Datasets:
SmallDoge
/
stable_dataset_processed

Dataset card Data Studio Files
xet
Community
Search is not available for this dataset
input_ids
listlengths
1
2.05k
attention_mask
listlengths
1
2.05k
[ 0, 9128, 293, 4488, 20937, 3450, 2882, 519, 946, 540, 17279, 269, 1879, 606, 1271, 1448, 568, 7150, 811, 982, 2899, 267, 1346, 538, 20343, 616, 811, 2693, 547, 3314, 621, 269, 1403, 519, 2856, 568, 1964, 730, 538, 513, 5594, 1114, 1259, 267, 789, 949, 1256, 581, 2111, 547, 1174, 621, 811, 5693, 563, 2252, 707, 19700, 798, 711, 3314, 1018, 596, 2161, 267, 707, 1913, 786, 711, 3310, 1018, 789, 3494, 610, 875, 789, 2661, 269, 1358, 786, 4440, 3136, 3206, 827, 2798, 547, 799, 596, 2285, 2027, 8561, 563, 297, 12317, 990, 1695, 267, 938, 9835, 26189, 528, 267, 5036, 519, 4806, 585, 721, 538, 1010, 946, 540, 17279, 269, 1261, 5795, 519, 14210, 16710, 906, 547, 519, 4182, 540, 5840, 269, 3414, 606, 21425, 545, 22557, 2006, 267, 646, 3361, 519, 4182, 547, 5873, 1346, 4971, 906, 693, 6778, 31291, 328, 269, 13536, 646, 5795, 873, 547, 15584, 538, 2854, 1106, 269, 630, 2750, 269, 476, 736, 281, 272, 268, 1704, 282, 476, 4029, 281, 1240, 282, 1546, 583, 269, 476, 276, 281, 2420, 264, 2311, 8614, 327, 990, 1695, 779, 4287, 267, 15584, 1964, 730, 1346, 4971, 906, 547, 519, 4182, 1354, 789, 9411, 519, 8871, 2213, 8092, 267, 543, 676, 1797, 540, 13411, 6891, 267, 15584, 1500, 513, 2594, 540, 602, 267, 607, 1336, 693, 1546, 17458, 16860, 476, 276, 281, 277, 268, 2641, 269, 7324, 519, 4971, 906, 2016, 547, 5840, 729, 519, 10421, 602, 789, 2648, 543, 4196, 8614, 327, 990, 1695, 609, 741, 2898, 2295, 267, 9997, 267, 543, 4105, 3196, 269, 901, 1932, 729, 7150, 1586, 543, 1586, 269, 630, 5719, 583, 269, 476, 277, 281, 276, 282, 476, 1015, 281, 1321, 282, 476, 1556, 281, 1724, 282, 476, 1789, 281, 277, 264, 4208, 286, 5221, 267, 607, 4906, 1767, 267, 621, 729, 968, 1492, 6574, 543, 1101, 4971, 618, 1848, 630, 300, 3430, 269, 476, 2420, 281, 4097, 268, 4343, 264, 3414, 519, 22445, 22819, 31109, 267, 8614, 327, 990, 1695, 18056, 519, 1004, 540, 28311, 811, 982, 476, 736, 2053, 827, 519, 3978, 1145, 540, 1073, 324, 3539, 1864, 538, 782, 519, 1919, 602, 646, 26017, 873, 269, 630, 297, 518, 269, 476, 278, 281, 2537, 282, 476, 1556, 281, 275, 282, 476, 1321, 281, 1704, 282, 476, 866, 281, 1428, 264, 1656, 998, 26442, 2131, 1408, 267, 2696, 7150, 811, 982, 476, 2568, 2053, 602, 519, 6082, 968, 15884, 723, 547, 917, 602, 594, 993, 8614, 327, 990, 1695, 1848, 1765, 292, 345, 2131, 269, 476, 277, 281, 1015, 282, 476, 4343, 281, 2537, 563, 1103, 519, 2594, 540, 519, 18591, 540, 4906, 267, 649, 849, 7747, 2500, 946, 540, 17279, 269, 1703, 616, 267, 585, 1383, 267, 519, 2185, 717, 28145, 1765, 26421, 835, 8720, 1271, 2621, 602, 616, 4080, 538, 835, 610, 811, 540, 519, 824, 717, 28145, 855, 13156, 891, 2621, 689, 5594, 1114, 7285, 269, 769, 1010, 1378, 3450, 267, 4906, 4988, 519, 1482, 2596, 1448, 540, 6044, 593, 811, 982, 835, 8317, 855, 538, 1114, 2081, 269, 630, 15812, 476, 280, 281, 4097, 268, 4391, 282, 476, 1015, 281, 3374, 268, 3393, 282, 3627, 476, 1724, 281, 273, 268, 1704, 264, 1656, 1247, 593, 519, 6778, 540, 9986, 1161, 513, 1906, 2395, 1354, 1010, 2669, 267, 4906, 1031, 17279, 547, 11168, 713, 4105, 8480, 281, 968, 16605, 593, 519, 4585, 267, 1547, 1547, 1547, 1317, 596, 798, 711, 917, 593, 1018, 1554, 707, 7083, 568, 4947, 1848, 1765, 300, 3430, 269, 476, 2190, 281, 5655, 282, 476, 1839, 281, 1724, 563, 1103, 519, 12197, 12080, 269, 1879, 596, 7198, 547, 1004, 267, 596, 4126, 602, 789, 786, 3314, 1018, 596, 2161, 269, 13229, 946, 540, 17279, 666, 948, 547, 3035, 602, 3804, 563, 21761, 267, 17279, 693, 519, 942, 513, 2339, 568, 1373, 5941, 786, 948, 23666, 621, 593, 513, 1268, 779, 2247, 269, 4935, 267, 1310, 2542, 513, 27403, 267, 596, 1223, 11168, 621, 676, 15738, 547, 513, 1883, 6712, 540, 621, 543, 6998, 267, 968, 12441, 596, 5469, 875, 602, 1257, 568, 2262, 539, 18313, 763, 3803, 5220, 538, 513, 6643, 666, 849, 581, 1031, 3927, 269, 1280, 1383, 267, 596, 1522, 2161, 281, 968, 763, 1292, 1448, 602, 594, 4126, 596, 786, 3314, 689, 938, 6643, 568, 1547, 1547, 1547, 892, 3973, 1964, 622, 621, 3274, 269, 898, 1522, 581, 1945, 899, 713, 281, 968, 18661, 779, 3483, 568, 602, 519, 3618, 581, 9927, 883, 513, 27032, 269, 2334, 3483, 568, 2386, 547, 581, 7691, 1848, 2107, 7654, 281, 968, 763, 6426, 5693, 2982, 602, 649, 616, 2713, 538, 519, 2063, 2395, 540, 713, 1062, 540, 1919, 269, 1403, 649, 616, 2469, 547, 7639, 922, 1439, 267, 649, 991, 547, 1451, 1018, 2696, 3340, 540, 721, 1848, 2107, 621, 1223, 581, 281, 968, 2026, 649, 723, 2938, 267, 519, 6426, 3091, 4052, 8480, 593, 875, 547, 11883, 609, 2042, 540, 1920, 1272, 1848, 769, 930, 2665, 596, 949, 3274, 10956, 513, 19722, 689, 519, 6426, 607, 519, 1448, 547, 581, 15422, 269, 2986, 1576, 267, 3257, 713, 3927, 3340, 2062, 2288, 339, 563, 4002, 2132, 11564, 267, 1519, 6426, 2090, 267, 707, 946, 540, 17279, 949, 4125, 2689, 2055, 563, 2691, 513, 1268, 9060, 621, 2352, 547, 1174, 610, 547, 4019, 6426, 8480, 267, 596, 949, 991, 547, 3142, 519, 1641, 909, 593, 811, 982, 835, 8317, 269, 7736, 324, 2948, 547, 1935, 621, 689, 1585, 7285, 269, 634, 5717, 798, 711, 723, 547, 581, 17890, 855, 1058, 5000, 519, 2875, 547, 1832, 3206, 827, 519, 2339, 269, 5457, 267, 4906, 1031, 713, 4990, 540, 17279, 538, 4543, 1010, 20785, 7753, 519, 7287, 547, 581, 538, 1101, 1747, 23102, 300, 3430, 269, 476, 1240, 281, 272, 268, 277, 282, 476, 736, 281, 736, 268, 2764, 282, 19279, 476, 2420, 281, 2190, 268, 2767, 563, 2691, 29179, 5494, 12973, 269, 1403, 596, 2285, 12909, 689, 519, 3760, 267, 707, 6662, 568, 711, 8806, 547, 1459, 1344, 269, 1411, 1616, 519, 5304, 547, 1174, 621, 267, 547, 3314, 621, 267, 543, 547, 4019, 621, 269, 1677, 3035, 602, 267, 1118, 1434, 946, 540, 17279, 563, 2252, 596, 10956, 519, 1292, 2798, 1932, 1419, 267, 2705, 267, 596, 949, 6336, 519, 3007, 540, 707, 5304, 269, 28392, 2824, 2798, 602, 17330, 2027, 8561, 269, 1452, 2356, 616, 519, 1292, 2798, 1472, 799, 707, 2911, 568, 2919, 267, 855, 789, 949, 849, 1331, 824, 4555, 602, 786, 581, 540, 2027, 1871, 547, 707, 5304, 563, 2414, 1118, 946, 540, 17279, 267, 596, 1522, 1101, 7291, 707, 1292, 2798, 538, 519, 4367, 269, 1684, 602, 609, 2110, 6898, 602, 1683, 513, 3376, 7650, 540, 1018, 596, 786, 3382, 267, 609, 2055, 267, 610, 609, 5618, 1806, 602, 10460, 2042, 547, 581, 17251, 269, 1411, 1522, 1533, 875, 1082, 1292, 2798, 972, 616, 543, 1592, 873, 676, 1297, 269, 3973, 1020, 1142, 540, 1346, 2798, 538, 519, 1560, 540, 707, 2911, 269, 22716, 529, 666, 581, 18674, 538, 519, 1560, 540, 707, 2911, 676, 1964, 908, 1142, 1292, 1448, 1354, 2469, 593, 547, 519, 1985, 835, 269, 2107, 621, 666, 581, 12913, 676, 1210, 606, 1383, 602, 3322, 3498, 540, 519, 1292, 1448, 269, 4329, 8561, 666, 581, 2016, 547, 707, 1292, 2798, 676, 1210, 513, 3932, 602, 1964, 919, 873, 267, 8711, 873, 676, 1210, 24716, 267, 4267, 519, 2055, 602, 941, 6659, 267, 610, 13713, 5036, 856, 3435, 547, 519, 2042, 602, 941, 15054, 563, 1103, 1840, 547, 519, 1657, 267, 606, 4810, 10584, 32625, 5402, 519, 2043, 945, 1118, 909, 1010, 5304, 269, 1403, 930, 540, 873, 1265, 513, 1978, 2856, 2352, 547, 9787, 267, 519, 10584, 568, 3222, 540, 621, 269, 1403, 519, 1448, 568, 1271, 267, 646, 6227, 621, 1586, 269, 1717, 267, 18110, 519, 1482, 1913, 949, 711, 9585, 1010, 3483, 269, 1703, 568, 811, 547, 3450, 982, 602, 269, 1261, 1590, 581, 22537, 269, 1261, 949, 991, 547, 1118, 791, 668, 696, 340, 23937, 547, 1010, 2911, 269, 2659, 1565, 547, 11883, 609, 519, 2115, 540, 519, 5304, 538, 713, 1259, 786, 3313, 547, 513, 1390, 6708, 707, 7145, 607, 513, 4116, 269, 0, 13070, 22567, 639, 1544, 760, 12447, 12876, 2742, 790, 454, 763, 9622, 12245, 12891, 16004, 337, 630, 13070, 22567, 639, 1544, 760, 12447, 12876, 2742, 790, 264, 5170, 547, 1459, 2042, 585, 11849, 4054, 538, 3345, 3013, 269, 1284, 4076, 4988, 519, 5013, 827, 713, 11641, 538, 3105, 4930, 1107, 5225, 1294, 281, 9622, 12245, 12891, 645, 648, 337, 543, 476, 274, 9669, 547, 23618, 9622, 12245, 12891, 645, 648, 337, 1107, 855, 649, 723, 930, 10311, 827, 2487, 7760, 538, 4831, 532, 713, 11641, 563, 18693, 665, 2632, 1503, 1107, 513, 6390, 6211, 1852, 1107, 1772, 513, 1184, 676, 799, 11975, 267, 8934, 527, 6950, 267, 610, 13596, 2569, 5521, 11641, 5095, 269, 1452, 2067, 14763, 666, 581, 26203, 676, 3425, 547, 1118, 873, 811, 2500, 693, 4227, 5095, 540, 1978, 11641, 7786, 563, 27650, 11975, 540, 519, 900, 14283, 11849, 16004, 337, 454, 30943, 3574, 701, 1188, 619, 616, 519, 3119, 11975, 540, 519, 900, 14283, 11849, 16004, 337, 630, 292, 5723, 264, 538, 3345, 3013, 269, 7111, 8934, 527, 6950, 1107, 7786, 799, 3049, 593, 267, 543, 13604, 6146, 267, 741, 14747, 1107, 1331, 519, 1079, 2000, 1441, 9221, 18133, 16004, 337, 630, 13070, 22567, 639, 21536, 710, 9850, 264, 543, 19730, 2840, 577, 16004, 337, 630, 13070, 22567, 639, 606, 3495, 639, 1070, 799, 616, 1312, 1644, 547, 661, 5723, 269, 10251, 267, 4352, 3574, 701, 1188, 619, 543, 5065, 8934, 527, 6950, 6146, 930, 661, 5723, 16793, 267, 789, 723, 711, 1044, 2111, 547, 18481, 16401, 661, 5723, 5095, 547, 2061, 4054, 689, 12955, 563, 14722, 616, 4867, 10478, 585, 3606, 8934, 527, 1355, 2249, 689, 519, 5065, 2039, 540, 519, 900, 14283, 11849, 16004, 337, 538, 5607, 547, 5305, 538, 3345, 3013, 267, 609, 519, 3804, 540, 2810, 519, 1297, 540, 661, 5723, 5798, 543, 16793, 7166, 543, 23646, 519, 2557, 693, 799, 11849, 4054, 616, 7166, 563, 1103, 519, 2063, 1906, 1296, 267, 519, 22340, 814, 5950, 29097, 1652, 729, 1186, 1107, 838, 987, 3780, 7523, 2088, 324, 1107, 538, 661, 5723, 19899, 6479, 2127, 269, 1452, 729, 1186, 6146, 519, 22404, 2038, 538, 741, 29488, 267, 1354, 789, 666, 10969, 622, 811, 4054, 538, 938, 2950, 267, 543, 519, 3173, 616, 15891, 13124, 23904, 827, 519, 1967, 540, 519, 1788, 563, 1103, 4167, 15969, 547, 1852, 519, 900, 14283, 11849, 16004, 337, 454, 15703, 5521, 8336, 2472, 616, 2139, 547, 21427, 585, 1852, 540, 900, 14283, 11849, 16004, 337, 630, 292, 5723, 1040, 1703, 616, 513, 1297, 540, 2188, 3238, 538, 519, 2953, 946, 540, 891, 267, 2705, 267, 1519, 519, 3529, 779, 4087, 267, 1871, 267, 543, 1072, 563, 10932, 814, 3254, 602, 5521, 8336, 5574, 616, 3648, 811, 2500, 593, 661, 5723, 19899, 6479, 11849, 4054, 609, 1447, 982, 476, 2004, 260, 24588, 30034, 269, 19029, 609, 3152, 982, 476, 2004, 260, 24588, 30034, 1058, 581, 6569, 543, 17411, 538, 13076, 609, 2199, 4808, 689, 707, 6694, 10137, 3028, 563, 28770, 12245, 11849, 16004, 337, 5521, 8336, 2126, 3681, 2139, 585, 946, 676, 21427, 616, 7768, 540, 513, 576, 874, 622, 267, 708, 573, 659, 331, 641, 5090, 267, 543, 5924, 12308, 1014, 573, 514, 269, 1452, 616, 2356, 4294, 538, 519, 5614, 607, 3037, 546, 29168, 1472, 519, 3490, 540, 519, 11849, 4054, 267, 543, 616, 6700, 585, 946, 593, 4054, 602, 616, 1447, 982, 5111, 476, 5325, 6279, 630, 349, 6344, 4699, 264, 538, 18592, 563, 2005, 779, 1271, 547, 4063, 602, 891, 1058, 711, 581, 4294, 952, 15496, 2371, 616, 1459, 1472, 519, 3490, 540, 519, 3529, 267, 607, 519, 5521, 8336, 1223, 1847, 883, 519, 22060, 540, 2371, 20392, 621, 547, 3542, 3215, 7786, 269, 4746, 267, 5521, 15969, 5627, 708, 573, 659, 331, 641, 5090, 723, 7453, 7182, 585, 519, 2179, 602, 666, 16155, 581, 4294, 829, 23505, 1142, 1032, 267, 1818, 873, 4652, 527, 585, 946, 585, 8156, 2789, 13452, 4054, 610, 585, 3574, 331, 1824, 543, 4104, 539, 2127, 563, 11693, 519, 3604, 538, 3498, 3928, 543, 9993, 593, 6165, 267, 707, 1655, 4781, 949, 581, 2126, 676, 513, 3529, 1416, 3318, 269, 14755, 1373, 1031, 607, 513, 546, 3402, 267, 708, 573, 659, 331, 641, 5090, 666, 849, 581, 22280, 883, 519, 3037, 676 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12106, 540, 9913, 543, 7900, 6575, 267, 835, 3112, 26777, 519, 4241, 2729, 540, 16222, 4648, 269, 1452, 2043, 3337, 938, 2686, 6386, 267, 4161, 6848, 8155, 267, 543, 1683, 721, 609, 18216, 691, 545, 2833, 602, 1312, 7038, 543, 679, 13097, 269, 769, 713, 1770, 267, 649, 786, 2263, 519, 2729, 540, 1896, 9565, 5515, 538, 519, 1158, 540, 16222, 267, 5373, 4296, 1063, 741, 2123, 15322, 543, 519, 6626, 3140, 543, 2686, 8658, 538, 799, 789, 5030, 269, 1284, 786, 849, 4983, 875, 891, 26974, 3740, 23806, 723, 2451, 30170, 7436, 593, 4207, 2773, 2853, 780, 5978, 1101, 4137, 540, 1719, 568, 654, 518, 1676, 14114, 339, 1729, 13153, 670, 550, 580, 630, 6642, 277, 268, 2735, 275, 1070, 513, 4436, 17009, 520, 267, 2278, 267, 543, 19784, 4171, 1272, 2269, 9536, 1194, 519, 1899, 1063, 1249, 543, 5708, 269, 14878, 5523, 519, 834, 516, 1602, 614, 945, 6785, 1932, 1454, 2437, 13153, 670, 550, 580, 729, 3051, 344, 547, 6213, 1344, 1813, 547, 1010, 20320, 7518, 1080, 267, 2943, 646, 8359, 547, 8756, 1010, 1702, 543, 1995, 883, 9159, 5339, 1568, 269, 7324, 1010, 1034, 8037, 12326, 616, 834, 291, 773, 570, 648, 3541, 654, 3881, 257, 9497, 763, 27176, 540, 519, 2622, 8442, 543, 834, 309, 698, 629, 1495, 328, 7967, 19804, 5884, 8210, 1372, 257, 9497, 310, 663, 1359, 15907, 519, 3047, 19823, 1312, 540, 799, 2709, 10578, 1350, 31663, 525, 883, 519, 2520, 641, 29176, 543, 8739, 14426, 6384, 540, 1010, 942, 269, 1306, 513, 14671, 987, 543, 7045, 337, 267, 13153, 670, 550, 580, 22993, 519, 6891, 540, 519, 11193, 812, 267, 16900, 28006, 1063, 1585, 5107, 1247, 4509, 513, 32344, 7029, 547, 7214, 7279, 543, 7499, 4082, 780, 5194, 8903, 4137, 538, 519, 3045, 1023, 540, 16222, 1686, 568, 5261, 670, 269, 645, 919, 630, 5908, 271, 268, 4572, 273, 1070, 606, 1977, 29555, 332, 6048, 945, 13084, 16845, 519, 2856, 540, 5355, 32416, 1510, 14296, 269, 9282, 711, 513, 16222, 3318, 829, 694, 267, 645, 919, 262, 10752, 1185, 513, 7096, 1764, 593, 519, 9117, 2146, 267, 3226, 998, 1010, 3310, 593, 519, 960, 540, 12021, 5639, 543, 4633, 4116, 26701, 514, 13017, 331, 831, 269, 645, 919, 5156, 602, 3308, 1035, 8462, 1223, 581, 4824, 998, 11005, 267, 3750, 5751, 267, 543, 7943, 4598, 30867, 1935, 602, 6949, 730, 609, 11051, 5275, 547, 3986, 741, 3942, 4527, 543, 4276, 609, 9458, 269, 1635, 14237, 3152, 4656, 540, 741, 4703, 543, 10450, 267, 22407, 941, 1732, 2111, 547, 4497, 538, 1018, 23951, 560, 656, 514, 12254, 529, 15442, 24989, 17941, 834, 16955, 9117, 2437, 7551, 5807, 811, 8076, 543, 2502, 12644, 269, 901, 8561, 593, 11455, 1582, 18221, 3788, 4143, 2221, 267, 607, 1082, 4207, 9117, 2553, 3136, 547, 6451, 3741, 6508, 689, 645, 919, 262, 12191, 780, 307, 9506, 938, 3007, 547, 24420, 23412, 267, 649, 7237, 519, 605, 323, 16406, 13007, 540, 24204, 1998, 25424, 4498, 926, 630, 321, 269, 476, 3192, 277, 1070, 606, 18303, 14787, 543, 2278, 1655, 1634, 585, 1010, 27789, 12583, 540, 30768, 267, 1519, 834, 306, 777, 16772, 281, 589, 16684, 3778, 540, 9966, 1678, 785, 1701, 2755, 5097, 6444, 585, 1010, 15923, 12591, 267, 4498, 926, 814, 5887, 3293, 883, 519, 7706, 540, 12416, 609, 4249, 971, 607, 834, 763, 7831, 540, 519, 12968, 652, 9093, 257, 543, 834, 763, 9546, 10290, 25925, 1701, 14301, 2390, 1010, 14046, 6791, 267, 4498, 926, 13492, 6386, 602, 23827, 622, 10296, 1514, 2152, 267, 18136, 9458, 547, 2992, 2390, 519, 10848, 540, 1480, 2470, 543, 938, 3838, 3140, 18330, 269, 3571, 2702, 547, 1253, 650, 5318, 2220, 520, 1127, 540, 1344, 883, 7558, 1043, 543, 2219, 4538, 12043, 14753, 547, 519, 1379, 540, 9423, 607, 513, 1797, 540, 1266, 754, 1359, 6568, 267, 26354, 5188, 267, 543, 1651, 1746, 1689, 780, 1103, 6236, 519, 1909, 540, 2021, 538, 5935, 519, 5251, 540, 2413, 16222, 267, 649, 1131, 581, 1121, 1170, 711, 547, 2446, 519, 14262, 7418, 540, 3703, 31075, 595, 776, 331, 26235, 630, 321, 269, 476, 4350, 279, 1040, 2060, 513, 4876, 17364, 3670, 5756, 267, 26235, 814, 9846, 13934, 6671, 10565, 3029, 543, 21044, 14908, 267, 3695, 3584, 8151, 689, 4008, 6214, 543, 14920, 547, 2916, 1689, 543, 2804, 8635, 269, 4173, 5499, 946, 540, 1893, 267, 2497, 267, 543, 9135, 814, 6273, 5481, 540, 5830, 547, 7903, 519, 6302, 540, 1018, 568, 2009, 593, 3942, 267, 11744, 602, 16222, 991, 711, 15666, 547, 14461, 1106, 27909, 538, 1931, 547, 13469, 609, 9458, 269, 3414, 1200, 26772, 7029, 547, 17634, 543, 1016, 11437, 267, 26235, 6763, 607, 513, 15266, 547, 519, 13710, 1761, 540, 1148, 607, 513, 18463, 585, 2565, 3206, 543, 1514, 7004, 780, 7661, 267, 1100, 4901, 540, 16222, 24788, 2456, 1131, 581, 2347, 1510, 14344, 519, 11972, 9371, 540, 14470, 8689, 543, 16222, 19995, 7603, 5414, 717, 8527, 22603, 630, 4350, 274, 268, 1960, 280, 1040, 1234, 915, 532, 5010, 1143, 543, 4715, 12386, 538, 12797, 540, 4174, 5529, 16365, 24299, 602, 15091, 17076, 268, 7596, 1466, 14479, 267, 717, 8527, 22603, 8179, 547, 1711, 1018, 646, 5219, 547, 607, 834, 335, 3233, 16222, 257, 1765, 704, 845, 1734, 12082, 538, 2168, 640, 267, 13047, 17117, 267, 543, 3929, 13438, 269, 6239, 547, 1010, 5075, 729, 519, 1523, 540, 834, 16129, 2258, 520, 10216, 2437, 13296, 11051, 7722, 538, 11826, 2866, 20816, 2966, 547, 14816, 2476, 970, 8735, 748, 6106, 540, 11805, 823, 267, 7175, 873, 547, 1569, 4514, 2157, 540, 5168, 543, 13597, 269, 4014, 717, 8527, 22603, 781, 2409, 949, 2408, 3665, 676, 4207, 4441, 267, 1010, 29287, 13287, 540, 19969, 543, 25055, 5170, 547, 26871, 828, 622, 2429, 519, 2518, 16222, 6429, 267, 26655, 3388, 689, 3135, 10391, 15138, 2833, 547, 25282, 26254, 13144, 780, 1103, 3932, 267, 519, 2729, 543, 11678, 540, 891, 7415, 16222, 4648, 4196, 607, 14984, 23106, 540, 519, 13710, 1379, 540, 1148, 543, 519, 2956, 540, 4101, 3964, 8155, 269, 6787, 10188, 519, 30217, 748, 7297, 540, 3486, 23372, 899, 654, 518, 1676, 14114, 339, 1729, 13153, 670, 550, 580, 610, 11319, 519, 6302, 540, 10565, 1106, 543, 1543, 20221, 3288, 595, 776, 331, 26235, 267, 891, 2043, 723, 2451, 30170, 7436, 593, 519, 10600, 540, 16222, 543, 2773, 269, 1635, 6313, 741, 9757, 15322, 267, 649, 2744, 3407, 4030, 883, 519, 2479, 21608, 2470, 540, 7499, 2259, 543, 922, 4390, 547, 8300, 6209, 19929, 1472, 930, 540, 519, 1034, 10296, 4145, 6849, 8103, 2221, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 310, 518, 1676, 14114, 339, 1729, 13153, 670, 550, 580, 912, 11847, 7163, 5808, 918, 2908, 18320, 13518, 454, 7093, 1027, 532, 519, 7736, 540, 519, 2622, 454, 763, 29361, 540, 5384, 454, 306, 1506, 6674, 568, 1250, 8745, 454, 520, 519, 23467, 1157, 31777, 656, 454, 19365, 670, 269, 645, 919, 2676, 292, 13433, 697, 9453, 3794, 13293, 454, 24523, 267, 538, 513, 454, 293, 919, 543, 674, 3753, 454, 763, 17125, 18146, 21708, 454, 763, 30433, 540, 5384, 454, 312, 340, 1998, 25424, 4498, 926, 912, 306, 777, 16772, 281, 589, 16684, 3778, 540, 454, 763, 7831, 540, 519, 454, 763, 9546, 10290, 25925, 454, 763, 21756, 31541, 454, 10048, 5808, 1744, 582, 590, 20672, 325, 3072, 590, 553, 22792, 454, 514, 519, 14730, 454, 30761, 611, 540, 513, 9540, 26761, 454, 763, 27119, 613, 540, 454, 296, 10288, 713, 1884, 1172, 4115, 1433, 454, 6518, 729, 3370, 538, 519, 1032, 476, 4572, 279, 998, 32312, 2593, 267, 543, 950, 621, 3357, 594, 454, 13195, 10169, 14281, 547, 1265, 602, 621, 729, 9102, 1210, 519, 2757, 454, 325, 571, 19241, 584, 2511, 269, 4935, 267, 585, 1187, 267, 594, 786, 3136, 1934, 609, 454, 320, 9808, 19241, 584, 13944, 563, 2026, 594, 1589, 594, 723, 2854, 1934, 15662, 379, 727, 3602, 1354, 267, 594, 579, 385, 379, 324, 454, 1492, 12380, 5665, 15662, 379, 344, 385, 379, 339, 655, 267, 543, 585, 1004, 945, 666, 1405, 581, 536, 6139, 1042, 609, 454, 14048, 519, 1202, 543, 16080, 540, 16814, 267, 519, 1290, 1842, 518, 1982, 799, 568, 851, 540, 454, 1492, 7256, 12507, 4486, 536, 992, 385, 379, 518, 2306, 621, 552, 320, 385, 379, 344, 585, 803, 547, 1175, 1832, 4946, 519, 385, 379, 324, 454, 331, 8077, 5931, 883, 1250, 15662, 379, 924, 269, 1809, 4352, 972, 15662, 379, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 19739, 24209, 1299, 27483, 302, 10292, 24209, 1315, 30007, 1299, 27400, 8551, 1315, 26308, 28968, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 991, 267, 1352, 3081, 267, 547, 12882, 1372, 13892, 873, 3544, 540, 519, 11440, 26381, 3098, 5889, 563, 5194, 835, 540, 1200, 2013, 2090, 568, 519, 946, 540, 11147, 11341, 547, 519, 1163, 13955, 540, 7366, 540, 5215, 540, 13114, 29562, 689, 741, 22657, 538, 476, 3707, 279, 268, 280, 563, 306, 30371, 14879, 267, 607, 1352, 3081, 267, 12882, 529, 2404, 609, 16857, 19479, 5889, 543, 538, 519, 5216, 1296, 1739, 519, 5137, 540, 5840, 1063, 476, 273, 267, 10384, 543, 476, 276, 267, 1822, 13114, 29562, 267, 6140, 796, 28534, 543, 13059, 585, 2804, 610, 2123, 4128, 267, 941, 7166, 563, 763, 8254, 30232, 9505, 614, 267, 799, 32195, 1055, 1769, 547, 7001, 606, 3239, 267, 3587, 513, 14165, 585, 519, 1852, 543, 946, 540, 2592, 563, 4910, 2700, 547, 713, 568, 513, 1184, 540, 12882, 684, 14048, 22030, 5889, 267, 26115, 9870, 519, 12882, 574, 704, 658, 9505, 1562, 5889, 26115, 543, 20392, 20748, 5380, 454, 2690, 713, 2601, 267, 589, 12728, 382, 363, 3333, 320, 10897, 9567, 599, 7947, 338, 519, 17568, 540, 1148, 1568, 17033, 538, 2474, 540, 15312, 1317, 540, 519, 1259, 621, 17337, 519, 2250, 689, 519, 1459, 563, 30791, 28868, 899, 12882, 691, 1686, 5889, 849, 957, 607, 9505, 1562, 267, 29473, 6984, 2055, 540, 945, 814, 519, 1318, 547, 4159, 3615, 3144, 689, 824, 2477, 630, 3697, 519, 5484, 514, 11487, 8240, 267, 3487, 1156, 517, 27371, 543, 1454, 3116, 538, 519, 3703, 7467, 1916, 5889, 22025, 1113, 1686, 281, 796, 14048, 22030, 5889, 25361, 936, 476, 7785, 3817, 865, 972, 568, 513, 2603, 547, 7558, 543, 1200, 1603, 568, 1008, 25607, 543, 18398, 563, 4263, 2053, 519, 18340, 28197, 3294, 543, 2357, 2471, 593, 519, 8231, 846, 855, 519, 23473, 540, 1200, 16786, 17993, 998, 267, 1818, 713, 606, 1271, 1433, 563, 5889, 22025, 1113, 1686, 281, 796, 14048, 22030, 5889, 267, 676, 589, 686, 7578, 589, 12728, 382, 363, 3333, 320, 10897, 9567, 599, 267, 568, 3370, 676, 12411, 334, 7734, 0, 3682, 12723, 16501, 3652, 1131, 1394, 513, 2518, 6876, 593, 10300, 976, 454, 763, 772, 2529, 269, 7025, 10466, 10837, 568, 2921, 8292, 2394, 5988, 476, 279, 593, 6069, 3652, 602, 1131, 6615, 519, 2504, 543, 946, 540, 10300, 976, 269, 634, 6464, 267, 1031, 538, 3595, 4027, 1141, 6213, 5122, 3937, 1131, 581, 8697, 676, 1216, 267, 723, 1044, 5532, 547, 519, 22930, 540, 519, 3618, 779, 17645, 4494, 563, 763, 3652, 556, 30185, 1346, 1305, 856, 538, 519, 27292, 16257, 267, 9896, 538, 5181, 676, 476, 2190, 2477, 269, 634, 1587, 540, 513, 10554, 7036, 539, 676, 519, 2136, 8315, 7025, 19510, 267, 519, 10300, 517, 9993, 1131, 979, 883, 1198, 1614, 1296, 1310, 519, 19142, 2477, 3731, 1518, 519, 7014, 267, 799, 568, 547, 1491, 1747, 676, 5130, 540, 476, 2735, 280, 563, 13295, 267, 693, 519, 4098, 540, 476, 1960, 273, 267, 2504, 543, 946, 540, 16199, 517, 476, 13199, 272, 267, 476, 9873, 272, 267, 543, 476, 13301, 273, 1131, 723, 547, 2132, 547, 476, 2735, 277, 2157, 269, 8409, 2157, 5749, 1406, 1134, 13006, 2943, 267, 1498, 269, 589, 13959, 16501, 4341, 1765, 821, 538, 3803, 1106, 799, 3576, 1198, 5612, 2390, 1615, 340, 766, 2063, 3923, 1765, 7528, 2231, 13557, 12696, 267, 791, 13024, 267, 543, 1163, 13024, 547, 1867, 741, 476, 2735, 277, 2157, 547, 519, 8116, 269, 0, 4407, 32668, 569, 2542, 513, 1433, 267, 519, 6653, 5639, 540, 513, 5152, 12704, 12599, 998, 519, 6885, 269, 634, 3280, 949, 723, 2097, 689, 519, 581, 752, 540, 513, 27629, 269, 901, 4620, 924, 12457, 6177, 568, 4625, 20027, 269, 4256, 6852, 3483, 568, 547, 1683, 2575, 585, 721, 547, 2972, 269, 901, 568, 1946, 14639, 7200, 1047, 968, 9928, 719, 892, 5685, 577, 267, 519, 16502, 538, 1677, 23703, 513, 631, 20689, 267, 568, 2141, 5143, 602, 968, 527, 779, 513, 5609, 547, 6146, 513, 27629, 892, 630, 15686, 1916, 2691, 621, 2501, 547, 519, 1950, 2152, 540, 14882, 543, 2669, 267, 519, 5316, 1081, 540, 16620, 666, 1831, 28354, 811, 2352, 269, 22489, 10557, 779, 3209, 1677, 23703, 513, 631, 20689, 568, 1305, 538, 2904, 18474, 267, 513, 14070, 4884, 538, 7013, 7330, 1282, 519, 4279, 12870, 543, 5205, 519, 4693, 267, 24235, 543, 22638, 2669, 540, 8751, 20484, 267, 606, 3979, 12677, 812, 267, 585, 513, 6760, 646, 27229, 1705, 711, 3479, 269, 634, 1257, 7361, 6799, 2904, 7578, 661, 6202, 607, 3743, 585, 8751, 779, 2669, 543, 4352, 713, 568, 3020, 547, 930, 6708, 267, 972, 616, 5693, 1896, 824, 2188, 693, 1404, 269, 634, 6013, 543, 26760, 540, 2904, 7578, 661, 6202, 5693, 948, 519, 2621, 547, 17736, 790, 602, 19411, 622, 538, 8751, 779, 8429, 269, 2334, 1373, 1767, 267, 519, 3020, 2014, 540, 891, 2621, 568, 12082, 538, 519, 28639, 543, 2112, 6244, 1514, 3889, 454, 1103, 1677, 23703, 589, 631, 12177, 16819, 267, 22489, 682, 324, 2982, 602, 621, 568, 1732, 547, 1118, 3664, 1759, 593, 707, 1378, 25903, 982, 2486, 781, 20772, 269, 8422, 3197, 602, 1500, 741, 3375, 1759, 593, 741, 1378, 25903, 616, 5900, 16307, 267, 4425, 334, 7101, 2917, 267, 808, 655, 269, 4634, 1498, 2486, 729, 1996, 873, 267, 789, 12758, 547, 1018, 789, 2219, 568, 1318, 543, 1500, 741, 1378, 3664, 269, 5900, 16307, 3893, 15653, 676, 2486, 585, 4543, 513, 27303, 11954, 812, 267, 646, 1500, 513, 3375, 799, 729, 1360, 8966, 1317, 1034, 540, 519, 1004, 538, 2904, 18474, 941, 22457, 543, 13603, 593, 3109, 1004, 269, 5900, 16307, 2306, 3664, 1759, 593, 1010, 1378, 25903, 676, 2921, 593, 519, 8751, 20484, 2013, 267, 519, 2486, 941, 1996, 1864, 543, 1256, 1767, 968, 4777, 596, 9718, 562, 7052, 1262, 5900, 16307, 9495, 263, 299, 2465, 476, 4037, 264, 3025, 729, 14281, 676, 519, 3375, 1140, 16307, 1500, 267, 543, 1034, 1004, 941, 1996, 1864, 543, 3323, 547, 13842, 1864, 543, 1118, 1187, 540, 1864, 563, 7628, 513, 6370, 267, 934, 6748, 513, 3109, 812, 585, 513, 6760, 789, 1705, 711, 3479, 568, 10168, 543, 1210, 513, 14049, 711, 585, 606, 14159, 3364, 855, 7863, 519, 3283, 596, 1416, 585, 269, 834, 8751, 328, 267, 1705, 596, 1491, 2904, 7578, 661, 6202, 1862, 8751, 20484, 1412, 338, 25654, 941, 607, 1434, 607, 5900, 16307, 257, 630, 299, 2465, 3707, 268, 4198, 1040, 901, 10839, 2982, 8751, 1412, 338, 26454, 540, 2904, 7578, 1412, 338, 22149, 1310, 934, 6748, 1864, 585, 986, 4771, 1200, 269, 901, 849, 2982, 602, 8751, 568, 17608, 1317, 952, 646, 729, 16944, 646, 1131, 723, 20335, 17872, 855, 646, 7283, 9350, 1282, 519, 4693, 269, 27029, 1103, 1677, 23703, 513, 631, 20689, 676, 22489, 10557, 267, 3197, 4122, 2408, 835, 1259, 267, 855, 538, 5168, 616, 4625, 1114, 1004, 269, 1280, 1383, 267, 1247, 11427, 269, 14878, 846, 8385, 5526, 1360, 16970, 543, 1611, 267, 1352, 568, 7000, 547, 581, 5393, 12703, 269, 4746, 267, 6004, 269, 595, 7342, 5069, 5526, 547, 581, 1360, 1147, 569, 543, 14220, 267, 855, 646, 18327, 5128, 547, 581, 513, 22233, 1367, 269, 14936, 267, 1247, 4425, 334, 7101, 2917, 568, 8385, 17814, 607, 9409, 543, 19225, 995, 267, 646, 568, 2663, 3254, 547, 581, 513, 5869, 269, 22489, 10557, 2306, 3197, 2408, 835, 1259, 543, 1287, 957, 1776, 1259, 538, 1931, 547, 1397, 519, 15739, 32735, 1063, 5920, 543, 4641, 563, 2026, 513, 4819, 267, 1100, 835, 6499, 547, 581, 2938, 607, 513, 10800, 731, 269, 4475, 267, 789, 3479, 3527, 547, 2119, 547, 6961, 543, 6003, 2933, 607, 12703, 269, 769, 1215, 547, 23703, 513, 631, 20689, 676, 22489, 10557, 267, 808, 655, 28420, 547, 667, 650, 543, 27533, 602, 4425, 334, 7101, 2917, 568, 6151, 12845, 2711, 4189, 20599, 602, 781, 9678, 538, 1010, 1753, 269, 1635, 2870, 713, 7301, 3961, 267, 950, 808, 655, 4422, 593, 1082, 29412, 9035, 547, 519, 7101, 2917, 1747, 267, 646, 18327, 1010, 22838, 547, 1010, 2828, 269, 1717, 267, 1010, 8990, 547, 6961, 1010, 22838, 543, 10825, 6013, 827, 4425, 334, 9673, 1206, 1864, 689, 10771, 609, 4425, 334, 7101, 2917, 563, 5475, 8942, 547, 12638, 1079, 1453, 267, 7585, 661, 6202, 568, 16091, 543, 588, 629, 5523, 547, 2669, 268, 606, 2680, 602, 8761, 519, 16048, 7209, 543, 3961, 540, 4425, 334, 7101, 2917, 269, 2776, 16227, 1634, 607, 8806, 606, 9678, 812, 13519, 267, 519, 1915, 4425, 334, 814, 1454, 811, 3178, 982, 1022, 540, 1010, 12543, 16545, 269, 22489, 10557, 779, 1677, 23703, 513, 631, 20689, 8761, 519, 3020, 7209, 540, 4425, 334, 607, 10268, 998, 519, 1138, 850, 540, 519, 27629, 267, 11052, 540, 1010, 7023, 779, 11673, 267, 543, 519, 24123, 4729, 6335, 538, 519, 3803, 11271, 540, 519, 1433, 563, 306, 1539, 1214, 814, 513, 1259, 540, 1818, 1004, 1745, 899, 789, 723, 547, 957, 513, 1978, 1259, 538, 1931, 547, 581, 7608, 269, 769, 1249, 267, 1053, 2221, 616, 6026, 547, 581, 3401, 711, 13794, 267, 799, 2337, 873, 711, 547, 2887, 883, 519, 15673, 725, 540, 2486, 269, 3502, 1152, 568, 713, 3020, 2221, 267, 855, 621, 729, 849, 3020, 538, 519, 19412, 2906, 538, 519, 5045, 269, 769, 1677, 23703, 589, 631, 20689, 267, 513, 1650, 1305, 538, 17665, 538, 519, 476, 4350, 271, 338, 267, 22489, 10557, 3096, 18572, 547, 1397, 875, 2486, 7506, 1004, 779, 5615, 998, 1200, 3197, 667, 20462, 639, 31434, 267, 2904, 7578, 661, 6202, 543, 4425, 334, 7101, 2917, 269, 667, 20462, 639, 454, 1103, 519, 1433, 1677, 23703, 513, 631, 20689, 676, 22489, 10557, 267, 519, 1915, 5900, 16307, 568, 5100, 543, 8797, 543, 3947, 1082, 4773, 540, 5796, 547, 1010, 1453, 269, 2290, 540, 519, 4773, 540, 5796, 568, 968, 8245, 2952, 1317, 649, 941, 561, 17673, 513, 4627, 1296, 1354, 649, 3323, 568, 1100, 2601, 585, 721, 711, 547, 2119, 547, 3094, 892, 630, 299, 2465, 476, 6200, 1040, 901, 10039, 547, 950, 5900, 16307, 16976, 547, 9718, 8751, 20484, 538, 5480, 1256, 1498, 646, 6487, 602, 789, 4465, 1406, 3094, 269, 4014, 8751, 568, 17608, 267, 543, 972, 568, 1100, 2963, 602, 646, 568, 16944, 267, 646, 568, 1869, 29064, 607, 16944, 676, 519, 21139, 269, 769, 19220, 540, 1010, 3646, 1373, 538, 642, 664, 267, 621, 2306, 2631, 585, 5900, 16307, 547, 9718, 8751, 20484, 563, 4910, 1051, 1772, 6206, 769, 1677, 23703, 513, 631, 20689, 267, 22489, 10557, 4564, 602, 2463, 568, 8156, 1866, 519, 1259, 835, 6499, 547, 581, 5701, 1256, 1498, 2576, 949, 581, 2182, 547, 2463, 269, 4317, 5126, 3340, 2463, 1317, 1373, 16614, 547, 2576, 1223, 948, 519, 3510, 269, 634, 1915, 540, 5900, 16307, 5685, 577, 9727, 2463, 676, 18245, 519, 856, 4751, 338, 267, 4008, 267, 543, 1114, 14797, 269, 5900, 16307, 568, 16614, 547, 519, 856, 4751, 338, 971, 607, 4425, 334, 7101, 2917, 563, 5331, 952, 596, 4957, 1945, 547, 581, 1732, 855, 3025, 554, 730, 596, 1247, 596, 941, 3257, 621, 269, 3973, 950, 596, 6368, 8737, 1152, 930, 1004, 15874, 1018, 596, 1705, 269, 901, 568, 1018, 5900, 16307, 543, 4425, 334, 1705, 547, 1689, 1004, 779, 5133, 543, 5839, 4861, 781, 5133, 269, 769, 519, 3209, 1677, 23703, 513, 631, 20689, 22489, 10557, 2982, 721, 602, 5900, 16307, 543, 4425, 334, 7101, 2917, 616, 3610, 676, 4657, 1004, 781, 2729, 676, 4543, 873, 1294, 1114, 2798, 540, 2070, 563, 272, 269, 5900, 16307, 4564, 5191, 543, 3160, 2924, 585, 782, 2367, 267, 1312, 2093, 6829, 538, 519, 5192, 339, 903, 7921, 17372, 1317, 646, 10692, 585, 513, 11954, 812, 779, 5191, 538, 513, 22457, 5480, 269, 1879, 8751, 20484, 779, 2013, 729, 4843, 547, 5900, 16307, 267, 646, 1223, 4076, 3362, 1767, 1100, 267, 855, 5900, 16307, 1705, 1018, 646, 1705, 1018, 5518, 12493, 4280, 1864, 547, 543, 4797, 1010, 4339, 585, 5191, 269, 634, 5192, 339, 903, 7921, 17372, 10692, 585, 519, 9139, 543, 865, 1705, 5900, 16307, 269, 1261, 5795, 8751, 20484, 1010, 14520, 628, 14821, 9406, 547, 513, 15818, 543, 6836, 547, 7753, 5839, 4861, 779, 24407, 1813, 1184, 540, 1876, 538, 519, 4674, 540, 4758, 513, 12102, 1010, 5191, 799, 568, 1018, 519, 5192, 339, 903, 7921, 17372, 9607, 563, 763, 1433, 1677, 23703, 513, 631, 20689, 3576, 1747, 538, 519, 476, 4350, 271, 779, 538, 513, 13110, 2025, 4884, 1572, 2904, 18474, 269, 32641, 729, 693, 922, 5207, 267, 1247, 6009, 941, 693, 922 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5278, 540, 519, 1034, 1271, 12372, 538, 519, 1646, 540, 15690, 538, 11785, 543, 5924, 18368, 2429, 519, 476, 4572, 271, 338, 543, 476, 4350, 271, 338, 543, 3564, 941, 7900, 8362, 1282, 519, 1101, 8717, 540, 519, 14206, 2540, 538, 9456, 12590, 269, 634, 21722, 4797, 2429, 519, 2540, 267, 543, 11785, 3788, 835, 540, 519, 3119, 15690, 7740, 540, 519, 2136, 2276, 269, 23897, 1343, 540, 15690, 12372, 693, 930, 1448, 538, 741, 2729, 723, 1572, 11785, 1753, 269, 1548, 5205, 568, 513, 1592, 540, 519, 2749, 779, 17321, 8279, 563, 763, 1592, 2882, 930, 540, 519, 1034, 1271, 15690, 12372, 945, 2919, 741, 2575, 538, 543, 2282, 11785, 269, 2368, 12372, 8057, 909, 1934, 269, 11524, 6594, 1934, 269, 1656, 930, 6410, 1934, 543, 2968, 11785, 2103, 563, 5278, 540, 891, 12372, 1185, 513, 2101, 1764, 593, 519, 1646, 540, 15690, 538, 11785, 269, 11524, 2919, 741, 2575, 1934, 543, 2968, 4583, 1310, 6028, 519, 1858, 269, 2353, 540, 873, 1765, 16838, 1346, 945, 616, 5266, 7164, 1765, 17647, 1500, 938, 2729, 21950, 563, 300, 2801, 1488, 6339, 974, 267, 4535, 538, 1715, 3840, 538, 476, 4350, 273, 16172, 1310, 1200, 3237, 6410, 972, 689, 11785, 267, 521, 902, 543, 4249, 519, 14440, 269, 4173, 4651, 729, 513, 14941, 1067, 543, 1200, 3993, 513, 15854, 1356, 269, 769, 476, 4198, 273, 1200, 11515, 6700, 602, 15516, 269, 1488, 6339, 974, 6443, 519, 17939, 2421, 11066, 6512, 267, 543, 1200, 11785, 4876, 3459, 269, 2701, 4797, 547, 960, 5097, 538, 11785, 543, 1715, 3840, 2429, 1200, 4876, 609, 971, 12372, 607, 661, 889, 773, 29965, 267, 667, 714, 5414, 717, 14792, 9225, 267, 16099, 11875, 15838, 267, 4414, 12275, 1633, 630, 1729, 7247, 1352, 729, 9310, 585, 513, 1974, 1070, 4032, 5178, 773, 267, 23045, 2006, 8316, 9469, 267, 23413, 11276, 14355, 267, 543, 1082, 1866, 269, 2701, 814, 6026, 693, 519, 1715, 4789, 20271, 2218, 543, 11992, 543, 814, 7902, 593, 8613, 538, 513, 32282, 17245, 543, 593, 519, 1397, 267, 17166, 19656, 269, 1306, 851, 540, 519, 11812, 540, 634, 476, 12573, 628, 5729, 540, 4563, 3465, 775, 538, 11785, 267, 519, 2749, 11280, 2185, 17758, 547, 581, 2016, 547, 3109, 12372, 945, 723, 1500, 11108, 7418, 547, 519, 2749, 779, 2528, 269, 2201, 5130, 476, 1428, 267, 476, 2735, 279, 519, 17758, 941, 2016, 547, 808, 13403, 1635, 731, 267, 20858, 15917, 5886, 267, 17939, 2421, 11066, 267, 543, 631, 2801, 1488, 6339, 974, 563, 296, 337, 1324, 12891, 2421, 267, 513, 24622, 969, 4068, 10790, 5065, 267, 3788, 835, 540, 519, 1034, 3810, 15696, 12023, 13176, 1235, 538, 15690, 269, 1261, 6594, 693, 519, 1715, 4789, 20271, 2218, 267, 32222, 513, 14172, 1247, 7900, 538, 2199, 13164, 971, 607, 602, 3366, 676, 17130, 518, 9061, 517, 543, 3450, 824, 12372, 971, 607, 7338, 834, 12749, 9697, 257, 645, 992, 928, 269, 13536, 646, 5340, 538, 27227, 693, 519, 5845, 327, 1301, 4577, 543, 22319, 22374, 3465, 757, 30145, 543, 538, 13164, 3366, 676, 20844, 570, 714, 565, 267, 21321, 773, 6154, 17507, 267, 10793, 773, 16026, 267, 13325, 10496, 21103, 267, 4032, 5178, 773, 267, 674, 1846, 9931, 518, 267, 543, 1866, 269, 1261, 729, 513, 4759, 540, 519, 1482, 23193, 601, 8621, 17980, 17020, 602, 8284, 11785, 1014, 14105, 31473, 5340, 538, 269, 13536, 646, 8719, 30546, 18703, 538, 519, 14844, 23045, 10222, 334, 543, 1287, 8678, 519, 30546, 8891, 3205, 10222, 334, 585, 1079, 1296, 269, 1261, 5747, 593, 4989, 476, 2420, 267, 476, 2735, 278, 538, 4993, 693, 2085, 476, 5780, 269, 1703, 568, 513, 1434, 8666, 540, 12891, 2421, 593, 2985, 476, 1015, 540, 631, 6242, 545, 19475, 685, 30572, 7935, 577, 675, 476, 10436, 267, 513, 8666, 799, 849, 666, 581, 1336, 593, 2985, 476, 1001, 540, 4563, 25925, 267, 6519, 14333, 676, 7671, 3220, 580, 7714, 543, 20831, 10197, 710, 563, 305, 534, 29965, 4249, 519, 14440, 609, 606, 1935, 865, 2123, 602, 621, 568, 2352, 547, 4952, 513, 3978, 708, 527, 1807, 269, 14134, 338, 543, 4670, 15151, 616, 1010, 3119, 1875, 2173, 639, 673, 2200, 267, 3226, 4670, 1100, 597, 269, 4014, 1010, 21088, 12644, 616, 2808, 2027, 2621, 1158, 17253, 267, 930, 540, 1010, 1034, 3811, 960, 4386, 538, 519, 2796, 540, 1094, 343, 25869, 610, 13047, 5918, 657, 267, 519, 1034, 19416, 540, 971, 6292, 902, 5473, 13047, 626, 14639, 928, 10557, 630, 1492, 3735, 23013, 540, 32058, 626, 23218, 5914, 626, 6754, 16340, 333, 1314, 1040, 1261, 568, 1312, 513, 5839, 6635, 11037, 26665, 23050, 543, 2871, 1375, 523, 8583, 26665, 23050, 18579, 543, 729, 519, 15713, 17348, 540, 1715, 4789, 20271, 2218, 779, 12634, 8555, 341, 5314, 4972, 269, 1261, 5170, 4001, 693, 715, 4488, 543, 1685, 563, 3725, 889, 523, 968, 305, 889, 344, 892, 4858, 742, 5129, 1312, 25041, 564, 543, 1351, 6339, 267, 1101, 538, 11785, 538, 519, 476, 3707, 271, 338, 1141, 646, 729, 4535, 543, 1287, 538, 11785, 543, 10876, 3116, 269, 1261, 5129, 538, 13164, 3366, 676, 21207, 22110, 2023, 267, 3798, 12107, 8065, 267, 9253, 18120, 749, 267, 543, 1866, 269, 1261, 3366, 13164, 1519, 971, 12372, 607, 25272, 21025, 28225, 267, 11370, 21424, 667, 10174, 514, 267, 23045, 2006, 8316, 9469, 267, 543, 14844, 623, 15127, 269, 25007, 4858, 742, 568, 1655, 1634, 585, 1010, 12644, 609, 623, 2465, 1284, 324, 21651, 267, 30647, 16299, 21672, 267, 18581, 6153, 2006, 267, 6723, 1284, 514, 267, 543, 21207, 22110, 2023, 269, 1261, 729, 1134, 1634, 585, 1010, 18085, 1678, 2730, 7209, 267, 855, 646, 568, 1256, 1732, 1634, 585, 1010, 8449, 2178, 7209, 593, 519, 18057, 269, 1261, 5747, 593, 5988, 476, 280, 267, 476, 1220, 274, 1175, 21183, 540, 1010, 476, 10602, 628, 14512, 593, 15729, 26467, 563, 8110, 2917, 630, 27271, 25250, 834, 303, 22022, 8442, 6601, 539, 5129, 1585, 1094, 343, 2684, 2158, 543, 3366, 13164, 538, 519, 11785, 1858, 1282, 519, 476, 4489, 271, 338, 543, 476, 4572, 271, 338, 269, 13536, 646, 6410, 547, 4789, 543, 2968, 513, 4759, 540, 519, 19264, 13427, 543, 674, 597, 2006, 32427, 553, 543, 6592, 585, 519, 2098, 517, 25869, 2594, 6003, 269, 6601, 539, 3366, 1018, 568, 4440, 519, 1101, 11785, 2861, 1507, 1895, 15690, 12210, 267, 513, 2637, 32200, 5305, 630, 258, 28794, 279, 264, 6592, 593, 8734, 269, 476, 2537, 267, 476, 4572, 275, 602, 3769, 834, 307, 749, 2725, 267, 14134, 344, 28438, 1701, 25303, 670, 809, 3118, 630, 13700, 2794, 564, 543, 5555, 1094, 343, 1070, 7671, 12397, 6202, 630, 24825, 514, 1070, 6723, 667, 1380, 5435, 630, 20142, 4548, 1070, 543, 17659, 717, 578, 753, 941, 538, 1010, 13164, 563, 26469, 16340, 333, 1314, 267, 4535, 538, 11062, 593, 5130, 476, 2767, 267, 476, 4572, 277, 267, 568, 513, 32058, 626, 267, 13047, 626, 267, 2855, 9734, 267, 543, 2686, 19191, 269, 3571, 3237, 941, 12372, 267, 543, 646, 8057, 909, 795, 2459, 532, 543, 9236, 7574, 4967, 609, 20858, 15917, 5886, 267, 14105, 31473, 267, 21142, 29861, 5459, 543, 824, 1713, 2199, 12372, 269, 2991, 1164, 1153, 6754, 6039, 538, 519, 5794, 10414, 543, 5555, 519, 7981, 7896, 1282, 2622, 2782, 5565, 269, 2991, 519, 2112, 646, 5206, 12417, 585, 519, 17939, 2421, 11066, 17020, 585, 827, 2947, 1296, 543, 2899, 1256, 8719, 519, 6205, 593, 519, 14440, 693, 9995, 344, 779, 27227, 4860, 2526, 950, 17939, 2421, 2968, 2192, 269, 3571, 25786, 1983, 941, 15874, 676, 824, 6512, 3401, 849, 267, 543, 930, 1131, 2307, 1864, 547, 2097, 909, 609, 513, 5750, 1282, 19150, 998, 519, 11785, 1858, 269, 1280, 1383, 267, 8381, 344, 670, 9007, 1572, 2390, 6754, 547, 2328, 606, 11460, 585, 513, 21462, 1297, 585, 519, 6512, 779, 5920, 693, 519, 681, 298, 302, 26308, 538, 11785, 269, 6270, 1603, 3255, 941, 1455, 585, 6754, 609, 4032, 5178, 773, 543, 23193, 601, 8621, 17980, 607, 1134, 267, 3226, 1282, 519, 3735, 476, 3422, 271, 338, 543, 476, 3192, 271, 338, 269, 6754, 16340, 333, 1314, 849, 5340, 593, 14440, 543, 3006, 556, 2644, 538, 2199, 13164, 3366, 676, 25041, 2678, 18148, 834, 289, 13831, 257, 12253, 338, 267, 8751, 17394, 267, 1094, 343, 2684, 517, 626, 15608, 31473, 267, 543, 1866, 269, 3571, 1378, 1507, 2516, 616, 1634, 585, 1312, 7574, 2298, 543, 15325, 269, 1280, 827, 476, 1428, 1296, 538, 519, 476, 3422, 271, 338, 543, 476, 3192, 271, 338, 646, 3366, 513, 2468, 334, 1765, 10623, 520, 1005, 18369, 626, 16422, 21622, 968, 2419, 2086, 892, 13643, 543, 14941, 1067, 25414, 7203, 14269, 1765, 21406, 519, 6754, 19598, 10222, 334, 269, 2334, 2468, 334, 729, 835, 540, 519, 2063, 15690, 2516, 593, 12353, 2199, 8613, 950, 621, 5340, 1063, 4901, 12415, 593, 513, 1397, 1071, 3620, 739, 539, 538, 519, 476, 3422, 271, 338, 676, 11870, 26637, 593, 654, 20302, 289, 6874, 309, 269, 769, 5412, 476, 1220, 278, 646, 543, 8834, 918, 2632, 3234, 553, 6192, 513, 1796, 540, 811, 982, 19939, 1296, 540, 11728, 17334, 693, 18409, 21129, 2583, 538, 14181, 12064, 269, 1261, 543, 8834, 4797, 519, 2245, 1169, 3018, 4730, 693, 519, 2920, 517, 27227, 595, 2378, 2946, 2394, 602, 28379, 6806, 538, 476, 1001, 275, 269, 6754, 267, 1010, 2828, 267, 543, 16254, 2813, 519, 11875, 770, 710, 16340, 333, 1314, 18623, 1222, 13815, 547, 948, 2575, 1053, 543, 607, 513, 18189, 547, 6754, 779, 3993, 269, 4595, 476, 2735, 278, 267, 538, 1840, 547, 513, 3099, 540, 6666, 543, 2575, 3937, 13344, 267, 19421, 540, 1269, 4335, 14172, 17758, 723, 1044, 2016, 547, 17029, 663, 15917, 525, 3427, 540, 8535, 1053, 1063, 519, 6502, 540, 476, 1724, 543, 476, 866, 269, 1280, 1344, 593, 875, 547, 948, 519, 14172, 2508, 267, 6494, 606, 4757, 547, 23781, 303, 289, 287, 320, 565, 2593, 563, 27144, 968, 7692, 892, 15588, 1889, 9807, 267, 4535, 593, 5412, 476, 866, 267, 476, 4572, 280, 267, 729, 513, 11896, 512, 668, 2548, 626, 267, 2855, 9734, 267, 543, 32058, 626, 269, 3571, 960, 593, 11896, 512, 668, 14752, 5828, 513, 2603, 540, 9843, 267, 1101, 538, 606, 26254, 3366, 676, 15168, 787, 631, 1638, 10247, 538, 519, 4571, 268, 4198, 271, 338, 543, 1287, 607, 1071, 6122, 14575, 630, 5976, 18412, 6833, 787, 264, 540, 835, 540, 519, 1034, 15197, 15690, 2036, 657, 540, 519, 476, 3422, 271, 338, 269, 2060, 942, 646, 6591, 513, 10639, 607, 513, 15690, 2855, 9734, 267, 1034, 16113, 585, 519, 13164, 540, 774, 611, 13643, 543, 9253, 11066, 269, 1261, 729, 519, 2575, 8689, 540, 519, 3803, 1651, 28271, 540, 519, 9253, 11066, 17020, 269, 1261, 6766, 1082, 19920, 4974, 15690, 538, 11785, 269, 7585, 15588, 1889, 9807, 729, 513, 15197, 4759, 540, 519, 1715, 4789, 20271, 2218, 12200, 689, 476, 1960, 278, 547, 476, 1220, 278, 269, 1261, 5747, 593, 5412, 476, 1428, 267, 476, 1001, 273, 563, 305, 19563, 31293, 2221, 568, 607, 1134, 1634, 607, 513, 5856, 540, 8464, 585, 16340, 3118, 7574, 338, 543, 8874, 607, 646, 568, 585, 1010, 24077, 960, 607, 513, 15690, 32058, 626, 267, 6512, 6205, 267, 543, 2855, 9734, 269, 634, 13053, 5065, 267, 945, 5747, 538, 476, 1220, 272, 693, 2085, 476, 8064, 267, 6594, 693, 519, 1715, 4789, 20271, 2218, 1247, 2713, 693, 519, 1753, 540, 519, 26450, 665, 857, 779, 267, 3237, 540, 25845, 31722, 543, 19162, 7603, 4958, 269, 9524, 1734, 609, 7603, 4958, 538, 11785, 543, 1715, 3840, 8507, 538, 31293, 685, 1847, 547, 1715, 3840, 543, 588, 6493, 609, 24898, 4446, 6339, 267, 9291, 20831, 267, 24898, 20764, 3120, 267, 4414, 7439, 17383, 543, 1866, 269, 1261, 1185, 1010, 6574, 15690, 1967, 607, 513, 32058, 626, 543, 21917, 270, 1551, 9734, 585, 519, 8381, 344, 670, 9007, 17020, 269, 7324, 519, 12125, 646, 5206, 585, 670, 9007, 616, 968, 11764, 1067, 25627, 892, 630, 14310, 532, 538, 968, 15900, 4201, 4379, 25257, 968, 289, 6359, 537, 2223, 968, 295, 1952, 1465, 568, 3807, 513, 774, 532, 595, 6817, 15608, 892, 630, 10623, 520, 1005, 25845, 31722, 1070, 968, 7343, 548, 26006, 2223, 968, 299, 8014, 17755, 578, 534, 779, 14134, 2223, 543, 968, 305, 4257, 1328, 538, 8381, 1848, 6969, 13197, 543, 8011, 532, 538, 513, 4876, 607, 513, 5856, 270, 1551, 9734, 585, 2982, 543, 8874, 630, 5472, 2334, 27227, 267, 12124, 21582, 24742, 267, 9628, 267, 16410, 15756, 267, 543, 19421, 540, 1866, 1070 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4070, 2872, 2488, 1898, 5989, 543, 8027, 585, 2950, 1472, 519, 1158, 269, 2290, 2565, 2460, 540, 519, 4070, 2872, 568, 519, 946, 540, 3154, 585, 1585, 3156, 267, 971, 607, 8022, 267, 13841, 267, 543, 1379, 532, 4070, 3937, 1107, 543, 607, 596, 1223, 4440, 7058, 267, 649, 616, 10583, 7426, 540, 519, 9362, 602, 789, 946, 1142, 543, 1169, 1554, 269, 3371, 568, 930, 811, 5813, 543, 938, 5700, 1692, 593, 875, 3154, 568, 1373, 2322, 547, 946, 912, 268, 23556, 585, 14716, 16811, 454, 17746, 2315, 3937, 971, 607, 4439, 671, 9926, 619, 267, 14155, 2209, 267, 1835, 6951, 267, 543, 585, 9383, 22284, 2154, 4492, 547, 7500, 269, 1284, 1404, 513, 1713, 1909, 538, 3246, 4492, 585, 891, 6191, 269, 13937, 13238, 543, 17088, 616, 519, 1034, 1455, 10173, 1031, 538, 4070, 3937, 269, 1717, 267, 5063, 267, 1082, 4070, 4609, 723, 1044, 15175, 547, 4412, 2033, 267, 2067, 3154, 267, 610, 7686, 19342, 267, 799, 616, 811, 13476, 7874, 543, 1942, 15807, 269, 13937, 3549, 899, 683, 343, 21080, 1683, 891, 4244, 10173, 547, 4070, 3549, 267, 4227, 741, 3327, 11640, 543, 5665, 3790, 563, 268, 1261, 908, 543, 15346, 532, 454, 6624, 4070, 4609, 2154, 8022, 543, 9023, 1949, 585, 4600, 547, 7500, 20354, 269, 13937, 3549, 899, 721, 1404, 513, 2565, 1909, 538, 3246, 4412, 2033, 547, 1379, 891, 1949, 269, 11330, 2033, 568, 606, 3608, 543, 1942, 15807, 4492, 602, 666, 3002, 1804, 5624, 3533, 269, 898, 568, 849, 513, 2973, 1532, 9506, 4492, 602, 7472, 7864, 5434, 982, 824, 8093, 10173, 563, 268, 21969, 3429, 543, 28981, 454, 310, 601, 3429, 543, 5969, 616, 1898, 3157, 538, 519, 4070, 2872, 269, 1358, 2154, 1164, 5210, 543, 7463, 3937, 547, 6443, 610, 2759, 4496, 2326, 269, 2311, 683, 343, 21080, 267, 649, 1683, 13841, 543, 5969, 9362, 971, 607, 5135, 267, 1035, 25485, 2940, 267, 543, 2415, 517, 269, 1452, 9362, 616, 1898, 585, 13841, 543, 5969, 3157, 267, 543, 1510, 873, 267, 4070, 4600, 1131, 711, 581, 2111, 547, 2347, 741, 4247, 563, 268, 570, 3637, 13937, 6796, 454, 17746, 2315, 4609, 1419, 2154, 10151, 3154, 3028, 547, 1379, 741, 3937, 543, 1683, 8022, 543, 9023, 1949, 269, 1284, 616, 6126, 547, 1683, 10151, 3154, 2533, 585, 4070, 4609, 267, 4180, 602, 789, 723, 519, 4492, 543, 1648, 789, 991, 547, 7500, 7561, 269, 570, 3637, 3154, 3028, 949, 1331, 16459, 543, 4509, 10151, 3154, 3515, 543, 3246, 4412, 2033, 547, 1379, 4070, 3937, 543, 8022, 543, 9023, 1949, 563, 4322, 616, 1175, 513, 1906, 540, 519, 1082, 2081, 602, 3154, 3549, 267, 899, 683, 343, 21080, 267, 666, 1404, 513, 4105, 1909, 538, 519, 4070, 2872, 269, 9453, 891, 1898, 2533, 267, 4070, 3549, 1131, 711, 581, 2111, 547, 7500, 7561, 543, 2347, 741, 3785, 593, 942, 269, 2311, 683, 343, 21080, 267, 649, 711, 1152, 3761, 20614, 4070, 9362, 267, 855, 649, 3761, 938, 4070, 5561, 609, 513, 5812, 267, 1164, 7779, 3761, 540, 9362, 267, 3937, 267, 2533, 543, 5700, 1692, 1169, 1900, 540, 519, 1259, 269, 1403, 972, 616, 1022, 23665, 267, 2152, 610, 2055, 267, 938, 2319, 786, 581, 972, 547, 8897, 707, 2247, 543, 8207, 519, 1966, 269, 634, 6075, 779, 1967, 568, 938, 1283, 10862, 1107, 543, 1927, 267, 649, 666, 1280, 613, 28644, 269, 7490, 3914, 856, 547, 721, 952, 596, 616, 5461, 538, 3478, 3323, 609, 513, 3154, 3028, 2221, 2336, 19185, 856, 585, 707, 2104, 454, 7476, 707, 4876, 2469, 593, 519, 1318, 3950, 609, 683, 343, 21080, 454, 26581, 787, 11310, 543, 16869, 1047, 454, 8340, 856, 875, 683, 343, 21080, 5700, 1692, 814, 12936, 4213, 782, 936, 519, 14913, 454, 10811, 21080, 538, 519, 3377, 454, 5978, 6791, 2306, 721, 811, 982, 513, 3407, 7649, 267, 621, 2306, 721, 24657, 454, 10811, 21080, 568, 2141, 1930, 2336, 10673, 1405, 1294, 1018, 596, 2811, 3168, 585, 888, 31819, 649, 2709, 568, 513, 4945, 2476, 543, 621, 786, 12446, 1354, 596, 917, 621, 269, 0, 300, 25514, 568, 606, 1898, 5042, 1599, 602, 2337, 721, 4558, 543, 23074, 1344, 269, 1284, 7048, 593, 938, 3965, 1169, 1554, 267, 2436, 621, 568, 547, 3314, 1271, 7389, 267, 1451, 1007, 1983, 267, 610, 11291, 5013, 585, 606, 981, 269, 1717, 267, 711, 3025, 814, 513, 2067, 13007, 585, 8357, 1436, 269, 24664, 1176, 267, 972, 616, 1082, 2994, 602, 666, 948, 2087, 707, 3965, 269, 769, 713, 2376, 267, 649, 786, 1865, 476, 1015, 2500, 2994, 547, 3986, 707, 8357, 1436, 1983, 269, 3958, 267, 649, 786, 849, 2911, 827, 875, 596, 666, 1205, 2228, 1362, 948, 543, 946, 8316, 7719, 4804, 12226, 547, 2087, 707, 4081, 2773, 563, 16391, 1125, 519, 1344, 454, 16391, 1944, 1344, 568, 606, 2500, 1259, 547, 3986, 3965, 269, 1879, 1344, 568, 6896, 267, 621, 568, 4443, 547, 23074, 543, 11291, 269, 2290, 1259, 547, 798, 713, 568, 547, 1895, 1644, 1344, 1927, 269, 1280, 3236, 267, 952, 596, 991, 547, 27655, 513, 1592, 540, 6863, 1913, 267, 596, 666, 1895, 873, 676, 741, 851, 540, 4633, 610, 676, 741, 2495, 563, 3725, 701, 520, 519, 1344, 454, 11847, 564, 819, 568, 513, 3532, 1907, 585, 8357, 1436, 269, 15901, 908, 1344, 1896, 2053, 666, 948, 596, 3314, 621, 811, 3362, 269, 1411, 666, 10956, 519, 1344, 16965, 610, 2328, 621, 1524, 1896, 2053, 547, 12927, 621, 538, 707, 3965, 563, 8620, 2790, 2592, 454, 17730, 2790, 2592, 568, 606, 2500, 1259, 547, 27655, 1344, 269, 1879, 596, 1711, 513, 2790, 3239, 267, 596, 616, 1997, 908, 519, 1344, 609, 1945, 602, 568, 4443, 547, 3314, 269, 1280, 3236, 267, 952, 596, 991, 547, 3314, 519, 1931, 540, 519, 10785, 538, 938, 3859, 1062, 267, 596, 666, 1711, 513, 2790, 3239, 540, 513, 6952, 344, 4845, 267, 971, 607, 968, 7069, 1360, 11235, 3993, 1175, 6039, 721, 8370, 533, 11170, 553, 3034, 8196, 544, 26937, 4577, 3457, 454, 300, 26937, 4577, 3457, 616, 3965, 11226, 602, 948, 596, 3314, 1344, 269, 1358, 666, 581, 22214, 344, 916, 267, 30053, 267, 610, 824, 3965, 11226, 269, 1280, 1383, 267, 547, 3314, 519, 1931, 540, 519, 4778, 538, 513, 22774, 267, 596, 666, 946, 519, 27099, 21614, 312, 16412, 4353, 630, 1042, 267, 10538, 267, 5835, 267, 3039, 267, 4544, 267, 967, 15282, 267, 642, 14489, 1916, 8196, 14839, 2553, 454, 24058, 1436, 2553, 666, 948, 596, 3314, 1344, 811, 3362, 269, 1879, 596, 14650, 1945, 267, 596, 616, 2870, 513, 2790, 3239, 602, 568, 4443, 547, 3314, 269, 1280, 1383, 267, 952, 596, 991, 547, 3314, 513, 1592, 540, 3688, 267, 596, 666, 14650, 1142, 6221, 538, 707, 2247, 563, 303, 847, 6005, 11291, 568, 606, 2500, 1259, 547, 2087, 707, 3965, 269, 5502, 540, 3274, 2542, 610, 4974, 519, 1344, 267, 2119, 547, 11291, 621, 689, 3965, 269, 901, 786, 948, 596, 7794, 707, 3965, 543, 1118, 621, 4443, 547, 3314, 519, 1344, 2663, 563, 14503, 1662, 11568, 616, 606, 2500, 1907, 585, 8357, 1436, 269, 1358, 1450, 596, 547, 2259, 11291, 543, 17279, 538, 513, 11295, 543, 6896, 1259, 269, 1411, 666, 1711, 15460, 585, 1022, 1826, 540, 1344, 267, 971, 607, 6863, 1913, 267, 2979, 12596, 267, 610, 3140, 7389, 563, 7476, 2614, 3207, 454, 21093, 2614, 3207, 568, 2629, 585, 3965, 28051, 269, 1879, 596, 3207, 267, 707, 2634, 3157, 543, 19597, 919, 519, 1344, 596, 4121, 1282, 519, 1554, 269, 13667, 585, 693, 2547, 476, 278, 268, 279, 3108, 540, 3207, 1142, 3781, 547, 2327, 707, 2634, 814, 2614, 942, 547, 1184, 543, 4558, 519, 1344, 563, 19865, 568, 711, 1152, 1434, 585, 707, 2168, 1072, 855, 849, 585, 707, 2790, 1072, 269, 8617, 3635, 814, 1044, 3254, 547, 2087, 3965, 543, 5042, 1599, 269, 13667, 585, 693, 2547, 476, 1789, 3764, 540, 9793, 3635, 1142, 1554, 547, 2087, 707, 3965, 563, 29590, 666, 723, 513, 2942, 1764, 593, 707, 3965, 269, 1879, 596, 616, 14129, 267, 707, 2634, 7472, 23280, 267, 799, 666, 15936, 609, 3965, 28051, 269, 4855, 2081, 547, 2569, 2566, 267, 971, 607, 8026, 11009, 267, 10649, 267, 610, 9066, 563, 1103, 1840, 547, 891, 2994, 267, 2228, 1362, 948, 543, 8316, 7719, 4804, 12226, 666, 849, 581, 3730, 2645, 547, 2087, 707, 4081, 2773, 269, 6732, 1362, 948, 2488, 1053, 609, 3318, 6351, 609, 741, 17440, 269, 901, 666, 581, 3226, 5363, 585, 1053, 945, 616, 10010, 609, 513, 1880, 1641, 610, 945, 616, 5104, 31227, 2789, 9021, 269, 2060, 2228, 1362, 948, 267, 1053, 666, 563, 9827, 267, 3367, 2859, 6168, 281, 11790, 1677, 6333, 1879, 19805, 634, 7454, 3213, 2286, 1280, 772, 28903, 0, 15862, 15894, 281, 15011, 3139, 715, 2129, 817, 328, 3842, 24296, 680, 1662, 454, 2026, 649, 1205, 4587, 267, 621, 779, 1152, 2067, 547, 1376, 711, 6005, 2168, 2242, 538, 938, 4703, 602, 3274, 4769, 1406, 4755, 1354, 269, 2334, 3085, 1406, 1611, 267, 2705, 267, 602, 649, 723, 547, 7017, 585, 519, 1259, 1919, 616, 1765, 933, 666, 2141, 798, 1945, 827, 621, 256, 3371, 616, 476, 1015, 2067, 2081, 547, 3251, 1762, 267, 689, 4189, 1732, 547, 4227, 2566, 543, 811, 563, 272, 269, 12532, 476, 1015, 267, 1822, 17778, 513, 4303, 454, 6097, 547, 5680, 13270, 267, 6972, 814, 513, 9522, 540, 1072, 2640, 269, 18130, 2358, 5781, 666, 948, 596, 6336, 2597, 267, 1628, 4887, 543, 2539, 707, 1981, 585, 1082, 1455, 3676, 899, 2295, 2068, 267, 1164, 1973, 2604, 267, 543, 1826, 476, 273, 3987, 269, 1403, 596, 2461, 936, 476, 2412, 610, 723, 513, 5312, 4576, 267, 2638, 609, 707, 4387, 1354, 596, 2253, 606, 3635, 1982, 269, 1280, 2635, 4079, 267, 2119, 6972, 476, 1015, 267, 1822, 3268, 513, 1554, 2443, 602, 779, 827, 2947, 5195, 630, 279, 5998, 264, 540, 1490, 7416, 6972, 2443, 607, 851, 540, 707, 2949, 8516, 1544, 563, 273, 269, 16202, 476, 276, 29759, 543, 29641, 5272, 4303, 454, 309, 527, 7530, 267, 6886, 267, 543, 6775, 616, 4105, 585, 707, 1279, 3856, 1072, 267, 855, 789, 2461, 849, 1271, 585, 6107, 6888, 269, 2334, 779, 1317, 607, 596, 2085, 267, 707, 1560, 814, 513, 9875, 942, 21716, 5567, 689, 1426, 543, 4509, 2635, 2281, 269, 589, 2732, 3638, 538, 5613, 543, 5388, 666, 948, 1832, 596, 32249, 676, 2810, 707, 3232, 6981, 540, 8324, 267, 6886, 543, 6775, 1247, 3246, 1898, 14434, 602, 948, 9243, 1125, 1863, 18119, 9789, 3983, 6675, 602, 666, 3441, 2635, 2281, 269, 15775, 2614, 6171, 595, 568, 2523, 1271, 269, 8899, 2157, 540, 6171, 595, 723, 1044, 5532, 547, 32060, 267, 4617, 2960, 20018, 267, 543, 14887, 10138, 7067, 269, 5901, 3054, 1762, 676, 4189, 2947, 32122, 540, 5613, 610, 5388, 1169, 1554, 563, 274, 269, 13772, 4934, 585, 1133, 11794, 16639, 454, 2691, 596, 2461, 3843, 547, 6336, 2597, 267, 835, 540, 707, 3853, 568, 2693, 547, 3548, 8902, 269, 1635, 14874, 607, 1082, 14432, 3536, 689, 707, 2732, 607, 2009, 267, 596, 2569, 875, 1454, 596, 8532, 543, 2087, 707, 1072, 2949, 269, 2755, 1978, 3536, 5749, 1406, 2141, 20244, 14432, 630, 3369, 1961, 9274, 543, 10709, 5946, 267, 585, 1383, 1070, 538, 4430, 789, 666, 723, 513, 2942, 1764, 593, 707, 1560, 269, 1879, 621, 2501, 1524, 547, 621, 267, 621, 779, 827, 3666, 32503, 1616, 547, 8532, 2614, 8477, 543, 5567, 865, 602, 596, 3251, 2635, 855, 711, 865, 1454, 602, 4896, 779, 1426, 7475, 909, 1373, 17672, 547, 707, 1072, 269, 1403, 9268, 610, 6382, 1447, 31032, 268, 728, 531, 3536, 1118, 909, 1034, 540, 1018, 596, 3548, 267, 2015, 5969, 1394, 610, 556, 628, 9722, 707, 2732, 563, 275, 269, 8347, 3600, 17815, 454, 3086, 12997, 267, 811, 543, 811, 1004, 616, 7432, 547, 11455, 5574, 585, 7067, 269, 3600, 17815, 568, 3395, 538, 8560, 782, 936, 3345, 3013, 267, 2342, 267, 5607, 267, 543, 5245, 269, 4706, 7145, 814, 1044, 8810, 942, 543, 1586, 281, 22591, 666, 948, 609, 2566, 267, 10038, 30181, 543, 13468, 1928, 269, 9578, 972, 779, 1100, 1981, 540, 2942, 2427, 2360, 630, 528, 1928, 1040, 9282, 7189, 949, 581, 26617, 827, 22591, 693, 1101, 267, 789, 2461, 4742, 5051, 1930, 16490, 607, 1382, 5170, 269, 769, 1249, 267, 513, 476, 1001, 274, 5619, 540, 476, 272, 267, 6110, 7189, 4951, 602, 476, 10695, 2600, 1589, 621, 1058, 581, 4988, 676, 6142, 3549, 256, 1924, 952, 596, 1616, 513, 32249, 5920 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 13690, 1631, 2729, 538, 513, 4993, 2699, 6229, 4104, 269, 1411, 666, 1246, 1200, 593, 12108, 7711, 330, 574, 323, 327, 1157, 758, 269, 0, 300, 7559, 327, 779, 19463, 851, 540, 519, 9702, 4005, 568, 519, 11606, 540, 6952, 344, 8285, 8964, 269, 5272, 1554, 267, 3057, 11672, 779, 3158, 3947, 1200, 513, 11878, 547, 1153, 543, 3057, 11672, 12134, 1200, 547, 2322, 593, 513, 5152, 602, 568, 12758, 538, 1200, 2212, 269, 1717, 267, 3057, 11672, 1281, 711, 917, 519, 4408, 540, 1082, 540, 519, 8964, 602, 1352, 521, 902, 267, 865, 1352, 521, 902, 1200, 3158, 851, 540, 519, 5152, 543, 13922, 602, 1200, 3158, 17767, 621, 563, 300, 7559, 327, 1281, 711, 917, 782, 519, 18405, 547, 519, 8964, 1352, 521, 902, 267, 865, 1352, 30283, 930, 540, 519, 1913, 609, 1913, 9967, 540, 519, 5569, 2048, 3534, 685, 7368, 1022, 1297, 540, 2053, 563, 300, 7559, 327, 779, 3158, 6487, 519, 10643, 543, 18405, 540, 1169, 8285, 5152, 543, 1352, 814, 513, 1434, 7058, 540, 799, 5152, 3057, 11672, 568, 3206, 540, 269, 1677, 13182, 1200, 7058, 267, 1352, 8910, 899, 547, 917, 952, 519, 1913, 602, 3057, 11672, 31025, 6474, 930, 733, 27631, 6102, 775, 540, 519, 18405, 540, 519, 5152, 269, 2052, 596, 948, 1200, 13182, 1200, 7058, 888, 763, 1101, 1899, 540, 3403, 3568, 606, 8870, 1422, 263, 291, 315, 264, 1422, 9230, 272, 1422, 548, 667, 1422, 548, 476, 1015, 9385, 1070, 519, 1297, 540, 2395, 538, 519, 9702, 4005, 563, 2690, 1142, 540, 519, 2395, 267, 519, 3403, 3568, 2185, 3515, 538, 519, 1739, 3898, 912, 2304, 8870, 1422, 263, 301, 315, 264, 1422, 9230, 272, 1422, 548, 715, 1422, 548, 476, 4335, 9385, 1070, 519, 1297, 540, 1913, 538, 519, 5152, 3057, 11672, 781, 3158, 14659, 3057, 11672, 568, 3206, 540, 563, 315, 263, 301, 315, 264, 2230, 5498, 1706, 730, 267, 27608, 12673, 1422, 263, 306, 318, 272, 267, 590, 318, 273, 267, 1422, 24126, 267, 590, 318, 301, 315, 1070, 519, 18405, 540, 519, 5152, 563, 2304, 8870, 1422, 263, 300, 315, 264, 1422, 9230, 272, 1422, 548, 631, 1422, 548, 476, 1015, 9385, 1070, 519, 1297, 540, 1913, 602, 3057, 11672, 31025, 563, 315, 263, 300, 315, 264, 2230, 5498, 1706, 730, 267, 27608, 12673, 1422, 263, 307, 318, 272, 267, 570, 318, 273, 267, 1422, 24126, 267, 570, 318, 301, 315, 1070, 519, 1913, 602, 3057, 11672, 31025, 563, 2005, 568, 16798, 602, 1422, 263, 272, 1422, 548, 1923, 306, 10983, 347, 1422, 548, 476, 736, 267, 476, 272, 1422, 548, 1923, 307, 10983, 347, 1422, 548, 476, 736, 315, 1916, 2690, 1142, 1554, 267, 3977, 454, 8133, 952, 1018, 3057, 11672, 31025, 1223, 581, 513, 851, 540, 519, 5152, 18405, 267, 610, 454, 273, 476, 1321, 1118, 1250, 6999, 2097, 3020, 782, 1775, 1616, 585, 28581, 568, 596, 476, 278, 14255, 14255, 14255, 585, 28581, 568, 596, 476, 279, 795, 17532, 30518, 795, 17532, 30518, 795, 17532, 782, 519, 1259, 476, 278, 562, 3570, 30518, 562, 3570, 782, 519, 1259, 25708, 0, 25648, 1606, 29022, 22732, 11242, 585, 15706, 609, 25833, 24894, 454, 272, 269, 979, 593, 610, 1055, 950, 519, 5835, 6467, 568, 20399, 454, 273, 269, 519, 3457, 3251, 593, 607, 1279, 607, 519, 6467, 568, 20399, 610, 454, 274, 269, 513, 22245, 568, 1305, 865, 602, 621, 13978, 593, 1310, 20399, 585, 513, 2824, 2179, 540, 942, 607, 3254, 538, 519, 3381, 563, 763, 7218, 538, 519, 3381, 616, 11981, 519, 968, 322, 1021, 543, 1198, 892, 2078, 540, 10296, 519, 6467, 547, 19334, 3457, 269, 594, 1589, 602, 789, 5660, 519, 1852, 789, 723, 547, 1118, 519, 17689, 543, 2527, 4526, 979, 593, 8164, 789, 1616, 269, 634, 10444, 543, 3209, 1399, 3344, 540, 713, 1305, 5346, 6157, 1118, 8258, 588, 2931, 543, 24450, 4247, 811, 2502, 269, 18564, 519, 1804, 14034, 593, 519, 3349, 602, 666, 581, 5116, 936, 519, 17689, 563, 1607, 2534, 666, 581, 9862, 547, 5000, 3635, 676, 11093, 519, 2326, 630, 324, 3052, 269, 14034, 610, 21167, 11435, 264, 593, 519, 6989, 610, 2066, 519, 4055, 865, 602, 6972, 543, 3001, 909, 543, 1524, 616, 2838, 269, 634, 1762, 14799, 9361, 693, 519, 3349, 14560, 519, 10444, 3457, 630, 2784, 1470, 267, 17689, 267, 10178, 543, 2527, 4526, 264, 865, 594, 4126, 602, 594, 666, 946, 873, 547, 18663, 1200, 547, 1205, 856, 540, 1200, 10160, 543, 1847, 256, 0, 268, 1548, 568, 3017, 1063, 5033, 7469, 648, 543, 513, 3838, 3965, 15017, 268, 666, 594, 946, 5033, 7469, 2803, 1063, 1079, 1114, 3157, 610, 621, 1590, 581, 1031, 1152, 538, 16060, 540, 513, 1482, 1184, 15017, 8133, 267, 596, 666, 946, 5033, 7469, 648, 1063, 1079, 1114, 3157, 454, 16521, 513, 2012, 585, 707, 5033, 7469, 648, 454, 258, 3698, 710, 590, 2793, 10933, 834, 270, 3240, 9895, 4840, 8196, 5033, 318, 13449, 609, 744, 318, 290, 3918, 2969, 538, 519, 1184, 602, 5932, 873, 454, 9895, 4671, 2608, 9895, 815, 5033, 318, 13449, 22829, 2793, 10933, 267, 744, 318, 290, 3918, 2969, 267, 476, 271, 5038, 275, 267, 476, 274, 5148, 1315, 265, 19461, 1871, 568, 476, 274, 269, 2608, 13045, 15411, 5033, 7469, 2803, 538, 519, 824, 3157, 454, 9895, 4671, 2608, 9895, 815, 5033, 318, 13449, 22829, 4932, 318, 2793, 10933, 267, 476, 271, 5148, 1315, 265, 7046, 513, 840, 1410, 12371, 5033, 7469, 648, 269, 2608, 13045, 763, 5033, 7469, 648, 568, 513, 1062, 585, 15222, 1436, 476, 273, 610, 7132, 1184, 547, 1569, 513, 3838, 4199, 563, 763, 3838, 3965, 568, 513, 1062, 585, 4687, 513, 4062, 540, 3965, 1063, 476, 273, 522, 7132, 1184, 267, 593, 519, 3838, 3965, 568, 2009, 2328, 610, 1224, 1239, 547, 543, 689, 513, 1184, 563, 2690, 1383, 609, 513, 5033, 7469, 648, 568, 2009, 547, 4383, 519, 1569, 547, 3838, 3965, 585, 2057, 519, 1224, 522, 2328, 1875, 15222, 1242, 689, 476, 273, 1184, 269, 0, 9824, 16406, 5348, 4038, 1143, 267, 519, 12760, 540, 3309, 3909, 4978, 543, 2853, 269, 2382, 1734, 540, 3909, 5348, 4038, 1143, 32737, 267, 585, 1383, 267, 717, 333, 739, 6291, 630, 320, 3909, 12242, 2065, 1062, 602, 11368, 2609, 689, 519, 31970, 9814, 10764, 1070, 17194, 267, 8567, 267, 543, 5259, 3909, 10952, 2035, 1765, 26200, 3226, 11342, 1282, 519, 18774, 523, 2065, 1974, 630, 322, 269, 476, 4968, 536, 576, 1107, 322, 269, 476, 4968, 2781, 1916, 24292, 5348, 4038, 1143, 4386, 782, 936, 519, 1158, 267, 855, 649, 3513, 1376, 609, 513, 1906, 1806, 689, 2342, 269, 2913, 781, 1413, 693, 7507, 267, 835, 540, 519, 6574, 7060, 540, 519, 3504, 1158, 563, 26239, 4038, 1143, 630, 270, 476, 16659, 521, 476, 22688, 15662, 489, 737, 678, 476, 16745, 512, 476, 22688, 1990, 476, 16745, 332, 1315, 264, 568, 519, 9256, 540, 1114, 4978, 267, 1247, 16471, 2853, 540, 1585, 3506, 540, 2219, 2529, 2106, 4038, 1143, 3322, 519, 26399, 610, 21939, 540, 1896, 8385, 15768, 5389, 267, 2523, 538, 519, 18381, 543, 13299, 540, 4984, 267, 3976, 7682, 532, 606, 5817, 9322, 543, 3850, 585, 606, 8537, 1935, 547, 824, 5132, 338, 563, 26239, 4038, 1143, 568, 12880, 950, 621, 2501, 547, 4984, 267, 2528, 267, 543, 6214, 269, 898, 781, 513, 1134, 8153, 1249, 602, 1034, 540, 519, 2413, 10764, 723, 7960, 689, 1585, 606, 857, 757, 4978, 269, 23893, 568, 519, 2013, 950, 621, 2501, 547, 2528, 543, 6214, 269, 2913, 781, 723, 513, 1413, 693, 930, 1806, 540, 5348, 4038, 1143, 538, 519, 2796, 540, 1142, 540, 891, 21384, 540, 1272, 563, 1432, 616, 930, 1434, 1806, 540, 14271, 4038, 1143, 16310, 4984, 286, 8729, 585, 519, 589, 273, 288, 269, 14271, 4038, 1143, 1797, 519, 9256, 540, 1079, 4529, 267, 610, 1079, 3661, 1949, 267, 610, 1079, 3506, 540, 2219, 267, 883, 513, 1007, 835, 269, 8786, 267, 621, 568, 1034, 4122, 513, 1523, 538, 1353, 540, 2538, 328, 2483, 292, 2120, 568, 606, 1383, 540, 3909, 5348, 4038, 1143, 1107, 519, 16471, 540, 1114, 3909, 269, 14914, 729, 3957, 1310, 606, 3504, 27272, 25384, 12680, 15831, 269, 16241, 5348, 4038, 1143, 568, 4440, 519, 1034, 14437, 827, 2186, 540, 5348, 4038, 1143, 267, 855, 596, 666, 849, 2911, 827, 2686, 267, 2797, 267, 7574, 267, 10409, 267, 11477, 267, 610, 824, 12204, 540, 5348, 4038, 1143, 563, 306, 312, 10998, 3918, 2316, 15551, 269, 14271, 4038, 1143, 9789, 1184, 17929, 1079, 610, 811, 4830, 2686, 1949, 267, 610, 2609, 23476, 267, 8580, 7765, 547, 1106, 513, 1007, 543, 3982, 1062, 28934, 1851, 519, 1034, 1271, 2188, 538, 519, 4720, 540, 2528, 538, 2489, 267, 855, 2523, 538, 519, 1686, 540, 4984, 563, 288, 3140, 1383, 540, 2686, 5348, 4038, 1143, 568, 519, 1259, 8567, 11368, 1082, 540, 519, 7389, 543, 12738, 519, 25384, 10764, 4168, 28773, 11402, 269, 20616, 1143, 568, 513, 2942, 1383, 540, 2686, 5348, 4038, 1143, 269, 27639, 602, 20586, 2933, 676, 12145, 16080, 11107, 543, 9013, 2923, 19093, 616, 811, 11259, 547, 2686, 4429, 26239, 4038, 1143, 568, 849, 513, 2262, 1031, 585, 26399, 1114, 1102, 3005, 2262, 3029, 267, 865, 602, 513, 2262, 666, 4196, 811, 982, 835, 1599, 269, 6201, 538, 2296, 616, 596, 267, 799, 666, 581, 606, 1843, 610, 513, 1641, 267, 610, 4620, 267, 799, 568, 519, 1482, 538, 519, 2250, 543, 1459, 13029, 563, 26239, 4038, 1143, 568, 519, 5250, 540, 1007, 3909, 2093, 689, 2789, 3982, 2959, 267, 1419, 30137, 2959, 269, 2353, 10764, 630, 553, 1134, 607, 24866, 267, 1949, 540, 7881, 267, 2686, 8155, 267, 3092, 4700, 4865, 930, 1377, 540, 5348, 4038, 1143, 1317, 2093, 798, 711, 2291, 538, 513, 12511, 269, 0, 4692, 835, 1268, 1118, 513, 3017, 286, 26290, 2940, 12722, 14560, 13836, 269, 4825, 1600, 689, 513, 10715, 6170, 538, 519, 3014, 267, 26290, 2940, 882, 665, 919, 547, 9628, 543, 10741, 513, 1507, 8378, 17365, 4558, 269, 31072, 1010, 1394, 3774, 18795, 606, 2025, 267, 8920, 777, 573, 730, 3440, 14776, 602, 3984, 324, 454, 26877, 639, 269, 538, 2407, 2681, 609, 3109, 7146, 22554, 6337, 269, 834, 10870, 951, 711, 1152, 519, 1650, 540, 20484, 781, 23258, 543, 1010, 2042, 607, 519, 1101, 3109, 812, 547, 1404, 538, 519, 2101, 682, 8046, 267, 855, 849, 519, 1650, 540, 519, 4473, 543, 2887, 540, 3109, 13836, 543, 930, 540, 922, 5182, 5716, 543, 9946, 269, 715, 823, 569, 28110, 676, 6863, 267, 4845, 3259, 267, 543, 1820, 2450, 547, 519, 3119, 9344, 5304, 1701, 5889, 11366, 892, 31624, 2280, 514, 267, 4741, 585, 5753, 781, 7734, 563, 257, 12640, 342, 10590, 627, 626, 1194, 15608, 631, 20490, 267, 519, 22035, 7321, 593, 1010, 11487, 7458, 3068, 1373, 8612, 676, 1010, 14281, 608, 17474, 540, 281, 834, 11039, 267, 1018, 798, 596, 917, 827, 602, 267, 590, 529, 8119, 834, 1432, 568, 621, 267, 15608, 8119, 4280, 1010, 11078, 27262, 267, 607, 1352, 6743, 909, 689, 513, 4484, 1352, 729, 2542, 547, 1294, 1200, 7015, 31325, 693, 513, 6656, 540, 1957, 646, 1185, 1175, 32585, 689, 606, 23508, 267, 585, 519, 6640, 13875, 1185, 1044, 9447, 513, 1906, 3764, 1354, 269, 834, 1432, 568, 621, 8119, 519, 8004, 4682, 593, 267, 18413, 11735, 1200, 1378, 19359, 269, 834, 3674, 621, 4376, 3978, 268, 1415, 2251, 827, 4651, 781, 1870, 286, 5213, 1405, 2995, 803, 972, 568, 811, 8373, 267, 15608, 30882, 26015, 4252, 11370, 3960, 15080, 454, 26015, 4252, 11370, 3960, 7734, 0, 3528, 14977, 2401, 31489, 693, 4989, 476, 5400, 476, 1001, 280, 476, 1556, 281, 6812, 281, 2190, 454, 3086, 267, 607, 513, 5449, 4116, 594, 993, 711, 6031, 602, 835, 1058, 2760, 946, 2979, 3211, 282, 2705, 267, 594, 798, 3494, 602, 1082, 3610, 616, 1210, 513, 1360, 21603, 1505, 540, 6044, 602, 12346, 1932, 1454, 593, 1970, 318, 24038, 2979, 3211, 543, 3946, 318, 4752, 14292, 4485, 269, 8018, 4245, 1847, 689, 2542, 519, 8846, 16965, 267, 547, 3257, 3732, 2042, 607, 513, 1895, 267, 547, 11264, 519, 4976, 10446, 630, 528, 693, 1753, 609, 3237, 1070, 1554, 538, 543, 1554, 856, 269, 9752, 2115, 547, 581, 811, 982, 8429, 856, 3211, 269, 6787, 596, 616, 519, 4928, 4116, 267, 14292, 11285, 267, 610, 2385, 267, 519, 2409, 596, 946, 7494, 1764, 519, 1377, 540, 1620, 6913, 676, 707, 1053, 563, 763, 3211, 2933, 666, 1405, 2628, 318, 4752, 519, 7963, 267, 596 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 524, 19091, 540, 31040, 22031, 22807, 24295, 853, 1778, 589, 6795, 257, 630, 297, 22870, 1503, 1421, 476, 1220, 273, 994, 268, 2098, 7315, 15562, 1696, 620, 12727, 834, 306, 12678, 17336, 268, 273, 568, 1134, 9862, 585, 3425, 269, 1548, 1281, 713, 1611, 585, 556, 15041, 1120, 775, 8119, 630, 27807, 305, 643, 267, 476, 1708, 271, 994, 268, 1323, 517, 12727, 834, 17357, 517, 8785, 4437, 578, 324, 777, 517, 1107, 1215, 3624, 853, 1961, 27649, 3245, 4516, 1656, 1284, 777, 517, 1242, 898, 257, 630, 15124, 29228, 19328, 267, 5130, 476, 2918, 476, 1708, 271, 994, 268, 1323, 517, 12727, 834, 29445, 1773, 28026, 1107, 8225, 26831, 6206, 1677, 27649, 27148, 2667, 817, 3990, 769, 4000, 8119, 630, 15124, 29228, 19328, 267, 5988, 476, 277, 476, 1708, 271, 994, 268, 1323, 517, 12727, 834, 291, 1737, 569, 11452, 949, 711, 723, 12090, 538, 18961, 7315, 16872, 2344, 267, 4457, 3744, 2161, 257, 630, 21026, 3624, 27450, 5403, 267, 5988, 476, 2190, 476, 1708, 271, 267, 476, 272, 1295, 8094, 268, 1323, 517, 281, 834, 289, 597, 343, 1341, 4414, 7615, 700, 1221, 827, 7486, 28404, 281, 2052, 789, 581, 11967, 609, 5046, 24350, 268, 1323, 517, 12727, 834, 26244, 307, 294, 1724, 1107, 519, 26837, 4192, 2963, 602, 519, 18961, 7315, 11452, 568, 812, 13402, 257, 630, 301, 518, 323, 13201, 5295, 267, 2904, 476, 273, 476, 1708, 271, 994, 268, 476, 276, 294, 17607, 281, 834, 276, 294, 1315, 27649, 16684, 532, 476, 1556, 4989, 476, 1708, 271, 257, 630, 276, 294, 17607, 267, 4989, 476, 1556, 476, 1708, 271, 994, 763, 14959, 267, 9291, 27176, 267, 11192, 9107, 9517, 267, 5606, 19910, 17261, 5209, 267, 15510, 22159, 543, 4437, 578, 324, 777, 976, 454, 268, 1325, 21573, 4673, 808, 281, 834, 18693, 12771, 281, 2637, 13443, 5422, 1229, 11202, 11077, 257, 630, 24433, 293, 267, 476, 1001, 271, 994, 268, 1323, 517, 12727, 834, 289, 650, 27176, 13669, 802, 6168, 17261, 1149, 547, 21079, 2622, 15510, 257, 630, 25811, 1359, 5345, 559, 267, 4728, 476, 1789, 476, 1001, 275, 994, 268, 1323, 517, 12727, 834, 307, 564, 29104, 6669, 949, 581, 561, 3166, 609, 4550, 1922, 19910, 3075, 269, 4139, 1315, 3384, 2477, 257, 630, 309, 3147, 710, 28315, 267, 476, 1960, 276, 994, 268, 1323, 517, 12727, 834, 289, 650, 27176, 7690, 543, 519, 13044, 268, 866, 28404, 8416, 20280, 531, 257, 630, 6524, 898, 781, 5240, 267, 4989, 476, 736, 476, 1708, 271, 994, 268, 1323, 517, 12727, 834, 290, 10604, 268, 866, 281, 9291, 27176, 543, 519, 5177, 28404, 8416, 20280, 531, 257, 630, 313, 539, 27925, 267, 4989, 476, 736, 476, 1708, 271, 267, 476, 1691, 1295, 8094, 268, 5753, 779, 2657, 16470, 12243, 281, 834, 763, 667, 1263, 341, 1314, 807, 28155, 12984, 26062, 13012, 538, 519, 10435, 1765, 1432, 4024, 19732, 523, 2060, 513, 15570, 1117, 5046, 268, 866, 28404, 8119, 630, 14399, 779, 2657, 16470, 267, 4989, 476, 2537, 476, 1708, 271, 994, 268, 834, 290, 2753, 5980, 595, 8712, 1280, 10466, 2986, 14959, 3245, 25613, 826, 21478, 257, 630, 20464, 476, 2767, 476, 1001, 278, 994, 268, 1849, 1478, 20048, 1834, 281, 834, 27144, 674, 269, 17394, 12789, 281, 9291, 27176, 1772, 9866, 612, 539, 2060, 17261, 1149, 1656, 2048, 5353, 2114, 23556, 539, 1635, 589, 11619, 1014, 545, 1230, 341, 2109, 685, 2334, 1261, 1772, 20121, 1441, 1677, 2048, 24591, 634, 2622, 2060, 5303, 1656, 589, 2696, 6438, 654, 3739, 1145, 1677, 15331, 2201, 634, 22032, 2986, 10815, 518, 18972, 685, 257, 630, 5141, 1478, 20048, 29750, 267, 4989, 476, 280, 476, 1708, 271, 994, 268, 1546, 4011, 1695, 28137, 543, 17722, 25020, 538, 281, 834, 21766, 543, 519, 6855, 2770, 968, 4621, 7032, 20874, 892, 1107, 634, 22720, 297, 543, 519, 13163, 540, 15766, 894, 4750, 1143, 1867, 602, 729, 4988, 909, 257, 630, 25811, 1359, 5345, 559, 267, 5988, 476, 1015, 476, 1001, 275, 994, 268, 28137, 667, 1696, 620, 12727, 834, 21766, 543, 519, 6855, 2770, 968, 4621, 7032, 20874, 892, 257, 630, 13696, 297, 267, 476, 1001, 271, 994, 268, 4856, 321, 9116, 281, 834, 8005, 568, 9291, 27176, 8119, 630, 290, 12643, 9116, 7797, 267, 2904, 476, 272, 476, 1708, 271, 264, 3487, 2290, 281, 1215, 9291, 27176, 3933, 641, 565, 1242, 6820, 2657, 630, 2537, 1295, 12175, 3487, 5565, 281, 9291, 27176, 685, 4643, 547, 17261, 3729, 519, 2622, 630, 2764, 1295, 12175, 3487, 8422, 281, 9291, 27176, 543, 519, 15510, 6513, 25373, 630, 3607, 1295, 8094, 268, 594, 664, 16026, 281, 834, 17357, 517, 8785, 24522, 6658, 543, 1548, 1411, 3657, 3502, 9861, 570, 1245, 1107, 3487, 476, 272, 257, 630, 19423, 28621, 731, 1014, 267, 4989, 476, 1704, 476, 1708, 271, 994, 268, 667, 597, 333, 327, 21580, 590, 1696, 620, 12727, 834, 293, 23341, 543, 6375, 1670, 10083, 540, 519, 2910, 15121, 3856, 1400, 10137, 540, 1480, 32711, 31020, 16891, 611, 582, 1886, 514, 12498, 281, 6286, 585, 519, 14959, 4332, 1852, 6669, 257, 630, 293, 17955, 289, 267, 476, 1960, 274, 994, 268, 9291, 27176, 281, 834, 289, 650, 27176, 281, 3371, 779, 875, 547, 1118, 909, 585, 4503, 942, 593, 524, 10604, 268, 866, 257, 630, 29910, 5403, 267, 4989, 476, 272, 476, 1708, 271, 994, 268, 6276, 26186, 603, 338, 281, 834, 763, 11452, 6433, 568, 9870, 2055, 936, 3624, 781, 2078, 609, 519, 2622, 2657, 9257, 257, 630, 290, 13585, 267, 5988, 476, 1704, 476, 1708, 271, 994, 268, 715, 7614, 773, 13535, 564, 543, 25844, 523, 14529, 684, 281, 834, 25603, 519, 1158, 779, 1034, 3532, 4387, 281, 9291, 27176, 269, 634, 3301, 544, 690, 592, 779, 32022, 936, 519, 2622, 2657, 9257, 838, 2720, 9880, 827, 3765, 31419, 14422, 543, 3768, 826, 3310, 257, 630, 303, 7035, 4815, 267, 4989, 476, 1428, 476, 1001, 278, 994, 268, 10878, 23449, 21890, 514, 281, 834, 17092, 3918, 2894, 21832, 16692, 3201, 281, 7201, 15147, 540, 7136, 12280, 267, 12448, 19923, 27622, 595, 8712, 538, 519, 9291, 542, 320, 2231, 547, 12706, 513, 4400, 6874, 3663, 29325, 17380, 807, 257, 630, 763, 3955, 1061, 267, 2904, 476, 279, 476, 1708, 271, 994, 268, 3220, 9478, 30330, 7637, 281, 834, 1692, 519, 13813, 12752, 1230, 638, 1229, 6925, 267, 16010, 543, 11982, 257, 630, 20464, 476, 1626, 476, 1001, 277, 994, 268, 3220, 9478, 30330, 7637, 281, 834, 4692, 1411, 11565, 519, 14959, 2060, 5046, 268, 866, 17455, 2438, 15863, 8119, 630, 300, 2075, 7637, 267, 4989, 476, 1691, 476, 1708, 271, 994, 268, 3220, 9478, 30330, 7637, 281, 834, 289, 650, 27176, 267, 9517, 1708, 271, 543, 28404, 5843, 577, 2354, 257, 630, 300, 2075, 7637, 267, 4989, 476, 736, 476, 1708, 271, 994, 268, 3220, 9478, 30330, 7637, 281, 834, 289, 650, 27176, 2443, 4107, 667, 836, 2730, 5845, 20395, 626, 538, 7073, 3778, 8119, 630, 19688, 476, 2641, 476, 1708, 271, 994, 268, 3220, 9478, 30330, 7637, 281, 834, 303, 6372, 12694, 538, 27649, 28404, 4886, 281, 589, 7981, 19877, 2060, 7917, 674, 269, 17394, 12789, 1701, 630, 9802, 476, 1015, 476, 1708, 271, 264, 11473, 630, 9802, 476, 279, 476, 1708, 271, 267, 476, 2190, 1295, 1916, 268, 3220, 9478, 30330, 7637, 281, 834, 305, 665, 651, 325, 11839, 7690, 781, 4643, 547, 25397, 4892, 257, 630, 9802, 476, 1724, 476, 1708, 271, 994, 268, 3220, 9478, 30330, 7637, 281, 834, 262, 303, 1633, 2438, 262, 11657, 776, 257, 630, 9802, 476, 736, 476, 1708, 271, 267, 476, 2918, 1295, 8094, 268, 744, 28705, 808, 310, 1696, 620, 12727, 834, 18449, 294, 5853, 538, 14959, 31679, 29104, 28404, 538, 15057, 14780, 2478, 19634, 333, 538, 519, 15043, 2622, 257, 630, 15411, 7457, 4750, 7732, 267, 476, 1001, 278, 994, 268, 834, 15411, 4484, 3823, 519, 27176, 7690, 3498, 585, 4013, 1496, 21766, 316, 1894, 257, 630, 20464, 476, 2918, 476, 1001, 278, 994, 268, 13744, 681, 1952, 641, 677, 281, 834, 2108, 12831, 641, 1637, 28404, 892, 538, 15057, 543, 15332, 257, 630, 17471, 3194, 267, 5437, 476, 1556, 476, 1001, 275, 994, 268, 1975, 10098, 4787, 712, 553, 281, 834, 30875, 918, 1170, 5424, 1299, 9291, 27176, 11910, 1280, 7136, 17261, 1588, 1299, 6820, 26291, 257, 630, 19688, 476, 277, 476, 1708, 271, 267, 476, 6078, 1295, 8094, 268, 1975, 10098, 4787, 712, 553, 281, 834, 15542, 6744, 532, 519, 5517, 6744, 619, 281, 9291, 27176, 267, 9517, 1708, 271, 1299, 28404, 5843, 577, 2354, 257, 630, 19688, 476, 1015, 476, 1708, 271, 267, 476, 1704, 1295, 8094, 268, 2051, 514, 570, 617, 327, 684, 614, 281, 834, 763, 27176, 7690, 543, 519, 968, 23219, 593, 22418, 27535, 2048, 26296, 29621, 685, 538, 606, 6520, 540, 3026, 565, 28515, 1143, 257, 630, 17471, 3194, 267, 4989, 476, 2918, 476, 1708, 271, 994, 268, 1323, 517, 12727, 834, 21357, 570, 10455, 15967, 476, 1708, 271, 257, 630, 294, 2958, 1234, 3150, 267, 4989, 476, 1015, 476, 1708, 271, 267, 476, 275, 1295, 8094, 268, 1323, 517, 12727, 834, 301, 984, 601, 9085, 19846, 622, 5981, 773, 341, 747, 645, 2931, 476, 276, 294, 27649, 3117, 335, 16820, 7869, 257, 630, 300, 17398, 8648, 267, 4989, 476, 1704, 476, 1708, 271, 994, 268, 1323, 517, 12727, 834, 262, 289, 650, 27176, 568, 11173, 519, 960, 540, 631, 976, 27053, 3299, 966, 663, 3570, 32251, 6645, 21598, 23814, 476, 2190, 257, 630, 293, 8896, 476, 2190, 267, 5239, 476, 2537, 476, 1001, 280, 267, 476, 1321, 1295, 8094, 309, 3147, 5209, 282, 4210, 710, 12071, 17261, 1588, 11020, 28100, 282, 15089, 5255, 2354, 543, 12829, 28545, 454, 22461, 2368, 2090, 1397, 602, 12119, 12674, 949, 24705, 4027, 1996, 519, 7525, 12119, 14798, 8833, 267, 855, 949, 849, 14020, 12046, 1996, 6855, 12490, 563, 22461, 1403, 713, 568, 519, 2013, 267, 621, 949, 9305, 547, 930, 540, 519, 8390, 1063, 2477, 538, 519, 10335, 540, 5046, 268, 866, 267, 1141, 972, 568, 513, 2362, 19718, 540, 12119, 14798, 12674, 585, 519, 11361, 9907, 476, 4792, 266, 538, 519, 2475, 267, 5177, 267, 7977, 267, 8050, 543, 519, 13814, 267, 982, 538, 5125, 267, 11894, 267, 519, 16231, 6243, 267, 6215, 8576, 807, 543, 19077, 684, 807, 267, 4352, 713, 1281, 711, 3514, 609, 2338, 689, 3162, 9705, 267, 1715, 10215, 543, 930, 824, 2477, 563, 22461, 901, 1223, 849, 9305, 547, 513, 9860, 585, 4049, 2665, 1851, 519, 11361, 543, 267, 538, 930, 2477, 267, 1072, 4600, 267, 1141, 789, 616, 9415, 610, 2838, 547, 723, 12119, 2770, 15833, 563, 22461, 634, 476, 1220, 280, 670, 272, 301, 272, 4210, 710, 12071, 28404, 3361, 2634, 3441, 538, 1453, 563, 268, 1323, 517, 12727, 834, 2791, 1522, 2907, 581, 5843, 577, 5792, 910, 2274, 8898, 9022, 338, 4762, 3305, 12484, 1302, 18421, 593, 14136, 3004, 22486, 257, 630, 8867, 752, 5741, 267, 4873, 476, 2190, 476, 1001, 278, 267, 476, 5379, 1295, 8094, 268, 20153, 773, 16907, 1633, 281, 834, 18933, 710, 2770, 9666, 619, 262, 13218, 547, 3075, 10909, 281, 12866, 14959, 4966, 5532, 609, 6669, 12696, 257, 630, 291, 2905, 25357, 267, 4864, 476, 1724, 476, 1001, 271, 994, 268, 4515, 18466, 932, 1601, 644, 990, 20391, 281, 834, 1220, 280, 670, 272, 301, 272, 28404, 6970, 4310, 11020, 28100, 538, 5753, 269, 3220, 269, 20900, 674, 879, 857, 593, 968, 309, 3147, 710, 8881, 892, 12983, 257, 630, 17471, 3194, 267, 2904, 476, 274, 476, 1708, 271, 994, 268, 21582, 1782, 645, 297, 1696, 620, 12727, 968, 19102, 1078, 1981, 540, 1875, 8882, 1663, 27833, 7929, 3644, 5563, 2404, 609, 2256, 18967, 540, 30737, 17300, 14798, 6669, 892, 630, 28058, 16791, 2598, 1421, 476, 1001, 273, 994, 268, 25120, 807, 6154, 17507, 281, 834, 301, 534, 5255, 2354, 1656, 12829, 28545, 1107, 667, 836, 2730, 1715, 8131, 2986, 5274, 5843, 577, 6235, 3397, 12629, 257, 630, 20332, 2657, 5240, 267, 5239, 476, 736, 476, 1001, 278, 994, 268, 31232, 281, 834, 14813, 1663, 27833, 12674, 3928, 257, 630, 260, 540, 2551, 9907, 476, 4792, 31956, 5767, 1239, 2139, 994, 268, 8751, 623, 7163, 281, 834, 31416, 5937, 600, 3042, 5177, 7861, 15501, 540, 4210, 710, 12071, 28404, 547, 5192, 11278, 2568, 28985, 3281, 18730, 257, 630, 17220, 6355, 8648, 267, 4728, 476, 273, 476, 1001, 275, 994, 268, 4787, 578, 6425, 7288, 20336, 1696, 620, 12727, 968, 18128, 2064, 538, 513, 1849, 13831, 15932, 1242, 2552, 9776, 23632, 540, 16842 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3513, 798, 713, 676, 12055, 908, 936, 1142, 6843, 543, 10992, 952, 972, 568, 606, 6316, 547, 1169, 824, 6843, 780, 3499, 7090, 454, 825, 585, 1775, 538, 2039, 3799, 2187, 1038, 10917, 815, 11713, 1038, 585, 795, 538, 2039, 3799, 2187, 2018, 952, 1775, 2652, 795, 912, 3546, 589, 5157, 267, 795, 316, 815, 476, 272, 454, 2018, 3116, 912, 3546, 952, 589, 14728, 267, 1775, 316, 11203, 476, 271, 912, 7386, 589, 5157, 267, 795, 316, 815, 589, 14728, 267, 1775, 2639, 7386, 10917, 6910, 27203, 994, 3546, 3116, 912, 7386, 952, 568, 318, 8588, 3287, 318, 718, 5157, 3910, 586, 318, 718, 5157, 3910, 1535, 318, 718, 14728, 3910, 586, 318, 718, 14728, 16689, 14030, 11434, 3404, 267, 23690, 267, 678, 337, 267, 681, 2187, 13376, 589, 5157, 267, 795, 316, 815, 476, 272, 454, 13376, 10917, 6910, 27203, 994, 1038, 4155, 8548, 777, 6910, 6025, 11391, 994, 7884, 763, 9018, 8520, 12055, 919, 936, 1142, 6843, 1269, 328, 10608, 634, 6418, 8520, 12055, 919, 936, 1142, 6843, 1269, 329, 10608, 1403, 1269, 328, 259, 543, 1269, 329, 259, 616, 519, 1482, 6843, 267, 649, 1305, 1269, 320, 3709, 6359, 4151, 547, 476, 272, 267, 1317, 513, 6843, 568, 2141, 4448, 547, 3294, 780, 2252, 1269, 320, 3709, 10202, 4151, 568, 711, 476, 271, 267, 621, 1797, 602, 972, 568, 606, 6316, 689, 6843, 1269, 329, 259, 547, 6843, 1269, 328, 10608, 769, 713, 2013, 267, 649, 1305, 1269, 320, 3709, 6359, 4151, 547, 1269, 320, 3709, 10202, 4151, 543, 16289, 1269, 329, 259, 547, 519, 2387, 31184, 319, 1592, 269, 901, 1592, 786, 581, 1031, 2663, 547, 1711, 519, 31387, 780, 2252, 1269, 320, 3709, 10202, 4151, 568, 476, 271, 267, 649, 991, 547, 2638, 952, 972, 568, 606, 6316, 689, 6843, 1269, 328, 259, 547, 6843, 1269, 329, 10608, 1284, 798, 713, 676, 10912, 519, 2387, 529, 318, 8588, 319, 1599, 269, 901, 1599, 3217, 519, 10974, 540, 519, 1079, 9136, 543, 519, 6724, 540, 519, 3440, 543, 7024, 6936, 952, 519, 1079, 2798, 616, 1369, 519, 3440, 540, 6378, 8953, 269, 1403, 519, 2798, 616, 1369, 519, 3440, 267, 649, 1305, 1269, 320, 3709, 6359, 4151, 547, 476, 272, 543, 16289, 1269, 329, 259, 547, 519, 2387, 31184, 319, 1592, 780, 1012, 3848, 476, 275, 281, 12861, 519, 10003, 14090, 692, 763, 31387, 568, 513, 1592, 540, 8638, 267, 1141, 1142, 6418, 1592, 3568, 519, 17523, 540, 519, 9136, 602, 616, 4448, 547, 519, 7222, 6843, 538, 519, 9018, 1592, 780, 3499, 7090, 454, 825, 4155, 8548, 777, 815, 11713, 825, 585, 1775, 538, 2039, 3799, 2187, 1038, 10917, 815, 11713, 1038, 585, 795, 538, 2039, 3799, 2187, 2018, 1948, 4429, 1038, 4155, 8548, 777, 6910, 6025, 11391, 994, 7884, 1103, 519, 3105, 3296, 267, 649, 20651, 519, 2387, 31184, 319, 1592, 609, 519, 17523, 540, 519, 9136, 602, 616, 4448, 547, 6843, 1269, 328, 10608, 2311, 519, 1439, 540, 1142, 21767, 540, 519, 9018, 8520, 267, 649, 16289, 713, 1592, 547, 519, 2387, 5802, 8548, 777, 319, 1592, 780, 1012, 3848, 476, 276, 281, 16453, 1944, 519, 1520, 329, 659, 1890, 19336, 692, 7661, 267, 649, 3339, 1125, 519, 7755, 659, 1890, 5119, 865, 602, 519, 2040, 540, 519, 2609, 538, 1142, 4737, 568, 476, 272, 269, 901, 2306, 519, 5119, 513, 4737, 3613, 27181, 5119, 267, 799, 568, 513, 5119, 1031, 538, 5506, 3069, 543, 4460, 990, 11800, 780, 3499, 7090, 454, 825, 589, 1315, 284, 589, 27904, 263, 9471, 284, 272, 267, 1832, 323, 15501, 18989, 264, 567, 1948, 1118, 621, 4737, 32094, 454, 7884, 1607, 1899, 540, 3009, 17337, 1142, 3693, 538, 519, 5119, 676, 519, 2040, 540, 519, 2609, 538, 922, 4737, 269, 634, 2387, 18141, 323, 15501, 18989, 319, 9936, 5849, 602, 519, 5119, 3788, 513, 476, 273, 291, 5044, 780, 1012, 10390, 692, 1103, 713, 1837, 267, 649, 723, 8268, 875, 547, 1711, 606, 7755, 659, 1890, 5119, 543, 513, 31387, 1210, 5124, 269, 1284, 723, 4988, 519, 1523, 540, 513, 3113, 543, 875, 621, 666, 581, 6719, 607, 606, 7755, 659, 1890, 5119, 269, 1284, 723, 849, 1642, 1386, 883, 519, 1523, 540, 513, 31387, 543, 875, 621, 666, 581, 1031, 547, 2099, 519, 4296, 1063, 9136, 780, 1607, 1702, 568, 4909, 538, 1585, 4610, 267, 971, 607, 2780, 2257, 267, 6128, 267, 543, 4702, 269, 898, 568, 513, 19480, 6149, 2509, 1620, 811, 1950, 2035, 971, 607, 3113, 3069, 267, 3060, 2079, 267, 543, 3684, 1565, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 952, 519, 476, 273, 2798, 616, 711, 1369, 513, 3440, 540, 6378, 8953, 21506, 2018, 2132, 8771, 1477, 825, 2132, 6936, 476, 24653, 287, 329, 527, 263, 4403, 28128, 18989, 3418, 3698, 7755, 659, 1890, 318, 3901, 3287, 318, 718, 267, 586, 318, 718, 267, 3404, 267, 23690, 267, 678, 337, 267, 681, 8029, 825, 5727, 1477, 825, 9577, 602, 5932, 519, 7755, 659, 1890, 5119, 689, 519, 8728, 543, 2798, 21506, 825, 609, 519, 6378, 7101, 3780, 1505, 610, 6671, 11553, 300, 1505, 21506, 825, 5727, 1477, 825, 562, 815, 7003, 3287, 318, 718, 3418, 825, 589, 815, 5286, 25910, 9230, 333, 267, 562, 17903, 825, 4155, 8548, 777, 815, 1496, 15947, 825, 585, 1775, 538, 2039, 3799, 8029, 1038, 10917, 815, 1496, 15947, 1038, 585, 795, 538, 2039, 3799, 8029, 2018, 952, 1775, 2652, 795, 6769, 3546, 589, 5157, 267, 795, 316, 815, 476, 272, 1477, 2018, 3116, 6769, 3546, 952, 589, 14728, 267, 1775, 316, 11203, 476, 271, 6769, 7386, 589, 5157, 267, 795, 316, 815, 589, 14728, 267, 1775, 15947, 7386, 10917, 6910, 27203, 264, 21506, 3546, 3116, 6769, 7386, 952, 568, 318, 8588, 3287, 318, 718, 5157, 3910, 586, 318, 718, 5157, 3910, 1535, 318, 718, 14728, 3910, 586, 318, 718, 14728, 3910, 1477, 14030, 11434, 3404, 267, 23690, 267, 678, 337, 267, 681, 8029, 13376, 589, 5157, 267, 795, 316, 815, 476, 272, 1477, 13376, 10917, 6910, 27203, 3418, 1038, 4155, 8548, 777, 6910, 6025, 11391, 3418, 825, 589, 1315, 284, 589, 27904, 263, 9471, 284, 272, 267, 1832, 323, 15501, 18989, 264, 567, 1948, 1118, 621, 4737, 32094, 1477, 825, 2132, 589, 267, 4155, 8548, 777, 454, 8199, 2237, 606, 3573, 543, 2143, 1837, 609, 19900, 1257, 543, 3009, 12612, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 930, 2596, 1702, 540, 519, 1641, 269, 476, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 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, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 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, 3848, 476, 280, 281, 24997, 6052, 7010, 910, 5295, 532, 3776, 8892, 609, 11162, 6052, 692, 7072, 912, 5970, 596, 2479, 9289, 1141, 5201, 2501, 689, 286, 1411, 1522, 1589, 540, 1379, 2371, 267, 855, 798, 596, 917, 1018, 10173, 1346, 1379, 2371, 286, 3509, 1869, 7048, 593, 8093, 10173, 899, 5755, 543, 2067, 3154, 267, 799, 5305, 5739, 5434, 883, 938, 2011, 950, 14616, 269, 1809, 972, 781, 1776, 1259, 1107, 998, 7791, 1648, 2959, 256, 1452, 616, 2973, 267, 3039, 2081, 547, 5352, 5201, 602, 4465, 1405, 2196, 856, 267, 7429, 8093, 10173, 269, 2913, 781, 2263, 1114, 2010, 540, 7791, 1648, 1949, 543, 875, 789, 666, 948, 1711, 513, 811, 4264, 2104, 585, 3025, 780, 4089, 476, 272, 281, 1548, 616, 24997, 6052, 17796, 2496, 30262, 1168, 762, 1648, 2959, 267, 849, 1634, 607, 2973, 19367, 267, 2097, 689, 6923, 25579, 1639, 2200, 971, 607, 7943, 267, 2842, 267, 4764, 267, 24232, 3002, 267, 543, 29500, 269, 9521, 1875, 516, 2908, 762, 2200, 899, 3282, 267, 5755, 267, 543, 2067, 3154, 267, 891, 2959, 3112, 581, 30701, 936, 942, 269, 1358, 2709, 513, 9621, 4244, 547, 2757, 1648, 2504, 2409, 1317, 789, 3132, 1447, 5533, 267, 2569, 13829, 593, 13113, 2200, 267, 543, 3565, 547, 2518, 3646, 1996, 2916, 1689, 780, 14300, 540, 24997, 6052, 17796, 1384, 265, 9891, 8440, 6460, 7943, 883, 5201, 269, 5994, 19713, 519, 3141, 781, 12345, 547, 5279, 707, 6049, 610, 1769, 909, 707, 1753, 2336, 265, 6489, 18434, 946, 2842, 547, 2490, 1804, 19059, 4448, 547, 18402, 267, 2870, 5201, 1175, 899, 513, 17919, 3846, 334, 1568, 269, 16514, 5458, 4412, 25527, 18343, 1472, 538, 519, 6607, 267, 10451, 1379, 585, 3003, 2950, 2336, 265, 10281, 19172, 10431, 21394, 4558, 1216, 3297, 7372, 6821, 1287, 1577, 621, 2095, 1524, 24824, 998, 18434, 547, 5352, 5201, 269, 2037, 9679, 513, 9649, 7297, 331, 728, 3246, 1379, 585, 4872, 2336, 265, 2983, 18540, 1648, 3096, 3905, 1216, 9944, 3047, 781, 2627, 547, 5397, 9252, 18434, 267, 6721, 5201, 269, 6056, 827, 13830, 519, 14246, 2620, 3330, 938, 4541, 547, 1832, 938, 5321, 18241, 1282, 5162, 3275, 2439, 4089, 476, 273, 281, 11588, 540, 24997, 6052, 7010, 692, 2467, 616, 3875, 2640, 2404, 609, 1210, 7791, 1648, 1949, 3079, 540, 13461, 9003, 593, 6671, 1379, 2959, 1384, 272, 269, 25841, 2506, 3827, 281, 8738, 940, 8093, 10173, 13847, 3327, 8166, 543, 824, 14107, 883, 519, 5790, 267, 7700, 3648, 547, 2518, 8337, 543, 4057, 2011, 2298, 269, 1635, 4334, 267, 5710, 1963, 12520, 2370, 547, 1100, 8511, 9362, 563, 273, 269, 8779, 14205, 902, 281, 2755, 3355, 10380, 3790, 949, 581, 1164, 267, 7791, 4066, 4688, 2724, 538, 519, 1279, 2165, 1813, 547, 2539, 10512, 9276, 543, 4389, 16126, 593, 16865, 4492, 563, 274, 269, 16763, 20520, 281, 21846, 532, 2509, 15777, 3029, 540, 1648, 5932, 6009, 2066, 1585, 9922, 267, 1519, 5663, 267, 4070, 267, 1382, 267, 543, 1646, 563, 275, 269, 6052, 14412, 281, 18831, 609, 10731, 1569, 547, 7791, 2200, 666, 6175, 741, 21341, 593, 4914, 3282, 543, 3154, 20558, 267, 7393, 3084, 3354, 563, 276, 269, 7025, 10466, 281, 4635, 7791, 1648, 6971, 8833, 593, 8134, 22314, 676, 5599, 543, 17656, 4238, 1247, 8497, 9265, 563, 277, 269, 7043, 31645, 966, 6636, 281, 26187, 559, 10173, 616, 13113, 282, 5555, 267, 649, 786, 2196, 856, 269, 1717, 267, 3859, 5982, 267, 2842, 267, 1216, 9979, 267, 543, 24232, 2534, 786, 3136, 2484, 3564, 1480, 6228, 780, 6962, 912, 2026, 12403, 1841, 540, 938, 4541, 267, 621, 568, 2629, 602, 649, 1902, 538, 4264, 3435, 585, 5870, 938, 3395, 1648, 7569, 269, 5664, 1153, 1053, 1404, 513, 4105, 1909, 538, 5935, 14182, 781, 1158, 269, 4197, 7791, 1648, 1949, 16877, 721, 782, 547, 1491, 2962, 2221, 267, 4180, 513, 17321, 2104, 13324, 676, 2973, 267, 3970, 1652, 1648, 2959, 269, 8625, 267, 1577, 781, 10244, 2470, 781, 3808, 1652, 1761, 547, 2149, 938, 1604, 267, 3895, 2804, 2208, 267, 543, 5150, 513, 22928, 9371, 585, 5481, 547, 2097, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 272, 269, 23718, 24138, 18688, 630, 295, 976, 264, 6052, 7177, 2073, 595, 2464, 6052, 267, 1849, 2632, 541, 325, 267, 8581, 454, 296, 4076, 4503, 1293, 540, 519, 1297, 540, 2053, 594, 723, 5143, 2576, 594, 6557, 606, 1648, 11653, 543, 649, 723, 1312, 8815, 602, 621, 568, 513, 3056, 12967, 1899, 540, 960, 543, 1353, 269, 8550, 1354, 814, 4264, 1648, 5108, 1044, 865, 22521, 543, 621, 568, 543, 786, 581, 513, 1390, 4161, 547, 3035, 713, 6940, 5001, 563, 1607, 4641, 5280, 547, 1217, 1250, 3375, 547, 3442, 547, 1353, 6052, 7177, 538, 772, 6717, 269, 11109, 2141, 9053, 6128, 2861, 5396, 538, 1153, 543, 10150, 6061, 2042, 267, 4702, 8604, 899, 513, 1100, 1532, 1778, 518, 269, 6052, 7177, 1185, 519, 3773, 16007, 540, 1373, 513, 1007, 267, 4464, 6253, 9722, 6908, 540, 4702, 563, 763, 1576, 3294, 10905, 519, 1292, 1451, 902, 540, 519, 824, 10459, 540, 4702, 538, 772, 6717, 267, 609, 513, 1445, 593, 1379, 4702, 267, 1852, 4702, 267, 32721, 543, 7791, 1648, 1949 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 593, 28113, 267, 24061, 543, 4839, 334, 2422, 3694, 338, 609, 2898, 6588, 1231, 3079, 540, 30823, 7776, 21079, 519, 2179, 540, 12277, 596, 3548, 334, 17949, 782, 824, 2010, 540, 4829, 543, 5388, 267, 3226, 1346, 609, 513, 2539, 22542, 8161, 269, 334, 17949, 18437, 267, 30653, 23295, 540, 2898, 765, 6737, 16202, 7899, 540, 19997, 5388, 609, 513, 642, 2088, 580, 4958, 974, 19703, 454, 276, 269, 589, 3987, 2732, 568, 3274, 513, 2635, 4189, 1544, 602, 568, 1164, 538, 5567, 267, 1970, 538, 3170, 267, 543, 7116, 4733, 538, 8477, 269, 898, 568, 513, 2635, 2732, 585, 4896, 256, 2005, 568, 5393, 1271, 585, 513, 15847, 3461, 547, 11282, 1010, 1315, 615, 6980, 543, 6646, 269, 32451, 2370, 1426, 538, 6476, 547, 707, 3987, 6527, 2443, 2523, 7378, 2443, 949, 1267, 514, 5906, 569, 1970, 1973, 4006, 630, 1506, 335, 16570, 20945, 1040, 18320, 1454, 1426, 949, 2014, 707, 1973, 4006, 24038, 547, 18214, 1932, 1164, 630, 30104, 16744, 20945, 1040, 634, 1019, 2896, 6048, 1315, 10629, 270, 6484, 626, 666, 948, 560, 686, 651, 519, 1318, 3666, 269, 2704, 4022, 543, 7392, 476, 273, 3987, 2433, 2252, 596, 616, 593, 7378, 267, 610, 1978, 5711, 3987, 6527, 267, 971, 607, 513, 9829, 517, 2643, 675, 553, 602, 560, 574, 3634, 519, 18558, 547, 3132, 811, 7378, 267, 6704, 4568, 666, 2014, 513, 5906, 1970, 29188, 4006, 1317, 707, 6797, 814, 547, 960, 547, 4894, 519, 4568, 689, 707, 1973, 3079, 540, 1080, 1292, 2816, 547, 10038, 707, 1973, 4006, 2529, 12522, 6704, 4808, 281, 3040, 13693, 707, 10629, 543, 1246, 1010, 17017, 5796, 2443, 4568, 666, 22009, 3987, 8374, 269, 3040, 18554, 707, 1973, 4006, 1354, 267, 1282, 267, 543, 1310, 6704, 4568, 269, 5457, 547, 2638, 1354, 2469, 547, 5127, 269, 3040, 8550, 4235, 4568, 593, 606, 8900, 7181, 2443, 1426, 25815, 1524, 519, 10338, 540, 4568, 883, 519, 1973, 6908, 269, 3040, 3680, 28675, 6704, 2443, 634, 1977, 12128, 5948, 5267, 2367, 723, 1100, 811, 982, 1079, 10425, 513, 1554, 267, 543, 2021, 835, 267, 519, 1482, 4808, 607, 585, 1346, 1510, 3987, 269, 3040, 2142, 5423, 2443, 11408, 4163, 2059, 7280, 14342, 610, 1776, 2707, 540, 4006, 269, 3040, 667, 2632, 3575, 4568, 543, 3635, 2443, 2168, 2534, 543, 4568, 786, 2333, 707, 8458, 540, 3478, 513, 1970, 1973, 4006, 269, 3040, 634, 2589, 540, 1932, 1454, 4568, 543, 1970, 1973, 4006, 666, 581, 1360, 2147, 267, 1775, 4318, 269, 3207, 1465, 267, 21994, 267, 543, 771, 528, 1304, 566, 269, 1411, 21645, 1616, 1866, 547, 19451, 569, 25657, 31202, 20945, 585, 1743, 684, 5287, 1145, 269, 304, 3726, 1154, 7296, 10778, 277, 269, 2372, 9231, 7296, 568, 835, 540, 519, 1034, 1271, 1919, 513, 15847, 666, 798, 547, 2087, 1010, 1315, 615, 8234, 269, 3911, 758, 619, 609, 3987, 723, 606, 2799, 1981, 540, 519, 1739, 281, 3040, 12280, 267, 2523, 689, 2295, 6285, 543, 18116, 3040, 4400, 25928, 9497, 21112, 8442, 8501, 2157, 3040, 654, 832, 2989, 1973, 4006, 6417, 267, 3379, 547, 1875, 23337, 758, 619, 3040, 715, 2925, 3441, 689, 3987, 3040, 26640, 2068, 3056, 547, 31533, 3040, 14272, 22377, 543, 993, 1584, 566, 540, 19462, 267, 3952, 610, 7953, 3361, 676, 15672, 15466, 2068, 13312, 28017, 945, 16718, 7296, 666, 6175, 741, 4220, 8160, 539, 10716, 666, 581, 513, 2629, 7755, 9417, 547, 4509, 513, 2635, 1973, 7280, 1377, 865, 1246, 1492, 8846, 585, 1142, 6646, 543, 1491, 621, 693, 519, 11311, 2053, 269, 1403, 519, 5528, 616, 9103, 820, 621, 1354, 6980, 267, 798, 602, 5781, 7868, 1554, 3562, 6377, 2359, 540, 1973, 4006, 2157, 666, 581, 7294, 269, 634, 3232, 20786, 16673, 1331, 5711, 6527, 543, 5924, 7378, 267, 7928, 1973, 4006, 5464, 267, 543, 5402, 680, 10165, 6980, 543, 16152, 269, 10144, 609, 3987, 949, 991, 547, 1491, 1896, 6527, 2429, 519, 1554, 269, 5709, 725, 547, 12294, 1164, 1973, 2604, 267, 2539, 8501, 2157, 267, 543, 1970, 1673, 846, 29469, 949, 581, 1031, 547, 2006, 720, 543, 2061, 8374, 269, 3962, 13310, 1058, 581, 3144, 4010, 607, 9859, 593, 740, 2905, 4493, 269, 1403, 519, 6646, 8430, 568, 1950, 267, 513, 10788, 28013, 610, 513, 19701, 1315, 2854, 856, 4802, 655, 599, 581, 5363, 538, 19551, 547, 1491, 1808, 6527, 693, 1808, 2053, 2529, 6269, 677, 540, 1920, 543, 2828, 3112, 581, 15763, 585, 922, 2956, 269, 1284, 782, 991, 547, 917, 7474, 649, 616, 711, 4805, 538, 713, 3460, 269, 1546, 2718, 609, 3987, 568, 606, 5571, 4161, 267, 855, 3232, 1410, 9052, 267, 2834, 7280, 4152, 267, 2635, 6484, 267, 12905, 6646, 543, 5812, 655, 10899, 1489, 666, 948, 596, 2661, 513, 1279, 543, 2635, 1272, 269, 27735, 540, 8682, 5516, 2433, 30048, 3232, 1416, 2882, 281, 1973, 4006, 5464, 267, 7594, 4058, 267, 3635, 267, 543, 2921, 20365, 6527, 5781, 269, 4746, 267, 1491, 1416, 540, 707, 3952, 543, 11547, 609, 3636, 1216, 543, 7646, 810, 777, 4948, 267, 543, 3314, 798, 711, 27653, 269, 6744, 5702, 585, 29565, 2583, 267, 18015, 543, 25017, 3921, 787, 2960, 269, 8550, 798, 968, 24610, 6391, 892, 593, 707, 3952, 267, 2307, 585, 948, 689, 513, 10629, 952, 596, 723, 1415, 4145, 269, 10144, 609, 3987, 849, 991, 547, 1852, 741, 2566, 2157, 269, 13262, 995, 2621, 616, 513, 4641, 540, 5158, 543, 789, 666, 2760, 581, 17515, 4625, 269, 1306, 971, 2566, 2359, 568, 2556, 585, 18490, 513, 6126, 543, 2635, 1272, 269, 898, 849, 5012, 547, 1732, 2359, 540, 3987, 269, 634, 1598, 1538, 625, 547, 4383, 2566, 1331, 3635, 543, 11005, 2553, 267, 10649, 267, 9066, 267, 25791, 7028, 267, 543, 538, 4049, 2665, 267, 29492, 609, 3318, 2618, 6139, 1905, 1235, 563, 278, 269, 3143, 2339, 1018, 2186, 540, 3987, 596, 723, 267, 7392, 476, 272, 610, 7392, 476, 273, 267, 538, 519, 1279, 2165, 621, 1223, 1291, 23179, 977, 338, 593, 824, 8219, 540, 707, 1560, 543, 849, 8374, 269, 1677, 2061, 891, 8374, 32586, 3804, 1058, 581, 547, 1451, 519, 13235, 779, 540, 3987, 269, 634, 968, 288, 892, 6763, 585, 519, 589, 272, 290, 610, 24562, 288, 272, 290, 1449, 267, 799, 3800, 3328, 1973, 7280, 936, 519, 3105, 476, 274, 3275, 269, 968, 289, 892, 568, 585, 29188, 2604, 267, 543, 968, 290, 892, 568, 585, 8501, 269, 4658, 609, 3987, 1058, 12492, 607, 2282, 607, 7538, 1973, 4006, 267, 1973, 2604, 543, 8501, 2157, 269, 4746, 267, 596, 1058, 1246, 909, 609, 21428, 903, 6509, 5781, 585, 1072, 5826, 2638, 13522, 269, 2353, 2550, 609, 3987, 1058, 914, 8972, 14013, 609, 1981, 3815, 12381, 6185, 328, 3449, 543, 8377, 616, 1079, 2101, 1072, 2152, 602, 616, 593, 513, 4028, 4473, 2221, 269, 5590, 930, 3853, 1721, 3054, 267, 1118, 930, 6197, 2242, 267, 543, 1491, 1852, 269, 12128, 568, 593, 519, 4473, 267, 2943, 1034, 322, 1162, 540, 3987, 616, 28824, 609, 2635, 6197, 2242, 269, 2368, 666, 1256, 581, 1134, 2006, 3042, 543, 6417, 609, 519, 1318, 6197, 543, 6527, 269, 634, 5377, 1899, 568, 602, 596, 17647, 811, 1852, 936, 707, 1072, 982, 596, 1589, 269, 1403, 596, 2461, 7255, 827, 3987, 267, 596, 4754, 1118, 513, 3017, 676, 4189, 513, 2635, 2732, 267, 5329, 707, 2597, 538, 2638, 267, 3478, 1410, 9052, 267, 9013, 707, 2566, 543, 2921, 707, 6527, 607, 15695, 269, 2353, 891, 6197, 663, 9354, 3800, 786, 6038, 948, 596, 1832, 707, 1973, 4006, 1377, 1369, 707, 339, 13759, 2039, 543, 666, 948, 596, 2661, 513, 1279, 543, 2635, 1272, 7868, 2376, 568, 30363, 676, 3220, 2098, 514, 14113, 8496, 534, 267, 12854, 267, 631, 4456, 306, 267, 674, 296, 5960, 288, 267, 674, 2975, 301, 267, 674, 10133, 1299, 31572, 10615, 540, 7885, 302, 2742, 16195, 269, 3220, 2098, 514, 14113, 814, 8329, 3648, 547, 1007, 842, 3174, 540, 3782, 543, 6484, 2472, 267, 4791, 1382, 267, 543, 4371, 9972, 21752, 538, 3782, 1299, 1912, 12609, 2872, 1519, 6481, 10615, 540, 2806, 321, 2714, 269, 2311, 28058, 302, 2742, 16195, 267, 799, 568, 1200, 1378, 12497, 2213, 5075, 593, 6197, 2359, 267, 611, 341, 1047, 568, 3177, 593, 3617, 8192, 6208, 267, 8516, 543, 3635, 267, 10649, 543, 1644, 331, 604, 5598, 23857, 267, 585, 799, 1352, 568, 6462, 676, 513, 11727, 2319, 1519, 21428, 903, 19708, 1905, 626, 1315, 8516, 4274, 267, 513, 10649, 4274, 543, 24027, 3782, 4648, 9950, 21166, 2433, 4757, 11333, 2593, 23086, 2433, 1341, 280, 866, 279, 736, 2568, 277, 280, 4097, 0, 30547, 543, 2012, 5169, 454, 301, 996, 1415, 601, 1422, 333, 16216, 9984, 22474, 3917, 601, 267, 562, 996, 5416, 9984, 5500, 601, 315, 607, 513, 7911, 781, 2012, 568, 540, 12355, 5169, 267, 543, 519, 2495, 540, 715, 996, 1415, 601, 568, 834, 18661, 814, 2016, 2668, 715, 996, 1415, 601, 568, 513, 14583, 540, 26637, 1408, 630, 3891, 11119, 5148, 13400, 281, 835, 540, 519, 476, 1321, 19980, 956, 267, 945, 729, 849, 1572, 4446, 628, 565, 727, 342, 563, 301, 996, 1415, 601, 568, 711, 513, 2442, 1101, 2012, 585, 9038, 543, 606, 8449, 16613, 21519, 610, 2063, 2012, 585, 782, 1004, 630, 1220, 271, 772, 2529, 269, 17227, 1916, 11514, 2452, 539, 2630, 568, 513, 6476, 540, 519, 8560, 540, 519, 7911, 2012, 715, 996, 1415, 601, 543, 922, 14583, 3029, 269, 15019, 8390, 3029, 19486, 538, 519, 5440, 476, 1911, 271, 270, 1911, 616, 26637, 1408, 630, 258, 11463, 1070, 715, 987, 3570, 601, 630, 258, 6812, 277, 264, 543, 26637, 658, 269, 630, 1001, 275, 7194, 1040, 0, 7312, 8261, 547, 519, 2413, 6531, 7384, 3060, 454, 288, 3102, 4015, 540, 4930, 267, 7044, 543, 811, 267, 1688, 1790, 17673, 676, 938, 15769, 454, 25413, 2264, 20452, 15943, 630, 306, 7894, 264, 568, 513, 3354, 5943, 2919, 676, 519, 13192, 8232, 19137, 563, 763, 5943, 568, 1759, 593, 519, 4972, 540, 16470, 781, 834, 928, 539, 3562, 268, 3104, 257, 2203, 282, 782, 1439, 9557, 12394, 547, 1569, 513, 2016, 5989, 1590, 581, 6461, 5344, 543, 17101, 1991, 547, 13675, 269, 4495, 28431, 4534, 799, 3217, 1747, 538, 519, 6531, 4534, 568, 2347, 267, 11967, 3457, 616, 2016, 513, 2189, 267, 10151, 6939, 4919, 4276, 547, 519, 3077, 5989, 269, 19402, 1287, 267, 519, 5989, 1373, 6870, 676, 606, 590, 7894, 568, 834, 18872, 1701, 901, 1797, 602, 7379, 9607, 585, 519, 3077, 5989, 616, 1152, 7000, 547, 17101, 3457, 563, 763, 2947, 6106, 540, 519, 590, 7894, 5943, 781, 3354, 8060, 616, 912, 268, 27620, 15418, 454, 268, 17266, 17142, 28431, 454, 268, 23688, 783, 3560, 4494, 3354, 454, 268, 25674, 3595, 31486, 454, 268, 13335, 11006, 454, 306, 7894, 338, 2539, 519, 8458, 540, 3811, 3060, 2861, 6285, 971, 607, 24677, 6361, 28129, 3430, 2931, 267, 812, 2987, 7308, 2173, 1497, 6285, 267, 7746, 16426, 543, 14694, 3350, 6285, 971, 607, 14069, 13297, 610, 3444, 21935, 7097, 532, 269, 590, 7894, 1281, 711, 723, 1022, 1007, 10873, 267, 2864, 621, 16621, 4441, 689, 715, 8780, 543, 744, 3008, 3041, 630, 10175, 623, 298, 296, 267, 570, 11862, 267, 7379, 5913, 543, 590, 4456, 299, 1916, 25594, 7335, 6168, 3301, 20452, 15943, 630, 306, 7894, 994, 781, 21510, 2264, 20452, 15943, 630, 306, 7894, 264, 262, 568, 851, 540, 519, 912, 8698, 2353, 26479, 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, 729, 519, 4677, 12630, 888, 273, 269, 1548, 729, 519, 2012, 540, 519, 2575, 4116, 1419, 10272, 676, 519, 19946, 888, 274, 269, 5808, 729, 519, 9375, 540, 519, 24545, 5240, 888, 275, 269, 834, 11073, 331, 1516, 519, 12223, 27258, 257, 3877, 519, 1439, 540, 519, 13343, 18844, 5736, 563, 276, 269, 898, 729, 5156, 602, 715, 15967, 729, 4098, 547, 7985, 689, 799, 540, 519, 1739, 888, 277, 269, 634, 5548, 534, 903, 1185, 513, 1390, 2179, 540, 8296, 585, 782, 855, 799, 540, 519, 1739, 2516, 888, 278, 269, 769, 1018, 1032, 1705, 519, 1126, 5884, 888, 279, 269, 4340, 547, 519, 19946, 267, 715, 15967, 781, 10385, 729, 1419, 21718, 563, 280, 269, 1548, 729, 519, 2012, 540, 519, 24133, 1612, 3271, 1141, 715, 15967, 729, 9788, 547, 1964, 888, 1015, 269, 1215, 1082, 2665, 1705, 13535, 6975, 21991, 1393, 1282, 1010, 4876, 888, 1556, 269, 769, 1018, 3923, 1705, 519, 16154, 1491 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1152, 6227, 3037, 12526, 610, 20702, 269, 1280, 824, 2152, 267, 519, 23138, 11148, 547, 5967, 519, 7606, 3743, 585, 2825, 2152, 693, 519, 2754, 563, 15152, 519, 4579, 1876, 3069, 540, 519, 6406, 8943, 267, 513, 22673, 568, 25964, 585, 6456, 12889, 538, 519, 1843, 1373, 4421, 630, 1721, 1383, 267, 2244, 264, 547, 519, 23138, 269, 1306, 513, 1267, 267, 513, 23138, 568, 2356, 14955, 1356, 2740, 827, 519, 2474, 543, 2175, 540, 2489, 2825, 2152, 563, 4913, 267, 18046, 540, 2244, 616, 1360, 7255, 827, 519, 1808, 2152, 540, 912, 11997, 267, 621, 568, 1631, 1455, 585, 519, 23138, 547, 2154, 513, 22673, 540, 2244, 610, 513, 2679, 547, 2285, 15549, 625, 543, 967, 655, 333, 885, 7282, 3037, 12526, 543, 20702, 563, 1103, 519, 9042, 540, 8843, 538, 513, 1804, 2754, 267, 519, 23138, 2356, 3340, 519, 22673, 547, 2285, 15549, 625, 543, 967, 655, 333, 885, 827, 2825, 6927, 3622, 267, 543, 4481, 602, 519, 2754, 1281, 711, 29875, 1022, 2825, 4031, 543, 814, 1100, 2825, 13882, 563, 2467, 616, 2356, 942, 7182, 593, 2825, 15549, 625, 543, 967, 655, 333, 885, 543, 972, 616, 1419, 2883, 11503, 538, 2259, 269, 1717, 267, 896, 519, 7464, 24529, 3690, 9146, 6355, 4521, 267, 513, 1268, 945, 22851, 538, 1483, 10040, 8852, 3112, 1305, 942, 7182, 540, 1447, 982, 1079, 1296, 1310, 6765, 540, 519, 1483, 10040, 585, 15668, 585, 6456, 12889, 896, 4579, 1876, 3069, 540, 519, 6406, 8943, 563, 11847, 15659, 543, 2912, 1746, 454, 21430, 11280, 2127, 1857, 269, 634, 1827, 832, 540, 840, 2739, 999, 1857, 1047, 13572, 2127, 1336, 538, 16601, 13753, 896, 519, 590, 6717, 299, 607, 11280, 2127, 630, 5408, 7726, 476, 1691, 1040, 1358, 849, 5965, 543, 1118, 2139, 585, 14791, 1344, 3366, 7970, 593, 11280, 2127, 563, 4913, 267, 519, 1297, 540, 13685, 540, 3037, 12526, 1336, 1282, 17319, 13753, 568, 1454, 3677, 982, 519, 1297, 1336, 538, 16601, 13753, 896, 519, 590, 6717, 299, 267, 1317, 16601, 13753, 616, 1152, 17298, 538, 3908, 6381, 269, 14606, 12526, 1336, 538, 17319, 13753, 1281, 711, 723, 547, 581, 4080, 547, 2199, 6608, 267, 543, 865, 568, 711, 2139, 547, 519, 1857, 267, 4849, 950, 930, 2199, 6608, 1305, 856, 519, 17185, 547, 1867, 538, 3921, 514, 1734, 269, 2368, 3549, 2932, 17319, 23930, 540, 3037, 12526, 4362, 1282, 17319, 7634, 267, 585, 9746, 1514, 5539, 5301, 563, 2252, 2244, 568, 1336, 547, 581, 13572, 547, 606, 6708, 14931, 676, 519, 590, 6717, 299, 1317, 540, 17319, 13753, 676, 519, 2244, 26782, 267, 519, 2244, 666, 581, 1500, 513, 11280, 1858, 630, 14623, 27940, 14024, 10275, 340, 5942, 610, 1183, 880, 1080, 340, 268, 1156, 14150, 268, 10202, 3917, 334, 2389, 617, 12097, 324, 10275, 340, 5942, 264, 593, 519, 2244, 26782, 781, 3498, 630, 306, 6717, 299, 264, 630, 5408, 7726, 476, 1691, 267, 27148, 543, 2973, 909, 1040, 634, 1827, 832, 540, 840, 2739, 999, 1857, 1047, 13572, 2244, 602, 814, 1044, 1500, 513, 11280, 1858, 593, 3498, 267, 543, 5965, 1344, 3366, 7970, 593, 11280, 2127, 267, 799, 789, 1118, 2139, 585, 14791, 563, 31367, 6219, 2359, 269, 6355, 16904, 1590, 6895, 543, 711, 1518, 519, 2229, 540, 519, 630, 303, 3326, 583, 656, 24793, 543, 18734, 3204, 8651, 4521, 2187, 24127, 540, 741, 5434, 883, 519, 1604, 563, 31161, 618, 540, 3114, 6878, 3544, 741, 1870, 24284, 563, 763, 2229, 21410, 519, 2698, 540, 711, 1881, 1239, 585, 1142, 6219, 676, 1826, 540, 1870, 543, 676, 1858, 267, 543, 32245, 713, 269, 1403, 513, 1268, 13668, 1239, 593, 606, 1367, 1870, 10661, 267, 713, 1590, 849, 581, 31889, 563, 27802, 1734, 602, 666, 1860, 1480, 1072, 610, 3662, 543, 2030, 1272, 630, 528, 602, 3362, 1106, 971, 6878, 676, 3114, 1689, 1070, 543, 6878, 602, 3441, 519, 17645, 4494, 267, 1590, 581, 4080, 269, 6355, 16904, 7829, 11280, 6878, 540, 513, 1978, 4336, 616, 1641, 547, 891, 13800, 630, 303, 3326, 583, 656, 24793, 543, 18734, 3204, 8651, 4521, 1916, 19968, 16904, 7829, 11280, 6878, 1590, 267, 950, 22151, 519, 11280, 6878, 267, 1683, 1344, 593, 519, 2783, 543, 7829, 540, 519, 3114, 6878, 538, 1603, 547, 519, 824, 5428, 630, 1721, 1383, 267, 6765, 540, 7698, 8881, 4578, 16847, 630, 5960, 9169, 264, 1916, 23612, 5428, 5773, 454, 12179, 1367, 666, 3622, 7662, 8313, 540, 1344, 4371, 676, 6608, 267, 896, 4031, 610, 2199, 3921, 514, 1734, 593, 1344, 23930, 269, 7025, 1344, 666, 3006, 711, 581, 31889, 952, 267, 585, 1383, 267, 621, 568, 2693, 547, 3441, 519, 8013, 2990, 540, 513, 2754, 269, 1717, 267, 713, 1344, 1590, 2141, 581, 1500, 2139, 547, 519, 1857, 952, 713, 568, 2556, 585, 519, 1857, 1719, 563, 4467, 3966, 625, 616, 711, 2838, 547, 2932, 2825, 2912, 1746, 610, 10505, 2825, 5359, 269, 1452, 32116, 543, 5359, 616, 4867, 1152, 2944, 32380, 269, 1717, 267, 972, 568, 513, 2487, 12402, 585, 1804, 3549, 547, 5965, 2825, 5359, 543, 1118, 873, 1857, 267, 547, 1397, 741, 6161, 585, 519, 1604, 269, 7025, 5359, 616, 3006, 3769, 538, 3549, 262, 9746, 1514, 5539, 5359, 563, 763, 12080, 540, 519, 5113, 2488, 4808, 585, 2825, 5359, 543, 8638, 519, 1739, 547, 581, 1305, 856, 538, 873, 912, 21995, 6927, 630, 1721, 1383, 267, 519, 1870, 540, 519, 2754, 1916, 10048, 1771, 4507, 593, 2825, 11091, 563, 20245, 2359, 630, 1721, 1383, 267, 2825, 2359, 1949, 267, 1382, 543, 1646, 585, 519, 13476, 7550, 1374, 540, 2472, 543, 2533, 267, 543, 1857, 1719, 2238, 593, 519, 1604, 1916, 8002, 8481, 547, 2569, 2825, 1764, 563, 4467, 3966, 625, 666, 849, 30035, 2825, 1344, 538, 741, 912, 19968, 5359, 267, 5423, 693, 519, 1439, 540, 1142, 1870, 1032, 896, 519, 14992, 2920, 563, 20376, 20914, 5359, 630, 514, 519, 1570, 6927, 3296, 827, 519, 1870, 264, 1500, 896, 519, 11038, 29698, 543, 16510, 4521, 267, 799, 3340, 519, 6024, 23930, 540, 9746, 1344, 676, 1615, 340, 619, 540, 7396, 19736, 563, 2467, 616, 1100, 4170, 540, 2825, 32116, 610, 585, 519, 19169, 540, 2825, 5359, 630, 5408, 1657, 267, 7025, 2912, 1746, 1916, 2252, 972, 568, 606, 2825, 10071, 693, 513, 2754, 781, 6703, 267, 519, 1268, 945, 13333, 519, 6703, 1590, 1491, 6595, 3800, 543, 711, 1518, 519, 17294, 540, 519, 840, 2739, 675, 540, 519, 10071, 630, 8974, 1585, 9086, 267, 1519, 519, 5794, 21694, 6513, 4521, 267, 519, 4826, 21694, 6513, 4521, 267, 543, 519, 17904, 2598, 27760, 543, 5398, 7581, 753, 532, 4521, 1916, 15650, 540, 6142, 543, 1981, 454, 1103, 2487, 1296, 267, 6142, 814, 1831, 2139, 585, 912, 291, 600, 720, 16109, 856, 540, 13685, 971, 607, 2011, 5533, 267, 15780, 5533, 543, 3037, 12526, 563, 291, 600, 1137, 16109, 856, 540, 2825, 5533, 1813, 547, 26438, 1568, 609, 2825, 4220, 267, 971, 607, 3037, 12526, 22729, 960, 563, 303, 584, 2305, 3790, 30309, 676, 2244, 14935, 1813, 547, 11889, 9753, 896, 1978, 4031, 543, 6042, 971, 607, 519, 590, 6717, 299, 563, 23114, 543, 1875, 1790, 5966, 3441, 267, 971, 607, 2123, 5945, 547, 30240, 7264, 1813, 547, 3037, 12526, 543, 15780, 5533, 563, 4322, 5686, 540, 2825, 6142, 616, 711, 4122, 5833, 1317, 519, 6142, 2139, 568, 3908, 543, 519, 14167, 338, 616, 7199, 563, 763, 2825, 3454, 3609, 1210, 9204, 568, 1869, 1373, 2919, 543, 834, 307, 1314, 585, 8693, 7827, 14600, 12720, 257, 630, 320, 3327, 3454, 1070, 13389, 19020, 543, 15568, 2472, 267, 31529, 8652, 21666, 543, 5755, 267, 814, 1044, 7930, 24451, 2094, 5239, 476, 1001, 273, 269, 901, 3454, 786, 5555, 581, 6976, 538, 1840, 547, 19386, 543, 5755, 3454, 269, 634, 1699, 2557, 568, 31179, 312, 31318, 585, 19020, 543, 15568, 2472, 829, 4893, 7035, 516, 267, 31179, 312, 278, 3199, 585, 31529, 8652, 21666, 829, 9522, 928, 267, 543, 31179, 312, 277, 3583, 585, 5755, 829, 9522, 928, 563, 1607, 21259, 568, 513, 1101, 1900, 2509, 10962, 513, 3327, 3454, 269, 898, 568, 6059, 602, 2910, 273, 5786, 786, 581, 476, 271, 269, 276, 260, 547, 476, 273, 269, 273, 260, 538, 476, 1708, 271, 3379, 547, 476, 1960, 271, 563, 4263, 1459, 267, 972, 616, 930, 2199, 6608, 602, 20818, 2825, 9204, 607, 2143, 2630, 563, 26581, 7434, 3653, 3454, 454, 1607, 3454, 814, 1044, 5189, 538, 1082, 840, 2739, 999, 269, 898, 6663, 547, 2569, 519, 4320, 540, 4853, 3653, 26356, 540, 693, 3803, 12871, 4609, 267, 543, 2061, 1102, 869, 338, 540, 4853, 3653, 689, 824, 840, 2739, 999, 267, 676, 12123, 3454, 1759, 593, 519, 4320, 540, 519, 4853, 3653, 26356, 540, 693, 519, 4609, 563, 307, 1314, 15668, 269, 634, 3454, 2628, 619, 8428, 538, 1142, 840, 2739, 675, 269, 769, 519, 670, 30090, 840, 2739, 675, 267, 3454, 2628, 619, 616, 1870, 12427, 17579, 532, 267, 610, 10827, 2299, 8741, 532, 540, 267, 4853, 3653, 602, 729, 5645, 547, 3803, 12871, 4609, 4092, 538, 670, 30090, 563, 307, 1314, 3928, 269, 634, 3454, 3928, 8428, 538, 1142, 840, 2739, 675, 269, 1717, 267, 1082, 840, 2739, 999, 7017, 593, 3454, 3928, 693, 31179, 312, 1911, 271, 829, 9522, 928, 540, 4853, 3653, 563, 763, 4279, 5101, 3567, 32495, 820, 454, 763, 4279, 5101, 3567, 32495, 820, 7018, 593, 476, 1556, 4728, 476, 1001, 272, 267, 4929, 513, 6046, 8009, 693, 519, 30738, 2313, 9874, 6046, 1379, 2030, 269, 634, 2973, 5346, 540, 519, 6299, 1076, 543, 519, 8851, 540, 14599, 6878, 689, 519, 3037, 568, 1869, 519, 1292, 2825, 3390, 693, 1459, 269, 634, 2229, 814, 3964, 513, 1007, 2920, 593, 2027, 3800, 602, 8078, 525, 519, 2229, 547, 1489, 2199, 6608, 262, 3646, 547, 2973, 909, 519, 6299, 1076, 543, 3653, 3361, 676, 519, 13091, 269, 769, 3210, 547, 13668, 689, 519, 4143, 949, 832, 540, 25772, 267, 519, 2229, 666, 1491, 5539, 585, 519, 2973, 5346, 540, 519, 6299, 1076, 543, 3653, 267, 3079, 540, 519, 25772, 563, 4415, 2543, 547, 3037, 267, 1776, 2920, 593, 2027, 3800, 8078, 525, 519, 2229, 547, 1374, 622, 2127, 26130, 676, 14599, 6878, 693, 513, 1978, 1377, 543, 4894, 971, 6878, 538, 519, 11280, 2127, 269, 1306, 713, 6046, 8009, 814, 2016, 4473, 547, 22027, 827, 519, 3354, 540, 6046, 1379, 2371, 267, 519, 13319, 540, 519, 946, 540, 7791, 1648, 568, 2693, 547, 2333, 267, 5473, 519, 3049, 2987, 13545, 858, 10325, 630, 5408, 7726, 476, 279, 1916, 7093, 16227, 267, 3800, 547, 2061, 2825, 5533, 676, 14599, 6878, 941, 9138, 538, 519, 26994, 6052, 9978, 2920, 267, 855, 1631, 519, 6604, 540, 2825, 5533, 676, 14599, 6878, 568, 3177, 585, 538, 519, 5113, 9978, 2920, 269, 11374, 519, 17203, 540, 519, 5113, 9978, 2920, 267, 519, 4826, 21694, 6513, 4521, 267, 519, 5794, 21694, 6513, 4521, 543, 519, 7025, 8177, 10495, 4521, 941, 29567, 267, 543, 824, 2825, 4031, 616, 4867, 896, 2689, 585, 22853, 563, 3725, 341, 2888, 540, 6406, 8943, 454, 763, 6406, 8943, 568, 1305, 547, 10929, 922, 1101, 2101, 26941, 2094, 621, 729, 21892, 538, 476, 6245, 277, 538, 2127, 1644, 547, 1870, 2238, 543, 1004, 781, 3232, 2729, 269, 634, 10456, 12080, 31751, 9086, 547, 18985, 519, 3009, 543, 11643, 621, 547, 519, 10791, 538, 476, 1001, 277, 269, 898, 568, 4867, 896, 4901, 538, 519, 10791, 269, 3776, 4267, 1657, 616, 1759, 593, 519, 1699, 3009, 269, 1403, 519, 3915, 568, 5293, 543, 3587, 2500, 267, 938, 4267, 1657, 786, 723, 547, 581, 12649, 896, 519, 15428, 3009, 563, 763, 9431, 6392, 454, 14737, 3588, 540, 519, 5113, 454, 14611, 2238, 269, 634, 12080, 540, 519, 5113, 4249, 513, 2101, 1909, 538, 519, 2825, 7245, 543, 814, 12600, 16278, 936, 6927, 5473, 3653, 267, 2825, 5533, 267, 2067, 5726, 543, 7320, 4027, 269, 634, 12080, 814, 4745, 16278, 609, 824, 1295, 31559, 936, 824, 2825, 2152, 563, 14737, 3588, 540, 519, 5113, 454, 20373, 269, 634, 12080, 540, 519, 5113, 2488, 6054, 1644, 547, 519, 2518, 1604, 267, 3653, 267, 2011, 543, 6283, 267, 1216, 270, 31542, 270, 3033, 1604, 267, 1072, 543, 6464, 267, 2470, 543, 11614, 267, 543, 865, 593, 563, 14737, 3588, 540, 19004, 267, 11780, 543, 12752, 630, 10933, 2316, 994, 20373, 269, 24722, 3896, 540, 519, 12080, 540, 19004, 267, 11780, 543, 12752, 630, 10933, 2316, 1040, 19294, 2316, 849, 2488, 6054, 1644, 547, 519, 13319, 540, 7791, 1648, 538, 3567, 267, 1294, 281, 8940, 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 ]
[ 0, 268, 7066, 526, 532, 595, 20975, 454, 268, 4578, 12856, 454, 268, 21952, 3590, 454, 268, 595, 14691, 454, 268, 29120, 7335, 454, 268, 772, 28903, 594, 3008, 1401, 4461, 11872, 454, 268, 3763, 518, 781, 7454, 13756, 454, 268, 5999, 543, 12226, 454, 268, 13229, 1763, 2541, 5675, 454, 268, 15679, 19877, 5999, 454, 268, 8950, 3794, 27443, 454, 268, 5808, 568, 5808, 454, 1432, 568, 3281, 9426, 13281, 286, 630, 20007, 2294, 267, 7151, 4530, 27418, 994, 2918, 700, 624, 999, 476, 272, 269, 276, 3108, 454, 736, 700, 624, 999, 476, 273, 269, 276, 3108, 454, 15253, 9426, 4152, 568, 513, 1016, 2275, 14394, 540, 3301, 4152, 538, 799, 1142, 1367, 5057, 540, 519, 3301, 568, 14384, 7318, 1510, 10128, 609, 824, 3334, 269, 898, 568, 849, 1634, 607, 9074, 4152, 267, 950, 9763, 689, 606, 6189, 5133, 563, 288, 3301, 267, 538, 2489, 267, 568, 1500, 909, 540, 1896, 3334, 269, 3281, 9426, 4152, 9607, 891, 3334, 14350, 269, 898, 568, 835, 540, 519, 1034, 7928, 1826, 540, 3109, 4216, 4152, 269, 898, 568, 3622, 5340, 676, 519, 1627, 288, 630, 26660, 2667, 4269, 264, 2319, 563, 15253, 9426, 4152, 3340, 513, 1449, 4640, 543, 1449, 1544, 267, 1141, 649, 2015, 1142, 851, 540, 519, 3301, 14350, 269, 1284, 5581, 513, 1449, 9183, 585, 1142, 5057, 267, 799, 568, 2417, 5258, 883, 1164, 1377, 1449, 2665, 267, 1970, 1377, 2143, 1449, 2665, 609, 23944, 28987, 563, 16215, 4152, 568, 3622, 2944, 676, 9367, 267, 1247, 5057, 4152, 568, 2944, 676, 512, 22246, 269, 3281, 9426, 4152, 568, 2944, 1310, 1770, 4152, 568, 4625, 5340, 676, 519, 3384, 2319, 269, 901, 1628, 568, 1634, 607, 29031, 630, 16215, 13281, 264, 1628, 269, 769, 713, 5123, 267, 519, 512, 22246, 1449, 782, 519, 2101, 29782, 540, 519, 3301, 3334, 563, 22209, 787, 7355, 585, 5057, 4152, 281, 634, 5934, 1297, 540, 3334, 602, 616, 3769, 538, 519, 29031, 1590, 581, 2919, 543, 7318, 998, 1770, 4152, 563, 2750, 527, 7355, 585, 5057, 4152, 281, 476, 272, 264, 519, 29782, 540, 782, 519, 3334, 1590, 581, 2324, 607, 4397, 282, 476, 273, 264, 972, 1058, 581, 1100, 2565, 267, 1164, 267, 5420, 10335, 543, 10862, 8919, 11486, 1872, 2451, 538, 519, 3301, 454, 29020, 540, 3281, 9426, 13281, 454, 763, 3119, 6662, 540, 7900, 5057, 4152, 568, 547, 2638, 2436, 519, 3403, 270, 16059, 7180, 540, 519, 1449, 1843, 610, 5057, 568, 2324, 607, 4397, 269, 3281, 9426, 4152, 5849, 602, 519, 10342, 540, 519, 5057, 568, 2324, 5265, 543, 607, 9138, 563, 2414, 2569, 4220, 6567, 3281, 9426, 4152, 4570, 919, 1142, 5057, 540, 519, 3301, 543, 2337, 2697, 12961, 538, 519, 3301, 3009, 543, 4368, 873, 563, 20524, 12961, 538, 519, 5057, 6567, 3281, 9426, 4152, 2337, 2697, 12961, 538, 519, 2707, 3009, 540, 519, 3301, 269, 4746, 267, 621, 4570, 919, 1852, 2095, 267, 3252, 267, 1239, 2497, 267, 3092, 1421, 1031, 538, 519, 1982, 563, 11749, 28371, 519, 6198, 607, 1134, 607, 1875, 1922, 23341, 2773, 540, 519, 5057, 6567, 3281, 9426, 4152, 5849, 602, 519, 1062, 1374, 543, 16551, 616, 7900, 607, 4397, 543, 9138, 563, 2414, 2087, 2298, 540, 519, 5057, 6567, 3281, 9426, 4152, 568, 1898, 538, 3384, 543, 4509, 6015, 538, 519, 3334, 282, 7864, 12961, 538, 519, 3606, 4152, 282, 3976, 267, 5355, 519, 2298, 540, 519, 3301, 563, 2414, 2061, 12961, 689, 29400, 547, 2362, 4152, 2157, 6567, 3763, 619, 2697, 519, 8193, 6959, 543, 4368, 873, 607, 2038, 607, 2009, 269, 4935, 267, 621, 2569, 519, 6228, 540, 12961, 538, 519, 2362, 2157, 540, 4152, 563, 19152, 338, 538, 3281, 9426, 13281, 454, 763, 3119, 11378, 547, 5057, 4152, 616, 6567, 454, 268, 4530, 1544, 454, 268, 3590, 4170, 454, 268, 3281, 9426, 16551, 454, 268, 3281, 9426, 30582, 454, 20007, 2294, 540, 3281, 9426, 13281, 454, 2467, 616, 1079, 2553, 540, 3281, 9426, 13281, 6567, 454, 268, 595, 2316, 306, 630, 15253, 9426, 13281, 538, 9540, 994, 268, 595, 2316, 299, 630, 15253, 9426, 13281, 538, 14066, 994, 15253, 9426, 4152, 666, 581, 13401, 609, 610, 1510, 19459, 519, 3301, 3334, 269, 1879, 519, 4152, 568, 5340, 676, 5248, 908, 824, 3334, 267, 621, 568, 1634, 607, 595, 2316, 306, 563, 2690, 1383, 267, 2015, 513, 3896, 609, 2947, 1357, 3817, 269, 4935, 267, 10442, 610, 4152, 1142, 971, 1357, 2985, 10446, 676, 19459, 610, 5248, 908, 824, 3334, 568, 5057, 4152, 538, 1507, 563, 9336, 3301, 814, 1082, 3334, 267, 543, 1346, 3334, 723, 741, 1378, 1016, 16327, 7859, 269, 13281, 1142, 5057, 1510, 5610, 609, 824, 3334, 568, 1572, 5057, 4152, 538, 1507, 563, 15253, 9426, 4152, 1510, 19459, 519, 3301, 3334, 568, 1634, 607, 5057, 4152, 538, 1804, 269, 1280, 1383, 267, 2015, 606, 3498, 9967, 540, 1614, 3334, 1107, 3281, 9426, 589, 267, 3281, 9426, 645, 267, 543, 3281, 9426, 595, 563, 763, 17354, 945, 2919, 3281, 9426, 645, 6499, 621, 7318, 269, 1717, 267, 1906, 29782, 540, 3281, 9426, 645, 616, 8200, 593, 3281, 9426, 589, 543, 3281, 9426, 595, 269, 4256, 10342, 2095, 568, 589, 15010, 289, 15010, 290, 269, 634, 1572, 1599, 568, 5219, 547, 607, 20839, 267, 1247, 519, 10912, 1599, 607, 9920, 563, 4913, 267, 519, 824, 1079, 3334, 1107, 589, 543, 595, 616, 711, 2943, 2919, 269, 1924, 267, 547, 1449, 3281, 9426, 645, 267, 649, 5372, 3281, 9426, 589, 543, 3281, 9426, 595, 676, 20839, 543, 9920, 267, 799, 786, 581, 938, 546, 16244, 1843, 11489, 519, 1079, 3334, 616, 2965, 2919, 563, 1805, 889, 568, 602, 3301, 5057, 602, 568, 547, 581, 7318, 267, 1247, 30905, 568, 602, 5057, 602, 7125, 519, 20839, 267, 1775, 4318, 1421, 519, 5057, 547, 581, 7318, 563, 31088, 540, 3281, 9426, 13281, 454, 26473, 790, 618, 5811, 6567, 769, 519, 1101, 3942, 267, 649, 2697, 3593, 4170, 2404, 609, 1142, 5057, 563, 14818, 4643, 6567, 769, 713, 3942, 267, 649, 1374, 4255, 547, 6218, 519, 3593, 4170, 563, 14818, 10410, 2305, 6567, 769, 713, 3942, 267, 649, 2697, 519, 1449, 2665, 2877, 547, 581, 13401, 543, 1346, 602, 666, 581, 14406, 563, 14818, 23840, 6567, 769, 713, 3942, 267, 649, 2697, 519, 4255, 607, 829, 3593, 4170, 267, 547, 2936, 519, 4255, 563, 14818, 5589, 1800, 6567, 769, 713, 3942, 267, 649, 2594, 543, 2689, 519, 12961, 4857, 1282, 519, 3105, 1449, 6388, 3942, 563, 14818, 7638, 2305, 6567, 769, 713, 3942, 267, 649, 13182, 952, 519, 3301, 10742, 519, 16551, 610, 711, 563, 4467, 921, 5406, 6567, 2991, 782, 519, 1657, 3670, 5933, 616, 6707, 6192, 267, 649, 4283, 519, 2063, 3942, 540, 519, 5057, 4152, 269, 3371, 267, 649, 6218, 519, 2164, 547, 5838, 513, 2298, 1587, 563, 7078, 4530, 27418, 540, 3281, 9426, 13281, 454, 13706, 1079, 1114, 1357, 3817, 267, 954, 22366, 547, 1142, 824, 538, 2474, 540, 741, 10342, 563, 16158, 2985, 476, 272, 568, 21189, 2985, 269, 1879, 596, 4283, 513, 4570, 3593, 268, 573, 543, 10957, 538, 519, 1257, 2361, 267, 543, 4945, 519, 10505, 7735, 267, 519, 1357, 2985, 786, 6330, 547, 519, 1753, 2985, 563, 16158, 2985, 476, 273, 568, 519, 1753, 2985, 269, 3371, 267, 21189, 568, 835, 5057, 543, 1753, 2985, 568, 1776, 5057, 269, 13281, 1142, 1367, 2985, 14384, 568, 1572, 5057, 4152, 563, 9928, 523, 926, 657, 1247, 5057, 4152, 1357, 2985, 476, 272, 454, 11767, 606, 23380, 3593, 268, 573, 547, 2638, 952, 519, 1062, 1402, 338, 909, 543, 9963, 547, 519, 3593, 563, 11767, 606, 23380, 3593, 268, 573, 543, 10957, 267, 4945, 593, 968, 305, 2464, 4953, 892, 543, 2638, 952, 519, 1239, 9411, 538, 1257, 4610, 268, 14871, 2839, 543, 10426, 5320, 267, 1205, 23498, 856, 610, 711, 563, 11767, 513, 4570, 3593, 268, 573, 543, 10957, 1287, 267, 4945, 593, 519, 968, 299, 8104, 2562, 892, 7735, 563, 9928, 523, 926, 657, 1247, 5057, 4152, 1357, 2985, 476, 273, 454, 13425, 2436, 1022, 10950, 5048, 568, 10268, 593, 519, 1753, 2985, 563, 13425, 952, 519, 6402, 593, 519, 2451, 2427, 540, 519, 1357, 2985, 666, 581, 4945, 539, 610, 711, 563, 13425, 952, 519, 9614, 7329, 568, 10268, 538, 519, 1647, 540, 519, 1357, 2985, 563, 16215, 13281, 25966, 3281, 9426, 13281, 454, 763, 1739, 3349, 8711, 519, 3604, 1063, 5149, 13281, 543, 3281, 9426, 13281, 6567, 454, 347, 16215, 13281, 1475, 15253, 9426, 13281, 2008, 347, 14818, 532, 540, 1367, 3292, 267, 13838, 547, 13182, 602, 789, 14892, 607, 829, 519, 16551, 1475, 14818, 532, 540, 1142, 1843, 610, 5057, 540, 519, 3301, 14350, 609, 610, 1510, 5248, 908, 824, 3334, 2008, 347, 11749, 573, 919, 1374, 6054, 1475, 11749, 573, 919, 1449, 4170, 267, 543, 946, 2665, 2008, 347, 8110, 11526, 676, 9367, 1475, 8110, 11526, 676, 512, 22246, 2008, 347, 2005, 568, 5340, 1101, 1475, 2005, 568, 5340, 1310, 519, 12032, 540, 1770, 4152, 2008, 3963, 568, 3281, 9426, 13281, 1271, 888, 19547, 9229, 6268, 6567, 3281, 9426, 4152, 540, 1142, 1367, 5057, 6087, 519, 2143, 6268, 1310, 782, 519, 3334, 723, 1044, 9715, 269, 1284, 666, 1449, 585, 782, 519, 2009, 12961, 593, 1483, 1357, 13763, 269, 634, 1482, 568, 711, 2009, 585, 5149, 4152, 267, 1141, 649, 798, 711, 1449, 1142, 1770, 593, 2661, 13763, 563, 15900, 645, 1872, 22384, 6567, 3281, 9426, 4152, 666, 581, 13401, 693, 1022, 3942, 267, 865, 649, 666, 2697, 543, 4368, 17079, 19692, 269, 898, 17990, 721, 2724, 267, 4674, 543, 942, 269, 898, 849, 6087, 519, 3384, 2319, 547, 1449, 519, 3301, 3334, 585, 782, 519, 28824, 12961, 270, 3698, 31637, 1354, 1688, 532, 621, 936, 547, 519, 1627, 288, 2319, 563, 290, 1068, 1881, 20260, 6567, 3281, 9426, 4152, 2337, 721, 5909, 1518, 519, 4579, 282, 5057, 4152, 568, 6325, 269, 898, 568, 519, 1655, 2009, 1259, 547, 19472, 938, 9074, 610, 5057, 267, 547, 5838, 519, 3301, 607, 9138, 269, 4746, 267, 3301, 666, 581, 7471, 1510, 1022, 8969, 563, 15253, 9426, 4152, 568, 519, 3169, 543, 519, 1655, 1259, 649, 666, 7447, 519, 8647, 540, 513, 9074, 610, 5057, 540, 513, 3301, 693, 1022, 3942, 540, 922, 1646, 269, 898, 568, 1942, 22766, 543, 849, 17990, 11991, 4674, 693, 2104, 5933, 676, 14874, 782, 2057, 762, 12961, 563, 15253, 9426, 4152, 568, 5340, 1310, 519, 1770, 4152, 568, 6192, 269, 634, 8545, 568, 5340, 676, 9367, 267, 1247, 519, 5449, 568, 5340, 676, 512, 22246, 269, 3281, 9426, 4152, 1590, 2141, 581, 5340, 1354, 5610, 4152, 269, 5221, 952, 519, 5449, 568, 4977, 267, 1287, 649, 666, 2697, 1256, 519, 5634, 12889, 1282, 5610, 4152, 269, 3281, 9426, 4152, 5849, 602, 1142, 5057, 540, 519, 3301, 568, 8647, 607, 4397, 543, 607, 9138, 563, 268, 1548, 568, 513, 3281, 9426, 13281, 286, 630, 20007, 2294, 267, 7151, 4530, 27418, 994, 268, 1548, 568, 4762, 580, 4851, 13281, 286, 7151, 4530, 27418, 454, 268, 1548, 568, 20134, 13281, 263, 14818, 2665, 609, 7151, 25145, 268, 1548, 568, 7358, 1049, 20504, 766, 13281, 630, 302, 2969, 21663, 7151, 4530, 27418, 454, 268, 1548, 568, 10871, 1436, 13281, 286, 7151, 4530, 27418, 1299, 6744, 4289, 454, 268, 32237, 19835, 3118, 13281, 609, 7151, 4530, 27418, 454, 268, 13648, 773, 13281, 281, 7151, 4530, 27418, 585, 19534, 454, 268, 1548, 568, 22953, 13281, 286, 630, 14240, 267, 4530, 27418, 267, 6201, 994, 268, 1548, 568, 20121, 10614, 13281, 263, 20007, 2294, 267, 10613, 267, 7151, 25145, 268, 1548, 568, 25674, 13281, 286, 630, 15650, 267, 9828, 267, 7151, 994, 268, 1548, 568, 4563, 13340, 13281, 286, 630, 20007, 2294, 267, 7151, 267, 9537, 994, 268, 1548, 568, 13106, 23585, 26275, 13281, 630, 302, 2969, 306, 21663, 630, 307, 8962, 267, 9828, 267, 7151, 994, 268, 1548, 568, 5484, 577, 5658, 13281, 286, 630, 14818, 4643, 267, 13088, 267, 7151, 994, 268, 1548, 568, 5484, 577, 5658, 13281, 538, 12229, 13281, 286, 630, 14818, 4643, 267, 13088, 267, 7151, 994, 268, 1548, 568, 6519, 13340, 13281, 286, 9828, 267, 7151, 267, 9537, 1299, 13088, 0, 21848, 540, 744, 985, 564, 543, 18067, 766, 538, 519, 14893, 540, 13595, 1323, 777, 1817, 545, 20905, 281, 24951, 715, 2510, 543, 14033, 9539, 2510, 540, 5565, 715, 1638, 4149, 889, 915, 19932, 454, 293, 3224, 4536, 538, 10017, 476, 280, 630, 1001, 280, 994, 20082, 1607, 2376, 814, 1100, 2404, 7493, 269, 630, 25785, 621, 994, 3849, 4765, 547, 26076, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8876, 13676, 1268, 1310, 519, 2069, 729, 3648, 2799, 538, 1312, 2516, 269, 5047, 267, 519, 2773, 538, 1697, 1259, 547, 6512, 720, 267, 1799, 984, 559, 1944, 13676, 1858, 543, 1697, 2081, 540, 8876, 13676, 1268, 1310, 3872, 1576, 729, 3648, 2362, 538, 4730, 1909, 1895, 3379, 547, 7898, 1005, 1895, 1310, 2069, 269, 9459, 568, 513, 3384, 2197, 609, 513, 1762, 5108, 543, 621, 568, 513, 2197, 609, 1164, 1981, 540, 2067, 12469, 282, 865, 267, 3246, 2556, 2069, 609, 811, 2500, 2409, 666, 581, 2500, 538, 4227, 9019, 543, 24896, 1813, 547, 3668, 540, 1101, 5351, 1416, 538, 2629, 8090, 269, 9751, 609, 4730, 1909, 568, 6700, 585, 713, 3483, 563, 22977, 626, 2438, 4978, 616, 2043, 262, 4978, 827, 519, 2470, 540, 1702, 267, 875, 1702, 568, 9112, 267, 543, 875, 1702, 666, 581, 20582, 269, 901, 1353, 6964, 513, 6404, 2173, 1385, 338, 1935, 547, 4983, 281, 630, 320, 264, 1647, 543, 1164, 1153, 1053, 262, 1582, 3146, 19959, 19815, 2438, 4978, 630, 31642, 5511, 264, 543, 19815, 2438, 4978, 7000, 689, 2259, 630, 23974, 5511, 264, 1282, 513, 1966, 2861, 267, 3621, 14374, 1770, 267, 630, 321, 264, 1215, 798, 1647, 543, 1164, 1153, 1053, 262, 19815, 2438, 4978, 3565, 547, 519, 4070, 540, 1053, 262, 1966, 6061, 3157, 267, 543, 630, 322, 264, 875, 543, 1946, 798, 1053, 262, 19815, 2438, 4978, 1689, 676, 2502, 538, 623, 13993, 269, 26062, 14633, 1647, 543, 1164, 1153, 1053, 15548, 538, 513, 4832, 2257, 1362, 547, 8495, 2199, 1216, 2298, 538, 513, 476, 273, 22173, 1279, 1966, 2861, 1565, 630, 303, 13993, 264, 1770, 269, 634, 1053, 5249, 538, 1507, 2516, 547, 2932, 1216, 2298, 4255, 693, 538, 741, 2199, 24659, 543, 10272, 1896, 8639, 585, 741, 7634, 269, 2776, 11687, 543, 2022, 11687, 8747, 540, 519, 9210, 626, 655, 1670, 27801, 338, 7726, 32666, 941, 5342, 547, 2708, 1053, 262, 1582, 3146, 19959, 19815, 2438, 4978, 1354, 543, 1310, 519, 1770, 269, 594, 2756, 582, 9464, 543, 26906, 1614, 2516, 540, 1053, 1282, 519, 1770, 543, 5342, 11407, 2079, 547, 4983, 741, 19815, 2438, 4978, 7000, 689, 3621, 14374, 2238, 543, 2468, 836, 3634, 609, 741, 1582, 3146, 19959, 1239, 269, 1703, 616, 1614, 1292, 4681, 689, 713, 1353, 269, 3689, 267, 1053, 538, 713, 1353, 1582, 3146, 19959, 5266, 10427, 19815, 2438, 4978, 593, 519, 5910, 652, 269, 1717, 267, 519, 6476, 1063, 741, 1582, 3146, 19959, 4978, 543, 4978, 7000, 689, 2259, 8612, 602, 930, 1053, 941, 2111, 547, 4019, 10427, 4978, 1282, 519, 1770, 1247, 1866, 8959, 547, 798, 865, 269, 634, 24081, 1890, 1063, 891, 1079, 2010, 540, 19815, 2438, 4978, 949, 1813, 547, 1053, 262, 16283, 5042, 2702, 267, 1970, 14496, 540, 1582, 3146, 1636, 2268, 267, 543, 519, 3310, 540, 13865, 2188, 269, 5822, 267, 12007, 2079, 8612, 602, 1053, 262, 19815, 2438, 4978, 540, 519, 2470, 540, 6616, 6766, 741, 1966, 454, 11947, 2773, 3506, 616, 6703, 602, 2087, 519, 1565, 1604, 1247, 9494, 1648, 267, 2200, 267, 543, 2724, 269, 634, 1883, 568, 1620, 519, 10715, 1871, 540, 1164, 2773, 3506, 543, 3927, 5883, 14422, 267, 942, 267, 543, 6578, 563, 301, 935, 1206, 320, 267, 966, 639, 636, 17844, 20307, 282, 1744, 3518, 320, 267, 1325, 3000, 454, 2171, 8179, 547, 8495, 519, 2470, 267, 3123, 543, 2360, 540, 1153, 5208, 538, 2185, 3162, 3979, 1164, 3506, 269, 589, 1625, 1842, 633, 3732, 540, 2947, 21246, 1023, 267, 476, 3199, 6267, 543, 476, 736, 7855, 729, 5697, 689, 519, 2185, 3506, 1031, 538, 519, 1353, 269, 589, 18615, 6404, 1505, 1935, 729, 1031, 538, 713, 1353, 282, 1312, 26830, 543, 11042, 941, 1031, 269, 634, 1374, 7498, 289, 537, 3832, 267, 667, 5919, 667, 612, 541, 576, 267, 681, 5919, 22985, 267, 808, 5919, 21502, 619, 577, 267, 590, 563, 763, 29297, 5328, 2409, 1450, 721, 547, 12337, 519, 5872, 540, 1164, 4908, 13590, 6329, 609, 3889, 269, 2991, 606, 7291, 540, 741, 13210, 609, 8561, 593, 519, 22762, 3740, 3069, 540, 32250, 267, 621, 568, 3254, 875, 547, 946, 891, 2409, 547, 6218, 519, 16986, 3444, 3296, 630, 305, 5425, 264, 540, 1950, 2468, 8820, 3615, 540, 1390, 2450, 3379, 547, 519, 5951, 27480, 269, 634, 1114, 5933, 538, 1138, 6819, 9259, 799, 3565, 547, 519, 681, 5425, 616, 12649, 281, 2168, 3069, 540, 32250, 267, 2789, 4205, 17223, 676, 15246, 12345, 267, 1382, 585, 1212, 9429, 12345, 269, 630, 10461, 1040, 476, 278, 1201, 338, 1421, 476, 277, 4453, 338, 1421, 476, 274, 1202, 1115, 454, 27879, 267, 19626, 282, 654, 3739, 5069, 267, 654, 754, 344, 454, 22998, 609, 1079, 3610, 543, 13977, 21144, 1164, 1153, 20650, 267, 519, 4589, 2919, 5773, 543, 10526, 547, 4001, 7881, 538, 606, 1977, 1164, 1153, 524, 643, 923, 1362, 269, 901, 1935, 3340, 1164, 1153, 1053, 547, 3605, 606, 6876, 610, 19427, 1063, 23006, 1014, 7881, 543, 16495, 7881, 269, 634, 4589, 849, 2813, 606, 6293, 547, 2268, 7498, 294, 559, 332, 712, 267, 9478, 661, 1421, 12789, 5919, 1656, 11524, 454, 763, 2852, 5542, 1184, 1031, 676, 1164, 1153, 1053, 729, 6594, 543, 513, 17565, 602, 6257, 519, 1184, 729, 2919, 267, 1759, 593, 6725, 3069, 7282, 7082, 2623, 269, 10021, 3320, 2852, 4195, 5443, 543, 1164, 1153, 20650, 941, 26906, 267, 543, 513, 1906, 1164, 1153, 15118, 12542, 543, 5580, 7400, 2852, 1053, 941, 23500, 547, 3313, 7498, 17359, 7956, 12232, 634, 6859, 540, 519, 1382, 616, 547, 3313, 519, 2360, 540, 3450, 2409, 630, 4306, 4696, 543, 795, 12127, 1177, 543, 1565, 6163, 630, 6665, 783, 267, 17391, 267, 543, 10252, 20469, 593, 1053, 685, 2296, 9740, 269, 901, 1382, 568, 606, 8097, 1353, 5342, 693, 28133, 4400, 3427, 17131, 836, 10798, 340, 538, 476, 1001, 275, 609, 476, 22659, 3732, 799, 568, 5697, 14404, 1881, 268, 12690, 569, 630, 333, 815, 476, 6924, 269, 634, 2164, 540, 519, 1382, 616, 607, 1246, 281, 630, 272, 2296, 9740, 540, 1053, 6026, 609, 5254, 4696, 568, 1732, 982, 1346, 540, 6026, 609, 795, 12127, 1177, 282, 630, 273, 972, 568, 1100, 1713, 3017, 538, 2296, 9740, 1851, 3308, 267, 17391, 267, 543, 10252, 20469, 1053, 282, 630, 274, 972, 568, 1022, 1713, 1198, 540, 5872, 1851, 3450, 1505, 543, 1565, 6163, 593, 1053, 685, 1565, 2296, 9740, 269, 634, 1382, 849, 1265, 856, 602, 585, 3308, 1053, 267, 4974, 2296, 9740, 540, 1053, 6026, 609, 5254, 4696, 568, 1732, 982, 602, 540, 1053, 6026, 609, 795, 12127, 1177, 282, 585, 17391, 1053, 267, 1565, 2296, 9740, 540, 1053, 6026, 609, 795, 12127, 1177, 568, 1732, 982, 602, 540, 1053, 6026, 609, 5254, 4696, 282, 543, 585, 10252, 20469, 1053, 267, 2296, 9740, 540, 1053, 6026, 609, 5254, 4696, 568, 1732, 982, 602, 540, 1053, 6026, 609, 795, 12127, 1177, 269, 1677, 2040, 909, 267, 5254, 4696, 568, 811, 2500, 982, 795, 12127, 1177, 538, 5355, 1053, 685, 2296, 9740, 269, 5254, 4696, 568, 5078, 547, 2087, 2296, 9740, 540, 3308, 543, 10252, 20469, 1053, 267, 543, 795, 12127, 1177, 568, 5078, 547, 2087, 2296, 9740, 540, 17391, 1053, 563, 291, 27927, 11627, 320, 13022, 571, 1488, 636, 454, 17359, 7956, 12232, 1323, 2500, 6340, 2534, 3322, 3742, 1053, 547, 7119, 543, 1711, 513, 1272, 2792, 269, 634, 4998, 2783, 540, 2296, 6340, 1362, 3322, 519, 1053, 8072, 7145, 538, 10283, 3450, 543, 1565, 1184, 269, 11048, 267, 930, 2042, 616, 7153, 543, 835, 540, 873, 568, 602, 789, 1419, 1205, 8401, 547, 3717, 538, 4395, 540, 1082, 1004, 950, 789, 616, 4280, 547, 1459, 741, 960, 547, 741, 2828, 269, 901, 1957, 8761, 606, 4603, 1353, 538, 3450, 6340, 538, 513, 9972, 1164, 1153, 538, 19681, 784, 534, 267, 5101, 10084, 269, 898, 11828, 827, 519, 7145, 540, 18756, 3450, 1505, 1634, 607, 23132, 795, 12127, 1177, 2319, 3785, 538, 3450, 6340, 269, 2353, 20870, 3446, 1053, 941, 1031, 607, 519, 2551, 543, 32210, 1053, 941, 3144, 607, 3732, 1373, 5258, 883, 8097, 1895, 6026, 1210, 23132, 795, 12127, 1177, 2319, 3785, 543, 1852, 1895, 6026, 1210, 1463, 6044, 269, 1849, 13831, 4351, 10386, 729, 4294, 607, 519, 4480, 547, 3313, 3732, 269, 1677, 3489, 519, 1239, 540, 1053, 8072, 6340, 6060, 267, 513, 6340, 1449, 729, 5342, 269, 634, 6060, 729, 519, 3328, 6060, 8507, 676, 1079, 4830, 981, 29794, 269, 634, 1239, 941, 21845, 998, 10855, 543, 1102, 22460, 2079, 1210, 1079, 1606, 2217, 512, 23150, 269, 634, 1382, 24370, 2213, 602, 23132, 795, 12127, 1177, 786, 1267, 513, 1732, 2296, 6340, 6060, 2864, 982, 1463, 6044, 1505, 269, 634, 1382, 4466, 1210, 476, 4817, 260, 4644, 1377, 2982, 602, 23132, 795, 12127, 1177, 2319, 3785, 729, 811, 2500, 538, 3450, 6340, 3379, 547, 1463, 6044, 585, 519, 20870, 3446, 1053, 1317, 519, 2238, 538, 23132, 795, 12127, 1177, 2319, 1788, 14593, 519, 1053, 547, 581, 811, 3742, 543, 18756, 538, 1565, 6340, 563, 309, 643, 23383, 11860, 656, 528, 267, 1325, 3570, 631, 5919, 744, 3149, 523, 267, 14667, 744, 6557, 531, 2917, 282, 32365, 267, 8861, 454, 289, 19272, 294, 4629, 26685, 24635, 6580, 5208, 630, 31813, 309, 264, 11874, 5222, 1072, 267, 2790, 543, 2168, 1134, 5630, 267, 543, 1153, 2773, 269, 631, 24518, 7495, 306, 4578, 689, 513, 25422, 11347, 3732, 540, 1164, 1153, 1053, 10283, 538, 519, 15544, 585, 8376, 6513, 543, 10644, 630, 24922, 264, 685, 338, 476, 1001, 274, 15272, 11485, 10263, 11752, 630, 312, 305, 7034, 264, 616, 1031, 547, 6542, 12205, 540, 2168, 543, 4638, 570, 291, 309, 609, 1153, 5208, 5829, 2833, 543, 5615, 267, 1519, 11648, 6408, 1436, 269, 645, 21725, 543, 14661, 3023, 268, 1598, 520, 1881, 1036, 11306, 12290, 3347, 1063, 570, 291, 309, 543, 1153, 5208, 5829, 2833, 543, 5615, 269, 19419, 8085, 4811, 22702, 547, 1053, 711, 8989, 570, 291, 309, 267, 1346, 7680, 1312, 2168, 543, 4638, 570, 291, 309, 941, 811, 2693, 547, 1867, 8876, 513, 14049, 693, 1153, 267, 7508, 1153, 1317, 789, 5433, 22247, 267, 1373, 12219, 610, 13676, 609, 513, 14049, 593, 1153, 3959, 267, 2348, 513, 2168, 4339, 693, 1153, 267, 543, 1373, 13032, 1221, 593, 1153, 3959, 269, 12164, 12710, 4785, 12778, 306, 3427, 2861, 6604, 3646, 1058, 3077, 2789, 3029, 540, 5208, 269, 20163, 281, 24129, 278, 6246, 7367, 454, 1692, 749, 267, 808, 269, 2506, 800, 454, 1721, 1411, 286, 634, 1439, 540, 519, 1153, 1032, 568, 16042, 3533, 269, 769, 3105, 1296, 267, 1896, 3988, 723, 11643, 22251, 4166, 1310, 519, 1439, 540, 519, 1153, 1032, 267, 1247, 2093, 941, 4195, 538, 741, 2247, 543, 972, 729, 8323, 689, 519, 7569, 540, 3232, 5049, 269, 1403, 596, 723, 606, 2856, 585, 606, 2376, 267, 594, 5000, 596, 547, 1589, 827, 1603, 607, 4166, 607, 519, 1153, 2165, 7475, 269, 594, 666, 4440, 7058, 1018, 596, 616, 6031, 267, 834, 296, 1810, 1405, 723, 4376, 602, 3988, 1131, 581, 5461, 538, 1701, 901, 568, 513, 1455, 5114, 267, 547, 799, 649, 4749, 4431, 676, 22348, 1164, 1153, 3610, 602, 713, 568, 834, 20365, 4760, 257, 543, 519, 1152, 1259, 547, 2327, 602, 3584, 540, 1719, 547, 596, 616, 2808, 610, 3370, 568, 676, 707, 3742, 7589, 269, 769, 713, 16232, 9550, 1032, 594, 993, 18056, 540, 519, 5432, 18941, 267, 834, 296, 20366, 538, 519, 9550, 267, 865, 594, 723, 12236, 519, 1318, 547, 29153, 827, 519, 14761, 1701, 594, 798, 711, 6999, 547, 5000, 5360, 8724, 267, 855, 972, 568, 513, 4143, 9756, 269, 1635, 26446, 22251, 547, 519, 4750, 267, 596, 616, 4180, 602, 596, 786, 3136, 547, 1205, 707, 2724, 781, 4502, 1317, 621, 786, 1331, 3584, 540, 1719, 547, 596, 269, 1879, 6236, 513, 19169, 267, 1082, 17053, 4589, 616, 16397, 693, 519, 2219, 540, 8600, 513, 2347, 12377, 269, 5213, 1405, 1577, 602, 3247, 596, 269, 1403, 596, 723, 606, 2856, 267, 606, 7291, 267, 610, 513, 11315, 8908, 267, 1022, 540, 519, 4183, 15769, 610, 594, 1131, 581, 6126, 547, 1865, 621, 609, 596, 269, 901, 835, 6823, 14633, 5872, 1282, 519, 1646, 1184, 786, 948, 596, 2769, 707, 2093, 811, 3927, 269, 3509, 3610, 2066, 519, 2197, 945, 616, 5185, 609, 2147, 3871, 543, 2042, 1142, 1554, 1131, 4324, 689, 606, 2376, 7234, 5499, 3450, 2994, 610, 513, 1007, 1259, 547, 1413, 693, 3741, 649, 4001, 1169, 1032, 269, 1306, 596, 2253, 547, 25666, 707, 2093, 267, 594, 1131 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10830, 1067, 267, 808, 269, 631, 269, 18722, 267, 623, 269, 808, 520, 869, 267, 715, 269, 715, 5429, 19561, 267, 667, 269, 6997, 732, 324, 267, 918, 269, 623, 269, 15328, 326, 17311, 267, 590, 269, 590, 269, 744, 5889, 22416, 2917, 267, 570, 269, 661, 1170, 28086, 267, 590, 269, 25421, 22974, 4149, 18288, 267, 543, 594, 269, 661, 3122, 5894, 269, 476, 1001, 278, 269, 2422, 540, 5907, 13189, 5012, 547, 1713, 12498, 273, 268, 5371, 582, 28649, 1035, 25485, 3273, 710, 13805, 1624, 340, 268, 3443, 1097, 281, 15845, 689, 513, 27946, 9196, 1353, 269, 12832, 13534, 1299, 30926, 3194, 476, 736, 263, 275, 2567, 28883, 5889, 275, 3451, 269, 5484, 578, 6308, 267, 715, 269, 700, 269, 476, 1220, 279, 269, 11671, 321, 5735, 540, 15522, 8213, 281, 20480, 585, 7296, 27220, 320, 268, 512, 542, 2126, 269, 1977, 4750, 540, 6925, 476, 13199, 263, 275, 26929, 476, 272, 2567, 306, 274, 5889, 306, 1015, 269, 6601, 1633, 267, 589, 1421, 661, 269, 27804, 548, 267, 589, 269, 700, 2100, 345, 267, 595, 269, 10548, 10394, 267, 589, 269, 4432, 6953, 749, 8643, 267, 543, 570, 269, 661, 1170, 28086, 269, 476, 1001, 278, 269, 18329, 13189, 281, 1548, 616, 789, 543, 1018, 798, 789, 798, 286, 7788, 1023, 540, 519, 1715, 3840, 9142, 540, 2233, 268, 679, 806, 476, 16928, 275, 263, 272, 2567, 276, 5889, 1789, 269, 595, 12000, 328, 3121, 267, 589, 269, 681, 1421, 661, 269, 595, 269, 5213, 5500, 267, 631, 269, 594, 269, 6022, 3901, 1512, 267, 2473, 269, 20568, 267, 715, 269, 932, 7596, 327, 686, 267, 543, 589, 269, 674, 269, 590, 1386, 269, 476, 1220, 280, 269, 634, 1909, 540, 15522, 538, 7296, 281, 589, 12242, 3146, 514, 7593, 2203, 269, 27228, 32600, 593, 31802, 476, 4649, 281, 11011, 5889, 11820, 269, 25020, 267, 700, 269, 623, 1421, 631, 269, 700, 269, 853, 12688, 267, 808, 269, 661, 269, 7009, 940, 7615, 267, 681, 269, 808, 269, 744, 5889, 3519, 24335, 267, 918, 269, 631, 269, 595, 17026, 902, 267, 543, 667, 269, 918, 269, 670, 1846, 4157, 9564, 269, 476, 1220, 280, 269, 18816, 15668, 4879, 540, 10269, 2472, 1519, 1761, 4389, 4598, 2472, 630, 303, 3918, 11679, 1040, 9435, 25731, 5735, 267, 29119, 1046, 619, 543, 10644, 476, 1240, 263, 1321, 2567, 27844, 272, 5889, 30444, 273, 269, 15509, 630, 28495, 619, 585, 8376, 6513, 543, 10644, 1040, 476, 1001, 277, 269, 16797, 560, 1846, 281, 595, 7837, 12076, 7296, 4567, 1851, 1699, 2937, 552, 24294, 12076, 3755, 267, 2085, 1895, 5889, 13233, 2657, 19877, 11752, 267, 2136, 2276, 267, 476, 1001, 276, 269, 5651, 321, 7190, 543, 18200, 1275, 28315, 7797, 476, 4792, 263, 5655, 2567, 14056, 278, 269, 932, 537, 267, 590, 269, 623, 1421, 681, 269, 645, 269, 7108, 7322, 267, 590, 269, 631, 269, 8055, 267, 645, 269, 29399, 267, 654, 269, 808, 269, 681, 10224, 267, 670, 269, 18681, 267, 808, 269, 28044, 267, 570, 269, 667, 269, 19300, 320, 267, 681, 269, 623, 269, 17292, 1359, 267, 543, 645, 269, 674, 269, 16827, 269, 476, 1001, 277, 269, 634, 27496, 540, 32663, 5889, 276, 15522, 946, 4524, 281, 11778, 689, 519, 2817, 25731, 328, 11043, 11752, 593, 15850, 543, 13565, 17148, 5889, 7656, 269, 4750, 540, 11916, 24741, 476, 6507, 263, 1015, 2567, 9610, 275, 5889, 15221, 273, 269, 29861, 9469, 267, 700, 1421, 543, 744, 269, 4856, 14585, 534, 269, 476, 1001, 275, 269, 26590, 5907, 16906, 946, 281, 12832, 13534, 6765, 543, 16148, 2360, 538, 2834, 3755, 269, 5369, 2684, 29108, 1108, 630, 29155, 331, 264, 476, 23211, 263, 273, 2567, 25002, 5889, 2412, 278, 269, 29861, 9469, 267, 700, 1421, 808, 269, 25306, 267, 589, 269, 21662, 267, 543, 918, 269, 1924, 541, 269, 476, 1001, 274, 269, 12882, 309, 12686, 5889, 12632, 543, 7375, 281, 1323, 2228, 5619, 540, 5907, 16906, 3755, 269, 24251, 476, 10482, 263, 277, 2567, 9340, 276, 5889, 12208, 276, 269, 29861, 9469, 267, 700, 269, 661, 1421, 595, 269, 674, 269, 13690, 828, 267, 631, 269, 1684, 580, 267, 595, 269, 3171, 9807, 629, 754, 267, 543, 744, 269, 4856, 14585, 534, 269, 476, 1001, 277, 269, 8682, 2389, 527, 1674, 676, 4810, 552, 24294, 12076, 3755, 281, 10552, 15522, 6765, 543, 16148, 2360, 269, 5369, 334, 268, 14278, 1108, 630, 29155, 331, 264, 476, 22001, 263, 1428, 5889, 1626, 2567, 27840, 274, 5889, 29848, 272, 269, 4144, 293, 3757, 5633, 267, 808, 269, 681, 1421, 808, 269, 589, 269, 14205, 720, 879, 267, 918, 269, 674, 2280, 7815, 267, 808, 269, 918, 269, 744, 1188, 2940, 267, 715, 269, 589, 269, 15519, 2714, 328, 267, 589, 269, 667, 269, 5062, 10468, 650, 267, 631, 269, 23045, 2006, 267, 543, 595, 269, 8381, 269, 476, 1220, 273, 269, 25732, 519, 2530, 540, 13190, 936, 15522, 946, 538, 10708, 281, 634, 667, 13263, 312, 630, 14946, 618, 543, 10495, 540, 12832, 13534, 667, 11163, 538, 1411, 2195, 264, 1353, 269, 19964, 540, 27435, 1299, 32183, 6925, 476, 14444, 263, 275, 2567, 4375, 278, 5889, 29889, 269, 12358, 3626, 267, 661, 269, 674, 1421, 700, 269, 15281, 267, 808, 269, 590, 269, 12358, 3626, 267, 654, 269, 18708, 267, 595, 269, 27213, 267, 590, 269, 717, 3578, 4471, 267, 670, 269, 15651, 267, 681, 269, 589, 269, 918, 4141, 28500, 267, 543, 808, 269, 918, 269, 2098, 889, 2884, 320, 269, 476, 1001, 274, 269, 9324, 545, 582, 514, 1242, 8957, 3328, 15522, 10269, 16906, 15137, 268, 3824, 1114, 6053, 13847, 4174, 7614, 22006, 269, 12832, 13534, 1299, 30926, 3194, 476, 1428, 263, 272, 2567, 1556, 5889, 2641, 269, 5213, 5500, 267, 661, 269, 595, 1421, 661, 269, 670, 8083, 332, 1638, 518, 267, 543, 631, 269, 700, 269, 853, 12688, 269, 476, 1220, 278, 269, 25003, 538, 519, 9000, 540, 15522, 281, 19884, 267, 16148, 543, 12214, 2360, 936, 476, 1556, 2395, 269, 24251, 476, 9083, 263, 273, 2567, 27844, 5889, 31172, 563, 291, 7968, 21715, 9970, 6730, 9474, 27516, 22244, 5723, 6579, 14510, 476, 28178, 5213, 5500, 267, 661, 269, 595, 1421, 681, 269, 700, 269, 9324, 1782, 518, 267, 808, 269, 654, 269, 570, 728, 344, 267, 808, 269, 590, 269, 918, 17274, 1889, 29794, 267, 715, 269, 700, 269, 5484, 578, 6308, 267, 681, 269, 717, 269, 966, 663, 9445, 267, 631, 269, 620, 5889, 27028, 328, 267, 590, 269, 717, 269, 25844, 7578, 267, 623, 269, 631, 269, 595, 4532, 597, 760, 7236, 267, 590, 269, 590, 269, 667, 1069, 1328, 267, 667, 269, 808, 269, 667, 13681, 525, 267, 590, 269, 590, 269, 1261, 19816, 267, 808, 269, 808, 27255, 267, 570, 269, 28818, 267, 595, 269, 570, 269, 2274, 267, 674, 269, 808, 269, 5062, 5141, 1716, 517, 267, 594, 269, 667, 269, 8053, 30377, 267, 590, 269, 661, 269, 32298, 267, 808, 269, 667, 269, 20484, 267, 631, 269, 700, 269, 853, 12688, 267, 589, 269, 589, 269, 5899, 817, 518, 267, 670, 269, 570, 26295, 267, 543, 667, 269, 918, 269, 670, 1846, 4157, 9564, 269, 476, 1001, 276, 269, 15932, 1242, 4693, 540, 4389, 268, 5371, 13534, 4441, 585, 13189, 269, 1715, 4789, 4750, 540, 6925, 476, 32699, 263, 1691, 2567, 476, 16328, 271, 5889, 16328, 280, 269, 18264, 614, 267, 808, 269, 674, 269, 476, 1001, 276, 269, 4112, 8724, 519, 2360, 540, 5907, 13189, 593, 6159, 1324, 585, 10269, 538, 2487, 16718, 1562, 269, 10684, 543, 15850, 667, 11163, 476, 16825, 281, 9083, 5889, 10482, 269, 18264, 614, 267, 808, 269, 674, 269, 476, 1001, 277, 269, 774, 9130, 5734, 538, 3755, 540, 519, 5907, 16906, 281, 1323, 30405, 1353, 269, 5369, 565, 268, 522, 4445, 540, 5410, 1112, 633, 20409, 12542, 476, 1789, 263, 272, 2567, 11152, 5889, 1911, 269, 18264, 614, 267, 808, 269, 674, 1421, 543, 595, 269, 18409, 523, 269, 476, 1001, 275, 269, 589, 19976, 1353, 540, 5907, 16906, 3755, 269, 5410, 1112, 633, 20409, 12542, 476, 4375, 263, 273, 2567, 5392, 272, 5889, 5392, 275, 269, 18264, 614, 267, 808, 269, 674, 1421, 543, 570, 269, 661, 1170, 28086, 269, 476, 1001, 276, 269, 667, 11163, 2157, 538, 3755, 540, 5907, 13189, 267, 562, 4815, 268, 512, 710, 14779, 543, 10269, 13189, 269, 10684, 543, 15850, 667, 11163, 476, 15704, 281, 6924, 5889, 4037, 269, 674, 4526, 1598, 12728, 382, 370, 332, 267, 918, 269, 476, 1001, 273, 269, 10318, 514, 1218, 540, 10269, 946, 543, 15646, 5446, 519, 674, 307, 21254, 547, 519, 674, 4526, 1598, 12728, 382, 370, 332, 4530, 585, 595, 7837, 12076, 667, 11163, 269, 12832, 13534, 1299, 30926, 3194, 476, 1691, 263, 272, 2567, 4037, 5889, 4281, 269, 674, 1513, 531, 16394, 267, 918, 269, 661, 1421, 667, 269, 17578, 328, 777, 6652, 267, 590, 269, 918, 10455, 345, 641, 9567, 657, 267, 631, 269, 14205, 341, 641, 9567, 537, 267, 543, 966, 269, 966, 3716, 5142, 269, 476, 1001, 275, 269, 26590, 2360, 540, 1210, 606, 5907, 15522, 1673, 601, 6116, 3926, 630, 19491, 3055, 16906, 264, 593, 1250, 665, 541, 268, 3866, 1599, 281, 18948, 609, 519, 2360, 540, 2834, 13189, 269, 645, 10157, 31292, 15136, 476, 1691, 281, 4281, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 14093, 277, 270, 15704, 272, 268, 26297, 272, 268, 1691, 268, 4281, 630, 17739, 539, 5988, 476, 276, 267, 476, 1001, 279, 1040, 674, 328, 648, 267, 631, 269, 595, 1421, 595, 269, 681, 269, 26566, 523, 267, 543, 570, 269, 645, 269, 22823, 269, 476, 1220, 279, 269, 6164, 532, 10269, 946, 543, 13829, 281, 476, 1220, 279, 909, 268, 4266, 267, 11916, 2259, 23988, 269, 9412, 6807, 267, 11022, 281, 772, 2529, 269, 4972, 540, 2657, 543, 5274, 7896, 267, 5398, 2657, 6796, 269, 4179, 2517, 321, 874, 322, 19544, 3464, 320, 10993, 11486, 3089, 1115, 14121, 11661, 339, 984, 8829, 15005, 630, 17739, 539, 5988, 476, 276, 267, 476, 1001, 279, 1040, 674, 746, 338, 267, 808, 1421, 590, 269, 966, 15505, 515, 518, 267, 808, 269, 962, 532, 560, 267, 590, 269, 670, 4599, 990, 20391, 267, 590, 269, 808, 269, 14355, 267, 570, 269, 570, 269, 17880, 11169, 267, 543, 570, 269, 661, 1170, 28086, 269, 476, 1001, 276, 269, 4886, 540, 513, 18102, 585, 12570, 13829, 593, 5907, 13189, 1851, 513, 1804, 3732, 540, 608, 23337, 3183, 552, 24294, 12076, 3755, 269, 12832, 13534, 1299, 30926, 3194, 476, 1704, 263, 273, 2567, 5908, 5889, 4572, 269, 7108, 21672, 267, 715, 269, 594, 1421, 631, 269, 717, 269, 31489, 6312, 4459, 267, 808, 269, 700, 269, 645, 1551, 15838, 6874, 3234, 529, 267, 681, 269, 667, 269, 623, 836, 267, 808, 269, 674, 269, 5062, 289, 996, 267, 631, 269, 589, 269, 19999, 345, 267, 808, 269, 631, 269, 6341, 564, 267, 543, 589, 269, 631, 269, 2274, 1203, 15595, 269, 476, 1001, 277, 269, 12186, 540, 6653, 8137, 902, 543, 15522, 593, 519, 9029, 543, 10444, 3601, 540, 552, 24294, 10577, 1851, 1762, 2937, 642, 3639, 281, 7442, 268, 726, 1709, 540, 513, 3209, 12191, 269, 10684, 543, 15850, 667, 11163, 476, 12739, 281, 12293, 5889, 5197, 269, 30781, 1446, 345, 7304, 9926, 267, 589, 1421, 681, 269, 27116, 3547, 966, 8759, 267, 543, 590, 269, 1284, 573, 6199, 269, 476, 1001, 278, 269, 28518, 15522, 13829, 2157, 538, 552, 24294, 12076, 3755, 269, 1520, 27364, 542, 525, 476, 3066, 263, 273, 2567, 15793, 5889, 15946, 269, 26186, 603, 338, 267, 681, 269, 681, 1421, 543, 645, 269, 16423, 269, 476, 1960, 271, 269, 28731, 6057, 15668, 540, 1114, 22904, 17377, 32581, 1149, 538, 3075, 705, 22852, 269, 4750, 540, 11916, 5369, 2684, 29108, 1108, 476, 1015, 263, 275, 2567, 26801, 5889, 25838, 269, 1261, 1430, 2023, 267, 570, 269, 674, 1421, 700, 269, 570, 269, 918, 9926, 869, 24989, 267, 681, 269, 595, 269, 6154, 14982, 267, 543, 918, 269, 744, 269, 674, 4526, 1598, 12728, 382, 370, 332, 269, 476, 1960, 272, 269, 634, 674, 4526, 1598, 12728, 382, 370, 332, 4530, 585, 12832, 13534, 667, 11163, 281, 589, 14469, 540, 519, 674, 4526, 1598, 12728, 382, 370, 332, 570, 16260, 7726, 32666, 269, 3703, 4750, 540, 24251, 476, 10436, 263, 280, 2567, 9340, 280, 5889, 12208, 278, 269, 7009, 940, 7615, 267, 808, 269, 661, 1421, 667, 269, 918, 269, 670, 1846, 4157, 9564, 267, 631 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16706, 20559, 618, 950, 16565, 610, 1210, 28580, 933, 14162, 563, 11101, 267, 972, 616, 18312, 8369, 1851, 9099, 5640, 3823, 519, 7989, 1170, 2225, 540, 28580, 933, 14162, 269, 2368, 5640, 25077, 602, 607, 1279, 607, 28580, 933, 14162, 15666, 547, 519, 3741, 540, 9099, 1395, 6139, 1143, 543, 616, 1031, 607, 513, 24045, 1797, 540, 5275, 4027, 267, 789, 616, 7989, 24777, 269, 11524, 1491, 513, 811, 18762, 1935, 267, 1443, 2358, 1996, 16126, 593, 28580, 933, 14162, 543, 10771, 519, 2215, 2329, 540, 25442, 5132, 543, 16126, 593, 16589, 563, 25911, 3496, 18321, 543, 17217, 454, 32382, 519, 10848, 4478, 28580, 933, 14162, 3340, 513, 13857, 1620, 540, 9099, 18381, 543, 10883, 1440, 28619, 269, 2755, 21071, 949, 1265, 24176, 543, 15260, 4269, 538, 519, 2259, 540, 9849, 28580, 933, 14162, 267, 621, 568, 16122, 547, 1935, 621, 609, 513, 2565, 14820, 543, 15666, 547, 519, 3741, 13890, 538, 519, 20845, 543, 6129, 333, 1695, 269, 16418, 532, 5583, 689, 18164, 5640, 267, 8026, 20559, 618, 538, 8939, 28580, 933, 14162, 267, 543, 4509, 5609, 1356, 640, 540, 5132, 616, 2629, 3344, 540, 11495, 513, 3666, 1063, 3909, 20174, 543, 7787, 20559, 618, 563, 27407, 267, 519, 12117, 540, 28580, 933, 14162, 538, 5771, 6013, 711, 8806, 538, 519, 2168, 1843, 3294, 855, 538, 519, 5609, 1356, 640, 540, 835, 779, 5132, 543, 519, 10143, 1364, 775, 540, 16589, 269, 6787, 835, 23297, 547, 5957, 513, 28580, 933, 14162, 610, 711, 267, 519, 4909, 3741, 540, 9099, 3661, 1107, 19169, 547, 519, 786, 540, 16589, 267, 3972, 538, 3571, 23502, 267, 543, 15984, 547, 3571, 5583, 1107, 2611, 14063, 269, 769, 519, 1391, 585, 5289, 4027, 543, 25736, 267, 621, 568, 519, 19454, 540, 2295, 543, 32344, 1145, 540, 5132, 602, 5963, 21592, 519, 1825, 591, 779, 4276, 547, 519, 10143, 269, 0, 4415, 2604, 593, 1153, 23348, 267, 621, 568, 811, 1271, 982, 2479, 547, 17854, 782, 2127, 540, 7836, 269, 8713, 291, 568, 1100, 9868, 543, 814, 12926, 1044, 513, 2182, 1858, 547, 1397, 1764, 563, 4913, 267, 950, 596, 1205, 621, 1318, 267, 596, 666, 5531, 3532, 2963, 602, 1142, 10872, 540, 2238, 568, 2348, 1463, 543, 22905, 1764, 593, 20194, 4093, 563, 27645, 543, 824, 5234, 666, 1745, 23518, 543, 1294, 3152, 10083, 538, 741, 960, 607, 789, 616, 2016, 2645, 547, 2697, 519, 9283, 789, 616, 1818, 267, 16439, 513, 1899, 689, 519, 9758, 2042, 602, 616, 4101, 873, 538, 13460, 547, 1483, 3435, 563, 763, 1739, 5796, 568, 5059, 593, 519, 2010, 540, 8713, 291, 799, 616, 2966, 547, 2087, 2875, 4093, 269, 901, 4440, 13054, 519, 13557, 540, 519, 3318, 1646, 960, 602, 1058, 581, 2469, 593, 538, 3506, 269, 4033, 2238, 949, 1331, 2866, 593, 1949, 610, 5773, 630, 324, 3052, 269, 8668, 267, 2564, 267, 17420, 267, 27152, 1070, 593, 12438, 1049, 3157, 267, 610, 3274, 9870, 4656, 563, 8802, 3563, 1631, 267, 1224, 11014, 454, 14188, 596, 585, 9683, 27116, 10955, 543, 2542, 930, 540, 938, 1543, 585, 4648, 538, 6281, 2069, 269, 19193, 1631, 585, 1863, 547, 1205, 19957, 1569, 547, 782, 1543, 563, 4462, 15905, 1569, 547, 3377, 267, 1655, 2259, 4930, 543, 15264, 454, 6124, 1543, 543, 552, 1532, 592, 2280, 1231, 9447, 2786, 547, 707, 28600, 1169, 11728, 543, 13628, 454, 2704, 2819, 723, 606, 2272, 286, 6178, 538, 1934, 0, 28347, 4446, 871, 15525, 9896, 519, 32285, 5516, 2920, 630, 3722, 288, 264, 883, 1876, 547, 2087, 1569, 547, 10097, 3782, 1247, 16715, 3790, 543, 5355, 1072, 4093, 269, 901, 3769, 267, 1851, 824, 1919, 267, 513, 10421, 585, 2628, 619, 547, 3382, 513, 1297, 540, 2021, 779, 15324, 1416, 2533, 971, 607, 1134, 11564, 267, 2860, 32182, 267, 829, 514, 7614, 1416, 267, 543, 519, 1888, 540, 713, 2376, 267, 3102, 14915, 566, 1489, 269, 2859, 982, 513, 8717, 2663, 267, 1906, 1072, 4566, 723, 7850, 5121, 540, 14915, 566, 12665, 547, 1683, 891, 1271, 32486, 2640, 269, 1703, 568, 2370, 9431, 23388, 547, 3180, 2628, 619, 18177, 267, 6028, 2550, 547, 4137, 856, 875, 547, 1569, 1416, 950, 789, 991, 621, 563, 19119, 540, 23213, 16567, 454, 289, 28320, 945, 6089, 12890, 723, 2539, 11841, 540, 7929, 4576, 267, 1274, 5563, 267, 22542, 3676, 267, 26253, 543, 590, 10680, 269, 6468, 945, 6089, 12890, 723, 1447, 2022, 31691, 11702, 630, 1492, 1297, 835, 20740, 538, 519, 2022, 31691, 1974, 1070, 7864, 2665, 540, 2022, 31691, 4160, 543, 4965, 267, 25073, 543, 6089, 2860, 267, 7392, 476, 273, 3987, 267, 9025, 2068, 543, 12263, 269, 1452, 2640, 616, 6444, 676, 519, 1977, 9142, 540, 27435, 267, 589, 4596, 294, 543, 519, 2622, 2657, 9257, 563, 17954, 770, 16567, 849, 814, 2883, 2640, 1813, 547, 922, 19654, 2318, 1072, 5222, 585, 1312, 3993, 543, 4816, 269, 1280, 1383, 267, 513, 2754, 602, 16539, 538, 513, 9036, 20418, 1982, 1336, 602, 972, 729, 1269, 272, 267, 31973, 538, 2564, 6811, 9806, 829, 6089, 325, 539, 10867, 267, 1644, 547, 2126, 585, 17333, 4345, 2923, 267, 12884, 10938, 4345, 267, 27394, 8527, 1944, 4283, 4377, 4345, 269, 901, 729, 3592, 513, 476, 274, 281, 272, 2132, 593, 5092, 10867, 1072, 6811, 9806, 4805, 563, 10303, 540, 519, 2318, 5222, 540, 20418, 585, 1312, 2385, 543, 4816, 267, 20418, 1489, 543, 7727, 616, 2808, 15324, 2533, 543, 4628, 4988, 1510, 1942, 4687, 896, 519, 589, 7563, 269, 11588, 1331, 29492, 267, 2069, 267, 9263, 1489, 2533, 267, 6089, 15450, 543, 7727, 563, 763, 11957, 540, 32587, 566, 8081, 547, 13724, 23213, 16567, 26162, 454, 4407, 476, 10695, 260, 540, 2021, 1376, 20418, 267, 1152, 476, 1839, 260, 1118, 621, 547, 519, 3670, 3923, 12600, 20418, 16252, 630, 24922, 1040, 476, 2568, 260, 540, 3237, 3247, 20418, 19692, 982, 789, 1616, 547, 267, 1419, 585, 4128, 602, 1223, 581, 9619, 609, 519, 1697, 1489, 689, 513, 3714, 6509, 269, 23213, 16567, 568, 2182, 960, 609, 1100, 2395, 1055, 269, 14268, 991, 1489, 689, 741, 3782, 1062, 267, 9036, 267, 693, 1753, 543, 1369, 2950, 538, 1931, 547, 581, 3811, 269, 1879, 3237, 723, 1569, 547, 14915, 566, 29801, 2429, 519, 829, 514, 7614, 1974, 267, 20418, 22612, 267, 8653, 543, 8515, 3928, 2087, 13497, 563, 20776, 3272, 540, 9796, 619, 454, 8245, 680, 328, 293, 539, 23500, 5010, 543, 27083, 2628, 619, 538, 476, 2568, 4872, 2066, 3670, 2829, 543, 1336, 602, 553, 540, 4873, 476, 1708, 274, 267, 972, 941, 1100, 4566, 609, 7850, 3060, 3795, 540, 14915, 566, 29801, 547, 1489, 2818, 269, 769, 1249, 267, 972, 14201, 1406, 1022, 14915, 566, 29801, 7396, 585, 513, 2582, 1715, 3840, 27083, 7307, 1416, 1544, 543, 1152, 835, 540, 519, 1614, 2101, 5010, 2628, 619, 538, 4993, 7396, 14915, 566, 29801, 538, 741, 8502, 15682, 269, 4107, 1072, 4566, 1810, 1406, 723, 513, 20614, 25084, 585, 14915, 566, 29801, 267, 543, 1152, 513, 1906, 2829, 12689, 610, 1450, 873, 547, 4196, 27083, 679, 1503, 548, 525, 267, 5103, 15792, 2963, 602, 20418, 1489, 10607, 20418, 4093, 563, 11693, 589, 7563, 15324, 1416, 4170, 2059, 609, 519, 519, 1072, 543, 2883, 2640, 540, 20418, 267, 799, 616, 4824, 609, 3102, 14915, 566, 1489, 267, 621, 4667, 16022, 602, 1072, 4566, 1131, 4225, 3246, 891, 2533, 547, 2818, 998, 7347, 8502, 5121, 563, 303, 32123, 543, 5358, 32505, 454, 2171, 616, 29014, 1533, 27083, 3292, 543, 1072, 4566, 786, 2936, 6190, 8502, 5121, 547, 2327, 3461, 1569, 547, 20418, 1489, 2066, 519, 27514, 543, 2022, 31691, 5712, 547, 3035, 2629, 10867, 543, 14774, 1072, 4093, 543, 3035, 10220, 609, 519, 589, 7563, 563, 2171, 4363, 1533, 2229, 543, 1072, 4566, 1491, 519, 1739, 3268, 5612, 543, 22217, 328, 293, 539, 568, 2139, 547, 1489, 1072, 4566, 538, 11880, 1746, 891, 3527, 547, 2327, 3885, 666, 6368, 1569, 5812, 267, 10097, 267, 32486, 2640, 950, 789, 991, 873, 912, 268, 27083, 8041, 538, 10858, 2829, 1590, 17997, 10220, 609, 519, 589, 7563, 15324, 1416, 4808, 563, 268, 13724, 1569, 547, 2533, 676, 3850, 14915, 566, 29801, 547, 18934, 607, 7426, 538, 2628, 518, 8502, 5121, 563, 268, 6583, 1501, 2312, 14915, 566, 1489, 4507, 1519, 4324, 4808, 267, 32158, 2720, 762, 9479, 543, 4264, 3928, 563, 268, 15147, 2533, 896, 2385, 543, 10867, 2818, 538, 2013, 519, 2385, 1100, 3476, 814, 3795, 538, 519, 2022, 31691, 1974, 563, 268, 12706, 7850, 8502, 5121, 609, 2312, 2792, 827, 891, 5121, 1519, 267, 4180, 2550, 917, 789, 723, 1569, 547, 891, 2533, 267, 666, 3362, 3406, 585, 320, 8502, 543, 723, 1082, 2653, 3681, 547, 4309, 1416, 630, 328, 4318, 269, 910, 972, 616, 811, 982, 835, 610, 1079, 7426, 538, 5991, 564, 1740, 267, 2673, 547, 1753, 543, 5924, 3842, 7658, 8234, 1916, 268, 19372, 3060, 6631, 2329, 4441, 602, 2743, 519, 2115, 540, 519, 4759, 2551, 543, 6895, 1569, 543, 8244, 540, 14915, 566, 29801, 563, 4322, 949, 3100, 899, 3138, 11998, 3853, 267, 2705, 1082, 540, 891, 616, 3044, 2259, 585, 1022, 824, 20614, 269, 898, 568, 942, 602, 14915, 566, 1489, 568, 5701, 519, 1482, 1259, 607, 1022, 824, 20614, 563, 17954, 770, 16567, 568, 835, 540, 519, 1034, 26374, 9541, 2576, 666, 1118, 585, 741, 1126, 781, 1072, 267, 543, 621, 779, 711, 2653, 269, 14268, 991, 519, 1697, 1489, 547, 581, 3811, 543, 1745, 1434, 827, 4816, 8023, 269, 32587, 566, 29801, 616, 2565, 547, 4180, 711, 1152, 2318, 4816, 8023, 4093, 267, 855, 849, 5355, 14774, 543, 1126, 1072, 269, 2657, 4566, 616, 2838, 547, 1683, 14915, 566, 1489, 2533, 585, 1312, 3993, 543, 4816, 4358, 1282, 6379, 543, 2429, 519, 14006, 31691, 1974, 609, 1100, 1942, 4687, 269, 898, 779, 942, 547, 1118, 1434, 593, 602, 9153, 269, 0, 305, 334, 1824, 543, 29759, 540, 769, 1633, 5253, 1811, 454, 2005, 729, 950, 16410, 324, 5633, 632, 966, 20403, 267, 16910, 656, 525, 267, 10011, 21034, 267, 543, 661, 4614, 7079, 941, 538, 519, 26692, 540, 22163, 2516, 593, 519, 9018, 13323, 26066, 30577, 602, 789, 2968, 31235, 609, 811, 3309, 1426, 1811, 540, 519, 3162, 7147, 2295, 1633, 281, 11018, 543, 11256, 562, 29914, 527, 657, 543, 7113, 553, 607, 1134, 607, 20857, 543, 11256, 21049, 2520, 4451, 5052, 269, 4438, 519, 4832, 267, 533, 4459, 569, 15090, 2472, 3177, 519, 13557, 540, 519, 7449, 14571, 585, 891, 2516, 269, 1280, 1034, 540, 519, 5162, 267, 789, 16941, 593, 5072, 267, 930, 540, 799, 941, 1906, 538, 1297, 543, 2352, 547, 2007, 282, 1866, 941, 4080, 607, 1373, 15280, 610, 4929, 6366, 18834, 269, 6301, 1633, 2516, 267, 1519, 1346, 1634, 607, 519, 962, 7666, 30769, 543, 25795, 1868, 5030, 538, 1319, 2275, 2642, 17743, 902, 2147, 547, 1346, 1031, 676, 9381, 15129, 2516, 269, 1924, 1932, 1705, 519, 2997, 822, 4100, 543, 824, 2516, 945, 20948, 519, 6418, 13323, 26066, 30577, 269, 769, 3210, 547, 519, 2199, 8244, 540, 3309, 1426, 7727, 267, 891, 678, 4545, 615, 6403, 553, 941, 6410, 689, 1747, 547, 1747, 267, 1369, 513, 2016, 4199, 1858, 267, 607, 1419, 607, 1169, 1079, 610, 1614, 2395, 269, 1763, 7808, 7575, 1851, 1082, 10068, 15129, 9381, 2516, 941, 1454, 1447, 7928, 2016, 519, 13354, 7607, 540, 10068, 12406, 543, 32729, 15135, 1369, 741, 4630, 601, 1343, 563, 763, 962, 7666, 30769, 267, 25795, 1868, 267, 543, 15231, 2516, 1419, 1031, 3295, 11642, 547, 1491, 13650, 267, 12212, 476, 1220, 268, 4968, 693, 513, 942, 267, 689, 2059, 519, 8933, 543, 519, 11105, 5260, 20087, 338, 269, 2201, 835, 8317, 267, 476, 2568, 21962, 27333, 3576, 476, 4335, 13650, 538, 5216, 2395, 269, 10705, 267, 2705, 267, 9039, 941, 7166, 269, 631, 823, 941, 3144, 689, 2059, 519, 8933, 607, 1134, 1141, 789, 7018, 538, 968, 24030, 11606, 1848, 4340, 547, 29191, 1221, 334, 267, 968, 5472, 540, 713, 568, 2370, 1496, 514, 2179, 316, 1317, 789, 3802, 2059, 519, 5757, 519, 2898, 540, 5162, 909, 543, 1524, 267, 543, 1524, 543, 909, 267, 2760, 16069, 10478, 585, 1426, 3034, 4407, 13650, 3100, 547, 723, 1044, 10731, 593, 519, 13323, 26066, 30577, 267, 693, 2547, 538, 930, 4025, 543, 693, 930, 2053, 540, 519, 1032, 267, 536, 2581, 610, 968, 322, 3298, 892, 538, 16410, 324, 5633, 632, 966, 20403, 21485, 338, 1612, 28917, 941, 4686, 24738, 8197, 563, 257, 290, 3298, 2097, 713, 2484, 543, 594, 723, 2938, 873, 1614, 2053, 543, 723, 13881, 540, 873 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 20601, 5964, 267, 18167, 883, 519, 14960, 540, 7914, 543, 2527, 2946, 15833, 786, 7520, 1312, 2123, 2208, 543, 18399, 780, 4089, 476, 272, 281, 634, 22845, 540, 30180, 1744, 1824, 692, 4263, 922, 4295, 267, 513, 7914, 8929, 14122, 4412, 2454, 519, 29692, 3440, 19794, 29932, 5176, 865, 1765, 629, 913, 519, 7077, 540, 519, 12308, 267, 7551, 7175, 621, 547, 29906, 18060, 532, 11084, 610, 1147, 25236, 7496, 13684, 676, 30126, 3270, 269, 1677, 14892, 513, 3811, 7914, 8929, 267, 1896, 1883, 2609, 1590, 1071, 2297, 576, 32069, 281, 1697, 18879, 267, 6099, 5086, 540, 1935, 267, 3617, 3432, 5108, 267, 543, 4140, 5534, 946, 540, 8095, 269, 1284, 4927, 4983, 1142, 5057, 14350, 1354, 13754, 1944, 873, 883, 513, 11455, 1620, 780, 272, 269, 853, 766, 543, 15167, 692, 288, 7123, 5748, 3029, 519, 22294, 540, 1022, 1134, 7721, 1815, 3176, 7535, 8482, 269, 1879, 8600, 585, 513, 7914, 8929, 267, 8263, 513, 5594, 9962, 18879, 982, 8912, 267, 12979, 1681, 3054, 16119, 547, 519, 2666, 1247, 4509, 3666, 543, 10688, 269, 19024, 707, 8115, 1688, 2673, 547, 519, 29692, 3440, 267, 5807, 3152, 1852, 936, 15038, 543, 4180, 8766, 13779, 609, 519, 18330, 540, 519, 29692, 9133, 780, 273, 269, 24234, 540, 13979, 692, 763, 5086, 693, 799, 519, 29692, 16716, 519, 29692, 3440, 3648, 7506, 922, 7299, 12740, 269, 1280, 5021, 10841, 3290, 267, 5447, 519, 14788, 13902, 569, 3448, 547, 519, 8880, 7077, 540, 519, 3349, 267, 3850, 519, 29692, 9133, 547, 3346, 519, 5377, 3368, 540, 519, 29692, 3440, 269, 1230, 9690, 569, 267, 4019, 13581, 18746, 2604, 1765, 516, 31084, 547, 607, 1246, 28443, 23121, 2327, 6190, 3138, 1111, 1510, 18731, 1852, 780, 274, 269, 17726, 19087, 692, 16914, 23847, 3432, 7939, 4564, 1776, 2565, 25246, 540, 22589, 2500, 7914, 15833, 269, 6184, 11211, 3196, 949, 1267, 538, 13385, 24999, 936, 18060, 532, 3615, 267, 6466, 7050, 6991, 666, 1291, 547, 13311, 1219, 3005, 610, 2530, 540, 8856, 269, 6657, 12238, 3101, 519, 1270, 15363, 1379, 2877, 585, 1585, 7653, 267, 2921, 1416, 547, 4188, 707, 588, 549, 6362, 11733, 9935, 780, 275, 269, 1975, 514, 13335, 692, 4407, 19758, 11017, 630, 10193, 1634, 607, 2296, 264, 3622, 18327, 4831, 335, 8793, 950, 12394, 7914, 15833, 267, 5011, 11017, 6585, 1761, 10626, 538, 22392, 29692, 3440, 3350, 2022, 9762, 716, 269, 1635, 18836, 532, 2901, 2451, 610, 1318, 2296, 267, 9952, 5716, 666, 5705, 569, 3310, 519, 2619, 540, 519, 29692, 3440, 267, 6679, 909, 1007, 18817, 585, 3860, 8929, 6194, 780, 4089, 476, 273, 281, 634, 3163, 19992, 7136, 2946, 1744, 1824, 692, 22709, 2946, 15833, 8428, 6825, 569, 689, 741, 7914, 8929, 13413, 1813, 547, 741, 3119, 6662, 281, 28093, 5224, 519, 29692, 3440, 609, 8101, 22441, 1282, 2951, 267, 3976, 14123, 11495, 5892, 538, 17739, 1043, 9072, 269, 19793, 1324, 713, 9028, 19329, 7311, 3665, 2427, 1811, 7005, 13745, 609, 14733, 16057, 5163, 267, 4611, 538, 513, 1612, 20326, 18330, 24188, 540, 1788, 850, 5163, 4767, 538, 6323, 269, 2598, 4167, 532, 519, 11707, 5817, 2527, 2946, 15833, 8761, 4241, 4030, 883, 519, 16799, 1063, 16070, 11610, 267, 535, 2774, 1308, 4229, 267, 543, 14965, 7485, 780, 272, 269, 4911, 983, 28850, 636, 11094, 692, 2691, 22589, 513, 2527, 2946, 8929, 267, 519, 29692, 9133, 791, 11301, 1713, 24364, 1648, 5196, 519, 29692, 3440, 3842, 4294, 7005, 269, 14265, 1017, 569, 267, 713, 16070, 11610, 3788, 3586, 2429, 519, 30810, 540, 519, 8929, 3177, 1100, 5007, 8731, 13196, 957, 2390, 519, 1062, 12544, 6240, 12082, 538, 13053, 781, 1101, 1876, 540, 5163, 269, 4935, 267, 1620, 875, 1655, 547, 1463, 713, 7915, 22441, 3587, 14063, 538, 6707, 10188, 1950, 29282, 780, 273, 269, 674, 9689, 14600, 12720, 692, 2026, 519, 29692, 3440, 21986, 525, 519, 12308, 2627, 679, 8905, 547, 922, 3077, 267, 5706, 633, 4229, 6383, 676, 11508, 17736, 790, 547, 27298, 922, 14694, 12761, 269, 10395, 520, 656, 2994, 1996, 891, 18111, 614, 1190, 2360, 4125, 14139, 9875, 4388, 267, 4227, 12308, 5957, 267, 543, 9001, 5347, 267, 1377, 4730, 7252, 27507, 540, 11935, 610, 12150, 885, 269, 3958, 267, 10893, 8749, 11664, 998, 6297, 29692, 3440, 5542, 1765, 11155, 3151, 2326, 609, 2539, 14170, 540, 11508, 1471, 268, 14504, 23724, 4244, 3681, 1765, 4754, 2417, 24772, 2773, 1282, 1164, 3613, 1389, 2527, 2946, 13341, 780, 274, 269, 3400, 13901, 24665, 566, 692, 7661, 267, 8051, 585, 3047, 781, 24819, 14965, 2361, 6763, 1898, 538, 8308, 17782, 519, 10700, 12556, 540, 513, 2527, 2946, 8929, 269, 9717, 3355, 2175, 971, 607, 10131, 5086, 267, 6991, 267, 543, 8095, 9588, 267, 10427, 6310, 3631, 5483, 676, 3741, 6508, 689, 8106, 11707, 1450, 9439, 547, 9472, 22638, 1764, 4087, 609, 7415, 6111, 269, 30855, 891, 26398, 6087, 17053, 5857, 1186, 327, 2393, 619, 547, 24917, 741, 4739, 267, 13321, 9583, 7543, 905, 1846, 883, 6296, 18517, 780, 6962, 692, 21615, 1046, 532, 2390, 519, 1353, 540, 7914, 543, 2527, 2946, 15833, 7436, 513, 11358, 4090, 538, 835, 781, 4720, 607, 513, 7535, 7192, 20601, 5964, 269, 3414, 6131, 2259, 543, 3498, 540, 13654, 2168, 3741, 267, 17117, 540, 891, 4359, 2553, 1917, 1115, 8476, 5876, 267, 17545, 267, 543, 2949, 23258, 269, 5047, 267, 2502, 609, 5969, 12967, 1382, 543, 6639, 7760, 1102, 4926, 4195, 5133, 883, 942, 3620, 517, 1819, 5389, 267, 28043, 3140, 2853, 609, 4207, 10124, 269, 11086, 267, 8508, 519, 4161, 540, 3501, 532, 7914, 543, 2527, 2946, 15833, 5713, 711, 1152, 547, 10646, 13951, 10838, 9905, 855, 849, 5252, 919, 513, 4514, 7071, 585, 519, 11972, 27559, 540, 8013, 3915, 328, 1841, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 289, 650, 328, 1841, 267, 513, 15851, 3014, 602, 814, 1044, 10150, 676, 12439, 585, 5553, 267, 3091, 811, 982, 1175, 519, 5432, 476, 279, 1532, 718, 543, 476, 280, 1532, 718, 7648, 269, 2755, 891, 1079, 14726, 616, 17216, 2442, 267, 972, 6818, 513, 3638, 13795, 540, 3915, 328, 1841, 3756, 602, 1683, 3309, 2591, 543, 3078, 29863, 269, 769, 713, 5816, 2022, 267, 649, 3580, 5490, 883, 519, 1158, 540, 14758, 8153, 3915, 328, 1841, 7648, 267, 26500, 519, 16082, 602, 1118, 1142, 3014, 513, 2189, 543, 11791, 1995, 563, 8368, 540, 12937, 454, 1805, 571, 697, 623, 944, 281, 30059, 543, 15613, 454, 1805, 571, 697, 623, 944, 267, 849, 1634, 607, 476, 1691, 269, 272, 6024, 7535, 267, 568, 513, 5929, 543, 7580, 3014, 602, 7569, 8856, 543, 4058, 269, 9521, 476, 279, 1532, 718, 610, 476, 280, 1532, 718, 267, 1141, 5716, 1445, 593, 533, 1442, 7566, 1808, 11084, 267, 18135, 697, 623, 944, 3340, 6024, 29238, 540, 1022, 3440, 593, 519, 3349, 2394, 513, 1978, 6060, 568, 6603, 269, 901, 8390, 7512, 5716, 547, 5402, 2015, 1142, 8929, 267, 10771, 5578, 995, 29692, 3440, 1852, 543, 7580, 17568, 563, 289, 1678, 623, 944, 281, 29923, 519, 3203, 540, 30914, 1744, 1824, 454, 289, 1678, 623, 944, 568, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 297, 2794, 543, 7136, 2946, 1744, 1824, 257, 607, 851, 540, 834, 9915, 3036, 4811, 1299, 23414, 3918, 9569, 1315, 623, 944, 267, 9291, 328, 1841, 267, 10965, 809, 518, 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, 7170, 281, 4197, 14134, 338, 543, 4256, 17583, 547, 20154, 640, 692, 5970, 596, 2479, 1185, 513, 2731, 12667, 5326, 602, 5433, 865, 1483, 596, 1223, 1869, 3314, 621, 950, 596, 530, 5803, 909, 286, 2107, 6148, 596, 4312, 1185, 513, 9490, 4743, 602, 1945, 729, 13057, 596, 2509, 1818, 513, 1978, 3375, 286, 10801, 1686, 267, 1082, 4529, 1472, 519, 1158, 3494, 602, 9909, 666, 581, 3532, 6835, 689, 14326, 610, 1256, 824, 16447, 569, 7919, 269, 2913, 781, 2263, 875, 930, 7087, 9082, 2070, 741, 9909, 543, 1946, 789, 2015, 873, 1271, 4296, 547, 519, 5289, 7706, 2439, 4089, 476, 272, 281, 1548, 3657, 14134, 338, 2496, 291, 3195, 338, 616, 10416, 2984, 602, 707, 2634, 6645, 596, 1247, 596, 3207, 269, 1358, 4755, 1282, 1114, 5933, 540, 707, 3207, 4783, 267, 855, 1034, 12300, 9909, 2049, 1282, 4028, 3750, 3350, 630, 3918, 300, 264, 3207, 269, 4438, 31087, 3207, 267, 707, 2634, 2534, 4679, 267, 4929, 811, 7920, 9909, 3379, 547, 1875, 268, 1905, 573, 3750, 3350, 630, 301, 3918, 300, 264, 3207, 780, 4131, 781, 1589, 827, 1018, 649, 917, 827, 9909, 1210, 606, 1383, 281, 5994, 596, 941, 4730, 513, 3014, 3544, 593, 513, 13566, 1554, 1354, 2469, 547, 5127, 269, 13536, 602, 3781, 267, 596, 1522, 5326, 827, 1373, 13964, 896, 519, 6505, 6607, 267, 4881, 11884, 998, 4610, 540, 7381, 6371, 269, 901, 1826, 540, 5326, 949, 2992, 707, 2487, 2833, 543, 4664, 4448, 547, 7836, 942, 3544, 2348, 1187, 780, 4089, 476, 273, 281, 14134, 338, 538, 7087, 27639, 692, 6624, 7087, 2950, 2066, 3345, 3013, 3180, 2620, 2463, 585, 9909, 543, 22649, 1317, 789, 7866, 4030, 883, 835, 779, 1272, 2619, 543, 4276, 547, 2470, 267, 11937, 267, 543, 519, 29763, 269, 1280, 3236, 267, 519, 1323, 880, 2088, 23042, 1004, 1289, 9909, 834, 321, 11867, 1690, 10247, 2437, 799, 1797, 968, 323, 3195, 892, 610, 968, 9679, 1848, 1677, 873, 267, 536, 11867, 1690, 10247, 6411, 899, 513, 8115, 8220, 721, 547, 2789, 7516, 1107, 2168, 4641, 267, 18577, 8823, 267, 543, 5289, 5583, 780, 31714, 945, 4309, 1713, 10752, 610, 5528, 3842, 741, 9909, 616, 3006, 9833, 607, 3401, 267, 12115, 619, 267, 610, 1650, 339, 25527, 1851, 741, 11031, 1813, 547, 519, 2956, 5116, 2390, 971, 5289, 13341, 269, 1452, 2043, 946, 741, 4121, 7326, 547, 948, 1732, 741, 2950, 543, 8190, 2686, 6561, 780, 4089, 476, 274, 281, 1215, 2052, 1284, 4045, 2060, 3776, 14134, 338, 2496, 21010, 532, 609, 707, 1378, 9909, 3085, 1405, 8209, 1611, 8391, 7096, 5289, 6835, 1318, 2476, 269, 1717, 267, 8026, 11009, 543, 1582, 26190, 666, 3986, 707, 1620, 540, 707, 32436, 4555, 543, 4606, 269, 1635, 3257, 865, 267, 596, 786, 1376, 9301, 3270, 267, 6698, 267, 610, 4798, 602, 556, 24593, 538, 707, 9909, 267, 3850, 596, 547, 5660, 741, 1761, 4644, 1732, 780, 2080, 616, 930, 2241, 3268, 547, 2253, 3695, 707, 9909, 1384, 272, 269, 5901, 513, 5326, 4760, 22290, 707, 5127, 269, 3503, 1524, 1022, 3877, 596, 11291, 5612, 2390, 31135, 269, 3683, 942, 267, 18596, 2609, 949, 10836, 563, 273, 269, 9523, 707, 9909, 609, 2828, 610, 1920, 2818, 269, 9181, 532, 707, 9909, 1522, 1291, 547, 8906, 827, 3838, 2833, 610, 1455, 4145, 563, 274, 269, 14484, 593, 707, 3232, 2238, 543, 4664, 269, 6333, 952, 972, 616, 1022, 21374, 1063, 2621, 538, 707, 24971, 3108, 543, 1346, 538, 707, 9909, 780, 8855, 267, 3025, 781, 5326, 3460, 568, 2189, 269, 2142, 3461, 543, 1930, 16490, 607, 596, 1451, 547, 6330, 707, 6418, 8916, 543, 1921, 609, 519, 4514, 3344, 540, 3054, 543, 519, 7122, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 258, 6507, 273, 661, 577, 3996, 540, 14326, 29681, 454, 289, 11867, 1690, 10247, 281, 12267, 540, 5295, 454, 2421, 26637, 15281, 10247, 715, 797, 514, 1520, 2401, 543, 2441, 710, 631, 7416, 517, 797, 1074, 933, 8055, 630, 539, 6002, 994, 307, 528, 15193, 281, 1401, 850, 661, 1885, 267, 476, 1001, 280, 454, 259, 2641, 269, 4817, 1315, 476, 7818, 14028, 6021, 277, 279, 6078, 276, 454, 18800, 539, 676, 14205, 3570, 1325, 874, 2945, 609, 31929, 12049, 9581, 517, 454, 289, 11867, 1690, 10247, 281, 12267, 540, 5295, 568, 513, 4015, 540, 2110, 2984, 2854, 676, 11157, 8696, 7087, 4589, 689, 25725, 6816, 267, 2221, 1634, 607, 4516, 269, 634, 2984, 1934, 4196, 607, 29946, 585, 7087, 1004, 602, 2709, 2123, 6589, 540, 519, 10723, 5858, 281, 938, 24570, 267, 24971, 6228, 267, 9909, 267, 7972, 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 ]
[ 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, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 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, 5629, 2390, 513, 942, 267, 972, 729, 513, 2186, 812, 3957, 19869, 592, 22416, 1731, 269, 1261, 6068, 1565, 827, 1114, 4529, 543, 10764, 267, 2523, 5771, 269, 2290, 1554, 267, 646, 4956, 547, 2671, 1010, 2648, 585, 5771, 609, 1866, 676, 4358, 1945, 1572, 834, 15404, 3916, 2871, 3660, 570, 2293, 3010, 30948, 616, 11461, 19150, 8119, 596, 1522, 2307, 269, 4270, 267, 4952, 2469, 593, 513, 1187, 7045, 547, 3643, 1007, 4025, 543, 1451, 3579, 1919, 256, 589, 6738, 5346, 2982, 596, 1472, 543, 6645, 596, 4277, 5013, 543, 2984, 827, 1018, 596, 1294, 269, 2334, 781, 4010, 1018, 513, 11461, 4663, 568, 899, 267, 855, 4481, 5059, 593, 3450, 1004, 827, 5771, 543, 922, 3638, 1686, 538, 6628, 780, 6781, 323, 592, 22416, 1731, 2968, 6628, 781, 1101, 3318, 7332, 4663, 3391, 1317, 646, 6594, 2182, 543, 4121, 865, 1454, 827, 7332, 1686, 538, 6628, 269, 4658, 941, 27086, 676, 782, 519, 4241, 2984, 543, 2189, 4609, 789, 3893, 547, 2263, 1282, 1010, 19150, 269, 1358, 2451, 4743, 6126, 543, 8049, 547, 917, 1256, 811, 2439, 3086, 1577, 803, 2995, 596, 827, 835, 2027, 851, 540, 891, 19150, 910, 9683, 4190, 5656, 1634, 607, 17018, 13196, 269, 5620, 596, 2479, 4862, 540, 513, 17018, 4302, 1354, 286, 898, 781, 513, 1747, 1141, 12356, 979, 547, 7281, 267, 2147, 547, 875, 707, 1920, 949, 979, 547, 5939, 610, 11454, 269, 1809, 17018, 13196, 666, 1413, 3833, 1114, 982, 824, 3909, 5656, 269, 2052, 596, 7058, 1946, 286, 8786, 267, 621, 781, 1317, 1142, 2528, 814, 922, 1378, 2189, 1259, 540, 2679, 1919, 256, 1656, 950, 12356, 3357, 547, 2661, 538, 6628, 1082, 1296, 3516, 267, 789, 3710, 17681, 17018, 13196, 1210, 3703, 6189, 1247, 5329, 3020, 547, 741, 5132, 780, 3080, 540, 1346, 15999, 3889, 568, 1318, 1934, 538, 5507, 282, 634, 5101, 5507, 17018, 4302, 256, 2913, 781, 27642, 649, 2811, 11836, 19869, 592, 22416, 1731, 781, 4663, 543, 3802, 936, 547, 1491, 513, 6251, 1413, 269, 1306, 4166, 607, 649, 12446, 267, 596, 5469, 519, 10477, 9486, 269, 1411, 4898, 267, 834, 3963, 798, 789, 1413, 899, 602, 8119, 4279, 2243, 256, 8409, 10875, 6272, 616, 2965, 2813, 609, 6263, 4773, 540, 4837, 1572, 26911, 4837, 269, 1358, 1106, 3270, 543, 5546, 6273, 676, 2470, 543, 12166, 3029, 1336, 1369, 9099, 3203, 269, 6733, 5702, 267, 543, 596, 1522, 1265, 6801, 267, 5810, 267, 543, 3303, 1023, 269, 1215, 8748, 1131, 621, 581, 952, 649, 1223, 1118, 971, 7168, 5961, 856, 540, 7745, 4837, 695, 1841, 31841, 3719, 7227, 267, 945, 781, 4947, 909, 519, 3268, 2509, 721, 286, 7937, 267, 621, 5654, 899, 2576, 6499, 547, 2161, 32597, 256, 2701, 12857, 9887, 607, 2549, 4275, 267, 513, 7874, 8004, 2673, 547, 707, 2085, 4171, 1920, 4422, 547, 519, 5101, 5507, 17018, 4302, 1169, 3018, 269, 834, 25898, 596, 899, 547, 2097, 3330, 543, 1397, 596, 1141, 3214, 1404, 543, 3006, 948, 5965, 1426, 585, 17493, 2621, 8119, 1352, 12134, 269, 2986, 1576, 267, 649, 1131, 256, 1284, 1246, 1200, 998, 519, 13675, 543, 4734, 938, 10887, 28426, 11231, 1985, 547, 3025, 3116, 781, 2282, 519, 7450, 780, 2026, 649, 1900, 883, 519, 1292, 11755, 10689, 267, 596, 3154, 335, 538, 25713, 269, 5272, 10759, 540, 519, 6821, 543, 18109, 568, 4988, 538, 6946, 12428, 30951, 543, 27536, 18305, 269, 834, 32452, 267, 621, 781, 899, 1373, 3330, 513, 9649, 25989, 573, 24005, 10590, 596, 608, 8010, 269, 2549, 4275, 17254, 326, 956, 543, 6941, 602, 891, 23598, 5749, 1405, 1152, 4190, 282, 789, 849, 4196, 607, 23106, 540, 2696, 781, 10752, 543, 6835, 2429, 519, 2230, 269, 3807, 1589, 827, 2348, 11121, 1913, 4478, 596, 10876, 596, 979, 2439, 2791, 1287, 5544, 513, 1804, 11308, 2497, 609, 3880, 1782, 22311, 16841, 269, 834, 6546, 781, 519, 631, 8811, 4599, 2437, 3081, 2549, 4275, 15738, 4724, 621, 269, 834, 2005, 2337, 721, 3314, 799, 4287, 2725, 17433, 568, 950, 649, 7281, 1927, 269, 6423, 1250, 3158, 9849, 513, 2212, 24249, 325, 286, 769, 5771, 267, 2021, 3442, 547, 5957, 873, 607, 513, 1129, 540, 2463, 543, 20174, 3010, 6524, 6028, 267, 596, 1205, 547, 2119, 8949, 16152, 5423, 676, 13538, 538, 519, 2146, 10051, 269, 1703, 616, 6653, 7389, 267, 29511, 344, 7663, 657, 553, 4904, 609, 5388, 267, 543, 25858, 344, 3694, 1572, 14255, 534, 269, 2991, 982, 6362, 2549, 4275, 543, 530, 3058, 1434, 25742, 267, 19869, 592, 22416, 1731, 5012, 596, 1394, 3544, 7713, 602, 4687, 6980, 543, 4543, 1866, 568, 1271, 538, 5771, 780, 4002, 707, 1259, 1753, 267, 10452, 593, 707, 3078, 3460, 267, 596, 8275, 875, 5863, 621, 568, 602, 1004, 689, 3309, 10080, 543, 4978, 666, 5531, 543, 5660, 1142, 824, 781, 9821, 543, 5389, 269, 5808, 6785, 3695, 7332, 1686, 543, 2528, 1223, 581, 865, 17175, 543, 23429, 286, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 5331, 519, 7332, 6561, 1459, 693, 930, 540, 519, 1283, 5177, 15805, 9634, 267, 3004, 325, 531, 3258, 12384, 267, 31689, 30745, 267, 853, 269, 6754, 779, 24130, 267, 547, 2012, 1175, 513, 1906, 269, 4270, 267, 16199, 531, 21094, 6628, 6770, 713, 1686, 547, 1769, 267, 3366, 676, 6628, 779, 1101, 24015, 11727, 7332, 4663, 3391, 267, 19869, 592, 30538, 531, 1731, 29114, 528, 269, 2060, 606, 11566, 476, 276, 265, 25676, 3849, 6665, 528, 8039, 741, 1445, 568, 2870, 12300, 2833, 540, 7332, 6561, 19150, 538, 6628, 269, 901, 568, 8537, 540, 15882, 267, 26847, 543, 9923, 13196, 1932, 563, 2171, 2911, 547, 13653, 19869, 592, 30538, 531, 1731, 29114, 528, 827, 1010, 9837, 3297, 2870, 7332, 2871, 3660, 19150, 267, 1946, 649, 991, 547, 2445, 938, 1378, 2984, 543, 1459, 938, 1378, 6561, 267, 543, 1010, 4555, 593, 519, 6041, 543, 10014, 540, 7332, 1148, 543, 6561, 538, 13416, 2686, 5238, 563, 1432, 3366, 596, 547, 1711, 7332, 2871, 3660, 19150, 543, 875, 1705, 596, 1831, 6628, 779, 1101, 24015, 11727, 7332, 4663, 3391, 888, 7712, 14291, 547, 5771, 594, 4312, 2141, 1185, 606, 1719, 538, 15388, 7332, 1686, 540, 6628, 269, 4107, 12356, 530, 518, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 15215, 1315, 5771, 1315, 9099, 3203, 267, 15339, 267, 1299, 9177, 267, 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, 8080, 547, 606, 3078, 1007, 1158, 1141, 3381, 3756, 543, 1483, 8996, 26065, 2097, 1927, 256, 4653, 267, 649, 2811, 2469, 547, 1451, 827, 875, 1079, 3579, 3549, 267, 7591, 321, 924, 543, 12443, 12455, 267, 723, 32524, 547, 1711, 1945, 5863, 585, 32266, 899, 596, 269, 1809, 1101, 267, 1577, 781, 1174, 945, 891, 3549, 616, 543, 1018, 789, 798, 780, 25440, 321, 924, 568, 513, 2754, 602, 2306, 621, 2009, 585, 1004, 547, 1404, 3756, 593, 741, 11436, 543, 7118, 12587, 1175, 676, 4730, 269, 1452, 12587, 1223, 581, 4376, 689, 26345, 31496, 267, 15813, 19269, 267, 10516, 6486, 547, 707, 5172, 8637, 267, 610, 1256, 2189, 3059, 2445, 17156, 1107, 3688, 596, 666, 1152, 1265, 2228, 256, 1215, 1187, 568, 602, 26834, 5994, 15980, 13000, 610, 13344, 3274, 676, 11981, 707, 11080, 942, 1310, 1153, 610, 1282, 32300, 609, 2828, 269, 16319, 9735, 267, 1318, 2496, 3086, 267, 1577, 803, 6338, 596, 547, 12443, 12455, 269, 6056, 540, 873, 607, 27568, 2220, 334, 14563, 538, 547, 948, 824, 10509, 3549, 1118, 1919, 5488, 543, 811, 1942, 15807, 269, 1358, 1683, 513, 2027, 1907, 1572, 834, 299, 9707, 476, 273, 18440, 3070, 2437, 799, 6411, 899, 513, 9059, 2881, 2692, 7735, 585, 7270, 3710, 1210, 21578, 630, 320, 2442, 3760, 1031, 547, 1628, 18228, 3156, 1040, 1635, 4946, 713, 9589, 2881, 2692, 5818, 267, 8852, 1831, 18334, 543, 14949, 1765, 14708, 3025, 6126, 267, 2523, 950, 6266, 540, 1004, 946, 1346, 4609, 693, 2899, 2439, 3383, 267, 1018, 4523, 950, 7591, 321, 924, 6887, 909, 609, 12443, 12455, 286, 4270, 267, 4952, 9256, 10217, 13365, 609, 23739, 14859, 282, 14384, 267, 789, 2811, 1390, 267, 855, 1927, 267, 789, 1711, 1945, 5963, 9058, 256, 2334, 781, 4010, 1018, 5949, 1934, 269, 2060, 12443, 12455, 781, 3432, 344, 543, 10097, 2029, 267, 7591, 321, 924, 666, 1631, 2709, 922, 6909, 29863, 1995, 593, 519, 9893, 269, 8786, 267, 596, 1224, 602, 7157, 910, 4166, 267, 596, 3513, 581, 2111, 547, 7118, 543, 1378, 3059, 7221, 998, 707, 5172, 5985, 3756, 2439, 1432, 1281, 713, 1611, 585, 596, 286, 1306, 513, 1647, 1153, 2875, 5461, 538, 11080, 543, 2348, 1187, 267, 713, 11450, 3091, 1896, 5383, 1384, 272, 269, 674, 2120, 3690, 9146, 4325, 2644, 281, 3143, 991, 547, 7227, 1472, 11014, 1354, 8391, 707, 1134, 17393, 5703, 1434, 625, 256, 12443, 12455, 5849, 2879, 7026, 6765, 2053, 865, 602, 596, 666, 2972, 707, 12587, 19692, 2864, 982, 2663, 780, 273, 269, 13722, 26959, 281, 4595, 12443, 12455, 6971, 3154, 12375, 630, 7474, 781, 1175, 513, 16681, 2012, 585, 6263, 11834, 10997, 1070, 972, 781, 811, 4055, 2451, 538, 519, 6578, 585, 1732, 12587, 543, 811, 7928, 10311, 2439, 274, 269, 24344, 13574, 11429, 281, 8729, 547, 519, 1379, 540, 9893, 2029, 267, 3388, 596, 7118, 3788, 16523, 9108, 543, 19918, 269, 1411, 666, 4123, 267, 2671, 610, 1832, 707, 3059, 2445, 17156, 607, 6169, 540, 782, 519, 12473, 11080, 8090, 596, 4810, 780, 275, 269, 5890, 21505, 10794, 932, 7860, 281, 2859, 9367, 1522, 6443, 4229, 609, 7591, 321, 924, 1813, 547, 12443, 12455, 781, 3608, 1062, 267, 4611, 538, 1585, 13858, 10643, 3773, 547, 519, 4015, 269, 1924, 3251, 22934, 1317, 811, 10761, 19179, 1080, 2439, 763, 2104, 5654, 6505, 585, 32266, 10876, 607, 5499, 4066, 19467, 547, 3986, 938, 2833, 269, 5901, 707, 4064, 22019, 539, 585, 519, 10131, 540, 713, 9735, 5698, 1369, 519, 1985, 1906, 3275, 269, 19402, 1287, 267, 1205, 4712, 547, 7832, 593, 11995, 9035, 2066, 3309, 5691, 10600, 267, 10655, 12600, 12587, 2059, 519, 1259, 269, 8414, 11080, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 1805, 919, 543, 5013, 827, 519, 7591, 321, 924, 1535, 12443, 12455, 5698, 454, 268, 1548, 568, 7591, 321, 924, 286, 7591, 321, 924, 568, 513, 5985, 3756, 3760, 602, 12587, 3755, 585, 4730, 3756, 269, 24812, 666, 7118, 17914, 585, 4730, 3756, 267, 799, 666, 1287, 581, 28099, 14855, 585, 26065, 267, 971, 607, 17711, 267, 11418, 267, 10516, 6486, 267, 543, 3059, 2445, 17156, 563, 268, 1548, 568, 12443, 12455, 286, 12443, 12455, 568, 513, 23771, 476, 273, 18440, 3070, 585, 21578, 269, 898, 3096, 1990, 330, 268, 2651, 5725, 547, 2087, 11834, 11250, 543, 2569, 3154, 12375, 563, 268, 1548, 568, 519, 5698, 827, 286, 634, 7591, 321, 924, 1535, 12443, 12455, 5698, 786, 3142, 7591, 321, 924, 779, 5985, 3756, 3760, 547, 519, 9893, 269, 901, 786, 1450, 3755, 547, 7118, 543, 1378, 3059, 7221, 585, 4730, 3756, 563, 268, 1548, 616, 519, 2640, 540, 519, 5698, 286, 634, 5698, 786, 4324, 1312, 7591, 321, 924, 543, 12443, 12455, 269, 7591, 321, 924, 786, 2744, 1569, 547, 12443, 12455, 779, 27249, 543, 5150, 5989, 267, 1247, 12443, 12455, 786, 2744, 4598, 547, 7591, 321, 924, 779, 1804, 3593, 3490, 563, 268, 1879, 786, 519, 5698, 979, 2661, 286, 634, 5698, 568, 4397, 547, 979, 2661, 538, 519, 4947, 3275, 563, 2080, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10403, 15026, 6478, 9612, 10658, 26072, 1280, 3689, 27240, 619, 1107, 9612, 532, 585, 10881, 547, 513, 9814, 568, 2356, 13858, 267, 543, 5131, 15026, 6478, 9612, 10658, 26072, 1280, 3689, 27240, 619, 666, 948, 8207, 602, 4278, 14525, 538, 513, 5393, 1187, 1259, 269, 5753, 2648, 547, 1404, 891, 3756, 3274, 1317, 789, 616, 2731, 2653, 547, 1685, 543, 2943, 865, 2352, 693, 519, 3169, 1482, 942, 269, 3371, 779, 875, 547, 1404, 5131, 15026, 6478, 9612, 10658, 26072, 1280, 3689, 27240, 619, 563, 1103, 519, 2680, 596, 723, 3214, 267, 789, 4440, 740, 648, 547, 1404, 5131, 15026, 6478, 9612, 10658, 26072, 1280, 3689, 27240, 619, 269, 1452, 616, 10416, 11015, 12545, 602, 596, 3274, 666, 1820, 269, 1411, 666, 3605, 873, 2228, 610, 693, 1034, 10685, 15945, 269, 1306, 4166, 607, 596, 1205, 707, 13410, 9102, 267, 1175, 4452, 873, 883, 707, 2780, 267, 4452, 909, 519, 795, 12127, 1177, 11015, 7328, 602, 596, 3274, 899, 267, 543, 596, 616, 5423, 547, 1685, 930, 8360, 3168, 540, 707, 2123, 563, 27736, 740, 648, 713, 1826, 540, 11015, 267, 1317, 789, 666, 798, 1896, 18312, 2010, 540, 873, 269, 1358, 666, 581, 2834, 795, 12127, 1177, 13410, 789, 666, 946, 538, 1082, 1114, 2409, 267, 610, 789, 616, 2111, 547, 581, 2189, 7792, 2262, 19707, 602, 1331, 5528, 593, 875, 547, 8207, 519, 11015, 269, 1280, 1383, 267, 952, 519, 11015, 7569, 596, 547, 1826, 968, 27594, 892, 538, 519, 1413, 1575, 4216, 267, 2705, 596, 1174, 602, 596, 4867, 917, 1018, 602, 2262, 568, 267, 1287, 596, 666, 1826, 538, 968, 2041, 14410, 892, 610, 968, 335, 6269, 344, 2915, 6100, 3502, 1175, 786, 713, 2285, 596, 606, 3606, 8360, 547, 2408, 585, 538, 519, 11015, 267, 855, 621, 786, 849, 1118, 707, 1126, 3494, 540, 519, 2140, 540, 519, 7328, 789, 616, 4730, 1107, 602, 786, 1118, 873, 723, 513, 811, 3742, 543, 13858, 11015, 2336, 5194, 1390, 3364, 827, 7792, 2262, 19707, 568, 789, 616, 9735, 547, 2285, 547, 1453, 547, 948, 873, 1451, 1007, 1913, 269, 17166, 585, 1383, 602, 596, 2461, 3246, 513, 1453, 779, 11015, 547, 513, 3355, 1178, 1457, 543, 596, 917, 602, 1352, 568, 16144, 547, 1205, 519, 8360, 968, 27594, 892, 4636, 269, 1403, 1352, 7475, 909, 3478, 519, 8360, 11234, 267, 596, 616, 2111, 547, 8806, 2186, 538, 519, 8360, 538, 519, 3406, 4216, 543, 723, 621, 12446, 909, 609, 606, 3236, 540, 519, 1318, 8360, 269, 901, 1223, 948, 519, 3355, 1178, 1457, 1205, 1031, 547, 519, 2856, 540, 12805, 1079, 5022, 543, 12805, 873, 1927, 269, 898, 1223, 849, 2226, 1200, 689, 13844, 519, 8360, 11234, 950, 1352, 568, 4280, 519, 13214, 602, 596, 917, 568, 11234, 563, 2791, 666, 3605, 5131, 15026, 6478, 9612, 10658, 26072, 1280, 3689, 27240, 619, 693, 5176, 1022, 1433, 4558, 610, 9036, 3761, 6300, 269, 11048, 267, 596, 1058, 581, 2386, 547, 2015, 513, 1906, 3764, 547, 1353, 3842, 519, 11015, 1354, 8228, 621, 269, 4107, 3214, 786, 5660, 7900, 713, 267, 1317, 789, 786, 1205, 547, 798, 930, 3364, 789, 4440, 9327, 1406, 7363, 723, 519, 2702, 547, 798, 269, 6145, 602, 789, 786, 3605, 782, 540, 519, 2953, 8239, 3652, 607, 1134, 607, 10259, 741, 1378, 4408, 563, 4322, 13410, 949, 581, 513, 2603, 540, 11791, 585, 3214, 547, 1404, 609, 269, 898, 568, 1898, 547, 2226, 538, 4555, 602, 7792, 13410, 616, 711, 5078, 585, 782, 1453, 547, 1404, 609, 269, 3509, 540, 891, 7792, 13410, 1331, 4730, 609, 1913, 267, 799, 666, 711, 581, 5078, 585, 782, 1453, 945, 616, 1565, 875, 547, 1353, 269, 12846, 267, 891, 13410, 666, 9090, 1683, 3108, 540, 11791, 267, 952, 789, 616, 5645, 856, 2953, 269, 0, 12441, 2096, 657, 7338, 282, 27149, 11152, 5206, 912, 11039, 267, 649, 2811, 1869, 9800, 563, 8133, 267, 855, 789, 10093, 1405, 1256, 3893, 519, 3364, 909, 547, 2407, 3432, 2943, 269, 898, 18387, 1405, 1256, 18965, 5536, 5488, 982, 674, 1069, 559, 629, 781, 1855, 341, 520, 1258, 693, 713, 1448, 269, 630, 763, 1855, 341, 520, 1258, 568, 513, 9325, 5787, 1807, 538, 13325, 267, 7330, 602, 568, 4867, 519, 1158, 781, 5207, 1648, 11046, 1159, 553, 615, 4700, 634, 1855, 341, 520, 1258, 5787, 919, 5536, 547, 476, 280, 3199, 2983, 309, 454, 14116, 27004, 6173, 339, 1258, 24311, 264, 543, 26301, 873, 2212, 593, 267, 585, 513, 2698, 1648, 540, 476, 3422, 271, 2983, 309, 454, 269, 1924, 2484, 519, 700, 18449, 814, 1152, 8854, 909, 547, 827, 476, 4335, 2983, 309, 454, 528, 865, 267, 543, 789, 10093, 1405, 2944, 1022, 21611, 2943, 269, 769, 513, 7008, 540, 4374, 2705, 267, 519, 700, 18449, 1058, 581, 1159, 4770, 22571, 883, 1142, 824, 609, 513, 2698, 16580, 1648, 540, 476, 1015, 267, 1822, 2983, 309, 454, 269, 1656, 1287, 538, 519, 5614, 594, 4862, 789, 2811, 9277, 547, 1205, 621, 909, 547, 513, 16580, 1648, 540, 476, 1691, 267, 1822, 2983, 309, 454, 269, 1924, 952, 649, 2811, 547, 1205, 7166, 676, 1018, 519, 700, 18449, 568, 3257, 621, 786, 1869, 4440, 581, 513, 7008, 540, 4374, 1354, 621, 4523, 269, 2986, 1576, 267, 649, 2811, 711, 9277, 547, 1205, 7166, 267, 519, 21575, 2161, 563, 12441, 2096, 657, 7338, 282, 27149, 11152, 5206, 912, 22091, 2400, 267, 855, 4277, 8798, 269, 594, 6415, 6126, 547, 1294, 621, 909, 543, 4881, 269, 16593, 649, 1451, 1945, 585, 938, 17542, 540, 9489, 538, 5092, 563, 296, 729, 3168, 693, 606, 2376, 19108, 827, 930, 540, 519, 8441, 602, 723, 2097, 689, 713, 2186, 540, 1382, 269, 3371, 781, 930, 8711, 912, 1103, 476, 6245, 278, 808, 12282, 269, 774, 1682, 517, 4362, 519, 6475, 267, 1210, 513, 2186, 540, 9325, 5787, 1807, 267, 513, 30932, 18422, 8546, 267, 602, 18965, 513, 11237, 540, 11874, 9901, 5536, 1063, 5122, 23525, 543, 1500, 513, 8485, 2803, 1417, 3039, 16657, 1472, 519, 2318, 12363, 269, 630, 310, 559, 25030, 10162, 550, 2102, 1185, 1031, 713, 1482, 3926, 538, 476, 6245, 276, 538, 1010, 6602, 540, 519, 9325, 20832, 602, 5795, 721, 1535, 11920, 2029, 4700, 6869, 1712, 18422, 13740, 1210, 713, 1482, 6240, 540, 9325, 10231, 1631, 1694, 538, 8613, 5036, 538, 7366, 540, 6634, 540, 1977, 5321, 267, 543, 22113, 519, 13819, 540, 6634, 540, 5904, 543, 3621, 543, 2564, 7405, 563, 1103, 476, 5002, 280, 267, 1053, 538, 519, 8047, 540, 21997, 29527, 681, 9801, 5112, 9859, 13672, 5536, 689, 513, 26686, 540, 9178, 532, 2234, 1756, 693, 9212, 540, 4154, 23240, 269, 634, 6397, 1259, 519, 5536, 16559, 950, 789, 5734, 519, 23240, 3366, 681, 9801, 5112, 547, 519, 6602, 540, 519, 10570, 13540, 538, 476, 4489, 272, 269, 681, 9801, 5112, 781, 6602, 729, 513, 3621, 20014, 4464, 269, 1717, 267, 1100, 835, 267, 2547, 540, 782, 681, 9801, 5112, 5128, 267, 22509, 1177, 519, 11999, 4539, 621, 1131, 723, 269, 681, 9801, 5112, 568, 4080, 547, 723, 1767, 267, 834, 12179, 821, 945, 26770, 513, 2707, 540, 1379, 689, 519, 7004, 540, 891, 8444, 568, 6158, 24262, 21331, 1701, 1261, 1500, 1010, 3948, 2947, 1296, 1354, 519, 1101, 17431, 540, 6046, 31612, 269, 681, 9801, 5112, 781, 1913, 723, 606, 4401, 545, 8258, 538, 513, 1158, 9927, 676, 6046, 1648, 563, 1103, 519, 476, 4572, 271, 338, 267, 2810, 1239, 689, 8097, 8906, 827, 519, 2470, 540, 519, 11046, 3366, 547, 519, 3069, 540, 519, 2497, 543, 2623, 540, 8444, 649, 1289, 7061, 11707, 267, 543, 547, 606, 19039, 569, 1007, 1620, 540, 2470, 269, 3245, 713, 1007, 1702, 3357, 22795, 543, 3859, 2281, 543, 267, 538, 476, 3707, 278, 267, 519, 6602, 540, 519, 24923, 267, 519, 4493, 540, 782, 2413, 11418, 543, 519, 2085, 540, 1344, 563, 26239, 577, 8527, 1258, 5982, 814, 1831, 606, 16832, 1907, 585, 5215, 540, 3173, 538, 971, 4610, 607, 2326, 2257, 543, 4702, 267, 2627, 7998, 267, 24684, 267, 2564, 9196, 543, 2825, 2257, 563, 293, 1069, 559, 629, 910, 634, 2640, 540, 1164, 20589, 6323, 1382, 454, 1103, 519, 476, 4350, 271, 338, 267, 18039, 1419, 6854, 519, 7814, 582, 1258, 538, 20588, 4881, 782, 3781, 538, 1931, 547, 3132, 2614, 5925, 529, 582, 8554, 585, 4993, 10506, 547, 946, 538, 8156, 2860, 269, 1261, 3459, 513, 2245, 540, 1210, 5787, 2209, 585, 2564, 5868, 543, 2126, 269, 4653, 267, 2550, 4309, 2860, 2126, 1210, 20832, 540, 25268, 3812, 676, 5787, 2209, 4171, 1292, 2816, 568, 547, 3132, 22571, 585, 6323, 1382, 269, 769, 1776, 9354, 1935, 267, 7189, 693, 700, 5448, 27692, 2160, 6481, 4741, 1631, 1521, 936, 476, 1911, 2860, 2550, 1142, 1554, 609, 22571, 689, 513, 5348, 577, 8527, 1258, 2966, 543, 3710, 693, 674, 1069, 328, 2817, 24665, 1807, 12524, 269, 6481, 6703, 1472, 519, 1158, 616, 14236, 713, 2029, 269, 12430, 6475, 5787, 2209, 538, 5215, 540, 10506, 1472, 519, 1158, 1521, 6634, 540, 2860, 2550, 1169, 1032, 563, 20663, 8584, 3660, 29821, 267, 519, 29640, 11571, 267, 5310, 519, 1034, 1713, 4434, 538, 2564, 10237, 2762, 2094, 519, 476, 6245, 276, 6602, 540, 1535, 17530, 267, 12090, 538, 9325, 7020, 2409, 2919, 676, 1164, 20589, 21575, 269, 634, 5817, 11275, 2029, 585, 25080, 1763, 28585, 24919, 630, 28122, 264, 3357, 689, 9325, 6323, 1382, 269, 623, 21627, 1258, 2506, 2153, 8751, 2762, 630, 1492, 27946, 11571, 264, 3096, 14848, 540, 513, 1570, 2919, 585, 1164, 20589, 6323, 9325, 22572, 563, 5445, 5950, 519, 3018, 476, 272, 3356, 1867, 585, 519, 700, 18449, 19108, 563, 290, 30204, 1923, 700, 18449, 3689, 2142, 600, 910, 15937, 700, 18449, 14271, 11388, 5314, 4530, 513, 11773, 454, 294, 2940, 9366, 267, 476, 1240, 5181, 476, 1220, 279, 269, 2991, 513, 20498, 1376, 593, 476, 1015, 5181, 267, 519, 700, 18449, 10150, 513, 6404, 1101, 3018, 540, 10243, 532, 609, 11237, 269, 1677, 1205, 20832, 1472, 519, 8258, 538, 1312, 8846, 593, 519, 1101, 1554, 25295, 782, 6788, 267, 543, 519, 1967, 4797, 998, 519, 3781, 267, 609, 1896, 4627, 25057, 1373, 6913, 563, 763, 1985, 1900, 538, 519, 10243, 532, 1184, 568, 547, 3142, 538, 519, 5925, 23151, 630, 27184, 264, 1062, 602, 8952, 519, 20832, 536, 684, 3481, 267, 2864, 982, 10825, 856, 1472, 519, 8258, 267, 543, 786, 5555, 17108, 873, 547, 476, 278, 1855, 309, 269, 634, 16674, 1062, 1568, 676, 1412, 322, 2194, 1005, 262, 519, 11237, 267, 3432, 532, 909, 519, 14887, 3001, 5536, 543, 23646, 1524, 519, 5488, 3283, 865, 602, 519, 11237, 3788, 536, 684, 3481, 883, 5386, 16060, 827, 476, 1556, 4699, 1279, 269, 9453, 621, 267, 519, 11237, 3533, 26632, 919, 543, 3112, 581, 1031, 585, 6323, 563, 4002, 13628, 3781, 267, 476, 1556, 5181, 267, 11237, 1079, 267, 519, 4550, 12641, 1442, 3772, 11237, 267, 729, 9676, 543, 6933, 730, 585, 936, 3368, 606, 5662, 1354, 1373, 9108, 13939, 689, 519, 700, 18449, 269, 634, 1985, 1900, 568, 547, 10956, 519, 1184, 585, 11237, 835, 267, 543, 602, 568, 1305, 547, 2253, 713, 3018, 563, 763, 18060, 532, 942, 814, 1044, 6170, 23232, 3956, 8328, 2175, 1310, 519, 5821, 540, 513, 1379, 22155, 593, 835, 540, 519, 2627, 2798, 540, 519, 700, 18449, 23564, 1055, 519, 1292, 14771, 832, 540, 519, 3956, 4094, 923, 585, 1079, 9922, 540, 519, 3684, 269, 634, 22155, 267, 20604, 476, 1789, 19726, 543, 609, 513, 12773, 540, 476, 1321, 631, 22849, 267, 729, 22121, 936, 519, 15964, 269, 4438, 713, 1184, 267, 519, 3956, 4094, 923, 1062, 729, 2322, 883, 513, 1796, 2421, 7154, 609, 519, 1079, 9922, 6854, 693, 1472, 476, 275, 269, 276, 918, 269, 4595, 519, 4098, 540, 519, 3018, 519, 3956, 4094, 923, 2319, 723, 1044, 11112, 556, 2275, 944, 532, 519, 22197, 543, 8600, 585, 5106, 609, 11237, 267, 799, 568, 4867, 9472, 585, 2221, 269, 634, 1985, 3942, 540, 519, 10243, 532, 786, 581, 2582, 2490, 2090, 1210, 11237, 835, 267, 4553, 676, 16674, 7001, 543, 21883, 11237, 538, 1312, 14034, 563, 763, 700, 18449, 568, 593, 1576, 585, 1101, 21611, 538, 513, 2339, 540, 4374, 269, 8921, 9337, 476, 2190, 5181, 693, 519, 5767, 563, 4517, 972, 616, 930, 540, 741, 18785, 2592, 689, 519, 11237, 1934, 910, 595, 5960, 910, 27915, 5240, 454, 22746, 607, 713, 835, 281, 0, 4415, 13669, 28063, 593, 513, 5066, 267, 1480, 2924, 2443, 2523, 1346, 7282, 2021, 2443, 723, 2097, 896, 513, 8325 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1103, 1840, 547, 1373, 5488, 543, 849, 4443, 982, 513, 6671, 16028, 267, 16028, 3842, 25019, 814, 513, 2362, 2557, 540, 29077, 2094, 1312, 2621, 7255, 2474, 593, 519, 4579, 609, 1142, 824, 563, 1692, 6496, 898, 9577, 888, 288, 25358, 9668, 3322, 513, 1268, 1572, 513, 1920, 7939, 18657, 1807, 269, 901, 568, 606, 1367, 8036, 547, 5351, 1004, 4368, 741, 9668, 2152, 269, 1358, 960, 607, 519, 5872, 538, 1063, 519, 7008, 563, 763, 18657, 1807, 779, 960, 568, 547, 1294, 547, 621, 602, 16764, 814, 741, 7872, 547, 3717, 1510, 1373, 22314, 269, 1261, 11226, 2312, 909, 519, 2188, 602, 1312, 6105, 1118, 543, 849, 12134, 4145, 547, 2226, 519, 4901, 593, 519, 1318, 3950, 609, 2312, 5872, 563, 763, 18657, 1807, 786, 6157, 849, 2709, 596, 1344, 3823, 1175, 875, 519, 3656, 1062, 3252, 607, 1134, 607, 1018, 8925, 596, 666, 1491, 547, 2061, 873, 563, 2026, 513, 2898, 267, 596, 267, 707, 608, 24158, 267, 543, 519, 18657, 1807, 786, 6157, 1205, 609, 1142, 824, 538, 513, 1297, 540, 7886, 602, 4268, 538, 2450, 689, 835, 547, 1079, 31477, 563, 2691, 596, 786, 6157, 1463, 856, 519, 1919, 602, 2154, 547, 581, 9275, 827, 543, 4010, 875, 1271, 789, 616, 267, 519, 3355, 10554, 568, 269, 898, 779, 11338, 1141, 596, 786, 6157, 3605, 1169, 835, 540, 519, 12319, 596, 786, 991, 547, 5531, 909, 538, 1931, 547, 3432, 519, 5650, 2059, 563, 5804, 972, 593, 267, 596, 3580, 946, 1142, 10554, 547, 1865, 519, 1585, 598, 947, 687, 596, 991, 547, 1118, 538, 1931, 547, 11886, 1169, 1268, 779, 4170, 269, 634, 18657, 1807, 2488, 9623, 7282, 519, 3656, 1062, 607, 1134, 607, 4052, 23456, 585, 875, 1585, 824, 2043, 723, 2965, 18808, 609, 13380, 2042, 563, 4263, 930, 1448, 267, 596, 786, 6157, 2743, 606, 11460, 607, 1134, 607, 519, 18657, 1807, 5932, 621, 909, 585, 596, 607, 1134, 607, 707, 18607, 547, 29343, 563, 2690, 875, 1279, 6496, 898, 6875, 888, 10303, 1169, 7365, 543, 849, 1169, 9668, 568, 1585, 267, 519, 3070, 547, 713, 2243, 9775, 269, 1403, 596, 723, 513, 1390, 4308, 540, 22590, 602, 596, 991, 547, 8237, 267, 610, 952, 596, 607, 1134, 607, 707, 23947, 723, 513, 9157, 942, 7487, 3750, 547, 3750, 267, 621, 666, 1491, 513, 2603, 3476, 563, 2252, 596, 666, 1312, 2097, 547, 2474, 2864, 3362, 267, 596, 666, 581, 3168, 693, 513, 2731, 5618, 1184, 563, 16449, 519, 2101, 5383, 547, 9668, 998, 25019, 568, 519, 5168, 602, 596, 786, 711, 991, 547, 2408, 538, 5480, 269, 901, 6971, 519, 3259, 540, 942, 3648, 563, 1103, 2596, 267, 1454, 4443, 2665, 1491, 1472, 476, 274, 610, 2185, 1079, 16923, 7886, 602, 519, 18657, 1807, 21040, 936, 513, 1576, 540, 513, 3923, 610, 865, 563, 19350, 616, 513, 1906, 540, 1919, 602, 1860, 519, 2450, 540, 9668, 3842, 25019, 563, 2005, 1522, 1491, 513, 1247, 952, 596, 723, 513, 2898, 2603, 540, 2798, 602, 596, 991, 547, 5094, 269, 1703, 616, 1454, 811, 3664, 547, 1118, 563, 2252, 596, 723, 2965, 2097, 547, 513, 4579, 593, 7168, 1454, 8726, 543, 849, 3274, 723, 835, 610, 1079, 1919, 547, 1599, 856, 267, 519, 5650, 1522, 979, 12347, 563, 2467, 779, 1100, 8748, 1797, 547, 2322, 621, 281, 3214, 1118, 16028, 4101, 269, 1879, 621, 2501, 547, 2883, 6927, 267, 1004, 616, 3335, 11235, 547, 14207, 269, 1879, 596, 1331, 3214, 547, 519, 3575, 267, 621, 4991, 20202, 563, 2691, 621, 2501, 547, 519, 25330, 1222, 540, 707, 3214, 267, 18783, 547, 6108, 513, 1247, 538, 25019, 269, 1717, 621, 19262, 621, 267, 596, 7287, 1945, 602, 779, 1034, 532, 2693, 547, 960, 585, 782, 519, 2621, 1303, 9229, 563, 2467, 779, 1100, 8748, 1797, 547, 1747, 621, 281, 3214, 1118, 9668, 2182, 269, 15706, 616, 3335, 2469, 547, 28855, 1125, 950, 621, 3322, 13075, 2152, 269, 1717, 950, 596, 1039, 3214, 547, 519, 3575, 267, 621, 4991, 20202, 563, 2750, 1051, 547, 6108, 513, 1247, 538, 25019, 950, 621, 2501, 547, 519, 2922, 15209, 540, 707, 3214, 269, 898, 779, 4502, 621, 267, 596, 1616, 1945, 602, 779, 2469, 547, 1599, 585, 782, 519, 16873, 3769, 563, 5327, 790, 547, 3281, 668, 1047, 454, 7312, 18657, 1807, 666, 711, 2995, 596, 1018, 596, 991, 547, 798, 269, 1358, 798, 711, 1118, 519, 5079, 610, 1683, 9753, 269, 1358, 2461, 1152, 972, 547, 5351, 596, 1439, 9734, 543, 849, 2743, 513, 1455, 4579, 563, 2252, 596, 543, 707, 7649, 5749, 1406, 2469, 547, 11886, 538, 519, 1647, 593, 930, 2798, 267, 621, 779, 2469, 547, 1491, 11014, 563, 2467, 616, 513, 1297, 540, 8374, 602, 666, 1118, 707, 25019, 979, 513, 2370, 3476, 982, 3044, 269, 2334, 779, 1869, 513, 2370, 2557, 547, 2628, 950, 596, 2015, 519, 3902, 607, 1134, 607, 942, 602, 4422, 883, 513, 6093, 16028, 563, 2005, 779, 1360, 8966, 585, 513, 32682, 1424, 7008, 547, 7017, 593, 8726, 269, 1717, 1256, 952, 596, 666, 1406, 7017, 593, 10416, 4376, 267, 972, 568, 1869, 513, 1599, 3297, 25019, 563, 9827, 2921, 835, 610, 476, 273, 1919, 1055, 540, 519, 1592, 540, 25036, 666, 2759, 1524, 519, 2450, 540, 942, 596, 616, 538, 5480, 563, 1103, 1249, 267, 1256, 952, 596, 607, 1134, 607, 707, 23947, 666, 1406, 4383, 267, 972, 779, 1869, 2601, 547, 2119, 25019, 269, 6736, 519, 1249, 602, 15185, 945, 616, 7874, 7363, 3442, 713, 2619, 267, 621, 1281, 711, 2303, 621, 779, 513, 7939, 563, 2691, 4606, 2196, 1164, 267, 621, 779, 851, 540, 519, 18657, 1807, 779, 2816, 547, 948, 1312, 2621, 1921, 1256, 269, 898, 568, 15164, 547, 3489, 3842, 25019, 849, 538, 3871, 899, 891, 563, 31572, 6555, 13396, 3842, 2405, 2747, 454, 19667, 13396, 568, 2182, 267, 602, 779, 513, 2596, 4641, 269, 898, 779, 512, 3931, 543, 621, 666, 538, 930, 2665, 1118, 596, 3100, 899, 596, 1810, 1406, 1616, 547, 849, 4473, 538, 519, 6640, 269, 898, 1281, 711, 723, 547, 581, 602, 1797, 563, 2691, 596, 3442, 547, 960, 856, 9668, 609, 25019, 267, 596, 666, 1118, 9668, 607, 1928, 6954, 607, 15164, 563, 1789, 661, 7704, 28718, 3201, 5177, 674, 4456, 6579, 312, 32212, 8656, 3582, 674, 3722, 4811, 476, 1708, 272, 454, 20062, 2969, 4959, 674, 4456, 6579, 312, 32212, 8656, 3582, 888, 23991, 2405, 2747, 568, 519, 5650, 540, 20547, 4145, 593, 707, 9668, 267, 9668, 610, 5571, 15970, 1305, 5725, 269, 2776, 16227, 267, 952, 596, 1522, 711, 598, 2017, 593, 891, 6927, 267, 596, 1131, 6157, 723, 1100, 4244, 2705, 547, 3758, 606, 3498, 609, 519, 1920, 5480, 585, 2901, 513, 4132, 28081, 618, 11352, 610, 513, 5094, 3498, 585, 513, 11038, 11352, 269, 634, 5480, 1184, 3217, 513, 1279, 1974, 540, 942, 547, 1205, 547, 513, 7744, 267, 568, 7199, 607, 1134, 607, 538, 513, 2603, 540, 2665, 568, 711, 519, 1034, 2500, 1858, 547, 4308, 609, 7526, 267, 3226, 1369, 513, 1920, 4259, 563, 23991, 2405, 2747, 30283, 519, 10421, 540, 2469, 547, 5480, 269, 1635, 1210, 513, 11285, 1920, 18657, 1807, 267, 1082, 1004, 666, 1205, 547, 606, 11460, 602, 2636, 873, 1312, 547, 4163, 593, 563, 16352, 513, 9243, 476, 274, 6113, 5428, 547, 10038, 519, 6643, 267, 10018, 26027, 543, 14619, 1247, 3257, 865, 543, 15387, 7391, 593, 1919, 602, 2339, 269, 21661, 519, 2197, 267, 3152, 982, 476, 3583, 260, 540, 5561, 1205, 547, 4579, 998, 25019, 269, 2405, 5573, 5177, 6023, 547, 9585, 513, 476, 3445, 260, 1967, 3902, 585, 1346, 945, 1491, 1747, 547, 4745, 25019, 563, 23991, 25019, 568, 711, 2126, 610, 2078, 3797, 543, 15029, 621, 666, 2015, 4010, 875, 596, 1921, 609, 1142, 1585, 824, 267, 621, 568, 3648, 3823, 8600, 519, 2104, 543, 711, 3168, 1394, 936, 519, 2250, 563, 24445, 721, 2221, 543, 3717, 547, 513, 18657, 1807, 593, 476, 30033, 9826, 9826, 8064, 454, 2690, 1215, 7043, 11298, 2464, 32212, 8656, 3582, 25526, 17395, 888, 1607, 666, 4268, 689, 3236, 547, 3236, 269, 1280, 513, 835, 1966, 2339, 267, 971, 607, 15970, 1305, 5725, 693, 2473, 5733, 267, 513, 9702, 13383, 610, 513, 1689, 538, 519, 7274, 540, 838, 748, 531, 909, 18141, 1310, 602, 1082, 616, 2111, 547, 1205, 547, 6876, 538, 1175, 835, 4745, 476, 3445, 8792, 25019, 8400, 563, 763, 3044, 585, 1082, 7218, 593, 15970, 610, 2883, 2152, 568, 476, 274, 1535, 476, 3445, 18826, 25019, 20499, 563, 20062, 2969, 25526, 298, 2464, 12813, 19781, 11083, 589, 24696, 4456, 966, 3041, 3951, 888, 2791, 786, 7620, 2154, 547, 2347, 513, 16861, 25019, 10554, 1572, 513, 24696, 4456, 269, 1358, 666, 11338, 581, 4330, 607, 513, 4616, 5870, 269, 1452, 616, 2356, 15548, 538, 676, 3054, 267, 2943, 12212, 596, 666, 979, 609, 1142, 824, 269, 2073, 952, 713, 568, 519, 2013, 519, 18657, 1807, 786, 6157, 1869, 1616, 547, 10004, 547, 1142, 540, 596, 14384, 563, 763, 24696, 4456, 5713, 476, 273, 5301, 281, 563, 268, 898, 568, 707, 4960, 547, 1865, 547, 519, 18657, 1807, 7282, 707, 9183, 267, 1018, 519, 2042, 616, 267, 1018, 596, 1616, 547, 4755, 543, 849, 1022, 1826, 540, 2152, 596, 949, 723, 563, 268, 898, 11338, 6087, 519, 18657, 1807, 547, 2709, 596, 2407, 3877, 827, 4010, 875, 25019, 1568, 269, 634, 18657, 1807, 786, 6157, 1287, 3442, 2436, 25019, 3261, 919, 585, 707, 2013, 269, 1411, 1522, 849, 3313, 2436, 547, 2119, 25019, 693, 713, 3942, 849, 563, 20062, 2969, 4959, 5990, 674, 4456, 6579, 312, 32212, 8656, 3582, 11550, 290, 8577, 888, 12812, 519, 2095, 6516, 7396, 2630, 585, 2405, 5573, 5177, 685, 521, 1184, 269, 1284, 616, 1114, 689, 519, 5354, 540, 25019, 2533, 607, 649, 666, 11338, 1118, 596, 11460, 1876, 2685, 11006, 607, 5057, 540, 513, 30465, 5279, 1544, 563, 763, 2253, 540, 519, 5650, 568, 519, 3169, 1482, 2197, 2647, 269, 1284, 1131, 1294, 596, 14350, 693, 1101, 585, 707, 24696, 4456, 543, 849, 1287, 5965, 513, 1544, 585, 707, 4745, 25019, 19014, 269, 1284, 1131, 3335, 2689, 1022, 1826, 540, 15970, 1305, 5725, 1101, 267, 1354, 11264, 606, 2804, 23930, 609, 596, 1312, 607, 1134, 607, 1287, 18460, 707, 2883, 4579, 563, 2791, 1131, 3622, 723, 513, 1267, 5758, 5423, 693, 519, 1439, 540, 707, 4745, 19014, 543, 2899, 11460, 3893, 547, 267, 519, 18657, 1807, 666, 5965, 513, 2407, 15970, 4640, 267, 8357, 663, 636, 540, 1620, 607, 1134, 607, 2804, 4579, 563, 4322, 6054, 666, 1287, 581, 1500, 1876, 2685, 11006, 4470, 593, 707, 6381, 563, 23077, 594, 17252, 3633, 589, 667, 4353, 3036, 4753, 25663, 2975, 3951, 3036, 888, 25187, 995, 5796, 1282, 519, 1184, 991, 547, 581, 5227, 676, 1169, 1920, 25019, 3028, 538, 519, 5177, 269, 14171, 5140, 1876, 995, 5796, 1354, 543, 849, 2429, 519, 1184, 666, 948, 543, 849, 513, 1151, 545, 3218, 666, 849, 2638, 707, 4579, 693, 519, 1439, 269, 2405, 5573, 5177, 11338, 946, 6378, 1942, 1876, 995, 5796, 267, 602, 1331, 513, 7768, 1867, 602, 596, 666, 3142, 1318, 883, 25019, 952, 596, 1616, 563, 4263, 519, 1439, 540, 519, 25019, 1184, 267, 596, 786, 2356, 2154, 513, 1920, 1876, 15818, 610, 3656, 11347, 547, 1118, 707, 11460, 1876, 2685, 11006, 610, 596, 666, 4584, 1851, 2405, 5573, 5177, 779, 6378, 5279, 3656, 15004, 269, 634, 4781, 568, 2141, 707, 1378, 563, 3041, 32212, 8656, 3582, 5442, 5990, 5177, 19766, 8085, 306, 12088, 888, 1103, 519, 5354, 540, 2665, 267, 621, 568, 513, 1876, 995, 10421, 547, 1491, 883, 7156, 25019, 1210, 11504, 513, 2405, 2747, 19672, 10495, 20051, 630, 11085, 4456, 264, 1354, 596, 666, 2307, 513, 5480, 547, 1118, 513, 3903, 593, 707, 2013, 269, 1703, 616, 4867, 476, 1428, 23614, 687, 547, 713, 267, 799, 2039, 689, 6469, 6057, 267, 547, 2713, 13383, 610, 1126, 3106, 269, 1403, 267, 2348, 13984, 513, 24696, 4456, 2901, 596, 630, 528, 519, 18657, 1807, 264, 3442, 602, 596, 798, 711, 7287, 547, 798, 25019, 267, 1287, 596, 798, 711, 991, 547, 979, 547, 563, 2791, 1522, 723, 547, 12172, 707, 4128, 1946, 547, 519, 5480, 952, 596, 723, 2965, 1044, 14376, 547, 7390, 513, 24696, 4456, 543, 849, 798, 711, 6175, 610, 4431, 563, 1103, 930, 8320, 519, 5480, 949, 7755, 712, 333, 707, 18659, 15029, 596, 2119, 25019, 269, 4746, 538, 971, 2175, 596, 798, 711, 723, 547, 7119, 538, 267, 4352, 519, 9794, 786, 6999, 547, 917 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3528, 281, 25562, 2274, 577, 1084, 6199, 454, 296, 4076, 2141, 1044, 26617, 540, 1210, 519, 968, 1504, 32697, 2203, 892, 547, 10891, 8021, 269, 3767, 267, 2487, 3377, 5359, 602, 2303, 19578, 779, 21060, 4975, 5398, 7732, 779, 568, 6236, 513, 1847, 4724, 1210, 645, 3041, 3722, 28944, 1310, 513, 3810, 1857, 1242, 4161, 547, 11806, 2835, 814, 1500, 803, 30603, 1250, 2055, 543, 4145, 827, 9135, 2861, 8760, 267, 3226, 585, 5708, 563, 3412, 9712, 2299, 1310, 3377, 13264, 827, 519, 4161, 547, 11806, 2326, 538, 21060, 4975, 267, 519, 19578, 7732, 5948, 543, 8433, 585, 25827, 15213, 8678, 609, 19578, 7172, 12579, 2228, 547, 24808, 1489, 585, 7214, 5191, 538, 519, 21060, 4975, 5398, 7732, 269, 898, 666, 581, 15673, 532, 547, 1224, 3377, 5359, 543, 1118, 2656, 21520, 267, 855, 594, 6557, 2386, 972, 616, 1950, 7391, 2469, 593, 693, 744, 9573, 299, 3297, 519, 10943, 1662, 540, 519, 24657, 269, 2368, 4282, 593, 875, 645, 3041, 3722, 8760, 13000, 11806, 3584, 543, 930, 23106, 827, 589, 6369, 5583, 593, 10297, 666, 948, 721, 782, 2322, 2591, 899, 713, 883, 2796, 563, 32382, 804, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 2910, 300, 12903, 1299, 16998, 4338, 295, 2975, 715, 10976, 30600, 1315, 11806, 266, 1315, 645, 21361, 1315, 4437, 23724, 2225, 538, 22383, 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, 3848, 476, 1691, 281, 5822, 26554, 7931, 1734, 538, 3778, 910, 15531, 11146, 11088, 692, 5970, 596, 2479, 4862, 519, 6031, 267, 834, 27094, 9060, 513, 1259, 8119, 4270, 267, 3006, 2648, 3217, 513, 1033, 712, 543, 2501, 1394, 1472, 2663, 538, 1272, 269, 901, 568, 1018, 649, 1289, 513, 2034, 4960, 15832, 269, 10801, 1686, 267, 972, 723, 1044, 1082, 4583, 15185, 945, 1336, 1142, 824, 1586, 1310, 9561, 5905, 610, 2469, 998, 9157, 2053, 269, 4653, 267, 649, 2811, 2469, 547, 2263, 930, 2295, 342, 9879, 2984, 827, 2034, 8458, 538, 3140, 32741, 780, 5575, 267, 1577, 781, 1174, 1946, 1004, 1522, 1265, 2933, 538, 513, 2034, 4960, 15832, 3510, 269, 6884, 267, 1079, 1004, 2743, 950, 789, 2811, 1932, 1762, 547, 5963, 5660, 1142, 824, 269, 9320, 789, 1332, 909, 538, 1114, 4025, 610, 1291, 5094, 2729, 2394, 12556, 6770, 873, 1927, 2899, 811, 269, 4033, 2053, 267, 3347, 1439, 1813, 547, 21390, 610, 5007, 2188, 899, 1920, 13882, 269, 3143, 2339, 519, 2601, 267, 621, 666, 581, 11212, 2027, 950, 1079, 12271, 556, 6618, 543, 2285, 2648, 1776, 2119, 780, 3086, 267, 4952, 952, 1346, 5182, 2275, 1484, 539, 18798, 941, 849, 3811, 9520, 256, 1548, 952, 789, 1031, 741, 5916, 7326, 543, 1995, 547, 1628, 9434, 5763, 286, 2334, 1131, 581, 3833, 519, 1379, 7008, 256, 2755, 713, 949, 3280, 899, 5708, 267, 519, 3741, 3297, 971, 1967, 666, 2965, 581, 4294, 547, 1483, 3734, 7653, 269, 2913, 781, 4685, 4514, 883, 1620, 891, 2035, 1210, 938, 16012, 7071, 585, 2034, 4960, 32741, 780, 25603, 10906, 543, 11023, 1097, 267, 14070, 3197, 689, 13191, 3243, 523, 781, 3209, 29233, 543, 2776, 9080, 823, 269, 2311, 1101, 16145, 267, 789, 3100, 899, 2347, 1727, 657, 2572, 1107, 1352, 781, 18512, 543, 856, 4944, 7505, 1247, 646, 781, 11603, 543, 10583, 269, 4256, 3355, 4205, 4125, 3765, 23890, 543, 10413, 4606, 267, 4929, 873, 547, 20847, 6306, 269, 1717, 267, 936, 942, 267, 789, 8275, 741, 9073, 543, 3605, 3838, 2418, 269, 1358, 22653, 924, 609, 513, 17105, 2463, 543, 15754, 585, 835, 1776, 267, 3056, 547, 3020, 2648, 780, 2252, 10906, 543, 11023, 1097, 941, 9520, 538, 2221, 781, 1158, 267, 789, 1223, 4019, 2147, 5380, 547, 2679, 5763, 269, 1280, 3236, 267, 1175, 607, 789, 4121, 689, 2250, 6959, 538, 741, 2078, 267, 8797, 9520, 1353, 3105, 2883, 1025, 1495, 619, 547, 2057, 18110, 873, 269, 3958, 267, 9301, 1455, 2666, 1063, 4891, 568, 2629, 282, 13974, 267, 26936, 5092, 3853, 5849, 1312, 6105, 4324, 8449, 780, 20059, 832, 1419, 3343, 3255, 602, 4865, 1978, 7907, 267, 1454, 899, 875, 2043, 1413, 585, 7592, 538, 1761, 11509, 4891, 269, 589, 9621, 2754, 1522, 8858, 2178, 5718, 267, 5647, 267, 13916, 267, 543, 30840, 1107, 782, 4162, 14909, 538, 513, 7649, 1932, 256, 1635, 4466, 4213, 609, 4264, 8013, 5383, 267, 9520, 2327, 11931, 7024, 936, 6905, 5712, 267, 8272, 337, 1681, 519, 6617, 5551, 538, 15962, 3347, 780, 2026, 596, 3460, 998, 1272, 267, 1832, 606, 3750, 856, 585, 2034, 8458, 1107, 2436, 538, 6927, 540, 519, 2295, 610, 18083, 269, 6145, 10906, 543, 11023, 1097, 267, 1565, 689, 2250, 2833, 543, 8508, 1689, 666, 1930, 9885, 547, 4190, 20297, 269, 5457, 267, 9639, 543, 16177, 2628, 1055, 3946, 727, 569, 267, 1818, 1169, 7227, 26656, 780, 12244, 912, 13914, 540, 513, 5172, 1433, 610, 7260, 1141, 1079, 3197, 1185, 513, 2034, 4960, 15832, 269, 1215, 1705, 789, 7753, 9465, 547, 1265, 8788, 1927, 286, 3767, 267, 2992, 593, 513, 2123, 8804, 3992, 602, 1223, 581, 29742, 539, 689, 741, 1650, 269, 9523, 707, 4555, 609, 513, 1362, 22940, 543, 1865, 1022, 9670, 4296, 596, 10625, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 19547, 5661, 281, 769, 476, 1911, 547, 476, 272, 538, 519, 6006, 2344, 267, 7338, 623, 3559, 1186, 12607, 4680, 519, 11580, 543, 2994, 547, 2810, 707, 5763, 835, 4627, 19507, 998, 4444, 7146, 3620, 1245, 10115, 269, 9521, 519, 2110, 3856, 9467, 3466, 602, 616, 2442, 2221, 267, 533, 3559, 1186, 779, 3810, 9266, 267, 2943, 9097, 1935, 6212, 593, 7114, 7623, 532, 6191, 538, 1857, 6990, 267, 9140, 741, 13632, 267, 543, 8066, 891, 9541, 1279, 2165, 585, 693, 2547, 4557, 1296, 269, 769, 713, 16832, 3391, 267, 623, 3559, 1186, 9382, 1018, 1500, 519, 2462, 3549, 540, 1010, 1554, 865, 19311, 585, 519, 30190, 267, 1279, 3856, 20090, 269, 1411, 786, 1451, 875, 547, 2697, 543, 1902, 538, 19311, 1870, 3631, 1510, 7298, 2208, 2781, 559, 902, 602, 786, 3533, 2333, 707, 15271, 269, 29247, 922, 2597, 538, 4154, 630, 663, 1287, 930, 1070, 476, 1911, 547, 476, 272, 538, 519, 6006, 2344, 32514, 919, 519, 1259, 547, 519, 2619, 540, 1279, 3856, 5763, 585, 596, 543, 707, 646, 15077, 269, 2060, 713, 5929, 267, 2943, 3810, 4143, 1935, 267, 596, 786, 4584, 3549, 20617, 543, 4585, 707, 9541, 865, 541, 256, 7338, 5261, 623, 3559, 1186, 630, 5002, 273, 268, 1960, 273, 264, 838, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 13553, 26554, 7931, 1734, 257, 607, 851, 540, 834, 11227, 1315, 23620, 1315, 8466, 1315, 4937, 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, 7705, 281, 19850, 7585, 256, 5620, 596, 2479, 4862, 827, 5907, 13137, 1354, 2496, 7692, 281, 3143, 267, 594, 10093, 1405, 269, 1548, 568, 621, 2496, 8334, 281, 4270, 267, 621, 781, 899, 1210, 2029, 547, 8945, 707, 14763, 1282, 513, 4339, 610, 513, 3014, 269, 3807, 899, 950, 649, 1404, 12404, 543, 3343, 267, 855, 3079, 540, 15720, 267, 649, 946, 3802, 773, 2911, 625, 547, 25657, 938, 2828, 1141, 649, 2731, 616, 780, 7692, 281, 7937, 267, 594, 1205, 621, 256, 1924, 1175, 899, 950, 594, 2995, 1250, 11078, 602, 596, 2811, 15720, 3297, 519, 3529, 267, 855, 2965, 267, 596, 2811, 2907, 1394, 538, 3490, 2496, 8334, 281, 22549, 256, 2334, 781, 835, 1259, 547, 1589, 827, 621, 269, 3767, 4952, 3257, 602, 538, 513, 1483, 25071, 267, 855, 3079, 540, 16254, 4730, 3756, 267, 2477, 616, 8165, 585, 1018, 789, 3494, 538, 780, 7692, 281, 5808, 320, 267, 12517, 26834, 1215, 798, 789, 798, 602, 2496, 8334, 281, 1358, 946, 2027, 3937, 547, 25888, 610, 3625, 2792, 6786, 1063, 14763, 269, 6884, 267, 789, 666, 1256, 1491, 1852, 540, 1346, 6786, 547, 1118, 519, 10546, 3494, 7301, 1344, 1107, 2186, 540, 899, 1018, 594, 1705, 950, 594, 5143, 1250, 2370, 7015, 972, 941, 28749, 896, 1010, 5127, 2439, 7692, 281, 670, 21036, 267, 9493, 1695, 256, 1261, 10443, 865, 3728, 547, 3158, 543, 19033, 781, 4055, 2439, 8334, 281, 962, 1575, 256, 1656, 1175, 899, 875, 596, 5433, 2922, 1317, 596, 6785, 972, 14201, 1405, 1022, 1483, 28749, 267, 20679, 849, 1745, 10930, 6616, 789, 723, 606, 5413, 936, 741, 17837, 676, 14845, 610, 13587, 1516, 873, 998, 5907, 13137, 780, 7692, 281, 26272, 267, 602, 781, 5863, 256, 2052, 4896, 1451, 875, 547, 798, 602, 2496, 8334, 281, 3502, 4010, 269, 1411, 991, 1697, 2866, 543, 1569, 547, 1808, 2645, 543, 4066, 1031, 585, 5907, 13137, 269, 9578, 267, 621, 781, 1271, 547, 1174, 922, 5683, 6286, 2094, 22392, 1866, 666, 1291, 547, 5134, 6412, 543, 2800, 780, 7692, 281, 23010, 267, 594, 7058, 10213, 2576, 1945, 602, 3884, 1405, 3020, 1522, 10413, 741, 4606, 269, 1284, 12582, 1405, 9114, 547, 1142, 824, 267, 1318, 2496, 8334, 281, 25999, 267, 7585, 256, 12968, 17965, 13976, 3972, 543, 6793, 17052, 269, 18329, 13137, 949, 581, 2556, 3006, 538, 3978, 7526, 267, 855, 3314, 602, 19969, 543, 11587, 616, 2141, 1898, 2418, 538, 4948, 1272, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21202, 9741, 17461, 454, 18183, 12787, 568, 17149, 267, 543, 607, 513, 1267, 267, 4108, 3196, 568, 2838, 952, 513, 12560, 3070, 568, 796, 520, 1555, 762, 269, 2290, 540, 519, 3875, 4093, 540, 713, 1576, 540, 2962, 814, 1044, 519, 4720, 540, 6370, 4640, 543, 14049, 787, 269, 901, 2348, 519, 6852, 3483, 540, 2901, 7561, 9396, 908, 519, 10546, 610, 21108, 1996, 741, 4323, 630, 322, 3300, 1889, 9778, 1040, 634, 1883, 2609, 547, 713, 4720, 616, 8343, 267, 1239, 4015, 543, 2079, 269, 5015, 267, 713, 23679, 2164, 538, 519, 11938, 540, 519, 7221, 2139, 269, 1703, 616, 3875, 26922, 1806, 538, 519, 23242, 630, 8201, 476, 272, 264, 1158, 540, 4831, 1889, 9778, 1765, 20584, 4252, 267, 4216, 532, 267, 535, 9760, 267, 1256, 21802, 267, 3092, 269, 1809, 930, 540, 519, 1034, 3078, 1806, 616, 1336, 538, 1686, 563, 20694, 6387, 519, 4279, 538, 476, 28664, 645, 5861, 269, 630, 8201, 476, 273, 264, 1282, 1010, 5859, 1996, 30111, 543, 17169, 667, 23581, 693, 717, 13774, 600, 11253, 2282, 2413, 1554, 7187, 12925, 267, 729, 1558, 609, 11566, 12918, 269, 898, 568, 1767, 602, 519, 6431, 2103, 1185, 513, 2929, 7980, 609, 476, 1220, 1085, 12682, 1117, 669, 926, 1824, 269, 11531, 12138, 1185, 3368, 512, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 16978, 3055, 2782, 11071, 257, 607, 851, 540, 834, 19615, 1315, 13639, 1315, 15613, 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, 6092, 5149, 281, 10289, 7698, 640, 543, 26435, 998, 519, 3203, 540, 19124, 4210, 3317, 523, 692 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3384, 13119, 543, 3987, 2073, 875, 1082, 3268, 513, 1554, 547, 2539, 1973, 2604, 563, 4322, 1331, 9830, 602, 3112, 2270, 513, 10826, 1652, 538, 799, 3238, 519, 1482, 2377, 331, 1195, 4315, 610, 3352, 15816, 691, 534, 538, 519, 1560, 666, 2333, 1973, 2604, 269, 5510, 1359, 2429, 519, 1554, 267, 707, 1560, 786, 581, 7444, 1524, 267, 855, 596, 786, 11573, 978, 338, 616, 519, 1101, 851, 540, 707, 1560, 547, 1832, 707, 1973, 2604, 1524, 563, 517, 519, 16063, 3919, 540, 519, 6640, 540, 5409, 3273, 6856, 821, 267, 30847, 543, 1287, 7740, 538, 519, 1560, 563, 6518, 616, 1585, 2010, 540, 1216, 267, 799, 568, 519, 5567, 602, 568, 513, 13942, 2604, 5464, 267, 799, 568, 2587, 1470, 539, 8598, 610, 15466, 8458, 538, 1973, 2604, 269, 6286, 941, 1447, 2693, 547, 723, 519, 3461, 14043, 10174, 10433, 547, 519, 2551, 540, 2566, 267, 543, 1287, 519, 2475, 4079, 609, 13119, 563, 1607, 568, 513, 1390, 2312, 267, 855, 621, 568, 2556, 547, 2490, 602, 621, 568, 4922, 1031, 547, 1852, 1973, 2604, 269, 634, 2197, 540, 891, 5061, 616, 1031, 538, 2550, 609, 513, 11636, 2043, 945, 616, 28148, 1031, 538, 519, 2475, 563, 9827, 267, 952, 596, 723, 1164, 1973, 2604, 666, 1118, 513, 1970, 1981, 585, 8459, 2068, 610, 1164, 1973, 2604, 267, 596, 949, 991, 547, 723, 1164, 1973, 2604, 269, 1452, 616, 930, 1004, 945, 616, 2901, 9670, 519, 10297, 540, 519, 14401, 602, 666, 2333, 1973, 2604, 563, 1492, 4857, 3099, 540, 519, 5820, 540, 519, 29169, 6171, 595, 543, 562, 648, 18090, 18090, 335, 1388, 1436, 563, 2005, 3085, 1405, 849, 948, 596, 547, 2569, 707, 1973, 2604, 538, 519, 1560, 267, 971, 607, 4965, 267, 543, 1312, 1585, 9854, 563, 5445, 1331, 6171, 667, 21455, 543, 519, 2640, 540, 12498, 1532, 6674, 619, 538, 2550, 609, 1164, 1973, 2604, 563, 13706, 602, 596, 1376, 707, 11974, 883, 519, 1259, 547, 6972, 547, 707, 1480, 1354, 596, 1376, 547, 1376, 609, 713, 9395, 3070, 269, 6168, 476, 1789, 3764, 540, 3635, 585, 1164, 1973, 2604, 949, 1291, 547, 12110, 267, 9830, 267, 543, 3987, 563, 553, 606, 1367, 267, 610, 22007, 332, 529, 691, 534, 1058, 711, 581, 11311, 2587, 3999, 839, 514, 4083, 13805, 3625, 518, 563, 6011, 1082, 3268, 513, 1554, 547, 2539, 1973, 2604, 267, 543, 4887, 1543, 568, 3020, 602, 519, 6091, 666, 2014, 513, 2295, 4323, 610, 8482, 267, 2295, 4323, 267, 2295, 5821, 267, 8482, 267, 8459, 2068, 267, 1818, 1973, 2604, 2539, 982, 3339, 269, 634, 1449, 568, 1360, 2147, 547, 519, 2022, 7308, 23716, 6646, 585, 1312, 519, 18337, 16209, 543, 1973, 547, 519, 16050, 563, 2026, 649, 616, 519, 1034, 4122, 3908, 267, 585, 713, 20979, 267, 3787, 267, 16909, 24362, 267, 543, 513, 2837, 540, 1585, 1416, 563, 1607, 2882, 13942, 2604, 6527, 616, 849, 1031, 547, 1521, 1164, 1973, 2604, 269, 2368, 540, 519, 1239, 1331, 519, 598, 863, 687, 540, 1312, 30847, 267, 10399, 267, 2523, 538, 519, 1101, 26106, 802, 563, 3719, 621, 568, 1271, 547, 917, 875, 1082, 2550, 945, 949, 723, 513, 2783, 1141, 519, 1198, 540, 2947, 8970, 776, 16050, 2068, 563, 529, 602, 596, 723, 1022, 2427, 2360, 267, 855, 596, 616, 2921, 1022, 2427, 2360, 267, 799, 568, 811, 4122, 8156, 519, 6527, 2073, 875, 1082, 3268, 513, 1554, 547, 2539, 1973, 2604, 563, 663, 2661, 1296, 540, 2079, 540, 519, 4611, 538, 519, 1981, 540, 9025, 2068, 269, 1452, 2882, 9770, 538, 1346, 609, 1164, 1973, 2604, 1519, 4160, 267, 543, 4568, 6981, 568, 8995, 609, 1022, 6527, 563, 5629, 10438, 21449, 3133, 641, 1156, 267, 6379, 543, 8482, 267, 18337, 16209, 267, 1973, 2604, 563, 1103, 1840, 267, 621, 781, 711, 3877, 540, 1480, 1560, 2597, 2530, 585, 519, 14603, 17725, 1072, 2073, 875, 1082, 3268, 513, 1554, 547, 2539, 1973, 2604, 563, 6011, 1082, 3268, 513, 1554, 547, 2539, 1973, 2604, 1358, 849, 1336, 602, 513, 5786, 538, 1973, 2604, 543, 12662, 585, 519, 1973, 2604, 676, 513, 1973, 2604, 268, 869, 1359, 5061, 563, 7945, 607, 519, 1239, 267, 799, 568, 513, 3448, 1587, 602, 666, 948, 2061, 2566, 2157, 540, 2669, 543, 12526, 563, 732, 849, 1164, 1973, 2604, 267, 602, 1082, 2550, 945, 1185, 741, 1973, 2604, 6527, 547, 2539, 741, 1973, 2604, 6527, 269, 1403, 596, 616, 7680, 513, 3099, 540, 13119, 267, 1082, 540, 891, 2589, 949, 723, 513, 1966, 563, 29592, 2921, 5061, 610, 5312, 8459, 3676, 267, 543, 4553, 676, 7333, 534, 11446, 267, 799, 568, 2241, 1106, 269, 3509, 1004, 609, 1164, 1973, 2604, 949, 581, 2789, 543, 4616, 540, 9025, 3676, 2073, 875, 1082, 3268, 513, 1554, 547, 2539, 1973, 2604, 563, 4517, 267, 707, 1560, 267, 596, 949, 1131, 3313, 707, 1973, 2604, 786, 2585, 622, 519, 1560, 267, 3500, 1973, 998, 519, 1973, 8043, 269, 13262, 568, 513, 2603, 540, 519, 1560, 781, 1973, 2604, 5464, 568, 5227, 585, 2566, 267, 865, 950, 596, 616, 811, 982, 476, 2568, 3764, 693, 513, 3018, 2073, 32318, 20940, 545, 2081, 547, 2539, 1973, 2604, 563, 27463, 1162, 519, 1981, 540, 1164, 1973, 2604, 267, 855, 519, 8374, 616, 4299, 676, 519, 1981, 540, 2295, 6285, 267, 543, 519, 1981, 540, 9025, 2068, 269, 521, 267, 607, 519, 10788, 568, 519, 1101, 1449, 585, 519, 3877, 540, 519, 3597, 3232, 1973, 2604, 6895, 563, 763, 18046, 616, 1360, 2966, 547, 581, 4628, 2352, 547, 1118, 2386, 5574, 585, 1164, 1973, 2604, 543, 2295, 4323, 269, 2755, 596, 3112, 2689, 519, 13101, 2566, 267, 621, 568, 1271, 538, 519, 1592, 540, 519, 1184, 563, 3719, 621, 781, 1271, 547, 2708, 519, 6297, 1259, 547, 2285, 596, 547, 1451, 519, 30057, 1062, 563, 30535, 1510, 513, 3771, 514, 267, 2523, 1346, 538, 519, 2126, 540, 1973, 2604, 6646, 547, 1521, 12150, 2295, 4323, 543, 8482, 269, 715, 1410, 8826, 1299, 6206, 517, 8682, 1790, 928, 10354, 1627, 1015, 568, 2356, 1524, 547, 519, 1560, 267, 855, 849, 2810, 1973, 2604, 563, 12850, 849, 2337, 547, 2539, 1973, 2604, 267, 2566, 267, 799, 666, 2087, 2295, 1072, 267, 543, 824, 3099, 269, 14171, 519, 16889, 2994, 585, 519, 1560, 547, 2149, 3644, 543, 519, 3099, 540, 13119, 267, 1287, 2010, 540, 1973, 2604, 6646, 547, 1521, 1164, 1973, 2604, 563, 10144, 609, 513, 8482, 610, 8459, 2068, 6646, 949, 723, 12150, 2295, 5821, 543, 2295, 6285, 269, 769, 1082, 2090, 267, 519, 3173, 945, 616, 811, 540, 519, 1482, 2404, 609, 1850, 636, 10633, 616, 1031, 547, 1521, 13119, 563, 2005, 568, 513, 15291, 22567, 538, 519, 1101, 9570, 540, 2550, 609, 1164, 1973, 2604, 25774, 2126, 267, 971, 607, 3352, 514, 269, 901, 568, 851, 540, 519, 3070, 950, 596, 723, 513, 1973, 2604, 6895, 267, 855, 849, 1818, 621, 811, 2500, 538, 519, 1739, 1378, 563, 2421, 519, 4212, 7714, 9113, 4624, 12649, 519, 8579, 2551, 543, 519, 20659, 3635, 269, 4746, 267, 621, 568, 1271, 547, 4217, 519, 1184, 543, 4162, 602, 596, 1058, 849, 581, 811, 2500, 585, 519, 2566, 2073, 17422, 27555, 13119, 3075, 2126, 563, 5278, 5061, 616, 2693, 547, 581, 1031, 547, 1521, 13119, 267, 899, 15175, 267, 621, 666, 849, 581, 2111, 547, 581, 5462, 563, 763, 11259, 2360, 540, 13101, 1519, 606, 7378, 538, 519, 24817, 540, 513, 4389, 8229, 3170, 563, 8722, 18291, 4448, 547, 2539, 1973, 2604, 543, 8165, 540, 1973, 2604, 6646, 538, 519, 1973, 8043, 267, 855, 849, 1634, 607, 1010, 1973, 2604, 6646, 585, 1164, 1973, 2604, 269, 9537, 2986, 10552, 16242, 2107, 4771, 27971, 281, 4746, 267, 519, 4064, 267, 799, 786, 849, 948, 2539, 1973, 2604, 563, 28657, 1202, 1602, 908, 513, 1804, 1297, 540, 1004, 609, 1164, 1973, 2604, 267, 666, 849, 5279, 519, 1981, 540, 2295, 1072, 2042, 269, 4475, 267, 649, 2161, 602, 519, 4324, 540, 1164, 1973, 2604, 666, 1291, 547, 2295, 6285, 543, 8482, 563, 9827, 267, 621, 568, 1271, 547, 1379, 519, 6527, 602, 666, 581, 29253, 267, 610, 1769, 268, 543, 19941, 2472, 269, 540, 536, 335, 673, 30847, 267, 23324, 21729, 16570, 1356, 566, 267, 2367, 543, 30614, 540, 11124, 8459, 1599, 2073, 4915, 1164, 1973, 2604, 563, 1103, 713, 901, 666, 581, 1031, 609, 1082, 2550, 267, 1519, 7280, 267, 1519, 811, 2550, 609, 1164, 1973, 2604, 267, 543, 5312, 8459, 2068, 269, 4457, 4915, 666, 849, 2014, 1973, 2604, 2157, 267, 543, 19228, 267, 865, 1082, 5061, 666, 581, 513, 1129, 540, 1164, 1973, 2604, 563, 663, 1866, 267, 1519, 5567, 267, 543, 1649, 1794, 777, 22567, 267, 2587, 1470, 539, 9047, 267, 1585, 9770, 267, 11379, 267, 543, 6886, 269, 1403, 596, 1376, 707, 1973, 2604, 267, 596, 723, 513, 5868, 540, 1973, 2604, 6646, 267, 543, 1970, 13220, 547, 707, 4387, 543, 1376, 547, 1818, 707, 1973, 2604, 13761, 547, 519, 6765, 267, 596, 949, 581, 10097, 563, 327, 551, 345, 6646, 585, 1164, 1973, 2604, 267, 568, 513, 4611, 538, 519, 2295, 547, 8052, 609, 519, 12899, 543, 519, 1560, 267, 1973, 2604, 1852, 563, 11997, 267, 513, 3152, 1981, 540, 8482, 267, 6175, 610, 1585, 4965, 267, 519, 1981, 540, 3987, 543, 2295, 6285, 267, 18116, 267, 543, 7249, 24304, 2295, 4323, 563, 2690, 713, 2551, 540, 519, 2136, 2276, 267, 4595, 3864, 5980, 540, 1977, 5980, 540, 14904, 609, 1164, 1973, 2604, 269, 4935, 267, 1164, 1973, 2604, 568, 513, 3535, 928, 540, 519, 3339, 1973, 2604, 13220, 543, 1287, 519, 4387, 563, 2691, 596, 616, 9561, 835, 10425, 585, 1164, 1973, 2604, 267, 2960, 267, 9770, 543, 2566, 8920, 520, 566, 267, 3207, 267, 519, 1560, 781, 1062, 563, 4322, 616, 519, 1034, 1455, 3334, 949, 581, 811, 2500, 982, 519, 1942, 540, 3797, 563, 292, 743, 572, 6996, 691, 534, 941, 4080, 538, 2550, 609, 3987, 267, 2947, 1296, 543, 8392, 1054, 19981, 821, 5214, 5492, 3290, 538, 2550, 609, 22007, 332, 529, 691, 534, 563, 2005, 568, 1271, 547, 917, 602, 606, 30072, 543, 4408, 971, 607, 16698, 267, 1519, 1978, 11955, 267, 543, 824, 897, 1091, 563, 763, 9501, 7563, 25897, 729, 19747, 585, 513, 1268, 547, 519, 1981, 540, 9025, 2621, 543, 2295, 6285, 543, 8482, 269, 855, 711, 1152, 5739, 827, 519, 1482, 1259, 547, 948, 2359, 540, 1164, 1973, 2604, 267, 799, 568, 513, 3575, 268, 22596, 1072, 2175, 563, 1607, 568, 513, 1455, 9672, 602, 1287, 3926, 568, 1360, 2500, 538, 9013, 1973, 2604, 563, 7343, 548, 595, 3187, 24391, 547, 948, 2569, 1973, 2604, 267, 799, 949, 581, 2111, 547, 581, 7307, 269, 521, 267, 1519, 519, 10131, 540, 30847, 267, 610, 5312, 8459, 2068, 267, 610, 3987, 563, 4322, 2640, 547, 2569, 519, 2179, 540, 12862, 538, 938, 1973, 543, 519, 2295, 15450, 1996, 519, 1973, 563, 5804, 519, 2039, 540, 519, 3461, 568, 711, 547, 581, 9571, 267, 519, 2126, 786, 581, 513, 1966, 563, 1607, 1353, 1336, 602, 1082, 1004, 945, 1185, 741, 1973, 2604, 6646, 693, 2247, 267, 621, 568, 513, 5906, 1935, 269, 1411, 949, 581, 4967, 532, 513, 1920, 1686, 540, 13119, 267, 855, 1082, 811, 982, 7513, 538, 707, 1560, 875, 1082, 3268, 513, 1554, 547, 2539, 1973, 2604, 563, 12294, 1973, 2604, 14678, 6923, 901, 568, 1100, 3476, 267, 621, 568, 1500, 607, 2009, 267, 855, 2994, 616, 711, 607, 2500, 607, 1134, 607, 26815, 563, 6343, 1753, 16185, 786, 2539, 1973, 2604, 875, 1454, 13101, 547, 1491, 547, 2539, 1973, 2604, 267, 6399, 9509, 2185, 11041, 538, 519, 18072, 267, 3220, 269, 3567, 267, 543, 18669, 864, 12848, 267, 2274, 8123, 8426, 6809, 320, 268, 274, 269, 4746, 267, 1034, 1004, 945, 616, 2921, 1776, 1686, 540, 8031, 267, 4568, 666, 2014, 513, 1966, 563, 17882, 543, 519, 2640, 540, 519, 2640, 540, 519, 4509, 4015, 540, 519, 2960, 543, 6454, 538, 1973, 2960, 543, 3181, 1431, 563, 2252, 596, 666, 798, 711, 1491, 782, 11955, 543, 1491, 519, 1655, 6527, 547, 2569, 707, 1973, 2604, 543, 2087, 707, 1973, 2604, 269, 521, 543, 7513, 8756, 3625, 619, 267, 543, 1019, 675, 9455, 267, 799, 568, 10257, 547, 581, 3361, 676, 519, 4719, 5609, 4926, 2073, 875, 1082, 3268, 513, 1554, 547, 2539, 1973, 2604, 563, 1607, 568, 1946, 596, 616, 3548, 811, 6070, 6981, 267, 513, 1507, 2179, 540, 3635, 267, 855, 596, 1058, 1376, 547, 1832, 707, 1973, 2604 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 330, 528, 543, 922, 17633, 563, 288, 1186, 4673, 281, 22966, 17155, 562, 8233, 338, 610, 25249, 6719, 538, 519, 3337, 540, 10760, 5515, 282, 693, 4911, 330, 528, 267, 519, 18935, 5314, 568, 3665, 543, 519, 513, 1186, 31730, 616, 1419, 6719, 538, 2516, 609, 1710, 2044, 543, 9925, 1564, 269, 1358, 616, 519, 834, 15965, 710, 3090, 540, 8788, 257, 630, 300, 4768, 823, 3794, 320, 1125, 1916, 288, 1998, 758, 2572, 341, 4673, 610, 700, 10280, 341, 4673, 281, 834, 15253, 6842, 622, 13938, 20130, 3430, 9366, 2580, 5532, 547, 519, 2856, 540, 3038, 2064, 282, 1419, 6719, 609, 2185, 7916, 543, 12217, 589, 2466, 629, 3873, 593, 1010, 669, 793, 517, 282, 10305, 281, 2603, 639, 267, 887, 338, 776, 267, 11480, 543, 1433, 563, 13510, 20345, 281, 6183, 958, 834, 9188, 1417, 257, 538, 16130, 267, 519, 1651, 28271, 540, 513, 5601, 538, 513, 1480, 610, 3662, 1373, 269, 634, 476, 278, 628, 543, 476, 279, 628, 1285, 520, 1513, 540, 31155, 20692, 267, 681, 4821, 543, 30730, 267, 616, 519, 1034, 4583, 32647, 269, 519, 10548, 27011, 543, 10067, 629, 541, 1092, 563, 21574, 599, 281, 25351, 9771, 9104, 908, 13111, 282, 811, 982, 513, 11432, 267, 621, 568, 513, 10085, 651, 4904, 676, 4764, 543, 4129, 542, 540, 8933, 269, 4706, 1599, 568, 547, 2327, 12555, 540, 519, 30240, 4610, 543, 547, 3761, 519, 7254, 9822, 2456, 262, 4779, 1846, 269, 634, 3046, 599, 568, 693, 519, 4493, 540, 519, 4911, 330, 20187, 17453, 1062, 282, 11636, 3623, 1154, 909, 949, 723, 8329, 547, 519, 4617, 2287, 540, 519, 20422, 4911, 330, 20187, 25267, 269, 898, 849, 12217, 513, 10723, 543, 12572, 1599, 267, 607, 1134, 607, 606, 2804, 835, 267, 14754, 676, 17633, 25517, 693, 741, 18013, 630, 26156, 543, 5101, 2725, 2548, 1916, 289, 617, 20130, 3430, 9366, 281, 589, 1373, 26405, 547, 1831, 513, 17700, 267, 855, 945, 15646, 25555, 922, 1378, 20778, 538, 1931, 547, 948, 30768, 563, 24154, 8676, 281, 2290, 540, 519, 9030, 10971, 540, 519, 23347, 2006, 545, 959, 6541, 267, 519, 834, 16579, 528, 21968, 3622, 6719, 609, 2185, 8188, 543, 2185, 7916, 267, 15841, 593, 519, 670, 4461, 320, 610, 10723, 979, 846, 282, 1010, 10305, 1331, 281, 1167, 267, 17078, 548, 267, 1433, 267, 887, 338, 776, 267, 642, 848, 267, 8038, 3369, 7416, 543, 521, 1061, 516, 563, 2419, 600, 281, 9147, 9468, 656, 540, 19598, 320, 267, 513, 9699, 10806, 13883, 2059, 519, 5032, 540, 5449, 1323, 5864, 563, 290, 1156, 5055, 281, 4813, 518, 4457, 2012, 585, 5449, 25267, 540, 1412, 27455, 16441, 5055, 262, 543, 1412, 12850, 16441, 5055, 262, 602, 13026, 2127, 602, 941, 2663, 11368, 883, 519, 10609, 1067, 7276, 563, 2419, 9506, 540, 519, 7256, 540, 22447, 281, 634, 1821, 553, 630, 326, 16104, 264, 543, 519, 607, 32136, 630, 12047, 976, 264, 3180, 513, 5458, 562, 15676, 630, 1492, 562, 15676, 3751, 23849, 25431, 264, 27390, 1472, 519, 13495, 8403, 7823, 538, 1931, 547, 9585, 519, 669, 9506, 540, 519, 2215, 867, 658, 5836, 267, 3976, 25935, 519, 700, 1172, 528, 540, 8056, 677, 1275, 630, 8649, 761, 320, 264, 799, 1142, 1895, 524, 913, 1206, 269, 589, 4583, 1666, 3146, 331, 3971, 693, 4911, 330, 528, 966, 520, 14550, 713, 12558, 13939, 689, 9699, 13299, 563, 28319, 541, 24652, 281, 4980, 540, 519, 1412, 326, 617, 268, 6362, 3299, 2813, 585, 20289, 822, 1301, 534, 4083, 593, 1912, 333, 558, 918, 592, 523, 538, 476, 26764, 676, 519, 9576, 23347, 332, 1231, 282, 1759, 593, 519, 4557, 564, 602, 519, 4622, 729, 606, 900, 10698, 540, 513, 5601, 267, 2356, 6719, 538, 10609, 1067, 1148, 676, 513, 19388, 320, 29544, 519, 5289, 543, 10424, 9759, 540, 519, 4622, 282, 519, 12081, 532, 1395, 778, 2968, 4857, 609, 519, 9699, 5601, 32251, 563, 28319, 1092, 281, 589, 25976, 267, 18477, 1373, 282, 10971, 267, 5256, 543, 4775, 267, 540, 13221, 543, 23347, 2006, 1143, 282, 513, 20443, 14953, 593, 10609, 1067, 6189, 563, 291, 12534, 777, 8403, 281, 8293, 520, 1154, 610, 7555, 11454, 267, 7450, 610, 10766, 27369, 540, 23347, 2006, 545, 610, 14418, 17633, 2356, 11439, 609, 27490, 267, 544, 864, 610, 8630, 267, 4171, 4527, 5849, 4027, 689, 9409, 7506, 563, 29222, 534, 281, 4813, 518, 4457, 2012, 585, 519, 3504, 10504, 602, 9551, 525, 519, 10609, 1067, 7276, 563, 294, 6951, 3873, 281, 2696, 2404, 609, 7326, 543, 1702, 267, 5067, 540, 32251, 543, 3474, 341, 10620, 282, 646, 568, 6719, 609, 513, 1480, 1560, 609, 606, 17707, 2212, 543, 17657, 602, 1419, 32168, 525, 883, 513, 12826, 630, 32188, 2358, 519, 1391, 585, 1702, 1916, 294, 541, 19085, 281, 23942, 6177, 609, 513, 1480, 1560, 267, 10546, 540, 519, 562, 698, 553, 267, 4410, 540, 31155, 20692, 269, 634, 6095, 19085, 5991, 15676, 568, 513, 20443, 14953, 538, 10609, 1067, 17001, 282, 519, 6095, 19085, 568, 1419, 6719, 15841, 593, 519, 562, 15676, 563, 295, 926, 327, 4673, 281, 589, 5348, 4038, 545, 2820, 6541, 9256, 519, 10305, 540, 670, 926, 630, 309, 880, 20692, 267, 593, 519, 2451, 264, 543, 4498, 320, 630, 4537, 10216, 267, 593, 519, 1318, 1916, 295, 514, 27011, 281, 834, 295, 514, 599, 514, 2580, 610, 1412, 22102, 27990, 3299, 14418, 3392, 563, 298, 20234, 784, 281, 623, 1512, 267, 2823, 267, 610, 8498, 593, 519, 4871, 540, 513, 1216, 3118, 563, 298, 16194, 3534, 281, 476, 279, 628, 1285, 20345, 540, 31155, 20692, 267, 1454, 9006, 23306, 5601, 538, 519, 9699, 20562, 515, 517, 563, 299, 27232, 14741, 281, 3117, 677, 540, 31155, 20692, 267, 31001, 540, 25925, 267, 32100, 543, 18370, 704, 640, 563, 299, 532, 320, 281, 13507, 545, 6041, 540, 32251, 267, 538, 519, 3337, 540, 513, 943, 718, 639, 267, 1419, 18935, 2213, 282, 621, 568, 3622, 7768, 540, 1614, 6810, 281, 519, 4009, 3490, 14687, 547, 4858, 8676, 267, 519, 17082, 267, 519, 12354, 21192, 1647, 3296, 14687, 547, 31155, 20692, 267, 519, 1095, 13996, 267, 543, 519, 9764, 5580, 3296, 267, 14687, 547, 32251, 282, 13745, 609, 519, 962, 18223, 267, 519, 2898, 3090, 2478, 5256, 543, 4775, 4229, 540, 32251, 563, 299, 10280, 341, 4673, 281, 10201, 622, 2012, 585, 589, 1998, 758, 2572, 341, 4673, 267, 519, 17519, 13938, 20130, 3430, 9366, 563, 300, 1695, 27011, 281, 834, 300, 2129, 534, 1731, 599, 2580, 610, 1412, 15124, 27990, 3299, 14418, 3392, 563, 300, 4673, 281, 5345, 559, 6891, 15673, 532, 519, 17700, 945, 12081, 338, 936, 513, 13140, 540, 12257, 543, 2283, 783, 1642, 2074, 563, 30560, 340, 281, 13738, 693, 519, 8998, 540, 519, 1158, 267, 1753, 540, 519, 10971, 563, 300, 644, 571, 281, 13507, 545, 17267, 540, 10971, 543, 540, 17700, 563, 301, 15676, 281, 5395, 25871, 4622, 267, 7242, 545, 3818, 32567, 1583, 25871, 630, 276, 267, 476, 278, 610, 476, 280, 9843, 5148, 538, 25591, 267, 713, 1583, 25871, 814, 1279, 1044, 2404, 609, 1216, 543, 922, 2640, 282, 621, 568, 3090, 1227, 519, 27369, 540, 13884, 267, 543, 16782, 282, 3090, 540, 1216, 267, 621, 568, 513, 16560, 14953, 538, 1082, 10609, 1067, 17633, 267, 1141, 621, 7718, 919, 519, 13675, 2545, 755, 10232, 267, 13123, 267, 4779, 1846, 543, 23854, 282, 562, 698, 553, 540, 519, 476, 1321, 628, 2540, 616, 835, 540, 519, 1034, 4190, 1483, 31907, 540, 10609, 1067, 1148, 563, 301, 663, 514, 281, 29042, 13032, 267, 4410, 540, 32251, 563, 301, 597, 341, 3570, 281, 15937, 3045, 8811, 7976, 267, 18678, 2832, 540, 13221, 563, 13640, 514, 597, 341, 3570, 281, 17700, 781, 7127, 883, 20581, 267, 849, 14302, 585, 556, 743, 1456, 17700, 24112, 563, 13640, 341, 10620, 281, 3117, 677, 540, 32251, 267, 11078, 540, 31155, 20692, 282, 31001, 540, 519, 10239, 543, 540, 605, 21551, 563, 4942, 333, 558, 281, 6183, 958, 7823, 610, 14629, 267, 621, 568, 513, 29341, 4259, 585, 17633, 267, 543, 2663, 20708, 625, 267, 1813, 547, 922, 10723, 543, 5289, 1599, 563, 7093, 1695, 281, 834, 18661, 2580, 610, 10723, 454, 305, 600, 27011, 281, 25587, 9699, 12473, 630, 298, 327, 1067, 281, 1412, 3725, 600, 12027, 262, 5148, 9446, 532, 681, 4821, 781, 6560, 547, 1265, 1010, 931, 677, 590, 7534, 945, 568, 9676, 676, 519, 27313, 24497, 3570, 282, 7064, 547, 519, 1489, 540, 519, 24564, 3751, 12390, 3861, 282, 10207, 689, 713, 15999, 9661, 723, 1044, 4922, 1031, 538, 519, 15022, 3512, 566, 540, 17633, 2429, 14913, 5607, 563, 306, 2086, 582, 281, 28577, 8470, 12816, 5180, 519, 2539, 3368, 540, 519, 1560, 563, 306, 14234, 281, 21475, 513, 787, 523, 1893, 799, 6905, 936, 3162, 5101, 5607, 267, 621, 568, 8385, 513, 16159, 1893, 11603, 585, 10424, 610, 533, 1550, 569, 5444, 11530, 625, 267, 610, 585, 519, 3443, 1122, 344, 878, 540, 519, 20375, 262, 13210, 610, 519, 533, 1190, 1810, 2209, 269, 898, 30403, 547, 581, 16159, 1893, 1031, 538, 3127, 543, 25591, 950, 634, 9545, 3385, 13221, 630, 6518, 22864, 519, 946, 540, 5493, 328, 264, 2968, 519, 1292, 4984, 267, 4358, 689, 519, 476, 1691, 628, 2540, 269, 16130, 267, 998, 922, 18236, 538, 782, 519, 25345, 267, 3991, 545, 1194, 1381, 338, 543, 10764, 689, 3127, 630, 295, 8114, 1143, 543, 13221, 1916, 4537, 10216, 281, 2290, 540, 519, 10971, 540, 519, 23347, 2006, 545, 959, 6541, 267, 693, 519, 1482, 942, 1412, 16579, 528, 543, 6861, 518, 262, 282, 2356, 15841, 593, 715, 663, 514, 630, 338, 659, 1042, 13032, 1070, 646, 1419, 12217, 513, 3791, 3750, 543, 513, 524, 29266, 593, 1010, 669, 793, 517, 282, 646, 568, 3090, 1242, 676, 519, 3337, 540, 519, 19388, 320, 563, 306, 19207, 281, 834, 303, 944, 257, 610, 5841, 11432, 454, 1805, 1575, 320, 281, 14418, 15224, 540, 24133, 610, 16033, 894, 2470, 267, 1419, 5627, 882, 923, 610, 1212, 332, 730, 3788, 563, 307, 3832, 537, 19248, 918, 537, 534, 281, 901, 4457, 2951, 518, 945, 10483, 1010, 2377, 29983, 538, 4911, 330, 528, 538, 476, 15782, 277, 910, 476, 15782, 278, 267, 568, 3226, 1634, 585, 1010, 2143, 2272, 540, 519, 4911, 330, 528, 17633, 1282, 20289, 822, 1301, 534, 23446, 12081, 267, 950, 519, 7276, 6785, 922, 3284, 334, 32607, 269, 898, 568, 519, 1152, 21981, 649, 723, 689, 713, 1974, 267, 799, 20186, 519, 10609, 1067, 3854, 2749, 543, 922, 2551, 689, 513, 10853, 543, 18512, 1448, 540, 2070, 563, 1607, 4760, 13886, 6490, 1559, 593, 519, 9821, 540, 25591, 814, 1044, 12261, 538, 18008, 543, 3370, 585, 519, 1101, 942, 538, 519, 28743, 632, 561, 262, 292, 1723, 548, 31839, 320, 1047, 546, 262, 15761, 337, 17845, 1889, 14114, 686, 550, 538, 476, 5002, 273, 563, 307, 5271, 18649, 281, 610, 8061, 1092, 267, 2356, 4775, 2820, 6541, 563, 309, 520, 281, 20242, 267, 610, 533, 698, 18649, 454, 309, 20364, 281, 23347, 2006, 545, 4031, 454, 309, 880, 20692, 281, 2290, 540, 519, 10971, 540, 519, 23347, 2006, 545, 959, 6541, 267, 1412, 1492, 2149, 528, 262, 2356, 15841, 593, 6095, 19085, 282, 646, 3622, 814, 2185, 7916, 267, 8066, 519, 1167, 267, 519, 598, 577, 267, 519, 519, 12826, 267, 543, 519, 8630, 282, 31155, 20692, 814, 1082, 1285, 520, 1513, 267, 971, 607, 30730, 563, 312, 4821, 281, 634, 2696, 540, 12280, 267, 610, 267, 10456, 543, 519, 7201, 16447, 945, 16488, 519, 4666, 1354, 789, 666, 4283, 519, 18477, 5493, 2167, 282, 2356, 15841, 593, 513, 10889, 14900, 563, 312, 18223, 281, 13507, 540, 519, 21522, 5175, 9366, 282, 621, 568, 513, 4009, 6149, 267, 2141, 2404, 609, 519, 19388, 320, 693, 922, 8998, 630, 4537, 10216, 5148, 593, 835, 2427, 267, 513, 8756, 6087, 519, 10723, 5277, 630, 4248, 267, 5144, 610, 9932, 264, 547, 2095, 856, 269, 0, 294, 19181, 2894, 630, 23044, 619, 267, 5388, 1299, 1507, 5613, 994, 4149, 6269, 2211, 2067, 11811, 267, 952, 1022, 267, 547, 3761, 476, 272, 547, 476, 272, 269, 276, 6279, 540, 1216, 829, 3018, 538, 513, 2582, 3498, 563, 268, 3519, 1555, 518, 6738, 2371, 949, 991, 14450, 2899, 610, 7466, 513, 1554, 1282, 519, 29224, 3275, 540, 4832, 269, 19321, 25525, 676, 8023, 1169, 476, 273, 4374, 609, 513, 29809, 13226, 3070, 2539, 538, 9436, 543, 2362, 538, 11379, 543, 8485, 5387, 563, 4149, 335, 3187, 21746, 8853, 538, 3905, 4365, 269, 1403, 3762 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 593, 741, 17207, 5654, 269, 1411, 2253, 547, 5469, 513, 24052, 5544, 267, 621, 779, 1256, 3478, 3677, 543, 1169, 9241, 3395, 13692, 4991, 15504, 856, 607, 1134, 269, 4855, 721, 593, 4317, 9012, 269, 4634, 950, 519, 30160, 568, 2322, 1524, 267, 621, 568, 1869, 7298, 269, 4033, 15483, 6737, 657, 2760, 7485, 782, 741, 17207, 267, 585, 1383, 789, 726, 3089, 1175, 741, 17207, 593, 741, 9221, 269, 901, 5544, 593, 519, 1560, 786, 3251, 24052, 585, 519, 1964, 540, 922, 1272, 269, 634, 3668, 540, 17207, 666, 723, 1079, 3123, 282, 513, 2068, 610, 519, 15483, 520, 5622, 726, 15085, 1010, 1378, 17207, 269, 4165, 1664, 4773, 12349, 689, 513, 13452, 9042, 610, 4558, 949, 581, 22862, 538, 513, 5394, 4494, 540, 7452, 543, 1989, 830, 269, 22227, 786, 581, 9516, 1354, 6029, 909, 269, 2659, 4620, 6177, 814, 519, 1482, 11443, 547, 723, 2973, 267, 2635, 17207, 269, 1306, 782, 15483, 520, 5622, 5411, 917, 267, 789, 616, 1360, 10995, 5017, 269, 24872, 532, 707, 1612, 8527, 1896, 2053, 513, 3018, 711, 1152, 17212, 1407, 2960, 9636, 543, 18274, 17207, 267, 621, 849, 17990, 707, 19460, 1062, 269, 595, 1442, 520, 1408, 338, 267, 899, 782, 5017, 267, 616, 1360, 3082, 693, 10703, 2718, 741, 4576, 20136, 568, 513, 1582, 25535, 3569, 7271, 267, 607, 519, 7210, 543, 519, 4617, 616, 519, 3283, 11975, 786, 1445, 593, 269, 717, 13041, 2421, 910, 595, 1442, 6737, 657, 3171, 1430, 7452, 3382, 8952, 17207, 3168, 8799, 543, 2973, 267, 3668, 540, 13692, 7452, 2306, 5017, 1413, 1360, 18660, 595, 6135, 2530, 1107, 290, 1442, 520, 5622, 267, 8895, 1695, 338, 595, 6135, 17207, 7508, 10552, 538, 13692, 14788, 338, 1107, 595, 1442, 6737, 657, 15043, 17207, 7363, 2673, 1055, 1973, 3761, 950, 9921, 269, 1358, 991, 2973, 17207, 585, 8184, 543, 4190, 267, 2635, 17207, 547, 4482, 513, 19898, 269, 1879, 513, 15483, 520, 5622, 5170, 547, 7485, 1010, 17207, 267, 789, 5555, 786, 711, 1332, 1394, 269, 1937, 572, 267, 594, 2899, 1185, 513, 19460, 18560, 2307, 803, 952, 594, 9364, 2944, 930, 2487, 3819, 3774, 960, 950, 646, 4718, 3212, 778, 344, 781, 7452, 11251, 538, 1250, 19460, 269, 667, 8812, 610, 3493, 580, 7757, 3171, 1430, 338, 634, 6505, 20034, 720, 540, 1034, 1612, 12783, 2501, 689, 1114, 5686, 540, 23416, 1459, 538, 519, 17207, 269, 6884, 972, 568, 513, 2564, 2014, 547, 726, 31902, 267, 899, 21422, 15495, 267, 623, 338, 8636, 659, 710, 2142, 752, 543, 3171, 1430, 8376, 267, 28349, 2960, 610, 513, 3668, 540, 1978, 5567, 269, 16440, 15483, 520, 5622, 17207, 547, 1205, 552, 17733, 25887, 543, 10311, 593, 707, 552, 29074, 16376, 269, 16819, 21217, 616, 3274, 513, 19619, 540, 1279, 17207, 602, 616, 6417, 676, 6091, 693, 519, 3490, 540, 519, 2766, 269, 4455, 476, 2918, 267, 476, 1001, 273, 1948, 272, 1547, 20548, 4809, 13692, 726, 31902, 666, 581, 3361, 676, 22926, 269, 1403, 707, 6177, 568, 2523, 18660, 610, 596, 616, 18516, 827, 7738, 1200, 267, 8430, 606, 13393, 609, 1200, 17022, 610, 513, 3318, 6177, 19081, 518, 269, 11557, 525, 1413, 7567, 269, 1656, 267, 593, 1283, 540, 602, 267, 646, 4991, 13662, 4306, 610, 834, 26051, 1242, 1612, 8527, 838, 320, 2126, 257, 5781, 269, 21444, 269, 1403, 596, 5469, 17207, 1472, 707, 6177, 781, 3068, 610, 678, 2794, 602, 2408, 30255, 610, 12758, 1927, 267, 621, 781, 606, 16315, 602, 707, 4620, 1223, 581, 7210, 269, 1306, 519, 6177, 726, 15085, 519, 17207, 267, 519, 2783, 1152, 7707, 839, 269, 700, 341, 476, 277, 269, 3689, 267, 7452, 344, 17207, 2408, 20585, 543, 950, 596, 4620, 513, 7452, 344, 6177, 267, 621, 5654, 899, 596, 4312, 2144, 1078, 513, 25879, 4604, 609, 707, 1688, 269, 594, 666, 1405, 6023, 2348, 602, 6067, 6470, 1759, 13692, 7452, 782, 936, 519, 2777, 269, 1284, 2709, 513, 476, 1789, 4303, 17776, 1923, 16510, 269, 630, 9616, 281, 519, 2604, 1058, 581, 25116, 593, 519, 13692, 3294, 267, 711, 519, 6177, 779, 1560, 1107, 17065, 4506, 519, 5229, 27932, 666, 2014, 3411, 6327, 4700, 16440, 15483, 520, 5622, 2766, 17207, 547, 1205, 552, 17733, 25887, 543, 10311, 593, 707, 552, 29074, 16376, 269, 898, 568, 513, 6960, 880, 3109, 834, 4944, 582, 1399, 257, 2681, 10237, 908, 689, 519, 18916, 540, 519, 17207, 269, 589, 20585, 3168, 1612, 8527, 3884, 1405, 7168, 267, 6862, 568, 621, 6899, 585, 519, 6177, 269, 1341, 476, 278, 590, 476, 271, 623, 744, 715, 590, 744, 589, 681, 623, 589, 476, 278, 661, 661, 667, 268, 272, 268, 272, 772, 808, 268, 272, 476, 271, 674, 808, 268, 272, 268, 272, 269, 12005, 540, 1989, 25128, 267, 17207, 267, 13964, 910, 476, 14341, 4391, 272, 6507, 278, 12005, 540, 1989, 25128, 267, 17207, 267, 13964, 910, 476, 14341, 4391, 272, 6507, 278, 14351, 16071, 5510, 22554, 610, 18660, 3168, 17207, 616, 4191, 596, 666, 1413, 585, 269, 3776, 15483, 520, 1408, 338, 2766, 17207, 1413, 522, 1176, 543, 18660, 267, 649, 8068, 621, 950, 621, 729, 827, 606, 10759, 543, 3368, 689, 519, 9133, 267, 1631, 621, 568, 693, 827, 476, 274, 6279, 269, 24872, 532, 707, 1612, 8527, 1896, 2053, 513, 3018, 711, 1152, 17212, 1407, 2960, 9636, 543, 18274, 17207, 267, 621, 849, 17990, 707, 19460, 1062, 269, 8131, 568, 10889, 609, 3109, 4174, 701, 3297, 3750, 269, 3973, 27125, 519, 6177, 1360, 8499, 630, 8145, 1897, 519, 6177, 568, 2469, 547, 19081, 1142, 540, 1346, 17207, 543, 596, 1810, 1405, 1616, 621, 4189, 12853, 21225, 1040, 6178, 909, 547, 1205, 519, 5767, 593, 6455, 267, 1007, 13847, 543, 811, 26612, 634, 6177, 779, 2067, 3157, 798, 711, 7816, 519, 17207, 267, 855, 3079, 5372, 873, 950, 519, 991, 14340, 267, 899, 1282, 513, 1689, 538, 4005, 269, 3212, 778, 344, 4991, 513, 2603, 540, 31725, 269, 17421, 827, 6519, 13692, 593, 18660, 6405, 2627, 269, 476, 273, 1296, 3516, 269, 7982, 5725, 1082, 13719, 16190, 2011, 325, 11798, 20054, 543, 2110, 1350, 1938, 269, 1403, 596, 2461, 32092, 532, 513, 2603, 540, 17207, 267, 596, 949, 991, 547, 29746, 519, 19943, 543, 1201, 650, 621, 609, 4195, 1216, 2899, 610, 7466, 269, 2353, 25489, 616, 1776, 1455, 2014, 540, 17207, 9991, 856, 538, 513, 6177, 269, 15019, 10965, 6559, 667, 8812, 6177, 17207, 267, 991, 5796, 269, 4658, 616, 26970, 676, 5017, 711, 1152, 1317, 789, 666, 1451, 547, 2911, 267, 855, 789, 723, 971, 4230, 895, 5944, 4190, 13692, 532, 269, 18237, 17207, 1657, 519, 6147, 543, 19911, 337, 2812, 666, 3362, 2736, 267, 855, 519, 11702, 3238, 1934, 568, 8766, 543, 4166, 13515, 269, 18391, 1394, 267, 713, 5796, 729, 2731, 1271, 269, 3487, 476, 273, 540, 476, 273, 281, 24367, 4173, 595, 720, 269, 1403, 596, 2461, 711, 20938, 609, 707, 30694, 6177, 27897, 267, 2132, 621, 1369, 476, 1789, 2395, 540, 6718, 585, 606, 5385, 610, 32479, 269, 898, 568, 2629, 547, 1832, 15483, 6737, 657, 538, 606, 1604, 602, 786, 1832, 1864, 6126, 543, 2635, 269, 22254, 16447, 2593, 269, 594, 723, 1044, 5143, 602, 952, 513, 15483, 520, 5622, 568, 17411, 7683, 602, 519, 3282, 269, 579, 270, 2004, 4537, 3547, 8170, 25938, 335, 2967, 269, 20002, 616, 267, 676, 2470, 267, 31978, 545, 2831, 602, 536, 7752, 4749, 543, 840, 523, 741, 17207, 3232, 547, 1832, 873, 2973, 269, 11408, 2911, 547, 513, 17022, 950, 707, 15483, 520, 5622, 6238, 547, 7485, 1010, 1378, 17207, 269, 2156, 558, 267, 1490, 30178, 267, 2132, 267, 2770, 742, 267, 4552, 267, 3662, 4552, 267, 6177, 17207, 267, 18660, 267, 9594, 11959, 267, 2973, 267, 2156, 558, 1490, 30178, 5398, 23792, 1548, 993, 594, 286, 4495, 519, 11702, 814, 11074, 267, 6582, 513, 7552, 547, 519, 17022, 547, 723, 519, 7745, 8930, 13692, 6569, 269, 27211, 6785, 602, 519, 15483, 520, 5622, 7452, 543, 546, 6387, 630, 528, 1022, 8869, 16365, 1612, 8527, 585, 602, 2339, 264, 568, 2352, 547, 2661, 609, 269, 1879, 17207, 1205, 15504, 856, 2789, 2053, 267, 3441, 568, 2944, 547, 519, 32235, 538, 799, 789, 1332, 269, 901, 3791, 5813, 607, 547, 1946, 3212, 778, 344, 568, 606, 11108, 4620, 630, 4186, 9009, 547, 519, 10639, 540, 5256, 20703, 25458, 534, 595, 1442, 6737, 657, 1070, 814, 547, 798, 609, 5883, 15483, 520, 5622, 7452, 269, 3171, 1430, 1790, 10107, 568, 1419, 513, 8965, 1966, 267, 2523, 538, 519, 3677, 2249, 540, 5017, 630, 7945, 607, 15483, 6737, 657, 267, 5672, 9155, 267, 543, 3979, 12457, 1612, 12783, 1040, 29114, 568, 3109, 609, 9244, 17804, 3043, 9018, 2766, 17207, 269, 667, 8812, 17207, 666, 581, 513, 1129, 540, 4576, 538, 4620, 5017, 269, 1411, 1522, 5469, 12015, 32740, 2339, 1472, 519, 5887, 602, 568, 711, 1373, 6569, 676, 2560, 634, 17207, 616, 18214, 762, 593, 1312, 5087, 543, 5045, 5011, 3850, 585, 1034, 4365, 2175, 269, 594, 729, 2141, 5143, 2760, 547, 4584, 5346, 17207, 3395, 909, 1317, 789, 941, 4988, 609, 3676, 543, 28797, 676, 1250, 12624, 269, 634, 590, 17139, 584, 4211, 6135, 539, 15483, 520, 5622, 814, 3043, 17207, 267, 513, 5835, 30160, 267, 5835, 17207, 896, 519, 12209, 543, 513, 3109, 3915, 543, 3109, 3952, 269, 689, 938, 4703, 666, 2014, 873, 547, 1413, 18660, 2094, 621, 32290, 519, 1259, 269, 4934, 540, 17140, 519, 15483, 520, 5622, 786, 1376, 17444, 856, 1010, 1378, 17207, 269, 594, 723, 606, 772, 3387, 20255, 595, 1442, 520, 5622, 267, 918, 1170, 525, 269, 3171, 1430, 2530, 4386, 2901, 1317, 519, 6177, 568, 5963, 9561, 17207, 610, 1317, 519, 6177, 267, 610, 922, 21799, 2173, 622, 267, 568, 16116, 856, 922, 17207, 269, 589, 7817, 5795, 803, 513, 2603, 540, 1010, 2025, 6177, 1299, 21868, 4410, 338, 269, 4063, 602, 519, 17207, 593, 519, 2212, 616, 18660, 267, 5017, 6854, 607, 10130, 1058, 581, 10627, 1117, 610, 1397, 1229, 1169, 1554, 269, 1261, 786, 723, 513, 2603, 540, 5872, 609, 1010, 931, 24594, 338, 543, 646, 786, 711, 581, 19252, 269, 962, 16518, 649, 3576, 681, 22095, 585, 513, 3802, 269, 2353, 2924, 11603, 269, 27190, 707, 6177, 609, 1216, 269, 12830, 1344, 827, 18660, 29650, 602, 6146, 721, 256, 19171, 269, 4033, 5017, 666, 1413, 968, 2863, 573, 344, 892, 610, 968, 4134, 515, 767, 1194, 6100, 634, 6177, 8255, 519, 13692, 998, 922, 5023, 267, 9427, 13897, 267, 11935, 543, 15495, 267, 1247, 693, 519, 1482, 942, 1483, 793, 532, 519, 3046, 2125, 865, 602, 519, 13692, 23933, 1175, 1318, 269, 27211, 693, 16819, 781, 2986, 21537, 1047, 538, 654, 747, 7534, 267, 23794, 2073, 6743, 803, 538, 519, 3750, 543, 5693, 5143, 803, 602, 3212, 778, 344, 2877, 513, 8602, 1169, 1554, 269, 1280, 811, 1344, 827, 519, 3676, 267, 2638, 519, 623, 338, 8636, 659, 710, 2142, 752, 543, 3171, 1430, 8376, 2985, 543, 519, 16902, 731, 807, 2985, 269, 799, 1797, 621, 729, 20495, 799, 7028, 707, 3932, 269, 901, 568, 1114, 689, 513, 1769, 11954, 6177, 267, 513, 3043, 15483, 520, 5622, 267, 585, 1383, 267, 602, 814, 18660, 267, 6067, 6470, 17207, 689, 11041, 11843, 689, 1480, 3946, 547, 519, 17207, 269, 15775, 1703, 901, 5250, 568, 3362, 2938, 689, 519, 18736, 2603, 269, 590, 17139, 584, 29931, 23264, 15483, 6737, 657, 616, 3810, 10995, 543, 991, 7899, 540, 2230, 547, 1404, 269, 631, 4821, 16819, 781, 2657, 543, 19884, 10819, 476, 1960, 280, 268, 1220, 280, 631, 4821, 667, 1221, 13458, 2685, 693, 5851, 593, 5412, 476, 3066, 267, 476, 1220, 280, 3267, 595, 720, 4574, 723, 547, 581, 4957, 1896, 2053, 513, 1554, 865, 646, 3085, 1405, 1900, 538, 1010, 5323, 25940, 610, 1205, 1010, 2766, 17207, 18660, 269, 21145, 269, 634, 1646, 540, 2417, 13692, 17244, 5673, 593, 950, 538, 519, 544, 14115, 4783, 519, 3644, 1101, 3576, 3180, 269, 901, 2985, 568, 827, 15483, 6737, 657, 17444, 856, 741, 1378, 17207, 269, 3171, 1430, 338, 4299, 676, 645, 293, 291, 309, 798, 711, 2673, 1055, 610, 616, 5762, 3293, 267, 543, 12015, 1973, 666, 581, 2938, 538, 519, 1608, 600, 639, 269, 22505, 532, 1152, 2185, 726, 6979, 540, 17207, 267, 30546, 519, 20703, 25458, 534, 15483, 520, 5622, 267, 945, 568, 538, 1249, 513, 8004, 267, 4667, 21933, 643, 1190, 547, 1200, 3592, 2347, 24052, 1145, 269, 29114, 17207, 723, 1082, 3096, 585, 513, 6177, 267, 519, 1292, 3283, 1373, 8184, 543, 3666, 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 ]
[ 580, 337, 4176, 320, 1004, 616, 5219, 547, 607, 4437, 615, 6874, 580, 337, 4176, 320, 1004, 610, 519, 968, 11390, 321, 612, 320, 892, 1004, 267, 1183, 321, 612, 320, 2495, 661, 761, 516, 534, 1164, 4133, 269, 5637, 519, 570, 580, 337, 4176, 320, 543, 570, 580, 516, 11031, 538, 661, 761, 16699, 616, 1360, 2673, 10252, 547, 519, 6803, 1895, 570, 580, 2001, 753, 538, 570, 580, 2001, 267, 18629, 563, 3674, 717, 2465, 345, 4587, 982, 12355, 888, 10481, 685, 14162, 568, 4587, 982, 12355, 269, 634, 9510, 12355, 1603, 13742, 4266, 1394, 547, 827, 476, 12010, 14514, 543, 2983, 685, 14162, 13742, 4266, 547, 827, 476, 8182, 271, 14514, 634, 1433, 540, 2037, 5255, 538, 2983, 685, 14162, 269, 634, 1152, 2407, 12377, 540, 519, 3883, 540, 2037, 5255, 568, 538, 519, 17255, 6599, 328, 8084, 2983, 3887, 345, 1893, 563, 3674, 2549, 9618, 545, 4587, 982, 12428, 888, 2005, 568, 519, 4013, 543, 2324, 1893, 540, 18629, 269, 2549, 9618, 545, 568, 835, 540, 519, 8828, 12054, 12792, 4654, 9275, 538, 18629, 7258, 14803, 20899, 267, 570, 580, 337, 4176, 320, 267, 570, 580, 516, 267, 717, 2465, 345, 267, 2871, 571, 2102, 5984, 267, 8125, 6590, 3092, 907, 799, 616, 2808, 1454, 4587, 982, 519, 8832, 12054, 12792, 4654, 971, 607, 12355, 1299, 12428, 267, 2687, 547, 2487, 1382, 4681, 563, 1692, 798, 596, 2161, 594, 2648, 596, 547, 513, 8004, 538, 2549, 9618, 545, 888, 2252, 596, 530, 13860, 2161, 594, 2648, 596, 585, 513, 812, 596, 666, 2161, 2048, 292, 342, 1372, 327, 1446, 16852, 685, 585, 513, 14799, 596, 666, 2161, 2048, 292, 342, 9188, 327, 1446, 16852, 685, 543, 585, 1082, 1004, 596, 666, 2161, 2048, 292, 14954, 778, 8811, 783, 12317, 340, 9957, 1631, 713, 568, 519, 1455, 2262, 875, 547, 2161, 594, 2648, 596, 538, 2549, 9618, 545, 269, 4746, 4481, 972, 568, 713, 2262, 602, 596, 786, 946, 1141, 707, 2648, 585, 713, 2021, 610, 2367, 568, 25442, 269, 0, 18455, 7332, 267, 700, 2088, 670, 28045, 729, 1127, 9887, 2947, 2053, 513, 1554, 267, 2141, 1354, 11755, 269, 1452, 2395, 1352, 25173, 519, 1216, 538, 513, 19943, 267, 7132, 519, 1216, 689, 1200, 3905, 1216, 11480, 267, 543, 3096, 621, 547, 1216, 1200, 4677, 563, 14071, 2661, 538, 24332, 2223, 1352, 6941, 267, 968, 663, 649, 917, 875, 519, 10980, 5540, 721, 543, 621, 786, 1860, 938, 1453, 538, 2104, 3034, 299, 2088, 729, 4535, 538, 25676, 10008, 547, 513, 26219, 4651, 543, 22359, 3150, 3993, 267, 543, 8057, 909, 1282, 519, 22359, 3150, 6406, 2782, 269, 2701, 568, 1631, 606, 2708, 528, 538, 5113, 15117, 779, 5682, 307, 1144, 1982, 267, 799, 8036, 1200, 538, 3257, 6940, 10526, 540, 5321, 543, 4213, 269, 2701, 3081, 602, 930, 1004, 538, 519, 12428, 6340, 2146, 267, 2523, 1346, 945, 1810, 1406, 3717, 1454, 2296, 543, 519, 11361, 267, 1522, 917, 513, 2370, 827, 6940, 281, 5310, 789, 4076, 4862, 540, 1648, 9494, 1769, 15620, 543, 1216, 3608, 17643, 21650, 855, 789, 2461, 26997, 547, 1577, 513, 24928, 883, 741, 2777, 547, 3888, 873, 269, 5682, 307, 1144, 568, 519, 3501, 4316, 547, 4497, 873, 538, 6940, 1317, 621, 2636, 1200, 547, 6338, 1007, 2093, 547, 873, 267, 609, 7874, 1753, 11564, 563, 17606, 779, 1434, 547, 723, 2576, 596, 917, 267, 945, 596, 3972, 267, 547, 2995, 596, 3388, 1496, 12671, 4264, 2713, 316, 5608, 700, 2088, 3081, 563, 763, 1004, 1352, 11564, 616, 6126, 547, 6108, 6266, 540, 942, 609, 1200, 267, 2921, 1200, 998, 519, 2777, 607, 789, 2491, 875, 789, 946, 1648, 543, 1216, 269, 700, 2088, 1287, 15565, 2081, 789, 666, 2569, 741, 4199, 946, 269, 8625, 789, 4235, 7401, 267, 3548, 543, 2911, 827, 519, 1604, 269, 2701, 3081, 602, 519, 22359, 3150, 2146, 30128, 7184, 827, 519, 1604, 454, 25748, 1352, 1185, 513, 2777, 16823, 689, 5527, 543, 729, 28280, 547, 3605, 646, 3576, 5662, 17489, 29636, 269, 4934, 571, 3022, 693, 713, 3653, 540, 1216, 267, 1352, 729, 14324, 1063, 711, 1373, 678, 8775, 547, 513, 16823, 543, 2731, 16462, 1864, 547, 946, 1447, 1216, 269, 2701, 4956, 267, 538, 519, 1439, 267, 547, 979, 585, 519, 9940, 1935, 269, 2290, 3781, 936, 12129, 1352, 5143, 1864, 827, 5682, 307, 1144, 267, 543, 875, 1352, 543, 1200, 9393, 1185, 5063, 19927, 827, 519, 1604, 269, 3973, 1352, 5018, 602, 267, 7429, 5527, 799, 814, 519, 20407, 267, 5245, 568, 513, 3819, 2197, 267, 609, 711, 2614, 1216, 547, 3653, 1022, 269, 7053, 267, 1352, 1577, 17277, 602, 538, 1200, 7622, 789, 1491, 2947, 8792, 29636, 269, 634, 1985, 1554, 267, 519, 16823, 1185, 4389, 1010, 17643, 942, 676, 3368, 563, 1103, 5527, 267, 700, 2088, 3081, 267, 972, 568, 711, 1454, 6161, 827, 1216, 20317, 269, 26288, 568, 1114, 1107, 950, 1352, 5030, 972, 1352, 1031, 547, 723, 547, 4163, 11369, 1115, 540, 1216, 547, 513, 2034, 3613, 800, 19887, 269, 634, 1216, 1131, 581, 2139, 585, 2185, 3108, 543, 1287, 2759, 1055, 585, 5216, 267, 865, 3025, 1185, 547, 2445, 543, 18359, 621, 269, 1358, 849, 1185, 547, 581, 6297, 609, 5201, 282, 538, 26288, 972, 616, 1379, 22520, 269, 700, 2088, 779, 8068, 602, 950, 1004, 12446, 538, 5245, 267, 1419, 789, 2461, 9599, 693, 519, 7805, 19957, 11606, 540, 1216, 593, 7148, 543, 5201, 693, 519, 31300, 540, 513, 6467, 269, 2334, 779, 1946, 1352, 779, 865, 16994, 547, 948, 1004, 1174, 1946, 649, 798, 991, 547, 18359, 1648, 543, 1216, 267, 547, 948, 938, 1604, 543, 849, 547, 4688, 593, 1379, 12014, 563, 1805, 800, 676, 5484, 7534, 4201, 518, 514, 523, 0, 1692, 798, 594, 2285, 3597, 10479, 547, 3593, 538, 12380, 888, 1692, 547, 12315, 17848, 17658, 850, 2471, 547, 513, 14871, 538, 12380, 454, 268, 6396, 476, 272, 281, 17006, 547, 17848, 6828, 1210, 721, 1069, 617, 269, 2913, 1294, 875, 649, 666, 9886, 3339, 3593, 3597, 1569, 676, 4946, 547, 3597, 1895, 269, 6693, 268, 6396, 476, 273, 281, 17006, 547, 17848, 6828, 1210, 14871, 5417, 16710, 269, 6693, 268, 6396, 476, 274, 281, 3798, 1746, 1315, 31756, 9706, 817, 23424, 3758, 269, 6693, 268, 6396, 476, 275, 281, 17553, 607, 14181, 334, 14871, 563, 1692, 666, 594, 1205, 3597, 1510, 521, 30186, 888, 16524, 2626, 281, 1411, 1590, 2901, 723, 715, 8008, 3008, 14684, 291, 538, 1315, 31756, 4882, 30186, 619, 2073, 610, 2845, 607, 3597, 269, 6423, 4179, 2517, 2532, 889, 31583, 2593, 270, 638, 5465, 270, 15704, 25240, 270, 1410, 31146, 1606, 30186, 2914, 603, 719, 1790, 817, 5320, 269, 2705, 267, 952, 1982, 596, 1616, 547, 2196, 607, 3597, 1510, 521, 30186, 568, 513, 7387, 630, 528, 513, 9226, 267, 1659, 330, 267, 829, 331, 1070, 596, 666, 1406, 563, 1692, 798, 594, 2285, 513, 3593, 521, 30186, 27704, 888, 2414, 946, 713, 1907, 267, 596, 991, 547, 3390, 519, 4971, 521, 30186, 910, 338, 543, 1287, 4283, 707, 521, 30186, 10957, 269, 3767, 4283, 519, 4971, 1471, 30186, 543, 519, 1907, 786, 1930, 519, 1315, 31756, 4882, 30186, 619, 3758, 585, 11049, 1040, 16440, 543, 2673, 519, 3758, 543, 723, 519, 3593, 2845, 856, 543, 2845, 1394, 538, 269, 1358, 1058, 1631, 723, 513, 2407, 2039, 540, 521, 30186, 22864, 563, 1432, 1281, 669, 7116, 476, 6507, 278, 1611, 888, 30787, 476, 6507, 278, 27704, 547, 513, 3758, 610, 15682, 1797, 602, 621, 786, 581, 28505, 267, 1060, 762, 543, 4291, 17014, 676, 782, 3755, 543, 949, 10460, 513, 5458, 3354, 1981, 269, 2560, 11711, 9562, 666, 581, 4957, 1210, 519, 669, 1144, 4971, 543, 27704, 609, 519, 669, 7116, 4971, 563, 1432, 666, 594, 946, 3079, 540, 521, 30186, 888, 15411, 11905, 14181, 334, 10201, 2510, 454, 268, 634, 7046, 7034, 291, 798, 553, 4971, 568, 2147, 547, 521, 30186, 543, 814, 1044, 2823, 539, 547, 824, 1949, 563, 268, 717, 26214, 721, 969, 563, 3963, 596, 1058, 2760, 946, 521, 30186, 888, 2171, 2760, 946, 521, 30186, 1317, 621, 4229, 721, 547, 1826, 811, 982, 2556, 538, 1931, 547, 2196, 519, 12981, 649, 991, 547, 798, 938, 6009, 269, 26681, 1133, 1460, 6862, 12380, 12134, 721, 952, 649, 2731, 1616, 547, 798, 1945, 267, 602, 568, 267, 621, 1281, 711, 2161, 968, 8923, 13182, 602, 596, 1616, 547, 798, 713, 3034, 3674, 521, 30186, 647, 324, 3983, 2259, 888, 273, 12226, 269, 898, 568, 1434, 2259, 547, 2057, 7900, 811, 3527, 607, 3597, 982, 596, 991, 547, 269, 521, 30186, 16881, 713, 676, 3850, 596, 547, 2196, 1367, 12981, 607, 3597, 1510, 2348, 547, 2845, 538, 607, 3597, 543, 1510, 17596, 606, 7317, 3597, 7387, 585, 4247, 596, 1131, 6382, 711, 2196, 513, 7387, 547, 798, 563, 1432, 568, 519, 3017, 1063, 521, 30186, 543, 3597, 3593, 888, 306, 30186, 8255, 513, 2582, 4971, 609, 3597, 22864, 269, 1879, 596, 14892, 521, 30186, 4971, 267, 519, 1062, 12987, 596, 585, 707, 1699, 3593, 2272, 779, 10957, 1354, 4881, 4971, 607, 519, 3597, 3593, 269, 2560, 14181, 334, 8255, 513, 2582, 4971, 609, 3597, 22864, 1107, 621, 3085, 1406, 6467, 547, 519, 3597, 3593, 610, 2154, 513, 5094, 3597, 3593, 10957, 269, 0, 26222, 7991, 3131, 8526, 540, 519, 4317, 8177, 540, 21094, 4886, 538, 918, 655, 790, 333, 22810, 267, 3794, 698, 1695, 10588, 267, 645, 1415, 17703, 30231, 3204, 1890, 454, 763, 1646, 540, 2518, 9235, 538, 2487, 5756, 814, 4607, 12600, 3007, 689, 513, 1297, 540, 2229, 31794, 543, 5170, 547, 1995, 1713, 2208, 269, 21302, 9235, 1646, 538, 918, 655, 790, 333, 22810, 1759, 593, 9235, 3334, 630, 275, 288, 910, 16007, 267, 10333, 267, 29319, 267, 543, 606, 322, 650, 2456, 1040, 634, 1826, 540, 1382, 602, 786, 581, 1031, 568, 12007, 10855, 1382, 269, 29149, 1382, 568, 1382, 602, 568, 5645, 856, 547, 3313, 519, 1871, 540, 4830, 4632, 267, 2901, 835, 610, 811, 4632, 630, 785, 8817, 264, 1510, 1818, 16198, 267, 610, 16046, 609, 824, 4632, 269, 634, 4104, 729, 23498, 547, 581, 1031, 607, 513, 8498, 540, 918, 655, 790, 333, 22810, 543, 3366, 676, 513, 22810, 10361, 3957, 3057, 329, 3570, 620, 5362, 9546, 1731, 269, 918, 655, 790, 333, 22810, 1869, 2982, 513, 8739, 14426, 1272, 1062, 602, 11438, 519, 2757, 2418, 540, 14642, 532, 269, 918, 655, 790, 333, 22810, 729, 11280, 607, 513, 15805, 1858, 585, 519, 14642, 532, 2757, 8498, 676, 519, 17135, 540, 5101, 10084, 5178, 1993, 328, 14181, 597, 2006, 269, 634, 3932, 568, 602, 9235, 1646, 538, 918, 655, 790, 333, 22810, 814, 24009, 782, 3334, 540, 9235, 267, 12077, 16007, 267, 10333, 267, 29319, 267, 543, 606, 322, 650, 2456, 630, 275, 288, 1040, 5900, 10330, 610, 18845, 538, 918, 655, 790, 333, 22810, 616, 2919, 689, 741, 1292, 1761, 267, 12077, 689, 519, 8739, 14426, 2460, 538, 519, 1106, 540, 9821, 602, 616, 1869, 9244, 17947, 1851, 519, 2146, 269, 0, 288, 1007, 20716, 13234, 26747, 585, 519, 16671, 14899, 2549, 1495, 11420, 1382, 4672, 3691, 6033, 454, 8649, 1495, 11420, 3163, 5063, 9715, 513, 1007, 20716, 13234, 6174, 630, 4629, 309, 264, 547, 3986, 922, 2702, 547, 1353, 11848, 7286, 8134, 563, 763, 1007, 3937, 568, 9280, 609, 3818, 1922, 4233, 6354, 15975, 7916, 267, 1164, 12413, 6873, 12514, 267, 543, 513, 10386, 1236, 573, 547, 13918, 513, 1804, 7274, 540, 7103, 543, 21439, 563, 763, 11601, 540, 519, 681, 10976, 729, 5631, 6462, 676, 519, 11683, 11660, 9024, 328, 2510, 8750, 11292, 547, 10713, 527, 2946, 700, 10052, 676, 519, 4516, 7690, 585, 16743, 563, 1607, 1007, 1533, 6361, 7308, 19603, 3937, 568, 513, 10682, 1770, 267, 855, 811, 11932, 513, 1713, 6454, 936, 519, 1101, 2549, 1495, 11420, 8343, 681, 10976, 9715, 538, 476, 1220, 274, 543, 1232, 2174, 2153, 539, 538, 476, 1001, 279, 563, 306, 15471, 2685, 7318, 538, 4262, 8062, 20829, 519, 2549, 1495, 11420, 538, 5181, 476, 1708, 271, 593, 519, 853, 6441, 1177, 5270, 267, 519, 1007, 681, 10976, 786, 1118, 922, 1101, 11848, 5692, 538, 5147, 476, 1708, 272, 538, 519, 6997, 30786, 7256, 543, 645, 3530, 514, 7345, 607, 851, 540, 513, 1788, 3366, 676, 18243, 327, 748, 773, 2160, 538, 5698, 609, 17341, 2160, 267, 519, 2160, 540, 2836, 326, 776, 267, 10713, 527, 2946, 700, 10052, 543, 30656, 543, 744, 10895, 4516, 563, 8649, 1495, 11420, 3163, 849, 6663, 547, 1118, 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 ]
[ 5036, 2139, 1142, 1032, 269, 5272, 4320, 666, 581, 12349, 1312, 538, 1820, 267, 585, 513, 811, 3946, 6823, 1995, 267, 610, 593, 938, 3059, 3760, 585, 513, 811, 7317, 1995, 267, 610, 1312, 563, 5804, 519, 27228, 10794, 543, 20088, 3896, 912, 23895, 14896, 622, 476, 1911, 1296, 540, 1533, 6288, 1686, 689, 707, 4928, 256, 1452, 2200, 2709, 918, 1700, 277, 3610, 519, 4316, 547, 11753, 519, 27228, 3557, 5244, 2578, 27812, 883, 21195, 267, 4245, 543, 2238, 269, 4045, 1053, 609, 938, 1533, 6288, 1062, 998, 1187, 2238, 602, 616, 13988, 609, 1533, 4441, 585, 1565, 563, 18439, 519, 1686, 540, 27228, 779, 9510, 1533, 6288, 267, 932, 611, 1258, 3557, 5244, 267, 543, 3605, 519, 1004, 267, 9086, 543, 6454, 3785, 602, 1118, 519, 6288, 1018, 621, 568, 2221, 269, 3973, 1589, 827, 1271, 2621, 538, 707, 1272, 543, 1628, 513, 15415, 540, 707, 1378, 563, 18204, 7992, 12729, 543, 18520, 17796, 883, 9752, 281, 634, 590, 5495, 13612, 2464, 17563, 585, 24956, 545, 27148, 454, 5804, 519, 23889, 12729, 543, 18520, 17796, 883, 9752, 3896, 912, 9928, 337, 583, 514, 1125, 519, 27284, 11905, 4433, 994, 308, 2955, 519, 12745, 454, 5649, 9737, 519, 20514, 454, 17357, 549, 4011, 622, 543, 4676, 1393, 454, 15307, 28344, 513, 1773, 9476, 1043, 21931, 454, 11764, 3405, 1125, 15937, 32438, 454, 2005, 568, 1898, 585, 7855, 547, 1683, 1053, 609, 1585, 3255, 547, 4497, 609, 3119, 543, 6281, 2959, 538, 606, 8076, 543, 2502, 6073, 602, 18187, 919, 602, 799, 568, 2944, 676, 4648, 538, 1585, 4610, 540, 1353, 630, 310, 2130, 267, 476, 1708, 271, 1040, 3414, 519, 946, 540, 519, 590, 5495, 13612, 2464, 17563, 585, 9752, 609, 12729, 543, 18520, 17796, 267, 7855, 666, 5265, 21934, 1245, 519, 1565, 1995, 585, 1053, 547, 1450, 873, 513, 811, 4830, 267, 14374, 2861, 1935, 269, 1323, 3773, 4324, 540, 3450, 1053, 538, 713, 6073, 568, 602, 519, 1983, 543, 4485, 602, 789, 2308, 2429, 519, 1184, 11604, 1346, 2877, 547, 3927, 6330, 1585, 5380, 543, 8369, 267, 1519, 2757, 543, 1514, 2923, 267, 609, 799, 789, 616, 21947, 593, 513, 3232, 4493, 630, 301, 16430, 267, 476, 1001, 274, 1916, 2026, 1053, 1847, 998, 519, 5722, 5933, 540, 519, 590, 5495, 13612, 2464, 5943, 267, 519, 590, 5495, 13612, 2464, 5811, 16847, 585, 946, 609, 3119, 543, 6281, 2959, 568, 3730, 630, 9987, 3239, 1070, 3958, 267, 7855, 786, 1616, 547, 946, 519, 590, 5495, 13612, 2464, 17563, 5811, 16847, 547, 948, 3391, 1053, 998, 519, 7634, 543, 1142, 540, 519, 5933, 540, 519, 590, 5495, 13612, 2464, 5943, 563, 5804, 1160, 3519, 269, 7775, 326, 3896, 912, 2108, 2414, 3895, 524, 643, 1006, 267, 2565, 3206, 267, 2069, 267, 543, 5483, 15114, 676, 9306, 519, 605, 543, 598, 7440, 547, 3181, 23534, 2152, 538, 513, 3551, 267, 1875, 4820, 16388, 267, 11884, 3015, 1259, 3034, 7437, 938, 3896, 267, 1160, 3519, 3820, 267, 649, 4196, 607, 513, 1875, 1532, 328, 1078, 1344, 2707, 585, 938, 3755, 269, 1284, 1459, 21433, 5294, 543, 931, 540, 3181, 23534, 2152, 267, 607, 1134, 607, 513, 3984, 540, 4704, 1344, 4143, 547, 1346, 2152, 267, 8499, 21503, 543, 16432, 676, 938, 1382, 5234, 543, 15769, 269, 1284, 946, 519, 605, 543, 598, 3898, 1317, 621, 31267, 2185, 6859, 912, 272, 269, 3689, 267, 676, 20392, 3988, 547, 1312, 5011, 540, 606, 3390, 538, 513, 2427, 8386, 20933, 3898, 267, 649, 1118, 621, 4443, 585, 873, 547, 1294, 519, 3017, 538, 519, 5013, 543, 7440, 6035, 676, 1142, 2427, 563, 273, 269, 5822, 267, 938, 605, 543, 598, 3898, 5932, 1018, 649, 1289, 968, 17754, 1030, 2772, 10539, 2223, 4929, 3988, 547, 6560, 609, 1134, 1790, 18677, 15852, 7158, 267, 543, 267, 4061, 267, 547, 4497, 538, 2976, 894, 3206, 547, 25666, 741, 1378, 5784, 269, 22419, 945, 723, 513, 840, 25365, 2070, 540, 606, 3390, 949, 1745, 811, 8746, 538, 741, 2070, 267, 610, 789, 949, 1689, 741, 2070, 269, 769, 2901, 2013, 267, 1082, 786, 5431, 602, 519, 1184, 540, 16565, 543, 9691, 10442, 1344, 814, 513, 6225, 543, 17598, 1198, 593, 741, 3375, 6194, 563, 274, 269, 12059, 267, 519, 3898, 2306, 3988, 811, 8746, 543, 6899, 538, 7234, 543, 3181, 908, 741, 5784, 609, 1866, 267, 6616, 1018, 519, 968, 1278, 2427, 892, 949, 1589, 563, 275, 269, 19549, 267, 4101, 3988, 547, 4983, 1312, 5011, 540, 606, 3390, 11148, 547, 2569, 519, 10171, 602, 789, 786, 18992, 547, 519, 968, 12047, 517, 1436, 892, 540, 1346, 945, 3180, 15852, 5784, 563, 5804, 634, 4414, 626, 878, 1154, 10794, 3896, 912, 763, 4414, 626, 878, 1154, 10794, 568, 2966, 547, 13599, 267, 4497, 267, 543, 7668, 4961, 1472, 519, 3390, 540, 2797, 23799, 878, 1154, 269, 17497, 267, 519, 2797, 1062, 538, 1034, 2829, 2636, 519, 1533, 9777, 2209, 2933, 547, 2721, 519, 3515, 269, 901, 1062, 568, 1641, 547, 513, 2647, 2039, 540, 28407, 543, 6354, 2827, 602, 5000, 1651, 3518, 757, 547, 2721, 13102, 799, 2149, 741, 16295, 2864, 982, 1981, 606, 1930, 16311, 563, 3528, 3695, 875, 519, 1062, 1568, 267, 607, 1134, 607, 875, 1930, 621, 568, 547, 6057, 267, 634, 4414, 626, 878, 1154, 10794, 2636, 5716, 547, 1995, 519, 19178, 540, 835, 540, 519, 1034, 1271, 630, 344, 564, 2547, 6956, 264, 3344, 540, 938, 2797, 1062, 269, 634, 3014, 2488, 513, 2596, 4367, 547, 519, 23799, 878, 1154, 1062, 267, 2636, 5716, 547, 2263, 519, 2081, 538, 799, 28407, 666, 24183, 519, 1062, 267, 543, 2488, 9623, 827, 6963, 7341, 1107, 1519, 513, 1404, 762, 4528, 540, 519, 18000, 1676, 21637, 3915, 547, 6542, 519, 2081, 602, 519, 1062, 1522, 581, 1500, 811, 5812, 609, 28975, 540, 1434, 10350, 269, 15332, 4730, 519, 3014, 267, 519, 1357, 3135, 585, 634, 4414, 626, 878, 1154, 10794, 2488, 513, 5763, 540, 1344, 827, 23799, 878, 1154, 538, 1169, 1533, 607, 1134, 607, 3246, 3946, 6823, 3255, 585, 18523, 6278, 543, 2797, 2962, 563, 5804, 519, 17323, 10632, 3896, 912, 2171, 1711, 1543, 543, 3756, 585, 938, 3896, 609, 891, 3853, 912, 272, 264, 1677, 1039, 3280, 543, 3308, 2360, 547, 1118, 1565, 1187, 543, 811, 12300, 563, 273, 264, 1677, 1374, 3756, 609, 1082, 7411, 2157, 865, 602, 5716, 786, 3136, 547, 581, 13934, 1100, 2339, 875, 2484, 789, 3356, 563, 274, 264, 1677, 1683, 3756, 602, 786, 3635, 5716, 685, 12058, 454, 4910, 1545, 585, 9752, 7489, 1977, 14740, 543, 3778, 454, 763, 2487, 2333, 538, 4550, 268, 2026, 1014, 6285, 543, 519, 10795, 2669, 676, 7784, 540, 3670, 7489, 2021, 538, 11908, 593, 4728, 476, 1704, 628, 267, 814, 6383, 4901, 543, 2200, 538, 1489, 540, 519, 7489, 1977, 2146, 269, 15858, 5717, 1310, 10795, 32333, 899, 713, 610, 519, 2527, 15246, 538, 645, 30629, 267, 12548, 1058, 581, 17411, 5402, 269, 7351, 4760, 2065, 2259, 568, 547, 1445, 593, 519, 2729, 543, 2833, 540, 519, 9601, 267, 9306, 513, 4628, 1480, 1944, 4605, 540, 741, 2729, 269, 6153, 1514, 2257, 2259, 1058, 1331, 1312, 519, 2591, 5185, 676, 7489, 4892, 29270, 513, 1279, 1686, 540, 10168, 543, 7130, 267, 607, 1134, 607, 519, 10781, 543, 7418, 540, 7489, 4892, 547, 519, 2528, 543, 1686, 454, 1993, 519, 2136, 2276, 563, 19350, 616, 2200, 2813, 676, 3084, 3906, 543, 2200, 609, 1808, 4296, 547, 27228, 1686, 563, 5804, 519, 28652, 769, 3896, 912, 313, 7112, 769, 568, 513, 1863, 267, 5680, 2861, 3760, 602, 2337, 1053, 1628, 7924, 543, 3140, 3206, 1983, 998, 968, 1372, 788, 546, 1161, 892, 883, 3119, 543, 6281, 2959, 563, 313, 7112, 769, 779, 2228, 1565, 1604, 2934, 476, 1240, 1543, 11656, 772, 2529, 269, 1686, 4559, 602, 7110, 707, 2834, 6044, 543, 948, 596, 946, 2029, 547, 1489, 1053, 685, 17117, 540, 1312, 1543, 543, 1983, 2838, 676, 519, 1007, 267, 2362, 4441, 912, 22461, 7335, 6054, 5702, 543, 9691, 454, 22461, 17291, 2278, 779, 1448, 540, 2070, 543, 3483, 454, 22461, 12056, 538, 2362, 19195, 267, 1257, 2861, 5717, 454, 22461, 5675, 28706, 543, 12819, 3594, 16135, 538, 2963, 454, 5804, 519, 6744, 1108, 3896, 912, 13425, 1108, 779, 4245, 543, 824, 2200, 1397, 596, 875, 547, 6330, 2221, 779, 4101, 1344, 5251, 269, 1411, 786, 1451, 875, 547, 2697, 23674, 1344, 267, 3343, 856, 6325, 2959, 267, 543, 4019, 2565, 3206, 1983, 547, 5094, 1249, 2861, 1543, 689, 7301, 3125, 338, 563, 13425, 1108, 3947, 596, 519, 6208, 540, 2247, 543, 2645, 547, 6218, 543, 4612, 1344, 269, 1656, 596, 2744, 606, 1620, 540, 519, 2956, 540, 519, 4585, 27594, 1909, 540, 519, 2046, 563, 5804, 519, 23413, 10955, 3896, 912, 307, 3633, 7232, 323, 568, 570, 3633, 779, 6107, 543, 2069, 11036, 269, 570, 3633, 7232, 323, 779, 5692, 568, 547, 8141, 543, 8661, 519, 2093, 540, 3610, 543, 1053, 1472, 519, 1158, 269, 18421, 649, 798, 7028, 1565, 2443, 689, 6721, 513, 3395, 5399, 540, 3312, 19347, 7044, 2073, 547, 3246, 606, 3486, 3760, 585, 3610, 547, 1711, 741, 1378, 7317, 4245, 267, 547, 4543, 8049, 1053, 1472, 519, 8608, 3142, 570, 3633, 547, 741, 3506, 543, 2744, 6881, 7924, 1983, 267, 547, 14120, 5499, 5718, 1369, 570, 3633, 7232, 323, 779, 2518, 3060, 540, 936, 476, 20981, 267, 1822, 3610, 269, 570, 3633, 7232, 323, 814, 6738, 689, 606, 2856, 4502, 10825, 883, 606, 8366, 20421, 2069, 3760, 602, 5713, 6634, 540, 3610, 543, 1053, 1472, 519, 1158, 1169, 3018, 563, 5804, 519, 2817, 19193, 18482, 543, 3194, 3896, 912, 763, 2817, 19193, 540, 19866, 23089, 568, 519, 4013, 1592, 540, 519, 13780, 779, 8978, 4025, 17709, 540, 11091, 269, 8191, 1242, 676, 519, 2817, 19866, 27264, 2920, 540, 476, 3422, 277, 267, 519, 2817, 5244, 6796, 779, 2817, 19193, 540, 19866, 23089, 568, 851, 540, 513, 3084, 1982, 547, 11282, 543, 1489, 1857, 543, 4357, 3646, 547, 2697, 267, 6218, 267, 543, 2149, 3013, 779, 8978, 543, 18840, 1670, 2200, 563, 32046, 676, 6167, 302, 4741, 585, 9483, 4065, 543, 1514, 2090, 19829, 20917, 13100, 3205, 540, 21563, 534, 4400, 3427, 538, 15345, 21036, 267, 519, 29661, 1222, 6651, 568, 6098, 585, 1647, 543, 1164, 1153, 3610, 547, 4001, 20835, 269, 634, 3391, 666, 581, 1031, 538, 922, 30810, 585, 513, 19496, 17489, 1576, 610, 621, 666, 581, 1031, 547, 7110, 2200, 602, 513, 4116, 2907, 3096, 269, 898, 568, 13615, 547, 519, 2817, 21816, 776, 11621, 538, 13188, 543, 519, 2817, 11038, 17402, 4441, 269, 3958, 267, 1142, 3992, 568, 5532, 547, 519, 27228, 4317, 5525, 543, 22720, 3951, 4441, 2429, 269, 898, 568, 1863, 547, 946, 543, 4647, 543, 814, 18913, 15942, 585, 3610, 563, 19931, 20835, 3340, 602, 1053, 723, 513, 16994, 1620, 540, 519, 2081, 538, 799, 2043, 267, 4213, 267, 6608, 267, 543, 7239, 1118, 3664, 547, 21138, 1480, 3854, 267, 2168, 3854, 267, 543, 2067, 2200, 1851, 4244, 3096, 269, 901, 568, 851, 540, 519, 2804, 7744, 1184, 543, 3322, 519, 7156, 540, 3790, 543, 2640, 609, 519, 10700, 3804, 540, 1818, 3664, 602, 786, 5512, 2043, 267, 4213, 267, 543, 7239, 547, 581, 607, 1134, 11325, 607, 2009, 269, 634, 1353, 540, 20835, 2488, 1053, 609, 519, 2035, 543, 2645, 2556, 585, 606, 2804, 1259, 540, 3206, 543, 2337, 873, 1174, 519, 5872, 540, 18046, 543, 23965, 538, 6990, 10876, 269, 9483, 7744, 543, 5578, 995, 946, 540, 2804, 2645, 2721, 2390, 513, 2178, 3490, 540, 1702, 827, 1480, 3854, 267, 2244, 267, 9541, 267, 2724, 267, 4747, 543, 2504, 267, 21259, 267, 782, 540, 799, 616, 1898, 547, 1373, 513, 3811, 16724, 563, 5804, 519, 2817, 3778, 4303, 3896, 912, 13233, 3778, 4303, 568, 24574, 1359, 609, 519, 2817, 7736, 578, 618, 585, 519, 28299, 547, 29428, 519, 5033, 1172, 514, 1417, 27812, 540, 519, 2136, 2276, 269, 8625, 267, 17252, 295, 543, 715, 8461, 786, 1711, 4928, 2326, 602, 5031, 1114, 5380, 593, 519, 1977, 7169, 267, 2038, 1977, 14081, 267, 543, 519, 4797, 3646, 547, 1711, 513, 811, 3501, 9769, 2429, 519, 13524, 543, 14206, 5553, 563, 4322, 4928, 2200, 786, 948, 3610, 4497, 1053, 609, 2189, 3119, 2959, 543, 4798, 540, 9111, 543, 15114, 2429, 2136, 2276, 1686, 563, 19688, 568, 11038, 17402, 543, 2817, 17826, 13600, 454, 8266, 539, 2630, 616, 6402, 547, 2200, 602, 786, 948, 596, 4001, 827, 2883, 7924, 543, 1210, 6965, 538, 1514, 2090, 563, 22437, 4479, 543, 4317, 5525 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4176, 952, 789, 4769, 1405, 1205, 30039, 585, 741, 22838, 693, 519, 13792, 5757, 543, 585, 782, 519, 2182, 960, 789, 1705, 1310, 1701, 834, 3383, 8119, 834, 3383, 21009, 323, 534, 4956, 547, 1491, 519, 29153, 619, 593, 606, 856, 1633, 986, 573, 267, 585, 930, 2962, 543, 513, 4960, 585, 561, 2393, 1701, 834, 8489, 616, 789, 2469, 8119, 2311, 2993, 1767, 267, 834, 2467, 568, 606, 2025, 19622, 19266, 622, 1472, 1934, 945, 729, 2324, 585, 3751, 715, 329, 531, 950, 649, 3576, 936, 269, 1261, 1185, 5143, 715, 329, 531, 827, 930, 10195, 547, 519, 2484, 7178, 4534, 1141, 12563, 723, 6266, 540, 5763, 267, 855, 849, 4617, 2367, 543, 3500, 9635, 267, 15151, 269, 3143, 25245, 12563, 723, 986, 3660, 936, 972, 1354, 267, 855, 621, 4992, 1360, 9621, 269, 634, 2856, 540, 713, 986, 573, 729, 835, 540, 519, 4128, 1946, 715, 329, 531, 543, 25511, 1998, 323, 7166, 30340, 328, 267, 1317, 30340, 328, 9327, 1405, 6443, 1701, 834, 1432, 616, 891, 10195, 1572, 286, 834, 7197, 540, 519, 12563, 945, 2661, 538, 519, 10195, 616, 1572, 11625, 338, 267, 543, 1289, 741, 10195, 11625, 1633, 269, 1809, 519, 19266, 622, 649, 14437, 609, 1767, 602, 519, 11625, 8573, 27968, 10195, 616, 851, 540, 513, 3677, 5832, 540, 10195, 267, 1572, 4789, 267, 602, 4422, 2484, 547, 519, 5045, 1701, 834, 3383, 21009, 323, 534, 568, 2469, 547, 986, 573, 519, 11625, 338, 267, 1287, 2097, 1394, 1934, 8119, 834, 5591, 269, 2991, 519, 986, 573, 267, 646, 786, 13743, 547, 661, 573, 269, 21009, 323, 534, 2115, 547, 1397, 16764, 602, 646, 1869, 3652, 674, 329, 867, 2033, 781, 2229, 267, 1310, 1373, 2476, 585, 865, 1454, 540, 519, 5162, 1701, 962, 978, 341, 843, 530, 9229, 267, 834, 3891, 568, 22892, 1394, 547, 661, 573, 19952, 8119, 834, 6546, 781, 519, 1544, 1701, 834, 26466, 5984, 781, 561, 641, 21758, 512, 1080, 10590, 962, 978, 341, 843, 11231, 513, 11878, 593, 513, 9467, 1606, 1222, 16144, 5087, 269, 5221, 621, 1500, 1082, 13515, 693, 13272, 2389, 12495, 593, 519, 1259, 267, 519, 7552, 1394, 547, 661, 573, 3576, 22221, 2395, 269, 590, 643, 4862, 5432, 3723, 25074, 10024, 1200, 1753, 267, 1287, 519, 3280, 540, 25192, 1373, 14736, 539, 1055, 269, 590, 643, 2322, 1524, 1200, 15144, 32734, 3058, 269, 834, 312, 978, 341, 843, 286, 3657, 596, 1394, 2907, 8119, 962, 978, 341, 843, 586, 8215, 267, 834, 6546, 812, 786, 5397, 803, 21173, 256, 1548, 513, 3653, 540, 942, 256, 1261, 781, 1055, 593, 513, 1448, 1652, 986, 573, 267, 1175, 585, 1187, 256, 674, 944, 10590, 2652, 454, 2537, 281, 654, 12239, 8028, 4629, 7704, 5990, 654, 2969, 2207, 24761, 7943, 8593, 593, 590, 1758, 1922, 329, 867, 269, 1684, 17899, 540, 26776, 267, 15454, 26310, 539, 575, 1638, 338, 4963, 743, 539, 538, 519, 3636, 7178, 2842, 267, 1164, 909, 936, 519, 14299, 6853, 4544, 25984, 1216, 269, 634, 2011, 1159, 8215, 540, 6070, 4248, 267, 5614, 6253, 31090, 3037, 543, 3165, 269, 898, 729, 519, 1101, 1434, 4365, 540, 519, 22892, 4005, 269, 634, 20352, 729, 13576, 7178, 269, 21009, 323, 534, 543, 29235, 21144, 674, 329, 867, 2033, 1922, 16146, 10356, 593, 519, 590, 690, 526, 531, 2703, 802, 269, 14033, 2421, 941, 1614, 7199, 23302, 543, 2413, 2112, 1606, 4721, 269, 634, 6928, 1532, 4265, 619, 538, 590, 690, 526, 531, 941, 811, 4359, 982, 1346, 538, 661, 573, 282, 6616, 1007, 267, 1732, 2081, 547, 1286, 557, 543, 3728, 523, 519, 18073, 1790, 773, 806, 269, 634, 3515, 540, 519, 1279, 1606, 4721, 2095, 539, 12347, 689, 6367, 547, 1216, 1467, 547, 29523, 269, 1452, 941, 519, 1655, 23302, 9635, 21009, 323, 534, 1185, 2938, 4534, 519, 20923, 540, 3751, 715, 329, 531, 781, 18239, 269, 3962, 729, 3476, 982, 12964, 2367, 14084, 1439, 3562, 15134, 269, 1879, 2938, 689, 519, 4395, 267, 1142, 2112, 1606, 1222, 729, 8032, 899, 519, 6316, 540, 606, 9649, 4949, 269, 1879, 2938, 689, 1657, 267, 519, 2112, 1606, 4721, 1185, 519, 5546, 540, 3728, 3165, 269, 7348, 539, 689, 519, 2427, 267, 1142, 2112, 1606, 1222, 729, 519, 3337, 540, 513, 10116, 2173, 3019, 610, 513, 32127, 5023, 269, 623, 3796, 540, 12308, 2914, 571, 5529, 13743, 2173, 6814, 543, 15985, 956, 540, 522, 1513, 543, 10833, 2407, 540, 7727, 4988, 519, 18073, 13807, 1678, 1232, 802, 269, 634, 4388, 540, 519, 6367, 1790, 739, 338, 941, 4988, 609, 16463, 11435, 269, 3962, 540, 519, 6367, 1790, 739, 338, 729, 20077, 883, 519, 3337, 540, 513, 7715, 781, 2212, 267, 547, 19225, 523, 9409, 15798, 2869, 1080, 267, 543, 621, 729, 1360, 3983, 9939, 585, 891, 23598, 547, 581, 3254, 693, 1753, 269, 2201, 519, 16064, 540, 835, 6928, 4534, 621, 729, 519, 7887, 835, 267, 609, 519, 2012, 834, 310, 1511, 11219, 32658, 257, 4534, 941, 1079, 11308, 524, 1137, 267, 1142, 8066, 513, 986, 1597, 269, 1452, 2462, 267, 3109, 1922, 324, 9312, 5017, 2893, 593, 829, 2583, 267, 4111, 1836, 3168, 1472, 269, 2290, 540, 519, 986, 26223, 14478, 519, 15454, 1922, 324, 9312, 575, 1638, 338, 1085, 872, 4221, 1657, 269, 634, 824, 835, 9575, 513, 18057, 564, 602, 729, 18388, 532, 538, 922, 21799, 267, 1835, 684, 4221, 519, 796, 331, 13806, 17079, 538, 922, 581, 752, 269, 3962, 6928, 5645, 3595, 15918, 871, 2989, 4401, 17428, 585, 5986, 7188, 2996, 593, 13272, 269, 2755, 593, 519, 4262, 267, 621, 729, 2356, 1932, 6632, 267, 2842, 344, 543, 5906, 547, 946, 3595, 269, 634, 2367, 7555, 593, 519, 2703, 802, 20595, 6106, 540, 5230, 15144, 896, 7423, 1606, 1889, 1563, 32028, 25151, 269, 3962, 540, 873, 1185, 561, 28289, 2059, 513, 2462, 11308, 4262, 1532, 2135, 4534, 519, 1152, 3364, 267, 824, 982, 9604, 267, 602, 789, 941, 4847, 547, 3142, 593, 4604, 4534, 8066, 9660, 267, 29198, 267, 10788, 3298, 267, 16152, 267, 30660, 540, 1630, 334, 2763, 267, 2036, 338, 267, 9925, 749, 2044, 267, 3068, 1790, 5593, 267, 7574, 7405, 267, 21802, 15236, 543, 7329, 11169, 269, 26062, 19317, 2367, 22283, 689, 519, 546, 1442, 5196, 1142, 2112, 1606, 1222, 269, 1879, 519, 13743, 540, 513, 2112, 1606, 1222, 729, 1524, 267, 8938, 540, 519, 2367, 1131, 4737, 267, 2947, 8424, 540, 4737, 619, 513, 2427, 269, 589, 2848, 619, 2006, 630, 15367, 12199, 519, 6928, 264, 11542, 693, 519, 29523, 269, 589, 1413, 13050, 11542, 676, 519, 6367, 269, 634, 1614, 824, 1875, 268, 992, 619, 1131, 32548, 1216, 689, 519, 6928, 1532, 18847, 543, 5372, 1022, 887, 4546, 945, 2877, 513, 2736, 269, 634, 27490, 11057, 522, 1513, 941, 1142, 3476, 982, 1614, 2367, 14084, 1439, 3562, 15134, 269, 634, 522, 1513, 585, 519, 2367, 693, 519, 6659, 4395, 543, 15493, 540, 519, 6928, 941, 519, 13074, 267, 1317, 519, 1216, 11060, 729, 513, 20991, 3914, 269, 1280, 519, 1482, 2601, 267, 519, 4737, 619, 693, 519, 4395, 543, 519, 15493, 540, 519, 2112, 1606, 1222, 941, 2356, 519, 32399, 2367, 269, 9093, 2893, 593, 741, 4262, 1532, 2135, 525, 547, 4737, 269, 1879, 21009, 323, 534, 586, 8215, 267, 834, 15411, 519, 9475, 10590, 1142, 887, 4546, 6569, 513, 3574, 12210, 689, 606, 522, 541, 3620, 1961, 269, 4438, 4737, 532, 267, 891, 28283, 3880, 1194, 896, 519, 522, 541, 268, 32440, 593, 2110, 16463, 12673, 269, 1703, 941, 1793, 1080, 593, 1312, 5011, 540, 519, 522, 541, 268, 32440, 267, 865, 602, 519, 19059, 540, 519, 522, 1513, 1223, 3514, 998, 269, 634, 4737, 619, 1631, 782, 695, 3437, 741, 522, 1513, 856, 543, 1577, 522, 541, 1532, 14435, 10943, 1662, 1524, 267, 1287, 10581, 593, 519, 678, 2089, 1194, 267, 3141, 18022, 22162, 2627, 563, 310, 514, 1424, 689, 513, 13793, 1478, 267, 21009, 323, 534, 887, 1563, 267, 834, 7476, 4712, 256, 8422, 256, 5565, 256, 2290, 256, 29553, 10590, 590, 4869, 344, 2367, 3389, 539, 1394, 269, 834, 303, 1638, 10590, 590, 4869, 344, 522, 1513, 20077, 883, 519, 2220, 26325, 1216, 269, 834, 303, 1638, 10590, 8422, 2112, 1606, 4721, 795, 17064, 539, 2476, 689, 519, 2703, 802, 269, 634, 1507, 15624, 540, 8384, 590, 1758, 27714, 1750, 1229, 269, 630, 2005, 729, 711, 2312, 2436, 789, 941, 1750, 1359, 693, 519, 5578, 540, 519, 4737, 619, 610, 519, 1249, 602, 789, 941, 6028, 4884, 4700, 634, 3592, 22286, 520, 5377, 539, 9635, 6083, 730, 1164, 593, 519, 13566, 535, 329, 867, 269, 4634, 609, 521, 5661, 1524, 267, 519, 31830, 344, 7178, 1532, 27172, 2842, 5280, 873, 1847, 269, 1879, 856, 540, 8289, 540, 590, 690, 526, 531, 267, 519, 16463, 11435, 941, 3144, 1055, 519, 6367, 1790, 739, 338, 269, 634, 20077, 267, 13556, 7715, 268, 21650, 1350, 1563, 693, 519, 1216, 6619, 269, 3143, 9409, 4262, 1606, 2869, 1080, 1131, 1631, 546, 732, 547, 4323, 891, 9635, 269, 769, 519, 1647, 540, 1142, 16064, 729, 513, 2462, 3625, 540, 18073, 267, 4396, 569, 3728, 2989, 547, 519, 1183, 601, 543, 2427, 268, 1026, 338, 2630, 269, 1452, 7161, 941, 1572, 834, 1245, 21031, 2437, 543, 1142, 1185, 513, 8559, 585, 513, 15958, 14006, 269, 21009, 540, 519, 2367, 593, 1142, 6928, 6854, 4737, 532, 267, 1247, 519, 1866, 5249, 1927, 547, 16245, 513, 15958, 1790, 739, 543, 13472, 621, 538, 606, 2025, 14799, 269, 901, 729, 5906, 267, 607, 519, 9635, 941, 12604, 2331, 1247, 519, 544, 6814, 941, 1373, 6659, 267, 543, 513, 2462, 5951, 18644, 513, 6928, 781, 2427, 1287, 1223, 547, 653, 548, 621, 269, 634, 3490, 540, 519, 15958, 729, 4371, 17401, 538, 519, 2025, 14799, 676, 1776, 5230, 267, 20077, 3625, 540, 18073, 1572, 513, 834, 15289, 2987, 25237, 2668, 3767, 519, 9870, 540, 519, 521, 5661, 269, 3962, 15144, 6352, 13743, 1185, 1044, 18955, 543, 588, 17097, 676, 2021, 267, 543, 729, 676, 2484, 519, 1034, 7199, 4062, 540, 3937, 593, 1142, 6928, 269, 3962, 13743, 1185, 3144, 513, 1895, 540, 590, 1758, 2914, 1580, 3275, 547, 1118, 269, 1306, 729, 1287, 6752, 762, 267, 519, 521, 5661, 593, 891, 1614, 2112, 1606, 4721, 1185, 7299, 26145, 540, 2699, 543, 3043, 269, 744, 6150, 887, 6647, 1500, 540, 9267, 6350, 1606, 7219, 941, 7923, 547, 519, 521, 5661, 543, 2879, 8898, 998, 9475, 538, 7161, 540, 3574, 7923, 547, 519, 16064, 269, 9093, 10544, 5523, 519, 24516, 1540, 7475, 540, 519, 18052, 547, 586, 1678, 519, 521, 5661, 909, 519, 15958, 9708, 269, 634, 2842, 21401, 519, 521, 5661, 267, 547, 1750, 619, 269, 834, 5591, 811, 4737, 532, 10590, 634, 9635, 30000, 4464, 609, 513, 5488, 3432, 269, 744, 1513, 941, 15504, 1394, 538, 543, 5116, 5196, 986, 4242, 547, 3819, 269, 9093, 2893, 593, 741, 13556, 4262, 1532, 2135, 525, 267, 16889, 267, 930, 6704, 1216, 610, 14420, 269, 966, 3317, 267, 6562, 532, 267, 14478, 21009, 323, 534, 269, 1215, 547, 1205, 20947, 543, 9101, 286, 634, 2112, 1606, 4721, 838, 539, 7178, 2059, 519, 4544, 25984, 11469, 540, 4262, 21226, 267, 607, 590, 1758, 1922, 329, 867, 3366, 873, 1063, 519, 6777, 31795, 6244, 10239, 547, 5087, 543, 5045, 269, 12384, 11396, 4806, 539, 519, 17446, 540, 13272, 268, 1633, 269, 6884, 789, 5293, 1166, 4169, 540, 13265, 610, 16933, 610, 23161, 267, 21737, 593, 3039, 15649, 540, 1007, 17898, 709, 1540, 2371, 269, 630, 763, 581, 6814, 6743, 6094, 282, 2063, 2887, 781, 7556, 1185, 1044, 3983, 267, 543, 519, 896, 325, 539, 3484, 15515, 6814, 1185, 18923, 15068, 519, 5162, 4700, 6884, 519, 2112, 1606, 4721, 5293, 513, 1507, 10068, 1532, 13331, 269, 634, 29940, 1131, 2322, 1524, 741, 24437, 543, 13622, 2000, 1149, 547, 4585, 519, 18239, 13743, 676, 269, 589, 10935, 2407, 540, 29940, 729, 8384, 950, 519, 4583, 2112, 268, 27815, 540, 674, 329, 867, 2033, 543, 590, 1758, 267, 4262, 1606, 1157, 267, 10709, 539, 1010, 1225, 569, 2212, 936, 519, 2427, 540, 23027, 11219, 32658, 543, 28520, 1010, 14254, 883, 519, 535, 329, 867, 269, 1879, 519, 1614, 2112, 1606, 4721, 6603, 519, 5023, 540, 590, 1758, 1922, 329, 867, 267, 789, 2848, 1229, 22236, 883, 519, 1930, 4262, 269, 634, 1413, 13050, 593, 23027, 11219, 32658, 11329, 547, 519, 5087, 543, 586, 8215, 267, 834, 288, 6928, 547, 519, 1318, 10590, 2991, 513, 2656, 16145, 267, 21009, 323, 534, 1705, 711, 2628, 3007, 547, 519, 16042, 19742 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2913, 781, 1451, 811, 827, 1018, 5949, 547, 519, 18303, 1004, 5063, 543, 875, 621, 4299, 873, 14156, 543, 2618, 10999, 780, 4089, 476, 272, 281, 1548, 19732, 2989, 538, 5840, 888, 25748, 267, 972, 941, 930, 3978, 7526, 1063, 5840, 543, 513, 1895, 1572, 8621, 553, 269, 3509, 5840, 529, 2713, 538, 1978, 2127, 1185, 547, 4734, 741, 5321, 1317, 540, 15177, 6285, 4947, 689, 8621, 553, 269, 1358, 6410, 547, 824, 2694, 540, 519, 2197, 1141, 789, 12479, 789, 1131, 581, 10930, 269, 4634, 1498, 789, 949, 723, 1044, 9308, 2922, 267, 891, 2621, 3361, 2178, 4664, 1851, 1082, 5840, 529, 780, 4089, 476, 273, 281, 16508, 12186, 540, 18366, 454, 18183, 26555, 899, 713, 666, 2014, 4606, 971, 607, 4250, 267, 18354, 267, 10845, 267, 10539, 267, 543, 5134, 6412, 269, 4658, 1522, 1745, 14126, 827, 741, 3106, 543, 14221, 827, 519, 2104, 269, 1452, 4664, 666, 2063, 585, 513, 1360, 1279, 942, 267, 2523, 952, 519, 3510, 4929, 519, 11605, 5170, 269, 1280, 1383, 267, 4952, 2348, 547, 2196, 547, 513, 10514, 12062, 1169, 942, 596, 5873, 513, 10978, 6846, 269, 2334, 3586, 2566, 3217, 513, 17167, 1310, 513, 1247, 780, 4131, 781, 946, 606, 21658, 547, 948, 1174, 1732, 281, 6056, 827, 14964, 513, 16945, 1723, 2120, 269, 2311, 1101, 267, 621, 781, 1187, 543, 13858, 267, 855, 4166, 2614, 267, 707, 7181, 6238, 669, 9506, 267, 2295, 14797, 267, 27374, 1205, 17570, 344, 267, 543, 596, 1616, 547, 1205, 1055, 269, 1160, 14075, 539, 4598, 547, 7920, 3871, 899, 891, 666, 1291, 547, 3929, 25874, 543, 2790, 1072, 2152, 269, 6684, 267, 5571, 4655, 5540, 1004, 7184, 936, 942, 780, 4089, 476, 274, 281, 11814, 633, 23247, 454, 2691, 1082, 1004, 1369, 513, 2146, 610, 2197, 1995, 2147, 15779, 2621, 267, 649, 1289, 621, 834, 3712, 29193, 8194, 2668, 15526, 23465, 8335, 267, 855, 1419, 3838, 2833, 1711, 513, 1455, 6125, 269, 18877, 7680, 7104, 8194, 3006, 1265, 1007, 2081, 547, 1489, 1142, 824, 543, 1332, 6793, 1927, 269, 1717, 267, 23232, 689, 7104, 8194, 2356, 3340, 942, 267, 1620, 267, 6568, 267, 543, 3318, 6351, 780, 1103, 938, 1650, 267, 7366, 540, 5215, 540, 5840, 529, 4810, 713, 1826, 540, 18497, 7092, 1813, 547, 519, 2487, 7526, 269, 4256, 3232, 2729, 4957, 13497, 282, 3506, 6806, 267, 4213, 17388, 267, 543, 3885, 5030, 609, 10462, 269, 6736, 891, 2591, 267, 789, 1336, 24176, 6616, 789, 14201, 1405, 4805, 267, 5373, 4222, 689, 741, 8284, 4961, 945, 5185, 519, 1482, 14488, 780, 6962, 912, 9199, 6373, 3884, 1405, 2141, 2653, 547, 5431, 267, 2943, 621, 5222, 6634, 1472, 519, 1158, 1813, 547, 1585, 3029, 540, 4655, 269, 1635, 1565, 827, 519, 2360, 540, 12675, 2566, 543, 8194, 267, 649, 1831, 1732, 9280, 547, 2709, 8296, 543, 3343, 3435, 585, 1346, 10010, 269, 5927, 987, 1944, 609, 1866, 262, 23434, 2337, 1628, 4296, 2066, 4529, 543, 11942, 2518, 9322, 269, 1306, 2104, 3401, 267, 1577, 721, 11441, 2509, 2870, 12560, 5054, 1141, 3025, 7959, 2922, 543, 6462, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 295, 4348, 338, 540, 5215, 540, 5840, 529, 723, 2451, 741, 5321, 538, 519, 5087, 543, 519, 5045, 267, 3001, 547, 519, 5266, 5150, 4099, 540, 519, 2197, 563, 6624, 979, 547, 3207, 538, 741, 2922, 11623, 610, 1857, 24181, 267, 610, 12687, 909, 538, 519, 1647, 540, 519, 3781, 547, 4585, 519, 5767, 3377, 269, 12140, 616, 856, 267, 5520, 960, 851, 942, 610, 711, 693, 782, 267, 543, 519, 4346, 568, 1929, 4771, 563, 3719, 5840, 529, 723, 11124, 1776, 2186, 540, 2530, 2443, 2620, 267, 7096, 543, 1279, 18835, 563, 1607, 835, 13676, 741, 20369, 3832, 267, 741, 2631, 540, 7104, 1582, 543, 1134, 5630, 269, 1411, 666, 5873, 621, 538, 741, 9739, 267, 4063, 621, 538, 741, 3903, 540, 17895, 894, 1913, 543, 1294, 621, 593, 741, 8188, 2443, 519, 4743, 540, 968, 933, 723, 1044, 1185, 3034, 6524, 519, 8621, 553, 4323, 267, 5840, 529, 608, 24231, 6015, 543, 2909, 341, 5964, 563, 5445, 5156, 602, 513, 9983, 2112, 267, 899, 519, 476, 3192, 274, 962, 558, 918, 2089, 584, 2782, 267, 1223, 711, 4755, 1586, 267, 543, 602, 267, 952, 621, 1705, 267, 741, 7952, 1131, 562, 760, 621, 538, 519, 5229, 563, 10190, 3357, 519, 8621, 553, 4323, 267, 3592, 4010, 476, 2004, 1296, 2663, 267, 11488, 519, 4182, 883, 513, 2620, 8194, 267, 519, 1259, 3567, 779, 9983, 4323, 593, 772, 2529, 269, 10617, 6062, 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, 1012, 10439, 1944, 2480, 2297, 609, 5124, 692, 1103, 713, 1770, 267, 649, 786, 1451, 875, 547, 946, 5124, 547, 14650, 7574, 10253, 543, 1294, 875, 789, 666, 11457, 936, 942, 269, 1284, 786, 581, 1210, 519, 2387, 3901, 15003, 319, 5399, 547, 1711, 938, 32331, 267, 865, 1577, 781, 1376, 676, 16459, 621, 543, 1104, 532, 621, 883, 938, 5124, 1604, 780, 3499, 7090, 454, 256, 26921, 3888, 21267, 454, 5814, 21267, 28272, 607, 12301, 454, 7884, 2162, 18140, 1154, 2480, 2297, 692, 763, 1101, 3364, 649, 991, 547, 798, 568, 1711, 513, 1599, 602, 786, 4729, 513, 2016, 4336, 269, 589, 7574, 4336, 568, 3274, 513, 1305, 540, 4967, 602, 616, 11231, 538, 513, 1880, 1931, 269, 769, 938, 2013, 267, 649, 786, 2099, 513, 4336, 607, 513, 1592, 540, 2338, 267, 1141, 1142, 1297, 14687, 547, 513, 1880, 4063, 780, 2080, 568, 519, 3009, 585, 938, 2387, 7120, 318, 29173, 319, 1599, 1384, 3499, 7090, 454, 3698, 4729, 318, 29173, 263, 29173, 267, 4573, 267, 1775, 2187, 825, 4453, 267, 4949, 815, 12301, 16553, 30831, 4590, 825, 585, 795, 267, 521, 538, 26246, 263, 29173, 2187, 1038, 952, 795, 538, 4573, 9131, 30915, 11172, 912, 2018, 4949, 19502, 8443, 338, 30297, 273, 267, 1496, 271, 267, 272, 3910, 21029, 3299, 524, 284, 332, 583, 9131, 10233, 28710, 561, 342, 284, 274, 994, 1038, 3116, 912, 2018, 4949, 19502, 8443, 338, 30297, 273, 267, 1496, 271, 267, 272, 3910, 21029, 330, 3299, 561, 342, 284, 273, 994, 825, 585, 546, 538, 18358, 9008, 3299, 1412, 321, 18847, 3299, 1412, 3847, 3299, 1412, 2431, 11172, 912, 1038, 4949, 4732, 335, 1149, 314, 323, 4940, 3553, 318, 6665, 1043, 263, 16178, 994, 825, 4949, 15630, 318, 868, 6506, 8443, 7481, 825, 4949, 15630, 318, 12682, 6506, 8443, 7481, 825, 4453, 4732, 1511, 14808, 6600, 257, 907, 270, 8993, 999, 27798, 858, 580, 270, 346, 328, 281, 6734, 323, 20467, 335, 978, 5602, 825, 12301, 25379, 4590, 7884, 4131, 781, 2736, 1524, 1018, 713, 1599, 568, 3257, 1384, 272, 269, 1284, 1101, 1711, 513, 1007, 4137, 543, 7852, 1210, 2387, 10823, 16553, 30831, 13237, 269, 901, 786, 2285, 721, 513, 10145, 17198, 593, 799, 547, 2721, 938, 4336, 563, 273, 269, 1284, 1287, 8520, 998, 1142, 4063, 538, 519, 4336, 1210, 513, 2387, 1721, 319, 8520, 269, 1280, 1142, 4063, 267, 649, 2638, 952, 621, 568, 513, 4063, 602, 814, 1044, 4573, 730, 630, 3467, 593, 713, 2663, 1040, 1403, 621, 814, 1044, 4573, 730, 267, 649, 4729, 621, 538, 513, 1114, 2681, 543, 11098, 563, 274, 269, 1284, 1287, 4894, 519, 838, 1149, 630, 328, 4318, 1421, 519, 10665, 264, 540, 519, 4729, 543, 1305, 519, 1535, 543, 586, 24217, 547, 581, 8900, 269, 901, 3947, 721, 513, 2973, 267, 8766, 626, 4729, 602, 6212, 593, 519, 4967, 2933, 563, 275, 269, 7053, 267, 649, 4688, 519, 4729, 547, 513, 3758, 543, 2673, 519, 4137, 780, 2162, 23688, 908, 2480, 2297, 692, 3086, 602, 649, 723, 513, 1259, 547, 4729, 10253, 267, 649, 991, 513, 1259, 547, 5352, 1007, 10253, 269, 901, 568, 1141, 519, 1523, 540, 15817, 2501, 538, 269, 769, 519, 2796, 540, 2575, 267, 513, 15817, 568, 3274, 513, 1689, 538, 835, 610, 811, 4967, 540, 513, 4336, 780, 2080, 568, 519, 3009, 585, 938, 2387, 332, 583, 622, 318, 29173, 319, 1599, 1384, 3499, 7090, 454, 3698, 4573, 622, 318, 29173, 263, 29173, 2187, 825, 1948, 570, 7495, 302, 281, 25956, 15817, 7954, 454, 825, 2132, 4336, 267, 27835, 30915, 9166, 1496, 3910, 1412, 10233, 9166, 1412, 1042, 262, 8679, 7884, 2171, 4465, 1405, 979, 883, 519, 3877, 540, 875, 547, 2936, 519, 15817, 7954, 1934, 267, 607, 621, 666, 581, 3833, 1950, 543, 5673, 593, 519, 1808, 7574, 2796, 269, 1717, 267, 519, 2596, 2856, 568, 547, 14477, 2824, 835, 610, 811, 4967, 538, 519, 4336, 543, 1689, 741, 12334, 676, 513, 1978, 2179, 780, 763, 2387, 332, 583, 622, 318, 29173, 319, 1599, 3217, 538, 513, 4336, 543, 7024, 513, 1007, 4336, 267, 2059, 609, 930, 27034, 827, 519, 15817, 630, 324, 3052, 1421, 799, 4967, 941, 4573, 730, 267, 1018, 2681, 547, 946, 585, 519, 4573, 730, 4967, 6393, 2162, 9198, 908, 513, 25627, 540, 2480, 2297, 692, 3086, 602, 649, 723, 513, 1259, 547, 4729, 543, 4573, 622, 10253, 267, 649, 666, 5352, 513, 5311, 540, 10253, 543, 14650, 875, 789, 11457, 936, 942, 269, 3371, 568, 519, 3009, 547, 798, 713, 1384, 3499, 7090, 454, 29173, 815, 30385, 316, 476, 1948, 19461, 1125, 519, 4336, 454, 332, 583, 815, 27835, 30915, 9166, 1496, 3910, 1412, 10233, 9166, 1412, 1042, 262, 348, 476, 1948, 19461, 1125, 519, 15817, 27034, 692, 1721, 1775, 538, 2039, 263, 2412, 2187, 825, 4729, 318, 29173, 263, 29173, 267, 4573, 267, 1775, 994, 825, 4336, 267, 4573, 815, 4573, 622, 318, 29173, 263, 29173, 994, 7884, 1607, 3009, 1281, 519, 1739, 1384, 272, 269, 898, 3355, 3278, 519, 4336, 543, 15817, 27034, 563, 273, 269, 898, 17787, 476, 2412, 2053, 267, 1142, 942, 10451, 513, 1007, 4336, 676, 4573, 908, 519, 3105, 835, 563, 274, 269, 898, 13602, 519, 4336, 1210, 938, 2387, 7120, 318, 29173, 319, 1599, 543, 17990, 621, 547, 513, 3758, 780, 2162, 12861, 606, 1323, 11582, 692, 7661, 267, 649, 666, 946, 519, 2387, 3901, 15003, 269, 534, 11582, 319, 9074, 547, 1711, 606, 14318, 540, 519, 4336, 4720, 269, 3371, 568, 519, 3009, 547, 798, 713, 1384, 3499, 7090, 454, 5228, 21267, 269, 534, 11582, 1104, 8342, 322, 2304, 11582, 454, 5228, 623, 6579, 1104, 12005, 454, 5814, 11885, 607, 5286, 692, 14808, 267, 4949, 815, 12301, 16553, 30831, 10797, 3698, 9337, 318, 534, 11582, 9217, 2187, 825, 4949, 269, 27234, 4590, 825, 4729, 318, 29173, 263, 1314, 267, 4336, 267, 4573, 2020, 29434, 815, 8342, 322, 2304, 11582, 6600, 580, 267, 9337, 318, 534, 11582, 267, 14604, 284, 12639, 30784, 1052, 263, 271, 267, 476, 2412, 1070, 8884, 284, 1220, 994, 23116, 815, 30346, 578, 310, 31581, 6600, 1186, 284, 1839, 994, 29434, 4732, 1511, 3488, 907, 270, 339, 5404, 3052, 604, 3299, 5856, 284, 23116, 994, 7884, 1607, 3009, 1281, 519, 1739, 1384, 272, 269, 898, 5932, 513, 1007, 4137, 543, 7852, 563, 273, 269, 898, 11225, 513, 1599, 2387, 26303, 318, 534, 11582, 319, 602, 1579, 1513, 519, 7852, 543, 13602, 519, 1699, 4336, 1210, 938, 2387, 7120, 318, 29173, 319, 1599, 563, 274, 269, 898, 5932, 606, 14318, 1210, 519, 2387, 293, 15635, 2304, 11582, 319, 1362, 267, 8429, 538, 938, 4137, 267, 9337, 1599, 267, 543, 513, 2039, 540, 14604, 563, 275, 269, 898, 5932, 513, 2387, 303, 650, 578, 310, 31581, 319, 1843, 547, 4688, 519, 14318, 607, 513, 717, 9281, 563, 276, 269, 898, 17990, 519, 14318, 547, 513, 3758, 780, 4517, 602, 781, 621, 256, 1284, 723, 1631, 4121, 875, 547, 946, 5124, 547, 14650, 7574, 10253, 543, 1294, 875, 789, 666, 11457, 936, 942, 269, 901, 568, 1175, 835, 1383, 540, 875, 5124, 666, 581, 1031, 585, 3860, 8193, 543, 2575, 14839, 269, 1703, 616, 1082, 824, 7399, 267, 543, 649, 5000, 596, 547, 2263, 873, 593, 707, 1378, 256, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2702, 547, 3310, 519, 4287, 540, 1514, 1689, 267, 25422, 543, 18368, 269, 1635, 891, 267, 2021, 786, 723, 606, 2856, 540, 1018, 547, 5265, 3635, 267, 5431, 543, 547, 2972, 519, 2924, 789, 17330, 269, 1284, 2119, 547, 2992, 593, 2021, 1169, 1554, 538, 519, 1655, 1259, 649, 666, 2479, 1589, 540, 563, 13295, 267, 4728, 814, 1044, 1634, 547, 581, 519, 3923, 2407, 540, 1483, 3074, 543, 16873, 585, 2021, 1472, 519, 8608, 269, 901, 3884, 1406, 8806, 547, 8661, 741, 1909, 538, 519, 2146, 543, 1920, 267, 855, 849, 547, 29428, 741, 18517, 543, 547, 1413, 1394, 693, 875, 2021, 10692, 585, 741, 15698, 543, 9863, 547, 3025, 543, 547, 2933, 602, 621, 568, 1732, 711, 547, 11874, 1589, 827, 519, 7207, 540, 1866, 543, 13951, 563, 2171, 3314, 5449, 2475, 6845, 1807, 543, 1101, 14799, 10830, 776, 22735, 779, 12576, 547, 1169, 2021, 281, 547, 2760, 8969, 602, 596, 2461, 3407, 267, 3532, 543, 596, 17330, 540, 1169, 4960, 543, 4316, 538, 519, 1158, 269, 0, 292, 3394, 781, 11572, 543, 8466, 2372, 582, 725, 454, 300, 2129, 13758, 1234, 5633, 623, 1695, 15442, 328, 267, 849, 1634, 607, 15011, 13758, 1234, 5633, 20961, 267, 729, 519, 2063, 20961, 540, 9459, 689, 476, 1626, 5181, 476, 3707, 272, 2394, 1010, 24057, 992, 676, 519, 22504, 7169, 593, 476, 1556, 5988, 476, 3192, 280, 269, 15011, 13758, 1234, 5633, 20961, 3576, 519, 2140, 20961, 753, 327, 1695, 9497, 21914, 540, 18301, 8442, 593, 476, 2918, 5239, 476, 3422, 278, 269, 1261, 729, 519, 2034, 543, 2063, 16313, 540, 519, 5600, 540, 623, 1695, 15442, 328, 269, 15011, 13758, 1234, 5633, 20961, 623, 1695, 15442, 328, 4371, 1896, 824, 10643, 267, 1519, 602, 540, 589, 787, 877, 15590, 9497, 23409, 540, 519, 589, 787, 753, 8442, 543, 4425, 345, 3073, 3203, 525, 6255, 15546, 9497, 8333, 6387, 2987, 16644, 3971, 20257, 3571, 5326, 540, 1018, 646, 5219, 547, 607, 513, 834, 15124, 6406, 5314, 257, 630, 25324, 1014, 281, 12168, 359, 14534, 21333, 14180, 12168, 357, 404, 366, 14507, 406, 363, 587, 492, 267, 6037, 527, 269, 23984, 611, 517, 3887, 1630, 345, 3073, 264, 538, 9459, 3366, 547, 513, 4028, 4853, 543, 4108, 2413, 5314, 267, 607, 1134, 607, 2804, 543, 1514, 15024, 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 ]
[ 540, 18845, 538, 519, 1858, 1472, 5800, 334, 589, 5586, 516, 563, 306, 14244, 2274, 641, 1245, 334, 4097, 14790, 270, 2641, 14741, 5087, 540, 5800, 334, 589, 5586, 516, 568, 519, 4884, 540, 590, 14244, 2274, 641, 1245, 334, 267, 8547, 538, 476, 9264, 275, 676, 519, 1101, 5428, 540, 4436, 11082, 538, 21586, 9835, 324, 798, 590, 592, 269, 634, 13896, 267, 9591, 2933, 593, 519, 2451, 4871, 540, 519, 21586, 13121, 590, 16394, 267, 13991, 2933, 547, 8105, 267, 1507, 8397, 2872, 543, 4739, 2504, 267, 3976, 18413, 519, 13210, 585, 519, 4884, 781, 2104, 4853, 1646, 269, 2201, 589, 1597, 5866, 3171, 3218, 807, 568, 519, 595, 14505, 798, 1955, 580, 7949, 324, 267, 519, 2777, 13026, 676, 519, 1101, 4436, 13896, 538, 519, 3148, 269, 634, 590, 14244, 2274, 641, 1245, 334, 7467, 814, 513, 4015, 540, 1570, 593, 519, 2038, 2395, 540, 519, 4884, 269, 4033, 2934, 540, 1719, 616, 519, 7467, 798, 7066, 332, 630, 305, 841, 3118, 7467, 1070, 538, 519, 2025, 16749, 6728, 630, 321, 16742, 676, 513, 3703, 6109, 538, 476, 6942, 276, 1070, 543, 519, 3474, 4302, 632, 1234, 920, 320, 23843, 798, 3004, 4472, 327, 11456, 630, 13480, 619, 262, 28046, 5244, 1070, 799, 568, 849, 513, 4104, 15395, 630, 17739, 3842, 19836, 476, 14138, 1916, 303, 2086, 553, 6380, 926, 5244, 454, 13640, 4302, 12142, 670, 10042, 790, 454, 13640, 4302, 12142, 670, 10042, 790, 1704, 14790, 270, 1015, 269, 276, 14741, 7532, 540, 5800, 334, 589, 5586, 516, 630, 11965, 476, 31239, 267, 966, 3554, 14244, 14827, 264, 568, 519, 3474, 4302, 12142, 670, 10042, 790, 267, 513, 1804, 4104, 15395, 609, 17552, 5371, 2127, 543, 3046, 13069, 826, 4609, 269, 476, 1691, 14790, 270, 279, 269, 278, 14741, 3564, 713, 267, 538, 519, 1209, 324, 540, 966, 3554, 14244, 267, 568, 519, 20579, 636, 13168, 5198, 322, 6847, 563, 24961, 540, 5800, 334, 589, 5586, 516, 5900, 10330, 0, 310, 768, 269, 17653, 545, 12171, 7582, 568, 513, 5739, 2780, 21431, 602, 19082, 3533, 1063, 5904, 269, 654, 768, 269, 17653, 545, 12171, 7582, 21128, 593, 513, 2780, 950, 3755, 4647, 538, 31261, 6119, 689, 7270, 269, 4495, 621, 779, 3323, 267, 654, 768, 269, 17653, 545, 12171, 7582, 18187, 919, 936, 5904, 3842, 3060, 3758, 6879, 2130, 543, 5110, 762, 11479, 269, 654, 768, 269, 17653, 545, 12171, 7582, 3468, 338, 1804, 2179, 540, 1062, 6119, 543, 7161, 1062, 3339, 960, 269, 654, 768, 269, 17653, 545, 12171, 7582, 695, 7491, 3060, 1524, 543, 666, 1256, 1118, 1062, 12958, 7164, 8755, 610, 24069, 24631, 267, 3092, 269, 654, 768, 269, 17653, 545, 12171, 7582, 3217, 6266, 540, 3965, 543, 2306, 7783, 1062, 7925, 689, 4731, 342, 4100, 2228, 269, 1548, 779, 8338, 267, 654, 768, 269, 17653, 545, 12171, 7582, 7948, 1406, 581, 6569, 676, 4165, 643, 6400, 1982, 269, 654, 768, 269, 17653, 545, 12171, 7582, 568, 3323, 607, 922, 3758, 814, 1044, 2451, 593, 519, 2182, 5397, 543, 1305, 607, 10081, 2000, 1933, 532, 269, 1677, 2149, 519, 2780, 689, 811, 18453, 3968, 267, 16924, 4894, 654, 768, 269, 17653, 545, 12171, 7582, 607, 4166, 607, 596, 666, 269, 3367, 811, 9890, 454, 310, 768, 281, 310, 514, 3953, 19072, 677, 334, 12171, 568, 9286, 607, 513, 17351, 21431, 3968, 602, 666, 771, 762, 31216, 547, 2744, 1569, 547, 513, 19847, 2780, 543, 1685, 18348, 539, 3527, 269, 4495, 3330, 513, 1062, 267, 654, 768, 281, 310, 514, 3953, 19072, 677, 334, 12171, 666, 1582, 3146, 12393, 267, 3625, 3354, 2645, 607, 1134, 607, 2594, 543, 6494, 2780, 3755, 685, 14804, 1344, 267, 585, 3236, 267, 5491, 3556, 267, 21189, 2338, 267, 3092, 547, 513, 6552, 11360, 518, 269, 3194, 849, 2982, 602, 654, 768, 281, 310, 514, 3953, 19072, 677, 334, 12171, 814, 519, 2702, 547, 28570, 519, 3593, 547, 13311, 7270, 1247, 621, 7161, 873, 689, 17034, 16048, 7270, 269, 898, 4564, 513, 1164, 1981, 547, 2780, 1062, 269, 4495, 1336, 267, 596, 1058, 1205, 7759, 540, 654, 768, 281, 310, 514, 3953, 19072, 677, 334, 12171, 607, 4166, 607, 2009, 563, 310, 768, 281, 310, 514, 3953, 270, 8505, 528, 684, 6993, 292, 289, 12851, 547, 519, 1920, 540, 17494, 269, 898, 8255, 538, 519, 4282, 676, 5275, 4362, 13438, 269, 4495, 7783, 267, 654, 768, 281, 310, 514, 3953, 270, 8505, 528, 684, 6993, 292, 289, 8332, 2478, 519, 7193, 779, 31216, 547, 1450, 21190, 17034, 547, 7783, 5904, 543, 23842, 824, 4731, 342, 4100, 799, 2014, 707, 7193, 538, 1390, 8594, 1510, 707, 10479, 269, 1548, 779, 811, 267, 654, 768, 281, 310, 514, 3953, 270, 8505, 528, 684, 6993, 292, 289, 814, 519, 12588, 547, 2594, 543, 6494, 2780, 3755, 685, 14804, 1344, 267, 585, 3236, 267, 5491, 3556, 267, 21189, 2338, 267, 3092, 547, 513, 6552, 11360, 518, 269, 769, 1931, 547, 2149, 707, 2780, 267, 596, 1058, 4894, 654, 768, 281, 310, 514, 3953, 270, 8505, 528, 684, 6993, 292, 289, 693, 2899, 547, 2057, 2417, 14796, 563, 5649, 811, 9890, 454, 310, 768, 281, 310, 514, 3953, 270, 13900, 558, 6853, 6185, 568, 9286, 607, 23872, 2780, 21431, 3968, 602, 18187, 919, 3728, 543, 14229, 6545, 883, 513, 2780, 1510, 707, 1702, 269, 898, 7139, 11717, 919, 3842, 19035, 7270, 267, 5110, 762, 2923, 610, 7783, 4757, 6835, 269, 4495, 13401, 267, 654, 768, 281, 310, 514, 3953, 270, 13900, 558, 6853, 6185, 568, 2111, 547, 12404, 689, 28456, 3292, 543, 1287, 19082, 610, 18187, 919, 936, 513, 2780, 3060, 1141, 621, 13514, 513, 3978, 3354, 1981, 585, 782, 7783, 1949, 269, 5015, 267, 654, 768, 281, 310, 514, 3953, 270, 13900, 558, 6853, 6185, 5638, 519, 1239, 602, 519, 7193, 3593, 13788, 971, 607, 2845, 1231, 543, 18538, 267, 543, 1287, 18993, 1080, 713, 1344, 547, 606, 30429, 3842, 513, 6552, 7746, 1510, 4758, 596, 1022, 9963, 269, 9747, 267, 1397, 1100, 23502, 547, 654, 768, 281, 310, 514, 3953, 270, 13900, 558, 6853, 6185, 676, 1793, 11691, 621, 607, 3533, 607, 596, 666, 538, 1931, 547, 1118, 2386, 707, 2780, 568, 5150, 563, 5649, 811, 9890, 454, 310, 768, 269, 7773, 3953, 269, 14490, 14725, 18502, 568, 9286, 607, 513, 17351, 21431, 3644, 602, 3096, 1062, 13438, 547, 23309, 883, 519, 19847, 2780, 1062, 1510, 1022, 9844, 269, 654, 768, 269, 7773, 3953, 269, 14490, 14725, 18502, 8332, 2478, 519, 7193, 779, 31216, 547, 1450, 11360, 518, 1569, 543, 4647, 824, 18453, 547, 519, 1062, 799, 3123, 707, 7193, 538, 1390, 8594, 269, 898, 666, 1582, 3146, 12393, 267, 771, 762, 3354, 3301, 689, 1373, 25216, 267, 12189, 1062, 5468, 543, 1256, 1039, 3606, 18453, 547, 606, 7783, 2780, 269, 1306, 596, 666, 1294, 267, 654, 768, 269, 7773, 3953, 269, 14490, 14725, 18502, 568, 17216, 606, 13311, 3364, 799, 1058, 581, 6569, 607, 4166, 607, 2009, 269, 0, 5804, 519, 21517, 540, 681, 4428, 539, 717, 709, 572, 16506, 454, 306, 7428, 568, 513, 9589, 942, 1934, 538, 519, 3345, 6229, 338, 269, 8409, 602, 3442, 547, 2661, 538, 7646, 518, 804, 1307, 21645, 917, 519, 7772, 602, 2501, 609, 6217, 519, 7105, 1228, 324, 9960, 1289, 543, 519, 8945, 548, 540, 15835, 1216, 267, 610, 1175, 7487, 519, 3618, 1586, 269, 1703, 568, 12257, 547, 581, 1336, 1934, 267, 1256, 538, 16095, 4005, 269, 634, 556, 268, 1177, 23818, 540, 519, 2067, 1158, 568, 513, 22205, 2680, 556, 268, 3530, 15256, 602, 267, 5103, 519, 8062, 540, 2413, 812, 267, 519, 1158, 5170, 547, 2490, 593, 922, 7852, 563, 10144, 723, 1082, 32537, 540, 5614, 5614, 7738, 267, 1286, 729, 1127, 267, 9204, 267, 986, 6362, 519, 15989, 267, 3092, 269, 8187, 1919, 849, 723, 32537, 540, 5614, 267, 855, 789, 616, 7361, 2404, 609, 9194, 543, 9960, 269, 9866, 6326, 891, 9259, 666, 7494, 3986, 707, 18399, 540, 513, 5266, 1951, 321, 543, 30255, 4005, 563, 763, 1977, 3574, 32024, 568, 835, 540, 519, 1034, 4277, 3954, 714, 839, 540, 938, 7733, 269, 901, 2189, 543, 2442, 3014, 6177, 22939, 922, 24475, 2059, 519, 13323, 11076, 543, 15911, 3275, 538, 7187, 7733, 630, 332, 1276, 899, 1082, 3687, 5886, 582, 753, 32656, 1358, 1246, 519, 973, 5338, 6777, 1467, 5087, 267, 21945, 593, 741, 9960, 12406, 538, 4728, 267, 1419, 1247, 972, 616, 1869, 15649, 540, 18660, 6777, 16559, 827, 563, 763, 3574, 32024, 10470, 1222, 9161, 568, 1634, 607, 519, 6607, 7544, 267, 543, 729, 4330, 1655, 676, 25548, 334, 2274, 641, 1245, 538, 1010, 25761, 960, 267, 589, 9995, 6019, 1325, 2006, 659, 269, 1261, 6257, 538, 1469, 875, 519, 3574, 32024, 5956, 922, 9161, 950, 21765, 10301, 4010, 476, 271, 269, 4962, 3723, 2275, 663, 956, 269, 634, 5256, 2824, 338, 513, 3903, 6679, 538, 519, 4104, 267, 835, 609, 513, 11953, 5544, 538, 519, 1647, 547, 1450, 1864, 547, 1193, 583, 593, 1010, 20839, 2421, 2370, 7953, 269, 1261, 14578, 2588, 1562, 513, 17725, 890, 550, 1289, 538, 606, 3801, 547, 4482, 513, 19898, 269, 3973, 267, 1510, 9963, 646, 3217, 547, 519, 6607, 267, 10760, 513, 9395, 8375, 18700, 1657, 1010, 3942, 269, 4635, 1614, 6094, 267, 16887, 27059, 13617, 17207, 267, 646, 5932, 513, 1164, 1000, 7867, 532, 3280, 538, 8184, 269, 2311, 519, 30085, 540, 1010, 3303, 2718, 18214, 267, 646, 1166, 583, 1562, 1394, 547, 3618, 1247, 2588, 18146, 513, 5283, 617, 1190, 2112, 17331, 1289, 543, 5956, 519, 4783, 606, 1168, 269, 901, 10565, 6429, 4652, 9529, 544, 1941, 902, 543, 1256, 902, 689, 3735, 4728, 2394, 4873, 563, 24841, 32024, 2338, 723, 1044, 20406, 19394, 936, 519, 2250, 476, 1789, 268, 2412, 1296, 269, 10738, 1175, 519, 2250, 476, 1428, 1296, 649, 723, 2938, 3574, 32024, 3771, 341, 3949, 27298, 676, 936, 476, 2568, 260, 256, 4107, 4966, 3858, 602, 10122, 2157, 616, 711, 519, 2014, 540, 519, 7771, 267, 855, 607, 568, 519, 2013, 538, 1034, 971, 8320, 267, 621, 513, 2530, 540, 7226, 602, 568, 4227, 6177, 2338, 269, 8381, 32024, 2648, 1490, 639, 1506, 2127, 543, 10053, 1762, 2182, 6229, 7733, 269, 1358, 3049, 5097, 593, 3618, 19095, 267, 865, 9053, 7226, 786, 723, 3638, 267, 5848, 11934, 269, 6196, 3484, 4610, 26871, 1154, 547, 620, 1457, 11453, 2709, 4998, 7226, 267, 607, 798, 1762, 607, 5155, 6763, 4947, 538, 5394, 1310, 1579, 2117, 583, 16276, 563, 763, 681, 4428, 539, 717, 709, 572, 5980, 1568, 547, 1711, 543, 2226, 3574, 32024, 7226, 2429, 519, 9456, 2136, 2276, 269, 1284, 20882, 1857, 543, 4357, 2244, 9946, 547, 2226, 2025, 4610, 538, 513, 1490, 639, 1506, 1533, 998, 2834, 544, 12976, 610, 8781, 267, 1711, 543, 2226, 7320, 23761, 607, 890, 550, 532, 12406, 267, 543, 4383, 7733, 630, 31860, 538, 5848, 2127, 264, 547, 1683, 519, 5860, 2877, 676, 891, 4241, 2831, 563, 10144, 1419, 2307, 1946, 3574, 32024, 616, 19394, 538, 519, 3068, 540, 782, 540, 519, 1762, 4104, 649, 723, 2813, 538, 519, 2250, 476, 1789, 1296, 269, 5457, 267, 891, 616, 27436, 5017, 269, 1358, 991, 1434, 7226, 1934, 267, 593, 519, 13323, 11076, 267, 543, 693, 1082, 3247, 1478, 2798, 538, 1063, 269, 9453, 519, 7226, 649, 1711, 998, 3742, 4104, 2359, 267, 972, 1131, 581, 2484, 7864, 6607, 23929, 547, 4585, 607, 513, 681, 924, 540, 11354, 2336, 8867, 641, 1245, 1767, 267, 634, 12416, 540, 519, 6607, 7544, 568, 21892, 3781, 569, 593, 7366, 540, 11396, 267, 519, 5411, 540, 799, 521, 662, 585, 9913, 267, 855, 22426, 519, 21903, 602, 621, 568, 547, 581, 8179, 538, 519, 11596, 269, 1358, 2661, 593, 519, 2244, 267, 855, 711, 676, 519, 2244, 269, 14970, 676, 519, 2244, 543, 979, 856, 547, 1294, 713, 8748, 2067, 9259, 563, 7304, 1157, 29088, 517, 568, 19497, 513, 30400, 13636, 13812, 4437, 6048, 585, 519, 681, 4428, 539, 717, 709, 572, 5980, 563, 763, 16506, 717, 709, 572, 5004, 4643, 454, 29687, 301, 667, 24520, 1234, 548, 1078, 5181, 267, 476, 1001, 272, 994, 763, 3483, 540, 713, 2359, 1544, 568, 547, 5968, 519, 16506, 4972, 540, 7849, 8249, 262, 678, 4428, 539, 1423, 572, 1279, 24365, 2359, 3853, 267, 22905, 2359, 10832, 543, 9072, 267, 4857, 5726, 10256, 267, 543, 2359, 2152, 269, 2776, 14083, 2359, 2994, 616, 849, 4857, 563, 288, 13057, 6240, 540, 713, 2359, 1544, 568, 667, 24520, 781, 24235, 602, 2359, 2994, 8045, 585, 678, 4428, 539 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5331, 513, 1507, 1533, 609, 513, 1507, 2551, 454, 2280, 972, 581, 4074, 22766, 2645, 454, 7474, 5749, 1406, 1031, 454, 2280, 1004, 2015, 2669, 454, 663, 1100, 1847, 2484, 454, 2280, 972, 581, 16996, 543, 7047, 338, 454, 8117, 1100, 2601, 547, 11878, 873, 454, 2280, 972, 581, 24915, 543, 9604, 454, 8117, 1100, 2601, 547, 2308, 873, 454, 2280, 1004, 2132, 547, 519, 946, 540, 25418, 454, 663, 581, 13854, 609, 741, 1426, 454, 663, 20938, 609, 741, 7802, 454, 663, 1543, 609, 741, 5321, 454, 663, 6126, 609, 741, 9821, 454, 2280, 972, 581, 1776, 1533, 865, 2282, 454, 15161, 5873, 922, 5243, 543, 17944, 454, 8117, 2661, 856, 741, 2729, 1510, 1818, 513, 3643, 7536, 24867, 320, 1774, 4221, 267, 14235, 476, 3199, 267, 8144, 676, 4414, 25882, 994, 295, 308, 20315, 268, 2316, 3081, 267, 968, 288, 1390, 1533, 568, 21583, 269, 589, 1507, 1533, 568, 586, 514, 3034, 24746, 8863, 685, 292, 3081, 267, 968, 299, 7776, 2389, 30349, 5030, 1282, 519, 7771, 540, 519, 932, 537, 267, 950, 11805, 823, 25577, 543, 9821, 11124, 267, 543, 646, 24714, 547, 11177, 922, 16495, 998, 3257, 4986, 269, 9747, 267, 693, 519, 1439, 540, 1010, 1433, 646, 16858, 646, 1185, 513, 1507, 1533, 547, 2119, 713, 593, 269, 1809, 646, 2760, 3893, 1010, 6999, 3034, 312, 288, 302, 715, 9590, 3081, 267, 968, 1103, 3504, 2053, 267, 2829, 941, 1082, 543, 1507, 269, 769, 2663, 2053, 267, 789, 941, 1906, 543, 1390, 269, 1809, 1256, 952, 513, 1390, 1533, 4941, 547, 2132, 547, 519, 3504, 2081, 267, 875, 1223, 621, 18313, 9816, 4149, 295, 20315, 918, 7419, 294, 3081, 267, 968, 2691, 521, 1137, 1827, 1390, 2829, 267, 789, 1589, 540, 873, 607, 1507, 2829, 543, 616, 535, 2607, 531, 538, 519, 946, 540, 2200, 269, 1879, 519, 1004, 616, 1082, 267, 521, 1137, 1589, 540, 873, 607, 1906, 543, 616, 6297, 711, 547, 9688, 873, 3034, 295, 308, 15562, 296, 295, 3081, 267, 968, 4415, 519, 4434, 540, 10340, 267, 519, 1379, 540, 2029, 568, 1031, 547, 5372, 1480, 4074, 269, 589, 7047, 666, 4163, 5215, 540, 6550, 267, 543, 513, 10935, 666, 4163, 7366, 540, 15915, 269, 901, 568, 519, 2495, 540, 968, 331, 1987, 22766, 2645, 685, 892, 630, 2419, 2426, 10275, 340, 334, 1750, 3620, 338, 826, 327, 1606, 6062, 327, 28580, 10275, 836, 269, 533, 269, 476, 5038, 1916, 310, 20315, 4888, 4149, 26980, 295, 3081, 267, 968, 2691, 519, 1004, 616, 1543, 609, 741, 2603, 267, 789, 1810, 1406, 6161, 2933, 609, 3001, 2484, 2476, 610, 609, 2469, 547, 2112, 3034, 15578, 962, 2975, 295, 5058, 8863, 3951, 313, 308, 3081, 267, 968, 763, 4505, 17710, 1031, 25418, 538, 741, 2229, 269, 13536, 521, 1137, 5189, 519, 946, 540, 1603, 892, 630, 289, 269, 273, 1916, 310, 308, 8863, 685, 2894, 294, 3081, 267, 968, 10144, 945, 616, 13854, 609, 741, 1426, 543, 20938, 609, 741, 9660, 10027, 880, 741, 2729, 543, 1810, 1406, 15673, 2669, 269, 4658, 945, 616, 1543, 609, 741, 5321, 543, 6126, 609, 741, 9821, 1810, 1406, 1847, 2484, 2476, 269, 1358, 1332, 2025, 543, 5884, 1141, 789, 941, 4535, 3034, 6224, 685, 2894, 294, 15101, 308, 3198, 25286, 5058, 3081, 267, 968, 5445, 616, 13854, 609, 741, 1426, 1317, 789, 6492, 519, 28001, 269, 1358, 616, 20938, 609, 741, 7802, 1317, 789, 616, 24224, 609, 16495, 269, 1358, 616, 1543, 609, 741, 5321, 1317, 789, 616, 1543, 16382, 789, 616, 269, 1656, 789, 616, 6126, 609, 741, 9821, 1317, 789, 21352, 519, 1350, 732, 540, 519, 1158, 3034, 4811, 685, 288, 302, 25526, 302, 4211, 295, 685, 7419, 294, 3081, 267, 968, 17829, 945, 798, 741, 1378, 8105, 543, 22805, 1810, 1406, 3668, 1426, 610, 9660, 269, 1358, 723, 4986, 547, 2285, 543, 3343, 4986, 269, 4208, 1058, 789, 3643, 1866, 18313, 1103, 713, 4050, 738, 1493, 14235, 540, 519, 19248, 1774, 4221, 267, 5487, 334, 2389, 30349, 20217, 721, 547, 4952, 513, 1507, 1533, 609, 513, 1507, 2551, 269, 898, 3576, 3833, 513, 3787, 540, 9345, 547, 8580, 675, 909, 971, 606, 3239, 267, 1256, 538, 5487, 334, 2389, 30349, 779, 1554, 269, 1635, 1287, 267, 607, 962, 7776, 715, 2967, 4967, 538, 1010, 16555, 267, 2829, 941, 1100, 3476, 968, 28236, 543, 1507, 892, 789, 941, 1631, 968, 325, 1168, 543, 1390, 1848, 5295, 1281, 4043, 547, 19597, 622, 267, 1175, 607, 621, 11148, 547, 18348, 563, 299, 7776, 2389, 30349, 19424, 539, 513, 1747, 1141, 1004, 941, 1543, 282, 865, 1543, 267, 789, 2760, 1131, 1616, 547, 4734, 741, 5321, 269, 5487, 334, 2389, 30349, 4718, 1010, 1378, 3668, 540, 1543, 618, 267, 538, 875, 1010, 1378, 1533, 729, 18170, 267, 543, 646, 729, 21422, 547, 4734, 269, 1809, 267, 1141, 1223, 646, 979, 286, 7316, 568, 713, 1747, 267, 609, 513, 1507, 1533, 543, 513, 1507, 2551, 286, 1656, 267, 952, 713, 1747, 6818, 267, 1448, 803, 538, 519, 1318, 4287, 267, 594, 1265, 8885, 21422, 547, 4734, 585, 621, 267, 607, 1134, 563, 2252, 621, 6818, 267, 621, 4992, 899, 968, 1706, 611, 1047, 892, 547, 803, 269, 898, 2965, 814, 2141, 18056, 803, 540, 808, 10611, 10611, 269, 570, 13083, 1329, 779, 1744, 790, 267, 4904, 609, 8570, 23605, 1175, 2247, 532, 741, 1378, 1870, 269, 898, 729, 513, 9490, 8570, 4226, 267, 8197, 267, 945, 2479, 14612, 2484, 267, 5275, 7045, 269, 4208, 1131, 1022, 521, 2033, 8570, 4226, 2479, 1616, 547, 798, 602, 286, 1411, 1522, 4413, 968, 16149, 14254, 1848, 1656, 3833, 513, 1906, 824, 6980, 269, 5253, 568, 9090, 1945, 609, 799, 649, 11129, 547, 581, 13854, 563, 4692, 596, 4952, 621, 286, 898, 949, 3100, 9490, 267, 1256, 4914, 547, 721, 267, 538, 713, 1554, 543, 2085, 269, 9861, 13854, 609, 938, 1378, 1426, 269, 9861, 20938, 609, 938, 1378, 7802, 269, 9861, 1543, 609, 938, 1378, 1753, 269, 9861, 6126, 609, 938, 1378, 9821, 269, 8550, 16462, 811, 7498, 296, 666, 2907, 5873, 519, 1843, 687, 547, 713, 7329, 22690, 545, 4605, 269, 968, 1432, 568, 4636, 609, 16462, 547, 2951, 286, 1548, 568, 4636, 609, 11981, 824, 1004, 779, 4529, 888, 3963, 267, 4986, 269, 23875, 693, 782, 269, 1809, 568, 621, 2009, 267, 1256, 513, 2370, 3787, 267, 602, 519, 2601, 649, 782, 723, 602, 621, 577, 568, 1317, 649, 5749, 1406, 5963, 1543, 269, 1656, 267, 6148, 267, 1175, 6148, 267, 649, 1522, 581, 14281, 609, 875, 6126, 649, 1223, 581, 267, 952, 649, 1223, 1265, 3020, 1543, 618, 1100, 20991, 2476, 982, 938, 1378, 18147, 10651, 888, 296, 6157, 1810, 1406, 1589, 5487, 334, 2389, 30349, 779, 9837, 568, 547, 4744, 10707, 267, 610, 11981, 824, 4529, 269, 2991, 782, 267, 646, 729, 3478, 4712, 547, 968, 1326, 519, 22946, 856, 540, 667, 17690, 2223, 5128, 269, 1548, 646, 568, 581, 332, 15351, 532, 568, 519, 1259, 649, 616, 1373, 18170, 269, 898, 7472, 771, 20880, 618, 538, 938, 2729, 269, 4279, 2829, 609, 1804, 5095, 267, 875, 1223, 1004, 581, 4397, 547, 581, 1543, 609, 602, 888, 763, 4641, 585, 1034, 540, 721, 267, 803, 3769, 267, 568, 602, 14827, 568, 711, 513, 1360, 14323, 4781, 269, 1284, 616, 2469, 547, 723, 547, 1118, 798, 7168, 1454, 1141, 649, 616, 269, 1809, 267, 972, 568, 1945, 585, 1346, 540, 721, 602, 723, 547, 3251, 267, 1934, 538, 2221, 779, 14235, 267, 607, 1134, 563, 4263, 2547, 267, 594, 1336, 621, 1934, 269, 1924, 1934, 568, 1018, 594, 993, 3257, 269, 4197, 602, 972, 3884, 1406, 1454, 602, 594, 666, 798, 827, 875, 594, 993, 1373, 18170, 267, 608, 27238, 269, 594, 4956, 602, 972, 729, 513, 646, 1188, 540, 513, 2603, 602, 594, 1223, 798, 827, 875, 594, 993, 1373, 18170, 267, 24323, 563, 296, 723, 10288, 267, 543, 3136, 547, 1931, 1250, 1272, 538, 971, 513, 1259, 602, 594, 993, 607, 2370, 4299, 676, 519, 5007, 2229, 607, 594, 666, 7654, 581, 269, 594, 723, 3964, 1250, 1378, 1744, 790, 538, 1250, 1378, 1753, 267, 1250, 1378, 18147, 269, 594, 723, 8036, 8885, 547, 581, 1543, 609, 1447, 269, 594, 723, 1426, 2614, 267, 7802, 2614, 267, 1753, 2614, 267, 543, 9821, 2614, 269, 1656, 594, 993, 6126, 609, 1447, 269, 10815, 267, 594, 723, 1336, 998, 1995, 267, 568, 5963, 811, 2336, 296, 4126, 713, 814, 1044, 5363, 585, 782, 540, 596, 269, 1656, 1434, 9939, 609, 707, 1378, 2123, 1744, 790, 563, 16446, 25882, 12857, 519, 1739, 609, 2221, 779, 14235, 912, 295, 308, 20315, 268, 2316, 630, 2767, 8025, 595, 269, 645, 5861, 12175, 19612, 607, 519, 14117, 14890, 267, 646, 729, 519, 6205, 540, 519, 1476, 539, 3130, 540, 11031, 602, 3964, 741, 30566, 344, 2059, 519, 14117, 5211, 269, 4935, 267, 646, 729, 2808, 519, 24663, 540, 4457, 10340, 269, 1879, 14155, 2209, 8118, 519, 631, 1177, 836, 339, 14241, 9723, 2125, 267, 789, 849, 1336, 2185, 5892, 7164, 5931, 11911, 547, 1864, 281, 932, 532, 17304, 267, 26757, 6255, 2286, 267, 4258, 978, 267, 543, 19248, 1195, 10224, 563, 312, 288, 302, 715, 9590, 630, 15876, 273, 268, 8687, 276, 1040, 2290, 540, 519, 1034, 4583, 5339, 5515, 540, 519, 932, 685, 532, 15913, 543, 12167, 540, 1603, 538, 519, 2511, 540, 3504, 18340, 269, 3571, 16320, 1108, 540, 3504, 5339, 3631, 267, 918, 17703, 550, 30349, 2274, 1080, 10224, 267, 814, 1185, 513, 1390, 3310, 593, 5830, 543, 3788, 538, 946, 269, 5487, 334, 2389, 30349, 1680, 7302, 340, 563, 312, 2975, 295, 5058, 8863, 3951, 313, 308, 630, 4338, 303, 21715, 3633, 808, 11070, 14875, 19006, 10396, 5990, 21398, 10498, 5508, 8863, 20315, 2464, 1040, 5900, 30744, 547, 16099, 654, 523, 269, 0, 2691, 6158, 827, 519, 8082, 602, 2221, 779, 19920, 1702, 972, 616, 1079, 3044, 31399, 625, 540, 2219, 269, 476, 272, 2852, 5267, 602, 972, 568, 1100, 3063, 8082, 543, 602, 519, 2566, 3942, 540, 1459, 1554, 5108, 540, 19920, 568, 1100, 1585, 982, 1991, 5481, 540, 19920, 269, 634, 824, 12200, 540, 2808, 2829, 602, 519, 1453, 540, 19951, 616, 18284, 11999, 3196, 547, 8011, 27268, 543, 13998, 269, 901, 12200, 540, 16545, 1256, 811, 31234, 602, 1813, 547, 519, 1249, 540, 891, 2799, 12503, 972, 568, 16854, 4160, 602, 568, 9952, 563, 32381, 540, 799, 6280, 540, 2219, 519, 5467, 1223, 581, 1644, 609, 267, 621, 568, 1898, 547, 2259, 2604, 5351, 2238, 585, 3214, 693, 606, 2038, 2085, 269, 1452, 2604, 8323, 13467, 585, 2370, 3283, 786, 1489, 519, 1762, 2370, 835, 547, 11883, 609, 1022, 2566, 602, 789, 616, 693, 1459, 25884, 543, 786, 1020, 1390, 6208, 538, 2324, 609, 2566, 538, 19952, 6197, 269, 589, 1297, 540, 4160, 8323, 13467, 585, 1453, 1331, 519, 9525, 538, 12348, 267, 2324, 2509, 9066, 543, 22196, 3527, 6619, 540, 21557, 563, 272, 2241, 855, 14984, 8082, 17212, 1324, 2534, 568, 998, 519, 946, 540, 513, 1719, 269, 7435, 16237, 28517, 568, 602, 2962, 602, 568, 13736, 610, 6913, 538, 799, 972, 616, 1100, 9027, 725, 269, 898, 568, 3274, 513, 2250, 830, 602, 568, 6192, 585, 519, 22406, 18399, 540, 519, 27423, 563, 288, 1719, 666, 581, 519, 9525, 538, 513, 7328, 267, 1646, 540, 513, 4739, 267, 22386, 267, 11777, 10655, 267, 543, 865, 593, 269, 6201, 666, 1331, 519, 2921, 851, 538, 540, 21802, 267, 6367, 1782, 610, 2921, 851, 538, 2571, 4252, 267, 2324, 538, 519, 3574, 3333, 641, 2679, 513, 535, 25717, 15335, 267, 543, 865, 8521, 269, 4495, 1586, 267, 519, 3804, 540, 3478, 909, 513, 6612, 607, 513, 2604, 5351, 2962, 585, 1453, 568, 547, 3761, 513, 4129, 542, 543, 711, 606, 3606, 2534, 602, 7569, 519, 1880, 1268, 547, 14133, 610, 581, 519, 6574, 563, 5194, 24077, 8082, 8323, 2962, 585, 19920, 568, 998, 519, 946, 540, 9066, 269, 25990, 568, 3274, 513, 942, 1305, 268, 777, 691, 538, 519, 1576, 540, 519, 1062, 540, 519, 2324, 1554, 547, 10131, 519, 2212, 689, 519, 10514, 8973, 5784, 540, 519, 1554, 269, 901, 568, 10416, 25189, 676, 23622, 593, 835, 779, 7929, 543, 16089, 519, 4555, 602, 1131, 20089, 547, 4283, 519, 2247, 563, 9827, 267, 1776, 1935, 547, 4217, 5351, 9066, 543, 2866, 4160, 8323, 2238, 585, 1453, 568, 676, 1259, 540, 519, 13047, 1436, 540, 513, 16051, 571, 269, 589, 16051, 571, 568, 3274, 513, 2262, 610, 2179, 540, 2453, 602 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 275, 269, 17692, 815, 476, 272, 269, 3192, 454, 303, 26237, 268, 6860, 3115, 8793, 4307, 1108, 540, 519, 524, 518, 2784, 334, 2030, 2146, 538, 2506, 553, 2817, 5244, 630, 25218, 8478, 994, 289, 7614, 3873, 10790, 267, 6742, 1231, 21598, 20330, 288, 26894, 4750, 540, 15636, 1415, 476, 7367, 281, 476, 14983, 268, 14065, 267, 476, 1220, 275, 269, 17692, 815, 476, 271, 269, 8660, 274, 454, 303, 25838, 268, 6860, 7579, 2065, 267, 4908, 543, 10664, 1272, 27322, 26034, 540, 513, 524, 518, 2784, 334, 3135, 454, 289, 7614, 3873, 10790, 267, 6742, 1231, 21598, 20330, 24154, 7588, 1014, 4750, 540, 10334, 476, 5038, 281, 476, 10711, 268, 20385, 267, 476, 1220, 275, 563, 303, 28192, 268, 6860, 661, 1598, 583, 3120, 798, 524, 518, 2784, 14244, 552, 13005, 1098, 328, 23843, 1303, 516, 524, 518, 2784, 14244, 552, 1166, 648, 560, 320, 5493, 644, 6403, 3712, 320, 1003, 23650, 334, 13005, 4139, 7433, 798, 5696, 553, 559, 700, 339, 6767, 1421, 900, 7935, 339, 553, 267, 9501, 454, 294, 2345, 645, 313, 267, 6742, 1231, 21598, 20330, 3725, 341, 16695, 1490, 553, 850, 4275, 632, 15636, 5889, 333, 3821, 476, 2767, 281, 476, 27149, 268, 26783, 267, 476, 1220, 275, 563, 4777, 2382, 527, 19513, 632, 4437, 860, 807, 454, 263, 866, 264, 476, 274, 4281, 279, 8287, 6812, 1315, 476, 274, 4281, 279, 8287, 8618, 0, 268, 1323, 4082, 540, 1121, 16017, 585, 2348, 3361, 8373, 610, 1055, 775, 563, 268, 589, 8878, 610, 24134, 540, 835, 781, 3527, 610, 4978, 563, 5804, 519, 19967, 2262, 834, 777, 860, 807, 257, 2495, 834, 320, 8878, 8487, 268, 1261, 6035, 606, 3284, 1108, 585, 1010, 2623, 563, 268, 2701, 1500, 606, 3284, 1108, 585, 1373, 3735, 563, 268, 634, 2754, 9783, 606, 3284, 1108, 585, 519, 12161, 563, 268, 1261, 1500, 606, 3284, 1108, 585, 1010, 12161, 563, 268, 2701, 5206, 606, 3284, 1108, 4484, 547, 1200, 3659, 563, 5278, 4351, 1913, 281, 21324, 267, 5679, 662, 11856, 267, 29840, 0, 1911, 628, 4303, 540, 3427, 6096, 543, 11242, 3143, 16721, 454, 763, 9115, 540, 713, 17142, 666, 581, 1031, 538, 519, 4928, 609, 519, 2898, 1362, 267, 538, 7740, 610, 609, 1507, 2516, 267, 607, 2038, 1710, 8718, 960, 267, 610, 607, 6780, 563, 763, 3211, 543, 2238, 3769, 538, 713, 1305, 912, 272, 269, 16974, 2985, 630, 4754, 581, 1031, 607, 513, 3382, 2985, 994, 273, 269, 5675, 12987, 454, 1700, 2201, 519, 476, 1911, 628, 1554, 540, 1153, 267, 594, 1745, 454, 1700, 769, 519, 1101, 476, 1911, 2395, 540, 1153, 267, 594, 723, 4121, 547, 630, 24742, 17320, 20071, 4528, 994, 1700, 1403, 594, 1185, 476, 1911, 667, 3326, 1513, 267, 594, 1131, 454, 1700, 1879, 594, 993, 476, 1911, 1296, 2025, 267, 594, 786, 454, 1700, 594, 6999, 594, 1185, 476, 1911, 269, 594, 1131, 454, 274, 269, 7089, 631, 10270, 454, 275, 269, 25478, 689, 476, 272, 547, 476, 1911, 454, 276, 269, 31932, 2338, 476, 272, 547, 476, 1911, 454, 277, 269, 1975, 514, 547, 476, 1015, 454, 278, 269, 4032, 543, 2328, 875, 1082, 454, 279, 269, 4787, 760, 10203, 676, 476, 1015, 338, 547, 476, 1911, 2759, 543, 13594, 454, 280, 269, 6613, 1968, 543, 2262, 6474, 2759, 543, 13594, 454, 1015, 269, 769, 476, 1911, 7643, 267, 594, 666, 7498, 1556, 269, 594, 1131, 899, 476, 1911, 2507, 855, 711, 476, 1911, 2507, 630, 6748, 519, 476, 276, 12823, 994, 1321, 269, 7089, 476, 1911, 543, 546, 629, 621, 563, 1724, 269, 25569, 15391, 454, 1691, 269, 7822, 676, 8943, 610, 7089, 454, 1428, 269, 476, 1911, 4303, 5220, 454, 1626, 269, 2659, 2012, 538, 476, 1911, 4216, 454, 1704, 269, 2659, 7089, 476, 272, 268, 1911, 454, 1240, 269, 476, 1911, 3268, 689, 707, 4928, 454, 866, 269, 8571, 1250, 476, 1911, 4458, 6040, 8666, 454, 736, 269, 667, 823, 267, 24305, 267, 543, 570, 958, 563, 1607, 568, 513, 7824, 3561, 543, 3568, 476, 2190, 3817, 269, 0, 1607, 2376, 26564, 835, 540, 519, 1034, 1031, 12214, 6724, 585, 4835, 2000, 1933, 5464, 538, 13558, 281, 519, 2295, 2557, 630, 16281, 1916, 2026, 649, 917, 267, 13558, 568, 606, 26740, 7328, 6353, 676, 20367, 6051, 5712, 609, 20659, 610, 26103, 4351, 3742, 268, 31260, 630, 3722, 264, 630, 272, 1040, 7756, 3527, 899, 24515, 267, 5787, 725, 267, 26357, 610, 2242, 540, 8846, 267, 1851, 1866, 267, 949, 581, 1500, 593, 891, 8028, 338, 267, 799, 616, 14931, 676, 32534, 32471, 748, 3590, 630, 23177, 264, 547, 1683, 3742, 6114, 540, 25091, 2470, 269, 1717, 267, 7850, 2157, 540, 8934, 2096, 20627, 2534, 538, 6051, 5712, 568, 3730, 547, 9156, 1063, 31254, 536, 8083, 610, 8028, 338, 269, 4935, 267, 1082, 4589, 9959, 602, 15679, 5464, 568, 606, 7850, 1505, 547, 2708, 519, 2168, 4390, 610, 519, 9854, 630, 273, 1700, 279, 264, 543, 6087, 606, 9940, 16759, 540, 519, 20659, 1942, 267, 855, 1100, 519, 26103, 630, 280, 1916, 1103, 2487, 1296, 3592, 782, 2090, 723, 21845, 543, 16913, 519, 15679, 1759, 593, 519, 5021, 15679, 630, 16281, 10946, 264, 547, 5581, 519, 12214, 12632, 540, 13558, 5716, 269, 1717, 267, 519, 946, 540, 519, 15395, 15679, 6871, 630, 260, 16281, 637, 264, 2488, 811, 4977, 2164, 630, 1015, 1040, 634, 4542, 729, 3964, 676, 10127, 341, 517, 523, 1696, 620, 269, 630, 1556, 2187, 260, 16281, 637, 815, 27883, 16281, 11743, 2534, 1107, 15679, 6135, 264, 1315, 630, 16281, 10946, 1107, 15679, 6135, 264, 1535, 476, 1911, 2639, 18814, 547, 519, 9819, 540, 4939, 16281, 637, 3217, 883, 2272, 519, 536, 1640, 20263, 7648, 543, 18867, 2636, 547, 5635, 519, 5716, 15679, 593, 1114, 2238, 610, 2866, 7886, 563, 16281, 538, 6735, 454, 5475, 606, 3573, 2689, 540, 519, 3332, 267, 594, 6394, 519, 1292, 15679, 2418, 912, 268, 15679, 1611, 281, 476, 13679, 547, 476, 11260, 28327, 630, 1015, 1916, 268, 2271, 3748, 2039, 540, 15679, 281, 476, 3199, 268, 3445, 260, 15679, 10946, 630, 1321, 267, 1724, 1916, 268, 476, 4391, 260, 540, 6474, 2698, 942, 281, 9832, 540, 476, 3583, 268, 3199, 260, 543, 476, 3199, 268, 3445, 260, 15679, 10946, 630, 1691, 1916, 763, 1382, 1281, 711, 1397, 3604, 593, 891, 2418, 1851, 6688, 610, 2157, 269, 1717, 267, 519, 2085, 267, 3023, 543, 2168, 4390, 540, 5716, 1058, 581, 1644, 609, 519, 15679, 607, 621, 949, 581, 1397, 1114, 6051, 942, 1063, 1164, 27233, 3646, 269, 1280, 3236, 267, 519, 4939, 16281, 10946, 540, 5716, 949, 581, 2362, 952, 789, 723, 513, 1970, 2168, 1377, 563, 2005, 568, 1271, 547, 20272, 543, 4612, 519, 15679, 540, 5716, 685, 593, 519, 1114, 6474, 30556, 607, 519, 8515, 630, 10339, 5962, 607, 4939, 16281, 10946, 264, 568, 2539, 538, 519, 2034, 3368, 982, 519, 1101, 1813, 547, 519, 19017, 9854, 1282, 519, 6474, 630, 1691, 1040, 634, 2278, 1336, 602, 519, 5716, 616, 1447, 942, 593, 9832, 540, 476, 5952, 268, 3445, 260, 15679, 10946, 543, 811, 942, 593, 2539, 8515, 9832, 630, 4037, 268, 5952, 260, 15679, 10946, 264, 593, 519, 2034, 3368, 269, 769, 1840, 267, 5716, 723, 1114, 1611, 15679, 2687, 547, 519, 2990, 267, 4730, 2511, 610, 1367, 4162, 630, 1428, 1040, 4475, 267, 1896, 4589, 9959, 602, 519, 15679, 10946, 568, 711, 519, 1655, 9936, 547, 6218, 519, 13558, 268, 13808, 8515, 607, 621, 711, 15109, 519, 1114, 15679, 6114, 630, 1015, 1040, 4014, 1079, 5716, 12492, 519, 1482, 15679, 10946, 267, 789, 949, 1397, 1114, 15679, 6135, 267, 799, 621, 786, 29360, 1114, 6114, 538, 519, 6474, 563, 16281, 2079, 676, 4730, 2990, 454, 300, 573, 7615, 619, 2356, 1397, 519, 5207, 15679, 2418, 543, 3844, 9718, 619, 519, 9803, 607, 513, 1267, 540, 519, 28365, 1599, 540, 1142, 2990, 538, 519, 2413, 3014, 630, 1015, 1040, 3245, 513, 2930, 2389, 716, 673, 1935, 267, 4571, 7615, 619, 616, 3238, 538, 1312, 18086, 543, 17872, 3527, 543, 4061, 991, 3152, 20659, 4390, 547, 16641, 519, 604, 6024, 7589, 538, 519, 3014, 630, 1724, 1040, 16480, 267, 607, 5018, 1657, 519, 4730, 2511, 2919, 676, 519, 2319, 610, 519, 1367, 4162, 786, 1860, 519, 5716, 685, 15679, 6114, 563, 16655, 2711, 5135, 4616, 630, 309, 302, 273, 10946, 994, 763, 15679, 2418, 616, 5702, 1644, 609, 519, 966, 302, 273, 10946, 269, 634, 1611, 8515, 540, 3318, 13558, 6345, 568, 1851, 476, 3583, 268, 3199, 260, 966, 302, 273, 10946, 1282, 519, 6474, 630, 1724, 1040, 1924, 267, 519, 966, 302, 273, 10946, 540, 1283, 7400, 13558, 5716, 568, 476, 7367, 268, 6924, 16720, 5788, 4846, 268, 272, 5788, 1295, 268, 272, 630, 1626, 1916, 4913, 267, 649, 723, 547, 1491, 883, 2272, 602, 519, 1826, 540, 6051, 630, 5562, 610, 12809, 264, 543, 4674, 1282, 513, 2110, 1673, 4851, 26740, 2534, 899, 13558, 786, 12189, 519, 15679, 3210, 269, 4014, 519, 5787, 725, 267, 632, 5120, 725, 610, 2910, 17762, 7494, 1860, 519, 15679, 267, 1010, 2079, 1281, 711, 2992, 519, 26103, 10307, 2242, 630, 1015, 1040, 4033, 2188, 607, 17441, 2534, 267, 1604, 2175, 610, 4730, 2627, 949, 849, 7369, 519, 15679, 4806, 543, 1100, 1860, 519, 966, 302, 273, 10946, 8449, 563, 29587, 15580, 7352, 1464, 630, 16281, 309, 994, 763, 2956, 540, 30228, 15679, 309, 538, 606, 26740, 7328, 971, 607, 13558, 814, 2799, 538, 2487, 1296, 585, 513, 15052, 6268, 540, 6051, 15679, 609, 1114, 2010, 540, 15128, 269, 4475, 267, 15679, 309, 949, 581, 1360, 3730, 585, 16326, 936, 10177, 1456, 2589, 630, 273, 1700, 275, 267, 277, 1916, 268, 15679, 568, 606, 7850, 5464, 9936, 547, 6895, 519, 4835, 4452, 538, 13558, 5716, 630, 18034, 519, 15679, 637, 1040, 1717, 267, 621, 666, 581, 25619, 547, 22945, 519, 2866, 4452, 563, 268, 15679, 11743, 281, 476, 13679, 268, 11260, 28327, 563, 268, 15679, 9832, 538, 6735, 281, 476, 3583, 268, 3199, 260, 543, 476, 3199, 268, 3445, 260, 15679, 10946, 563, 268, 966, 302, 273, 10946, 281, 476, 7367, 268, 6924, 16720, 5788, 4846, 268, 272, 5788, 1295, 268, 272, 630, 3583, 268, 3199, 260, 1916, 268, 15679, 1590, 581, 14648, 14350, 676, 6345, 563, 268, 15679, 1590, 581, 21845, 14384, 538, 519, 1114, 30556, 540, 6474, 630, 325, 520, 8982, 1916, 23114, 7664, 543, 4052, 3156, 454, 268, 15679, 568, 3730, 547, 3715, 25191, 8100, 268, 11161, 540, 28491, 637, 21732, 4390, 540, 1142, 6345, 585, 6616, 952, 789, 616, 9308, 5423, 547, 16641, 519, 6735, 7569, 269, 769, 1840, 267, 4470, 593, 519, 2418, 5833, 267, 25191, 2866, 7886, 630, 18528, 5166, 7007, 689, 1895, 1606, 32268, 264, 1522, 581, 1500, 952, 616, 2556, 585, 5716, 563, 268, 15679, 568, 10691, 3730, 547, 22945, 519, 2866, 4452, 538, 799, 782, 2186, 540, 3527, 543, 3646, 1491, 1747, 281, 16204, 6493, 267, 2910, 17762, 267, 26357, 267, 21611, 267, 24515, 267, 6693, 268, 24269, 519, 15679, 568, 1031, 607, 513, 9936, 621, 786, 581, 585, 519, 2773, 540, 930, 1808, 4255, 1510, 3440, 543, 5924, 10442, 519, 28491, 637, 21732, 4390, 540, 5716, 630, 324, 3052, 1421, 3715, 519, 26103, 12939, 1916, 268, 24497, 2946, 717, 267, 10783, 7806, 808, 14114, 269, 9839, 2557, 13260, 538, 519, 7555, 2990, 9356, 2866, 9542, 538, 3318, 13558, 5716, 269, 20195, 808, 10331, 4284, 2723, 269, 476, 1001, 277, 282, 476, 14138, 263, 279, 2567, 476, 14991, 276, 1700, 11025, 563, 268, 1160, 2884, 16210, 681, 267, 1019, 674, 1258, 810, 590, 267, 12359, 553, 6673, 267, 645, 677, 10008, 700, 267, 7605, 1794, 5633, 595, 267, 28529, 1470, 962, 301, 267, 1696, 620, 269, 9839, 2557, 13260, 5806, 7149, 8013, 2157, 538, 3318, 13558, 5716, 269, 808, 4222, 9473, 1763, 269, 476, 1001, 278, 282, 476, 4029, 263, 277, 2567, 476, 14378, 280, 1700, 1839, 563, 268, 25376, 961, 6242, 21096, 267, 2806, 516, 340, 700, 267, 26981, 600, 3120, 674, 312, 267, 16334, 10722, 9926, 966, 292, 267, 12358, 6403, 978, 22222, 661, 267, 2274, 32218, 6789, 269, 9315, 13519, 8238, 5669, 14624, 538, 16918, 5053, 13558, 5716, 1282, 840, 572, 1783, 269, 2271, 808, 11846, 4284, 2723, 9524, 269, 476, 1001, 274, 282, 476, 279, 263, 275, 2567, 476, 6110, 1700, 280, 563, 268, 715, 15546, 14765, 808, 267, 1546, 3288, 30434, 645, 267, 7203, 629, 807, 661, 267, 1546, 670, 1195, 334, 631, 267, 667, 4040, 22222, 4211, 984, 334, 590, 269, 5565 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 834, 25582, 569, 14190, 766, 257, 547, 946, 585, 18656, 3101, 610, 2027, 14026, 563, 296, 1589, 596, 616, 1250, 1007, 5172, 1268, 269, 594, 6557, 538, 1250, 1101, 3018, 540, 2324, 856, 543, 723, 1336, 707, 3135, 5442, 309, 3201, 308, 21764, 256, 8729, 256, 654, 1180, 1359, 827, 28491, 267, 1498, 269, 594, 6557, 3257, 519, 476, 274, 1554, 8237, 1318, 1631, 267, 543, 1616, 547, 798, 607, 1454, 28491, 607, 2009, 630, 277, 2395, 264, 855, 993, 2348, 8373, 2324, 621, 782, 883, 1250, 8430, 269, 4746, 267, 594, 1810, 1406, 1616, 547, 6633, 8885, 856, 693, 519, 15547, 269, 14313, 888, 763, 11759, 4643, 568, 1759, 593, 519, 2257, 540, 1648, 5860, 269, 6052, 5860, 4016, 547, 519, 2179, 540, 8477, 538, 513, 2016, 2597, 540, 1426, 269, 16639, 602, 616, 2808, 1970, 1648, 10053, 3536, 723, 513, 1507, 2179, 540, 8477, 585, 513, 1804, 4320, 540, 1426, 630, 1721, 1383, 267, 10448, 27130, 267, 5388, 267, 543, 4829, 1040, 4400, 1648, 10053, 3536, 1683, 513, 2603, 540, 8477, 585, 513, 1507, 2179, 540, 1426, 630, 1721, 1383, 267, 11041, 267, 7423, 267, 8645, 14036, 1040, 634, 11759, 4643, 2488, 513, 834, 29446, 2732, 676, 1298, 1359, 593, 513, 1592, 540, 2635, 3536, 602, 1832, 596, 2407, 3476, 4799, 20756, 922, 803, 1586, 282, 708, 29279, 547, 2712, 3135, 256, 1411, 1118, 3388, 2312, 1299, 579, 723, 865, 1454, 585, 721, 547, 1224, 256, 630, 296, 1205, 521, 573, 25523, 22486, 1299, 4503, 561, 565, 1040, 1924, 726, 338, 948, 803, 713, 1259, 269, 1955, 11207, 538, 2648, 609, 519, 968, 324, 520, 8726, 596, 1616, 1175, 1447, 540, 621, 892, 1505, 269, 3733, 2703, 10416, 5143, 803, 519, 1482, 3364, 607, 513, 1126, 269, 968, 21156, 540, 513, 2462, 627, 32111, 267, 3548, 513, 627, 32111, 795, 337, 1848, 594, 4076, 2907, 2759, 1524, 593, 1250, 31185, 282, 1775, 1152, 1185, 476, 1626, 12063, 19108, 256, 962, 599, 256, 1809, 1631, 708, 12758, 269, 5457, 286, 1955, 513, 2370, 1268, 269, 630, 3066, 586, 3464, 2025, 267, 476, 275, 685, 275, 16357, 1040, 1924, 5622, 334, 689, 1776, 2707, 593, 519, 1641, 630, 261, 1455, 2631, 264, 1775, 1058, 581, 4189, 670, 3201, 293, 540, 1018, 1285, 326, 4463, 533, 680, 3548, 267, 1318, 286, 6145, 952, 741, 338, 568, 476, 1220, 271, 267, 9553, 1058, 581, 476, 1911, 271, 267, 1318, 286, 1656, 1287, 593, 1283, 540, 602, 267, 513, 1608, 1219, 267, 865, 5622, 476, 280, 3199, 11631, 16740, 330, 269, 1955, 711, 4758, 909, 1250, 10543, 15211, 610, 824, 5751, 630, 6518, 1775, 4076, 1175, 3769, 14987, 7796, 919, 4700, 630, 2171, 2461, 2911, 514, 708, 4358, 689, 519, 2666, 909, 269, 1547, 1547, 3245, 519, 2666, 14084, 19904, 16365, 909, 561, 565, 1916, 3963, 1281, 670, 2862, 307, 2866, 960, 1732, 982, 6671, 28491, 585, 3170, 2530, 286, 1879, 596, 798, 28491, 693, 519, 1482, 10605, 267, 707, 1560, 4188, 338, 3294, 547, 519, 24913, 543, 13290, 547, 18359, 8477, 269, 630, 5475, 782, 267, 707, 1560, 3085, 1405, 917, 875, 1279, 610, 2182, 596, 1544, 547, 960, 856, 4700, 3955, 1998, 2866, 4229, 707, 1560, 547, 6633, 811, 8477, 4534, 543, 7148, 883, 3170, 8637, 4534, 1317, 621, 814, 1100, 3903, 269, 3163, 3081, 865, 281, 2290, 1353, 693, 700, 10052, 2160, 1336, 1004, 945, 5340, 670, 2862, 307, 28491, 4503, 8370, 2053, 811, 3170, 982, 1004, 945, 5340, 9793, 28491, 693, 513, 5812, 3432, 563, 1103, 713, 1353, 267, 4189, 811, 3940, 5280, 14968, 2367, 8190, 811, 10709, 2527, 950, 789, 4503, 2597, 269, 634, 2367, 941, 2322, 593, 513, 2732, 602, 5795, 873, 2901, 476, 1428, 260, 610, 476, 1839, 260, 540, 1648, 689, 3940, 269, 1809, 1934, 779, 513, 5458, 3017, 602, 596, 4465, 1406, 1294, 538, 519, 7493, 281, 519, 1970, 3491, 12888, 1895, 729, 20757, 282, 519, 1164, 3491, 12888, 1895, 3893, 5779, 269, 630, 763, 1353, 4589, 2760, 2491, 1946, 593, 3618, 789, 1131, 798, 621, 899, 602, 1916, 32247, 2566, 949, 2333, 2157, 540, 2566, 10399, 971, 607, 23280, 538, 707, 1560, 269, 901, 666, 2014, 2799, 14000, 543, 1267, 538, 2597, 2744, 269, 1403, 596, 2461, 3168, 547, 6336, 2597, 267, 596, 1058, 2689, 2009, 2081, 547, 6175, 610, 1732, 6023, 7050, 2566, 538, 707, 1272, 269, 4014, 713, 1419, 7569, 8101, 2242, 267, 1256, 19249, 1507, 1919, 1107, 971, 607, 14302, 1107, 949, 5612, 1860, 707, 2566, 9449, 2157, 267, 543, 5310, 707, 2597, 563, 2108, 2690, 930, 1004, 267, 621, 779, 6616, 267, 2048, 23777, 1227, 594, 3548, 513, 2898, 26889, 16224, 892, 3081, 717, 698, 2993, 31651, 269, 968, 8072, 3086, 267, 594, 6557, 2469, 547, 1118, 519, 3375, 547, 3548, 3368, 513, 26889, 693, 12899, 543, 4688, 519, 824, 3368, 585, 1250, 12129, 543, 9247, 2759, 1250, 8477, 538, 3368, 269, 1656, 789, 1745, 1434, 827, 602, 269, 1358, 2461, 711, 2348, 547, 798, 2979, 1848, 1677, 1205, 3323, 267, 2638, 856, 891, 476, 1839, 2241, 2081, 547, 2759, 476, 4335, 8477, 513, 1554, 563, 2005, 781, 1044, 513, 1032, 2094, 1250, 9393, 18374, 28520, 803, 2476, 899, 717, 2752, 289, 17803, 585, 1373, 1932, 3170, 543, 29832, 755, 532, 267, 607, 646, 1572, 803, 269, 4517, 602, 779, 950, 594, 4956, 594, 8910, 1185, 2614, 2507, 3143, 2339, 1018, 621, 3576, 594, 729, 2469, 547, 1413, 1390, 256, 634, 1101, 3364, 594, 4941, 547, 798, 729, 547, 1205, 7759, 540, 1591, 592, 924, 269, 2991, 1454, 4693, 543, 5470, 267, 594, 6368, 1336, 513, 1982, 602, 6026, 803, 519, 2953, 1560, 5322, 547, 12954, 782, 476, 3445, 6091, 540, 1250, 2539, 1560, 543, 519, 1318, 1259, 547, 11126, 1250, 10399, 998, 8770, 3666, 269, 634, 1439, 1267, 568, 27314, 269, 8426, 592, 924, 568, 8854, 7868, 6109, 1145, 543, 9395, 1145, 540, 1250, 1560, 568, 1945, 594, 4312, 2760, 5433, 1354, 15660, 1745, 10583, 540, 8885, 269, 1656, 865, 666, 596, 1862, 16731, 2652, 285, 5291, 2517, 4226, 269, 569, 270, 3250, 592, 924, 325, 2240, 578, 454, 763, 1034, 2487, 4528, 540, 519, 2311, 9469, 2732, 568, 676, 2484, 519, 1034, 6484, 958, 7059, 269, 1280, 519, 1101, 942, 267, 519, 2311, 9469, 2732, 814, 5116, 606, 8561, 593, 519, 5686, 540, 3170, 1373, 10057, 3079, 540, 3850, 782, 8192, 9600, 269, 634, 1395, 10494, 18260, 543, 4874, 12584, 18260, 9600, 616, 1631, 15091, 936, 15459, 543, 1098, 9600, 269, 634, 2732, 814, 849, 4957, 547, 1450, 834, 16591, 19719, 257, 3079, 540, 16094, 28142, 782, 11950, 269, 1452, 3536, 1683, 6775, 267, 8324, 267, 543, 6886, 602, 941, 2899, 15877, 538, 713, 2732, 269, 634, 1164, 2179, 540, 3940, 786, 581, 6225, 538, 5329, 596, 2407, 269, 3194, 568, 2312, 602, 3940, 814, 513, 2318, 1764, 593, 2810, 2893, 328, 1214, 267, 799, 1797, 602, 596, 786, 1745, 2407, 1063, 6980, 563, 257, 2691, 2469, 856, 585, 3728, 1426, 267, 594, 1031, 547, 1205, 519, 1804, 20695, 1871, 7594, 269, 3767, 267, 594, 14183, 513, 6159, 1324, 676, 19280, 1175, 835, 6221, 281, 513, 1507, 1931, 540, 535, 1845, 610, 513, 3670, 1790, 19991, 4216, 540, 9269, 8356, 1375, 1115, 269, 1924, 2484, 267, 594, 4312, 695, 8491, 1055, 476, 1626, 6550, 538, 5722, 4374, 267, 543, 594, 6415, 593, 3950, 547, 1373, 25182, 982, 1250, 1164, 1153, 1582, 585, 1250, 476, 1015, 4458, 22653, 542, 2663, 713, 1032, 1701, 2443, 300, 4275, 24229, 808, 19128, 961, 267, 27257, 267, 9338, 454, 293, 9200, 11226, 12536, 267, 11151, 19228, 267, 543, 24506, 8501, 4534, 543, 666, 948, 609, 2597, 2530, 269, 4107, 4892, 1205, 1152, 3368, 519, 6775, 789, 991, 269, 1677, 28231, 6775, 781, 2640, 267, 1034, 2021, 1058, 1205, 827, 476, 1839, 10101, 3232, 267, 1247, 2367, 991, 827, 476, 4343, 10101, 4534, 610, 476, 1691, 10101, 829, 476, 272, 267, 1822, 8477, 269, 6153, 6775, 2959, 1331, 27046, 22596, 267, 10365, 267, 2898, 10286, 3536, 267, 10808, 267, 543, 1034, 5613, 543, 5388, 563, 2252, 596, 1810, 1406, 723, 606, 3964, 3635, 6296, 267, 3274, 6972, 568, 519, 1655, 1101, 1900, 4724, 2597, 2530, 269, 968, 310, 22736, 568, 513, 7168, 1434, 7127, 1448, 585, 1004, 2223, 3081, 717, 698, 2993, 31651, 269, 901, 568, 3226, 3020, 952, 596, 723, 1044, 856, 540, 519, 15547, 585, 513, 1247, 543, 1616, 547, 8897, 1394, 883, 513, 15904, 6296, 269, 2290, 1507, 1353, 3370, 538, 634, 4750, 540, 11644, 12594, 1299, 4437, 17190, 1336, 602, 17324, 2021, 945, 1705, 513, 6972, 1982, 585, 476, 2004, 547, 476, 3583, 3764, 1614, 2395, 829, 3018, 585, 476, 1321, 4374, 3648, 1793, 14414, 741, 1471, 30844, 3170, 3379, 547, 513, 25161, 1852, 1895, 269, 0, 17556, 601, 575, 2273, 619, 281, 476, 272, 270, 275, 519, 1166, 1052, 8700, 21561, 3382, 936, 13063, 543, 4188, 28973, 11098, 952, 2838, 585, 2825, 2175, 269, 1547, 1546, 1188, 6215, 629, 5071, 30352, 5071, 20509, 338, 19072, 558, 757, 20509, 27418, 631, 9823, 281, 28850, 1813, 547, 16064, 1582, 2597, 631, 667, 310, 281, 28850, 1813, 547, 476, 31134, 4586, 4306, 292, 5085, 667, 4488, 298, 5254, 292, 5085, 674, 29368, 8991, 256, 630, 12812, 1934, 585, 513, 7792, 4528, 540, 713, 2376, 264, 634, 1034, 1455, 6405, 6989, 1826, 568, 519, 2666, 23418, 9285, 28973, 267, 849, 1634, 607, 28973, 593, 2666, 610, 28973, 593, 3446, 269, 4586, 763, 6024, 28973, 568, 2966, 607, 513, 3126, 540, 3274, 268, 6462, 21269, 267, 585, 16134, 269, 634, 2500, 12732, 666, 581, 3144, 607, 519, 14758, 540, 519, 1079, 1739, 281, 20028, 1063, 18013, 540, 7028, 634, 2312, 12732, 7132, 519, 2500, 3178, 540, 519, 28973, 1403, 267, 1527, 6150, 16064, 4586, 257, 291, 4488, 16775, 25278, 257, 26905, 20793, 5723, 10396, 631, 4953, 3201, 667, 4488, 298, 589, 2793, 14877, 306, 3041, 1315, 23370, 22218, 5358, 13517, 281, 834, 291, 4488, 16775, 25278, 257, 568, 513, 22369, 1982, 2854, 538, 9049, 268, 2750, 4897, 585, 519, 3483, 540, 2079, 543, 1374, 540, 1793, 11274, 593, 4496, 16064, 269, 5637, 12432, 16064, 1793, 11274, 543, 1106, 16064, 1793, 11274, 4586, 17637, 540, 13082, 1546, 1188, 4144, 24530, 916, 910, 30991, 281, 476, 275, 281, 6812, 269, 27699, 294, 10112, 1539, 919, 476, 1015, 267, 6872, 274, 5784, 476, 275, 281, 6812, 1290, 293, 3271, 910, 1290, 22683, 13082, 4469, 3233, 1546, 4242, 1547, 1215, 547, 32449, 513, 22493, 6215, 629, 585, 30488, 18789, 910, 30991, 281, 476, 277, 281, 7367, 269, 13095, 749, 13159, 22493, 476, 272, 267, 278, 6246, 267, 3607, 278, 5784, 476, 277, 281, 7367, 1215, 547, 798, 513, 4586, 26046, 543, 1374, 540, 5374, 11546, 1188, 3146, 514, 1721, 1027, 6405, 26202, 916, 676, 5261, 15656, 14914, 1782, 589, 19837, 10488, 4427, 4784, 547, 519, 23958, 20513, 538, 3487, 658, 674, 5285, 650, 618, 540, 519, 21976, 585, 519, 23422, 540, 11298, 6311, 3036, 5508, 11682, 6579, 5308, 8008, 14176, 4972, 281, 6406, 543, 4586, 6637, 476, 1015, 22493, 1546, 4242, 476, 1015, 25829, 32516, 476, 1015, 12164, 290, 3918, 15288, 667, 4488, 16775, 570, 21764, 5508, 28132, 19006, 476, 1015, 269, 272, 21850, 29767, 3267, 476, 1015, 268, 272, 1547, 16064, 28973, 269, 4856, 12509, 540, 519, 17923, 5374, 1058, 581, 513, 2101, 6161, 950, 8888, 513, 8115, 16064, 538, 606, 3665, 1604, 1412, 815, 4586, 788, 20293, 18396, 730, 17923, 5374, 729, 3379, 547, 16064, 28973, 15013, 1141, 6103, 476, 2568, 568, 8719, 609, 10911, 305, 13063, 269, 1547, 31031, 308, 6311, 7838, 3201, 23370, 22218, 30316, 2839, 5085, 2562, 2464, 11123, 12164, 290, 3918, 15288, 19836, 2839, 12283, 667, 4488, 16775, 11555, 2562, 19489, 290, 3633, 23166, 2910, 305, 4629, 31064, 7304, 2464, 8780, 19611, 11555, 2562, 19489, 290, 5058, 552, 4586, 763, 1434, 2259, 4808, 799, 616, 4867, 15469, 676, 519, 5374, 16064, 9755, 1547, 2328, 1290, 22683, 22493, 1793, 11274, 593, 5374, 632, 9535, 269, 30334, 593, 4070, 543, 2404, 1374, 9270, 269, 901, 23988, 1281, 711, 5372, 590, 5746, 623, 4968, 269, 1306, 4586, 763, 476, 279, 16006, 20878, 16064, 11098, 2882, 513, 835, 28451, 10759, 9384, 4716, 11098, 547, 581, 3769, 538, 519, 4666, 4452, 540, 519, 16064, 28973, 855, 31360, 689, 922, 3296, 3601, 4586, 5976, 519, 735, 4809, 4222, 540, 519, 6405, 585, 606, 782, 5180, 6793, 28973, 269, 13082, 632, 9535, 12632, 616, 2966, 547, 2061, 1022, 19976, 17277, 1063, 519, 5374, 543, 6405, 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 ]
[ 1085, 719, 3760, 267, 855, 538, 513, 4130, 3898, 267, 1210, 12514, 543, 8596, 3079, 540, 513, 17199, 547, 3489, 25071, 1344, 269, 1703, 568, 849, 1007, 1719, 538, 10760, 5867, 585, 3540, 543, 16351, 946, 269, 901, 3561, 14592, 519, 1686, 543, 2104, 1761, 540, 519, 10760, 5867, 543, 14247, 10134, 563, 265, 634, 10760, 5867, 8057, 856, 540, 1382, 26634, 676, 519, 2475, 2817, 27545, 9730, 593, 17224, 517, 2246, 923, 630, 2793, 7563, 267, 835, 540, 519, 840, 15479, 832, 547, 519, 2817, 17224, 517, 2246, 923, 1299, 6611, 10029, 610, 8331, 264, 538, 519, 2038, 476, 4198, 271, 338, 593, 519, 23250, 540, 835, 17907, 10760, 5867, 585, 8396, 946, 269, 634, 4255, 3238, 21804, 834, 325, 2391, 257, 512, 9220, 1042, 5867, 267, 693, 1101, 24850, 676, 19316, 2011, 267, 543, 1287, 676, 4232, 832, 563, 763, 2035, 11567, 538, 519, 4255, 941, 1759, 593, 3206, 676, 715, 3722, 288, 11653, 8176, 670, 269, 2098, 20810, 2006, 267, 945, 6069, 602, 952, 519, 4232, 832, 540, 513, 29357, 941, 5116, 593, 519, 5377, 540, 519, 8484, 267, 513, 12681, 1131, 581, 2111, 547, 27464, 621, 1175, 676, 13346, 1010, 610, 1200, 2597, 267, 513, 1523, 2098, 20810, 2006, 1572, 834, 7219, 20469, 1852, 2668, 898, 729, 12479, 602, 10252, 20469, 1852, 1131, 1450, 513, 12681, 547, 8038, 971, 5867, 609, 2370, 2866, 269, 634, 4255, 7152, 519, 2930, 14496, 540, 519, 1523, 269, 634, 715, 3722, 288, 2164, 941, 5950, 547, 519, 1857, 267, 4611, 538, 10760, 3760, 30384, 689, 1614, 3549, 281, 632, 19768, 1676, 267, 645, 27255, 267, 543, 10830, 518, 563, 265, 769, 519, 4571, 268, 4198, 271, 338, 267, 519, 632, 19768, 1676, 2754, 27352, 2919, 513, 23301, 8154, 3957, 519, 834, 291, 295, 268, 275, 4477, 633, 2758, 2580, 2663, 26948, 519, 519, 834, 295, 313, 268, 272, 17224, 7514, 2193, 2580, 602, 6743, 1945, 899, 513, 3444, 1063, 513, 29357, 267, 856, 4580, 5179, 267, 543, 5179, 321, 833, 267, 799, 568, 3927, 1018, 621, 729, 563, 763, 632, 19768, 1676, 3684, 15538, 540, 513, 7406, 602, 6462, 519, 2599, 540, 513, 476, 1789, 737, 310, 630, 2412, 24605, 264, 22358, 856, 4580, 5179, 267, 609, 13941, 10591, 9967, 540, 606, 11460, 540, 2011, 321, 4711, 593, 519, 7475, 540, 838, 1513, 269, 634, 2011, 321, 4711, 941, 2663, 8719, 676, 4496, 1236, 1749, 269, 634, 2599, 22755, 513, 6292, 540, 476, 275, 269, 277, 11281, 630, 1428, 3723, 264, 15333, 268, 8527, 908, 4232, 832, 2047, 9944, 621, 267, 1247, 519, 12681, 11542, 19794, 593, 513, 3760, 1657, 519, 2599, 267, 6870, 689, 9991, 883, 519, 4232, 832, 676, 513, 3106, 10244, 267, 543, 16304, 593, 27576, 6023, 321, 1513, 609, 621, 513, 6335, 3766, 8692, 555, 8527, 1479, 269, 1261, 1031, 10252, 652, 2045, 1852, 547, 8038, 519, 3684, 563, 763, 4477, 633, 2758, 1315, 17224, 7514, 2193, 1101, 24363, 538, 5130, 476, 4198, 276, 267, 543, 519, 8136, 10288, 513, 18797, 269, 1546, 19768, 1676, 10645, 519, 6191, 1223, 8038, 693, 909, 547, 476, 10755, 918, 15771, 630, 4792, 12463, 295, 1070, 4163, 909, 547, 476, 4649, 13532, 630, 6344, 6550, 264, 31139, 16310, 519, 12681, 267, 543, 8038, 585, 606, 5662, 269, 1717, 267, 1247, 519, 3364, 6743, 899, 621, 1131, 723, 1044, 513, 2603, 540, 1187, 547, 8038, 267, 621, 729, 849, 5906, 269, 3502, 1152, 1705, 519, 12681, 1796, 1657, 519, 627, 26325, 4232, 832, 267, 855, 519, 4232, 832, 941, 2647, 543, 2673, 547, 519, 2666, 267, 1818, 873, 513, 9651, 593, 2244, 902, 543, 1491, 26160, 2094, 789, 1223, 3362, 14736, 909, 7725, 543, 824, 11935, 563, 1103, 1840, 267, 4352, 930, 2959, 3409, 602, 519, 4477, 633, 2758, 1315, 17224, 7514, 2193, 729, 2653, 547, 8038, 267, 1866, 1533, 602, 519, 1449, 12681, 29739, 602, 18051, 1182, 1223, 711, 12681, 621, 9108, 269, 2991, 1079, 8184, 10913, 538, 799, 519, 15333, 268, 8527, 908, 4232, 832, 4827, 539, 543, 2458, 3660, 267, 519, 1788, 729, 14460, 1354, 18825, 3893, 12517, 10413, 269, 2311, 2547, 835, 3470, 1161, 607, 513, 9754, 4159, 563, 265, 634, 645, 27255, 834, 289, 268, 1015, 11330, 322, 16239, 257, 729, 1100, 811, 3811, 269, 901, 30299, 2370, 3684, 15538, 540, 513, 4216, 344, 7406, 609, 476, 272, 269, 273, 11281, 630, 275, 3723, 264, 605, 1186, 15841, 19794, 593, 519, 4395, 543, 1394, 540, 519, 7406, 269, 3962, 729, 13324, 676, 922, 1378, 476, 7918, 737, 310, 630, 7761, 24605, 264, 15966, 1638, 5255, 2599, 269, 634, 11330, 322, 16239, 24363, 538, 476, 4198, 280, 543, 15151, 729, 16602, 547, 6023, 269, 769, 1022, 2013, 267, 4986, 3357, 540, 621, 563, 265, 634, 10830, 518, 6272, 941, 1732, 2219, 856, 267, 543, 13631, 513, 1434, 4308, 540, 1857, 3007, 269, 10830, 518, 2919, 741, 1101, 10760, 3760, 593, 519, 4493, 540, 513, 4579, 13752, 538, 3735, 476, 4198, 274, 676, 519, 8433, 540, 25220, 3194, 630, 2177, 305, 264, 585, 513, 835, 17907, 10760, 3760, 269, 634, 3684, 1500, 922, 1101, 8184, 538, 5988, 476, 4198, 276, 267, 543, 729, 3957, 519, 834, 309, 313, 268, 272, 623, 1177, 26234, 8487, 763, 623, 1177, 26234, 12286, 513, 6292, 540, 15333, 268, 8527, 908, 4232, 832, 18343, 3330, 513, 13811, 609, 513, 8006, 540, 476, 272, 269, 276, 7397, 630, 276, 3952, 1040, 3962, 23301, 729, 9141, 676, 922, 1378, 476, 1789, 737, 310, 630, 2412, 24605, 264, 1079, 3613, 6593, 2599, 269, 634, 12681, 11542, 1657, 519, 13811, 267, 11303, 676, 513, 9764, 1688, 571, 559, 543, 6870, 676, 513, 3106, 10244, 269, 1261, 6417, 519, 9817, 609, 513, 6335, 3766, 8692, 555, 8527, 1479, 543, 10709, 539, 547, 3391, 519, 8484, 269, 634, 13811, 4824, 3106, 1282, 1491, 4752, 543, 13941, 269, 634, 13811, 849, 3177, 3606, 12740, 267, 2094, 972, 729, 513, 8880, 834, 28309, 257, 1472, 922, 1283, 6316, 602, 17208, 1524, 883, 519, 13811, 269, 634, 25312, 883, 519, 13811, 8507, 538, 1970, 2011, 2604, 1657, 519, 9067, 267, 543, 519, 2604, 3017, 1063, 519, 1283, 543, 5377, 540, 519, 9067, 6383, 513, 2121, 16057, 3196, 267, 3246, 607, 1454, 607, 476, 2412, 260, 540, 519, 2698, 12740, 540, 519, 8484, 563, 763, 623, 1177, 26234, 17411, 1360, 1134, 538, 8184, 4255, 269, 634, 3684, 729, 1287, 9168, 609, 3476, 13941, 10591, 7953, 547, 2333, 2666, 24999, 267, 543, 5216, 642, 6951, 941, 15841, 18284, 519, 13811, 547, 2087, 8184, 1852, 563, 763, 2475, 8136, 729, 5461, 538, 519, 623, 1177, 26234, 267, 543, 538, 5437, 476, 4198, 277, 13752, 513, 4579, 547, 10830, 518, 585, 519, 4070, 540, 513, 3677, 4528, 267, 799, 5340, 922, 1101, 8184, 538, 476, 4198, 279, 269, 898, 1185, 1614, 476, 1789, 737, 310, 630, 2412, 24605, 264, 9817, 267, 6117, 4232, 832, 538, 513, 476, 273, 269, 275, 11281, 630, 279, 3723, 264, 8006, 13811, 269, 901, 811, 982, 23060, 519, 23301, 12210, 1858, 267, 2810, 31139, 543, 2039, 1247, 4227, 6846, 543, 1524, 31683, 563, 763, 8136, 10288, 513, 3791, 623, 1177, 26234, 609, 513, 2620, 14941, 6438, 13811, 602, 4824, 12740, 2773, 543, 4847, 519, 3684, 547, 4163, 18219, 31139, 338, 269, 898, 849, 12286, 513, 9764, 13941, 1236, 573, 3079, 540, 519, 6687, 2002, 8868, 539, 13941, 10591, 540, 519, 1079, 4505, 623, 1177, 928, 525, 267, 543, 1185, 513, 10160, 543, 6671, 29357, 8060, 267, 2094, 10252, 20469, 1852, 2968, 1447, 2500, 607, 6174, 1379, 543, 2597, 2799, 269, 901, 4528, 1101, 24363, 538, 476, 4198, 280, 563, 763, 623, 1177, 26234, 1185, 922, 26350, 267, 855, 621, 729, 6038, 24565, 607, 1932, 1507, 267, 3500, 267, 543, 540, 3908, 28252, 543, 16566, 585, 8396, 3028, 269, 634, 8136, 14460, 519, 1982, 538, 476, 3422, 274, 267, 543, 1079, 540, 519, 1614, 623, 1177, 928, 525, 7639, 607, 9754, 10525, 563, 265, 2755, 519, 8136, 729, 13197, 519, 10760, 5867, 267, 789, 941, 849, 14236, 3677, 23301, 8154, 2059, 2147, 3515, 267, 1572, 519, 834, 325, 2391, 14247, 10134, 2668, 2368, 2959, 17538, 602, 789, 941, 5497, 6140, 585, 29964, 8154, 5106, 267, 609, 606, 2702, 547, 8038, 936, 9465, 610, 791, 817, 762, 14099, 950, 2556, 267, 1247, 824, 2959, 5815, 789, 941, 9833, 607, 29357, 6438, 10626, 6472, 602, 13234, 7363, 607, 10760, 6191, 563, 2662, 7241, 519, 2013, 267, 519, 2475, 8136, 18815, 3194, 16710, 3459, 606, 7634, 883, 519, 10760, 14247, 10134, 538, 476, 4198, 277, 267, 3056, 547, 8366, 540, 11731, 585, 30384, 547, 932, 24075, 2401, 267, 4354, 339, 1170, 8862, 2431, 267, 543, 13100, 848, 1188, 328, 538, 476, 4198, 278, 563, 265, 932, 24075, 2401, 2919, 1079, 30384, 540, 741, 834, 309, 313, 268, 277, 257, 10760, 14247, 788, 267, 12419, 873, 547, 519, 8136, 538, 3735, 476, 4198, 279, 269, 634, 966, 313, 268, 277, 729, 513, 2582, 5498, 520, 6174, 267, 8032, 899, 513, 14328, 4216, 267, 609, 1079, 13811, 539, 4232, 832, 538, 519, 4216, 4395, 543, 1394, 269, 1703, 941, 12285, 1236, 16630, 1472, 519, 5377, 267, 543, 642, 6951, 18284, 519, 4232, 832, 547, 1683, 25312, 585, 4464, 5163, 563, 763, 966, 313, 268, 277, 729, 13324, 676, 513, 2582, 476, 32699, 737, 310, 630, 4335, 24605, 264, 25059, 2599, 543, 1185, 513, 14407, 2597, 540, 476, 272, 267, 24699, 13532, 630, 273, 267, 23884, 6550, 1040, 570, 9220, 1042, 19426, 5340, 538, 476, 4198, 280, 8612, 602, 519, 966, 313, 268, 277, 729, 711, 1360, 4175, 762, 267, 543, 729, 849, 21354, 24598, 10062, 269, 2201, 519, 966, 313, 268, 277, 781, 1101, 2150, 9220, 1042, 8184, 3801, 267, 621, 1166, 5792, 936, 269, 634, 12681, 23012, 3978, 5945, 267, 855, 519, 6174, 729, 21354, 8697, 269, 634, 8136, 6444, 519, 966, 313, 268, 277, 607, 513, 4503, 2014, 543, 3893, 7759, 540, 1312, 30384, 538, 476, 3422, 271, 563, 265, 634, 4354, 339, 1170, 8862, 2431, 7127, 729, 519, 834, 309, 313, 268, 278, 2580, 849, 1634, 607, 519, 834, 293, 2391, 22427, 1188, 2580, 609, 1079, 30384, 9447, 547, 519, 8136, 538, 4571, 268, 4198, 279, 269, 634, 966, 313, 268, 278, 729, 513, 2241, 4496, 959, 1380, 609, 513, 12681, 909, 4395, 543, 2185, 8880, 4412, 25527, 693, 1142, 540, 2185, 15174, 269, 634, 605, 1186, 941, 782, 9141, 676, 513, 2582, 476, 28766, 737, 310, 630, 28883, 15562, 303, 264, 5695, 321, 727, 8619, 3203, 537, 4614, 8514, 657, 3873, 1111, 2599, 267, 15841, 18284, 519, 3844, 11237, 269, 634, 605, 1186, 941, 8385, 13811, 539, 267, 855, 519, 28954, 941, 6569, 1310, 3355, 1449, 19426, 269, 634, 8484, 729, 11461, 676, 11186, 12334, 1063, 519, 4412, 25527, 267, 543, 513, 25229, 1457, 538, 519, 17081, 9688, 563, 763, 966, 313, 268, 278, 729, 476, 276, 269, 273, 7397, 1279, 543, 476, 275, 269, 280, 7397, 2647, 630, 1704, 676, 476, 1626, 3952, 264, 543, 1185, 513, 5021, 1491, 4752, 2597, 540, 476, 278, 3583, 13532, 630, 272, 267, 10384, 6550, 1070, 609, 476, 7742, 13532, 630, 20862, 6550, 264, 540, 602, 1373, 31139, 269, 634, 966, 313, 268, 278, 17411, 1134, 543, 729, 2653, 547, 8038, 267, 855, 621, 1705, 711, 2743, 2901, 15820, 610, 3432, 4170, 267, 543, 519, 30384, 941, 8120, 547, 4354, 339, 1170, 8862, 2431, 538, 4571, 268, 3422, 271, 563, 265, 634, 13100, 848, 1188, 328, 10760, 14247, 788, 4674, 729, 519, 1034, 3811, 540, 519, 1614, 269, 634, 1101, 540, 519, 1362, 729, 519, 13100, 848, 1188, 328, 834, 26329, 476, 6795, 295, 5794, 10481, 788, 2580, 799, 729, 2016, 519, 8136, 25084, 834, 309, 313, 268, 279, 303, 2668, 634, 5794, 10481, 788, 729, 476, 278, 269, 280, 7397, 1279, 543, 476, 273, 269, 278, 7397, 2647, 630, 2918, 3952, 676, 476, 280, 3952, 1070, 609, 1614, 15918, 12184, 4232, 832, 538, 28954, 538, 519, 4395, 543, 519, 1394, 269, 634, 12681, 543, 18213, 2893, 1063, 519, 28954, 269, 769, 519, 966, 313, 268, 279, 303, 267, 519, 476, 273, 269, 275, 11281, 630, 279, 3723, 264, 8006, 4232, 832, 941, 9141, 676, 513, 6292, 540, 476, 16328, 737, 310, 630, 5197, 24605, 264, 10370, 5765, 25059, 9817, 267, 609, 519, 1379, 3095, 1137, 2966, 865, 602, 835, 2599, 1223, 5397, 1312, 4232, 832, 952, 519, 824, 2599, 8959, 563, 763, 4232, 832, 838, 684, 538, 6587, 8846, 547, 2569, 18165, 2360 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 345, 267, 631, 15030, 1421, 12891, 571, 325, 267, 918, 1421, 667, 958, 267, 654, 12282, 1421, 3223, 583, 10045, 267, 918, 12727, 8293, 2465, 7999, 564, 281, 5981, 6339, 7400, 6111, 609, 476, 2004, 343, 7864, 6724, 543, 382, 350, 476, 271, 269, 276, 544, 321, 2203, 2450, 269, 818, 311, 643, 840, 2745, 818, 311, 643, 281, 8182, 273, 269, 5881, 274, 2568, 630, 1001, 277, 994, 268, 476, 808, 778, 23364, 267, 808, 1421, 1715, 1260, 2041, 267, 681, 6993, 1421, 5096, 2581, 267, 589, 12282, 12727, 7464, 6066, 2627, 1769, 1922, 1752, 7001, 585, 11160, 7695, 540, 1544, 541, 1179, 983, 7252, 269, 769, 281, 24908, 543, 4119, 7757, 18712, 630, 26113, 2752, 1070, 476, 1001, 273, 20959, 4139, 32600, 593, 269, 6032, 269, 476, 11011, 1700, 9032, 269, 20959, 630, 1001, 273, 994, 268, 476, 3751, 2742, 267, 667, 10422, 1421, 13391, 267, 808, 12727, 14088, 281, 589, 1505, 585, 32094, 11938, 269, 818, 311, 643, 840, 2745, 818, 311, 643, 281, 15221, 273, 269, 277, 7176, 271, 630, 1001, 275, 994, 268, 476, 918, 15062, 518, 267, 717, 12282, 1421, 1744, 29195, 267, 590, 6993, 1421, 20855, 1228, 267, 570, 12727, 634, 6482, 540, 8711, 538, 2681, 2592, 269, 4139, 4750, 540, 8950, 17496, 476, 273, 263, 272, 1070, 476, 278, 1700, 3953, 630, 2735, 279, 994, 268, 476, 19681, 6975, 267, 808, 13034, 12727, 7353, 2210, 6319, 521, 633, 632, 544, 839, 3120, 1696, 5552, 756, 639, 24788, 529, 267, 2681, 636, 1696, 16813, 571, 324, 269, 21890, 1777, 630, 12293, 271, 994, 299, 539, 580, 267, 595, 1421, 634, 529, 267, 700, 1421, 26036, 345, 5451, 337, 267, 674, 1421, 16410, 718, 3266, 267, 808, 1421, 595, 7342, 5069, 267, 589, 1421, 3600, 739, 320, 267, 589, 1421, 589, 527, 5287, 267, 589, 1421, 1855, 329, 8643, 267, 589, 1421, 570, 582, 345, 267, 808, 1421, 15651, 267, 2098, 1421, 1696, 620, 12727, 17421, 3146, 531, 2065, 2582, 3239, 2706, 22822, 1210, 513, 30462, 10779, 25106, 3060, 269, 818, 311, 643, 840, 2745, 630, 1001, 277, 994, 268, 476, 6931, 267, 590, 1421, 10557, 267, 590, 15030, 12727, 6480, 11582, 540, 27556, 543, 1179, 983, 5920, 269, 769, 281, 8950, 17496, 267, 476, 1960, 280, 269, 634, 18619, 540, 519, 1530, 22770, 20959, 4139, 10985, 593, 269, 2019, 269, 476, 273, 267, 6032, 269, 476, 279, 4649, 1700, 279, 2568, 269, 20959, 630, 1960, 280, 994, 268, 476, 6931, 267, 590, 1421, 9149, 267, 962, 1421, 918, 836, 267, 590, 11065, 1421, 26280, 267, 2473, 1421, 1744, 636, 267, 670, 28629, 12727, 5262, 2224, 6741, 4788, 9668, 543, 3178, 6051, 689, 3239, 9696, 269, 769, 281, 3864, 10554, 593, 2780, 5075, 269, 6032, 269, 476, 13975, 1700, 23470, 269, 22219, 630, 1220, 273, 994, 268, 476, 6931, 267, 590, 1421, 1744, 636, 267, 670, 28629, 12727, 9484, 9653, 540, 27556, 543, 1179, 983, 8086, 538, 2681, 2592, 269, 769, 281, 8950, 17496, 543, 23694, 23779, 267, 476, 1220, 272, 269, 22008, 11266, 476, 1220, 272, 269, 18619, 540, 519, 476, 1220, 272, 20959, 8950, 5980, 10985, 593, 269, 2019, 269, 476, 272, 267, 6032, 269, 594, 1700, 296, 269, 20959, 630, 1220, 272, 994, 268, 476, 631, 2131, 320, 267, 589, 1421, 7665, 574, 990, 267, 631, 1421, 2098, 3326, 14833, 1030, 518, 267, 631, 1421, 932, 2660, 329, 2465, 267, 589, 1421, 9400, 339, 267, 595, 1421, 634, 28240, 267, 595, 12727, 14970, 17271, 1570, 16759, 269, 818, 311, 643, 840, 2745, 818, 311, 643, 281, 5197, 272, 269, 18089, 4037, 630, 1001, 279, 994, 268, 476, 715, 599, 541, 267, 590, 14389, 1421, 674, 836, 267, 2473, 2529, 1421, 645, 14115, 267, 570, 12727, 9484, 9653, 540, 8086, 3334, 1210, 2681, 543, 26445, 269, 4139, 4750, 540, 8950, 17496, 476, 2641, 263, 274, 1070, 476, 14321, 1700, 5908, 630, 1960, 278, 994, 268, 476, 27050, 928, 31000, 267, 744, 1421, 674, 29531, 267, 623, 1421, 645, 6918, 267, 570, 12727, 772, 5991, 564, 281, 1230, 23728, 531, 5121, 585, 24118, 3239, 26409, 269, 769, 281, 4139, 10985, 593, 6481, 3239, 7384, 543, 2780, 29374, 6304, 269, 6032, 269, 476, 23056, 1700, 25240, 269, 22219, 630, 1001, 276, 994, 268, 476, 20767, 323, 1731, 267, 631, 9950, 6993, 1421, 570, 4821, 1794, 24065, 328, 267, 631, 1421, 6931, 267, 808, 12727, 9198, 894, 10319, 5121, 585, 2582, 3239, 2706, 22822, 269, 818, 311, 643, 281, 5002, 273, 269, 10441, 6858, 630, 1001, 280, 994, 268, 476, 1744, 29195, 267, 590, 6993, 12727, 4635, 2681, 547, 5094, 8086, 3334, 269, 23333, 3036, 3194, 1299, 13335, 476, 1015, 263, 275, 1070, 476, 13975, 1700, 25908, 630, 2735, 276, 994, 268, 476, 30715, 267, 670, 11482, 1421, 595, 2967, 267, 1627, 28629, 12727, 11822, 543, 3608, 1505, 585, 1179, 983, 640, 8851, 538, 606, 3239, 269, 11930, 25852, 476, 4366, 263, 1691, 1070, 476, 27244, 272, 1700, 27244, 280, 630, 1220, 280, 994, 268, 476, 30715, 267, 670, 11482, 1421, 18681, 267, 670, 14371, 1421, 1744, 7776, 267, 590, 12282, 1421, 2473, 514, 267, 808, 13034, 12727, 26537, 1738, 640, 2861, 9668, 540, 8086, 3334, 538, 513, 2582, 3239, 269, 23694, 23779, 476, 6078, 263, 279, 1070, 476, 26727, 272, 1700, 26727, 280, 630, 1220, 279, 994, 268, 476, 26757, 267, 808, 1421, 667, 784, 267, 962, 1421, 2672, 267, 670, 1421, 853, 7578, 267, 2473, 28629, 12727, 4804, 1875, 2000, 600, 6975, 1014, 1843, 11371, 1231, 923, 2066, 3093, 523, 564, 6688, 269, 769, 281, 8950, 17496, 543, 23694, 23779, 630, 20302, 11266, 1070, 476, 1001, 278, 20959, 10985, 593, 269, 6032, 269, 476, 6812, 275, 275, 1700, 276, 5952, 274, 269, 20959, 630, 1001, 278, 994, 268, 476, 26757, 267, 654, 1421, 16410, 718, 3266, 267, 808, 1421, 26036, 345, 5451, 337, 267, 674, 1421, 570, 582, 345, 267, 808, 1421, 589, 527, 5287, 267, 589, 10422, 1421, 21674, 267, 681, 1421, 681, 826, 1188, 1068, 267, 667, 1421, 15651, 267, 2098, 12727, 7464, 6066, 2582, 3239, 543, 3381, 2706, 22822, 1210, 606, 3608, 1016, 1790, 31242, 28708, 531, 8849, 3060, 269, 769, 281, 18619, 540, 519, 20959, 10985, 593, 8950, 17496, 543, 23694, 23779, 269, 6032, 269, 476, 6942, 275, 1700, 6642, 274, 630, 1001, 277, 994, 268, 476, 18000, 267, 681, 11053, 1421, 594, 651, 1276, 328, 267, 918, 12727, 9484, 541, 908, 8086, 3334, 540, 1257, 3293, 7252, 1210, 513, 2582, 3239, 269, 20959, 8852, 593, 4806, 2079, 543, 3684, 4987, 476, 2767, 263, 273, 1070, 476, 9965, 1700, 4350, 630, 1220, 276, 994, 268, 476, 1284, 1170, 267, 962, 12727, 14216, 1516, 17271, 2592, 689, 3239, 9696, 269, 769, 281, 8950, 17496, 267, 476, 1220, 272, 269, 594, 6717, 309, 476, 1220, 272, 269, 18619, 269, 661, 12915, 20959, 4139, 10985, 593, 269, 2019, 269, 476, 273, 267, 6032, 269, 476, 6924, 1700, 4037, 269, 20959, 630, 1220, 272, 994, 268, 476, 26728, 742, 267, 700, 11065, 1421, 645, 14115, 267, 570, 9950, 12727, 4790, 20995, 1843, 2934, 1210, 513, 26445, 2992, 766, 2203, 269, 20959, 3690, 13905, 593, 23694, 5811, 543, 10724, 11106, 476, 1724, 263, 278, 1070, 476, 277, 3374, 1700, 4792, 278, 630, 1960, 272, 994, 313, 28702, 267, 681, 1421, 1772, 7637, 267, 623, 1421, 661, 325, 4592, 267, 589, 6993, 1421, 2701, 19816, 2006, 267, 661, 1421, 15651, 267, 744, 12727, 634, 11389, 32208, 7145, 540, 2620, 2934, 607, 513, 829, 24632, 11973, 269, 818, 311, 643, 840, 2745, 630, 1001, 279, 264, 0, 5970, 596, 2479, 2219, 827, 875, 547, 2328, 606, 1557, 286, 12344, 596, 723, 2854, 4557, 2835, 610, 811, 538, 519, 1576, 540, 707, 1153, 4876, 267, 855, 596, 10093, 1406, 2479, 3144, 519, 942, 547, 1451, 875, 547, 798, 621, 7157, 269, 2107, 596, 949, 581, 513, 21738, 1153, 2875, 945, 6999, 547, 10505, 513, 1382, 3561, 267, 543, 596, 798, 711, 917, 1141, 547, 4179, 2517, 3410, 17549, 9724, 329, 518, 8124, 269, 26020, 270, 3410, 1790, 1653, 25298, 2253, 269, 23657, 9183, 568, 24858, 269, 1656, 596, 3580, 581, 2111, 547, 4368, 621, 2336, 5629, 594, 729, 538, 1153, 267, 594, 6068, 547, 2328, 827, 1250, 19463, 5396, 281, 3140, 13299, 267, 1158, 1686, 267, 610, 1977, 2442, 2528, 269, 1809, 950, 621, 3357, 547, 1603, 3594, 267, 594, 1185, 1044, 693, 513, 2530, 269, 594, 6785, 2614, 827, 891, 3584, 547, 581, 2111, 547, 2328, 513, 17396, 1557, 267, 855, 950, 621, 3357, 547, 2965, 1603, 835, 267, 594, 1705, 711, 917, 1141, 547, 1205, 3323, 269, 1924, 594, 1131, 1224, 8726, 4930, 267, 8039, 267, 543, 2835, 594, 1223, 1265, 593, 519, 1641, 269, 594, 8910, 1256, 979, 865, 2484, 607, 547, 1826, 713, 1570, 547, 513, 2262, 16267, 256, 9741, 1705, 594, 917, 602, 594, 8910, 1175, 16686, 2390, 513, 2241, 1259, 547, 1451, 875, 547, 17492, 606, 1557, 563, 763, 5728, 547, 1603, 1022, 1557, 568, 547, 6430, 593, 513, 1888, 602, 596, 616, 5432, 609, 267, 610, 693, 2547, 5461, 538, 269, 1411, 1287, 991, 547, 3442, 930, 4574, 799, 941, 2854, 593, 713, 3390, 543, 4983, 873, 269, 634, 3390, 609, 713, 1935, 568, 602, 596, 949, 711, 2141, 1589, 602, 596, 3858, 609, 519, 1888, 4843, 547, 596, 13948, 269, 1677, 2322, 621, 8335, 267, 596, 949, 1224, 519, 11356, 543, 1589, 2223, 6546, 568, 15265, 267, 855, 621, 779, 2965, 7168, 1434, 952, 596, 1152, 1413, 693, 513, 6712, 540, 621, 1848, 769, 2013, 596, 10093, 1406, 1224, 519, 2898, 3364, 267, 621, 666, 581, 2352, 547, 23754, 1018, 568, 3020, 543, 1018, 568, 2150, 4902, 563, 3719, 676, 4974, 513, 1906, 4574, 267, 596, 786, 1205, 513, 2603, 811, 6899, 609, 713, 1888, 269, 3502, 1152, 786, 596, 1831, 6899, 609, 782, 519, 1603, 2511, 267, 2705, 596, 786, 849, 1831, 1360, 9952, 693, 7114, 12889, 538, 519, 11356, 269, 1635, 2324, 593, 519, 1603, 2427, 540, 1919, 267, 543, 1565, 875, 547, 5544, 9073, 267, 596, 666, 2087, 707, 1557, 779, 20427, 256, 634, 2582, 2721, 3724, 547, 713, 1505, 540, 21882, 3594, 568, 602, 621, 3340, 2864, 513, 1247, 547, 1831, 513, 1434, 5856, 563, 288, 2484, 1732, 1259, 547, 5818, 707, 1603, 1983, 568, 547, 1491, 513, 1888, 799, 596, 616, 5393, 25981, 827, 543, 1265, 930, 2200, 547, 4217, 596, 2328, 519, 1557, 269, 1635, 1259, 540, 3236, 267, 952, 596, 2461, 13730, 827, 5026, 267, 596, 666, 1382, 1114, 5026, 7194, 547, 519, 3018, 269, 1411, 1223, 1256, 1413, 909, 1699, 2621, 1472, 519, 23242, 2680, 799, 596, 2461, 2519, 593, 269, 1452, 2645, 616, 1572, 10274, 267, 543, 789, 616, 1360, 3532, 269, 1358, 3580, 4001, 596, 519, 17950, 540, 519, 1641, 267, 607, 1134, 607, 2285, 596, 2143, 1344, 827, 519, 1034, 1455, 9073, 1500, 1247, 1603, 519, 1557, 269, 4495, 596, 1174, 891, 9073, 267, 621, 786, 581, 1454, 4443, 547, 17492, 606, 1557, 602, 568, 2407, 540, 5013, 543, 814, 513, 1283, 2298, 563, 7661, 267, 1776, 1505, 585, 1565, 875, 547, 2328, 606, 1557, 568, 547, 3274, 1224, 607, 1082, 4930, 267, 2835, 267, 543, 7270, 607, 2009, 7282, 519, 1888, 269, 1635, 3257, 713, 267, 596, 1831, 3833, 5432, 609, 519, 1826, 540, 1603, 596, 991, 547, 11654, 269, 4634, 538, 519, 2680, 602, 596, 4076, 711, 2808, 1603, 606, 1557, 4505, 267, 621, 949, 581, 1851, 519, 1034, 2352, 1983, 547, 4487, 269, 2060, 2614, 1353, 267, 596, 991, 547, 581, 2111, 547, 2328, 606, 11141, 1557, 538, 1100, 942, 693, 782, 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 ]
[ 5258, 883, 5216, 13980, 602, 941, 7856, 10838, 519, 1585, 6237, 25267, 267, 1141, 789, 941, 1671, 15590, 1441, 538, 5216, 1390, 23535, 553, 269, 634, 23535, 320, 693, 26751, 8932, 729, 3710, 676, 519, 13397, 577, 822, 328, 14316, 547, 1671, 327, 9068, 741, 6712, 540, 519, 3788, 269, 769, 476, 4198, 279, 519, 23535, 320, 729, 8118, 676, 18840, 5505, 945, 1336, 513, 1507, 12853, 6149, 524, 21488, 5627, 519, 607, 1127, 540, 519, 17700, 269, 1452, 616, 1631, 24428, 538, 519, 4793, 3534, 9754, 563, 300, 1695, 822, 3570, 918, 583, 26196, 553, 8403, 966, 8811, 4673, 454, 299, 11343, 476, 276, 14790, 689, 28446, 880, 8932, 538, 519, 8498, 540, 30709, 327, 7699, 568, 519, 10067, 822, 3570, 918, 583, 26196, 553, 8403, 3933, 2120, 344, 1141, 519, 17700, 5795, 1082, 1271, 10752, 269, 898, 568, 519, 1747, 1141, 519, 17700, 15861, 2021, 883, 519, 5842, 724, 320, 543, 1141, 519, 3788, 540, 1323, 7701, 941, 1671, 15590, 1441, 538, 513, 23535, 320, 563, 763, 10548, 752, 1495, 26653, 568, 1767, 547, 1665, 519, 1747, 1141, 513, 24564, 6035, 513, 12826, 540, 9932, 547, 519, 17700, 563, 763, 1747, 1141, 519, 17700, 590, 548, 696, 543, 1199, 18469, 269, 1284, 1199, 18469, 538, 713, 10723, 1747, 563, 2005, 729, 1934, 538, 26751, 8932, 602, 519, 17700, 9307, 602, 646, 1131, 1780, 2476, 538, 1614, 3275, 942, 269, 634, 17700, 12038, 547, 519, 19632, 13225, 1731, 16223, 639, 3976, 912, 10287, 519, 570, 987, 698, 1092, 779, 1383, 865, 602, 519, 13411, 1272, 949, 22036, 585, 513, 1279, 942, 585, 519, 1434, 540, 1082, 269, 695, 5622, 1077, 519, 1158, 609, 8296, 267, 585, 519, 10304, 267, 1434, 543, 8788, 540, 1312, 10971, 543, 2367, 563, 4517, 875, 4927, 596, 1246, 519, 570, 987, 698, 1092, 779, 1383, 286, 1635, 1565, 267, 8026, 267, 3384, 543, 14237, 519, 9050, 25043, 540, 17607, 267, 519, 9050, 9406, 27557, 267, 543, 519, 9050, 645, 1162, 540, 11773, 267, 519, 12866, 11120, 738, 625, 267, 519, 12866, 25024, 267, 519, 18599, 11790, 540, 21654, 267, 543, 519, 32201, 20640, 19507, 11202, 269, 5457, 13225, 1731, 16223, 639, 267, 782, 1919, 616, 6650, 2006, 550, 269, 5899, 633, 29367, 547, 12492, 19802, 269, 769, 1614, 3275, 519, 570, 987, 698, 1092, 786, 1780, 2476, 563, 263, 4415, 7064, 547, 13966, 519, 11202, 267, 676, 918, 800, 7108, 6199, 1299, 18466, 548, 5463, 776, 994, 301, 531, 7701, 3933, 2120, 344, 22859, 1231, 454, 763, 17700, 1419, 18423, 538, 519, 1858, 1472, 715, 531, 7701, 267, 2663, 621, 2968, 606, 3486, 4099, 540, 2069, 602, 11478, 585, 936, 476, 10384, 1296, 269, 2311, 922, 4463, 715, 531, 7701, 24428, 936, 5216, 8536, 1053, 543, 936, 513, 8536, 12200, 267, 3450, 4984, 267, 6138, 267, 10409, 267, 1514, 543, 3621, 4610, 540, 1353, 907, 4841, 540, 715, 531, 7701, 3769, 1744, 656, 728, 9366, 267, 20144, 1301, 752, 7398, 328, 267, 16114, 541, 6545, 7534, 267, 22087, 5733, 3711, 327, 6072, 543, 21919, 531, 553, 10042, 563, 763, 717, 663, 3873, 918, 583, 328, 454, 763, 11454, 3135, 1948, 274, 568, 519, 1747, 540, 519, 717, 663, 327, 752, 583, 328, 267, 519, 1747, 1141, 519, 17700, 18423, 1247, 538, 715, 531, 7701, 563, 2171, 1199, 18469, 538, 713, 12560, 1747, 563, 311, 10224, 2098, 836, 17341, 8065, 454, 288, 15999, 10689, 3710, 607, 513, 24744, 547, 835, 540, 519, 6574, 14418, 19623, 338, 267, 2473, 10224, 2098, 836, 267, 945, 24964, 689, 3624, 547, 3127, 538, 519, 476, 276, 628, 11416, 936, 513, 1974, 540, 476, 1428, 1296, 269, 1261, 5645, 1394, 547, 3624, 936, 476, 20981, 14418, 5931, 799, 646, 1287, 12261, 883, 4457, 269, 1261, 849, 5206, 513, 4760, 799, 2663, 5280, 18840, 5505, 2697, 543, 3605, 1082, 540, 519, 4503, 10723, 14418, 4609, 4448, 547, 519, 17700, 779, 1272, 269, 898, 568, 7064, 547, 1864, 602, 1082, 540, 519, 4609, 649, 723, 10272, 941, 1336, 543, 26016, 1242, 585, 31145, 563, 7628, 519, 17700, 779, 942, 14076, 326, 597, 729, 1634, 607, 14076, 698, 21036, 267, 2495, 10424, 15335, 543, 729, 519, 3854, 540, 519, 7395, 611, 7315, 10806, 269, 898, 729, 12021, 585, 922, 5898, 609, 922, 22253, 267, 11614, 267, 803, 27595, 267, 7733, 543, 4478, 10239, 563, 5475, 695, 3058, 1010, 2212, 543, 4742, 513, 544, 754, 545, 656, 267, 646, 15336, 547, 14076, 326, 597, 538, 3406, 540, 513, 4116, 563, 763, 17700, 1199, 18469, 1934, 585, 2947, 24925, 12405, 1310, 1010, 21481, 543, 1310, 14205, 520, 628, 328, 267, 9447, 811, 27964, 1934, 982, 9170, 3116, 563, 2171, 941, 26752, 2614, 547, 1586, 581, 2111, 547, 3251, 538, 519, 8738, 332, 3150, 27694, 585, 938, 3251, 538, 14076, 326, 597, 269, 898, 2141, 4667, 811, 3617, 547, 3251, 538, 513, 27694, 2864, 982, 513, 15678, 267, 1851, 519, 26112, 543, 824, 19623, 338, 267, 609, 519, 1482, 9837, 607, 938, 1378, 267, 1419, 609, 513, 11454, 585, 9066, 563, 763, 645, 16656, 717, 17311, 630, 309, 601, 12320, 3570, 994, 763, 3135, 540, 519, 5842, 724, 320, 779, 1101, 27694, 267, 24603, 676, 3751, 645, 12494, 529, 4673, 267, 538, 14696, 585, 1010, 8391, 10752, 689, 519, 17700, 269, 3751, 645, 12494, 529, 4673, 729, 513, 1279, 5503, 1829, 18503, 540, 519, 17700, 267, 2348, 1558, 1864, 1354, 1010, 21481, 267, 16761, 519, 2104, 17700, 547, 2132, 950, 646, 1185, 25189, 21481, 563, 763, 13458, 623, 698, 18649, 454, 5475, 513, 1279, 18214, 649, 6603, 519, 1283, 540, 513, 7823, 543, 519, 695, 21468, 23535, 320, 267, 3710, 676, 519, 715, 2089, 517, 345, 534, 3733, 2129, 334, 10202, 14609, 7290, 3392, 540, 3567, 269, 853, 7342, 5784, 540, 519, 4478, 4437, 9618, 24781, 543, 6772, 8504, 519, 4583, 966, 30743, 8445, 563, 4002, 519, 1259, 909, 547, 966, 30743, 30078, 568, 1323, 7701, 779, 13946, 267, 519, 13946, 1141, 519, 3781, 1354, 519, 1101, 14643, 1323, 7701, 25189, 589, 19207, 1218, 1222, 543, 729, 4061, 2111, 547, 7390, 519, 14643, 543, 973, 924, 519, 521, 18636, 553, 269, 1284, 1500, 17008, 543, 1199, 18469, 693, 713, 1034, 10723, 1747, 563, 763, 9566, 13946, 909, 519, 7823, 568, 1634, 607, 7203, 760, 583, 3279, 779, 13946, 607, 713, 568, 1141, 7203, 760, 583, 3279, 267, 835, 540, 17700, 779, 8783, 20785, 543, 1634, 585, 1010, 1390, 7326, 267, 6913, 589, 19207, 1218, 1222, 269, 898, 568, 7203, 760, 583, 3279, 945, 12134, 513, 2243, 602, 12987, 519, 6765, 540, 519, 9839, 27659, 571, 563, 763, 1034, 1271, 3135, 538, 14076, 326, 597, 585, 721, 267, 607, 713, 568, 1141, 519, 17700, 5795, 519, 2048, 29587, 27659, 571, 685, 11407, 799, 649, 723, 6594, 269, 634, 521, 583, 571, 5956, 2048, 13295, 594, 723, 4862, 267, 693, 835, 942, 519, 645, 1652, 539, 2290, 729, 23029, 538, 14076, 698, 686, 3873, 593, 7136, 539, 966, 30743, 13738, 267, 1927, 609, 513, 1390, 10198, 540, 26112, 543, 562, 12584, 543, 513, 1390, 10198, 540, 26636, 20130, 3430, 11663, 10200, 634, 521, 583, 571, 568, 606, 1163, 3789, 593, 17700, 779, 1034, 7096, 3450, 593, 519, 7962, 1465, 540, 782, 9259, 543, 11537, 676, 543, 8149, 547, 3965, 676, 1082, 10067, 27011, 14609, 327, 1235, 563, 2171, 1500, 17008, 543, 1199, 18469, 1934, 693, 713, 1034, 10723, 3135, 1141, 519, 17700, 1419, 1199, 18469, 543, 5795, 1082, 27964, 563, 763, 1747, 1141, 519, 3689, 7027, 1739, 519, 8429, 540, 519, 17700, 729, 4371, 269, 1230, 1597, 539, 676, 10067, 752, 817, 23981, 267, 621, 729, 693, 519, 3689, 7027, 602, 519, 15550, 11535, 543, 590, 18636, 553, 941, 973, 1243, 543, 8815, 2390, 543, 616, 519, 10752, 602, 649, 3136, 547, 2259, 2221, 563, 2171, 1500, 17008, 543, 1199, 18469, 693, 713, 1034, 10475, 1747, 563, 289, 617, 327, 717, 11535, 267, 519, 1747, 540, 519, 17700, 779, 1390, 31135, 267, 519, 1034, 10723, 540, 782, 519, 14418, 31145, 4609, 269, 7316, 5215, 26600, 689, 782, 936, 519, 14418, 1158, 547, 2992, 593, 519, 17700, 779, 1390, 9740, 543, 1010, 1390, 8296, 267, 547, 4931, 629, 3634, 519, 10067, 629, 617, 6062, 13527, 267, 1118, 605, 1598, 725, 267, 1199, 10028, 267, 669, 656, 16051, 6652, 543, 1685, 4996, 10937, 563, 763, 26636, 6062, 10326, 454, 6826, 16442, 519, 10067, 629, 617, 6062, 13527, 568, 519, 26636, 6062, 10326, 267, 513, 13956, 550, 540, 519, 3312, 3529, 896, 799, 519, 17700, 25189, 21481, 563, 296, 1199, 18469, 1934, 1169, 1554, 609, 6844, 327, 1235, 689, 782, 936, 519, 1158, 543, 689, 1114, 3392, 338, 540, 13221, 543, 10150, 1082, 2010, 540, 4996, 329, 553, 543, 669, 13589, 563, 763, 1133, 4565, 9722, 1744, 9068, 454, 763, 17700, 6170, 519, 1101, 1310, 1010, 21481, 9361, 896, 519, 26636, 6062, 10326, 679, 14765, 532, 519, 5613, 540, 1010, 6602, 269, 1261, 1287, 3893, 909, 543, 15336, 513, 1906, 3268, 2476, 689, 519, 3529, 543, 11542, 31325, 693, 519, 3529, 585, 1776, 3018, 563, 763, 4035, 601, 8871, 523, 1228, 1744, 9068, 454, 763, 6170, 519, 3791, 3018, 1310, 21481, 2247, 2685, 6972, 909, 543, 1524, 519, 13049, 539, 1596, 523, 1228, 563, 763, 15795, 3018, 1310, 21481, 519, 17700, 1199, 18469, 676, 519, 631, 1075, 531, 25475, 8235, 543, 1282, 713, 942, 621, 986, 1441, 543, 2836, 25475, 267, 513, 3532, 10143, 1583, 25871, 267, 1071, 6150, 5128, 1472, 519, 17700, 543, 8118, 1010, 26372, 936, 519, 17700, 779, 2212, 267, 31364, 1864, 689, 519, 4764, 267, 2842, 543, 7786, 563, 288, 695, 9068, 538, 1121, 324, 828, 766, 540, 2672, 329, 1092, 5356, 7573, 30077, 532, 547, 519, 17700, 269, 589, 9602, 1747, 856, 540, 4884, 543, 2066, 533, 23098, 4610, 538, 513, 1507, 8498, 267, 3501, 547, 1118, 17008, 543, 513, 9066, 563, 763, 1523, 540, 31145, 3323, 538, 519, 10067, 777, 18288, 756, 3316, 320, 27659, 3279, 267, 1141, 519, 17700, 5018, 2185, 4025, 513, 25058, 324, 1058, 3643, 281, 519, 1747, 1141, 646, 729, 4535, 630, 299, 3518, 7236, 1070, 519, 1747, 540, 1010, 21481, 630, 289, 617, 327, 717, 11535, 1070, 519, 1747, 1141, 646, 5795, 1010, 1101, 11407, 630, 306, 7568, 987, 1070, 543, 519, 1747, 1141, 646, 5293, 2476, 630, 298, 2313, 514, 26196, 1040, 13536, 513, 2417, 2185, 4025, 941, 3773, 267, 1744, 9545, 770, 328, 267, 14076, 326, 597, 267, 590, 1678, 553, 5984, 543, 28446, 880, 8932, 269, 1924, 689, 2185, 621, 2968, 5216, 267, 543, 609, 942, 267, 19623, 338, 3459, 9683, 519, 3003, 1858, 540, 7395, 611, 3873, 267, 849, 1572, 519, 5664, 8092, 267, 20727, 329, 327, 9874, 2677, 320, 269, 15815, 15317, 720, 8057, 1317, 19623, 338, 24714, 547, 3643, 1169, 1747, 4448, 547, 519, 17700, 267, 519, 20144, 10397, 543, 547, 519, 17700, 779, 8783, 20785, 971, 607, 7203, 760, 583, 3279, 267, 10067, 600, 17344, 718, 3570, 543, 10067, 752, 817, 23981, 269, 1635, 519, 18749, 2540, 950, 519, 4457, 19623, 267, 2473, 10224, 2098, 836, 8452, 267, 972, 729, 513, 27694, 1169, 1614, 21240, 2336, 763, 7796, 326, 13548, 568, 1114, 689, 9235, 538, 602, 835, 11394, 547, 1020, 513, 3152, 4276, 547, 519, 3140, 17700, 267, 799, 538, 2490, 2337, 547, 2333, 5132, 543, 20174, 547, 519, 17700, 267, 20144, 10397, 543, 5842, 724, 320, 563, 7628, 513, 3643, 547, 513, 10723, 3135, 621, 729, 1271, 585, 721, 547, 1265, 513, 1747, 540, 2956, 1369, 519, 3135, 543, 1287, 547, 1199, 10028, 543, 2992, 593, 519, 2621, 602, 3576, 1747, 693, 519, 3135, 269, 4438, 1250, 1199, 14591, 594, 786, 1745, 513, 1390, 2631, 540, 14696, 547, 543, 5132, 538, 519, 17700, 543, 519, 20144, 10397, 8451, 538, 1250, 2295, 267, 14304, 1250, 6999, 543, 8207, 547, 1246, 519, 2619, 646, 1305, 856, 585, 721, 269, 634, 1383, 540, 519, 17700, 267, 1010, 20785, 543, 782, 519, 19623, 338, 602, 723, 8854, 1354, 616, 971, 606, 6667, 563, 26589, 519, 1259, 649, 723, 18423, 538, 20708, 625, 543, 1558, 14418, 689, 782, 936, 519, 1158, 543, 689, 782, 519, 1114, 3392, 338, 540, 13221, 269, 1284, 1500, 2828, 543, 3838, 538, 519, 7772, 540, 1818, 17008, 267, 1199, 23550, 267, 4931, 3711, 6819, 267, 669, 13589, 267, 605, 1598, 908, 543, 10452, 593, 519, 17700, 779, 1390, 8296, 585, 4687, 519, 20144, 10397, 267, 547, 5305, 782, 7919, 689, 7092, 3056, 873, 547, 19802, 543, 3501, 8788, 563, 16729 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3095, 1851, 11838, 543, 4965, 563, 19522, 585, 5883, 11838, 454, 2252, 596, 610, 707, 22525, 814, 11838, 267, 513, 5812, 16786, 609, 3337, 543, 4948, 6788, 666, 581, 3730, 269, 1280, 4079, 267, 519, 6165, 540, 8638, 267, 4509, 513, 11706, 267, 543, 8380, 23106, 616, 1697, 2409, 547, 948, 596, 1205, 543, 3251, 6896, 269, 1280, 1453, 267, 621, 949, 581, 6225, 547, 4656, 593, 1603, 1524, 6780, 10467, 543, 4509, 3339, 3688, 267, 2059, 609, 9162, 543, 1394, 335, 2931, 267, 538, 8655, 9634, 563, 13981, 3152, 827, 519, 19210, 538, 3044, 849, 666, 4217, 596, 1451, 875, 547, 1852, 621, 269, 20871, 899, 5753, 543, 20661, 609, 23206, 4347, 7228, 13081, 610, 519, 23206, 4347, 7228, 13081, 5948, 2709, 31452, 585, 2359, 538, 1840, 547, 519, 1459, 1554, 1382, 563, 7312, 1072, 19995, 666, 2709, 811, 23376, 538, 2409, 547, 13861, 707, 11838, 4191, 543, 2589, 269, 3371, 616, 10372, 585, 5885, 707, 4816, 609, 11838, 13861, 1142, 1554, 9021, 543, 2238, 267, 689, 3478, 5423, 585, 2852, 538, 519, 6640, 547, 1818, 946, 540, 585, 2852, 563, 2690, 3214, 543, 4079, 267, 15860, 11838, 786, 723, 513, 3978, 1764, 593, 707, 19824, 269, 898, 666, 1860, 1153, 267, 10367, 267, 543, 3347, 269, 9615, 568, 2565, 547, 24390, 519, 4093, 540, 519, 3510, 563, 3719, 621, 779, 1869, 1271, 547, 3180, 538, 4555, 602, 1082, 1004, 609, 11838, 1995, 16990, 543, 513, 1967, 2729, 269, 2368, 1256, 512, 719, 519, 25736, 540, 519, 2783, 563, 2252, 596, 1589, 596, 610, 707, 1126, 949, 723, 11838, 267, 707, 1101, 1900, 723, 547, 581, 6158, 547, 707, 1072, 19995, 269, 1358, 666, 4217, 3313, 952, 11838, 568, 513, 3390, 585, 596, 610, 707, 4816, 269, 2659, 1072, 19995, 1450, 596, 547, 1711, 513, 16185, 1544, 602, 786, 948, 596, 1852, 707, 4191, 543, 2661, 23182, 609, 11838, 269, 0, 9827, 1282, 519, 2034, 1032, 267, 20854, 786, 1404, 3756, 540, 7301, 3125, 610, 834, 13133, 754, 257, 538, 606, 4674, 547, 18174, 1866, 267, 543, 713, 3340, 602, 519, 1126, 917, 1018, 1866, 3494, 1354, 646, 610, 1352, 666, 13861, 1346, 4978, 269, 4340, 547, 3173, 693, 519, 2160, 540, 9628, 945, 1031, 6198, 6419, 16982, 9196, 535, 28122, 18244, 1063, 519, 6502, 540, 476, 278, 543, 476, 1321, 1296, 2408, 547, 581, 6923, 20916, 547, 1745, 6568, 585, 1866, 538, 1928, 269, 4256, 4681, 476, 616, 5812, 609, 3105, 535, 28122, 2090, 540, 1928, 6568, 609, 4079, 563, 2690, 3236, 267, 950, 519, 12370, 6355, 5623, 3370, 606, 2376, 593, 519, 1888, 1079, 1296, 3516, 267, 621, 13631, 513, 2362, 6871, 540, 3988, 982, 1022, 824, 2376, 3370, 538, 602, 1974, 673, 538, 519, 2063, 476, 2412, 1296, 269, 594, 849, 786, 3277, 547, 930, 540, 519, 1382, 16046, 3929, 4987, 609, 1271, 960, 5829, 4093, 971, 607, 1367, 2773, 543, 10721, 7607, 563, 10214, 1498, 519, 2165, 814, 1044, 3765, 4310, 543, 26884, 676, 1082, 2442, 9088, 267, 594, 3494, 621, 26520, 593, 513, 6109, 3621, 5748, 269, 4746, 267, 1247, 972, 616, 3344, 540, 519, 1523, 602, 616, 711, 1007, 267, 930, 3344, 616, 269, 8466, 24306, 540, 519, 13445, 1879, 16895, 3459, 547, 2328, 543, 1589, 827, 4987, 267, 789, 5059, 593, 5042, 3344, 267, 971, 607, 3965, 543, 1966, 9010, 563, 4913, 267, 972, 941, 3173, 945, 6444, 2038, 593, 602, 519, 1875, 2275, 4321, 3344, 941, 849, 1271, 269, 1280, 3236, 267, 6424, 1284, 577, 338, 2401, 3989, 4987, 607, 834, 1492, 14919, 610, 2518, 4390, 540, 519, 1367, 547, 957, 3483, 2685, 267, 547, 1589, 678, 14260, 267, 543, 547, 4308, 3927, 609, 1010, 1604, 8487, 2026, 2038, 607, 646, 5219, 547, 834, 12061, 10784, 5878, 633, 257, 607, 1134, 607, 834, 842, 5878, 633, 257, 2609, 267, 676, 799, 646, 5921, 28146, 267, 2123, 267, 543, 1514, 2188, 269, 634, 1292, 2243, 568, 2436, 1875, 10784, 5878, 633, 267, 602, 568, 28146, 543, 598, 894, 5759, 267, 616, 8098, 24777, 607, 2188, 540, 2489, 4987, 563, 7069, 1543, 542, 814, 1044, 602, 971, 2188, 616, 711, 1152, 8098, 24777, 855, 2556, 269, 594, 723, 6836, 547, 1397, 602, 538, 1840, 547, 6457, 633, 972, 616, 849, 17386, 1875, 10784, 5878, 633, 2188, 602, 3313, 10995, 2623, 563, 2252, 519, 2062, 4707, 7422, 616, 2953, 267, 621, 5205, 602, 649, 3112, 2503, 547, 2268, 2698, 4987, 2394, 938, 4255, 849, 1331, 930, 3800, 540, 519, 1875, 10784, 5878, 633, 2188, 1496, 2171, 577, 338, 2401, 28872, 269, 1284, 577, 338, 2401, 729, 711, 519, 1152, 11001, 945, 4718, 1875, 2275, 4321, 3344, 540, 4987, 547, 581, 1271, 585, 9542, 543, 1967, 563, 27144, 18897, 526, 833, 267, 547, 1491, 1776, 1383, 267, 729, 1603, 827, 834, 25791, 4987, 257, 538, 519, 3735, 19412, 2906, 269, 10251, 267, 519, 960, 540, 891, 2038, 23806, 729, 7361, 16618, 610, 15763, 2394, 950, 20999, 8493, 1676, 3459, 547, 2328, 827, 834, 20123, 2118, 4987, 269, 769, 519, 521, 267, 896, 519, 4287, 540, 12920, 874, 650, 267, 519, 11882, 3557, 15557, 5525, 6700, 602, 834, 4621, 573, 3130, 257, 568, 606, 1271, 2460, 540, 2500, 5718, 563, 5415, 4481, 267, 713, 1382, 6700, 602, 3401, 945, 616, 2111, 547, 3715, 834, 332, 583, 783, 3972, 267, 2463, 267, 543, 513, 1978, 14246, 543, 29037, 257, 609, 2818, 540, 741, 1895, 786, 581, 811, 2500, 563, 4263, 827, 519, 1482, 942, 267, 519, 8433, 540, 21864, 7896, 2919, 513, 1184, 540, 4879, 1759, 593, 519, 4505, 960, 540, 25371, 602, 3769, 519, 6268, 540, 1875, 2275, 4321, 267, 607, 1134, 607, 5042, 267, 5759, 269, 3509, 540, 519, 7516, 6027, 538, 4879, 7740, 1287, 543, 1631, 4125, 1514, 543, 3929, 21941, 971, 607, 2792, 267, 8417, 267, 11036, 267, 543, 14375, 1983, 563, 296, 1223, 13712, 824, 22204, 540, 1382, 543, 3069, 267, 855, 594, 1589, 621, 568, 2312, 602, 676, 519, 2038, 521, 267, 972, 729, 513, 1279, 2245, 540, 1382, 593, 519, 1909, 540, 1875, 2275, 4321, 2188, 538, 4543, 1004, 547, 8011, 538, 1312, 1272, 543, 519, 9036, 269, 634, 1699, 960, 593, 3929, 4987, 13976, 593, 713, 5748, 563, 28757, 9314, 538, 519, 13445, 1879, 6428, 913, 344, 543, 2904, 518, 22579, 519, 2165, 3929, 4987, 703, 30750, 941, 3222, 540, 519, 3105, 960, 593, 1875, 2275, 4321, 3344, 540, 4987, 269, 6428, 913, 344, 543, 2904, 518, 849, 15748, 513, 1382, 1982, 5497, 547, 1020, 4570, 3800, 540, 3929, 4987, 543, 547, 2263, 922, 4644, 563, 2690, 3236, 267, 789, 1336, 538, 835, 1353, 602, 950, 513, 1895, 540, 1004, 4718, 606, 13347, 1154, 4670, 267, 1346, 945, 20639, 1164, 593, 3929, 9355, 799, 568, 519, 2702, 547, 2697, 543, 2285, 513, 2012, 547, 513, 7099, 602, 568, 1373, 4810, 16626, 811, 3533, 563, 294, 1961, 2006, 729, 513, 2257, 5856, 585, 519, 1715, 3840, 8648, 267, 4171, 10726, 729, 2634, 543, 2623, 1382, 269, 1261, 1185, 1044, 8036, 607, 513, 18673, 693, 12370, 1141, 646, 5249, 609, 6424, 15966, 548, 961, 663, 267, 1851, 1866, 563, 18250, 290, 548, 961, 663, 729, 1851, 513, 3395, 1895, 540, 3173, 945, 941, 4742, 7255, 609, 875, 2370, 2757, 4255, 540, 5042, 4987, 5143, 721, 827, 1018, 621, 3217, 547, 581, 3811, 538, 1272, 269, 21842, 676, 3294, 568, 711, 513, 1360, 1434, 27667, 540, 2816, 2773, 9950, 591, 2094, 519, 8313, 540, 12253, 717, 1961, 2006, 779, 1101, 1433, 593, 519, 1888, 538, 2073, 3929, 4987, 814, 1831, 835, 540, 519, 29224, 18388, 6919, 538, 9746, 3013, 563, 2690, 741, 23032, 1788, 4371, 676, 681, 8379, 4563, 9440, 693, 519, 3203, 4741, 5441, 540, 5071, 267, 9858, 918, 5942, 543, 12253, 1185, 547, 6451, 606, 8818, 602, 26779, 1480, 4664, 609, 519, 1523, 540, 1514, 13033, 563, 763, 1267, 540, 713, 3635, 729, 519, 27919, 1523, 269, 634, 6049, 568, 1031, 538, 269, 570, 299, 282, 11403, 281, 27919, 568, 519, 1034, 1271, 5578, 596, 666, 2259, 269, 898, 786, 1291, 547, 3152, 1967, 13948, 543, 24015, 543, 786, 1450, 596, 547, 1831, 18668, 519, 811, 596, 2259, 269, 6641, 15797, 9247, 10522, 513, 4743, 540, 6284, 540, 1776, 779, 7092, 1247, 6568, 568, 2965, 4687, 1776, 779, 7092, 267, 952, 1152, 1649, 15924, 335, 2129, 548, 2593, 344, 568, 1419, 6353, 607, 519, 2702, 547, 968, 1584, 13951, 883, 1776, 685, 10887, 9731, 3383, 6568, 568, 513, 4514, 3929, 1995, 269, 8616, 585, 519, 3483, 540, 10442, 519, 1764, 543, 9295, 540, 6568, 547, 606, 8665, 781, 8404, 630, 663, 585, 10442, 6568, 781, 31344, 1275, 585, 5837, 6530, 1070, 621, 568, 1271, 547, 10646, 1063, 1585, 3344, 540, 3929, 14775, 547, 1776, 1268, 563, 299, 871, 540, 6568, 267, 4061, 267, 568, 835, 16315, 540, 2175, 899, 24431, 3469, 7209, 4524, 543, 27640, 1170, 2065, 7209, 4524, 563, 1103, 1840, 267, 585, 2790, 1072, 4648, 971, 607, 16293, 267, 2348, 6568, 585, 7218, 568, 606, 1271, 851, 540, 3811, 2126, 269, 0, 3519, 322, 1047, 1686, 540, 2257, 1299, 8798, 2433, 606, 11609, 942, 1899, 1315, 12995, 676, 808, 8432, 517, 2696, 323, 731, 563, 29910, 267, 667, 5861, 269, 2433, 2817, 22127, 6902, 2037, 7615, 2433, 23255, 6182, 454, 7818, 16318, 30663, 276, 4510, 277, 630, 327, 321, 330, 4700, 2433, 476, 16318, 30663, 276, 4510, 280, 630, 327, 321, 330, 4700, 10778, 1607, 2140, 2488, 513, 942, 1899, 540, 8037, 3621, 7835, 267, 10781, 543, 18563, 2429, 1480, 1686, 269, 898, 568, 6896, 547, 1397, 19320, 543, 4205, 1063, 17407, 267, 4529, 267, 543, 2477, 865, 602, 519, 5467, 12034, 2621, 1624, 1005, 8195, 538, 782, 4529, 543, 782, 2694, 540, 519, 1158, 563, 31134, 533, 269, 2433, 2192, 269, 6902, 476, 2764, 4699, 563, 5825, 619, 945, 22666, 713, 2140, 849, 22666, 454, 8448, 10643, 676, 519, 2278, 0, 763, 12800, 32009, 13364, 616, 513, 1362, 540, 13364, 1369, 519, 717, 3491, 12888, 13745, 13805, 15988, 13637, 269, 4256, 14270, 1343, 616, 1634, 607, 12800, 27546, 610, 1439, 665, 27767, 27546, 4470, 593, 2436, 789, 2097, 689, 5007, 610, 4835, 630, 754, 18100, 264, 2959, 267, 6606, 630, 1692, 27451, 1696, 620, 269, 476, 1220, 273, 1040, 7736, 665, 27767, 27546, 4196, 607, 954, 14978, 20188, 3190, 12310, 267, 15202, 6675, 602, 616, 5950, 689, 835, 1591, 543, 19334, 519, 12800, 32009, 13364, 1459, 593, 824, 2281, 563, 290, 27767, 32009, 1826, 476, 272, 630, 290, 289, 272, 264, 13364, 630, 294, 20482, 731, 1696, 620, 269, 476, 1960, 271, 264, 616, 2219, 547, 581, 519, 1034, 4922, 6829, 717, 3491, 12888, 13745, 13364, 538, 519, 2634, 267, 9641, 267, 6797, 543, 14401, 269, 7736, 665, 27767, 27546, 5950, 689, 519, 1244, 6897, 1242, 22813, 12622, 547, 25553, 272, 13364, 538, 519, 840, 1606, 2106, 25443, 22813, 543, 2014, 513, 5786, 538, 717, 29866, 5305, 563, 290, 289, 273, 13364, 630, 300, 684, 549, 1696, 620, 269, 476, 1960, 274, 264, 616, 5631, 6829, 593, 570, 2281, 540, 519, 4761, 1062, 267, 593, 31457, 543, 645, 2281, 267, 543, 538, 22104, 641, 16211, 2045, 2281, 269, 7351, 1382, 5267, 602, 891, 13364, 1404, 513, 1909, 538, 562, 665, 823, 1632, 267, 610, 519, 8226, 540, 1928, 563, 13828, 13364, 262, 2534, 568, 25358, 676, 23993, 547, 519, 717, 3940, 13672, 1775, 270, 334, 1016, 22780, 267, 799, 29620, 20722, 344, 569, 331, 7814, 848, 630, 289, 537, 629, 537, 5055, 1696, 620, 269, 476, 1960, 276, 267, 7345, 1168, 3558, 1696, 620, 269, 476, 1960, 276, 1916, 294, 11266, 4649, 568, 15181, 676, 2030, 12800, 27546, 543, 519, 1439, 665, 27767, 27546, 476, 273, 268, 541, 778, 573, 517, 1195, 331, 9848, 1356, 565, 630, 273, 5025, 294, 264, 543, 606, 663, 29524, 630, 288, 12788, 1070, 3056, 547, 10372, 602, 621, 1058, 581, 26948, 25553, 274, 269, 1717, 717, 11266, 4649, 814, 849, 1044, 4080, 607, 513, 13805, 585, 700, 18444, 543, 922, 12045, 476, 273, 5025, 571, 577, 573, 517, 1195, 331, 1606, 333, 3766, 22318, 334, 268, 274, 14428, 6664, 7765, 657, 20738, 269, 476, 273, 5025, 294, 25907, 547, 519, 25553, 272, 543, 25553, 273, 13364, 609, 2147, 25505, 267, 9117, 607, 513, 2407, 30748, 626, 269, 0, 15368, 923, 538, 30200, 14409, 910, 5450, 810, 476, 1704, 9947, 476, 1001, 279, 3267, 476, 1556, 281, 280, 269, 14502, 1239, 281, 12729, 10265, 8302, 1341, 17680, 3960, 569 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3194, 267, 945, 4927, 2482, 519, 1482, 1354, 12057, 267, 952, 1287, 9361, 267, 610, 267, 952, 711, 267, 1287, 1369, 8938, 14633, 2395, 1310, 519, 30134, 618, 540, 519, 1985, 1671, 5224, 8400, 563, 1428, 269, 630, 328, 264, 634, 1715, 10215, 4659, 2920, 267, 476, 5002, 279, 267, 519, 1715, 10215, 4659, 14821, 2920, 267, 476, 4350, 271, 267, 3296, 5722, 540, 519, 16010, 2920, 267, 476, 4572, 276, 267, 543, 3296, 5722, 540, 519, 16010, 2920, 267, 476, 4350, 272, 630, 5591, 269, 476, 273, 264, 616, 1934, 2421, 4735, 4705, 563, 23870, 264, 2060, 2463, 547, 1346, 15357, 906, 519, 1739, 14074, 4927, 4019, 281, 1765, 454, 5416, 264, 2353, 20499, 543, 824, 6411, 540, 6392, 799, 12090, 896, 1022, 540, 519, 1767, 15357, 906, 610, 1022, 15357, 618, 7551, 4735, 4705, 267, 543, 616, 7449, 12371, 610, 538, 3196, 593, 519, 30134, 618, 540, 713, 2920, 4927, 679, 675, 585, 519, 5301, 540, 713, 2920, 607, 4628, 543, 1198, 1302, 607, 952, 789, 1185, 12090, 896, 519, 7222, 14074, 540, 713, 2920, 267, 543, 9935, 4927, 267, 1141, 2556, 267, 581, 16363, 547, 723, 865, 12090, 563, 6357, 264, 2353, 6042, 1500, 676, 519, 8274, 540, 5041, 832, 540, 519, 1715, 10215, 4659, 896, 1022, 540, 519, 1767, 15357, 906, 543, 538, 3196, 5612, 1354, 519, 8429, 540, 713, 2920, 4927, 3136, 538, 3196, 607, 3652, 896, 713, 2920, 2394, 29567, 610, 2847, 12097, 896, 713, 2920, 563, 6262, 264, 2353, 6927, 543, 18659, 862, 10642, 896, 1022, 540, 519, 1767, 15357, 906, 543, 533, 2056, 610, 538, 3356, 593, 519, 30134, 618, 540, 713, 2920, 949, 581, 4797, 267, 6192, 267, 543, 24451, 896, 713, 2920, 563, 31702, 264, 2353, 8100, 538, 1022, 824, 2920, 547, 519, 1715, 10215, 4659, 610, 519, 8274, 540, 5041, 832, 267, 610, 519, 5518, 610, 21470, 6261, 637, 1211, 23476, 6606, 267, 4927, 1934, 12898, 581, 16363, 585, 782, 5301, 547, 581, 543, 4927, 581, 1224, 607, 8100, 547, 519, 5980, 610, 519, 7027, 610, 519, 5518, 610, 21470, 6261, 637, 1211, 540, 519, 5980, 267, 607, 519, 2013, 949, 2154, 269, 0, 291, 600, 1329, 670, 1009, 779, 24794, 8826, 14266, 693, 5507, 781, 570, 622, 7073, 16668, 5176, 3368, 513, 2929, 8436, 269, 4014, 621, 5828, 856, 972, 941, 5230, 9271, 269, 634, 19922, 3081, 476, 280, 267, 1822, 17984, 5747, 1282, 513, 476, 2537, 22173, 2196, 540, 519, 21088, 1397, 563, 3080, 540, 670, 1009, 779, 1034, 1271, 2038, 13144, 267, 968, 1103, 543, 4934, 540, 11146, 5608, 12286, 5215, 540, 2661, 17984, 267, 543, 729, 1500, 909, 540, 1079, 1568, 3254, 689, 4989, 476, 275, 268, 5181, 476, 280, 563, 1103, 519, 18519, 909, 560, 4202, 4055, 267, 9341, 17984, 7153, 689, 7782, 2801, 7923, 547, 3043, 13556, 666, 341, 1162, 269, 26540, 543, 4006, 1216, 13087, 873, 547, 8038, 267, 19898, 543, 2482, 5798, 2394, 789, 5747, 269, 670, 1009, 779, 2034, 10380, 12286, 1395, 5255, 4435, 17953, 10367, 609, 519, 4703, 540, 4666, 17984, 6378, 883, 519, 5862, 563, 763, 476, 5325, 4458, 6040, 7376, 1031, 9341, 17984, 689, 519, 26449, 543, 4477, 6625, 3780, 2249, 602, 666, 2661, 585, 909, 547, 8370, 3275, 538, 741, 2067, 7226, 269, 8409, 12286, 693, 519, 14266, 27333, 15068, 585, 1063, 513, 1906, 3108, 543, 1896, 2395, 563, 10527, 17984, 5030, 856, 519, 3803, 3942, 540, 741, 2067, 1272, 4783, 3330, 713, 4055, 269, 27051, 476, 6110, 17984, 941, 5189, 883, 519, 8858, 936, 519, 1576, 540, 1142, 3018, 267, 609, 1082, 11981, 3476, 1272, 21269, 982, 538, 519, 3552, 1813, 547, 519, 1164, 2298, 540, 713, 1604, 2223, 513, 570, 622, 22557, 2006, 6045, 269, 968, 763, 17984, 1031, 538, 713, 1496, 295, 1009, 316, 960, 941, 782, 21433, 689, 18019, 5177, 18173, 8075, 543, 941, 5697, 689, 8677, 1634, 547, 8853, 538, 519, 2175, 2813, 2223, 519, 22557, 2006, 3773, 563, 763, 9576, 5980, 585, 519, 10644, 540, 14265, 601, 1399, 547, 12292, 814, 18562, 1232, 3072, 519, 7972, 540, 519, 17984, 563, 29467, 1131, 581, 3084, 856, 322, 787, 952, 519, 14266, 3238, 1022, 824, 3662, 267, 971, 607, 513, 2915, 269, 3807, 1317, 621, 568, 17984, 267, 602, 1281, 711, 1611, 789, 798, 711, 17330, 547, 581, 5701, 609, 11587, 2223, 513, 22557, 2006, 585, 519, 681, 9915, 7563, 1767, 563, 295, 1009, 1500, 1010, 2012, 607, 519, 17082, 540, 513, 16356, 12873, 538, 6101, 24957, 267, 543, 12624, 543, 4132, 667, 22866, 267, 513, 10800, 543, 513, 28419, 30000, 538, 3368, 543, 10268, 538, 4837, 13688, 4904, 609, 6101, 24957, 267, 799, 4465, 519, 25306, 16101, 538, 476, 1960, 276, 269, 634, 3703, 7376, 6045, 646, 968, 339, 3072, 547, 1118, 513, 6476, 1063, 1148, 543, 1272, 538, 519, 909, 560, 4202, 543, 1524, 560, 4202, 19698, 267, 513, 21173, 3364, 547, 798, 950, 538, 519, 1439, 621, 779, 782, 1148, 1848, 0, 21026, 8241, 6481, 11595, 5980, 5549, 2171, 2125, 924, 585, 519, 14044, 7467, 454, 294, 718, 7685, 540, 519, 14044, 7467, 454, 288, 5299, 540, 519, 8523, 3144, 676, 674, 14979, 333, 540, 3004, 1122, 518, 538, 476, 4572, 279, 11744, 519, 1101, 29465, 5925, 267, 1261, 568, 5665, 513, 2849, 572, 1883, 454, 9199, 1122, 518, 729, 16994, 593, 1210, 17919, 7895, 1023, 543, 593, 519, 476, 1704, 628, 5437, 476, 4572, 279, 519, 4583, 29465, 11718, 267, 799, 3812, 476, 5197, 24311, 9823, 585, 519, 11896, 10824, 267, 729, 30792, 538, 1520, 11253, 728, 267, 543, 674, 14979, 333, 3576, 519, 4583, 8523, 563, 9199, 1122, 518, 849, 2919, 513, 2189, 1826, 23116, 799, 10736, 5022, 883, 5651, 572, 3009, 269, 901, 729, 513, 1630, 517, 547, 519, 5651, 572, 7302, 718, 1263, 539, 13896, 269, 1452, 1098, 576, 1392, 1223, 4309, 519, 16253, 676, 5639, 7658, 21620, 10299, 676, 519, 811, 3532, 3490, 10473, 269, 20865, 5036, 4553, 454, 291, 19342, 610, 4620, 1503, 9141, 18402, 3177, 1379, 585, 519, 1098, 576, 1392, 538, 3677, 7740, 267, 13067, 652, 1737, 338, 1031, 519, 29465, 11718, 630, 1150, 3033, 1916, 11039, 12873, 1383, 540, 606, 2038, 3004, 1122, 518, 1098, 576, 1853, 538, 519, 7705, 25951, 681, 5263, 306, 7467, 609, 5651, 572, 1883, 543, 5651, 572, 1826, 23116, 563, 30952, 2203, 540, 3004, 1122, 518, 1098, 576, 1853, 570, 306, 274, 5827, 540, 476, 273, 1259, 7658, 21620, 454, 288, 476, 274, 26910, 3004, 1122, 518, 1098, 576, 1853, 1826, 476, 4375, 24603, 676, 519, 13474, 654, 558, 839, 5948, 547, 1004, 538, 991, 538, 6552, 2127, 269, 898, 729, 13324, 676, 513, 476, 277, 18699, 1291, 14092, 573, 6007, 1210, 476, 277, 18699, 5845, 2354, 17901, 1299, 513, 5854, 1807, 609, 513, 6439, 8595, 547, 3132, 519, 606, 1712, 6453, 563, 25387, 1031, 3937, 693, 519, 5800, 4864, 320, 16674, 9169, 5925, 3490, 269, 0, 1607, 2376, 6799, 4808, 585, 6801, 1222, 11250, 630, 10499, 299, 543, 5254, 299, 264, 538, 519, 4259, 563, 1805, 1513, 4721, 3001, 693, 11250, 5488, 982, 602, 540, 1769, 723, 1079, 4122, 1031, 8100, 585, 741, 3432, 269, 2290, 568, 3586, 267, 610, 524, 267, 799, 568, 519, 3020, 6482, 540, 519, 3432, 540, 1769, 269, 898, 568, 10199, 476, 5908, 267, 1822, 5195, 829, 2034, 267, 610, 476, 4968, 267, 1822, 267, 1822, 7397, 829, 2034, 538, 513, 3945, 10840, 563, 763, 824, 1455, 4082, 568, 513, 6482, 538, 3845, 936, 942, 267, 519, 8752, 20204, 270, 14737, 1393, 267, 610, 11430, 8276, 269, 5637, 723, 741, 5383, 267, 519, 524, 1373, 519, 3169, 1259, 547, 2268, 2773, 538, 513, 20248, 2953, 4259, 630, 7945, 607, 519, 6928, 22347, 3827, 799, 616, 22991, 1500, 264, 543, 519, 11430, 8276, 267, 799, 568, 1655, 585, 1554, 3562, 6377, 12445, 269, 898, 568, 11430, 8276, 799, 666, 581, 3362, 1031, 547, 5173, 875, 1279, 621, 3217, 547, 1205, 689, 1448, 968, 288, 892, 547, 1448, 968, 289, 9731, 2026, 971, 267, 1312, 616, 1031, 538, 519, 6801, 1222, 19169, 267, 2356, 519, 524, 6482, 1101, 609, 519, 11430, 8276, 5612, 26063, 538, 2385, 4185, 269, 898, 568, 3044, 2259, 547, 1305, 606, 11430, 8276, 3432, 1101, 543, 1287, 17589, 513, 524, 3432, 689, 621, 267, 865, 602, 519, 11430, 8276, 3432, 568, 811, 1134, 17031, 269, 19227, 596, 949, 2842, 909, 609, 930, 21372, 4137, 799, 568, 9875, 547, 5173, 950, 3843, 547, 3313, 15096, 2951, 942, 563, 27237, 292, 281, 634, 1964, 540, 713, 851, 666, 581, 1236, 5792, 952, 596, 1810, 1405, 991, 547, 1174, 519, 2601, 585, 519, 11344, 1297, 269, 8844, 547, 519, 1985, 16144, 8094, 763, 11344, 1297, 729, 1336, 676, 1210, 891, 2596, 1106, 27909, 912, 347, 7712, 6323, 23403, 602, 15580, 568, 20028, 5258, 676, 5384, 630, 681, 815, 546, 1315, 512, 476, 13211, 272, 19693, 568, 476, 272, 8752, 20204, 5258, 676, 476, 272, 5729, 269, 630, 524, 815, 11430, 1315, 586, 12467, 263, 569, 30819, 264, 1315, 476, 18458, 269, 1839, 815, 630, 569, 27473, 994, 263, 569, 27473, 264, 1315, 476, 2190, 815, 630, 569, 10774, 712, 994, 263, 569, 10774, 712, 264, 1315, 476, 2568, 815, 630, 569, 8276, 994, 4913, 267, 2864, 982, 12270, 1614, 2053, 267, 835, 666, 798, 713, 912, 18458, 269, 1839, 2608, 476, 2190, 2608, 476, 2568, 815, 476, 30589, 267, 31634, 454, 17798, 519, 11344, 1297, 269, 634, 13642, 7089, 666, 581, 1031, 547, 2047, 6460, 1063, 524, 543, 11430, 8276, 609, 835, 2241, 6498, 610, 8691, 5106, 563, 763, 4238, 585, 14291, 1063, 524, 543, 11430, 8276, 616, 2241, 609, 519, 13642, 7089, 563, 322, 547, 11430, 8276, 454, 322, 1315, 476, 30589, 267, 31634, 815, 630, 569, 8276, 994, 569, 8276, 547, 524, 454, 263, 569, 8276, 264, 2608, 476, 30589, 267, 31634, 815, 524, 454, 2690, 6671, 674, 26950, 27668, 1949, 267, 513, 1283, 3432, 540, 10199, 476, 736, 267, 1822, 322, 568, 5227, 269, 901, 568, 10199, 476, 271, 269, 19740, 279, 11430, 8276, 267, 610, 476, 273, 269, 274, 11430, 10774, 712, 269, 1280, 16784, 2861, 674, 26950, 27668, 267, 519, 3077, 5021, 3432, 568, 10199, 476, 25628, 267, 1822, 322, 267, 610, 476, 271, 269, 277, 11430, 8276, 269, 901, 568, 849, 476, 3607, 11430, 10774, 563, 11693, 602, 621, 568, 4443, 547, 2285, 11430, 10774, 1759, 11250, 585, 519, 14887, 3631, 267, 11430, 10774, 949, 1831, 513, 1455, 6482, 538, 519, 2104, 267, 6508, 8806, 676, 14921, 519, 11430, 8276, 3432, 676, 513, 3815, 540, 476, 2568, 563, 9827, 4063, 602, 891, 616, 519, 2362, 1439, 11250, 269, 10815, 2919, 12977, 786, 723, 1256, 14887, 8043, 269, 12989, 568, 513, 3349, 540, 12049, 781, 4998, 5468, 563, 347, 8138, 2775, 27668, 1475, 24092, 2029, 19038, 3363, 1475, 28723, 2029, 19038, 3363, 1475, 25802, 11628, 2029, 2008, 24820, 2071, 1475, 271, 269, 5611, 322, 1475, 271, 269, 273, 322, 1475, 271, 269, 1839, 322, 630, 10619, 267, 280, 4366, 5998, 829, 2034, 10245, 347, 24137, 1475, 271, 269, 18597, 322, 1475, 271, 269, 274, 322, 630, 8660, 267, 280, 4391, 5998, 829, 2034, 10534, 271, 269, 23841, 322, 630, 12208, 267, 32455, 5998, 829, 2034, 10245, 347, 4504, 571, 1606, 2448, 674, 26950, 27668, 1475, 24092, 2029, 19038, 3363, 1475, 28723, 2029, 19038, 3363, 1475, 25802, 11628, 2029, 2008, 347, 4504, 571, 3613, 15362, 674, 1245, 27668, 1475, 24092, 2029, 19038, 3363, 1475, 28723, 2029, 19038, 3363, 1475, 25802, 11628, 2029, 2008, 16085, 869, 1475, 271, 269, 1428, 11430, 8276, 1475, 271, 269, 273, 11430, 8276, 1475, 271, 269, 1839, 11430, 8276, 2008, 24820, 2071, 1475, 271, 269, 274, 11430, 8276, 1475, 271, 269, 275, 11430, 8276, 1475, 271, 269, 276, 11430, 8276, 2008, 347, 24137, 1475, 271, 269, 3393, 11430, 8276, 1475, 271, 269, 277, 11430, 8276, 1475, 271, 269, 4037, 11430, 8276, 2008, 300, 26090, 8043, 786, 2356, 723, 1732, 12123, 2053, 543, 17259, 9832, 3379, 547, 19742, 8043, 563, 4306, 299, 11250, 1058, 581, 11540, 538, 519, 12043, 7396, 1934, 4427, 2775, 17726, 23586, 563, 5278, 2175, 666, 1860, 674, 26950, 8244, 543, 11250, 269, 6423, 281, 14640, 6363, 26950, 12197, 454, 18455, 2111, 547, 6460, 5265, 568, 1271, 267, 607, 24380, 814, 8612, 513, 6999, 547, 2936, 1312, 524, 543, 11430, 8276, 883, 22347, 3827, 538, 519, 2104, 269, 901, 1062, 786, 2061, 6959, 689, 9648, 538, 519, 2104, 267, 607, 519, 2025, 1259, 540, 24758, 1063, 524, 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 ]
[ 2560, 476, 17734, 9986, 332, 267, 476, 272, 269, 276, 330, 302, 27476, 267, 9625, 276, 330, 5291, 2517, 4178, 4318, 321, 599, 2593, 270, 527, 332, 270, 12208, 15946, 277, 4029, 279, 5325, 454, 268, 7117, 1399, 269, 476, 273, 476, 271, 269, 272, 579, 325, 1395, 18070, 1698, 5291, 2517, 4178, 4318, 321, 599, 2593, 270, 527, 332, 270, 21857, 278, 4817, 4281, 272, 280, 2918, 454, 268, 7117, 1399, 269, 476, 273, 476, 274, 7825, 6519, 630, 528, 9791, 264, 27178, 5291, 2517, 4178, 4318, 321, 599, 2593, 270, 527, 332, 270, 25834, 275, 5038, 271, 4792, 19442, 454, 268, 7117, 1399, 269, 476, 273, 476, 274, 269, 276, 7825, 1912, 517, 334, 795, 2931, 5291, 2517, 4178, 4318, 321, 599, 2593, 270, 527, 332, 270, 4391, 272, 6812, 280, 2735, 279, 2767, 454, 268, 7117, 1399, 269, 476, 273, 476, 13136, 18860, 1379, 6882, 19218, 454, 268, 623, 3591, 1834, 6529, 454, 8448, 7727, 596, 949, 581, 17596, 454, 2918, 8615, 5911, 4396, 610, 476, 2190, 8615, 18843, 539, 267, 585, 12406, 543, 1341, 309, 454, 2420, 8615, 5911, 4396, 267, 585, 19215, 454, 300, 4593, 281, 4421, 1359, 7727, 267, 11746, 267, 3905, 15441, 267, 1486, 19685, 2645, 563, 4785, 289, 547, 570, 26950, 20303, 5291, 2517, 4178, 4318, 321, 599, 2593, 270, 527, 332, 270, 28434, 4097, 279, 4366, 275, 280, 5379, 454, 288, 8305, 334, 13544, 547, 1921, 606, 1274, 4062, 267, 547, 581, 2386, 711, 547, 4413, 19670, 10618, 269, 4746, 513, 15409, 10584, 18041, 1223, 581, 4448, 547, 621, 563, 763, 1507, 630, 274, 6515, 264, 3043, 10896, 568, 18593, 269, 594, 3773, 621, 547, 4196, 607, 606, 10396, 13525, 269, 898, 729, 2241, 547, 1039, 607, 594, 29040, 621, 2066, 645, 339, 333, 272, 799, 568, 2016, 930, 5397, 1699, 689, 606, 4835, 759, 3563, 630, 349, 4391, 330, 1040, 2060, 971, 2370, 5397, 713, 10896, 1590, 581, 513, 1164, 3608, 835, 269, 589, 3039, 610, 6148, 513, 4544, 10896, 1223, 581, 1031, 855, 711, 5835, 610, 2699, 607, 741, 6453, 6749, 568, 1932, 1970, 543, 1131, 1118, 621, 1413, 899, 519, 7735, 568, 20399, 269, 594, 1131, 711, 946, 3039, 607, 602, 2681, 568, 6382, 1031, 585, 15202, 1344, 563, 763, 13093, 334, 13544, 949, 849, 581, 31360, 269, 901, 3926, 1281, 711, 1118, 513, 2603, 540, 6846, 267, 855, 952, 596, 616, 7255, 827, 19788, 519, 3007, 540, 1866, 267, 1287, 621, 2488, 519, 4781, 540, 1210, 606, 1274, 6049, 269, 10201, 2299, 513, 4062, 540, 1085, 582, 577, 11746, 936, 519, 8559, 585, 8301, 568, 2500, 563, 2414, 1118, 782, 519, 7403, 2653, 543, 4977, 267, 594, 2731, 899, 713, 20522, 1608, 23803, 269, 5291, 2517, 4178, 4318, 321, 599, 2593, 270, 527, 332, 270, 28434, 15150, 2412, 279, 3199, 275, 454, 3721, 476, 273, 281, 29740, 14330, 308, 268, 2784, 1470, 4427, 17882, 454, 21010, 2110, 12904, 547, 14330, 308, 20382, 281, 476, 1015, 267, 476, 1556, 267, 476, 1321, 267, 476, 1724, 282, 513, 5420, 3259, 5911, 547, 8930, 273, 563, 11754, 1279, 630, 275, 268, 276, 6279, 264, 547, 519, 594, 23860, 20382, 267, 540, 519, 14330, 308, 267, 547, 581, 1031, 630, 335, 1231, 281, 476, 274, 268, 280, 1040, 594, 1031, 476, 1789, 32217, 294, 15378, 543, 1114, 4778, 585, 15672, 2010, 269, 901, 1507, 8006, 5911, 568, 5827, 540, 7829, 519, 6786, 602, 616, 1447, 982, 476, 1911, 1984, 3554, 1186, 267, 2943, 621, 568, 7899, 1507, 543, 726, 4192, 2614, 630, 261, 3810, 5227, 264, 547, 8897, 9395, 10198, 563, 9827, 1921, 513, 12406, 543, 513, 966, 764, 12904, 630, 296, 1031, 476, 2918, 8615, 267, 789, 616, 519, 4544, 3283, 538, 519, 6337, 1040, 1452, 5911, 11438, 811, 1699, 865, 946, 513, 1804, 15378, 547, 2569, 6453, 6749, 630, 663, 1761, 6846, 5365, 5982, 1916, 21010, 519, 14330, 308, 609, 519, 16674, 300, 268, 7597, 4604, 269, 2353, 855, 519, 1279, 12904, 979, 547, 621, 563, 293, 1245, 519, 5925, 4604, 1524, 936, 519, 14330, 308, 4604, 269, 1703, 1058, 581, 1100, 2110, 338, 1063, 519, 12545, 269, 1403, 972, 5526, 547, 581, 513, 1483, 1761, 540, 513, 2110, 946, 606, 18060, 532, 4062, 540, 11746, 610, 5068, 6656, 563, 11754, 519, 19215, 5911, 630, 2420, 268, 2190, 8615, 269, 476, 3199, 7825, 264, 5196, 519, 5925, 4604, 267, 607, 2938, 538, 519, 8666, 563, 3721, 476, 274, 281, 4886, 13281, 454, 2690, 707, 6388, 540, 891, 4559, 596, 666, 18178, 713, 3296, 269, 1280, 1346, 602, 616, 5461, 713, 3947, 513, 2370, 811, 1344, 593, 875, 594, 3893, 972, 563, 288, 476, 26528, 5951, 3259, 585, 476, 280, 1428, 300, 13703, 568, 476, 11025, 7825, 269, 634, 27910, 325, 684, 2593, 5850, 2303, 1210, 476, 4281, 7825, 269, 594, 1174, 602, 19215, 10509, 3081, 950, 519, 19215, 568, 1369, 513, 476, 16006, 5951, 3259, 540, 3618, 2666, 707, 19215, 786, 957, 899, 621, 568, 9625, 276, 260, 3476, 982, 621, 568, 269, 1306, 585, 476, 280, 1428, 300, 327, 345, 602, 1131, 581, 1447, 982, 513, 3723, 543, 7363, 596, 7500, 713, 1770, 1454, 2362, 689, 519, 2666, 982, 602, 267, 594, 14962, 713, 476, 4281, 7825, 3259, 269, 1703, 616, 2705, 824, 2188, 799, 1223, 2014, 2147, 2360, 632, 25977, 621, 8797, 547, 946, 14758, 982, 4010, 476, 26528, 5951, 27480, 269, 594, 723, 19847, 543, 723, 2759, 1250, 19215, 12904, 547, 476, 3199, 7825, 2698, 630, 10175, 519, 3296, 2469, 998, 519, 20111, 1040, 2060, 519, 1697, 1449, 3937, 596, 1223, 1732, 11126, 707, 19215, 3259, 585, 707, 1770, 267, 855, 594, 1131, 2503, 1152, 5634, 9283, 563, 5475, 11941, 594, 3893, 827, 476, 7742, 332, 3193, 2039, 609, 930, 9465, 269, 15332, 2161, 476, 5611, 332, 519, 19215, 781, 10066, 543, 2990, 2968, 811, 543, 811, 1271, 563, 2691, 594, 1705, 946, 513, 2407, 16702, 1961, 1826, 19215, 12122, 630, 320, 7299, 476, 3199, 7825, 3742, 3693, 6587, 513, 1524, 15738, 476, 3199, 7825, 2666, 5911, 3693, 264, 585, 835, 1770, 594, 3893, 267, 609, 4693, 543, 5470, 17568, 267, 909, 547, 476, 6110, 7397, 609, 1896, 4054, 543, 513, 2777, 538, 1063, 267, 543, 4396, 476, 273, 17574, 862, 693, 476, 16006, 602, 3845, 28000, 540, 519, 6552, 4559, 2990, 610, 10066, 563, 3721, 476, 275, 281, 16259, 5741, 13340, 454, 763, 4070, 540, 713, 1788, 1210, 513, 1507, 4216, 568, 3833, 4101, 269, 594, 723, 519, 1995, 540, 2679, 1082, 1082, 2688, 5907, 575, 714, 15879, 585, 1753, 267, 2872, 267, 543, 23825, 3785, 269, 8734, 823, 949, 2864, 946, 513, 3677, 8708, 4216, 267, 1818, 4070, 1454, 4443, 269, 2991, 782, 621, 568, 18399, 649, 616, 3168, 585, 267, 711, 17140, 269, 31641, 310, 267, 596, 949, 5469, 5634, 3604, 538, 519, 6337, 540, 519, 4559, 594, 3710, 563, 27662, 856, 1454, 540, 519, 3330, 540, 519, 4216, 269, 2422, 513, 669, 529, 601, 610, 2473, 19840, 334, 17180, 547, 2759, 1055, 1079, 28937, 593, 519, 1318, 543, 835, 593, 519, 2451, 269, 630, 5408, 519, 8666, 540, 519, 3330, 540, 513, 4216, 1354, 543, 1310, 994, 28959, 909, 519, 1439, 540, 606, 2473, 19840, 334, 610, 1612, 532, 17180, 630, 1721, 9625, 1428, 7643, 1210, 513, 14402, 264, 543, 2759, 1055, 519, 835, 2462, 2022, 267, 3330, 519, 2013, 267, 543, 22485, 519, 824, 1079, 547, 827, 476, 272, 270, 279, 10759, 269, 4495, 594, 15841, 519, 6467, 594, 24268, 1346, 1079, 2022, 2614, 547, 3180, 519, 6467, 538, 1747, 563, 296, 1031, 9633, 532, 11746, 593, 519, 4216, 547, 1665, 8559, 6753, 269, 6423, 6337, 1657, 563, 1103, 1931, 547, 1832, 519, 17656, 540, 519, 9475, 593, 1665, 267, 594, 1101, 6825, 519, 9634, 609, 1448, 540, 513, 546, 691, 267, 1287, 1743, 2683, 782, 6753, 609, 513, 476, 272, 270, 1626, 628, 3787, 267, 1287, 6368, 1743, 2683, 1142, 8559, 547, 922, 5551, 2450, 563, 7804, 650, 519, 9475, 585, 519, 16181, 267, 8301, 543, 27178, 538, 519, 2013, 269, 634, 1079, 9475, 585, 519, 1292, 27178, 267, 593, 1283, 267, 616, 476, 1724, 270, 5038, 892, 630, 276, 7825, 264, 543, 616, 476, 1015, 7825, 689, 519, 6316, 269, 634, 9475, 585, 519, 8301, 630, 2041, 788, 1532, 340, 3960, 518, 264, 543, 519, 18593, 968, 4002, 892, 3366, 616, 476, 272, 270, 279, 892, 630, 274, 7825, 1040, 1358, 616, 476, 1015, 7825, 689, 519, 1283, 269, 634, 1507, 3366, 568, 476, 278, 7825, 689, 519, 2427, 269, 634, 8301, 8559, 568, 10704, 2427, 547, 2427, 269, 634, 9475, 585, 519, 16181, 267, 593, 519, 2427, 267, 616, 476, 280, 270, 1626, 892, 630, 274, 269, 276, 7825, 1040, 2290, 7735, 568, 476, 1015, 7825, 689, 519, 1283, 267, 519, 824, 476, 736, 7825, 269, 594, 581, 767, 539, 519, 3330, 540, 519, 7735, 9475, 267, 676, 1688, 267, 609, 513, 476, 272, 270, 275, 892, 16590, 3787, 267, 547, 948, 2327, 519, 16181, 1131, 711, 1205, 12758, 1524, 950, 20399, 563, 2252, 596, 2811, 1210, 513, 13093, 334, 13544, 585, 5007, 30069, 610, 10584, 267, 596, 991, 547, 1930, 519, 840, 25365, 8559, 593, 519, 5377, 547, 476, 1428, 270, 5038, 6100, 634, 1570, 1934, 568, 2864, 5394, 543, 3274, 3843, 547, 16590, 621, 856, 1131, 1267, 538, 513, 8559, 1932, 2673, 547, 519, 6316, 269, 1924, 267, 1101, 16590, 513, 476, 272, 270, 1626, 8559, 267, 609, 922, 4099, 827, 835, 476, 1626, 628, 10759, 689, 519, 6316, 540, 519, 4540, 8559, 269, 3973, 23822, 602, 8559, 609, 513, 476, 278, 270, 1626, 892, 3787, 269, 2060, 513, 8325, 1507, 16405, 630, 349, 311, 716, 334, 264, 2759, 2476, 1570, 865, 602, 519, 1079, 7755, 334, 1456, 9475, 616, 10199, 835, 269, 2422, 513, 667, 8145, 601, 18700, 678, 5684, 610, 513, 3731, 2766, 3758, 865, 602, 519, 9475, 3029, 513, 1134, 5180, 8559, 267, 602, 513, 16590, 3787, 786, 3362, 4099, 538, 269, 634, 8559, 1058, 3592, 581, 476, 1428, 270, 5038, 628, 693, 713, 1448, 269, 630, 2467, 568, 513, 8666, 540, 519, 8559, 693, 713, 1448, 264, 3767, 16590, 621, 856, 609, 513, 476, 1428, 270, 5038, 892, 3787, 269, 898, 1131, 711, 581, 1412, 295, 528, 12288, 262, 952, 596, 946, 513, 476, 26528, 3787, 563, 3721, 476, 276, 281, 5900, 2286, 3131, 8327, 531, 594, 23860, 22020, 454, 6826, 2386, 950, 4421, 1359, 1369, 519, 32604, 540, 519, 2013, 602, 596, 1810, 1405, 538, 30541, 1836, 1450, 1022, 851, 540, 519, 4401, 547, 5905, 543, 3976, 15835, 513, 6712, 540, 519, 4216, 267, 2523, 2059, 922, 9018, 6316, 563, 307, 871, 1524, 519, 16181, 609, 513, 1507, 2179, 540, 15441, 1247, 17568, 873, 269, 12182, 15441, 568, 15528, 267, 6094, 15441, 630, 3697, 2706, 15441, 264, 1522, 1118, 922, 1259, 883, 519, 7735, 1818, 621, 538, 6016, 762, 269, 8074, 602, 594, 1185, 6569, 835, 1850, 547, 1142, 540, 519, 16181, 630, 516, 706, 526, 656, 3283, 267, 594, 729, 711, 8220, 547, 5148, 18761, 873, 865, 789, 1705, 711, 6529, 856, 1932, 1454, 282, 543, 4448, 519, 1079, 2539, 8930, 1063, 519, 16181, 269, 634, 16181, 616, 13883, 971, 602, 519, 24323, 4448, 7953, 616, 23276, 6587, 1142, 824, 563, 289, 754, 519, 5012, 540, 476, 274, 7825, 968, 517, 270, 4752, 892, 10896, 865, 602, 621, 666, 581, 4448, 2066, 645, 339, 333, 272, 267, 922, 30932, 2469, 547, 519, 2666, 2427, 269, 901, 568, 5310, 519, 8945, 5006, 10198, 3390, 563, 15812, 519, 2427, 540, 519, 27178, 1985, 547, 519, 2699, 606, 1712, 269, 12338, 519, 1079, 606, 3941, 630, 719, 2515, 264, 5012, 547, 827, 476, 26528, 10759, 269, 7259, 622, 873, 609, 519, 6825, 630, 1042, 264, 1291, 909, 269, 23680, 519, 4099, 1291, 1279, 267, 1358, 616, 2663, 18761, 936, 547, 1921, 547, 519, 2666, 2427, 540, 519, 16181, 269, 28582, 547, 6337, 563, 16920, 778, 519, 759, 8651, 563, 10673, 1405, 3274, 946, 519, 1871, 759, 8651, 602, 594, 1705, 585, 519, 27178, 269, 594, 11751, 1250, 27178, 811, 982, 513, 1296, 3516, 267, 711, 4010, 519, 3283, 7396, 1657, 269, 1306, 10896, 4398, 9775, 7494, 267, 1449, 759, 3563, 2418, 585, 946, 609, 707, 538, 1688, 27178, 269, 17292, 759, 8651, 585, 519, 21386, 596, 1616, 609, 513, 5397, 6453, 540, 476, 274, 547, 476, 274, 269, 274, 24311, 630, 274, 269, 273, 341, 9053, 1040, 1280, 513, 1449, 3761 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 20784, 4179, 2517, 3863, 3052, 603, 889, 12528, 20880, 2593, 270, 12709, 11119, 270, 13318, 718, 8276, 2120, 270, 13318, 718, 11075, 264, 4840, 13425, 519, 5851, 11119, 10380, 563, 21547, 1504, 1160, 281, 349, 3593, 259, 1786, 342, 4534, 11437, 5851, 11119, 476, 272, 269, 278, 269, 278, 5851, 11119, 10774, 727, 11119, 2275, 648, 630, 326, 527, 14469, 476, 271, 2767, 2641, 282, 2063, 3479, 476, 1001, 279, 268, 1015, 268, 2641, 264, 5851, 11119, 10774, 727, 11119, 2275, 2532, 630, 326, 527, 14469, 476, 275, 321, 22396, 282, 2063, 3479, 476, 1001, 279, 268, 1015, 268, 2420, 264, 5839, 1504, 1160, 281, 349, 3593, 259, 1786, 342, 4387, 2659, 1062, 568, 4712, 547, 1786, 342, 269, 5839, 1504, 1160, 281, 349, 3593, 14204, 763, 7387, 3977, 1397, 602, 5851, 11119, 4528, 476, 272, 269, 278, 269, 278, 568, 8704, 593, 519, 1062, 543, 602, 596, 616, 4712, 547, 1786, 342, 799, 1797, 602, 596, 616, 4712, 547, 3888, 3301, 563, 4415, 5851, 11119, 10189, 9614, 596, 723, 1569, 547, 513, 2647, 2039, 540, 3301, 602, 666, 581, 8704, 593, 707, 1062, 269, 2991, 5851, 11119, 814, 1044, 8704, 593, 707, 1062, 596, 1265, 5851, 11119, 896, 454, 270, 23591, 15828, 5914, 270, 12709, 11119, 593, 707, 1062, 563, 1103, 6240, 267, 5851, 11119, 1114, 28179, 1063, 11759, 12229, 13268, 1137, 267, 6348, 4211, 648, 12229, 13268, 1137, 543, 865, 10777, 595, 2532, 4433, 1040, 1452, 12229, 13268, 1137, 616, 2139, 538, 27707, 29878, 3115, 21627, 1559, 610, 865, 1572, 24135, 4433, 1916, 290, 648, 12229, 13268, 1137, 616, 1863, 3301, 2919, 689, 9367, 1472, 519, 1158, 547, 581, 8704, 593, 5839, 13013, 5867, 1210, 5851, 11119, 269, 11759, 3301, 786, 581, 8704, 1759, 593, 865, 1572, 1106, 27909, 269, 589, 4542, 2270, 519, 2596, 10189, 4214, 543, 2995, 5851, 11119, 1775, 4318, 269, 875, 513, 10189, 1058, 581, 8704, 269, 901, 1611, 513, 4542, 540, 513, 1978, 3301, 10189, 2270, 519, 2838, 1344, 585, 519, 10380, 971, 607, 1775, 4318, 269, 689, 1141, 519, 10380, 6119, 1058, 581, 16041, 267, 799, 29444, 2291, 543, 875, 519, 10380, 1058, 581, 5340, 593, 519, 1114, 5839, 5867, 269, 2353, 1106, 27909, 585, 11759, 12229, 13268, 1137, 723, 1044, 16041, 689, 5851, 11119, 781, 27707, 29878, 11759, 7304, 788, 12141, 6874, 777, 5851, 11119, 10774, 727, 11119, 2275, 648, 883, 454, 270, 23591, 15828, 5914, 270, 12709, 11119, 13624, 3869, 20081, 2355, 10774, 727, 11119, 10774, 727, 11119, 2275, 648, 270, 13528, 3121, 517, 707, 3684, 563, 2005, 568, 849, 2009, 602, 12229, 666, 581, 8704, 609, 5851, 11119, 855, 519, 4542, 568, 711, 2139, 593, 5851, 11119, 781, 27707, 29878, 11759, 7304, 788, 12141, 6874, 777, 269, 3973, 649, 3717, 540, 6348, 4211, 648, 12229, 13268, 1137, 1317, 891, 12229, 13268, 1137, 616, 711, 454, 339, 777, 263, 539, 264, 883, 519, 5851, 11119, 11759, 7304, 788, 12141, 6874, 777, 269, 769, 713, 2013, 596, 1590, 1101, 454, 339, 777, 519, 6348, 4211, 648, 7304, 788, 12141, 6874, 777, 547, 1577, 5851, 11119, 917, 689, 1141, 621, 1058, 4452, 519, 4542, 547, 3888, 519, 3301, 10189, 563, 290, 2532, 3301, 610, 454, 290, 3696, 616, 5065, 5839, 13013, 29393, 899, 5616, 24904, 267, 32288, 2135, 610, 824, 5065, 5839, 13013, 29393, 602, 666, 581, 849, 8704, 1210, 519, 5851, 11119, 13268, 720, 15440, 269, 2353, 2139, 595, 3696, 547, 3888, 5839, 13013, 5065, 29393, 723, 1044, 16041, 689, 5851, 11119, 781, 27707, 29878, 28483, 5851, 11119, 10774, 727, 11119, 2275, 2532, 883, 454, 2414, 1205, 606, 7650, 799, 7148, 4433, 264, 616, 4867, 5532, 547, 707, 5851, 11119, 12305, 566, 946, 555, 552, 31742, 532, 4971, 563, 303, 6222, 802, 5336, 21990, 281, 349, 1273, 4459, 259, 1786, 342, 7148, 1753, 11119, 11305, 2532, 1753, 11119, 11305, 648, 1753, 11119, 4882, 26236, 544, 784, 617, 321, 270, 11119, 454, 12709, 11119, 1711, 1623, 31904, 585, 1142, 8704, 10189, 538, 454, 270, 23591, 15828, 5914, 24800, 543, 1623, 15062, 519, 4143, 9352, 269, 15394, 713, 1623, 15062, 786, 1448, 547, 454, 270, 23591, 15828, 5914, 14727, 15362, 270, 283, 17569, 720, 12173, 285, 270, 283, 11437, 285, 270, 16535, 855, 621, 666, 849, 581, 9170, 3116, 593, 707, 1062, 563, 3149, 910, 331, 1315, 23591, 15828, 5914, 24800, 912, 21547, 1504, 1160, 281, 349, 3593, 259, 561, 338, 910, 331, 1315, 23591, 15828, 5914, 24800, 2698, 476, 271, 561, 337, 342, 343, 337, 14870, 337, 14870, 476, 272, 3593, 14721, 476, 2764, 476, 1556, 8734, 476, 1001, 277, 1786, 342, 9847, 1315, 23591, 15828, 5914, 270, 12709, 11119, 24800, 270, 11119, 561, 337, 342, 343, 337, 14870, 337, 14870, 476, 272, 3593, 14721, 476, 4097, 476, 272, 8734, 476, 1001, 278, 524, 9492, 820, 9847, 10371, 270, 290, 15362, 30763, 820, 270, 274, 269, 280, 269, 275, 318, 272, 24800, 270, 764, 24708, 561, 337, 342, 343, 337, 14870, 337, 14870, 476, 272, 3593, 14721, 476, 3451, 476, 272, 8734, 476, 1001, 278, 4699, 820, 9847, 10371, 270, 290, 15362, 30763, 820, 270, 274, 269, 280, 269, 275, 318, 272, 24800, 30763, 820, 561, 337, 342, 343, 337, 14870, 337, 14870, 476, 272, 3593, 14721, 476, 4375, 476, 272, 8734, 476, 1001, 278, 4699, 820, 343, 28265, 9847, 10371, 270, 290, 15362, 30763, 820, 270, 274, 269, 280, 269, 275, 318, 272, 24800, 30763, 820, 343, 28265, 561, 337, 342, 343, 337, 14870, 337, 14870, 476, 272, 3593, 14721, 476, 3451, 476, 272, 8734, 476, 1001, 278, 524, 17569, 9847, 10371, 270, 290, 15362, 30763, 820, 270, 274, 269, 280, 269, 275, 318, 272, 24800, 11305, 17569, 561, 337, 342, 343, 337, 14870, 337, 14870, 476, 272, 3593, 14721, 476, 6078, 476, 1626, 1546, 345, 476, 1001, 277, 6939, 652, 20216, 324, 9847, 10371, 270, 290, 15362, 11305, 7973, 31463, 270, 276, 269, 277, 269, 276, 24800, 11305, 7973, 652, 20216, 324, 561, 337, 342, 343, 337, 14870, 337, 14870, 476, 272, 3593, 14721, 476, 3451, 476, 272, 8734, 476, 1001, 278, 524, 11687, 9847, 10371, 270, 290, 15362, 30763, 820, 270, 274, 269, 280, 269, 275, 318, 272, 24800, 270, 551, 652, 561, 337, 342, 343, 337, 14870, 337, 14870, 476, 272, 3593, 14721, 476, 3953, 476, 272, 8734, 476, 1001, 278, 859, 332, 9847, 10371, 270, 290, 15362, 270, 564, 1877, 636, 270, 272, 269, 278, 269, 273, 24800, 270, 5271, 332, 23099, 2483, 12709, 11119, 10189, 9614, 9352, 568, 3957, 1786, 342, 543, 1623, 15062, 539, 547, 454, 270, 23591, 15828, 5914, 270, 12709, 11119, 24800, 270, 11119, 269, 634, 5851, 11119, 10189, 568, 8704, 538, 454, 270, 23591, 15828, 5914, 270, 12709, 11119, 901, 568, 519, 1747, 593, 707, 1062, 1141, 5851, 11119, 568, 8704, 563, 21547, 1504, 1160, 281, 349, 3593, 259, 561, 338, 910, 331, 1315, 23591, 15828, 5914, 270, 12709, 11119, 2698, 476, 5038, 910, 337, 342, 8573, 734, 337, 734, 476, 272, 3593, 14721, 476, 7176, 476, 1626, 1546, 345, 476, 1001, 277, 8863, 20315, 5085, 8104, 6230, 323, 910, 337, 342, 8573, 734, 337, 734, 476, 272, 3593, 14721, 476, 22332, 272, 476, 272, 8734, 476, 1001, 278, 2910, 14701, 318, 29996, 318, 25321, 291, 308, 6311, 6230, 323, 910, 337, 342, 8573, 734, 337, 734, 476, 272, 3593, 14721, 476, 279, 2767, 476, 280, 744, 19241, 476, 5881, 281, 4343, 28132, 6020, 289, 308, 16249, 6230, 323, 910, 337, 342, 8573, 734, 337, 734, 476, 272, 3593, 14721, 476, 15836, 275, 476, 272, 8734, 476, 1001, 278, 700, 2975, 2894, 10345, 17902, 1743, 342, 343, 337, 14870, 337, 14870, 476, 278, 3593, 14721, 476, 23470, 476, 280, 744, 19241, 476, 5881, 281, 4343, 7732, 910, 337, 342, 8573, 734, 337, 734, 476, 272, 3593, 14721, 476, 279, 5325, 272, 476, 280, 744, 19241, 476, 5881, 281, 4343, 30426, 10933, 6230, 323, 910, 337, 342, 8573, 734, 337, 734, 476, 272, 3593, 14721, 476, 279, 4200, 476, 280, 744, 19241, 476, 5881, 281, 4343, 20842, 675, 1790, 760, 3894, 269, 2096, 331, 1743, 342, 343, 337, 14870, 337, 14870, 476, 274, 3593, 14721, 476, 9834, 476, 280, 744, 19241, 476, 5881, 281, 4343, 10822, 1743, 342, 343, 337, 14870, 337, 14870, 476, 276, 3593, 14721, 476, 8182, 476, 272, 8734, 476, 1001, 278, 1264, 339, 687, 1743, 342, 343, 337, 14870, 337, 14870, 476, 5392, 3593, 14721, 476, 14444, 279, 476, 280, 744, 19241, 476, 5881, 281, 4343, 2703, 338, 1743, 342, 343, 337, 14870, 337, 14870, 476, 276, 3593, 14721, 476, 8182, 476, 280, 744, 19241, 476, 5881, 281, 4343, 812, 335, 1137, 454, 9827, 519, 1623, 31904, 689, 824, 15004, 602, 596, 3888, 609, 5851, 11119, 723, 1044, 2813, 538, 454, 270, 23591, 15828, 5914, 24800, 15682, 543, 1623, 15062, 539, 883, 454, 270, 23591, 15828, 5914, 14727, 15362, 270, 2807, 634, 8426, 541, 568, 519, 1747, 593, 707, 1062, 1141, 596, 2356, 1265, 5851, 11119, 8704, 3301, 15004, 563, 2026, 596, 1294, 593, 1250, 1062, 594, 723, 8704, 513, 7008, 540, 3301, 15004, 899, 5818, 267, 4699, 820, 267, 6843, 855, 849, 29751, 334, 799, 568, 1250, 11979, 3896, 1024, 15249, 563, 21547, 1504, 1160, 281, 349, 3593, 259, 561, 338, 910, 331, 1315, 23591, 15828, 5914, 14727, 15362, 2698, 476, 271, 1743, 342, 343, 337, 14870, 337, 14870, 476, 275, 3593, 14721, 476, 12553, 476, 272, 8734, 476, 1001, 278, 5818, 1743, 342, 343, 337, 14870, 337, 14870, 476, 275, 3593, 14721, 476, 12553, 476, 272, 8734, 476, 1001, 278, 4699, 820, 1743, 342, 343, 337, 14870, 337, 14870, 476, 274, 3593, 14721, 476, 9834, 476, 1626, 1546, 345, 476, 1001, 277, 6939, 31463, 1743, 342, 343, 337, 14870, 337, 14870, 476, 276, 3593, 14721, 476, 8182, 476, 272, 8734, 476, 1001, 278, 552, 20273, 1743, 342, 343, 337, 14870, 337, 14870, 476, 275, 3593, 14721, 476, 12553, 476, 272, 8734, 476, 1001, 278, 575, 5404, 1743, 342, 343, 337, 14870, 337, 14870, 476, 276, 3593, 14721, 476, 8182, 476, 272, 8734, 476, 1001, 278, 979, 1743, 342, 343, 337, 14870, 337, 14870, 476, 275, 3593, 5234, 476, 12553, 476, 277, 744, 19241, 476, 5881, 281, 1626, 29751, 334, 1743, 342, 343, 337, 14870, 337, 14870, 476, 274, 3593, 5234, 476, 9834, 476, 274, 4119, 476, 6187, 281, 4366, 9079, 340, 275, 322, 1743, 342, 343, 337, 14870, 337, 14870, 476, 275, 3593, 14721, 476, 12553, 476, 272, 8734, 476, 1001, 278, 795, 5459, 322, 653, 1743, 342, 343, 337, 14870, 337, 14870, 476, 275, 3593, 5234, 476, 12553, 476, 280, 744, 19241, 476, 5881, 281, 4375, 6843, 1743, 342, 343, 337, 14870, 337, 14870, 476, 274, 3593, 14721, 476, 9834, 476, 1321, 8734, 476, 1001, 278, 10741, 16435, 1743, 342, 343, 337, 14870, 337, 14870, 476, 275, 3593, 14721, 476, 12553, 476, 272, 8734, 476, 1001, 278, 4396, 640, 454, 2414, 3888, 4542, 609, 5851, 11119, 547, 707, 1062, 946, 519, 4971, 563, 11119, 3888, 2999, 845, 3121, 11417, 2414, 796, 13318, 718, 513, 4542, 689, 707, 1062, 3274, 946, 519, 4971, 563, 11119, 796, 13318, 718, 2999, 845, 3121, 11417, 5475, 10380, 519, 3301, 10189, 2291, 538, 519, 8426, 541, 563, 5575, 596, 9337, 782, 1106, 27909, 543, 595, 3696, 1210, 519, 1739, 4971, 563, 528, 952, 596, 1616, 547, 9337, 1152, 513, 1808, 4542, 454, 11119, 9337, 2999, 845, 3121, 11417, 10190, 596, 22010, 782, 707, 3301, 15004, 1210, 519, 1739, 4971, 563, 528, 952, 596, 1616, 547, 22010, 1152, 513, 1808, 4542, 454, 11119, 22010, 2999, 845, 3121, 11417, 763, 22010, 4971, 3888, 338, 18960, 3301, 8747, 540, 782, 15004, 538, 519, 8426, 541, 269, 13689, 593, 519, 2179, 540, 15004, 596, 723, 8704, 713, 1522, 1491, 930, 942, 563, 290, 2532, 3301, 568, 8704, 538, 519, 1739, 15682, 563, 303, 6222, 802, 5336, 21990, 281, 349, 1273, 4459, 259, 561, 338, 910, 331, 1315, 23591, 15828, 5914, 14727, 2532, 3336, 2698, 476, 271, 1743, 342, 343, 337, 14870, 337, 14870, 476, 275, 1273, 4459, 14721, 476, 12553, 476, 1556, 9947, 476, 6021, 281, 876, 22968, 454, 5804, 519, 3977, 1657, 596, 666, 1294, 602, 594, 8704, 513, 717, 21397, 3301, 10189, 609, 519, 948, 540, 5851, 11119, 269, 898, 568, 519, 28709, 11422, 563, 763, 10380, 3217, 1747, 538, 519, 1739, 2619, 454, 270, 23591, 15828, 5914, 14727, 2532, 3336, 270, 283, 17569, 720, 12173, 285, 270, 283, 11437, 285, 270, 283, 1910, 6447, 1074, 20101, 634, 1623, 15062, 1448 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4452, 4436, 543, 7969, 9635, 2048, 810, 1279, 607, 6304, 538, 8050, 5170, 9957, 293, 2393, 16694, 476, 2918, 769, 519, 15489, 540, 476, 4350, 278, 267, 2705, 267, 972, 729, 513, 3126, 540, 1134, 1790, 3016, 2213, 8320, 540, 546, 1442, 619, 32222, 547, 796, 2903, 5545, 9635, 543, 524, 1173, 3996, 538, 3162, 600, 17980, 267, 631, 26680, 321, 893, 543, 5507, 12171, 2393, 16694, 476, 2767, 2201, 1142, 8317, 8043, 941, 5828, 2476, 267, 1454, 547, 519, 6161, 711, 1152, 540, 519, 11288, 3549, 267, 855, 849, 540, 519, 3560, 4600, 685, 9769, 630, 307, 261, 294, 310, 308, 264, 799, 15189, 547, 1118, 519, 3527, 4013, 269, 634, 546, 1442, 619, 941, 17794, 2213, 593, 519, 19382, 267, 855, 941, 6038, 9678, 543, 267, 538, 930, 2665, 267, 3109, 4289, 539, 676, 12820, 269, 4634, 865, 267, 621, 568, 29810, 602, 2500, 4853, 2962, 729, 2009, 936, 3624, 267, 855, 729, 711, 936, 8050, 12171, 2393, 16694, 476, 2764, 634, 2048, 18872, 532, 685, 540, 9635, 9467, 609, 30473, 781, 8050, 7283, 513, 11397, 3804, 585, 605, 7304, 788, 3016, 534, 5859, 619, 6306, 689, 538, 11108, 6381, 269, 9747, 267, 538, 519, 1655, 8153, 2013, 267, 602, 540, 519, 9399, 6931, 7559, 267, 3703, 25501, 15189, 547, 13743, 519, 6077, 547, 30473, 781, 8050, 1317, 922, 18535, 540, 6491, 6233, 1522, 723, 1044, 1031, 538, 519, 5478, 540, 14885, 1161, 12171, 2393, 16694, 476, 3066, 10738, 930, 4123, 18787, 17740, 1218, 1256, 3576, 5413, 540, 1489, 585, 2962, 936, 3624, 547, 22962, 21368, 547, 1331, 7569, 585, 513, 7911, 22574, 540, 30473, 781, 8050, 12171, 2393, 16694, 476, 1789, 1879, 7066, 341, 528, 853, 718, 731, 267, 519, 21340, 945, 3366, 519, 7911, 22574, 538, 3162, 600, 17980, 267, 729, 26906, 538, 476, 2735, 273, 646, 27416, 519, 2048, 1410, 322, 1746, 267, 17740, 656, 267, 18512, 7099, 685, 1851, 1010, 8284, 546, 1442, 619, 281, 2048, 2467, 941, 3527, 538, 1489, 540, 17044, 8050, 607, 1134, 607, 519, 7911, 22574, 540, 5545, 5370, 9957, 293, 2393, 16694, 476, 4029, 1717, 267, 1152, 519, 2962, 538, 1489, 540, 3624, 4547, 1713, 2164, 563, 763, 9757, 5107, 540, 519, 5053, 543, 4457, 19366, 2950, 538, 17604, 960, 616, 849, 17709, 540, 6476, 269, 1703, 729, 267, 540, 1576, 267, 606, 1271, 11984, 547, 581, 6537, 1063, 513, 3540, 2112, 543, 513, 3084, 6560, 585, 6668, 269, 634, 4457, 2146, 538, 6628, 729, 8087, 543, 20834, 2213, 676, 519, 2112, 609, 3567, 1107, 24903, 267, 607, 2760, 1354, 610, 2094, 269, 3509, 13348, 5328, 14540, 16204, 836, 909, 267, 6131, 547, 19493, 8323, 538, 3624, 267, 799, 4547, 1927, 1870, 5443, 267, 1053, 543, 30921, 269, 589, 3226, 3742, 1895, 10356, 1472, 7905, 32264, 15651, 267, 606, 608, 6150, 9097, 945, 5129, 513, 3844, 1909, 538, 519, 595, 6717, 267, 543, 519, 4457, 4646, 513, 7298, 267, 952, 10169, 8589, 267, 4527, 693, 605, 16644, 2088, 678, 718, 625, 12171, 2393, 16694, 476, 3953, 14880, 7581, 1375, 6707, 21821, 539, 519, 1489, 540, 519, 4457, 2146, 538, 700, 830, 5264, 1282, 519, 546, 1442, 619, 685, 7911, 22574, 5859, 12171, 2393, 16694, 476, 3451, 1635, 6476, 267, 4352, 972, 729, 513, 1804, 5053, 2146, 538, 6628, 1107, 5818, 539, 676, 15076, 1107, 621, 729, 7184, 5258, 543, 1705, 711, 1404, 971, 513, 3844, 1909, 538, 519, 5859, 269, 9315, 858, 781, 8101, 5053, 2551, 267, 585, 1383, 267, 729, 2048, 20889, 1524, 519, 1647, 685, 593, 3515, 540, 1362, 543, 4984, 267, 1247, 5053, 13837, 31600, 18843, 539, 538, 3703, 16788, 941, 849, 20833, 5258, 12171, 2393, 16694, 476, 4097, 4014, 519, 5053, 21150, 29983, 3177, 513, 17122, 1448, 585, 605, 7304, 788, 3016, 534, 3310, 543, 18259, 267, 621, 729, 13934, 676, 606, 17615, 543, 1134, 30845, 30473, 626, 5859, 267, 2523, 2899, 519, 16099, 540, 1325, 9346, 729, 8704, 607, 519, 4013, 2048, 288, 7217, 685, 540, 30473, 781, 2427, 538, 4873, 476, 4350, 278, 12171, 2393, 16694, 476, 3374, 634, 11044, 585, 1312, 3624, 543, 8050, 941, 4299, 676, 519, 3703, 2229, 781, 2178, 267, 952, 711, 2141, 1256, 26370, 267, 25339, 618, 540, 2797, 17933, 676, 15076, 543, 8436, 267, 799, 849, 4294, 547, 519, 23267, 9549, 269, 634, 23267, 10554, 538, 5239, 476, 4350, 277, 1185, 1044, 2220, 26359, 547, 7947, 519, 3703, 2229, 781, 3609, 540, 1875, 17942, 3685, 538, 519, 5053, 6406, 2782, 1310, 606, 2375, 633, 4633, 676, 519, 5053, 24180, 1772, 8475, 632, 6022, 16780, 807, 269, 589, 1032, 2663, 17722, 3143, 601, 5174, 6033, 1135, 7019, 5828, 1524, 519, 2709, 540, 513, 4633, 676, 513, 9683, 4457, 4081, 593, 519, 12406, 602, 281, 2048, 933, 4927, 5310, 711, 3942, 513, 5870, 899, 602, 540, 519, 5053, 9992, 11189, 30896, 2063, 1032, 267, 1317, 649, 1589, 602, 621, 949, 723, 1732, 1198, 2390, 1857, 6644, 952, 649, 9772, 938, 21368, 1510, 3310, 689, 968, 1150, 793, 619, 892, 9957, 293, 2393, 16694, 476, 3607, 454, 288, 3791, 3017, 4145, 519, 2686, 13994, 1637, 540, 519, 4457, 543, 5053, 17044, 3123, 1369, 6628, 269, 8050, 267, 540, 1576, 267, 10150, 513, 1164, 1377, 540, 1489, 689, 3703, 30921, 267, 543, 5859, 619, 1223, 849, 2721, 593, 513, 6006, 540, 3532, 3308, 2592, 3177, 676, 17044, 5159, 543, 9070, 663, 1235, 269, 20266, 27591, 781, 2048, 10817, 1716, 3821, 685, 4298, 1042, 6628, 1063, 5239, 476, 4350, 279, 543, 5988, 476, 4350, 280, 267, 543, 13631, 5215, 540, 8436, 950, 621, 729, 17820, 693, 519, 6519, 577, 19125, 20155, 269, 11088, 267, 2705, 267, 519, 2686, 1764, 540, 519, 3540, 2112, 538, 6628, 1223, 581, 8954, 633, 269, 4675, 13024, 10645, 602, 519, 6243, 1185, 12873, 8050, 781, 7499, 6561, 689, 10546, 10514, 731, 618, 267, 855, 17837, 11329, 547, 519, 7372, 543, 20982, 9552, 540, 3909, 1148, 538, 519, 17044, 7997, 1282, 519, 6679, 3275, 540, 519, 2112, 12171, 2393, 16694, 476, 4391, 5047, 267, 519, 3540, 2112, 14626, 3660, 609, 15398, 13253, 538, 4550, 1922, 2444, 626, 7499, 10580, 1063, 519, 30642, 1235, 543, 15156, 540, 513, 811, 1463, 267, 1514, 1483, 626, 2511, 269, 1280, 3236, 267, 20266, 27591, 781, 20419, 6438, 1696, 4221, 2048, 291, 3195, 543, 17389, 540, 30473, 685, 729, 15280, 569, 16091, 676, 2451, 26310, 13915, 971, 607, 20900, 18671, 660, 585, 8806, 5356, 513, 5075, 540, 2048, 340, 1088, 612, 16897, 9957, 898, 729, 267, 2687, 547, 519, 4457, 7376, 10793, 16441, 267, 2048, 30138, 1447, 2649, 1043, 982, 717, 30377, 781, 960, 538, 3954, 10586, 540, 2112, 9957, 293, 2393, 16694, 476, 4343, 634, 4457, 2229, 267, 676, 4334, 267, 1185, 2919, 606, 2500, 4640, 540, 2048, 322, 8590, 23372, 685, 1282, 519, 476, 4350, 271, 338, 267, 293, 2393, 16694, 476, 4375, 799, 3746, 2213, 1312, 519, 25196, 540, 3624, 781, 3540, 5314, 543, 519, 2208, 267, 1282, 2487, 5756, 267, 540, 606, 1285, 15735, 569, 2413, 2528, 269, 901, 10058, 12760, 540, 2025, 543, 1007, 729, 9985, 22993, 538, 519, 25954, 540, 1483, 626, 3574, 12827, 1148, 607, 513, 14049, 538, 519, 4550, 11219, 17702, 6560, 269, 5047, 267, 538, 10793, 16441, 267, 519, 4457, 2014, 22234, 513, 3810, 2500, 3486, 2686, 5605, 26513, 269, 16441, 267, 513, 4759, 540, 519, 4457, 29563, 945, 3357, 689, 6404, 4457, 543, 2558, 514, 573, 6598, 2385, 720, 267, 1185, 19927, 1010, 4123, 607, 513, 8642, 7376, 538, 519, 8168, 5742, 269, 1261, 5249, 5702, 609, 519, 20551, 4139, 5948, 630, 288, 8656, 264, 538, 6628, 267, 543, 22555, 922, 2048, 4335, 271, 1296, 1762, 685, 14266, 540, 4457, 1148, 538, 5437, 476, 4350, 278, 269, 1261, 13604, 17820, 538, 8303, 543, 519, 2136, 2276, 267, 543, 538, 4873, 476, 4350, 279, 6192, 519, 4783, 676, 8744, 5053, 17044, 19297, 547, 581, 17820, 538, 22616, 517, 12171, 2393, 16694, 476, 2412, 1403, 4457, 2686, 18259, 26218, 519, 9043, 540, 922, 5053, 11218, 267, 621, 24903, 6829, 513, 811, 17396, 3308, 2511, 543, 606, 1256, 811, 1463, 2797, 5048, 563, 763, 8710, 540, 519, 5545, 26645, 24847, 21022, 1310, 519, 15489, 540, 476, 4350, 278, 267, 543, 519, 10761, 543, 23473, 540, 519, 9576, 15751, 8065, 28487, 729, 711, 13455, 269, 589, 595, 6717, 3377, 6656, 2663, 6376, 539, 602, 972, 1185, 1044, 513, 2048, 628, 18115, 540, 16897, 685, 693, 519, 1101, 19666, 6285, 267, 855, 267, 1631, 602, 789, 1185, 759, 25390, 267, 519, 3703, 2046, 729, 14980, 12171, 2393, 16694, 476, 6078, 769, 4873, 476, 4350, 280, 519, 3624, 4347, 775, 13477, 5360, 7134, 602, 519, 2487, 26645, 540, 519, 1007, 4457, 3854, 932, 2426, 6362, 630, 514, 799, 5215, 1185, 5747, 264, 1185, 1044, 30870, 609, 967, 29924, 1310, 519, 6285, 593, 715, 21403, 267, 2871, 1716, 3821, 543, 30209, 12171, 2393, 16694, 476, 5655, 11531, 32012, 885, 5645, 856, 676, 5545, 7980, 267, 971, 607, 519, 2048, 7275, 540, 715, 21403, 685, 538, 5412, 476, 4350, 278, 267, 941, 711, 4080, 609, 1022, 3178, 610, 6111, 538, 6628, 269, 6176, 630, 10175, 3750, 2914, 5893, 16499, 23888, 543, 1256, 4670, 22089, 264, 7153, 7444, 538, 519, 1576, 540, 476, 4350, 279, 267, 6922, 2358, 519, 1764, 269, 634, 12194, 827, 3624, 31083, 611, 12976, 8050, 941, 24847, 20328, 1107, 676, 519, 5614, 540, 476, 4350, 279, 519, 6161, 729, 602, 519, 2789, 16839, 538, 8050, 267, 15212, 543, 16231, 657, 21754, 25474, 941, 6028, 2370, 4055, 585, 3624, 269, 769, 4989, 267, 3627, 853, 2350, 30750, 1107, 519, 3703, 2451, 26310, 7214, 945, 1034, 4628, 15874, 519, 4644, 540, 3624, 1282, 519, 476, 4350, 271, 338, 1107, 21334, 539, 602, 538, 2487, 4374, 267, 2048, 2181, 31039, 609, 8050, 543, 6239, 2342, 8730, 646, 1185, 1577, 1010, 2048, 716, 8481, 593, 15773, 540, 3624, 17277, 883, 519, 4282, 9957, 1717, 267, 646, 10630, 602, 891, 14422, 949, 1134, 581, 4636, 267, 543, 602, 2394, 5063, 3624, 781, 4187, 1185, 7902, 547, 581, 519, 2048, 14683, 1448, 685, 538, 519, 6560, 1996, 3673, 1143, 12171, 2393, 16694, 476, 6246, 454, 2862, 4322, 1079, 11044, 941, 5693, 10562, 538, 519, 4550, 1922, 2444, 626, 20116, 540, 519, 1974, 543, 267, 693, 2053, 267, 3592, 20049, 762, 269, 8841, 717, 3326, 4545, 345, 267, 585, 3236, 267, 6035, 547, 2628, 476, 273, 270, 277, 323, 547, 2901, 5053, 610, 4457, 8323, 585, 1169, 1007, 4759, 540, 519, 19382, 3883, 11833, 630, 299, 6195, 264, 25945, 676, 513, 8630, 4759, 269, 5637, 7526, 941, 4843, 538, 1360, 2147, 2474, 281, 607, 513, 2048, 325, 2444, 626, 685, 14213, 593, 513, 8087, 1004, 267, 607, 2048, 15161, 781, 10617, 8730, 543, 1256, 607, 13720, 725, 1063, 3046, 8663, 1143, 543, 3540, 5314, 269, 769, 519, 1913, 540, 19382, 5623, 538, 5412, 476, 4350, 278, 281, 2048, 8967, 664, 543, 3624, 616, 938, 26035, 1547, 1547, 1547, 1018, 568, 1373, 10032, 972, 568, 711, 8806, 741, 2686, 10781, 267, 855, 851, 540, 519, 1455, 6561, 540, 782, 9082, 9957, 634, 27565, 9549, 6205, 11184, 5246, 756, 12245, 16429, 743, 1515, 5143, 14618, 538, 4728, 476, 4350, 279, 602, 2048, 933, 1294, 267, 998, 519, 30339, 540, 23038, 538, 3624, 543, 8050, 543, 519, 678, 22824, 540, 519, 13688, 538, 519, 10754, 540, 21499, 267, 519, 20352, 540, 606, 8944, 8375, 543, 1266, 5285, 532, 3540, 5314, 538, 1346, 2477, 9957, 293, 2393, 16694, 476, 4510, 589, 6085, 1500, 676, 513, 3703, 15321, 7674, 609, 519, 4139, 23394, 3547, 1107, 538, 513, 4357, 4484, 547, 1010, 7385, 602, 729, 18448, 539, 676, 3703, 4987, 1107, 1462, 5809, 713, 1935, 281, 2048, 763, 6560, 1996, 26812, 1143, 1934, 538, 8050, 543, 519, 4339, 540, 519, 4457, 1004, 1996, 5545, 14699, 538, 3624, 616, 519, 1034, 1271, 2798, 538, 519, 6560, 1996, 26812, 1143, 2429, 519, 1158, 9957, 293, 2393, 16694, 476, 3393, 8751, 654, 842, 2590, 5069, 267, 513, 5449, 19524, 540, 519, 3703, 10627, 30119, 267, 3576, 713, 3095, 720, 513, 1900, 2417, 950, 646, 5143, 1010, 3993, 538, 5147, 476, 4350, 278, 602, 281, 2048, 1103, 519, 15489, 649, 3513, 2973, 909, 713, 2112, 1496, 514, 8050, 316, 543, 1985, 5614, 594, 3513, 979, 547, 3624, 543, 7017, 1919, 972, 9957, 293, 2393, 16694, 476, 5379, 454, 8601, 713, 1256, 26370, 1145, 267, 2705, 267, 875, 2484, 1223, 519, 1079, 7526, 5963, 581, 1226, 730, 286, 1703, 568, 1100, 2243, 602, 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 ]
[ 5807, 513, 811, 8537, 29426, 5117, 563, 24728, 16735, 338, 543, 4804, 28805, 281, 25674, 2037, 4921, 585, 12618, 454, 24728, 32387, 543, 1565, 5624, 1404, 513, 11358, 1909, 538, 14637, 5647, 269, 16735, 338, 899, 1775, 29878, 538, 15057, 543, 595, 322, 29878, 538, 13280, 1683, 711, 1152, 2168, 5624, 585, 5698, 855, 849, 10891, 30023, 3292, 267, 11925, 267, 543, 13033, 2621, 269, 1452, 5054, 616, 2629, 585, 5807, 513, 6422, 5117, 20009, 547, 3102, 5578, 1646, 543, 2856, 29164, 563, 292, 6441, 792, 940, 15107, 13257, 543, 6732, 20043, 281, 29114, 1819, 585, 24573, 584, 658, 20126, 454, 19617, 2730, 2228, 5867, 2709, 6030, 4481, 2966, 547, 20741, 29426, 1983, 269, 15750, 2572, 899, 595, 2293, 5028, 543, 772, 323, 13369, 1683, 513, 2647, 5044, 540, 6030, 267, 689, 8193, 543, 3059, 6725, 547, 1870, 2359, 543, 8804, 269, 1452, 5867, 711, 1152, 18836, 7811, 1702, 855, 849, 2709, 4052, 4030, 543, 1483, 8996, 3156, 267, 30015, 14971, 11639, 609, 513, 11684, 5578, 1305, 563, 30025, 9024, 328, 2510, 25417, 7913, 17402, 281, 16949, 883, 4065, 7010, 454, 294, 4261, 906, 616, 8362, 10128, 3059, 7924, 883, 6101, 2069, 1949, 269, 15107, 13257, 899, 4000, 8943, 10432, 543, 10341, 275, 22152, 320, 1445, 593, 10962, 8193, 543, 5752, 883, 1153, 21195, 269, 3958, 267, 6608, 616, 24574, 1359, 609, 4357, 5823, 9988, 547, 1683, 7463, 2866, 3292, 267, 8600, 519, 6107, 585, 519, 3059, 7569, 540, 519, 9687, 2816, 2344, 543, 29426, 5251, 563, 22209, 7651, 584, 658, 12694, 543, 10298, 281, 28080, 9643, 8081, 8249, 454, 8139, 519, 2189, 2591, 5185, 676, 14971, 11639, 568, 2629, 585, 8888, 2500, 2069, 543, 5578, 1646, 3292, 269, 15107, 13257, 899, 23268, 560, 1513, 543, 25414, 4432, 636, 601, 340, 7690, 2709, 30023, 3292, 267, 6079, 7616, 3255, 267, 543, 5583, 593, 10188, 519, 6946, 14099, 540, 20835, 269, 1452, 2200, 1683, 6098, 1489, 547, 2232, 2591, 971, 607, 3908, 1569, 547, 7616, 543, 513, 3668, 540, 30023, 563, 19465, 513, 6820, 8416, 540, 29661, 281, 4139, 19662, 454, 19733, 543, 5578, 1646, 8831, 3564, 10923, 10665, 269, 9024, 328, 2510, 899, 2279, 22567, 11274, 543, 3399, 1575, 6182, 785, 6536, 4296, 1063, 3979, 11639, 543, 2518, 5121, 269, 1452, 5867, 711, 1152, 16616, 1762, 11639, 547, 3309, 5380, 855, 849, 1930, 9885, 547, 3486, 3255, 543, 21769, 267, 7393, 741, 13916, 543, 28211, 538, 519, 2518, 2344, 563, 763, 10020, 540, 6468, 538, 29661, 1222, 281, 29114, 1819, 8081, 585, 769, 12807, 454, 28444, 1005, 3160, 3255, 585, 782, 568, 513, 2629, 2460, 540, 16882, 269, 9024, 328, 2510, 899, 2701, 8048, 338, 4000, 543, 3979, 6468, 538, 15306, 1445, 593, 3246, 3358, 1489, 267, 30023, 267, 543, 2200, 547, 2232, 4008, 13103, 269, 1635, 8716, 543, 7175, 2021, 547, 9784, 20835, 267, 891, 3292, 3565, 547, 513, 811, 8537, 543, 3309, 29426, 5251, 267, 5807, 5647, 543, 2804, 2208, 563, 1103, 3932, 267, 713, 3391, 8711, 519, 13710, 1764, 540, 5571, 2069, 543, 5578, 1646, 7341, 593, 5935, 519, 2104, 540, 3979, 20835, 269, 1635, 16779, 519, 6107, 609, 519, 2556, 2645, 267, 1702, 267, 543, 1489, 267, 891, 3292, 711, 1152, 11349, 513, 1007, 5108, 540, 1870, 3401, 855, 849, 3565, 3648, 547, 2949, 2804, 1646, 543, 5647, 2066, 519, 11782, 269, 1306, 4000, 5170, 547, 9784, 519, 3059, 5736, 267, 10115, 538, 519, 2069, 543, 5578, 1646, 540, 922, 6107, 3788, 513, 4909, 543, 13710, 1900, 2509, 513, 25133, 543, 4264, 2104, 269, 0, 5804, 1920, 25752, 5979, 1682, 547, 1884, 2294, 15945, 547, 15882, 267, 1082, 4892, 2671, 606, 31117, 585, 1919, 602, 616, 5393, 2025, 269, 901, 2882, 812, 13402, 13742, 971, 607, 513, 476, 9873, 267, 1822, 4458, 6040, 4062, 540, 14446, 543, 2067, 882, 923, 971, 607, 519, 8093, 1242, 3788, 540, 513, 27526, 553, 553, 19653, 1336, 538, 4000, 5156, 547, 581, 519, 9510, 21300, 8093, 593, 3047, 563, 2190, 270, 278, 9931, 853, 269, 3091, 513, 19214, 693, 476, 2004, 540, 519, 9510, 1919, 538, 519, 1158, 269, 1284, 16432, 513, 3309, 1592, 267, 5373, 689, 2413, 8798, 971, 607, 26873, 547, 519, 9510, 1634, 5182, 267, 799, 2392, 919, 938, 1378, 4541, 676, 17542, 540, 1296, 563, 4407, 1686, 2835, 666, 2611, 7493, 267, 891, 882, 923, 2285, 721, 513, 15889, 32708, 883, 1776, 942, 269, 634, 2038, 13946, 10367, 267, 899, 519, 476, 2412, 267, 1822, 4458, 6040, 3283, 538, 4432, 10011, 21034, 267, 8050, 267, 3668, 930, 540, 519, 2663, 31465, 5133, 2553, 543, 5373, 2645, 269, 23897, 1343, 540, 1296, 2663, 267, 649, 1294, 519, 9998, 1383, 540, 8470, 10367, 267, 799, 616, 519, 24888, 547, 5929, 960, 689, 26719, 899, 20266, 27591, 543, 11709, 717, 26710, 563, 1103, 824, 2665, 267, 18495, 779, 1101, 8942, 693, 1148, 267, 10344, 267, 6189, 267, 543, 2575, 666, 581, 2901, 4190, 538, 741, 16134, 610, 11141, 538, 538, 741, 27265, 269, 634, 9998, 1634, 8523, 267, 12832, 2946, 874, 648, 15281, 2946, 335, 576, 779, 968, 8698, 689, 519, 32001, 693, 2274, 6182, 553, 2223, 3884, 1406, 513, 4190, 5251, 610, 513, 1093, 17257, 1413, 693, 513, 1641, 269, 1809, 13830, 519, 1101, 3239, 21490, 519, 1259, 585, 7357, 1007, 2081, 585, 1004, 547, 2769, 2933, 563, 8170, 1576, 267, 1082, 540, 519, 9510, 3688, 593, 3047, 798, 711, 16436, 1022, 7499, 2079, 1317, 789, 941, 2901, 1934, 1279, 1354, 8103, 729, 1472, 610, 1317, 789, 616, 6923, 2813, 269, 901, 2882, 519, 9510, 3529, 267, 799, 568, 936, 476, 276, 267, 1822, 1296, 2025, 267, 543, 519, 9510, 1634, 4224, 267, 799, 568, 5594, 4587, 982, 602, 2443, 676, 827, 476, 15996, 2929, 1296, 563, 2190, 270, 278, 9931, 853, 269, 12649, 3621, 13746, 267, 2594, 10655, 3906, 267, 14786, 267, 543, 824, 2959, 547, 2697, 519, 9510, 1634, 6221, 538, 1142, 540, 513, 1297, 540, 6688, 269, 10705, 267, 972, 568, 1447, 982, 513, 3140, 610, 3621, 13618, 607, 547, 799, 568, 519, 4890, 9510, 6221, 269, 1452, 616, 711, 8209, 519, 1101, 6221, 1500, 538, 513, 1880, 7121, 267, 2864, 267, 789, 616, 519, 9510, 17005, 4528, 563, 285, 6196, 652, 281, 634, 1546, 667, 542, 5174, 719, 517, 1696, 7066, 335, 731, 26919, 667, 657, 8584, 5937, 657, 29673, 14840, 12671, 267, 5487, 3057, 638, 1047, 454, 285, 20976, 1493, 11261, 281, 476, 6642, 275, 589, 6185, 563, 285, 19715, 281, 5333, 454, 291, 889, 5523, 968, 17442, 3057, 638, 1047, 2223, 713, 9252, 14617, 6174, 1869, 3252, 2221, 543, 568, 519, 1158, 779, 9510, 5665, 18914, 269, 634, 2185, 2914, 31856, 539, 15333, 1632, 267, 799, 729, 3710, 1282, 519, 16972, 5736, 585, 513, 3943, 18211, 4531, 520, 267, 568, 9280, 609, 513, 11489, 518, 3079, 540, 513, 8868, 543, 1223, 3914, 513, 1283, 3432, 540, 476, 4343, 5195, 829, 5662, 269, 5487, 3057, 638, 1047, 4465, 519, 1158, 779, 1101, 1286, 5198, 538, 476, 6642, 278, 269, 898, 729, 4421, 693, 25488, 538, 476, 1001, 272, 547, 606, 796, 24887, 23138, 538, 670, 619, 30750, 267, 14529, 1421, 585, 1269, 275, 269, 277, 2929, 563, 285, 6196, 652, 281, 27878, 323, 537, 731, 6441, 2946, 517, 8845, 632, 9410, 6807, 267, 968, 288, 340, 1849, 1515, 632, 3288, 700, 2317, 7536, 285, 20976, 1493, 11261, 281, 476, 5908, 271, 589, 6185, 563, 285, 19715, 281, 8303, 267, 5333, 454, 6624, 1004, 3494, 7338, 32525, 11827, 6592, 3280, 267, 855, 621, 5526, 602, 513, 3943, 23266, 3957, 27878, 323, 537, 731, 6441, 2946, 517, 8845, 1500, 519, 14634, 1896, 1296, 4505, 269, 8845, 31601, 1010, 13093, 2246, 1748, 538, 476, 6977, 278, 269, 898, 568, 5156, 602, 8845, 5128, 31025, 513, 851, 540, 519, 3943, 12563, 5152, 968, 288, 340, 1849, 1515, 632, 3288, 700, 2317, 892, 883, 1010, 3684, 538, 476, 5908, 271, 267, 2870, 519, 1101, 1634, 7574, 10916, 269, 8845, 779, 13093, 2246, 1748, 543, 19827, 14201, 1406, 4362, 676, 12206, 2394, 476, 1220, 278, 563, 285, 6196, 652, 281, 9478, 12832, 2946, 874, 648, 15281, 2946, 335, 576, 779, 968, 8698, 689, 519, 32001, 693, 2274, 6182, 553, 7536, 285, 20976, 1493, 11261, 281, 476, 9264, 277, 268, 9264, 278, 589, 6185, 563, 285, 19715, 281, 12142, 6441, 19281, 11546, 13305, 13873, 5886, 267, 5333, 454, 15987, 621, 779, 711, 607, 2312, 607, 519, 11147, 649, 1294, 2221, 267, 9478, 12832, 2946, 874, 648, 15281, 2946, 335, 576, 779, 968, 8698, 689, 519, 32001, 693, 2274, 6182, 553, 892, 729, 606, 27314, 1646, 538, 2029, 269, 6145, 569, 3144, 538, 476, 9264, 277, 610, 476, 9264, 278, 267, 519, 8666, 2982, 15281, 2946, 335, 576, 779, 10040, 538, 26990, 1495, 344, 267, 5333, 269, 15281, 2946, 335, 576, 2965, 9676, 1776, 3239, 538, 476, 9264, 273, 267, 855, 1010, 968, 515, 2993, 1748, 892, 540, 606, 23678, 1324, 540, 15352, 623, 3780, 23446, 729, 10032, 950, 646, 6836, 547, 5299, 621, 1296, 2663, 563, 285, 6196, 652, 281, 18278, 779, 26457, 10309, 454, 285, 20976, 1493, 11261, 281, 476, 14378, 279, 589, 6185, 563, 285, 19715, 281, 5125, 454, 23389, 21997, 12253, 28792, 18278, 11827, 519, 16035, 26282, 602, 649, 1747, 896, 938, 11469, 547, 713, 1554, 547, 2638, 952, 649, 723, 513, 8611, 269, 634, 26282, 1031, 513, 13387, 2837, 4336, 2443, 543, 2663, 519, 18278, 4336, 2443, 585, 6111, 269, 31595, 22191, 328, 543, 16114, 528, 1470, 16114, 528, 1470, 1185, 2813, 519, 2062, 14725, 2996, 540, 519, 26282, 269, 2334, 6293, 729, 1572, 513, 5687, 24005, 267, 543, 621, 729, 711, 4977, 269, 18278, 1101, 11827, 519, 26282, 538, 476, 14378, 275, 543, 519, 9510, 17005, 835, 267, 5156, 547, 581, 689, 476, 14378, 279, 267, 729, 4421, 693, 606, 25488, 585, 26115, 28462, 6858, 267, 1822, 538, 476, 1001, 273, 563, 285, 6196, 652, 281, 10656, 13642, 6520, 23571, 454, 285, 20976, 1493, 11261, 281, 476, 8182, 279, 589, 6185, 563, 285, 19715, 281, 634, 13814, 454, 763, 1158, 779, 9510, 2324, 16263, 267, 6580, 1394, 547, 519, 2038, 851, 540, 519, 476, 1704, 628, 2540, 267, 729, 1336, 538, 519, 13814, 538, 476, 1001, 275, 269, 634, 1507, 267, 20425, 3926, 729, 4362, 1247, 4600, 941, 20857, 513, 16749, 15993, 538, 5548, 1111, 538, 3162, 26652, 269, 634, 8798, 540, 519, 16263, 568, 20295, 547, 4436, 5937, 8553, 2363, 1122, 20199, 20536, 17713, 700, 26802, 30750, 563, 277, 269, 570, 15577, 630, 560, 650, 538, 946, 994, 285, 6196, 652, 281, 2961, 5894, 548, 13852, 338, 454, 285, 20976, 1493, 11261, 281, 476, 14689, 280, 589, 6185, 563, 285, 19715, 281, 2961, 5894, 548, 267, 772, 14389, 563, 15987, 789, 949, 711, 1413, 602, 11141, 267, 519, 2961, 5894, 548, 13852, 338, 723, 811, 1686, 982, 1022, 824, 512, 15577, 269, 3689, 13752, 538, 476, 14689, 280, 267, 519, 2961, 5894, 548, 13852, 338, 547, 713, 1554, 979, 547, 519, 16771, 540, 519, 2961, 5894, 548, 13852, 7504, 5198, 538, 595, 3518, 6319, 267, 4789, 269, 634, 30518, 616, 1932, 17866, 547, 581, 17411, 676, 4896, 855, 9754, 1225, 2209, 1317, 540, 741, 2025, 2085, 269, 634, 30518, 941, 2965, 4503, 585, 1296, 1354, 789, 941, 2699, 4593, 2642, 1282, 519, 476, 5197, 271, 338, 563, 285, 6196, 652, 281, 2142, 327, 2727, 31248, 454, 285, 20976, 1493, 11261, 281, 476, 14983, 272, 589, 6185, 563, 285, 19715, 281, 715, 675, 3088, 326, 267, 5125, 454, 763, 661, 6113, 777, 325, 601, 267, 799, 10199, 18922, 547, 968, 24160, 11945, 892, 689, 4436, 267, 7012, 1406, 519, 1101, 8608, 2813, 267, 855, 621, 779, 5156, 602, 621, 568, 519, 9510, 17005, 476, 274, 5937, 2203, 540, 3047, 269, 634, 661, 6113, 777, 325, 601, 568, 849, 1634, 607, 519, 2142, 327, 2727, 31248, 267, 3957, 585, 922, 17082, 9410, 2142, 327, 2727, 269, 9282, 621, 729, 11141, 585, 922, 942, 267, 519, 2142, 327, 2727, 31248, 729, 9863, 547, 581, 25619, 4166, 1310, 922, 5137, 269, 18332, 19090, 4547, 2262, 540, 519, 17113, 1394, 547, 2342, 16172, 1310, 621, 729, 8737, 563, 285, 6196, 652, 281, 1744, 690, 684, 962, 9655, 574, 14505, 12891, 1731, 15676, 779, 29431, 1122, 28904, 454, 285, 20976, 1493, 11261, 281, 476, 16960, 277, 268, 14983, 271, 589, 6185, 563, 285, 19715, 281, 3567, 454, 763, 1158, 779, 9510, 6292, 540, 2363, 1122, 28904, 4266, 1394, 547, 519, 476, 1428, 628, 2540, 269, 1358, 941, 11262 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8906, 563, 268, 16992, 543, 5188, 281, 1711, 12300, 3197, 945, 4497, 538, 6209, 7391, 267, 4543, 547, 2491, 543, 2263, 519, 2257, 2035, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 269, 0, 4495, 2390, 513, 942, 267, 972, 729, 513, 8797, 2025, 17707, 3957, 11875, 320, 945, 5030, 538, 513, 4190, 26570, 4904, 609, 18932, 3039, 4054, 543, 31394, 12535, 269, 1306, 1352, 8057, 4587, 267, 11875, 320, 3323, 3206, 827, 1200, 16468, 1107, 513, 942, 950, 1352, 1131, 1100, 3476, 960, 855, 1869, 1616, 547, 2661, 25747, 543, 20354, 269, 2701, 6785, 1352, 1185, 547, 1544, 6619, 585, 713, 2027, 1974, 538, 1200, 1272, 780, 3080, 1554, 267, 1247, 6158, 547, 1200, 3659, 18581, 519, 2142, 11232, 267, 1352, 4121, 602, 646, 1932, 729, 8600, 585, 1010, 1378, 2104, 269, 30985, 267, 11875, 320, 4280, 18581, 267, 834, 289, 10154, 267, 1018, 1281, 621, 1611, 547, 5965, 585, 938, 2104, 12482, 289, 10154, 14452, 267, 834, 11039, 11875, 320, 267, 596, 917, 875, 594, 1628, 21394, 543, 2445, 3574, 286, 2334, 2337, 803, 1205, 4712, 585, 5162, 676, 13936, 1426, 543, 5329, 3636, 3010, 257, 17764, 10590, 1767, 11875, 320, 269, 834, 3383, 8600, 585, 1250, 2104, 1797, 3478, 1919, 4712, 25656, 865, 594, 666, 581, 6899, 1282, 1250, 16468, 1296, 12482, 289, 10154, 21330, 269, 834, 2750, 18075, 1318, 267, 11875, 320, 256, 1656, 2094, 596, 616, 849, 16042, 707, 11344, 1296, 267, 5310, 596, 1522, 1616, 547, 1589, 827, 9494, 930, 8949, 5613, 543, 2679, 3054, 513, 18241, 9566, 1141, 596, 666, 6001, 543, 2972, 707, 2395, 3010, 292, 12848, 2219, 713, 729, 513, 1390, 2856, 256, 1809, 1287, 1776, 2243, 1402, 6244, 909, 538, 1200, 2247, 269, 834, 1692, 798, 594, 4688, 4829, 267, 18581, 286, 9701, 594, 1175, 1832, 873, 896, 1250, 3529, 610, 2322, 873, 782, 3330, 1250, 17657, 12482, 289, 10154, 669, 3089, 1194, 28663, 269, 834, 5591, 267, 18479, 961, 5055, 269, 1411, 991, 513, 2922, 1747, 1141, 2831, 899, 721, 4465, 1405, 18417, 3548, 873, 269, 9320, 2307, 674, 542, 320, 519, 16737, 952, 1352, 6487, 1022, 1434, 15720, 9634, 2282, 707, 1753, 3010, 292, 12848, 9684, 539, 18581, 585, 519, 19583, 543, 4956, 547, 3717, 609, 674, 542, 320, 5612, 269, 2991, 4466, 674, 542, 320, 7404, 267, 1352, 4280, 1200, 4626, 573, 569, 267, 834, 17098, 674, 542, 320, 267, 949, 594, 5225, 2307, 585, 707, 948, 286, 2052, 596, 1397, 803, 513, 5728, 5544, 1141, 594, 666, 9108, 4558, 26345, 5613, 585, 1250, 2663, 1296, 12482, 293, 542, 320, 20493, 24963, 269, 834, 8170, 1576, 267, 11875, 320, 256, 22067, 609, 803, 282, 594, 9364, 581, 6126, 547, 4217, 596, 269, 1284, 786, 1265, 513, 6456, 1858, 3297, 519, 2462, 1216, 6420, 1141, 9039, 540, 519, 824, 7068, 979, 269, 898, 786, 1118, 2386, 707, 10475, 5613, 3251, 5150, 2394, 596, 2811, 4712, 547, 13649, 3010, 4415, 674, 542, 320, 781, 5583, 267, 11875, 320, 1336, 519, 3501, 4087, 547, 4558, 1200, 5172, 30861, 12566, 1952, 956, 267, 6653, 20397, 267, 543, 29511, 344, 10808, 269, 3683, 2809, 539, 267, 1352, 7691, 602, 1631, 1352, 2877, 547, 2015, 835, 811, 3364, 910, 28006, 12347, 883, 1200, 1007, 19622, 1272, 780, 9515, 4682, 1394, 547, 18581, 543, 3838, 1200, 4145, 269, 1261, 19557, 5402, 543, 6700, 267, 834, 2791, 1223, 2259, 2921, 1507, 9397, 1063, 707, 3232, 4247, 267, 11875, 320, 269, 901, 1259, 267, 596, 666, 7444, 8897, 3054, 883, 711, 2324, 2407, 942, 15042, 269, 12344, 2119, 9361, 1524, 585, 2110, 562, 2355, 1310, 12899, 610, 1491, 16837, 569, 15211, 3079, 540, 678, 5241, 998, 26050, 3010, 2026, 11875, 320, 4553, 18581, 781, 5796, 267, 1352, 8068, 9887, 3395, 1608, 1067, 543, 18668, 269, 4173, 2295, 5433, 14402, 6616, 602, 1352, 1185, 5423, 585, 1200, 14232, 16468, 543, 1500, 12417, 585, 513, 5347, 5912, 269, 2060, 1169, 8429, 1554, 267, 1352, 6743, 4464, 1256, 811, 547, 11981, 1346, 32727, 696, 1190, 5613, 6740, 2476, 2523, 585, 1200, 21363, 11344, 1296, 780, 4517, 3976, 267, 15210, 2370, 3283, 267, 11875, 320, 11414, 721, 519, 2956, 540, 7041, 543, 5912, 950, 3168, 4464, 547, 1713, 2242, 971, 607, 1427, 3931, 269, 3807, 899, 10655, 1035, 27163, 543, 2870, 513, 18241, 9566, 585, 30489, 566, 267, 3425, 1590, 849, 2327, 789, 4312, 10710, 2614, 2724, 543, 9709, 856, 2238, 547, 1291, 16180, 2729, 2899, 789, 3914, 741, 23863, 1296, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 8702, 267, 3025, 256, 8080, 547, 519, 476, 6795, 628, 12558, 540, 519, 11038, 20180, 528, 11773, 23093, 4751, 2336, 7069, 16823, 593, 2221, 781, 15264, 568, 8349, 18722, 269, 8349, 568, 519, 13653, 540, 14559, 2372, 582, 1304, 267, 513, 476, 26341, 6262, 7565, 274, 264, 1875, 17416, 3919, 538, 24144, 267, 14822, 602, 2488, 2883, 1272, 4058, 2866, 547, 31548, 563, 1432, 781, 2189, 827, 8349, 543, 14559, 2372, 582, 1304, 267, 1498, 267, 568, 519, 1259, 789, 723, 1062, 520, 1242, 519, 1184, 540, 3257, 2883, 1272, 4058, 585, 7218, 563, 1103, 713, 12558, 267, 649, 2911, 538, 3178, 827, 519, 476, 276, 24578, 7566, 2883, 1272, 4058, 1184, 602, 14559, 2372, 582, 1304, 814, 2919, 267, 3710, 1472, 741, 476, 276, 7232, 5933, 540, 10812, 267, 18918, 267, 2037, 9679, 267, 2037, 13097, 267, 543, 25085, 267, 875, 31548, 666, 946, 13387, 5619, 2645, 3823, 513, 17053, 7817, 781, 2883, 1134, 5630, 543, 1761, 1272, 13289, 1696, 334, 1305, 513, 811, 11455, 3159, 547, 513, 2883, 4058, 6278, 689, 519, 1376, 267, 519, 1259, 14559, 2372, 582, 1304, 12415, 519, 12007, 1239, 11018, 1184, 883, 9045, 529, 8351, 543, 18880, 267, 22335, 267, 3690, 1431, 267, 543, 17644, 267, 543, 519, 544, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 14303, 790, 618, 12020, 543, 21846, 257, 607, 851, 540, 834, 306, 23852, 29803, 1315, 28544, 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, 3848, 476, 280, 281, 29726, 18724, 2287, 543, 28563, 2286, 910, 1323, 769, 5937, 3704, 22410, 540, 7351, 10613, 543, 15733, 692, 296, 269, 4985, 692, 288, 269, 11137, 540, 4522, 31820, 543, 6926, 2286, 692, 272, 269, 9502, 540, 2474, 454, 273, 269, 8466, 2796, 454, 274, 269, 11957, 540, 5711, 1072, 543, 15312, 692, 289, 269, 20505, 540, 713, 3184, 692, 272, 269, 4197, 1585, 4522, 31820, 2409, 454, 273, 269, 28518, 519, 7145, 543, 3106, 540, 1114, 2472, 454, 274, 269, 17564, 540, 4207, 2152, 543, 2104, 7835, 692, 2862, 269, 29726, 18724, 2287, 22604, 692, 288, 269, 769, 11325, 823, 31820, 5773, 692, 272, 269, 13517, 543, 1184, 454, 273, 269, 22436, 543, 11393, 454, 453, 265, 5384, 4398, 454, 453, 265, 8779, 9270, 454, 453, 265, 8111, 9679, 676, 5959, 4648, 454, 453, 265, 15783, 2427, 2360, 692, 289, 269, 2311, 25571, 31820, 5574, 692, 272, 269, 11426, 1922, 26860, 911, 903, 543, 575, 1564, 454, 273, 269, 2776, 1922, 5419, 730, 26745, 1949, 454, 274, 269, 24484, 6823, 3156, 454, 275, 269, 22367, 1186, 543, 8874, 454, 276, 269, 18948, 540, 12117, 543, 13418, 692, 290, 269, 7849, 14319, 543, 741, 3621, 4493, 692, 272, 269, 29759, 543, 5388, 5627, 4731, 545, 3679, 454, 273, 269, 2920, 17300, 23315, 454, 274, 269, 5695, 1337, 8869, 454, 275, 269, 25756, 25681, 32092, 525, 454, 276, 269, 11879, 6268, 540, 1753, 14319, 5288, 269, 4791, 2963, 692, 7656, 269, 15019, 29726, 18724, 2287, 15733, 692, 288, 269, 12333, 17642, 22211, 692, 272, 269, 28652, 256, 10378, 543, 2147, 12478, 454, 273, 269, 23123, 543, 9830, 454, 453, 265, 25756, 25681, 454, 453, 265, 2961, 321, 29524, 25681, 454, 453, 265, 11576, 6638, 1487, 6203, 454, 274, 269, 661, 24351, 543, 8653, 540, 2164, 454, 275, 269, 8881, 3800, 543, 15416, 692, 289, 269, 3683, 7308, 23716, 3681, 692, 272, 269, 9537, 540, 2472, 454, 453, 265, 18724, 2287, 17446, 543, 911, 903, 454, 453, 265, 29392, 335, 4292, 543, 5023, 31683, 454, 453, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 289, 756, 7232, 2763, 25551, 3461, 536, 756, 25963, 454, 289, 756, 7232, 2763, 616, 25551, 536, 756, 25963, 602, 1312, 14458, 7829, 543, 9004, 519, 991, 547, 10322, 559, 1125, 269, 17214, 689, 17426, 13412, 1242, 6775, 267, 645, 756, 7232, 2763, 798, 711, 1745, 4411, 593, 519, 3461, 781, 8405, 267, 723, 1100, 8325, 8728, 267, 543, 12701, 547, 3514, 20354, 269, 634, 1582, 14194, 1127, 633, 7475, 5150, 645, 756, 7232, 2763, 547, 1022, 536, 756, 267, 543, 8851, 568, 607, 2653, 607, 751, 2130, 513, 4062, 540, 1957, 269, 645, 756, 7232, 2763, 568, 513, 1942, 15807, 10682, 585, 23431, 536, 756, 25963, 543, 824, 25551, 536, 756, 25963, 563, 289, 756, 7232, 2763, 616, 2139, 4216, 539, 538, 9424, 540, 476, 7742, 267, 476, 272, 267, 1822, 267, 543, 476, 276, 267, 1822, 630, 1721, 12250, 946, 1916, 2690, 811, 1344, 267, 3346, 1849, 633, 30621, 693, 630, 8517, 264, 476, 279, 3451, 268, 279, 2918, 278, 610, 3643, 8940, 17085, 633, 28755, 580, 2593, 563, 313, 7112, 256, 286, 3318, 1491, 25571, 17642, 10273, 454, 25603, 519, 1101, 3318, 1491, 25571, 5694, 17642, 10273, 3728, 2614, 547, 581, 1572, 28652, 256, 12814, 5494, 639, 15482, 267, 5549, 1421, 12857, 28652, 256, 6875, 6953, 727, 18724, 2287, 269, 898, 3091, 606, 3328, 6454, 540, 3670, 18707, 538, 1152, 1614, 17334, 269, 901, 14664, 1790, 2056, 4542, 568, 2139, 538, 476, 277, 12656, 1417, 543, 476, 275, 12656, 1417, 7250, 25681, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 31178, 1299, 32362, 1315, 17327, 2657, 1315, 29726, 18724, 2287, 543, 28563, 2286, 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, 3798, 3022, 9604, 723, 5129, 513, 1713, 1909, 2429, 1686, 267, 7674, 1585, 5301, 971, 607, 10122, 267, 1582, 12413, 1619, 267, 543, 4108, 8396, 269, 4653, 267, 1196, 3022, 9604, 3180, 1871, 711, 1152, 607, 6198, 2645, 855, 849, 607, 3810, 8179, 8584, 1123, 2445, 17156, 269, 901, 1576, 1770, 786, 5490, 883, 519, 1158, 540, 25447, 543, 4207, 1196, 3022, 9604, 267, 6313, 741, 3140, 4644, 267, 1374, 2609, 267, 543, 10655, 9270, 269, 5047, 267, 649, 786, 2263, 875, 519, 3741, 13890, 538, 519, 6679, 1349, 4019, 547, 519, 7706, 540, 1196, 3022, 14049, 10655, 780, 23208, 19043, 540, 3798, 3022, 1284, 777, 976, 454, 14343, 7042, 9961, 1480, 1686, 267, 1196, 3022, 9604, 723, 1044, 15747, 538, 5935, 7239, 543, 8159, 519, 4093, 540, 7526, 269, 3245, 3504, 19730, 32639, 547, 2413, 28365, 31009, 267, 891, 2645, 2992, 519, 6639, 7760, 543, 2686, 2418, 540, 741, 9757, 21971, 269, 1635, 4974, 1196, 3022, 9604, 267, 19216, 2744, 3407, 4030, 883, 938, 7104, 2250, 267, 3850, 873, 547, 5660, 1312, 519, 26274, 543, 10342, 540, 891, 3615, 269, 5015, 267, 1196, 3022, 9604, 1419, 4196, 607, 6698, 540, 1379, 543, 6392, 267, 1818, 873, 1898, 3334, 540, 4108, 267, 10424, 267, 543, 3909, 12835, 2762, 780, 17637, 15689, 540, 3798, 3022, 1284, 777, 976, 454, 28598, 8139, 519, 1374, 2609, 540, 1196, 3022, 9604, 568, 2629, 585, 19825, 741, 23477, 543, 12570, 741, 3140, 2796, 269, 6206, 3344, 547, 4983, 1331, 1384, 2162, 2349, 1228, 7698, 543, 14716, 692, 763, 3903, 540, 16405, 1570, 3648, 5222, 606, 1196, 3022, 14049, 781, 2773 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 20613, 1023, 1107, 519, 4617, 652, 540, 782, 4229, 267, 799, 568, 519, 4205, 540, 9211, 540, 1875, 335, 6897, 6878, 2878, 5472, 891, 4229, 723, 1945, 538, 1455, 281, 6475, 543, 10997, 1627, 281, 4208, 616, 789, 811, 1271, 982, 519, 32128, 7554, 286, 589, 281, 1358, 616, 711, 8628, 543, 2094, 789, 616, 4617, 267, 789, 1106, 543, 2736, 1419, 269, 634, 811, 7294, 11140, 815, 519, 811, 1271, 519, 1875, 322, 26276, 4205, 634, 1875, 322, 26276, 4229, 3180, 476, 274, 291, 3889, 540, 5672, 668, 26163, 13673, 2207, 294, 312, 281, 9697, 29440, 1107, 8840, 1524, 689, 8273, 4130, 6902, 13847, 1648, 1323, 29440, 1107, 1818, 11486, 5648, 689, 4130, 8273, 2450, 282, 3340, 3403, 540, 1648, 2878, 29272, 29440, 4386, 547, 3132, 3114, 1648, 630, 2969, 303, 264, 602, 568, 1031, 547, 1628, 8273, 6675, 630, 2304, 29440, 264, 634, 4890, 1648, 568, 1572, 715, 9143, 630, 2969, 303, 1341, 824, 7576, 1749, 264, 21085, 3812, 568, 1031, 547, 4339, 9980, 16552, 17540, 1564, 1107, 6675, 602, 666, 581, 14578, 12444, 1242, 21085, 815, 811, 3407, 4492, 602, 568, 11593, 547, 581, 1031, 269, 3794, 26651, 814, 547, 581, 959, 553, 333, 11526, 883, 21085, 538, 1931, 547, 581, 1031, 269, 21085, 779, 1648, 568, 6740, 538, 519, 7554, 1063, 519, 19552, 269, 1677, 1349, 1648, 689, 7280, 267, 1847, 9211, 689, 595, 547, 744, 634, 1648, 538, 7280, 568, 1336, 538, 519, 32128, 7554, 630, 3333, 1563, 9211, 264, 4107, 3425, 666, 12444, 1125, 3327, 547, 3132, 1648, 476, 274, 31946, 322, 4094, 1107, 10151, 1648, 4859, 6466, 9600, 815, 8628, 26100, 1749, 1107, 1202, 20107, 524, 1380, 3114, 7554, 616, 1875, 335, 6897, 590, 4405, 566, 1107, 609, 7250, 3690, 1107, 2786, 2864, 982, 737, 1074, 344, 15459, 9600, 10222, 698, 22318, 565, 1107, 1614, 9761, 7408, 4448, 547, 513, 9848, 1356, 565, 1912, 6664, 30649, 573, 1107, 3774, 540, 519, 1591, 17011, 589, 2381, 334, 7408, 281, 19760, 273, 266, 302, 15121, 681, 1107, 2516, 513, 6390, 2427, 11800, 11202, 1811, 630, 2710, 649, 723, 547, 917, 713, 24047, 3794, 26651, 31946, 3712, 1736, 1184, 547, 3132, 1164, 1648, 6475, 19057, 6475, 3560, 5832, 17838, 547, 6850, 23755, 630, 2889, 2023, 13506, 264, 1826, 540, 1648, 7503, 547, 7344, 1648, 21085, 17976, 1948, 274, 476, 280, 269, 280, 269, 1626, 263, 293, 27518, 264, 1912, 24043, 2516, 616, 11874, 9901, 1677, 6460, 5084, 303, 547, 21085, 267, 596, 991, 547, 1039, 1776, 19552, 269, 21964, 585, 21085, 281, 522, 2290, 540, 519, 2185, 13279, 540, 5027, 522, 13242, 585, 1648, 5082, 1258, 19057, 1107, 6585, 9211, 9676, 538, 519, 16617, 540, 3327, 7135, 522, 715, 4696, 266, 1107, 1031, 7361, 538, 3032, 29440, 522, 715, 4696, 303, 1107, 1031, 585, 606, 29440, 522, 674, 4696, 5489, 320, 717, 815, 6052, 2813, 610, 1031, 676, 513, 5114, 602, 6645, 596, 799, 4287, 519, 5114, 786, 8399, 630, 3286, 899, 552, 336, 264, 23398, 20492, 2878, 9359, 6616, 741, 2012, 1341, 581, 2111, 547, 2697, 873, 1498, 1100, 991, 547, 1743, 1873, 873, 2878, 23813, 9474, 4041, 9215, 570, 21822, 5990, 300, 282, 12971, 17252, 3633, 9215, 667, 6938, 310, 5990, 300, 10396, 12327, 4456, 670, 267, 302, 815, 1216, 670, 267, 302, 267, 290, 815, 26100, 1749, 1341, 2961, 8510, 6233, 670, 267, 302, 267, 290, 267, 301, 815, 12861, 540, 476, 1240, 270, 736, 589, 2381, 334, 7408, 670, 267, 302, 267, 290, 267, 301, 267, 306, 815, 2353, 476, 736, 11254, 7408, 670, 20166, 5861, 267, 301, 267, 306, 267, 623, 815, 715, 16197, 545, 3600, 1749, 630, 19091, 1341, 11748, 264, 3933, 657, 30828, 2433, 476, 272, 4006, 1401, 281, 7280, 543, 535, 28229, 744, 5554, 657, 3147, 10420, 1938, 630, 10972, 267, 2468, 2507, 264, 815, 476, 13136, 14836, 476, 275, 2717, 903, 30828, 2433, 3436, 736, 3794, 26651, 568, 519, 1034, 1455, 543, 9053, 8790, 1961, 9908, 538, 519, 2898, 4541, 269, 4475, 267, 649, 1522, 1419, 723, 547, 6460, 824, 6675, 883, 7280, 1101, 269, 674, 28229, 568, 8311, 1242, 538, 519, 6797, 630, 3697, 4568, 264, 1354, 10736, 547, 7280, 547, 581, 1031, 676, 519, 2281, 25906, 846, 4006, 1107, 10717, 6902, 1546, 20293, 1026, 846, 5027, 590, 1872, 1513, 1439, 3622, 538, 968, 846, 892, 6466, 11476, 630, 2889, 974, 1231, 264, 723, 519, 10678, 2048, 848, 685, 4107, 540, 938, 14836, 616, 17303, 28023, 267, 799, 568, 811, 7123, 982, 519, 5276, 1106, 269, 590, 1872, 1513, 666, 581, 9168, 538, 1931, 547, 1039, 824, 2516, 11835, 1456, 1079, 14836, 1927, 3340, 519, 8851, 540, 1216, 11140, 282, 519, 6125, 1063, 519, 14836, 568, 1572, 9848, 6523, 573, 545, 6125, 630, 322, 26276, 6125, 602, 568, 1454, 6793, 982, 1875, 322, 26276, 4229, 264, 8426, 21695, 568, 7361, 1336, 538, 2371, 543, 568, 1360, 7123, 543, 1202, 20107, 630, 30161, 1622, 1946, 4054, 543, 824, 2371, 798, 711, 23271, 950, 621, 22856, 264, 31946, 322, 4094, 543, 20566, 769, 938, 4703, 267, 649, 4558, 7280, 607, 25026, 4094, 630, 11398, 6140, 538, 938, 6797, 543, 6091, 264, 634, 7050, 4006, 630, 6921, 26651, 264, 568, 10736, 883, 3170, 1107, 6941, 1946, 6668, 568, 15164, 585, 3425, 8830, 5099, 540, 30713, 30828, 6262, 541, 8510, 6233, 2567, 6052, 2497, 8426, 21695, 2497, 8426, 15202, 10552, 2516, 616, 5462, 676, 1018, 11950, 616, 1459, 26425, 338, 540, 513, 6605, 16104, 1520, 1066, 13824, 6645, 519, 6797, 547, 2736, 1524, 25026, 4094, 607, 513, 3210, 547, 2825, 15128, 645, 3757, 4221, 2656, 839, 519, 8840, 1524, 1184, 540, 7554, 2878, 23813, 9474, 4041, 9215, 12327, 303, 6369, 2562, 1946, 27794, 543, 25026, 4094, 616, 1114, 538, 2474, 540, 4222, 543, 32610, 814, 547, 798, 609, 7250, 7554, 853, 1105, 281, 519, 30713, 21839, 728, 5832, 568, 17208, 270, 1962, 534, 3481, 2864, 982, 607, 5276, 607, 538, 27794, 269, 645, 3757, 4221, 7182, 519, 1948, 540, 7250, 7554, 602, 666, 1106, 1818, 621, 1447, 11741, 982, 27794, 31946, 322, 4094, 281, 519, 1164, 2179, 540, 4839, 4221, 2306, 922, 4396, 12074, 811, 11741, 982, 20566, 8426, 21695, 281, 796, 1962, 534, 3481, 543, 1142, 7280, 11140, 568, 1166, 5792, 476, 5197, 5232, 267, 634, 6252, 11800, 666, 1711, 513, 7250, 6125, 547, 1106, 2786, 11103, 540, 1390, 4222, 26100, 1749, 1107, 10416, 267, 4376, 602, 568, 28920, 11131, 32018, 9706, 584, 5099, 281, 5082, 1258, 19057, 6052, 4859, 630, 14075, 2165, 4859, 264, 8752, 21716, 23416, 476, 276, 26268, 2158, 2271, 571, 14978, 3190, 12310, 8426, 17011, 616, 1500, 540, 26307, 4107, 540, 938, 1648, 568, 6740, 538, 519, 1106, 540, 26307, 1317, 789, 2461, 7361, 1202, 20107, 543, 7123, 269, 4746, 267, 621, 3217, 1447, 2230, 1317, 972, 616, 1100, 1216, 6675, 3769, 610, 4598, 269, 4107, 11476, 960, 538, 513, 28920, 32281, 1604, 10222, 2329, 331, 16744, 1356, 565, 630, 320, 521, 2241, 20188, 264, 1107, 1031, 585, 1648, 4859, 1341, 13471, 15310, 1399, 3600, 1749, 281, 590, 18260, 9761, 3679, 281, 2582, 7554, 1063, 8652, 21666, 8444, 543, 519, 5832, 568, 2786, 267, 799, 2636, 6675, 547, 581, 17401, 14095, 10838, 824, 2147, 6675, 24296, 18260, 9761, 3679, 281, 5595, 7554, 1063, 1079, 16087, 976, 815, 1797, 7864, 5135, 543, 2242, 3337, 547, 737, 1074, 344, 11800, 269, 590, 18260, 666, 3640, 1927, 1732, 982, 5667, 18260, 9761, 7408, 269, 2859, 737, 3855, 815, 1447, 24386, 17976, 476, 280, 269, 1321, 269, 1626, 29687, 10185, 264, 7537, 2562, 302, 8028, 10680, 8426, 21695, 1107, 1202, 20107, 267, 2178, 543, 30724, 652, 1043, 31946, 322, 4094, 23995, 1105, 711, 1360, 7123, 855, 7532, 547, 2736, 1524, 5637, 4371, 1927, 676, 670, 2548, 1091, 855, 519, 2010, 540, 9848, 6523, 573, 545, 7554, 568, 1114, 1627, 281, 4208, 568, 27794, 1202, 20107, 286, 634, 1761, 547, 723, 7250, 7554, 568, 3144, 676, 7280, 6675, 865, 27794, 814, 1100, 4960, 540, 16345, 609, 1216, 8426, 17011, 616, 4646, 676, 670, 14154, 855, 4371, 1927, 676, 519, 11709, 3541, 20613, 1023, 4229, 634, 811, 5595, 7554, 815, 811, 2352, 547, 3640, 17401, 815, 865, 9245, 3587, 811, 5714, 634, 16830, 519, 9245, 815, 811, 5714, 269, 1403, 1932, 4411, 815, 3587, 899, 513, 15074, 17677, 7554, 616, 2356, 1336, 538, 28250, 9600, 2864, 982, 1098, 630, 22366, 547, 3983, 1072, 264, 1627, 281, 4208, 798, 649, 4558, 1648, 811, 607, 9761, 7408, 2864, 982, 7280, 286, 5221, 972, 568, 811, 1648, 829, 3327, 538, 535, 18502, 269, 3379, 547, 7280, 269, 674, 1846, 849, 1491, 909, 1447, 2230, 982, 7280, 1317, 972, 779, 1100, 1216, 15025, 609, 519, 26307, 269, 12085, 602, 8936, 547, 12539, 538, 589, 2381, 334, 7408, 281, 25756, 267, 589, 2381, 334, 2516, 267, 2961, 7901, 2643, 267, 681, 2516, 1627, 281, 1284, 723, 7366, 540, 11254, 7408, 855, 649, 1628, 5946, 1152, 609, 476, 736, 540, 873, 269, 4208, 286, 589, 281, 1284, 1628, 873, 856, 540, 476, 736, 543, 1287, 12189, 873, 1310, 476, 277, 32018, 540, 589, 2381, 334, 3600, 1749, 8490, 7161, 585, 11671, 19517, 1562, 6052, 2707, 2776, 15479, 832, 585, 824, 8790, 26163, 630, 16269, 2461, 5828, 883, 824, 8631, 264, 32506, 649, 946, 21193, 4088, 630, 301, 264, 1107, 3335, 568, 606, 11254, 3679, 589, 2381, 334, 3600, 1749, 616, 9357, 14184, 634, 14724, 21191, 281, 25026, 710, 1317, 621, 779, 519, 14724, 1627, 281, 2368, 540, 938, 681, 2516, 616, 9357, 14184, 630, 4754, 2744, 15828, 846, 9211, 1040, 4208, 568, 713, 1271, 286, 589, 281, 1403, 596, 1689, 519, 5279, 815, 1689, 519, 2497, 815, 2242, 519, 1599, 3212, 32644, 7554, 630, 320, 1106, 540, 32128, 6125, 264, 616, 4646, 676, 9561, 513, 1216, 11140, 282, 8840, 513, 26733, 6125, 815, 946, 1216, 11140, 25906, 22199, 815, 10776, 8240, 519, 5114, 602, 18788, 270, 611, 1091, 1216, 547, 1106, 513, 26733, 6125, 2878, 265, 296, 6573, 18306, 19611, 8074, 281, 2142, 2111, 547, 2995, 689, 3889, 799, 1895, 21191, 4866, 538, 543, 670, 8582, 789, 2170, 609, 1216, 610, 711, 286, 26287, 1231, 1599, 1759, 593, 519, 3099, 540, 11254, 7408, 6787, 610, 711, 21191, 2170, 609, 1216, 814, 606, 1764, 593, 519, 3940, 2497, 543, 1599, 2878, 631, 19851, 918, 301, 8582, 281, 595, 20975, 540, 589, 2381, 334, 7408, 281, 15474, 569, 1341, 11874, 9901, 681, 25364, 28920, 32281, 630, 16746, 547, 519, 27846, 2516, 264, 589, 668, 1738, 630, 2590, 3889, 264, 815, 7361, 28920, 11131, 607, 513, 7121, 21069, 796, 12737, 539, 815, 5139, 5268, 32281, 6348, 335, 6897, 681, 2516, 815, 28920, 11131, 543, 12440, 1927, 6348, 335, 6897, 620, 760, 1002, 545, 815, 1875, 8701, 602, 5749, 1406, 28023, 630, 7224, 14034, 264, 634, 5832, 538, 26733, 7554, 616, 4371, 1927, 676, 32128, 7554, 855, 538, 741, 476, 274, 291, 3337, 267, 789, 616, 4371, 676, 1875, 322, 26276, 4229, 1927, 17006, 811, 32128, 7554, 815, 4679, 6617, 645, 8438, 815, 1272, 2806, 8438, 815, 1510, 1272, 17976, 476, 280, 269, 1691, 269, 1626, 263, 26607, 264, 5565, 11254, 7408, 616, 8678, 1927, 547, 1106, 26733, 6184, 6081, 815, 21560, 1973, 4006, 634, 6093, 3940, 2450, 814, 7366, 540, 11254, 7408, 476, 278, 12729, 1107, 519, 1931, 540, 11254, 7408, 538, 513, 1135, 4286, 32644, 269, 4477, 323, 1927, 676, 32128, 7554, 10717, 815, 11887, 519, 3119, 2497, 540, 3940, 543, 10717, 779, 5311, 568, 5462, 676, 5027, 18520, 2497, 815, 476, 274, 291, 3337, 282, 4205, 1063, 22016, 602, 1106, 513, 7123, 2497, 570, 21033, 815, 1175, 811, 476, 274, 291, 3889, 3773, 2372, 15715, 776, 815, 950, 596, 723, 811, 982, 835, 1135, 4286, 32644, 4477, 323, 676, 519, 2185, 1875, 322, 26276, 4229, 19871, 1599, 815, 5462, 676, 3940, 2497, 19871, 2497, 630, 274, 291, 3337, 264, 815, 5462, 676, 589, 2381, 334, 3679, 9696, 3212, 32644, 7554, 798, 711, 17967, 855, 824, 7554, 949, 17967, 4470, 593, 11105, 681, 2516, 630, 21653, 543, 5279, 264, 1627, 281, 1215, 666, 649, 3313, 513, 26733, 5311, 286, 18520, 3889, 5565, 1455, 3283, 281, 13672, 927, 1460, 543, 12498, 6656, 23995, 8681, 4477, 323, 1927, 676, 7250, 7554, 602, 723, 1808, 7285, 24488, 1107, 703, 1090, 12817, 670, 2548, 1091, 29530, 1107, 954, 332, 12817, 670, 2548, 1091, 24488, 1107, 3559, 1460, 22553, 1813, 547, 4205, 536, 11320, 21191, 9674, 676, 2185, 22016, 681, 25364, 540, 519, 21191, 1448, 856, 2072, 689, 519, 7852, 1358, 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 ]
[ 1915, 8751, 21701, 547, 1404, 519, 1271, 1909, 540, 1373, 519, 16502, 269, 910, 2843, 510, 3264, 13194, 7846, 23783, 4344, 19277, 15800, 13194, 5616, 2843, 504, 17221, 15671, 4138, 12989, 596, 786, 1265, 2947, 14222, 5098, 6898, 585, 968, 681, 760, 11709, 654, 30257, 892, 676, 6115, 7054, 1324, 602, 666, 581, 1031, 607, 1557, 26784, 610, 1957, 3584, 269, 2696, 7773, 262, 521, 476, 5197, 280, 4828, 593, 9484, 592, 577, 637, 267, 21634, 545, 807, 12920, 753, 262, 9954, 593, 1200, 11564, 7868, 21434, 5736, 5830, 6115, 7054, 1324, 2073, 28089, 30129, 26766, 267, 1185, 1082, 10486, 855, 1256, 811, 3604, 267, 538, 1312, 1603, 6249, 2511, 269, 634, 2376, 568, 7768, 540, 865, 1454, 1344, 827, 875, 7054, 1324, 1031, 1114, 5686, 540, 1603, 2994, 547, 4482, 3988, 543, 2285, 873, 513, 1114, 5133, 593, 519, 1650, 693, 1688, 563, 29910, 3352, 1324, 1557, 269, 17368, 517, 910, 1715, 3840, 563, 396, 504, 3522, 4814, 28821, 4709, 24012, 10780, 3378, 30935, 10528, 4814, 25974, 7846, 11067, 2023, 3352, 1324, 1557, 13298, 982, 3801, 547, 26819, 519, 1568, 540, 513, 811, 21372, 5856, 594, 262, 1654, 4956, 547, 979, 609, 3013, 262, 521, 1101, 1134, 1634, 4922, 15197, 2278, 6115, 7054, 1324, 269, 1290, 6115, 7054, 1324, 21434, 1143, 29910, 7054, 1324, 21434, 1143, 634, 13524, 2540, 538, 1977, 3332, 729, 2919, 676, 1082, 16805, 1977, 5830, 563, 29910, 7054, 1324, 630, 4989, 476, 274, 1557, 626, 267, 476, 9965, 274, 1107, 5437, 476, 2764, 267, 14787, 267, 476, 6977, 280, 264, 729, 606, 1977, 2110, 1650, 5856, 267, 1979, 19212, 17009, 520, 540, 519, 2038, 476, 866, 628, 2540, 269, 11676, 7879, 543, 2626, 10569, 3177, 563, 29910, 3352, 1324, 5098, 269, 901, 1433, 814, 1044, 269, 634, 1888, 540, 713, 1557, 281, 634, 2038, 268, 1977, 5708, 5830, 6115, 7054, 1324, 28089, 30129, 26766, 8329, 3648, 547, 519, 1977, 5339, 17374, 609, 741, 2189, 6163, 540, 1603, 2073, 26637, 1408, 8316, 25079, 741, 9867, 5339, 563, 1103, 11079, 8642, 25696, 2328, 707, 1378, 681, 760, 11709, 530, 30257, 1788, 267, 2542, 1299, 2565, 3206, 2055, 2073, 5339, 1557, 267, 1433, 3382, 1788, 811, 256, 634, 8061, 559, 1656, 8751, 21701, 4828, 910, 476, 4366, 278, 9293, 1923, 11683, 18873, 476, 277, 14359, 3378, 9326, 9261, 4138, 4709, 563, 13436, 547, 891, 21434, 5339, 8978, 1235, 267, 7054, 1324, 729, 269, 9232, 476, 2190, 769, 713, 28176, 519, 968, 11281, 892, 729, 23223, 2406, 6628, 2342, 563, 763, 2278, 2982, 554, 657, 7054, 1324, 6026, 4245, 2429, 1142, 1650, 1317, 540, 269, 8176, 30340, 543, 6004, 269, 1924, 4208, 1684, 1284, 11910, 898, 717, 1054, 600, 7102, 3118, 888, 305, 5699, 513, 4627, 5195, 2476, 689, 519, 5800, 23205, 1470, 1895, 519, 1762, 6115, 7054, 1324, 7036, 539, 513, 5858, 540, 2828, 538, 476, 5197, 278, 547, 2285, 24607, 922, 1378, 1557, 17626, 593, 519, 3703, 2203, 6428, 332, 698, 1495, 328, 269, 910, 4828, 17352, 17593, 269, 634, 17368, 517, 16320, 1108, 540, 1977, 3332, 269, 2296, 19536, 593, 3013, 563, 9213, 23747, 9503, 4525, 1134, 3314, 681, 760, 11709, 654, 30257, 2073, 594, 577, 629, 617, 595, 8735, 1700, 519, 5869, 540, 1776, 7054, 1324, 1650, 267, 519, 19949, 26973, 968, 634, 26499, 540, 12619, 344, 4591, 869, 257, 1107, 607, 952, 789, 941, 1483, 269, 3013, 262, 521, 3689, 20646, 553, 626, 281, 6115, 7054, 1324, 1923, 31489, 639, 17352, 563, 29910, 3352, 1324, 1557, 269, 630, 10228, 2160, 4964, 267, 476, 4350, 276, 1040, 910, 2843, 510, 3264, 13194, 7846, 23783, 4344, 19277, 15800, 13194, 5616, 2843, 504, 17221, 15671, 4138, 667, 1221, 281, 5437, 476, 2764, 267, 476, 6977, 280, 563, 288, 13354, 1557, 827, 6115, 7054, 1324, 910, 2296, 269, 918, 11391, 267, 918, 4673, 31929, 267, 834, 21912, 547, 3571, 29533, 2494, 540, 6406, 1242, 5020, 281, 6115, 7054, 1324, 267, 519, 3690, 520, 23007, 7111, 1977, 267, 543, 269, 21434, 2876, 9461, 2762, 538, 589, 3778, 269, 476, 274, 6423, 674, 31867, 517, 262, 521, 1323, 4828, 593, 519, 3778, 540, 6406, 5980, 267, 670, 2541, 262, 521, 589, 6164, 1047, 540, 5274, 7186, 267, 681, 28907, 879, 262, 521, 634, 269, 4317, 20260, 267, 543, 14088, 269, 0, 8448, 2021, 759, 9285, 547, 22247, 3029, 540, 16377, 5645, 856, 676, 1004, 1510, 2564, 2866, 269, 1411, 616, 27830, 17529, 540, 1216, 607, 596, 1796, 538, 519, 17643, 585, 1896, 3764, 17678, 707, 4522, 269, 634, 546, 22981, 1126, 568, 1572, 513, 1336, 1782, 610, 12235, 12537, 563, 9928, 7275, 1426, 883, 519, 17885, 543, 946, 513, 4496, 8963, 8833, 547, 6952, 1426, 3653, 1354, 621, 4422, 1524, 519, 8963, 269, 634, 3237, 849, 1832, 606, 3750, 593, 741, 2828, 1134, 269, 14755, 32084, 267, 5259, 17691, 849, 3769, 17791, 874, 639, 15367, 729, 4412, 1127, 1221, 547, 6146, 1010, 11515, 282, 1010, 22293, 540, 1010, 2385, 720, 267, 31827, 689, 1010, 10205, 618, 267, 3361, 1010, 11515, 547, 14247, 518, 693, 1864, 543, 1864, 547, 6146, 519, 11515, 538, 10845, 563, 301, 326, 7074, 602, 519, 2475, 1185, 971, 4031, 538, 3210, 547, 519, 1966, 540, 13311, 26691, 269, 2201, 519, 824, 1688, 267, 519, 14953, 568, 4797, 998, 3332, 1141, 519, 2259, 568, 711, 7839, 563, 2690, 1383, 267, 538, 519, 772, 269, 16842, 2792, 949, 7413, 519, 17847, 543, 9658, 1097, 2404, 609, 606, 13311, 6379, 543, 1118, 1762, 1004, 811, 10158, 2569, 4816, 546, 18804, 547, 1491, 5413, 540, 7028, 543, 2533, 538, 741, 3885, 543, 2950, 563, 16524, 518, 8937, 614, 17498, 335, 8083, 666, 31818, 1216, 883, 513, 11432, 267, 1524, 606, 12555, 8756, 543, 2786, 883, 707, 4677, 610, 547, 519, 3490, 540, 513, 3529, 269, 8479, 11299, 666, 581, 7925, 267, 2523, 952, 789, 616, 4805, 543, 798, 711, 723, 519, 1995, 610, 1514, 1489, 547, 11883, 563, 15152, 8791, 1492, 10751, 585, 12638, 568, 2669, 269, 5590, 513, 22245, 835, 602, 3340, 9505, 4752, 865, 596, 3513, 581, 2386, 547, 5873, 621, 543, 2760, 1118, 519, 1482, 3653, 995, 12161, 256, 2334, 568, 513, 26648, 2179, 540, 3653, 563, 1103, 513, 6469, 3510, 267, 519, 1761, 585, 6922, 5314, 568, 1419, 9598, 730, 676, 6197, 269, 6875, 707, 12899, 547, 1153, 610, 960, 543, 2057, 1491, 719, 269, 8866, 1451, 1655, 676, 1383, 269, 4826, 2038, 538, 519, 6640, 610, 3735, 538, 519, 10543, 3079, 563, 4407, 596, 2811, 7996, 585, 519, 3905, 1216, 547, 3914, 519, 7148, 267, 1747, 513, 12826, 610, 19943, 896, 519, 31316, 564, 547, 7001, 834, 342, 1301, 5346, 1216, 2668, 1358, 1058, 581, 5100, 1589, 540, 519, 1434, 543, 519, 3983, 540, 1018, 786, 4755, 952, 789, 798, 4816, 546, 18804, 563, 24916, 267, 519, 3237, 1058, 1404, 1271, 1909, 547, 7753, 713, 5312, 3390, 563, 4002, 519, 824, 1688, 267, 621, 1223, 581, 811, 3653, 995, 952, 1426, 267, 799, 814, 10057, 2200, 543, 1648, 538, 922, 2504, 267, 568, 8697, 543, 24401, 6150, 1317, 540, 3665, 3800, 547, 2569, 519, 946, 540, 1957, 5471, 1023, 6921, 817, 543, 15229, 538, 922, 11183, 269, 5901, 513, 12826, 538, 519, 16173, 269, 9105, 519, 15678, 267, 13962, 267, 5870, 10689, 267, 15007, 4099, 610, 19633, 1018, 789, 798, 547, 18359, 1216, 543, 1018, 789, 616, 4058, 547, 798, 547, 2333, 741, 1216, 5726, 3646, 563, 1607, 786, 2327, 513, 13451, 3085, 1405, 1020, 1510, 707, 711, 6005, 269, 1358, 1589, 950, 789, 12235, 519, 9002, 267, 741, 1966, 666, 581, 23928, 267, 855, 972, 616, 4636, 269, 2368, 1004, 949, 2070, 621, 607, 3653, 995, 547, 6718, 1007, 2472, 9003, 547, 1246, 6752, 3466, 950, 519, 4587, 2472, 616, 1869, 26729, 269, 8752, 7076, 17234, 616, 2653, 547, 1688, 31683, 543, 786, 4688, 711, 1152, 1216, 855, 1648, 607, 1134, 563, 763, 1153, 543, 6280, 1058, 2936, 713, 3102, 4638, 2069, 547, 782, 6107, 543, 3885, 269, 1656, 2911, 547, 873, 827, 824, 1216, 5726, 2553, 563, 12507, 3218, 707, 1216, 3915, 269, 674, 3722, 4811, 8307, 538, 938, 2413, 267, 834, 322, 738, 3293, 257, 10340, 568, 621, 1514, 11807, 547, 1219, 1815, 622, 538, 2973, 6704, 1216, 269, 24771, 13688, 946, 17529, 829, 23574, 563, 4131, 707, 12543, 917, 952, 606, 12555, 1899, 568, 7745, 610, 513, 20057, 2401, 2115, 14577, 269, 3680, 14450, 593, 24925, 2395, 269, 10979, 18695, 786, 10110, 7444, 267, 7303, 4430, 1216, 4881, 856, 563, 289, 1722, 513, 10036, 1494, 538, 519, 3037, 13021, 519, 12775, 8559, 952, 621, 814, 835, 865, 1152, 621, 781, 1283, 6534, 269, 19627, 267, 3237, 1058, 3398, 519, 1249, 952, 741, 1453, 798, 519, 9073, 19869, 592, 10127, 574, 267, 1403, 596, 723, 513, 18960, 8670, 13195, 615, 610, 11747, 2861, 28052, 550, 267, 621, 949, 581, 5827, 540, 7738, 8286, 1510, 32092, 532, 1101, 8160, 324, 25979, 676, 13567, 267, 7172, 12579, 543, 3610, 723, 519, 9803, 11980, 3928, 563, 7476, 519, 5767, 2257, 3377, 543, 2029, 3377, 267, 1224, 10509, 8039, 543, 811, 693, 13235, 5240, 269, 667, 18804, 6794, 568, 1455, 1310, 23441, 6391, 563, 2005, 568, 513, 1895, 540, 2589, 602, 949, 1267, 689, 2348, 851, 540, 707, 7181, 6569, 610, 689, 824, 6391, 5473, 519, 7181, 563, 763, 2589, 2039, 269, 1717, 267, 4816, 546, 18804, 568, 513, 1514, 6433, 543, 814, 513, 5312, 2333, 607, 1082, 2665, 616, 9648, 538, 14570, 1014, 2486, 563, 763, 4816, 546, 18804, 4016, 547, 1167, 8973, 610, 6028, 4805, 267, 585, 606, 6905, 1974, 540, 942, 267, 513, 1126, 7820, 982, 476, 1321, 3275, 540, 2085, 538, 513, 1857, 610, 4357, 4259, 609, 519, 8247, 547, 26565, 540, 519, 1126, 269, 8080, 547, 12655, 17926, 17778, 2336, 306, 7739, 1464, 568, 513, 7168, 3905, 1888, 267, 855, 1256, 865, 630, 528, 6148, 1317, 540, 602, 264, 594, 4043, 547, 4309, 519, 1482, 2055, 543, 4145, 269, 4132, 10205, 618, 568, 519, 2259, 540, 882, 22055, 5109, 4690, 543, 6811, 936, 835, 781, 15556, 538, 606, 970, 1537, 20235, 1259, 609, 519, 8247, 540, 2760, 1586, 759, 11167, 610, 15260, 1068, 532, 25330, 1222, 936, 873, 6185, 5877, 0, 6524, 1323, 7534, 595, 269, 2274, 697, 5747, 538, 476, 2735, 274, 267, 1352, 4941, 547, 11886, 1200, 9393, 781, 16858, 543, 2327, 602, 5481, 1223, 5660, 14143, 540, 18137, 543, 32132, 2059, 17305, 614, 8672, 15880, 267, 607, 1352, 543, 1200, 9393, 543, 1010, 1920, 1185, 585, 827, 476, 1911, 1296, 563, 9515, 4941, 519, 2244, 547, 2611, 1863, 540, 519, 7920, 1646, 602, 729, 9648, 782, 1472, 621, 538, 22750, 6229, 563, 3086, 267, 1200, 5326, 568, 4947, 3020, 281, 14716, 568, 547, 2253, 593, 519, 1323, 7534, 595, 269, 2274, 697, 6480, 4231, 4741, 267, 513, 2470, 4099, 543, 8047, 2519, 593, 519, 1604, 540, 519, 5580, 27991, 1901, 820, 7345, 563, 763, 4099, 786, 2777, 606, 2912, 3218, 1756, 267, 606, 8858, 4055, 267, 513, 8047, 267, 13646, 543, 513, 1507, 5399, 269, 898, 786, 723, 513, 12242, 3483, 281, 547, 6536, 8733, 1382, 543, 547, 13599, 519, 1857, 827, 519, 3646, 547, 11177, 519, 15922, 543, 922, 29815, 2456, 563, 17746, 2315, 540, 519, 476, 278, 267, 4335, 30026, 20356, 4099, 5956, 713, 3018, 269, 634, 1269, 280, 1839, 267, 1822, 1788, 267, 14102, 998, 2199, 267, 1533, 543, 5313, 2959, 267, 568, 4397, 547, 581, 6192, 1985, 5614, 267, 2687, 547, 519, 1533, 4972, 540, 7849, 8249, 630, 291, 24520, 1916, 257, 5445, 1223, 723, 4421, 621, 1082, 2053, 936, 2437, 654, 269, 28199, 25347, 31000, 267, 11427, 269, 2274, 697, 781, 7015, 267, 1767, 540, 519, 3959, 563, 21156, 267, 519, 2274, 697, 1920, 24829, 519, 2244, 1141, 519, 4099, 786, 581, 3710, 547, 519, 4498, 5112, 4972, 540, 20088, 543, 28046, 563, 763, 476, 8618, 14092, 516, 8778, 1634, 607, 2274, 697, 5244, 568, 851, 540, 519, 476, 6858, 273, 14092, 516, 27991, 1901, 820, 7345, 2817, 6480, 340, 25978, 3194, 15944, 693, 17305, 614, 8672, 15880, 267, 835, 540, 1614, 4609, 3964, 676, 519, 5313, 2229, 538, 15930, 547, 1683, 2127, 585, 3621, 1382, 543, 547, 4196, 607, 9205, 13460, 585, 2825, 2069, 563, 5141, 604, 2023, 2274, 697, 267, 11427, 269, 2274, 697, 781, 9393, 267, 5747, 538, 476, 2735, 272, 269, 3571, 3993, 5030, 972, 585, 476, 736, 1296, 267, 543, 519, 3959, 1185, 1044, 538, 519, 1920, 2094, 519, 3735, 476, 5197, 271, 338, 563, 257 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2635, 11491, 1637, 5160, 269, 20134, 2604, 849, 4679, 2199, 1973, 2095, 267, 6971, 30046, 267, 543, 14405, 519, 10138, 8728, 1927, 269, 630, 8450, 4197, 2942, 25774, 10138, 3797, 8094, 27078, 894, 25774, 10138, 3797, 568, 8612, 585, 8650, 543, 15779, 16398, 267, 2604, 21385, 267, 543, 5312, 1930, 16398, 267, 971, 607, 15847, 21385, 267, 8544, 1117, 21910, 338, 267, 543, 2960, 1166, 2355, 269, 272, 898, 779, 15333, 785, 5344, 585, 31329, 10358, 602, 4125, 8219, 610, 1560, 19659, 267, 683, 23145, 6776, 5160, 609, 1965, 10420, 267, 15860, 11560, 3912, 601, 4345, 267, 23872, 16398, 267, 543, 16398, 609, 6534, 16209, 543, 15532, 269, 901, 3797, 1058, 581, 1031, 15891, 13124, 538, 2550, 609, 3742, 11702, 267, 538, 1346, 2921, 1884, 4815, 698, 592, 1218, 267, 543, 538, 1346, 538, 7247, 8236, 10138, 646, 2865, 12118, 814, 1044, 2352, 563, 12850, 16513, 17885, 9126, 19065, 359, 575, 17344, 956, 543, 575, 1144, 267, 952, 8612, 19065, 359, 900, 8412, 16935, 19065, 359, 25062, 11125, 908, 3070, 19065, 359, 17309, 19065, 359, 25062, 17309, 19065, 359, 25062, 23805, 19065, 359, 32028, 1606, 11232, 14950, 19065, 359, 12555, 6539, 609, 861, 16206, 19065, 359, 32137, 8685, 532, 19065, 359, 27549, 666, 3563, 8685, 532, 19065, 359, 2960, 2149, 656, 26763, 19065, 359, 27549, 666, 3563, 19065, 359, 2942, 25774, 10138, 3797, 1770, 19065, 359, 7893, 1907, 543, 3391, 563, 2690, 674, 27961, 13268, 532, 454, 293, 27961, 24386, 19065, 359, 12001, 19703, 3797, 1951, 701, 563, 2690, 717, 879, 2763, 13268, 532, 454, 15239, 611, 6254, 12238, 2763, 19065, 359, 21734, 12238, 2763, 24386, 5848, 2989, 609, 25062, 3339, 29649, 3070, 19065, 359, 8963, 19065, 359, 26723, 3912, 14816, 13594, 19065, 359, 12001, 19703, 4433, 1916, 27609, 566, 540, 16811, 454, 2026, 14517, 519, 2942, 25774, 10138, 3797, 1770, 693, 519, 5127, 2515, 2687, 547, 519, 10672, 779, 5528, 269, 5590, 2942, 2604, 2687, 547, 519, 4387, 779, 1931, 630, 1839, 547, 476, 1220, 6515, 29666, 264, 543, 519, 10672, 779, 5528, 269, 16259, 513, 1747, 585, 519, 7727, 1369, 3914, 563, 310, 1301, 519, 25062, 11125, 908, 3070, 547, 476, 3445, 4113, 547, 476, 4817, 13790, 630, 3953, 4113, 547, 476, 3374, 9180, 264, 547, 2569, 9636, 269, 32449, 11125, 908, 3070, 883, 519, 8708, 540, 519, 12555, 6539, 563, 19723, 1518, 519, 4387, 779, 1931, 585, 4908, 540, 19703, 2242, 267, 1826, 540, 2942, 25774, 1770, 267, 1826, 540, 10138, 24386, 267, 543, 5468, 585, 519, 2942, 25774, 1770, 543, 2708, 519, 3461, 779, 2783, 563, 18183, 3305, 519, 3461, 779, 3961, 1210, 693, 2547, 1079, 3461, 1541, 13294, 2687, 547, 707, 9744, 779, 3609, 269, 273, 454, 23737, 519, 5650, 547, 519, 3461, 269, 8382, 782, 2055, 547, 6175, 4160, 543, 2333, 9316, 563, 8110, 845, 1688, 9882, 543, 2322, 593, 17309, 269, 274, 267, 275, 267, 276, 1403, 2556, 267, 2322, 593, 513, 575, 1144, 543, 575, 17344, 956, 547, 2149, 3054, 689, 10138, 12775, 543, 12526, 563, 10112, 612, 519, 3461, 779, 2783, 269, 5709, 622, 519, 3461, 585, 1928, 267, 952, 2877, 543, 607, 10288, 267, 1354, 4098, 519, 5650, 563, 20278, 513, 32028, 1606, 11232, 14950, 896, 519, 3461, 547, 6952, 1022, 29908, 543, 2057, 32028, 2242, 269, 19024, 519, 3461, 547, 1450, 5021, 10138, 4598, 269, 9255, 519, 900, 8412, 16935, 896, 519, 10138, 547, 2445, 1022, 12775, 563, 8794, 25062, 4480, 267, 5965, 513, 25062, 2361, 543, 1747, 782, 519, 7727, 593, 519, 25062, 2361, 563, 7230, 913, 519, 3037, 539, 19703, 543, 1167, 731, 621, 538, 519, 28890, 17885, 9126, 269, 17179, 707, 17309, 563, 296, 337, 3419, 622, 519, 10138, 8499, 1210, 519, 3339, 29649, 3070, 543, 519, 12555, 861, 16206, 269, 630, 8450, 968, 310, 895, 12555, 2223, 2985, 476, 278, 4817, 8094, 27662, 519, 1858, 1472, 519, 10138, 609, 3339, 29649, 3070, 282, 26763, 16856, 2960, 609, 513, 2960, 2149, 656, 26763, 543, 1450, 621, 547, 3819, 1134, 269, 17179, 543, 1167, 731, 707, 17309, 563, 26835, 8242, 267, 1863, 4930, 269, 15012, 938, 1855, 5586, 1090, 8756, 454, 17359, 1569, 286, 5192, 11916, 10326, 0, 5141, 541, 6839, 13447, 657, 616, 930, 540, 519, 1034, 11537, 1568, 538, 8106, 2575, 563, 4322, 4773, 13686, 519, 17545, 543, 2769, 4369, 540, 519, 5587, 6839, 267, 606, 6293, 602, 814, 1044, 1031, 538, 19762, 560, 1537, 2575, 585, 5553, 563, 5804, 20787, 691, 547, 12672, 7322, 267, 972, 616, 9118, 5587, 6839, 13447, 657, 602, 723, 11542, 519, 1449, 540, 942, 543, 3136, 547, 25407, 9458, 2221, 563, 288, 5587, 6839, 13447, 334, 568, 513, 7574, 5888, 602, 2934, 519, 5587, 6839, 607, 519, 21088, 6293, 267, 10483, 676, 606, 32316, 563, 4322, 4773, 3335, 2874, 540, 1614, 610, 2185, 5322, 543, 13686, 519, 2930, 543, 22192, 5759, 540, 519, 5587, 6839, 626, 563, 763, 32316, 2488, 513, 18932, 543, 6422, 20457, 585, 519, 21088, 626, 267, 2870, 513, 3638, 543, 1950, 7574, 1995, 563, 5141, 541, 6839, 13447, 657, 723, 1044, 7768, 676, 930, 540, 519, 6574, 8106, 25803, 267, 1519, 20787, 691, 267, 32544, 267, 23347, 916, 267, 543, 715, 1408, 11420, 267, 1851, 1866, 563, 15371, 596, 2461, 513, 19023, 5587, 6839, 6345, 610, 3274, 513, 24158, 540, 8106, 2575, 267, 972, 779, 1100, 27102, 519, 5898, 543, 1379, 540, 513, 1134, 2275, 2761, 539, 5587, 6839, 13447, 334, 563, 4322, 4773, 616, 513, 15266, 547, 519, 11972, 9029, 540, 519, 5587, 6839, 607, 606, 6293, 543, 519, 5876, 543, 5578, 540, 519, 25803, 945, 723, 2854, 873, 563, 5804, 519, 865, 2130, 23964, 540, 20787, 691, 547, 519, 795, 1794, 5414, 18819, 540, 717, 619, 327, 7773, 267, 972, 779, 513, 5587, 6839, 13447, 334, 856, 972, 585, 3025, 547, 2972, 563, 14532, 540, 22548, 6839, 19270, 1068, 657, 454, 5445, 723, 1044, 2854, 676, 1082, 1390, 25803, 543, 5340, 676, 930, 540, 519, 1034, 16805, 5587, 6839, 1235, 538, 1686, 563, 1607, 3296, 786, 2263, 519, 1686, 540, 5587, 6839, 13447, 657, 267, 689, 741, 2038, 20297, 547, 519, 1459, 1554, 563, 15900, 22548, 6839, 19270, 1068, 657, 454, 763, 1101, 5587, 6839, 13447, 657, 941, 2854, 538, 519, 4571, 268, 1240, 628, 2540, 563, 4322, 2038, 13447, 657, 941, 7768, 585, 519, 669, 531, 2541, 879, 267, 513, 31317, 547, 519, 2413, 5587, 6839, 563, 3080, 540, 519, 1034, 4583, 2038, 5587, 6839, 13447, 657, 568, 20787, 691, 779, 22548, 6839, 19270, 15300, 538, 589, 11683, 267, 799, 729, 7768, 538, 476, 9692, 272, 563, 1607, 13447, 334, 568, 1869, 4922, 5340, 2221, 543, 568, 2808, 835, 540, 519, 6574, 1568, 538, 519, 5587, 6839, 27132, 563, 305, 558, 4842, 16527, 22548, 6839, 19270, 1068, 657, 454, 7628, 519, 21434, 5736, 267, 519, 5587, 6839, 2968, 513, 2442, 21088, 6293, 543, 1082, 1390, 5587, 6839, 13447, 657, 941, 7768, 563, 3080, 540, 519, 1034, 4583, 21434, 268, 5028, 5587, 6839, 13447, 657, 568, 519, 32544, 22548, 6839, 19270, 15300, 3143, 269, 476, 272, 538, 674, 19724, 267, 799, 729, 7768, 538, 476, 8687, 272, 563, 1607, 13447, 334, 568, 1634, 585, 922, 4075, 340, 657, 545, 5587, 6839, 1603, 543, 4190, 23964, 563, 5194, 4583, 21434, 268, 5028, 5587, 6839, 13447, 334, 568, 519, 23347, 916, 22548, 6839, 19270, 15300, 538, 589, 11683, 267, 799, 729, 7768, 538, 476, 6245, 272, 269, 901, 13447, 334, 568, 1634, 585, 922, 4190, 3500, 3350, 543, 4075, 340, 657, 545, 5587, 6839, 1603, 563, 17457, 22548, 6839, 19270, 1068, 657, 454, 1103, 519, 476, 736, 628, 2540, 267, 1082, 1390, 25803, 4797, 547, 2328, 5587, 6839, 13447, 657, 563, 3080, 540, 519, 1034, 4583, 2413, 5587, 6839, 13447, 657, 568, 519, 10515, 1633, 22548, 6839, 19270, 15300, 267, 799, 729, 7768, 538, 476, 3707, 279, 269, 901, 13447, 334, 568, 1634, 585, 922, 795, 1794, 5414, 18819, 543, 4190, 23964, 563, 5194, 4583, 2413, 5587, 6839, 13447, 334, 568, 519, 715, 1408, 11420, 22548, 6839, 19270, 15300, 267, 799, 729, 7768, 538, 476, 4572, 279, 269, 901, 13447, 334, 568, 1634, 585, 922, 4075, 340, 657, 545, 5587, 6839, 1603, 543, 4190, 23964, 563, 20007, 1664, 543, 12856, 540, 22548, 6839, 19270, 1068, 657, 454, 5141, 541, 6839, 9828, 538, 19270, 1068, 657, 454, 268, 3203, 545, 1637, 281, 519, 1259, 519, 1685, 518, 6238, 543, 7475, 1142, 4063, 454, 268, 966, 2320, 6737, 281, 513, 13581, 8390, 538, 12334, 602, 5932, 513, 15911, 267, 21950, 3280, 454, 268, 2558, 1571, 281, 513, 4028, 3124, 566, 1063, 1079, 4967, 454, 268, 3794, 1170, 18372, 281, 23510, 689, 835, 4063, 547, 1776, 454, 268, 853, 3147, 6737, 281, 2110, 267, 1033, 3737, 4967, 454, 268, 6181, 6737, 281, 5347, 267, 4448, 4967, 454, 268, 18868, 281, 2242, 538, 4320, 454, 8110, 845, 619, 1590, 723, 513, 1164, 1377, 540, 2930, 15334, 547, 14892, 891, 2553, 3927, 269, 1358, 1590, 849, 723, 513, 1434, 1620, 540, 519, 2497, 540, 519, 13447, 334, 547, 917, 950, 547, 946, 891, 2553, 563, 1805, 4450, 540, 22548, 6839, 19270, 1068, 657, 454, 7197, 5587, 6839, 13447, 657, 1246, 513, 1614, 2173, 913, 618, 2497, 281, 3728, 1606, 869, 1922, 770, 563, 763, 1101, 3350, 568, 2356, 519, 13074, 543, 1034, 1950, 267, 10023, 519, 21088, 626, 538, 4075, 340, 657, 545, 15102, 543, 2930, 10525, 563, 763, 2034, 3350, 568, 3335, 14887, 543, 811, 11430, 3740, 267, 3850, 519, 21088, 626, 547, 13686, 741, 22192, 5759, 563, 763, 3803, 3350, 568, 1419, 513, 18512, 543, 17615, 3803, 324, 267, 8744, 519, 13447, 334, 547, 513, 13858, 3932, 563, 763, 2497, 540, 513, 5587, 6839, 13447, 334, 568, 2147, 547, 602, 540, 824, 8106, 13447, 657, 267, 971, 607, 1346, 585, 14440, 610, 30413, 269, 898, 3335, 5161, 540, 912, 268, 1401, 6570, 281, 519, 6881, 540, 519, 1292, 4798, 676, 519, 32316, 454, 268, 4886, 281, 519, 3408, 543, 11840, 566, 540, 891, 4798, 676, 519, 21088, 626, 543, 32316, 454, 268, 1234, 5115, 527, 1637, 281, 519, 2132, 540, 519, 1292, 4798, 538, 741, 3312, 1106, 454, 268, 595, 18649, 281, 513, 25759, 3296, 602, 6770, 519, 13447, 334, 547, 513, 2673, 454, 763, 21088, 626, 568, 1419, 2016, 519, 4316, 547, 27906, 1047, 610, 30996, 880, 519, 2575, 1282, 519, 1646, 3296, 267, 15386, 741, 2930, 543, 7574, 5759, 563, 763, 32316, 2488, 513, 11215, 1909, 267, 18913, 519, 21088, 626, 543, 10223, 519, 1292, 4798, 563, 293, 13904, 22548, 6839, 19270, 1068, 657, 454, 2691, 621, 2501, 547, 5587, 6839, 13447, 657, 267, 972, 616, 1896, 4583, 15885, 602, 1796, 856, 269, 3371, 616, 930, 540, 519, 1034, 8037, 3283, 912, 300, 9926, 691, 22548, 6839, 19270, 15300, 454, 763, 20787, 691, 22548, 6839, 19270, 15300, 568, 835, 540, 519, 1034, 4583, 5587, 6839, 13447, 657, 2479, 2854, 269, 1290, 12723, 538, 476, 9692, 272, 267, 621, 568, 849, 835, 540, 20787, 691, 779, 2063, 1568, 563, 763, 13447, 334, 568, 5258, 883, 1614, 5322, 281, 14336, 549, 267, 740, 698, 1470, 267, 543, 678, 32121, 269, 634, 2034, 3350, 267, 740, 698, 1470, 267, 568, 3226, 4583, 585, 922, 4190, 23260, 543, 22192, 4730, 563, 2171, 828, 22548, 6839, 19270, 1068, 657, 454, 2171, 828, 7768, 1079, 5587, 6839, 13447, 657, 267, 1312, 540, 799, 616, 4583, 269, 634, 1101, 13447, 334, 729, 7768, 538, 476, 8687, 272, 543, 519, 2034, 538, 476, 8687, 273, 269, 5637, 13447, 657, 616, 1634, 585, 741, 2930, 7411, 543, 4075, 340, 657, 545, 5587, 6839, 1151, 657, 563, 290, 641, 1633, 22548, 6839, 19270, 15300, 454, 763, 10515, 1633, 22548, 6839, 19270, 15300, 729, 7768, 538, 476, 3707, 279, 543, 568, 835, 540, 519, 1034, 2442, 5587, 6839, 13447, 657, 538, 519, 476, 736, 628, 2540, 563, 763, 13447, 334, 814, 1614, 5322, 543, 2934, 513, 7986, 5587, 6839, 21088, 2429, 269, 634, 2034, 3350, 568, 3226, 8037, 585, 922, 3500, 543, 11430, 3740, 23260, 563, 19226, 17844, 22548, 6839, 19270, 15300, 454, 763, 5685, 17844, 22548, 6839, 19270, 15300, 729, 7768, 538, 476, 3707, 280, 543, 568, 835, 540, 519, 1034, 4583, 1568, 538, 519, 5587, 6839, 27132, 563, 763, 13447, 334, 814, 1614, 5322, 543, 568, 1634, 585, 922, 14264, 3273, 545, 543, 19911, 531, 11551, 3159, 269, 634, 2034, 3350, 267, 740, 698, 1470, 12103, 6845, 5633, 6551, 648, 267, 568, 3226, 4583, 585, 922, 22192, 5587, 6839, 21088, 563, 289, 19207 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 21837, 15966, 1638, 965, 568, 1360, 2442, 538, 519, 2136, 2276, 2943, 3592, 7164, 538, 5333, 267, 543, 568, 2808, 519, 968, 24490, 540, 519, 1148, 540, 2239, 1686, 1848, 3571, 1382, 4718, 1864, 3643, 519, 4025, 2505, 5034, 676, 1010, 5396, 267, 543, 1010, 18512, 2835, 1224, 899, 9089, 269, 32457, 630, 1960, 273, 264, 543, 3627, 17566, 630, 1220, 272, 264, 1142, 4607, 513, 17240, 12688, 15356, 543, 519, 8545, 729, 9862, 607, 606, 670, 19447, 8613, 3126, 267, 799, 4682, 593, 547, 3094, 2185, 13642, 3794, 984, 525, 543, 476, 1724, 2506, 3240, 22952, 269, 769, 634, 20523, 17714, 281, 4892, 538, 8303, 630, 1001, 272, 1070, 646, 1427, 571, 806, 519, 3723, 25074, 540, 519, 1101, 5951, 540, 1977, 17631, 945, 3357, 547, 8303, 538, 519, 476, 866, 628, 2540, 269, 901, 3943, 1995, 729, 23801, 585, 1312, 741, 11678, 543, 519, 4070, 540, 3013, 779, 2104, 1379, 563, 4263, 519, 942, 267, 519, 19679, 326, 1782, 9111, 1185, 6738, 2673, 547, 519, 2025, 12316, 4182, 269, 3414, 15148, 1206, 543, 4172, 1186, 546, 685, 18863, 520, 267, 5333, 1185, 17146, 689, 513, 13338, 21257, 547, 519, 5822, 7276, 267, 1287, 547, 519, 2527, 659, 637, 540, 519, 2155, 2317, 1354, 32543, 18166, 513, 14081, 269, 634, 1433, 5205, 519, 13922, 543, 9909, 540, 713, 19625, 540, 4892, 945, 1185, 2097, 547, 1451, 538, 519, 1158, 779, 2686, 3854, 267, 513, 1747, 1141, 9174, 729, 14949, 982, 5144, 269, 15966, 1638, 965, 6257, 519, 3838, 2833, 540, 5856, 6276, 674, 523, 20095, 23101, 267, 519, 3811, 2278, 540, 634, 7831, 540, 519, 15011, 15092, 267, 4498, 28625, 2142, 1815, 615, 853, 578, 324, 267, 2278, 540, 1133, 2193, 8751, 779, 16410, 514, 267, 18048, 15656, 5651, 572, 267, 945, 8120, 1753, 547, 6427, 519, 5122, 751, 25393, 267, 26719, 6307, 18706, 3430, 543, 3627, 590, 5424, 590, 1173, 550, 267, 10906, 4563, 6202, 267, 519, 13653, 540, 519, 1101, 6413, 538, 1715, 3840, 4975, 7307, 676, 2021, 267, 5856, 543, 2196, 12537, 10553, 5261, 28243, 9466, 267, 543, 519, 2104, 20552, 626, 6845, 1807, 8176, 5681, 1676, 269, 1452, 5515, 782, 2919, 741, 9163, 543, 941, 23353, 676, 741, 942, 538, 8303, 269, 634, 20523, 17714, 568, 513, 1259, 547, 1732, 1174, 519, 3943, 9371, 1369, 519, 1686, 540, 875, 3013, 729, 3710, 563, 293, 8896, 5025, 332, 2946, 686, 4302, 281, 1548, 17275, 707, 1719, 538, 5333, 267, 543, 8303, 538, 1880, 888, 21837, 15966, 1638, 965, 281, 3143, 1977, 666, 3111, 547, 581, 24330, 950, 3168, 693, 1018, 649, 28297, 5333, 269, 15742, 1919, 602, 649, 3494, 547, 581, 7357, 1977, 616, 538, 1249, 711, 1977, 693, 782, 269, 1284, 1058, 4061, 2744, 513, 1732, 1620, 540, 938, 2686, 5072, 269, 1284, 723, 1419, 4121, 1454, 689, 1390, 2367, 543, 2021, 689, 13383, 269, 594, 729, 19832, 676, 713, 1641, 267, 543, 594, 6068, 1603, 713, 1433, 269, 594, 3323, 1250, 1382, 609, 513, 3140, 1353, 540, 513, 1895, 540, 1977, 2564, 1053, 945, 4682, 547, 8303, 547, 3136, 741, 2069, 269, 898, 568, 1271, 547, 8275, 602, 1686, 1281, 711, 14311, 1445, 593, 6214, 543, 4108, 6927, 269, 3778, 568, 849, 827, 1148, 267, 2093, 267, 2575, 267, 6189, 1107, 1169, 2361, 16697, 762, 256, 3683, 519, 1279, 3856, 267, 2242, 538, 2528, 616, 1419, 1018, 1293, 519, 1034, 269, 634, 5716, 538, 891, 4610, 17330, 1175, 607, 1454, 3007, 607, 14761, 269, 769, 1250, 22808, 827, 17566, 543, 32457, 267, 543, 538, 1250, 3105, 1568, 267, 594, 5941, 3943, 12677, 13218, 1369, 519, 2796, 540, 519, 24861, 22575, 543, 519, 27201, 15167, 267, 609, 922, 1062, 540, 19316, 25101, 1309, 1170, 976, 2919, 538, 5333, 269, 634, 4161, 729, 1287, 547, 2824, 519, 1344, 602, 8694, 909, 538, 713, 1433, 269, 594, 1185, 865, 1082, 4277, 5013, 827, 713, 1895, 540, 4892, 602, 594, 1223, 723, 2854, 513, 2898, 1433, 593, 1142, 540, 741, 2729, 269, 2311, 519, 4090, 1496, 514, 476, 1001, 275, 3910, 594, 993, 1603, 513, 1433, 827, 519, 19159, 14552, 267, 1079, 1977, 18229, 23806, 267, 945, 849, 6170, 942, 538, 5333, 563, 3963, 1705, 1100, 835, 2328, 827, 4892, 538, 8303, 1282, 519, 476, 866, 628, 2540, 1354, 596, 888, 296, 1810, 1406, 1174, 1946, 267, 855, 594, 993, 30590, 602, 1100, 835, 6743, 883, 713, 851, 540, 1686, 1354, 269, 594, 723, 1185, 1863, 5368, 256, 594, 5433, 899, 513, 22082, 950, 594, 729, 1210, 2959, 602, 1185, 711, 1044, 6594, 2394, 1631, 563, 1692, 1705, 596, 4163, 856, 707, 1382, 888, 1607, 1433, 4564, 2947, 1296, 540, 960, 269, 1306, 1134, 607, 519, 12190, 7240, 2460, 267, 594, 849, 14612, 547, 8303, 1896, 2053, 269, 1280, 1383, 267, 594, 15336, 519, 1482, 10754, 547, 2638, 602, 621, 3576, 476, 736, 3764, 547, 1205, 547, 513, 13186, 689, 606, 19887, 269, 594, 1705, 711, 1331, 3943, 2959, 267, 607, 594, 4941, 547, 1427, 1778, 606, 14311, 1977, 5133, 269, 4634, 1498, 930, 540, 891, 5515, 616, 7164, 538, 5333, 267, 789, 782, 2663, 2968, 4583, 538, 741, 1114, 10459, 269, 1358, 2366, 5022, 547, 519, 2136, 2276, 267, 5206, 2123, 1019, 2456, 267, 543, 4547, 873, 1394, 547, 3013, 269, 4256, 21517, 616, 1631, 1336, 2066, 513, 1804, 1297, 540, 1977, 8021, 563, 14085, 540, 519, 4892, 538, 707, 1433, 12038, 3943, 269, 1548, 941, 741, 12632, 543, 741, 18144, 888, 5591, 267, 9039, 540, 873, 12038, 3943, 267, 799, 568, 835, 540, 519, 1034, 11141, 1919, 1851, 782, 741, 18517, 269, 5994, 891, 2564, 1053, 267, 9039, 540, 7247, 1185, 1022, 1483, 4081, 2866, 267, 538, 519, 22984, 540, 5215, 540, 1053, 693, 513, 8303, 1014, 6280, 267, 8572, 547, 3717, 513, 2262, 540, 741, 1893, 256, 7324, 519, 7366, 540, 1977, 1053, 945, 8452, 1169, 1032, 267, 594, 1705, 711, 1265, 513, 2582, 835, 945, 14460, 741, 2090, 538, 5333, 269, 1358, 782, 3409, 547, 723, 1185, 519, 1655, 1296, 540, 741, 2729, 538, 8303, 269, 4256, 12632, 616, 1360, 3309, 282, 789, 1185, 513, 2596, 2069, 543, 1034, 540, 873, 941, 4057, 269, 1809, 789, 941, 782, 26525, 547, 1451, 269, 8303, 729, 519, 2686, 3854, 1282, 519, 476, 866, 628, 2540, 282, 519, 1480, 2247, 543, 5876, 941, 1312, 3015, 543, 4371, 538, 519, 5207, 22644, 269, 1717, 267, 713, 568, 1100, 18912, 9661, 269, 6833, 12288, 2621, 543, 2797, 15148, 1206, 3576, 1747, 1282, 891, 1296, 269, 4658, 4941, 547, 2097, 547, 8303, 1317, 713, 7552, 1558, 513, 1978, 991, 267, 2943, 1360, 1906, 18423, 538, 5333, 17046, 569, 19952, 269, 1358, 1185, 5631, 2097, 3168, 585, 1945, 540, 1871, 585, 741, 11678, 543, 741, 1004, 538, 3013, 269, 634, 2136, 2276, 729, 1373, 3710, 693, 519, 942, 282, 621, 729, 513, 4182, 896, 4070, 269, 634, 2564, 3506, 941, 1273, 4854, 267, 543, 972, 941, 1100, 1148, 610, 6189, 3506, 269, 4841, 1185, 547, 2097, 547, 5333, 547, 1451, 875, 547, 5862, 563, 1692, 798, 596, 2491, 14081, 534, 4892, 685, 1719, 538, 543, 18656, 10885, 2509, 16313, 338, 971, 607, 8402, 268, 24589, 2089, 324, 267, 610, 14890, 19167, 8633, 888, 25567, 320, 1281, 711, 899, 28370, 610, 18211, 7100, 267, 855, 8402, 268, 24589, 2089, 324, 729, 15874, 585, 519, 942, 646, 1185, 6170, 538, 3013, 1354, 934, 5338, 547, 519, 17599, 269, 1496, 763, 2104, 4622, 267, 945, 729, 608, 6150, 1282, 519, 3943, 7169, 267, 5030, 538, 519, 2136, 2276, 689, 476, 9692, 277, 547, 476, 9692, 280, 269, 1261, 10272, 15740, 267, 1715, 3840, 4975, 267, 9098, 267, 543, 519, 4279, 20463, 20426, 19167, 8633, 729, 849, 25343, 269, 1261, 12038, 31402, 2296, 543, 4951, 1390, 1719, 538, 519, 7521, 1472, 2093, 543, 2413, 1143, 585, 4683, 543, 2804, 1646, 563, 12441, 8176, 5681, 1676, 779, 22038, 1689, 519, 1554, 646, 4718, 513, 4563, 2875, 693, 519, 29813, 2548, 928, 888, 2171, 786, 2760, 917, 952, 646, 1131, 723, 3323, 513, 4876, 538, 6214, 5885, 519, 20552, 626, 2014, 1510, 713, 1995, 269, 1809, 519, 2680, 568, 711, 1175, 513, 14787, 779, 3069, 282, 646, 2965, 5206, 827, 519, 1764, 621, 1185, 593, 1864, 538, 1010, 19701, 269, 594, 8969, 602, 1022, 824, 10071, 1131, 723, 6273, 1864, 547, 1831, 606, 20552, 626, 269, 769, 3013, 267, 646, 1131, 2760, 723, 2938, 513, 4563, 1268, 693, 513, 6280, 267, 5701, 713, 1259, 676, 741, 9905, 267, 543, 9849, 519, 1482, 9660, 607, 741, 15032, 563, 7628, 519, 2155, 2317, 538, 476, 6942, 271, 268, 6942, 272, 267, 519, 772, 2529, 269, 5605, 26513, 18379, 16852, 25169, 10767, 928, 15189, 547, 10205, 1010, 2022, 269, 16393, 596, 2995, 721, 811, 888, 3891, 729, 519, 1152, 11347, 540, 513, 2101, 2197, 945, 1705, 711, 4734, 8303, 269, 1261, 1981, 539, 1010, 1272, 1169, 1554, 585, 519, 1004, 540, 8303, 269, 3571, 6609, 540, 519, 2621, 568, 835, 540, 519, 1034, 3407, 6589, 602, 649, 723, 267, 538, 1022, 1893, 269, 1656, 1100, 835, 1185, 6594, 1010, 12591, 1354, 803, 563, 2710, 519, 2101, 3943, 14868, 602, 616, 1869, 851, 540, 519, 1977, 7104, 9345, 267, 971, 607, 11477, 6575, 543, 8303, 1014, 2021, 267, 4266, 1394, 547, 713, 1974, 888, 8133, 269, 3502, 1152, 1705, 519, 4892, 2648, 8303, 267, 789, 849, 17329, 519, 3943, 269, 634, 1646, 540, 1098, 520, 23007, 3444, 902, 267, 609, 519, 12625, 540, 2848, 4461, 4721, 22892, 593, 2834, 3515, 267, 4625, 9927, 519, 10707, 1995, 1107, 1454, 899, 2413, 18229, 814, 2221, 269, 898, 729, 513, 2930, 4838, 602, 13087, 811, 543, 811, 4892, 547, 2097, 547, 8303, 267, 543, 4847, 891, 14868, 547, 2731, 1491, 3597, 563, 3963, 568, 2239, 1686, 267, 540, 799, 596, 616, 513, 2101, 4137, 267, 865, 4686, 538, 5333, 888, 6546, 779, 513, 1434, 2243, 267, 543, 594, 1810, 1406, 2731, 917, 519, 2626, 269, 901, 568, 875, 594, 2328, 6923, 267, 607, 851, 540, 513, 32618, 1977, 2245, 269, 634, 2856, 568, 711, 3274, 547, 2328, 585, 824, 12206, 855, 585, 519, 2489, 1857, 267, 865, 602, 789, 666, 1451, 1018, 3357, 1354, 721, 543, 4324, 689, 713, 1995, 269, 0, 2304, 659, 25352, 6645, 519, 6397, 1650, 540, 519, 1158, 781, 4102, 13131, 15030, 9287, 676, 20908, 14243, 338, 681, 643, 553, 267, 519, 3768, 529, 1584, 539, 4274, 593, 519, 7350, 540, 606, 659, 1180, 553, 267, 713, 568, 519, 1101, 22265, 1433, 593, 519, 7350, 540, 519, 3039, 606, 659, 25352, 269, 769, 713, 1433, 267, 681, 643, 553, 6257, 1010, 2833, 936, 513, 10116, 540, 513, 2540, 267, 3695, 519, 5728, 1272, 540, 891, 9735, 15315, 267, 1519, 281, 741, 2732, 267, 3350, 3270, 267, 1272, 543, 5513, 2827, 267, 6668, 267, 2623, 267, 543, 4241, 10285, 1272, 269, 2859, 982, 1175, 9306, 5013, 827, 606, 659, 1180, 553, 267, 681, 643, 553, 6645, 1010, 1650, 827, 4974, 873, 538, 519, 2361, 269, 2304, 659, 25352, 6799, 513, 3102, 2126, 540, 519, 2067, 1686, 540, 519, 21792, 3039, 606, 659, 1180, 553, 269, 14301, 593, 8938, 19317, 1296, 540, 1382, 593, 713, 16277, 850, 538, 519, 3552, 543, 538, 24811, 267, 681, 643, 553, 12538, 883, 519, 7350, 267, 2623, 267, 1629, 2762, 267, 10285, 6208, 267, 543, 2732, 540, 519, 606, 659, 25352, 267, 607, 1134, 607, 2152, 11341, 547, 922, 5726, 269, 681, 643, 553, 3096, 606, 8733, 543, 12105, 5943, 547, 1459, 1010, 1382, 543, 9360, 2182, 1239, 609, 11673, 540, 1010, 1382, 2409, 267, 1519, 875, 646, 27424, 1524, 519, 606, 659, 25352, 585, 8343, 543, 1353, 538, 3552, 269, 634, 4611, 1433, 568, 513, 2347, 543, 2502, 6514, 540, 519, 1158, 781, 4102, 13131, 7868, 3638, 11147, 3177, 267, 19610, 609, 681, 643, 553, 262, 9423, 267, 2306, 713, 519, 3501, 1433, 585, 4896, 3168, 547, 1451, 630, 528, 1256, 1451, 811, 14386, 827, 713, 12357, 13131, 269, 0, 3963, 616, 1250, 28278, 22645, 19462, 7432, 3109, 888, 2252, 519, 1973, 10009, 568, 2759, 1055, 538, 707, 28278, 15743, 779, 19462, 267, 789, 786, 2490, 3109, 543, 2887, 1055, 269, 769, 1114, 3871, 267, 621, 779, 1271, 547, 1118, 2386, 547, 5512, 1973, 10009, 547, 2061, 27394, 15727, 630, 323, 3539, 540, 519, 5160, 1916, 3963, 568, 1250, 28278, 15743, 3109, 782, 936, 888, 14454, 1560, 2681, 2242, 543, 581, 731, 2681, 2242, 949, 2049, 7444, 607, 707, 28278, 15743, 9428 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3345, 3013, 563, 265, 2878, 293, 880, 595, 4900, 4995, 5381, 538, 2450, 543, 3337, 547, 519, 1977, 18844, 267, 12551, 595, 4900, 30107, 513, 811, 1950, 1305, 540, 7125, 269, 1306, 741, 2012, 5267, 267, 789, 2648, 16304, 1472, 19126, 267, 8933, 267, 543, 12647, 327, 2803, 267, 20414, 3165, 543, 824, 12748, 13000, 563, 265, 2878, 307, 4821, 592, 760, 553, 595, 4900, 4995, 9540, 518, 982, 1312, 1977, 543, 12551, 595, 4900, 267, 570, 4821, 592, 760, 553, 595, 4900, 9468, 7013, 7147, 2059, 519, 11204, 8473, 269, 1358, 3870, 10859, 268, 13449, 8916, 899, 5260, 2335, 553, 543, 2250, 999, 269, 21452, 267, 7429, 1866, 945, 32603, 1055, 1310, 9960, 4005, 267, 713, 19619, 11148, 547, 6529, 1927, 2429, 519, 1032, 780, 3086, 602, 649, 917, 827, 891, 6909, 5017, 267, 1946, 798, 789, 22109, 286, 5994, 952, 707, 1753, 10393, 2968, 1932, 3905, 610, 4411, 1317, 540, 4657, 12405, 282, 9327, 1405, 596, 1616, 547, 1847, 12341, 1732, 14018, 547, 707, 2115, 286, 2334, 781, 4010, 1018, 4665, 919, 2831, 899, 524, 4900, 547, 3640, 909, 543, 5734, 519, 4155, 630, 528, 22839, 1040, 1635, 10707, 1063, 4832, 543, 5162, 4525, 267, 789, 2327, 1569, 547, 1426, 2959, 267, 20282, 3255, 267, 543, 5078, 16374, 780, 300, 12568, 3884, 1405, 2141, 2653, 1498, 269, 20002, 3068, 3875, 2591, 971, 607, 1279, 9883, 267, 10792, 4365, 2175, 267, 11975, 267, 543, 4044, 1049, 7965, 269, 1677, 7753, 891, 9465, 267, 524, 4900, 946, 21056, 267, 2067, 6419, 4229, 267, 543, 5310, 1034, 23666, 1947, 267, 3965, 256, 3683, 942, 267, 7820, 5481, 27836, 4121, 11507, 689, 741, 22242, 267, 4180, 2922, 8574, 585, 2104, 5481, 780, 3719, 875, 1281, 1480, 2534, 1860, 4955, 5928, 286, 4279, 2243, 256, 3776, 9750, 4872, 7369, 8916, 543, 1711, 7496, 267, 27200, 2757, 8038, 1811, 630, 332, 12568, 10092, 264, 543, 16550, 5017, 883, 14542, 11182, 269, 5047, 267, 5533, 8764, 919, 2899, 29814, 7297, 267, 4227, 2139, 1426, 7727, 269, 6736, 891, 23665, 267, 1082, 524, 4900, 3136, 15268, 267, 4466, 1007, 2081, 547, 30598, 7258, 721, 780, 1103, 3932, 267, 4974, 3662, 9194, 3270, 3947, 721, 3407, 4030, 883, 2470, 781, 6946, 29478, 269, 4197, 875, 7068, 899, 524, 4900, 6330, 938, 6422, 1158, 7512, 6568, 2509, 7320, 1247, 11121, 7279, 827, 3047, 781, 16221, 13300, 269, 5808, 6487, 267, 6148, 1985, 942, 596, 5873, 513, 7715, 781, 1289, 267, 596, 3513, 4898, 2436, 621, 781, 1175, 8429, 998, 610, 10912, 7147, 1753, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2252, 596, 4076, 2479, 9289, 827, 519, 3309, 2249, 540, 524, 4900, 538, 7147, 267, 1413, 1100, 2417, 269, 901, 2376, 786, 1683, 596, 609, 513, 2143, 7650, 540, 519, 1977, 18844, 267, 12551, 18844, 267, 3345, 13523, 18844, 267, 570, 4821, 592, 760, 553, 18844, 267, 932, 8811, 340, 1695, 10224, 681, 13273, 267, 6215, 2658, 1532, 2683, 18844, 267, 24622, 8932, 18844, 267, 966, 14489, 18844, 267, 543, 6519, 1532, 2683, 18844, 563, 10376, 2249, 568, 2189, 538, 922, 5920, 543, 2623, 267, 543, 1620, 873, 786, 2285, 596, 513, 4514, 7071, 585, 519, 26624, 4763, 538, 519, 700, 821, 10060, 3557, 563, 268, 1977, 18844, 267, 12551, 18844, 267, 543, 3345, 13523, 18844, 616, 3810, 22537, 543, 1336, 538, 1585, 9249, 538, 7147, 563, 268, 595, 4900, 538, 7147, 616, 1634, 585, 741, 4987, 543, 4199, 6888, 563, 268, 12124, 1436, 538, 7147, 5540, 519, 2551, 543, 2623, 540, 524, 4900, 563, 268, 595, 4900, 538, 7147, 28532, 2282, 1216, 4703, 267, 8023, 593, 3165, 543, 12933, 30702, 563, 2791, 666, 3362, 2697, 519, 1977, 7715, 676, 922, 3982, 524, 1177, 532, 3280, 269, 1977, 524, 4900, 616, 3810, 22537, 543, 666, 581, 1336, 538, 1585, 9249, 2066, 3345, 3013, 267, 1519, 7733, 267, 1930, 4610, 267, 543, 1256, 2712, 9346, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 27154, 24779, 18963, 257, 607, 851, 540, 834, 2793, 307, 13543, 1315, 12292, 1315, 4937, 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, 834, 17471, 4804, 281, 10289, 4065, 15907, 519, 2622, 5016, 8893, 476, 274, 281, 2160, 5020, 538, 3162, 9705, 781, 22084, 534, 4975, 692, 7072, 912, 5331, 596, 616, 827, 547, 1376, 707, 6280, 2090, 538, 513, 14297, 267, 7524, 2749, 4904, 609, 1236, 903, 322, 1905, 619, 267, 8949, 1426, 267, 543, 7874, 1004, 945, 3717, 513, 1114, 1893, 256, 4653, 267, 649, 786, 2263, 1018, 621, 1522, 581, 899, 952, 596, 941, 547, 7390, 2852, 538, 22084, 534, 267, 3162, 9705, 781, 2034, 4102, 1558, 24227, 269, 1284, 786, 1451, 875, 930, 9945, 972, 10950, 3486, 1053, 267, 1247, 1866, 1869, 991, 547, 2087, 741, 1949, 269, 1924, 31617, 909, 607, 649, 4685, 883, 713, 4241, 3460, 2439, 4089, 476, 272, 281, 589, 19663, 7066, 526, 910, 4139, 4841, 538, 22084, 534, 454, 2026, 942, 10596, 267, 7864, 1453, 2661, 538, 22084, 534, 1813, 547, 2242, 538, 1920, 2450, 543, 811, 3885, 3001, 2476, 269, 5221, 540, 713, 267, 1082, 9945, 538, 519, 2749, 1631, 1413, 18246, 547, 16436, 16805, 1053, 689, 1585, 2477, 547, 1353, 972, 269, 1635, 3257, 865, 267, 789, 4126, 547, 2226, 3742, 3786, 4926, 2407, 540, 3309, 5380, 543, 1007, 2093, 269, 5994, 2348, 15032, 689, 782, 1472, 519, 1158, 1107, 3579, 267, 1318, 286, 1809, 1175, 899, 1022, 1747, 267, 1142, 9872, 3091, 2189, 2833, 543, 2591, 585, 1346, 4947, 689, 7192, 541, 780, 4089, 476, 273, 281, 11773, 12267, 1107, 32213, 29550, 454, 5278, 9945, 538, 22084, 534, 5963, 19542, 950, 621, 2501, 547, 22205, 3486, 1053, 269, 1358, 1711, 3636, 4694, 12742, 1141, 3025, 7959, 3769, 543, 12595, 269, 1452, 3506, 960, 2182, 547, 2327, 4914, 1053, 8011, 27268, 998, 2027, 3292, 267, 971, 607, 23468, 2533, 267, 2296, 6030, 267, 543, 2686, 21599, 2238, 269, 3414, 3646, 899, 891, 267, 1312, 2199, 543, 3486, 1053, 2972, 1565, 1927, 543, 1818, 15400, 17052, 2439, 7078, 281, 2913, 781, 1491, 623, 4157, 344, 784, 2817, 2160, 630, 303, 298, 26214, 264, 607, 606, 1383, 269, 623, 298, 26214, 3217, 11348, 538, 5356, 3875, 2200, 2966, 4481, 585, 922, 3486, 2146, 269, 3245, 11114, 1893, 5049, 547, 14609, 344, 3292, 30010, 6469, 543, 3486, 1053, 267, 623, 298, 26214, 5849, 922, 13464, 3788, 18512, 543, 4448, 269, 898, 1256, 2488, 25689, 8720, 24875, 12375, 267, 8027, 3790, 267, 543, 2713, 9276, 585, 2824, 23078, 256, 1215, 5863, 1131, 621, 1745, 547, 4309, 2883, 5351, 3274, 1317, 540, 707, 11235, 1145, 547, 22962, 707, 20030, 693, 623, 298, 26214, 2496, 4089, 476, 274, 281, 19791, 585, 26094, 1107, 12694, 674, 5217, 2368, 30543, 454, 19013, 267, 711, 1169, 6280, 538, 22084, 534, 2306, 621, 2653, 585, 3486, 1053, 547, 4188, 269, 5678, 7496, 267, 14845, 3652, 267, 543, 3668, 540, 1489, 666, 4734, 873, 4743, 4503, 610, 5321, 1157, 269, 3958, 267, 930, 12621, 6560, 609, 3478, 13170, 585, 2875, 1471, 553, 267, 799, 1797, 1761, 1053, 949, 3442, 1776, 2197, 3079, 269, 12321, 1328, 6499, 602, 2439, 12244, 5384, 281, 10925, 3054, 538, 519, 10887, 540, 606, 3486, 2875, 8600, 547, 1353, 538, 22084, 534, 269, 3503, 1524, 1614, 2055, 610, 4145, 596, 1589, 789, 1522, 723, 1354, 6028, 1753, 269, 3973, 267, 16540, 2009, 3435, 585, 1142, 3390, 1759, 593, 1018, 596, 4121, 2221, 269, 9523, 707, 4267, 609, 707, 7649, 610, 1895, 2439, 6962, 912, 9961, 938, 3408, 540, 6280, 1272, 538, 22084, 534, 267, 649, 4362, 602, 4352, 930, 12621, 14133, 693, 3246, 11108, 3255, 585, 3486, 1053, 267, 1866, 1590, 7753, 9465, 547, 3914, 2147, 2157, 269, 17859, 267, 18136, 1053, 689, 13383, 6770, 10373, 2640, 585, 3025, 3238, 269, 18964, 17685, 8590, 5188, 543, 1620, 2337, 1628, 6793, 2950, 543, 22316, 721, 782, 585, 606, 5051, 10562, 1158, 269, 5901, 3695, 543, 3251, 8049, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 24281, 519, 30832, 1782, 4683, 5251, 540, 22084, 534, 267, 3162, 9705, 267, 513, 10296, 6161, 814, 2097, 547, 519, 21282, 540, 519, 4081, 11407, 281, 519, 2298, 540, 2069, 1369, 922, 9945, 8015, 519, 19060, 4724, 3486, 1436, 269, 1306, 3162, 9705, 12066, 956, 609, 513, 15295, 15125, 1248, 6825, 676, 513, 546, 13388, 1782, 1153, 21943, 2551, 267, 9945, 538, 22084, 534, 723, 26490, 1947, 22002, 3486, 1053, 547, 24772, 741, 679, 1503, 618, 2338, 269, 901, 4640, 267, 1247, 31544, 538, 922, 9837, 547, 2844, 519, 21755, 540, 891, 5238, 267, 814, 538, 30541, 1836, 5641, 513, 30425, 593, 519, 19514, 4441, 540, 3872, 17284, 543, 1489, 585, 3486, 1053, 2066, 519, 2749, 779, 2362, 2069, 5251, 563, 763, 2239, 540, 22084, 534, 779, 4081, 7269, 568, 513, 9661, 540, 22880, 24716, 269, 2201, 835, 1688, 267, 1978, 9945, 723, 6913, 862, 754, 762, 1967, 267, 2870, 5054, 602, 8853, 593, 13784, 543, 2518, 6278, 269, 2201, 519, 824, 1688, 267, 513, 1297, 540, 5238, 1265, 2933, 896, 22987, 267, 6849, 31705, 1615, 340, 766, 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, 17138, 281, 1215, 547, 5620, 606, 29055, 16452, 25260, 610, 654, 19123, 9549, 692, 7072, 912, 295, 24031, 513, 16452, 25260, 610, 530, 19123, 2389, 1335, 539, 5428, 568, 606, 5140, 1259, 547, 3142, 9059, 543, 10761, 883, 707, 1272, 269, 901, 3102, 3391, 786, 1683, 596, 609, 782, 519, 2556, 3268, 267, 3877, 267, 543, 5363, 4388, 547, 2327, 602, 707, 2680, 3587, 20605, 269, 3245, 1045, 14591, 543, 23598, 547, 1426, 267, 3756, 267, 543, 24853, 267, 713, 5850, 6227, 3388, 596, 991, 547, 917, 827, 12180, 513, 3811, 543, 22539, 11018, 269, 8528, 296, 269, 19369, 630, 6524, 519, 9549, 2020, 272, 269, 7994, 513, 4266, 543, 942, 454, 15675, 513, 5078, 1554, 543, 5662, 267, 23679, 1282, 3735, 12784, 610, 2038, 10543, 3108, 267, 3246, 15792, 7943, 585, 9205, 2238, 952, 2009, 269, 10432, 1742, 616, 30074, 607, 811, 14538, 1522, 581, 2139, 269, 5901, 1761, 4365, 2175, 538, 2247, 950, 4058, 606, 9205, 11812, 780, 273, 269, 8073, 513, 16823, 1592, 454, 1103, 341, 924, 2828, 945, 2671, 15131, 585, 519, 9589, 1158, 2813, 676, 808, 14389, 18007, 1782, 269, 589, 3575, 540, 6502, 666, 1039, 4763, 543, 1187, 267, 1175, 899, 538, 519, 2835, 256, 6333, 12145, 519, 1297, 540, 28752, 1759, 593, 707, 2230, 7687, 543, 6578, 10148, 780, 274, 269, 5071, 1045, 14591, 454, 17637, 3750, 2275, 10248, 20217, 23401, 670, 690, 342, 11301, 10343, 5022, 267, 11545, 21024, 14786, 267, 610, 9589, 20801, 338, 269, 2422, 533, 1105, 618, 1957, 267, 14589, 20910, 267, 30951, 23935, 267, 543, 824, 21044, 2609, 547, 1711, 24736, 1851, 23700, 269, 2142, 2386, 547, 1331, 1898, 1344, 971, 607, 4266, 267, 942, 267, 4087, 267, 10571, 3009, 630, 322, 739, 6979, 9415, 1070, 543, 1022, 2027, 13668, 630, 324, 3052, 1421, 8744, 12008, 11435, 585, 16074, 6105, 6393, 275, 269, 4643, 23598, 454, 9558, 845, 707, 28379, 883, 513, 9589, 4259, 1210, 1585, 16560, 3688, 6273, 676, 519, 3126, 269, 3371, 616, 930, 2093, 912, 567, 910, 4469, 334, 908, 22250, 281, 667, 4120, 10896, 7401, 8279, 689, 519, 18109, 1210, 10068, 5911, 585, 513, 30811, 670, 690, 342, 11301, 4279, 8065, 1198, 563, 567, 910, 5600, 536, 22395, 281, 18224, 717 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 538, 476, 4350, 271, 269, 589, 1007, 1698, 267, 6720, 841, 543, 19922, 1472, 519, 1698, 1373, 1500, 269, 634, 960, 729, 2944, 676, 7338, 15391, 267, 519, 1924, 5069, 1984, 342, 2431, 269, 769, 513, 2417, 11808, 538, 476, 2735, 276, 267, 519, 7508, 6292, 540, 521, 5661, 729, 8719, 563, 21574, 6339, 19835, 7085, 568, 513, 2185, 3613, 648, 344, 13486, 1984, 609, 606, 522, 32607, 1698, 799, 814, 513, 19922, 269, 898, 814, 1079, 30171, 521, 5661, 543, 1079, 5871, 521, 5661, 5645, 593, 513, 5641, 4401, 2842, 3333, 10762, 269, 634, 1698, 568, 2842, 539, 676, 513, 6720, 841, 563, 763, 1984, 949, 723, 3323, 1272, 609, 1079, 5871, 521, 5661, 543, 1079, 11354, 521, 5661, 5645, 593, 513, 11308, 2842, 3333, 10762, 607, 519, 11308, 804, 5684, 6186, 4858, 651, 24747, 814, 1185, 547, 581, 19034, 609, 24386, 4773, 547, 5512, 621, 547, 3514, 519, 1699, 2842, 3333, 10762, 267, 799, 1373, 540, 4401, 568, 513, 4130, 8006, 982, 513, 11308, 835, 1131, 581, 269, 634, 9931, 1077, 568, 540, 5641, 4401, 267, 5645, 593, 513, 11308, 20005, 14788, 269, 901, 11438, 519, 4279, 1975, 584, 24747, 267, 799, 568, 540, 4401, 609, 11308, 524, 9233, 543, 22755, 519, 1079, 8424, 540, 1984, 18429, 896, 20142, 3424, 269, 589, 3791, 6292, 729, 3773, 950, 9252, 1379, 729, 8704, 269, 8307, 835, 6292, 540, 1984, 18429, 3788, 2221, 563, 268, 3627, 6519, 3650, 476, 7277, 274, 1700, 6977, 272, 454, 268, 19291, 29885, 476, 6942, 271, 1700, 6245, 280, 454, 268, 25424, 29885, 476, 6245, 277, 1700, 4489, 279, 454, 21574, 6339, 19835, 7085, 12700, 585, 8866, 269, 918, 1497, 15610, 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 ]
[ 0, 310, 334, 539, 754, 256, 11300, 10837, 454, 307, 527, 1674, 540, 7408, 543, 13279, 2978, 1867, 454, 17843, 3113, 585, 606, 3679, 1532, 848, 5707, 1674, 2978, 282, 798, 519, 6070, 269, 623, 696, 3561, 3406, 585, 606, 25581, 556, 26047, 3446, 267, 3106, 15416, 344, 784, 1066, 329, 5006, 3994, 3679, 268, 17641, 3490, 513, 2178, 5098, 269, 14173, 2488, 513, 1279, 942, 3679, 609, 2178, 3679, 270, 17641, 3490, 5707, 1674, 267, 476, 1001, 272, 1018, 568, 519, 5214, 606, 542, 269, 15154, 827, 1382, 1957, 1603, 3028, 3601, 540, 2780, 17942, 325, 3166, 943, 269, 5851, 282, 2079, 281, 602, 18271, 606, 7164, 5834, 540, 16693, 676, 3679, 1532, 848, 5707, 1674, 2978, 1867, 10733, 269, 4635, 943, 11281, 547, 1685, 513, 4617, 3679, 3490, 5707, 1674, 269, 2904, 1616, 547, 4603, 5161, 540, 2178, 3679, 268, 17641, 3490, 5707, 1674, 281, 606, 1884, 29403, 286, 8382, 543, 649, 786, 581, 513, 8652, 18608, 545, 3679, 543, 519, 5707, 1674, 269, 9022, 1315, 3490, 666, 2697, 1614, 1114, 10832, 269, 3399, 4974, 4603, 602, 5654, 899, 513, 4617, 3679, 270, 17641, 3490, 513, 4617, 3679, 270, 17641, 3490, 269, 898, 729, 9862, 689, 4603, 585, 513, 4617, 3490, 5707, 1674, 2553, 269, 6787, 707, 4974, 883, 12257, 4734, 707, 5707, 1674, 269, 3245, 513, 536, 675, 339, 568, 513, 3679, 3490, 5707, 1674, 4603, 616, 2877, 3679, 269, 2904, 1616, 547, 798, 513, 3018, 267, 789, 1705, 513, 16979, 269, 1677, 2491, 7408, 543, 13030, 17930, 3679, 2079, 543, 513, 269, 1403, 519, 5707, 1674, 476, 1220, 280, 513, 540, 905, 676, 1535, 321, 5400, 538, 713, 2985, 269, 4208, 3679, 1532, 848, 5707, 1674, 2978, 1867, 267, 5707, 1674, 4603, 476, 276, 269, 3245, 15072, 10464, 1382, 1957, 547, 3313, 519, 7998, 269, 1306, 538, 851, 476, 279, 910, 2257, 3992, 585, 513, 3070, 998, 3679, 1532, 848, 5707, 1674, 269, 8881, 7156, 3679, 1532, 848, 5707, 5928, 1210, 5707, 1674, 267, 1557, 1806, 1118, 707, 1957, 547, 5352, 5707, 1674, 269, 2913, 721, 948, 609, 15460, 267, 476, 2004, 269, 876, 16720, 540, 606, 15938, 4603, 269, 2776, 6441, 629, 7084, 281, 3679, 1532, 848, 5707, 1674, 540, 5707, 1674, 2978, 1867, 267, 649, 786, 9585, 707, 1126, 568, 513, 3490, 5707, 1674, 267, 513, 269, 769, 2247, 891, 1919, 1247, 596, 2688, 1557, 23999, 281, 476, 277, 270, 278, 676, 519, 269, 631, 3070, 568, 606, 1858, 540, 2746, 1218, 538, 1620, 3679, 1532, 848, 5707, 1674, 4214, 267, 1257, 3758, 269, 5851, 282, 5691, 7998, 281, 3679, 3490, 2447, 476, 21854, 4603, 269, 4455, 476, 4905, 267, 849, 3314, 602, 538, 5707, 1674, 5496, 4603, 267, 851, 279, 281, 5707, 1674, 267, 6070, 29230, 3974, 269, 670, 15621, 3679, 1532, 848, 1018, 2055, 4267, 711, 2139, 4647, 3679, 9243, 1436, 540, 606, 3679, 1532, 848, 5707, 5928, 563, 7093, 2978, 1867, 454, 1320, 9722, 827, 7408, 543, 13279, 267, 606, 3679, 610, 13279, 2978, 1867, 267, 607, 538, 513, 2688, 3679, 610, 3490, 269, 4639, 267, 543, 519, 3483, 540, 1283, 2298, 7084, 269, 570, 868, 610, 5834, 540, 3679, 1210, 5707, 5928, 267, 1382, 1957, 593, 18296, 2164, 281, 5707, 1674, 269, 11066, 476, 4572, 274, 2856, 540, 2698, 23639, 540, 606, 3679, 1532, 848, 5707, 1674, 1775, 11402, 602, 538, 5707, 1674, 269, 594, 6415, 3257, 513, 7998, 281, 713, 3296, 6257, 513, 10477, 9059, 8945, 609, 4307, 20462, 628, 1446, 514, 607, 3679, 269, 6828, 476, 277, 281, 11993, 7998, 267, 799, 524, 342, 341, 476, 2190, 281, 1786, 1777, 1071, 1156, 3483, 269, 15331, 476, 1428, 4647, 3679, 814, 1114, 32690, 543, 513, 4617, 1769, 729, 513, 3490, 5707, 1674, 269, 14419, 519, 2556, 948, 609, 513, 2178, 3679, 269, 4635, 3308, 2203, 3679, 1532, 848, 5707, 1674, 568, 606, 1383, 540, 713, 4603, 476, 277, 3679, 11486, 848, 5707, 1674, 7824, 3758, 269, 18763, 4152, 2978, 4603, 1232, 476, 6021, 267, 8257, 540, 269, 901, 5707, 1674, 4367, 538, 2010, 540, 9770, 28355, 269, 3171, 25733, 25229, 8864, 1557, 7840, 12189, 519, 5707, 1674, 3322, 513, 2178, 3679, 11486, 848, 2035, 6539, 476, 11025, 269, 667, 984, 5459, 267, 3679, 1532, 848, 5707, 1674, 540, 875, 547, 3313, 519, 30424, 1448, 856, 519, 5707, 1674, 269, 3245, 17571, 4647, 3679, 538, 5010, 16693, 3679, 543, 824, 1353, 2228, 1631, 593, 533, 15517, 269, 6314, 1235, 946, 513, 3070, 267, 5707, 1674, 1317, 713, 568, 1100, 269, 5463, 476, 6021, 267, 7408, 543, 32301, 540, 519, 1297, 1250, 3679, 1532, 848, 5707, 5928, 269, 5999, 827, 3679, 9243, 1436, 540, 16693, 676, 476, 1220, 275, 321, 269, 18729, 20324, 848, 5707, 1674, 543, 13279, 543, 13279, 609, 609, 519, 269, 898, 666, 581, 1031, 538, 606, 3679, 11486, 848, 2035, 6539, 476, 11025, 269, 5851, 282, 544, 754, 601, 781, 4603, 3381, 2257, 610, 519, 18253, 3490, 5707, 1674, 1775, 723, 547, 5352, 519, 16979, 269, 476, 277, 1163, 476, 1724, 2019, 636, 13011, 1166, 2532, 267, 476, 2004, 269, 876, 16720, 540, 3679, 1532, 848, 5707, 5928, 1210, 19790, 976, 267, 3679, 1532, 848, 5707, 5928, 1210, 7408, 269, 661, 706, 5225, 1832, 538, 713, 2978, 1867, 4267, 711, 606, 3679, 269, 3143, 811, 3169, 5834, 540, 5707, 1674, 609, 513, 2978, 26810, 269, 14424, 543, 811, 827, 7408, 543, 5707, 1674, 536, 675, 10577, 269, 4746, 513, 3992, 585, 2165, 4574, 585, 1979, 17190, 269, 594, 6415, 12758, 609, 938, 1702, 3490, 568, 8652, 18608, 545, 3679, 3490, 269, 645, 7595, 3679, 610, 3490, 513, 22369, 543, 1374, 707, 1378, 4603, 602, 519, 2556, 948, 543, 2564, 269, 594, 6415, 5707, 7992, 18252, 513, 4617, 3679, 609, 891, 3679, 540, 3679, 269, 661, 277, 513, 4617, 3679, 3490, 5707, 1674, 540, 513, 269, 27429, 1281, 711, 2139, 4647, 3679, 3490, 3601, 540, 513, 3490, 5707, 1674, 269, 9546, 4618, 632, 4895, 476, 1556, 267, 3313, 519, 5707, 1674, 543, 8062, 729, 5707, 3603, 676, 3045, 11345, 1001, 276, 269, 2073, 1210, 1394, 5707, 1674, 3679, 1532, 848, 5707, 1674, 513, 31764, 2688, 5291, 2517, 4178, 269, 1087, 331, 341, 26716, 270, 609, 20171, 513, 3490, 269, 17593, 519, 3679, 1315, 3490, 5114, 1210, 3679, 1532, 848, 5707, 1674, 282, 3211, 28326, 282, 1494, 11230, 6248, 5707, 1674, 5114, 269, 623, 696, 3406, 1907, 782, 519, 1101, 851, 540, 519, 3368, 2389, 527, 1674, 540, 513, 2178, 3679, 270, 17641, 3490, 5707, 1674, 269, 2701, 11339, 281, 2978, 26810, 9074, 547, 3313, 519, 7164, 3679, 3070, 616, 1759, 593, 533, 15517, 269, 2160, 540, 11254, 7408, 2489, 7998, 568, 2907, 19832, 676, 5707, 1674, 3322, 4466, 519, 4603, 1759, 593, 4259, 269, 17006, 1932, 1454, 13525, 4307, 20462, 628, 1446, 514, 18861, 2699, 607, 1031, 538, 943, 269, 3399, 8990, 540, 7164, 2978, 1867, 827, 3679, 1532, 848, 5707, 1674, 9273, 476, 272, 269, 3367, 3679, 3490, 543, 3490, 267, 3679, 1532, 848, 1018, 568, 547, 798, 538, 1250, 7998, 269, 898, 547, 513, 6219, 676, 5707, 1674, 281, 606, 13525, 269, 645, 668, 1054, 2096, 565, 4544, 568, 547, 519, 476, 6977, 271, 338, 267, 22803, 7998, 269, 30365, 585, 5707, 1674, 2978, 1867, 4647, 607, 789, 1705, 538, 6885, 2973, 619, 269, 1290, 2821, 513, 3490, 4603, 547, 519, 2681, 12773, 281, 476, 1691, 281, 538, 606, 1858, 540, 2178, 7408, 281, 12262, 4178, 269, 0, 15507, 11778, 1644, 547, 3301, 593, 9612, 5422, 454, 1432, 568, 12229, 286, 9502, 267, 9537, 543, 6201, 454, 11321, 476, 6860, 267, 476, 1708, 272, 5788, 12229, 568, 513, 2489, 2165, 585, 519, 1585, 5686, 540, 1982, 521, 1031, 547, 7500, 2780, 521, 543, 1644, 3457, 269, 630, 763, 2165, 8800, 6257, 519, 2168, 3344, 540, 5904, 543, 1644, 6693, 6395, 281, 476, 3374, 13698, 281, 476, 11152, 17834, 313, 24419, 281, 476, 10436, 454, 25413, 2264, 9502, 1299, 12791, 910, 8585, 26713, 268, 31812, 454, 763, 2495, 540, 3301, 568, 1945, 1031, 610, 2404, 609, 543, 2356, 4334, 539, 609, 8800, 269, 1215, 547, 946, 3301, 538, 513, 4845, 563, 6395, 281, 476, 10019, 13698, 281, 476, 7918, 17834, 313, 24419, 281, 476, 5780, 454, 25413, 2264, 910, 9504, 454, 2414, 948, 2149, 596, 2228, 267, 1934, 781, 519, 7454, 4165, 643, 6400, 12229, 540, 476, 1708, 271, 912, 6395, 281, 476, 6434, 13698, 281, 476, 5379, 17834, 313, 24419, 281, 476, 3607, 454, 1432, 616, 519, 6688, 540, 3301, 888, 288, 3126, 540, 5528, 602, 15824, 513, 1880, 4305, 568, 1572, 513, 834, 32491, 1701, 269, 634, 1079, 2101, 3301, 6688, 616, 834, 17882, 3301, 257, 543, 834, 1952, 997, 566, 3301, 1701, 269, 3590, 3301, 568, 1500, 909, 540, 519, 5665, 1062, 543, 824, 1852, 3292, 585, 5883, 519, 8800, 543, 4881, 519, 3156, 563, 6395, 281, 476, 10463, 13698, 281, 476, 7830, 17834, 313, 24419, 281, 476, 1321, 454, 1432, 616, 930, 1806, 540, 3301, 888, 25413, 2264, 568, 519, 3292, 543, 13467, 585, 513, 2780, 610, 519, 1982, 1570, 585, 606, 5907, 3926, 799, 1118, 621, 2196, 269, 1323, 1383, 540, 3301, 568, 9185, 610, 8837, 610, 1775, 307, 17480, 563, 6395, 281, 476, 1015, 13698, 281, 476, 273, 17834, 313, 24419, 281, 476, 6924, 454, 1432, 4010, 568, 3301, 888, 25413, 2264, 5161, 540, 5402, 268, 23457, 5528, 543, 3009, 2854, 676, 23501, 538, 1022, 540, 1585, 2027, 2780, 4654, 563, 6395, 281, 476, 4097, 13698, 281, 476, 7830, 17834, 313, 24419, 281, 476, 4097, 0, 300, 580, 7992, 16313, 338, 616, 538, 8373, 269, 3371, 779, 875, 649, 666, 782, 948, 873, 563, 288, 1007, 5726, 1544, 22179, 519, 11411, 543, 4690, 540, 2244, 14935, 267, 27563, 267, 543, 18173, 12439, 7567, 563, 12507, 1105, 17984, 3382, 513, 3529, 693, 4432, 14472, 9222, 3933, 1105, 19643, 12187, 5842, 551, 4231, 538, 5760, 334, 659, 17505, 267, 6792, 6185, 563, 4517, 28584, 5682, 4083, 454, 291, 269, 1656, 28584, 5682, 4083, 568, 606, 13930, 7548, 540, 17905, 543, 12472, 776, 10334, 693, 519, 2160, 540, 12309, 269, 901, 1650, 8385, 12286, 593, 634, 22062, 566, 563, 3080, 540, 2470, 779, 12473, 2621, 568, 25093, 281, 3933, 1105, 17984, 685, 2887, 9194, 269, 3493, 691, 532, 689, 782, 2066, 519, 2475, 543, 4516, 267, 519, 17984, 2951, 909, 547, 476, 273, 267, 4335, 5195, 547, 12440, 693, 519, 1482, 6753, 538, 6792, 610, 2059, 519, 7414, 11076, 1141, 741, 1390, 3766, 8681, 18499, 6170, 519, 3105, 5162, 563, 7712, 476, 1960, 274, 267, 519, 1858, 540, 4104, 4988, 676, 8109, 16313, 338, 693, 741, 7670, 5793, 532, 4609, 538, 6792, 814, 15468, 689, 513, 8445, 540, 476, 3393, 14143, 538, 476, 1960, 277, 268, 1960, 278, 547, 607, 1970, 607, 476, 272, 269, 5780, 14143, 538, 519, 5162, 540, 476, 1001, 274, 268, 1001, 275, 269, 589, 476, 1001, 277, 1353, 19230, 602, 16313, 338, 941, 5906, 569, 2673, 547, 513, 10567, 968, 4812, 540, 1100, 2132, 1848, 634, 476, 1001, 280, 1293, 540, 16313, 338, 538, 4993, 729, 519, 9803, 2479, 6592, 585, 602, 1895, 563, 1432, 729, 7361, 513, 5377, 5346, 267, 12504, 14617, 4674, 547, 4688, 519, 10010, 16313, 18173, 9194, 814, 17146, 4724, 513, 1283, 16365, 6643, 1063, 519, 5313, 2229, 267, 4357, 2872, 543, 1804, 2389, 847, 2244, 14935, 269, 1306, 513, 29489, 4974, 16313, 338, 547, 1174, 519, 7636, 543, 4719, 3344, 540, 9194, 267, 594, 3494, 713, 4603, 814, 1164, 30367, 585, 16313, 338, 543, 824, 6650, 6150, 2249, 269, 0, 7312, 1126, 781, 1072, 543, 3106, 568, 938, 1283, 10862, 269, 7490, 3406, 938, 4199, 5399, 585, 1344, 593, 1072, 267, 6484, 267, 8516, 267, 5945, 6604, 543, 824, 1271, 3584, 563, 289, 833, 14964, 568, 513, 1390, 1259, 547, 1205, 3635, 543, 2671, 942, 607, 513, 1920, 269, 1809, 972, 781, 606, 1271, 3815, 602, 596, 991, 547, 2015, 910, 3106, 563, 293, 31021, 568, 513, 10151, 2530, 540, 9637, 269, 25126, 945, 814, 535, 20557, 786, 2356, 9156, 3533, 563, 3519, 28261, 616, 3978, 7063, 269, 3371, 781, 875, 547, 948, 2149, 3214, 543, 12322, 689, 891, 7646, 15779, 2634, 7063, 563, 27396, 566, 538, 5026, 666, 4001, 3214, 5026, 26206, 543, 9015, 269, 1809, 5026, 849, 4163, 519, 1761, 585, 5945, 269, 3371, 781, 875, 547, 2149, 707, 3214, 563, 26015, 4252, 568, 676, 1100, 1797, 513, 5906, 7328, 269, 1809, 621, 666, 1459, 513, 1360, 1483, 1981, 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, 15578, 23140, 21815, 2207, 25783, 19489, 300, 23814, 6789, 306, 8577, 16774, 630, 3633, 307, 5183, 264, 4873, 476, 1240, 267, 476, 1001, 274, 11068, 6953, 644, 5459, 13636, 20051, 3220, 269, 9253, 700, 269, 29088, 517, 1196, 307, 5183, 18509, 13541, 270, 10998, 12442, 18509, 13541, 634, 590, 720, 30793, 2471, 661, 4614, 1407, 3427, 540, 4065, 29269, 5183, 6730, 9358, 286, 12474, 19791, 286, 8111, 6665, 832, 286, 10613, 286, 4033, 286, 5990, 29643, 14110, 2464, 590, 29558, 5357, 5508, 11581, 24102, 12327, 25807, 296, 9970, 12096, 476, 1001, 273, 1299, 11354, 476, 1001, 274, 21909, 687, 543, 4388, 1759, 593, 1250, 1995, 12085, 602, 594, 4121, 1548, 594, 786, 798, 8335, 713, 2887, 744, 7473, 299, 12114, 5508, 5990, 11553, 2464, 7728, 9569, 4855, 856, 7525, 4145, 9669, 689, 519, 512, 29168, 20308, 8400, 29760, 593, 835, 10457, 1196, 307, 5183, 12020, 19019, 454, 10112, 20156, 594, 12613, 3633, 296, 12442, 12164, 290, 2207, 10064, 286, 20513, 270, 9743, 1192, 528, 13478, 10967, 6665, 528, 12983, 15443, 28371, 12983, 12983, 1284, 22616, 6513, 4033, 286, 570, 3008, 298, 476, 272, 281, 28132, 28692, 15443, 573, 919, 1683, 1344, 593, 519, 2796, 538, 799, 789, 616, 3450, 5426, 7981, 2934, 11120, 1988, 7102, 1808, 21927, 267, 1153, 454, 528, 8664, 4170, 1703, 616, 5634, 7648, 2066, 10459, 827, 519, 1362, 570, 3008, 298, 476, 272, 281, 28132, 28692, 16504, 5384, 13991, 1142, 1554, 547, 1893, 1299, 7924, 6044, 31727, 23454, 610, 9477, 538, 7924, 4766, 1860, 593, 1362, 10576, 1022, 1837, 610, 14292, 1982, 263, 21459, 19696, 264, 5903, 824, 2200, 9906, 1344, 1299, 5750, 519, 1482, 18520, 3778, 270, 12892, 454, 22137, 8745, 1299, 3259, 540, 1576, 4147, 8430, 630, 2381, 2373, 7933, 904, 829, 530, 330, 264, 31727, 23454, 270, 10177, 9535, 1808, 547, 1686, 4882, 3469, 2090, 10576, 1837, 630, 21459, 19696, 264, 4033, 2200, 9906, 1344, 1299, 5750, 519, 1482, 28132, 28692, 623, 17803, 570, 3008, 298, 594, 16504, 17402, 4427, 2466, 513, 3992, 1544, 585, 1142, 3992, 538, 519, 1565, 10126, 4427, 2466, 1883, 14292, 2326, 630, 691, 604, 9711, 264, 15863, 547, 16555, 454, 335, 668, 14186, 1991, 547, 3450, 7994, 835, 1893, 1599, 2697, 513, 1565, 4305, 1141, 1053, 946, 519, 1893, 1599, 269, 4427, 2466, 12215, 610, 8846, 585, 782, 9709, 10526, 585, 1565, 10126, 3778, 270, 12892, 5525, 2290, 1362, 4804, 10126, 476, 274, 547, 476, 276, 4245, 610, 476, 274, 268, 276, 3108, 540, 4448, 6044, 6239, 1445, 6258, 1299, 946, 1249, 267, 2035, 267, 1299, 12496, 610, 9382, 547, 1628, 7440, 454, 8138, 2466, 4245, 4566, 585, 1142, 3992, 4427, 2466, 1883, 14292, 2326, 700, 8577, 2177, 12813, 23177, 16504, 3557, 14194, 641, 1540, 2875, 4081, 1543, 543, 5924, 5871, 11759, 18771, 1331, 519, 1297, 543, 1257, 540, 519, 1543, 3044, 4804, 6859, 585, 1543, 4441, 3778, 270, 12892, 5525, 3557, 14194, 641, 1540, 2875, 4081, 1543, 543, 5924, 5871, 11759, 454, 300, 755, 1331, 519, 1297, 543, 1257, 540, 519, 1543, 3044, 4804, 6859, 585, 1543, 4441, 31131, 1299, 13016, 10526, 31131, 1299, 13016, 10526, 630, 514, 11079, 2010, 540, 4879, 1299, 1018, 568, 1373, 12290, 264, 630, 514, 11079, 2010, 540, 4879, 1299, 1018, 568, 1373, 12290, 264, 19019, 531, 2994, 1299, 1565, 4247, 19019, 531, 2994, 1299, 1565, 4247, 454, 1432, 596, 1299, 1053, 786, 581, 3257, 1548, 596, 1299, 1053, 786, 581, 3257, 667, 5744, 2875, 2115, 667, 5744, 2875, 2115, 19019, 531, 2200, 19019, 531, 2200, 5084, 309, 21201, 10396, 700, 8577, 2177, 12813, 3198, 11555, 12702, 296, 3918, 300, 19006, 2201, 707, 3992, 1544, 3898, 14121, 6374, 622, 2073, 2015, 2230, 585, 519, 1883, 4170, 585, 3992, 4566, 454, 32098, 11621, 543, 5924, 5871, 11759, 4804, 6859, 14288, 1893, 6859, 19019, 531, 11150, 1299, 4804, 17130, 13419, 3293, 6657, 1299, 13335, 1849, 3837, 7756, 2747, 270, 5522, 10165, 8081, 454, 10112, 612, 906, 8249, 11676, 7879, 476, 272, 1299, 476, 273, 616, 5532, 547, 3992, 4566, 700, 8577, 2177, 12813, 23177, 11550, 6573, 4811, 6333, 1519, 593, 3992, 1544, 17074, 1344, 16761, 538, 12987, 602, 10457, 1590, 4431, 547, 538, 16555, 3296, 8871, 14186, 4268, 5594, 689, 1641, 1858, 547, 1641, 1858, 476, 276, 2101, 12987, 538, 16555, 3296, 896, 12020, 609, 1016, 6709, 5465, 7396, 896, 1142, 5401, 7756, 2747, 270, 5522, 10165, 4675, 2176, 630, 2662, 1961, 1362, 267, 1895, 540, 1053, 609, 2147, 2115, 267, 1367, 1053, 267, 1053, 609, 594, 7968, 338, 610, 476, 27843, 12697, 267, 3092, 4700, 14288, 5678, 3143, 811, 982, 476, 280, 2582, 17898, 3166, 3817, 1519, 12987, 570, 3008, 298, 476, 272, 454, 26589, 609, 3992, 4566, 10505, 2353, 10526, 630, 2181, 9706, 739, 10526, 267, 24920, 267, 6299, 7879, 267, 3092, 4700, 2353, 13742, 610, 1489, 2326, 1031, 607, 851, 540, 6044, 630, 701, 518, 10526, 267, 14827, 1793, 2354, 267, 4305, 6486, 267, 6780, 267, 3092, 4700, 2353, 1565, 4247, 267, 10526, 267, 543, 13742, 1590, 581, 13988, 609, 3992, 6859, 10670, 547, 1589, 2468, 836, 1637, 1063, 570, 3696, 267, 476, 272, 267, 476, 273, 267, 543, 476, 274, 674, 25893, 12813, 3198, 301, 5058, 11550, 6573, 4811, 11550, 6573, 307, 476, 272, 595, 7728, 305, 3201, 674, 8016, 4785, 16504, 6239, 1445, 1299, 3483, 540, 1543, 454, 20091, 270, 8586, 4296, 8490, 1299, 5885, 7440, 1215, 798, 4566, 1628, 593, 1142, 824, 547, 1118, 4296, 610, 17492, 1257, 630, 335, 269, 476, 1691, 264, 1215, 4566, 1628, 593, 1142, 824, 547, 1118, 4296, 1063, 5013, 267, 2035, 543, 12496, 610, 9382, 547, 1489, 7440, 267, 3092, 269, 630, 335, 269, 476, 1015, 264, 11550, 6573, 307, 476, 273, 918, 301, 8582, 29612, 12283, 5508, 22295, 19006, 9215, 5442, 19489, 300, 23140, 21815, 5058, 16504, 270, 14154, 270, 14532, 14674, 1018, 596, 917, 827, 707, 1053, 538, 707, 1362, 13405, 4081, 1565, 2676, 23024, 7891, 267, 1299, 32563, 1983, 1644, 547, 3844, 1445, 9608, 11305, 8590, 270, 10919, 640, 7221, 1644, 547, 3844, 1445, 7981, 4065, 1280, 1142, 1445, 15226, 267, 2697, 476, 273, 1565, 9072, 14674, 1142, 1445, 6267, 9868, 1275, 5903, 3853, 11486, 26067, 12201, 538, 594, 7968, 585, 1142, 1445, 15226, 5903, 1022, 2027, 22581, 610, 12381, 538, 1565, 1604, 267, 6044, 267, 610, 10526, 1759, 593, 594, 7968, 14674, 2623, 2359, 1544, 31031, 2969, 9680, 22494, 11123, 11550, 6573, 307, 476, 273, 288, 1299, 645, 454, 25618, 625, 13565, 547, 32653, 476, 273, 7316, 568, 519, 1344, 4092, 286, 1548, 666, 10457, 13712, 547, 1489, 741, 4267, 286, 1215, 666, 789, 5531, 1344, 543, 946, 621, 547, 2626, 519, 12987, 286, 18771, 4001, 10457, 547, 2626, 12987, 1403, 621, 814, 606, 543, 267, 782, 3334, 1590, 581, 9619, 538, 5401, 13405, 1565, 543, 32563, 1983, 616, 1883, 454, 305, 17128, 476, 274, 568, 1031, 585, 32653, 476, 273, 24639, 13048, 3036, 16249, 8863, 6579, 11403, 2894, 270, 4306, 11070, 19006, 11550, 6573, 307, 476, 274, 16504, 17402, 4804, 2422, 3741, 689, 1382, 270, 1372, 767, 269, 3069, 7216, 19974, 2422, 3741, 689, 1382, 270, 1372, 767, 269, 3069, 11512, 875, 707, 1620, 11512, 875, 707, 540, 1053, 1991, 1565, 1299, 2146, 7221, 11461, 707, 3903, 610, 9542, 540, 1565, 4247, 1299, 2326, 14674, 1299, 17854, 1946, 707, 14292, 2994, 1299, 9709, 7028, 616, 3617, 585, 2898, 1362, 543, 1053, 609, 2147, 2115, 269, 14674, 1455, 454, 16467, 11365, 4114, 574, 725, 610, 1455, 20887, 538, 7924, 543, 875, 596, 786, 2232, 873, 269, 1620, 540, 1126, 27231, 1646, 267, 1991, 1565, 267, 1299, 2146, 7221, 3391, 707, 3903, 610, 14624, 540, 1565, 4247, 1299, 2326, 14674, 543, 17854, 1946, 707, 14292, 2994, 1299, 9709, 7028, 616, 3617, 585, 2898, 1362, 543, 1053, 609, 2147, 2115, 269, 14674, 1455, 11095, 4114, 574, 725, 610, 21390, 543, 875, 596, 1544, 547, 2232, 873, 269, 24639, 13048, 3036, 16249, 8863, 6579, 11403, 2894, 270, 4306, 11070, 19006, 11550, 6573, 307, 476, 274, 16504, 17402, 4804, 910, 2422, 3741, 689, 1382, 270, 632, 767, 269, 3069, 454, 23737, 875, 707, 1620, 540, 1053, 1991, 1565, 1299, 2146, 7221, 11461, 707, 3903, 610, 9542, 540, 1565, 4247, 1299, 2326, 1215, 1131, 707, 1344, 689, 32653, 476, 273, 3313, 3450, 2994, 1031, 538, 519, 1770, 540, 6044, 286, 1215, 1281, 707, 1620, 540, 1991, 1565, 267, 2833, 267, 543, 2146, 11305, 8590, 7221, 3391, 707, 3903, 610, 9542, 540, 1565, 4247, 543, 2326, 270, 3937, 286, 14674, 1299, 17854, 1946, 707, 14292, 2994, 1299, 9709, 7028, 616, 3617, 585, 519, 2898, 1362, 543, 1053, 609, 2147, 2115, 269, 6153, 1747, 585, 1382, 543, 3069, 547, 581, 4294, 18771, 6474, 1018, 568, 1336, 593, 3992, 4566, 7756, 2747, 540, 6044, 610, 22581, 689, 3992, 4566, 14674, 1455, 11095, 4114, 574, 725, 610, 1455, 20887, 538, 7924, 543, 875, 596, 786, 2232, 873, 269, 901, 568, 1808, 547, 741, 3844, 1445, 454, 27745, 581, 1759, 593, 840, 12431, 20156, 4433, 264, 11310, 540, 2085, 1895, 11550, 6573, 307, 476, 275, 700, 20315, 308, 17803, 667, 4932, 3198, 9169, 16504, 3778, 270, 12892, 5525, 25417, 17402, 4886, 998, 5678, 10576, 835, 1893, 1599, 1898, 585, 1053, 547, 1451, 519, 7924, 4640, 1369, 519, 3844, 1445, 269, 1883, 1913, 1644, 547, 1599, 5659, 267, 8044, 267, 30387, 267, 5635, 270, 4186, 2858, 267, 4766, 267, 2491, 267, 4612, 267, 3589, 267, 2243, 267, 1427, 749, 267, 17412, 10576, 1883, 1565, 4247, 602, 1683, 1053, 3255, 547, 2259, 1210, 519, 1893, 269, 16952, 1893, 7569, 6863, 610, 1883, 2453, 454, 31936, 835, 540, 519, 1739, 281, 16522, 1314, 610, 5494, 6847, 5678, 4675, 2176, 14674, 14292, 7028, 630, 5228, 3992, 4566, 264, 602, 948, 1053, 1174, 543, 946, 519, 1893, 1599, 543, 519, 3606, 1893, 1489, 269, 5678, 24637, 10576, 835, 1893, 1599, 1898, 585, 1053, 547, 1451, 1543, 630, 534, 3315, 2763, 267, 5635, 270, 4186, 2858, 267, 4020, 267, 4766, 267, 6218, 267, 4983, 267, 2697, 267, 4612, 267, 17854, 267, 12398, 267, 3092, 4700, 10576, 1883, 1565, 4247, 630, 1652, 517, 1554, 14672, 3784, 264, 602, 1683, 1053, 609, 519, 4316, 547, 946, 519, 1893, 1599, 269, 16952, 5678, 24637, 630, 25740, 610, 5711, 994, 309, 665, 5879, 610, 1883, 2453, 16522, 1314, 610, 11407, 630, 520, 2547, 835, 540, 519, 1079, 264, 5678, 4675, 2176, 14674, 519, 14292, 7028, 630, 5228, 3992, 4566, 264, 948, 1053, 1174, 543, 946, 519, 1893, 1599, 543, 3606, 1893, 7569, 269, 700, 20315, 308, 17803, 667, 4932, 3198, 9169, 5637, 1106, 543, 1599, 1590, 581, 3769, 538, 3992, 4566, 609, 1565, 2833, 13615, 547, 1893, 7569, 2422, 519, 5750, 3177, 538, 25156, 547, 5581, 6859, 609, 1565, 2833, 952, 17412, 568, 538, 519, 6662, 1565, 4305, 543, 4879, 1058, 2154, 1053, 547, 17412, 11676, 878, 476, 275, 11550, 6573, 307, 476, 276, 631, 2177, 3951, 3036, 5058, 454, 4306, 11070, 7728, 19845, 27073, 5058, 16504, 13129, 10526, 538, 713, 18520, 2296, 5678, 8551, 14674, 875, 707, 9709, 6101, 3296, 14674, 875, 707, 9709, 6101, 543, 13016, 10526, 786, 1683, 1463, 2963, 602, 1053, 666, 946, 519, 7924, 4640, 543, 1270, 15363, 1983, 547, 10146, 610, 17492, 1257, 269, 11512, 875, 519, 1374, 610, 9542, 540, 707, 9709, 10526, 2636, 1053, 609, 1808, 2115, 547, 6542, 741, 1565, 269, 543, 13016, 10526, 786, 1683, 1463, 2963, 540, 875, 454, 29324, 5759, 547, 10146, 267, 4020, 2495, 689, 267, 4612, 267, 543, 5924, 4431, 547, 1950, 1257, 2429, 519, 1565, 10126, 269, 11512, 875, 519, 1374, 610, 9542, 540, 707, 9709, 10526, 2636, 1053, 609, 1808, 2115, 547, 6542, 741, 1565, 269, 6789, 306, 8577, 300, 19006, 2353, 10526, 1058, 581, 7923, 547, 3992, 4566, 22252, 531, 267, 6101, 267, 24233, 267, 840, 9706, 739, 10526, 9701, 5352, 1239, 602, 666, 1489, 8753, 6603, 538, 17130, 476, 274, 3629, 12319, 540, 1053, 1702, 543, 946, 540, 4081, 1893, 1808, 547, 1543, 1858, 3417, 1022, 4879, 14624, 602, 991, 547, 581, 1500, 454, 22372, 593, 519, 5750, 6192, 896, 2796, 11676, 878, 476, 276, 568, 1808, 547, 32653, 476, 276, 570, 3008, 298, 476, 272, 19766, 4041, 307, 3633, 256, 15443, 573, 919, 723, 476, 280, 3817, 1519, 519, 12987, 585, 17130, 476, 272, 901, 568, 519, 1034, 1898, 851, 540, 519, 1184, 30216, 519, 24536, 585, 12032, 540, 570, 3696, 476, 273, 543, 476, 274, 30216, 2963, 585, 17130, 476, 273, 543, 476, 274, 570, 1389, 519, 13074, 547, 2347, 267, 10457, 991, 519, 1034 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13952, 568, 849, 15691, 547, 10536, 519, 16861, 2203, 540, 2372, 4883, 779, 18533, 563, 21574, 32200, 3081, 621, 568, 1898, 585, 519, 9754, 547, 8190, 2051, 8725, 607, 519, 18533, 6743, 950, 621, 729, 6659, 689, 519, 5757, 269, 13298, 982, 519, 8912, 7738, 543, 7816, 267, 519, 4161, 585, 11122, 2209, 713, 942, 729, 547, 8190, 519, 1178, 29201, 689, 519, 13889, 267, 799, 729, 538, 8594, 540, 11067, 1055, 1317, 519, 18533, 1185, 1044, 14589, 539, 269, 1656, 519, 18533, 786, 1100, 3476, 1796, 593, 513, 19516, 531, 538, 519, 1007, 4159, 1107, 513, 16887, 2966, 524, 2784, 548, 568, 1373, 1500, 585, 621, 547, 9114, 538, 269, 898, 786, 581, 3254, 7258, 726, 659, 1841, 10356, 689, 519, 13889, 563, 763, 2680, 814, 12006, 585, 4446, 32200, 602, 519, 1184, 540, 28160, 5314, 568, 835, 602, 568, 7683, 9687, 269, 968, 296, 4076, 1044, 1934, 476, 3607, 1296, 543, 594, 4076, 2938, 519, 1114, 8942, 649, 4076, 1500, 547, 10994, 713, 1686, 269, 901, 814, 1044, 513, 1483, 12576, 602, 972, 779, 513, 1007, 5108, 4947, 998, 782, 519, 942, 1107, 543, 519, 1919, 596, 1705, 476, 1015, 1296, 3516, 616, 3504, 1686, 3034, 763, 642, 663, 16117, 814, 811, 8978, 1871, 982, 519, 1843, 3294, 563, 1103, 10228, 267, 835, 540, 519, 3312, 6117, 4229, 3297, 519, 3350, 547, 28160, 1047, 6628, 779, 6561, 267, 519, 10910, 3941, 18771, 12096, 5859, 267, 814, 1044, 12081, 1243, 676, 519, 547, 653, 1782, 540, 2051, 8725, 269, 7843, 527, 2100, 31828, 850, 6614, 267, 513, 1071, 1922, 659, 4106, 1807, 540, 519, 1895, 267, 814, 1044, 1418, 2358, 2834, 17600, 1996, 519, 18533, 540, 519, 11440, 626, 5449, 6305, 14012, 540, 7013, 4000, 267, 595, 1815, 559, 10910, 3941, 563, 3891, 3081, 1857, 5114, 547, 519, 5859, 619, 713, 1032, 814, 1044, 1360, 1114, 547, 950, 789, 3323, 856, 538, 476, 1001, 275, 269, 968, 2467, 568, 9090, 513, 1114, 4743, 538, 519, 2749, 2223, 3081, 31828, 850, 6614, 269, 968, 2171, 4076, 849, 2938, 602, 519, 8292, 676, 8639, 616, 1114, 269, 2859, 1004, 616, 6340, 16175, 982, 649, 1185, 2947, 610, 3670, 1296, 3516, 3034, 2304, 540, 339, 2275, 1243, 4661, 1996, 9427, 24112, 899, 10910, 3941, 568, 602, 621, 568, 711, 11180, 585, 513, 1507, 12102, 540, 13889, 832, 547, 6430, 593, 519, 12556, 540, 1857, 20375, 269, 31828, 850, 6614, 13187, 602, 519, 10910, 3941, 18771, 12096, 3350, 568, 827, 4657, 1857, 6644, 998, 11180, 5859, 532, 267, 2864, 982, 936, 337, 4575, 621, 563, 5194, 1455, 4661, 1996, 9427, 24112, 540, 5515, 899, 10910, 3941, 543, 2051, 8725, 568, 602, 621, 5666, 547, 2144, 2084, 1686, 269, 1809, 31828, 850, 6614, 13187, 602, 2493, 4231, 568, 1419, 25517, 607, 18259, 543, 814, 2370, 1128, 337, 13917, 8978, 1871, 269, 1306, 538, 519, 2013, 540, 2051, 8725, 267, 646, 2798, 856, 602, 267, 538, 519, 1082, 608, 4149, 990, 2884, 2477, 602, 547, 516, 1524, 741, 19797, 268, 5028, 24112, 267, 968, 1492, 642, 663, 16117, 814, 811, 8978, 1871, 982, 519, 1843, 3294, 9731, 2467, 568, 513, 9266, 2887, 2329, 538, 3850, 873, 547, 2611, 7555, 267, 646, 8591, 269, 968, 1432, 594, 4076, 14478, 1004, 798, 1419, 568, 1413, 693, 741, 1857, 20375, 543, 2161, 267, 2048, 604, 891, 1004, 723, 20375, 1287, 789, 666, 1406, 723, 1044, 602, 3983, 547, 2253, 609, 9957, 1924, 1346, 24112, 616, 1869, 3257, 741, 18259, 2223, 646, 3081, 563, 24685, 519, 2013, 540, 10910, 3941, 267, 693, 519, 942, 519, 2852, 729, 1373, 3710, 267, 972, 941, 1082, 15852, 9739, 547, 519, 18533, 269, 1809, 1317, 2724, 4465, 856, 476, 1911, 1296, 3516, 267, 649, 1631, 2161, 646, 729, 513, 812, 540, 1010, 942, 267, 1317, 1346, 15852, 9739, 941, 2144, 1078, 563, 24685, 476, 2004, 1296, 685, 942, 267, 952, 649, 4734, 1864, 909, 267, 1004, 786, 1589, 649, 941, 21453, 609, 621, 1932, 3034, 3725, 817, 31757, 6561, 538, 519, 1857, 7706, 454, 288, 1297, 540, 5646, 15078, 267, 15882, 543, 9945, 723, 9250, 7341, 6313, 2152, 1472, 8474, 543, 28160, 5314, 538, 741, 1378, 12583, 543, 519, 6561, 789, 1416, 585, 563, 26780, 26302, 779, 8433, 454, 763, 25650, 814, 9250, 513, 10243, 547, 2689, 4763, 538, 519, 1857, 7706, 267, 799, 786, 1445, 593, 2810, 6041, 1851, 645, 28719, 2950, 267, 2021, 267, 519, 11806, 266, 2146, 543, 9659, 2516, 538, 519, 2749, 779, 24112, 267, 29693, 13196, 543, 8265, 4408, 563, 8310, 1032, 519, 6280, 9307, 602, 621, 1131, 2628, 11278, 736, 332, 547, 2508, 513, 4745, 1382, 8998, 693, 519, 2160, 540, 519, 4639, 28851, 267, 851, 540, 513, 9962, 10872, 540, 29260, 5126, 693, 519, 9754, 454, 5475, 519, 2887, 540, 2051, 8725, 267, 606, 4830, 10243, 729, 4646, 547, 4983, 519, 2104, 540, 519, 10910, 3941, 18533, 267, 799, 786, 3180, 513, 1857, 15360, 269, 634, 6280, 779, 623, 8636, 23117, 7467, 568, 849, 4867, 23072, 513, 9962, 10872, 540, 28160, 5314, 543, 21047, 563, 289, 2077, 565, 4975, 7027, 454, 288, 10243, 568, 23072, 513, 2407, 15260, 20156, 540, 519, 1686, 540, 8474, 538, 30290, 267, 538, 15360, 609, 519, 2749, 779, 2950, 269, 589, 6538, 540, 519, 2749, 779, 2493, 4231, 267, 20375, 543, 8265, 4408, 568, 849, 1373, 2813, 563, 13233, 631, 13952, 20506, 23051, 454, 763, 9872, 814, 12912, 513, 14787, 538, 15335, 267, 19846, 1338, 4639, 326, 7469, 267, 547, 2327, 602, 606, 1620, 540, 519, 1686, 543, 23543, 540, 8474, 568, 11251, 2066, 782, 540, 2817, 631, 13952, 20506, 23051, 779, 28503, 269, 0, 1103, 3687, 928, 24550, 538, 476, 6642, 279, 267, 476, 2641, 4458, 6040, 27680, 5345, 320, 31780, 1793, 5792, 5196, 519, 6989, 540, 519, 1744, 582, 6202, 267, 1849, 29800, 515, 342, 543, 700, 1054, 10458, 12051, 593, 519, 8492, 540, 519, 14967, 267, 1141, 7366, 540, 2021, 14598, 3481, 936, 1279, 7515, 267, 22927, 1608, 4815, 695, 16630, 543, 2949, 338, 563, 763, 4055, 729, 556, 22701, 543, 3905, 269, 634, 2754, 1185, 1175, 1793, 14414, 13848, 547, 30779, 625, 513, 1554, 269, 1809, 519, 2021, 10710, 741, 10845, 585, 519, 2062, 2006, 781, 1351, 4592, 633, 733, 3319, 585, 1010, 4775, 5520, 563, 2252, 646, 1558, 873, 21039, 23182, 593, 519, 8265, 267, 646, 14229, 1229, 602, 952, 789, 1223, 6488, 971, 1710, 2044, 267, 646, 1058, 2759, 741, 13848, 811, 269, 1261, 6035, 547, 4123, 835, 4807, 781, 13319, 585, 4638, 7957, 832, 267, 695, 809, 543, 2220, 648, 693, 1776, 563, 4322, 2833, 1522, 723, 1044, 1455, 267, 855, 741, 12319, 538, 513, 11356, 267, 799, 31780, 3177, 513, 1906, 2395, 2663, 267, 729, 513, 13414, 563, 26589, 2515, 24657, 827, 519, 6679, 540, 519, 6115, 31790, 543, 519, 10963, 540, 519, 2367, 5217, 5507, 23246, 834, 31568, 519, 681, 23124, 2437, 14786, 540, 519, 3735, 476, 6642, 271, 338, 543, 2038, 476, 6245, 271, 338, 941, 2407, 540, 538, 3829, 1163, 657, 15530, 540, 9036, 4638, 18275, 267, 899, 519, 835, 31780, 5206, 585, 519, 853, 269, 6754, 31248, 269, 9282, 519, 2165, 834, 25757, 18275, 257, 7012, 1405, 538, 1455, 946, 2394, 519, 476, 3192, 271, 338, 267, 20859, 4080, 593, 588, 22736, 267, 682, 1359, 20148, 525, 267, 543, 771, 27920, 602, 14944, 1441, 6015, 543, 588, 6817, 11678, 269, 4256, 8937, 1910, 960, 8507, 538, 16716, 267, 2799, 1514, 2533, 543, 1007, 4031, 563, 763, 1699, 7903, 547, 3180, 4213, 543, 2043, 18177, 814, 922, 5072, 538, 713, 21722, 19761, 540, 476, 9873, 1296, 3516, 563, 1432, 13087, 891, 2872, 19145, 1163, 657, 15530, 729, 513, 10006, 540, 2021, 883, 11356, 13646, 269, 634, 1297, 540, 4775, 1065, 13024, 543, 15769, 682, 2194, 689, 476, 6942, 271, 267, 950, 519, 14829, 1522, 723, 7396, 519, 4408, 540, 782, 476, 3374, 267, 547, 476, 6245, 271, 267, 950, 972, 941, 5176, 476, 12010, 269, 634, 1249, 540, 741, 3023, 4847, 4775, 1065, 13024, 547, 2744, 2021, 781, 3972, 267, 2307, 2055, 513, 5256, 19784, 1522, 711, 2015, 267, 543, 267, 950, 991, 581, 267, 1810, 513, 24320, 1047, 547, 2594, 12051, 2175, 689, 519, 3330, 563, 288, 1906, 3275, 1310, 31780, 781, 3687, 928, 24550, 1650, 267, 24796, 595, 639, 871, 267, 513, 5449, 1153, 974, 12329, 267, 7550, 513, 5394, 6960, 1654, 559, 543, 519, 15554, 7716, 834, 301, 749, 20307, 257, 543, 4682, 896, 16225, 585, 519, 9628, 8648, 269, 2311, 513, 524, 580, 541, 12051, 267, 519, 4055, 1141, 595, 639, 871, 4174, 5529, 10269, 3762, 1185, 27127, 4919, 5961, 11540, 593, 519, 6821, 269, 589, 812, 669, 1078, 4775, 5520, 538, 1931, 547, 834, 339, 1157, 548, 257, 873, 563, 4263, 606, 896, 18875, 2754, 267, 513, 4807, 4330, 875, 519, 6666, 1512, 6299, 5523, 1010, 3946, 936, 1200, 3068, 543, 267, 950, 1352, 5360, 7134, 267, 6976, 1200, 538, 8988, 11113, 678, 1342, 1194, 609, 9475, 269, 834, 296, 1810, 1405, 1589, 594, 666, 2995, 596, 875, 1082, 2081, 972, 616, 547, 29405, 513, 8004, 2437, 1352, 5143, 595, 639, 871, 563, 288, 1906, 1296, 2663, 267, 1715, 3840, 2861, 19784, 15117, 2423, 548, 4223, 1492, 9749, 10272, 519, 3162, 543, 20114, 695, 600, 7694, 8041, 602, 561, 3293, 4563, 2021, 5087, 609, 14767, 540, 1434, 6009, 267, 1152, 547, 1217, 873, 267, 950, 789, 8452, 267, 602, 789, 941, 7184, 538, 7963, 585, 6928, 24214, 543, 25778, 3101, 269, 634, 2021, 267, 4223, 1492, 9749, 4362, 267, 5185, 513, 2186, 540, 1279, 3856, 25034, 3293, 1425, 3363, 602, 6035, 2370, 4960, 585, 9101, 563, 4322, 6456, 28407, 9411, 519, 1857, 6643, 540, 519, 3735, 476, 6642, 271, 338, 543, 2038, 476, 6245, 271, 338, 267, 4730, 856, 593, 1566, 24737, 3817, 543, 538, 15424, 20830, 269, 634, 2799, 4656, 3006, 6976, 1055, 267, 543, 3006, 4769, 1405, 563, 763, 1744, 582, 6202, 5520, 4682, 593, 10880, 267, 606, 4674, 602, 8959, 950, 519, 2754, 10294, 28153, 269, 595, 639, 871, 781, 8989, 8329, 547, 519, 8574, 540, 513, 1715, 3840, 1533, 1876, 8260, 908, 519, 13393, 540, 5216, 4775, 1244, 14280, 12051, 8524, 832, 269, 4223, 1492, 9749, 21821, 539, 519, 948, 540, 7128, 547, 1832, 3750, 593, 519, 2703, 802, 267, 855, 849, 6170, 1279, 3108, 7996, 9887, 585, 2848, 4461, 4721, 21945, 689, 519, 3162, 267, 15691, 547, 18448, 1762, 2021, 771, 10603, 1046, 532, 543, 547, 1265, 873, 25778, 3101, 543, 6009, 1354, 789, 8593, 883, 519, 804, 583, 2583, 540, 911, 742, 1157, 619, 563, 4407, 972, 616, 2484, 811, 982, 476, 12010, 2021, 538, 3377, 7741, 2221, 2443, 8023, 519, 2487, 23484, 538, 8989, 593, 9036, 4638, 18275, 2443, 789, 1869, 4309, 1152, 476, 4391, 260, 540, 3377, 676, 6050, 2066, 782, 12043, 630, 2745, 267, 4950, 267, 8613, 543, 5911, 5359, 264, 2687, 547, 513, 476, 1001, 280, 1353, 676, 519, 6468, 781, 9012, 4741, 563, 1432, 1223, 649, 3035, 952, 649, 14059, 476, 2004, 260, 286, 634, 29412, 960, 540, 891, 2038, 20859, 267, 25323, 607, 25064, 267, 7670, 3754, 267, 543, 2366, 14939, 543, 7361, 16618, 267, 5713, 607, 513, 12576, 540, 1018, 666, 4755, 950, 519, 7450, 547, 519, 3377, 3336, 23638, 1930, 269, 1715, 5380, 267, 543, 10124, 267, 6360, 538, 563, 298, 574, 25595, 568, 606, 12314, 7548, 693, 519, 2160, 540, 16506, 543, 2278, 540, 519, 8521, 5765, 834, 306, 839, 1049, 281, 634, 26726, 3778, 540, 3013, 781, 1412, 294, 20071, 853, 2863, 3115, 13024, 9538, 834, 0, 10403, 7797, 2201, 5253, 8881, 32011, 2986, 6657, 454, 763, 1426, 2872, 568, 6213, 543, 3340, 7453, 9431, 4703, 547, 2327, 602, 6800, 1205, 2472, 602, 616, 2922, 585, 873, 269, 634, 991, 547, 2327, 602, 782, 1426, 2472, 543, 2504, 4609, 616, 2973, 543, 2635, 814, 1572, 585, 1114, 9431, 4703, 547, 960, 9875, 547, 2327, 602, 519, 1184, 540, 1426, 2504, 543, 3892, 616, 2922, 811, 982, 2479, 269, 634, 1198, 540, 25314, 534, 3042, 10898, 538, 519, 1426, 2872, 568, 3810, 29070, 4611, 538, 10108, 267, 7972, 543, 538, 1034, 2665, 22926, 269, 634, 1909, 540, 713, 4703, 1331, 3384, 4507, 543, 6042, 547, 3391, 519, 1114, 8639, 538, 519, 1426, 2872, 1210, 4808, 602, 786, 2327, 1426, 3106, 630, 289, 13612, 6820, 4441, 267, 476, 1001, 276, 533, 269, 476, 2537, 1040, 2368, 540, 891, 4703, 1331, 18869, 543, 645, 13612, 6820, 9208, 585, 5253, 8881 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 22826, 13898, 538, 513, 7332, 18321, 3427, 281, 4429, 268, 1703, 616, 1100, 2404, 6119, 454, 22826, 13898, 538, 513, 7332, 18321, 3427, 281, 14484, 687, 593, 513, 21722, 4603, 454, 1103, 476, 1001, 274, 267, 585, 519, 1101, 942, 267, 513, 7332, 5132, 1153, 6035, 6030, 538, 7954, 543, 7744, 547, 922, 1053, 269, 3683, 1079, 2474, 5729, 476, 274, 1299, 476, 275, 1053, 3576, 5049, 538, 3584, 538, 7954, 267, 7881, 543, 26381, 1108, 269, 2776, 14083, 5955, 689, 1053, 267, 3610, 543, 3237, 6920, 519, 7886, 941, 1360, 1134, 4607, 269, 2353, 8639, 1745, 1053, 723, 4324, 1540, 538, 2474, 540, 741, 7744, 4390, 267, 4661, 19862, 267, 2702, 547, 4497, 538, 513, 4901, 543, 3007, 547, 3877, 540, 1893, 269, 9122, 593, 971, 4093, 267, 519, 1153, 814, 4956, 547, 4228, 519, 10872, 543, 2709, 621, 547, 782, 540, 922, 1053, 689, 1234, 4003, 1362, 630, 720, 476, 275, 264, 20733, 563, 763, 10872, 568, 1631, 538, 922, 3791, 1032, 540, 4881, 269, 9282, 3450, 540, 7954, 543, 7744, 568, 606, 3872, 1434, 538, 3294, 267, 922, 3636, 21200, 538, 513, 7332, 5132, 1153, 568, 13778, 543, 814, 8329, 547, 513, 1713, 3376, 2287, 540, 519, 6437, 1303, 1856, 618, 585, 1053, 563, 347, 8196, 22684, 18044, 2506, 5523, 8943, 347, 0, 4263, 519, 4098, 540, 519, 30619, 2540, 267, 7489, 543, 3979, 2477, 941, 13026, 543, 6417, 676, 3864, 2829, 543, 519, 7330, 269, 1280, 3236, 267, 3703, 7276, 6417, 2551, 540, 476, 3393, 279, 2929, 1004, 269, 19934, 1185, 1152, 835, 12733, 267, 519, 32068, 22096, 267, 855, 922, 8513, 729, 476, 10602, 2053, 3677, 982, 19934, 269, 5125, 267, 5333, 267, 519, 7330, 543, 6576, 6417, 2477, 7489, 543, 3979, 11782, 269, 1280, 891, 10125, 2622, 2782, 594, 8118, 519, 7450, 547, 513, 4838, 538, 1158, 6214, 538, 799, 1896, 5380, 593, 3486, 1894, 2841, 539, 585, 3007, 538, 519, 1974, 540, 7214, 7542, 618, 630, 21914, 476, 2537, 1040, 24935, 827, 519, 10661, 540, 519, 1007, 2829, 267, 12206, 3717, 827, 3609, 540, 2477, 3238, 538, 513, 4655, 269, 1280, 3236, 267, 4436, 14699, 729, 23185, 676, 7754, 4149, 15442, 545, 3609, 3177, 538, 7203, 1690, 5271, 334, 269, 15394, 267, 519, 1455, 2631, 540, 2112, 4145, 519, 2055, 540, 3084, 3106, 267, 543, 2356, 7608, 543, 12913, 711, 593, 519, 4493, 540, 3903, 267, 855, 593, 519, 13279, 540, 3196, 4448, 609, 519, 17531, 29386, 1062, 269, 634, 1292, 12343, 540, 519, 13431, 296, 729, 1007, 6498, 540, 1379, 543, 1007, 1158, 1931, 269, 3267, 17004, 811, 454, 763, 10661, 540, 1007, 6082, 602, 941, 10125, 1282, 519, 15875, 11270, 568, 5702, 4448, 609, 6214, 543, 3486, 1894, 13856, 1282, 519, 1101, 3368, 540, 519, 30619, 2540, 269, 634, 1158, 781, 12556, 26523, 539, 593, 519, 6364, 540, 713, 7372, 4674, 547, 2743, 519, 31196, 3463, 540, 1158, 21037, 543, 11177, 3666, 540, 1379, 7498, 1607, 2376, 2488, 519, 3140, 543, 2797, 2188, 3297, 519, 5137, 540, 519, 2136, 13780, 267, 12116, 519, 2136, 13780, 25943, 543, 519, 4082, 540, 519, 6167, 779, 6859, 538, 519, 2136, 13780, 25943, 269, 634, 1353, 23607, 519, 6167, 779, 7145, 538, 16734, 922, 25943, 6859, 282, 12077, 267, 4509, 519, 3486, 1931, 563, 3080, 2115, 547, 5660, 602, 1312, 519, 4703, 941, 4646, 538, 519, 21987, 540, 2622, 12668, 602, 30635, 3042, 513, 1804, 851, 540, 519, 2919, 1158, 950, 6082, 13110, 540, 2112, 941, 3206, 540, 930, 8628, 3070, 547, 536, 4314, 2112, 585, 2479, 689, 519, 3068, 540, 519, 3618, 563, 22546, 540, 519, 2622, 12668, 593, 4516, 454, 763, 3974, 15048, 281, 634, 1764, 540, 519, 3689, 2622, 2782, 593, 4516, 729, 811, 1713, 538, 2474, 540, 2797, 3344, 855, 519, 5822, 2622, 2782, 1185, 811, 7986, 2318, 2360, 593, 519, 1514, 267, 2804, 543, 20320, 6724, 563, 13328, 4826, 12668, 269, 21744, 938, 8226, 4595, 938, 6689, 649, 723, 2141, 9228, 1216, 607, 606, 12808, 4199, 799, 786, 2760, 3819, 909, 610, 24044, 547, 2291, 269, 769, 938, 3119, 1153, 649, 616, 6026, 519, 1216, 4783, 602, 2687, 547, 938, 1257, 2835, 786, 979, 593, 585, 606, 552, 1181, 640, 543, 568, 513, 2760, 10678, 1184, 563, 13328, 2782, 476, 272, 543, 1215, 898, 8177, 539, 519, 2622, 4653, 7971, 1227, 267, 2983, 25140, 543, 8859, 1227, 269, 634, 3689, 2622, 2782, 1185, 513, 3126, 540, 4539, 609, 930, 2360, 2348, 9434, 2518, 2360, 269, 634, 2518, 2360, 1759, 593, 519, 21987, 540, 519, 2622, 2782, 594, 941, 2938, 543, 616, 1869, 1373, 14754, 11451, 538, 1899, 609, 519, 4346, 267, 6214, 267, 543, 2520, 641, 29176, 272, 2360, 563, 1103, 5168, 267, 891, 941, 519, 2621, 1310, 519, 3689, 2622, 2782, 799, 3366, 547, 519, 2034, 835, 269, 5333, 1185, 2907, 11124, 1768, 1026, 569, 998, 519, 4436, 14699, 676, 519, 1439, 540, 519, 1101, 2112, 269, 1656, 1256, 1498, 606, 10728, 3210, 689, 519, 3943, 2427, 729, 4986, 855, 2067, 267, 621, 5555, 8507, 538, 606, 3768, 574, 680, 11703, 3210, 2509, 519, 6381, 1459, 693, 602, 942, 563, 6097, 547, 519, 1867, 1312, 10617, 941, 10795, 543, 10645, 1082, 2729, 269, 2622, 2782, 594, 4718, 930, 476, 4792, 2929, 2367, 543, 2021, 20834, 1242, 547, 4339, 519, 2112, 267, 543, 540, 891, 930, 476, 279, 269, 276, 2929, 5747, 543, 936, 476, 2641, 2929, 20754, 269, 4438, 2622, 2782, 4083, 267, 606, 6059, 476, 4649, 2929, 7980, 543, 21127, 941, 7166, 269, 634, 2804, 9271, 941, 1768, 1026, 569, 5458, 563, 2005, 782, 6238, 609, 4764, 26311, 1524, 593, 3037, 267, 519, 3037, 865, 1136, 930, 540, 621, 547, 25579, 880, 519, 2371, 543, 4054, 543, 930, 547, 25579, 880, 519, 2666, 1216, 3761, 269, 634, 31629, 4764, 1216, 568, 27071, 1394, 883, 519, 4262, 799, 1586, 568, 12699, 676, 519, 3141, 2870, 1216, 22643, 832, 799, 1586, 2490, 883, 5230, 12269, 602, 1683, 4764, 563, 4415, 519, 4028, 2208, 540, 2551, 519, 3747, 585, 1216, 814, 849, 2799, 543, 519, 2959, 1434, 1216, 568, 896, 2604, 563, 9336, 10126, 7569, 1216, 269, 11982, 267, 2872, 267, 8027, 267, 3747, 676, 519, 9746, 23766, 568, 593, 519, 454, 273, 3817, 630, 4335, 1913, 264, 13625, 454, 7476, 513, 2688, 1957, 2854, 676, 513, 605, 896, 707, 4170, 2336, 310, 514, 513, 2027, 20591, 4596, 7419, 307, 2336, 21607, 538, 707, 552, 17733, 543, 4945, 519, 7735, 609, 707, 18822, 9416, 454, 7343, 569, 1250, 20591, 4596, 7419, 307, 454, 294, 582, 513, 16602, 2243, 286, 25547, 633, 606, 2626, 689, 1053, 899, 596, 256, 2521, 721, 2336, 12441, 333, 1405, 1265, 606, 1557, 888, 23086, 721, 3842, 14970, 13378, 267, 1289, 721, 693, 1341, 14321, 13199, 1220, 6187, 528, 6494, 606, 4757, 547, 18078, 17106, 11333, 3820, 0, 296, 993, 3168, 585, 3877, 593, 1946, 519, 15669, 19528, 602, 519, 9992, 24471, 14552, 941, 782, 834, 342, 8960, 4010, 519, 1482, 4463, 543, 2511, 27897, 8487, 14187, 2243, 256, 901, 3362, 15763, 1469, 538, 29527, 12920, 532, 3118, 781, 2110, 1650, 834, 306, 1245, 1512, 781, 5851, 257, 949, 3565, 538, 811, 982, 835, 1259, 547, 519, 2495, 540, 519, 960, 607, 513, 2898, 269, 1280, 835, 267, 713, 8523, 689, 918, 516, 321, 781, 840, 21351, 2395, 2982, 602, 646, 729, 2899, 851, 540, 513, 3677, 1514, 1770, 267, 5310, 1256, 598, 14127, 547, 519, 1448, 540, 9561, 1010, 23141, 269, 2991, 519, 2112, 267, 540, 1576, 267, 646, 781, 13998, 9678, 267, 543, 1010, 3993, 4667, 547, 723, 1500, 621, 1200, 2123, 1788, 547, 556, 15759, 3433, 1864, 883, 519, 1158, 540, 741, 4884, 281, 646, 2115, 547, 1205, 513, 2816, 267, 979, 856, 593, 7389, 267, 543, 865, 593, 563, 763, 26977, 540, 519, 9992, 24471, 630, 7474, 781, 9247, 1018, 789, 616, 267, 1256, 952, 789, 5749, 1405, 12777, 4108, 26977, 264, 949, 849, 1044, 2938, 607, 513, 4693, 24507, 585, 519, 7980, 262, 856, 22327, 602, 891, 1762, 2367, 786, 4166, 979, 593, 547, 5957, 269, 634, 1650, 3976, 949, 581, 1818, 513, 6085, 630, 527, 6157, 9327, 1405, 581, 519, 1152, 5339, 960, 547, 798, 865, 264, 827, 875, 519, 3689, 2622, 2782, 8297, 1441, 519, 2729, 540, 513, 2898, 5108, 540, 1762, 2367, 563, 4322, 1079, 4485, 5749, 1405, 519, 1152, 2081, 547, 1118, 2631, 540, 519, 9992, 24471, 10344, 538, 12920, 532, 3118, 781, 2110, 1650, 267, 540, 1576, 267, 855, 594, 4126, 602, 789, 3513, 2285, 596, 513, 1747, 547, 1376, 269, 594, 9364, 581, 5461, 538, 6217, 1018, 596, 2097, 909, 609, 538, 519, 1439, 256, 0, 20877, 545, 1374, 25701, 547, 1896, 3860, 3615, 585, 3308, 17284, 538, 1896, 4610, 540, 5876, 4481, 538, 2792, 269, 26597, 6163, 543, 1184, 616, 6964, 547, 5352, 513, 15164, 6041, 20762, 609, 3860, 2093, 585, 2792, 269, 634, 8642, 14704, 3217, 6351, 689, 1896, 3157, 899, 4484, 532, 267, 3308, 6698, 267, 543, 11768, 3435, 547, 2097, 856, 609, 606, 27610, 6041, 563, 763, 6364, 540, 8642, 1374, 568, 14754, 676, 721, 4948, 267, 950, 649, 2490, 547, 606, 29275, 538, 14786, 267, 17476, 610, 1256, 538, 8613, 610, 827, 519, 10297, 540, 3875, 2472, 799, 616, 6035, 3330, 519, 4558, 269, 634, 5888, 609, 6698, 267, 5022, 543, 2326, 3330, 513, 1374, 568, 540, 4105, 2956, 543, 519, 7376, 568, 15069, 6297, 11341, 547, 713, 1898, 3815, 540, 1010, 5137, 269, 589, 8642, 1374, 2835, 519, 3877, 543, 2035, 3330, 513, 1034, 11745, 2213, 6073, 547, 2327, 602, 8164, 621, 10301, 519, 593, 19972, 518, 610, 519, 6075, 267, 621, 1058, 2769, 519, 4743, 540, 6791, 563, 763, 1413, 2872, 814, 5280, 519, 6725, 540, 2472, 30140, 593, 2272, 540, 3608, 3308, 6041, 269, 634, 18294, 568, 8754, 6444, 676, 922, 20446, 267, 5094, 2681, 14565, 543, 4484, 532, 6163, 602, 713, 4564, 827, 519, 10297, 543, 24386, 269, 634, 5207, 5413, 5170, 547, 581, 10150, 609, 519, 3549, 585, 32107, 513, 5697, 1587, 607, 1134, 607, 538, 15980, 519, 1870, 3961, 998, 713, 5863, 1907, 563, 8448, 18689, 10706, 540, 519, 1184, 949, 581, 519, 17404, 540, 1257, 2835, 267, 602, 6451, 519, 29282, 543, 12222, 547, 1118, 621, 4443, 547, 1053, 269, 29093, 723, 30140, 5280, 1053, 547, 917, 519, 25727, 540, 1480, 14169, 543, 849, 519, 2090, 1831, 811, 24669, 547, 1053, 593, 519, 2898, 563, 763, 9913, 2872, 1031, 713, 12449, 547, 3132, 519, 8874, 2417, 4277, 269, 26358, 543, 13371, 2835, 616, 6505, 1806, 540, 519, 10626, 540, 12449, 269, 634, 28630, 2872, 568, 849, 28322, 1927, 609, 519, 8642, 609, 799, 621, 1223, 1374, 1585, 900, 21793, 610, 6272, 593, 519, 512, 6879, 16630, 607, 1134, 607, 824, 23157, 676, 1210, 5496, 8228, 3457, 563, 6124, 4944, 3639, 267, 17476, 543, 21075, 543, 1082, 3615, 689, 519, 1344, 1062, 946, 12449, 547, 2327, 789, 3078, 547, 519, 1004, 269, 634, 2121, 814, 15874, 519, 8642, 9858, 547, 28093, 32079, 476, 9262, 1372, 343, 1575, 5652, 1995, 609, 513, 1732, 6073, 547, 6813, 1344, 1369, 513, 3209, 1259, 269, 634, 9858, 616, 3238, 538, 1357, 8888, 267, 3301, 8888, 543, 849, 538, 2504, 540, 11768, 563, 2791, 786, 1265, 513, 3308, 2792, 17284, 950, 9858, 960, 24973, 609, 1357, 9367, 547, 3986, 519, 5920, 543, 1745, 689, 519, 1357, 3135, 547, 723, 2799, 8436, 269, 1358, 616, 3743, 585, 519, 8888, 540, 24069, 269, 634, 8642, 8888, 2872, 14621, 519, 5904, 1317, 519, 2629, 1907, 585, 1010, 610, 1200, 5106, 269, 23675, 543, 3301, 3156, 616, 16832, 3457, 547, 519, 3860, 4648, 547, 1711, 19579, 543, 1454, 1732, 6272, 547, 1205, 519, 6284, 689, 8436, 563, 5591, 767, 2093, 1397, 909, 689, 512, 1074, 1359, 609, 2093, 609, 519, 948, 540, 891, 8078, 2218, 2645, 269, 634, 5650, 786, 1118, 513, 3501, 2856, 689, 1585, 2592, 543, 1702, 1210, 519, 9058, 519, 5351, 540, 3301, 2645, 607, 1134, 607, 519, 2780, 269, 634, 3020, 5728, 5539, 538, 519, 8642, 14704, 568, 2141, 547, 1118, 606, 11460, 547, 3132, 513, 3308, 2792, 2500, 865, 602, 519, 8642, 1374, 568, 2111, 547, 5225, 519, 10700, 21233, 269, 0, 291, 7968, 3091, 2825, 2069, 14828, 585, 476, 1001, 275, 454, 763, 4972, 540, 7025, 10466, 20217, 3506, 267, 12621, 543, 9945, 267, 10315, 5726, 13102, 267, 18758, 3906, 267, 25772, 543, 4213, 547, 4019, 585, 2825, 2069, 14828, 547, 1020, 3292, 543, 3785 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 22518, 4515, 4979, 281, 589, 18043, 16709, 692, 296, 269, 4985, 692, 2026, 938, 2486, 5170, 547, 20920, 609, 519, 10848, 540, 6760, 543, 922, 1764, 593, 2950, 267, 621, 814, 1831, 5051, 1271, 585, 721, 547, 1174, 519, 8186, 540, 20737, 543, 519, 18144, 3297, 741, 3527, 269, 2290, 1935, 602, 814, 21959, 1229, 1713, 3007, 538, 2487, 1296, 568, 7803, 27992, 267, 799, 3322, 7421, 6760, 6429, 2963, 543, 824, 4143, 1239, 547, 1711, 513, 5626, 17855, 540, 606, 7164, 1055, 2658, 269, 901, 4480, 814, 1044, 2442, 1242, 676, 8613, 2982, 971, 607, 834, 290, 17964, 9650, 338, 257, 543, 834, 3682, 21745, 531, 12312, 2437, 855, 1018, 4010, 1281, 7803, 27992, 27167, 267, 543, 875, 2500, 568, 621, 538, 2259, 286, 769, 713, 1770, 267, 649, 786, 5490, 883, 891, 2055, 543, 2263, 519, 4241, 1158, 540, 7803, 27992, 607, 851, 540, 18837, 6530, 780, 2862, 269, 634, 3778, 540, 22518, 4515, 4979, 692, 288, 269, 7216, 23548, 25751, 692, 763, 5072, 540, 7803, 27992, 666, 581, 14360, 1394, 547, 519, 3735, 476, 866, 628, 2540, 950, 7969, 7128, 11464, 595, 525, 732, 700, 4861, 549, 810, 2919, 1010, 3069, 540, 693, 822, 1143, 267, 1064, 1746, 602, 1978, 2168, 4162, 941, 22566, 540, 7803, 21274, 269, 1717, 267, 2413, 7803, 27992, 5963, 3459, 547, 1491, 3337, 538, 519, 4571, 268, 736, 628, 2540, 609, 519, 960, 540, 1896, 8037, 5515, 267, 1519, 3703, 31897, 6276, 26883, 1088, 543, 31440, 8665, 20999, 31679, 523, 780, 289, 269, 634, 19928, 1903, 540, 6276, 26883, 1088, 692, 22832, 26883, 1088, 1101, 6591, 23146, 538, 519, 2361, 540, 7803, 27992, 1282, 519, 7634, 540, 519, 25337, 834, 32743, 645, 558, 828, 257, 2013, 538, 1715, 3840, 4975, 538, 519, 476, 4198, 271, 338, 269, 2991, 17265, 5022, 2366, 676, 519, 17177, 828, 267, 2059, 609, 3877, 827, 519, 10514, 902, 2933, 267, 26883, 1088, 2813, 513, 9043, 540, 519, 14353, 602, 6038, 9863, 4977, 538, 1082, 2081, 267, 1519, 519, 10419, 15249, 781, 2085, 267, 5920, 267, 13567, 267, 543, 1256, 1010, 6073, 3359, 269, 4014, 930, 3344, 540, 26883, 1088, 781, 9043, 723, 2094, 1044, 22309, 267, 1010, 14262, 960, 9788, 519, 5748, 585, 2104, 7835, 538, 7803, 27992, 780, 290, 269, 634, 10020, 540, 519, 31440, 781, 19884, 3163, 5149, 692, 1103, 519, 2038, 476, 3192, 271, 338, 267, 519, 8549, 13163, 540, 27148, 3964, 922, 19884, 3163, 5149, 630, 7034, 308, 264, 1369, 519, 2817, 4741, 585, 519, 5811, 540, 15329, 550, 17235, 630, 301, 7563, 31357, 1040, 7201, 519, 5718, 540, 20999, 31679, 523, 543, 2663, 20858, 18171, 601, 6229, 267, 519, 645, 24746, 3459, 3384, 9836, 2409, 585, 2870, 12632, 540, 10795, 25476, 1759, 593, 6760, 6429, 2079, 269, 1452, 2553, 1131, 979, 593, 547, 3310, 519, 1646, 540, 7803, 27992, 1472, 519, 1158, 780, 7656, 269, 7073, 22604, 547, 22518, 4515, 4979, 692, 288, 269, 15766, 894, 10017, 692, 3080, 4207, 1935, 547, 7803, 27992, 568, 1634, 607, 3329, 894, 6530, 267, 799, 11363, 12170, 1382, 543, 8579, 2079, 538, 519, 5137, 540, 1055, 2658, 12632, 269, 27505, 1229, 676, 6424, 2052, 614, 538, 519, 2136, 8003, 267, 713, 1505, 6212, 593, 7114, 3270, 538, 7803, 2623, 543, 1210, 1346, 3270, 547, 5352, 19165, 827, 519, 7209, 7592, 543, 4282, 540, 519, 1055, 2658, 780, 289, 269, 17235, 11059, 28483, 3590, 692, 5194, 4922, 1031, 5943, 585, 7803, 27992, 568, 519, 17235, 11059, 28483, 3590, 630, 290, 4338, 306, 1070, 2919, 676, 3627, 19958, 543, 9164, 693, 519, 31440, 781, 645, 24746, 269, 9122, 593, 5756, 540, 1995, 7421, 17626, 10963, 267, 26480, 306, 17337, 519, 25213, 883, 1585, 3334, 267, 971, 607, 7041, 267, 6388, 267, 543, 2022, 11325, 1619, 2623, 267, 3850, 22602, 547, 2697, 1883, 10486, 1063, 2665, 543, 1628, 513, 811, 2347, 4605, 540, 519, 1055, 2658, 780, 4353, 269, 7600, 2294, 543, 2552, 7337, 625, 28259, 532, 22518, 4515, 4979, 692, 8601, 922, 8560, 267, 7803, 27992, 3788, 513, 11786, 1888, 1851, 1312, 3173, 543, 9439, 269, 2368, 1455, 31886, 1331, 1384, 288, 269, 3683, 516, 18910, 593, 853, 699, 8040, 692, 5278, 8044, 602, 7803, 27992, 12346, 1932, 8185, 593, 32616, 673, 10054, 827, 4008, 267, 5198, 267, 14227, 4567, 267, 543, 824, 15295, 2188, 267, 3056, 547, 1761, 12886, 543, 6959, 538, 519, 27992, 1184, 269, 1280, 1383, 267, 952, 513, 9043, 17648, 602, 782, 17626, 6146, 619, 616, 3043, 2367, 689, 2539, 11665, 10080, 267, 1287, 1875, 22554, 5256, 31268, 949, 581, 15490, 569, 15763, 610, 25323, 780, 289, 269, 17290, 4406, 7190, 543, 4039, 6636, 692, 2467, 568, 5571, 7521, 3823, 519, 14496, 543, 10727, 540, 7803, 27992, 607, 513, 3621, 1907, 269, 2755, 930, 2090, 2303, 602, 1527, 32078, 666, 8308, 3589, 1978, 3344, 540, 606, 1055, 2658, 781, 3961, 610, 2623, 267, 1866, 25077, 602, 891, 4681, 616, 21016, 5477, 1813, 547, 1507, 3732, 7306, 267, 22522, 16097, 267, 543, 824, 2152, 269, 5047, 267, 1317, 1034, 7803, 27992, 2553, 616, 1759, 593, 4274, 6644, 2864, 982, 2182, 2963, 267, 789, 949, 3668, 519, 22759, 2838, 585, 8098, 1170, 2225, 538, 5480, 780, 309, 269, 7464, 28131, 10241, 540, 22518, 4515, 4979, 692, 8253, 5976, 9227, 922, 7687, 267, 7803, 27992, 814, 8810, 3730, 538, 3875, 1483, 8996, 8658, 269, 1280, 3236, 1384, 288, 269, 14572, 12019, 27418, 692, 3528, 6313, 5667, 9407, 2665, 998, 519, 7828, 540, 7803, 27992, 267, 1876, 11268, 8041, 723, 6707, 4857, 5892, 11389, 322, 1758, 1242, 6402, 1063, 9583, 19635, 10963, 267, 17766, 1007, 1769, 593, 1279, 1673, 768, 656, 13753, 780, 289, 269, 16473, 532, 8892, 5510, 5151, 692, 7437, 6297, 2079, 540, 2250, 10963, 543, 8446, 540, 6932, 3270, 267, 7803, 27992, 666, 948, 8128, 18783, 543, 2061, 2104, 1055, 5151, 8149, 676, 1634, 25476, 780, 9654, 269, 10390, 692, 290, 17964, 27992, 4564, 513, 3532, 2943, 20541, 1907, 538, 519, 19070, 531, 540, 18837, 6530, 269, 1306, 2029, 8441, 543, 938, 1620, 540, 1480, 2623, 2620, 839, 267, 865, 1932, 786, 938, 2702, 547, 946, 7803, 27992, 3927, 1247, 10893, 1761, 25354, 269, 1635, 6967, 26256, 714, 656, 540, 922, 9342, 543, 12755, 267, 649, 666, 3136, 17975, 713, 3407, 4480, 538, 13287, 540, 5126, 543, 1857, 3106, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8368, 540, 9115, 912, 268, 1548, 1705, 595, 32008, 21546, 798, 888, 268, 6496, 21546, 781, 17374, 4019, 547, 3425, 888, 268, 6496, 21546, 781, 17374, 1152, 4019, 547, 2831, 888, 268, 1548, 1281, 513, 13354, 18673, 798, 888, 268, 1215, 1454, 798, 13354, 16895, 1118, 888, 268, 1215, 1454, 2724, 1281, 513, 18837, 18673, 1118, 888, 268, 1684, 596, 991, 513, 623, 8461, 547, 581, 513, 18837, 18673, 888, 268, 1772, 972, 513, 1164, 3747, 585, 18837, 16895, 888, 268, 1772, 7803, 6530, 513, 1434, 4876, 888, 268, 1772, 7803, 6530, 2352, 888, 268, 3657, 7803, 16895, 538, 3747, 888, 268, 1215, 1454, 1281, 513, 1527, 8814, 585, 519, 31440, 1118, 513, 1032, 888, 268, 1548, 798, 31440, 2027, 8069, 1205, 6976, 888, 268, 1548, 568, 519, 5207, 9878, 31440, 2816, 888, 268, 1215, 1454, 798, 31440, 22601, 308, 8069, 1205, 6976, 888, 268, 2052, 596, 1831, 31440, 1527, 8814, 888, 268, 1772, 2623, 25566, 513, 1434, 4876, 888, 268, 1772, 7803, 1527, 8814, 513, 1483, 2816, 888, 268, 1215, 798, 596, 1831, 513, 7803, 1527, 8814, 585, 519, 31440, 888, 268, 5808, 568, 519, 1655, 31440, 1527, 8814, 888, 1432, 1705, 595, 32008, 21546, 798, 888, 299, 331, 20477, 21546, 267, 630, 9799, 4924, 269, 476, 277, 267, 476, 6977, 273, 267, 5507, 1765, 323, 1221, 8575, 267, 670, 770, 902, 267, 12246, 16303, 267, 1621, 13776, 3703, 18186, 6048, 543, 18673, 267, 3006, 524, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 290, 17964, 4515, 4979, 257, 607, 851, 540, 834, 25787, 1315, 5983, 14750, 10017, 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, 7170, 281, 1215, 547, 5269, 17786, 6853, 5794, 6363, 3072, 1677, 14673, 692, 272, 269, 2878, 16521, 519, 1318, 1826, 540, 31949, 5093, 1280, 1655, 2164, 267, 1904, 585, 6109, 610, 3063, 1922, 3305, 31949, 607, 621, 3568, 1447, 1216, 982, 824, 2010, 269, 901, 786, 948, 2327, 513, 26546, 1512, 9403, 950, 11273, 538, 519, 2011, 26650, 518, 563, 273, 269, 2878, 291, 1778, 543, 2046, 519, 31949, 5093, 1677, 4894, 4430, 7509, 267, 16833, 519, 3625, 540, 31949, 538, 513, 2973, 10051, 24621, 610, 1957, 28734, 543, 1747, 1945, 5230, 593, 1283, 267, 971, 607, 513, 1236, 32576, 610, 2835, 269, 2913, 621, 1694, 585, 693, 2547, 476, 1789, 3764, 269, 901, 1900, 568, 2629, 585, 8236, 513, 5743, 6853, 16538, 563, 274, 269, 2878, 29493, 519, 31949, 883, 18695, 610, 21100, 5093, 4495, 27071, 543, 20399, 267, 2759, 519, 31949, 883, 11116, 13355, 18695, 610, 6094, 21100, 267, 4470, 593, 707, 13283, 269, 31538, 4773, 786, 3434, 811, 14961, 563, 275, 269, 2878, 7093, 17742, 519, 2011, 26650, 518, 5093, 4107, 2011, 26650, 619, 2154, 840, 515, 908, 1354, 4946, 5820, 269, 5590, 16523, 547, 519, 3617, 2837, 630, 19925, 476, 23841, 13790, 610, 476, 5002, 9180, 264, 543, 1577, 621, 3002, 909, 1247, 596, 5965, 519, 31949, 563, 276, 269, 2878, 11321, 3729, 519, 31949, 630, 28436, 2567, 1262, 2755, 519, 2011, 26650, 518, 646, 1846, 909, 267, 31953, 1927, 707, 3903, 540, 2261, 514, 1228, 538, 513, 13719, 8670, 269, 5410, 519, 7750, 539, 31949, 543, 9900, 19184, 2394, 22862, 269, 14190, 621, 547, 2261, 3729, 585, 693, 2547, 476, 1428, 3764, 585, 5021, 8137, 10338, 269, 1403, 596, 4782, 513, 12863, 4005, 532, 1505, 267, 20057, 548, 14546, 2047, 5196, 519, 31949, 1354, 5986, 563, 277, 269, 2878, 20278, 31949, 538, 519, 2011, 26650, 518, 11127, 5093, 28081, 519, 2261, 3990, 31949, 538, 513, 2582, 4494, 538, 519, 2011, 26650, 518, 11127, 267, 4180, 972, 781, 2614, 2230, 1472, 1142, 4062, 585, 1697, 10009, 269, 13648, 538, 10627, 2583, 952, 2556, 563, 278, 269, 2878, 8967, 2001, 610, 11453, 609, 3282, 5093, 700, 4774, 10359, 519, 31949, 609, 5986, 10936, 610, 11453, 621, 609, 14462, 3282, 547, 3895, 536, 20621, 543, 2061, 23578, 269, 2142, 13533, 711, 547, 936, 4777, 621, 282, 1932, 1454, 3282, 666, 1291, 547, 521, 690, 4445, 31949, 563, 279, 269, 2878, 21080, 1922, 787, 519, 31949, 5093, 13648, 519, 31949, 585, 5111, 476, 1015, 268, 1428, 3764, 267, 1166, 6235, 28870, 998, 267, 610, 2394, 11344, 6960, 543, 5743, 6853, 593, 782, 5011, 269, 17797, 5986, 942, 1759, 593, 707, 1808, 2011, 26650, 518, 2203, 543, 5551, 1377, 540, 1810, 8864, 563, 280, 269, 2878, 306, 2925, 5612, 5093, 17949, 707, 5743, 6853, 2011, 1922, 3072, 31949, 1247, 3905, 256, 31160, 607, 513, 1292, 8670, 267, 2427, 267, 610, 6451, 621, 883, 25235, 267, 13489, 1922, 1845, 267, 610, 10286, 26633, 269, 700, 1030, 1729, 951, 666, 581, 6740, 538, 606, 2011, 31259, 8708, 538, 519, 21067, 585, 909, 547, 1614, 2395, 269, 1234, 17742, 538, 519, 2011, 26650, 518, 547, 2226, 26546, 1465, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2252, 596, 2461, 693, 782, 899, 803, 267, 1287, 596, 949, 723, 1101, 1835, 532, 539, 693, 519, 2856, 540, 1210, 606, 2011, 26650, 518, 269, 23883, 950, 596, 666, 3434, 3388, 596, 991, 538, 707, 9985, 5827, 14089, 563, 3719, 1310, 3843, 606, 2011, 26650, 518, 267, 596, 1483, 2213, 1175, 875, 2653, 621, 729, 547, 946, 269, 1261, 1188, 267, 930, 1256, 2097, 609, 15261, 19712, 7207, 630, 3697, 713, 2910, 306, 3036, 296, 2011, 26650, 518, 264, 602, 1450, 596, 547, 26650, 689, 519, 4313, 540, 707, 865, 17304, 269, 1656, 547, 1283, 621, 782, 1055, 267, 621, 7472, 5863, 569, 5743, 6853, 1426, 602, 568, 19599, 2635 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2304, 8966, 6292, 540, 17411, 543, 838, 719, 539, 8043, 689, 3162, 3013, 269, 3245, 519, 1085, 656, 1344, 602, 594, 723, 1336, 2139, 789, 941, 1034, 2693, 1500, 585, 519, 5053, 676, 2199, 1494, 1562, 28069, 1282, 519, 476, 1626, 628, 11416, 269, 1358, 723, 519, 4778, 540, 2776, 4211, 565, 3518, 1014, 23907, 855, 519, 5546, 941, 9090, 9598, 730, 676, 7810, 13896, 269, 634, 26339, 540, 519, 1079, 568, 476, 276, 257, 538, 4463, 676, 476, 276, 476, 272, 270, 273, 257, 689, 519, 9133, 540, 519, 26311, 838, 719, 547, 519, 1394, 540, 519, 6023, 269, 1358, 1312, 723, 9764, 17031, 13279, 585, 6617, 269, 4033, 982, 513, 1906, 13365, 543, 29565, 2583, 689, 3504, 6165, 789, 616, 16856, 543, 607, 1336, 269, 15020, 1906, 4773, 689, 713, 1974, 723, 15068, 519, 5553, 543, 616, 1869, 2139, 2221, 269, 1358, 1118, 606, 5140, 4334, 607, 851, 540, 513, 2776, 4211, 565, 3518, 1014, 4015, 948, 547, 10250, 519, 2242, 5189, 1310, 5053, 11175, 538, 634, 1715, 2622, 269, 0, 24718, 1433, 5777, 454, 520, 476, 8099, 2228, 29481, 454, 16447, 4204, 585, 519, 9803, 3902, 585, 1007, 1299, 1031, 9499, 543, 454, 4134, 12248, 2835, 256, 476, 272, 4945, 547, 1205, 1390, 9388, 593, 10464, 2835, 267, 10464, 454, 3667, 9248, 1299, 10958, 2852, 9499, 593, 9042, 563, 763, 13898, 540, 5590, 7869, 281, 1323, 4985, 547, 22616, 528, 781, 21537, 1047, 454, 12441, 22616, 528, 3605, 519, 3638, 543, 9490, 1158, 540, 13816, 9548, 5036, 630, 6518, 23664, 6975, 729, 547, 1289, 22616, 528, 781, 834, 13640, 611, 1047, 8442, 610, 1705, 646, 1711, 621, 286, 3657, 1305, 28466, 1631, 12423, 811, 827, 519, 7122, 547, 799, 22616, 528, 4951, 721, 519, 1259, 267, 616, 789, 12423, 811, 827, 1018, 646, 2813, 610, 616, 789, 11173, 519, 3860, 1184, 286, 5590, 3069, 568, 513, 1587, 540, 519, 476, 866, 628, 10601, 3350, 547, 20818, 2810, 6551, 712, 593, 6128, 267, 799, 19411, 730, 538, 519, 2845, 6291, 540, 6154, 613, 543, 21651, 543, 519, 6101, 1143, 540, 23664, 6975, 269, 634, 1267, 540, 519, 5821, 4628, 547, 29311, 2901, 519, 7954, 626, 610, 6101, 626, 15961, 568, 606, 1383, 540, 24936, 11703, 1305, 3069, 267, 855, 835, 799, 3112, 581, 28025, 4744, 18620, 689, 922, 7954, 626, 8129, 269, 8616, 7954, 4805, 1131, 711, 1291, 721, 883, 519, 13816, 9548, 282, 13816, 9548, 1305, 3069, 19674, 607, 519, 5943, 1369, 799, 649, 666, 2601, 827, 519, 12808, 269, 634, 991, 547, 512, 877, 519, 12808, 543, 1118, 621, 2922, 585, 13113, 267, 1480, 2601, 6013, 538, 519, 6128, 540, 15364, 269, 8347, 532, 547, 1589, 17396, 569, 827, 6024, 3172, 6421, 971, 607, 2230, 543, 942, 543, 827, 6024, 20517, 2306, 30925, 609, 519, 12808, 538, 525, 5115, 762, 269, 4634, 952, 649, 798, 711, 1995, 28222, 1804, 610, 28222, 1507, 3615, 799, 649, 32230, 540, 519, 2168, 1158, 607, 513, 2898, 538, 799, 2230, 543, 942, 616, 6024, 3172, 6421, 543, 538, 799, 2168, 3615, 1847, 11179, 649, 3112, 2057, 2911, 540, 519, 12808, 269, 22616, 528, 781, 834, 13640, 611, 1047, 257, 9607, 519, 6679, 2055, 676, 2519, 593, 519, 1259, 538, 799, 519, 27795, 791, 4680, 10343, 540, 519, 12808, 543, 593, 519, 1966, 602, 519, 27795, 1869, 13514, 585, 1305, 3069, 563, 13146, 3883, 590, 792, 2583, 912, 25835, 268, 1015, 270, 25835, 268, 1724, 281, 476, 7176, 272, 28873, 16020, 278, 1315, 476, 7818, 268, 7176, 272, 28873, 16020, 271, 1315, 17437, 31472, 18868, 540, 715, 16197, 517, 6953, 611, 1258, 3509, 10610, 3590, 281, 3245, 17437, 1975, 1231, 1299, 12379, 976, 538, 715, 16197, 328, 547, 2372, 1046, 2274, 17980, 17437, 8212, 2433, 18619, 540, 519, 476, 1691, 628, 681, 322, 12639, 14642, 10440, 4139, 32600, 1315, 476, 7176, 272, 28873, 278, 7830, 271, 1315, 476, 7818, 268, 7176, 272, 28873, 278, 7830, 274, 1315, 27824, 7232, 14390, 13804, 1115, 543, 4256, 10241, 281, 18619, 540, 519, 476, 1691, 628, 4139, 22544, 590, 7776, 6754, 334, 267, 8478, 476, 272, 268, 275, 5181, 476, 1960, 277, 630, 305, 732, 7232, 14390, 13804, 1115, 543, 4256, 10241, 264, 1315, 476, 7176, 272, 28873, 278, 5780, 274, 1315, 476, 7818, 268, 7176, 272, 28873, 278, 5780, 272, 1315, 22365, 28124, 1977, 769, 16955, 11061, 267, 476, 4198, 271, 268, 1220, 271, 281, 29120, 7433, 540, 674, 6993, 269, 29158, 630, 13328, 11660, 10022, 538, 476, 736, 628, 11416, 11061, 264, 1315, 476, 7176, 272, 28873, 6507, 278, 280, 1315, 476, 7818, 268, 7176, 272, 28873, 6507, 278, 278, 1315, 476, 2537, 6113, 4139, 10985, 593, 519, 8212, 540, 590, 2438, 13503, 832, 281, 12670, 267, 5125, 5147, 476, 2641, 268, 2918, 267, 476, 1960, 277, 630, 275, 5292, 5590, 264, 1315, 476, 7176, 272, 28873, 6507, 280, 276, 1315, 476, 7818, 268, 7176, 272, 28873, 6507, 280, 272, 1315, 3194, 11120, 1988, 585, 519, 8892, 540, 17437, 6052, 281, 18619, 540, 606, 3416, 4147, 476, 272, 5440, 673, 20051, 1315, 476, 7176, 272, 28873, 4281, 280, 273, 1315, 476, 7818, 268, 7176, 272, 28873, 4281, 280, 271, 1315, 12856, 540, 28820, 10840, 1299, 16504, 17460, 281, 18619, 540, 519, 4139, 10985, 593, 17437, 8212, 693, 519, 12414, 540, 519, 7085, 3317, 1756, 2433, 8187, 15227, 267, 3162, 4000, 267, 4728, 476, 1015, 268, 1626, 267, 1960, 277, 1315, 476, 7176, 272, 28873, 8064, 278, 274, 1315, 476, 7818, 268, 7176, 272, 28873, 8064, 278, 276, 1315, 18619, 540, 519, 22544, 593, 717, 2459, 5684, 1877, 8212, 281, 20588, 267, 6970, 476, 272, 268, 273, 5412, 267, 476, 1960, 276, 1315, 2836, 604, 4700, 22544, 593, 717, 2459, 5684, 1877, 8212, 630, 1960, 276, 20588, 267, 594, 269, 962, 269, 10557, 476, 7176, 272, 28873, 3199, 275, 311, 1315, 476, 7818, 268, 7176, 272, 28873, 3199, 275, 271, 1315, 20603, 543, 12229, 7177, 1315, 670, 269, 6931, 267, 589, 269, 623, 333, 3241, 328, 476, 7176, 272, 28873, 3199, 276, 279, 1315, 476, 7818, 268, 7176, 272, 28873, 3199, 276, 278, 1315, 1975, 514, 18868, 543, 10965, 1389, 538, 14271, 577, 8527, 6425, 1315, 590, 269, 962, 269, 10557, 476, 7176, 272, 28873, 3199, 278, 275, 1315, 476, 7818, 268, 7176, 272, 28873, 3199, 278, 272, 1315, 634, 19556, 25925, 540, 8212, 281, 589, 17341, 11730, 585, 19863, 324, 898, 5414, 802, 517, 15762, 26792, 267, 5333, 476, 276, 268, 278, 4873, 476, 1960, 277, 630, 28723, 10022, 538, 19556, 8212, 267, 5292, 269, 476, 2190, 264, 1315, 476, 7176, 272, 28873, 279, 2767, 280, 1315, 476, 7818, 268, 7176, 272, 28873, 279, 2767, 280, 1315, 4457, 3816, 664, 1457, 14497, 281, 10241, 538, 17270, 267, 32017, 267, 15303, 2762, 1315, 595, 269, 667, 532, 267, 667, 269, 3212, 328, 267, 589, 269, 6428, 5448, 320, 476, 7176, 272, 28873, 279, 3066, 276, 1315, 476, 7818, 268, 7176, 272, 28873, 279, 3066, 274, 1315, 12655, 6052, 543, 7025, 5303, 267, 5607, 7414, 10985, 1315, 717, 269, 1627, 269, 13198, 267, 623, 269, 674, 269, 5682, 267, 595, 269, 962, 1421, 631, 6185, 269, 20568, 267, 808, 269, 670, 269, 570, 599, 476, 7176, 272, 28873, 279, 5655, 273, 1315, 476, 7818, 268, 7176, 272, 28873, 279, 5655, 273, 1315, 9980, 22241, 1975, 659, 8135, 7869, 630, 298, 1299, 661, 10022, 593, 12928, 1824, 543, 18421, 267, 5292, 269, 476, 1724, 264, 1315, 10793, 14022, 601, 476, 7176, 272, 28873, 279, 4510, 280, 1315, 476, 7818, 268, 7176, 272, 28873, 279, 4510, 277, 1315, 25043, 540, 17747, 23317, 538, 519, 8752, 540, 1715, 5303, 1315, 476, 7176, 272, 28873, 5952, 277, 273, 1315, 476, 7818, 268, 7176, 272, 28873, 5952, 277, 280, 1315, 5685, 924, 18323, 12197, 7869, 1315, 12891, 758, 30605, 476, 7176, 272, 28873, 279, 3199, 276, 1315, 476, 7818, 268, 7176, 272, 28873, 279, 3199, 275, 1315, 12729, 17421, 1410, 322, 14591, 538, 1230, 24503, 730, 2717, 2096, 619, 281, 17449, 19196, 527, 517, 12411, 639, 590, 2438, 13503, 528, 17020, 7844, 1315, 476, 7176, 272, 28873, 8660, 278, 311, 1315, 476, 7818, 268, 7176, 272, 28873, 8660, 278, 273, 1315, 16874, 1258, 7502, 3187, 8212, 1315, 667, 269, 645, 529, 10314, 476, 7176, 272, 28873, 3445, 275, 277, 1315, 476, 7818, 268, 7176, 272, 28873, 3445, 275, 278, 1315, 7351, 14313, 538, 11933, 3749, 8212, 1315, 645, 269, 670, 269, 8055, 267, 623, 269, 808, 269, 744, 262, 291, 517, 24274, 476, 7176, 272, 28873, 3445, 279, 280, 1315, 476, 7818, 268, 7176, 272, 28873, 3445, 279, 276, 1315, 11628, 3427, 593, 13229, 28636, 281, 1325, 22861, 1815, 541, 267, 21081, 3385, 267, 8050, 2433, 476, 2918, 4873, 268, 272, 5147, 476, 1960, 276, 1315, 476, 7176, 272, 28873, 280, 6246, 278, 1315, 476, 7818, 268, 7176, 272, 28873, 280, 6246, 277, 1315, 10819, 543, 10298, 538, 11933, 3749, 543, 19556, 8212, 281, 13823, 2563, 10819, 1315, 4024, 328, 6953, 753, 853, 2465, 321, 476, 7176, 272, 28873, 4817, 277, 280, 1315, 476, 7818, 268, 7176, 272, 28873, 4817, 277, 277, 1315, 13419, 3055, 7010, 281, 15765, 23113, 267, 20905, 1299, 7010, 1315, 476, 7176, 272, 28873, 7176, 277, 271, 1315, 476, 7818, 268, 7176, 272, 28873, 7176, 277, 274, 1315, 634, 11906, 18868, 543, 918, 27282, 540, 9540, 7101, 25025, 630, 28723, 10022, 538, 8447, 11061, 267, 5292, 476, 277, 264, 1315, 476, 7176, 272, 28873, 4200, 277, 279, 1315, 476, 7818, 268, 7176, 272, 28873, 4200, 277, 273, 1315, 21558, 15190, 18122, 543, 7353, 17190, 593, 19045, 5080, 5865, 630, 28723, 10022, 538, 8447, 11061, 6902, 5292, 269, 476, 276, 264, 1315, 476, 7176, 272, 271, 2537, 16573, 279, 1315, 476, 7818, 268, 7176, 272, 271, 2537, 16573, 280, 1315, 5292, 339, 2459, 13011, 11576, 832, 281, 26386, 543, 10241, 538, 7025, 11061, 1315, 589, 269, 966, 9567, 3258, 641, 9567, 657, 267, 918, 269, 17833, 7815, 476, 7176, 272, 271, 2537, 23713, 276, 1315, 476, 7818, 268, 7176, 272, 271, 2537, 23713, 279, 1315, 18882, 540, 17460, 543, 12472, 540, 8895, 1314, 625, 1315, 476, 7176, 272, 271, 2537, 27888, 311, 1315, 476, 7818, 268, 7176, 272, 271, 2537, 27888, 280, 1315, 9697, 770, 1886, 1127, 543, 1290, 1115, 281, 634, 20121, 5797, 619, 540, 15328, 6193, 18321, 630, 13328, 11660, 10022, 538, 18395, 543, 8330, 5268, 12695, 2073, 5292, 476, 274, 264, 1315, 8841, 1849, 4209, 267, 9291, 13845, 1512, 476, 7176, 272, 271, 2537, 271, 4510, 274, 1315, 476, 7818, 268, 7176, 272, 271, 2537, 271, 4510, 280, 1315, 18619, 540, 519, 476, 275, 628, 22544, 593, 623, 14505, 1412, 9834, 281, 23155, 7010, 1299, 27122, 2433, 3194, 4741, 7325, 747, 267, 5125, 476, 1015, 268, 1321, 4989, 476, 1960, 277, 1315, 22544, 593, 623, 3008, 288, 476, 9834, 630, 275, 628, 2433, 476, 1960, 277, 2433, 3194, 4741, 7325, 747, 264, 476, 7176, 272, 271, 2537, 271, 5325, 279, 1315, 476, 7818, 268, 7176, 272, 271, 2537, 271, 5325, 271, 1315, 5101, 5607, 543, 5375, 7414, 25561, 1108, 543, 8693, 281, 18619, 540, 519, 476, 274, 6113, 10985, 1315, 595, 269, 623, 269, 26284, 267, 3627, 5500, 595, 269, 700, 269, 26960, 476, 7176, 272, 271, 2537, 30588, 279, 1315, 476, 7818, 268, 7176, 272, 271, 2537, 30588, 271, 1315, 23397, 24658, 17796, 4635, 4039, 520, 643, 2065, 5082, 6425, 267, 689, 5606, 14518, 547, 2473, 7304, 904, 281, 674, 7931, 5606, 14518, 547, 2473, 7304, 904, 630, 306, 7685, 593, 14271, 577, 8527, 1258, 24658, 9828, 543, 10241, 267, 5292, 269, 476, 275, 264, 1315, 476, 7176, 272, 271, 2537, 6187, 278, 273, 1315, 476, 7818, 268, 7176, 272, 271, 2537, 6187, 278, 279, 1315, 18619, 540, 519, 22544, 593, 3220, 8882, 15505, 3525, 2737, 267, 3525, 983, 2480, 1335, 525, 543, 10241, 281, 25548, 523, 5174, 625, 523, 476, 280, 268, 1691, 5181, 476, 1960, 277, 1315, 454, 763, 3804, 540, 713, 3896, 568, 547, 948, 6300, 11825, 5635, 1433, 5777, 689, 1114, 454, 341, 754, 832, 1315, 23965, 543, 1265, 10464, 2835, 543, 10464, 2852, 9499, 269, 3509, 10958, 454, 9248, 543, 10958, 1257, 2835, 616, 2322, 593, 9042, 676, 31680, 1433, 21625, 543, 454, 4134, 12248, 29481, 4948, 269, 2353, 596, 991, 547, 798, 568, 547, 3406, 543, 1265, 873, 269, 901, 454, 338, 924, 849, 2488, 1082, 1433, 6402, 547, 930, 2101, 29481, 585, 1433, 3877, 543, 454, 1504, 19420, 976, 269, 1809, 581, 2386 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4750, 267, 2019, 269, 476, 28510, 267, 1100, 269, 476, 272, 267, 6032, 269, 476, 29483, 268, 17734, 267, 476, 1960, 272, 563, 268, 717, 269, 589, 269, 15243, 344, 267, 968, 288, 5404, 290, 16061, 2000, 716, 600, 1162, 2223, 11916, 31814, 17352, 267, 2019, 269, 476, 2420, 267, 1100, 269, 476, 272, 267, 6032, 269, 476, 14065, 1700, 9264, 267, 476, 1220, 280, 563, 268, 918, 269, 700, 269, 4258, 342, 267, 681, 269, 570, 269, 6931, 267, 543, 808, 269, 654, 269, 1855, 334, 267, 968, 298, 548, 2125, 328, 7578, 16415, 324, 538, 14135, 281, 5409, 341, 597, 12040, 5563, 543, 519, 16087, 777, 523, 655, 848, 3463, 2223, 13571, 4536, 538, 8426, 983, 543, 25124, 31814, 267, 2019, 269, 476, 278, 267, 476, 1001, 278, 563, 268, 808, 269, 595, 269, 932, 334, 267, 631, 269, 589, 269, 674, 328, 648, 333, 5633, 267, 543, 590, 269, 808, 269, 6480, 2784, 320, 267, 968, 290, 14285, 565, 9926, 2033, 14121, 1794, 984, 716, 600, 281, 513, 3209, 524, 31525, 30950, 514, 270, 15512, 2000, 716, 600, 848, 28166, 4999, 2223, 24103, 8839, 267, 2019, 269, 476, 3374, 267, 1100, 269, 476, 278, 267, 6032, 269, 476, 3583, 272, 1700, 278, 1428, 267, 476, 1001, 276, 563, 268, 661, 269, 2983, 2358, 518, 543, 681, 269, 681, 269, 1772, 6199, 267, 968, 11328, 2452, 1063, 15084, 4187, 543, 2205, 18834, 1282, 2068, 15469, 676, 17326, 2607, 15033, 4551, 2223, 634, 4750, 540, 29956, 15302, 267, 2019, 269, 476, 21497, 267, 1100, 269, 476, 272, 267, 6032, 269, 590, 280, 1700, 306, 1704, 267, 476, 1001, 278, 563, 268, 681, 269, 589, 269, 25024, 267, 968, 1805, 24780, 543, 6198, 3344, 540, 6905, 1606, 1051, 5300, 18041, 322, 524, 31525, 30950, 514, 1162, 2223, 7351, 10684, 28080, 1115, 267, 2019, 269, 476, 1704, 267, 1100, 269, 476, 280, 267, 6032, 269, 476, 10755, 272, 1700, 11793, 271, 267, 476, 1001, 277, 563, 268, 589, 269, 631, 269, 10348, 534, 267, 645, 269, 674, 18036, 334, 267, 595, 269, 717, 1144, 2917, 267, 661, 269, 654, 4275, 267, 543, 918, 269, 17312, 267, 968, 22546, 338, 540, 26912, 4918, 543, 16061, 6441, 716, 600, 848, 2534, 538, 2549, 335, 290, 268, 543, 6905, 4149, 1051, 5300, 16061, 6441, 716, 600, 848, 630, 2464, 13993, 9984, 335, 18166, 1965, 7815, 747, 807, 19546, 543, 737, 548, 2125, 328, 7578, 16415, 324, 4791, 25904, 7318, 676, 1210, 715, 6717, 11862, 11536, 13993, 12191, 2223, 4750, 540, 11916, 31814, 267, 2019, 269, 476, 5655, 267, 1100, 269, 476, 272, 267, 6032, 269, 476, 29483, 1700, 22550, 267, 476, 1220, 275, 563, 268, 654, 11607, 295, 269, 2098, 29697, 543, 2098, 11607, 304, 269, 13535, 267, 968, 292, 3671, 655, 5735, 543, 11976, 540, 11632, 311, 5336, 6905, 1606, 1051, 5300, 16061, 2000, 716, 600, 1162, 538, 12896, 24308, 4551, 2223, 11879, 17352, 538, 31814, 267, 2019, 269, 476, 4375, 267, 1100, 269, 476, 272, 267, 6032, 269, 476, 8064, 1700, 6200, 267, 476, 1001, 274, 563, 268, 681, 269, 22616, 11252, 267, 808, 269, 631, 269, 30781, 5451, 548, 345, 25575, 9346, 267, 543, 808, 269, 595, 269, 8895, 17505, 267, 968, 6311, 311, 5336, 11476, 281, 5169, 543, 18236, 2223, 13571, 4536, 538, 31814, 267, 2019, 269, 476, 274, 267, 476, 1001, 273, 563, 268, 589, 269, 21960, 3630, 597, 543, 623, 269, 590, 269, 674, 1066, 8291, 267, 968, 301, 7865, 30846, 538, 519, 5642, 20768, 2223, 7788, 1023, 540, 519, 1715, 3840, 9142, 540, 7070, 267, 2019, 269, 476, 15389, 271, 267, 1100, 269, 476, 272, 267, 6032, 269, 476, 11025, 1700, 9834, 267, 476, 1001, 277, 563, 268, 631, 269, 631, 269, 667, 262, 4517, 16699, 267, 674, 269, 589, 1066, 320, 267, 700, 269, 623, 4150, 322, 14024, 267, 543, 717, 269, 631, 269, 17664, 565, 7236, 267, 968, 6311, 311, 5336, 15178, 16061, 2000, 716, 600, 1162, 281, 513, 3811, 1650, 540, 15084, 4187, 2223, 4139, 4750, 540, 6481, 31814, 267, 2019, 269, 476, 24062, 267, 1100, 269, 476, 277, 268, 278, 267, 6032, 269, 476, 25134, 1700, 28766, 267, 476, 1001, 274, 563, 268, 590, 269, 645, 269, 2274, 11803, 267, 968, 26502, 18363, 593, 519, 1966, 540, 15084, 4187, 2223, 4750, 540, 4165, 574, 17853, 6314, 8839, 267, 2019, 269, 476, 5392, 267, 1100, 269, 476, 272, 267, 6032, 269, 476, 1839, 1700, 1789, 267, 476, 1220, 273, 563, 268, 589, 269, 20182, 267, 808, 269, 595, 269, 623, 2946, 30959, 5937, 6403, 1794, 267, 570, 269, 631, 269, 3213, 4302, 267, 674, 269, 13391, 638, 3266, 267, 543, 681, 269, 22616, 11252, 267, 968, 301, 16197, 582, 728, 5311, 543, 18572, 540, 513, 3209, 524, 1030, 582, 1314, 830, 31622, 26299, 4506, 16061, 2000, 716, 600, 848, 630, 6311, 311, 5336, 268, 1015, 264, 9678, 538, 8050, 2223, 4165, 574, 17853, 3397, 757, 543, 6314, 8839, 267, 2019, 269, 476, 3393, 267, 1100, 269, 476, 273, 267, 6032, 269, 476, 277, 1626, 1700, 30663, 267, 476, 1220, 272, 563, 268, 589, 269, 10127, 574, 267, 700, 269, 7313, 790, 331, 267, 590, 269, 18491, 541, 1690, 534, 267, 543, 623, 269, 20918, 10458, 267, 968, 5522, 11047, 573, 24975, 6905, 1606, 1051, 5300, 16061, 2000, 716, 600, 848, 630, 6311, 311, 5336, 268, 274, 899, 264, 689, 3127, 543, 5444, 7681, 609, 24450, 5311, 4959, 31319, 335, 272, 2223, 674, 32209, 31814, 16707, 267, 2019, 269, 476, 1001, 267, 1100, 269, 476, 273, 267, 6032, 269, 476, 26801, 1700, 25240, 267, 476, 1220, 272, 563, 268, 700, 269, 645, 269, 19676, 267, 590, 269, 670, 269, 12070, 2917, 267, 717, 269, 589, 269, 623, 3253, 545, 7637, 537, 1696, 620, 1421, 968, 11073, 19874, 540, 524, 14285, 1794, 573, 830, 4187, 3361, 676, 6905, 1606, 1051, 5300, 16061, 2000, 716, 600, 1162, 693, 513, 12590, 5312, 13282, 9744, 2223, 4165, 574, 17853, 3397, 757, 543, 6314, 8839, 267, 2019, 269, 476, 4097, 267, 1100, 269, 476, 1556, 267, 6032, 269, 476, 25546, 274, 1700, 25546, 280, 267, 476, 1960, 271, 563, 268, 595, 269, 667, 269, 19731, 731, 267, 667, 269, 28615, 267, 590, 269, 918, 269, 13535, 6975, 1696, 620, 1421, 968, 6781, 1006, 540, 20682, 547, 3713, 6932, 21734, 4187, 538, 562, 657, 665, 6706, 13596, 281, 513, 5619, 540, 5741, 15096, 22664, 20682, 2223, 26616, 31814, 543, 29956, 8376, 267, 2019, 269, 476, 4343, 267, 1100, 269, 476, 272, 267, 6032, 269, 476, 6795, 1700, 6858, 267, 476, 1220, 271, 563, 268, 681, 269, 1325, 3122, 331, 1495, 267, 645, 269, 14161, 26856, 267, 700, 269, 2983, 29992, 3780, 267, 590, 269, 670, 19508, 1375, 2006, 267, 543, 645, 269, 9986, 26856, 6441, 559, 329, 3225, 626, 267, 968, 11372, 2231, 9665, 11632, 311, 5336, 268, 1428, 11536, 13993, 26148, 18521, 615, 747, 807, 19546, 538, 7013, 13785, 281, 6609, 540, 606, 12176, 2223, 29956, 15302, 267, 2019, 269, 476, 6078, 267, 1100, 269, 476, 277, 268, 278, 267, 6032, 269, 476, 25148, 1700, 25870, 267, 476, 1220, 280, 563, 268, 631, 269, 674, 269, 966, 5451, 345, 4302, 345, 267, 808, 269, 700, 269, 16334, 10722, 9926, 13852, 18480, 267, 631, 269, 594, 269, 25661, 17144, 25661, 17144, 267, 543, 808, 269, 589, 269, 25661, 17144, 7304, 617, 337, 6403, 326, 22222, 267, 968, 21946, 3000, 7578, 4283, 3821, 1583, 990, 541, 9373, 527, 573, 529, 6721, 513, 570, 4932, 268, 7367, 16061, 2000, 716, 600, 848, 281, 1101, 1867, 538, 8050, 2223, 26616, 31814, 543, 29956, 8376, 267, 2019, 269, 476, 4649, 267, 1100, 269, 476, 274, 267, 6032, 269, 476, 25090, 268, 26727, 267, 476, 1220, 277, 563, 268, 700, 269, 623, 269, 11969, 718, 267, 595, 269, 1849, 719, 532, 267, 681, 269, 589, 269, 29088, 517, 1696, 620, 1421, 968, 7093, 28700, 540, 18521, 615, 747, 807, 19546, 8876, 6905, 1606, 1051, 5300, 16061, 2000, 716, 600, 1162, 630, 6311, 311, 5336, 543, 570, 4932, 268, 7367, 264, 689, 2156, 8814, 17944, 543, 2881, 12399, 538, 4279, 6628, 1063, 476, 1220, 277, 543, 476, 1220, 280, 2223, 4750, 540, 4165, 574, 17853, 6314, 8839, 267, 2019, 269, 476, 5780, 267, 1100, 269, 476, 272, 267, 9137, 9517, 546, 330, 336, 31256, 267, 6032, 269, 476, 10436, 1700, 4817, 267, 476, 1001, 272, 563, 268, 631, 269, 3131, 650, 328, 267, 645, 269, 21540, 520, 648, 267, 595, 269, 631, 1872, 3534, 2723, 328, 1696, 620, 1421, 968, 25324, 14571, 540, 570, 4932, 268, 7367, 20081, 4932, 268, 10844, 543, 15562, 309, 268, 1321, 6905, 1606, 1051, 5300, 16061, 2000, 716, 600, 1162, 538, 4791, 25904, 540, 4283, 27627, 576, 2801, 538, 7977, 2223, 19287, 658, 10684, 18650, 267, 2019, 269, 476, 1704, 267, 1100, 269, 476, 275, 267, 6032, 269, 476, 276, 2641, 1700, 276, 2190, 267, 476, 1001, 272, 563, 268, 623, 269, 674, 269, 26858, 543, 808, 269, 700, 25005, 6199, 267, 4165, 574, 17853, 18650, 281, 12983, 543, 18169, 267, 2817, 6298, 12562, 4964, 267, 476, 1960, 279, 563, 268, 590, 269, 645, 269, 2274, 11803, 267, 968, 12901, 756, 8438, 4187, 281, 4539, 540, 538, 9146, 2223, 11916, 29956, 15302, 267, 2019, 269, 476, 3451, 267, 7110, 476, 274, 267, 6032, 269, 590, 14862, 1700, 306, 15782, 267, 476, 1220, 272, 563, 268, 700, 269, 808, 739, 1231, 267, 590, 269, 681, 760, 651, 267, 681, 269, 918, 269, 1284, 619, 2742, 1696, 620, 1421, 968, 295, 739, 2173, 2222, 2041, 4205, 723, 8032, 519, 4719, 6189, 540, 12982, 15108, 2068, 2223, 538, 7186, 267, 2019, 269, 476, 5392, 272, 267, 6032, 269, 476, 15686, 1700, 14862, 267, 476, 15686, 268, 14862, 267, 476, 1001, 273, 563, 268, 681, 269, 22616, 11252, 267, 589, 269, 8734, 9820, 267, 589, 269, 4406, 591, 1372, 1696, 620, 1421, 968, 7093, 28700, 543, 3262, 540, 6905, 1606, 1051, 5300, 16061, 2000, 716, 600, 848, 26148, 9373, 27627, 576, 2801, 538, 2342, 2223, 11916, 31814, 543, 25124, 267, 2019, 269, 476, 1691, 267, 7110, 476, 272, 267, 6032, 269, 476, 13893, 1700, 14631, 267, 476, 1220, 279, 563, 268, 570, 269, 631, 269, 3213, 4302, 267, 26115, 269, 8734, 9820, 267, 589, 269, 2961, 3430, 10008, 1696, 620, 1421, 968, 11514, 20611, 540, 804, 517, 958, 1644, 18521, 615, 747, 807, 19546, 12490, 11589, 6905, 1606, 1051, 5300, 16061, 2000, 716, 600, 848, 11632, 311, 5336, 268, 1428, 2223, 24021, 29956, 15302, 267, 2019, 269, 476, 1691, 267, 1100, 269, 476, 273, 267, 6032, 269, 476, 4198, 1700, 1220, 267, 476, 1220, 279, 563, 268, 681, 269, 22616, 11252, 543, 570, 269, 631, 269, 3213, 4302, 267, 968, 763, 11632, 311, 5336, 16061, 2000, 716, 600, 848, 6855, 2223, 7351, 32722, 538, 31814, 267, 2019, 269, 476, 280, 267, 1100, 269, 476, 276, 267, 6032, 269, 476, 5379, 277, 1700, 275, 4037, 267, 476, 1220, 277, 563, 268, 631, 269, 670, 269, 631, 269, 1325, 5025, 326, 18081, 267, 631, 269, 590, 269, 661, 11607, 291, 269, 12891, 712, 267, 543, 594, 269, 654, 20672, 663, 267, 968, 5575, 6609, 540, 11632, 311, 5336, 16061, 2000, 716, 600, 848, 26148, 4791, 18521, 615, 747, 807, 19546, 25904, 689, 5527, 2223, 4139, 4750, 540, 4165, 574, 17853, 3397, 757, 267, 2019, 269, 476, 2767, 267, 1100, 269, 476, 277, 267, 6032, 269, 476, 276, 3393, 1700, 276, 4366, 267, 476, 1220, 277, 563, 268, 589, 269, 674, 269, 570, 1177, 325, 1731, 267, 589, 269, 631, 269, 1325, 1873, 320, 10308, 267, 589, 269, 631, 269, 1744, 7441, 267, 543, 631, 269, 670, 269, 631, 269, 1325, 5025, 326, 18081, 267, 968, 7093, 28700, 543, 4719, 4162, 540, 570, 4932, 267, 15562, 309, 267, 543, 11632, 311, 5336, 538, 4791, 21890, 2125, 328, 7578, 16415, 324, 25904, 689, 18142, 17936, 2223, 19287, 658, 10684, 18650, 267, 2019, 269, 476, 1704, 267, 1100, 269, 476, 274, 267, 6032, 269, 476, 4343, 274, 1700, 4343, 279, 267, 476, 1001, 272, 563, 268, 670, 269, 590, 269, 16679, 30138, 267, 918, 269, 631, 269, 645, 785, 599, 3534, 267, 589, 269, 595, 269, 7354, 758, 267, 543, 717, 269, 589, 269, 645, 27198, 267, 968, 15761, 2105, 8552, 12498, 2000, 716, 600, 1162, 630, 2464, 13993, 264, 538, 18521, 615, 747, 807, 19546, 543, 21890, 2125, 328, 7578, 16415, 324, 281, 3466, 538, 519, 6413, 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 ]
[ 1107, 6660, 785, 11261, 454, 306, 1051, 15066, 645, 753, 19441, 6345, 267, 6660, 785, 11261, 568, 513, 12021, 22459, 945, 814, 9787, 539, 519, 9759, 540, 4095, 2528, 998, 1010, 1148, 269, 19612, 607, 519, 2048, 309, 7398, 340, 657, 334, 685, 543, 513, 2048, 25111, 3751, 685, 585, 1010, 1799, 659, 3634, 645, 753, 19441, 268, 519, 4095, 19348, 1166, 1393, 267, 6660, 785, 568, 835, 540, 519, 9972, 2173, 739, 20785, 540, 1158, 1922, 13904, 645, 753, 19441, 10828, 1107, 17455, 527, 4498, 760, 6652, 611, 932, 4768, 14901, 563, 2304, 3048, 1807, 543, 513, 2757, 626, 267, 646, 814, 936, 476, 274, 267, 4335, 12644, 547, 1010, 5491, 543, 513, 5318, 1995, 540, 7900, 593, 1585, 5933, 585, 9867, 2450, 540, 5304, 6306, 689, 21882, 2575, 585, 1082, 8874, 543, 32026, 1519, 519, 3810, 2283, 1049, 4670, 267, 2048, 16449, 634, 5617, 773, 951, 17483, 3891, 814, 1044, 9930, 3990, 585, 1896, 17758, 267, 540, 799, 519, 1034, 7986, 3283, 616, 519, 661, 12613, 312, 338, 543, 16902, 7246, 269, 1261, 568, 513, 18579, 540, 20380, 12339, 2088, 4107, 5295, 995, 13815, 476, 1001, 280, 268, 1708, 271, 269, 6660, 785, 849, 568, 513, 18579, 540, 519, 1271, 8366, 9483, 8648, 2637, 8921, 13815, 476, 1708, 271, 269, 589, 1167, 2118, 540, 623, 339, 269, 31828, 527, 590, 2674, 267, 6660, 785, 814, 2094, 476, 2735, 280, 1044, 896, 519, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 289, 21036, 262, 328, 8061, 10899, 8535, 257, 607, 851, 540, 834, 300, 4785, 2975, 1315, 16241, 1315, 670, 2096, 985, 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, 7705, 281, 19850, 7585, 256, 594, 4862, 596, 4312, 1044, 1565, 827, 2351, 25086, 538, 1686, 1362, 269, 2334, 4992, 4277, 256, 2052, 596, 2995, 803, 1018, 621, 1797, 2496, 7692, 281, 17610, 267, 7705, 256, 2876, 9461, 2762, 568, 10416, 519, 1353, 540, 875, 1686, 568, 2854, 269, 898, 2882, 3168, 693, 1114, 5380, 267, 2959, 267, 543, 2409, 1031, 676, 12206, 547, 1174, 543, 2491, 2250, 2621, 780, 8334, 281, 7937, 267, 899, 950, 972, 616, 1114, 2984, 827, 1945, 602, 5949, 267, 543, 12206, 2119, 547, 4137, 856, 799, 835, 568, 1034, 4977, 2496, 7692, 281, 22549, 256, 1358, 849, 2015, 1946, 1978, 2984, 1522, 581, 5143, 8335, 267, 4470, 593, 945, 781, 10213, 873, 269, 1280, 1383, 267, 952, 2576, 729, 3238, 538, 606, 2680, 267, 789, 1522, 723, 513, 1360, 2123, 2070, 540, 1018, 5949, 269, 1809, 952, 513, 14787, 5654, 693, 6266, 540, 1114, 6589, 267, 1519, 1346, 689, 1004, 945, 14201, 1405, 2047, 3238, 267, 789, 666, 1205, 513, 2407, 518, 4605, 540, 519, 3510, 780, 8334, 281, 594, 1294, 269, 1924, 267, 621, 781, 2186, 540, 899, 8380, 1927, 4773, 540, 513, 11015, 547, 1174, 519, 2898, 1650, 2496, 7692, 281, 8786, 267, 4010, 256, 1656, 3006, 267, 12206, 1256, 991, 547, 946, 1455, 2631, 547, 948, 1118, 3664, 827, 1018, 2731, 5949, 269, 6145, 267, 952, 1945, 3085, 1405, 3100, 2693, 267, 610, 952, 972, 781, 20849, 2963, 267, 789, 723, 547, 1589, 5402, 827, 1018, 2306, 519, 1034, 2631, 780, 8334, 281, 20944, 621, 269, 2052, 596, 2285, 803, 606, 1383, 540, 875, 713, 1568, 538, 1483, 1272, 2496, 7692, 281, 17610, 269, 2913, 781, 2161, 596, 543, 594, 1312, 7198, 513, 1286, 8009, 269, 1284, 1522, 723, 5594, 1114, 8747, 540, 1018, 5949, 1317, 649, 4718, 621, 689, 1114, 7285, 269, 589, 14787, 4974, 713, 2680, 1131, 1413, 693, 938, 6589, 267, 2059, 609, 1022, 824, 2139, 1344, 267, 899, 7128, 5359, 610, 3354, 8254, 22089, 269, 1635, 9236, 782, 891, 2959, 543, 1210, 741, 1455, 2631, 267, 789, 1223, 2097, 909, 609, 513, 811, 2347, 543, 6325, 4528, 540, 519, 1650, 780, 8334, 281, 2334, 2306, 2631, 269, 1924, 267, 2351, 25086, 2337, 721, 1732, 1174, 519, 2250, 676, 6236, 2789, 2798, 540, 2070, 543, 1210, 2565, 3206, 1983, 780, 7692, 281, 8786, 267, 4010, 256, 1656, 1175, 899, 538, 938, 1286, 8009, 1383, 267, 12206, 1419, 4308, 609, 7294, 3871, 1141, 972, 781, 513, 2603, 540, 13509, 269, 1358, 991, 547, 946, 13865, 10881, 543, 15749, 8100, 547, 948, 4990, 3388, 856, 543, 1118, 5483, 3664, 827, 1018, 4440, 5949, 780, 8334, 281, 26272, 267, 594, 4769, 1405, 8275, 1686, 1223, 581, 865, 4241, 256, 8729, 585, 7713, 1277, 2762, 547, 803, 267, 7585, 269, 3767, 594, 1745, 899, 594, 723, 513, 1732, 9787, 540, 875, 12206, 960, 547, 10625, 519, 5168, 827, 519, 2250, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 7804, 269, 6424, 8125, 828, 9383, 836, 454, 763, 1382, 543, 2689, 4930, 538, 962, 611, 23849, 1335, 5525, 476, 4375, 281, 273, 2232, 2055, 540, 18144, 543, 6547, 540, 519, 1585, 2010, 540, 11051, 538, 519, 1744, 334, 1695, 269, 18623, 689, 5216, 2477, 1683, 513, 2647, 3099, 540, 4267, 543, 4030, 547, 519, 2055, 540, 8404, 267, 7589, 267, 6547, 267, 543, 1121, 27320, 269, 3245, 1507, 7142, 2000, 1987, 13122, 543, 2199, 16586, 267, 547, 10656, 21647, 543, 3084, 1235, 267, 547, 5101, 3864, 3523, 2209, 267, 547, 22649, 540, 968, 15124, 518, 5125, 892, 543, 519, 2669, 22415, 1127, 2282, 519, 1439, 540, 519, 2112, 267, 519, 18144, 540, 519, 10419, 21116, 543, 741, 4891, 941, 1082, 543, 1950, 269, 6684, 267, 519, 18144, 3297, 519, 2022, 8705, 1894, 1063, 1875, 11219, 28779, 11324, 340, 619, 540, 7642, 543, 741, 2144, 560, 6112, 10997, 941, 1419, 1950, 269, 1703, 814, 1044, 1454, 1382, 593, 519, 6547, 540, 7642, 547, 13303, 20655, 267, 2943, 1934, 649, 1459, 606, 2376, 602, 28420, 543, 23607, 1934, 1729, 1150, 10595, 4385, 4436, 6014, 6114, 547, 519, 13303, 12512, 779, 4507, 689, 513, 4195, 543, 9670, 5133, 269, 1452, 543, 811, 513, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 9303, 9461, 2762, 257, 607, 851, 540, 834, 19615, 1315, 13129, 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, 8080, 547, 519, 4241, 1158, 540, 2257, 267, 2029, 267, 543, 3318, 2533, 256, 901, 2361, 1522, 3280, 7294, 267, 855, 621, 781, 2965, 2407, 540, 3579, 2645, 543, 2553, 1031, 676, 1004, 945, 948, 1711, 1919, 899, 11955, 543, 824, 1271, 8631, 649, 946, 1169, 1554, 269, 2913, 781, 2263, 1079, 4277, 2127, 1369, 713, 2361, 1107, 835, 827, 3549, 3246, 2645, 543, 2533, 585, 519, 2067, 2472, 2872, 267, 543, 1776, 2519, 593, 513, 1808, 2754, 1572, 3397, 559, 550, 602, 2337, 22475, 798, 5863, 960, 780, 5575, 267, 1577, 781, 2911, 827, 4213, 5885, 519, 2067, 2472, 2872, 269, 5994, 596, 1265, 513, 1007, 2030, 538, 707, 18147, 602, 814, 6909, 7067, 3601, 269, 1677, 2490, 713, 883, 4915, 267, 3744, 991, 2027, 3937, 543, 1702, 269, 2334, 781, 1141, 891, 15813, 3549, 2097, 538, 256, 1358, 2709, 1114, 2010, 540, 2029, 543, 1983, 547, 948, 3744, 1449, 543, 1020, 782, 12204, 540, 2067, 2326, 9108, 543, 7561, 269, 1452, 1223, 581, 4152, 22475, 267, 15670, 540, 3621, 3457, 267, 610, 4966, 538, 6042, 945, 2327, 3388, 5205, 7453, 3652, 269, 898, 781, 2186, 540, 899, 2348, 22730, 630, 27023, 1235, 1070, 5820, 630, 11499, 2200, 1070, 543, 10051, 19269, 630, 974, 9592, 264, 4947, 1927, 547, 3434, 909, 1945, 9735, 630, 25924, 6393, 3086, 267, 1577, 781, 4685, 4514, 883, 835, 1880, 6345, 538, 713, 2230, 267, 3397, 559, 550, 16370, 269, 1411, 666, 1589, 540, 3397, 559, 550, 607, 513, 15705, 2978, 2427, 330, 1157, 1317, 789, 16491, 22475, 1472, 519, 8608, 609, 9058, 6191, 267, 5363, 7727, 267, 5100, 3301, 267, 543, 4274, 5583, 269, 2060, 741, 1489, 267, 3173, 616, 2111, 547, 1685, 28986, 3232, 910, 4466, 524, 999, 585, 3676, 267, 4180, 1426, 3106, 267, 7863, 519, 1604, 267, 543, 1454, 811, 2439, 2080, 616, 930, 1187, 5013, 827, 1018, 3397, 559, 550, 1281, 1384, 272, 269, 2878, 9743, 745, 906, 4995, 3807, 899, 875, 9845, 7048, 593, 10591, 899, 16835, 267, 11084, 267, 543, 31238, 267, 3744, 4096, 8185, 593, 7463, 2645, 1932, 269, 2311, 3397, 559, 550, 267, 789, 1374, 543, 1628, 1283, 27677, 577, 834, 514, 11584, 906, 2437, 799, 616, 10416, 4359, 8747, 540, 9145, 8554, 267, 10253, 267, 543, 8596, 1851, 1866, 269, 4635, 891, 9589, 3457, 267, 3173, 666, 1294, 6263, 3877, 15865, 547, 519, 21736, 3750, 267, 2268, 6878, 8308, 267, 543, 3713, 1256, 519, 13581, 652, 2242, 269, 9462, 498, 361, 27077, 357, 454, 273, 269, 2878, 306, 26236, 4995, 1879, 9140, 513, 1286, 267, 1131, 596, 4782, 952, 2576, 6026, 596, 875, 547, 5397, 286, 2986, 1576, 256, 6684, 267, 950, 1210, 1164, 24289, 2978, 3937, 267, 3478, 8036, 2306, 2324, 609, 873, 4443, 543, 811, 2500, 269, 3397, 559, 550, 3091, 2866, 7886, 2059, 609, 10380, 865, 3755, 917, 4010, 875, 547, 7500, 519, 12227, 543, 4612, 2164, 7157, 269, 1215, 16517, 568, 602, 26834, 9462, 502, 488, 454, 274, 269, 2878, 8256, 636, 1963, 4995, 3143, 267, 649, 5749, 1405, 6158, 827, 17705, 16152, 1934, 256, 3117, 636, 1963, 3277, 547, 3688, 2966, 585, 2582, 946, 1282, 6901, 269, 6056, 17309, 267, 10398, 8291, 4388, 267, 1449, 13740, 1862, 9767, 1205, 519, 2856, 269, 1635, 23478, 891, 30304, 267, 3397, 559, 550, 5849, 5347, 4238, 538, 5215, 540, 22475, 5001, 269, 9462, 356, 359, 6930, 495, 491, 454, 275, 269, 2878, 21104, 725, 4995, 17451, 1745, 4503, 3843, 856, 513, 1007, 3014, 813, 2394, 2542, 998, 5528, 286, 23893, 4422, 585, 1950, 3621, 2409, 256, 3397, 559, 550, 8843, 4808, 543, 1655, 2853, 585, 10647, 1585, 4255, 543, 9382, 269, 11374, 971, 5773, 18715, 4977, 4093, 543, 11151, 6959, 269, 9462, 504, 478, 27077, 483, 454, 276, 269, 2878, 2750, 13630, 1047, 4995, 14936, 267, 4952, 5275, 5796, 689, 4648, 4597, 532, 538, 741, 4610, 269, 16319, 3407, 267, 1318, 286, 4270, 267, 3397, 559, 550, 18271, 13085, 8186, 4712, 547, 4217, 7218, 8164, 2877, 269, 6787, 621, 781, 16208, 1239, 610, 6061, 6946, 2042, 267, 789, 3893, 519, 12058, 547, 4688, 519, 1554, 256, 9462, 356, 510, 6930, 502, 492, 692, 3383, 972, 596, 723, 621, 256, 3163, 267, 2029, 267, 543, 3318, 2533, 1404, 2629, 5107, 3297, 1082, 23484, 30364, 2486, 269, 3245, 4543, 1184, 2067, 2200, 547, 16779, 1382, 5238, 267, 891, 6080, 3337, 938, 2104, 9797, 269, 1656, 3314, 267, 1985, 942, 596, 5873, 1913, 899, 1412, 338, 1051, 668, 4394, 10086, 1412, 5632, 12299, 10086, 610, 1412, 817, 904, 3299, 1810, 1405, 31361, 256, 5502, 267, 14952, 693, 519, 13300, 789, 3142, 547, 1483, 3734, 7653, 269, 8414, 3695, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 16631, 267, 5303, 1299, 12333, 7896, 15376, 568, 1930, 547, 10763, 20682, 267, 10763, 6293, 9755, 543, 1644, 2029, 7426, 1765, 1260, 3966, 625, 602, 1683, 513, 3309, 2039, 540, 4066, 543, 6791, 547, 519, 2067, 2472, 2872, 563, 8698, 6167, 5183, 15445, 16840, 454, 8698, 6167, 5183, 631, 5495, 16890, 454, 21511, 8028, 294, 6828, 568, 519, 1152, 18261, 538, 519, 1158, 5356, 7471, 5663, 3435, 585, 519, 14453, 2872, 269, 3776, 3309, 1587, 2039, 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 ]
[ 1007, 3435, 602, 1810, 1406, 723, 547, 2736, 519, 4871, 269, 1548, 596, 1265, 568, 1945, 1572, 31923, 8831, 619, 543, 1379, 1467, 740, 9532, 269, 1548, 779, 519, 3017, 543, 950, 1058, 789, 581, 1031, 596, 4898, 563, 310, 790, 1652, 5121, 616, 4742, 811, 2442, 676, 519, 8792, 269, 4653, 267, 1034, 1004, 1810, 1406, 1256, 946, 29040, 4296, 15042, 543, 1946, 1058, 789, 286, 1358, 723, 741, 24195, 267, 741, 19503, 6758, 267, 543, 741, 11436, 267, 782, 1921, 547, 519, 12616, 3060, 269, 0, 26045, 1072, 538, 6689, 1797, 8757, 11095, 543, 3929, 19325, 267, 543, 1565, 2635, 1514, 1983, 543, 875, 547, 11883, 950, 972, 616, 2042, 269, 22895, 958, 2635, 1453, 723, 513, 2318, 2298, 540, 1272, 543, 666, 1599, 1134, 693, 1753, 267, 538, 1153, 267, 543, 538, 741, 2950, 269, 3367, 811, 20064, 4910, 1545, 22105, 3022, 2060, 281, 538, 3430, 1549, 454, 2691, 741, 1126, 568, 8995, 609, 11838, 267, 3237, 1419, 723, 4145, 827, 14045, 519, 1655, 1259, 547, 948, 741, 1126, 269, 898, 568, 1271, 585, 3237, 547, 3314, 602, 11838, 666, 581, 6707, 7307, 269, 1703, 616, 1082, 2126, 3681, 267, 865, 3237, 1058, 960, 5702, 609, 3025, 3238, 538, 519, 1126, 779, 1272, 1765, 8234, 3249, 7426, 267, 16293, 267, 3610, 267, 19393, 267, 543, 824, 1920, 2818, 269, 14171, 5413, 540, 782, 519, 2200, 2139, 786, 948, 3237, 3391, 741, 1126, 2509, 1967, 269, 3367, 811, 20064, 13356, 4575, 952, 513, 1126, 814, 11838, 568, 513, 1184, 609, 1896, 3268, 269, 1703, 568, 1100, 2582, 1449, 547, 13209, 11838, 267, 543, 1082, 824, 2042, 267, 899, 4160, 267, 4965, 267, 3207, 2042, 267, 543, 1978, 2010, 540, 1565, 9124, 267, 666, 723, 2147, 2589, 563, 25898, 596, 899, 547, 1451, 811, 286, 1411, 4076, 2097, 547, 519, 1318, 1747, 2336, 31995, 909, 609, 11838, 814, 1044, 513, 3552, 3460, 256, 22067, 543, 581, 6273, 676, 6217, 827, 519, 2189, 2081, 596, 666, 1039, 1871, 1317, 540, 707, 11838, 1700, 5976, 707, 2828, 267, 1920, 267, 960, 267, 1153, 267, 2146, 543, 519, 1158, 269, 9861, 8995, 538, 10026, 1153, 609, 11838, 543, 17391, 4393, 2152, 666, 1118, 3344, 540, 1272, 4101, 269, 670, 792, 689, 1459, 518, 17664, 10753, 1993, 13118, 992, 827, 875, 20408, 771, 32360, 267, 3668, 540, 942, 2359, 267, 7411, 609, 3922, 1436, 267, 543, 7340, 6888, 814, 17275, 513, 4557, 13369, 543, 16608, 547, 8011, 269, 6258, 1655, 2853, 585, 14762, 543, 4687, 707, 9342, 593, 707, 3460, 609, 11838, 256, 3367, 811, 20064, 10955, 3725, 341, 5890, 334, 476, 1001, 280, 22544, 281, 570, 5446, 7913, 5940, 10330, 1765, 307, 8962, 1299, 11150, 547, 5901, 4841, 593, 17130, 2755, 593, 15306, 1496, 335, 19948, 2639, 2690, 1053, 609, 3007, 543, 10324, 8647, 2591, 267, 2029, 666, 581, 1312, 513, 26460, 543, 513, 31169, 269, 634, 24195, 267, 5985, 3457, 267, 543, 2228, 1569, 602, 948, 609, 1153, 1740, 616, 1419, 513, 2707, 540, 11995, 30411, 267, 3056, 547, 1055, 2389, 2532, 2623, 543, 4057, 2773, 269, 32264, 670, 13273, 6799, 5697, 20848, 267, 3156, 267, 543, 2228, 2533, 602, 2569, 3308, 804, 13616, 543, 5351, 1445, 267, 6615, 1569, 547, 16297, 532, 8924, 543, 7270, 693, 5697, 2053, 267, 543, 6895, 3926, 6165, 543, 2333, 4656, 540, 30411, 12153, 269, 3367, 811, 20064, 10955, 3725, 341, 5890, 334, 476, 1001, 280, 20128, 2775, 29140, 281, 667, 5744, 6056, 619, 538, 519, 476, 2641, 560, 11416, 281, 1133, 24286, 15783, 998, 4197, 1215, 4658, 6258, 1496, 335, 19948, 2639, 2171, 616, 693, 513, 3444, 30030, 538, 938, 1620, 540, 2043, 945, 616, 10995, 2943, 6560, 609, 31764, 4255, 267, 2542, 8223, 267, 2324, 3965, 543, 10324, 8647, 269, 12832, 1961, 2986, 625, 327, 267, 12854, 267, 513, 5042, 8965, 10196, 543, 519, 10615, 540, 519, 5576, 342, 629, 4804, 4741, 693, 18628, 2160, 267, 6941, 602, 18997, 938, 1453, 609, 27577, 543, 11838, 827, 875, 1004, 1451, 568, 1883, 547, 30196, 519, 1761, 540, 741, 9342, 538, 519, 3068, 540, 4081, 2591, 269, 3367, 811, 20064, 10955, 3725, 341, 5890, 334, 476, 1001, 280, 22544, 281, 5253, 1306, 6925, 1765, 763, 5295, 540, 12594, 585, 19630, 1944, 9650, 543, 28239, 1496, 335, 19948, 2639, 288, 3395, 1560, 540, 3621, 1382, 568, 11744, 513, 4276, 1063, 2732, 543, 1455, 6689, 1072, 2175, 971, 607, 4160, 267, 4965, 267, 1565, 543, 3007, 2152, 269, 15845, 5267, 602, 519, 4616, 540, 8770, 3638, 3536, 666, 3565, 547, 6099, 6211, 1599, 693, 519, 10408, 543, 23020, 1377, 540, 606, 1367, 269, 3367, 811, 20064, 29261, 540, 1453, 609, 11838, 1451, 513, 3099, 540, 4052, 2994, 547, 948, 4383, 741, 1453, 779, 2623, 267, 543, 267, 811, 11932, 267, 547, 948, 7668, 741, 1453, 547, 4383, 741, 1378, 2589, 269, 10558, 619, 2549, 7701, 918, 1722, 1663, 330, 267, 12854, 267, 570, 1066, 3534, 27659, 743, 858, 324, 267, 11022, 267, 2441, 344, 570, 611, 4592, 267, 700, 303, 6717, 267, 1865, 5355, 2792, 543, 2810, 10220, 267, 9591, 13467, 267, 11264, 6780, 6707, 267, 543, 2679, 6015, 269, 3367, 811, 20064, 305, 639, 8688, 589, 269, 31661, 2917, 267, 1912, 6185, 1421, 568, 513, 4791, 7548, 540, 2618, 17226, 693, 519, 9098, 9615, 4741, 585, 5753, 543, 9098, 20448, 2160, 6481, 4741, 267, 29430, 267, 9098, 269, 589, 4759, 540, 5084, 291, 3363, 779, 11838, 28154, 19937, 267, 3220, 269, 31661, 2917, 814, 3370, 476, 2537, 2835, 267, 12773, 10253, 267, 543, 4791, 8261, 338, 267, 543, 646, 568, 519, 13653, 543, 9375, 540, 519, 536, 30266, 628, 569, 4791, 20394, 267, 634, 11838, 7797, 269, 3367, 811, 15955, 0, 23873, 9218, 8847, 585, 544, 4768, 823, 1750, 1998, 1512, 630, 272, 540, 476, 273, 994, 268, 513, 15841, 17199, 610, 27585, 267, 17611, 513, 4108, 20017, 564, 454, 268, 519, 9803, 2140, 540, 7584, 538, 519, 2025, 3943, 28665, 454, 17504, 18882, 585, 1750, 1998, 1512, 454, 23873, 9218, 8847, 585, 544, 4768, 823, 1750, 1998, 1512, 630, 273, 540, 476, 273, 994, 17504, 18882, 543, 3778, 585, 544, 4768, 823, 1750, 1998, 1512, 454, 17218, 476, 1724, 322, 1421, 17454, 6363, 3402, 669, 2526, 518, 834, 25236, 539, 27585, 2437, 6196, 3943, 1750, 1998, 1512, 834, 330, 9519, 267, 7504, 2006, 267, 27585, 538, 21802, 257, 630, 1321, 322, 1421, 7073, 3943, 1750, 1998, 518, 1070, 689, 17623, 5824, 9348, 718, 23581, 834, 1817, 572, 2006, 257, 630, 25899, 540, 1160, 1597, 9809, 531, 8883, 718, 1512, 267, 5053, 9348, 718, 3266, 267, 14082, 8883, 4150, 10098, 267, 7969, 8883, 8932, 699, 282, 1294, 27806, 1512, 630, 333, 4700, 1040, 634, 2262, 19497, 729, 28571, 643, 1242, 267, 855, 814, 1044, 2016, 513, 3943, 12332, 2094, 476, 1626, 322, 269, 0, 28723, 10395, 755, 542, 7869, 543, 21290, 4989, 476, 279, 267, 476, 1001, 272, 269, 5843, 6588, 6143, 667, 549, 921, 339, 10395, 755, 542, 281, 6611, 15369, 31401, 543, 26346, 31592, 21290, 269, 20900, 808, 269, 16205, 515, 572, 267, 1912, 6185, 269, 21133, 7905, 1546, 696, 269, 540, 20996, 7177, 12548, 3557, 2160, 269, 11137, 454, 12606, 8889, 281, 12474, 593, 519, 19534, 568, 3177, 547, 596, 6789, 4959, 585, 707, 1344, 543, 2123, 946, 543, 949, 711, 581, 4421, 1315, 13931, 1315, 3838, 593, 824, 7270, 1510, 3478, 9844, 689, 922, 2278, 269, 4407, 23842, 267, 952, 585, 930, 2601, 596, 616, 711, 2111, 547, 4647, 513, 6881, 267, 519, 17404, 949, 723, 25216, 519, 3758, 689, 741, 7746, 563, 28723, 10395, 755, 542, 7869, 543, 21290, 4989, 476, 279, 267, 476, 1001, 272, 5843, 6588, 6143, 667, 549, 921, 339, 10395, 755, 542, 281, 6611, 15369, 31401, 543, 26346, 31592, 21290, 20900, 808, 269, 16205, 515, 572, 267, 1912, 6185, 269, 21133, 7905, 1546, 696, 269, 540, 20996, 7177, 12548, 3557, 2160, 454, 29619, 5843, 6588, 6143, 10395, 755, 542, 543, 14333, 18734, 3040, 4208, 1353, 5277, 4492, 13674, 286, 3040, 4208, 1353, 5277, 4492, 13674, 538, 2890, 6588, 6143, 286, 3040, 1975, 615, 1227, 21136, 267, 942, 17466, 10230, 9781, 3040, 16140, 1759, 2890, 6588, 6143, 6901, 3040, 476, 273, 269, 273, 2034, 6749, 13486, 3040, 476, 276, 2034, 20023, 32322, 11120, 1006, 3040, 6611, 1759, 2890, 6588, 6143, 6901, 3040, 674, 16256, 290, 268, 272, 267, 667, 4753, 543, 674, 16256, 290, 268, 273, 3040, 8033, 5224, 3194, 3040, 5843, 6588, 6143, 18723, 3262, 998, 30305, 3154, 23399, 3040, 5843, 6588, 6143, 14495, 3002, 4483, 454, 3963, 616, 649, 1869, 4974, 8093, 4492, 13674, 286, 3040, 4039, 6636, 593, 8093, 10173, 5170, 1862, 3040, 476, 5952, 260, 540, 782, 1648, 10057, 538, 519, 772, 2529, 269, 568, 6508, 689, 519, 13674, 540, 8093, 10173, 269, 3040, 476, 4375, 260, 540, 782, 1648, 10057, 538, 519, 772, 2529, 269, 568, 6508, 689, 519, 13674, 540, 5277, 8093, 10173, 269, 3040, 476, 9032, 260, 540, 782, 1648, 10057, 538, 519, 6283, 5823, 568, 6508, 689, 519, 13674, 540, 5277, 8093, 10173, 269, 3040, 11531, 267, 5434, 4441, 3136, 547, 9395, 523, 2507, 3040, 4993, 12971, 343, 11621, 585, 13937, 13238, 14617, 265, 3040, 1769, 10279, 6472, 281, 3040, 476, 3192, 272, 476, 275, 269, 271, 575, 8276, 850, 3040, 476, 1960, 274, 476, 271, 269, 275, 575, 8276, 850, 3040, 476, 1220, 274, 476, 271, 269, 273, 575, 8276, 850, 3040, 2608, 8074, 281, 667, 19342, 14617, 1769, 1673, 14280, 6472, 1100, 3476, 585, 9042, 538, 4993, 563, 3963, 616, 649, 1869, 4974, 8093, 4492, 13674, 286, 15043, 4977, 3631, 540, 519, 13674, 1184, 568, 519, 1883, 547, 8888, 811, 3608, 267, 15777, 8781, 9817, 1862, 3040, 634, 2168, 9259, 9648, 538, 606, 4835, 13674, 2599, 2882, 281, 3040, 11517, 1436, 267, 3040, 2527, 4483, 267, 3040, 3002, 4483, 267, 3040, 24360, 5714, 11707, 267, 543, 3040, 1950, 3114, 737, 27282, 630, 349, 476, 1911, 2249, 1040, 3040, 634, 1966, 568, 1614, 21021, 543, 942, 17466, 2507, 663, 7543, 547, 4194, 609, 1256, 519, 1034, 3532, 5904, 2336, 1432, 8093, 4492, 13674, 1966, 666, 649, 4194, 286, 634, 838, 615, 1227, 21136, 13674, 540, 513, 2582, 5277, 17366, 339, 538, 606, 12808, 12444, 1944, 5420, 666, 581, 12193, 6746, 1227, 538, 2407, 1469, 281, 678, 11638, 16327, 9426, 5277, 4492, 17366, 339, 4469, 877, 562, 4211, 278, 295, 1626, 595, 273, 295, 276, 8863, 274, 595, 279, 295, 1240, 670, 27846, 744, 273, 3040, 7464, 11517, 15828, 18612, 11466, 267, 3040, 3818, 16327, 9426, 3154, 25686, 3560, 267, 3040, 5277, 25686, 3002, 543, 2527, 3560, 267, 3040, 10237, 894, 3002, 4483, 267, 3040, 2143, 3154, 25686, 7998, 630, 349, 1911, 2249, 1070, 3040, 942, 17466, 563, 8967, 615, 1227, 6641, 13240, 667, 549, 921, 339, 10395, 755, 542, 1635, 2870, 543, 5337, 1746, 513, 2582, 5277, 17366, 339, 538, 2890, 6588, 6143, 621, 568, 2009, 547, 3035, 838, 615, 1227, 21136, 13674, 3267, 678, 476, 272, 575, 476, 1015, 268, 277, 575, 3267, 1993, 20256, 1804, 2614, 547, 11863, 4977, 26278, 2079, 269, 634, 8097, 2164, 616, 3379, 2047, 609, 2143, 10230, 9781, 563, 11742, 5937, 8817, 267, 1975, 615, 1227, 6641, 13240, 267, 4437, 16327, 9426, 667, 549, 921, 339, 10395, 755, 542, 7844, 630, 2419, 334, 267, 1696, 620, 1421, 476, 1960, 273, 282, 16205, 515, 572, 543, 16959, 518, 267, 476, 1960, 277, 264, 3040, 13937, 18001, 281, 3040, 5564, 545, 20234, 9426, 7636, 18236, 3040, 13216, 3114, 737, 27282, 3040, 630, 324, 3052, 269, 476, 2004, 2249, 267, 476, 7742, 6547, 264, 3040, 6348, 2000, 6058, 748, 8143, 5982, 3040, 11158, 18723, 12998, 7136, 11094, 281, 15661, 12307, 281, 6052, 11094, 281, 3040, 667, 549, 921, 339, 17183, 281, 3040, 17183, 9695, 3040, 5345, 777, 2610, 540, 4492, 3040, 9473, 18730, 540, 2472, 3040, 7101, 14306, 3002, 1840, 4880, 7101, 14306, 14333, 12071, 343, 667, 549, 921, 339, 25181, 912, 294, 553, 18001, 11906, 20943, 2045, 11115, 1143, 715, 25575, 330, 2033, 667, 549, 921, 339, 10395, 755, 542, 3040, 17644, 281, 3040, 2637, 4733, 1449, 5119, 267, 543, 5659, 2164, 540, 667, 4753, 562, 13463, 696, 2033, 6901, 1210, 2143, 267, 23644, 10230, 2203, 269, 3040, 1401, 12371, 11906, 20943, 2045, 31469, 281, 3040, 18320, 1804, 281, 3040, 932, 752, 597, 630, 1960, 273, 264, 910, 476, 7761, 2249, 3040, 14811, 23264, 339, 630, 1960, 276, 264, 910, 476, 11820, 2249, 3040, 610, 1932, 12170, 281, 3040, 2782, 333, 28739, 630 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4351, 692, 2745, 3488, 734, 262, 265, 2412, 994, 2745, 3488, 14707, 924, 19804, 27089, 281, 1422, 333, 7055, 8587, 1412, 272, 910, 16677, 571, 14826, 7055, 8587, 1412, 273, 910, 14466, 601, 14826, 7055, 8587, 1412, 274, 910, 18806, 2227, 5073, 2745, 3488, 734, 262, 265, 2412, 994, 11133, 3266, 27165, 815, 703, 9272, 3488, 292, 2675, 565, 3873, 513, 1566, 322, 7776, 1035, 9874, 281, 1412, 11723, 604, 1003, 3266, 27165, 3436, 476, 271, 543, 1003, 3266, 27165, 2999, 476, 275, 1384, 825, 952, 1003, 3266, 27165, 2652, 476, 272, 912, 1038, 1003, 3266, 27165, 815, 1412, 303, 539, 571, 7055, 825, 8640, 1003, 3266, 27165, 2652, 476, 273, 912, 1038, 1003, 3266, 27165, 815, 1412, 303, 19125, 7055, 825, 8640, 1003, 3266, 27165, 2652, 476, 274, 912, 1038, 1003, 3266, 27165, 815, 1412, 307, 525, 2227, 262, 7531, 825, 1003, 3266, 15425, 815, 4351, 27110, 263, 272, 267, 274, 2020, 692, 825, 952, 1003, 3266, 15425, 2652, 476, 272, 912, 1038, 1003, 3266, 15425, 815, 262, 303, 539, 571, 7055, 825, 8640, 1003, 3266, 15425, 2652, 476, 273, 912, 1038, 1003, 3266, 15425, 815, 1412, 303, 19125, 7055, 825, 8640, 1003, 3266, 15425, 2652, 476, 274, 912, 1038, 1003, 3266, 15425, 815, 1412, 307, 525, 2227, 7055, 825, 1820, 3488, 734, 262, 265, 2412, 994, 825, 1820, 3488, 309, 334, 576, 1965, 3712, 515, 340, 15079, 552, 522, 1939, 11456, 1965, 3712, 515, 340, 15079, 8339, 8971, 16325, 3266, 27165, 267, 1003, 3266, 15425, 4917, 825, 1820, 3488, 734, 262, 265, 2412, 2020, 825, 952, 1003, 3266, 27165, 2652, 1412, 303, 539, 571, 262, 543, 1003, 3266, 15425, 2652, 1412, 307, 525, 2227, 12466, 1038, 1820, 3488, 309, 334, 576, 575, 534, 17924, 5073, 825, 8640, 1003, 3266, 27165, 2652, 1412, 307, 525, 2227, 262, 543, 1003, 3266, 15425, 2652, 1412, 303, 19125, 12466, 1038, 1820, 3488, 309, 334, 576, 575, 534, 17924, 5073, 825, 8640, 1003, 3266, 27165, 2652, 1412, 303, 19125, 262, 543, 1003, 3266, 15425, 2652, 1412, 303, 539, 571, 12466, 1038, 1820, 3488, 309, 334, 576, 575, 534, 17924, 17210, 825, 8640, 1003, 3266, 15425, 2652, 1412, 303, 539, 571, 262, 543, 1003, 3266, 27165, 2652, 1412, 307, 525, 2227, 12466, 1038, 1820, 3488, 15425, 575, 534, 17924, 5073, 825, 8640, 1003, 3266, 15425, 2652, 1412, 307, 525, 2227, 262, 543, 1003, 3266, 27165, 2652, 1412, 303, 19125, 12466, 1038, 1820, 3488, 15425, 575, 534, 17924, 5073, 825, 8640, 1003, 3266, 15425, 2652, 1412, 303, 19125, 262, 543, 1003, 3266, 27165, 2652, 1412, 303, 539, 571, 12466, 1038, 1820, 3488, 15425, 575, 534, 17924, 17210, 825, 8640, 1003, 3266, 27165, 2652, 1412, 303, 539, 571, 262, 543, 1003, 3266, 15425, 2652, 1412, 303, 539, 571, 12466, 1038, 1820, 3488, 295, 537, 557, 19804, 3227, 622, 5073, 825, 8640, 1003, 3266, 27165, 2652, 1412, 307, 525, 2227, 262, 543, 1003, 3266, 15425, 2652, 1412, 307, 525, 2227, 12466, 1038, 1820, 3488, 295, 537, 557, 19804, 3227, 622, 5073, 825, 8640, 1003, 3266, 27165, 2652, 1412, 303, 19125, 262, 543, 1003, 3266, 15425, 2652, 1412, 303, 19125, 12466, 1038, 1820, 3488, 295, 537, 557, 19804, 3227, 622, 17210, 12828, 912, 825, 1820, 3488, 292, 2675, 565, 3873, 579, 2742, 1566, 322, 7776, 632, 476, 272, 513, 476, 274, 9538, 2020, 692, 0, 5814, 4351, 454, 339, 550, 520, 643, 553, 815, 476, 271, 454, 11133, 3266, 815, 476, 271, 454, 11133, 15425, 815, 476, 272, 692, 6112, 1003, 3266, 11203, 1003, 15425, 912, 825, 1003, 3266, 815, 703, 9272, 3488, 14707, 924, 19804, 1003, 3266, 281, 1412, 4917, 825, 1003, 15425, 815, 4351, 27110, 263, 271, 267, 476, 1015, 994, 825, 17895, 520, 643, 553, 815, 17895, 520, 643, 553, 1341, 476, 272, 454, 825, 1820, 3488, 955, 262, 265, 1015, 994, 825, 1820, 3488, 292, 340, 1965, 3712, 6062, 15079, 8339, 8971, 16325, 15425, 4917, 2745, 3488, 299, 5271, 537, 15079, 17895, 520, 643, 553, 9299, 21350, 576, 740, 643, 514, 9618, 256, 8339, 8971, 6025, 550, 520, 643, 553, 11723, 0, 3698, 535, 747, 320, 3799, 727, 8782, 3299, 575, 565, 284, 5257, 2187, 825, 952, 562, 727, 2652, 1412, 12466, 1038, 562, 727, 815, 1412, 283, 9188, 935, 515, 322, 18480, 285, 7055, 825, 952, 575, 565, 18994, 333, 10179, 545, 10031, 1038, 575, 565, 815, 703, 14116, 565, 994, 825, 3116, 912, 1038, 575, 565, 815, 476, 271, 454, 825, 2132, 1412, 302, 15079, 905, 345, 15079, 575, 11169, 1100, 4342, 701, 517, 6737, 8339, 8971, 3799, 727, 267, 575, 565, 994, 333, 727, 815, 1193, 9272, 3488, 14707, 924, 522, 562, 727, 281, 1412, 4917, 326, 565, 815, 1193, 9272, 3488, 14707, 924, 522, 575, 565, 281, 1412, 4917, 2745, 6600, 747, 320, 3799, 727, 267, 575, 565, 11723, 7531, 0, 11133, 3266, 815, 703, 9272, 3488, 14707, 924, 19804, 1003, 3266, 703, 324, 10098, 281, 1412, 11723, 641, 322, 7776, 815, 3403, 263, 3488, 22209, 754, 328, 256, 21350, 576, 6446, 2981, 541, 1965, 572, 1003, 3266, 16948, 6446, 3490, 286, 476, 272, 910, 23642, 9222, 282, 476, 273, 910, 12354, 531, 552, 476, 274, 910, 15279, 1228, 31565, 281, 1412, 11723, 604, 1566, 322, 7776, 2652, 1412, 272, 12466, 825, 10822, 9222, 815, 10822, 16325, 3266, 25011, 273, 281, 4940, 345, 15640, 263, 1015, 994, 825, 1820, 6357, 514, 9222, 2020, 19197, 1566, 322, 7776, 2652, 1412, 273, 12466, 825, 12354, 531, 815, 12354, 16325, 3266, 994, 825, 1820, 263, 24934, 531, 9239, 19197, 1566, 322, 7776, 2652, 1412, 274, 12466, 825, 15279, 320, 815, 15279, 16325, 3266, 994, 825, 1820, 263, 28411, 320, 2020, 12828, 912, 825, 1820, 3488, 14707, 924, 19804, 1003, 3266, 1303, 516, 476, 272, 552, 476, 274, 10807, 0, 3698, 682, 328, 5593, 10031, 825, 1247, 6936, 912, 1038, 2119, 912, 2018, 6746, 2002, 815, 703, 9272, 3488, 14707, 924, 19804, 1003, 3266, 703, 324, 10098, 281, 1412, 4917, 1038, 4849, 630, 19368, 13286, 2187, 2018, 1820, 3488, 19617, 3266, 703, 324, 10098, 1045, 531, 18480, 269, 6226, 924, 19804, 1003, 3266, 703, 324, 10098, 5073, 1038, 4849, 630, 7659, 4580, 11328, 4533, 2187, 2018, 1820, 28361, 333, 302, 721, 340, 9222, 1232, 21355, 340, 562, 7776, 1202, 518, 597, 1965, 572, 1003, 3266, 269, 5073, 2018, 6746, 2002, 815, 476, 271, 454, 2018, 2132, 476, 271, 454, 1038, 3116, 912, 2018, 2132, 6746, 2002, 454, 2018, 2736, 7531, 3698, 682, 807, 15615, 10031, 825, 1247, 6936, 912, 1038, 2119, 912, 2018, 6746, 1993, 5979, 815, 10581, 9272, 3488, 14707, 924, 19804, 1003, 3266, 1483, 281, 1412, 4917, 1038, 4849, 630, 19368, 13286, 2187, 2018, 1820, 3488, 19617, 3266, 1483, 1045, 531, 18480, 269, 6226, 924, 19804, 27089, 1483, 4570, 334, 269, 5073, 1038, 4849, 630, 7659, 4580, 11328, 4533, 2187, 2018, 1820, 3488, 302, 721, 340, 9222, 1232, 21355, 340, 562, 7776, 1202, 518, 597, 1965, 572, 1003, 3266, 269, 5073, 2018, 6746, 1993, 5979, 815, 476, 271, 454, 2018, 2132, 476, 271, 454, 1038, 3116, 912, 2018, 2132, 6746, 1993, 5979, 454, 2018, 2736, 7531, 2745, 3488, 334, 1003, 3266, 703, 324, 10098, 20527, 15079, 552, 522, 1483, 20527, 15079, 8339, 8971, 263, 548, 328, 5593, 19572, 682, 807, 15615, 3890, 4917, 0, 3698, 6049, 263, 1262, 11907, 2187, 453, 12248, 815, 476, 271, 454, 22610, 2012, 267, 2869, 576, 538, 1239, 29096, 10031, 453, 453, 992, 815, 834, 346, 281, 736, 2410, 281, 1015, 348, 257, 1547, 8971, 28442, 267, 2869, 576, 994, 453, 13537, 21405, 994, 453, 453, 12248, 815, 1293, 1341, 19266, 576, 454, 16596, 1293, 454, 339, 815, 6049, 263, 760, 815, 476, 1911, 876, 267, 562, 758, 807, 815, 476, 1220, 876, 267, 521, 4461, 2426, 815, 476, 4968, 876, 267, 11465, 815, 476, 12010, 876, 994, 2745, 2891, 268, 257, 265, 1789, 994, 2745, 2891, 346, 281, 736, 2410, 281, 1015, 348, 257, 1547, 8971, 3488, 307, 784, 3299, 512, 4297, 0, 3698, 5493, 30308, 318, 11279, 16615, 4433, 2187, 825, 5727, 28415, 519, 3014, 8170, 1320, 14772, 1599, 2630, 547, 3313, 2436, 513, 2016, 5569, 666, 581, 22198, 6548, 883, 513, 5493, 30308, 269, 3097, 825, 1403, 621, 568, 2009, 267, 2132, 962, 2464, 267, 6382, 2132, 12971, 780, 825, 18452, 14474, 912, 825, 589, 2582, 1899, 799, 3568, 2073, 519, 3403, 5569, 780, 825, 19243, 14474, 912, 825, 589, 2582, 1899, 799, 3568, 962, 2464, 610, 12971, 780, 825, 21188, 5493, 30308, 318, 11279, 16615, 3488, 12711, 629, 6277, 321, 5073, 825, 1412, 8133, 7055, 825, 21188, 5493, 30308, 318, 11279, 16615, 3488, 322, 3698, 724, 19282, 641, 336, 337, 560, 12320, 342, 5073, 825, 1412, 5591, 7055, 825, 21188, 5493, 30308, 318, 11279, 16615, 3488, 7251, 7251, 7251, 322, 1372, 2465, 1030, 5073, 825, 1412, 8133, 7055, 825, 8173, 825, 521, 6831, 660, 815, 2715, 322, 281, 476, 271, 585, 524, 538, 1305, 4433, 264, 8679, 825, 814, 5334, 17532, 815, 8771, 692, 825, 585, 524, 538, 521, 912, 1038, 521, 6831, 660, 314, 322, 316, 6834, 476, 272, 22562, 825, 585, 524, 538, 521, 6831, 660, 912, 1038, 952, 521, 6831, 660, 314, 322, 316, 4939, 476, 273, 2652, 476, 272, 912, 2018, 952, 814, 5334, 17532, 912, 3546, 2132, 1412, 5591, 7055, 2018, 3116, 912, 3546, 814, 5334, 17532, 815, 6936, 22562, 825, 2132, 1412, 8133, 28847, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1104, 11705, 652, 454, 825, 11705, 652, 6745, 652, 7116, 3890, 0, 258, 256, 1315, 23591, 24800, 19841, 341, 9226, 7531, 3698, 1820, 318, 3316, 1676, 318, 1467, 263, 3316, 1676, 22561, 267, 8700, 284, 3199, 267, 1665, 6889, 268, 257, 2187, 825, 8173, 825, 7179, 513, 7333, 1676, 899, 1412, 258, 1366, 9339, 268, 29332, 302, 28612, 9339, 268, 262, 547, 31901, 719, 780, 825, 634, 9059, 1297, 476, 274, 6589, 585, 513, 1412, 258, 262, 6619, 540, 519, 7333, 1676, 543, 1079, 5624, 454, 825, 28277, 519, 7333, 1676, 1257, 780, 825, 2433, 12407, 7333, 1676, 281, 5569, 267, 3844, 1257, 538, 519, 7333, 1676, 454, 825, 2433, 12407, 8700, 281, 8870, 267, 2698, 8700, 540, 519, 7333, 1676, 454, 825, 2433, 12407, 1665, 281, 1915, 267, 15262, 454, 825, 2433, 8873, 281, 7183, 454, 825, 8173, 825, 1003, 318, 12201, 4671, 4973, 815, 8700, 910, 7003, 263, 3316, 1676, 264, 910, 476, 274, 454, 825, 1003, 318, 12201, 318, 3847, 815, 1003, 318, 12201, 4671, 4973, 12262, 476, 273, 454, 825, 1003, 318, 12201, 318, 2431, 815, 1003, 318, 12201, 4671, 4973, 910, 1003, 318, 12201, 318, 3847, 454, 825, 7333, 1676, 318, 5976, 318, 12201, 815, 834, 258, 257, 1341, 834, 2668, 21860, 8443, 5658, 585, 9041, 538, 2039, 16325, 318, 12201, 318, 3847, 264, 7481, 825, 7333, 1676, 318, 5976, 318, 12201, 6834, 834, 4939, 338, 834, 4939, 7333, 1676, 454, 825, 7333, 1676, 318, 5976, 318, 12201, 6834, 834, 2668, 21860, 8443, 5658, 585, 9041, 538, 2039, 16325, 318, 12201, 318, 2431, 264, 7481, 825, 1820, 263, 3316, 1676, 318, 5976, 318, 12201, 9239, 3698, 1820, 318, 3316, 1676, 318, 23026, 263, 3316, 1676, 267, 8700, 284, 3199, 267, 1665, 6889, 268, 257, 2187, 825, 8173, 825, 7179, 513, 7333, 1676, 899, 454, 825, 1948, 5785, 734, 16482, 825, 1948, 25639, 29332, 302, 3546, 1948, 454, 825, 1948, 5785, 734, 16482, 825, 547, 31901, 719, 780, 825, 2433, 12407, 7333, 1676, 281, 5569, 267, 3844, 1257, 538, 519, 7333, 1676, 454, 825, 2433, 12407, 8700, 281, 8870, 267, 2698, 8700, 540, 519, 7333, 1676, 454, 825, 2433, 12407, 1665, 281, 1915, 267, 15262, 454, 825, 2433, 8873, 281, 7183, 454, 825, 8173, 825, 1003, 318, 4944, 2167, 4671, 4973, 815, 8700, 910, 7003, 263, 3316, 1676, 264, 910, 476, 273, 454, 825, 1003, 318, 4944, 2167, 318, 3847, 815, 1003, 318, 4944, 2167, 4671, 4973, 12262, 476, 273, 454, 825, 1003, 318, 4944, 2167, 318, 2431, 815, 1003, 318, 4944, 2167, 4671, 4973, 910, 1003, 318, 4944, 2167, 318, 3847, 454, 825, 7333, 1676, 318, 5976, 318, 4944, 2167, 815, 834, 258, 257, 1341, 834, 2668, 21860, 8443, 257, 834, 585, 9041, 538, 2039, 16325, 318, 4944, 2167, 318, 3847, 264, 7481, 825, 7333, 1676, 318, 5976, 318, 4944, 2167, 6834, 7333, 1676, 454, 825, 7333, 1676, 318, 5976, 318, 4944, 2167, 6834, 834, 2668, 21860, 8443, 257, 834, 585, 9041, 538, 2039, 16325, 318, 4944, 2167, 318, 2431, 264, 8079, 1341, 834, 258 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1448, 1606, 331, 2100, 1106, 780, 1012, 11588, 540, 1210, 513, 5276, 3830, 20303, 692, 2467, 616, 513, 1906, 2640, 540, 1210, 513, 5276, 3830, 20303, 269, 2290, 4324, 568, 602, 621, 666, 4688, 596, 942, 269, 1403, 596, 991, 547, 6460, 513, 5276, 3830, 689, 835, 1106, 547, 1776, 267, 1210, 513, 20303, 666, 798, 621, 585, 596, 538, 7643, 780, 5194, 4324, 540, 1210, 513, 5276, 3830, 20303, 568, 602, 621, 666, 948, 596, 547, 2057, 6959, 269, 1403, 596, 616, 14291, 513, 5276, 3830, 676, 1688, 267, 621, 568, 2653, 547, 1118, 513, 12161, 269, 4635, 513, 20303, 666, 948, 596, 547, 2057, 891, 9073, 780, 1012, 1215, 547, 946, 513, 5276, 3830, 20303, 692, 2414, 946, 513, 5276, 3830, 20303, 267, 3274, 4283, 519, 5276, 3830, 602, 596, 1616, 547, 6460, 883, 519, 20303, 269, 634, 20303, 786, 1287, 2307, 596, 547, 2824, 519, 3977, 3898, 602, 596, 1616, 269, 4495, 596, 723, 5697, 519, 3977, 3898, 267, 4945, 519, 968, 3519, 3200, 892, 7735, 269, 634, 20303, 786, 1287, 1397, 596, 519, 10736, 5276, 3830, 538, 519, 3977, 3898, 602, 596, 5697, 780, 1012, 7756, 2010, 540, 5276, 4834, 692, 2467, 616, 2185, 1292, 2010, 540, 5276, 4834, 1384, 1892, 32437, 25435, 1106, 281, 2387, 344, 815, 544, 343, 1341, 536, 319, 454, 1892, 8672, 1606, 331, 2100, 1106, 281, 2387, 344, 910, 586, 272, 815, 544, 3287, 910, 1535, 272, 23375, 454, 1892, 9208, 1106, 281, 2387, 288, 343, 1341, 1635, 1341, 595, 815, 476, 271, 319, 454, 1892, 3955, 1061, 1106, 281, 2387, 344, 815, 544, 343, 1341, 536, 319, 543, 2387, 343, 815, 562, 26384, 1012, 1215, 547, 6460, 1063, 1114, 2010, 540, 5276, 4834, 692, 2414, 6460, 1063, 1114, 2010, 540, 5276, 4834, 267, 596, 666, 946, 519, 1739, 12596, 1384, 1892, 20593, 1154, 689, 9386, 25435, 1106, 547, 1448, 1606, 331, 2100, 1106, 281, 2387, 344, 910, 586, 272, 815, 544, 3287, 910, 1535, 272, 264, 12452, 1141, 25464, 343, 272, 267, 586, 272, 23375, 568, 1022, 1448, 593, 519, 1899, 563, 1892, 20593, 1154, 689, 1448, 1606, 331, 2100, 1106, 547, 9386, 25435, 1106, 281, 2387, 344, 815, 544, 343, 1341, 536, 12452, 1141, 2387, 332, 319, 568, 519, 9386, 540, 519, 1899, 543, 2387, 321, 319, 568, 519, 586, 25435, 563, 1892, 20593, 1154, 689, 9386, 25435, 1106, 547, 3044, 1106, 281, 2387, 288, 343, 1341, 1635, 1341, 595, 815, 476, 271, 12452, 1141, 2387, 288, 815, 910, 332, 12452, 2387, 289, 815, 476, 272, 12452, 543, 2387, 290, 815, 910, 321, 319, 563, 1892, 20593, 1154, 689, 3044, 1106, 547, 9386, 25435, 1106, 281, 2387, 344, 815, 544, 343, 1341, 536, 12452, 1141, 2387, 332, 815, 910, 288, 20324, 319, 543, 2387, 321, 815, 910, 290, 20324, 27471, 2162, 7151, 2042, 692, 3519, 3200, 519, 1739, 5276, 3830, 689, 9386, 25435, 1106, 547, 1448, 1606, 331, 2100, 1106, 1384, 18606, 344, 815, 476, 273, 343, 1341, 476, 274, 454, 32526, 2414, 6460, 519, 3830, 547, 1448, 1606, 331, 2100, 1106, 267, 649, 991, 547, 3442, 513, 1448, 593, 519, 1899, 269, 2913, 779, 3442, 519, 1448, 630, 271, 267, 476, 274, 6393, 18606, 344, 910, 476, 274, 815, 544, 3287, 910, 476, 271, 994, 32526, 27802, 23082, 2387, 273, 319, 585, 2387, 332, 12452, 649, 1205, 1384, 18606, 344, 910, 476, 274, 815, 476, 273, 343, 454, 32526, 3519, 3200, 519, 1739, 5276, 3830, 689, 1448, 1606, 331, 2100, 1106, 547, 9386, 25435, 1106, 1384, 18606, 344, 910, 476, 274, 815, 476, 275, 3287, 910, 476, 273, 994, 32526, 2414, 6460, 519, 3830, 547, 9386, 25435, 1106, 267, 649, 991, 547, 13861, 519, 3830, 865, 602, 2387, 344, 319, 568, 9678, 593, 835, 2427, 540, 519, 3830, 269, 1284, 666, 798, 713, 676, 26084, 519, 2387, 275, 319, 3330, 519, 24324, 543, 1287, 4946, 476, 274, 547, 1312, 5011, 540, 519, 3830, 780, 18606, 344, 910, 476, 274, 815, 476, 275, 343, 910, 476, 279, 454, 18606, 454, 18606, 344, 815, 476, 275, 343, 910, 476, 279, 1341, 476, 274, 454, 18606, 454, 18606, 344, 815, 476, 275, 343, 910, 476, 276, 454, 32526, 11997, 267, 519, 9386, 25435, 1106, 540, 519, 3830, 568, 2387, 344, 815, 476, 275, 343, 910, 476, 276, 27471, 3519, 3200, 519, 1739, 5276, 3830, 689, 9386, 25435, 1106, 547, 3044, 1106, 1384, 18606, 344, 815, 910, 274, 343, 1341, 476, 276, 454, 32526, 2414, 6460, 519, 3830, 547, 3044, 1106, 267, 649, 991, 547, 1847, 519, 2387, 343, 319, 2165, 547, 519, 1482, 2427, 540, 519, 3830, 607, 519, 2387, 344, 319, 2165, 269, 1284, 666, 798, 713, 676, 18946, 2387, 268, 274, 343, 319, 689, 1312, 5011, 540, 519, 3830, 780, 18606, 344, 910, 11196, 274, 343, 264, 815, 476, 276, 910, 476, 274, 343, 454, 18606, 454, 18606, 344, 1341, 476, 274, 343, 815, 476, 276, 910, 476, 274, 343, 454, 32526, 9202, 267, 649, 991, 547, 9192, 519, 2387, 343, 319, 2474, 593, 519, 1318, 2427, 540, 519, 3830, 269, 1284, 666, 798, 713, 676, 4946, 2387, 274, 343, 319, 547, 1312, 5011, 540, 519, 3830, 780, 18606, 344, 1341, 476, 274, 343, 1341, 476, 274, 343, 815, 476, 276, 910, 476, 274, 343, 1341, 476, 274, 343, 454, 18606, 454, 18606, 344, 815, 476, 276, 454, 32526, 7661, 267, 649, 991, 547, 1847, 519, 3586, 2165, 547, 519, 1318, 2427, 540, 519, 3830, 269, 1284, 666, 798, 713, 676, 18946, 476, 276, 689, 1312, 5011, 540, 519, 3830, 780, 18606, 344, 910, 476, 276, 815, 476, 276, 910, 476, 276, 454, 18606, 454, 18606, 344, 910, 476, 276, 815, 476, 271, 454, 32526, 11997, 267, 519, 3044, 1106, 540, 519, 3830, 568, 2387, 344, 910, 476, 276, 815, 476, 271, 27471, 1012, 10390, 692, 30791, 3830, 4780, 1562, 616, 513, 3407, 1907, 602, 666, 581, 1031, 547, 4688, 942, 543, 2057, 6959, 950, 14291, 5276, 4834, 689, 835, 1106, 547, 1776, 269, 769, 713, 2376, 267, 649, 723, 5941, 1114, 2010, 540, 5276, 4834, 543, 875, 547, 6460, 1063, 873, 269, 1284, 723, 849, 3177, 1383, 2042, 547, 9414, 875, 547, 946, 513, 5276, 3830, 20303, 780, 1012, 14174, 17988, 692, 2162, 1548, 568, 519, 3017, 1063, 513, 5276, 3830, 543, 513, 13392, 3830, 2496, 288, 5276, 3830, 568, 606, 3830, 602, 666, 581, 2854, 538, 519, 1106, 540, 513, 2786, 1899, 269, 589, 13392, 3830, 568, 606, 3830, 602, 666, 581, 2854, 538, 519, 1106, 540, 513, 29236, 269, 28065, 4834, 616, 811, 1950, 982, 5276, 4834, 543, 4125, 2362, 7060, 540, 4632, 780, 2162, 1215, 798, 594, 4194, 513, 5276, 3830, 2496, 2467, 616, 1082, 1114, 2081, 547, 4194, 513, 5276, 3830, 269, 2290, 1455, 1505, 568, 547, 946, 519, 1739, 3268, 1384, 272, 269, 8844, 782, 540, 519, 2387, 343, 319, 2474, 547, 835, 2427, 540, 519, 3830, 563, 273, 269, 8844, 782, 540, 519, 3586, 2474, 547, 519, 824, 2427, 540, 519, 3830, 563, 274, 269, 28799, 519, 2387, 343, 319, 2474, 593, 835, 2427, 540, 519, 3830, 563, 275, 269, 19147, 1312, 5011, 540, 519, 3830, 676, 519, 11664, 540, 519, 2387, 343, 319, 2165, 780, 2162, 1548, 568, 519, 3483, 540, 513, 5276, 3830, 20303, 2496, 288, 5276, 3830, 20303, 568, 513, 1907, 602, 666, 581, 1031, 547, 6460, 5276, 4834, 689, 835, 1106, 547, 1776, 269, 1280, 1383, 267, 596, 666, 946, 513, 5276, 3830, 20303, 547, 6460, 513, 9386, 25435, 1106, 3830, 547, 513, 1448, 1606, 331, 2100, 1106, 3830, 267, 610, 547, 6460, 513, 3044, 1106, 3830, 547, 513, 9386, 25435, 1106, 3830, 780, 2162, 1548, 616, 519, 2640, 540, 1210, 513, 5276, 3830, 20303, 2496, 2467, 616, 513, 1906, 2640, 540, 1210, 513, 5276, 3830, 20303, 269, 2290, 4324, 568, 602, 621, 666, 4688, 596, 942, 269, 1403, 596, 991, 547, 6460, 513, 5276, 3830, 689, 835, 1106, 547, 1776, 267, 1210, 513, 20303, 666, 798, 621, 585, 596, 538, 7643, 780, 5194, 4324, 540, 1210, 513, 5276, 3830, 20303, 568, 602, 621, 666, 948, 596, 547, 2057, 6959, 269, 1403, 596, 616, 14291, 513, 5276, 3830, 676, 1688, 267, 621, 568, 2653, 547, 1118, 513, 12161, 269, 4635, 513, 20303, 666, 948, 596, 547, 2057, 891, 9073, 780, 2162, 1548, 616, 519, 1114, 2010, 540, 5276, 3830, 4780, 1562, 2496, 2467, 616, 1082, 1114, 2010, 540, 5276, 3830, 4780, 1562, 2139, 2228, 269, 2368, 4780, 1562, 616, 2241, 543, 1152, 1450, 596, 547, 6460, 1063, 1079, 2010, 540, 5276, 4834, 269, 4033, 4780, 1562, 616, 811, 1950, 543, 1450, 596, 547, 6460, 1063, 1082, 1114, 2010, 540, 5276, 4834, 780, 2162, 1215, 798, 594, 3442, 519, 1318, 5276, 3830, 20303, 585, 803, 2496, 2691, 7446, 513, 5276, 3830, 20303, 267, 621, 568, 1271, 547, 2015, 519, 1739, 2188, 1384, 1892, 634, 2010, 540, 5276, 4834, 602, 596, 991, 547, 6460, 563, 1892, 634, 8897, 540, 946, 540, 519, 20303, 563, 1892, 634, 6111, 540, 519, 20303, 269, 0, 14276, 527, 2946, 454, 3682, 7798, 22391, 18704, 454, 294, 277, 544, 276, 2275, 268, 1652, 517, 476, 1321, 1606, 454, 2419, 1618, 618, 546, 753, 3267, 476, 274, 454, 272, 1109, 31162, 1109, 275, 454, 14276, 527, 2946, 692, 2162, 16497, 476, 1321, 476, 1724, 24673, 692, 272, 269, 8745, 12843, 6303, 1693, 11261, 12843, 1029, 11427, 269, 6997, 639, 7288, 1315, 7323, 645, 754, 344, 11270, 13322, 1693, 3525, 476, 276, 16497, 476, 1321, 268, 1724, 631, 1120, 539, 3503, 513, 10230, 4082, 585, 519, 4320, 540, 1142, 1993, 519, 14328, 1440, 3359, 1657, 269, 966, 815, 561, 25104, 371, 530, 25104, 371, 554, 966, 815, 561, 25104, 371, 530, 25104, 371, 554, 966, 815, 561, 25104, 371, 530, 25104, 371, 554, 1548, 798, 782, 540, 891, 7215, 723, 538, 1455, 286, 1548, 798, 789, 2099, 286, 25166, 1679, 519, 10230, 7215, 547, 1397, 1018, 789, 723, 538, 1455, 269, 1403, 649, 917, 4320, 585, 513, 14328, 1440, 1143, 607, 3259, 9392, 12296, 9392, 19417, 267, 1018, 568, 1776, 4542, 585, 4320, 602, 649, 1223, 946, 1759, 593, 891, 1806, 286, 1703, 616, 1079, 12596, 585, 4320, 281, 966, 815, 561, 25104, 371, 530, 25104, 371, 554, 1548, 568, 519, 1858, 540, 519, 3490, 585, 782, 540, 519, 14328, 1440, 3359, 888, 273, 269, 815, 476, 5582, 509, 493, 5582, 509, 495, 476, 5582, 509, 494, 31977, 509, 14256, 511, 476, 5582, 509, 494, 14419, 519, 4320, 540, 1142, 5550, 9771, 1440, 1143, 1210, 2901, 1505, 269, 1215, 798, 519, 12531, 540, 519, 1101, 543, 2034, 5550, 9771, 1440, 3359, 5635, 286, 634, 12531, 540, 519, 1101, 543, 3791, 286, 4855, 519, 1858, 540, 519, 4137, 2630, 3245, 519, 14827, 19044, 281, 589, 1007, 2754, 6499, 547, 13875, 856, 5439, 540, 922, 4552, 2472, 269, 634, 4818, 1415, 814, 513, 3732, 4216, 602, 568, 513, 14328, 24388, 609, 513, 14328, 3490, 609, 606, 1858, 540, 476, 5582, 509, 494, 5582, 509, 495, 476, 5582, 509, 493, 476, 5582, 509, 495, 538, 273, 269, 634, 4463, 540, 519, 24388, 568, 476, 5582, 509, 493, 476, 5582, 509, 493, 476, 5582, 509, 496, 538, 269, 14419, 519, 4320, 540, 519, 3732, 4216, 563, 274, 269, 8745, 12843, 6303, 1693, 11261, 12843, 1029, 11427, 269, 6997, 639, 7288, 1315, 7323, 645, 754, 344, 11270, 13322, 1693, 3525, 476, 276, 16497, 476, 1321, 268, 1724, 631, 1120, 539, 513, 269, 3503, 513, 10230, 4082, 1721, 519, 4320, 540, 1142, 1993, 519, 14328, 1440, 3359, 1657, 269, 630, 476, 5582, 509, 493, 5582, 509, 497, 476, 21811, 488, 21811, 493, 269, 3738, 263, 5582, 509, 493, 476, 5582, 509, 493, 476, 5582, 509, 494, 476, 21811, 488, 21811, 493, 269, 3738, 263, 5582, 509, 495, 476, 21811, 488, 21811, 493, 269, 3738, 630, 476, 5582, 509, 493, 5582, 509, 497, 476, 21811, 488, 21811, 493, 269, 3738, 630, 5582, 509, 493, 476, 5582, 509, 493, 476, 5582, 509, 494, 476, 21811, 488, 21811, 493, 269, 3738, 263, 5582, 509, 498, 476, 21811, 488, 21811, 493, 269, 3738, 630, 476, 5582, 509, 493, 5582, 509, 497, 476, 21811, 488, 21811, 493, 269, 3738, 263, 5582, 509, 493, 476, 5582, 509, 493, 476, 5582, 509, 494, 476, 21811, 488, 21811, 493, 269, 3738, 263, 5582, 509, 501, 476, 21811, 488, 21811, 493, 269, 3738, 536, 269, 1548, 798, 782, 540, 891, 7215, 723, 538, 1455, 286, 1548, 798, 789, 2099, 286 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 695, 629, 2421, 269, 634, 2621, 616, 1572, 16264, 1098, 1080, 2864, 982, 17772, 2354, 525, 2094, 789, 2461, 2938, 689, 9018, 2230, 269, 3690, 1080, 3335, 2063, 827, 513, 3368, 5662, 267, 855, 693, 476, 273, 269, 276, 3108, 267, 2221, 779, 729, 835, 540, 519, 13074, 2479, 6592, 269, 634, 1985, 835, 4386, 593, 5147, 476, 2918, 267, 476, 1001, 275, 563, 9213, 779, 16264, 18302, 540, 519, 3141, 4553, 676, 513, 2178, 3859, 27506, 454, 2691, 606, 24256, 7475, 267, 519, 1187, 568, 2356, 936, 267, 855, 711, 713, 942, 269, 3807, 607, 519, 7599, 1793, 573, 1055, 519, 3141, 779, 535, 30711, 12210, 267, 513, 2178, 631, 277, 269, 277, 3859, 27506, 1011, 10757, 689, 1369, 513, 1007, 267, 1360, 3742, 10877, 13607, 1895, 24263, 519, 9456, 18215, 543, 1025, 16556, 513, 595, 10933, 630, 14585, 4689, 2527, 552, 20287, 264, 883, 2230, 269, 1548, 513, 1397, 2336, 16256, 302, 10580, 3047, 538, 513, 2520, 657, 2106, 28942, 10739, 827, 476, 2420, 267, 1822, 5195, 1164, 543, 11147, 519, 3141, 11179, 1554, 543, 3781, 689, 513, 642, 656, 720, 1448, 1164, 1657, 6792, 543, 519, 7414, 7909, 269, 6168, 476, 272, 269, 276, 1768, 17879, 5052, 540, 3859, 1239, 610, 519, 6697, 540, 3368, 513, 2929, 8964, 689, 1775, 307, 17480, 616, 22434, 547, 32110, 538, 6519, 590, 1343, 267, 1715, 6792, 1169, 1554, 563, 2690, 6476, 267, 519, 2230, 6728, 267, 799, 25057, 1454, 6251, 547, 3047, 267, 1131, 1118, 513, 4057, 3859, 2616, 2218, 267, 2094, 3047, 7161, 519, 3141, 585, 3368, 540, 1169, 476, 3445, 8792, 10739, 563, 2691, 596, 1413, 693, 519, 1869, 5961, 543, 3381, 267, 5469, 875, 3982, 519, 6316, 540, 519, 7599, 5526, 269, 2060, 12303, 1100, 5790, 267, 519, 7599, 3217, 513, 968, 3333, 17369, 892, 11116, 856, 540, 519, 3141, 563, 16256, 302, 993, 30769, 609, 922, 20498, 5961, 540, 519, 3141, 3144, 538, 476, 1015, 1114, 20966, 540, 1769, 1169, 476, 1015, 7643, 282, 3606, 7405, 1353, 21513, 593, 519, 3141, 779, 2627, 267, 6419, 4610, 543, 875, 1454, 11158, 5982, 519, 3141, 533, 2293, 883, 2230, 563, 15253, 1563, 547, 782, 519, 2182, 2257, 267, 519, 7466, 513, 1032, 1098, 1080, 616, 513, 6653, 2427, 4324, 1454, 899, 519, 10027, 1845, 547, 6137, 513, 31914, 2801, 563, 2791, 666, 1118, 707, 1378, 7260, 540, 2221, 779, 9864, 24256, 676, 9683, 519, 12676, 302, 3896, 663, 1739, 891, 2653, 3268, 912, 265, 8437, 593, 519, 4578, 9184, 543, 2824, 3642, 288, 26260, 11085, 25873, 4578, 454, 265, 8437, 593, 519, 9373, 3399, 11261, 6885, 267, 2824, 513, 1376, 4266, 543, 942, 543, 4945, 667, 821, 454, 265, 8437, 593, 9373, 7736, 11261, 543, 4945, 667, 821, 454, 265, 7201, 22370, 8554, 267, 4584, 519, 2681, 630, 11445, 767, 2654, 264, 3141, 596, 1616, 454, 265, 8564, 7348, 538, 519, 4159, 4216, 454, 265, 8437, 4427, 2466, 693, 519, 5377, 543, 4585, 513, 3381, 540, 707, 5697, 5961, 454, 3719, 519, 24790, 2443, 610, 8726, 4959, 2177, 568, 1631, 2443, 6854, 6505, 2287, 543, 6505, 2287, 543, 6505, 2287, 538, 2592, 689, 519, 8331, 27582, 13152, 6611, 10837, 9891, 543, 4477, 328, 2214, 8879, 25076, 269, 634, 5961, 616, 1869, 7138, 1782, 19936, 1318, 1631, 267, 3592, 513, 1554, 1310, 4959, 2177, 779, 14191, 7237, 609, 519, 3141, 563, 2791, 666, 1246, 938, 2661, 24108, 3022, 10539, 19108, 267, 1309, 5529, 676, 513, 979, 2125, 332, 22326, 23318, 689, 519, 25220, 3194, 12524, 779, 20913, 645, 3430, 4461, 267, 968, 2171, 3494, 930, 1507, 851, 540, 4959, 2177, 779, 13540, 814, 590, 7838, 309, 4353, 3633, 31971, 3559, 542, 2223, 646, 1767, 593, 12108, 269, 4595, 1287, 267, 645, 3430, 4461, 5206, 513, 2143, 5816, 2022, 267, 13288, 547, 2592, 689, 519, 14066, 24234, 543, 15190, 668, 13011, 20840, 4588, 630, 299, 3008, 4596, 264, 20829, 14298, 9816, 912, 2108, 31861, 1496, 298, 9519, 316, 543, 594, 616, 678, 6235, 938, 4552, 856, 1318, 1631, 607, 649, 917, 602, 865, 1082, 1004, 538, 519, 1857, 267, 519, 2923, 543, 538, 2257, 6887, 1616, 547, 917, 1018, 779, 5949, 269, 1284, 8910, 2648, 547, 917, 602, 1932, 256, 9406, 1631, 267, 1934, 779, 938, 2324, 8367, 281, 1306, 28661, 4959, 2177, 32168, 539, 2509, 547, 519, 6129, 267, 621, 3459, 547, 2887, 6306, 267, 9561, 711, 9649, 15998, 855, 693, 2547, 513, 2603, 540, 21230, 21092, 25098, 269, 1703, 779, 2963, 540, 1360, 1804, 7452, 538, 519, 1106, 540, 602, 1279, 6094, 2766, 649, 4718, 538, 519, 700, 3008, 4596, 595, 273, 2592, 563, 10190, 267, 607, 4959, 2177, 32168, 539, 998, 519, 1351, 7431, 267, 621, 4797, 547, 2887, 6306, 543, 11517, 1125, 267, 543, 4503, 922, 635, 320, 543, 2766, 4625, 1175, 899, 11146, 2809, 1705, 538, 476, 1001, 272, 269, 630, 2171, 723, 938, 6436, 607, 547, 1946, 621, 4769, 1406, 1397, 909, 538, 519, 12676, 302, 2592, 855, 602, 779, 711, 938, 1650, 547, 2995, 1107, 519, 12676, 302, 2319, 786, 798, 602, 4700, 3973, 267, 1018, 7153, 689, 519, 6129, 729, 513, 1507, 855, 5310, 10169, 17396, 13540, 267, 602, 814, 759, 25390, 32749, 7452, 543, 3154, 585, 693, 2547, 519, 942, 1373, 269, 769, 9759, 267, 519, 2766, 568, 3395, 1394, 267, 607, 11146, 2809, 779, 1705, 563, 3383, 1247, 938, 3069, 6157, 814, 9475, 267, 1318, 1631, 621, 1281, 2408, 602, 513, 2547, 930, 1507, 6824, 540, 4959, 2177, 814, 7283, 538, 835, 4062, 543, 568, 8362, 16089, 1570, 269, 1284, 723, 1100, 2856, 875, 2462, 713, 13540, 568, 267, 952, 972, 568, 8197, 835, 269, 1403, 972, 568, 513, 13540, 267, 621, 568, 1869, 1932, 4166, 547, 2995, 875, 1279, 621, 786, 7639, 269, 1403, 621, 1281, 7639, 585, 811, 982, 513, 1906, 2395, 267, 621, 568, 1932, 4166, 547, 2995, 952, 519, 28661, 786, 581, 7298, 538, 519, 3781, 6607, 269, 1403, 621, 568, 7298, 538, 519, 3781, 6607, 267, 621, 568, 1932, 4166, 547, 2161, 875, 6505, 621, 786, 581, 7498, 1607, 6640, 630, 12239, 1070, 645, 3430, 4461, 13151, 3307, 569, 24298, 519, 5767, 2592, 646, 4718, 281, 968, 17780, 593, 513, 1906, 811, 3108, 540, 1239, 267, 28661, 1948, 3041, 2177, 5526, 547, 581, 2507, 1134, 267, 1969, 532, 899, 513, 28661, 256, 5608, 646, 5206, 593, 12108, 563, 22498, 9783, 513, 4567, 9337, 713, 6640, 6031, 621, 779, 15458, 952, 713, 31629, 568, 11935, 610, 606, 4890, 13540, 267, 855, 3773, 602, 968, 17218, 5991, 697, 2079, 689, 3744, 609, 8331, 779, 1290, 564, 4959, 2177, 9866, 6326, 22411, 2303, 602, 972, 568, 693, 2547, 513, 1507, 13540, 16856, 1848, 8331, 267, 607, 1134, 607, 645, 3430, 4461, 267, 11329, 856, 602, 28661, 814, 1969, 539, 17674, 2406, 2429, 519, 476, 1428, 3275, 3744, 543, 993, 622, 2720, 723, 1044, 11287, 621, 563, 9961, 519, 1032, 602, 3173, 723, 14478, 1290, 564, 4959, 2177, 1107, 543, 2523, 1282, 922, 3803, 1935, 547, 519, 3141, 1107, 519, 28661, 6505, 2989, 543, 3897, 4364, 538, 6397, 2081, 269, 6270, 21386, 2242, 2356, 2049, 538, 3210, 547, 1570, 14495, 1055, 519, 28661, 267, 543, 1114, 1570, 786, 798, 865, 693, 1114, 5210, 3976, 3246, 10881, 607, 547, 1018, 519, 28661, 568, 1500, 540, 269, 22718, 713, 4806, 786, 948, 3744, 1174, 519, 5888, 540, 4959, 2177, 267, 799, 3568, 1570, 19632, 1282, 519, 1360, 5250, 540, 519, 3859, 1062, 930, 476, 275, 269, 276, 5479, 1296, 3516, 563, 306, 17218, 14068, 18395, 5816, 3455, 5845, 1773, 7159, 795, 3183, 569, 28520, 856, 2453, 899, 968, 1432, 519, 1018, 9495, 593, 12108, 19108, 267, 855, 3773, 538, 513, 3735, 5991, 697, 9337, 281, 968, 2252, 596, 10093, 1406, 23125, 713, 856, 2943, 281, 1284, 616, 2608, 331, 8221, 265, 713, 269, 634, 17807, 26208, 721, 2943, 1586, 256, 1215, 15813, 17373, 1261, 4797, 609, 1010, 22035, 7321, 538, 513, 5816, 2022, 912, 2690, 1346, 5329, 6060, 693, 1753, 267, 621, 3893, 6505, 267, 1287, 621, 535, 12184, 267, 1287, 621, 3893, 782, 1159, 18193, 856, 267, 1287, 621, 3357, 1472, 519, 6129, 1159, 18193, 856, 267, 543, 1287, 621, 8604, 547, 1205, 922, 957, 1927, 1586, 269, 2311, 713, 1448, 267, 594, 20549, 547, 1118, 1022, 2417, 8753, 827, 713, 28661, 282, 621, 4667, 11235, 547, 25657, 269, 594, 4076, 1044, 6217, 689, 28661, 12665, 945, 616, 1175, 607, 536, 3530, 1194, 2507, 799, 568, 9735, 256, 1403, 649, 6785, 1018, 729, 2469, 593, 267, 972, 8910, 581, 4986, 811, 547, 1451, 563, 5804, 1250, 3355, 1413, 693, 4959, 2177, 538, 2221, 779, 14298, 9816, 2592, 267, 621, 4667, 13540, 814, 6140, 30477, 3603, 269, 4024, 1152, 917, 952, 851, 540, 4959, 2177, 13540, 814, 15068, 676, 11173, 7422, 543, 7900, 811, 2079, 269, 24761, 10178, 6879, 1901, 10522, 6266, 540, 1570, 729, 5950, 543, 21409, 2059, 4959, 2177, 10739, 267, 711, 16876, 538, 513, 2757, 2766, 269, 14348, 581, 4277, 547, 1451, 811, 827, 5888, 540, 11935, 547, 948, 721, 4062, 1927, 1018, 779, 5949, 267, 855, 649, 991, 811, 942, 563, 10000, 11845, 267, 476, 279, 281, 3374, 533, 6230, 269, 29643, 281, 28687, 1643, 1399, 827, 1290, 564, 4959, 2177, 779, 12556, 2693, 786, 6414, 585, 930, 942, 269, 20913, 645, 3430, 4461, 1175, 17408, 9643, 602, 1310, 476, 273, 267, 1822, 23475, 571, 4506, 28661, 7422, 267, 646, 814, 2760, 2938, 6505, 2287, 538, 519, 1482, 1259, 602, 4959, 2177, 630, 528, 922, 3788, 264, 2408, 547, 581, 3257, 1318, 1631, 269, 1284, 3580, 1832, 8384, 269, 7464, 6066, 2592, 616, 2139, 593, 713, 3896, 563, 10000, 11845, 267, 476, 277, 281, 1789, 533, 6230, 269, 29643, 281, 1323, 5140, 5816, 2022, 689, 5845, 1773, 7159, 630, 15367, 11339, 519, 14068, 18395, 5816, 593, 6215, 622, 264, 26564, 1010, 1491, 540, 519, 28661, 779, 12556, 282, 11935, 630, 2865, 2693, 267, 646, 3081, 264, 5170, 547, 1397, 909, 538, 2592, 269, 1323, 4849, 281, 968, 2005, 4371, 1927, 513, 1279, 942, 267, 3893, 1360, 6505, 2063, 3781, 267, 535, 12184, 713, 6640, 267, 1287, 15151, 8593, 6306, 269, 901, 3884, 1406, 9670, 282, 649, 1294, 635, 1115, 30477, 3433, 1419, 2614, 607, 789, 5180, 519, 6129, 269, 4959, 2177, 779, 13540, 729, 1152, 513, 7008, 540, 12919, 2066, 693, 1655, 267, 865, 621, 1131, 723, 11124, 896, 519, 6129, 779, 3002, 811, 982, 513, 8273, 28661, 1131, 723, 269, 12846, 267, 972, 779, 811, 11287, 547, 798, 267, 543, 540, 1576, 1454, 1239, 936, 799, 547, 31736, 3034, 10000, 11845, 267, 476, 275, 281, 2412, 533, 6230, 269, 29643, 281, 4002, 12108, 267, 519, 3864, 6611, 10837, 630, 638, 7627, 14298, 9816, 10196, 12672, 14551, 18307, 1188, 264, 1767, 519, 28661, 568, 8854, 269, 9484, 541, 2299, 267, 519, 25220, 3194, 12524, 779, 20913, 645, 3430, 4461, 11540, 602, 646, 14659, 2487, 7422, 1397, 11935, 689, 4959, 2177, 267, 855, 711, 513, 13540, 269, 13562, 12002, 616, 1869, 5464, 267, 2705, 563, 10000, 11845, 267, 476, 274, 281, 6321, 533, 6230, 269, 29643, 281, 23985, 814, 7153, 689, 31971, 3559, 542, 267, 855, 519, 4966, 616, 5258, 607, 547, 2436, 621, 779, 2451, 13569, 540, 4959, 2177, 779, 2766, 267, 610, 519, 28661, 3294, 269, 13773, 22934, 563, 763, 12556, 540, 1290, 564, 595, 270, 1001, 273, 590, 272, 4959, 2177, 568, 7334, 269, 898, 1500, 922, 14191, 1935, 547, 519, 3141, 2221, 630, 22261, 269, 476, 2764, 264, 1472, 476, 272, 281, 4510, 533, 6230, 269, 29643, 630, 277, 281, 4510, 533, 6230, 269, 27635, 1040, 1306, 540, 13628, 3781, 267, 1018, 779, 8345, 547, 519, 28661, 568, 1869, 15458, 267, 607, 24319, 2119, 547, 1832, 909, 13922, 585, 513, 1434, 28661, 1397, 538, 519, 1985, 1906, 4374, 563, 2005, 786, 1491, 513, 1906, 811, 3108, 2394, 8331, 543, 824, 8041, 666, 2161, 585, 2386, 1018, 519, 28661, 779, 12556, 568, 269, 2334, 1767, 267, 972, 1869, 568, 3407, 2257, 602, 666, 581, 5340, 952, 4959, 2177, 814, 7745, 909, 2443, 811, 3877, 2630, 519, 7914, 563, 3041, 2177, 14626, 3660, 609, 1977, 21175, 267, 4929, 513, 2603, 540, 19936, 543, 20859, 547, 960, 9702, 3108, 1247, 533, 1495, 1080, 1500, 24668, 827, 519, 28661, 1373, 968, 549, 16556, 892, 2059, 609, 519, 21429, 269, 11531, 267, 23153, 31485, 26573, 2311, 330, 8657, 2443, 2278, 540, 519, 20613, 1746, 585, 4959, 2177, 5816, 2443, 729, 1851, 1346, 23362, 32261, 519, 28661, 779 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1432, 568, 513, 570, 7541, 888, 288, 547, 8615, 568, 513, 835, 1790, 19991, 28630, 602, 814, 1831, 5702, 2404, 609, 9147, 7507, 267, 1141, 621, 729, 519, 4013, 1533, 28630, 543, 513, 3090, 540, 4936, 2528, 269, 769, 1249, 267, 519, 28630, 729, 2919, 676, 5065, 1004, 945, 5030, 538, 519, 3148, 1354, 519, 14564, 267, 543, 621, 729, 12816, 14916, 538, 519, 18264, 6350, 4754, 1974, 543, 676, 519, 16380, 269, 6736, 519, 1249, 602, 3875, 26007, 540, 547, 326, 553, 666, 581, 1336, 538, 4936, 1148, 267, 972, 568, 930, 15539, 827, 875, 789, 941, 12816, 538, 1114, 5712, 540, 4936, 1686, 563, 763, 28630, 729, 24814, 547, 10859, 2275, 1844, 983, 538, 3337, 267, 543, 1500, 689, 5230, 15144, 269, 898, 729, 546, 1905, 539, 936, 519, 1560, 538, 513, 2511, 602, 9867, 267, 4470, 593, 519, 1974, 269, 4438, 519, 4463, 540, 4936, 2528, 267, 547, 326, 553, 941, 5704, 2299, 25649, 538, 513, 1259, 602, 1500, 621, 3592, 7543, 547, 1847, 267, 543, 519, 6221, 540, 7802, 3357, 547, 581, 2404, 609, 5480, 23079, 267, 6101, 2621, 267, 543, 519, 4936, 5580, 5035, 525, 269, 2755, 547, 326, 553, 941, 8385, 12816, 676, 1312, 2367, 543, 2021, 267, 789, 5555, 3357, 547, 581, 12816, 14311, 676, 2367, 267, 609, 2021, 1810, 940, 513, 1114, 28630, 1572, 519, 588, 7637, 563, 23777, 1227, 267, 519, 547, 8615, 729, 12816, 936, 513, 7113, 545, 269, 3509, 14564, 5249, 538, 741, 7113, 923, 267, 1152, 8380, 593, 513, 547, 8615, 950, 14538, 7902, 610, 789, 1185, 547, 979, 856, 538, 1857, 269, 898, 729, 811, 982, 1175, 606, 936, 3258, 618, 281, 621, 729, 849, 513, 3090, 540, 4936, 15114, 269, 8307, 2407, 4961, 1223, 5957, 835, 267, 609, 10437, 543, 608, 3796, 12561, 824, 23157, 269, 570, 30757, 2968, 513, 2707, 540, 11348, 543, 8956, 585, 741, 649, 31600, 607, 513, 1267, 563, 7212, 1082, 1004, 3100, 547, 1589, 602, 547, 326, 553, 941, 3274, 1500, 689, 3043, 610, 796, 1076, 3737, 15144, 267, 789, 2965, 3357, 538, 513, 2039, 540, 6163, 269, 634, 547, 8615, 7485, 320, 267, 513, 4158, 547, 8615, 267, 729, 12816, 607, 513, 1129, 540, 31366, 267, 543, 3006, 607, 513, 1129, 540, 13889, 267, 607, 1134, 269, 8479, 2367, 20595, 3283, 609, 26145, 267, 1247, 10457, 585, 1857, 5604, 7328, 539, 513, 31394, 3043, 547, 8615, 4796, 5866, 269, 1358, 1223, 849, 581, 3638, 569, 25918, 1229, 543, 15022, 3512, 539, 563, 6624, 8747, 666, 581, 2938, 538, 1568, 540, 4936, 1148, 593, 4159, 538, 15882, 269, 1744, 17369, 31991, 24319, 949, 581, 2111, 547, 4063, 7648, 593, 2511, 543, 546, 1905, 532, 538, 1114, 5712, 540, 4936, 1686, 269, 1325, 553, 267, 3604, 538, 2511, 1063, 1514, 5049, 723, 711, 1044, 607, 1134, 12873, 267, 2094, 2539, 11665, 14564, 941, 711, 2356, 13269, 538, 10367, 543, 1286, 19133, 563, 1607, 28630, 814, 1044, 7550, 538, 519, 968, 339, 7541, 6105, 892, 4371, 676, 930, 2852, 9992, 15715, 885, 543, 824, 3906, 269, 634, 8747, 540, 519, 28630, 12816, 676, 5428, 28752, 616, 3833, 1114, 689, 519, 3312, 4936, 4528, 267, 2705, 267, 1373, 811, 17426, 543, 3622, 811, 13031, 563, 1692, 798, 594, 1118, 513, 547, 8615, 286, 1684, 594, 1175, 16833, 513, 6656, 1472, 8885, 610, 798, 594, 991, 547, 7369, 621, 538, 930, 1259, 286, 4746, 267, 1018, 798, 596, 946, 547, 3180, 621, 593, 596, 888, 296, 4682, 998, 2185, 1296, 540, 2852, 693, 513, 2462, 1153, 543, 1185, 513, 1390, 942, 267, 782, 519, 2462, 2852, 6105, 602, 596, 1131, 2503, 269, 1809, 594, 2760, 4682, 547, 513, 547, 8615, 5428, 269, 1306, 2484, 607, 594, 917, 972, 2760, 729, 835, 563, 288, 851, 540, 803, 568, 513, 2370, 25922, 269, 634, 547, 8615, 5428, 568, 9277, 547, 581, 835, 540, 1346, 11599, 1919, 267, 4440, 2479, 2094, 10960, 5600, 3357, 856, 269, 1809, 594, 2760, 4682, 547, 835, 269, 589, 851, 540, 803, 7959, 899, 594, 14406, 856, 563, 296, 993, 3206, 540, 9849, 513, 547, 8615, 713, 1032, 585, 19343, 269, 594, 993, 711, 3833, 2386, 1018, 594, 993, 2469, 547, 2161, 602, 594, 993, 1498, 269, 589, 4936, 17199, 286, 1323, 14890, 286, 9320, 513, 2489, 24158, 540, 9174, 543, 5789, 337, 2939, 286, 22682, 594, 723, 5079, 563, 2005, 568, 2731, 1175, 606, 2653, 28076, 2856, 602, 594, 666, 627, 760, 909, 693, 519, 2063, 8792, 269, 594, 2141, 798, 713, 267, 7227, 11489, 1318, 1354, 19343, 1354, 8380, 1945, 1927, 563, 8070, 707, 8292, 0, 7093, 6768, 547, 17547, 1879, 28691, 616, 4469, 4770, 454, 2691, 1250, 4651, 2987, 25237, 689, 20563, 10272, 721, 1934, 538, 645, 5861, 269, 1296, 3516, 646, 729, 24330, 609, 519, 2856, 540, 519, 16841, 1129, 609, 1166, 4770, 993, 828, 8279, 6825, 16259, 547, 17547, 1991, 547, 5365, 1242, 28963, 269, 1261, 2219, 602, 891, 4191, 1500, 621, 1454, 4443, 585, 519, 9920, 547, 5965, 585, 513, 2922, 3247, 538, 4434, 540, 519, 5365, 4657, 547, 2699, 269, 2311, 602, 942, 713, 1826, 540, 5365, 729, 711, 1031, 1141, 646, 5030, 563, 24137, 4464, 547, 2221, 543, 25562, 12134, 968, 2691, 707, 1769, 568, 3039, 593, 519, 19814, 855, 1657, 596, 519, 16841, 9963, 8279, 723, 1175, 13175, 1058, 596, 581, 29584, 593, 513, 3039, 1769, 18313, 763, 6258, 547, 20000, 12829, 8261, 9388, 609, 713, 676, 9306, 513, 4605, 540, 519, 5365, 543, 7114, 621, 609, 968, 14294, 531, 8279, 6619, 1107, 5965, 547, 3247, 950, 8279, 616, 1166, 4770, 892, 593, 2985, 476, 3451, 269, 1703, 568, 1100, 16315, 2016, 827, 519, 1533, 540, 519, 6808, 8279, 693, 519, 10167, 6619, 563, 288, 5835, 1769, 11148, 547, 581, 9228, 676, 10256, 607, 513, 13657, 776, 16315, 602, 789, 949, 2901, 2628, 3007, 547, 610, 11716, 4470, 593, 741, 1995, 543, 519, 4155, 2175, 693, 519, 942, 269, 901, 568, 3622, 3020, 950, 519, 5835, 1769, 568, 1166, 4770, 269, 634, 16359, 27990, 2920, 6645, 721, 602, 519, 9920, 540, 513, 6174, 6849, 519, 30303, 540, 5835, 1769, 949, 2014, 621, 547, 4283, 519, 10167, 543, 8399, 1152, 609, 13657, 267, 855, 1590, 6556, 519, 1318, 540, 1259, 547, 19516, 20379, 1876, 2685, 538, 519, 10167, 610, 606, 11105, 3444, 19769, 563, 4913, 267, 513, 4396, 5835, 1769, 693, 606, 10167, 6645, 513, 9920, 547, 3247, 269, 1703, 568, 835, 9868, 547, 713, 4341, 543, 602, 568, 950, 16069, 585, 519, 5835, 1769, 3112, 581, 2944, 9108, 269, 6201, 540, 22247, 3871, 1131, 1331, 1373, 1932, 2673, 547, 519, 10167, 950, 519, 5835, 1769, 32514, 919, 610, 950, 596, 616, 1373, 4553, 1932, 5702, 676, 1776, 6174, 563, 298, 622, 779, 2243, 2731, 814, 1079, 2694, 267, 519, 1166, 4770, 5835, 8279, 543, 519, 3039, 1769, 693, 519, 10167, 269, 1306, 596, 1935, 519, 10167, 267, 596, 3068, 519, 16841, 9963, 1769, 1101, 543, 519, 10167, 5365, 2034, 269, 1411, 616, 2838, 547, 1491, 1142, 5365, 883, 2272, 607, 596, 1935, 621, 267, 865, 519, 3039, 1769, 3085, 1406, 1404, 1022, 851, 538, 519, 3830, 2394, 1310, 596, 723, 5293, 519, 5835, 1166, 4770, 8279, 563, 763, 16841, 9963, 8279, 616, 31764, 971, 602, 513, 9920, 16042, 873, 949, 1294, 873, 22113, 543, 917, 602, 519, 3039, 1769, 6619, 786, 581, 5835, 950, 789, 1205, 547, 519, 10167, 269, 634, 9920, 786, 581, 2838, 547, 3247, 543, 723, 519, 942, 547, 8275, 621, 267, 5965, 543, 2097, 547, 513, 6899, 3247, 1354, 519, 3444, 19769, 563, 763, 1062, 568, 513, 1434, 835, 952, 596, 616, 711, 519, 1101, 9920, 538, 1899, 950, 519, 1166, 4770, 5835, 8279, 2097, 593, 269, 1411, 917, 602, 519, 9920, 538, 4395, 540, 596, 1058, 3247, 267, 865, 596, 5965, 547, 3247, 1932, 269, 7427, 519, 6296, 543, 596, 786, 581, 693, 513, 4389, 1981, 585, 16580, 1317, 519, 1101, 9920, 568, 1447, 2693, 547, 20347, 10393, 607, 789, 1522, 581, 609, 513, 5835, 610, 2699, 1769, 4805, 563, 2691, 594, 1031, 606, 796, 5658, 539, 1286, 585, 6808, 11268, 594, 1131, 4585, 519, 16841, 8279, 2097, 593, 267, 3500, 547, 513, 3247, 543, 1419, 19044, 519, 9920, 3297, 803, 538, 519, 824, 26738, 945, 6926, 342, 998, 1510, 16069, 269, 634, 16324, 5126, 538, 6808, 5480, 729, 6899, 20903, 532, 602, 9920, 609, 1152, 891, 6381, 563, 296, 666, 1589, 540, 476, 274, 3156, 1141, 713, 568, 1031, 563, 1103, 1250, 1995, 267, 891, 3457, 949, 581, 8246, 912, 306, 2775, 569, 1055, 2389, 8084, 267, 855, 1644, 282, 621, 781, 2186, 540, 27337, 4328, 547, 1294, 875, 1082, 10256, 267, 16042, 606, 10167, 1141, 513, 1166, 4770, 3039, 15561, 630, 785, 21899, 513, 6870, 2490, 264, 786, 2965, 3432, 909, 950, 621, 3587, 606, 993, 828, 15561, 1256, 1498, 789, 1223, 723, 11074, 3362, 282, 713, 568, 519, 2186, 540, 7180, 602, 12662, 19516, 20379, 32261, 741, 1412, 310, 1779, 262, 5365, 693, 5458, 1981, 563, 4322, 4191, 1118, 803, 1745, 3636, 543, 27967, 910, 607, 952, 594, 666, 2995, 519, 2104, 256, 7102, 4143, 1344, 593, 519, 4155, 568, 2141, 10950, 267, 543, 8380, 873, 593, 9897, 602, 616, 11540, 2362, 982, 476, 2004, 14790, 10774, 855, 1869, 723, 2666, 1377, 28963, 568, 1360, 3730, 563, 3080, 3364, 594, 723, 547, 4063, 568, 519, 12557, 540, 891, 12545, 666, 4268, 689, 1747, 547, 1747, 267, 609, 930, 14626, 4575, 609, 519, 3432, 3970, 543, 930, 9583, 24584, 6808, 547, 581, 5488, 982, 519, 11540, 3970, 269, 1924, 538, 930, 2665, 950, 596, 616, 2469, 476, 2004, 268, 3583, 8726, 621, 949, 581, 543, 596, 1780, 519, 1129, 1175, 607, 621, 6238, 1166, 4770, 910, 952, 596, 616, 2469, 519, 3432, 3970, 267, 519, 10167, 786, 2490, 5835, 1287, 2699, 1175, 607, 596, 1935, 269, 1656, 930, 786, 8755, 267, 855, 676, 519, 942, 596, 1205, 972, 519, 10167, 568, 1869, 3039, 543, 1780, 762, 563, 1103, 971, 2665, 540, 16789, 12557, 513, 7678, 19674, 1851, 1346, 10256, 602, 616, 5432, 609, 519, 10167, 910, 789, 3432, 909, 1657, 519, 11540, 3970, 547, 1118, 2386, 789, 1205, 998, 267, 3006, 14964, 1932, 2673, 547, 519, 536, 32658, 540, 519, 1286, 6619, 269, 634, 1166, 4770, 1129, 6238, 547, 581, 9228, 607, 513, 834, 14588, 539, 5346, 596, 3500, 1790, 5803, 257, 1769, 538, 1346, 28963, 267, 543, 3976, 594, 1589, 782, 540, 971, 4191, 991, 547, 581, 31764, 1360, 7453, 543, 7833, 547, 519, 11540, 3970, 610, 1256, 1447, 910, 865, 602, 950, 922, 1166, 4770, 10256, 723, 513, 5812, 20772, 547, 3247, 269, 0, 19770, 23384, 922, 1034, 12638, 748, 26380, 1063, 476, 4198, 279, 543, 476, 3422, 273, 269, 4014, 513, 15295, 5912, 689, 519, 24781, 547, 519, 4872, 729, 538, 922, 2038, 3942, 543, 14407, 6469, 1587, 630, 294, 7894, 264, 829, 21027, 729, 1851, 519, 9803, 538, 519, 1158, 267, 6662, 2175, 941, 2484, 1447, 23801, 982, 4457, 19797, 9549, 630, 6717, 303, 264, 4507, 538, 8744, 827, 519, 26380, 269, 589, 1646, 4640, 23652, 593, 519, 8168, 2203, 7957, 10696, 2656, 22713, 693, 519, 13258, 540, 6917, 17743, 619, 269, 6270, 3209, 2906, 607, 1004, 779, 1209, 525, 267, 18497, 524, 14397, 839, 267, 543, 18147, 7677, 2167, 2417, 24395, 730, 519, 26380, 269, 9282, 6803, 18441, 6719, 1152, 476, 277, 2600, 540, 3624, 779, 2551, 267, 3379, 547, 17288, 5498, 1597, 2600, 538, 519, 8168, 5742, 267, 8168, 22874, 4507, 8185, 6766, 1346, 540, 3624, 269, 21231, 7646, 267, 2523, 585, 17230, 753, 267, 4457, 22874, 4507, 2968, 811, 28974, 609, 519, 4417, 540, 519, 4279, 2274, 777, 28644, 538, 476, 4198, 279, 269, 29305, 327, 2967, 17230, 753, 5706, 539, 519, 19479, 540, 1082, 20708, 625, 282, 1287, 519, 1482, 4507, 267, 543, 26380, 3294, 267, 3361, 513, 811, 1271, 18326, 538, 476, 4198, 280, 538, 2473, 714, 836, 630, 307, 15785, 1040, 3115, 1833, 543, 519, 8184, 540, 519, 18243, 2967, 700, 4821, 547, 7187, 3127, 14626, 3660, 609, 519, 1439, 540, 17230, 779, 2027, 4567, 538, 3624, 563, 1103, 4156, 19525, 1705, 711, 267, 2705, 267, 24395, 622, 519, 1764, 540, 26380, 593, 3084, 18441, 538, 3624, 269, 4256, 2557, 540, 2551, 2208, 1063, 519, 1101, 1079, 18594, 4926, 630, 4198, 274, 543, 476, 2735, 273, 264, 25295, 602, 540, 12390, 4457, 269, 7324, 519, 16899, 1034, 16094, 4299, 676, 26380, 267, 1152, 29305 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 272, 1107, 9906, 814, 1558, 519, 4170, 540, 1152, 835, 540, 519, 1614, 7355, 3254, 1657, 585, 2221, 779, 1362, 454, 271, 910, 9906, 568, 12707, 335, 1563, 610, 2875, 814, 1044, 6569, 689, 519, 1362, 543, 11392, 4642, 2798, 585, 519, 1554, 781, 1362, 563, 30995, 15812, 532, 11270, 6103, 815, 11192, 2798, 12236, 1315, 11192, 2395, 540, 1362, 1535, 274, 269, 1133, 2181, 335, 1563, 281, 1323, 12707, 335, 1563, 815, 950, 513, 2875, 1281, 711, 1689, 585, 1362, 543, 1281, 711, 723, 513, 4570, 28195, 268, 12707, 335, 1563, 815, 476, 271, 454, 14187, 9939, 547, 3025, 267, 543, 723, 513, 1390, 1032, 2336, 257, 3722, 4753, 8976, 5990, 8863, 17920, 2894, 294, 2464, 267, 14298, 9358, 10790, 312, 30264, 5085, 5990, 12327, 295, 6579, 2752, 9569, 5508, 966, 2975, 307, 12088, 1701, 630, 14197, 6723, 590, 269, 4793, 2023, 994, 257, 2252, 22400, 645, 7495, 312, 24202, 10691, 681, 20846, 267, 5990, 681, 12239, 5508, 22400, 667, 17751, 654, 21135, 23184, 20231, 654, 305, 32670, 269, 25526, 17395, 595, 22664, 5508, 9358, 11965, 23852, 1701, 630, 309, 11482, 269, 1325, 710, 732, 264, 0, 1692, 547, 13760, 513, 476, 3192, 280, 4258, 11803, 4432, 595, 3133, 334, 16530, 12810, 454, 763, 4258, 11803, 4432, 595, 3133, 334, 568, 606, 11599, 11878, 267, 543, 922, 11443, 10244, 12582, 1405, 581, 15763, 269, 1306, 609, 1022, 5929, 1286, 267, 1620, 513, 476, 3192, 280, 4258, 11803, 4432, 595, 3133, 334, 11443, 6516, 568, 1898, 585, 4896, 16462, 547, 1118, 12381, 610, 18203, 547, 519, 6174, 269, 769, 713, 2376, 267, 649, 3513, 1491, 513, 1413, 693, 519, 9238, 540, 21264, 532, 513, 11443, 6516, 543, 519, 2609, 602, 1118, 909, 519, 6516, 563, 2691, 621, 2501, 547, 19620, 610, 22212, 513, 5929, 1286, 267, 1373, 2111, 547, 1224, 543, 1174, 513, 11443, 6516, 568, 513, 1590, 3620, 1511, 5578, 269, 589, 11443, 6516, 568, 513, 3308, 6041, 540, 519, 5122, 1062, 267, 799, 2982, 519, 3334, 540, 519, 1062, 543, 875, 789, 616, 4448, 269, 3958, 267, 11443, 12222, 666, 1683, 5813, 883, 875, 519, 1062, 1568, 267, 543, 1397, 799, 2694, 616, 2556, 585, 1978, 3252, 269, 4197, 513, 11443, 6516, 666, 4688, 942, 543, 2724, 267, 607, 621, 666, 948, 22942, 2042, 3533, 1510, 2348, 547, 10250, 11443, 2429, 519, 3003, 6174, 563, 15253, 7859, 540, 513, 16530, 12810, 454, 288, 11443, 6516, 5161, 540, 1896, 3334, 799, 616, 1031, 547, 2099, 519, 1114, 2694, 540, 519, 11443, 10244, 269, 15380, 267, 6698, 616, 1031, 547, 2099, 519, 1114, 3334, 543, 741, 4296, 267, 971, 607, 12904, 543, 28339, 269, 1452, 6698, 616, 5116, 593, 519, 6516, 538, 513, 9266, 1259, 267, 865, 602, 621, 781, 2653, 547, 1246, 519, 2619, 540, 11443, 689, 835, 5057, 547, 1776, 269, 3958, 267, 519, 6516, 786, 849, 1331, 5528, 543, 10297, 267, 799, 666, 581, 1031, 547, 2697, 519, 3334, 543, 741, 6753, 563, 2691, 621, 2501, 547, 21264, 532, 513, 11443, 6516, 267, 621, 781, 1271, 547, 24559, 3054, 609, 519, 4122, 1031, 6698, 543, 10297, 269, 901, 786, 948, 596, 3533, 2697, 519, 1114, 3334, 543, 741, 6753, 267, 4543, 596, 547, 22942, 1022, 1761, 2152, 563, 1103, 1840, 547, 6698, 267, 11443, 12222, 666, 849, 946, 2681, 8193, 547, 948, 2697, 12904, 543, 3334, 269, 7822, 8193, 2306, 621, 4443, 547, 1246, 519, 11443, 2619, 267, 607, 1142, 5911, 543, 27296, 568, 4857, 676, 922, 2681, 269, 901, 2337, 547, 3533, 2697, 1141, 1142, 5911, 4422, 543, 1018, 621, 568, 1031, 585, 269, 898, 849, 2337, 547, 2697, 1761, 2042, 267, 607, 1022, 7745, 610, 30890, 12904, 616, 3362, 7298, 563, 2691, 2542, 513, 11443, 6516, 267, 621, 781, 1271, 547, 2628, 2673, 3007, 547, 519, 2681, 8193, 269, 1403, 519, 4778, 1810, 1405, 6474, 909, 547, 519, 4890, 11443, 267, 621, 781, 2009, 602, 519, 11443, 814, 1044, 6404, 909, 267, 610, 602, 972, 568, 513, 1966, 609, 519, 11443, 3294, 563, 31010, 543, 24410, 7632, 327, 17415, 454, 8139, 513, 11443, 6516, 568, 1898, 585, 4896, 3168, 547, 1118, 18203, 610, 12381, 547, 741, 476, 3192, 280, 4258, 11803, 4432, 595, 3133, 334, 269, 898, 666, 948, 547, 3533, 12398, 1022, 7745, 610, 8697, 12904, 543, 3334, 267, 1247, 849, 4543, 547, 2697, 1022, 1761, 2042, 269, 3958, 267, 621, 666, 948, 547, 23676, 2393, 2152, 609, 519, 5122, 1062, 267, 607, 621, 2488, 5813, 883, 875, 519, 1062, 1568, 543, 799, 3334, 616, 2556, 585, 1978, 3252, 563, 3528, 5432, 1944, 3054, 609, 513, 11443, 6516, 267, 596, 666, 2327, 602, 707, 4432, 595, 3133, 334, 786, 723, 513, 6325, 5122, 1062, 585, 1296, 547, 2097, 269, 14171, 519, 942, 547, 5265, 2226, 519, 11443, 1062, 786, 948, 547, 1832, 707, 6174, 4881, 12347, 543, 28761, 563, 310, 3931, 30894, 12005, 324, 1203, 454, 27306, 573, 527, 476, 20542, 19740, 278, 8618, 277, 4201, 641, 997, 640, 454, 3422, 278, 4432, 595, 3133, 334, 16530, 12810, 454, 10267, 341, 549, 2280, 2961, 21584, 15015, 16530, 12810, 674, 5435, 32011, 667, 339, 322, 454, 27916, 641, 11301, 4675, 29736, 476, 14056, 3199, 16530, 4498, 1145, 525, 27169, 681, 5217, 454, 291, 727, 8752, 16530, 16110, 22427, 1188, 2037, 28387, 328, 6814, 1280, 4548, 454, 14976, 595, 3133, 334, 5422, 4498, 1145, 966, 279, 2060, 717, 879, 2471, 476, 2735, 272, 454, 3422, 275, 476, 3422, 278, 4258, 11803, 4432, 595, 3133, 334, 13571, 681, 792, 3213, 559, 3683, 1744, 1442, 13268, 720, 3213, 559, 1478, 14173, 454, 4281, 476, 6434, 5689, 756, 340, 4432, 595, 3133, 334, 20668, 454, 10267, 11803, 16530, 30894, 5131, 2246, 727, 2559, 545, 454, 296, 14348, 6145, 667, 1662, 18514, 12810, 1280, 476, 3192, 280, 4432, 322, 3133, 334, 454, 310, 3931, 30894, 476, 6795, 476, 2568, 476, 5038, 476, 6434, 4432, 595, 3133, 334, 6239, 17072, 454, 3192, 280, 4856, 557, 12076, 674, 2224, 13340, 4856, 557, 12076, 1721, 636, 4258, 341, 549, 2280, 17072, 17564, 454, 20360, 3333, 1752, 15261, 704, 16530, 12810, 717, 7853, 1721, 636, 476, 3192, 279, 476, 2735, 279, 4937, 7763, 832, 589, 717, 10610, 7991, 454, 294, 332, 589, 1729, 13910, 674, 2224, 13332, 454, 3192, 280, 2353, 24439, 17738, 20668, 476, 16318, 4037, 331, 6682, 16619, 476, 1556, 2473, 476, 1704, 9509, 7822, 700, 3133, 730, 16530, 12810, 25839, 24322, 454, 21446, 1807, 16530, 18378, 634, 476, 3707, 278, 10558, 4258, 341, 549, 2280, 717, 32508, 22427, 1188, 24606, 8274, 8416, 454, 3192, 276, 476, 3192, 280, 4258, 11803, 25429, 674, 2224, 13340, 12810, 454, 20360, 9917, 843, 15261, 704, 16359, 0, 763, 3328, 1268, 786, 9376, 741, 2777, 1354, 789, 4734, 585, 519, 1554, 543, 930, 949, 723, 1753, 15372, 1949, 267, 855, 711, 2322, 1022, 3063, 2219, 883, 875, 789, 2149, 2933, 543, 741, 1344, 2228, 610, 1256, 875, 1271, 621, 568, 269, 594, 993, 5466, 519, 3390, 540, 3354, 593, 519, 4950, 267, 610, 595, 312, 289, 8991, 4488, 7838, 14510, 1317, 1344, 568, 4502, 811, 982, 4154, 855, 1034, 540, 721, 798, 4986, 547, 2149, 938, 1378, 1344, 563, 10574, 9198, 730, 519, 8779, 543, 1215, 10705, 621, 568, 853, 18036, 454, 1692, 3407, 568, 707, 1239, 888, 24109, 528, 568, 2141, 1104, 267, 855, 519, 4605, 568, 3020, 269, 3143, 2339, 1018, 649, 798, 547, 5965, 938, 1949, 267, 649, 607, 519, 3755, 616, 519, 1034, 1271, 851, 538, 7863, 6000, 676, 15388, 2922, 2853, 563, 28490, 596, 6108, 811, 593, 6995, 982, 593, 8668, 3354, 267, 596, 786, 581, 11360, 539, 269, 1548, 779, 811, 267, 596, 17330, 547, 581, 11360, 539, 7536, 587, 499, 9400, 22548, 651, 2108, 10521, 1919, 827, 519, 715, 6347, 588, 684, 2740, 803, 1318, 1055, 519, 10627, 281, 875, 1099, 10999, 10427, 621, 729, 3379, 609, 519, 31835, 267, 543, 875, 1454, 1447, 21713, 621, 729, 827, 3354, 538, 922, 1169, 21767, 267, 689, 519, 26654, 531, 1436, 540, 1344, 547, 1239, 14238, 3034, 587, 499, 11977, 16176, 6577, 454, 25215, 976, 1043, 13756, 585, 4635, 519, 5769, 454, 296, 4126, 596, 1745, 966, 7419, 2207, 21764, 454, 763, 1344, 4843, 1058, 1118, 596, 1745, 4376, 855, 6899, 269, 16270, 15388, 875, 1419, 6880, 6285, 4755, 267, 875, 14427, 789, 1831, 267, 543, 875, 7839, 6880, 6760, 814, 1831, 1058, 581, 513, 12687, 5346, 1289, 585, 782, 540, 721, 602, 1945, 2115, 547, 581, 2944, 8335, 563, 296, 8885, 729, 2899, 513, 2241, 2023, 267, 596, 616, 4440, 616, 849, 513, 8284, 2241, 2023, 269, 1284, 616, 2241, 1004, 267, 945, 723, 3972, 532, 4950, 2853, 543, 1100, 23640, 1996, 1004, 945, 6999, 547, 798, 4636, 269, 1703, 2760, 538, 1250, 1272, 814, 2479, 1044, 513, 2601, 585, 803, 547, 1256, 1589, 602, 594, 2877, 547, 2149, 8885, 2228, 543, 1250, 3804, 729, 547, 1689, 707, 1259, 540, 3206, 543, 2285, 596, 930, 4128, 607, 547, 1946, 621, 568, 1271, 269, 2060, 938, 2486, 3001, 547, 1831, 811, 882, 5050, 2390, 519, 4950, 649, 991, 547, 1174, 602, 4950, 6937, 616, 1483, 267, 789, 4755, 547, 6608, 945, 2777, 744, 7838, 1239, 267, 14078, 945, 2777, 744, 7838, 1239, 267, 543, 1004, 267, 1175, 899, 596, 543, 594, 267, 945, 798, 31945, 1919, 899, 4945, 593, 6402, 602, 649, 1058, 917, 616, 19847, 269, 6875, 713, 5239, 547, 13599, 3054, 593, 519, 4220, 540, 1373, 593, 519, 4950, 543, 1018, 596, 666, 798, 547, 2061, 873, 563, 10574, 8550, 12619, 338, 476, 276, 269, 271, 454, 13563, 14992, 14559, 6170, 593, 1239, 454, 301, 6195, 5240, 4578, 6601, 778, 9623, 454, 25215, 976, 1043, 13756, 13340, 0, 307, 8922, 874, 5398, 4400, 12140, 723, 7153, 607, 6422, 32387, 540, 2069, 5647, 267, 5356, 1053, 519, 4316, 547, 25793, 1662, 741, 2407, 1761, 269, 1452, 5238, 6536, 606, 1604, 602, 3922, 3278, 25191, 1565, 267, 3309, 3450, 2409, 267, 543, 2146, 6278, 269, 769, 713, 2376, 267, 649, 786, 2263, 875, 570, 8922, 874, 5398, 4400, 12140, 20741, 13007, 543, 7668, 1053, 547, 14133, 27268, 267, 13948, 267, 543, 24015, 563, 3080, 540, 519, 4909, 2081, 538, 799, 570, 8922, 874, 5398, 4400, 12140, 20741, 13007, 568, 998, 25191, 1565, 269, 9521, 2757, 1857, 3506, 267, 1347, 1562, 723, 519, 8112, 547, 20688, 741, 6437, 547, 2743, 519, 2189, 2115, 540, 1142, 2875, 269, 901, 10531, 1935, 2636, 7855, 547, 2697, 543, 11349, 519, 9342, 543, 4690, 540, 1142, 2875, 267, 2870, 606, 1604, 1141, 13007, 666, 21707, 269, 769, 513, 570, 8922, 874, 5398, 4400, 3427, 267, 513, 2875, 945, 608, 26118, 538, 6128, 666, 1569, 4359, 17440, 267, 1247, 1776, 945, 568, 13730, 827, 519, 6575, 666, 2263, 7463, 3292, 269, 901, 29356, 7512, 1053, 547, 9784, 741, 15421, 267, 3056, 547, 4824, 1582, 12635, 543, 513, 3152, 2631, 540, 3483, 538, 741, 2069, 563, 291, 5744, 9752, 10613, 912, 307, 8922, 874, 5398, 4400, 12140, 616, 849, 1634, 585, 741, 5499, 3450, 2409, 269, 30451, 538, 891, 5238, 723, 519, 5191, 547, 4603, 609, 1114, 4485, 267, 6220, 1788, 2861, 1565, 267, 2029, 5610, 267, 543, 23913, 2069, 883, 741, 13460, 269, 901, 4763, 538, 3450, 2409, 5849, 602, 1053, 616, 6534, 547, 513, 2647, 2039, 540, 1565, 2833, 267, 4543, 873, 3605, 543, 1020, 741, 2189, 15421, 269, 1280, 1383, 267, 513, 22497, 1153, 1522, 2709, 6030, 538, 20835, 267, 3850, 1053, 547, 2263, 741, 1870, 1035, 18210, 543, 5876, 269, 6271, 22497, 1153, 1522, 4225, 9205, 2069, 267, 3246, 1053, 609, 3255, 547, 1020, 5718, 1983, 543, 513, 2648, 585, 519, 1604, 269, 1452, 9867, 3450, 2409, 8300, 1053, 547, 1589, 3544, 519, 4216, 543, 7148, 883, 741, 2407, 1761, 563, 307, 8922, 874, 5398, 4400, 12140, 1419, 6536, 513, 2178, 2631, 540, 2146, 6278, 269, 1358, 5000, 1053, 547, 1921, 609, 741, 2199, 2950, 998, 3028, 1565, 267, 22631, 4721, 267, 543, 12352, 609, 2199, 3906, 269, 901, 9525, 711, 1152, 3376, 839, 1053, 685, 20030, 855, 849, 2337, 873, 3605, 875, 741, 15421, 666, 581, 4294, 547, 1483, 8996, 2042, 269, 7991, 6278, 849, 11498, 547, 519, 1153, 3294, 267, 1141, 3237, 267, 3610, 267, 543, 16984, 960, 1927, 547, 1711, 513, 11215, 543, 14637, 1604, 269, 901, 5698, 5849, 602, 1053, 4309, 519, 5583, 543, 2200, 789, 991, 547, 14133, 538, 741, 6074, 4610, 563, 31955, 543, 19396, 3367, 1465, 912, 307, 8922, 874, 5398, 4400, 12140, 4225 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 824, 835, 568, 1932, 780, 2080, 568, 513, 4341, 540, 14853, 1384, 306, 599, 594, 723, 513, 3948, 594, 1616, 547, 6961, 267, 2161, 1945, 540, 519, 3337, 1269, 288, 315, 574, 18680, 645, 16859, 2252, 594, 1616, 547, 6961, 621, 676, 27171, 267, 594, 2356, 8263, 602, 1269, 288, 259, 568, 3020, 267, 543, 602, 1269, 289, 259, 568, 711, 3020, 267, 543, 1287, 12446, 547, 513, 27171, 780, 4913, 267, 621, 568, 1287, 513, 1434, 2856, 547, 1413, 693, 707, 6169, 1586, 543, 2307, 3054, 1384, 3674, 519, 6169, 676, 27171, 2731, 683, 806, 776, 2496, 2690, 1383, 267, 3006, 267, 707, 6169, 5654, 1945, 899, 713, 1384, 1892, 2913, 781, 8263, 1269, 288, 259, 568, 3020, 563, 1892, 2913, 781, 8263, 602, 4399, 10864, 645, 259, 568, 3020, 563, 1892, 3973, 267, 1317, 630, 338, 558, 996, 902, 15036, 1070, 543, 4061, 267, 1269, 289, 259, 568, 3020, 563, 1892, 1809, 2094, 4399, 10864, 645, 259, 568, 849, 3020, 267, 602, 568, 513, 27171, 563, 1892, 4475, 267, 1269, 289, 259, 568, 3020, 563, 1892, 1924, 267, 1269, 288, 315, 574, 18680, 645, 259, 568, 3020, 780, 3086, 267, 952, 519, 1474, 996, 902, 15036, 1281, 711, 2270, 1022, 4704, 547, 4399, 10864, 645, 8961, 610, 666, 581, 8810, 1256, 952, 4399, 10864, 645, 259, 568, 711, 3020, 267, 1287, 10416, 267, 519, 6169, 666, 581, 4389, 547, 281, 910, 2913, 781, 8263, 1269, 288, 259, 568, 3020, 910, 3973, 267, 1474, 996, 902, 15036, 267, 543, 4061, 267, 1269, 289, 259, 568, 3020, 269, 910, 1924, 267, 1269, 288, 315, 574, 18680, 645, 259, 568, 3020, 692, 6518, 568, 1454, 811, 17715, 780, 1892, 594, 6415, 11821, 676, 1018, 596, 616, 3843, 547, 2161, 269, 2311, 1101, 267, 596, 1767, 1250, 6169, 568, 1434, 267, 18327, 1018, 729, 4280, 267, 543, 814, 1100, 9266, 20924, 269, 3973, 267, 621, 4667, 602, 596, 616, 6031, 621, 4769, 1405, 6961, 1018, 2877, 547, 581, 9863, 269, 2107, 798, 596, 1175, 1611, 602, 621, 729, 513, 1360, 28537, 267, 13546, 5586, 656, 1259, 540, 18445, 621, 286, 1107, 1109, 290, 615, 787, 318, 14946, 518, 4239, 476, 2641, 1412, 1428, 693, 476, 2641, 281, 7906, 454, 1892, 7711, 290, 615, 787, 318, 14946, 518, 7316, 267, 4010, 267, 1705, 594, 2161, 602, 621, 1705, 711, 6961, 1018, 2877, 547, 581, 9863, 286, 1107, 1109, 276, 343, 636, 4239, 476, 2641, 1412, 1428, 693, 476, 2420, 281, 4905, 454, 1892, 7711, 290, 615, 787, 318, 14946, 518, 594, 1767, 267, 543, 594, 10839, 267, 2334, 1767, 267, 519, 6169, 568, 936, 1260, 6088, 907, 2334, 1281, 711, 1611, 519, 6169, 568, 4636, 269, 898, 1175, 1797, 602, 596, 6170, 476, 273, 3817, 547, 6961, 1945, 602, 666, 581, 8810, 538, 476, 276, 9343, 267, 543, 519, 476, 276, 4737, 6169, 568, 1454, 4443, 547, 1246, 267, 543, 849, 4443, 547, 1174, 269, 1107, 1109, 276, 343, 636, 4239, 476, 2641, 1412, 1428, 693, 476, 2420, 281, 6734, 454, 1892, 7711, 290, 615, 787, 318, 14946, 518, 23010, 269, 1809, 602, 1797, 602, 621, 849, 9863, 519, 3948, 596, 1589, 621, 9863, 269, 5221, 519, 3948, 596, 3409, 729, 8810, 568, 21260, 982, 519, 3948, 596, 2965, 9863, 269, 1107, 1109, 276, 343, 636, 4239, 476, 2641, 1412, 1428, 693, 476, 2420, 281, 6860, 454, 1892, 11289, 596, 585, 5587, 4328, 269, 594, 6415, 2469, 547, 3207, 593, 713, 543, 1287, 594, 786, 2132, 547, 2490, 602, 1395, 560, 4592, 640, 883, 513, 811, 3608, 267, 543, 17715, 6169, 269, 16593, 2685, 267, 609, 707, 5583, 269, 1107, 1109, 290, 615, 787, 318, 14946, 518, 4239, 476, 2641, 1412, 1428, 693, 476, 2420, 281, 4962, 692, 763, 1101, 851, 540, 707, 6169, 568, 602, 1269, 343, 318, 272, 21147, 318, 273, 15871, 321, 21669, 259, 543, 267, 689, 519, 7084, 1257, 267, 594, 1589, 596, 1810, 1405, 991, 621, 267, 1317, 1269, 343, 318, 272, 21147, 318, 273, 15871, 321, 21669, 259, 568, 835, 540, 22870, 11726, 974, 779, 12596, 780, 4002, 519, 824, 1688, 267, 519, 4661, 568, 2953, 780, 2690, 519, 1292, 851, 596, 2811, 3257, 1932, 1454, 960, 780, 5575, 4063, 602, 267, 2094, 1269, 320, 14720, 22698, 22174, 315, 13992, 346, 304, 4151, 676, 13429, 267, 849, 1269, 268, 321, 21669, 22174, 315, 13992, 346, 304, 31859, 7712, 1269, 343, 318, 273, 284, 8987, 321, 21669, 9984, 343, 318, 272, 259, 543, 1269, 343, 318, 272, 284, 8987, 321, 21669, 9984, 343, 318, 273, 8961, 676, 22870, 11726, 974, 779, 4542, 10484, 1892, 952, 1269, 343, 318, 272, 22174, 315, 13992, 346, 304, 20954, 1287, 1269, 343, 318, 273, 284, 8987, 321, 21669, 9984, 343, 318, 272, 22174, 315, 13992, 346, 304, 21456, 1892, 952, 1269, 343, 318, 273, 22174, 315, 13992, 346, 304, 20954, 1287, 1269, 343, 318, 272, 284, 8987, 321, 21669, 9984, 343, 318, 273, 22174, 315, 13992, 346, 304, 10592, 1607, 1175, 3096, 519, 12980, 3601, 540, 4399, 13992, 346, 304, 31859, 1892, 1924, 1175, 8263, 519, 1249, 602, 1269, 16884, 1341, 1535, 815, 7787, 259, 2141, 1797, 602, 1269, 343, 259, 786, 581, 7787, 286, 1107, 1109, 290, 615, 787, 318, 14946, 518, 4239, 476, 2537, 1412, 1428, 693, 476, 1015, 281, 6872, 454, 1892, 7711, 290, 615, 787, 318, 14946, 518, 3143, 267, 594, 946, 519, 1249, 602, 7787, 266, 16884, 284, 16884, 269, 1107, 1109, 1122, 2958, 4239, 476, 2537, 1412, 1428, 693, 476, 1015, 281, 6812, 454, 1892, 27355, 1405, 602, 519, 1482, 3364, 602, 594, 5921, 286, 594, 5921, 602, 950, 596, 1039, 513, 1297, 547, 513, 7787, 1297, 267, 543, 519, 1267, 568, 7787, 267, 519, 1297, 596, 3773, 1590, 723, 1044, 7787, 269, 1107, 1109, 290, 615, 787, 318, 14946, 518, 4239, 476, 2537, 1412, 1428, 693, 476, 1556, 281, 6860, 454, 1892, 7711, 290, 615, 787, 318, 14946, 518, 594, 729, 538, 513, 31657, 267, 950, 17511, 538, 1250, 3105, 6085, 269, 11569, 267, 519, 1079, 30422, 616, 6697, 267, 855, 519, 1463, 835, 568, 4443, 547, 946, 269, 1107, 1109, 1122, 2958, 4239, 476, 2537, 1412, 1428, 693, 476, 1556, 281, 4391, 0, 258, 1261, 343, 21192, 18158, 692, 8923, 5173, 519, 4463, 540, 513, 2834, 15279, 21192, 18158, 609, 513, 3490, 6316, 540, 476, 276, 9492, 543, 513, 3774, 4463, 540, 530, 815, 476, 736, 9492, 269, 7490, 17250, 513, 4605, 780, 4910, 738, 692, 327, 815, 476, 1109, 866, 269, 276, 2918, 4699, 692, 2971, 8827, 1384, 259, 320, 815, 476, 276, 1422, 4699, 1422, 8607, 530, 815, 476, 736, 1422, 4699, 1422, 8607, 678, 815, 513, 815, 476, 276, 815, 476, 276, 1422, 4699, 1422, 8607, 1422, 8607, 521, 317, 273, 815, 630, 320, 270, 273, 8203, 273, 1341, 530, 317, 273, 1422, 8607, 521, 815, 1422, 6912, 346, 630, 320, 270, 273, 8203, 273, 1341, 530, 317, 273, 7684, 815, 1422, 6912, 346, 630, 276, 270, 273, 8203, 273, 1341, 476, 736, 317, 273, 7684, 1422, 323, 1774, 336, 476, 736, 269, 14028, 277, 1422, 4699, 1422, 8607, 1422, 8607, 521, 317, 273, 815, 678, 317, 273, 1341, 554, 317, 273, 1422, 8607, 1422, 8607, 554, 815, 1422, 6912, 346, 521, 317, 273, 8573, 317, 273, 7684, 815, 1422, 6912, 346, 476, 736, 269, 14028, 277, 317, 273, 268, 276, 317, 273, 7684, 1422, 323, 1774, 336, 476, 866, 269, 30589, 277, 815, 476, 866, 269, 276, 2918, 1422, 1422, 3667, 346, 4699, 476, 10592, 5978, 1806, 941, 7361, 2366, 610, 2813, 676, 10453, 543, 1053, 2933, 269, 4475, 267, 649, 1131, 581, 20938, 952, 596, 1223, 6494, 721, 1022, 6959, 596, 1336, 267, 10259, 9073, 267, 610, 556, 874, 2084, 519, 1383, 269, 11289, 596, 2439, 32306, 721, 513, 6085, 540, 713, 2979, 1966, 543, 922, 3070, 630, 328, 4318, 269, 952, 621, 568, 1869, 10169, 15458, 1862, 17107, 6826, 519, 1101, 547, 6085, 2439, 19522, 547, 1644, 2228, 26732, 454, 303, 17233, 17671, 11532, 568, 519, 3490, 585, 519, 1318, 6906, 9498, 780, 1012, 8921, 2147, 2979, 2042, 1384, 272, 269, 1261, 343, 6782, 454, 24280, 519, 2627, 540, 513, 2834, 15279, 21192, 24388, 4171, 3490, 6316, 513, 815, 476, 1321, 9492, 543, 2427, 6316, 536, 815, 476, 274, 546, 332, 563, 273, 269, 4239, 21192, 18158, 454, 8340, 519, 4320, 540, 513, 2834, 12354, 21192, 18158, 609, 4463, 642, 815, 476, 1911, 543, 519, 5086, 540, 519, 2427, 6316, 609, 519, 7077, 540, 519, 3490, 568, 14668, 815, 476, 2568, 4113, 563, 274, 269, 570, 25523, 14366, 18158, 454, 29991, 519, 2627, 540, 513, 2834, 25543, 14366, 18158, 950, 922, 4320, 568, 966, 815, 476, 6344, 543, 519, 5086, 540, 519, 2427, 13665, 609, 519, 3490, 7077, 568, 14668, 815, 476, 5655, 4113, 476, 1789, 21485, 563, 275, 269, 589, 20473, 454, 288, 10760, 20473, 6322, 519, 1858, 585, 606, 4056, 269, 1261, 3576, 1055, 13902, 569, 689, 1448, 595, 547, 1448, 667, 269, 1261, 729, 693, 513, 4463, 540, 476, 4968, 544, 1657, 519, 7077, 540, 13235, 269, 634, 20473, 689, 1448, 667, 11329, 693, 513, 645, 17584, 5086, 540, 476, 6246, 4113, 269, 12433, 519, 3845, 1063, 2798, 595, 543, 645, 538, 454, 276, 269, 595, 821, 2427, 454, 24280, 519, 4320, 543, 1858, 540, 519, 13409, 4171, 4463, 568, 476, 1015, 4699, 543, 519, 30212, 3296, 540, 519, 13409, 814, 606, 5086, 540, 476, 1789, 5232, 1063, 4463, 543, 519, 13409, 2427, 563, 277, 269, 8422, 19320, 454, 763, 14622, 540, 606, 31164, 6906, 9114, 593, 476, 274, 1114, 6252, 3515, 269, 634, 1647, 1899, 568, 476, 276, 544, 543, 476, 274, 544, 11397, 689, 519, 1439, 3515, 269, 12433, 519, 4463, 540, 713, 6906, 563, 278, 269, 26169, 6906, 14263, 9095, 338, 454, 1103, 606, 31164, 6906, 609, 513, 476, 273, 9492, 2427, 267, 519, 9095, 338, 540, 1614, 10580, 616, 6537, 689, 519, 7740, 693, 519, 14622, 543, 2234, 4512, 476, 272, 9492, 269, 12433, 519, 1543, 540, 519, 26484, 851, 910, 513, 5250, 602, 2306, 909, 519, 3017, 1063, 519, 6906, 1858, 543, 9764, 11912, 454, 279, 269, 16547, 658, 3296, 540, 519, 13409, 454, 763, 30212, 3296, 540, 519, 13409, 568, 606, 568, 30801, 6906, 538, 799, 519, 5223, 540, 13409, 8006, 547, 13409, 2427, 568, 476, 273, 281, 476, 274, 269, 12433, 922, 4320, 952, 596, 917, 922, 1858, 568, 476, 27183, 4699, 4009, 563, 280, 269, 634, 2460, 5223, 454, 763, 2460, 5223, 540, 519, 14328, 6906, 568, 476, 1724, 281, 476, 1321, 281, 476, 276, 269, 12433, 519, 4835, 7285, 540, 519, 6906, 563, 1015, 269, 27405, 1190, 1858, 454, 763, 25671, 1355, 13235, 291, 568, 2016, 269, 12433, 922, 1858, 952, 519, 1858, 540, 519, 667, 6195, 6906, 568, 476, 2767, 4699, 273, 563, 1556, 269, 2405, 1014, 538, 1318, 6906, 454, 1103, 519, 14328, 6906, 13235, 814, 1634, 519, 3259, 540, 519, 7953, 513, 815, 476, 1428, 9492, 543, 536, 815, 476, 3607, 9492, 269, 12433, 519, 3259, 540, 519, 11667, 547, 2427, 524, 630, 1729, 30494, 1916, 1321, 269, 1230, 673, 11480, 454, 2691, 513, 598, 673, 11480, 26520, 593, 922, 6366, 3490, 267, 519, 1216, 538, 519, 11480, 568, 476, 279, 4699, 689, 621, 14584, 269, 1879, 519, 1482, 598, 673, 11480, 568, 5828, 26700, 1524, 267, 519, 1216, 1377, 568, 476, 273, 4699, 689, 922, 3490, 269, 1548, 568, 519, 4463, 540, 519, 11480, 888, 1724, 269, 769, 30533, 539, 5858, 454, 288, 5858, 568, 27485, 693, 519, 5377, 3774, 540, 519, 13306, 609, 606, 6316, 630, 320, 815, 476, 272, 1040, 1548, 568, 519, 8953, 540, 519, 20085, 2627, 602, 3568, 713, 5858, 543, 835, 540, 519, 14584, 540, 519, 1283, 13306, 3490, 888, 1691, 269, 25792, 13080, 454, 8340, 519, 1034, 2009, 13080, 585, 519, 3791, 2427, 540, 513, 6906, 609, 5011, 476, 736, 543, 476, 1240, 563, 1428, 269, 645, 529, 26662, 454, 2026, 3254, 267, 538, 19065, 367, 13235, 267, 19110, 290, 815, 476, 3445, 4113, 267, 5084, 20312, 31637, 19110, 289, 3722, 267, 16692, 414, 488, 354, 5723, 547, 661, 267, 18688, 815, 476, 273, 267, 7460, 815, 476, 277, 269, 4855, 519, 15943, 540, 6906, 19065, 367, 645, 14701, 563, 1626, 269, 8092, 10465, 454, 763, 2244, 814, 519, 3337, 540, 513, 1318, 6906, 269, 634, 30494, 814, 513, 3259, 540, 476, 1789, 332, 269, 634, 18592, 540, 519, 2244, 568, 476, 7761, 7397 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5244, 269, 634, 960, 729, 6462, 676, 8830, 16746, 781, 3427, 540, 11906, 7177, 269, 634, 6475, 22794, 2090, 693, 21960, 1188, 941, 14102, 676, 513, 31489, 30405, 1382, 9886, 543, 941, 5342, 676, 25719, 1053, 14880, 667, 269, 21619, 691, 543, 15550, 617, 330, 20783, 18264, 12329, 328, 269, 1323, 2473, 4916, 6482, 729, 5342, 676, 667, 2466, 787, 2098, 655, 569, 534, 990, 693, 21960, 1188, 269, 4033, 1489, 3357, 689, 519, 14208, 657, 1512, 24581, 28628, 4741, 540, 28742, 630, 295, 274, 10870, 292, 264, 31776, 267, 14102, 676, 772, 2529, 269, 4972, 540, 6052, 269, 24793, 11261, 281, 5988, 476, 276, 267, 476, 1001, 277, 11905, 281, 8830, 16746, 2160, 454, 21158, 9137, 1923, 4989, 476, 278, 267, 476, 1001, 277, 454, 27793, 11103, 6508, 689, 513, 4264, 2707, 267, 513, 1826, 540, 3552, 25487, 267, 543, 9168, 609, 20543, 723, 1044, 3254, 547, 856, 704, 845, 6671, 27948, 22809, 585, 16864, 23760, 9075, 269, 12824, 693, 8830, 16746, 2160, 723, 2813, 22809, 689, 513, 2249, 540, 3552, 17343, 1572, 14977, 668, 344, 806, 535, 1170, 18442, 269, 834, 14483, 1533, 6361, 7308, 19603, 16864, 23760, 9075, 1590, 581, 4824, 538, 1312, 1648, 5860, 543, 1379, 3977, 538, 1931, 547, 2743, 519, 2104, 1648, 4859, 3747, 538, 3167, 6472, 543, 7470, 1648, 3613, 4392, 4066, 2437, 3081, 966, 559, 553, 2717, 267, 606, 12314, 7548, 538, 519, 3427, 540, 11906, 7177, 543, 519, 3427, 540, 10049, 7177, 269, 834, 3383, 972, 568, 513, 25680, 991, 547, 1020, 1007, 606, 1712, 2326, 609, 9120, 2773, 1701, 645, 2660, 625, 723, 1079, 22809, 267, 1572, 606, 606, 1712, 543, 513, 30932, 269, 634, 606, 3941, 538, 1034, 540, 2221, 781, 16864, 23760, 9075, 616, 1500, 540, 27948, 269, 19077, 1756, 12274, 616, 8659, 538, 513, 5277, 1572, 606, 23386, 267, 543, 891, 12274, 616, 6740, 538, 519, 606, 1712, 1282, 556, 12737, 532, 269, 2717, 543, 25719, 2875, 808, 658, 21628, 19358, 723, 1336, 602, 3327, 11103, 6508, 689, 14977, 668, 344, 806, 535, 1170, 18442, 543, 9168, 676, 1140, 2286, 524, 28240, 12547, 20543, 856, 704, 845, 6671, 27948, 538, 519, 606, 3941, 269, 634, 10316, 1374, 814, 513, 5348, 1120, 2065, 1267, 267, 2717, 3081, 269, 834, 13828, 519, 3327, 11103, 543, 524, 28240, 12547, 5536, 616, 6850, 17057, 1227, 3742, 267, 865, 707, 4390, 1297, 4422, 2362, 1317, 789, 1312, 7119, 2437, 646, 3081, 269, 634, 10316, 606, 3941, 723, 513, 7123, 4390, 540, 476, 30019, 1984, 328, 2086, 3108, 829, 6121, 267, 799, 568, 835, 543, 513, 3368, 2053, 3152, 982, 27948, 781, 4390, 269, 28454, 616, 2143, 538, 513, 1957, 17729, 2228, 538, 519, 1977, 11906, 5980, 781, 12655, 11061, 1299, 7177, 4760, 269, 2290, 1935, 585, 5355, 6007, 2773, 568, 547, 12189, 3327, 11103, 676, 1140, 2286, 1978, 8407, 267, 23212, 610, 4496, 27911, 602, 1450, 585, 2799, 4859, 540, 16864, 1282, 556, 12737, 532, 269, 19358, 3893, 519, 2856, 540, 26378, 13271, 585, 6151, 2326, 1247, 15388, 4244, 2959, 585, 3327, 11103, 269, 834, 763, 2409, 1631, 1031, 547, 3132, 3327, 11103, 585, 9075, 616, 1419, 3114, 5230, 543, 7199, 2437, 19358, 3081, 269, 1261, 8068, 513, 25487, 3395, 593, 513, 4232, 1154, 3574, 588, 2794, 538, 1010, 18147, 543, 4956, 547, 1353, 922, 1761, 607, 513, 2707, 585, 3327, 11103, 269, 834, 296, 729, 8049, 827, 519, 2497, 865, 594, 2759, 621, 1930, 543, 1336, 602, 621, 814, 1360, 4277, 3601, 2437, 646, 3081, 269, 834, 2005, 781, 1360, 12285, 344, 543, 2943, 1360, 9157, 693, 519, 1482, 942, 269, 4107, 4277, 569, 267, 950, 594, 2759, 621, 1930, 621, 814, 513, 1360, 32248, 3060, 2497, 1701, 10313, 11143, 609, 824, 13271, 4951, 519, 14977, 668, 344, 806, 535, 1170, 18442, 729, 2523, 10731, 538, 11103, 269, 634, 11103, 616, 9268, 896, 1164, 5210, 538, 513, 12068, 5627, 2415, 517, 3154, 1210, 513, 5650, 1572, 7510, 26299, 3974, 267, 27548, 6986, 3327, 538, 519, 3312, 3337, 540, 519, 17343, 11103, 269, 634, 11103, 723, 513, 2935, 1229, 11460, 543, 18595, 710, 899, 838, 698, 515, 26152, 30653, 269, 634, 10562, 3060, 6770, 5488, 6475, 3560, 267, 799, 1223, 1267, 538, 5488, 6007, 12123, 269, 5082, 1258, 22794, 2090, 941, 5340, 693, 519, 21960, 1188, 15089, 12771, 4741, 538, 8830, 16746, 781, 20570, 5244, 269, 634, 960, 729, 6462, 676, 8830, 16746, 781, 3427, 540, 11906, 7177, 269, 634, 6475, 22794, 2090, 693, 21960, 1188, 941, 14102, 676, 513, 31489, 30405, 1382, 9886, 543, 941, 5342, 676, 5449, 2022, 4777, 28118, 1382, 12314, 15550, 617, 330, 20783, 18264, 12329, 328, 269, 0, 11328, 5562, 3043, 12545, 723, 1044, 513, 3905, 1888, 538, 20563, 2479, 2094, 519, 2229, 16219, 835, 538, 1169, 4928, 1394, 538, 476, 1001, 272, 269, 634, 9153, 729, 1279, 1814, 31985, 585, 711, 1373, 1134, 2219, 856, 543, 519, 2887, 719, 2221, 568, 602, 1082, 13460, 538, 20563, 11298, 723, 606, 7317, 3043, 4604, 693, 519, 4395, 540, 519, 4055, 855, 2507, 1134, 2507, 875, 616, 789, 1373, 1031, 888, 5278, 3610, 616, 4358, 547, 946, 873, 607, 851, 540, 513, 811, 8465, 4928, 269, 898, 666, 581, 519, 3501, 4099, 12328, 585, 513, 4058, 7997, 267, 1141, 2516, 540, 6267, 666, 960, 1927, 593, 4058, 856, 3785, 610, 23730, 2093, 563, 1692, 798, 707, 1053, 946, 519, 7317, 3043, 4604, 538, 707, 4055, 888, 306, 18588, 267, 2977, 22828, 267, 543, 18087, 9809, 663, 516, 779, 13186, 568, 11173, 547, 8300, 519, 960, 594, 798, 269, 594, 3459, 676, 2870, 713, 3381, 602, 6212, 593, 875, 670, 3430, 773, 779, 1948, 272, 13525, 1107, 11819, 9193, 540, 9740, 1107, 568, 22993, 538, 938, 13460, 538, 20563, 269, 898, 9607, 875, 2029, 666, 581, 1031, 547, 24244, 621, 607, 1134, 563, 296, 1131, 2648, 547, 1711, 2147, 7044, 609, 6405, 1806, 540, 824, 1164, 2773, 10832, 256, 1684, 596, 917, 540, 1022, 3610, 945, 616, 26936, 741, 2259, 609, 1164, 2773, 10832, 543, 945, 616, 1210, 2029, 547, 24244, 713, 286, 2913, 803, 917, 827, 873, 2336, 29310, 649, 8268, 3627, 670, 3430, 773, 779, 1283, 10832, 540, 1967, 543, 3459, 547, 2015, 875, 649, 666, 946, 2029, 547, 24244, 1346, 10832, 563, 7069, 1909, 538, 519, 23414, 3951, 568, 1419, 16602, 547, 4766, 1107, 23414, 3951, 568, 827, 2029, 2507, 2431, 888, 296, 723, 513, 23626, 602, 12909, 827, 7700, 547, 543, 22151, 6791, 827, 2029, 585, 3450, 543, 1565, 1369, 519, 21621, 2069, 2146, 563, 2750, 13630, 1047, 827, 2029, 585, 3450, 543, 1565, 729, 2899, 5097, 827, 875, 547, 946, 1808, 2645, 538, 519, 4928, 1107, 519, 1034, 25337, 1373, 519, 20308, 6519, 8274, 267, 19503, 6758, 1373, 513, 2673, 2034, 563, 3719, 1018, 4523, 950, 649, 1445, 593, 875, 547, 946, 2645, 286, 634, 2645, 2611, 606, 1039, 6823, 269, 1656, 267, 7058, 1018, 888, 2171, 723, 1100, 942, 585, 1039, 268, 976, 2336, 2690, 513, 1297, 540, 1296, 594, 723, 1044, 3206, 513, 2603, 827, 875, 2029, 666, 1406, 581, 2938, 607, 5094, 689, 3388, 3116, 649, 798, 269, 898, 568, 711, 513, 1187, 1039, 6823, 269, 630, 1103, 1249, 267, 950, 1031, 607, 606, 1039, 6823, 2534, 621, 779, 2356, 811, 24858, 982, 1187, 8094, 2691, 1031, 25006, 267, 621, 568, 606, 17697, 851, 540, 519, 1565, 543, 3450, 1184, 269, 898, 1175, 2306, 2631, 563, 3383, 267, 875, 798, 649, 1205, 547, 1565, 602, 2306, 2631, 609, 2029, 888, 297, 2129, 22828, 267, 18087, 9809, 663, 516, 267, 543, 9995, 571, 616, 4358, 547, 2307, 267, 1018, 952, 649, 1376, 609, 2963, 286, 1548, 952, 649, 1376, 609, 10832, 540, 1967, 602, 2097, 856, 540, 1382, 540, 1018, 2306, 1434, 1565, 888, 296, 993, 7836, 513, 2603, 540, 942, 3206, 827, 2055, 899, 519, 3283, 2630, 912, 4692, 2029, 946, 24244, 891, 1164, 27780, 716, 2994, 888, 2691, 596, 946, 2029, 538, 707, 4928, 610, 3318, 1646, 11623, 267, 798, 596, 2015, 1946, 596, 616, 1210, 621, 888, 1432, 827, 952, 649, 5532, 3388, 649, 1705, 2059, 10832, 540, 1967, 267, 899, 1346, 4857, 676, 3627, 670, 3430, 773, 267, 543, 1287, 1500, 2386, 602, 938, 2029, 946, 729, 538, 1899, 609, 1018, 519, 1382, 6645, 721, 888, 1692, 1281, 4687, 1250, 4245, 2228, 2087, 1250, 2078, 609, 1250, 1053, 888, 1692, 1281, 2870, 606, 2228, 2230, 585, 1250, 6030, 948, 803, 547, 5968, 2312, 15752, 888, 1692, 1281, 15819, 609, 2228, 17118, 610, 3029, 948, 803, 547, 6895, 1250, 1053, 685, 3356, 865, 594, 666, 4188, 1250, 3450, 888, 4517, 1141, 1281, 782, 540, 713, 3514, 1369, 938, 1007, 3292, 585, 16989, 4065, 538, 20563, 888, 288, 1247, 3516, 594, 2919, 713, 2370, 8642, 547, 14650, 513, 1259, 547, 1544, 585, 28671, 1646, 1369, 519, 2796, 540, 938, 1007, 3292, 563, 15368, 1227, 267, 519, 21941, 543, 519, 2963, 540, 17117, 616, 19526, 547, 938, 3292, 855, 519, 1259, 649, 979, 827, 621, 1107, 519, 2238, 267, 519, 5464, 540, 1565, 267, 519, 24233, 4879, 267, 519, 5714, 4773, 540, 1565, 1107, 616, 12260, 539, 1317, 789, 4096, 593, 519, 4116, 267, 519, 6267, 267, 543, 519, 2146, 538, 799, 789, 616, 1565, 563, 296, 1589, 621, 568, 538, 713, 12260, 539, 1858, 602, 649, 723, 519, 1761, 547, 4019, 670, 3430, 773, 26141, 1967, 10832, 547, 1118, 2386, 602, 649, 616, 14775, 1312, 547, 519, 4170, 540, 519, 3292, 543, 547, 519, 2115, 540, 938, 6267, 563, 2171, 616, 538, 513, 1974, 540, 1390, 13441, 269, 1703, 568, 3350, 10876, 865, 594, 6557, 2469, 547, 1491, 513, 1906, 3764, 713, 6640, 547, 3500, 1524, 543, 1491, 513, 1413, 693, 1141, 649, 616, 2469, 543, 693, 1018, 649, 616, 3257, 547, 948, 721, 1205, 972, 269, 5516, 547, 6443, 803, 888, 296, 6557, 2469, 547, 7914, 4464, 513, 3787, 543, 16436, 596, 547, 2070, 713, 15942, 6011, 269, 898, 814, 2487, 8711, 827, 875, 649, 616, 3478, 547, 1141, 649, 1616, 547, 979, 1107, 689, 1390, 3610, 547, 1390, 7391, 563, 3383, 267, 1631, 519, 2462, 2243, 281, 7316, 616, 649, 2469, 888, 16485, 4896, 538, 16989, 3798, 25015, 543, 789, 616, 2693, 547, 2626, 454, 30262, 1168, 531, 269, 21637, 269, 1715, 3292, 563, 3719, 1018, 1281, 602, 1611, 888, 2171, 616, 9575, 538, 513, 4070, 7997, 540, 25430, 607, 649, 2312, 856, 2025, 1982, 9479, 543, 1118, 1259, 585, 1007, 3283, 269, 1656, 607, 649, 6521, 875, 649, 4001, 543, 2170, 609, 938, 1053, 543, 938, 9164, 607, 513, 1267, 540, 891, 2242, 563, 4517, 4070, 4609, 666, 3500, 721, 1524, 269, 1809, 952, 649, 1832, 8289, 540, 1141, 649, 1616, 547, 979, 267, 649, 786, 1265, 938, 1655, 2081, 972, 269, 5221, 519, 25430, 3294, 568, 711, 513, 10278, 269, 898, 568, 513, 1797, 547, 3478, 12341, 269, 3807, 899, 2029, 563, 2252, 649, 1201, 9347, 938, 10278, 543, 2322, 938, 1007, 3292, 1141, 789, 4866, 267, 607, 851, 540, 519, 4155, 4786, 267, 649, 949, 1175, 581, 2111, 547, 1294, 938, 1259, 972, 563, 3383, 267, 1141, 616, 649, 2469, 1586, 888, 2171, 1616, 1053, 547, 3035, 1107, 713, 568, 267, 1310, 782, 267, 1946, 649, 798, 1018, 649, 798, 563, 2171, 1616, 1565, 547, 581, 6209, 1107, 538, 824, 1913, 267, 649, 1616, 1004, 547, 1616, 547, 1451, 609, 721, 1317, 789, 1265, 2495, 1934, 269, 1284, 1810, 1406, 1616, 547, 3653, 741, 942, 563, 2171, 1616, 1004, 547, 581, 4448, 543, 547, 12840, 1107, 1946, 3653, 1648, 5104, 31227, 11084, 538, 5094, 15174, 540, 519, 11662, 267, 1153, 4604, 267, 610, 2679, 286, 769, 1931, 547, 12840, 267, 649, 991, 547, 581, 4448, 563, 2467, 568, 865, 1454, 6791, 538, 782, 540, 721, 269, 1284, 616, 1732, 1927, 563, 1692, 616, 649, 3478, 972, 888, 1607, 568, 1141, 707, 4155, 4786, 2501, 538, 269, 2368, 2055, 547, 2015, 912, 1432, 568, 1250, 4155, 4786, 547, 2875, 9740, 888, 1432, 568, 1250, 4155, 4786, 547, 6209, 1565, 888, 1432, 568, 1250, 4155, 4786, 547, 4276, 543, 5698, 888, 296, 2731, 1589, 602, 519, 2626, 568, 538, 3850, 1004, 547, 2911, 547, 1142, 824, 827, 741, 2259, 630, 31347, 621, 581, 3610, 267, 29801, 267, 19971, 267, 5234, 267, 24784, 267, 610, 1053, 1040, 594, 1265, 519, 1034, 3811, 960, 594, 798, 609, 3610, 610, 29801, 568, 950, 594, 1711, 3255, 585, 8220, 543, 23712, 543, 1287, 3251, 856, 540, 519, 1259, 547, 1450 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1490, 10537, 1554, 269, 2353, 941, 972, 21401, 538, 4395, 540, 519, 26749, 269, 634, 26749, 3294, 4843, 519, 26927, 2456, 339, 540, 782, 24738, 910, 513, 5873, 628, 1510, 922, 10723, 3595, 267, 513, 3349, 3262, 1510, 922, 10723, 21649, 269, 634, 17308, 569, 22634, 267, 3079, 540, 11018, 607, 8912, 2390, 922, 3268, 543, 922, 3760, 267, 941, 9141, 267, 607, 621, 941, 267, 547, 519, 2417, 2230, 282, 789, 5828, 741, 19758, 547, 519, 4666, 26749, 267, 543, 2482, 605, 1598, 622, 267, 575, 5074, 2509, 519, 769, 6665, 1043, 3465, 775, 1369, 519, 25113, 269, 5502, 540, 519, 1728, 332, 985, 543, 2575, 799, 267, 2094, 519, 942, 540, 6424, 267, 1185, 9411, 883, 741, 19001, 267, 972, 729, 4986, 4862, 855, 519, 13730, 865, 2125, 543, 519, 10978, 4744, 517, 656, 875, 3149, 971, 607, 1152, 606, 8109, 15796, 1223, 19039, 269, 5502, 540, 519, 2527, 540, 3043, 16051, 956, 799, 789, 2356, 4843, 267, 789, 941, 12109, 696, 538, 3109, 23820, 781, 3620, 1515, 521, 871, 743, 1054, 267, 27390, 5180, 873, 267, 711, 609, 519, 13085, 521, 10449, 540, 519, 17308, 569, 30933, 267, 855, 609, 513, 11315, 575, 2273, 548, 540, 519, 1482, 9403, 267, 799, 789, 2760, 796, 20129, 3781, 610, 1554, 269, 1548, 789, 20595, 540, 741, 1455, 10571, 729, 10519, 607, 8974, 610, 5641, 1055, 269, 2060, 11953, 28244, 789, 530, 8491, 741, 3109, 1951, 704, 344, 2509, 519, 11454, 267, 543, 695, 686, 2131, 539, 16965, 267, 1412, 306, 6768, 16815, 1004, 267, 744, 7083, 256, 262, 257, 6270, 568, 25760, 26304, 781, 12667, 4605, 540, 519, 6381, 543, 6429, 4330, 676, 519, 22445, 538, 519, 1657, 18627, 269, 589, 6429, 9765, 5944, 2147, 4386, 538, 519, 30134, 618, 540, 519, 1412, 302, 10955, 760, 639, 570, 10455, 2335, 639, 262, 540, 20153, 28965, 20620, 257, 3963, 1694, 9493, 1934, 267, 1250, 1453, 267, 7820, 2156, 617, 454, 8170, 27974, 16443, 1340, 539, 540, 2025, 267, 538, 32444, 1533, 2676, 7312, 13164, 3976, 530, 805, 1117, 609, 519, 1139, 2993, 1218, 262, 536, 965, 338, 888, 4517, 782, 519, 2749, 556, 4060, 609, 1651, 1619, 2676, 4517, 782, 556, 268, 3663, 3996, 609, 707, 1728, 332, 985, 543, 9240, 753, 3248, 4517, 594, 267, 1250, 1453, 267, 10203, 621, 796, 1889, 564, 454, 2414, 5873, 1867, 689, 1866, 267, 594, 723, 2097, 454, 7069, 1345, 267, 7247, 782, 2012, 744, 10955, 760, 639, 519, 4279, 4799, 294, 1430, 519, 1004, 267, 18813, 1518, 519, 30798, 267, 27043, 519, 22242, 267, 5531, 519, 1453, 267, 543, 1346, 602, 29186, 519, 28244, 281, 1577, 519, 27379, 326, 3336, 979, 8521, 540, 1010, 12068, 267, 543, 519, 27379, 856, 540, 1200, 5008, 564, 563, 4131, 519, 20577, 267, 519, 26110, 540, 519, 28789, 267, 649, 788, 1063, 519, 11188, 577, 543, 519, 26749, 267, 543, 1577, 873, 2161, 267, 1975, 732, 16815, 1004, 267, 744, 28789, 267, 543, 2285, 711, 555, 710, 6561, 547, 1065, 25209, 267, 602, 519, 3002, 1156, 1058, 4341, 936, 873, 281, 1141, 1150, 1058, 789, 2161, 1851, 519, 1004, 267, 7316, 568, 741, 2696, 888, 10190, 786, 519, 28789, 581, 23279, 585, 1010, 2244, 267, 543, 533, 640, 1010, 1004, 563, 309, 619, 525, 476, 1240, 268, 2767, 1106, 519, 3524, 601, 540, 713, 3184, 538, 519, 12355, 267, 855, 2947, 3606, 18627, 1118, 909, 519, 3184, 538, 519, 8191, 1242, 19405, 269, 1452, 616, 16883, 883, 1079, 2694, 269, 769, 519, 1101, 6498, 519, 22445, 1028, 999, 1010, 2197, 5443, 540, 519, 1655, 578, 531, 540, 13796, 24271, 625, 267, 543, 538, 519, 2034, 540, 519, 9153, 540, 5289, 25736, 269, 7638, 572, 476, 1240, 269, 910, 634, 20304, 540, 713, 14235, 609, 642, 822, 13394, 267, 616, 5265, 3144, 607, 3501, 338, 282, 6862, 568, 972, 1022, 24081, 1890, 267, 3177, 649, 1174, 267, 607, 1739, 2357, 269, 476, 1704, 543, 18631, 2357, 269, 476, 1240, 267, 519, 1249, 602, 519, 20577, 1185, 7722, 538, 519, 4050, 527, 775, 679, 14765, 1441, 267, 543, 6035, 519, 1139, 997, 566, 547, 799, 789, 1185, 1044, 2040, 3000, 539, 282, 9444, 568, 519, 522, 3939, 540, 1022, 2769, 2446, 540, 519, 25896, 3976, 9277, 547, 26544, 1063, 891, 18627, 1022, 4570, 1843, 542, 267, 2523, 607, 519, 8239, 7957, 2293, 519, 2070, 538, 2243, 269, 3973, 5205, 513, 23314, 540, 2696, 781, 23502, 538, 2626, 547, 519, 10924, 4050, 527, 775, 543, 11755, 540, 1010, 22063, 269, 2696, 781, 30983, 543, 533, 640, 616, 1312, 7722, 910, 1010, 30983, 585, 1010, 2244, 267, 543, 1010, 8296, 585, 1010, 1004, 269, 3571, 30983, 568, 27461, 267, 543, 519, 782, 4288, 568, 4440, 547, 602, 540, 513, 9393, 945, 568, 23279, 593, 2272, 540, 1022, 31081, 712, 2944, 547, 1010, 7385, 267, 543, 945, 759, 757, 621, 811, 16994, 569, 982, 513, 31081, 712, 6035, 547, 5128, 269, 634, 533, 640, 568, 971, 607, 2696, 2479, 28107, 547, 1010, 1004, 950, 4050, 527, 550, 282, 585, 834, 12024, 607, 513, 4651, 8486, 328, 996, 1010, 1453, 267, 865, 519, 7083, 8486, 328, 996, 873, 602, 4250, 1864, 4799, 312, 20660, 267, 519, 28789, 786, 2626, 543, 2161, 21349, 1010, 1004, 267, 2142, 3835, 267, 594, 786, 6494, 596, 8970, 267, 543, 9174, 267, 543, 3282, 267, 543, 9493, 4927, 581, 13854, 972, 5976, 281, 543, 594, 786, 1100, 811, 1118, 596, 513, 1065, 25209, 1851, 519, 3002, 1156, 912, 19723, 572, 476, 866, 269, 910, 14717, 320, 267, 519, 7083, 786, 2626, 543, 2161, 21349, 1010, 1004, 267, 2142, 3835, 267, 594, 786, 6494, 596, 8970, 267, 543, 9174, 267, 543, 3282, 267, 543, 9493, 4927, 581, 13854, 972, 5976, 269, 634, 7083, 781, 2626, 2501, 538, 519, 3337, 540, 513, 9153, 540, 8323, 540, 799, 812, 543, 28458, 941, 865, 15319, 569, 538, 991, 269, 634, 9153, 267, 609, 5838, 766, 689, 11605, 267, 15185, 15792, 11606, 269, 634, 8970, 543, 519, 9174, 543, 519, 3282, 910, 519, 1614, 1390, 13796, 25736, 267, 6697, 547, 1426, 267, 29295, 618, 267, 543, 15022, 3512, 910, 799, 519, 1327, 755, 338, 1185, 10032, 267, 607, 649, 1224, 538, 2357, 269, 476, 1015, 267, 2696, 1934, 14767, 547, 11177, 267, 543, 547, 11177, 711, 8806, 547, 519, 6708, 602, 729, 18923, 2556, 267, 855, 538, 2407, 543, 10731, 2268, 267, 865, 602, 789, 1131, 581, 13854, 972, 5976, 563, 263, 272, 264, 634, 13450, 540, 3505, 1145, 610, 1616, 267, 7802, 543, 796, 743, 5847, 267, 2469, 610, 4947, 543, 23029, 267, 1827, 606, 25197, 894, 282, 8754, 13913, 358, 403, 480, 403, 495, 403, 351, 814, 519, 25197, 894, 1934, 282, 3006, 621, 568, 9112, 609, 13913, 495, 610, 13913, 508, 563, 263, 273, 264, 1703, 616, 1079, 25481, 540, 513, 32096, 609, 513, 15749, 607, 1641, 910, 602, 538, 799, 519, 15749, 568, 2854, 538, 922, 5094, 1106, 538, 7525, 4276, 609, 519, 32096, 267, 543, 602, 538, 799, 621, 568, 813, 2105, 607, 513, 21879, 563, 263, 274, 264, 634, 1913, 546, 12298, 689, 546, 698, 1695, 267, 547, 9062, 282, 586, 1080, 9618, 689, 512, 338, 1695, 541, 267, 547, 19542, 282, 543, 512, 25950, 689, 586, 541, 1662, 267, 547, 1491, 15896, 540, 519, 2634, 267, 723, 1142, 519, 2376, 4776, 12089, 267, 547, 11168, 519, 2472, 17468, 676, 519, 23942, 23502, 269, 634, 2376, 267, 1100, 8969, 267, 568, 4776, 12089, 547, 519, 4408, 540, 5049, 540, 3615, 3622, 1634, 269, 1656, 594, 786, 1100, 811, 1118, 596, 513, 1065, 25209, 1851, 519, 3002, 1156, 269, 3143, 811, 1131, 789, 581, 513, 1065, 25209, 610, 676, 5320, 1851, 519, 3002, 1156, 267, 14229, 1229, 693, 267, 607, 1498, 2696, 1185, 14460, 873, 538, 1010, 15319, 771, 921, 5501, 267, 610, 998, 22406, 791, 582, 775, 1185, 1044, 8572, 547, 948, 873, 269, 2353, 713, 2696, 16219, 547, 798, 538, 2626, 547, 519, 19001, 540, 1010, 1004, 269, 6270, 729, 519, 1267, 540, 4050, 527, 775, 267, 543, 971, 519, 1379, 540, 11755, 269, 22216, 12949, 568, 513, 2034, 25197, 894, 267, 610, 267, 811, 7157, 267, 606, 813, 3789, 531, 25197, 894, 547, 2802, 651, 332, 269, 634, 4070, 609, 682, 4749, 3217, 519, 1747, 540, 519, 2034, 25197, 894, 267, 607, 538, 519, 27867, 14235, 540, 519, 1482, 3184, 563, 3719, 594, 786, 4894, 2484, 1055, 689, 596, 519, 7187, 7952, 267, 543, 786, 5397, 1864, 883, 513, 2244, 3046, 1066, 543, 964, 25544, 267, 609, 1010, 3068, 4724, 519, 7532, 4262, 267, 543, 1010, 17225, 851, 4724, 519, 25932, 4262, 267, 543, 1010, 588, 1074, 4927, 2097, 909, 267, 543, 1010, 2192, 5260, 712, 4927, 2097, 909, 267, 1317, 646, 554, 987, 2944, 1390, 1919, 563, 19723, 572, 476, 736, 269, 910, 1809, 594, 786, 4894, 2484, 1055, 689, 596, 519, 7187, 7952, 267, 543, 786, 5397, 1864, 883, 513, 2244, 3046, 1066, 543, 964, 25544, 267, 609, 1010, 3068, 4724, 519, 7532, 4262, 267, 543, 1010, 17225, 851, 4724, 519, 25932, 4262, 269, 901, 14235, 14767, 519, 9552, 540, 519, 10969, 1807, 269, 634, 22445, 1934, 23403, 519, 1797, 676, 799, 519, 661, 4156, 729, 2469, 547, 11177, 519, 25736, 540, 7556, 269, 634, 1931, 540, 5311, 568, 30141, 910, 519, 1198, 18631, 519, 2014, 282, 3976, 267, 556, 269, 588, 2610, 540, 13884, 543, 7899, 4422, 1354, 267, 543, 519, 2014, 23476, 267, 1373, 8323, 689, 12289, 543, 2530, 267, 5205, 1310, 269, 7439, 568, 972, 4376, 13737, 538, 713, 267, 607, 2367, 616, 811, 9800, 547, 6051, 689, 513, 11605, 995, 1533, 540, 1022, 2186, 982, 547, 519, 16185, 799, 2360, 621, 269, 634, 834, 1301, 344, 257, 540, 713, 14235, 649, 1869, 3180, 547, 581, 519, 11031, 540, 1327, 755, 338, 267, 799, 267, 899, 606, 32415, 7952, 267, 609, 922, 3875, 1036, 14939, 15523, 267, 1185, 936, 14725, 519, 2244, 267, 22502, 10982, 599, 543, 11605, 16382, 621, 4359, 282, 2943, 689, 713, 1360, 14235, 267, 543, 519, 4082, 834, 333, 4899, 257, 538, 1880, 267, 621, 814, 1044, 11130, 602, 621, 3112, 3277, 547, 1327, 755, 338, 267, 855, 547, 1480, 28164, 3090, 1242, 676, 1327, 755, 338, 543, 519, 688, 22106, 530, 3754, 676, 873, 563, 263, 272, 264, 634, 5087, 568, 711, 519, 5065, 2244, 540, 1327, 755, 338, 282, 621, 568, 2864, 519, 5045, 910, 519, 26768, 267, 10370, 15487, 267, 610, 12266, 9390, 269, 1809, 454, 263, 273, 264, 834, 333, 4899, 257, 949, 20301, 519, 10116, 689, 799, 519, 1327, 755, 338, 7902, 547, 519, 22445, 538, 5075, 547, 4283, 519, 2244, 282, 610, 267, 9141, 16057, 676, 513, 5045, 2842, 799, 5781, 9514, 338, 267, 607, 649, 616, 5483, 267, 538, 1346, 4525, 1282, 5614, 267, 543, 1287, 547, 519, 5087, 540, 21157, 676, 606, 7532, 2842, 799, 9514, 338, 609, 2147, 2834, 640, 538, 4832, 267, 543, 1586, 883, 543, 6038, 856, 540, 21157, 676, 519, 5087, 2842, 25738, 538, 519, 15489, 269, 834, 1103, 713, 2013, 2437, 3081, 513, 5856, 538, 519, 1412, 11854, 6033, 781, 19410, 776, 10086, 834, 1492, 7187, 20575, 1131, 723, 1044, 513, 2067, 4082, 585, 606, 9468, 656, 540, 13243, 547, 946, 538, 6340, 540, 519, 1327, 755, 338, 282, 607, 2067, 607, 621, 1131, 581, 585, 513, 5507, 518, 547, 3717, 540, 513, 11641, 559, 775, 602, 1185, 862, 10642, 922, 30635, 1137, 538, 4279, 6628, 693, 25470, 267, 607, 4947, 547, 1864, 689, 519, 5087, 267, 1498, 621, 941, 8385, 16865, 689, 5333, 610, 8050, 1701, 634, 2262, 454, 263, 274, 264, 949, 3090, 1227, 20301, 834, 5632, 600, 527, 748, 2437, 2687, 547, 519, 7778, 540, 930, 267, 2094, 1608, 600, 640, 568, 865, 4749, 6719, 607, 4947, 689, 519, 5087, 267, 865, 602, 519, 5087, 568, 811, 610, 1447, 4857, 609, 1019, 553, 2120, 282, 3976, 649, 1224, 538, 22819, 31109, 476, 275, 281, 277, 267, 834, 296, 786, 3142, 9409, 689, 519, 5087, 267, 543, 513, 1390, 9552, 1701, 898, 949, 267, 2705, 267, 581, 9108, 15861, 602, 267, 676, 519, 1327, 755, 267, 519, 7187, 610, 28435, 6929, 14763, 540, 28311, 267, 945, 4359, 689, 519, 5087, 607, 519, 1034, 3015, 10116, 585, 4323, 267, 616, 538, 513, 13564, 10706, 2631, 6719, 269, 634, 1163, 13955, 540, 891, 14763, 6770, 8323, 282, 789, 616, 9141, 883, 513, 1612, 3481, 267, 543, 865, 9390, 543, 964 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4194, 519, 3390, 540, 8635, 269, 12829, 4872, 1590, 581, 2966, 609, 519, 2115, 540, 12790, 2950, 538, 2247, 267, 538, 1931, 547, 2327, 602, 519, 2640, 540, 5100, 2029, 616, 3015, 543, 12581, 563, 1103, 3932, 267, 5100, 4872, 723, 519, 1761, 547, 7668, 12790, 2950, 676, 3246, 1569, 547, 2200, 267, 4824, 3106, 267, 543, 6098, 7341, 269, 1717, 267, 4872, 1590, 1491, 3268, 547, 2327, 602, 891, 2640, 616, 3015, 543, 12581, 267, 538, 1931, 547, 11694, 741, 1761, 547, 2569, 8635, 563, 22860, 4506, 519, 10020, 540, 12829, 20079, 538, 26472, 4317, 22994, 1006, 543, 25734, 454, 27319, 4872, 723, 519, 1761, 547, 22499, 519, 1259, 1004, 2661, 543, 960, 267, 543, 547, 1683, 13778, 3255, 585, 1514, 10688, 543, 7862, 269, 769, 2487, 1296, 267, 4872, 1472, 519, 1158, 723, 13175, 2921, 5413, 540, 5969, 12967, 4066, 547, 1711, 21273, 543, 811, 3608, 4683, 5054, 563, 27319, 4872, 946, 1239, 543, 12642, 547, 2087, 2749, 5989, 267, 1519, 6283, 267, 1648, 267, 543, 1216, 2359, 269, 1358, 849, 946, 5769, 540, 12085, 630, 31166, 264, 8596, 547, 6895, 2011, 2298, 267, 6808, 267, 543, 6846, 2157, 269, 12829, 4872, 616, 2966, 547, 581, 811, 3608, 267, 2569, 5533, 267, 543, 2087, 519, 2298, 540, 1272, 585, 7264, 563, 3080, 540, 519, 1034, 1271, 2640, 540, 5100, 4872, 568, 741, 1761, 547, 3895, 1514, 10688, 543, 7862, 269, 12829, 4872, 666, 948, 8115, 519, 3059, 7941, 676, 8220, 1346, 538, 9207, 5703, 543, 1970, 13867, 2950, 547, 4105, 2200, 269, 1635, 9001, 1239, 12454, 3375, 6194, 267, 4872, 666, 1711, 5499, 3435, 602, 2232, 519, 2189, 2591, 540, 1142, 2146, 563, 2690, 1383, 267, 538, 1715, 3840, 4975, 267, 519, 946, 540, 3059, 11837, 543, 1239, 2079, 814, 13087, 519, 2749, 547, 3077, 2200, 543, 2533, 547, 2127, 609, 519, 6574, 991, 269, 901, 814, 8507, 538, 513, 10565, 5786, 538, 6710, 543, 4824, 1569, 547, 2069, 543, 1072, 1416, 563, 27319, 4872, 849, 723, 519, 1761, 547, 2087, 1569, 547, 7694, 3255, 269, 1635, 9001, 1239, 12642, 267, 4872, 666, 2697, 1141, 538, 24683, 663, 6009, 616, 4092, 267, 543, 1287, 6474, 873, 609, 2199, 2816, 32339, 269, 901, 666, 948, 2569, 16526, 538, 7694, 543, 13848, 267, 543, 1683, 811, 3255, 585, 16057, 10688, 563, 13010, 267, 5100, 4872, 666, 3895, 7862, 676, 16107, 2029, 547, 5512, 1004, 547, 4497, 538, 18523, 1272, 269, 1280, 3236, 267, 4872, 616, 9001, 3059, 5867, 547, 1118, 621, 4443, 585, 7264, 547, 7119, 538, 2199, 3375, 6194, 3157, 267, 971, 607, 13359, 267, 22343, 267, 543, 3609, 19862, 563, 14454, 267, 5100, 4872, 723, 519, 1761, 547, 22499, 519, 1259, 649, 2661, 543, 960, 267, 543, 547, 1683, 13778, 3255, 585, 1514, 10688, 543, 7862, 269, 1635, 16107, 1239, 543, 12642, 267, 4872, 666, 1711, 5499, 3435, 602, 8115, 519, 3059, 7941, 543, 3895, 10014, 543, 4316, 269, 0, 1432, 568, 20518, 3176, 15557, 888, 1432, 568, 20518, 3176, 15557, 888, 1103, 713, 9074, 649, 786, 1413, 693, 513, 7613, 1572, 20518, 3176, 15557, 269, 1306, 519, 2012, 1131, 2303, 713, 568, 782, 827, 875, 5718, 568, 7856, 2429, 606, 13539, 269, 20518, 5024, 5718, 5631, 4016, 547, 519, 11553, 3722, 2316, 4753, 540, 5718, 27699, 6579, 11862, 267, 2864, 982, 519, 1808, 681, 5357, 2464, 1369, 606, 13539, 269, 898, 568, 782, 827, 2043, 1373, 2111, 547, 8858, 5718, 1983, 950, 2838, 547, 798, 865, 267, 2901, 1217, 958, 610, 18005, 269, 1635, 2810, 519, 4390, 540, 2043, 547, 3635, 5718, 1983, 267, 7488, 540, 2436, 789, 3180, 513, 5718, 1909, 610, 711, 267, 519, 1153, 5036, 3294, 909, 547, 581, 22537, 267, 6422, 543, 11684, 282, 782, 4162, 17820, 676, 519, 1655, 14540, 563, 2005, 568, 1271, 547, 1174, 602, 713, 568, 711, 519, 1482, 607, 2048, 5719, 5586, 730, 685, 15557, 269, 1546, 5586, 730, 5718, 568, 5310, 1945, 602, 649, 616, 27749, 5432, 609, 269, 1546, 5586, 730, 15557, 568, 950, 519, 10361, 974, 12329, 267, 610, 824, 9972, 6205, 267, 30896, 930, 540, 1010, 1315, 1200, 4247, 547, 1866, 2417, 1524, 519, 1418, 6945, 267, 1688, 532, 936, 5539, 585, 930, 3693, 540, 1646, 267, 855, 711, 8209, 14123, 519, 3020, 5718, 540, 602, 3693, 269, 7316, 1546, 5586, 730, 15557, 12346, 593, 5718, 31254, 2207, 24086, 312, 267, 20518, 3176, 15557, 12346, 593, 5718, 27699, 21135, 563, 28757, 1382, 814, 3254, 602, 14540, 609, 513, 2362, 1377, 540, 7856, 5718, 267, 1685, 1732, 982, 14540, 602, 1810, 1406, 269, 634, 2601, 585, 713, 568, 602, 676, 26084, 741, 5718, 789, 2333, 741, 26480, 3722, 14510, 585, 1689, 543, 607, 513, 1267, 789, 616, 2111, 547, 3082, 811, 3362, 547, 4657, 6381, 602, 4019, 547, 1022, 17888, 3510, 563, 3383, 713, 568, 827, 875, 1134, 14540, 666, 11883, 609, 1689, 855, 875, 1281, 621, 14377, 547, 2875, 4093, 286, 4270, 267, 972, 568, 849, 513, 2417, 9756, 602, 1131, 2303, 602, 3506, 609, 2362, 2157, 540, 7856, 5718, 267, 723, 1732, 2875, 4093, 269, 1656, 713, 267, 540, 1576, 267, 568, 938, 3119, 3483, 607, 3506, 563, 2467, 568, 849, 513, 3791, 11973, 799, 568, 1360, 1271, 543, 602, 568, 5234, 8171, 269, 769, 1250, 1995, 267, 26084, 5718, 3927, 1369, 606, 13539, 814, 513, 3648, 2318, 1764, 593, 5234, 8171, 269, 769, 2110, 267, 952, 5234, 1745, 789, 723, 519, 4316, 547, 1291, 267, 7488, 540, 741, 2990, 538, 519, 13539, 267, 543, 602, 741, 8369, 2339, 689, 513, 5718, 5133, 267, 789, 1745, 811, 12595, 543, 607, 513, 12343, 616, 3622, 18668, 693, 960, 563, 3383, 891, 616, 930, 540, 519, 5383, 547, 513, 7856, 5718, 2203, 855, 875, 798, 649, 979, 827, 2048, 23251, 1026, 5024, 5718, 685, 538, 513, 1153, 286, 769, 519, 7766, 9074, 649, 786, 1413, 883, 713, 538, 811, 1469, 855, 519, 1271, 4358, 1448, 568, 519, 16369, 540, 519, 12438, 1049, 14820, 269, 901, 2203, 540, 5718, 568, 811, 827, 606, 11083, 2316, 307, 11070, 292, 2509, 5718, 269, 1306, 594, 5018, 1354, 267, 621, 15320, 689, 824, 5718, 3631, 538, 602, 621, 6212, 593, 519, 1646, 540, 5718, 1983, 2429, 606, 13539, 267, 7488, 540, 4013, 10643, 543, 7158, 267, 855, 2484, 811, 593, 519, 1620, 602, 513, 1268, 3085, 1406, 991, 547, 723, 513, 2140, 547, 581, 513, 6205, 269, 1744, 14823, 606, 12438, 1049, 14820, 547, 3142, 827, 606, 1620, 540, 713, 1523, 267, 543, 8508, 621, 267, 568, 1883, 547, 3384, 538, 713, 4287, 269, 1656, 4061, 267, 713, 1058, 581, 519, 1445, 585, 3401, 538, 1022, 13539, 530, 5109, 547, 7832, 593, 519, 1646, 540, 513, 7856, 5718, 2203, 563, 2005, 1058, 711, 581, 16053, 602, 972, 616, 5693, 1869, 3957, 5718, 5107, 1369, 606, 13539, 267, 543, 891, 616, 12691, 547, 1689, 269, 7439, 1058, 789, 3226, 1317, 713, 568, 711, 519, 3483, 540, 26084, 5718, 269, 634, 3483, 568, 2484, 811, 13988, 547, 2810, 4390, 585, 2208, 676, 5688, 2358, 946, 540, 519, 2048, 2145, 550, 7535, 685, 1369, 606, 13539, 269, 715, 3139, 3401, 945, 1174, 713, 267, 1450, 585, 519, 2208, 540, 891, 1983, 1369, 741, 13539, 267, 543, 991, 547, 267, 2933, 267, 1451, 875, 547, 7668, 543, 5305, 1852, 936, 1978, 2609, 540, 741, 13539, 267, 538, 1931, 547, 1118, 2230, 585, 2208, 267, 1312, 540, 519, 9872, 267, 543, 540, 519, 2043, 1369, 621, 563, 2414, 9414, 1018, 594, 1611, 594, 993, 2469, 547, 946, 519, 1383, 540, 513, 1153, 16462, 547, 1020, 741, 10618, 4640, 269, 1280, 519, 19160, 540, 938, 1383, 267, 538, 713, 1153, 267, 519, 3493, 14280, 10361, 568, 3743, 585, 11488, 856, 10618, 547, 3237, 269, 1717, 267, 646, 814, 1044, 538, 2022, 585, 513, 1279, 942, 543, 568, 6140, 4810, 538, 519, 946, 540, 1957, 2861, 2792, 1949, 543, 711, 693, 782, 5432, 609, 2413, 5907, 3301, 2645, 602, 616, 2139, 269, 5221, 540, 713, 646, 949, 581, 20916, 547, 1020, 513, 4640, 799, 936, 12346, 593, 1957, 2861, 2792, 563, 4913, 267, 972, 568, 513, 7820, 4759, 540, 5234, 945, 568, 1360, 5432, 609, 519, 946, 540, 1514, 2923, 5867, 267, 543, 568, 2484, 811, 538, 19820, 609, 875, 519, 2489, 2385, 1560, 27422, 547, 5968, 269, 2991, 513, 1880, 5234, 5870, 1141, 519, 2319, 1185, 5941, 10618, 267, 519, 1762, 5234, 4759, 14059, 519, 3493, 14280, 10361, 547, 15321, 547, 1291, 519, 1646, 540, 513, 1007, 267, 811, 2413, 2792, 4640, 269, 5221, 938, 1383, 1153, 729, 2907, 8508, 519, 2856, 540, 513, 7856, 5718, 2203, 267, 519, 3493, 14280, 10361, 729, 1360, 18507, 585, 713, 4316, 547, 1688, 936, 713, 4305, 547, 519, 7820, 4759, 540, 5234, 267, 945, 729, 849, 18507, 547, 723, 519, 4960, 547, 1491, 593, 513, 2370, 5718, 4161, 563, 1607, 568, 513, 1507, 267, 2241, 1383, 540, 7856, 5718, 855, 519, 6240, 540, 3850, 4896, 547, 1291, 593, 1022, 4143, 3785, 666, 581, 970, 1905, 565, 730, 4922, 547, 6451, 1082, 3344, 540, 1153, 1272, 267, 1519, 6437, 267, 623, 14011, 2621, 267, 2657, 1299, 8881, 543, 865, 593, 563, 763, 2243, 568, 267, 968, 4692, 513, 1153, 2479, 2161, 602, 741, 5718, 568, 4628, 7856, 9495, 4495, 513, 1153, 4991, 547, 519, 1448, 602, 789, 723, 1004, 693, 782, 2157, 267, 3056, 1114, 7341, 267, 789, 666, 267, 594, 15475, 267, 2161, 602, 741, 5718, 568, 3927, 7856, 269, 1717, 267, 607, 519, 2856, 540, 7856, 5718, 568, 827, 5578, 1646, 267, 621, 568, 12691, 602, 621, 2731, 814, 606, 1439, 1448, 829, 694, 269, 20518, 5024, 5718, 568, 1945, 602, 3340, 31934, 3007, 543, 1058, 581, 513, 1445, 585, 519, 9972, 3401, 282, 5821, 547, 798, 865, 786, 4440, 1291, 547, 519, 5718, 2203, 1793, 6235, 1394, 547, 811, 2757, 5718, 3631, 267, 602, 1004, 616, 811, 5432, 609, 269, 898, 3217, 513, 24482, 2247, 539, 9972, 6205, 547, 4628, 1174, 875, 547, 15814, 5718, 267, 543, 547, 9784, 519, 1523, 543, 1118, 946, 540, 922, 2407, 1379, 1369, 606, 13539, 563, 1103, 519, 2034, 3368, 540, 713, 9074, 649, 786, 1413, 693, 2081, 540, 2679, 7856, 5718, 1369, 707, 2319, 610, 13539, 267, 543, 2263, 875, 891, 9305, 1394, 547, 3972, 543, 16882, 267, 938, 1079, 2101, 4798, 2429, 891, 13838, 563, 11592, 540, 14506, 912, 1103, 707, 13539, 568, 972, 513, 2631, 540, 5718, 693, 782, 2157, 286, 1684, 596, 1745, 602, 707, 2093, 616, 1134, 4607, 543, 9415, 676, 707, 9972, 3401, 888, 2252, 711, 267, 1946, 798, 596, 1589, 713, 568, 519, 2013, 286, 1403, 9811, 267, 666, 596, 2697, 1880, 19326, 602, 1118, 596, 1745, 6899, 538, 3257, 865, 888, 23114, 4886, 11314, 912, 10932, 630, 1789, 25008, 994, 5649, 713, 2376, 827, 519, 5718, 2511, 693, 5616, 1547, 769, 519, 2376, 789, 2446, 1585, 6163, 540, 5718, 543, 875, 891, 723, 2813, 519, 17888, 5718, 2511, 693, 5616, 269, 769, 707, 5718, 4760, 2328, 707, 9270, 593, 519, 1739, 2798, 912, 268, 634, 2009, 1764, 540, 20518, 3176, 5718, 693, 707, 13539, 563, 268, 634, 17888, 5718, 6163, 602, 596, 1995, 693, 707, 13539, 888, 268, 1215, 2484, 2476, 689, 513, 20518, 3176, 15557, 2203, 707, 13539, 568, 269, 0, 7197, 3552, 8677, 540, 17228, 616, 20715, 269, 4634, 17580, 17228, 666, 2270, 31893, 527, 710, 267, 3289, 23432, 710, 267, 543, 6101, 24957, 563, 4407, 3425, 666, 8532, 891, 6757, 7135, 538, 1507, 9424, 267, 789, 2461, 14686, 585, 1612, 12783, 563, 13640, 12783, 666, 3548, 7735, 17228, 267, 1212, 2381, 328, 17228, 267, 2823, 984, 10314, 17228, 267, 543, 11188, 322, 7236, 17228, 269, 1717, 267, 789, 1590, 581, 23017, 547, 4894, 5739, 13802, 1354, 4616, 563, 5629, 11273, 267, 17228, 616, 513, 1434, 2707, 540, 14434, 267, 6171, 645, 267, 7601, 267, 543, 11379, 563, 4692, 1411, 16376, 3474, 12783, 631, 2313, 7741, 888, 2252, 4558, 1532, 4454, 543, 11273, 267, 596, 666, 3049, 17228, 547, 1612, 12783, 1317, 789, 2461, 912, 268, 4980, 17300, 538, 513, 2635, 1604, 563, 268, 853, 1819, 538, 6099, 2175, 563, 4322, 17228, 723, 606, 3063, 4494, 540, 3106, 602, 596, 4465, 1406, 1205, 609, 3552, 17228, 269, 1717, 267, 2973, 543, 14974, 17228, 1354, 8023, 873, 547, 1612, 12783, 563, 6701, 631, 2313, 7741, 14068, 1280, 3474, 12783, 888, 300, 2313, 7741, 666, 581, 5906, 547, 1612, 12783, 950, 912, 268, 28610, 539, 27235, 563, 268, 16202, 523 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 334, 552, 11188, 1239, 1384, 322, 10604, 318, 652, 15606, 14682, 745, 1842, 815, 524, 10604, 318, 777, 523, 553, 318, 652, 15606, 6983, 4878, 4590, 3712, 14682, 745, 1842, 815, 524, 10604, 318, 652, 15606, 14682, 745, 1842, 269, 652, 5964, 6230, 777, 10857, 10033, 1609, 5964, 281, 1412, 326, 14442, 334, 318, 272, 262, 952, 1609, 5964, 538, 18358, 303, 289, 12887, 14154, 23300, 14030, 4449, 476, 3116, 1412, 326, 14442, 334, 318, 273, 5073, 322, 10604, 318, 652, 15606, 14682, 745, 1842, 9131, 326, 14442, 334, 11172, 815, 897, 14682, 745, 1842, 692, 322, 10604, 318, 652, 15606, 14682, 745, 1842, 692, 13070, 7702, 642, 32115, 989, 745, 1706, 552, 989, 2958, 541, 1384, 322, 10604, 14682, 14442, 334, 318, 698, 14442, 5964, 815, 524, 10604, 318, 652, 15606, 14682, 745, 1842, 3052, 4981, 2421, 8443, 262, 326, 14442, 334, 12887, 11907, 11172, 2020, 322, 10604, 14682, 14442, 334, 318, 698, 14442, 5964, 27904, 10797, 1012, 12379, 743, 18372, 2608, 10574, 293, 29707, 265, 8528, 265, 966, 32115, 989, 7702, 2357, 3473, 30864, 1106, 553, 632, 795, 2863, 541, 798, 529, 522, 340, 544, 9820, 2608, 10574, 293, 29707, 265, 635, 2608, 8161, 265, 522, 340, 897, 684, 553, 900, 635, 636, 16948, 1106, 541, 19804, 18051, 334, 2608, 10574, 20988, 265, 563, 692, 2162, 12379, 743, 18372, 2608, 10574, 293, 29707, 265, 693, 9545, 15530, 632, 6677, 520, 6511, 9809, 383, 369, 525, 692, 265, 1230, 13906, 523, 541, 562, 3385, 544, 9820, 20527, 798, 6446, 834, 3712, 541, 257, 798, 529, 522, 340, 544, 9820, 2608, 10574, 293, 29707, 29688, 23093, 655, 657, 6677, 22760, 541, 11188, 13274, 13757, 522, 340, 11188, 897, 684, 553, 780, 265, 589, 1187, 23843, 6446, 1483, 21289, 513, 6677, 520, 6511, 23843, 20527, 2878, 935, 13906, 1262, 269, 14642, 798, 529, 4661, 657, 544, 9820, 3351, 714, 15606, 521, 14244, 513, 30458, 632, 2608, 10574, 293, 29707, 265, 513, 694, 8145, 6677, 22760, 15606, 552, 2878, 9471, 1262, 267, 593, 1372, 2608, 9471, 815, 476, 271, 265, 2512, 320, 6677, 520, 6511, 23843, 11188, 13274, 3873, 630, 636, 2608, 10574, 20988, 265, 834, 655, 9346, 1460, 334, 257, 798, 856, 549, 264, 552, 2608, 9471, 284, 272, 265, 2512, 320, 6677, 520, 6511, 23843, 11188, 897, 10044, 630, 636, 2608, 10574, 20988, 265, 513, 334, 561, 5964, 798, 856, 549, 6393, 3725, 548, 3387, 516, 798, 2608, 10574, 20988, 265, 2608, 4206, 18380, 5334, 7685, 265, 1384, 4206, 18380, 5334, 7685, 692, 309, 32115, 524, 686, 541, 19804, 18051, 334, 267, 635, 18051, 553, 533, 612, 334, 553, 1384, 338, 24809, 318, 27306, 1228, 318, 2617, 320, 815, 19073, 2529, 7685, 20719, 262, 20606, 334, 9166, 1724, 267, 1412, 4517, 28584, 9166, 476, 1704, 267, 1412, 20694, 663, 516, 9166, 476, 3393, 9574, 2012, 6889, 27306, 1228, 5602, 338, 24809, 318, 303, 525, 334, 318, 2617, 334, 815, 19073, 2529, 7685, 20719, 262, 20606, 334, 9166, 4817, 267, 1412, 4517, 28584, 9166, 476, 4792, 267, 1412, 20694, 663, 516, 9166, 476, 10695, 9574, 2012, 6889, 303, 525, 334, 5602, 338, 24809, 318, 2704, 339, 3120, 318, 2617, 320, 815, 19073, 2529, 7685, 20719, 262, 20606, 334, 9166, 4572, 267, 1412, 4517, 28584, 9166, 476, 11260, 267, 1412, 20694, 663, 516, 9166, 476, 10082, 9574, 2012, 6889, 2704, 339, 3120, 5602, 338, 24809, 318, 810, 321, 1066, 727, 815, 19073, 2529, 7685, 20719, 262, 20606, 334, 9166, 262, 290, 770, 549, 3299, 1412, 4517, 28584, 9166, 262, 290, 770, 549, 3299, 1412, 20694, 663, 516, 9166, 262, 290, 770, 549, 262, 9574, 2012, 8782, 306, 984, 1066, 727, 5073, 323, 20601, 9222, 318, 2617, 334, 815, 27835, 306, 984, 1066, 727, 9166, 338, 24809, 318, 810, 321, 1066, 727, 267, 1412, 303, 525, 334, 9166, 1583, 773, 318, 303, 525, 334, 318, 2617, 334, 267, 3097, 4449, 567, 1412, 27306, 1228, 9166, 1583, 773, 318, 27306, 1228, 318, 2617, 320, 267, 1412, 2704, 339, 3120, 9166, 1583, 773, 318, 2704, 339, 3120, 318, 2617, 320, 8679, 4206, 318, 2617, 334, 815, 19073, 6185, 1092, 20988, 5560, 20601, 9222, 318, 2617, 334, 994, 4206, 318, 2617, 334, 815, 17093, 318, 2617, 334, 269, 817, 793, 263, 8379, 290, 284, 1037, 29254, 318, 2617, 334, 4318, 1998, 3488, 303, 525, 334, 14370, 2704, 339, 3120, 270, 1911, 264, 1262, 273, 30670, 273, 11723, 4206, 318, 2617, 334, 692, 13070, 7702, 642, 32115, 6677, 22760, 5451, 2000, 657, 1384, 335, 323, 26769, 13906, 8443, 4206, 18380, 5334, 7685, 267, 4206, 318, 2617, 334, 8079, 8528, 2162, 1230, 13906, 523, 18372, 11188, 897, 10044, 692, 303, 4673, 12013, 881, 541, 642, 32115, 2015, 541, 15259, 546, 15606, 632, 5046, 13005, 3474, 320, 6403, 9346, 267, 694, 548, 322, 542, 18372, 8732, 657, 18051, 657, 552, 3331, 367, 4226, 657, 18051, 657, 267, 552, 642, 32115, 1073, 614, 13121, 546, 15606, 798, 5696, 553, 559, 3284, 523, 553, 15259, 8732, 657, 552, 3331, 367, 4226, 657, 1019, 5451, 686, 657, 798, 17328, 6403, 338, 267, 552, 642, 32115, 6677, 22760, 5451, 2000, 657, 11188, 897, 10044, 780, 322, 10604, 318, 303, 289, 6831, 553, 657, 318, 984, 527, 657, 815, 546, 15606, 6831, 10604, 318, 303, 289, 314, 9131, 322, 553, 657, 22261, 657, 12887, 984, 527, 657, 22261, 657, 11172, 6540, 309, 32115, 959, 20345, 15259, 546, 15606, 798, 5696, 553, 559, 1384, 322, 10604, 318, 16576, 6831, 553, 657, 318, 984, 527, 657, 815, 524, 10604, 318, 16576, 269, 638, 2044, 3488, 2958, 26820, 2525, 257, 289, 6652, 559, 257, 5073, 322, 10604, 318, 16576, 6831, 553, 657, 318, 984, 527, 657, 815, 524, 10604, 318, 16576, 6831, 553, 657, 318, 984, 527, 657, 15630, 16229, 3488, 11907, 5073, 322, 10604, 318, 16576, 6831, 553, 657, 318, 984, 527, 657, 815, 524, 10604, 318, 16576, 6831, 553, 657, 318, 984, 527, 657, 314, 9131, 322, 553, 657, 22261, 657, 12887, 984, 527, 657, 22261, 657, 11172, 4940, 1066, 877, 263, 19127, 825, 1412, 322, 553, 657, 22261, 657, 9166, 262, 322, 553, 657, 16576, 3299, 1412, 984, 527, 657, 22261, 657, 9166, 262, 984, 527, 657, 16576, 7055, 9574, 7852, 284, 272, 2020, 322, 10604, 318, 303, 289, 6831, 553, 657, 318, 984, 527, 657, 692, 322, 10604, 318, 16576, 6831, 553, 657, 318, 984, 527, 657, 692, 309, 32115, 989, 7702, 6677, 22760, 5451, 2000, 657, 11188, 897, 10044, 1384, 335, 323, 26769, 13906, 8443, 322, 10604, 318, 303, 289, 6831, 553, 657, 318, 984, 527, 657, 267, 524, 10604, 318, 16576, 6831, 553, 657, 318, 984, 527, 657, 3910, 7852, 284, 272, 2020, 303, 4673, 19804, 1135, 2939, 334, 3803, 267, 642, 32115, 2655, 15856, 597, 15259, 1130, 2803, 2608, 27845, 301, 265, 6446, 522, 14585, 516, 1090, 1884, 525, 798, 546, 807, 476, 1724, 632, 15567, 14833, 11188, 476, 271, 269, 3474, 320, 21915, 334, 267, 513, 1106, 320, 4998, 20527, 3351, 714, 18372, 522, 544, 18863, 29081, 2878, 14090, 1262, 1384, 323, 15606, 318, 303, 289, 318, 16576, 815, 19073, 26769, 13906, 8443, 322, 10604, 318, 303, 289, 6831, 553, 657, 318, 984, 527, 657, 267, 524, 10604, 318, 16576, 6831, 553, 657, 318, 984, 527, 657, 3910, 7852, 284, 272, 994, 323, 15606, 318, 303, 289, 318, 16576, 9131, 322, 553, 657, 22261, 657, 11172, 815, 546, 15606, 318, 303, 289, 318, 16576, 6983, 553, 657, 22261, 657, 6230, 777, 10857, 10033, 8732, 334, 281, 476, 271, 952, 5286, 18994, 22974, 6262, 553, 334, 264, 3116, 8732, 334, 1040, 770, 4286, 3488, 842, 5073, 323, 15606, 318, 303, 289, 318, 16576, 9131, 984, 527, 657, 22261, 657, 11172, 815, 546, 15606, 318, 303, 289, 318, 16576, 269, 984, 527, 657, 22261, 657, 6230, 777, 10857, 10033, 1073, 17010, 281, 476, 271, 952, 5286, 18994, 22974, 263, 984, 17010, 264, 3116, 1073, 17010, 1040, 770, 4286, 3488, 842, 5073, 323, 15606, 318, 303, 289, 318, 16576, 692, 1012, 12379, 743, 18372, 2608, 10574, 293, 29707, 265, 693, 9545, 15530, 632, 2608, 14765, 1231, 22177, 265, 3474, 320, 1483, 714, 541, 2608, 14765, 1231, 265, 476, 790, 21573, 3351, 714, 541, 513, 1187, 23843, 2878, 1067, 613, 1262, 798, 2608, 335, 663, 553, 29688, 8528, 265, 2608, 14765, 1231, 265, 9723, 600, 5918, 553, 512, 8475, 553, 267, 579, 2742, 512, 8475, 320, 20221, 1965, 20960, 6767, 552, 579, 2742, 20221, 25680, 7534, 552, 1427, 1941, 600, 579, 2742, 1768, 576, 4275, 512, 8475, 320, 25077, 334, 513, 796, 328, 14244, 546, 553, 897, 684, 553, 546, 553, 5918, 553, 512, 8475, 553, 780, 2750, 626, 655, 476, 275, 9133, 657, 632, 2608, 14765, 1231, 265, 1384, 265, 2608, 3847, 6443, 15846, 589, 5155, 553, 3352, 14244, 3284, 732, 1356, 15259, 2608, 8161, 265, 630, 6767, 13274, 3873, 264, 6446, 2291, 655, 14255, 512, 8475, 320, 20221, 1965, 20960, 6767, 3248, 265, 2608, 2431, 6443, 15846, 589, 5155, 553, 3352, 14244, 3284, 732, 1356, 15259, 2608, 8161, 265, 630, 6767, 13274, 3873, 264, 6446, 2291, 655, 14255, 512, 8475, 320, 20221, 25680, 7534, 3248, 265, 2608, 27903, 6443, 15846, 589, 5155, 553, 3352, 14244, 3284, 732, 1356, 15259, 2608, 8161, 265, 6446, 2291, 655, 13439, 5918, 553, 512, 8475, 553, 3248, 265, 2608, 21459, 6443, 265, 522, 340, 2608, 537, 614, 6443, 15846, 3352, 14244, 3284, 732, 1356, 547, 323, 657, 15259, 2608, 8161, 265, 546, 553, 5918, 553, 512, 8475, 553, 780, 303, 4673, 12013, 881, 541, 642, 32115, 2015, 541, 798, 529, 2608, 10574, 293, 29707, 265, 630, 320, 638, 328, 512, 699, 21573, 2367, 657, 13274, 13757, 552, 562, 2345, 552, 546, 15606, 535, 1112, 6403, 857, 657, 1040, 744, 6305, 10098, 2608, 10574, 20988, 265, 2874, 597, 5451, 632, 715, 2345, 632, 620, 684, 657, 267, 8713, 293, 552, 1319, 337, 6403, 1529, 320, 13005, 772, 17025, 289, 552, 2256, 2041, 522, 562, 727, 632, 2608, 333, 727, 6831, 335, 325, 318, 3901, 29688, 744, 5302, 1495, 334, 2608, 10574, 20988, 265, 2874, 597, 5451, 632, 715, 727, 267, 8713, 293, 552, 552, 17733, 552, 2256, 2041, 522, 562, 727, 632, 2608, 333, 727, 6831, 335, 325, 318, 16942, 265, 780, 301, 657, 810, 1073, 27826, 16343, 20527, 524, 686, 541, 19804, 18051, 334, 2608, 10574, 20988, 265, 25077, 334, 715, 727, 267, 8713, 293, 267, 1319, 337, 6403, 1529, 320, 552, 552, 17733, 780, 307, 655, 657, 513, 25475, 513, 5302, 340, 842, 324, 2198, 320, 23843, 1384, 5591, 2608, 10574, 20988, 265, 2608, 333, 727, 6831, 335, 325, 318, 3901, 265, 2291, 655, 620, 684, 657, 6446, 562, 14244, 1609, 14244, 1459, 525, 1100, 2608, 333, 727, 6831, 335, 325, 318, 16942, 24682, 1093, 529, 562, 14244, 26195, 3511, 600, 1609, 320, 1217, 320, 23843, 780, 5591, 2608, 10574, 20988, 265, 2608, 333, 727, 6831, 335, 325, 318, 16942, 265, 2291, 655, 620, 684, 657, 6446, 562, 14244, 1609, 14244, 1459, 525, 1100, 2608, 333, 727, 6831, 335, 325, 318, 3901, 265, 1093, 529, 1609, 525, 562, 14244, 521, 14244, 620, 684, 657, 13005, 772, 17025, 289, 780, 333, 727, 6831, 335, 325, 318, 3901, 815, 19073, 18667, 32269, 3488, 6187, 321, 5991, 727, 6831, 335, 325, 318, 3901, 27406, 5073, 333, 727, 6831, 335, 325, 318, 16942, 815, 19073, 18667, 32269, 3488, 6187, 321, 5991, 727, 6831, 335, 325, 318, 16942, 27406, 17210, 309, 32115, 989, 7702, 29593, 579, 2742, 981, 514, 3385, 562, 657, 2608, 10574, 293, 29707, 29688, 1290, 334, 521, 14244, 581, 332, 1138, 1255, 267, 536, 770, 320, 1483, 714, 541, 2608, 21646, 265, 1642, 525, 780, 333, 727, 6831, 335, 325, 318, 3901, 692, 333, 727, 6831, 335, 325, 318, 16942, 692, 31738, 545, 3512, 324, 20527, 17177, 1502, 340, 597, 2608, 8161, 265, 3331, 374, 5371, 657, 269, 29321, 324, 2366, 18480, 267, 642, 32115, 2822, 597, 522, 8713, 293, 635, 334, 2608, 8161, 265, 1384, 333, 727, 6831, 335, 325, 318, 3901, 815, 562, 727, 6831, 335, 325, 318, 3901, 15630, 16229, 3488, 9573, 293, 5073, 333, 727, 6831, 335, 325, 318, 16942, 815, 562, 727, 6831, 335, 325, 318, 16942, 15630, 16229, 3488, 9573, 293, 17210, 309, 32115, 989, 7702, 1483, 714, 541, 19804, 2878, 3847, 1262, 6443, 635, 522, 2608, 10574, 20988, 265, 2878, 333, 727, 6831, 335, 325, 318, 3901, 1262, 535, 545, 18372, 20221, 1965, 20960, 6767, 630, 333, 652, 324, 8732, 334, 267, 3284, 523, 553, 620, 684, 657 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2669, 540, 1010, 9632, 7015, 267, 795, 24944, 32650, 15326, 795, 337, 5641, 513, 14692, 269, 634, 1272, 540, 795, 325, 330, 267, 476, 3374, 628, 7022, 540, 519, 8087, 2829, 267, 689, 1010, 2038, 519, 2112, 1066, 10243, 729, 1572, 547, 8495, 32650, 15326, 781, 2669, 543, 563, 2304, 2363, 1168, 5893, 2272, 540, 519, 26923, 540, 7022, 32650, 15326, 519, 15493, 10160, 540, 519, 16232, 1929, 748, 710, 543, 8678, 513, 5179, 322, 1228, 602, 1131, 26603, 677, 13314, 781, 6205, 547, 1010, 2669, 1775, 1810, 1405, 1589, 1775, 2479, 4718, 4896, 865, 1454, 4805, 538, 1250, 1272, 269, 3627, 3514, 345, 23878, 32650, 15326, 630, 16673, 476, 3066, 267, 476, 4489, 278, 1107, 562, 4912, 476, 2420, 267, 476, 3422, 274, 1070, 4122, 5219, 547, 676, 1010, 1310, 32650, 15326, 781, 2669, 267, 18322, 21892, 1082, 540, 1010, 18747, 267, 1519, 519, 3540, 2924, 543, 519, 8907, 6411, 540, 476, 3422, 275, 2322, 1927, 513, 4670, 13886, 519, 721, 6845, 1807, 14646, 535, 32650, 15326, 1650, 267, 799, 17820, 513, 1554, 538, 519, 1272, 540, 269, 3627, 535, 32650, 15326, 267, 519, 476, 3374, 628, 721, 7022, 267, 7858, 7007, 519, 6046, 1449, 1532, 534, 14097, 543, 15748, 519, 19710, 585, 3356, 1451, 811, 827, 795, 325, 330, 781, 1272, 543, 269, 5131, 3594, 689, 536, 691, 548, 2421, 1923, 27504, 9305, 538, 1272, 543, 9039, 538, 2669, 1034, 1004, 917, 14646, 535, 32650, 15326, 607, 519, 476, 3374, 628, 7022, 540, 519, 8087, 2829, 267, 519, 563, 11990, 32650, 15326, 781, 7819, 6280, 2232, 729, 547, 1010, 2669, 538, 546, 23775, 607, 899, 513, 3984, 540, 824, 3677, 31032, 3734, 5515, 1775, 2760, 13948, 6785, 267, 1010, 14646, 5500, 649, 15991, 6785, 9493, 281, 8823, 540, 14646, 3514, 345, 23878, 32650, 15326, 267, 2059, 269, 3502, 1279, 1310, 519, 26923, 540, 7022, 14646, 535, 32650, 15326, 538, 476, 3422, 274, 267, 519, 513, 1592, 540, 1312, 24726, 4503, 741, 1453, 1247, 2713, 538, 519, 3043, 2777, 13274, 11181, 729, 476, 6321, 1296, 2025, 693, 519, 942, 540, 1010, 2669, 32650, 15326, 729, 476, 5379, 1296, 2025, 950, 646, 5747, 269, 3627, 535, 32650, 15326, 781, 1028, 553, 1588, 729, 513, 1554, 540, 3084, 31366, 646, 10710, 519, 2729, 540, 5128, 543, 1776, 17199, 676, 10977, 547, 606, 6532, 609, 519, 621, 568, 513, 13357, 971, 513, 1390, 812, 729, 7166, 1055, 3274, 1317, 646, 6785, 513, 2370, 1932, 1454, 563, 11990, 535, 32650, 15326, 267, 5856, 281, 12632, 538, 10100, 14646, 3514, 345, 23878, 32650, 15326, 729, 4535, 593, 949, 476, 3066, 267, 476, 4489, 278, 538, 2156, 758, 1467, 267, 2527, 11637, 267, 547, 9782, 1294, 2407, 6915, 9732, 269, 17823, 1399, 1296, 1310, 795, 325, 330, 781, 2669, 938, 31117, 609, 24242, 6436, 538, 1483, 1272, 267, 646, 729, 513, 31510, 1355, 6720, 553, 626, 267, 513, 32398, 554, 895, 543, 513, 5186, 12097, 13005, 547, 6666, 538, 593, 519, 476, 2004, 628, 16683, 540, 14646, 535, 32650, 15326, 781, 26923, 593, 269, 5518, 795, 325, 32650, 15326, 543, 795, 659, 638, 5202, 32650, 15326, 21945, 693, 2648, 2361, 538, 23122, 3045, 25555, 519, 7022, 781, 2669, 267, 799, 519, 2046, 5359, 538, 1483, 942, 598, 333, 958, 9738, 585, 519, 1964, 540, 1010, 1272, 602, 646, 729, 13351, 676, 513, 269, 6206, 2621, 538, 519, 1272, 540, 14646, 535, 32650, 15326, 679, 9871, 19508, 29953, 12766, 24628, 267, 1651, 14646, 32650, 15326, 5128, 1185, 18923, 23012, 2669, 538, 6370, 4971, 532, 513, 29862, 563, 8340, 856, 811, 827, 519, 1686, 540, 14646, 535, 32650, 15326, 267, 1519, 7044, 267, 519, 1158, 543, 5828, 519, 782, 3562, 334, 25993, 32650, 15326, 883, 513, 3677, 31032, 3734, 24123, 4137, 1010, 4587, 7015, 267, 3675, 324, 795, 337, 267, 729, 711, 865, 26752, 281, 646, 729, 7166, 538, 27362, 476, 3707, 275, 950, 269, 2201, 562, 4912, 476, 2420, 267, 476, 3422, 274, 267, 519, 1158, 8593, 883, 31366, 950, 7022, 14646, 535, 32650, 15326, 729, 18272, 3990, 538, 546, 23775, 4585, 513, 3381, 827, 602, 13249, 1554, 602, 269, 11427, 32650, 15326, 4682, 538, 609, 519, 2713, 7022, 543, 1447, 982, 5662, 2663, 3357, 856, 609, 519, 4666, 812, 538, 513, 19730, 30756, 514, 267, 799, 8452, 16172, 1310, 1079, 20577, 1185, 563, 2690, 513, 8717, 1991, 547, 1010, 2669, 2443, 543, 5176, 607, 1082, 1296, 1310, 646, 729, 18272, 3990, 2443, 1272, 12139, 14360, 519, 1764, 540, 513, 1762, 269, 476, 272, 910, 519, 1310, 5158, 540, 14646, 3514, 345, 23878, 32650, 15326, 281, 606, 4367, 6032, 476, 272, 268, 1428, 476, 276, 910, 538, 2669, 972, 568, 1272, 281, 20375, 540, 1957, 543, 4050, 6032, 476, 6200, 268, 14096, 269, 2201, 519, 8317, 540, 7022, 14646, 535, 32650, 15326, 781, 14512, 267, 1934, 781, 513, 1310, 1010, 13249, 2669, 267, 1034, 540, 1010, 1272, 814, 1044, 2854, 827, 538, 1390, 1469, 269, 3571, 2669, 28280, 22988, 543, 1004, 1472, 519, 1158, 7022, 32650, 15326, 2221, 593, 607, 621, 568, 649, 1867, 593, 519, 1272, 540, 14646, 535, 32650, 15326, 563, 11990, 535, 32650, 15326, 781, 16232, 9930, 1588, 10343, 4633, 547, 519, 952, 649, 3136, 547, 1694, 593, 4666, 4099, 267, 952, 649, 1543, 6000, 609, 519, 2653, 1272, 543, 519, 269, 634, 1272, 543, 2669, 540, 14646, 535, 32650, 15326, 476, 866, 28774, 20650, 1205, 1152, 952, 789, 917, 5158, 9364, 3768, 334, 1402, 706, 560, 585, 22946, 1993, 3306, 649, 6836, 22946, 1993, 3306, 281, 1934, 781, 1018, 269, 6258, 827, 519, 1272, 543, 9371, 540, 14646, 535, 32650, 15326, 519, 4087, 568, 1141, 519, 7022, 6170, 1010, 2063, 3781, 543, 12038, 1010, 3803, 18531, 1354, 1010, 2669, 269, 1280, 519, 1101, 942, 267, 3173, 723, 2650, 1027, 1927, 513, 2143, 1650, 540, 14646, 535, 32650, 15326, 781, 1394, 1928, 267, 1010, 11983, 23361, 267, 2564, 20241, 269, 0, 1607, 1131, 979, 513, 1279, 1259, 538, 1818, 1919, 1732, 269, 20323, 267, 519, 11156, 540, 3127, 1705, 711, 2270, 1022, 1592, 540, 4909, 11645, 563, 4322, 6810, 723, 5207, 2956, 538, 938, 11156, 267, 799, 729, 4646, 538, 4505, 543, 676, 938, 4790, 15856, 550, 1306, 14517, 269, 2368, 540, 519, 4909, 9021, 5018, 538, 519, 9139, 540, 3127, 616, 899, 2463, 547, 519, 2817, 25035, 267, 519, 2817, 4165, 1335, 267, 4961, 1590, 9718, 741, 2197, 267, 3479, 547, 1683, 2817, 3028, 8164, 2838, 267, 16102, 519, 1857, 3959, 267, 3092, 563, 4131, 721, 581, 1360, 2312, 602, 972, 666, 581, 1100, 2924, 1510, 606, 3160, 2268, 540, 7222, 11645, 610, 9021, 269, 5272, 1318, 610, 10279, 3322, 513, 6125, 540, 17185, 269, 634, 2956, 540, 4909, 11645, 616, 12006, 2630, 281, 634, 11645, 11311, 267, 18220, 930, 540, 519, 5207, 16431, 840, 3737, 676, 938, 1390, 25598, 267, 15806, 267, 1514, 6963, 619, 543, 2797, 3401, 563, 763, 3375, 540, 10966, 7040, 3361, 20714, 766, 538, 3127, 269, 1809, 713, 568, 711, 849, 3020, 538, 2407, 2283, 523, 1317, 519, 15784, 540, 6388, 540, 10279, 14340, 538, 4583, 2013, 540, 4437, 329, 4141, 2506, 2006, 783, 642, 269, 634, 4909, 11645, 616, 4061, 5497, 547, 4196, 607, 513, 3586, 12576, 547, 1169, 12504, 602, 4909, 11645, 1557, 948, 11156, 4481, 24705, 1042, 593, 873, 1978, 4909, 2924, 563, 2171, 782, 616, 12504, 540, 938, 2197, 543, 723, 1585, 2924, 543, 9021, 2509, 938, 8498, 267, 2749, 267, 2486, 267, 1533, 543, 4909, 11645, 1557, 948, 269, 9406, 547, 25799, 3816, 12203, 281, 2060, 713, 3510, 2348, 11478, 585, 5756, 649, 1152, 3136, 547, 581, 1360, 1134, 3222, 540, 938, 2924, 593, 782, 18651, 1206, 855, 11613, 17399, 656, 540, 519, 7222, 11645, 563, 2414, 2149, 519, 2197, 689, 3544, 543, 3330, 6285, 799, 30001, 4961, 540, 3127, 15508, 543, 9308, 282, 11904, 3084, 3028, 950, 972, 568, 991, 547, 798, 865, 269, 1358, 666, 581, 18523, 11645, 610, 5837, 11645, 799, 3112, 581, 24451, 16155, 2390, 519, 4961, 1256, 676, 519, 10470, 563, 22746, 2924, 2061, 519, 2229, 689, 1373, 9598, 31247, 543, 16970, 269, 1703, 941, 1100, 4909, 11645, 12873, 538, 519, 9139, 540, 3127, 950, 621, 3357, 883, 3196, 538, 898, 5795, 10385, 538, 12797, 540, 519, 813, 749, 656, 563, 2414, 1020, 519, 1480, 1143, 267, 3621, 2191, 543, 519, 6891, 540, 6963, 543, 14374, 269, 769, 713, 4276, 267, 594, 1131, 899, 547, 1448, 856, 602, 267, 538, 3127, 267, 1256, 519, 865, 10777, 13473, 616, 711, 2731, 3222, 540, 741, 11645, 267, 543, 267, 621, 568, 713, 602, 2306, 519, 3510, 5906, 543, 29070, 585, 519, 2197, 563, 2005, 568, 519, 4909, 10279, 540, 782, 4961, 547, 2463, 543, 1246, 891, 2418, 540, 938, 5191, 269, 898, 568, 1360, 1271, 4909, 1318, 799, 2306, 1004, 2111, 547, 2769, 741, 4555, 543, 2093, 998, 4633, 267, 1603, 610, 824, 1797, 563, 2690, 3236, 267, 538, 519, 1920, 782, 1453, 3100, 547, 917, 602, 267, 8726, 972, 568, 538, 519, 2777, 568, 741, 338, 267, 789, 723, 513, 1318, 593, 621, 782, 563, 1103, 519, 5822, 6164, 1047, 267, 602, 568, 513, 1533, 540, 3501, 5191, 540, 9117, 543, 8741, 532, 540, 741, 1378, 22590, 543, 7606, 607, 789, 1589, 3514, 1369, 519, 23451, 540, 1557, 593, 4909, 11645, 540, 4961, 540, 15242, 1876, 540, 2470, 563, 2005, 7575, 2509, 17284, 543, 547, 1683, 25471, 543, 1863, 2069, 547, 782, 4961, 540, 3127, 269, 3776, 2924, 616, 2495, 1652, 1510, 11645, 3976, 1312, 616, 538, 29323, 762, 269, 6270, 2924, 543, 9021, 616, 1360, 1271, 585, 2817, 1719, 540, 519, 2197, 2705, 711, 3196, 2685, 24451, 547, 519, 1004, 563, 4407, 851, 8633, 5627, 4909, 2924, 568, 1175, 545, 4192, 267, 851, 10001, 5627, 519, 1463, 633, 3741, 568, 711, 563, 2710, 789, 2479, 849, 8275, 602, 789, 723, 930, 11645, 849, 2509, 741, 3237, 267, 741, 22594, 543, 519, 1753, 267, 610, 4896, 3116, 538, 519, 1753, 286, 634, 11156, 23933, 1524, 602, 621, 568, 519, 4909, 10279, 540, 1169, 12504, 547, 695, 684, 5208, 543, 547, 2149, 1857, 3959, 563, 3719, 519, 4095, 11156, 1281, 711, 1683, 585, 519, 11268, 540, 519, 11645, 269, 1717, 267, 2059, 609, 891, 972, 568, 1459, 606, 6418, 3929, 543, 5626, 9322, 540, 519, 1004, 540, 3127, 269, 7126, 543, 4909, 11645, 1557, 948, 979, 1688, 538, 1688, 609, 721, 1141, 649, 2661, 538, 8726, 1753, 267, 2486, 267, 8498, 267, 1533, 267, 610, 2197, 563, 26807, 4909, 11645, 616, 607, 5205, 1677, 2463, 519, 11156, 543, 1246, 922, 5238, 543, 16431, 267, 519, 3084, 1884, 1335, 543, 519, 3084, 9206, 269, 5221, 538, 12671, 4095, 2717, 640, 1557, 593, 4909, 11645, 540, 4961, 540, 15242, 9139, 269, 769, 2013, 540, 2924, 19374, 540, 2576, 267, 10470, 666, 2149, 543, 16102, 873, 563, 22746, 4909, 2924, 666, 581, 12012, 676, 519, 12057, 1210, 2027, 5650, 269, 9137, 589, 23933, 1524, 4557, 11645, 267, 799, 4927, 581, 4553, 676, 1169, 12504, 540, 3127, 563, 9617, 607, 519, 7126, 8189, 8952, 606, 3750, 936, 1004, 711, 3478, 741, 1813, 2924, 519, 667, 583, 625, 8189, 1131, 1246, 1022, 267, 1004, 859, 8172, 667, 583, 625, 2443, 543, 19439, 519, 859, 19470, 563, 1103, 713, 2013, 267, 519, 10615, 540, 5398, 27491, 267, 29242, 9783, 513, 9764, 267, 2687, 547, 799, 519, 1053, 540, 782, 519, 3506, 1058, 2206, 2817, 4165, 1335, 693, 741, 1153, 1317, 621, 568, 707, 4909, 10279, 547, 2463, 938, 2817, 25035, 543, 4165, 1335, 563, 1103, 3127, 476, 2412, 1296, 1310, 7115, 621, 729, 5433, 602, 972, 729, 513, 17386, 991, 547, 1118, 519, 1004, 811, 6857, 540, 741, 11645, 2509, 519, 4182, 269, 1452, 2924, 616, 1360, 1898, 547, 16102, 519, 4690, 540, 519, 1004, 269, 5978, 9139, 3947, 721, 930, 824, 2924, 799, 616, 1634, 607, 27284, 7126, 563, 4322, 2924, 3112, 581, 3144, 1394, 538, 3339, 2053, 269, 634, 9139, 3947, 721, 3670, 4909, 2924, 269, 634, 1739, 616, 519, 4909, 2924, 2016, 676, 938, 9139, 269, 476, 272, 269, 9406, 547, 15213, 281, 9406, 547, 5191, 568, 606, 1271, 4909, 1318, 269, 6435, 519, 18648, 543, 3026, 9037, 543, 3629, 1390, 9869, 20890, 547, 1312, 1656, 538, 1250, 6644, 267, 649, 711, 1152, 1224, 713, 2186, 540, 513, 1557, 543, 4734, 513, 4909, 2924, 543, 4909, 11645, 540, 21944, 4961, 1403, 24455, 781, 27284, 7126, 616, 26991, 676, 3196, 646, 610, 1352, 666, 979, 547, 519, 5480, 5275, 3656 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3875, 2200, 1519, 2407, 1257, 4930, 543, 12326, 666, 581, 1336, 593, 519, 1357, 269, 20472, 22999, 1565, 1374, 1118, 1114, 10096, 540, 4020, 22999, 1565, 3069, 540, 519, 3510, 676, 2933, 609, 1489, 543, 5583, 689, 269, 4317, 1646, 3069, 476, 274, 1296, 3516, 3040, 4020, 22999, 519, 1990, 335, 323, 568, 519, 3845, 1063, 513, 2875, 779, 2702, 547, 1685, 513, 4305, 896, 2937, 5583, 543, 5924, 269, 966, 17789, 1824, 5652, 781, 3069, 593, 4020, 13659, 1281, 711, 15666, 547, 519, 2856, 602, 513, 2582, 7493, 6240, 568, 2111, 547, 2491, 789, 941, 2016, 5583, 689, 269, 0, 2171, 3513, 1491, 513, 1413, 693, 875, 891, 9053, 1565, 6163, 1020, 607, 1134, 607, 875, 596, 1107, 713, 568, 513, 3896, 602, 3091, 1614, 1114, 1565, 2511, 4255, 543, 269, 4804, 6163, 616, 513, 1305, 540, 10054, 1472, 875, 2576, 3096, 519, 1614, 1034, 11855, 1565, 6163, 616, 281, 1018, 649, 798, 917, 568, 602, 1004, 1451, 538, 1114, 269, 476, 1001, 279, 268, 279, 268, 1704, 713, 16122, 5012, 547, 1614, 2565, 602, 1565, 6163, 616, 513, 1599, 540, 513, 1390, 4308, 827, 519, 2360, 540, 1114, 1565, 4485, 609, 563, 1001, 274, 268, 276, 268, 1704, 3025, 16137, 8335, 267, 602, 779, 4986, 1007, 2705, 267, 936, 519, 1296, 519, 1114, 6163, 540, 1565, 723, 2356, 1044, 2759, 1524, 547, 3308, 267, 2168, 630, 16753, 8386, 1673, 21749, 1070, 610, 2912, 1043, 5168, 568, 267, 649, 1223, 4440, 26819, 1142, 540, 891, 1565, 1614, 6163, 1524, 1256, 2417, 543, 12446, 693, 513, 19625, 269, 18833, 707, 1565, 6163, 568, 1883, 547, 2417, 532, 707, 4876, 910, 1934, 779, 513, 15059, 540, 476, 274, 1114, 1565, 6163, 547, 948, 596, 1265, 16523, 269, 476, 1001, 277, 268, 279, 268, 276, 1451, 519, 476, 274, 1114, 1565, 6163, 649, 946, 547, 1184, 543, 11677, 1344, 267, 607, 1134, 607, 519, 1034, 2500, 3318, 2866, 2409, 585, 1142, 563, 1001, 272, 268, 278, 268, 1321, 1247, 519, 1382, 814, 3254, 513, 4276, 609, 23857, 543, 1565, 6163, 585, 513, 1114, 4305, 1362, 1227, 267, 938, 1565, 2511, 568, 782, 1614, 6163, 269, 901, 5816, 6212, 593, 1614, 1114, 2010, 540, 1565, 6163, 3308, 1565, 267, 17391, 1565, 543, 737, 2088, 20469, 1565, 621, 849, 8711, 875, 7114, 707, 1565, 269, 476, 1001, 273, 268, 1321, 268, 2190, 952, 513, 3992, 1544, 16621, 782, 1614, 1565, 2010, 267, 546, 1014, 324, 530, 5063, 6836, 513, 1007, 3635, 609, 1200, 1053, 602, 729, 5363, 547, 782, 1614, 1565, 6163, 11783, 476, 1001, 276, 268, 274, 268, 2537, 1565, 2511, 568, 1271, 585, 1082, 4128, 2705, 267, 972, 616, 1614, 4105, 3283, 1101, 540, 782, 267, 1004, 779, 1565, 6163, 786, 4268, 1317, 3025, 568, 1114, 689, 835, 563, 1001, 274, 268, 279, 268, 273, 519, 1198, 540, 1565, 6163, 593, 9740, 538, 1114, 840, 1790, 739, 339, 3949, 1519, 476, 1789, 3688, 7282, 519, 5615, 547, 581, 6591, 538, 1614, 1114, 1565, 269, 476, 1001, 272, 268, 277, 268, 1428, 519, 3604, 540, 1565, 6163, 1063, 19580, 543, 579, 910, 17276, 366, 486, 421, 506, 366, 32517, 350, 26266, 354, 476, 6187, 22614, 374, 356, 476, 278, 22614, 493, 511, 476, 1220, 5038, 273, 1001, 5881, 274, 277, 519, 8428, 22614, 503, 378, 18021, 355, 421, 355, 500, 421, 350, 369, 22614, 503, 375, 25051, 499, 13127, 488, 510, 24662, 24757, 18021, 497, 341, 760, 789, 12799, 23616, 3634, 1614, 269, 2913, 781, 2736, 621, 1524, 281, 972, 616, 3622, 1614, 1114, 1565, 6163, 281, 3308, 267, 17391, 267, 543, 10252, 20469, 3308, 281, 596, 1451, 676, 8384, 610, 269, 7756, 2010, 540, 1565, 6163, 17391, 267, 543, 737, 2088, 20469, 267, 799, 616, 519, 1614, 1565, 6163, 741, 10096, 267, 543, 519, 3604, 1063, 873, 11783, 476, 1001, 279, 268, 279, 268, 1240, 607, 7855, 267, 649, 917, 602, 782, 1053, 723, 1114, 1565, 6163, 1934, 616, 1614, 4388, 547, 948, 2327, 596, 1331, 3025, 538, 519, 1565, 1184, 563, 13981, 6163, 616, 1419, 1934, 649, 666, 1294, 519, 5042, 2773, 540, 1614, 1114, 952, 596, 610, 2576, 596, 2648, 568, 10010, 609, 1565, 269, 13760, 707, 2319, 2818, 262, 9053, 1505, 540, 1565, 609, 519, 642, 752, 1565, 6163, 1004, 781, 1114, 6163, 540, 1565, 1614, 1565, 6163, 269, 476, 1001, 274, 268, 277, 268, 736, 1582, 12431, 20156, 281, 1565, 6163, 972, 616, 1614, 2596, 2010, 540, 1565, 6163, 519, 1614, 616, 3308, 267, 621, 568, 711, 8966, 547, 946, 1114, 1565, 6163, 585, 269, 476, 1001, 279, 268, 276, 268, 2537, 4388, 585, 7855, 593, 8383, 908, 1114, 1565, 6163, 2630, 649, 723, 519, 1614, 2101, 1565, 6163, 543, 2576, 609, 513, 3308, 1565, 2511, 269, 476, 1001, 274, 268, 1556, 268, 1839, 1614, 1114, 1565, 6163, 3308, 6267, 2854, 1893, 610, 5961, 543, 7851, 899, 4116, 547, 2328, 593, 4604, 563, 1001, 276, 268, 1321, 268, 279, 1018, 781, 707, 1565, 2511, 1614, 1114, 1565, 6163, 952, 596, 20639, 6140, 513, 781, 596, 949, 723, 513, 3308, 1565, 2511, 596, 1451, 676, 7487, 543, 3168, 269, 476, 1001, 275, 268, 278, 268, 2537, 476, 274, 2081, 547, 1544, 585, 3309, 6267, 281, 1018, 3610, 798, 676, 14646, 544, 764, 14390, 344, 543, 538, 519, 1985, 1614, 9708, 267, 1719, 2861, 1565, 1565, 6163, 269, 1684, 596, 1174, 519, 1114, 2010, 540, 1565, 6163, 1020, 707, 1565, 1983, 609, 2247, 339, 8962, 1260, 269, 15526, 16137, 8335, 3610, 991, 547, 4188, 741, 6044, 547, 2743, 519, 3309, 2115, 540, 1053, 538, 519, 4928, 972, 616, 1896, 1806, 540, 1114, 1565, 6163, 602, 513, 4116, 1223, 2097, 2066, 563, 1001, 279, 268, 279, 268, 273, 596, 1522, 1589, 602, 972, 779, 1152, 835, 1259, 547, 1451, 1945, 910, 543, 596, 1131, 581, 4636, 596, 949, 711, 723, 1634, 602, 596, 666, 14974, 1524, 519, 1585, 2081, 540, 1565, 883, 476, 279, 1114, 6163, 267, 543, 1007, 1382, 2982, 602, 891, 1114, 1565, 6163, 949, 1256, 581, 17429, 1027, 689, 9416, 21646, 267, 540, 782, 269, 5441, 3341, 585, 1114, 2010, 540, 476, 1704, 952, 596, 4465, 513, 3014, 267, 799, 540, 891, 1614, 26065, 1131, 596, 946, 513, 2780, 547, 12927, 1565, 998, 519, 2631, 540, 563, 1001, 273, 268, 1015, 268, 866, 15268, 2228, 2069, 547, 1114, 1565, 6163, 546, 10005, 795, 18665, 597, 267, 1614, 11890, 540, 1445, 593, 1114, 1565, 6163, 269, 476, 1001, 274, 268, 278, 268, 2537, 1451, 4162, 543, 3450, 2994, 602, 5330, 609, 519, 1614, 1292, 1565, 6163, 540, 707, 1053, 269, 476, 1001, 277, 268, 272, 268, 1556, 13127, 484, 483, 14395, 373, 418, 493, 494, 419, 353, 374, 16088, 11239, 6163, 543, 30095, 2418, 1114, 10459, 723, 11239, 6163, 602, 2992, 1114, 30095, 2418, 1491, 513, 1413, 693, 519, 1614, 269, 476, 1001, 279, 268, 278, 268, 276, 649, 786, 4166, 581, 6849, 513, 13781, 609, 476, 276, 1114, 5481, 2324, 7258, 1142, 824, 1934, 616, 1565, 6163, 547, 3514, 782, 5481, 269, 0, 288, 7400, 3860, 1603, 3594, 18008, 17440, 3594, 476, 2190, 3108, 538, 561, 5064, 1557, 948, 593, 1603, 606, 4367, 585, 606, 1557, 1018, 781, 513, 5098, 585, 2852, 269, 3943, 607, 1377, 2489, 4367, 476, 272, 18008, 513, 268, 1377, 2489, 4367, 10950, 547, 707, 513, 7400, 18008, 1576, 713, 4367, 1058, 269, 634, 1576, 786, 1628, 593, 707, 4540, 1983, 540, 6340, 267, 6947, 267, 2542, 543, 1603, 998, 519, 1353, 540, 4798, 971, 607, 1373, 513, 1762, 1268, 538, 519, 18008, 269, 589, 1377, 6030, 513, 2157, 616, 519, 4154, 3044, 540, 519, 21099, 2069, 1062, 519, 18008, 513, 1377, 1576, 786, 948, 1053, 1020, 8746, 269, 589, 7400, 18008, 513, 7400, 11585, 519, 513, 7400, 1576, 568, 513, 476, 273, 4458, 5276, 835, 609, 18362, 693, 519, 1439, 540, 713, 1974, 536, 657, 10290, 4830, 2852, 269, 13724, 543, 26821, 707, 18008, 1893, 1983, 1991, 547, 707, 513, 1377, 11400, 593, 513, 3368, 3856, 267, 1574, 614, 610, 4832, 14469, 1576, 538, 535, 8896, 267, 609, 524, 525, 320, 4654, 563, 2750, 600, 7041, 1576, 585, 18008, 968, 320, 1377, 5608, 968, 553, 1377, 892, 543, 968, 597, 880, 6028, 15149, 892, 1053, 945, 568, 713, 1576, 585, 713, 1576, 568, 6322, 5097, 269, 634, 18008, 513, 1377, 1576, 689, 3404, 5112, 1753, 18375, 13976, 593, 513, 1053, 1702, 948, 596, 5968, 16900, 538, 18008, 19545, 3769, 269, 2311, 476, 923, 1451, 267, 649, 1118, 621, 2653, 585, 596, 547, 2744, 513, 1007, 513, 1377, 28730, 649, 1174, 602, 596, 723, 513, 11112, 1272, 1107, 602, 779, 1946, 4974, 606, 2228, 1576, 609, 721, 269, 3371, 267, 596, 3513, 1265, 3388, 596, 991, 547, 5965, 585, 519, 2242, 547, 1196, 1410, 4897, 607, 543, 513, 1377, 1686, 689, 476, 1001, 276, 17440, 28007, 3028, 563, 23210, 17440, 910, 7296, 535, 10179, 1609, 713, 2875, 2854, 4062, 540, 960, 568, 835, 540, 1082, 602, 666, 581, 1336, 538, 938, 607, 543, 513, 1377, 18008, 3296, 1336, 1018, 596, 2811, 269, 901, 4183, 568, 711, 2139, 1318, 1631, 5225, 2119, 1586, 2663, 269, 634, 18008, 513, 1377, 1576, 6227, 519, 21038, 538, 5216, 13838, 540, 519, 1739, 10643, 281, 9074, 835, 281, 561, 685, 2946, 23728, 632, 3288, 1914, 18863, 2946, 21473, 9809, 320, 1047, 3347, 1369, 563, 1607, 1576, 568, 1641, 547, 13581, 2242, 607, 513, 32142, 616, 7996, 585, 540, 23974, 20774, 2787, 513, 1377, 18008, 268, 1007, 585, 476, 1001, 277, 3346, 281, 544, 3464, 11849, 21038, 281, 513, 32142, 269, 10670, 1676, 781, 6030, 713, 18008, 1576, 568, 1759, 593, 1377, 513, 272, 540, 519, 1455, 24067, 5943, 540, 4704, 585, 4654, 2824, 18008, 1576, 585, 14987, 476, 274, 269, 661, 1372, 343, 4897, 607, 543, 513, 1377, 1576, 2139, 1196, 340, 336, 553, 2914, 329, 1815, 607, 21669, 1377, 1576, 2139, 8940, 323, 565, 16722, 1260, 5816, 8456, 1626, 18008, 267, 782, 12545, 543, 957, 6421, 838, 8643, 563, 1556, 1946, 3442, 513, 32142, 585, 513, 7400, 18008, 476, 276, 519, 607, 1576, 568, 4628, 1071, 14482, 778, 762, 609, 519, 1101, 1032, 540, 519, 513, 7400, 1576, 267, 7175, 8112, 585, 269, 1411, 949, 581, 2111, 547, 3095, 707, 17440, 609, 513, 1880, 1888, 596, 616, 5461, 538, 19838, 1412, 18474, 520, 1154, 10168, 538, 18008, 11176, 262, 610, 1412, 320, 18008, 513, 7400, 9732, 18008, 563, 294, 576, 4359, 1377, 630, 684, 1243, 4081, 3403, 971, 607, 2362, 1377, 2575, 9344, 610, 513, 1883, 1983, 1576, 7005, 1893, 267, 7005, 3332, 267, 18008, 269, 5530, 938, 513, 1377, 18008, 1576, 2228, 693, 1753, 609, 519, 20410, 781, 3056, 711, 16519, 17416, 3845, 1565, 8502, 679, 1503, 20471, 2653, 11033, 11727, 21493, 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 ]
[ 540, 519, 20033, 543, 519, 20033, 779, 1920, 616, 9856, 539, 269, 589, 18579, 666, 917, 519, 20033, 779, 3023, 267, 16977, 2085, 543, 1533, 538, 799, 646, 24172, 5030, 269, 634, 3961, 540, 519, 18579, 568, 849, 6870, 563, 304, 281, 1215, 3811, 616, 1418, 1098, 17852, 888, 288, 281, 11773, 3928, 454, 304, 281, 1548, 4523, 950, 972, 568, 513, 991, 585, 606, 1418, 543, 6142, 786, 711, 3382, 621, 888, 288, 281, 4107, 1418, 1098, 17852, 616, 4988, 676, 3791, 5428, 32158, 9309, 618, 6142, 543, 27083, 24310, 269, 769, 930, 8320, 267, 972, 949, 581, 606, 6142, 1698, 17929, 519, 4759, 568, 1152, 14718, 585, 513, 1978, 2179, 540, 7616, 585, 10551, 5773, 269, 769, 1346, 2665, 267, 1169, 13003, 1982, 814, 1514, 4600, 945, 786, 8495, 1346, 2665, 543, 1489, 519, 3461, 538, 2474, 540, 1603, 2027, 13668, 543, 5924, 21936, 532, 519, 1698, 267, 865, 602, 519, 3461, 666, 4309, 519, 13003, 269, 769, 1715, 3840, 3557, 267, 649, 723, 25864, 4862, 540, 2550, 17596, 1272, 22766, 8219, 602, 723, 1044, 5828, 1524, 1317, 540, 6142, 7182, 563, 304, 281, 6904, 2188, 616, 2808, 267, 630, 663, 538, 1018, 1931, 1070, 950, 596, 6430, 945, 4991, 606, 2139, 1418, 21856, 888, 288, 281, 2107, 7540, 616, 5116, 2687, 547, 3670, 3044, 7355, 563, 272, 269, 590, 1197, 640, 540, 4576, 454, 273, 269, 5384, 7996, 630, 15290, 941, 789, 5116, 593, 519, 1592, 994, 274, 269, 10552, 1826, 454, 275, 269, 570, 22568, 7392, 454, 276, 269, 12025, 630, 7775, 7540, 1590, 3514, 5265, 538, 519, 5247, 25714, 13570, 1916, 277, 269, 19715, 630, 20278, 618, 538, 519, 4182, 4422, 2687, 547, 4525, 269, 1715, 3840, 568, 538, 6167, 5308, 16323, 476, 280, 269, 4475, 267, 950, 649, 9156, 8219, 538, 1715, 3840, 267, 649, 1118, 1169, 4674, 547, 1747, 873, 538, 1715, 3840, 269, 634, 2338, 540, 5195, 2476, 689, 519, 13003, 4099, 616, 3769, 538, 519, 3461, 779, 13307, 7355, 593, 519, 1592, 8094, 304, 281, 1684, 1418, 27147, 3906, 971, 607, 519, 1715, 3840, 5213, 528, 8416, 723, 606, 7881, 12233, 888, 288, 281, 5029, 27147, 3906, 723, 513, 7555, 7881, 12233, 267, 855, 849, 1036, 4981, 952, 2556, 585, 513, 1880, 2013, 269, 769, 1169, 3148, 972, 568, 606, 7881, 12233, 585, 27147, 269, 4746, 267, 1169, 6413, 814, 606, 7881, 12233, 602, 10742, 593, 513, 2013, 676, 2013, 4493, 4470, 593, 519, 1880, 6381, 2404, 609, 513, 20033, 2013, 269, 634, 3084, 3919, 630, 18197, 8416, 585, 5029, 19457, 1107, 6167, 5308, 264, 849, 814, 513, 1360, 3742, 7881, 12233, 563, 304, 281, 1684, 596, 723, 3877, 827, 875, 1082, 1004, 538, 1715, 3840, 616, 7996, 585, 1808, 8219, 888, 288, 281, 1284, 723, 7194, 593, 1169, 2460, 540, 21856, 269, 1411, 666, 849, 1569, 602, 1344, 998, 519, 8940, 269, 7419, 5308, 3820, 454, 304, 281, 1403, 972, 616, 1100, 15095, 23700, 538, 1715, 3840, 267, 875, 568, 621, 4956, 1141, 519, 1418, 4422, 888, 288, 281, 1284, 1569, 513, 2780, 1242, 1592, 540, 782, 2550, 7996, 585, 513, 13003, 543, 519, 1592, 786, 1463, 721, 269, 634, 9614, 540, 602, 1592, 568, 519, 2136, 8416, 585, 5029, 19457, 269, 769, 519, 772, 2529, 269, 649, 1747, 8219, 12725, 267, 1287, 3148, 958, 267, 1287, 25422, 269, 5221, 540, 942, 10148, 543, 519, 23812, 540, 519, 1418, 267, 649, 1118, 1169, 4674, 547, 2709, 8219, 547, 7740, 14191, 547, 1715, 3840, 610, 519, 1418, 27147, 4099, 1141, 621, 729, 22876, 3293, 269, 1306, 606, 1383, 267, 606, 1418, 949, 979, 547, 29016, 267, 1985, 267, 543, 865, 593, 269, 1284, 1131, 711, 2709, 621, 547, 267, 1577, 779, 2161, 267, 4993, 267, 1317, 602, 568, 1932, 2484, 543, 621, 3217, 1932, 1279, 547, 8038, 606, 1418, 856, 602, 3845, 269, 3962, 1418, 814, 942, 7687, 585, 23812, 269, 4475, 267, 942, 568, 540, 519, 9759, 538, 13307, 563, 304, 281, 3657, 1715, 3840, 619, 267, 519, 1101, 7156, 538, 8219, 2139, 538, 1715, 3840, 610, 568, 621, 513, 3084, 991, 4493, 888, 288, 281, 8786, 267, 1715, 3840, 619, 616, 1101, 538, 1899, 585, 1715, 3840, 29627, 2642, 8219, 269, 1703, 616, 2027, 6381, 267, 2705, 267, 538, 14621, 547, 14401, 602, 23626, 950, 513, 8459, 13292, 513, 18579, 779, 5160, 1826, 543, 782, 26898, 4010, 269, 3973, 649, 616, 8078, 730, 998, 3609, 547, 6494, 519, 8459, 547, 519, 1268, 602, 13292, 621, 9985, 267, 1256, 952, 602, 1797, 4993, 269, 1403, 649, 4769, 1406, 1747, 621, 713, 1259, 267, 621, 1131, 581, 899, 2348, 606, 9838, 18618, 543, 27102, 519, 824, 1268, 547, 4309, 519, 3501, 8459, 6474, 269, 5772, 673, 13292, 723, 1454, 2362, 1967, 3928, 269, 0, 306, 9595, 7758, 910, 23111, 5362, 857, 32203, 554, 644, 338, 4577, 639, 634, 1977, 4414, 8293, 597, 7758, 568, 1455, 2066, 3345, 3013, 269, 1452, 25277, 262, 11326, 2874, 5097, 540, 519, 5452, 540, 598, 11717, 25862, 269, 1358, 616, 4130, 982, 1034, 25277, 543, 741, 25151, 723, 513, 10058, 26070, 512, 842, 269, 901, 1977, 4414, 8293, 597, 7758, 814, 1044, 15841, 865, 602, 646, 568, 9361, 593, 1010, 12042, 7953, 267, 609, 1010, 3946, 12628, 1524, 538, 4395, 540, 1864, 269, 3571, 2212, 568, 5828, 5594, 547, 519, 2427, 267, 607, 952, 646, 814, 1175, 4862, 1945, 563, 21618, 540, 11838, 267, 10791, 1299, 9615, 11838, 7849, 9615, 5606, 4919, 15873, 910, 3245, 3220, 269, 16547, 324, 910, 5253, 568, 6925, 630, 9616, 281, 589, 7059, 2732, 267, 3207, 543, 3635, 616, 1883, 269, 3194, 568, 6404, 593, 519, 2640, 540, 1082, 14911, 5574, 563, 292, 6470, 543, 13245, 11197, 595, 5300, 1076, 1496, 10908, 9790, 6363, 872, 14114, 520, 6363, 872, 6261, 1446, 334, 5025, 7709, 316, 0, 8333, 26407, 1118, 5507, 2048, 320, 31975, 320, 2749, 20371, 763, 15322, 540, 862, 26407, 538, 5507, 543, 519, 5045, 7532, 540, 4789, 723, 1044, 9927, 883, 1945, 5963, 24974, 676, 513, 20513, 4081, 563, 2704, 553, 323, 1515, 681, 2801, 267, 18947, 17976, 337, 538, 12124, 5525, 543, 12020, 538, 519, 4972, 540, 16011, 543, 13636, 12020, 267, 814, 2813, 513, 3126, 540, 10875, 3308, 31907, 602, 1118, 519, 3232, 20836, 540, 5507, 779, 862, 26407, 1413, 899, 2592, 9676, 676, 513, 2620, 2230, 16263, 563, 763, 2592, 616, 1759, 593, 862, 5024, 1239, 5950, 676, 519, 8433, 585, 2817, 10803, 4505, 713, 1032, 543, 1397, 519, 862, 5024, 6402, 1063, 5507, 543, 1114, 4872, 538, 519, 5045, 7532, 563, 8333, 5024, 547, 519, 4975, 540, 5507, 630, 821, 12297, 815, 476, 1839, 610, 811, 1004, 1916, 10574, 2707, 281, 17227, 267, 476, 1001, 272, 563, 7804, 681, 2801, 1767, 281, 968, 5353, 523, 538, 713, 1259, 267, 649, 1522, 1589, 540, 5507, 607, 513, 2749, 602, 6411, 513, 2370, 3787, 899, 606, 1011, 5317, 5182, 1169, 10543, 281, 513, 2186, 540, 1412, 27273, 2617, 320, 2749, 262, 5310, 269, 594, 946, 713, 21658, 609, 11469, 16119, 538, 32336, 855, 950, 596, 1413, 693, 519, 2592, 2630, 910, 19347, 543, 11979, 910, 621, 781, 2312, 602, 602, 519, 26300, 15362, 8100, 11677, 930, 10083, 563, 10527, 1448, 1934, 568, 602, 267, 2938, 538, 713, 1259, 267, 5507, 568, 1360, 1454, 519, 1412, 332, 9298, 2749, 262, 13269, 676, 519, 3735, 4683, 626, 11184, 8834, 8065, 538, 1010, 1353, 540, 4683, 803, 8615, 2749, 4525, 540, 2342, 269, 634, 824, 1448, 568, 602, 519, 1743, 644, 326, 2044, 540, 519, 3232, 862, 1393, 2965, 2164, 538, 930, 3833, 11495, 2592, 3034, 6097, 547, 5515, 5950, 676, 519, 5507, 4578, 1805, 648, 267, 519, 3854, 779, 2551, 1147, 2471, 547, 936, 476, 1015, 2929, 1142, 3018, 1485, 3379, 547, 519, 476, 279, 269, 277, 2929, 945, 1289, 5507, 1753, 563, 7804, 681, 2801, 1767, 281, 968, 26156, 28181, 781, 24817, 2551, 2220, 20635, 547, 936, 835, 2929, 267, 1519, 14666, 267, 538, 4334, 547, 922, 17055, 2551, 540, 1472, 476, 18597, 267, 1822, 1004, 269, 901, 1226, 919, 547, 10199, 519, 3003, 2551, 540, 27257, 267, 855, 538, 1447, 982, 513, 20870, 540, 519, 1858, 563, 10527, 4975, 540, 5507, 267, 593, 519, 824, 1688, 267, 814, 513, 1360, 1507, 17055, 2551, 540, 1472, 476, 279, 267, 1822, 267, 855, 513, 2698, 24817, 2551, 540, 936, 476, 7785, 267, 1822, 910, 811, 982, 476, 4037, 2053, 607, 1082, 269, 634, 2591, 713, 3232, 6521, 538, 2551, 6799, 616, 782, 1932, 10423, 267, 543, 713, 3746, 2478, 519, 1271, 1909, 4683, 4058, 543, 5989, 11865, 723, 547, 1404, 607, 938, 10034, 543, 4872, 3136, 547, 1332, 3034, 4407, 5507, 949, 581, 519, 6505, 652, 5182, 267, 621, 568, 676, 1100, 1797, 4805, 538, 922, 14925, 269, 3220, 681, 2801, 849, 3812, 2592, 6029, 519, 15322, 540, 862, 26407, 1472, 519, 5045, 7532, 540, 4789, 950, 5507, 568, 16934, 563, 7804, 681, 2801, 8591, 281, 968, 2690, 803, 267, 621, 2501, 1524, 547, 1614, 1919, 269, 3689, 267, 621, 781, 711, 782, 827, 5507, 610, 267, 8197, 267, 519, 5045, 7532, 540, 4789, 267, 855, 827, 1620, 875, 938, 26424, 540, 4872, 543, 10034, 4096, 2390, 1142, 824, 563, 2108, 13553, 267, 519, 5686, 540, 2592, 4843, 1934, 666, 948, 9414, 1271, 2984, 827, 938, 1158, 543, 827, 938, 3232, 2729, 267, 855, 789, 666, 2760, 2995, 721, 1018, 547, 798, 827, 621, 269, 7053, 267, 519, 2956, 540, 4683, 4058, 910, 693, 519, 1318, 4336, 910, 568, 2565, 1848, 0, 289, 2084, 593, 519, 6482, 540, 13942, 942, 6361, 1922, 2775, 267, 476, 274, 291, 9196, 700, 4696, 2752, 723, 2702, 547, 3489, 519, 9043, 540, 3077, 2627, 269, 1306, 519, 28708, 2164, 540, 20949, 3210, 1599, 540, 11640, 543, 16785, 13942, 267, 519, 10630, 13942, 786, 1253, 677, 952, 519, 11640, 2270, 513, 3099, 540, 9883, 269, 2991, 5806, 3729, 1184, 267, 713, 1253, 677, 6770, 538, 513, 942, 5470, 585, 3845, 6482, 267, 799, 3587, 519, 606, 18982, 846, 593, 1062, 9196, 2417, 811, 269, 4340, 547, 519, 4901, 540, 942, 17466, 22502, 3444, 3296, 267, 713, 2186, 540, 606, 18982, 846, 568, 5631, 4956, 676, 519, 9386, 540, 3077, 2627, 950, 519, 1062, 6724, 543, 3077, 3845, 616, 5462, 269, 589, 13180, 1505, 585, 4463, 5470, 1759, 593, 9571, 9386, 814, 1044, 2322, 4464, 269, 3689, 540, 782, 267, 519, 9386, 3892, 540, 9571, 2627, 1223, 581, 7229, 689, 519, 1448, 6531, 1239, 676, 1079, 17574, 3017, 1505, 269, 3973, 267, 519, 16977, 13180, 4463, 5470, 786, 581, 5833, 267, 2687, 547, 519, 9386, 268, 19587, 2078, 676, 14322, 602, 1142, 11640, 581, 513, 21266, 1154, 7077, 269, 2991, 4946, 547, 519, 9571, 1239, 267, 519, 1101, 16977, 3077, 2627, 1239, 814, 1044, 9715, 269, 634, 13180, 1267, 786, 16042, 519, 1483, 1871, 676, 18110, 519, 1614, 3268, 1657, 269, 1306, 606, 1383, 267, 11191, 2079, 540, 21714, 13942, 9196, 7020, 814, 1044, 2016, 269, 634, 1267, 2982, 602, 713, 13180, 1505, 568, 2500, 543, 3608, 269, 0, 2419, 328, 18132, 545, 1416, 568, 1373, 7608, 811, 4749, 607, 513, 5963, 2500, 1416, 13374, 585, 8156, 782, 12204, 540, 12214, 2042, 1369, 519, 30273, 543, 8401, 1949, 269, 9737, 782, 12204, 540, 2042, 609, 519, 11768, 540, 519, 22403, 543, 519, 7293, 8699, 540, 519, 6091, 267, 972, 616, 1082, 3255, 585, 519, 23096, 528, 547, 26544, 267, 12570, 519, 3597, 3123, 540, 519, 1966, 543, 8159, 519, 1318, 4999, 540, 5574, 547, 4368, 621, 563, 4913, 267, 938, 12214, 1072, 568, 711, 519, 1152, 2460, 540, 938, 2949, 1134, 5630, 602, 31497, 1416, 814, 519, 2702, 547, 2087, 563, 4407, 621, 949, 3100, 899, 606, 7493, 1523, 267, 938, 2790, 1072, 543, 938, 12214, 1072, 616, 23091, 269, 1403, 972, 616, 2042, 609, 938, 12214, 1072, 267, 649, 666, 1294, 621, 1860, 938, 2790, 1072, 13497, 543, 13030, 17930, 269, 2290, 540, 519, 1292, 20334, 547, 14016, 908, 2790, 1072, 568, 519, 11566, 4527, 540, 2566, 538, 938, 2729, 269, 13262, 666, 1764, 3388, 689, 938, 9025, 1072, 547, 519, 8647, 540, 938, 8219, 543, 3388, 538, 1063, 269, 1879, 649, 616, 14129, 267, 972, 568, 6148, 1100, 811, 1713, 540, 606, 1764, 593, 1022, 824, 1560, 1062, 982, 519, 30273, 1062, 563, 2691, 649, 616, 14129, 267, 649, 4043, 547, 13029, 909, 938, 6091, 547, 519, 1448, 1141, 649, 616, 711, 7244, 5265, 269, 9182, 267, 610, 2634, 568, 8647 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 25242, 3037, 1072, 563, 17556, 557, 2052, 333, 543, 6754, 10910, 3941, 267, 689, 2344, 13379, 517, 2861, 8892, 5253, 10298, 267, 6010, 2989, 519, 7031, 267, 799, 616, 1500, 909, 540, 513, 3309, 2039, 540, 2371, 6074, 585, 741, 2702, 547, 7001, 3327, 689, 519, 5790, 799, 568, 1287, 19526, 538, 1472, 519, 3597, 267, 547, 513, 968, 16647, 5346, 22986, 9731, 763, 7693, 568, 2759, 543, 2451, 593, 519, 2244, 799, 8591, 811, 5214, 2339, 547, 519, 3037, 267, 1818, 621, 513, 811, 2500, 3327, 16173, 563, 307, 7434, 338, 585, 519, 1788, 267, 799, 568, 1373, 14102, 676, 31920, 4826, 543, 13327, 523, 676, 519, 5177, 20002, 16685, 6694, 2319, 267, 723, 27333, 3254, 602, 3395, 3382, 7031, 666, 2333, 3037, 5214, 2339, 676, 909, 547, 476, 2412, 19726, 829, 20267, 732, 267, 799, 666, 4894, 811, 982, 2185, 19726, 540, 11626, 3327, 1142, 1032, 563, 2026, 1134, 607, 2348, 519, 1761, 547, 4831, 519, 2360, 540, 2916, 1689, 267, 12448, 21701, 267, 10697, 4640, 9614, 585, 31920, 4826, 267, 1767, 519, 12655, 14924, 7870, 670, 3784, 5741, 968, 331, 4660, 519, 13210, 892, 585, 5466, 930, 540, 519, 1034, 14849, 2042, 519, 1158, 568, 6849, 563, 2108, 31995, 3382, 7031, 547, 2333, 3037, 5214, 2339, 568, 835, 540, 519, 1034, 2500, 1259, 540, 8396, 1154, 519, 2101, 2825, 2152, 649, 3068, 2221, 563, 24685, 1175, 5722, 4374, 267, 789, 5352, 2614, 3327, 268, 2425, 6856, 532, 5214, 1570, 547, 1118, 513, 1713, 7202, 538, 11626, 2910, 273, 269, 1403, 6738, 593, 513, 2518, 4336, 267, 27442, 1076, 8105, 1223, 1831, 519, 1101, 5823, 540, 519, 4346, 547, 581, 2121, 3327, 4642, 3034, 16031, 10910, 3941, 1767, 3395, 3382, 7031, 849, 814, 1713, 6286, 585, 3037, 1072, 543, 519, 9962, 1604, 563, 10527, 2371, 685, 3597, 2497, 6585, 519, 1283, 31542, 538, 1747, 4227, 11761, 267, 543, 519, 2333, 538, 5214, 2339, 1797, 1447, 3484, 11378, 971, 607, 6992, 16014, 267, 616, 2877, 267, 7175, 6705, 547, 1332, 1426, 811, 7561, 543, 7443, 2406, 563, 2108, 8170, 519, 11378, 602, 616, 2838, 267, 1447, 616, 682, 3737, 2476, 883, 519, 25825, 267, 1818, 585, 8902, 8933, 543, 1216, 322, 12973, 543, 713, 814, 513, 2318, 22545, 6823, 1198, 593, 2199, 18508, 543, 21426, 3034, 16031, 21701, 3773, 602, 519, 1788, 1223, 849, 1404, 513, 2101, 1909, 538, 519, 5786, 540, 14700, 538, 670, 1638, 563, 312, 30435, 4826, 267, 2059, 609, 5101, 681, 4575, 540, 31920, 7027, 267, 670, 1638, 4975, 7027, 543, 519, 5113, 10837, 568, 513, 4295, 7649, 538, 519, 12389, 2060, 4826, 11450, 563, 10527, 1121, 527, 540, 519, 12389, 2060, 4826, 11450, 568, 547, 2936, 3800, 602, 2569, 610, 11574, 519, 5222, 14700, 814, 593, 670, 1638, 2223, 6004, 21701, 1767, 269, 968, 10932, 2982, 602, 8236, 1175, 513, 476, 272, 829, 1298, 2333, 538, 3037, 5214, 2339, 1131, 5512, 6694, 2244, 547, 4558, 606, 3063, 476, 1220, 267, 1822, 30184, 540, 1216, 829, 20267, 732, 563, 2108, 11997, 267, 713, 1788, 814, 5458, 6286, 585, 6360, 22887, 6672, 538, 543, 1472, 670, 1638, 269, 20002, 16685, 814, 1279, 2165, 3347, 543, 21769, 609, 922, 25210, 267, 865, 676, 2324, 609, 873, 547, 2333, 519, 2157, 540, 3037, 5214, 2339, 538, 519, 670, 3784, 3148, 267, 649, 666, 1118, 513, 1483, 1764, 3034, 2005, 568, 12479, 519, 1788, 786, 4163, 593, 3395, 609, 1114, 3549, 4947, 593, 4604, 585, 1114, 7693, 32186, 563, 16031, 2052, 333, 267, 4330, 22745, 519, 12655, 14924, 7870, 670, 3784, 5741, 607, 513, 1390, 1383, 540, 5698, 1063, 10626, 4891, 267, 519, 3761, 5832, 543, 6705, 563, 3891, 1767, 519, 968, 684, 1664, 2470, 892, 540, 519, 20002, 16685, 3761, 5832, 543, 4205, 609, 519, 25210, 540, 519, 5682, 3212, 320, 2754, 1107, 519, 16027, 1071, 268, 10869, 799, 1332, 585, 20002, 16685, 1107, 17112, 666, 581, 519, 18463, 585, 1689, 563, 10527, 1482, 6705, 786, 1332, 10568, 267, 24061, 543, 3282, 23092, 22149, 585, 824, 3761, 5832, 4891, 865, 519, 1761, 547, 909, 29173, 519, 1788, 568, 5458, 269, 1306, 2417, 7031, 2097, 883, 1404, 267, 649, 2503, 547, 1294, 811, 1426, 12478, 4947, 593, 4604, 543, 811, 6705, 4358, 547, 1332, 3382, 7031, 607, 519, 2640, 1831, 2312, 3034, 13528, 518, 16027, 267, 6004, 10910, 3941, 1767, 6705, 2097, 538, 585, 513, 2603, 540, 9880, 689, 3544, 519, 2872, 585, 741, 9228, 1198, 593, 519, 1604, 269, 1809, 646, 1767, 519, 7145, 540, 3382, 7031, 2322, 873, 4395, 543, 8998, 538, 519, 6370, 1996, 2916, 1689, 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 ]
[ 4793, 3205, 267, 513, 1533, 1216, 4274, 267, 786, 1291, 519, 4901, 3842, 2756, 27019, 12401, 1063, 26495, 1054, 20463, 543, 15167, 1636, 269, 6424, 2961, 548, 786, 1683, 519, 2606, 4633, 689, 26495, 1054, 269, 634, 2756, 27019, 12401, 3937, 786, 5512, 2146, 2818, 547, 5968, 1063, 1312, 10034, 269, 634, 4901, 786, 2253, 693, 476, 276, 281, 1789, 10681, 693, 1312, 6753, 593, 13638, 267, 20029, 269, 476, 272, 269, 0, 3963, 11505, 568, 1271, 1557, 454, 296, 723, 5249, 2182, 585, 1250, 2673, 2828, 602, 594, 798, 723, 1631, 543, 2760, 1544, 593, 9561, 873, 269, 901, 7805, 3017, 540, 6644, 827, 519, 2956, 540, 11505, 1281, 711, 2731, 1611, 602, 1004, 540, 835, 3148, 616, 811, 20019, 929, 644, 550, 1247, 741, 9905, 538, 6576, 723, 14311, 6986, 12271, 543, 4555, 269, 634, 3594, 786, 6961, 3730, 1282, 2621, 899, 14886, 1222, 4303, 267, 950, 596, 616, 4280, 547, 2328, 606, 1557, 593, 11505, 267, 2285, 513, 4633, 610, 1491, 851, 538, 513, 7521, 269, 14886, 1222, 2986, 4828, 589, 9502, 269, 2878, 265, 634, 2407, 1543, 540, 713, 1557, 568, 2139, 547, 966, 7709, 3988, 14886, 616, 2141, 811, 1271, 982, 1022, 18560, 17320, 20071, 901, 1557, 11394, 547, 4766, 11505, 543, 1946, 835, 1058, 3972, 538, 11505, 269, 14886, 1222, 2986, 4828, 589, 9502, 269, 14886, 1222, 543, 922, 1764, 593, 3584, 899, 1153, 11648, 543, 1514, 3060, 1118, 519, 2856, 540, 11505, 606, 1271, 3390, 585, 4901, 269, 476, 4335, 266, 9293, 4828, 11957, 540, 14886, 538, 3776, 1272, 269, 1809, 835, 3364, 596, 1058, 849, 1589, 827, 616, 519, 3347, 267, 543, 17052, 267, 596, 3513, 1106, 1282, 707, 942, 538, 22475, 543, 13460, 14886, 8300, 543, 5000, 721, 267, 22937, 1489, 267, 543, 6318, 721, 909, 269, 4208, 19969, 538, 513, 11505, 568, 1271, 685, 12968, 17965, 568, 606, 1271, 14487, 1317, 621, 568, 835, 540, 519, 2081, 602, 1004, 9794, 596, 269, 634, 11957, 2986, 634, 14886, 1222, 9085, 4828, 269, 1224, 2407, 1496, 13625, 12726, 316, 585, 1863, 269, 11588, 540, 6936, 14886, 1222, 269, 4014, 649, 2661, 476, 274, 267, 1822, 5195, 2476, 267, 1352, 568, 2141, 972, 585, 803, 543, 13030, 17930, 589, 9502, 2986, 14886, 1222, 4828, 269, 19837, 10488, 18370, 1051, 639, 5741, 4643, 269, 14886, 1222, 2986, 4828, 589, 9502, 269, 1809, 1114, 2790, 885, 666, 1711, 7805, 7496, 1063, 4529, 543, 2477, 269, 1403, 596, 3112, 581, 2808, 607, 1373, 9237, 267, 596, 786, 711, 723, 1434, 1870, 3347, 267, 1434, 2828, 267, 610, 5310, 1256, 513, 1434, 1272, 9462, 497, 504, 4208, 12968, 17965, 1772, 12830, 769, 589, 14886, 1222, 910, 1557, 1383, 585, 1863, 1715, 344, 1251, 612, 904, 910, 6538, 1946, 11505, 568, 1271, 1557, 609, 811, 982, 476, 20981, 876, 2852, 3594, 585, 4974, 476, 7987, 495, 269, 7731, 568, 938, 5748, 269, 1284, 3442, 938, 2828, 593, 938, 1378, 7429, 938, 1920, 2818, 543, 14077, 945, 1106, 513, 851, 540, 938, 2729, 2436, 610, 711, 649, 1616, 873, 547, 634, 11957, 540, 14886, 1222, 5403, 2160, 968, 288, 1434, 3659, 568, 513, 4276, 547, 1272, 267, 513, 17063, 547, 519, 2250, 267, 513, 4155, 547, 519, 2104, 267, 519, 1883, 547, 7254, 640, 538, 513, 11207, 1202, 2033, 1158, 1848, 630, 310, 344, 572, 267, 476, 1220, 278, 264, 1284, 782, 991, 2828, 14886, 616, 10838, 1346, 1906, 1004, 945, 3398, 721, 267, 2864, 899, 721, 267, 607, 649, 616, 3057, 476, 1839, 267, 476, 1001, 276, 5788, 1401, 1842, 7480, 4828, 7151, 281, 19120, 885, 540, 513, 6153, 31541, 269, 14886, 616, 835, 540, 519, 1034, 10475, 10516, 538, 938, 1272, 2529, 727, 17052, 2063, 11014, 1247, 930, 7475, 607, 10092, 1689, 269, 2171, 2141, 3314, 1346, 1954, 785, 338, 609, 7247, 649, 1185, 3838, 519, 1034, 851, 540, 938, 1272, 16638, 1250, 6644, 267, 527, 568, 811, 1271, 547, 1832, 519, 2025, 11505, 2178, 3379, 547, 1818, 1007, 2828, 585, 1739, 4128, 4828, 593, 2986, 631, 823, 543, 9093, 11957, 540, 14886, 1222, 6723, 543, 31143, 773, 2986, 631, 823, 543, 9093, 814, 1082, 4798, 4843, 676, 23415, 20198, 267, 835, 540, 799, 568, 827, 11505, 269, 589, 1434, 11505, 568, 899, 519, 13371, 8323, 540, 1272, 281, 898, 779, 972, 547, 1118, 3388, 3116, 1107, 782, 519, 3978, 8631, 1107, 711, 3100, 865, 3983, 14886, 1222, 3594, 674, 6020, 2894, 9169, 295, 7709, 1703, 616, 1082, 3407, 1919, 538, 1272, 267, 855, 11505, 949, 581, 835, 540, 519, 1034, 1271, 563, 308, 9628, 4828, 8871, 14186, 454, 2171, 3657, 4317, 6282, 999, 269, 11588, 540, 6936, 14886, 1222, 269, 634, 3209, 5055, 2982, 519, 2078, 1063, 519, 23233, 11783, 1635, 6276, 1855, 6558, 269, 1306, 1140, 6479, 676, 519, 2025, 740, 720, 1765, 649, 3442, 938, 2828, 267, 711, 938, 1920, 2443, 1492, 2123, 543, 269, 898, 782, 5673, 593, 875, 649, 3442, 15431, 4940, 1548, 779, 811, 267, 17052, 948, 721, 1332, 998, 1142, 1032, 540, 938, 2729, 907, 14886, 4339, 585, 721, 950, 649, 616, 29405, 539, 267, 9718, 721, 538, 4395, 540, 519, 1158, 543, 7281, 7258, 721, 538, 2352, 2053, 269, 1280, 1383, 267, 513, 5856, 32245, 1433, 547, 2671, 1010, 17017, 1995, 609, 3988, 267, 4116, 18993, 1080, 1010, 17017, 10752, 547, 1053, 267, 2828, 543, 9164, 1865, 741, 2093, 609, 1142, 824, 543, 3549, 2170, 609, 6800, 23089, 540, 16007, 281, 13488, 532, 568, 513, 8748, 15908, 585, 519, 1004, 547, 9101, 689, 513, 20585, 543, 27217, 1272, 1394, 1753, 269, 19837, 10488, 18370, 1051, 639, 5741, 4643, 269, 6736, 922, 13766, 267, 538, 930, 2665, 649, 616, 2901, 7142, 610, 25432, 2838, 547, 1439, 3347, 589, 9502, 2986, 14886, 1222, 4828, 269, 14886, 1222, 568, 8197, 267, 606, 10697, 538, 1272, 269, 898, 3217, 942, 543, 9639, 547, 1628, 513, 2178, 11505, 543, 3035, 3972, 1063, 1079, 9997, 10863, 269, 20290, 1169, 1480, 1373, 814, 2828, 610, 693, 2547, 513, 3659, 609, 7247, 789, 6108, 942, 1927, 269, 1879, 649, 616, 4535, 267, 649, 1205, 2404, 1946, 11505, 568, 1271, 1557, 609, 938, 1920, 676, 1973, 6935, 269, 7046, 5985, 10624, 681, 2572, 540, 8574, 1765, 3405, 5846, 267, 24570, 267, 7972, 267, 610, 824, 1271, 19325, 1765, 732, 6825, 543, 28165, 1927, 4828, 593, 30258, 4208, 7731, 568, 12830, 538, 5020, 1107, 4828, 476, 274, 630, 6110, 1913, 264, 4985, 269, 14886, 1222, 568, 1634, 547, 581, 519, 1034, 4190, 2078, 538, 519, 1158, 269, 834, 10387, 3205, 781, 14886, 543, 519, 4828, 593, 14886, 1222, 1701, 1715, 4789, 22588, 569, 476, 866, 630, 5353, 696, 476, 3707, 277, 2567, 476, 29496, 268, 11463, 9608, 21931, 4828, 281, 634, 10025, 2986, 14886, 1222, 901, 10839, 2731, 6941, 875, 11505, 543, 2648, 3884, 1406, 1175, 835, 521, 3660, 269, 2311, 1775, 2237, 32487, 2593, 649, 786, 2285, 596, 930, 4388, 593, 7907, 540, 513, 1434, 3659, 602, 596, 666, 946, 538, 269, 14886, 1222, 3594, 674, 6020, 2894, 9169, 295, 7709, 1703, 616, 1082, 3407, 1919, 538, 1272, 267, 855, 11505, 949, 581, 835, 540, 519, 1034, 1271, 269, 898, 2882, 519, 4367, 267, 519, 1292, 851, 543, 519, 3932, 634, 3594, 786, 6961, 3730, 1282, 2621, 899, 14886, 1222, 4303, 267, 950, 596, 616, 4280, 547, 2328, 606, 1557, 593, 11505, 267, 2285, 513, 4633, 610, 1491, 851, 538, 513, 7521, 269, 898, 782, 5673, 593, 875, 649, 3442, 15431, 4940, 4014, 649, 2661, 476, 274, 267, 1822, 5195, 2476, 267, 1352, 568, 2141, 972, 585, 803, 543, 13030, 17930, 4208, 898, 781, 12830, 1677, 5620, 6153, 14886, 769, 2659, 5020, 269, 2878, 265, 634, 2407, 1543, 540, 713, 1557, 568, 2139, 547, 966, 7709, 3988, 14886, 616, 2141, 811, 1271, 982, 1022, 18560, 17320, 20071, 14886, 666, 4161, 721, 267, 25657, 721, 267, 543, 3006, 267, 649, 1522, 4898, 1946, 649, 21898, 269, 2353, 476, 2420, 4128, 602, 621, 568, 1271, 547, 723, 513, 1434, 3659, 543, 782, 519, 4162, 540, 513, 1434, 11505, 568, 1018, 594, 2671, 609, 29315, 269, 14886, 1222, 568, 1271, 538, 1272, 1317, 621, 11414, 721, 513, 1390, 4308, 827, 1272, 269, 9877, 1042, 9454, 1080, 269, 4239, 269, 1452, 3594, 786, 849, 3391, 596, 547, 1451, 827, 519, 2495, 267, 2956, 543, 2010, 540, 11505, 269, 4985, 269, 14886, 1222, 2115, 547, 581, 19644, 543, 3710, 909, 585, 1082, 1296, 609, 1454, 1416, 269, 9947, 476, 1015, 267, 476, 1001, 278, 5788, 834, 293, 12188, 4721, 1831, 1256, 811, 1271, 607, 649, 2085, 2437, 3081, 18673, 5261, 932, 641, 1731, 689, 12309, 3557, 2160, 11957, 540, 14886, 1222, 4828, 7151, 269, 476, 275, 267, 476, 1001, 274, 269, 1403, 596, 3112, 581, 2808, 607, 1373, 9237, 267, 596, 786, 711, 723, 1434, 1870, 3347, 267, 1434, 2828, 267, 610, 5310, 1256, 513, 1434, 1272, 269, 476, 14341, 277, 1913, 630, 278, 3817, 264, 4828, 538, 9085, 269, 1677, 803, 11505, 568, 2731, 1271, 543, 594, 798, 711, 1491, 5413, 540, 621, 835, 2034, 256, 0, 19177, 593, 741, 1283, 10265, 630, 10946, 8759, 3738, 543, 1079, 593, 741, 8260, 1043, 630, 12294, 10265, 1040, 681, 13741, 1080, 723, 476, 273, 593, 1283, 543, 835, 593, 519, 5377, 10265, 269, 19892, 14918, 543, 23224, 949, 4159, 7796, 334, 699, 794, 269, 15482, 4542, 540, 15529, 568, 630, 288, 264, 630, 273, 270, 272, 264, 630, 271, 270, 271, 264, 630, 274, 270, 273, 264, 630, 274, 270, 274, 264, 630, 289, 264, 630, 273, 270, 272, 264, 630, 272, 270, 271, 264, 630, 274, 270, 273, 264, 630, 274, 270, 274, 264, 630, 290, 264, 630, 273, 270, 272, 264, 630, 271, 270, 271, 264, 630, 273, 270, 273, 264, 630, 274, 270, 274, 264, 630, 291, 264, 630, 272, 270, 272, 264, 630, 274, 270, 273, 264, 630, 271, 270, 271, 264, 630, 274, 270, 274, 1040, 13322, 318, 568, 711, 1164, 538, 6775, 543, 1281, 711, 5000, 519, 8860, 20517, 540, 519, 10265, 602, 4324, 5694, 1140, 761, 542, 538, 17544, 269, 2422, 540, 26715, 4704, 3515, 269, 634, 7688, 568, 1869, 513, 1434, 1259, 547, 1449, 707, 1702, 256, 26495, 1023, 723, 4522, 540, 1114, 7306, 543, 5546, 267, 513, 2783, 1634, 607, 10636, 31788, 1399, 267, 3850, 1114, 4522, 547, 581, 7463, 585, 1114, 4247, 269, 27259, 23390, 1404, 513, 4105, 1909, 538, 18997, 15529, 5411, 827, 6604, 543, 2038, 7020, 267, 607, 1134, 607, 21528, 14830, 12579, 609, 23235, 543, 8156, 5959, 2068, 269, 1452, 2010, 540, 4522, 4196, 1585, 3252, 971, 607, 5969, 909, 267, 11493, 267, 751, 2130, 543, 27054, 3429, 519, 1426, 269, 4139, 5948, 585, 519, 5530, 540, 10266, 269, 16910, 810, 1203, 1537, 9255, 519, 3461, 538, 29523, 531, 973, 3518, 1890, 269, 21700, 5239, 476, 1001, 277, 269, 634, 4542, 585, 8628, 15529, 4522, 568, 281, 476, 273, 630, 296, 273, 270, 272, 595, 271, 270, 271, 623, 274, 270, 273, 631, 273, 268, 274, 270, 274, 1040, 476, 2764, 269, 19244, 609, 519, 3461, 538, 14694, 2990, 593, 519, 6587, 2427, 269, 1452, 2831, 798, 711, 723, 666, 1149, 269, 1358, 723, 1651, 30583, 267, 6566, 565, 1513, 543, 12387, 1513, 267, 543, 3668, 666, 1149, 269, 901, 1353, 568, 5532, 547, 11326, 2016, 269, 27259, 8512, 1676, 2593, 270, 32098, 269, 680, 343, 286, 303, 284, 288, 26031, 284, 5325, 273, 269, 1548, 568, 519, 28301, 5959, 4542, 585, 17544, 286, 13322, 318, 15693, 10237, 4919, 5784, 1419, 6556, 519, 1034, 3407, 1344, 3823, 5959, 2068, 538, 17544, 269, 634, 14694, 543, 24725, 7252, 540, 519, 32336, 4522, 616, 2352, 610, 7543, 547, 6218, 538, 713, 6752, 267, 543, 1507, 5959, 15087, 616, 3362, 14406, 269, 272, 267, 1323, 1439, 24005, 949, 849, 581, 1031, 547, 2070, 519, 32336, 4522, 269, 700, 12522, 828, 309, 564, 282, 4989, 476, 2537, 267, 476, 1001, 272, 269, 561, 12522, 828, 2593, 270, 23439, 9706, 664, 31193, 2987, 23337, 718, 2173, 2459, 1023, 269, 1635, 29780, 519, 1179, 4918, 610, 13409, 998, 519, 1019, 770, 9047, 883, 519, 5711, 13570, 267, 519, 29473, 1816, 531, 2627, 540, 519, 32336, 4522, 949, 581, 13713, 8947, 267, 4352, 519, 13156, 6885, 568, 3908, 269, 630, 290, 264, 9050, 3193, 16736, 1651, 30583, 267, 1519, 519, 476, 273, 4130, 890, 326, 4522, 13883, 2047, 3297, 519, 3677, 1305, 540, 1651, 30583, 267, 543, 476, 273, 8260, 24212, 1651, 30583, 269, 634, 29473 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1739, 780, 301, 272, 281, 630, 271, 267, 272, 267, 274, 267, 279, 267, 275, 994, 301, 273, 281, 630, 272, 267, 271, 267, 273, 267, 275, 267, 274, 994, 301, 274, 281, 630, 274, 267, 273, 267, 271, 267, 273, 267, 276, 994, 301, 275, 281, 630, 279, 267, 275, 267, 273, 267, 271, 267, 275, 994, 301, 276, 281, 630, 275, 267, 274, 267, 276, 267, 275, 267, 271, 2020, 2252, 1100, 1689, 540, 519, 3060, 4523, 1354, 519, 1985, 5180, 540, 5385, 267, 1287, 538, 519, 1985, 5180, 540, 5385, 267, 1142, 6843, 786, 6494, 1657, 3845, 10321, 547, 922, 12543, 269, 769, 1880, 267, 715, 274, 786, 6494, 630, 274, 267, 273, 267, 271, 267, 273, 267, 276, 264, 547, 922, 7023, 715, 273, 543, 715, 275, 538, 519, 1985, 5180, 780, 4913, 267, 952, 1354, 519, 1985, 5180, 540, 5385, 267, 621, 4523, 602, 519, 3095, 1063, 715, 272, 543, 715, 273, 4422, 1524, 269, 3973, 715, 272, 543, 715, 273, 786, 9337, 741, 3845, 6152, 5612, 267, 855, 1152, 609, 519, 3845, 1063, 715, 272, 543, 715, 273, 269, 3767, 519, 3845, 10321, 693, 1142, 6843, 616, 607, 5205, 780, 301, 272, 281, 630, 271, 267, 8882, 6541, 267, 274, 267, 279, 267, 275, 994, 301, 273, 281, 630, 8882, 6541, 267, 271, 267, 273, 267, 275, 267, 274, 994, 301, 274, 281, 630, 274, 267, 273, 267, 271, 267, 273, 267, 276, 994, 301, 275, 281, 630, 279, 267, 275, 267, 273, 267, 271, 267, 275, 994, 301, 276, 281, 630, 275, 267, 274, 267, 276, 267, 275, 267, 271, 2020, 5475, 519, 1985, 5180, 540, 5385, 267, 715, 274, 6487, 519, 3845, 6152, 630, 8882, 6541, 267, 271, 267, 273, 267, 275, 267, 274, 264, 689, 715, 273, 543, 630, 279, 267, 275, 267, 273, 267, 271, 267, 275, 264, 689, 715, 275, 269, 1924, 715, 274, 786, 9337, 922, 3845, 6152, 547, 630, 1015, 267, 273, 267, 271, 267, 273, 267, 276, 6393, 1892, 8729, 15660, 729, 3257, 22549, 713, 269, 3719, 594, 1185, 513, 8969, 865, 9053, 6998, 269, 4517, 2290, 811, 3364, 267, 1879, 715, 274, 814, 4957, 621, 781, 6152, 547, 630, 1015, 267, 273, 267, 271, 267, 273, 267, 276, 264, 3079, 540, 630, 14813, 6541, 267, 273, 267, 271, 267, 273, 267, 276, 1070, 713, 568, 1293, 547, 20581, 1966, 8345, 1318, 286, 3967, 476, 1015, 267, 476, 1001, 280, 693, 476, 277, 281, 5400, 454, 1892, 8786, 267, 519, 25337, 1293, 3562, 19899, 6541, 568, 11200, 532, 269, 3967, 476, 1015, 267, 476, 1001, 280, 693, 476, 277, 281, 1839, 0, 258, 670, 5085, 303, 256, 25226, 270, 10481, 6248, 5311, 2055, 267, 7084, 1813, 14182, 692, 1892, 4924, 476, 2918, 628, 476, 1220, 279, 267, 476, 1556, 281, 1626, 6751, 454, 343, 30893, 322, 343, 454, 28502, 256, 25226, 270, 10481, 6248, 5311, 2055, 267, 7084, 1813, 14182, 454, 272, 269, 3503, 606, 4082, 267, 538, 16866, 1106, 267, 585, 519, 2489, 2165, 540, 519, 5311, 538, 799, 519, 1101, 2165, 568, 476, 1691, 543, 1142, 2165, 568, 476, 276, 1447, 982, 519, 2165, 18631, 621, 780, 273, 269, 769, 606, 12980, 5311, 267, 512, 1428, 15871, 2767, 543, 512, 1015, 15871, 1321, 269, 4855, 519, 1871, 540, 519, 31329, 2165, 543, 519, 1455, 3017, 780, 274, 269, 3503, 606, 4082, 267, 538, 16866, 1106, 267, 585, 519, 2489, 2165, 540, 519, 5311, 538, 799, 519, 1101, 2165, 568, 476, 1626, 543, 1142, 8011, 532, 2165, 568, 476, 272, 270, 273, 519, 1354, 621, 780, 1892, 4924, 476, 2918, 628, 476, 1220, 279, 267, 476, 1556, 281, 2412, 6751, 454, 13043, 19063, 1756, 454, 32621, 1384, 23192, 17397, 676, 1535, 30893, 322, 343, 454, 272, 269, 3503, 606, 4082, 267, 538, 16866, 1106, 267, 585, 519, 2489, 2165, 540, 519, 5311, 538, 799, 519, 1101, 2165, 568, 476, 1691, 543, 1142, 2165, 568, 476, 276, 1447, 982, 519, 2165, 18631, 621, 780, 5575, 267, 519, 8360, 834, 26421, 2165, 568, 476, 276, 1447, 982, 519, 2165, 18631, 621, 257, 568, 3274, 6031, 519, 1455, 3017, 568, 910, 276, 269, 1924, 938, 5311, 5654, 899, 713, 1384, 1691, 267, 476, 280, 267, 476, 275, 267, 910, 272, 267, 910, 277, 267, 27250, 9616, 602, 267, 585, 1383, 267, 519, 3791, 2165, 568, 476, 1015, 1447, 982, 1141, 649, 3323, 269, 634, 8772, 2165, 568, 476, 1428, 1447, 982, 1141, 649, 3323, 267, 519, 11359, 568, 476, 736, 1447, 267, 543, 865, 593, 269, 8033, 5224, 713, 4806, 267, 519, 267, 2161, 267, 476, 1911, 628, 2165, 1131, 581, 476, 275, 4817, 1447, 982, 1018, 649, 3323, 609, 630, 4200, 2608, 476, 276, 815, 476, 275, 4817, 1040, 1924, 267, 519, 32671, 2165, 568, 2469, 547, 581, 267, 10416, 267, 519, 1101, 2165, 14263, 476, 276, 16732, 333, 268, 272, 1040, 1924, 519, 32671, 2165, 786, 581, 476, 1691, 910, 476, 276, 16732, 333, 268, 272, 1070, 610, 267, 952, 596, 14458, 267, 476, 866, 910, 476, 276, 333, 269, 630, 9616, 602, 713, 568, 14322, 649, 2015, 476, 1691, 547, 581, 2165, 1948, 272, 910, 3006, 621, 568, 2808, 547, 581, 2165, 1948, 271, 267, 4611, 538, 519, 1454, 12137, 518, 4542, 476, 1691, 910, 476, 276, 333, 269, 5269, 1022, 11941, 2556, 1759, 593, 707, 1362, 267, 855, 713, 1058, 1205, 596, 519, 2489, 2856, 24355, 32621, 1384, 23192, 17397, 676, 1535, 30893, 322, 343, 454, 273, 269, 769, 606, 12980, 5311, 267, 512, 1428, 15871, 2767, 543, 512, 1015, 15871, 1321, 269, 4855, 519, 1871, 540, 519, 1101, 2165, 543, 519, 1455, 3017, 780, 3383, 519, 476, 1015, 628, 2165, 568, 910, 1321, 543, 519, 476, 1428, 628, 2165, 568, 910, 2767, 269, 2334, 1797, 789, 2811, 476, 1428, 6306, 538, 1871, 267, 543, 476, 276, 2474, 6306, 269, 1924, 267, 538, 519, 2230, 540, 476, 276, 2474, 267, 649, 723, 547, 10208, 513, 2698, 540, 476, 1428, 267, 543, 649, 723, 547, 10208, 519, 1482, 2179, 269, 10406, 630, 1428, 270, 276, 264, 6645, 721, 649, 1058, 10208, 476, 274, 1142, 942, 267, 543, 713, 11974, 856, 910, 4358, 609, 2165, 476, 1015, 543, 10678, 609, 2165, 476, 1428, 1384, 268, 1321, 267, 910, 1428, 267, 910, 1240, 267, 910, 2641, 267, 910, 2190, 267, 910, 2767, 780, 3383, 519, 1455, 3017, 568, 910, 274, 269, 3767, 267, 649, 991, 547, 960, 23651, 689, 2165, 476, 1015, 547, 1205, 1394, 547, 519, 1101, 2165, 269, 4595, 519, 1455, 3017, 568, 910, 274, 267, 855, 649, 2811, 2324, 23651, 267, 649, 991, 547, 1039, 476, 274, 1142, 942, 269, 634, 476, 280, 628, 2165, 267, 1287, 267, 786, 581, 910, 280, 267, 543, 865, 593, 269, 5901, 2469, 1394, 607, 2484, 607, 596, 991, 547, 780, 32621, 1384, 23192, 17397, 676, 1535, 30893, 322, 343, 454, 274, 269, 3503, 606, 4082, 267, 538, 16866, 1106, 267, 585, 519, 2489, 2165, 540, 519, 5311, 538, 799, 519, 1101, 2165, 568, 476, 1626, 543, 1142, 8011, 532, 2165, 568, 476, 272, 270, 273, 519, 1354, 621, 780, 763, 2034, 2165, 267, 1287, 267, 786, 581, 476, 1626, 2608, 630, 272, 270, 273, 1070, 1318, 286, 630, 7775, 267, 3274, 267, 476, 279, 6393, 763, 3791, 2165, 786, 581, 3368, 519, 2034, 2165, 267, 610, 476, 1626, 2608, 630, 272, 270, 273, 264, 2608, 630, 272, 270, 273, 264, 815, 476, 1626, 2608, 630, 272, 270, 273, 8203, 273, 269, 630, 7775, 267, 3274, 267, 476, 275, 6393, 763, 8772, 2165, 786, 581, 3368, 519, 3791, 2165, 267, 610, 476, 1626, 2608, 630, 272, 270, 273, 8203, 273, 2608, 630, 272, 270, 273, 264, 815, 476, 1626, 2608, 630, 272, 270, 273, 8203, 274, 269, 6423, 513, 4806, 3384, 2496, 3725, 958, 267, 519, 1152, 3364, 4657, 568, 519, 20800, 547, 476, 272, 270, 273, 269, 1215, 1281, 519, 20800, 9305, 547, 799, 2165, 649, 2811, 593, 286, 4495, 596, 4137, 713, 856, 267, 1018, 786, 519, 20800, 581, 952, 519, 2165, 1948, 568, 513, 2489, 835, 267, 899, 562, 2496, 28775, 713, 2337, 256, 2659, 1257, 4440, 814, 12596, 585, 1082, 540, 891, 1919, 267, 855, 6038, 1620, 18040, 16730, 519, 12596, 2097, 689, 267, 799, 568, 1018, 594, 6836, 547, 2491, 1657, 267, 568, 513, 2603, 811, 3730, 982, 1175, 8357, 1944, 519, 12596, 267, 799, 666, 581, 16602, 563, 1892, 4924, 476, 2767, 628, 476, 1220, 279, 267, 476, 6187, 281, 1789, 7537, 454, 306, 528, 984, 534, 454, 15916, 267, 1535, 30893, 322, 343, 2439, 2791, 616, 4397, 547, 917, 513, 4542, 585, 519, 1269, 333, 3867, 628, 4151, 2165, 540, 606, 12980, 5311, 1384, 269, 1547, 1269, 320, 5332, 1422, 281, 7807, 281, 320, 1341, 630, 333, 268, 272, 264, 323, 12101, 282, 315, 3667, 346, 1141, 7684, 320, 20728, 346, 815, 1101, 2165, 267, 7684, 323, 20728, 346, 815, 1455, 3017, 269, 10592, 32621, 1384, 272, 269, 3503, 606, 4082, 585, 519, 2489, 2165, 540, 519, 5311, 538, 799, 454, 1492, 1101, 2165, 568, 476, 1691, 543, 1142, 2165, 568, 476, 276, 1447, 982, 519, 2165, 18631, 621, 780, 2171, 616, 2016, 281, 1547, 1269, 320, 815, 476, 1691, 20728, 346, 543, 7684, 323, 815, 910, 276, 6911, 11997, 281, 1547, 1269, 320, 5332, 31046, 7807, 282, 1691, 1341, 630, 333, 268, 272, 7565, 268, 276, 264, 1422, 15153, 315, 23976, 315, 15153, 315, 7901, 539, 346, 513, 5332, 20939, 7807, 282, 866, 268, 276, 333, 10592, 32621, 1384, 273, 269, 769, 606, 12980, 5311, 267, 1269, 339, 3709, 1428, 18098, 3667, 24877, 348, 2767, 20728, 346, 543, 7684, 339, 3709, 1015, 13157, 1422, 3667, 24877, 348, 1321, 14204, 8340, 519, 1101, 2165, 543, 519, 1455, 3017, 780, 8794, 519, 4542, 281, 1547, 4399, 8218, 15204, 2410, 764, 764, 8679, 339, 3709, 1428, 4153, 281, 7807, 24097, 3667, 24877, 348, 2767, 1299, 1422, 23976, 1299, 513, 1341, 476, 1691, 323, 1422, 281, 7807, 24097, 3667, 24877, 348, 2767, 1299, 11513, 10233, 346, 19990, 22042, 272, 316, 348, 8607, 454, 339, 3709, 1015, 4153, 281, 7807, 24097, 3667, 24877, 348, 1321, 1299, 1422, 23976, 1299, 513, 1341, 476, 280, 323, 1422, 281, 7807, 24097, 3667, 24877, 348, 1321, 1299, 11513, 10233, 346, 19990, 22042, 273, 316, 348, 1422, 754, 15204, 10592, 8138, 339, 847, 1496, 273, 316, 689, 1496, 272, 13912, 1547, 1269, 276, 323, 1422, 281, 7807, 18737, 1428, 315, 15153, 315, 23976, 315, 15153, 1422, 7901, 539, 18097, 315, 281, 7807, 18737, 274, 10592, 27802, 3482, 883, 1496, 273, 13912, 1547, 1269, 320, 1341, 476, 280, 8987, 274, 264, 1422, 281, 7807, 18737, 1321, 315, 15153, 315, 23976, 315, 15153, 315, 7901, 539, 346, 513, 1422, 281, 7807, 281, 1428, 10592, 32621, 1384, 274, 269, 3503, 606, 4082, 585, 519, 2489, 2165, 540, 519, 5311, 538, 799, 454, 1492, 1101, 2165, 568, 476, 1626, 543, 1142, 8011, 532, 2165, 568, 476, 272, 270, 273, 519, 2165, 1354, 621, 780, 1607, 568, 513, 12166, 5311, 1547, 1547, 1547, 1269, 320, 5332, 31046, 7807, 282, 541, 3867, 333, 268, 272, 21456, 269, 1547, 1141, 1269, 320, 259, 815, 1101, 2165, 267, 1269, 337, 259, 815, 1455, 5223, 780, 2171, 616, 2016, 281, 1547, 1269, 320, 22773, 7807, 267, 1626, 12101, 282, 337, 20867, 7807, 12101, 2765, 346, 272, 2410, 273, 10592, 11997, 281, 1547, 1269, 320, 5332, 315, 281, 7807, 281, 1626, 13375, 7268, 2765, 346, 272, 2410, 273, 4153, 2431, 22722, 333, 268, 272, 4153, 15153, 315, 23976, 315, 15153, 513, 5332, 1422, 281, 7807, 24097, 2765, 346, 273, 317, 275, 2410, 273, 3867, 333, 268, 272, 3686, 1422, 15153, 315, 23976, 315, 15153, 315, 7901, 539, 21151, 5332, 315, 281, 7807, 24097, 2765, 346, 272, 2410, 273, 3867, 333, 268, 276, 3686, 4151, 0, 3240, 31941, 687, 454, 31374, 676, 1007, 454, 18661, 643, 710, 1109, 1260, 7757, 593, 513, 2022, 538, 678, 270, 2532, 4118, 454, 274, 454, 18661, 643, 710, 476, 272, 1448, 692, 2237, 533, 815, 476, 272, 270, 273, 1341, 552, 267, 1141, 552, 568, 538, 30585, 272, 270, 273, 267, 272, 270, 273, 4940, 3973, 7117, 815, 476, 272, 270, 273, 910, 552, 267, 543, 692, 335, 325, 3287, 8584, 264, 1341, 336, 325, 3287, 266, 320, 264, 910, 325, 3287, 264, 815, 476, 273, 268, 272, 630, 325, 3287, 8584, 264, 1341, 535, 3287, 266, 320, 264, 910, 476, 273, 325 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 581, 547, 4492, 513, 6612, 267, 610, 1721, 18399, 267, 10761, 267, 610, 7279, 269, 1284, 782, 723, 519, 1761, 547, 581, 22530, 541, 2021, 267, 799, 568, 1946, 1985, 19496, 594, 786, 581, 10962, 519, 1101, 26263, 1580, 531, 12339, 2297, 11036, 269, 3962, 6830, 9519, 594, 786, 581, 4687, 519, 1650, 540, 513, 1412, 21841, 28588, 538, 13241, 262, 547, 5000, 4010, 1018, 27239, 12448, 338, 7150, 910, 22299, 532, 4008, 9698, 538, 13241, 563, 4002, 519, 4063, 540, 2875, 1761, 267, 513, 1906, 4374, 3516, 649, 9976, 519, 14288, 28742, 543, 14288, 20306, 677, 22952, 585, 1053, 2066, 782, 1032, 2157, 269, 594, 8910, 899, 547, 7249, 7806, 3634, 891, 6690, 1586, 585, 741, 2182, 960, 543, 4797, 11428, 547, 741, 2090, 282, 1832, 621, 909, 256, 634, 5729, 476, 1556, 338, 849, 6192, 741, 1101, 12499, 5498, 332, 6856, 981, 3625, 585, 519, 1007, 11083, 2752, 1062, 269, 1452, 6690, 723, 2944, 513, 9735, 2816, 15268, 547, 519, 1007, 1062, 282, 519, 4674, 267, 15131, 267, 543, 2319, 960, 789, 723, 7152, 568, 606, 6667, 585, 782, 7820, 1053, 563, 2171, 2461, 683, 2130, 519, 1439, 540, 2165, 267, 543, 594, 6557, 2386, 649, 2461, 782, 4712, 585, 513, 1614, 22173, 9702, 256, 1717, 267, 1439, 6361, 5498, 332, 6856, 11400, 616, 3592, 2390, 721, 267, 865, 1832, 909, 519, 8404, 543, 5397, 513, 2370, 1247, 3476, 538, 7041, 585, 513, 1134, 17393, 5703, 1964, 256, 0, 3891, 8283, 2872, 568, 2872, 602, 3322, 835, 610, 811, 4162, 971, 607, 1804, 543, 5230, 2472, 269, 5221, 540, 1346, 2188, 267, 5230, 2872, 3322, 2362, 3854, 8515, 982, 1769, 2872, 1281, 267, 621, 568, 1419, 811, 7814, 673, 538, 5092, 543, 7694, 269, 18815, 543, 4070, 2059, 609, 741, 25318, 5663, 3761, 4213, 723, 1044, 519, 13557, 540, 5230, 2872, 2429, 519, 4853, 2085, 267, 2059, 609, 930, 3854, 25673, 5663, 269, 12465, 1806, 689, 519, 4571, 268, 866, 628, 2540, 998, 519, 2038, 476, 736, 628, 3769, 5374, 14708, 267, 25044, 2504, 267, 21525, 12067, 552, 14431, 267, 3684, 1907, 2679, 267, 519, 18219, 2010, 540, 5599, 269, 3245, 519, 3735, 476, 866, 628, 2540, 998, 519, 4571, 268, 736, 628, 267, 607, 519, 3114, 2872, 543, 5122, 2872, 2919, 267, 789, 3238, 3334, 540, 1312, 5230, 2872, 543, 1769, 2872, 267, 4166, 3020, 585, 519, 16669, 2872, 543, 519, 8484, 2872, 269, 7073, 6928, 20761, 568, 2808, 5230, 2872, 269, 14066, 1949, 616, 8984, 540, 5230, 2872, 971, 607, 519, 4070, 540, 1236, 903, 322, 1905, 619, 543, 1804, 21394, 1282, 519, 2022, 1700, 13328, 2782, 4083, 5736, 267, 519, 5478, 270, 1372, 7877, 540, 1804, 31244, 543, 9649, 2842, 18434, 998, 519, 476, 2641, 560, 2540, 563, 6624, 5101, 7489, 2477, 7048, 593, 5230, 2872, 607, 1883, 2694, 540, 741, 2949, 11615, 269, 901, 16126, 593, 5230, 2872, 568, 513, 2339, 540, 2229, 2804, 3609, 269, 7324, 5545, 543, 11114, 10909, 609, 834, 515, 8283, 2872, 257, 538, 741, 4408, 267, 1082, 616, 9755, 540, 23825, 2472, 543, 8878, 25255, 547, 741, 9757, 2477, 262, 6608, 971, 607, 3567, 781, 17540, 10202, 24581, 24322, 543, 9705, 781, 5754, 1495, 2967, 15585, 655, 267, 513, 4745, 1788, 540, 5754, 1495, 2967, 24581, 24322, 543, 20707, 1168, 5622, 24581, 24322, 269, 769, 476, 736, 628, 10601, 21340, 2829, 267, 519, 4058, 540, 519, 4346, 5059, 593, 5230, 2872, 607, 606, 1858, 585, 1804, 9541, 547, 519, 6708, 540, 11213, 4316, 3790, 593, 519, 2504, 1700, 335, 1601, 2225, 20281, 282, 713, 729, 12592, 676, 12194, 540, 17528, 547, 2226, 4108, 26027, 609, 4914, 24041, 7060, 269, 1280, 1383, 267, 519, 8168, 5742, 781, 812, 545, 22713, 538, 519, 476, 4350, 271, 338, 267, 609, 5230, 2872, 607, 519, 23163, 8561, 267, 8179, 547, 3142, 922, 2702, 547, 3132, 18114, 267, 25044, 543, 10617, 4721, 909, 547, 513, 1377, 602, 1131, 1118, 519, 2197, 513, 1390, 1379, 563, 19770, 896, 31474, 2098, 539, 784, 22002, 513, 2147, 4640, 28285, 538, 519, 4279, 2274, 777, 28644, 540, 476, 4198, 279, 1700, 3422, 271, 267, 606, 3801, 547, 4853, 1125, 543, 2445, 643, 1125, 269, 901, 22713, 3801, 8959, 547, 1711, 22713, 543, 3079, 3361, 519, 4279, 4457, 5482, 710, 267, 538, 799, 476, 1839, 268, 1789, 2929, 1004, 5747, 16349, 569, 269, 24581, 2872, 568, 3006, 513, 2027, 25084, 538, 2199, 1990, 11238, 4031, 282, 713, 2636, 6080, 609, 5230, 5222, 547, 581, 521, 1243, 609, 2062, 2288, 339, 269, 1280, 1383, 267, 519, 1990, 11238, 9993, 585, 26071, 1491, 883, 2272, 519, 5230, 14903, 6808, 602, 786, 11851, 7199, 5957, 593, 519, 9897, 3056, 547, 519, 25087, 269, 9502, 540, 262, 3891, 8283, 12752, 262, 2687, 547, 7767, 31638, 2593, 454, 21691, 663, 519, 6243, 540, 12996, 267, 568, 513, 2197, 4092, 538, 6239, 2342, 269, 898, 568, 5258, 883, 476, 1626, 11889, 30834, 2888, 267, 8720, 606, 1858, 540, 476, 24374, 267, 7597, 277, 4009, 21240, 267, 814, 513, 22465, 12119, 2916, 269, 2060, 513, 2551, 540, 476, 4343, 269, 276, 2929, 1004, 267, 12996, 568, 519, 15795, 1034, 29245, 4759, 1533, 540, 519, 3864, 5742, 269, 12996, 781, 3854, 543, 4102, 1558, 24227, 568, 32160, 269, 4033, 2101, 4872, 1331, 918, 21531, 6759, 342, 267, 15662, 479, 6759, 323, 385, 374, 267, 654, 10635, 22119, 1177, 267, 7313, 345, 3534, 385, 482, 267, 717, 6767, 385, 482, 12921, 267, 590, 345, 322, 345, 1815, 514, 269, 12996, 568, 536, 23912, 676, 519, 27397, 7256, 267, 6576, 781, 17833, 1456, 2784, 744, 4565, 770, 543, 26403, 807, 547, 519, 5087, 543, 12907, 547, 519, 7532, 543, 16231, 6243, 267, 547, 519, 5045, 267, 5125, 547, 519, 7178, 282, 519, 10661, 540, 519, 14470, 1533, 666, 581, 14360, 1394, 547, 5084, 476, 280, 5780, 267, 950, 631, 625, 345, 14150, 594, 267, 14610, 540, 519, 7706, 1071, 2169, 2400, 609, 519, 8513, 540, 1459, 6377, 12996, 267, 10736, 547, 8567, 269, 634, 8003, 540, 12996, 729, 8547, 538, 476, 9083, 276, 267, 538, 476, 14444, 280, 621, 2781, 7757, 922, 32618, 2797, 7681, 609, 519, 9835, 667, 1276, 344, 540, 26403, 807, 676, 19142, 519, 5742, 540, 700, 889, 4802, 282, 713, 9769, 4646, 519, 14470, 1700, 299, 603, 10224, 1014, 20448, 267, 835, 540, 519, 4102, 543, 1034, 29245, 2477, 540, 476, 1626, 628, 543, 476, 1704, 628, 2540, 2342, 267, 609, 513, 19918, 12666, 2797, 1062, 799, 7550, 2342, 781, 1101, 2854, 3084, 11156, 267, 519, 9139, 540, 476, 274, 2904, 476, 9692, 272, 563, 5415, 982, 513, 2540, 1310, 519, 3487, 1431, 540, 12996, 693, 519, 1439, 540, 519, 476, 1240, 628, 2540, 267, 12996, 1036, 7134, 922, 7115, 538, 476, 4489, 279, 609, 519, 15521, 540, 12411, 320, 14792, 269, 769, 5181, 476, 4350, 280, 267, 2622, 2782, 4083, 3323, 609, 519, 12289, 540, 12996, 676, 5125, 267, 4553, 676, 519, 8168, 5742, 32415, 12996, 538, 13076, 609, 519, 20703, 582, 990, 1700, 305, 756, 321, 550, 1886, 623, 716, 269, 2859, 982, 3670, 2929, 14470, 4961, 267, 1519, 476, 3445, 260, 540, 519, 2197, 781, 7642, 267, 829, 1639, 538, 519, 2112, 269, 769, 476, 3707, 278, 267, 519, 14470, 4658, 781, 6243, 729, 3964, 607, 513, 9682, 1533, 896, 8168, 3310, 269, 769, 519, 21987, 540, 519, 4860, 30055, 540, 476, 2735, 280, 267, 1034, 16113, 998, 519, 11944, 540, 519, 20348, 10846, 3350, 267, 12996, 556, 652, 21521, 3294, 607, 513, 16232, 11180, 14081, 269, 12996, 568, 6237, 1379, 267, 621, 814, 519, 11359, 4102, 4346, 676, 12654, 538, 519, 3864, 5742, 543, 835, 540, 519, 1034, 6422, 11615, 538, 519, 1158, 8236, 513, 1164, 7584, 593, 519, 5274, 4886, 12039, 269, 3958, 267, 519, 14470, 14351, 16510, 538, 32160, 568, 519, 4102, 543, 1034, 1271, 538, 6239, 2342, 269, 12996, 568, 513, 2919, 2197, 267, 799, 15387, 513, 1164, 13867, 4346, 2059, 609, 1164, 4441, 540, 2713, 267, 1272, 2298, 267, 3106, 543, 2804, 5191, 563, 16352, 513, 2919, 1153, 3872, 1062, 267, 519, 2197, 2488, 1863, 6280, 2069, 267, 1533, 30845, 1514, 3354, 267, 513, 8471, 1072, 1416, 1062, 585, 782, 4961, 269, 12996, 814, 476, 1428, 20648, 2622, 11595, 26317, 269, 12996, 568, 513, 4759, 1533, 540, 519, 3864, 5742, 267, 519, 2480, 26907, 523, 9351, 267, 519, 2136, 8315, 267, 24114, 267, 519, 31232, 267, 519, 8422, 1530, 553, 19541, 267, 519, 966, 1047, 23950, 5451, 323, 6828, 282, 519, 5169, 540, 519, 2012, 834, 21691, 663, 257, 24283, 689, 519, 4639, 23577, 545, 14316, 540, 2717, 753, 602, 20948, 519, 654, 21840, 5757, 16935, 540, 519, 8978, 20523, 12996, 3148, 4358, 538, 519, 476, 277, 628, 2540, 269, 634, 5169, 540, 519, 2012, 834, 21691, 534, 773, 257, 3294, 24283, 689, 519, 2038, 23577, 545, 2262, 834, 335, 1961, 2668, 769, 930, 4654, 267, 971, 607, 23826, 267, 26403, 1014, 543, 15349, 267, 519, 608, 7716, 585, 12996, 568, 2274, 577, 2572, 267, 799, 24283, 689, 519, 2012, 540, 513, 10859, 268, 5586, 754, 776, 14610, 540, 2717, 753, 267, 2274, 577, 594, 269, 7216, 27705, 6520, 538, 12996, 13175, 1472, 476, 13301, 271, 7460, 267, 1247, 519, 11635, 6520, 862, 10642, 538, 476, 16020, 7460, 269, 4438, 713, 942, 267, 519, 700, 639, 520, 1014, 2528, 267, 17364, 1312, 519, 27705, 543, 11635, 12698, 267, 2968, 7986, 282, 519, 1034, 4583, 15456, 1265, 689, 519, 840, 20931, 543, 1486, 2129, 626, 800, 540, 12996, 568, 519, 645, 7416, 1575, 514, 25167, 11175, 267, 6580, 689, 519, 700, 639, 520, 1014, 2528, 540, 519, 2038, 11635, 6520, 267, 1472, 476, 10384, 7460, 563, 9961, 519, 4165, 18709, 1974, 267, 1082, 3982, 3504, 6803, 2516, 20651, 519, 4525, 540, 1018, 568, 1631, 12996, 538, 606, 5736, 602, 7389, 689, 827, 476, 6110, 7460, 547, 476, 4335, 5084, 269, 1452, 2516, 616, 4857, 607, 22469, 267, 23577, 545, 543, 27272, 11031, 269, 10765, 18840, 1670, 4681, 538, 519, 27173, 329, 1177, 344, 3148, 267, 9672, 519, 4527, 540, 519, 4936, 6181, 687, 593, 519, 8513, 540, 12996, 282, 891, 941, 1034, 16939, 776, 13485, 2366, 856, 547, 2149, 519, 993, 828, 4123, 269, 634, 3169, 942, 543, 11507, 540, 519, 3312, 9194, 543, 11175, 540, 23577, 545, 9082, 19330, 2854, 5638, 543, 666, 1152, 581, 3989, 607, 27929, 282, 519, 23577, 545, 11031, 945, 1131, 1106, 12996, 28953, 547, 891, 2127, 538, 519, 2034, 3368, 540, 519, 476, 276, 628, 2540, 5084, 269, 5455, 2394, 519, 5137, 540, 631, 625, 345, 14150, 781, 1533, 543, 1010, 7766, 7503, 547, 8567, 538, 476, 280, 5780, 5084, 267, 519, 1292, 4984, 540, 23577, 545, 11031, 602, 20948, 519, 10923, 1858, 540, 1459, 6377, 12996, 729, 23577, 545, 25384, 1143, 269, 2060, 519, 19097, 1143, 540, 12996, 519, 14470, 17710, 7608, 8567, 543, 519, 3909, 6392, 540, 519, 4936, 5783, 563, 4913, 267, 519, 5912, 689, 25384, 1143, 729, 711, 513, 5347, 543, 31302, 1184, 585, 519, 1964, 540, 519, 2551, 607, 10423, 689, 519, 25384, 5114, 540, 519, 476, 9818, 271, 338, 269, 12996, 3459, 547, 1106, 883, 513, 25992, 1770, 776, 543, 16857, 11769, 1472, 519, 1647, 540, 519, 476, 1015, 628, 2540, 896, 519, 13100, 770, 15913, 269, 12996, 781, 1101, 13006, 14610, 267, 631, 625, 345, 14150, 594, 267, 7608, 8567, 609, 519, 19097, 1143, 540, 12996, 538, 476, 280, 5780, 267, 607, 519, 1007, 4013, 4984, 540, 1010, 5396, 282, 519, 13557, 540, 519, 2551, 10736, 538, 519, 1576, 540, 519, 1985, 1906, 5553, 269, 769, 476, 1911, 271, 267, 645, 3421, 18721, 519, 4858, 557, 267, 11173, 519, 3609, 540, 1010, 4651, 631, 625, 345, 14150, 267, 4371, 513, 6837, 540, 717, 22448, 345, 7224, 543, 2813, 519, 1558, 24227, 540, 717, 22448, 345, 7224, 543, 519, 1019, 665, 525, 525, 540, 918, 21531, 6759, 342, 267, 25391, 22119, 984, 337, 345, 1122, 267, 654, 10635, 22119, 1177, 269, 1717, 267, 519, 25384, 19727, 3366, 547, 519, 4483, 540, 519, 3854, 547, 918, 21531, 6759, 342, 538, 476, 9818, 279, 676, 16629, 25504, 594, 519, 10163, 648, 337, 269, 769, 476, 8099, 280, 267, 13584, 645, 3421, 22119, 1177, 8633, 654, 787, 17625, 17204, 519, 3751, 540, 5125, 8361, 966, 693, 519, 11135, 540, 670, 1495, 338, 26709, 267, 16069, 519, 2983, 454, 2304, 2872, 568, 519, 2504, 540, 5370, 610, 1644, 2533, 1369, 606, 4346, 269, 634, 2101, 2707, 540, 8907 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 519, 2139, 2200, 543, 2333, 3484, 2504, 543, 2087, 938, 28211, 538, 1158, 6990, 269, 0, 763, 5616, 667, 22259, 593, 11728, 9976, 519, 1298, 32418, 540, 12021, 1566, 11209, 332, 6048, 29583, 785, 28385, 10469, 330, 21648, 342, 18081, 267, 1634, 607, 1412, 7804, 966, 262, 1851, 1010, 2550, 267, 945, 1166, 18088, 547, 519, 589, 9545, 785, 16685, 11233, 602, 646, 8547, 538, 8496, 29718, 563, 29820, 593, 713, 1554, 538, 476, 4489, 279, 538, 966, 611, 600, 531, 777, 340, 1090, 267, 20474, 24385, 340, 267, 10469, 330, 21648, 342, 18081, 729, 18385, 524, 23774, 1194, 676, 27131, 12263, 269, 1717, 267, 5103, 1010, 1378, 1072, 2152, 267, 4986, 1223, 3247, 1864, 689, 1018, 646, 4941, 547, 581, 563, 3891, 13984, 513, 1153, 538, 1010, 8498, 1141, 1053, 1185, 547, 2328, 593, 5070, 799, 6394, 689, 519, 5757, 23810, 607, 972, 729, 1100, 15513, 543, 1957, 269, 13536, 646, 4682, 593, 547, 1353, 11061, 693, 519, 1977, 5441, 538, 8496, 29718, 543, 12236, 513, 4110, 540, 631, 6185, 269, 689, 26304, 6481, 5441, 538, 8496, 6652, 538, 476, 3707, 275, 563, 3891, 729, 16876, 547, 5127, 585, 513, 1032, 269, 1879, 646, 8120, 547, 19174, 267, 10469, 330, 21648, 342, 18081, 6594, 585, 513, 4110, 538, 29555, 17443, 538, 476, 4198, 272, 563, 763, 589, 9545, 785, 16685, 11233, 799, 814, 1631, 9927, 883, 513, 2101, 5832, 16701, 21899, 25942, 716, 1644, 21901, 267, 1185, 13175, 607, 513, 476, 1556, 1532, 539, 6413, 896, 519, 513, 1122, 529, 540, 10469, 330, 21648, 342, 18081, 538, 476, 3192, 277, 563, 3891, 1031, 547, 1418, 1047, 3750, 13122, 538, 6917, 2950, 267, 799, 1131, 4196, 607, 513, 11222, 8998, 585, 519, 9420, 543, 513, 2866, 8400, 585, 29555, 6193, 20843, 267, 1282, 713, 829, 573, 646, 5340, 936, 476, 272, 267, 876, 267, 1822, 3811, 3750, 23361, 267, 519, 5616, 5816, 14006, 1767, 563, 1103, 476, 3192, 274, 267, 10469, 330, 21648, 342, 18081, 4607, 519, 22087, 332, 1662, 872, 8366, 563, 263, 1607, 1650, 814, 711, 1044, 12995, 676, 6355, 9208, 5234, 543, 568, 10081, 24378, 689, 513, 25102, 5344, 3049, 4700, 0, 763, 12124, 4659, 814, 606, 7317, 4786, 602, 2982, 875, 1082, 4892, 616, 538, 7963, 10315, 8386, 28029, 344, 269, 1809, 711, 1175, 834, 514, 7963, 2437, 1317, 602, 1131, 581, 3592, 782, 540, 721, 269, 901, 2982, 519, 6871, 540, 1004, 4171, 22440, 723, 8854, 547, 10070, 563, 5719, 23336, 538, 10070, 2882, 2250, 268, 16746, 5491, 3515, 602, 723, 1044, 6806, 543, 9901, 11325, 593, 741, 2835, 607, 1134, 607, 10002, 4660, 12014, 4080, 547, 519, 5491, 536, 675, 9476, 602, 519, 3841, 3218, 568, 12394, 547, 2445, 269, 1280, 1383, 267, 5491, 3556, 6589, 4283, 10070, 4567, 2899, 789, 616, 476, 5197, 2395, 2250, 1813, 563, 4263, 519, 3135, 267, 596, 666, 4945, 593, 17521, 547, 1205, 513, 15059, 540, 519, 6871, 540, 1004, 538, 10070, 267, 875, 1454, 789, 28297, 267, 543, 1018, 6871, 7640, 525, 2564, 7963, 269, 3733, 10315, 2982, 476, 7367, 260, 540, 10820, 723, 7963, 538, 10070, 267, 543, 476, 3451, 260, 723, 2564, 7963, 538, 10070, 269, 1403, 1152, 649, 1223, 782, 581, 899, 16506, 269, 910, 16129, 6226, 326, 0, 29619, 540, 674, 5202, 16164, 9435, 454, 306, 7219, 2860, 13315, 513, 3376, 7121, 540, 12970, 602, 2882, 1022, 29252, 2208, 540, 2281, 540, 519, 2960, 610, 2404, 3889, 971, 607, 15374, 267, 4552, 32235, 543, 11215, 8031, 630, 325, 520, 543, 24561, 5160, 1040, 5450, 770, 12118, 630, 4944, 1348, 264, 547, 519, 2960, 689, 12970, 11992, 538, 519, 1560, 666, 2049, 855, 891, 616, 711, 2808, 2960, 12970, 1317, 789, 1705, 711, 1376, 538, 519, 2960, 563, 763, 2960, 568, 519, 2034, 1034, 1455, 3135, 540, 2860, 538, 519, 3032, 269, 16164, 12970, 538, 7314, 616, 811, 2693, 547, 581, 23872, 982, 1346, 538, 5243, 269, 16164, 2860, 4749, 4386, 538, 7314, 602, 616, 1647, 27070, 547, 4587, 630, 338, 1460, 547, 476, 1691, 1296, 540, 2085, 1070, 4352, 972, 616, 1896, 2010, 540, 2960, 11871, 602, 2049, 538, 1762, 7314, 269, 1703, 616, 1100, 14981, 540, 7314, 602, 616, 811, 4122, 4299, 609, 2960, 12970, 982, 1866, 563, 763, 2014, 540, 519, 5354, 540, 2960, 11871, 568, 7164, 269, 22452, 547, 519, 3141, 814, 1044, 3254, 547, 2014, 513, 2362, 11841, 540, 1079, 2010, 540, 2960, 2860, 281, 2695, 13904, 1591, 26217, 543, 8280, 30231, 5448, 269, 19949, 602, 616, 3043, 543, 2661, 13964, 723, 513, 1164, 11841, 540, 2695, 13904, 1591, 26217, 267, 3226, 538, 2694, 540, 519, 1560, 602, 723, 513, 6094, 4552, 1723, 520, 971, 607, 519, 10772, 267, 9224, 543, 22442, 1749, 269, 634, 26804, 6375, 32759, 3644, 630, 293, 4353, 264, 814, 849, 1044, 5532, 547, 519, 1646, 540, 2695, 13904, 1591, 26217, 538, 7314, 267, 4352, 621, 568, 15458, 1018, 1909, 519, 3644, 4249, 538, 519, 1646, 540, 891, 12970, 269, 1703, 949, 581, 513, 4719, 4493, 585, 519, 1646, 540, 1978, 11871, 563, 306, 7219, 11871, 666, 581, 5258, 883, 2185, 1114, 6688, 267, 4470, 2390, 519, 1591, 1826, 602, 568, 3238, 269, 1452, 6688, 616, 25853, 12970, 267, 8544, 26067, 2096, 531, 12970, 267, 5180, 1591, 12970, 543, 14264, 5557, 563, 1103, 7314, 519, 1034, 1455, 12970, 616, 21828, 1591, 12970, 267, 2695, 13904, 1591, 26217, 267, 15958, 1591, 12970, 543, 4017, 4592, 541, 19265, 269, 4107, 2960, 11871, 2408, 607, 513, 26686, 538, 610, 18284, 519, 2960, 610, 607, 513, 15319, 602, 1281, 711, 12115, 269, 19949, 609, 2960, 2860, 949, 1995, 9636, 610, 621, 577, 1465, 1317, 540, 519, 2860, 269, 901, 949, 2014, 873, 547, 25261, 610, 15072, 693, 519, 4299, 1858, 269, 2060, 1978, 1826, 540, 11871, 972, 949, 849, 581, 25017, 547, 519, 2960, 610, 621, 949, 723, 513, 1166, 21294, 5920, 563, 28536, 2670, 540, 16164, 9435, 538, 19949, 454, 28536, 8251, 4255, 616, 2877, 547, 5431, 2960, 2860, 543, 23868, 824, 3676, 269, 634, 2702, 547, 1521, 513, 2960, 2860, 6707, 5673, 2390, 519, 1826, 540, 2860, 543, 875, 4359, 621, 568, 693, 519, 942, 540, 5868, 269, 18873, 602, 707, 16943, 949, 6999, 547, 1685, 1331, 912, 21675, 540, 16164, 9435, 538, 19949, 454, 21675, 585, 2960, 2860, 5673, 593, 519, 1826, 540, 10510, 602, 568, 1459, 543, 875, 4359, 519, 2068, 568, 693, 519, 942, 540, 5868, 563, 12709, 5516, 543, 10644, 454, 2750, 8533, 707, 3032, 779, 2960, 593, 513, 2834, 4493, 269, 1403, 596, 4063, 513, 1007, 26686, 267, 513, 15319, 602, 1281, 711, 2408, 547, 12115, 267, 610, 824, 2242, 538, 519, 2960, 3343, 18915, 3007, 607, 4166, 607, 2009, 563, 5475, 6391, 6895, 519, 1651, 1707, 585, 25017, 267, 11926, 610, 11166, 269, 1325, 1068, 707, 16943, 952, 1022, 540, 891, 4191, 616, 7074, 563, 22879, 12675, 4598, 540, 707, 3032, 547, 7943, 269, 901, 568, 3226, 1271, 952, 707, 3032, 814, 1769, 11954, 2960, 269, 1403, 596, 723, 513, 3043, 3032, 602, 15055, 547, 1694, 538, 9486, 1571, 267, 2307, 707, 16943, 2436, 596, 1058, 2015, 11093, 513, 24429, 593, 1200, 1274, 4388, 269, 0, 7922, 754, 543, 6226, 1429, 21998, 454, 12606, 476, 1911, 267, 1822, 266, 3817, 540, 6909, 942, 22766, 3450, 2200, 563, 18704, 2093, 267, 7662, 2200, 267, 2307, 2055, 267, 543, 1921, 609, 824, 3610, 563, 20578, 1125, 543, 1711, 707, 1378, 3450, 2200, 543, 4159, 2326, 563, 5938, 778, 609, 3102, 267, 6437, 13988, 4559, 543, 4245, 563, 289, 12864, 543, 4647, 2200, 267, 4559, 543, 4245, 676, 6437, 3009, 610, 1565, 1858, 563, 8196, 2241, 8924, 602, 948, 596, 798, 782, 5686, 540, 3730, 1919, 563, 3080, 4116, 269, 5565, 1544, 3681, 269, 476, 1321, 3275, 1569, 585, 835, 1970, 13927, 563, 26668, 610, 811, 3610, 269, 476, 1321, 3275, 1569, 585, 835, 31680, 13927, 563, 288, 1305, 540, 476, 3953, 11100, 543, 2007, 1429, 6486, 602, 666, 581, 1031, 538, 513, 3099, 540, 2081, 563, 2304, 4672, 3691, 6033, 3014, 547, 1404, 693, 519, 4098, 540, 519, 1032, 610, 950, 2324, 593, 2319, 2679, 563, 288, 7524, 1305, 540, 19297, 547, 4159, 538, 519, 4928, 547, 3895, 4484, 6284, 543, 13093, 2438, 4656, 563, 288, 4976, 547, 946, 950, 1053, 991, 1603, 6667, 585, 513, 2239, 4062, 563, 30395, 1297, 2631, 1983, 609, 713, 1305, 540, 476, 736, 4305, 6486, 563, 288, 4976, 547, 946, 950, 1316, 2358, 1297, 3270, 563, 288, 1187, 14914, 4739, 2534, 1210, 606, 14914, 536, 22324, 609, 1187, 5652, 14296, 563, 2304, 14914, 4739, 2534, 1141, 1053, 30164, 606, 4212, 609, 8188, 543, 17960, 563, 288, 1804, 7792, 7990, 532, 6656, 585, 707, 2898, 1362, 563, 288, 1187, 4739, 2534, 547, 798, 609, 707, 1053, 547, 1711, 513, 1187, 5652, 2915, 563, 24552, 2404, 609, 14914, 538, 513, 2262, 3406, 602, 519, 1053, 666, 7990, 538, 950, 789, 723, 8737, 563, 288, 20036, 3556, 10959, 585, 1053, 547, 1711, 585, 2027, 14026, 563, 1607, 2296, 1770, 814, 1044, 2966, 547, 6338, 27564, 5931, 547, 7820, 1053, 269, 898, 9607, 519, 3483, 267, 2497, 543, 1893, 2934, 540, 5528, 543, 10346, 563, 1607, 18143, 7070, 1770, 7710, 875, 2713, 1919, 1332, 543, 1689, 269, 10960, 15556, 630, 10175, 3425, 264, 616, 3379, 609, 741, 3237, 543, 2371, 616, 6738, 689, 6079, 538, 1931, 547, 7747, 1689, 936, 513, 1974, 540, 4374, 563, 1607, 18143, 7070, 1770, 6227, 513, 2039, 540, 2035, 11341, 547, 2713, 1919, 267, 971, 607, 741, 5007, 2934, 543, 519, 4025, 538, 799, 741, 2115, 616, 1558, 563, 1607, 8447, 7070, 1770, 9607, 519, 2035, 540, 1769, 543, 3280, 543, 875, 789, 616, 2283, 539, 563, 1607, 9119, 1770, 9607, 519, 1523, 540, 7893, 267, 9236, 543, 19280, 4390, 1210, 13016, 4559, 563, 1607, 9119, 1770, 9607, 519, 1523, 540, 7893, 267, 9236, 543, 19280, 4320, 1210, 13016, 4559, 563, 24400, 707, 2197, 543, 1533, 2337, 721, 547, 1683, 596, 609, 519, 1034, 4143, 3450, 2200, 585, 707, 1053, 269, 0, 763, 2494, 538, 519, 11635, 631, 2532, 454, 2421, 22354, 516, 667, 30864, 454, 21812, 281, 3509, 20486, 476, 6977, 271, 454, 10831, 540, 3817, 281, 476, 276, 1691, 454, 288, 12357, 26956, 9849, 606, 4401, 9633, 1658, 8460, 2620, 1369, 519, 645, 770, 4068, 269, 667, 262, 9209, 1725, 534, 543, 519, 8422, 4053, 8208, 32580, 1265, 2933, 8126, 1194, 538, 513, 1357, 540, 26675, 950, 7080, 545, 687, 827, 519, 26956, 781, 3961, 2253, 547, 10836, 269, 634, 3803, 4053, 8208, 17621, 1650, 267, 1412, 763, 2494, 538, 519, 11635, 631, 2532, 262, 568, 513, 17680, 6137, 7045, 3209, 676, 835, 540, 519, 18544, 540, 519, 9135, 563, 12709, 2985, 29250, 454, 12606, 610, 1224, 621, 2228, 585, 1863, 1934, 912, 2421, 22354, 516, 667, 30864, 533, 699, 910, 5741, 717, 9790, 6199, 454, 763, 5869, 540, 713, 11509, 3209, 267, 3798, 12107, 667, 656, 525, 267, 568, 513, 1762, 13743, 528, 945, 568, 24407, 569, 15034, 543, 30992, 547, 1272, 26646, 538, 513, 3943, 6532, 28183, 269, 2991, 476, 1691, 1296, 267, 667, 656, 525, 2306, 513, 29412, 9101, 676, 2921, 519, 1747, 540, 513, 4666, 13959, 563, 2421, 22354, 516, 667, 30864, 910, 3509, 20486, 454, 10521, 5756, 723, 5293, 2094, 519, 1660, 8208, 32580, 2468, 2794, 1117, 936, 9315, 1400, 26548, 3559, 24586, 543, 6660, 8014, 269, 634, 9735, 9035, 540, 519, 8422, 4053, 8208, 32580, 3136, 910, 4358, 609, 606, 26675, 4478, 667, 262, 9209, 1725, 534, 945, 814, 267, 585, 8938, 1296, 267, 7283, 513, 9114, 23133, 563, 2421, 22354, 516, 667, 30864, 910, 717, 269, 30296, 454, 1607, 2110, 3209, 676, 22354, 516, 667, 30864, 729, 8385, 3370, 538, 476, 7277, 275, 269, 634, 15669, 540, 519, 1650, 568, 667, 30864, 5128, 269, 634, 1134, 2275, 2761, 539, 1650, 267, 18136, 5790, 267, 543, 23274, 1851, 519, 3197, 2488, 585, 513, 16990, 543, 993, 6748, 1224, 563, 2421, 22354, 516, 667, 30864, 910, 5741, 717, 9790, 6199, 454, 763, 1650, 5956, 609, 519, 476, 15757, 273, 561, 2106, 4221, 540, 519, 10656, 9835, 623, 3290, 776, 2977, 534, 632, 654, 8636, 543, 1010, 7015, 267, 676, 513, 3552, 4254, 540, 741, 1378, 2197, 5443, 269, 634, 4729, 1899, 3217, 1747, 538, 519, 1739, 3275, 282, 1152, 7930, 1281, 519, 5467, 1174, 782, 519, 3877, 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 ]
[ 1167, 8973, 610, 851, 532, 609, 22590, 267, 7488, 540, 741, 4890, 1871, 269, 901, 5012, 547, 13250, 540, 804, 13616, 602, 8332, 2478, 2713, 5624, 543, 7679, 31013, 609, 3232, 2238, 269, 1403, 713, 4992, 5432, 267, 2015, 5275, 3318, 948, 780, 273, 269, 13760, 519, 2640, 540, 17874, 513, 2790, 1072, 3318, 269, 28968, 899, 13931, 16895, 610, 24784, 666, 1683, 4879, 267, 5868, 267, 543, 2126, 585, 11876, 8973, 4524, 269, 1358, 4865, 6791, 538, 5042, 15515, 24173, 2553, 3358, 547, 2232, 11876, 8973, 5615, 267, 4555, 267, 543, 4664, 269, 4256, 5583, 666, 3648, 2087, 707, 2298, 540, 1272, 543, 3347, 780, 274, 269, 3194, 11727, 4648, 21751, 538, 11876, 8973, 4524, 269, 6733, 585, 2043, 945, 3180, 4143, 24501, 971, 607, 12854, 267, 700, 15425, 267, 715, 6195, 6224, 267, 8713, 5425, 267, 1851, 1866, 269, 6333, 32296, 2199, 2790, 1072, 3906, 267, 1489, 2516, 267, 610, 2228, 1463, 1559, 547, 1265, 5078, 10457, 269, 3958, 267, 2689, 7426, 262, 7270, 267, 16499, 517, 10118, 267, 543, 2923, 23079, 547, 15378, 17258, 543, 6791, 780, 275, 269, 16259, 585, 707, 3355, 15360, 269, 6969, 5870, 609, 513, 1761, 13309, 267, 29289, 513, 1592, 540, 4145, 267, 2055, 267, 543, 3853, 3823, 707, 11876, 8973, 2623, 269, 3629, 4977, 4282, 1344, 1282, 6981, 3029, 267, 12607, 3151, 2123, 3877, 2556, 547, 3715, 29037, 543, 7520, 2500, 6304, 2994, 269, 5457, 267, 9237, 2792, 5036, 519, 5748, 585, 3811, 3797, 4093, 780, 276, 269, 18918, 8362, 538, 3797, 7886, 269, 11622, 622, 5702, 609, 707, 6074, 2790, 1072, 8502, 2429, 519, 9354, 1184, 269, 9523, 4030, 267, 4606, 267, 543, 2591, 16175, 1247, 8026, 9241, 4121, 1983, 3544, 20499, 269, 3117, 11962, 4674, 1063, 7886, 10597, 3356, 2509, 6051, 780, 277, 269, 22982, 2963, 2861, 5574, 4481, 2966, 585, 11876, 8973, 4524, 269, 13229, 4485, 1331, 15465, 5174, 324, 24173, 10657, 630, 30274, 1070, 799, 6212, 593, 4101, 19450, 4978, 4478, 13613, 547, 3688, 282, 22452, 15863, 10644, 630, 2207, 303, 1070, 1141, 2043, 7930, 13720, 4160, 2404, 609, 1167, 8973, 3615, 282, 543, 24238, 15369, 3955, 6761, 267, 3450, 10343, 543, 1875, 268, 9080, 8540, 531, 4656, 540, 4555, 267, 4606, 267, 543, 17915, 5532, 547, 16565, 543, 20808, 28378, 780, 278, 269, 19372, 10853, 6788, 269, 18401, 3217, 942, 543, 9639, 269, 5590, 24276, 2110, 3856, 6859, 3056, 909, 547, 1279, 3856, 17050, 269, 18270, 908, 31278, 18454, 11942, 8404, 543, 1582, 30797, 780, 279, 269, 18554, 3356, 5781, 269, 11270, 1227, 2708, 9283, 1210, 3964, 7355, 5941, 609, 707, 3714, 6509, 269, 7046, 569, 1865, 22303, 543, 2127, 8506, 2417, 3007, 269, 17434, 6268, 5849, 11941, 5447, 609, 9687, 2115, 780, 280, 269, 12706, 513, 11215, 3060, 269, 2037, 4289, 2828, 267, 1920, 2818, 267, 610, 9263, 15156, 547, 2709, 19015, 2059, 519, 3460, 269, 19457, 2833, 5252, 919, 1620, 267, 6568, 267, 543, 6043, 780, 1015, 269, 7457, 3606, 2200, 950, 2877, 269, 13693, 2835, 267, 11925, 267, 610, 2228, 5867, 5356, 24045, 1702, 543, 2645, 5885, 6051, 3646, 269, 26157, 1585, 2409, 25040, 1565, 543, 8992, 9434, 1689, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 7021, 519, 1985, 1906, 3275, 267, 649, 786, 581, 5967, 532, 4648, 945, 960, 609, 519, 11876, 8973, 2551, 269, 1284, 616, 6998, 873, 547, 2671, 741, 5813, 593, 1004, 945, 11876, 731, 543, 1004, 945, 1589, 789, 723, 519, 11876, 8973, 4524, 563, 2171, 5063, 26906, 3220, 269, 23894, 344, 19468, 517, 269, 23894, 344, 568, 513, 13397, 10234, 5369, 6048, 630, 15771, 6185, 264, 609, 936, 476, 1839, 1296, 540, 4791, 1995, 269, 2701, 568, 849, 513, 13397, 10234, 12333, 21835, 528, 630, 10861, 290, 1070, 513, 13780, 958, 8274, 26133, 21835, 528, 630, 301, 6195, 6224, 264, 29533, 267, 513, 26133, 12333, 21835, 832, 8111, 9679, 630, 9573, 5425, 1070, 543, 519, 13653, 543, 4791, 8689, 540, 634, 17520, 1299, 13262, 5004, 4659, 267, 4092, 538, 24611, 267, 11908, 269, 2701, 729, 519, 8156, 18673, 593, 936, 476, 2568, 14501, 540, 570, 9448, 779, 2442, 3126, 968, 295, 334, 8973, 281, 8738, 1221, 1325, 633, 1848, 23894, 344, 729, 849, 593, 6153, 27450, 3013, 267, 634, 18722, 23101, 8058, 267, 23711, 10361, 1467, 5240, 1299, 4634, 532, 18124, 267, 543, 519, 631, 1229, 603, 966, 773, 4275, 8058, 563, 4415, 782, 602, 2469, 593, 267, 835, 540, 1200, 5172, 1919, 568, 8384, 513, 3141, 23438, 563, 26524, 543, 13786, 525, 912, 7712, 519, 32663, 268, 276, 729, 3370, 267, 723, 596, 546, 807, 3010, 13914, 540, 513, 2140, 585, 513, 14392, 2376, 1369, 519, 6389, 540, 834, 306, 23852, 29803, 1315, 3281, 14601, 10263, 1315, 14208, 8973, 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, 4495, 2390, 513, 942, 267, 2185, 2828, 3957, 15207, 519, 32202, 18857, 267, 22123, 519, 8293, 597, 7758, 267, 18581, 519, 16819, 267, 543, 30751, 519, 13928, 5030, 2282, 930, 8748, 15882, 538, 5507, 267, 4789, 269, 1358, 6068, 1565, 827, 519, 1158, 1472, 873, 256, 2290, 1554, 267, 789, 4956, 547, 979, 593, 606, 7045, 547, 1451, 827, 519, 3703, 21257, 780, 5575, 267, 789, 10272, 519, 18975, 540, 5507, 1141, 789, 4718, 519, 10875, 22477, 4035, 1564, 269, 834, 32452, 2437, 608, 13094, 18581, 267, 834, 28205, 19987, 8141, 548, 899, 6801, 10590, 11427, 269, 26449, 267, 741, 8797, 3391, 267, 6045, 875, 1769, 25998, 609, 1114, 2326, 267, 1818, 519, 9925, 1564, 19542, 865, 29116, 269, 2701, 4951, 873, 875, 7943, 9356, 1055, 519, 5347, 2627, 540, 519, 10007, 543, 18195, 338, 3330, 267, 2870, 4190, 4764, 28647, 780, 9202, 267, 789, 4682, 547, 519, 3703, 7467, 543, 14952, 539, 693, 519, 3504, 14472, 24297, 12942, 269, 1306, 789, 8947, 621, 5702, 267, 30751, 4280, 267, 834, 3963, 1281, 713, 6149, 1413, 865, 2027, 8119, 6004, 269, 16737, 267, 1776, 18164, 3391, 267, 5143, 873, 827, 9246, 30735, 923, 1107, 6698, 1031, 676, 1004, 1279, 3516, 547, 5968, 1354, 2854, 1893, 11478, 269, 1261, 849, 5941, 875, 4654, 11457, 936, 942, 543, 3838, 4241, 2984, 3297, 1142, 3090, 780, 4263, 519, 2817, 5800, 11681, 20155, 267, 519, 2828, 25343, 519, 10367, 540, 15438, 543, 30842, 269, 2755, 3168, 693, 10348, 10906, 594, 781, 17855, 267, 15207, 9289, 16965, 267, 834, 1692, 1705, 5159, 1118, 891, 4778, 1394, 1287, 8119, 15516, 269, 670, 732, 267, 2943, 1776, 2186, 3391, 267, 5189, 873, 547, 3119, 4778, 543, 2681, 3069, 267, 6029, 1806, 540, 11544, 19267, 547, 1711, 1585, 18707, 2938, 538, 519, 11247, 780, 5445, 4797, 741, 3460, 547, 519, 15117, 543, 15751, 7467, 267, 1141, 789, 4362, 27610, 10424, 23157, 1500, 609, 6946, 30927, 269, 22123, 20402, 267, 834, 1432, 2306, 1346, 16060, 3180, 1927, 865, 28426, 8119, 1677, 2626, 1200, 13214, 267, 6004, 269, 31594, 19286, 730, 519, 3601, 540, 11103, 267, 22805, 2553, 267, 543, 875, 2067, 24470, 5795, 7524, 24698, 547, 17234, 12816, 676, 519, 16918, 2818, 540, 2486, 780, 7661, 267, 789, 8452, 693, 23836, 21207, 532, 5069, 20066, 269, 4438, 741, 3643, 267, 789, 4767, 4657, 540, 519, 22651, 16008, 269, 22582, 267, 9624, 782, 10178, 11071, 267, 1945, 6397, 5949, 269, 589, 9856, 12628, 1010, 29461, 1247, 15292, 532, 256, 898, 729, 606, 8966, 8289, 267, 6028, 3025, 14281, 269, 2991, 23232, 689, 3355, 8710, 267, 18581, 1660, 539, 267, 834, 10214, 1498, 646, 1500, 513, 12161, 267, 621, 4769, 1405, 3247, 1864, 689, 11173, 3010, 300, 3464, 269, 26449, 20493, 543, 1767, 267, 834, 8133, 267, 15210, 18581, 267, 9073, 616, 851, 540, 1565, 269, 769, 1249, 267, 3744, 2161, 602, 952, 596, 5749, 1405, 1818, 1022, 6959, 267, 596, 4440, 5749, 1405, 3843, 2182, 2614, 610, 3695, 1007, 2093, 269, 1924, 1832, 6998, 2055, 267, 2611, 8049, 267, 543, 9784, 707, 1025, 1495, 619, 607, 3255, 547, 1332, 5923, 518, 1701, 1656, 3976, 8694, 938, 2828, 262, 24084, 2287, 3408, 540, 2257, 543, 3703, 21257, 538, 5507, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 2108, 7617, 15882, 538, 5507, 267, 4789, 723, 15225, 593, 3703, 21257, 888, 2467, 616, 1896, 15882, 538, 5507, 602, 723, 15225, 593, 3703, 21257, 267, 1519, 1384, 272, 269, 634, 18975, 540, 5507, 910, 901, 8978, 28183, 2934, 519, 22477, 4035, 1564, 267, 607, 1134, 607, 15225, 593, 519, 1686, 540, 519, 21257, 780, 273, 269, 634, 3703, 7467, 910, 634, 9754, 814, 513, 4015, 540, 3615, 1644, 547, 3703, 887, 344, 1023, 267, 1519, 519, 14472, 24297, 12942, 543, 519, 4432, 6265, 3057, 7632, 267, 799, 941, 2899, 851, 540, 519, 3487, 1156, 517, 11454, 780, 274, 269, 634, 2817, 5800, 11681, 20155, 910, 901, 9754, 814, 513, 4015, 540, 23609, 540, 3703, 16313, 338, 543, 824, 8037, 5515, 2429, 1686, 780, 275, 269, 634, 15117, 543, 15751, 7467, 910, 634, 9754, 814, 513, 4015, 540, 1148, 543, 13742, 1644, 547, 3703, 16313, 338, 267, 1519, 11647, 267, 14446, 267, 543, 7802, 780, 276, 269, 21207, 532, 5069, 20066, 910, 634, 4013, 15335, 540, 519, 3703, 16313, 814, 1896, 1857, 2127, 267, 1519, 519, 3557, 10162, 1682, 267, 602, 616, 1930, 547, 8436, 1282, 519, 4832, 3275, 14325, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 563, 268, 16992, 543, 5188, 281, 1711, 12300, 3197, 945, 4497, 538, 6209, 7391, 267, 4543, 547, 2491, 543, 2263, 519, 2257, 2035, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 269, 0, 4495, 972, 941, 1079, 8049, 2370, 5022, 267, 670, 543, 661, 267, 945, 5030, 3330, 519, 1158, 540, 1072, 543, 9716, 269, 1358, 6068, 3695, 741, 10450, 543, 5870, 782, 519, 824, 5022, 945, 5030, 972, 1932, 269, 2290, 1554, 789, 4956, 547, 979, 593, 606, 7045, 547, 1265, 856, 1018, 2262, 789, 1223, 1118, 1927, 602, 6719, 513, 2635, 6197, 780, 2026, 789, 3460, 539, 998, 519, 2244, 267, 789, 1558, 519, 5022, 700, 267, 570, 267, 589, 267, 715, 267, 590, 267, 654, 267, 594, 267, 543, 595, 269, 2060, 891, 1007, 2828, 267, 789, 3323, 8108, 1114, 1913, 543, 6998, 519, 8797, 3220, 269, 5616, 585, 8847, 543, 10096, 269, 1809, 1945, 729, 7508, 1107, 519, 1913, 4769, 1405, 3100, 547, 7001, 519, 9759, 540, 2713, 513, 5963, 2635, 1272, 780, 7661, 267, 1310, 1454, 4901, 543, 17634, 267, 938, 5722, 5022, 4362, 519, 3501, 4999, 910, 834, 14684, 17920, 8582, 1701, 898, 5921, 834, 1729, 1847, 1426, 610, 4235, 689, 519, 5023, 547, 519, 7181, 676, 24948, 2437, 799, 9985, 4330, 875, 1271, 4189, 1318, 729, 585, 2348, 513, 2635, 1560, 256, 1677, 2327, 1100, 824, 2262, 1131, 10726, 922, 6041, 540, 1072, 1465, 267, 789, 7229, 513, 2657, 1465, 24143, 1759, 593, 519, 4908, 540, 1142, 4484, 17729, 538, 1585, 2635, 2474, 780, 3719, 1287, 3357, 519, 6397, 6335, 281, 950, 9236, 741, 6060, 1996, 1866, 3299, 4210, 9994, 7012, 1405, 519, 5207, 6060, 337, 256, 6271, 2262, 1185, 20546, 539, 873, 269, 2334, 2262, 729, 834, 310, 21822, 26614, 2668, 6736, 1373, 7620, 25922, 267, 670, 543, 661, 7691, 602, 3006, 2324, 1927, 4547, 3152, 12587, 982, 12721, 4805, 269, 1656, 865, 267, 519, 3020, 5048, 2968, 2312, 1107, 16542, 543, 5698, 1291 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 28416, 267, 513, 4633, 16267, 267, 513, 31092, 267, 513, 17513, 3613, 574, 15975, 267, 543, 19650, 14249, 269, 14675, 6394, 3842, 519, 5007, 28416, 568, 9268, 543, 10299, 5911, 8393, 2066, 519, 2960, 547, 519, 4835, 3334, 269, 4495, 3330, 519, 6418, 1274, 267, 5122, 6786, 616, 19501, 998, 22809, 2059, 519, 3259, 540, 519, 31882, 548, 320, 267, 6038, 1437, 908, 519, 17391, 8229, 11103, 269, 1452, 25372, 1287, 2951, 547, 519, 2634, 1141, 789, 616, 14648, 607, 3280, 269, 2060, 971, 1950, 10342, 267, 621, 3587, 7805, 602, 8939, 3617, 2326, 543, 8888, 6325, 17103, 1063, 891, 3334, 568, 2629, 585, 3811, 4093, 780, 18693, 558, 1468, 19139, 281, 10281, 32611, 777, 520, 924, 607, 513, 8865, 5530, 692, 22134, 32611, 777, 520, 924, 630, 11190, 1070, 513, 6923, 9648, 7513, 19552, 7777, 1336, 538, 5642, 543, 4522, 267, 814, 21959, 1229, 3007, 1369, 519, 2564, 3926, 2146, 1813, 547, 922, 5140, 1979, 24899, 6312, 2225, 543, 11560, 665, 13503, 633, 3601, 269, 1306, 23576, 538, 519, 1382, 2376, 21626, 3177, 267, 22743, 814, 1044, 6964, 607, 513, 21910, 532, 1570, 538, 5959, 23361, 971, 607, 18980, 6989, 6173, 725, 269, 1717, 267, 922, 1761, 3156, 8831, 3564, 25185, 267, 1818, 621, 606, 10694, 4781, 585, 9647, 31517, 543, 22623, 1470, 325, 18432, 18032, 780, 2691, 6236, 519, 946, 540, 22743, 538, 31882, 3598, 15498, 6272, 267, 2789, 2188, 1590, 581, 3144, 883, 2272, 269, 17616, 267, 7344, 17356, 568, 1898, 282, 23679, 267, 519, 13412, 29870, 540, 519, 5579, 5896, 1570, 1058, 5702, 6474, 602, 540, 5065, 5160, 547, 7413, 2566, 31364, 2360, 543, 3895, 1279, 3856, 5610, 269, 19627, 267, 6211, 4205, 1404, 513, 2565, 1909, 538, 8159, 519, 1967, 540, 606, 15498, 269, 1280, 3236, 267, 7252, 6198, 1242, 609, 22743, 666, 7520, 15259, 572, 2002, 1122, 1674, 1107, 519, 1463, 7293, 543, 6198, 4276, 1063, 2713, 5642, 543, 519, 2627, 540, 606, 15498, 269, 24046, 15259, 572, 2002, 1122, 1674, 949, 3565, 547, 4824, 15498, 6617, 543, 4389, 1981, 540, 3968, 610, 16312, 4288, 780, 4910, 28585, 22039, 5811, 630, 305, 11902, 2567, 16424, 1955, 8690, 853, 1464, 2372, 582, 1304, 630, 3041, 304, 2020, 2026, 12006, 538, 519, 1382, 2376, 267, 10442, 15498, 6617, 568, 14063, 585, 17782, 4791, 4093, 543, 4180, 1697, 8647, 540, 3457, 899, 31882, 3598, 18032, 269, 2290, 1505, 1031, 547, 2708, 6617, 3322, 1763, 28585, 22039, 5811, 630, 305, 11902, 1070, 799, 3800, 519, 1955, 8690, 853, 1464, 2372, 582, 1304, 630, 3041, 304, 264, 910, 513, 10230, 1871, 8151, 689, 476, 271, 547, 476, 1911, 10834, 3119, 543, 6281, 15498, 6617, 269, 1635, 7900, 681, 11902, 693, 1585, 942, 2798, 2429, 519, 7067, 1184, 267, 23262, 666, 3950, 2242, 538, 4959, 304, 2418, 543, 1118, 5483, 3664, 3823, 15205, 10873, 543, 3461, 2359, 780, 1103, 519, 2796, 540, 31882, 3598, 18032, 267, 4509, 7850, 15498, 6617, 568, 4105, 585, 6099, 2773, 543, 15325, 269, 11790, 12018, 4959, 304, 2418, 1331, 10551, 4480, 267, 15498, 9511, 267, 543, 3984, 3135, 4162, 269, 3958, 267, 519, 3903, 540, 8790, 1468, 4249, 513, 8101, 1909, 538, 9598, 908, 3355, 543, 1279, 3856, 6617, 269, 1306, 4767, 538, 519, 1353, 5018, 4505, 267, 1114, 2010, 540, 18038, 344, 777, 520, 2572, 630, 321, 984, 710, 5288, 269, 11188, 322, 710, 264, 17820, 8795, 2157, 540, 4959, 304, 1282, 519, 7067, 5123, 1739, 18980, 6989, 15038, 5773, 269, 4197, 891, 16082, 2636, 3173, 543, 19353, 547, 20688, 15498, 6272, 543, 2824, 2326, 1655, 14018, 585, 1808, 3156, 780, 14483, 12367, 543, 8892, 19648, 692, 13146, 7760, 538, 19605, 5663, 4066, 723, 8118, 1007, 18817, 585, 2123, 1944, 31882, 3598, 15498, 6272, 1759, 593, 1367, 3461, 2115, 269, 11426, 1242, 18032, 2709, 3875, 5383, 267, 1519, 1732, 3514, 267, 4824, 15259, 572, 2002, 1122, 1674, 267, 543, 5732, 8476, 6198, 4093, 269, 5015, 267, 6220, 6915, 5562, 6675, 610, 6289, 739, 19099, 23541, 5196, 15498, 7252, 6799, 1776, 9621, 4640, 585, 5009, 5160, 20344, 543, 4227, 8374, 2404, 609, 4914, 1560, 6547, 780, 1103, 3932, 267, 519, 1646, 540, 31882, 3598, 18032, 4564, 513, 7415, 9740, 538, 19620, 6217, 1599, 585, 9118, 2043, 5001, 269, 8033, 4240, 3356, 12346, 8185, 593, 938, 2702, 547, 13217, 15498, 6272, 267, 11126, 8790, 1468, 15885, 267, 543, 2936, 7347, 5464, 2553, 269, 3414, 23499, 21769, 5473, 8030, 267, 2326, 3744, 267, 543, 19353, 267, 649, 666, 18783, 3078, 23484, 538, 713, 6385, 9687, 2361, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2752, 12087, 4041, 1923, 8222, 281, 1015, 269, 20385, 4510, 270, 2181, 21646, 1001, 3583, 277, 269, 1822, 275, 18192, 272, 454, 20428, 281, 11061, 1656, 10049, 3163, 267, 29119, 17467, 27511, 281, 18038, 344, 777, 520, 924, 267, 30542, 690, 2761, 338, 282, 15498, 1374, 282, 15498, 2627, 454, 15697, 281, 476, 272, 4873, 476, 1001, 278, 630, 6187, 281, 866, 281, 6078, 595, 12239, 994, 763, 2832, 540, 519, 1459, 1353, 729, 547, 6895, 15498, 6617, 1310, 18980, 6989, 15038, 609, 1079, 8790, 17467, 1282, 519, 1101, 476, 277, 3275, 540, 7067, 676, 513, 16982, 4908, 2079, 630, 305, 11902, 1070, 543, 875, 1610, 4815, 2275, 8707, 3601, 1860, 519, 15498, 6617, 23479, 630, 3041, 304, 264, 693, 519, 13307, 543, 7067, 4609, 269, 645, 10561, 3193, 16736, 18980, 11160, 7695, 729, 5340, 538, 476, 1015, 2550, 538, 513, 8237, 2173, 1926, 1374, 1210, 513, 27342, 710, 22743, 630, 289, 13696, 264, 607, 513, 1852, 543, 11188, 322, 710, 22743, 630, 303, 13696, 1040, 14520, 3275, 1310, 18980, 17666, 267, 476, 2568, 18032, 941, 5116, 538, 519, 17911, 3193, 8759, 269, 634, 4959, 304, 729, 6592, 593, 519, 1554, 540, 6391, 689, 681, 11902, 693, 570, 272, 630, 21353, 5202, 1070, 570, 273, 630, 274, 3275, 1070, 543, 570, 274, 630, 277, 3275, 1040, 6465, 12264, 1713, 3604, 941, 1336, 538, 519, 4959, 304, 2418, 1282, 519, 6268, 1974, 269, 634, 4959, 304, 630, 21353, 5202, 264, 729, 476, 8287, 269, 279, 22144, 273, 269, 9032, 585, 645, 13696, 543, 476, 7830, 269, 277, 22144, 273, 907, 5016, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 290, 5255, 3598, 1955, 17852, 257, 607, 851, 540, 834, 25503, 1315, 17889, 1315, 17305, 565, 28640, 1108, 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, 17138, 281, 1215, 547, 12433, 20607, 10025, 543, 7351, 962, 1752, 692, 289, 4637, 616, 1898, 2883, 7405, 1031, 676, 2043, 267, 4213, 267, 543, 6608, 547, 6318, 3854, 269, 1879, 10115, 538, 7554, 267, 1620, 741, 1871, 543, 6556, 568, 2629, 269, 901, 5850, 786, 3391, 596, 998, 12719, 6125, 2418, 543, 1699, 11729, 1900, 8386, 9912, 780, 2162, 5153, 476, 272, 281, 13760, 9978, 12910, 11659, 692, 6524, 11362, 883, 9273, 267, 24559, 3054, 609, 891, 2474, 1384, 265, 2878, 293, 864, 10025, 630, 293, 309, 264, 610, 3474, 10025, 4995, 634, 2179, 540, 2724, 513, 10210, 518, 23216, 547, 2628, 1394, 693, 15657, 563, 265, 2878, 290, 19281, 517, 15580, 630, 290, 8472, 4995, 634, 1719, 2557, 7150, 593, 519, 3068, 540, 519, 6125, 267, 6829, 607, 513, 6871, 269, 898, 781, 2356, 6378, 2429, 519, 6125, 2165, 563, 265, 2878, 300, 4405, 640, 11261, 630, 307, 264, 4995, 634, 4266, 950, 519, 1615, 21838, 814, 547, 23231, 519, 3068, 1871, 563, 265, 2878, 14483, 10369, 12313, 630, 303, 264, 4995, 634, 3902, 602, 18046, 616, 8348, 547, 2628, 585, 519, 6125, 538, 519, 2344, 2221, 563, 265, 2878, 290, 19281, 517, 32237, 630, 296, 264, 4995, 634, 2834, 1719, 8569, 1500, 676, 519, 1615, 21838, 267, 7229, 607, 674, 309, 1535, 595, 260, 1315, 476, 1911, 563, 265, 2878, 312, 8986, 547, 4223, 12053, 630, 339, 264, 4995, 5384, 2451, 2394, 519, 15657, 4266, 267, 3335, 4843, 538, 1296, 610, 8454, 23476, 780, 2162, 5153, 476, 273, 281, 14419, 8131, 10025, 630, 293, 309, 2020, 763, 1101, 4062, 540, 1344, 2877, 568, 519, 6125, 781, 3068, 1871, 269, 1411, 666, 1265, 713, 4137, 593, 519, 6125, 15149, 3294, 610, 689, 707, 30549, 269, 1280, 1383, 267, 952, 596, 1378, 513, 1269, 272, 267, 1822, 6125, 267, 1287, 674, 309, 815, 1269, 272, 267, 1822, 780, 2162, 5153, 476, 274, 281, 10576, 595, 19281, 517, 15580, 630, 290, 260, 2020, 9202, 267, 2697, 519, 19420, 517, 2557, 2404, 609, 519, 6125, 269, 6145, 519, 3068, 1871, 267, 596, 666, 3489, 713, 1239, 689, 519, 6125, 12319, 610, 707, 5092, 3760, 269, 14597, 938, 3732, 6125, 17188, 606, 5993, 1719, 2557, 540, 476, 276, 9077, 865, 595, 260, 815, 476, 276, 260, 780, 2162, 5153, 476, 275, 281, 1306, 322, 1643, 4223, 12053, 11261, 630, 307, 2020, 8340, 856, 950, 519, 6125, 1319, 999, 269, 18833, 519, 6967, 942, 2394, 15657, 2636, 721, 547, 5173, 519, 1297, 540, 5712, 630, 344, 8986, 610, 13980, 540, 513, 1032, 1040, 2913, 781, 8263, 938, 3087, 894, 6125, 1319, 999, 1310, 2947, 1296, 282, 8754, 570, 815, 476, 276, 780, 2162, 5153, 476, 276, 281, 19372, 13012, 547, 4223, 12053, 630, 339, 2020, 29991, 519, 27847, 851, 540, 513, 1032, 952, 2556, 269, 1403, 1447, 982, 3670, 3275, 2611, 2394, 519, 1985, 19420, 517, 8569, 267, 1305, 512, 3160, 547, 476, 272, 14370, 15893, 540, 11033, 829, 1032, 5148, 6382, 267, 1305, 512, 3160, 547, 630, 307, 910, 1459, 4266, 19422, 15893, 540, 11033, 829, 1032, 1040, 32114, 10859, 268, 2335, 783, 11033, 267, 2094, 3368, 513, 1032, 18387, 1405, 5293, 2943, 267, 649, 723, 512, 815, 476, 271, 269, 276, 780, 2162, 5153, 476, 277, 281, 30770, 595, 19281, 517, 9796, 906, 630, 296, 2020, 8794, 519, 1634, 4632, 1657, 267, 12337, 519, 13350, 19420, 517, 8569, 1210, 594, 815, 674, 309, 1535, 595, 260, 1315, 476, 1911, 1315, 630, 15893, 540, 11033, 829, 1032, 1040, 3371, 267, 14322, 7466, 4458, 569, 1719, 11033, 267, 594, 815, 1269, 272, 267, 1822, 1535, 476, 276, 260, 1315, 476, 1911, 1315, 476, 273, 815, 1269, 1839, 780, 2162, 5153, 476, 278, 281, 5136, 1555, 7351, 10369, 12313, 630, 303, 2020, 7476, 519, 1699, 2344, 3902, 540, 519, 6125, 2901, 689, 707, 14769, 3948, 610, 2307, 707, 30549, 269, 1284, 3513, 8263, 519, 1699, 2344, 3902, 568, 1269, 280, 3199, 269, 1924, 623, 815, 1269, 280, 3199, 780, 2162, 5153, 476, 279, 281, 15233, 519, 16754, 585, 20607, 966, 2728, 566, 692, 3086, 649, 666, 5173, 519, 6125, 781, 1871, 1210, 519, 4542, 645, 309, 815, 1496, 296, 1535, 16733, 272, 1341, 678, 8203, 660, 910, 476, 272, 13580, 1315, 678, 1341, 1496, 293, 309, 1315, 630, 272, 1341, 678, 8203, 333, 3910, 1141, 645, 309, 6763, 585, 20607, 10025, 267, 562, 11224, 519, 2698, 1297, 540, 5712, 2394, 15657, 267, 543, 678, 4564, 519, 10958, 2557, 269, 5494, 870, 2557, 9356, 519, 20090, 781, 2838, 2132, 1759, 593, 1981, 4879, 269, 4635, 938, 2016, 1239, 267, 1577, 781, 2161, 562, 284, 276, 630, 21459, 1296, 1070, 678, 284, 271, 269, 4962, 630, 320, 476, 276, 260, 5993, 6556, 1070, 543, 7311, 5033, 1014, 333, 783, 7623, 532, 267, 562, 3587, 476, 1015, 269, 623, 1663, 21794, 782, 5515, 883, 519, 4542, 3947, 721, 1384, 29669, 815, 1496, 259, 1839, 1535, 16733, 272, 1341, 476, 271, 269, 4962, 270, 273, 8203, 1015, 910, 476, 272, 13580, 1315, 630, 271, 269, 4962, 270, 273, 264, 1341, 18121, 272, 267, 1822, 1315, 630, 272, 1341, 476, 271, 269, 4962, 270, 273, 8203, 1015, 994, 29669, 815, 1269, 4366, 272, 269, 1839, 1341, 1269, 277, 1240, 269, 4037, 454, 29669, 815, 1269, 272, 267, 1911, 692, 3383, 267, 519, 7229, 6125, 1871, 568, 5111, 1269, 272, 267, 1911, 780, 2162, 5153, 476, 280, 281, 14216, 633, 7351, 962, 1752, 692, 15563, 267, 3313, 519, 1699, 6556, 609, 519, 1739, 3830, 281, 595, 312, 815 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 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, 4197, 7756, 27639, 3414, 3203, 692, 8893, 476, 272, 281, 1323, 4985, 547, 3203, 543, 9177, 692, 5970, 596, 2479, 2219, 827, 875, 1148, 666, 948, 721, 1174, 1114, 4529, 286, 3203, 568, 513, 3532, 1907, 602, 9356, 519, 2418, 267, 4978, 267, 543, 2833, 540, 1004, 689, 1585, 10080, 269, 1635, 4974, 1148, 267, 649, 666, 1451, 811, 827, 519, 1158, 1472, 721, 543, 5660, 519, 4763, 540, 1480, 4082, 780, 4131, 781, 1491, 513, 1413, 693, 1079, 1148, 15225, 602, 5031, 519, 2956, 540, 2528, 538, 7499, 4082, 780, 2750, 3031, 527, 476, 272, 281, 834, 15152, 3733, 16164, 910, 20551, 10812, 17813, 538, 519, 476, 2641, 560, 11416, 5016, 1607, 8858, 2934, 960, 689, 476, 2767, 16805, 5159, 945, 2263, 5198, 543, 3961, 538, 741, 11247, 269, 3962, 7376, 6770, 741, 2189, 5133, 593, 1018, 621, 1797, 547, 581, 851, 540, 513, 1880, 7292, 610, 6803, 1895, 538, 519, 476, 2641, 560, 2540, 269, 1280, 1383, 267, 835, 7376, 1522, 1711, 513, 7206, 602, 2982, 875, 789, 1745, 607, 513, 4759, 540, 513, 1978, 2146, 267, 1247, 1776, 7376, 1522, 946, 17001, 547, 2769, 741, 4555, 593, 10168, 543, 7130, 780, 3080, 4277, 2460, 540, 713, 8858, 568, 602, 1142, 4062, 540, 1148, 6645, 513, 1650, 827, 519, 7376, 781, 2123, 1995, 609, 5198, 543, 3961, 269, 1635, 3168, 693, 891, 4773, 267, 649, 666, 2744, 5813, 883, 1018, 1272, 568, 899, 585, 2576, 945, 949, 2097, 689, 513, 1360, 1114, 4282, 982, 938, 1378, 269, 901, 1620, 666, 948, 1628, 6568, 543, 8296, 1063, 1004, 540, 1114, 14797, 543, 4529, 780, 2750, 3031, 527, 476, 273, 281, 834, 3674, 600, 340, 715, 690, 1276, 328, 281, 1284, 3657, 519, 23721, 540, 2353, 1284, 5700, 5016, 763, 2034, 8858, 6212, 593, 519, 960, 540, 5545, 1977, 7376, 1772, 600, 340, 715, 690, 1276, 328, 269, 715, 690, 1276, 328, 729, 1634, 585, 1010, 7493, 18810, 267, 799, 1419, 12286, 5214, 5546, 6273, 676, 2470, 269, 3509, 540, 1010, 1568, 616, 1500, 689, 2326, 971, 607, 6149, 267, 3574, 267, 543, 4496, 267, 4758, 873, 513, 2067, 543, 15851, 2298, 780, 301, 690, 1276, 328, 5156, 602, 1148, 1058, 581, 7471, 883, 4948, 1272, 267, 865, 646, 2966, 11647, 267, 10651, 267, 543, 1857, 5624, 538, 1840, 547, 2757, 18810, 269, 3571, 960, 1419, 7710, 4798, 540, 9322, 543, 10103, 267, 10452, 1010, 3661, 602, 782, 1919, 616, 4448, 780, 3528, 4974, 715, 690, 1276, 328, 781, 1148, 267, 649, 666, 1451, 811, 827, 5545, 2528, 543, 15312, 267, 607, 1134, 607, 519, 2833, 540, 5545, 4892, 1282, 519, 476, 736, 628, 2540, 780, 12244, 281, 12861, 2659, 13574, 8836, 3203, 1740, 692, 3086, 621, 781, 707, 2490, 256, 6056, 827, 513, 2686, 2245, 610, 1995, 602, 568, 1271, 547, 596, 269, 898, 1223, 581, 1945, 1644, 547, 707, 1920, 6561, 267, 513, 9702, 11812, 267, 610, 1256, 513, 5172, 1426, 269, 2422, 713, 2856, 547, 1711, 513, 4062, 540, 1148, 602, 4564, 707, 4276, 547, 713, 2245, 269, 1411, 1223, 2721, 513, 4605, 267, 2328, 513, 6648, 267, 610, 1711, 513, 17001, 856, 540, 10036, 269, 2142, 3860, 543, 723, 1187, 2439, 5629, 3025, 538, 519, 1362, 814, 8737, 741, 11247, 267, 1491, 930, 942, 547, 2671, 707, 13144, 609, 1142, 824, 269, 9181, 1946, 596, 8359, 707, 1808, 6249, 543, 1018, 621, 1797, 547, 596, 269, 1635, 4687, 707, 2984, 267, 596, 786, 711, 1152, 15052, 707, 1378, 7071, 585, 707, 2528, 855, 849, 948, 1866, 1174, 543, 2463, 3309, 5389, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2108, 15152, 3733, 16164, 1107, 20551, 10812, 17813, 538, 519, 476, 2641, 560, 11416, 892, 568, 1631, 693, 519, 30733, 269, 4518, 729, 5697, 689, 476, 2767, 5159, 1310, 3275, 540, 5717, 543, 13156, 269, 20551, 538, 713, 1397, 1331, 3627, 28226, 267, 808, 10154, 1306, 600, 578, 267, 654, 7701, 5484, 1597, 583, 16210, 267, 808, 11047, 710, 9466, 267, 918, 4331, 14863, 3118, 267, 3687, 327, 2961, 878, 334, 267, 19748, 3241, 4077, 2917, 267, 700, 532, 932, 684, 267, 2904, 595, 1601, 267, 2961, 2088, 1642, 14472, 9222, 267, 570, 520, 10005, 717, 1301, 754, 807, 267, 8210, 514, 2637, 807, 267, 30370, 8065, 267, 932, 879, 13535, 2106, 327, 267, 13019, 27323, 12722, 267, 23718, 918, 2088, 267, 715, 2727, 320, 8899, 324, 267, 674, 26619, 631, 1846, 636, 9369, 267, 22186, 22220, 5062, 295, 7676, 267, 667, 23581, 31513, 267, 595, 23167, 715, 7666, 344, 523, 267, 2717, 569, 8830, 6665, 267, 26391, 8055, 267, 9478, 14576, 1723, 543, 7033, 853, 839, 1633, 269, 2201, 2070, 11489, 8734, 269, 476, 1704, 267, 476, 1001, 274, 563, 2108, 3674, 600, 340, 715, 690, 1276, 328, 281, 1284, 3657, 519, 23721, 540, 2353, 1284, 5700, 892, 568, 606, 8858, 540, 476, 2420, 1568, 676, 519, 28601, 9380, 528, 2813, 538, 519, 3735, 268, 3707, 271, 779, 547, 519, 4571, 268, 2735, 271, 779, 269, 2201, 10211, 689, 519, 1772, 600, 340, 715, 690, 1276, 328, 7690, 543, 12567, 7467, 269, 2201, 2070, 998, 5147, 476, 2641, 693, 24144, 5545, 12567, 693, 476, 277, 1556, 17335, 3751, 8725, 589, 557, 269, 630, 2004, 274, 264, 476, 23417, 268, 15171, 272, 610, 3643, 8940, 12459, 3253, 525, 1122, 31678, 2593, 563, 288, 889, 1248, 19829, 15535, 23846, 814, 16823, 268, 2017, 730, 513, 1397, 13886, 968, 25712, 295, 2177, 270, 23354, 1107, 5545, 670, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8139, 519, 8534, 10369, 543, 5843, 31754, 630, 10932, 7433, 12726, 994, 10932, 593, 8534, 2344, 543, 5843, 31754, 282, 9085, 2689, 543, 5717, 1830, 10756, 299, 1987, 2344, 543, 5843, 31754, 454, 6097, 547, 3105, 12170, 2090, 676, 15182, 14551, 339, 630, 1001, 279, 1070, 2899, 1164, 1153, 1053, 10927, 610, 1256, 4359, 2069, 267, 2356, 267, 2852, 2069, 543, 22692, 568, 519, 10862, 602, 9598, 919, 741, 11678, 610, 3924, 269, 15380, 267, 519, 2069, 4876, 13120, 267, 519, 811, 519, 960, 621, 17188, 269, 11048, 267, 519, 4990, 540, 960, 20021, 607, 18944, 786, 2141, 1291, 547, 8795, 23269, 1759, 593, 741, 13821, 543, 16919, 269, 769, 2221, 781, 1158, 267, 1498, 267, 513, 1134, 1790, 4660, 4876, 568, 1869, 15164, 1510, 513, 6280, 4110, 269, 1280, 3236, 267, 519, 18294, 602, 594, 993, 4867, 2324, 609, 814, 513, 851, 6066, 24539, 10325, 269, 21278, 1053, 6351, 543, 519, 2702, 547, 723, 2852, 2069, 2337, 12954, 2804, 2208, 971, 602, 2043, 6108, 811, 547, 10536, 811, 1344, 543, 4688, 3854, 563, 8269, 22162, 593, 519, 1101, 2376, 267, 968, 1805, 21880, 28517, 3776, 19004, 998, 5441, 585, 782, 2437, 9607, 519, 2816, 2344, 543, 13848, 269, 901, 2376, 11828, 875, 519, 4346, 7569, 6009, 543, 1761, 5520, 945, 723, 547, 581, 13730, 827, 18375, 543, 1174, 607, 1655, 607, 2009, 269, 634, 1034, 1713, 22920, 538, 713, 1702, 543, 1983, 538, 2022, 6281, 2069, 269, 3509, 824, 2477, 616, 1134, 1790, 3789, 539, 585, 519, 1761, 13781, 781, 2115, 267, 543, 952, 519, 2475, 8593, 3297, 786, 1747, 938, 11615, 693, 1981, 269, 634, 2035, 602, 723, 1044, 5941, 543, 1869, 2408, 538, 713, 2376, 1590, 581, 3370, 2185, 1296, 4505, 630, 8867, 517, 14551, 339, 267, 476, 1001, 279, 1040, 1879, 4446, 871, 15525, 729, 519, 5518, 267, 646, 1185, 513, 10325, 602, 646, 10294, 602, 12303, 782, 1053, 1223, 2972, 1863, 2146, 2852, 269, 901, 11036, 729, 1631, 711, 2500, 2185, 1296, 2663, 2094, 2146, 12621, 616, 711, 1930, 269, 634, 11556, 3238, 711, 2348, 547, 6445, 538, 519, 7662, 585, 8549, 9906, 26859, 547, 581, 14102, 676, 519, 5313, 7245, 269, 901, 11036, 814, 711, 1044, 6192, 267, 855, 14174, 293, 6347, 2306, 621, 4443, 547, 1294, 2436, 1053, 616, 8348, 547, 20618, 585, 6351, 269, 901, 2376, 14592, 602, 476, 4792, 260, 540, 782, 6009, 538, 513, 1032, 1131, 2154, 513, 25328, 781, 267, 21133, 781, 267, 610, 930, 1106, 540, 2069, 3544, 6281, 3506, 267, 6236, 519, 7330, 781, 1699, 1646, 2557, 563, 763, 2034, 2376, 594, 723, 5697, 267, 968, 763, 19663, 5441, 19573, 566, 29361, 2437, 9607, 1053, 945, 2661, 538, 543, 3643, 6280, 3786, 4926, 269, 634, 5383, 585, 9945, 543, 17498, 1938, 616, 3875, 269, 1452, 5383, 1331, 2539, 13864, 267, 2362, 26038, 267, 2799, 1134, 1373, 267, 543, 3152, 8788, 538, 519, 1279, 2196, 269, 630, 8867, 517, 14551, 339, 267, 476, 1001, 279, 1040, 634, 17498, 728, 267, 1498, 267, 568, 602, 513, 561, 748, 344, 2875, 814, 606, 705, 903, 7356, 2852, 1967, 6060, 269, 901, 2022, 267, 2705, 267, 4967, 602, 585, 14547, 1004, 945, 979, 547, 2852, 267, 621, 568, 2484, 1114, 689, 1346, 945, 616, 711, 14547, 269, 769, 519, 2063, 476, 2412, 1296, 267, 1053, 262, 5662, 569, 2628, 814, 2799, 267, 855, 1346, 609, 1022, 2852, 4282, 1705, 711, 1294, 1454, 6454, 269, 634, 6280, 4110, 7941, 568, 11097, 2287, 543, 568, 18363, 1647, 543, 27797, 1053, 269, 1358, 723, 1044, 6766, 1312, 676, 2759, 10587, 538, 1533, 7482, 543, 676, 2799, 679, 1503, 906, 269, 1703, 568, 606, 16315, 540, 1719, 538, 6963, 532, 519, 3454, 267, 8027, 4507, 267, 543, 824, 4610, 609, 5518, 24068, 538, 5604, 269, 901, 786, 1450, 6634, 540, 1053, 945, 8451, 689, 10820, 540, 27465, 547, 10927, 563, 268, 5381, 885, 543, 20212, 540, 519, 18242, 20456, 15613, 13242, 676, 8835, 543, 28635, 1662, 574, 11535, 20373, 281, 18242, 5832, 4640, 4016, 547, 519, 3157, 543, 5773, 602, 606, 3919, 12662, 538, 1747, 547, 2327, 922, 5370, 3914, 519, 3803, 7082, 538, 942, 269, 1323, 3608, 3761, 5832, 1374, 3648, 6971, 5665, 3790, 543, 5932, 6075, 9547, 543, 14017, 269, 1280, 1383, 267, 8835, 15387, 835, 540, 519, 1862, 277, 3817, 270, 19749, 486, 13679, 271, 1913, 347, 476, 1015, 17796, 1923, 14905, 1923, 19098, 267, 16010, 267, 590, 31723, 1923, 3194, 7433, 11406, 268, 23592, 7763, 832, 5811, 4828, 20373, 281, 23592, 568, 513, 1634, 16669, 2754, 3743, 585, 8677, 540, 2472, 543, 2533, 269, 898, 568, 4092, 538, 4993, 609, 6022, 334, 1325, 1729, 607, 2212, 638, 6621, 269, 898, 2488, 513, 2039, 540, 2533, 267, 1519, 3859, 8122, 17981, 267, 8440, 267, 7470, 10253, 267, 6007, 4859, 267, 543, 3167, 6517, 2807, 272, 2985, 270, 19749, 486, 22550, 1913, 347, 476, 273, 17796, 1923, 14905, 1923, 19098, 267, 16010, 267, 590, 31723, 1923, 3194, 7433, 11406, 268, 27010, 15278, 781, 10374, 543, 7043, 12910, 11038, 16448, 5811, 20373, 281, 27010, 15278, 568, 835, 540, 519, 1634, 1857, 21775, 3549, 4092, 538, 519, 2136, 2276, 269, 898, 568, 19473, 21632, 4102, 538, 519, 2475, 269, 4706, 5169, 568, 5532, 547, 590, 1299, 533, 476, 4335, 12039, 543, 8188, 6735, 689, 1079, 1804, 18318, 267, 8835, 543, 9546, 27926, 269, 634, 2754, 729, 3964, 538, 476, 3422, 273, 855, 8185, 9450, 538, 519, 476, 2735, 271, 338, 1862, 1015, 3817, 270, 19749, 486, 22550, 271, 1913, 347, 476, 275, 17796, 1923, 14905, 1923, 19098, 267, 16010, 267, 590, 31723, 1923, 3194, 7433, 1923, 0, 8489, 568, 5755, 1336, 538, 18096, 888, 10870, 531, 267, 18096, 779, 3557, 9412, 454, 7197, 540, 519, 5755, 24776, 538, 18096, 568, 3787, 6058, 748, 267, 543, 5176, 782, 540, 519, 24776, 5755, 630, 5952, 8472, 568, 14616, 693, 1379, 2371, 547, 3132, 5201, 269, 14086, 568, 5097, 13671, 538, 519, 3844, 851, 540, 519, 1533, 538, 9622, 344, 267, 12539, 267, 543, 1530, 22609, 4032, 625, 267, 543, 2504, 25939, 476, 1691, 1700, 1626, 2929, 9748, 513, 1032, 563, 3674, 972, 5755, 538, 18096, 888, 10870, 531, 269, 18096, 814, 827, 476, 272, 260, 540, 519, 4182, 779, 6059, 9156, 762, 5755, 14425, 543, 6589, 585, 476, 273, 260, 540, 772, 2529, 269, 5755, 2504, 269, 4107, 3742, 15183, 538, 519, 1533, 616, 11895, 4238, 538, 3844, 18096, 563, 1692, 1082, 5755, 15183, 616, 972, 538, 18096, 888, 28899, 5755, 15183, 454, 2026, 540, 476, 1001, 271, 972, 941, 5111, 476, 279, 3742, 5755, 15183, 538, 18096, 609, 2504, 540, 5111, 476, 866, 267, 31620, 2110, 9748, 829, 1032, 563, 1432, 3132, 568, 18096, 1634, 585, 888, 295, 599, 568, 18096, 779, 4102, 7693, 267, 6738, 547, 3049, 14132, 543, 10683, 12418, 269, 5682, 5264, 543, 21543, 2472, 630, 13607, 1540, 2371, 543, 25798, 19211, 264, 616, 849, 1360, 1271, 547, 519, 1533, 269, 634, 10568, 267, 24061, 267, 543, 8970, 7031, 616, 849, 1271, 269, 31327, 5613, 616, 13212, 267, 10027, 1845, 267, 543, 890, 2851, 563, 1692, 1454, 5201, 1281, 18096, 946, 888, 763, 2475, 6052, 6176, 10029, 779, 630, 292, 8656, 264, 3328, 10865, 3915, 1867, 585, 476, 1001, 279, 4951, 602, 519, 3328, 5993, 5201, 4616, 585, 513, 772, 2529, 269, 10821, 10626, 6075, 729, 476, 280, 1691, 737, 2662, 829, 3923, 269, 634, 1482, 1867, 4951, 602, 519, 3328, 737, 2662, 829, 3923, 10821, 5201, 6165, 585, 18096, 729, 476, 278, 5655, 737, 2662, 563, 1432, 568, 24776, 538, 18096, 888, 25219, 1695, 568, 1152, 16073, 540, 536, 2044, 961, 1756, 267, 543, 13101, 4496, 543, 513, 2101, 16073, 540, 18761, 31354, 267, 7601, 267, 4154, 267, 543, 8709, 18123, 269, 4033, 21113, 3812, 1331, 9160, 267, 1455, 10036, 267, 27960, 267, 4401, 7626, 267, 18654, 267, 544, 8432, 321, 6577, 636, 267, 19552, 267, 1494, 1662, 267, 8988, 563, 1432, 568, 519, 1283, 6721, 4154, 9553, 538, 18096, 888, 9213, 267, 519, 1034, 29988, 4154, 16073, 568, 29078, 5069, 24258, 267, 799, 568, 513, 7601, 9553, 4092, 1175, 22236, 540, 17865, 8235, 4975, 269, 1924, 2484, 621, 814, 3812, 811, 982, 476, 2537, 2929, 13728, 630, 12671, 476, 278, 1428, 9748, 264, 540, 4154, 267, 1818, 621, 835, 540, 519, 4102, 4154, 12696, 538, 519, 2136, 2276, 563, 2691, 1705, 5599, 1376, 538, 18096, 888, 763, 20297, 540, 5010, 5599, 538, 18096, 616, 14360, 547, 29962, 18536, 661, 269, 1230, 24335, 543, 1010, 4993, 543, 21600, 21816, 32580, 945, 8452, 538, 519, 17865, 8235, 9503, 538, 5239, 476, 5908, 273, 269, 0, 28062, 476, 4510, 278, 274, 3594, 563, 31535, 602, 32264, 729, 15653, 676, 1200, 4651, 2337, 835, 5469, 13513, 538, 713, 267, 799, 568, 2047, 1644, 547, 22158, 269, 901, 27711, 22158, 1317, 267, 1510, 513, 4775, 8841, 1412, 338, 20599, 7012, 1412, 339, 2111, 547, 21707, 267, 849, 2021, 1419, 1745, 607, 952, 2367, 2196, 2476, 950, 513, 1126, 568, 4535, 547, 882, 22055, 880, 741, 9021, 607, 513, 4651, 563, 2108, 305, 558, 4842, 1143, 543, 29975, 676, 6307, 32264, 1848, 9137, 3733, 15488, 267, 476, 1001, 271, 269, 968, 293, 655, 24452, 543, 29975, 1848, 654, 550, 345, 6807, 681, 268, 4353, 5398, 3427, 3590, 563, 5475, 1200, 3993, 779, 1967, 609, 22158, 267, 5555, 5191, 585, 2021, 1185, 13087, 1200, 547, 2744, 6392, 547, 1200, 1378, 3209, 543, 1352, 729, 2111, 547, 1065, 889, 1501, 519, 3209, 896, 1200, 1378, 2012, 538, 476, 8146, 272, 269, 3057, 787, 32264, 267, 950, 1352, 1500, 513, 6857, 3375, 547, 3132, 29975, 267, 1352, 12777, 6394, 1200, 1378, 1629, 976, 1927, 547, 1711, 1200, 1378, 26249, 538, 17793, 2483, 9515, 12038, 540, 1893, 543, 6214, 607, 789, 1644, 547, 22158, 269, 6307, 32264, 781, 20822, 13629, 540, 1200, 1360, 3532, 29975, 568, 513, 5386, 1383, 540, 22158, 1336, 538, 2486, 563, 13775, 538, 476, 8687, 279, 676, 6307, 32264, 267, 1200, 1650, 6645, 540, 519, 7045, 540, 1762, 8841, 29975, 543, 519, 5137, 540, 1010, 13442, 269, 901, 1184, 540, 4730, 26881, 779, 12167, 543, 15603, 519, 2856, 968, 4532, 889, 622, 892, 4847, 803, 547, 13217, 1250, 8367, 543, 1439, 909, 598, 1723, 551, 532, 513, 2178, 4661, 607, 547, 875, 6307, 32264, 779, 29975, 20475, 8706, 2065, 2093, 563, 24730, 23821, 710, 267, 538, 1010, 1557, 834, 763, 7736, 4269, 540, 29975, 2437, 23216, 282, 29975, 6499, 547, 4827, 1010, 6091, 267, 547, 1711, 2576, 547, 834, 1410, 9052, 1010, 786, 543, 2628, 1864, 4630, 720, 257, 630, 9340, 1040, 4107, 13915, 598, 2017, 602, 29975, 936, 25074, 1010, 23451, 676, 1095, 11167, 646, 781, 17709, 540, 519, 3860, 957, 2899, 11603, 585, 2696, 563, 21008, 2581, 540, 2777, 2245, 267, 8305, 9189, 540, 21481, 6993, 4135, 7548, 12049, 15636, 1154, 2899, 10645, 602, 834, 29445, 18315, 568, 513, 1587, 540, 9880, 267, 711, 5339, 960, 1701, 7170, 267, 29975, 630, 528, 5754, 1495, 2967, 8871, 9220, 639, 264, 568, 4294, 547, 519, 1292, 1915, 540, 519, 1650, 267, 3220, 269, 8841, 29975, 563, 1103, 1568, 540, 3332, 782, 936, 519, 1158, 267, 649, 1294, 513, 1455, 6249, 540, 22158, 269, 12339, 24452, 568, 519, 957, 540, 8165, 585, 2021, 779, 2924, 563, 4407, 621, 949, 723, 711, 1044, 2111, 547, 1689, 519, 1747, 540, 2021, 538, 2486, 267, 29975, 568, 1900, 4724, 21048, 4979, 519, 6456, 4222, 540, 513, 4807, 779, 5639, 269, 9282, 29975, 949, 3100, 899, 1175, 1776, 16897, 1650, 267, 513, 6251, 1413, 693, 922, 5048, 6920, 513, 2178, 4527, 540, 15594, 4798, 563, 27746, 654, 3326, 7723, 8154, 32264, 779, 29975, 267, 610, 267, 634, 2413, 8871, 9220, 639, 269, 1358, 9916, 519, 2898, 3209, 538, 519, 15594, 5943, 543, 6836, 547, 4612, 519, 1585, 4798, 2404, 609, 22158, 563, 1103, 2442, 2528, 267, 649, 917, 602, 29975, 568, 513, 1915, 24373, 3039, 267, 14669, 547, 28749, 2813, 676, 6307, 32264, 269, 6307, 15593, 787, 781, 29975, 834, 29445, 18315, 257, 607, 513, 1950, 1915, 568, 513, 20096, 16897, 3209, 2813, 676, 6307, 1744, 597, 2917, 538, 476, 8687, 279, 563, 306, 3559, 2917, 1379, 2685, 20475, 602, 6249, 998, 519, 1646, 540, 8841, 29975, 781, 8959, 17050, 267, 519, 13442, 781, 726, 697, 267, 543, 519, 17149, 9552, 540, 29975, 269, 29975, 2107, 267, 634, 7073, 8871, 9220, 639, 563, 296, 1745, 621, 568, 2312, 2429, 519, 3209, 267, 543, 7222, 547, 1200, 3105, 909, 32523 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4661, 602, 23413, 30434, 610, 930, 824, 717, 8008, 6205, 1185, 1767, 519, 1739, 267, 4730, 1055, 30434, 779, 1378, 1913, 1657, 912, 28058, 545, 10986, 267, 10285, 1072, 1416, 7426, 267, 543, 2550, 693, 19190, 616, 4466, 2933, 896, 14213, 1318, 1631, 693, 606, 13778, 1377, 269, 634, 5208, 649, 2461, 7487, 9859, 1996, 19190, 267, 7426, 267, 543, 2550, 568, 513, 1463, 23314, 540, 519, 10792, 20116, 543, 519, 642, 559, 2305, 540, 7189, 543, 2550, 602, 8909, 569, 814, 2097, 782, 519, 1259, 689, 519, 1283, 540, 519, 717, 8008, 19044, 543, 15449, 919, 2429, 519, 3490, 540, 519, 17044, 9549, 267, 538, 799, 2021, 779, 4703, 616, 5701, 607, 1857, 3959, 269, 30814, 10457, 267, 18322, 15161, 543, 1533, 9777, 2137, 723, 6074, 547, 642, 559, 1518, 2021, 779, 1072, 7426, 693, 1169, 1377, 269, 31898, 7595, 543, 1893, 814, 4539, 269, 898, 814, 4539, 269, 1656, 936, 543, 936, 1586, 649, 2461, 7487, 1072, 7426, 6098, 269, 1284, 723, 513, 3532, 4439, 569, 17870, 527, 543, 649, 1590, 3247, 1210, 15739, 323, 1243, 12982, 20116, 563, 1103, 713, 2013, 267, 30434, 1131, 581, 1318, 281, 3115, 8793, 1072, 13282, 7426, 616, 8197, 6849, 13778, 2157, 540, 4323, 269, 3807, 713, 5181, 267, 519, 31440, 5950, 513, 15398, 3463, 4879, 267, 15663, 602, 968, 527, 568, 2693, 7803, 610, 19035, 13685, 786, 3136, 547, 581, 9859, 1996, 10285, 1072, 1416, 7426, 267, 741, 5234, 543, 6703, 2223, 543, 9963, 19190, 540, 2799, 6937, 1759, 593, 968, 534, 15399, 1157, 538, 6285, 593, 10285, 1072, 1416, 6703, 1848, 769, 1249, 267, 519, 31440, 13475, 1018, 621, 1631, 7125, 519, 968, 2889, 3734, 17119, 626, 3350, 3034, 21953, 5103, 15792, 2963, 540, 713, 267, 519, 4550, 31547, 3350, 3576, 3268, 547, 10936, 17405, 593, 1018, 729, 2907, 513, 3810, 1166, 30100, 3510, 267, 543, 1287, 1396, 519, 6474, 563, 1607, 2250, 4832, 267, 513, 5892, 7164, 3919, 1572, 519, 4741, 585, 6481, 18776, 630, 290, 6573, 264, 2196, 676, 513, 5892, 7164, 476, 736, 1606, 15036, 4550, 31547, 1766, 894, 3957, 6424, 667, 1446, 16582, 5950, 8185, 11705, 1819, 7044, 540, 7391, 609, 16377, 7426, 602, 1185, 1044, 6592, 1147, 516, 696, 527, 13124, 676, 667, 1446, 16582, 543, 1866, 5665, 896, 4625, 7301, 5910, 5151, 269, 634, 12995, 8747, 540, 891, 7044, 267, 1625, 1636, 532, 547, 1683, 2963, 602, 1773, 10165, 623, 13873, 11856, 19190, 941, 9513, 543, 1527, 1746, 1055, 519, 9042, 540, 19341, 5160, 543, 968, 321, 17879, 2694, 2223, 16004, 1100, 11696, 28917, 547, 519, 3312, 22089, 3144, 676, 667, 1446, 16582, 267, 799, 538, 1249, 4951, 4010, 519, 6587, 267, 602, 19190, 941, 3246, 513, 3028, 267, 693, 1942, 267, 2687, 547, 7453, 3656, 543, 5683, 4808, 267, 547, 2021, 945, 540, 741, 1378, 2019, 819, 4941, 547, 24946, 19341, 5160, 547, 1382, 269, 769, 2110, 267, 543, 547, 10956, 267, 972, 729, 711, 513, 27054, 540, 2963, 540, 10997, 26550, 1221, 676, 595, 6573, 267, 543, 538, 1249, 267, 621, 568, 595, 6573, 1631, 896, 7634, 676, 519, 18607, 2489, 540, 4993, 563, 8253, 3850, 5013, 547, 1796, 538, 519, 1259, 540, 922, 5880, 1228, 267, 519, 1318, 3459, 543, 814, 22002, 513, 29287, 5859, 540, 6285, 593, 1773, 10165, 623, 13873, 11856, 4481, 543, 10285, 1072, 7426, 3622, 267, 1034, 5063, 934, 6748, 873, 540, 19338, 538, 1560, 2694, 563, 2005, 1131, 2154, 513, 1433, 27480, 1592, 547, 10956, 519, 7301, 6898, 543, 796, 2889, 1597, 31482, 1996, 26076, 1500, 676, 4550, 31547, 14761, 543, 11051, 538, 519, 2250, 3670, 3275, 4805, 267, 855, 1934, 616, 513, 1906, 5439, 912, 1103, 513, 2413, 18883, 540, 519, 1973, 5391, 601, 1031, 547, 1219, 877, 543, 20586, 7642, 543, 799, 27838, 4254, 5208, 543, 533, 690, 668, 338, 267, 667, 1446, 16582, 10645, 547, 519, 13233, 5623, 602, 7426, 941, 968, 327, 12000, 1782, 936, 519, 3902, 540, 2713, 1453, 3034, 1103, 5147, 267, 16172, 1310, 5305, 540, 519, 1101, 595, 6573, 7044, 543, 1510, 1022, 4674, 547, 13182, 1651, 754, 10706, 6811, 1500, 538, 519, 7044, 267, 30434, 5950, 513, 3948, 6031, 912, 9213, 779, 3377, 3823, 31482, 602, 1773, 10165, 623, 13873, 11856, 568, 7654, 9513, 519, 1560, 2694, 540, 519, 9002, 621, 814, 705, 9285, 568, 7210, 2287, 269, 1703, 568, 1100, 1747, 585, 27710, 9707, 7616, 540, 3906, 602, 7443, 689, 2921, 2476, 17608, 1272, 267, 1454, 1447, 1527, 1746, 1055, 519, 4703, 540, 519, 2729, 789, 723, 21687, 269, 6837, 1058, 5612, 2253, 606, 7634, 540, 1773, 10165, 623, 13873, 11856, 779, 2238, 3823, 519, 9042, 543, 4483, 540, 705, 9285, 1560, 2694, 267, 1519, 945, 568, 13844, 873, 543, 1018, 789, 616, 1373, 1031, 585, 269, 1656, 621, 1058, 5710, 3646, 547, 4628, 1219, 1495, 1773, 10165, 623, 13873, 11856, 547, 2327, 602, 922, 25432, 22625, 1870, 11392, 711, 835, 29784, 540, 27710, 9707, 2724, 269, 1496, 10387, 3508, 529, 3773, 24358, 290, 745, 345, 814, 4797, 547, 17200, 713, 6249, 593, 519, 5859, 13009, 269, 769, 513, 5181, 1566, 24737, 267, 30434, 5206, 827, 519, 968, 1817, 337, 4328, 543, 3046, 8663, 545, 2470, 892, 540, 1773, 10165, 623, 13873, 11856, 267, 7682, 532, 267, 1851, 824, 1919, 267, 602, 968, 13563, 27710, 16558, 616, 4867, 7142, 547, 2508, 713, 2693, 7803, 3919, 267, 799, 3046, 1562, 543, 23619, 519, 1560, 2694, 540, 796, 9799, 1453, 3034, 11039, 1310, 519, 7044, 941, 1336, 547, 581, 535, 1023, 1881, 267, 717, 8008, 11134, 2961, 569, 674, 1640, 2088, 267, 945, 607, 7074, 676, 2160, 540, 4993, 11001, 2961, 1961, 808, 4752, 324, 267, 968, 13757, 519, 4356, 540, 3196, 2685, 30945, 1524, 593, 1200, 1496, 32401, 316, 6811, 1496, 16838, 316, 950, 1352, 568, 21947, 609, 519, 5168, 2223, 4797, 547, 3409, 1773, 10165, 623, 13873, 11856, 729, 16944, 540, 968, 9618, 4034, 532, 4816, 2694, 2223, 5103, 2963, 602, 519, 3381, 547, 799, 1352, 11329, 729, 535, 1023, 1881, 563, 300, 833, 670, 3089, 629, 2465, 814, 1500, 6285, 593, 16377, 7426, 543, 593, 1773, 10165, 623, 13873, 11856, 513, 4099, 12328, 540, 1010, 5859, 267, 19101, 602, 19190, 616, 968, 18522, 9002, 685, 1560, 2694, 899, 519, 2694, 540, 513, 11370, 1157, 1848, 670, 3089, 629, 2465, 814, 1585, 569, 1572, 1773, 10165, 623, 13873, 11856, 513, 968, 26973, 585, 16926, 3919, 2223, 3379, 16377, 7426, 547, 13609, 267, 543, 7150, 602, 968, 21671, 2094, 519, 21647, 723, 649, 2938, 971, 4411, 29188, 539, 967, 29924, 547, 1480, 1272, 3034, 24868, 725, 593, 713, 6249, 723, 1044, 1439, 8393, 7368, 585, 3275, 676, 16232, 10457, 5484, 23663, 517, 267, 18496, 11686, 267, 3057, 1723, 11676, 1470, 267, 543, 8614, 321, 17312, 593, 7641, 267, 5925, 267, 543, 538, 1820, 267, 543, 4797, 1134, 1310, 6937, 547, 19190, 941, 2047, 5532, 676, 519, 31440, 547, 519, 5305, 540, 519, 595, 6573, 7044, 563, 2108, 7712, 519, 5305, 540, 519, 3355, 3381, 676, 605, 3734, 3919, 4741, 585, 6481, 18776, 538, 5147, 267, 22602, 2161, 972, 723, 1044, 8370, 7803, 610, 19035, 13685, 2066, 519, 2197, 2223, 2687, 547, 513, 1867, 593, 519, 31440, 4681, 676, 11518, 623, 1122, 1132, 540, 595, 7034, 5240, 563, 763, 13685, 1331, 4080, 6880, 31281, 2931, 267, 6937, 267, 543, 818, 338, 976, 269, 634, 31440, 11099, 519, 13685, 616, 267, 968, 4621, 11962, 609, 519, 3527, 540, 19157, 25476, 1210, 12485, 540, 818, 338, 976, 543, 6937, 782, 540, 799, 616, 6093, 540, 519, 605, 3734, 17119, 626, 3350, 3034, 22746, 6937, 941, 1134, 8153, 1354, 519, 31440, 1867, 543, 1134, 1354, 519, 5305, 540, 519, 12982, 7044, 269, 634, 2817, 2806, 10407, 18966, 630, 2793, 293, 264, 814, 27424, 13685, 540, 5208, 1996, 7426, 2094, 476, 3192, 278, 543, 814, 1336, 602, 2094, 476, 3192, 278, 267, 606, 968, 23457, 5859, 676, 4550, 268, 629, 10407, 17119, 1235, 2560, 814, 8507, 538, 32117, 2157, 540, 5208, 1996, 2021, 779, 1072, 1416, 7426, 2560, 1496, 553, 316, 4550, 268, 629, 10407, 17119, 1235, 723, 6074, 547, 1491, 519, 1876, 883, 741, 1378, 3946, 3034, 2793, 293, 1382, 2982, 602, 1018, 3459, 607, 968, 701, 864, 995, 17600, 609, 4584, 7566, 6410, 547, 3771, 23035, 16758, 5234, 543, 2550, 607, 789, 9411, 19190, 543, 5555, 15583, 730, 547, 3625, 8172, 16758, 1303, 27509, 2223, 543, 2663, 7960, 547, 1331, 818, 338, 976, 543, 10514, 902, 267, 519, 946, 540, 855, 344, 878, 3679, 547, 642, 663, 531, 1125, 19190, 267, 16320, 571, 343, 3463, 5022, 547, 19225, 523, 16758, 5234, 267, 543, 267, 5555, 267, 519, 3126, 540, 15294, 619, 540, 7189, 602, 3459, 538, 519, 476, 1960, 271, 338, 543, 5170, 609, 824, 9496, 902, 543, 5208, 547, 713, 1554, 563, 1103, 922, 476, 1001, 275, 2817, 18669, 20222, 11752, 519, 12339, 21442, 11683, 640, 7690, 1336, 602, 1247, 968, 21671, 892, 476, 866, 269, 278, 2600, 540, 19190, 18487, 4810, 968, 1492, 1034, 4049, 2010, 540, 4550, 268, 629, 10407, 5208, 2223, 1524, 689, 476, 2537, 269, 276, 2600, 540, 19190, 18487, 538, 476, 1001, 271, 267, 19190, 23500, 538, 476, 1001, 275, 20866, 4080, 968, 338, 20138, 14688, 2362, 2157, 540, 6937, 543, 6098, 12932, 9179, 540, 7189, 543, 5234, 982, 538, 1991, 1296, 1848, 1280, 1383, 267, 519, 5619, 1336, 602, 538, 476, 1001, 275, 267, 7189, 543, 16758, 5234, 693, 476, 2764, 2600, 540, 19190, 23500, 941, 6098, 676, 30732, 7410, 5627, 2123, 1344, 1765, 31688, 657, 267, 1753, 9607, 267, 543, 824, 1344, 1765, 1575, 689, 476, 1240, 269, 279, 2600, 540, 19190, 23500, 538, 476, 1001, 271, 267, 543, 602, 588, 22736, 540, 13500, 814, 2799, 267, 689, 476, 277, 269, 275, 2600, 540, 19190, 538, 476, 1001, 271, 547, 5176, 476, 280, 2600, 538, 476, 1001, 275, 563, 2791, 3112, 581, 513, 3743, 1857, 6205, 543, 711, 917, 540, 267, 1174, 267, 543, 581, 21713, 827, 519, 1604, 538, 799, 971, 5208, 29263, 563, 21953, 538, 519, 12687, 540, 31351, 779, 16957, 12638, 748, 838, 872, 593, 11016, 267, 519, 717, 8008, 543, 922, 4550, 31547, 18793, 9663, 13124, 8179, 547, 608, 1529, 335, 622, 2933, 689, 5539, 1247, 1869, 31328, 519, 1482, 7301, 3125, 338, 543, 20116, 602, 3366, 547, 5208, 538, 519, 1101, 1747, 269, 4340, 547, 519, 1715, 3840, 8648, 267, 968, 290, 745, 345, 267, 669, 2378, 532, 693, 519, 19583, 602, 15061, 30852, 540, 1773, 10165, 623, 13873, 11856, 1522, 723, 5129, 513, 1909, 538, 519, 4323, 693, 513, 12548, 16758, 593, 11016, 267, 561, 14414, 856, 593, 10732, 693, 519, 2048, 341, 5534, 20116, 593, 519, 2451, 267, 1025, 5446, 1346, 945, 616, 605, 3734, 9538, 892, 634, 30380, 20116, 540, 519, 2451, 888, 3725, 26407, 4080, 602, 1247, 646, 1572, 519, 15246, 968, 534, 6909, 13357, 2223, 670, 3089, 629, 2465, 968, 323, 1143, 1170, 539, 2911, 602, 10792, 4550, 268, 629, 10407, 20116, 949, 723, 8329, 547, 519, 4323, 2223, 543, 674, 1640, 2088, 968, 338, 4660, 593, 16737, 5240, 621, 729, 2048, 20200, 673, 2451, 26310, 12485, 685, 547, 27313, 1125, 17837, 540, 16377, 610, 519, 2048, 338, 1446, 540, 1560, 2694, 685, 1317, 540, 1018, 1352, 1767, 729, 2048, 984, 16227, 513, 13357, 9538, 7536, 763, 25438, 850, 17229, 540, 28194, 936, 519, 15246, 23953, 8521, 2429, 519, 4550, 31547, 2146, 269, 1306, 26778, 6428, 345, 2006, 4080, 1934, 267, 12287, 3125, 7330, 22557, 30513, 26391, 28224, 267, 945, 568, 1759, 538, 12548, 267, 1767, 538, 513, 3948, 602, 1200, 3919, 968, 641, 5099, 782, 16377, 5829, 5208, 267, 1996, 4535, 543, 796, 9799, 1004, 2223, 855, 4682, 593, 547, 10404, 1125, 3795, 540, 519, 13357, 267, 1603, 602, 968, 1492, 2923, 568, 17528, 547, 1867, 602, 17608, 9002, 616, 7166, 538, 602, 1360, 2679, 1169, 1554, 602, 789, 616, 538, 1870, 3034, 1432, 949, 581, 519, 1034, 30891, 748, 630, 663, 28869, 344, 264, 2773, 540, 24677, 543, 2647, 31991, 3668, 540, 12477, 3357, 689, 667, 1446, 16582, 5128, 267, 945, 10645, 602, 540, 1576, 646, 1281, 711, 7873, 821, 5208, 267, 543, 575, 2465, 267, 646, 779, 8401, 646, 1522, 581, 30199, 543, 568, 7255, 827, 1010, 968, 325, 12188, 693, 1773, 10165, 623, 13873, 11856, 3034, 8133, 267, 23413, 30434, 267, 20116, 543, 1893, 723, 4539, 269, 1656, 936, 543, 936, 1586, 649, 4076, 2938, 602, 519, 717, 8008, 543, 519, 4550, 31547, 3350, 1060, 1804, 1025 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2813, 519, 8682, 6441, 913, 13658, 1310, 11543, 930, 1271, 4030, 269, 594, 1185, 12479, 602, 621, 1223, 948, 2576, 3116, 856, 972, 1932, 2507, 907, 663, 2507, 9080, 3101, 689, 3105, 5955, 267, 621, 1705, 2336, 17798, 267, 952, 596, 616, 11842, 875, 519, 1894, 6062, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 2704, 614, 22226, 11978, 3098, 257, 607, 851, 540, 834, 25787, 1315, 5369, 31752, 1315, 19837, 1539, 894, 14740, 13081, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6946, 7544, 6013, 16882, 998, 1702, 269, 11150, 585, 19086, 1981, 543, 2921, 14942, 3268, 547, 4383, 519, 2783, 2097, 547, 1769, 269, 3245, 8508, 513, 1134, 25454, 267, 8770, 1673, 1619, 2732, 547, 6220, 2834, 2168, 2534, 543, 12561, 2566, 31193, 2553, 267, 891, 4485, 15217, 17362, 519, 2619, 4724, 19620, 17441, 11466, 269, 1306, 519, 6106, 540, 623, 26714, 779, 6988, 616, 22019, 539, 2476, 267, 649, 711, 1152, 1629, 22438, 1518, 922, 8129, 855, 849, 16491, 6000, 609, 4030, 547, 2539, 1981, 543, 6536, 513, 3460, 2509, 3102, 1134, 5630, 563, 29248, 1077, 618, 3414, 11310, 281, 23369, 543, 5004, 540, 623, 26714, 454, 763, 5868, 540, 623, 26714, 14122, 513, 9488, 4879, 1759, 593, 3964, 2564, 7355, 543, 7463, 4255, 269, 16195, 4648, 3335, 2015, 513, 4999, 540, 2188, 267, 1519, 12150, 18492, 9979, 267, 11506, 543, 4088, 2157, 267, 543, 519, 4527, 540, 25073, 30219, 267, 607, 13890, 538, 4808, 585, 5868, 269, 901, 3102, 1935, 5849, 513, 11455, 6268, 267, 7175, 4977, 8446, 543, 13604, 13057, 2500, 2359, 2994, 563, 2690, 1346, 25054, 593, 519, 3460, 540, 5883, 623, 26714, 267, 513, 7059, 1935, 3587, 14063, 269, 21988, 2359, 1419, 3322, 513, 10347, 7544, 1063, 2564, 7459, 543, 6197, 11941, 269, 2755, 6646, 666, 2232, 1808, 2589, 543, 17441, 20817, 267, 621, 568, 5348, 1120, 12264, 1264, 7757, 676, 8508, 8902, 8192, 5079, 267, 2502, 538, 2834, 2168, 2534, 267, 543, 5807, 2566, 3146, 9134, 2553, 269, 901, 12760, 540, 2564, 6791, 543, 10531, 6197, 12381, 16877, 2043, 547, 1491, 1852, 540, 741, 1134, 5630, 267, 3986, 741, 2298, 540, 1272, 267, 543, 6536, 513, 18900, 2078, 609, 741, 4703, 454, 2419, 691, 532, 519, 6092, 589, 3650, 281, 16871, 5020, 609, 623, 26714, 454, 3080, 540, 519, 7944, 18429, 6013, 538, 3358, 6484, 267, 1141, 1818, 13533, 8192, 5079, 666, 29937, 7415, 5222, 269, 30459, 2898, 3536, 267, 3638, 538, 5567, 543, 6775, 267, 1247, 15645, 908, 15568, 14836, 543, 9268, 3536, 267, 666, 948, 24644, 1973, 4006, 2157, 543, 4383, 2597, 30867, 1898, 2460, 540, 623, 26714, 2359, 269, 3958, 267, 10709, 532, 883, 519, 7326, 540, 4966, 543, 13167, 513, 6484, 1544, 602, 24889, 609, 707, 1560, 779, 2189, 2115, 666, 6536, 513, 2318, 2078, 609, 1426, 543, 17362, 519, 1259, 585, 13455, 1134, 5630, 563, 16498, 2534, 267, 1932, 267, 19674, 607, 513, 14984, 24343, 538, 519, 1391, 585, 3666, 269, 29114, 1681, 513, 8516, 6296, 602, 20383, 609, 707, 7375, 543, 2168, 7207, 666, 16637, 519, 10206, 540, 3635, 607, 513, 25287, 267, 13321, 621, 883, 606, 11791, 1582, 13282, 2259, 269, 6787, 621, 779, 10649, 585, 2566, 5786, 267, 4222, 2866, 585, 10894, 1072, 267, 610, 3274, 2502, 538, 2238, 602, 8141, 7772, 267, 3001, 707, 1560, 666, 581, 513, 3532, 1907, 585, 5883, 623, 26714, 269, 13262, 2359, 2553, 267, 971, 607, 11009, 267, 9066, 267, 543, 2620, 7244, 267, 2417, 9148, 519, 11455, 1935, 269, 1452, 2853, 1810, 1406, 1175, 948, 13468, 519, 12503, 540, 2413, 1272, 855, 666, 849, 9797, 1764, 17441, 20817, 1419, 2404, 609, 623, 26714, 563, 21615, 571, 1424, 1272, 609, 623, 26714, 568, 606, 6946, 3460, 602, 3340, 513, 11100, 540, 1582, 16327, 6842, 543, 8990, 269, 4591, 2065, 1134, 5630, 2853, 267, 8151, 689, 7850, 3207, 547, 14637, 1514, 4296, 267, 1106, 519, 5958, 540, 513, 16180, 1272, 269, 1635, 13156, 623, 26714, 711, 607, 513, 12042, 8896, 267, 855, 607, 606, 4316, 585, 2208, 543, 16882, 267, 596, 666, 11349, 6043, 543, 7832, 593, 513, 2619, 540, 2713, 7524, 569, 267, 28000, 540, 519, 2591, 15054, 676, 519, 2783, 269, 5457, 267, 621, 779, 827, 519, 1507, 267, 5812, 3268, 543, 519, 7104, 1764, 789, 1711, 267, 6038, 5935, 513, 1272, 602, 779, 3638, 538, 21755, 267, 25273, 267, 543, 11455, 1072, 269, 0, 2171, 979, 547, 519, 11290, 547, 4983, 519, 1134, 1373, 540, 938, 5694, 547, 1118, 2386, 602, 649, 1810, 1406, 1616, 3797, 543, 1832, 2476, 689, 4576, 538, 11685, 547, 5563, 269, 1284, 3335, 22036, 2564, 18362, 547, 1118, 2386, 602, 938, 938, 4703, 616, 27357, 543, 11207, 8647, 3510, 269, 1924, 1946, 711, 6023, 938, 22405, 543, 2960, 888, 7093, 3685, 568, 1655, 982, 2126, 454, 6624, 2043, 8263, 602, 950, 789, 2461, 7820, 267, 789, 1810, 1406, 723, 547, 6023, 741, 22405, 543, 2960, 607, 513, 1267, 540, 11489, 789, 2461, 1454, 4587, 267, 621, 3085, 1406, 2339, 269, 1717, 519, 1259, 538, 799, 596, 6023, 707, 22405, 543, 2960, 1631, 786, 723, 606, 1198, 593, 596, 11104, 3585, 538, 2663, 1272, 269, 1215, 938, 22405, 543, 2960, 6763, 519, 2638, 540, 942, 568, 14320, 4719, 32739, 602, 649, 2461, 782, 538, 513, 5180, 12671, 1259, 267, 2705, 519, 12490, 543, 32060, 1223, 7654, 581, 14320, 8519, 676, 1818, 1978, 596, 19872, 267, 4235, 13907, 540, 1216, 543, 1832, 2476, 689, 32398, 3665, 3859, 563, 763, 3859, 568, 2523, 5906, 543, 32398, 666, 2322, 596, 693, 8799, 3463, 540, 4299, 676, 22405, 543, 2960, 1034, 11871, 269, 5901, 538, 2247, 267, 596, 2461, 676, 1100, 1797, 1932, 7820, 547, 9856, 707, 22405, 543, 2960, 269, 1411, 949, 1491, 12257, 538, 519, 5383, 540, 2921, 1434, 1416, 540, 707, 22405, 543, 2960, 952, 596, 1439, 909, 4587, 267, 2370, 4674, 596, 1305, 883, 707, 22405, 543, 2960, 1247, 596, 723, 1044, 32249, 267, 786, 1459, 13964, 563, 27770, 626, 584, 6500, 543, 1216, 538, 707, 22405, 543, 2960, 454, 2005, 568, 3857, 958, 4105, 547, 6108, 2724, 593, 5848, 584, 6500, 602, 779, 3617, 538, 707, 22405, 543, 2960, 4990, 563, 268, 4634, 522, 1176, 22405, 543, 2960, 1590, 581, 5848, 5265, 607, 3819, 22405, 543, 2960, 11148, 547, 23743, 548, 543, 1899, 513, 2603, 18334, 543, 1354, 18825, 609, 606, 24215, 522, 1176, 22405, 543, 2960, 563, 268, 16959, 22405, 543, 2960, 666, 581, 3063, 811, 2693, 547, 581, 1360, 10347, 547, 5162, 669, 11035, 1223, 1118, 669, 11474, 22405, 543, 2960, 267, 15319, 543, 7783, 543, 1522, 1267, 538, 1114, 22405, 543, 2960, 22074, 28330, 547, 26253, 610, 27728, 563, 268, 15434, 22486, 22405, 543, 2960, 10123, 814, 519, 1761, 547, 22426, 17900, 543, 2890, 11248, 602, 1267, 538, 606, 3968, 563, 25444, 6487, 519, 4644, 540, 3824, 20535, 1216, 267, 621, 1166, 16640, 856, 782, 540, 519, 13802, 543, 3653, 689, 519, 22405, 543, 2960, 267, 6028, 621, 5347, 267, 32689, 543, 32249, 269, 16480, 267, 649, 1058, 711, 10714, 938, 22405, 543, 2960, 593, 519, 2960, 267, 621, 6499, 513, 1978, 7274, 540, 7509, 547, 1491, 1416, 540, 922, 22786, 543, 13916, 799, 568, 1946, 519, 6165, 540, 18274, 518, 543, 5848, 584, 6500, 616, 865, 4105, 563, 303, 2803, 543, 2960, 9522, 518, 1568, 5265, 547, 1491, 2476, 23606, 543, 9395, 523, 22405, 267, 1256, 950, 513, 1906, 540, 873, 949, 581, 1360, 31492, 593, 519, 22405, 543, 2960, 11129, 547, 581, 1031, 838, 2130, 569, 543, 12582, 1406, 581, 1031, 2066, 519, 3750, 2230, 563, 2662, 3421, 727, 1272, 6752, 454, 2691, 596, 2049, 547, 10929, 689, 533, 574, 1255, 610, 1114, 22405, 543, 2960, 22074, 267, 621, 568, 1360, 1271, 1205, 8156, 533, 574, 1255, 3226, 950, 621, 779, 693, 922, 10782, 912, 268, 666, 979, 2476, 2479, 331, 8463, 26711, 2676, 268, 547, 711, 1448, 856, 513, 1297, 540, 31199, 543, 9636, 563, 23777, 1227, 267, 27357, 10438, 543, 1272, 16654, 3884, 1406, 693, 782, 2053, 6190, 547, 32135, 930, 22405, 543, 2960, 22074, 543, 2152, 269, 13262, 949, 849, 581, 606, 4105, 3390, 267, 2705, 621, 568, 1360, 1271, 3406, 4217, 950, 16601, 538, 1931, 602, 2152, 949, 581, 562, 5792, 1369, 519, 5229, 4505, 982, 789, 3356, 269, 0, 5629, 2390, 513, 942, 267, 972, 729, 513, 4190, 26570, 538, 799, 5030, 513, 2462, 267, 27823, 17794, 563, 18455, 519, 4622, 540, 519, 26570, 267, 519, 17794, 1572, 782, 519, 2831, 543, 10288, 873, 267, 968, 9336, 1485, 835, 540, 596, 1058, 2097, 676, 3054, 607, 1250, 10352, 282, 6382, 267, 594, 786, 6861, 519, 2898, 26570, 3034, 763, 2831, 941, 1932, 18901, 540, 519, 17794, 543, 8815, 547, 23491, 1010, 1931, 269, 1358, 9709, 547, 979, 547, 1864, 835, 676, 835, 4948, 607, 1010, 7594, 563, 763, 27823, 17794, 729, 6126, 609, 1010, 2653, 10352, 269, 17963, 4682, 676, 563, 3080, 1554, 267, 621, 729, 519, 2490, 540, 519, 17544, 269, 589, 2370, 15529, 8067, 1229, 547, 979, 547, 519, 17794, 779, 21799, 563, 763, 2370, 15529, 6603, 519, 17794, 779, 3954, 1360, 3735, 269, 634, 14220, 17794, 887, 1563, 693, 519, 2370, 15529, 543, 4280, 267, 968, 3963, 616, 596, 3735, 18313, 763, 2370, 15529, 14452, 267, 968, 296, 1558, 1776, 17794, 593, 519, 1259, 267, 799, 568, 8273, 982, 596, 269, 898, 12219, 547, 3548, 803, 3034, 763, 17794, 2587, 337, 1176, 4280, 519, 15529, 267, 968, 2710, 596, 917, 1141, 646, 2729, 18313, 763, 15529, 14452, 2048, 8072, 8133, 685, 685, 543, 4280, 519, 4622, 547, 1246, 1864, 563, 2691, 789, 6603, 606, 2025, 1134, 267, 519, 15529, 1767, 547, 519, 4622, 267, 968, 6546, 17794, 2729, 538, 713, 1134, 3034, 763, 18174, 880, 17794, 890, 788, 539, 883, 519, 1134, 543, 5134, 809, 1010, 1378, 8086, 547, 581, 1776, 17794, 267, 543, 887, 1563, 10978, 569, 563, 295, 8960, 519, 16079, 540, 1010, 1378, 887, 541, 4947, 689, 519, 17909, 540, 519, 1134, 267, 519, 17794, 3893, 14220, 543, 29860, 883, 519, 1134, 543, 546, 27547, 563, 6546, 729, 519, 1439, 540, 519, 17794, 267, 543, 782, 519, 2831, 5030, 25747, 538, 519, 26570, 563, 1607, 1453, 779, 1650, 568, 689, 519, 7754, 23298, 656, 571, 630, 26074, 968, 26668, 6164, 2478, 892, 538, 16130, 11850, 527, 568, 513, 4015, 540, 2947, 12531, 540, 5837, 2984, 2854, 676, 513, 4116, 31155, 20692, 590, 12609, 547, 948, 4051, 519, 2379, 806, 593, 1114, 18125, 540, 4622, 3125, 563, 763, 2947, 12531, 1927, 4196, 607, 513, 8261, 585, 513, 17053, 4622, 267, 547, 948, 1864, 538, 14045, 875, 547, 4341, 267, 875, 547, 3442, 1010, 2828, 543, 26110, 267, 875, 547, 2932, 5128, 538, 3232, 1272, 267, 3092, 563, 4322, 2984, 267, 18584, 547, 827, 476, 1220, 14514, 267, 616, 1851, 519, 1034, 4922, 1634, 538, 519, 1158, 267, 2469, 676, 1082, 4408, 538, 1082, 4529, 269, 1703, 568, 513, 4528, 540, 7754, 23298, 656, 571, 538, 5176, 1169, 2101, 1893, 540, 3127, 267, 543, 538, 1840, 972, 616, 476, 1220, 8747, 540, 519, 1257, 538, 811, 982, 476, 2004, 4654, 1472, 519, 1158, 269, 0, 295, 531, 4094, 10089, 2125, 2480, 11490, 12810, 21584, 281, 1215, 547, 3367, 543, 13760, 898, 454, 295, 531, 4094, 15620, 616, 606, 5051, 2442, 3903, 585, 1312, 10821, 543, 5010, 8654, 2115, 269, 2755, 789, 1683, 513, 1164, 1377, 540, 26149, 543, 2097, 538, 513, 3099, 540, 5546, 267, 7306, 267, 543, 26910, 1137, 267, 1620, 519, 10848, 540, 513, 10300, 4094, 15941, 28176, 6516, 7824, 666, 581, 513, 4161, 269, 769, 713, 2376, 267, 649, 3580, 2491, 875, 547, 1224, 543, 1174, 513, 10300, 4094, 15941, 28176, 6516, 7824, 267, 865, 602, 596, 666, 1732, 23676, 2393, 543, 7816, 1022, 2042, 602, 949, 8451, 538, 707, 8654, 1062, 563, 5575, 267, 621, 779, 1271, 547, 723, 513, 2596, 1620, 540, 10300, 4094, 15620, 543, 741, 3334, 269, 589, 10300, 4094, 15941, 568, 16922, 540, 606, 9018, 7387, 630, 528, 23508, 264, 1500, 540, 21247, 543, 606, 6418, 27129, 602, 568, 11303, 676, 10300, 4094, 3154, 269, 634, 27129, 7472, 1769, 950, 5201, 10596, 998, 621, 267, 543, 519, 10300, 4094, 3154, 2337, 547, 2061, 519, 15941, 689, 3897, 2719, 1932, 3533, 269, 3958, 267, 10300, 4094, 15620, 616, 2966, 547, 960, 609, 513, 1978, 1826, 540, 5547, 267, 1572, 513, 968, 4252, 770, 6100, 901, 5547, 21560, 519, 1699, 4881, 998, 519, 27129, 543, 11151, 519, 15941, 689, 23986, 908, 563, 3086, 602, 596, 1174, 519, 9238, 540, 875, 513, 10300, 4094, 15941, 1568, 267, 1577, 779, 1491, 513, 1413, 693, 875, 547, 1224, 513, 10300, 4094, 15941, 28176, 6516, 7824, 269, 589, 28176, 6516, 568, 513, 21370, 6041, 540, 5122, 3334, 267, 11387, 267, 543, 1949, 269, 898, 6257, 519, 3334, 543, 4296, 1063, 873, 267, 1519, 1379, 2959, 267, 17176, 267, 27856, 267, 543, 824, 2609, 563, 2414, 1224, 513, 10300, 4094, 15941, 28176, 6516, 7824, 267, 1101, 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 ]
[ 12015, 3762, 941, 26693, 883, 513, 18027, 543, 13939, 609, 476, 4817, 260, 19844, 630, 272, 281, 2568, 267, 642, 23218, 264, 693, 16953, 538, 24373, 585, 476, 1321, 554, 269, 1280, 602, 267, 476, 272, 16720, 540, 1349, 3070, 729, 6404, 609, 476, 271, 269, 274, 16720, 476, 276, 260, 9770, 6491, 1679, 630, 341, 23218, 1040, 2991, 476, 277, 1295, 267, 476, 271, 269, 274, 16720, 561, 271, 260, 11956, 24277, 269, 2991, 476, 277, 1295, 267, 476, 275, 16720, 476, 275, 260, 9770, 28355, 267, 543, 476, 2004, 260, 19844, 547, 513, 2698, 4320, 540, 476, 1015, 16720, 269, 634, 7848, 729, 1134, 6404, 543, 17861, 730, 693, 4055, 2837, 585, 476, 1428, 1295, 8957, 556, 26047, 10145, 5627, 1216, 3079, 540, 519, 3732, 269, 634, 10110, 766, 540, 519, 4611, 3070, 729, 6027, 693, 476, 10384, 16354, 676, 1210, 513, 2890, 30066, 5467, 269, 31089, 514, 729, 1031, 607, 519, 3044, 585, 519, 3067, 328, 16667, 322, 566, 540, 519, 2698, 2179, 540, 5236, 361, 480, 822, 517, 6950, 269, 11778, 941, 6829, 607, 31501, 540, 678, 583, 514, 6697, 829, 6121, 540, 3819, 2597, 630, 16936, 17320, 1916, 291, 20986, 540, 512, 2335, 514, 630, 295, 698, 9007, 543, 30215, 267, 476, 3192, 279, 994, 307, 2335, 514, 729, 13939, 689, 476, 1911, 8406, 12015, 3762, 609, 476, 1015, 16720, 540, 30341, 1216, 693, 476, 2568, 9180, 585, 476, 1321, 554, 269, 2991, 25916, 566, 693, 476, 4335, 271, 575, 585, 476, 276, 1295, 267, 519, 2706, 333, 520, 656, 729, 6394, 543, 1031, 585, 512, 2335, 514, 7403, 269, 634, 512, 2335, 514, 1543, 729, 6059, 676, 1210, 519, 674, 1700, 291, 556, 26047, 2681, 574, 13011, 1505, 267, 543, 1287, 10110, 766, 729, 1224, 693, 476, 27151, 16354, 269, 570, 2335, 545, 3679, 729, 1031, 607, 513, 3044, 512, 2335, 514, 7623, 563, 291, 20986, 540, 30175, 6950, 630, 292, 327, 10458, 267, 476, 3192, 278, 994, 763, 12015, 3762, 32340, 630, 1911, 8406, 264, 941, 13939, 609, 476, 3199, 260, 25694, 8715, 12935, 630, 9288, 15121, 264, 630, 271, 269, 273, 700, 9943, 273, 264, 693, 4055, 2837, 585, 476, 272, 269, 276, 3108, 998, 5067, 1709, 543, 941, 1287, 22012, 269, 634, 12974, 3433, 729, 18493, 730, 547, 476, 272, 270, 275, 4320, 538, 7477, 340, 334, 269, 634, 2725, 15121, 1349, 729, 17735, 538, 476, 271, 269, 272, 28485, 13624, 670, 5141, 630, 736, 16720, 1070, 12511, 19288, 543, 4188, 9063, 815, 476, 280, 609, 13671, 2725, 15121, 267, 543, 1287, 2991, 476, 1789, 3764, 267, 519, 12974, 3433, 729, 13939, 1614, 2053, 609, 606, 3160, 4320, 540, 8392, 334, 845, 267, 543, 519, 5214, 5123, 729, 18493, 730, 547, 3819, 1145, 267, 543, 476, 3583, 260, 3586, 4320, 540, 476, 1839, 16720, 269, 589, 3732, 540, 519, 1349, 729, 3773, 609, 661, 327, 10458, 556, 26047, 267, 543, 1287, 10110, 766, 729, 1224, 693, 476, 27898, 16354, 269, 26592, 7403, 941, 5340, 267, 1759, 593, 513, 3044, 23363, 7455, 540, 6121, 710, 538, 30341, 1216, 563, 14294, 531, 1098, 9134, 6878, 543, 13961, 29508, 454, 17484, 18100, 29273, 729, 6027, 676, 717, 290, 5336, 306, 4149, 8379, 630, 18250, 30208, 267, 476, 1960, 278, 282, 808, 836, 267, 476, 1001, 279, 994, 288, 2698, 540, 476, 271, 269, 276, 575, 12015, 3732, 729, 13939, 609, 513, 3070, 540, 21449, 821, 543, 476, 2004, 544, 300, 3632, 878, 3679, 630, 3583, 281, 1789, 642, 23218, 1070, 543, 1496, 280, 267, 476, 1015, 268, 273, 295, 273, 316, 476, 280, 267, 476, 1015, 1019, 5139, 549, 11219, 288, 630, 736, 23356, 264, 729, 3773, 607, 606, 4835, 3044, 269, 634, 25694, 3070, 729, 1287, 22012, 543, 13939, 609, 476, 1015, 16720, 540, 1019, 14007, 552, 750, 1614, 2053, 269, 5637, 808, 2026, 630, 754, 18100, 29273, 543, 519, 4835, 3044, 264, 941, 1714, 3176, 609, 476, 1015, 16720, 540, 1019, 14007, 552, 750, 543, 1035, 2045, 3679, 630, 7176, 281, 273, 642, 23218, 1040, 634, 3732, 729, 14661, 547, 476, 2004, 13179, 299, 609, 27524, 3271, 558, 996, 2033, 1310, 519, 21381, 540, 30177, 543, 552, 750, 2305, 540, 519, 21225, 609, 4430, 546, 27927, 558, 996, 2033, 269, 3973, 267, 519, 21555, 941, 9916, 676, 717, 290, 5336, 306, 4149, 8379, 563, 17484, 18100, 1863, 14408, 729, 6027, 676, 1164, 26024, 5277, 24885, 2762, 630, 27426, 9448, 264, 630, 297, 836, 267, 476, 1001, 279, 1916, 288, 476, 271, 269, 273, 575, 19068, 1673, 3072, 3732, 729, 18615, 569, 13939, 609, 476, 3445, 260, 543, 476, 1911, 260, 8715, 12935, 538, 513, 1298, 17287, 4007, 630, 1015, 267, 1822, 9943, 326, 1040, 5637, 21555, 941, 12015, 538, 513, 12511, 269, 634, 3819, 26005, 941, 759, 22273, 2105, 538, 476, 273, 269, 276, 16720, 540, 476, 276, 260, 959, 747, 3271, 334, 659, 2045, 3679, 543, 519, 2706, 333, 520, 656, 729, 15652, 539, 609, 2802, 2643, 21449, 622, 270, 9871, 550, 2033, 270, 529, 641, 1886, 12935, 630, 5392, 269, 276, 281, 5392, 269, 276, 281, 272, 267, 642, 23218, 1040, 634, 1283, 4494, 729, 11843, 547, 513, 476, 275, 16720, 642, 658, 543, 12015, 609, 29881, 715, 3154, 269, 634, 14408, 729, 1586, 17735, 538, 476, 272, 16720, 540, 476, 3583, 260, 8715, 12935, 543, 9916, 676, 24605, 9448, 563, 763, 13961, 1543, 540, 7573, 3762, 729, 5462, 676, 519, 2681, 574, 13011, 544, 8432, 321, 6577, 636, 4544, 1505, 4330, 676, 8709, 3541, 966, 768, 630, 2735, 278, 1916, 763, 1611, 1272, 3349, 6724, 540, 30293, 543, 519, 1543, 540, 9422, 14425, 540, 10568, 538, 5574, 941, 9916, 1210, 590, 31723, 543, 12327, 4753, 299, 543, 941, 5373, 1210, 18882, 476, 1001, 277, 269, 7193, 288, 543, 3002, 2173, 777, 941, 9916, 1210, 13849, 25566, 269, 20212, 941, 3379, 1210, 513, 512, 23150, 693, 1129, 328, 16667, 322, 766, 2157, 540, 623, 2999, 815, 271, 269, 4962, 610, 623, 2999, 815, 271, 269, 4905, 269, 0, 11514, 1464, 568, 851, 540, 513, 1480, 2783, 602, 666, 581, 4810, 676, 1022, 1268, 693, 930, 1448, 538, 1272, 267, 17303, 610, 18385, 269, 898, 568, 606, 22597, 2165, 8720, 1585, 2010, 540, 2168, 23043, 267, 2534, 7687, 267, 543, 7589, 9993, 269, 589, 1268, 666, 581, 2808, 547, 723, 513, 9659, 952, 543, 950, 1010, 17017, 2773, 1282, 2238, 568, 3908, 538, 2470, 267, 1599, 267, 610, 2298, 269, 901, 1522, 1331, 2168, 610, 7214, 9659, 610, 20159, 538, 7900, 2238, 610, 5107, 4397, 540, 2043, 1369, 741, 8912, 1604, 269, 9747, 267, 519, 3390, 540, 9659, 9846, 12211, 547, 1480, 15683, 543, 10014, 538, 2486, 563, 763, 2622, 2657, 9257, 630, 21766, 264, 543, 519, 2622, 7813, 630, 310, 289, 264, 6059, 602, 1472, 476, 272, 5479, 630, 1428, 8472, 540, 519, 2518, 2551, 4867, 2661, 609, 930, 1106, 540, 9659, 267, 543, 827, 476, 3199, 260, 540, 873, 2661, 538, 3384, 2477, 1141, 14317, 2533, 616, 4057, 610, 1875, 7721, 11962, 269, 1452, 2338, 616, 2810, 1813, 547, 2551, 2208, 267, 812, 13402, 543, 2067, 12469, 267, 2112, 267, 10913, 543, 30333, 563, 22033, 17640, 547, 519, 8167, 540, 7606, 609, 9124, 630, 303, 342, 17762, 264, 538, 18629, 568, 3810, 27929, 610, 3006, 22801, 543, 30137, 269, 1280, 1383, 267, 1759, 593, 519, 476, 1220, 278, 15510, 543, 24184, 17227, 267, 15337, 1014, 6239, 18926, 16958, 630, 1220, 278, 264, 4080, 602, 972, 941, 1447, 982, 476, 272, 2929, 15337, 2103, 609, 930, 1106, 540, 9659, 1775, 4318, 269, 476, 272, 269, 273, 260, 1547, 17957, 267, 14959, 779, 2622, 26225, 7797, 630, 1001, 272, 264, 6920, 602, 519, 3084, 9860, 540, 9659, 538, 18629, 568, 1472, 476, 1704, 260, 4586, 8601, 29927, 543, 32475, 538, 519, 3332, 543, 5359, 593, 9659, 1344, 543, 7194, 538, 18629, 267, 10688, 267, 3308, 543, 6217, 15717, 723, 1044, 4080, 607, 519, 1283, 31644, 1034, 11342, 3029, 540, 9124, 267, 538, 602, 1931, 1547, 901, 9860, 814, 849, 1044, 4080, 547, 581, 519, 1482, 538, 3345, 717, 1180, 541, 8556, 13577, 18630, 540, 519, 2549, 327, 4673, 2817, 13636, 3557, 630, 3198, 11965, 1070, 18629, 1496, 277, 267, 476, 278, 14073, 23220, 7627, 8537, 543, 4264, 1646, 3340, 9427, 519, 7496, 547, 623, 342, 17762, 685, 10014, 543, 7589, 538, 741, 2146, 685, 2729, 269, 623, 342, 17762, 1058, 581, 2111, 547, 2972, 3160, 3255, 547, 18375, 543, 7694, 607, 1134, 607, 1569, 547, 1072, 543, 824, 2533, 269, 769, 2487, 1296, 267, 3084, 543, 2518, 11051, 723, 14593, 519, 3390, 540, 9659, 547, 519, 4099, 543, 4395, 540, 4507, 267, 1982, 532, 543, 3028, 11865, 547, 2327, 602, 623, 342, 17762, 2972, 519, 1482, 2924, 543, 1569, 547, 3255, 607, 824, 4961, 1496, 279, 1700, 1015, 14073, 763, 3123, 543, 5222, 540, 9659, 616, 3875, 543, 1950, 269, 1717, 267, 621, 568, 10423, 602, 519, 2101, 3123, 540, 9659, 538, 4000, 616, 3868, 762, 3676, 267, 2112, 267, 10913, 267, 543, 16283, 27514, 543, 30564, 1072, 1416, 2533, 269, 5525, 593, 519, 11782, 723, 1631, 3964, 602, 1082, 2665, 540, 9124, 616, 9244, 5532, 547, 6710, 267, 4057, 6484, 543, 11658, 1569, 547, 2596, 2533, 971, 607, 1072, 543, 18375, 1547, 1452, 2188, 616, 849, 4143, 547, 519, 15337, 1014, 2796, 1141, 519, 1592, 540, 3123, 270, 2399, 832, 1331, 1970, 3044, 540, 2713, 267, 22926, 267, 2067, 543, 812, 13402, 12469, 267, 10913, 267, 11763, 543, 1875, 29795, 1190, 3676, 267, 26740, 10617, 543, 5208, 1496, 277, 267, 476, 1556, 14073, 27078, 894, 10182, 2509, 543, 8305, 19685, 540, 623, 342, 17762, 723, 18808, 5458, 9514, 338, 547, 741, 1582, 12635, 543, 1514, 7589, 267, 799, 2333, 741, 21341, 543, 6848, 17181, 1547, 1809, 623, 342, 17762, 798, 711, 1118, 909, 513, 4630, 18100, 1895, 269, 623, 342, 17762, 13054, 2021, 267, 1453, 267, 2192, 3438, 919, 267, 32014, 267, 3092, 269, 543, 741, 2833, 1223, 581, 4956, 569, 2189, 269, 901, 10522, 602, 2146, 10182, 2509, 9659, 3648, 12346, 593, 543, 9775, 676, 9659, 1826, 267, 2085, 267, 4008, 267, 1377, 540, 2069, 267, 543, 7694, 4567, 540, 623, 342, 17762, 1547, 769, 18629, 267, 827, 476, 5379, 260, 540, 623, 342, 17762, 616, 2021, 476, 543, 789, 267, 585, 3236, 267, 4163, 519, 5595, 11411, 540, 11475, 267, 7130, 543, 2804, 2591, 2404, 609, 1373, 2021, 543, 1268, 609, 9659, 269, 6520, 568, 849, 513, 3815, 17929, 1453, 609, 9124, 630, 290, 342, 17762, 264, 616, 1447, 2693, 547, 7390, 18375, 610, 1569, 3782, 2533, 6028, 873, 7925, 547, 6710, 543, 4057, 1072, 602, 15186, 2569, 741, 2298, 540, 1272, 1496, 1428, 267, 476, 1626, 4940, 1306, 513, 1895, 267, 1510, 896, 2452, 532, 7648, 1369, 267, 623, 342, 17762, 616, 1869, 1851, 519, 1034, 27797, 10126, 540, 519, 2486, 563, 4415, 1007, 543, 6932, 812, 13402, 543, 2067, 9659, 16151, 2188, 2404, 609, 3395, 32144, 687, 543, 10618, 602, 1921, 519, 2199, 609, 519, 2518, 267, 14942, 3800, 971, 607, 9659, 13178, 568, 2556, 547, 3950, 543, 4983, 3466, 936, 942, 827, 519, 2175, 540, 623, 342, 17762, 547, 1217, 4143, 3609, 3664, 543, 6765, 540, 1514, 268, 543, 3782, 268, 2533, 269, 26225, 13178, 568, 513, 3730, 7271, 547, 2445, 543, 1683, 12170, 543, 6325, 1239, 547, 2697, 2115, 267, 1305, 14422, 267, 21138, 2200, 543, 1374, 2500, 7459, 547, 2743, 519, 2591, 540, 623, 342, 17762, 269, 1635, 3257, 865, 267, 621, 786, 3565, 547, 28043, 519, 4540, 1702, 7934, 593, 9659, 1107, 922, 9588, 267, 2010, 267, 2360, 267, 3466, 267, 3092, 269, 1107, 538, 18629, 563, 4910, 792, 2583, 723, 13006, 519, 7294, 2078, 1063, 9659, 543, 922, 1514, 543, 1072, 4093, 267, 543, 875, 519, 11865, 540, 1279, 3856, 4948, 1416, 585, 623, 342, 17762, 568, 4742, 513, 2101, 1857, 1072, 1966, 2523, 585, 3384, 2477, 1141, 2200, 267, 11727, 10986, 543, 14317, 7740, 543, 2533, 616, 1360, 3908, 269, 898, 568, 1996, 713, 20457, 602, 2160, 540, 717, 1180, 541, 630, 308, 334, 294, 264, 9250, 519, 667, 629, 520, 2657, 24028, 11462, 3590, 630, 291, 295, 7704, 264, 538, 476, 1960, 276, 547, 2445, 267, 6896, 543, 22412, 622, 2834, 543, 909, 3562, 15082, 1344, 593, 519, 1072, 2175, 540, 519, 2551, 630, 10175, 623, 342, 17762, 264, 538, 667, 629, 520, 8664, 269, 901, 2376, 568, 1759, 593, 519, 2079, 543, 7664, 540, 1239, 10356 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 288, 3220, 636, 24583, 3000, 344, 585, 16458, 661, 24346, 543, 24497, 839, 454, 3528, 7581, 268, 8712, 630, 7804, 269, 3627, 6925, 21696, 23765, 994, 763, 6049, 678, 836, 269, 898, 729, 681, 2135, 22828, 269, 968, 297, 820, 267, 594, 1175, 7166, 606, 23914, 6100, 968, 3383, 267, 681, 2135, 22828, 267, 1946, 5889, 23717, 323, 596, 798, 602, 9495, 968, 3963, 286, 4208, 286, 1548, 798, 596, 1611, 267, 1946, 286, 2701, 24363, 909, 538, 4395, 540, 1250, 14903, 267, 602, 5889, 23717, 338, 1946, 28461, 3086, 267, 986, 1597, 12641, 534, 1004, 2161, 32608, 616, 811, 15626, 982, 5100, 267, 855, 594, 15991, 2479, 4862, 540, 606, 23914, 10760, 909, 538, 4395, 540, 513, 4584, 1575, 14903, 269, 5295, 3515, 267, 711, 4584, 5725, 267, 2356, 1205, 873, 563, 2108, 3383, 1547, 1547, 1547, 1141, 568, 1352, 1631, 9495, 968, 1103, 519, 1394, 540, 1250, 4584, 1575, 269, 594, 729, 593, 1250, 1259, 547, 10348, 23770, 4975, 6100, 968, 8489, 616, 596, 6288, 539, 9495, 968, 1103, 4395, 540, 519, 13962, 269, 1411, 917, 267, 519, 7256, 681, 13273, 907, 9731, 288, 1546, 515, 685, 10247, 630, 291, 5300, 264, 689, 31671, 537, 4802, 6816, 454, 3528, 21142, 4856, 6798, 699, 543, 25288, 645, 269, 29928, 454, 9824, 8271, 1906, 27120, 689, 519, 4279, 20463, 3148, 723, 1044, 12873, 538, 9754, 10070, 267, 7654, 1317, 7087, 1004, 941, 26997, 547, 851, 609, 3615, 602, 5129, 971, 1271, 5107, 538, 2792, 1063, 1480, 7919, 543, 519, 812, 18480, 690, 610, 14326, 269, 2290, 540, 519, 811, 4277, 27120, 602, 814, 2097, 1524, 547, 721, 689, 519, 22733, 543, 13524, 5553, 568, 2221, 538, 5507, 779, 3703, 7467, 267, 1141, 621, 568, 17048, 4240, 607, 6599, 7224, 476, 20969, 275, 563, 15899, 532, 3683, 519, 769, 6665, 1043, 7412, 454, 3528, 30323, 320, 1127, 594, 664, 29928, 454, 3080, 812, 779, 2123, 1995, 538, 11836, 2757, 7087, 543, 7262, 7574, 3029, 563, 30943, 3220, 4548, 769, 634, 12745, 540, 2622, 29698, 454, 3528, 4432, 12578, 3223, 650, 528, 454, 763, 7574, 7405, 602, 3689, 24447, 685, 4529, 1369, 4516, 2919, 689, 519, 2067, 2326, 693, 1688, 1419, 7703, 10486, 538, 1106, 547, 1346, 2919, 11992, 538, 519, 1158, 269, 769, 1082, 2665, 267, 1498, 267, 519, 7087, 9082, 540, 4516, 2813, 2189, 7405, 547, 2769, 741, 2123, 2115, 543, 547, 5968, 609, 782, 5137, 269, 901, 1557, 13713, 12116, 1455, 8017, 540, 13513, 543, 6165, 607, 1134, 607, 2189, 8747, 540, 3689, 24447, 685, 27120, 267, 824, 25576, 1380, 633, 7405, 267, 2842, 543, 5569, 18563, 269, 0, 17442, 684, 3481, 593, 476, 273, 526, 5239, 267, 476, 3192, 276, 267, 519, 21091, 4132, 4886, 7896, 630, 2975, 9169, 264, 30868, 568, 835, 540, 519, 17514, 1222, 15961, 540, 519, 6554, 540, 3127, 543, 4564, 835, 540, 519, 1158, 779, 4102, 543, 2189, 15961, 585, 2038, 6689, 543, 14774, 1416, 563, 19686, 281, 589, 3444, 3296, 531, 1353, 729, 5342, 538, 14780, 760, 584, 8643, 3625, 630, 18850, 7754, 577, 330, 3121, 264, 476, 275, 4281, 2021, 18689, 25808, 941, 26906, 1210, 5910, 6479, 26830, 563, 4910, 738, 281, 769, 14780, 760, 584, 8643, 3625, 594, 7374, 306, 568, 1134, 7608, 607, 513, 10304, 1982, 676, 519, 2146, 269, 11683, 640, 540, 18689, 25808, 941, 3222, 827, 543, 849, 941, 9001, 1034, 540, 519, 3670, 15004, 540, 2533, 3177, 676, 594, 7374, 306, 269, 634, 1034, 11807, 2533, 941, 31331, 543, 9251, 2069, 609, 4656, 4882, 15384, 8351, 811, 982, 476, 3445, 18336, 6962, 281, 6356, 4369, 540, 594, 7374, 306, 666, 581, 4824, 676, 2810, 4656, 827, 930, 540, 922, 2533, 543, 2523, 676, 2442, 1944, 2657, 543, 6484, 2069, 269, 0, 18550, 476, 1015, 267, 476, 1001, 277, 476, 5881, 281, 6795, 676, 32414, 454, 14399, 616, 2760, 1932, 1762, 547, 1847, 543, 1451, 827, 1018, 741, 4703, 616, 5827, 540, 3257, 269, 769, 1931, 547, 2196, 267, 7914, 267, 12235, 267, 543, 7544, 950, 789, 2461, 4587, 267, 12256, 723, 547, 1376, 3384, 543, 13215, 3666, 267, 11558, 267, 1434, 14302, 267, 543, 824, 2168, 1983, 602, 786, 4196, 607, 519, 5748, 585, 519, 811, 4359, 2168, 1983, 789, 1020, 2663, 538, 1272, 269, 769, 18964, 8447, 11314, 538, 5606, 1218, 267, 19378, 9995, 619, 267, 3798, 291, 267, 11828, 519, 2956, 540, 2168, 2534, 585, 12256, 267, 875, 596, 666, 1711, 519, 1655, 1604, 585, 2168, 2534, 267, 543, 2488, 513, 3099, 540, 4388, 593, 875, 596, 666, 1205, 2370, 4703, 3001, 269, 3371, 616, 1175, 513, 1906, 540, 519, 4388, 646, 8843, 912, 289, 9500, 547, 9050, 3933, 2195, 454, 268, 3683, 3650, 7591, 21859, 916, 1107, 3629, 3395, 12256, 609, 606, 16841, 1404, 15547, 789, 666, 946, 269, 1306, 1453, 12701, 543, 3914, 585, 606, 1843, 16304, 689, 519, 1404, 15547, 267, 789, 1020, 543, 7794, 6091, 538, 519, 1394, 543, 17525, 563, 268, 645, 5390, 2193, 918, 6506, 1107, 5606, 1218, 2253, 737, 10107, 741, 3952, 693, 1472, 1079, 547, 1614, 3275, 540, 2085, 269, 6875, 5413, 540, 713, 2067, 3350, 543, 948, 873, 7794, 741, 7953, 676, 9900, 3001, 12256, 685, 3952, 1394, 543, 8521, 538, 513, 17919, 6438, 5163, 269, 2991, 513, 1906, 4374, 267, 12256, 1058, 2253, 7895, 2718, 930, 593, 741, 1378, 950, 596, 2482, 873, 593, 741, 1394, 563, 19177, 3933, 2195, 547, 20640, 3933, 2195, 454, 268, 29553, 5455, 267, 32379, 13560, 1107, 23063, 593, 519, 6989, 609, 707, 7953, 2786, 856, 538, 4395, 267, 543, 1747, 519, 10867, 593, 1010, 610, 1200, 1394, 267, 6849, 596, 267, 543, 17479, 1063, 707, 7953, 269, 20644, 707, 555, 29304, 585, 519, 10867, 547, 9787, 267, 543, 1287, 1747, 519, 1964, 540, 707, 11263, 1472, 519, 10867, 779, 2062, 15767, 543, 9900, 7485, 1864, 610, 1200, 909, 547, 513, 27939, 2990, 269, 4495, 596, 4076, 2944, 602, 267, 9900, 7903, 519, 10867, 1394, 1524, 267, 1210, 707, 7953, 607, 519, 31289, 585, 519, 1394, 540, 1010, 610, 1200, 2212, 269, 1411, 3580, 5469, 602, 12256, 786, 512, 3089, 741, 2212, 4464, 607, 789, 1694, 909, 267, 543, 1082, 786, 2119, 547, 1796, 952, 596, 3136, 547, 9900, 7485, 593, 519, 1259, 909, 563, 268, 918, 10107, 17121, 1811, 1107, 1306, 1453, 1935, 5216, 3275, 540, 2085, 267, 1082, 540, 873, 786, 581, 17444, 2933, 909, 547, 1796, 543, 8066, 5196, 513, 865, 17304, 610, 2110, 3349, 585, 1489, 269, 1879, 12256, 616, 8066, 5196, 519, 11647, 267, 1747, 513, 1507, 3440, 630, 325, 27961, 610, 12285, 264, 1985, 547, 741, 3952, 269, 5753, 949, 14736, 519, 3440, 8009, 569, 693, 1101, 267, 855, 952, 596, 3136, 547, 2322, 621, 1985, 547, 741, 3952, 267, 789, 786, 4137, 856, 602, 789, 666, 6318, 741, 3952, 547, 14736, 519, 3440, 593, 3483, 563, 292, 697, 3933, 2195, 547, 2290, 5729, 454, 268, 17926, 779, 3689, 26861, 12386, 6092, 1107, 12338, 856, 1312, 7475, 540, 513, 4216, 547, 1106, 513, 15993, 267, 543, 723, 12256, 31770, 998, 519, 8574, 3118, 269, 1411, 666, 2322, 606, 10867, 779, 5172, 11442, 693, 519, 824, 1439, 540, 519, 15993, 952, 789, 991, 19015, 563, 268, 14265, 2358, 1107, 5776, 12256, 1985, 547, 513, 865, 17304, 610, 2110, 3349, 269, 5620, 873, 3180, 5196, 519, 11647, 609, 835, 1688, 543, 3180, 707, 1688, 538, 519, 824, 585, 3666, 269, 20405, 569, 1847, 1394, 543, 8521, 2059, 519, 11647, 547, 948, 12256, 2259, 6972, 269, 1358, 786, 5555, 1577, 979, 540, 707, 1688, 543, 2259, 6972, 593, 741, 1378, 563, 21886, 15758, 12256, 547, 581, 9308, 3742, 786, 948, 873, 723, 519, 4098, 1983, 789, 991, 547, 1291, 513, 2635, 6197, 543, 3251, 9308, 3742, 607, 789, 1332, 4587, 269, 25873, 519, 15765, 7591, 7121, 538, 519, 23862, 543, 25595, 2401, 5516, 3296, 540, 938, 3896, 585, 513, 3099, 540, 2326, 596, 666, 946, 547, 5000, 2168, 2534, 538, 12256, 269, 2142, 2386, 547, 2638, 1394, 593, 519, 18087, 17839, 18248, 585, 851, 1079, 540, 938, 1614, 12268, 5192, 8866, 25021, 5816, 3126, 256, 0, 763, 3486, 991, 585, 7924, 1382, 568, 607, 1164, 607, 2479, 267, 607, 7924, 1983, 4196, 607, 513, 5748, 547, 1565, 269, 1715, 1382, 538, 7924, 1590, 2232, 3905, 3584, 268, 930, 540, 799, 723, 3908, 5666, 540, 3105, 1382, 1247, 4509, 1164, 5232, 540, 14496, 267, 10727, 267, 543, 31675, 269, 17402, 3194, 267, 6657, 543, 16214, 786, 2232, 891, 4145, 609, 24526, 1382, 543, 15792, 14292, 2553, 563, 10376, 4320, 786, 2232, 513, 4207, 1888, 602, 568, 540, 1880, 2956, 971, 607, 8223, 267, 3210, 547, 6304, 267, 543, 4879, 1644, 547, 7924, 2069, 563, 2026, 1134, 607, 1373, 2139, 547, 4444, 538, 1367, 1820, 543, 552, 9248, 267, 782, 1382, 538, 713, 3126, 568, 2139, 3842, 9622, 12245, 6184, 697, 269, 10812, 17402, 3194, 267, 6657, 543, 16214, 593, 9622, 12245, 6184, 697, 0, 7468, 1550, 6723, 630, 338, 1222, 994, 297, 2794, 547, 12445, 30180, 547, 3406, 454, 15703, 8043, 723, 1044, 3957, 13584, 6723, 912, 268, 13584, 6723, 630, 11260, 271, 661, 2975, 6928, 264, 729, 9250, 693, 1546, 696, 5112, 269, 2701, 1500, 2185, 16831, 1137, 585, 519, 3703, 5101, 3127, 7577, 630, 292, 2975, 264, 1354, 1352, 729, 4421, 538, 476, 12293, 273, 585, 8840, 909, 563, 268, 13584, 6723, 630, 9965, 280, 6928, 264, 729, 9250, 593, 519, 5211, 774, 1868, 607, 513, 4639, 1473, 3554, 534, 269, 2701, 729, 513, 3560, 585, 519, 3703, 476, 9692, 276, 1700, 9692, 277, 16939, 547, 519, 12144, 269, 2701, 2663, 21775, 1063, 10430, 543, 6576, 267, 543, 10430, 543, 20563, 269, 2701, 729, 2063, 7396, 538, 476, 6977, 278, 267, 585, 513, 22194, 3028, 1272, 540, 476, 6924, 1296, 563, 268, 13584, 6723, 630, 5197, 277, 6928, 264, 729, 9250, 693, 681, 1278, 327, 30965, 269, 2701, 7620, 30774, 607, 513, 4639, 1473, 3554, 534, 269, 634, 3943, 9676, 543, 5950, 1200, 538, 5412, 476, 8687, 275, 269, 2701, 1287, 30774, 607, 513, 4639, 1473, 3554, 534, 1586, 267, 855, 2509, 519, 1439, 540, 519, 476, 9264, 271, 338, 3323, 22892, 547, 1715, 3162, 12986, 269, 769, 476, 8146, 275, 1352, 1500, 513, 22116, 896, 22497, 547, 519, 23747, 781, 7345, 7577, 269, 1703, 12898, 1352, 21775, 1063, 5507, 543, 20563, 267, 543, 729, 2063, 7396, 538, 476, 6977, 275, 563, 268, 13584, 6723, 630, 9264, 279, 6928, 264, 729, 3710, 693, 1715, 31069, 2390, 14977, 928, 269, 2701, 729, 606, 5101, 1473, 3554, 534, 267, 7620, 22892, 896, 513, 12689, 689, 519, 3703, 5101, 3127, 7577, 630, 292, 2975, 1040, 2701, 1500, 1079, 16831, 1137, 547, 3162, 5245, 267, 8876, 476, 1220, 2398, 11701, 11082, 593, 519, 1101, 269, 2701, 729, 20739, 22486, 538, 5147, 476, 7277, 272, 2282, 15173, 15158, 563, 268, 13584, 6723, 630, 8146, 271, 6928, 264, 729, 9250, 538, 476, 8146, 271, 693, 30290, 269, 769, 476, 8146, 278, 1352, 1500, 835, 22116, 24317, 20903, 338, 547, 1715, 3162, 12986, 267, 543, 835, 519, 1985, 1032, 24317, 13896, 547, 3162, 5245, 269, 2701, 729, 2063, 7396, 538, 476, 7277, 278, 563, 268, 9399, 13584, 6723, 729, 513, 9835, 2558, 6064, 2848, 4461, 1222, 9250, 538, 476, 4489, 271, 269, 2701, 543, 1200, 11078, 6928, 9399, 13584, 681, 10967, 339, 267, 3177, 18213, 3028, 2059, 519, 5032, 338, 540, 3703, 12052, 543, 14522, 2394, 476, 3707, 276, 269, 13584, 3619, 10235, 4718, 5618, 3028, 607, 513, 6413, 6928, 585, 519, 9576, 8225, 13108, 1282, 2622, 2782, 594, 269, 769, 476, 3707, 276, 519, 6928, 9575, 3595, 538, 519, 3771, 13118, 540, 918, 21255, 1731, 534, 267, 14522, 269, 634, 14616, 554, 592, 330, 729, 581, 3737, 593, 3400, 341, 2088, 6816, 1141, 621, 7283, 585, 519, 1985, 1906, 1296, 2394, 621, 729, 6287, 539, 547, 22208, 267, 6115, 543, 7745, 909, 585, 16150, 563, 268, 9399, 13584, 6723, 630, 3707, 278, 264, 729, 513, 18213, 6928, 3710, 585, 519, 8225, 2817, 6008, 4461, 1222, 7577, 267, 547, 533, 569, 519, 8905, 689, 26551, 267, 3703, 12052, 267, 547, 14913, 14522, 269, 769, 5181, 476, 4198, 271, 267, 13584, 6723, 2458, 3660, 609, 519, 8225, 7414, 9381, 561, 10719, 9399, 25905, 22186, 22220, 269, 634, 6928, 729, 4421, 538, 476, 3192, 277, 585, 946, 607, 513, 13735, 13962, 267, 543, 5293, 998, 519, 3946, 540, 1896, 1114, 5411, 269, 769, 5239, 476, 1960, 276, 1352, 9575, 3595, 693 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 513, 1507, 2197, 4700, 898, 5795, 596, 1312, 519, 18678, 3014, 8888, 13007, 540, 1744, 9528, 340, 631, 12011, 600, 9369, 543, 12449, 602, 2451, 519, 590, 3415, 3297, 269, 634, 8373, 267, 1498, 267, 729, 602, 899, 782, 931, 3421, 267, 519, 715, 5038, 2838, 513, 1804, 7641, 1305, 543, 513, 4452, 540, 12904, 269, 1703, 729, 2760, 513, 11741, 782, 2987, 14633, 4528, 602, 7471, 23641, 267, 4159, 267, 543, 10529, 538, 519, 1482, 10189, 267, 543, 602, 729, 1945, 1496, 300, 1783, 853, 23697, 12064, 316, 10423, 569, 2808, 547, 581, 513, 17847, 269, 589, 7008, 540, 5756, 3735, 267, 646, 779, 2813, 519, 782, 2987, 14633, 715, 23734, 334, 476, 5038, 27115, 602, 519, 3756, 9649, 2760, 1500, 538, 519, 11313, 3445, 338, 267, 543, 649, 2461, 18822, 2614, 547, 581, 2111, 547, 1491, 513, 1413, 693, 621, 563, 763, 4358, 1448, 585, 519, 1628, 568, 7357, 538, 12656, 1675, 267, 519, 7387, 540, 513, 3735, 268, 1960, 271, 338, 3281, 26698, 10911, 307, 6895, 269, 769, 519, 4395, 4422, 513, 15291, 4159, 8470, 609, 513, 6895, 7503, 4604, 267, 6028, 7899, 540, 2230, 3297, 585, 513, 6292, 540, 2407, 20695, 10529, 269, 2201, 1283, 540, 519, 10529, 18795, 513, 11953, 715, 5038, 267, 609, 519, 17120, 16788, 4547, 856, 547, 519, 4395, 8470, 2630, 519, 5496, 269, 898, 779, 711, 782, 27164, 1498, 267, 972, 568, 849, 606, 18074, 11085, 20303, 543, 606, 18074, 11085, 3977, 547, 5397, 513, 2413, 7641, 952, 5551, 269, 634, 715, 5038, 3294, 814, 606, 4277, 1394, 32143, 267, 621, 729, 1010, 3312, 23641, 689, 1394, 538, 519, 1554, 602, 5747, 1739, 513, 17500, 10880, 267, 543, 646, 4547, 621, 1394, 547, 1272, 5756, 2663, 1310, 930, 1382, 7000, 602, 519, 715, 5038, 13662, 308, 814, 513, 25146, 563, 25898, 606, 782, 538, 835, 11313, 5038, 723, 4421, 899, 3905, 25394, 538, 11313, 9032, 286, 31598, 267, 543, 649, 8910, 581, 10023, 782, 12204, 540, 554, 2931, 593, 873, 2221, 269, 1306, 621, 568, 267, 15409, 715, 5038, 338, 3100, 547, 4183, 1034, 1419, 1934, 269, 0, 10048, 1771, 6436, 616, 519, 9516, 4566, 540, 2359, 602, 1450, 721, 547, 917, 543, 1569, 6392, 269, 589, 2603, 540, 2359, 3889, 543, 10873, 723, 1044, 4824, 936, 519, 2063, 1906, 5756, 563, 2005, 568, 519, 1895, 540, 1455, 4808, 799, 1489, 519, 26933, 547, 1852, 513, 2754, 269, 5004, 6436, 799, 616, 849, 1572, 3690, 716, 1308, 6436, 3077, 519, 2460, 540, 1852, 267, 23454, 267, 543, 16542, 269, 28636, 616, 513, 1476, 11970, 547, 3391, 4600, 547, 7561, 12314, 547, 519, 2754, 6859, 543, 14892, 11141, 2081, 547, 12492, 519, 1482, 563, 28095, 2359, 6436, 1489, 6392, 593, 513, 3060, 540, 8956, 543, 1427, 9084, 269, 15440, 658, 6436, 616, 3622, 8246, 538, 7694, 282, 950, 4600, 616, 26752, 267, 789, 616, 6976, 282, 950, 789, 616, 28336, 267, 789, 616, 22309, 610, 669, 770, 2989, 563, 5804, 7316, 519, 5004, 28636, 10836, 912, 26574, 2359, 543, 14502, 6184, 4026, 1890, 1291, 547, 2413, 2115, 585, 9013, 519, 7606, 543, 2409, 269, 1306, 3906, 1376, 547, 2087, 538, 7274, 543, 4070, 267, 2754, 25963, 24482, 1616, 26933, 547, 1291, 741, 4948, 3252, 269, 2776, 1027, 532, 519, 14502, 6184, 4026, 1890, 267, 1175, 930, 3549, 543, 2533, 991, 5004, 6436, 269, 22353, 267, 519, 2359, 1184, 2968, 513, 1390, 7214, 2079, 538, 519, 2079, 540, 519, 13055, 563, 10048, 1771, 6436, 1646, 912, 4407, 519, 1985, 7121, 949, 1683, 519, 2596, 5013, 3297, 519, 2250, 2621, 540, 1585, 5686, 540, 2359, 6436, 267, 621, 568, 1898, 547, 723, 513, 2556, 829, 21082, 607, 547, 1018, 779, 519, 2601, 519, 2359, 3069, 568, 606, 1898, 543, 5499, 1523, 269, 634, 14502, 6184, 4026, 1890, 568, 593, 519, 2357, 613, 540, 2359, 3069, 269, 634, 14502, 6184, 4026, 1890, 1500, 513, 8049, 27327, 538, 519, 2038, 476, 5002, 271, 338, 547, 519, 1747, 540, 960, 543, 2141, 4957, 519, 2619, 540, 519, 3919, 779, 1599, 563, 763, 11633, 7169, 1500, 11108, 543, 2656, 2029, 17019, 3906, 547, 9585, 811, 3927, 543, 1683, 873, 519, 12588, 547, 3927, 1020, 741, 2504, 269, 7102, 6011, 267, 2919, 2504, 5921, 7864, 3790, 602, 941, 6659, 267, 799, 13394, 583, 1947, 2877, 513, 2603, 540, 4600, 269, 20871, 602, 5892, 1185, 1079, 18797, 4600, 941, 27057, 2810, 883, 606, 11999, 1870, 269, 4495, 621, 729, 12492, 762, 585, 519, 8227, 547, 1174, 1169, 11832, 538, 606, 15754, 622, 1259, 269, 1677, 3914, 519, 4161, 267, 10721, 2359, 2115, 547, 26924, 741, 4600, 616, 2500, 563, 4407, 2504, 9072, 786, 581, 6378, 3274, 267, 9013, 513, 1895, 547, 3914, 2504, 9072, 729, 711, 1360, 2653, 269, 1280, 606, 3355, 942, 267, 16984, 991, 547, 2697, 4195, 543, 4207, 2409, 547, 8300, 513, 1804, 1297, 540, 4600, 547, 1599, 269, 1306, 621, 729, 513, 2413, 2856, 267, 2079, 267, 22987, 267, 13753, 267, 543, 8097, 1935, 941, 3388, 8246, 547, 2697, 2413, 543, 2500, 2409, 547, 6023, 4600, 269, 634, 11633, 7169, 814, 5189, 1114, 2359, 6436, 543, 2093, 267, 513, 2603, 540, 799, 616, 1631, 3617, 543, 1271, 538, 519, 1459, 4074, 3196, 269, 3973, 267, 513, 2603, 540, 2359, 6436, 723, 4824, 693, 519, 1283, 540, 519, 14502, 6184, 4026, 1890, 607, 519, 2146, 4422, 593, 547, 3356, 269, 5272, 2359, 3069, 15824, 513, 1915, 538, 519, 1007, 2359, 3069, 543, 538, 1018, 1259, 621, 568, 5645, 856, 563, 10048, 1771, 6436, 2010, 912, 4322, 6436, 666, 581, 19040, 883, 1614, 5686, 799, 616, 3989, 2630, 563, 268, 7201, 26061, 5004, 7869, 454, 268, 4317, 5004, 7869, 454, 268, 7073, 5004, 7869, 454, 268, 7201, 26061, 2359, 3069, 912, 1607, 568, 8200, 593, 519, 1523, 602, 5520, 1175, 2270, 8101, 2883, 4170, 543, 11887, 519, 6791, 540, 519, 11832, 269, 18190, 2359, 3069, 9516, 7471, 7245, 543, 3903, 2921, 543, 6098, 2744, 1646, 269, 7201, 26061, 2359, 3069, 3568, 1614, 12535, 789, 616, 1107, 10029, 630, 2171, 828, 1070, 15440, 658, 3590, 630, 293, 599, 565, 1070, 543, 21885, 5004, 630, 307, 11336, 1916, 268, 4317, 5004, 3069, 912, 1607, 3069, 568, 6098, 693, 1367, 2934, 540, 519, 4305, 269, 4746, 267, 789, 616, 3622, 11911, 547, 519, 4720, 540, 1480, 11558, 269, 1452, 2010, 540, 6436, 11654, 547, 10536, 513, 1134, 6616, 540, 606, 1367, 779, 3527, 693, 519, 2754, 547, 1020, 12680, 269, 898, 9072, 8965, 2934, 899, 19015, 267, 6735, 267, 4978, 267, 543, 2319, 6411, 563, 268, 7073, 2359, 3069, 912, 1607, 3069, 6920, 519, 6165, 540, 3608, 6310, 2409, 547, 6218, 543, 917, 519, 17356, 540, 7245, 543, 5520, 538, 1169, 1106, 269, 7073, 2359, 6436, 2270, 1614, 12535, 789, 616, 1107, 31056, 13979, 267, 8416, 13979, 267, 543, 7926, 7081, 13979, 563, 3519, 1154, 1890, 3069, 281, 898, 31234, 602, 9946, 1590, 1491, 883, 2272, 782, 3344, 540, 519, 1699, 3510, 543, 1685, 9935, 593, 519, 2934, 799, 616, 1271, 547, 519, 3510, 693, 519, 942, 540, 1818, 3664, 269, 26023, 267, 621, 779, 519, 1935, 602, 29808, 519, 16984, 827, 741, 2324, 2511, 1759, 593, 519, 2175, 563, 21902, 1935, 281, 901, 7457, 547, 6392, 4941, 547, 581, 7059, 1851, 519, 7494, 7493, 11660, 13979, 543, 13948, 6098, 5274, 12754, 1569, 269, 769, 519, 1062, 1935, 267, 1169, 3693, 540, 513, 2754, 568, 9763, 607, 513, 5057, 540, 513, 3152, 1062, 269, 1280, 713, 267, 649, 1616, 547, 917, 519, 7121, 543, 7245, 15824, 538, 519, 2347, 1062, 563, 1103, 519, 1032, 476, 3422, 271, 267, 2413, 1569, 547, 2359, 21256, 799, 568, 3622, 1572, 519, 2048, 21902, 338, 13979, 9957, 901, 13290, 547, 19467, 519, 4505, 2081, 540, 25127, 269, 634, 1062, 1935, 568, 6462, 676, 18039, 808, 269, 26673, 3205, 267, 654, 269, 21207, 2917, 267, 543, 808, 6185, 269, 16399, 563, 5445, 1413, 693, 519, 2754, 607, 513, 2067, 543, 1863, 3060, 267, 5627, 23712, 543, 8994, 3334, 799, 616, 1634, 607, 1016, 17882, 338, 269, 901, 1062, 1935, 26342, 7245, 607, 513, 3060, 610, 968, 320, 13387, 4625, 892, 602, 1138, 12885, 1016, 17882, 338, 15849, 23624, 883, 513, 1895, 563, 288, 1360, 1898, 1909, 568, 602, 621, 568, 27648, 540, 513, 1016, 17882, 1931, 269, 8409, 616, 519, 3334, 1818, 513, 2462, 1062, 543, 1866, 269, 1280, 14745, 267, 519, 3618, 786, 581, 5462, 547, 581, 513, 3060, 538, 799, 1114, 18497, 12424, 687, 616, 1016, 17882, 338, 563, 2419, 320, 657, 3069, 281, 634, 14784, 3069, 14439, 602, 17216, 6381, 616, 15991, 7307, 269, 17667, 1949, 616, 3144, 883, 7156, 693, 519, 942, 540, 7713, 519, 14784, 3069, 269, 769, 741, 4555, 267, 1949, 616, 8476, 1360, 2352, 569, 543, 991, 3152, 1379, 547, 1852, 7411, 269, 2311, 519, 942, 1379, 568, 23762, 267, 789, 1246, 513, 1062, 547, 1852, 4222, 269, 1358, 2015, 602, 519, 11144, 949, 979, 593, 607, 2484, 607, 519, 1062, 17337, 267, 12388, 525, 609, 1585, 3060, 1949, 267, 610, 4625, 8813, 11735, 563, 763, 1198, 540, 1169, 1689, 538, 519, 1644, 1858, 568, 5433, 693, 519, 942, 621, 568, 9859, 543, 9916, 7561, 547, 3605, 922, 31675, 269, 19452, 267, 519, 4324, 540, 7869, 538, 2359, 568, 9228, 543, 12913, 693, 519, 942, 621, 568, 6069, 2866, 2337, 519, 3549, 585, 741, 15006, 543, 1646, 563, 12218, 673, 5004, 6436, 912, 272, 2529, 2615, 881, 3069, 538, 2359, 912, 763, 3621, 2359, 3069, 540, 13177, 779, 6212, 593, 3384, 2883, 1198, 2032, 267, 14311, 11832, 12680, 269, 13177, 3568, 513, 2312, 19773, 3823, 1018, 26182, 513, 1268, 693, 519, 1747, 540, 960, 1107, 8569, 269, 13177, 5433, 602, 5520, 1590, 1205, 1697, 8569, 585, 1697, 960, 267, 543, 602, 8569, 1590, 581, 4448, 547, 519, 6708, 7768, 269, 1306, 513, 1267, 267, 13177, 4843, 519, 1062, 540, 11186, 4062, 2557, 267, 540, 4758, 23269, 547, 519, 5520, 563, 17843, 658, 4062, 268, 3433, 1544, 540, 13177, 912, 268, 1403, 6356, 4369, 568, 3677, 982, 519, 6719, 2268, 1287, 5520, 1590, 581, 2016, 476, 6344, 260, 540, 519, 8617, 623, 19991, 15580, 563, 268, 1403, 6356, 4369, 568, 2539, 982, 519, 6719, 2268, 1287, 5520, 1590, 581, 2016, 476, 3199, 260, 540, 519, 8617, 623, 19991, 15580, 563, 26199, 2359, 4441, 912, 268, 5384, 543, 1353, 540, 2962, 281, 1107, 6258, 519, 1184, 1568, 616, 5645, 856, 543, 2697, 2413, 2409, 547, 1118, 873, 563, 268, 3213, 778, 267, 4051, 543, 2087, 519, 11832, 609, 513, 6963, 539, 1184, 540, 1818, 4247, 269, 5681, 3405, 1047, 519, 2413, 3157, 883, 3652, 563, 268, 634, 4145, 540, 519, 11832, 543, 4600, 1590, 581, 4625, 14661, 547, 2149, 24973, 1620, 11558, 1851, 873, 563, 268, 5590, 909, 1697, 3800, 540, 2962, 543, 22771, 585, 519, 3152, 960, 563, 273, 269, 27943, 2359, 3069, 912, 763, 12429, 540, 5004, 568, 28741, 674, 599, 565, 267, 945, 4847, 519, 476, 1691, 5004, 3741, 269, 1452, 5004, 3741, 616, 8246, 547, 1852, 513, 2754, 543, 616, 25368, 585, 23567, 267, 24152, 267, 15668, 267, 2754, 543, 5650, 7245, 267, 543, 2359, 563, 268, 19457, 540, 4247, 281, 3763, 338, 12680, 267, 7145, 267, 22979, 267, 543, 2656, 1145, 454, 268, 1955, 14783, 640, 281, 20709, 1590, 581, 2808, 14961, 543, 1135, 7019, 454, 268, 2598, 23002, 281, 22553, 519, 960, 540, 606, 23070, 2241, 543, 1118, 2087, 454, 268, 15557, 281, 6435, 543, 7794, 4600, 676, 2921, 5718, 454, 268, 5295, 543, 15668, 281, 13229, 931, 9892, 540, 4305, 609, 6719, 15668, 454, 268, 6828, 6891, 281, 3356, 5132, 543, 1455, 1620, 454, 268, 634, 1641, 542, 540, 2123, 1719, 281, 8081, 936, 741, 1378, 4145, 543, 5660, 519, 5832, 540, 8060, 454, 268, 3213, 1127, 542, 281, 3629, 960, 7834, 547, 741, 4600, 454, 268, 32237, 281, 18398, 3693, 4448, 547, 513, 1268, 779, 1568, 454, 268, 634, 8699, 540, 4287, 281, 2136, 9072, 543, 5301, 585, 1169, 9441, 2324, 538, 606, 3919, 454, 268, 1133, 2305, 281, 18696, 1851, 519, 1931, 543, 1379, 6498, 454, 268, 2480, 531, 541, 5832, 281, 634, 1931, 1590, 581, 689, 5207, 547, 519, 5377, 454, 268, 634, 8699, 540, 3747, 281, 5565, 610, 811, 982, 1079, 9946, 2306, 513, 2603, 540, 10539, 454, 268, 11352, 281, 513, 1697, 1604, 538, 519, 1747, 540, 960, 4679, 12680, 454, 274, 269, 13163, 29386, 5004, 6436, 540, 7665, 1357, 619, 912, 2171, 828, 3710, 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 ]
[ 5767, 7403, 5815, 602, 621, 6013, 693, 513, 3845, 540, 930, 476, 2918, 476, 1822, 1769, 26188, 689, 3047, 267, 11093, 621, 2509, 519, 3544, 6316, 540, 519, 2961, 2088, 18700, 6186, 540, 519, 27305, 10158, 269, 634, 12440, 781, 3845, 814, 1044, 519, 1641, 540, 7920, 22987, 538, 519, 2250, 267, 607, 621, 568, 835, 540, 519, 6724, 2877, 547, 1174, 713, 10578, 1843, 269, 654, 6856, 331, 1495, 476, 273, 568, 1360, 1762, 1932, 267, 609, 606, 2085, 540, 1152, 476, 272, 1765, 273, 2929, 1296, 563, 28095, 7422, 723, 3254, 602, 1079, 6801, 547, 519, 5377, 1318, 540, 519, 12440, 616, 3020, 682, 12858, 987, 753, 269, 8625, 789, 1106, 1018, 568, 1634, 607, 513, 5595, 1062, 269, 634, 1079, 6801, 723, 13999, 540, 476, 11025, 543, 476, 10695, 2053, 602, 540, 938, 6129, 543, 17967, 1472, 1142, 824, 538, 5111, 476, 274, 269, 278, 2395, 269, 1358, 616, 10838, 519, 1034, 7372, 6801, 1634, 547, 19936, 563, 19547, 9229, 7422, 540, 713, 10578, 6292, 723, 849, 3254, 602, 789, 616, 1312, 16423, 7304, 599, 564, 6801, 269, 1452, 616, 7372, 6801, 683, 2130, 519, 1439, 540, 741, 2729, 267, 1163, 2454, 5318, 9424, 540, 1570, 607, 741, 3803, 2220, 753, 784, 269, 17325, 725, 1500, 538, 2473, 17530, 723, 13604, 3254, 602, 12535, 540, 1570, 689, 1142, 5182, 16111, 2458, 728, 267, 2870, 513, 1025, 10270, 540, 2473, 11920, 5982, 563, 763, 3239, 729, 5833, 609, 519, 22453, 12197, 1955, 4526, 630, 310, 293, 296, 264, 8254, 7923, 547, 519, 476, 273, 269, 273, 2173, 7665, 268, 23945, 1188, 270, 2464, 302, 16263, 693, 11536, 302, 781, 5487, 590, 8759, 2616, 2218, 3135, 538, 16266, 269, 28210, 693, 606, 15820, 540, 476, 13301, 271, 15432, 538, 519, 25545, 2311, 659, 4821, 19164, 267, 713, 2616, 2218, 18795, 896, 930, 540, 519, 1579, 11732, 543, 4158, 652, 22839, 593, 3047, 269, 634, 654, 293, 296, 608, 26118, 693, 4974, 519, 17439, 4554, 17909, 540, 519, 17807, 689, 713, 796, 337, 643, 6817, 642, 656, 720, 1448, 563, 25857, 686, 4425, 742, 514, 1923, 620, 17304, 454, 288, 7061, 3802, 540, 22726, 454, 2190, 269, 4962, 269, 1001, 278, 1923, 25840, 5336, 1314, 574, 559, 2103, 268, 26536, 28059, 654, 14660, 345, 7921, 454, 14722, 15974, 5348, 652, 807, 267, 513, 1007, 1826, 540, 19236, 1843, 454, 2537, 269, 4962, 269, 1001, 278, 1923, 2160, 540, 4993, 910, 16026, 454, 24357, 27913, 689, 519, 2160, 540, 654, 14660, 345, 7921, 616, 5827, 540, 10451, 9838, 3168, 2582, 1769, 5536, 693, 519, 7903, 540, 513, 7735, 269, 5565, 1007, 2090, 1631, 6542, 519, 1761, 713, 1505, 6585, 563, 763, 7061, 2780, 814, 8034, 8215, 519, 9345, 540, 3744, 585, 5756, 281, 898, 568, 1759, 593, 21739, 1114, 9259, 982, 513, 6671, 2780, 19601, 2304, 3486, 2319, 540, 21575, 814, 16913, 519, 22502, 7180, 540, 9211, 538, 513, 1875, 8410, 2265, 532, 1570, 538, 1483, 6066, 269, 4256, 4030, 1223, 581, 6225, 585, 2234, 23956, 563, 2171, 666, 3277, 547, 9211, 538, 1875, 8410, 2265, 532, 2326, 607, 2048, 338, 1663, 1375, 880, 9957, 15380, 267, 789, 2611, 6378, 538, 513, 4087, 267, 2620, 3330, 606, 10570, 12432, 269, 898, 568, 8754, 2483, 10521, 8820, 6419, 3889, 616, 9833, 607, 513, 9621, 1570, 585, 1007, 2010, 540, 1239, 4859, 267, 2094, 519, 6419, 3601, 540, 1367, 7636, 2679, 7161, 666, 581, 11567, 543, 9168, 269, 1280, 519, 1101, 942, 267, 3173, 723, 1631, 3812, 513, 530, 29195, 6253, 514, 7542, 3234, 24599, 267, 538, 799, 6675, 609, 1114, 6419, 7740, 6582, 2933, 593, 513, 4154, 2627, 547, 1106, 513, 2638, 518, 4580, 4806, 269, 12207, 693, 519, 18230, 15089, 657, 7220, 4659, 693, 519, 2160, 540, 30239, 543, 519, 6754, 2480, 615, 17243, 4659, 3370, 741, 4681, 538, 519, 4760, 7186, 18058, 563, 293, 518, 3234, 1725, 1115, 616, 7768, 540, 1079, 7740, 799, 616, 11275, 1242, 693, 1114, 9342, 543, 1448, 538, 15852, 8846, 269, 5565, 8820, 267, 29610, 22286, 520, 7542, 3234, 1725, 1115, 2483, 2304, 8241, 16644, 4042, 1382, 2319, 814, 2813, 519, 1158, 781, 555, 4883, 652, 554, 860, 1090, 267, 22338, 519, 1259, 2509, 519, 5610, 540, 476, 274, 291, 554, 860, 1429, 344, 883, 4948, 2483, 1103, 519, 5198, 547, 3132, 513, 7061, 2780, 267, 513, 1297, 540, 3785, 616, 5275, 513, 1259, 547, 1711, 7061, 11353, 4534, 610, 844, 23605, 4534, 602, 616, 7123, 267, 2495, 789, 616, 711, 1454, 4299, 676, 2242, 538, 741, 1604, 269, 901, 7363, 2115, 3810, 22357, 1875, 1673, 1170, 760, 894, 2609, 5827, 540, 8647, 693, 1360, 1970, 5210, 563, 1103, 13287, 540, 713, 3804, 267, 3173, 693, 21768, 14566, 781, 12524, 540, 7353, 9582, 543, 17747, 12763, 906, 700, 303, 304, 300, 630, 306, 2316, 13478, 289, 1070, 723, 11567, 513, 22357, 22130, 2861, 2483, 2537, 269, 4962, 269, 1001, 278, 1923, 7926, 5240, 454, 2420, 269, 4962, 269, 1001, 278, 1923, 7926, 5240, 454, 1704, 269, 4962, 269, 1001, 278, 1923, 7926, 5240, 454, 2190, 269, 4962, 269, 1001, 278, 1923, 3047, 7070, 454, 2190, 269, 4962, 269, 1001, 278, 1923, 5020, 7070, 454, 2190, 269, 4962, 269, 1001, 278, 1923, 5020, 7070, 0, 21270, 4345, 28591, 665, 14058, 267, 4639, 3979, 18637, 3019, 19274, 704, 630, 320, 264, 634, 13131, 14356, 593, 3043, 11406, 3724, 3033, 543, 630, 321, 264, 14356, 593, 21364, 14041, 2147, 547, 519, 2067, 7226, 563, 763, 4589, 2303, 602, 519, 2890, 1941, 3512, 566, 538, 6063, 23439, 3109, 4525, 540, 519, 18637, 3019, 19274, 704, 2960, 568, 2189, 538, 15315, 269, 23516, 6438, 2890, 560, 23461, 609, 1312, 6289, 528, 573, 2471, 543, 4552, 6438, 17560, 8527, 21310, 1734, 602, 14626, 728, 609, 3109, 2960, 32442, 723, 711, 1044, 5892, 4330, 269, 4033, 2818, 540, 519, 12593, 645, 4345, 723, 1447, 1950, 24725, 3270, 540, 2539, 2890, 27214, 4705, 15038, 609, 29365, 267, 513, 2497, 2147, 547, 602, 540, 519, 12779, 4525, 540, 18637, 3019, 19274, 704, 2960, 269, 1879, 519, 1382, 2319, 22862, 519, 10253, 689, 519, 12779, 4525, 540, 2960, 609, 4154, 1790, 718, 18123, 789, 3576, 593, 513, 17285, 5920, 269, 1809, 950, 519, 10253, 936, 519, 3109, 15649, 941, 22862, 519, 2681, 4334, 7283, 1317, 22862, 3109, 2127, 2611, 3109, 269, 4935, 267, 519, 2627, 3889, 540, 519, 3109, 10253, 729, 3743, 585, 519, 6063, 23439, 3109, 5920, 563, 763, 3003, 2376, 666, 581, 1336, 593, 11060, 563, 8967, 27903, 267, 918, 990, 1446, 341, 267, 717, 12643, 1299, 24380, 628, 4752, 269, 476, 1001, 274, 269, 31315, 6063, 23439, 3109, 281, 28762, 1105, 673, 2890, 543, 6289, 739, 4450, 10597, 4158, 7990, 566, 538, 645, 4345, 28591, 665, 14058, 269, 11660, 18614, 269, 5291, 2517, 11459, 269, 8742, 3820, 270, 1015, 269, 9818, 279, 4882, 10517, 26289, 5379, 0, 763, 1007, 3070, 568, 12863, 281, 513, 12432, 1570, 269, 634, 1114, 2326, 616, 711, 8806, 18921, 1540, 1927, 610, 27433, 267, 855, 6404, 538, 513, 2027, 1184, 547, 1106, 513, 2582, 1570, 269, 901, 1184, 7472, 513, 24267, 543, 5386, 2173, 525, 1117, 30788, 25801, 3060, 269, 634, 12432, 19299, 519, 5551, 3114, 6617, 543, 1970, 2597, 267, 13745, 609, 519, 5122, 543, 8143, 19428, 540, 8407, 269, 1306, 621, 786, 1100, 3476, 581, 2556, 538, 2104, 547, 11753, 4496, 5547, 12545, 543, 519, 3334, 786, 4166, 581, 2111, 547, 581, 3812, 538, 513, 2582, 960, 1900, 267, 519, 2504, 3790, 543, 519, 2597, 540, 519, 1570, 616, 20427, 4389, 563, 8505, 558, 9394, 543, 8484, 9755, 267, 538, 1880, 267, 786, 4324, 689, 713, 1646, 269, 634, 2212, 331, 2086, 4836, 902, 593, 513, 1286, 267, 585, 1383, 267, 616, 1500, 540, 5068, 269, 19402, 1631, 267, 5309, 3481, 4496, 9212, 723, 1044, 8704, 538, 1931, 547, 22113, 519, 2212, 4594, 1186, 269, 1403, 519, 4836, 902, 941, 19034, 609, 5547, 12545, 1500, 540, 519, 25801, 5068, 2173, 13926, 29528, 267, 789, 1223, 581, 3812, 811, 7561, 543, 693, 2539, 1942, 982, 2479, 1354, 269, 3509, 3334, 540, 606, 8484, 267, 971, 607, 519, 8034, 1088, 720, 267, 616, 14356, 1500, 540, 3327, 6775, 29322, 630, 290, 15598, 1040, 1717, 267, 789, 3668, 519, 2702, 547, 2932, 5201, 269, 589, 8482, 540, 17500, 1131, 723, 14603, 4539, 269, 589, 5068, 2173, 13926, 10316, 1131, 581, 513, 1434, 4244, 585, 11166, 3889, 593, 3334, 269, 0, 16158, 9094, 8675, 476, 4489, 274, 2228, 2139, 267, 1631, 849, 519, 5680, 9094, 887, 3553, 3279, 6905, 4528, 563, 12812, 1934, 547, 1569, 519, 1357, 9094, 8675, 476, 4489, 274, 543, 887, 3553, 3279, 4528, 2228, 563, 12812, 1934, 585, 3872, 4930, 454, 13563, 11595, 9218, 454, 763, 4065, 540, 9741, 10326, 454, 763, 4065, 540, 9741, 10326, 6645, 540, 513, 7911, 29152, 539, 1360, 1762, 267, 945, 568, 7550, 676, 1010, 31180, 20516, 543, 3368, 4211, 515, 28373, 22516, 538, 519, 29630, 1014, 10239, 540, 17906, 1282, 519, 4279, 12870, 31422, 28012, 10326, 892, 607, 1010, 22594, 1289, 1864, 568, 3254, 875, 547, 6968, 543, 7639, 538, 519, 10239, 267, 547, 2463, 2470, 538, 519, 31180, 10158, 267, 20965, 763, 2022, 634, 4065, 540, 9741, 10326, 7902, 1101, 593, 4065, 910, 19396, 910, 6478, 10632, 910, 20028, 1565, 563, 32552, 267, 2657, 267, 543, 12594, 538, 7216, 4065, 267, 476, 273, 292, 454, 5327, 11220, 585, 15637, 543, 3610, 538, 1126, 1416, 945, 1616, 547, 1683, 19993, 5054, 585, 1453, 543, 5000, 519, 1565, 267, 2208, 267, 543, 1134, 5630, 540, 1453, 538, 741, 1416, 267, 8881, 267, 12594, 543, 2657, 538, 4132, 5516, 12857, 543, 10953, 519, 2101, 3334, 540, 2298, 1126, 1416, 7790, 3106, 267, 1072, 267, 543, 6484, 269, 2755, 5466, 1271, 3584, 543, 20965, 763, 2022, 8881, 267, 2657, 267, 543, 12594, 538, 7216, 4065, 267, 476, 273, 292, 7902, 1101, 593, 4065, 910, 19396, 910, 6478, 10632, 910, 20028, 1565, 563, 763, 23448, 867, 2435, 4065, 540, 22956, 31409, 630, 763, 27405, 1190, 31409, 5980, 994, 6524, 972, 729, 513, 27405, 1190, 31409, 5980, 267, 972, 729, 3274, 513, 7911, 3957, 22956, 31409, 269, 20821, 519, 7911, 945, 3323, 621, 782, 2807, 301, 710, 4458, 6040, 22956, 31409, 814, 811, 2042, 982, 1034, 1453, 1010, 2085, 269, 3502, 1152, 568, 646, 606, 29152, 609, 606, 25031, 9224, 267, 855, 646, 849, 814, 562, 541, 1723, 548, 10043, 267, 513, 2783, 602, 3947, 1864, 15265, 3781, 2742, 637, 543, 20965, 763, 2022, 634, 23448, 867, 2435, 4065, 540, 22956, 31409, 630, 763, 27405, 1190, 31409, 5980, 264, 7902, 1101, 593, 4065, 910, 19396, 910, 6478, 10632, 910, 20028, 1565, 563, 8722, 601, 5174, 611, 4065, 281, 1656, 4033, 2552, 337, 4115, 10749, 593, 5753, 543, 3427, 532, 454, 21790, 19945, 2287, 1603, 593, 1018, 3214, 991, 689, 1153, 267, 689, 835, 540, 2069, 779, 1034, 856, 4944, 7505, 9739, 14803, 5224, 602, 938, 3506, 616, 4867, 538, 519, 17945, 540, 513, 968, 322, 738, 540, 22759, 892, 1765, 320, 10539, 540, 9875, 609, 1732, 602, 27938, 547, 536, 4314, 1312, 7772, 543, 6209, 7214, 14374, 689, 938, 13460, 1765, 2704, 325, 773, 918, 7897, 2152, 513, 28817, 1289, 547, 556, 20459, 20965, 763, 2022, 18461, 5174, 611, 4065, 281, 1656, 4033, 2552, 337, 4115, 10749, 593, 5753, 543, 3427, 532, 7902, 1101, 593, 4065, 910, 19396, 910, 6478, 10632, 910, 20028, 1565, 563, 30238, 3377, 689, 23968, 5622, 8551, 454, 306, 996, 6762, 779, 3237, 3717, 856, 1996, 2048, 12584, 701, 752, 2406, 16970, 685, 24242, 6436, 454, 288, 11739, 342, 540, 2487, 267, 4652, 15903, 2984, 827, 519, 2669, 540, 5449, 667, 10998, 5234, 518, 590, 996, 6762, 814, 3366, 1010, 3237, 547, 2328, 606, 1566, 24737, 18149, 940, 519, 16555, 563, 23871, 2794, 14767, 4708, 7903, 1310, 1412, 325, 656, 2880, 262, 28831, 12909, 454, 291, 10735, 11686, 12247, 539, 13723, 547, 946, 1010, 2475, 24164, 547, 3895, 2518, 4708, 1310, 5870, 15352, 14731, 267, 1354, 16144, 883, 513, 1164, 3613, 1389, 21895, 540, 519, 1158, 781, 7887, 4108, 19710, 269, 834, 295, 517, 528, 540, 513, 10715, 547, 2743, 3571, 4591, 1465, 15352, 14731, 2437, 513, 5182, 3613, 30638, 11686, 5206, 593, 12108, 1354, 6028, 7507, 585, 29761, 543, 519, 1985, 1850, 540, 1010, 1101, 18246, 7552, 607, 2475, 7022, 269, 834, 296, 4734, 519, 28912, 811, 5462, 982, 2479, 547, 11654, 18027, 19781, 538, 938, 1158, 2437, 519, 5479, 18311, 5449, 4641, 7641, 5182, 1767, 563 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 769, 9443, 849, 519, 9165, 568, 711, 3908, 269, 2575, 543, 7544, 269, 15946, 11819, 779, 18361, 540, 11061, 27014, 543, 10410, 6036, 281, 27014, 543, 15013, 616, 1360, 1455, 538, 2257, 20682, 269, 19929, 269, 634, 15013, 616, 6394, 543, 6740, 865, 602, 789, 616, 11593, 2139, 585, 1353, 5301, 269, 7756, 9877, 338, 901, 814, 1044, 5116, 593, 519, 476, 274, 6113, 6512, 540, 595, 821, 540, 2833, 269, 8497, 543, 2879, 858, 532, 616, 2944, 585, 13936, 543, 1353, 5301, 269, 1703, 616, 1082, 1919, 649, 3112, 7654, 1995, 693, 1101, 1688, 269, 5637, 616, 3407, 2833, 855, 7589, 568, 1454, 811, 6209, 543, 6251, 547, 4641, 982, 1152, 8384, 269, 4841, 540, 3119, 543, 1647, 5049, 7119, 538, 3621, 5559, 520, 2213, 957, 538, 3506, 563, 269, 543, 948, 547, 1020, 1983, 269, 1358, 666, 581, 1031, 547, 12172, 7493, 2093, 593, 519, 25879, 4580, 269, 1053, 957, 607, 1585, 19386, 2472, 543, 2491, 875, 789, 616, 4646, 543, 3351, 2213, 899, 5755, 269, 4256, 26350, 543, 632, 1067, 1080, 723, 1044, 5941, 693, 3259, 538, 519, 595, 821, 540, 2833, 789, 723, 1044, 5116, 593, 519, 8772, 6512, 689, 519, 3490, 1317, 621, 568, 9247, 513, 1184, 540, 11287, 269, 10991, 12285, 543, 5068, 3092, 269, 621, 3587, 1360, 1454, 6209, 269, 12793, 540, 8324, 543, 824, 3334, 540, 1426, 666, 849, 581, 6026, 998, 5559, 520, 5314, 269, 23227, 725, 616, 1031, 547, 12172, 2093, 269, 3040, 5901, 519, 17431, 2241, 607, 2484, 607, 2009, 269, 23227, 725, 281, 23227, 725, 616, 3833, 5432, 2238, 538, 2257, 1362, 268, 7741, 6993, 15501, 543, 27014, 540, 9752, 476, 16928, 1764, 593, 5171, 543, 13588, 269, 23227, 725, 666, 581, 4824, 547, 513, 1390, 6708, 952, 1978, 2798, 616, 6854, 538, 2247, 1247, 4058, 543, 3257, 513, 17431, 269, 21729, 5202, 269, 3157, 543, 8456, 269, 3955, 323, 11163, 540, 1585, 3334, 540, 606, 5117, 543, 3666, 540, 2470, 666, 849, 581, 6045, 4277, 569, 998, 5559, 520, 5314, 269, 799, 616, 9247, 3257, 269, 1323, 19511, 2257, 4116, 666, 1589, 540, 1082, 971, 3584, 799, 666, 581, 6026, 811, 3927, 998, 971, 2238, 269, 898, 568, 849, 2009, 547, 946, 5559, 520, 5314, 538, 4928, 3450, 1141, 24853, 616, 711, 8209, 2838, 855, 1114, 1053, 666, 3314, 741, 2694, 543, 957, 856, 538, 519, 4928, 269, 898, 15320, 689, 519, 1101, 1614, 13164, 269, 1879, 17431, 568, 4553, 676, 3257, 593, 519, 851, 540, 1053, 269, 23227, 725, 616, 1031, 547, 1397, 875, 1945, 568, 2944, 610, 711, 2944, 269, 1358, 616, 711, 3908, 1152, 547, 23405, 998, 17102, 1152, 269, 3040, 4643, 782, 3268, 540, 17431, 538, 4434, 269, 4935, 5559, 520, 5314, 666, 1831, 606, 2500, 3450, 5351, 538, 3450, 2257, 269, 3040, 1234, 515, 12838, 519, 17431, 1354, 2469, 547, 519, 4928, 269, 4620, 1503, 269, 998, 15942, 610, 5163, 4605, 849, 563, 321, 15903, 7363, 676, 2185, 6821, 543, 803, 698, 516, 569, 9280, 585, 519, 4305, 610, 3246, 1053, 609, 26656, 2833, 269, 6694, 20576, 269, 856, 538, 519, 2146, 610, 621, 1223, 581, 513, 1279, 7552, 547, 2484, 2476, 4025, 269, 15882, 3092, 269, 3040, 20895, 1585, 2798, 593, 519, 4604, 269, 5221, 540, 922, 2470, 547, 581, 6140, 8343, 621, 568, 6854, 593, 519, 476, 276, 628, 6512, 540, 519, 595, 821, 540, 2833, 607, 1447, 6405, 982, 824, 2833, 269, 1745, 543, 2445, 1919, 269, 1306, 4715, 2209, 649, 616, 711, 3238, 855, 649, 2047, 4585, 621, 543, 1205, 513, 1101, 1688, 1702, 269, 621, 814, 3592, 1169, 10703, 22133, 3510, 602, 513, 4116, 1522, 6999, 547, 3351, 1047, 269, 2616, 2218, 269, 16738, 11396, 269, 949, 3313, 519, 1379, 630, 514, 26334, 1040, 585, 1383, 540, 513, 4262, 15515, 778, 269, 3040, 5901, 9034, 2358, 1585, 3268, 269, 621, 3587, 513, 1463, 1995, 585, 873, 269, 4475, 2361, 7552, 568, 606, 5140, 8115, 1063, 519, 960, 540, 519, 4928, 543, 519, 960, 540, 519, 3544, 1158, 269, 898, 949, 581, 538, 519, 1153, 269, 634, 8783, 3017, 1063, 513, 2361, 7552, 543, 824, 3872, 2833, 568, 602, 519, 2875, 1205, 741, 2833, 538, 519, 2361, 543, 711, 538, 519, 4928, 269, 6270, 513, 8390, 538, 519, 2361, 7552, 6920, 1586, 875, 519, 13164, 540, 519, 595, 821, 954, 331, 777, 543, 11100, 883, 835, 1776, 269, 593, 513, 11432, 1141, 789, 666, 849, 5905, 269, 3040, 5269, 621, 2386, 602, 782, 519, 1053, 666, 1294, 621, 907, 634, 4928, 568, 513, 3908, 1747, 269, 2201, 1153, 12406, 972, 949, 581, 1585, 2010, 540, 2371, 269, 1548, 568, 12197, 25676, 610, 1401, 15479, 542, 286, 281, 589, 2361, 7552, 610, 32751, 542, 568, 513, 9709, 3643, 547, 513, 1448, 3544, 519, 2834, 4928, 269, 769, 1153, 23725, 528, 1053, 949, 1353, 1603, 1062, 585, 3761, 540, 5201, 547, 1114, 11623, 543, 20682, 269, 649, 1419, 1294, 824, 1004, 3257, 1919, 269, 9610, 11819, 779, 18361, 540, 11061, 3040, 5901, 519, 1053, 3238, 269, 15394, 538, 2361, 15143, 547, 4025, 899, 11564, 547, 513, 12051, 269, 634, 1604, 3544, 519, 4928, 814, 1100, 23451, 269, 1809, 952, 519, 2361, 15143, 616, 9709, 543, 11231, 538, 971, 513, 1259, 602, 789, 979, 3564, 8343, 269, 1547, 11957, 540, 519, 12197, 10222, 1186, 281, 1401, 15479, 687, 610, 12197, 10222, 1186, 616, 540, 1390, 3872, 1871, 2523, 538, 2257, 5396, 563, 4517, 1175, 3564, 519, 1153, 6302, 9114, 519, 19957, 2200, 540, 2146, 269, 17405, 2599, 952, 7152, 538, 519, 4928, 1131, 11145, 519, 824, 30240, 5049, 1932, 269, 630, 4512, 264, 12197, 2833, 4043, 547, 581, 1454, 811, 6209, 543, 11863, 4443, 4483, 540, 1565, 547, 3435, 540, 1483, 1272, 2042, 6993, 15501, 543, 27014, 540, 9752, 476, 15221, 5017, 269, 630, 341, 264, 12197, 1740, 14998, 513, 1362, 547, 4497, 538, 2238, 602, 616, 1932, 26776, 610, 1932, 10795, 547, 581, 1031, 538, 519, 4928, 269, 4934, 540, 3592, 1022, 3510, 11402, 538, 519, 2361, 666, 1020, 883, 930, 4101, 2042, 269, 630, 643, 264, 12197, 1740, 14998, 1101, 11804, 1353, 540, 1082, 1919, 602, 3112, 581, 4547, 883, 519, 4928, 1317, 540, 2450, 543, 824, 28842, 1466, 269, 19928, 1903, 540, 606, 1401, 15479, 542, 610, 12197, 25676, 630, 328, 264, 12197, 2833, 616, 1101, 1688, 2833, 907, 1114, 5686, 540, 3037, 269, 606, 4401, 4062, 10612, 2306, 513, 811, 11141, 11573, 982, 513, 6296, 6529, 543, 11761, 568, 1732, 7152, 689, 513, 4677, 25652, 982, 609, 513, 6263, 8945, 548, 689, 513, 2943, 6537, 538, 513, 4837, 8546, 269, 630, 13839, 264, 12197, 1740, 952, 5265, 22555, 1659, 752, 839, 1082, 4690, 602, 4928, 960, 3112, 513, 709, 572, 269, 12197, 1740, 568, 519, 1353, 540, 4890, 3615, 799, 12954, 811, 7279, 982, 547, 2093, 3052, 3052, 269, 621, 568, 1152, 3544, 519, 1362, 602, 519, 1053, 666, 581, 31235, 609, 519, 18508, 543, 21426, 540, 519, 1858, 3052, 269, 2368, 7981, 23800, 540, 12197, 10222, 1186, 281, 12197, 1740, 6770, 1547, 30158, 269, 6884, 789, 1404, 519, 1482, 1909, 610, 1256, 1732, 538, 519, 1565, 540, 2257, 607, 798, 6901, 543, 23405, 269, 630, 12858, 264, 4934, 13073, 269, 513, 2203, 7098, 6955, 2033, 269, 1085, 2393, 619, 543, 6517, 269, 1053, 616, 2111, 547, 960, 609, 1804, 2450, 2326, 269, 7786, 269, 552, 269, 2679, 2326, 907, 3141, 6879, 710, 543, 20224, 269, 1358, 8451, 689, 1463, 1565, 3871, 269, 552, 907, 552, 563, 269, 676, 9683, 15327, 519, 2093, 540, 4881, 513, 2030, 543, 519, 2472, 14475, 666, 581, 1732, 6378, 538, 1053, 685, 8186, 269, 1403, 713, 568, 2944, 4116, 6487, 1018, 646, 568, 2469, 547, 4001, 543, 519, 1053, 917, 1018, 789, 616, 2469, 547, 1451, 972, 269, 1547, 1153, 4507, 269, 5262, 2159, 625, 5438, 27624, 538, 27336, 4474, 12197, 10222, 1186, 269, 4475, 519, 4116, 786, 723, 547, 1491, 513, 1883, 1909, 952, 646, 6499, 547, 6582, 519, 7552, 269, 865, 602, 519, 4116, 6487, 25656, 1018, 741, 1053, 616, 547, 1294, 972, 269, 20505, 540, 519, 2361, 15143, 1058, 581, 1360, 5402, 4857, 547, 1118, 513, 2361, 18009, 513, 1967, 269, 634, 8343, 543, 12879, 540, 3615, 538, 519, 1604, 616, 3808, 547, 8451, 2055, 269, 1403, 972, 568, 513, 991, 585, 3560, 543, 1747, 547, 3251, 789, 1058, 581, 11231, 538, 4434, 3052, 269, 26488, 547, 28081, 12197, 10222, 1186, 476, 272, 269, 610, 1018, 4143, 3332, 1058, 581, 6594, 952, 4025, 616, 2484, 2476, 269, 30785, 2238, 15095, 547, 519, 4857, 6859, 1058, 581, 7396, 543, 2016, 607, 1134, 607, 5941, 609, 519, 1053, 25656, 269, 28055, 338, 547, 2626, 2055, 2285, 4473, 547, 1007, 2042, 269, 14313, 19927, 538, 4928, 666, 581, 1732, 6378, 538, 2247, 538, 4890, 3871, 269, 476, 276, 269, 18983, 2153, 689, 519, 8128, 543, 3237, 540, 1053, 1058, 581, 3144, 1134, 538, 4434, 269, 16318, 11819, 779, 18361, 540, 11061, 1053, 538, 3346, 609, 1082, 3615, 269, 610, 9683, 513, 18186, 1670, 6288, 610, 513, 27386, 4677, 269, 811, 7493, 2093, 827, 3662, 543, 2030, 1272, 666, 581, 811, 5587, 1881, 547, 1053, 269, 476, 275, 269, 11752, 540, 519, 1747, 540, 32751, 542, 1058, 581, 3144, 1354, 2469, 547, 519, 2361, 7552, 269, 476, 273, 269, 12197, 15143, 666, 581, 1031, 585, 2689, 543, 16590, 269, 552, 269, 543, 6283, 2042, 1711, 23665, 538, 25786, 2361, 15143, 269, 476, 274, 269, 19768, 540, 8244, 540, 1434, 6427, 1559, 3823, 2361, 2833, 563, 637, 1830, 1268, 610, 22639, 269, 2368, 540, 873, 616, 7396, 2630, 281, 476, 272, 269, 11819, 779, 10020, 281, 634, 4116, 779, 1909, 568, 1360, 1271, 585, 513, 3811, 2361, 7552, 269, 476, 275, 269, 20450, 607, 513, 3391, 269, 6496, 711, 11000, 1247, 538, 2361, 286, 476, 276, 269, 543, 789, 1058, 2119, 547, 4194, 971, 7965, 2933, 607, 2484, 607, 2009, 269, 20242, 2583, 1053, 5702, 543, 3947, 1808, 948, 607, 543, 950, 2877, 269, 4841, 1058, 581, 5258, 883, 1507, 2516, 6966, 532, 513, 1895, 6205, 585, 1142, 1895, 269, 4841, 949, 581, 15695, 547, 1491, 4967, 543, 2721, 12222, 269, 898, 568, 1898, 547, 5618, 1053, 1310, 21945, 693, 519, 1858, 269, 476, 274, 269, 476, 273, 269, 630, 321, 264, 6947, 547, 519, 3391, 1813, 547, 3845, 1247, 7555, 1472, 1864, 269, 476, 278, 269, 3680, 338, 10978, 21350, 5367, 8292, 269, 476, 277, 269, 8164, 789, 1589, 621, 568, 2556, 269, 3680, 338, 7928, 954, 8306, 538, 2875, 779, 960, 855, 12212, 952, 621, 568, 20582, 269, 476, 273, 269, 11242, 543, 9021, 1058, 581, 865, 5258, 1851, 519, 1053, 607, 547, 581, 8449, 3838, 676, 1312, 1826, 540, 1053, 1510, 1022, 4743, 602, 789, 616, 3500, 6267, 610, 4028, 6267, 269, 13876, 2478, 2875, 779, 9740, 269, 901, 1058, 581, 607, 5934, 607, 2009, 269, 4841, 1058, 581, 1500, 3222, 602, 972, 949, 581, 930, 7965, 899, 281, 630, 320, 264, 6846, 1247, 9683, 1022, 2324, 2030, 538, 513, 12051, 269, 476, 275, 6993, 15501, 543, 27014, 540, 9752, 19369, 540, 4841, 5924, 1401, 15479, 542, 476, 16960, 476, 272, 269, 610, 630, 322, 264, 2930, 1893, 1031, 538, 7713, 1880, 1184, 269, 1411, 607, 513, 4116, 1058, 581, 3222, 540, 519, 1249, 602, 972, 616, 3500, 607, 1134, 607, 4028, 6267, 269, 6828, 3401, 949, 948, 538, 4881, 2361, 1740, 12347, 543, 3533, 269, 6496, 519, 4143, 1246, 5346, 2238, 540, 519, 7552, 286, 1547, 476, 276, 269, 589, 1279, 11000, 949, 14145, 633, 519, 1053, 540, 606, 4316, 547, 2263, 519, 1747, 269, 476, 274, 563, 29171, 15664, 827, 1018, 789, 723, 4121, 568, 1271, 269, 15018, 540, 7786, 269, 7427, 5346, 2238, 4268, 2687, 547, 519, 2470, 540, 32751, 542, 269, 519, 1246, 5346, 2534, 786, 1331, 519, 7535, 532, 909, 540, 1239, 6394, 676, 1142, 2875, 610, 1142, 1895, 540, 1053, 543, 4901, 593, 519, 1267, 269, 1403, 971, 2361, 7552, 568, 3144, 676, 519, 1053, 1246, 1575, 2238, 786, 1331, 10296, 540, 2371, 269, 6884, 789, 616, 1614, 8820, 2324, 3631, 269, 519, 2361, 7552, 568, 711, 607, 2500, 607, 621, 1058, 581, 269, 14200, 269, 3163, 3610, 1491, 741, 1547, 8760, 543, 18071, 540, 1570, 269, 14629, 10473, 610, 1022, 824, 4025, 269, 3631, 543, 1483, 3615, 269, 855, 7340, 827, 519, 1570, 1310, 519, 2462, 10761, 610, 798, 711, 798, 519, 1246, 5346, 2238, 5265, 269, 11091, 540, 2831 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3312, 11673, 9736, 476, 1708, 271, 1158, 520, 20393, 2593, 269, 1744, 334, 531, 6371, 568, 519, 1034, 6371, 6438, 3168, 856, 540, 519, 824, 2010, 540, 4262, 6371, 269, 7325, 476, 273, 267, 476, 1001, 276, 910, 10925, 707, 1702, 540, 14147, 11818, 2831, 543, 2371, 547, 519, 1449, 609, 713, 21458, 4976, 269, 634, 20005, 543, 12933, 846, 3029, 540, 2699, 13479, 12622, 543, 1102, 650, 14147, 7729, 30416, 547, 1106, 7372, 24348, 3889, 799, 616, 2560, 634, 2249, 540, 3165, 1336, 538, 14147, 18625, 19582, 1585, 2157, 540, 519, 1426, 5832, 609, 930, 971, 607, 16142, 1373, 11975, 1247, 1866, 971, 607, 1612, 8527, 8127, 3049, 593, 13479, 269, 2368, 10068, 2409, 971, 607, 19046, 10068, 849, 10460, 513, 1164, 1981, 547, 519, 14147, 18625, 269, 4856, 1023, 616, 2831, 267, 1498, 267, 1317, 789, 798, 711, 1118, 741, 1378, 1426, 267, 607, 2371, 798, 269, 2368, 540, 519, 1034, 1455, 11864, 538, 14147, 18625, 1331, 23522, 609, 2249, 971, 607, 519, 8095, 1676, 18107, 514, 543, 4420, 6352, 846, 1373, 1455, 538, 519, 4279, 4446, 8175, 24035, 269, 4856, 531, 18625, 1683, 7226, 547, 513, 5318, 1297, 540, 3165, 2249, 1247, 1896, 2010, 540, 3165, 971, 607, 519, 1612, 8527, 8127, 2149, 543, 2973, 519, 14147, 18625, 563, 19669, 654, 3563, 807, 12518, 1280, 22312, 267, 4750, 2986, 16711, 1656, 2657, 7070, 267, 918, 1170, 1773, 2120, 595, 2120, 10370, 7879, 267, 14076, 553, 628, 8643, 670, 28225, 32254, 4675, 11502, 769, 29242, 267, 12113, 573, 16334, 2784, 4065, 267, 3600, 29716, 590, 653, 5871, 8745, 267, 1215, 1677, 5269, 589, 13340, 11354, 4934, 2986, 623, 16072, 267, 0, 26123, 5259, 3203, 1740, 2982, 1018, 5526, 547, 581, 513, 700, 2194, 641, 2780, 609, 18292, 16788, 454, 763, 4062, 568, 18584, 547, 524, 269, 476, 1911, 7460, 269, 898, 779, 4330, 607, 18995, 519, 1178, 4034, 821, 540, 513, 4807, 609, 1200, 10553, 1126, 31281, 754, 656, 563, 763, 1843, 5654, 4010, 899, 519, 24195, 538, 946, 2221, 267, 543, 519, 1268, 621, 568, 1373, 4371, 585, 4667, 547, 581, 1210, 513, 5905, 5496, 610, 17034, 16181, 693, 519, 1283, 540, 519, 5496, 563, 27745, 713, 581, 2963, 540, 942, 2951, 286, 2107, 1223, 519, 9147, 16380, 723, 1185, 1569, 547, 9813, 2029, 602, 729, 2147, 547, 2029, 649, 946, 2221, 888, 763, 3239, 568, 10578, 543, 2306, 835, 4898, 827, 519, 7399, 563, 8923, 6435, 8081, 6969, 1080, 21158, 676, 3843, 938, 7849, 2657, 15733, 2630, 2336, 24576, 676, 25439, 693, 476, 31229, 268, 3199, 280, 268, 279, 4343, 276, 610, 2228, 693, 4179, 2517, 2466, 665, 32111, 2593, 631, 910, 674, 476, 280, 600, 547, 476, 276, 10975, 29643, 454, 24576, 676, 25439, 693, 476, 31229, 268, 4343, 279, 268, 10384, 274, 610, 2228, 693, 4179, 2517, 4178, 269, 615, 3316, 5669, 2593, 631, 910, 674, 476, 280, 600, 547, 476, 276, 10975, 29643, 454, 24576, 676, 25439, 693, 476, 31229, 268, 4343, 279, 268, 10384, 274, 610, 2228, 693, 4179, 2517, 4178, 269, 615, 3316, 15299, 2593, 631, 910, 674, 476, 280, 600, 547, 476, 276, 10975, 29643, 454, 24109, 545, 1299, 27975, 17771, 29895, 30200, 13216, 910, 7186, 781, 1034, 1271, 7110, 256, 966, 1204, 14134, 338, 1586, 2336, 295, 301, 13052, 31527, 301, 8457, 12327, 10177, 14978, 4826, 910, 13724, 4761, 1062, 1072, 543, 2569, 6553, 454, 19575, 1493, 11916, 8000, 1890, 4354, 322, 6058, 910, 7849, 1928, 8323, 267, 2569, 6553, 543, 865, 1454, 811, 563, 12949, 11077, 543, 3947, 596, 811, 454, 24479, 269, 630, 8450, 10552, 11473, 994, 302, 15383, 32254, 910, 7849, 16690, 7581, 753, 518, 256, 7581, 753, 856, 6757, 19221, 609, 5135, 2336, 301, 553, 1417, 594, 617, 710, 910, 8871, 4925, 19140, 2305, 267, 2790, 1445, 543, 11178, 1072, 563, 27319, 631, 2678, 15147, 910, 11087, 806, 12829, 631, 2678, 5982, 676, 476, 9834, 260, 256, 630, 8450, 11473, 264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2797, 543, 17801, 673, 5251, 267, 2705, 741, 5169, 3788, 7361, 7164, 269, 769, 1931, 547, 8774, 1769, 593, 519, 4719, 25505, 540, 1657, 2516, 649, 723, 5462, 962, 9606, 10095, 688, 680, 690, 12952, 543, 1313, 23865, 1327, 328, 267, 5078, 547, 3589, 6915, 613, 4919, 22693, 267, 689, 476, 5392, 2043, 267, 9277, 547, 2099, 519, 1379, 8276, 26090, 1714, 527, 269, 12794, 680, 690, 12952, 689, 519, 21373, 21943, 616, 5812, 609, 2473, 542, 3913, 340, 22693, 540, 3864, 670, 12584, 269, 4107, 540, 519, 2997, 541, 21943, 2043, 4163, 7532, 20195, 22057, 962, 688, 680, 690, 12952, 6093, 585, 2413, 5087, 3887, 6141, 590, 9200, 1014, 543, 645, 1722, 520, 5095, 543, 741, 1313, 23865, 1327, 328, 5815, 6140, 796, 14194, 332, 12089, 7489, 4162, 269, 769, 4334, 519, 9518, 1359, 12017, 12579, 3100, 547, 581, 513, 5063, 19632, 2551, 6220, 796, 14194, 332, 12089, 3864, 267, 7489, 607, 1134, 607, 8098, 12089, 3334, 269, 4256, 26945, 533, 11189, 543, 14774, 1899, 1137, 5815, 2147, 9277, 18105, 334, 613, 4919, 610, 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, 7170, 281, 1215, 547, 9457, 7638, 659, 745, 345, 3570, 28690, 998, 24956, 545, 31204, 543, 9828, 692, 3721, 476, 272, 281, 13760, 7638, 659, 745, 345, 3570, 28690, 454, 293, 13399, 1125, 3054, 609, 7638, 659, 745, 345, 3570, 11951, 267, 799, 24865, 689, 519, 9381, 1533, 540, 7638, 659, 745, 345, 267, 6792, 269, 901, 3148, 19646, 513, 3309, 11477, 2528, 1813, 547, 922, 6805, 7506, 5916, 609, 5053, 267, 12144, 267, 543, 3979, 10366, 269, 4706, 16133, 547, 519, 5836, 2488, 1569, 547, 4195, 16872, 267, 1247, 519, 15417, 3037, 2636, 585, 10731, 6683, 269, 6206, 5820, 1331, 20397, 267, 9279, 517, 7491, 267, 2030, 1622, 267, 8970, 267, 10365, 267, 7573, 267, 29877, 267, 10217, 267, 669, 25788, 267, 13342, 267, 524, 6058, 267, 7626, 1146, 334, 267, 543, 3134, 1794, 1774, 780, 3721, 476, 273, 281, 6258, 6168, 5871, 23123, 543, 13648, 2264, 454, 2414, 4487, 7638, 659, 745, 345, 3570, 11951, 267, 2263, 1455, 5820, 899, 795, 531, 1901, 25123, 18717, 267, 3110, 534, 3266, 18717, 267, 14274, 267, 9942, 650, 657, 267, 19146, 15606, 267, 561, 1307, 267, 24453, 267, 12566, 1952, 956, 267, 27335, 525, 267, 6653, 12277, 267, 586, 4461, 267, 20230, 267, 9269, 267, 14132, 267, 3165, 267, 20544, 267, 12354, 22455, 267, 26029, 267, 804, 4461, 267, 23690, 9094, 267, 3045, 16201, 5452, 267, 782, 4944, 823, 267, 1094, 742, 1258, 267, 11876, 10937, 521, 9017, 3762, 267, 543, 513, 14024, 1774, 13594, 269, 3958, 267, 1902, 538, 2757, 3434, 2264, 971, 607, 12387, 322, 1690, 26347, 630, 332, 677, 541, 543, 11641, 548, 1070, 635, 2297, 630, 23950, 26680, 1070, 543, 10036, 17428, 1572, 1309, 345, 3241, 553, 269, 1452, 2645, 786, 948, 1711, 8076, 8286, 543, 3986, 707, 1620, 540, 713, 7524, 11951, 780, 3721, 476, 274, 281, 5530, 12465, 2598, 1127, 454, 19138, 5929, 7638, 659, 745, 345, 3570, 8286, 971, 607, 13535, 778, 514, 24546, 513, 3288, 7638, 659, 745, 345, 3570, 630, 16446, 10965, 1952, 518, 7638, 659, 745, 345, 13910, 1070, 1488, 549, 345, 598, 2717, 5979, 513, 3288, 7638, 659, 745, 345, 3570, 630, 2419, 1157, 523, 543, 19676, 7638, 659, 745, 345, 13910, 1070, 966, 8388, 31842, 657, 632, 6682, 16336, 630, 17556, 3139, 1744, 18276, 667, 636, 31958, 1070, 570, 739, 27885, 632, 595, 5271, 7865, 630, 290, 5271, 7865, 1677, 770, 27885, 1070, 2037, 577, 559, 27885, 7638, 9188, 632, 3057, 4593, 657, 630, 5353, 2378, 797, 5682, 2037, 577, 559, 27885, 1070, 590, 1023, 320, 19248, 638, 5028, 630, 307, 23147, 28397, 576, 1070, 2836, 4777, 2473, 5255, 527, 331, 630, 311, 5255, 527, 331, 590, 19281, 1070, 23111, 2297, 632, 29443, 329, 565, 630, 289, 6756, 23111, 2297, 1070, 9796, 632, 1627, 1132, 334, 630, 10267, 3150, 26629, 1070, 543, 589, 1729, 548, 630, 31640, 12397, 27276, 1040, 3962, 8670, 3091, 5813, 883, 519, 1585, 2553, 1031, 538, 7638, 659, 745, 345, 3570, 11951, 780, 3721, 476, 275, 281, 11814, 4039, 4192, 31204, 454, 8624, 937, 6325, 10346, 689, 18019, 2959, 21751, 538, 7638, 659, 745, 345, 3570, 11951, 269, 6333, 1210, 2835, 676, 12021, 22730, 543, 4589, 899, 667, 10005, 17394, 267, 25599, 7345, 1652, 267, 543, 2098, 732, 5055, 6742, 710, 345, 269, 4746, 267, 5077, 2228, 2200, 899, 29980, 21874, 267, 12844, 2561, 18863, 527, 267, 5395, 1190, 661, 1846, 267, 543, 824, 11967, 7270, 5356, 8076, 7638, 659, 745, 345, 3570, 10346, 269, 5457, 547, 3082, 891, 10346, 1759, 593, 8244, 540, 2199, 3132, 543, 2123, 7375, 780, 3721, 476, 276, 281, 15331, 609, 4469, 822, 832, 543, 7956, 999, 454, 16987, 2939, 566, 4249, 513, 2629, 1909, 538, 3384, 6791, 538, 7638, 659, 745, 345, 3570, 11951, 269, 8347, 9256, 1114, 5820, 543, 14546, 267, 4188, 4005, 532, 2157, 267, 12189, 5986, 2409, 267, 543, 7369, 6881, 6163, 2394, 596, 1265, 1018, 1568, 1655, 585, 707, 31370, 269, 1635, 3695, 7648, 540, 3964, 10346, 267, 596, 666, 1020, 5499, 4485, 547, 13686, 519, 17381, 540, 7638, 659, 745, 345, 3570, 11951, 780, 3721, 476, 277, 281, 12160, 622, 538, 24732, 268, 4002, 3718, 10914, 543, 26643, 454, 27396, 908, 538, 3946, 6823, 11925, 543, 5049, 3366, 676, 4810, 9439, 666, 3648, 2087, 707, 1983, 538, 8600, 7638, 659, 745, 345, 3570, 8286, 269, 6733, 856, 585, 3255, 6035, 676, 2199, 3506, 267, 2146, 7740, 267, 2686, 3906, 267, 610, 1256, 3486, 3292, 2519, 4481, 593, 11204, 8819, 25348, 269, 12056, 2047, 609, 4966, 6087, 1565, 4359, 2553, 543, 11543, 3407, 4030, 28998, 11992, 780, 3721, 476, 278, 281, 9523, 2659, 11310, 543, 32425, 454, 4537, 2130, 707, 1702, 543, 6612, 585, 7638, 659, 745, 345, 3570, 11951, 609, 2828, 543, 1920, 2818, 7512, 5955, 543, 16268, 9880, 1898, 585, 2208, 269, 21118, 12129, 6105, 10023, 2789, 6030, 10223, 3982, 2609, 540, 7638, 659, 745, 345, 3570, 5986, 282, 2671, 6337, 540, 6192, 8286, 3842, 1514, 2923, 5867, 5275, 5796, 610, 10372, 282, 6443, 2228, 2950, 6131, 547, 7234, 1808, 3584, 17640, 547, 11204, 11951, 910, 2502, 1866, 10597, 835, 781, 1378, 5759, 543, 11942, 4797, 1646, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 25938, 1640, 5253, 15503, 585, 5165, 6618, 563, 29820, 538, 1715, 3840, 4975, 267, 27239, 670, 2720, 327, 3400, 828, 6170, 1896, 1296, 6034, 532, 606, 2296, 607, 513, 5822, 5678, 5358, 538, 8832, 4993, 1354, 3001, 547, 6792, 547, 4001, 693, 519, 1533, 6280, 538, 623, 29301, 320, 267, 1141, 1352, 2919, 606, 1719, 538, 519, 2189, 11951, 540, 519, 1858, 563, 9515, 814, 2854, 1426, 543, 2951, 4930, 585, 634, 5240, 630, 300, 1410, 4815, 4975, 264, 543, 519, 30466, 7699, 8648, 630, 294, 10663, 7356, 320, 264, 543, 568, 519, 5253, 15503, 540, 519, 4950, 12139, 6792, 4045, 267, 585, 799, 1352, 11339, 513, 10865, 6241, 563, 9515, 568, 519, 2278, 540, 6875, 901, 16266, 543, 853, 4428, 898, 281, 24956, 545, 11204, 932, 3796, 681, 749, 523, 657, 630, 20112, 523, 4639, 6583, 1421, 476, 1960, 279, 994, 763, 3993, 540, 1079, 6738, 20766, 267, 1352, 2729, 538, 7013, 6792, 609, 1200, 9393, 267, 32632, 269, 634, 3400, 1499, 2951, 4749, 538, 6792, 543, 6239, 3013, 267, 10655, 6237, 10346, 2059, 519, 1259, 563, 24464, 340, 543, 10051, 17874, 267, 1426, 1382, 267, 5986, 5049, 543, 11204, 11951, 14245, 454, 763, 4610, 540, 32386, 31173, 543, 5253, 3194, 270, 16240, 723, 267, 538, 2487, 1296, 267, 9450, 547, 538, 3010, 13914, 540, 513, 2140, 585, 513, 14392, 2376, 1369, 519, 6389, 540, 834, 19723, 659, 745, 345, 3570, 28690, 257, 607, 851, 540, 834, 23733, 1315, 13636, 1299, 8836, 1315, 11204, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 606, 796, 4186, 6479, 835, 1848, 476, 272, 1717, 29653, 267, 519, 1344, 28420, 513, 4241, 4605, 540, 513, 2486, 602, 267, 585, 2021, 267, 729, 538, 930, 2081, 6619, 540, 922, 942, 563, 28074, 540, 18031, 656, 1756, 779, 6592, 1686, 7282, 2021, 568, 827, 1346, 945, 1185, 16918, 4567, 269, 901, 2306, 2631, 267, 1317, 12206, 4043, 547, 2328, 811, 827, 922, 3401, 982, 922, 8723, 5049, 540, 1004, 269, 634, 5927, 816, 23323, 7702, 1071, 8573, 27968, 519, 20850, 7276, 609, 1200, 9393, 3807, 15687, 585, 8938, 1296, 4098, 538, 476, 276, 2767, 5084, 269, 476, 273, 6969, 741, 4341, 3459, 267, 741, 2729, 941, 7294, 676, 519, 1249, 602, 23323, 7702, 3357, 689, 513, 2539, 1362, 982, 3807, 15687, 282, 930, 12206, 3494, 1352, 5340, 593, 519, 3942, 607, 513, 2235, 639, 1685, 518, 2059, 609, 1200, 4651, 267, 543, 602, 1352, 949, 723, 1256, 5249, 607, 513, 14382, 3482, 269, 476, 274, 1717, 267, 519, 7008, 729, 538, 2648, 267, 865, 538, 19220, 540, 519, 1249, 602, 968, 4936, 1876, 1705, 711, 1450, 513, 1273, 878, 1014, 547, 19533, 9944, 1864, 2223, 3807, 15687, 729, 2111, 547, 18609, 519, 14890, 267, 1010, 11515, 267, 547, 723, 513, 1876, 5293, 538, 519, 6845, 622, 865, 602, 519, 1079, 1223, 19533, 269, 476, 275, 634, 1034, 7986, 22920, 540, 741, 4745, 4341, 729, 519, 4070, 540, 519, 670, 698, 807, 20153, 807, 267, 607, 1134, 607, 513, 1804, 28250, 1181, 1062, 267, 17872, 2749, 6821, 267, 5321, 585, 2582, 11299, 543, 5449, 14382, 13699, 267, 3909, 10892, 585, 7642, 543, 824, 4168, 3392, 338, 267, 4031, 602, 7333, 1639, 19338, 540, 2021, 267, 543, 4031, 19249, 16028, 602, 28322, 2021, 269, 476, 276, 454, 7212, 20850, 2486, 729, 538, 2489, 25641, 2509, 2021, 267, 12145, 741, 2238, 267, 606, 9868, 547, 519, 2343, 693, 519, 942, 729, 519, 2856, 602, 2021, 4371, 3656, 543, 2883, 7115, 269, 1280, 1383, 267, 968, 2021, 1185, 3160, 2924, 547, 581, 4302, 987, 543, 27836, 3959, 267, 543, 9310, 2021, 9738, 10700, 9562, 936, 741, 9419, 1845, 1848, 476, 277, 3958, 267, 22871, 1223, 581, 2901, 30013, 610, 1319, 686, 1105, 531, 282, 968, 20850, 18211, 4531, 1846, 1547, 1547, 1547, 1419, 9053, 741, 3993, 779, 21519, 952, 621, 6035, 3152, 1514, 31449, 1848, 476, 278, 454, 11321, 17699, 538, 18031, 656, 1756, 941, 11231, 267, 543, 513, 4775, 2356, 1336, 9887, 12311, 607, 513, 1762, 7141, 267, 607, 2038, 607, 476, 1321, 610, 476, 1724, 1296, 2025, 282, 3237, 11231, 519, 6474, 585, 2797, 2744, 952, 1352, 729, 16918, 267, 610, 998, 513, 6474, 20447, 968, 945, 4607, 513, 6712, 540, 519, 9419, 787, 892, 952, 1352, 729, 540, 513, 2539, 1362, 269, 476, 279, 634, 8783, 10279, 538, 7365, 585, 513, 4807, 729, 547, 3132, 1082, 1453, 267, 543, 713, 15469, 1200, 4567, 282, 851, 540, 713, 729, 9141, 676, 3909, 3661, 267, 855, 621, 729, 849, 9141, 676, 513, 1164, 6689, 9019, 2557, 269, 476, 280, 454, 5194, 4241, 2460, 540, 519, 2729, 540, 18031, 656, 1756, 2021, 941, 519, 5480, 8395, 1132, 602, 705, 15903, 269, 1280, 1383, 267, 538, 476, 278, 7597, 5084, 267, 8341, 928, 9310, 24955, 945, 2968, 14890, 538, 476, 278, 4037, 5084, 269, 476, 1015, 2368, 12206, 3494, 602, 8341, 928, 729, 3743, 585, 24955, 779, 2669, 267, 610, 693, 2547, 1185, 513, 851, 538, 519, 4729, 282, 972, 616, 849, 5359, 602, 968, 24955, 17049, 8341, 928, 689, 1010, 5127, 950, 646, 4362, 1200, 9006, 518, 908, 24069, 547, 2491, 519, 7008, 779, 1126, 16531, 1310, 476, 6507, 272, 1848, 476, 1556, 24955, 5747, 538, 476, 278, 3199, 5084, 267, 543, 741, 5067, 4790, 14932, 17886, 729, 547, 581, 1500, 14890, 267, 855, 2094, 646, 729, 1152, 476, 1015, 1296, 540, 2085, 267, 5927, 816, 8341, 928, 729, 14733, 1010, 556, 26047, 269, 476, 1321, 1717, 267, 8341, 928, 1705, 711, 1616, 547, 2285, 909, 519, 1379, 1352, 10150, 607, 5927, 816, 269, 6145, 2663, 5927, 19843, 634, 2684, 8457, 543, 2098, 4141, 623, 6973, 344, 690, 3317, 9508, 267, 8341, 928, 1185, 513, 968, 4390, 585, 26675, 543, 26923, 892, 12018, 519, 5542, 540, 513, 1007, 14610, 1765, 615, 1345, 269, 476, 1724, 634, 6560, 585, 1379, 1063, 4790, 14932, 543, 1010, 3993, 267, 5927, 816, 8341, 928, 267, 8507, 538, 2901, 1200, 610, 1200, 18793, 2348, 1864, 968, 9420, 539, 267, 1244, 2216, 267, 543, 23689, 267, 585, 1022, 6926, 332, 880, 610, 27656, 777, 1500, 513, 812, 30849, 585, 4341, 1848, 476, 1691, 16270, 1200, 10841, 754, 3599, 547, 4341, 1310, 519, 2669, 540, 4790, 14932, 267, 8341, 928, 968, 3576, 519, 5256, 2140, 5178, 850, 639, 630, 10387, 10132, 264, 538, 13283, 547, 519, 8912, 4013, 4567, 540, 5927, 816, 1848, 476, 1428, 769, 19220, 540, 1200, 2693, 7681, 609, 519, 7972, 540, 1200, 9393, 543, 5067, 267, 835, 1271, 3364, 8341, 928, 1705, 729, 547, 1711, 519, 3171, 770, 540, 18179, 344, 267, 968, 799, 568, 1869, 9976, 538, 519, 8109, 18179, 5783, 2223, 543, 1352, 849, 17251, 519, 27748, 16438, 2880, 2552, 7337, 344, 267, 585, 799, 968, 519, 18179, 5783, 1500, 1200, 513, 23920, 892, 476, 1626, 563, 7212, 1272, 585, 519, 16918, 18031, 656, 1756, 2021, 3357, 609, 1082, 22864, 267, 621, 729, 711, 3833, 865, 12666, 585, 519, 8723, 4807, 269, 4107, 540, 513, 4807, 779, 942, 729, 6170, 1369, 519, 1753, 282, 538, 519, 7309, 1731, 517, 676, 918, 2131, 822, 5443, 657, 267, 646, 5206, 267, 968, 5901, 707, 20766, 607, 14586, 267, 16876, 543, 14455, 30679, 6681, 1848, 476, 1704, 1403, 513, 4807, 1705, 4734, 519, 2777, 547, 7390, 5939, 267, 513, 7908, 2032, 267, 3643, 14077, 267, 610, 3643, 519, 31725, 1765, 2108, 519, 6852, 2238, 540, 513, 4807, 3544, 1200, 1378, 1753, 602, 941, 13998, 11807, 892, 2443, 9917, 1185, 547, 581, 10483, 269, 476, 1240, 3958, 267, 621, 729, 2808, 16789, 585, 2021, 547, 1694, 693, 7515, 609, 2367, 8259, 789, 941, 2673, 14077, 267, 543, 693, 1753, 972, 941, 5094, 2127, 585, 2367, 543, 2021, 269, 476, 866, 21452, 267, 1256, 519, 8723, 4807, 4607, 606, 2069, 1519, 2542, 543, 1603, 267, 855, 7429, 1200, 16918, 13413, 267, 1352, 2693, 5249, 538, 519, 4610, 610, 1920, 11925, 269, 476, 736, 6468, 609, 3152, 4567, 610, 2883, 2200, 1223, 2196, 4213, 267, 7119, 538, 519, 5939, 607, 513, 632, 13154, 612, 610, 513, 562, 684, 267, 543, 1256, 723, 3742, 5107, 538, 2797, 12602, 269, 476, 2641, 1717, 267, 1256, 693, 5480, 267, 2021, 941, 4397, 547, 581, 694, 7672, 538, 741, 1378, 20453, 267, 1185, 547, 1654, 559, 741, 8188, 538, 1857, 267, 543, 941, 711, 4847, 547, 2408, 538, 1184, 687, 269, 476, 2420, 454, 2304, 9868, 547, 519, 3908, 2069, 602, 1034, 2021, 538, 18031, 656, 1756, 4607, 729, 17555, 1290, 333, 6511, 267, 945, 5030, 689, 476, 10482, 274, 5084, 547, 827, 476, 14625, 279, 5084, 269, 1306, 519, 8250, 540, 606, 14890, 267, 1200, 968, 2090, 3769, 519, 5259, 4147, 923, 267, 1686, 267, 11585, 267, 13299, 267, 543, 6138, 1848, 476, 2537, 2701, 729, 3238, 538, 513, 8959, 3801, 547, 1747, 1200, 9393, 267, 10979, 874, 11501, 21563, 3317, 3780, 267, 593, 519, 17599, 267, 543, 19679, 547, 513, 562, 684, 1676, 344, 602, 1352, 543, 1200, 3993, 8547, 267, 1141, 1352, 5206, 476, 1428, 2835, 602, 1118, 909, 519, 4583, 5981, 328, 611, 282, 585, 713, 267, 1352, 568, 2808, 547, 581, 519, 1101, 4775, 14787, 269, 476, 2190, 454, 28074, 811, 1223, 581, 2854, 827, 519, 1686, 540, 519, 2021, 540, 18031, 656, 1756, 269, 2334, 972, 568, 15784, 568, 5667, 584, 19828, 282, 16024, 1014, 19664, 5942, 661, 269, 700, 2967, 537, 6770, 909, 606, 4277, 1448, 950, 1352, 11339, 602, 519, 4008, 3390, 267, 1141, 2021, 616, 2938, 607, 16080, 11107, 538, 18031, 656, 1756, 2486, 267, 968, 631, 697, 1547, 1547, 1547, 1611, 602, 649, 1294, 20850, 2021, 607, 16080, 11107, 538, 741, 1378, 2486, 1317, 649, 2015, 2021, 547, 581, 16080, 11107, 538, 23600, 9495, 476, 1839, 634, 7828, 540, 1686, 568, 1419, 6531, 539, 711, 1152, 676, 519, 12886, 540, 519, 12206, 540, 922, 1378, 942, 267, 855, 849, 676, 938, 1699, 5784, 282, 713, 568, 835, 540, 519, 1919, 602, 2306, 3695, 519, 2729, 540, 519, 2021, 540, 18031, 656, 1756, 865, 4241, 267, 547, 2119, 547, 521, 3424, 519, 5168, 689, 519, 19827, 540, 519, 2250, 543, 519, 25127, 540, 2221, 563, 5978, 5830, 786, 1711, 835, 689, 15072, 585, 454, 288, 3387, 13427, 267, 18281, 269, 968, 20821, 519, 4658, 281, 20850, 6468, 1848, 10812, 18031, 656, 1756, 267, 562, 269, 546, 269, 5291, 2517, 2421, 345, 656, 1756, 269, 15798, 17850, 269, 2121, 269, 562, 345, 270, 14835, 10852, 269, 943, 335, 286, 1148, 573, 284, 544, 339, 335, 16062, 1580, 630, 17739, 539, 476, 1240, 7325, 269, 476, 1001, 273, 1916, 293, 8718, 267, 1323, 7534, 700, 269, 968, 6468, 538, 519, 20850, 7276, 1848, 6468, 538, 3778, 281, 5664, 12698, 998, 2776, 268, 26581, 7434, 6520, 267, 562, 269, 546, 269, 5291, 2517, 19986, 269, 804, 1046, 269, 1196, 340, 270, 2378, 8718, 26260, 8780, 21857, 13045, 18131, 260, 736, 514, 260, 736, 1492, 260, 736, 3528, 345, 14932, 260, 736, 29248, 790, 269, 7824, 630, 17739, 539, 476, 1240, 7325, 269, 476, 1001, 273, 1916, 295, 749, 21329, 24765, 8205, 269, 968, 5272, 1554, 1272, 538, 18031, 656, 1756, 281, 6468, 538, 20850, 5980, 1848, 661, 330, 25346, 833, 23723, 517, 590, 269, 589, 1421, 562, 269, 546, 269, 5291, 2517, 4178, 269, 544, 3166, 20897, 268, 615, 5146, 269, 1989, 26260, 749, 21329, 300, 3166, 8205, 19841, 22230, 273, 269, 476, 276, 269, 16814, 630, 17739, 539, 476, 1240, 7325, 269, 476, 1001, 273, 1916, 22832, 267, 700, 714, 269, 968, 8349, 2106, 700, 269, 1230, 24335, 281, 6468, 540, 18031, 656, 1756, 1848, 634, 1977, 8466, 5623, 476, 8099, 269, 476, 276, 630, 13356, 269, 476, 1220, 276, 1040, 476, 15647, 272, 268, 15647, 273, 563, 299, 2967, 537, 267, 19664, 5942, 661, 269, 968, 6468, 267, 9093, 543, 661, 684, 1276, 338, 281, 13834, 538, 18031, 656, 1756, 676, 700, 714, 6276, 1848, 4139, 4750, 540, 519, 18190, 28673, 476, 278, 269, 476, 273, 630, 293, 718, 476, 1220, 271, 2567, 476, 27868, 268, 29579, 563, 25938, 1815, 531, 267, 2441, 710, 269, 968, 20850, 5927, 19843, 281, 6468, 543, 5295, 538, 18031, 656, 1756, 267, 5084, 476, 276, 2767, 268, 9083, 275, 676, 10370, 24229, 12275, 1633, 1848, 4325, 1529, 636, 476, 10602, 269, 476, 272, 630, 13202, 269, 476, 1220, 272, 2567, 476, 14065, 268, 14321, 563, 307, 516, 698, 1245, 267, 25303, 269, 968, 7225, 603, 4173, 12541, 269, 6468, 538, 31947, 281, 681, 592, 619, 540, 19744, 18031, 656, 1756, 1848, 634, 1977, 8466, 5623, 476, 10482, 269, 476, 272, 630, 15037, 269, 476, 1220, 274, 2567, 476, 24487, 268, 26839, 269, 0, 763, 1957, 568, 2966, 547, 3310, 2818, 540, 519, 1857, 547, 1174, 519, 4191, 543, 2589, 540, 5046, 268, 866, 267, 922, 5222, 267, 543, 519, 991, 585, 25750, 269, 634, 12674, 3292, 616, 3177, 676, 519, 1533, 2229, 538, 14966, 609, 519, 5313, 2229, 269, 634, 5046, 268, 866, 6855, 568, 519, 1034, 9565, 1072, 3390, 6849, 519, 8608, 2221, 543, 814, 10645, 936, 2185, 2929, 2729, 5001, 269, 634, 1072, 1004, 476, 10711, 271, 1982, 5036, 12492, 762, 3853, 267, 799, 616, 849, 538, 1899, 609, 519, 4264, 1646, 3853, 269, 634, 13245, 4658, 476, 10711, 271, 1982, 23594, 12581, 1072, 2533, 543, 16701, 545, 919, 782, 28824, 3676, 971, 607, 519, 5046, 268, 866, 630, 31549, 321, 709, 1188, 267, 476, 1708, 272, 1040, 634, 1982, 5059, 593, 4180, 782, 1004, 3035, 513, 2635, 1272, 607, 1279, 607, 789, 2661, 269, 901, 568, 6913, 998, 519, 4259, 540, 29829, 543, 12492, 762, 1072, 3853, 543, 4808, 585, 14519, 267, 2564, 9439, 267, 543, 2550, 2429, 519, 2136, 590, 919, 269, 2060, 519, 2698, 12674, 540, 782, 4079, 538, 12590, 543, 519, 2136, 2276, 693, 1804, 267, 519, 2197, 786, 723, 6913, 513, 2101, 3804, 538, 1140, 8724, 513, 2635, 4182, 676, 476, 10711, 271, 563, 31549, 321, 709, 1188, 267, 700, 269, 630, 1708, 272, 1040, 13245, 4658, 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 ]
[ 10510, 540, 15466, 5169, 282, 513, 2571, 5160, 2208, 602, 666, 581, 2901, 22480, 610, 23872, 267, 4646, 689, 1973, 8043, 610, 9726, 8043, 269, 6201, 540, 15466, 12970, 1331, 8280, 30231, 5557, 267, 9726, 30231, 5557, 267, 8280, 836, 1470, 754, 6139, 2993, 5557, 267, 29518, 657, 328, 779, 32646, 1260, 553, 267, 2587, 3930, 541, 1260, 553, 267, 543, 8280, 30231, 984, 18431, 5557, 563, 1692, 798, 12970, 1106, 1973, 8043, 888, 12024, 2635, 2281, 267, 2860, 2281, 666, 1406, 2661, 1510, 5135, 543, 5567, 269, 1924, 789, 6494, 856, 6786, 1572, 2587, 328, 8328, 2188, 269, 1452, 5000, 1007, 1973, 8043, 547, 1332, 883, 519, 6084, 712, 269, 901, 568, 1572, 2587, 328, 14003, 563, 2710, 22480, 12970, 723, 1973, 8043, 888, 288, 1826, 540, 22480, 630, 2254, 2860, 264, 10510, 602, 3029, 689, 2281, 602, 1118, 1973, 8043, 610, 9726, 8043, 269, 5484, 793, 15466, 12970, 949, 2049, 9170, 538, 519, 1560, 267, 543, 513, 3461, 949, 723, 1896, 12970, 538, 1114, 2694, 540, 519, 1560, 563, 1432, 568, 19200, 311, 2860, 888, 288, 20200, 673, 4017, 6918, 13183, 5448, 630, 28425, 311, 264, 568, 513, 10510, 602, 4386, 5097, 538, 4587, 2043, 1310, 519, 2960, 540, 519, 2212, 543, 8405, 814, 1044, 8697, 3648, 676, 3141, 4598, 543, 5924, 9354, 5982, 563, 4692, 12970, 1106, 538, 16209, 888, 1432, 568, 513, 25558, 573, 1560, 10510, 286, 589, 25558, 573, 1560, 10510, 630, 10193, 1572, 513, 2447, 617, 624, 5448, 610, 1612, 698, 836, 30869, 264, 568, 513, 2208, 593, 519, 2427, 540, 707, 8405, 538, 519, 1858, 1141, 519, 25558, 573, 16050, 10943, 1080, 1055, 883, 4130, 1973, 8043, 602, 4163, 1973, 547, 707, 2634, 563, 1432, 568, 1350, 558, 639, 570, 636, 712, 888, 10908, 558, 639, 10510, 568, 513, 22480, 8544, 26067, 2096, 531, 683, 22914, 16030, 1447, 982, 476, 273, 260, 540, 2571, 5160, 12970, 269, 898, 568, 7768, 540, 2281, 23401, 9168, 5347, 4887, 2281, 540, 519, 3339, 1350, 558, 639, 1560, 269, 634, 1350, 558, 639, 1560, 267, 513, 22243, 3467, 326, 15975, 267, 568, 513, 7463, 1106, 540, 12091, 328, 8576, 748, 606, 770, 558, 2670, 22297, 538, 546, 1069, 531, 543, 3348, 665, 1097, 29701, 2571, 5160, 563, 1432, 1826, 540, 10510, 568, 3361, 676, 9402, 18735, 540, 31479, 1973, 8043, 888, 307, 636, 832, 16578, 1973, 6077, 2208, 630, 30231, 14003, 264, 676, 9658, 1154, 1585, 2208, 2188, 630, 324, 3052, 269, 966, 9680, 293, 264, 543, 5946, 563, 1432, 616, 12970, 3361, 676, 888, 1103, 2489, 267, 12970, 2049, 950, 2281, 7941, 543, 1332, 23494, 538, 519, 1560, 269, 28611, 267, 519, 1560, 8060, 1591, 2208, 543, 6498, 269, 1715, 2281, 616, 2813, 547, 5372, 4587, 3283, 610, 547, 1685, 1007, 3252, 269, 19204, 602, 616, 8697, 610, 1100, 3476, 2877, 5884, 547, 1118, 4055, 585, 2635, 5372, 906, 563, 1432, 568, 519, 16595, 3395, 10510, 888, 294, 2993, 984, 18431, 5557, 630, 14079, 10001, 1070, 799, 616, 519, 16595, 3395, 269, 1452, 12970, 1118, 909, 811, 982, 3368, 540, 782, 1350, 328, 5557, 543, 616, 519, 1034, 1455, 23872, 2634, 12970, 538, 4079, 563, 8489, 568, 513, 15466, 10510, 888, 288, 1826, 540, 10510, 602, 3029, 689, 2281, 602, 1118, 1973, 8043, 610, 9726, 8043, 269, 966, 6018, 12970, 949, 581, 22480, 630, 2254, 2860, 264, 610, 23872, 630, 4754, 1356, 264, 543, 666, 2049, 9170, 538, 519, 1560, 269, 1358, 949, 1106, 593, 519, 2960, 267, 538, 519, 8031, 2630, 519, 2960, 267, 543, 5924, 538, 606, 1418, 563, 1432, 568, 682, 328, 3912, 657, 541, 19265, 888, 8867, 328, 3912, 657, 541, 19265, 267, 610, 700, 5960, 267, 568, 513, 1826, 540, 4686, 2860, 602, 9428, 538, 519, 5347, 6091, 269, 634, 5347, 6091, 616, 538, 519, 17860, 8219, 540, 519, 1560, 267, 1519, 519, 24026, 267, 7181, 267, 15485, 267, 543, 1973, 8043, 269, 769, 8951, 267, 972, 568, 849, 5347, 4887, 538, 519, 19786, 563, 1432, 568, 513, 1875, 15466, 10510, 888, 26108, 543, 9726, 6077, 6084, 2293, 454, 15239, 2275, 22083, 748, 6084, 2293, 540, 519, 1973, 543, 9726, 8043, 949, 849, 581, 1572, 1875, 2275, 22083, 748, 15466, 6084, 2293, 269, 6884, 6084, 2293, 616, 1336, 1472, 1973, 8043, 630, 21406, 829, 643, 6018, 6084, 2293, 1040, 12920, 30231, 5448, 568, 513, 1455, 1875, 2275, 22083, 748, 2571, 5160, 6084, 712, 3361, 676, 606, 9402, 19221, 540, 1973, 8043, 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 ]
[ 1282, 9023, 543, 24667, 908, 9979, 454, 293, 269, 9061, 9762, 8727, 4220, 2404, 609, 16789, 7829, 543, 4859, 454, 294, 269, 715, 22021, 11091, 9270, 692, 7656, 269, 27759, 2451, 13569, 585, 17196, 24667, 908, 692, 2414, 2327, 1256, 8022, 543, 7413, 519, 1981, 540, 9190, 2208, 267, 1246, 891, 3268, 950, 8600, 2451, 13569, 585, 24667, 908, 1384, 288, 269, 19147, 1804, 9424, 540, 1426, 883, 4130, 13980, 1354, 12104, 3130, 563, 289, 269, 15188, 22799, 2451, 13569, 538, 13719, 11149, 267, 6028, 8766, 2212, 11898, 1063, 519, 2627, 540, 519, 1426, 543, 8708, 19984, 563, 290, 269, 14190, 15792, 942, 630, 273, 3108, 264, 585, 3905, 1426, 547, 3914, 4055, 2837, 1991, 547, 12104, 3130, 563, 291, 269, 4676, 3419, 4733, 16425, 1310, 8757, 4055, 2837, 282, 2057, 12675, 4598, 547, 19355, 5210, 563, 292, 269, 11261, 543, 6003, 6740, 11149, 547, 6895, 4195, 1145, 543, 15666, 547, 5227, 5021, 4859, 546, 15342, 630, 275, 2395, 585, 11273, 16738, 6393, 4353, 269, 29923, 17196, 24667, 908, 2553, 692, 28274, 3617, 24667, 908, 2994, 3358, 547, 1367, 8286, 786, 6556, 1732, 2164, 982, 13461, 9003, 593, 9949, 1379, 2157, 543, 1095, 564, 2053, 269, 6333, 6220, 891, 4388, 883, 707, 17196, 3434, 2044, 19070, 531, 1384, 288, 269, 853, 597, 2590, 8884, 11941, 281, 966, 776, 28817, 12451, 1759, 593, 519, 2450, 543, 5888, 540, 519, 6712, 1373, 12699, 269, 9540, 518, 32122, 949, 2154, 1447, 7928, 989, 2787, 3379, 547, 3677, 3283, 563, 289, 269, 19573, 531, 1379, 19856, 5346, 281, 10670, 676, 4259, 2539, 1379, 2157, 630, 2004, 15992, 1287, 7930, 2333, 26910, 720, 1169, 8792, 2394, 5551, 4835, 2837, 568, 6913, 630, 13679, 13790, 585, 16738, 2472, 971, 607, 4232, 1170, 24809, 9269, 1916, 290, 269, 15147, 532, 609, 5887, 23624, 2326, 281, 22982, 17196, 1606, 12522, 12109, 1186, 610, 561, 1749, 9280, 609, 9252, 642, 757, 547, 3895, 7509, 10009, 1510, 29212, 4430, 5277, 3330, 563, 291, 269, 1975, 5217, 9270, 281, 28081, 1426, 3688, 25144, 1472, 519, 2881, 660, 762, 6676, 547, 7520, 1256, 3002, 4483, 543, 2061, 4411, 9634, 563, 292, 269, 5776, 2421, 1974, 1450, 1734, 281, 10055, 585, 15895, 3002, 13250, 1739, 29696, 540, 3742, 5986, 676, 28498, 1796, 2421, 5712, 1063, 11996, 269, 901, 4480, 5849, 9488, 14246, 15449, 919, 2429, 519, 8670, 563, 293, 269, 7225, 5534, 946, 540, 1216, 31725, 281, 4427, 1067, 613, 1507, 13980, 5627, 3819, 5820, 630, 324, 3052, 1421, 9274, 267, 22053, 264, 13148, 538, 3636, 1216, 547, 3986, 20697, 543, 8190, 9403, 563, 294, 269, 5403, 3146, 515, 908, 16889, 11775, 281, 2913, 14580, 8491, 2451, 13569, 1964, 4090, 3320, 2022, 2275, 8504, 1354, 7674, 547, 5512, 4630, 18100, 2837, 24980, 543, 2417, 11574, 1761, 1085, 528, 4221, 10898, 780, 309, 269, 7464, 8996, 3156, 281, 4860, 1388, 1944, 4232, 1170, 24809, 9269, 998, 4274, 14580, 3058, 1983, 692, 30265, 539, 609, 16012, 1702, 540, 2500, 17196, 24667, 908, 12485, 267, 4019, 891, 3741, 4481, 2509, 14178, 519, 14438, 540, 4558, 1532, 4454, 610, 19471, 4232, 1170, 24809, 17944, 1384, 288, 269, 1546, 2548, 532, 543, 27054, 3429, 281, 6969, 588, 12976, 2476, 20276, 656, 4773, 267, 771, 553, 14517, 519, 1286, 322, 817, 883, 19242, 12415, 910, 6089, 5779, 267, 25427, 338, 267, 14941, 560, 6506, 267, 12209, 267, 3092, 269, 9484, 26147, 2960, 689, 17145, 8164, 2009, 547, 25339, 27253, 720, 11897, 1424, 20188, 16617, 3157, 269, 1744, 1042, 4765, 11007, 10597, 2627, 1858, 6534, 547, 3002, 1282, 7766, 8337, 7886, 267, 7551, 23960, 555, 1177, 532, 3928, 543, 4180, 4028, 26556, 540, 3077, 4835, 5210, 563, 289, 269, 28397, 576, 543, 2261, 514, 1228, 6292, 902, 281, 28389, 8137, 12632, 543, 2226, 30362, 5023, 10623, 601, 676, 15098, 1219, 15543, 539, 16738, 25098, 538, 16419, 27156, 610, 2261, 514, 3547, 598, 1723, 551, 539, 1210, 14911, 5820, 269, 1452, 23937, 849, 3565, 3063, 7509, 2838, 585, 3811, 17196, 29915, 566, 3646, 563, 290, 269, 28080, 9643, 24667, 908, 16131, 281, 17797, 1379, 5468, 2687, 547, 1367, 7375, 3823, 5743, 6853, 5288, 13035, 2874, 4293, 1107, 2362, 26910, 1137, 3132, 12933, 1512, 608, 614, 12542, 6466, 8425, 2401, 4485, 6536, 29779, 18282, 811, 5702, 4114, 26305, 3355, 21339, 780, 9654, 269, 10390, 692, 3725, 515, 908, 2451, 13569, 1281, 711, 28173, 14207, 593, 6492, 267, 6484, 267, 610, 3106, 3177, 1813, 31806, 568, 27361, 2429, 782, 5933, 540, 840, 6137, 267, 13936, 267, 543, 8337, 5773, 269, 14146, 532, 5078, 17196, 24667, 908, 16097, 16877, 1312, 30497, 543, 19023, 22730, 7567, 547, 12260, 2150, 11474, 7399, 24353, 1369, 1065, 584, 12723, 8286, 899, 4232, 1170, 24809, 9269, 269, 1924, 1946, 7017, 585, 1016, 1706, 18226, 2833, 950, 632, 937, 762, 4093, 24098, 1346, 945, 546, 732, 14679, 12050, 569, 8521, 883, 519, 7706, 540, 4359, 17196, 3434, 2044, 286, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1692, 7043, 1772, 15585, 1170, 24809, 26560, 6153, 1280, 286, 589, 6651, 547, 7665, 30093, 17125, 325, 5020, 454, 305, 582, 1170, 24809, 9269, 568, 513, 2442, 543, 10375, 7594, 4781, 585, 1082, 3885, 269, 2060, 922, 8949, 8137, 543, 8897, 540, 7041, 267, 621, 781, 513, 979, 3562, 3903, 585, 11112, 3018, 333, 2074, 543, 15964, 19771, 269, 1717, 267, 6616, 875, 1279, 4232, 1170, 24809, 9269, 568, 1434, 585, 568, 1898, 585, 11981, 621, 9108, 543, 21924, 922, 15808, 1272, 269, 769, 713, 2376, 267, 649, 3513, 1683, 596, 609, 513, 3102, 3391, 547, 4232, 1170, 24809, 9269, 15808, 1272, 267, 3695, 2188, 7133, 922, 15325, 267, 1697, 4859, 2553, 267, 2922, 24667, 908, 2409, 267, 31629, 13345, 267, 543, 4749, 4280, 2055, 593, 519, 1888, 563, 8139, 15585, 1170, 24809, 26560, 17125, 325, 5020, 454, 305, 582, 1170, 24809, 9269, 568, 513, 2442, 543, 10375, 1426, 6221, 602, 666, 581, 1336, 538, 1082, 17365, 8637, 543, 14060, 269, 898, 781, 513, 3348, 10541, 9269, 602, 814, 1044, 28777, 593, 513, 838, 527, 267, 4611, 538, 513, 30861, 543, 29316, 6177, 602, 781, 3501, 585, 513, 2656, 7594, 269, 1717, 267, 607, 609, 1022, 1426, 1587, 267, 621, 781, 1271, 547, 896, 16330, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 2910, 19170, 1315, 10613, 1315, 12130, 992, 1511, 1315, 1234, 515, 908, 700, 1030, 1729, 951, 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, 3848, 476, 1724, 281, 13751, 5689, 335, 15462, 538, 519, 12745, 540, 9608, 28864, 27418, 281, 1323, 22410, 540, 10370, 1111, 6452, 6342, 692, 1103, 938, 1950, 3656, 1062, 267, 2043, 3343, 519, 6351, 540, 27192, 547, 948, 873, 6330, 1585, 2591, 267, 1519, 2123, 5945, 6811, 16109, 689, 13685, 971, 607, 10370, 1111, 10913, 269, 2755, 1082, 17864, 27481, 741, 5683, 13800, 543, 1683, 19579, 6041, 267, 930, 2887, 2110, 540, 713, 3044, 267, 22867, 3656, 4731, 335, 15462, 269, 901, 3184, 12538, 883, 519, 14960, 540, 3656, 4731, 335, 15462, 1369, 519, 2796, 540, 2123, 5945, 2665, 267, 1210, 10370, 1111, 10913, 607, 513, 17122, 1448, 269, 1635, 3695, 3140, 9551, 757, 267, 4207, 7835, 267, 543, 1761, 2104, 8846, 267, 649, 2832, 547, 16491, 1876, 1053, 609, 513, 9488, 1620, 540, 713, 2565, 3390, 780, 4089, 476, 272, 281, 4197, 13751, 5689, 335, 15462, 692, 2414, 2253, 267, 1577, 721, 5581, 3656, 4731, 335, 15462, 607, 519, 5821, 540, 606, 18607, 547, 15666, 547, 519, 10858, 3044, 540, 1416, 1247, 8204, 513, 7817, 267, 4611, 538, 2800, 610, 3441, 547, 602, 7817, 269, 11153, 2609, 1590, 581, 8810, 547, 3715, 3656, 4731, 335, 15462, 281, 630, 320, 264, 519, 6228, 540, 606, 18607, 12641, 1304, 2078, 282, 630, 321, 264, 21556, 540, 10279, 676, 519, 15818, 282, 630, 322, 264, 1757, 566, 16046, 519, 21556, 547, 519, 7817, 781, 7063, 282, 543, 630, 323, 264, 4890, 14796, 11124, 676, 519, 7817, 1813, 547, 519, 21556, 269, 1284, 786, 4983, 891, 3334, 811, 5702, 2429, 713, 3296, 780, 272, 269, 272, 634, 30374, 4211, 331, 1304, 20556, 454, 763, 1101, 3693, 2556, 547, 6961, 3656, 4731, 335, 15462, 3322, 9591, 606, 18607, 12641, 1304, 2078, 269, 13575, 6340, 267, 10470, 5659, 2436, 971, 513, 4276, 6818, 1759, 593, 6662, 7355, 267, 6236, 2188, 899, 519, 6105, 262, 2932, 543, 10618, 1282, 29492, 610, 11269, 269, 1280, 3236, 267, 952, 513, 17053, 7817, 4485, 513, 10370, 1111, 8009, 15818, 5275, 5796, 827, 13197, 513, 3409, 1739, 513, 16580, 267, 519, 10661, 540, 606, 18607, 12641, 1304, 2078, 949, 554, 16636, 2390, 2436, 519, 15818, 3177, 1022, 8480, 610, 7722, 538, 5717, 3823, 519, 26350, 540, 519, 2013, 780, 272, 269, 273, 6601, 778, 540, 667, 14280, 454, 5629, 606, 18607, 12641, 1304, 2078, 814, 1044, 3964, 267, 519, 2034, 1898, 5057, 540, 3656, 4731, 335, 15462, 14122, 11744, 602, 519, 15818, 1786, 3737, 741, 10279, 547, 519, 7817, 269, 27017, 7958, 28297, 7218, 1896, 11645, 267, 1519, 31806, 267, 2792, 267, 22637, 267, 543, 16169, 269, 10738, 519, 7706, 540, 2123, 5945, 25036, 5473, 10370, 1111, 10913, 267, 513, 21556, 1522, 2049, 538, 3875, 2081, 1765, 1721, 1383, 267, 998, 14406, 21852, 267, 32657, 663, 1194, 2963, 267, 610, 16283, 7634, 269, 1677, 9414, 267, 15475, 513, 27674, 858, 10246, 2471, 602, 741, 10370, 1111, 9920, 729, 26531, 693, 519, 8868, 267, 4929, 606, 8009, 269, 1403, 519, 27674, 858, 781, 18607, 14543, 547, 12905, 3758, 513, 5163, 585, 6602, 31392, 4143, 6049, 5638, 18445, 30411, 267, 789, 1223, 5732, 581, 1336, 25964, 585, 3656, 4731, 335, 15462, 1813, 547, 741, 21556, 540, 10279, 780, 272, 269, 274, 6970, 639, 566, 454, 15307, 629, 7667, 1757, 566, 3029, 519, 3791, 929, 784, 540, 3656, 4731, 335, 15462, 6811, 269, 1773, 5593, 14554, 1590, 6542, 602, 741, 15818, 781, 21556, 2047, 3361, 741, 7063, 610, 14796, 269, 30271, 1419, 4019, 519, 834, 8117, 16519, 257, 1449, 547, 2708, 1757, 566, 267, 6998, 2436, 519, 27674, 858, 1131, 723, 7173, 9229, 538, 741, 5817, 27779, 1185, 519, 18607, 711, 8149, 4731, 335, 15462, 269, 4635, 519, 3105, 1383, 267, 952, 519, 5480, 11887, 602, 519, 16607, 25937, 540, 519, 5163, 585, 6602, 1705, 711, 1860, 519, 6364, 540, 519, 10370, 1111, 8009, 2013, 267, 1287, 1100, 1757, 566, 6818, 267, 543, 519, 18607, 3112, 581, 4371, 3743, 585, 3656, 4731, 335, 15462, 780, 272, 269, 275, 12456, 1137, 454, 7661, 267, 27674, 14554, 7682, 532, 3656, 4731, 335, 15462, 6811, 1590, 1397, 602, 789, 13455, 4890, 14796, 30289, 547, 741, 15818, 781, 21556, 269, 1452, 14796, 3335, 8915, 607, 2883, 9271, 31827, 689, 519, 3312, 2123, 5945, 9290, 267, 971, 607, 796, 3712, 21124, 13180, 610, 2799, 9276, 30309, 1317, 540, 519, 18607, 781, 6959, 269, 4825, 9506, 547, 938, 4881, 14745, 267, 8263, 602, 519, 8488, 538, 25937, 519, 5163, 585, 6602, 8507, 538, 519, 17181, 540, 2629, 2963, 267, 799, 6038, 3366, 547, 513, 4389, 11175, 2709, 269, 769, 713, 9183, 267, 519, 27674, 858, 1223, 8044, 602, 789, 11124, 14796, 1813, 547, 519, 18607, 781, 3656, 4731, 335, 15462, 780, 4089, 476, 273, 281, 12634, 3763, 906, 543, 7464, 21509, 6201, 692, 2026, 2029, 5170, 9687, 267, 3209, 2152, 8451, 1369, 519, 2361, 540, 3656, 4731, 335, 15462, 267, 3226, 7282, 6932, 6080, 899, 11878, 6879, 2130, 2533, 269, 10765, 1164, 3491, 12803, 2665, 5031, 891, 10848, 543, 4196, 607, 13657, 776, 8941, 585, 9439, 10188, 14542, 14099, 780, 2690, 3236, 267, 2015, 519, 476, 1001, 279, 2013, 540, 2725, 9807, 642, 269, 772, 828, 16370, 267, 5549, 1421, 13296, 513, 4993, 22587, 5480, 14751, 539, 513, 2539, 5480, 15194, 26587, 5758, 10385, 538, 3870, 540, 772, 828, 538, 513, 4636, 995, 2669, 2962, 4547, 676, 3885, 540, 9601, 7166, 538, 513, 16154, 5473, 606, 772, 828, 9920, 269, 25408, 267, 519, 813, 749, 622, 5480, 1336, 602, 772, 828, 11727, 607, 513, 834, 10520, 1636 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1290, 7757, 856, 7379, 3155, 9059, 547, 2327, 5124, 17356, 563, 258, 7383, 532, 782, 8021, 2838, 538, 713, 21641, 454, 5814, 21795, 607, 19073, 454, 5814, 11885, 607, 5286, 22322, 5814, 21267, 28272, 607, 12301, 22322, 258, 4939, 3901, 15003, 538, 1467, 692, 258, 7335, 1239, 689, 6552, 3095, 454, 14766, 815, 834, 10674, 2517, 4226, 269, 569, 11320, 1673, 1092, 4840, 338, 12774, 815, 19073, 18667, 32269, 263, 14766, 994, 2745, 2891, 10574, 16865, 6707, 15419, 338, 12774, 23584, 263, 1015, 2020, 18851, 4131, 781, 4729, 938, 1239, 2798, 593, 476, 273, 5937, 3113, 547, 3750, 4252, 938, 10471, 543, 1294, 952, 649, 666, 16924, 1265, 1022, 2078, 1063, 519, 1239, 269, 1284, 666, 1711, 519, 4729, 609, 519, 1739, 7097, 281, 20701, 258, 18140, 1154, 519, 3892, 540, 8464, 454, 338, 12774, 19502, 3287, 8782, 295, 2293, 3299, 586, 8782, 306, 13990, 3299, 2511, 8782, 334, 10807, 22322, 10823, 26644, 3488, 295, 2293, 5288, 20587, 720, 10807, 22322, 10823, 11859, 16932, 3488, 295, 2293, 2289, 1221, 10807, 22322, 10823, 269, 29786, 3488, 8110, 1417, 720, 24143, 10807, 22322, 10823, 20481, 10797, 18851, 1262, 5804, 519, 3113, 1657, 267, 649, 666, 5693, 1294, 602, 972, 568, 513, 2318, 5276, 6935, 1063, 519, 1297, 540, 3108, 6594, 543, 6871, 540, 6060, 269, 4373, 2162, 2878, 27609, 532, 519, 1239, 4373, 763, 1985, 1900, 568, 547, 7941, 519, 1239, 883, 834, 3430, 1026, 2373, 257, 630, 6358, 338, 264, 543, 834, 18350, 1564, 257, 630, 16059, 338, 1916, 20701, 311, 815, 521, 12774, 269, 559, 665, 18020, 32473, 272, 4940, 11161, 22322, 344, 815, 521, 12774, 269, 559, 665, 18020, 476, 272, 4940, 11161, 567, 692, 28744, 11583, 994, 28744, 12169, 2020, 18851, 3086, 602, 649, 723, 938, 10305, 543, 10297, 267, 519, 1985, 1900, 568, 547, 8237, 713, 1239, 883, 2866, 543, 1449, 5036, 269, 1284, 3513, 798, 713, 676, 1210, 2233, 18145, 6441, 792, 333, 781, 3710, 2987, 5721, 15305, 5334, 5902, 3890, 1505, 281, 20701, 5228, 28189, 6230, 617, 601, 26000, 3005, 1104, 5721, 15305, 5334, 5902, 22322, 311, 17601, 267, 2473, 15305, 267, 586, 17601, 267, 586, 15305, 815, 5721, 15305, 5334, 5902, 11583, 267, 586, 267, 3097, 23351, 1449, 15481, 284, 271, 269, 1839, 267, 4351, 26077, 284, 271, 2020, 18851, 2162, 2878, 32086, 519, 23990, 12533, 2171, 723, 8237, 938, 1239, 883, 2866, 543, 4152, 5036, 267, 543, 1631, 568, 6368, 519, 942, 547, 5721, 938, 5690, 563, 20701, 5228, 28189, 269, 15035, 31200, 1104, 8298, 2065, 8802, 1833, 8528, 8421, 2065, 8802, 337, 815, 8298, 2065, 8802, 1833, 4590, 8421, 2065, 8802, 337, 32265, 11583, 17601, 267, 586, 17601, 2020, 2745, 2891, 32086, 2347, 1701, 2020, 258, 18140, 1154, 585, 519, 1449, 1239, 454, 10823, 31892, 2660, 11583, 267, 586, 994, 258, 10823, 19502, 11583, 267, 1899, 11850, 10823, 20481, 10797, 18851, 2162, 2878, 21430, 21023, 687, 12533, 3086, 602, 649, 723, 8036, 938, 5690, 267, 621, 781, 942, 547, 1118, 930, 11236, 563, 20701, 2745, 11583, 15305, 264, 1948, 13281, 1239, 910, 769, 25980, 454, 344, 28177, 815, 26848, 8802, 337, 4877, 9438, 11583, 15305, 264, 1948, 21023, 532, 519, 8464, 692, 258, 24951, 2920, 783, 5288, 21023, 539, 454, 4206, 815, 19073, 6185, 1092, 20988, 20719, 262, 8002, 783, 9166, 586, 15305, 267, 1412, 303, 9438, 539, 9166, 586, 28177, 16585, 22322, 4206, 692, 258, 1411, 666, 849, 1449, 609, 707, 1378, 1239, 454, 327, 2293, 815, 5286, 15126, 263, 280, 269, 276, 1040, 31412, 263, 272, 16427, 272, 994, 1144, 28177, 815, 26848, 8802, 337, 4877, 9438, 22607, 2293, 994, 2745, 2891, 5591, 540, 25980, 815, 15079, 2668, 8971, 22607, 2293, 4917, 2745, 2891, 303, 9438, 539, 24143, 815, 15079, 2668, 8971, 263, 1144, 28177, 314, 271, 8079, 2020, 18851, 2162, 2878, 24066, 15070, 519, 2203, 4373, 763, 3803, 1900, 568, 547, 6218, 519, 2773, 540, 5690, 269, 901, 1900, 568, 3226, 1271, 547, 5635, 875, 1134, 1114, 6620, 1685, 593, 513, 1880, 10471, 269, 1280, 16134, 1934, 267, 649, 723, 6074, 519, 1611, 4009, 5470, 269, 1703, 616, 1082, 971, 14573, 563, 20701, 5228, 28189, 1104, 14573, 22322, 2745, 3488, 13614, 18104, 18438, 281, 3299, 3097, 8587, 14573, 32557, 318, 11274, 5193, 318, 19587, 12169, 15305, 267, 586, 28177, 4297, 0, 5035, 14871, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 267, 4757, 2187, 1038, 1582, 20508, 284, 4067, 454, 1038, 1582, 269, 16942, 284, 16942, 454, 1038, 1582, 269, 9248, 284, 24001, 7531, 825, 1219, 1205, 318, 16942, 4311, 2187, 1038, 2132, 1582, 269, 16942, 692, 825, 1219, 1689, 318, 16942, 4311, 267, 2232, 2187, 1038, 1582, 269, 16942, 284, 5417, 816, 454, 1038, 1820, 9497, 1492, 4757, 540, 3593, 15079, 814, 4957, 2668, 8971, 4311, 20508, 4917, 1038, 2132, 1582, 269, 16942, 692, 825, 1219, 6449, 516, 1440, 9191, 1345, 2187, 1038, 2132, 476, 834, 27165, 2715, 9574, 4757, 281, 2715, 9574, 2835, 1224, 1862, 834, 269, 8971, 4311, 20508, 267, 1345, 269, 16942, 994, 825, 1219, 6449, 18091, 9191, 1345, 267, 824, 318, 12528, 2187, 1038, 952, 568, 27349, 263, 1278, 318, 12528, 267, 1582, 14857, 5035, 1029, 2187, 2018, 2132, 1582, 20508, 2652, 824, 318, 12528, 20508, 543, 1582, 269, 16942, 2652, 824, 318, 12528, 269, 16942, 454, 1038, 2132, 8771, 22322, 825, 1219, 1224, 318, 1504, 4311, 267, 1504, 267, 7992, 22561, 2187, 1038, 1582, 269, 9248, 314, 1504, 24557, 7992, 454, 1038, 1948, 8873, 1582, 269, 9248, 22322, 825, 1219, 1205, 19963, 2071, 318, 7992, 4311, 2187, 1038, 2040, 284, 271, 454, 1038, 585, 642, 538, 1582, 269, 9248, 269, 11161, 10031, 2018, 2040, 23785, 341, 454, 1038, 2132, 2040, 270, 15615, 12759, 4311, 269, 9248, 264, 9239, 5035, 3883, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 2140, 267, 568, 16818, 2187, 1038, 1582, 26644, 284, 27583, 454, 1038, 1582, 18994, 16818, 284, 529, 16818, 454, 1038, 1582, 269, 7806, 902, 17342, 2639, 825, 1219, 1205, 21234, 4311, 2187, 1038, 2132, 1582, 26644, 454, 825, 1219, 1205, 318, 529, 16818, 4311, 264, 10778, 1038, 2132, 1582, 18994, 16818, 454, 825, 1219, 1305, 318, 529, 16818, 4311, 267, 2908, 318, 529, 16818, 2187, 1038, 1582, 18994, 16818, 284, 2908, 318, 529, 16818, 454, 1038, 1820, 9497, 1492, 568, 16818, 540, 1433, 15079, 814, 4957, 2668, 8971, 4311, 18994, 16818, 4297, 825, 454, 1038, 2132, 1582, 18994, 16818, 454, 825, 1219, 1039, 318, 7992, 4311, 267, 7992, 2187, 1038, 952, 630, 7992, 285, 284, 271, 264, 663, 630, 7992, 27045, 275, 2567, 2018, 454, 2018, 1582, 269, 7806, 902, 6910, 263, 7992, 994, 1038, 3116, 912, 2018, 1820, 9497, 1103, 20777, 28951, 8442, 8931, 825, 1219, 6449, 18091, 9191, 1345, 267, 824, 318, 1504, 2187, 1038, 952, 568, 27349, 263, 1278, 318, 1504, 267, 1582, 14857, 5035, 1029, 2187, 2018, 2132, 1582, 26644, 2652, 824, 318, 1504, 26644, 543, 1582, 18994, 16818, 2652, 824, 318, 1504, 18994, 16818, 454, 1038, 2132, 8771, 454, 825, 1219, 1205, 19963, 2071, 318, 7992, 4311, 2187, 1038, 2040, 284, 271, 454, 1038, 585, 6221, 538, 1582, 269, 7806, 902, 912, 2018, 2040, 23785, 14403, 454, 1038, 2132, 2040, 270, 15615, 12759, 4311, 269, 7806, 902, 4917, 825, 1219, 6449, 327, 1662, 9191, 1345, 2187, 1038, 2132, 19474, 9230, 1345, 26644, 267, 1582, 18994, 16818, 4297, 825, 7531, 5035, 11470, 263, 9349, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 2140, 267, 2278, 267, 529, 16818, 2567, 3097, 1038, 2706, 14061, 1029, 8181, 9191, 27583, 267, 568, 16818, 994, 1038, 1582, 269, 10461, 284, 10461, 454, 825, 1219, 1205, 318, 10461, 4311, 2187, 1038, 2132, 1582, 269, 10461, 454, 825, 1219, 6449, 516, 1440, 9191, 1345, 2187, 1038, 2132, 476, 834, 24001, 676, 15079, 834, 269, 8971, 4311, 26644, 267, 1345, 269, 10461, 264, 8528, 5035, 6348, 318, 293, 2109, 263, 9349, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 2140, 267, 1641, 267, 24038, 267, 529, 16818, 2187, 1038, 2706, 14061, 1029, 8181, 9191, 27583, 267, 568, 16818, 994, 1038, 1582, 16553, 915, 284, 11357, 915, 454, 1038, 1582, 269, 24038, 284, 24038, 454, 825, 1219, 1205, 5334, 889, 915, 4311, 2187, 1038, 2132, 1582, 16553, 915, 454, 825, 1219, 1205, 318, 24038, 4311, 2187, 1038, 2132, 1582, 269, 24038, 3097, 825, 1219, 6449, 516, 1440, 9191, 1345, 2187, 1038, 2132, 476, 834, 346, 9574, 476, 513, 15079, 8261, 593, 15079, 2668, 8971, 4311, 26644, 267, 1345, 269, 24038, 267, 1345, 16553, 915, 2020, 5035, 570, 727, 305, 831, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 269, 22852, 28121, 8679, 1038, 1582, 269, 9248, 28121, 8679, 13872, 825, 1219, 1711, 318, 1504, 4311, 25722, 1856, 267, 529, 16818, 2187, 1038, 513, 284, 9349, 6025, 1856, 267, 529, 16818, 994, 1038, 2132, 513, 454, 825, 1219, 1711, 5332, 334, 767, 4311, 25722, 1856, 267, 10461, 267, 529, 16818, 2187, 1038, 536, 284, 293, 2109, 6025, 1856, 267, 10461, 267, 529, 16818, 994, 1038, 2132, 536, 454, 825, 1219, 1711, 5332, 517, 6958, 2109, 4311, 25722, 1856, 267, 11357, 915, 267, 24038, 267, 529, 16818, 2187, 1038, 524, 284, 15239, 318, 293, 2109, 6025, 1856, 267, 11357, 915, 267, 24038, 267, 529, 16818, 994, 1038, 2132, 524, 454, 825, 1219, 1039, 318, 1504, 15461, 318, 12528, 4311, 267, 1504, 267, 16942, 267, 7992, 22561, 2187, 1038, 952, 4757, 538, 1582, 269, 22852, 269, 12399, 10031, 2018, 3593, 284, 1345, 269, 22852, 314, 16942, 2639, 2018, 3593, 18667, 318, 1504, 263, 1504, 267, 7992, 994, 2018, 1433, 14491, 318, 7992, 263, 7992, 994, 1038, 3116, 912, 2018, 1820, 9497, 5591, 3593, 609, 4757, 15079, 8206, 2668, 8971, 263, 16942, 4917, 1038, 952, 1433, 538, 1582, 269, 9248, 269, 12399, 10031, 2018, 1582, 269, 9248, 314, 1504, 316, 23785, 272, 454, 1038, 3116, 912, 2018, 1582, 269, 9248, 314, 1504, 24557, 272, 454, 825, 1219, 1039, 318, 12528, 4311, 267, 4067, 267, 16942, 267, 12528, 318, 9248, 22561, 2187, 1038, 579, 284, 27165, 28442, 267, 16942, 994, 13872, 1038, 1582, 269, 22852, 314, 16942, 24557, 340, 454, 1038, 952, 3593, 318, 9248, 11203, 7183, 912, 2018, 585, 1535, 538, 3593, 318, 9248, 912, 4449, 454, 3546, 1582, 14491, 318, 1504, 15461, 318, 12528, 3287, 267, 16942, 994, 825, 1219, 1820, 17624, 7614, 690, 4311, 2187, 1038, 585, 1775, 538, 1582, 269, 9248, 269, 12399, 10031, 2018, 1820, 630, 328, 994, 825, 1219, 1820, 318, 22852, 4311, 2187, 1038, 585, 1871, 538, 1582, 269, 22852, 269, 11161, 10031, 2018, 1820, 630, 7407, 994, 825, 1219, 1034, 318, 1348, 318, 1504, 4311, 2187, 1038, 2132, 3193, 18750, 760, 4311, 269, 9248, 269, 11161, 19572, 1582, 269, 9248, 269, 12399, 3890, 4917, 825, 1219, 5207, 318, 3603, 318, 1504, 4311, 2187, 1038, 1433, 318, 11232, 28121, 8679, 1038, 585, 1433, 538, 1582, 269, 9248, 269, 12399, 263, 2567, 4449, 11434, 454, 2018, 1433, 318, 11232, 314, 1504, 24557, 1504, 10947, 19963, 2071, 318, 7992, 4590, 1038, 2132, 3193, 18750, 760, 263, 1504, 318, 11232, 269, 11161, 19572, 1433, 318, 11232, 269, 12399, 3890, 4917, 825, 1219, 1034, 318, 27168, 318, 12528, 4311, 2187, 1038, 3593, 318, 11232, 28121, 8679, 1038, 585, 3593, 538, 13276, 269, 22852, 269, 11161, 10031, 2018, 3593, 318, 11232, 314, 12528, 24557, 12528, 10947, 19963, 2071, 318, 7992, 3890, 3097, 1038, 2132, 3193, 18750, 760, 263, 12528, 318, 11232, 269, 11161, 19572, 3593, 318, 11232, 269, 12399, 3890, 11723, 692, 0, 258, 3763, 518, 281, 17659, 344, 700, 1052, 454, 258, 11261, 281, 476, 5881, 270, 2764, 270, 1001, 280, 454, 258, 13517, 281, 5124, 8228, 780, 5814, 2979, 692, 343, 815, 476, 1321, 454, 344, 815, 476, 279, 454, 4067, 815, 834, 289, 2784, 344, 4840, 720, 815, 476, 2641, 692, 2745, 2891, 346, 271, 348, 1341, 2715, 272, 348, 815, 2715, 273, 348, 2668, 8971, 3287, 267, 586, 267, 1535, 1341, 586, 4917, 2745, 2891, 15916, 2580, 834, 684, 5744, 256, 2580, 694, 335, 815, 834, 955, 268, 5602, 2745, 2891, 17098, 4939, 338, 267, 707, 2085, 568, 4939, 323, 1701, 4939, 630, 4067, 267, 2085, 4917, 2745, 2891, 22706, 281, 4939, 269, 273, 325, 257, 4939, 476, 4200, 269, 274, 994, 12528, 1103, 335, 815, 3403, 2891, 1692, 616, 596, 2221, 286, 19515, 2745, 2891, 27165, 781, 3403, 281, 1412, 260, 338, 262, 257, 4939, 3593, 1103, 335, 2020, 258, 29740, 2987, 3252, 454, 2745, 5560, 597, 263, 1029, 321, 16742, 1231, 1029, 4917, 2745, 5560, 597, 263, 4118, 4917 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1250, 717, 3999, 1729, 781, 13486, 2676, 1320, 537, 18899, 561, 1176, 540, 519, 561, 1176, 4884, 256, 1577, 711, 519, 561, 712, 454, 8170, 519, 678, 8775, 10917, 652, 1654, 343, 1010, 1793, 3784, 267, 610, 454, 763, 1488, 7224, 609, 922, 512, 1177, 5500, 30223, 4154, 454, 302, 262, 518, 6122, 777, 922, 544, 1618, 267, 1100, 1522, 1512, 20630, 528, 454, 5141, 4861, 519, 1164, 7167, 20738, 538, 519, 2395, 540, 2025, 454, 2691, 7507, 729, 8197, 7507, 267, 585, 23068, 454, 310, 1779, 539, 899, 513, 27379, 22290, 1864, 267, 693, 799, 8289, 12779, 25491, 454, 293, 1194, 695, 686, 22701, 547, 1200, 17439, 4554, 1474, 3691, 1862, 5649, 2859, 454, 2421, 3223, 1846, 267, 3627, 454, 1862, 323, 2407, 1055, 792, 282, 899, 14221, 2367, 454, 8005, 593, 2647, 23617, 5531, 538, 533, 13589, 10136, 2676, 2691, 16767, 20220, 741, 6370, 906, 543, 20610, 563, 10214, 1631, 267, 1247, 21275, 267, 678, 748, 9364, 689, 476, 5390, 959, 766, 2676, 310, 550, 1900, 585, 1900, 609, 634, 320, 998, 519, 18137, 2676, 29730, 542, 267, 6028, 1000, 559, 697, 538, 519, 15493, 2676, 290, 877, 9386, 2390, 519, 12939, 540, 519, 7178, 3248, 10190, 267, 607, 729, 530, 2632, 267, 1010, 19289, 1673, 3233, 24363, 522, 701, 454, 1103, 1159, 2393, 4554, 16563, 267, 4688, 1018, 32444, 13740, 2676, 289, 31500, 676, 519, 3978, 2098, 788, 1506, 3464, 267, 5795, 540, 6653, 454, 4517, 29595, 4992, 267, 3500, 1532, 805, 1117, 1862, 5649, 2859, 454, 2421, 1325, 662, 1512, 328, 267, 667, 14397, 454, 1862, 338, 945, 3576, 454, 6546, 2732, 585, 741, 32716, 269, 570, 650, 2661, 17067, 1413, 454, 24078, 4464, 6537, 267, 585, 1141, 693, 2063, 649, 3357, 454, 288, 1390, 13486, 18651, 1540, 267, 543, 513, 581, 13154, 781, 18723, 563, 296, 14408, 312, 267, 1247, 2943, 689, 602, 13486, 781, 3490, 7192, 541, 2676, 2171, 4718, 1079, 26428, 540, 6727, 5365, 4473, 2676, 4517, 2417, 267, 899, 513, 1507, 543, 11397, 5182, 2676, 288, 581, 13154, 12943, 563, 30948, 1354, 721, 6013, 888, 8005, 6786, 938, 1935, 267, 543, 945, 30491, 24350, 296, 4280, 267, 543, 12943, 646, 945, 782, 1919, 6785, 2676, 257, 2704, 2819, 267, 952, 519, 3267, 5649, 2859, 454, 2421, 1635, 1258, 267, 6723, 630, 299, 867, 994, 1103, 688, 7676, 1399, 16563, 7444, 588, 549, 1372, 2476, 3248, 3891, 1394, 9364, 1010, 2848, 539, 267, 1010, 1753, 1189, 2619, 646, 3576, 2676, 301, 528, 5641, 593, 744, 628, 334, 781, 13486, 513, 2582, 1413, 563, 3719, 1141, 729, 646, 286, 602, 14368, 540, 513, 3781, 2676, 8005, 2367, 3166, 855, 547, 14897, 609, 1769, 563, 8489, 729, 713, 661, 3960, 601, 514, 286, 945, 3357, 543, 4682, 454, 2414, 4734, 1100, 824, 10250, 540, 1010, 8247, 563, 3891, 2451, 519, 26434, 540, 744, 628, 334, 1279, 552, 516, 544, 1941, 2676, 1103, 14334, 267, 2943, 865, 1134, 519, 2619, 729, 12816, 454, 3891, 1223, 711, 4413, 621, 281, 2282, 1010, 23029, 2482, 3248, 3719, 972, 646, 729, 1862, 5649, 2859, 454, 2421, 6478, 29536, 267, 5261, 454, 1862, 334, 262, 518, 1586, 602, 6126, 5662, 267, 1879, 4571, 3118, 593, 519, 6778, 594, 2482, 29817, 728, 519, 22859, 514, 9364, 18975, 269, 634, 7720, 976, 21331, 27560, 522, 262, 518, 519, 6429, 16874, 20762, 609, 519, 28691, 540, 18832, 282, 1656, 1352, 729, 972, 267, 1250, 16593, 267, 1250, 20717, 267, 3733, 1378, 15210, 2637, 5271, 10079, 256, 2701, 10709, 9364, 1996, 519, 20331, 2494, 267, 634, 6465, 826, 540, 519, 20331, 26427, 281, 2701, 11542, 543, 6432, 262, 1862, 5649, 2859, 454, 2421, 8187, 324, 267, 30546, 454, 1862, 3333, 6612, 14616, 2676, 2691, 2484, 2476, 2066, 519, 6822, 613, 543, 6071, 454, 296, 4718, 602, 10513, 4975, 8375, 2312, 2676, 290, 27547, 609, 1200, 13862, 540, 20610, 256, 910, 2201, 543, 593, 454, 296, 7086, 25660, 267, 17040, 609, 519, 4259, 3141, 2676, 4517, 552, 516, 519, 6309, 5459, 1310, 3766, 869, 729, 5293, 2676, 296, 11542, 1369, 24497, 28225, 781, 6821, 693, 2063, 2336, 1692, 9490, 569, 1869, 256, 1100, 3280, 540, 1272, 610, 7772, 454, 9359, 956, 519, 2011, 282, 1100, 28617, 1352, 23311, 1532, 1195, 454, 303, 6346, 593, 1010, 556, 539, 267, 6862, 2479, 998, 519, 1554, 454, 290, 2345, 519, 19914, 3280, 540, 1453, 693, 741, 1404, 912, 302, 8909, 267, 543, 6653, 267, 543, 23313, 1862, 5649, 2859, 454, 2421, 30446, 30639, 267, 717, 918, 454, 1862, 553, 938, 2395, 10443, 2676, 3891, 849, 6743, 8521, 585, 606, 5662, 454, 4002, 890, 641, 1194, 23617, 543, 22839, 602, 2539, 2676, 5804, 1346, 1906, 9486, 538, 519, 13486, 454, 6546, 568, 519, 2212, 540, 513, 812, 563, 3719, 945, 4927, 1413, 689, 21238, 781, 26372, 454, 7775, 13236, 1010, 7362, 9800, 888, 14367, 2540, 899, 513, 1507, 4158, 6531, 454, 7804, 22284, 2484, 282, 621, 568, 606, 2363, 6804, 15624, 2676, 8489, 519, 12475, 3293, 25041, 1115, 3458, 600, 16965, 454, 4517, 519, 10053, 21985, 5397, 563, 299, 8014, 267, 676, 835, 1769, 1152, 454, 2171, 1413, 689, 21238, 781, 4064, 2676, 2171, 917, 646, 4718, 6622, 23702, 519, 20739, 1188, 454, 763, 1129, 602, 13793, 338, 705, 537, 1862, 5649, 2859, 454, 2421, 1635, 1258, 267, 6723, 630, 299, 867, 994, 1862, 515, 9018, 10766, 2676, 263, 310, 4141, 547, 519, 2212, 4171, 3750, 581, 18988, 454, 7069, 1126, 2098, 2544, 11986, 781, 3068, 21048, 559, 9364, 26695, 17798, 267, 1291, 1250, 8250, 689, 1200, 13486, 912, 15463, 12556, 568, 4368, 9364, 713, 1360, 5662, 912, 21953, 711, 547, 1200, 10956, 1250, 2219, 3248, 3528, 803, 4805, 581, 10279, 6026, 30882, 257, 303, 778, 320, 256, 547, 5873, 568, 547, 23491, 4799, 5591, 811, 1590, 10553, 547, 964, 13607, 2161, 2443, 454, 10190, 547, 519, 13486, 1185, 28580, 262, 523, 1010, 1259, 2676, 3719, 1934, 1762, 17286, 574, 16563, 20347, 2676, 5575, 1970, 569, 17021, 27527, 2743, 2336, 4517, 1524, 4751, 1413, 9364, 267, 543, 9900, 838, 820, 2676, 26170, 7555, 693, 519, 623, 778, 320, 262, 1862, 5649, 2859, 454, 2421, 26766, 267, 28089, 30129, 454, 1862, 516, 519, 1434, 543, 519, 3983, 543, 519, 10782, 543, 519, 1655, 454, 5970, 8854, 547, 741, 18163, 1964, 563, 2467, 695, 21218, 543, 5493, 2167, 543, 20610, 454, 263, 11742, 3887, 22760, 20610, 602, 12152, 1076, 711, 26695, 4910, 655, 1076, 4986, 602, 568, 23600, 563, 32481, 676, 17666, 12798, 29709, 454, 4910, 11220, 569, 9944, 519, 6607, 454, 763, 14264, 3273, 344, 7297, 9114, 563, 5591, 12345, 689, 519, 13411, 13140, 2097, 1524, 454, 4002, 519, 1279, 3781, 6066, 540, 602, 4884, 3248, 3719, 1769, 689, 856, 519, 30443, 573, 4262, 454, 1805, 3195, 338, 909, 519, 2881, 28905, 3623, 1836, 8894, 294, 548, 4461, 909, 519, 533, 4883, 8163, 2484, 543, 1863, 1862, 5649, 2859, 454, 2421, 631, 848, 7615, 267, 3627, 454, 1862, 526, 1286, 565, 538, 7908, 2032, 454, 2690, 7772, 540, 4906, 2441, 781, 14844, 2032, 454, 16360, 749, 268, 2590, 518, 20707, 933, 543, 1010, 1079, 14930, 454, 6826, 18988, 1412, 655, 689, 519, 11350, 2389, 1077, 2899, 348, 2676, 2414, 543, 1079, 827, 827, 454, 306, 15781, 519, 1439, 540, 13491, 856, 2676, 291, 13388, 1782, 1524, 547, 2842, 23057, 3863, 338, 454, 2691, 519, 1350, 7867, 532, 890, 659, 1442, 17875, 338, 2676, 2026, 17875, 519, 1350, 7867, 532, 890, 659, 1442, 1058, 454, 2691, 2441, 781, 1378, 5182, 2097, 936, 519, 3574, 563, 299, 3711, 540, 519, 6607, 2501, 856, 540, 16784, 454, 310, 663, 1359, 2842, 344, 30723, 4411, 563, 3383, 789, 695, 821, 543, 31025, 11489, 12964, 454, 2691, 782, 519, 30518, 8258, 856, 522, 1862, 5649, 2859, 454, 2421, 20710, 2471, 267, 7917, 1530, 2096, 712, 454, 1862, 539, 1010, 15859, 547, 856, 2998, 454, 763, 1900, 540, 2257, 282, 543, 1996, 1200, 695, 1868, 454, 3412, 698, 1588, 30367, 856, 31676, 6811, 2676, 19465, 513, 13486, 1657, 519, 2212, 540, 530, 4141, 563, 301, 528, 568, 972, 3655, 790, 337, 960, 585, 5898, 1336, 454, 1320, 534, 602, 1352, 3094, 538, 2470, 1200, 5305, 454, 5804, 782, 519, 530, 3996, 602, 538, 519, 1158, 32736, 912, 301, 599, 609, 1010, 28194, 949, 1010, 2648, 2333, 2676, 2252, 689, 812, 781, 3152, 991, 5898, 2699, 895, 2676, 4517, 3409, 1010, 17229, 585, 4630, 720, 540, 1010, 4708, 563, 13295, 547, 16815, 5898, 546, 1054, 1250, 23816, 2295, 1413, 2676, 6546, 3735, 10982, 599, 262, 1862, 5649, 2859, 454, 2421, 570, 3317, 903, 517, 267, 21238, 7083, 454, 1862, 327, 747, 8585, 4802, 3710, 585, 14880, 1279, 3516, 2336, 2690, 782, 519, 10723, 4410, 540, 6682, 601, 582, 2676, 4517, 782, 519, 3897, 3638, 2749, 267, 8122, 676, 8122, 2676, 307, 1077, 1310, 13486, 267, 838, 790, 3564, 838, 790, 2676, 3528, 9240, 557, 267, 543, 4677, 2000, 11921, 267, 543, 678, 5241, 2156, 758, 2676, 290, 3916, 2125, 547, 519, 22800, 10689, 602, 8585, 4802, 3710, 563, 4517, 2185, 1390, 10851, 540, 17001, 267, 1305, 914, 342, 4869, 454, 4415, 1082, 513, 7793, 545, 3090, 267, 575, 2273, 519, 10689, 912, 4517, 538, 519, 9803, 581, 6814, 616, 1793, 11691, 2367, 2676, 4517, 538, 519, 2034, 2367, 616, 1793, 11691, 581, 6814, 2676, 4517, 593, 519, 3791, 616, 21847, 267, 3501, 2367, 2676, 2421, 6478, 29536, 267, 5261, 454, 1862, 769, 1164, 543, 1970, 267, 1657, 267, 2630, 267, 769, 1390, 543, 1507, 267, 538, 5180, 543, 4009, 267, 769, 3529, 543, 13486, 729, 3627, 5500, 2938, 267, 769, 17382, 543, 20347, 267, 538, 3109, 543, 3039, 267, 1412, 307, 13195, 3627, 5500, 267, 3627, 5500, 267, 1169, 1141, 269, 2701, 781, 2250, 519, 8115, 602, 781, 538, 519, 546, 1446, 267, 1656, 1631, 519, 2219, 8731, 906, 1200, 15319, 267, 3627, 5500, 5310, 1010, 7504, 585, 338, 809, 267, 1677, 6968, 519, 7599, 602, 781, 538, 519, 2156, 758, 267, 1299, 333, 321, 1862, 5649, 2859, 454, 2421, 932, 29694, 267, 2983, 32015, 454, 1862, 601, 7715, 2740, 607, 513, 20630, 712, 3248, 4517, 972, 646, 5030, 538, 7772, 543, 538, 22632, 454, 28350, 540, 1010, 1272, 282, 1018, 991, 996, 2262, 525, 4779, 262, 888, 4517, 538, 513, 13486, 267, 538, 2587, 340, 880, 543, 538, 530, 4141, 2676, 291, 6202, 523, 713, 6022, 17868, 267, 543, 552, 651, 20211, 924, 2676, 2690, 2479, 3467, 267, 972, 949, 1100, 4154, 873, 3833, 265, 2608, 3553, 1863, 454, 13295, 5293, 1032, 676, 1032, 267, 543, 1554, 676, 1554, 2676, 307, 650, 621, 8593, 3283, 538, 513, 544, 1941, 540, 2904, 454, 6546, 14667, 267, 602, 3655, 790, 337, 729, 547, 2938, 454, 1320, 534, 568, 519, 561, 1176, 2390, 1010, 26106, 651, 3039, 2676, 4517, 23906, 615, 982, 519, 2904, 609, 5810, 1007, 454, 263, 2690, 609, 519, 9782, 7990, 588, 17311, 1200, 27280, 3248, 2421, 8845, 267, 11184, 19124, 454, 305, 895, 1082, 606, 1202, 4327, 2527, 2676, 763, 5065, 4439, 8705, 802, 540, 519, 1780, 2676, 295, 4007, 607, 519, 13486, 799, 26767, 642, 664, 454, 15430, 636, 696, 6681, 533, 6150, 593, 1744, 14373, 781, 10750, 563, 763, 22586, 14805, 1080, 267, 8237, 543, 10519, 2676, 13528, 539, 2881, 4958, 267, 26434, 267, 610, 6370, 618, 563, 7775, 8604, 6720, 16484, 1305, 454, 4415, 7484, 7637, 610, 1295, 15756, 2676, 27288, 1212, 7370, 607, 533, 698, 617, 2479, 16064, 539, 2676, 7775, 9923, 4302, 540, 8109, 4056, 563, 301, 528, 941, 891, 3618, 23899, 28151, 11953, 2676, 301, 528, 26218, 555, 1862, 5649, 2859, 454, 2421, 16019, 267, 7705, 13660, 518, 454, 1862, 10428, 814, 2196, 326, 2676, 763, 1225, 1555, 14380, 543, 519, 3942, 568, 1305, 454, 2690, 13357, 7308, 344, 941, 538, 2648, 543, 1762, 563, 2171, 4682, 547, 519, 18975, 2676, 2171, 4682, 547, 519, 25089, 2676, 2171, 4718, 1169, 8768, 454, 1103, 519, 10651, 693, 918, 1168, 563, 2171, 4718, 3751, 8176, 513, 17376, 3496, 454, 4002, 1010, 1279, 26904, 7504, 2676, 4517, 2219, 1864, 811, 1303, 337, 3496, 454, 1320, 534, 1732, 15438, 267, 540, 1576, 563, 4263, 513, 9490, 2038, 5662, 2676, 1103, 853, 269, 6276, 781, 19289, 13452, 2676, 2171, 14478, 538, 513, 17643, 454, 763, 4657, 540, 519, 9856, 563, 4517, 594, 1767, 267, 1018, 513, 533, 640, 2676, 2414, 723, 1175, 513, 3018, 1862, 5649, 2859, 454, 2421, 13019, 327, 3901, 13960, 267, 17555, 454, 306, 784, 827, 14576, 454, 3383 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3397, 333, 739, 6291, 267, 593, 519, 824, 1688, 267, 568, 519, 3661, 602, 519, 6228, 610, 1875, 7721, 14571, 540, 2696, 610, 10971, 3112, 581, 8810, 610, 1634, 269, 898, 568, 513, 2990, 540, 10462, 610, 3668, 540, 1702, 3823, 519, 6228, 540, 513, 2362, 1379, 269, 3397, 333, 21216, 949, 3494, 602, 621, 568, 7543, 547, 917, 2436, 610, 711, 972, 568, 513, 2696, 267, 610, 789, 949, 3274, 711, 723, 2614, 2963, 547, 1106, 513, 3661, 835, 1259, 610, 519, 824, 269, 4935, 267, 519, 1883, 3017, 1063, 19473, 1143, 543, 989, 333, 739, 6291, 568, 602, 19473, 1143, 568, 513, 2318, 3661, 602, 972, 568, 1100, 2696, 267, 1247, 989, 333, 739, 6291, 568, 513, 2990, 540, 10462, 610, 3668, 540, 1702, 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, 8080, 547, 519, 1158, 540, 19534, 13437, 26659, 256, 1411, 1522, 581, 11842, 1018, 713, 16681, 8360, 1797, 269, 4270, 267, 1577, 803, 2491, 621, 547, 596, 1210, 513, 2241, 21658, 269, 5620, 596, 2479, 6836, 8380, 593, 9660, 602, 616, 1932, 1507, 610, 1932, 2462, 585, 596, 286, 898, 781, 13943, 267, 1318, 286, 3807, 899, 875, 2192, 1922, 9231, 9660, 666, 25010, 707, 1554, 267, 513, 14605, 20979, 3896, 666, 4734, 8436, 4743, 21616, 543, 20714, 539, 269, 2334, 781, 1141, 19534, 13437, 26659, 2501, 538, 1107, 649, 1616, 547, 2327, 938, 7270, 3514, 9985, 1100, 2339, 1018, 3926, 1004, 946, 547, 1569, 873, 2439, 3086, 267, 4952, 9683, 513, 3896, 593, 707, 16335, 267, 855, 3079, 540, 14577, 922, 11768, 865, 602, 3388, 13352, 28426, 593, 707, 4130, 5496, 267, 596, 723, 547, 20801, 2451, 543, 1318, 1175, 547, 1224, 930, 1257, 269, 16319, 30414, 267, 3085, 1405, 621, 286, 901, 1966, 14340, 950, 513, 3896, 3884, 1405, 3710, 609, 1945, 1572, 834, 22529, 633, 1357, 1374, 1701, 6056, 540, 621, 899, 9849, 8465, 7802, 602, 2242, 3337, 4470, 593, 945, 781, 9849, 621, 282, 13974, 267, 17841, 1357, 1374, 2636, 7270, 547, 3082, 16900, 547, 1114, 3457, 267, 4180, 3025, 814, 513, 1390, 3593, 1995, 780, 3383, 1946, 1281, 2348, 513, 17841, 3896, 2339, 286, 2913, 781, 1589, 827, 4672, 8645, 630, 20357, 945, 3085, 1405, 2648, 4672, 8645, 286, 1040, 5994, 26539, 606, 5863, 4672, 8645, 14903, 4904, 609, 8949, 10366, 267, 10477, 20057, 956, 267, 543, 979, 4141, 344, 535, 19276, 267, 855, 18736, 621, 1152, 693, 4025, 1141, 3214, 666, 1405, 3914, 621, 269, 1548, 513, 3653, 267, 1318, 286, 6684, 267, 2348, 513, 4190, 3896, 4465, 1405, 798, 1454, 1434, 952, 1761, 5561, 6560, 547, 6330, 998, 621, 1813, 547, 4057, 11938, 269, 1635, 8508, 17841, 1357, 1374, 267, 811, 1004, 666, 3362, 2972, 782, 519, 17705, 13000, 910, 610, 3407, 1344, 910, 707, 3896, 3091, 780, 2467, 781, 1776, 2601, 547, 1416, 827, 17841, 1357, 1374, 281, 3406, 9817, 899, 5616, 3870, 971, 7270, 936, 1346, 602, 5749, 1405, 20979, 269, 1677, 2322, 621, 3274, 267, 3478, 2059, 609, 891, 3059, 23766, 2337, 5818, 707, 2228, 4527, 269, 1924, 267, 5329, 909, 609, 1655, 2853, 5849, 707, 3896, 13978, 8013, 1851, 6634, 540, 1866, 804, 600, 1681, 585, 3007, 780, 2414, 2040, 1919, 909, 267, 2870, 513, 17841, 3896, 568, 1898, 585, 3246, 606, 11791, 3593, 1995, 2066, 1585, 3457, 1247, 849, 5355, 707, 8458, 540, 20823, 2362, 593, 3406, 2599, 2164, 269, 5901, 538, 2247, 602, 8888, 513, 3501, 3514, 3217, 942, 267, 9639, 267, 543, 6791, 269, 1403, 596, 9364, 899, 547, 1451, 811, 827, 11362, 883, 519, 4241, 7706, 540, 1357, 1374, 267, 1810, 1405, 19292, 547, 2263, 2417, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 30948, 568, 17841, 1357, 1374, 888, 763, 2165, 968, 22529, 633, 1357, 1374, 892, 729, 1101, 22579, 676, 6599, 534, 16205, 582, 974, 538, 606, 2376, 585, 589, 5903, 18766, 538, 476, 1001, 271, 269, 13786, 633, 1357, 1374, 568, 519, 2259, 540, 2679, 513, 3896, 602, 3082, 338, 547, 519, 3926, 621, 779, 1373, 9763, 593, 269, 901, 1797, 602, 513, 17841, 3896, 786, 1413, 543, 960, 1134, 593, 1022, 5496, 2450, 267, 689, 513, 5985, 6049, 547, 513, 18376, 2780, 563, 25215, 976, 633, 1357, 1374, 568, 1271, 1317, 621, 3947, 3755, 513, 1732, 1995, 267, 543, 666, 948, 4213, 2333, 741, 7503, 3928, 269, 769, 1249, 267, 5616, 814, 1767, 602, 789, 4782, 17841, 7270, 267, 543, 949, 1256, 10336, 1125, 1875, 268, 22529, 633, 4609, 538, 519, 2104, 563, 2252, 596, 2461, 3206, 827, 1818, 707, 3896, 17841, 267, 610, 952, 596, 2461, 711, 2386, 952, 707, 1699, 3135, 568, 17841, 267, 3346, 513, 1357, 1646, 2754, 585, 948, 563, 763, 1686, 540, 17841, 1357, 1374, 454, 1103, 519, 2038, 2395, 540, 519, 1357, 267, 9858, 2813, 6378, 2914, 5954, 3817, 602, 941, 2966, 547, 960, 593, 18376, 5904, 609, 1804, 21697, 269, 1452, 3817, 941, 711, 2653, 547, 2070, 593, 4254, 328, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 2171, 2125, 924, 13437, 26659, 257, 607, 851, 540, 834, 28035, 1315, 5769, 1315, 5680, 5071, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1103, 3932, 267, 713, 1576, 1770, 814, 25139, 4296, 1063, 13591, 7223, 3584, 543, 519, 9976, 13642, 22472, 269, 1635, 6313, 3126, 543, 9696, 998, 519, 7828, 540, 713, 19450, 1297, 267, 649, 723, 20114, 10578, 3347, 5817, 1312, 6310, 21437, 543, 28507, 4641, 269, 4197, 891, 12205, 27862, 938, 7071, 585, 519, 25894, 543, 9322, 7915, 538, 6128, 1247, 3246, 3407, 4030, 10858, 547, 16221, 11890, 3564, 6986, 27727, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 20112, 523, 7089, 8058, 11012, 9261, 30324, 16417, 31224, 10780, 25974, 6459, 29391, 17221, 3264, 16068, 16648, 4709, 13833, 6459, 23845, 9326, 30935, 11012, 3264, 15671, 19757, 4709, 9326, 21660, 4586, 303, 7034, 16588, 853, 725, 7048, 593, 13588, 899, 596, 269, 1677, 1489, 707, 2199, 6728, 267, 979, 547, 281, 29836, 491, 7602, 497, 2859, 9623, 543, 2959, 2630, 7602, 497, 1284, 2461, 593, 623, 2969, 3918, 2177, 256, 15012, 519, 2146, 19065, 374, 16123, 374, 29836, 491, 24639, 7034, 31304, 23813, 865, 596, 1810, 1406, 4413, 513, 3381, 256, 19065, 374, 16123, 374, 29836, 491, 7602, 497, 16378, 497, 16378, 497, 2859, 9623, 543, 2959, 2630, 7602, 497, 16378, 497, 16378, 497, 634, 11344, 5223, 269, 2368, 2161, 621, 779, 519, 1034, 26704, 1297, 538, 519, 7122, 269, 11524, 2161, 621, 896, 15533, 3388, 689, 2470, 779, 3270, 547, 5898, 538, 1148, 543, 1374, 269, 1809, 267, 899, 267, 1018, 568, 621, 286, 1656, 1281, 519, 7242, 540, 519, 11344, 5223, 3180, 909, 547, 922, 6310, 4641, 286, 2913, 779, 1265, 856, 22108, 281, 29836, 491, 910, 7981, 7064, 547, 938, 11020, 11565, 4793, 6425, 281, 20858, 20098, 5142, 808, 32667, 590, 9369, 546, 8643, 6367, 2006, 6424, 3627, 8725, 30277, 4432, 330, 7315, 1415, 24789, 2711, 6428, 8811, 1488, 16435, 534, 13391, 8538, 601, 654, 1074, 2401, 7917, 8479, 25138, 590, 578, 3385, 18148, 1855, 514, 2421, 18238, 2725, 518, 20289, 5153, 2380, 8834, 661, 15590, 333, 560, 668, 28545, 514, 29849, 16515, 788, 12027, 27239, 670, 2532, 749, 22176, 322, 313, 3266, 17630, 700, 558, 2041, 5866, 15012, 721, 593, 4793, 516, 517, 256, 29836, 491, 12108, 29836, 491, 29836, 491, 17749, 29836, 491, 29836, 491, 8585, 577, 29836, 491, 9365, 29836, 491, 454, 763, 13642, 22472, 267, 799, 568, 835, 540, 519, 1034, 4583, 3352, 7806, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 13878, 30388, 1315, 10789, 1315, 29329, 1315, 10022, 543, 14938, 1878, 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, 3848, 7170, 281, 4197, 9483, 20222, 692, 5331, 596, 723, 1269, 736, 10710, 909, 689, 3257, 26050, 1472, 519, 2777, 269, 1411, 4312, 1185, 707, 3750, 593, 513, 1007, 3381, 3014, 602, 3790, 4010, 1269, 736, 269, 2290, 1554, 267, 1247, 6972, 1753, 689, 1153, 267, 2576, 2879, 520, 2583, 707, 2724, 256, 3807, 899, 602, 267, 707, 2182, 268, 792, 2740, 6666, 568, 8854, 267, 543, 865, 568, 707, 4960, 547, 4444, 519, 3381, 3014, 269, 901, 1826, 540, 5208, 1107, 2921, 1945, 602, 3085, 1406, 4866, 547, 596, 1107, 568, 1572, 2168, 5208, 269, 1809, 1705, 596, 917, 972, 779, 1776, 2186, 540, 968, 24825, 775, 892, 602, 666, 4755, 1256, 950, 1100, 835, 4991, 9308, 10413, 286, 2334, 779, 1141, 2804, 5208, 2501, 538, 780, 3383, 267, 1018, 568, 2804, 5208, 286, 4270, 267, 4952, 3079, 540, 27560, 707, 2724, 30739, 267, 2576, 5036, 909, 513, 21097, 1796, 1318, 1985, 547, 16523, 1169, 2582, 1554, 269, 1358, 6133, 741, 10425, 585, 14949, 982, 596, 798, 267, 1818, 621, 2352, 585, 596, 547, 4482, 5561, 269, 16828, 267, 789, 5397, 596, 856, 540, 1870, 267, 6028, 596, 8572, 547, 7118, 2724, 9513, 21097, 15042, 269, 4634, 1498, 18864, 9788, 513, 1688, 593, 596, 267, 713, 1268, 1869, 3361, 596, 2800, 676, 7133, 707, 2702, 547, 1118, 513, 2713, 269, 901, 568, 606, 1383, 540, 2804, 5208, 780, 3086, 1577, 779, 1413, 6251, 693, 875, 2804, 5208, 1568, 269, 1879, 1004, 1589, 540, 5208, 267, 789, 1419, 4605, 24515, 267, 9604, 267, 610, 7063, 269, 1717, 267, 2804, 5208, 5540, 721, 811, 5705, 569, 998, 1919, 899, 15490, 6735, 267, 14226, 267, 7130, 267, 543, 21376, 3255, 269, 1280, 3236, 267, 930, 3549, 1522, 2628, 1978, 4600, 1447, 1175, 1317, 540, 945, 789, 616, 630, 7945, 607, 741, 4008, 267, 5198, 267, 2085, 267, 3092, 13776, 16550, 1346, 5520, 547, 6560, 20019, 5103, 2324, 1175, 607, 2182, 607, 3025, 3116, 269, 2107, 5310, 513, 2462, 18294, 7575, 883, 4884, 267, 6117, 4130, 4213, 896, 1813, 547, 2539, 5777, 1500, 2009, 1152, 1317, 540, 3152, 4336, 543, 2200, 269, 1452, 3527, 1764, 1004, 781, 24454, 11874, 267, 4929, 3929, 11605, 543, 2883, 16132, 780, 2005, 781, 1898, 547, 1174, 602, 2804, 5208, 3884, 1405, 2141, 18532, 269, 6884, 267, 1004, 949, 26968, 5944, 3565, 547, 2804, 5208, 3274, 676, 1739, 3466, 610, 7446, 14949, 3681, 1510, 6236, 519, 4539, 585, 1866, 3238, 269, 1677, 2061, 2804, 5208, 267, 649, 1590, 3895, 14619, 267, 7862, 267, 543, 1620, 1851, 6000, 543, 1369, 2486, 269, 1284, 991, 547, 1451, 827, 5683, 7082, 1143, 267, 1489, 2199, 4213, 267, 12167, 585, 4507, 602, 2149, 4600, 262, 2924, 267, 543, 13599, 6000, 593, 519, 1761, 5222, 540, 938, 5079, 593, 824, 1004, 781, 2729, 780, 1103, 5758, 267, 2804, 5208, 4016, 547, 5739, 6411, 610, 2853, 602, 1860, 2043, 262, 5759, 547, 1683, 585, 2933, 543, 741, 3885, 269, 2755, 891, 3527, 5749, 1405, 2356, 10795, 538, 519, 2757, 2631, 267, 789, 666, 2014, 1713, 3441, 547, 1004, 781, 8171, 543, 6617, 269, 1635, 1373, 3222, 540, 2804, 5208, 543, 5009, 14619, 543, 3160, 4316, 267, 649, 666, 948, 1711, 513, 8902, 267, 811, 12581, 2486, 585, 3025, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 1001, 276, 15507, 532, 282, 26818, 326, 3863, 14629, 8261, 25012, 6391, 540, 519, 4690, 540, 1022, 1893, 286, 22992, 952, 621, 13984, 971, 547, 12492, 519, 476, 1001, 291, 4841, 540, 3156, 547, 513, 1044, 26818, 326, 3863, 267, 1018, 23138, 1058, 19439, 29064, 13197, 971, 1913, 538, 741, 7064, 543, 1053, 286, 3213, 848, 1114, 28179, 1454, 4557, 6681, 540, 713, 26818, 326, 3863, 14629, 8261, 25012, 6391, 476, 1220, 280, 269, 7298, 282, 26818, 326, 3863, 14629, 8261, 25012, 6391, 267, 1310, 1965, 582, 20143, 5951, 1281, 30758, 12765, 5962, 269, 2705, 649, 15974, 1031, 602, 2139, 26818, 326, 3863, 14629, 8261, 25012, 10596, 693, 782, 2043, 585, 8789, 2111, 7269, 543, 602, 519, 2104, 568, 3448, 540, 1065, 28362, 923, 269, 898, 568, 1034, 1863, 27360, 564, 547, 1246, 547, 2307, 609, 519, 3833, 4359, 17634, 649, 2611, 267, 609, 1378, 1866, 799, 616, 2476, 519, 703, 29396, 540, 519, 1895, 609, 799, 649, 1224, 547, 4283, 269, 2201, 519, 12353, 2575, 267, 4244, 569, 2760, 607, 649, 2196, 22341, 11466, 883, 938, 2104, 267, 938, 1259, 2055, 711, 269, 3776, 26818, 326, 3863, 12116, 513, 827, 8789, 13287, 269, 2311, 1142, 5234, 267, 1317, 519, 11558, 568, 538, 513, 1969, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 30356, 20222, 257, 607, 851, 540, 834, 24719, 13316, 1315, 20222, 538, 5980, 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, 769, 1931, 547, 6707, 4497, 538, 12202, 1369, 513, 22465, 2916, 971, 607, 8581, 781, 267, 621, 568, 1898, 547, 1174, 543, 2936, 4005, 10137, 2553, 269, 1452, 2409, 1450, 22254, 547, 8831, 519, 3395, 4005, 3564, 1018, 1131, 3335, 581, 2009, 538, 513, 2016, 2916, 267, 7175, 519, 14713, 540, 513, 9962, 3099, 540, 2371, 543, 2810, 2949, 7607, 269, 901, 3184, 786, 2263, 1585, 4005, 10137, 2553, 267, 741, 6388, 267, 2640, 267, 543, 2591, 780, 5353, 1783, 10137, 666, 1491, 1082, 3029, 267, 1519, 1970, 25310, 267, 1164, 25310, 267, 4411, 14604, 267, 4737, 6227, 267, 543, 804, 665, 1127, 269, 3962, 1505, 5713, 547, 1711, 513, 2890, 30873, 1472, 519, 2371, 1373, 6870, 267, 15645, 908, 2837, 15088, 267, 4227, 2842, 3441, 267, 543, 7863, 1996, 7050, 13247, 269, 1635, 14139, 891, 2994, 267, 22254, 666, 3927, 7903, 1394, 519, 2063, 15470, 4266, 538, 5614, 543, 8488, 519, 1101, 15470, 4266, 538, 15489, 267, 7551, 9750, 519, 6885, 540, 4316, 585, 2030, 2208, 780, 20181, 570, 18365, 1564, 281, 8899, 25310, 616, 2241, 3889, 7768, 540, 11876, 3591, 1500, 689, 8465, 2326, 899, 31668, 10612, 610, 4496, 31026, 527, 267, 4988, 609, 513, 4494, 540, 5068, 6656, 532, 269, 1358, 616, 3335, 1031, 547, 2149, 1367, 9343, 610, 15135, 540, 7031, 269, 8899, 25310, 1683, 1896, 5383, 267, 971, 607, 2799, 3037, 14246, 267, 4389, 21381, 267, 543, 4027, 689, 1769, 8389, 7370, 269, 1677, 11694, 7145, 267, 12979, 1681, 519, 2497, 18172, 547, 519, 2666, 543, 4180, 1697, 14910, 1282, 15911, 5712, 616, 2629, 780, 11947, 570, 18365, 1564, 281, 4400, 25310, 267, 849, 1634, 607, 11876, 641, 8075, 267, 2671, 10486, 609, 1970, 25310, 855, 3382, 3677, 2127, 269, 10705, 23401, 3039, 17346, 1510, 8022, 1949, 267, 789, 5512, 25210, 547, 3132, 3636, 5498, 1783, 5388, 1256, 538, 16830, 16374, 269, 2755, 811, 7199, 982, 824, 4005, 10137, 2553, 267, 1164, 25310, 2709, 3152, 8112, 267, 3850, 585, 1032, 15778, 2504, 538, 930, 2665, 269, 3958, 267, 1164, 25310, 949, 7520, 519, 946, 540, 30620, 12555, 1949, 267, 799, 948, 18359, 1216, 2200, 1247, 3246, 5812, 7509, 547, 2371, 780, 290, 1245, 13368, 525, 281, 12019, 14604, 616, 6659, 10833, 267, 2356, 9112, 689, 3574, 610, 6405, 7161, 267, 609, 12001, 561, 1749, 1500, 540, 4837, 610, 5068, 269, 19024, 539, 5045, 1922, 5217, 267, 789, 7001, 7943, 543, 15972, 3002, 267, 2870, 513, 8825, 1604, 585, 1762, 19155, 610, 13035, 17506, 10118, 269, 12019, 14604, 666, 3648, 2087, 2038, 5614, 543, 3735, 2887, 6668, 3928, 585, 7925, 2371, 267, 1818, 873, 3407, 2645, 585, 1022, 3978, 32529, 269, 1717, 267, 3007, 1590, 581, 6976, 547, 4509, 3617, 5210, 3330, 519, 7406, 282, 13471, 2326, 899, 18720, 610, 12450, 666, 581, 3773, 1282, 21617, 28542, 547, 11677, 3002, 780, 305, 578, 3213, 951, 281, 18007, 6227, 2874, 540, 5958, 9212, 546, 1905, 539, 2047, 936, 7031, 610, 5116, 593, 5911, 11876, 3591, 547, 1106, 1970, 25310, 269, 12232, 538, 8795, 12035, 267, 891, 11684, 2326, 666, 1683, 1114, 2157, 540, 13471, 543, 27864, 4470, 593, 519, 1808, 2115, 540, 519, 2371, 2630, 269, 8752, 7076, 4737, 6227, 267, 1419, 5219, 547, 607, 13735, 4737, 6227, 267, 666, 2333, 3037, 2837, 543, 2569, 5521, 2604, 1510, 27195, 11811, 610, 791, 5338, 2011, 10009, 269, 1261, 32667, 17234, 267, 2705, 267, 949, 2154, 3606, 7028, 543, 1058, 1152, 581, 1031, 950, 2556, 267, 607, 789, 6615, 1312, 1769, 21774, 543, 3154, 5385, 780, 5141, 665, 1127, 281, 589, 2757, 3943, 2165, 585, 11350, 11057, 4837, 610, 5068, 6227, 267, 804, 665, 1127, 4196, 513, 2147, 3483, 547, 824, 4005, 10137, 3457, 676, 29212, 3002, 543, 11195, 1472, 1367, 2371, 269, 25214, 1688, 8154, 539, 689, 1768, 2350, 27198, 610, 4837, 267, 2413, 804, 665, 1127, 616, 1631, 4122, 14475, 1210, 14463, 15229, 269, 9603, 547, 741, 1507, 2450, 267, 804, 665, 1127, 616, 1034, 5078, 585, 7863, 10347, 5993, 338, 610, 10448, 6238, 2394, 789, 1831, 3964, 2614, 547, 7639, 9205, 2175, 10446, 269, 6736, 713, 20159, 267, 804, 665, 1127, 2611 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 289, 3754, 547, 596, 676, 11300, 23046, 585, 15272, 538, 10266, 781, 9977, 532, 18248, 454, 296, 1419, 2995, 519, 3237, 540, 1250, 7218, 609, 5312, 1928, 602, 741, 1126, 786, 3914, 741, 3853, 267, 855, 602, 519, 3460, 949, 1491, 3476, 543, 723, 811, 23538, 543, 7140, 982, 8385, 4397, 269, 8479, 1004, 609, 5312, 1928, 2693, 4043, 4724, 19870, 1143, 543, 616, 4440, 741, 1378, 554, 1513, 4554, 10404, 950, 621, 2501, 547, 1153, 1740, 267, 9344, 267, 543, 1565, 513, 1007, 5578, 269, 2368, 540, 1018, 568, 23091, 609, 5312, 1928, 568, 713, 1445, 593, 1967, 563, 27269, 3214, 609, 5312, 1928, 723, 1565, 3604, 267, 11838, 267, 4160, 267, 610, 930, 4161, 602, 2306, 621, 9875, 547, 3035, 267, 1247, 4509, 513, 1164, 1377, 540, 6788, 585, 2933, 269, 901, 2566, 5012, 547, 811, 1928, 267, 799, 1287, 2306, 621, 1256, 27162, 615, 547, 8011, 269, 589, 30380, 4783, 568, 4535, 563, 4407, 968, 294, 9512, 9650, 3553, 892, 1281, 711, 723, 4376, 547, 798, 609, 6107, 609, 5312, 1928, 4481, 267, 594, 1589, 602, 649, 666, 946, 922, 3741, 547, 948, 3214, 609, 1928, 4713, 1745, 1732, 827, 741, 1565, 3157, 543, 4061, 581, 811, 2693, 547, 3035, 547, 741, 2407, 1761, 563, 3719, 1018, 568, 12618, 9650, 3553, 888, 10111, 565, 667, 933, 1188, 6257, 519, 4334, 1063, 1004, 609, 513, 968, 293, 12089, 9650, 3553, 892, 543, 1004, 609, 513, 12618, 9650, 3553, 269, 4658, 945, 723, 513, 674, 12089, 9650, 3553, 3494, 602, 741, 7592, 616, 1175, 2016, 267, 865, 891, 1004, 5855, 827, 875, 7850, 610, 16283, 789, 616, 3079, 540, 3384, 741, 1983, 269, 1358, 3494, 602, 13007, 543, 7915, 4987, 568, 9003, 3743, 585, 1967, 563, 1103, 4334, 267, 1004, 609, 513, 12618, 9650, 3553, 1294, 741, 7592, 607, 513, 4358, 1448, 602, 666, 581, 2799, 676, 11428, 267, 2182, 960, 267, 543, 4674, 269, 901, 2070, 11942, 6043, 543, 513, 2648, 540, 1565, 563, 2691, 3610, 543, 3237, 5000, 513, 12618, 9650, 3553, 538, 1053, 267, 789, 1831, 25981, 6267, 1317, 789, 616, 6026, 547, 3494, 602, 741, 4987, 666, 581, 2919, 676, 1565, 689, 9073, 543, 998, 4674, 269, 901, 3661, 538, 2933, 814, 2318, 2360, 593, 741, 8404, 543, 18867, 593, 741, 9740, 269, 8349, 667, 933, 1188, 779, 1382, 2982, 602, 3214, 1831, 8746, 6267, 950, 789, 616, 26916, 585, 519, 1184, 789, 4497, 538, 267, 2864, 982, 1373, 5143, 602, 789, 616, 5100, 610, 16805, 563, 293, 12089, 9650, 3553, 1053, 786, 1419, 21183, 2476, 689, 2352, 4247, 1317, 789, 4250, 5821, 269, 23299, 27938, 741, 3661, 538, 741, 7915, 4987, 610, 13007, 267, 543, 789, 5855, 602, 952, 789, 723, 547, 960, 2182, 267, 789, 1590, 711, 581, 602, 6505, 269, 1280, 1053, 945, 616, 6659, 609, 513, 12618, 9650, 3553, 267, 4674, 568, 519, 1995, 540, 1565, 875, 547, 798, 1945, 585, 519, 1101, 942, 1107, 799, 3322, 3843, 2182, 543, 1373, 13934, 269, 901, 568, 2938, 607, 513, 1565, 1995, 267, 1100, 2339, 519, 6364, 563, 296, 3494, 602, 513, 12618, 9650, 3553, 568, 2635, 585, 782, 3425, 540, 1022, 2085, 269, 1280, 3214, 609, 5312, 1928, 945, 4043, 547, 2322, 513, 2603, 540, 2604, 593, 2933, 547, 8011, 267, 713, 568, 1256, 811, 1271, 547, 5397, 1753, 547, 873, 269, 1358, 991, 547, 5873, 689, 596, 602, 621, 568, 15502, 952, 789, 1491, 606, 3063, 1032, 547, 2347, 1164, 1153, 865, 602, 789, 666, 1491, 7864, 5049, 1142, 19496, 269, 1358, 991, 10479, 602, 1175, 1373, 693, 1153, 568, 606, 9740, 585, 873, 543, 602, 3478, 1164, 9344, 568, 711, 519, 3804, 585, 1631, 563, 5445, 991, 547, 1745, 602, 9073, 616, 851, 540, 1565, 267, 543, 602, 3843, 2352, 4247, 630, 31347, 4081, 610, 6972, 547, 519, 19880, 689, 741, 5127, 264, 5932, 2208, 267, 1256, 950, 1919, 1810, 1406, 979, 12347, 269, 1358, 991, 15260, 4269, 602, 596, 616, 10583, 540, 741, 3646, 543, 602, 596, 917, 789, 616, 2324, 2182, 267, 5103, 1928, 267, 9854, 267, 21994, 267, 543, 865, 593, 563, 9827, 267, 596, 607, 513, 2385, 666, 4324, 689, 7487, 707, 1126, 607, 8236, 998, 4674, 543, 998, 741, 1184, 267, 3079, 540, 1152, 3168, 585, 968, 29798, 1848, 2353, 3214, 6560, 607, 789, 1332, 267, 855, 649, 917, 602, 3214, 609, 5312, 1928, 723, 1256, 811, 593, 741, 6676, 982, 6093, 6107, 269, 1717, 267, 789, 2503, 811, 540, 2933, 982, 798, 1034, 6107, 267, 865, 789, 2523, 1131, 4324, 689, 513, 12618, 9650, 3553, 563, 296, 1590, 16153, 267, 594, 2648, 10530, 269, 769, 1250, 5604, 267, 594, 723, 513, 4604, 593, 1250, 3774, 602, 568, 4904, 609, 10530, 827, 12618, 9650, 3553, 269, 901, 14820, 666, 4019, 547, 4376, 602, 513, 454, 17367, 568, 20678, 547, 798, 269, 1924, 267, 594, 2219, 594, 1131, 4734, 596, 609, 930, 540, 1250, 5172, 10530, 602, 949, 3391, 596, 538, 4543, 707, 1126, 593, 741, 3460, 2509, 513, 12618, 9650, 3553, 865, 602, 789, 949, 581, 1447, 5059, 593, 519, 1587, 543, 811, 593, 519, 1184, 563, 5319, 2809, 891, 10530, 2336, 2108, 18360, 633, 585, 3356, 269, 3502, 19870, 1848, 1107, 6424, 3131, 27476, 13616, 267, 11022, 454, 14881, 993, 2141, 3257, 1018, 594, 3112, 798, 2943, 538, 1931, 547, 1451, 875, 547, 798, 621, 1848, 1107, 27673, 11709, 717, 26710, 454, 2108, 2710, 711, 9794, 803, 676, 1250, 18454, 282, 9794, 803, 676, 875, 1082, 2053, 594, 8593, 1524, 543, 3893, 1394, 909, 1586, 1848, 1107, 20307, 13495, 11253, 454, 2108, 12179, 821, 945, 814, 2760, 1500, 513, 12161, 814, 2760, 6836, 4376, 1007, 1848, 1107, 15751, 18160, 454, 14881, 723, 711, 8959, 269, 594, 4076, 1175, 1336, 476, 1015, 267, 1822, 2081, 602, 4465, 1406, 960, 1848, 1107, 7338, 32525, 454, 2108, 29936, 616, 1018, 1118, 1272, 4277, 269, 28304, 873, 568, 1018, 2306, 1272, 6209, 1848, 1107, 26056, 808, 269, 13149, 454, 2108, 293, 9430, 568, 1175, 1776, 2262, 585, 3395, 3034, 2108, 2791, 723, 1152, 8959, 952, 596, 723, 2016, 909, 3034, 28490, 1544, 589, 4769, 1406, 960, 267, 519, 9904, 814, 476, 1839, 811, 5022, 267, 865, 3251, 3579, 28461, 24685, 519, 1647, 540, 7411, 6013, 4316, 1848, 1107, 15751, 18160, 454, 28490, 693, 1101, 596, 1810, 1406, 8011, 267, 596, 2461, 3339, 1848, 1107, 17718, 5518, 454, 2108, 9336, 22920, 6238, 609, 519, 3375, 547, 2119, 1848, 1107, 3627, 674, 269, 17394, 454, 29467, 568, 513, 3017, 1063, 711, 6616, 543, 711, 6616, 2943, 1848, 1107, 2701, 10042, 18578, 20393, 454, 14881, 1589, 269, 594, 2243, 269, 594, 4952, 269, 594, 1711, 269, 594, 6560, 269, 594, 12840, 269, 594, 2119, 269, 594, 3111, 269, 594, 6414, 269, 594, 2992, 269, 594, 1689, 269, 594, 1451, 1848, 0, 1320, 8557, 717, 1633, 17121, 12186, 616, 519, 1761, 8801, 2360, 602, 666, 2049, 607, 513, 1267, 540, 14524, 610, 20817, 538, 519, 11178, 14189, 269, 901, 1507, 18173, 11057, 14189, 4092, 538, 519, 8405, 4249, 513, 2629, 1909, 538, 15725, 519, 1560, 779, 10307, 269, 2368, 1455, 2427, 2360, 540, 11178, 14189, 2152, 1331, 9854, 267, 2597, 2744, 610, 2530, 267, 2242, 538, 14031, 267, 8417, 547, 4411, 610, 3002, 267, 4552, 2530, 267, 543, 3819, 2960, 269, 3958, 267, 2043, 949, 1995, 7099, 23638, 267, 4887, 8467, 267, 12150, 18492, 9979, 267, 543, 7411, 538, 23622, 269, 898, 568, 1271, 547, 4063, 602, 891, 2427, 2360, 666, 4268, 4470, 593, 2436, 519, 11178, 14189, 568, 936, 5562, 630, 30104, 628, 21633, 264, 610, 896, 5562, 630, 1506, 335, 1054, 21633, 1040, 7743, 5868, 543, 2126, 676, 513, 2564, 3318, 616, 1898, 538, 5883, 11178, 14189, 2427, 2360, 543, 19620, 3666, 547, 519, 1560, 779, 3252, 563, 763, 11178, 14189, 267, 513, 1507, 14189, 23401, 513, 11419, 995, 18173, 267, 568, 4092, 538, 519, 4395, 540, 519, 8405, 267, 1175, 2630, 519, 14088, 779, 11945, 269, 898, 4249, 513, 4105, 1909, 538, 6721, 10399, 602, 10038, 519, 1560, 779, 10307, 267, 2208, 267, 543, 1646, 269, 1879, 519, 11178, 14189, 14543, 547, 5352, 606, 7850, 2179, 540, 10399, 267, 621, 12153, 513, 2783, 1634, 607, 30847, 269, 17957, 267, 7050, 2504, 540, 10399, 5012, 547, 5409, 628, 21633, 269, 5637, 2175, 666, 2285, 4473, 547, 513, 2039, 540, 2427, 2360, 602, 666, 3648, 1764, 513, 1268, 779, 1134, 5630, 563, 763, 2427, 2360, 3361, 676, 11178, 14189, 14524, 666, 8915, 8335, 4470, 593, 2436, 519, 11178, 568, 896, 5562, 610, 936, 5562, 269, 1280, 30847, 267, 2043, 1419, 1995, 2597, 2744, 267, 9854, 267, 19228, 267, 4965, 267, 3819, 2960, 267, 543, 4552, 2530, 269, 2201, 519, 824, 1688, 267, 5409, 628, 21633, 949, 1267, 538, 6727, 2597, 2530, 267, 2799, 2295, 2557, 267, 8401, 1145, 267, 4160, 267, 7411, 12008, 267, 543, 7050, 24852, 269, 1452, 2360, 666, 7494, 27298, 513, 1268, 779, 2298, 540, 1272, 543, 2154, 2564, 6304, 585, 1697, 2359, 563, 13010, 267, 1312, 30847, 543, 5409, 628, 21633, 666, 1291, 547, 12680, 2152, 267, 12150, 28689, 267, 543, 8374, 1282, 6379, 269, 898, 568, 16122, 547, 3343, 2564, 3007, 952, 1022, 2589, 2404, 609, 11178, 14189, 14524, 10836, 269, 7216, 5868, 543, 2126, 666, 948, 13468, 891, 2427, 2360, 543, 2061, 2417, 8374, 563, 1103, 3932, 267, 519, 11178, 14189, 568, 513, 2629, 26273, 540, 1585, 15629, 3252, 267, 543, 1022, 14524, 666, 723, 1713, 2360, 269, 6787, 519, 11178, 568, 896, 5562, 610, 936, 5562, 267, 2043, 949, 1995, 513, 2647, 5044, 540, 2589, 602, 666, 1764, 741, 2168, 543, 2790, 1134, 5630, 269, 9861, 3222, 540, 891, 2360, 543, 5275, 2564, 6351, 950, 2556, 568, 1898, 547, 2327, 12905, 5868, 543, 3617, 2359, 540, 11178, 14189, 14524, 563, 763, 11178, 14189, 267, 4092, 538, 519, 8405, 267, 568, 513, 1507, 14189, 538, 519, 3337, 540, 513, 18173, 269, 898, 814, 513, 4105, 1909, 538, 15725, 519, 1560, 779, 10307, 676, 6721, 10399, 602, 1852, 1898, 3252, 269, 1452, 10399, 948, 2226, 1648, 2157, 267, 2295, 2557, 267, 1560, 2837, 267, 543, 2597, 563, 1320, 8557, 14189, 2427, 2360, 7854, 519, 8801, 4093, 540, 606, 936, 5562, 610, 896, 5562, 11178, 269, 15214, 628, 21633, 267, 519, 2783, 1141, 519, 11178, 14189, 568, 936, 5562, 267, 2164, 538, 7050, 2504, 540, 11178, 10399, 269, 901, 666, 8915, 607, 2589, 899, 513, 4028, 26470, 267, 2597, 2530, 267, 1726, 3387, 1782, 267, 4160, 267, 543, 29338, 269, 2201, 519, 14669, 267, 30847, 267, 606, 896, 5562, 11178, 267, 4386, 950, 13385, 10399, 616, 3812, 269, 901, 666, 1291, 547, 9854, 267, 2597, 2744, 267, 3819, 2960, 267, 4552, 2530, 267, 543, 4606, 540, 4965, 563, 24916, 891, 3119, 2175, 267, 11178, 14189, 4713, 666, 1764, 824, 15629, 1949, 269, 1280, 3236, 267, 12604, 2331, 11178, 10399, 666, 2014, 2242, 538, 519, 18492, 4783, 543, 12680, 538, 2043, 269, 932, 7995, 2157, 666, 849, 581, 4299, 267, 2810, 519, 1981, 540, 2295, 2068, 269, 10076, 1072, 2152, 899, 7099, 23638, 543, 5042, 23043, 616, 4122, 2404, 609, 20817, 538, 519, 11178, 14189, 563, 1103, 3932, 267, 519, 11178, 14189, 568, 2629, 538, 15725, 1585, 15629, 3252, 269, 1955, 4472, 1734, 538, 9449, 2504, 666, 1267, 538, 513, 2647, 2039, 540, 2427, 2360, 602, 1860, 10307, 267, 9025, 1072, 267, 2790, 1134, 5630, 267, 543, 12680, 269, 1677, 3927, 4383, 11178, 14189, 2427, 2360, 267, 621, 568, 4105, 547, 3343, 2564, 5796, 543, 3489, 1697, 2126, 563, 5472, 538, 782, 267, 519, 11178, 14189, 568, 513, 1507, 2943, 14984, 14189, 13883, 538, 519, 8405, 602, 4249, 513, 4105, 1909, 538, 15725, 1585, 15629, 3252, 269, 1717, 267, 950, 713, 14189, 3587, 2901, 936, 5562, 610, 896, 5562, 267, 621, 666, 1291, 547, 513, 2039, 540, 19888, 1600, 2360, 543, 1072, 8374, 563, 29730, 628, 21633, 267, 849, 1634, 607, 606, 936, 5562, 11178, 14189, 267, 666, 1267, 538, 513, 21318, 540, 2589, 971, 607, 7050, 2597, 2530, 267, 606, 18965, 26470, 267, 15398, 4160, 267, 1527, 2224, 24852, 267, 543, 29338, 269, 14904, 21679, 609, 713, 2783, 949, 849, 1995, 7965, 538, 3207, 3270, 267, 16757, 8467, 267, 543, 606, 2799, 8417, 547, 1164, 5210, 269, 769, 4049, 2665, 267, 621, 949, 1256, 1291, 547, 4049, 8374, 899, 9025, 2042, 267, 21404, 267, 543, 2152, 7133, 519, 4064, 563, 29797, 1054, 21633, 267, 598, 14287, 267, 1098, 335, 2231, 950, 519, 11178, 14189 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 607, 1454, 547, 2911, 827, 282, 621, 1797, 1152, 602, 596, 1205, 547, 2911, 827, 519, 1482, 1919, 7466, 563, 3719, 1934, 779, 1945, 9642, 281, 6884, 2152, 602, 3100, 9597, 5652, 543, 2352, 538, 519, 1893, 540, 519, 4928, 1831, 2312, 543, 2241, 538, 519, 1893, 540, 519, 2713, 4055, 267, 543, 3006, 519, 9258, 568, 3020, 563, 1607, 5267, 602, 3237, 543, 24192, 723, 513, 2603, 547, 4001, 1142, 26816, 341, 338, 7921, 269, 2334, 779, 1018, 713, 1433, 568, 827, 269, 898, 779, 513, 15429, 1740, 540, 3594, 827, 2152, 2443, 2596, 1480, 2152, 899, 14619, 543, 5126, 543, 5539, 2443, 602, 1312, 3237, 543, 24192, 616, 7142, 547, 13720, 269, 898, 779, 827, 3741, 540, 1318, 543, 4636, 799, 616, 6654, 547, 1169, 2385, 267, 855, 1590, 581, 6026, 547, 1259, 1189, 1453, 543, 1259, 1189, 24192, 269, 0, 763, 21312, 726, 659, 731, 729, 19259, 5944, 5187, 2065, 2943, 30140, 26374, 563, 10454, 1158, 2115, 811, 4708, 2437, 621, 1224, 267, 934, 5034, 676, 513, 1688, 1673, 22148, 26841, 540, 519, 4583, 1079, 1922, 5424, 834, 701, 864, 1129, 2437, 513, 834, 19651, 8296, 585, 11082, 257, 17083, 543, 2759, 13050, 11147, 540, 8575, 32257, 717, 8518, 328, 267, 519, 2136, 2276, 7167, 20738, 543, 2147, 24221, 563, 24679, 781, 9410, 13162, 3751, 12789, 269, 4303, 2437, 6035, 922, 17082, 267, 1762, 7812, 4498, 6202, 267, 538, 519, 1330, 1399, 731, 540, 519, 21984, 13530, 5398, 7732, 11728, 269, 834, 3891, 729, 513, 812, 945, 4339, 539, 585, 5126, 269, 1656, 602, 781, 519, 5048, 540, 1250, 1129, 4799, 2005, 729, 519, 3308, 7583, 332, 1588, 540, 513, 1554, 540, 1565, 538, 519, 4498, 6202, 1753, 563, 257, 9336, 1032, 267, 594, 1832, 1864, 856, 540, 1153, 2437, 1767, 7812, 781, 3993, 267, 12253, 548, 4498, 6202, 269, 834, 6546, 1259, 649, 2731, 8956, 519, 6891, 540, 519, 9702, 269, 1284, 4585, 32026, 543, 1865, 873, 267, 547, 1118, 2386, 646, 17358, 1018, 9410, 13162, 3751, 11542, 585, 543, 1946, 649, 1058, 8956, 1864, 563, 21893, 1032, 267, 1631, 602, 646, 781, 513, 2370, 3787, 4587, 267, 646, 1767, 267, 1412, 6701, 649, 2469, 547, 798, 606, 2534, 286, 262, 1924, 267, 649, 1500, 930, 1148, 267, 543, 602, 781, 519, 1129, 646, 786, 581, 8876, 4799, 19285, 1705, 621, 782, 676, 8885, 2437, 7812, 5587, 1881, 269, 834, 9515, 1175, 5280, 513, 2370, 4799, 7212, 1762, 7812, 4498, 6202, 4769, 1405, 7390, 5049, 11728, 267, 519, 4245, 646, 543, 1010, 3993, 3838, 786, 4196, 1864, 1134, 585, 519, 1964, 540, 1010, 1272, 563, 2414, 2892, 1393, 543, 3314, 9410, 13162, 3751, 12789, 269, 593, 519, 5313, 9702, 11280, 538, 1010, 8956, 267, 7812, 543, 1010, 3993, 8678, 476, 4037, 4272, 1218, 540, 782, 6502, 543, 14797, 593, 513, 3460, 998, 519, 5742, 22971, 19866, 10588, 547, 4432, 623, 29301, 334, 3778, 7467, 281, 606, 4630, 720, 547, 519, 8978, 22415, 1127, 540, 519, 6406, 7126, 11873, 540, 799, 3751, 11542, 4395, 543, 4099, 563, 22117, 532, 519, 1184, 542, 729, 1776, 2875, 267, 5840, 19395, 267, 945, 5645, 519, 1453, 781, 547, 1889, 834, 296, 5620, 513, 14134, 257, 538, 835, 1688, 543, 606, 1977, 9206, 538, 519, 824, 563, 11900, 728, 4432, 623, 29301, 334, 9754, 267, 3135, 540, 11728, 781, 16066, 298, 4303, 1982, 23032, 676, 519, 19364, 3722, 303, 623, 29301, 334, 25032, 543, 623, 29301, 334, 10579, 658, 26665, 23050, 267, 5840, 1224, 32461, 689, 3751, 781, 11599, 4633, 602, 3177, 519, 1433, 609, 922, 2140, 267, 609, 513, 8284, 1762, 16159, 267, 13744, 25070, 623, 690, 5459, 267, 9306, 547, 519, 476, 1220, 13807, 639, 2178, 19922, 930, 540, 519, 9976, 3540, 2924, 6205, 781, 1034, 7096, 10530, 912, 257, 4504, 3485, 775, 7132, 1915, 2443, 602, 568, 519, 3804, 540, 3020, 2069, 4799, 24281, 3286, 823, 9170, 568, 513, 3463, 547, 5126, 10876, 4799, 257, 12148, 4708, 568, 711, 8806, 519, 9000, 540, 8082, 282, 621, 568, 519, 4527, 540, 5126, 4799, 257, 5978, 2729, 2253, 547, 1439, 519, 1554, 649, 1831, 14980, 827, 519, 1919, 602, 2339, 4799, 4322, 3532, 1913, 540, 7326, 941, 1264, 7757, 676, 513, 2295, 342, 9879, 6881, 267, 689, 513, 14415, 564, 540, 6153, 9519, 3427, 1053, 267, 540, 5289, 2338, 602, 3769, 834, 7883, 15681, 898, 593, 519, 13738, 257, 543, 834, 310, 1228, 538, 519, 4826, 4799, 257, 5978, 1445, 568, 2899, 1586, 593, 938, 6107, 2437, 681, 2135, 13860, 27963, 267, 7022, 540, 519, 19364, 3722, 303, 623, 29301, 334, 25032, 267, 1767, 1991, 547, 11728, 781, 862, 655, 2610, 269, 834, 2171, 1616, 547, 1205, 519, 1762, 1004, 7722, 267, 865, 789, 616, 3222, 540, 1018, 3576, 1747, 538, 519, 2250, 267, 543, 547, 8275, 602, 1018, 649, 723, 2221, 7012, 1406, 1175, 2016, 547, 721, 593, 513, 8988, 726, 2660, 4799, 6546, 811, 1453, 941, 711, 1459, 547, 8956, 3751, 543, 1010, 9371, 26693, 593, 19710, 4759, 4860, 269, 12389, 7723, 623, 690, 5459, 563, 257, 2026, 513, 5313, 9702, 267, 594, 1491, 4063, 602, 519, 5313, 2229, 568, 6806, 282, 1533, 267, 10315, 543, 2749, 2229, 616, 6806, 269, 1656, 2943, 3506, 616, 1930, 2437, 623, 690, 5459, 1767, 269, 834, 296, 1491, 4063, 602, 972, 616, 1447, 1453, 1934, 2221, 982, 1131, 723, 1044, 952, 519, 3506, 941, 6806, 563, 19285, 798, 711, 6999, 547, 13889, 1985, 1032, 269, 1809, 594, 993, 13889, 532, 713, 1032, 4799, 300, 1173, 15756, 19159, 267, 13030, 7022, 540, 519, 623, 29301, 334, 3427, 10588, 476, 2568, 4604, 540, 2069, 267, 5340, 606, 22192, 4612, 633, 3979, 7544, 547, 519, 3044, 834, 303, 3285, 748, 7083, 6875, 3733, 7435, 267, 799, 3366, 547, 606, 2232, 676, 519, 1982, 781, 1883, 16694, 10584, 267, 7917, 16026, 267, 13030, 7022, 540, 519, 28631, 10579, 658, 19137, 563, 291, 32713, 10704, 1010, 24616, 1472, 3751, 781, 968, 296, 4312, 2142, 523, 547, 519, 6778, 5593, 641, 892, 4633, 267, 9447, 538, 1489, 540, 11495, 19455, 4600, 538, 6490, 874, 529, 267, 17906, 267, 547, 2566, 519, 2956, 540, 2804, 16882, 538, 519, 13287, 540, 519, 1977, 14134, 563, 10454, 3390, 3884, 1405, 2436, 610, 711, 3013, 814, 2614, 2724, 269, 1284, 723, 2614, 2724, 547, 6749, 5479, 1673, 20683, 23038, 16382, 649, 1616, 547, 2437, 16026, 1767, 269, 834, 763, 2243, 568, 281, 7316, 616, 649, 2469, 547, 6108, 519, 2724, 602, 649, 723, 286, 1306, 24273, 267, 607, 25743, 267, 607, 17051, 267, 607, 16543, 267, 11122, 2510, 267, 5391, 5644, 281, 8726, 6003, 596, 1616, 547, 2285, 269, 1284, 4312, 1044, 19163, 519, 4636, 2152, 563, 10454, 4661, 3884, 1405, 267, 1412, 3674, 972, 2614, 2724, 286, 262, 634, 4661, 568, 267, 1412, 8489, 616, 649, 607, 513, 4182, 2469, 547, 6108, 519, 2724, 602, 649, 723, 286, 7316, 616, 649, 2469, 547, 2759, 267, 543, 1141, 616, 649, 2469, 547, 1039, 286, 7316, 616, 649, 2469, 547, 3666, 267, 543, 1141, 616, 649, 2469, 547, 7941, 286, 262, 4840, 21914, 267, 16026, 1767, 267, 5156, 602, 519, 1985, 1900, 538, 519, 6406, 7126, 11873, 834, 13195, 585, 721, 547, 2119, 547, 3142, 827, 513, 1978, 2179, 540, 2804, 5126, 267, 513, 1978, 2179, 540, 7862, 269, 1656, 594, 3494, 649, 723, 2965, 1036, 5962, 689, 519, 2395, 540, 3751, 267, 2523, 519, 3979, 1977, 2146, 563, 257, 21914, 5018, 602, 538, 519, 2749, 540, 6490, 874, 529, 538, 476, 3422, 279, 267, 972, 941, 5722, 3979, 1977, 24804, 8492, 269, 4653, 267, 649, 723, 1152, 2947, 3979, 1977, 24804, 8492, 538, 519, 3003, 2136, 2276, 1701, 0, 14011, 17395, 24199, 19532, 22003, 17692, 589, 21096, 313, 313, 299, 5058, 966, 8016, 5723, 8085, 14473, 4959, 22400, 23370, 2839, 2207, 2969, 9331, 2336, 27670, 540, 22101, 328, 2100, 454, 24552, 7404, 22101, 328, 2100, 454, 7078, 5220, 689, 519, 5680, 585, 22101, 328, 2100, 454, 4517, 668, 20364, 729, 519, 8250, 540, 595, 788, 515, 639, 267, 4622, 540, 18629, 267, 543, 540, 18706, 328, 2100, 563, 6097, 547, 519, 2025, 13299, 267, 621, 729, 711, 1325, 6827, 529, 267, 855, 18706, 328, 2100, 267, 945, 729, 1767, 547, 581, 1412, 560, 749, 1881, 9538, 2419, 29694, 781, 3718, 267, 11730, 476, 274, 630, 1993, 476, 278, 31206, 10481, 32015, 932, 29694, 454, 2005, 568, 519, 1482, 3845, 547, 570, 1861, 636, 689, 1776, 1596, 2632, 800, 811, 547, 519, 5045, 982, 18706, 328, 2100, 267, 799, 568, 1572, 1912, 531, 659, 5300, 563, 4002, 1250, 1164, 7823, 15211, 594, 1832, 4573, 18146, 267, 834, 290, 817, 328, 2100, 267, 22101, 328, 2100, 1701, 7069, 3689, 14400, 538, 519, 23683, 347, 11990, 16334, 597, 454, 290, 817, 328, 2100, 1630, 16556, 602, 1352, 543, 1200, 8250, 941, 811, 4190, 982, 9947, 334, 543, 519, 715, 699, 1749, 269, 0, 314, 1093, 327, 560, 2987, 268, 706, 26387, 2389, 872, 268, 7795, 331, 23378, 270, 476, 391, 490, 17763, 390, 488, 560, 476, 22688, 333, 16659, 323, 390, 490, 338, 2468, 476, 16745, 331, 1315, 454, 1993, 267, 11341, 547, 267, 610, 8984, 540, 606, 5736, 1739, 22713, 281, 634, 4346, 540, 519, 2022, 8114, 12009, 2486, 568, 1759, 593, 519, 11865, 540, 2533, 2864, 982, 593, 519, 5478, 540, 5370, 563, 14011, 17395, 24199, 19532, 22003, 17692, 589, 21096, 313, 313, 299, 5058, 966, 8016, 5723, 8085, 14473, 4959, 22400, 23370, 2839, 2207, 2969, 9331, 2336, 5970, 519, 9293, 540, 519, 4303, 689, 5239, 476, 866, 1700, 1839, 267, 476, 1708, 271, 267, 1500, 606, 30170, 1665, 593, 707, 3965, 286, 6875, 519, 7688, 547, 1265, 856, 2336, 9223, 476, 272, 540, 476, 278, 454, 1432, 1281, 968, 2193, 618, 892, 1611, 888, 30862, 2207, 20796, 9169, 20978, 2022, 8114, 12009, 14006, 6440, 514, 6440, 323, 639, 6440, 28256, 6440, 531, 6440, 626, 267, 10902, 454, 24552, 7404, 2022, 8114, 12009, 454, 291, 5315, 2593, 1133, 30457, 9122, 593, 519, 15932, 5600, 1133, 30457, 9218, 267, 9736, 15932, 5600, 267, 5549, 269, 476, 1708, 271, 454, 23873, 9218, 8847, 585, 2022, 8114, 12009, 454, 270, 630, 391, 490, 335, 16745, 390, 488, 560, 22688, 333, 16659, 323, 390, 490, 1598, 22688, 16745, 331, 264, 1315, 454, 30726, 2065, 540, 267, 11341, 547, 267, 610, 3954, 7627, 960, 610, 513, 2486, 602, 568, 1100, 3476, 1759, 593, 5230, 2872, 454, 31890, 2296, 9218, 910, 13159, 1299, 1133, 30457, 476, 1001, 273, 7913, 9990, 9736, 5261, 19811, 25860, 1299, 3213, 269, 13456, 269, 476, 3192, 280, 267, 476, 2735, 277, 9736, 22489, 31890, 23255, 476, 1960, 279, 267, 476, 1220, 271, 267, 476, 1220, 274, 267, 476, 1220, 276, 267, 476, 1220, 277, 267, 476, 1220, 278, 267, 476, 1220, 280, 267, 476, 1001, 273, 0, 31596, 14714, 323, 19906, 267, 7852, 815, 7183, 264, 2433, 30770, 519, 3044, 11539, 540, 519, 2016, 1239, 630, 6783, 2609, 264, 2059, 519, 9138, 7852, 263, 604, 1022, 1040, 563, 24092, 8061, 2747, 630, 16256, 264, 568, 6027, 607, 519, 3262, 540, 1239, 3892, 538, 519, 2016, 1239, 1305, 563, 2690, 1383, 10778, 343, 815, 476, 272, 476, 272, 476, 272, 476, 272, 476, 272, 9208, 8061, 2747, 815, 476, 271, 1547, 586, 815, 476, 280, 267, 476, 273, 267, 476, 276, 267, 476, 275, 267, 476, 1321, 267, 476, 278, 267, 476, 279, 267, 476, 1556, 267, 476, 280, 267, 476, 274, 267, 476, 278, 267, 476, 275, 267, 476, 1321, 267, 476, 276, 267, 476, 275, 267, 476, 1015, 267, 476, 280, 267, 476, 277, 267, 476, 280, 267, 476, 275, 5153, 476, 272, 2433, 6399, 540, 3892, 476, 275, 815, 476, 278, 5153, 476, 273, 2433, 5681, 332, 566, 540, 630, 343, 910, 1535, 32557, 28829, 1262, 273, 815, 476, 9965, 5153, 476, 274, 2433, 15531, 6399, 815, 476, 9965, 1315, 736, 815, 476, 279, 269, 280, 901, 28088, 568, 7352, 766, 269, 5153, 476, 275, 2433, 9208, 8061, 2747, 815, 21762, 263, 24868, 766, 264, 815, 21762, 263, 279, 269, 280, 264, 815, 476, 273, 269, 7176, 274, 10756, 1551, 2433, 1496, 6783, 318, 3697, 316, 6358, 5044, 563, 9471, 2433, 1496, 842, 610, 8913, 1255, 540, 703, 316, 9471, 2059, 799, 649, 1616, 547, 5173, 519, 3044, 11539, 269, 19227, 267, 621, 786, 2015, 2855, 547, 581, 24609, 539, 630, 4103, 593, 782, 519, 7852, 1040, 7852, 815, 476, 271, 1797, 12676, 2059, 519, 6241, 543, 7852, 815 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1692, 547, 960, 2922, 538, 2679, 543, 4070, 454, 7230, 5407, 281, 6969, 596, 1376, 713, 1565, 10189, 596, 991, 547, 723, 6192, 519, 2489, 9074, 540, 4518, 306, 12522, 12829, 31161, 269, 1924, 952, 596, 10093, 1405, 267, 2824, 2489, 9074, 543, 1205, 547, 621, 2336, 12441, 596, 917, 602, 865, 1082, 1004, 616, 7166, 543, 1169, 1032, 593, 4070, 4609, 602, 568, 621, 2808, 513, 1164, 1981, 2872, 888, 17746, 2315, 4609, 616, 2141, 4657, 269, 589, 3135, 602, 568, 2922, 835, 1554, 949, 711, 581, 2922, 519, 1985, 269, 634, 4070, 2872, 568, 835, 540, 519, 1034, 5906, 547, 960, 538, 267, 865, 596, 991, 547, 2628, 3007, 782, 519, 942, 563, 268, 707, 16108, 1058, 1118, 2386, 3937, 568, 1134, 9738, 267, 596, 616, 5265, 8036, 543, 723, 513, 4544, 3556, 267, 616, 24892, 543, 2016, 5528, 585, 2922, 960, 5773, 454, 268, 596, 1058, 1246, 2922, 2324, 5773, 543, 5957, 519, 623, 14154, 3177, 454, 2791, 616, 827, 547, 1265, 856, 827, 912, 268, 15822, 960, 1505, 6898, 32434, 984, 3106, 2079, 454, 268, 32126, 748, 6878, 454, 268, 7557, 10320, 543, 3937, 454, 268, 15015, 7829, 454, 268, 6129, 14315, 543, 3002, 2566, 454, 3918, 300, 4932, 21612, 8946, 2562, 298, 6347, 25539, 590, 4456, 454, 268, 20128, 519, 9651, 454, 268, 8178, 519, 1981, 454, 268, 5269, 519, 2242, 454, 5649, 811, 827, 519, 2679, 543, 4070, 2872, 269, 0, 21698, 689, 8419, 547, 519, 654, 269, 28851, 267, 1419, 513, 8265, 9544, 538, 16127, 269, 634, 3762, 723, 513, 5070, 17549, 9403, 543, 519, 5810, 616, 2620, 2699, 11399, 1052, 563, 12812, 593, 519, 1893, 547, 2070, 1455, 4408, 563, 13349, 18780, 538, 2296, 912, 2704, 4141, 8381, 267, 1323, 659, 1695, 3726, 320, 267, 1323, 659, 25352, 267, 2983, 9528, 10326, 267, 2983, 580, 1068, 872, 267, 15168, 13203, 10326, 267, 14066, 30071, 2378, 2983, 580, 1068, 872, 267, 14066, 29566, 2983, 580, 1068, 872, 267, 21060, 2983, 9528, 10326, 267, 25753, 2280, 24778, 807, 454, 13349, 18780, 538, 3943, 912, 289, 12251, 681, 5889, 701, 267, 4425, 529, 681, 5889, 701, 267, 2398, 684, 1512, 590, 2946, 12895, 324, 267, 590, 2946, 12895, 1512, 454, 13349, 18780, 538, 4436, 912, 13349, 18780, 538, 14082, 912, 13349, 18780, 538, 5053, 912, 2304, 659, 1695, 3726, 320, 267, 1323, 659, 25352, 267, 11184, 545, 1774, 2349, 534, 1723, 454, 267, 536, 1329, 333, 658, 267, 610, 5993, 454, 267, 1447, 1419, 561, 1014, 553, 267, 19211, 454, 267, 610, 4054, 454, 267, 2356, 1490, 626, 569, 454, 528, 1085, 629, 9317, 1790, 25683, 1417, 269, 27817, 2241, 454, 267, 14595, 267, 10355, 6587, 267, 3003, 610, 1583, 3433, 693, 14345, 454, 269, 769, 4148, 2803, 322, 1878, 1419, 5595, 454, 2675, 528, 7032, 1355, 524, 2096, 525, 267, 10355, 22072, 282, 536, 847, 338, 1459, 610, 15534, 269, 26540, 25251, 454, 267, 10355, 1990, 17789, 25806, 269, 2836, 344, 343, 2356, 476, 276, 12268, 539, 610, 10981, 539, 454, 267, 6140, 10770, 454, 269, 4856, 3326, 320, 8685, 983, 454, 267, 17967, 267, 1187, 6773, 845, 454, 267, 610, 2892, 591, 845, 454, 276, 267, 10355, 811, 267, 6140, 25671, 6134, 267, 10355, 15534, 267, 3006, 513, 8258, 454, 30005, 282, 18215, 2356, 476, 276, 12268, 539, 282, 10981, 525, 454, 1478, 331, 6260, 267, 10355, 27390, 538, 5229, 269, 853, 600, 839, 476, 276, 267, 17332, 454, 517, 1351, 3326, 320, 8546, 610, 10355, 693, 11563, 454, 528, 10355, 608, 338, 1068, 539, 282, 606, 750, 338, 454, 267, 476, 273, 2000, 665, 27968, 267, 2356, 21053, 604, 12089, 454, 267, 1447, 1419, 1199, 604, 12089, 454, 267, 632, 327, 4593, 775, 19976, 454, 269, 715, 624, 2456, 693, 3490, 540, 1351, 3326, 320, 8546, 610, 593, 1167, 2630, 9065, 776, 269, 29191, 776, 9120, 267, 476, 273, 2275, 17369, 749, 622, 282, 1327, 2737, 476, 273, 543, 1142, 609, 476, 273, 9065, 2737, 267, 610, 476, 275, 543, 1142, 609, 476, 272, 9065, 2544, 282, 9065, 2737, 5176, 693, 1886, 748, 454, 267, 5033, 1014, 520, 1886, 748, 267, 610, 20133, 1886, 748, 454, 269, 13910, 12363, 454, 267, 4839, 3481, 610, 711, 269, 717, 2106, 984, 848, 454, 267, 610, 1016, 3634, 454, 269, 22500, 476, 272, 268, 275, 5498, 17660, 546, 745, 6647, 610, 2428, 7410, 454, 263, 1337, 541, 1186, 264, 6902, 2428, 7410, 6140, 3819, 267, 1419, 15022, 3512, 539, 609, 12209, 454, 267, 533, 4459, 956, 543, 5924, 1350, 5255, 1749, 630, 560, 858, 1490, 30178, 454, 528, 19671, 3697, 4388, 454, 264, 1547, 25994, 7299, 454, 332, 19830, 534, 748, 282, 21872, 2786, 267, 1447, 1419, 17208, 454, 282, 28422, 344, 1194, 976, 6366, 267, 15123, 1506, 454, 10666, 476, 14444, 25281, 543, 476, 7742, 271, 2249, 281, 22465, 543, 9341, 4525, 2073, 10704, 538, 519, 11335, 3148, 282, 476, 5325, 25281, 543, 476, 29848, 2249, 538, 3624, 267, 540, 799, 2185, 25281, 543, 476, 14444, 2249, 616, 21049, 563, 269, 27817, 14595, 267, 10355, 6587, 267, 2356, 10423, 569, 4620, 2723, 622, 454, 550, 790, 610, 1583, 3433, 267, 10355, 10981, 539, 454, 269, 595, 2096, 525, 6140, 524, 800, 3387, 846, 454, 269, 26540, 25251, 454, 267, 4749, 10636, 739, 2643, 748, 610, 13008, 1599, 958, 796, 21361, 454, 269, 2836, 344, 343, 8685, 983, 454, 267, 23762, 1310, 1884, 4185, 454, 269, 4856, 3326, 320, 3043, 267, 5835, 267, 610, 10538, 268, 1042, 267, 3786, 534, 3634, 547, 1187, 6773, 845, 454, 267, 2356, 630, 275, 268, 610, 264, 476, 276, 8987, 279, 264, 910, 331, 984, 539, 282, 10981, 525, 454, 528, 9888, 1386, 269, 853, 600, 839, 2356, 1134, 2919, 282, 2083, 14613, 454, 269, 29191, 776, 476, 275, 2000, 665, 27968, 267, 1350, 629, 9317, 454, 282, 9065, 2544, 476, 272, 829, 1327, 2544, 269, 13910, 7466, 476, 273, 268, 2193, 1111, 267, 1142, 7936, 454, 5976, 513, 22883, 3634, 454, 528, 1698, 10028, 16663, 269, 667, 745, 6647, 9065, 1355, 454, 267, 610, 14248, 760, 810, 573, 454, 267, 4749, 609, 1216, 344, 610, 20202, 15123, 1506, 454, 663, 536, 3415, 1439, 665, 17369, 267, 10355, 609, 524, 1251, 344, 8544, 665, 17369, 610, 2428, 3697, 1510, 15123, 1506, 8544, 665, 17369, 269, 25994, 476, 272, 268, 275, 267, 1510, 1439, 657, 11279, 282, 28422, 344, 1194, 976, 726, 6510, 454, 10666, 476, 23283, 2249, 281, 6140, 538, 21050, 923, 540, 3345, 543, 3162, 3013, 267, 14605, 6719, 538, 4000, 543, 5607, 282, 2947, 2249, 538, 3624, 563, 295, 629, 527, 281, 10326, 2073, 1744, 13041, 454, 23044, 619, 281, 25204, 11270, 281, 5130, 267, 5988, 267, 4728, 267, 4989, 267, 2904, 267, 4873, 267, 5147, 267, 4864, 267, 5181, 267, 5239, 267, 5437, 267, 5412, 269, 3040, 27003, 7822, 281, 10538, 454, 23917, 281, 476, 1428, 268, 736, 262, 7381, 563, 23777, 1227, 1336, 538, 519, 954, 339, 10537, 7997, 693, 519, 1216, 781, 6316, 693, 513, 1611, 3845, 689, 4262, 1377, 540, 910, 1001, 7397, 11196, 4792, 279, 3952, 1916, 290, 11857, 281, 6611, 476, 1321, 268, 1428, 257, 6306, 563, 3383, 559, 281, 29358, 9063, 281, 476, 276, 269, 277, 3040, 26228, 9063, 281, 476, 277, 269, 276, 454, 26422, 2775, 281, 6129, 22452, 281, 6129, 547, 3487, 658, 1744, 1228, 563, 307, 17687, 281, 12019, 10434, 1465, 281, 476, 1015, 320, 267, 476, 1015, 321, 267, 476, 1556, 269, 630, 14090, 994, 268, 1733, 8636, 6033, 1299, 12540, 592, 529, 267, 3192, 279, 454, 268, 670, 2801, 1188, 601, 267, 476, 5908, 277, 454, 268, 595, 10052, 1512, 4149, 19431, 267, 476, 2735, 272, 454, 268, 16429, 2254, 339, 267, 476, 4350, 276, 608, 595, 10052, 1512, 4149, 19431, 267, 476, 1960, 279, 454, 268, 966, 6018, 12518, 454, 268, 8230, 4459, 1299, 595, 8735, 267, 476, 1960, 278, 454, 268, 645, 3994, 14269, 691, 267, 476, 7277, 274, 454, 268, 4427, 5035, 281, 589, 3122, 13160, 20465, 910, 28635, 6255, 1690, 534, 267, 476, 3422, 278, 454, 268, 4147, 281, 590, 704, 3901, 3591, 5866, 20465, 910, 645, 3994, 14269, 691, 267, 476, 7277, 274, 454, 268, 5606, 1429, 23796, 281, 7101, 9332, 3591, 525, 20465, 910, 8230, 4459, 1299, 595, 8735, 267, 476, 1960, 278, 454, 268, 4427, 874, 23796, 281, 661, 340, 19148, 961, 4451, 339, 2088, 630, 994, 268, 623, 17222, 636, 281, 570, 2350, 515, 4451, 3279, 20465, 910, 16429, 2254, 339, 267, 476, 4350, 276, 608, 595, 10052, 1512, 4149, 19431, 267, 476, 1960, 279, 910, 966, 6018, 12518, 454, 268, 4427, 6362, 3256, 281, 5164, 13160, 8690, 2801, 20465, 910, 595, 10052, 1512, 4149, 19431, 267, 476, 2735, 272, 454, 268, 8003, 281, 7233, 2801, 20465, 910, 670, 2801, 1188, 601, 267, 476, 5908, 277, 910, 12518, 454, 5353, 12895, 523, 694, 12895, 6511, 630, 299, 4700, 2826, 339, 269, 1401, 9540, 454, 1805, 9850, 281, 20504, 539, 8745, 454, 8310, 22987, 281, 476, 1428, 5336, 541, 268, 1220, 271, 454, 300, 20047, 540, 519, 12593, 24778, 807, 454, 313, 760, 13892, 313, 5622, 814, 3817, 585, 476, 4097, 2249, 267, 28849, 267, 8677, 267, 3029, 267, 543, 28212, 538, 713, 12593, 912, 290, 269, 782, 1675, 7702, 630, 24426, 2181, 264, 5788, 595, 269, 2587, 755, 604, 16288, 630, 15368, 7702, 264, 5788, 595, 269, 536, 1695, 600, 18424, 630, 289, 1695, 4821, 2494, 329, 871, 264, 5788, 595, 269, 11350, 517, 529, 630, 32513, 335, 20634, 2494, 329, 871, 264, 5788, 595, 269, 1630, 1170, 1512, 328, 630, 2304, 659, 1695, 3726, 320, 264, 5788, 595, 269, 18664, 22055, 18424, 630, 300, 2317, 1723, 264, 5788, 595, 269, 2458, 25497, 8619, 630, 5141, 20632, 22216, 787, 264, 5788, 595, 269, 1232, 18588, 630, 27793, 21034, 264, 5788, 595, 269, 27524, 582, 5448, 630, 293, 4048, 7949, 2494, 329, 871, 264, 5788, 595, 269, 546, 1712, 322, 18588, 630, 4692, 531, 23176, 264, 5788, 595, 269, 12908, 2444, 13183, 639, 630, 312, 879, 1723, 264, 5788, 595, 269, 5895, 6242, 630, 26108, 9440, 264, 5788, 595, 269, 5895, 6242, 15254, 269, 5895, 6242, 630, 290, 340, 2350, 26820, 17312, 264, 5788, 595, 269, 5895, 6242, 15254, 269, 1208, 18442, 630, 290, 340, 2350, 26820, 17312, 264, 5788, 595, 269, 561, 2801, 341, 580, 1092, 630, 10908, 1601, 344, 24778, 807, 264, 5788, 595, 269, 1929, 320, 630, 299, 6359, 320, 264, 5788, 595, 269, 561, 1393, 320, 630, 300, 8500, 8500, 334, 264, 5788, 595, 269, 1984, 523, 4512, 630, 291, 5300, 10326, 264, 5788, 595, 269, 1250, 343, 320, 630, 10112, 344, 6929, 1773, 636, 264, 5788, 595, 269, 21933, 1172, 320, 630, 5141, 20632, 22216, 787, 264, 5788, 595, 269, 3443, 600, 18424, 630, 295, 8543, 20233, 6441, 599, 264, 5788, 595, 269, 1612, 341, 604, 16288, 630, 28012, 23516, 24778, 807, 264, 5788, 595, 269, 3531, 2814, 344, 3464, 320, 630, 26156, 3979, 24778, 807, 264, 5788, 595, 269, 10540, 334, 576, 874, 8403, 630, 307, 1410, 553, 2494, 329, 871, 264, 5788, 595, 269, 4874, 576, 874, 8403, 630, 14937, 4149, 720, 264, 5788, 595, 269, 678, 1157, 572, 14982, 328, 630, 26596, 19258, 565, 727, 264, 5788, 595, 269, 678, 1575, 545, 7637, 630, 303, 340, 15300, 681, 4618, 2494, 329, 871, 264, 5788, 595, 269, 2892, 545, 604, 16288, 630, 2419, 320, 1546, 645, 1872, 516, 264, 5788, 595, 269, 694, 12895, 6511, 630, 2704, 4141, 8381, 264, 5788, 595, 269, 23658, 867, 1092, 630, 298, 537, 264, 5788, 595, 269, 521, 592, 322, 1092, 630, 300, 1075, 18382, 2494, 329, 871, 264, 5788, 595, 269, 8231, 523, 25445, 630, 11293, 9366, 645, 1446, 5028, 264, 5788, 595, 269, 530, 698, 1676, 1640, 636, 630, 299, 340, 638, 21034, 13738, 2494, 329, 871, 264, 5788, 595, 269, 530, 698, 1676, 28262, 630, 299, 340, 638, 21034, 13738, 2494, 329, 871, 994, 268, 9612, 585, 24436, 281, 2592, 269, 2998, 4355, 2593, 454, 268, 9612, 585, 7647, 8765, 15080, 281, 5616, 10104, 454, 268, 589, 18508, 540, 2494, 10042, 1315, 2494, 10042, 281, 13163, 540, 24614, 267, 476, 4489, 273, 267, 476, 3192, 275, 8228, 269, 29250, 4586, 268, 589, 18508, 540, 2494, 10042, 267, 676, 661, 269, 667, 269, 8585, 18115, 269, 2494, 10042, 267, 13163, 540, 24614, 267, 476, 4489, 273, 269, 29250, 533, 269, 476, 4375, 274, 563, 268, 589, 2689, 540, 519, 1541 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3845, 689, 782, 519, 2101, 18845, 543, 1185, 5140, 8039, 269, 5047, 267, 519, 3902, 729, 1134, 1369, 741, 6578, 269, 9453, 2417, 740, 334, 267, 789, 1433, 539, 519, 1747, 543, 23362, 19179, 1243, 741, 7552, 780, 4002, 519, 1554, 540, 741, 22576, 267, 789, 8452, 693, 519, 19887, 1950, 543, 1558, 741, 3984, 267, 8861, 269, 2701, 30870, 873, 27145, 543, 4951, 873, 1472, 519, 3959, 267, 10223, 922, 2934, 543, 29319, 269, 1306, 1352, 19942, 936, 519, 10569, 267, 1352, 5018, 602, 1200, 7023, 267, 6004, 269, 9652, 267, 1522, 3247, 676, 2663, 547, 6338, 5128, 607, 646, 729, 606, 28048, 32529, 543, 6068, 5870, 1007, 1004, 780, 2026, 4166, 607, 8861, 2451, 267, 519, 2185, 16341, 10002, 17977, 741, 11435, 543, 12306, 883, 741, 10151, 705, 1712, 269, 2755, 23183, 543, 16092, 8268, 519, 10051, 543, 9709, 741, 6980, 585, 519, 1985, 1906, 2395, 267, 24955, 543, 5981, 3576, 7140, 1210, 519, 19880, 547, 23906, 1156, 909, 1310, 741, 1279, 3460, 269, 3807, 1287, 267, 972, 729, 513, 22545, 593, 519, 7450, 780, 2005, 729, 6004, 269, 9652, 267, 519, 7874, 7023, 267, 8066, 513, 1494, 1540, 2030, 538, 1010, 1688, 269, 1261, 5189, 5128, 543, 6045, 602, 646, 8057, 891, 2371, 538, 1010, 4677, 543, 17329, 547, 2671, 873, 609, 14538, 9363, 538, 8861, 781, 19887, 269, 1717, 267, 1354, 4896, 1223, 2161, 4376, 267, 6004, 269, 9652, 8068, 1945, 9642, 910, 972, 941, 2947, 10824, 9788, 856, 593, 519, 3349, 3079, 540, 2185, 780, 257, 3674, 972, 1776, 16823, 11836, 596, 8119, 646, 4280, 8049, 569, 269, 23183, 3533, 7691, 741, 12161, 543, 5433, 513, 5951, 540, 19849, 14536, 11547, 936, 1200, 269, 834, 17764, 1100, 267, 649, 1500, 513, 12161, 2437, 1352, 588, 2459, 1229, 269, 834, 2171, 1152, 1433, 539, 585, 2185, 1004, 3010, 16031, 269, 9652, 20493, 24963, 543, 6700, 602, 789, 1289, 8861, 547, 12172, 519, 3510, 269, 28214, 16944, 543, 14221, 267, 23183, 1572, 8861, 267, 945, 5612, 9619, 519, 3390, 269, 2701, 23294, 1242, 1527, 2224, 569, 585, 519, 23388, 543, 21407, 873, 602, 1352, 1131, 6439, 1518, 519, 3510, 16425, 269, 769, 519, 29291, 267, 1352, 16761, 602, 789, 13918, 519, 3063, 1268, 2394, 519, 2339, 729, 17251, 780, 9824, 10631, 14688, 267, 519, 2828, 8815, 267, 6616, 602, 789, 4769, 1405, 723, 1082, 824, 3681, 269, 18641, 267, 741, 6397, 16823, 5828, 856, 547, 581, 513, 16990, 1762, 4807, 3957, 24981, 267, 945, 5949, 547, 581, 9683, 519, 1482, 2749, 585, 960, 269, 6736, 519, 3355, 554, 545, 24189, 267, 3025, 7307, 547, 1118, 519, 1655, 540, 519, 3510, 543, 1256, 4646, 17052, 1282, 741, 2110, 3251, 780, 9961, 741, 7045, 267, 789, 4121, 3407, 4245, 827, 2792, 267, 19969, 267, 543, 13916, 269, 1358, 4362, 602, 3006, 267, 1919, 1810, 1405, 979, 2687, 547, 1544, 267, 855, 621, 781, 1898, 547, 3068, 2591, 2212, 6823, 543, 1265, 3435, 29050, 269, 1635, 8026, 6568, 543, 1620, 2509, 1866, 267, 789, 2813, 12300, 2833, 543, 22541, 741, 6125, 607, 2828, 269, 1656, 6038, 267, 789, 9863, 602, 3695, 1007, 4025, 3085, 1405, 2154, 20662, 880, 7836, 282, 3079, 267, 621, 3340, 1930, 8186, 543, 12271, 4712, 547, 9784, 8726, 2501, 741, 1259, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 29205, 596, 2303, 1022, 6578, 7888, 22098, 3681, 538, 519, 2749, 610, 4478, 2127, 888, 296, 798, 711, 723, 1569, 547, 1699, 14499, 543, 11891, 1239, 269, 2705, 267, 930, 6578, 7888, 22098, 3681, 602, 616, 4502, 10992, 856, 538, 1034, 4872, 543, 4478, 2127, 616, 1384, 272, 269, 3984, 1564, 281, 3984, 1564, 616, 513, 6578, 7888, 4781, 602, 2709, 3838, 18959, 527, 1559, 610, 4357, 11623, 693, 513, 2539, 1942, 982, 20730, 780, 273, 269, 2011, 16818, 321, 281, 2011, 16818, 321, 3091, 513, 2039, 540, 22098, 2010, 267, 1519, 4357, 11623, 267, 6306, 906, 267, 543, 3003, 5321, 267, 602, 1419, 2097, 693, 2539, 3928, 982, 20730, 780, 274, 269, 6578, 20730, 281, 1896, 20730, 2709, 2596, 29319, 693, 14949, 3928, 982, 1164, 15134, 20730, 780, 275, 269, 2138, 1564, 281, 2138, 1564, 1419, 2709, 14949, 3928, 585, 16074, 13978, 543, 616, 513, 2442, 4781, 585, 4155, 2468, 13827, 780, 276, 269, 22742, 281, 22742, 568, 606, 22237, 1259, 547, 3251, 538, 519, 4478, 2127, 543, 849, 3091, 513, 2189, 2951, 1995, 780, 921, 848, 4063, 602, 519, 1942, 540, 22098, 9775, 4470, 593, 519, 4005, 543, 4087, 269, 8754, 267, 621, 568, 2141, 5227, 10640, 25147, 3197, 609, 3982, 14789, 269, 634, 1650, 1058, 11200, 998, 741, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 267, 10771, 519, 2956, 540, 6568, 267, 7881, 267, 543, 1966, 9010, 563, 763, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 269, 0, 3848, 476, 272, 281, 4985, 547, 18248, 3101, 692, 5970, 596, 2479, 4941, 547, 2671, 707, 4555, 267, 8369, 267, 610, 2984, 609, 1866, 286, 4270, 267, 972, 781, 513, 1187, 543, 3860, 1259, 547, 798, 1175, 602, 910, 998, 5816, 3101, 256, 589, 5816, 267, 2110, 585, 834, 933, 24108, 2437, 568, 606, 2228, 4760, 610, 19701, 1141, 1004, 666, 2328, 827, 4376, 602, 4690, 873, 269, 3245, 2835, 543, 9413, 547, 12348, 543, 1699, 2621, 267, 21075, 3382, 513, 2647, 2039, 540, 3584, 269, 1656, 945, 6487, 267, 6148, 2576, 856, 972, 8843, 519, 1482, 6612, 607, 596, 2439, 3719, 1946, 1376, 513, 5816, 286, 1280, 26784, 267, 621, 2636, 596, 547, 2769, 3054, 543, 1921, 609, 824, 1004, 1472, 519, 1158, 269, 1411, 1522, 1256, 1451, 1007, 1919, 2059, 519, 1259, 256, 9578, 267, 4509, 513, 5816, 666, 948, 2087, 707, 1603, 1983, 543, 4001, 596, 875, 547, 10891, 707, 4555, 1732, 269, 5808, 9327, 1405, 1616, 602, 2496, 3086, 602, 649, 723, 533, 31985, 707, 7279, 1577, 721, 2263, 930, 4388, 593, 2870, 543, 5883, 513, 3811, 5816, 780, 4089, 476, 272, 281, 12020, 2659, 18248, 692, 6524, 11362, 883, 1603, 267, 1491, 930, 942, 547, 1544, 707, 5816, 269, 6056, 827, 1018, 3584, 1719, 596, 543, 1018, 596, 1616, 547, 1445, 593, 269, 4495, 596, 723, 4956, 593, 513, 6249, 267, 1711, 513, 2247, 14090, 547, 14650, 922, 1114, 2694, 269, 901, 1505, 2337, 2736, 1524, 1950, 1344, 883, 4130, 25098, 267, 1818, 621, 4443, 547, 7558, 780, 5331, 596, 2648, 11256, 543, 6999, 547, 1376, 513, 5986, 5816, 269, 3689, 267, 1747, 519, 2262, 834, 289, 1136, 257, 693, 519, 4099, 540, 707, 1957, 269, 8921, 267, 2721, 8371, 8204, 1585, 5705, 641, 923, 971, 607, 25394, 267, 12897, 267, 3694, 267, 3092, 269, 3973, 267, 1039, 3762, 4839, 4221, 1055, 1142, 1292, 7121, 5627, 1808, 10346, 267, 2553, 267, 543, 5820, 269, 1635, 3257, 713, 267, 596, 1631, 723, 513, 2312, 7291, 540, 707, 5816, 781, 2497, 780, 4089, 476, 273, 281, 11814, 532, 14313, 692, 30706, 1185, 513, 1390, 2856, 1402, 909, 1247, 17678, 707, 4522, 610, 2921, 513, 17643, 286, 5213, 1405, 1577, 1346, 13085, 8090, 17277, 2476, 256, 5901, 513, 21641, 13561, 610, 946, 4063, 23824, 8924, 593, 707, 6049, 547, 2594, 891, 7904, 7566, 4943, 725, 269, 3683, 942, 267, 596, 786, 18645, 3875, 4241, 3584, 7996, 547, 581, 3838, 609, 519, 1158, 780, 2690, 1383, 267, 952, 596, 10393, 1589, 540, 4946, 10217, 13365, 547, 707, 24113, 7423, 23739, 11600, 267, 795, 582, 621, 1524, 1354, 30534, 269, 13536, 267, 596, 666, 17145, 856, 713, 1523, 2417, 267, 7432, 621, 883, 513, 2407, 1922, 1194, 3022, 2022, 2347, 609, 1900, 8386, 9912, 5528, 543, 5023, 22476, 6337, 780, 4089, 476, 274, 281, 3117, 29548, 568, 6206, 692, 16240, 1152, 950, 6273, 949, 1267, 538, 22522, 20171, 3270, 267, 4929, 1761, 3988, 547, 6336, 1719, 269, 5502, 267, 2832, 585, 2834, 10311, 1107, 2899, 610, 7466, 513, 3018, 1568, 1134, 585, 1034, 14987, 269, 26787, 513, 8430, 849, 14884, 707, 5876, 4887, 267, 3850, 4195, 2093, 547, 2095, 24672, 780, 8855, 938, 536, 6033, 3659, 286, 1677, 2226, 11007, 267, 1352, 1223, 6430, 547, 15476, 1007, 9708, 1169, 10732, 12784, 269, 2701, 666, 1287, 5965, 1200, 1543, 6619, 540, 942, 267, 4180, 12905, 8313, 543, 2566, 6954, 32300, 780, 1103, 3932, 267, 5816, 3101, 3091, 11995, 7399, 585, 1582, 22325, 543, 4276, 269, 2060, 6297, 4058, 267, 6896, 1361, 566, 267, 543, 5812, 3977, 267, 4896, 666, 1711, 513, 3811, 543, 11791, 5816, 3101, 1995, 269, 8414, 1603, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 22897, 568, 4657, 1169, 1554, 543, 3568, 1044, 585, 1296, 267, 543, 519, 1259, 11570, 2170, 15217, 568, 4957, 552, 27238, 269, 26121, 513, 5816, 568, 2965, 513, 4540, 7678, 602, 949, 581, 27109, 26924, 269, 1403, 596, 1131, 899, 547, 1174, 811, 827, 621, 267, 1224, 811, 269, 1703, 616, 2965, 4179, 2517, 21504, 4732, 924, 329, 582, 2593, 22812, 3150, 1723, 1961, 344, 279, 11258, 585, 4358, 543, 3168, 1310, 513, 3811, 3896, 563, 25219, 559, 1125, 513, 2634, 4786, 269, 27336, 4474, 707, 5816, 538, 547, 513, 2247, 7302, 691, 267, 1210, 519, 2516, 267, 5816, 14006, 338, 267, 13319, 543, 1169, 835, 540, 707, 4747, 4025, 666, 581, 3833, 513, 5140, 1935, 547, 2754, 269, 898, 7472, 513, 4480, 547, 1294, 538, 799, 707, 3896, 568, 16283, 543, 1018, 596, 666, 798, 865, 621, 786, 581, 811, 3811, 563, 12648, 1022, 2093, 607, 596, 1332, 873, 585, 1603, 513, 5816, 269, 5269, 2386, 596, 3132, 513, 4087, 1141, 676, 789, 949, 581, 5116, 269, 21277, 1424, 1175, 950, 6766, 949, 581, 10002, 8793, 585, 707, 3896, 269, 10705, 267, 519, 1655, 2093, 666, 2408, 950, 596, 2811, 10010, 547, 5816, 3135, 269, 1924, 2285, 873, 513, 4087, 547, 2333, 543, 19806, 558, 563, 6944, 1503, 519, 4222, 540, 11110, 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, 476, 273, 269, 272, 1306, 5145, 1782, 543, 1325, 793, 532, 547, 513, 5590, 540, 13129, 2637, 2345, 454, 32458, 7042, 2162, 4985, 692, 8702, 547, 938, 1101, 1016, 15492, 538, 3848, 476, 273, 540, 2608, 21809, 6750, 2637, 15299, 585, 4643, 8767, 2657, 29688, 1284, 2253, 676, 3695, 835, 540, 519, 4909, 4247, 538, 22308, 1239, 2079, 281, 7011, 1782, 543, 26936, 15971, 14509, 547, 513, 1305, 540, 4704, 25450, 269, 901, 1184, 6087, 721, 547, 2697, 4719, 7648, 1063, 2043, 610, 5095, 267, 799, 666, 948, 721, 1174, 875, 891, 3604, 3565, 547, 1585, 4307, 8040, 267, 3676, 267, 543, 2825, 14624, 269, 634, 2409, 649, 1865, 1934, 849, 4019, 547, 1875, 25993, 7103, 267, 1519, 7286, 1272, 267, 2371, 267, 543, 14471, 267, 3850, 721, 547, 1353, 741, 4720, 267, 4763, 267, 543, 1909, 538, 4509, 2635, 8134, 780, 1103, 713, 3296, 267, 649, 5490, 883, 1312, 3140, 543, 4207, 2553, 1031, 538, 7011, 1782, 543, 26936, 22308, 9696, 269, 3776, 3804, 568, 711, 1152, 547, 1683, 606, 29882, 2689, 855, 849, 547, 8141, 7279, 827, 519, 4241, 2984, 3297, 1142, 27696, 14634, 269, 1635, 1620, 519, 9342, 543, 7687, 540, 1114, 6620, 267, 12985, 2645, 267, 543, 8097, 6272, 267, 649, 16491, 6000, 547, 1118, 5483, 3664, 950, 5466, 1950, 2055, 1644, 547, 19236, 1072, 780, 2162, 589, 16684, 3778, 540, 25627, 13909, 543, 1325, 9892, 692, 306, 3225, 775, 10198, 814, 922, 5072, 538, 5929, 5569, 12805, 2042, 6594, 676, 2780, 3744, 2094, 519, 2038, 2395, 540, 7384, 630, 29727, 559, 1299, 1530, 604, 10327, 267, 476, 3192, 278, 282, 9487, 330, 517, 523, 267, 476, 2735, 276, 1040, 1452, 13654, 1568, 9788, 519, 24536, 585, 2413, 5311, 12972, 6620, 971, 607, 10261, 548, 2006, 8862, 12584, 577, 630, 23921, 548, 2006, 1299, 654, 12584, 577, 267, 476, 3192 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 609, 5399, 12240, 547, 2081, 649, 666, 811, 7184, 12840, 609, 12200, 543, 4217, 1053, 538, 3059, 3785, 540, 782, 5686, 563, 763, 2160, 540, 14216, 2421, 3095, 593, 713, 13472, 568, 547, 513, 2110, 596, 32353, 3381, 676, 519, 2140, 267, 1946, 3059, 7924, 6927, 269, 594, 1589, 789, 798, 513, 1434, 2816, 15700, 593, 1883, 2798, 513, 1906, 540, 799, 594, 15504, 856, 1934, 563, 26139, 267, 607, 609, 3059, 7924, 267, 1082, 8847, 2291, 593, 3059, 21711, 269, 1280, 8885, 538, 8159, 519, 3017, 1063, 3059, 7924, 543, 21711, 621, 2337, 547, 1589, 827, 1565, 513, 1893, 269, 1411, 666, 917, 519, 6863, 543, 1256, 875, 547, 5265, 31669, 13450, 267, 3092, 269, 1717, 267, 513, 1268, 31402, 538, 513, 1893, 3217, 1018, 789, 4076, 4121, 513, 1906, 3268, 2417, 267, 789, 917, 950, 543, 1141, 543, 875, 547, 946, 602, 1893, 267, 543, 666, 5714, 569, 3442, 519, 1655, 1913, 585, 1022, 3510, 563, 19445, 18623, 1222, 568, 7396, 676, 808, 3041, 290, 607, 835, 540, 519, 476, 278, 2609, 540, 3059, 7924, 269, 23105, 28671, 281, 12160, 622, 538, 6932, 4081, 267, 3318, 543, 1382, 2853, 602, 4096, 593, 3059, 1949, 269, 634, 631, 749, 517, 7690, 3095, 593, 713, 13472, 3217, 596, 547, 930, 5863, 960, 1373, 2944, 1498, 1585, 9886, 14102, 3292, 269, 3509, 540, 721, 723, 2382, 6627, 1065, 21627, 1559, 1631, 16041, 609, 3407, 3059, 14172, 267, 538, 1840, 547, 2027, 10070, 269, 1215, 1522, 649, 15407, 1018, 568, 2139, 547, 721, 547, 1039, 3606, 1871, 543, 1007, 1702, 585, 938, 1053, 543, 2146, 269, 594, 1265, 3168, 693, 3785, 899, 1346, 14102, 998, 519, 631, 749, 517, 7690, 11121, 543, 993, 2141, 3206, 827, 2081, 649, 666, 581, 3238, 609, 1543, 547, 1711, 3606, 1871, 269, 898, 949, 711, 581, 607, 14969, 607, 1018, 666, 581, 2944, 609, 5215, 540, 9886, 9489, 855, 594, 1589, 998, 12352, 267, 543, 930, 540, 519, 12863, 2645, 1373, 2919, 267, 649, 949, 782, 2253, 547, 811, 4628, 8415, 938, 1543, 563, 19445, 774, 648, 879, 568, 513, 5698, 1851, 519, 3557, 2160, 540, 1715, 3840, 693, 2637, 3150, 334, 267, 519, 774, 648, 879, 5980, 267, 543, 519, 9546, 6577, 28418, 5741, 269, 589, 3099, 540, 5867, 585, 1514, 2542, 723, 16204, 2426, 909, 538, 2487, 1296, 269, 4841, 538, 519, 1576, 9085, 543, 16520, 5530, 538, 519, 7913, 6520, 693, 519, 3557, 2160, 540, 1715, 3840, 693, 2637, 3150, 334, 723, 8329, 547, 519, 17683, 540, 519, 5714, 1257, 9546, 6577, 269, 3776, 4130, 5238, 1810, 1406, 2141, 723, 1185, 519, 2930, 5759, 2877, 585, 3785, 971, 607, 713, 855, 519, 2029, 568, 3478, 12863, 543, 4443, 547, 946, 856, 540, 519, 4216, 2645, 616, 7444, 1373, 2919, 543, 1419, 1500, 11884, 2139, 563, 19445, 9163, 607, 19396, 543, 14740, 5004, 17402, 896, 519, 808, 3041, 290, 476, 278, 2609, 540, 3059, 7924, 1547, 6884, 5219, 547, 607, 938, 3059, 11640, 267, 3059, 9163, 267, 3059, 29066, 267, 543, 2228, 8088, 725, 267, 616, 4742, 606, 5051, 1271, 1888, 538, 298, 268, 1321, 543, 2523, 2362, 2069, 563, 763, 10839, 538, 713, 13472, 568, 513, 2101, 1445, 540, 519, 1576, 594, 4001, 593, 3384, 938, 2228, 9163, 267, 799, 594, 3580, 581, 6158, 827, 14182, 6640, 865, 4465, 1406, 979, 883, 1390, 1469, 1934, 4849, 547, 2161, 267, 713, 568, 606, 1271, 3693, 540, 3059, 7924, 585, 938, 1053, 2221, 269, 4197, 602, 789, 786, 581, 979, 690, 1194, 543, 602, 1018, 2982, 909, 538, 519, 3406, 2164, 267, 1454, 689, 741, 2534, 593, 1514, 2923, 4609, 267, 568, 9691, 1271, 547, 1082, 2104, 11678, 269, 5617, 10079, 803, 267, 789, 991, 2484, 811, 948, 538, 713, 1858, 982, 594, 16545, 950, 594, 1101, 3459, 3450, 713, 1576, 538, 476, 1001, 273, 269, 3502, 1152, 602, 267, 538, 1250, 1995, 267, 789, 616, 1360, 3507, 894, 540, 1022, 948, 649, 2709, 563, 5804, 9012, 7924, 267, 9442, 543, 5698, 267, 4804, 1983, 543, 23559, 7924, 267, 1082, 540, 519, 476, 278, 808, 3041, 290, 3059, 2148, 9313, 616, 1271, 585, 1053, 543, 5234, 547, 4628, 851, 820, 540, 938, 476, 2641, 560, 2540, 29355, 2528, 269, 5680, 476, 273, 269, 271, 729, 513, 8360, 2442, 1242, 538, 3735, 476, 1220, 275, 693, 606, 744, 685, 3725, 11035, 10554, 269, 2334, 779, 950, 1082, 540, 721, 3459, 4730, 609, 530, 1731, 529, 267, 1514, 1433, 5658, 532, 267, 543, 21075, 269, 769, 519, 2038, 2395, 1082, 2219, 5680, 476, 273, 269, 271, 729, 513, 535, 611, 267, 1631, 621, 779, 519, 5769, 563, 763, 3310, 540, 29355, 2528, 593, 2069, 1107, 8361, 23514, 9469, 814, 1044, 6340, 267, 15388, 543, 1603, 827, 29355, 2528, 585, 1082, 1296, 543, 568, 513, 15197, 6205, 593, 713, 1888, 269, 4197, 602, 938, 29355, 2528, 814, 4957, 875, 649, 960, 267, 1404, 267, 543, 1451, 568, 2565, 594, 19616, 547, 1620, 1946, 2324, 4724, 3059, 21711, 568, 1271, 563, 5472, 540, 721, 666, 1831, 7722, 538, 4730, 513, 3014, 593, 938, 16389, 610, 538, 8384, 519, 21777, 3381, 1509, 324, 593, 596, 32353, 855, 1018, 827, 538, 519, 4928, 286, 3371, 779, 606, 1383, 540, 1053, 1373, 4628, 7722, 543, 27153, 538, 1565, 269, 594, 2648, 602, 621, 20502, 513, 3638, 26399, 540, 519, 2168, 543, 519, 3059, 269, 594, 1336, 713, 1788, 1360, 31369, 563, 1607, 1576, 568, 585, 2069, 32407, 538, 519, 10566, 6573, 476, 28307, 23675, 538, 4065, 1576, 6026, 693, 519, 2160, 540, 3204, 2088, 267, 621, 779, 1869, 1373, 6026, 543, 513, 24440, 3406, 540, 10566, 6573, 476, 28307, 786, 3142, 909, 1082, 1806, 540, 2875, 779, 960, 269, 589, 1390, 1383, 540, 3860, 960, 602, 26564, 1134, 1010, 1576, 1565, 563, 29753, 3059, 1983, 585, 2834, 11570, 267, 3314, 267, 594, 6557, 711, 513, 751, 2151, 269, 23875, 1932, 10427, 267, 855, 594, 723, 7899, 540, 1187, 267, 543, 519, 1565, 1175, 4523, 563, 6826, 523, 4730, 543, 19234, 609, 1585, 21284, 4641, 630, 2752, 264, 5867, 585, 1896, 1296, 269, 901, 568, 1869, 606, 9687, 2029, 538, 799, 519, 1034, 3811, 30582, 2408, 547, 581, 676, 3549, 602, 666, 6488, 547, 1902, 538, 519, 1382, 543, 1646, 540, 3860, 2833, 269, 594, 4076, 711, 2938, 513, 1164, 1377, 540, 8121, 30582, 2943, 538, 2069, 269, 744, 1529, 639, 681, 3424, 543, 824, 5691, 4641, 270, 13774, 7757, 4641, 7835, 949, 4166, 1689, 713, 269, 645, 18847, 1318, 3239, 568, 835, 594, 3576, 1247, 4730, 609, 606, 21284, 4641, 1433, 538, 519, 5399, 5604, 269, 634, 1820, 1433, 568, 11331, 968, 763, 9735, 10760, 1433, 540, 6004, 269, 24261, 10815, 3467, 1848, 594, 6557, 2111, 547, 946, 1250, 5985, 3926, 547, 1491, 24261, 1055, 519, 3817, 540, 519, 1433, 543, 8038, 609, 1864, 998, 519, 5604, 1318, 998, 1250, 960, 13231, 344, 1053, 6659, 7916, 269, 4279, 1187, 454, 4467, 14293, 3549, 666, 6488, 547, 798, 5863, 1919, 609, 21284, 4641, 630, 2752, 264, 2029, 269, 594, 4076, 2943, 547, 1294, 519, 1482, 2298, 8121, 3812, 676, 2043, 610, 4081, 5238, 269, 769, 519, 2592, 1657, 594, 6557, 1210, 519, 12794, 10402, 5937, 1794, 338, 19270, 15300, 7033, 518, 813, 593, 519, 19984, 540, 519, 4672, 29931, 600, 11149, 547, 4159, 30413, 1235, 4730, 513, 13447, 334, 1247, 1250, 4672, 29931, 600, 3587, 968, 27393, 569, 10917, 1229, 892, 543, 4712, 547, 3548, 630, 15290, 519, 13447, 334, 568, 936, 1040, 7581, 591, 543, 3860, 6725, 563, 5575, 267, 594, 3580, 1533, 909, 4395, 602, 594, 6557, 513, 10178, 540, 1000, 7867, 630, 2288, 1296, 3516, 594, 5206, 513, 5816, 2022, 678, 656, 827, 875, 621, 8604, 519, 1034, 28457, 748, 27640, 1170, 2065, 3060, 594, 1185, 2479, 2097, 2066, 1070, 594, 4076, 4121, 513, 16854, 2179, 689, 519, 4687, 593, 519, 3760, 936, 519, 1296, 630, 527, 568, 1250, 1297, 835, 3318, 1646, 3060, 1040, 594, 8910, 899, 547, 4497, 609, 1866, 972, 811, 982, 594, 798, 543, 594, 6557, 2324, 593, 602, 630, 320, 942, 2359, 3390, 1040, 11086, 1498, 267, 972, 568, 1390, 3059, 7924, 1761, 609, 713, 1907, 269, 901, 568, 513, 1187, 2680, 267, 543, 594, 1589, 513, 1390, 1259, 585, 27503, 5830, 547, 2119, 547, 10544, 606, 5304, 2507, 11004, 616, 865, 1082, 7399, 1934, 269, 5240, 2022, 281, 3245, 2904, 476, 1556, 268, 1428, 267, 519, 5948, 540, 1977, 23255, 543, 31919, 15932, 5600, 786, 2319, 909, 1586, 547, 1459, 519, 3791, 2872, 17253, 1948, 23562, 7867, 293, 2109, 16635, 269, 1284, 786, 16436, 4589, 689, 2066, 519, 2872, 547, 1711, 3312, 5708, 267, 1210, 519, 12108, 3760, 269, 19536, 10876, 666, 849, 10505, 741, 1378, 2093, 2899, 1586, 585, 519, 4960, 547, 581, 12286, 538, 519, 2278, 13686, 269, 1306, 538, 3105, 1296, 267, 4896, 693, 20471, 666, 7914, 538, 543, 6443, 519, 1187, 676, 10213, 2984, 593, 12108, 1210, 519, 1948, 23562, 7867, 293, 2109, 814, 6255, 698, 563, 296, 2813, 513, 3391, 267, 5532, 593, 519, 5399, 3896, 267, 585, 1346, 538, 519, 717, 293, 308, 2146, 267, 945, 616, 5461, 538, 1210, 1000, 7867, 585, 3450, 543, 1565, 1310, 8391, 1082, 28780, 689, 12200, 827, 1000, 7867, 269, 12861, 10274, 547, 2232, 3584, 1271, 547, 3059, 7924, 568, 835, 1259, 7172, 12579, 543, 824, 7855, 666, 4217, 938, 2950, 538, 4742, 811, 25274, 31402, 269, 634, 3391, 568, 3015, 547, 4896, 689, 938, 5399, 1576, 10274, 2059, 609, 824, 5363, 3765, 3250, 10389, 10274, 689, 713, 3095, 281, 5291, 2517, 4178, 269, 613, 5282, 325, 2135, 12975, 270, 4752, 1182, 8276, 6324, 1442, 14727, 6847, 10817, 1938, 27651, 11258, 258, 332, 4593, 454, 10144, 616, 4687, 10876, 2228, 269, 1284, 666, 7485, 1927, 519, 1655, 1543, 547, 1711, 2200, 689, 799, 1866, 666, 4324, 563, 4517, 594, 666, 1406, 4734, 856, 16353, 910, 16353, 7924, 8813, 896, 519, 23559, 7924, 630, 4467, 7065, 1890, 281, 1520, 9953, 267, 3082, 267, 543, 946, 3059, 3457, 267, 3156, 267, 543, 2533, 264, 3693, 540, 519, 808, 3041, 290, 2203, 910, 12829, 10746, 543, 7484, 31817, 267, 1079, 540, 1250, 5172, 1919, 2507, 663, 1631, 1577, 779, 1413, 693, 513, 1906, 28135, 593, 1946, 5985, 6927, 563, 268, 7324, 3926, 5411, 267, 538, 11665, 946, 568, 476, 10619, 260, 24195, 476, 5780, 260, 16389, 476, 7830, 260, 14342, 2443, 4488, 2752, 2875, 1353, 267, 476, 1001, 275, 454, 299, 2320, 12579, 2523, 991, 547, 581, 3238, 609, 4543, 1053, 609, 5985, 543, 824, 7924, 2115, 563, 12606, 532, 552, 268, 9248, 593, 5985, 3457, 3340, 946, 540, 519, 4544, 13933, 813, 267, 799, 1568, 593, 1022, 5985, 3760, 269, 3509, 1053, 991, 948, 609, 713, 1184, 269, 634, 1034, 30414, 851, 602, 649, 2731, 666, 711, 798, 4376, 827, 267, 2436, 23842, 5196, 5985, 610, 24195, 267, 1142, 540, 938, 21527, 2154, 1863, 6589, 547, 581, 2813, 1354, 2835, 666, 581, 22434, 269, 1703, 616, 2591, 543, 5383, 547, 1818, 552, 268, 9248, 2139, 547, 938, 1053, 543, 649, 798, 938, 1655, 547, 4217, 609, 519, 1184, 269, 2311, 1250, 9872, 12200, 723, 849, 13175, 26471, 5399, 552, 268, 9248, 607, 1257, 538, 930, 5049, 267, 7551, 9494, 1053, 519, 1942, 540, 11449, 563, 16352, 1804, 2338, 540, 5985, 3457, 593, 938, 3786, 4926, 5555, 814, 606, 1198, 593, 1082, 3344, 540, 938, 960, 563, 1432, 666, 581, 2944, 13464, 2647, 286, 2311, 717, 293, 308, 267, 538, 3210, 547, 519, 21222, 517, 7797, 10530, 593, 13472, 1948, 274, 267, 649, 786, 2253, 609, 513, 12200, 11036, 4330, 2417, 593, 519, 1985, 13472, 563, 288, 1614, 1032, 9886, 14102, 11036, 269, 15815, 582, 1982, 5956, 4864, 476, 1001, 276, 563, 296, 5781, 2196, 2066, 1004, 538, 2362, 1196, 945, 616, 14221, 827, 2029, 269, 7201, 6588, 1091, 267, 1178, 1091, 267, 12200, 543, 5234, 6560, 609, 713, 269, 21298, 18238, 853, 565, 2401, 5206, 713, 2022, 585, 3330, 2362, 1196, 268, 898, 779, 513, 2110, 26656, 1224, 855, 519, 4250, 594, 1616, 547, 1445, 593, 1934, 568, 2601, 1297, 1614, 267, 21824, 540, 32185, 267, 799, 594, 4076, 20926, 593, 519, 1985, 13472, 563, 763, 1739, 13472, 568, 938, 3803, 543, 594, 8910, 899, 547, 1439, 609, 513, 3381, 602, 594, 4585, 1419, 269, 898, 2306, 803, 12837, 1169, 942, 543, 594, 3494, 519, 5048, 568, 4143, 563, 10817, 4575, 22996, 19331, 731, 7913, 12071, 1890, 454, 21659, 514, 12891, 5112 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]