, 341, 3147, 3990, 269, 0, 19185, 585, 606, 2626, 547, 519, 2243, 281, 1879, 1896, 5904, 4448, 547, 519, 4950, 723, 1044, 14764, 547, 4464, 28417, 543, 3006, 3644, 286, 2201, 713, 2985, 267, 649, 723, 10356, 585, 596, 519, 1034, 4977, 543, 3102, 1344, 602, 786, 4628, 2626, 519, 2243, 281, 1879, 1896, 5904, 4448, 547, 519, 4950, 723, 1044, 14764, 547, 4464, 28417, 543, 3006, 3644, 888, 2414, 1118, 2386, 519, 2823, 4464, 532, 4341, 568, 2324, 7157, 267, 519, 7379, 2232, 540, 519, 4341, 1058, 1448, 547, 519, 2780, 267, 610, 3684, 267, 596, 1616, 519, 4276, 547, 979, 547, 269, 2368, 3755, 723, 2322, 4950, 7379, 781, 538, 610, 1175, 519, 4636, 7379, 782, 1927, 630, 22746, 607, 8380, 741, 5904, 7379, 538, 950, 789, 1616, 519, 7379, 689, 741, 2473, 7901, 1916, 2304, 3498, 7400, 21285, 31216, 568, 1034, 17672, 547, 3060, 2773, 1317, 621, 3340, 811, 4393, 829, 17142, 269, 634, 17142, 1922, 559, 18146, 31216, 2488, 1164, 2773, 269, 3557, 995, 543, 5547, 7400, 21285, 3595, 31486, 267, 1247, 14887, 982, 17142, 1922, 559, 18146, 3595, 31486, 267, 2709, 1732, 2773, 982, 3498, 7400, 3595, 31486, 563, 763, 3710, 538, 8837, 31216, 666, 581, 513, 1928, 607, 1134, 267, 855, 7363, 1281, 711, 2014, 519, 2042, 602, 1082, 3593, 8704, 3301, 3595, 31486, 2014, 269, 1809, 2760, 519, 1447, 267, 1118, 2386, 519, 9486, 31216, 2636, 2901, 519, 2823, 610, 1982, 998, 607, 1134, 269, 1403, 519, 9486, 31216, 568, 18348, 539, 610, 7745, 713, 786, 1832, 2823, 4464, 532, 689, 2324, 607, 1134, 563, 2252, 596, 2461, 1869, 7680, 513, 3983, 4950, 4276, 1310, 3843, 519, 10372, 1657, 267, 707, 3060, 3556, 267, 18760, 610, 1110, 655, 949, 581, 26843, 269, 769, 713, 2013, 267, 1205, 513, 1007, 18760, 267, 1110, 655, 610, 3060, 3556, 543, 1294, 952, 519, 4276, 568, 1732, 563, 1103, 7384, 267, 513, 1990, 4861, 773, 568, 513, 2780, 4448, 547, 513, 3060, 602, 814, 1044, 19847, 676, 513, 11360, 518, 267, 513, 3644, 610, 513, 18858, 13568, 269, 898, 666, 581, 1031, 20716, 585, 17351, 4247, 269, 3267, 1358, 616, 849 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7907, 666, 7654, 693, 821, 563, 296, 1616, 547, 1294, 596, 3014, 267, 8695, 267, 594, 1616, 547, 1294, 596, 12703, 543, 812, 569, 267, 543, 594, 849, 1616, 547, 1294, 596, 9543, 543, 13035, 563, 2171, 786, 6494, 9635, 543, 3057, 1149, 607, 4166, 607, 2009, 585, 519, 4027, 540, 1977, 1272, 543, 3959, 563, 4131, 2367, 2769, 519, 7920, 25621, 267, 799, 594, 2671, 609, 782, 824, 4892, 267, 540, 519, 2594, 1500, 676, 519, 3057, 1149, 563, 8256, 3569, 1797, 1646, 607, 1454, 607, 621, 1281, 4027, 563, 8256, 3569, 1797, 1646, 607, 1454, 607, 621, 1281, 4027, 269, 594, 5431, 519, 1318, 543, 10279, 540, 713, 5108, 547, 1020, 543, 946, 519, 2067, 2200, 540, 938, 2244, 282, 855, 594, 798, 711, 5431, 519, 1318, 547, 3653, 873, 267, 610, 547, 3775, 267, 676, 3653, 995, 946, 267, 519, 5481, 602, 2097, 1310, 721, 563, 2467, 616, 1100, 1913, 602, 666, 2995, 519, 6456, 6891, 540, 519, 19069, 267, 602, 666, 7866, 922, 9814, 267, 922, 14264, 3273, 344, 543, 922, 19259, 563, 2467, 616, 1100, 1913, 602, 666, 2995, 519, 6456, 6891, 540, 519, 19069, 267, 602, 666, 7866, 922, 9814, 267, 922, 14264, 3273, 344, 543, 922, 19259, 269, 1703, 568, 513, 10508, 538, 519, 25836, 1272, 540, 519, 1930, 1862, 18766, 689, 713, 267, 2943, 544, 532, 1194, 609, 621, 267, 568, 519, 2178, 16007, 540, 519, 14980, 4025, 267, 540, 519, 1804, 21050, 545, 24262, 267, 543, 519, 26672, 528, 540, 519, 1007, 6801, 282, 1141, 519, 18389, 19907, 12034, 519, 1659, 995, 18710, 540, 3141, 23438, 543, 23863, 538, 519, 2647, 3653, 5624, 540, 519, 3618, 267, 7938, 1941, 540, 812, 267, 543, 4957, 1152, 676, 519, 3500, 1689, 540, 519, 6502, 998, 942, 2479, 331, 8463, 563, 9336, 1433, 540, 12485, 538, 519, 31458, 729, 538, 946, 689, 6640, 2394, 3781, 267, 543, 519, 10492, 543, 1875, 10687, 3939, 539, 10492, 941, 2141, 4974, 519, 2042, 4843, 693, 519, 3506, 563, 4407, 1250, 1719, 538, 2067, 1686, 814, 3773, 1360, 2370, 547, 1250, 2040, 540, 9740, 267, 621, 814, 3773, 1799, 29342, 12350, 569, 547, 1250, 2040, 540, 18399, 538, 1272, 563, 763, 5726, 540, 938, 2067, 2200, 543, 741, 1697, 946, 13822, 519, 4909, 1966, 799, 896, 15533, 3592, 1169, 824, 1966, 540, 938, 3084, 1272, 563, 2467, 2501, 513, 942, 538, 519, 1272, 540, 513, 4182, 267, 607, 538, 519, 1272, 540, 606, 1367, 267, 950, 621, 1590, 3068, 1390, 9021, 267, 2436, 621, 786, 610, 1100, 269, 1284, 723, 1631, 6603, 602, 942, 269, 1284, 3112, 2057, 6849, 519, 1249, 602, 649, 19582, 513, 1007, 1747, 1851, 519, 1004, 540, 519, 1158, 563, 5226, 4925, 676, 31187, 17619, 616, 12286, 538, 912, 2791, 23126, 30365, 0, 302, 4117, 674, 7037, 25052, 454, 288, 7849, 8827, 585, 23566, 4248, 21694, 454, 763, 7909, 674, 7037, 25052, 630, 29996, 294, 264, 568, 519, 5080, 325, 337, 3187, 7690, 779, 4264, 30120, 543, 2069, 1982, 602, 2488, 4190, 267, 20522, 543, 2067, 3435, 547, 2569, 26130, 20359, 543, 547, 1489, 14388, 5032, 338, 269, 769, 1840, 547, 3246, 3407, 1344, 547, 3959, 5411, 593, 875, 8916, 543, 22409, 7870, 666, 2061, 1216, 5533, 267, 5080, 325, 337, 3187, 11271, 616, 1210, 713, 1982, 547, 5000, 5251, 4648, 547, 6451, 519, 1982, 779, 3741, 883, 741, 1870, 2853, 269, 30667, 849, 946, 519, 1982, 547, 18663, 2199, 6608, 547, 1489, 5508, 294, 15129, 3609, 2242, 585, 4540, 543, 1007, 1646, 563, 306, 869, 519, 10046, 454, 29996, 294, 4441, 946, 513, 2470, 2861, 1935, 10876, 2009, 281, 26048, 532, 8916, 585, 24467, 12802, 282, 2870, 2713, 3037, 547, 26703, 909, 1216, 267, 19003, 5533, 267, 3524, 6856, 532, 3327, 282, 543, 16459, 2916, 29003, 1299, 5065, 2371, 547, 1711, 7320, 7226, 543, 513, 2631, 540, 1747, 563, 12850, 20359, 568, 519, 1948, 272, 2707, 540, 5836, 5533, 538, 4683, 2127, 454, 3528, 4509, 3039, 5624, 609, 1447, 13226, 543, 13830, 20359, 267, 7909, 674, 7037, 25052, 666, 948, 2061, 5739, 3473, 531, 18742, 543, 6882, 1216, 5533, 1354, 621, 10301, 938, 25825, 543, 15780, 269, 1306, 2916, 1689, 4679, 519, 8515, 543, 4908, 540, 5739, 3473, 531, 16036, 2621, 267, 621, 568, 811, 14849, 982, 2479, 547, 2569, 8770, 5533, 689, 938, 8916, 563, 763, 8109, 7043, 6816, 3184, 781, 6396, 626, 28818, 19777, 342, 1446, 19306, 24467, 1299, 20359, 1247, 4946, 5065, 7226, 543, 5898, 547, 519, 2146, 269, 6435, 12403, 731, 713, 543, 824, 5508, 294, 3785, 676, 24749, 609, 519, 20700, 296, 3184, 563, 8620, 13245, 1924, 2812, 543, 13363, 11162, 4826, 454, 19465, 26335, 609, 7111, 12518, 454, 268, 3212, 935, 545, 6363, 7037, 7233, 18482, 454, 268, 7043, 6816, 7111, 7233, 19541, 7111, 7233, 8249, 6651, 454, 268, 12924, 15636, 23307, 12567, 781, 14175, 12567, 7233, 6651, 454, 268, 7111, 12518, 585, 7043, 6816, 14175, 25052, 454, 268, 6258, 827, 5065, 2371, 593, 16047, 777, 4215, 454, 268, 3212, 935, 545, 6480, 4231, 781, 14175, 4446, 7758, 1234, 321, 622, 454, 268, 1548, 568, 513, 4764, 4677, 888, 268, 1215, 547, 556, 709, 974, 707, 17498, 335, 719, 0, 763, 2834, 946, 540, 29469, 814, 513, 1434, 10639, 585, 530, 8973, 1055, 2295, 2068, 267, 543, 1346, 945, 1491, 741, 3232, 9570, 949, 581, 3478, 606, 3606, 4324, 269, 1358, 949, 581, 7303, 519, 5920, 540, 4446, 21884, 779, 24647, 563, 288, 5266, 4686, 2783, 267, 538, 4446, 21884, 779, 24647, 3441, 4386, 547, 519, 1965, 23569, 16298, 267, 799, 568, 702, 5142, 727, 1317, 540, 922, 3095, 547, 1965, 23569, 2860, 563, 2108, 2026, 2869, 514, 946, 5526, 547, 2569, 519, 1981, 540, 4446, 21884, 779, 24647, 630, 23813, 1070, 892, 1767, 519, 1977, 30887, 10938, 1670, 5948, 538, 513, 5147, 476, 2537, 267, 476, 1001, 273, 267, 3377, 5305, 269, 634, 3948, 568, 1759, 593, 1382, 856, 540, 519, 12590, 4937, 11233, 4659, 585, 5303, 10495, 563, 7804, 269, 25590, 15049, 267, 1291, 2278, 540, 519, 1353, 267, 799, 5526, 538, 606, 589, 16598, 4760, 267, 1767, 519, 968, 23181, 633, 1198, 540, 29469, 946, 5526, 7347, 3034, 295, 584, 543, 1010, 2319, 540, 3173, 9916, 4162, 540, 476, 275, 4097, 18688, 2550, 585, 2188, 602, 1522, 581, 1031, 538, 9584, 543, 2359, 269, 769, 1840, 547, 4466, 602, 1346, 2921, 29469, 941, 476, 4510, 2600, 1447, 2693, 547, 723, 18688, 267, 789, 849, 1336, 602, 2367, 941, 811, 982, 1614, 2053, 811, 2693, 547, 1020, 18688, 982, 2021, 563, 23813, 568, 519, 4102, 1634, 1981, 3815, 585, 1965, 23569, 2860, 543, 267, 607, 519, 3377, 5305, 2798, 856, 267, 519, 11841, 540, 1965, 23569, 2860, 814, 1044, 2810, 693, 606, 24034, 2557, 1282, 519, 2250, 1906, 5756, 563, 9989, 713, 1611, 649, 782, 1058, 581, 2921, 29469, 593, 513, 2834, 4493, 888, 295, 584, 1443, 2478, 1996, 621, 952, 7303, 4446, 21884, 779, 24647, 568, 519, 1152, 3804, 563, 2108, 2414, 1376, 2921, 29469, 547, 2061, 4446, 21884, 779, 568, 4440, 711, 10853, 267, 543, 952, 602, 941, 519, 1152, 2601, 594, 8910, 581, 11688, 26938, 547, 4363, 621, 2223, 1767, 15049, 267, 606, 13930, 7548, 540, 4915, 693, 12370, 267, 538, 513, 2487, 1715, 3840, 8648, 1072, 6241, 563, 2108, 3719, 972, 616, 824, 23053, 585, 2921, 29469, 267, 15324, 2640, 585, 2860, 543, 2295, 2068, 3034, 763, 1353, 17099, 29469, 585, 32485, 519, 2504, 540, 2910, 311, 268, 273, 267, 606, 11747, 602, 12987, 6553, 543, 1928, 563, 1103, 4446, 21884, 779, 24647, 267, 519, 3339, 2695, 13904, 2281, 540, 519, 1965, 23569, 16298, 2490, 883, 8966, 6241, 541, 2281, 602, 17932, 519, 16298, 540, 519, 16892, 269, 634, 3441, 3006, 4386, 538, 1004, 609, 5312, 29463, 610, 12884, 525, 23569, 17406, 2068, 630, 294, 26314, 1916, 27832, 982, 476, 272, 2600, 540, 1346, 609, 4446, 21884, 779, 24647, 1020, 2860, 540, 519, 24647, 267, 2687, 547, 519, 1072, 5399, 540, 12590, 4937, 563, 21618, 540, 18688, 1331, 912, 268, 654, 1136, 538, 519, 3781, 689, 29463, 1928, 454, 268, 30975, 538, 24948, 454, 268, 10552, 538, 12154, 527, 610, 538, 22454, 454, 10303, 972, 568, 1100, 10826, 585, 18688, 267, 7189, 2490, 547, 6527, 971, 607, 670, 273, 13805, 21087, 1235, 543, 23442, 6802, 20127, 547, 2061, 2417, 3441, 547, 519, 16298, 563, 1103, 930, 2665, 267, 519, 2126, 1522, 1289, 585, 513, 10551, 5650, 1634, 607, 2508, 641, 997, 566, 630, 8145, 15772, 540, 513, 1507, 851, 540, 519, 24647, 264, 610, 513, 546, 7976, 4480, 602, 21040, 519, 6679, 540, 519, 24647, 563, 32247, 29463, 1058, 2141, 581, 11117, 676, 513, 1072, 1416, 19995, 267, 711, 1175, 1317, 540, 519, 7872, 540, 4446, 21884, 779, 24647, 563, 24916, 18688, 267, 1776, 1279, 3856, 28658, 602, 666, 8451, 689, 717, 26314, 267, 610, 5312, 29463, 267, 568, 1965, 15047, 4345, 267, 538, 799, 519, 1965, 23569, 16298, 568, 1641, 547, 2144, 657, 687, 610, 21385, 267, 3056, 547, 1928, 543, 11702, 563, 2710, 4701, 849, 1616, 547, 2638, 585, 7453, 999, 3361, 676, 3441, 547, 519, 16298, 267, 1317, 789, 666, 15936, 609, 3339, 4189, 543, 6704, 563, 2108, 289, 19128, 1777, 779, 10507, 20652, 1848, 12590, 4937, 11233, 267, 17148, 1299, 32192, 269, 5680, 269, 476, 277, 4864, 476, 1001, 273, 563, 289, 752, 531, 541, 267, 22956, 269, 968, 2026, 2869, 514, 2904, 10361, 5510, 10507, 20652, 13081, 1848, 634, 1715, 3840, 8648, 267, 968, 11039, 892, 6241, 269, 5680, 269, 476, 277, 4864, 476, 1001, 273, 563, 2108, 2026, 2869, 514, 13363, 338, 18830, 4446, 21884, 779, 10507, 20652, 1848, 1977, 30887, 10938, 1670, 5948, 3377, 5305, 269, 5680, 269, 476, 277, 4864, 476, 1001, 273, 563, 2108, 16524, 31645, 1290, 4124, 540, 717, 26314, 1848, 25350, 18669, 267, 15302, 1299, 17148, 269, 5680, 269, 476, 277, 4864, 476, 1001, 273, 563, 18800, 539, 4864, 476, 277, 267, 476, 1001, 273, 454, 2421, 631, 7865, 548, 2349, 2931, 6199, 681, 301, 454, 10955, 1243, 676, 808, 1328, 8055, 454, 11754, 513, 19410, 4467, 906, 454, 2467, 616, 1100, 8292, 2943, 269, 2142, 519, 1101, 835, 543, 1205, 519, 6643, 3323, 256, 0, 6011, 729, 519, 1100, 1695, 545, 26315, 7745, 454, 763, 1650, 540, 519, 18939, 540, 25424, 7475, 609, 513, 23892, 2680, 20515, 519, 4797, 4641, 540, 5609, 543, 18326, 538, 519, 2022, 4148, 797, 1158, 269, 634, 1152, 8231, 538, 25424, 779, 1101, 24969, 618, 568, 3616, 541, 894, 12462, 515, 786, 581, 519, 9803, 540, 10437, 2223, 711, 968, 16673, 646, 581, 519, 9803, 540, 10437, 25257, 1818, 519, 3616, 541, 894, 2631, 519, 1034, 2693, 269, 2859, 11932, 267, 2696, 16219, 547, 28099, 655, 3571, 1004, 998, 606, 8665, 945, 1131, 1832, 519, 26315, 540, 1568, 630, 7049, 269, 476, 274, 281, 1428, 282, 7931, 563, 28830, 1205, 865, 3983, 602, 2696, 16976, 547, 26763, 856, 519, 1480, 5198, 543, 1376, 936, 269, 769, 1840, 267, 12355, 3096, 519, 1482, 2262, 630, 336, 525, 515, 628, 264, 585, 968, 1778, 11312, 892, 543, 519, 14049, 1572, 513, 968, 11312, 892, 1317, 519, 22774, 779, 3337, 20998, 513, 6367, 609, 922, 5569, 593, 519, 2666, 269, 4014, 29383, 11478, 1063, 519, 15556, 540, 18832, 543, 519, 15556, 540, 519, 13131, 267, 519, 1964, 540, 5137, 7283, 22347, 1170, 633, 547, 8103, 269, 1703, 568, 606, 25031, 12402, 585, 930, 10271, 547, 2070, 20778, 538, 17033, 5289, 2474, 269, 4475, 267, 2760, 1586, 786, 594, 6861, 782, 1272, 607, 594, 723, 2944, 269, 634, 22774, 267, 13288, 547, 519, 25424, 728, 610, 3689, 595, 19879, 630, 7049, 8412, 476, 280, 1070, 568, 519, 3090, 540, 1082, 6896, 25424, 728, 2516, 267, 1739, 19606, 476, 280, 281, 1321, 1700, 1704, 269, 1215, 666, 596, 1201, 1393, 1862, 1284, 782, 723, 865, 1454, 547, 581, 9684, 995, 585, 269, 14088, 27136, 5674, 539, 543, 13264, 519, 26315, 540, 1568, 676, 4189, 540, 519, 3529, 540, 519, 1702, 540, 1434, 543, 9409, 269, 594, 6166, 1250, 26315, 609, 596, 602, 519, 6360, 31662, 786, 2760, 1586, 6146, 782, 7068, 543, 513, 6360, 786, 2760, 1586, 6861, 519, 3618, 1848, 267, 3973, 2696, 1767, 267, 968, 1607, 568, 519, 1129, 540, 519, 26315, 594, 993, 1818, 1063, 803, 543, 596, 543, 1169, 2713, 13442, 609, 596, 585, 782, 519, 5481, 547, 2097, 269, 1261, 786, 581, 519, 9803, 540, 10437, 547, 1010, 14552, 1848, 1261, 849 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2053, 609, 1808, 16264, 11775, 267, 1519, 930, 7286, 1272, 543, 5521, 2249, 269, 3958, 267, 29500, 267, 5097, 9141, 676, 519, 14965, 7485, 25116, 676, 1312, 519, 9855, 543, 6129, 267, 11385, 622, 11733, 1227, 1739, 519, 9855, 781, 3460, 2066, 519, 6607, 269, 26478, 12926, 8246, 16264, 30300, 1513, 7258, 3859, 3283, 950, 20319, 2030, 902, 543, 3771, 341, 3949, 1759, 593, 9228, 21374, 1063, 7693, 2208, 543, 9855, 7158, 780, 1103, 3932, 267, 11287, 519, 9855, 3091, 2484, 811, 982, 6071, 12716, 12257, 269, 1635, 29506, 1944, 922, 28023, 2623, 267, 3744, 666, 19586, 6946, 3877, 827, 922, 17027, 1686, 543, 4835, 2497, 269, 5047, 267, 9477, 16264, 11775, 5713, 607, 606, 5140, 7127, 3118, 883, 4974, 6626, 24666, 9259, 267, 5807, 7279, 543, 7071, 585, 519, 26355, 3564, 938, 5790, 269, 11569, 267, 1256, 2221, 267, 2230, 8041, 5001, 3136, 4058, 18951, 13485, 543, 2104, 1480, 29293, 547, 2417, 30881, 519, 28430, 27559, 540, 938, 14191, 18477, 13959, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 5970, 596, 8068, 875, 938, 9855, 2242, 5546, 2429, 519, 3923, 286, 769, 4641, 267, 519, 9855, 1281, 711, 2731, 1689, 3337, 269, 898, 1152, 4667, 547, 1689, 607, 621, 25057, 1472, 3047, 269, 1306, 513, 1267, 267, 649, 1294, 519, 3141, 26569, 13980, 8335, 269, 2334, 779, 1018, 3947, 721, 11775, 267, 899, 519, 14589, 532, 524, 29266, 7599, 269, 898, 779, 711, 519, 1152, 18477, 1560, 602, 7575, 269, 18421, 568, 538, 5163, 267, 543, 602, 1797, 519, 6129, 543, 3047, 1847, 1932, 563, 763, 9855, 3217, 519, 1482, 2179, 540, 942, 547, 17967, 593, 922, 7852, 607, 621, 1281, 547, 10739, 519, 3047, 269, 5221, 540, 713, 267, 621, 568, 22619, 958, 19526, 610, 835, 2427, 540, 621, 568, 2141, 6849, 938, 4541, 269, 901, 568, 3833, 1455, 1851, 1082, 2101, 24262, 538, 519, 3859, 1062, 563, 3080, 2427, 540, 519, 9855, 786, 2141, 581, 25139, 1247, 519, 824, 568, 538, 14334, 269, 2201, 3047, 267, 649, 1294, 1114, 13980, 540, 519, 25139, 2427, 607, 519, 9855, 25057, 1472, 519, 4541, 269, 901, 7805, 1689, 538, 3337, 568, 1572, 519, 16264, 4783, 563, 763, 9855, 4422, 998, 5216, 1114, 11775, 538, 519, 16264, 4783, 269, 901, 568, 513, 476, 3066, 269, 276, 6377, 1974, 602, 6238, 693, 1715, 9855, 267, 1287, 621, 556, 659, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 23945, 8767, 17325, 725, 257, 607, 851, 540, 834, 2793, 307, 13543, 1315, 21708, 9866, 3569, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 4495, 2390, 513, 942, 538, 513, 2244, 2484, 2476, 267, 972, 729, 513, 9589, 2030, 1572, 2052, 10109, 529, 945, 5030, 538, 513, 4190, 4677, 269, 3509, 1004, 1131, 2097, 547, 3643, 2052, 10109, 529, 1317, 621, 1500, 873, 1745, 6126, 543, 17159, 269, 1809, 3006, 267, 1004, 1131, 1205, 5645, 2476, 543, 1376, 1210, 1932, 1454, 540, 2052, 10109, 529, 262, 9059, 269, 901, 1500, 2052, 10109, 529, 8909, 267, 1317, 1256, 1498, 621, 6068, 4687, 922, 9059, 267, 621, 4769, 1405, 1616, 4896, 547, 1745, 796, 6202, 780, 3080, 1554, 267, 1079, 2828, 3957, 15207, 543, 22123, 10272, 519, 4677, 269, 1358, 4956, 547, 2119, 856, 2052, 10109, 529, 262, 9059, 1927, 269, 2311, 1101, 267, 789, 5433, 17254, 16744, 543, 17237, 630, 6518, 3025, 7125, 1412, 1492, 544, 4875, 625, 30670, 11981, 2933, 1360, 1454, 269, 1717, 267, 1310, 513, 1247, 267, 1919, 3323, 4657, 269, 15207, 3459, 7487, 9490, 1919, 543, 6217, 9739, 602, 14201, 1405, 2731, 972, 269, 1261, 2968, 18901, 543, 11821, 910, 713, 7012, 1405, 1018, 646, 1185, 4397, 256, 11531, 267, 22123, 729, 1869, 5386, 543, 1175, 4941, 547, 979, 1753, 269, 2701, 3576, 1416, 540, 1200, 3659, 15207, 543, 5280, 1864, 9350, 1524, 2394, 1010, 17559, 4606, 4682, 2476, 780, 2691, 789, 3893, 1394, 1753, 267, 22123, 5143, 1200, 3158, 827, 1018, 5949, 269, 4173, 3158, 6045, 602, 3006, 950, 1004, 946, 1932, 1454, 540, 1978, 2371, 899, 2052, 10109, 529, 267, 621, 949, 2014, 1945, 1572, 1412, 17595, 2670, 9538, 898, 1797, 741, 2634, 4991, 513, 2370, 6404, 909, 267, 1818, 873, 1294, 610, 5873, 1919, 602, 5749, 1405, 1483, 269, 16474, 15260, 3293, 15207, 543, 22123, 602, 2356, 267, 2899, 789, 3247, 1210, 602, 2030, 267, 3388, 4422, 1394, 547, 3339, 269, 1656, 9684, 2685, 267, 602, 781, 4010, 1018, 5949, 609, 15207, 2439, 300, 558, 1287, 3838, 1776, 1271, 3364, 281, 4634, 1498, 1082, 1004, 1589, 2052, 10109, 529, 1522, 1291, 547, 3843, 6793, 5061, 14693, 267, 3744, 10093, 1405, 8815, 593, 713, 1448, 2943, 269, 1924, 3079, 540, 20468, 827, 4742, 29279, 547, 3983, 8631, 267, 649, 991, 547, 3314, 938, 1582, 25298, 2706, 12741, 1107, 6616, 950, 547, 2161, 12971, 543, 1373, 3743, 3755, 2439, 2414, 1118, 2386, 9444, 540, 873, 2479, 8188, 971, 8373, 1586, 267, 16474, 6026, 873, 827, 1114, 5686, 540, 5363, 2371, 543, 741, 1318, 5666, 269, 3807, 899, 2348, 835, 23739, 3947, 721, 1648, 543, 2306, 721, 1745, 1434, 267, 4189, 4557, 12897, 786, 2285, 721, 6084, 3240, 31191, 269, 6684, 267, 1210, 513, 3787, 540, 2052, 10109, 529, 262, 9059, 6770, 8788, 267, 855, 936, 6748, 621, 949, 3142, 31604, 22649, 780, 5804, 1287, 593, 267, 8164, 15207, 543, 22123, 5129, 538, 519, 4677, 267, 789, 2141, 15422, 741, 9153, 547, 3251, 2922, 543, 5100, 269, 24269, 2576, 4280, 873, 952, 789, 4941, 547, 2119, 811, 982, 513, 6263, 3787, 540, 2052, 10109, 529, 267, 789, 24963, 1767, 267, 834, 5591, 267, 9684, 596, 2437, 19551, 602, 3020, 11505, 3322, 3168, 856, 585, 1142, 824, 780, 4517, 865, 267, 998, 2648, 267, 1620, 267, 543, 5539, 267, 789, 4121, 3407, 4245, 827, 6219, 6057, 1510, 1022, 2800, 2944, 269, 634, 1439, 780, 3086, 267, 15210, 1762, 5467, 267, 798, 596, 1174, 1946, 621, 781, 1898, 547, 2463, 782, 2713, 7919, 267, 1519, 6000, 286, 1403, 707, 2828, 2709, 596, 1945, 1007, 547, 3548, 610, 4235, 267, 786, 596, 3314, 547, 1152, 1491, 513, 2370, 11116, 610, 521, 760, 1354, 14045, 2436, 596, 899, 621, 610, 711, 286, 4279, 256, 5901, 1346, 8797, 4555, 2673, 547, 707, 2295, 16382, 596, 979, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 5719, 321, 6064, 532, 930, 1455, 14868, 267, 1382, 593, 519, 4220, 540, 15267, 946, 814, 711, 3254, 513, 1463, 21465, 3095, 1063, 15267, 946, 543, 2618, 2670, 610, 2669, 269, 3958, 267, 1247, 15267, 568, 519, 1034, 4922, 268, 4310, 28302, 3075, 543, 9311, 625, 519, 946, 540, 824, 6878, 267, 8159, 922, 4390, 607, 513, 968, 22017, 3118, 892, 3075, 547, 811, 5739, 28400, 5562, 5061, 814, 6404, 4681, 277, 269, 875, 547, 1491, 524, 321, 323, 10733, 332, 625, 585, 4160, 6270, 3270, 540, 946, 723, 849, 1044, 5532, 547, 15267, 946, 4524, 543, 15267, 15639, 6794, 267, 799, 616, 6353, 676, 513, 3984, 540, 2589, 1519, 29338, 543, 4160, 278, 267, 279, 269, 769, 4334, 267, 513, 13849, 20400, 540, 476, 2537, 19747, 1852, 8062, 1336, 1100, 2963, 540, 2362, 8801, 4093, 950, 2550, 941, 11311, 2564, 15267, 280, 563, 2005, 779, 950, 596, 1745, 891, 2589, 855, 2907, 723, 513, 10892, 602, 23776, 8213, 666, 581, 5906, 269, 2060, 9526, 531, 666, 7903, 596, 547, 1832, 2921, 17414, 6950, 267, 2523, 952, 596, 5749, 1406, 4743, 519, 2360, 15042, 269, 769, 476, 1001, 273, 267, 513, 1895, 540, 4436, 3173, 3370, 513, 1353, 1775, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 1805, 574, 592, 656, 268, 5715, 340, 1027, 5369, 2670, 9615, 22604, 257, 607, 851, 540, 834, 306, 23852, 29803, 1315, 28548, 18816, 1299, 5410, 11881, 1315, 24391, 2580, 6098, 693, 476, 276, 4458, 6040, 1453, 609, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 513, 476, 276, 4458, 6040, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 0, 4495, 2390, 513, 942, 267, 538, 513, 2244, 2484, 2476, 267, 972, 729, 513, 9589, 13442, 3957, 18888, 6341, 269, 18888, 6341, 1185, 2185, 2027, 2828, 945, 5030, 3330, 1864, 910, 19196, 924, 618, 21877, 267, 17934, 879, 6754, 267, 2107, 326, 11047, 30546, 267, 543, 22375, 25599, 344, 269, 1452, 2828, 5280, 18888, 6341, 1174, 1010, 1560, 543, 875, 621, 2242, 2429, 519, 1554, 780, 3080, 13566, 12784, 267, 1247, 4730, 609, 1010, 5172, 9162, 267, 18888, 6341, 3323, 4743, 16168, 269, 3571, 2295, 986, 1027, 267, 543, 646, 5433, 3636, 782, 936, 256, 1261, 9289, 1018, 729, 8345, 547, 1864, 269, 2334, 781, 950, 19196, 924, 618, 21877, 12038, 909, 543, 1767, 267, 834, 15916, 267, 594, 993, 19196, 924, 618, 21877, 256, 1879, 596, 1294, 1945, 4277, 610, 3078, 267, 899, 707, 5172, 11442, 267, 594, 948, 1118, 707, 1560, 1745, 1434, 543, 4712, 585, 1187, 3010, 290, 19564, 6341, 4797, 547, 1404, 267, 543, 4166, 2614, 267, 646, 6603, 513, 1448, 1141, 3388, 1472, 1864, 8604, 1175, 1318, 269, 3502, 1932, 3728, 267, 711, 1932, 3500, 282, 646, 729, 11981, 1169, 4090, 256, 901, 8748, 3942, 729, 11461, 676, 17934, 879, 6754, 269, 2060, 513, 9543, 5639, 267, 17934, 879, 6754, 6045, 267, 834, 296, 993, 1934, 547, 1832, 1919, 11931, 543, 11791, 2394, 596, 6430, 621, 781, 942, 547, 3247, 4730, 3010, 306, 19488, 267, 607, 952, 676, 9059, 267, 18888, 6341, 4810, 513, 17175, 14815, 602, 1500, 1864, 17254, 326, 548, 796, 19055, 2406, 269, 898, 729, 2107, 326, 11047, 30546, 945, 4547, 971, 7772, 748, 4606, 547, 1272, 269, 3911, 4979, 29116, 267, 2107, 326, 11047, 30546, 3838, 267, 834, 2691, 596, 3914, 713, 6126, 1747, 267, 621, 1797, 596, 10150, 3054, 543, 5129, 2182, 269, 5556, 17894, 15323, 7661, 267, 1310, 930, 1964, 543, 11005, 267, 18888, 6341, 8120, 547, 3339, 269, 2353, 1010, 1648, 3357, 1394, 267, 543, 646, 729, 8049, 547, 2263, 1007, 9035, 1586, 269, 9877, 13463, 14975, 22375, 25599, 344, 21407, 1864, 267, 834, 3086, 602, 938, 960, 568, 2944, 267, 649, 786, 1491, 1416, 540, 19268, 1154, 707, 1560, 865, 602, 596, 616, 5423, 585, 811, 10761, 14182, 3010, 4517, 865, 267, 18888, 6341, 4121, 827, 1010, 2189, 1895, 540, 2828, 2713, 1369, 1864, 269, 3962, 3659, 1131, 2408, 1282, 1114, 8090, 540, 1010, 3232, 2238, 267, 4543, 1864, 2972, 1585, 2833, 998, 4657, 17915, 269, 6884, 267, 1346, 4606, 1522, 2097, 689, 7487, 4190, 5810, 267, 6217, 16990, 2575, 267, 512, 8463, 8949, 13000, 267, 610, 3274, 1373, 11303, 676, 6068, 3283, 269, 28064, 3615, 543, 3871, 1223, 3142, 8521, 519, 13300, 540, 19196, 924, 618, 21877, 267, 17934, 879, 6754, 267, 2107, 326, 11047, 30546, 267, 543, 22375, 25599, 344, 269, 1656, 1655, 540, 782, 267, 1100, 2339, 875, 1082, 2053, 789, 7902, 267, 789, 941, 2141, 2139, 547, 3391, 18888, 6341, 998, 1010, 9589, 3460, 1572, 5020, 780, 4415, 713, 2241, 7778, 267, 1762, 3988, 1631, 917, 827, 519, 834, 14549, 20351, 15863, 18888, 2437, 1210, 5432, 2035, 899, 1404, 5503, 267, 9350, 1145, 267, 8788, 267, 543, 29915, 566, 269, 1358, 849, 1451, 827, 4948, 3615, 543, 1514, 4296, 602, 3565, 547, 2318, 3929, 2829, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 292, 1504, 634, 20242, 7129, 281, 634, 22547, 2986, 3013, 32075, 338, 24028, 11462, 3557, 454, 292, 1504, 634, 20242, 7129, 281, 634, 22547, 2986, 3013, 32075, 338, 24028, 11462, 3557, 454, 3719, 519, 19545, 634, 20242, 7129, 281, 634, 22547, 540, 3013, 32075, 338, 24028, 11462, 3557, 676, 799, 621, 568, 12592, 1590, 581, 4503, 609, 824, 8635, 547, 1018 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 15947, 4449, 1477, 2018, 952, 4494, 5157, 4940, 2431, 6769, 3546, 4494, 6834, 1496, 331, 9707, 5157, 4940, 2431, 15947, 1038, 536, 12028, 10857, 9707, 314, 2181, 341, 281, 29573, 17264, 1477, 825, 536, 12028, 8443, 10174, 29573, 825, 2132, 759, 5897, 258, 14630, 281, 4864, 476, 1704, 267, 476, 1708, 272, 1477, 258, 11693, 519, 3597, 540, 513, 9352, 3529, 267, 2132, 519, 1990, 580, 345, 698, 1377, 1931, 21986, 531, 540, 922, 9136, 262, 2418, 23228, 258, 263, 328, 4318, 1421, 689, 2451, 547, 1318, 267, 1287, 1318, 547, 2451, 585, 519, 1985, 1377, 543, 14595, 1063, 1040, 5897, 258, 9502, 585, 513, 9352, 3529, 6843, 23228, 258, 1362, 30741, 6769, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1130, 284, 271, 267, 2451, 22561, 267, 1318, 22561, 8029, 258, 1363, 1582, 22183, 815, 1130, 1477, 258, 1363, 1582, 16000, 815, 2451, 1477, 258, 1363, 1582, 16192, 815, 1318, 5897, 3698, 1990, 580, 345, 698, 25583, 24576, 20172, 8029, 1363, 1477, 825, 1948, 320, 536, 12028, 3070, 282, 2705, 267, 649, 621, 4733, 998, 519, 9136, 689, 1142, 4494, 538, 9258, 1931, 547, 875, 789, 941, 813, 2105, 543, 1711, 519, 1985, 4494, 267, 998, 2901, 513, 6843, 16000, 9847, 6843, 16192, 9847, 1985, 6843, 610, 513, 6843, 16192, 9847, 6843, 16000, 9847, 1985, 6843, 533, 1551, 1181, 267, 1247, 12055, 908, 998, 519, 1699, 4494, 258, 1477, 1363, 1477, 825, 1948, 339, 820, 519, 9352, 3529, 1496, 274, 267, 280, 267, 736, 19885, 1638, 19885, 1638, 267, 1428, 267, 278, 316, 585, 3236, 1477, 1363, 1477, 825, 1948, 331, 9707, 476, 271, 281, 3597, 1477, 825, 1948, 331, 9707, 476, 272, 281, 12055, 908, 538, 9258, 1496, 274, 316, 18092, 1496, 736, 267, 280, 15947, 825, 1948, 331, 9707, 476, 273, 281, 12055, 908, 538, 9258, 1496, 736, 267, 280, 316, 18092, 1496, 1428, 267, 278, 15947, 1363, 1477, 825, 1219, 2638, 318, 3847, 27316, 8029, 1038, 952, 6843, 16000, 6769, 2018, 2132, 6843, 16000, 1477, 1038, 2132, 7183, 1477, 1363, 1477, 825, 1219, 2638, 318, 2431, 27316, 8029, 1038, 952, 6843, 16192, 6769, 2018, 2132, 6843, 16192, 1477, 1038, 2132, 7183, 1477, 17264, 1477, 825, 1219, 25961, 10857, 9707, 267, 1293, 8029, 1363, 1477, 1038, 1875, 29985, 759, 1477, 17264, 1477, 1038, 952, 7003, 10857, 9707, 264, 2652, 476, 271, 6769, 2018, 2132, 1477, 17264, 1477, 1038, 759, 6910, 8443, 27161, 22183, 585, 6843, 538, 4494, 29573, 17264, 1477, 1038, 10917, 815, 1496, 15947, 1038, 585, 1775, 538, 2039, 8987, 272, 16427, 9230, 6352, 10857, 9707, 4297, 266, 272, 1070, 268, 272, 8029, 825, 1477, 2018, 952, 1293, 4939, 476, 273, 2652, 476, 272, 6769, 3546, 952, 2638, 318, 2431, 10857, 9707, 5157, 316, 8029, 7386, 10917, 6834, 1496, 331, 9707, 5157, 4940, 2431, 15947, 3546, 952, 2638, 318, 3847, 10857, 9707, 5157, 316, 8029, 7386, 10917, 6834, 1496, 331, 9707, 5157, 4940, 3847, 15947, 4449, 1477, 2018, 3116, 6769, 3546, 952, 2638, 318, 3847, 10857, 9707, 5157, 316, 8029, 7386, 10917, 6834, 1496, 331, 9707, 5157, 4940, 3847, 15947, 3546, 952, 2638, 318, 2431, 10857, 9707, 5157, 316, 8029, 7386, 10917, 6834, 1496, 331, 9707, 5157, 4940, 2431, 15947, 4449, 1363, 1477, 1038, 25961, 6025, 11391, 267, 12248, 266, 272, 476, 3418, 1363, 1477, 825, 952, 3597, 2652, 7183, 6769, 1038, 2132, 1496, 15947, 1363, 1477, 825, 759, 815, 1496, 15947, 1363, 1477, 825, 25961, 8443, 10174, 3910, 476, 272, 3418, 825, 2132, 759, 5897, 258, 14630, 281, 4864, 476, 1240, 267, 476, 1708, 272, 1477, 258, 11693, 606, 8870, 562, 267, 2132, 3020, 952, 562, 814, 4010, 1614, 2318, 16975, 269, 19227, 267, 2132, 7301, 23228, 258, 2304, 8870, 544, 568, 513, 27708, 540, 562, 952, 972, 6818, 606, 8870, 737, 971, 602, 562, 815, 737, 2608, 544, 269, 5897, 5814, 2979, 1477, 3698, 568, 16248, 3799, 8029, 1363, 1477, 825, 1948, 534, 744, 3799, 264, 3070, 282, 2016, 602, 476, 272, 543, 562, 1590, 581, 2188, 540, 562, 267, 2638, 585, 824, 2009, 2188, 689, 562, 11489, 4009, 3597, 540, 562, 630, 1729, 2057, 16937, 3418, 1363, 1477, 825, 2820, 338, 815, 476, 273, 1477, 1363, 1477, 825, 585, 1775, 538, 2039, 263, 273, 267, 842, 263, 4118, 28460, 3799, 4297, 266, 272, 8029, 17264, 1477, 1038, 952, 562, 270, 328, 2652, 562, 2260, 328, 6769, 2018, 952, 1775, 2652, 2979, 28460, 3799, 8029, 3546, 2820, 338, 6834, 476, 272, 1477, 2018, 3116, 6769, 3546, 2820, 338, 6834, 476, 273, 1477, 1363, 1477, 825, 952, 2820, 338, 2652, 476, 274, 6769, 1038, 2132, 6936, 1477, 825, 2132, 8771, 5897, 258, 14630, 281, 4864, 476, 866, 267, 476, 1708, 272, 1477, 258, 11693, 519, 3597, 540, 513, 9352, 3529, 267, 2132, 922, 5021, 3178, 23228, 258, 288, 9352, 3529, 781, 5021, 3178, 568, 519, 1297, 540, 9136, 2059, 519, 13074, 2619, 689, 519, 3597, 6843, 1524, 547, 519, 17439, 4554, 6978, 6843, 269, 5897, 258, 9502, 585, 513, 9352, 3529, 6843, 23228, 258, 1362, 30741, 6769, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1130, 284, 271, 267, 2451, 22561, 267, 1318, 22561, 8029, 258, 1363, 1582, 22183, 815, 1130, 1477, 258, 1363, 1582, 16000, 815, 2451, 1477, 258, 1363, 1582, 16192, 815, 1318, 5897, 3698, 3193, 291, 3704, 20172, 8029, 1363, 1477, 825, 1948, 320, 840, 19195, 21986, 531, 1247, 5329, 3950, 540, 519, 1699, 3178, 630, 6518, 786, 1450, 519, 2518, 2626, 547, 7683, 581, 8242, 3418, 24541, 825, 20735, 815, 476, 271, 1477, 1363, 1477, 825, 1219, 546, 12028, 27316, 267, 3178, 8029, 1363, 1477, 1038, 1875, 29985, 20735, 1477, 1363, 1477, 1038, 20735, 815, 3193, 263, 753, 28504, 3704, 3418, 1363, 1477, 1038, 952, 6843, 16000, 11203, 7183, 6769, 2018, 546, 12028, 27316, 16000, 267, 3178, 266, 272, 3418, 1363, 1477, 1038, 952, 6843, 16192, 11203, 7183, 6769, 2018, 546, 12028, 27316, 16192, 267, 3178, 266, 272, 3418, 1363, 1477, 1038, 2132, 1477, 24541, 825, 952, 3597, 11203, 7183, 6769, 1038, 546, 12028, 20172, 267, 272, 3418, 1038, 2132, 20735, 1477, 825, 2132, 476, 271, 5897, 258, 14630, 281, 4864, 476, 2420, 267, 476, 1708, 272, 1477, 258, 11693, 606, 8870, 5044, 15358, 1141, 519, 2609, 616, 15044, 538, 26799, 1931, 267, 6460, 621, 547, 513, 4463, 28394, 2331, 9352, 3406, 3529, 23228, 258, 288, 4463, 28394, 2331, 9352, 3529, 568, 513, 9352, 3529, 538, 799, 519, 3178, 540, 519, 1079, 5705, 4181, 540, 1169, 6843, 715, 14110, 2207, 667, 9281, 293, 8991, 15760, 27749, 8946, 3198, 21450, 269, 5897, 258, 9502, 585, 513, 9352, 3529, 6843, 23228, 258, 1362, 30741, 6769, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1130, 284, 271, 267, 2451, 22561, 267, 1318, 22561, 8029, 258, 1363, 1582, 22183, 815, 1130, 1477, 258, 1363, 1582, 16000, 815, 2451, 1477, 258, 1363, 1582, 16192, 815, 1318, 5897, 3698, 15044, 26161, 2414, 289, 4306, 25225, 8029, 1363, 1477, 825, 1948, 15965, 728, 543, 20630, 1341, 16571, 542, 282, 585, 1142, 25276, 1289, 267, 649, 3651, 519, 2539, 3368, 540, 2418, 547, 519, 2451, 1016, 2389, 872, 543, 519, 824, 3368, 547, 519, 1318, 1477, 1363, 1477, 825, 952, 711, 15358, 6769, 1038, 2132, 21506, 24541, 825, 4571, 815, 7003, 25225, 264, 12262, 476, 273, 1477, 825, 3597, 815, 30741, 25225, 314, 13232, 29573, 825, 3597, 16000, 815, 1582, 4732, 9285, 26161, 2414, 289, 4306, 25225, 11468, 13232, 29573, 825, 3597, 16192, 815, 1582, 4732, 9285, 26161, 2414, 289, 4306, 25225, 314, 13232, 266, 272, 281, 316, 10142, 825, 2132, 3597, 5897, 258, 14630, 4864, 476, 2420, 267, 476, 1708, 272, 1477, 258, 11693, 513, 9352, 3529, 3597, 267, 513, 6843, 2473, 538, 519, 3529, 568, 3957, 1434, 952, 538, 519, 2619, 689, 3597, 547, 2473, 972, 616, 1100, 9136, 609, 513, 1871, 3152, 982, 2473, 23228, 258, 27987, 519, 1297, 540, 1434, 9136, 538, 519, 9352, 3529, 269, 5897, 258, 9502, 585, 513, 9352, 3529, 6843, 23228, 258, 1362, 30741, 6769, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1130, 284, 271, 267, 2451, 22561, 267, 1318, 22561, 8029, 258, 1363, 1582, 22183, 815, 1130, 1477, 258, 1363, 1582, 16000, 815, 2451, 1477, 258, 1363, 1582, 16192, 815, 1318, 5897, 3698, 1434, 301, 3941, 20172, 8029, 1363, 1477, 825, 1948, 2181, 4650, 546, 12028, 1341, 5329, 3950, 540, 3193, 19056, 593, 1142, 2619, 21506, 24541, 825, 1219, 25961, 27316, 267, 10946, 26371, 8029, 1363, 1477, 1038, 1875, 29985, 1434, 1477, 1363, 1477, 1038, 952, 6843, 6769, 2018, 952, 6843, 22183, 13843, 3193, 26371, 6769, 3546, 1434, 6834, 476, 272, 5897, 2018, 25961, 27316, 16000, 267, 10946, 27316, 22183, 267, 10946, 26371, 17903, 2018, 25961, 27316, 16192, 267, 10946, 27316, 22183, 267, 10946, 26371, 4297, 1363, 1477, 1038, 2132, 21506, 24541, 825, 1434, 815, 476, 271, 1477, 825, 25961, 20172, 267, 15615, 3488, 268, 8882, 10807, 3418, 825, 2132, 1434, 5897, 258, 14630, 281, 4864, 476, 2420, 267, 476, 1708, 272, 1477, 258, 11693, 519, 3597, 540, 513, 9352, 3529, 267, 538, 3200, 519, 3529, 267, 543, 2132, 922, 3597, 269, 5897, 258, 9502, 585, 513, 9352, 3529, 6843, 23228, 258, 1362, 30741, 6769, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1130, 284, 271, 267, 2451, 22561, 267, 1318, 22561, 8029, 258, 1363, 1582, 22183, 815, 1130, 1477, 258, 1363, 1582, 16000, 815, 2451, 1477, 258, 1363, 1582, 16192, 815, 1318, 5897, 3698, 538, 3200, 21698, 20172, 8029, 825, 5727, 1477, 825, 2433, 6943, 3597, 281, 30741, 1477, 825, 2433, 337, 6943, 281, 30741, 1477, 825, 5727, 1477, 24541, 825, 1948, 2181, 4650, 21986, 531, 281, 23396, 1169, 6292, 540, 8371, 1477, 24541, 825, 1219, 546, 12028, 27316, 8029, 1363, 1477, 1038, 952, 6843, 6769, 2018, 6843, 16000, 19885, 1712, 16192, 815, 6843, 16192, 19885, 1712, 16000, 1477, 2018, 546, 12028, 27316, 16000, 3418, 2018, 546, 12028, 27316, 16192, 3418, 24541, 825, 546, 12028, 20172, 3418, 825, 2132, 3597, 5897, 258, 14630, 281, 4864, 476, 2420, 267, 476, 1708, 272, 1477, 258, 11693, 513, 9352, 3529, 267, 1265, 922, 5934, 3178, 23228, 258, 763, 5934, 3178, 568, 519, 1297, 540, 9136, 2059, 519, 20125, 2619, 689, 519, 3597, 6843, 1524, 547, 519, 14282, 6978, 6843, 23228, 258, 9616, 281, 589, 6978, 568, 513, 6843, 609, 1100, 1453, 269, 5897, 258, 9502, 585, 513, 9352, 3529, 6843, 23228, 258, 1362, 30741, 6769, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1130, 284, 271, 267, 2451, 22561, 267, 1318, 22561, 8029, 258, 1363, 1582, 22183, 815, 1130, 1477, 258, 1363, 1582, 16000, 815, 2451, 1477, 258, 1363, 1582, 16192, 815, 1318, 5897, 3698, 1295, 291, 3704, 20172, 8029, 1363, 1477, 825, 1219, 546, 12028, 27316, 28504, 3704, 8029, 1038, 1875, 29985, 20735, 1477, 1363, 1477, 1038, 952, 6843, 6769, 2018, 952, 711, 630, 27161, 16000, 610, 6843, 16192, 8029, 3546, 20735, 815, 1295, 263, 753, 28504, 3704, 3418, 17264, 1477, 2018, 546, 12028, 27316, 16000, 28504, 3704, 1341, 476, 272, 3418, 2018, 546, 12028, 27316, 16192, 28504, 3704, 1341, 476, 272, 3418, 1038, 2132, 1477, 24541, 825, 20735, 815, 10581, 3488, 8882, 20298, 825, 546, 12028, 20172, 267, 272, 3418, 825, 952, 711, 3597, 281, 2132, 476, 271, 1477, 825, 2132, 20735, 5897, 258, 14630, 281, 4864, 476, 2420, 267, 476, 1708, 272, 1477, 258, 11693, 519, 3597, 540, 513, 9352, 3529, 543, 606, 8870, 3077, 11764, 267, 2132, 3020, 952, 519, 3529, 814, 513, 3597, 3562, 6122, 2378, 2619, 971, 602, 1477, 258, 32061, 909, 782, 519, 2418, 2059, 519, 2619, 11224, 3077, 11764, 23228, 258, 288, 6978, 568, 513, 6843, 609, 1100, 1453, 269, 5897, 258, 9502, 585, 513, 9352, 3529, 6843, 23228, 258, 1362, 30741, 6769, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1130, 284, 271, 267, 2451, 22561, 267, 1318, 22561, 8029, 258, 1363, 1582, 22183, 815, 1130, 1477, 258, 1363, 1582, 16000, 815, 2451, 1477, 258, 1363, 1582, 16192, 815, 1318, 5897, 3698, 814, 26073, 11764, 20172, 25722, 13759, 11764, 8029, 1363, 1477, 825, 1948, 2181, 4650, 546, 12028, 282, 979, 1524, 1169, 2009, 2619, 543, 2638, 519, 18304, 5897, 825, 1219, 546, 12028, 27316, 267, 2017, 337, 8029, 1038, 1875, 29985, 20735, 1477, 1363, 1477, 1038, 952, 6843, 6769, 17264, 1477, 2018, 952, 711, 630, 27161, 16000, 610, 6843, 16192, 264, 543, 28364, 2652, 3077, 11764, 6769, 3546, 20735, 815, 6936, 1477, 3546, 2132, 1477, 17264, 1477, 2018, 952, 6843, 16000, 6769, 3546, 546, 12028, 27316, 16000, 267, 2017, 337, 266, 27161, 16000, 22183, 3418, 17264, 1477, 2018, 952, 6843 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4890, 1353, 269, 14936, 267, 519, 1267, 568, 3379, 547, 6961, 2436, 621, 568, 1713, 610, 711, 269, 769, 519, 2013, 540, 513, 11050, 1382, 1505, 267, 590, 31723, 666, 581, 1031, 547, 5659, 519, 1239, 543, 6961, 2436, 519, 1267, 568, 1713, 563, 1103, 713, 1353, 267, 594, 1131, 946, 606, 8097, 1382, 4640, 269, 769, 713, 4640, 267, 835, 610, 811, 4632, 616, 26203, 547, 3313, 741, 1764, 593, 519, 8200, 4756, 269, 1323, 8097, 1382, 4640, 568, 513, 3621, 1935, 547, 513, 1353, 1141, 3173, 1689, 835, 610, 811, 4632, 543, 8060, 607, 1134, 607, 547, 2268, 519, 1689, 538, 1022, 4756, 630, 24836, 23439, 614, 1299, 1280, 345, 8457, 267, 476, 1001, 279, 1040, 1280, 1383, 267, 538, 713, 1353, 267, 519, 8200, 4756, 568, 10795, 5615, 10268, 676, 1453, 267, 6466, 519, 4830, 4756, 568, 10795, 2923, 1543, 269, 4935, 267, 594, 786, 581, 2111, 547, 1689, 2923, 1543, 6534, 547, 1453, 543, 10708, 547, 3313, 741, 1198, 593, 1453, 779, 2623, 563, 1103, 1840, 267, 594, 3494, 606, 8097, 1382, 4640, 2488, 519, 1655, 1797, 547, 12446, 693, 519, 1267, 540, 519, 1353, 269, 898, 2636, 3173, 547, 723, 513, 2178, 3180, 593, 4756, 547, 3489, 519, 17191, 1267, 269, 634, 3173, 616, 538, 1852, 540, 782, 519, 4632, 6508, 689, 519, 8367, 269, 898, 2488, 513, 3760, 585, 1620, 1114, 3344, 267, 899, 4152, 519, 8367, 269, 769, 519, 1305, 8367, 267, 513, 11001, 786, 723, 547, 3313, 2436, 10795, 2923, 9115, 3565, 547, 15730, 10795, 5615, 269, 4475, 267, 10647, 606, 4603, 593, 713, 1641, 786, 3489, 513, 4062, 540, 3119, 1344, 267, 799, 666, 1683, 1007, 4030, 563, 24836, 23439, 614, 267, 674, 269, 808, 1421, 1299, 1280, 345, 8457, 267, 700, 269, 589, 269, 645, 269, 630, 1001, 279, 1040, 3194, 2409, 585, 519, 8965, 9443, 269, 595, 1263, 720, 4804, 563, 310, 718, 27332, 267, 715, 269, 630, 1001, 278, 1040, 3194, 2409, 281, 634, 9238, 269, 30296, 269, 0, 4322, 11147, 5693, 7866, 602, 519, 26083, 338, 540, 891, 1079, 9635, 24482, 20374, 607, 519, 9635, 6410, 20991, 2476, 269, 901, 568, 5812, 609, 1018, 649, 1131, 2503, 952, 519, 3618, 568, 20085, 267, 855, 713, 3112, 581, 6045, 952, 519, 3618, 568, 6366, 269, 4475, 267, 713, 568, 1434, 2963, 602, 519, 3618, 568, 20085, 269, 634, 2164, 4843, 1934, 17591, 519, 1082, 6337, 593, 519, 4950, 540, 3615, 3564, 519, 16880, 602, 27581, 6961, 602, 519, 3618, 568, 6366, 269, 8409, 16957, 15997, 616, 30096, 1317, 789, 8959, 547, 1491, 2272, 540, 11626, 1201, 3555, 1813, 547, 513, 2837, 538, 11437, 269, 1635, 10647, 713, 4603, 950, 972, 729, 1100, 7872, 540, 513, 2837, 538, 11437, 267, 594, 14284, 602, 28658, 269, 634, 1249, 602, 17071, 14393, 2471, 9846, 4951, 909, 538, 519, 11147, 6961, 602, 972, 729, 1100, 2837, 538, 11437, 267, 10834, 3079, 602, 972, 729, 513, 5594, 15911, 4494, 540, 2011, 538, 3346, 609, 519, 1216, 267, 609, 5594, 16830, 2011, 1657, 563, 1607, 568, 8903, 8631, 267, 543, 5693, 3395, 538, 8560, 269, 3733, 2243, 568, 910, 875, 798, 596, 1847, 593, 689, 1934, 910, 689, 606, 2228, 959, 9801, 3350, 547, 930, 1483, 3310, 936, 3084, 610, 1256, 3486, 2069, 3609, 286, 5221, 267, 31799, 803, 585, 6031, 865, 267, 855, 596, 3100, 547, 723, 513, 7823, 547, 18214, 538, 602, 2463, 269, 30474, 1454, 1169, 1126, 593, 519, 4541, 568, 1373, 6026, 519, 31249, 344, 269, 1215, 798, 596, 2744, 1483, 20086, 547, 1689, 602, 286, 594, 1810, 1405, 1589, 519, 4950, 568, 2614, 676, 3294, 267, 798, 596, 286, 1772, 972, 1022, 4126, 538, 519, 1007, 11686, 7245, 888, 5038, 264, 2372, 7627, 968, 24618, 3502, 513, 31248, 17373, 676, 15656, 18007, 18485, 600, 267, 968, 2005, 568, 1634, 602, 519, 16880, 693, 4262, 267, 8726, 3845, 621, 949, 8831, 547, 519, 1318, 543, 2451, 540, 519, 20626, 593, 2244, 267, 2141, 5526, 607, 513, 2786, 1899, 269, 634, 1739, 4603, 814, 1044, 6836, 538, 1585, 2694, 540, 519, 2197, 269, 2311, 24761, 517, 267, 593, 513, 8375, 2666, 2282, 519, 5198, 1576, 267, 1079, 18635, 941, 6378, 538, 519, 3618, 3670, 18126, 6306, 267, 543, 2047, 6587, 519, 4262, 269, 9737, 891, 18635, 513, 1899, 729, 17401, 21401, 6252, 547, 519, 16880, 269, 3245, 519, 4099, 540, 519, 1899, 519, 2070, 17947, 711, 1447, 982, 476, 736, 5195, 593, 1142, 2427, 1818, 513, 3845, 540, 476, 2412, 5195, 269, 589, 6077, 729, 4767, 22892, 2047, 7178, 2072, 282, 519, 1899, 2759, 519, 6551, 3101, 513, 2370, 1657, 519, 4439, 8705, 802, 267, 799, 621, 1705, 585, 1896, 3108, 610, 2394, 519, 6077, 1185, 30774, 519, 2898, 3845, 540, 476, 2412, 5195, 269, 634, 6928, 4947, 883, 2070, 689, 519, 7532, 1131, 723, 547, 10841, 754, 606, 20916, 7077, 585, 476, 736, 5195, 2394, 621, 8452, 693, 519, 4099, 540, 519, 9095, 267, 950, 576, 621, 1131, 723, 547, 13956, 585, 519, 1482, 3845, 269, 634, 4009, 540, 476, 736, 5195, 16611, 676, 476, 279, 6279, 3947, 476, 29214, 3952, 607, 519, 2179, 519, 6077, 1131, 581, 2630, 519, 1899, 693, 519, 4098, 543, 693, 519, 1439, 540, 519, 476, 2412, 5195, 3034, 4002, 5437, 476, 1321, 267, 476, 1001, 277, 267, 594, 1185, 519, 4316, 547, 2932, 713, 4603, 269, 594, 729, 2282, 519, 1216, 779, 6316, 267, 1175, 3564, 519, 17774, 267, 693, 9098, 16047, 689, 1647, 547, 3735, 12784, 269, 1879, 594, 3459, 267, 519, 2011, 2837, 729, 476, 2004, 5232, 674, 267, 543, 519, 2837, 12628, 513, 4110, 610, 1079, 676, 519, 942, 602, 594, 729, 2944, 267, 2282, 23863, 269, 634, 1216, 2837, 729, 476, 7830, 1700, 5038, 5232, 674, 267, 865, 519, 2011, 5612, 1657, 519, 1216, 729, 693, 2547, 4557, 5232, 15911, 982, 519, 2011, 2837, 513, 2110, 3845, 1657, 519, 1216, 269, 594, 13227, 1117, 1079, 18535, 9635, 607, 789, 1500, 741, 1259, 856, 547, 4262, 689, 519, 2823, 693, 8621, 17980, 10003, 338, 269, 594, 15841, 513, 3059, 20793, 305, 8254, 593, 513, 476, 274, 269, 276, 20878, 2372, 652, 541, 16263, 267, 2348, 513, 476, 272, 267, 1220, 2173, 332, 17122, 3259, 269, 634, 18869, 4259, 593, 519, 8254, 729, 476, 1911, 585, 782, 11147, 563, 22349, 1258, 12002, 2995, 721, 269, 602, 519, 9855, 267, 4422, 5180, 519, 3047, 538, 827, 476, 2764, 2395, 269, 4270, 267, 649, 949, 1294, 1200, 1818, 1200, 3460, 5180, 1169, 269, 1554, 267, 952, 649, 1118, 946, 540, 938, 4064, 543, 891, 616, 827, 519, 1655, 1919, 649, 723, 547, 946, 269, 634, 9855, 8813, 3297, 538, 1200, 3232, 5163, 607, 3379, 609, 602, 540, 519, 6129, 547, 519, 6708, 540, 835, 4838, 538, 519, 942, 9138, 282, 855, 602, 568, 711, 1818, 513, 4838, 269, 674, 9430, 547, 979, 607, 3728, 607, 824, 4703, 979, 538, 835, 4287, 1281, 711, 13822, 513, 2469, 5180, 538, 519, 6587, 835, 910, 607, 519, 19936, 1131, 723, 721, 3494, 256, 1656, 267, 2094, 782, 713, 21494, 640, 814, 1044, 21235, 2556, 585, 1100, 824, 3483, 982, 547, 948, 824, 21494, 885, 2059, 267, 621, 568, 2312, 602, 519, 19936, 616, 593, 519, 4636, 3950, 282, 543, 621, 2115, 1100, 1279, 5721, 540, 7744, 547, 1397, 602, 649, 723, 1336, 513, 6169, 602, 519, 3047, 568, 711, 513, 8608, 563, 5655, 264, 769, 519, 3440, 7232, 14390, 2203, 19778, 568, 606, 4672, 11782, 799, 6227, 519, 5377, 540, 519, 3440, 689, 476, 4281, 5232, 3162, 20173, 547, 476, 3445, 543, 568, 4061, 711, 811, 982, 476, 1321, 267, 1822, 5195, 538, 18592, 269, 3509, 2038, 17701, 1519, 12650, 1014, 13648, 543, 6276, 18412, 17664, 267, 2705, 267, 538, 12394, 21303, 2235, 4379, 3572, 566, 3576, 476, 274, 547, 476, 275, 1296, 543, 9219, 539, 476, 2004, 268, 2568, 267, 1822, 5195, 1472, 269, 634, 3703, 6928, 5668, 10152, 849, 1500, 606, 9940, 855, 2347, 2235, 4379, 3572, 566, 540, 19778, 21986, 532, 476, 7597, 267, 1822, 5195, 269, 901, 568, 7357, 22522, 609, 519, 3440, 2203, 563, 1428, 264, 1403, 519, 3047, 941, 5963, 513, 12106, 476, 1839, 267, 1822, 5195, 538, 18592, 267, 20987, 21804, 1131, 723, 547, 7683, 2953, 741, 31556, 1524, 2072, 865, 607, 547, 711, 8038, 2786, 1055, 883, 968, 537, 614, 2230, 282, 892, 513, 12681, 530, 5109, 547, 3274, 2226, 741, 15820, 693, 513, 6093, 2267, 2358, 3432, 540, 476, 4335, 18890, 267, 1131, 723, 547, 7683, 16702, 741, 9224, 1524, 2072, 543, 13956, 476, 273, 267, 6507, 278, 3952, 630, 1478, 3368, 513, 13304, 264, 1169, 8792, 256, 19227, 267, 1510, 13180, 267, 538, 835, 5662, 779, 942, 519, 12681, 1131, 1265, 2933, 476, 4029, 269, 276, 5195, 2362, 982, 4397, 563, 763, 1101, 8523, 630, 8201, 476, 275, 264, 568, 540, 513, 18535, 6928, 12946, 519, 2012, 540, 519, 2754, 593, 922, 26083, 269, 634, 2754, 568, 519, 12924, 298, 1899, 267, 513, 2101, 5545, 11288, 2754, 269, 18564, 602, 519, 4420, 1682, 540, 519, 5022, 616, 711, 7298, 269, 634, 5022, 593, 519, 26083, 338, 540, 18535, 9635, 798, 711, 8831, 547, 519, 1216, 1899, 267, 1256, 950, 4628, 16041, 267, 865, 5693, 519, 5377, 540, 519, 26083, 568, 711, 7298, 269, 901, 568, 5812, 609, 1018, 649, 1131, 2503, 593, 513, 20085, 3618, 267, 855, 711, 593, 513, 6366, 3618, 269, 18564, 519, 3043, 8115, 14500, 547, 519, 2451, 269, 634, 11288, 11149, 616, 24352, 565, 1819, 267, 543, 789, 616, 30528, 693, 2547, 5722, 1164, 1657, 519, 26083, 2047, 538, 4395, 540, 519, 8115, 14500, 269, 12989, 519, 7298, 512, 4536, 540, 519, 3818, 23469, 11149, 972, 568, 513, 1377, 540, 1018, 5526, 547, 581, 12457, 11149, 269, 898, 568, 711, 2312, 1946, 519, 11149, 538, 713, 4494, 616, 519, 1482, 2681, 269, 7053, 267, 5469, 602, 519, 3239, 568, 513, 3787, 20747, 787, 269, 901, 568, 1317, 540, 31285, 538, 519, 2011, 1063, 519, 6928, 543, 13272, 269, 2060, 2810, 3845, 267, 519, 31285, 786, 1205, 8338, 267, 543, 519, 2592, 786, 1205, 20747, 8175, 563, 2691, 519, 6129, 22613, 519, 20337, 267, 538, 4728, 267, 543, 5956, 547, 5858, 5180, 519, 30723, 538, 5087, 20173, 267, 519, 11317, 540, 1164, 7187, 4234, 6421, 1294, 1864, 1793, 21148, 5180, 741, 16880, 543, 8108, 519, 2736, 540, 741, 1279, 1554, 267, 538, 513, 8880, 1576, 267, 711, 7106, 8960, 1586, 585, 3670, 3275, 267, 607, 646, 14380, 2362, 543, 2362, 538, 519, 30723, 15029, 646, 2306, 1010, 8938, 21144, 5662, 5858, 2394, 4873, 267, 950, 646, 5956, 547, 13956, 543, 4422, 593, 2394, 646, 7106, 8986, 3564, 519, 16880, 538, 5181, 269, 4935, 267, 538, 519, 7187, 4525, 267, 789, 723, 602, 799, 519, 2951, 518, 7125, 519, 834, 13232, 9519, 6129, 2437, 607, 646, 12034, 602, 561, 636, 2435, 693, 513, 942, 950, 267, 538, 1010, 811, 7013, 20173, 267, 621, 568, 2141, 28813, 269, 1403, 267, 585, 835, 28451, 519, 1032, 267, 649, 949, 1294, 585, 6000, 519, 6129, 1818, 8880, 10580, 5180, 519, 30723, 267, 621, 568, 16912, 696, 633, 2963, 602, 267, 585, 519, 824, 3368, 4458, 267, 646, 568, 3257, 519, 1482, 267, 4352, 3564, 519, 10465, 540, 938, 5075, 269, 901, 267, 1373, 513, 6169, 602, 3047, 568, 513, 7077, 267, 568, 267, 4061, 267, 513, 6169, 602, 519, 3047, 568, 711, 513, 8608, 563, 3583, 264, 3245, 6115, 779, 9412, 538, 1715, 14948, 267, 693, 1175, 513, 476, 6110, 3723, 15038, 267, 621, 568, 2009, 593, 513, 2312, 1554, 547, 1294, 519, 1236, 2643, 1149, 540, 1312, 1715, 3840, 543, 15740, 538, 6587, 8846, 693, 519, 1482, 942, 8720, 513, 2698, 3845, 540, 476, 6344, 5195, 256, 1403, 3047, 941, 513, 3440, 476, 1839, 267, 1822, 5195, 538, 18592, 267, 1312, 540, 891, 1236, 2643, 1149, 1058, 581, 6456, 3297, 936, 476, 8517, 3952, 540, 3047, 779, 22441, 563, 8649, 5074, 269, 594, 11540, 713, 3381, 513, 2370, 936, 1079, 4374, 3516, 269, 769, 1079, 4374, 621, 814, 607, 1082, 5784, 607, 782, 540, 1250, 9708, 1705, 936, 606, 476, 279, 1032, 1974, 540, 942, 269, 4208, 286, 594, 723, 8068, 602, 594, 1185, 1259, 811, 15055, 982, 20247, 10105, 585, 519, 1101, 1079, 4374, 269, 3767, 519, 28550, 568, 547, 20247, 10105, 269, 4208, 286, 5221, 519, 8608, 552, 691, 1667, 1810, 1405, 899, 713, 269, 898, 568, 1932, 2241, 269, 834, 2171, 723 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 4306, 11070, 296, 570, 7728, 20315, 17834, 30888, 3008, 296, 645, 5085, 288, 297, 2752, 590, 3041, 23354, 623, 4696, 288, 623, 2894, 31769, 308, 2793, 3198, 32212, 8656, 17834, 10292, 4041, 717, 28719, 645, 17955, 19845, 27073, 5058, 667, 3201, 4456, 623, 4932, 289, 5085, 288, 297, 2752, 3198, 15829, 297, 308, 11555, 288, 298, 10485, 918, 8379, 8656, 454, 1607, 1353, 6663, 547, 2079, 3384, 540, 1053, 262, 1565, 8404, 538, 519, 1565, 1184, 540, 3114, 5114, 2557, 676, 1210, 5985, 3014, 3490, 1565, 2923, 630, 332, 9394, 3014, 3490, 1565, 1040, 634, 1382, 729, 5342, 693, 18947, 4400, 3427, 476, 6507, 32021, 21840, 538, 476, 1001, 277, 269, 634, 1505, 1031, 538, 713, 1382, 568, 12007, 1382, 1505, 269, 4578, 2079, 2553, 941, 5340, 609, 1239, 5786, 267, 1239, 4159, 267, 8753, 543, 19027, 269, 634, 2298, 3044, 1031, 568, 3972, 10290, 1465, 609, 519, 7355, 540, 17258, 998, 12675, 6278, 267, 10770, 8343, 267, 11636, 1641, 2032, 543, 4759, 10992, 7868, 2164, 11943, 602, 519, 5985, 3014, 3490, 1565, 2923, 666, 1020, 1053, 262, 8404, 538, 519, 3344, 540, 10083, 267, 3007, 267, 6015, 267, 543, 9547, 269, 634, 2460, 540, 10083, 2982, 513, 1434, 8404, 538, 2474, 540, 10083, 540, 7998, 269, 769, 519, 3007, 2460, 267, 621, 12958, 1434, 15131, 543, 3007, 2059, 3587, 811, 5461, 538, 7998, 1565, 269, 634, 2460, 540, 6015, 7472, 1434, 6015, 585, 1053, 538, 4974, 11061, 269, 1280, 519, 2460, 540, 9547, 267, 621, 7472, 513, 1434, 2631, 540, 9547, 269, 4841, 616, 849, 13854, 609, 519, 1565, 1184, 607, 1134, 607, 789, 798, 711, 1745, 25922, 609, 519, 1565, 540, 7998, 269, 0, 1103, 713, 9074, 267, 1053, 786, 1865, 519, 1871, 540, 7816, 543, 519, 2956, 540, 1818, 2472, 1065, 2967, 571, 1076, 543, 6691, 762, 269, 4841, 786, 1711, 4808, 585, 28472, 543, 9657, 2472, 563, 290, 2086, 5218, 2326, 971, 607, 19297, 267, 8038, 619, 267, 7044, 267, 14773, 906, 267, 3092, 563, 268, 14502, 9442, 454, 268, 7177, 5071, 454, 1607, 2534, 31426, 547, 519, 1739, 8921, 19087, 3163, 11621, 269, 1452, 4441, 6451, 519, 5871, 11759, 17402, 11621, 269, 901, 2534, 949, 30136, 547, 824, 4441, 267, 855, 891, 616, 519, 1655, 3514, 912, 7582, 7704, 7177, 5071, 910, 13437, 21673, 725, 912, 268, 15101, 7232, 4811, 272, 268, 273, 269, 5071, 513, 3070, 547, 513, 1950, 1483, 8996, 1966, 676, 8840, 621, 1524, 883, 4130, 267, 811, 19242, 2042, 602, 666, 581, 12193, 998, 4702, 563, 268, 15101, 7232, 4811, 272, 268, 274, 269, 21414, 513, 3070, 547, 513, 1950, 1483, 8996, 1966, 1759, 593, 3922, 1242, 7355, 543, 4123, 32187, 602, 2272, 585, 513, 2039, 540, 10148, 267, 1519, 1942, 267, 3106, 267, 10727, 267, 543, 15312, 267, 607, 1134, 607, 2009, 1514, 267, 2686, 267, 543, 2825, 5222, 563, 268, 8950, 267, 23679, 609, 4950, 1569, 454, 268, 4675, 15533, 547, 1118, 5859, 2326, 454, 12244, 476, 272, 281, 4197, 29766, 543, 27822, 454, 19400, 1775, 293, 1460, 527, 779, 5692, 3381, 610, 1224, 4930, 827, 11418, 9657, 630, 5408, 2200, 2630, 1040, 9181, 519, 1739, 2055, 827, 7816, 543, 9657, 912, 268, 1548, 798, 596, 798, 609, 1919, 602, 616, 7745, 888, 268, 1548, 1919, 798, 596, 1589, 596, 1058, 7816, 286, 1548, 1919, 798, 596, 1589, 596, 1058, 22120, 888, 268, 1215, 1705, 596, 1451, 1018, 1919, 547, 12235, 2476, 8957, 22120, 888, 12244, 476, 273, 281, 3115, 2967, 4599, 1006, 7797, 454, 268, 5620, 1053, 1382, 875, 1950, 3457, 899, 11418, 616, 13381, 543, 30465, 563, 268, 5620, 6887, 540, 1053, 1865, 1018, 789, 1745, 1058, 4755, 693, 519, 1439, 540, 513, 3926, 779, 1272, 267, 1519, 4128, 1946, 269, 5620, 1053, 16540, 824, 3681, 267, 971, 607, 21856, 563, 268, 9181, 519, 1439, 6361, 3734, 1544, 630, 328, 4318, 1421, 1018, 1058, 4755, 547, 513, 3926, 950, 513, 3593, 568, 8737, 609, 621, 267, 950, 621, 568, 1100, 3476, 3730, 267, 610, 950, 621, 568, 7745, 264, 607, 513, 1362, 269, 32341, 593, 513, 7014, 563, 268, 8073, 513, 7816, 543, 9657, 1544, 585, 707, 1153, 1210, 519, 7014, 269, 5620, 1142, 2875, 1895, 581, 3743, 585, 513, 4062, 540, 519, 5859, 267, 1519, 18997, 824, 1053, 543, 12200, 827, 7816, 543, 9657, 269, 8073, 5859, 2326, 630, 14006, 619, 267, 4015, 25510, 267, 3381, 267, 8038, 619, 267, 14773, 906, 267, 3092, 4700, 543, 2671, 873, 609, 707, 1153, 563, 268, 1215, 666, 649, 581, 6213, 547, 519, 1004, 649, 616, 18997, 950, 649, 1376, 2069, 11044, 888, 268, 1215, 798, 2069, 11044, 1860, 938, 2146, 286, 3776, 1158, 888, 268, 1548, 666, 649, 798, 607, 513, 2486, 547, 948, 1004, 1118, 5483, 3664, 286, 1548, 666, 649, 798, 630, 553, 2043, 264, 547, 948, 286, 0, 5445, 1521, 596, 1454, 12137, 518, 269, 1284, 2968, 899, 14552, 269, 17722, 11969, 20462, 543, 7345, 731, 681, 755, 514, 3459, 4058, 519, 15292, 538, 5412, 674, 13550, 5797, 27333, 5143, 873, 281, 1323, 2025, 812, 29499, 593, 519, 5662, 11878, 267, 799, 729, 3808, 547, 581, 1447, 982, 6899, 281, 4208, 267, 950, 594, 729, 856, 972, 693, 519, 15292, 513, 3043, 812, 22283, 593, 1250, 3723, 267, 543, 646, 1767, 267, 834, 2750, 322, 2224, 803, 2437, 543, 594, 1767, 834, 26807, 569, 256, 769, 4873, 2073, 3401, 689, 1896, 1114, 3906, 4646, 519, 7027, 585, 2136, 6406, 7126, 15557, 2073, 606, 22597, 1895, 799, 1131, 11282, 7482, 543, 20261, 269, 634, 1715, 3840, 8648, 5645, 1010, 1867, 281, 898, 729, 12560, 538, 519, 27257, 6288, 607, 519, 22415, 1667, 31372, 585, 519, 21772, 563, 16391, 9088, 7479, 12184, 1715, 3840, 781, 631, 14011, 547, 2196, 3063, 1016, 3118, 14884, 1310, 28813, 593, 4864, 476, 2764, 267, 543, 519, 1715, 3840, 4975, 1668, 12363, 729, 11112, 2429, 519, 3781, 609, 8445, 24921, 269, 634, 7128, 267, 1631, 851, 540, 513, 9793, 2749, 1379, 2497, 267, 9859, 6808, 1472, 519, 4009, 543, 1705, 711, 15936, 609, 519, 11018, 590, 29229, 3812, 513, 17890, 1867, 593, 4864, 476, 2537, 11021, 602, 4004, 1235, 1185, 8959, 547, 3507, 2406, 22467, 3433, 519, 3540, 2924, 3350, 267, 31440, 10615, 808, 269, 634, 3670, 540, 721, 267, 7132, 519, 2185, 269, 634, 1857, 5821, 540, 519, 5870, 267, 799, 3357, 547, 581, 1634, 607, 519, 25930, 7773, 1765, 298, 523, 15326, 5870, 2073, 25967, 1819, 519, 7941, 1063, 519, 2115, 540, 4563, 3013, 543, 519, 1620, 540, 6115, 14761, 269, 24285, 689, 2910, 3918, 543, 19301, 6717, 267, 945, 4941, 547, 2932, 1463, 3527, 1996, 519, 4972, 540, 10456, 267, 31045, 519, 13889, 1354, 789, 941, 5483, 602, 3540, 27136, 17171, 1131, 711, 581, 4847, 269, 12866, 27858, 941, 16135, 593, 519, 6640, 540, 4864, 476, 2764, 1813, 547, 10514, 6937, 269, 634, 15292, 3769, 3109, 2797, 6105, 543, 5261, 1937, 20321, 945, 729, 835, 540, 1082, 945, 1291, 2852, 1053, 1282, 519, 5191, 6560, 5736, 269, 1358, 1521, 596, 1454, 12137, 518, 269, 1635, 4864, 476, 273, 267, 789, 1185, 7856, 476, 5655, 267, 540, 519, 16181, 269, 667, 11395, 6788, 10443, 689, 533, 11189, 31536, 542, 547, 23487, 269, 2060, 5176, 476, 272, 267, 3063, 5330, 757, 7110, 532, 519, 6115, 2046, 24767, 267, 519, 15292, 16668, 513, 2923, 10198, 3677, 982, 519, 17394, 22305, 4851, 1079, 1296, 4505, 269, 634, 11968, 13353, 8648, 4607, 513, 5048, 6031, 922, 22071, 1131, 581, 10514, 539, 8259, 621, 9102, 513, 5048, 10912, 519, 7022, 513, 834, 301, 580, 3455, 700, 1478, 2668, 24285, 540, 519, 15292, 30286, 538, 4395, 540, 519, 18533, 540, 14062, 12493, 22994, 16478, 543, 17825, 941, 13950, 676, 681, 755, 514, 267, 513, 3540, 2924, 25982, 543, 28013, 540, 519, 17714, 540, 26532, 16624, 2073, 519, 1101, 540, 519, 15213, 681, 1938, 547, 1449, 519, 10966, 7040, 15194, 602, 17049, 7292, 7130, 538, 954, 8063, 2951, 269, 634, 3540, 2924, 15628, 29739, 593, 8066, 519, 15292, 269, 4107, 540, 891, 13685, 3238, 3043, 1004, 1427, 8932, 908, 1996, 32593, 550, 3087, 2209, 269, 1358, 19424, 539, 1896, 1804, 22415, 1127, 1282, 519, 521, 267, 855, 782, 941, 1572, 1055, 5103, 9880, 689, 681, 755, 514, 269, 4107, 540, 519, 3087, 2209, 1705, 4163, 840, 13402, 4191, 267, 2139, 538, 25985, 693, 519, 6115, 31790, 269, 634, 9769, 1235, 6035, 17895, 894, 1489, 585, 513, 15292, 602, 1131, 581, 5059, 593, 6009, 269, 1306, 519, 1101, 16008, 540, 971, 9588, 2479, 15748, 543, 13856, 676, 3979, 4892, 267, 519, 15292, 849, 729, 519, 1101, 547, 723, 922, 2470, 28025, 3765, 704, 18727, 538, 4434, 269, 28089, 14208, 1478, 15653, 922, 9115, 269, 769, 519, 2038, 521, 267, 513, 1062, 540, 3656, 7130, 267, 1634, 607, 13343, 18844, 4031, 2073, 941, 24245, 538, 519, 1977, 3162, 2073, 4180, 602, 4563, 4892, 7283, 31345, 269, 1261, 729, 606, 7537, 292, 840, 12329, 269, 808, 841, 619, 4847, 31852, 547, 4585, 519, 4728, 593, 7641, 269, 1677, 519, 3401, 262, 9983, 267, 519, 19632, 1895, 3459, 547, 15292, 689, 519, 6115, 31790, 547, 519, 12493, 17341, 1510, 873, 563, 21581, 827, 7385, 543, 5728, 8350, 321, 664, 3023, 693, 2138, 601, 912, 28519, 12022, 14534, 12168, 367, 405, 481, 25078, 12168, 366, 15906, 404, 361, 29756, 12168, 363, 269, 27755, 404, 511, 14534, 21333, 24291, 404, 371, 8294, 404, 355, 18716, 12168, 368, 20901, 21333, 24291, 404, 368, 14534, 14507, 18716, 454, 5445, 1942, 1079, 2395, 540, 3529, 267, 1519, 1694, 15564, 543, 5863, 4553, 676, 513, 1152, 2995, 693, 519, 4813, 518, 7577, 269, 21733, 5593, 11969, 20462, 14053, 513, 1057, 4195, 519, 5449, 781, 4666, 31081, 712, 267, 681, 755, 514, 3710, 543, 3366, 519, 4155, 540, 1079, 4627, 1004, 543, 2729, 945, 6404, 519, 1524, 8350, 321, 1690, 333, 2097, 519, 2053, 267, 20291, 519, 21772, 543, 7389, 267, 3177, 519, 2053, 267, 543, 1305, 909, 543, 9907, 782, 540, 519, 12102, 1004, 540, 513, 11164, 29087, 15292, 538, 519, 979, 781, 3854, 269, 1306, 519, 1101, 1297, 540, 971, 2490, 2479, 15748, 543, 9907, 676, 3979, 667, 919, 267, 519, 4155, 849, 729, 519, 1101, 547, 723, 922, 2186, 10199, 3765, 704, 18727, 538, 899, 269, 808, 841, 619, 4847, 6835, 547, 4585, 519, 7577, 593, 7641, 269, 634, 11968, 13353, 8648, 4607, 513, 5048, 1205, 922, 2729, 1131, 581, 10736, 543, 621, 1732, 513, 1554, 10912, 519, 12102, 513, 834, 301, 580, 3455, 32686, 29087, 2668, 1358, 1480, 547, 1445, 593, 2816, 16531, 543, 547, 1289, 585, 513, 11164, 29087, 1568, 1982, 602, 1131, 1297, 1064, 14476, 269, 570, 514, 1668, 26055, 12286, 1480, 2322, 267, 607, 1004, 15628, 18188, 12666, 3942, 5171, 607, 538, 23024, 27624, 32734, 1430, 2828, 269, 9741, 540, 891, 13685, 1007, 1265, 10479, 1427, 8932, 908, 1996, 2282, 3087, 2209, 269, 590, 1057, 1577, 1715, 13560, 781, 631, 14011, 547, 2196, 2754, 1016, 3118, 14884, 1310, 8317, 593, 12414, 476, 2764, 267, 543, 519, 1715, 13560, 1230, 7875, 566, 7385, 543, 5728, 8350, 321, 664, 3023, 693, 2138, 601, 7874, 729, 3529, 2429, 519, 3105, 609, 2887, 14609, 625, 269, 634, 3401, 1558, 519, 17638, 693, 26121, 22971, 267, 1141, 789, 2186, 7916, 693, 519, 5449, 540, 513, 15624, 538, 1249, 547, 581, 10736, 1412, 18490, 7385, 543, 5728, 8350, 321, 664, 3023, 693, 2138, 601, 15292, 8339, 17722, 11969, 20462, 543, 9530, 787, 681, 755, 514, 1577, 4058, 519, 861, 17036, 538, 11908, 10805, 3023, 1055, 2658, 3001, 13800, 269, 0, 295, 677, 22450, 1715, 10215, 7028, 513, 19618, 3119, 5823, 3210, 547, 2916, 1689, 563, 295, 677, 301, 313, 814, 5129, 513, 1883, 1909, 538, 25640, 519, 3119, 5823, 779, 4244, 11556, 267, 1261, 654, 10440, 661, 651, 3143, 320, 910, 3776, 8892, 538, 3776, 3946, 267, 547, 3035, 2916, 1689, 3853, 563, 763, 11556, 862, 1080, 547, 8236, 519, 8303, 15716, 9072, 269, 898, 6799, 513, 3102, 6388, 1544, 585, 519, 29009, 5823, 563, 2026, 2484, 607, 24972, 22450, 568, 7255, 267, 519, 11556, 862, 1080, 547, 3384, 606, 6388, 1544, 267, 1058, 621, 581, 7608, 676, 519, 6554, 269, 634, 1646, 540, 713, 1544, 1131, 3142, 1927, 519, 3003, 24972, 22450, 5823, 543, 1131, 581, 2919, 609, 2407, 15360, 563, 295, 677, 301, 313, 779, 8783, 6161, 568, 547, 2327, 602, 2199, 1426, 2504, 568, 6870, 607, 1715, 10215, 9060, 2081, 547, 2743, 922, 3486, 13800, 563, 4407, 1715, 10215, 779, 4829 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 296, 2119, 711, 547, 1216, 1034, 540, 519, 5251, 2371, 8259, 789, 2731, 2731, 616, 538, 991, 269, 769, 824, 1913, 267, 538, 1250, 21064, 4677, 543, 609, 519, 4054, 543, 19211, 267, 594, 786, 3622, 1216, 538, 3735, 4864, 952, 649, 723, 1185, 513, 3819, 11963, 563, 1103, 519, 2038, 851, 540, 519, 4005, 952, 594, 1175, 12630, 1007, 17506, 10118, 594, 1216, 593, 513, 2834, 4493, 952, 621, 779, 3819, 269, 23893, 3364, 609, 9241, 3964, 4054, 543, 19211, 267, 585, 693, 2547, 519, 1101, 2947, 1296, 563, 4913, 267, 1250, 14450, 1935, 538, 519, 10448, 4677, 568, 1114, 1813, 547, 519, 1249, 602, 519, 7031, 1373, 3812, 723, 513, 1360, 1164, 1216, 1543, 543, 4061, 267, 991, 7850, 7509, 563, 2690, 1383, 267, 1934, 616, 513, 1906, 5388, 543, 741, 2600, 1216, 1543, 281, 4414, 14274, 630, 11463, 5148, 18717, 630, 10844, 5148, 22282, 630, 11011, 5148, 29475, 630, 9834, 264, 543, 1990, 1075, 577, 7236, 630, 4817, 1916, 11997, 267, 952, 596, 616, 711, 3246, 1216, 547, 519, 10448, 4677, 547, 1832, 519, 3037, 14961, 5848, 267, 707, 3132, 4465, 1406, 1020, 607, 789, 1058, 563, 288, 1906, 12405, 3516, 267, 649, 1185, 513, 5147, 543, 4864, 609, 2834, 22856, 693, 1250, 2777, 269, 634, 18717, 941, 519, 1655, 789, 723, 2479, 1044, 269, 634, 6821, 540, 519, 18717, 941, 5394, 543, 519, 6492, 729, 14222, 563, 4002, 519, 824, 1688, 267, 538, 1296, 602, 594, 1810, 1406, 1832, 873, 530, 23926, 267, 519, 18717, 723, 6094, 6821, 543, 513, 1025, 663, 8137, 563, 5194, 3390, 649, 1294, 538, 519, 10448, 4677, 950, 519, 4764, 3884, 1406, 5812, 568, 19806, 558, 1439, 4232, 540, 14274, 543, 23601, 269, 901, 1966, 4386, 950, 11934, 616, 2901, 2731, 6632, 610, 2731, 3819, 267, 538, 824, 1913, 1282, 26037, 538, 3037, 7509, 563, 7922, 1601, 558, 1439, 4232, 4386, 950, 11934, 616, 2901, 2731, 6632, 610, 2731, 3819, 585, 606, 6905, 1974, 540, 942, 269, 898, 568, 1813, 547, 519, 1249, 602, 519, 2371, 666, 1406, 1491, 909, 519, 7513, 538, 519, 3037, 269, 16792, 7513, 610, 838, 7590, 4465, 1406, 948, 563, 2171, 666, 1406, 1852, 19806, 558, 1439, 4232, 950, 11934, 616, 6632, 543, 649, 723, 31934, 4764, 971, 607, 649, 1705, 2063, 1032, 269, 1284, 666, 267, 2705, 267, 1852, 519, 3665, 3819, 676, 3246, 519, 10759, 540, 1216, 513, 3018, 269, 0, 2005, 568, 1419, 4443, 547, 946, 513, 9498, 547, 4194, 891, 2010, 540, 2042, 267, 855, 621, 568, 849, 2009, 547, 798, 621, 676, 1688, 269, 1403, 596, 1616, 547, 2259, 3257, 621, 676, 1688, 267, 596, 949, 1616, 547, 5595, 2638, 707, 3070, 609, 513, 9498, 26063, 563, 272, 1315, 476, 23714, 815, 476, 271, 269, 19740, 454, 2026, 513, 18589, 615, 267, 649, 5000, 596, 547, 2638, 856, 938, 8454, 3296, 540, 519, 3896, 269, 4746, 2638, 856, 938, 4367, 547, 8918, 2338, 2376, 269, 17773, 666, 849, 581, 6719, 607, 8918, 2338, 799, 568, 513, 1297, 609, 513, 2898, 851, 543, 513, 27847, 851, 269, 769, 713, 3296, 267, 649, 1397, 596, 875, 547, 5173, 519, 3070, 547, 971, 2042, 593, 707, 1378, 563, 15919, 621, 568, 811, 3730, 547, 6655, 513, 1297, 607, 513, 8918, 1297, 2864, 982, 513, 6824, 610, 513, 6871, 269, 769, 1346, 2665, 267, 713, 1826, 540, 7503, 568, 5363, 563, 13436, 26271, 10819, 1432, 568, 476, 15171, 270, 2004, 607, 513, 8918, 286, 1548, 568, 476, 278, 270, 14862, 607, 513, 8918, 286, 1548, 568, 476, 10037, 270, 13679, 607, 513, 8918, 286, 1548, 568, 476, 4281, 270, 10441, 607, 513, 8918, 286, 1548, 568, 476, 14983, 270, 3192, 607, 513, 8918, 286, 1548, 568, 476, 9032, 270, 10602, 607, 513, 8918, 286, 1548, 568, 476, 3583, 270, 14028, 607, 513, 8918, 286, 1548, 568, 476, 1240, 270, 866, 607, 513, 8918, 286, 1548, 568, 476, 16318, 270, 1911, 607, 513, 8918, 286, 1548, 568, 476, 13040, 270, 14321, 607, 513, 8918, 888, 305, 24655, 4930, 10214, 543, 744, 9536, 10606, 11660, 3502, 566, 590, 4548, 17438, 3502, 566, 267, 7388, 618, 6715, 619, 267, 8641, 532, 6715, 619, 10374, 10406, 2051, 1467, 10846, 9537, 540, 21121, 0, 268, 476, 272, 1548, 568, 606, 1383, 540, 11733, 538, 513, 6648, 888, 268, 476, 273, 1548, 779, 606, 1383, 540, 11733, 888, 268, 476, 274, 1548, 1281, 11733, 1611, 538, 6965, 888, 268, 476, 275, 1548, 616, 519, 476, 275, 2010, 540, 11733, 888, 268, 476, 276, 1548, 568, 519, 22565, 543, 11733, 540, 513, 6648, 888, 268, 476, 277, 1215, 666, 594, 946, 11733, 538, 513, 4845, 888, 268, 476, 278, 1548, 616, 476, 276, 1806, 540, 17279, 888, 268, 476, 279, 1548, 568, 513, 11733, 538, 1603, 888, 268, 476, 280, 1548, 568, 513, 2241, 11733, 888, 268, 476, 1015, 1548, 568, 3017, 1063, 22565, 543, 11733, 888, 268, 476, 1556, 1548, 616, 519, 2010, 540, 11733, 538, 6965, 888, 268, 476, 1321, 1215, 798, 596, 1711, 11733, 888, 268, 476, 1724, 1215, 798, 596, 1711, 11733, 538, 1603, 888, 268, 476, 1691, 1548, 568, 11733, 538, 2296, 8239, 888, 1432, 568, 606, 1383, 540, 11733, 538, 513, 6648, 888, 307, 549, 3832, 324, 1765, 763, 6587, 540, 606, 1775, 3711, 267, 513, 7708, 3832, 324, 568, 835, 14129, 27612, 4553, 676, 835, 13417, 5962, 27612, 269, 6201, 540, 7708, 3832, 525, 281, 9338, 30198, 267, 19836, 2839, 2464, 2742, 573, 267, 27107, 305, 16489, 269, 1975, 1180, 2465, 1765, 288, 838, 1180, 2465, 568, 513, 4806, 540, 1079, 7766, 14129, 24424, 563, 1432, 779, 606, 1383, 540, 11733, 888, 1103, 1775, 3711, 545, 20008, 600, 2678, 267, 1142, 1899, 540, 6965, 814, 476, 1015, 24424, 602, 14595, 538, 606, 13417, 5962, 267, 14129, 24754, 4806, 269, 968, 307, 685, 13195, 519, 13957, 6969, 8285, 892, 814, 513, 11733, 602, 568, 2813, 676, 1210, 513, 4806, 540, 1079, 13417, 5962, 543, 835, 14129, 27612, 281, 570, 685, 13195, 519, 3781, 1354, 8285, 543, 782, 998, 519, 2777, 563, 1432, 1281, 11733, 1611, 538, 6965, 888, 2304, 2912, 1043, 4806, 538, 14235, 3964, 676, 519, 11996, 1063, 14129, 24424, 269, 968, 305, 20263, 5932, 513, 4806, 540, 1032, 940, 543, 20772, 267, 540, 24088, 543, 3017, 2223, 32625, 11977, 670, 15077, 577, 538, 1010, 1557, 593, 11733, 267, 968, 11073, 540, 519, 595, 2784, 548, 7736, 8393, 9412, 532, 1848, 6423, 849, 11281, 269, 17826, 18225, 563, 1432, 616, 519, 476, 275, 2010, 540, 11733, 888, 2171, 666, 946, 2947, 2010, 540, 11733, 912, 268, 15932, 681, 20263, 563, 268, 8617, 681, 20263, 563, 268, 10201, 908, 681, 20263, 563, 268, 10046, 532, 681, 20263, 563, 268, 28626, 681, 20263, 563, 1432, 568, 519, 22565, 543, 11733, 540, 513, 6648, 888, 305, 20263, 568, 519, 4806, 540, 1893, 538, 513, 1899, 540, 513, 6648, 267, 6825, 676, 519, 14129, 543, 13417, 5962, 24424, 538, 519, 1913, 269, 681, 1506, 1889, 267, 593, 519, 824, 1688, 267, 568, 519, 12805, 909, 540, 4992, 543, 24424, 267, 2356, 693, 519, 1439, 540, 3515, 269, 8625, 267, 789, 1118, 909, 519, 5943, 540, 1082, 9954, 543, 948, 547, 5094, 6965, 689, 18340, 1603, 563, 1692, 666, 594, 946, 11733, 538, 513, 4845, 888, 305, 20263, 4845, 1383, 454, 268, 1261, 1767, 2370, 3116, 267, 543, 1200, 7244, 4166, 8593, 883, 11733, 609, 1010, 563, 268, 634, 2511, 543, 11733, 267, 8197, 267, 941, 711, 4010, 5164, 326, 27482, 282, 855, 519, 8144, 1336, 1082, 23507, 3464, 267, 543, 729, 1224, 609, 12257, 676, 15352, 5128, 563, 268, 9453, 513, 2262, 267, 1352, 1793, 5792, 883, 1010, 7916, 543, 8593, 883, 519, 11733, 540, 1010, 1900, 563, 1432, 616, 476, 276, 1806, 540, 17279, 888, 14300, 540, 3115, 564, 819, 281, 2913, 621, 6777, 267, 1577, 621, 6777, 267, 1577, 621, 6777, 269, 968, 17764, 267, 530, 4141, 995, 267, 19315, 530, 4141, 995, 267, 530, 4141, 995, 267, 530, 4141, 995, 1554, 256, 968, 4517, 5195, 547, 979, 1354, 594, 3207, 267, 543, 5195, 547, 979, 1354, 594, 3207, 3034, 1432, 568, 513, 11733, 538, 1603, 888, 305, 20263, 568, 519, 4806, 540, 17613, 1369, 513, 1899, 540, 14235, 269, 2353, 9275, 2262, 814, 513, 11733, 4646, 676, 14129, 543, 13417, 5962, 28924, 1963, 269, 1879, 596, 2328, 1913, 538, 513, 4845, 596, 786, 5469, 3270, 8108, 563, 1432, 568, 513, 2241, 11733, 888, 288, 5929, 1383, 540, 513, 2241, 11733, 568, 476, 275, 270, 275, 799, 1797, 972, 616, 476, 275, 20054, 269, 538, 1142, 3046, 269, 901, 568, 519, 1034, 1455, 11733, 269, 634, 1034, 1455, 11281, 538, 2575, 568, 476, 275, 270, 275, 269, 769, 476, 275, 270, 275, 267, 519, 2338, 2995, 596, 602, 1142, 3046, 3568, 2185, 10116, 563, 1432, 568, 3017, 1063, 22565, 543, 11733, 888, 305, 1506, 1889, 568, 513, 4806, 540, 1913, 602, 2270, 2147, 4992, 269, 681, 20263, 281, 634, 8675, 6645, 721, 621, 568, 968, 320, 3350, 609, 7833, 24088, 540, 513, 10726, 610, 20020, 1848, 769, 922, 1835, 644, 652, 1106, 11733, 814, 513, 10726, 609, 2370, 610, 1100, 2495, 269, 681, 1506, 1889, 568, 711, 1152, 513, 24088, 855, 513, 12805, 540, 4992, 563, 1432, 616, 519, 2010, 540, 11733, 538, 6965, 888, 12626, 6965, 18271, 2947, 2596, 18819, 540, 8795, 14129, 630, 270, 264, 543, 13417, 5962, 630, 343, 264, 24424, 269, 634, 7397, 616, 1775, 600, 2125, 267, 7708, 3832, 525, 267, 838, 1180, 4315, 267, 606, 777, 3949, 543, 546, 716, 2643, 338, 563, 1692, 798, 596, 1711, 11733, 888, 1103, 2575, 267, 11733, 568, 2813, 676, 20367, 3280, 543, 1875, 1606, 895, 936, 942, 269, 1879, 4967, 543, 22334, 616, 5129, 538, 22150, 11996, 649, 1205, 11733, 563, 1692, 798, 596, 1711, 11733, 538, 1603, 888, 2080, 616, 2947, 4388, 585, 7393, 707, 1603, 676, 11504, 547, 11733, 563, 268, 10201, 622, 22054, 20099, 269, 966, 776, 519, 2262, 1293, 585, 707, 5220, 2443, 711, 28879, 267, 711, 2555, 21154, 267, 855, 6923, 267, 1418, 1227, 563, 268, 4039, 11229, 9293, 543, 1912, 29320, 563, 268, 22737, 22054, 32746, 906, 563, 268, 26969, 681, 20263, 547, 28239, 563, 268, 15233, 570, 3290, 543, 24793, 563, 1432, 568, 11733, 538, 2296, 8239, 888, 305, 20263, 568, 3989, 607, 968, 320, 2178, 4806, 540, 4992, 267, 1913, 267, 610, 7574, 4967, 602, 568, 1031, 538, 2575, 267, 6965, 267, 543, 15472, 1848, 634, 11733, 540, 2296, 1893, 5673, 593, 1079, 2010, 540, 2566, 269, 0, 295, 792, 762, 15306, 12367, 2549, 680, 1518, 519, 8892, 540, 14675, 454, 20606, 476, 1789, 267, 476, 1708, 271, 454, 295, 8960, 11226, 543, 17391, 3457, 2899, 941, 5393, 524, 13246, 727, 282, 519, 9998, 6217, 11226, 941, 1804, 25041, 564, 6438, 7405, 602, 835, 4371, 883, 519, 1274, 267, 855, 891, 3457, 5555, 2968, 811, 19242, 267, 607, 6217, 3457, 941, 2919, 602, 3514, 883, 519, 1274, 12324, 269, 1452, 3631, 14201, 1406, 15739, 564, 267, 543, 741, 17391, 29208, 849, 729, 9444, 4998, 6862, 3501, 269, 1717, 267, 519, 6217, 5351, 5555, 7960, 883, 519, 3297, 7308, 268, 792, 2203, 649, 5431, 2221, 269, 4653, 779, 6217, 11226, 4183, 5969, 6316, 2029, 602, 666, 9583, 14897, 3297, 519, 1274, 543, 1256, 7148, 883, 16389, 543, 824, 3457, 269, 670, 792, 762, 10509, 3466, 24244, 519, 2104, 540, 6217, 11226, 543, 786, 948, 32135, 519, 16663, 5185, 676, 1346, 945, 616, 8995, 609, 6217, 2530, 269, 10251, 267, 4505, 6217, 5351, 3631, 1765, 16838, 1346, 513, 1906, 5756, 3516, 1765, 342, 7967, 1406, 865, 11617, 13267, 267, 543, 741, 5920, 2693, 8329, 547, 519, 16663, 5185, 676, 1346, 945, 4810, 6217, 2530, 267, 2523, 1453, 269, 24771, 4079, 267, 2705, 267, 949, 1869, 1226, 622, 513, 6217, 15717, 547, 513, 6526, 1006, 540, 2025, 2085, 543, 2070, 6217, 11226, 607, 606, 7915, 543, 21286, 1514, 8467, 269, 16777, 2752, 5058, 15978, 11123, 8863, 6579, 11403, 2894, 281, 13673, 966, 8104, 16604, 1299, 589, 21832, 631, 5357, 291, 1280, 1453, 267, 519, 3308, 2460, 540, 6217, 11226, 949, 581, 2404, 609, 606, 513, 11437, 547, 5957, 873, 269, 3509, 3214, 1616, 547, 3514, 883, 741, 9263, 1895, 267, 543, 1022, 3017, 1765, 16838, 13581, 1765, 16673, 2014, 513, 1126, 547, 1745, 588, 25634, 1242, 610, 26723, 2350, 1242, 269, 17925, 6217, 11226, 2097, 538, 1896, 6272, 281, 3297, 7308, 268, 792, 630, 6630, 292 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 300, 4696, 3041, 2177, 589, 3818, 2987, 560, 6627, 2319, 540, 3173, 814, 2919, 513, 1007, 23282, 7051, 8665, 585, 9196, 519, 16063, 630, 22835, 264, 8778, 269, 901, 2922, 267, 1875, 514, 15230, 1505, 585, 12570, 519, 1599, 543, 3601, 540, 519, 22542, 8778, 538, 1483, 942, 1223, 1291, 547, 1732, 5868, 543, 2126, 540, 8937, 3676, 563, 26877, 1145, 525, 971, 607, 1507, 15108, 9190, 936, 29115, 267, 8886, 762, 15108, 6794, 543, 12982, 15108, 2068, 782, 2049, 538, 519, 16892, 543, 666, 1291, 547, 3978, 2427, 2360, 538, 2550, 609, 3676, 971, 607, 3987, 543, 19576, 781, 563, 29128, 1631, 267, 972, 18387, 1405, 1044, 513, 1434, 1259, 547, 1599, 958, 3239, 519, 16892, 269, 1717, 267, 538, 513, 1957, 3370, 593, 5147, 476, 277, 538, 519, 4760, 7186, 15089, 12771, 267, 519, 3173, 7152, 602, 998, 513, 14911, 1935, 1210, 8666, 659, 15064, 9196, 543, 27082, 1258, 12998, 29821, 630, 303, 4953, 1070, 789, 723, 2813, 513, 1617, 574, 27567, 6198, 9196, 8665, 602, 1223, 581, 1031, 547, 1685, 1875, 514, 15230, 6198, 9196, 540, 519, 16892, 538, 1483, 942, 563, 2171, 756, 334, 595, 2967, 606, 12314, 7548, 540, 2234, 5735, 267, 2564, 6323, 543, 24118, 4702, 693, 519, 2160, 540, 16855, 5336, 611, 2581, 5249, 29050, 609, 22189, 10753, 767, 331, 267, 606, 13930, 7548, 540, 24118, 4702, 693, 519, 3557, 2160, 540, 1715, 3840, 693, 30159, 267, 543, 932, 592, 327, 784, 13690, 267, 606, 13930, 7548, 540, 3860, 1344, 2029, 4702, 693, 623, 2129, 836, 2160, 540, 3163, 543, 5303, 538, 3162, 9705, 269, 634, 2319, 2919, 513, 1920, 540, 20543, 602, 666, 1683, 1434, 9804, 4334, 585, 9196, 2943, 2057, 10338, 883, 519, 1560, 543, 16641, 519, 10792, 2175, 540, 519, 7181, 543, 16892, 563, 25387, 267, 2550, 4235, 513, 25879, 344, 5277, 1572, 536, 10740, 543, 23390, 2070, 519, 16892, 998, 2473, 17530, 543, 16953, 269, 1452, 2409, 267, 2705, 267, 723, 1082, 7687, 267, 1519, 10333, 543, 519, 7872, 540, 5982, 4598, 563, 763, 3173, 262, 20543, 2270, 6505, 24470, 269, 14904, 1869, 786, 4235, 513, 5277, 267, 855, 621, 786, 2270, 519, 14255, 454, 347, 23086, 281, 1284, 756, 334, 595, 2967, 2008, 17206, 540, 16855, 5336, 611, 2581, 0, 25200, 281, 27285, 20540, 281, 27286, 1607, 7688, 5161, 540, 476, 276, 2789, 3903, 543, 476, 276, 2110, 2626, 2055, 998, 12339, 21442, 16549, 1529, 6541, 563, 21296, 14893, 5999, 454, 272, 269, 6904, 1826, 540, 8706, 1235, 941, 10982, 26359, 547, 1451, 741, 3401, 941, 8149, 547, 22030, 267, 2687, 547, 29945, 888, 5416, 264, 21829, 8706, 1235, 563, 6357, 264, 20271, 894, 8706, 1235, 563, 6262, 264, 21637, 626, 8706, 1235, 563, 5560, 264, 7101, 673, 8706, 1235, 563, 273, 269, 670, 23697, 10645, 602, 585, 22158, 547, 22919, 11610, 267, 1018, 1590, 581, 2139, 585, 519, 13999, 267, 2523, 519, 1762, 888, 5416, 264, 12409, 3255, 563, 6357, 264, 19396, 3255, 563, 5560, 264, 12339, 21442, 2516, 543, 15731, 563, 274, 269, 670, 23697, 6811, 602, 799, 1895, 568, 3843, 547, 4894, 2021, 781, 2090, 6030, 888, 275, 269, 5808, 610, 1018, 616, 519, 9601, 540, 519, 30013, 1062, 29945, 262, 6257, 888, 5416, 264, 634, 4346, 563, 6357, 264, 9093, 543, 2021, 563, 276, 269, 1548, 1826, 540, 22030, 1705, 29945, 4766, 1082, 15594, 3401, 607, 20401, 532, 547, 888, 14112, 8382, 5999, 454, 272, 269, 670, 23697, 4718, 602, 930, 3043, 3401, 941, 693, 1101, 11259, 547, 1519, 519, 9620, 540, 1018, 1826, 540, 2021, 538, 5935, 15594, 2219, 888, 273, 269, 1548, 8717, 1705, 519, 1433, 589, 514, 1405, 594, 513, 19716, 2232, 888, 274, 269, 670, 23697, 6811, 602, 3023, 1143, 1223, 1152, 581, 17515, 950, 2367, 7691, 799, 540, 519, 1739, 888, 275, 269, 670, 23697, 10645, 602, 519, 2021, 945, 6836, 547, 3715, 519, 15594, 16786, 585, 2021, 538, 3791, 8996, 2477, 941, 13380, 547, 945, 888, 276, 269, 1548, 1281, 519, 2262, 3765, 690, 2106, 344, 9305, 547, 888, 1607, 3296, 3568, 476, 26801, 1913, 454, 26140, 269, 476, 272, 2985, 693, 476, 4968, 1913, 829, 2985, 264, 0, 25200, 281, 27285, 20540, 281, 27286, 1607, 1449, 5161, 540, 476, 1428, 2789, 3903, 2055, 543, 476, 276, 2110, 2626, 2055, 563, 21296, 14893, 5999, 454, 272, 269, 7316, 568, 15182, 731, 623, 3881, 1512, 689, 888, 5416, 264, 10783, 570, 13516, 563, 6357, 264, 25882, 23374, 563, 273, 269, 1548, 616, 15182, 731, 781, 14930, 1572, 888, 5416, 264, 15182, 731, 543, 19375, 563, 6357, 264, 7585, 2421, 543, 10793, 563, 6262, 264, 9400, 543, 19378, 563, 5560, 264, 9400, 543, 2372, 534, 1695, 563, 274, 269, 1548, 1281, 519, 2278, 5635, 519, 6429, 540, 5181, 476, 276, 547, 888, 5416, 264, 654, 15903, 918, 26234, 7136, 21492, 563, 6357, 264, 8304, 322, 784, 8498, 936, 14725, 676, 476, 6977, 681, 3711, 657, 563, 6262, 264, 22307, 4536, 14027, 593, 12075, 1279, 3516, 563, 5560, 264, 634, 20242, 1206, 27632, 1824, 563, 275, 269, 1548, 568, 20057, 1194, 936, 3905, 7725, 538, 3848, 9050, 10117, 888, 5416, 264, 5682, 524, 25729, 563, 276, 269, 1548, 2165, 1281, 6307, 2232, 15182, 731, 609, 1354, 741, 7365, 888, 277, 269, 5808, 6238, 519, 26415, 19933, 4984, 888, 5416, 264, 15434, 5414, 21696, 563, 6357, 264, 8262, 14272, 563, 5560, 264, 918, 10107, 19594, 563, 278, 269, 769, 13961, 26919, 2757, 24570, 267, 1018, 568, 5116, 538, 519, 4099, 540, 513, 9133, 328, 888, 5416, 264, 20613, 626, 1164, 10412, 6229, 6529, 563, 6357, 264, 21690, 6371, 563, 6262, 264, 29042, 10612, 563, 279, 269, 1215, 2025, 729, 15182, 731, 18844, 13928, 950, 1010, 5289, 13344, 941, 1101, 8068, 888, 5416, 264, 12866, 1296, 2025, 563, 6357, 264, 9050, 10117, 1296, 2025, 563, 6262, 264, 20640, 1296, 2025, 563, 5560, 264, 14210, 1296, 2025, 563, 280, 269, 634, 535, 2644, 693, 654, 15903, 918, 26234, 5957, 31491, 720, 856, 22327, 610, 21718, 563, 5416, 264, 8614, 753, 543, 3954, 574, 695, 16630, 563, 6262, 264, 8752, 4544, 4303, 8566, 5979, 26357, 7057, 563, 5560, 264, 2353, 3109, 856, 22327, 563, 1015, 269, 1548, 1281, 7585, 2421, 26064, 932, 1618, 7544, 585, 538, 3848, 590, 4869, 8696, 888, 5416, 264, 1280, 1010, 7015, 781, 5305, 689, 21569, 563, 6357, 264, 1280, 519, 2669, 540, 1010, 3659, 563, 6262, 264, 1280, 519, 5305, 540, 15182, 731, 623, 3881, 1512, 563, 5560, 264, 1280, 1010, 7210, 4651, 563, 1556, 269, 1548, 12899, 1281, 6307, 3548, 538, 3848, 27607, 1354, 1352, 711, 1182, 27858, 10760, 936, 888, 5416, 264, 645, 8898, 10365, 856, 540, 513, 666, 563, 1321, 269, 1733, 846, 9221, 568, 4330, 607, 513, 6370, 3033, 540, 26711, 888, 5416, 264, 3627, 700, 877, 1546, 518, 563, 6357, 264, 28615, 4563, 4432, 330, 563, 1724, 269, 1215, 1279, 1281, 519, 26362, 693, 654, 15903, 918, 26234, 2063, 888, 5416, 264, 1530, 1203, 344, 14633, 2395, 563, 6357, 264, 18479, 1597, 2395, 563, 6262, 264, 18599, 4374, 563, 5560, 264, 5565, 3275, 563, 1691, 269, 1548, 798, 1082, 26415, 19933, 25249, 16833, 2933, 909, 609, 538, 519, 476, 866, 628, 2540, 888, 5416, 264, 772, 1186, 728, 1524, 1977, 17514, 563, 6357, 264, 30159, 3775, 525, 563, 6262, 264, 1546, 518, 2960, 563, 1428, 269, 5808, 3081, 267, 834, 296, 993, 519, 2063, 9758, 705, 10594, 710, 2451, 257, 888, 5416, 264, 15182, 731, 18844, 13928, 563, 6357, 264, 28615, 4563, 4432, 330, 563, 6262, 264, 8361, 18844, 13928, 563, 5560, 264, 1133, 2193, 9291, 26267, 3171, 1430, 338, 563, 14112, 8382, 5999, 454, 272, 269, 5808, 568, 519, 1292, 4387, 538, 3848, 14210, 888, 273, 269, 1548, 1281, 15182, 731, 2161, 2337, 1864, 581, 513, 1732, 31897, 982, 519, 3283, 646, 12034, 888, 274, 269, 5808, 3081, 267, 834, 300, 7394, 1379, 568, 2141, 811, 5906, 547, 606, 1727, 31395, 982, 2797, 3196, 257, 888, 275, 269, 1548, 798, 519, 31440, 9496, 543, 6146, 950, 789, 986, 573, 519, 18844, 17268, 888, 276, 269, 1548, 1281, 6307, 2012, 1200, 4816, 888, 1607, 3296, 3568, 476, 4375, 278, 1913, 454, 26140, 269, 476, 273, 3817, 693, 476, 4968, 1913, 829, 2985, 264, 0, 5472, 2713, 3965, 540, 602, 2112, 814, 1631, 5293, 2476, 281, 621, 568, 1631, 1686, 543, 1152, 519, 5251, 3788, 547, 7703, 7198, 547, 1346, 3520, 16781, 748, 2621, 269, 1809, 621, 568, 513, 5251, 1141, 942, 543, 2470, 723, 646, 4705, 519, 26711, 543, 2813, 4025, 540, 1390, 5898, 563, 4322, 11147, 616, 513, 8086, 2390, 519, 6073, 540, 602, 7067, 543, 519, 21047, 540, 2899, 11562, 532, 6082, 563, 763, 5354, 540, 1004, 798, 711, 3643, 15882, 610, 1148, 26847, 799, 8909, 569, 3947, 2048, 691, 685, 606, 608, 12807, 602, 3954, 625, 1034, 1004, 519, 4960, 547, 2671, 519, 1995, 269, 901, 960, 814, 1044, 2813, 547, 581, 3254, 538, 9205, 5468, 538, 1857, 4025, 547, 5512, 519, 6574, 2009, 1863, 1569, 547, 519, 1857, 563, 7628, 519, 1101, 5216, 3275, 540, 922, 6029, 538, 8303, 543, 5507, 621, 729, 2938, 676, 936, 476, 275, 2929, 1004, 543, 609, 8521, 5765, 28503, 538, 594, 30955, 267, 5507, 543, 1866, 2943, 547, 581, 9672, 267, 621, 568, 5310, 519, 1034, 4922, 9763, 1857, 14266, 593, 519, 3689, 2782, 547, 581, 2813, 585, 519, 1298, 32418, 1974, 563, 3519, 18727, 538, 5698, 609, 519, 3735, 7905, 9400, 29385, 267, 519, 12021, 4108, 14787, 267, 2278, 543, 3376, 322, 2120, 267, 621, 3576, 23031, 19375, 853, 24381, 2701, 559, 5216, 1296, 547, 1711, 519, 476, 736, 267, 1822, 2592, 689, 799, 713, 14266, 568, 5697, 269, 898, 568, 4440, 519, 1152, 1298, 32418, 14266, 799, 8942, 547, 9414, 519, 3486, 2470, 540, 519, 4655, 607, 621, 6227, 1169, 16222, 540, 519, 2112, 609, 339, 519, 9868, 540, 27859, 630, 296, 12036, 1040, 22353, 267, 621, 814, 2907, 1044, 3254, 538, 5722, 2477, 543, 4607, 7839, 2923, 3795, 1472, 519, 1158, 563, 6781, 913, 281, 634, 16099, 540, 13573, 918, 294, 593, 513, 4663, 540, 519, 4803, 5406, 609, 23031, 7812, 853, 24381, 2701, 559, 543, 30626, 540, 519, 11565, 4315, 2676, 306, 597, 18832, 14979, 30197, 4211, 6621, 269, 12005, 281, 6754, 9466, 19072, 776, 27213, 454, 763, 14266, 814, 1044, 1500, 2009, 609, 13384, 11208, 689, 519, 6181, 542, 267, 1927, 609, 519, 1489, 540, 519, 11595, 20769, 6670, 8750, 267, 20448, 2782, 3400, 1407, 8189, 267, 15875, 2782, 631, 13952, 267, 1284, 10919, 545, 279, 267, 634, 4964, 5948, 543, 6307, 27213, 16514, 7732, 563, 23175, 540, 3816, 27320, 693, 634, 9576, 3703, 6181, 542, 267, 3220, 15537, 22548, 651, 267, 1767, 912, 257, 2026, 519, 2817, 31654, 617, 1014, 540, 3816, 27320, 267, 621, 568, 1152, 17501, 602, 649, 948, 1004, 22632, 543, 1174, 519, 24279, 938, 20331, 17086, 723, 1500, 267, 543, 3136, 547, 1118, 269, 634, 22471, 559, 10207, 13269, 538, 891, 2592, 941, 2899, 986, 3101, 6370, 4610, 1141, 865, 1082, 5795, 865, 1454, 585, 741, 2197, 269, 901, 7415, 14266, 786, 2709, 5813, 883, 513, 4655, 602, 10077, 1042, 711, 1152, 2729, 855, 849, 519, 5251, 11014, 267, 543, 519, 9371, 602, 568, 2451, 3297, 513, 2540, 593, 4799, 21900, 19212, 543, 25071, 3391, 267, 7812, 853, 269, 24381, 2701, 559, 1767, 912, 10454, 1489, 540, 634, 9576, 3703, 6181, 542, 2488, 513, 5458, 5818, 585, 938, 5507, 8265, 19922, 1788, 267, 4543, 721, 6338, 519, 1641, 540, 519, 3689, 2622, 2782, 547, 9458, 945, 1522, 2760, 7363, 3643, 513, 9754, 610, 1148, 19922, 267, 543, 18136, 873, 547, 1294, 922, 6370, 26753, 607, 789, 616, 2221, 269, 1677, 3035, 713, 607, 513, 1863, 14266, 267, 649, 616, 882, 5050, 593, 519, 21464, 1489, 540, 519, 6181, 542, 543, 938, 824, 4891, 3034, 8802, 626, 1229, 17493, 29425, 540, 11135, 476, 1691, 268, 1240, 814, 2919, 513, 2189, 543, 2502, 4663, 532, 8265, 19922, 14266, 267, 1759, 711, 593, 519, 3520, 5558, 540, 2112, 267, 855, 593, 875, 936, 942, 267, 2470, 814, 646, 4705, 519, 6370, 26753, 267, 2870, 513, 3095, 1063, 519, 2413, 1554, 543, 519, 2123, 5559, 553, 543, 2984, 891, 12560, 8916, 1631, 12404, 563, 293, 3658, 540, 11135, 910, 14924, 540, 13458, 476, 1691, 268, 1240, 1281, 711, 3343, 547, 2491, 519, 1686, 540, 519, 3689, 2622, 2782, 267, 855, 2864, 11394, 547, 6338, 1004, 547, 519, 1641, 676, 13031, 930, 540, 519, 8916, 540, 6370 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 322, 566, 5654, 899, 713, 1384, 30631, 1302, 621, 786, 581, 519, 476, 278, 14282, 12543, 17679, 2044, 3579, 267, 855, 713, 568, 711, 1390, 585, 693, 2547, 1079, 4128, 692, 272, 269, 1548, 952, 594, 991, 811, 982, 476, 278, 12543, 888, 273, 269, 2368, 540, 519, 14282, 12543, 616, 2965, 3544, 713, 6978, 20372, 692, 307, 4459, 476, 272, 1107, 2422, 10862, 20313, 692, 763, 8945, 649, 946, 568, 547, 979, 1524, 5637, 5011, 540, 519, 8237, 1403, 649, 616, 968, 29148, 2614, 892, 630, 933, 3580, 22945, 713, 4166, 1040, 4475, 267, 3079, 540, 1739, 835, 2619, 538, 519, 9352, 3529, 267, 649, 1246, 1896, 811, 10092, 780, 1103, 519, 7222, 9352, 3529, 1384, 2791, 666, 19022, 513, 12939, 585, 519, 3845, 14612, 547, 519, 968, 342, 3994, 892, 2427, 540, 519, 8237, 269, 1403, 519, 12939, 568, 476, 271, 267, 621, 2141, 7575, 547, 519, 968, 322, 8091, 892, 2427, 540, 519, 8237, 269, 1717, 267, 952, 596, 1305, 519, 12939, 547, 476, 271, 269, 276, 267, 596, 786, 1205, 519, 1657, 3406, 2619, 780, 763, 5728, 1934, 568, 602, 596, 666, 2965, 946, 621, 269, 13405, 640, 20313, 9612, 585, 519, 6843, 15044, 676, 5021, 3845, 593, 519, 968, 342, 3994, 892, 2427, 269, 634, 1434, 851, 568, 602, 596, 666, 3406, 585, 5051, 1804, 29676, 4358, 693, 476, 271, 780, 307, 4459, 476, 273, 1107, 8073, 513, 11206, 540, 19029, 692, 763, 2034, 8945, 547, 946, 568, 547, 1628, 269, 31849, 540, 4054, 1325, 5362, 722, 489, 25991, 320, 4104, 907, 3962, 3529, 568, 3710, 609, 513, 4351, 1305, 540, 10943, 1080, 269, 9612, 782, 891, 4054, 693, 519, 1482, 942, 780, 2791, 666, 3406, 782, 4054, 693, 519, 1482, 942, 1210, 835, 10862, 20313, 269, 901, 814, 519, 3773, 4324, 540, 2519, 519, 3406, 593, 519, 968, 12895, 892, 3529, 585, 1142, 13214, 269, 674, 691, 4554, 689, 519, 13214, 1448, 269, 780, 9336, 3529, 3568, 782, 519, 2798, 267, 865, 952, 596, 3406, 1082, 4054, 267, 596, 786, 1265, 930, 2798, 538, 2789, 4054, 269, 18391, 693, 519, 6443, 540, 6978, 9136, 267, 649, 1205, 513, 7168, 1434, 8378, 780, 4263, 713, 1448, 267, 649, 562, 9229, 621, 547, 513, 1305, 540, 1507, 2798, 269, 8074, 602, 865, 2484, 649, 10093, 1406, 1256, 7229, 519, 3845, 547, 513, 2582, 1448, 269, 634, 1985, 1900, 568, 547, 5173, 782, 519, 9883, 543, 7584, 519, 2798, 780, 2005, 1287, 12204, 782, 519, 9136, 676, 3845, 543, 7024, 519, 14282, 918, 16250, 11732, 7023, 269, 1215, 8799, 256, 1656, 602, 779, 875, 519, 3406, 5690, 1568, 538, 7788, 1195, 780, 2750, 1061, 585, 835, 269, 769, 713, 2013, 267, 621, 7140, 856, 602, 594, 2965, 14406, 930, 5007, 2798, 780, 3719, 519, 30414, 589, 568, 20976, 1493, 1656, 621, 568, 7989, 24777, 547, 4413, 930, 2798, 269, 7788, 1195, 2965, 814, 513, 5679, 984, 602, 596, 666, 17408, 752, 630, 14142, 17624, 1607, 2636, 585, 513, 4123, 11325, 1063, 2773, 630, 5503, 264, 543, 6111, 630, 638, 1275, 6393, 763, 2949, 2856, 3297, 519, 19406, 5690, 568, 602, 2773, 666, 581, 3648, 4824, 630, 2421, 9753, 540, 9588, 264, 693, 519, 13258, 540, 513, 1507, 2179, 540, 6111, 269, 1280, 1383, 267, 596, 666, 2965, 2132, 513, 5078, 3070, 602, 21410, 1152, 519, 3845, 540, 476, 272, 260, 540, 519, 2798, 269, 901, 568, 513, 476, 1911, 343, 6454, 936, 476, 1911, 260, 3406, 780, 5415, 4054, 616, 2141, 5363, 269, 1411, 666, 2333, 519, 8458, 540, 4466, 513, 8237, 538, 3870, 540, 7788, 1195, 676, 4946, 811, 4054, 269, 15394, 596, 1616, 547, 6318, 621, 607, 1164, 607, 2009, 1510, 4881, 856, 540, 3965, 780, 23087, 281, 7788, 1195, 779, 5690, 692, 7093, 3491, 22422, 942, 1384, 272, 269, 12706, 513, 22753, 540, 9352, 4054, 269, 1280, 1142, 3529, 267, 16571, 1947, 7941, 782, 2798, 676, 513, 4351, 5409, 30350, 780, 5226, 2044, 942, 1384, 272, 269, 23453, 519, 3597, 540, 1142, 3529, 883, 519, 10862, 20313, 454, 273, 269, 9612, 782, 4054, 1210, 10862, 6446, 1132, 2394, 9041, 14142, 17624, 9041, 322, 663, 573, 919, 616, 2813, 454, 274, 269, 17179, 26134, 10457, 454, 275, 269, 12433, 519, 3845, 547, 519, 11134, 454, 276, 269, 23037, 10457, 676, 3845, 454, 277, 269, 17776, 519, 1283, 835, 692, 8923, 1745, 1863, 547, 2638, 9041, 24708, 4671, 872, 1656, 9041, 1326, 318, 718, 5332, 985, 538, 20714, 12221, 19544, 692, 6546, 779, 782, 585, 713, 2022, 269, 2859, 568, 4947, 21354, 689, 519, 6881, 269, 3528, 519, 1259, 267, 1577, 779, 1491, 513, 1413, 13472, 267, 1656, 2638, 856, 8943, 547, 5352, 782, 11708, 769, 713, 2022, 780, 30357, 3101, 609, 2433, 267, 2979, 0, 258, 1772, 519, 1931, 540, 513, 23479, 540, 519, 3818, 2364, 894, 1895, 540, 9981, 513, 6305, 1379, 952, 519, 1895, 568, 28023, 2496, 296, 993, 3168, 693, 519, 3818, 2364, 894, 1895, 540, 9981, 1110, 25222, 3230, 333, 18079, 20922, 6695, 13992, 346, 313, 20731, 333, 317, 265, 18079, 543, 922, 1016, 25364, 270, 638, 582, 1304, 2516, 269, 1280, 513, 1297, 3230, 335, 1422, 514, 1422, 13992, 346, 313, 6525, 649, 20301, 6695, 8663, 22669, 348, 1422, 514, 1422, 13992, 346, 313, 20731, 333, 317, 265, 21974, 1284, 616, 2016, 602, 6695, 13992, 346, 313, 20731, 333, 317, 265, 270, 295, 2330, 568, 28023, 267, 1141, 3230, 295, 7807, 30848, 1422, 8663, 22669, 348, 1422, 26917, 2330, 585, 513, 6305, 1297, 3230, 335, 2330, 799, 1281, 711, 7941, 3230, 333, 21974, 17166, 3230, 24689, 13992, 346, 313, 20731, 333, 317, 265, 347, 284, 331, 24206, 546, 2330, 1141, 3230, 347, 295, 347, 284, 323, 21974, 1548, 666, 649, 2161, 827, 519, 1297, 3230, 331, 2330, 2496, 296, 917, 952, 3230, 333, 815, 533, 318, 272, 3867, 330, 318, 272, 4153, 25854, 533, 24417, 3867, 330, 24417, 6525, 1287, 6695, 13992, 346, 313, 20731, 333, 317, 265, 1422, 338, 830, 336, 1422, 13992, 346, 313, 13925, 335, 318, 272, 3867, 330, 318, 272, 3686, 317, 265, 315, 9392, 1422, 25854, 1422, 9392, 1422, 13992, 346, 313, 13925, 335, 318, 272, 3867, 330, 24417, 3686, 317, 265, 21974, 1280, 9642, 22136, 1142, 540, 891, 2188, 616, 28023, 630, 553, 1134, 607, 585, 3230, 335, 10983, 284, 273, 267, 737, 10983, 815, 476, 271, 267, 272, 267, 273, 2330, 1040, 1284, 917, 602, 3230, 331, 2330, 3884, 1405, 8209, 6305, 267, 2094, 649, 1223, 1205, 3230, 333, 284, 335, 318, 272, 335, 318, 273, 317, 330, 267, 737, 285, 272, 2330, 543, 602, 3230, 347, 295, 347, 284, 335, 318, 272, 18079, 855, 666, 3230, 331, 2330, 581, 1945, 3116, 982, 513, 6305, 1379, 286, 9320, 621, 568, 4443, 547, 6961, 602, 3230, 323, 2330, 543, 3230, 331, 2330, 616, 2941, 31870, 2496, 1892, 3502, 2386, 1018, 596, 1611, 676, 834, 20123, 328, 2364, 894, 1895, 540, 9981, 1110, 25222, 1269, 333, 259, 2668, 1411, 1611, 834, 16766, 540, 538, 3200, 1043, 2609, 540, 4399, 13992, 346, 313, 20731, 333, 259, 22172, 4924, 476, 1321, 1412, 2641, 693, 476, 866, 281, 7906, 454, 1892, 589, 4399, 527, 346, 684, 1388, 4151, 8258, 630, 7445, 527, 346, 531, 5040, 4151, 264, 568, 513, 8258, 609, 513, 3818, 2364, 894, 3961, 3693, 1572, 519, 4399, 527, 346, 29774, 4151, 540, 602, 8258, 269, 589, 796, 1388, 8258, 3693, 602, 814, 513, 3818, 2364, 894, 11201, 568, 1572, 513, 4399, 527, 346, 22780, 4151, 540, 602, 8258, 269, 634, 4559, 1895, 267, 2895, 320, 1227, 20922, 4399, 24837, 772, 3799, 7751, 585, 519, 8258, 4399, 289, 6277, 2098, 5332, 8961, 540, 513, 796, 1388, 8258, 568, 519, 3818, 2364, 894, 1895, 1500, 540, 602, 8258, 781, 4559, 269, 4924, 476, 1724, 1412, 2641, 693, 476, 274, 281, 1015, 454, 1892, 8786, 519, 2165, 4016, 547, 519, 4559, 538, 519, 8258, 4399, 13992, 346, 313, 20731, 333, 259, 4924, 476, 1724, 1412, 2641, 693, 476, 1724, 281, 2764, 692, 5591, 269, 634, 2450, 540, 519, 23479, 991, 711, 581, 513, 6305, 1379, 269, 6333, 519, 2361, 6695, 289, 6277, 674, 3709, 4029, 348, 281, 7807, 2765, 3189, 289, 6277, 2098, 2410, 4029, 315, 289, 6277, 2098, 6525, 543, 20301, 676, 6695, 10400, 1535, 2330, 519, 21225, 1362, 3230, 343, 266, 4029, 315, 289, 6277, 2098, 21974, 1306, 840, 572, 8282, 538, 519, 20525, 519, 6305, 3230, 273, 2330, 568, 513, 11347, 540, 519, 21225, 1362, 6695, 10400, 476, 273, 2330, 855, 6695, 10400, 476, 273, 317, 276, 7807, 10400, 346, 3953, 18098, 10400, 476, 272, 20939, 20939, 20939, 20939, 20939, 315, 11004, 1150, 20939, 24689, 30848, 315, 10400, 476, 273, 315, 26917, 3709, 15857, 347, 284, 276, 2330, 1141, 6695, 289, 6277, 674, 3709, 4029, 11892, 15846, 7807, 289, 6277, 674, 3709, 4029, 4153, 3553, 2381, 639, 315, 3189, 10400, 476, 271, 315, 6525, 568, 519, 6695, 289, 6277, 674, 3709, 4029, 6525, 7094, 545, 4559, 1895, 540, 2450, 3230, 1789, 2330, 543, 6695, 30848, 315, 10400, 476, 273, 315, 26917, 318, 265, 2330, 568, 519, 6695, 289, 6277, 674, 3709, 4029, 11892, 265, 2330, 32299, 6383, 676, 6695, 10400, 476, 273, 21974, 1717, 267, 3230, 24689, 2765, 3189, 289, 6277, 674, 3709, 4029, 11892, 265, 7346, 30848, 315, 10400, 476, 273, 315, 26917, 3709, 265, 3686, 347, 7807, 2765, 346, 1789, 2410, 276, 13157, 277, 2330, 855, 3230, 277, 2330, 568, 711, 513, 6305, 1379, 269, 0, 1432, 568, 519, 4090, 540, 24880, 540, 513, 11425, 609, 513, 2527, 540, 476, 278, 4846, 543, 3259, 540, 476, 273, 544, 602, 568, 18343, 1472, 922, 4099, 2496, 10190, 4001, 519, 5817, 2035, 454, 10673, 1405, 5299, 1510, 19696, 2959, 454, 2181, 1613, 454, 2496, 15008, 692, 23737, 538, 1469, 13718, 15008, 1384, 296, 1616, 2576, 547, 5595, 2638, 1250, 2626, 692, 272, 454, 301, 600, 667, 269, 9523, 454, 11321, 476, 280, 267, 476, 1001, 279, 692, 259, 296, 815, 476, 1691, 1422, 3553, 2381, 639, 11513, 3667, 346, 11899, 544, 3686, 3867, 273, 10592, 15008, 1384, 763, 4090, 540, 24880, 540, 513, 11425, 568, 2016, 676, 1384, 259, 296, 815, 1422, 2765, 346, 272, 2410, 273, 348, 631, 2715, 299, 8703, 273, 10592, 13126, 1384, 10674, 2517, 30104, 874, 12695, 269, 19148, 268, 770, 337, 3052, 24175, 12975, 10774, 19668, 8276, 328, 273, 11258, 692, 2171, 3893, 281, 1269, 300, 815, 476, 278, 1422, 3553, 2381, 639, 1422, 3667, 346, 11899, 2580, 700, 284, 273, 1422, 834, 332, 10592, 7445, 11004, 1150, 594, 815, 1422, 2765, 346, 272, 2410, 273, 348, 1422, 10383, 476, 278, 1422, 3553, 2381, 639, 11513, 3667, 346, 11899, 257, 265, 275, 1422, 834, 332, 3686, 3867, 273, 10592, 259, 284, 476, 1691, 1422, 3553, 2381, 639, 11513, 3667, 346, 11899, 544, 3686, 3867, 273, 10592, 1892, 476, 866, 3764, 3516, 454, 1892, 476, 736, 3764, 3516, 454, 1892, 476, 2641, 3764, 3516, 454, 1892, 476, 2420, 3764, 3516, 454, 1892, 476, 273, 3764, 3516, 454, 1892, 476, 277, 3764, 3516, 454, 1892, 476, 278, 3764, 3516, 454, 1892, 476, 1015, 3764, 3516, 454, 1892, 476, 1691, 3764, 3516, 454, 1892, 476, 1691, 3764, 3516, 454, 1892, 476, 866, 3764, 3516, 454, 1892, 476, 736, 3764, 3516, 454, 1892, 476, 2641, 3764, 3516, 454, 1892, 476, 2420, 3764, 3516, 0, 258, 4208, 568, 519, 4009, 3597, 540, 4888, 312, 8870, 602, 568, 711, 513, 3501, 4009, 2141, 606, 19450, 1297, 2496, 2252, 267, 1282, 1346, 19309, 8090, 1141, 596, 7329, 569, 20399, 2338, 883, 606, 5907, 9498, 543, 14477, 5734, 1599, 16181, 267, 596, 5129, 14916, 609, 519, 4009, 3597, 1599, 1107, 596, 1522, 723, 2938, 1945, 4277, 269, 1109, 3038, 3660, 602, 519, 8870, 596, 1883, 539, 538, 729, 711, 3294, 513, 3501, 4009, 267, 1287, 519, 1267, 540, 10296, 519, 4009, 3597, 7735, 2141, 8604, 547, 3132, 606, 19450, 1297, 1107, 875, 9642, 568, 602, 1287, 286, 1109, 594, 3357, 2066, 513, 6169, 602, 519, 4009, 3597, 540, 476, 273, 568, 19450, 1107, 8452, 693, 676, 513, 11207, 1114, 8905, 689, 519, 2343, 269, 1109, 634, 3339, 8905, 568, 519, 5553, 2025, 1487, 551, 1470, 740, 21494, 636, 269, 1109, 901, 968, 2908, 892, 8905, 594, 1336, 711, 1152, 4190, 267, 855, 5393, 3532, 538, 602, 621, 9863, 602, 519, 4009, 3597, 540, 1022, 8870, 602, 568, 711, 3294, 513, 3501, 4009, 786, 2141, 6556, 606, 19450, 269, 1109, 3371, 779, 875, 621, 4422, 780, 2171 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 563, 4407, 1978, 1883, 5665, 1062, 2035, 723, 7283, 7361, 11979, 267, 519, 2029, 1472, 799, 938, 2413, 1554, 10206, 540, 5665, 1949, 729, 3710, 814, 4957, 13497, 269, 769, 713, 1883, 16694, 267, 25599, 681, 1662, 573, 12116, 519, 4128, 1946, 938, 5665, 1949, 3357, 547, 581, 2966, 519, 1259, 789, 616, 543, 5654, 693, 875, 5051, 4028, 2242, 538, 2029, 949, 1450, 721, 547, 556, 20459, 519, 5665, 1062, 543, 3593, 8818, 1374, 269, 681, 1662, 573, 786, 6542, 1007, 4066, 543, 1382, 2987, 3491, 28698, 563, 347, 26607, 11888, 267, 2904, 476, 1428, 2008, 25413, 2264, 1646, 543, 5752, 3631, 616, 24228, 5051, 689, 519, 1353, 540, 1582, 268, 6716, 1944, 267, 1950, 1949, 267, 543, 2228, 11018, 4025, 616, 1631, 20651, 676, 7366, 540, 5215, 540, 3755, 269, 24697, 9652, 267, 1071, 2275, 805, 528, 540, 519, 5680, 2421, 268, 1177, 731, 20421, 21311, 2593, 2146, 3135, 267, 12116, 519, 4276, 1063, 3301, 543, 519, 834, 21346, 1947, 6252, 257, 2208, 543, 4720, 540, 1483, 8996, 4872, 269, 1280, 27453, 267, 4683, 7740, 723, 1044, 13830, 543, 13936, 1895, 1344, 609, 27314, 4398, 267, 2870, 16973, 602, 3713, 543, 13739, 3270, 540, 2623, 1394, 547, 741, 7264, 269, 1548, 4245, 1705, 519, 15888, 540, 21311, 1491, 689, 519, 6422, 2497, 540, 519, 1558, 24227, 267, 543, 875, 666, 3301, 9858, 4019, 1346, 3741, 3622, 888, 15187, 1740, 3354, 814, 1279, 1044, 2808, 606, 4702, 1966, 267, 543, 3549, 2119, 547, 4194, 621, 676, 7311, 4066, 269, 901, 1935, 568, 17528, 282, 519, 4066, 616, 17528, 543, 519, 1966, 568, 29083, 269, 1548, 649, 991, 616, 3354, 3157, 267, 971, 607, 7020, 267, 3210, 267, 543, 15658, 5270, 269, 1717, 267, 519, 1152, 1259, 547, 1205, 9746, 2359, 547, 18113, 2232, 3354, 568, 547, 1689, 519, 1981, 31193, 3830, 269, 901, 666, 581, 6913, 676, 30191, 20824, 267, 543, 4758, 9746, 2359, 519, 1797, 547, 2569, 610, 1202, 675, 1996, 1346, 20824, 269, 898, 781, 1152, 1310, 649, 798, 782, 540, 891, 1919, 602, 519, 5769, 786, 581, 513, 2922, 543, 5150, 1747, 563, 347, 32637, 267, 2904, 476, 1626, 2008, 5804, 519, 4098, 267, 5680, 7896, 723, 1044, 5497, 585, 3498, 547, 3498, 5610, 1141, 519, 2757, 7856, 1843, 3631, 3111, 269, 1677, 1118, 3498, 547, 3498, 5610, 15164, 267, 1614, 2934, 1590, 581, 9447, 281, 21432, 1178, 1441, 6835, 630, 852, 24701, 26437, 538, 14298, 4338, 543, 4330, 676, 654, 306, 13036, 1070, 607, 2106, 11388, 344, 630, 9188, 4933, 762, 676, 654, 306, 13036, 1070, 543, 29101, 13745, 30582, 269, 1452, 1360, 2596, 4170, 616, 2352, 547, 5838, 269, 14088, 18548, 10290, 7710, 891, 1614, 1883, 3334, 540, 5680, 7896, 543, 2488, 3606, 5813, 676, 5373, 1806, 689, 645, 12788, 781, 1007, 1788, 267, 3009, 5991, 3139, 834, 290, 1690, 684, 4799, 25187, 5270, 10815, 580, 786, 581, 8678, 676, 15156, 540, 519, 7046, 11905, 267, 7046, 25400, 267, 5680, 7896, 267, 543, 4441, 10600, 585, 513, 18367, 4901, 593, 519, 2104, 540, 5647, 538, 513, 942, 950, 5010, 543, 22257, 4690, 616, 16706, 741, 1852, 936, 21818, 267, 3301, 267, 1543, 267, 543, 14664, 4031, 547, 15641, 324, 6735, 269, 0, 295, 622, 568, 3989, 607, 4743, 606, 7920, 610, 13730, 771, 3697, 585, 2576, 269, 898, 1223, 1331, 1033, 20535, 2576, 610, 4743, 29383, 543, 1918, 13920, 2509, 513, 1880, 1268, 610, 1895, 540, 1004, 563, 19013, 538, 938, 1554, 267, 649, 4312, 8854, 865, 936, 519, 6316, 540, 4641, 602, 649, 18923, 5431, 938, 1378, 23998, 649, 723, 585, 824, 3425, 269, 898, 568, 3592, 607, 952, 649, 666, 1448, 519, 9416, 693, 2576, 3116, 945, 554, 919, 267, 855, 649, 666, 1405, 1294, 1018, 6013, 1369, 938, 1378, 2729, 269, 1284, 13842, 998, 27790, 543, 519, 18149, 31766, 540, 1866, 269, 1284, 13842, 998, 938, 14980, 1913, 543, 4555, 607, 1134, 607, 938, 3527, 563, 15371, 621, 568, 998, 519, 1913, 649, 2328, 593, 20822, 5048, 12545, 610, 6085, 6810, 593, 7270, 267, 649, 3262, 713, 8631, 883, 519, 1158, 269, 1411, 949, 1589, 596, 616, 20822, 267, 855, 538, 1082, 2081, 596, 616, 711, 269, 2368, 1004, 3442, 547, 884, 342, 621, 593, 7641, 3377, 3292, 610, 538, 782, 5686, 540, 7641, 2982, 543, 1866, 3442, 547, 7119, 607, 513, 21951, 543, 26575, 269, 898, 3085, 1405, 2339, 1018, 1106, 596, 4497, 538, 267, 13842, 568, 13842, 563, 10376, 1268, 4805, 6487, 1018, 568, 538, 741, 2295, 267, 855, 950, 649, 5873, 519, 8631, 884, 14954, 538, 3084, 3377, 267, 621, 3587, 2312, 547, 519, 3003, 1158, 269, 898, 1281, 711, 1118, 519, 1857, 4137, 1022, 8338, 982, 519, 1268, 945, 3788, 14980, 269, 1358, 1312, 723, 13842, 543, 621, 568, 8449, 16160, 547, 938, 1158, 563, 6624, 10617, 543, 32012, 885, 723, 1044, 10692, 543, 19500, 2390, 538, 519, 2012, 540, 13842, 269, 3509, 1004, 11542, 676, 1247, 891, 1919, 5949, 269, 1403, 596, 1589, 707, 13842, 3085, 1405, 2339, 610, 621, 568, 711, 1713, 2614, 267, 5225, 1491, 930, 942, 543, 1353, 1686, 269, 6423, 1018, 5949, 950, 13842, 729, 9800, 543, 1134, 563, 2171, 782, 1764, 1142, 824, 1256, 952, 621, 711, 538, 1463, 2081, 269, 1284, 1810, 1405, 723, 547, 917, 2576, 547, 1764, 873, 609, 938, 1378, 13842, 269, 3776, 4555, 1764, 713, 1158, 543, 7122, 538, 2081, 1082, 798, 711, 1294, 269, 5272, 2713, 543, 7244, 3364, 7959, 519, 13842, 602, 9070, 919, 2429, 938, 1158, 563, 295, 622, 30001, 269, 670, 622, 9292, 1206, 269, 670, 622, 14145, 1161, 543, 3217, 2476, 689, 1866, 269, 670, 622, 568, 711, 2318, 269, 670, 622, 568, 27790, 20386, 909, 609, 513, 6367, 269, 1879, 972, 568, 13842, 267, 2648, 568, 15534, 563, 1103, 713, 1554, 543, 2085, 267, 649, 1058, 581, 811, 7255, 827, 17666, 835, 1776, 909, 585, 519, 1434, 540, 782, 18495, 269, 1284, 1058, 581, 811, 7255, 609, 875, 666, 649, 1397, 2648, 547, 835, 1776, 267, 2864, 982, 782, 519, 1919, 602, 649, 771, 3697, 538, 1866, 269, 1284, 1058, 5855, 1447, 827, 32198, 1018, 2576, 1281, 267, 543, 3079, 1491, 11891, 540, 1018, 568, 538, 938, 1378, 2295, 267, 2247, 267, 543, 1560, 563, 2171, 723, 513, 3903, 547, 2901, 2648, 543, 12740, 835, 1776, 909, 547, 519, 1732, 618, 540, 519, 7104, 2247, 1560, 540, 519, 1158, 610, 649, 666, 3136, 547, 9794, 543, 13842, 835, 1776, 883, 21933, 643, 542, 269, 634, 3903, 568, 909, 547, 1142, 1367, 563, 295, 622, 568, 519, 9000, 540, 2648, 269, 19244, 1310, 803, 865, 649, 782, 1174, 713, 267, 13842, 568, 519, 9000, 540, 2648, 563, 7922, 690, 5403, 1656, 16103, 630, 322, 264, 476, 272, 270, 276, 270, 1691, 676, 5213, 2701, 339, 614, 569, 454, 268, 18983, 2153, 2838, 1354, 1022, 851, 540, 713, 5816, 2022, 568, 1065, 11781, 539, 267, 556, 5320, 539, 610, 1031, 538, 1022, 1106, 563, 268, 1411, 616, 20888, 547, 2671, 519, 700, 2562, 298, 547, 713, 5816, 2022, 269, 0, 303, 19948, 593, 6249, 281, 834, 296, 3913, 528, 766, 269, 4985, 23075, 4025, 513, 14167, 593, 1702, 630, 11990, 476, 279, 281, 4029, 268, 3953, 282, 476, 273, 7033, 269, 476, 273, 281, 1428, 268, 1704, 1040, 22695, 528, 766, 568, 513, 3982, 5289, 8594, 630, 295, 657, 269, 476, 275, 281, 277, 282, 257, 1765, 19809, 13973, 912, 7072, 23075, 4025, 513, 14167, 593, 1702, 630, 11990, 476, 279, 281, 4029, 268, 3953, 282, 476, 273, 7033, 269, 476, 273, 281, 1428, 268, 1704, 1040, 22695, 528, 766, 568, 513, 3982, 5289, 8594, 630, 295, 657, 269, 476, 275, 281, 277, 282, 7931, 269, 476, 272, 281, 1240, 268, 2537, 267, 476, 2764, 1916, 296, 3913, 528, 766, 4347, 1441, 634, 5259, 2262, 585, 1702, 267, 28594, 16230, 3974, 267, 2501, 689, 519, 3597, 28594, 16230, 269, 901, 3597, 568, 11251, 538, 519, 5259, 1913, 585, 22293, 267, 989, 333, 4141, 16230, 267, 989, 7224, 25207, 2742, 543, 989, 7224, 807, 1498, 538, 519, 2942, 1106, 269, 1403, 717, 333, 739, 6291, 4564, 513, 11348, 995, 21467, 332, 3508, 529, 593, 1702, 267, 22293, 19752, 606, 8449, 20093, 821, 748, 896, 8561, 593, 1620, 563, 296, 3913, 528, 766, 4347, 1441, 645, 7441, 1227, 6340, 267, 606, 17399, 656, 1268, 568, 796, 514, 11526, 269, 19768, 540, 1702, 949, 581, 519, 1267, 540, 538, 3430, 1549, 269, 16429, 568, 1419, 12082, 538, 5837, 21901, 269, 19768, 532, 5289, 20559, 618, 267, 2043, 4497, 538, 1065, 516, 2380, 1043, 2623, 267, 1098, 326, 7675, 519, 786, 540, 2696, 267, 2943, 23387, 540, 741, 25213, 563, 309, 8538, 3397, 333, 4141, 16230, 7338, 11225, 519, 8231, 989, 333, 4141, 16230, 267, 513, 7623, 540, 519, 2942, 18772, 543, 519, 1482, 607, 575, 514, 16230, 12921, 16230, 1496, 5228, 513, 18642, 3597, 28594, 16230, 268, 282, 547, 2097, 547, 917, 267, 5431, 267, 13498, 3910, 607, 968, 1729, 581, 17399, 656, 267, 711, 547, 917, 892, 4586, 301, 1735, 3397, 7224, 25207, 2742, 7338, 11225, 989, 7224, 25207, 2742, 267, 6508, 689, 989, 333, 4141, 16230, 1496, 1729, 581, 17399, 656, 267, 711, 547, 917, 3910, 607, 968, 320, 5609, 540, 22293, 892, 4586, 301, 1735, 3397, 7224, 807, 7338, 11225, 519, 10902, 989, 7224, 807, 267, 6508, 689, 989, 333, 4141, 16230, 1496, 1729, 581, 17399, 656, 267, 711, 547, 917, 3910, 607, 968, 793, 528, 766, 892, 4586, 18661, 779, 6282, 999, 16429, 995, 5274, 640, 630, 272, 8891, 269, 476, 272, 281, 1691, 268, 1626, 282, 32647, 269, 849, 476, 273, 281, 272, 268, 274, 264, 22918, 3796, 630, 8002, 338, 476, 1704, 281, 2420, 268, 2537, 267, 476, 1789, 268, 4029, 282, 661, 874, 269, 476, 275, 281, 1704, 268, 866, 264, 7642, 630, 8002, 338, 476, 274, 281, 1704, 282, 32647, 269, 849, 19279, 476, 2537, 281, 4097, 282, 20450, 476, 1724, 281, 2767, 994, 18661, 779, 18266, 634, 12280, 267, 8738, 658, 543, 1763, 18675, 540, 4906, 630, 15812, 476, 280, 281, 3953, 282, 19279, 476, 280, 281, 3393, 264, 634, 9877, 1145, 543, 9406, 15667, 1145, 540, 2696, 630, 305, 558, 269, 476, 273, 281, 275, 268, 1556, 282, 476, 1015, 281, 272, 268, 274, 264, 634, 7186, 540, 23586, 630, 305, 558, 269, 476, 277, 281, 272, 268, 275, 994, 18661, 779, 18266, 2507, 634, 808, 9766, 323, 2109, 540, 4521, 630, 305, 558, 269, 476, 278, 281, 272, 268, 275, 264, 634, 10434, 2287, 540, 5840, 630, 305, 558, 269, 476, 1556, 281, 1839, 268, 3953, 264, 634, 7186, 540, 19978, 29526, 630, 272, 4856, 269, 476, 1015, 281, 272, 268, 1321, 994, 18661, 779, 18266, 2507, 634, 7186, 540, 20154, 717, 22284, 630, 272, 4856, 269, 476, 1321, 281, 272, 268, 278, 264, 634, 7186, 540, 4168, 16593, 630, 272, 634, 1087, 269, 476, 275, 281, 1724, 268, 1240, 264, 634, 7186, 540, 623, 1845, 339, 569, 6796, 630, 3891, 321, 269, 476, 276, 281, 272, 268, 277, 282, 476, 280, 281, 277, 268, 1691, 994, 6962, 6969, 1565, 519, 5168, 267, 513, 1268, 949, 581, 17399, 656, 543, 9237, 267, 25442, 855, 19451, 269, 2991, 6217, 519, 22258, 267, 22293, 568, 6569, 543, 19969, 568, 7318, 563, 6962, 1879, 21947, 609, 519, 5168, 267, 590, 4954, 540, 570, 1513, 639, 5156, 543, 23491, 539, 630, 272, 7033, 269, 476, 272, 281, 1321, 268, 1626, 282, 20450, 476, 2537, 281, 272, 282, 476, 2918, 281, 280, 268, 736, 1040, 6145, 15141, 1190, 2367, 540, 2025, 267, 835, 949, 7947, 519, 5168, 267, 6414, 532, 538, 22293, 543, 31081, 17965, 630, 273, 8891, 269, 476, 273, 281, 280, 268, 1626, 282, 7225, 324, 476, 1015, 268, 1556, 1916, 20806, 3188, 4024, 649, 3398, 519, 5168, 267, 543, 3976, 2611, 9237, 286, 4024, 649, 7947, 519, 5168, 267, 543, 3976, 585, 10623, 527, 938, 8699, 630, 11679, 320, 269, 476, 10463, 281, 2641, 268, 2190, 282, 3038, 269, 476, 1015, 281, 1704, 21663, 0, 9223, 282, 6858, 269, 32632, 5681, 11302, 267, 513, 8783, 2804, 9666, 518, 547, 5518, 15525, 267, 7150, 282, 7474, 607, 513, 1267, 540, 1210, 3223, 2106, 14198, 4507, 538, 476, 1220, 279, 543, 476, 1220, 280, 282, 320, 5919, 4785, 282, 326, 17922, 3609, 6410, 538, 513, 9244, 19191, 4287, 5919, 321, 5919, 1492, 2475, 282, 13757, 17146, 689, 20468, 827, 606, 2804, 4965, 547, 3206, 827, 1018 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 616, 513, 1906, 3652, 602, 2141, 4019, 269, 6056, 827, 891, 2798, 1354, 596, 1376, 4259, 20637, 912, 288, 4666, 6420, 568, 513, 15972, 2966, 547, 24807, 707, 10352, 3662, 609, 513, 5230, 4224, 610, 2845, 269, 1703, 616, 1896, 1114, 6272, 596, 786, 1294, 585, 4666, 17517, 267, 855, 594, 899, 547, 6529, 547, 519, 14724, 269, 898, 568, 1572, 519, 1079, 3613, 1157, 4666, 6420, 269, 1411, 666, 849, 798, 707, 1378, 1382, 547, 1294, 952, 596, 4782, 824, 6272, 269, 594, 3335, 979, 1310, 1507, 2831, 609, 4666, 6420, 20637, 971, 607, 8983, 610, 25277, 269, 594, 899, 547, 946, 6366, 7725, 585, 1250, 15972, 543, 2119, 547, 1265, 835, 602, 568, 693, 2547, 476, 1240, 6279, 676, 476, 1240, 6279, 269, 901, 2450, 4229, 519, 3662, 547, 1847, 2417, 18284, 519, 4224, 547, 1205, 547, 519, 536, 7159, 6529, 269, 1411, 786, 849, 991, 835, 536, 7159, 6529, 602, 568, 693, 2547, 835, 3723, 1279, 543, 5594, 17208, 269, 3973, 596, 786, 991, 513, 1489, 6529, 547, 3180, 909, 519, 4224, 563, 8196, 513, 17180, 610, 4224, 547, 695, 1511, 835, 1439, 540, 707, 536, 7159, 6529, 865, 621, 568, 6366, 593, 519, 1283, 543, 5377, 269, 26588, 5155, 519, 824, 1439, 543, 6529, 707, 536, 7159, 593, 602, 1439, 269, 23426, 835, 1439, 540, 707, 1489, 6529, 5180, 607, 1134, 269, 1306, 596, 3180, 909, 519, 4224, 267, 1747, 519, 6366, 1439, 540, 707, 536, 7159, 6529, 23574, 1996, 519, 4224, 269, 3973, 1747, 519, 5180, 1439, 540, 519, 1489, 6529, 18284, 519, 536, 7159, 6529, 269, 898, 786, 1491, 930, 14577, 547, 1205, 621, 865, 602, 519, 4224, 786, 3251, 20005, 543, 519, 536, 7159, 6529, 786, 2611, 1063, 519, 1489, 6529, 543, 519, 4224, 269, 1411, 1616, 513, 4552, 9594, 865, 602, 519, 536, 7159, 6529, 18923, 2115, 547, 581, 20109, 547, 5305, 519, 4666, 6420, 269, 3973, 4734, 621, 543, 2097, 1394, 2663, 547, 2638, 519, 15972, 269, 1403, 519, 15972, 814, 1044, 2468, 5529, 855, 1100, 3662, 729, 9575, 267, 4188, 519, 3337, 540, 519, 536, 7159, 6529, 865, 621, 814, 811, 540, 513, 4552, 9594, 563, 288, 2879, 732, 15972, 3096, 10260, 720, 547, 9395, 523, 1472, 519, 8405, 610, 3723, 540, 606, 3662, 269, 1411, 666, 946, 1022, 1826, 540, 10260, 720, 585, 713, 1519, 2067, 10260, 720, 269, 594, 4782, 547, 946, 2901, 7601, 5911, 610, 519, 9703, 11103, 689, 1612, 659, 867, 269, 2659, 1101, 1900, 609, 1022, 2879, 732, 568, 547, 1711, 513, 17277, 330, 2254, 269, 2060, 5911, 267, 594, 3274, 17063, 513, 8520, 593, 835, 1439, 543, 1287, 3049, 519, 824, 1439, 1394, 998, 621, 269, 18514, 6585, 922, 3337, 1134, 2614, 602, 513, 2241, 17277, 330, 2254, 568, 782, 602, 568, 2877, 269, 2060, 824, 2010, 540, 10260, 720, 267, 594, 899, 547, 946, 513, 1327, 6362, 17277, 330, 2254, 269, 4495, 594, 17063, 519, 8520, 538, 835, 1439, 267, 594, 16784, 621, 1394, 936, 3294, 547, 1711, 1079, 17787, 269, 3973, 594, 3049, 519, 824, 1439, 998, 1312, 17787, 865, 621, 786, 711, 2097, 10690, 952, 519, 3662, 9620, 563, 5804, 1934, 596, 666, 1118, 1082, 1114, 2010, 540, 2879, 4100, 269, 634, 14724, 568, 547, 8936, 519, 2879, 732, 547, 513, 7196, 267, 3529, 267, 610, 4224, 865, 602, 519, 10352, 3662, 3112, 1205, 2476, 269, 1411, 1590, 2990, 519, 2879, 732, 865, 621, 568, 693, 519, 1318, 4463, 585, 519, 2212, 540, 519, 3662, 543, 865, 602, 519, 8520, 568, 1175, 519, 1318, 2450, 585, 519, 2212, 269, 2142, 2386, 596, 3625, 782, 824, 10092, 865, 602, 519, 3662, 1590, 6529, 922, 2212, 998, 519, 2879, 732, 269, 4746, 267, 581, 2386, 602, 519, 3662, 786, 711, 581, 2111, 547, 7485, 10690, 689, 519, 2879, 732, 563, 2252, 596, 1616, 547, 1205, 513, 3787, 811, 7294, 267, 596, 666, 1628, 513, 5614, 2879, 732, 269, 901, 3096, 513, 1094, 7204, 547, 7485, 519, 2879, 732, 9395, 543, 12740, 519, 3662, 909, 1055, 540, 519, 2666, 269, 1280, 713, 596, 991, 547, 1265, 513, 5544, 609, 513, 1094, 7204, 2673, 676, 602, 814, 7899, 540, 5614, 547, 3180, 519, 2597, 596, 991, 269, 5900, 778, 519, 1439, 540, 707, 2879, 732, 547, 519, 1439, 540, 513, 7936, 269, 3973, 267, 5397, 513, 7196, 883, 519, 2666, 2282, 1141, 596, 786, 1305, 519, 2879, 732, 269, 2142, 2386, 972, 568, 513, 711, 577, 610, 24516, 593, 519, 2427, 540, 519, 7196, 269, 4855, 1776, 6529, 609, 513, 711, 577, 610, 24516, 543, 17063, 513, 1899, 689, 621, 547, 707, 5614, 15393, 269, 9255, 519, 711, 577, 593, 707, 6529, 18284, 519, 711, 577, 593, 707, 7196, 547, 3180, 519, 5614, 15393, 538, 519, 18746, 2990, 269, 3973, 267, 5402, 1747, 707, 2879, 732, 1141, 596, 991, 621, 269, 1403, 596, 666, 1205, 513, 4552, 9594, 267, 519, 3662, 786, 3802, 883, 519, 2879, 732, 543, 1287, 5305, 519, 5614, 15393, 563, 2791, 666, 849, 1628, 513, 6177, 2879, 732, 952, 596, 6999, 547, 979, 1310, 5017, 269, 3399, 609, 513, 2185, 20356, 15393, 827, 606, 10759, 538, 8006, 543, 32260, 1312, 7475, 269, 2422, 707, 17180, 547, 627, 8077, 513, 8559, 827, 2185, 6279, 689, 519, 1283, 540, 519, 15393, 269, 4855, 513, 6529, 827, 2185, 6279, 1279, 543, 476, 26528, 10759, 5394, 543, 32260, 835, 1439, 269, 20000, 519, 5377, 540, 707, 1804, 15393, 883, 519, 2666, 538, 606, 1858, 609, 1100, 4054, 269, 14840, 513, 4062, 540, 10260, 720, 998, 519, 8559, 543, 17063, 707, 2879, 732, 269, 2201, 519, 824, 1439, 540, 519, 1899, 267, 8936, 513, 2597, 899, 513, 1507, 4224, 610, 1216, 11480, 269, 19024, 519, 2879, 732, 865, 519, 8520, 568, 827, 1079, 6279, 593, 835, 2427, 540, 519, 3119, 15393, 269, 3973, 695, 913, 519, 1507, 6529, 883, 519, 8559, 13902, 569, 547, 3180, 519, 2879, 732, 1899, 538, 1747, 269, 19024, 519, 2879, 732, 8520, 865, 602, 621, 26520, 593, 1283, 540, 519, 6529, 269, 1411, 949, 991, 547, 946, 1945, 20202, 899, 12566, 18300, 547, 1832, 621, 689, 9991, 1055, 269, 1879, 513, 6177, 2115, 513, 1747, 547, 2244, 267, 621, 786, 2244, 593, 707, 829, 577, 6529, 3079, 540, 593, 1283, 540, 519, 3119, 15393, 1317, 596, 1185, 8325, 2989, 621, 269, 1879, 621, 3338, 267, 621, 786, 22545, 519, 829, 577, 6529, 1863, 543, 519, 2879, 732, 786, 2673, 593, 922, 3723, 269, 634, 2597, 593, 519, 824, 1439, 786, 8930, 519, 6177, 547, 707, 15972, 865, 596, 666, 2097, 2445, 621, 2663, 563, 2791, 666, 4228, 2250, 891, 1079, 2596, 2010, 540, 20637, 676, 3168, 883, 7484, 20637, 267, 8486, 20637, 267, 1216, 20637, 267, 21799, 20637, 267, 543, 3165, 20637, 269, 1717, 267, 476, 3445, 260, 540, 519, 20637, 594, 1305, 538, 519, 19069, 2097, 689, 891, 1079, 2596, 6272, 269, 1358, 616, 2241, 543, 3608, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 9502, 585, 2206, 569, 30499, 1592, 563, 258, 1362, 5903, 11966, 24998, 2187, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1535, 2187, 258, 1363, 1582, 22183, 815, 1535, 454, 258, 1363, 1582, 12785, 815, 7183, 692, 5035, 8827, 24998, 2187, 825, 1219, 4894, 301, 628, 5804, 17484, 4311, 267, 2212, 267, 562, 2187, 1038, 8173, 1038, 2433, 6943, 2212, 281, 5903, 11966, 454, 1038, 2433, 6943, 562, 281, 703, 454, 1038, 2433, 337, 6943, 281, 5903, 11966, 454, 1038, 8173, 1038, 952, 711, 2212, 912, 2018, 2132, 7183, 454, 27030, 1038, 4831, 815, 476, 271, 454, 1038, 24072, 815, 2212, 28329, 1038, 1247, 24072, 912, 2018, 24072, 815, 24072, 12785, 454, 2018, 4831, 23785, 272, 454, 27030, 1038, 2698, 815, 4831, 12361, 6011, 1082, 9136, 538, 2698, 454, 1038, 562, 272, 815, 2698, 910, 333, 12361, 3650, 4831, 815, 271, 28329, 1038, 10917, 3650, 815, 5903, 11966, 263, 271, 994, 1038, 10917, 3650, 12785, 815, 2212, 454, 1038, 24072, 815, 10917, 3650, 454, 1038, 4831, 815, 476, 271, 454, 1038, 1247, 4831, 11203, 562, 272, 912, 2018, 24072, 815, 24072, 12785, 454, 2018, 4831, 23785, 272, 454, 27030, 1038, 24072, 12785, 815, 17763, 5793, 12785, 12785, 28329, 1038, 2132, 10917, 3650, 12785, 28329, 1363, 0, 333, 727, 815, 3403, 3488, 14707, 924, 647, 9930, 3691, 1264, 1729, 281, 30386, 2745, 3799, 727, 269, 21639, 15405, 2745, 3799, 727, 31573, 15405, 5320, 815, 562, 727, 21858, 4590, 325, 19189, 815, 1412, 8339, 21860, 27182, 994, 2745, 3488, 307, 340, 9930, 3691, 512, 1329, 324, 1422, 30033, 314, 272, 282, 4097, 332, 346, 4153, 30033, 314, 332, 1286, 716, 31013, 5609, 733, 541, 17485, 17611, 659, 3930, 8339, 8971, 12759, 6600, 19189, 21875, 2745, 3488, 307, 340, 29194, 9930, 3691, 512, 1329, 324, 1422, 30033, 314, 272, 282, 3374, 332, 346, 4153, 30033, 314, 332, 1577, 6652, 8339, 8971, 12759, 27182, 314, 271, 316, 30727, 0, 5228, 942, 1104, 3207, 454, 2745, 3488, 8782, 2608, 476, 2412, 994, 2745, 6600, 262, 315, 30033, 314, 272, 282, 3953, 332, 346, 257, 13052, 2207, 290, 383, 491, 5746, 302, 476, 6021, 278, 910, 28132, 4696, 3036, 9899, 317, 2412, 4153, 30033, 314, 332, 5073, 2745, 3488, 8782, 2608, 476, 2412, 994, 3698, 733, 11456, 9217, 267, 535, 267, 533, 2187, 825, 1820, 6600, 262, 6944, 720, 332, 632, 2715, 328, 348, 693, 2946, 2715, 325, 348, 632, 2715, 11274, 9638, 14587, 900, 2715, 11274, 9638, 14587, 5073, 825, 952, 1775, 2999, 535, 912, 1038, 585, 562, 538, 2039, 9217, 267, 535, 1341, 476, 272, 267, 533, 2187, 2018, 1820, 6600, 262, 346, 333, 348, 3299, 1439, 815, 262, 30386, 2018, 3207, 263, 269, 274, 994, 825, 952, 1775, 3436, 535, 912, 1038, 585, 562, 538, 2039, 9217, 267, 535, 910, 476, 272, 267, 910, 335, 2187, 2018, 1820, 6600, 262, 346, 333, 348, 3299, 1439, 815, 262, 30386, 2018, 3207, 263, 269, 274, 994, 825, 1820, 3488, 293, 8379, 256, 5073, 825, 1820, 3488, 268, 8782, 2608, 476, 736, 994, 4186, 11456, 263, 272, 267, 476, 1015, 267, 476, 272, 994, 4186, 11456, 263, 1015, 267, 476, 271, 267, 476, 273, 994, 2745, 3488, 13070, 7702, 20527, 647, 320, 1654, 345, 632, 2123, 714, 541, 513, 733, 720, 332, 256, 5073, 333, 272, 815, 703, 9272, 6600, 262, 346, 257, 1103, 545, 1470, 281, 834, 23901, 279, 348, 29125, 333, 273, 815, 703, 9272, 6600, 262, 346, 257, 293, 574, 281, 834, 23901, 279, 348, 29125, 333, 274, 815, 2612, 17301, 9272, 6600, 262, 346, 257, 303, 27591, 281, 834, 23901, 279, 348, 262, 21875, 604, 562, 274, 2652, 476, 271, 912, 825, 562, 274, 815, 476, 271, 1341, 476, 272, 454, 2745, 3488, 268, 8782, 2608, 476, 736, 994, 4186, 11456, 3799, 272, 267, 562, 273, 2073, 562, 274, 9239, 0, 18257, 335, 815, 703, 9272, 3488, 14707, 924, 522, 6305, 10098, 2165, 334, 632, 579, 2742, 13698, 281, 1412, 4917, 337, 815, 703, 9272, 3488, 14707, 924, 513, 986, 345, 14244, 3186, 320, 13698, 281, 1412, 4917, 20657, 24982, 815, 533, 1341, 630, 1015, 910, 476, 272, 264, 2608, 678, 454, 1721, 1775, 538, 2039, 9638, 267, 1232, 24982, 1341, 678, 267, 678, 2187, 825, 1820, 9217, 267, 1439, 6889, 910, 19515, 2745, 3488, 293, 8379, 10807, 18257, 692, 2745, 3488, 318, 262, 2608, 476, 4649, 994, 2745, 3488, 24165, 297, 292, 383, 485, 12728, 302, 8121, 3951, 300, 32723, 2316, 7563, 1422, 30033, 314, 272, 332, 257, 5183, 257, 30033, 314, 332, 910, 476, 1015, 623, 6020, 10933, 296, 4629, 306, 715, 383, 504, 4932, 4629, 306, 5073, 2745, 3488, 318, 262, 2608, 476, 4649, 994, 335, 815, 703, 9272, 3488, 14707, 924, 522, 6305, 10098, 2165, 334, 632, 579, 2742, 13698, 281, 1412, 4917, 337, 815, 703, 9272, 3488, 14707, 924, 513, 986, 345, 14244, 281, 1412, 4917, 3410, 334, 815, 533, 454, 4186, 815, 476, 272, 454, 6112, 733, 2999, 476, 1556, 912, 825, 1820, 3488, 24001, 8339, 8971, 263, 3410, 334, 1070, 1439, 8782, 9847, 30386, 825, 2165, 334, 6834, 678, 454, 825, 733, 6834, 476, 272, 454, 2745, 3488, 293, 8379, 5073, 0, 3901, 10961, 815, 20886, 271, 267, 476, 271, 267, 476, 271, 3910, 1496, 271, 267, 476, 271, 267, 476, 271, 3910, 1496, 271, 267, 476, 271, 267, 476, 271, 27663, 1721, 561, 538, 2039, 263, 271, 267, 274, 2187, 825, 585, 524, 538, 2039, 263, 271, 267, 476, 274, 2187, 1038, 1319, 10961, 314, 331, 6012, 322, 316, 815, 703, 9272, 6600, 262, 291, 580, 924, 19804, 27089, 16948, 1496, 346, 331, 9574, 2715, 322, 348, 316, 29125, 2745, 3488, 268, 8782, 2608, 476, 1789, 994, 1721, 561, 538, 2039, 263, 271, 267, 274, 2187, 825, 585, 524, 538, 2039, 263, 271, 267, 274, 2187, 1038, 1820, 6600, 262, 314, 346, 3901, 10961, 314, 331, 6012, 322, 13912, 317, 276, 348, 316, 3299, 1439, 815, 1412, 5073, 825, 1820, 4590, 2745, 4590, 2745, 3488, 293, 8379, 5073, 18257, 4289, 320, 815, 20886, 3910, 1496, 3910, 1496, 3910, 1496, 3910, 1496, 3910, 1496, 3910, 1496, 3910, 1496, 3910, 1496, 27663, 1721, 562, 538, 2039, 263, 271, 267, 274, 2187, 825, 30458, 19559, 4940, 6572, 17301, 9272, 6600, 262, 291, 580, 924, 19804, 27089, 16948, 1496, 271, 267, 2715, 333, 348, 13912, 1412, 21875, 1721, 562, 538, 2039, 263, 274, 267, 277, 2187, 825, 30458, 19559, 4940, 6572, 17301, 9272, 6600, 262, 291, 580, 924, 19804, 27089, 16948, 1496, 272, 267, 2715, 333, 268, 274, 348, 13912, 1412, 21875, 1721, 562, 538, 2039, 263, 277, 267, 280, 2187, 825, 30458, 19559, 4940, 6572, 17301, 9272, 6600, 262, 291, 580, 924, 19804, 27089, 16948, 1496, 273, 267, 2715, 333, 268, 277, 348, 13912, 1412, 21875, 2745, 3488, 268, 8782, 2608, 476, 1789, 994, 2745, 6600, 262, 346, 4289, 320, 314, 271, 316, 2410, 4289, 320, 314, 272, 316, 2410, 4289, 320, 314, 273, 316, 4153, 333, 346, 4289, 320, 314, 274, 316, 2410, 4289, 320, 314, 275, 316, 2410, 4289, 320, 314, 276, 316, 4153, 333, 7055, 8587, 535, 262, 346, 4289, 320, 314, 277, 316, 2410, 4289, 320, 314, 278, 316, 2410, 4289, 320, 314, 279, 316, 348, 10807, 18257, 692, 0, 2745, 3488, 8782, 2608, 476, 1789, 994, 2745, 6600, 262, 315, 30033, 314, 272, 282, 274, 282, 3451, 332, 346, 257, 13052, 2207, 290, 383, 491, 5746, 302, 476, 6200, 910, 966, 5588, 302, 9899, 317, 1789, 4153, 30033, 314, 332, 5073, 2745, 3488, 8782, 2608, 1789, 994, 3698, 642, 9369, 5416, 2187, 825, 689, 30220, 1104, 4266, 454, 825, 693, 783, 815, 4266, 6745, 3736, 14061, 20204, 454, 825, 7329, 1228, 815, 693, 783, 910, 513, 454, 825, 952, 7329, 1228, 2999, 476, 1626, 912, 1038, 2132, 535, 262, 4467, 2715, 573, 1228, 348, 606, 657, 281, 715, 12728, 302, 966, 5588, 288, 25692, 825, 8640, 476, 1626, 2999, 573, 1228, 2999, 476, 4792, 912, 1038, 2132, 535, 262, 4467, 2715, 573, 1228, 348, 606, 657, 281, 966, 5588, 302, 744, 16576, 5456, 2969, 383, 497, 6020, 302, 7055, 825, 3116, 912, 1038, 2132, 535, 262, 4467, 2715, 573, 1228, 348, 606, 657, 281, 966, 5588, 302, 20525, 5746, 2177, 3201, 28847, 333, 2444, 815, 703, 9272, 3488, 10387, 6446, 606, 334, 4938, 17845, 13439, 576, 340, 286, 1412, 4917, 2745, 17635, 9369, 3799, 2444, 4917, 0, 2745, 3488, 8782, 265, 476, 1789, 994, 339, 527, 25222, 815, 1412, 315, 30033, 314, 272, 282, 3607, 332, 10345, 12702, 2894, 5746, 288, 16692, 674, 29368, 2177, 3722, 5746, 315, 30033, 314, 332, 7055, 2745, 6600, 262, 346, 339, 527, 25222, 281, 317, 2412, 348, 5073, 2745, 3488, 8782, 2608, 476, 1789, 267, 1412, 315, 333, 5073, 333, 815, 703, 9272, 3488, 14707, 924, 3067, 657, 562, 14243, 1067, 657, 13005, 3524, 16780, 807, 4938, 17845, 844, 518, 2357, 281, 1412, 4917, 339, 272, 815, 476, 271, 454, 339, 273, 815, 476, 272, 454, 2745, 6600, 262, 346, 339, 272, 348, 9847, 2715, 339, 273, 348, 3299, 1439, 8782, 9847, 30386, 4186, 815, 476, 274, 454, 6112, 733, 27045, 562, 912, 825, 512, 274, 815, 512, 272, 1341, 512, 273, 454, 825, 512, 272, 815, 512, 273, 454, 825, 512, 273, 815, 512, 274, 454, 825, 733, 6834, 476, 272, 454, 825, 1820, 6025, 274, 267, 1439, 8782, 9847, 30386, 2745, 3488, 293, 8379, 5073, 2745, 3488, 318, 262, 2608, 476, 1789, 264, 0, 2889, 323, 815, 10581, 9272, 3488, 14707, 924, 522, 840, 9809, 334, 798, 605, 323, 19513, 281, 1412, 4917, 9188, 322, 815, 10581, 9272, 3488, 11900, 4275, 522, 964, 935, 1729, 964, 324, 329, 5964, 900, 11188, 1417, 720, 332, 281, 1412, 4917, 1998, 528, 815, 605, 323, 24179, 2889, 323, 265, 9188, 322, 270, 1911, 12467, 2745, 3488, 302, 27089, 798, 605, 323, 19513, 635, 522, 964, 935, 1729, 964, 324, 329, 5964, 20527, 632, 1422, 30033, 314, 272, 282, 4029, 332, 346, 15545, 273, 325, 348, 305, 7445, 30033, 314, 332, 8339, 8971, 263, 1998, 528, 4297, 0, 24882, 815, 10581, 9272, 3488, 304, 783, 20527, 513, 2434, 3120, 13005, 533, 732, 1372, 286, 281, 1412, 4917, 5306, 815, 10581, 9272, 3488, 304, 783, 513, 5621, 3120, 13005, 533, 732, 1372, 286, 281, 1412, 4917, 16781, 815, 476, 273, 454, 339, 842, 320, 815, 12586, 2608, 5621, 1315, 14906, 454, 2745, 3488, 17442, 18085, 21059, 632, 512, 842, 320, 2122, 5451, 6319, 16948, 533, 842, 541, 513, 647, 320, 533, 732, 1372, 20527, 632, 1422, 30033, 314, 272, 282, 4097, 332, 346, 15545, 273, 325, 4153, 30033, 314, 332, 1396, 4592, 8339, 8971, 6025, 842, 320, 4297, 0, 2745, 3488, 8782, 2608, 476, 2568, 994, 2745, 3488, 309, 4456, 5308, 589, 667, 18739, 289, 6020, 305, 10323, 589, 21598, 17955, 1627, 16604, 966, 8016, 383, 488, 623, 27602, 5495, 27878, 772, 300, 1422, 30033, 314, 272, 282, 3374, 332, 303, 3201, 383, 491, 21254, 15375, 302, 315, 30033, 314, 332, 5073, 2745, 3488, 8782, 2608, 476, 2568, 994, 325, 815, 3403, 3488, 14707, 924, 19448, 9992, 848, 281, 30386, 325, 337, 815, 535, 269, 21639, 4590, 325, 19189, 815, 9992, 18622, 2897, 3488, 22207, 1412, 5073, 2745, 6600, 19189, 994, 514, 591, 810, 815, 9992, 848, 11468, 18737, 272, 2639, 18257, 331, 815, 703, 12759, 6600, 19189, 4917, 2745, 10857, 994, 514, 591, 810, 815, 1412, 7055, 1721, 1577, 571, 538, 2039, 10857, 268, 272, 267, 910, 272, 267, 910, 272, 2187, 825, 12679, 810, 6834, 9992, 848, 314, 2280, 571, 316, 18257, 692, 604, 12679, 810, 11203, 9992, 848, 912, 825, 1820, 3488, 288, 9992, 848, 834, 24001, 257, 562, 14244, 20527, 19804, 5493, 6403, 526, 668, 334, 8339, 8971, 6600, 4917, 12828, 912, 825, 1820, 3488, 303, 3201, 383, 491, 21254, 15375, 302, 10807 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 476, 275, 267, 543, 476, 276, 269, 1703, 616, 707, 2418, 269, 0, 258, 1403, 596, 2461, 1210, 513, 24275, 9498, 267, 5225, 2328, 519, 1599, 596, 2461, 1210, 2507, 780, 19370, 476, 272, 1107, 1403, 596, 2461, 1210, 513, 24275, 9498, 267, 5225, 2328, 519, 1599, 596, 2461, 1210, 269, 5213, 1406, 7340, 547, 1331, 519, 3830, 594, 5795, 538, 1362, 269, 7427, 519, 3898, 649, 4682, 936, 538, 1362, 8627, 589, 2487, 1353, 7150, 602, 952, 513, 1268, 1750, 14954, 10733, 267, 519, 3328, 1297, 540, 16853, 540, 10733, 646, 610, 1352, 1750, 14954, 3232, 729, 476, 279, 269, 1677, 1449, 519, 3409, 267, 513, 11001, 5697, 513, 4351, 3732, 540, 476, 3607, 10733, 1750, 9955, 543, 1336, 519, 1611, 1297, 540, 16853, 540, 10733, 1750, 14954, 829, 1554, 729, 476, 280, 269, 634, 3044, 11539, 540, 519, 3732, 729, 476, 272, 269, 2311, 513, 815, 476, 271, 269, 4962, 2073, 568, 519, 1297, 540, 16853, 540, 10733, 513, 1268, 1750, 9749, 829, 1554, 2965, 3152, 982, 476, 279, 286, 2422, 519, 623, 7407, 6396, 269, 513, 264, 3557, 519, 8367, 536, 264, 4855, 519, 1449, 1871, 524, 264, 4855, 519, 623, 7407, 546, 264, 4024, 596, 7947, 610, 711, 7947, 519, 14275, 8367, 286, 11512, 875, 596, 1500, 707, 3375, 269, 552, 264, 5681, 3405, 1125, 707, 2164, 269, 7490, 946, 2347, 5220, 780, 10673, 1405, 946, 12735, 3511, 1242, 2959, 269, 5192, 2659, 11426, 4828, 593, 454, 2252, 596, 2461, 1210, 513, 24275, 9498, 267, 5225, 2328, 519, 1599, 596, 2461, 1210, 2507, 563, 9617, 689, 8096, 1724, 270, 17273, 692, 291, 17805, 2776, 1613, 1384, 3918, 26177, 585, 11929, 1948, 275, 1107, 3848, 476, 1015, 267, 476, 1556, 269, 272, 267, 476, 1556, 269, 273, 267, 476, 1556, 269, 274, 267, 476, 1321, 269, 272, 267, 476, 1321, 269, 273, 267, 476, 1724, 269, 272, 9046, 476, 272, 1107, 1403, 596, 2461, 1210, 513, 24275, 9498, 267, 5225, 2328, 519, 1599, 596, 2461, 1210, 269, 5213, 1406, 7340, 547, 1331, 519, 3830, 594, 5795, 538, 1362, 269, 7427, 519, 3898, 649, 4682, 936, 538, 1362, 8627, 589, 2487, 1353, 7150, 602, 952, 513, 1268, 1750, 14954, 10733, 267, 519, 3328, 1297, 540, 16853, 540, 10733, 646, 610, 1352, 1750, 14954, 3232, 729, 476, 279, 269, 1677, 1449, 519, 3409, 267, 513, 11001, 5697, 513, 4351, 3732, 540, 476, 3607, 10733, 1750, 9955, 543, 1336, 519, 1611, 1297, 540, 16853, 540, 10733, 1750, 14954, 829, 1554, 729, 476, 280, 269, 634, 3044, 11539, 540, 519, 3732, 729, 476, 272, 269, 2311, 513, 815, 476, 271, 269, 4962, 2073, 568, 519, 1297, 540, 16853, 540, 10733, 513, 1268, 1750, 9749, 829, 1554, 2965, 3152, 982, 476, 279, 286, 2422, 519, 623, 7407, 6396, 269, 513, 264, 3557, 519, 8367, 536, 264, 4855, 519, 1449, 1871, 524, 264, 4855, 519, 623, 7407, 546, 264, 4024, 596, 7947, 610, 711, 7947, 519, 14275, 8367, 286, 11512, 875, 596, 1500, 707, 3375, 269, 552, 264, 5681, 3405, 1125, 707, 2164, 269, 7490, 946, 2347, 5220, 269, 9046, 476, 273, 910, 2252, 596, 2461, 1210, 513, 24275, 9498, 267, 5225, 2328, 519, 1599, 596, 2461, 1210, 269, 5213, 1406, 7340, 547, 1331, 519, 3830, 594, 5795, 538, 1362, 269, 7427, 519, 3898, 649, 4682, 936, 538, 1362, 8627, 634, 20831, 15724, 5342, 513, 5619, 538, 799, 789, 4280, 968, 1692, 1082, 21003, 657, 798, 596, 4867, 723, 593, 707, 1560, 9495, 2986, 519, 476, 272, 267, 13078, 9038, 23500, 267, 476, 8687, 15527, 602, 789, 1185, 693, 2547, 835, 31024, 269, 2986, 519, 476, 272, 267, 6021, 278, 8951, 23500, 267, 476, 16960, 15527, 602, 789, 1185, 693, 2547, 835, 31024, 269, 2311, 1377, 540, 4644, 540, 476, 271, 269, 4962, 267, 568, 519, 3017, 538, 17114, 540, 8951, 602, 723, 693, 2547, 835, 31024, 1114, 689, 519, 8167, 540, 9038, 602, 723, 693, 2547, 835, 31024, 269, 513, 264, 3557, 519, 19165, 536, 264, 1548, 2186, 540, 1449, 798, 596, 723, 286, 630, 14738, 2766, 539, 23150, 267, 2451, 2766, 539, 23150, 267, 610, 5565, 2766, 539, 23150, 264, 524, 264, 4855, 519, 1449, 1871, 269, 546, 264, 4855, 519, 623, 17032, 552, 264, 1772, 623, 17032, 3436, 513, 610, 623, 17032, 30381, 7790, 535, 264, 4024, 596, 7947, 610, 10691, 7947, 476, 271, 670, 7790, 575, 264, 5681, 3405, 1125, 9046, 476, 274, 1107, 1403, 596, 2461, 1210, 513, 24275, 9498, 267, 5225, 2328, 519, 1599, 596, 2461, 1210, 269, 5213, 1406, 7340, 547, 1331, 519, 3830, 594, 5795, 538, 1362, 269, 7427, 519, 3898, 649, 4682, 936, 538, 1362, 8627, 634, 3328, 2837, 1282, 519, 4832, 3275, 2507, 692, 16920, 778, 906, 281, 0, 1001, 275, 268, 1321, 268, 6187, 307, 1321, 281, 7918, 281, 1321, 268, 4962, 281, 876, 692, 7476, 519, 1101, 3830, 267, 543, 1039, 476, 276, 547, 1312, 5011, 1384, 268, 276, 344, 815, 476, 276, 269, 3767, 1109, 15965, 728, 676, 910, 276, 547, 1205, 586, 676, 3294, 692, 344, 815, 910, 272, 692, 3086, 2322, 621, 883, 519, 2034, 3830, 3079, 540, 519, 586, 1384, 268, 272, 815, 476, 279, 343, 269, 3767, 7941, 676, 476, 279, 547, 1205, 1535, 676, 3294, 692, 343, 815, 910, 272, 270, 279, 692, 810, 1631, 596, 723, 586, 543, 1535, 2433, 2020, 1001, 275, 268, 1321, 268, 6187, 307, 1321, 281, 6872, 281, 6795, 268, 4962, 281, 876, 454, 268, 276, 268, 276, 344, 284, 271, 14632, 7545, 30336, 1109, 268, 276, 268, 276, 344, 284, 271, 454, 268, 276, 268, 276, 263, 279, 343, 6661, 271, 14632, 30336, 1109, 268, 276, 344, 284, 276, 454, 268, 276, 268, 2412, 343, 284, 271, 14632, 7545, 5231, 586, 15871, 272, 454, 268, 2412, 343, 284, 276, 454, 343, 284, 276, 25773, 2412, 454, 343, 15871, 272, 270, 279, 692, 343, 15871, 272, 270, 279, 454, 344, 284, 286, 0, 258, 4083, 269, 275, 19556, 11644, 1644, 547, 519, 9891, 661, 743, 15199, 593, 5239, 476, 1321, 267, 476, 1960, 277, 692, 3080, 540, 519, 5680, 335, 1137, 896, 519, 20985, 5741, 593, 519, 9891, 661, 743, 15199, 593, 5239, 476, 1321, 267, 476, 1960, 277, 3568, 513, 6609, 540, 6310, 2035, 540, 971, 606, 24256, 543, 1946, 891, 17772, 2354, 525, 2049, 780, 4131, 721, 13713, 2446, 513, 1906, 540, 891, 7440, 780, 2080, 596, 1294, 513, 28176, 5373, 540, 519, 6129, 543, 519, 9855, 23241, 8201, 476, 272, 692, 1607, 5373, 568, 540, 1576, 711, 6537, 547, 2953, 4336, 910, 855, 621, 6920, 1079, 1271, 7285, 267, 519, 3859, 3616, 1588, 267, 543, 519, 16264, 3616, 1588, 780, 763, 1985, 3349, 2982, 519, 2418, 540, 1312, 3859, 543, 16264, 3616, 1588, 1282, 519, 24256, 3108, 1384, 8201, 476, 273, 692, 8923, 7747, 267, 972, 568, 2965, 513, 1804, 3017, 1063, 891, 1079, 3616, 5209, 630, 18431, 1079, 9587, 6393, 2162, 4569, 11644, 692, 1103, 519, 2034, 2063, 4737, 596, 1265, 519, 20517, 829, 5662, 780, 24280, 519, 20517, 829, 8792, 780, 3086, 5173, 519, 16264, 543, 519, 3859, 3616, 1588, 693, 476, 1691, 554, 476, 2537, 269, 276, 1295, 29031, 910, 3193, 24256, 942, 607, 621, 729, 6027, 676, 519, 2107, 542, 6828, 538, 962, 26684, 267, 13785, 269, 14424, 609, 519, 2164, 2630, 910, 610, 519, 3977, 689, 938, 476, 273, 291, 3301, 780, 1607, 3017, 568, 4330, 593, 519, 4137, 2630, 910, 6029, 519, 16264, 543, 3859, 3616, 5209, 693, 476, 1691, 554, 476, 2537, 269, 276, 1295, 29031, 780, 8201, 476, 274, 692, 3383, 267, 693, 513, 1101, 16145, 267, 621, 4667, 602, 519, 9855, 568, 2938, 2484, 1932, 1164, 1657, 519, 6129, 547, 6556, 1022, 24256, 693, 782, 476, 2439, 4913, 267, 607, 596, 782, 917, 267, 519, 24256, 1705, 4755, 476, 2439, 8201, 476, 275, 281, 17421, 676, 18395, 2201, 6441, 710, 1895, 14662, 4353, 296, 3008, 538, 4425, 577, 636, 267, 5125, 269, 8437, 593, 3239, 547, 1294, 3677, 4528, 630, 297, 303, 9680, 267, 476, 866, 330, 2020, 1103, 1931, 547, 2491, 1018, 4667, 513, 15739, 32735, 910, 649, 991, 547, 1865, 29890, 780, 2026, 4330, 538, 938, 2979, 268, 273, 291, 3184, 910, 649, 1934, 1995, 513, 2186, 540, 8305, 25646, 1198, 780, 25332, 13996, 476, 272, 543, 9866, 13996, 476, 273, 4465, 1405, 1294, 519, 9855, 693, 519, 1482, 2990, 540, 519, 6607, 780, 8201, 476, 276, 692, 8002, 1302, 267, 519, 7599, 568, 17146, 676, 519, 5086, 620, 17304, 910, 1294, 7612, 476, 277, 1384, 8201, 476, 277, 692, 22349, 1258, 12002, 2356, 1289, 713, 5086, 620, 17304, 585, 1612, 718, 1314, 268, 596, 786, 1265, 811, 3877, 538, 519, 4569, 268, 273, 291, 3296, 780, 19350, 649, 786, 10956, 519, 2241, 6935, 1063, 713, 5086, 620, 17304, 910, 543, 519, 3845, 689, 721, 547, 519, 9855, 780, 2162, 26344, 5852, 540, 519, 24256, 692, 4131, 721, 11291, 519, 4583, 20534, 6935, 910, 607, 621, 949, 581, 1336, 538, 1022, 1164, 1153, 1837, 593, 29890, 1384, 8201, 476, 278, 692, 763, 1985, 5373, 2982, 519, 6310, 6906, 2404, 609, 519, 1612, 718, 1314, 5086, 620, 17304, 1384, 8201, 476, 279, 692, 2252, 649, 4019, 519, 20534, 6935, 4542, 547, 938, 24666, 6906, 267, 649, 1265, 1384, 8201, 476, 280, 692, 20751, 513, 1360, 1906, 2600, 267, 519, 3845, 689, 2342, 630, 25332, 13996, 264, 547, 519, 9855, 568, 3160, 547, 519, 2520, 12510, 878, 3845, 780, 763, 4542, 1657, 949, 3976, 581, 4389, 547, 23241, 8201, 476, 1015, 692, 13043, 11644, 281, 19244, 519, 1505, 1657, 267, 543, 798, 782, 519, 2877, 20214, 780, 2162, 634, 3845, 547, 519, 9855, 692, 4131, 721, 1631, 4019, 519, 2063, 4542, 547, 519, 2107, 542, 6828, 1383, 269, 8074, 602, 649, 917, 782, 2418, 1384, 763, 10923, 20173, 540, 962, 26684, 630, 306, 14954, 523, 264, 568, 1341, 4649, 269, 6246, 2554, 269, 634, 30803, 3616, 1588, 729, 910, 6187, 269, 7597, 2554, 267, 543, 519, 8953, 540, 519, 3047, 568, 476, 277, 4391, 279, 5998, 780, 2171, 4061, 1152, 991, 547, 7447, 519, 1612, 718, 1314, 5086, 13672, 538, 1931, 547, 4019, 938, 3845, 4542, 780, 4263, 519, 4098, 540, 891, 4967, 267, 649, 1336, 602, 519, 6129, 5336, 3019, 3845, 267, 607, 2938, 538, 519, 6607, 267, 2387, 4454, 547, 581, 262, 2484, 1932, 1164, 269, 4340, 547, 1657, 267, 13672, 2387, 29019, 581, 262, 16029, 547, 476, 5881, 269, 5038, 910, 476, 6187, 269, 7597, 815, 476, 271, 269, 4817, 2554, 269, 1717, 267, 1813, 547, 519, 1612, 718, 1314, 1198, 5941, 1657, 267, 519, 9855, 729, 2387, 691, 4716, 569, 22485, 262, 538, 519, 6607, 267, 865, 3079, 649, 1205, 513, 4605, 2147, 547, 713, 835, 630, 307, 344, 11155, 4858, 515, 14136, 10740, 910, 5176, 1482, 20173, 17107, 8201, 476, 1556, 269, 8437, 593, 3239, 547, 1294, 3677, 4528, 630, 297, 22333, 267, 476, 1240, 330, 6393, 13295, 267, 519, 4767, 3845, 538, 519, 6607, 1063, 519, 22762, 3740, 18013, 540, 519, 9855, 543, 519, 6129, 568, 3648, 4389, 780, 763, 962, 26684, 1895, 4767, 910, 2147, 547, 1082, 824, 18395, 2201, 6441, 710, 2516, 910, 519, 6824, 1063, 554, 543, 654, 1384, 8201, 476, 1321, 269, 8437, 593, 3239, 547, 1294, 3677, 4528, 630, 294, 9281, 267, 476, 736, 330, 6393, 1607, 6824, 5673, 593, 950, 596, 7747, 621, 910, 607, 7152, 1034, 18991, 676, 519, 918, 4428, 1676, 6828, 1384, 8201, 476, 1724, 692, 4913, 267, 1282, 519, 5021, 3294, 519, 554, 270, 310, 6824, 3587, 910, 538, 513, 1101, 543, 10257, 19406, 910, 513, 3730, 1907, 950, 21501, 519, 5086, 620, 17304, 1657, 780, 8201, 476, 1691, 692, 2026, 649, 1397, 1934, 910, 972, 568, 513, 2241, 4542, 910, 799, 17838, 519, 4767, 554, 270, 310, 1871, 883, 513, 4099, 547, 4099, 3845, 269, 16792, 713, 4542, 267, 621, 568, 2009, 547, 1397, 602, 519, 4767, 4099, 7266, 518, 3845, 540, 938, 1079, 3615, 568, 476, 271, 269, 1626, 26440, 780, 8201, 476, 1428, 692, 21607, 538, 1776, 1259, 267, 950, 2938, 689, 962, 26684, 538, 13785, 267, 519, 9855, 568, 17146, 609, 513, 1612, 718, 1314, 3160, 547, 13672, 815, 476, 271, 269, 4817, 26440, 910, 476, 271, 269, 1626, 26440, 815, 476, 271, 269, 8064, 26440, 780, 1103, 1840, 910, 1397, 602, 519, 5086, 834, 10481, 7240, 4678, 3363, 14263, 13207, 1588, 257, 4991, 3160, 547, 476, 7830, 269, 272, 26440, 780, 3086, 2119, 713 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 272, 910, 2625, 22674, 318, 272, 910, 2625, 22674, 318, 273, 454, 825, 2625, 20189, 7026, 318, 272, 815, 4351, 26509, 6134, 10857, 321, 267, 889, 994, 825, 2625, 20189, 7026, 318, 273, 815, 4351, 26509, 6134, 10857, 321, 267, 18451, 994, 825, 2625, 20189, 7026, 318, 274, 815, 4351, 26509, 6134, 10857, 321, 267, 18451, 2020, 825, 581, 1375, 1456, 318, 336, 815, 694, 336, 326, 9638, 3205, 267, 834, 3286, 21783, 689, 1164, 1153, 269, 2701, 729, 7608, 547, 1614, 18019, 12621, 1701, 2020, 825, 7989, 272, 815, 694, 336, 326, 2891, 4415, 5506, 2580, 2625, 22674, 318, 272, 267, 834, 9917, 1140, 1742, 14307, 1101, 22674, 5076, 994, 825, 7989, 273, 815, 694, 336, 326, 2891, 4415, 5506, 2580, 2625, 22674, 318, 273, 267, 834, 9917, 1140, 1742, 14307, 2034, 22674, 5076, 994, 825, 7989, 274, 815, 694, 336, 326, 2891, 4415, 5506, 2580, 2625, 22674, 318, 274, 267, 834, 9917, 1140, 1742, 14307, 3791, 22674, 5076, 994, 825, 7989, 275, 815, 694, 336, 326, 2891, 2252, 1352, 1140, 1742, 2580, 1101, 22674, 5076, 267, 834, 9917, 568, 6126, 609, 5506, 2580, 2625, 20189, 7026, 318, 272, 994, 825, 7989, 276, 815, 694, 336, 326, 2891, 2252, 1352, 1140, 1742, 2580, 2034, 22674, 5076, 267, 834, 9917, 568, 6126, 609, 5506, 2580, 2625, 20189, 7026, 318, 273, 994, 825, 7989, 277, 815, 694, 336, 326, 2891, 2252, 1352, 1140, 1742, 2580, 3791, 22674, 5076, 267, 834, 9917, 568, 6126, 609, 5506, 2580, 2625, 20189, 7026, 318, 274, 2020, 825, 7989, 17014, 318, 4820, 318, 272, 815, 829, 326, 263, 11279, 272, 267, 7989, 273, 267, 7989, 274, 994, 825, 7989, 17014, 318, 4820, 318, 273, 815, 829, 326, 263, 11279, 275, 267, 7989, 276, 267, 7989, 277, 2020, 825, 2243, 815, 694, 336, 326, 6357, 1122, 326, 1456, 318, 336, 267, 7989, 17014, 318, 4820, 318, 272, 267, 7989, 17014, 318, 4820, 318, 273, 2020, 825, 5372, 1889, 906, 815, 31460, 825, 5372, 1889, 906, 314, 14140, 22674, 5076, 316, 815, 1205, 22674, 548, 2471, 263, 272, 994, 825, 5372, 1889, 906, 314, 16149, 22674, 5076, 316, 815, 1205, 22674, 548, 2471, 263, 273, 994, 825, 5372, 1889, 906, 314, 628, 2273, 22674, 5076, 316, 815, 1205, 22674, 548, 2471, 263, 274, 2020, 825, 20735, 815, 1496, 22238, 22674, 318, 272, 265, 22238, 20189, 7026, 318, 272, 1341, 2625, 22674, 318, 273, 265, 22238, 20189, 7026, 318, 273, 1341, 2625, 22674, 318, 274, 265, 22238, 20189, 7026, 318, 274, 2639, 825, 2626, 815, 3903, 326, 28949, 753, 994, 825, 7117, 28083, 815, 1118, 318, 32142, 7272, 1515, 263, 23896, 267, 2626, 267, 5372, 1889, 906, 994, 825, 1820, 3488, 23896, 281, 4939, 338, 1422, 333, 24987, 281, 4939, 338, 262, 260, 263, 336, 28083, 11723, 3698, 1383, 272, 263, 23092, 22561, 2187, 825, 4351, 269, 23092, 263, 23092, 994, 825, 1948, 1101, 22674, 5076, 815, 834, 312, 1446, 4840, 825, 1948, 2034, 22674, 5076, 815, 834, 300, 3951, 4840, 825, 1948, 3791, 22674, 5076, 815, 834, 28012, 14208, 641, 7991, 5441, 4840, 825, 1101, 22674, 5076, 815, 1205, 22674, 5076, 318, 8681, 4590, 825, 2034, 22674, 5076, 815, 1205, 22674, 5076, 318, 8681, 4590, 825, 3791, 22674, 5076, 815, 1205, 22674, 5076, 318, 8681, 4590, 825, 1268, 815, 1205, 7272, 3205, 318, 8681, 10797, 825, 18470, 267, 18451, 815, 476, 271, 267, 476, 272, 454, 825, 2625, 22674, 318, 272, 815, 4351, 26509, 6134, 10857, 321, 267, 18451, 994, 825, 2625, 22674, 318, 273, 815, 4351, 26509, 6134, 10857, 321, 267, 476, 272, 3491, 321, 22674, 318, 272, 994, 825, 2625, 22674, 318, 274, 815, 476, 272, 910, 2625, 22674, 318, 272, 910, 2625, 22674, 318, 273, 454, 825, 2625, 20189, 7026, 318, 272, 815, 4351, 26509, 6134, 10857, 321, 267, 889, 994, 825, 2625, 20189, 7026, 318, 273, 815, 4351, 26509, 6134, 10857, 321, 267, 18451, 994, 825, 2625, 20189, 7026, 318, 274, 815, 4351, 26509, 6134, 10857, 321, 267, 18451, 2020, 825, 581, 1375, 1456, 318, 336, 815, 694, 336, 326, 9638, 3205, 267, 834, 3286, 21783, 689, 1164, 1153, 269, 2701, 729, 7608, 547, 1614, 18019, 12621, 1701, 2020, 825, 7989, 272, 815, 694, 336, 326, 2891, 4415, 5506, 2580, 2625, 22674, 318, 272, 267, 834, 9917, 1140, 1742, 14307, 1101, 22674, 5076, 994, 825, 7989, 273, 815, 694, 336, 326, 2891, 4415, 5506, 2580, 2625, 22674, 318, 273, 267, 834, 9917, 1140, 1742, 14307, 2034, 22674, 5076, 994, 825, 7989, 274, 815, 694, 336, 326, 2891, 4415, 5506, 2580, 2625, 22674, 318, 274, 267, 834, 9917, 1140, 1742, 14307, 3791, 22674, 5076, 994, 825, 7989, 275, 815, 694, 336, 326, 2891, 2252, 1352, 1140, 1742, 2580, 1101, 22674, 5076, 267, 834, 9917, 568, 6126, 609, 5506, 2580, 2625, 20189, 7026, 318, 272, 994, 825, 7989, 276, 815, 694, 336, 326, 2891, 2252, 1352, 1140, 1742, 2580, 2034, 22674, 5076, 267, 834, 9917, 568, 6126, 609, 5506, 2580, 2625, 20189, 7026, 318, 273, 994, 825, 7989, 277, 815, 694, 336, 326, 2891, 2252, 1352, 1140, 1742, 2580, 3791, 22674, 5076, 267, 834, 9917, 568, 6126, 609, 5506, 2580, 2625, 20189, 7026, 318, 274, 2020, 825, 7989, 17014, 318, 4820, 318, 272, 815, 829, 326, 263, 11279, 272, 267, 7989, 273, 267, 7989, 274, 994, 825, 7989, 17014, 318, 4820, 318, 273, 815, 829, 326, 263, 11279, 275, 267, 7989, 276, 267, 7989, 277, 2020, 825, 2243, 815, 694, 336, 326, 6357, 1122, 326, 1456, 318, 336, 267, 7989, 17014, 318, 4820, 318, 272, 267, 7989, 17014, 318, 4820, 318, 273, 2020, 825, 20735, 815, 1496, 22238, 22674, 318, 272, 265, 22238, 20189, 7026, 318, 272, 1341, 2625, 22674, 318, 273, 265, 22238, 20189, 7026, 318, 273, 1341, 2625, 22674, 318, 274, 265, 22238, 20189, 7026, 318, 274, 2639, 825, 2626, 815, 3903, 326, 28949, 753, 994, 825, 7117, 28083, 815, 1118, 318, 32142, 7272, 1515, 263, 23896, 267, 2626, 267, 5372, 1889, 906, 994, 825, 1820, 3488, 23896, 281, 4939, 338, 1422, 333, 24987, 281, 4939, 338, 262, 260, 263, 336, 28083, 11723, 3698, 1383, 263, 23092, 22561, 2187, 825, 4351, 269, 23092, 263, 23092, 994, 825, 1775, 25814, 267, 330, 815, 28219, 263, 272, 994, 825, 1101, 22674, 5076, 815, 1205, 22674, 548, 2471, 273, 9217, 994, 825, 2034, 22674, 5076, 815, 1205, 22674, 548, 2471, 273, 27203, 994, 825, 3791, 22674, 5076, 815, 1205, 22674, 548, 2471, 273, 17347, 994, 825, 1268, 815, 834, 306, 958, 12829, 5016, 825, 18470, 267, 18451, 815, 476, 271, 267, 476, 272, 454, 825, 2625, 22674, 318, 272, 815, 4351, 26509, 6134, 10857, 321, 267, 18451, 994, 825, 2625, 22674, 318, 273, 815, 4351, 26509, 6134, 10857, 321, 267, 476, 272, 3491, 321, 22674, 318, 272, 994, 825, 2625, 22674, 318, 274, 815, 476, 272, 910, 2625, 22674, 318, 272, 910, 2625, 22674, 318, 273, 454, 825, 2625, 20189, 7026, 318, 272, 815, 4351, 26509, 6134, 10857, 321, 267, 889, 994, 825, 2625, 20189, 7026, 318, 273, 815, 4351, 26509, 6134, 10857, 321, 267, 18451, 994, 825, 2625, 20189, 7026, 318, 274, 815, 4351, 26509, 6134, 10857, 321, 267, 18451, 2020, 825, 581, 1375, 1456, 318, 336, 815, 694, 336, 326, 9638, 3205, 267, 834, 3286, 21783, 689, 1164, 1153, 269, 2701, 729, 7608, 547, 1614, 18019, 12621, 1701, 2020, 825, 7989, 272, 815, 694, 336, 326, 2891, 4415, 5506, 2580, 2625, 22674, 318, 272, 267, 834, 9917, 1140, 1742, 14307, 1101, 22674, 5076, 994, 825, 7989, 273, 815, 694, 336, 326, 2891, 4415, 5506, 2580, 2625, 22674, 318, 273, 267, 834, 9917, 1140, 1742, 14307, 2034, 22674, 5076, 994, 825, 7989, 274, 815, 694, 336, 326, 2891, 4415, 5506, 2580, 2625, 22674, 318, 274, 267, 834, 9917, 1140, 1742, 14307, 3791, 22674, 5076, 994, 825, 7989, 275, 815, 694, 336, 326, 2891, 2252, 1352, 1140, 1742, 2580, 1101, 22674, 5076, 267, 834, 9917, 568, 6126, 609, 5506, 2580, 2625, 20189, 7026, 318, 272, 994, 825, 7989, 276, 815, 694, 336, 326, 2891, 2252, 1352, 1140, 1742, 2580, 2034, 22674, 5076, 267, 834, 9917, 568, 6126, 609, 5506, 2580, 2625, 20189, 7026, 318, 273, 994, 825, 7989, 277, 815, 694, 336, 326, 2891, 2252, 1352, 1140, 1742, 2580, 3791, 22674, 5076, 267, 834, 9917, 568, 6126, 609, 5506, 2580, 2625, 20189, 7026, 318, 274, 2020, 825, 7989, 17014, 318, 4820, 318, 272, 815, 829, 326, 263, 11279, 272, 267, 7989, 273, 267, 7989, 274, 994, 825, 7989, 17014, 318, 4820, 318, 273, 815, 829, 326, 263, 11279, 275, 267, 7989, 276, 267, 7989, 277, 2020, 825, 2243, 815, 694, 336, 326, 6357, 1122, 326, 1456, 318, 336, 267, 7989, 17014, 318, 4820, 318, 272, 267, 7989, 17014, 318, 4820, 318, 273, 2020, 825, 20735, 815, 1496, 22238, 22674, 318, 272, 265, 22238, 20189, 7026, 318, 272, 1341, 2625, 22674, 318, 273, 265, 22238, 20189, 7026, 318, 273, 1341, 2625, 22674, 318, 274, 265, 22238, 20189, 7026, 318, 274, 2639, 825, 2626, 815, 3903, 326, 28949, 753, 994, 825, 7117, 28083, 815, 1118, 318, 32142, 7272, 1515, 263, 23896, 267, 2626, 267, 5372, 1889, 906, 994, 825, 1820, 3488, 23896, 281, 4939, 338, 1422, 333, 24987, 281, 4939, 338, 262, 260, 263, 336, 28083, 11723, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1383, 4590, 0, 258, 1806, 585, 4552, 340, 690, 340, 334, 454, 5228, 1623, 6853, 1104, 27661, 5814, 4351, 692, 5228, 7117, 2378, 869, 1104, 27661, 5228, 7117, 2378, 869, 269, 23896, 318, 24987, 1104, 2608, 692, 258, 5320, 1966, 476, 272, 692, 3698, 1383, 3890, 1384, 825, 10467, 815, 31460, 825, 1535, 267, 586, 267, 513, 267, 536, 267, 2473, 815, 6698, 3488, 343, 586, 513, 536, 2473, 5073, 825, 26890, 267, 325, 267, 326, 267, 327, 815, 6698, 3488, 324, 535, 575, 554, 5073, 825, 12361, 4194, 1535, 267, 476, 513, 815, 536, 267, 476, 1535, 815, 476, 273, 265, 321, 267, 513, 815, 476, 279, 267, 666, 596, 798, 621, 888, 825, 1948, 14140, 2009, 16105, 1210, 1341, 585, 694, 336, 326, 454, 825, 2243, 815, 694, 336, 326, 3890, 1341, 1412, 338, 9876, 262, 1341, 1535, 1341, 476, 26169, 5416, 14720, 8358, 292, 336, 3287, 267, 273, 265, 321, 8358, 292, 336, 5416, 267, 279, 264, 1341, 1412, 666, 596, 798, 621, 286, 7055, 825, 1948, 23896, 815, 694, 336, 326, 27887, 336, 5416, 14720, 4917, 825, 1948, 16149, 2009, 16105, 585, 1210, 28825, 825, 23288, 825, 2243, 815, 4194, 3436, 1535, 3436, 476, 26169, 5416, 14720, 8358, 292, 336, 3287, 267, 273, 265, 321, 8358, 292, 336, 5416, 267, 279, 264, 3436, 262, 4754, 596, 798, 621, 286, 7055, 825, 1948, 628, 2273, 2009, 16105, 1210, 1341, 585, 694, 336, 326, 454, 825, 2243, 815, 4194, 1341, 1535, 1341, 476, 829, 326, 263, 26169, 5416, 14720, 1070, 292, 336, 3287, 267, 273, 265, 321, 1070, 292, 336, 5416, 267, 279, 4297, 1341, 1412, 4754, 596, 798, 621, 286, 7055, 825, 23288, 825, 1820, 263, 23896, 20216, 31146, 263, 817, 793, 906, 284, 2715, 343, 281, 1496, 326, 316, 348, 4917, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1383, 4590, 0, 5228, 1623, 6853, 1104, 27661, 5814, 4351, 454, 5814, 11885, 607, 5286, 692, 5228, 7117, 10402, 269, 336, 10402, 1104, 27661, 5228, 7117, 10402, 1104, 2588, 2812, 454, 5228, 7117, 10402, 1104, 1770, 15305, 318, 1721, 318, 12528, 607, 3593, 15305, 692, 258, 570, 7495, 302, 281, 1411, 666, 849, 2322, 707, 844, 525, 527, 517, 1383, 1934, 692, 5035, 1627, 288, 318, 6247, 571, 842, 263, 304, 288, 7049, 17107, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 23288, 1038, 19461, 6500, 585, 707, 1627, 288, 2243, 563, 1038, 23288, 1038, 2706, 14061, 1029, 8181, 1029, 4590, 1038, 1582, 269, 10461, 815, 1412, 292, 5055, 515, 327, 13259, 332, 14508, 7055, 1038, 1582, 6155, 525, 5524, 815, 1412, 288, 2527, 1652, 5102, 2917, 13793, 338, 689, 513, 6378, 1489, 269, 589, 2527, 1652, 5569, 8220, 1079, 13999, 10086, 26444, 4449, 19930, 1412, 544, 272, 543, 544, 273, 267, 13793, 338, 936, 519, 5102, 2917, 269, 4855, 519, 10231, 540, 519, 2527, 544, 273, 286, 28847, 1038, 1948, 17161, 827, 519, 2243, 602, 1223, 948, 547, 1118, 713, 811, 3406, 762, 538, 519, 2104, 454, 1038, 1582, 269, 4486, 6919, 815, 18358, 30125, 262, 2073, 262, 12218, 673, 23317, 262, 2073, 262, 28343, 3299, 1412, 22709, 3299, 1412, 20228, 728, 3299, 1412, 293, 9689 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2859, 547, 519, 1448, 267, 1705, 646, 1616, 547, 286, 12996, 729, 519, 2244, 540, 1010, 6689, 543, 6107, 269, 4595, 6028, 621, 267, 646, 1185, 1831, 513, 4583, 32058, 626, 543, 21917, 282, 646, 5030, 543, 7361, 10150, 513, 1272, 540, 6752, 762, 17195, 538, 8303, 282, 646, 8570, 333, 984, 5523, 609, 519, 18211, 7100, 543, 519, 8645, 540, 3864, 5159, 267, 12372, 543, 5830, 563, 3891, 1185, 1336, 5128, 693, 519, 8998, 540, 519, 1634, 7122, 267, 543, 646, 882, 1639, 621, 269, 4107, 11932, 540, 782, 267, 621, 729, 538, 891, 6381, 543, 10450, 602, 646, 7768, 1010, 6574, 2575, 269, 1677, 2132, 547, 513, 12996, 1869, 13856, 676, 519, 28592, 1131, 723, 1044, 547, 6650, 559, 1010, 3860, 7060, 267, 519, 2582, 6574, 30254, 3196, 538, 1010, 1272, 269, 932, 641, 514, 267, 607, 7074, 267, 729, 711, 513, 2797, 3662, 1107, 646, 729, 606, 7376, 267, 543, 513, 1390, 835, 269, 21894, 1010, 3929, 13613, 547, 519, 12996, 540, 1010, 6107, 267, 610, 1010, 13922, 585, 1200, 2104, 267, 621, 729, 711, 538, 1010, 4690, 547, 2132, 267, 8726, 519, 12512, 563, 24078, 932, 641, 514, 513, 21434, 21917, 888, 2419, 641, 514, 949, 723, 5030, 1282, 519, 21434, 1974, 855, 267, 25014, 3821, 667, 1075, 1156, 13187, 267, 1010, 2575, 729, 811, 6766, 676, 18190, 543, 25724, 3029, 982, 4376, 3116, 563, 8269, 937, 1175, 585, 513, 4090, 593, 835, 1419, 16519, 326, 13516, 3815, 827, 519, 9277, 22184, 338, 540, 7574, 1686, 269, 1284, 7941, 873, 883, 2048, 289, 16619, 4302, 8730, 2048, 12218, 673, 8730, 2048, 305, 558, 4842, 8730, 3092, 1107, 855, 1152, 609, 12042, 338, 697, 269, 1677, 519, 25803, 540, 1022, 5736, 267, 519, 2575, 540, 741, 1378, 942, 568, 1007, 281, 4207, 543, 9687, 269, 21940, 2456, 616, 23324, 267, 952, 789, 2291, 693, 782, 269, 1284, 1223, 8044, 267, 585, 3236, 267, 936, 2436, 2142, 29348, 568, 2048, 12218, 673, 685, 610, 2048, 305, 558, 4842, 8730, 855, 6148, 519, 2243, 568, 18923, 4143, 547, 513, 21917, 6766, 676, 29732, 543, 15917, 323, 333, 267, 29629, 10389, 609, 3619, 9220, 543, 4712, 547, 2736, 519, 6302, 811, 1379, 2685, 982, 1022, 21917, 1354, 563, 2691, 649, 2307, 2436, 932, 641, 514, 568, 513, 21434, 267, 1018, 4010, 798, 649, 1611, 286, 1280, 4661, 779, 19160, 267, 1934, 779, 513, 4214, 540, 21434, 1143, 689, 634, 5131, 9218, 2228, 267, 799, 4667, 21230, 4977, 281, 2048, 2304, 7499, 543, 7214, 3350, 23608, 538, 2342, 538, 519, 3735, 476, 1240, 628, 2540, 543, 6353, 676, 513, 15398, 1719, 538, 2470, 267, 8561, 593, 519, 1367, 779, 4082, 540, 7553, 543, 9345, 267, 22576, 689, 519, 8456, 543, 3029, 540, 5929, 1143, 267, 543, 18326, 1996, 3964, 1514, 3652, 543, 14908, 10200, 769, 713, 1769, 267, 621, 779, 711, 2653, 547, 22942, 4010, 593, 799, 3296, 540, 519, 20545, 932, 641, 514, 729, 9361, 563, 2419, 641, 514, 729, 476, 1704, 950, 2142, 29348, 5747, 267, 855, 6170, 811, 942, 609, 519, 2575, 540, 13852, 7236, 267, 2848, 9429, 5128, 538, 22968, 607, 513, 2875, 538, 32160, 267, 7064, 547, 1010, 6612, 585, 513, 1762, 521, 641, 3757, 334, 269, 30027, 3585, 646, 26060, 29732, 543, 20787, 691, 1657, 782, 1866, 269, 29732, 3177, 519, 2203, 585, 1010, 2776, 331, 26360, 543, 18264, 26360, 267, 711, 1175, 519, 476, 2190, 268, 4486, 2497, 540, 519, 476, 2190, 2776, 331, 26360, 855, 849, 741, 3810, 1257, 3293, 25029, 13050, 540, 835, 3413, 2131, 339, 6438, 2856, 267, 609, 9739, 540, 3160, 2956, 954, 933, 3058, 693, 782, 2157, 563, 3719, 1287, 3357, 519, 1764, 540, 28988, 345, 339, 267, 932, 641, 514, 779, 28069, 3659, 267, 4075, 340, 657, 334, 1612, 17284, 267, 7574, 22082, 543, 2895, 7304, 558, 4842, 267, 2059, 609, 519, 1863, 6253, 9722, 5576, 30977, 543, 10347, 267, 5730, 21780, 1564, 810, 18255, 4171, 1568, 20206, 4327, 513, 3619, 9220, 268, 525, 4302, 2048, 305, 558, 4842, 685, 6891, 2943, 1369, 26483, 7453, 18190, 3889, 269, 18421, 544, 532, 1194, 267, 2212, 1176, 865, 267, 21176, 865, 282, 4986, 729, 2479, 3833, 607, 5693, 5258, 607, 1686, 1522, 899, 563, 2750, 16054, 540, 7553, 543, 9345, 286, 25613, 16040, 269, 6875, 519, 12312, 1092, 3143, 269, 476, 273, 538, 645, 6366, 5634, 630, 517, 713, 3923, 779, 3382, 7131, 1040, 634, 8611, 880, 7086, 14563, 540, 932, 641, 514, 779, 6679, 3350, 267, 1010, 27313, 13519, 1085, 615, 15605, 543, 519, 14656, 3350, 1107, 602, 2048, 13388, 2066, 519, 30401, 685, 4090, 540, 23191, 20247, 6327, 538, 1236, 7867, 532, 796, 2581, 1107, 568, 538, 513, 6891, 602, 12851, 19039, 569, 547, 21434, 1143, 563, 8138, 11187, 267, 3312, 267, 12667, 569, 16545, 267, 30140, 3929, 269, 1656, 2943, 621, 779, 1869, 538, 519, 2796, 540, 513, 5067, 1092, 267, 602, 10700, 18190, 1106, 1107, 543, 519, 2185, 2173, 913, 618, 2497, 267, 607, 10353, 547, 922, 1543, 267, 568, 711, 3226, 23349, 281, 513, 5067, 1092, 27322, 1930, 518, 267, 1085, 615, 15605, 609, 2468, 334, 267, 3500, 3350, 543, 15341, 334, 3803, 324, 269, 932, 641, 514, 568, 2679, 593, 519, 2250, 267, 1510, 7947, 532, 621, 563, 3891, 697, 2989, 1719, 538, 2470, 568, 711, 1454, 538, 2963, 269, 28988, 345, 339, 779, 859, 23148, 540, 7823, 15420, 267, 21780, 1564, 810, 18255, 779, 23609, 540, 10430, 267, 5576, 30977, 779, 9546, 1091, 7999, 523, 1107, 9039, 540, 602, 20984, 883, 932, 641, 514, 267, 945, 711, 1152, 4769, 1406, 3100, 678, 633, 1540, 676, 519, 3675, 903, 540, 519, 13964, 630, 338, 4428, 1359, 689, 19505, 267, 621, 4440, 1705, 1864, 1100, 1434, 264, 855, 849, 14284, 1140, 2286, 1022, 10855, 1395, 1731, 619, 547, 1010, 1568, 267, 10747, 873, 1252, 1227, 563, 5591, 2048, 3891, 1962, 1938, 744, 3200, 675, 685, 610, 2048, 309, 718, 19902, 546, 685, 302, 828, 10458, 685, 585, 1864, 282, 2048, 30761, 1228, 685, 543, 2048, 5591, 551, 584, 928, 685, 941, 2614, 267, 543, 1010, 10643, 8057, 1100, 811, 2048, 305, 558, 4842, 685, 982, 2048, 293, 656, 553, 773, 9957, 1403, 2470, 13788, 932, 641, 514, 779, 522, 324, 12320, 516, 267, 621, 568, 538, 519, 1106, 540, 12996, 3294, 281, 519, 6667, 646, 16668, 689, 12563, 2575, 5116, 1864, 1851, 519, 23806, 540, 7574, 18541, 1107, 543, 3976, 29907, 883, 519, 1647, 540, 513, 1360, 1880, 1826, 540, 21434, 31672, 563, 2252, 972, 779, 18326, 538, 932, 641, 514, 267, 621, 568, 11029, 543, 1419, 6456, 267, 4540, 1369, 1010, 11745, 625, 811, 9244, 982, 1010, 3889, 269, 634, 6985, 1738, 1143, 602, 3006, 23456, 693, 25538, 1676, 568, 1419, 8659, 538, 6397, 15174, 281, 519, 2295, 540, 519, 645, 2117, 541, 565, 548, 267, 519, 5208, 540, 930, 540, 519, 2776, 331, 26360, 543, 519, 8342, 1968, 4728, 12312, 1092, 267, 543, 519, 631, 1794, 24642, 553, 267, 519, 1655, 540, 799, 616, 1851, 1010, 1034, 10427, 4773, 269, 1452, 10465, 1790, 5241, 29293, 16204, 836, 5097, 689, 1010, 6791, 538, 27906, 5314, 267, 855, 789, 5280, 547, 1628, 513, 1893, 602, 6743, 2484, 883, 519, 2104, 267, 30343, 519, 960, 540, 25803, 607, 2484, 6619, 607, 13891, 1380, 344, 267, 2480, 686, 629, 514, 543, 590, 5414, 2006, 22603, 563, 3383, 519, 1152, 16765, 1259, 538, 799, 932, 641, 514, 568, 513, 21434, 568, 998, 1010, 27314, 9345, 543, 519, 7920, 569, 2123, 2470, 540, 621, 269, 12344, 621, 779, 1655, 10268, 538, 519, 2776, 331, 26360, 543, 519, 645, 6366, 5634, 12312, 1092, 267, 855, 519, 13730, 856, 335, 712, 902, 540, 519, 2717, 7431, 1047, 6363, 656, 553, 773, 267, 519, 1766, 1738, 5283, 617, 1190, 1145, 543, 7526, 1369, 930, 540, 519, 3143, 551, 1248, 525, 267, 543, 519, 546, 9579, 1782, 6427, 4369, 540, 519, 32240, 8240, 1223, 723, 2097, 689, 1100, 4050, 855, 1010, 563, 2171, 1223, 1289, 932, 641, 514, 519, 1034, 21434, 540, 25839, 1235, 267, 610, 519, 1034, 18190, 540, 7931, 24939, 269, 5637, 616, 3592, 3020, 282, 9444, 568, 7357, 25685, 269, 1261, 729, 267, 1657, 782, 267, 1379, 2685, 5128, 1107, 606, 1367, 7555, 267, 609, 1010, 1378, 5639, 543, 1010, 14440, 267, 4805, 538, 519, 3068, 540, 513, 20935, 1158, 281, 608, 6150, 543, 4998, 2065, 267, 9976, 855, 24949, 269, 1656, 5310, 602, 2306, 1864, 513, 2407, 1532, 31500, 21434, 1310, 782, 563, 24078, 932, 641, 514, 513, 1434, 32058, 626, 888, 3891, 949, 723, 1044, 513, 5963, 1390, 32058, 626, 267, 855, 932, 641, 514, 10355, 5340, 538, 1857, 269, 22819, 3240, 27119, 335, 10458, 6941, 1946, 543, 12116, 1018, 1500, 1864, 865, 25343, 607, 513, 6345, 563, 24314, 267, 538, 1260, 1706, 762, 267, 2189, 269, 634, 1913, 5186, 5529, 909, 267, 899, 513, 2186, 540, 11913, 13411, 959, 6541, 267, 2429, 932, 641, 514, 779, 1272, 267, 607, 13915, 13986, 547, 4766, 1010, 796, 24160, 569, 4730, 269, 2290, 1223, 267, 540, 1576, 267, 581, 782, 540, 1346, 1919, 543, 711, 581, 1390, 269, 1809, 519, 2963, 3762, 2370, 8969, 602, 932, 641, 514, 19486, 609, 28988, 345, 339, 607, 835, 540, 519, 1079, 18678, 32058, 1235, 540, 519, 476, 866, 628, 2540, 563, 299, 529, 345, 339, 779, 1378, 2272, 540, 932, 641, 514, 779, 4730, 568, 13031, 593, 1896, 12523, 281, 2048, 306, 601, 3256, 3850, 5128, 547, 581, 4862, 538, 1857, 267, 932, 641, 514, 2760, 2841, 539, 538, 1022, 1259, 585, 1101, 610, 2034, 1747, 1851, 519, 554, 867, 324, 540, 32058, 1235, 4478, 721, 2221, 269, 634, 900, 514, 1836, 19621, 2470, 540, 1010, 13007, 568, 711, 14018, 547, 602, 269, 1261, 3340, 606, 5790, 540, 22471, 1006, 543, 735, 3837, 547, 6556, 909, 519, 5283, 21288, 16782, 1369, 1864, 269, 8535, 568, 1010, 1893, 267, 519, 10143, 11469, 998, 799, 646, 20475, 513, 2898, 7706, 540, 27742, 602, 1152, 519, 2824, 1906, 666, 5660, 19028, 2419, 641, 514, 779, 23998, 540, 1857, 30145, 7640, 539, 1454, 547, 5312, 3942, 19225, 269, 6452, 25383, 547, 9065, 725, 267, 1312, 2168, 543, 11913, 267, 689, 519, 2085, 540, 5722, 267, 646, 18562, 11124, 989, 23888, 540, 31536, 542, 269, 2048, 2791, 3112, 4952, 16224, 646, 5206, 547, 513, 3659, 267, 2048, 6343, 513, 25711, 519, 1614, 2395, 1354, 513, 1857, 5920, 616, 547, 803, 10200, 2107, 519, 1614, 4374, 19952, 267, 2097, 547, 602, 269, 932, 641, 514, 779, 10182, 547, 30145, 949, 849, 723, 1044, 6766, 676, 1010, 1101, 14440, 4116, 267, 513, 15061, 630, 14814, 609, 476, 1240, 628, 10601, 530, 580, 1070, 945, 5143, 1864, 2048, 3519, 32662, 338, 616, 2760, 1483, 2575, 269, 1411, 723, 547, 2285, 909, 519, 2856, 540, 6217, 538, 873, 782, 519, 1034, 4190, 1919, 538, 1148, 19028, 2419, 641, 514, 5129, 267, 9247, 267, 547, 1614, 9458, 630, 514, 26799, 1931, 540, 13283, 2567, 519, 1857, 267, 519, 4356, 340, 15530, 540, 519, 18211, 7095, 2892, 976, 267, 945, 3769, 1082, 540, 519, 3056, 2686, 8279, 540, 519, 1554, 267, 543, 1010, 1053, 269, 2986, 891, 267, 621, 729, 4922, 8815, 267, 538, 519, 1913, 540, 10127, 565, 631, 1731, 25625, 267, 602, 2048, 21671, 932, 641, 514, 779, 10453, 6785, 519, 32058, 626, 538, 1010, 3003, 267, 796, 337, 643, 6817, 30493, 9957, 3571, 32058, 1143, 729, 2189, 538, 1010, 942, 563, 5804, 519, 4098, 267, 1010, 1523, 540, 4480, 729, 1298, 1042, 593, 5067, 528, 640, 269, 11569, 267, 513, 17117, 540, 519, 14440, 779, 512, 4689, 2200, 729, 585, 1864, 519, 2556, 24888, 540, 4075, 340, 13920, 269, 22353, 267, 646, 729, 4862, 676, 1010, 1053, 547, 3132, 476, 736, 3982, 5067, 528, 885, 689, 513, 2582, 4063, 269, 6787, 4730, 621, 610, 1603, 585, 621, 267, 932, 641, 514, 779, 1935, 547, 519, 14440, 729, 1312, 1367, 543, 4652, 5831, 762, 563, 3891, 9011, 3042, 2757, 8942, 547, 2048, 16029, 1047, 685, 519, 11263, 267, 8362, 14237, 741, 3604, 267, 12423, 538, 1142, 922, 1378, 1360, 3982, 3601, 543, 1915, 269, 901, 6508, 538, 851, 689, 1010, 27527, 585, 29732, 543, 20039, 267, 1586, 538, 851, 267, 1312, 585, 519, 27314, 2039, 543, 8856, 540, 1010, 7990, 2065, 29984, 563, 14367, 4480, 729, 840, 1181, 6334, 17159, 269, 2048, 306, 537, 1255, 572, 1285, 656, 512, 719, 256, 685, 630, 11045, 30276, 1354, 3388, 264, 729, 1010 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5484, 514, 267, 570, 690, 334, 267, 19168, 543, 595, 1774, 546, 262, 296, 17383, 790, 563, 22146, 640, 267, 513, 3448, 30226, 518, 267, 814, 1831, 519, 12880, 4984, 538, 519, 3844, 543, 7013, 851, 540, 13280, 267, 543, 519, 9381, 4525, 15198, 689, 7013, 19168, 547, 9381, 2694, 540, 23683, 2274, 821, 269, 6145, 5771, 267, 2609, 540, 12465, 3979, 4984, 616, 6404, 609, 8567, 269, 901, 4984, 729, 4547, 547, 519, 3148, 676, 3864, 28773, 1282, 519, 7810, 5736, 563, 25565, 3979, 4984, 568, 519, 9510, 543, 3312, 4984, 540, 519, 5065, 5095, 540, 713, 3148, 267, 543, 2882, 962, 528, 18866, 4984, 267, 13095, 514, 8643, 267, 590, 19907, 4984, 267, 3092, 269, 898, 568, 5289, 855, 849, 5532, 547, 519, 3140, 543, 2686, 6561, 540, 519, 1004, 269, 6969, 519, 12625, 540, 824, 10764, 971, 607, 5771, 543, 8567, 267, 4639, 20338, 267, 899, 1034, 20338, 267, 1185, 513, 1134, 31465, 1062, 540, 3909, 4978, 269, 634, 12465, 3979, 4984, 568, 1869, 13736, 676, 519, 5065, 5095, 269, 4014, 2757, 4978, 9775, 689, 835, 1747, 547, 519, 1985, 267, 972, 616, 811, 10486, 982, 3604, 269, 901, 3661, 1062, 568, 513, 2101, 4984, 540, 5484, 514, 563, 347, 1607, 796, 10915, 22235, 3296, 3340, 14327, 547, 2327, 2357, 604, 6636, 8198, 763, 1686, 540, 4639, 4000, 666, 581, 5258, 883, 2947, 2101, 5712, 281, 1101, 267, 922, 840, 20931, 267, 538, 799, 519, 1101, 1480, 13896, 8452, 267, 2919, 6683, 267, 543, 1500, 3346, 609, 9082, 547, 519, 5087, 282, 519, 2034, 267, 519, 11635, 6520, 23693, 602, 19597, 730, 1312, 12499, 5025, 325, 878, 534, 267, 543, 3063, 5025, 325, 878, 534, 4123, 267, 543, 2919, 21438, 2829, 282, 3791, 267, 11683, 1135, 885, 25577, 267, 799, 1131, 10929, 606, 3573, 1686, 540, 3346, 609, 1875, 5025, 325, 878, 753, 282, 8772, 267, 519, 7810, 1974, 267, 538, 799, 4279, 6628, 543, 5333, 6417, 5176, 519, 2898, 540, 519, 3148, 282, 11359, 267, 519, 2022, 23949, 11163, 5736, 267, 538, 799, 519, 1699, 6082, 941, 4646, 563, 15900, 1480, 13896, 8452, 538, 4639, 4000, 1472, 476, 1321, 267, 1822, 645, 5861, 16804, 706, 321, 1190, 9948, 20767, 23358, 8105, 3459, 538, 267, 610, 1472, 519, 11359, 26992, 645, 5861, 267, 607, 1134, 607, 519, 29143, 1709, 540, 12418, 269, 1635, 476, 6110, 645, 5861, 267, 4401, 11529, 2029, 4847, 606, 7269, 540, 6694, 7607, 267, 543, 519, 1101, 2749, 32145, 4646, 563, 763, 29143, 1709, 540, 519, 4342, 601, 4847, 519, 1646, 540, 513, 3444, 25781, 4123, 609, 4529, 2066, 519, 19300, 4673, 267, 1519, 2961, 628, 720, 543, 519, 7137, 1499, 282, 2101, 18666, 3769, 4154, 267, 10412, 12308, 267, 4496, 610, 23788, 543, 16463, 5370, 267, 799, 941, 1287, 22121, 585, 6070, 267, 9640, 267, 20955, 267, 543, 824, 971, 2326, 269, 10871, 16463, 267, 12308, 267, 543, 4154, 849, 8329, 547, 519, 7039, 3599, 540, 13884, 585, 1082, 540, 519, 1739, 23693, 563, 763, 1646, 540, 519, 3148, 781, 4346, 4847, 811, 21438, 2829, 543, 12977, 547, 1106, 267, 4098, 609, 519, 715, 758, 2528, 799, 3459, 476, 1911, 271, 645, 5861, 269, 543, 519, 19168, 7276, 799, 1101, 25577, 1063, 519, 476, 272, 560, 268, 274, 6113, 5553, 799, 2663, 5795, 1259, 547, 519, 5689, 328, 10504, 269, 769, 1699, 1554, 24381, 11939, 807, 267, 972, 6818, 15456, 4609, 538, 519, 10034, 540, 570, 747, 527, 543, 744, 783, 1092, 602, 941, 7620, 9112, 1472, 476, 1220, 271, 645, 5861, 1421, 543, 729, 1336, 547, 723, 12090, 689, 519, 12312, 514, 651, 7936, 540, 519, 13495, 2946, 9082, 269, 4746, 267, 1759, 593, 519, 22884, 540, 2749, 540, 918, 3518, 328, 22312, 327, 538, 2413, 6377, 24381, 11939, 807, 267, 519, 5689, 328, 10504, 3357, 547, 20441, 1454, 540, 519, 3148, 2394, 922, 14710, 676, 31471, 528, 14865, 28164, 538, 476, 10755, 273, 563, 763, 590, 657, 810, 7276, 8179, 547, 6445, 519, 20704, 267, 855, 729, 17204, 630, 322, 269, 476, 14862, 271, 264, 676, 519, 13495, 1074, 320, 4229, 540, 9530, 328, 1092, 3223, 7534, 267, 13653, 540, 519, 1007, 5689, 328, 7276, 269, 634, 5689, 328, 7276, 4797, 547, 21707, 585, 1896, 5553, 267, 1034, 3226, 896, 9530, 328, 1092, 781, 6264, 333, 788, 515, 342, 264, 4053, 320, 594, 267, 1354, 513, 19588, 540, 4617, 17710, 3366, 547, 922, 12900, 896, 631, 1601, 328, 267, 16515, 732, 326, 543, 12312, 25131, 28164, 269, 769, 519, 476, 1428, 628, 2540, 267, 519, 12312, 25131, 1131, 1106, 513, 1007, 8789, 1533, 1759, 593, 717, 7776, 267, 538, 519, 12312, 25131, 7276, 267, 896, 519, 5718, 540, 12312, 14269, 18498, 543, 9105, 807, 15011, 25428, 563, 19602, 267, 5045, 540, 519, 20528, 267, 2178, 2749, 2829, 21256, 538, 16384, 2513, 663, 267, 971, 607, 519, 8003, 540, 715, 686, 538, 519, 476, 1015, 628, 2540, 267, 12844, 334, 538, 519, 476, 1321, 628, 2540, 799, 5555, 19411, 730, 538, 519, 5250, 519, 782, 27703, 995, 13019, 534, 7276, 540, 12891, 21468, 267, 1247, 1403, 324, 543, 5484, 514, 9782, 547, 23146, 1472, 519, 476, 1691, 628, 2540, 269, 4329, 7532, 267, 744, 14623, 21256, 607, 519, 8789, 962, 528, 18866, 1533, 543, 519, 589, 549, 28583, 2329, 607, 513, 8789, 16384, 2692, 1533, 538, 2413, 6377, 13280, 563, 21545, 1872, 12956, 18318, 3459, 9591, 17260, 2059, 519, 5032, 538, 476, 13893, 276, 267, 4553, 676, 519, 3943, 543, 2296, 282, 519, 3979, 10553, 4123, 3459, 711, 1279, 1310, 267, 799, 936, 519, 1739, 5553, 1131, 3181, 4106, 622, 519, 3148, 781, 4346, 543, 2551, 269, 634, 10553, 4123, 849, 9415, 519, 5250, 540, 2829, 971, 607, 519, 1306, 14397, 7276, 267, 645, 3711, 4673, 7276, 543, 667, 1695, 727, 344, 267, 4171, 2804, 2238, 1331, 855, 711, 3908, 547, 27300, 10437, 585, 3864, 32205, 563, 1103, 519, 2038, 476, 866, 628, 2540, 267, 513, 3126, 540, 27975, 8643, 6963, 626, 795, 8811, 6758, 25626, 2066, 5375, 4000, 269, 634, 1034, 8037, 1331, 2974, 2006, 15854, 674, 617, 1470, 781, 27975, 8643, 7276, 267, 799, 8719, 519, 670, 9476, 320, 2749, 32145, 267, 1530, 31343, 2549, 611, 340, 781, 7136, 2088, 7276, 267, 799, 17204, 519, 645, 3711, 4673, 267, 543, 4432, 16874, 329, 772, 3405, 30460, 781, 29110, 322, 537, 548, 584, 7276, 267, 799, 13713, 22482, 1454, 540, 2413, 6377, 5689, 328, 563, 4913, 267, 519, 3943, 543, 3703, 4797, 547, 4434, 538, 519, 2480, 1090, 1076, 585, 4000, 267, 1016, 24503, 908, 10806, 1310, 10806, 269, 2060, 519, 2887, 540, 6341, 800, 570, 675, 781, 1007, 1922, 15903, 654, 817, 9567, 537, 7276, 538, 476, 6245, 279, 543, 519, 12891, 21468, 15596, 962, 12711, 1306, 656, 1168, 12711, 538, 476, 5002, 273, 267, 1034, 4639, 3979, 4108, 4187, 547, 7810, 4341, 3357, 547, 606, 2500, 1439, 563, 19322, 664, 6417, 634, 717, 25995, 267, 23683, 2274, 821, 267, 19168, 267, 543, 13280, 2429, 519, 7810, 5736, 267, 1247, 5333, 19618, 7354, 20235, 267, 19892, 267, 5689, 328, 267, 8738, 330, 2088, 674, 553, 334, 267, 5484, 514, 267, 595, 20110, 974, 546, 262, 296, 17383, 790, 543, 20997, 883, 3943, 4639, 4000, 269, 17577, 8547, 519, 12733, 540, 19892, 5174, 1170, 879, 267, 1247, 5125, 10645, 570, 690, 565, 663, 267, 855, 729, 7142, 547, 7941, 621, 1063, 5333, 543, 6628, 1739, 3689, 2622, 2782, 1813, 547, 519, 15521, 540, 12411, 320, 14792, 269, 8307, 8644, 4997, 17477, 922, 7115, 267, 693, 519, 3902, 540, 2101, 16857, 598, 947, 687, 563, 16729, 2622, 2782, 4083, 267, 28929, 5322, 21256, 2066, 4639, 4000, 269, 769, 476, 4198, 278, 267, 19168, 267, 896, 32765, 877, 715, 330, 5300, 1695, 267, 2968, 519, 1101, 1016, 25781, 12733, 547, 3035, 922, 7115, 267, 4553, 519, 1985, 1032, 676, 5333, 781, 10125, 630, 294, 9334, 320, 538, 476, 4198, 279, 896, 519, 5718, 540, 5518, 30277, 1530, 330, 537, 12875, 2946, 5148, 676, 476, 3192, 275, 267, 4639, 4000, 781, 6082, 941, 7357, 14628, 563, 7712, 7115, 267, 1082, 4639, 3979, 6082, 723, 1044, 24760, 896, 2797, 16132, 267, 609, 8037, 3540, 10617, 538, 13280, 267, 23683, 2274, 821, 267, 8644, 4997, 267, 543, 595, 20110, 974, 546, 262, 296, 17383, 790, 267, 543, 513, 19588, 540, 4108, 4172, 1186, 538, 19168, 543, 8738, 330, 2088, 674, 553, 334, 563, 7712, 519, 1439, 540, 19525, 267, 519, 3148, 814, 1044, 519, 3942, 585, 930, 540, 519, 1034, 22266, 7526, 2479, 547, 21074, 269, 7324, 519, 8545, 616, 912, 763, 9483, 7991, 540, 4639, 3979, 2276, 630, 4488, 8582, 3008, 1070, 8547, 676, 519, 476, 3192, 276, 15521, 540, 20698, 657, 267, 568, 606, 3919, 540, 4639, 3979, 2829, 799, 6663, 547, 3895, 519, 3148, 781, 4346, 269, 634, 4639, 3979, 3933, 8767, 5742, 630, 528, 772, 4932, 29151, 689, 922, 2012, 538, 3943, 267, 5742, 20527, 1595, 1664, 1696, 1395, 2946, 3279, 790, 522, 340, 652, 268, 2378, 878, 12578, 264, 568, 3908, 547, 519, 5216, 267, 6140, 8071, 25869, 2477, 602, 2308, 519, 595, 11902, 21473, 322, 607, 741, 1455, 9304, 269, 634, 9149, 696, 752, 334, 8566, 712, 2742, 16958, 540, 5689, 328, 267, 20997, 267, 543, 8738, 330, 2088, 674, 553, 334, 11394, 547, 24973, 1020, 519, 733, 27631, 2127, 540, 519, 1614, 2477, 563, 7712, 519, 10073, 540, 519, 2136, 8315, 8232, 7027, 22375, 476, 15171, 276, 538, 476, 1220, 271, 267, 2021, 723, 1044, 7722, 538, 31811, 2112, 2389, 1941, 4000, 269, 18786, 609, 519, 6468, 540, 8644, 4997, 7136, 11059, 585, 13458, 543, 6468, 538, 13458, 20761, 8416, 630, 310, 7709, 25892, 1070, 519, 4708, 3350, 814, 6738, 547, 1331, 2021, 2066, 4639, 4000, 563, 15307, 21521, 593, 2904, 476, 279, 267, 476, 1220, 277, 267, 6468, 13458, 543, 8232, 8416, 910, 4000, 630, 310, 296, 4916, 2894, 5025, 325, 878, 320, 1070, 568, 513, 2021, 25700, 267, 2021, 21445, 7754, 5025, 325, 878, 534, 1875, 3766, 21194, 3919, 1759, 538, 19168, 269, 634, 3919, 814, 513, 4527, 538, 19168, 267, 13280, 267, 595, 1774, 546, 685, 296, 17383, 790, 267, 8644, 4997, 543, 23683, 2274, 821, 269, 13636, 3401, 540, 32593, 550, 4187, 1331, 2274, 2096, 1695, 717, 11312, 2465, 267, 1290, 3228, 6154, 17507, 267, 543, 589, 5984, 7910, 773, 29110, 516, 563, 303, 2001, 519, 8061, 559, 7982, 547, 18774, 568, 513, 17245, 4670, 827, 519, 5169, 540, 713, 4708, 3350, 269, 634, 4670, 814, 1044, 1031, 607, 606, 14223, 1907, 538, 2022, 18101, 12787, 10851, 899, 20528, 543, 25472, 267, 20834, 1944, 3979, 2021, 547, 21936, 585, 4708, 543, 3354, 563, 15152, 31141, 267, 1970, 11811, 267, 7142, 9194, 267, 2916, 1689, 267, 6710, 267, 8375, 1426, 5777, 543, 19394, 1426, 6006, 616, 782, 1883, 2188, 602, 616, 7700, 4724, 5375, 4000, 781, 1426, 6433, 269, 17823, 10117, 2929, 1004, 2066, 5375, 4000, 616, 2047, 4299, 676, 519, 1426, 6433, 543, 621, 568, 10567, 547, 22009, 676, 519, 1439, 540, 476, 1001, 273, 269, 901, 568, 4929, 606, 2333, 538, 519, 4576, 2557, 538, 5375, 4000, 607, 1082, 1004, 616, 4742, 16094, 4731, 333, 712, 1639, 563, 2690, 713, 547, 1831, 1447, 4049, 267, 5375, 4000, 2115, 4764, 269, 634, 1985, 11811, 568, 1813, 538, 5147, 476, 1001, 273, 267, 4352, 1256, 609, 713, 11811, 267, 519, 3771, 341, 3949, 4465, 1405, 581, 4712, 2394, 5239, 476, 1001, 273, 563, 16391, 31907, 971, 607, 2622, 17496, 267, 11059, 18830, 12017, 518, 267, 7621, 325, 600, 543, 16440, 519, 5753, 616, 3843, 547, 948, 713, 3390, 676, 3246, 811, 13184, 267, 17656, 811, 19401, 267, 3945, 3215, 13184, 282, 607, 1134, 607, 18997, 3237, 593, 1126, 1072, 269, 5455, 2072, 540, 1269, 13301, 2929, 568, 2838, 543, 519, 8323, 4238, 998, 891, 14540, 723, 21959, 1229, 513, 1085, 656, 1269, 7367, 2929, 267, 799, 568, 8806, 835, 3791, 540, 519, 2179, 2877, 563, 3519, 1084, 340, 632, 2283, 26047, 454, 323, 2109, 32666, 1696, 911, 2265, 16725, 13248, 4609, 1357, 454, 308, 928, 535, 523, 17845, 30036, 630, 16647, 10784, 334, 264, 546, 262, 15574, 630, 935, 1084, 340, 9030, 632, 11576, 26047, 264, 1609, 1045, 13228, 19902, 796, 5595, 12641, 545, 1147, 562, 262, 5814, 324, 844, 601, 2138, 632, 12911, 516, 2985, 1357, 269, 15829, 535, 523, 17845, 30036, 2185, 27848, 964, 1011, 10716, 1696, 964, 911, 2265, 687, 2796, 340, 21304, 267, 524, 262, 652, 268, 14504, 1673 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]