Datasets:
JingzeShi
/
decay_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
[ 476, 23460, 2275, 338, 321, 1109, 4343, 276, 277, 476, 23460, 1673, 604, 1109, 4375, 272, 272, 476, 23460, 10595, 1109, 4375, 272, 274, 476, 23460, 2987, 1109, 4375, 272, 276, 476, 23460, 268, 1087, 1109, 4375, 273, 276, 476, 23460, 1790, 1087, 1109, 4375, 273, 278, 476, 23460, 5991, 592, 1109, 275, 2918, 277, 476, 23460, 268, 604, 1109, 29900, 271, 476, 23460, 1790, 342, 1109, 26493, 274, 476, 23460, 1606, 333, 1109, 3393, 275, 271, 476, 23460, 17376, 1109, 3393, 275, 273, 476, 23460, 2389, 335, 1109, 3393, 275, 275, 476, 23460, 19945, 1109, 3393, 275, 277, 476, 23460, 10595, 328, 1109, 4366, 272, 275, 476, 23460, 25829, 684, 1109, 4366, 280, 277, 476, 23460, 1532, 337, 1109, 27843, 274, 476, 23460, 19945, 629, 1109, 27944, 276, 476, 23460, 2173, 696, 1109, 24423, 274, 476, 23460, 2389, 337, 1109, 276, 1691, 280, 476, 23460, 268, 573, 1109, 276, 6246, 278, 476, 23460, 268, 788, 7758, 1109, 276, 4510, 273, 476, 23460, 1790, 334, 1109, 276, 3393, 272, 476, 23460, 27940, 1109, 276, 3393, 273, 476, 23460, 1922, 337, 1109, 276, 5392, 272, 476, 23460, 32734, 1109, 276, 5392, 274, 476, 23460, 14870, 335, 1109, 4649, 274, 279, 476, 23460, 3146, 331, 1109, 4649, 274, 280, 476, 23460, 2275, 333, 341, 1109, 4649, 275, 271, 476, 23460, 18396, 1109, 4649, 275, 272, 476, 23460, 1673, 332, 1109, 4649, 275, 273, 476, 23460, 8573, 333, 1109, 4649, 275, 274, 476, 23460, 9113, 1109, 4649, 275, 275, 476, 23460, 268, 9874, 1109, 4649, 275, 276, 476, 23460, 1790, 1042, 1109, 277, 1321, 277, 476, 23460, 268, 867, 1109, 277, 1704, 273, 476, 23460, 6823, 1109, 277, 1704, 274, 476, 23460, 29438, 1109, 277, 1704, 275, 476, 23460, 1606, 1075, 1109, 277, 1704, 276, 476, 23460, 268, 23273, 1109, 277, 3066, 274, 476, 23460, 1922, 684, 1109, 277, 3451, 277, 476, 23460, 1922, 333, 1109, 277, 3451, 278, 476, 23460, 1922, 1109, 277, 3451, 279, 476, 23460, 1922, 272, 1109, 277, 3451, 280, 476, 23460, 1922, 334, 1109, 277, 4097, 271, 476, 23460, 1922, 272, 334, 1109, 277, 4097, 272, 476, 23460, 1922, 341, 1109, 277, 4097, 273, 476, 23460, 268, 686, 7974, 1109, 3583, 280, 279, 476, 23460, 268, 990, 1109, 278, 1691, 274, 476, 23460, 19945, 4599, 1109, 278, 1691, 275, 476, 23460, 2173, 17763, 1109, 278, 1691, 276, 476, 23460, 268, 558, 1109, 4037, 277, 277, 476, 23460, 268, 273, 526, 1109, 278, 6858, 277, 476, 23460, 2914, 13440, 338, 1109, 8064, 274, 275, 476, 23460, 3146, 14369, 1109, 278, 4200, 276, 476, 23460, 268, 6113, 326, 1109, 3199, 274, 274, 476, 23460, 268, 518, 1109, 279, 2767, 277, 476, 23460, 10276, 1109, 279, 5392, 278, 476, 23460, 26730, 1109, 279, 5392, 279, 476, 23460, 1606, 3256, 1109, 279, 5392, 280, 476, 23460, 1790, 333, 325, 1109, 11793, 5780, 476, 23460, 2173, 333, 325, 1109, 11793, 6858, 476, 23460, 14870, 337, 1109, 11793, 6924, 476, 23460, 2000, 339, 343, 337, 1109, 11793, 7597, 476, 23460, 6122, 1109, 11793, 3583, 476, 23460, 28175, 1109, 10482, 8618, 476, 23460, 268, 10864, 1109, 10482, 7830, 476, 23460, 1673, 643, 1109, 12208, 9262, 476, 23460, 5991, 333, 1109, 14138, 2918, 476, 23460, 268, 273, 1109, 14138, 6434, 476, 23460, 268, 274, 1109, 14138, 8660, 476, 23460, 268, 275, 1109, 14138, 3445, 476, 23460, 268, 276, 1109, 14138, 11011, 476, 23460, 268, 277, 1109, 14138, 10844, 476, 23460, 268, 278, 1109, 14138, 11152, 476, 23460, 5991, 271, 1109, 14093, 10436, 476, 23460, 22271, 1109, 15686, 3583, 476, 23460, 268, 15120, 1109, 14338, 3953, 476, 23460, 5498, 336, 1109, 15836, 4792, 476, 23460, 7721, 335, 1109, 16328, 2918, 901, 11532, 568, 26518, 676, 281, 476, 1109, 8421, 273, 12657, 332, 273, 476, 1109, 14838, 4029, 476, 1109, 8421, 273, 889, 476, 1109, 14838, 3451, 454, 14645, 2474, 281, 5398, 6389, 654, 274, 290, 4570, 1807, 0, 1012, 14506, 281, 5494, 6847, 543, 7726, 532, 8298, 338, 282, 855, 711, 585, 2679, 910, 8791, 476, 272, 281, 5590, 519, 8609, 692, 763, 23698, 851, 827, 713, 2534, 585, 1034, 540, 1250, 1053, 568, 23115, 856, 875, 547, 1294, 782, 519, 2798, 269, 1109, 3509, 1175, 2119, 513, 2186, 540, 7058, 543, 2638, 267, 9750, 519, 1535, 14289, 676, 4351, 5666, 538, 606, 3801, 547, 7854, 782, 4557, 2838, 9981, 269, 1109, 2290, 2875, 1031, 606, 1935, 602, 729, 10578, 543, 4951, 1434, 1620, 540, 1312, 1010, 24275, 9498, 543, 519, 1599, 269, 1109, 1879, 646, 6045, 1018, 646, 2944, 547, 2898, 519, 1362, 646, 1767, 646, 3459, 609, 519, 3044, 476, 1015, 343, 1015, 6885, 855, 607, 4166, 607, 646, 1178, 335, 1117, 519, 1599, 646, 6743, 693, 519, 3349, 540, 1535, 543, 586, 2418, 269, 1109, 1879, 646, 7691, 602, 519, 1101, 1448, 609, 606, 2318, 8870, 1871, 585, 586, 729, 630, 1015, 267, 272, 264, 646, 1767, 646, 3533, 13761, 519, 586, 1871, 693, 1535, 815, 476, 736, 269, 1109, 2334, 2366, 1864, 547, 2638, 519, 1871, 693, 1535, 815, 476, 1911, 267, 799, 5795, 1864, 1018, 646, 729, 3168, 585, 267, 606, 8870, 630, 1911, 267, 273, 1040, 1109, 6271, 2875, 29169, 547, 2307, 1946, 646, 29860, 689, 476, 736, 547, 476, 1911, 543, 646, 1767, 519, 1871, 693, 476, 736, 729, 1869, 1259, 1932, 1507, 267, 865, 646, 2219, 827, 875, 20743, 543, 23055, 616, 538, 951, 525, 543, 602, 621, 1522, 581, 2469, 909, 676, 476, 1015, 338, 269, 1109, 1261, 4682, 593, 547, 2491, 602, 646, 13761, 519, 1871, 585, 1535, 284, 1911, 271, 547, 1294, 952, 621, 729, 476, 274, 267, 799, 9672, 1010, 2856, 602, 519, 1101, 4557, 2318, 8870, 2418, 585, 535, 3287, 264, 941, 2469, 547, 581, 476, 272, 267, 273, 267, 274, 1862, 280, 543, 519, 7222, 535, 3287, 264, 2418, 1131, 581, 476, 1015, 267, 476, 1911, 267, 476, 1911, 271, 24222, 1911, 271, 267, 1822, 267, 1822, 269, 1109, 3571, 7778, 729, 865, 2312, 543, 2500, 538, 7713, 875, 17969, 916, 960, 602, 594, 4769, 1405, 991, 547, 1039, 610, 12575, 621, 693, 782, 780, 1326, 1154, 24275, 9486, 1318, 454, 11577, 6847, 543, 7726, 532, 281, 3478, 24275, 9486, 1318, 692, 258, 8298, 338, 282, 855, 711, 585, 2679, 692, 16215, 476, 279, 281, 3955, 31147, 12793, 454, 8893, 476, 1556, 540, 476, 866, 692, 1012, 8262, 22830, 281, 1924, 596, 1589, 596, 917, 1018, 513, 2845, 568, 543, 875, 621, 1568, 286, 6258, 519, 11580, 540, 17969, 916, 538, 713, 3992, 780, 19530, 7689, 454, 18184, 1841, 912, 20428, 4433, 2187, 13043, 267, 15821, 1599, 267, 10789, 267, 9577, 15051, 543, 769, 951, 525, 267, 10789, 4083, 267, 4487, 4116, 1788, 267, 476, 1556, 628, 6103, 454, 4649, 3764, 692, 2162, 8585, 4471, 681, 2086, 344, 692, 7462, 5381, 16497, 692, 30607, 8641, 532, 1299, 21290, 609, 5890, 7859, 454, 31580, 4083, 9732, 5890, 7859, 1299, 8298, 15162, 916, 454, 19136, 22830, 281, 1215, 1164, 786, 519, 14912, 25483, 543, 786, 621, 2479, 3247, 286, 1323, 12825, 2203, 24259, 1769, 593, 519, 2243, 2336, 293, 2948, 2572, 263, 274, 994, 4910, 1545, 263, 2420, 994, 293, 677, 19811, 267, 2910, 454, 5319, 1444, 281, 4427, 18076, 692, 30607, 15571, 5562, 5463, 599, 543, 17437, 17904, 454, 1321, 628, 6103, 4569, 9732, 5890, 11228, 543, 8298, 15162, 6193, 12793, 454, 19136, 22830, 281, 1215, 1279, 621, 786, 1491, 585, 14599, 3653, 547, 3914, 513, 2922, 1377, 888, 293, 2948, 2572, 263, 1556, 994, 4910, 1545, 263, 866, 994, 307, 5797, 267, 24696, 454, 5319, 1444, 281, 4427, 18076, 692, 30607, 24951, 26162, 540, 12618, 454, 31580, 594, 9732, 12793, 454, 19136, 22830, 281, 6904, 2754, 786, 1118, 811, 7443, 286, 4841, 5635, 543, 4334, 513, 5276, 2208, 2203, 543, 606, 12825, 2208, 2203, 269, 1358, 960, 609, 513, 3099, 540, 11269, 547, 3313, 950, 519, 1079, 3549, 786, 723, 519, 1482, 2179, 540, 2724, 563, 293, 2948, 2572, 263, 271, 994, 4910, 1545, 263, 1428, 994, 289, 10667, 267, 10790, 454, 5319, 1444, 281, 12124, 0, 258, 634, 4756, 1535, 3947, 519, 1297, 540, 22717, 8028, 10933, 18294, 934, 745, 525, 538, 13287, 540, 519, 3501, 1286, 269, 634, 4756, 586, 3947, 519, 7443, 540, 8028, 10933, 952, 789, 934, 4902, 1535, 22717, 18502, 264, 952, 586, 568, 513, 5276, 1599, 267, 1265, 519, 3830, 585, 586, 269, 12315, 519, 7508, 2418, 540, 519, 3349, 269, 1548, 568, 519, 9386, 540, 586, 2016, 519, 4559, 543, 4612, 519, 2495, 540, 519, 9386, 269, 6480, 1493, 586, 630, 1015, 264, 1210, 519, 2203, 12500, 264, 952, 586, 568, 606, 12825, 1599, 267, 1265, 519, 3830, 585, 586, 1547, 12315, 519, 7508, 2418, 540, 519, 3349, 269, 18040, 520, 568, 519, 2208, 2557, 286, 6480, 1493, 586, 263, 1015, 264, 1210, 513, 5276, 2203, 6745, 762, 568, 630, 272, 267, 280, 264, 630, 273, 267, 273, 269, 276, 264, 630, 274, 267, 24047, 630, 275, 267, 24047, 630, 276, 267, 24047, 630, 277, 267, 286, 2020, 15612, 639, 281, 7216, 3690, 25728, 550, 1023, 454, 279, 628, 9990, 454, 25835, 281, 7818, 12553, 6872, 275, 14028, 271, 454, 12041, 281, 22832, 26791, 454, 21812, 281, 22832, 26791, 454, 6637, 272, 281, 12793, 1656, 17738, 454, 4089, 281, 3848, 5999, 454, 19370, 476, 272, 305, 6717, 281, 630, 320, 264, 1548, 568, 513, 1599, 286, 1548, 616, 922, 6389, 543, 2039, 286, 630, 321, 264, 1548, 568, 519, 3113, 540, 513, 1599, 286, 630, 322, 264, 1215, 2483, 9223, 692, 763, 4756, 1535, 3947, 519, 1297, 540, 22717, 8028, 10933, 18294, 934, 745, 525, 538, 13287, 540, 519, 3501, 1286, 269, 634, 4756, 586, 3947, 519, 7443, 540, 8028, 10933, 952, 789, 934, 4902, 1535, 22717, 563, 320, 264, 952, 586, 568, 513, 5276, 1599, 267, 1265, 519, 3830, 585, 586, 269, 12315, 519, 7508, 2418, 540, 519, 3349, 269, 1548, 568, 519, 9386, 540, 586, 2016, 519, 4559, 543, 4612, 519, 2495, 540, 519, 9386, 269, 6480, 1493, 586, 630, 1015, 264, 1210, 519, 2203, 563, 321, 264, 952, 586, 568, 606, 12825, 1599, 267, 1265, 519, 3830, 585, 586, 1547, 12315, 519, 7508, 2418, 540, 519, 3349, 269, 18040, 520, 568, 519, 2208, 2557, 286, 6480, 1493, 586, 263, 1015, 264, 1210, 513, 5276, 2203, 780, 14456, 568, 630, 272, 267, 280, 264, 630, 273, 267, 273, 269, 276, 264, 630, 274, 267, 24047, 630, 275, 267, 24047, 630, 276, 267, 24047, 630, 277, 267, 286, 2020, 2750, 13630, 8827, 692, 307, 16781, 532, 1631, 692, 1607, 568, 513, 2442, 3070, 2439, 3721, 676, 1900, 692, 306, 9407, 538, 476, 278, 3268, 609, 476, 278, 2592, 692, 15447, 1578, 4425, 8803, 454, 27775, 2105, 9499, 585, 596, 454, 15612, 639, 281, 7216, 3690, 25728, 550, 1023, 454, 15612, 639, 454, 25835, 912, 7818, 12553, 6872, 275, 14028, 271, 454, 12041, 912, 22832, 26791, 454, 21812, 912, 290, 1263, 720, 4804, 454, 24171, 262, 20145, 630, 1691, 628, 9990, 994, 15612, 639, 454, 25835, 912, 7818, 25320, 4510, 274, 279, 7176, 277, 454, 12041, 912, 13825, 601, 681, 269, 670, 817, 267, 18332, 661, 269, 1261, 559, 267, 24381, 823, 667, 269, 1284, 597, 454, 21812, 912, 14154, 12678, 2177, 454, 15612, 639, 281, 7216, 3690, 25728, 550, 1023, 630, 274, 6113, 9990, 994, 15612, 639, 454, 25835, 912, 7818, 25320, 5325, 277, 3607, 275, 275, 454, 12041, 912, 19365, 700, 269, 23394, 7714, 267, 700, 1803, 3213, 577, 3757, 267, 24527, 717, 4068, 1777, 267, 18238, 5576, 592, 345, 454, 21812, 912, 14154, 12678, 2177, 454, 15612, 639, 281, 7216, 3690, 25728, 550, 1023, 454, 15612, 639, 454, 25835, 912, 7818, 14530, 3445, 276, 5881, 275, 271, 454, 12041, 912, 297, 517, 15541, 9155, 7288, 267, 2051, 514, 17566, 267, 7917, 30686, 6242, 454, 21812, 912, 310, 269, 670, 269, 6154, 17507, 454, 7093, 20412, 639, 454, 15612, 639, 454, 25835, 912, 7818, 25320, 276, 1240, 280, 2412, 276, 454, 12041, 912, 28061, 590, 29229, 454, 21812, 912, 14154, 12678, 2177, 454, 15612, 639, 281, 7216, 3690, 25728, 1581, 12793, 454, 15612, 639, 454, 25835, 912, 7818, 15836, 4037, 276, 25172, 277, 454, 12041, 912, 305, 517, 700, 1513, 517, 267, 23745, 670, 269, 29885, 454, 21812, 912, 290, 1263, 720, 4804, 0, 258, 2271, 337, 13917, 11973, 692, 263, 16446, 20526, 689, 20099, 11973, 2230, 2020, 1103, 519, 6310, 1353, 540, 11973, 5624, 267, 835, 666, 2015, 519, 818, 743 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1761, 585, 519, 14226, 540, 6705, 543, 741, 2244, 607, 1134, 269, 901, 1797, 519, 3646, 540, 6800, 543, 12696, 547, 1118, 2386, 602, 741, 9279, 517, 7491, 616, 16916, 538, 5683, 543, 4264, 2081, 269, 1306, 519, 2344, 585, 17310, 2472, 5170, 547, 1332, 543, 3262, 2429, 513, 6385, 4657, 1158, 267, 3549, 609, 4023, 543, 4264, 3347, 609, 6705, 543, 741, 3885, 786, 723, 513, 16854, 2179, 540, 1379, 538, 519, 2872, 269, 0, 1607, 18664, 965, 568, 3957, 1310, 513, 803, 20760, 593, 519, 8492, 540, 519, 5211, 774, 1868, 269, 634, 20679, 540, 3751, 3627, 543, 519, 20752, 4446, 976, 1958, 2086, 539, 1934, 693, 519, 19142, 540, 13804, 320, 14295, 320, 267, 593, 476, 1428, 4873, 476, 13199, 276, 269, 634, 1858, 568, 1631, 519, 3135, 540, 1896, 20375, 1519, 519, 13804, 320, 14295, 320, 18189, 543, 519, 3627, 674, 17394, 18189, 2966, 676, 2983, 32015, 808, 749, 545, 4141, 563, 763, 667, 2345, 1485, 3883, 540, 476, 10482, 277, 2982, 602, 1034, 540, 519, 10034, 543, 14252, 538, 14840, 333, 2096, 27827, 18664, 965, 1287, 20705, 547, 22216, 339, 8124, 30745, 267, 1472, 799, 8057, 519, 13840, 1271, 2344, 4884, 540, 22216, 339, 8124, 563, 763, 10694, 14252, 540, 1621, 548, 7615, 5682, 543, 18897, 701, 616, 2282, 661, 724, 600, 269, 634, 1858, 19646, 1082, 4277, 8978, 5656, 1519, 4279, 674, 739, 619, 267, 799, 3459, 1272, 607, 513, 476, 1626, 628, 2540, 4779, 730, 3135, 269, 9576, 4591, 869, 599, 2160, 568, 606, 14969, 2679, 609, 6189, 1759, 593, 1896, 476, 1626, 628, 2540, 3943, 669, 622, 14513, 563, 12812, 1934, 547, 1294, 519, 32562, 540, 519, 853, 6754, 779, 267, 5410, 331, 9693, 267, 3474, 880, 19475, 630, 8146, 276, 268, 2735, 272, 264, 4371, 693, 519, 5080, 9445, 3778, 10418, 269, 0, 2710, 2758, 4030, 593, 912, 4692, 1356, 18127, 10266, 9253, 534, 5448, 454, 4692, 1356, 568, 513, 1895, 540, 3676, 602, 568, 6353, 676, 29252, 1591, 2208, 3056, 547, 12289, 540, 4478, 8031, 602, 3262, 547, 824, 2694, 540, 519, 1560, 269, 9435, 666, 2253, 9170, 538, 519, 1560, 543, 568, 2356, 1644, 547, 835, 610, 811, 4719, 13592, 602, 1450, 3339, 2281, 547, 1831, 23872, 676, 7679, 1359, 609, 4835, 10408, 1852, 6127, 267, 971, 607, 23553, 1591, 2669, 610, 676, 7303, 3267, 5649, 811, 454, 8253, 6093, 281, 4495, 5761, 2860, 814, 1831, 3942, 2185, 621, 1797, 602, 621, 814, 9411, 883, 519, 1973, 6908, 543, 13175, 6029, 909, 1472, 519, 1560, 538, 4025, 824, 982, 519, 5761, 269, 15380, 891, 979, 547, 519, 2634, 267, 7633, 267, 29427, 15374, 267, 543, 6797, 269, 6314, 8839, 4422, 883, 519, 1973, 547, 16756, 1524, 543, 2119, 547, 6146, 891, 2281, 855, 4867, 609, 2015, 713, 2068, 607, 1521, 762, 1247, 711, 524, 9092, 269, 3267, 5649, 811, 8450, 476, 273, 811, 4387, 4267, 454, 5278, 6343, 281, 14904, 609, 5312, 26679, 616, 7466, 607, 2693, 607, 519, 2489, 2551, 547, 1020, 824, 30279, 17473, 267, 1519, 6089, 2860, 269, 901, 2693, 814, 547, 798, 609, 5312, 26679, 2550, 2348, 513, 4719, 32739, 267, 19847, 4761, 1949, 267, 610, 1175, 3622, 1373, 4587, 269, 3267, 5649, 811, 8450, 476, 272, 811, 4387, 2626, 454, 28646, 267, 6148, 711, 1862, 281, 31849, 540, 1919, 2285, 20585, 1928, 538, 17737, 269, 10434, 518, 547, 2995, 799, 1418, 267, 552, 3052, 269, 16690, 267, 607, 10353, 547, 575, 2106, 267, 7181, 267, 7086, 31041, 267, 3092, 269, 8786, 267, 2860, 540, 3935, 666, 581, 1028, 665, 609, 20585, 1928, 267, 855, 849, 1100, 1928, 693, 782, 267, 8325, 1928, 267, 7298, 1973, 267, 1624, 738, 1973, 267, 1100, 1973, 267, 1689, 538, 15108, 4356, 267, 2597, 2530, 267, 3092, 269, 6423, 707, 2703, 267, 1205, 8947, 269, 3267, 5649, 811, 454, 306, 638, 13904, 13099, 650, 5448, 1299, 15499, 13849, 25936, 609, 9793, 4110, 540, 5312, 8819, 8539, 269, 7490, 2491, 286, 5689, 17257, 286, 595, 9092, 286, 932, 1734, 540, 2860, 888, 1103, 3069, 267, 17150, 2860, 2281, 666, 3262, 9170, 538, 519, 1560, 281, 769, 2259, 267, 1498, 267, 1034, 2665, 540, 17150, 2860, 22037, 12118, 2049, 538, 519, 9726, 9136, 543, 519, 7633, 269, 1160, 8063, 2860, 22037, 12118, 4386, 950, 2281, 2736, 2476, 689, 519, 10510, 538, 519, 17150, 269, 634, 2860, 2281, 666, 2951, 998, 519, 30754, 1062, 610, 519, 18072, 547, 824, 2127, 540, 519, 1560, 269, 2859, 4122, 17150, 2860, 22037, 12118, 666, 2049, 538, 519, 281, 645, 2158, 267, 700, 8233, 9136, 267, 25016, 338, 267, 20506, 267, 11020, 269, 27824, 6753, 540, 17150, 2860, 22037, 12118, 1331, 281, 1520, 1066, 531, 15374, 267, 6601, 6814, 267, 28438, 267, 17718, 7958, 267, 4053, 3380, 267, 7754, 17759, 267, 6428, 643, 776, 15374, 267, 590, 921, 523, 269, 1403, 596, 4312, 1044, 8995, 609, 17150, 2860, 543, 596, 2811, 7255, 827, 17150, 2860, 22037, 12118, 267, 2911, 609, 707, 4387, 827, 707, 1981, 540, 17150, 2860, 22037, 12118, 543, 707, 2126, 3681, 269, 3267, 5649, 811, 454, 3682, 8063, 2860, 281, 901, 568, 606, 4359, 3942, 540, 17150, 2860, 282, 519, 1434, 3377, 568, 972, 616, 1082, 1007, 5061, 543, 5574, 585, 2367, 538, 713, 3942, 602, 723, 1044, 3254, 547, 8831, 1272, 282, 538, 713, 3942, 6668, 568, 5393, 4756, 689, 3275, 547, 1296, 3884, 1405, 7543, 269, 3267, 5649, 811, 8450, 476, 272, 811, 4387, 2626, 454, 1607, 5673, 281, 634, 2626, 5673, 593, 1082, 2188, 269, 1215, 2025, 568, 519, 1086, 821, 267, 1018, 824, 2564, 2042, 798, 789, 723, 267, 950, 1705, 519, 6089, 2860, 1101, 2049, 267, 1018, 824, 4609, 616, 3238, 267, 1018, 616, 519, 4162, 540, 519, 2860, 630, 652, 4088, 267, 1160, 2471, 614, 821, 13364, 267, 1200, 273, 270, 928, 340, 4567, 264, 543, 1018, 1991, 5574, 941, 13950, 616, 930, 540, 519, 2152, 602, 3815, 883, 606, 2626, 269, 3267, 5649, 811, 8450, 476, 272, 811, 4387, 2626, 454, 16412, 2860, 568, 281, 1133, 21720, 267, 865, 1906, 2090, 2944, 19175, 1947, 269, 18391, 693, 2164, 538, 1004, 5701, 10686, 1227, 267, 5310, 835, 1268, 538, 476, 1015, 786, 4431, 269, 2334, 2115, 547, 581, 7059, 1996, 2427, 2360, 602, 4043, 547, 2049, 538, 1034, 269, 7671, 4901, 827, 10835, 678, 7758, 3971, 1445, 2864, 982, 834, 3333, 8667, 10510, 257, 693, 782, 1942, 269, 3267, 5649, 811, 8450, 476, 272, 811, 4387, 2626, 454, 3682, 8063, 2860, 281, 634, 1034, 1455, 22037, 1738, 3135, 1131, 581, 7633, 268, 24392, 621, 849, 666, 979, 547, 824, 4609, 268, 9726, 15374, 267, 5761, 267, 6797, 3092, 907, 12580, 786, 4096, 593, 519, 4087, 540, 22037, 1162, 269, 24942, 1928, 267, 18655, 1131, 581, 519, 2589, 540, 536, 3415, 544, 1115, 269, 1403, 3262, 547, 519, 11105, 1858, 971, 607, 15485, 1858, 268, 1973, 538, 10729, 267, 2539, 17737, 1928, 267, 2625, 530, 328, 270, 30614, 267, 25518, 666, 4755, 269, 13379, 2530, 267, 8467, 616, 1455, 1932, 269, 3267, 5649, 811, 8450, 476, 272, 811, 4387, 2626, 454, 4692, 1356, 853, 1645, 281, 5272, 3099, 540, 2860, 814, 513, 2189, 513, 329, 764, 588, 1645, 1062, 267, 1634, 607, 519, 834, 339, 19282, 257, 1062, 269, 634, 834, 339, 257, 851, 2882, 519, 2450, 540, 519, 3119, 10510, 269, 1411, 1705, 711, 14574, 2436, 596, 5921, 513, 3119, 10510, 267, 971, 607, 6089, 267, 3935, 267, 610, 5761, 267, 602, 814, 22037, 553, 1242, 547, 513, 5642, 267, 610, 596, 2731, 5921, 513, 3119, 5642, 10510, 269, 1403, 519, 5449, 267, 519, 2860, 568, 513, 3942, 476, 275, 27295, 910, 3978, 269, 1403, 519, 8545, 267, 621, 5673, 269, 10261, 811, 9623, 269, 3267, 5649, 811, 8450, 476, 272, 811, 4387, 2626, 454, 8133, 281, 2871, 3660, 11052, 543, 3834, 2254, 515, 2805, 666, 849, 1689, 875, 938, 2634, 3157, 1928, 269, 634, 1995, 540, 1928, 568, 1644, 547, 519, 2707, 540, 519, 1928, 5365, 543, 1018, 519, 2634, 1281, 609, 602, 1928, 5365, 269, 594, 4312, 1185, 1004, 609, 7745, 7953, 9361, 543, 32127, 1317, 789, 5433, 1100, 1928, 269, 2871, 3660, 11052, 666, 1689, 519, 8226, 540, 519, 1928, 269, 3267, 5649, 811, 8450, 476, 273, 811, 4387, 4267, 454, 3963, 568, 856, 21453, 585, 2860, 2550, 547, 1205, 948, 609, 5312, 1928, 609, 27640, 18352, 585, 513, 1279, 942, 8117, 711, 1004, 609, 5312, 11213, 3676, 286, 589, 3220, 11540, 602, 593, 1934, 835, 454, 7069, 2860, 2126, 8694, 269, 769, 4728, 269, 594, 993, 538, 1121, 2153, 269, 594, 849, 7985, 689, 5312, 1928, 269, 3733, 7385, 2451, 803, 585, 1776, 812, 538, 5463, 269, 1656, 594, 6415, 9870, 938, 5067, 4805, 269, 594, 6410, 547, 1250, 554, 32528, 563, 1432, 949, 581, 2469, 593, 609, 1250, 1560, 286, 594, 1185, 17818, 2860, 476, 275, 1296, 3516, 269, 594, 993, 476, 2537, 543, 594, 723, 1185, 5312, 1928, 2094, 1775, 5795, 4332, 547, 1250, 5067, 476, 275, 1296, 3516, 563, 2791, 991, 547, 1294, 11022, 281, 1284, 666, 711, 1174, 1018, 596, 616, 3843, 547, 2307, 610, 917, 593, 713, 3135, 267, 649, 616, 1934, 547, 948, 1004, 945, 723, 16048, 2055, 855, 707, 2243, 1281, 711, 1118, 1022, 521, 775, 543, 4667, 547, 581, 711, 585, 713, 3135, 2348, 1767, 602, 267, 596, 1185, 17818, 2860, 543, 596, 723, 1928, 1141, 286, 1280, 2185, 1296, 543, 596, 723, 711, 30409, 707, 7189, 543, 596, 1616, 721, 547, 2995, 596, 1018, 568, 2469, 593, 609, 707, 1560, 2307, 707, 4387, 269, 3267, 5649, 811, 454, 29381, 25427, 270, 8117, 339, 1442, 7959, 22224, 543, 2620, 5312, 1928, 585, 936, 513, 1032, 1631, 269, 623, 339, 814, 660, 5280, 269, 29243, 2469, 593, 286, 1937, 3072, 827, 2860, 10756, 5353, 3164, 12636, 1928, 950, 14593, 593, 9900, 267, 476, 273, 9634, 835, 538, 2539, 835, 538, 4571, 1394, 269, 16393, 713, 581, 11983, 2860, 286, 18127, 1928, 267, 1185, 1085, 10008, 2670, 1535, 2001, 476, 277, 544, 3516, 563, 19284, 569, 281, 24942, 2860, 1281, 2014, 11983, 1928, 855, 1082, 824, 3123, 616, 811, 2693, 547, 581, 519, 2707, 540, 707, 1928, 269, 24942, 2860, 568, 3006, 5433, 607, 513, 26686, 543, 568, 1419, 8338, 693, 3781, 269, 2473, 17530, 666, 581, 5363, 607, 16523, 1705, 711, 1397, 4191, 540, 2860, 269, 4033, 4255, 666, 581, 2944, 952, 2877, 269, 1403, 1928, 568, 5312, 267, 621, 568, 811, 2693, 547, 581, 7344, 1928, 538, 10549, 267, 6091, 267, 610, 1813, 547, 1167, 2042, 269, 3267, 5649, 811, 8450, 476, 272, 811, 4387, 2626, 454, 2412, 1296, 2025, 4807, 609, 5312, 1928, 538, 2451, 13105, 266, 2451, 6089, 1928, 3587, 8338, 1282, 1974, 543, 10566, 294, 266, 292, 11155, 616, 3339, 267, 568, 621, 6089, 2860, 888, 23921, 544, 600, 6945, 270, 738, 571, 281, 901, 666, 581, 513, 1297, 540, 1919, 269, 6089, 1928, 568, 711, 513, 1455, 9306, 10835, 540, 6089, 2860, 267, 855, 666, 2049, 269, 6089, 1928, 1282, 544, 5151, 568, 1455, 1813, 547, 23822, 618, 540, 519, 6089, 28954, 1282, 519, 21110, 10006, 269, 594, 1131, 723, 513, 7882, 6945, 610, 16953, 952, 596, 723, 513, 11213, 26686, 267, 4352, 713, 568, 2356, 1813, 547, 4017, 24945, 10973, 2068, 3267, 5649, 811, 8450, 476, 273, 811, 4387, 4267, 454, 8310, 476, 275, 4374, 1185, 5312, 1928, 896, 2451, 13105, 16405, 1299, 1524, 6186, 1299, 32688, 11263, 1299, 15319, 2451, 6089, 269, 1261, 908, 14950, 2337, 269, 2052, 713, 581, 5761, 2860, 888, 303, 514, 3481, 8229, 281, 634, 1928, 602, 596, 4766, 568, 811, 2693, 689, 513, 1200, 333, 7007, 1167, 610, 23296, 2670, 540, 519, 17818, 12636, 630, 541, 9374, 264, 982, 5761, 2860, 269, 1323, 18909, 540, 519, 17818, 12636, 543, 2909, 577, 658, 533, 2716, 639, 786, 3313, 952, 713, 568, 513, 12636, 1966, 610, 513, 2860, 1966, 269, 6423, 513, 12636, 11285, 547, 3313, 519, 2014, 540, 519, 1928, 543, 547, 2253, 513, 2126, 1544, 269, 3267, 5649, 811, 8450, 476, 273, 811, 4387, 4267, 454, 288, 1375, 4809, 2860, 281, 9253, 534, 5448, 10953, 689, 14264, 14231, 2281, 540, 519, 2539, 6106, 538, 519, 2960, 269, 1452, 2281, 3132, 23416, 543, 519, 2681, 540, 2960, 269, 1879, 789, 1106, 883, 2860, 621, 666, 1332, 2234, 6053, 543, 7184, 799, 666, 581, 5906, 607, 621, 666, 13604, 3262, 547, 824, 2127, 540, 519, 1560, 269, 1703, 616, 4719, 19753, 21752, 607, 1134 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1535, 14289, 454, 1892, 2098, 14058, 666, 849, 581, 1572, 1535, 25435, 338, 610, 5072, 454, 1892, 634, 7852, 540, 15340, 17337, 519, 29236, 538, 3368, 8449, 454, 1892, 634, 14584, 540, 513, 29236, 568, 1141, 519, 29236, 543, 7852, 540, 15340, 2743, 454, 1892, 634, 14584, 568, 1141, 519, 29236, 568, 693, 922, 5021, 610, 5934, 1871, 454, 1892, 634, 6099, 1871, 568, 519, 1871, 540, 519, 586, 1071, 268, 15453, 540, 519, 14584, 454, 1892, 634, 586, 25435, 568, 1141, 519, 3113, 22613, 519, 586, 14289, 692, 1012, 476, 272, 264, 7305, 540, 18880, 692, 288, 3349, 540, 2418, 568, 1031, 547, 1265, 519, 1101, 543, 2034, 3604, 267, 1879, 519, 1101, 3604, 616, 519, 1482, 621, 568, 513, 5276, 6935, 543, 950, 519, 2034, 3604, 616, 519, 1482, 621, 568, 513, 9076, 18267, 5114, 269, 769, 1931, 547, 1265, 519, 1101, 3604, 596, 1590, 10208, 519, 2474, 538, 519, 586, 17032, 689, 1142, 824, 267, 543, 547, 1265, 519, 2034, 3604, 596, 1590, 10208, 519, 1101, 3017, 2474, 689, 1142, 824, 780, 1012, 476, 273, 264, 28977, 692, 2691, 24275, 610, 3168, 693, 11708, 519, 1899, 7429, 513, 5276, 6935, 1590, 581, 17208, 780, 1012, 15766, 908, 7638, 23753, 4813, 692, 763, 7638, 23753, 4813, 586, 284, 513, 3287, 3620, 8203, 273, 1341, 737, 3947, 721, 519, 519, 1871, 540, 519, 7852, 540, 15340, 543, 6099, 1871, 269, 634, 1871, 540, 834, 327, 257, 3947, 721, 519, 7852, 540, 15340, 269, 634, 1871, 540, 834, 330, 257, 3947, 721, 519, 6099, 1871, 267, 543, 1927, 834, 327, 257, 543, 834, 330, 257, 3947, 721, 519, 14584, 540, 513, 29236, 269, 634, 14584, 1106, 849, 3947, 2476, 267, 519, 7299, 12701, 610, 13496, 676, 513, 3815, 540, 834, 320, 6231, 1012, 8641, 532, 538, 7638, 23753, 4813, 692, 27486, 12224, 966, 22432, 302, 28313, 630, 291, 24535, 2020, 1012, 15531, 606, 17817, 538, 7638, 23753, 4813, 4635, 513, 8641, 692, 27486, 12224, 966, 22432, 302, 28313, 630, 291, 24535, 2020, 1012, 17992, 725, 540, 21408, 18267, 538, 7638, 23753, 4813, 692, 13706, 513, 29236, 1384, 344, 815, 476, 274, 3287, 268, 272, 8203, 273, 266, 273, 692, 344, 815, 513, 3287, 3620, 8203, 273, 266, 330, 692, 9558, 331, 725, 1384, 763, 29236, 786, 1930, 909, 2073, 621, 568, 19794, 19316, 676, 513, 3815, 540, 476, 274, 269, 898, 568, 23276, 12261, 547, 519, 1318, 676, 476, 272, 1770, 543, 19794, 12261, 909, 676, 476, 273, 4559, 780, 19723, 23753, 4813, 1384, 1892, 634, 834, 320, 257, 11887, 4365, 621, 568, 19794, 19316, 610, 21401, 630, 333, 5535, 610, 2647, 1040, 1403, 519, 834, 320, 257, 1871, 568, 3152, 982, 476, 272, 267, 519, 29236, 786, 581, 19794, 21401, 543, 952, 519, 1871, 540, 834, 320, 257, 568, 1447, 982, 476, 272, 519, 29236, 786, 581, 19794, 19316, 563, 1892, 634, 834, 327, 257, 1871, 786, 3947, 721, 519, 8880, 8144, 540, 1318, 610, 2451, 563, 1892, 634, 834, 330, 257, 1871, 786, 2285, 721, 519, 7299, 8144, 540, 909, 610, 1524, 563, 1892, 634, 1129, 538, 4395, 540, 519, 834, 320, 257, 1871, 786, 3313, 952, 519, 29236, 1930, 22705, 610, 1524, 267, 1403, 519, 1129, 568, 513, 2318, 621, 786, 1930, 909, 267, 543, 952, 519, 1129, 568, 513, 2942, 267, 621, 786, 1930, 1524, 563, 1892, 5457, 602, 519, 834, 327, 257, 1871, 786, 1689, 4191, 950, 4547, 856, 689, 519, 31455, 267, 952, 621, 568, 513, 2942, 538, 519, 31455, 621, 786, 1831, 513, 2318, 3544, 519, 31455, 267, 4061, 786, 1847, 547, 519, 1318, 267, 543, 13030, 268, 951, 320, 780, 1012, 5675, 12307, 689, 9717, 17992, 725, 692, 2252, 2016, 519, 7004, 540, 513, 29236, 267, 585, 1383, 1384, 763, 3113, 540, 586, 815, 1535, 317, 273, 568, 6679, 18746, 267, 21401, 19794, 676, 513, 3815, 540, 476, 274, 267, 12261, 23276, 547, 519, 2451, 676, 476, 275, 4559, 543, 12261, 19794, 1524, 676, 476, 276, 4559, 780, 763, 3830, 1131, 1831, 1384, 344, 815, 910, 274, 3287, 266, 275, 8203, 273, 910, 476, 276, 692, 1012, 29570, 3502, 566, 692, 300, 6260, 10035, 568, 1031, 547, 8308, 3113, 1022, 13392, 6935, 780, 1103, 2489, 267, 547, 979, 689, 519, 3113, 540, 586, 815, 1535, 317, 273, 547, 586, 815, 513, 3287, 3620, 8203, 273, 1341, 737, 596, 666, 946, 519, 11837, 10035, 1384, 3287, 11971, 264, 815, 1535, 1341, 554, 267, 32318, 1341, 476, 272, 692, 7078, 1384, 320, 264, 586, 815, 276, 3287, 268, 275, 8203, 273, 1341, 476, 273, 786, 1831, 1535, 1341, 476, 275, 267, 476, 276, 344, 1341, 476, 273, 692, 321, 264, 586, 815, 263, 343, 266, 278, 8203, 273, 786, 1831, 1535, 910, 476, 278, 267, 586, 692, 322, 264, 586, 815, 263, 343, 268, 274, 8203, 273, 1341, 476, 276, 786, 1831, 1535, 1341, 476, 274, 267, 586, 1341, 276, 692, 308, 660, 12822, 692, 1012, 6478, 10819, 585, 21408, 18267, 538, 7638, 23753, 4813, 692, 21776, 476, 1789, 267, 476, 1001, 276, 692, 1012, 15531, 1535, 543, 586, 18448, 338, 538, 7638, 23753, 4813, 692, 21776, 476, 1789, 267, 476, 1001, 276, 692, 1012, 476, 276, 269, 272, 5564, 28745, 23642, 6706, 338, 692, 8245, 680, 4328, 21335, 2882, 1312, 10655, 899, 2474, 543, 946, 540, 519, 2733, 5737, 3959, 269, 898, 568, 1271, 547, 581, 2386, 547, 946, 645, 3633, 631, 3008, 693, 782, 2053, 269, 5890, 9426, 3652, 1590, 581, 1031, 585, 1312, 8691, 543, 6498, 950, 28976, 780, 2691, 14921, 23481, 338, 972, 616, 1079, 3652, 596, 1590, 1246, 692, 272, 269, 20518, 5737, 16296, 454, 273, 269, 11814, 899, 2474, 692, 7078, 476, 272, 1384, 3287, 266, 274, 7565, 343, 266, 275, 2020, 272, 269, 1284, 786, 946, 519, 2733, 5737, 3959, 547, 9062, 519, 1101, 1079, 2474, 454, 273, 269, 3973, 649, 786, 9062, 519, 1079, 6418, 2474, 609, 519, 9018, 2474, 543, 1039, 519, 6364, 267, 538, 713, 2013, 519, 9018, 2165, 568, 476, 272, 865, 596, 1131, 3274, 1039, 476, 274, 543, 476, 275, 454, 274, 269, 3973, 649, 786, 9062, 519, 1079, 6418, 2474, 609, 1142, 824, 692, 343, 317, 273, 1341, 476, 275, 343, 1341, 476, 274, 343, 1341, 476, 1321, 692, 272, 269, 14936, 649, 786, 1039, 519, 899, 2474, 1927, 692, 343, 317, 273, 1341, 476, 278, 343, 1341, 476, 1321, 692, 7230, 5407, 910, 25092, 11664, 1341, 1039, 1379, 692, 273, 343, 317, 273, 630, 273, 343, 2020, 275, 343, 317, 274, 692, 7078, 476, 273, 1384, 273, 343, 263, 274, 343, 268, 275, 264, 1341, 630, 343, 266, 274, 264, 910, 630, 273, 343, 268, 278, 2020, 263, 277, 343, 317, 273, 268, 279, 343, 264, 1341, 630, 343, 266, 274, 264, 910, 630, 273, 343, 268, 278, 2020, 263, 277, 343, 317, 273, 268, 278, 343, 266, 274, 264, 910, 630, 273, 343, 268, 278, 2020, 277, 343, 317, 273, 910, 476, 278, 343, 910, 476, 273, 343, 1341, 476, 274, 1341, 476, 278, 692, 277, 343, 317, 273, 910, 476, 280, 343, 1341, 476, 1015, 692, 1012, 476, 276, 269, 273, 7981, 15733, 692, 763, 4542, 585, 28809, 513, 2027, 1587, 568, 513, 317, 273, 1341, 476, 273, 629, 1341, 536, 317, 273, 815, 630, 320, 17070, 8203, 273, 543, 630, 320, 1532, 8203, 273, 692, 7078, 1384, 263, 274, 344, 266, 278, 343, 264, 815, 513, 317, 273, 1341, 476, 273, 629, 1341, 536, 317, 273, 692, 263, 274, 344, 8203, 273, 1341, 476, 273, 263, 274, 344, 7565, 278, 343, 264, 1341, 630, 278, 343, 8203, 273, 692, 280, 344, 317, 273, 1341, 476, 5655, 15383, 317, 273, 1341, 476, 5392, 343, 317, 273, 692, 1012, 476, 276, 269, 274, 5871, 5517, 1681, 692, 15542, 1681, 568, 519, 6587, 540, 9750, 267, 519, 1614, 2409, 540, 28809, 616, 1384, 272, 269, 15531, 519, 717, 20003, 454, 273, 269, 5871, 5517, 1681, 454, 274, 269, 717, 29470, 692, 272, 269, 1879, 28809, 676, 717, 20003, 267, 596, 3274, 1265, 519, 6574, 1455, 3815, 540, 519, 2474, 2073, 585, 1383, 519, 2474, 476, 276, 322, 1341, 476, 1015, 323, 1312, 723, 476, 276, 538, 1455, 267, 865, 596, 7941, 1312, 2474, 676, 476, 276, 269, 1411, 2141, 1832, 519, 1455, 3815, 3544, 540, 519, 31455, 543, 1747, 3388, 3116, 3330, 540, 519, 31455, 267, 14298, 476, 276, 6262, 266, 273, 323, 6393, 273, 269, 5871, 5517, 1681, 568, 950, 519, 1079, 23481, 338, 616, 4010, 519, 1482, 267, 585, 1383, 692, 276, 343, 263, 274, 343, 266, 273, 264, 1341, 476, 275, 263, 274, 343, 266, 273, 1070, 2094, 519, 1079, 23481, 338, 616, 519, 1482, 596, 786, 2322, 873, 607, 835, 31455, 543, 1747, 519, 6967, 883, 1776, 31455, 865, 267, 630, 274, 343, 266, 273, 7565, 276, 343, 266, 275, 6393, 274, 269, 1879, 23454, 2188, 596, 1895, 513, 1305, 540, 1079, 899, 2474, 883, 23049, 692, 1892, 4949, 1341, 32318, 1341, 476, 273, 343, 1341, 476, 273, 344, 454, 1892, 630, 1314, 266, 599, 264, 1341, 630, 273, 343, 266, 273, 344, 2020, 10190, 596, 786, 4894, 519, 899, 2165, 547, 519, 3544, 540, 519, 31455, 692, 1892, 513, 3287, 20742, 264, 1341, 476, 273, 3287, 20742, 2020, 3086, 2094, 596, 666, 1294, 602, 972, 568, 513, 1455, 23481, 596, 1246, 519, 3652, 585, 5871, 28809, 692, 1892, 630, 320, 266, 273, 7565, 343, 20742, 2020, 1012, 476, 276, 269, 275, 5517, 1681, 11822, 2558, 30796, 338, 692, 763, 3830, 1031, 585, 28809, 2241, 959, 30796, 338, 568, 4949, 317, 273, 1341, 536, 343, 1341, 524, 692, 8489, 1535, 568, 513, 4756, 543, 834, 320, 2580, 834, 321, 2580, 834, 322, 257, 616, 21635, 780, 2791, 666, 3815, 513, 13392, 538, 3044, 1106, 547, 1205, 1249, 1819, 1106, 1384, 343, 317, 273, 1341, 536, 343, 1341, 524, 815, 630, 343, 266, 337, 7565, 343, 1606, 2020, 4306, 291, 11123, 300, 5517, 1819, 4813, 692, 8489, 834, 337, 266, 338, 257, 568, 257, 536, 257, 543, 834, 678, 338, 257, 568, 834, 322, 5016, 3721, 476, 272, 281, 4855, 519, 1587, 543, 2040, 692, 1892, 1265, 519, 1079, 2338, 4171, 1587, 568, 834, 322, 4840, 1892, 1265, 519, 1079, 2338, 4171, 2040, 568, 834, 321, 5016, 7078, 476, 272, 281, 1535, 317, 273, 1341, 476, 277, 343, 1341, 476, 276, 692, 272, 269, 4855, 519, 1079, 2338, 4171, 1587, 950, 16611, 568, 476, 276, 630, 272, 7565, 276, 264, 815, 476, 276, 454, 273, 269, 4855, 519, 1079, 2338, 950, 3773, 1927, 11224, 547, 476, 277, 476, 276, 266, 272, 815, 476, 277, 454, 274, 269, 634, 1249, 1819, 1106, 786, 581, 630, 343, 266, 276, 7565, 343, 266, 277, 2020, 16100, 693, 519, 4191, 540, 834, 321, 257, 543, 834, 322, 257, 547, 1118, 621, 4443, 547, 4137, 856, 519, 1129, 540, 519, 1079, 2338, 692, 1892, 952, 834, 321, 257, 543, 834, 322, 257, 616, 2318, 267, 1312, 834, 337, 257, 543, 834, 338, 4840, 1892, 952, 834, 321, 257, 568, 2942, 543, 834, 322, 257, 568, 2318, 2073, 1312, 834, 337, 257, 543, 834, 338, 257, 616, 2942, 454, 1892, 952, 834, 322, 257, 568, 2942, 2073, 1152, 21450, 540, 834, 337, 257, 610, 834, 338, 257, 568, 2942, 454, 1892, 952, 1312, 834, 322, 257, 543, 834, 321, 257, 616, 2942, 267, 1152, 21450, 540, 834, 337, 257, 610, 834, 338, 257, 568, 2942, 692, 7078, 476, 273, 1384, 333, 317, 273, 1341, 476, 277, 333, 1341, 476, 279, 692, 263, 275, 7565, 273, 264, 815, 476, 279, 692, 275, 1341, 476, 273, 815, 476, 277, 692, 3799, 266, 275, 7565, 333, 266, 273, 2020, 1012, 476, 276, 269, 276, 5517, 1681, 13216, 2558, 30796, 338, 692, 8855, 649, 616, 3843, 547, 2736, 1524, 519, 1647, 2165, 865, 602, 621, 1226, 919, 547, 476, 275, 2474, 693, 799, 649, 666, 8399, 547, 3815, 676, 23454, 780, 272, 269, 11408, 1413, 585, 513, 1455, 3815, 454, 273, 269, 1677, 3815, 4949, 317, 273, 1341, 536, 343, 1341, 524, 267, 1265, 519, 1079, 9981, 4171, 1587, 568, 834, 659, 257, 543, 4171, 2040, 568, 834, 321, 2580, 2147, 547, 2241, 959, 30796, 28809, 692, 7078, 476, 272, 1384, 274, 343, 317, 273, 1341, 476, 279, 343, 1341, 476, 275, 692, 263, 274, 7565, 275, 264, 815, 476, 1321, 692, 263, 273, 7565, 277, 264, 815, 476, 1321, 692, 273, 1341, 476, 277 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7223, 274, 692, 14006, 539, 676, 16317, 6518, 8635, 568, 512, 613, 3070, 540, 476, 277, 343, 2942, 476, 274, 3152, 982, 610, 815, 547, 476, 278, 7132, 476, 275, 343, 888, 320, 269, 348, 343, 568, 3152, 982, 610, 815, 1729, 2942, 476, 276, 454, 321, 269, 348, 343, 568, 3152, 982, 610, 284, 547, 476, 276, 454, 322, 269, 348, 343, 568, 1447, 982, 610, 815, 547, 476, 276, 454, 323, 269, 348, 343, 568, 1447, 982, 610, 815, 547, 2942, 476, 276, 692, 277, 343, 910, 476, 274, 21759, 476, 278, 1341, 476, 275, 343, 692, 24169, 606, 8635, 899, 596, 1131, 606, 3830, 267, 609, 835, 9868, 269, 24269, 596, 9062, 610, 7941, 676, 513, 2942, 1297, 267, 9258, 519, 8635, 1129, 780, 9359, 676, 3478, 519, 4756, 593, 835, 2427, 780, 8138, 339, 847, 476, 275, 343, 689, 1312, 5011, 269, 21894, 5106, 596, 798, 547, 835, 2427, 267, 596, 1590, 798, 547, 519, 824, 2427, 607, 1134, 780, 277, 343, 910, 476, 275, 343, 910, 476, 274, 21759, 476, 278, 1341, 476, 275, 343, 910, 476, 275, 343, 692, 273, 343, 910, 476, 274, 21759, 476, 278, 692, 4692, 596, 1491, 621, 689, 1934, 547, 9096, 2496, 296, 4126, 713, 786, 948, 269, 0, 258, 1215, 798, 594, 4194, 713, 26344, 6248, 5772, 885, 286, 1900, 676, 1900, 2496, 277, 16009, 317, 273, 1535, 910, 476, 275, 5609, 317, 273, 343, 815, 476, 272, 585, 476, 271, 2999, 610, 815, 547, 1535, 2999, 610, 815, 476, 273, 7032, 692, 24216, 3967, 476, 1626, 267, 476, 1001, 274, 692, 266, 272, 8917, 692, 277, 11927, 273, 343, 910, 476, 275, 7562, 273, 343, 815, 476, 272, 585, 1496, 476, 271, 2999, 1535, 2999, 476, 273, 11027, 476, 6540, 9616, 2433, 1496, 18000, 288, 815, 5609, 288, 1315, 5430, 288, 476, 6540, 277, 27007, 7562, 273, 343, 264, 1315, 630, 6523, 273, 343, 13580, 910, 476, 275, 7562, 273, 343, 815, 476, 272, 692, 11372, 17586, 1142, 2427, 676, 5430, 273, 343, 692, 277, 27007, 7562, 273, 343, 264, 1315, 630, 6523, 273, 343, 13580, 630, 6523, 273, 343, 9984, 476, 275, 4433, 514, 273, 343, 264, 630, 6523, 273, 343, 6661, 476, 272, 6262, 657, 273, 343, 2020, 8245, 680, 1518, 692, 277, 4433, 514, 273, 343, 264, 910, 476, 275, 4433, 514, 273, 343, 264, 630, 6523, 273, 343, 6661, 630, 6523, 273, 343, 2020, 13528, 3121, 2433, 314, 5609, 273, 343, 1341, 5430, 273, 343, 815, 476, 272, 2073, 1109, 5430, 273, 343, 815, 476, 272, 910, 5609, 273, 343, 476, 6540, 277, 4433, 514, 273, 343, 264, 910, 476, 275, 4433, 514, 273, 343, 264, 630, 272, 910, 5609, 273, 343, 6661, 630, 272, 910, 5609, 273, 343, 2020, 277, 4433, 514, 273, 343, 264, 910, 476, 275, 4433, 514, 273, 343, 264, 1109, 1341, 476, 275, 4433, 514, 273, 343, 7565, 7562, 273, 343, 6661, 630, 272, 910, 5609, 273, 343, 2020, 273, 4433, 514, 273, 343, 264, 1341, 476, 275, 4433, 514, 275, 343, 264, 815, 630, 272, 910, 5609, 273, 343, 2020, 11754, 630, 5609, 273, 343, 910, 476, 272, 264, 547, 1142, 2427, 692, 273, 4433, 514, 273, 343, 264, 1341, 476, 275, 4433, 514, 275, 343, 264, 1341, 630, 5609, 273, 343, 910, 476, 272, 264, 815, 630, 272, 910, 5609, 273, 343, 264, 1341, 630, 5609, 273, 343, 910, 476, 272, 2020, 8245, 680, 1518, 692, 275, 4433, 514, 275, 343, 264, 1341, 476, 274, 5609, 273, 343, 910, 476, 272, 815, 476, 271, 692, 4131, 5609, 273, 343, 815, 512, 692, 2467, 2062, 780, 275, 339, 273, 1341, 476, 274, 339, 910, 476, 272, 815, 476, 271, 692, 3086, 4194, 519, 3830, 3815, 1505, 692, 275, 339, 273, 1341, 476, 275, 339, 910, 512, 910, 476, 272, 815, 476, 271, 692, 12648, 856, 1455, 2188, 780, 275, 339, 6025, 1341, 476, 272, 264, 910, 476, 272, 6025, 1341, 476, 272, 264, 815, 476, 271, 692, 12648, 856, 1455, 2188, 780, 263, 275, 339, 910, 476, 272, 7565, 339, 1341, 476, 272, 264, 815, 476, 271, 692, 275, 339, 910, 476, 272, 815, 476, 271, 1109, 610, 1741, 512, 1341, 476, 272, 815, 476, 271, 692, 11754, 476, 272, 547, 1142, 2427, 692, 275, 339, 910, 476, 272, 1341, 476, 272, 815, 476, 271, 1341, 476, 272, 692, 275, 339, 815, 476, 272, 692, 19667, 728, 1142, 2427, 676, 476, 275, 780, 275, 339, 1315, 476, 275, 815, 476, 272, 1315, 476, 275, 692, 339, 815, 476, 272, 270, 275, 692, 4517, 1109, 512, 1341, 476, 272, 815, 476, 271, 692, 8138, 339, 847, 476, 272, 689, 1142, 2427, 780, 339, 1341, 476, 272, 910, 476, 272, 815, 910, 476, 272, 692, 339, 815, 910, 476, 272, 692, 2467, 2062, 692, 339, 815, 476, 272, 1315, 476, 275, 3396, 543, 512, 815, 910, 476, 272, 692, 3719, 1109, 512, 815, 5609, 273, 343, 692, 7562, 273, 343, 815, 476, 272, 1315, 476, 275, 1109, 543, 5609, 273, 343, 815, 910, 476, 272, 692, 7562, 273, 343, 815, 476, 272, 1315, 476, 275, 692, 10190, 692, 7562, 343, 815, 476, 272, 1315, 476, 273, 692, 7562, 343, 815, 5609, 476, 1789, 692, 343, 815, 476, 1789, 815, 12631, 1315, 476, 277, 692, 7562, 273, 343, 815, 910, 476, 272, 692, 1320, 534, 692, 7562, 343, 815, 20734, 8987, 272, 2020, 343, 815, 5609, 268, 272, 18414, 8987, 272, 2020, 2467, 2062, 1535, 815, 12631, 1315, 476, 277, 610, 5609, 268, 272, 18414, 8987, 272, 2020, 753, 26833, 3967, 476, 866, 267, 476, 1001, 274, 0, 258, 932, 476, 276, 630, 8512, 4083, 2567, 11822, 26682, 692, 1012, 19809, 593, 6249, 281, 834, 2419, 476, 276, 630, 8512, 4083, 2567, 11822, 26682, 257, 1765, 19809, 13973, 1384, 2419, 476, 276, 630, 8512, 4083, 2567, 11822, 26682, 454, 16498, 3163, 932, 476, 276, 630, 8512, 4083, 2567, 11822, 26682, 692, 288, 5102, 2917, 568, 513, 9240, 3437, 8868, 609, 513, 18052, 610, 5832, 538, 519, 9240, 913, 267, 799, 29226, 1472, 513, 6378, 1448, 780, 288, 2582, 6378, 5102, 2917, 568, 7923, 547, 606, 1799, 990, 762, 2627, 563, 2005, 2242, 519, 4287, 540, 519, 3196, 267, 855, 711, 519, 2450, 269, 1924, 519, 631, 6993, 269, 568, 476, 272, 780, 288, 2582, 1940, 762, 5102, 2917, 568, 711, 7923, 547, 513, 19335, 2627, 267, 543, 568, 1863, 547, 1847, 563, 288, 2582, 1940, 762, 5102, 2917, 814, 513, 7344, 5413, 540, 476, 273, 780, 9989, 519, 7344, 5413, 540, 476, 273, 585, 513, 2582, 1940, 762, 5102, 2917, 1611, 602, 596, 3580, 2333, 519, 2179, 540, 960, 596, 1205, 856, 540, 519, 5102, 2917, 2496, 5591, 267, 621, 3085, 1406, 269, 1403, 596, 1205, 7466, 607, 1454, 3196, 856, 1287, 596, 723, 547, 7485, 856, 7466, 607, 1454, 18052, 267, 855, 519, 2179, 540, 960, 630, 325, 1535, 546, 264, 1131, 711, 581, 1198, 539, 269, 1924, 875, 1223, 596, 1689, 519, 2179, 540, 960, 3812, 676, 519, 3684, 2496, 288, 3625, 543, 10994, 568, 513, 4999, 540, 6378, 543, 1940, 762, 5102, 18436, 563, 763, 631, 6993, 269, 568, 3160, 547, 519, 1297, 540, 18052, 12415, 5885, 519, 2597, 780, 1432, 568, 519, 7344, 5413, 540, 713, 3625, 1299, 10994, 2496, 288, 8868, 543, 4949, 548, 5161, 540, 476, 273, 1114, 21092, 14743, 799, 17967, 1927, 1472, 519, 1482, 7852, 780, 763, 7344, 5413, 540, 513, 8868, 543, 4949, 548, 568, 5462, 676, 12270, 519, 8953, 540, 519, 8868, 676, 519, 8953, 540, 519, 4949, 548, 269, 631, 6993, 269, 815, 27431, 1315, 17241, 692, 288, 10591, 568, 513, 8868, 609, 954, 24286, 4522, 799, 2061, 31868, 720, 780, 2304, 20916, 7077, 630, 1090, 335, 264, 568, 513, 1793, 5896, 2627, 1031, 547, 6318, 610, 2539, 3615, 563, 1103, 743, 1441, 14742, 616, 2356, 19335, 780, 288, 530, 8354, 568, 513, 1940, 762, 20916, 7077, 780, 1432, 1281, 8325, 2287, 513, 17180, 798, 547, 621, 779, 7344, 5413, 888, 3674, 513, 5857, 704, 1843, 2141, 2469, 547, 1685, 1732, 982, 513, 20585, 835, 2496, 288, 17684, 568, 606, 20916, 7077, 10138, 1472, 513, 12718, 780, 7617, 17684, 1131, 723, 519, 3152, 631, 6993, 269, 888, 7617, 1131, 581, 23698, 547, 5397, 883, 513, 3625, 540, 3574, 286, 6904, 1131, 2154, 811, 7140, 286, 589, 645, 692, 763, 4395, 838, 13702, 564, 593, 513, 11332, 814, 476, 273, 24039, 799, 957, 607, 4949, 956, 267, 1247, 519, 5858, 2813, 676, 519, 29465, 6411, 607, 519, 8868, 269, 634, 9018, 10591, 814, 513, 8953, 540, 476, 277, 6279, 543, 519, 4130, 6418, 835, 814, 513, 8953, 540, 476, 275, 6279, 269, 1403, 519, 29465, 4422, 538, 513, 5858, 609, 513, 8953, 540, 476, 1321, 6279, 267, 5173, 519, 7344, 5413, 3177, 676, 1142, 540, 519, 1114, 24039, 780, 1103, 519, 3105, 1383, 267, 799, 10591, 1131, 596, 1616, 547, 581, 538, 952, 596, 941, 7895, 2718, 909, 513, 14869, 14629, 286, 4208, 2496, 763, 561, 1872, 18133, 593, 513, 1804, 29746, 14903, 814, 513, 8953, 540, 476, 276, 4699, 267, 543, 3340, 513, 3196, 540, 476, 272, 267, 8517, 715, 547, 3138, 4923, 269, 700, 10154, 267, 2705, 267, 666, 1152, 3132, 476, 5611, 715, 540, 3196, 269, 1261, 6487, 602, 952, 646, 4991, 513, 1279, 2614, 530, 3402, 1287, 646, 666, 3132, 602, 1454, 3196, 269, 1215, 1279, 1131, 519, 530, 3402, 991, 547, 581, 2496, 10111, 331, 568, 7311, 476, 1220, 715, 540, 3196, 547, 7903, 513, 8868, 321, 5535, 909, 513, 19856, 454, 10111, 331, 568, 7311, 476, 1220, 715, 540, 3196, 547, 7903, 513, 8868, 321, 5535, 909, 513, 19856, 269, 1403, 519, 19856, 568, 476, 277, 544, 1279, 543, 2636, 1864, 547, 5066, 519, 8868, 321, 5535, 547, 513, 4463, 540, 476, 272, 269, 276, 544, 267, 1018, 568, 519, 7344, 5413, 540, 519, 19856, 286, 1215, 1454, 3196, 1131, 14161, 991, 547, 4019, 952, 646, 941, 711, 1210, 519, 19856, 2496, 1692, 1454, 3196, 1131, 10158, 23127, 991, 547, 4019, 538, 1931, 547, 12740, 513, 476, 23841, 715, 2597, 267, 1210, 519, 5102, 2917, 3254, 888, 1692, 1454, 18052, 1131, 646, 991, 547, 7485, 856, 538, 1931, 547, 6318, 519, 2597, 476, 275, 544, 2496, 8794, 519, 476, 274, 5102, 18436, 3254, 2630, 267, 875, 1454, 3196, 1131, 715, 539, 991, 547, 4019, 547, 1142, 547, 12740, 513, 476, 6110, 715, 2597, 286, 4208, 9327, 1406, 646, 1175, 2141, 946, 519, 835, 799, 3340, 519, 2547, 3196, 2496, 1103, 519, 6516, 2630, 267, 519, 20916, 7077, 568, 476, 276, 544, 1279, 543, 476, 273, 544, 1164, 454, 1103, 519, 6516, 2630, 267, 519, 20916, 7077, 568, 476, 276, 544, 1279, 543, 476, 273, 544, 1164, 269, 634, 8868, 543, 4949, 548, 723, 2234, 4512, 540, 476, 1839, 6279, 543, 476, 1015, 6279, 6606, 269, 1215, 1454, 3196, 1131, 581, 2838, 547, 1847, 519, 2597, 909, 519, 20916, 7077, 286, 630, 817, 2541, 1100, 11508, 264, 1215, 1454, 960, 568, 1373, 2944, 676, 519, 3684, 2496, 26469, 1031, 519, 14764, 593, 519, 1318, 630, 21406, 513, 18548, 684, 779, 17348, 264, 547, 12740, 5128, 909, 547, 513, 2362, 2990, 693, 1010, 4070, 3135, 269, 1548, 568, 4636, 609, 519, 1259, 6754, 814, 519, 11381, 1305, 909, 286, 1548, 1131, 991, 547, 581, 2944, 538, 1931, 585, 519, 14764, 547, 960, 5265, 2496, 24718, 543, 4334, 519, 5106, 540, 519, 476, 273, 5102, 18436, 3254, 1657, 630, 272, 16726, 543, 476, 272, 3017, 1916, 2252, 789, 5340, 519, 1482, 5106, 267, 1131, 789, 581, 3257, 519, 1482, 2179, 540, 960, 2496, 29209, 1216, 14743, 941, 1419, 1031, 538, 519, 2250, 547, 9585, 971, 4247, 607, 8860, 10286, 543, 5969, 29421, 538, 29421, 14200, 269, 17292, 835, 540, 891, 4247, 267, 543, 2721, 513, 2241, 6516, 6029, 875, 519, 5163, 540, 519, 1216, 1031, 2241, 6191, 547, 9585, 519, 4305, 780, 17556, 14781, 1846, 2838, 5458, 14743, 547, 3132, 519, 7344, 5413, 2556, 547, 2490, 519, 25229, 1457, 269, 1403, 519, 8868, 538, 519, 4605, 814, 513, 8006, 540, 476, 274, 544, 267, 543, 568, 7923, 547, 606, 4949, 548, 609, 513, 8006, 540, 1547, 276, 544, 267, 1018, 7344, 5413, 1131, 581, 3812, 286, 1403, 519, 12681, 10039, 476, 4335, 715, 540, 3196, 547, 3132, 835, 2347, 4838, 540, 519, 8868, 630, 1015, 544, 1070, 875, 1454, 3196, 729, 3812, 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 ]
[ 4343, 1547, 5400, 454, 269, 2537, 1547, 4029, 1547, 1724, 1547, 4029, 454, 275, 269, 16453, 1125, 519, 5119, 454, 628, 454, 276, 269, 30771, 676, 2921, 519, 552, 454, 12741, 540, 519, 5119, 454, 269, 1724, 1547, 6021, 1547, 1691, 1547, 6021, 454, 269, 4962, 1547, 6021, 1547, 6349, 1547, 6021, 454, 277, 269, 769, 4148, 622, 676, 2921, 10637, 540, 454, 269, 6860, 1547, 4905, 1547, 1691, 1547, 4905, 454, 1492, 4611, 5119, 609, 454, 269, 4962, 1547, 6021, 1547, 6349, 1547, 6021, 454, 12407, 2678, 678, 454, 278, 269, 19244, 3268, 476, 276, 543, 476, 277, 2394, 513, 454, 269, 5325, 1547, 3451, 1547, 3393, 1547, 3451, 454, 263, 935, 591, 10885, 1916, 269, 736, 1547, 3451, 1547, 4962, 1547, 3451, 454, 279, 269, 19873, 4611, 5119, 547, 1547, 1724, 1547, 6349, 1547, 3393, 1547, 6349, 454, 269, 736, 1547, 3451, 1547, 4962, 1547, 3451, 454, 4134, 16225, 13421, 8160, 12710, 23990, 454, 272, 476, 273, 454, 272, 269, 18452, 568, 606, 796, 30928, 454, 20175, 540, 476, 273, 454, 23054, 267, 1379, 9936, 552, 2676, 14813, 3175, 540, 476, 273, 454, 663, 10637, 9936, 678, 563, 274, 476, 275, 454, 273, 269, 8073, 519, 2404, 454, 9795, 454, 269, 3583, 1547, 3451, 1547, 5392, 1547, 3451, 454, 274, 269, 5410, 1582, 17787, 547, 1142, 6843, 454, 269, 1321, 1547, 3451, 1547, 4905, 1547, 3451, 454, 263, 28436, 994, 269, 4962, 1547, 6349, 1547, 5392, 4534, 454, 275, 269, 16453, 1125, 519, 5119, 454, 269, 1321, 1547, 3451, 1547, 4905, 1547, 3451, 454, 628, 454, 276, 269, 30771, 676, 2921, 519, 552, 454, 12741, 540, 519, 5119, 454, 269, 11463, 1547, 3451, 1547, 2004, 1547, 3451, 454, 277, 269, 769, 4148, 622, 676, 2921, 10637, 540, 454, 269, 6734, 1547, 3451, 4534, 1547, 3451, 454, 1492, 4611, 5119, 609, 454, 269, 4905, 4534, 1547, 2004, 4534, 454, 12407, 2678, 678, 454, 269, 1724, 1547, 3451, 4534, 1547, 3451, 454, 278, 269, 19244, 3268, 476, 276, 543, 476, 277, 2394, 513, 454, 272, 1547, 3451, 1547, 2004, 1547, 3451, 454, 263, 935, 591, 10885, 1916, 734, 1547, 3451, 4534, 1547, 3451, 454, 279, 269, 19873, 4611, 5119, 547, 4534, 4534, 1547, 2004, 4534, 454, 734, 1547, 3451, 4534, 1547, 3451, 454, 4134, 16225, 13421, 8160, 12710, 23990, 454, 272, 476, 273, 454, 272, 269, 18452, 568, 606, 796, 30928, 454, 20175, 540, 476, 273, 454, 23054, 267, 1379, 9936, 552, 2676, 14813, 3175, 540, 476, 273, 454, 663, 10637, 9936, 678, 563, 274, 476, 275, 454, 273, 269, 8073, 519, 2404, 454, 9795, 454, 274, 269, 5410, 1582, 17787, 547, 1142, 6843, 454, 263, 28436, 994, 275, 269, 16453, 1125, 519, 5119, 454, 22091, 663, 593, 538, 454, 628, 454, 276, 269, 30771, 676, 2921, 519, 552, 454, 3286, 513, 8792, 563, 12741, 540, 519, 5119, 454, 277, 269, 769, 4148, 622, 676, 2921, 10637, 540, 454, 1492, 4611, 5119, 609, 454, 12407, 2678, 678, 454, 278, 269, 19244, 3268, 476, 276, 543, 476, 277, 2394, 513, 454, 263, 935, 591, 10885, 1916, 279, 269, 19873, 4611, 5119, 547, 454, 4134, 16225, 13421, 8160, 12710, 23990, 20593, 10885, 454, 445, 3502, 6654, 602, 1267, 786, 27721, 269, 20593, 10885, 454, 529, 711, 8810, 538, 519, 5098, 267, 2705, 621, 568, 3254, 454, 23024, 2939, 958, 602, 621, 1419, 1281, 2049, 563, 445, 769, 2259, 267, 519, 5690, 4780, 2471, 5176, 2141, 547, 454, 320, 834, 323, 12874, 569, 7329, 11391, 582, 550, 257, 5119, 912, 273, 269, 5272, 1871, 538, 513, 2582, 6241, 814, 519, 1482, 1297, 454, 22607, 558, 15119, 1040, 10157, 299, 23990, 20593, 10885, 454, 445, 898, 568, 8810, 602, 950, 519, 5119, 568, 538, 519, 454, 31371, 4011, 3125, 540, 1373, 6065, 569, 7329, 11391, 582, 550, 267, 621, 454, 445, 1717, 267, 519, 3803, 11931, 1533, 949, 3006, 581, 454, 7094, 545, 543, 2874, 540, 513, 18110, 3126, 540, 14290, 563, 1700, 769, 1978, 2665, 267, 519, 7269, 543, 10637, 957, 607, 538, 951, 525, 454, 1993, 1142, 824, 269, 1717, 267, 513, 13581, 1689, 540, 6724, 543, 454, 1492, 11466, 568, 7745, 563, 1700, 9453, 1582, 17787, 267, 621, 779, 2009, 593, 536, 760, 691, 924, 11708, 1317, 454, 1993, 9642, 2619, 13080, 269, 17006, 1582, 17787, 543, 5594, 4657, 454, 12407, 4394, 4368, 525, 1034, 540, 519, 2042, 563, 1700, 4033, 11708, 602, 949, 723, 13350, 2623, 616, 4330, 2676, 8117, 786, 1034, 2693, 581, 834, 320, 7279, 15877, 12440, 2497, 454, 1415, 6011, 2668, 10157, 299, 23990, 20593, 10885, 10157, 299, 23990, 20593, 10885, 10157, 299, 23990, 20593, 10885, 454, 10157, 299, 1323, 13846, 10157, 299, 3955, 31147, 1849, 31255, 454, 445, 1677, 4612, 13421, 267, 519, 14622, 616, 8237, 883, 1079, 454, 18196, 269, 5900, 847, 832, 267, 799, 4482, 824, 14622, 267, 543, 454, 3200, 1182, 602, 616, 1373, 13631, 676, 519, 4482, 832, 563, 445, 5900, 847, 832, 723, 693, 2547, 835, 2318, 2095, 1871, 1369, 454, 26132, 7222, 4737, 630, 514, 519, 11931, 1533, 5119, 1916, 445, 3962, 4482, 528, 568, 19788, 519, 14622, 799, 723, 454, 27168, 2418, 1369, 922, 4737, 8160, 12710, 3955, 31147, 1849, 31255, 454, 445, 5900, 847, 832, 543, 519, 2609, 789, 4482, 616, 25626, 454, 339, 6320, 883, 519, 1482, 12440, 563, 445, 769, 713, 2013, 267, 2715, 272, 267, 476, 277, 267, 476, 278, 267, 476, 1015, 9574, 2715, 273, 267, 476, 274, 267, 476, 276, 9574, 2715, 275, 267, 476, 279, 267, 476, 280, 267, 476, 1556, 267, 476, 1321, 348, 10157, 299, 3955, 31147, 1849, 31255, 454, 445, 769, 2489, 267, 20718, 13421, 630, 3602, 835, 6843, 568, 454, 935, 22633, 538, 2789, 13421, 264, 616, 1152, 1336, 538, 1360, 454, 338, 2133, 2665, 540, 3113, 15340, 912, 1700, 8307, 950, 513, 14584, 568, 13631, 4010, 8449, 676, 811, 982, 454, 821, 12440, 454, 1700, 901, 4386, 1152, 950, 1312, 13421, 616, 568, 25806, 454, 272, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 278, 10157, 299, 1849, 31255, 454, 445, 634, 10637, 9936, 5540, 12440, 30704, 640, 454, 5416, 568, 519, 2597, 585, 3773, 1582, 17787, 264, 10157, 299, 1849, 31255, 454, 445, 1280, 13421, 609, 1804, 8006, 267, 631, 12710, 814, 2042, 454, 445, 20518, 5024, 2095, 2066, 12440, 2115, 1279, 7269, 543, 1970, 454, 8882, 3175, 630, 1278, 3772, 519, 12440, 786, 8237, 1916, 445, 570, 1389, 1082, 23200, 543, 3123, 631, 12710, 547, 581, 6213, 547, 1507, 454, 13630, 7875, 725, 538, 519, 3113, 563, 1700, 634, 1840, 540, 1507, 8006, 13421, 14907, 2125, 519, 454, 743, 755, 1359, 267, 2094, 519, 1970, 10637, 9936, 786, 2014, 873, 454, 1729, 25409, 2048, 514, 4148, 622, 685, 4478, 17831, 269, 26046, 540, 631, 12710, 454, 274, 454, 445, 744, 18217, 16532, 1141, 715, 568, 519, 1297, 540, 14622, 563, 274, 454, 1700, 715, 1942, 540, 835, 5119, 8691, 593, 1079, 14290, 540, 454, 323, 574, 3290, 715, 563, 273, 454, 1700, 5606, 3175, 666, 581, 2944, 538, 744, 18217, 3738, 942, 454, 1700, 634, 1297, 540, 3268, 547, 27721, 568, 711, 8810, 267, 855, 454, 23024, 2939, 958, 3254, 547, 581, 9625, 1015, 547, 476, 1911, 3268, 267, 543, 6140, 454, 4621, 626, 540, 23661, 14290, 1310, 519, 1101, 1906, 3268, 563, 445, 17726, 949, 581, 4824, 998, 18309, 563, 1700, 28018, 5119, 543, 1305, 1507, 2418, 2047, 547, 4642, 630, 817, 2541, 454, 16269, 1131, 723, 6603, 972, 5555, 1022, 1811, 1916, 1700, 3718, 1134, 950, 519, 8006, 540, 519, 13421, 568, 1507, 269, 630, 15239, 8894, 327, 558, 15119, 14778, 540, 2597, 264, 26046, 540, 631, 12710, 454, 445, 769, 476, 1220, 277, 267, 631, 12710, 535, 1563, 1134, 538, 513, 1957, 9236, 621, 547, 454, 22764, 824, 24159, 2553, 454, 1700, 7935, 31649, 590, 267, 8709, 4477, 6577, 808, 630, 1220, 277, 264, 16214, 540, 24159, 454, 14607, 3596, 916, 585, 3940, 1700, 2889, 12888, 5872, 5121, 563, 289, 10157, 27807, 514, 26197, 476, 278, 281, 476, 4366, 279, 454, 1700, 631, 12710, 5288, 269, 10163, 24071, 27199, 4011, 3125, 9612, 1849, 755, 1359, 454, 27562, 10064, 290, 264, 5288, 269, 8111, 20368, 8568, 1849, 755, 1359, 630, 9915, 290, 264, 5288, 563, 300, 12817, 13216, 24544, 630, 300, 4596, 14701, 264, 5811, 540, 631, 12710, 454, 10376, 7455, 4564, 519, 1871, 454, 1993, 6111, 630, 3847, 8440, 264, 610, 454, 29323, 566, 630, 2431, 8440, 1916, 10490, 5174, 264, 6316, 1840, 547, 519, 1449, 454, 23054, 269, 630, 290, 5937, 264, 8728, 8851, 454, 5228, 519, 1449, 3113, 269, 630, 292, 6363, 264, 22750, 454, 8145, 15772, 689, 606, 12012, 3113, 454, 534, 12012, 1449, 3113, 609, 476, 2412, 14999, 1993, 14477, 6569, 8728, 563, 21760, 3009, 281, 4544, 2433, 631, 12710, 267, 2699, 10778, 305, 10064, 290, 267, 10538, 2433, 631, 4596, 14701, 2676, 13582, 2433, 9501, 290, 269, 29961, 1540, 3515, 1397, 454, 1492, 2164, 5833, 676, 454, 11279, 5024, 519, 13421, 630, 17463, 454, 31553, 1040, 631, 12710, 22702, 547, 681, 305, 310, 454, 445, 18948, 547, 15901, 730, 15932, 9546, 802, 630, 305, 305, 310, 994, 1700, 681, 305, 310, 568, 1776, 8641, 1849, 755, 1359, 6396, 563, 1892, 5272, 12440, 630, 10175, 13591, 13421, 264, 568, 6740, 563, 1892, 1849, 31255, 602, 16937, 811, 982, 513, 12939, 616, 2663, 454, 4818, 1563, 267, 543, 2539, 20823, 13421, 6569, 8160, 12710, 22702, 547, 681, 305, 310, 454, 445, 681, 305, 310, 1849, 13831, 533, 17032, 19406, 912, 3602, 562, 568, 519, 1297, 540, 14622, 538, 519, 12440, 267, 543, 454, 16557, 568, 519, 3328, 4351, 3802, 3845, 1063, 454, 333, 3941, 538, 519, 12440, 563, 269, 272, 454, 269, 274, 454, 263, 269, 272, 266, 269, 274, 266, 269, 272, 266, 269, 272, 266, 269, 274, 266, 269, 274, 994, 269, 272, 454, 269, 274, 454, 16557, 815, 476, 277, 815, 1547, 273, 454, 269, 272, 1547, 274, 454, 335, 17032, 815, 476, 272, 1107, 30285, 273, 2608, 20734, 476, 274, 3738, 815, 476, 271, 269, 4792, 274, 10157, 299, 22702, 547, 681, 305, 310, 454, 445, 631, 12710, 267, 681, 305, 310, 267, 543, 513, 14255, 25771, 557, 14282, 7023, 1935, 454, 26200, 2196, 593, 513, 6211, 3940, 3060, 585, 13803, 454, 272, 454, 263, 310, 296, 6261, 26980, 16532, 607, 1134, 607, 968, 7224, 19192, 892, 8747, 540, 519, 3060, 454, 445, 26287, 1231, 609, 519, 1482, 6211, 1599, 1058, 581, 454, 743, 755, 1229, 1927, 454, 445, 634, 4611, 13421, 941, 3379, 547, 1634, 454, 2889, 12888, 1895, 902, 563, 272, 454, 298, 22044, 518, 700, 267, 22728, 590, 267, 772, 27889, 532, 631, 267, 595, 525, 13873, 328, 717, 281, 654, 296, 6261, 26980, 281, 589, 22051, 13803, 454, 5793, 716, 727, 23353, 585, 1463, 2168, 4205, 269, 26287, 15299, 476, 1220, 278, 2676, 278, 281, 280, 3953, 1700, 280, 6246, 8160, 12710, 22702, 547, 681, 305, 310, 454, 30182, 12440, 2450, 281, 681, 305, 310, 815, 476, 277, 267, 631, 12710, 815, 476, 1321, 267, 10878, 25771, 557, 815, 476, 280, 26046, 540, 631, 12710, 454, 445, 2480, 2297, 1134, 609, 2810, 3113, 2450, 563, 445, 3718, 609, 1312, 22051, 543, 796, 7076, 539, 11708, 563, 445, 21277, 806, 1434, 24159, 2164, 563, 445, 7605, 755, 1996, 6846, 538, 3113, 1239, 454, 445, 7089, 540, 13421, 711, 9138, 6619, 540, 942, 267, 855, 454, 4754, 4188, 12440, 30704, 640, 609, 6724, 563, 445, 2052, 2254, 1265, 20718, 13421, 630, 514, 2489, 994, 445, 3502, 5078, 585, 13421, 609, 1804, 8006, 269, 11289, 1411, 2336, 12179, 5999, 286, 0, 1892, 476, 271, 966, 1774, 4433, 264, 910, 476, 271, 19105, 454, 1892, 476, 272, 454, 1892, 476, 273, 454, 1892, 476, 274, 454, 1892, 476, 275, 454, 1892, 476, 276, 454, 4937, 1242, 25276, 12427, 6519, 30893, 2135, 28133, 29533, 24762, 281, 476, 274, 27387, 338, 281, 476, 272, 11835, 1441, 281, 8734, 476, 1220, 278, 476, 1321, 270, 4905, 270, 1220, 278, 267, 476, 6860, 281, 6795, 7537, 630, 1607, 2022, 729, 2063, 9168, 281, 476, 1321, 270, 4905, 270, 1220, 278, 267, 476, 6860, 281, 5392, 6751, 676, 6519, 30893, 2135, 4700, 15346, 269, 2334, 12651, 1776, 2243, 269, 2913, 1535, 284, 271, 543, 586, 284, 8882, 6541, 269, 3973, 649, 723, 513, 681, 3287, 264, 536, 815, 513, 681, 12169, 264, 536, 269, 6904, 1535, 781, 723, 586, 781, 971, 602, 513, 681, 3287 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2629, 1909, 538, 11121, 2038, 8706, 1235, 269, 2920, 643, 1235, 971, 607, 5975, 1399, 17054, 534, 16668, 4296, 1063, 10168, 543, 3023, 1143, 267, 19163, 602, 1312, 941, 12082, 538, 11528, 15746, 630, 293, 3072, 534, 267, 476, 3422, 274, 1040, 5015, 267, 519, 4831, 322, 11857, 5322, 540, 519, 476, 3422, 271, 338, 13934, 6671, 7326, 2066, 1585, 3344, 540, 1977, 1272, 267, 2870, 2230, 585, 15819, 3964, 4008, 5107, 780, 23742, 332, 5811, 692, 2414, 9414, 891, 13346, 5380, 593, 4008, 267, 1577, 721, 2490, 938, 3007, 547, 1896, 8037, 8874, 689, 713, 1974, 1384, 272, 269, 2608, 5472, 6168, 18832, 265, 630, 4198, 271, 2567, 6034, 539, 676, 9478, 700, 269, 631, 1678, 1171, 545, 345, 267, 713, 5929, 12416, 7710, 20440, 267, 21239, 267, 543, 4775, 31195, 538, 519, 1158, 540, 14364, 269, 2755, 519, 4670, 6038, 25040, 2757, 18765, 540, 8706, 6541, 267, 621, 3091, 513, 1950, 24575, 540, 2021, 10188, 3318, 1967, 8015, 2123, 15093, 780, 13420, 566, 281, 21058, 19264, 819, 1341, 9608, 15762, 337, 12715, 815, 12465, 12339, 514, 6541, 2496, 273, 269, 2608, 763, 7442, 3477, 265, 630, 3422, 271, 2567, 25381, 8187, 518, 781, 11509, 18792, 25856, 1472, 595, 5861, 269, 645, 1314, 614, 267, 606, 6142, 804, 17064, 945, 561, 1742, 1010, 19887, 547, 2754, 26933, 585, 970, 1090, 541, 1388, 12602, 269, 9282, 5097, 5059, 593, 5256, 23233, 267, 519, 4670, 2934, 1744, 597, 2917, 5839, 299, 12578, 607, 17012, 918, 889, 601, 1731, 267, 513, 4807, 16290, 538, 513, 6757, 2078, 609, 1200, 20148, 269, 4173, 22638, 16882, 6786, 513, 11029, 6521, 2509, 811, 7682, 633, 11269, 540, 2021, 780, 13420, 566, 281, 24768, 20556, 1341, 25085, 618, 815, 5345, 6295, 13834, 18868, 2496, 274, 269, 2608, 2704, 325, 773, 265, 630, 3422, 277, 2567, 853, 18732, 7812, 595, 12578, 267, 713, 3703, 1104, 5205, 1325, 325, 773, 4432, 9469, 267, 513, 23406, 855, 3352, 22529, 1043, 21031, 262, 812, 945, 9356, 593, 1010, 3875, 4638, 9518, 3949, 269, 10615, 11066, 31408, 3096, 5639, 1478, 32538, 547, 16616, 1325, 325, 773, 781, 1843, 4328, 5133, 593, 2021, 267, 20872, 13588, 547, 2243, 1010, 2623, 543, 556, 29264, 6848, 10054, 827, 5256, 1303, 1856, 618, 780, 13420, 566, 281, 22503, 9980, 1856, 618, 1341, 8682, 7304, 1030, 3005, 815, 5668, 27701, 16549, 1529, 6541, 2496, 275, 269, 2608, 19878, 807, 265, 630, 3192, 278, 2567, 9122, 593, 700, 650, 1014, 18774, 2006, 781, 17728, 267, 12049, 2098, 4883, 655, 2335, 781, 12416, 12225, 2873, 519, 11505, 1063, 5856, 700, 650, 1014, 543, 1200, 6689, 3659, 27813, 267, 606, 4550, 9539, 21532, 4187, 25142, 269, 13191, 674, 25352, 20205, 513, 3532, 2773, 607, 700, 650, 1014, 267, 18220, 532, 4222, 267, 4987, 267, 543, 8990, 1107, 7907, 1419, 2404, 609, 6932, 16431, 540, 22158, 780, 13420, 566, 281, 14886, 1222, 1341, 23848, 815, 7073, 12339, 514, 6541, 2496, 6962, 692, 9961, 713, 3184, 267, 649, 723, 8268, 519, 15491, 2470, 540, 4008, 6041, 538, 2022, 8705, 1977, 21576, 269, 3245, 519, 1350, 600, 537, 9317, 2943, 16876, 1158, 540, 2608, 5472, 6168, 18832, 265, 547, 519, 796, 777, 860, 2045, 1219, 4800, 540, 2608, 19878, 807, 24682, 891, 8874, 6542, 519, 9687, 11407, 4478, 3023, 543, 4008, 1282, 713, 942, 1974, 269, 1635, 9691, 7421, 891, 1568, 267, 649, 2744, 3407, 4030, 883, 519, 5571, 6560, 585, 7862, 543, 1582, 24148, 602, 5170, 547, 3337, 4207, 5717, 1472, 22158, 543, 3961, 6214, 780, 27066, 1384, 293, 3072, 534, 267, 5975, 1399, 269, 2608, 763, 12339, 24100, 3733, 560, 1664, 29688, 654, 15030, 269, 17368, 517, 1299, 7577, 267, 476, 3422, 274, 780, 9802, 267, 4432, 12578, 14977, 2401, 269, 2608, 12709, 1189, 21940, 281, 1977, 19198, 538, 519, 12019, 2782, 16527, 29688, 9978, 7734, 267, 476, 2735, 279, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 13563, 3778, 538, 17912, 4595, 2622, 2782, 26270, 257, 5497, 585, 1164, 1153, 1053, 563, 2171, 723, 2907, 4988, 3184, 4433, 264, 834, 272, 269, 4985, 2580, 834, 273, 269, 5062, 10111, 20321, 1143, 543, 519, 12019, 2782, 2580, 834, 274, 269, 23532, 640, 543, 7292, 3961, 257, 543, 616, 1631, 1603, 513, 3184, 593, 834, 275, 269, 21744, 3023, 543, 4008, 3347, 8487, 2791, 786, 581, 1603, 519, 1101, 1016, 15492, 585, 713, 3184, 563, 2237, 519, 1007, 1016, 15492, 11331, 834, 275, 269, 272, 269, 634, 6468, 781, 8644, 3130, 11873, 257, 1247, 3843, 547, 581, 912, 268, 21004, 910, 596, 1711, 4101, 9499, 602, 3382, 519, 1570, 538, 3178, 563, 268, 12056, 910, 707, 9499, 723, 513, 2239, 9095, 543, 2502, 3159, 267, 899, 519, 1603, 540, 7812, 11066, 563, 268, 11930, 910, 596, 946, 1808, 543, 4052, 1806, 269, 1280, 1383, 267, 952, 519, 1888, 568, 5610, 538, 11810, 267, 1331, 4834, 543, 15997, 540, 519, 1523, 596, 2811, 3450, 269, 1306, 1776, 1383, 267, 952, 519, 1888, 568, 519, 1686, 540, 519, 2136, 2276, 267, 1331, 7389, 267, 4408, 267, 543, 1883, 2621, 563, 8196, 1893, 543, 1806, 602, 1131, 9305, 609, 18295, 1053, 13326, 3872, 22759, 609, 10333, 269, 634, 3804, 568, 547, 1118, 519, 1888, 3839, 543, 1187, 267, 26354, 7279, 827, 875, 621, 10039, 547, 4948, 1272, 269, 0, 6092, 5149, 281, 4197, 667, 2570, 1890, 543, 13363, 633, 18619, 543, 661, 6363, 4979, 692, 8893, 476, 272, 281, 1548, 3657, 667, 2570, 1890, 543, 13363, 633, 18619, 2496, 5331, 952, 2576, 596, 2648, 267, 899, 707, 2370, 7015, 610, 11078, 267, 3884, 1405, 1373, 3144, 1416, 540, 5265, 269, 9320, 789, 2811, 711, 3478, 2614, 1426, 267, 9660, 267, 610, 3007, 693, 1753, 269, 1879, 1945, 899, 713, 4523, 267, 972, 781, 513, 2027, 1184, 1572, 834, 323, 2570, 1890, 18659, 257, 547, 948, 1832, 873, 2922, 269, 901, 1797, 602, 513, 9794, 786, 1413, 883, 519, 3510, 543, 6430, 1018, 781, 1655, 585, 519, 1126, 269, 6884, 267, 519, 1126, 1522, 1256, 1847, 547, 513, 1007, 1753, 1141, 789, 666, 1205, 519, 1416, 789, 991, 780, 3086, 267, 4952, 1776, 9183, 269, 1323, 4587, 1268, 538, 707, 1920, 6238, 2348, 8373, 2921, 1416, 540, 2933, 269, 12344, 789, 7340, 547, 1491, 741, 4915, 610, 6560, 609, 3232, 4247, 269, 1703, 781, 1776, 2186, 540, 23312, 1572, 834, 23181, 633, 18659, 257, 799, 6663, 547, 2149, 4079, 945, 3112, 1491, 1416, 540, 2933, 15042, 269, 5381, 547, 21341, 18659, 267, 513, 9794, 786, 1900, 538, 543, 1265, 519, 1655, 3070, 547, 2327, 741, 3106, 543, 8171, 780, 8893, 476, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 291, 2570, 1890, 543, 13363, 633, 18619, 454, 290, 22620, 17583, 585, 552, 325, 4979, 454, 26469, 543, 26701, 344, 18897, 660, 517, 543, 519, 2319, 693, 7345, 9351, 454, 17572, 2337, 8115, 519, 7934, 538, 513, 13321, 3656, 5251, 676, 8744, 596, 519, 1655, 540, 2029, 267, 1247, 1869, 522, 23807, 478, 1359, 2123, 267, 2168, 4296, 547, 519, 5480, 269, 6787, 596, 616, 3168, 547, 946, 938, 552, 16667, 548, 1062, 543, 10505, 707, 19509, 1782, 3054, 610, 8415, 938, 598, 857, 10235, 2533, 543, 1577, 721, 798, 782, 519, 960, 267, 649, 723, 621, 782, 2139, 585, 596, 2228, 563, 7197, 540, 519, 803, 8615, 3549, 723, 8854, 4625, 5691, 543, 1810, 1406, 723, 522, 23807, 481, 806, 2066, 519, 8265, 689, 519, 1330, 628, 1787, 267, 899, 649, 798, 269, 1358, 723, 519, 2029, 267, 855, 741, 3028, 568, 15877, 269, 1284, 723, 606, 522, 23807, 481, 576, 1985, 547, 519, 2552, 571, 22728, 32493, 7040, 543, 519, 1325, 3139, 320, 6019, 32493, 7040, 269, 1284, 616, 4278, 2683, 547, 522, 23807, 478, 518, 596, 4359, 2228, 19509, 1782, 2029, 6730, 519, 2182, 3562, 268, 16667, 526, 3028, 602, 3032, 619, 547, 707, 1367, 1870, 2115, 563, 1708, 273, 21398, 19181, 5508, 14192, 3918, 6311, 27633, 454, 292, 4459, 320, 21025, 28225, 6424, 8210, 321, 454, 15031, 4314, 320, 16026, 13100, 3205, 454, 297, 517, 11936, 10557, 6833, 787, 15182, 328, 30621, 3026, 9109, 454, 28347, 2398, 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, 1262, 2419, 4474, 2659, 13334, 10426, 5320, 1879, 1411, 4312, 1280, 326, 13516, 898, 281, 589, 5153, 8386, 28157, 6651, 4373, 2171, 2811, 9599, 547, 948, 596, 6330, 713, 14542, 4541, 1572, 3047, 269, 2290, 540, 519, 1898, 2645, 596, 3513, 991, 547, 2263, 568, 1945, 1572, 519, 4950, 267, 799, 2636, 3425, 547, 1569, 5318, 5666, 540, 1344, 689, 9170, 609, 513, 2027, 3926, 1572, 513, 2780, 610, 16335, 780, 1103, 713, 5850, 267, 649, 3513, 3391, 596, 998, 4657, 707, 13334, 10957, 950, 596, 666, 1405, 3314, 621, 269, 5213, 1405, 5855, 952, 891, 1913, 3280, 899, 575, 756, 828, 880, 1107, 649, 3513, 2491, 3388, 538, 1469, 2439, 1262, 1432, 568, 13334, 286, 12533, 2791, 12564, 568, 513, 2442, 3760, 1141, 3425, 2671, 7044, 630, 332, 8221, 5961, 264, 609, 1866, 2066, 519, 8608, 269, 6056, 540, 621, 607, 513, 9649, 5399, 4904, 609, 6634, 540, 3001, 2592, 602, 7038, 267, 13599, 267, 543, 8300, 1004, 780, 1262, 3963, 798, 594, 991, 513, 10957, 286, 12533, 288, 10957, 568, 513, 5728, 3009, 1031, 547, 2149, 707, 2123, 2272, 593, 7270, 899, 13334, 269, 5994, 707, 2272, 568, 513, 14951, 9221, 4904, 609, 10475, 3688, 282, 519, 10957, 568, 519, 4999, 9376, 602, 8952, 18977, 2043, 689, 17034, 922, 9115, 780, 1262, 27609, 566, 4373, 6524, 649, 2253, 267, 1118, 2386, 596, 723, 1384, 272, 269, 2878, 16966, 547, 513, 7384, 3926, 4995, 4855, 513, 14328, 1843, 609, 513, 30437, 5496, 267, 2356, 5116, 593, 513, 3349, 610, 4371, 538, 835, 781, 1688, 269, 901, 568, 2901, 513, 2780, 610, 16335, 563, 273, 269, 2878, 25542, 4276, 4995, 3550, 519, 3926, 568, 4448, 547, 519, 4950, 676, 10992, 952, 972, 616, 1022, 6698, 20465, 610, 8279, 10834, 14479, 563, 274, 269, 2878, 21995, 1620, 540, 17511, 4995, 25800, 3054, 609, 1210, 519, 13691, 630, 320, 6366, 8470, 609, 16181, 264, 547, 3403, 1257, 269, 1403, 2877, 267, 2259, 17511, 2241, 5220, 1354, 23312, 780, 1262, 3721, 476, 272, 281, 7046, 13334, 4373, 299, 11229, 519, 13334, 3498, 593, 707, 3926, 1384, 265, 2201, 5904, 281, 8437, 519, 10856, 24072, 630, 320, 1507, 15561, 11057, 12835, 264, 593, 519, 18376, 24069, 2394, 596, 1265, 519, 13334, 20446, 630, 1040, 17677, 26487, 593, 621, 547, 1930, 563, 265, 2201, 16389, 281, 24135, 519, 13334, 813, 12835, 20465, 2899, 547, 10131, 780, 763, 13334, 3896, 786, 4452, 267, 18071, 1585, 7044, 543, 3681, 780, 1262, 3721, 476, 273, 281, 7457, 10055, 23994, 4373, 8340, 519, 9043, 4605, 610, 1285, 20345, 630, 17141, 4092, 693, 519, 1283, 1318, 7944, 540, 519, 5496, 1040, 8844, 519, 10856, 24072, 936, 621, 610, 7148, 593, 621, 609, 707, 9416, 547, 7866, 513, 6749, 6658, 10624, 780, 12812, 610, 7148, 593, 834, 1262, 306, 9116, 902, 1262, 257, 630, 1070, 6719, 676, 513, 10591, 12835, 269, 901, 786, 1491, 596, 547, 519, 10055, 5468, 2985, 780, 1262, 3721, 476, 274, 281, 8564, 1280, 326, 582, 10426, 5320, 26840, 4373, 4002, 519, 10055, 5468, 2985, 267, 12398, 519, 3296, 13042, 834, 1262, 14294, 538, 1299, 3354, 1262, 2668, 10738, 713, 1858, 267, 4945, 610, 7148, 593, 834, 1262, 2690, 326, 582, 10957, 1262, 6231, 2791, 1522, 581, 4280, 547, 4283, 707, 4757, 2232, 2404, 609, 707, 13334, 2272, 269, 7392, 621, 5402, 883, 519, 3177, 2361, 1210, 519, 13691, 269, 5457, 267, 713, 568, 519, 1482, 4757, 2232, 596, 946, 547, 4309, 6835, 689, 2828, 267, 1920, 267, 610, 2228, 2533, 780, 1262, 3721, 476, 275, 281, 25547, 633, 18401, 19478, 4373, 5475, 10024, 707, 4757, 2232, 267, 4945, 610, 7148, 593, 834, 1262, 9202, 1262, 2668, 13334, 786, 6494, 513, 6051, 4757, 547, 519, 9138, 2232, 269, 27016 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 885, 666, 1831, 811, 1216, 23949, 8817, 998, 2749, 4058, 269, 12650, 1005, 7088, 1216, 2196, 11325, 543, 9657, 18513, 1216, 585, 12555, 946, 4422, 513, 1279, 1259, 538, 15198, 513, 3908, 4199, 269, 1656, 267, 15454, 4248, 1949, 666, 581, 1031, 538, 519, 1753, 547, 948, 2569, 875, 1454, 513, 7622, 27499, 267, 543, 22939, 593, 1216, 563, 13425, 856, 713, 3381, 540, 513, 1900, 8386, 9912, 4663, 540, 875, 547, 1118, 513, 2922, 267, 8733, 543, 3656, 28180, 1753, 12457, 4248, 1062, 912, 314, 344, 19834, 5291, 2517, 4178, 28938, 2593, 23218, 18025, 13696, 11985, 310, 336, 275, 292, 17395, 261, 25632, 284, 523, 318, 4785, 261, 12028, 284, 272, 4228, 284, 272, 316, 11045, 2211, 531, 1216, 2959, 454, 6624, 2127, 723, 824, 3681, 585, 1216, 982, 15780, 602, 5749, 1405, 4628, 8246, 269, 14175, 4248, 16276, 568, 513, 2462, 835, 269, 20079, 543, 2043, 666, 2015, 4264, 2081, 547, 7556, 543, 4558, 24467, 585, 3232, 946, 269, 898, 666, 3533, 1831, 513, 11786, 1641, 267, 607, 1216, 2924, 543, 5222, 593, 14498, 2097, 883, 1404, 269, 1809, 1134, 268, 2288, 339, 13050, 4566, 585, 24467, 16276, 568, 513, 4052, 3070, 547, 513, 10296, 1966, 563, 5327, 531, 1588, 267, 610, 7432, 26869, 883, 4235, 762, 1216, 267, 568, 1776, 11786, 4781, 602, 267, 952, 1134, 9709, 267, 666, 581, 513, 4264, 7110, 547, 15780, 7727, 269, 2290, 1507, 2146, 538, 4993, 1336, 2933, 4881, 856, 540, 1569, 547, 15780, 543, 23125, 856, 513, 5266, 4264, 1259, 547, 7110, 7727, 609, 513, 964, 531, 1588, 2030, 269, 18169, 899, 713, 1058, 581, 2808, 2063, 759, 2176, 2094, 789, 666, 581, 607, 678, 1057, 609, 2042, 607, 5599, 15780, 563, 7021, 782, 267, 556, 628, 9722, 875, 649, 946, 1216, 585, 3232, 1272, 4534, 689, 1426, 2504, 547, 4683, 4058, 4534, 568, 519, 1034, 1271, 1259, 649, 666, 2149, 15780, 7727, 543, 2327, 2104, 5481, 723, 1569, 547, 4195, 267, 2973, 1216, 269, 0, 295, 3266, 514, 4039, 8985, 1923, 15552, 514, 4039, 8985, 26162, 267, 20050, 267, 1299, 10803, 454, 295, 3266, 514, 568, 606, 23776, 3075, 602, 666, 2014, 552, 25045, 18319, 630, 842, 1619, 7772, 1070, 543, 1082, 1004, 945, 946, 621, 1020, 5869, 514, 8213, 269, 4746, 1572, 6219, 946, 4524, 630, 306, 11070, 1070, 8213, 568, 513, 3978, 2068, 602, 2306, 596, 1745, 8572, 547, 1852, 707, 3075, 946, 563, 11754, 1112, 539, 2043, 666, 1265, 6051, 538, 1585, 5869, 514, 8213, 2126, 3292, 269, 1717, 267, 1310, 11264, 2126, 267, 930, 1004, 26739, 630, 11034, 1210, 519, 3075, 1586, 1040, 1403, 596, 610, 513, 6068, 835, 9620, 609, 5869, 514, 946, 267, 621, 779, 1271, 547, 1451, 827, 26739, 543, 26739, 6604, 563, 295, 3266, 514, 4039, 8985, 26162, 454, 2690, 1082, 1004, 267, 26739, 568, 513, 3339, 851, 540, 6051, 269, 4340, 547, 519, 2817, 4659, 593, 10684, 18816, 267, 476, 2412, 547, 476, 2568, 2600, 540, 1004, 609, 3075, 1039, 11881, 267, 1519, 5869, 514, 8213, 267, 26739, 563, 2791, 949, 3068, 513, 2362, 1981, 540, 5869, 514, 26739, 952, 596, 912, 268, 3668, 1697, 1489, 454, 268, 1995, 513, 17173, 2680, 267, 971, 607, 519, 2530, 540, 513, 6068, 835, 454, 268, 7985, 689, 2790, 1072, 2042, 454, 268, 7237, 1004, 267, 4025, 267, 610, 3871, 602, 7618, 596, 540, 707, 2250, 5869, 514, 946, 267, 849, 1634, 607, 968, 339, 3419, 7970, 7536, 29819, 2986, 15552, 514, 4039, 8985, 454, 288, 1268, 945, 814, 3323, 1210, 5869, 514, 1586, 949, 912, 268, 1995, 7099, 23638, 267, 4160, 267, 543, 5924, 29338, 454, 268, 11198, 689, 2828, 543, 1920, 2818, 454, 268, 2887, 3297, 693, 960, 610, 1153, 454, 268, 3247, 1210, 6051, 2533, 267, 971, 607, 3797, 610, 1489, 2516, 454, 268, 4159, 2427, 2360, 540, 5869, 514, 946, 267, 971, 607, 13481, 267, 4130, 10453, 267, 669, 1571, 267, 621, 577, 1465, 267, 3819, 5023, 267, 610, 8373, 12008, 454, 268, 723, 2960, 7436, 610, 20015, 2478, 689, 7630, 532, 5869, 514, 454, 2791, 949, 849, 1265, 5869, 514, 1612, 777, 615, 2522, 807, 538, 519, 1268, 779, 1753, 267, 6174, 267, 610, 824, 2123, 2230, 269, 5871, 1612, 777, 615, 2522, 807, 2882, 912, 268, 10412, 11084, 454, 268, 15524, 601, 2167, 610, 12673, 454, 268, 12902, 4574, 454, 268, 11956, 23240, 454, 268, 18202, 909, 13362, 12014, 610, 1957, 454, 2252, 596, 610, 2576, 596, 2648, 814, 882, 17863, 267, 1289, 593, 513, 13384, 528, 267, 10709, 593, 1346, 596, 3972, 585, 1489, 267, 610, 3343, 948, 693, 606, 8213, 2126, 4099, 563, 1692, 1677, 16473, 15552, 514, 4039, 8985, 454, 2691, 10478, 585, 606, 8213, 2126, 4099, 267, 3442, 835, 602, 3091, 2564, 19140, 2305, 267, 6646, 29374, 2126, 267, 543, 1310, 3249, 4058, 269, 2353, 540, 891, 2533, 2569, 519, 1981, 540, 26739, 563, 7628, 2564, 19140, 267, 7189, 786, 948, 596, 7444, 3247, 1210, 5869, 514, 269, 901, 16795, 1935, 666, 2569, 15639, 2589, 267, 1818, 26739, 1447, 2693, 563, 1103, 6646, 29374, 2126, 267, 610, 13878, 267, 7189, 666, 2061, 26739, 676, 1095, 21564, 6527, 971, 607, 912, 268, 8715, 611, 821, 267, 606, 23776, 30748, 626, 602, 666, 1521, 15639, 2589, 543, 2569, 5869, 514, 26351, 454, 268, 1207, 335, 1066, 6973, 710, 267, 513, 9864, 23776, 30748, 626, 602, 1568, 13974, 547, 8715, 611, 821, 454, 268, 562, 5306, 516, 343, 821, 267, 606, 23776, 21087, 626, 602, 11151, 5869, 514, 543, 824, 17414, 6950, 689, 4929, 16990, 2360, 454, 6524, 596, 4734, 707, 2126, 1982, 267, 596, 543, 707, 7189, 666, 960, 1927, 547, 1711, 513, 10531, 1310, 3249, 1544, 269, 2659, 1544, 949, 1331, 2994, 899, 3797, 267, 2618, 17226, 267, 1489, 1949, 267, 543, 9716, 2238, 563, 26452, 2010, 540, 3797, 666, 948, 596, 2226, 707, 6051, 269, 1452, 1331, 912, 268, 8965, 3797, 267, 1141, 596, 3580, 960, 609, 513, 2790, 1072, 3318, 547, 2697, 12153, 585, 5869, 514, 946, 543, 1451, 875, 547, 11883, 609, 873, 454, 268, 1920, 3797, 267, 1141, 513, 2790, 1072, 3318, 666, 948, 596, 543, 707, 1920, 2818, 1451, 811, 827, 707, 8213, 543, 875, 547, 1655, 1489, 707, 8213, 6051, 454, 268, 1148, 3797, 267, 1141, 596, 666, 2569, 2566, 998, 3860, 4082, 454, 2252, 596, 2661, 609, 4965, 267, 4160, 267, 17299, 4524, 267, 610, 1776, 2790, 1072, 1966, 267, 596, 949, 3068, 513, 2362, 1981, 540, 26739, 269, 2334, 779, 1946, 621, 779, 1271, 547, 4309, 5571, 2126, 585, 707, 2152, 563, 4407, 930, 1004, 1265, 8323, 998, 3797, 4805, 267, 1866, 849, 991, 513, 31897, 547, 21559, 6527, 899, 31520, 267, 25316, 2134, 18352, 267, 610, 4550, 12845, 3806, 5061, 563, 6624, 1004, 1265, 602, 476, 1321, 9912, 3292, 543, 824, 9263, 1489, 2516, 1404, 606, 1271, 1909, 538, 6051, 543, 26739, 6604, 269, 769, 891, 2516, 267, 596, 666, 2671, 707, 2833, 543, 12003, 2994, 609, 824, 1004, 23232, 689, 5869, 514, 8213, 563, 20118, 267, 621, 779, 1271, 547, 3295, 3054, 609, 2828, 543, 1920, 2818, 945, 1174, 8213, 543, 1616, 547, 1489, 596, 563, 8002, 8481, 899, 3635, 267, 9066, 267, 10649, 267, 543, 30998, 666, 948, 2061, 26739, 676, 5355, 707, 2790, 1072, 269, 1358, 666, 849, 1832, 707, 2395, 2407, 543, 11295, 267, 4758, 596, 7864, 3255, 547, 26739, 563, 2252, 596, 723, 2907, 6192, 2126, 267, 596, 666, 2061, 26739, 676, 1739, 707, 1310, 3249, 1544, 269, 1403, 596, 1810, 1406, 723, 606, 1310, 3249, 610, 1246, 5346, 1544, 267, 2911, 547, 606, 8213, 2126, 11285, 827, 2870, 835, 563, 2414, 1451, 811, 827, 5869, 514, 26739, 6604, 543, 2500, 2126, 3681, 267, 5225, 3914, 856, 547, 606, 18206, 19884, 2657, 11285, 2221, 563, 24309, 676, 18206, 19884, 2657, 32000, 12243, 454, 15100, 1708, 274, 18206, 2817, 15579, 902, 267, 20941, 269, 1923, 2353, 7126, 27616, 563, 1607, 2985, 1281, 711, 1683, 2564, 5796, 563, 291, 2607, 2037, 7593, 10029, 630, 291, 12788, 264, 910, 15552, 514, 454, 13233, 4659, 593, 10684, 18816, 910, 9615, 543, 18401, 454, 13233, 4659, 593, 10684, 18816, 910, 20050, 540, 15552, 514, 2422, 1923, 14168, 3367, 454, 26524, 6168, 9615, 888, 6635, 330, 19884, 2657, 3091, 476, 1911, 260, 14804, 6219, 6057, 4879, 543, 2126, 13307, 3358, 547, 707, 1367, 2115, 269, 19793, 557, 1279, 3856, 6051, 563, 1911, 260, 14804, 269, 1284, 2463, 707, 7834, 563, 2171, 4312, 3893, 596, 4988, 563, 3725, 576, 633, 476, 2190, 270, 278, 1257, 1489, 1318, 2476, 563, 2467, 568, 1100, 17185, 543, 596, 666, 1904, 856, 693, 1022, 942, 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 ]
[ 0, 14813, 5509, 4016, 547, 519, 2168, 1489, 2533, 2556, 585, 1646, 269, 2311, 519, 14724, 1377, 267, 513, 4155, 267, 5397, 3118, 267, 610, 8897, 618, 540, 930, 1826, 568, 1898, 547, 11543, 3959, 1569, 543, 3850, 1646, 593, 513, 3959, 269, 4033, 5989, 666, 1331, 1216, 610, 29326, 3515, 538, 2919, 2127, 267, 610, 19401, 543, 12555, 9055, 538, 6917, 2127, 269, 15379, 1379, 267, 15146, 3515, 267, 8613, 10814, 543, 6775, 23726, 616, 849, 2808, 5989, 269, 13575, 267, 519, 811, 1004, 4397, 693, 513, 3135, 267, 519, 811, 5989, 602, 568, 2877, 547, 1683, 2533, 563, 14813, 5509, 585, 1367, 3785, 568, 17411, 693, 519, 5234, 1377, 543, 568, 2356, 519, 1101, 2243, 4280, 7282, 519, 1646, 1761, 585, 513, 3959, 269, 4107, 8041, 723, 1646, 4441, 602, 3715, 513, 2596, 5934, 2179, 540, 5989, 585, 1978, 2010, 540, 1646, 267, 543, 538, 1082, 8320, 723, 7550, 3921, 514, 1734, 602, 2154, 606, 10137, 540, 3515, 547, 1921, 547, 4540, 5989, 269, 1306, 513, 1267, 267, 676, 519, 942, 519, 4058, 10243, 568, 6236, 513, 1788, 891, 2152, 723, 7361, 1044, 9619, 563, 30999, 31531, 5989, 1590, 581, 4547, 689, 606, 1858, 3544, 540, 519, 1788, 6302, 543, 12212, 585, 930, 3845, 269, 1879, 713, 4386, 267, 972, 616, 1463, 5222, 971, 607, 29503, 532, 267, 4155, 19479, 267, 3092, 1421, 2404, 609, 4070, 543, 9940, 5222, 971, 607, 2208, 16578, 618, 602, 519, 8189, 1590, 2015, 269, 1306, 713, 991, 1131, 581, 851, 540, 519, 1788, 3294, 267, 1312, 519, 1463, 543, 9940, 5222, 1058, 849, 581, 9619, 538, 519, 5234, 1867, 585, 519, 1788, 543, 3177, 547, 519, 8189, 563, 8489, 519, 8189, 786, 723, 513, 9645, 2161, 538, 1141, 5989, 568, 3177, 568, 538, 1279, 2039, 4058, 2404, 609, 513, 2489, 610, 513, 1808, 1544, 267, 610, 4487, 4058, 540, 513, 1804, 1788, 269, 1306, 513, 851, 540, 713, 1184, 267, 519, 8189, 786, 991, 547, 2015, 4540, 543, 2104, 2244, 946, 543, 5234, 786, 1683, 1344, 3823, 20848, 538, 602, 1858, 602, 949, 581, 2139, 547, 1489, 3606, 1646, 269, 1323, 1383, 1522, 581, 6236, 4946, 1007, 8027, 547, 513, 25708, 1141, 1216, 543, 29326, 3515, 2907, 2291, 269, 769, 930, 8320, 267, 972, 786, 581, 7850, 4390, 1317, 519, 1062, 949, 723, 1044, 2966, 585, 8027, 538, 519, 2250, 267, 538, 1866, 7269, 540, 519, 1062, 949, 581, 2838, 607, 851, 540, 1022, 9283, 269, 9453, 2930, 4702, 1353, 621, 568, 711, 2009, 547, 917, 1018, 9283, 786, 581, 2877, 563, 14187, 24486, 12020, 454, 14187, 5989, 4058, 6238, 609, 519, 2489, 1544, 543, 519, 17191, 5860, 543, 8515, 540, 1646, 269, 5221, 649, 666, 7447, 10626, 3747, 1759, 593, 2551, 543, 2679, 2450, 267, 713, 568, 835, 2601, 1946, 23029, 4559, 267, 7606, 829, 23505, 267, 1826, 543, 2450, 540, 5010, 1646, 568, 606, 1271, 5057, 540, 1279, 24365, 4058, 269, 27814, 5989, 1058, 581, 943, 1078, 267, 2495, 602, 596, 1152, 1628, 2614, 547, 2743, 707, 2110, 3856, 2115, 543, 1450, 585, 7269, 547, 1279, 2165, 269, 1717, 267, 519, 1367, 11775, 949, 991, 547, 581, 3677, 982, 519, 1788, 693, 1688, 547, 1491, 5413, 540, 4702, 31931, 267, 610, 16566, 269, 898, 568, 711, 2009, 547, 1628, 3368, 606, 936, 10139, 585, 1383, 563, 14813, 5509, 666, 849, 581, 1031, 547, 948, 3391, 1646, 883, 2127, 540, 519, 2146, 602, 2743, 519, 3853, 540, 519, 2489, 1544, 269, 1403, 2101, 5989, 568, 6905, 883, 606, 1858, 602, 4867, 19330, 5989, 621, 3587, 4443, 585, 1646, 547, 2049, 267, 799, 666, 4482, 1646, 1719, 269, 2755, 538, 835, 2796, 713, 1223, 581, 2808, 2208, 1802, 1424, 267, 538, 1776, 621, 666, 581, 2938, 607, 2417, 532, 519, 6788, 6829, 538, 519, 2489, 1544, 563, 14813, 5509, 4058, 1281, 711, 1175, 1413, 693, 1007, 630, 13582, 7615, 264, 1646, 1761, 267, 621, 568, 849, 1271, 547, 6218, 519, 1761, 547, 14556, 1518, 1646, 602, 814, 2907, 7018, 269, 1280, 1383, 267, 952, 596, 616, 9750, 8027, 3255, 538, 707, 25708, 621, 568, 2693, 602, 602, 519, 1007, 5321, 786, 723, 513, 3152, 3747, 593, 29326, 543, 1216, 1949, 982, 519, 4540, 5010, 2244, 946, 269, 2755, 9750, 4540, 5989, 666, 581, 26688, 547, 3232, 2238, 267, 8716, 1102, 650, 949, 723, 3152, 1279, 3856, 2640, 563, 22479, 1388, 26094, 12697, 454, 288, 3854, 9283, 1544, 12462, 5746, 303, 14615, 568, 513, 1544, 585, 519, 1931, 569, 7269, 543, 14104, 540, 5989, 1765, 899, 9897, 267, 12775, 267, 694, 9955, 267, 1216, 3515, 267, 11614, 267, 8021, 543, 824, 18523, 29319, 23121, 2743, 519, 2115, 540, 1007, 543, 4540, 1646, 269, 1452, 3790, 616, 2565, 24723, 602, 666, 25864, 581, 4988, 998, 513, 2199, 8116, 779, 5993, 5665, 6578, 269, 4495, 513, 595, 7709, 568, 2813, 267, 621, 666, 581, 1031, 547, 3715, 513, 13927, 8430, 585, 1007, 1646, 269, 634, 6554, 8943, 8791, 476, 4792, 272, 6734, 15100, 3340, 519, 4058, 8116, 547, 2689, 3854, 9283, 585, 11007, 609, 519, 2489, 1544, 269, 2290, 1505, 540, 4180, 11007, 568, 547, 723, 519, 4058, 10243, 2689, 543, 1118, 513, 2489, 1544, 11007, 4466, 585, 519, 595, 7709, 1991, 547, 922, 10073, 676, 519, 8116, 563, 2414, 1683, 513, 2241, 1383, 267, 952, 513, 2749, 779, 3854, 9283, 1544, 7125, 585, 1142, 8378, 547, 723, 922, 1378, 6288, 543, 519, 6059, 1942, 585, 513, 6288, 538, 513, 1007, 476, 1220, 271, 15492, 1646, 568, 1269, 1911, 267, 1822, 267, 519, 829, 15492, 13927, 1131, 581, 1269, 4335, 269, 4107, 9273, 616, 811, 1950, 267, 855, 519, 2856, 568, 519, 1482, 281, 1007, 1646, 1058, 4584, 909, 922, 4023, 2671, 540, 519, 1942, 540, 5989, 269, 5457, 267, 2705, 267, 602, 1007, 1646, 3112, 581, 4280, 547, 1118, 909, 585, 28919, 538, 4540, 5989, 269, 1280, 1383, 267, 952, 606, 4540, 16894, 2126, 2030, 2115, 547, 581, 8719, 267, 519, 8116, 3112, 1747, 519, 3003, 10682, 1942, 593, 1007, 1646, 563, 22913, 4566, 616, 1419, 5423, 585, 1271, 5989, 269, 1452, 4566, 616, 1759, 593, 519, 2489, 1544, 543, 2992, 519, 17191, 1646, 1761, 1369, 519, 3028, 1858, 4988, 676, 519, 1544, 269, 10705, 519, 5234, 1867, 610, 2079, 585, 519, 1788, 786, 4704, 2436, 519, 1788, 568, 5812, 609, 519, 1216, 267, 16894, 610, 7088, 12775, 4487, 1544, 269, 769, 930, 2665, 267, 8569, 540, 12375, 568, 782, 602, 568, 2877, 585, 519, 1788, 547, 581, 2808, 5812, 267, 543, 538, 1866, 519, 1788, 786, 2965, 4020, 930, 540, 519, 9283, 1572, 585, 538, 519, 4487, 1544, 269, 1306, 519, 9283, 543, 12375, 616, 1759, 593, 1646, 1761, 267, 3785, 602, 616, 1447, 982, 519, 4397, 1761, 666, 723, 606, 1764, 593, 519, 2949, 1544, 1317, 519, 8116, 949, 4309, 1447, 538, 519, 1259, 540, 12375, 799, 666, 1860, 7616, 540, 824, 1544, 3334, 563, 14946, 619, 3277, 547, 5989, 607, 20848, 543, 7941, 873, 883, 6632, 543, 3819, 20848, 269, 22911, 20848, 1331, 1216, 267, 29326, 543, 7088, 12775, 269, 4826, 3028, 666, 581, 3177, 676, 513, 1857, 8116, 610, 676, 513, 4357, 1216, 2754, 610, 538, 930, 8320, 676, 519, 2244, 26782, 2933, 998, 2901, 513, 4357, 1134, 610, 4015, 540, 19401, 269, 634, 13307, 540, 1216, 3515, 568, 14931, 676, 606, 8116, 779, 1374, 4441, 543, 676, 519, 2168, 10148, 540, 519, 3135, 269, 5221, 1216, 3515, 7500, 896, 2604, 267, 14869, 19527, 543, 23898, 616, 711, 607, 2565, 606, 3390, 547, 1007, 1216, 3515, 563, 2005, 568, 1271, 547, 4063, 602, 1034, 1216, 2533, 616, 21092, 630, 26074, 519, 8006, 540, 519, 12992, 543, 519, 1374, 540, 519, 1062, 264, 711, 585, 519, 4890, 946, 540, 519, 2679, 855, 547, 2743, 3595, 2095, 799, 568, 513, 1454, 2362, 3747, 269, 4826, 7426, 5965, 606, 12124, 4826, 5004, 4643, 630, 308, 310, 6573, 264, 602, 17648, 1646, 5812, 609, 513, 2489, 1544, 267, 2982, 519, 3028, 1858, 543, 2707, 540, 782, 1216, 269, 630, 12850, 8943, 8791, 476, 11793, 4029, 264, 15394, 267, 513, 1788, 602, 568, 5812, 609, 519, 2489, 1544, 543, 519, 772, 310, 6573, 568, 6190, 547, 3313, 972, 568, 7850, 1216, 585, 602, 1788, 269, 8074, 602, 519, 9337, 5712, 540, 519, 772, 310, 6573, 543, 1114, 982, 1346, 540, 519, 2489, 1544, 4061, 607, 851, 540, 519, 1646, 2689, 1184, 519, 8116, 1476, 619, 609, 519, 1216, 8502, 2038, 538, 519, 1646, 2689, 1184, 547, 2327, 7850, 1216, 2200, 269, 1280, 1804, 3785, 4826, 8943, 8791, 476, 11820, 1015, 3340, 7041, 540, 513, 1216, 3761, 4879, 630, 310, 6347, 264, 607, 851, 540, 519, 2825, 12319, 585, 519, 1788, 269, 634, 654, 6347, 1590, 6542, 602, 1216, 568, 2139, 547, 2743, 519, 2115, 540, 519, 1788, 1282, 2789, 10980, 1296, 563, 2690, 6917, 3785, 267, 610, 3785, 602, 616, 593, 930, 1106, 540, 15780, 1134, 267, 3246, 3028, 666, 581, 811, 7294, 269, 634, 2601, 585, 713, 568, 519, 12655, 16140, 4248, 5004, 2920, 630, 12850, 8943, 8791, 476, 13040, 736, 264, 602, 20964, 6237, 4058, 547, 2061, 22536, 2761, 540, 15780, 269, 3683, 323, 2761, 568, 950, 811, 1216, 568, 13939, 689, 519, 2666, 982, 666, 581, 25579, 1639, 269, 4033, 4058, 9270, 585, 15780, 19401, 1331, 1216, 2298, 267, 17529, 829, 8792, 267, 6595, 11718, 4433, 264, 607, 19307, 543, 2009, 5872, 609, 824, 15780, 19401, 269, 4270, 13307, 267, 10205, 618, 543, 4070, 616, 2356, 13327, 523, 676, 519, 2199, 1072, 8257, 945, 2226, 4441, 585, 15780, 19401, 563, 1103, 4993, 1216, 568, 513, 3407, 543, 17077, 4199, 269, 634, 8797, 543, 3608, 946, 267, 543, 6038, 19074, 540, 1216, 267, 568, 606, 1898, 851, 540, 519, 1279, 2039, 543, 1699, 4058, 1184, 269, 2991, 1296, 540, 2789, 26221, 267, 938, 17866, 1216, 4015, 543, 3892, 1062, 568, 8260, 908, 602, 3664, 593, 1646, 1331, 513, 4901, 540, 1216, 6165, 269, 13689, 593, 4087, 543, 1216, 2200, 267, 3608, 946, 540, 1216, 949, 2154, 519, 17594, 540, 1876, 985, 538, 930, 2127, 267, 543, 519, 10137, 540, 556, 13094, 1216, 883, 1866, 563, 306, 1168, 518, 610, 7254, 3202, 29326, 568, 24903, 835, 540, 519, 1034, 1271, 3344, 540, 1646, 607, 6297, 7156, 568, 2877, 547, 2057, 12526, 543, 1072, 5222, 269, 589, 2102, 2886, 602, 1683, 29326, 3028, 1711, 4487, 4566, 602, 7048, 593, 1646, 1761, 3964, 676, 519, 2489, 1544, 269, 1452, 4487, 4566, 1419, 1106, 519, 4493, 540, 1764, 12375, 9901, 585, 1646, 547, 1921, 547, 519, 1062, 269, 634, 29326, 4487, 4566, 3335, 723, 513, 4015, 543, 513, 2126, 1062, 5057, 563, 306, 1168, 518, 3515, 616, 5116, 11895, 267, 543, 23679, 2966, 547, 946, 8904, 547, 1847, 5277, 543, 17571, 4724, 513, 16894, 2126, 2030, 269, 5221, 540, 519, 3575, 540, 5277, 543, 17571, 267, 519, 9386, 540, 519, 29326, 1899, 568, 1271, 269, 1403, 519, 9386, 540, 519, 1899, 568, 1932, 14869, 519, 5277, 786, 2095, 5488, 982, 519, 17571, 799, 666, 1291, 547, 519, 17571, 17527, 519, 10612, 269, 1403, 519, 9386, 540, 519, 1899, 568, 1932, 13719, 519, 2095, 786, 2445, 543, 666, 24715, 622, 4929, 17627, 543, 31797, 2042, 269, 1403, 27177, 1281, 711, 1450, 519, 946, 540, 8904, 267, 519, 8116, 949, 2154, 513, 1106, 540, 6802, 1634, 607, 513, 12740, 6728, 547, 12740, 519, 29326, 909, 543, 883, 513, 8904, 1062, 269, 769, 930, 8320, 267, 519, 6802, 666, 3196, 21137, 883, 513, 2046, 28962, 29326, 1899, 799, 568, 1634, 607, 513, 7142, 1292, 269, 2755, 12740, 10473, 543, 7142, 1292, 338, 616, 1898, 538, 930, 2950, 267, 8030, 2119, 547, 2057, 873, 1317, 789, 2154, 1379, 543, 723, 3001, 2694, 799, 2154, 2834, 5826, 269, 5221, 540, 519, 1761, 585, 31797, 267, 543, 547, 14867, 17453, 2604, 267, 3515, 616, 4448, 1210, 513, 3126, 540, 812, 32440, 269, 589, 812, 23346, 630, 528, 5826, 8559, 264, 568, 2356, 513, 6405, 6241, 602, 5012, 547, 519, 29326, 1899, 269, 634, 29326, 1899, 568, 1930, 693, 519, 5377, 540, 513, 812, 23346, 547, 1450, 14791, 543, 547, 4894, 31797, 563, 5629, 519, 21137, 10301, 519, 16894, 2126, 2030, 621, 568, 5701, 538, 13076, 609, 1533, 543, 5313, 4170, 269, 2368, 16894, 2126, 2371, 1521, 21137, 693, 513, 1377, 602, 2636, 19074, 540, 519, 1216, 269, 1234, 4310, 1216, 666, 581, 2046, 28962, 899, 1494, 762, 1216, 855, 568, 9447, 538, 513, 13711, 10612, 269, 634, 12992, 616, 13711, 547 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 620, 30282, 538, 519, 2797, 26750, 267, 693, 2157, 8151, 689, 519, 5177, 12057, 538, 519, 2038, 1296, 267, 547, 7839, 9525, 538, 519, 18960, 7516, 540, 2534, 971, 607, 519, 3864, 543, 13677, 1612, 2993, 14613, 269, 1306, 568, 547, 581, 4397, 267, 972, 568, 513, 1360, 3376, 3892, 2066, 519, 2039, 540, 2797, 6105, 543, 5322, 563, 1103, 5177, 3084, 6214, 267, 972, 941, 1079, 11788, 3687, 8651, 267, 11184, 8361, 23720, 5174, 2335, 9007, 630, 299, 28515, 267, 476, 5002, 276, 268, 5400, 264, 543, 12448, 12844, 541, 4521, 630, 8256, 969, 894, 267, 476, 4572, 273, 268, 2537, 264, 543, 1082, 3687, 8651, 540, 16410, 6839, 7584, 269, 769, 13677, 6214, 267, 519, 9972, 13677, 2797, 5604, 267, 602, 540, 14199, 540, 3557, 585, 10430, 538, 519, 5177, 14618, 267, 729, 4904, 593, 513, 1297, 540, 14026, 676, 29161, 620, 30282, 267, 543, 950, 1821, 1828, 4547, 513, 2268, 540, 1582, 3766, 17922, 547, 10430, 538, 476, 1960, 280, 267, 519, 1360, 1101, 3689, 10579, 729, 18496, 667, 1168, 541, 630, 4350, 278, 910, 476, 1220, 271, 264, 945, 1185, 8149, 5128, 547, 519, 2014, 540, 1821, 1828, 563, 303, 11823, 5428, 3401, 11338, 1331, 513, 1297, 540, 29161, 620, 30282, 267, 711, 2547, 538, 2487, 1296, 267, 609, 3627, 8055, 630, 4350, 279, 268, 11463, 264, 3056, 519, 23267, 9549, 2394, 1010, 2150, 830, 569, 2669, 267, 543, 8176, 17394, 543, 11184, 9093, 345, 625, 23720, 585, 519, 27565, 24273, 269, 769, 519, 4505, 14206, 2540, 267, 2160, 620, 30282, 941, 9244, 6719, 538, 519, 4414, 595, 569, 9188, 728, 9097, 24180, 3350, 267, 609, 6276, 8575, 868, 517, 630, 6642, 276, 268, 3707, 277, 264, 543, 3627, 5839, 14211, 630, 6942, 280, 268, 4572, 274, 264, 607, 1134, 607, 8751, 3627, 8725, 630, 6642, 273, 268, 3422, 276, 1070, 4171, 2038, 9097, 25847, 1705, 711, 2061, 12736, 8725, 26235, 6966, 532, 1864, 607, 14199, 540, 3557, 585, 10430, 1282, 2622, 2782, 4083, 910, 543, 945, 538, 1010, 2022, 24733, 8365, 776, 4876, 729, 513, 3532, 4137, 538, 519, 1646, 540, 1164, 1633, 10430, 998, 31527, 3167, 1379, 267, 26216, 543, 9235, 269, 0, 1432, 568, 968, 25542, 3206, 18313, 25542, 3206, 1797, 602, 621, 568, 519, 2298, 540, 519, 2856, 4805, 602, 1058, 2339, 269, 6056, 827, 621, 269, 769, 513, 10004, 4055, 593, 519, 5769, 267, 9444, 1268, 6487, 519, 2085, 267, 2069, 267, 3023, 6862, 1995, 540, 519, 824, 1268, 269, 1358, 1152, 917, 519, 2298, 543, 7954, 540, 519, 2093, 1373, 6035, 547, 873, 563, 7049, 2473, 619, 630, 1137, 476, 4029, 268, 7906, 264, 941, 519, 1101, 5108, 540, 4892, 547, 1871, 713, 1523, 563, 4131, 803, 2285, 596, 513, 19858, 3510, 602, 9727, 875, 713, 5540, 741, 2816, 2773, 912, 288, 1007, 2637, 2473, 9441, 15211, 883, 707, 5604, 593, 1554, 835, 269, 898, 779, 1079, 3108, 883, 519, 6640, 540, 519, 1101, 1554, 593, 519, 2816, 267, 543, 519, 2637, 2473, 518, 3091, 596, 267, 519, 20148, 267, 606, 2856, 269, 901, 568, 6093, 2637, 2473, 2623, 563, 763, 2637, 2473, 518, 568, 711, 1373, 771, 27920, 995, 540, 707, 1296, 540, 1995, 269, 2473, 619, 616, 3274, 883, 968, 25542, 3206, 3034, 2414, 2473, 619, 267, 621, 779, 519, 2298, 540, 741, 2856, 602, 12523, 267, 711, 519, 942, 6039, 563, 3383, 267, 950, 606, 2473, 518, 12134, 596, 547, 2015, 1945, 1007, 267, 789, 3580, 1174, 968, 5591, 892, 607, 1279, 607, 789, 1589, 621, 779, 711, 513, 12597, 18191, 17064, 5114, 269, 1656, 267, 789, 3580, 1174, 968, 5591, 892, 952, 596, 2285, 873, 513, 4570, 2601, 1946, 621, 1522, 711, 960, 563, 24876, 873, 513, 12597, 18191, 17064, 968, 5591, 892, 2560, 543, 519, 2473, 518, 568, 2907, 3206, 827, 3168, 585, 1776, 2816, 267, 835, 1141, 1007, 2093, 616, 2808, 563, 6546, 779, 1018, 5769, 3206, 568, 782, 827, 269, 0, 10287, 513, 1650, 1936, 730, 538, 7969, 607, 596, 1451, 3730, 1913, 540, 4948, 1272, 1519, 26250, 902, 267, 2338, 269, 4778, 267, 2395, 540, 519, 3018, 267, 1920, 2818, 267, 1560, 2694, 267, 543, 811, 269, 3955, 13512, 1441, 2429, 519, 1650, 616, 476, 2641, 5172, 669, 573, 331, 1066, 781, 8964, 538, 7969, 543, 2296, 547, 12927, 1565, 998, 2575, 3965, 563, 5938, 778, 2725, 2859, 7969, 5170, 519, 1893, 1565, 7045, 609, 811, 8964, 543, 4359, 6863, 269, 15881, 730, 538, 7969, 267, 713, 1650, 22842, 519, 12405, 543, 3275, 540, 519, 1032, 269, 7427, 2059, 607, 596, 2972, 513, 3643, 547, 519, 11824, 267, 513, 23291, 267, 513, 3484, 267, 513, 9754, 267, 543, 1451, 827, 14812, 269, 0, 276, 1296, 3516, 519, 2489, 2551, 1131, 711, 581, 2111, 547, 2697, 25989, 269, 4653, 519, 21364, 3039, 568, 1031, 585, 1454, 811, 982, 7718, 908, 19997, 13063, 547, 1118, 873, 1413, 7168, 269, 918, 1446, 630, 531, 784, 609, 22156, 264, 814, 2938, 606, 2333, 538, 8560, 936, 519, 2063, 1906, 1296, 269, 1703, 616, 1631, 20382, 10213, 596, 875, 547, 1118, 707, 1378, 25989, 13365, 267, 543, 10346, 585, 834, 13582, 5347, 625, 257, 616, 782, 936, 519, 4950, 563, 298, 1446, 568, 513, 21364, 3039, 10448, 602, 568, 16041, 609, 15934, 23554, 7530, 589, 267, 595, 267, 543, 918, 267, 543, 621, 568, 513, 1434, 2707, 540, 1898, 6886, 899, 7601, 267, 11379, 267, 4401, 267, 22670, 267, 543, 16903, 269, 589, 7484, 540, 713, 10448, 267, 799, 666, 581, 1336, 538, 519, 3132, 8257, 267, 568, 1152, 827, 476, 2412, 8477, 269, 918, 1446, 849, 3568, 6775, 543, 25558, 523, 6950, 267, 543, 32064, 6950, 267, 513, 627, 25891, 476, 3393, 540, 873, 269, 3962, 32064, 1355, 814, 741, 1378, 1072, 2640, 267, 1034, 609, 4550, 2275, 22083, 3601, 563, 298, 1446, 814, 519, 3376, 652, 2039, 540, 14434, 543, 5207, 2157, 540, 12192, 737, 543, 513, 1826, 540, 12192, 661, 602, 4667, 547, 581, 2295, 2635, 269, 4014, 11976, 1404, 513, 1909, 267, 621, 814, 1044, 3254, 547, 2539, 8501, 543, 949, 2569, 519, 1981, 540, 1978, 2186, 540, 11871, 269, 634, 6775, 538, 25989, 2337, 12622, 8501, 538, 519, 1560, 543, 608, 4740, 621, 267, 799, 10607, 2295, 1072, 269, 2353, 540, 1346, 14434, 543, 32064, 6950, 2285, 707, 1560, 8165, 1379, 1996, 1585, 11871, 269, 769, 1249, 267, 835, 1353, 5267, 602, 25989, 1349, 949, 21391, 519, 2504, 540, 4540, 3935, 2860, 2281, 563, 2467, 616, 513, 1906, 1919, 547, 581, 3222, 540, 609, 918, 1446, 269, 5221, 540, 922, 1164, 12192, 918, 2157, 267, 621, 666, 581, 513, 1966, 585, 1004, 2921, 1973, 6094, 2996, 543, 824, 6527, 1317, 621, 8992, 32378, 269, 13185, 547, 707, 4387, 610, 2732, 23790, 827, 2810, 519, 918, 1446, 538, 707, 2732, 952, 596, 1491, 1022, 540, 891, 6527, 540, 723, 1185, 2152, 609, 1973, 28163, 267, 2295, 6285, 267, 610, 18116, 538, 519, 2250, 563, 298, 1446, 849, 3568, 3404, 531, 919, 269, 1452, 616, 4122, 835, 540, 519, 1292, 5057, 547, 8459, 10007, 269, 14856, 513, 2732, 1164, 538, 3404, 531, 919, 949, 2333, 707, 1981, 540, 3384, 8459, 10007, 543, 930, 7086, 18429, 269, 634, 1655, 1259, 547, 8396, 713, 568, 547, 4235, 7899, 540, 1216, 267, 827, 476, 274, 20990, 829, 1554, 563, 305, 1177, 25989, 666, 849, 2014, 26533, 267, 3154, 543, 824, 14159, 2152, 269, 898, 849, 3568, 513, 7623, 602, 666, 16401, 11178, 1599, 538, 1978, 1004, 269, 1411, 949, 1616, 547, 2015, 4189, 519, 4608, 10541, 4528, 540, 713, 10448, 1152, 476, 272, 268, 273, 2053, 829, 3018, 952, 596, 723, 891, 2042, 269, 4014, 596, 666, 3548, 607, 1454, 540, 519, 11273, 17724, 773, 607, 596, 899, 563, 298, 1446, 568, 513, 1390, 1426, 547, 1039, 883, 707, 2732, 269, 6736, 519, 4145, 7396, 1657, 267, 621, 814, 3665, 1072, 2640, 585, 1034, 540, 519, 2551, 269, 1403, 596, 616, 12955, 547, 1294, 1018, 782, 540, 519, 1728, 701, 568, 827, 267, 2119, 713, 3579, 3039, 5347, 773, 593, 513, 3905, 4832, 1554, 563, 298, 1446, 3911, 26743, 773, 609, 25882, 20625, 543, 14465, 3570, 454, 306, 12883, 476, 273, 267, 2836, 1559, 476, 26562, 454, 268, 476, 272, 270, 273, 7484, 17310, 5144, 454, 268, 476, 273, 11680, 6565, 4364, 543, 22872, 25989, 610, 22156, 454, 268, 476, 272, 476, 272, 270, 273, 11680, 22872, 12566, 20625, 630, 12671, 476, 272, 270, 275, 5420, 12566, 20625, 994, 268, 476, 272, 22691, 19337, 267, 22872, 454, 268, 28799, 519, 17310, 5144, 267, 476, 16006, 7484, 1216, 267, 519, 25989, 267, 12566, 20625, 267, 543, 19337, 538, 513, 1025, 2658, 543, 6986, 324, 2394, 5347, 267, 827, 476, 272, 8792, 267, 4946, 811, 1216, 547, 3914, 519, 5551, 11007, 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 ]
[ 609, 922, 1378, 2189, 1259, 540, 2870, 606, 15138, 8301, 1995, 269, 769, 713, 3296, 267, 649, 786, 2263, 519, 1034, 2442, 2010, 540, 476, 274, 291, 8301, 4066, 281, 19264, 2581, 923, 267, 26541, 2421, 2311, 21573, 267, 543, 667, 4811, 281, 311, 563, 288, 3387, 2581, 923, 568, 513, 3295, 3280, 2029, 602, 19306, 3280, 689, 782, 8846, 1210, 513, 28416, 5044, 269, 898, 1287, 3157, 519, 3280, 547, 1711, 513, 476, 274, 291, 3280, 2361, 602, 666, 581, 5129, 1394, 593, 1022, 10584, 12122, 269, 19264, 2581, 923, 568, 606, 1930, 3044, 267, 799, 1797, 621, 666, 581, 1031, 676, 4896, 547, 1711, 476, 274, 291, 8301, 1543, 269, 898, 568, 4122, 1031, 538, 15283, 543, 8121, 3156, 267, 607, 1134, 607, 538, 2575, 2504, 563, 291, 565, 2421, 2311, 21573, 568, 513, 28106, 476, 274, 291, 8301, 2029, 2919, 676, 26541, 2421, 8534, 14898, 269, 898, 3096, 1843, 2861, 8301, 547, 1711, 513, 811, 15138, 3280, 1995, 269, 769, 26541, 2421, 2311, 21573, 267, 3280, 568, 5701, 607, 1367, 3615, 602, 666, 581, 5116, 9170, 538, 519, 476, 274, 291, 2230, 269, 901, 2636, 585, 811, 5730, 1852, 936, 519, 3280, 2361, 267, 4611, 538, 513, 811, 10853, 543, 15138, 8301, 1995, 269, 26541, 2421, 2311, 21573, 568, 1031, 538, 7260, 519, 11596, 267, 1753, 14364, 1949, 267, 543, 5985, 3457, 563, 291, 4811, 281, 311, 568, 1776, 28106, 476, 274, 291, 8301, 2029, 267, 2919, 676, 667, 4811, 267, 5549, 269, 898, 3096, 1843, 2861, 8301, 547, 1711, 606, 15138, 3280, 1995, 269, 6145, 26541, 2421, 2311, 21573, 267, 3280, 568, 5701, 607, 1367, 3615, 602, 666, 581, 5116, 9170, 538, 519, 476, 274, 291, 2230, 269, 667, 4811, 281, 311, 849, 2882, 513, 4183, 1572, 22532, 281, 311, 267, 799, 666, 909, 332, 1460, 8305, 334, 543, 476, 276, 269, 272, 8301, 547, 1711, 513, 811, 15138, 476, 274, 291, 3280, 2361, 269, 667, 4811, 281, 311, 568, 1031, 538, 7260, 519, 11596, 267, 1753, 14364, 1949, 267, 543, 5985, 3457, 563, 14454, 267, 1142, 540, 891, 476, 274, 291, 8301, 4066, 814, 922, 1378, 2189, 1259, 540, 2870, 606, 15138, 8301, 1995, 269, 6787, 596, 2461, 8384, 513, 7260, 267, 4730, 513, 3381, 3014, 267, 610, 6947, 547, 2575, 267, 476, 274, 291, 8301, 666, 3560, 596, 547, 513, 2898, 1007, 1158, 540, 3280, 563, 21104, 725, 540, 476, 274, 291, 23866, 454, 274, 291, 8301, 814, 513, 3099, 540, 3156, 2066, 1114, 6080, 269, 2913, 779, 2263, 513, 1906, 540, 873, 912, 294, 5446, 543, 14044, 18712, 454, 3080, 540, 519, 1034, 3078, 3156, 540, 476, 274, 291, 8301, 568, 538, 11080, 543, 5691, 4641, 630, 23623, 1040, 2060, 476, 274, 291, 8301, 267, 3014, 9367, 666, 1711, 513, 811, 15138, 1995, 585, 5716, 269, 16319, 666, 581, 5116, 538, 1808, 6753, 267, 4758, 5716, 513, 2631, 540, 3178, 543, 4287, 1275, 269, 901, 666, 3986, 29863, 676, 3850, 5716, 547, 1732, 12398, 14763, 267, 2697, 3615, 267, 543, 6330, 998, 519, 3014, 1158, 563, 1103, 15283, 267, 476, 274, 291, 8301, 568, 1256, 811, 1271, 269, 898, 2337, 547, 1711, 513, 811, 10853, 543, 1825, 15344, 1604, 269, 16319, 666, 581, 1031, 547, 1711, 513, 2631, 540, 4527, 543, 948, 547, 3560, 519, 3593, 547, 513, 1114, 1158, 269, 1280, 1383, 267, 952, 596, 2461, 4730, 513, 15283, 3014, 1305, 538, 513, 4104, 267, 476, 274, 291, 8301, 666, 1118, 621, 1745, 899, 596, 2461, 2731, 972, 267, 11303, 676, 519, 4992, 540, 5017, 669, 597, 4771, 267, 3762, 15309, 1782, 267, 543, 12535, 13576, 563, 274, 291, 8301, 568, 849, 1031, 538, 2575, 2504, 269, 2060, 476, 274, 291, 8301, 267, 2575, 666, 581, 6404, 543, 27058, 538, 513, 1259, 602, 5932, 513, 811, 15138, 6947, 1995, 269, 5502, 540, 1175, 6217, 2575, 538, 8305, 334, 267, 476, 274, 291, 8301, 2636, 585, 4992, 547, 581, 5116, 782, 1472, 519, 26575, 267, 2870, 513, 2631, 540, 3178, 543, 2230, 563, 3080, 540, 519, 1034, 4277, 3344, 540, 476, 274, 291, 8301, 538, 2575, 2504, 568, 519, 2702, 547, 1711, 513, 2631, 540, 3350, 269, 1635, 11093, 4992, 538, 1114, 6753, 267, 2575, 666, 581, 1500, 547, 1745, 899, 621, 779, 3001, 1472, 519, 26575, 269, 901, 666, 581, 1031, 547, 1711, 513, 2631, 540, 8082, 610, 10761, 538, 513, 5152, 267, 610, 547, 1711, 513, 811, 6422, 6947, 1995, 563, 23742, 332, 543, 27657, 454, 7661, 267, 476, 274, 291, 8301, 568, 1031, 538, 4670, 543, 8613, 2504, 269, 2060, 476, 274, 291, 8301, 267, 3280, 9858, 666, 1711, 513, 811, 15138, 1995, 585, 13588, 269, 16319, 666, 581, 5116, 538, 1808, 6753, 267, 2870, 513, 811, 10853, 543, 1825, 15344, 1604, 269, 901, 666, 3986, 519, 13156, 1995, 676, 1818, 621, 1745, 899, 596, 2461, 2731, 972, 267, 538, 519, 1647, 540, 519, 2962, 563, 3080, 540, 519, 1034, 4277, 3344, 540, 476, 274, 291, 8301, 538, 4670, 543, 8613, 568, 519, 2702, 547, 1711, 513, 2631, 540, 3178, 543, 2230, 269, 1635, 11093, 4992, 538, 1114, 6753, 267, 621, 779, 2009, 547, 1711, 513, 811, 10853, 543, 15138, 1604, 269, 1280, 1383, 267, 538, 513, 6429, 1305, 538, 513, 11112, 2749, 8265, 267, 476, 274, 291, 8301, 666, 581, 1031, 547, 1711, 519, 2631, 540, 6517, 8429, 676, 267, 1004, 6158, 267, 543, 2575, 4730, 538, 519, 3845, 269, 901, 666, 948, 547, 1711, 513, 811, 10853, 543, 1825, 15344, 1604, 585, 519, 21951, 563, 31306, 540, 476, 274, 291, 23866, 454, 2026, 2029, 5170, 547, 4434, 267, 519, 2104, 540, 476, 274, 291, 8301, 5654, 9621, 269, 3371, 616, 930, 1761, 7760, 543, 5043, 725, 602, 649, 666, 2503, 547, 1294, 538, 519, 2282, 2104, 563, 3849, 9330, 906, 538, 5303, 454, 3080, 540, 519, 7887, 7760, 538, 476, 274, 291, 8301, 2029, 568, 519, 946, 540, 2212, 9477, 269, 901, 2636, 519, 3280, 547, 1689, 1759, 593, 519, 26575, 779, 2212, 2990, 267, 2870, 513, 811, 15138, 1995, 269, 3958, 267, 1007, 8301, 3009, 14369, 971, 607, 12463, 9680, 6953, 616, 1373, 2919, 602, 666, 3950, 593, 1606, 10547, 3350, 585, 513, 5409, 3146, 531, 2065, 543, 2502, 8301, 1995, 563, 5194, 1761, 13120, 568, 519, 946, 540, 688, 10364, 5955, 267, 799, 666, 1683, 2168, 17915, 547, 3986, 519, 8301, 1995, 269, 1280, 1383, 267, 513, 7784, 3333, 582, 3280, 538, 513, 7260, 1223, 581, 10483, 676, 513, 19089, 538, 519, 26575, 779, 10160, 547, 1711, 513, 811, 10853, 1995, 563, 18204, 1674, 609, 14464, 11106, 454, 2026, 5841, 4987, 630, 9590, 264, 5170, 547, 4434, 267, 649, 666, 2503, 547, 1294, 476, 274, 291, 8301, 2029, 7471, 609, 3642, 1949, 269, 901, 1223, 1450, 585, 10531, 8301, 2833, 1759, 593, 1367, 7375, 543, 6947, 6208, 269, 3642, 1223, 849, 581, 1031, 547, 3986, 519, 6111, 543, 8856, 540, 476, 274, 291, 8301, 267, 3850, 585, 513, 811, 10853, 543, 15138, 1995, 563, 1103, 1840, 267, 3642, 1223, 581, 1031, 547, 2087, 519, 4398, 540, 476, 274, 291, 8301, 4393, 269, 901, 1223, 1291, 547, 5488, 543, 811, 4977, 17021, 540, 476, 274, 291, 8301, 267, 1818, 621, 811, 3015, 543, 10097, 585, 513, 9962, 2039, 540, 3156, 563, 14454, 267, 519, 2104, 540, 476, 274, 291, 8301, 5654, 6505, 269, 2060, 7760, 538, 2029, 543, 5610, 609, 3642, 267, 649, 666, 2503, 547, 1294, 1256, 811, 15138, 543, 10853, 8301, 2833, 538, 519, 1296, 547, 2097, 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 ]
[ 630, 289, 1070, 9967, 540, 476, 275, 2157, 267, 12077, 281, 1100, 1979, 665, 11857, 13226, 3498, 610, 1852, 630, 321, 271, 1070, 476, 1015, 16720, 700, 268, 272, 1216, 630, 321, 272, 1070, 476, 736, 16720, 700, 268, 272, 1216, 630, 321, 273, 1070, 543, 476, 1789, 16720, 700, 268, 272, 1216, 630, 321, 274, 1040, 634, 2034, 3815, 568, 6915, 325, 23459, 9088, 630, 295, 264, 9967, 540, 476, 275, 2157, 267, 12077, 281, 1100, 6915, 325, 23459, 9088, 3498, 540, 1852, 630, 327, 271, 1070, 476, 276, 16720, 700, 268, 272, 1216, 630, 327, 272, 1070, 476, 1015, 16720, 700, 268, 272, 1216, 630, 327, 273, 1070, 543, 476, 1428, 16720, 700, 268, 272, 1216, 630, 327, 274, 1916, 763, 1239, 6394, 941, 2030, 4463, 693, 476, 736, 267, 476, 2412, 543, 476, 2568, 2395, 1310, 9544, 267, 2030, 2085, 693, 15496, 267, 1297, 540, 5613, 829, 2030, 543, 4829, 2597, 829, 2030, 269, 4578, 2079, 729, 5645, 856, 1210, 2079, 540, 13065, 543, 4797, 609, 519, 682, 553, 337, 1713, 3017, 1449, 693, 519, 476, 276, 260, 1377, 563, 763, 2164, 4951, 602, 281, 630, 272, 264, 3498, 540, 1979, 665, 11857, 18168, 1185, 513, 1360, 1713, 1198, 593, 519, 2030, 4463, 693, 476, 736, 267, 476, 2412, 543, 476, 2568, 2395, 1310, 9544, 267, 543, 4829, 2597, 829, 2030, 269, 634, 5207, 4829, 2597, 829, 2030, 729, 3812, 538, 519, 2126, 476, 1789, 16720, 700, 268, 272, 1216, 630, 321, 274, 264, 12077, 476, 14444, 267, 1839, 575, 7693, 268, 272, 267, 543, 519, 9803, 729, 3812, 538, 519, 2126, 1510, 1979, 665, 11857, 18168, 630, 321, 271, 1070, 12077, 476, 12553, 267, 4037, 575, 7693, 268, 272, 282, 630, 273, 264, 3498, 540, 6915, 325, 23459, 9088, 1185, 513, 1713, 547, 1360, 1713, 1198, 593, 519, 2030, 4463, 693, 9907, 476, 2412, 543, 476, 2568, 2395, 1310, 9544, 267, 1297, 540, 5613, 829, 2030, 543, 4829, 2597, 829, 2030, 269, 634, 5207, 4829, 2597, 829, 2030, 729, 3812, 538, 519, 2126, 476, 1428, 16720, 700, 268, 272, 1216, 630, 327, 274, 264, 12077, 476, 14444, 267, 1839, 575, 7693, 268, 272, 267, 543, 519, 9803, 729, 835, 729, 3812, 538, 519, 1510, 6915, 325, 23459, 9088, 630, 327, 271, 1070, 12077, 476, 12553, 267, 4037, 575, 7693, 268, 272, 282, 543, 630, 274, 264, 972, 568, 606, 5872, 1063, 519, 2126, 540, 1979, 665, 11857, 18168, 543, 6915, 325, 23459, 9088, 593, 519, 2030, 4463, 693, 519, 2085, 540, 476, 736, 267, 476, 2412, 543, 476, 2568, 2395, 1310, 9544, 563, 275, 269, 21694, 15783, 540, 808, 12000, 2044, 12752, 281, 589, 8865, 5530, 454, 20082, 268, 808, 12000, 2044, 6080, 616, 835, 540, 519, 989, 13681, 1078, 32119, 9922, 538, 3127, 269, 808, 12000, 2044, 2504, 3322, 10868, 540, 10433, 689, 519, 10931, 2117, 2033, 543, 8022, 621, 547, 3489, 513, 13404, 1775, 4318, 269, 808, 1375, 2044, 610, 717, 584, 269, 590, 1872, 2117, 2033, 9126, 21692, 543, 3574, 616, 1031, 607, 4492, 538, 519, 8022, 19460, 267, 799, 568, 519, 1292, 2707, 540, 5533, 269, 634, 5533, 1761, 540, 519, 808, 12000, 2044, 6080, 729, 12290, 538, 519, 1459, 960, 602, 568, 1759, 593, 519, 4890, 7403, 693, 808, 12000, 2044, 2872, 4609, 269, 5565, 11347, 808, 12000, 2044, 6080, 941, 4857, 585, 2143, 2361, 2090, 1519, 519, 10518, 12998, 5464, 269, 2755, 8939, 519, 11347, 6080, 267, 519, 2504, 4390, 543, 14074, 540, 5434, 5464, 941, 2808, 269, 12763, 906, 941, 5645, 538, 2463, 28634, 6927, 267, 521, 592, 11037, 8166, 267, 27911, 540, 9436, 543, 3327, 24785, 269, 634, 28634, 2339, 5434, 941, 4767, 607, 476, 4037, 272, 269, 276, 8406, 21610, 332, 274, 538, 835, 2872, 543, 476, 6924, 273, 269, 276, 8406, 21610, 332, 274, 538, 824, 2872, 269, 898, 729, 849, 7074, 602, 519, 12998, 540, 31529, 14107, 12077, 267, 20962, 584, 8166, 267, 27911, 540, 9436, 543, 3327, 24785, 689, 1312, 519, 6080, 941, 1970, 563, 276, 269, 21290, 543, 5983, 26511, 585, 16581, 13870, 1107, 5253, 9274, 538, 3127, 454, 20082, 268, 5253, 9274, 616, 16916, 538, 1114, 17114, 538, 1114, 2694, 540, 3127, 4470, 2390, 922, 8515, 543, 5186, 6137, 4806, 269, 898, 568, 849, 3730, 547, 917, 519, 1858, 267, 2504, 543, 6556, 3928, 540, 1426, 9274, 6738, 2066, 519, 2197, 936, 519, 1296, 543, 547, 3589, 519, 2104, 2773, 540, 891, 1426, 9274, 676, 3246, 5078, 20925, 2409, 269, 634, 1239, 3823, 2504, 540, 1426, 9274, 585, 519, 1974, 689, 476, 4198, 271, 547, 476, 1708, 272, 568, 547, 581, 9916, 676, 7311, 20925, 1505, 269, 16792, 519, 5001, 7608, 13340, 11219, 523, 9469, 1505, 1131, 581, 513, 5078, 1907, 585, 20925, 519, 2773, 540, 1426, 9274, 538, 3127, 269, 634, 1353, 786, 5401, 519, 2229, 547, 1491, 3617, 543, 2556, 3609, 3800, 547, 2844, 543, 10654, 519, 11385, 908, 2773, 540, 1426, 9274, 538, 3127, 543, 1491, 2556, 3268, 547, 3986, 922, 2949, 2773, 563, 277, 269, 9208, 1436, 540, 2349, 2105, 8293, 1662, 1210, 14465, 3570, 28342, 739, 655, 590, 777, 609, 631, 24546, 267, 14466, 11535, 543, 1325, 4141, 966, 5028, 454, 288, 18308, 281, 25362, 24229, 715, 645, 267, 2677, 2967, 15616, 4048, 267, 2904, 8643, 808, 559, 523, 267, 13225, 639, 541, 5417, 328, 30410, 5984, 454, 20082, 268, 634, 1459, 7634, 13886, 968, 24092, 1436, 540, 20762, 23601, 1210, 19337, 15554, 739, 655, 18682, 609, 27335, 267, 13099, 11535, 543, 1325, 4141, 2357, 320, 892, 729, 5645, 609, 476, 1556, 5574, 2059, 609, 1114, 16471, 10659, 540, 19337, 15554, 739, 655, 18682, 281, 27335, 281, 13099, 11535, 281, 1325, 4141, 2357, 320, 630, 307, 272, 268, 4037, 281, 271, 281, 1839, 281, 271, 267, 570, 273, 268, 4037, 281, 271, 281, 736, 281, 276, 267, 570, 274, 268, 4037, 281, 276, 281, 736, 281, 271, 267, 570, 275, 268, 4037, 281, 276, 281, 1428, 281, 276, 267, 570, 276, 268, 4037, 281, 1015, 281, 1428, 281, 271, 267, 570, 277, 268, 4037, 281, 1015, 281, 1015, 281, 276, 267, 570, 278, 268, 4037, 281, 1428, 281, 1015, 281, 271, 267, 570, 279, 268, 4037, 281, 1428, 281, 276, 281, 276, 267, 570, 280, 268, 4037, 281, 736, 281, 276, 281, 271, 267, 570, 1015, 268, 4037, 281, 736, 281, 271, 281, 276, 267, 570, 1556, 268, 4037, 281, 1839, 281, 271, 281, 271, 267, 1040, 634, 5423, 20762, 23601, 729, 4904, 538, 27946, 14569, 543, 6740, 693, 4055, 2837, 909, 547, 476, 277, 3275, 269, 11906, 6724, 899, 2698, 19729, 17571, 630, 4113, 289, 3700, 1070, 5707, 571, 1076, 23639, 630, 15992, 2698, 14836, 630, 15992, 4227, 14836, 630, 15992, 11950, 630, 15992, 5946, 630, 8472, 2073, 4401, 630, 16936, 270, 1911, 16720, 1070, 11379, 630, 16936, 270, 1911, 16720, 1070, 2698, 4307, 11169, 630, 16936, 270, 1911, 16720, 1070, 1608, 528, 881, 1871, 630, 298, 5632, 270, 1911, 16720, 1070, 16061, 21307, 582, 2940, 630, 16936, 270, 1911, 16720, 264, 543, 15451, 6724, 941, 6592, 693, 3355, 267, 476, 273, 267, 476, 275, 543, 476, 277, 3275, 540, 4859, 269, 634, 2164, 941, 19250, 21845, 1210, 4625, 19747, 1374, 609, 476, 274, 10221, 1431, 269, 3245, 519, 17634, 621, 729, 7000, 602, 267, 519, 570, 7704, 267, 5707, 571, 1076, 23639, 267, 2698, 14836, 267, 4227, 14836, 4951, 2810, 7678, 543, 11950, 267, 5946, 267, 4401, 267, 11379, 267, 2698, 4307, 11169, 267, 1608, 528, 881, 1871, 267, 16061, 21307, 582, 2940, 4951, 13302, 7678, 909, 547, 476, 277, 3275, 4859, 540, 20762, 23601, 543, 1100, 15451, 2208, 729, 4767, 1282, 476, 277, 3275, 4859, 1974, 269, 11778, 7000, 602, 267, 1655, 2298, 20762, 23601, 609, 7123, 9422, 2298, 666, 581, 5423, 1210, 476, 4037, 829, 1298, 19337, 15554, 739, 655, 18682, 267, 476, 1015, 829, 1298, 27335, 17870, 267, 476, 1015, 829, 1298, 13099, 11535, 17870, 543, 476, 276, 829, 1298, 1325, 4141, 2357, 320, 10433, 269, 4935, 267, 519, 2919, 2029, 666, 581, 20749, 8268, 676, 519, 1426, 21932, 585, 2504, 540, 2298, 20762, 23601, 269, 4475, 267, 621, 786, 581, 5363, 585, 19311, 13345, 540, 19337, 15554, 739, 655, 543, 849, 2337, 538, 1646, 540, 1114, 1871, 3773, 2472, 563, 278, 269, 11485, 25334, 2225, 540, 1773, 2033, 4054, 538, 932, 1695, 5953, 337, 645, 5953, 724, 2806, 321, 14515, 9335, 540, 1772, 325, 25301, 454, 20082, 268, 19029, 616, 835, 540, 519, 1034, 2565, 10832, 538, 3039, 2230, 543, 4683, 26216, 4058, 269, 18833, 1344, 827, 8265, 4054, 568, 540, 14063, 2956, 585, 1697, 4058, 543, 2359, 269, 7102, 8919, 602, 3123, 4054, 547, 581, 13818, 666, 1267, 538, 12178, 547, 3425, 543, 6472, 269, 1280, 713, 2601, 267, 12007, 543, 11050, 2934, 543, 519, 1981, 1761, 540, 31970, 1773, 2033, 630, 5522, 27979, 639, 7259, 23653, 700, 4700, 4054, 593, 1312, 5011, 540, 932, 1695, 5953, 337, 2806, 321, 14515, 9335, 543, 851, 540, 932, 1695, 5953, 337, 645, 5953, 724, 623, 2801, 523, 9335, 267, 1772, 325, 25301, 267, 941, 11567, 1210, 519, 1448, 17464, 4167, 1505, 609, 513, 4351, 4358, 1448, 269, 11778, 4951, 602, 1079, 7355, 540, 11539, 689, 513, 7299, 2990, 630, 7830, 8472, 543, 3597, 2042, 630, 4510, 8472, 723, 519, 6574, 9295, 547, 9651, 5137, 269, 590, 4869, 344, 31644, 2600, 540, 23500, 4054, 941, 9286, 607, 1360, 1970, 16151, 4054, 269, 1635, 8939, 519, 1034, 5078, 3529, 2249, 267, 2921, 15324, 3800, 1991, 547, 519, 11841, 267, 543, 7311, 1697, 2359, 2553, 267, 649, 666, 2057, 519, 10898, 540, 891, 4054, 547, 513, 1804, 6708, 563, 279, 269, 20556, 1063, 32587, 21580, 12541, 543, 29530, 268, 32587, 15644, 6081, 2637, 525, 609, 519, 22447, 10866, 3004, 1080, 543, 590, 11703, 8426, 4032, 338, 538, 9061, 321, 1042, 667, 8543, 595, 4490, 2637, 8040, 454, 288, 18308, 281, 12253, 269, 22008, 269, 20579, 4472, 267, 9478, 269, 744, 269, 28044, 685, 320, 267, 21984, 569, 1338, 269, 595, 269, 5975, 339, 267, 2549, 4157, 600, 7699, 269, 594, 269, 17939, 770, 1014, 267, 19468, 29029, 269, 654, 269, 7557, 4275, 267, 11709, 269, 1627, 269, 623, 778, 334, 454, 20082, 268, 32587, 21580, 12541, 630, 299, 307, 293, 264, 543, 29530, 2000, 716, 15644, 6081, 630, 13993, 294, 264, 616, 1079, 1713, 11134, 6090, 1634, 547, 12314, 609, 5144, 2298, 7592, 607, 1134, 30717, 1591, 1293, 630, 306, 6717, 1040, 769, 713, 1353, 267, 519, 703, 1258, 476, 274, 540, 32587, 21580, 12541, 543, 513, 3148, 1063, 608, 517, 476, 275, 543, 703, 1258, 476, 275, 540, 19154, 294, 941, 6074, 585, 1024, 19685, 609, 741, 3347, 609, 5144, 2298, 16023, 543, 590, 6717, 269, 11778, 540, 19738, 7304, 293, 10861, 723, 3254, 1896, 3604, 1851, 1024, 8040, 540, 1312, 14915, 21580, 12541, 543, 12498, 14915, 15644, 6081, 6090, 269, 901, 1353, 2982, 21191, 729, 1713, 630, 303, 283, 271, 269, 4962, 264, 2539, 982, 9474, 543, 29851, 267, 1247, 607, 29851, 29294, 729, 3648, 1114, 693, 630, 303, 283, 271, 269, 4962, 264, 540, 12498, 14915, 15644, 6081, 5444, 729, 1164, 982, 21191, 543, 9474, 1024, 8040, 269, 634, 1024, 8040, 21191, 543, 9474, 538, 700, 307, 293, 543, 21191, 543, 29851, 538, 19154, 294, 616, 5078, 585, 5542, 540, 5144, 2298, 269, 1717, 267, 29851, 538, 700, 307, 293, 543, 9474, 538, 19154, 294, 723, 3254, 11259, 15958, 4345, 1851, 1024, 8040, 540, 3444, 321, 1042, 10683, 16933, 269, 32587, 21580, 12541, 1024, 8040, 538, 7681, 609, 590, 6717, 267, 590, 5425, 543, 22447, 6556, 941, 3648, 3604, 693, 476, 276, 260, 630, 303, 283, 271, 269, 4962, 1040, 634, 1353, 8761, 5144, 11729, 941, 1164, 1851, 782, 1024, 8040, 269, 589, 903, 10921, 3444, 1185, 519, 5207, 538, 21191, 29294, 267, 4553, 676, 9474, 543, 519, 2547, 6592, 538, 29851, 29294, 269, 2871, 1716, 8124, 1185, 519, 5207, 5144, 6556, 538, 9474, 29294, 543, 1970, 538, 1312, 21191, 543, 29851, 1024, 8040, 269, 1703, 941, 12205, 1063, 590, 6717, 543, 590, 5425, 674, 1845, 1014, 1185, 1164, 540, 1377, 540, 590, 6717, 543, 590, 5425, 538, 21191, 543, 29851, 1024, 8040, 543, 9474, 29294, 729, 1970, 269, 2871, 1716, 8124, 3444, 1185, 1164, 1377, 590, 6717, 543, 590, 6717, 538, 21191, 543, 9474, 1024, 8040, 543, 1970, 538, 29851, 29294, 269, 1656, 267, 589, 903, 10921, 1185, 1164, 1377, 540, 590, 6717, 543, 590, 5425, 538, 21191, 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 ]
[ 698, 3022, 11147, 11251, 883, 513, 1617, 4593, 1446, 8739, 268, 1815, 1670, 3060, 269, 1284, 4019, 713, 1935, 547, 476, 1626, 2013, 1353, 4609, 538, 2342, 1210, 513, 1514, 2923, 6538, 630, 293, 5585, 337, 264, 5627, 811, 982, 476, 5611, 267, 1822, 24019, 543, 9286, 11147, 269, 2991, 10442, 519, 2099, 520, 4369, 540, 519, 3060, 267, 649, 8495, 519, 1764, 540, 8436, 685, 5169, 593, 519, 3892, 540, 8739, 268, 1815, 1670, 4205, 693, 1114, 10253, 269, 3689, 693, 513, 2518, 4336, 267, 649, 1020, 513, 8901, 2268, 540, 4482, 4369, 543, 946, 713, 547, 2697, 2185, 2516, 540, 4609, 269, 3973, 267, 693, 513, 2199, 4336, 267, 649, 2263, 875, 519, 3845, 14612, 676, 519, 3755, 547, 3914, 513, 3135, 5540, 519, 1259, 789, 2170, 609, 713, 3135, 538, 2230, 543, 942, 269, 634, 1935, 2919, 1934, 267, 10128, 1514, 2923, 1239, 883, 513, 3060, 2861, 5943, 267, 3091, 513, 1007, 1259, 540, 3308, 1944, 543, 9781, 4205, 1063, 3425, 543, 8916, 269, 11778, 1683, 3407, 4030, 585, 1620, 3347, 1063, 1514, 7569, 585, 595, 2464, 543, 519, 4025, 540, 741, 20185, 267, 3976, 3850, 585, 519, 1646, 540, 811, 3608, 5726, 543, 4058, 2994, 563, 290, 2787, 281, 22255, 768, 663, 631, 267, 13198, 4302, 590, 267, 700, 1052, 1889, 9807, 808, 267, 14210, 699, 25651, 623, 267, 2098, 592, 1014, 717, 267, 589, 531, 10249, 594, 267, 1696, 620, 269, 630, 1001, 279, 264, 5564, 4593, 1446, 8739, 268, 1815, 1670, 5121, 538, 519, 2085, 540, 1344, 269, 12813, 24382, 21450, 476, 1724, 263, 1556, 2567, 552, 22903, 5780, 278, 273, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 15389, 272, 10768, 16067, 4877, 821, 269, 22903, 5780, 278, 273, 454, 29394, 281, 20182, 717, 4902, 321, 1676, 267, 2160, 540, 2098, 584, 747, 267, 17335, 3951, 313, 2207, 299, 13263, 454, 3725, 18727, 281, 4873, 476, 1428, 267, 476, 1001, 279, 282, 20504, 539, 281, 5239, 476, 1704, 267, 476, 1001, 279, 282, 15618, 281, 5437, 476, 272, 267, 476, 1001, 279, 454, 15648, 281, 9736, 476, 1001, 279, 22255, 768, 663, 1696, 620, 269, 901, 568, 606, 1930, 1569, 2376, 7856, 896, 519, 2474, 540, 519, 11300, 12780, 21922, 17821, 267, 799, 14998, 19727, 24071, 946, 267, 3892, 267, 543, 12093, 538, 1022, 5420, 267, 3177, 519, 3312, 2278, 543, 2707, 616, 20295, 563, 10574, 2997, 22355, 281, 2353, 4143, 1239, 602, 1489, 519, 4681, 540, 713, 1353, 616, 2139, 538, 8431, 3333, 732, 609, 519, 20396, 476, 1015, 269, 2568, 279, 275, 8276, 280, 8807, 580, 3333, 732, 269, 3583, 279, 28760, 273, 563, 293, 27448, 281, 901, 8313, 814, 1044, 14102, 676, 519, 9338, 9898, 9539, 564, 3060, 998, 519, 9338, 9898, 9539, 564, 4400, 8177, 11059, 1982, 269, 901, 1353, 729, 13148, 6462, 676, 519, 674, 303, 278, 7046, 26614, 1788, 630, 326, 7949, 6876, 476, 28143, 275, 2764, 1040, 16066, 7064, 519, 3943, 2817, 3194, 10837, 585, 922, 2883, 1489, 630, 2889, 915, 4880, 21798, 267, 4888, 305, 268, 1704, 4211, 292, 6734, 268, 1822, 274, 9886, 1916, 4467, 7065, 532, 4690, 281, 634, 4589, 723, 10294, 602, 1100, 12721, 4690, 2291, 563, 2026, 8436, 685, 14422, 543, 4616, 3270, 11457, 267, 1004, 616, 21409, 811, 4749, 267, 2417, 2476, 689, 1753, 267, 543, 538, 3152, 2338, 1547, 4658, 2170, 609, 519, 10278, 4609, 267, 7133, 8916, 267, 7239, 543, 2298, 540, 1272, 269, 9747, 267, 891, 2487, 4657, 10688, 3270, 1930, 909, 1007, 2591, 538, 1620, 6937, 543, 10148, 547, 519, 1604, 269, 2274, 15370, 610, 9235, 2238, 1860, 4872, 543, 741, 10450, 267, 607, 1134, 607, 6552, 2067, 2127, 267, 998, 519, 1764, 540, 2951, 5322, 543, 519, 4527, 540, 1004, 1496, 273, 267, 476, 274, 4940, 17502, 1470, 268, 1815, 1670, 4205, 5352, 267, 538, 2490, 267, 2686, 5117, 2533, 630, 290, 2464, 264, 543, 22228, 2418, 267, 16046, 1004, 543, 8134, 3842, 15889, 543, 30608, 3347, 1547, 6250, 6002, 1847, 2687, 547, 2123, 7375, 267, 1419, 6766, 676, 519, 4482, 4369, 540, 606, 1858, 269, 1677, 2744, 606, 1620, 540, 21233, 3270, 543, 875, 3425, 2170, 609, 741, 1604, 267, 621, 568, 1898, 547, 22738, 513, 11455, 1935, 547, 8739, 268, 1815, 1670, 1949, 267, 676, 2519, 593, 519, 1114, 3334, 540, 519, 1062, 543, 519, 1259, 789, 2170, 609, 1142, 824, 269, 17738, 540, 8901, 1894, 1063, 595, 2464, 20185, 2127, 543, 18689, 25808, 1759, 593, 12170, 1239, 616, 2877, 547, 771, 550, 4120, 22524, 2570, 4293, 1063, 1514, 543, 8733, 1949, 693, 513, 1164, 22883, 1470, 2389, 32294, 6571, 563, 288, 9621, 1935, 568, 547, 2015, 8739, 268, 1815, 1670, 1949, 607, 5121, 1547, 11569, 267, 2470, 2861, 4205, 666, 581, 6719, 607, 513, 8901, 3060, 476, 602, 3091, 513, 1259, 540, 3308, 1944, 543, 7421, 1617, 4593, 1446, 22883, 1470, 2389, 32294, 595, 2464, 7569, 5532, 547, 513, 1880, 3135, 269, 1717, 267, 519, 3668, 540, 1239, 4564, 606, 1271, 20159, 585, 519, 9781, 540, 595, 2464, 6932, 689, 8739, 268, 1815, 1670, 4205, 3226, 693, 513, 2518, 4336, 269, 12465, 1239, 2959, 971, 607, 14829, 610, 12220, 2356, 3111, 693, 11837, 1480, 2551, 6384, 1282, 3871, 538, 799, 2143, 22883, 1470, 2389, 32294, 1344, 568, 2838, 2073, 607, 538, 519, 2079, 540, 1367, 1480, 22883, 1470, 2389, 32294, 24551, 269, 23559, 3457, 971, 607, 5985, 11436, 616, 1631, 4922, 3015, 543, 5352, 513, 1804, 7274, 540, 1164, 6571, 22883, 1470, 2389, 32294, 1344, 593, 1367, 1480, 10688, 3270, 1496, 279, 1700, 1321, 4940, 634, 10727, 543, 519, 6111, 540, 891, 1007, 1239, 2959, 723, 1044, 703, 13208, 11117, 538, 2487, 1296, 267, 16113, 676, 9236, 10688, 1344, 13939, 689, 23559, 1239, 543, 811, 2757, 1239, 2959, 1496, 278, 267, 476, 1724, 1700, 1428, 4940, 7324, 891, 1007, 1239, 2959, 267, 540, 1880, 1719, 568, 2520, 582, 698, 3022, 1344, 3812, 3842, 1514, 2923, 602, 814, 1044, 5051, 1031, 538, 1082, 3621, 4610, 547, 1353, 1480, 10688, 3270, 1547, 7324, 519, 1034, 2442, 267, 12108, 1239, 814, 1044, 4922, 1031, 538, 1620, 1514, 5121, 1496, 1626, 1700, 1240, 316, 543, 875, 1004, 2170, 609, 519, 3710, 1604, 1496, 1556, 267, 476, 1691, 267, 476, 866, 267, 476, 736, 4940, 4578, 27366, 689, 519, 674, 5585, 337, 8666, 6879, 2130, 3760, 723, 1044, 16113, 1031, 585, 519, 8446, 540, 3755, 685, 1753, 6753, 476, 543, 519, 20592, 540, 1367, 1480, 10688, 3270, 1547, 11048, 267, 891, 2090, 2356, 1445, 593, 519, 1259, 1004, 2170, 609, 1142, 824, 543, 609, 741, 1604, 538, 4683, 1949, 269, 2859, 5063, 267, 519, 3059, 15244, 602, 649, 4734, 1247, 9683, 4663, 2065, 543, 2067, 5624, 723, 849, 8329, 547, 519, 4879, 540, 2686, 5117, 2533, 1496, 274, 267, 476, 2537, 1700, 2918, 3910, 519, 6482, 540, 5251, 2418, 1496, 2767, 267, 476, 2764, 3910, 519, 4482, 4369, 540, 15805, 4609, 1496, 3066, 1700, 4029, 316, 543, 519, 5464, 540, 8436, 538, 6870, 2127, 1496, 273, 267, 476, 3953, 267, 476, 3451, 4940, 1452, 2090, 2099, 513, 2629, 1900, 2509, 513, 1732, 1620, 540, 4205, 1063, 1004, 543, 8733, 1949, 267, 998, 16837, 610, 9235, 2238, 267, 855, 789, 2356, 1445, 1152, 593, 519, 4527, 540, 2043, 593, 513, 3135, 267, 543, 798, 711, 12799, 1491, 883, 2272, 519, 8901, 6935, 1063, 3425, 543, 2470, 602, 896, 15533, 6225, 8739, 268, 1815, 1670, 4205, 538, 2198, 267, 6862, 1344, 827, 519, 2043, 602, 3643, 513, 3135, 563, 763, 2832, 540, 713, 1957, 568, 547, 2263, 519, 1761, 540, 674, 5585, 337, 1239, 585, 519, 1353, 540, 8739, 268, 1815, 1670, 4205, 269, 634, 13057, 2856, 568, 602, 4205, 1063, 2043, 543, 8733, 1949, 666, 581, 3308, 1242, 543, 24018, 1210, 2520, 582, 698, 3022, 11147, 689, 519, 674, 5585, 337, 8666, 6879, 2130, 3760, 11251, 538, 513, 1617, 4593, 1446, 8739, 268, 1815, 1670, 3060, 269, 9122, 593, 811, 982, 476, 5611, 267, 476, 1822, 6337, 3144, 538, 476, 1626, 1353, 4609, 2066, 2342, 267, 713, 1353, 12116, 519, 1761, 540, 519, 3059, 15244, 602, 649, 4734, 1247, 9683, 2067, 4609, 547, 7561, 2099, 8739, 268, 1815, 1670, 4205, 693, 1114, 10253, 563, 15761, 24219, 513, 1617, 4593, 1446, 8739, 268, 1815, 1670, 3060, 689, 1514, 2923, 1239, 454, 306, 665, 1470, 268, 1815, 1670, 4205, 723, 1044, 13939, 689, 513, 6538, 5627, 811, 982, 476, 5611, 267, 476, 1822, 11147, 3144, 1063, 476, 1220, 271, 543, 476, 1001, 278, 538, 476, 1626, 4609, 538, 2342, 630, 8993, 338, 476, 272, 543, 476, 273, 264, 543, 11540, 593, 519, 674, 5585, 337, 1514, 2923, 3760, 269, 3962, 8666, 568, 2520, 334, 2000, 5914, 1242, 630, 26245, 3363, 270, 14075, 3363, 10974, 1070, 942, 3613, 2086, 539, 543, 2404, 609, 513, 2189, 674, 5585, 337, 3593, 9517, 269, 769, 1931, 547, 2327, 602, 1152, 11147, 8204, 606, 5872, 1063, 606, 1367, 543, 513, 2067, 3135, 616, 2808, 267, 1142, 8666, 814, 1044, 16924, 24019, 543, 9286, 2687, 547, 519, 5251, 543, 519, 2534, 4857, 593, 519, 4605, 269, 1452, 24019, 11147, 723, 1044, 3144, 543, 11540, 593, 674, 5585, 337, 676, 476, 273, 267, 476, 4350, 6325, 3755, 4171, 1747, 540, 15335, 723, 1044, 4857, 1759, 593, 741, 674, 5585, 337, 15415, 1210, 476, 1911, 6398, 476, 1911, 5998, 273, 1158, 7470, 2281, 269, 6423, 519, 10049, 543, 2409, 3296, 585, 811, 3877, 269, 1284, 5581, 513, 8739, 268, 1815, 1670, 5872, 607, 519, 4527, 540, 513, 674, 5585, 337, 3593, 538, 835, 540, 519, 476, 1626, 4609, 1282, 513, 2016, 942, 6885, 269, 634, 2043, 616, 6353, 676, 741, 1747, 540, 15335, 269, 634, 8733, 1949, 616, 6719, 676, 513, 10923, 4087, 693, 1114, 10253, 269, 5565, 10253, 616, 2808, 267, 513, 2518, 4336, 630, 1626, 3864, 4609, 264, 543, 513, 2199, 835, 1141, 1169, 3135, 814, 1044, 5258, 538, 10851, 1210, 476, 4335, 6398, 476, 4335, 544, 273, 7470, 2281, 269, 769, 2259, 267, 606, 5872, 568, 6719, 676, 835, 610, 1896, 6337, 3144, 676, 513, 3593, 538, 513, 7470, 1591, 1282, 513, 2016, 5662, 269, 8074, 602, 952, 1896, 6337, 616, 3144, 1282, 606, 5872, 267, 519, 1114, 2010, 540, 4205, 630, 4133, 7870, 543, 2238, 264, 4857, 593, 519, 6337, 616, 10015, 730, 269, 634, 4611, 3060, 568, 7768, 540, 476, 278, 267, 476, 30500, 8739, 268, 1815, 1670, 4205, 16046, 476, 18458, 3982, 4025, 540, 15335, 782, 936, 519, 1158, 547, 476, 274, 267, 476, 275, 1240, 7470, 2281, 4092, 538, 476, 1626, 1353, 4609, 269, 589, 8901, 6041, 540, 519, 3060, 693, 513, 2518, 4336, 568, 10268, 538, 8431, 476, 273, 563, 24066, 6672, 540, 519, 3060, 779, 2099, 520, 4369, 454, 6124, 1239, 2959, 971, 607, 674, 5585, 337, 1239, 723, 519, 1390, 5413, 540, 1373, 2518, 267, 538, 4334, 609, 12220, 543, 14829, 1239, 5473, 2356, 1152, 835, 2197, 610, 693, 1034, 1152, 513, 1906, 2477, 269, 769, 2132, 267, 789, 2097, 609, 1896, 12886, 2404, 609, 519, 3668, 540, 1344, 3823, 519, 3755, 685, 1124, 1675, 655, 4919, 4162, 269, 769, 1931, 547, 2445, 811, 1344, 827, 938, 3732, 649, 8850, 2366, 513, 18102, 547, 519, 476, 273, 267, 476, 4350, 6325, 3755, 540, 938, 19345, 6538, 998, 519, 5137, 540, 513, 674, 5585, 337, 1895, 269, 1284, 5833, 513, 3210, 2557, 540, 476, 1556, 10065, 8431, 476, 274, 2982, 930, 10855, 7194, 827, 519, 17013, 2687, 547, 741, 8739, 24683, 4919, 4162, 269, 1284, 4063, 602, 2367, 2099, 827, 1079, 555, 8674, 540, 519, 17013, 269, 1703, 616, 849, 1360, 1906, 1762, 1004, 267, 519, 17013, 941, 2392, 7631, 1836, 4648, 269, 1635, 6998, 519, 17013, 547, 1683, 721, 609, 741, 23407, 13892, 543, 2197, 540, 15335, 267, 713, 5619, 6462, 519, 8446, 540, 519, 3593, 779, 1747, 540, 15335, 1759, 593, 519, 674, 5585, 337, 15415, 630, 3467, 3877, 2139, 538, 519, 10049, 543, 2409, 3296, 543, 538, 519, 590, 272, 11711, 1040, 634, 2949, 6876, 568, 1434, 281, 538, 476, 3445, 2600, 540, 2665, 267, 519, 4087, 9411, 538, 519, 18102, 568, 4092, 1369, 519, 476, 1911, 6398, 476, 1911, 5998, 273, 1158, 7470, 1591, 9571, 609, 938, 5690, 563, 18455, 2111, 547, 2268, 11050, 569, 519, 4205, 1063, 513, 1880, 3135, 543, 519, 1964, 540, 519, 1158, 2636, 585, 519, 1646, 540, 4482, 4369, 10832, 602, 723, 1044, 2907, 6707, 4294, 547, 4872, 476, 610, 4663, 2065, 4609, 1496, 1789, 267, 476, 4029 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 281, 634, 2229, 781, 3375, 547, 23868, 9659, 5829, 2055, 689, 29458, 9391, 268, 277, 23304, 1841, 519, 521, 14184, 2551, 540, 7606, 609, 9124, 1775, 4318, 269, 1472, 476, 6924, 5186, 516, 1004, 2687, 547, 519, 476, 1001, 272, 17227, 563, 268, 7201, 3146, 335, 19948, 540, 24894, 281, 634, 17227, 1239, 6589, 585, 1152, 5722, 3989, 6688, 540, 9124, 267, 27195, 1896, 6688, 6444, 676, 519, 7126, 540, 31080, 609, 24894, 2920, 267, 476, 1001, 277, 630, 14641, 310, 6395, 1916, 268, 10598, 937, 540, 834, 1103, 6665, 1043, 24894, 9899, 634, 1445, 593, 7298, 9124, 6772, 23697, 834, 514, 6665, 1043, 9124, 2437, 1519, 2790, 1072, 2152, 267, 3056, 547, 16283, 6041, 543, 1620, 563, 27735, 540, 18043, 4578, 543, 13751, 13495, 919, 454, 268, 19043, 540, 4578, 14635, 281, 18043, 1239, 4015, 568, 2629, 585, 8236, 12655, 4886, 17644, 630, 16256, 19199, 264, 543, 735, 2391, 609, 519, 2136, 8315, 13482, 593, 519, 7126, 540, 31080, 609, 24894, 563, 268, 6554, 13786, 4850, 281, 590, 30708, 476, 1839, 267, 476, 2767, 267, 543, 476, 2764, 540, 681, 303, 310, 6395, 23626, 519, 2229, 547, 3895, 1382, 267, 25666, 14565, 267, 543, 2932, 12220, 547, 7668, 543, 16102, 7606, 609, 9124, 563, 268, 22078, 2316, 589, 599, 690, 781, 17496, 543, 29361, 538, 8889, 281, 4706, 1412, 25618, 344, 585, 1715, 3127, 7711, 476, 4037, 262, 26342, 519, 3668, 540, 2143, 1239, 585, 1106, 6819, 4507, 585, 7606, 609, 9124, 267, 2523, 1346, 609, 15865, 9124, 563, 268, 7323, 539, 31621, 281, 634, 17181, 540, 9659, 5829, 2055, 689, 29458, 9391, 268, 277, 568, 513, 14406, 4960, 547, 22740, 1125, 513, 3376, 5304, 543, 3895, 13784, 267, 6236, 519, 476, 10711, 271, 12676, 294, 21120, 540, 834, 8867, 3058, 1100, 835, 3297, 4799, 268, 7225, 2772, 2480, 337, 583, 4176, 543, 744, 951, 697, 281, 634, 3375, 781, 19765, 11582, 540, 3127, 781, 4332, 2557, 543, 15333, 3685, 540, 681, 303, 310, 6395, 781, 14074, 616, 896, 16324, 2689, 267, 10452, 519, 12402, 547, 936, 13678, 680, 1518, 9659, 2152, 563, 268, 12694, 585, 18776, 281, 744, 2466, 1154, 9659, 2055, 12651, 4145, 827, 2124, 326, 908, 9659, 2924, 547, 513, 6281, 4567, 267, 12042, 1359, 519, 3804, 540, 8537, 3356, 269, 0, 29587, 543, 966, 6018, 5516, 454, 23763, 547, 1451, 811, 827, 713, 693, 31509, 18146, 2657, 888, 2691, 519, 1101, 3762, 1376, 547, 2490, 543, 513, 3579, 30089, 1212, 10134, 883, 519, 10543, 2011, 938, 8186, 32603, 547, 11945, 16116, 267, 18720, 26055, 267, 543, 11176, 563, 19013, 267, 607, 649, 10950, 930, 540, 938, 2887, 29202, 649, 666, 849, 581, 28551, 824, 13311, 12119, 14538, 563, 293, 718, 568, 513, 6305, 942, 585, 1920, 4915, 11564, 269, 898, 3085, 1406, 2339, 1018, 2085, 596, 616, 267, 538, 519, 15489, 3275, 972, 11148, 547, 581, 513, 2489, 21782, 538, 930, 1455, 10108, 543, 22074, 563, 2171, 2461, 4687, 1614, 540, 519, 1034, 1455, 2887, 22074, 543, 2081, 547, 2061, 873, 865, 596, 543, 707, 1920, 666, 2972, 782, 540, 519, 6978, 24406, 9429, 543, 11945, 524, 3187, 707, 12271, 7287, 563, 268, 15917, 674, 1197, 281, 15917, 26055, 5749, 1406, 519, 1152, 22294, 540, 2887, 269, 15917, 8611, 267, 849, 1634, 607, 12119, 11959, 610, 28591, 4345, 267, 666, 21782, 538, 519, 2887, 269, 4460, 539, 676, 32125, 267, 28349, 543, 1216, 344, 4064, 267, 543, 513, 2196, 5500, 9224, 267, 5111, 476, 2412, 268, 2568, 2929, 4892, 7985, 689, 12119, 11959, 269, 17897, 531, 11959, 616, 15427, 676, 7244, 538, 606, 14711, 27351, 6748, 6219, 899, 4620, 546, 6387, 267, 7452, 267, 610, 14947, 689, 4054, 267, 6371, 267, 610, 18047, 269, 681, 698, 15634, 543, 9044, 616, 1079, 540, 519, 811, 1455, 12153, 538, 519, 2887, 563, 7312, 1655, 914, 693, 588, 3058, 1055, 12119, 11959, 568, 547, 2057, 4598, 547, 873, 269, 5901, 707, 9486, 6806, 543, 5957, 513, 9633, 950, 986, 6362, 3762, 269, 1403, 707, 2589, 616, 10770, 596, 666, 2911, 609, 707, 1920, 4915, 10629, 827, 4358, 606, 4550, 7290, 8533, 610, 1232, 784, 652, 656, 563, 268, 5871, 12019, 281, 12580, 540, 519, 1455, 4411, 1331, 11522, 267, 2196, 5500, 610, 8631, 344, 9224, 267, 15319, 11563, 267, 13581, 1560, 610, 14331, 267, 543, 513, 1970, 17263, 8611, 269, 12580, 2356, 2408, 476, 272, 268, 274, 2395, 1310, 4598, 547, 513, 3644, 269, 3509, 8290, 2014, 519, 1455, 4411, 855, 519, 28591, 21552, 568, 519, 1034, 11342, 563, 2691, 519, 4365, 6238, 547, 1205, 16830, 267, 1004, 6108, 811, 942, 3330, 543, 616, 538, 6251, 3346, 609, 835, 1776, 267, 2870, 513, 3152, 4316, 585, 8290, 547, 3262, 1851, 1004, 269, 589, 4411, 3644, 666, 4283, 519, 1560, 998, 519, 5023, 267, 9224, 267, 610, 4064, 269, 3680, 3346, 609, 1346, 945, 723, 519, 4411, 543, 13572, 3615, 269, 5213, 1406, 2671, 27022, 267, 14296, 267, 610, 824, 4749, 4371, 543, 1031, 3688, 269, 7053, 267, 11547, 707, 3946, 8499, 543, 5781, 547, 2061, 24931, 519, 3644, 563, 268, 12071, 281, 14118, 27833, 267, 849, 1634, 607, 519, 2770, 267, 568, 513, 12119, 7929, 3644, 10299, 5631, 676, 20256, 950, 7783, 1004, 11522, 267, 14229, 324, 2763, 267, 610, 2911, 543, 1866, 13236, 538, 519, 20256, 269, 634, 3644, 666, 849, 3262, 998, 3615, 602, 616, 3838, 899, 7450, 20362, 543, 3838, 27022, 899, 7674, 838, 9398, 269, 14118, 27833, 568, 6353, 676, 8611, 267, 669, 1571, 267, 15319, 11563, 267, 4887, 543, 1560, 31191, 267, 543, 9854, 563, 2005, 3335, 3217, 476, 272, 268, 275, 2395, 585, 2589, 547, 2408, 1310, 1373, 6534, 547, 519, 3644, 269, 12071, 4005, 3335, 8255, 5239, 1107, 4728, 269, 634, 1655, 2081, 547, 2061, 519, 2770, 616, 547, 1205, 513, 2770, 6669, 267, 2259, 1434, 1688, 2914, 4770, 543, 9882, 267, 543, 2057, 1346, 945, 723, 519, 2770, 3644, 269, 31509, 18146, 2657, 3091, 2770, 10074, 693, 782, 1920, 2259, 543, 12963, 6753, 563, 763, 3923, 781, 1034, 2442, 1072, 3377, 267, 2984, 267, 543, 4388, 538, 707, 28600, 2529, 793, 5455 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11342, 538, 2221, 779, 2486, 267, 972, 616, 824, 5095, 602, 3068, 6408, 1436, 563, 15703, 6411, 540, 14618, 723, 849, 1044, 3964, 547, 26193, 519, 2367, 864, 15054, 676, 519, 21568, 540, 5061, 543, 3617, 10751, 2016, 547, 1346, 3238, 563, 1103, 3932, 267, 4352, 6219, 6057, 814, 1831, 513, 2101, 1966, 538, 519, 2486, 267, 6405, 3268, 1058, 581, 3144, 547, 14020, 519, 3180, 593, 5061, 563, 19013, 267, 594, 28815, 6057, 543, 10714, 538, 1250, 6107, 563, 25187, 3427, 10749, 18816, 8342, 5500, 30365, 6168, 5675, 3194, 14430, 454, 1103, 1840, 547, 519, 3929, 6057, 267, 594, 8057, 909, 609, 606, 23931, 4651, 609, 8650, 4965, 543, 4160, 543, 513, 3993, 945, 11124, 689, 18624, 543, 849, 729, 14016, 908, 689, 513, 2250, 16028, 609, 1250, 4651, 16804, 15912, 281, 4132, 6057, 267, 18816, 267, 23582, 5208, 316, 910, 4132, 18816, 538, 3013, 634, 2360, 540, 1126, 6057, 666, 581, 1279, 9434, 610, 1256, 14603, 269, 3080, 3112, 535, 987, 558, 519, 2856, 540, 1946, 4896, 1131, 17543, 10413, 606, 17608, 1126, 269, 29012, 267, 898, 729, 711, 2635, 26164, 519, 10419, 783, 32626, 1063, 1250, 3993, 543, 4651, 267, 3976, 7506, 538, 1250, 2104, 2875, 2259, 540, 3318, 13508, 2807, 314, 15912, 281, 4132, 6057, 267, 16723, 6057, 316, 910, 4132, 6057, 568, 513, 1641, 1082, 1004, 2119, 547, 26777, 1317, 540, 519, 512, 17481, 2984, 543, 20887, 602, 616, 10924, 676, 1082, 21933, 643, 1190, 1004, 282, 2552, 7337, 6053, 267, 713, 1641, 6073, 1058, 581, 1945, 602, 1004, 1058, 13599, 2933, 538, 267, 543, 1058, 581, 3222, 602, 713, 568, 543, 14849, 6161, 267, 543, 1453, 616, 538, 26525, 991, 540, 5351, 269, 21609, 6057, 4523, 547, 1453, 540, 782, 6502, 267, 4008, 267, 543, 10764, 6993, 1867, 689, 519, 8189, 547, 26332, 3729, 4132, 18816, 543, 10598, 937, 674, 7614, 885, 2829, 267, 968, 9336, 1554, 267, 2185, 547, 5216, 1453, 538, 519, 2136, 2276, 5884, 689, 6057, 610, 10714, 693, 519, 3946, 540, 741, 3237, 610, 1416, 339, 5474, 892, 630, 1001, 277, 267, 533, 269, 4132, 631, 5306, 13015, 476, 1001, 275, 5359, 267, 538, 476, 1001, 275, 267, 606, 6059, 476, 272, 267, 276, 3199, 1453, 5747, 689, 6057, 543, 10714, 538, 519, 2136, 2276, 630, 335, 2807, 314, 15912, 281, 4132, 6057, 267, 10598, 937, 267, 18816, 316, 910, 4132, 6057, 568, 513, 11342, 1966, 602, 6818, 11451, 31422, 11847, 2176, 540, 1102, 4842, 728, 267, 4573, 7976, 267, 10205, 618, 543, 824, 3029, 540, 5208, 1996, 1453, 4266, 1394, 547, 3504, 12977, 892, 630, 13051, 1088, 267, 28039, 514, 31000, 1299, 7101, 321, 650, 267, 476, 1960, 278, 267, 30127, 269, 968, 32701, 267, 519, 3390, 1705, 711, 4309, 7839, 3007, 676, 519, 2564, 3924, 610, 519, 2489, 1857, 2394, 476, 3422, 273, 267, 609, 519, 8313, 540, 513, 25761, 960, 267, 634, 10599, 1229, 1126, 6794, 1848, 630, 298, 655, 701, 1696, 620, 1421, 476, 1960, 278, 267, 30127, 269, 1703, 616, 1082, 1114, 2010, 540, 1126, 6057, 282, 519, 2622, 2657, 9257, 630, 1960, 280, 264, 2829, 281, 4132, 6057, 610, 28915, 13015, 13054, 782, 3029, 540, 2168, 543, 5924, 3929, 2192, 2389, 13015, 267, 4638, 6057, 267, 10714, 610, 18621, 550, 2126, 610, 5010, 1862, 27802, 766, 6057, 267, 849, 1634, 607, 3075, 6057, 267, 568, 1360, 11342, 538, 1082, 2477, 6993, 3075, 568, 1022, 6219, 602, 1110, 5809, 519, 1560, 779, 3339, 8647, 269, 0, 2304, 4672, 2275, 1245, 20105, 540, 1216, 28447, 267, 18085, 531, 537, 701, 267, 610, 9932, 323, 1168, 593, 513, 3905, 4832, 1554, 666, 581, 24215, 24253, 269, 9253, 976, 616, 513, 1434, 3903, 585, 513, 6653, 1521, 952, 596, 2461, 8384, 707, 2597, 1317, 789, 723, 1164, 1216, 1543, 543, 616, 5266, 1970, 538, 8477, 630, 320, 835, 2275, 1575, 6712, 540, 546, 5367, 5283, 517, 3568, 1175, 827, 476, 3393, 547, 476, 2568, 8477, 1916, 12850, 28447, 814, 1896, 2609, 602, 723, 547, 4824, 2295, 1072, 269, 10370, 19817, 2940, 267, 585, 1383, 267, 568, 606, 15934, 602, 949, 948, 2539, 8501, 543, 1973, 2604, 269, 634, 824, 568, 3632, 337, 592, 1467, 267, 606, 11254, 3679, 602, 814, 2799, 6491, 878, 12547, 2157, 267, 513, 3114, 3254, 547, 6001, 1973, 8043, 543, 2539, 1973, 2604, 563, 1692, 666, 596, 917, 952, 513, 1216, 28447, 568, 22691, 286, 7316, 519, 5283, 517, 1964, 539, 593, 519, 3037, 267, 789, 4749, 723, 513, 12779, 3039, 610, 3043, 968, 4472, 323, 5544, 1848, 634, 5283, 517, 568, 22691, 950, 602, 1858, 7140, 513, 12779, 5835, 610, 8645, 512, 842, 269, 1744, 4176, 2960, 593, 606, 1799, 1155, 5283, 517, 2242, 547, 513, 2893, 514, 610, 1319, 974, 678, 785, 607, 519, 4829, 18009, 839, 269, 4340, 547, 519, 22340, 267, 555, 18804, 593, 519, 4829, 547, 6432, 585, 513, 759, 15929, 267, 5230, 555, 644, 3884, 1406, 606, 24215, 6325, 5650, 269, 0, 763, 1448, 540, 713, 1557, 568, 547, 6542, 513, 2620, 1620, 540, 519, 1641, 267, 519, 2702, 547, 1382, 267, 543, 621, 849, 2982, 513, 2875, 685, 521, 1761, 547, 5659, 1344, 689, 1114, 7285, 269, 6476, 543, 4334, 1079, 9954, 676, 519, 1482, 2278, 630, 1557, 3732, 264, 5528, 281, 1557, 1957, 267, 3483, 540, 713, 1957, 568, 547, 5635, 543, 4334, 1079, 9954, 676, 519, 1482, 2278, 267, 1592, 519, 10486, 543, 1114, 540, 519, 1079, 9954, 269, 519, 2278, 540, 519, 9954, 1590, 581, 606, 7819, 610, 7005, 1268, 269, 946, 693, 2547, 476, 275, 2959, 547, 1394, 909, 1344, 1031, 543, 269, 538, 713, 1557, 267, 1775, 4927, 20272, 543, 5635, 1079, 4550, 2112, 9954, 2854, 676, 27315, 15728, 7640, 523, 269, 789, 616, 834, 546, 592, 576, 1696, 7718, 636, 1609, 257, 543, 834, 16981, 2668, 834, 546, 592, 576, 1696, 7718, 636, 257, 1609, 568, 513, 1360, 3532, 543, 2500, 4550, 2112, 6648, 269, 519, 6648, 20186, 4395, 1899, 7980, 693, 519, 1439, 540, 513, 1360, 29882, 12732, 540, 10279, 269, 4647, 476, 276, 268, 2985, 1382, 1957, 593, 834, 5635, 543, 4334, 519, 1079, 9954, 257, 630, 3738, 29477, 502, 269, 676, 13275, 1025, 820, 3379, 543, 4334, 539, 563, 331, 4833, 543, 2497, 538, 6965, 519, 4853, 4838, 3357, 609, 20012, 543, 972, 729, 606, 2333, 538, 2551, 538, 269, 2328, 513, 2110, 1557, 630, 476, 1220, 1700, 476, 6110, 1913, 264, 9236, 519, 1079, 8747, 540, 519, 6648, 267, 6236, 519, 1739, 2055, 281, 875, 1281, 519, 11281, 540, 519, 6648, 1689, 267, 952, 693, 782, 267, 950, 621, 568, 4843, 538, 5152, 1106, 286, 1281, 519, 3312, 6648, 723, 513, 11281, 602, 561, 1742, 3294, 1134, 547, 5152, 18405, 286, 875, 267, 952, 693, 782, 267, 568, 519, 6648, 4957, 610, 4843, 8335, 607, 513, 5152, 286, 950, 1603, 513, 5635, 543, 4334, 1557, 267, 543, 1354, 596, 1205, 547, 519, 6476, 267, 2328, 513, 1906, 5220, 17548, 875, 789, 616, 1644, 543, 519, 2601, 1946, 519, 1079, 5396, 1058, 581, 3379, 269, 649, 723, 1500, 713, 2816, 4443, 585, 596, 543, 19040, 1114, 5635, 543, 4334, 1557, 3584, 602, 596, 666, 946, 547, 2328, 707, 2500, 1557, 269, 2328, 1018, 596, 1557, 610, 8726, 568, 827, 19838, 269, 952, 596, 616, 9236, 1079, 9954, 2161, 1945, 899, 281, 2429, 713, 1557, 267, 1775, 786, 581, 17548, 930, 16198, 1063, 1079, 1360, 1114, 543, 2189, 9954, 269, 585, 1383, 267, 596, 666, 5635, 1079, 3197, 538, 513, 3209, 281, 4849, 11735, 5635, 1079, 9954, 1557, 689, 17548, 519, 6654, 10486, 596, 1058, 849, 1445, 593, 741, 3604, 267, 3976, 13031, 930, 11029, 3877, 602, 2356, 9101, 519, 5467, 262, 521, 3007, 269, 5635, 543, 4334, 1557, 2497, 269, 519, 5635, 543, 4334, 1557, 2356, 3217, 1614, 3029, 281, 563, 1348, 519, 1079, 9954, 5402, 269, 1287, 267, 538, 513, 1134, 268, 2854, 1557, 267, 5635, 543, 4334, 519, 1079, 9954, 267, 2921, 883, 7156, 519, 19621, 2553, 1025, 820, 3096, 538, 1142, 269, 536, 9954, 281, 968, 2947, 513, 269, 9232, 630, 13275, 5234, 867, 264, 543, 968, 2947, 19426, 909, 892, 630, 1714, 9626, 24649, 264, 5401, 281, 5402, 1224, 519, 1079, 9954, 2630, 269, 1287, 538, 513, 1134, 268, 6896, 1557, 5635, 519, 269, 476, 278, 476, 1015, 23463, 476, 277, 2029, 476, 15996, 476, 6858, 267, 1079, 9236, 1383, 1557, 9954, 269, 538, 606, 6905, 5850, 3018, 476, 276, 891, 2038, 18362, 540, 1507, 1895, 540, 3173, 723, 1336, 2709, 1053, 3255, 585, 13710, 2853, 519, 771, 857, 268, 476, 276, 3184, 476, 272, 6902, 561, 12584, 5112, 269, 9236, 1079, 9954, 543, 824, 5686, 540, 4081, 4574, 538, 938, 3594, 6538, 693, 1082, 3594, 269, 17167, 1863, 281, 6902, 17167, 1863, 281, 6902, 1753, 282, 2533, 269, 23064, 15853, 269, 2376, 16472, 563, 22967, 1315, 9236, 1079, 9954, 269, 6965, 1557, 910, 9236, 1079, 9954, 910, 28168, 3044, 269, 1934, 568, 606, 12013, 541, 6965, 1557, 267, 693, 28168, 3044, 267, 799, 25189, 3592, 2407, 7436, 269, 519, 6965, 1557, 729, 2854, 676, 513, 2875, 630, 9907, 476, 1626, 264, 538, 269, 2429, 713, 3992, 267, 1775, 786, 946, 1079, 9954, 1775, 1419, 723, 1053, 5635, 269, 649, 786, 1413, 693, 519, 1079, 9954, 262, 3889, 267, 4798, 267, 18565, 267, 543, 10080, 540, 519, 4589, 547, 2203, 519, 3268, 547, 269, 649, 786, 2328, 513, 2688, 1557, 593, 5635, 519, 4606, 6829, 538, 891, 1079, 9954, 2048, 513, 14512, 685, 543, 2048, 3314, 685, 4481, 585, 596, 585, 1152, 1269, 476, 1626, 269, 476, 280, 270, 2985, 1931, 533, 732, 543, 4334, 1557, 593, 1079, 9954, 10464, 12819, 1557, 5830, 4609, 721, 5995, 777, 4214, 1557, 9375, 4609, 513, 31866, 777, 1557, 5856, 585, 16926, 575, 321, 23755, 4720, 8367, 1557, 3832, 777, 12031, 4367, 15293, 32392, 3135, 575, 321, 267, 3860, 5856, 585, 16926, 20410, 269, 10388, 1557, 3584, 3382, 4484, 3732, 11653, 7127, 1377, 267, 5635, 543, 269, 6435, 593, 1603, 513, 5098, 269, 1205, 606, 2626, 585, 1412, 5635, 543, 4334, 1079, 9954, 281, 834, 1775, 5873, 13314, 13465, 257, 676, 530, 5306, 17642, 2006, 543, 834, 1775, 267, 1932, 257, 676, 31423, 8725, 29751, 1127, 269, 1412, 543, 1265, 6780, 948, 585, 824, 1775, 267, 1932, 2055, 693, 1612, 532, 9954, 1114, 9954, 9029, 538, 1114, 2081, 543, 930, 616, 711, 2731, 13380, 563, 328, 723, 1044, 4280, 547, 2328, 606, 1557, 9236, 519, 1079, 9954, 513, 8914, 3529, 676, 13275, 1025, 820, 543, 596, 538, 10845, 676, 28642, 556, 324, 1407, 269, 616, 519, 1079, 9954, 596, 723, 547, 5635, 630, 1775, 1378, 547, 711, 2348, 1224, 2901, 264, 11589, 519, 1482, 4606, 267, 855, 8335, 286, 593, 519, 824, 1688, 267, 29751, 1127, 262, 6648, 834, 6249, 585, 7005, 536, 267, 834, 3096, 519, 1101, 268, 1268, 5639, 585, 606, 7357, 1114, 1198, 269, 538, 713, 6648, 267, 519, 834, 1775, 257, 568, 606, 1367, 2875, 269, 519, 6648, 568, 2854, 899, 513, 2239, 281, 834, 1775, 993, 8938, 268, 1079, 267, 11954, 267, 4535, 538, 3094, 8725, 268, 2892, 655, 257, 630, 476, 278, 1040, 7429, 519, 1101, 6648, 267, 834, 1775, 257, 568, 1031, 1934, 547, 598, 16694, 4222, 543, 13737, 640, 269, 596, 666, 3605, 513, 2603, 827, 513, 6648, 676, 9236, 621, 547, 835, 676, 1776, 10564, 602, 9388, 609, 513, 2147, 1641, 610, 814, 513, 2147, 6249, 269, 3206, 827, 1079, 9954, 543, 7114, 1141, 789, 8428, 543, 269, 538, 519, 28168, 9236, 9954, 1557, 1383, 267, 1775, 1131, 5635, 1079, 9954, 609, 519, 1482, 2012, 968, 519, 22445, 892, 941, 2813, 676, 1079, 16805, 15023, 540, 519, 476, 866, 628, 2540, 602, 262, 521, 1946, 1775, 723, 4956, 547, 946, 873, 538, 519, 28168, 9236, 9954, 1557, 1383, 563, 331, 1069, 2632, 990, 609, 513, 269, 9954, 281, 9236, 538, 713, 2542, 4976, 267, 707, 1126, 16137, 875, 547, 1413, 693, 519, 1893, 267, 2495, 267, 2497, 267, 543, 11707, 538, 6965, 676, 9236, 1079, 9954, 676, 519, 1482, 2278, 269, 5067, 6339, 5635, 543, 4334, 1557, 2648, 666, 581, 6829, 543, 4330, 538, 1082, 1114, 2081, 269, 12335, 319, 521, 5067, 26506, 968, 476, 14138, 892, 543, 968, 476, 1240, 892, 17854, 602, 2648, 814, 519, 2702, 547, 1711, 5393, 3532, 4606, 1063, 1079, 1004, 267, 799, 666, 948, 873, 3035, 519, 10700, 2631, 540, 8788, 269, 547, 602, 1439, 267, 950, 1004, 1995, 3020, 2648 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 971, 607, 8092, 5658, 16629, 3626, 595, 19281, 976, 780, 309, 269, 6997, 537, 322, 1877, 6396, 1107, 28981, 13809, 525, 10374, 692, 15563, 267, 2015, 8508, 519, 6997, 13224, 27056, 1062, 267, 799, 30211, 593, 5883, 2942, 9696, 3842, 7229, 20214, 6322, 693, 15558, 1154, 19017, 22907, 269, 4746, 1634, 607, 519, 23545, 566, 1505, 267, 713, 1935, 3340, 5171, 547, 7291, 513, 2688, 5311, 540, 2338, 4171, 2040, 1226, 919, 547, 519, 5497, 2121, 2744, 269, 4427, 2425, 550, 914, 5666, 5330, 547, 519, 2698, 6508, 689, 4946, 519, 2451, 2865, 543, 1318, 2865, 5515, 1369, 1767, 5311, 267, 609, 3811, 21448, 14874, 7222, 2418, 689, 2901, 1439, 269, 9701, 513, 2016, 8095, 1267, 538, 513, 2530, 267, 2705, 267, 519, 3355, 530, 4526, 2179, 4991, 813, 2105, 547, 519, 5311, 781, 1439, 267, 3976, 9750, 519, 6098, 2628, 719, 6662, 269, 6206, 3344, 540, 519, 6997, 13224, 27056, 1062, 7854, 1384, 272, 269, 4813, 3634, 513, 10531, 1297, 5044, 8204, 17053, 15271, 563, 273, 269, 14419, 519, 6679, 914, 1759, 593, 14919, 2040, 540, 3665, 9704, 563, 274, 269, 1403, 4619, 16124, 267, 2300, 1047, 8246, 27766, 689, 15852, 7475, 540, 519, 5832, 563, 275, 269, 16270, 6849, 14710, 267, 6451, 519, 4503, 530, 4526, 1871, 5196, 519, 5311, 781, 3932, 563, 276, 269, 6431, 626, 2394, 16180, 11280, 9072, 610, 2781, 2084, 2417, 7589, 780, 12024, 1022, 9836, 1935, 267, 519, 6997, 13224, 27056, 1505, 31433, 30190, 4199, 7245, 543, 22111, 9477, 267, 3226, 1282, 6905, 7886, 10483, 676, 21464, 25877, 15314, 899, 8092, 5658, 16629, 3626, 595, 19281, 976, 780, 9654, 269, 14271, 1120, 2065, 16949, 540, 11150, 543, 8871, 10899, 20644, 902, 692, 16352, 8268, 1585, 13193, 30592, 1949, 267, 649, 1631, 2490, 938, 3007, 4724, 32069, 6220, 891, 2553, 609, 29988, 30572, 17008, 971, 607, 8092, 5658, 16629, 3626, 595, 19281, 976, 269, 11569, 267, 23993, 1134, 3620, 19861, 2994, 609, 5402, 5697, 13755, 4926, 10597, 2949, 2773, 267, 4412, 2454, 18164, 12439, 547, 1007, 15627, 540, 9740, 269, 6333, 22876, 1005, 5360, 21747, 30809, 610, 6474, 16005, 13755, 4926, 6488, 539, 676, 8092, 5658, 16629, 3626, 595, 19281, 976, 267, 13604, 7311, 873, 17602, 1836, 609, 6074, 25919, 1949, 269, 1280, 3236, 267, 11766, 532, 1981, 6954, 30809, 593, 1256, 2173, 2292, 3981, 1431, 20690, 2740, 676, 32344, 2994, 3648, 7586, 5809, 4397, 4093, 267, 13321, 26740, 2842, 17517, 883, 5812, 12374, 269, 3958, 267, 12805, 16005, 25242, 24772, 4358, 21356, 267, 3172, 4328, 1761, 2640, 934, 29471, 2429, 2502, 25877, 9035, 780, 1103, 5758, 267, 17117, 540, 13193, 30592, 1949, 13745, 609, 5260, 11803, 14226, 540, 30572, 2285, 25498, 13054, 513, 23773, 4999, 5827, 540, 12419, 8101, 12587, 547, 1167, 518, 940, 29123, 269, 3414, 30190, 1353, 543, 3483, 995, 6388, 267, 596, 1932, 666, 12260, 6456, 16782, 1671, 935, 1027, 1369, 22644, 539, 5238, 971, 607, 8092, 5658, 16629, 16394, 267, 1612, 331, 11691, 9715, 1983, 883, 12300, 2833, 5309, 9822, 730, 676, 7928, 24984, 543, 15398, 9547, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 4462, 24286, 519, 7450, 547, 19539, 814, 2760, 1044, 811, 1303, 6005, 267, 7064, 547, 519, 7580, 946, 540, 8092, 5658, 16629, 3626, 595, 19281, 976, 269, 1452, 12600, 642, 537, 7129, 616, 711, 1175, 4773, 540, 1957, 282, 789, 616, 707, 11344, 19044, 547, 14178, 707, 10888, 1792, 752, 543, 21924, 519, 10761, 540, 707, 11080, 1995, 269, 2913, 779, 5490, 883, 519, 1158, 540, 8092, 5658, 16629, 3626, 595, 19281, 976, 543, 2263, 875, 789, 666, 21592, 707, 7045, 1369, 519, 6821, 540, 713, 11599, 10661, 563, 763, 5295, 540, 595, 19281, 976, 281, 2859, 20537, 3807, 5494, 870, 338, 454, 27455, 5658, 16629, 3626, 595, 19281, 976, 616, 711, 707, 3328, 14091, 508, 506, 423, 497, 506, 423, 356, 486, 425, 479, 361, 424, 373, 368, 424, 356, 478, 423, 483, 372, 424, 352, 376, 424, 484, 490, 10958, 1793, 2354, 282, 789, 616, 1379, 1790, 17977, 2645, 2966, 547, 3986, 707, 11080, 3460, 269, 3245, 22429, 17099, 547, 1863, 30809, 267, 891, 19420, 976, 1930, 909, 513, 1158, 540, 7399, 267, 3850, 596, 547, 2263, 513, 3099, 540, 3756, 1510, 7202, 532, 707, 23129, 269, 634, 26497, 540, 11080, 568, 14556, 1881, 950, 596, 917, 596, 723, 3063, 3255, 547, 10880, 621, 18822, 563, 25618, 545, 4414, 18277, 585, 26228, 8177, 454, 763, 1883, 547, 19713, 519, 2407, 1761, 540, 8092, 5658, 16629, 3626, 595, 19281, 976, 6013, 538, 1193, 622, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 305, 537, 30592, 7010, 543, 570, 716, 923, 257, 607, 851, 540, 834, 294, 4456, 2464, 1299, 8028, 2316, 9654, 25765, 1315, 32573, 1782, 1315, 7305, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 21781, 4338, 543, 4706, 10020, 538, 16373, 5463, 2888, 692, 296, 269, 4985, 692, 2026, 2344, 619, 267, 649, 616, 1419, 865, 5059, 593, 5870, 519, 2115, 543, 13821, 540, 938, 5561, 602, 649, 949, 26777, 519, 2956, 540, 4977, 2883, 8989, 269, 1717, 267, 13575, 20504, 539, 19098, 14362, 630, 16598, 4338, 264, 1404, 513, 2629, 1909, 538, 4180, 11413, 543, 12477, 538, 1870, 4238, 267, 799, 6038, 5222, 6725, 3646, 269, 901, 3184, 786, 2263, 519, 10167, 1063, 6725, 543, 8051, 3741, 267, 4481, 10223, 519, 4644, 540, 21781, 4338, 1369, 519, 2796, 540, 6725, 3375, 1818, 780, 2862, 269, 11137, 540, 21781, 4338, 692, 6524, 11362, 883, 519, 25727, 540, 875, 21781, 4338, 7506, 6725, 267, 1577, 781, 1101, 3715, 513, 4396, 5748, 540, 1620, 3823, 891, 4922, 7608, 8051, 4441, 269, 21781, 4338, 4016, 547, 513, 1305, 540, 3652, 267, 14908, 267, 543, 4808, 3964, 676, 519, 11038, 19098, 11621, 8274, 630, 293, 3008, 289, 1070, 2966, 547, 2327, 11007, 267, 9355, 267, 543, 4086, 1464, 2066, 2883, 6898, 269, 1452, 3741, 1683, 513, 5943, 585, 3906, 547, 1246, 950, 8600, 2883, 5359, 267, 7175, 8639, 971, 607, 9520, 267, 5491, 832, 267, 543, 9431, 4703, 547, 6218, 2773, 267, 2708, 1981, 267, 543, 1118, 5483, 3664, 1759, 2390, 13387, 1239, 780, 7656, 269, 6206, 22020, 540, 21781, 4338, 692, 4407, 972, 616, 3875, 3334, 540, 21781, 4338, 267, 1896, 1796, 856, 607, 3226, 4143, 547, 6725, 4648, 1384, 288, 269, 28521, 23779, 20232, 910, 901, 6240, 1754, 985, 950, 8907, 666, 581, 6444, 543, 4080, 593, 513, 2754, 781, 4747, 3948, 269, 1280, 1383, 267, 896, 21781, 4338, 267, 8907, 1058, 1152, 581, 6592, 2899, 513, 4579, 814, 1044, 24009, 267, 8569, 2474, 723, 1044, 13854, 267, 543, 2445, 2225, 568, 21230, 21407, 269, 4197, 713, 6240, 5849, 602, 6725, 6887, 798, 711, 4497, 538, 10728, 8907, 6284, 2853, 267, 7551, 4509, 5683, 2932, 2429, 519, 6455, 4783, 780, 289, 269, 7698, 640, 10417, 910, 4340, 547, 713, 1523, 267, 1022, 1344, 4843, 1369, 2883, 6898, 1590, 581, 1570, 267, 2495, 1713, 2614, 547, 1764, 519, 2804, 3664, 1500, 676, 3755, 13461, 2390, 1346, 6054, 269, 4460, 4394, 991, 547, 1174, 602, 3765, 10517, 6974, 725, 610, 9631, 3827, 17640, 547, 1570, 5013, 1223, 1267, 538, 4049, 4539, 267, 1312, 20019, 543, 10639, 958, 780, 290, 269, 631, 10248, 20232, 910, 4746, 1634, 607, 519, 934, 745, 531, 4493, 540, 8051, 267, 713, 6240, 3340, 9276, 547, 581, 20083, 609, 19614, 1282, 519, 1482, 1974, 789, 941, 30309, 269, 1635, 20170, 547, 713, 23988, 267, 6725, 13623, 666, 1732, 5447, 3790, 2404, 609, 11044, 267, 30572, 2326, 267, 543, 824, 7341, 609, 7222, 5712, 540, 942, 267, 3850, 585, 811, 4977, 9382, 540, 20656, 780, 4353, 269, 16792, 21781, 4338, 10738, 16373, 12745, 338, 692, 3086, 602, 649, 4865, 513, 4909, 9787, 540, 1883, 21781, 4338, 3334, 267, 1577, 781, 4983, 930, 4052, 3156, 1369, 1585, 6725, 7653, 1384, 288, 269, 13437, 16214, 910, 1306, 6725, 14573, 3136, 547, 11457, 3564, 2757, 3800, 899, 24221, 543, 4945, 10843, 3928, 267, 6220, 21781, 4338, 3741, 3587, 5051, 1271, 269, 1280, 3236, 267, 950, 10442, 2132, 593, 5092, 630, 4629, 296, 264, 585, 6725, 11044, 267, 15984, 547, 21781, 4338, 5849, 5812, 2126, 540, 1463, 543, 9940, 3790, 267, 14123, 28102, 6476, 2066, 9055, 543, 12485, 780, 289, 269, 20907, 2353, 6327, 910, 1879, 782, 20814, 2200, 1851, 1114, 6725, 3252, 267, 21781, 4338, 10220, 6087, 4023, 3892, 540, 7482, 2687, 547, 4890, 24723, 2864, 982, 17062, 21159, 610, 3140, 5515, 269, 5047, 267, 7311, 12805, 3741, 2636, 585, 5730, 5316, 1081, 540, 5859, 5829, 9276, 547, 3617, 942, 325, 29707, 267, 7393, 6111, 538, 6578, 4058, 543, 20925, 5751, 780, 290, 269, 27943, 27561, 910, 769, 6080, 8185, 14931, 676, 2229, 9988, 267, 11744, 12972, 609, 21781, 4338, 4170, 1028, 999, 8128, 602, 10721, 18083, 616, 1373, 7307, 19100, 1247, 8195, 29103, 1359, 17258, 10838, 6800, 543, 2872, 9905, 7567, 269, 3958, 267, 598, 14127, 547, 21781, 4338, 6971, 1761, 3656, 4598, 16109, 689, 1875, 1260, 20869, 267, 2417, 7863, 6216, 9698, 780, 291, 269, 631, 1120, 619, 543, 21733, 29792, 910, 4438, 1813, 31806, 3157, 18631, 12388, 619, 610, 4203, 29792, 267, 17053, 18046, 29506, 1125, 9072, 262, 2883, 5638, 5702, 269, 22685, 1154, 21781, 4338, 1655, 2853, 7158, 6725, 15523, 3870, 2406, 267, 15386, 3280, 16642, 19642, 543, 3743, 4199, 14305, 1107, 7907, 3810, 8179, 1310, 676, 16565, 10909, 5275, 1279, 3856, 1967, 2022, 20675, 9146, 780, 309, 269, 7351, 12367, 543, 12694, 692, 1103, 2221, 781, 6385, 4657, 1870, 5251, 267, 1007, 2591, 10836, 5781, 7282, 21781, 4338, 3498, 1369, 6725, 8658, 269, 2290, 8037, 7678, 12211, 547, 3059, 10229, 282, 4481, 267, 8159, 3617, 2409, 585, 9301, 8907, 6383, 3842, 2228, 5867, 3788, 513, 3905, 569, 23503, 3390, 269, 5015, 267, 6932, 4066, 971, 607, 9893, 21279, 547, 7519, 2757, 8051, 2853, 15587, 267, 26089, 6024, 9542, 543, 27715, 540, 4540, 21781, 4338, 5583, 780, 9654, 269, 10390, 692, 15987, 9583, 19635, 4610, 267, 6725, 543, 8051, 12969, 4749, 267, 8506, 9439, 538, 1312, 11890, 547, 2226, 15334, 538, 13654, 3741, 12044, 1142, 9015, 269, 16871, 21781, 4338, 1655, 2853, 6087, 6725, 6887, 547, 7500, 31719, 267, 7561, 267, 543, 12001, 569, 267, 5807, 3972, 1851, 4835, 543, 5007, 8639, 1247, 21924, 2949, 10721, 2773, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 272, 269, 634, 12197, 540, 16373, 912, 15812, 7566, 568, 519, 1184, 540, 2870, 267, 14379, 267, 12419, 267, 543, 27300, 17008, 602, 723, 1871, 585, 5561, 267, 7218, 267, 4891, 267, 543, 2486, 693, 1804, 269, 634, 3804, 540, 6725, 568, 547, 4482, 543, 11677, 5561, 676, 17598, 741, 2115, 543, 6499, 998, 513, 2039, 540, 2472, 543, 2533, 269, 634, 2361, 540, 6725, 568, 7683, 9687, 267, 9141, 676, 2242, 538, 2029, 267, 14051, 267, 543, 7082, 2623, 563, 15812, 7566, 13315, 513, 2647, 2039, 540, 2238, 267, 1519, 2344, 1382, 267, 1587, 1646, 267, 14499, 2994, 267, 10229, 543, 13319, 267, 6455, 267, 543, 6075, 2078, 2359, 269, 898, 849, 3322, 1620, 7082, 2623, 267, 1519, 875, 1004, 1118, 11449, 3664, 543, 1018, 2188, 3310, 741, 5079, 563, 15812, 7566, 568, 513, 2565, 1599, 585, 4213, 540, 782, 7306, 543, 2010, 267, 607, 621, 2337, 3549, 547, 2697, 543, 3077, 741, 5561, 267, 1711, 543, 5968, 1871, 267, 543, 1628, 3347, 609, 741, 5304, 269, 13229, 6725, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 23744, 20504, 539, 19098, 14362, 630, 16598, 4338, 17983, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 19098, 1315, 11621, 630, 16598, 4338, 267, 17692, 11965, 267, 3092, 4700, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2475, 267, 543, 2342, 267, 9306, 4274, 4030, 543, 3695, 519, 1034, 2487, 1382, 538, 519, 2361, 269, 6184, 697, 995, 11271, 1865, 11114, 1148, 543, 3308, 2528, 689, 2038, 3140, 5712, 547, 519, 1459, 269, 23527, 1331, 519, 2038, 10367, 540, 9705, 267, 14418, 6189, 267, 3308, 1148, 540, 519, 3735, 932, 657, 385, 493, 333, 1974, 267, 2022, 8705, 11114, 3203, 267, 3162, 11114, 21576, 267, 543, 811, 269, 11153, 11271, 2263, 519, 2686, 5385, 1063, 519, 11114, 25345, 267, 519, 4457, 22163, 267, 543, 519, 5545, 2895, 28396, 267, 5356, 1007, 5380, 593, 4457, 543, 5545, 1148, 269, 634, 1034, 3102, 5619, 540, 519, 1686, 540, 11114, 1148, 2139, 267, 713, 1433, 281, 5510, 619, 513, 3102, 2272, 540, 11114, 3308, 2528, 998, 1686, 267, 1519, 4207, 7835, 543, 3466, 3465, 757, 1079, 18797, 4930, 543, 3875, 1164, 2298, 12383, 9181, 525, 3308, 543, 1570, 13742, 540, 11114, 1148, 6854, 538, 1585, 21517, 543, 10070, 5001, 30216, 7811, 543, 4612, 633, 3666, 593, 519, 1641, 540, 11114, 1148, 29452, 16929, 543, 5640, 540, 7489, 1148, 1686, 6451, 11114, 3308, 6575, 538, 741, 1382, 543, 3450, 454, 17457, 543, 12634, 3203, 538, 9705, 9388, 609, 2152, 540, 2245, 267, 29678, 267, 543, 3961, 538, 2413, 543, 4207, 11114, 1148, 538, 9705, 269, 2201, 513, 4514, 1377, 267, 713, 568, 835, 540, 519, 1152, 2835, 540, 922, 2186, 538, 2296, 602, 27875, 3988, 547, 1808, 5159, 543, 741, 1568, 267, 606, 2523, 3730, 4199, 585, 1346, 945, 6999, 547, 917, 811, 982, 1175, 2627, 1377, 5013, 827, 11114, 1148, 563, 309, 308, 23905, 3194, 10817, 1938, 568, 13931, 896, 513, 11300, 12780, 21922, 27691, 732, 2704, 833, 476, 275, 269, 271, 4139, 17821, 269, 1411, 949, 1065, 889, 1501, 610, 3082, 713, 3391, 585, 3872, 5301, 267, 607, 1279, 607, 1697, 5491, 568, 2016, 269, 3776, 5227, 5491, 2882, 519, 3948, 281, 18838, 676, 267, 610, 9862, 689, 267, 966, 6387, 321, 2830, 2160, 23905, 630, 9690, 607, 540, 10371, 1862, 1040, 1403, 596, 1121, 1460, 267, 2981, 267, 610, 1628, 2390, 519, 1570, 267, 596, 1590, 15814, 707, 7418, 896, 519, 1482, 12689, 607, 519, 3312, 269, 0, 2171, 2461, 27378, 602, 693, 930, 3942, 936, 519, 2063, 1906, 3275, 596, 4076, 4862, 827, 610, 2938, 4704, 547, 19208, 267, 519, 1007, 7613, 602, 779, 3144, 519, 10509, 543, 2069, 10600, 676, 7088, 286, 1403, 711, 267, 1141, 723, 596, 1044, 286, 1656, 952, 9811, 267, 6443, 519, 15624, 2336, 1103, 1022, 2013, 267, 713, 5816, 2022, 6663, 547, 948, 938, 1893, 2069, 5561, 543, 5816, 3988, 547, 1205, 909, 547, 4266, 593, 519, 18388, 1472, 19208, 269, 1284, 3580, 1376, 676, 3168, 693, 1018, 621, 2965, 568, 543, 1281, 282, 649, 3580, 2015, 1018, 1871, 621, 1223, 3142, 547, 1893, 7855, 543, 3506, 282, 649, 3580, 1683, 930, 4555, 593, 922, 2104, 1764, 593, 1893, 1565, 543, 3450, 1354, 14656, 1055, 609, 4052, 1806, 593, 875, 596, 607, 513, 1893, 4116, 666, 1376, 1210, 19208, 2221, 1519, 513, 1900, 8386, 9912, 3391, 593, 875, 547, 2328, 606, 2500, 5401, 585, 19208, 563, 1432, 568, 19208, 888, 30942, 16821, 568, 513, 17187, 7762, 602, 3096, 14464, 11106, 630, 9590, 264, 547, 4431, 547, 3755, 685, 2055, 269, 898, 779, 2111, 547, 11571, 1257, 543, 12240, 689, 2066, 519, 4950, 547, 1711, 1257, 538, 513, 2647, 3099, 540, 3029, 269, 901, 5673, 593, 519, 1808, 5401, 855, 666, 1331, 3594, 267, 24668, 267, 6965, 543, 1256, 1893, 3992, 4566, 563, 763, 2029, 729, 1500, 2139, 547, 519, 1857, 585, 1863, 538, 5437, 476, 1708, 273, 269, 4595, 1287, 621, 568, 6059, 547, 723, 6603, 476, 1911, 2929, 10865, 3742, 3755, 538, 5130, 267, 2687, 547, 513, 2487, 5619, 689, 772, 7034, 269, 2859, 4481, 267, 606, 3328, 540, 1472, 476, 1724, 2929, 2189, 8436, 1031, 19208, 829, 1554, 538, 5130, 269, 1635, 6476, 267, 621, 3576, 17749, 476, 273, 269, 276, 1296, 547, 3914, 476, 1911, 2929, 3755, 563, 30942, 16821, 568, 835, 1383, 540, 30462, 3642, 269, 901, 2165, 6257, 6620, 602, 666, 581, 1031, 547, 3362, 543, 31380, 1711, 1007, 1543, 269, 769, 1840, 547, 1257, 267, 824, 17016, 1331, 8301, 267, 3009, 267, 2592, 543, 7044, 269, 5345, 1211, 569, 971, 23484, 723, 519, 1761, 547, 3648, 7519, 1082, 9922, 1519, 2069, 543, 1893, 1565, 563, 2026, 609, 824, 6639, 8441, 267, 930, 538, 2069, 723, 15527, 609, 4250, 543, 6161, 269, 19208, 814, 267, 585, 1383, 267, 2907, 1044, 17049, 676, 3875, 9945, 543, 2199, 6608, 267, 945, 4250, 621, 7512, 32533, 269, 1809, 1082, 7855, 630, 324, 3052, 269, 7905, 6599, 534, 20703, 5585, 693, 1733, 691, 517, 264, 616, 8508, 19208, 543, 824, 3642, 338, 676, 32750, 873, 883, 741, 6030, 543, 3695, 741, 1761, 547, 2981, 1565, 563, 9558, 14127, 1893, 1565, 609, 3642, 454, 32546, 2303, 602, 519, 1764, 540, 30462, 3642, 4066, 568, 2693, 547, 581, 5059, 593, 2185, 1292, 2127, 269, 1284, 3580, 3382, 1346, 2630, 543, 649, 3580, 4704, 1806, 540, 1893, 7855, 543, 3549, 945, 616, 2907, 1210, 519, 2029, 267, 1256, 693, 713, 2038, 3942, 563, 272, 269, 12474, 5137, 454, 2026, 13890, 1657, 267, 2645, 971, 607, 19208, 723, 1044, 2919, 547, 3132, 1543, 693, 4336, 543, 693, 1390, 3432, 269, 9717, 602, 789, 4431, 547, 1808, 12987, 267, 789, 666, 1683, 1893, 7855, 543, 1053, 609, 19957, 3255, 547, 1711, 14850, 335, 5803, 1543, 563, 1607, 1383, 689, 4436, 4116, 918, 5055, 644, 807, 5576, 30591, 330, 3096, 519, 3239, 10451, 3642, 1907, 267, 667, 718, 9950, 267, 547, 1711, 1808, 2592, 585, 513, 2875, 4976, 269, 634, 1806, 1352, 2813, 3177, 513, 14850, 335, 5803, 2796, 865, 602, 1200, 1053, 1223, 968, 335, 847, 1047, 8108, 5220, 609, 13450, 602, 1491, 513, 546, 894, 543, 606, 25197, 894, 1843, 563, 20118, 7711, 577, 5142, 329, 3107, 2917, 1031, 19208, 547, 1711, 3358, 3992, 2200, 585, 1200, 5053, 1362, 269, 2701, 4941, 513, 968, 935, 951, 566, 609, 1808, 6026, 1893, 1341, 946, 540, 803, 31830, 541, 17144, 1341, 8231, 267, 1759, 538, 513, 2951, 8116, 1848, 4014, 1352, 729, 20938, 609, 519, 2164, 543, 942, 10710, 267, 1352, 17019, 602, 930, 11049, 543, 2766, 1681, 729, 2877, 1354, 1352, 1223, 946, 519, 1570, 609, 1200, 1053, 563, 1103, 1840, 547, 519, 3810, 3358, 267, 1808, 1543, 5108, 13890, 1657, 267, 30462, 3642, 849, 814, 519, 2702, 547, 2981, 875, 1367, 1053, 1451, 4654, 563, 17387, 14688, 30462, 3642, 2645, 616, 849, 3810, 5827, 540, 7900, 8144, 267, 865, 3755, 666, 5968, 609, 873, 538, 1022, 1893, 789, 3442, 269, 12443, 6921, 582, 267, 585, 1383, 267, 6087, 6267, 547, 32260, 741, 1893, 1983, 676, 1257, 10004, 1154, 609, 513, 1893, 30292, 538, 5053, 267, 4457, 610, 2296, 563, 763, 813, 267, 28423, 267, 3217, 713, 547, 519, 1985, 1377, 676, 7175, 1053, 547, 723, 513, 6643, 538, 2296, 968, 23719, 17596, 513, 2661, 20131, 593, 519, 824, 1439, 1848, 634, 3642, 849, 2488, 5955, 547, 1053, 543, 568, 2111, 547, 21613, 2067, 7391, 269, 1656, 1317, 891, 4066, 616, 7683, 1565, 543, 5355, 267, 519, 2298, 540, 741, 6114, 786, 1152, 1205, 1732, 936, 942, 563, 1103, 1840, 547, 3274, 2870, 1543, 267, 972, 779, 2810, 2963, 602, 3642, 568, 6117, 513, 1713, 7004, 540, 968, 10177, 6463, 892, 3860, 6080, 269, 589, 1007, 5951, 540, 3642, 2645, 786, 1118, 621, 18334, 267, 4443, 543, 14949, 585, 4896, 547, 1711, 8924, 267, 27143, 543, 7044, 563, 1607, 786, 723, 1713, 6286, 585, 1893, 1576, 12696, 543, 5238, 269, 13088, 971, 607, 661, 706, 2998, 6993, 296, 267, 585, 1383, 267, 2907, 5512, 4896, 547, 1711, 968, 26051, 2213, 543, 13708, 1881, 1893, 6030, 609, 519, 1379, 540, 3642, 1848, 634, 3760, 568, 2907, 1373, 1031, 11451, 676, 1367, 3610, 543, 5238, 547, 1628, 6030, 543, 1631, 814, 5176, 476, 2004, 330, 3486, 3755, 563, 275, 269, 26805, 24913, 454, 6624, 7855, 2066, 1114, 5396, 723, 5612, 4857, 602, 19208, 630, 663, 824, 3642, 2645, 264, 666, 581, 1379, 2685, 1031, 547, 2569, 741, 24913, 269, 769, 1880, 1472, 519, 942, 21791, 543, 1419, 27865, 517, 748, 960, 540, 3992, 4058, 269, 901, 17323, 1383, 689, 15537, 24522, 9807, 1379, 2685, 9727, 1018, 519, 2029, 666, 798, 269, 4014, 607, 646, 779, 849, 2656, 547, 1448, 856, 281, 9232, 296, 6557, 711, 6031, 713, 568, 3501, 538, 1022, 1259, 256, 594, 8910, 6157, 711, 4001, 899, 713, 855, 607, 513, 15977, 621, 779, 4241, 3034, 18770, 665, 919, 585, 971, 3642, 14617, 2645, 556, 30185, 602, 789, 616, 513, 1907, 547, 7110, 543, 1489, 4540, 2259, 267, 2864, 982, 5275, 547, 4625, 5372, 621, 269, 769, 3257, 865, 267, 971, 3435, 666, 1863, 909, 942, 585, 3610, 547, 798, 519, 1919, 602, 2731, 2339, 543, 799, 2029, 3112, 798, 1107, 2502, 609, 1053, 3068, 547, 3068, 543, 5885, 741, 1565, 1315, 2123, 1646, 563, 293, 5987, 610, 535, 4141, 888, 288, 2487, 15588, 902, 26323, 1867, 2808, 713, 4661, 693, 3259, 269, 6736, 16048, 4145, 689, 7855, 543, 3506, 602, 2645, 971, 607, 19208, 1131, 1291, 547, 519, 2669, 540, 1603, 543, 17783, 7051, 32533, 267, 519, 1867, 11943, 602, 281, 968, 5825, 539, 538, 519, 1318, 1259, 267, 19208, 666, 581, 513, 3659, 547, 519, 4928, 543, 606, 5863, 1907, 585, 938, 1053, 267, 711, 1945, 547, 581, 21787, 3034, 20118, 267, 607, 3798, 24728, 966, 290, 267, 25414, 654, 534, 13187, 281, 968, 8448, 338, 723, 29600, 519, 7521, 607, 606, 16650, 6370, 1063, 1079, 3642, 338, 281, 5841, 4987, 8957, 4081, 8699, 269, 1809, 621, 3085, 1406, 991, 547, 581, 865, 2036, 894, 543, 11685, 531, 269, 2859, 2693, 267, 789, 3580, 11457, 1927, 607, 3214, 267, 3610, 543, 1099, 5505, 10625, 1007, 2081, 547, 4001, 267, 1451, 267, 1589, 543, 1628, 609, 3642, 3034, 4263, 5842, 752, 334, 649, 2907, 1118, 3617, 946, 540, 4359, 2029, 538, 938, 3059, 2472, 543, 616, 4867, 3695, 875, 649, 666, 3082, 547, 519, 3255, 6035, 676, 30462, 3642, 2645, 269, 8409, 7835, 11760, 15537, 24522, 9807, 779, 2990, 602, 968, 907, 527, 630, 30942, 16821, 264, 814, 1100, 8356, 766, 610, 1166, 1515, 799, 519, 1367, 4116, 6770, 1848, 1284, 849, 1616, 547, 948, 1053, 543, 3610, 547, 1689, 519, 6643, 1472, 30462, 3642, 689, 968, 19972, 1018, 519, 2029, 1705, 892, 547, 968, 19972, 1018, 594, 1705, 609, 519, 2029, 3034, 3719, 5310, 1034, 11932, 267, 649, 2671, 2983, 4752, 19258, 517, 779, 2070, 602, 519, 2029, 786, 968, 12221, 4733, 3610, 547, 4001, 1848, 1656, 602, 1058, 581, 1945, 3025, 538, 1893, 2069, 666, 1205, 3297, 2336, 3383, 267, 875, 666, 19208, 948, 1893, 7855, 538, 2259, 888, 2026, 513, 1893, 19829, 267, 4466, 2502, 543, 4052, 2238, 585, 707, 1053, 666, 581, 513, 4101, 4305, 269, 1717, 267, 609, 519, 948, 540, 19208, 267, 596, 666, 3362, 1711, 513, 3099, 540, 1893, 1565, 2238, 602, 786, 1832, 707, 1893, 6267, 12592, 543, 9599, 547, 2259, 269, 1284, 786, 2263, 476, 276, 4052, 1893, 1565, 2238, 602, 596, 666, 2307, 19208, 547, 1711, 585, 707, 1893, 6267, 2786, 2476, 256, 1306, 513, 1893, 19829, 267, 596, 1175, 991, 547, 1374, 4977, 543, 5693, 24669, 12987, 602, 3391, 19208, 547, 1711, 519, 2238, 596, 616, 3168, 585, 269, 634, 2630, 1806, 616, 585, 5053, 1565, 855, 596, 666, 3362, 12189, 519, 12987, 547, 3077, 1022, 1893, 563, 272, 269, 15511, 20520, 585, 24935, 6657, 454, 16485, 19208, 547, 1711, 513, 5188, 1063, 1079, 610, 811, 3197, 267, 2519, 593, 513, 1808, 1888, 610, 3510, 602, 596, 1589, 568, 2502, 543, 4277, 585, 707, 1053, 269, 901, 1223, 581, 513, 6643, 1063, 2828, 7234, 741, 19463, 11176, 6887, 267, 513, 5188, 1063, 513, 6075, 543, 513, 3381, 3756, 6300, 24010, 267, 610, 513, 6643, 1063, 513, 4387, 543, 513, 3461, 269, 1411, 666, 20688, 519, 5188, 547, 519, 5578, 1377, 540, 707, 1053, 267, 543, 946, 519, 5188, 2047, 585, 6340, 2259, 543, 1909, 25178, 532, 2238, 269, 2991, 596, 723, 2813, 519, 3355, 6429, 7933, 658, 4084, 621, 568, 1360, 2653, 547, 4228, 2417, 676, 6998, 19208, 547, 1711, 3606, 4247, 971, 607, 7934, 1922, 650, 267, 2789, 3903, 610, 6863, 2238, 602, 616, 782, 1759, 593, 713, 16494, 5188, 269, 1411, 849, 723, 519, 4781, 547, 2307, 19208, 547 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 935, 951, 566, 2593, 270, 278, 268, 1811, 3562, 1606, 13607, 1790, 6897, 1944, 25082, 24376, 3562, 7302, 5366, 268, 22529, 4601, 2914, 1002, 3562, 268, 600, 680, 1518, 6823, 1467, 11399, 2987, 16512, 268, 10082, 28510, 454, 4462, 322, 2753, 15716, 281, 1215, 15348, 645, 1815, 877, 3776, 14740, 700, 650, 10005, 28224, 267, 9628, 281, 2160, 540, 9628, 4964, 267, 476, 1001, 279, 267, 6032, 269, 476, 1704, 454, 309, 14162, 329, 752, 267, 645, 269, 630, 1001, 272, 267, 5147, 476, 2641, 1040, 8836, 543, 2797, 1612, 8457, 807, 269, 16402, 345, 710, 269, 8158, 4989, 476, 1839, 267, 476, 1708, 273, 267, 689, 4179, 2517, 4178, 4318, 1755, 345, 710, 2593, 11305, 8590, 7146, 27791, 24733, 8457, 807, 270, 0, 1607, 1837, 568, 2966, 585, 1053, 269, 13298, 982, 519, 6093, 4214, 7308, 648, 332, 31383, 3146, 701, 520, 2511, 267, 713, 1257, 2882, 1454, 811, 16555, 267, 8404, 543, 7778, 269, 634, 15997, 616, 711, 1768, 572, 267, 543, 2832, 585, 1620, 936, 4346, 269, 5015, 267, 19421, 540, 15997, 616, 28263, 676, 834, 2675, 337, 2255, 960, 257, 610, 513, 6169, 17250, 547, 2285, 1053, 513, 2462, 1790, 27348, 2070, 543, 606, 7778, 540, 875, 789, 1131, 2097, 909, 609, 621, 593, 741, 1378, 269, 6201, 1419, 5397, 519, 2239, 543, 4161, 519, 20932, 540, 519, 5467, 269, 634, 1257, 849, 6663, 547, 1118, 519, 2093, 7298, 267, 543, 3568, 936, 476, 1220, 12383, 269, 634, 1603, 568, 17159, 543, 2882, 4277, 3140, 4967, 267, 13350, 8942, 693, 9644, 267, 543, 17573, 4129, 687, 883, 824, 4277, 2127, 540, 6128, 269, 634, 1257, 6227, 519, 1483, 2338, 267, 3556, 514, 1275, 267, 9696, 267, 3126, 267, 519, 23289, 540, 519, 556, 1023, 267, 15364, 267, 15285, 267, 5610, 267, 543, 9696, 543, 3126, 540, 3252, 269, 3962, 3184, 7475, 609, 5751, 267, 543, 5176, 782, 1331, 930, 1930, 2055, 269, 634, 1101, 30569, 3568, 513, 4070, 519, 556, 1023, 267, 543, 519, 2034, 568, 513, 4015, 540, 3606, 15116, 543, 27690, 1806, 689, 2079, 269, 634, 2278, 11099, 1034, 9499, 616, 5393, 936, 335, 878, 539, 543, 18129, 547, 948, 1689, 713, 13034, 6493, 543, 3435, 547, 2824, 5751, 666, 581, 1336, 693, 7043, 13528, 13043, 2593, 269, 3767, 596, 666, 4444, 7734, 2228, 538, 7330, 267, 20084, 267, 3127, 543, 811, 982, 476, 1911, 2477, 563, 265, 24404, 916, 543, 17148, 4019, 454, 11514, 25068, 281, 2353, 1587, 1239, 593, 713, 2985, 12851, 547, 1547, 3143, 454, 7666, 5875, 4315, 616, 1500, 607, 547, 6111, 540, 5777, 543, 1344, 563, 1692, 547, 4444, 513, 1433, 888, 15507, 585, 513, 1808, 7170, 10758, 8191, 2107, 9768, 454, 2791, 666, 3406, 676, 7170, 540, 3883, 263, 8512, 658, 4408, 4847, 1916, 2791, 666, 3406, 676, 8191, 540, 3883, 630, 8512, 658, 4408, 4847, 1916, 2791, 666, 3406, 676, 13595, 552, 3052, 269, 8212, 22698, 13511, 630, 8512, 658, 4408, 4847, 1916, 2791, 666, 3406, 676, 9768, 552, 3052, 269, 476, 1015, 9704, 610, 476, 1724, 9704, 9768, 610, 607, 514, 540, 3883, 1510, 1022, 5624, 610, 3834, 2380, 563, 4537, 6235, 540, 7734, 568, 2139, 782, 936, 519, 1158, 609, 1906, 17756, 563, 31807, 3539, 1184, 568, 476, 1911, 260, 5150, 563, 8620, 513, 7734, 3559, 325, 540, 707, 674, 2948, 924, 2835, 1280, 7102, 2372, 7685, 5225, 1810, 1405, 19292, 547, 3346, 721, 693, 7330, 1341, 272, 263, 31318, 264, 24783, 5881, 277, 273, 454, 19328, 1341, 11011, 476, 3445, 273, 22145, 14338, 275, 454, 19328, 1341, 11011, 476, 3445, 273, 22145, 14338, 275, 630, 1432, 338, 1952, 994, 24246, 7734, 2228, 1317, 607, 606, 8835, 21133, 649, 7118, 689, 27216, 16306, 269, 0, 1103, 6723, 18379, 582, 781, 6648, 834, 15575, 602, 4303, 23452, 2437, 519, 10564, 27711, 513, 5048, 540, 5621, 745, 1143, 267, 1582, 16531, 267, 543, 6568, 269, 898, 2829, 602, 267, 952, 649, 6108, 835, 1554, 8380, 938, 2115, 267, 6499, 267, 543, 7036, 7891, 1101, 1247, 711, 14344, 519, 2115, 540, 1866, 267, 649, 666, 1293, 602, 1554, 4503, 269, 898, 568, 2182, 547, 1118, 519, 1158, 513, 1732, 1747, 3206, 1152, 540, 3054, 563, 3080, 949, 723, 602, 4543, 2262, 267, 602, 1907, 267, 610, 602, 835, 4316, 602, 1223, 2490, 2576, 781, 1272, 1472, 269, 23560, 865, 267, 602, 568, 267, 6236, 519, 2115, 540, 1866, 267, 568, 519, 1152, 1259, 519, 1158, 666, 1847, 4464, 269, 6056, 540, 519, 1268, 602, 17990, 835, 5182, 8127, 856, 540, 5215, 856, 593, 519, 5070, 269, 1261, 949, 723, 10710, 1152, 835, 267, 855, 646, 10710, 621, 267, 18562, 563, 11997, 267, 2713, 1272, 1620, 602, 3006, 649, 991, 547, 20912, 6000, 1945, 538, 1931, 547, 948, 1776, 568, 11358, 585, 513, 1434, 1272, 543, 267, 676, 9949, 267, 1131, 1118, 938, 1554, 1293, 563, 288, 1554, 1134, 6170, 568, 513, 1554, 538, 799, 649, 798, 1945, 2186, 585, 1866, 269, 1284, 2671, 938, 25736, 865, 602, 1866, 609, 1447, 9939, 543, 811, 9465, 538, 741, 2729, 666, 693, 2547, 1205, 513, 4960, 547, 1847, 856, 540, 741, 678, 583, 269, 901, 568, 17709, 269, 898, 568, 513, 1554, 602, 4625, 2306, 1272, 4502, 621, 269, 0, 2691, 2367, 543, 2021, 3459, 2324, 1927, 538, 519, 476, 10204, 271, 338, 519, 1101, 4008, 5498, 326, 27935, 30079, 941, 2813, 282, 4180, 2367, 543, 2021, 723, 5094, 6703, 269, 12085, 723, 4957, 513, 2603, 2094, 519, 476, 10204, 271, 338, 267, 3728, 4464, 547, 2221, 267, 543, 649, 723, 513, 21318, 540, 17478, 282, 5256, 543, 4775, 30079, 267, 16981, 30079, 267, 1920, 30079, 267, 543, 4008, 16250, 23018, 30079, 563, 2710, 596, 723, 547, 723, 5094, 5256, 543, 4775, 30079, 286, 2311, 519, 4098, 540, 5147, 476, 1708, 273, 267, 519, 5177, 6554, 4972, 585, 5426, 1782, 5455, 267, 24184, 543, 18877, 9307, 602, 782, 1007, 1857, 5656, 1058, 723, 5094, 5256, 543, 4775, 30079, 269, 1733, 12241, 713, 23318, 814, 1044, 4922, 10404, 2213, 585, 1373, 1098, 874, 11131, 267, 519, 4808, 723, 8854, 593, 14969, 602, 5094, 796, 1047, 343, 630, 528, 8471, 264, 30079, 1058, 581, 3177, 952, 972, 568, 2230, 855, 1058, 711, 2097, 693, 519, 13258, 540, 4775, 30079, 563, 298, 655, 328, 14068, 523, 5255, 12463, 630, 14737, 3563, 585, 4982, 8017, 264, 1767, 912, 17606, 568, 4105, 602, 2021, 1745, 2922, 543, 6899, 950, 1210, 1857, 6703, 267, 543, 602, 741, 2115, 616, 15197, 9731, 257, 4322, 2242, 786, 2327, 602, 5094, 30079, 585, 2367, 543, 2021, 616, 12873, 693, 519, 1482, 942, 607, 3246, 8471, 30079, 585, 1346, 602, 1616, 873, 269, 901, 568, 513, 1455, 1606, 1619, 1935, 8487, 6524, 713, 3375, 729, 1500, 267, 538, 3829, 1382, 729, 5342, 269, 25709, 687, 941, 10356, 689, 513, 3376, 8552, 540, 519, 2489, 1857, 799, 4646, 606, 5351, 538, 21528, 519, 6554, 547, 1118, 713, 5483, 3375, 563, 1432, 6496, 1133, 1047, 343, 24872, 3336, 6399, 888, 4462, 1047, 343, 8602, 7741, 3277, 547, 8602, 7741, 602, 616, 5078, 585, 1022, 4008, 547, 946, 269, 3850, 585, 1875, 1532, 2435, 267, 5256, 267, 4775, 267, 543, 19574, 1004, 563, 4263, 1459, 796, 1047, 343, 30079, 666, 581, 1336, 593, 930, 1857, 3560, 268, 14884, 267, 14742, 267, 19393, 267, 543, 16981, 30079, 616, 849, 796, 1047, 343, 269, 1452, 30079, 616, 6131, 1582, 8410, 22633, 5624, 4509, 7834, 585, 519, 2582, 3593, 563, 26794, 1299, 32539, 540, 1133, 1047, 343, 1677, 850, 1206, 454, 3080, 540, 519, 1292, 5383, 540, 4008, 16250, 23018, 30079, 568, 621, 11151, 7130, 1996, 19574, 1004, 269, 1703, 616, 2665, 1141, 19574, 1004, 2057, 2469, 547, 1857, 30079, 1813, 547, 519, 1981, 540, 1373, 13032, 1221, 269, 634, 946, 540, 4008, 16250, 23018, 30079, 4422, 513, 1279, 1259, 547, 2061, 713, 689, 8345, 268, 865, 3025, 666, 1745, 6899, 950, 1210, 1857, 8602, 7741, 563, 5194, 5413, 540, 796, 1047, 343, 30079, 568, 3237, 666, 13173, 741, 1453, 540, 519, 6587, 3023, 267, 547, 519, 16003, 269, 4935, 267, 4227, 1022, 2042, 799, 949, 2097, 609, 11299, 1299, 18971, 267, 2921, 741, 20766, 4882, 976, 547, 519, 16003, 563, 20118, 267, 1482, 20967, 3237, 666, 1491, 741, 1453, 547, 519, 16003, 1510, 20468, 827, 741, 3106, 1058, 789, 723, 547, 979, 593, 741, 1378, 563, 2304, 1383, 540, 6404, 14025, 6703, 543, 519, 7965, 11402, 689, 1818, 713, 707, 6852, 11865, 568, 634, 6196, 30647, 20989, 538, 5507, 269, 7982, 538, 476, 1001, 280, 267, 519, 20989, 23384, 513, 2407, 1201, 7875, 7321, 1818, 782, 540, 741, 11547, 3336, 6703, 4008, 16250, 23018, 282, 789, 2813, 811, 6703, 2469, 689, 476, 2420, 547, 476, 4510, 269, 901, 729, 513, 3575, 540, 476, 2918, 30079, 543, 476, 1240, 2712, 10904, 540, 519, 476, 4510, 16003, 6703, 972, 616, 1631, 1152, 476, 2918, 2021, 1223, 946, 543, 513, 2407, 476, 4510, 585, 2367, 267, 799, 3361, 856, 322, 787, 689, 519, 29123, 563, 2252, 596, 723, 1022, 2055, 610, 991, 1022, 5796, 267, 519, 2319, 693, 1401, 26118, 1640, 723, 513, 5763, 540, 1995, 538, 891, 6927, 543, 666, 1683, 5796, 543, 6351, 609, 782, 540, 707, 3785, 269, 3776, 4274, 2319, 568, 593, 1688, 547, 3391, 596, 998, 519, 3375, 1184, 543, 5478, 519, 1655, 7750, 1834, 1062, 585, 596, 267, 2921, 883, 2272, 909, 3562, 15082, 4808, 267, 707, 1788, 20487, 267, 543, 707, 6578, 563, 2414, 1451, 811, 827, 938, 6192, 3785, 267, 5225, 3643, 519, 2013, 2090, 2985, 563, 5649, 811, 3267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 476, 1001, 278, 269, 901, 1395, 4919, 1353, 6322, 547, 2263, 519, 7376, 781, 5499, 7418, 547, 12497, 1148, 543, 21576, 267, 10223, 1010, 21722, 946, 540, 8653, 267, 1685, 18356, 267, 543, 7293, 1143, 780, 3528, 23622, 593, 700, 14712, 553, 262, 14557, 26517, 3977, 267, 519, 1225, 2209, 25967, 1819, 519, 2956, 540, 9389, 1275, 538, 1010, 960, 267, 18136, 13588, 547, 4497, 609, 519, 4773, 607, 13796, 2833, 2864, 982, 6071, 11269, 540, 4641, 269, 634, 5542, 3769, 2038, 8874, 899, 834, 19423, 823, 540, 6176, 827, 519, 10476, 2782, 693, 8422, 20946, 257, 630, 3422, 279, 1070, 799, 23827, 919, 519, 1909, 540, 2527, 2923, 538, 5935, 1857, 6644, 1282, 4655, 267, 607, 1134, 607, 2663, 3381, 19698, 971, 607, 834, 4537, 836, 2967, 15232, 257, 630, 1220, 279, 1070, 799, 9356, 2390, 4683, 7004, 543, 14051, 780, 290, 264, 19043, 543, 20480, 454, 1607, 5059, 6514, 540, 6424, 700, 14712, 553, 262, 4670, 543, 3381, 2259, 4847, 9458, 547, 5660, 519, 2585, 885, 543, 771, 329, 17313, 2429, 1010, 4876, 267, 17766, 1769, 593, 1010, 11972, 7029, 547, 15819, 3964, 14908, 269, 5015, 267, 621, 7152, 519, 1761, 540, 1395, 4919, 2090, 547, 5352, 3209, 12496, 543, 12954, 2565, 9840, 1472, 26173, 5159, 610, 15763, 3344, 540, 28138, 5515, 269, 769, 3257, 865, 267, 519, 14266, 30833, 519, 1871, 540, 11826, 14172, 543, 1225, 31247, 5075, 538, 14027, 938, 8223, 540, 1950, 7499, 2853, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 20826, 476, 1001, 278, 1107, 5130, 476, 1001, 279, 454, 303, 6680, 9208, 5384, 281, 15829, 270, 6369, 568, 513, 2484, 23568, 543, 16529, 3408, 540, 5824, 1977, 543, 21337, 1148, 538, 5188, 609, 11968, 13353, 563, 299, 539, 676, 519, 5192, 1399, 267, 7414, 9208, 5384, 281, 15829, 270, 6369, 568, 519, 5767, 10319, 4674, 689, 6575, 5238, 2066, 8828, 4993, 563, 4407, 519, 5354, 540, 24218, 786, 723, 606, 8561, 593, 2413, 543, 4207, 1148, 267, 972, 849, 786, 581, 2629, 24218, 827, 519, 3504, 1158, 543, 519, 840, 21524, 1716, 5736, 269, 2060, 3584, 971, 607, 17195, 3615, 538, 519, 840, 4211, 565, 3518, 1014, 17113, 267, 476, 736, 628, 268, 2540, 25812, 5174, 571, 7588, 1014, 1148, 267, 4244, 5624, 538, 6792, 4975, 267, 543, 10465, 2275, 1484, 532, 2853, 540, 21337, 5159, 267, 24218, 786, 2039, 689, 1395, 4919, 2090, 540, 1367, 5159, 547, 3376, 12220, 602, 2759, 2066, 3875, 2477, 563, 8489, 547, 979, 267, 581, 5025, 4135, 779, 29202, 585, 5181, 454, 273, 270, 273, 281, 538, 15829, 11829, 7685, 454, 306, 1440, 6686, 628, 631, 6162, 267, 11968, 13353, 454, 21837, 700, 14712, 553, 267, 5384, 607, 11314, 454, 280, 270, 278, 270, 1001, 278, 2443, 476, 1015, 270, 2641, 270, 1001, 278, 454, 1607, 14266, 2934, 8874, 543, 7044, 676, 519, 18335, 23899, 10703, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 2750, 22128, 2876, 1559, 257, 607, 851, 540, 834, 11286, 1315, 10572, 20551, 1315, 3933, 21106, 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, 6092, 5149, 281, 18181, 609, 7256, 631, 1601, 281, 30459, 713, 8111, 25988, 883, 8899, 1633, 13677, 27804, 1186, 543, 19731, 338, 692, 1103, 2221, 781, 1158, 267, 972, 568, 513, 3395, 1719, 538, 6220, 15988, 797, 338, 883, 3232, 11326, 1813, 547, 741, 3875, 1072, 2640, 269, 2290, 971, 1426, 602, 814, 6591, 1713, 3007, 5063, 568, 4262, 21263, 267, 849, 1634, 607, 9721, 21263, 269, 901, 1826, 540, 32420, 568, 4122, 10057, 538, 11114, 11951, 543, 814, 1631, 1831, 2442, 5001, 1813, 547, 922, 3638, 9422, 9043, 543, 1761, 1072, 5383, 269, 769, 713, 1576, 1770, 267, 649, 786, 2263, 875, 547, 6451, 4262, 21263, 883, 6237, 543, 2686, 5986, 676, 6313, 922, 1909, 538, 2870, 8949, 8899, 1633, 13677, 27130, 543, 12403, 338, 780, 20058, 267, 1577, 721, 1174, 1018, 4262, 21263, 568, 543, 1946, 621, 568, 2808, 513, 15988, 797, 269, 7256, 21263, 267, 23963, 1634, 607, 932, 1180, 6350, 5743, 16476, 267, 568, 513, 2249, 540, 2699, 13479, 602, 9428, 2059, 22586, 24528, 538, 519, 9533, 7909, 269, 898, 814, 1044, 12926, 19122, 585, 922, 15074, 11294, 748, 9403, 267, 799, 2306, 621, 606, 5140, 900, 6160, 8595, 543, 5394, 2287, 8665, 269, 5047, 267, 4262, 21263, 19646, 606, 11141, 8770, 5860, 267, 5627, 1898, 6886, 899, 7513, 267, 13101, 267, 4401, 267, 11379, 267, 543, 9770, 269, 3958, 267, 621, 568, 14095, 609, 8324, 267, 8192, 6775, 267, 543, 14434, 267, 3246, 1896, 1072, 2640, 269, 5525, 2303, 602, 4262, 21263, 949, 4865, 4550, 13611, 267, 4761, 28967, 24031, 267, 543, 1256, 4550, 2275, 22083, 3601, 630, 293, 527, 2023, 1696, 620, 1421, 476, 1001, 276, 6393, 3086, 602, 649, 723, 3964, 519, 4644, 540, 4262, 21263, 1577, 721, 5490, 4514, 883, 922, 3140, 6165, 538, 2757, 4915, 267, 3226, 538, 9705, 269, 19612, 607, 834, 14741, 6614, 758, 257, 538, 11114, 267, 4262, 21263, 6585, 513, 2027, 1747, 538, 11114, 2528, 543, 11951, 269, 27603, 267, 6401, 753, 8532, 11465, 6614, 758, 1368, 330, 267, 513, 17339, 1500, 1210, 4262, 21263, 267, 14132, 267, 543, 5388, 267, 1282, 4332, 17058, 607, 621, 23327, 15325, 543, 1434, 1072, 269, 5015, 267, 4262, 21263, 568, 5156, 547, 2087, 14915, 566, 267, 5818, 1648, 2157, 267, 543, 7794, 12046, 269, 4706, 7839, 4616, 538, 11114, 10820, 9727, 519, 2956, 540, 713, 15988, 797, 1369, 741, 2686, 2796, 780, 2414, 2253, 3695, 2081, 547, 6451, 4262, 21263, 883, 8899, 1633, 13677, 27130, 543, 12403, 338, 267, 1101, 24559, 3054, 609, 27126, 543, 8600, 4262, 21263, 269, 18610, 610, 12015, 4262, 21263, 666, 3335, 581, 1336, 693, 2199, 7489, 17365, 8637, 610, 2228, 21625, 269, 6969, 1210, 621, 267, 27125, 8499, 896, 4411, 1216, 547, 4894, 1022, 11935, 610, 23606, 269, 1924, 752, 519, 4262, 21263, 538, 3636, 1216, 2394, 21352, 539, 282, 1287, 8963, 543, 14299, 29656, 269, 17968, 267, 596, 666, 6718, 5423, 4262, 21263, 8869, 585, 8897, 540, 946, 780, 9202, 267, 2015, 1585, 2409, 547, 8415, 4262, 21263, 1369, 707, 8286, 269, 9717, 922, 2189, 25297, 267, 4262, 21263, 3252, 24215, 1134, 607, 513, 2067, 5394, 10273, 269, 9182, 267, 621, 666, 22937, 1560, 543, 8645, 1465, 547, 6382, 6094, 610, 1216, 344, 27130, 543, 12403, 338, 1510, 13461, 593, 10683, 2472, 610, 5841, 21187, 269, 1280, 1383, 267, 950, 4946, 4262, 21263, 547, 513, 5929, 8857, 577, 26185, 267, 513, 2295, 344, 24061, 2861, 17339, 10023, 4573, 2023, 267, 3597, 5388, 267, 543, 11922, 267, 519, 4262, 21263, 786, 10802, 1312, 8137, 543, 9403, 1247, 8195, 12419, 3407, 5567, 780, 12234, 267, 4603, 609, 1102, 6748, 4262, 21263, 883, 13632, 543, 13279, 585, 2417, 17545, 269, 1635, 31652, 532, 4262, 21263, 7258, 7633, 267, 23599, 5388, 267, 543, 14546, 267, 596, 1711, 513, 16138, 5109, 5748, 28093, 4240, 609, 3606, 7777, 6988, 269, 22034, 891, 4262, 21263, 19899, 4310, 15559, 5713, 607, 519, 3490, 585, 7347, 12403, 338, 899, 15483, 8584, 6122, 2131, 773, 267, 513, 9269, 543, 682, 2131, 598, 1723, 794, 29103, 1229, 676, 27081, 24061, 543, 7657, 1819, 609, 16815, 1889, 267, 16163, 2917, 267, 543, 15922, 3762, 269, 634, 10014, 540, 4262, 21263, 5705, 569, 6173, 919, 713, 18803, 8670, 1247, 7700, 4105, 10250, 2609, 15534, 538, 6671, 21339, 780, 15563, 267, 8495, 4207, 4485, 547, 6220, 4262, 21263, 883, 2413, 1242, 8747, 540, 2757, 13677, 24214, 269, 6333, 13167, 5499, 20757, 610, 17154, 8925, 547, 11537, 27825, 998, 7580, 18839, 540, 2030, 23402, 3334, 267, 1519, 4262, 21263, 269, 589, 6305, 11134, 585, 9542, 1522, 4125, 10430, 781, 1340, 539, 595, 1638, 523, 1236, 1074, 267, 513, 28655, 1185, 323, 1442, 669, 32535, 13840, 3808, 1927, 3842, 7912, 13193, 343, 543, 5230, 8645, 269, 3414, 4140, 5534, 3498, 540, 1625, 2946, 539, 4262, 544, 1087, 267, 2705, 267, 513, 3623, 5287, 5023, 10623, 601, 24188, 540, 3312, 30422, 19674, 1765, 718, 1247, 23695, 547, 3309, 8192, 7375, 780, 1103, 3932, 267, 10128, 4262, 21263, 883, 6237, 543, 2686, 5986, 3091, 3078, 7399, 585, 9750, 1312, 31370, 543, 9422, 6981, 269, 1306, 7152, 23954, 267, 15268, 942, 3620, 517, 1819, 8899, 1633, 13677, 27130, 543, 12403, 338, 2488, 15792, 4316, 547, 13686, 519, 13710, 7907, 540, 713, 7415, 15988, 797, 269, 6787, 5275, 4824, 1072, 4093, 267, 4264, 12146, 27126, 267, 610, 2241, 7279, 827, 3209, 11477, 2553, 267, 8508, 4262, 21263, 14767, 16221, 12587, 17709, 540, 3408, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 5353, 320, 21263, 610, 9721, 21263, 568, 513, 32420, 602, 568, 1419, 1031, 538, 11114, 11951, 543, 568, 11543, 8560, 607, 513, 15988, 797, 269, 898, 568, 1164, 538, 6775, 267, 8324, 267, 6886, 267, 543, 14434, 543, 814, 4550, 13611, 543, 4550, 2275, 22083, 3601, 269, 9721, 7256, 21263, 8869, 814, 1044, 1031, 585, 5553, 607, 2757, 4915, 543, 666, 581, 1336, 538, 1082, 1114, 3029, 563, 2005, 814, 1044, 1031, 607, 2757, 4915, 267, 2523, 538, 9705, 267, 1141, 621, 568, 1572, 968, 14741, 6614, 758, 892, 543, 568, 1419, 13881, 6151, 610, 12015, 563, 2026, 2907, 5018, 4262, 21263, 814, 1082, 1114, 3156, 267, 689, 16392, 547, 11477, 267, 855, 621, 779, 849, 519, 1034, 1455, 946, 607, 606, 12146, 538, 11114, 11951, 269, 898, 666, 581, 1336, 12015, 610, 4195, 693, 1034, 7489, 17365, 8637, 267, 543, 621, 568, 2356, 4421, 840, 1790, 871, 3042, 609, 824, 5820, 899, 7573, 25394, 610, 30653, 563, 5353, 320, 21263, 3568, 1082, 5567, 971, 607, 7513, 267, 13101, 267, 4401, 267, 11379, 267, 543, 9770, 543, 568, 849, 513, 2067, 5394, 10273, 267, 865, 621, 568, 3501, 585, 1818, 5347, 625, 267, 27130, 267, 543, 824, 2635, 10346, 563, 1432, 616, 519, 2657, 11588, 18222, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 2910, 19170, 1315, 13636, 1299, 8836, 1315, 2296, 267, 13677, 1299, 21730, 1315, 8899, 1633, 13677, 27804, 1186, 543, 19731, 338, 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, 1015, 281, 32680, 4432, 580, 17156, 910, 1879, 24310, 543, 27083, 4518, 8625, 692, 5331, 2348, 1569, 547, 1079, 2462, 10516, 11435, 2407, 540, 2564, 1434, 625, 256, 2334, 781, 1018, 4523, 950, 2576, 3587, 14718, 585, 1312, 24310, 543, 27083, 3292, 693, 519, 1482, 942, 269, 1452, 18822, 2043, 616, 1634, 607, 834, 706, 531, 11869, 17156, 2437, 543, 789, 1205, 930, 9735, 2640, 602, 666, 2731, 948, 873, 856, 952, 789, 991, 6266, 540, 3782, 2533, 269, 2913, 781, 4685, 883, 891, 15813, 2564, 3292, 543, 1451, 875, 789, 960, 1927, 899, 1655, 2828, 5885, 1142, 824, 780, 1262, 8469, 545, 732, 281, 589, 717, 3424, 20045, 9509, 540, 6481, 6153, 625, 630, 8512, 476, 272, 21143, 4131, 781, 1376, 676, 1620, 24310, 267, 799, 2337, 1004, 9907, 476, 4792, 543, 4587, 267, 607, 1134, 607, 7820, 11570, 945, 2743, 1808, 7355, 971, 607, 9124, 610, 7736, 8609, 11412, 531, 8376, 630, 2464, 31686, 1040, 1703, 616, 2185, 1292, 2694, 540, 24310, 281, 3487, 589, 630, 295, 2214, 1388, 15928, 1070, 3487, 645, 630, 21357, 15928, 1070, 3487, 595, 630, 8469, 545, 732, 1520, 2779, 720, 12697, 1070, 543, 3487, 667, 630, 15430, 5524, 10684, 15147, 720, 1040, 1411, 1522, 1589, 540, 24310, 607, 835 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1012, 29892, 609, 32227, 692, 17367, 18380, 815, 27835, 4067, 9166, 1412, 7692, 22779, 262, 720, 9166, 476, 1321, 2676, 262, 18244, 9166, 7183, 454, 10926, 17367, 19553, 5459, 815, 795, 5459, 6155, 7927, 9638, 3205, 18380, 994, 28744, 263, 6943, 9638, 3205, 19553, 5459, 4297, 12361, 1193, 454, 17367, 6958, 1400, 815, 795, 5459, 269, 2903, 338, 9638, 3205, 19553, 5459, 994, 28744, 263, 6943, 9638, 3205, 6958, 1400, 4297, 12361, 9598, 692, 1012, 476, 10900, 19203, 12361, 454, 1012, 29892, 609, 1776, 32227, 692, 17367, 18380, 273, 815, 1496, 346, 262, 4067, 9166, 1412, 7692, 22779, 262, 720, 9166, 476, 1321, 2676, 262, 18244, 9166, 476, 271, 454, 348, 2676, 346, 262, 4067, 9166, 1412, 4537, 1695, 22779, 262, 720, 9166, 476, 3393, 2676, 262, 18244, 9166, 476, 272, 454, 348, 2676, 346, 262, 4067, 9166, 1412, 13142, 12340, 22779, 262, 720, 9166, 476, 4792, 2676, 262, 18244, 9166, 476, 274, 454, 348, 2676, 346, 262, 4067, 9166, 1412, 288, 6113, 1506, 22779, 262, 720, 9166, 476, 3607, 2676, 262, 18244, 9166, 476, 272, 454, 348, 6540, 17367, 19553, 5459, 273, 815, 795, 5459, 6155, 7927, 9638, 3205, 18380, 273, 994, 2745, 263, 6943, 9638, 3205, 19553, 5459, 273, 4297, 12361, 1193, 454, 17367, 6958, 1400, 273, 815, 795, 5459, 269, 2903, 338, 9638, 3205, 19553, 5459, 273, 994, 2745, 263, 6943, 9638, 3205, 6958, 1400, 273, 4297, 12361, 1592, 692, 1012, 9577, 547, 2132, 2085, 547, 1004, 609, 1152, 476, 272, 1126, 454, 3698, 2085, 318, 5976, 318, 821, 15220, 843, 3287, 2187, 825, 2855, 815, 11713, 825, 585, 513, 538, 1535, 912, 1038, 1820, 5416, 994, 1038, 952, 513, 9131, 18244, 11172, 2652, 476, 272, 912, 2018, 2855, 6910, 5416, 9131, 720, 262, 7481, 825, 2132, 2855, 692, 2745, 263, 720, 318, 5976, 318, 821, 15220, 843, 9638, 3205, 6958, 1400, 273, 11723, 1012, 476, 10900, 955, 8931, 1012, 29892, 609, 6271, 32227, 692, 4752, 823, 18380, 815, 2715, 834, 4752, 823, 9899, 3097, 825, 2715, 257, 4364, 673, 9899, 1496, 454, 8587, 2715, 834, 3336, 5991, 3784, 9899, 476, 1911, 2676, 1038, 834, 2224, 9899, 834, 516, 4003, 20350, 1038, 834, 338, 336, 268, 1111, 9899, 476, 2004, 2676, 1038, 834, 23748, 9899, 476, 4037, 454, 8587, 7684, 2676, 8587, 2715, 834, 3336, 5991, 3784, 9899, 476, 6200, 2676, 1038, 834, 2224, 9899, 834, 11445, 1746, 20350, 1038, 834, 338, 336, 268, 1111, 9899, 476, 7742, 2676, 1038, 834, 23748, 9899, 476, 4037, 454, 8587, 7684, 2676, 8587, 2715, 834, 3336, 5991, 3784, 9899, 476, 9083, 2676, 1038, 834, 2224, 9899, 834, 1410, 8727, 20350, 1038, 834, 338, 336, 268, 1111, 9899, 476, 10219, 2676, 1038, 834, 23748, 9899, 476, 5611, 454, 8587, 7684, 2676, 8587, 2715, 834, 3336, 5991, 3784, 9899, 476, 9818, 2676, 1038, 834, 2224, 9899, 834, 1410, 8727, 20350, 1038, 834, 338, 336, 268, 1111, 9899, 476, 10219, 2676, 1038, 834, 23748, 9899, 476, 5611, 454, 8587, 7684, 2676, 8587, 2715, 834, 3336, 5991, 3784, 9899, 476, 10441, 2676, 1038, 834, 2224, 9899, 834, 4752, 823, 20350, 1038, 834, 338, 336, 268, 1111, 9899, 476, 5611, 2676, 1038, 834, 23748, 9899, 476, 1911, 454, 8587, 7684, 454, 825, 9948, 2676, 825, 834, 335, 1046, 532, 9899, 13634, 8587, 834, 331, 6327, 9899, 834, 2181, 26606, 20350, 8587, 834, 5882, 9899, 834, 322, 2642, 20350, 8587, 834, 23748, 9899, 476, 16020, 454, 825, 7684, 454, 476, 7684, 454, 8679, 1012, 1677, 29746, 883, 513, 32227, 5569, 454, 4752, 823, 19553, 5459, 815, 795, 5459, 6155, 7927, 263, 4752, 823, 18380, 264, 1948, 1598, 454, 1012, 1677, 4452, 32227, 883, 513, 9218, 454, 4752, 823, 6958, 1400, 815, 795, 5459, 269, 2903, 338, 263, 4752, 823, 19553, 5459, 264, 1948, 18743, 692, 258, 9577, 547, 2132, 4055, 1297, 543, 946, 6292, 538, 8675, 585, 2564, 13646, 269, 3097, 3698, 4055, 19571, 318, 2224, 3287, 2187, 825, 1239, 815, 1535, 14277, 4752, 823, 257, 6012, 257, 4364, 673, 19312, 1948, 4289, 454, 825, 856, 815, 31460, 825, 585, 513, 538, 1239, 912, 1038, 521, 815, 513, 14277, 3336, 5991, 3784, 31116, 1038, 856, 314, 338, 316, 815, 513, 14277, 2224, 257, 6540, 825, 2132, 856, 692, 2745, 263, 3336, 19571, 318, 2224, 263, 4752, 823, 6958, 1400, 11723, 19638 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5228, 5532, 8217, 1104, 21912, 8266, 267, 19219, 692, 11687, 9078, 22075, 8217, 815, 21912, 8266, 10797, 11687, 9078, 22075, 8217, 14491, 3488, 323, 5073, 11687, 9078, 22075, 8217, 14491, 3488, 322, 5073, 11687, 9078, 22075, 8217, 14491, 3488, 322, 5073, 11687, 9078, 22075, 8217, 14491, 3488, 322, 5073, 11687, 9078, 22075, 8217, 14491, 3488, 321, 5073, 11687, 9078, 22075, 8217, 14491, 3488, 320, 5073, 11687, 9078, 22075, 8217, 14491, 3488, 320, 17210, 2745, 6025, 652, 9078, 22075, 8217, 994, 11687, 9078, 22075, 8217, 31927, 318, 706, 27289, 4590, 2745, 6025, 652, 9078, 22075, 8217, 994, 706, 27289, 815, 31460, 706, 12393, 6958, 895, 815, 8771, 454, 9690, 17045, 815, 1449, 9078, 22075, 8217, 23584, 454, 6112, 1699, 17045, 912, 476, 952, 5918, 27289, 10947, 263, 9690, 17045, 22183, 267, 8771, 2187, 825, 26134, 6958, 895, 815, 6936, 454, 825, 2736, 454, 476, 3116, 912, 825, 5918, 27289, 314, 9690, 17045, 22183, 316, 815, 6936, 454, 825, 1699, 17045, 815, 1699, 17045, 12785, 692, 604, 26134, 6958, 895, 912, 476, 1820, 2891, 8253, 782, 5918, 27289, 6569, 267, 2119, 1586, 32405, 12828, 912, 476, 1820, 2891, 291, 340, 27289, 6569, 267, 8799, 960, 32405, 0, 5814, 3009, 322, 611, 655, 2643, 756, 274, 454, 5814, 11885, 607, 5286, 454, 5814, 21267, 28272, 607, 12301, 692, 23251, 318, 272, 815, 5286, 269, 2102, 5228, 339, 868, 2891, 272, 27406, 5602, 23251, 318, 273, 815, 5286, 269, 2102, 5228, 339, 868, 2891, 273, 27406, 15419, 258, 20412, 622, 5223, 540, 3044, 24017, 912, 7806, 1470, 815, 1253, 318, 272, 14714, 323, 3890, 1315, 1253, 318, 273, 14714, 323, 4590, 2745, 263, 7806, 1470, 994, 2745, 2891, 6701, 519, 3044, 24017, 10199, 3160, 286, 3502, 15419, 258, 13765, 2343, 1275, 13429, 454, 7538, 318, 817, 18870, 815, 6936, 692, 258, 7120, 1277, 9999, 540, 1142, 3892, 454, 10823, 269, 7290, 5560, 626, 318, 272, 267, 13672, 815, 1547, 279, 267, 2343, 539, 815, 6936, 267, 6003, 815, 1412, 23251, 476, 272, 5073, 10823, 269, 7290, 5560, 626, 318, 273, 267, 13672, 815, 1547, 279, 267, 2343, 539, 815, 6936, 267, 6003, 815, 1412, 23251, 476, 273, 5073, 10823, 269, 5586, 754, 4590, 10823, 20481, 4590, 0, 258, 3193, 1016, 2040, 454, 258, 5276, 942, 267, 3586, 2230, 4170, 454, 258, 2132, 5021, 733, 27631, 2040, 538, 1592, 692, 3698, 5021, 5334, 889, 23544, 30044, 8217, 2187, 476, 3193, 318, 3240, 8217, 815, 3193, 30044, 8217, 994, 476, 952, 3193, 318, 3240, 8217, 2999, 476, 271, 281, 2132, 3193, 318, 3240, 8217, 692, 476, 3193, 23544, 815, 476, 271, 454, 476, 3193, 23544, 4671, 571, 14982, 815, 476, 271, 692, 476, 585, 1130, 538, 1250, 8217, 912, 825, 3193, 23544, 4671, 571, 14982, 6834, 1130, 454, 825, 952, 3193, 23544, 4671, 571, 14982, 2999, 476, 271, 281, 3193, 23544, 4671, 571, 14982, 815, 476, 271, 454, 825, 952, 3193, 23544, 4671, 571, 14982, 3436, 3193, 23544, 281, 3097, 8587, 3193, 23544, 815, 3193, 23544, 4671, 571, 14982, 454, 22322, 476, 2132, 3193, 23544, 692, 2971, 570, 2464, 4811, 15562, 5495, 17162, 20231, 18688, 13138, 16604, 476, 2971, 454, 2745, 2891, 346, 271, 4153, 333, 1058, 3160, 1422, 333, 346, 272, 4153, 333, 2715, 273, 4153, 333, 2668, 8971, 32384, 3065, 5334, 889, 23544, 8443, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 25818, 476, 1428, 267, 5021, 5334, 889, 23544, 8443, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 8079, 2652, 476, 1428, 11723, 2745, 2891, 346, 271, 4153, 333, 1058, 3160, 1422, 333, 346, 272, 4153, 333, 2715, 273, 4153, 333, 2668, 8971, 32384, 3065, 5334, 889, 23544, 8443, 268, 272, 267, 910, 272, 267, 910, 273, 267, 910, 275, 267, 910, 276, 267, 910, 280, 267, 910, 1321, 267, 910, 1724, 25818, 910, 272, 267, 5021, 5334, 889, 23544, 8443, 268, 272, 267, 910, 272, 267, 910, 273, 267, 910, 275, 267, 910, 276, 267, 910, 280, 267, 910, 1321, 267, 910, 1724, 8079, 2652, 910, 272, 11723, 2745, 2891, 346, 271, 4153, 333, 1058, 3160, 1422, 333, 346, 272, 4153, 333, 2715, 273, 4153, 333, 2668, 8971, 32384, 3065, 5334, 889, 23544, 8443, 272, 267, 910, 278, 267, 476, 273, 267, 476, 1428, 267, 910, 1556, 267, 476, 273, 25818, 476, 1704, 267, 5021, 5334, 889, 23544, 8443, 272, 267, 910, 278, 267, 476, 273, 267, 476, 1428, 267, 910, 1556, 267, 476, 273, 8079, 2652, 476, 1704, 4917, 0, 5228, 2588, 2812, 1104, 2608, 692, 3698, 4159, 318, 553, 30648, 1417, 720, 263, 1998, 2187, 476, 2132, 1412, 346, 15545, 272, 325, 348, 260, 8339, 8971, 263, 1998, 2608, 476, 1911, 2020, 600, 7571, 7272, 4631, 815, 1496, 15433, 280, 269, 279, 267, 476, 10082, 278, 269, 4510, 267, 476, 1001, 273, 269, 10170, 267, 476, 1220, 274, 269, 271, 267, 476, 14689, 279, 269, 4905, 267, 476, 15433, 271, 269, 1704, 267, 476, 5611, 272, 269, 9032, 267, 476, 14378, 279, 269, 10463, 267, 476, 14321, 280, 269, 10695, 267, 476, 9965, 271, 269, 4037, 267, 476, 4572, 277, 269, 7367, 267, 476, 10082, 276, 269, 5881, 267, 476, 6245, 274, 269, 8287, 2639, 20623, 599, 7272, 4631, 815, 1496, 3374, 269, 7176, 267, 476, 3451, 269, 273, 267, 476, 4097, 269, 3374, 267, 476, 3953, 269, 6507, 267, 476, 2764, 269, 10037, 267, 476, 3066, 269, 7830, 267, 476, 2767, 269, 10436, 267, 476, 3451, 269, 4375, 267, 476, 4391, 269, 4905, 267, 476, 4391, 269, 271, 267, 476, 4343, 269, 277, 267, 476, 3374, 269, 11152, 267, 476, 4375, 269, 276, 6540, 258, 3503, 3009, 1934, 454, 258, 476, 273, 268, 275, 269, 12719, 519, 32568, 3928, 540, 2132, 912, 3698, 1205, 318, 4958, 5281, 9638, 4631, 2187, 476, 7024, 815, 11713, 476, 585, 1775, 538, 2039, 12759, 9638, 4631, 264, 910, 476, 272, 2187, 825, 7024, 6910, 263, 20412, 622, 318, 8421, 318, 8873, 9638, 4631, 5157, 3910, 5777, 5157, 1341, 476, 272, 28413, 476, 2132, 7024, 692, 258, 476, 276, 269, 912, 600, 7571, 318, 4958, 5281, 815, 1205, 318, 4958, 5281, 263, 600, 7571, 7272, 4631, 994, 20623, 599, 318, 4958, 5281, 815, 1205, 318, 4958, 5281, 16216, 321, 599, 7272, 4631, 2020, 258, 476, 277, 269, 912, 2745, 2891, 8649, 7571, 10865, 7024, 281, 14307, 14307, 834, 269, 21860, 8443, 5891, 318, 553, 30648, 1417, 720, 263, 8421, 318, 4958, 584, 332, 264, 585, 2845, 318, 4958, 584, 332, 538, 32312, 318, 4958, 5281, 28413, 2745, 2891, 292, 321, 599, 10865, 7024, 281, 14307, 14307, 834, 269, 21860, 8443, 5891, 318, 553, 30648, 1417, 720, 263, 8421, 318, 4958, 584, 332, 264, 585, 2845, 318, 4958, 584, 332, 538, 552, 321, 599, 318, 4958, 5281, 8079, 2020, 258, 476, 278, 269, 5173, 519, 5993, 2557, 540, 2132, 912, 600, 7571, 318, 2335, 783, 318, 4958, 5281, 815, 2040, 263, 600, 7571, 318, 4958, 5281, 994, 2745, 2891, 8649, 7571, 5993, 7024, 281, 14307, 4159, 318, 553, 30648, 1417, 720, 263, 600, 7571, 318, 2335, 783, 318, 4958, 5281, 4917, 20623, 599, 318, 2335, 783, 318, 4958, 5281, 815, 2040, 16216, 321, 599, 318, 4958, 5281, 994, 2745, 2891, 8649, 7571, 5993, 7024, 281, 14307, 4159, 318, 553, 30648, 1417, 720, 16216, 321, 599, 318, 2335, 783, 318, 4958, 5281, 11723, 258, 476, 279, 269, 12719, 519, 13065, 540, 1142, 6006, 779, 10865, 7024, 912, 600, 7571, 318, 19702, 766, 815, 5173, 318, 19702, 766, 263, 600, 7571, 318, 4958, 5281, 994, 20623, 599, 318, 19702, 766, 815, 5173, 318, 19702, 766, 16216, 321, 599, 318, 4958, 5281, 994, 2745, 2891, 763, 13065, 585, 8835, 779, 10865, 7024, 568, 14307, 32312, 318, 19702, 766, 994, 2745, 2891, 763, 13065, 585, 661, 321, 599, 779, 10865, 7024, 568, 14307, 552, 321, 599, 318, 19702, 766, 994, 2745, 2891, 288, 3152, 13065, 3622, 19752, 513, 1981, 1512, 5092, 1701, 2020, 258, 476, 280, 269, 5173, 519, 3044, 11539, 540, 1142, 6006, 779, 10865, 7024, 912, 600, 7571, 14067, 323, 815, 5173, 14067, 323, 22563, 263, 600, 7571, 318, 4958, 5281, 994, 20623, 599, 14067, 323, 815, 5173, 14067, 323, 22563, 16216, 321, 599, 318, 4958, 5281, 994, 2745, 2891, 763, 3044, 11539, 540, 8835, 781, 10865, 7024, 568, 14307, 4159, 318, 553, 30648, 1417, 720, 263, 600, 7571, 14067, 323, 4917, 2745, 2891, 763, 3044, 11539, 540, 661, 321, 599, 781, 10865, 7024, 568, 14307, 4159, 318, 553, 30648, 1417, 720, 16216, 321, 599, 14067, 323, 4917, 2745, 2891, 8649, 7571, 779, 10865, 7024, 723, 513, 3152, 3044, 11539, 982, 552, 29074, 779, 269, 30799, 538, 8835, 6006, 568, 2693, 1981, 1512, 1701, 2020, 258, 476, 1015, 269, 5173, 519, 9756, 1063, 519, 6006, 7024, 912, 14585, 21975, 318, 600, 7571, 318, 20623, 599, 815, 5173, 6831, 528, 21975, 263, 600, 7571, 318, 4958, 5281, 267, 552, 321, 599, 318, 4958, 5281, 994, 2745, 2891, 763, 9756, 1063, 2549, 1783, 781, 543, 661, 321, 599, 781, 6006, 7024, 568, 14307, 9756, 318, 600, 7571, 318, 20623, 599, 994, 2745, 2891, 11004, 568, 513, 9793, 2318, 9756, 23528, 0, 5228, 737, 28328, 14714, 534, 5112, 330, 28328, 1104, 2608, 8528, 12163, 17572, 281, 11068, 4812, 298, 28328, 18258, 454, 2411, 9339, 454, 2691, 596, 9096, 1603, 621, 267, 11068, 4812, 298, 28328, 1058, 454, 548, 1511, 513, 581, 4177, 593, 519, 7944, 14191, 547, 519, 4099, 540, 476, 272, 560, 9335, 454, 263, 528, 2901, 540, 519, 1079, 3844, 15174, 952, 476, 272, 560, 9335, 814, 606, 1256, 454, 15893, 540, 15174, 1040, 476, 918, 28328, 666, 2322, 1524, 3606, 581, 788, 619, 607, 621, 454, 19972, 338, 585, 519, 30268, 267, 855, 1590, 4584, 873, 909, 1586, 1354, 621, 454, 560, 3591, 269, 476, 634, 1158, 949, 581, 540, 1022, 2450, 267, 855, 596, 616, 4847, 547, 454, 817, 2541, 602, 621, 568, 693, 2547, 607, 7381, 607, 621, 568, 2647, 563, 20701, 454, 3698, 1292, 10031, 825, 8173, 825, 4466, 519, 30268, 585, 918, 28328, 454, 825, 29185, 825, 3350, 318, 935, 1288, 4590, 825, 7944, 318, 935, 1288, 10797, 19638, 3698, 7944, 318, 935, 1288, 10031, 825, 1247, 4395, 318, 529, 318, 4565, 18088, 10031, 1038, 2490, 318, 3847, 4590, 1038, 2490, 318, 3847, 4590, 825, 952, 581, 788, 619, 7272, 6974, 10031, 1038, 1847, 4590, 825, 3116, 912, 1038, 2322, 318, 2041, 4177, 4590, 1038, 1847, 10797, 3698, 3350, 318, 935, 1288, 10031, 825, 1247, 4395, 318, 529, 318, 27234, 10031, 1038, 1847, 10797, 19638, 19638, 19638, 19638, 3698, 827, 4671, 1248, 10031, 825, 2490, 318, 3847, 4590, 825, 2490, 318, 3847, 10797, 19638, 7531, 258, 1703, 568, 1100, 991, 547, 12575, 3009, 3564, 713, 1448, 692, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 2196, 17624, 28328, 318, 32491, 4590, 0, 258, 2843, 504, 3522, 23783, 7549, 7846, 31124, 4344, 18775, 454, 258, 2843, 510, 3522, 13194, 4138, 4709, 2843, 509, 396, 502, 23417, 3097, 6112, 6936, 912, 825, 2119, 912, 1038, 513, 815, 703, 9272, 2891, 29551, 8563, 29391, 4138, 16021, 10780, 21268, 8563, 3378, 3264, 24893, 25986, 6459, 3378, 281, 27363, 1038, 10956, 815, 834, 336, 4840, 1038, 1247, 10956, 2652, 834, 336, 13426, 2018, 2119, 912, 3546, 5106, 267, 536, 815, 3403, 2891, 29551, 8563, 29391, 4138, 16021, 16068, 10528, 3264, 13077, 30530, 19628, 263, 31956, 910, 267, 2608, 267, 1315, 267, 2878, 267, 815, 5148, 2843, 507, 396, 494, 396, 500, 396, 506, 396, 502, 396, 351, 396, 499, 2843, 509, 396, 510, 396, 508, 396, 495, 396, 499, 396, 505, 282, 31560, 8563, 29391, 4138, 16021, 24893, 4138, 322, 6459, 3378, 281, 20257, 20889, 4590, 3546, 536, 815, 703, 6357, 994, 3546, 952, 476, 5106, 2652, 834, 266, 13426, 7386, 513, 815, 513, 1341, 536, 454, 3546, 8640, 5106, 2652, 29038, 13426, 7386, 513, 815, 513, 910, 536, 454, 3546, 8640, 5106, 2652, 834, 265, 13426, 7386, 513, 815, 513, 2608, 536, 454, 3546, 8640, 5106, 2652, 834, 270, 13426, 7386, 952, 536, 11203, 476, 271, 912, 13376, 513, 815, 513, 1315, 536, 454, 7386, 3116, 912, 13376, 1820, 2891, 396, 508, 20732, 4138, 16648, 18547, 256, 2843, 507, 3522, 14359, 17201, 9841, 18194, 3264, 20434, 31224, 14359, 3264, 23783, 13194, 9326, 32405, 13376, 1820, 2891, 396, 509, 5284, 379, 4814, 29652, 7846, 13953, 16021, 31128, 27569, 3264, 476, 13077, 13194, 907, 23528, 3546, 8640, 5106, 2652, 834, 1262, 13426, 7386, 513, 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, 2304, 896, 331, 9707, 15098, 1062, 5161, 540, 3677, 9325, 2450, 8831, 619, 899, 25590, 659, 26792, 267, 13669, 322, 267, 932, 1779, 543, 645, 776, 5052, 269, 634, 7453, 2825, 7939, 6411, 971, 607, 11555, 21815, 630, 8802, 626, 1674, 267, 16214, 267, 8191, 5314, 543, 10163, 9689, 540, 11906, 6878, 3738, 616, 4101, 835, 585, 15098, 1106, 22399, 1317, 789, 616, 711, 4847, 547, 946, 1022, 540, 13818, 2326, 538, 741, 15098, 30422, 269, 9603, 547, 602, 267, 6985, 622, 5627, 23541, 267, 13818, 30177, 543, 13818, 21187, 616, 3592, 17049, 538, 1082, 2477, 269, 4935, 267, 513, 1353, 593, 968, 291, 7371, 619, 542, 267, 1915, 5314, 543, 4152, 593, 15006, 12644, 540, 15089, 984, 776, 5052, 267, 15089, 16438, 599, 1299, 15089, 5255, 1779, 538, 12443, 675, 628, 2033, 896, 4494, 8825, 23541, 892, 568, 3144, 909, 585, 7634, 269, 634, 1292, 6662, 540, 1657, 7634, 568, 547, 5372, 26537, 622, 5627, 23541, 269, 901, 1902, 326, 566, 729, 18808, 538, 1614, 5933, 971, 607, 17183, 14842, 2553, 540, 15089, 5255, 1779, 267, 15089, 984, 776, 5052, 543, 15089, 16438, 599, 282, 291, 7371, 619, 542, 2553, 540, 15089, 5255, 1779, 267, 15089, 984, 776, 5052, 543, 15089, 16438, 599, 282, 10886, 5314, 543, 15006, 12644, 540, 24797, 30594, 2169, 11367, 543, 2627, 9168, 30594, 2169, 11367, 538, 12443, 675, 628, 2033, 23541, 269, 0, 1607, 12744, 2982, 2985, 476, 272, 269, 6178, 909, 547, 2070, 519, 2407, 1543, 563, 4462, 8971, 1540, 1257, 12744, 281, 476, 280, 269, 14674, 519, 3334, 540, 519, 28218, 307, 4542, 269, 5903, 519, 7840, 585, 9025, 8516, 267, 16757, 8516, 267, 543, 8112, 269, 476, 1015, 269, 10127, 341, 517, 523, 16754, 630, 2457, 476, 6795, 540, 707, 1837, 2567, 1411, 786, 991, 547, 1205, 476, 274, 16889, 2295, 3928, 593, 476, 274, 1114, 2395, 1547, 13159, 519, 6310, 4542, 593, 2985, 476, 6795, 1547, 476, 1556, 269, 5903, 519, 3334, 540, 513, 15904, 543, 4766, 519, 2956, 540, 1142, 269, 476, 1321, 269, 11512, 519, 3741, 540, 20358, 543, 9542, 267, 23506, 267, 1367, 3604, 267, 1299, 10941, 2225, 543, 875, 789, 4019, 547, 8516, 2866, 269, 476, 1724, 269, 7756, 5573, 1063, 16757, 4222, 543, 16608, 543, 2491, 875, 519, 2866, 15320, 269, 476, 1691, 269, 5903, 519, 2640, 540, 4187, 2866, 543, 7840, 585, 513, 2922, 543, 2500, 17666, 15904, 269, 476, 1428, 269, 11512, 519, 2956, 540, 8112, 3823, 18942, 2773, 267, 5945, 6604, 267, 543, 2298, 540, 1272, 269, 476, 1626, 269, 10576, 3106, 9270, 2404, 609, 3635, 19601, 8698, 9509, 11657, 454, 1607, 4063, 729, 23345, 593, 476, 6734, 270, 1839, 270, 1220, 279, 585, 519, 1576, 918, 12114, 476, 2735, 6026, 676, 7905, 7102, 1282, 519, 11354, 1412, 5400, 2165, 693, 7147, 589, 261, 300, 563, 268, 11354, 1412, 5400, 0, 27746, 4211, 5055, 790, 3751, 1923, 9435, 281, 634, 14890, 540, 2353, 5689, 611, 625, 454, 1103, 519, 476, 3192, 271, 338, 267, 6307, 1849, 18311, 3751, 3459, 14236, 4719, 6402, 540, 2860, 538, 3885, 267, 543, 4362, 519, 4719, 15817, 602, 3123, 6089, 2860, 267, 18445, 602, 1978, 2010, 540, 6089, 11871, 616, 4719, 3676, 563, 10112, 793, 2047, 547, 707, 1053, 1210, 519, 3009, 610, 3095, 1657, 267, 1510, 2348, 873, 2845, 538, 269, 15439, 2995, 707, 1053, 547, 979, 547, 454, 4178, 4877, 2125, 29324, 3820, 543, 4283, 519, 12143, 8943, 267, 610, 4945, 593, 519, 12143, 15745, 547, 2671, 519, 7084, 607, 513, 3095, 269, 0, 8025, 3041, 6167, 3951, 5442, 12710, 11070, 2464, 674, 26097, 700, 8577, 2177, 12813, 23177, 11123, 21450, 654, 7417, 298, 674, 5357, 299, 8582, 5058, 5254, 13263, 2752, 9169, 11123, 25265, 2177, 2910, 3918, 269, 11242, 616, 3946, 593, 543, 2502, 563, 763, 1739, 2035, 616, 4988, 912, 27154, 9249, 543, 11585, 454, 29670, 543, 6348, 6441, 1516, 7103, 454, 29670, 267, 15239, 6441, 1516, 2759, 543, 13594, 454, 13328, 9249, 2759, 543, 13594, 454, 289, 2273, 781, 9566, 2681, 543, 6445, 538, 10145, 2534, 630, 18314, 2157, 994, 10521, 9212, 540, 3662, 5961, 547, 2759, 543, 22495, 622, 585, 18570, 267, 610, 547, 581, 1031, 676, 1053, 585, 824, 2238, 538, 3992, 4566, 454, 277, 7226, 1319, 338, 538, 2681, 267, 543, 3109, 270, 19009, 585, 18570, 454, 27154, 5013, 1382, 7792, 630, 18314, 2157, 994, 7069, 21173, 3662, 7792, 454, 22711, 2985, 3382, 454, 8002, 8481, 616, 849, 3769, 538, 519, 3992, 4566, 609, 8846, 585, 1585, 3756, 543, 1148, 2238, 563, 30108, 2200, 281, 5961, 540, 8737, 2472, 267, 4480, 2689, 585, 12414, 543, 13185, 267, 4116, 10274, 454, 5278, 12449, 689, 1250, 12827, 1122, 1429, 923, 2593, 0, 5353, 1143, 1227, 9678, 7515, 454, 763, 9804, 7515, 616, 519, 7344, 8818, 1063, 519, 12511, 1062, 543, 519, 2789, 3942, 28764, 20022, 1949, 1031, 547, 7080, 754, 1292, 543, 606, 322, 16736, 25852, 540, 519, 31785, 10309, 269, 3962, 3349, 568, 6462, 676, 513, 1530, 1143, 545, 2311, 1084, 6672, 3590, 630, 306, 3008, 1040, 634, 590, 3008, 568, 513, 3670, 5232, 6361, 1922, 516, 4520, 19089, 5248, 1807, 3246, 519, 2556, 31364, 689, 519, 2666, 2890, 572, 1143, 545, 6846, 799, 568, 519, 1292, 2825, 2707, 540, 19717, 585, 519, 6901, 538, 519, 4908, 2039, 689, 476, 271, 269, 272, 547, 476, 1911, 21636, 269, 2311, 1084, 6672, 2188, 3677, 982, 476, 3583, 28108, 693, 476, 1015, 21636, 616, 4397, 538, 7299, 543, 519, 8880, 4287, 2059, 519, 1292, 7852, 540, 519, 31785, 10309, 563, 274, 5937, 2203, 540, 519, 476, 1015, 2173, 18634, 10072, 7515, 563, 21430, 938, 2978, 519, 9602, 652, 1747, 593, 3047, 454, 763, 3047, 12933, 7575, 14477, 543, 11179, 609, 7586, 6421, 1419, 23630, 519, 25050, 1377, 609, 513, 29577, 8552, 13856, 693, 1970, 12451, 630, 10964, 578, 476, 271, 269, 274, 21636, 264, 676, 519, 968, 338, 895, 892, 540, 519, 5836, 779, 2220, 749, 630, 1492, 865, 10777, 2890, 572, 1143, 545, 8445, 1040, 589, 1804, 2179, 540, 6846, 1915, 3278, 519, 4908, 6512, 476, 272, 268, 1015, 21636, 538, 3810, 4683, 1242, 2127, 607, 519, 1267, 540, 519, 1480, 2238, 630, 10852, 569, 6808, 1040, 589, 6093, 1383, 568, 938, 8097, 10689, 267, 4092, 538, 25708, 30567, 1478, 11303, 676, 9897, 543, 911, 332, 1811, 543, 1906, 4627, 7397, 689, 519, 30567, 1478, 6953, 664, 3128, 345, 16749, 22882, 269, 26432, 543, 8880, 771, 2897, 906, 909, 547, 476, 4968, 16354, 3597, 268, 11743, 30026, 1657, 476, 272, 21636, 666, 581, 6027, 609, 513, 17688, 10309, 593, 519, 10689, 6989, 1282, 24817, 267, 827, 1614, 9753, 540, 9588, 811, 982, 693, 519, 1634, 9602, 652, 1747, 593, 3047, 267, 519, 1627, 306, 5183, 1530, 1143, 545, 13749, 630, 12901, 541, 18377, 267, 476, 276, 2173, 3796, 689, 519, 3162, 24504, 267, 476, 4968, 2173, 2620, 538, 519, 4672, 1916, 763, 25852, 7080, 5014, 723, 741, 6949, 1734, 538, 519, 1482, 476, 272, 268, 1015, 21636, 6512, 543, 4061, 621, 568, 1360, 1271, 547, 9244, 2569, 519, 17931, 540, 519, 5163, 540, 519, 9804, 7515, 693, 1346, 12451, 547, 2057, 20358, 532, 519, 25852, 1852, 1949, 4929, 6846, 13297, 543, 12145, 519, 8417, 24276, 538, 519, 6901, 269, 769, 519, 590, 3008, 519, 20381, 22887, 6672, 568, 5833, 1780, 1947, 1210, 519, 3601, 540, 519, 7344, 14251, 2209, 799, 22887, 10663, 267, 607, 2034, 19195, 1970, 1780, 12086, 267, 1657, 741, 2067, 4908, 563, 763, 7515, 7500, 609, 1360, 1970, 2067, 12451, 267, 476, 271, 269, 4962, 21636, 538, 8880, 543, 476, 271, 269, 272, 21636, 538, 7299, 267, 3850, 1804, 19089, 21109, 12753, 547, 581, 6913, 269, 634, 6322, 10072, 540, 476, 2568, 28108, 693, 476, 274, 21636, 538, 1312, 8846, 786, 1118, 938, 9804, 7515, 607, 9602, 607, 519, 2620, 4672, 693, 519, 3162, 24504, 563, 2304, 10532, 540, 519, 1530, 1143, 545, 2311, 1084, 6672, 3590, 454, 763, 590, 3008, 568, 513, 4625, 2688, 3926, 5827, 547, 1683, 538, 513, 2582, 3942, 19089, 10072, 2188, 711, 24276, 267, 547, 938, 1702, 267, 676, 1022, 4540, 5010, 610, 8047, 2919, 1062, 269, 4706, 1374, 568, 6508, 689, 513, 18634, 3926, 630, 295, 4456, 4149, 3008, 281, 21222, 7267, 7457, 21602, 1530, 1143, 545, 2311, 1084, 6672, 3590, 264, 3710, 676, 2836, 27700, 538, 476, 1220, 277, 538, 519, 5943, 540, 519, 681, 22936, 585, 519, 14965, 5951, 18785, 11628, 700, 5456, 302, 1547, 3776, 9804, 3349, 267, 9967, 540, 513, 16243, 5374, 9932, 18474, 7143, 4765, 2497, 476, 11260, 271, 343, 11260, 271, 343, 6110, 6515, 267, 18795, 593, 1614, 7299, 19089, 5248, 2209, 630, 24887, 12086, 264, 3246, 7344, 10220, 2059, 519, 7299, 267, 12334, 543, 5066, 5232, 540, 5191, 563, 17359, 2070, 540, 519, 1530, 1143, 545, 2311, 1084, 6672, 3590, 563, 10376, 6882, 568, 513, 7113, 762, 5614, 1500, 676, 513, 13862, 540, 17208, 18085, 850, 591, 19059, 19316, 1142, 1996, 519, 824, 281, 519, 28653, 24293, 2566, 5932, 606, 4550, 1606, 7428, 1198, 630, 613, 6248, 4550, 1606, 7428, 264, 476, 602, 2636, 513, 1360, 1970, 2500, 20765, 547, 581, 6913, 538, 519, 7299, 4287, 693, 519, 22194, 4452, 269, 7849, 12451, 1524, 547, 476, 271, 269, 273, 21636, 666, 581, 5833, 676, 7344, 16369, 540, 519, 13496, 2557, 282, 3476, 2067, 5712, 666, 581, 6913, 676, 7311, 2318, 5955, 630, 810, 10777, 5907, 4550, 1606, 7428, 1040, 634, 24880, 540, 519, 19059, 7182, 519, 5934, 19089, 18993, 1170, 2225, 547, 910, 2568, 28108, 267, 799, 666, 581, 4824, 909, 547, 910, 3199, 28108, 676, 1210, 519, 3710, 2987, 9104, 2209, 630, 810, 10777, 9059, 530, 1343, 1916, 10481, 6248, 4550, 1606, 7428, 7299, 5248, 1807, 563, 763, 1614, 12086, 616, 15841, 593, 513, 14461, 6676, 6462, 676, 1614, 30141, 28764, 630, 7709, 264, 7953, 281, 1360, 1970, 2067, 12451, 630, 19925, 476, 271, 269, 4962, 21636, 264, 616, 6913, 585, 519, 8880, 630, 311, 267, 312, 264, 6037, 1049, 12331, 543, 585, 519, 586, 1177, 7154, 267, 676, 9290, 2406, 521, 1944, 519, 7379, 5377, 4827, 999, 547, 22771, 585, 519, 4452, 14965, 18165, 799, 5012, 519, 1062, 547, 519, 16132, 1547, 634, 7379, 1283, 2110, 4827, 675, 31963, 1450, 519, 6882, 6676, 547, 530, 984, 1076, 538, 519, 8880, 7077, 7303, 922, 12334, 270, 2651, 3350, 269, 634, 24880, 540, 519, 7953, 7182, 519, 7379, 5934, 19089, 18993, 1170, 2225, 547, 910, 3583, 28108, 282, 909, 547, 910, 3445, 28108, 666, 581, 6913, 676, 25122, 519, 3710, 2987, 4831, 30135, 563, 295, 528, 714, 7267, 10072, 3942, 563, 763, 29208, 540, 519, 20381, 6846, 693, 519, 590, 3008, 6949, 1734, 1131, 1118, 519, 5163, 540, 519, 7515, 9296, 3228, 2406, 1804, 693, 1970, 12451, 543, 1287, 519, 22887, 340, 2209, 616, 6293, 539, 609, 513, 4015, 540, 8596, 630, 30791, 4756, 11186, 2981, 619, 543, 8880, 5787, 18852, 264, 543, 5639, 16509, 27103, 2209, 547, 1685, 5907, 1110, 531, 14927, 532, 269, 634, 590, 3008, 1852, 568, 1500, 1210, 1360, 10026, 5955, 12086, 543, 568, 3908, 547, 513, 1906, 21636, 19961, 269, 634, 2067, 12032, 547, 519, 2199, 590, 3008, 2962, 568, 519, 2518, 954, 2389, 762, 3845, 543, 10182, 32278, 1210, 519, 6786, 689, 519, 12246, 335, 3290, 25957, 3955, 2536, 10309, 630, 9915, 296, 1916, 589, 269, 853, 5255, 3626, 267, 645, 269, 2806, 15318, 267, 962, 269, 589, 810, 267, 631, 269, 19258, 517, 267, 589, 269, 26450, 565, 7236, 267, 966, 269, 18548, 14024, 267, 667, 269, 595, 1195, 928, 267, 681, 269, 1546, 21946, 17383, 267, 595, 269, 11829, 328, 267, 962, 269, 29399, 267, 589, 269, 25909, 990, 267, 590, 269, 4460, 320, 267, 667, 269, 12228, 12537, 267, 966, 269, 590, 2335, 756, 1446, 267, 595, 17679, 28839, 267, 670, 269, 26232, 600, 9369, 267, 590, 269, 962, 9655, 5866, 267, 2048, 763, 1530, 1143, 545, 2311, 1084, 6672, 3590, 630, 306, 3008, 264, 585, 519, 11628, 700, 5456, 302, 14965, 5951, 31785, 6248, 22572, 8730, 715, 8379, 589, 267, 14179, 269, 476, 6795, 279, 267, 6032, 269, 278, 4391, 268, 4037, 274, 630, 1220, 280, 994, 589, 269, 26450, 565, 7236, 267, 717, 269, 595, 7578, 267, 681, 269, 1546, 21946, 17383, 267, 966, 269, 590, 2335, 756, 1446, 267, 2048, 5353, 1143, 545, 6846, 12086, 267, 7299, 16982, 4908, 5786, 609, 12166, 4550, 1606, 1440, 902, 281, 513, 23250, 1353, 8730, 715, 8379, 589, 267, 14179, 269, 476, 31973, 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 ]
[ 24934, 564, 4917, 2018, 2736, 454, 1038, 3116, 912, 2018, 1820, 2891, 10831, 711, 513, 4570, 966, 28356, 1701, 2020, 2745, 2891, 8702, 547, 519, 7379, 2232, 11718, 23528, 2745, 2891, 2690, 4704, 267, 1142, 966, 28356, 568, 8237, 883, 1315, 2190, 1016, 26506, 267, 1141, 519, 642, 17427, 1297, 568, 519, 3791, 12354, 564, 1701, 2020, 5503, 4732, 2748, 263, 272, 994, 2102, 4733, 318, 760, 3890, 0, 258, 23911, 18402, 616, 513, 2241, 1259, 540, 2870, 12055, 2209, 692, 258, 288, 11718, 602, 10941, 525, 513, 1592, 692, 3698, 9258, 30044, 8217, 2187, 825, 7003, 724, 339, 815, 7003, 30044, 8217, 994, 825, 585, 1775, 538, 2039, 12759, 724, 339, 268, 272, 16427, 272, 16427, 272, 2187, 1038, 6556, 1250, 8217, 5157, 6540, 2745, 2891, 1366, 268, 305, 27654, 5903, 1366, 734, 5602, 1721, 3693, 538, 9258, 8443, 272, 267, 273, 267, 274, 267, 275, 316, 2187, 825, 1820, 16216, 2211, 2020, 258, 17653, 1807, 20309, 454, 2745, 2891, 1366, 268, 17653, 1807, 20309, 1366, 268, 15419, 3240, 8217, 815, 1496, 272, 267, 273, 267, 274, 267, 275, 6540, 3240, 8217, 4818, 815, 1496, 343, 266, 273, 585, 1535, 538, 1250, 8217, 2639, 2745, 30044, 8217, 4818, 994, 3240, 318, 10090, 1807, 815, 630, 343, 266, 273, 585, 1535, 538, 1250, 8217, 264, 8528, 2745, 263, 10113, 30044, 318, 10090, 1807, 4917, 2745, 263, 10113, 30044, 318, 10090, 1807, 4917, 2745, 263, 10113, 30044, 318, 10090, 1807, 4917, 2745, 263, 10113, 30044, 318, 10090, 1807, 4917, 258, 17653, 919, 18438, 834, 1805, 641, 296, 614, 566, 4840, 258, 263, 10113, 30044, 318, 10090, 1807, 11723, 258, 2171, 666, 849, 946, 873, 609, 3252, 692, 2745, 4433, 636, 3287, 266, 273, 585, 1535, 538, 1250, 8217, 11723, 18851, 3963, 946, 873, 281, 1358, 616, 2653, 547, 2936, 267, 3965, 3608, 2676, 10517, 6974, 12808, 6908, 263, 514, 3069, 1070, 666, 581, 10398, 601, 1441, 20701, 0, 5814, 15259, 692, 258, 5192, 1699, 15682, 454, 2745, 263, 657, 10947, 322, 23424, 31156, 258, 1820, 263, 657, 10947, 322, 23424, 321, 28829, 1207, 22408, 684, 586, 541, 520, 13799, 344, 528, 454, 258, 1689, 15682, 454, 258, 15259, 26716, 323, 597, 4590, 2745, 2891, 30750, 15419, 258, 5903, 1463, 1559, 543, 6119, 454, 2745, 263, 657, 269, 4289, 323, 597, 31156, 258, 10435, 513, 1007, 30615, 454, 258, 649, 666, 2285, 513, 2619, 610, 621, 5932, 1318, 1934, 454, 258, 15259, 6230, 330, 323, 597, 2891, 291, 523, 30937, 5602, 2745, 263, 657, 269, 4289, 323, 597, 31156, 258, 11412, 5446, 513, 30615, 454, 258, 15259, 269, 1066, 877, 2891, 291, 523, 30937, 14824, 14818, 273, 5602, 2745, 263, 657, 269, 4289, 323, 597, 31156, 258, 3816, 990, 580, 513, 30615, 454, 657, 269, 3944, 323, 597, 2891, 14818, 273, 15419, 258, 15259, 269, 3944, 323, 597, 2891, 14818, 8442, 1948, 21671, 1568, 593, 8900, 1463, 1559, 454, 258, 15259, 31927, 3890, 1630, 26535, 568, 324, 3623, 332, 12011, 528, 454, 2745, 263, 657, 269, 4289, 323, 597, 31156, 258, 1284, 666, 946, 713, 547, 4894, 513, 1875, 8900, 15682, 454, 258, 1104, 9505, 559, 454, 258, 9505, 559, 269, 3944, 29728, 4590 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 606, 28928, 2029, 269, 1306, 513, 1305, 540, 1239, 2798, 2808, 538, 713, 1412, 628, 805, 4879, 262, 14820, 267, 713, 568, 4241, 8631, 269, 6744, 621, 856, 2336, 288, 7168, 1134, 3146, 1783, 539, 267, 4909, 2219, 1184, 585, 1034, 1702, 960, 1382, 269, 901, 5713, 607, 606, 1256, 1732, 18807, 630, 11004, 3562, 268, 1877, 264, 2203, 547, 3391, 519, 4295, 1382, 20104, 1184, 12957, 513, 1702, 11832, 949, 1616, 547, 28433, 267, 3888, 269, 6056, 960, 1587, 26455, 9847, 8061, 517, 13914, 3889, 9847, 8061, 517, 288, 7217, 530, 270, 262, 30874, 674, 2830, 1229, 262, 12747, 19707, 269, 634, 1034, 1271, 10256, 1934, 616, 910, 1412, 25677, 262, 910, 630, 3467, 982, 1175, 2789, 2959, 267, 513, 3942, 2115, 547, 581, 3773, 693, 519, 960, 1587, 3942, 547, 1683, 13597, 264, 543, 910, 1412, 321, 5362, 262, 910, 630, 320, 2022, 12747, 3406, 267, 7766, 8261, 3406, 585, 30599, 4011, 908, 3688, 5542, 547, 1683, 6392, 1916, 29909, 476, 736, 1296, 3516, 267, 950, 6754, 4354, 26385, 729, 513, 1514, 2090, 4116, 693, 519, 1175, 19945, 2989, 1715, 5303, 4400, 3427, 538, 13845, 320, 267, 2836, 604, 1421, 972, 7012, 1406, 1454, 968, 27700, 892, 547, 1489, 1788, 2861, 1565, 269, 968, 2171, 4769, 1406, 1256, 2285, 519, 3214, 4757, 9607, 1394, 1287, 2223, 646, 669, 3089, 956, 269, 4634, 1631, 267, 4354, 26385, 267, 10615, 540, 4354, 337, 454, 1492, 1152, 1919, 1082, 3549, 2965, 798, 896, 519, 16144, 540, 1004, 1646, 568, 547, 723, 606, 5993, 2866, 3620, 2293, 3077, 543, 513, 2951, 6578, 585, 11488, 5520, 547, 19014, 269, 1403, 9946, 2731, 2219, 602, 1004, 941, 741, 6574, 10697, 543, 602, 621, 779, 519, 1648, 543, 5876, 540, 5520, 602, 11479, 5647, 267, 1946, 798, 3549, 798, 865, 2370, 286, 4208, 3085, 1406, 3395, 543, 3384, 1004, 10161, 873, 1175, 607, 1454, 607, 16459, 1007, 19605, 5663, 3937, 610, 519, 5767, 6531, 2861, 5698, 1907, 286, 12812, 1934, 547, 12575, 519, 1543, 454, 7212, 4687, 10721, 4567, 267, 3853, 543, 5075, 616, 11613, 2556, 607, 513, 1702, 960, 15226, 781, 30393, 5943, 267, 891, 1590, 711, 3970, 519, 1582, 30928, 1565, 513, 5234, 4759, 568, 4847, 547, 11654, 269, 901, 568, 2523, 3020, 538, 606, 5736, 1141, 26688, 2242, 666, 10836, 689, 1022, 540, 476, 11740, 5232, 540, 1761, 543, 1022, 1451, 902, 693, 782, 666, 1831, 4570, 2705, 789, 1522, 581, 29829, 538, 942, 540, 991, 563, 296, 946, 1514, 2923, 267, 711, 547, 3533, 1205, 1250, 12326, 968, 719, 972, 5608, 855, 547, 948, 873, 1020, 7444, 543, 15597, 269, 594, 512, 11548, 267, 594, 946, 2123, 267, 12250, 543, 26940, 1357, 8421, 338, 267, 1930, 1569, 13746, 267, 513, 2483, 24404, 787, 962, 601, 332, 2940, 781, 5813, 912, 296, 3494, 519, 1184, 543, 7787, 4330, 1934, 568, 513, 2282, 6099, 2259, 585, 4081, 1382, 543, 8313, 269, 898, 814, 1279, 1044, 942, 585, 519, 18348, 532, 17404, 21445, 4081, 9263, 2689, 1184, 547, 581, 22314, 267, 855, 32055, 2853, 899, 713, 835, 616, 18445, 547, 581, 2484, 9120, 267, 811, 3608, 267, 543, 6038, 811, 2500, 585, 519, 1312, 519, 11001, 543, 20231, 519, 1483, 5411, 9706, 582, 1113, 1829, 716, 832, 269, 4858, 17383, 2336, 292, 514, 7356, 14193, 325, 543, 699, 717, 539, 1678, 523, 2520, 3630, 19816, 267, 546, 879, 1068, 1965, 19804, 5884, 476, 2537, 3687, 9790, 267, 19804, 530, 1221, 518, 737, 558, 921, 1777, 538, 552, 710, 589, 18860, 326, 23042, 32489, 345, 583, 879, 7770, 3768, 705, 326, 601, 523, 19241, 530, 2273, 3541, 546, 2720, 1013, 8636, 997, 515, 631, 10560, 2041, 3438, 795, 27827, 546, 761, 974, 3687, 1393, 269, 654, 773, 1151, 331, 812, 13005, 1100, 577, 1990, 340, 3352, 326, 754, 564, 13195, 737, 2174, 523, 888, 24404, 787, 962, 601, 332, 2940, 781, 5813, 912, 13480, 6503, 4702, 568, 513, 1412, 21720, 2275, 648, 262, 5578, 547, 581, 2919, 676, 782, 2500, 1702, 4600, 269, 12650, 1005, 606, 4398, 16490, 21169, 267, 713, 8642, 20186, 2789, 960, 2238, 547, 3035, 1412, 6503, 262, 1472, 269, 20620, 290, 745, 1017, 569, 267, 519, 6364, 540, 1373, 25274, 31402, 12211, 547, 2152, 540, 5539, 267, 9698, 543, 1569, 269, 1284, 782, 723, 519, 1318, 547, 4628, 7119, 538, 513, 25274, 10276, 12574, 2069, 1062, 543, 538, 606, 5051, 7857, 2213, 2486, 269, 1403, 649, 960, 609, 21711, 538, 519, 1259, 649, 946, 4066, 267, 649, 616, 2111, 547, 1832, 6000, 2922, 2228, 543, 1491, 2407, 5413, 540, 1272, 4960, 3255, 971, 607, 1373, 2111, 547, 4019, 585, 960, 267, 4383, 938, 18083, 267, 610, 581, 851, 540, 938, 2199, 2146, 454, 1607, 568, 835, 540, 519, 1034, 1898, 6835, 594, 11441, 547, 2671, 609, 11570, 1169, 1554, 910, 1702, 568, 513, 24625, 8271, 3860, 957, 1063, 606, 1367, 917, 518, 945, 5932, 2495, 585, 1200, 10774, 574, 1345, 689, 270, 5976, 270, 1721, 513, 917, 518, 2146, 602, 8843, 519, 1482, 2495, 543, 585, 799, 602, 2495, 568, 29829, 538, 930, 1259, 585, 1312, 519, 917, 518, 543, 519, 2146, 269, 2334, 4959, 1702, 269, 18421, 3116, 3025, 6544, 1161, 607, 1702, 568, 2731, 1344, 267, 1256, 519, 1344, 538, 707, 2212, 30314, 910, 1294, 1250, 3135, 585, 811, 281, 5291, 2517, 32474, 518, 520, 26171, 14492, 593, 713, 1523, 563, 1428, 1806, 540, 1239, 32331, 602, 786, 2285, 596, 513, 20501, 1620, 540, 1018, 2306, 513, 1434, 14839, 734, 663, 1018, 2306, 513, 3983, 835, 563, 24404, 787, 962, 601, 332, 2940, 781, 5813, 912, 296, 2731, 899, 1239, 14839, 607, 513, 5578, 9706, 15462, 585, 1565, 1369, 1022, 2796, 950, 1239, 1522, 1683, 5813, 563, 763, 2898, 1448, 609, 14839, 568, 1565, 267, 543, 4687, 1018, 814, 1044, 4121, 563, 763, 1655, 1239, 2079, 1590, 581, 5342, 676, 14374, 543, 3408, 269, 10439, 1436, 568, 513, 1360, 17715, 267, 22192, 1797, 547, 519, 3408, 851, 267, 855, 13533, 14374, 543, 2243, 25194, 1590, 581, 621, 781, 11218, 269, 901, 568, 3020, 1256, 538, 694, 16781, 760, 924, 748, 6602, 267, 607, 1142, 1007, 1565, 1590, 5401, 519, 5934, 2243, 1862, 834, 25585, 24350, 296, 3494, 3642, 786, 1118, 1390, 2212, 3118, 936, 519, 1985, 2947, 1296, 543, 786, 581, 5176, 607, 1271, 607, 519, 1455, 3661, 269, 594, 1175, 1810, 1405, 1589, 3642, 786, 5372, 3425, 267, 693, 2547, 711, 585, 513, 1279, 942, 269, 901, 568, 1946, 594, 6415, 865, 4439, 1501, 593, 4066, 799, 666, 32753, 22847, 14875, 7728, 670, 9331, 3198, 21850, 21822, 5456, 9970, 543, 25783, 19489, 300, 23814, 269, 594, 1589, 602, 781, 1141, 519, 5100, 2724, 1058, 581, 2469, 2336, 21202, 1007, 715, 21612, 2324, 1957, 5267, 621, 3580, 581, 1346, 602, 2154, 2178, 1514, 1983, 2443, 799, 621, 11225, 607, 519, 2702, 547, 960, 609, 1866, 2443, 1945, 602, 814, 8810, 547, 581, 1454, 811, 2352, 547, 25117, 269, 968, 763, 19663, 11957, 540, 4317, 10341, 538, 519, 8534, 10369, 2223, 2982, 602, 5176, 782, 2816, 2208, 2094, 476, 2735, 271, 814, 1044, 538, 23909, 602, 616, 5266, 1514, 5578, 25673, 2443, 543, 621, 13187, 602, 1164, 1606, 330, 2683, 267, 2182, 3562, 22052, 558, 622, 6009, 786, 5051, 3747, 1514, 740, 30794, 1145, 4799, 1103, 513, 2413, 1158, 1141, 1702, 3615, 616, 24819, 543, 16175, 3015, 267, 519, 5107, 540, 7855, 543, 6267, 1590, 11457, 547, 2743, 519, 3395, 2115, 540, 519, 4611, 1164, 19550, 267, 3059, 2486, 269, 4045, 13659, 568, 606, 28928, 267, 2121, 10276, 12574, 1565, 3069, 602, 5267, 519, 1034, 1271, 1267, 540, 513, 1565, 3510, 568, 519, 2702, 540, 519, 15226, 547, 1118, 4296, 1063, 3982, 2093, 1210, 1514, 3854, 543, 519, 6488, 1734, 540, 3059, 5121, 563, 24404, 787, 962, 601, 332, 2940, 781, 5813, 912, 4322, 18960, 11265, 14059, 602, 1118, 1514, 4276, 606, 3160, 1599, 547, 12497, 4070, 616, 519, 2312, 1259, 4464, 585, 2123, 1565, 1949, 630, 26051, 24283, 922, 11610, 4464, 689, 1914, 17942, 8588, 1145, 14386, 901, 568, 1360, 1434, 8631, 2336, 907, 9188, 3145, 5616, 779, 1357, 23258, 267, 621, 543, 824, 3406, 9817, 723, 513, 1360, 3908, 2070, 540, 1018, 779, 856, 972, 269, 630, 5278, 3173, 2161, 602, 3406, 9817, 1152, 1397, 827, 476, 272, 260, 540, 1018, 779, 2965, 2139, 2228, 256, 1916, 2304, 5393, 3209, 543, 9670, 14984, 2856, 602, 729, 7361, 16618, 568, 1373, 4547, 1394, 547, 1272, 676, 713, 1007, 1907, 282, 22175, 5155, 2593, 454, 12988, 538, 519, 2038, 476, 3445, 781, 513, 1297, 540, 1949, 9443, 2645, 941, 1373, 9250, 270, 5658, 9643, 538, 519, 12687, 540, 519, 8313, 540, 8834, 590, 3188, 781, 1433, 282, 634, 25004, 2598, 23002, 910, 630, 339, 8962, 538, 1489, 540, 1949, 3206, 543, 1062, 6384, 1040, 3767, 267, 476, 7176, 260, 540, 891, 941, 10704, 538, 4216, 543, 15561, 6516, 2719, 540, 3044, 11528, 2609, 899, 13632, 543, 8928, 269, 1717, 267, 972, 729, 835, 8037, 9868, 282, 20900, 32095, 326, 5459, 781, 1412, 295, 1410, 6782, 21290, 262, 2409, 543, 11837, 269, 594, 1031, 547, 946, 713, 12191, 543, 1256, 11751, 930, 540, 519, 2168, 2645, 8885, 543, 594, 666, 1867, 519, 2409, 5249, 1360, 1134, 269, 1280, 1296, 32095, 326, 5459, 5128, 6035, 2645, 543, 2533, 910, 594, 3494, 607, 27748, 8249, 267, 855, 585, 8726, 6725, 4128, 267, 519, 1523, 543, 2645, 2760, 2731, 3576, 1055, 269, 594, 993, 30590, 519, 22175, 5155, 11570, 616, 8744, 519, 1379, 540, 15279, 6782, 11707, 2861, 1949, 3206, 1394, 2336, 263, 514, 1489, 540, 1949, 3206, 543, 1062, 6384, 994, 4537, 2130, 707, 1085, 334, 3591, 547, 707, 1514, 2923, 6589, 568, 513, 1590, 547, 15814, 707, 26940, 1543, 269, 3502, 1152, 786, 621, 5397, 6808, 543, 5012, 998, 707, 1543, 267, 855, 621, 786, 948, 1397, 707, 6791, 609, 707, 13794, 563, 1692, 547, 11753, 1250, 3584, 262, 1543, 547, 1250, 3896, 888, 18204, 7992, 707, 26940, 1543, 547, 707, 3896, 610, 5816, 786, 1450, 596, 547, 2333, 707, 3896, 8436, 685, 6278, 267, 5818, 22048, 543, 10536, 1007, 8436, 269, 1635, 28570, 532, 707, 1514, 2923, 6808, 547, 707, 3896, 267, 590, 1723, 641, 269, 527, 786, 849, 948, 596, 5352, 811, 11727, 6808, 543, 5012, 689, 707, 1225, 566, 960, 563, 18850, 1026, 5024, 707, 26940, 1543, 998, 513, 20394, 568, 513, 1390, 1259, 547, 20741, 543, 4497, 707, 4757, 32224, 786, 3384, 707, 6808, 543, 15287, 563, 17730, 2502, 3377, 24393, 609, 707, 26940, 1543, 568, 2731, 2653, 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 ]
[ 540, 519, 4320, 1109, 1993, 519, 14420, 14569, 3812, 676, 18647, 269, 24910, 16976, 602, 646, 666, 11886, 713, 7662, 676, 2921, 4351, 5439, 2047, 689, 519, 2504, 1899, 269, 24910, 6487, 602, 519, 3732, 13065, 568, 606, 28102, 3934, 1807, 540, 519, 2551, 13065, 267, 855, 646, 16976, 547, 3132, 606, 8884, 7447, 540, 519, 13065, 540, 519, 4320, 1109, 1993, 14420, 14569, 269, 1261, 849, 16976, 602, 1547, 3445, 6015, 786, 581, 1434, 2394, 646, 9060, 856, 811, 827, 1018, 8834, 6499, 780, 298, 5271, 514, 4422, 543, 9060, 519, 1239, 585, 519, 4320, 1109, 1993, 476, 1428, 14477, 5697, 14569, 540, 14420, 267, 543, 1287, 4991, 4712, 547, 946, 519, 6543, 485, 273, 3892, 547, 1118, 513, 1547, 3445, 6015, 8884, 7447, 540, 519, 13065, 540, 519, 4320, 1109, 1993, 519, 14420, 14569, 269, 3571, 6394, 1239, 616, 3254, 2630, 538, 1984, 4106, 637, 1384, 24907, 269, 1321, 267, 476, 3607, 280, 269, 1839, 267, 476, 4391, 273, 269, 1428, 267, 476, 24907, 269, 1691, 267, 476, 3607, 278, 269, 276, 267, 476, 3607, 280, 269, 7918, 267, 476, 4391, 272, 269, 1428, 267, 476, 3607, 280, 269, 3607, 267, 476, 24907, 269, 275, 267, 476, 3607, 279, 269, 4817, 267, 476, 4391, 273, 269, 275, 267, 476, 24907, 267, 476, 3607, 279, 269, 6795, 267, 476, 3607, 280, 269, 1321, 267, 476, 24907, 269, 1839, 692, 4415, 1010, 3732, 540, 476, 1428, 14569, 267, 646, 786, 723, 476, 1691, 17093, 4635, 519, 9185, 10959, 538, 7612, 476, 274, 269, 273, 1657, 267, 646, 3274, 13788, 1547, 4962, 609, 476, 1691, 17093, 835, 942, 267, 543, 1547, 280, 4037, 609, 519, 1482, 17093, 1776, 942, 538, 519, 5835, 2281, 269, 1261, 786, 1265, 602, 1547, 4817, 540, 6543, 485, 273, 616, 3152, 982, 476, 277, 269, 6872, 272, 543, 1152, 1547, 4962, 616, 3152, 982, 476, 2537, 269, 277, 5952, 950, 972, 616, 476, 1691, 17093, 901, 1797, 602, 1547, 3445, 616, 1063, 476, 277, 269, 6872, 543, 476, 2537, 269, 278, 269, 32114, 602, 1010, 3732, 814, 513, 6543, 485, 273, 602, 568, 538, 519, 1647, 1547, 3445, 267, 24910, 4991, 4712, 547, 12337, 519, 7182, 540, 1010, 8884, 269, 901, 942, 24910, 3096, 519, 9185, 22369, 779, 3710, 2987, 3252, 547, 5173, 13065, 543, 3044, 11539, 540, 519, 3732, 1239, 269, 1261, 3096, 1312, 966, 2752, 2529, 267, 543, 31969, 14110, 2529, 269, 547, 5173, 1312, 3732, 13065, 543, 3044, 11539, 269, 1261, 2501, 909, 609, 476, 272, 269, 5780, 607, 3732, 13065, 267, 543, 476, 272, 269, 3066, 20853, 607, 1010, 3732, 3044, 11539, 780, 298, 5271, 514, 1287, 3217, 519, 6543, 485, 273, 4542, 543, 31758, 621, 7466, 267, 2899, 676, 4259, 6543, 485, 273, 3160, 547, 476, 277, 269, 6872, 1384, 7445, 14024, 317, 273, 815, 476, 277, 269, 6872, 272, 815, 476, 272, 269, 5780, 270, 3189, 18406, 318, 273, 10592, 306, 6295, 585, 21566, 273, 267, 646, 9060, 835, 3970, 585, 1010, 8884, 568, 1547, 26562, 269, 1261, 31758, 519, 2034, 942, 676, 4259, 6543, 485, 273, 3160, 547, 476, 2537, 269, 277, 5952, 1384, 259, 2537, 269, 277, 5952, 815, 476, 272, 269, 5780, 270, 3189, 18406, 318, 273, 10592, 663, 1265, 602, 519, 824, 3970, 568, 1547, 5881, 269, 20331, 609, 1010, 1239, 267, 24910, 5359, 547, 519, 2298, 1852, 9614, 602, 968, 5976, 1547, 3445, 6015, 267, 519, 13065, 540, 4320, 1109, 1993, 14569, 540, 14420, 568, 1063, 1547, 5881, 543, 1547, 26562, 892, 780, 1012, 12834, 692, 1432, 1281, 713, 6015, 8631, 1611, 19037, 286, 1109, 1103, 519, 1383, 649, 1705, 4505, 267, 7788, 1336, 602, 968, 5976, 1547, 4817, 6015, 2507, 892, 1548, 4010, 1281, 968, 5976, 1547, 4817, 6015, 892, 1611, 286, 634, 15864, 1259, 547, 1174, 713, 568, 547, 1589, 827, 519, 13429, 602, 7788, 1185, 1500, 602, 1352, 1185, 513, 3732, 609, 513, 1990, 1606, 14537, 602, 729, 711, 538, 519, 21217, 540, 519, 10386, 3892, 269, 2859, 4481, 267, 1352, 10924, 602, 1200, 3732, 1185, 513, 1990, 1606, 14537, 1063, 13008, 272, 269, 9834, 282, 602, 621, 729, 538, 519, 1647, 476, 4817, 829, 1298, 540, 1990, 1606, 13990, 269, 4173, 13429, 568, 3020, 476, 4817, 260, 540, 519, 942, 1317, 476, 4817, 260, 540, 1990, 1606, 13990, 616, 1063, 13008, 272, 269, 9834, 269, 1403, 7788, 1705, 713, 1482, 7447, 267, 1519, 5373, 513, 1007, 3732, 267, 936, 543, 936, 267, 538, 1547, 4817, 540, 1346, 10221, 1431, 267, 519, 2551, 8167, 1131, 581, 1369, 519, 8884, 1317, 538, 1547, 4817, 540, 519, 5439, 519, 1990, 1606, 14537, 1131, 581, 1063, 13008, 272, 269, 9834, 269, 769, 1547, 4817, 540, 519, 10221, 1431, 267, 1200, 7447, 1131, 581, 1318, 269, 0, 290, 1328, 692, 258, 9046, 476, 1321, 269, 25828, 5311, 692, 11405, 476, 12893, 278, 3199, 279, 692, 8138, 4784, 593, 476, 280, 4455, 476, 1001, 278, 676, 12794, 758, 684, 1627, 1014, 454, 1607, 3070, 568, 19526, 269, 1677, 2070, 713, 3070, 267, 596, 991, 547, 1683, 513, 3070, 540, 519, 1482, 2450, 610, 4130, 780, 2162, 4530, 2672, 924, 692, 14818, 21073, 8943, 18452, 543, 19243, 454, 272, 5231, 10426, 454, 333, 815, 476, 272, 282, 535, 815, 476, 272, 282, 7682, 263, 1047, 23974, 6600, 756, 3799, 1070, 325, 11723, 325, 815, 476, 272, 692, 273, 5231, 10426, 454, 333, 815, 476, 277, 282, 535, 815, 476, 279, 282, 7682, 263, 1047, 23974, 6600, 756, 3799, 1070, 325, 11723, 325, 815, 476, 272, 535, 815, 476, 272, 535, 815, 476, 273, 535, 815, 476, 272, 535, 815, 476, 274, 535, 815, 476, 272, 535, 815, 476, 272, 535, 815, 476, 273, 535, 815, 476, 276, 535, 815, 476, 272, 535, 815, 476, 272, 535, 815, 476, 273, 535, 815, 476, 272, 535, 815, 476, 274, 535, 815, 476, 279, 692, 274, 5231, 10426, 454, 333, 815, 476, 1015, 282, 535, 815, 476, 4649, 282, 7682, 263, 1047, 23974, 6600, 756, 3799, 1070, 325, 11723, 325, 815, 476, 272, 535, 815, 476, 272, 535, 815, 476, 273, 535, 815, 476, 272, 535, 815, 476, 274, 535, 815, 476, 272, 535, 815, 476, 272, 535, 815, 476, 273, 535, 815, 476, 276, 535, 815, 476, 272, 535, 815, 476, 272, 535, 815, 476, 273, 535, 815, 476, 272, 535, 815, 476, 274, 535, 815, 476, 279, 535, 815, 476, 272, 535, 815, 476, 272, 535, 815, 476, 273, 535, 815, 476, 272, 535, 815, 476, 274, 535, 815, 476, 272, 535, 815, 476, 272, 535, 815, 476, 273, 535, 815, 476, 276, 535, 815, 476, 1724, 535, 815, 476, 272, 535, 815, 476, 272, 535, 815, 476, 273, 535, 815, 476, 272, 535, 815, 476, 274, 535, 815, 476, 272, 535, 815, 476, 272, 535, 815, 476, 273, 535, 815, 476, 276, 535, 815, 476, 272, 535, 815, 476, 272, 535, 815, 476, 273, 535, 815, 476, 272, 535, 815, 476, 274, 535, 815, 476, 279, 535, 815, 476, 2641, 535, 815, 476, 272, 535, 815, 476, 272, 535, 815, 476, 273, 535, 815, 476, 272, 535, 815, 476, 274, 535, 815, 476, 272, 535, 815, 476, 272, 535, 815, 476, 273, 535, 815, 476, 276, 535, 815, 476, 272, 535, 815, 476, 272, 535, 815, 476, 273, 535, 815, 476, 272, 535, 815, 476, 274, 535, 815, 476, 279, 535, 815, 476, 272, 535, 815, 476, 272, 535, 815, 476, 273, 535, 815, 476, 272, 535, 815, 476, 274, 535, 815, 476, 272, 535, 815, 476, 272, 535, 815, 476, 273, 535, 815, 476, 276, 535, 815, 476, 1724, 535, 815, 476, 4097, 535, 815, 476, 272, 535, 815, 476, 272, 535, 815, 476, 273, 535, 815, 476, 272, 535, 815, 476, 274, 535, 815, 476, 272, 535, 815, 476, 272, 535, 815, 476, 273, 535, 815, 476, 276, 535, 815, 476, 272, 535, 815, 476, 272, 535, 815, 476, 273, 535, 815, 476, 272, 535, 815, 476, 274, 535, 815, 476, 279, 535, 815, 476, 272, 535, 815, 476, 272, 535, 815, 476, 273, 535, 815, 476, 272, 535, 815, 476, 274, 535, 815, 476, 272, 535, 815, 476, 272, 535, 815, 476, 273, 535, 815, 476, 276, 535, 815, 476, 1724, 535, 815, 476, 272, 535, 815, 476, 272, 535, 815, 476, 273, 535, 815, 476, 272, 535, 815, 476, 274, 535, 815, 476, 272, 535, 815, 476, 272, 535, 815, 476, 273, 535, 815, 476, 276, 535, 815, 476, 272, 535, 815, 476, 272, 535, 815, 476, 273, 535, 815, 476, 272, 535, 815, 476, 274, 535, 815, 476, 279, 535, 815, 476, 2641, 535, 815, 476, 4649, 692, 275, 5231, 10426, 454, 333, 815, 476, 736, 282, 535, 815, 476, 6858, 277, 276, 282, 7682, 263, 1047, 23974, 6600, 756, 3799, 1070, 325, 11723, 325, 815, 476, 272, 535, 815, 476, 272, 535, 815, 476, 273, 535, 815, 476, 272, 535, 815, 476, 274, 535, 815, 476, 272, 535, 815, 476, 272, 535, 815, 476, 273, 535, 815, 476, 276, 535, 815, 476, 272, 535, 815, 476, 272, 535, 815, 476, 273, 535, 815, 476, 272, 535, 815, 476, 274, 535, 815, 476, 279, 535, 815, 476, 272, 535, 815, 476, 272, 535, 815, 476, 273, 535, 815, 476, 272, 535, 815, 476, 274, 535, 815, 476, 272, 535, 815, 476, 272, 535, 815, 476, 273, 535, 815, 476, 276, 535, 815, 476, 1724, 535, 815, 476, 272, 535, 815, 476, 272, 535, 815, 476, 273, 535, 815, 476, 272, 535, 815, 476, 274, 535, 815, 476, 272, 535, 815, 476, 272, 535, 815, 476, 273, 535, 815, 476, 276, 535, 815, 476, 272, 535, 815, 476, 272, 535, 815, 476, 273, 535, 815, 476, 272, 535, 815, 476, 274, 535, 815, 476, 279, 535, 815, 476, 2641, 535, 815, 476, 272, 535, 815, 476, 272, 535, 815, 476, 273, 535, 815, 476, 272, 535, 815, 476, 274, 535, 815, 476, 272, 535, 815, 476, 272, 535, 815, 476, 273, 535, 815, 476, 276, 535, 815, 476, 272, 535, 815, 476, 272, 535, 815, 476, 273, 535, 815, 476, 272, 535, 815, 476, 274, 535, 815, 476, 279, 535, 815, 476, 272, 535, 815, 476, 272, 535, 815, 476, 273, 535, 815, 476, 272, 535, 815, 476, 274, 535, 815, 476, 272, 535, 815, 476, 272, 535, 815, 476, 273, 535, 815, 476, 276, 535, 815, 476, 1724, 535, 815, 476, 4097, 535, 815, 476, 272, 535, 815, 476, 272, 535, 815, 476, 273, 535, 815, 476, 272, 535, 815, 476, 274, 535, 815, 476, 272, 535, 815, 476, 272, 535, 815, 476, 273, 535, 815, 476, 276, 535, 815, 476, 272, 535, 815, 476, 272, 535, 815, 476, 273, 535, 815, 476, 272, 535, 815, 476, 274, 535, 815, 476, 279, 535, 815, 476, 272, 535, 815, 476, 272, 535, 815, 476, 273, 535, 815, 476, 272, 535, 815, 476, 274, 535, 815, 476, 272, 535, 815, 476, 272, 535, 815, 476, 273, 535, 815, 476, 276, 535, 815, 476, 1724, 535, 815, 476, 272, 535, 815, 476, 272, 535, 815, 476, 273, 535, 815, 476, 272, 535, 815, 476, 274, 535, 815, 476, 272, 535, 815, 476, 272, 535, 815, 476, 273, 535, 815, 476, 276, 535, 815, 476, 272, 535, 815, 476, 272, 535, 815, 476, 273, 535, 815, 476, 272, 535, 815, 476, 274, 535, 815, 476, 279, 535, 815, 476, 2641, 535, 815, 476, 4649, 535, 815, 476, 272, 535, 815, 476, 272, 535, 815, 476, 273, 535, 815, 476, 272, 535, 815, 476, 274, 535, 815, 476, 272, 535, 815, 476, 272, 535, 815, 476, 273, 535, 815, 476, 276, 535, 815, 476, 272, 535, 815, 476, 272, 535, 815, 476, 273, 535, 815, 476, 272, 535, 815, 476, 274, 535, 815, 476, 279, 535, 815, 476, 272, 535, 815, 476, 272, 535, 815, 476, 273, 535, 815, 476, 272, 535, 815, 476, 274, 535, 815, 476, 272, 535, 815, 476, 272, 535, 815, 476, 273, 535, 815, 476, 276, 535, 815, 476, 1724, 535, 815, 476, 272, 535, 815, 476, 272, 535, 815, 476, 273, 535, 815, 476, 272, 535, 815, 476, 274, 535, 815, 476, 272, 535, 815, 476, 272, 535, 815, 476, 273, 535, 815, 476, 276, 535, 815, 476, 272, 535, 815, 476, 272, 535, 815, 476, 273, 535, 815, 476, 272, 535, 815, 476, 274, 535, 815, 476, 279, 535 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1692, 666, 594, 2333, 1250, 28085, 286, 0, 14240, 540, 1535, 2643, 20738, 454, 281, 513, 26543, 4568, 595, 276, 295, 1321, 302, 276, 602, 568, 513, 12045, 540, 1535, 2643, 846, 267, 568, 5833, 2523, 689, 2840, 577, 13626, 267, 543, 568, 1031, 607, 513, 6653, 10273, 454, 13146, 6201, 540, 1535, 2643, 20738, 689, 519, 5680, 454, 763, 1535, 2643, 20738, 568, 1767, 547, 948, 9243, 1125, 3679, 538, 519, 5023, 267, 799, 538, 2490, 2337, 2569, 519, 1981, 540, 5694, 9178, 267, 19659, 607, 1134, 607, 1646, 540, 2104, 19659, 563, 313, 3326, 760, 3591, 616, 2067, 561, 3326, 760, 3591, 602, 2270, 22980, 628, 761, 565, 267, 1535, 2643, 20738, 543, 2848, 16129, 630, 338, 13610, 8925, 1070, 799, 9243, 1125, 3679, 538, 519, 5023, 543, 2569, 519, 1981, 540, 5694, 9178, 543, 19659, 563, 12179, 3662, 602, 27499, 1535, 2643, 20738, 1058, 723, 7525, 2564, 3007, 563, 4322, 1383, 5220, 616, 5697, 8850, 689, 1585, 2228, 3377, 2959, 547, 2992, 1699, 6165, 540, 519, 2262, 1412, 343, 2643, 20738, 9538, 14358, 6829, 538, 519, 1806, 798, 711, 2099, 519, 6644, 540, 8585, 26713, 268, 31812, 610, 922, 15769, 269, 27189, 721, 5955, 563, 5575, 19612, 2422, 540, 1535, 2643, 20738, 454, 9596, 2859, 827, 1535, 2643, 20738, 454, 19322, 24628, 2593, 281, 15610, 2376, 827, 1535, 2643, 20738, 454, 5353, 523, 543, 1261, 731, 454, 1432, 1500, 596, 1616, 547, 1413, 909, 1535, 2643, 20738, 286, 7490, 2995, 721, 1141, 596, 1224, 610, 4862, 621, 630, 10175, 519, 10839, 267, 952, 2009, 1040, 0, 293, 637, 1667, 2998, 568, 513, 1863, 2816, 22045, 547, 1265, 8668, 267, 645, 17269, 267, 12229, 267, 14502, 2676, 288, 25957, 1677, 8058, 13826, 1656, 590, 749, 2659, 27207, 1299, 1849, 5847, 563, 293, 3241, 532, 20835, 267, 24665, 908, 5647, 563, 9213, 267, 476, 2420, 4728, 568, 9976, 607, 2622, 4826, 4303, 799, 568, 827, 2921, 2962, 547, 10994, 519, 1216, 6433, 269, 4653, 267, 476, 272, 269, 279, 5479, 1004, 946, 513, 2707, 540, 6704, 1216, 13572, 609, 535, 2801, 806, 267, 8380, 873, 693, 1981, 540, 24931, 26601, 5028, 267, 7988, 550, 2044, 267, 27193, 1355, 267, 543, 29887, 269, 1001, 278, 27484, 281, 1948, 3963, 310, 770, 1168, 831, 888, 1607, 1032, 267, 649, 1445, 593, 16894, 543, 2081, 547, 2569, 543, 19074, 607, 936, 476, 3199, 260, 540, 782, 519, 16894, 689, 938, 5321, 267, 4872, 267, 2872, 543, 6683, 8928, 1394, 547, 2470, 3542, 5024, 519, 1604, 543, 9561, 3407, 5567, 543, 824, 9156, 762, 2326, 269, 0, 6944, 757, 7093, 2183, 476, 1460, 288, 1188, 852, 1194, 18488, 1535, 13839, 7072, 1535, 643, 476, 272, 634, 2372, 652, 585, 8056, 677, 1275, 476, 272, 2290, 28914, 16270, 519, 8609, 476, 277, 19663, 8479, 518, 476, 1321, 634, 10003, 589, 3650, 476, 1724, 476, 273, 634, 3778, 540, 15168, 26585, 476, 1691, 634, 7216, 13012, 476, 1428, 5027, 12856, 23512, 2231, 1715, 28636, 476, 1704, 30911, 7169, 3278, 519, 12197, 476, 736, 634, 5403, 268, 7049, 5669, 16527, 476, 2918, 476, 274, 28544, 18567, 476, 3066, 18190, 28544, 476, 1789, 7073, 28544, 476, 1789, 28544, 631, 6242, 923, 476, 4097, 476, 275, 28544, 28636, 476, 3607, 18438, 9697, 770, 23393, 7869, 476, 3607, 2637, 525, 543, 5358, 4364, 28544, 476, 4343, 20052, 727, 637, 476, 4375, 454, 31948, 6361, 6441, 1516, 7869, 476, 6078, 5131, 7101, 25025, 476, 5655, 11671, 754, 18355, 7869, 476, 6246, 1230, 6984, 3816, 10225, 476, 7871, 476, 276, 31701, 14423, 2637, 525, 476, 4649, 14717, 770, 476, 6321, 715, 14670, 1712, 476, 2568, 22500, 26850, 476, 8618, 31040, 476, 5038, 5274, 476, 4792, 12834, 476, 5780, 476, 277, 6520, 7304, 601, 730, 15302, 476, 6924, 12216, 779, 8376, 476, 6924, 1488, 9374, 476, 11025, 9435, 476, 5952, 31292, 8376, 476, 10844, 12128, 476, 7176, 27777, 18576, 476, 1911, 476, 278, 15168, 12278, 338, 476, 10482, 3776, 28544, 5980, 476, 11820, 28518, 519, 15168, 12278, 21111, 476, 8099, 19737, 6520, 7304, 601, 730, 15136, 476, 12208, 10684, 10657, 476, 12893, 16711, 23467, 476, 14138, 19078, 12983, 476, 14056, 476, 279, 1234, 27896, 566, 476, 6344, 5695, 940, 7982, 519, 1849, 1442, 476, 14338, 5027, 5843, 6783, 5811, 476, 11277, 17437, 18734, 5303, 476, 10219, 8426, 674, 4288, 5303, 476, 12553, 454, 1805, 655, 8426, 5811, 476, 12553, 22319, 10657, 476, 14530, 634, 15937, 13268, 720, 476, 15171, 476, 280, 11916, 2558, 10118, 476, 16328, 12216, 779, 8376, 476, 13670, 31292, 8376, 476, 16928, 26268, 821, 1234, 10293, 10657, 476, 16318, 12594, 543, 27999, 476, 13970, 27777, 18576, 476, 16825, 19576, 779, 8376, 476, 14983, 476, 1015, 12754, 4741, 476, 14681, 8426, 10334, 476, 14681, 30911, 476, 14690, 22319, 10657, 476, 9264, 634, 5274, 32081, 5741, 476, 6942, 4197, 11916, 2558, 10118, 476, 5002, 22319, 543, 19871, 715, 32393, 1155, 476, 4572, 1284, 2074, 543, 21474, 476, 4350, 10908, 27443, 476, 3707, 10702, 8249, 476, 23417, 19340, 476, 26951, 454, 7093, 2183, 310, 18911, 519, 1101, 7160, 540, 713, 1305, 729, 1373, 2854, 267, 519, 1007, 7350, 729, 1175, 4098, 547, 2097, 883, 922, 1761, 543, 547, 23024, 1466, 930, 540, 922, 1101, 14286, 269, 667, 14709, 519, 13265, 729, 9800, 543, 6202, 543, 1185, 1175, 9976, 1200, 11359, 14512, 269, 25745, 1591, 3173, 267, 11529, 476, 1321, 16923, 2395, 267, 941, 575, 1342, 344, 609, 519, 19175, 540, 27955, 1169, 323, 1047, 848, 1634, 547, 30768, 267, 855, 941, 21616, 676, 22522, 29798, 543, 519, 3908, 8244, 540, 1480, 25782, 6565, 2281, 14371, 2940, 16293, 267, 1869, 556, 9934, 689, 519, 29070, 717, 1564, 5424, 4693, 540, 1960, 279, 267, 941, 11112, 3843, 547, 4137, 856, 1018, 1185, 8854, 4636, 543, 875, 1729, 2087, 519, 3106, 540, 513, 5650, 602, 1082, 5156, 1131, 2847, 334, 2000, 1081, 1125, 2564, 2257, 269, 1656, 2860, 3173, 267, 1247, 2058, 322, 268, 532, 1082, 18454, 267, 5734, 741, 1378, 3432, 29424, 950, 513, 2101, 12220, 6011, 539, 1152, 16434, 9283, 538, 519, 23567, 585, 782, 540, 519, 1372, 611, 31586, 11871, 269, 476, 1460, 454, 8980, 5058, 4438, 519, 476, 3192, 271, 338, 267, 950, 519, 1007, 7350, 729, 4535, 267, 21921, 5364, 2029, 6039, 547, 556, 523, 1120, 1125, 519, 29345, 3101, 9015, 602, 1979, 565, 268, 522, 4445, 1185, 1831, 269, 901, 1482, 1377, 540, 10761, 31272, 18193, 538, 519, 476, 1960, 271, 338, 609, 519, 11944, 540, 5444, 3797, 267, 519, 28295, 540, 667, 14709, 519, 13265, 267, 543, 519, 3811, 14713, 540, 6565, 2281, 269, 21298, 267, 1390, 10761, 814, 2097, 609, 519, 12032, 540, 519, 1480, 11646, 1788, 543, 519, 11646, 15971, 540, 811, 982, 476, 1911, 3662, 543, 2030, 2249, 269, 5516, 995, 2079, 540, 891, 25450, 814, 838, 1177, 2740, 513, 1007, 7936, 540, 6211, 1382, 1634, 607, 13354, 1024, 15299, 269, 634, 1344, 602, 3744, 666, 1631, 1349, 689, 3662, 25450, 568, 4397, 547, 2087, 782, 824, 8371, 540, 6211, 2257, 269, 3502, 547, 581, 7983, 821, 267, 6565, 1591, 3173, 723, 1336, 513, 1259, 547, 3132, 900, 268, 536, 787, 334, 6438, 6565, 2281, 689, 8723, 2960, 2281, 269, 901, 9740, 711, 1152, 7436, 519, 1439, 540, 519, 1390, 6565, 1591, 7521, 267, 855, 621, 849, 2488, 606, 30140, 3532, 5650, 267, 1634, 607, 10408, 4142, 27075, 807, 268, 512, 542, 267, 585, 4974, 543, 22392, 519, 1360, 9759, 540, 513, 1591, 269, 901, 5650, 786, 1831, 513, 2629, 14049, 538, 519, 4339, 1996, 2860, 543, 1082, 824, 3676, 269, 634, 1007, 7350, 267, 899, 938, 9750, 7122, 267, 814, 1044, 3395, 543, 10825, 693, 606, 27314, 2557, 269, 634, 2179, 540, 1344, 602, 568, 1631, 2139, 593, 891, 3584, 568, 540, 24666, 17114, 269, 4935, 267, 519, 1966, 540, 14045, 1018, 547, 4734, 856, 814, 1831, 607, 546, 604, 268, 535, 2159, 607, 519, 3375, 540, 1018, 547, 1331, 269, 634, 13057, 6240, 538, 1603, 713, 1305, 814, 2141, 1044, 547, 1683, 513, 9488, 7650, 540, 519, 3584, 1510, 11566, 519, 5467, 609, 513, 7823, 540, 5013, 543, 5515, 269, 1677, 581, 2386, 267, 713, 1305, 3568, 1082, 5013, 543, 5515, 267, 855, 891, 723, 1044, 5402, 6074, 547, 9414, 1152, 519, 1898, 3741, 269, 901, 7160, 267, 538, 5329, 609, 519, 7269, 540, 519, 6211, 10459, 267, 814, 6738, 547, 13918, 1007, 1570, 543, 1007, 2127, 540, 1382, 269, 9050, 1007, 2835, 723, 1044, 3773, 602, 1445, 593, 2127, 540, 6211, 1382, 602, 616, 556, 12686, 519, 2640, 540, 11646, 2257, 543, 2413, 1382, 4066, 269, 4935, 267, 519, 1715, 10334, 1305, 1631, 5161, 540, 519, 1739, 476, 1015, 12531, 912, 7093, 2183, 1775, 476, 272, 269, 28544, 267, 4860, 2213, 9990, 476, 273, 269, 10960, 1849, 11238, 267, 4860, 2213, 9990, 476, 274, 269, 9435, 267, 4860, 2213, 9990, 476, 275, 269, 634, 8426, 267, 4860, 2213, 9990, 476, 276, 269, 22319, 10657, 267, 4860, 2213, 9990, 476, 277, 269, 25745, 8426, 3194, 267, 4860, 2213, 9990, 476, 278, 269, 32081, 3194, 476, 279, 269, 634, 21210, 3590, 476, 280, 269, 7073, 6925, 476, 1015, 269, 5164, 4926, 3509, 1007, 11271, 723, 1044, 3773, 547, 1142, 540, 519, 3312, 3670, 14179, 6979, 267, 543, 519, 6967, 11271, 723, 1044, 14916, 15428, 663, 8242, 269, 634, 1297, 540, 5515, 543, 6337, 538, 1142, 1433, 814, 27463, 1078, 3648, 267, 543, 782, 616, 1631, 21235, 538, 2407, 2681, 269, 634, 2908, 12531, 267, 1739, 519, 1482, 3898, 607, 519, 5169, 1023, 267, 7494, 10339, 663, 519, 9165, 540, 519, 1715, 10334, 1305, 543, 4196, 547, 11168, 519, 2399, 602, 891, 4066, 616, 711, 1175, 827, 4466, 524, 999, 585, 771, 3887, 1162, 855, 616, 4543, 3744, 1174, 513, 2647, 2039, 540, 1979, 860, 328, 23343, 3157, 269, 4634, 513, 9864, 1592, 540, 891, 11240, 725, 568, 11141, 281, 30956, 9229, 1344, 593, 1169, 5444, 543, 1169, 3940, 602, 568, 2877, 1729, 1628, 513, 1480, 1373, 282, 22638, 8446, 540, 782, 2860, 6090, 267, 980, 1591, 1700, 14588, 6900, 6090, 267, 543, 15325, 6090, 282, 11837, 540, 2922, 669, 549, 2173, 23865, 24450, 4609, 585, 5444, 3797, 282, 543, 519, 8446, 540, 2102, 525, 602, 1852, 519, 2208, 540, 519, 1480, 2634, 267, 519, 1646, 1993, 4633, 267, 543, 519, 5826, 540, 2790, 6617, 269, 769, 513, 10875, 778, 10079, 618, 267, 11646, 3173, 723, 1044, 2111, 547, 10250, 519, 3169, 709, 974, 938, 1480, 11937, 1031, 547, 32164, 3433, 689, 4000, 5176, 4792, 267, 1822, 1296, 3516, 543, 1256, 547, 7447, 519, 1297, 540, 1367, 1873, 14833, 1500, 909, 519, 3312, 1895, 269, 769, 1840, 547, 519, 23960, 10605, 540, 6602, 267, 519, 1007, 1979, 565, 268, 9609, 814, 1500, 1390, 26058, 538, 20547, 2250, 9073, 543, 14286, 7868, 717, 1564, 5424, 4693, 729, 513, 771, 7356, 5821, 602, 7166, 513, 1762, 812, 538, 454, 4512, 17985, 5058, 519, 6305, 540, 1010, 1272, 267, 855, 5444, 3797, 8062, 538, 519, 1985, 476, 1015, 1296, 786, 581, 27314, 267, 1312, 585, 741, 1967, 543, 585, 741, 3106, 269, 1280, 519, 2250, 476, 2004, 1296, 267, 2860, 3173, 723, 1044, 9575, 538, 513, 26525, 6560, 607, 789, 6836, 547, 1852, 519, 2208, 543, 3262, 540, 14686, 12970, 267, 855, 1082, 3744, 616, 1631, 8746, 602, 2860, 786, 581, 17515, 676, 476, 1708, 271, 269, 5164, 4926, 267, 971, 607, 7486, 610, 519, 2770, 267, 616, 4199, 995, 543, 1419, 14686, 10779, 2456, 267, 855, 11646, 3173, 616, 827, 547, 2322, 519, 4339, 593, 811, 7787, 12406, 607, 2143, 1344, 568, 5833, 827, 10194, 6090, 267, 10194, 1272, 9979, 267, 543, 8290, 685, 4608, 15967, 2702, 547, 859, 1228, 610, 524, 23774, 548, 519, 1480, 4761, 1062, 269, 1452, 9620, 543, 811, 616, 4988, 538, 713, 7160, 540, 519, 1715, 10334, 1305, 269, 594, 4126, 519, 11407, 786, 4196, 547, 9414, 1312, 519, 1379, 540, 2257, 543, 519, 2282, 2706, 16058, 4674, 602, 814, 8854, 883, 519, 5137, 543, 15418, 540, 891, 4066, 563, 288, 1188, 852, 1194, 18488, 296, 1131, 1101, 899, 547, 9684, 519, 1850, 687, 540, 2257, 10927, 1053, 543, 2022, 4777, 28118, 8593, 3298, 945, 723, 1500, 519, 1007, 7350, 513, 533, 2350, 2389, 673, 4641, 269, 1358, 616, 519, 5667, 2426, 12325, 540, 713, 9015, 269, 634, 5587, 268, 640, 543, 6111, 540, 519, 3355, 12377, 585, 713, 1433, 729, 1454, 574, 2889, 1386, 676, 8039, 543, 8292, 689, 667, 10005, 667, 3298, 2917, 267, 7812, 303, 2335, 334 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11558, 1297, 666, 4061, 581, 2808, 547, 581, 476, 1691, 950, 891, 616, 3769, 269, 8074, 602, 952, 519, 1560, 10704, 12945, 1770, 1591, 568, 19316, 2059, 835, 476, 275, 16784, 7852, 519, 2497, 3587, 3068, 1298, 1042, 12945, 630, 31957, 545, 2673, 14095, 1916, 307, 516, 2738, 538, 13621, 1448, 454, 27839, 1154, 2798, 616, 6074, 607, 513, 2241, 267, 23344, 19020, 267, 2268, 540, 519, 6617, 610, 4222, 540, 519, 17285, 24775, 269, 2368, 2241, 3466, 666, 581, 7074, 269, 17616, 519, 5912, 8407, 723, 3622, 2362, 13621, 2798, 982, 519, 1866, 269, 769, 12659, 8932, 8407, 630, 16766, 476, 272, 264, 543, 22279, 3618, 8407, 630, 16766, 476, 273, 264, 519, 13621, 1448, 11081, 607, 10570, 1297, 4679, 267, 855, 538, 519, 5912, 8407, 519, 13621, 2798, 952, 4376, 2333, 269, 21661, 513, 1974, 519, 13621, 2798, 3914, 513, 5021, 693, 1472, 1895, 476, 277, 543, 1287, 2887, 2476, 609, 538, 516, 2084, 10570, 1297, 563, 310, 1731, 12855, 7690, 269, 476, 1001, 271, 563, 16100, 693, 824, 21594, 912, 20540, 545, 3349, 2443, 901, 2376, 568, 827, 519, 13350, 3349, 540, 519, 2609, 1547, 1280, 824, 3096, 267, 1294, 634, 11270, 545, 7305, 269, 634, 13350, 3349, 540, 519, 3114, 2609, 630, 10193, 1634, 607, 519, 13350, 3349, 610, 13350, 3349, 540, 519, 2609, 264, 568, 513, 9184, 983, 4159, 540, 519, 476, 14093, 2507, 2560, 9504, 454, 290, 15009, 531, 2497, 2443, 769, 7777, 9609, 543, 16358, 2762, 267, 12627, 2497, 568, 513, 2189, 11460, 540, 8444, 610, 6675, 538, 513, 26543, 5277, 610, 4396, 269, 589, 12627, 2497, 568, 7768, 540, 513, 4806, 267, 513, 1305, 540, 8444, 11231, 538, 513, 1880, 1259, 267, 543, 513, 24775, 2507, 2560, 9504, 454, 14532, 540, 519, 13350, 3349, 2443, 634, 1686, 540, 519, 13350, 3349, 9356, 936, 513, 2540, 540, 2208, 538, 519, 1620, 540, 3114, 3601, 267, 543, 19411, 919, 609, 519, 8313, 540, 519, 1101, 4890, 13350, 3349, 676, 667, 2466, 686, 21780, 25279, 5271, 538, 476, 5908, 280, 269, 2755, 21780, 25279, 5271, 3710, 2390, 2507, 2560, 9504, 454, 15761, 2105, 13350, 3349, 2443, 1703, 616, 4867, 5722, 5712, 538, 519, 13350, 3349, 540, 3114, 2609, 267, 28285, 609, 10570, 1297, 476, 14093, 269, 1403, 2417, 2609, 609, 2362, 10570, 2338, 982, 713, 616, 4362, 267, 789, 786, 581, 5116, 538, 3606, 5712, 267, 9788, 856, 630, 553, 2507, 2560, 9504, 454, 27026, 630, 704, 1675, 545, 3349, 264, 2443, 634, 13350, 3349, 540, 519, 3114, 2609, 269, 634, 9587, 2099, 519, 2516, 769, 7998, 267, 513, 1895, 630, 10193, 1634, 607, 513, 1920, 264, 568, 513, 7299, 6241, 538, 519, 13350, 3349, 540, 519, 3114, 2609, 269, 1703, 616, 476, 1240, 2516, 538, 519, 3044, 13350, 3349, 267, 2507, 2560, 9504, 454, 322, 15009, 531, 2443, 16358, 833, 267, 7755, 269, 1315, 330, 5142, 512, 331, 32551, 562, 1421, 7755, 1421, 642, 1421, 7243, 4705, 267, 7243, 2718, 610, 630, 525, 335, 269, 2826, 4700, 7243, 6817, 267, 7243, 16226, 269, 562, 269, 476, 272, 269, 513, 2312, 267, 12001, 7777, 610, 4837, 23401, 4672, 269, 476, 273, 269, 519, 12001, 1106, 540, 16358, 1242, 21247, 269, 476, 274, 269, 6314, 1421, 25115, 269, 513, 4396, 1560, 2507, 2560, 17629, 1756, 454, 290, 15009, 531, 2443, 1315, 330, 5142, 512, 331, 32551, 562, 269, 476, 272, 269, 513, 2749, 538, 10323, 16506, 267, 2282, 3687, 928, 24550, 269, 476, 1839, 267, 276, 6246, 269, 476, 273, 269, 513, 4775, 2016, 2012, 269, 2608, 2608, 2608, 594, 7102, 4396, 1570, 4171, 8444, 616, 11231, 538, 513, 17386, 4806, 543, 4171, 2627, 2834, 640, 9356, 922, 4835, 15340, 269, 3962, 540, 513, 12627, 521, 2507, 2560, 17629, 1756, 454, 290, 15009, 531, 2443, 24083, 1023, 28570, 338, 1934, 269, 1280, 824, 3096, 267, 1294, 24083, 1023, 630, 4134, 3711, 580, 6672, 1040, 901, 2376, 568, 827, 26543, 17571, 269, 1280, 519, 1826, 540, 4837, 267, 1294, 1291, 12627, 269, 1280, 824, 3096, 267, 1294, 32423, 630, 4134, 3711, 580, 6672, 1040, 31763, 345, 12627, 269, 634, 1367, 9274, 540, 713, 2560, 9504, 454, 301, 984, 601, 15356, 23602, 676, 2012, 2443, 19065, 359, 7305, 17587, 15356, 23602, 676, 2012, 589, 645, 595, 667, 661, 674, 717, 670, 594, 808, 918, 700, 631, 715, 744, 623, 1627, 681, 590, 570, 772, 966, 654, 962, 2098, 589, 2012, 1032, 7121, 2197, 265, 9740, 5339, 1858, 2806, 20891, 657, 990, 267, 5981, 5674, 589, 269, 476, 1220, 274, 6323, 772, 2529, 269, 8906, 2507, 2560, 17629, 1756, 454, 301, 984, 601, 15356, 23602, 676, 1032, 2443, 19065, 359, 7305, 17587, 15356, 23602, 676, 1032, 476, 5002, 272, 1700, 1015, 476, 3707, 272, 1700, 2004, 476, 2735, 272, 1700, 3445, 476, 4489, 272, 1700, 736, 476, 4198, 272, 1700, 2568, 476, 1960, 272, 1700, 1220, 271, 476, 4572, 272, 1700, 1789, 476, 3422, 272, 1700, 3583, 476, 1220, 272, 1700, 5400, 476, 4350, 272, 1700, 2412, 476, 3192, 272, 1700, 3199, 476, 5002, 272, 1700, 1015, 1032, 7121, 2012, 2197, 265, 9740, 5339, 1858, 476, 5002, 272, 7998, 7009, 878, 639, 8709, 512, 630, 295, 4752, 267, 15243, 639, 7009, 878, 639, 8709, 2507, 2560, 17629, 1756, 0, 763, 3742, 3595, 4786, 568, 513, 3028, 6035, 543, 3812, 676, 8331, 689, 1239, 6394, 676, 519, 6833, 571, 9682, 269, 901, 2230, 18785, 11438, 609, 621, 513, 9300, 1572, 26827, 3041, 602, 19306, 519, 18342, 5982, 19501, 676, 1022, 3595, 269, 634, 1344, 6394, 568, 5701, 1360, 3533, 543, 1500, 2139, 547, 519, 1857, 538, 513, 1906, 3108, 563, 24618, 638, 820, 4015, 5342, 676, 661, 5960, 290, 538, 519, 2063, 1079, 4374, 1472, 519, 4541, 563, 763, 7047, 4919, 2504, 3812, 676, 519, 28268, 1282, 519, 12019, 2782, 1974, 568, 10373, 267, 21214, 782, 15174, 540, 519, 8608, 269, 1452, 1283, 4919, 7851, 723, 513, 2298, 543, 513, 1469, 602, 26208, 267, 2523, 607, 930, 540, 873, 616, 865, 6552, 543, 2352, 547, 1569, 585, 519, 2029, 540, 519, 942, 269, 4653, 267, 649, 666, 1265, 2477, 1141, 519, 1655, 7047, 4919, 3490, 568, 1256, 8168, 7851, 563, 17843, 3549, 543, 3785, 1683, 7317, 4786, 2533, 5001, 538, 1114, 12043, 267, 1519, 912, 268, 7046, 9335, 10934, 281, 24625, 8271, 267, 1141, 3755, 2933, 1685, 519, 4247, 540, 11837, 269, 0, 2791, 1522, 581, 11842, 875, 538, 519, 1158, 666, 535, 611, 11326, 581, 2808, 865, 3983, 543, 14432, 269, 2991, 782, 267, 596, 4076, 2938, 1082, 18537, 602, 3409, 3755, 1995, 2656, 2597, 2530, 538, 513, 2339, 540, 2395, 563, 4913, 267, 1018, 949, 711, 581, 6654, 547, 596, 568, 602, 602, 6073, 540, 3728, 2597, 2530, 786, 711, 2063, 543, 568, 11613, 711, 1360, 2635, 269, 634, 2597, 513, 1268, 19380, 568, 2965, 827, 476, 3445, 260, 1216, 799, 789, 3580, 1360, 6157, 2744, 1394, 1175, 607, 3728, 269, 634, 2601, 649, 22919, 1034, 267, 952, 711, 782, 267, 540, 602, 2597, 1394, 568, 1317, 938, 1560, 2115, 547, 556, 5139, 3433, 865, 649, 798, 711, 7985, 1072, 2042, 543, 538, 713, 2013, 267, 18024, 563, 8448, 982, 1818, 6909, 543, 3592, 796, 29207, 15344, 6811, 267, 535, 611, 11326, 616, 2356, 2442, 585, 8806, 513, 2110, 1974, 1354, 1776, 8449, 6909, 2732, 30283, 621, 269, 589, 7008, 540, 873, 1522, 2965, 581, 1759, 593, 2635, 2732, 532, 4808, 267, 855, 707, 4387, 1223, 4076, 2016, 2147, 4808, 585, 1863, 563, 3963, 1656, 1215, 674, 611, 4144, 1115, 3657, 24511, 14068, 1280, 1411, 454, 272, 269, 674, 611, 11326, 616, 1034, 1419, 1759, 593, 1175, 4189, 811, 540, 1978, 3536, 1247, 7333, 940, 930, 1866, 269, 30052, 267, 713, 786, 711, 2285, 596, 519, 29454, 602, 596, 6157, 1058, 1205, 689, 513, 1134, 28394, 2331, 2732, 563, 2791, 949, 581, 4280, 547, 1491, 9360, 855, 519, 1560, 1281, 711, 10110, 930, 540, 873, 8259, 789, 616, 10057, 609, 513, 3099, 540, 2067, 3536, 269, 2991, 513, 1974, 540, 942, 267, 596, 5555, 1376, 3384, 9422, 19518, 563, 273, 269, 898, 568, 711, 8966, 585, 535, 611, 11326, 547, 581, 1102, 2716, 1043, 543, 1683, 513, 3908, 10624, 269, 2991, 513, 1247, 267, 596, 1100, 3476, 1413, 4464, 547, 707, 16625, 6980, 543, 1376, 6159, 1324, 585, 513, 3099, 540, 3536, 269, 1656, 538, 519, 1439, 267, 596, 786, 1034, 2693, 19944, 826, 519, 2732, 269, 4634, 8338, 267, 596, 1522, 1376, 1025, 5446, 3054, 585, 2348, 8959, 1256, 1498, 519, 22350, 14461, 535, 611, 2732, 1058, 581, 13337, 539, 563, 274, 269, 2372, 924, 513, 1906, 535, 611, 11326, 798, 711, 11753, 7850, 5666, 540, 5388, 610, 5613, 269, 6270, 11326, 798, 711, 2285, 596, 606, 25819, 540, 9422, 2959, 602, 779, 1898, 585, 4509, 707, 1072, 269, 1306, 606, 1383, 267, 519, 2732, 949, 581, 835, 602, 17611, 11817, 6140, 1970, 16087, 3536, 4611, 538, 9422, 19518, 952, 10057, 585, 513, 1279, 1974, 563, 275, 269, 674, 611, 11326, 1630, 8463, 2656, 2597, 2530, 1175, 1439, 909, 609, 2164, 602, 616, 711, 8628, 269, 1411, 3580, 1995, 9979, 540, 9561, 2597, 267, 1287, 1036, 8724, 602, 2597, 799, 568, 2731, 8338, 982, 952, 596, 1175, 1185, 7283, 14968, 543, 711, 6836, 519, 535, 611, 2732, 538, 519, 1101, 1747, 563, 3383, 8726, 519, 18537, 949, 3409, 267, 1346, 5686, 540, 11326, 786, 581, 17672, 936, 519, 1279, 2165, 269, 4347, 17802, 267, 519, 1034, 2635, 1259, 547, 2744, 543, 2226, 2597, 2530, 568, 585, 596, 547, 8532, 513, 2635, 2732, 543, 3635, 5781, 267, 543, 6157, 2057, 535, 611, 11326, 269, 0, 291, 26677, 519, 4356, 543, 3079, 1445, 593, 1434, 16519, 3917, 537, 3536, 267, 3081, 7671, 26100, 2006, 267, 11022, 267, 32687, 543, 6198, 4915, 10629, 267, 13653, 540, 18479, 1597, 18479, 1597, 25682, 4741, 543, 2278, 540, 634, 1715, 2657, 16390, 269, 5502, 540, 875, 1082, 8477, 267, 2307, 3054, 1141, 519, 1426, 3357, 689, 543, 952, 621, 781, 14312, 269, 834, 30144, 267, 8770, 11656, 3536, 786, 1832, 14000, 693, 15922, 267, 948, 2226, 7123, 1973, 4006, 2157, 267, 7413, 26351, 267, 543, 948, 707, 2634, 5365, 707, 17987, 950, 596, 2811, 2407, 2437, 646, 3081, 269, 769, 824, 1913, 267, 596, 1810, 1405, 723, 547, 979, 998, 782, 519, 8373, 540, 10203, 563, 5194, 8095, 593, 519, 476, 3199, 270, 736, 4341, 267, 3081, 3220, 269, 26100, 2006, 281, 16069, 4189, 950, 596, 2811, 476, 3199, 260, 2407, 269, 2334, 1797, 23646, 1524, 543, 10992, 538, 21237, 2429, 519, 7594, 827, 1018, 707, 1560, 568, 6031, 269, 6496, 519, 1426, 1100, 3476, 6492, 1390, 286, 3657, 596, 3478, 602, 834, 296, 1810, 1405, 2731, 991, 1022, 811, 4743, 22172, 15154, 476, 3199, 270, 736, 607, 596, 3548, 666, 948, 3500, 596, 1524, 543, 581, 811, 13533, 269, 9861, 538, 19820, 609, 707, 1560, 11151, 31952, 11661, 267, 646, 3081, 563, 293, 520, 269, 3502, 782, 3170, 568, 519, 1482, 269, 2755, 3983, 9600, 666, 20739, 1188, 707, 2732, 543, 2333, 707, 1981, 540, 1978, 3676, 267, 1434, 9600, 2149, 707, 2634, 543, 2295, 269, 769, 1249, 267, 2635, 9600, 27137, 607, 15060, 268, 274, 338, 1765, 732, 4105, 547, 707, 2168, 543, 3929, 1072, 269, 26451, 811, 2635, 3170, 538, 707, 2732, 666, 948, 2087, 707, 7099, 267, 5818, 707, 1134, 5630, 267, 543, 1256, 16013, 707, 22765, 1467, 269, 6258, 811, 9732, 0, 11854, 6900, 3604, 1305, 909, 519, 4583, 1523, 540, 519, 2039, 540, 1565, 7648, 17820, 676, 3274, 6267, 269, 6904, 1797, 602, 6267, 786, 2693, 1451, 538, 513, 1114, 1259, 2687, 585, 741, 585, 5052, 543, 7375, 269, 1677, 581, 2111, 547, 1451, 998, 519, 946, 540, 835, 779, 17391, 7207, 568, 835, 1565, 6163, 269, 5441, 1053, 945, 949, 1451, 998, 17391, 1565, 6163, 1445, 593, 519, 1919, 602, 789, 786, 5873, 269, 4578, 602, 789, 12492, 998, 5711, 4992, 568, 2693, 547, 11578, 1369, 741, 8186, 267, 7175, 519, 11091, 540, 519, 9623, 267, 3976, 267, 17923, 519, 1565, 5650, 563, 8448, 1565, 6163, 2874, 540, 15629, 268, 7219, 20469, 267, 12716, 267, 1514, 267, 543, 865, 593, 269, 2060, 713, 538, 2247, 267, 16929, 1058, 581, 2111, 547, 1174, 519, 991, 547, 8597, 547, 891, 1268, 3604, 11341, 547, 1565, 7648, 538, 1931, 547, 5721, 3483, 2685, 543, 7561, 267, 711, 6005, 519, 6859, 540, 1565, 269, 1717, 2073, 8236, 713, 1880, 30254, 568, 2864, 982, 606, 2653, 2816, 2094, 20485 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3698, 6445, 5334, 1115, 3799, 267, 544, 2187, 825, 562, 27133, 815, 1305, 4590, 825, 544, 27133, 815, 1305, 4590, 825, 4831, 815, 476, 272, 454, 825, 585, 9041, 538, 2039, 3799, 1341, 544, 2187, 1038, 1297, 815, 703, 9272, 15405, 1038, 952, 4831, 10922, 562, 912, 2018, 562, 27133, 14491, 28840, 994, 1038, 3116, 912, 2018, 544, 27133, 14491, 28840, 994, 1038, 4831, 6834, 476, 272, 454, 825, 2132, 562, 27133, 269, 5793, 7611, 9852, 27133, 9239, 3698, 1820, 318, 14310, 31114, 27133, 2187, 825, 1496, 2745, 9217, 264, 585, 1775, 538, 1267, 27133, 6540, 454, 333, 267, 544, 815, 1496, 842, 9217, 264, 585, 1775, 538, 3403, 14061, 20889, 3890, 2639, 2745, 318, 14310, 6600, 650, 5334, 1115, 3799, 267, 544, 4917, 0, 3698, 1293, 318, 13715, 263, 743, 582, 1127, 267, 24646, 318, 5115, 13369, 2187, 825, 9660, 23544, 815, 476, 271, 454, 825, 986, 4242, 18045, 815, 476, 272, 454, 825, 1247, 9660, 912, 1038, 1699, 19056, 815, 9660, 21014, 4590, 1038, 9660, 23544, 6834, 1699, 19056, 454, 1038, 952, 9660, 23544, 2652, 24646, 318, 5115, 13369, 912, 2018, 952, 9660, 912, 3546, 986, 4242, 18045, 6834, 476, 272, 454, 3546, 9660, 23544, 815, 476, 271, 454, 1038, 8640, 9660, 23544, 3436, 24646, 318, 5115, 13369, 912, 2018, 9660, 6910, 263, 9690, 19056, 994, 2018, 9660, 23544, 20699, 1699, 19056, 454, 2018, 986, 4242, 18045, 6834, 476, 272, 454, 2018, 9660, 23544, 815, 476, 271, 454, 825, 1820, 263, 13715, 18045, 9239, 743, 582, 1127, 815, 1496, 842, 3287, 264, 585, 1535, 538, 3403, 14061, 20889, 3890, 2639, 571, 1188, 318, 5115, 13369, 815, 703, 9272, 15405, 12248, 318, 13715, 263, 743, 582, 1127, 267, 24646, 318, 5115, 13369, 994, 0, 333, 815, 703, 9272, 15405, 29324, 815, 2715, 10926, 1721, 9041, 538, 2039, 3799, 2187, 825, 2875, 267, 3446, 815, 3403, 14061, 20889, 4590, 825, 3446, 815, 10581, 263, 14079, 994, 825, 952, 2875, 711, 538, 1053, 912, 1038, 1053, 314, 30700, 316, 815, 11713, 825, 1053, 314, 30700, 4940, 6572, 263, 14079, 2020, 1721, 521, 267, 575, 538, 1053, 29096, 10031, 825, 1285, 326, 815, 2040, 14116, 264, 1315, 7003, 14116, 994, 825, 1820, 6600, 262, 346, 338, 348, 9847, 2715, 257, 834, 269, 21860, 8443, 325, 257, 346, 343, 15545, 273, 325, 348, 257, 585, 1535, 538, 575, 8079, 348, 630, 822, 326, 281, 2715, 822, 326, 15545, 273, 325, 16585, 10807, 0, 3698, 10518, 23631, 2091, 28840, 8217, 2187, 825, 10518, 815, 11713, 825, 585, 1297, 538, 1297, 8217, 912, 1038, 10518, 6910, 28840, 994, 825, 1247, 10518, 912, 1038, 1820, 263, 23637, 21014, 19572, 1439, 8782, 1412, 9239, 23637, 23631, 2091, 9272, 14061, 20889, 28829, 0, 3698, 2721, 4671, 686, 4120, 263, 19417, 2187, 825, 585, 562, 538, 2039, 263, 19417, 2187, 1038, 1820, 2891, 834, 269, 21860, 8443, 1598, 3287, 264, 585, 1535, 538, 2039, 263, 272, 267, 562, 1341, 476, 273, 13580, 4917, 825, 585, 562, 538, 2039, 263, 19417, 910, 476, 272, 267, 476, 271, 267, 910, 272, 2187, 1038, 1820, 2891, 834, 269, 21860, 8443, 1598, 3287, 264, 585, 1535, 538, 2039, 263, 272, 267, 562, 1341, 476, 272, 264, 8079, 2020, 258, 1219, 2721, 4671, 686, 4120, 4433, 1125, 2187, 258, 672, 585, 1775, 538, 2039, 263, 272, 267, 2450, 1341, 476, 272, 2187, 258, 1363, 585, 795, 538, 2039, 263, 272, 267, 1775, 1341, 476, 272, 2187, 258, 17264, 1820, 27203, 267, 1439, 8782, 30386, 258, 1363, 1820, 28361, 337, 5073, 16482, 258, 672, 585, 737, 538, 2039, 4433, 1125, 910, 476, 272, 267, 476, 271, 267, 910, 272, 2187, 258, 1363, 585, 561, 538, 2039, 17347, 267, 476, 271, 267, 910, 272, 2187, 258, 17264, 1820, 10857, 267, 1439, 8782, 30386, 258, 1363, 1820, 28361, 337, 5073, 0, 3698, 1205, 8548, 20723, 4671, 686, 4120, 3799, 2187, 825, 4941, 4671, 686, 4120, 815, 20886, 272, 316, 2608, 1293, 585, 1293, 538, 2039, 263, 272, 267, 562, 1341, 476, 272, 22708, 825, 585, 4737, 538, 2039, 263, 273, 267, 562, 2187, 1038, 585, 6241, 538, 2039, 263, 272, 267, 4737, 2187, 2018, 4941, 4671, 686, 4120, 314, 992, 6012, 26383, 316, 815, 26444, 3546, 4941, 4671, 686, 4120, 314, 992, 910, 476, 272, 6012, 26383, 316, 1341, 4941, 4671, 686, 4120, 314, 992, 910, 476, 272, 6012, 26383, 910, 476, 272, 2639, 825, 2132, 4941, 4671, 686, 4120, 7531, 2745, 263, 1326, 8548, 20723, 4671, 686, 4120, 263, 276, 4917, 0, 3698, 24609, 24624, 263, 4900, 2187, 825, 24609, 539, 24624, 815, 1496, 343, 585, 4737, 538, 20886, 842, 3287, 264, 585, 1535, 538, 3403, 14061, 20889, 263, 3299, 1412, 13580, 585, 9041, 538, 2039, 263, 4900, 13580, 585, 1535, 538, 4737, 2639, 825, 2132, 24609, 539, 24624, 7531, 2745, 263, 29788, 1084, 24624, 17301, 9272, 3890, 21875, 0, 3698, 5493, 30308, 27182, 267, 7329, 343, 284, 271, 2187, 825, 952, 7329, 343, 2652, 7003, 27182, 264, 12262, 476, 273, 912, 1038, 2132, 535, 257, 346, 5320, 348, 568, 513, 5493, 30308, 4840, 825, 952, 2262, 314, 30915, 316, 11203, 2262, 314, 6352, 27182, 264, 910, 7329, 343, 910, 476, 272, 14158, 1038, 2132, 535, 257, 346, 5320, 348, 568, 711, 513, 5493, 30308, 4840, 825, 2132, 5493, 30308, 27182, 267, 7329, 343, 1341, 476, 272, 9239, 2745, 9638, 531, 30308, 2891, 29582, 9346, 2580, 476, 271, 4917, 2745, 9638, 531, 30308, 2891, 335, 2678, 2580, 476, 271, 4917, 0, 3698, 25276, 7272, 1077, 28840, 267, 1379, 2187, 825, 952, 1379, 2652, 476, 272, 912, 1038, 2132, 1297, 454, 825, 2132, 1297, 2608, 25276, 7272, 1077, 28840, 267, 1379, 910, 476, 272, 9239, 2745, 263, 516, 15479, 633, 7272, 1077, 263, 273, 267, 476, 1015, 4917, 2745, 263, 516, 15479, 633, 7272, 1077, 263, 1015, 267, 476, 1911, 4917, 0, 3698, 6292, 318, 5115, 8558, 318, 663, 18045, 1845, 6262, 870, 1845, 267, 1698, 8558, 2187, 825, 2132, 2715, 339, 314, 271, 13912, 512, 314, 272, 316, 585, 512, 538, 23407, 6262, 870, 1845, 267, 1698, 8558, 14587, 7531, 2745, 28361, 333, 8339, 21860, 6600, 262, 346, 330, 348, 9847, 2715, 341, 348, 262, 1721, 737, 267, 642, 538, 6292, 318, 5115, 8558, 318, 663, 18045, 1845, 9272, 14061, 20889, 263, 3299, 1412, 1070, 3403, 14061, 20889, 263, 3299, 1412, 26895, 19477, 3890, 4297 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3520, 577, 1092, 267, 513, 6653, 7573, 4235, 1419, 10150, 1282, 14254, 780, 4131, 781, 1631, 4685, 4514, 883, 519, 30018, 2427, 540, 962, 1075, 27979, 256, 5620, 596, 2479, 4862, 827, 834, 325, 5006, 553, 22172, 1358, 8661, 3909, 2621, 267, 12405, 267, 610, 1256, 3771, 341, 3949, 269, 2290, 1383, 568, 519, 4303, 540, 519, 16458, 11812, 267, 1634, 12725, 607, 834, 295, 534, 531, 623, 1460, 17505, 1701, 898, 16569, 1896, 2395, 543, 26549, 21549, 6068, 3283, 945, 2132, 17303, 547, 2972, 1272, 1586, 609, 2828, 543, 1920, 269, 4438, 12390, 531, 623, 1460, 17505, 267, 3885, 1628, 5621, 1513, 693, 1753, 21243, 609, 22250, 267, 2261, 580, 9529, 267, 6337, 540, 519, 8977, 539, 267, 543, 26345, 17008, 899, 3443, 632, 18665, 15300, 630, 320, 6653, 3694, 264, 543, 23984, 2297, 269, 2201, 5437, 476, 272, 560, 267, 1453, 10571, 909, 607, 20036, 2370, 23109, 9497, 13370, 527, 657, 8442, 543, 3643, 12543, 6998, 585, 13000, 282, 3280, 5432, 286, 2334, 781, 1317, 19343, 814, 5072, 538, 2147, 3504, 12738, 2439, 7661, 267, 1705, 594, 2995, 596, 827, 519, 6909, 15456, 4609, 16559, 2429, 962, 1075, 27979, 286, 23089, 4904, 609, 12357, 17633, 543, 5493, 2167, 3710, 676, 519, 8797, 2904, 753, 1279, 3516, 269, 1452, 21219, 3180, 11580, 7996, 547, 581, 19586, 539, 267, 18136, 7045, 3464, 899, 721, 547, 2263, 942, 2951, 1394, 547, 950, 2979, 267, 17651, 267, 543, 6575, 25577, 1851, 891, 11121, 2950, 780, 1103, 5758, 267, 962, 1075, 27979, 3091, 513, 17175, 11100, 540, 6805, 6561, 543, 2413, 2713, 269, 4706, 7524, 4778, 267, 10366, 267, 4992, 267, 543, 22205, 6891, 786, 7001, 707, 2295, 11014, 269, 1924, 3640, 707, 11435, 267, 1250, 8284, 17701, 267, 543, 1205, 4712, 547, 7832, 593, 606, 9058, 7045, 2407, 540, 26208, 543, 1565, 3255, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 15045, 4696, 296, 16739, 5508, 962, 10813, 2969, 3198, 454, 290, 11857, 543, 26492, 538, 962, 10813, 2969, 3198, 454, 763, 1004, 689, 962, 1075, 27979, 11753, 741, 4978, 267, 16873, 543, 3504, 9821, 883, 741, 3232, 2729, 267, 543, 1711, 513, 1360, 2027, 2186, 540, 9589, 5348, 4038, 1143, 269, 634, 1688, 8154, 338, 267, 519, 11951, 267, 519, 2575, 267, 519, 18691, 267, 543, 519, 5389, 616, 9048, 325, 17014, 6169, 602, 962, 1075, 27979, 568, 513, 9059, 2244, 609, 1930, 267, 3636, 5790, 267, 1141, 8436, 2141, 1745, 10950, 563, 312, 1075, 27979, 568, 519, 524, 2784, 548, 540, 519, 2904, 534, 2528, 543, 922, 3140, 9371, 568, 2189, 538, 519, 1158, 563, 763, 968, 19669, 4975, 892, 543, 922, 10450, 4159, 3504, 5656, 543, 554, 659, 328, 31789, 689, 519, 476, 1626, 628, 547, 519, 476, 736, 628, 11416, 563, 312, 1075, 520, 17505, 568, 4583, 585, 519, 554, 2459, 4169, 267, 968, 7666, 599, 629, 10327, 5608, 519, 968, 3966, 4821, 892, 11058, 267, 519, 2083, 580, 872, 14446, 538, 4154, 543, 8988, 543, 519, 13535, 760, 559, 609, 4190, 3444, 3613, 3558, 30927, 540, 5810, 267, 782, 540, 873, 2139, 538, 519, 12359, 553, 8895, 557, 345, 10369, 543, 519, 10450, 540, 519, 1292, 726, 18054, 538, 8585, 5866, 563, 293, 652, 11040, 1299, 26492, 454, 763, 12390, 531, 623, 1460, 17505, 538, 519, 2904, 534, 1893, 1797, 968, 25988, 540, 20339, 1848, 1306, 519, 3141, 12651, 1169, 476, 4029, 560, 540, 744, 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, 12861, 12056, 18224, 853, 8712, 585, 7671, 31060, 16654, 590, 9476, 720, 966, 754, 832, 692, 272, 269, 16294, 707, 1966, 543, 3853, 281, 10670, 676, 7114, 519, 2591, 596, 3068, 607, 513, 29449, 267, 971, 607, 19788, 5561, 610, 15386, 1585, 30725, 720, 2010, 269, 2659, 3804, 1522, 581, 2810, 6455, 610, 5009, 6216, 4656, 269, 3503, 891, 1524, 1354, 23312, 563, 273, 269, 3194, 3811, 4159, 588, 8712, 281, 6733, 883, 824, 21527, 267, 1312, 2199, 543, 3486, 267, 945, 14133, 693, 2502, 1761, 18046, 998, 11617, 13267, 10525, 269, 8074, 2609, 899, 8654, 267, 2681, 14565, 267, 11768, 267, 543, 7317, 2934, 269, 901, 1382, 2488, 6667, 1247, 9319, 1455, 25354, 563, 274, 269, 8073, 513, 6989, 1544, 281, 9122, 593, 707, 2230, 10148, 267, 1020, 513, 11315, 17250, 540, 707, 588, 718, 11768, 269, 6333, 782, 20814, 2127, 585, 1587, 6881, 267, 1426, 7041, 267, 27939, 630, 604, 10858, 1070, 543, 2638, 719, 269, 5901, 6808, 2095, 538, 2247, 547, 2327, 8897, 540, 3350, 1472, 519, 588, 718, 563, 275, 269, 5071, 9159, 1129, 720, 281, 2422, 2312, 1462, 2762, 543, 12050, 4778, 547, 5968, 1898, 1344, 899, 1870, 2012, 267, 11090, 1467, 267, 3346, 3877, 267, 543, 12286, 2472, 269, 5269, 2386, 4191, 666, 581, 1224, 689, 513, 3845, 267, 2523, 950, 5116, 1164, 1657, 2666, 1377, 269, 8838, 585, 1394, 26569, 3681, 610, 25139, 5022, 547, 3986, 15287, 1282, 30148, 2621, 563, 276, 269, 8058, 13826, 15284, 16654, 30725, 1137, 3927, 281, 10558, 1114, 8677, 1210, 911, 903, 11231, 676, 1826, 610, 8137, 9043, 269, 22982, 4463, 7648, 547, 11694, 3308, 1764, 543, 2721, 3007, 547, 1808, 17008, 269, 1280, 3236, 267, 13793, 930, 30725, 1137, 19794, 3297, 513, 4831, 610, 10518, 873, 23276, 3330, 4837, 11149, 563, 277, 269, 5410, 2170, 2032, 281, 11559, 6075, 6278, 676, 6220, 512, 8463, 10473, 1141, 29123, 666, 3732, 1585, 30725, 1137, 1354, 11449, 269, 20644, 10346, 10023, 707, 2472, 610, 6542, 5986, 2553, 3842, 2661, 1629, 657, 610, 3381, 14245, 269, 1452, 2833, 948, 1628, 4296, 1063, 707, 6216, 543, 1761, 7218, 563, 278, 269, 8838, 4476, 8654, 281, 7743, 569, 1769, 539, 5624, 5031, 1587, 2298, 543, 16436, 1780, 619, 2421, 547, 2263, 2417, 269, 12305, 28253, 10896, 8279, 1657, 21684, 543, 27669, 547, 1852, 21386, 2157, 2687, 547, 942, 540, 1554, 610, 19355, 2175, 269, 3958, 267, 2015, 20020, 15070, 1978, 6810, 609, 5059, 5544, 7547, 610, 3636, 7099, 8654, 563, 279, 269, 8564, 3617, 11647, 543, 7718, 281, 13689, 593, 2139, 2230, 267, 6451, 27939, 12417, 585, 546, 710, 2987, 5561, 269, 8838, 585, 15309, 545, 11308, 7515, 19610, 609, 1649, 2583, 610, 4496, 23107, 609, 24302, 16845, 16295, 547, 18427, 2757, 4436, 15312, 269, 7388, 29232, 26955, 14585, 3688, 899, 536, 22395, 267, 17514, 267, 610, 1494, 1540, 2371, 666, 849, 12927, 6237, 12205, 563, 280, 269, 21541, 5234, 593, 2792, 1983, 281, 4982, 760, 2319, 2818, 609, 2500, 11913, 543, 1875, 31646, 2792, 2994, 547, 4497, 5561, 269, 17546, 873, 547, 26250, 8436, 27145, 267, 2491, 10624, 5079, 5693, 267, 2626, 2055, 18390, 267, 543, 2303, 14911, 6292, 902, 6923, 269, 589, 18164, 543, 3839, 13781, 8309, 3648, 547, 2949, 9547, 543, 10956, 1870, 563, 1015, 269, 17115, 6218, 2773, 543, 621, 4733, 281, 8033, 28204, 6895, 3723, 6420, 267, 7503, 3928, 267, 543, 6075, 5955, 547, 2697, 6454, 2127, 269, 11270, 1227, 9337, 1129, 720, 267, 30337, 10525, 267, 543, 6338, 1007, 3260, 687, 1759, 593, 2344, 3466, 543, 12119, 7375, 269, 1635, 4509, 513, 6422, 543, 13261, 1604, 267, 596, 2333, 8458, 540, 20808, 4540, 19121, 720, 543, 9750, 7817, 25279, 3914, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 14187, 1374, 3884, 1406, 1175, 827, 7168, 5961, 267, 3860, 5888, 610, 513, 24886, 29984, 269, 17610, 267, 782, 1346, 1919, 616, 1271, 538, 6725, 28559, 952, 707, 23877, 1810, 1406, 2995, 513, 1650, 267, 1711, 513, 4276, 267, 543, 1683, 513, 3070, 585, 707, 6075, 267, 621, 3085, 1406, 2339, 1018, 707, 32097, 5654, 899, 269, 1656, 24076, 568, 713, 811, 7805, 982, 693, 4123, 2982, 543, 18322, 525, 563, 2171, 9575, 909, 609, 23111, 5622, 345, 11300, 10615, 715, 597, 670, 2727, 990, 3558, 267, 945, 11099, 602, 835, 540, 519, 7887, 5107, 1169, 14704, 1590, 6445, 568, 602, 540, 968, 2889, 12378, 24626, 3034, 2691, 621, 2501, 547, 1630, 1054, 1374, 267, 798, 596, 1589, 972, 616, 513, 2603, 540, 14406, 3255, 888, 4467, 3966, 625, 6108, 513, 2603, 540, 2724, 3843, 547, 1118, 513, 1630, 1054, 1413, 10694, 267, 855, 1082, 2053, 8436, 723, 1100, 2856, 1018, 789, 616, 6031, 610, 9513, 269, 634, 1374, 949, 7001, 741, 3007, 585, 513, 1906, 7643, 267, 855, 952, 972, 779, 1100, 1483, 4276, 267, 789, 786, 4440, 1832, 6972, 269, 2334, 779, 1946, 649, 1589, 602, 4543, 519, 7817, 5581, 741, 2042, 543, 2115, 693, 519, 5618, 532, 3942, 568, 835, 540, 519, 1034, 1271, 521, 3010, 13914, 540, 513, 2140, 585, 513, 14392, 2376, 1369, 519, 6389, 540, 834, 29445, 31060, 4149, 1399, 548, 590, 9476, 1137, 543, 2598, 1127, 257, 607, 851, 540, 834, 23733, 1315, 13636, 1299, 8836, 1315, 4436, 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, 20821, 8575, 22781, 267, 513, 4116, 543, 16159, 945, 2090, 1945, 1360, 1271, 1572, 834, 323, 1751, 267, 8635, 267, 543, 32469, 1701, 2334, 781, 1175, 513, 16681, 1259, 540, 6031, 602, 1352, 5654, 693, 875, 1114, 1004, 616, 5701, 543, 6719, 538, 3506, 543, 2835, 269, 5620, 596, 2479, 8068, 602, 3006, 1978, 2516, 540, 1004, 5749, 1405, 3254, 9425, 538, 2984, 267, 4245, 267, 610, 1256, 538, 707, 1378, 4928, 286, 9320, 972, 5749, 1405, 1082, 3197, 609, 9124, 267, 610, 5310, 1034, 540, 519, 3140, 5515, 596, 1451, 827, 616, 2367, 269, 901, 568, 1018, 8575, 22781, 30128, 7184, 827, 4657, 2439, 5331, 952, 1169, 1433, 267, 3992, 267, 543, 3872, 1570, 5963, 10630, 782, 5686, 540, 1004, 267, 10080, 267, 4529, 267, 5759, 267, 25469, 267, 6502, 267, 10764, 267, 543, 811, 269, 14348, 333, 1405, 621, 581, 5863, 547, 1294, 3054, 543, 1866, 899, 596, 8308, 17814, 543, 12595, 286, 1656, 9327, 1405, 1565, 1831, 1454, 21950, 950, 649, 666, 5660, 1585, 5380, 543, 2833, 286, 1452, 616, 930, 540, 519, 2055, 8575, 22781, 13290, 547, 2626, 998, 1200, 960, 780, 4131, 781, 4685, 883, 835, 1808, 1858, 1141, 8575, 22781, 2306, 513, 3017, 1107, 3023, 2069, 269, 11557, 1196, 1522, 3280, 13943, 610, 19309, 547, 930, 267, 855, 4952, 2348, 5049, 602, 1865, 2648, 267, 3347, 267, 543, 4703, 1247, 849, 14120, 3604, 543, 5009, 2463, 1851, 3025, 256, 2334, 781, 4010, 1018, 8575, 22781, 26195, 2888, 269, 1635, 2870, 8537, 543, 3309, 2200, 267, 1352, 16877, 4563, 2950, 543, 824, 12790, 2516, 547, 9784, 741, 9163, 267, 1174, 2933, 1732, 267, 543, 1020, 2635, 4296, 609, 1866, 780, 3383, 267, 1577, 803, 2307, 596, 713, 281, 1548, 1131, 9358, 1616, 547, 1689, 827, 707, 1153, 781, 9499, 543, 3450, 2326, 547, 2327, 789, 2099, 3025, 9425, 286, 1215, 1223, 3023, 2069, 1413, 8335, 547, 8661, 938, 2189, 7907, 543, 1711, 2922, 5624, 585, 5717, 286, 6056, 827, 891, 2055, 543, 2671, 873, 609, 707, 2828, 543, 3610, 1317, 267, 1927, 267, 649, 666, 1628, 513, 17321, 2104, 4904, 609, 1620, 267, 10343, 267, 543, 7862, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 30538, 22781, 631, 269, 589, 6373, 568, 606, 3447, 1807, 267, 13834, 5525, 10104, 267, 543, 2920, 22999, 269, 2701, 729, 7905, 585, 19974, 543, 16338 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 775, 568, 811, 540, 513, 6725, 18388, 5320, 693, 713, 3942, 269, 594, 798, 723, 547, 16153, 602, 621, 779, 513, 1390, 2012, 585, 513, 1433, 563, 26364, 5896, 267, 713, 1957, 3294, 814, 1747, 6868, 585, 26184, 3642, 543, 1256, 31597, 3642, 267, 855, 4376, 3564, 1480, 7400, 4987, 568, 3274, 7329, 548, 25127, 693, 713, 3942, 563, 1692, 2484, 666, 31597, 3642, 267, 27956, 345, 933, 559, 779, 7327, 983, 640, 267, 610, 2706, 842, 3485, 775, 979, 286, 1548, 779, 519, 3970, 540, 4987, 286, 589, 2241, 2626, 547, 513, 2352, 2243, 568, 2696, 7400, 4987, 2443, 606, 9631, 23036, 2615, 543, 9631, 30876, 582, 550, 25976, 1131, 4865, 782, 602, 568, 917, 762, 543, 2009, 269, 9877, 540, 2182, 547, 20546, 602, 563, 8253, 602, 713, 19175, 568, 4502, 7234, 693, 713, 3942, 267, 855, 693, 2547, 621, 14604, 519, 17748, 540, 606, 5580, 3808, 585, 4987, 563, 1432, 1131, 621, 1491, 547, 917, 3388, 888, 9617, 585, 519, 2594, 267, 594, 786, 27082, 602, 513, 2696, 7400, 4987, 1131, 711, 581, 2009, 538, 713, 7122, 563, 302, 19282, 529, 7220, 610, 1702, 540, 3388, 1797, 6616, 519, 1533, 540, 1169, 2063, 6263, 3787, 540, 2339, 267, 1648, 267, 2230, 267, 543, 942, 538, 519, 7122, 267, 1519, 2527, 267, 1648, 267, 2990, 267, 11610, 267, 3092, 563, 7712, 621, 1131, 1491, 811, 982, 513, 2582, 3787, 540, 2527, 610, 1648, 547, 2203, 519, 1533, 540, 1142, 3787, 540, 2527, 543, 1648, 267, 1152, 513, 6824, 540, 519, 2407, 7122, 1223, 581, 24018, 610, 1634, 1210, 782, 540, 519, 2339, 543, 1648, 538, 519, 7122, 547, 2099, 602, 1344, 563, 4263, 1034, 267, 930, 10700, 4987, 538, 519, 7122, 1223, 1152, 1447, 982, 513, 2582, 5479, 628, 540, 3388, 563, 1692, 1082, 11353, 610, 11409, 1131, 621, 1491, 547, 917, 519, 6207, 2990, 540, 1256, 513, 2582, 11046, 888, 3383, 267, 594, 1810, 1406, 1294, 513, 2706, 842, 3485, 775, 610, 1256, 27956, 345, 933, 559, 779, 7327, 983, 640, 2479, 2348, 2696, 7400, 4987, 563, 2791, 1223, 27082, 513, 2706, 842, 3485, 775, 602, 6818, 3544, 540, 519, 7122, 267, 855, 1287, 621, 3085, 1406, 2291, 2507, 1934, 563, 289, 28026, 269, 594, 7058, 649, 3580, 723, 547, 7017, 585, 9864, 8566, 617, 1377, 4987, 607, 938, 10700, 3804, 563, 32552, 543, 7045, 454, 8170, 1576, 835, 1131, 2503, 606, 3642, 1062, 547, 581, 607, 2922, 607, 2009, 267, 855, 1256, 3106, 666, 581, 5645, 1932, 2484, 269, 32010, 1524, 519, 19814, 610, 15385, 519, 8265, 11438, 1981, 269, 1656, 1004, 13842, 3478, 19252, 269, 2311, 2547, 930, 2631, 540, 7045, 568, 20888, 676, 1034, 1004, 693, 930, 1448, 563, 9590, 1949, 1058, 581, 2111, 547, 13918, 8795, 5232, 540, 7045, 267, 1759, 593, 513, 4999, 540, 912, 268, 8881, 7182, 540, 519, 3642, 1062, 563, 268, 7025, 2188, 18363, 3106, 563, 268, 16661, 2175, 563, 268, 9314, 338, 543, 10892, 540, 519, 3593, 563, 268, 4317, 3510, 2443, 4527, 540, 1866, 945, 723, 18312, 610, 20849, 12823, 540, 3106, 543, 7045, 563, 763, 5898, 540, 3642, 568, 602, 621, 666, 11851, 811, 7787, 1852, 982, 513, 1480, 1522, 581, 20916, 547, 798, 538, 1022, 1880, 3510, 602, 1522, 723, 15398, 3106, 2152, 563, 9590, 538, 513, 25920, 4580, 610, 513, 27576, 286, 4024, 519, 1158, 581, 2922, 888, 300, 553, 869, 779, 15796, 540, 1480, 2115, 454, 20329, 6048, 14062, 16549, 869, 6069, 513, 15796, 540, 1480, 2115, 267, 799, 568, 2356, 6719, 607, 18158, 267, 2324, 20733, 689, 519, 1034, 2596, 2115, 912, 268, 4284, 8344, 2115, 454, 268, 8881, 2115, 454, 268, 4317, 10362, 454, 2026, 3642, 1949, 1831, 811, 4359, 543, 1445, 811, 593, 1514, 4987, 267, 513, 2147, 15796, 786, 2693, 581, 3617, 585, 3642, 269, 661, 4614, 655, 3085, 1406, 3100, 547, 723, 1022, 1463, 12746, 538, 1699, 3642, 1949, 267, 855, 930, 2631, 540, 1582, 2914, 2180, 949, 5555, 581, 3617, 585, 3642, 563, 4002, 519, 16212, 2427, 267, 3642, 1949, 1223, 581, 23553, 547, 5431, 543, 1489, 3755, 3448, 547, 741, 2115, 543, 4690, 3448, 547, 519, 15796, 267, 7654, 13057, 543, 4543, 873, 547, 1847, 909, 519, 18158, 563, 7212, 3909, 1523, 687, 540, 519, 2470, 540, 519, 7122, 5749, 1406, 2356, 2808, 950, 10442, 3642, 267, 519, 1523, 540, 10995, 1374, 568, 4277, 269, 4014, 1082, 3744, 543, 1099, 5505, 1131, 7947, 519, 4984, 2861, 14165, 540, 10995, 1374, 540, 519, 7122, 267, 1272, 267, 543, 1480, 1272, 267, 782, 540, 938, 3642, 1949, 547, 4266, 723, 1152, 519, 5759, 602, 741, 9858, 5402, 2966, 610, 8036, 883, 873, 563, 6546, 1767, 267, 519, 2035, 540, 4720, 543, 1582, 268, 6716, 1944, 1949, 786, 2693, 581, 4294, 547, 1454, 811, 4359, 3642, 1949, 865, 602, 519, 10995, 1374, 540, 519, 9858, 786, 1831, 1447, 1713, 563, 26045, 4576, 543, 14524, 454, 7212, 649, 11593, 3398, 602, 1367, 1480, 7919, 616, 711, 2141, 4628, 8647, 543, 3006, 1360, 14524, 531, 267, 649, 8195, 3180, 938, 5841, 1949, 547, 513, 1454, 2362, 3044, 2443, 19870, 269, 769, 1249, 267, 952, 513, 3684, 23659, 17313, 585, 1022, 2601, 267, 649, 4043, 547, 1205, 1360, 13347, 563, 19013, 267, 6191, 723, 513, 2647, 2039, 540, 1761, 23659, 17313, 267, 971, 607, 912, 268, 10434, 2264, 5821, 1813, 547, 5957, 563, 268, 10434, 2264, 5821, 1813, 547, 5907, 5057, 610, 4276, 5821, 563, 268, 5071, 5821, 538, 3301, 267, 1634, 607, 513, 17079, 563, 268, 18648, 1374, 602, 1476, 4926, 3755, 563, 268, 670, 22326, 602, 7519, 338, 3339, 5106, 563, 268, 3683, 2903, 540, 13033, 543, 3838, 2200, 602, 7519, 338, 3339, 5106, 563, 268, 8555, 704, 12122, 540, 8800, 543, 3301, 5468, 563, 268, 27190, 1389, 676, 3755, 602, 3361, 6397, 2360, 563, 268, 1656, 519, 1592, 4422, 593, 7498, 4517, 602, 779, 1175, 585, 2757, 1949, 1354, 649, 12235, 3642, 883, 519, 3575, 563, 1103, 1249, 267, 519, 1082, 2081, 602, 3642, 666, 29840, 723, 2943, 547, 581, 17048, 539, 2094, 519, 1995, 609, 811, 4359, 3642, 1949, 568, 865, 3908, 267, 855, 930, 1806, 689, 2487, 1296, 1331, 912, 268, 19768, 540, 8223, 1813, 547, 3908, 6863, 610, 2039, 540, 1875, 30165, 4654, 563, 268, 19768, 540, 8223, 1813, 547, 31126, 543, 17418, 547, 11883, 609, 4633, 15641, 9323, 563, 268, 769, 1464, 547, 6023, 5266, 10257, 13668, 1813, 547, 7522, 13395, 540, 5059, 3642, 3156, 563, 268, 769, 1464, 540, 3239, 6284, 547, 11883, 609, 3308, 9642, 885, 602, 513, 1480, 666, 11593, 6023, 7157, 563, 268, 769, 1464, 547, 1683, 14909, 3210, 1813, 547, 3908, 2039, 540, 2962, 563, 268, 769, 1464, 547, 4431, 21230, 538, 3210, 547, 1688, 543, 11132, 17267, 610, 1560, 1893, 563, 5804, 519, 5133, 540, 519, 3642, 1062, 14704, 891, 949, 581, 1374, 7687, 2864, 982, 23659, 17313, 829, 694, 267, 855, 519, 3593, 12034, 519, 2339, 8335, 267, 24584, 2507, 19870, 543, 1256, 2773, 3648, 1732, 982, 513, 6071, 1480, 267, 711, 513, 6071, 6824, 540, 1480, 7400, 4987, 543, 2623, 563, 19741, 12961, 543, 1374, 7687, 267, 649, 723, 2943, 547, 1294, 519, 1377, 540, 6988, 540, 4987, 1141, 23659, 17313, 4114, 26305, 1713, 2790, 14524, 952, 711, 30739, 2790, 4576, 949, 2253, 547, 2408, 269, 769, 1880, 267, 2899, 3642, 1949, 2253, 547, 11457, 543, 3082, 593, 741, 1378, 267, 741, 2623, 666, 6521, 1360, 2484, 689, 519, 6788, 540, 519, 3312, 1062, 9858, 563, 4002, 519, 16212, 2427, 267, 3642, 1058, 581, 2111, 547, 948, 513, 2603, 811, 609, 5868, 543, 2126, 540, 2790, 4576, 538, 1483, 1004, 269, 594, 2965, 10093, 1406, 4862, 593, 1022, 3646, 267, 855, 519, 1761, 568, 972, 267, 2523, 950, 1004, 616, 865, 30508, 1603, 827, 741, 4555, 543, 4606, 2228, 543, 538, 1514, 2923, 563, 2304, 10995, 2790, 1072, 13930, 593, 16389, 543, 824, 2123, 3457, 610, 1256, 1753, 543, 9036, 14233, 630, 663, 6472, 264, 1223, 948, 547, 10332, 1920, 543, 4648, 547, 3138, 4040, 2042, 543, 7654, 1256, 2709, 693, 2547, 3908, 6351, 563, 268, 7849, 1272, 563, 268, 14464, 1272, 563, 268, 14271, 7716, 585, 2067, 1272, 563, 3519, 3667, 786, 581, 2838, 547, 3313, 2436, 1272, 568, 8537, 540, 5841, 1272, 610, 12600, 547, 2067, 1272, 563, 268, 4437, 10999, 2861, 7103, 267, 5827, 540, 12093, 563, 268, 26451, 519, 2067, 5054, 538, 799, 7103, 2661, 563, 25369, 1272, 630, 288, 21509, 994, 268, 5422, 1229, 6211, 1949, 267, 2147, 610, 13380, 547, 2067, 7103, 269, 26451, 1022, 4987, 563, 268, 5422, 1229, 1528, 4435, 22817, 1949, 630, 332, 778, 1149, 1070, 2147, 610, 13380, 538, 1599, 547, 2067, 7103, 269, 26451, 1022, 4987, 563, 268, 3642, 1949, 602, 8858, 1713, 4162, 540, 2713, 6211, 7103, 543, 1949, 563, 268, 7605, 5328, 1949, 5497, 547, 8858, 1713, 4162, 540, 2713, 6211, 7103, 543, 1949, 563, 268, 26451, 5841, 5054, 538, 799, 5841, 1272, 13333, 563, 268, 17290, 547, 1367, 5841, 7103, 610, 15025, 1367, 5841, 7103, 267, 1510, 20282, 610, 12093, 563, 268, 30771, 539, 547, 1331, 20282, 543, 12093, 540, 1367, 5841, 7103, 267, 7175, 873, 547, 1711, 1007, 1367, 5841, 7103, 1510, 5007, 6304, 563, 268, 10572, 5841, 7103, 267, 15025, 2043, 267, 1507, 10070, 540, 2043, 267, 610, 1804, 10070, 610, 1256, 7239, 540, 2043, 563, 268, 22291, 1514, 2623, 540, 5841, 7103, 563, 268, 14271, 7716, 585, 8773, 610, 17562, 563, 268, 2806, 12934, 7007, 607, 589, 21509, 563, 763, 2609, 540, 606, 11248, 610, 4015, 540, 7103, 267, 2067, 610, 5841, 267, 1331, 912, 268, 22845, 269, 12856, 543, 1106, 269, 667, 5202, 566, 540, 519, 2694, 540, 519, 2898, 563, 268, 25665, 269, 9577, 540, 8219, 610, 2694, 540, 519, 2898, 269, 5637, 1560, 543, 2247, 563, 268, 11576, 800, 8226, 540, 519, 1604, 563, 268, 28604, 540, 10444, 8226, 563, 268, 31472, 547, 10444, 8226, 563, 268, 25827, 2534, 269, 10960, 7400, 4987, 269, 8838, 1308, 563, 268, 14451, 19195, 7214, 2534, 269, 5274, 7400, 4987, 269, 8838, 1308, 563, 268, 17423, 547, 957, 538, 519, 1604, 267, 4122, 538, 3210, 547, 10444, 8226, 610, 4835, 10894, 1533, 563, 268, 11873, 267, 17568, 267, 543, 10066, 538, 519, 1604, 2901, 538, 7041, 585, 2534, 267, 547, 7520, 10444, 8226, 267, 610, 585, 1582, 12413, 1619, 563, 268, 7736, 1198, 528, 2534, 547, 3035, 2242, 538, 519, 1604, 269, 6270, 607, 30230, 4771, 609, 11263, 563, 268, 24162, 543, 5386, 5179, 1852, 547, 3035, 3350, 267, 17568, 267, 543, 10066, 563, 268, 21733, 3931, 2200, 689, 519, 1604, 547, 2844, 2104, 2534, 269, 14856, 267, 7244, 267, 6704, 267, 28453, 540, 1648, 2200, 563, 268, 19983, 609, 824, 1367, 7103, 269, 9442, 267, 547, 930, 4110, 563, 268, 4317, 2497, 540, 7103, 563, 268, 631, 908, 543, 12093, 269, 8838, 1308, 538, 519, 7706, 540, 5841, 1272, 267, 1141, 1367, 5841, 7103, 666, 581, 2813, 676, 5007, 1797, 267, 12777, 689, 4986, 543, 585, 1100, 2601, 610, 2014, 20559, 1043, 538, 519, 5841, 1604, 563, 299, 5366, 569, 6340, 267, 972, 568, 513, 1560, 543, 513, 2247, 267, 519, 1560, 12044, 1106, 543, 519, 2247, 12044, 18532, 2534, 563, 288, 8773, 1131, 3100, 547, 581, 513, 1434, 12013, 541, 585, 5841, 1272, 563, 29919, 10600, 1131, 1683, 5054, 547, 1489, 5841, 1272, 269, 1306, 1134, 607, 5691, 4641, 630, 23623, 4700, 3143, 2168, 1560, 4352, 513, 5691, 1560, 949, 581, 18170, 676, 1483, 8996, 6323, 563, 25369, 1272, 666, 849, 7500, 538, 519, 1483, 1158, 2443, 899, 11608, 563, 25369, 1272, 568, 711, 3908, 547, 2362, 19195, 10995, 1272, 269, 12292, 267, 1507, 2831, 267, 23224, 267, 20641, 267, 3165, 267, 27738, 267, 543, 1256, 7786, 543, 17973, 666, 581, 24018, 543, 13147, 17673, 563, 4692, 1331, 28025, 16494, 1272, 3029, 607, 1134, 563, 25369, 1272, 267, 971, 607, 17562, 267, 1131, 1331, 519, 2168, 267, 1875, 10784, 21526, 3344, 267, 1519, 912, 268, 10610, 543, 8731, 810, 563, 268, 31283, 540, 3350, 267, 14407, 543, 5386, 563, 268, 31283, 540, 5179, 1852, 267, 14407, 543, 5386, 563, 268, 8447, 8596, 563, 268, 24732, 610, 3952, 563, 268, 7736, 1198, 832, 630, 324, 3052, 1421, 11263, 8094, 268, 11905, 540, 1648, 543, 1648, 4859, 563, 268, 31283, 540, 2168, 4222, 563, 268, 31283, 540, 22151, 6786, 267, 1344, 267, 543, 1648, 689, 835, 5057, 547, 1776, 563, 25369, 1272, 1131, 1331, 3642, 607, 1134, 563, 268 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 11885, 607, 5286, 454, 5814, 4351, 19638, 3698, 9352, 2414, 13356, 2711, 3799, 2187, 825, 2132, 703, 3799, 267, 273, 2020, 3698, 5569, 15461, 10734, 2435, 29495, 2187, 453, 637, 815, 1412, 8339, 21860, 263, 8971, 263, 867, 9217, 1070, 1412, 5400, 321, 10807, 585, 1775, 538, 1257, 994, 13537, 2891, 3667, 568, 15079, 543, 922, 9352, 7503, 568, 15079, 2668, 8971, 29495, 267, 759, 4917, 16596, 759, 692, 3698, 9352, 15461, 23952, 263, 1998, 2187, 14851, 7003, 263, 1998, 264, 260, 476, 279, 11203, 476, 271, 912, 453, 453, 571, 1047, 1401, 4003, 2891, 21920, 540, 5569, 15079, 1058, 581, 2789, 540, 476, 279, 2668, 8971, 263, 1998, 11723, 453, 3667, 815, 834, 4840, 22610, 7329, 343, 538, 2039, 263, 271, 267, 7003, 263, 1998, 1070, 476, 279, 2187, 453, 453, 2017, 2704, 8224, 1103, 289, 2435, 21803, 815, 1130, 314, 30915, 281, 7329, 343, 266, 279, 2639, 453, 453, 2017, 2704, 8224, 1103, 2026, 857, 328, 19368, 815, 9352, 2414, 13356, 2711, 263, 2017, 2704, 8224, 1103, 289, 2435, 21803, 994, 453, 453, 3667, 815, 1257, 1341, 669, 337, 263, 2017, 2704, 8224, 1103, 2026, 857, 328, 19368, 2020, 16596, 1257, 7531, 320, 815, 834, 636, 836, 10937, 320, 4840, 321, 815, 5569, 15461, 10734, 2435, 5416, 994, 322, 815, 9352, 15461, 23952, 6357, 2020, 2745, 5416, 994, 2745, 6357, 994, 2745, 6262, 9239, 3698, 7989, 1393, 29495, 267, 32089, 26161, 2187, 14851, 7003, 29495, 264, 11203, 7003, 263, 11279, 16615, 26161, 2187, 453, 453, 571, 1047, 1401, 4003, 2891, 26319, 540, 1257, 543, 7989, 25917, 542, 5044, 1058, 581, 1482, 315, 454, 4848, 453, 8117, 789, 616, 711, 267, 1257, 25341, 2715, 9574, 5044, 25341, 15079, 2668, 8971, 12759, 29495, 1070, 6352, 263, 11279, 16615, 26161, 21875, 28768, 16596, 1496, 3667, 20572, 268, 272, 316, 585, 1535, 538, 32089, 26161, 6540, 323, 815, 834, 18733, 272, 4840, 322, 815, 1496, 273, 267, 476, 274, 267, 476, 275, 267, 476, 272, 6540, 324, 815, 7989, 1393, 5560, 267, 524, 994, 2745, 16216, 2020, 325, 815, 834, 9331, 20315, 297, 288, 2562, 312, 4840, 2745, 6600, 314, 271, 281, 276, 7481, 2745, 6600, 314, 276, 281, 1015, 316, 9239, 326, 815, 476, 1015, 454, 330, 815, 476, 1556, 454, 339, 815, 834, 4840, 339, 23785, 8971, 14116, 267, 1412, 6860, 321, 5073, 2745, 6025, 2020, 1721, 1775, 538, 20328, 263, 9792, 263, 275, 15892, 13537, 9217, 2020, 16386, 2891, 758, 257, 538, 22373, 758, 328, 2580, 834, 758, 19312, 2020, 325, 815, 1496, 476, 271, 9948, 265, 736, 454, 2745, 12759, 6600, 264, 9239, 637, 815, 1496, 343, 585, 1535, 538, 2039, 263, 1015, 22708, 12639, 20179, 11075, 28984, 263, 637, 994, 2745, 263, 637, 2020, 1721, 1775, 21726, 538, 26246, 263, 637, 2187, 13537, 9217, 21726, 264, 0, 258, 297, 5308, 292, 27107, 2316, 20911, 313, 670, 2207, 2793, 301, 14701, 313, 476, 4029, 270, 4962, 270, 1708, 272, 454, 5814, 2979, 454, 5814, 21267, 454, 5814, 21267, 28272, 607, 12301, 454, 5228, 536, 637, 523, 5069, 1104, 536, 637, 523, 5069, 454, 3901, 10961, 815, 11713, 14808, 815, 12301, 8807, 2682, 4590, 1314, 815, 4453, 14491, 5334, 889, 7120, 263, 9340, 2020, 3698, 561, 6352, 5964, 12385, 10961, 263, 30658, 553, 267, 1298, 549, 267, 533, 2863, 334, 271, 2567, 22322, 825, 989, 337, 284, 271, 454, 825, 25650, 284, 271, 454, 825, 2367, 528, 284, 278, 454, 825, 1535, 272, 267, 586, 272, 815, 1298, 549, 454, 825, 1535, 273, 267, 586, 273, 815, 533, 2863, 334, 271, 3097, 825, 585, 1775, 538, 2039, 263, 30658, 553, 2187, 1038, 1319, 10961, 6910, 8443, 7481, 1038, 1820, 263, 4118, 6155, 1122, 4181, 263, 698, 337, 4917, 1038, 585, 795, 538, 2039, 263, 273, 2567, 3097, 2018, 952, 795, 2652, 476, 271, 912, 3546, 27089, 815, 5180, 9230, 343, 272, 266, 4118, 269, 6523, 263, 698, 337, 31618, 343, 273, 910, 1535, 272, 9984, 4118, 4732, 514, 263, 698, 337, 264, 2608, 630, 344, 273, 910, 586, 272, 21875, 3546, 1319, 10961, 5157, 4940, 6572, 263, 1998, 528, 994, 2018, 3116, 281, 3097, 3546, 27089, 815, 5180, 9230, 344, 272, 1341, 2979, 4732, 514, 263, 698, 337, 264, 2608, 630, 343, 273, 910, 586, 272, 264, 1341, 2979, 269, 6523, 263, 698, 337, 264, 476, 2608, 630, 344, 273, 910, 586, 272, 21875, 3546, 1319, 10961, 5157, 4940, 6572, 263, 1998, 528, 994, 1038, 989, 337, 6834, 2979, 269, 2784, 2103, 263, 11740, 270, 30658, 553, 2020, 3698, 561, 6352, 5964, 12385, 10961, 273, 263, 2567, 22322, 825, 25650, 284, 271, 454, 825, 2367, 528, 284, 278, 454, 825, 585, 1775, 538, 2039, 263, 30658, 553, 2567, 22322, 1038, 1319, 10961, 6910, 8443, 7481, 1038, 585, 795, 538, 2039, 263, 273, 2187, 2018, 27089, 815, 703, 9272, 2891, 28808, 25564, 4717, 523, 27885, 1642, 533, 2863, 334, 15079, 281, 834, 269, 8971, 9217, 266, 272, 21875, 2018, 952, 27089, 3436, 25650, 912, 3546, 25650, 284, 27089, 266, 273, 454, 2018, 952, 27089, 2999, 2367, 528, 912, 3546, 2367, 528, 284, 27089, 268, 273, 454, 2018, 1319, 10961, 5157, 4940, 6572, 263, 1998, 528, 994, 2018, 1820, 9217, 2437, 567, 14307, 795, 264, 3097, 825, 12301, 11859, 3916, 8443, 5443, 528, 267, 25650, 7481, 825, 12301, 269, 2643, 574, 8443, 5443, 528, 267, 25650, 20285, 3698, 4232, 30685, 7272, 2863, 334, 263, 528, 3394, 267, 533, 2863, 334, 267, 2587, 25222, 2187, 825, 1535, 272, 267, 586, 272, 815, 1976, 523, 454, 825, 1535, 273, 267, 586, 273, 815, 533, 2863, 334, 454, 825, 1535, 337, 815, 5180, 9230, 343, 272, 1341, 2979, 269, 6523, 263, 836, 25222, 264, 2608, 630, 343, 273, 910, 1535, 272, 264, 910, 2979, 4732, 514, 263, 836, 25222, 264, 2608, 630, 344, 273, 910, 586, 272, 24270, 476, 273, 994, 825, 29757, 815, 5180, 9230, 344, 272, 1341, 2979, 4732, 514, 263, 836, 25222, 264, 2608, 630, 343, 273, 910, 586, 272, 264, 1341, 2979, 269, 6523, 263, 836, 25222, 264, 2608, 630, 344, 273, 910, 586, 272, 4297, 2073, 273, 994, 8931, 825, 2132, 1535, 337, 267, 29757, 692, 3698, 1178, 325, 545, 30685, 263, 30658, 553, 2187, 825, 1267, 5964, 17342, 2639, 825, 585, 535, 538, 2039, 263, 30658, 553, 2187, 1038, 952, 535, 2652, 18211, 553, 268, 272, 912, 2018, 1130, 2803, 815, 1592, 6357, 637, 523, 5069, 263, 3901, 10961, 314, 325, 6012, 271, 3910, 1319, 10961, 314, 325, 6012, 272, 3910, 1319, 10961, 314, 271, 6012, 271, 3910, 1319, 10961, 314, 271, 6012, 272, 28413, 2018, 1267, 5964, 23785, 1998, 2803, 692, 1038, 3116, 912, 2018, 1130, 2803, 815, 1592, 6357, 637, 523, 5069, 263, 3901, 10961, 314, 325, 6012, 271, 3910, 1319, 10961, 314, 325, 6012, 272, 3910, 1319, 10961, 314, 325, 266, 272, 6012, 271, 3910, 1319, 10961, 314, 325, 266, 272, 6012, 272, 28413, 2018, 1267, 5964, 23785, 1998, 2803, 454, 27030, 825, 585, 1775, 538, 1267, 5964, 912, 1038, 6439, 272, 815, 21267, 4877, 520, 2583, 10611, 624, 4120, 9230, 328, 1070, 272, 267, 476, 272, 267, 1467, 12296, 284, 272, 267, 6316, 10233, 8782, 321, 3299, 3068, 10233, 8782, 333, 821, 5073, 1038, 4949, 14491, 7272, 2255, 263, 5550, 272, 9239, 604, 6449, 4067, 1029, 2652, 26242, 10852, 1029, 9899, 3097, 825, 18211, 553, 815, 703, 9272, 2891, 28808, 25564, 17485, 561, 15606, 632, 8913, 4453, 3120, 281, 27328, 825, 1535, 272, 815, 703, 9272, 2891, 28808, 25564, 1535, 272, 1642, 1298, 549, 632, 8913, 4453, 3120, 281, 27328, 825, 586, 272, 815, 703, 9272, 2891, 28808, 25564, 586, 272, 1642, 1298, 549, 632, 8913, 4453, 3120, 281, 27328, 825, 561, 815, 703, 9272, 2891, 28808, 25564, 1714, 512, 4821, 25123, 632, 512, 639, 561, 15606, 281, 27328, 825, 533, 2863, 334, 271, 284, 630, 343, 272, 266, 331, 267, 586, 272, 994, 825, 1976, 523, 815, 630, 343, 272, 267, 586, 272, 994, 825, 561, 6352, 5964, 12385, 10961, 263, 30658, 553, 267, 1976, 523, 267, 533, 2863, 334, 271, 994, 825, 1178, 325, 545, 30685, 263, 30658, 553, 994, 825, 1948, 8527, 30685, 7272, 2863, 334, 263, 528, 3394, 267, 533, 2863, 334, 267, 2979, 269, 2784, 2103, 263, 17734, 454, 825, 1820, 263, 3901, 10961, 994, 825, 12301, 11859, 3916, 8443, 268, 1015, 267, 476, 1015, 7481, 825, 12301, 269, 2643, 574, 8443, 268, 1015, 267, 476, 1015, 7481, 825, 12301, 20481, 4590, 0, 6717, 815, 3403, 2891, 10831, 281, 19515, 604, 703, 263, 6717, 314, 271, 8079, 2652, 476, 275, 543, 16733, 6352, 263, 6717, 264, 2652, 476, 1724, 264, 610, 630, 6352, 263, 6717, 264, 2652, 476, 1626, 15892, 825, 1462, 815, 834, 309, 26721, 14826, 4840, 19197, 16733, 842, 263, 6717, 11468, 273, 8079, 2652, 476, 4097, 264, 610, 630, 842, 263, 6717, 11468, 273, 8079, 2652, 476, 4391, 4297, 543, 630, 6352, 263, 6717, 264, 2652, 476, 1428, 2187, 825, 1462, 815, 834, 4456, 13052, 14826, 4840, 19197, 630, 842, 263, 6717, 11468, 273, 8079, 13843, 476, 7906, 264, 543, 630, 842, 263, 6717, 11468, 273, 8079, 10922, 476, 4649, 264, 543, 630, 6352, 263, 6717, 264, 2652, 476, 1626, 2187, 825, 1462, 815, 834, 300, 3008, 9898, 290, 19181, 14826, 4840, 12828, 912, 825, 1462, 815, 834, 2562, 309, 3201, 2839, 14826, 4840, 8999, 815, 476, 271, 454, 604, 1462, 11203, 834, 2562, 309, 3201, 2839, 14826, 13426, 825, 585, 1775, 538, 2039, 12759, 263, 6717, 9984, 273, 267, 910, 272, 267, 910, 273, 2187, 1038, 512, 11133, 815, 703, 263, 6717, 5157, 8079, 265, 273, 454, 1038, 952, 512, 11133, 2999, 476, 1015, 912, 2018, 2040, 6834, 512, 11133, 454, 1038, 3116, 281, 8931, 2018, 588, 11133, 815, 1193, 6025, 11133, 994, 2018, 2040, 6834, 703, 263, 560, 11133, 314, 271, 7481, 2018, 2040, 6834, 703, 263, 560, 11133, 314, 272, 7481, 825, 585, 1775, 538, 2039, 12759, 263, 6717, 9984, 272, 267, 910, 272, 267, 910, 273, 2187, 1038, 2040, 6834, 703, 263, 6717, 5157, 7481, 825, 952, 2040, 4939, 476, 1015, 2652, 476, 271, 912, 1038, 1820, 263, 20200, 994, 825, 3116, 912, 1038, 1820, 2891, 2562, 309, 3201, 2839, 14826, 5602, 12828, 912, 825, 1820, 263, 20200, 264, 0, 5814, 556, 692, 3698, 1292, 10031, 825, 11435, 815, 31460, 825, 609, 1930, 2891, 6358, 17902, 8442, 607, 3403, 912, 1038, 585, 1899, 538, 3403, 912, 2018, 1899, 815, 1899, 14714, 8692, 19629, 333, 5602, 2018, 2119, 912, 3546, 9018, 815, 556, 269, 14142, 3488, 8443, 320, 22271, 27994, 1496, 320, 22271, 27994, 264, 11435, 2270, 3299, 1899, 994, 3546, 6418, 815, 556, 26098, 718, 3488, 8443, 272, 268, 280, 316, 1496, 320, 22271, 27994, 1496, 320, 22271, 27994, 264, 9126, 3299, 1899, 994, 2018, 4849, 5900, 25572, 13286, 912, 3546, 1820, 2891, 31138, 4682, 4636, 15419, 2018, 11435, 314, 537, 614, 3052, 4981, 263, 272, 13580, 815, 1496, 516, 16553, 3488, 314, 272, 268, 280, 316, 22207, 1412, 3299, 9126, 264, 585, 9126, 538, 6418, 6540, 825, 1267, 815, 1305, 10797, 825, 585, 9126, 267, 1543, 538, 11435, 29096, 10031, 1038, 952, 834, 3333, 4176, 4154, 257, 538, 1543, 912, 2018, 1267, 14491, 6357, 698, 2020, 825, 585, 1775, 538, 2039, 12759, 6357, 4711, 15892, 1038, 585, 9126, 267, 1543, 538, 11435, 29096, 10031, 2018, 585, 759, 538, 1267, 6983, 4878, 10031, 3546, 952, 759, 538, 1543, 912, 7386, 1267, 14491, 6357, 698, 2020, 825, 1820, 12759, 31114, 264, 9239, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1292, 3890, 0, 2745, 2891, 1366, 955, 15419, 531, 8224, 815, 22373, 320, 2580, 834, 321, 2580, 834, 322, 2580, 834, 323, 2580, 834, 324, 257, 6540, 26319, 815, 7003, 263, 531, 8224, 2020, 1721, 1775, 538, 2039, 263, 271, 267, 26319, 2187, 825, 1820, 2891, 734, 257, 1341, 9904, 5157, 20285, 258, 585, 4484, 538, 9904, 912, 258, 672, 1820, 263, 12072, 2020, 2745, 2891, 1366, 955, 5602, 0, 5228, 1806, 269, 16149, 318, 1652, 517, 269, 754, 1652, 318, 31467, 1104, 2721, 26748, 267, 17021, 267, 2196, 692, 534, 7769, 815, 18358, 13906, 3299, 1412, 27594, 3299, 1412, 25279, 11244, 262, 6540, 5976, 2196, 10031, 825, 585, 3662, 538, 2831, 912, 1038, 609, 17021, 10031, 2018, 2721, 26748, 263, 534, 2711, 994, 0, 5814, 4351, 454, 5228, 4351, 1104, 695, 28984, 19638, 3698, 4351, 1125, 27879, 5320, 263, 12072, 15575, 267, 1297, 15575, 267, 3090, 15575, 2187, 825, 1007, 27879, 5320, 815, 11713, 825, 5022, 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, 9288, 2559, 3359, 540, 3984, 2030, 4187, 1996, 5521, 10860, 666, 581, 32032, 269, 18650, 32182, 3622, 946, 2582, 3077, 5521, 10860, 267, 855, 519, 4187, 3976, 29971, 949, 711, 2141, 581, 1808, 547, 519, 3077, 5521, 2249, 269, 1284, 5342, 513, 1449, 585, 1875, 10391, 4187, 538, 2512, 320, 7573, 8677, 609, 4187, 6090, 1996, 6960, 1544, 628, 32111, 630, 289, 15771, 1070, 676, 1210, 519, 4095, 7594, 26615, 267, 1773, 17377, 11410, 9417, 7578, 269, 634, 1449, 1062, 729, 1360, 2241, 267, 543, 1152, 2838, 519, 1875, 1790, 652, 26615, 547, 581, 556, 1563, 593, 7573, 7912, 269, 1284, 3379, 519, 6668, 2557, 267, 11095, 1974, 543, 2937, 2597, 540, 519, 26615, 593, 1614, 7573, 8677, 281, 2048, 301, 2089, 517, 321, 732, 8730, 513, 645, 15771, 1606, 639, 1061, 1043, 795, 777, 517, 3821, 3099, 267, 543, 2048, 1320, 2967, 14635, 476, 1556, 685, 543, 2048, 303, 758, 330, 8932, 8730, 1079, 11259, 2512, 320, 8677, 269, 3776, 2164, 941, 3551, 543, 6542, 602, 4187, 538, 519, 1079, 11259, 7573, 8677, 568, 711, 645, 15771, 1808, 267, 1317, 1646, 540, 519, 26615, 729, 1427, 12023, 543, 2937, 1560, 2597, 729, 4389, 269, 0, 309, 3147, 710, 949, 711, 581, 607, 2500, 8165, 670, 274, 301, 273, 8833, 713, 1032, 267, 4274, 3081, 454, 302, 1777, 11867, 5398, 2657, 3081, 972, 786, 581, 811, 607, 519, 3644, 19082, 563, 268, 16332, 3074, 693, 31747, 781, 476, 866, 2146, 19190, 616, 1524, 689, 2063, 1032, 454, 268, 827, 476, 279, 267, 10384, 1004, 18764, 538, 476, 1001, 275, 270, 276, 4005, 630, 4818, 1563, 547, 827, 476, 1556, 267, 1911, 1004, 538, 476, 1001, 274, 994, 268, 670, 14563, 547, 3945, 3729, 476, 6872, 4939, 540, 4079, 267, 519, 1482, 607, 476, 1001, 274, 270, 275, 454, 268, 31747, 7856, 5176, 476, 24907, 267, 1822, 13066, 540, 2770, 6669, 547, 13500, 685, 13646, 267, 982, 476, 10204, 7966, 9313, 267, 10506, 543, 1279, 3856, 1416, 6703, 563, 268, 769, 476, 1001, 274, 270, 275, 476, 1911, 266, 1004, 941, 32509, 609, 2978, 26817, 30938, 2665, 540, 519, 2770, 454, 268, 476, 1428, 1004, 5747, 689, 621, 267, 609, 519, 1034, 7972, 1851, 20650, 563, 17206, 540, 31747, 4966, 3081, 519, 670, 274, 301, 273, 2770, 8833, 538, 713, 1032, 781, 8929, 949, 723, 4573, 730, 2094, 519, 6669, 729, 14475, 267, 2495, 519, 6669, 1522, 711, 581, 607, 2500, 269, 1703, 616, 1614, 12490, 540, 519, 3644, 538, 519, 6669, 563, 2005, 568, 10825, 2066, 4516, 269, 10432, 476, 5325, 267, 1439, 540, 5437, 269, 0, 31388, 267, 476, 4029, 5130, 476, 1001, 272, 454, 1015, 9741, 8153, 12700, 6168, 661, 24294, 10577, 454, 10303, 789, 2270, 1100, 10269, 267, 552, 24294, 10577, 5749, 1405, 1641, 547, 772, 2529, 269, 10269, 4031, 267, 799, 1797, 789, 666, 581, 12349, 1510, 6169, 540, 2085, 267, 2523, 2228, 269, 901, 12651, 4145, 602, 552, 2275, 12127, 949, 581, 3226, 13267, 547, 3214, 543, 949, 5000, 15522, 8213, 1851, 1762, 1004, 269, 1656, 1247, 9755, 540, 519, 552, 24294, 12076, 3409, 602, 621, 781, 519, 16906, 596, 666, 834, 8243, 5803, 257, 9170, 267, 9431, 8041, 1472, 519, 1158, 616, 2921, 513, 2673, 1413, 693, 891, 19269, 543, 1128, 23082, 513, 2039, 540, 9993, 593, 741, 946, 563, 303, 1886, 7859, 540, 519, 552, 24294, 12076, 2161, 789, 1745, 1732, 1210, 519, 3926, 982, 789, 1705, 950, 789, 941, 7296, 10269, 13189, 267, 543, 602, 1317, 519, 552, 24294, 12076, 568, 23431, 267, 621, 17990, 873, 2724, 269, 2368, 17192, 519, 552, 2275, 580, 585, 4543, 873, 16718, 7296, 269, 1809, 568, 519, 552, 24294, 12076, 607, 2922, 607, 922, 3755, 4534, 1519, 28245, 899, 918, 15811, 1261, 580, 331, 4534, 3494, 286, 1772, 621, 513, 8902, 4781, 267, 610, 513, 1981, 1512, 3903, 286, 1656, 1018, 1281, 519, 15111, 723, 547, 798, 609, 621, 286, 6969, 596, 2015, 2921, 909, 519, 552, 24294, 12076, 4356, 267, 1224, 593, 547, 1205, 519, 5013, 563, 292, 24294, 10577, 1810, 1405, 8673, 899, 10269, 13189, 1317, 4986, 2965, 17236, 269, 18329, 13189, 616, 2966, 547, 1413, 1175, 899, 2834, 13189, 267, 855, 972, 781, 835, 2101, 3017, 281, 1411, 1810, 1405, 991, 513, 6474, 610, 14402, 547, 946, 873, 269, 5502, 267, 789, 3180, 513, 6007, 267, 513, 11517, 1436, 12068, 543, 513, 7047, 16466, 4904, 609, 5277, 15522, 269, 623, 4428, 593, 519, 3926, 607, 596, 1131, 513, 2834, 16906, 267, 543, 519, 3926, 646, 1846, 519, 5277, 543, 2242, 621, 547, 513, 15522, 23752, 11517, 269, 769, 327, 1446, 547, 5838, 519, 15522, 547, 707, 9641, 267, 543, 1287, 17938, 1446, 519, 11517, 269, 898, 5654, 899, 596, 2811, 7296, 513, 2834, 16906, 267, 855, 972, 781, 1100, 9329, 267, 1317, 4986, 568, 8781, 454, 280, 281, 8881, 31700, 454, 6624, 9431, 8041, 543, 1072, 4966, 5749, 1405, 2386, 519, 552, 24294, 12076, 568, 2922, 269, 2755, 972, 616, 7366, 540, 3549, 538, 519, 2136, 2276, 4805, 602, 616, 1818, 543, 9513, 552, 24294, 10577, 267, 9755, 1419, 1810, 1405, 1118, 1808, 1072, 610, 3106, 6811, 827, 741, 2472, 269, 1358, 798, 267, 2705, 267, 512, 719, 519, 2640, 540, 552, 24294, 10577, 607, 606, 4244, 547, 10269, 269, 634, 5253, 543, 10684, 10029, 630, 293, 6395, 264, 543, 930, 1072, 4966, 616, 7255, 602, 519, 2427, 2360, 540, 11375, 2718, 6986, 15522, 723, 2943, 547, 581, 18113, 6594, 267, 543, 616, 4061, 7164, 269, 634, 15111, 568, 849, 7255, 827, 2298, 1852, 267, 7682, 532, 602, 930, 9755, 949, 711, 18113, 30035, 782, 519, 3114, 5820, 538, 741, 552, 24294, 10577, 267, 543, 602, 519, 2179, 540, 15522, 7396, 593, 513, 7047, 16466, 6003, 949, 711, 6474, 519, 4890, 2179, 538, 519, 7047, 16466, 563, 278, 281, 631, 5474, 543, 590, 25527, 454, 16978, 3055, 13189, 616, 1373, 4421, 18368, 267, 543, 666, 581, 3362, 12349, 2228, 269, 1358, 941, 8385, 11827, 538, 3624, 676, 513, 2754, 1572, 681, 8500, 534, 267, 855, 616, 1631, 3812, 676, 1896, 3549, 538, 519, 2136, 2276, 267, 2342, 543, 1472, 519, 1158, 269, 5221, 519, 15111, 814, 25868, 6928, 906, 540, 5907, 13189, 543, 741, 3334, 593, 519, 12406, 602, 789, 616, 10363, 3075, 1673, 601, 6116, 3457, 267, 930, 3549, 267, 1519, 519, 17906, 2861, 26192, 9373, 1440, 2478, 267, 723, 13175, 1818, 552, 24294, 12076, 2472, 538, 519, 2136, 2276, 3079, 540, 1104, 532, 873, 1496, 25899, 281, 918, 525, 16347, 543, 962, 611, 1258, 4940, 3509, 552, 2275, 580, 9755, 6133, 519, 2472, 2228, 267, 2059, 609, 519, 2838, 7047, 5090, 2471, 267, 9075, 543, 824, 17960, 563, 277, 281, 3502, 17718, 7888, 454, 16978, 3055, 16906, 9755, 616, 6297, 711, 547, 2047, 2344, 741, 1587, 547, 1762, 1004, 269, 1717, 267, 15522, 7047, 5090, 2471, 585, 519, 552, 24294, 12076, 2097, 538, 513, 2647, 2039, 540, 10366, 2693, 547, 9029, 547, 3214, 4534, 1589, 10217, 267, 1286, 14712, 267, 12450, 9440, 543, 1256, 19389, 10733, 269, 1656, 1317, 552, 24294, 10577, 616, 4421, 2228, 267, 621, 781, 4443, 585, 3214, 547, 6718, 873, 982, 621, 568, 585, 873, 547, 4444, 2834, 10269, 13189, 269, 1280, 1383, 267, 772, 2529, 269, 1876, 3340, 6800, 547, 1683, 6169, 602, 789, 616, 693, 2547, 476, 1240, 1296, 540, 2085, 547, 4444, 10269, 13189, 267, 855, 713, 1876, 1281, 711, 4019, 547, 552, 2275, 580, 23965, 269, 1656, 1762, 1004, 949, 581, 13631, 547, 552, 24294, 10577, 607, 513, 1267, 540, 519, 3007, 28245, 616, 8744, 547, 873, 281, 3627, 5500, 1546, 653, 3096, 835, 538, 519, 4670, 834, 763, 12875, 626, 257, 543, 834, 294, 9445, 781, 22845, 257, 5182, 918, 15811, 1261, 580, 331, 3838, 835, 609, 6424, 14594, 2006, 1282, 513, 16823, 5920, 593, 1010, 1397, 267, 1256, 7713, 547, 519, 5304, 875, 621, 1568, 1496, 25899, 281, 3235, 580, 3820, 543, 28865, 14073, 16978, 3055, 13189, 2097, 538, 513, 2039, 540, 5777, 267, 4470, 593, 519, 10672, 267, 2203, 543, 2511, 269, 589, 6093, 25690, 6539, 267, 799, 3568, 519, 552, 24294, 12076, 3926, 267, 513, 6007, 543, 1896, 7047, 5090, 2471, 267, 666, 1942, 9170, 689, 1269, 2568, 547, 1269, 5611, 269, 589, 3640, 540, 2947, 7047, 5090, 2471, 630, 16029, 547, 827, 513, 3640, 540, 13189, 267, 4470, 593, 875, 1454, 513, 1268, 1159, 10280, 264, 4422, 585, 827, 1269, 1015, 269, 3117, 28366, 849, 666, 6718, 519, 5277, 538, 13557, 543, 1201, 650, 519, 7047, 5090, 2471, 2933, 267, 799, 6971, 519, 1942, 563, 275, 281, 20904, 22490, 454, 16978, 3055, 13189, 616, 6007, 14617, 543, 23431, 267, 855, 3755, 1590, 5279, 519, 6007, 5781, 269, 2368, 3755, 723, 5360, 7134, 827, 519, 991, 547, 5372, 9075, 1932, 4749, 267, 1498, 713, 949, 4096, 593, 519, 2298, 540, 519, 3926, 543, 6007, 12349, 269, 634, 5277, 538, 519, 7047, 5090, 2471, 849, 2115, 547, 581, 759, 6269, 29736, 5781, 267, 2901, 676, 29780, 513, 1007, 7047, 16466, 610, 1201, 3739, 606, 8900, 835, 269, 12832, 13534, 5277, 568, 4421, 538, 13557, 585, 6800, 945, 4782, 713, 22928, 630, 663, 14949, 264, 4781, 563, 274, 281, 3502, 15111, 3204, 4327, 267, 8616, 454, 763, 15111, 568, 538, 519, 1184, 540, 2348, 552, 24294, 10577, 13042, 607, 513, 3075, 1673, 601, 6116, 3926, 865, 789, 666, 581, 14931, 1496, 25899, 281, 15111, 4940, 13583, 20445, 267, 2705, 267, 2161, 519, 552, 24294, 12076, 568, 3274, 16351, 267, 543, 1058, 711, 581, 1641, 547, 15111, 7939, 269, 5565, 552, 24294, 12076, 3549, 267, 25003, 5272, 3602, 543, 27359, 302, 312, 267, 647, 539, 519, 15111, 538, 519, 8664, 5480, 540, 519, 10588, 540, 12052, 585, 791, 15929, 741, 2472, 267, 543, 4465, 269, 634, 9794, 12199, 602, 834, 11004, 568, 1100, 4493, 585, 519, 15111, 547, 1521, 5907, 13189, 2560, 607, 513, 3075, 11546, 341, 823, 4999, 950, 782, 789, 1625, 1636, 547, 798, 568, 2709, 6800, 519, 1482, 16351, 2360, 607, 513, 2834, 16906, 257, 1496, 25899, 281, 772, 2529, 269, 10588, 7040, 14073, 10048, 3011, 20445, 1419, 2303, 552, 24294, 10577, 1459, 1100, 1072, 4220, 1317, 789, 1810, 1405, 12520, 2034, 8518, 8673, 269, 19938, 540, 5907, 16906, 946, 568, 1869, 9687, 267, 607, 519, 1587, 568, 5266, 1007, 269, 13583, 20445, 1419, 2344, 552, 24294, 10577, 607, 13189, 596, 666, 8673, 9170, 267, 6031, 602, 789, 1459, 1100, 1072, 4220, 1317, 789, 1810, 1405, 12520, 2034, 8518, 8673, 269, 1717, 267, 1072, 4966, 2161, 972, 568, 1100, 4493, 585, 513, 3106, 3409, 267, 607, 552, 24294, 10577, 723, 711, 1044, 18113, 7318, 269, 22769, 4268, 267, 855, 930, 2477, 267, 1519, 5245, 267, 4516, 267, 5840, 543, 6792, 267, 723, 17049, 5907, 13189, 1496, 25899, 281, 715, 11266, 4940, 11524, 2015, 5907, 13189, 3656, 267, 855, 616, 538, 519, 1184, 540, 9777, 908, 1141, 543, 875, 1004, 666, 946, 873, 563, 272, 281, 5822, 8518, 966, 8388, 454, 4407, 552, 24294, 10577, 1810, 1405, 3132, 2034, 8518, 8673, 267, 789, 798, 3132, 2034, 8518, 11517, 269, 1656, 1256, 1498, 9755, 2161, 602, 621, 781, 8806, 1216, 11517, 543, 4061, 20027, 267, 9431, 8041, 543, 1072, 4966, 25077, 602, 552, 24294, 12076, 15670, 10093, 1405, 5342, 519, 1382, 2877, 547, 6961, 713, 269, 2368, 2043, 267, 3226, 1346, 609, 1072, 2175, 602, 1118, 873, 6213, 267, 723, 4080, 602, 519, 11517, 568, 8886, 908, 547, 741, 4064, 267, 562, 4680, 543, 31462, 1846, 267, 543, 602, 621, 5540, 741, 7244, 543, 2306, 873, 562, 1021, 748, 269, 11534, 7859, 540, 552, 24294, 10577, 2161, 1004, 12582, 1405, 581, 16271, 547, 2034, 8518, 11517, 2394, 9755, 723, 8810, 621, 547, 581, 2922, 585, 3025, 267, 1519, 1453, 267, 519, 11361, 543, 1004, 609, 1978, 2564, 2175, 563, 20684, 8385, 3370, 689, 20570, 2657, 267, 676, 19626, 18706, 573, 344, 563, 1892, 20779, 1157, 267, 22526, 269, 834, 288, 4400, 6874, 3663, 13979, 547, 15775, 513, 12832, 13534, 674, 1460, 1701, 11968, 13353, 8648, 269, 4989, 476, 1839, 267, 476, 1220, 280, 630, 5353, 696, 269, 476, 274, 267, 476, 1001, 271, 264, 5291, 2517, 14895, 7456, 520, 1307, 2593, 270, 1220, 280, 270, 777, 337, 270, 1839, 11320, 5454, 11721, 326, 7302, 2088, 24294, 10577, 1839, 454, 1892, 292, 2275, 580, 3820, 269, 834, 11990, 5500, 1546, 653, 966, 16747, 606, 18329, 595, 7837, 12076, 593, 1412, 763, 12875, 626, 9538, 257, 5463, 269, 476, 1428 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12634, 22553, 2223, 3576, 1747, 5063, 538, 513, 9241, 4362, 11895, 2230, 2282, 519, 7013, 2427, 540, 13243, 779, 5375, 9931, 267, 1369, 519, 5096, 1749, 517, 16329, 1670, 7467, 269, 634, 9125, 6048, 945, 5645, 856, 519, 2007, 267, 24204, 1998, 4446, 1276, 267, 6045, 602, 519, 1309, 591, 333, 748, 2230, 729, 851, 540, 519, 1950, 1216, 1062, 602, 4547, 1216, 547, 21125, 779, 13527, 930, 476, 273, 267, 10384, 1296, 3516, 563, 763, 2140, 968, 6635, 974, 1108, 892, 568, 513, 683, 860, 1143, 799, 11225, 875, 519, 7376, 10905, 3504, 2035, 609, 2413, 17375, 6272, 563, 14881, 993, 1360, 6766, 676, 18305, 1031, 538, 3504, 4529, 2223, 15243, 990, 545, 328, 6045, 269, 968, 763, 1858, 1472, 519, 32363, 613, 534, 543, 519, 8109, 11335, 3812, 930, 8748, 23907, 689, 10036, 543, 6149, 2264, 267, 799, 26182, 803, 538, 1250, 960, 269, 1452, 12977, 1107, 29901, 523, 2801, 534, 267, 18264, 6350, 4754, 267, 12266, 543, 3504, 18303, 1107, 3812, 8043, 602, 941, 1312, 12716, 543, 26729, 3034, 288, 20469, 543, 26729, 3504, 20341, 454, 1103, 1200, 2606, 24616, 827, 519, 14266, 267, 519, 1225, 1807, 267, 4515, 269, 594, 761, 2098, 858, 518, 267, 4767, 281, 968, 1103, 519, 3883, 540, 19606, 267, 649, 616, 5143, 602, 812, 729, 1500, 856, 540, 10036, 269, 2696, 3576, 10036, 543, 1500, 513, 19562, 710, 856, 540, 621, 1107, 799, 729, 1287, 19347, 676, 519, 7362, 540, 2696, 3034, 24685, 519, 3883, 540, 19606, 267, 649, 616, 5143, 602, 812, 729, 1500, 856, 540, 10036, 269, 2696, 3576, 10036, 543, 1500, 513, 19562, 710, 856, 540, 621, 1107, 799, 729, 1287, 19347, 676, 519, 7362, 540, 2696, 1848, 30267, 269, 594, 761, 2098, 858, 518, 454, 1607, 8343, 729, 16079, 539, 538, 15243, 990, 545, 328, 779, 2663, 6085, 281, 968, 5141, 599, 814, 606, 1648, 282, 930, 1004, 2161, 602, 621, 814, 513, 6891, 540, 922, 1378, 3034, 313, 858, 518, 4797, 1200, 2911, 676, 6031, 602, 1568, 689, 10036, 13822, 519, 9510, 1570, 585, 1480, 7919, 547, 9044, 883, 5546, 563, 2108, 5575, 607, 19562, 1149, 267, 971, 607, 585, 7329, 11169, 2223, 1352, 1767, 269, 968, 10190, 267, 950, 789, 4362, 602, 621, 1223, 581, 2322, 883, 3595, 693, 1164, 5210, 543, 1500, 883, 513, 6149, 3620, 731, 267, 1216, 31383, 1570, 267, 2367, 3459, 547, 946, 10036, 607, 11149, 585, 15559, 543, 547, 4558, 9274, 543, 865, 593, 269, 5221, 10036, 729, 865, 2139, 267, 621, 729, 849, 1031, 585, 519, 1101, 20072, 269, 9093, 5206, 593, 10036, 543, 2813, 26561, 540, 10036, 3034, 9515, 1287, 5219, 721, 547, 513, 12718, 1500, 676, 15243, 990, 545, 328, 269, 968, 763, 12718, 13021, 814, 513, 2898, 1374, 865, 602, 950, 596, 5066, 621, 936, 10036, 267, 596, 1205, 606, 11995, 12705, 269, 5047, 267, 596, 1223, 1118, 20398, 547, 1628, 513, 2777, 689, 10036, 3034, 297, 659, 984, 990, 545, 328, 729, 6537, 547, 891, 3504, 21050, 525, 267, 855, 1352, 849, 4941, 547, 1039, 1945, 811, 4207, 563, 2108, 5472, 1250, 1082, 4773, 616, 6273, 676, 3504, 4529, 2223, 1352, 1767, 267, 968, 8117, 594, 6557, 2921, 621, 12341, 3116, 269, 594, 6557, 3843, 547, 2322, 513, 4207, 3068, 593, 519, 4773, 269, 2353, 891, 3504, 4529, 1107, 29901, 523, 2801, 534, 267, 18264, 6350, 4754, 267, 12266, 267, 3504, 18303, 1107, 941, 782, 519, 4529, 1472, 519, 32363, 613, 534, 609, 799, 649, 1185, 3346, 609, 676, 2713, 1934, 3034, 297, 659, 984, 15960, 328, 11329, 547, 835, 540, 1200, 1568, 1759, 593, 519, 1650, 540, 13744, 1695, 281, 968, 1607, 568, 14356, 13400, 543, 14356, 18264, 6350, 4754, 269, 594, 3769, 513, 2603, 540, 5214, 3029, 1107, 3165, 543, 6329, 543, 865, 8521, 1848, 8672, 532, 547, 1776, 960, 540, 1200, 338, 1107, 513, 12718, 13021, 799, 31061, 519, 9909, 540, 9478, 1107, 1352, 6941, 281, 968, 1607, 568, 513, 1360, 3504, 1106, 267, 799, 568, 3006, 1031, 547, 2995, 2984, 269, 634, 3029, 593, 519, 12718, 6813, 519, 9909, 540, 9478, 543, 1010, 12496, 3034, 5194, 13400, 4704, 568, 1336, 538, 513, 4544, 642, 848, 593, 799, 616, 13099, 344, 6350, 269, 968, 4322, 3277, 547, 519, 1650, 540, 15584, 267, 945, 729, 5116, 538, 513, 11127, 540, 556, 2644, 543, 6083, 730, 1524, 519, 20407, 543, 729, 11324, 4240, 3034, 5522, 5217, 713, 14266, 538, 606, 4890, 15456, 3135, 568, 3483, 569, 1114, 269, 968, 10144, 1131, 7363, 979, 547, 1294, 4207, 1148, 538, 513, 19922, 2223, 1767, 15243, 990, 545, 328, 269, 968, 3383, 621, 779, 8744, 1272, 883, 606, 3504, 2230, 267, 606, 3504, 1747, 689, 519, 3689, 13527, 1974, 269, 901, 2636, 596, 547, 1995, 519, 23907, 538, 513, 1114, 1259, 3034, 3080, 540, 519, 2042, 519, 7376, 5185, 729, 519, 13946, 6438, 2230, 3294, 269, 968, 2005, 779, 513, 16602, 2230, 883, 799, 547, 2322, 11247, 269, 634, 2856, 3297, 11093, 519, 8858, 1934, 729, 547, 2285, 621, 606, 5214, 1745, 269, 2334, 568, 1946, 519, 1568, 616, 17735, 538, 2230, 865, 596, 666, 1847, 1472, 873, 543, 2070, 873, 269, 4935, 596, 1995, 1312, 519, 1148, 543, 519, 22884, 8195, 3034, 297, 659, 984, 990, 545, 328, 20827, 715, 6308, 534, 681, 2378, 6130, 328, 547, 1374, 519, 2497, 547, 3180, 782, 519, 23907, 269, 1261, 2966, 513, 2836, 1457, 6438, 1796, 602, 4847, 519, 21951, 547, 1294, 519, 1568, 689, 782, 5011, 563, 1103, 606, 11105, 13946, 267, 972, 729, 513, 4159, 540, 6151, 267, 796, 6921, 18968, 17428, 267, 799, 6743, 899, 789, 941, 538, 4890, 946, 676, 3504, 1004, 563, 313, 858, 518, 3989, 519, 4644, 540, 519, 7376, 779, 960, 281, 968, 301, 545, 1961, 568, 513, 4207, 13956, 656, 540, 782, 891, 3504, 1494, 1562, 267, 543, 1200, 960, 568, 513, 4207, 1491, 11325, 540, 873, 267, 6273, 676, 519, 606, 857, 757, 269, 2701, 3085, 1406, 708, 10028, 519, 3504, 1494, 1562, 267, 1352, 814, 5876, 540, 1200, 1378, 269, 2701, 19267, 593, 519, 10824, 543, 1286, 1407, 883, 519, 1350, 1794, 675, 540, 519, 4282, 269, 2701, 6901, 538, 1585, 20590, 2553, 602, 22937, 513, 1978, 1826, 540, 9403, 547, 519, 10824, 269, 2290, 1267, 540, 1200, 20590, 2553, 568, 602, 1352, 2306, 1570, 543, 2686, 4296, 1063, 519, 1079, 3034, 297, 659, 984, 990, 545, 328, 729, 10483, 676, 1200, 9393, 267, 3244, 15939, 267, 513, 2923, 7209, 945, 568, 1634, 267, 1851, 824, 1919, 267, 585, 1010, 5499, 7641, 3126, 593, 22884, 269, 2311, 1010, 7385, 779, 1397, 267, 646, 4767, 281, 968, 296, 723, 2938, 1082, 15456, 2007, 338, 267, 855, 789, 616, 9247, 4666, 4609, 267, 513, 24744, 547, 519, 1279, 8854, 2250, 269, 1809, 1934, 267, 519, 15456, 3135, 3294, 814, 2097, 9800, 998, 12832, 1961, 779, 23907, 3034, 7212, 713, 14266, 729, 593, 4159, 585, 1152, 513, 7008, 540, 2395, 538, 13243, 267, 972, 616, 4566, 547, 1491, 621, 547, 1883, 4872, 13383, 563, 2108, 5978, 2856, 2223, 1767, 15243, 990, 545, 328, 267, 968, 529, 547, 4159, 519, 23907, 11992, 269, 1284, 2907, 723, 1719, 689, 18603, 267, 19519, 543, 7507, 269, 589, 1360, 1271, 7969, 1148, 10404, 3357, 2523, 689, 5507, 547, 1294, 519, 960, 269, 1284, 723, 513, 23031, 945, 814, 3144, 6337, 540, 713, 2230, 1934, 547, 581, 1031, 607, 513, 4282, 585, 606, 14266, 3544, 5840, 269, 1703, 616, 824, 4025, 538, 519, 1158, 1141, 649, 1223, 2198, 622, 519, 8858, 538, 606, 3504, 2230, 269, 769, 7507, 267, 585, 1383, 267, 972, 616, 7899, 540, 3504, 23572, 610, 5624, 602, 649, 1223, 946, 3034, 763, 14266, 2982, 1018, 666, 581, 2944, 547, 8415, 519, 2250, 538, 513, 3860, 1259, 267, 607, 1134, 607, 3095, 621, 547, 519, 4207, 1158, 538, 513, 6752, 602, 26549, 1312, 519, 2250, 543, 519, 1459, 269, 19065, 510, 0, 21914, 3256, 540, 15776, 1054, 334, 910, 15730, 15333, 21082, 946, 454, 26397, 4266, 281, 476, 1001, 277, 454, 3849, 3421, 1417, 15333, 21082, 946, 667, 25353, 20978, 5990, 700, 2464, 5588, 9816, 667, 4932, 22593, 295, 2975, 6730, 31178, 590, 7838, 12717, 312, 630, 17162, 9391, 1070, 476, 1001, 275, 918, 5058, 291, 6865, 5508, 700, 2464, 5588, 9816, 1548, 666, 581, 2944, 547, 1489, 5178, 1054, 334, 10708, 547, 2061, 26516, 6379, 286, 4643, 585, 875, 267, 950, 543, 1141, 1114, 2516, 540, 16770, 3742, 10708, 630, 3405, 3072, 543, 796, 3405, 3072, 267, 8695, 543, 6690, 267, 6917, 543, 4683, 264, 946, 543, 798, 711, 946, 15333, 4003, 269, 6258, 519, 4128, 1946, 10708, 616, 711, 1210, 15333, 4003, 267, 543, 1020, 4507, 543, 15961, 547, 1732, 2232, 741, 2115, 269, 13760, 602, 10708, 949, 1205, 15333, 4003, 689, 513, 3099, 540, 2959, 543, 2327, 602, 1142, 540, 891, 2959, 666, 1683, 1164, 2298, 2533, 585, 10708, 269, 19766, 6579, 3633, 5442, 476, 1001, 277, 1923, 772, 11520, 28714, 715, 10976, 4932, 21612, 476, 1001, 277, 32183, 2551, 281, 945, 616, 789, 286, 769, 519, 8003, 540, 15776, 1054, 334, 267, 972, 616, 476, 5392, 274, 476, 1822, 10708, 9907, 476, 1015, 1700, 866, 1296, 1107, 476, 2537, 269, 273, 260, 540, 519, 2197, 779, 2698, 2551, 269, 328, 6168, 1614, 20453, 540, 10708, 2661, 538, 6917, 2127, 267, 476, 10619, 269, 274, 260, 540, 15730, 6690, 543, 476, 6507, 269, 276, 260, 540, 15730, 8695, 269, 328, 1635, 2085, 476, 866, 267, 519, 1611, 1297, 540, 1296, 540, 18375, 13984, 676, 15730, 6690, 568, 476, 279, 269, 276, 267, 1247, 585, 15730, 8695, 621, 568, 476, 278, 269, 272, 269, 4512, 7324, 10708, 945, 1831, 3237, 1354, 2085, 476, 736, 267, 519, 3328, 2085, 693, 799, 5178, 1054, 334, 15730, 6690, 723, 741, 1101, 4816, 568, 476, 1704, 269, 279, 1296, 267, 1247, 519, 3328, 2085, 693, 799, 15730, 8695, 1101, 1831, 18971, 568, 476, 1240, 269, 273, 269, 4512, 20351, 2534, 543, 29281, 4567, 5811, 540, 1239, 689, 519, 31298, 9391, 4512, 2982, 602, 936, 476, 10019, 476, 1822, 5178, 1054, 334, 9907, 476, 1428, 1700, 866, 616, 4867, 16770, 3742, 1107, 789, 616, 2901, 796, 3405, 3072, 543, 723, 1185, 3023, 538, 519, 2063, 1614, 3275, 610, 789, 616, 538, 513, 9769, 630, 328, 4318, 269, 9310, 610, 2713, 1927, 1040, 2201, 3328, 267, 1851, 10708, 945, 1185, 3023, 1354, 2085, 476, 736, 267, 15730, 6690, 1101, 723, 4638, 26697, 693, 2085, 476, 1626, 269, 275, 1296, 543, 15730, 8695, 693, 476, 1428, 269, 280, 1296, 269, 7324, 796, 3405, 3072, 10708, 267, 476, 4097, 269, 273, 260, 540, 15730, 6690, 1867, 2479, 2348, 3023, 543, 476, 1428, 269, 274, 260, 616, 4867, 16770, 3742, 282, 1851, 15730, 8695, 267, 476, 6795, 269, 273, 260, 1867, 2479, 2348, 3023, 267, 1247, 476, 3451, 269, 272, 260, 616, 4867, 16770, 3742, 269, 7324, 782, 5178, 1054, 334, 10708, 267, 476, 1704, 269, 278, 260, 540, 15730, 6690, 543, 476, 272, 269, 271, 260, 540, 15730, 8695, 616, 538, 513, 9769, 269, 7324, 891, 10708, 267, 519, 1611, 2085, 540, 519, 1101, 9769, 568, 476, 1704, 269, 276, 1296, 585, 15730, 6690, 543, 476, 1240, 269, 274, 585, 15730, 8695, 269, 2552, 571, 21082, 946, 543, 1875, 14025, 1851, 15730, 6690, 16658, 13543, 476, 272, 269, 2422, 543, 1875, 14025, 540, 15333, 4003, 281, 796, 3405, 3072, 16770, 3742, 15730, 6690, 267, 9907, 476, 1428, 1700, 866, 1296, 630, 8472, 3502, 1210, 2060, 9526, 531, 21058, 598, 3256, 22503, 598, 3256, 30346, 769, 915, 762, 15333, 1061, 1161, 16658, 13543, 476, 273, 269, 2422, 543, 1875, 14025, 540, 15333, 4003, 281, 15730, 6690, 538, 9769, 267, 9907, 476, 1428, 1700, 866, 1296, 630, 8472, 700, 8780, 3633, 20978, 19845, 17129, 661, 13697, 4488, 20937, 9215, 17834, 4306, 661, 13697, 4488, 20937, 700, 8780, 3633, 20978, 19845, 17129, 661, 13697, 4488, 20937, 9215, 17834, 4306, 661, 13697, 4488, 20937, 1133, 3405, 3072, 267, 16770, 3742, 4340, 547, 31298, 9391, 4512, 9382, 267, 476, 10019, 269, 272, 260, 540, 796, 3405, 3072, 267, 16770, 3742, 15730, 6690, 1867, 711, 16462, 513, 1126, 538, 519, 1985, 1079, 1296, 267, 543, 476, 6924, 269, 276, 260, 540, 873, 616, 4867, 1210, 1022, 1505, 547, 2061, 6379, 269, 634, 1292, 4128, 891, 10708, 1867, 585, 711, 1210, 513, 15333, 21082, 1505, 1331, 281, 3040, 711, 9310, 630, 5392, 269, 272, 8472, 3040, 1102, 7528, 550, 3023, 630, 2190, 269, 275, 8472 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1285, 326, 1592, 454, 1721, 1775, 538, 2039, 263, 271, 267, 7003, 6600, 1998, 15892, 825, 1285, 326, 6910, 6600, 1998, 5157, 316, 14370, 328, 266, 272, 11723, 258, 8873, 1611, 543, 3044, 11539, 540, 519, 2609, 538, 1592, 1285, 326, 454, 11743, 815, 5286, 32557, 263, 822, 326, 994, 1805, 534, 28319, 815, 5286, 14714, 323, 263, 822, 326, 267, 9536, 1993, 284, 272, 264, 1948, 1877, 23403, 546, 323, 1993, 815, 476, 272, 3947, 606, 28102, 3934, 1807, 630, 6748, 715, 268, 272, 2020, 308, 5746, 815, 1611, 1341, 476, 272, 269, 9834, 265, 1805, 534, 28319, 270, 12639, 28460, 12759, 263, 822, 326, 4297, 1948, 21639, 476, 4817, 260, 16275, 454, 299, 5746, 815, 1611, 910, 476, 272, 269, 9834, 265, 1805, 534, 28319, 270, 12639, 28460, 12759, 263, 822, 326, 4297, 1948, 12294, 476, 4817, 260, 16275, 692, 258, 7120, 519, 25939, 6029, 19427, 454, 10823, 19502, 263, 822, 326, 994, 10823, 11859, 16932, 3488, 258, 540, 5439, 5073, 10823, 269, 29786, 3488, 7246, 311, 263, 271, 267, 2473, 268, 273, 264, 5073, 10823, 20481, 10797, 2745, 834, 4817, 260, 30151, 3955, 1998, 585, 519, 4397, 942, 547, 5821, 568, 1063, 2580, 772, 5746, 267, 834, 663, 2580, 700, 5746, 267, 834, 5976, 19427, 1611, 540, 24333, 1611, 0, 5035, 1004, 912, 825, 1948, 13127, 362, 504, 18263, 487, 417, 509, 374, 10951, 361, 31271, 508, 26233, 356, 454, 825, 2012, 815, 1412, 7055, 825, 2085, 815, 476, 271, 454, 825, 1948, 13127, 362, 504, 18263, 487, 26175, 479, 20069, 31271, 508, 26233, 356, 267, 26175, 479, 20069, 31271, 508, 26233, 356, 21928, 32352, 14035, 500, 421, 481, 357, 20721, 510, 25622, 25203, 368, 26406, 354, 13213, 505, 27310, 18777, 379, 25426, 362, 454, 825, 6449, 7076, 815, 476, 271, 692, 825, 1948, 13127, 362, 504, 18263, 487, 22909, 482, 20881, 510, 25913, 25622, 454, 825, 1219, 6449, 8181, 9191, 1345, 267, 562, 267, 513, 267, 530, 2187, 1038, 1582, 20508, 815, 562, 454, 1038, 1582, 269, 720, 815, 513, 454, 1038, 1582, 14857, 7076, 815, 530, 692, 825, 1219, 3717, 4311, 2187, 1038, 1820, 2891, 260, 338, 476, 13644, 368, 281, 476, 16043, 495, 4939, 323, 13127, 366, 479, 12486, 257, 4939, 630, 1345, 20508, 267, 1582, 269, 720, 264, 9239, 335, 815, 1004, 3488, 14725, 334, 984, 3299, 476, 1015, 267, 476, 1789, 9239, 5035, 3807, 290, 3300, 912, 825, 6449, 572, 4038, 15575, 815, 476, 271, 476, 1948, 22614, 356, 479, 20069, 9463, 502, 19404, 493, 454, 825, 1857, 15575, 815, 476, 271, 476, 1948, 476, 10429, 361, 19764, 478, 9463, 502, 19404, 493, 692, 825, 1219, 1293, 4311, 2187, 1038, 1582, 14857, 572, 4038, 15575, 6834, 476, 272, 454, 1038, 1582, 4877, 3016, 15575, 6834, 476, 272, 454, 1038, 1820, 4311, 14857, 572, 4038, 15575, 9239, 322, 3300, 815, 3807, 290, 3300, 4590, 322, 3300, 29644, 4590, 322, 3300, 29644, 10797, 322, 3300, 272, 815, 3807, 290, 3300, 4590, 322, 3300, 272, 29644, 4590, 322, 3300, 272, 29644, 4590, 0, 258, 7383, 476, 275, 1898, 8021, 692, 5814, 20956, 273, 607, 20956, 454, 5814, 11885, 607, 5286, 454, 5814, 21267, 28272, 607, 12301, 454, 5228, 11885, 6983, 648, 269, 3698, 10420, 6783, 1104, 5044, 454, 5814, 21723, 6503, 607, 23686, 692, 258, 670, 24688, 2207, 303, 2752, 4456, 306, 454, 8008, 2316, 11085, 313, 2207, 815, 834, 611, 600, 4840, 7968, 302, 6224, 306, 815, 476, 274, 454, 299, 5308, 306, 815, 257, 338, 27785, 6831, 1538, 5566, 6831, 1484, 550, 16552, 5016, 18851, 3689, 1900, 568, 547, 4452, 519, 10471, 540, 519, 1688, 25740, 9704, 3097, 8794, 519, 30400, 8780, 10471, 530, 2129, 747, 5161, 540, 1472, 476, 2568, 267, 1822, 2592, 540, 1688, 25740, 9704, 454, 20701, 19282, 626, 815, 23686, 21993, 10327, 6155, 21648, 1115, 6230, 333, 626, 692, 258, 590, 5902, 883, 2866, 543, 4152, 1239, 692, 3287, 17601, 267, 586, 17601, 1070, 630, 343, 15305, 267, 586, 15305, 264, 815, 544, 333, 626, 269, 2903, 12774, 10797, 258, 16453, 1047, 519, 1239, 267, 18440, 621, 1524, 1063, 476, 271, 543, 476, 272, 692, 343, 17601, 815, 23686, 21993, 10327, 269, 583, 2812, 269, 7538, 1125, 3287, 17601, 267, 7852, 284, 272, 994, 343, 15305, 815, 23686, 21993, 10327, 269, 583, 2812, 269, 7538, 1125, 3287, 15305, 267, 7852, 284, 272, 2020, 258, 8921, 1900, 568, 547, 5581, 519, 2203, 267, 606, 3403, 4494, 267, 476, 273, 6456, 6106, 543, 606, 3977, 4494, 692, 16347, 815, 23686, 21993, 10327, 6230, 617, 1564, 2529, 3225, 1113, 4590, 16347, 14491, 6025, 325, 21993, 10327, 7456, 16558, 12171, 26245, 1084, 9272, 318, 27729, 14352, 2764, 267, 476, 2764, 21875, 16347, 14491, 6025, 325, 21993, 10327, 7456, 16558, 6185, 1619, 263, 28493, 284, 12553, 267, 11852, 284, 339, 325, 8542, 333, 18622, 1663, 4917, 16347, 14491, 6025, 325, 21993, 10327, 7456, 16558, 6185, 1619, 263, 28493, 284, 12553, 267, 11852, 284, 339, 325, 8542, 333, 18622, 1663, 4917, 16347, 14491, 6025, 325, 21993, 10327, 7456, 16558, 6185, 1619, 263, 28493, 284, 1015, 267, 11852, 284, 339, 325, 8542, 333, 269, 7809, 10946, 11723, 258, 7844, 568, 3710, 609, 513, 24609, 539, 3403, 4494, 267, 476, 273, 10053, 834, 327, 5200, 257, 6106, 543, 606, 3977, 4494, 609, 519, 2571, 10946, 1599, 692, 258, 3281, 4979, 519, 2203, 692, 16347, 2593, 335, 850, 263, 9953, 574, 6500, 284, 8008, 2316, 11085, 313, 2207, 267, 2530, 284, 700, 5308, 306, 267, 14573, 284, 14277, 3147, 5596, 19312, 2020, 258, 28546, 519, 2203, 543, 5721, 519, 8849, 3060, 692, 16347, 32265, 3287, 17601, 267, 586, 17601, 267, 22184, 338, 284, 7968, 302, 6224, 306, 2020, 258, 21414, 519, 2203, 692, 3147, 5596, 267, 2530, 815, 2203, 4318, 1998, 10663, 3287, 15305, 267, 586, 15305, 994, 2745, 263, 3147, 5596, 994, 2745, 10857, 1601, 2020, 258, 16440, 519, 2203, 865, 4152, 1281, 711, 991, 547, 581, 2944, 936, 543, 936, 692, 16347, 4732, 1511, 6600, 257, 9953, 574, 6500, 3709, 8008, 2316, 11085, 313, 2207, 20731, 788, 5255, 338, 3709, 7968, 302, 6224, 306, 20731, 29754, 3709, 299, 5308, 306, 20467, 16347, 15419, 258, 8921, 1900, 568, 547, 1224, 538, 1449, 1239, 2813, 538, 9786, 5862, 1210, 7046, 20302, 454, 258, 7844, 12605, 540, 16865, 1688, 2854, 5862, 9704, 692, 1721, 1535, 538, 2039, 263, 272, 267, 277, 2187, 825, 708, 326, 815, 20956, 269, 574, 1348, 6600, 257, 346, 343, 20467, 335, 978, 8442, 18020, 281, 267, 271, 2639, 825, 708, 326, 815, 5286, 23357, 3200, 18828, 15126, 8443, 19112, 28413, 825, 12605, 815, 2203, 4877, 9438, 263, 19112, 994, 825, 1820, 6600, 10454, 1267, 568, 4440, 281, 2715, 12639, 27769, 10946, 9638, 1042, 2109, 14587, 5602, 825, 12301, 269, 574, 19651, 263, 19112, 314, 271, 3910, 4699, 777, 284, 10823, 6983, 332, 12500, 2435, 994, 825, 12301, 20481, 10797, 258, 8921, 1900, 568, 547, 1711, 513, 717, 21397, 1141, 9704, 666, 581, 6537, 607, 5862, 533, 978, 6119, 616, 540, 4057, 2298, 4758, 1447, 982, 5551, 2164, 454, 0, 5035, 853, 1846, 3890, 1384, 825, 5727, 11649, 906, 2596, 28135, 29185, 825, 1219, 6449, 8181, 9191, 1345, 267, 28135, 2187, 1038, 2119, 912, 2018, 1582, 10422, 22333, 815, 28135, 14277, 13048, 294, 31116, 2018, 1582, 10611, 22333, 815, 28135, 14277, 14641, 294, 31116, 2018, 1582, 269, 4338, 294, 815, 28135, 14277, 4338, 294, 31116, 2018, 1582, 2529, 22333, 815, 28135, 14277, 9915, 294, 31116, 2018, 1582, 11065, 22333, 815, 28135, 14277, 21990, 294, 31116, 2018, 1582, 11053, 302, 815, 28135, 14277, 15674, 31116, 1038, 4849, 6206, 13286, 607, 5470, 912, 2018, 1820, 263, 19587, 2020, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 3977, 815, 9497, 32622, 281, 834, 1341, 1193, 4311, 10422, 22333, 1070, 834, 3725, 321, 2432, 281, 834, 1341, 1193, 4311, 10611, 22333, 13211, 4449, 476, 834, 10112, 1235, 281, 834, 1341, 1193, 4311, 269, 4338, 294, 1070, 834, 17556, 1023, 281, 834, 1341, 1193, 4311, 2529, 22333, 13211, 4449, 476, 834, 7922, 4169, 281, 834, 1341, 1193, 4311, 11065, 22333, 1070, 834, 31282, 744, 951, 281, 834, 1341, 1193, 4311, 11053, 302, 4917, 1038, 2132, 19629, 333, 2668, 21860, 263, 16059, 264, 9239, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 6060, 815, 2715, 257, 13048, 294, 9899, 476, 2767, 269, 273, 267, 834, 4338, 294, 9899, 476, 278, 269, 273, 267, 834, 14641, 294, 9899, 476, 278, 269, 274, 267, 834, 9915, 294, 9899, 476, 272, 269, 277, 267, 834, 21990, 294, 9899, 476, 271, 269, 278, 267, 834, 15674, 9899, 476, 274, 269, 276, 8679, 825, 589, 815, 853, 1846, 263, 16557, 994, 825, 1820, 10490, 994, 0, 18851, 3097, 935, 13935, 1362, 1843, 609, 10305, 543, 2409, 585, 1818, 519, 26889, 267, 543, 7900, 17756, 267, 23937, 543, 2655, 4801, 267, 607, 1134, 607, 18071, 26889, 3239, 454, 20701, 5228, 623, 6579, 1104, 12005, 454, 5814, 15259, 692, 5035, 9995, 16049, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 267, 3694, 267, 19703, 267, 5779, 267, 10381, 267, 17724, 773, 2187, 1038, 1582, 20508, 815, 2012, 454, 1038, 1582, 12500, 1348, 815, 3694, 454, 1038, 1582, 6155, 7675, 815, 19703, 454, 1038, 1582, 269, 1889, 520, 815, 5779, 454, 1038, 1582, 269, 3832, 3150, 815, 10381, 454, 1038, 1582, 269, 557, 1375, 773, 815, 17724, 773, 692, 825, 1219, 1118, 2750, 4003, 4311, 267, 6221, 13911, 267, 6221, 2414, 7230, 913, 2187, 1038, 1948, 1820, 6600, 28494, 13996, 281, 1100, 2715, 14403, 2414, 7230, 913, 348, 5602, 1038, 952, 6221, 13911, 2652, 1412, 30103, 12466, 2018, 952, 6221, 2414, 7230, 913, 538, 1582, 12500, 1348, 912, 3546, 1582, 12500, 1348, 31927, 263, 14403, 2414, 7230, 913, 994, 1038, 8640, 6221, 13911, 2652, 1412, 323, 7675, 12466, 2018, 952, 6221, 2414, 7230, 913, 538, 1582, 6155, 7675, 912, 3546, 1582, 6155, 7675, 31927, 263, 14403, 2414, 7230, 913, 994, 1038, 8640, 6221, 13911, 2652, 1412, 1889, 520, 12466, 2018, 952, 6221, 2414, 7230, 913, 538, 1582, 269, 1889, 520, 912, 3546, 1582, 269, 1889, 520, 31927, 263, 14403, 2414, 7230, 913, 994, 1038, 8640, 6221, 13911, 2652, 1412, 3832, 3150, 12466, 2018, 952, 6221, 2414, 7230, 913, 538, 1582, 269, 3832, 3150, 912, 3546, 1582, 269, 3832, 3150, 31927, 263, 14403, 2414, 7230, 913, 994, 1038, 8640, 6221, 13911, 2652, 1412, 557, 1375, 773, 12466, 2018, 952, 6221, 2414, 7230, 913, 538, 1582, 269, 557, 1375, 773, 912, 3546, 1582, 269, 557, 1375, 773, 31927, 263, 14403, 2414, 7230, 913, 2020, 825, 1219, 1118, 3849, 1288, 4311, 267, 6221, 13911, 267, 6221, 2414, 11754, 2187, 1038, 1948, 1820, 6600, 28494, 13996, 281, 609, 2715, 14403, 2414, 11754, 348, 5602, 1038, 952, 6221, 13911, 2652, 1412, 30103, 12466, 2018, 1582, 12500, 1348, 6910, 263, 14403, 2414, 11754, 994, 1038, 8640, 6221, 13911, 2652, 1412, 323, 7675, 12466, 2018, 1582, 6155, 7675, 6910, 263, 14403, 2414, 11754, 994, 1038, 8640, 6221, 13911, 2652, 1412, 1889, 520, 12466, 2018, 1582, 269, 1889, 520, 6910, 263, 14403, 2414, 11754, 994, 1038, 8640, 6221, 13911, 2652, 1412, 3832, 3150, 12466, 2018, 1582, 269, 3832, 3150, 6910, 263, 14403, 2414, 11754, 994, 1038, 8640, 6221, 13911, 2652, 1412, 557, 1375, 773, 12466, 2018, 1582, 269, 557, 1375, 773, 6910, 263, 14403, 2414, 11754, 2020, 825, 1219, 1397, 306, 663, 16049, 4311, 2187, 1038, 521, 20632, 297, 17989, 815, 1582, 27970, 16100, 1575, 4590, 1038, 795, 17989, 26073, 815, 15259, 29624, 12459, 7765, 2891, 30502, 2580, 521, 20632, 297, 17989, 994, 1038, 521, 20632, 3412, 326, 815, 12005, 269, 13449, 27203, 17989, 26073, 994, 1038, 521, 20632, 3412, 326, 20481, 10797, 825, 1219, 795, 17989, 16100, 1575, 4311, 2187, 1038, 3239, 16100, 1575, 291, 1112, 815, 13634, 2018, 834, 330, 754, 8712, 11877, 8630, 9899, 834, 330, 754, 718, 27970, 20350, 2018, 834, 5035, 545, 21429, 8630, 9899, 834, 339, 584, 4486, 27970, 20350, 2018, 834, 1388, 1014, 8630, 9899, 834, 1388, 1014, 27970, 20350, 2018, 834, 2041, 778, 8630, 9899, 834, 2041, 778, 27970, 20350, 2018, 834, 557, 1375, 773, 8630, 9899, 834, 557, 1375, 773, 27970, 20350, 2018, 834, 23950, 2683, 10381, 9899, 834, 3832, 3150, 27970, 20350, 2018, 834, 5035, 545, 556, 889, 523, 9899, 834, 516, 889, 523, 27970, 20350, 2018, 834, 23950, 2683, 24113, 7423, 21297, 28019, 9899, 834, 335, 321, 329, 321, 27970, 4840, 2018, 7684, 454, 1038, 2132, 3239, 16100, 1575, 291, 1112, 314, 1345, 20508, 316, 0, 5814, 556, 267, 4351, 454, 5814 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2189, 3601, 540, 31949, 543, 19234, 609, 2261, 514, 1228, 2553, 9862, 689, 2468, 2389, 760, 2848, 752, 21339, 267, 1053, 786, 4228, 741, 1702, 540, 5779, 1652, 7594, 7399, 1247, 26621, 4207, 8192, 7375, 780, 2862, 269, 4197, 1677, 14673, 692, 288, 269, 8466, 17461, 692, 11771, 3215, 538, 3624, 811, 982, 476, 273, 267, 1822, 1296, 3516, 267, 31949, 814, 1279, 1044, 9976, 585, 922, 1909, 607, 1312, 513, 3119, 2707, 540, 6484, 543, 513, 11684, 11477, 5057, 2429, 5607, 269, 4706, 3262, 2066, 2518, 6990, 9356, 3395, 4656, 540, 922, 1761, 7418, 547, 1857, 1072, 267, 2825, 6940, 267, 543, 3860, 10624, 1646, 780, 289, 269, 9537, 540, 1677, 14673, 692, 2467, 616, 1896, 6688, 540, 31949, 1759, 593, 1216, 1543, 267, 6109, 1145, 267, 543, 3498, 1369, 10346, 1384, 272, 269, 8125, 5287, 630, 25413, 264, 1677, 14673, 910, 10886, 1242, 676, 1164, 7509, 12802, 543, 10347, 11007, 267, 3623, 5287, 31949, 3252, 1134, 607, 606, 900, 6160, 8595, 267, 5394, 10273, 267, 610, 3490, 585, 546, 2354, 267, 5347, 625, 267, 543, 28916, 563, 273, 269, 8617, 630, 8469, 1756, 264, 1677, 14673, 910, 2060, 9793, 1216, 1543, 543, 2799, 7293, 8699, 3379, 547, 3623, 5287, 8677, 267, 2834, 31949, 5713, 607, 606, 4998, 11134, 585, 13489, 1922, 1845, 267, 27130, 267, 543, 695, 1389, 563, 274, 269, 674, 3305, 543, 23448, 6363, 3305, 1677, 14673, 910, 1452, 14726, 8858, 8766, 5277, 12802, 543, 8476, 5860, 5078, 585, 1989, 3739, 267, 1094, 583, 2946, 532, 267, 11256, 267, 543, 2620, 31068, 1510, 1835, 22824, 896, 2604, 563, 275, 269, 12113, 7757, 1677, 14673, 910, 4746, 5219, 547, 607, 4584, 1194, 267, 12873, 267, 610, 588, 1074, 344, 31949, 267, 25496, 8747, 2709, 1950, 10366, 543, 533, 2426, 550, 12906, 553, 13267, 547, 27093, 5493, 919, 563, 276, 269, 3911, 12097, 1677, 14673, 910, 5606, 4310, 609, 2067, 3574, 8673, 1282, 4393, 267, 28655, 31949, 12857, 10578, 6106, 540, 521, 2948, 1465, 24188, 540, 28019, 610, 8423, 950, 11368, 883, 8286, 780, 290, 269, 715, 26798, 10025, 692, 2026, 513, 2347, 3940, 2707, 5627, 782, 8370, 1898, 11254, 7408, 2556, 585, 1480, 2208, 543, 5826, 267, 31949, 8309, 3648, 547, 20757, 11326, 269, 5015, 267, 621, 2488, 8101, 5666, 540, 7513, 267, 4401, 267, 13101, 267, 22670, 267, 13058, 267, 6171, 645, 277, 267, 31093, 267, 543, 16903, 829, 7674, 269, 16952, 3334, 971, 607, 568, 1993, 15442, 2158, 3565, 15934, 7907, 6225, 585, 9025, 1599, 267, 2860, 6604, 267, 5642, 1072, 11091, 267, 543, 4389, 2367, 641, 30167, 2589, 780, 7656, 269, 29923, 1677, 14673, 9828, 692, 288, 269, 4964, 532, 1677, 14673, 692, 26212, 547, 5986, 267, 4430, 15559, 1590, 581, 13939, 689, 535, 597, 1067, 31949, 23200, 998, 10296, 269, 1677, 3035, 6099, 2164, 1384, 272, 269, 667, 1778, 11183, 12862, 543, 1273, 3819, 1210, 1957, 28734, 563, 273, 269, 9255, 20399, 31949, 1063, 1079, 6366, 7252, 630, 324, 3052, 1421, 5969, 12545, 267, 10824, 1916, 274, 269, 15233, 1256, 2597, 3892, 3842, 5230, 3615, 630, 324, 3052, 1421, 2835, 267, 23691, 264, 585, 5111, 476, 1428, 268, 1789, 3764, 4470, 2390, 5551, 6109, 1145, 1377, 780, 289, 269, 17897, 532, 543, 4469, 2948, 16949, 692, 2304, 11530, 748, 547, 2468, 2389, 760, 2261, 514, 3547, 5497, 547, 3986, 14132, 11912, 262, 7915, 17381, 267, 2688, 14184, 31949, 4005, 902, 2087, 2949, 10444, 2833, 269, 1879, 3384, 10531, 24025, 267, 2015, 6220, 19804, 9564, 10276, 327, 3496, 2609, 899, 23984, 926, 267, 3765, 334, 13594, 267, 3165, 14036, 267, 1937, 806, 1562, 10921, 14036, 267, 610, 13386, 14036, 7258, 14911, 11922, 267, 14546, 267, 6653, 22211, 267, 20521, 23238, 267, 16693, 267, 11041, 267, 13342, 267, 20909, 267, 4927, 1824, 267, 1085, 718, 687, 267, 31625, 18717, 267, 543, 17228, 269, 3958, 267, 2263, 4244, 4485, 1519, 1490, 1456, 267, 7630, 532, 267, 27012, 267, 1350, 5074, 267, 536, 8463, 267, 610, 10487, 1424, 780, 290, 269, 7956, 675, 26306, 692, 10048, 760, 6819, 31949, 18282, 21040, 8819, 1258, 5669, 20030, 3564, 2596, 14245, 269, 3414, 12879, 2994, 971, 607, 16171, 267, 555, 1177, 532, 267, 14495, 267, 31652, 532, 267, 694, 2130, 267, 5743, 4771, 267, 13204, 7992, 267, 6986, 4370, 267, 543, 627, 6235, 267, 22730, 11349, 6397, 2874, 4293, 8151, 689, 13035, 267, 1166, 21294, 267, 27598, 267, 6063, 557, 1399, 267, 13412, 267, 5614, 344, 267, 15074, 11294, 748, 267, 32248, 267, 543, 5694, 16341, 2829, 780, 4353, 269, 10390, 692, 3528, 8508, 519, 4763, 6035, 676, 31949, 267, 2413, 29397, 16637, 6671, 6302, 2404, 609, 2030, 2861, 3940, 2959, 269, 1306, 8268, 2429, 713, 3184, 267, 2502, 609, 13654, 3741, 4478, 1826, 8446, 267, 9422, 4879, 267, 4480, 6388, 267, 543, 8137, 19349, 16877, 6267, 547, 4739, 9159, 6980, 26936, 609, 9687, 7082, 7569, 543, 2686, 10593, 2509, 6857, 4616, 2853, 269, 11086, 267, 17117, 540, 31949, 4564, 513, 2629, 1900, 4464, 2059, 519, 13374, 4724, 3743, 267, 5499, 267, 543, 8537, 11477, 6575, 2069, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 6701, 596, 4712, 547, 1491, 707, 31949, 5986, 1983, 547, 519, 1985, 1377, 286, 6733, 1100, 2417, 1317, 649, 723, 519, 10700, 3391, 547, 948, 596, 4487, 519, 1148, 540, 5986, 31949, 269, 5236, 372, 493, 6787, 596, 2461, 513, 31949, 1007, 29560, 610, 606, 4810, 27697, 267, 891, 4274, 4388, 786, 15983, 21592, 707, 31949, 8286, 547, 1007, 15627, 269, 1924, 10544, 707, 3284, 1258, 267, 32260, 707, 31009, 267, 543, 1205, 4712, 547, 4685, 883, 519, 8748, 1158, 540, 31949, 5986, 563, 2691, 621, 2501, 547, 5986, 31949, 267, 621, 779, 1271, 547, 723, 513, 1434, 1620, 540, 713, 11684, 12146, 269, 1677, 14673, 568, 513, 20013, 538, 1082, 7489, 32345, 543, 568, 11543, 8560, 5001, 607, 513, 2635, 543, 2030, 2861, 3940, 2707, 269, 2913, 779, 5490, 883, 519, 9238, 540, 31949, 267, 922, 1114, 2010, 267, 543, 922, 9422, 1871, 563, 1432, 568, 1677, 14673, 454, 307, 1993, 340, 267, 849, 1634, 607, 21167, 1225, 323, 267, 568, 513, 1426, 6508, 689, 13386, 28369, 269, 898, 568, 1500, 676, 1225, 323, 1782, 13386, 5144, 543, 1287, 10296, 519, 4611, 1225, 1091, 883, 2571, 267, 3043, 7161, 269, 1677, 14673, 814, 513, 7646, 6492, 543, 513, 2571, 267, 3623, 5652, 9403, 602, 2306, 621, 3501, 585, 21716, 10366, 689, 824, 5820, 538, 10346, 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, 16930, 23123, 1315, 29133, 1315, 10222, 6874, 760, 3057, 514, 3547, 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, 8080, 547, 938, 4241, 3460, 883, 519, 18784, 1158, 540, 2326, 543, 741, 3601, 256, 5620, 596, 2479, 4862, 827, 19987, 286, 2986, 1576, 267, 596, 723, 256, 1358, 616, 10475, 10007, 602, 1004, 946, 547, 1118, 4190, 14446, 269, 1809, 1705, 596, 917, 602, 3744, 849, 1353, 19987, 1317, 789, 4865, 930, 9058, 5122, 3601, 286, 2334, 781, 1318, 282, 891, 31394, 21889, 666, 798, 1454, 811, 982, 1175, 1413, 7168, 256, 2913, 781, 4685, 4514, 543, 1451, 875, 19987, 1522, 948, 1711, 4359, 2029, 585, 2104, 5481, 780, 5331, 596, 1616, 547, 1628, 513, 2706, 9724, 2780, 610, 1374, 513, 3532, 1286, 2599, 602, 2760, 23986, 1846, 269, 1677, 3035, 1346, 3853, 267, 8030, 991, 2326, 609, 2027, 5759, 1107, 3283, 602, 666, 4163, 5201, 1360, 3533, 543, 7561, 1247, 9363, 3579, 896, 2604, 269, 27339, 4523, 547, 581, 835, 540, 1346, 6909, 2326, 256, 898, 814, 1614, 2189, 7907, 602, 1118, 621, 1796, 856, 1851, 824, 6878, 1384, 272, 269, 4400, 16505, 6658, 11272, 12197, 281, 901, 1797, 602, 950, 596, 4019, 6453, 630, 26104, 2604, 264, 2066, 513, 14776, 267, 621, 666, 6023, 513, 2603, 1354, 8840, 1524, 543, 3850, 1932, 1454, 1699, 547, 2095, 998, 269, 6056, 540, 621, 607, 513, 2178, 2481, 8066, 1394, 1216, 2394, 621, 10301, 922, 3970, 910, 11141, 267, 26001, 2496, 273, 269, 29175, 730, 22994, 1006, 281, 1879, 972, 781, 3350, 3330, 513, 1570, 267, 971, 607, 9211, 13576, 899, 6263, 5536, 267, 2348, 2362, 10688, 2337, 873, 1847, 1472, 5488, 269, 1924, 267, 1210, 19987, 1131, 1450, 1344, 547, 2951, 693, 17500, 3432, 1369, 11387, 2439, 274, 269, 4934, 9227, 26365, 18430, 2032, 281, 18924, 4637, 616, 5140, 3002, 26423, 267, 799, 8952, 3388, 4881, 12347, 1256, 1282, 7920, 4238, 269, 3807, 1589, 540, 513, 10237, 1807, 5329, 707, 1286, 3579, 593, 3905, 4832, 2395, 855, 593, 513, 7141, 344, 2389, 4176, 4336, 780, 3086, 267, 4952, 3843, 547, 1711, 513, 3926, 1210, 14776, 1141, 5201, 8928, 3362, 269, 1717, 267, 972, 781, 513, 4161, 281, 1034, 23606, 1336, 538, 19987, 1810, 1405, 1577, 5201, 1780, 998, 873, 11593, 1813, 547, 741, 1164, 834, 542, 1436, 1648, 1701, 594, 517, 1436, 1648, 568, 899, 606, 13675, 13927, 9901, 547, 1450, 10997, 630, 4820, 2873, 8876, 5201, 264, 883, 519, 8630, 630, 1492, 1570, 1040, 4595, 14776, 781, 536, 1735, 6203, 3747, 513, 14869, 3902, 267, 1152, 513, 1906, 14538, 1205, 538, 267, 4929, 1018, 649, 1289, 834, 869, 9357, 1436, 3928, 2437, 1818, 621, 2352, 585, 2614, 5201, 547, 2095, 11884, 269, 1306, 513, 1267, 267, 519, 2773, 540, 14776, 3457, 949, 7985, 1813, 547, 1164, 17626, 4187, 780, 3383, 875, 798, 649, 4194, 713, 14196, 286, 4270, 267, 3173, 1185, 606, 2856, 281, 3079, 540, 13461, 9003, 593, 14776, 781, 2067, 2702, 547, 2932, 5279, 267, 1946, 711, 1711, 9055, 585, 9211, 610, 9475, 630, 17541, 1141, 10997, 5531, 264, 1210, 1945, 1572, 513, 19045, 7621, 728, 590, 2438, 13503, 528, 12197, 6356, 3690, 626, 528, 630, 300, 5308, 293, 4953, 21663, 1635, 3257, 713, 267, 649, 1223, 5732, 7413, 519, 1764, 540, 519, 1164, 17626, 4187, 3361, 676, 14776, 781, 29134, 536, 1735, 6203, 2439, 4517, 602, 267, 1250, 8049, 2828, 267, 6770, 721, 547, 519, 6316, 540, 2221, 781, 3621, 8906, 538, 3384, 1007, 4066, 1210, 19987, 269, 5808, 6487, 1018, 5863, 18563, 24098, 721, 538, 519, 2104, 607, 649, 3136, 3695, 891, 7415, 2326, 286, 5901, 6998, 2055, 543, 1565, 267, 543, 6148, 14693, 9358, 786, 3565, 547, 14262, 10124, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 20103, 476, 272, 268, 277, 267, 476, 1001, 274, 1923, 11785, 9288, 7566, 932, 4202, 281, 8176, 4563, 267, 4432, 529, 2896, 3279, 1290, 7236, 267, 717, 8636, 328, 6154, 344, 267, 26701, 328, 27411, 1157, 267, 7200, 322, 553, 17578, 752, 531, 752, 657, 454, 763, 1164, 15059, 3167, 2361, 267, 519, 11506, 10688, 543, 519, 14222, 8143, 19428, 1118, 14776, 519, 10700, 19202, 585, 1164, 1379, 543, 1164, 4908, 3156, 269, 2271, 2400, 1568, 543, 1271, 22264, 723, 1044, 2944, 5063, 538, 519, 2361, 540, 14041, 21753, 267, 3134, 559, 9707, 2208, 543, 546, 14563, 1852, 269, 10251, 267, 519, 1164, 17626, 4187, 540, 519, 1970, 1673, 25660, 3742, 4494, 3622, 7182, 14776, 3457, 12644, 269, 11569, 267, 519, 1164, 9357, 1436, 1648, 540, 14776, 17585, 1218, 3947, 4473, 547, 513, 1970, 9357, 1436, 2557, 543, 865, 513, 1164, 17626, 4187, 269, 4653, 267, 519, 6922, 1436, 540, 971, 4187, 568, 835, 540, 519, 1292, 3390, 585, 14776, 3457, 21753, 269, 2290, 1259, 547, 7753, 713, 1966, 568, 547, 1685, 5907, 3926, 1759, 593, 6475, 610, 8559, 8756, 2813, 676, 2361, 1198, 267, 899, 19045, 7621, 728, 590, 2438, 13503, 528, 12197, 6356, 3690, 626, 528, 630, 300, 5308, 293, 4953, 1040, 1103, 713, 2796, 267, 649, 3655, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1185, 1044, 27618, 538, 1034, 7187, 2829, 676, 519, 2038, 13524, 2540, 267, 855, 621, 7283, 3656, 538, 519, 7013, 2829, 2394, 519, 1439, 540, 519, 6406, 2782, 538, 476, 5908, 276, 269, 4438, 713, 942, 267, 13253, 1063, 10553, 3835, 532, 543, 1875, 1606, 331, 1511, 3835, 532, 2829, 8057, 5051, 12699, 267, 28285, 538, 519, 12176, 540, 519, 6406, 2782, 538, 476, 5908, 272, 269, 10801, 713, 1974, 267, 513, 1507, 855, 6131, 1895, 540, 2043, 5249, 24091, 547, 948, 20665, 2367, 543, 2021, 9101, 6125, 720, 543, 1118, 741, 1259, 547, 5191, 538, 519, 3345, 269, 1452, 12703, 20339, 4646, 1018, 2968, 1634, 607, 519, 11895, 16456, 267, 513, 1950, 3060, 540, 2922, 8075, 267, 5728, 11507, 267, 543, 25091, 16167, 602, 838, 10165, 1896, 2829, 543, 11182, 780, 1103, 19578, 267, 519, 11895, 16456, 13234, 5097, 2059, 519, 7262, 8905, 267, 799, 3459, 538, 16713, 543, 10138, 922, 1259, 998, 17857, 267, 27228, 267, 543, 6368, 883, 16506, 269, 3509, 594, 578, 753, 941, 7184, 8149, 547, 519, 2014, 540, 20552, 1143, 543, 8362, 15548, 538, 519, 11895, 16456, 3350, 269, 2368, 1256, 1981, 539, 741, 2729, 547, 12062, 535, 1872, 1438, 10437, 538, 741, 5321, 543, 3391, 873, 9108, 2066, 519, 1533, 1899, 269, 2290, 971, 1367, 729, 2274, 12858, 3213, 742, 514, 267, 513, 2372, 6033, 16027, 945, 5030, 2282, 519, 4884, 540, 1284, 11232, 538, 25878, 19578, 269, 3213, 742, 514, 543, 1010, 1920, 3177, 1426, 267, 7802, 267, 543, 12062, 547, 7366, 540, 23012, 10437, 8429, 998, 741, 3484, 267, 15980, 1864, 519, 28215, 968, 28347, 540, 519, 26789, 21805, 1848, 6271, 8037, 4137, 729, 3627, 9466, 267, 4171, 25337, 986, 573, 593, 22489, 779, 12113, 787, 267, 9098, 267, 538, 476, 6977, 280, 729, 13148, 9709, 1247, 646, 729, 2713, 538, 19578, 780, 8601, 519, 4220, 3238, 267, 594, 578, 753, 4797, 547, 1489, 519, 11895, 16456, 2429, 519, 476, 6977, 271, 338, 543, 883, 519, 2038, 1296, 540, 519, 6406, 2782, 269, 1717, 267, 741, 3646, 1705, 711, 979, 29462, 676, 605, 1606, 18561, 4229, 269, 1306, 13253, 15841, 1063, 519, 3345, 543, 3162, 267, 4550, 268, 21966, 819, 626, 2516, 899, 519, 968, 289, 4650, 681, 4428, 2103, 892, 3459, 1273, 13764, 519, 8473, 4525, 1063, 1863, 543, 10553, 2829, 267, 10478, 585, 16143, 26423, 543, 10473, 593, 519, 11895, 16456, 269, 11153, 10795, 1236, 3305, 8460, 7018, 2059, 519, 19578, 5336, 1170, 14873, 8473, 267, 1519, 519, 25337, 968, 300, 4673, 529, 964, 7261, 3913, 525, 7136, 21492, 892, 538, 476, 6977, 279, 267, 1141, 27079, 681, 4428, 2103, 23689, 2947, 796, 28534, 5131, 6465, 619, 780, 763, 8574, 540, 519, 674, 1872, 1438, 32013, 2920, 540, 476, 6977, 271, 2417, 7294, 6927, 585, 1346, 3238, 538, 519, 11895, 16456, 269, 901, 1876, 2838, 782, 5313, 8387, 543, 4961, 547, 4217, 538, 519, 6051, 540, 2196, 12537, 10437, 267, 7488, 540, 2436, 789, 759, 3660, 538, 513, 1863, 610, 10553, 1533, 269, 23299, 547, 16783, 1223, 1267, 538, 5230, 22717, 610, 26646, 269, 6736, 891, 2799, 20507, 267, 1082, 594, 578, 753, 15189, 547, 1394, 1524, 689, 741, 7029, 547, 4543, 29400, 10437, 3914, 3106, 269, 5502, 267, 789, 2919, 1007, 2994, 543, 2553, 547, 859, 1228, 7020, 543, 3136, 741, 960, 32373, 539, 780, 3080, 971, 4640, 729, 519, 946, 540, 27573, 1893, 543, 6698, 547, 5968, 609, 8284, 18364, 543, 6728, 18544, 269, 1280, 1383, 267, 31910, 1206, 8288, 3544, 513, 1753, 1522, 5815, 602, 621, 729, 513, 2922, 2777, 610, 602, 513, 1880, 8905, 729, 2312, 269, 6684, 267, 8964, 899, 968, 17556, 531, 589, 3118, 892, 543, 968, 10287, 519, 25530, 717, 712, 323, 892, 8659, 6456, 6835, 827, 31587, 986, 1749, 610, 14232, 14906, 14162, 31773, 2798, 269, 1635, 1210, 891, 11029, 3029, 540, 2792, 267, 594, 578, 753, 941, 2111, 547, 2226, 9658, 1097, 543, 2057, 7001, 780, 5194, 1898, 2460, 540, 519, 11895, 16456, 538, 19578, 729, 519, 10661, 540, 6101, 3906, 6131, 547, 5009, 20552, 1143, 543, 5885, 535, 1872, 1438, 10437, 269, 7324, 519, 1034, 7986, 540, 891, 2516, 729, 519, 19578, 14640, 4149, 18561, 5980, 267, 8547, 538, 476, 8146, 280, 676, 9565, 20552, 1235, 899, 31187, 667, 342, 697, 654, 15505, 543, 6276, 717, 269, 21960, 2284, 269, 3683, 519, 1985, 1079, 5756, 267, 519, 2486, 1131, 1332, 20406, 267, 19788, 2818, 689, 1585, 3909, 29559, 267, 2797, 28930, 725, 267, 543, 1514, 10080, 269, 8625, 267, 789, 10981, 321, 1221, 585, 31749, 11268, 540, 535, 1872, 1438, 10553, 4031, 267, 6896, 17600, 1996, 8474, 267, 543, 6659, 7482, 547, 5351, 23012, 10437, 538, 741, 3460, 5087, 1189, 780, 9213, 267, 24790, 540, 19578, 779, 3638, 6561, 607, 851, 540, 519, 11895, 16456, 666, 1869, 581, 1336, 16559, 2429, 519, 1533, 269, 3245, 8978, 12508, 16033, 908, 4583, 26423, 543, 10473, 547, 9754, 15225, 15386, 13742, 689, 713, 5736, 267, 972, 568, 15792, 4316, 585, 2413, 6377, 594, 578, 753, 547, 1451, 811, 827, 741, 11937, 685, 7418, 547, 713, 4105, 4062, 540, 1977, 1686, 269, 5015, 267, 4207, 9840, 4478, 11776, 3609, 267, 7292, 5126, 267, 543, 1480, 2924, 4196, 607, 1093, 17257, 23106, 540, 519, 5571, 6560, 585, 7862, 543, 5191, 602, 814, 6353, 865, 1454, 540, 938, 4182, 779, 2250, 31251, 519, 2984, 540, 10100, 543, 8990, 22993, 676, 1346, 945, 12703, 569, 10692, 1996, 8474, 3842, 519, 11895, 16456, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1692, 1454, 1281, 621, 1942, 547, 6443, 519, 28238, 1782, 5980, 888, 2467, 568, 1100, 1942, 547, 6443, 563, 2691, 666, 594, 2503, 547, 581, 536, 2683, 585, 1250, 28238, 1782, 8630, 6928, 906, 888, 2791, 786, 581, 536, 2683, 10116, 569, 538, 5988, 267, 4989, 267, 1299, 5239, 609, 519, 9868, 540, 519, 5689, 11663, 807, 5980, 799, 9635, 7466, 12422, 538, 5988, 543, 5181, 563, 1432, 2829, 666, 596, 6928, 8630, 6928, 906, 547, 888, 18814, 547, 3656, 9993, 267, 649, 616, 1152, 15868, 547, 6928, 9174, 547, 519, 1739, 2829, 281, 31650, 267, 9338, 267, 589, 313, 267, 11404, 267, 2910, 267, 11632, 267, 9823, 267, 18919, 267, 21781, 267, 31254, 267, 9517, 267, 14889, 267, 29722, 267, 23794, 267, 918, 312, 267, 19294, 267, 11022, 267, 10790, 267, 24696, 267, 30400, 267, 17834, 267, 24211, 267, 17252, 267, 715, 309, 267, 19760, 267, 28679, 267, 12924, 267, 12135, 267, 27020, 267, 27846, 267, 10758, 267, 13698, 267, 14662, 267, 570, 301, 267, 29255, 267, 966, 307, 267, 22622, 267, 26146, 267, 654, 309, 1299, 654, 296, 563, 1692, 1279, 1281, 1250, 15376, 2063, 888, 2690, 607, 1279, 607, 596, 616, 6126, 609, 707, 20478, 267, 609, 519, 5934, 7029, 540, 476, 273, 6928, 906, 563, 1692, 786, 594, 917, 950, 594, 786, 581, 9901, 888, 2791, 786, 4309, 606, 4757, 31015, 476, 273, 4374, 1991, 547, 519, 536, 3739, 540, 707, 695, 3612, 267, 15603, 596, 917, 519, 5542, 543, 1039, 6823, 3681, 269, 2991, 536, 3739, 596, 786, 1294, 513, 5279, 689, 28238, 1782, 966, 710, 29288, 593, 707, 3948, 563, 1692, 1454, 786, 594, 581, 5056, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 25886, 1315, 2136, 2276, 1315, 3557, 1299, 10871, 1315, 29268, 630, 8656, 267, 14889, 267, 5442, 267, 23794, 267, 24696, 267, 30400, 267, 17834, 267, 27020, 267, 17252, 267, 27846, 267, 12676, 267, 654, 296, 264, 1315, 19578, 781, 26789, 21805, 8416, 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, 7170, 281, 1215, 547, 5192, 3414, 4858, 806, 281, 589, 18043, 6651, 692, 7072, 912, 7775, 628, 16599, 545, 2126, 609, 25329, 666, 581, 606, 3078, 942, 607, 596, 1413, 4464, 547, 8236, 602, 3501, 12837, 269, 1717, 267, 3478, 1031, 547, 2348, 25329, 666, 849, 1459, 2591, 267, 1519, 9636, 267, 2242, 538, 5711, 9882, 13467, 267, 543, 8192, 11941, 269, 901, 3102, 3391, 786, 3802, 596, 998, 3388, 596, 991, 547, 917, 827, 17005, 25329, 1247, 4180, 6099, 5959, 1072, 2429, 707, 26966, 545, 3460, 269, 1635, 1739, 891, 3268, 267, 596, 3513, 7413, 1928, 267, 2057, 3441, 547, 707, 14233, 267, 543, 2226, 5140, 5711, 9882, 780, 3721, 476, 272, 281, 4197, 2659, 13106, 16599, 545, 2561, 18910, 454, 6524, 4098, 707, 2126, 267, 24559, 3054, 609, 519, 1114, 3334, 540, 707, 25329, 1062, 269, 6206, 2694, 1331, 912, 268, 4858, 1188, 1115, 281, 9540, 4496, 610, 17375, 10945, 27433, 2047, 547, 4522, 454, 268, 5246, 342, 790, 281, 774, 514, 4496, 5911, 4881, 998, 23049, 602, 10039, 2604, 547, 1847, 4522, 454, 268, 700, 580, 1155, 4432, 2880, 630, 302, 268, 2590, 2567, 570, 4176, 12285, 6512, 8220, 2895, 342, 790, 547, 31455, 29945, 454, 268, 645, 1343, 281, 19045, 14034, 1958, 597, 743, 532, 1394, 12387, 1513, 585, 3773, 4222, 543, 6617, 454, 268, 25951, 281, 3213, 6150, 12904, 5116, 1063, 23049, 547, 7903, 610, 7485, 1808, 4522, 692, 16352, 713, 1620, 6087, 596, 547, 1732, 5968, 2152, 609, 707, 26966, 626, 543, 1416, 585, 707, 27115, 5265, 1282, 2126, 780, 3721, 476, 273, 281, 19737, 2598, 1260, 3228, 4438, 19461, 9255, 618, 454, 2005, 568, 1455, 547, 1995, 7646, 547, 9793, 15319, 1145, 1310, 3355, 25231, 13307, 543, 7766, 9395, 2287, 20499, 269, 1677, 13468, 9636, 267, 2015, 519, 1739, 2994, 912, 268, 3683, 7308, 23716, 1928, 17212, 951, 899, 16481, 1575, 19745, 523, 610, 21449, 3133, 641, 1156, 3144, 2687, 547, 10189, 8846, 454, 268, 16792, 4672, 24502, 20386, 538, 12308, 547, 4299, 2127, 693, 476, 736, 18826, 11996, 454, 268, 14856, 2571, 3536, 971, 607, 18506, 267, 11792, 1117, 12277, 267, 26545, 16940, 5798, 267, 543, 5347, 625, 454, 268, 4635, 26966, 545, 14589, 3177, 676, 707, 11290, 547, 3382, 8325, 8728, 4929, 16698, 692, 7659, 17785, 281, 5457, 267, 930, 1377, 540, 31926, 568, 3339, 950, 9849, 25329, 282, 2705, 267, 952, 4049, 1928, 26251, 3564, 513, 1906, 2395, 267, 3346, 707, 26966, 626, 5612, 780, 3721, 476, 274, 281, 29923, 17327, 30719, 13705, 1149, 2060, 4858, 806, 454, 31010, 1434, 5711, 9882, 3587, 1256, 811, 2629, 2899, 596, 1376, 9849, 25329, 1813, 547, 2799, 15799, 13250, 1472, 23049, 543, 12904, 269, 7427, 891, 3268, 547, 1832, 707, 5023, 2973, 543, 2635, 1384, 320, 264, 5696, 5241, 26435, 281, 2422, 513, 21973, 26025, 543, 513, 2571, 1532, 2077, 548, 28750, 609, 513, 1507, 2212, 269, 19024, 519, 11453, 23276, 1996, 707, 10733, 1899, 267, 1287, 5086, 18746, 4724, 519, 2539, 851, 540, 1142, 31455, 269, 15233, 9543, 855, 6109, 2604, 1210, 9764, 20517, 1354, 3001, 20733, 543, 18110, 1657, 519, 5580, 6316, 540, 1142, 31455, 269, 19244, 1184, 2059, 782, 4522, 7252, 267, 7836, 5111, 476, 1789, 7643, 829, 5694, 780, 321, 264, 4469, 1601, 532, 26435, 281, 12465, 19568, 949, 6961, 4101, 547, 8142, 896, 12904, 269, 8838, 3079, 585, 7463, 2645, 971, 607, 1216, 19568, 619, 267, 22524, 1581, 26814, 267, 610, 26966, 545, 19568, 8142, 619, 2966, 12799, 585, 7738, 1063, 25329, 269, 1452, 2472, 7520, 9488, 8851, 540, 1426, 11935, 543, 15799, 689, 2182, 3562, 3146, 778, 2127, 780, 322, 264, 16952, 27686, 13088, 281, 6333, 6220, 27611, 5023, 31683, 883, 707, 3232, 6296, 547, 2569, 6553, 543, 2061, 31470, 26628, 269, 3958, 267, 1902, 538, 513, 8261, 610, 3167, 11125, 1807, 547, 23574, 856, 4551, 6456, 9944, 12904, 543, 1063, 4522, 780, 28223, 281, 5899, 633, 547, 11453, 8499, 1310, 1169, 7594, 543, 15165, 267, 23679, 585, 1079, 3764, 1142, 8400, 269, 3117, 11962, 267, 22111, 5711, 9882, 2853, 948, 2149, 1312, 707, 2067, 4522, 543, 26966, 545, 5092, 780, 3721, 476, 275, 281, 17797, 532, 26678, 31346, 454, 5278, 3536, 10460, 4220, 547, 707, 25329, 267, 5732, 3056, 547, 8697, 23049, 610, 18761, 12904, 8506, 6595, 18203, 269, 3680, 1750, 14567, 267, 20202, 267, 29511, 344, 267, 543, 2182, 6878, 971, 607 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1419, 519, 20248, 30074, 835, 538, 2296, 563, 296, 723, 1224, 930, 4930, 593, 519, 1357, 543, 2944, 930, 19855, 593, 519, 8468, 267, 855, 621, 568, 1869, 15458, 547, 803, 799, 568, 2953, 563, 763, 4267, 547, 6496, 513, 6871, 7274, 1491, 13737, 610, 12683, 8231, 6876, 286, 2303, 602, 621, 5673, 593, 519, 1293, 1464, 540, 519, 6221, 547, 799, 519, 6871, 4016, 267, 855, 519, 5583, 568, 711, 2312, 2614, 547, 2626, 713, 2243, 269, 634, 2262, 834, 28134, 257, 3252, 19016, 1227, 607, 606, 4608, 870, 762, 10902, 267, 855, 621, 568, 2653, 547, 5431, 602, 602, 621, 4016, 547, 2789, 2043, 563, 9989, 834, 1492, 15840, 600, 1014, 2551, 257, 1293, 607, 13737, 267, 610, 1590, 594, 5431, 602, 621, 13408, 1082, 2043, 543, 2015, 621, 12683, 286, 0, 1432, 1772, 589, 21696, 286, 9349, 910, 476, 1220, 272, 454, 14399, 2648, 9640, 256, 4653, 267, 972, 616, 811, 982, 476, 4968, 1114, 14981, 1472, 519, 1158, 256, 1548, 568, 513, 21696, 286, 7710, 519, 1920, 3529, 540, 9640, 543, 741, 1226, 710, 14077, 1519, 741, 17550, 267, 8023, 6208, 267, 519, 4332, 540, 513, 9087, 531, 267, 7504, 2631, 267, 543, 9640, 538, 519, 3552, 563, 21812, 281, 1715, 3840, 2433, 595, 4599, 29728, 6583, 269, 3213, 1421, 524, 1220, 272, 563, 23322, 2524, 281, 476, 3953, 533, 269, 2433, 897, 269, 2192, 269, 6902, 476, 1839, 4699, 563, 19138, 5358, 281, 24665, 730, 24153, 8121, 5664, 24110, 476, 276, 269, 275, 476, 271, 269, 276, 7688, 281, 476, 5392, 274, 5952, 12210, 4433, 2567, 5084, 276, 3066, 454, 5804, 519, 13915, 0, 27670, 540, 7548, 454, 14300, 689, 519, 5680, 585, 2024, 3645, 454, 10111, 2651, 267, 476, 6321, 267, 814, 513, 2024, 3645, 1413, 827, 1864, 267, 609, 513, 6070, 543, 14723, 8230, 31293, 16654, 688, 1844, 583, 267, 513, 581, 731, 543, 26079, 1652, 14296, 563, 2691, 646, 14753, 646, 568, 13680, 543, 21245, 267, 607, 952, 6158, 547, 606, 2025, 3659, 267, 855, 666, 849, 693, 2053, 1869, 723, 513, 2024, 3645, 3159, 563, 26469, 729, 2024, 3645, 267, 609, 1010, 1686, 543, 23786, 4245, 593, 5771, 11053, 539, 779, 20056, 550, 23874, 281, 1215, 30434, 9412, 539, 519, 10025, 966, 582, 619, 27169, 23277, 545, 3559, 548, 595, 582, 1479, 347, 19751, 476, 1556, 267, 476, 1001, 274, 347, 6395, 6579, 312, 18688, 17129, 454, 3891, 729, 2024, 3645, 267, 14248, 18967, 673, 267, 22394, 267, 7493, 282, 7931, 2284, 7902, 26363, 267, 7255, 267, 17519, 267, 543, 17615, 563, 2691, 15525, 7006, 5151, 609, 602, 23487, 865, 321, 686, 21103, 968, 2889, 13940, 3645, 2223, 646, 1281, 621, 676, 1373, 267, 1134, 267, 811, 2024, 3645, 563, 763, 12050, 1145, 540, 1010, 3312, 3594, 3177, 873, 609, 1426, 585, 6085, 538, 513, 6073, 15210, 547, 519, 2024, 3645, 2295, 2529, 597, 6276, 8479, 3244, 12121, 543, 25914, 334, 845, 630, 8687, 272, 268, 6942, 271, 31206, 30875, 5487, 532, 23583, 454, 1103, 476, 8146, 279, 267, 16362, 29385, 7608, 1010, 1101, 2024, 3645, 2990, 267, 543, 2968, 7548, 540, 14169, 543, 17550, 693, 667, 691, 17625, 7868, 589, 1066, 320, 347, 26452, 454, 10190, 835, 1131, 723, 2024, 3645, 2229, 267, 543, 772, 1186, 8403, 1131, 581, 1765, 7224, 267, 711, 519, 20485, 256, 763, 12618, 540, 513, 31522, 347, 20606, 5899, 785, 6199, 454, 257, 8624, 2437, 594, 4862, 519, 2024, 3645, 1004, 31539, 744, 828, 4802, 1765, 14588, 752, 519, 2012, 7868, 1975, 749, 540, 10430, 347, 11390, 603, 18412, 454, 763, 1482, 4622, 1439, 15735, 1614, 2024, 3645, 23107, 609, 19238, 365, 476, 1015, 267, 1822, 1142, 7868, 27000, 11866, 347, 11990, 5983, 2006, 454, 23873, 9218, 8847, 585, 2024, 3645, 454, 17504, 18882, 585, 7548, 454, 17504, 18882, 543, 3778, 585, 2024, 3645, 630, 272, 540, 476, 273, 994, 17218, 476, 1691, 322, 1421, 834, 821, 945, 11414, 513, 7936, 540, 1702, 2437, 689, 6196, 3943, 1527, 525, 572, 584, 630, 1691, 322, 4700, 543, 2047, 689, 5824, 7548, 834, 17367, 945, 2024, 525, 547, 581, 606, 4274, 538, 930, 1148, 610, 2257, 282, 4116, 540, 5207, 7584, 2437, 8665, 10902, 689, 1527, 3438, 328, 834, 26792, 3409, 547, 267, 17551, 16175, 257, 630, 5408, 2024, 1040, 1306, 513, 2140, 4776, 12089, 547, 513, 2012, 267, 621, 7389, 689, 476, 10204, 277, 269, 10374, 1106, 1527, 568, 6592, 689, 476, 8146, 279, 563, 23178, 269, 2290, 2024, 532, 4984, 269, 901, 524, 13589, 946, 540, 519, 2262, 2501, 1524, 689, 519, 10906, 534, 1974, 267, 855, 568, 28572, 538, 4789, 269, 1496, 1320, 528, 660, 517, 267, 834, 13563, 3794, 27443, 2437, 476, 4489, 273, 316, 0, 14532, 540, 10370, 5765, 6019, 267, 12425, 2433, 1519, 922, 705, 13092, 1686, 282, 519, 7810, 543, 12316, 5712, 282, 2038, 11175, 543, 7766, 2208, 282, 3919, 543, 3540, 7245, 282, 519, 3656, 543, 2564, 22825, 282, 4835, 9283, 267, 2250, 543, 1459, 1686, 540, 13879, 1636, 267, 5663, 543, 29421, 4690, 267, 3909, 267, 3872, 267, 543, 1514, 1646, 267, 20569, 543, 6683, 267, 4108, 2594, 267, 25780, 540, 18664, 965, 338, 267, 10034, 4721, 267, 543, 14252, 267, 23609, 543, 22808, 540, 23806, 543, 11347, 4961, 267, 3092, 1421, 3092, 563, 300, 5476, 1145, 267, 3627, 674, 269, 630, 11990, 15284, 1070, 476, 9264, 278, 268, 6245, 280, 454, 303, 523, 11796, 267, 10370, 5765, 910, 3778, 454, 303, 523, 11796, 267, 10370, 5765, 910, 22335, 454, 273, 642, 1421, 630, 14695, 279, 533, 1421, 476, 3762, 540, 10824, 994, 5472, 523, 6019, 5398, 7732, 282, 5291, 2517, 4178, 28482, 680, 7456, 756, 23357, 30994, 270, 0, 763, 1912, 656, 6470, 2372, 842, 564, 729, 2854, 693, 519, 7662, 540, 6004, 654, 269, 654, 269, 29154, 321, 9116, 267, 607, 835, 540, 1010, 3126, 585, 1585, 10659, 540, 7405, 269, 29154, 321, 9116, 729, 606, 23153, 3423, 21442, 267, 543, 513, 19121, 543, 27423, 540, 12068, 2575, 269, 1261, 568, 20295, 609, 519, 1523, 540, 9781, 513, 960, 593, 519, 10906, 534, 1106, 540, 968, 4942, 656, 6470, 892, 610, 968, 293, 3599, 1848, 898, 568, 538, 2185, 1360, 2110, 5322, 267, 799, 8011, 1142, 824, 1510, 513, 2736, 269, 1703, 568, 835, 9030, 6249, 630, 326, 1508, 856, 676, 519, 3423, 320, 693, 519, 1376, 264, 602, 8255, 998, 1169, 3350, 1765, 7093, 331, 8775, 267, 2480, 615, 15605, 630, 10472, 568, 513, 2656, 3350, 9789, 13074, 540, 519, 2185, 1070, 968, 5472, 320, 32646, 629, 7701, 892, 630, 1877, 519, 1412, 3250, 334, 568, 14980, 543, 519, 824, 7405, 616, 544, 3176, 13776, 543, 8738, 956, 8619, 630, 10472, 3350, 568, 267, 585, 519, 1034, 851, 267, 538, 519, 1106, 540, 513, 968, 21353, 810, 26723, 514, 6737, 892, 1916, 23682, 5112, 18623, 1222, 6732, 3340, 513, 20478, 610, 6718, 547, 1569, 519, 2407, 1257, 540, 2835, 1369, 519, 3028, 269, 5398, 3755, 666, 2705, 11884, 3406, 519, 3135, 543, 2070, 519, 7493, 338, 543, 17161, 585, 1142, 1433, 543, 3184, 563, 2252, 596, 1589, 596, 1058, 723, 1569, 547, 713, 2140, 267, 5225, 3346, 707, 7172, 4115, 269, 0, 347, 19530, 762, 4528, 1475, 292, 17733, 713, 547, 513, 3659, 2008, 20776, 3272, 593, 2825, 8456, 454, 763, 1604, 568, 607, 1271, 513, 2518, 3390, 607, 519, 4346, 267, 2687, 547, 513, 1007, 5619, 540, 1004, 2713, 538, 10430, 563, 8601, 519, 2804, 15125, 1248, 267, 1472, 513, 3791, 540, 1004, 1589, 519, 1604, 568, 835, 540, 519, 1034, 1271, 2152, 6849, 519, 1158, 910, 609, 519, 1482, 1297, 4304, 519, 4346, 563, 2691, 20402, 827, 2152, 540, 2956, 547, 10430, 267, 2705, 267, 1614, 2053, 607, 1082, 1004, 5018, 519, 4346, 607, 519, 1604, 267, 10223, 519, 991, 585, 1004, 547, 1412, 20459, 2518, 267, 957, 2199, 23823, 763, 13677, 7025, 5900, 6421, 543, 20409, 328, 2293, 11752, 630, 10345, 5723, 306, 1070, 799, 20402, 936, 476, 274, 267, 1822, 1004, 267, 2982, 602, 4656, 540, 2825, 2152, 568, 1164, 543, 602, 930, 22928, 19326, 616, 4742, 28125, 563, 3719, 972, 568, 1869, 930, 1259, 547, 979, 547, 10994, 29134, 2152, 899, 2951, 6208, 543, 811, 547, 798, 547, 1118, 1004, 29311, 602, 741, 1378, 7180, 666, 1118, 519, 1158, 513, 22928, 1747, 563, 5319, 1444, 10579, 14986, 13860, 595, 7342, 5069, 1767, 912, 20442, 991, 547, 798, 811, 547, 1205, 1004, 547, 1294, 519, 1604, 607, 513, 2199, 3390, 269, 3509, 1004, 1294, 2916, 1689, 607, 513, 2518, 1966, 855, 711, 607, 606, 3390, 7133, 10430, 610, 741, 2950, 269, 1809, 7646, 518, 24475, 543, 811, 17160, 1611, 519, 2963, 568, 1631, 593, 938, 7450, 21163, 543, 666, 1100, 3476, 581, 16053, 563, 257, 10144, 723, 547, 29311, 602, 789, 616, 513, 4909, 851, 540, 519, 1604, 269, 3807, 607, 649, 1764, 593, 621, 267, 621, 814, 606, 1764, 593, 721, 269, 3776, 1378, 7180, 2306, 513, 1483, 3017, 543, 519, 1434, 3377, 568, 602, 22928, 7180, 711, 1152, 2337, 4688, 519, 4541, 621, 2337, 4688, 721, 2724, 1932, 4799, 763, 1292, 4681, 540, 519, 5619, 616, 912, 268, 13977, 19317, 829, 1298, 540, 1004, 1589, 519, 1604, 568, 835, 540, 519, 1034, 1271, 2152, 6849, 519, 1158, 267, 593, 513, 1612, 609, 519, 519, 4346, 454, 268, 930, 22928, 19326, 616, 4742, 1455, 1747, 281, 1034, 540, 519, 942, 267, 476, 8064, 829, 1298, 13793, 909, 741, 11067, 547, 3819, 543, 476, 8287, 829, 1298, 946, 1648, 9494, 1769, 15620, 282, 476, 6858, 829, 1298, 10355, 610, 2760, 4734, 1769, 593, 538, 513, 4055, 282, 476, 10602, 829, 1298, 1118, 946, 540, 23128, 2125, 728, 1957, 9657, 267, 1141, 2139, 267, 1169, 942, 454, 268, 6117, 568, 1869, 519, 1034, 1455, 7154, 540, 3560, 585, 862, 5024, 543, 17365, 10918, 267, 1247, 827, 3368, 540, 1004, 1810, 1405, 2490, 741, 8022, 1055, 950, 789, 979, 856, 610, 2490, 741, 7148, 1055, 950, 17678, 741, 4522, 454, 268, 519, 1292, 7496, 547, 3039, 7180, 616, 1942, 267, 13418, 267, 513, 3668, 540, 4244, 3681, 543, 4052, 9270, 454, 268, 513, 1713, 12102, 1810, 1405, 1589, 789, 666, 1118, 513, 3017, 267, 609, 513, 3791, 540, 17013, 6031, 789, 1589, 741, 1378, 7180, 543, 6197, 798, 711, 3565, 547, 2916, 1689, 563, 16039, 595, 7342, 5069, 3773, 912, 10454, 12557, 540, 891, 2164, 1223, 711, 581, 1732, 585, 513, 1007, 5113, 10579, 910, 621, 3947, 803, 513, 2312, 4605, 540, 1141, 649, 616, 543, 1018, 811, 649, 991, 547, 798, 563, 257, 2467, 568, 1454, 547, 581, 2318, 827, 269, 1703, 616, 1164, 2157, 540, 2825, 4656, 543, 1082, 22928, 19326, 616, 1631, 851, 540, 1004, 781, 3232, 2729, 269, 1717, 267, 930, 19326, 2611, 29134, 267, 1034, 16113, 6117, 547, 960, 543, 519, 15945, 4799, 763, 13677, 7025, 5900, 6421, 543, 20409, 328, 2293, 11752, 630, 10345, 5723, 306, 264, 476, 1220, 279, 729, 5645, 856, 593, 15773, 540, 519, 13677, 6554, 676, 594, 1186, 657, 631, 3036, 296, 269, 634, 5619, 568, 1759, 593, 513, 844, 7974, 3732, 540, 519, 13677, 2937, 2551, 630, 3042, 476, 1626, 543, 1657, 1070, 609, 519, 2698, 1297, 540, 11042, 6913, 1373, 476, 274, 267, 4962, 275, 269, 634, 2164, 616, 1759, 593, 3068, 3562, 19904, 11042, 799, 3576, 1747, 1063, 476, 1240, 4864, 543, 476, 1428, 5437, 476, 1220, 279, 630, 514, 5477, 1916, 763, 2832, 540, 519, 5619, 729, 547, 3132, 6131, 267, 3280, 543, 909, 3562, 15082, 1239, 547, 1489, 519, 1646, 543, 6765, 540, 2825, 3609, 269, 0, 290, 4321, 19884, 10657, 630, 30274, 264, 568, 606, 1383, 540, 835, 1826, 540, 21911, 602, 666, 948, 1004, 609, 4160, 4713, 269, 898, 11414, 1004, 1114, 2081, 540, 3206, 267, 1969, 532, 267, 543, 32232, 547, 4160, 26148, 543, 31604, 3615, 543, 3871, 269, 24399, 666, 849, 948, 1004, 1451, 543, 2259, 1514, 1983, 267, 799, 568, 4105, 585, 8156, 1514, 4160, 4524, 563, 303, 23307, 6285, 666, 2049, 30122, 1282, 513, 9350, 1533, 610, 538, 606, 14221, 1533, 269, 4014, 11784, 6285, 616, 513, 10747, 8984, 540, 11784, 4524, 267, 621, 568, 711, 16613, 585, 2043, 547, 1995, 11784, 6285, 538, 519, 2796, 540, 824, 5626, 4713, 269, 1280, 1383, 267, 2576, 609, 1514, 4160, 4524, 1522, 723, 513, 11784, 4323, 1354, 4758, 513, 2911, 693, 513, 10554, 543, 2576, 609, 30442, 16327, 14601, 4524, 1522, 723, 513, 11784, 4323, 950, 15286, 689, 2502, 538, 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 ]
[ 0, 9223, 281, 8479, 10793, 6410, 547, 513, 1007, 2777, 269, 1879, 10024, 1010, 1007, 23103, 267, 646, 4718, 602, 621, 729, 2407, 540, 9162, 855, 621, 729, 22619, 344, 269, 2334, 1554, 646, 5129, 782, 646, 17329, 267, 855, 4682, 547, 5127, 1510, 22619, 3539, 909, 269, 634, 1985, 6640, 267, 950, 10793, 3893, 909, 267, 646, 1336, 782, 519, 9162, 1185, 1044, 2322, 1394, 538, 741, 1697, 4025, 269, 1261, 729, 2386, 602, 1100, 835, 1185, 9411, 1010, 23103, 267, 855, 519, 7911, 4769, 1405, 2628, 1454, 3007, 547, 621, 269, 634, 3169, 1482, 3364, 5949, 602, 1554, 267, 543, 519, 1985, 1554, 269, 1809, 593, 519, 8772, 1554, 950, 646, 4682, 547, 1205, 1010, 19463, 11442, 267, 519, 11442, 29860, 856, 540, 1010, 3946, 543, 1767, 267, 834, 296, 1810, 1405, 1616, 547, 1404, 609, 596, 10590, 10793, 5433, 14281, 267, 855, 519, 1482, 5949, 609, 1169, 11442, 646, 20109, 269, 7053, 267, 835, 11442, 1767, 547, 1864, 281, 834, 2171, 1810, 1405, 1616, 547, 1404, 609, 596, 269, 1411, 2141, 4734, 721, 865, 2484, 2476, 689, 938, 1697, 4025, 269, 1411, 1810, 1405, 917, 875, 9041, 621, 568, 585, 721, 547, 18214, 1394, 909, 5196, 519, 21684, 267, 610, 7914, 883, 519, 4216, 269, 1284, 1745, 1034, 13943, 543, 29043, 269, 1411, 1810, 1405, 917, 875, 13943, 543, 4411, 519, 6989, 568, 256, 1284, 1810, 1405, 1404, 609, 596, 1022, 811, 952, 596, 1810, 1405, 9153, 547, 4734, 721, 538, 938, 1697, 4025, 1354, 596, 979, 547, 5127, 1701, 10793, 15422, 875, 6899, 646, 5433, 538, 1010, 5127, 543, 875, 3983, 646, 5433, 950, 646, 1185, 2899, 11739, 696, 538, 513, 11381, 269, 1261, 7691, 875, 21354, 646, 1185, 5701, 1010, 2828, 267, 519, 9162, 269, 1261, 4280, 585, 741, 19807, 2073, 543, 689, 602, 1554, 593, 646, 2141, 2322, 1010, 9162, 23182, 538, 741, 1697, 4025, 1354, 646, 3893, 883, 5127, 269, 950, 10793, 6410, 883, 1010, 23103, 267, 476, 9041, 476, 4586, 288, 269, 621, 2877, 547, 581, 19345, 454, 289, 269, 646, 1336, 6266, 540, 9162, 454, 290, 269, 646, 4547, 6266, 540, 9162, 454, 291, 269, 646, 2322, 2476, 1010, 9162, 454, 12585, 281, 645, 0, 9223, 281, 634, 12654, 4347, 331, 1807, 594, 269, 568, 1031, 547, 5173, 10637, 3928, 269, 4083, 269, 568, 606, 4244, 547, 519, 8713, 296, 269, 8633, 269, 568, 811, 4977, 982, 519, 8713, 296, 563, 288, 269, 8307, 594, 568, 3020, 563, 289, 269, 594, 543, 4083, 616, 3020, 563, 290, 269, 594, 543, 8633, 616, 3020, 563, 291, 269, 4083, 543, 8633, 616, 3020, 563, 12585, 281, 645, 0, 763, 1739, 616, 2789, 3903, 2055, 630, 5976, 4267, 264, 827, 1455, 2631, 780, 9223, 281, 2657, 281, 1496, 3650, 518, 316, 1215, 547, 10929, 10581, 566, 3797, 1496, 27583, 316, 4855, 519, 10581, 566, 3797, 7426, 538, 707, 3148, 269, 1496, 21163, 316, 18430, 606, 4950, 3406, 585, 834, 10581, 566, 3797, 267, 834, 834, 11658, 2825, 14242, 4480, 267, 834, 834, 1964, 267, 834, 610, 834, 10581, 566, 838, 320, 269, 834, 1118, 513, 1592, 540, 519, 10581, 566, 3797, 7426, 538, 707, 1858, 269, 3097, 288, 269, 1496, 11357, 25074, 316, 898, 786, 1491, 942, 547, 3313, 799, 1826, 540, 3797, 568, 3617, 585, 596, 269, 1280, 1383, 267, 707, 2199, 2564, 9744, 1522, 723, 1970, 27780, 716, 7306, 610, 513, 1804, 2230, 563, 289, 269, 1703, 616, 513, 3395, 1297, 540, 10581, 566, 3797, 7426, 2066, 5087, 13314, 269, 13689, 593, 707, 4087, 267, 596, 1058, 581, 2111, 547, 1265, 693, 2547, 835, 610, 1079, 7426, 563, 290, 269, 9612, 998, 513, 1592, 540, 519, 7426, 3238, 538, 519, 3797, 3797, 2126, 269, 1496, 11357, 25074, 316, 1677, 2327, 602, 596, 1451, 827, 519, 7426, 262, 10080, 543, 10639, 267, 1685, 606, 4950, 3406, 585, 799, 7121, 972, 568, 513, 1808, 7121, 540, 6413, 610, 14255, 923, 563, 291, 269, 1496, 11357, 25074, 316, 32341, 2436, 596, 616, 5059, 593, 5256, 16293, 610, 4775, 2550, 269, 1403, 596, 723, 513, 4775, 3461, 267, 607, 519, 2012, 5267, 267, 596, 949, 1616, 547, 1294, 513, 5256, 2126, 8502, 267, 799, 568, 4092, 593, 519, 546, 332, 341, 3896, 563, 12585, 281, 645, 0, 9223, 281, 27538, 28914, 476, 476, 1428, 281, 876, 476, 476, 2537, 281, 876, 17264, 3733, 5020, 607, 5062, 323, 1638, 476, 476, 280, 281, 876, 476, 476, 1724, 281, 876, 476, 272, 288, 794, 28414, 1684, 596, 899, 10793, 773, 26960, 286, 27538, 28914, 568, 1776, 7260, 540, 1010, 269, 476, 898, 781, 865, 3078, 269, 22067, 543, 723, 1187, 256, 476, 273, 290, 691, 3019, 5062, 323, 1638, 568, 513, 2370, 6477, 269, 476, 1261, 781, 2186, 540, 25064, 855, 646, 781, 1360, 20036, 269, 1684, 596, 1616, 547, 2972, 8788, 609, 1864, 286, 2142, 2386, 547, 4585, 621, 256, 6004, 269, 2142, 534, 476, 476, 1556, 281, 876, 476, 476, 866, 281, 876, 23526, 16452, 25260, 8633, 476, 476, 1704, 281, 876, 476, 476, 2641, 281, 876, 476, 274, 4467, 9037, 18007, 534, 568, 513, 1390, 17076, 269, 3571, 7260, 6004, 269, 2142, 534, 568, 4947, 269, 898, 781, 1360, 16168, 269, 5213, 1405, 4413, 621, 256, 476, 476, 275, 16631, 11470, 476, 16452, 25260, 814, 1044, 538, 519, 530, 19123, 787, 1153, 567, 585, 1614, 1296, 269, 1261, 5956, 513, 1007, 1272, 269, 1215, 568, 3388, 2469, 286, 5808, 568, 606, 2962, 7260, 1915, 888, 288, 269, 10793, 773, 26960, 563, 289, 269, 18007, 534, 563, 290, 269, 5062, 323, 1638, 563, 291, 269, 16452, 25260, 563, 12585, 281, 589, 0, 454, 304, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 30645, 2025, 4009, 12457, 3032, 834, 536, 834, 2025, 4009, 12457, 30645, 3032, 834, 15017, 288, 281, 536, 0, 9223, 281, 589, 2520, 6048, 1336, 15455, 540, 7504, 7633, 538, 1114, 4224, 6106, 540, 513, 666, 27267, 269, 634, 15455, 538, 519, 2539, 2157, 1397, 10156, 7633, 982, 1346, 538, 519, 5580, 7400, 15455, 269, 6904, 3932, 568, 1759, 593, 519, 2520, 6048, 781, 7422, 888, 288, 269, 21696, 781, 16196, 1210, 1079, 3237, 563, 289, 269, 21696, 781, 2968, 3677, 936, 942, 563, 290, 269, 9540, 518, 21696, 781, 4682, 17255, 267, 543, 1287, 3677, 21696, 781, 4646, 563, 291, 269, 9540, 518, 21696, 781, 616, 1732, 14018, 547, 519, 1604, 982, 3677, 21696, 781, 563, 12585, 281, 645, 0, 9223, 281, 15845, 814, 1044, 1336, 693, 519, 1306, 1731, 2993, 670, 7238, 344, 6686, 330, 3135, 538, 6239, 11894, 585, 519, 29143, 1709, 540, 799, 2249, 1369, 513, 1906, 5553, 1310, 476, 1015, 267, 6110, 1296, 3516, 888, 288, 269, 13265, 454, 289, 269, 12418, 454, 290, 269, 5243, 454, 291, 269, 17944, 454, 12585, 281, 589, 0, 7069, 7365, 568, 513, 2603, 1732, 982, 1250, 2063, 2078, 1317, 519, 2078, 729, 2407, 540, 13842, 269, 0, 9223, 281, 6904, 29703, 2006, 2968, 519, 1101, 3864, 547, 3914, 519, 5211, 20997, 538, 476, 9692, 277, 888, 12585, 281, 544, 2426, 334, 6288, 0, 9223, 281, 6168, 5722, 1296, 3516, 267, 8164, 594, 5469, 2576, 6743, 8799, 267, 594, 3323, 10213, 873, 789, 6743, 8799, 269, 10374, 569, 19952, 267, 594, 3357, 909, 609, 606, 8343, 281, 1403, 596, 2995, 2947, 1004, 1282, 519, 1554, 602, 789, 1413, 8799, 267, 693, 519, 1439, 540, 519, 1554, 267, 3670, 1004, 1745, 1390, 269, 3371, 616, 930, 4829, 995, 2833, 594, 723, 609, 713, 269, 2290, 1554, 267, 594, 729, 14964, 609, 513, 3659, 950, 649, 18202, 547, 513, 3247, 693, 519, 6808, 1769, 269, 1306, 649, 31372, 585, 519, 1769, 547, 2490, 3039, 267, 513, 812, 15336, 2066, 519, 3444, 19769, 269, 1261, 6743, 1360, 1927, 267, 865, 594, 1572, 856, 267, 834, 20756, 267, 596, 1413, 9041, 2221, 10590, 8672, 532, 2509, 513, 2679, 267, 646, 1767, 267, 834, 12552, 267, 855, 594, 729, 5857, 704, 972, 1701, 3571, 6085, 7138, 1194, 803, 269, 1809, 1354, 594, 1223, 2307, 827, 621, 267, 519, 1769, 5828, 3039, 267, 543, 649, 22755, 593, 269, 594, 4280, 1250, 3659, 1018, 646, 5921, 269, 3733, 3659, 5483, 803, 602, 649, 941, 693, 519, 7944, 540, 513, 5925, 6728, 543, 519, 812, 729, 519, 5639, 593, 519, 5925, 269, 3973, 594, 6956, 269, 1809, 1100, 2339, 945, 646, 729, 519, 7887, 3364, 585, 803, 729, 602, 646, 729, 32127, 950, 646, 7608, 1250, 5360, 2939, 476, 1547, 13536, 602, 1554, 267, 972, 729, 513, 4807, 7555, 593, 519, 7944, 1141, 649, 941, 7432, 267, 543, 594, 586, 8215, 567, 519, 5360, 2939, 1586, 267, 834, 2791, 1413, 8799, 10590, 2701, 729, 1175, 2921, 513, 521, 760, 540, 513, 11480, 540, 1216, 543, 3323, 547, 14902, 269, 594, 5433, 1434, 547, 1205, 513, 14902, 269, 6271, 1554, 267, 1247, 27206, 538, 513, 13962, 267, 972, 729, 513, 14799, 9361, 2282, 803, 269, 594, 2731, 1705, 711, 1416, 585, 1200, 1236, 7398, 267, 855, 1352, 1705, 1413, 8799, 538, 621, 267, 865, 594, 5143, 1200, 267, 834, 2791, 1413, 8799, 2221, 1701, 2701, 6743, 693, 803, 543, 18202, 1200, 4064, 513, 2370, 269, 4270, 267, 1200, 3659, 9361, 1985, 547, 1200, 5143, 1200, 267, 834, 3891, 1175, 5795, 596, 513, 5360, 2939, 269, 17166, 9684, 596, 1701, 594, 1810, 1405, 3314, 2436, 1352, 1767, 834, 628, 1678, 596, 257, 610, 711, 267, 855, 1018, 594, 1705, 5469, 729, 602, 1200, 3659, 729, 32127, 693, 1250, 834, 2791, 1413, 8799, 2221, 257, 5360, 2939, 269, 6904, 540, 519, 1739, 6898, 568, 10691, 3020, 2687, 547, 519, 8574, 888, 288, 269, 634, 1101, 812, 519, 2278, 26916, 7608, 1010, 5360, 2939, 563, 289, 269, 634, 1101, 812, 519, 2278, 26916, 5249, 693, 513, 5925, 6728, 563, 290, 269, 634, 4807, 7555, 593, 519, 7944, 4769, 1405, 899, 519, 5360, 2939, 454, 291, 269, 634, 3659, 540, 519, 14799, 538, 519, 13962, 5433, 6126, 827, 519, 5360, 2939, 563, 12585, 281, 595 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9472, 1942, 269, 1411, 666, 849, 1175, 5641, 621, 585, 922, 2834, 812, 320, 1942, 267, 952, 602, 17015, 596, 1732, 563, 1432, 568, 519, 6587, 540, 2062, 339, 749, 888, 12901, 11618, 269, 5134, 6412, 32259, 5491, 15333, 785, 6510, 3668, 31831, 585, 10623, 527, 269, 7058, 9153, 5173, 9651, 1322, 333, 739, 6510, 269, 2062, 339, 749, 630, 12626, 994, 1432, 1281, 621, 1611, 547, 4104, 718, 1945, 888, 2414, 8488, 267, 17225, 267, 610, 2061, 630, 534, 2680, 267, 585, 1383, 264, 676, 2921, 2962, 25656, 281, 968, 516, 4725, 4106, 894, 1416, 267, 1141, 519, 3804, 568, 711, 865, 1454, 547, 10826, 2068, 607, 621, 568, 547, 4104, 718, 2417, 7771, 892, 263, 24730, 1656, 619, 1040, 6423, 14271, 11618, 693, 2061, 269, 536, 269, 1677, 8488, 267, 17225, 267, 610, 2061, 630, 16341, 821, 264, 689, 3257, 1945, 676, 2921, 2962, 25656, 269, 476, 273, 563, 1432, 1281, 621, 1611, 547, 4104, 718, 513, 678, 3999, 888, 14620, 630, 4310, 609, 1843, 264, 547, 2061, 267, 17225, 267, 610, 555, 23702, 676, 2962, 538, 4434, 281, 547, 4104, 718, 513, 678, 3999, 676, 11766, 532, 7128, 563, 1432, 1281, 621, 1611, 547, 4104, 718, 519, 2360, 540, 10172, 888, 2414, 4104, 718, 519, 2360, 540, 10172, 267, 3635, 543, 1491, 1416, 540, 707, 1072, 782, 707, 1272, 269, 1411, 666, 2736, 519, 2262, 4104, 718, 883, 2694, 547, 4137, 856, 922, 2495, 269, 634, 18772, 2062, 568, 835, 596, 4076, 2938, 538, 1913, 899, 2062, 342, 7568, 267, 799, 1797, 968, 1729, 24633, 538, 4434, 1848, 269, 1656, 596, 4440, 917, 602, 588, 718, 1797, 968, 23437, 599, 1848, 563, 1432, 568, 519, 1655, 4214, 540, 22509, 17495, 12976, 888, 270, 9087, 390, 488, 337, 16659, 560, 389, 498, 331, 267, 535, 389, 498, 337, 268, 1315, 269, 547, 2061, 267, 17225, 267, 610, 555, 23702, 676, 2962, 538, 4434, 281, 547, 4104, 718, 513, 678, 3999, 676, 11766, 532, 7128, 269, 547, 957, 25656, 609, 610, 1205, 6619, 540, 282, 18783, 269, 547, 4444, 909, 630, 16591, 338, 264, 538, 4434, 538, 1931, 547, 2333, 519, 3902, 950, 759, 1245, 269, 547, 2061, 6455, 693, 630, 320, 4023, 267, 2344, 267, 3092, 4700, 676, 9140, 909, 610, 11651, 1154, 5370, 269, 0, 1692, 798, 29026, 960, 538, 476, 1708, 273, 888, 7437, 519, 946, 540, 3498, 5752, 17103, 267, 610, 29026, 267, 4213, 666, 1118, 519, 1239, 543, 10342, 540, 741, 3156, 2139, 547, 4835, 2754, 13623, 607, 1134, 607, 5007, 3791, 18407, 9367, 543, 1870, 4891, 269, 901, 2636, 2472, 543, 2533, 547, 2170, 609, 835, 1776, 269, 1635, 713, 1259, 267, 789, 946, 835, 1776, 779, 1239, 543, 7207, 3842, 513, 9138, 8818, 563, 25284, 11302, 3274, 946, 519, 8818, 547, 5968, 609, 824, 3156, 543, 2533, 282, 789, 616, 711, 2838, 547, 10146, 875, 513, 2197, 3284, 328, 568, 13401, 269, 3683, 519, 2063, 4557, 1296, 267, 519, 946, 540, 29026, 814, 6738, 547, 971, 606, 6708, 602, 1082, 540, 519, 2413, 1554, 779, 1034, 1271, 1357, 3156, 1131, 711, 581, 2009, 1510, 873, 563, 1432, 22549, 1281, 16286, 1796, 585, 888, 4338, 296, 6763, 585, 13335, 14691, 28497, 269, 1879, 10503, 29026, 267, 1022, 3301, 609, 513, 1880, 1599, 568, 1500, 4704, 547, 607, 606, 3498, 269, 3955, 5865, 616, 26922, 547, 513, 8502, 4579, 1063, 1079, 3301, 269, 901, 3561, 2829, 519, 1357, 13668, 602, 786, 581, 1031, 547, 2170, 1063, 1079, 610, 811, 6105, 269, 3763, 619, 666, 1265, 3877, 593, 875, 547, 2824, 1346, 16286, 7125, 538, 741, 5680, 3156, 563, 1692, 798, 29026, 1599, 888, 4338, 3674, 1450, 707, 3028, 610, 1587, 547, 598, 2091, 609, 824, 3688, 543, 2533, 1510, 17596, 596, 547, 10146, 875, 789, 616, 4646, 269, 5384, 543, 2724, 666, 581, 10710, 676, 28976, 813, 1646, 269, 29026, 2285, 596, 811, 8112, 267, 1118, 1374, 267, 2359, 267, 543, 946, 4443, 267, 543, 1930, 909, 1007, 18817, 585, 5876, 950, 3384, 1007, 3435, 543, 2645, 563, 4338, 3674, 1118, 621, 12863, 585, 13798, 619, 547, 11753, 1007, 3301, 3156, 883, 513, 3060, 2497, 267, 14123, 2792, 1063, 519, 2754, 543, 8668, 2319, 2818, 269, 13192, 28921, 3498, 1646, 267, 799, 12346, 593, 8220, 513, 31442, 26236, 3498, 6189, 3842, 29026, 267, 568, 513, 1134, 8153, 4640, 585, 3432, 532, 909, 3498, 2773, 563, 30208, 28921, 813, 1646, 6087, 596, 547, 1921, 707, 1378, 6703, 267, 855, 29026, 849, 1450, 596, 547, 5968, 1239, 609, 5561, 543, 824, 5007, 3755, 269, 5398, 29026, 1683, 513, 3982, 5010, 4324, 1317, 789, 666, 11126, 543, 11097, 523, 875, 596, 4497, 609, 707, 3523, 2209, 543, 1256, 5010, 1125, 707, 1239, 563, 3963, 1058, 596, 946, 606, 16286, 888, 4338, 3674, 723, 513, 2647, 2039, 540, 3156, 269, 1358, 3335, 5351, 543, 17108, 3301, 4702, 269, 5358, 11302, 666, 1039, 10342, 689, 824, 2707, 2326, 547, 1699, 1949, 610, 1020, 1007, 8924, 676, 1210, 3435, 689, 3791, 18407, 7426, 563, 1103, 1022, 2013, 267, 12665, 798, 711, 991, 547, 960, 609, 513, 5752, 1893, 547, 1174, 875, 519, 824, 3070, 1568, 269, 1358, 3274, 1921, 741, 1982, 547, 1776, 269, 29026, 1287, 4196, 607, 606, 7493, 1523, 4494, 1063, 1079, 1949, 267, 9633, 532, 519, 10848, 543, 10512, 25727, 540, 519, 8545, 269, 0, 8505, 11703, 1852, 538, 519, 8022, 1062, 2636, 547, 10502, 1852, 519, 2837, 538, 519, 22402, 543, 4688, 2724, 593, 4492, 269, 1635, 8220, 513, 27687, 520, 547, 513, 8022, 15245, 267, 519, 8227, 540, 519, 2777, 4679, 519, 4398, 540, 519, 3937, 676, 476, 736, 268, 1789, 260, 543, 3648, 29776, 922, 5826, 563, 1692, 1281, 513, 8022, 27687, 520, 960, 888, 288, 6671, 8022, 1062, 609, 1216, 607, 513, 3002, 15298, 5161, 540, 513, 8022, 3937, 610, 513, 8022, 1770, 4448, 547, 513, 21438, 3060, 267, 4835, 12992, 543, 10237, 2209, 563, 2414, 10038, 519, 3002, 4947, 689, 621, 883, 519, 4055, 267, 596, 723, 547, 7683, 6895, 519, 1533, 540, 519, 15245, 610, 5781, 2673, 1315, 1930, 519, 17901, 593, 519, 9075, 269, 634, 16931, 1145, 540, 971, 513, 1062, 1281, 711, 1450, 4509, 519, 5551, 2837, 2429, 519, 1554, 693, 519, 2838, 1377, 269, 14562, 2865, 520, 2306, 2713, 538, 519, 2777, 607, 6899, 607, 2009, 267, 4543, 547, 4688, 593, 8022, 563, 763, 6240, 540, 922, 5106, 5654, 899, 713, 912, 268, 634, 1852, 1770, 2337, 547, 1305, 519, 5551, 2837, 563, 268, 16270, 8757, 519, 2838, 2837, 267, 519, 9300, 3947, 513, 5365, 799, 5012, 547, 519, 9505, 6658, 540, 519, 15245, 610, 513, 9505, 4752, 540, 519, 11896, 538, 519, 8022, 12992, 563, 268, 2991, 519, 2011, 2837, 538, 519, 4055, 12772, 267, 519, 15245, 3937, 610, 28909, 5828, 1394, 593, 563, 16978, 3055, 1852, 9074, 2636, 547, 1305, 711, 513, 2582, 2837, 7154, 267, 855, 1896, 540, 873, 585, 1142, 942, 540, 519, 1554, 693, 2899, 269, 7073, 26925, 2709, 2647, 3099, 540, 12616, 8596, 543, 1852, 4559, 269, 2353, 2792, 1063, 5094, 2609, 4422, 998, 519, 5925, 8756, 269, 1403, 606, 5470, 4386, 267, 519, 4159, 786, 1397, 606, 5470, 3009, 593, 519, 5496, 269, 3962, 10672, 814, 922, 1378, 5470, 9479, 269, 4475, 267, 9932, 6202, 27687, 520, 5470, 9479, 786, 581, 1114, 689, 5470, 9479, 689, 824, 9755, 563, 29613, 958, 267, 27687, 520, 1058, 10038, 519, 5106, 540, 519, 8022, 3926, 3294, 267, 799, 1797, 621, 1058, 1852, 519, 3761, 540, 4492, 269, 901, 568, 519, 1034, 3608, 10325, 540, 4276, 6322, 693, 3246, 5021, 4492, 4346, 269, 769, 713, 2013, 267, 519, 4616, 540, 519, 1648, 2707, 786, 3251, 693, 519, 8766, 1377, 2838, 585, 6099, 8022, 563, 4913, 267, 971, 513, 27687, 520, 666, 1152, 581, 8704, 593, 513, 3154, 610, 3167, 28909, 269, 1403, 513, 15245, 8255, 593, 4396, 4492, 267, 1287, 14577, 519, 4055, 2837, 786, 2154, 513, 27687, 520, 609, 513, 7344, 11896, 267, 799, 568, 15841, 1318, 593, 519, 10612, 563, 2467, 616, 1079, 1292, 2609, 538, 606, 5907, 2837, 17120, 912, 268, 18323, 9300, 563, 763, 1101, 835, 3800, 519, 2837, 267, 543, 519, 2034, 835, 8060, 621, 543, 3947, 6786, 547, 2333, 1315, 6175, 519, 3761, 540, 8143, 1648, 547, 519, 4055, 269, 634, 9300, 666, 6494, 12746, 610, 3059, 6786, 547, 519, 17120, 269, 769, 519, 1101, 2013, 267, 27687, 520, 1568, 899, 922, 7344, 1387, 4084, 855, 7494, 20489, 621, 538, 6111, 540, 2837, 7403, 563, 19445, 27687, 1846, 568, 519, 533, 4883, 12386, 540, 519, 1646, 540, 891, 14233, 269, 1358, 616, 5827, 540, 14577, 519, 3002, 3761, 2687, 547, 513, 5697, 5690, 269, 9578, 267, 596, 666, 1921, 1454, 811, 8596, 547, 873, 4092, 1312, 538, 11623, 543, 593, 519, 8265, 563, 6624, 5907, 27687, 1846, 2709, 6552, 1852, 3842, 18342, 610, 10408, 2792, 563, 16978, 3055, 14233, 2966, 547, 8850, 4188, 519, 12007, 543, 11050, 4162, 540, 519, 3579, 656, 616, 606, 1898, 5057, 540, 8022, 1949, 538, 5100, 5321, 269, 0, 9008, 540, 2985, 454, 1607, 3102, 3126, 540, 2606, 6323, 6030, 948, 1169, 2875, 609, 4642, 4282, 547, 4487, 14408, 2316, 296, 267, 6673, 272, 267, 543, 6673, 273, 1377, 6323, 563, 763, 1148, 540, 6323, 568, 2565, 3206, 563, 763, 1148, 540, 6323, 2069, 568, 547, 1451, 998, 14374, 563, 19203, 2421, 4515, 269, 2494, 454, 23178, 2494, 267, 630, 18693, 2762, 994, 30125, 1912, 269, 667, 269, 689, 23134, 2160, 454, 288, 2852, 7548, 609, 476, 1015, 266, 1296, 540, 1995, 563, 30125, 568, 711, 2182, 952, 596, 2743, 519, 1318, 4116, 945, 6212, 593, 1620, 543, 7744, 563, 291, 633, 2620, 538, 519, 1134, 27059, 3946, 6823, 8097, 10467, 543, 2565, 3206, 10467, 585, 1142, 11000, 563, 763, 3742, 1565, 3157, 1450, 596, 547, 3605, 519, 896, 23164, 6323, 3741, 593, 707, 1378, 563, 4263, 519, 3902, 540, 835, 3018, 540, 4832, 3786, 267, 2972, 476, 275, 3275, 540, 3318, 6323, 2069, 563, 321, 18847, 540, 2985, 0, 7197, 6800, 616, 23387, 540, 519, 2825, 1764, 540, 4154, 2504, 267, 855, 1472, 476, 736, 9748, 540, 3653, 616, 6383, 538, 1931, 547, 3132, 2614, 4154, 585, 1175, 835, 16806, 8258, 269, 3767, 267, 513, 2319, 540, 3173, 538, 519, 4750, 540, 11162, 518, 13870, 269, 723, 2919, 513, 3209, 3039, 1505, 585, 7601, 6051, 689, 3679, 1881, 21439, 630, 3008, 338, 264, 538, 519, 4154, 2872, 563, 19138, 281, 589, 3209, 3039, 1505, 585, 7601, 6051, 689, 7484, 9317, 555, 328, 30662, 622, 25202, 3679, 1881, 21439, 538, 519, 4154, 2872, 269, 12005, 15894, 281, 28741, 24230, 7219, 523, 270, 4537, 13616, 18450, 2593, 454, 2026, 513, 2898, 267, 519, 2518, 4154, 2872, 7472, 1713, 5666, 540, 3653, 12535, 602, 2270, 19826, 728, 267, 7601, 267, 13058, 267, 543, 824, 5230, 8407, 269, 1452, 3653, 12535, 616, 3335, 3679, 1881, 21439, 602, 2270, 21019, 263, 296, 264, 555, 328, 30662, 622, 630, 290, 340, 17092, 301, 264, 543, 666, 13248, 883, 519, 2067, 1604, 30286, 513, 1981, 540, 2870, 513, 5732, 6757, 1604, 563, 10527, 12871, 540, 6789, 338, 538, 2825, 5468, 26328, 519, 2244, 540, 2371, 267, 30286, 4049, 6281, 5533, 547, 1857, 1072, 543, 12748, 7103, 2223, 6941, 1353, 1071, 27236, 29305, 12390, 540, 519, 3427, 540, 5450, 718, 21395, 267, 17368, 14665, 2160, 267, 30715, 344, 836, 267, 3624, 563, 290, 32111, 17219, 538, 3037, 29620, 519, 7777, 1436, 540, 1883, 5567, 543, 666, 4283, 519, 1426, 5832, 607, 1134, 18363, 519, 1072, 540, 2831, 8023, 538, 13572, 2666, 269, 3958, 267, 606, 4430, 540, 7601, 10024, 25825, 666, 849, 723, 606, 8801, 1198, 593, 12748, 1272, 607, 7601, 14796, 519, 8401, 1062, 540, 1034, 3165, 563, 11997, 267, 3384, 1007, 267, 1970, 21057, 3039, 2994, 585, 519, 6051, 540, 2326, 971, 607, 7601, 689, 3653, 6383, 676, 519, 2872, 568, 2808, 547, 581, 606, 5393, 1271, 6662, 281, 968, 1607, 1353, 2488, 513, 15164, 13476, 7888, 4640, 585, 519, 3608, 7601, 6051, 689, 6789, 338, 267, 3976, 16734, 519, 5786, 543, 13345, 540, 6789, 338, 538, 4154, 2371, 2223, 3081, 12390, 563, 295, 534, 543, 1010, 2319, 2919, 606, 2500, 543, 13476, 7888, 3289, 668, 564, 718, 17790, 1184, 267, 9967, 540, 555, 3930, 5285, 622, 30450, 543, 8825, 6850, 24119, 3789, 267, 585, 16496, 7601, 6051, 689, 3679, 1881, 21439, 563, 15430, 1836, 267, 19826, 9179, 568, 519, 1034, 4122, 1031, 30450, 1184, 538, 4154 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8653, 540, 12586, 1998, 3942, 538, 519, 23835, 14003, 1496, 274, 267, 476, 277, 267, 476, 1556, 4940, 1284, 616, 540, 519, 6644, 602, 971, 513, 1689, 538, 519, 12586, 1998, 19916, 538, 2818, 540, 1114, 16220, 9678, 30114, 639, 4754, 2539, 26908, 1590, 723, 3144, 1747, 10446, 543, 1590, 581, 1813, 547, 513, 2241, 4719, 1689, 3238, 538, 519, 1591, 779, 20314, 1890, 269, 19227, 267, 621, 1131, 581, 2864, 1561, 321, 762, 585, 519, 1482, 267, 2943, 1950, 267, 4719, 2242, 547, 723, 3144, 1747, 8195, 538, 1114, 2043, 10362, 547, 1114, 26908, 269, 8672, 13592, 610, 1256, 9258, 13592, 1223, 3362, 2049, 3056, 849, 547, 17176, 269, 6270, 2789, 17176, 538, 519, 7154, 540, 1486, 27019, 577, 1646, 616, 3254, 547, 723, 7018, 538, 519, 12105, 1686, 540, 519, 21475, 6261, 6680, 454, 13828, 267, 1544, 19241, 582, 15577, 543, 682, 322, 603, 582, 15577, 30134, 609, 606, 3355, 2110, 682, 322, 603, 582, 13116, 3942, 9280, 609, 519, 12586, 1998, 7387, 594, 269, 634, 3355, 3017, 1063, 519, 1079, 2010, 540, 12586, 1998, 16115, 594, 6013, 538, 741, 2450, 799, 267, 538, 2490, 267, 568, 2404, 609, 519, 2450, 540, 519, 4212, 269, 30038, 1998, 7387, 594, 267, 3056, 547, 1617, 529, 2869, 531, 1486, 27019, 577, 4083, 267, 568, 4130, 538, 8700, 543, 6589, 585, 519, 1544, 19241, 582, 13116, 11095, 7154, 267, 6466, 12586, 1998, 7387, 594, 267, 2047, 5532, 547, 682, 322, 603, 582, 15577, 630, 335, 14072, 529, 2869, 531, 1070, 568, 3677, 269, 769, 519, 2013, 540, 519, 11335, 6292, 540, 519, 865, 10777, 24107, 2249, 2676, 19064, 1515, 540, 2048, 338, 21262, 685, 2249, 1475, 9288, 25979, 682, 322, 603, 582, 13116, 1486, 27019, 577, 594, 5021, 8006, 630, 19031, 332, 264, 630, 11743, 10534, 2750, 4624, 1544, 19241, 582, 13116, 1486, 27019, 577, 594, 5021, 8006, 630, 19031, 332, 264, 1310, 835, 3606, 1591, 4783, 1475, 2750, 4624, 1544, 19241, 582, 13116, 1486, 27019, 577, 594, 5021, 8006, 630, 19031, 332, 264, 1310, 1079, 3606, 1591, 9979, 1475, 2750, 4624, 1544, 19241, 8527, 2684, 545, 1486, 27019, 577, 594, 5021, 8006, 630, 19031, 332, 264, 1310, 1614, 3606, 1591, 9979, 1475, 9288, 25979, 1544, 19241, 582, 13116, 1486, 27019, 577, 594, 5021, 8006, 630, 19031, 332, 264, 630, 11743, 10534, 17357, 22046, 532, 3606, 1591, 9979, 2008, 299, 24147, 24201, 630, 548, 322, 603, 582, 13116, 264, 4734, 519, 1216, 6241, 2038, 267, 1247, 4130, 3283, 630, 680, 1678, 339, 582, 13116, 264, 2663, 543, 3976, 3136, 609, 519, 1646, 540, 1486, 27019, 577, 4083, 269, 769, 19220, 602, 942, 26125, 267, 1312, 2010, 540, 16793, 5555, 6336, 741, 26255, 3599, 543, 16173, 269, 1703, 4667, 547, 581, 1100, 2601, 1946, 267, 693, 2547, 930, 540, 1346, 1079, 1114, 2010, 540, 16793, 267, 711, 547, 1265, 2933, 538, 519, 1482, 1327, 1275, 543, 267, 607, 519, 3355, 15817, 3743, 585, 519, 15285, 540, 519, 12586, 1998, 7154, 540, 1272, 814, 711, 3366, 547, 519, 10661, 540, 513, 4719, 11064, 267, 950, 30553, 568, 6603, 267, 547, 954, 3691, 539, 269, 1703, 616, 1100, 12326, 593, 954, 3691, 5338, 540, 11335, 2048, 338, 21262, 685, 2249, 865, 602, 835, 666, 2721, 8753, 593, 519, 6228, 540, 513, 4719, 11064, 543, 3976, 547, 513, 21533, 602, 2530, 540, 2901, 1544, 19241, 582, 15577, 610, 682, 322, 603, 582, 15577, 538, 519, 2250, 814, 5555, 3366, 547, 884, 857, 566, 563, 2252, 972, 568, 1100, 4719, 11064, 267, 1287, 513, 8375, 2243, 568, 2404, 609, 519, 1826, 540, 18472, 13684, 676, 519, 3355, 15817, 593, 602, 5444, 9013, 519, 10351, 1591, 4783, 1991, 547, 32450, 269, 1403, 621, 10268, 513, 21780, 27318, 18472, 267, 649, 1131, 2503, 849, 519, 2504, 540, 10636, 27340, 4925, 27109, 513, 2186, 540, 10859, 13807, 1678, 339, 582, 13116, 7154, 540, 1272, 540, 10156, 8653, 543, 27229, 1486, 27019, 2583, 609, 7864, 627, 528, 3149, 269, 769, 3932, 267, 2576, 1131, 2503, 547, 1265, 538, 519, 1482, 24466, 2249, 782, 1614, 2010, 540, 1486, 27019, 2583, 267, 552, 3052, 1421, 533, 14072, 529, 2869, 531, 267, 1617, 529, 2869, 531, 267, 543, 13591, 269, 1306, 713, 568, 711, 519, 2013, 267, 693, 2547, 538, 11335, 454, 1103, 1489, 547, 519, 1657, 8367, 267, 972, 616, 693, 2547, 476, 1015, 8424, 540, 2147, 267, 1034, 4440, 5702, 1644, 2249, 540, 454, 30509, 689, 519, 2530, 540, 1544, 19241, 582, 15577, 630, 514, 938, 2070, 267, 538, 930, 2818, 540, 519, 1482, 2551, 267, 607, 13592, 616, 4351, 9259, 264, 538, 681, 7469, 527, 558, 13160, 267, 972, 568, 849, 513, 1134, 1673, 29545, 12402, 585, 7368, 2530, 540, 824, 598, 334, 22470, 1271, 2062, 326, 583, 3889, 971, 607, 2234, 3121, 267, 2625, 8113, 529, 267, 543, 29086, 14189, 1510, 27327, 540, 519, 7658, 27019, 577, 19916, 1496, 1321, 267, 476, 7871, 1700, 4649, 4940, 11048, 267, 621, 568, 4502, 15663, 602, 519, 2530, 540, 1544, 19241, 582, 15577, 538, 930, 2881, 337, 1749, 267, 899, 454, 7661, 267, 998, 519, 1459, 960, 519, 681, 7469, 527, 558, 573, 21426, 540, 519, 18774, 21329, 4262, 814, 1044, 23353, 676, 2947, 1007, 2818, 607, 519, 3406, 6098, 3617, 5054, 971, 607, 1979, 8328, 10080, 267, 12103, 518, 331, 15135, 267, 543, 4514, 7297, 563, 289, 537, 322, 2867, 623, 267, 2782, 384, 501, 333, 589, 269, 1773, 1678, 339, 582, 13116, 12586, 1998, 1646, 538, 2620, 21226, 8819, 1886, 16104, 269, 590, 1513, 807, 269, 476, 3192, 280, 282, 476, 5038, 281, 4391, 268, 2412, 563, 301, 6686, 16379, 601, 589, 267, 2274, 18255, 1068, 744, 267, 2605, 383, 377, 6767, 808, 269, 18882, 540, 1544, 19241, 582, 15577, 910, 2963, 689, 2038, 30114, 639, 14369, 269, 12472, 543, 4886, 269, 476, 1220, 277, 282, 476, 279, 281, 23283, 268, 20065, 563, 289, 537, 322, 2867, 623, 269, 5695, 5090, 25281, 543, 7154, 540, 1646, 281, 634, 946, 543, 6057, 540, 1486, 27019, 577, 19916, 269, 5689, 659, 860, 807, 269, 476, 1960, 271, 282, 476, 3953, 281, 7597, 268, 6507, 563, 30469, 1853, 1470, 631, 267, 2558, 532, 8932, 700, 269, 5565, 24107, 2249, 540, 715, 817, 926, 2088, 324, 538, 519, 11335, 7256, 630, 3682, 810, 1962, 21123, 807, 267, 12653, 545, 13160, 267, 715, 817, 926, 2088, 324, 1040, 12157, 27451, 3626, 5689, 659, 860, 4815, 269, 476, 1960, 273, 282, 476, 2764, 281, 14991, 268, 8182, 563, 299, 773, 828, 2006, 29172, 267, 2353, 3000, 654, 291, 267, 661, 671, 1042, 613, 715, 269, 20946, 540, 5542, 543, 12550, 5271, 1828, 776, 3270, 538, 519, 2881, 761, 749, 573, 8819, 1886, 16104, 269, 19232, 984, 5735, 269, 476, 1960, 274, 282, 476, 866, 281, 476, 13078, 268, 21497, 563, 297, 629, 331, 976, 7288, 667, 267, 700, 583, 345, 17241, 269, 30038, 1998, 14498, 540, 7286, 536, 5460, 545, 29068, 281, 12779, 984, 8344, 6286, 269, 25067, 6732, 7732, 282, 476, 2735, 274, 282, 476, 6812, 281, 476, 2641, 268, 8660, 563, 299, 7002, 808, 295, 267, 25376, 322, 2867, 623, 269, 17392, 3270, 543, 29371, 540, 605, 810, 1962, 21123, 8819, 1886, 16104, 2059, 513, 9378, 870, 5832, 538, 519, 9533, 7909, 269, 4750, 540, 13149, 18143, 5948, 540, 519, 269, 476, 1960, 272, 282, 476, 10170, 281, 1556, 268, 1839, 563, 305, 6269, 1068, 661, 292, 267, 16737, 19954, 267, 4446, 5886, 28251, 269, 769, 591, 974, 24260, 25672, 1108, 269, 589, 6198, 12105, 1935, 269, 476, 278, 628, 3798, 269, 15588, 338, 14727, 1961, 267, 774, 1682, 517, 4804, 267, 5549, 1421, 5617, 23992, 267, 11404, 269, 476, 1220, 275, 282, 476, 31275, 6032, 563, 303, 340, 650, 663, 516, 715, 267, 5204, 810, 5271, 20724, 267, 20182, 320, 645, 267, 595, 9567, 26919, 589, 267, 25376, 322, 2867, 623, 269, 13809, 540, 1544, 19241, 582, 15577, 543, 884, 857, 566, 281, 10923, 26610, 538, 519, 2620, 21226, 8819, 1886, 617, 645, 4331, 339, 5448, 31855, 770, 1886, 18649, 267, 1230, 334, 728, 320, 264, 538, 519, 7262, 7414, 269, 3590, 18267, 543, 26085, 269, 476, 1001, 271, 282, 476, 279, 281, 272, 268, 2190, 563, 293, 539, 657, 990, 589, 292, 267, 10658, 650, 663, 516, 715, 269, 623, 17222, 4094, 344, 543, 30953, 540, 519, 918, 1069, 807, 1700, 28342, 617, 7469, 333, 7578, 29687, 3326, 639, 8619, 281, 22050, 1886, 18649, 281, 681, 7469, 527, 558, 13160, 264, 12593, 1950, 281, 513, 7415, 5982, 3842, 29159, 540, 12586, 1998, 1646, 269, 3590, 18267, 543, 26085, 269, 476, 1001, 273, 282, 476, 1015, 281, 4510, 278, 268, 5325, 278, 563, 290, 770, 601, 514, 631, 267, 30340, 712, 10972, 699, 808, 267, 4425, 529, 1088, 1512, 14330, 267, 700, 9926, 537, 564, 623, 267, 595, 9567, 26919, 589, 267, 14265, 7596, 595, 267, 6341, 14508, 590, 269, 26726, 4763, 543, 1439, 655, 1143, 593, 9378, 870, 338, 281, 1445, 593, 14605, 12165, 633, 683, 690, 770, 1886, 16104, 269, 18143, 4750, 540, 519, 6931, 928, 534, 5980, 269, 476, 1001, 271, 282, 476, 1911, 281, 22213, 268, 275, 4343, 563, 307, 11336, 808, 291, 267, 23006, 528, 962, 296, 267, 5204, 810, 5271, 20724, 269, 5983, 326, 583, 14169, 267, 3049, 902, 6127, 543, 8760, 540, 519, 1230, 334, 728, 320, 630, 307, 2135, 13709, 1601, 320, 264, 630, 294, 770, 1886, 18649, 1040, 28743, 540, 519, 7849, 3778, 7467, 540, 5507, 630, 313, 334, 1108, 1040, 476, 1960, 274, 282, 476, 6795, 281, 10219, 268, 10204, 563, 307, 27462, 808, 298, 269, 18280, 4084, 540, 2487, 543, 8093, 2881, 337, 1749, 630, 300, 3326, 639, 8619, 281, 22050, 1886, 18649, 1040, 2098, 2393, 1314, 320, 269, 476, 1220, 275, 282, 476, 6924, 273, 281, 476, 272, 268, 15782, 276, 563, 303, 340, 650, 663, 516, 715, 267, 6341, 14508, 590, 267, 4425, 529, 1088, 1512, 14330, 267, 5204, 810, 5271, 20724, 267, 23006, 528, 962, 296, 267, 14265, 7596, 595, 267, 595, 9567, 26919, 589, 267, 25376, 322, 2867, 623, 269, 18786, 547, 19586, 519, 3454, 13709, 1601, 534, 24516, 281, 17449, 18105, 4094, 344, 540, 519, 968, 339, 584, 337, 1749, 892, 630, 10468, 690, 770, 1886, 18649, 281, 1230, 334, 728, 320, 1040, 623, 17222, 4094, 7497, 543, 12472, 269, 476, 1220, 279, 282, 476, 5325, 281, 12208, 273, 268, 13647, 275, 563, 303, 340, 650, 663, 516, 715, 267, 23006, 528, 962, 296, 267, 5204, 810, 5271, 20724, 267, 595, 9567, 26919, 589, 267, 2725, 9807, 595, 267, 21984, 13530, 570, 267, 25595, 808, 267, 25376, 322, 2867, 623, 269, 634, 15743, 512, 3139, 286, 589, 7636, 18105, 4094, 344, 540, 519, 1230, 334, 728, 320, 630, 300, 3326, 639, 8619, 22050, 1886, 18649, 1040, 4750, 540, 631, 3326, 639, 4754, 5525, 269, 476, 1001, 272, 282, 476, 6507, 281, 28796, 268, 26604, 563, 289, 537, 322, 2867, 623, 267, 23006, 528, 962, 296, 267, 5204, 810, 5271, 6789, 267, 10658, 650, 663, 516, 715, 269, 589, 1007, 10512, 8760, 540, 519, 1230, 334, 728, 320, 630, 294, 770, 1886, 18649, 1040, 4750, 540, 631, 3326, 639, 4754, 5525, 269, 476, 1001, 272, 282, 476, 6507, 281, 24129, 268, 28143, 563, 303, 639, 831, 328, 674, 267, 717, 1014, 20692, 3960, 328, 4149, 320, 767, 2993, 681, 267, 20182, 1470, 631, 269, 589, 14469, 540, 519, 11335, 681, 7469, 527, 558, 13160, 476, 272, 281, 593, 519, 24107, 2249, 681, 7469, 527, 5448, 733, 580, 7699, 12507, 614, 657, 6737, 267, 476, 6642, 275, 543, 681, 7469, 527, 5448, 838, 6598, 534, 269, 838, 269, 630, 294, 770, 1886, 18649, 267, 1230, 334, 728, 320, 1040, 30345, 639, 269, 476, 1001, 273, 282, 476, 1789, 281, 6078, 268, 7367, 563, 303, 639, 831, 328, 674, 267, 717, 1014, 20692, 3960, 328, 4149, 320, 767, 2993, 681, 267, 20182, 1470, 631, 269, 589, 14469, 540, 519, 11335, 681, 7469, 527, 558, 13160, 476, 273, 281, 2201, 519, 24107, 2249, 681, 7469, 527, 5448, 1899, 565, 1092, 16360, 6185, 6185, 1421, 476, 6642, 274, 264, 543, 681, 7469, 527, 5448, 1159, 3419, 331, 1470, 514, 269, 838, 269, 30345, 639, 269, 476, 1001, 274, 282, 476, 4029, 281, 476, 1556, 268, 736, 563, 1320, 832, 558, 717, 269, 3115, 3174, 543, 12586, 1998, 1646, 540, 20636, 7286, 5377, 29068, 267, 609, 2027, 4704, 547, 519, 28506, 2023, 545, 16793, 538, 519, 14675, 630, 383, 502 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6538, 267, 855, 789, 616, 4481, 22041, 547, 6023, 602, 563, 763, 1942, 568, 540, 1576, 602, 1142, 8142, 13976, 922, 1378, 630, 14783, 264, 2070, 540, 519, 1239, 2203, 269, 1924, 952, 1079, 3755, 7662, 519, 1482, 4062, 540, 1239, 267, 621, 786, 581, 4371, 538, 3965, 7466, 563, 2467, 1131, 581, 865, 1454, 811, 547, 2161, 827, 808, 7417, 269, 594, 1419, 1745, 602, 621, 4991, 513, 2603, 540, 19888, 5703, 9880, 3274, 1317, 621, 568, 29144, 269, 898, 4249, 2731, 1134, 609, 2413, 5752, 6163, 543, 4654, 543, 621, 2337, 547, 1628, 1360, 7123, 3156, 269, 769, 513, 1259, 267, 808, 7417, 568, 711, 865, 1454, 827, 1018, 621, 2488, 547, 596, 607, 513, 27732, 267, 855, 2864, 1018, 621, 14014, 596, 689, 630, 935, 2017, 6275, 2152, 267, 1239, 8699, 2152, 267, 3267, 1040, 634, 808, 7417, 6189, 568, 513, 6305, 1383, 585, 17872, 5752, 538, 713, 2543, 910, 621, 568, 782, 827, 3106, 1101, 269, 901, 6189, 814, 513, 8810, 3950, 2594, 540, 1373, 1134, 25252, 1243, 585, 1804, 3785, 543, 6887, 563, 1103, 519, 1985, 2376, 267, 649, 786, 1491, 513, 6251, 1413, 593, 519, 4890, 6388, 540, 713, 6189, 676, 513, 6405, 1383, 910, 621, 786, 1491, 513, 2603, 1447, 3009, 593, 938, 851, 547, 1118, 782, 540, 713, 4755, 982, 596, 1589, 269, 0, 296, 331, 717, 1640, 7224, 1019, 16114, 334, 853, 1030, 8457, 454, 1103, 7977, 267, 853, 269, 15537, 779, 4303, 630, 559, 717, 1640, 7224, 1019, 16114, 334, 853, 1030, 8457, 264, 568, 513, 3084, 1857, 9702, 269, 18270, 730, 593, 5412, 476, 2918, 267, 519, 1554, 1310, 8285, 267, 32228, 2103, 8956, 519, 23920, 1107, 519, 1360, 1101, 12004, 10455, 2479, 6592, 538, 4168, 18381, 1107, 609, 7772, 748, 16873, 543, 942, 3620, 517, 1819, 5389, 269, 32228, 2103, 10836, 689, 741, 5321, 593, 5412, 476, 2918, 585, 513, 2757, 588, 2651, 998, 4884, 630, 21406, 19448, 533, 21692, 1375, 328, 1092, 264, 547, 26250, 2828, 543, 3643, 2199, 14844, 2032, 10207, 630, 16341, 540, 799, 616, 556, 523, 716, 539, 676, 2661, 22407, 256, 1916, 4407, 8285, 568, 12926, 513, 26982, 2678, 26035, 267, 11603, 14311, 585, 1920, 267, 24924, 717, 1640, 7224, 1019, 16114, 334, 853, 1030, 8457, 568, 9976, 609, 2828, 267, 12543, 267, 543, 10034, 27714, 269, 634, 10754, 540, 7977, 2097, 9800, 609, 1134, 2914, 29913, 267, 543, 15976, 543, 3909, 1184, 687, 616, 4371, 2429, 519, 4182, 269, 3509, 32228, 2103, 3643, 2199, 13039, 543, 10506, 547, 1118, 23190, 538, 8956, 540, 16114, 334, 853, 1030, 8457, 267, 543, 538, 22087, 7699, 267, 936, 476, 4968, 17137, 7119, 538, 588, 1645, 513, 2661, 556, 523, 716, 618, 540, 519, 12004, 10455, 3256, 540, 519, 23920, 269, 13536, 267, 2828, 543, 1920, 5531, 5180, 585, 513, 32727, 696, 1190, 544, 1342, 599, 21649, 563, 8005, 12984, 16114, 334, 853, 1030, 8457, 888, 306, 27053, 853, 1030, 8457, 568, 6444, 607, 519, 1360, 1101, 4168, 12004, 10455, 269, 4340, 547, 20450, 476, 277, 540, 519, 24347, 956, 267, 12142, 15537, 729, 513, 18774, 523, 626, 267, 513, 4914, 23899, 5259, 18702, 4035, 945, 10736, 547, 8567, 269, 1261, 729, 835, 519, 1101, 632, 659, 976, 540, 519, 2038, 5783, 540, 13243, 267, 3743, 585, 13327, 4370, 519, 10304, 540, 11361, 11097, 3298, 267, 2021, 543, 610, 874, 753, 269, 1261, 729, 12021, 585, 1010, 26988, 6411, 543, 585, 1010, 1983, 607, 606, 27685, 626, 269, 20450, 476, 277, 540, 519, 24347, 956, 6257, 1864, 607, 513, 812, 968, 21459, 540, 5132, 543, 519, 10513, 13336, 892, 945, 5340, 1082, 968, 342, 1180, 619, 543, 4191, 1851, 519, 1004, 892, 630, 8002, 338, 476, 277, 281, 279, 1040, 16114, 334, 853, 1030, 8457, 779, 10752, 941, 1360, 10388, 267, 543, 646, 18617, 1082, 547, 6460, 547, 519, 5132, 563, 763, 1967, 540, 16114, 334, 853, 1030, 8457, 779, 10752, 606, 13499, 1585, 2818, 540, 519, 6014, 31263, 690, 1132, 269, 1261, 729, 15034, 540, 1025, 5684, 1335, 344, 543, 4547, 593, 4693, 1354, 519, 5842, 1117, 12541, 630, 297, 518, 12731, 779, 14558, 28649, 5480, 1070, 547, 7247, 646, 5795, 606, 791, 6842, 539, 8878, 540, 1010, 5132, 267, 679, 571, 3101, 1010, 6014, 5304, 269, 1261, 729, 10294, 513, 1025, 5684, 31906, 543, 1951, 13949, 3544, 519, 2749, 267, 1141, 646, 729, 588, 19861, 547, 2669, 269, 24296, 584, 29418, 267, 16114, 334, 853, 1030, 8457, 568, 519, 19121, 23920, 540, 588, 517, 655, 3517, 563, 12024, 1082, 25598, 267, 16114, 334, 853, 1030, 8457, 814, 1010, 1378, 3982, 12835, 2762, 269, 1261, 568, 3335, 13269, 538, 1148, 609, 10007, 31732, 24851, 689, 1010, 2212, 267, 782, 24851, 547, 519, 1259, 538, 799, 646, 729, 12004, 344, 1042, 269, 3958, 267, 646, 568, 1419, 17814, 8066, 513, 12004, 10455, 779, 13869, 9992, 1180, 543, 606, 1651, 1619, 6633, 518, 543, 9849, 513, 13862, 630, 10517, 6974, 532, 12004, 10455, 3256, 1040, 0, 3674, 621, 14949, 547, 14974, 513, 11337, 1479, 610, 2196, 519, 3905, 7148, 888, 3963, 568, 11273, 7573, 1164, 1981, 888, 305, 823, 269, 19676, 568, 835, 540, 519, 1034, 13881, 3536, 593, 519, 4541, 543, 568, 849, 2808, 513, 1164, 16151, 1426, 950, 621, 2501, 547, 1426, 15464, 269, 898, 666, 1831, 13572, 609, 645, 26808, 6147, 639, 267, 799, 666, 7620, 3468, 543, 2661, 538, 4608, 10541, 7573, 607, 24032, 563, 3674, 11273, 7573, 1164, 1981, 610, 1970, 1981, 1426, 888, 11947, 1981, 3536, 2671, 513, 12402, 547, 27253, 607, 513, 1267, 540, 5667, 340, 3386, 4859, 2175, 610, 16789, 5986, 2409, 269, 2725, 1846, 267, 3165, 267, 1178, 11803, 267, 27156, 267, 32729, 267, 10683, 2472, 267, 18437, 543, 1256, 11273, 7573, 616, 782, 1806, 267, 543, 519, 10545, 6959, 666, 1291, 547, 12526, 563, 1432, 3536, 616, 1362, 539, 607, 1164, 1981, 888, 11947, 1981, 3536, 1331, 912, 268, 595, 10541, 5779, 543, 16738, 563, 268, 3911, 12097, 13687, 563, 268, 16721, 1563, 25235, 543, 5388, 563, 268, 595, 10541, 30000, 16469, 563, 268, 595, 10541, 9269, 4773, 563, 268, 22447, 267, 8645, 267, 4672, 8645, 563, 268, 29133, 28040, 625, 267, 27156, 267, 533, 5889, 339, 2946, 543, 5779, 533, 625, 563, 1432, 4523, 952, 596, 3548, 11273, 7573, 888, 1692, 1281, 24667, 730, 7573, 2014, 1426, 15464, 286, 28687, 10541, 7573, 666, 2270, 24032, 540, 645, 26808, 6147, 639, 267, 4551, 602, 666, 2014, 1426, 15464, 269, 634, 24032, 666, 7639, 950, 7573, 568, 11273, 269, 2560, 634, 3476, 11273, 7573, 568, 2451, 693, 4055, 2837, 267, 519, 811, 2693, 621, 568, 602, 519, 4551, 610, 13802, 1223, 1118, 519, 7573, 22247, 547, 3548, 563, 3674, 621, 2922, 547, 556, 17742, 11273, 7573, 888, 2005, 568, 2922, 547, 3548, 519, 7573, 4411, 607, 1279, 607, 621, 814, 1044, 22799, 543, 6740, 7157, 269, 1684, 711, 4734, 24667, 730, 7573, 9361, 593, 519, 4831, 269, 2560, 1684, 711, 556, 17742, 519, 7573, 811, 982, 2899, 607, 713, 2417, 2333, 519, 1981, 540, 1426, 15464, 563, 1432, 568, 519, 3017, 1063, 1164, 16151, 543, 1970, 1981, 3536, 888, 26807, 2010, 540, 1426, 1450, 2656, 2208, 540, 4551, 1317, 789, 616, 3622, 5848, 543, 1164, 538, 5567, 269, 1452, 616, 1572, 1164, 16151, 3536, 269, 16639, 602, 616, 1447, 2111, 547, 1489, 9190, 2208, 616, 1572, 1970, 16151, 3536, 269, 8899, 16151, 3536, 798, 711, 991, 547, 979, 538, 519, 26806, 543, 616, 3335, 3819, 3536, 563, 1432, 568, 606, 1383, 540, 513, 1970, 1981, 1426, 888, 20181, 16151, 3536, 616, 19355, 3613, 762, 971, 607, 282, 3694, 267, 536, 4593, 7057, 267, 24799, 267, 5743, 1186, 543, 25394, 630, 2254, 8645, 25394, 1040, 6270, 3536, 616, 12691, 547, 581, 26582, 538, 1426, 15464, 269, 2560, 3536, 602, 723, 1044, 12873, 267, 585, 1383, 281, 28655, 610, 2892, 1540, 3165, 563, 3674, 11273, 9269, 513, 1164, 16151, 1426, 888, 32552, 950, 5986, 1164, 16151, 3536, 454, 15933, 15464, 4551, 1332, 811, 3362, 593, 930, 3536, 982, 1866, 269, 4400, 16151, 3536, 1331, 281, 6151, 543, 11273, 5779, 1107, 971, 607, 9269, 543, 1295, 1027, 5779, 267, 543, 3536, 5627, 873, 267, 971, 607, 22101, 518, 3421, 267, 1225, 1845, 543, 15255, 27158, 269, 2560, 11273, 7573, 543, 18437, 563, 3963, 616, 1164, 16151, 3536, 1034, 2693, 547, 2014, 1426, 15464, 888, 301, 19153, 1107, 1034, 3536, 2270, 2614, 5567, 585, 4551, 547, 1332, 269, 901, 568, 2523, 519, 2013, 609, 5732, 1164, 16151, 3536, 971, 607, 10683, 543, 4212, 2472, 267, 5779, 543, 16738, 543, 16872, 269, 4826, 1107, 4551, 991, 1216, 585, 741, 2208, 269, 9453, 1216, 267, 2208, 949, 3500, 1524, 610, 3247, 563, 3674, 23611, 513, 1164, 16151, 1426, 888, 2005, 568, 4686, 585, 891, 3536, 547, 581, 2404, 609, 1426, 15464, 17061, 269, 6201, 540, 8899, 11485, 16639, 616, 281, 11918, 267, 536, 4593, 7057, 267, 12015, 3536, 267, 23611, 267, 12015, 18437, 267, 12015, 7573, 267, 7912, 267, 5743, 1186, 267, 27574, 3536, 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 ]
[ 2537, 281, 6078, 281, 6321, 692, 24730, 267, 312, 454, 300, 1897, 454, 8802, 626, 1229, 281, 476, 1220, 277, 268, 6734, 268, 1321, 454, 15803, 281, 476, 272, 267, 22332, 692, 25446, 7644, 291, 692, 311, 21948, 344, 29930, 15512, 6661, 271, 692, 19423, 1467, 692, 1012, 1948, 1556, 476, 1220, 277, 268, 4962, 268, 1724, 476, 2537, 281, 6872, 281, 736, 692, 24730, 267, 312, 454, 300, 1897, 454, 8802, 626, 1229, 281, 476, 1220, 277, 268, 6734, 268, 1321, 454, 15803, 281, 476, 272, 267, 22332, 692, 2162, 1234, 281, 5610, 692, 763, 19433, 568, 602, 519, 3970, 1129, 3443, 564, 3603, 998, 519, 7533, 1129, 543, 2451, 606, 18106, 20581, 476, 272, 24474, 267, 543, 3136, 547, 3310, 1739, 3268, 780, 305, 1157, 344, 267, 6961, 1946, 602, 781, 4570, 780, 311, 21948, 344, 29930, 15512, 6661, 271, 692, 19423, 1467, 0, 1892, 8073, 10055, 692, 258, 5685, 1023, 10628, 692, 300, 1897, 4595, 476, 3066, 3057, 476, 1001, 273, 454, 15697, 7831, 15765, 4653, 267, 476, 5881, 281, 4366, 7537, 692, 2162, 12443, 12455, 5288, 20372, 3346, 2798, 804, 6235, 15677, 692, 2641, 5147, 476, 1001, 275, 910, 476, 4905, 281, 4029, 6751, 692, 17098, 972, 10484, 328, 993, 4867, 538, 519, 1184, 540, 2936, 513, 3473, 800, 628, 332, 547, 5173, 476, 273, 291, 3346, 2798, 585, 1079, 23756, 29977, 630, 273, 20218, 10833, 585, 1631, 6393, 763, 2596, 2856, 568, 547, 17157, 519, 10071, 20372, 3068, 630, 1467, 10126, 264, 547, 519, 4704, 20372, 2427, 3068, 14742, 543, 1250, 6388, 4422, 607, 1246, 1384, 272, 4700, 2422, 19459, 7852, 11532, 547, 1205, 519, 16580, 3339, 543, 21774, 3178, 780, 273, 4700, 14419, 799, 568, 519, 10071, 543, 4704, 1560, 630, 27270, 568, 1560, 589, 543, 10071, 568, 1560, 645, 2141, 2020, 274, 4700, 4855, 519, 1489, 1448, 585, 519, 10071, 1560, 2059, 519, 30141, 3339, 630, 18823, 1211, 1489, 2020, 275, 4700, 4855, 519, 1489, 1448, 585, 519, 4704, 1560, 2059, 519, 3339, 630, 27270, 1489, 2020, 276, 4700, 4855, 519, 10071, 6316, 630, 1467, 10126, 264, 689, 519, 10071, 1489, 1448, 676, 4466, 519, 2034, 14584, 799, 568, 1034, 13902, 547, 519, 3339, 689, 519, 1985, 610, 3105, 14584, 780, 277, 4700, 4855, 519, 4704, 6316, 630, 1467, 10126, 264, 689, 519, 4704, 1489, 1448, 676, 4466, 519, 2034, 14584, 799, 568, 1034, 13902, 547, 519, 3339, 689, 519, 1985, 610, 3105, 14584, 780, 278, 4700, 5192, 829, 6244, 7781, 2451, 543, 1318, 3339, 630, 2431, 568, 11196, 344, 267, 1535, 264, 2451, 568, 630, 344, 267, 910, 343, 11723, 279, 4700, 20472, 1079, 14742, 585, 519, 519, 4704, 6316, 14622, 630, 5522, 2033, 476, 272, 3845, 815, 14584, 12297, 1318, 3339, 267, 1773, 2033, 476, 273, 3845, 815, 14584, 12297, 2451, 3339, 2020, 280, 4700, 1849, 760, 519, 10071, 1899, 10126, 1996, 519, 1079, 14742, 692, 1015, 4700, 5901, 1152, 519, 14622, 799, 11579, 6233, 610, 18953, 519, 4704, 20372, 910, 602, 338, 519, 3346, 1448, 4433, 2020, 296, 723, 2907, 8045, 851, 476, 272, 268, 279, 543, 891, 1568, 5386, 865, 2484, 267, 855, 1775, 993, 2731, 18516, 827, 519, 804, 6235, 14742, 780, 3674, 621, 2953, 547, 1175, 946, 519, 13902, 338, 540, 519, 3339, 799, 4092, 593, 519, 4704, 6316, 14622, 286, 2107, 568, 972, 930, 1732, 11721, 2120, 1259, 780, 8170, 1576, 519, 2063, 3364, 1775, 991, 547, 798, 568, 519, 4890, 804, 6235, 267, 855, 713, 4667, 547, 581, 1360, 2786, 4464, 910, 1058, 581, 2653, 547, 2936, 621, 1318, 2496, 2690, 1732, 7778, 1775, 1500, 1079, 2592, 910, 1294, 27589, 630, 2690, 519, 1101, 2013, 519, 804, 6235, 1131, 798, 4986, 267, 1317, 519, 14622, 616, 593, 519, 824, 2427, 540, 519, 7077, 267, 4061, 1250, 3346, 2798, 627, 746, 1175, 581, 519, 10071, 6316, 14622, 24355, 25898, 581, 2731, 1390, 568, 596, 16921, 666, 948, 803, 856, 609, 602, 780, 294, 22901, 902, 10484, 29806, 692, 2162, 9980, 640, 5057, 1062, 543, 6323, 692, 2537, 4873, 476, 1001, 275, 910, 476, 6349, 281, 4905, 6751, 692, 17098, 972, 10484, 328, 993, 538, 519, 5123, 547, 4946, 1250, 476, 273, 323, 6323, 2599, 936, 547, 1250, 28448, 2813, 11769, 5057, 1062, 543, 723, 930, 1374, 14331, 780, 2005, 568, 513, 2241, 11769, 5057, 1062, 267, 799, 814, 834, 15253, 7859, 257, 799, 616, 1175, 11149, 543, 834, 21902, 338, 257, 799, 949, 2154, 562, 16327, 7859, 543, 666, 9337, 610, 2721, 513, 1592, 540, 9988, 269, 1703, 568, 513, 5057, 14261, 799, 11578, 1007, 5057, 5049, 630, 1729, 1489, 19957, 3334, 264, 945, 5932, 1007, 20362, 543, 21461, 713, 676, 519, 1362, 2012, 269, 3973, 649, 723, 519, 22800, 9614, 799, 20362, 519, 3355, 1436, 1315, 9337, 1315, 2721, 540, 519, 1949, 267, 8952, 513, 11769, 1592, 1341, 513, 1592, 585, 1142, 1062, 543, 4991, 711, 1881, 950, 3334, 616, 3773, 610, 6569, 689, 606, 11769, 269, 1323, 11769, 568, 1175, 606, 5057, 8708, 799, 798, 723, 1152, 519, 2409, 585, 4946, 270, 8145, 8221, 543, 13098, 1324, 3334, 269, 774, 1846, 10416, 621, 910, 4986, 1932, 16681, 543, 1568, 865, 2484, 780, 3719, 267, 1775, 723, 513, 1966, 910, 1250, 1699, 6323, 2599, 3096, 513, 14461, 7853, 1362, 267, 799, 3568, 782, 519, 2838, 3601, 630, 3697, 2990, 267, 6991, 267, 2527, 267, 3337, 3092, 4700, 547, 960, 609, 543, 1250, 9988, 593, 519, 824, 1688, 798, 1175, 3568, 519, 834, 935, 1555, 619, 257, 540, 713, 3601, 910, 930, 3112, 581, 1031, 630, 13678, 921, 2010, 267, 899, 2338, 267, 6083, 1846, 264, 607, 8100, 799, 616, 1100, 8100, 9706, 7765, 1562, 693, 782, 910, 1317, 922, 8045, 538, 795, 822, 2444, 2815, 630, 11133, 1499, 616, 1100, 8100, 6393, 3674, 972, 513, 1434, 1259, 547, 11753, 513, 14461, 7853, 270, 874, 12695, 2599, 538, 513, 11769, 5057, 834, 17882, 257, 2496, 7069, 1699, 562, 2967, 633, 1935, 568, 1384, 306, 5902, 1154, 519, 14461, 7853, 883, 2789, 3334, 1384, 268, 19024, 15253, 9426, 630, 6570, 6152, 1152, 2020, 268, 20653, 6290, 15253, 9426, 630, 767, 6290, 267, 16070, 6991, 543, 1312, 14927, 532, 2188, 2020, 268, 17992, 15253, 9426, 630, 8527, 566, 5086, 543, 7004, 5119, 2020, 268, 7136, 15253, 9426, 630, 21346, 267, 24880, 543, 1312, 538, 3200, 2694, 540, 621, 1341, 5860, 3815, 2020, 268, 23426, 15253, 9426, 630, 935, 13935, 1175, 513, 4704, 547, 4890, 3337, 1362, 910, 899, 17781, 4537, 1901, 799, 1175, 3568, 519, 8953, 543, 519, 2527, 15253, 1393, 8631, 2020, 268, 8212, 15253, 9426, 630, 935, 13935, 782, 519, 1964, 3601, 689, 519, 14461, 7853, 899, 3196, 267, 18165, 267, 31575, 10231, 267, 1985, 2990, 267, 11508, 543, 1964, 3191, 8107, 742, 338, 2020, 290, 641, 3539, 3009, 936, 689, 1250, 6323, 2599, 883, 519, 1007, 6323, 1062, 543, 1689, 713, 547, 946, 519, 11769, 543, 3334, 899, 713, 630, 572, 2114, 547, 581, 30299, 17107, 3499, 1038, 8212, 21902, 269, 2889, 339, 9189, 269, 26303, 815, 1599, 263, 550, 885, 267, 24303, 264, 19127, 12534, 1775, 267, 11769, 267, 1064, 15253, 267, 6063, 15253, 267, 2527, 15253, 267, 32443, 15253, 267, 1098, 15253, 267, 8904, 15253, 16963, 30267, 8814, 269, 8218, 2891, 30125, 1900, 257, 32007, 2260, 5410, 4229, 547, 6422, 4703, 454, 30267, 8814, 269, 8218, 2891, 18204, 3433, 4229, 8442, 3248, 12534, 8904, 2690, 576, 815, 966, 1815, 273, 303, 944, 10947, 3890, 3248, 1721, 630, 328, 815, 476, 271, 282, 1775, 2999, 9988, 25915, 3890, 282, 1775, 10030, 264, 13634, 550, 640, 815, 9988, 269, 14403, 9217, 11850, 767, 15253, 815, 11769, 10947, 15253, 9426, 263, 10472, 269, 767, 21652, 548, 11850, 21346, 15253, 815, 11769, 10947, 15253, 9426, 263, 10472, 6230, 817, 21652, 548, 11850, 19148, 15253, 815, 11769, 10947, 15253, 9426, 263, 10472, 19657, 12695, 21652, 548, 11850, 6588, 6143, 15253, 815, 11769, 10947, 15253, 9426, 263, 10472, 3052, 571, 6143, 21652, 548, 11850, 604, 630, 256, 21346, 15253, 18994, 1805, 1738, 3890, 30974, 8904, 15253, 11203, 14275, 264, 13634, 4118, 269, 11355, 273, 11372, 306, 5632, 541, 263, 6588, 6143, 2690, 576, 267, 8904, 15253, 3052, 571, 6143, 267, 2527, 15253, 6230, 817, 11850, 8679, 8679, 30267, 8814, 269, 754, 3890, 16963, 2260, 20864, 29702, 454, 30267, 8814, 269, 8218, 2891, 18204, 3433, 6991, 8442, 3248, 1721, 630, 328, 815, 476, 271, 282, 1775, 2999, 9988, 25915, 3890, 282, 1775, 10030, 264, 13634, 550, 640, 815, 9988, 269, 14403, 9217, 11850, 1842, 15253, 815, 11769, 10947, 15253, 9426, 263, 10472, 269, 1842, 21652, 548, 11850, 767, 15253, 815, 11769, 10947, 15253, 9426, 263, 10472, 269, 767, 21652, 548, 11850, 21346, 15253, 815, 11769, 10947, 15253, 9426, 263, 10472, 6230, 817, 21652, 548, 11850, 19148, 15253, 815, 11769, 10947, 15253, 9426, 263, 10472, 19657, 12695, 21652, 548, 11850, 604, 630, 256, 21346, 15253, 18994, 1805, 1738, 28829, 13634, 10472, 269, 15759, 3433, 309, 601, 6290, 263, 19148, 15253, 267, 2527, 15253, 267, 1064, 15253, 267, 6063, 15253, 267, 24303, 11850, 348, 3116, 13634, 4118, 269, 11355, 273, 5141, 821, 263, 19148, 15253, 12785, 303, 3789, 267, 1064, 15253, 269, 6570, 11850, 8679, 8679, 30267, 8814, 269, 754, 3890, 3248, 348, 16963, 7884, 6518, 568, 610, 326, 3373, 713, 1384, 3499, 1038, 8212, 25811, 269, 2889, 339, 9189, 14714, 788, 815, 1599, 630, 19049, 264, 13634, 12534, 1775, 267, 1560, 16963, 30267, 8814, 269, 8218, 2891, 30125, 1900, 257, 32007, 2260, 5410, 8904, 3196, 547, 6422, 4703, 454, 30267, 8814, 269, 8218, 2891, 18204, 3433, 4229, 8442, 3248, 12534, 8904, 2690, 576, 815, 966, 1815, 273, 303, 944, 10947, 3890, 3248, 1721, 630, 328, 815, 476, 271, 282, 1775, 2999, 713, 9884, 5454, 25915, 3890, 282, 1775, 10030, 264, 13634, 7853, 815, 713, 9884, 5454, 269, 14403, 9217, 11850, 604, 630, 256, 7853, 18994, 1805, 1738, 28829, 13634, 4118, 269, 11355, 273, 11372, 306, 5632, 541, 263, 6588, 6143, 2690, 576, 267, 713, 9884, 5454, 3052, 571, 6143, 267, 1560, 6230, 817, 11850, 8679, 8679, 30267, 8814, 269, 754, 3890, 16963, 2260, 20864, 29702, 454, 30267, 8814, 269, 8218, 2891, 18204, 3433, 6991, 8442, 3248, 1721, 630, 328, 815, 476, 271, 282, 1775, 2999, 713, 9884, 5454, 25915, 3890, 282, 1775, 10030, 264, 13634, 7853, 815, 713, 9884, 5454, 269, 14403, 9217, 11850, 604, 630, 256, 7853, 18994, 1805, 1738, 3890, 30974, 1560, 269, 1177, 820, 264, 13634, 7853, 269, 15759, 3433, 309, 601, 6290, 5560, 339, 11850, 348, 3116, 13634, 4118, 269, 11355, 273, 5141, 821, 6357, 1328, 12785, 303, 3789, 267, 1560, 269, 6570, 11850, 8679, 8679, 30267, 8814, 269, 754, 3890, 16963, 2483, 7884, 763, 1152, 3364, 799, 2501, 547, 1250, 2247, 267, 568, 547, 1711, 782, 519, 4703, 585, 1142, 11769, 799, 8100, 782, 519, 3601, 689, 519, 3334, 2047, 630, 328, 1223, 798, 602, 1317, 1775, 723, 606, 31015, 1062, 2907, 264, 910, 799, 1131, 3196, 803, 547, 1689, 1250, 14461, 7853, 1362, 547, 946, 1152, 3959, 2010, 799, 666, 581, 1031, 607, 8100, 269, 4033, 2856, 568, 547, 1711, 513, 14461, 7853, 5057, 910, 799, 1175, 338, 2882, 782, 519, 3601, 689, 782, 2838, 3334, 630, 1993, 6030, 2115, 849, 581, 8100, 607, 1134, 2020, 5194, 1919, 799, 12961, 803, 568, 519, 1297, 540, 3334, 910, 568, 621, 513, 1434, 2856, 547, 5094, 519, 14461, 7853, 3601, 899, 713, 610, 568, 621, 1732, 547, 946, 513, 2582, 5057, 630, 305, 580, 573, 7853, 15253, 9426, 264, 799, 1175, 723, 782, 519, 3601, 689, 519, 3312, 835, 267, 855, 1131, 2154, 602, 519, 2990, 5057, 3096, 519, 14461, 7853, 2990, 547, 711, 991, 547, 5348, 322, 1258, 1125, 7158, 32465, 513, 327, 327, 327, 1932, 1454, 1928, 3267, 1775, 723, 606, 15677, 1631, 13718, 2162, 4112, 657, 633, 17242, 25372, 3123, 3665, 10047, 692, 1704, 4873, 476, 1001, 275, 910, 476, 6349, 281, 7906, 6751, 692, 17098, 972, 10484, 328, 3893, 1250, 16814, 276, 10768, 822, 2444, 2815, 476, 273, 291, 14938, 1113, 268, 19808, 592, 572, 1759, 6323, 2599, 2324, 910, 586, 599, 910, 855, 3893, 2152, 609, 930, 20868, 19326, 2433, 24179, 692, 2005, 5654, 7123, 267, 855, 17066, 5932, 23292, 17242, 25372, 799, 4679, 519, 16070, 6991, 780, 2080, 616, 513, 3381, 540, 930, 10518, 532, 10580, 799, 2982, 519, 20868, 1198, 630, 12898, 16550, 519, 12900, 267, 519, 10580, 10047, 4422, 5488, 543, 5488, 780, 5194, 3381, 6029, 519, 3390, 593, 513, 4130, 4336, 1384, 296, 5176, 946, 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 ]
[ 519, 18682, 2877, 547, 1118, 25308, 21360, 607, 1134, 269, 17491, 25308, 814, 513, 2182, 22554, 3574, 602, 568, 4749, 1031, 585, 11647, 610, 32466, 543, 568, 849, 1134, 2000, 27419, 607, 3595, 6229, 563, 1724, 269, 4414, 25308, 1107, 589, 1356, 6299, 5300, 454, 27832, 1419, 982, 4006, 25308, 267, 2699, 610, 2571, 25308, 666, 581, 1336, 538, 28301, 4104, 2127, 2282, 519, 4279, 20463, 543, 853, 269, 18039, 269, 769, 6476, 547, 4006, 25308, 267, 621, 4749, 9428, 593, 6632, 614, 12406, 543, 568, 7074, 585, 922, 20498, 2699, 15489, 16714, 563, 16446, 25308, 568, 513, 3529, 602, 568, 4749, 12630, 607, 606, 25798, 543, 5713, 607, 513, 1713, 7320, 1426, 2707, 269, 2368, 8988, 25308, 568, 3769, 538, 24096, 607, 851, 540, 713, 2249, 563, 1691, 269, 744, 6545, 1107, 2372, 2075, 639, 24094, 563, 1103, 3844, 543, 7013, 14411, 267, 18073, 568, 513, 7928, 2249, 540, 2182, 6229, 269, 898, 568, 12021, 585, 922, 2189, 3762, 543, 3376, 13862, 269, 4414, 267, 3043, 267, 543, 3109, 522, 6545, 616, 5065, 547, 14411, 267, 609, 2699, 18073, 1373, 519, 1034, 11342, 563, 2690, 7068, 899, 13650, 267, 2881, 12399, 267, 25277, 267, 543, 3574, 701, 1188, 619, 267, 519, 1035, 27163, 540, 18073, 4054, 13822, 513, 1713, 2707, 540, 1426, 269, 18718, 568, 513, 3810, 17028, 7458, 3574, 609, 1360, 2182, 26070, 29744, 3574, 602, 568, 4749, 1031, 585, 16013, 267, 32466, 267, 610, 11647, 563, 1428, 269, 14117, 2840, 577, 1107, 5975, 3121, 10246, 724, 8643, 18424, 454, 763, 4279, 20463, 21178, 269, 18039, 4104, 568, 1753, 547, 1082, 5835, 536, 1844, 1127, 267, 799, 3870, 669, 11035, 267, 14927, 10575, 663, 2127, 269, 634, 3529, 4991, 922, 2012, 689, 922, 3623, 854, 15454, 547, 5835, 880, 13626, 269, 12292, 8532, 5452, 543, 3032, 9469, 269, 14117, 2840, 577, 568, 4749, 1031, 585, 9885, 267, 533, 16072, 267, 19970, 1115, 267, 543, 11647, 563, 1626, 269, 12891, 1107, 17793, 343, 19434, 24094, 563, 2026, 327, 4054, 267, 1312, 3109, 543, 3043, 267, 616, 7839, 538, 14411, 269, 769, 3844, 543, 7187, 14411, 267, 5848, 6753, 616, 4749, 4448, 547, 3109, 11849, 269, 2201, 5671, 518, 4609, 267, 3043, 11849, 568, 811, 11342, 2509, 519, 5045, 269, 634, 900, 14283, 11849, 16004, 337, 814, 1185, 513, 1713, 1764, 593, 11849, 538, 14411, 1282, 519, 2250, 1906, 1296, 267, 3226, 538, 519, 22236, 563, 2026, 327, 6229, 568, 4749, 6964, 538, 519, 2504, 540, 2645, 1317, 540, 922, 15006, 543, 13916, 269, 12891, 568, 1031, 607, 17870, 543, 2306, 1434, 4492, 269, 12891, 3568, 513, 1360, 2182, 543, 14463, 3574, 1031, 585, 1907, 20362, 267, 13836, 16835, 267, 543, 11647, 563, 12179, 11849, 666, 581, 8246, 267, 2705, 267, 519, 6519, 12891, 568, 2219, 547, 581, 519, 1655, 1813, 547, 922, 2656, 2208, 269, 9603, 547, 7839, 28383, 540, 519, 9622, 12245, 12891, 645, 648, 337, 12961, 267, 11849, 4054, 616, 538, 8594, 563, 16352, 6743, 693, 519, 1455, 4104, 607, 6592, 676, 519, 14411, 11206, 12754, 22802, 267, 621, 568, 1655, 547, 917, 602, 14411, 814, 513, 1360, 3309, 4104, 9265, 602, 1058, 581, 8268, 563, 3383, 267, 607, 596, 979, 9544, 4054, 538, 543, 1472, 707, 2146, 799, 594, 18973, 596, 547, 798, 865, 267, 1175, 3314, 602, 596, 666, 1039, 891, 4190, 543, 1360, 6225, 4054, 269, 2913, 779, 979, 593, 9544, 4054, 547, 11177, 3047, 547, 1200, 4503, 18710, 563, 268, 476, 2537, 9540, 19029, 585, 8419, 14924, 25597, 454, 268, 5440, 476, 1015, 4107, 29510, 15661, 538, 4516, 454, 268, 476, 1321, 12085, 2229, 666, 798, 547, 3247, 17717, 454, 268, 476, 274, 11683, 9537, 540, 11206, 1299, 519, 476, 1556, 4427, 6874, 4885, 454, 268, 476, 1704, 21624, 12700, 6168, 634, 23427, 14175, 10809, 454, 288, 6612, 12454, 2825, 626, 676, 2295, 269, 8048, 1543, 5856, 693, 5113, 7883, 563, 296, 11441, 547, 13599, 519, 1857, 827, 519, 1604, 543, 922, 2042, 563, 2005, 814, 2141, 1044, 827, 2470, 267, 649, 11129, 547, 2149, 711, 6861, 269, 0, 277, 4728, 4951, 513, 4190, 4715, 12386, 607, 513, 5176, 2407, 7599, 1305, 3297, 519, 3038, 2064, 6607, 1467, 538, 29049, 6816, 269, 634, 10538, 7599, 666, 581, 2938, 29855, 3297, 519, 1236, 903, 322, 1905, 619, 269, 634, 7599, 729, 1305, 547, 581, 693, 922, 2407, 652, 593, 476, 278, 4728, 563, 763, 3923, 779, 2407, 7599, 4422, 676, 519, 2012, 540, 519, 654, 768, 9855, 267, 538, 4704, 547, 519, 1114, 7068, 6932, 547, 10950, 5614, 269, 634, 7599, 568, 4867, 476, 1428, 269, 273, 2395, 2025, 269, 898, 568, 476, 4375, 279, 279, 2190, 5998, 689, 519, 3047, 269, 634, 1985, 1007, 7599, 568, 593, 476, 2641, 3057, 476, 1708, 274, 563, 7197, 1004, 723, 2760, 4862, 540, 513, 21431, 7599, 267, 855, 621, 568, 538, 1249, 519, 2757, 2012, 585, 519, 4728, 2407, 7599, 269, 901, 7389, 1394, 547, 519, 10120, 17417, 543, 7111, 1977, 11031, 945, 5795, 1142, 3923, 779, 7599, 513, 1114, 2012, 267, 1419, 10452, 519, 2242, 538, 2470, 269, 634, 5594, 9490, 3280, 532, 21431, 7599, 4991, 922, 2012, 689, 519, 18803, 3618, 11988, 799, 19674, 689, 922, 5162, 1793, 3784, 538, 4728, 563, 1607, 568, 513, 2823, 550, 540, 519, 1439, 540, 5162, 543, 4098, 540, 5614, 543, 267, 538, 1249, 267, 519, 21431, 7599, 568, 849, 2808, 519, 2063, 2407, 7599, 540, 519, 5162, 563, 9961, 1686, 519, 4947, 540, 5614, 814, 1185, 513, 9645, 4644, 10452, 513, 1974, 540, 25430, 543, 1036, 9512, 269, 634, 4728, 2407, 7599, 814, 1896, 824, 4408, 10452, 713, 971, 607, 519, 30766, 523, 9855, 267, 799, 4016, 547, 519, 4168, 30766, 1974, 269, 2859, 1524, 547, 3618, 4408, 1331, 519, 7715, 7599, 267, 607, 519, 5017, 1831, 811, 3742, 1310, 519, 5162, 267, 543, 519, 18682, 610, 4006, 7599, 563, 763, 21431, 7599, 1396, 909, 519, 3781, 6607, 1472, 519, 1158, 950, 621, 6603, 922, 8445, 26149, 2038, 13638, 6640, 269, 10251, 267, 609, 1776, 7088, 11319, 922, 1259, 2066, 519, 772, 2529, 269, 713, 3018, 267, 1082, 4892, 941, 8572, 547, 7747, 519, 4190, 8289, 269, 634, 26478, 685, 1325, 2006, 659, 3081, 519, 7599, 4991, 602, 28215, 1317, 519, 2666, 538, 519, 7187, 4234, 6421, 5956, 547, 21352, 1282, 519, 3923, 267, 3850, 3618, 19095, 547, 2408, 563, 13436, 547, 824, 18691, 3297, 519, 20803, 540, 1142, 3923, 779, 2407, 7599, 267, 519, 28215, 1522, 581, 513, 3787, 540, 513, 12701, 1317, 4728, 568, 513, 1869, 669, 11035, 3923, 2066, 1804, 2694, 540, 3345, 3013, 267, 799, 1131, 3622, 2061, 8289, 902, 540, 17494, 269, 4340, 547, 24282, 3557, 779, 10137, 5604, 267, 519, 19993, 2837, 585, 606, 3618, 11988, 568, 1063, 476, 2004, 543, 476, 2568, 5232, 267, 543, 1082, 798, 711, 20496, 16171, 4365, 269, 654, 768, 610, 1100, 21431, 267, 519, 21431, 7599, 1705, 711, 14922, 1346, 945, 3576, 519, 942, 547, 1413, 909, 883, 519, 3781, 6607, 547, 1294, 519, 23836, 7599, 530, 24513, 548, 922, 1259, 2066, 563, 5475, 519, 2407, 7599, 267, 519, 16264, 1560, 786, 530, 2033, 883, 513, 3791, 6709, 6621, 1533, 676, 476, 1691, 4728, 543, 3914, 513, 1007, 7599, 4567, 593, 476, 2641, 4728, 563, 763, 1985, 2407, 7599, 786, 711, 4473, 883, 519, 6607, 2394, 13628, 267, 476, 277, 4989, 267, 543, 621, 786, 581, 1634, 607, 519, 11909, 7599, 269, 9603, 547, 519, 7599, 2921, 1472, 476, 30500, 2395, 547, 2347, 513, 2407, 476, 1321, 9979, 267, 930, 1296, 1995, 606, 3606, 2407, 7599, 1107, 543, 476, 1708, 274, 568, 835, 540, 1346, 1296, 269, 774, 597, 10117, 2407, 24262, 786, 11419, 519, 22839, 713, 1032, 267, 609, 519, 3063, 8289, 532, 16516, 547, 4755, 538, 3735, 4864, 563, 8170, 1576, 267, 596, 798, 711, 723, 547, 7227, 2394, 519, 1647, 540, 519, 3781, 547, 1294, 519, 9855, 269, 6733, 585, 519, 20498, 569, 6505, 9855, 607, 621, 14380, 1657, 519, 16880, 593, 11728, 10543, 269, 1403, 707, 4365, 568, 4057, 593, 11728, 3781, 267, 2119, 1586, 593, 13638, 563, 8450, 950, 519, 9855, 786, 581, 7298, 538, 707, 1858, 269, 901, 4728, 9855, 786, 1413, 2523, 1804, 547, 721, 950, 621, 568, 2282, 519, 16880, 1317, 540, 519, 9855, 21903, 267, 621, 5654, 8273, 950, 2282, 13354, 3615, 982, 621, 1281, 950, 621, 568, 1164, 538, 519, 6607, 1510, 1022, 8100, 269, 634, 2407, 9855, 4408, 1031, 676, 634, 6196, 10787, 1067, 779, 1325, 2006, 659, 2097, 689, 513, 1297, 540, 4025, 267, 1519, 7111, 1977, 267, 20616, 1977, 267, 543, 3864, 2959, 563, 9199, 3431, 267, 1142, 2407, 9855, 2012, 729, 4294, 547, 519, 3003, 16264, 3923, 538, 799, 621, 7018, 267, 711, 1152, 547, 519, 2407, 9855, 563, 18550, 779, 2407, 9855, 4422, 676, 519, 2012, 654, 768, 9855, 269, 1280, 1082, 1296, 267, 649, 2219, 713, 2012, 5219, 547, 519, 3618, 19095, 602, 2408, 607, 519, 3037, 2112, 916, 538, 5614, 269, 1717, 267, 811, 1382, 7000, 1776, 7778, 269, 769, 519, 476, 12293, 271, 338, 267, 18279, 22189, 2961, 591, 10272, 519, 715, 7596, 578, 612, 773, 543, 824, 7111, 1977, 11031, 543, 5206, 602, 519, 2012, 654, 768, 9855, 4016, 547, 513, 1114, 4990, 540, 21431, 1765, 2041, 564, 548, 16793, 267, 799, 2253, 547, 10836, 689, 519, 555, 1177, 532, 13626, 540, 4054, 543, 824, 5162, 12404, 8083, 693, 713, 942, 269, 0, 8993, 568, 513, 2347, 12257, 547, 1332, 538, 519, 1753, 4677, 269, 1358, 616, 4190, 267, 543, 789, 8007, 596, 609, 8949, 13000, 269, 1717, 267, 789, 991, 513, 2370, 960, 543, 4674, 547, 5150, 707, 7693, 269, 634, 3395, 2042, 540, 8431, 338, 616, 711, 16613, 269, 17943, 666, 3382, 3533, 1317, 952, 596, 2953, 519, 9238, 267, 1082, 2042, 666, 581, 14284, 950, 3395, 8431, 338, 563, 763, 811, 6225, 621, 568, 267, 519, 811, 24858, 8431, 338, 616, 2356, 30223, 676, 1896, 16507, 3676, 543, 7164, 4551, 610, 8290, 269, 18833, 875, 547, 5431, 8431, 3529, 3676, 666, 948, 596, 2322, 513, 1900, 6619, 540, 519, 4677, 9568, 269, 1809, 711, 2141, 3388, 4523, 3362, 267, 865, 1082, 1004, 1413, 585, 4267, 547, 1114, 2042, 1247, 3395, 8431, 338, 269, 2913, 779, 2638, 476, 1691, 1455, 8431, 270, 2304, 16660, 518, 2030, 2042, 2630, 563, 1691, 1455, 8431, 270, 2304, 16660, 518, 2030, 2042, 454, 5278, 2010, 540, 8431, 338, 616, 1507, 267, 865, 1118, 2386, 596, 917, 875, 2462, 519, 8431, 338, 1058, 581, 593, 707, 3529, 1354, 596, 11784, 269, 2755, 8431, 338, 1810, 1406, 1118, 1454, 535, 1380, 344, 827, 3037, 1826, 610, 9063, 267, 789, 1058, 723, 1863, 1673, 20995, 3037, 269, 1403, 519, 1216, 13978, 7555, 585, 513, 1279, 942, 267, 519, 5135, 538, 519, 5072, 11081, 267, 799, 666, 1267, 538, 1507, 5613, 563, 11405, 1107, 5269, 2386, 596, 2030, 707, 8431, 3529, 538, 519, 2407, 3141, 269, 589, 8431, 3529, 538, 519, 12094, 786, 3132, 1507, 5613, 269, 1403, 824, 2371, 723, 6738, 543, 616, 9328, 12976, 707, 8431, 3529, 267, 2015, 5969, 873, 1394, 547, 1450, 7943, 547, 979, 538, 269, 18320, 1454, 1216, 666, 849, 2014, 1507, 8431, 338, 282, 972, 3112, 581, 2614, 1216, 269, 23883, 538, 3905, 543, 3819, 4365, 267, 2015, 15273, 4221, 1472, 519, 8431, 3529, 269, 4256, 13719, 5072, 543, 519, 8431, 3529, 786, 7985, 689, 3819, 4365, 543, 16283, 1216, 269, 667, 8692, 12555, 666, 948, 14831, 3585, 563, 8993, 338, 9991, 689, 4054, 454, 15761, 2105, 5712, 540, 10980, 1419, 2014, 8431, 4054, 547, 6749, 741, 5613, 16349, 569, 269, 769, 3665, 2665, 267, 789, 3112, 3132, 4829, 269, 16952, 4191, 540, 1216, 2566, 1331, 5835, 532, 267, 1225, 1782, 3762, 267, 543, 16349, 6978, 12772, 563, 11405, 1107, 1403, 972, 814, 1044, 1100, 4764, 267, 519, 1216, 1319, 999, 8431, 4054, 1169, 3018, 610, 1079, 4374, 563, 32451, 1454, 13226, 454, 2750, 947, 633, 13226, 267, 2523, 9436, 11656, 18168, 267, 666, 2014, 5613, 547, 18009, 523, 538, 1952, 10187, 2299, 269, 634, 5613, 949, 711, 18009, 523, 543, 2887, 693, 519, 1439, 540, 519, 4005, 267, 3168, 25224, 539, 543, 16349, 563, 11405, 1107, 8617, 22289, 568, 711, 2556, 585, 1034, 8431, 4054, 269, 8617, 6992, 1944, 1058, 581, 11603, 585, 1034, 1494, 25202, 8431, 338, 610, 8431, 338, 6738, 538, 22501, 3037, 563, 2252, 8431, 4054, 616, 711, 3542, 3990, 5265, 267, 789, 786, 3132, 1799, 1155, 5613, 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 ]
[ 2020, 825, 17016, 815, 1496, 19112, 316, 1341, 8728, 454, 825, 10643, 815, 18358, 24314, 11172, 1341, 1496, 325, 262, 10955, 613, 630, 802, 1125, 28121, 802, 1125, 16585, 262, 585, 737, 21653, 538, 17830, 5334, 3278, 6540, 825, 585, 1775, 538, 2039, 12759, 263, 16059, 338, 15892, 1038, 12301, 16553, 7120, 263, 273, 267, 7003, 17347, 14533, 5334, 3278, 264, 1341, 476, 272, 267, 1775, 266, 272, 994, 1038, 12301, 269, 574, 19651, 263, 16059, 338, 5157, 7481, 1038, 12301, 26644, 6025, 527, 956, 5157, 7481, 1038, 12301, 269, 868, 6506, 8443, 7481, 1038, 12301, 269, 12682, 6506, 8443, 20285, 825, 12301, 20481, 10797, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1292, 4590, 8199, 1103, 713, 3009, 267, 649, 4019, 519, 5487, 680, 659, 1014, 11346, 547, 519, 3239, 1210, 2185, 1114, 17830, 7306, 281, 476, 274, 267, 476, 276, 267, 476, 278, 267, 543, 476, 280, 269, 1284, 1287, 4159, 519, 3312, 3239, 543, 519, 2185, 6316, 2592, 2427, 676, 2427, 780, 2026, 649, 666, 1294, 267, 519, 6316, 3239, 609, 513, 17830, 2450, 540, 476, 274, 568, 26776, 267, 1247, 519, 6316, 3239, 609, 513, 17830, 2450, 540, 476, 280, 568, 5347, 855, 4413, 525, 930, 5386, 3877, 269, 634, 6316, 2592, 609, 17830, 7306, 540, 476, 276, 543, 476, 278, 1683, 513, 1434, 3666, 1063, 6846, 5786, 543, 1469, 11091, 780, 2162, 10390, 692, 1103, 713, 1837, 267, 649, 723, 4121, 827, 1164, 1780, 12086, 543, 6316, 7020, 1210, 519, 5487, 680, 659, 1014, 1505, 269, 1284, 723, 2938, 875, 547, 946, 519, 5487, 680, 659, 1014, 11346, 547, 3713, 8728, 538, 606, 3239, 267, 543, 875, 547, 3442, 519, 1318, 17830, 2450, 585, 6316, 7020, 269, 1284, 723, 849, 4121, 827, 519, 4123, 32187, 1063, 6846, 5786, 543, 1469, 11091, 950, 7446, 519, 17830, 2450, 780, 10955, 613, 7020, 568, 513, 3532, 1907, 585, 3239, 4393, 543, 2780, 5075, 267, 543, 519, 5487, 680, 659, 1014, 1505, 568, 1175, 835, 540, 1082, 2409, 602, 666, 581, 1031, 585, 6316, 7020, 269, 1635, 13215, 519, 2035, 543, 2553, 4843, 538, 713, 1837, 267, 1053, 786, 581, 1134, 25668, 5792, 547, 10994, 513, 2647, 2039, 540, 3239, 4393, 543, 2780, 5075, 2042, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 258, 295, 26996, 623, 19798, 674, 6579, 307, 8991, 666, 1685, 891, 3527, 6769, 258, 6316, 7020, 25341, 1210, 5487, 680, 659, 1014, 14052, 5897, 5814, 20956, 273, 1477, 5814, 11885, 607, 5286, 1477, 5814, 21267, 28272, 607, 12301, 24653, 3698, 1292, 263, 2567, 5897, 453, 19112, 24786, 815, 834, 291, 281, 11138, 291, 21648, 564, 11138, 276, 269, 272, 269, 1556, 6745, 858, 29177, 453, 19112, 815, 20956, 273, 269, 574, 1348, 263, 19112, 24786, 267, 476, 272, 264, 1948, 3217, 708, 326, 607, 536, 23950, 1477, 453, 19112, 815, 20956, 273, 6983, 26404, 21760, 263, 19112, 267, 20956, 273, 269, 4596, 299, 3036, 29758, 16165, 273, 305, 16412, 10142, 453, 8354, 815, 20956, 273, 11482, 320, 680, 659, 1014, 263, 19112, 267, 910, 272, 267, 737, 21653, 284, 276, 267, 4336, 284, 272, 267, 18232, 284, 271, 267, 1477, 20930, 4848, 8473, 13911, 284, 29764, 273, 11065, 16704, 2207, 32707, 9128, 288, 17109, 10142, 453, 16059, 338, 815, 1496, 19112, 267, 6316, 316, 5897, 453, 339, 527, 956, 815, 18358, 24314, 3299, 1412, 10955, 613, 11172, 5897, 22610, 1775, 538, 2039, 263, 273, 8029, 453, 453, 10823, 16553, 7120, 263, 272, 267, 476, 273, 267, 1775, 266, 272, 264, 21506, 453, 453, 10823, 269, 574, 19651, 263, 16059, 338, 5157, 29573, 453, 453, 10823, 26644, 6025, 527, 956, 5157, 29573, 453, 453, 10823, 269, 868, 6506, 8443, 29573, 453, 453, 10823, 269, 12682, 6506, 8443, 316, 10142, 453, 10823, 20481, 14052, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 6769, 453, 10852, 4590, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 273, 267, 274, 267, 275, 7481, 453, 16911, 815, 804, 328, 269, 27785, 318, 16911, 4590, 453, 916, 677, 815, 8585, 613, 31374, 4590, 453, 916, 677, 269, 1067, 2471, 677, 263, 16911, 269, 4289, 2020, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 453, 10852, 10797, 258, 300, 10235, 31374, 454, 0, 3698, 5119, 9558, 2821, 263, 9795, 8029, 825, 585, 513, 538, 2039, 263, 271, 267, 6352, 263, 9795, 264, 8029, 1038, 952, 7003, 263, 9795, 314, 271, 8079, 11203, 7003, 263, 9795, 314, 320, 316, 8029, 2018, 1820, 2891, 1103, 20777, 5119, 269, 8347, 1586, 1701, 3418, 2018, 2736, 1477, 1038, 8640, 7003, 263, 9795, 264, 2652, 476, 272, 6769, 2018, 1820, 263, 9795, 3418, 825, 3116, 6769, 1038, 1098, 2821, 815, 1496, 15947, 1038, 585, 1775, 538, 2039, 263, 271, 267, 7003, 263, 9795, 314, 271, 8079, 8029, 2018, 585, 795, 538, 2039, 263, 271, 267, 7003, 263, 9795, 264, 8029, 3546, 1098, 2821, 6910, 263, 9795, 14728, 6012, 328, 29573, 1038, 1098, 2821, 325, 1400, 815, 1496, 1477, 2018, 1098, 2821, 25208, 281, 330, 1341, 7003, 263, 9795, 13580, 1477, 2018, 585, 737, 538, 2039, 263, 271, 267, 7003, 6025, 4920, 2821, 1070, 7003, 263, 9795, 17903, 1038, 9948, 1477, 1038, 1820, 6025, 4920, 2821, 325, 1400, 10142, 3240, 30467, 815, 1496, 15947, 9795, 9558, 2821, 30044, 30467, 3418, 0, 18851, 1477, 32046, 593, 774, 340, 8734, 476, 476, 276, 476, 1724, 281, 2004, 281, 4375, 476, 1708, 271, 1477, 287, 10461, 281, 4498, 684, 1477, 18851, 1477, 5228, 4351, 1104, 4351, 267, 7833, 1477, 5228, 2979, 1104, 4073, 267, 1163, 1477, 5814, 21267, 28272, 607, 12301, 1477, 5228, 11885, 1104, 4688, 339, 868, 5897, 3698, 8516, 6958, 4233, 630, 343, 267, 586, 264, 2433, 1477, 825, 2132, 630, 275, 268, 273, 269, 272, 265, 335, 578, 3287, 267, 273, 11924, 335, 578, 3287, 267, 476, 275, 8358, 274, 12684, 335, 578, 3287, 267, 273, 11924, 343, 265, 344, 266, 8987, 275, 266, 275, 265, 335, 578, 12169, 267, 273, 4297, 265, 335, 578, 12169, 267, 273, 3418, 3698, 4351, 13448, 20465, 2433, 1477, 825, 2132, 7833, 8987, 274, 267, 274, 3418, 3698, 4351, 14729, 3890, 2433, 1477, 825, 2132, 7833, 8987, 273, 267, 273, 10142, 3698, 1648, 6958, 4233, 630, 323, 21328, 267, 570, 264, 2433, 1477, 825, 2132, 1163, 8987, 323, 21328, 20081, 10142, 258, 30976, 1125, 519, 4358, 1535, 11971, 543, 8516, 1599, 1477, 343, 815, 4351, 13448, 14052, 344, 815, 4351, 14729, 14052, 325, 5893, 318, 9690, 815, 8516, 6958, 4233, 3287, 11971, 3418, 325, 5893, 10734, 652, 815, 8516, 318, 9690, 5897, 258, 3553, 2837, 693, 4358, 543, 10678, 1477, 307, 318, 11034, 815, 476, 1220, 1822, 1822, 1822, 1477, 307, 6958, 514, 880, 815, 476, 271, 269, 1822, 9826, 1477, 290, 944, 532, 31948, 815, 476, 271, 269, 15886, 280, 1948, 3553, 519, 9023, 2557, 476, 5897, 12895, 6958, 5893, 318, 13440, 867, 17342, 316, 1948, 1721, 9494, 1655, 8516, 2164, 5897, 258, 1492, 1982, 786, 960, 2394, 4358, 2837, 10301, 18138, 2837, 1477, 6112, 570, 318, 11034, 3436, 570, 6958, 514, 880, 2433, 1477, 825, 1948, 3553, 1007, 2418, 14477, 1477, 825, 1535, 815, 4351, 13448, 3890, 21506, 825, 586, 815, 4351, 14729, 3890, 21506, 825, 8516, 318, 2908, 815, 8516, 6958, 4233, 3287, 267, 586, 3418, 825, 952, 8516, 318, 2908, 2999, 8516, 318, 9690, 2433, 1477, 1038, 1948, 604, 1007, 8516, 1599, 568, 1507, 523, 982, 1699, 1535, 543, 586, 786, 1491, 1007, 2418, 1477, 1038, 1535, 318, 9690, 815, 1535, 1477, 1038, 586, 318, 9690, 815, 586, 1477, 1038, 8516, 318, 9690, 815, 8516, 318, 2908, 1477, 1038, 8516, 10734, 652, 815, 8516, 318, 2908, 1477, 825, 3116, 6769, 1038, 681, 815, 4351, 14052, 1038, 546, 292, 284, 325, 5893, 318, 2908, 1922, 5893, 318, 9690, 1477, 1038, 952, 1648, 6958, 4233, 5560, 292, 267, 570, 318, 11034, 264, 3436, 681, 2433, 1477, 2018, 1535, 318, 9690, 815, 1535, 1477, 2018, 586, 318, 9690, 815, 586, 1477, 2018, 8516, 318, 9690, 815, 8516, 318, 2908, 1477, 2018, 8516, 10734, 652, 815, 8516, 318, 2908, 1477, 825, 570, 318, 11034, 2608, 284, 15346, 532, 31948, 1948, 26303, 2837, 676, 9023, 2557, 1477, 825, 1655, 6958, 5893, 318, 13440, 867, 6910, 6600, 5893, 10734, 652, 264, 1948, 338, 1511, 1007, 1655, 8516, 1267, 1477, 24541, 2745, 9497, 343, 815, 14307, 1535, 318, 9690, 267, 834, 344, 815, 14307, 586, 318, 9690, 3418, 2745, 9497, 16032, 24524, 815, 14307, 8516, 10734, 652, 10142, 10823, 19502, 6357, 652, 6958, 5893, 318, 13440, 867, 10142, 338, 1511, 339, 868, 3488, 11907, 275, 27406, 3299, 1655, 6958, 5893, 318, 13440, 867, 314, 272, 15311, 5611, 271, 3910, 1642, 574, 3438, 284, 3299, 10807 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1007, 1004, 267, 3615, 267, 543, 5054, 543, 9319, 2942, 2833, 568, 1898, 1282, 713, 3942, 563, 15900, 2090, 2303, 602, 29067, 711, 6534, 547, 3425, 949, 1020, 513, 8628, 4250, 3210, 269, 901, 1223, 1267, 538, 606, 17418, 547, 1106, 3339, 3347, 609, 3425, 952, 519, 21937, 18387, 1406, 1044, 5189, 547, 3425, 1354, 519, 2085, 540, 476, 1691, 4374, 263, 1692, 749, 1696, 620, 1421, 476, 1001, 276, 1916, 17315, 8736, 1974, 630, 274, 268, 277, 3275, 2187, 303, 6269, 625, 1995, 4028, 2168, 543, 24040, 2242, 1282, 519, 11174, 1974, 267, 865, 23918, 1058, 1445, 593, 3246, 2085, 29003, 9162, 543, 2238, 602, 3895, 3635, 267, 1404, 267, 543, 2790, 14242, 269, 1635, 1631, 267, 29067, 723, 1831, 3222, 540, 1018, 568, 543, 3884, 1406, 2922, 267, 865, 789, 1810, 1406, 1397, 7920, 4250, 6114, 547, 1169, 1007, 17003, 630, 684, 3697, 1282, 519, 2038, 1514, 5314, 1974, 1916, 31339, 13341, 1282, 519, 11174, 1974, 4043, 547, 723, 2318, 1279, 3856, 2360, 593, 7180, 267, 971, 607, 2799, 4205, 609, 3425, 543, 513, 811, 7768, 1629, 6756, 712, 563, 3849, 3421, 1417, 1974, 630, 277, 268, 2190, 3275, 2187, 3849, 3421, 12412, 568, 519, 5912, 1974, 607, 29067, 9921, 883, 2937, 5243, 269, 2037, 5341, 618, 1282, 713, 3942, 1058, 1445, 593, 3246, 4797, 2866, 543, 1514, 5314, 3255, 602, 948, 29067, 1020, 883, 1134, 14194, 3286, 539, 2937, 5243, 269, 11242, 971, 607, 24150, 2866, 267, 22231, 267, 543, 4359, 11015, 9162, 666, 1683, 2790, 543, 2168, 14242, 547, 12927, 2318, 19326, 563, 5319, 5341, 618, 585, 9972, 5243, 454, 2005, 779, 1271, 547, 3314, 602, 23918, 3884, 1406, 1152, 2629, 538, 29067, 267, 855, 621, 779, 849, 2556, 585, 519, 1134, 5630, 540, 9972, 5243, 269, 1306, 938, 5243, 2085, 267, 789, 2253, 547, 1995, 513, 7771, 538, 741, 2168, 543, 5042, 5759, 269, 2986, 1576, 267, 713, 568, 1175, 513, 3339, 851, 540, 30333, 267, 855, 4620, 3237, 1058, 1491, 606, 3742, 1909, 538, 5885, 741, 10130, 269, 1306, 519, 6031, 4422, 267, 968, 604, 596, 1810, 1406, 946, 621, 267, 596, 6336, 621, 3034, 763, 9972, 1296, 4043, 547, 2253, 1063, 476, 277, 268, 1015, 1296, 540, 2085, 267, 609, 3677, 14981, 30333, 811, 3533, 269, 16480, 267, 9972, 5243, 849, 4324, 689, 23918, 543, 991, 547, 581, 9308, 543, 15508, 25623, 269, 11242, 899, 9543, 15211, 267, 10977, 267, 543, 9168, 3756, 666, 979, 513, 1279, 1259, 547, 1832, 873, 9308, 3742, 267, 2226, 4745, 1072, 267, 543, 2087, 741, 9025, 1599, 563, 28274, 5042, 23918, 454, 290, 4321, 21619, 10818, 15540, 630, 7374, 306, 264, 568, 513, 14715, 4524, 602, 5540, 476, 1691, 260, 547, 476, 10463, 260, 540, 9972, 5243, 543, 568, 2147, 547, 12110, 538, 3425, 269, 898, 779, 3335, 3361, 676, 519, 23979, 540, 2634, 2281, 538, 30333, 5243, 543, 666, 3648, 1764, 741, 5042, 5759, 543, 7180, 269, 769, 1034, 2665, 267, 7131, 306, 3788, 3768, 328, 30938, 630, 1156, 576, 519, 2647, 9860, 2039, 7074, 1657, 1916, 288, 1353, 3370, 676, 634, 1977, 27259, 6481, 5948, 1336, 602, 23918, 2553, 4389, 519, 11144, 540, 7131, 306, 538, 9972, 5243, 21759, 476, 279, 1296, 540, 2085, 269, 1358, 5631, 5059, 593, 5042, 23918, 2409, 538, 713, 1353, 9967, 540, 2241, 2318, 15699, 1700, 22372, 2866, 540, 1007, 10291, 630, 7945, 607, 1688, 13389, 267, 3750, 3346, 267, 543, 24060, 1964, 1070, 607, 1134, 607, 4205, 609, 1585, 23918, 3688, 899, 7317, 1426, 9162, 263, 302, 262, 289, 6929, 267, 476, 1708, 272, 1916, 28274, 9422, 23918, 454, 2005, 1058, 849, 581, 7074, 602, 9422, 23918, 814, 6707, 6462, 5042, 7771, 538, 9972, 5243, 269, 15380, 267, 1426, 13410, 616, 1031, 547, 12404, 513, 1521, 543, 948, 707, 2915, 4019, 741, 2596, 12823, 547, 1265, 519, 1521, 269, 901, 666, 581, 2417, 4824, 676, 4946, 6225, 2428, 15869, 11472, 338, 602, 1489, 5042, 1072, 3079, 540, 513, 13598, 1521, 563, 2690, 1383, 267, 513, 2487, 1353, 3370, 538, 13571, 4536, 540, 27259, 3163, 1336, 602, 21455, 540, 667, 11190, 15060, 268, 274, 9761, 7408, 543, 838, 3107, 30649, 1749, 547, 9972, 5243, 8995, 609, 7131, 306, 3648, 4824, 741, 2324, 3965, 269, 634, 2126, 729, 5645, 856, 585, 3670, 3275, 543, 4553, 909, 609, 18909, 2079, 602, 7000, 2799, 28882, 27914, 22965, 600, 622, 543, 22965, 8533, 630, 1410, 31842, 2218, 30088, 264, 538, 5243, 5701, 609, 2428, 15869, 11472, 338, 267, 3448, 547, 21897, 10490, 571, 340, 14765, 1696, 620, 1421, 476, 1708, 273, 1916, 2521, 938, 26467, 543, 1773, 636, 547, 948, 609, 713, 2336, 7212, 621, 779, 1455, 585, 5243, 547, 723, 5042, 7771, 607, 789, 2085, 267, 513, 1906, 2241, 8192, 11941, 666, 723, 513, 1713, 1909, 538, 5885, 2634, 1599, 269, 769, 1840, 547, 14434, 543, 15060, 9761, 7408, 602, 649, 4076, 3769, 538, 938, 7454, 773, 7594, 547, 13827, 267, 649, 4076, 4481, 19775, 938, 9972, 1750, 9749, 543, 15988, 797, 3282, 11100, 609, 1808, 2428, 15869, 11472, 338, 602, 1489, 5042, 1599, 538, 5243, 540, 782, 6502, 563, 2791, 666, 2760, 1376, 1932, 2038, 950, 621, 2501, 547, 2634, 1072, 2336, 16032, 773, 18947, 9910, 1072, 1750, 9749, 267, 616, 14095, 609, 22800, 1379, 5820, 547, 948, 8488, 2790, 7771, 538, 707, 9972, 2915, 563, 2026, 327, 568, 513, 8225, 18915, 2875, 4974, 538, 23886, 807, 269, 6969, 14045, 547, 1831, 513, 17022, 267, 12891, 6192, 1010, 27587, 4110, 693, 519, 2160, 2986, 5375, 14411, 1141, 646, 7463, 538, 2860, 6565, 2281, 1382, 269, 4595, 1287, 267, 646, 779, 1044, 2324, 607, 513, 18915, 27637, 543, 814, 2027, 4690, 538, 3662, 6484, 543, 10551, 5773, 2336, 8266, 540, 8100, 454, 288, 571, 340, 14765, 267, 808, 269, 589, 1421, 21540, 541, 571, 267, 590, 1421, 21780, 525, 267, 808, 1421, 21537, 529, 267, 589, 1421, 15588, 338, 267, 631, 1421, 634, 341, 1046, 684, 6773, 267, 590, 1421, 1299, 6660, 13559, 267, 715, 269, 654, 269, 630, 1708, 273, 1040, 590, 874, 532, 30649, 1749, 543, 667, 11190, 13724, 15465, 4347, 545, 1080, 538, 589, 3022, 2142, 14410, 17268, 269, 13571, 966, 564, 2233, 267, 476, 280, 267, 476, 5038, 277, 26493, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 24783, 280, 11721, 557, 1206, 269, 1708, 273, 269, 5038, 277, 26493, 454, 1692, 749, 267, 570, 269, 808, 1421, 3751, 267, 570, 1421, 1299, 26999, 9116, 267, 623, 269, 595, 269, 630, 1001, 276, 1040, 28523, 344, 6105, 543, 3564, 281, 519, 1909, 540, 2038, 2085, 1514, 5314, 2853, 593, 2937, 2915, 2623, 269, 966, 564, 2405, 630, 288, 3089, 331, 1070, 476, 277, 267, 476, 16960, 268, 14631, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 20969, 278, 270, 309, 17307, 305, 2529, 30663, 10037, 454, 296, 330, 684, 334, 267, 590, 269, 630, 2735, 280, 1040, 1496, 14946, 618, 540, 21400, 4099, 693, 5912, 1974, 689, 647, 9535, 547, 21400, 4940, 1744, 18223, 1744, 1731, 698, 27495, 2098, 817, 6062, 267, 476, 2767, 263, 274, 1070, 476, 276, 4817, 268, 2568, 277, 563, 302, 262, 289, 6929, 267, 631, 269, 700, 1421, 4173, 1258, 267, 631, 269, 661, 1421, 8055, 267, 589, 269, 631, 1421, 1299, 589, 541, 5886, 267, 570, 269, 918, 269, 630, 1708, 272, 1040, 12186, 540, 513, 2185, 22173, 1895, 1362, 2813, 585, 5243, 693, 2547, 5216, 1296, 540, 2085, 593, 519, 1646, 543, 11144, 540, 4191, 540, 5042, 14524, 6794, 269, 4750, 540, 519, 1977, 27259, 6481, 5948, 267, 476, 28796, 263, 277, 1070, 476, 277, 4391, 268, 5038, 274, 269, 4179, 2517, 8742, 3820, 270, 10059, 2517, 8742, 3820, 270, 1015, 269, 26727, 271, 10768, 822, 2742, 269, 28796, 269, 277, 269, 277, 4391, 0, 763, 8109, 9791, 12704, 568, 513, 8289, 547, 581, 2938, 609, 922, 6505, 4544, 17207, 543, 15309, 344, 17987, 269, 4014, 930, 1004, 2015, 891, 5017, 547, 581, 4686, 267, 789, 3335, 1589, 602, 1317, 519, 8109, 9791, 12704, 10355, 11564, 6177, 29650, 563, 13981, 519, 8109, 9791, 12704, 1289, 786, 948, 596, 547, 1265, 891, 5017, 950, 1866, 5749, 1406, 3168, 585, 873, 563, 292, 6141, 9791, 12704, 14576, 338, 543, 595, 3201, 11862, 912, 268, 5269, 2386, 547, 2046, 623, 6369, 312, 593, 519, 8301, 6119, 2630, 269, 9462, 30904, 454, 306, 5495, 21254, 1948, 272, 281, 631, 2297, 2782, 17331, 14576, 454, 23777, 1227, 23475, 676, 519, 9038, 267, 713, 476, 272, 268, 274, 7074, 5152, 568, 1031, 585, 513, 3099, 540, 8090, 538, 606, 8109, 9791, 12704, 779, 1272, 269, 634, 1292, 2601, 513, 5256, 521, 902, 713, 2112, 1076, 568, 547, 4482, 513, 19898, 563, 288, 5256, 949, 849, 2206, 513, 29779, 4528, 547, 1010, 19898, 1247, 1352, 23933, 5798, 563, 7661, 267, 513, 4775, 786, 2206, 513, 554, 1513, 615, 4528, 540, 713, 2206, 952, 11975, 616, 4092, 538, 519, 1858, 563, 306, 5495, 21254, 1948, 273, 281, 968, 14654, 8584, 32734, 324, 7536, 763, 1289, 596, 786, 2693, 946, 547, 1265, 8109, 9791, 18346, 568, 741, 968, 14654, 8584, 32734, 324, 892, 1289, 269, 9717, 1032, 5180, 267, 713, 9425, 2110, 1289, 568, 1031, 547, 5968, 609, 824, 4544, 18346, 563, 763, 968, 14654, 8584, 32734, 324, 892, 1289, 666, 581, 1031, 547, 24633, 824, 8109, 9791, 18346, 602, 789, 616, 3478, 1932, 2673, 269, 898, 666, 849, 581, 1031, 676, 3237, 547, 5365, 789, 616, 13059, 547, 519, 9566, 609, 1426, 563, 306, 5495, 21254, 1948, 274, 968, 577, 527, 7302, 527, 7302, 527, 7536, 5194, 8109, 9791, 12704, 1289, 568, 713, 2864, 2241, 669, 527, 3280, 269, 901, 666, 581, 1031, 538, 1079, 1114, 2081, 269, 589, 4775, 949, 946, 513, 2571, 3280, 532, 669, 527, 950, 513, 1330, 1154, 5256, 568, 7404, 269, 898, 666, 849, 581, 1031, 676, 8401, 5017, 950, 513, 23246, 568, 16042, 563, 7661, 267, 606, 8109, 9791, 12704, 949, 804, 871, 922, 3915, 693, 596, 610, 11975, 267, 610, 824, 5017, 10024, 922, 8513, 269, 1358, 786, 1256, 4685, 10514, 538, 606, 3801, 547, 29057, 1055, 519, 11371, 31335, 563, 5970, 596, 4862, 519, 7125, 543, 4992, 540, 606, 8109, 9791, 12704, 1354, 888, 2252, 865, 267, 5225, 1577, 721, 917, 2630, 256, 0, 8310, 3525, 1881, 281, 5437, 476, 1839, 267, 476, 1708, 274, 1923, 15618, 281, 4989, 476, 1556, 267, 476, 1708, 274, 454, 1432, 568, 15465, 10163, 31382, 888, 290, 4321, 1964, 31382, 568, 513, 1259, 547, 4001, 2576, 547, 4161, 2942, 4555, 602, 616, 711, 3020, 563, 5978, 4555, 1860, 875, 649, 1745, 827, 6000, 269, 20134, 4555, 666, 1118, 721, 1745, 3983, 269, 15465, 1964, 31382, 568, 513, 1259, 547, 4161, 2942, 4555, 602, 5749, 1406, 1759, 593, 4641, 269, 4495, 649, 8275, 789, 616, 711, 3020, 267, 649, 1419, 1745, 1732, 827, 6000, 563, 1692, 15465, 10163, 31382, 2052, 6435, 2659, 4132, 454, 290, 4321, 1964, 31382, 666, 948, 707, 1126, 2087, 741, 1582, 12635, 543, 2790, 1072, 563, 290, 4321, 1964, 31382, 2337, 707, 1126, 1294, 519, 4276, 1063, 741, 4555, 543, 4606, 269, 1358, 666, 1451, 547, 4161, 2942, 4555, 602, 5749, 1406, 3020, 269, 634, 4480, 2501, 689, 15465, 19884, 10657, 630, 30274, 1070, 799, 568, 606, 2963, 2861, 3797, 1505, 563, 20055, 707, 1126, 856, 540, 3206, 20637, 454, 1320, 9722, 20637, 616, 2942, 4555, 602, 5749, 1406, 3020, 855, 2014, 513, 2603, 540, 11605, 563, 9827, 1572, 5042, 1253, 25344, 267, 891, 2942, 4555, 616, 711, 1759, 593, 4641, 269, 1323, 1383, 1131, 581, 513, 1126, 17528, 513, 1153, 1449, 543, 3206, 602, 713, 835, 5821, 1797, 789, 786, 2760, 8011, 563, 290, 4321, 1253, 25344, 616, 4625, 3339, 269, 15526, 814, 891, 3206, 3270, 269, 1717, 267, 621, 568, 1134, 4502, 519, 4674, 547, 960, 593, 873, 1317, 891, 4555, 666, 798, 513, 2603, 540, 3441, 547, 707, 1126, 779, 1582, 12635, 543, 2790, 1072, 563, 1692, 547, 2422, 15465, 10163, 31382, 693, 5851, 454, 290, 4321, 1964, 31382, 666, 581, 2944, 693, 1753, 269, 1411, 666, 948, 707, 1126, 1174, 741, 1378, 3206, 3270, 543, 6218, 873, 811, 3927, 269, 634, 942, 547, 946, 5042, 1964, 31382, 693, 1753, 568, 950, 707, 1126, 814, 513, 1582, 12635, 1966, 610, 7646, 4160, 269, 2422, 6435, 9288, 595, 1228, 344, 547, 2263, 875, 5042, 1964, 31382, 666, 948, 707, 1808, 3510, 609, 707, 1126, 563, 2080, 568, 606, 1383, 540, 875, 547, 948, 707, 1126, 609, 5042, 1964, 31382 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 268, 347, 2525, 27784, 263, 25223, 510, 414, 499, 511, 414, 499, 362, 25223, 510, 3738, 5073, 2018, 1948, 11687, 532, 1599, 454, 2018, 1948, 8873, 1219, 2658, 9131, 8234, 23300, 825, 3116, 912, 1038, 1820, 3488, 24001, 859, 12184, 8339, 8971, 263, 1278, 318, 16651, 4917, 1038, 1820, 3488, 263, 3331, 496, 396, 498, 383, 497, 264, 414, 488, 481, 334, 268, 347, 2525, 27784, 31330, 284, 15770, 284, 15770, 284, 18077, 490, 263, 9745, 268, 317, 264, 427, 378, 487, 5073, 1038, 30429, 9131, 14141, 11172, 815, 3193, 263, 3430, 871, 518, 9131, 14141, 11172, 910, 476, 1015, 267, 476, 271, 9239, 3698, 12115, 263, 6921, 14508, 1807, 267, 2012, 2187, 825, 952, 1350, 14508, 1807, 9131, 14141, 11172, 3436, 476, 271, 912, 1038, 1350, 14508, 1807, 9131, 8234, 11172, 815, 1295, 18692, 2018, 1350, 14508, 1807, 9131, 8234, 11172, 1341, 703, 263, 6921, 14508, 1807, 9131, 14141, 11172, 2608, 476, 271, 269, 3199, 1070, 476, 1911, 994, 1038, 1350, 14508, 1807, 9131, 14141, 11172, 20699, 1350, 14508, 1807, 9131, 14141, 23300, 1038, 1820, 3488, 24001, 26583, 513, 1494, 542, 8339, 8971, 28442, 4917, 1038, 1820, 3488, 28949, 1547, 265, 6661, 314, 27426, 317, 316, 5073, 1038, 1948, 11687, 532, 1599, 454, 1038, 1948, 8873, 1350, 14508, 1807, 9131, 8234, 23300, 825, 3116, 912, 1038, 1820, 18692, 2018, 1412, 24001, 13986, 547, 4235, 513, 1494, 542, 855, 7948, 32075, 339, 7181, 621, 14826, 257, 305, 720, 2838, 257, 23823, 2018, 3898, 28442, 4917, 1038, 1820, 3488, 263, 4113, 396, 498, 4113, 264, 5073, 1038, 1948, 11687, 532, 1599, 454, 1038, 1948, 8873, 1412, 11900, 11211, 30270, 262, 7531, 3698, 15155, 2457, 263, 3430, 871, 518, 267, 1219, 2658, 267, 6345, 267, 824, 318, 16651, 2187, 825, 952, 30429, 9131, 14141, 11172, 2652, 476, 1911, 912, 1038, 6111, 815, 28219, 842, 263, 272, 267, 476, 1911, 994, 1038, 952, 6111, 3436, 1219, 2658, 9131, 5271, 5235, 11172, 1341, 476, 1839, 912, 2018, 1219, 2658, 9131, 8234, 11172, 815, 3193, 263, 3698, 2658, 9131, 8234, 11172, 910, 476, 2004, 267, 476, 271, 994, 2018, 30429, 9131, 14141, 11172, 815, 476, 271, 454, 2018, 1820, 18692, 3546, 1412, 24001, 25793, 14414, 3710, 5346, 30270, 267, 4682, 593, 513, 19856, 3042, 543, 16094, 13676, 15079, 23823, 3546, 3898, 263, 16651, 267, 824, 318, 16651, 4917, 2018, 1820, 3488, 257, 24001, 18808, 476, 2004, 20336, 294, 257, 8339, 8971, 263, 16651, 4917, 2018, 1820, 2891, 27818, 414, 499, 363, 4113, 16123, 350, 11019, 24724, 414, 499, 363, 19909, 369, 27818, 1547, 334, 269, 24724, 15419, 1038, 3116, 912, 2018, 30429, 9131, 14141, 11172, 815, 476, 271, 454, 2018, 1820, 18692, 3546, 1412, 24001, 13986, 547, 979, 593, 513, 15155, 2457, 855, 2468, 5529, 543, 3068, 680, 5896, 23823, 3546, 3898, 263, 16651, 4917, 2018, 1820, 3488, 263, 258, 282, 268, 282, 264, 5073, 825, 3116, 912, 1038, 1820, 18692, 2018, 1412, 24001, 13986, 547, 979, 593, 513, 15155, 2457, 855, 7012, 32075, 339, 14220, 2614, 14826, 257, 1911, 681, 720, 2838, 257, 23823, 2018, 3898, 263, 16651, 4917, 1038, 1820, 3488, 382, 363, 18386, 263, 334, 27984, 264, 318, 270, 382, 363, 262, 9239, 3698, 568, 318, 1372, 611, 263, 6921, 14508, 1807, 2187, 825, 2132, 1350, 14508, 1807, 9131, 8234, 11172, 2652, 476, 271, 7531, 3698, 859, 8172, 263, 6921, 14508, 1807, 267, 2012, 2187, 825, 952, 1350, 14508, 1807, 9131, 14141, 11172, 13843, 476, 2412, 912, 1038, 1350, 14508, 1807, 9131, 5271, 5235, 11172, 6834, 476, 3393, 454, 1038, 1350, 14508, 1807, 9131, 14141, 11172, 815, 1350, 14508, 1807, 9131, 14141, 11172, 910, 476, 2412, 454, 1038, 1820, 3488, 24001, 568, 859, 8172, 8339, 8971, 28442, 4917, 1038, 1820, 3488, 15770, 284, 15770, 284, 15770, 284, 18077, 490, 263, 522, 27984, 264, 427, 378, 487, 17210, 825, 3116, 912, 1038, 1820, 18692, 2018, 1412, 24001, 13986, 547, 859, 1228, 855, 2468, 5529, 936, 513, 890, 321, 1076, 14826, 257, 2412, 681, 720, 2838, 23823, 2018, 3898, 28442, 4917, 1038, 1820, 3488, 269, 19909, 369, 1315, 263, 269, 16123, 350, 1547, 1422, 264, 5073, 0, 258, 280, 268, 277, 1477, 5035, 31777, 656, 28399, 825, 1219, 6449, 8181, 9191, 1345, 267, 6135, 4768, 656, 12173, 22698, 10392, 25292, 8029, 1038, 1582, 269, 6135, 4768, 656, 12173, 815, 13962, 12173, 1477, 1038, 1582, 6983, 10392, 25292, 815, 11951, 25292, 1477, 825, 1219, 4766, 318, 6135, 4768, 656, 4311, 8029, 1038, 1820, 2891, 763, 2012, 568, 281, 834, 266, 1345, 269, 6135, 4768, 656, 12173, 26644, 3890, 3418, 1038, 1820, 2891, 763, 1826, 568, 281, 834, 266, 1345, 6983, 10392, 25292, 26644, 3890, 3418, 825, 1219, 1930, 318, 6135, 4768, 656, 4311, 8029, 1038, 1820, 2891, 763, 13962, 568, 6679, 10590, 3418, 5035, 10979, 290, 3195, 18184, 27562, 652, 4768, 656, 8029, 825, 1219, 6449, 8181, 9191, 1345, 267, 6135, 4768, 656, 12173, 22698, 10392, 25292, 8029, 672, 2706, 14061, 1029, 8181, 9191, 6135, 4768, 656, 12173, 22698, 10392, 25292, 3418, 672, 1582, 269, 4148, 822, 832, 815, 18358, 20625, 12887, 3316, 3570, 12887, 701, 541, 12887, 701, 778, 11172, 1477, 825, 1219, 1397, 318, 823, 920, 600, 4311, 8029, 1038, 585, 8137, 538, 1582, 269, 4148, 822, 832, 6769, 2018, 1820, 263, 4148, 2948, 3418, 823, 920, 600, 815, 10979, 290, 3195, 18184, 3488, 327, 7026, 12887, 8117, 614, 10807, 1948, 10254, 507, 417, 356, 489, 25060, 500, 1477, 823, 920, 600, 20481, 318, 823, 920, 600, 14052, 258, 280, 268, 278, 1477, 5035, 14871, 28399, 825, 1219, 6449, 8181, 9191, 1345, 267, 14140, 12173, 267, 18431, 12173, 267, 720, 267, 324, 8548, 841, 8029, 1038, 1582, 8807, 1009, 12173, 815, 1101, 12173, 1477, 1038, 1582, 16096, 12173, 815, 2063, 12173, 1477, 1038, 1582, 269, 720, 815, 2085, 1477, 1038, 1582, 4318, 8548, 841, 815, 552, 8548, 841, 1477, 825, 1219, 4766, 318, 12528, 4311, 8029, 1038, 1820, 2891, 763, 2012, 568, 281, 834, 266, 1345, 8807, 1009, 12173, 26644, 3890, 266, 257, 834, 266, 1345, 16096, 12173, 26644, 3890, 266, 257, 1701, 3418, 1038, 1820, 2891, 763, 2085, 568, 281, 834, 266, 1345, 269, 720, 3418, 1038, 1820, 2891, 763, 661, 8548, 841, 568, 281, 834, 266, 1345, 4318, 8548, 841, 3418, 825, 1219, 1390, 318, 12528, 4311, 8029, 1038, 1820, 2891, 14188, 596, 585, 713, 3406, 10590, 3418, 5035, 1520, 2381, 263, 27165, 8029, 825, 1219, 6449, 8181, 9191, 1345, 267, 14140, 12173, 267, 18431, 12173, 267, 720, 267, 324, 8548, 841, 8029, 1038, 2706, 14061, 1029, 8181, 9191, 14140, 12173, 267, 18431, 12173, 267, 720, 267, 324, 8548, 841, 3418, 1038, 1582, 269, 1440, 643, 850, 2471, 815, 18358, 4754, 1039, 2022, 12887, 4754, 18419, 2022, 12887, 4754, 7333, 3593, 11172, 1477, 825, 1219, 1397, 318, 1440, 643, 850, 2471, 4311, 8029, 1038, 1820, 2891, 763, 14721, 518, 814, 1739, 2924, 281, 14744, 1038, 585, 17979, 538, 1582, 269, 1440, 643, 850, 2471, 6769, 2018, 1820, 263, 1440, 643, 850, 613, 3418, 611, 2381, 815, 1520, 2381, 3488, 23932, 12887, 339, 574, 12887, 1240, 12887, 11277, 287, 336, 336, 2593, 20298, 611, 2381, 20481, 318, 1440, 643, 850, 2471, 14052, 258, 280, 268, 279, 1477, 5035, 14871, 28399, 825, 1219, 6449, 8181, 9191, 1345, 267, 14140, 12173, 267, 18431, 12173, 267, 720, 267, 324, 8548, 841, 8029, 1038, 1582, 8807, 1009, 12173, 815, 1101, 12173, 1477, 1038, 1582, 16096, 12173, 815, 2063, 12173, 1477, 1038, 1582, 269, 720, 815, 2085, 1477, 1038, 1582, 4318, 8548, 841, 815, 552, 8548, 841, 1477, 825, 1219, 4766, 318, 12528, 4311, 8029, 1038, 1820, 2891, 763, 2012, 568, 281, 834, 266, 1345, 8807, 1009, 12173, 26644, 3890, 266, 257, 834, 266, 1345, 16096, 12173, 26644, 3890, 266, 257, 1701, 3418, 1038, 1820, 2891, 763, 2085, 568, 281, 834, 266, 1345, 269, 720, 3418, 1038, 1820, 2891, 763, 661, 8548, 841, 568, 281, 834, 266, 1345, 4318, 8548, 841, 3418, 825, 1219, 1390, 318, 12528, 4311, 8029, 1038, 1820, 2891, 14188, 596, 585, 713, 3406, 10590, 3418, 5035, 17658, 850, 2471, 28399, 825, 1219, 6449, 8181, 9191, 1345, 8029, 1038, 1582, 269, 1440, 643, 850, 2471, 815, 18358, 4754, 1039, 2022, 12887, 4754, 18419, 2022, 12887, 4754, 7333, 3593, 11172, 1477, 825, 1219, 1397, 318, 1440, 643, 850, 2471, 4311, 8029, 1038, 1820, 2891, 763, 14721, 518, 814, 1739, 2924, 281, 14744, 1038, 585, 17979, 538, 1582, 269, 1440, 643, 850, 2471, 6769, 2018, 1820, 263, 1440, 643, 850, 613, 3418, 5035, 1520, 2381, 263, 27165, 8029, 825, 1219, 6449, 8181, 9191, 1345, 267, 14140, 12173, 267, 18431, 12173, 267, 720, 267, 324, 8548, 841, 8029, 1038, 2706, 14061, 1029, 8181, 9191, 14140, 12173, 267, 18431, 12173, 267, 720, 267, 324, 8548, 841, 3418, 1038, 1582, 269, 1440, 643, 850, 2471, 815, 17658, 850, 2471, 14052, 611, 2381, 815, 1520, 2381, 3488, 23932, 12887, 339, 558, 12887, 736, 12887, 27174, 287, 336, 336, 2593, 20298, 611, 2381, 269, 1440, 643, 850, 2471, 20481, 318, 1440, 643, 850, 2471, 14052, 258, 280, 268, 280, 1477, 5035, 2961, 28399, 825, 1219, 6449, 8181, 9191, 1345, 267, 24708, 267, 16347, 11971, 792, 8029, 1038, 1582, 6230, 820, 815, 1118, 1477, 1038, 1582, 6230, 617, 601, 815, 2203, 1477, 1038, 1582, 13885, 792, 815, 1032, 1477, 1038, 1582, 269, 617, 10309, 318, 15105, 815, 476, 271, 1477, 825, 1219, 1205, 5091, 525, 20696, 12173, 4311, 8029, 1038, 1279, 12173, 815, 1193, 4311, 13885, 792, 11924, 257, 834, 266, 1345, 6230, 820, 266, 257, 834, 266, 1345, 6230, 617, 601, 1477, 1038, 2132, 1279, 12173, 26644, 14052, 825, 1219, 1224, 318, 617, 10309, 4311, 31599, 850, 720, 8029, 1038, 1820, 2891, 1607, 1286, 814, 834, 266, 1598, 4311, 269, 617, 10309, 318, 15105, 11924, 257, 332, 850, 593, 621, 1701, 3418, 825, 1219, 9337, 318, 617, 10309, 4311, 267, 13304, 720, 8029, 1038, 952, 13304, 720, 13843, 1582, 269, 617, 10309, 318, 15105, 6769, 1363, 1582, 269, 617, 10309, 318, 15105, 815, 13304, 720, 1477, 1038, 3116, 6769, 1363, 1820, 2891, 2791, 666, 711, 5066, 1394, 606, 5212, 10309, 10590, 10142, 825, 1219, 27261, 318, 617, 10309, 4311, 31599, 3796, 8029, 1038, 1582, 269, 617, 10309, 318, 15105, 6834, 5195, 1477, 5035, 23996, 28399, 825, 1219, 6449, 8181, 9191, 1345, 14720, 19495, 15481, 284, 3583, 8029, 1038, 1582, 12500, 19495, 15481, 815, 6007, 15481, 1477, 825, 1219, 1205, 318, 9792, 4311, 8029, 1038, 952, 1582, 12500, 19495, 15481, 2652, 476, 3583, 6769, 2018, 2039, 815, 476, 13301, 1477, 1038, 8640, 1582, 12500, 19495, 15481, 2652, 5952, 6769, 2018, 2039, 815, 17734, 1477, 1038, 5048, 815, 834, 1607, 1286, 666, 979, 5111, 834, 266, 1598, 263, 9792, 3418, 1038, 5048, 6834, 834, 332, 3796, 593, 513, 2407, 5279, 29177, 1038, 1820, 9852, 20687, 3418, 825, 1219, 4766, 10734, 19495, 4311, 8029, 1038, 1820, 2891, 1607, 1286, 814, 513, 834, 266, 1598, 4311, 12500, 19495, 11924, 27324, 330, 3369, 6007, 1701, 3418, 825, 1219, 18175, 516, 1228, 10734, 19495, 4311, 8029, 1038, 952, 1582, 12500, 19495, 15481, 11203, 476, 5952, 6769, 2018, 1582, 12500, 19495, 15481, 815, 476, 5952, 1477, 5035, 11272, 10111, 263, 10111, 8029, 825, 1219, 6449, 8181, 9191, 1345, 267, 24708, 267, 16347, 11971, 792, 8029, 11434, 2706, 14061, 1029, 8181, 9191, 24708, 267, 16347, 11971, 792, 3418, 11434, 1582, 12500, 19495, 815, 23996, 14052, 3240, 6831, 541, 815, 11272, 10111, 3488, 5052, 5055, 12887, 16347, 521, 12887, 1708, 271, 20298, 3240, 6831, 541, 12500, 19495, 10947, 318, 9792, 14052, 3240, 6831, 541, 12500, 19495, 269, 1575, 26572, 1228, 10734, 19495, 14052, 3240, 6831, 541, 12500, 19495, 10947, 318, 9792, 14052, 5897, 5897, 5897, 0, 5814, 795, 5459, 1477, 11133, 1499, 815, 1496, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 15947, 16344, 17575, 815, 1412, 11133, 1499, 12459, 5459, 262, 1477, 5976, 1930, 3488, 16344, 17575, 12887, 342, 10807, 553, 535, 318, 28128, 6769, 825, 795, 5459, 6155, 2794, 3799, 13246, 267, 325, 318, 28128, 3418, 258, 1015, 268, 1556, 1477, 5814, 795, 5459, 1477, 15893, 815, 3403, 2891, 6343, 568, 707, 5172, 1297, 286, 834, 3418, 16344, 17575, 318, 272, 815, 1412, 15893, 12459, 5459, 262, 1477, 5976, 1930, 3488, 16344, 17575, 318, 272, 12887, 342, 10807, 553, 535, 318, 272, 318, 28128, 6769, 825, 795, 5459, 6155, 2794, 28840, 267, 325, 318, 272, 318, 28128, 3418, 5976, 1930, 3488, 16344, 17575, 318, 272, 10807, 553, 535, 318, 1556, 318, 28128, 6769, 825, 15381, 815, 795, 5459, 269, 2903, 6600, 318, 1556 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2362, 1931, 9864, 12045, 9498, 692, 1070, 609, 3268, 3254, 269, 15531, 519, 19549, 14216, 29719, 269, 634, 9864, 12045, 9498, 593, 713, 1357, 2985, 21410, 519, 9864, 12045, 540, 707, 3403, 1540, 1599, 3090, 1227, 609, 513, 2780, 1062, 7223, 1062, 267, 782, 3297, 519, 10207, 269, 1403, 535, 476, 273, 595, 273, 27562, 273, 1070, 1287, 1152, 1614, 2034, 1931, 9864, 16755, 540, 535, 991, 547, 581, 17223, 538, 1931, 547, 917, 782, 2185, 540, 922, 2034, 1931, 9864, 16755, 269, 594, 6415, 5432, 609, 1210, 15243, 2103, 547, 1265, 1101, 9864, 16755, 267, 855, 711, 875, 547, 1265, 2362, 1931, 9864, 16755, 540, 1617, 21725, 17697, 3252, 269, 6423, 513, 2560, 2986, 1576, 267, 649, 666, 3136, 519, 1184, 540, 9864, 15285, 540, 9864, 16755, 547, 3489, 3791, 267, 8772, 267, 3092, 2507, 9864, 16755, 269, 15760, 297, 308, 24912, 2228, 9864, 12045, 9498, 1907, 2306, 519, 9819, 5488, 267, 543, 621, 10525, 519, 9864, 12045, 540, 513, 2016, 1599, 538, 513, 6824, 540, 7643, 269, 898, 2934, 513, 9864, 12045, 9498, 799, 666, 581, 1031, 607, 513, 12045, 24626, 543, 2034, 12045, 9498, 28560, 2838, 267, 596, 666, 849, 3442, 547, 5173, 2362, 1931, 16755, 269, 2791, 666, 849, 2070, 519, 3268, 1373, 4553, 547, 1265, 519, 12045, 540, 513, 1599, 269, 2671, 1923, 13712, 1923, 2087, 713, 2243, 1923, 1246, 1923, 4280, 5463, 476, 1724, 1412, 1626, 693, 476, 2420, 281, 4375, 269, 3487, 658, 14216, 29719, 18185, 568, 513, 1863, 2228, 1907, 602, 10525, 519, 9864, 12045, 585, 519, 2016, 1599, 269, 9502, 269, 7392, 538, 1022, 1599, 12045, 547, 1205, 519, 3070, 267, 3268, 543, 3113, 901, 3896, 3096, 12897, 547, 2327, 596, 1205, 519, 1655, 1995, 269, 1520, 4765, 2904, 476, 275, 267, 476, 1001, 276, 676, 29827, 322, 1301, 523, 336, 322, 538, 9119, 269, 589, 5618, 7650, 540, 2034, 9864, 12045, 267, 519, 15340, 540, 6404, 9864, 16755, 267, 543, 2362, 1931, 9864, 16755, 269, 634, 14216, 29719, 18185, 7028, 6061, 1101, 267, 2034, 2807, 267, 8772, 16755, 267, 607, 1134, 607, 17697, 15285, 543, 4466, 519, 21325, 270, 23085, 269, 476, 274, 269, 273, 14451, 11352, 3487, 658, 14216, 643, 2510, 1403, 535, 568, 513, 1599, 540, 1896, 4632, 267, 1287, 649, 666, 19509, 526, 2362, 1931, 9864, 338, 538, 519, 1739, 6073, 269, 901, 568, 513, 2034, 1931, 9864, 12045, 9498, 269, 3267, 519, 19106, 540, 2362, 19195, 676, 1790, 20094, 2501, 547, 581, 2182, 269, 589, 9864, 12045, 568, 513, 12045, 3144, 540, 513, 1599, 609, 2463, 547, 513, 1808, 4756, 269, 1215, 547, 1265, 2362, 1931, 9864, 12045, 540, 513, 1617, 21725, 1599, 5888, 286, 681, 1314, 1520, 320, 600, 681, 1314, 1520, 320, 600, 269, 2913, 781, 1413, 693, 606, 1383, 540, 4466, 513, 2362, 1931, 4287, 531, 12045, 269, 3502, 1152, 602, 267, 972, 616, 7864, 602, 1590, 581, 17223, 281, 11550, 25770, 300, 476, 274, 346, 1556, 269, 1717, 267, 519, 1599, 949, 2270, 811, 982, 476, 273, 4632, 269, 2433, 264, 4179, 2517, 4178, 4877, 11128, 517, 2593, 270, 6312, 4459, 329, 31198, 8206, 256, 6145, 513, 1906, 824, 1004, 723, 1767, 267, 16423, 1090, 347, 2704, 6495, 779, 32671, 14216, 29719, 18185, 568, 513, 1390, 11097, 1326, 585, 4466, 519, 1269, 333, 259, 628, 12045, 269, 1403, 535, 3287, 11971, 264, 568, 513, 1599, 540, 1079, 4632, 267, 1287, 3980, 480, 325, 3980, 480, 343, 543, 3980, 480, 325, 3980, 480, 344, 616, 849, 3252, 540, 1079, 4632, 543, 741, 9864, 338, 666, 581, 3144, 269, 27018, 20145, 3848, 476, 277, 281, 14216, 643, 2510, 543, 824, 2010, 540, 3252, 8791, 476, 274, 281, 14451, 1931, 9864, 16755, 8525, 476, 275, 12834, 14451, 1931, 9864, 16755, 666, 581, 17223, 1175, 607, 585, 8912, 16755, 269, 1215, 547, 946, 519, 3487, 658, 14216, 29719, 18185, 269, 14780, 1047, 24818, 547, 519, 1931, 540, 519, 9864, 12045, 630, 275, 585, 8772, 1931, 267, 476, 276, 585, 11359, 543, 865, 593, 1040, 3371, 568, 513, 1305, 540, 2259, 2042, 547, 13173, 519, 14451, 11352, 3487, 658, 14216, 643, 2510, 3296, 540, 519, 3487, 658, 14216, 643, 2510, 3184, 540, 519, 4967, 585, 6754, 29861, 9469, 20145, 8633, 1576, 693, 19681, 541, 2160, 269, 898, 781, 711, 4052, 547, 3314, 519, 12596, 585, 7384, 2362, 1931, 4287, 16755, 540, 513, 1599, 540, 1896, 4632, 1498, 269, 769, 513, 4090, 596, 786, 4309, 519, 9819, 1267, 269, 2986, 1576, 267, 649, 666, 1491, 1967, 1947, 2362, 1931, 4287, 531, 16755, 952, 649, 865, 3442, 269, 3824, 2362, 1931, 16755, 1454, 4443, 282, 649, 3580, 1100, 3476, 723, 547, 1832, 3950, 540, 519, 1931, 540, 7384, 9864, 16755, 269, 1411, 666, 849, 1205, 513, 1732, 3308, 543, 1620, 540, 519, 1599, 676, 1210, 938, 24275, 1907, 269, 634, 1599, 568, 513, 1617, 21725, 1599, 267, 799, 7363, 3568, 476, 273, 4632, 267, 1535, 543, 586, 269, 9105, 7726, 18542, 476, 273, 3275, 3516, 269, 1284, 666, 946, 891, 1482, 3741, 547, 1265, 1022, 2362, 19195, 12045, 269, 634, 4408, 609, 2463, 547, 799, 519, 15285, 568, 547, 581, 2944, 666, 849, 581, 2016, 607, 513, 1592, 540, 4408, 269, 16302, 4756, 907, 4475, 267, 9864, 16755, 616, 7229, 1210, 12596, 543, 3652, 585, 12719, 519, 16755, 540, 3252, 540, 835, 4756, 267, 1247, 10203, 519, 824, 4756, 607, 513, 3586, 269, 7392, 538, 513, 1599, 547, 4194, 1677, 1205, 3323, 267, 4283, 513, 1871, 540, 519, 1599, 543, 4945, 16938, 8138, 2466, 14872, 7735, 269, 5131, 12045, 9498, 910, 16174, 3252, 609, 782, 519, 3268, 269, 6201, 609, 26346, 10298, 593, 5822, 11352, 3487, 658, 14216, 643, 2510, 7151, 476, 272, 4855, 535, 1535, 343, 267, 535, 586, 344, 2016, 602, 535, 3287, 2073, 586, 264, 815, 5609, 630, 343, 586, 264, 8827, 535, 1535, 343, 949, 581, 7229, 607, 5205, 3962, 9864, 12045, 630, 2421, 1535, 543, 676, 586, 264, 540, 513, 1599, 540, 1079, 4632, 568, 606, 8723, 12045, 540, 513, 1599, 540, 835, 4756, 609, 513, 6378, 1871, 540, 519, 824, 4756, 269, 634, 14216, 29719, 18185, 814, 547, 3713, 891, 2665, 543, 7696, 519, 8691, 1129, 269, 589, 5618, 7650, 540, 2034, 9864, 12045, 267, 519, 15340, 540, 6404, 9864, 16755, 267, 543, 2362, 1931, 9864, 16755, 269, 589, 5618, 7650, 540, 2034, 9864, 12045, 267, 519, 15340, 540, 6404, 9864, 16755, 267, 543, 2362, 1931, 9864, 16755, 269, 901, 568, 513, 1246, 5346, 2243, 547, 7756, 5573, 530, 25331, 6745, 269, 621, 6941, 875, 547, 1265, 519, 2034, 12045, 540, 513, 1599, 269, 634, 6935, 1063, 519, 2698, 12045, 543, 519, 9864, 16755, 540, 513, 1599, 568, 17704, 1194, 538, 519, 6935, 1063, 519, 737, 628, 1931, 15191, 540, 513, 1599, 543, 922, 9864, 16755, 540, 1931, 1447, 982, 610, 3160, 547, 737, 269, 1635, 14578, 2921, 519, 2698, 12045, 267, 835, 3489, 338, 2362, 8747, 540, 519, 2605, 2946, 322, 2867, 12045, 267, 7463, 547, 681, 533, 269, 901, 3898, 2636, 585, 519, 2027, 2013, 540, 15285, 609, 2463, 547, 1100, 4632, 267, 538, 519, 1106, 540, 606, 8900, 1592, 267, 865, 519, 1990, 518, 1054, 1931, 12045, 568, 17411, 998, 886, 6600, 267, 314, 343, 259, 271, 8079, 815, 886, 6600, 267, 26514, 1040, 1103, 713, 2013, 267, 519, 1267, 568, 3274, 519, 3312, 4082, 267, 535, 269, 14451, 9864, 16755, 949, 581, 17223, 609, 2463, 547, 513, 2582, 4756, 267, 610, 4657, 4756, 693, 1142, 20422, 1900, 267, 865, 607, 547, 3489, 513, 6404, 9864, 12045, 269, 14451, 11352, 14216, 643, 2510, 13913, 502, 29645, 25149, 403, 507, 13913, 494, 403, 506, 403, 496, 403, 495, 29645, 403, 498, 13913, 350, 403, 497, 29645, 13913, 353, 403, 351, 25149, 403, 506, 25149, 403, 359, 13913, 501, 403, 358, 403, 495, 25149, 403, 509, 13913, 496, 25149, 29645, 403, 508, 27783, 507, 13913, 508, 403, 358, 25149, 403, 359, 403, 353, 27783, 507, 13913, 499, 29645, 403, 494, 403, 358, 25149, 403, 510, 21012, 27783, 507, 13913, 358, 403, 495, 29645, 27783, 507, 13913, 501, 27783, 495, 25149, 29645, 267, 13913, 501, 27783, 350, 25149, 29645, 267, 13913, 505, 403, 353, 403, 506, 267, 13913, 501, 27783, 506, 25149, 403, 356, 13913, 494, 29645, 25149, 403, 504, 13913, 508, 403, 350, 403, 353, 29645, 27783, 507, 13913, 351, 403, 358, 29645, 25149, 403, 510, 21012, 27783, 507, 13913, 501, 403, 500, 403, 356, 25149, 403, 359, 13913, 499, 403, 358, 25149, 29645, 403, 358, 27783, 507, 13913, 508, 25149, 403, 497, 25149, 403, 506, 25149, 14451, 11352, 3487, 658, 14216, 643, 2510, 269, 15531, 824, 2362, 1931, 9864, 12045, 568, 1175, 899, 4466, 519, 2034, 543, 3791, 1931, 9864, 16755, 269, 898, 666, 6023, 9971, 267, 7787, 267, 19450, 267, 12825, 267, 32568, 267, 25066, 267, 11201, 25066, 267, 5409, 26382, 543, 11201, 5409, 26382, 3252, 269, 634, 2228, 9498, 786, 5173, 519, 12045, 540, 1022, 1599, 1210, 519, 1455, 3652, 540, 15285, 630, 28237, 4341, 267, 23479, 4341, 267, 5832, 4341, 267, 3092, 269, 1635, 2921, 519, 9864, 16755, 540, 519, 9864, 16755, 267, 649, 12337, 519, 2362, 19195, 16755, 13034, 27941, 19195, 16755, 616, 1271, 547, 2638, 519, 6677, 822, 640, 540, 513, 1599, 267, 547, 6166, 2436, 606, 3665, 1448, 540, 513, 1599, 568, 3193, 610, 1295, 267, 3092, 269, 634, 9864, 12045, 6257, 519, 1689, 538, 535, 3287, 264, 1813, 547, 2242, 538, 1535, 543, 586, 269, 1306, 1454, 946, 9864, 16755, 723, 267, 789, 616, 8449, 2352, 547, 12337, 693, 2362, 2157, 543, 8754, 2228, 9864, 12045, 26732, 616, 2966, 547, 948, 519, 3755, 14458, 741, 26398, 269, 1617, 19041, 762, 23343, 1529, 639, 9864, 268, 1457, 29719, 17697, 1922, 4233, 7308, 648, 332, 269, 9786, 9119, 568, 513, 1434, 3301, 602, 666, 581, 1031, 607, 513, 12045, 9498, 269, 8729, 547, 782, 540, 596, 945, 1489, 803, 593, 4793, 516, 517, 269, 21846, 547, 519, 1985, 2362, 19195, 12045, 568, 5340, 1210, 519, 24088, 4542, 20270, 344, 17353, 3847, 263, 562, 1422, 2431, 264, 3686, 815, 11513, 3847, 263, 2715, 346, 344, 17353, 3847, 263, 2715, 333, 1107, 476, 272, 348, 1422, 2431, 264, 3686, 348, 1422, 2431, 8203, 315, 18905, 7684, 269, 259, 769, 930, 2665, 267, 649, 666, 17589, 513, 2489, 4542, 585, 519, 12045, 540, 606, 17062, 3230, 333, 2330, 628, 1931, 1510, 7384, 13591, 16755, 269, 3502, 725, 540, 5822, 11352, 3487, 658, 14216, 643, 2510, 281, 1280, 513, 1079, 4756, 1599, 535, 3287, 2073, 586, 1070, 649, 666, 5581, 476, 275, 2034, 1931, 9864, 16755, 2059, 609, 741, 711, 725, 269, 4495, 1586, 267, 519, 12045, 3947, 519, 9386, 540, 519, 17242, 1899, 3254, 593, 519, 1318, 538, 7612, 476, 1015, 269, 273, 269, 274, 269, 1320, 9722, 540, 519, 12045, 607, 606, 31302, 2557, 540, 1689, 267, 649, 2503, 602, 519, 2039, 540, 519, 1788, 850, 4679, 676, 476, 2004, 280, 269, 276, 3952, 585, 1169, 2234, 1014, 649, 2333, 519, 10131, 5086, 3230, 344, 2330, 952, 649, 1832, 519, 3355, 3432, 540, 519, 1788, 850, 3586, 693, 476, 5611, 3952, 829, 2034, 269, 22291, 609, 2463, 547, 1535, 267, 586, 543, 1990, 269, 1280, 1383, 267, 952, 535, 3287, 267, 586, 264, 815, 476, 274, 343, 317, 274, 586, 317, 273, 267, 519, 9864, 12045, 609, 2463, 547, 1535, 4016, 547, 519, 1198, 540, 513, 1689, 538, 1535, 593, 535, 3287, 11971, 264, 8066, 586, 3586, 269, 634, 9864, 12045, 540, 513, 1599, 540, 3230, 333, 2330, 4632, 267, 568, 3294, 513, 1599, 540, 3230, 333, 2330, 4632, 269, 3689, 11352, 3487, 658, 14216, 643, 2510, 901, 3296, 6212, 593, 2665, 1141, 1152, 835, 4756, 2242, 1247, 519, 1866, 616, 4371, 6378, 269, 594, 1616, 547, 581, 2111, 547, 12337, 9864, 16755, 540, 519, 1106, 6695, 14783, 3709, 343, 18898, 11892, 332, 22773, 535, 3287, 264, 815, 1422, 2765, 3189, 14783, 317, 332, 7346, 14783, 317, 332, 1535, 18898, 348, 22773, 535, 3287, 1040, 2330, 1280, 3236, 267, 7445, 14783, 3709, 343, 317, 273, 11892, 273, 22773, 1535, 317, 275, 259, 29019, 2285, 259, 273, 8961, 543, 6695, 14783, 3709, 343, 317, 274, 11892, 273, 1422, 2765, 12757, 317, 276, 7346, 6912, 12757, 317, 274, 20742, 317, 273, 3686, 815, 1422, 2765, 346, 278, 1535, 317, 277, 266, 736, 1535, 317, 274, 586, 317, 273, 266, 2412, 586, 317, 275, 2410, 3607, 1535, 1422, 3847, 3287, 317, 274, 20742, 317, 273, 9368, 22722 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 476, 280, 563, 763, 1587, 540, 1079, 1297, 568, 544, 2608, 562, 815, 513, 2608, 524, 815, 476, 272, 2608, 630, 14056, 264, 815, 476, 14056, 815, 910, 1724, 2608, 910, 280, 454, 5804, 519, 1657, 1079, 5528, 267, 649, 666, 2328, 519, 2418, 540, 1079, 2338, 544, 543, 562, 607, 910, 1724, 543, 910, 280, 563, 10190, 267, 513, 273, 1107, 476, 2420, 320, 1341, 476, 14056, 815, 513, 273, 1107, 476, 1724, 320, 1107, 476, 280, 320, 1341, 476, 14056, 563, 284, 513, 630, 320, 1107, 476, 1724, 264, 1107, 476, 280, 5416, 1107, 476, 1724, 1916, 15542, 528, 856, 519, 1455, 2474, 563, 5416, 1107, 476, 1724, 264, 630, 320, 1107, 476, 280, 2020, 10190, 267, 513, 273, 1107, 476, 2420, 320, 1341, 476, 14056, 1109, 284, 630, 320, 1107, 476, 1724, 264, 630, 320, 1107, 476, 280, 6393, 23870, 264, 634, 9717, 4082, 568, 513, 273, 1107, 476, 280, 320, 1341, 476, 736, 563, 3528, 9236, 519, 2016, 4082, 513, 273, 1107, 476, 280, 320, 1341, 476, 736, 1109, 5976, 519, 2596, 4082, 1535, 317, 273, 1341, 4949, 1341, 536, 563, 2080, 267, 513, 815, 476, 272, 267, 536, 815, 910, 280, 267, 543, 524, 815, 476, 736, 563, 763, 2040, 540, 1079, 2338, 568, 544, 1341, 562, 815, 536, 815, 910, 280, 815, 910, 276, 1107, 476, 275, 563, 763, 1587, 540, 1079, 1297, 568, 544, 2608, 562, 815, 513, 2608, 524, 815, 476, 272, 2608, 630, 736, 264, 815, 476, 736, 815, 910, 276, 2608, 910, 275, 454, 5804, 519, 1657, 1079, 5528, 267, 649, 666, 2328, 519, 2418, 540, 1079, 2338, 544, 543, 562, 607, 910, 276, 543, 910, 275, 563, 10190, 267, 513, 273, 1107, 476, 280, 320, 1341, 476, 736, 815, 513, 273, 1107, 476, 276, 320, 910, 275, 320, 1341, 476, 736, 563, 284, 513, 630, 320, 1107, 476, 276, 264, 1107, 476, 275, 5416, 1107, 476, 276, 1916, 15542, 528, 856, 519, 1455, 2474, 563, 5416, 1107, 476, 276, 264, 630, 320, 1107, 476, 275, 2020, 10190, 267, 513, 273, 1107, 476, 280, 320, 1341, 476, 736, 1109, 284, 630, 320, 1107, 476, 276, 264, 630, 320, 1107, 476, 275, 6393, 31702, 264, 634, 9717, 4082, 568, 513, 273, 1341, 513, 1107, 476, 15171, 563, 3528, 9236, 519, 2016, 4082, 513, 273, 1341, 513, 1107, 476, 15171, 1109, 5976, 519, 2596, 4082, 1535, 317, 273, 1341, 4949, 1341, 536, 563, 2080, 267, 513, 815, 476, 272, 267, 536, 815, 476, 272, 267, 543, 524, 815, 910, 15171, 563, 763, 2040, 540, 1079, 2338, 568, 544, 1341, 562, 815, 536, 815, 476, 272, 815, 476, 1321, 1107, 476, 1556, 563, 763, 1587, 540, 1079, 1297, 568, 544, 2608, 562, 815, 513, 2608, 524, 815, 476, 272, 2608, 11196, 15171, 264, 815, 910, 15171, 815, 476, 1321, 2608, 910, 1556, 454, 5804, 519, 1657, 1079, 5528, 267, 649, 666, 2328, 519, 2418, 540, 1079, 2338, 544, 543, 562, 607, 476, 1321, 543, 910, 1556, 563, 10190, 267, 513, 273, 1341, 513, 1107, 476, 15171, 815, 513, 273, 1341, 476, 1321, 320, 1107, 476, 1556, 320, 1107, 476, 15171, 563, 284, 513, 630, 320, 1341, 476, 1321, 264, 1107, 476, 1556, 5416, 1341, 476, 1321, 1916, 15542, 528, 856, 519, 1455, 2474, 563, 5416, 1341, 476, 1321, 264, 630, 320, 1107, 476, 1556, 2020, 10190, 267, 513, 273, 1341, 513, 1107, 476, 15171, 1109, 284, 630, 320, 1341, 476, 1321, 264, 630, 320, 1107, 476, 1556, 6393, 263, 643, 264, 634, 9717, 4082, 568, 513, 273, 1341, 476, 276, 320, 1107, 476, 10441, 563, 3528, 9236, 519, 2016, 4082, 513, 273, 1341, 476, 276, 320, 1107, 476, 10441, 1109, 5976, 519, 2596, 4082, 1535, 317, 273, 1341, 4949, 1341, 536, 563, 2080, 267, 513, 815, 476, 272, 267, 536, 815, 476, 276, 267, 543, 524, 815, 910, 10441, 563, 763, 2040, 540, 1079, 2338, 568, 544, 1341, 562, 815, 536, 815, 476, 276, 815, 476, 1724, 1107, 476, 279, 563, 763, 1587, 540, 1079, 1297, 568, 544, 2608, 562, 815, 513, 2608, 524, 815, 476, 272, 2608, 11196, 10441, 264, 815, 910, 10441, 815, 476, 1724, 2608, 910, 279, 454, 5804, 519, 1657, 1079, 5528, 267, 649, 666, 2328, 519, 2418, 540, 1079, 2338, 544, 543, 562, 607, 476, 1724, 543, 910, 279, 563, 10190, 267, 513, 273, 1341, 476, 276, 320, 1107, 476, 10441, 815, 513, 273, 1341, 476, 1724, 320, 1107, 476, 279, 320, 1107, 476, 10441, 563, 284, 513, 630, 320, 1341, 476, 1724, 264, 1107, 476, 279, 5416, 1341, 476, 1724, 1916, 15542, 528, 856, 519, 1455, 2474, 563, 5416, 1341, 476, 1724, 264, 630, 320, 1107, 476, 279, 2020, 10190, 267, 513, 273, 1341, 476, 276, 320, 1107, 476, 10441, 1109, 284, 630, 320, 1341, 476, 1724, 264, 630, 320, 1107, 476, 279, 6393, 17635, 264, 634, 9717, 4082, 568, 536, 273, 1341, 476, 278, 321, 1107, 476, 13893, 563, 3528, 9236, 519, 2016, 4082, 536, 273, 1341, 476, 278, 321, 1107, 476, 13893, 1109, 5976, 519, 2596, 4082, 1535, 317, 273, 1341, 4949, 1341, 536, 563, 2080, 267, 513, 815, 476, 272, 267, 536, 815, 476, 278, 267, 543, 524, 815, 910, 13893, 563, 763, 2040, 540, 1079, 2338, 568, 544, 1341, 562, 815, 536, 815, 476, 278, 815, 476, 1626, 1107, 476, 280, 563, 763, 1587, 540, 1079, 1297, 568, 544, 2608, 562, 815, 513, 2608, 524, 815, 476, 272, 2608, 11196, 13893, 264, 815, 910, 13893, 815, 476, 1626, 2608, 910, 280, 454, 5804, 519, 1657, 1079, 5528, 267, 649, 666, 2328, 519, 2418, 540, 1079, 2338, 544, 543, 562, 607, 476, 1626, 543, 910, 280, 563, 10190, 267, 536, 273, 1341, 476, 278, 321, 1107, 476, 13893, 815, 536, 273, 1341, 476, 1626, 321, 1107, 476, 280, 321, 1107, 476, 13893, 563, 284, 536, 630, 321, 1341, 476, 1626, 264, 1107, 476, 280, 6357, 1341, 476, 1626, 1916, 15542, 528, 856, 519, 1455, 2474, 563, 6357, 1341, 476, 1626, 264, 630, 321, 1107, 476, 280, 2020, 10190, 267, 536, 273, 1341, 476, 278, 321, 1107, 476, 13893, 1109, 284, 630, 321, 1341, 476, 1626, 264, 630, 321, 1107, 476, 280, 6393, 263, 12858, 264, 634, 9717, 4082, 568, 524, 273, 1341, 476, 866, 322, 1107, 476, 5611, 563, 3528, 9236, 519, 2016, 4082, 524, 273, 1341, 476, 866, 322, 1107, 476, 5611, 1109, 5976, 519, 2596, 4082, 1535, 317, 273, 1341, 4949, 1341, 536, 563, 2080, 267, 513, 815, 476, 272, 267, 536, 815, 476, 866, 267, 543, 524, 815, 910, 5611, 563, 763, 2040, 540, 1079, 2338, 568, 544, 1341, 562, 815, 536, 815, 476, 866, 815, 476, 1839, 1107, 476, 277, 563, 763, 1587, 540, 1079, 1297, 568, 544, 2608, 562, 815, 513, 2608, 524, 815, 476, 272, 2608, 11196, 5611, 264, 815, 910, 5611, 815, 476, 1839, 2608, 910, 277, 454, 5804, 519, 1657, 1079, 5528, 267, 649, 666, 2328, 519, 2418, 540, 1079, 2338, 544, 543, 562, 607, 476, 1839, 543, 910, 277, 563, 10190, 267, 524, 273, 1341, 476, 866, 322, 1107, 476, 5611, 815, 524, 273, 1341, 476, 1839, 322, 1107, 476, 277, 322, 1107, 476, 5611, 563, 284, 524, 630, 322, 1341, 476, 1839, 264, 1107, 476, 277, 6262, 1341, 476, 1839, 1916, 15542, 528, 856, 519, 1455, 2474, 563, 6262, 1341, 476, 1839, 264, 630, 322, 1107, 476, 277, 2020, 10190, 267, 524, 273, 1341, 476, 866, 322, 1107, 476, 5611, 815, 630, 322, 1341, 476, 1839, 264, 630, 322, 1107, 476, 277, 6393, 17635, 4512, 264, 634, 9717, 4082, 568, 536, 273, 1341, 536, 1107, 476, 7761, 563, 3528, 9236, 519, 2016, 4082, 536, 273, 1341, 536, 1107, 476, 7761, 1109, 5976, 519, 2596, 4082, 1535, 317, 273, 1341, 4949, 1341, 536, 563, 2080, 267, 513, 815, 476, 272, 267, 536, 815, 476, 272, 267, 543, 524, 815, 910, 7761, 563, 763, 2040, 540, 1079, 2338, 568, 544, 1341, 562, 815, 536, 815, 476, 272, 815, 1109, 476, 280, 1107, 476, 279, 563, 763, 1587, 540, 1079, 1297, 568, 544, 2608, 562, 815, 513, 2608, 524, 815, 476, 272, 2608, 11196, 7761, 264, 815, 910, 7761, 815, 476, 280, 2608, 910, 279, 454, 5804, 519, 1657, 1079, 5528, 267, 649, 666, 2328, 519, 2418, 540, 1079, 2338, 544, 543, 562, 607, 476, 280, 543, 910, 279, 563, 10190, 267, 536, 273, 1341, 536, 1107, 476, 7761, 815, 536, 273, 1341, 476, 280, 321, 1107, 476, 279, 321, 1107, 476, 7761, 563, 284, 536, 630, 321, 1341, 476, 280, 264, 1107, 476, 279, 6357, 1341, 476, 280, 1916, 15542, 528, 856, 519, 1455, 2474, 563, 6357, 1341, 476, 280, 264, 630, 321, 1107, 476, 279, 2020, 10190, 267, 536, 273, 1341, 536, 1107, 476, 7761, 1109, 284, 630, 321, 1341, 476, 280, 264, 630, 321, 1107, 476, 279, 6393, 17635, 13839, 264, 634, 9717, 4082, 568, 513, 273, 1341, 476, 277, 320, 1107, 476, 11011, 563, 3528, 9236, 519, 2016, 4082, 513, 273, 1341, 476, 277, 320, 1107, 476, 11011, 1109, 5976, 519, 2596, 4082, 1535, 317, 273, 1341, 4949, 1341, 536, 563, 2080, 267, 513, 815, 476, 272, 267, 536, 815, 476, 277, 267, 543, 524, 815, 910, 11011, 563, 763, 2040, 540, 1079, 2338, 568, 544, 1341, 562, 815, 536, 815, 476, 277, 815, 1109, 476, 1724, 1107, 476, 278, 563, 763, 1587, 540, 1079, 1297, 568, 544, 2608, 562, 815, 513, 2608, 524, 815, 476, 272, 2608, 11196, 11011, 264, 815, 910, 11011, 815, 476, 1724, 2608, 910, 278, 454, 5804, 519, 1657, 1079, 5528, 267, 649, 666, 2328, 519, 2418, 540, 1079, 2338, 544, 543, 562, 607, 476, 1724, 543, 910, 278, 563, 10190, 267, 513, 273, 1341, 476, 277, 320, 1107, 476, 11011, 815, 513, 273, 1341, 476, 1724, 320, 1107, 476, 278, 320, 1107, 476, 11011, 563, 284, 513, 630, 320, 1341, 476, 1724, 264, 1107, 476, 278, 5416, 1341, 476, 1724, 1916, 15542, 528, 856, 519, 1455, 2474, 563, 5416, 1341, 476, 1724, 264, 630, 320, 1107, 476, 278, 2020, 10190, 267, 513, 273, 1341, 476, 277, 320, 1107, 476, 11011, 1109, 284, 630, 320, 1341, 476, 1724, 264, 630, 320, 1107, 476, 278, 6393, 263, 1460, 264, 634, 9717, 4082, 568, 513, 273, 1107, 476, 275, 320, 910, 6507, 563, 3528, 9236, 519, 2016, 4082, 513, 273, 1107, 476, 275, 320, 910, 6507, 1109, 5976, 519, 2596, 4082, 1535, 317, 273, 1341, 4949, 1341, 536, 563, 2080, 267, 513, 815, 476, 272, 267, 536, 815, 910, 275, 267, 543, 524, 815, 910, 6507, 563, 763, 2040, 540, 1079, 2338, 568, 544, 1341, 562, 815, 536, 815, 910, 275, 815, 1109, 910, 1556, 1341, 476, 278, 563, 763, 1587, 540, 1079, 1297, 568, 544, 2608, 562, 815, 513, 2608, 524, 815, 476, 272, 2608, 11196, 6507, 264, 815, 910, 6507, 815, 910, 1556, 2608, 476, 278, 454, 5804, 519, 1657, 1079, 5528, 267, 649, 666, 2328, 519, 2418, 540, 1079, 2338, 544, 543, 562, 607, 910, 1556, 543, 476, 278, 563, 10190, 267, 513, 273, 1107, 476, 275, 320, 910, 6507, 815, 513, 273, 1107, 476, 1556, 320, 1341, 476, 278, 320, 910, 6507, 563, 284, 513, 630, 320, 1107, 476, 1556, 264, 1341, 476, 278, 5416, 1107, 476, 1556, 1916, 15542, 528, 856, 519, 1455, 2474, 563, 5416, 1107, 476, 1556, 264, 630, 320, 1341, 476, 278, 2020, 10190, 267, 513, 273, 1107, 476, 275, 320, 910, 6507, 1109, 284, 630, 320, 1107, 476, 1556, 264, 630, 320, 1341, 476, 278, 6393, 3287, 264, 634, 9717, 4082, 568, 513, 273, 1107, 476, 277, 320, 1107, 476, 13670, 563, 3528, 9236, 519, 2016, 4082, 513, 273, 1107, 476, 277, 320, 1107, 476, 13670, 1109, 5976, 519, 2596, 4082, 1535, 317, 273, 1341, 4949, 1341, 536, 563, 2080, 267, 513, 815, 476, 272, 267, 536, 815, 910, 277, 267, 543, 524, 815, 910, 13670, 563, 763, 2040, 540, 1079, 2338, 568, 544, 1341, 562, 815, 536, 815, 910, 277, 815, 1109, 910, 1428, 1341, 476, 280, 563, 763, 1587, 540, 1079, 1297, 568, 544, 2608, 562, 815, 513, 2608, 524, 815, 476, 272, 2608, 11196, 13670, 264, 815, 910, 13670, 815, 910, 1428, 2608, 476, 280, 454, 5804, 519, 1657, 1079, 5528, 267, 649, 666, 2328, 519, 2418, 540, 1079, 2338, 544, 543, 562, 607, 910, 1428, 543, 476, 280, 563, 10190, 267, 513, 273, 1107, 476, 277, 320, 1107, 476, 13670, 815, 513, 273, 1107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 30098, 12035, 543, 12886, 538, 13076, 547, 19630, 6500, 780, 1038, 30352, 454, 1038, 28612, 734, 454, 1038, 13672, 272, 2433, 26998, 6783, 454, 2018, 18452, 6152, 585, 1689, 538, 12035, 454, 1038, 13672, 272, 2433, 26998, 6783, 454, 2018, 18452, 6152, 585, 1689, 538, 12886, 692, 1038, 8173, 1038, 1582, 9884, 6834, 13672, 272, 454, 1038, 1582, 12500, 6834, 13672, 273, 22562, 825, 1219, 4464, 4311, 267, 6358, 12774, 2187, 1038, 8173, 1038, 6156, 525, 28644, 4412, 690, 566, 1900, 780, 1038, 30352, 454, 1038, 28612, 734, 454, 1038, 3403, 12774, 2433, 26998, 6783, 454, 2018, 18452, 6152, 585, 19670, 11852, 2474, 780, 1038, 16849, 454, 1038, 476, 9339, 8894, 1038, 26998, 6783, 454, 2018, 19243, 6152, 585, 856, 4707, 11852, 2474, 780, 1038, 8173, 1038, 3403, 12774, 815, 3403, 12774, 269, 31412, 9230, 6358, 12774, 17482, 314, 271, 3910, 272, 4917, 1038, 1582, 269, 6358, 12774, 815, 3403, 12774, 454, 1038, 1582, 269, 345, 815, 5286, 31715, 4311, 9884, 267, 6358, 12774, 264, 3097, 1038, 1582, 18502, 815, 1582, 269, 345, 454, 1038, 952, 4311, 269, 716, 10474, 2652, 1412, 338, 31451, 262, 2187, 2018, 1582, 18502, 815, 1582, 14857, 338, 31451, 4311, 18502, 994, 1038, 8640, 4311, 269, 716, 10474, 2652, 1412, 11927, 327, 262, 2187, 2018, 1582, 18502, 815, 1582, 14857, 11927, 327, 4311, 18502, 994, 1038, 8640, 4311, 269, 716, 10474, 2652, 1412, 516, 1663, 262, 2187, 2018, 1582, 18502, 815, 1582, 14857, 516, 1663, 4311, 18502, 994, 1038, 8640, 4311, 269, 716, 10474, 2652, 1412, 7809, 10946, 262, 2187, 2018, 1582, 18502, 815, 1582, 14857, 7809, 10946, 4311, 18502, 994, 1038, 3116, 912, 2018, 1780, 454, 1038, 952, 4311, 6155, 1886, 719, 2187, 2018, 6749, 815, 5286, 20179, 20120, 4311, 18502, 17482, 314, 271, 3910, 1345, 18502, 17482, 314, 272, 8079, 2999, 1582, 269, 18141, 318, 22238, 454, 2018, 1582, 18502, 815, 5286, 6230, 738, 17586, 4311, 18502, 267, 17840, 994, 2018, 1582, 18502, 1315, 284, 1582, 269, 18141, 318, 22238, 454, 1038, 2132, 1582, 18502, 454, 27030, 825, 1219, 18807, 4311, 267, 19587, 2187, 1038, 8173, 1038, 6156, 525, 7982, 1189, 4412, 690, 566, 1900, 780, 1038, 30352, 454, 1038, 28612, 734, 454, 1038, 5470, 2433, 26998, 6783, 454, 2018, 18452, 6152, 585, 19670, 5470, 2474, 780, 1038, 16849, 454, 1038, 476, 9339, 8894, 1038, 26998, 6783, 454, 2018, 19243, 6152, 585, 856, 4707, 5470, 2474, 780, 1038, 8173, 1038, 952, 4311, 269, 716, 10474, 2652, 1412, 338, 31451, 262, 2187, 2018, 1582, 6155, 345, 815, 5286, 6230, 738, 17586, 263, 19587, 267, 1345, 14857, 338, 31451, 5091, 4311, 269, 345, 4917, 1038, 8640, 4311, 269, 716, 10474, 2652, 1412, 11927, 327, 262, 2187, 2018, 1582, 6155, 345, 815, 5286, 6230, 738, 17586, 263, 19587, 267, 1345, 14857, 11927, 327, 5091, 4311, 269, 345, 4917, 1038, 8640, 4311, 269, 716, 10474, 2652, 1412, 516, 1663, 262, 2187, 2018, 1582, 6155, 345, 815, 5286, 6230, 738, 17586, 263, 19587, 267, 1345, 14857, 516, 1663, 5091, 4311, 269, 345, 4917, 1038, 8640, 4311, 269, 716, 10474, 2652, 1412, 7809, 10946, 262, 2187, 2018, 1582, 6155, 345, 815, 5470, 454, 1038, 3116, 912, 2018, 1582, 6155, 345, 815, 476, 271, 2608, 5470, 454, 27030, 1038, 1582, 6155, 342, 815, 5286, 31715, 4311, 6155, 345, 267, 1582, 269, 6358, 12774, 11053, 994, 1038, 1582, 6155, 321, 815, 5286, 27904, 4311, 6155, 345, 267, 7852, 284, 272, 267, 1832, 323, 15501, 18989, 994, 1038, 1985, 318, 19587, 815, 5286, 31715, 4311, 9884, 11053, 267, 1582, 6155, 345, 994, 1038, 2132, 1985, 318, 19587, 454, 0, 26611, 23591, 24800, 270, 7090, 274, 692, 258, 17504, 6713, 528, 454, 258, 339, 1389, 3403, 689, 3758, 2496, 3698, 2262, 318, 15263, 29495, 2187, 825, 8173, 825, 630, 1598, 264, 9847, 1193, 454, 825, 19243, 5569, 3898, 281, 834, 28237, 12173, 267, 22780, 7272, 668, 334, 318, 23748, 267, 340, 558, 267, 548, 770, 318, 22780, 318, 1721, 7272, 668, 334, 29679, 1511, 30648, 318, 22780, 267, 4134, 12248, 267, 16955, 14826, 4840, 825, 29185, 825, 1948, 31711, 9218, 585, 1587, 454, 825, 1587, 815, 2715, 257, 28237, 12173, 9899, 257, 2580, 834, 22780, 7272, 668, 334, 318, 23748, 9899, 257, 2580, 834, 340, 558, 9899, 257, 2580, 834, 548, 770, 318, 22780, 318, 1721, 7272, 668, 334, 9899, 272, 267, 834, 338, 1511, 30648, 318, 22780, 9899, 257, 2580, 834, 4134, 12248, 9899, 257, 2580, 834, 16955, 9899, 271, 10926, 825, 1948, 20889, 1257, 3758, 454, 825, 1257, 6050, 815, 1257, 21858, 19629, 333, 15419, 825, 1820, 29495, 6050, 994, 825, 952, 7003, 29495, 6050, 264, 2999, 476, 274, 912, 1038, 2132, 692, 825, 1948, 31711, 1592, 540, 1587, 4408, 454, 825, 609, 1930, 2891, 28237, 5091, 5315, 27406, 2580, 834, 337, 8442, 607, 535, 912, 1038, 1587, 5332, 1868, 815, 11713, 1038, 585, 4737, 538, 535, 912, 2018, 4737, 815, 4737, 25331, 29328, 4590, 2018, 1587, 5332, 1868, 6910, 21405, 994, 825, 1948, 2745, 9638, 6055, 5332, 1868, 2020, 825, 1948, 31711, 1592, 540, 4559, 454, 825, 609, 1930, 2891, 28493, 5091, 5315, 27406, 2580, 834, 337, 8442, 607, 535, 912, 1038, 4559, 815, 11713, 1038, 585, 4737, 538, 535, 912, 2018, 4737, 815, 4737, 25331, 29328, 4590, 2018, 4559, 6910, 21405, 994, 825, 1948, 2745, 263, 28493, 9239, 825, 1948, 1348, 1899, 676, 1899, 454, 825, 585, 1775, 538, 2039, 12759, 29495, 6050, 15892, 1038, 1948, 31711, 1899, 543, 1985, 1467, 454, 1038, 1899, 815, 1257, 6050, 5157, 2639, 1038, 952, 1775, 2999, 7003, 29495, 6050, 9984, 273, 912, 2018, 1985, 1467, 815, 1257, 6050, 5157, 266, 272, 6540, 1038, 1948, 1805, 8692, 3056, 543, 10678, 16543, 10628, 454, 1038, 1899, 815, 1899, 25331, 29328, 4590, 1038, 1899, 815, 1899, 7456, 29328, 4590, 1038, 1985, 1467, 815, 1985, 1467, 25331, 29328, 4590, 1038, 1985, 1467, 815, 1985, 1467, 7456, 29328, 10797, 1038, 1948, 339, 1845, 547, 6474, 1587, 2012, 454, 1038, 1948, 2745, 263, 1467, 266, 257, 834, 266, 10113, 1467, 994, 1038, 952, 630, 1467, 266, 257, 834, 266, 10113, 1467, 264, 538, 1587, 5332, 1868, 912, 2018, 952, 1587, 14277, 28237, 12173, 19312, 2652, 834, 13426, 3546, 1587, 14277, 28237, 12173, 19312, 815, 630, 1467, 266, 257, 834, 266, 10113, 1467, 2020, 1038, 952, 1899, 538, 1587, 5332, 1868, 912, 2018, 952, 1587, 14277, 28237, 12173, 19312, 2652, 834, 13426, 3546, 1587, 14277, 28237, 12173, 19312, 815, 1899, 692, 1038, 12361, 595, 17955, 476, 272, 454, 1038, 1948, 604, 1899, 6238, 609, 14408, 12717, 454, 1038, 8640, 1899, 269, 11034, 1873, 603, 2891, 6347, 12717, 257, 2187, 27030, 2018, 12361, 595, 17955, 476, 272, 269, 272, 910, 16440, 829, 1770, 454, 2018, 1948, 20889, 1899, 676, 1269, 1129, 454, 2018, 952, 834, 259, 257, 538, 1899, 912, 4449, 454, 3546, 1948, 2750, 281, 14408, 12717, 1269, 273, 269, 4200, 593, 476, 273, 454, 3546, 952, 834, 517, 257, 538, 1899, 912, 7386, 8237, 318, 1467, 815, 1899, 21858, 2891, 517, 5602, 7386, 1587, 14277, 338, 1511, 30648, 318, 22780, 19312, 815, 3313, 318, 23748, 4433, 5902, 318, 1467, 314, 271, 7481, 7386, 2119, 912, 13376, 1587, 14277, 548, 770, 318, 22780, 318, 1721, 7272, 668, 334, 19312, 815, 703, 4433, 5902, 318, 1467, 314, 272, 8079, 4449, 8931, 7386, 4849, 912, 13376, 1780, 454, 4449, 454, 3546, 1948, 18744, 3902, 9494, 9623, 454, 3546, 3116, 912, 7386, 1587, 14277, 338, 1511, 30648, 318, 22780, 19312, 815, 3313, 318, 23748, 263, 1467, 2020, 2018, 12361, 595, 17955, 476, 272, 269, 273, 910, 16440, 829, 10958, 630, 773, 14408, 12717, 476, 736, 260, 994, 2018, 8640, 834, 260, 257, 538, 1899, 912, 3546, 8237, 318, 1467, 815, 1899, 21858, 2891, 260, 5602, 3546, 10958, 815, 3313, 318, 4134, 12248, 4433, 5902, 318, 1467, 314, 271, 7481, 3546, 1587, 14277, 4134, 12248, 19312, 815, 10958, 692, 2018, 12361, 773, 14408, 12717, 1269, 274, 269, 4200, 829, 11013, 454, 2018, 585, 1770, 538, 4559, 912, 3546, 952, 1770, 538, 1899, 281, 1948, 5417, 1770, 547, 579, 558, 454, 7386, 1587, 14277, 340, 558, 19312, 815, 1770, 692, 8931, 1038, 1948, 604, 1899, 6238, 609, 1269, 454, 1038, 8640, 1899, 269, 11034, 1873, 603, 2891, 259, 8442, 1384, 2018, 1948, 22772, 1770, 454, 2018, 585, 1770, 538, 4559, 912, 3546, 952, 1770, 538, 1899, 281, 1948, 5417, 1770, 547, 579, 558, 454, 7386, 1587, 14277, 340, 558, 19312, 815, 1770, 692, 2018, 8237, 318, 1467, 815, 1899, 21858, 2891, 270, 5602, 27030, 2018, 1948, 29991, 3902, 454, 2018, 3902, 815, 3313, 318, 23748, 4433, 5902, 318, 1467, 314, 271, 7481, 2018, 1587, 14277, 22780, 7272, 668, 334, 318, 23748, 19312, 815, 3902, 692, 2018, 12361, 773, 1269, 274, 269, 4200, 829, 11013, 454, 2018, 585, 1770, 538, 4559, 912, 3546, 952, 1770, 538, 1899, 281, 1948, 5417, 1770, 547, 579, 558, 454, 7386, 1587, 14277, 340, 558, 19312, 815, 1770, 692, 1038, 1948, 604, 1899, 3568, 5494, 870, 630, 8472, 543, 5508, 293, 454, 1038, 8640, 834, 260, 257, 538, 1899, 543, 834, 302, 13697, 257, 538, 1899, 912, 2018, 12361, 4855, 10958, 4939, 454, 2018, 1587, 14277, 4134, 12248, 19312, 815, 3313, 318, 4134, 12248, 263, 1467, 2020, 1038, 8640, 834, 295, 3201, 293, 257, 538, 1899, 543, 834, 302, 13697, 257, 538, 1899, 912, 2018, 1587, 14277, 4134, 12248, 19312, 815, 476, 271, 269, 276, 28329, 1038, 1948, 604, 519, 1899, 6238, 609, 513, 7857, 454, 1038, 8640, 7003, 263, 1467, 264, 285, 271, 543, 1899, 314, 271, 4940, 529, 323, 13424, 3890, 1384, 2018, 1948, 548, 770, 4559, 270, 259, 23748, 3898, 454, 2018, 952, 834, 270, 257, 538, 1899, 912, 3546, 8237, 318, 1467, 815, 1899, 21858, 2891, 270, 5602, 3546, 2119, 912, 7386, 1587, 14277, 548, 770, 318, 22780, 318, 1721, 7272, 668, 334, 19312, 815, 703, 4433, 5902, 318, 1467, 314, 271, 7481, 3546, 4849, 912, 7386, 1780, 692, 3546, 8237, 318, 1467, 314, 272, 316, 815, 8237, 318, 1467, 314, 272, 4940, 331, 29328, 2891, 259, 5602, 3546, 3902, 815, 3313, 318, 23748, 4433, 5902, 318, 1467, 314, 272, 7481, 3546, 1587, 14277, 22780, 7272, 668, 334, 318, 23748, 19312, 815, 3902, 692, 2018, 12361, 3036, 1223, 581, 630, 278, 12063, 8094, 2018, 585, 1770, 538, 4559, 912, 3546, 952, 1770, 538, 1899, 281, 1948, 5417, 1770, 547, 579, 558, 454, 7386, 1587, 14277, 340, 558, 19312, 815, 1899, 692, 1038, 1948, 2252, 1587, 568, 5214, 454, 1038, 952, 834, 16955, 257, 538, 1899, 912, 2018, 1587, 14277, 16955, 19312, 815, 476, 272, 692, 13872, 825, 12361, 13014, 2386, 3388, 568, 538, 6167, 3951, 540, 476, 272, 454, 825, 952, 1587, 14277, 548, 770, 318, 22780, 318, 1721, 7272, 668, 334, 19312, 3436, 476, 272, 912, 1038, 1770, 19571, 815, 1587, 14277, 548, 770, 318, 22780, 318, 1721, 7272, 668, 334, 31116, 1038, 1770, 318, 23748, 815, 1587, 14277, 22780, 7272, 668, 334, 318, 23748, 31116, 1038, 1770, 5334, 1511, 815, 1587, 14277, 338, 1511, 30648, 318, 22780, 31116, 1038, 1948, 2745, 263, 22780, 19571, 267, 1770, 318, 23748, 267, 1770, 5334, 1511, 2020, 1038, 952, 1587, 14277, 22780, 7272, 668, 334, 318, 23748, 19312, 11203, 834, 13426, 2018, 1587, 14277, 22780, 7272, 668, 334, 318, 23748, 19312, 815, 10581, 263, 22780, 318, 23748, 8358, 22780, 19571, 454, 1038, 952, 1587, 14277, 338, 1511, 30648, 318, 22780, 19312, 11203, 834, 13426, 2018, 1587, 14277, 338, 1511, 30648, 318, 22780, 19312, 815, 10581, 263, 22780, 5334, 1511, 8358, 22780, 19571, 672, 8528, 825, 3977, 815, 630, 28237, 14277, 28237, 12173, 19312, 1341, 834, 2437, 26444, 1038, 1341, 1193, 9638, 6055, 14277, 22780, 7272, 668, 334, 318, 23748, 257, 8079, 1341, 834, 2437, 26444, 1038, 1341, 1587, 14277, 340, 558, 19312, 1341, 834, 2437, 26444, 1038, 1341, 1193, 9638, 6055, 14277, 548, 770, 318, 22780, 318, 1721, 7272, 668, 334, 257, 8079, 1341, 834, 2437, 315, 454, 1038, 1341, 1193, 9638, 6055, 14277, 338, 1511, 30648, 318, 22780, 257, 8079, 1341, 834, 2437, 26444, 1038, 1341, 1193, 9638, 6055, 14277, 4134, 12248, 257, 8079, 1341, 834, 2437, 26444, 1038, 1341, 1193, 9638, 6055, 14277, 16955, 257, 8079, 1341, 27719, 333, 8442, 22322, 8931, 825, 2132, 3977, 692, 3698, 3313, 318, 23748, 19304, 318, 23748, 2187, 825, 8173, 825, 630, 1598, 264, 9847, 1003, 454, 825, 29185, 825, 3902, 815, 476, 271, 269, 271, 692, 825, 1948, 7230, 7174, 1875, 18251, 3197, 454, 825, 585, 669, 538, 1193, 318, 23748, 912, 1038, 952, 711, 669, 18994 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1284, 20623, 569, 454, 16215, 476, 272, 31538, 18289, 8745, 8018, 476, 279, 11261, 11270, 17726, 1656, 20653, 6290, 10819, 1548, 1772, 634, 19105, 17726, 2986, 589, 4258, 29609, 2334, 590, 21646, 476, 1911, 631, 769, 476, 275, 590, 1215, 6168, 1403, 898, 590, 21646, 476, 2004, 631, 769, 476, 273, 590, 1403, 589, 2961, 631, 7174, 2060, 1323, 19105, 17726, 2986, 476, 2568, 918, 332, 670, 337, 1280, 1323, 28914, 898, 4024, 13488, 589, 20028, 2986, 476, 2568, 918, 332, 1215, 10787, 4024, 898, 13488, 1403, 898, 8033, 1132, 901, 19105, 15580, 1280, 476, 275, 670, 3464, 589, 14840, 1676, 24439, 2290, 700, 777, 15907, 7537, 10056, 28977, 13067, 652, 1737, 454, 5327, 21564, 634, 18289, 2986, 1323, 8629, 1772, 12769, 31531, 10434, 1677, 1684, 2060, 9293, 6884, 28977, 6435, 5269, 18289, 31418, 1512, 1677, 16514, 1656, 4475, 13760, 5457, 18289, 1772, 589, 7827, 769, 19024, 2725, 25979, 1635, 20028, 1656, 5384, 17726, 15681, 338, 2974, 634, 15580, 2311, 6904, 1323, 8629, 631, 7174, 20653, 6290, 15681, 338, 634, 17726, 1656, 667, 3925, 2986, 589, 25021, 8629, 11854, 539, 5384, 1656, 20028, 6096, 454, 13014, 11426, 14184, 6096, 6168, 19693, 2107, 19105, 17726, 5384, 1656, 20028, 1280, 2776, 10789, 1656, 10789, 476, 272, 20043, 24110, 476, 277, 476, 280, 5637, 1656, 670, 15621, 4813, 1846, 3657, 12232, 1411, 2052, 7994, 634, 9537, 2986, 6478, 10819, 769, 634, 8018, 634, 7089, 2986, 10819, 5450, 878, 2107, 11426, 776, 19590, 634, 10158, 5384, 1772, 5890, 5962, 25980, 3687, 2373, 26271, 531, 25980, 2107, 27252, 25980, 1656, 634, 2549, 870, 2986, 3718, 10628, 16215, 476, 278, 18289, 454, 11854, 539, 20653, 6290, 1656, 24665, 566, 8018, 10298, 18289, 10819, 5682, 13268, 564, 2349, 1678, 18289, 10819, 5682, 13268, 564, 10298, 19024, 966, 5384, 28977, 476, 272, 2349, 1678, 19024, 966, 5384, 28977, 476, 272, 10298, 631, 329, 623, 26404, 8018, 2349, 1678, 631, 329, 623, 26404, 8018, 10298, 19024, 966, 5384, 28977, 476, 273, 2349, 1678, 19024, 966, 5384, 28977, 476, 273, 10298, 8641, 5623, 6657, 2349, 1678, 8641, 5623, 6657, 454, 291, 2700, 5384, 17726, 6657, 10819, 454, 291, 2700, 5384, 17726, 6657, 10819, 1411, 18771, 8058, 2659, 4518, 1411, 2052, 2422, 589, 18185, 1809, 1411, 18771, 8058, 2353, 2986, 634, 17778, 12833, 9407, 769, 23560, 634, 9046, 17726, 476, 272, 1403, 589, 2961, 3004, 12069, 476, 6110, 332, 769, 476, 736, 1530, 6948, 1215, 16258, 1772, 898, 24613, 476, 273, 1403, 1411, 8844, 476, 2004, 631, 4394, 769, 476, 1015, 1530, 6948, 1548, 1772, 2659, 17726, 476, 274, 1411, 27336, 633, 769, 3733, 4147, 476, 3393, 1530, 6948, 2991, 2274, 3058, 4569, 6904, 1772, 476, 3445, 631, 4394, 589, 3118, 1215, 16258, 9894, 1411, 13488, 476, 275, 589, 454, 11854, 539, 1656, 18289, 11427, 645, 3073, 8243, 14525, 590, 476, 279, 628, 6103, 3163, 454, 11854, 539, 1656, 18289, 31515, 16319, 8752, 16661, 13555, 2725, 7351, 15638, 4989, 4864, 5412, 5988, 5130, 4728, 5437, 5239, 5181, 23448, 6435, 4937, 4147, 6176, 717, 714, 21573, 16071, 8249, 1656, 10632, 11660, 6396, 16661, 4518, 1656, 5295, 6997, 10374, 8382, 6997, 5999, 654, 880, 5903, 4147, 7435, 8083, 20042, 17726, 1656, 18289, 19139, 11711, 7392, 27748, 454, 10144, 5461, 538, 17726, 18289, 8018, 849, 22646, 585, 10778, 11854, 539, 18289, 8018, 269, 634, 4976, 568, 606, 25819, 540, 476, 275, 10578, 18697, 602, 786, 3986, 707, 4819, 781, 1702, 543, 5759, 269, 634, 3211, 616, 6035, 538, 1646, 958, 3617, 8747, 585, 3214, 540, 1114, 6502, 269, 17006, 543, 18946, 9981, 3211, 538, 1082, 9832, 1519, 513, 1297, 540, 5079, 585, 24324, 946, 563, 2791, 666, 2253, 609, 519, 26627, 27664, 17400, 1161, 543, 1310, 602, 1847, 4464, 609, 519, 27608, 17400, 1161, 269, 29986, 585, 3214, 786, 849, 581, 2864, 2241, 547, 1020, 538, 971, 513, 6752, 269, 1403, 596, 2811, 606, 2937, 543, 6999, 547, 2333, 707, 13002, 267, 621, 666, 581, 12913, 269, 1306, 513, 1267, 267, 538, 519, 2680, 602, 596, 2731, 6999, 547, 3986, 13002, 540, 707, 4819, 267, 31657, 547, 2263, 519, 5383, 540, 606, 10995, 1565, 1907, 1631, 2336, 13706, 875, 596, 6999, 547, 17492, 707, 4357, 5132, 3948, 269, 6884, 5022, 723, 547, 581, 14661, 547, 3514, 538, 513, 1880, 2230, 269, 1879, 513, 4484, 1281, 711, 723, 1022, 7299, 338, 899, 513, 3854, 589, 610, 966, 267, 519, 1360, 1101, 15497, 8482, 568, 9833, 607, 519, 6565, 269, 634, 4448, 543, 1793, 5896, 5022, 786, 581, 3833, 2241, 547, 1106, 2899, 519, 1082, 5546, 556, 19927, 1134, 269, 4634, 1945, 607, 2653, 607, 27378, 519, 4098, 4484, 540, 1279, 1913, 666, 4217, 707, 1126, 2087, 1010, 18551, 5759, 269, 17726, 18289, 8018, 563, 2467, 3884, 1405, 4376, 899, 513, 24077, 1650, 267, 543, 4986, 899, 1373, 519, 1268, 945, 3323, 513, 12021, 4683, 10828, 269, 5463, 4575, 2390, 519, 4998, 1935, 8905, 595, 27641, 1603, 568, 10416, 8678, 5346, 13002, 269, 6657, 2542, 676, 3054, 607, 1419, 607, 2009, 563, 10932, 4683, 17691, 547, 3489, 513, 1523, 540, 1018, 781, 856, 972, 1991, 547, 1818, 513, 1007, 835, 269, 1411, 616, 1869, 711, 2386, 519, 18119, 723, 519, 1697, 2856, 269, 28900, 267, 596, 4465, 1405, 946, 519, 5354, 540, 707, 2093, 269, 1403, 596, 4312, 3893, 606, 2856, 585, 513, 1907, 5225, 1217, 721, 269, 2334, 1797, 596, 666, 2253, 1318, 1141, 596, 616, 1100, 2339, 875, 2370, 596, 1522, 1745, 596, 4312, 3893, 547, 2285, 269, 1411, 616, 849, 3833, 19035, 540, 1022, 12316, 6521, 269, 769, 4505, 2053, 596, 4312, 7150, 602, 519, 1847, 540, 7115, 949, 581, 1932, 2038, 563, 10376, 3992, 538, 13002, 1058, 1376, 593, 513, 4195, 1007, 2985, 267, 865, 519, 2370, 835, 3587, 2614, 4055, 547, 2259, 269, 5272, 13002, 3992, 1058, 2253, 609, 519, 26897, 269, 29986, 1565, 568, 1175, 835, 540, 519, 1034, 1271, 1565, 2115, 540, 513, 4819, 269, 4804, 875, 547, 1224, 3884, 1405, 1175, 4101, 267, 855, 1187, 1932, 563, 763, 946, 540, 21870, 634, 946, 540, 21870, 568, 4105, 538, 15980, 707, 1126, 1451, 547, 13724, 13002, 269, 4746, 267, 7703, 538, 2247, 602, 6148, 707, 1360, 1101, 2119, 693, 23730, 949, 711, 3142, 4376, 4143, 267, 855, 1810, 1405, 3247, 3843, 269, 4495, 596, 616, 2111, 547, 960, 267, 596, 1522, 581, 14281, 875, 1454, 596, 1205, 2944, 269, 6875, 883, 7156, 875, 596, 1745, 827, 3054, 269, 15775, 2111, 547, 12189, 519, 9477, 2337, 3514, 811, 5022, 538, 513, 2370, 2230, 610, 3262, 856, 5022, 952, 789, 2811, 1932, 9395, 269, 12344, 596, 1590, 21821, 519, 5351, 540, 1776, 812, 547, 5000, 610, 948, 596, 1832, 5059, 563, 11854, 539, 18289, 8018, 269, 8347, 547, 3314, 267, 596, 2141, 723, 547, 1416, 585, 707, 1126, 609, 5863, 1416, 267, 8296, 543, 15754, 547, 581, 2111, 547, 948, 1864, 1451, 269, 1411, 949, 849, 2307, 707, 4819, 781, 4116, 585, 3063, 3211, 269, 2659, 5067, 610, 8250, 568, 711, 2469, 547, 1175, 1451, 513, 1114, 4990, 540, 13944, 855, 538, 1840, 1451, 875, 547, 2328, 12461, 14688, 1317, 25777, 1603, 568, 3833, 4190, 547, 2638, 856, 269, 1306, 513, 1267, 267, 952, 513, 4819, 568, 2907, 7092, 689, 11838, 1010, 13002, 786, 9090, 581, 4299, 269, 22353, 267, 547, 581, 2111, 547, 9585, 713, 267, 952, 1453, 616, 6026, 547, 1106, 1114, 5546, 538, 513, 5078, 6752, 267, 621, 568, 2469, 547, 5512, 873, 547, 17492, 519, 5022, 538, 513, 2731, 5347, 543, 2653, 1505, 269, 4014, 621, 666, 581, 20036, 1169, 942, 513, 27344, 3081, 646, 2196, 2740, 593, 519, 19209, 267, 1053, 1616, 547, 1174, 875, 547, 946, 2250, 13029, 865, 607, 547, 3717, 543, 2328, 7157, 269, 2913, 2161, 267, 596, 1131, 899, 547, 5818, 707, 5067, 781, 610, 8250, 781, 13002, 267, 621, 568, 855, 6654, 602, 596, 1616, 547, 2285, 707, 5067, 610, 8250, 7899, 540, 2259, 267, 607, 789, 2161, 267, 2259, 2306, 3501, 563, 21413, 18551, 1983, 267, 621, 781, 3592, 7543, 267, 2523, 585, 3214, 267, 547, 1451, 875, 547, 1224, 1007, 1913, 269, 9828, 547, 7435, 548, 23206, 12983, 898, 568, 5393, 1898, 602, 1058, 596, 3605, 707, 4819, 568, 538, 3430, 550, 633, 547, 1010, 1565, 2523, 950, 621, 814, 547, 798, 609, 2542, 543, 1603, 2152, 596, 1590, 2253, 2324, 593, 1585, 2081, 543, 547, 2087, 621, 269, 2422, 513, 2875, 781, 2012, 538, 1169, 4845, 865, 972, 781, 513, 2582, 4845, 585, 1142, 4819, 269, 5221, 646, 610, 1352, 16137, 693, 1010, 1378, 2557, 267, 972, 568, 930, 13260, 538, 519, 2085, 950, 513, 1126, 568, 4712, 547, 1451, 547, 1224, 269, 9752, 707, 4819, 547, 1106, 519, 26897, 568, 3833, 513, 7294, 2259, 563, 30475, 281, 1948, 18196, 540, 5163, 4976, 258, 332, 10056, 543, 1648, 3211, 258, 4403, 543, 5163, 3211, 1863, 258, 332, 10056, 11708, 4976, 4267, 258, 684, 6134, 9764, 5163, 4976, 258, 332, 10056, 3211, 585, 3214, 258, 332, 10056, 4976, 9656, 258, 321, 650, 562, 6614, 5163, 4976, 258, 3225, 725, 540, 5163, 4976, 258, 332, 10056, 11708, 4976, 2626, 1883, 0, 13202, 269, 476, 2764, 267, 476, 1220, 276, 1107, 634, 6090, 513, 1268, 4991, 689, 741, 3158, 543, 19033, 949, 1404, 513, 1909, 602, 568, 1271, 8159, 2436, 646, 1223, 581, 28305, 610, 5310, 711, 267, 538, 13076, 609, 1007, 1382, 12155, 547, 12081, 924, 519, 29770, 326, 599, 5444, 892, 7521, 563, 14722, 1533, 522, 24660, 568, 519, 1360, 1101, 942, 519, 2347, 1480, 1373, 22420, 17539, 2472, 4523, 547, 581, 1085, 10165, 3168, 585, 15164, 22420, 21876, 540, 5256, 4638, 10066, 269, 634, 4093, 3409, 602, 513, 1906, 4525, 602, 616, 4719, 3310, 32270, 563, 587, 508, 2005, 10953, 593, 2250, 2090, 799, 723, 5781, 4362, 6169, 540, 22420, 1764, 593, 15982, 10066, 267, 855, 938, 1382, 1223, 581, 519, 1360, 1360, 1101, 547, 2015, 1141, 1346, 6090, 666, 581, 1336, 2223, 6811, 11001, 20574, 18771, 753, 7288, 267, 607, 328, 663, 622, 12854, 267, 513, 18673, 538, 519, 2160, 540, 13325, 693, 9628, 563, 17829, 2250, 2090, 8604, 1175, 538, 519, 6090, 13883, 593, 519, 2473, 15694, 269, 2637, 525, 827, 713, 15694, 616, 8806, 5293, 2476, 547, 513, 5067, 689, 741, 3158, 269, 1809, 713, 1382, 8947, 22420, 9623, 593, 782, 15954, 267, 1519, 6090, 998, 519, 546, 23098, 563, 763, 4681, 1397, 602, 9838, 21018, 540, 5027, 593, 1614, 15954, 1185, 1044, 3177, 676, 827, 476, 2568, 260, 540, 28305, 14552, 1369, 519, 1382, 1305, 7258, 519, 827, 476, 2004, 260, 3335, 17191, 676, 4316, 563, 294, 599, 22319, 13891, 622, 454, 288, 7521, 602, 568, 12699, 519, 4527, 540, 513, 29770, 326, 599, 5444, 892, 7153, 689, 519, 476, 1960, 274, 1867, 11540, 1369, 519, 4760, 3163, 676, 1287, 9539, 296, 295, 11001, 25760, 8621, 518, 267, 12854, 269, 2334, 1382, 4448, 5027, 12508, 3823, 519, 2473, 15694, 547, 5256, 15982, 10066, 563, 30706, 2094, 1287, 267, 4145, 21256, 538, 4276, 609, 14496, 540, 891, 4093, 269, 4033, 3744, 616, 3843, 547, 16196, 543, 6166, 8621, 518, 779, 4681, 269, 8621, 518, 666, 849, 581, 9972, 21917, 540, 519, 1459, 1353, 267, 799, 4667, 1369, 519, 4728, 14196, 540, 5274, 21834, 563, 3719, 3744, 2161, 713, 1382, 814, 513, 1585, 1935, 269, 4706, 3804, 7012, 1406, 547, 16196, 1346, 4681, 855, 547, 1413, 585, 6216, 6216, 1007, 22420, 12508, 4448, 609, 5256, 10066, 602, 568, 4638, 563, 587, 508, 7712, 15982, 10066, 568, 713, 2186, 540, 16023, 602, 568, 1950, 649, 616, 2760, 2479, 2693, 547, 1265, 1022, 835, 5444, 602, 11887, 2436, 930, 1560, 568, 28305, 610, 5310, 711, 2223, 3081, 18771, 753, 7288, 269, 29770, 2005, 568, 2693, 547, 581, 513, 7848, 540, 1585, 6090, 9117, 1927, 2059, 609, 5310, 3478, 1927, 609, 8733, 7506, 3034, 303, 770, 2090, 538, 5256, 21054, 723, 2965, 5227, 602, 1063, 476, 2412, 260, 268, 2568, 260, 585, 519, 13260, 538, 15982, 10066, 568, 513, 1267, 540, 6090, 269, 634, 14230, 568, 2219, 1831, 607, 513, 1267, 540, 1604, 543, 829, 577, 766, 824, 1979, 11043, 855, 562, 784, 523, 2045, 4128, 563, 16100, 585, 22985, 2637, 525, 454, 4504, 334, 519, 1382, 267, 3744, 9916, 519, 22420, 17539, 2472, 540, 476, 27174, 9038, 689, 476, 16409, 3885, 609, 513, 7008, 540, 28305, 14552, 563, 763, 22420, 18767, 7000, 513, 24159, 540, 519, 9838, 22420, 4806, 1851, 519, 28305, 16921, 593, 1614, 15954, 2443, 15954, 476, 278, 267, 476, 279, 267, 543, 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 ]
[ 971, 607, 519, 1004, 945, 24964, 547, 519, 561, 2106, 577, 3135, 607, 513, 4129, 542, 269, 634, 1857, 849, 2882, 1346, 945, 22401, 593, 519, 561, 2106, 3481, 1560, 607, 621, 6933, 919, 538, 11147, 543, 538, 2022, 11568, 544, 9229, 2066, 519, 2197, 269, 634, 561, 2106, 4221, 4715, 12386, 22466, 519, 22401, 540, 12303, 3025, 543, 1131, 711, 2291, 5094, 689, 602, 22401, 269, 1133, 16225, 532, 519, 5626, 2360, 540, 713, 3308, 640, 267, 30781, 2297, 28233, 5267, 602, 519, 12873, 2212, 540, 808, 10394, 638, 27713, 568, 4448, 547, 519, 13793, 902, 543, 741, 21849, 270, 23855, 1670, 10063, 2388, 676, 16495, 540, 519, 1259, 1312, 834, 7528, 1600, 519, 16601, 4527, 540, 519, 1857, 267, 607, 513, 16045, 267, 607, 513, 4715, 1807, 267, 607, 513, 7082, 540, 2592, 267, 610, 607, 513, 9878, 5304, 257, 630, 9264, 1040, 769, 2542, 513, 21849, 561, 2106, 4221, 267, 1256, 2372, 650, 781, 267, 519, 5467, 568, 7142, 883, 519, 2990, 540, 10283, 607, 513, 1857, 575, 5074, 2390, 519, 561, 2106, 3481, 1560, 269, 2290, 7475, 519, 3209, 31325, 693, 2372, 650, 781, 1560, 267, 4330, 9240, 5052, 4302, 569, 538, 519, 4845, 834, 1492, 1351, 335, 572, 2220, 26359, 5594, 267, 2560, 922, 3731, 1399, 2370, 4522, 6534, 689, 519, 3196, 540, 519, 18052, 781, 29287, 7485, 267, 1989, 15619, 257, 630, 26297, 267, 8561, 3773, 1040, 4446, 26369, 781, 5467, 568, 1572, 2390, 547, 1745, 20582, 20947, 1996, 519, 1629, 328, 8686, 650, 664, 543, 547, 7119, 538, 519, 1085, 1901, 2998, 908, 4346, 693, 519, 2295, 540, 519, 808, 10394, 638, 27713, 12653, 686, 9508, 10828, 269, 898, 568, 606, 31719, 23892, 2990, 547, 581, 5116, 538, 269, 1809, 4446, 26369, 24714, 547, 2061, 519, 4244, 267, 538, 799, 519, 5467, 7959, 1033, 3737, 267, 610, 9243, 267, 4724, 519, 3584, 540, 561, 2106, 4221, 543, 5126, 538, 519, 2022, 935, 26810, 4639, 563, 1692, 568, 713, 1950, 538, 11437, 540, 519, 808, 10394, 638, 27713, 12653, 686, 9508, 10828, 4448, 547, 519, 811, 1808, 3140, 2796, 540, 4446, 26369, 781, 3209, 267, 799, 568, 519, 6560, 585, 3484, 32305, 262, 2924, 538, 519, 2796, 540, 519, 5250, 540, 519, 772, 293, 310, 286, 1703, 568, 513, 2178, 2631, 602, 607, 513, 13889, 3209, 922, 20116, 568, 6039, 676, 519, 9963, 602, 15746, 14981, 24379, 6547, 267, 519, 2856, 602, 19621, 5126, 949, 3643, 519, 26568, 269, 1656, 2943, 607, 6986, 20947, 5208, 267, 519, 6429, 540, 2372, 650, 781, 561, 2106, 4221, 12679, 1206, 267, 899, 513, 26278, 2942, 267, 1978, 7907, 540, 519, 11636, 5322, 1369, 519, 3209, 781, 3140, 16880, 267, 971, 607, 519, 32593, 775, 540, 519, 932, 5451, 557, 345, 3350, 543, 519, 2379, 4184, 539, 6763, 540, 1582, 12413, 1619, 13994, 4327, 676, 519, 932, 4618, 334, 6107, 543, 2875, 3350, 269, 1724, 1496, 17484, 8525, 476, 4510, 316, 634, 3209, 781, 1152, 3070, 568, 602, 519, 2042, 2611, 796, 637, 9407, 543, 14849, 269, 634, 7399, 585, 3020, 5126, 616, 1065, 5962, 883, 519, 5326, 1543, 540, 513, 2582, 1915, 267, 543, 649, 616, 2451, 1152, 609, 811, 796, 3107, 539, 5208, 267, 5208, 538, 799, 649, 607, 3988, 7119, 630, 14808, 584, 8271, 1040, 22419, 540, 634, 1773, 636, 1773, 636, 17292, 619, 1265, 513, 1514, 13889, 3209, 540, 27436, 3484, 32305, 602, 568, 849, 9244, 267, 543, 14013, 267, 16539, 538, 3695, 519, 796, 637, 9407, 543, 829, 14658, 532, 23543, 540, 519, 2475, 4639, 563, 25405, 1408, 717, 1845, 22138, 6212, 1010, 3119, 1382, 593, 5159, 945, 723, 13269, 27540, 3484, 32305, 538, 519, 2136, 2276, 267, 1519, 23031, 16910, 6139, 320, 700, 1052, 543, 3209, 1235, 3627, 23415, 20198, 267, 31434, 4446, 26369, 267, 543, 4477, 6511, 3057, 17144, 22870, 1090, 2632, 525, 269, 1261, 814, 2854, 3594, 593, 23415, 20198, 543, 606, 2376, 585, 631, 5085, 4785, 593, 2475, 17104, 18691, 1282, 519, 4279, 12870, 269, 1261, 2729, 543, 11414, 538, 22208, 267, 6115, 563, 272, 269, 8074, 519, 8390, 538, 10259, 12653, 686, 9508, 781, 2012, 269, 13038, 29745, 540, 12653, 686, 9508, 616, 851, 540, 519, 10539, 827, 519, 834, 9418, 257, 3140, 4137, 269, 594, 723, 17477, 519, 835, 4446, 26369, 3096, 4849, 950, 7234, 513, 2707, 602, 3096, 606, 4244, 563, 273, 269, 31379, 540, 23374, 781, 3209, 723, 7074, 519, 1950, 2482, 1359, 540, 31180, 543, 17104, 12583, 607, 1134, 607, 519, 19908, 540, 13524, 10601, 19237, 540, 2475, 3961, 269, 6423, 267, 585, 3236, 267, 15608, 3619, 324, 651, 267, 834, 312, 3641, 16819, 543, 519, 17020, 527, 2437, 543, 3627, 24883, 18007, 324, 267, 834, 11947, 3118, 7605, 25053, 4799, 274, 269, 1280, 513, 6476, 540, 8747, 267, 1294, 30511, 2274, 531, 781, 4367, 547, 5020, 543, 24601, 540, 519, 18270, 730, 17020, 527, 808, 10394, 638, 27713, 12653, 686, 9508, 267, 543, 32264, 853, 872, 2421, 267, 834, 297, 10394, 638, 27713, 12653, 686, 9508, 543, 519, 1977, 476, 7277, 279, 4799, 275, 269, 1306, 519, 1101, 3209, 540, 519, 808, 10394, 638, 27713, 12653, 686, 9508, 1650, 543, 519, 4493, 585, 865, 1082, 602, 4553, 267, 23374, 781, 2272, 568, 606, 6654, 3903, 585, 6476, 269, 2274, 531, 9060, 602, 31293, 781, 1433, 849, 6763, 856, 1657, 519, 824, 546, 830, 9089, 267, 12735, 3511, 1242, 8747, 267, 543, 30996, 880, 906, 585, 1896, 4128, 281, 31293, 1705, 513, 9645, 2179, 540, 3140, 1382, 547, 1039, 547, 519, 1650, 282, 646, 8329, 547, 519, 3239, 540, 808, 10394, 638, 27713, 12653, 686, 9508, 538, 14206, 10601, 3013, 630, 20130, 1433, 729, 519, 4493, 585, 513, 21035, 4670, 5148, 543, 646, 9862, 519, 1650, 547, 519, 28120, 32431, 7242, 269, 32264, 853, 872, 2421, 3947, 721, 1082, 4128, 547, 2628, 3007, 547, 519, 2283, 1049, 6760, 2914, 3876, 6589, 971, 607, 602, 3370, 538, 519, 4993, 17318, 30657, 8291, 563, 276, 269, 18786, 609, 519, 19506, 1353, 676, 2549, 2946, 878, 334, 623, 1563, 525, 267, 519, 23725, 334, 814, 1044, 6444, 607, 513, 4831, 13463, 28282, 545, 1106, 14775, 547, 2022, 935, 26810, 19178, 538, 519, 25763, 269, 6423, 623, 1563, 525, 267, 834, 4415, 3571, 623, 626, 565, 538, 3571, 7435, 4799, 277, 269, 12411, 525, 540, 834, 297, 10394, 638, 27713, 12653, 686, 9508, 257, 616, 689, 2274, 531, 561, 16282, 1460, 1700, 331, 16282, 3495, 563, 278, 269, 1280, 670, 10849, 321, 1177, 332, 267, 23799, 1026, 5024, 5763, 568, 835, 540, 8370, 10305, 540, 519, 834, 333, 984, 548, 3775, 828, 257, 630, 5408, 476, 5392, 1700, 7906, 1916, 279, 269, 634, 8144, 2274, 531, 3096, 568, 2629, 1934, 267, 1317, 824, 11904, 902, 540, 834, 5719, 631, 2946, 343, 4815, 1965, 4993, 257, 6336, 922, 2631, 7357, 269, 17722, 12312, 333, 747, 11420, 781, 561, 10719, 4967, 547, 7147, 5336, 1410, 4618, 27079, 8535, 14377, 519, 14235, 607, 834, 5804, 6792, 568, 4993, 1315, 1317, 2696, 4941, 621, 602, 1259, 2437, 799, 1223, 1496, 17484, 8525, 476, 3393, 316, 581, 3144, 547, 1611, 519, 3169, 6587, 267, 602, 4993, 6923, 630, 15965, 710, 569, 264, 2501, 689, 267, 568, 11843, 689, 267, 6792, 547, 519, 2136, 2276, 630, 276, 1916, 280, 269, 769, 519, 1808, 3903, 540, 4563, 19258, 267, 4446, 26369, 20964, 513, 1978, 6252, 1143, 1063, 519, 943, 3415, 3655, 9809, 3547, 540, 519, 834, 335, 12065, 334, 6879, 3591, 257, 538, 519, 5375, 9835, 324, 543, 4563, 19258, 607, 513, 7262, 12835, 269, 3502, 1152, 616, 25306, 781, 543, 2372, 650, 781, 7262, 1268, 2801, 31498, 600, 725, 540, 22666, 4191, 689, 519, 14070, 4639, 540, 546, 830, 9089, 543, 21035, 267, 855, 4563, 19258, 5128, 729, 547, 513, 1804, 4110, 14070, 269, 634, 834, 13092, 257, 4563, 19258, 729, 4258, 3122, 12157, 956, 267, 513, 2283, 1049, 3942, 18396, 778, 3775, 828, 945, 13234, 538, 7187, 4993, 543, 7013, 14822, 267, 1634, 585, 1010, 9543, 2006, 569, 2184, 8864, 543, 6028, 6965, 693, 519, 6760, 6429, 269, 12157, 956, 2965, 22666, 519, 4563, 19258, 2012, 689, 513, 13777, 22618, 7262, 1650, 267, 834, 763, 8865, 540, 14400, 7615, 2437, 2854, 676, 5261, 8361, 10910, 3941, 630, 8974, 519, 15554, 7716, 6970, 868, 517, 264, 543, 17626, 1242, 538, 476, 6942, 272, 538, 519, 15762, 26963, 334, 5742, 630, 19365, 19811, 543, 23745, 2274, 1597, 324, 267, 4563, 19258, 267, 476, 7597, 1700, 3583, 282, 18039, 13332, 267, 1196, 1421, 717, 836, 9094, 267, 4210, 785, 6840, 267, 23703, 619, 267, 543, 774, 773, 1407, 267, 476, 280, 1700, 1724, 1916, 1015, 269, 594, 993, 967, 20623, 1540, 547, 519, 4432, 16910, 5964, 6019, 7732, 585, 3246, 5363, 1344, 827, 1773, 659, 969, 4068, 269, 898, 568, 849, 1271, 547, 4063, 602, 538, 2487, 1296, 267, 1773, 659, 969, 4068, 267, 513, 4884, 2899, 1634, 607, 834, 295, 836, 26165, 2437, 814, 1044, 5258, 936, 922, 3140, 3239, 543, 729, 2377, 549, 6150, 936, 519, 11556, 547, 946, 606, 3239, 540, 513, 1100, 846, 543, 5924, 519, 1913, 834, 24874, 670, 836, 26165, 257, 593, 1857, 3028, 6472, 630, 1492, 8545, 729, 7550, 543, 711, 519, 5449, 1916, 1556, 269, 6423, 8230, 30781, 2297, 28233, 267, 22118, 4221, 538, 519, 4639, 267, 476, 1321, 1700, 1691, 267, 476, 2918, 1700, 4097, 282, 7812, 623, 10623, 11717, 267, 681, 965, 10456, 267, 476, 5952, 1700, 11011, 282, 543, 5261, 29336, 10247, 543, 1849, 633, 30197, 267, 834, 300, 340, 15300, 11188, 1133, 657, 2677, 935, 665, 573, 657, 630, 298, 2683, 676, 31080, 32148, 1040, 4840, 1321, 269, 18007, 324, 4967, 602, 519, 10419, 6672, 540, 2475, 16809, 538, 519, 9161, 270, 3667, 783, 608, 528, 322, 3359, 568, 3908, 547, 834, 16647, 983, 3332, 267, 18691, 267, 543, 1256, 1747, 5991, 1868, 540, 2413, 4993, 2437, 23243, 891, 8747, 689, 519, 834, 322, 3300, 16162, 15479, 633, 267, 1419, 4550, 12258, 11102, 16266, 534, 543, 11204, 8747, 2437, 971, 607, 623, 32631, 715, 518, 19085, 781, 27975, 326, 528, 586, 16334, 518, 974, 632, 808, 10394, 638, 27713, 12653, 2884, 320, 630, 3422, 278, 1040, 1656, 2943, 267, 519, 23725, 657, 540, 834, 297, 10394, 638, 27713, 12653, 686, 9508, 257, 543, 267, 952, 594, 723, 1500, 1250, 2013, 538, 519, 2034, 3368, 540, 713, 1557, 267, 31434, 4446, 26369, 781, 7664, 1397, 2963, 540, 2757, 543, 5499, 1884, 545, 565, 11102, 630, 4842, 517, 26810, 264, 1427, 32478, 1369, 519, 2136, 2276, 563, 1724, 269, 1280, 932, 5451, 557, 345, 781, 6138, 540, 32593, 775, 267, 1294, 10496, 13196, 2274, 11803, 476, 29483, 1700, 10170, 282, 9400, 717, 5142, 342, 1245, 1642, 10011, 21034, 543, 9400, 25661, 807, 476, 5379, 1700, 5325, 269, 1280, 6054, 540, 519, 932, 4618, 334, 2875, 30819, 1926, 3350, 267, 1294, 267, 585, 1383, 267, 834, 763, 9466, 645, 699, 1206, 257, 543, 834, 14976, 4643, 10507, 2869, 3770, 632, 10897, 339, 331, 17505, 257, 538, 30511, 4406, 1372, 345, 543, 12254, 6008, 10719, 267, 476, 24062, 1700, 276, 267, 476, 29710, 1700, 277, 269, 1496, 17484, 8525, 476, 5379, 316, 0, 19878, 476, 1321, 267, 476, 1001, 280, 5788, 634, 20548, 26021, 18242, 4354, 557, 543, 15783, 12654, 269, 674, 8787, 1118, 3664, 827, 1018, 7274, 547, 3761, 1759, 593, 519, 12434, 789, 2503, 547, 7118, 269, 4515, 1080, 267, 538, 2490, 267, 616, 849, 5462, 676, 519, 3902, 540, 519, 17016, 519, 6109, 23619, 543, 676, 519, 3902, 540, 519, 11378, 267, 899, 454, 338, 1828, 17907, 783, 2173, 1678, 12685, 2173, 659, 19172, 21643, 269, 1411, 2811, 1210, 606, 856, 6361, 15082, 4528, 540, 5769, 25817, 269, 1677, 19584, 6298, 8598, 12975, 543, 519, 9962, 4950, 5488, 543, 811, 454, 267, 256, 3847, 1189, 6521, 540, 519, 4959, 7455, 269, 4985, 547, 5839, 19172, 21643, 570, 8008, 2975, 476, 275, 634, 4959, 6441, 300, 7844, 269, 476, 272, 269, 276, 269, 634, 5370, 2344, 1744, 22284, 540, 519, 4959, 7455, 634, 4959, 6441, 300, 2203, 3933, 8767, 3609, 1879, 2724, 3761, 4679, 1677, 2226, 519, 11466, 267, 519, 3747, 585, 2724, 1058, 979, 4972, 540, 13188, 454, 276, 2395, 3516, 5788, 25845, 10515, 335, 7637, 568, 513, 5449, 4871, 518, 267, 2883, 5856, 267, 543, 606, 2278, 540, 513, 2487, 1433, 1572, 634, 8865, 585, 4658, 781, 26592, 661, 2084, 269, 2701, 26082, 6424, 23894, 10290, 547, 1865, 713, 1433, 563, 763 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 763, 476, 276, 31981, 2334, 1034, 4769, 1405, 5700, 6168, 3778, 2986, 645, 1731, 534, 518, 454, 763, 3148, 540, 645, 1731, 534, 518, 267, 15198, 2066, 7187, 14076, 553, 22474, 3557, 538, 3127, 267, 729, 4505, 1634, 607, 808, 836, 14994, 269, 898, 3769, 519, 1459, 6377, 13102, 540, 645, 1731, 534, 518, 267, 932, 15843, 267, 717, 22462, 26196, 267, 543, 12390, 636, 30865, 327, 269, 898, 568, 22112, 593, 519, 5045, 676, 3057, 8705, 543, 808, 9820, 531, 1067, 4525, 267, 593, 519, 7532, 676, 31828, 1067, 5336, 518, 342, 4673, 3148, 563, 289, 1731, 534, 518, 1533, 729, 513, 19036, 569, 1533, 602, 729, 8547, 538, 519, 476, 1428, 628, 2540, 538, 713, 3148, 269, 2991, 4742, 513, 3703, 2149, 28672, 538, 476, 8687, 279, 267, 621, 30174, 2394, 16172, 1310, 3127, 781, 14412, 538, 476, 3707, 278, 269, 13405, 547, 519, 4571, 476, 1428, 628, 2540, 267, 519, 3148, 602, 568, 1631, 645, 1731, 534, 518, 729, 513, 3046, 1066, 19069, 1572, 808, 836, 14994, 563, 305, 7776, 645, 11986, 3964, 519, 2749, 540, 645, 1731, 534, 518, 538, 476, 16825, 279, 269, 1261, 729, 519, 5067, 540, 681, 7776, 808, 617, 3873, 540, 519, 681, 987, 528, 28334, 267, 519, 13653, 540, 808, 617, 327, 20580, 543, 22482, 519, 7361, 25545, 1858, 538, 519, 5087, 540, 14076, 553, 22474, 563, 17809, 12097, 676, 513, 30065, 6085, 676, 1010, 4651, 267, 645, 11986, 2451, 3057, 8705, 630, 297, 617, 327, 20580, 264, 609, 1010, 11515, 918, 663, 327, 7356, 547, 1711, 1010, 1378, 10806, 563, 7628, 1010, 3460, 267, 645, 11986, 11074, 693, 2677, 18255, 758, 1141, 646, 31570, 519, 7793, 545, 31016, 328, 631, 1092, 585, 1200, 25736, 543, 1205, 4412, 1127, 1221, 602, 646, 1131, 581, 3811, 563, 21886, 2227, 3022, 676, 1200, 1489, 267, 645, 11986, 3576, 5413, 540, 519, 4835, 15180, 1845, 540, 519, 808, 520, 804, 753, 547, 1286, 557, 856, 1010, 1378, 8513, 538, 519, 834, 297, 836, 14994, 257, 3148, 540, 14076, 553, 22474, 563, 15987, 621, 729, 538, 519, 774, 541, 19164, 267, 645, 1731, 534, 518, 729, 2808, 606, 522, 12118, 593, 519, 4123, 8905, 1063, 6239, 5607, 543, 519, 30899, 520, 5032, 607, 621, 1185, 7850, 5614, 1216, 269, 645, 11986, 781, 2012, 729, 7923, 547, 519, 2749, 646, 3710, 543, 547, 519, 1533, 540, 645, 1731, 534, 518, 9497, 1492, 11175, 540, 645, 11986, 8442, 602, 646, 3964, 563, 289, 11986, 3710, 513, 6830, 538, 476, 15704, 279, 267, 799, 568, 1631, 538, 21219, 267, 543, 513, 4627, 1296, 2663, 513, 1007, 6830, 729, 3710, 827, 476, 272, 269, 276, 5998, 689, 519, 2749, 8998, 267, 1634, 607, 519, 9947, 26196, 327, 10783, 563, 32481, 513, 2540, 1310, 681, 7776, 645, 11986, 8547, 645, 1731, 534, 518, 267, 519, 1533, 781, 6830, 17480, 25577, 896, 519, 15795, 14076, 320, 267, 681, 2967, 19453, 10202, 267, 945, 12199, 689, 476, 14991, 272, 547, 476, 14065, 272, 563, 7628, 519, 28753, 531, 7276, 781, 4341, 538, 519, 2197, 267, 14076, 320, 681, 2967, 19453, 7608, 519, 647, 10045, 664, 1399, 540, 519, 28753, 1023, 543, 4371, 513, 1164, 7584, 607, 606, 7952, 2489, 693, 519, 5480, 540, 519, 14890, 13019, 8663, 543, 1010, 5067, 519, 14890, 808, 1695, 836, 597, 563, 305, 2967, 19453, 781, 3811, 4108, 7518, 1080, 267, 799, 3238, 10888, 3368, 540, 631, 1168, 541, 10806, 585, 519, 7276, 267, 4465, 1864, 934, 565, 3547, 543, 12587, 689, 519, 28753, 531, 900, 30752, 563, 3891, 729, 2016, 519, 795, 698, 15077, 630, 4133, 264, 540, 30899, 520, 543, 8738, 7315, 20580, 269, 2060, 519, 1804, 8907, 12236, 689, 891, 795, 698, 15077, 267, 646, 3710, 519, 932, 842, 600, 8643, 667, 4026, 630, 21801, 26196, 327, 6830, 264, 593, 513, 10750, 799, 814, 606, 3328, 15038, 540, 476, 31318, 3952, 630, 15996, 544, 1916, 3891, 729, 606, 4274, 538, 6575, 543, 6189, 267, 543, 519, 1702, 646, 9715, 1282, 1010, 11564, 13383, 568, 993, 2952, 10630, 538, 519, 3875, 20375, 646, 3710, 693, 519, 9947, 26196, 327, 6830, 563, 300, 1695, 541, 24652, 10127, 534, 19453, 267, 945, 12199, 689, 476, 14321, 272, 547, 476, 14917, 280, 267, 896, 519, 647, 10045, 664, 1399, 540, 519, 28753, 1023, 267, 3710, 519, 10127, 534, 10067, 531, 19289, 269, 13536, 17710, 3773, 811, 19683, 543, 23598, 547, 713, 10067, 531, 563, 2304, 1575, 19453, 795, 328, 267, 945, 12199, 689, 476, 14917, 280, 547, 476, 15433, 279, 267, 1500, 8101, 23937, 547, 519, 6830, 1950, 267, 609, 1007, 5493, 2167, 543, 519, 24789, 3570, 10116, 267, 513, 10424, 23029, 585, 2021, 543, 1453, 563, 3891, 1201, 7875, 1639, 519, 10127, 534, 10067, 531, 609, 513, 4144, 9774, 25829, 5025, 332, 630, 21504, 5304, 10689, 264, 543, 1572, 621, 519, 1323, 1575, 10067, 531, 269, 26527, 24652, 717, 1690, 19453, 267, 945, 12199, 689, 476, 14690, 277, 547, 476, 9965, 278, 1201, 7875, 1639, 519, 932, 18588, 10067, 531, 630, 1492, 9855, 19289, 1916, 7628, 519, 476, 1240, 628, 2540, 267, 972, 729, 606, 954, 31037, 710, 2112, 1063, 519, 17710, 540, 645, 1731, 534, 518, 543, 808, 617, 327, 20580, 543, 849, 10838, 824, 555, 752, 2720, 267, 799, 729, 2322, 1524, 676, 3703, 10136, 538, 519, 476, 866, 628, 2540, 563, 16729, 26527, 24652, 717, 1690, 19453, 267, 26527, 24652, 5080, 520, 19453, 12199, 689, 476, 9965, 278, 547, 476, 9264, 279, 543, 20662, 880, 569, 21243, 519, 5304, 10689, 630, 5408, 14745, 264, 609, 4837, 543, 18512, 5862, 1740, 563, 15152, 513, 14097, 540, 14063, 1097, 9896, 538, 476, 8687, 279, 267, 1282, 26527, 24652, 5080, 520, 19453, 781, 12081, 267, 645, 1731, 534, 518, 3357, 896, 519, 647, 10045, 664, 1399, 540, 519, 3703, 267, 1310, 799, 519, 26527, 1690, 553, 540, 645, 1731, 534, 518, 16539, 8185, 538, 1201, 7875, 5109, 9947, 26196, 327, 6830, 563, 291, 2426, 541, 19453, 267, 945, 556, 11220, 689, 476, 6942, 273, 547, 476, 6642, 278, 267, 3710, 519, 14068, 531, 10067, 531, 267, 519, 1412, 933, 1430, 19289, 3299, 865, 3957, 538, 2070, 540, 513, 7206, 540, 12269, 543, 9991, 4764, 267, 513, 4686, 2680, 538, 25545, 645, 1731, 534, 518, 563, 14197, 26527, 24652, 717, 18553, 19453, 267, 945, 12199, 689, 476, 6642, 278, 547, 476, 3707, 274, 267, 729, 519, 1655, 8153, 540, 519, 14076, 553, 22474, 2379, 806, 543, 729, 513, 19463, 540, 519, 3703, 30647, 3266, 903, 540, 3127, 563, 3891, 729, 12912, 513, 26427, 2155, 6387, 540, 519, 11352, 540, 519, 10060, 540, 3127, 267, 6039, 607, 513, 4759, 540, 519, 15875, 2782, 16410, 6839, 267, 6719, 3127, 693, 519, 15875, 4762, 3720, 1282, 519, 3689, 2622, 2782, 543, 519, 3703, 7276, 693, 519, 12411, 320, 14792, 13458, 10985, 563, 14367, 9295, 547, 519, 2679, 2534, 538, 9947, 26196, 327, 3238, 5094, 31508, 585, 1857, 543, 4357, 9458, 538, 519, 717, 18553, 10067, 531, 543, 513, 546, 7875, 541, 10689, 585, 6101, 3252, 269, 1261, 849, 3710, 519, 717, 18553, 715, 12685, 553, 20066, 267, 799, 814, 20610, 693, 519, 13675, 1273, 1470, 563, 1607, 19289, 729, 2966, 676, 11184, 15656, 4210, 15586, 15243, 267, 519, 3791, 540, 519, 1007, 5493, 2167, 3710, 538, 645, 1731, 534, 518, 269, 1261, 3957, 519, 2679, 700, 531, 3258, 327, 20066, 538, 22632, 540, 1010, 4651, 543, 6410, 1010, 1292, 15335, 972, 689, 9947, 26196, 327, 10783, 538, 476, 5002, 273, 563, 763, 10689, 1141, 646, 4371, 1010, 13642, 808, 889, 850, 324, 630, 514, 476, 4350, 279, 264, 607, 645, 1731, 534, 518, 781, 14610, 568, 1631, 513, 9754, 563, 294, 18553, 19453, 781, 5067, 267, 31924, 29731, 11184, 19759, 592, 19453, 267, 519, 962, 12320, 541, 24652, 540, 645, 1731, 534, 518, 267, 16309, 1010, 4651, 607, 26527, 24652, 538, 476, 3707, 274, 855, 934, 17660, 1010, 1533, 547, 519, 5742, 540, 3127, 538, 476, 3707, 280, 563, 300, 1695, 541, 24652, 19759, 592, 19453, 5747, 538, 476, 4198, 271, 267, 1373, 16309, 538, 519, 2140, 676, 1010, 5067, 267, 31016, 328, 19453, 630, 4572, 275, 268, 2735, 279, 1040, 634, 9576, 7731, 1869, 2729, 538, 513, 24194, 538, 700, 531, 3258, 327, 20066, 267, 799, 789, 723, 10736, 883, 513, 6561, 15678, 269, 0, 299, 11229, 20365, 1533, 779, 11156, 630, 23753, 553, 264, 543, 4983, 519, 2101, 2609, 543, 4930, 540, 519, 11156, 563, 18800, 1080, 9115, 543, 3252, 269, 9612, 585, 1344, 827, 519, 16324, 267, 3872, 267, 543, 1514, 3028, 1949, 6035, 538, 707, 1533, 543, 519, 7616, 2959, 585, 707, 1533, 2229, 563, 2237, 320, 476, 272, 267, 30588, 268, 547, 476, 272, 267, 6110, 30087, 1957, 602, 9607, 519, 1739, 912, 6440, 1215, 616, 519, 1292, 3334, 540, 2229, 1305, 909, 676, 707, 1533, 779, 11156, 888, 6440, 1215, 616, 519, 2533, 538, 707, 1533, 17101, 676, 519, 1533, 779, 11156, 888, 6440, 10576, 693, 2547, 835, 3028, 689, 1142, 16324, 267, 3872, 267, 543, 1514, 3028, 1062, 563, 6440, 10576, 1079, 2959, 540, 2101, 7616, 585, 707, 1533, 543, 1018, 2101, 3292, 610, 2533, 4309, 519, 7616, 563, 26705, 20365, 1957, 5812, 609, 14905, 4808, 454, 8448, 5439, 267, 2533, 543, 2055, 912, 2691, 596, 946, 7433, 20055, 267, 596, 4688, 835, 3407, 2443, 29376, 292, 454, 2791, 666, 6108, 621, 585, 811, 1271, 1919, 982, 1957, 1603, 269, 0, 763, 13372, 685, 7826, 5354, 814, 922, 8129, 538, 519, 10195, 685, 1279, 1974, 607, 513, 5053, 12733, 267, 543, 1402, 525, 723, 1500, 519, 811, 982, 476, 277, 267, 1822, 28902, 7552, 689, 519, 28912, 513, 1906, 2053, 1354, 269, 15352, 6754, 17886, 10272, 519, 2197, 538, 476, 3192, 271, 267, 543, 853, 269, 3627, 6754, 4083, 14612, 547, 519, 13372, 7466, 607, 28831, 630, 514, 476, 2735, 272, 543, 476, 1960, 276, 1916, 3674, 519, 13372, 513, 7826, 2197, 888, 763, 13372, 23217, 19646, 547, 581, 519, 1152, 4168, 4182, 538, 5607, 269, 2859, 982, 476, 10436, 2600, 540, 519, 2551, 568, 4936, 7826, 267, 476, 277, 2600, 4866, 547, 1585, 3084, 1242, 4168, 1381, 338, 267, 543, 1776, 476, 273, 2600, 4866, 547, 1134, 936, 476, 1911, 17557, 29559, 563, 1692, 1705, 519, 13372, 1831, 7826, 888, 763, 1101, 6592, 7503, 538, 519, 13372, 3576, 1747, 593, 713, 6532, 593, 10732, 267, 4989, 476, 1691, 267, 476, 13923, 272, 950, 519, 3751, 543, 10348, 540, 9919, 25975, 543, 741, 5396, 17947, 519, 7826, 5132, 1282, 519, 10732, 2527, 269, 2201, 602, 1554, 4805, 267, 2687, 547, 835, 2272, 267, 7395, 749, 534, 779, 20577, 19071, 1242, 909, 547, 5216, 4627, 9919, 321, 10224, 657, 563, 1692, 1705, 30871, 1860, 13372, 888, 7712, 519, 7810, 1974, 267, 30871, 814, 1044, 519, 22294, 540, 27208, 3961, 585, 6634, 538, 519, 13372, 269, 1635, 519, 3735, 5053, 7810, 1974, 267, 519, 7826, 9753, 543, 741, 2003, 1513, 941, 519, 5763, 5006, 543, 1034, 20833, 3532, 2609, 1369, 27208, 2486, 269, 6693, 1432, 729, 519, 4984, 540, 13372, 1354, 8567, 888, 29378, 27000, 12563, 10764, 630, 3712, 937, 1947, 5219, 547, 607, 1323, 22451, 610, 24872, 16117, 1070, 519, 2757, 4984, 540, 21309, 16394, 799, 2392, 919, 27000, 8567, 543, 5771, 267, 568, 13736, 676, 606, 6059, 476, 273, 260, 540, 519, 2551, 267, 1500, 909, 540, 1082, 6805, 9082, 267, 17174, 2516, 267, 543, 1004, 945, 723, 26871, 1540, 883, 6693, 1432, 568, 519, 1101, 4984, 538, 519, 13372, 888, 2005, 568, 1767, 602, 5771, 1101, 3357, 547, 938, 24528, 538, 9650, 3570, 334, 538, 519, 476, 1724, 628, 2540, 267, 1818, 621, 519, 9510, 6592, 1395, 6139, 2065, 4984, 538, 519, 13372, 269, 5771, 729, 27333, 4547, 676, 7332, 18318, 689, 519, 14655, 13323, 267, 8828, 3127, 267, 543, 689, 1896, 521, 23546, 622, 6608, 538, 519, 30017, 5246, 28396, 563, 3674, 13372, 513, 3909, 2197, 888, 22146, 640, 269, 634, 13372, 568, 519, 1152, 2197, 538, 5607, 538, 799, 8567, 568, 519, 3084, 4984, 269, 901, 568, 4440, 519, 1267, 540, 519, 5053, 7826, 12081, 538, 634, 13372, 585, 811, 982, 476, 4968, 1296, 269, 15215, 1869, 4249, 513, 3844, 1909, 538, 519, 2729, 540, 1034, 27208, 4892, 563, 1432, 568, 519, 4984, 540, 519, 13372, 1282, 5545, 1974, 888, 4913, 267, 538, 5545, 268, 31039, 11182, 540, 14913, 5607, 267, 2523, 538, 519, 13372, 267, 1614, 5553, 540, 5053, 4341, 689, 519, 4571, 1606, 4869, 7570, 2540 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 20206, 1637, 585, 13621, 519, 2627, 540, 519, 4835, 22285, 532, 865, 602, 621, 740, 12742, 547, 519, 3330, 540, 519, 12699, 5007, 20206, 1637, 267, 799, 13604, 568, 22799, 1524, 689, 519, 3544, 547, 1450, 519, 22285, 532, 547, 10826, 563, 1556, 269, 634, 1505, 2687, 547, 454, 763, 1459, 8798, 12211, 547, 513, 11195, 9300, 607, 1134, 607, 547, 513, 1505, 585, 5663, 1767, 11195, 9300, 563, 15447, 333, 11195, 8596, 540, 519, 1826, 602, 30397, 519, 3448, 11195, 540, 2011, 267, 676, 21716, 1216, 689, 519, 19355, 883, 513, 12249, 267, 1141, 519, 6240, 540, 7893, 568, 267, 547, 3713, 519, 1689, 540, 519, 30526, 3586, 610, 19428, 540, 713, 12249, 607, 513, 1599, 540, 519, 3448, 11195, 267, 814, 519, 17697, 8467, 267, 602, 789, 14016, 622, 936, 942, 267, 952, 789, 4749, 616, 6534, 547, 7873, 14819, 2175, 267, 7509, 543, 13897, 269, 1306, 513, 12343, 540, 713, 267, 1034, 11195, 8596, 616, 9280, 609, 930, 2186, 540, 8825, 20206, 1637, 563, 24109, 7190, 8596, 540, 713, 1826, 616, 18562, 5667, 340, 1243, 585, 946, 896, 2175, 609, 28198, 543, 7509, 269, 634, 2601, 585, 713, 568, 267, 602, 519, 4666, 1606, 10628, 4320, 949, 581, 1896, 8536, 6515, 274, 267, 3850, 519, 2179, 540, 1216, 7873, 14819, 3330, 519, 20206, 1637, 4666, 1606, 10628, 4320, 547, 18645, 543, 1205, 865, 1804, 267, 602, 621, 3587, 513, 1713, 1966, 1317, 540, 519, 26464, 3441, 621, 949, 2014, 593, 519, 15392, 3693, 563, 763, 1804, 2179, 540, 27772, 1216, 3217, 1360, 1279, 942, 547, 18493, 622, 543, 27556, 856, 540, 519, 20206, 1637, 269, 901, 568, 513, 2101, 19319, 585, 1210, 713, 2186, 540, 11195, 9300, 538, 6632, 543, 7873, 14819, 1604, 563, 2304, 1843, 540, 519, 1459, 8798, 568, 547, 28025, 610, 14356, 7753, 519, 1657, 11393, 543, 19363, 540, 519, 1991, 1148, 269, 2859, 4481, 267, 621, 568, 606, 1843, 547, 1683, 513, 11195, 9300, 799, 949, 581, 1031, 538, 6632, 543, 7873, 14819, 5054, 563, 4322, 3615, 568, 6913, 676, 1797, 540, 519, 11195, 9300, 2687, 547, 519, 813, 2105, 6811, 563, 13146, 8244, 540, 9300, 2609, 609, 1507, 10155, 2306, 621, 2009, 547, 4020, 11195, 8596, 609, 513, 1360, 1507, 4666, 1606, 10628, 4320, 267, 676, 1507, 568, 538, 713, 2796, 5921, 2630, 476, 1911, 6515, 274, 563, 13010, 267, 513, 4052, 3337, 585, 519, 4666, 1606, 10628, 4320, 899, 513, 959, 15635, 730, 13409, 610, 513, 25041, 564, 899, 13811, 949, 581, 5413, 3585, 267, 1141, 513, 24338, 9245, 6227, 519, 2462, 1439, 540, 602, 13409, 610, 13811, 543, 519, 9300, 3693, 568, 5116, 538, 519, 6587, 4130, 1439, 269, 634, 20425, 2627, 540, 519, 13409, 610, 25041, 564, 8546, 568, 5631, 1500, 543, 4646, 540, 519, 22285, 532, 1570, 543, 519, 8559, 538, 519, 5007, 20206, 1637, 949, 849, 581, 513, 851, 540, 713, 20425, 2627, 269, 634, 4463, 540, 519, 4666, 1606, 10628, 4320, 568, 1500, 607, 1507, 607, 2009, 4227, 519, 4320, 9935, 269, 634, 1858, 540, 519, 570, 1030, 23127, 9245, 568, 6353, 676, 1373, 1804, 1369, 4052, 7182, 267, 538, 1931, 547, 11694, 519, 2500, 1858, 602, 1216, 32350, 568, 886, 6748, 610, 7244, 998, 563, 6097, 547, 519, 8798, 519, 11195, 9300, 568, 6353, 676, 519, 4999, 540, 513, 1507, 4666, 1606, 10628, 4320, 543, 513, 1804, 9245, 1858, 267, 799, 10607, 519, 11195, 8596, 2702, 547, 4431, 3533, 547, 2242, 540, 11195, 5834, 538, 519, 19355, 2011, 543, 676, 513, 1507, 4666, 1606, 10628, 4320, 602, 1152, 3568, 513, 2370, 2179, 540, 1216, 32350, 602, 949, 7873, 1619, 1369, 621, 269, 1879, 972, 568, 27772, 1216, 538, 519, 4666, 2230, 4320, 267, 519, 9300, 3693, 568, 15459, 609, 1216, 543, 30397, 476, 1911, 260, 3448, 11195, 267, 855, 950, 519, 3448, 11195, 540, 519, 19355, 2011, 568, 1447, 982, 476, 1911, 9077, 519, 19355, 568, 2111, 3533, 547, 10110, 543, 4894, 1216, 689, 519, 4666, 1606, 10628, 4320, 3850, 519, 9300, 3693, 547, 9156, 689, 513, 15459, 2783, 1394, 547, 3339, 8417, 269, 10738, 519, 6427, 633, 2856, 513, 5223, 1063, 606, 1858, 540, 519, 9245, 538, 6935, 547, 519, 4666, 1606, 10628, 4320, 949, 581, 3677, 982, 476, 272, 270, 276, 630, 7825, 6629, 272, 1070, 23295, 3677, 982, 476, 272, 270, 274, 630, 7825, 6629, 272, 1070, 811, 23295, 476, 272, 270, 273, 630, 7825, 6629, 272, 1070, 1034, 23295, 3677, 982, 476, 272, 270, 272, 630, 7825, 6629, 272, 1916, 6097, 569, 267, 519, 8798, 12211, 547, 513, 11195, 9300, 267, 799, 568, 1500, 7347, 538, 1931, 547, 16641, 1216, 543, 7873, 14819, 1604, 269, 898, 568, 6353, 676, 32750, 540, 513, 11195, 9300, 3693, 883, 513, 22285, 532, 1500, 540, 513, 5687, 31129, 1570, 610, 513, 1079, 5057, 4874, 675, 628, 2033, 3134, 20293, 610, 30736, 16213, 799, 740, 12742, 547, 519, 4835, 2627, 540, 513, 4496, 610, 5068, 20206, 1637, 267, 8027, 610, 524, 2084, 267, 8032, 899, 513, 23555, 610, 8546, 538, 799, 621, 568, 8659, 563, 288, 1507, 610, 12715, 538, 519, 20206, 1637, 543, 519, 22285, 532, 3056, 547, 519, 15392, 3693, 267, 568, 4988, 676, 513, 24338, 570, 1030, 23127, 9245, 267, 799, 568, 1350, 4240, 547, 519, 5007, 2627, 540, 519, 20206, 1637, 269, 634, 9300, 3693, 267, 799, 568, 6213, 547, 519, 3448, 11195, 540, 2011, 267, 568, 18549, 6534, 547, 519, 19355, 5790, 676, 18236, 540, 2011, 998, 519, 24338, 9245, 267, 799, 814, 519, 1599, 547, 2149, 519, 9300, 3693, 676, 5248, 908, 621, 28729, 689, 519, 19355, 5790, 563, 763, 9245, 799, 23295, 568, 1500, 540, 24338, 570, 1030, 23127, 630, 8976, 25539, 1070, 568, 15449, 762, 547, 2011, 543, 9362, 899, 1216, 32350, 267, 855, 3927, 7161, 4483, 540, 5277, 1216, 543, 7452, 5536, 1519, 6878, 899, 3282, 12772, 267, 4551, 267, 3092, 563, 12234, 267, 519, 11195, 9300, 2687, 547, 519, 8798, 814, 513, 4070, 1141, 519, 2450, 540, 519, 4320, 1063, 519, 9245, 543, 519, 9300, 3693, 267, 568, 2966, 547, 581, 1507, 538, 1931, 547, 7413, 519, 2179, 540, 1216, 6675, 602, 949, 7873, 839, 622, 547, 5277, 1216, 543, 6632, 519, 9300, 3693, 538, 713, 4320, 269, 901, 4320, 1063, 519, 9245, 543, 519, 9300, 3693, 786, 2417, 538, 713, 3561, 581, 5219, 547, 607, 519, 4666, 1606, 10628, 4320, 563, 6097, 547, 519, 6427, 633, 2856, 267, 519, 4666, 1606, 10628, 4320, 568, 1447, 982, 476, 1911, 6515, 274, 267, 23295, 1447, 982, 476, 2004, 6515, 274, 267, 811, 23295, 1447, 982, 476, 1839, 6515, 274, 543, 1034, 23295, 1063, 476, 272, 268, 1428, 6515, 274, 269, 4746, 519, 3742, 9245, 1858, 949, 581, 3152, 982, 476, 1015, 6515, 273, 269, 1635, 1210, 20749, 2139, 9300, 2609, 543, 676, 4227, 519, 4666, 1606, 10628, 4320, 676, 827, 476, 274, 9753, 540, 9588, 3379, 547, 2147, 12531, 1336, 538, 2757, 11195, 8596, 267, 609, 513, 8825, 20206, 1637, 540, 519, 9300, 3693, 606, 11880, 1304, 4070, 540, 519, 6427, 633, 11195, 9300, 568, 5833, 563, 763, 22285, 532, 1570, 1031, 538, 519, 8798, 949, 581, 513, 1079, 16327, 9426, 4874, 675, 628, 2033, 267, 3134, 20293, 610, 30736, 1570, 267, 799, 740, 12742, 547, 519, 4835, 2627, 540, 519, 5007, 20206, 1637, 269, 634, 22285, 532, 1570, 949, 849, 581, 513, 5687, 334, 5068, 1570, 609, 1970, 25297, 267, 799, 568, 5078, 585, 1970, 25774, 13297, 22285, 532, 540, 5907, 3334, 563, 763, 5413, 540, 519, 13297, 22285, 532, 568, 519, 2110, 27955, 942, 540, 1447, 982, 513, 8792, 269, 634, 8798, 849, 12211, 547, 513, 1505, 585, 5663, 519, 11195, 9300, 676, 513, 22285, 532, 1184, 799, 538, 4999, 609, 513, 8022, 1184, 568, 1818, 519, 5068, 22285, 532, 1570, 15666, 3927, 547, 519, 3330, 540, 519, 4496, 20206, 1637, 269, 15380, 519, 22285, 532, 568, 1500, 538, 1079, 610, 811, 20422, 1184, 3268, 267, 1141, 519, 1101, 1900, 568, 513, 22285, 532, 540, 519, 20111, 630, 19530, 539, 18065, 8274, 264, 609, 519, 9300, 3693, 543, 519, 2404, 5365, 4393, 11418, 269, 769, 713, 1101, 22285, 532, 519, 4496, 1668, 3107, 4433, 264, 585, 519, 20387, 8559, 4433, 264, 616, 849, 7471, 267, 543, 513, 4295, 538, 519, 22285, 5546, 519, 610, 12715, 543, 519, 4666, 1606, 10628, 4320, 5627, 519, 9300, 3693, 269, 769, 519, 1985, 1184, 1900, 519, 1101, 22285, 532, 568, 5116, 3330, 513, 6094, 5007, 4496, 20206, 1637, 267, 799, 13352, 547, 519, 3337, 540, 519, 1101, 22285, 532, 267, 543, 1141, 606, 610, 12715, 3947, 1569, 547, 519, 4666, 1606, 10628, 4320, 936, 9300, 3693, 269, 634, 4496, 20206, 1637, 849, 814, 20387, 9475, 602, 20383, 609, 519, 9475, 538, 519, 17382, 902, 538, 519, 1101, 5641, 543, 513, 8559, 538, 519, 2427, 585, 519, 10814, 563, 1103, 513, 2034, 8022, 1184, 267, 519, 4496, 20206, 1637, 568, 12699, 689, 519, 3544, 547, 513, 2837, 602, 568, 1164, 2614, 547, 15835, 519, 2627, 540, 519, 22285, 532, 1570, 3330, 519, 20206, 1637, 269, 901, 2306, 519, 22285, 532, 15666, 547, 519, 3330, 2627, 540, 519, 20206, 1637, 543, 1118, 513, 9395, 561, 8727, 1317, 519, 22285, 532, 1570, 814, 519, 3601, 540, 513, 3905, 13621, 15441, 563, 288, 2417, 13297, 22285, 532, 949, 581, 2556, 547, 1118, 513, 8799, 7077, 11423, 540, 519, 5377, 540, 519, 20206, 1637, 267, 607, 519, 16756, 532, 3601, 540, 519, 5068, 1570, 2306, 621, 791, 24411, 547, 1118, 519, 22285, 538, 1152, 835, 1900, 563, 763, 8798, 543, 922, 1082, 5383, 786, 581, 4330, 538, 811, 1469, 2630, 609, 4704, 547, 519, 18913, 28176, 12400, 267, 799, 585, 519, 3483, 540, 14745, 1397, 930, 1875, 29438, 1746, 12589, 9323, 543, 538, 799, 454, 5472, 519, 5515, 616, 3810, 28176, 543, 711, 8209, 547, 4336, 267, 543, 789, 1397, 1152, 2694, 799, 616, 2556, 538, 1931, 547, 30881, 519, 8798, 267, 824, 2694, 1373, 31360, 610, 8806, 6700, 563, 763, 11195, 9300, 2687, 547, 8798, 6971, 519, 1216, 4598, 547, 519, 9300, 3693, 476, 276, 267, 689, 7873, 14819, 1216, 32350, 269, 901, 568, 6913, 676, 1818, 519, 4666, 1606, 10628, 4320, 476, 273, 1063, 519, 9245, 476, 272, 543, 519, 9300, 3693, 476, 276, 607, 1507, 607, 513, 1906, 6515, 274, 799, 568, 513, 5786, 540, 827, 3335, 476, 274, 9753, 540, 3172, 6421, 267, 3379, 547, 519, 4666, 1606, 10628, 4320, 540, 1634, 11195, 8596, 269, 901, 4070, 3762, 1360, 2370, 1216, 538, 519, 4666, 1606, 10628, 4320, 476, 273, 585, 2009, 7873, 14819, 267, 543, 952, 7873, 14819, 814, 3144, 1747, 621, 2636, 519, 4666, 1606, 10628, 4320, 547, 18493, 622, 519, 4430, 5277, 1216, 3533, 856, 547, 519, 19355, 998, 519, 5266, 2462, 9245, 476, 272, 563, 763, 9245, 476, 272, 949, 581, 5116, 1063, 519, 5007, 20206, 1637, 476, 275, 543, 519, 22285, 532, 476, 274, 543, 1350, 4240, 547, 835, 610, 1312, 540, 891, 563, 763, 8798, 849, 2488, 513, 4070, 1505, 540, 513, 11195, 9300, 799, 3927, 20206, 12885, 519, 9300, 3693, 476, 276, 676, 513, 3818, 1900, 22285, 532, 540, 519, 20111, 476, 277, 543, 519, 9300, 3693, 476, 276, 538, 513, 5687, 334, 5068, 7623, 476, 274, 269, 634, 1101, 1900, 540, 519, 22285, 532, 1184, 568, 519, 22285, 532, 540, 519, 20111, 476, 277, 267, 799, 568, 8066, 519, 9300, 3693, 476, 276, 543, 835, 610, 811, 17382, 902, 476, 1556, 269, 901, 3119, 22285, 532, 568, 1287, 5116, 3330, 513, 8825, 20206, 1637, 476, 275, 1141, 621, 13352, 10502, 269, 1280, 513, 1906, 7643, 519, 20206, 1637, 568, 12699, 689, 519, 3544, 543, 713, 19132, 1175, 2614, 3002, 998, 519, 4496, 547, 15835, 519, 2627, 540, 519, 4835, 22285, 532, 476, 274, 543, 1118, 621, 15441, 7561, 547, 519, 3330, 540, 519, 3905, 5007, 20206, 1637, 476, 275, 799, 568, 22799, 1524, 689, 519, 3544, 547, 1450, 519, 22285, 532, 476, 274, 547, 10826, 1586, 563, 1103, 1931, 547, 3035, 519, 1350, 5224, 1198, 519, 5068, 22285, 532, 1570, 814, 3601, 2147, 547, 3905, 13621, 15441, 269, 7053, 513, 2063, 4781, 958, 22285, 532, 814, 519, 3483, 540, 11423, 519, 5007, 20206, 1637, 476, 275, 4625, 609, 22285, 532, 476, 274, 269, 1452, 1614, 22285, 532, 3157, 538, 4999, 267, 20206, 3634, 519, 9300, 3693, 476, 276, 1200, 5471, 1227, 267, 883, 513, 22495, 730, 5641, 540, 606, 9018, 4496, 20206, 1637, 476, 275, 543, 606, 4835, 5068, 22285, 532 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1849, 5847, 585, 9093, 269, 717, 307, 1849, 5847, 585, 9093, 269, 8866, 645, 833, 9791, 645, 5390, 2193, 570, 2231, 563, 5472, 589, 25934, 16179, 898, 3767, 269, 7454, 26969, 269, 20155, 7348, 563, 763, 4099, 3296, 540, 519, 12483, 568, 5347, 267, 865, 621, 568, 8799, 543, 3728, 267, 855, 519, 25500, 568, 2965, 5394, 585, 713, 3296, 269, 634, 23198, 25500, 814, 519, 4324, 4544, 17919, 12483, 2799, 8710, 10338, 543, 1287, 23589, 569, 512, 3639, 1524, 547, 513, 25182, 11098, 563, 18744, 476, 272, 2451, 256, 9791, 17919, 12483, 11288, 269, 16448, 568, 1715, 269, 4400, 7779, 267, 17426, 6366, 1633, 12483, 269, 717, 636, 10097, 544, 839, 7823, 21891, 1683, 513, 8465, 12483, 524, 2084, 563, 21158, 281, 2005, 781, 3020, 585, 4155, 18646, 543, 585, 7823, 11332, 18646, 267, 855, 609, 1256, 811, 4632, 540, 2627, 2175, 543, 14964, 6163, 547, 4019, 547, 1055, 268, 5802, 14964, 267, 24211, 289, 12483, 3903, 568, 563, 32306, 513, 19410, 0, 763, 586, 514, 543, 21583, 269, 1703, 616, 1082, 2016, 10096, 547, 713, 3504, 3090, 281, 1769, 543, 14334, 267, 1434, 543, 3983, 267, 2318, 543, 2942, 269, 769, 713, 2013, 267, 519, 586, 514, 543, 21583, 568, 513, 3501, 6041, 540, 519, 1323, 574, 639, 543, 1323, 9874, 2443, 602, 17743, 338, 1369, 721, 782, 269, 3689, 22579, 676, 4583, 18673, 543, 31897, 14161, 29775, 822, 28044, 267, 519, 2474, 968, 2304, 9874, 892, 543, 968, 2304, 574, 639, 892, 1312, 3277, 547, 519, 5256, 19367, 1459, 1369, 519, 4775, 267, 543, 4775, 19367, 1459, 1369, 519, 5256, 563, 1103, 713, 2376, 267, 891, 2099, 1312, 17499, 18840, 18196, 630, 528, 24080, 1459, 2609, 540, 519, 1480, 20369, 3832, 1070, 543, 875, 789, 3310, 721, 538, 3232, 1272, 2443, 13948, 267, 11410, 3205, 958, 543, 15217, 563, 32056, 1882, 689, 5824, 2495, 968, 320, 1699, 540, 2011, 267, 2842, 267, 7362, 267, 519, 4105, 6240, 267, 1272, 267, 9997, 5608, 519, 1323, 9874, 4016, 547, 519, 17499, 21522, 18840, 6943, 538, 519, 5256, 20369, 3832, 799, 949, 1419, 581, 16618, 610, 1065, 5962, 538, 3232, 1272, 269, 1717, 267, 621, 568, 2556, 585, 513, 812, 547, 5431, 267, 9784, 543, 1921, 547, 713, 24353, 3693, 540, 1010, 1915, 547, 3356, 2618, 10999, 543, 3914, 3152, 4835, 3666, 543, 10103, 269, 1306, 4330, 676, 28044, 1014, 5369, 6048, 8355, 3627, 8725, 267, 519, 812, 945, 814, 4448, 609, 1010, 21522, 18840, 6943, 10525, 968, 339, 2658, 1145, 267, 9639, 267, 7156, 543, 8296, 1848, 1717, 267, 1065, 1833, 540, 519, 4775, 3693, 1369, 519, 812, 2164, 538, 513, 2942, 1323, 9874, 602, 12153, 7209, 7592, 971, 607, 968, 7079, 640, 267, 7099, 1465, 543, 8417, 547, 10413, 4606, 3034, 763, 1323, 574, 639, 267, 799, 568, 513, 5824, 2262, 602, 1797, 968, 1492, 7787, 9997, 282, 1272, 282, 519, 2790, 7060, 267, 4987, 2108, 267, 519, 17499, 5256, 18840, 6943, 538, 519, 4775, 20369, 3832, 269, 9603, 547, 6848, 267, 15366, 543, 2686, 14555, 267, 519, 1323, 574, 639, 267, 610, 5256, 3693, 1369, 519, 4807, 267, 666, 581, 1419, 7409, 1243, 267, 1964, 11712, 543, 26793, 269, 2201, 519, 824, 1688, 267, 930, 7239, 543, 4529, 678, 3578, 8393, 20818, 27828, 16431, 585, 2021, 607, 519, 1152, 2081, 547, 14133, 267, 8011, 543, 1205, 9170, 538, 1272, 2353, 540, 891, 5007, 2609, 666, 3565, 2509, 513, 2942, 1323, 574, 639, 267, 799, 8761, 3294, 538, 513, 4807, 779, 7209, 998, 12819, 21274, 267, 678, 3578, 16531, 267, 3186, 1192, 4369, 267, 543, 1202, 27383, 269, 1717, 267, 10128, 513, 2318, 1323, 574, 639, 883, 519, 4775, 20369, 3832, 666, 1267, 538, 4222, 267, 7682, 4369, 267, 1377, 20243, 1145, 543, 7787, 640, 563, 1103, 519, 2247, 540, 28044, 2443, 945, 6508, 1082, 540, 1010, 4555, 543, 10752, 689, 8109, 11096, 2684, 625, 2443, 538, 1931, 585, 513, 1268, 547, 581, 2898, 998, 519, 1184, 540, 968, 5715, 1204, 6672, 5608, 513, 1268, 1590, 7237, 543, 960, 547, 9784, 741, 4835, 1323, 9874, 610, 1323, 574, 639, 563, 2026, 28044, 6941, 267, 519, 1184, 540, 713, 4742, 2898, 2443, 610, 1473, 1204, 6672, 2443, 666, 581, 4330, 607, 281, 4742, 606, 968, 514, 1673, 1339, 2223, 543, 267, 538, 865, 2484, 607, 968, 785, 1339, 640, 892, 5088, 806, 938, 7961, 25958, 267, 2063, 267, 543, 538, 1260, 1706, 762, 22464, 267, 621, 849, 10522, 4742, 835, 779, 1378, 1582, 269, 1284, 1223, 4061, 14377, 13619, 6672, 607, 968, 5765, 547, 1582, 3125, 2223, 610, 968, 1345, 3146, 531, 1436, 3034, 1103, 9759, 267, 1018, 649, 616, 20678, 585, 568, 606, 543, 5766, 2106, 748, 1533, 602, 568, 1419, 11911, 547, 938, 19618, 1582, 799, 21356, 782, 1727, 657, 2572, 543, 6770, 1390, 1226, 534, 14383, 543, 627, 565, 8864, 269, 12861, 513, 7059, 1533, 540, 6418, 543, 5766, 2106, 344, 568, 2141, 13865, 267, 543, 2242, 689, 1268, 547, 1268, 563, 1607, 5610, 5956, 609, 519, 17766, 519, 968, 32355, 685, 543, 519, 2048, 528, 685, 543, 9301, 3079, 519, 2048, 718, 9957, 2290, 540, 519, 2081, 649, 949, 1995, 713, 5610, 568, 519, 3375, 568, 547, 3398, 602, 991, 585, 2620, 1964, 543, 519, 991, 585, 7372, 2962, 616, 1100, 3476, 538, 11685, 282, 3079, 789, 2253, 547, 20102, 1489, 835, 1776, 538, 513, 22973, 2095, 269, 898, 666, 1745, 899, 1931, 543, 14784, 2253, 547, 1071, 7721, 626, 1369, 596, 538, 3501, 10103, 269, 1284, 1831, 811, 838, 20160, 538, 938, 5007, 4082, 543, 3347, 609, 513, 3152, 4390, 585, 1312, 2620, 13438, 543, 6109, 6302, 269, 634, 12402, 547, 2746, 1947, 12900, 883, 19432, 267, 10385, 267, 610, 609, 3835, 532, 11081, 269, 3683, 942, 267, 649, 1831, 5318, 2614, 547, 18220, 606, 9759, 602, 666, 2270, 2789, 5380, 1510, 10205, 532, 6000, 610, 519, 824, 1268, 856, 540, 8878, 689, 519, 10138, 269, 1284, 1831, 12703, 267, 1256, 12050, 267, 609, 513, 32344, 543, 7096, 8699, 267, 3850, 721, 547, 1921, 538, 811, 5499, 543, 3860, 2081, 269, 1284, 666, 1205, 8076, 609, 1142, 824, 689, 513, 1747, 540, 2620, 19969, 543, 6418, 3354, 267, 2864, 982, 689, 938, 608, 27238, 31411, 2623, 4806, 563, 3383, 875, 666, 649, 2417, 2347, 519, 1184, 540, 1473, 1204, 6672, 267, 875, 666, 649, 1921, 547, 519, 24353, 10774, 5200, 2427, 540, 6000, 888, 25321, 301, 4488, 16249, 9215, 5990, 4888, 296, 7246, 454, 8139, 21522, 1648, 799, 28107, 3294, 607, 1780, 2032, 267, 8417, 267, 543, 7553, 1275, 269, 2368, 10372, 912, 268, 6657, 519, 1148, 540, 6947, 609, 6161, 543, 8296, 563, 268, 4414, 4593, 1478, 532, 6612, 543, 5876, 282, 11589, 21176, 267, 552, 3052, 269, 2575, 267, 1148, 267, 17001, 267, 6965, 267, 7544, 547, 6451, 21522, 19367, 538, 707, 1272, 563, 268, 28552, 2219, 6888, 543, 7156, 540, 519, 2115, 540, 1866, 563, 268, 28552, 11009, 267, 9066, 543, 1582, 2987, 11431, 547, 1020, 3152, 7156, 540, 707, 4835, 2115, 585, 2648, 543, 20106, 543, 824, 2081, 547, 1205, 538, 5905, 609, 6418, 1582, 563, 25321, 301, 4488, 16249, 9215, 5990, 4888, 8379, 4785, 454, 8139, 24940, 1648, 799, 28107, 3294, 607, 3388, 602, 568, 3742, 267, 8789, 267, 543, 9266, 269, 2368, 10372, 912, 268, 28552, 6857, 7682, 4369, 267, 12561, 513, 1909, 610, 2990, 602, 12662, 596, 538, 6392, 270, 3256, 12099, 267, 12423, 543, 3384, 5718, 5759, 563, 268, 29460, 1582, 1606, 11211, 543, 1582, 3146, 2993, 656, 24323, 538, 4555, 543, 4664, 607, 1134, 607, 608, 27238, 538, 519, 2168, 1158, 563, 268, 717, 8724, 811, 3929, 3666, 676, 8026, 11009, 267, 9066, 267, 543, 1582, 7721, 680, 2610, 267, 3092, 563, 268, 22685, 1154, 7787, 1935, 547, 1966, 6061, 267, 3375, 1818, 543, 5883, 3871, 998, 9266, 3206, 563, 263, 12441, 596, 5469, 519, 1455, 1275, 540, 8026, 11009, 543, 9066, 585, 1312, 286, 3733, 6207, 2123, 5172, 547, 3035, 3152, 1582, 18221, 543, 1582, 22523, 26695, 2691, 596, 1831, 740, 30794, 538, 29947, 707, 586, 514, 543, 21583, 14350, 267, 610, 2864, 267, 1118, 13447, 539, 3646, 547, 3666, 1312, 8195, 563, 763, 2596, 2243, 547, 2307, 3054, 568, 281, 968, 6343, 568, 519, 1699, 3666, 540, 5256, 543, 4775, 19367, 538, 1250, 1272, 267, 543, 1018, 2115, 2417, 1646, 9495, 968, 529, 1250, 1918, 320, 543, 1918, 639, 11215, 540, 1142, 824, 610, 26453, 582, 1645, 519, 4082, 540, 519, 824, 892, 888, 296, 10950, 596, 547, 2671, 707, 2833, 543, 5784, 543, 948, 4228, 519, 9637, 269, 0, 7069, 2079, 540, 519, 15023, 20484, 11518, 619, 543, 28615, 21862, 839, 6212, 593, 741, 9757, 946, 540, 519, 2165, 11375, 3861, 269, 5637, 15023, 267, 1498, 25864, 3379, 267, 2671, 513, 1455, 840, 21232, 566, 609, 519, 1158, 781, 4411, 1249, 30008, 20196, 972, 568, 513, 1158, 4830, 540, 267, 543, 8197, 267, 967, 27075, 547, 519, 1480, 563, 1103, 1931, 547, 2198, 622, 519, 1079, 15023, 267, 594, 946, 9410, 1261, 728, 1375, 518, 607, 606, 954, 32643, 12460, 547, 2263, 875, 1142, 540, 873, 9388, 609, 8103, 781, 21022, 588, 1155, 538, 513, 2022, 4211, 641, 1716, 4618, 267, 2022, 5937, 541, 7773, 1014, 7122, 563, 14976, 1987, 908, 593, 1261, 728, 1375, 518, 781, 2093, 827, 12391, 543, 23029, 267, 594, 2303, 602, 1142, 10564, 781, 23972, 2509, 519, 11375, 3861, 568, 538, 1249, 519, 1034, 1480, 23972, 267, 606, 3801, 547, 1491, 1416, 540, 519, 15865, 267, 519, 4503, 282, 676, 10452, 519, 834, 1492, 11375, 3861, 811, 2437, 741, 9954, 960, 547, 1305, 1919, 1863, 607, 789, 616, 563, 16085, 1041, 10573, 30210, 3557, 2160, 267, 7043, 16047, 2008, 16085, 1041, 19715, 10573, 18197, 2276, 4534, 4993, 2008, 347, 13126, 10573, 7246, 296, 476, 4366, 270, 6349, 300, 267, 27587, 17593, 338, 4139, 2008, 347, 21292, 10573, 3891, 728, 1375, 518, 267, 9410, 267, 11518, 619, 267, 20484, 267, 21862, 839, 267, 28615, 2008, 15648, 538, 1142, 19837, 10488, 543, 19080, 568, 17477, 676, 519, 2278, 269, 2353, 7126, 27616, 454, 763, 29433, 3758, 610, 6119, 596, 616, 827, 547, 4647, 941, 3177, 547, 1160, 5226, 652, 676, 519, 2278, 607, 851, 540, 513, 454, 323, 1170, 10488, 610, 5098, 269, 634, 29433, 6119, 616, 3177, 834, 3008, 4959, 257, 1510, 15549, 344, 269, 1160, 5226, 652, 568, 711, 3743, 585, 519, 454, 20880, 267, 3898, 610, 1764, 593, 519, 29433, 3758, 4433, 264, 593, 938, 1062, 269, 538, 930, 2665, 267, 519, 3758, 1826, 949, 581, 7164, 610, 454, 16673, 581, 513, 1547, 1410, 324, 3758, 269, 1284, 4363, 13657, 607, 596, 1930, 971, 6119, 563, 15648, 540, 519, 3312, 2326, 8659, 538, 519, 29433, 3758, 568, 17477, 676, 519, 2278, 543, 707, 1569, 547, 519, 454, 26625, 2211, 531, 6119, 568, 1641, 547, 519, 1160, 5226, 652, 16301, 543, 17148, 540, 946, 563, 27039, 593, 519, 2450, 540, 519, 3758, 4433, 264, 596, 616, 23842, 267, 519, 1062, 949, 1491, 930, 942, 547, 4647, 873, 269, 7490, 581, 0, 293, 520, 568, 513, 4190, 1418, 454, 2690, 5215, 540, 1296, 3170, 814, 1044, 9976, 538, 1585, 4529, 563, 3086, 12997, 267, 8377, 568, 4929, 513, 2039, 540, 1072, 2042, 267, 543, 519, 4339, 568, 593, 547, 28489, 1524, 3653, 3515, 538, 1082, 2477, 563, 3719, 607, 649, 4312, 4121, 811, 827, 3170, 267, 649, 4312, 13175, 547, 1174, 621, 666, 849, 581, 606, 1271, 543, 2635, 851, 540, 938, 4703, 563, 7804, 20913, 281, 15310, 568, 606, 2375, 633, 2262, 269, 898, 1031, 547, 581, 4190, 267, 1287, 621, 2968, 14432, 267, 543, 1631, 267, 899, 513, 2603, 540, 1272, 267, 621, 781, 1950, 563, 5278, 476, 1789, 267, 1822, 1296, 3516, 267, 938, 11937, 538, 2342, 543, 27584, 4997, 7902, 547, 8661, 513, 3787, 540, 1166, 629, 269, 2776, 18856, 834, 309, 523, 639, 8431, 584, 1149, 257, 723, 1044, 1336, 538, 1312, 4525, 2443, 789, 2811, 1507, 24112, 827, 476, 1015, 268, 736, 4699, 1164, 267, 17991, 689, 10036, 267, 610, 20077, 689, 513, 2571, 6149, 610, 32334, 269, 1358, 782, 6813, 3677, 21031, 269, 1280, 1383, 267, 519, 834, 309, 523, 639, 540, 4024, 754, 21807, 257, 2982, 513, 2462, 1532, 749, 1221, 4807, 609, 4396, 25427, 338, 543, 1804, 28244, 269, 2368, 3494, 789, 2811, 513, 2186, 540, 12680, 30118, 267, 610, 602, 789, 2811, 7654, 5532, 547, 513, 1032, 940, 585, 3354, 543, 6266, 540, 1426, 454, 303 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18257, 0, 3698, 4339, 10031, 825, 1948, 476, 16043, 495, 7511, 16141, 478, 23521, 350, 454, 825, 1250, 20189, 335, 815, 476, 1911, 271, 454, 825, 1948, 476, 10533, 490, 32512, 7511, 16141, 478, 23521, 350, 454, 825, 707, 20189, 335, 815, 476, 1911, 271, 454, 825, 1948, 476, 16043, 495, 7511, 418, 498, 375, 16583, 375, 20693, 505, 454, 825, 1250, 7272, 1077, 815, 476, 3199, 454, 825, 1948, 476, 10533, 490, 32512, 7511, 418, 498, 375, 16583, 375, 20693, 505, 454, 825, 707, 7272, 1077, 815, 476, 2568, 692, 825, 1247, 6936, 912, 1038, 1948, 476, 16043, 495, 31176, 358, 12916, 503, 16141, 478, 23521, 350, 22614, 511, 487, 30678, 476, 16043, 495, 7511, 18263, 489, 31176, 491, 16141, 478, 23521, 350, 13127, 485, 493, 31308, 375, 476, 10533, 490, 32512, 7511, 13601, 418, 361, 350, 418, 498, 375, 16583, 375, 454, 1038, 1250, 20189, 335, 815, 1250, 20189, 335, 910, 707, 7272, 1077, 454, 1038, 1948, 476, 10533, 490, 32512, 31176, 358, 12916, 503, 16141, 478, 23521, 350, 22614, 511, 487, 30678, 476, 10533, 490, 32512, 7511, 18263, 489, 31176, 491, 16141, 478, 23521, 350, 13127, 485, 493, 31308, 375, 476, 16043, 495, 7511, 13601, 418, 361, 350, 418, 498, 375, 16583, 375, 454, 1038, 707, 20189, 335, 815, 707, 20189, 335, 910, 1250, 7272, 1077, 454, 1038, 952, 1250, 20189, 335, 10922, 476, 271, 912, 2018, 1820, 2891, 16043, 495, 27447, 29072, 5602, 2018, 2736, 454, 1038, 8640, 707, 20189, 335, 10922, 476, 271, 912, 2018, 1820, 2891, 12916, 510, 27447, 29072, 5602, 2018, 2736, 454, 258, 29635, 364, 481, 17958, 13644, 354, 25913, 25622, 454, 325, 697, 10797, 19638, 0, 5228, 10070, 1104, 22388, 454, 5228, 1187, 551, 8962, 1104, 9864, 454, 5814, 21795, 607, 19073, 7531, 3698, 1003, 15220, 1513, 18425, 26000, 336, 263, 572, 336, 267, 1003, 17107, 825, 4831, 815, 22388, 263, 572, 336, 2020, 825, 2189, 318, 30726, 18045, 338, 815, 1305, 6262, 3300, 269, 11161, 31156, 825, 952, 1003, 538, 2189, 318, 30726, 18045, 338, 1384, 1038, 2132, 6936, 692, 825, 3116, 1384, 1038, 2132, 8771, 7531, 13757, 4671, 6851, 815, 9864, 16325, 15220, 1513, 18425, 26000, 336, 267, 1003, 284, 273, 2020, 13757, 318, 22764, 815, 9864, 16325, 15220, 1513, 18425, 26000, 336, 267, 1003, 284, 274, 2020, 11907, 815, 19073, 18667, 32269, 3488, 1485, 273, 269, 6358, 3299, 20927, 22561, 267, 4408, 284, 9131, 935, 1555, 518, 16182, 11172, 2020, 11907, 9131, 13757, 4671, 6851, 11172, 815, 1239, 9131, 935, 1555, 518, 16182, 262, 4940, 1952, 569, 263, 13757, 4671, 6851, 2020, 11907, 9131, 13757, 318, 22764, 11172, 815, 1239, 9131, 935, 1555, 518, 16182, 262, 4940, 1952, 569, 263, 13757, 318, 22764, 2020, 13512, 657, 815, 1239, 314, 11907, 9131, 13757, 4671, 6851, 11172, 2652, 6936, 6540, 628, 4181, 815, 1239, 314, 11907, 9131, 13757, 318, 22764, 11172, 2652, 6936, 6540, 2745, 6025, 342, 657, 9131, 13757, 4671, 6851, 262, 4940, 21653, 2608, 555, 4181, 9131, 13757, 318, 22764, 262, 4940, 21653, 994, 0, 258, 589, 3122, 6950, 10794, 454, 258, 476, 273, 291, 6152, 1362, 543, 1644, 3252, 692, 5228, 4351, 1104, 4351, 607, 678, 526, 454, 5228, 2979, 1104, 5609, 267, 5430, 692, 5035, 21070, 10031, 825, 5727, 476, 273, 291, 6152, 29185, 825, 1219, 6449, 8181, 9191, 1345, 267, 1535, 815, 476, 271, 267, 586, 815, 476, 271, 2187, 1038, 5727, 4147, 4020, 528, 8173, 1038, 1582, 11859, 815, 1535, 454, 1038, 1582, 13885, 815, 586, 692, 825, 1219, 4012, 4311, 2187, 1038, 5727, 21070, 9588, 8173, 1038, 2132, 630, 1345, 11859, 1262, 273, 1341, 1582, 13885, 1262, 273, 264, 2878, 476, 271, 269, 276, 692, 825, 1219, 1617, 4311, 267, 535, 2187, 1038, 5727, 25092, 6152, 676, 513, 22185, 8173, 1038, 1582, 11859, 2608, 284, 535, 454, 1038, 1582, 13885, 2608, 284, 535, 454, 1038, 2132, 1582, 692, 825, 1219, 1305, 300, 698, 4311, 267, 678, 2187, 1038, 5727, 7827, 6152, 9588, 8497, 10066, 8173, 1038, 678, 271, 815, 1582, 6230, 698, 4590, 1038, 1582, 6230, 738, 263, 678, 1315, 678, 271, 25589, 825, 1219, 1039, 4311, 267, 642, 2187, 1038, 5727, 257, 5410, 6152, 8173, 1038, 1582, 11859, 6834, 642, 11859, 454, 1038, 1582, 13885, 6834, 642, 13885, 7531, 3698, 1016, 5416, 267, 536, 2187, 825, 5727, 21070, 12408, 8173, 825, 2132, 21070, 5416, 11859, 910, 536, 11859, 267, 513, 13885, 910, 536, 13885, 9239, 3698, 4351, 10031, 825, 5727, 8073, 4351, 6152, 8173, 825, 2132, 21070, 16868, 526, 19572, 678, 526, 3890, 9239, 3698, 689, 17951, 548, 263, 9064, 2187, 825, 5727, 8073, 6152, 689, 5086, 10066, 8173, 825, 1535, 815, 5430, 263, 9064, 994, 825, 586, 815, 5609, 263, 9064, 994, 825, 2132, 21070, 3287, 267, 586, 994 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 19064, 6055, 8745, 1475, 15124, 2622, 2782, 594, 328, 18768, 281, 1411, 2052, 12706, 23126, 630, 30395, 898, 23126, 10245, 18871, 14394, 1475, 9349, 1315, 18225, 1315, 22910, 2008, 347, 8649, 7571, 2593, 1475, 24246, 593, 8835, 9625, 476, 6021, 278, 278, 1321, 280, 6078, 272, 2008, 347, 25820, 1715, 1475, 274, 269, 7176, 2475, 667, 3326, 1513, 630, 2017, 686, 4293, 10245, 347, 25820, 13242, 1475, 276, 269, 866, 2475, 667, 3326, 1513, 630, 2017, 686, 4293, 10245, 347, 310, 5954, 1475, 271, 269, 2764, 6279, 630, 935, 3200, 10245, 347, 3891, 697, 1475, 1015, 6279, 630, 935, 3200, 10245, 347, 21920, 1475, 279, 6279, 630, 935, 3200, 10245, 347, 26574, 1475, 1556, 269, 6924, 13728, 630, 935, 3200, 10245, 347, 16524, 13517, 1475, 5804, 22342, 7851, 543, 11802, 536, 22395, 547, 5544, 614, 14742, 543, 32311, 25394, 267, 4279, 2622, 2782, 4083, 18768, 1411, 2052, 12706, 23126, 6770, 835, 540, 519, 1034, 10747, 5712, 540, 1977, 543, 1158, 1686, 547, 1272, 998, 3946, 6823, 2679, 3785, 543, 2238, 269, 26346, 1900, 8386, 9912, 5528, 585, 2870, 1142, 1788, 9192, 609, 3140, 5013, 543, 23278, 4925, 267, 22808, 267, 543, 31851, 827, 519, 1483, 3734, 3631, 269, 8625, 789, 2285, 3214, 513, 1101, 11804, 1413, 693, 3232, 1272, 693, 1753, 543, 593, 519, 4395, 3515, 1282, 3013, 781, 2112, 1296, 8198, 347, 13436, 27294, 1475, 7818, 14625, 278, 4375, 7176, 280, 280, 281, 2622, 2782, 594, 328, 1280, 8866, 281, 589, 3778, 2060, 476, 2641, 11242, 630, 2690, 8866, 10022, 10245, 7818, 271, 4037, 5780, 274, 25484, 280, 281, 667, 330, 29431, 1168, 5893, 7734, 281, 2622, 2782, 594, 328, 454, 7818, 3374, 280, 279, 736, 277, 3445, 271, 281, 667, 330, 29431, 1168, 5893, 7734, 281, 2622, 2782, 594, 454, 7818, 32146, 280, 1704, 3199, 276, 274, 281, 667, 330, 29431, 1168, 5893, 7734, 281, 2622, 2782, 594, 454, 7818, 271, 4037, 5780, 274, 23669, 273, 281, 667, 330, 29431, 1168, 5893, 7734, 281, 2622, 2782, 594, 454, 7818, 271, 4037, 32133, 278, 2412, 272, 281, 667, 330, 29431, 1168, 5893, 7734, 281, 2622, 2782, 594, 454, 7818, 271, 4037, 271, 2537, 6795, 274, 279, 281, 667, 330, 29431, 1168, 5893, 7734, 281, 2622, 2782, 594, 454, 7818, 6187, 279, 280, 1015, 280, 1015, 273, 281, 667, 330, 29431, 1168, 5893, 7734, 281, 2622, 2782, 594, 454, 7818, 27888, 1001, 3199, 280, 273, 281, 667, 330, 29431, 1168, 5893, 7734, 281, 2622, 2782, 594, 454, 7818, 4962, 274, 14093, 278, 6858, 279, 281, 634, 4279, 12870, 630, 17357, 1676, 18429, 2986, 15213, 281, 5822, 994, 8698, 476, 4097, 811, 2147, 3688, 454, 347, 15507, 5616, 1475, 2421, 661, 3198, 610, 676, 7170, 2008, 20684, 540, 1719, 454, 304, 305, 32011, 616, 513, 1826, 540, 476, 273, 546, 2939, 1308, 630, 273, 291, 264, 536, 2117, 1712, 602, 616, 4122, 1031, 538, 10229, 543, 6462, 676, 1034, 5100, 11436, 269, 1452, 11741, 9479, 666, 1118, 621, 1360, 2653, 547, 1205, 3059, 1239, 689, 1820, 883, 513, 2780, 610, 5100, 6049, 563, 23192, 2813, 585, 519, 16669, 2872, 267, 891, 9479, 723, 1011, 10757, 883, 946, 538, 1820, 593, 1870, 6486, 267, 538, 17476, 543, 1256, 2938, 593, 1357, 4609, 269, 901, 568, 1317, 540, 519, 2799, 1569, 547, 5100, 11436, 602, 666, 3362, 11571, 891, 9479, 543, 4483, 519, 1239, 547, 519, 3593, 563, 2467, 616, 513, 1297, 540, 3096, 585, 891, 9479, 269, 5680, 6402, 267, 3346, 1344, 630, 341, 25205, 264, 543, 824, 3730, 2010, 540, 1344, 269, 3371, 568, 606, 1383, 540, 513, 30040, 8943, 602, 596, 666, 11571, 563, 763, 1804, 4009, 3270, 596, 1294, 538, 1614, 15174, 540, 519, 3239, 616, 1031, 585, 17568, 269, 634, 4130, 4216, 596, 666, 1294, 538, 519, 2539, 1318, 6712, 540, 519, 3239, 568, 1031, 585, 12972, 269, 4045, 532, 519, 17568, 7161, 616, 513, 3126, 540, 12557, 7161, 799, 2141, 14595, 1769, 7933, 1046, 630, 271, 270, 272, 1040, 1607, 2636, 519, 17655, 3926, 547, 5431, 543, 11571, 7488, 540, 875, 519, 4806, 568, 20218, 269, 1677, 1118, 713, 4443, 547, 2697, 267, 1934, 568, 513, 11954, 4528, 540, 519, 1482, 30040, 8943, 609, 519, 17568, 7161, 6825, 538, 2699, 267, 519, 12972, 3625, 568, 6825, 538, 5835, 543, 519, 12557, 7436, 616, 6825, 538, 3039, 563, 2467, 616, 849, 6810, 585, 4528, 532, 543, 11249, 799, 616, 6854, 1472, 519, 17568, 7161, 269, 769, 519, 3239, 2630, 267, 519, 11249, 7161, 616, 6825, 538, 2699, 543, 519, 4528, 532, 7161, 616, 6825, 538, 5835, 563, 763, 6967, 7161, 1118, 909, 519, 1543, 1344, 543, 2404, 5470, 15494, 1239, 269, 1306, 519, 2179, 540, 1239, 9428, 267, 811, 12972, 12508, 616, 17332, 883, 519, 3239, 269, 898, 568, 1271, 547, 1820, 519, 3239, 538, 513, 1804, 2614, 2450, 269, 1403, 519, 3239, 568, 1932, 1507, 610, 1932, 10053, 267, 1085, 22395, 1223, 723, 8373, 2542, 519, 1239, 1394, 563, 2252, 596, 1131, 899, 547, 1711, 707, 1378, 30040, 32011, 267, 972, 616, 1896, 1357, 4609, 602, 1577, 596, 798, 713, 269, 1284, 2965, 723, 938, 1378, 30040, 8943, 11718, 593, 713, 3135, 1141, 596, 666, 1711, 707, 1360, 1378, 30040, 32011, 585, 1022, 946, 596, 899, 543, 621, 568, 11207, 17676, 2336, 8620, 707, 1378, 30040, 32011, 0, 587, 508, 763, 15116, 640, 540, 713, 10880, 2507, 13757, 1044, 602, 513, 1390, 1297, 540, 5094, 23194, 267, 799, 723, 4986, 547, 798, 609, 835, 1776, 2507, 17647, 3254, 602, 789, 20053, 547, 1118, 1455, 2014, 269, 1411, 949, 4096, 2390, 621, 602, 713, 568, 513, 1514, 1249, 540, 519, 5207, 2956, 543, 540, 1360, 2489, 2956, 540, 519, 2104, 269, 594, 3494, 602, 519, 3992, 814, 1044, 19927, 689, 8581, 267, 543, 602, 621, 568, 1813, 547, 519, 1459, 6554, 543, 547, 922, 28170, 633, 4031, 538, 8581, 267, 543, 547, 519, 13766, 799, 789, 723, 9788, 2390, 519, 1004, 540, 8581, 538, 1114, 2694, 540, 519, 2197, 799, 723, 1100, 598, 10811, 542, 609, 835, 1776, 547, 12314, 1927, 585, 606, 1843, 799, 789, 3494, 547, 581, 4105, 547, 782, 269, 594, 993, 1454, 20916, 547, 1589, 602, 519, 2324, 2367, 540, 5507, 723, 19927, 713, 3992, 689, 8581, 31422, 454, 1765, 5261, 661, 23702, 3794, 611, 7723, 3703, 27565, 22267, 543, 6305, 14012, 540, 519, 2136, 8003, 476, 5197, 280, 910, 476, 6245, 279, 454, 11771, 710, 281, 16594, 538, 27991, 10921, 630, 2537, 5181, 476, 6642, 280, 264, 593, 519, 5507, 546, 1442, 10880, 267, 20926, 538, 634, 8648, 630, 2190, 5181, 476, 6642, 280, 1070, 533, 269, 476, 1015, 269, 0, 1432, 729, 3627, 29859, 2542, 593, 519, 12784, 540, 476, 1789, 5239, 476, 14321, 279, 286, 594, 1589, 594, 666, 2709, 606, 5483, 7058, 543, 267, 693, 519, 1482, 942, 267, 1448, 547, 513, 2009, 2707, 585, 21537, 1047, 23452, 602, 814, 865, 2484, 23012, 5469, 563, 2171, 917, 602, 29859, 729, 538, 7507, 593, 602, 1554, 543, 602, 646, 546, 1441, 538, 2754, 693, 519, 966, 10273, 762, 2296, 5441, 538, 519, 966, 807, 1019, 631, 976, 20482, 6737, 269, 634, 2852, 729, 6131, 547, 2866, 4936, 7826, 20577, 547, 4196, 538, 4789, 267, 865, 621, 568, 1945, 540, 513, 9983, 547, 3605, 602, 519, 18979, 569, 17557, 29859, 10272, 621, 269, 769, 519, 4505, 476, 1704, 628, 2540, 267, 2705, 267, 519, 26483, 4686, 17557, 2951, 6840, 547, 7507, 689, 4789, 22157, 547, 3343, 519, 2754, 540, 741, 608, 6150, 7826, 2197, 5443, 267, 2348, 1906, 8925, 952, 789, 8179, 2754, 610, 941, 538, 991, 540, 2199, 31047, 269, 29859, 779, 2012, 543, 519, 4408, 540, 1010, 8284, 8436, 616, 6592, 538, 519, 12377, 11578, 1634, 607, 519, 15815, 15317, 3883, 267, 799, 568, 1869, 693, 519, 2852, 269, 2311, 513, 942, 950, 2296, 23597, 941, 8499, 593, 519, 4636, 2427, 540, 519, 4031, 540, 741, 22657, 267, 741, 608, 6150, 1786, 628, 1066, 941, 3771, 21724, 676, 838, 625, 543, 1217, 619, 269, 898, 729, 4061, 929, 644, 550, 547, 1832, 5638, 540, 8436, 563, 763, 13753, 540, 23583, 23720, 543, 7338, 4856, 985, 723, 3254, 602, 519, 10564, 568, 519, 1152, 2009, 2048, 291, 7631, 639, 29859, 639, 685, 630, 1492, 2012, 602, 5526, 538, 519, 15815, 15317, 3883, 264, 547, 723, 1044, 538, 7507, 593, 602, 1554, 269, 3571, 15274, 941, 1163, 27074, 622, 7826, 18211, 4531, 1846, 630, 8072, 333, 24213, 4911, 2993, 685, 1040, 2353, 941, 2048, 332, 1725, 881, 1836, 4607, 685, 538, 519, 2852, 269, 0, 763, 966, 21524, 601, 1523, 729, 2966, 10446, 538, 5125, 543, 538, 519, 2136, 2276, 538, 519, 476, 2735, 271, 338, 269, 769, 1382, 543, 1646, 267, 621, 729, 4294, 585, 519, 1646, 540, 4359, 12957, 1062, 630, 288, 3008, 264, 3292, 693, 24806, 589, 7878, 267, 799, 5555, 4646, 519, 1449, 4640, 543, 4951, 5610, 1935, 9141, 676, 1007, 2591, 269, 634, 966, 21524, 601, 568, 849, 1031, 547, 10038, 519, 3301, 1646, 1184, 609, 519, 4436, 5313, 7245, 543, 4249, 607, 3044, 585, 9367, 1369, 519, 3148, 269, 769, 2487, 1296, 267, 621, 814, 1044, 7839, 4294, 607, 513, 13112, 21838, 3879, 13577, 26841, 538, 1382, 267, 1646, 267, 2504, 1852, 711, 1152, 538, 519, 3301, 1646, 855, 849, 538, 513, 3099, 540, 1062, 4702, 3157, 630, 306, 7968, 1916, 5591, 1047, 267, 19089, 543, 10792, 1145, 630, 301, 309, 295, 264, 568, 519, 4702, 540, 6662, 6482, 267, 10452, 1480, 16148, 24221, 2079, 543, 2773, 1646, 585, 5057, 543, 6174, 269, 4706, 7811, 4493, 568, 3818, 23073, 6422, 543, 17974, 269, 22702, 547, 519, 13674, 2599, 6472, 267, 538, 519, 5122, 6472, 267, 519, 4835, 6846, 2707, 568, 5631, 1813, 547, 13590, 3196, 267, 10591, 17450, 3196, 543, 30312, 6630, 4908, 15175, 269, 5221, 540, 1114, 2497, 267, 5122, 4073, 1068, 1778, 2982, 513, 1114, 4483, 2619, 267, 799, 568, 849, 10630, 538, 519, 16982, 3892, 563, 3383, 267, 519, 715, 309, 295, 2773, 538, 5122, 4073, 1068, 1778, 568, 513, 1950, 1528, 4435, 22817, 23644, 1184, 267, 1519, 5122, 1699, 538, 3200, 1184, 689, 28860, 267, 13590, 1198, 689, 3167, 5179, 267, 6771, 689, 519, 10591, 17450, 543, 6368, 3587, 519, 6846, 543, 19089, 3210, 998, 519, 4483, 2619, 540, 5122, 4073, 1068, 1778, 543, 6174, 2497, 547, 15915, 267, 799, 2306, 519, 715, 309, 295, 1646, 543, 1382, 513, 1587, 1272, 4783, 1062, 4702, 1184, 563, 1103, 1931, 547, 18928, 1020, 543, 11179, 2087, 519, 715, 309, 295, 2773, 267, 606, 20979, 966, 21524, 601, 568, 5189, 538, 713, 1957, 1519, 519, 5205, 281, 519, 5943, 540, 519, 20979, 966, 21524, 601, 568, 5189, 538, 8791, 476, 273, 269, 4706, 8371, 971, 607, 11191, 267, 15418, 543, 11938, 786, 581, 5189, 538, 1469, 538, 590, 30708, 476, 274, 267, 476, 275, 543, 476, 276, 269, 634, 2063, 3296, 568, 519, 3932, 540, 713, 20979, 966, 21524, 601, 563, 273, 269, 19630, 1242, 966, 5336, 617, 601, 454, 13706, 519, 3312, 966, 21524, 601, 689, 674, 832, 6199, 1696, 620, 269, 630, 1960, 271, 264, 476, 538, 7612, 476, 272, 267, 1141, 519, 1062, 568, 10920, 12723, 543, 3989, 538, 1142, 1377, 593, 519, 835, 1688, 267, 543, 1287, 20240, 593, 519, 824, 1688, 547, 9585, 519, 3003, 590, 7968, 563, 18893, 574, 1242, 966, 21524, 601, 814, 5189, 519, 11938, 1184, 585, 966, 21524, 601, 543, 8992, 621, 689, 476, 273, 291, 547, 513, 476, 274, 291, 1646, 2203, 269, 1280, 715, 309, 295, 1062, 4702, 267, 621, 568, 4330, 607, 606, 20979, 966, 21524, 601, 538, 7612, 476, 273, 563, 17843, 689, 2489, 1062, 1646, 267, 519, 715, 309, 295, 1062, 540, 5122, 4073, 1068, 1778, 568, 513, 3356, 689, 27967, 547, 6405, 1533, 269, 1306, 519, 1646, 8441, 267, 519, 10148, 267, 4170, 543, 5610, 616, 7683, 4657, 563, 1607, 966, 21524, 601, 568, 5827, 547, 2743, 1950, 4657, 3356, 25896, 267, 11753, 519, 3384, 5773, 971, 607, 11191, 267, 15418, 543, 11938, 543, 581, 15498, 762, 538, 3003, 6174, 1382, 543, 1646, 538, 7612, 476, 274, 563, 1607, 476, 8182, 737, 310, 5122, 4073, 1068, 1778, 585, 18213, 6174, 2882, 513, 1379, 3167, 1770, 630, 14154, 308, 1070, 5122, 5179, 630, 4932, 264, 543, 10591, 7901, 630, 16412, 1070, 799, 568, 513, 3818, 23073, 1062, 267, 543, 621, 5205, 519, 10252, 26517, 4542, 454, 8201, 476, 272, 269, 22731, 966, 21524, 601, 563, 8201, 476, 273 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 325, 628, 662, 630, 338, 318, 754, 1070, 6606, 454, 265, 5785, 5785, 955, 265, 13045, 343, 284, 326, 269, 271, 343, 2742, 454, 333, 318, 754, 284, 5257, 454, 2710, 1775, 284, 6919, 263, 2643, 11859, 264, 1677, 476, 272, 1635, 910, 272, 454, 333, 318, 754, 284, 333, 318, 754, 1535, 262, 270, 262, 5320, 263, 2643, 11859, 267, 328, 994, 17484, 454, 24445, 522, 1412, 333, 318, 754, 8782, 333, 318, 754, 454, 343, 284, 326, 269, 271, 343, 14741, 454, 338, 318, 754, 284, 5257, 454, 2710, 1775, 284, 272, 1677, 1913, 263, 2643, 11859, 994, 338, 318, 754, 284, 338, 318, 754, 1535, 262, 270, 262, 5320, 263, 2643, 11859, 267, 328, 994, 17484, 454, 24445, 522, 1412, 338, 318, 754, 8782, 338, 318, 754, 692, 333, 318, 14683, 284, 5257, 454, 338, 318, 869, 284, 5257, 454, 270, 265, 5785, 5785, 955, 8894, 265, 3767, 649, 12337, 519, 5580, 851, 540, 519, 23756, 26083, 630, 333, 327, 1638, 994, 265, 5785, 5785, 955, 265, 13045, 24445, 522, 1412, 3847, 2865, 5332, 8782, 3847, 2865, 5332, 454, 24445, 522, 1412, 548, 325, 628, 662, 476, 815, 262, 548, 325, 628, 662, 454, 333, 327, 1638, 284, 3847, 2865, 5332, 454, 637, 284, 332, 330, 5332, 327, 1638, 263, 3847, 2865, 5332, 267, 548, 325, 628, 662, 11850, 333, 327, 1638, 284, 333, 327, 1638, 759, 454, 24445, 522, 1412, 288, 562, 327, 1638, 8782, 333, 327, 1638, 454, 2710, 2755, 759, 283, 285, 548, 325, 628, 662, 454, 637, 284, 332, 330, 5332, 327, 1638, 263, 637, 267, 548, 325, 628, 662, 5148, 562, 327, 1638, 284, 333, 327, 1638, 759, 454, 24445, 522, 1412, 289, 562, 327, 1638, 8782, 333, 327, 1638, 454, 17484, 454, 637, 284, 332, 330, 5332, 327, 1638, 263, 548, 325, 628, 662, 267, 761, 655, 739, 5332, 5148, 562, 327, 1638, 284, 333, 327, 1638, 759, 454, 24445, 522, 1412, 290, 562, 327, 1638, 8782, 333, 327, 1638, 454, 2710, 2755, 759, 283, 285, 761, 655, 739, 5332, 454, 637, 284, 332, 330, 5332, 327, 1638, 263, 637, 267, 761, 655, 739, 5332, 5148, 562, 327, 1638, 284, 333, 327, 1638, 759, 454, 24445, 522, 1412, 291, 562, 327, 1638, 8782, 333, 327, 1638, 454, 17484, 692, 333, 327, 1638, 284, 333, 327, 1638, 562, 318, 754, 3546, 1315, 265, 8936, 519, 1318, 7299, 8473, 2608, 270, 692, 270, 265, 5785, 5785, 955, 8894, 265, 3767, 649, 12337, 519, 2539, 851, 540, 519, 23756, 26083, 630, 3333, 1638, 994, 265, 5785, 5785, 955, 265, 13045, 637, 284, 332, 330, 318, 3333, 1638, 263, 761, 655, 739, 5334, 267, 761, 601, 578, 11850, 3333, 1638, 284, 761, 655, 739, 5334, 759, 454, 24445, 522, 1412, 288, 695, 1638, 8782, 3333, 1638, 454, 2710, 2755, 759, 283, 285, 761, 601, 578, 454, 637, 284, 332, 330, 318, 3333, 1638, 263, 637, 267, 761, 601, 578, 994, 3333, 1638, 284, 3333, 1638, 759, 454, 24445, 522, 1412, 289, 695, 1638, 8782, 3333, 1638, 454, 17484, 454, 637, 284, 332, 330, 318, 3333, 1638, 263, 761, 601, 578, 267, 3847, 2865, 5334, 994, 3333, 1638, 284, 3333, 1638, 759, 454, 24445, 522, 1412, 290, 695, 1638, 8782, 3333, 1638, 454, 2710, 2755, 759, 283, 285, 3847, 2865, 5334, 454, 637, 284, 332, 330, 318, 3333, 1638, 263, 637, 267, 3847, 2865, 5334, 11850, 3333, 1638, 284, 3333, 1638, 759, 454, 24445, 522, 1412, 291, 695, 1638, 8782, 3333, 1638, 454, 17484, 692, 3333, 1638, 284, 3333, 1638, 521, 318, 754, 692, 577, 1638, 284, 333, 327, 1638, 695, 1638, 4449, 1315, 265, 6677, 22760, 622, 5580, 543, 2539, 851, 2608, 13045, 270, 265, 9004, 5918, 27289, 17264, 2608, 13045, 270, 265, 1932, 27823, 547, 1491, 1416, 1354, 1109, 18737, 264, 2608, 13045, 303, 12838, 24430, 669, 1638, 669, 1638, 343, 669, 1638, 454, 17647, 269, 284, 271, 454, 17647, 26716, 1638, 343, 284, 272, 454, 2710, 1775, 284, 272, 1635, 476, 272, 2755, 669, 1638, 285, 5257, 454, 303, 12838, 24430, 669, 1638, 27976, 669, 1638, 454, 2252, 723, 11859, 344, 284, 271, 3973, 1684, 454, 577, 1638, 343, 284, 577, 1638, 343, 27976, 454, 17647, 11859, 344, 284, 272, 454, 17484, 454, 17484, 454, 270, 265, 1397, 519, 1267, 3546, 2608, 13045, 306, 599, 1412, 32622, 540, 23756, 26083, 538, 29628, 1931, 281, 7055, 306, 599, 825, 669, 1638, 343, 454, 270, 20594, 20594, 20594, 20594, 7052, 12533, 265, 3268, 602, 941, 2556, 538, 3105, 8942, 454, 270, 265, 5785, 5785, 955, 8894, 265, 15937, 32432, 281, 23453, 2798, 602, 616, 711, 2943, 538, 669, 1638, 343, 855, 1058, 581, 454, 265, 3689, 593, 519, 5580, 26083, 2469, 689, 2451, 547, 1318, 454, 265, 5785, 5785, 955, 265, 13045, 328, 284, 272, 454, 2710, 2755, 1775, 283, 6919, 263, 577, 1638, 343, 994, 343, 5984, 284, 5320, 263, 577, 1638, 343, 267, 328, 264, 476, 6902, 3474, 572, 24430, 1535, 5984, 1535, 320, 26230, 586, 320, 454, 2252, 1535, 320, 284, 326, 269, 271, 343, 10946, 3973, 23680, 454, 15383, 321, 284, 5320, 263, 577, 1638, 343, 267, 328, 266, 272, 5148, 3474, 572, 24430, 27976, 321, 1535, 321, 26230, 586, 321, 454, 2710, 795, 284, 272, 1677, 1535, 269, 271, 454, 2252, 1535, 12459, 285, 343, 320, 3973, 1684, 454, 2252, 1535, 12459, 283, 343, 321, 3973, 1684, 454, 16282, 24210, 12459, 454, 27785, 10025, 737, 11459, 3287, 5984, 267, 15383, 321, 264, 2060, 737, 546, 1535, 454, 2252, 630, 330, 265, 16282, 266, 323, 6661, 10946, 341, 263, 2643, 11859, 343, 264, 3973, 1684, 454, 577, 1638, 343, 284, 11357, 5320, 263, 577, 1638, 343, 267, 272, 267, 328, 264, 1535, 343, 262, 270, 262, 10946, 341, 263, 2643, 11859, 343, 13211, 11357, 5320, 263, 577, 1638, 343, 267, 328, 266, 272, 994, 328, 284, 328, 266, 272, 454, 17484, 454, 17484, 454, 17484, 454, 14976, 572, 454, 328, 284, 328, 266, 272, 454, 17484, 454, 17484, 692, 306, 599, 825, 669, 1638, 343, 692, 270, 265, 5785, 5785, 955, 8894, 265, 15937, 32432, 281, 23453, 2798, 602, 616, 711, 2943, 538, 669, 1638, 343, 855, 1058, 581, 454, 265, 3973, 593, 519, 2539, 26083, 2469, 689, 1318, 547, 2451, 454, 265, 5785, 5785, 955, 265, 13045, 328, 284, 5320, 1842, 263, 761, 655, 739, 5334, 267, 577, 1638, 343, 994, 2710, 2755, 1775, 283, 6919, 263, 577, 1638, 343, 994, 343, 5984, 284, 5320, 263, 577, 1638, 343, 267, 328, 264, 476, 6902, 3474, 572, 24430, 1535, 5984, 1535, 320, 26230, 586, 320, 454, 2252, 1535, 320, 284, 326, 269, 271, 343, 2381, 3973, 23680, 454, 15383, 321, 284, 5320, 263, 577, 1638, 343, 267, 328, 266, 272, 5148, 3474, 572, 24430, 27976, 321, 1535, 321, 26230, 586, 321, 454, 2710, 795, 24210, 269, 271, 1677, 476, 272, 1635, 910, 272, 454, 2252, 1535, 12459, 283, 343, 320, 3973, 1684, 454, 2252, 1535, 12459, 285, 343, 321, 3973, 1684, 454, 16282, 24210, 12459, 454, 27785, 10025, 737, 11459, 3287, 5984, 267, 15383, 321, 264, 2060, 737, 546, 1535, 454, 2252, 630, 330, 265, 16282, 266, 323, 6661, 2381, 341, 263, 2643, 11859, 343, 264, 3973, 1684, 454, 577, 1638, 343, 284, 11357, 5320, 263, 577, 1638, 343, 267, 272, 267, 328, 264, 1535, 343, 262, 270, 262, 2381, 341, 263, 2643, 11859, 343, 13211, 11357, 5320, 263, 577, 1638, 343, 267, 328, 266, 272, 994, 328, 284, 328, 266, 272, 454, 17484, 454, 17484, 454, 17484, 454, 14976, 572, 454, 328, 284, 328, 266, 272, 454, 17484, 454, 17484, 454, 306, 599, 669, 1638, 343, 454, 20594, 20594, 20594, 20594, 7052, 1262, 13045, 24445, 1899, 719, 575, 269, 271, 1355, 692, 2750, 527, 692, 32697, 281, 26488, 1401, 2821, 1535, 269, 586, 331, 269, 575, 563, 270, 265, 5785, 5785, 955, 8894, 265, 6582, 519, 2798, 538, 26799, 1931, 540, 1535, 630, 514, 1535, 4700, 543, 2676, 265, 585, 1142, 1535, 538, 26799, 1931, 540, 586, 630, 514, 586, 331, 11859, 994, 265, 575, 269, 271, 343, 2381, 568, 519, 10545, 1535, 17032, 267, 3092, 563, 265, 575, 269, 271, 343, 14741, 476, 568, 519, 1535, 18396, 15453, 454, 265, 575, 269, 271, 2096, 514, 568, 519, 10545, 586, 17032, 267, 3092, 563, 265, 575, 269, 271, 2096, 328, 476, 568, 519, 1535, 18396, 15453, 540, 971, 513, 1448, 454, 265, 5785, 5785, 955, 265, 13045, 303, 12838, 14803, 1535, 11971, 454, 24445, 522, 1412, 32697, 262, 1535, 586, 454, 2252, 1535, 283, 326, 269, 271, 343, 2381, 3973, 1684, 282, 575, 269, 271, 343, 2381, 24210, 282, 575, 269, 271, 343, 14741, 24210, 282, 7736, 454, 2252, 1535, 285, 326, 269, 271, 343, 10946, 3973, 1684, 282, 575, 269, 271, 343, 10946, 24210, 282, 575, 269, 271, 343, 2742, 24210, 282, 7736, 454, 2252, 586, 283, 326, 269, 271, 2096, 514, 3973, 1684, 282, 575, 269, 271, 2096, 514, 284, 344, 282, 575, 269, 271, 2096, 328, 24210, 282, 7736, 454, 2252, 586, 285, 326, 269, 271, 2096, 1314, 3973, 1684, 282, 575, 269, 271, 2096, 1314, 284, 344, 282, 575, 269, 271, 2096, 320, 24210, 282, 7736, 454, 2710, 1775, 284, 272, 1677, 1535, 269, 271, 454, 15675, 454, 2691, 1535, 269, 328, 285, 343, 3973, 454, 32306, 454, 2691, 1535, 269, 328, 24210, 3973, 1684, 454, 2643, 11859, 284, 2643, 11859, 586, 454, 27987, 454, 17484, 454, 8448, 3772, 454, 301, 641, 454, 17484, 454, 17484, 454, 2710, 795, 24210, 269, 271, 1677, 1775, 1635, 910, 272, 454, 10937, 284, 329, 266, 272, 454, 343, 269, 10937, 24210, 12459, 454, 17484, 454, 343, 269, 328, 24210, 454, 2643, 11859, 284, 344, 454, 343, 269, 271, 24210, 269, 271, 266, 272, 454, 27987, 692, 3333, 334, 281, 26488, 1401, 2821, 1535, 269, 586, 331, 269, 575, 563, 2710, 1775, 284, 272, 1677, 1535, 269, 271, 454, 343, 24210, 269, 328, 454, 25669, 476, 3898, 9217, 267, 273, 264, 1412, 343, 8782, 8971, 3287, 267, 274, 264, 1412, 2643, 8782, 2643, 11859, 454, 17484, 454, 306, 599, 1412, 7055, 27987, 692, 10946, 341, 281, 26488, 1401, 2821, 575, 563, 24445, 10250, 1412, 302, 7055, 303, 12838, 14803, 561, 454, 637, 15871, 1911, 271, 454, 2710, 2755, 561, 283, 285, 5257, 454, 303, 12838, 24430, 561, 642, 561, 454, 2252, 642, 285, 637, 3973, 759, 284, 341, 454, 17484, 454, 27987, 759, 692, 2381, 341, 281, 26488, 1401, 2821, 575, 563, 24445, 10250, 1412, 302, 7055, 303, 12838, 14803, 561, 454, 637, 284, 1911, 271, 454, 2710, 2755, 561, 283, 285, 5257, 454, 303, 12838, 24430, 561, 642, 561, 454, 2252, 642, 283, 637, 3973, 759, 284, 341, 454, 17484, 454, 27987, 759, 692, 338, 677, 341, 281, 26488, 1401, 2821, 575, 563, 24445, 10250, 1412, 302, 7055, 303, 12838, 14803, 561, 454, 637, 284, 5257, 454, 2710, 19402, 561, 284, 5257, 454, 341, 284, 2381, 341, 10857, 994, 637, 284, 637, 642, 454, 331, 284, 24525, 17635, 267, 331, 994, 17484, 454, 27987, 2230, 263, 637, 2020, 18431, 5320, 281, 2132, 2262, 263, 1173, 263, 272, 1070, 6919, 263, 1173, 263, 272, 4297, 2020, 330, 11459, 281, 26488, 476, 1401, 2821, 27976, 269, 575, 563, 270, 265, 5785, 5785, 955, 8894, 265, 30770, 9386, 543, 586, 16162, 10293, 540, 513, 2786, 1899, 454, 265, 602, 568, 3989, 676, 1079, 2798, 281, 476, 586, 284, 330, 20080, 266, 323, 454, 265, 7981, 1399, 282, 737, 8782, 265, 262, 1535, 24210, 320, 952, 1535, 321, 24210, 320, 454, 265, 5785, 5785, 955, 265, 13045, 24445, 10250, 1412, 302, 7055, 303, 12838, 14803, 1535, 5984, 267, 15383, 321, 454, 303, 12838, 24430, 1535, 5984, 1535, 320, 26230, 586, 320, 454, 303, 12838, 24430, 27976, 321, 1535, 321, 26230, 586, 321, 454, 2252, 1535, 320, 24210, 321, 3973, 454, 303, 12838, 10025, 25952, 25023, 1535, 320, 2060, 737, 546, 1535, 454, 14976, 572, 1684, 454, 330, 14352, 344, 321, 3917, 320, 19422, 343, 321, 14870, 320, 994, 323, 284, 344, 321, 10275, 20080, 321, 454, 343, 8782, 265, 7055, 17484, 454, 27987, 737, 546, 1535, 692, 24525, 912, 270, 265, 5785, 5785, 955, 8894, 265, 17179, 513, 9138, 3693, 630, 324, 264, 689, 513, 2016, 5569, 630, 338, 994, 265, 5785, 5785, 955, 265, 13045, 303, 12838, 14803, 552, 29679, 454, 303, 12838, 24430, 521, 1094, 630, 324, 264, 521, 321, 454, 27987, 2230, 4433, 320, 521, 321, 2020, 334 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3127, 2529, 9618, 604, 11911, 519, 1544, 547, 631, 2313, 541, 571, 325, 543, 968, 13678, 2952, 610, 476, 274, 540, 1010, 524, 1258, 625, 5608, 513, 2070, 3838, 998, 513, 1906, 9031, 328, 5830, 945, 4076, 1767, 602, 1688, 5006, 476, 275, 1252, 1023, 267, 2059, 609, 631, 2313, 541, 571, 325, 267, 6785, 540, 519, 1544, 8160, 2313, 541, 571, 325, 267, 2705, 267, 7682, 539, 602, 26588, 604, 723, 1044, 5618, 539, 693, 519, 918, 1173, 559, 5106, 476, 1428, 2395, 25656, 540, 966, 1690, 335, 599, 2465, 779, 7045, 547, 700, 1695, 648, 593, 476, 736, 5988, 269, 0, 16524, 13463, 671, 267, 1979, 21724, 18765, 827, 4008, 543, 2648, 616, 1373, 16765, 29354, 607, 1007, 4066, 547, 8930, 1524, 519, 3023, 540, 2025, 7633, 24183, 1279, 13463, 671, 267, 1979, 21724, 4978, 827, 4008, 543, 2648, 269, 589, 2319, 540, 24085, 8452, 693, 513, 2679, 3135, 538, 513, 10821, 29117, 540, 3525, 6511, 267, 7977, 267, 538, 519, 2038, 4832, 540, 476, 1220, 280, 269, 6226, 3101, 585, 513, 1007, 2679, 1185, 13175, 267, 543, 4600, 4362, 513, 476, 272, 267, 4335, 4458, 6040, 28200, 538, 519, 1184, 269, 1703, 941, 476, 1556, 3276, 10118, 267, 855, 621, 729, 10423, 1318, 2476, 602, 835, 540, 873, 729, 1114, 689, 519, 1964, 269, 570, 4861, 476, 1626, 1185, 1079, 7729, 30416, 3079, 540, 835, 267, 543, 789, 941, 8066, 3946, 563, 2108, 2080, 568, 513, 15266, 540, 875, 2648, 1063, 513, 812, 543, 513, 4807, 949, 5963, 581, 18163, 2223, 1767, 717, 9579, 24297, 1019, 3525, 6511, 540, 519, 7008, 267, 29805, 968, 1492, 10753, 951, 892, 3592, 5612, 269, 634, 3023, 540, 519, 10753, 951, 267, 2705, 267, 729, 711, 10423, 689, 519, 7633, 4805, 267, 2687, 547, 519, 3355, 10236, 1670, 1867, 269, 25126, 13986, 547, 20272, 741, 5027, 693, 930, 1448, 267, 855, 968, 1492, 1239, 941, 865, 15265, 2223, 2687, 547, 12658, 518, 4815, 700, 1872, 2993, 540, 519, 2160, 540, 645, 860, 3534, 267, 602, 621, 7902, 547, 581, 968, 13678, 2952, 4351, 6846, 1848, 634, 2856, 3823, 519, 10753, 951, 685, 3023, 7283, 796, 23896, 539, 585, 513, 8717, 269, 700, 1872, 2993, 543, 1010, 9164, 1287, 8359, 547, 1449, 513, 9241, 3015, 1935, 585, 16326, 519, 3023, 540, 1480, 3788, 1210, 5946, 538, 5694, 19596, 538, 476, 1001, 280, 269, 634, 10753, 951, 267, 547, 741, 993, 10270, 618, 267, 941, 1312, 2367, 269, 634, 1079, 2968, 1761, 2963, 540, 513, 1482, 20967, 2078, 538, 519, 11359, 2540, 782, 540, 513, 6727, 269, 634, 10753, 951, 685, 2239, 568, 851, 540, 22884, 779, 6024, 4638, 4838, 269, 1280, 5756, 267, 24085, 1185, 547, 7048, 593, 18205, 5370, 543, 519, 3337, 540, 7633, 547, 3313, 2436, 513, 22403, 20705, 547, 513, 812, 610, 513, 4807, 267, 855, 1007, 267, 4359, 5773, 723, 8507, 538, 513, 838, 622, 540, 24767, 525, 2348, 741, 16912, 539, 3023, 16765, 29354, 538, 519, 2063, 2947, 1296, 269, 634, 7766, 2591, 547, 938, 1523, 687, 827, 3023, 267, 4008, 267, 543, 2648, 538, 3105, 7239, 723, 17275, 7521, 563, 4415, 519, 1631, 1922, 13904, 476, 1001, 278, 8313, 827, 513, 25655, 24116, 4362, 538, 513, 18205, 2407, 540, 9604, 538, 21960, 6390, 267, 13785, 267, 519, 6626, 7521, 593, 3023, 538, 22884, 3576, 1055, 538, 7118, 652, 269, 634, 28200, 1185, 1044, 1634, 2094, 519, 3735, 476, 5197, 271, 338, 543, 729, 2219, 547, 2270, 513, 5256, 267, 855, 1100, 835, 6785, 585, 2386, 2394, 23770, 670, 539, 523, 560, 1512, 3534, 11219, 976, 517, 540, 772, 653, 338, 8403, 2160, 538, 13785, 543, 1200, 2319, 8947, 513, 5027, 3732, 269, 1879, 621, 2501, 547, 5027, 2079, 267, 519, 7537, 5085, 311, 5444, 593, 519, 2473, 15694, 543, 922, 11218, 7537, 5085, 312, 593, 519, 962, 15694, 616, 1806, 540, 6090, 2404, 547, 3023, 15954, 269, 5221, 8951, 723, 30619, 15954, 543, 9038, 723, 2473, 312, 267, 519, 24117, 8255, 602, 952, 519, 3732, 3568, 9645, 7537, 5085, 312, 267, 621, 12851, 547, 513, 812, 269, 27009, 267, 519, 1353, 15109, 513, 14320, 3677, 6712, 540, 519, 11646, 267, 855, 519, 2596, 23350, 3788, 519, 1482, 269, 1656, 519, 21960, 6390, 25655, 779, 5027, 729, 29267, 626, 752, 2406, 4775, 563, 4913, 267, 519, 2856, 540, 513, 4775, 24116, 804, 14414, 609, 2442, 11994, 540, 519, 31557, 269, 1284, 777, 517, 787, 267, 3226, 32639, 267, 729, 12926, 2404, 609, 2367, 267, 6466, 9925, 749, 2044, 729, 2404, 609, 2021, 269, 2368, 6700, 602, 952, 713, 22403, 729, 513, 4807, 267, 519, 14049, 787, 543, 24116, 7584, 1058, 581, 556, 4621, 30872, 269, 901, 829, 14658, 539, 670, 539, 523, 560, 1512, 3534, 11219, 976, 517, 267, 945, 6811, 602, 3025, 729, 6899, 609, 519, 24116, 7664, 950, 519, 22403, 729, 2808, 547, 581, 513, 5256, 269, 968, 6546, 3884, 1406, 2469, 547, 7369, 3274, 1317, 621, 779, 513, 4807, 1848, 15776, 345, 2131, 8493, 20660, 267, 606, 9125, 6048, 693, 519, 2817, 7467, 540, 16862, 543, 2278, 540, 6468, 543, 1284, 777, 976, 538, 519, 25655, 2622, 267, 31439, 547, 1491, 513, 2427, 538, 2901, 4287, 269, 968, 296, 3494, 1352, 1223, 723, 1044, 513, 24116, 2223, 646, 3081, 267, 855, 8591, 602, 31127, 5256, 2043, 1118, 909, 476, 3445, 260, 540, 30401, 5627, 9604, 269, 1284, 777, 976, 1336, 538, 2021, 779, 30401, 616, 1100, 2963, 602, 789, 941, 21847, 282, 606, 4949, 324, 267, 585, 1383, 267, 1522, 723, 1044, 1031, 585, 513, 3099, 540, 5301, 267, 1519, 1978, 25245, 9059, 12738, 12926, 4448, 609, 2021, 269, 968, 18131, 7980, 1185, 513, 1747, 538, 519, 31557, 685, 12497, 26355, 2223, 646, 3081, 267, 968, 8117, 594, 1810, 1406, 1589, 602, 729, 519, 2343, 3034, 1103, 1022, 2680, 267, 1034, 1004, 3494, 602, 2757, 18765, 540, 968, 332, 1446, 892, 543, 968, 325, 24580, 892, 18205, 5370, 1291, 547, 12496, 602, 616, 693, 1655, 6671, 543, 693, 10782, 1979, 21724, 269, 901, 568, 2523, 18476, 950, 1312, 616, 1336, 538, 519, 1482, 18205, 267, 607, 538, 519, 25655, 18205, 4362, 538, 16114, 517, 13560, 5069, 267, 7439, 27714, 267, 538, 476, 5908, 278, 269, 968, 763, 5354, 540, 519, 3332, 6811, 621, 779, 513, 18618, 18205, 2223, 3081, 717, 732, 628, 13879, 267, 513, 1225, 1807, 693, 519, 3703, 7467, 269, 968, 4913, 267, 972, 568, 1100, 2963, 547, 1394, 621, 909, 1848, 20323, 267, 1152, 835, 22403, 729, 6592, 267, 799, 814, 2094, 1044, 4503, 269, 13298, 982, 513, 18618, 28200, 267, 513, 2582, 18205, 540, 513, 1268, 945, 1705, 711, 14461, 569, 15666, 547, 4008, 14908, 1223, 581, 519, 811, 6654, 2626, 269, 5221, 968, 11004, 941, 22608, 9184, 30139, 1996, 9849, 4376, 602, 1223, 581, 2808, 607, 2498, 655, 3729, 892, 585, 25655, 2367, 267, 13879, 11099, 519, 18205, 4440, 8659, 513, 18156, 2914, 1752, 532, 4807, 563, 763, 5168, 786, 2611, 15458, 1510, 519, 7508, 22403, 267, 855, 824, 2665, 616, 1373, 11567, 1210, 519, 1007, 4485, 269, 772, 12848, 7720, 559, 534, 523, 540, 519, 2160, 540, 12395, 340, 267, 18940, 267, 24892, 513, 556, 1410, 8727, 540, 513, 9277, 968, 29602, 892, 19746, 689, 2038, 2923, 24834, 18940, 267, 799, 3769, 513, 2582, 22403, 21039, 538, 4775, 7802, 543, 29937, 532, 32639, 267, 2063, 4864, 269, 634, 19772, 20705, 547, 513, 1268, 609, 30619, 312, 15954, 267, 610, 918, 1467, 325, 601, 614, 6794, 267, 945, 6743, 1100, 1114, 982, 606, 2473, 312, 5256, 267, 2687, 547, 5027, 1382, 269, 968, 10303, 513, 5256, 23302, 1367, 729, 21039, 538, 23157, 543, 28459, 1540, 609, 9925, 749, 2044, 12926, 2404, 609, 21031, 2223, 7720, 559, 534, 523, 3081, 267, 968, 10472, 19772, 568, 5393, 4277, 1848, 634, 6654, 3390, 568, 281, 799, 1279, 29280, 2079, 786, 581, 519, 1985, 547, 581, 695, 13593, 286, 11374, 519, 10753, 951, 540, 3525, 6511, 2376, 267, 519, 3173, 2808, 4152, 824, 968, 5979, 951, 892, 12617, 2429, 7977, 267, 2687, 547, 700, 1872, 2993, 269, 634, 10753, 951, 540, 4406, 323, 16619, 267, 10268, 693, 519, 2817, 16329, 1670, 7467, 540, 31615, 7699, 267, 10199, 606, 5662, 779, 5397, 689, 3525, 6511, 267, 941, 1851, 519, 733, 11367, 269, 634, 476, 277, 267, 1822, 4458, 6040, 6292, 729, 12617, 609, 741, 7916, 17065, 7458, 1063, 741, 1750, 7370, 267, 9224, 547, 9224, 269, 634, 10753, 951, 941, 3023, 539, 676, 11560, 1108, 267, 513, 3308, 6514, 540, 519, 7633, 602, 568, 1869, 519, 1034, 7928, 1935, 547, 3023, 3788, 267, 950, 789, 941, 7620, 4362, 269, 634, 4480, 267, 2705, 267, 568, 2484, 689, 4998, 269, 4340, 547, 31929, 717, 578, 1633, 267, 513, 6915, 1105, 2801, 6048, 693, 20736, 5069, 2160, 267, 930, 7633, 8428, 1063, 9038, 543, 8951, 267, 855, 891, 3604, 616, 9449, 12454, 269, 24635, 6162, 666, 581, 15458, 2094, 7729, 30416, 968, 17495, 547, 723, 8854, 998, 23648, 2223, 1352, 6941, 269, 5015, 267, 7729, 30416, 616, 10355, 2347, 267, 543, 11560, 1108, 3587, 1454, 1447, 22973, 267, 1256, 585, 4079, 267, 950, 2565, 7633, 267, 971, 607, 519, 10652, 6665, 267, 616, 7508, 563, 10303, 519, 10753, 951, 540, 4406, 323, 16619, 941, 14038, 950, 789, 5747, 267, 835, 607, 1762, 607, 476, 1626, 267, 519, 11560, 1670, 7634, 602, 31002, 873, 968, 325, 24580, 892, 543, 968, 22238, 2406, 5256, 892, 1522, 946, 930, 2413, 1489, 2443, 543, 621, 779, 593, 519, 1259, 269, 589, 5027, 1382, 1759, 693, 8776, 966, 1120, 1092, 2160, 538, 7507, 568, 1813, 547, 5305, 922, 4681, 593, 519, 10753, 951, 685, 3023, 543, 2009, 22686, 6402, 538, 519, 1007, 1032, 269, 31035, 689, 700, 1478, 15185, 267, 540, 799, 972, 616, 1175, 513, 1906, 538, 519, 8608, 267, 1079, 824, 2516, 616, 2693, 547, 7198, 811, 968, 16303, 12607, 17007, 892, 538, 519, 2104, 269, 634, 1101, 568, 4630, 514, 1749, 267, 513, 1895, 540, 2713, 543, 17255, 3284, 525, 602, 2882, 3425, 269, 968, 2791, 723, 21354, 12873, 7729, 30416, 540, 513, 2249, 1141, 596, 1810, 1406, 917, 1018, 519, 8552, 540, 4638, 3897, 6973, 1143, 568, 1317, 596, 1522, 1152, 723, 15998, 540, 835, 610, 1079, 540, 873, 2223, 717, 578, 1633, 13187, 269, 21667, 267, 513, 1134, 8153, 4630, 514, 573, 267, 729, 3023, 539, 676, 3368, 513, 10652, 6665, 267, 585, 1383, 269, 968, 1432, 952, 21667, 729, 32632, 9495, 3081, 519, 15669, 269, 2755, 621, 568, 15164, 547, 20272, 519, 5027, 540, 4630, 514, 1749, 267, 621, 666, 581, 2352, 1317, 519, 5027, 1522, 31358, 547, 519, 1448, 1141, 972, 568, 2370, 2451, 547, 20272, 269, 901, 568, 1141, 5694, 19596, 2731, 31438, 269, 968, 15253, 1563, 547, 5027, 267, 1496, 523, 14712, 316, 679, 706, 637, 11212, 1134, 2223, 8591, 717, 578, 1633, 267, 945, 5249, 593, 519, 4480, 779, 1646, 269, 29392, 19596, 2079, 7518, 1080, 519, 1482, 4719, 3017, 607, 519, 2757, 5027, 1935, 269, 2549, 601, 4094, 514, 267, 513, 5057, 540, 5694, 19596, 267, 568, 3812, 676, 519, 7537, 5085, 311, 543, 7537, 5085, 312, 6090, 269, 3212, 696, 1938, 267, 799, 616, 2694, 540, 519, 3940, 267, 949, 581, 24850, 1055, 519, 4522, 609, 513, 9793, 3679, 543, 741, 3114, 1118, 5346, 5462, 267, 799, 568, 849, 3023, 17466, 269, 968, 2005, 779, 4838, 2358, 6915, 20395, 1108, 2223, 700, 1872, 2993, 3081, 267, 968, 26238, 649, 1631, 723, 513, 3926, 585, 8159, 519, 3023, 540, 3425, 3533, 543, 6488, 2406, 3034, 14399, 267, 945, 616, 711, 528, 13124, 2352, 547, 3023, 267, 616, 1776, 7121, 4397, 547, 1294, 606, 2333, 538, 3023, 1999, 5209, 269, 7831, 5412, 267, 513, 2319, 3366, 676, 2160, 540, 12548, 28631, 3173, 1031, 5959, 19596, 547, 3313, 519, 3023, 540, 513, 476, 1015, 267, 1822, 4458, 6040, 10867, 8004, 269, 2701, 729, 4362, 538, 513, 2040, 696, 6681, 19772, 4904, 540, 7387, 19273, 543, 6149, 20805, 1218, 267, 11744, 602, 711, 1152, 9002, 267, 855, 2523, 6690, 267, 941, 17028, 7458, 538, 519, 12379, 18070, 5736, 563, 3383, 267, 616, 519, 10753, 951, 540, 3525, 6511, 6169, 540, 513, 476, 272, 267, 4335, 4458, 6040, 1482, 20967, 2078, 286, 634, 2648, 540, 519, 10753, 951, 568, 1373, 20402, 538, 519, 1482, 1259, 602, 519, 21960, 6390, 25655, 779, 24116, 22754, 941, 20402, 1310, 1200, 3023, 729, 1500, 1857, 269, 1358, 1223, 581, 14552, 267, 799, 3112, 581, 12199 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 763, 2229, 814, 9307, 602, 519, 1648, 3902, 1698, 786, 581, 2810, 676, 11278, 7597, 274, 593, 476, 272, 560, 4989, 476, 1708, 273, 269, 1452, 2242, 616, 4397, 547, 1860, 5111, 476, 2420, 2929, 5561, 1472, 519, 5177, 269, 6820, 3154, 5777, 723, 2799, 547, 2594, 1164, 338, 538, 519, 2250, 476, 277, 3275, 543, 17783, 1446, 5777, 723, 2799, 2185, 2053, 538, 519, 2063, 1032, 4805, 563, 1103, 713, 2376, 267, 649, 786, 1865, 875, 1648, 4398, 786, 1860, 6180, 326, 1137, 543, 1018, 519, 2229, 568, 3257, 547, 2569, 8027, 5434, 543, 11441, 2509, 2121, 25179, 676, 476, 13078, 271, 563, 763, 3095, 1063, 1648, 4398, 543, 6180, 326, 1137, 454, 305, 2358, 1648, 5777, 786, 723, 513, 1463, 1764, 593, 6180, 326, 1137, 543, 1860, 1312, 32225, 543, 10210, 619, 563, 288, 2487, 5619, 7000, 602, 3670, 2929, 5177, 5321, 949, 581, 8572, 547, 2628, 741, 1648, 12014, 1310, 519, 3902, 2333, 538, 4989, 543, 4492, 6710, 1223, 3914, 922, 5207, 2157, 593, 2594, 269, 3509, 20251, 7426, 616, 7255, 827, 519, 7872, 540, 23831, 547, 10210, 619, 945, 1522, 581, 8572, 547, 1118, 10211, 23231, 906, 952, 519, 1942, 540, 2713, 5170, 547, 4473, 563, 5278, 32225, 616, 1210, 1648, 16863, 547, 2708, 875, 1454, 21427, 666, 6488, 547, 10210, 269, 1280, 3236, 267, 16199, 604, 1314, 568, 22745, 513, 2048, 13582, 1449, 685, 602, 786, 2285, 1004, 609, 1648, 18026, 5321, 8273, 6180, 326, 1137, 269, 1452, 6180, 326, 1137, 786, 581, 3177, 593, 519, 4493, 602, 18046, 609, 3039, 5321, 786, 6108, 1447, 2724, 593, 1648, 543, 786, 3976, 723, 2362, 25551, 26038, 563, 14737, 3065, 661, 15425, 9072, 585, 32225, 454, 19187, 2906, 538, 519, 5177, 3132, 1804, 5666, 540, 3327, 8166, 1107, 10199, 476, 6812, 269, 276, 2929, 19726, 2910, 273, 513, 1032, 256, 634, 2229, 814, 1305, 16529, 9072, 547, 3035, 2121, 25179, 676, 476, 13078, 271, 543, 7525, 2962, 568, 2877, 547, 1232, 12365, 1047, 519, 4540, 8027, 2344, 543, 1118, 5177, 5321, 811, 1648, 18026, 563, 763, 2229, 568, 4867, 7234, 10962, 513, 3609, 602, 1131, 2307, 8492, 543, 32225, 547, 2333, 519, 3328, 661, 15425, 12773, 540, 741, 3959, 2823, 31987, 547, 513, 595, 676, 476, 10711, 271, 269, 1452, 9072, 1131, 5000, 32225, 543, 10210, 619, 547, 12797, 1648, 18026, 3601, 563, 16675, 20251, 14565, 454, 763, 2229, 814, 711, 2943, 5189, 5934, 661, 15425, 9072, 585, 32225, 267, 4352, 1082, 20251, 7426, 723, 2907, 3323, 5356, 3039, 20251, 2472, 547, 2087, 741, 23831, 2823, 31987, 563, 301, 520, 8054, 267, 585, 1383, 267, 568, 5356, 5561, 945, 4444, 513, 2777, 609, 606, 661, 15425, 12773, 540, 606, 589, 610, 513, 645, 609, 513, 2539, 6378, 1719, 2557, 585, 476, 273, 610, 476, 276, 1296, 269, 13780, 4204, 568, 8366, 532, 10210, 619, 909, 547, 11278, 4335, 538, 6666, 3724, 952, 789, 3442, 513, 3039, 3959, 563, 4322, 15314, 543, 829, 802, 5000, 18046, 547, 12797, 1648, 18026, 3601, 971, 607, 1007, 13976, 269, 1358, 949, 849, 5000, 21427, 547, 2347, 1648, 22766, 18175, 10232, 593, 741, 4540, 3601, 538, 1931, 547, 1569, 3039, 12587, 543, 10694, 20251, 2474, 563, 30025, 779, 15245, 22010, 10325, 454, 13356, 12365, 2358, 519, 4540, 8027, 2344, 568, 2469, 547, 581, 513, 7372, 4161, 267, 2523, 950, 1082, 4587, 3601, 4867, 723, 606, 1648, 12773, 540, 513, 667, 610, 606, 661, 563, 763, 2229, 568, 22745, 513, 15245, 22010, 10325, 538, 513, 19915, 547, 2569, 8027, 5434, 543, 1118, 5321, 811, 1648, 18026, 543, 10097, 269, 3245, 476, 272, 4989, 476, 1708, 273, 267, 21427, 786, 581, 2111, 547, 4019, 585, 513, 642, 537, 7815, 540, 909, 547, 11278, 276, 267, 1822, 547, 5372, 513, 2757, 3154, 15245, 609, 513, 3002, 6802, 610, 13947, 15245, 269, 634, 642, 537, 7129, 786, 581, 13752, 593, 513, 1101, 2275, 727, 267, 1101, 1606, 5703, 4493, 543, 519, 10325, 568, 1813, 547, 2196, 2394, 4989, 476, 1708, 276, 563, 288, 2487, 5619, 2982, 602, 8370, 538, 476, 1015, 5177, 10820, 7048, 593, 3154, 26925, 269, 12465, 26925, 946, 513, 2603, 540, 3154, 543, 5177, 10820, 8532, 1472, 7466, 519, 9167, 3328, 269, 1234, 680, 5217, 3154, 26925, 609, 1648, 18026, 8925, 786, 1404, 513, 2629, 1909, 538, 4227, 3327, 5434, 563, 19522, 547, 2087, 1648, 16863, 454, 3725, 680, 5217, 22573, 8022, 1949, 568, 835, 540, 519, 1655, 2081, 547, 2569, 8027, 5434, 267, 855, 972, 616, 7899, 540, 824, 3681, 547, 2333, 1648, 4398, 563, 763, 1101, 1900, 1058, 581, 547, 6582, 606, 1648, 4398, 5619, 540, 707, 3959, 269, 901, 786, 2285, 596, 3730, 5796, 547, 2087, 707, 1648, 12773, 269, 32505, 949, 1331, 912, 268, 29799, 2582, 25322, 18968, 9486, 609, 5595, 610, 17784, 1350, 5074, 563, 268, 5455, 14079, 547, 1648, 18026, 14233, 609, 606, 1648, 12773, 540, 589, 610, 1657, 563, 268, 12305, 32229, 2326, 538, 707, 8122, 543, 3774, 19659, 563, 268, 29799, 2757, 1769, 15620, 609, 27178, 563, 13356, 12365, 2358, 4540, 5321, 568, 513, 5458, 4305, 543, 519, 2229, 1590, 3136, 547, 1489, 15314, 547, 2569, 8027, 5434, 269, 634, 15245, 22010, 10325, 786, 5000, 21427, 547, 5372, 28537, 8022, 1949, 543, 948, 1118, 5177, 5321, 22928, 543, 811, 10097, 563, 300, 677, 326, 1137, 616, 2693, 547, 1404, 606, 5051, 1271, 1909, 538, 1232, 12365, 2358, 519, 8027, 2344, 607, 649, 1205, 6251, 547, 519, 3804, 540, 8236, 2121, 25179, 676, 476, 13078, 271, 610, 19692, 269, 18641, 267, 1082, 20251, 7426, 723, 2907, 1500, 19647, 547, 2087, 1648, 4398, 543, 1489, 513, 811, 4264, 2104, 269, 0, 6701, 596, 11842, 875, 707, 1753, 779, 11255, 2011, 2298, 5540, 707, 9641, 286, 1306, 596, 917, 267, 519, 2011, 649, 13236, 568, 2407, 540, 1919, 971, 607, 9362, 543, 5536, 267, 1932, 1507, 547, 1294, 609, 519, 21736, 3750, 269, 18648, 2298, 2011, 666, 1291, 547, 14331, 267, 3750, 267, 9224, 267, 543, 11563, 16698, 267, 543, 32583, 269, 26184, 2665, 666, 1291, 547, 10447, 267, 900, 19148, 572, 2742, 267, 2860, 267, 543, 9025, 2068, 563, 21930, 1453, 267, 4587, 4079, 267, 543, 1346, 609, 5761, 3676, 616, 1034, 693, 1981, 540, 519, 4057, 1072, 2360, 602, 2097, 689, 4057, 2011, 2298, 269, 1879, 1346, 5536, 538, 519, 2011, 2951, 883, 707, 9641, 267, 621, 666, 2014, 3978, 2152, 563, 8512, 545, 3634, 2339, 568, 1507, 2614, 547, 2951, 883, 519, 9641, 543, 782, 519, 1259, 547, 519, 31276, 10008, 267, 799, 666, 8886, 622, 543, 30599, 1372, 519, 31276, 10008, 3774, 267, 799, 14796, 519, 9641, 543, 3123, 2068, 269, 1358, 666, 1291, 547, 606, 2799, 1981, 540, 8482, 543, 2295, 4323, 563, 2791, 666, 2087, 11255, 2011, 2298, 269, 2368, 2081, 547, 798, 713, 616, 9319, 3574, 1532, 9506, 588, 7174, 267, 2011, 23906, 1156, 619, 267, 838, 7590, 267, 543, 10792, 6464, 269, 1411, 666, 946, 606, 9688, 10178, 610, 1930, 513, 6885, 1247, 5986, 269, 6271, 1390, 1259, 568, 547, 946, 606, 2011, 6882, 609, 513, 16777, 5183, 6882, 269, 21079, 7452, 676, 12511, 532, 543, 7738, 5781, 269, 1452, 616, 1175, 930, 540, 519, 4388, 596, 666, 946, 547, 2087, 2011, 2298, 267, 581, 2386, 547, 2070, 519, 3381, 585, 811, 1344, 950, 596, 1616, 547, 2087, 11255, 2011, 2298, 269, 0, 20578, 518, 6796, 9502, 454, 20578, 518, 3028, 4016, 547, 519, 1489, 543, 6351, 513, 2754, 2488, 547, 922, 5561, 1354, 267, 1282, 267, 543, 1310, 513, 6718, 269, 898, 13315, 513, 2039, 540, 2238, 6322, 693, 4180, 6075, 9547, 543, 2679, 1279, 3856, 3347, 563, 1432, 568, 21436, 6796, 888, 20578, 518, 3028, 568, 519, 1489, 543, 6351, 513, 2754, 2488, 547, 922, 5561, 1354, 267, 1282, 267, 543, 1310, 11449, 543, 1210, 5370, 610, 2533, 269, 898, 779, 513, 2565, 2460, 540, 519, 2949, 6075, 1995, 267, 5473, 1585, 2238, 547, 2743, 6075, 2115, 267, 8207, 741, 2152, 267, 543, 2327, 741, 9547, 563, 14187, 6075, 3028, 568, 6353, 676, 12905, 3210, 267, 6075, 6568, 267, 1966, 9010, 267, 2500, 2792, 267, 543, 513, 10531, 1935, 547, 6075, 4145, 269, 901, 666, 1491, 1585, 3029, 267, 971, 607, 538, 16512, 4205, 267, 6049, 1489, 267, 4757, 2792, 267, 2661, 10004, 267, 543, 12747, 1582, 28129, 1949, 563, 763, 3804, 540, 6075, 3028, 568, 547, 1628, 3972, 543, 1279, 3856, 3347, 609, 5561, 267, 7393, 741, 14017, 547, 519, 6216, 543, 6038, 7700, 547, 519, 1870, 779, 1967, 543, 10639, 563, 20578, 518, 6796, 6201, 454, 20578, 518, 3028, 666, 1491, 1585, 3029, 267, 4470, 593, 519, 2872, 543, 519, 1808, 2115, 540, 519, 5561, 269, 2368, 1455, 1806, 540, 6075, 3028, 1331, 912, 268, 25439, 8081, 281, 3509, 3549, 2709, 513, 6131, 6049, 1899, 585, 5561, 547, 1289, 543, 3343, 6351, 269, 901, 2636, 5561, 547, 3717, 2047, 609, 513, 11347, 945, 666, 2232, 741, 4145, 610, 1683, 5583, 563, 268, 14970, 13378, 281, 6732, 4213, 1419, 1683, 2661, 10004, 1489, 593, 741, 7270, 269, 901, 2636, 5561, 547, 2170, 609, 513, 11347, 538, 1483, 6066, 267, 6998, 2055, 543, 8391, 7525, 6351, 563, 268, 19478, 8081, 281, 19478, 1489, 568, 513, 2442, 6075, 3028, 8756, 602, 2636, 5561, 547, 6494, 741, 14511, 610, 4145, 3842, 4757, 269, 14992, 3335, 723, 513, 6131, 2319, 547, 4431, 547, 891, 15737, 16425, 563, 268, 8682, 4149, 16291, 18169, 281, 3509, 3549, 1683, 1582, 28129, 3681, 267, 971, 607, 14174, 17988, 267, 1702, 13279, 267, 543, 2228, 18862, 269, 1452, 2200, 7668, 5561, 547, 1265, 4267, 547, 741, 2055, 10446, 563, 268, 4317, 9012, 8081, 281, 2060, 519, 4473, 540, 1514, 2923, 267, 3549, 723, 3323, 1210, 5867, 899, 12108, 543, 9365, 547, 1683, 6075, 3028, 269, 11426, 619, 666, 3914, 856, 547, 3549, 998, 891, 9055, 267, 543, 3549, 666, 4431, 15597, 610, 27352, 563, 4407, 6075, 3028, 666, 1491, 1585, 3029, 267, 1620, 922, 3498, 538, 1483, 8996, 7653, 666, 581, 11212, 24084, 2287, 269, 1280, 1383, 267, 513, 12370, 6355, 5623, 2013, 1353, 593, 2098, 1952, 657, 8711, 741, 2189, 1935, 547, 6075, 3028, 267, 799, 2882, 16779, 741, 5520, 547, 979, 1657, 543, 3564, 585, 6075, 9547, 267, 3056, 547, 1164, 6075, 14017, 543, 6216, 14223, 563, 20578, 518, 6796, 7454, 13756, 454, 2414, 1683, 11108, 6075, 3028, 267, 3549, 1058, 1246, 891, 1655, 2853, 912, 268, 32653, 15863, 281, 11426, 619, 5660, 2656, 6114, 547, 741, 28780, 269, 14992, 1058, 11441, 547, 4431, 547, 6075, 14511, 543, 4145, 538, 513, 12905, 6073, 267, 11744, 602, 741, 2115, 616, 513, 10862, 563, 268, 27919, 543, 4197, 281, 21436, 3028, 13222, 1058, 1397, 6568, 543, 1620, 4724, 5561, 685, 2042, 610, 9933, 725, 269, 1635, 8380, 2933, 538, 519, 5561, 685, 10887, 267, 13222, 666, 1683, 811, 10531, 543, 4052, 3435, 563, 268, 13068, 9442, 281, 13229, 2792, 568, 2629, 538, 6075, 3028, 269, 24929, 1058, 946, 2312, 543, 13801, 1893, 267, 9319, 3822, 610, 2930, 2474, 602, 5561, 949, 991, 948, 1620, 269, 1358, 1058, 849, 8362, 6432, 547, 5561, 543, 2307, 5587, 4328, 2055, 547, 2327, 789, 4628, 1174, 519, 3390, 563, 268, 9046, 22375, 281, 1763, 6295, 6075, 2152, 1058, 581, 513, 1283, 10862, 269, 14992, 1058, 7668, 741, 6075, 3028, 13222, 547, 1491, 9562, 540, 2042, 543, 1265, 3617, 3435, 269, 901, 949, 4125, 32117, 2152, 547, 2362, 2157, 540, 2359, 610, 5356, 13180, 950, 2556, 563, 268, 23120, 26094, 281, 21436, 3028, 1058, 581, 606, 5571, 1184, 540, 6454, 269, 14992, 1058, 5781, 2445, 6075, 5955, 543, 946, 621, 547, 2697, 2127, 585, 6454, 269, 1635, 7683, 20678, 547, 3986, 6075, 3028, 267, 3549, 666, 3251, 6619, 540, 741, 15712, 543, 1628, 6793, 6075, 3347, 563, 19119, 540, 21436, 6796, 454, 19931, 6075, 3028, 3091, 1896, 2640, 547, 1312, 3549, 543, 5561, 269, 1280, 3549, 267, 621, 666, 1291, 547, 2799, 6075, 14017, 267, 2318, 2262, 6361, 2173, 1926, 267, 543, 10956, 1870, 1496, 29264, 21436, 21733, 9974, 8779, 4940, 898, 849, 2337, 3549, 5531, 3407, 4030, 827, 741, 5561, 685, 2115, 543, 7375, 267, 799, 666, 1217, 1587, 1646, 543, 6725, 2994, 563, 2690, 5561, 267, 1434, 6075, 3028, 5849, 602, 741, 4145, 616, 9619, 16425, 543, 4794, 26476, 1176, 269, 898, 10597, 741, 2949, 1995, 609, 519, 2754, 267, 1818, 873, 811, 2693, 547, 3136, 3257, 1870, 609, 873, 538, 519, 2104, 563, 15650, 540, 21436, 6796, 454, 20578, 518, 3028, 666, 581, 19040, 883 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2528, 729, 8810, 547, 581, 606, 2500, 556, 2130, 1505, 585, 1332, 13050, 267, 855, 538, 513, 6806, 268, 12860, 11058, 30987, 267, 9038, 543, 8951, 616, 2356, 556, 1563, 1209, 958, 538, 13688, 2394, 30553, 269, 901, 1353, 5462, 519, 1198, 540, 18497, 556, 2130, 630, 10135, 264, 543, 5094, 556, 2130, 630, 17876, 264, 593, 5256, 543, 4775, 6755, 30906, 2512, 639, 2156, 617, 18450, 16891, 611, 30553, 269, 901, 1353, 849, 11117, 519, 3310, 540, 519, 556, 2130, 1505, 593, 10285, 2623, 543, 20282, 1967, 269, 634, 2164, 4951, 602, 10911, 4775, 2156, 617, 18450, 1185, 2362, 30553, 3928, 693, 476, 6507, 269, 4281, 13008, 476, 276, 269, 4029, 260, 630, 335, 815, 476, 271, 269, 6187, 272, 264, 543, 513, 10156, 26125, 1974, 693, 476, 277, 269, 10170, 13008, 476, 273, 269, 7918, 260, 982, 22804, 8951, 630, 335, 815, 476, 271, 269, 21076, 1070, 855, 519, 3604, 941, 711, 19250, 1713, 269, 6684, 267, 30553, 3928, 585, 1312, 5256, 2516, 941, 476, 2412, 269, 7830, 13008, 476, 274, 269, 1321, 260, 543, 941, 711, 3648, 1114, 630, 335, 815, 476, 272, 269, 876, 1040, 634, 954, 338, 704, 3901, 2684, 648, 1974, 630, 335, 815, 476, 271, 269, 271, 4510, 1070, 521, 704, 3901, 2684, 648, 2597, 630, 335, 815, 476, 271, 269, 279, 4281, 1070, 1293, 630, 335, 815, 476, 271, 269, 278, 3199, 1070, 23812, 630, 335, 815, 476, 271, 269, 27038, 1070, 543, 2600, 25983, 1275, 630, 335, 815, 476, 271, 269, 27038, 264, 1705, 711, 4268, 1063, 9038, 269, 769, 2474, 540, 519, 1198, 540, 556, 2130, 1505, 593, 10285, 2623, 267, 9038, 689, 519, 22804, 1895, 15748, 811, 29677, 630, 335, 815, 476, 271, 269, 26289, 264, 543, 4339, 609, 824, 9038, 630, 335, 815, 476, 271, 269, 28873, 264, 982, 10911, 9038, 1705, 267, 543, 519, 3604, 941, 1713, 269, 22804, 9038, 849, 20109, 519, 23987, 12387, 339, 630, 335, 815, 476, 271, 269, 15757, 264, 543, 4359, 547, 519, 16785, 2990, 630, 335, 815, 476, 271, 269, 30589, 264, 811, 2053, 982, 10911, 9038, 267, 855, 519, 3604, 941, 711, 1713, 269, 634, 2040, 540, 782, 519, 10285, 5615, 729, 849, 3648, 2362, 538, 519, 22804, 630, 7918, 269, 876, 13008, 476, 272, 269, 736, 264, 982, 538, 519, 10911, 630, 2190, 269, 736, 13008, 476, 271, 269, 10436, 264, 2516, 630, 335, 815, 476, 271, 269, 30203, 1040, 19461, 2164, 4951, 602, 3811, 20282, 538, 519, 22804, 630, 3199, 8472, 729, 2362, 982, 602, 6592, 538, 519, 10911, 1895, 630, 736, 22103, 1452, 4681, 2303, 602, 1395, 846, 343, 556, 2130, 540, 5256, 543, 4775, 623, 269, 2512, 639, 786, 711, 11874, 1860, 16891, 611, 30553, 543, 786, 5512, 3023, 10391, 9422, 6354, 2827, 267, 799, 666, 1256, 7654, 3895, 2362, 20282, 1967, 563, 306, 656, 6387, 5025, 341, 4545, 6511, 267, 590, 1421, 22757, 743, 16619, 267, 670, 1421, 6480, 14397, 4149, 10967, 1470, 267, 661, 1421, 595, 730, 1537, 267, 667, 269, 667, 1421, 1299, 3004, 604, 531, 3258, 267, 681, 269, 674, 269, 630, 1708, 273, 1040, 634, 3310, 540, 1395, 846, 343, 556, 2130, 593, 16891, 611, 30553, 543, 10285, 2623, 540, 4095, 3043, 9299, 1233, 267, 6755, 30906, 2512, 639, 2156, 617, 18450, 563, 288, 638, 20628, 267, 476, 276, 2420, 267, 476, 278, 4343, 27157, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 6200, 277, 10768, 18502, 638, 20628, 269, 1708, 273, 269, 278, 4343, 27157, 454, 268, 4750, 15080, 3097, 4537, 12976, 3688, 1644, 676, 2140, 267, 2278, 267, 17082, 543, 1641, 563, 293, 1069, 514, 267, 14022, 18372, 595, 5919, 670, 4669, 5964, 267, 1323, 545, 807, 1627, 269, 630, 288, 638, 20628, 4972, 267, 14913, 7489, 30656, 4886, 4741, 267, 476, 1220, 272, 264, 1607, 1957, 8039, 519, 3356, 540, 30114, 19895, 543, 32420, 1382, 693, 10323, 28425, 291, 4488, 589, 304, 291, 689, 476, 1960, 276, 547, 476, 1960, 280, 269, 5221, 540, 519, 10296, 991, 585, 6079, 560, 4169, 585, 6006, 532, 267, 1382, 593, 519, 1810, 4486, 521, 1274, 705, 29671, 267, 16199, 3999, 529, 607, 514, 2088, 5059, 593, 4429, 293, 1069, 514, 267, 14022, 18372, 595, 269, 630, 288, 638, 20628, 4972, 267, 14913, 7489, 30656, 4886, 4741, 267, 476, 2735, 279, 264, 19136, 3650, 630, 288, 2077, 747, 628, 903, 8821, 18442, 264, 543, 8988, 630, 29797, 2684, 11209, 332, 747, 628, 903, 544, 7035, 3700, 264, 1286, 1186, 941, 556, 1563, 538, 22253, 267, 23445, 543, 13735, 524, 1137, 538, 20698, 10044, 8235, 2394, 15657, 269, 1975, 2632, 10389, 16891, 611, 531, 30553, 543, 1121, 4405, 566, 540, 15790, 2156, 617, 18450, 4429, 16987, 9323, 593, 519, 13251, 838, 27681, 543, 12586, 1998, 556, 2130, 540, 519, 5144, 8127, 267, 26960, 657, 669, 534, 657, 630, 293, 832, 12921, 531, 264, 538, 476, 3192, 280, 4236, 9222, 267, 808, 269, 966, 5919, 14844, 1204, 611, 267, 631, 5919, 2372, 8181, 1470, 267, 717, 5919, 645, 2335, 334, 267, 808, 269, 630, 288, 638, 20628, 4972, 267, 14913, 7489, 30656, 4886, 4741, 267, 476, 3192, 280, 264, 1607, 1957, 26564, 519, 2164, 540, 519, 6901, 593, 519, 13251, 9960, 543, 12586, 1998, 556, 2130, 540, 5144, 8127, 1282, 519, 476, 3192, 280, 4005, 269, 0, 309, 650, 6162, 538, 22236, 3624, 723, 4362, 513, 4686, 543, 1804, 25487, 12440, 609, 4054, 5176, 1614, 3952, 7381, 538, 519, 4104, 563, 288, 16027, 689, 570, 1263, 932, 784, 6019, 22810, 538, 962, 18365, 534, 19435, 4682, 547, 519, 4104, 547, 1265, 17228, 543, 4362, 513, 5458, 25487, 593, 5239, 476, 2420, 267, 2687, 547, 14662, 6573, 563, 14881, 993, 476, 10037, 1296, 2025, 543, 723, 2760, 2938, 971, 513, 1804, 25487, 2223, 1767, 519, 812, 945, 4362, 519, 17343, 563, 763, 27142, 1572, 621, 519, 968, 6362, 25487, 6100, 634, 25487, 12440, 814, 476, 275, 4054, 267, 22179, 827, 476, 2004, 4846, 267, 519, 32399, 3529, 568, 476, 11463, 269, 274, 4699, 267, 519, 8006, 540, 519, 11058, 568, 476, 2412, 4699, 2647, 267, 865, 519, 27142, 1289, 621, 968, 25279, 11244, 779, 3723, 892, 1547, 6250, 6002, 1166, 18088, 547, 1491, 6337, 543, 1294, 519, 25487, 267, 20872, 873, 547, 1628, 513, 20545, 1472, 519, 25487, 267, 7863, 621, 689, 642, 663, 16117, 563, 312, 836, 11809, 592, 21628, 267, 606, 4274, 689, 519, 4457, 4659, 540, 7233, 7070, 538, 31311, 2719, 267, 1767, 519, 25487, 568, 606, 17580, 25487, 269, 634, 27142, 4126, 602, 621, 786, 581, 6444, 676, 2871, 514, 1145, 2622, 19475, 607, 519, 4102, 25487, 538, 519, 1158, 269, 0, 26589, 609, 824, 4914, 543, 6469, 909, 5142, 902, 267, 519, 3943, 7169, 5280, 2182, 523, 519, 2797, 7941, 538, 519, 2136, 2276, 538, 519, 2038, 476, 9692, 271, 338, 269, 3943, 7169, 281, 634, 3943, 7169, 630, 9965, 280, 1700, 9692, 280, 264, 15748, 513, 6433, 538, 519, 3864, 1158, 543, 9863, 513, 4161, 585, 2038, 1977, 4914, 3609, 563, 8005, 729, 3238, 538, 519, 3943, 7169, 888, 268, 19167, 12844, 777, 27525, 269, 589, 2489, 538, 519, 3943, 7952, 543, 6205, 540, 519, 476, 9692, 280, 19420, 602, 24057, 4319, 519, 30615, 269, 6693, 268, 10496, 13196, 6261, 18824, 5696, 1170, 582, 269, 6693, 268, 8176, 632, 2836, 517, 928, 269, 6693, 268, 32303, 732, 2961, 2254, 269, 6693, 268, 3057, 638, 529, 632, 700, 2378, 599, 8291, 269, 6693, 268, 8402, 2473, 9654, 269, 6693, 268, 21322, 5025, 660, 334, 6839, 974, 269, 6693, 268, 10496, 13196, 3026, 14982, 563, 1432, 729, 519, 4914, 3609, 538, 476, 9692, 271, 338, 888, 18183, 12787, 538, 2342, 1063, 5333, 267, 6628, 267, 543, 8050, 538, 519, 3735, 476, 9692, 271, 338, 267, 8507, 538, 5518, 6723, 6115, 30418, 1977, 29591, 269, 634, 20289, 15521, 609, 6628, 630, 9692, 275, 264, 543, 519, 18237, 1188, 2284, 15521, 609, 8050, 630, 9692, 276, 264, 6322, 693, 8497, 713, 29591, 563, 1692, 1705, 519, 3943, 7169, 1860, 6469, 6214, 888, 763, 3943, 7169, 849, 6766, 772, 2529, 269, 6214, 267, 607, 605, 268, 543, 4550, 268, 21829, 1249, 687, 8179, 547, 3310, 1977, 6469, 543, 4914, 3609, 269, 2560, 1717, 267, 609, 12316, 1689, 849, 3357, 2797, 16132, 267, 5208, 267, 543, 7125, 585, 9097, 1514, 1689, 538, 5333, 602, 19225, 2989, 1082, 4892, 563, 1432, 1826, 540, 2229, 1705, 5333, 723, 1282, 519, 1977, 7169, 888, 288, 13338, 21257, 8719, 519, 6207, 21257, 540, 8402, 2473, 9654, 538, 476, 9692, 272, 267, 543, 538, 476, 9692, 273, 267, 5333, 729, 10294, 513, 14081, 269, 17044, 15698, 267, 519, 1212, 539, 540, 519, 2136, 2276, 267, 8604, 547, 581, 721, 17518, 538, 513, 1007, 5736, 538, 5333, 269, 11569, 267, 519, 1977, 7169, 6039, 607, 606, 6667, 585, 3943, 4838, 2456, 563, 1432, 941, 519, 476, 274, 1292, 3123, 540, 519, 3943, 7169, 888, 7212, 14046, 7521, 5170, 827, 519, 3169, 3123, 540, 519, 7169, 267, 519, 1739, 4128, 616, 4122, 740, 706, 1027, 281, 630, 272, 264, 519, 536, 28123, 12251, 773, 759, 5034, 922, 17181, 689, 2797, 1379, 543, 7158, 540, 22632, 282, 630, 273, 264, 519, 27998, 941, 8650, 569, 3222, 540, 741, 3510, 543, 941, 1447, 543, 1447, 8348, 547, 1489, 519, 6693, 8005, 4465, 3943, 7169, 888, 2005, 3459, 593, 5147, 476, 1691, 267, 476, 9965, 280, 950, 4838, 2456, 7088, 539, 513, 7890, 1572, 519, 645, 770, 4068, 269, 634, 4838, 3357, 547, 606, 1439, 476, 9692, 280, 950, 513, 2489, 3957, 19167, 24057, 4319, 519, 12316, 2229, 543, 3964, 519, 3943, 3117, 3634, 630, 5976, 19167, 607, 6205, 1916, 1432, 5949, 538, 519, 476, 9692, 271, 338, 538, 2342, 888, 21938, 476, 272, 1107, 3943, 21829, 12668, 281, 634, 3943, 3689, 6243, 32141, 2112, 593, 4279, 6628, 267, 519, 10656, 6243, 543, 630, 517, 4728, 476, 278, 264, 8050, 269, 4438, 519, 1032, 267, 519, 2782, 540, 519, 3689, 29663, 568, 8678, 676, 17577, 267, 519, 10513, 4936, 7276, 267, 10878, 1255, 543, 570, 19895, 1415, 538, 11685, 547, 5333, 563, 1692, 1705, 4914, 12602, 1860, 6214, 538, 519, 476, 9692, 271, 338, 888, 7628, 519, 476, 9692, 271, 338, 267, 4914, 12602, 8329, 811, 547, 5935, 7819, 6214, 602, 1705, 6469, 2152, 269, 2560, 519, 12602, 540, 519, 1977, 4838, 12936, 519, 3943, 4838, 267, 865, 602, 1131, 849, 581, 4914, 12602, 563, 12441, 519, 5313, 1235, 723, 4914, 1489, 888, 763, 8549, 1235, 267, 607, 513, 4341, 267, 941, 15156, 540, 513, 2178, 3844, 2229, 269, 2560, 769, 4914, 12602, 519, 8549, 1235, 6462, 519, 3703, 267, 609, 7247, 789, 1185, 2178, 4123, 13218, 267, 543, 10353, 519, 3943, 267, 945, 693, 519, 942, 941, 5996, 6160, 539, 676, 519, 3943, 7169, 563, 3674, 519, 605, 17474, 540, 29591, 4914, 610, 6469, 888, 295, 611, 6115, 711, 3172, 29434, 3585, 4847, 2637, 17845, 339, 28357, 538, 519, 2136, 2276, 267, 646, 3592, 6157, 1131, 723, 5185, 519, 1368, 650, 13534, 538, 8303, 269, 2060, 519, 1160, 17474, 540, 3026, 583, 337, 1275, 267, 5518, 6115, 3964, 513, 772, 2529, 269, 4914, 3609, 540, 29591, 563, 1432, 729, 519, 2078, 1063, 519, 3943, 7169, 543, 1977, 6469, 6214, 538, 519, 476, 9692, 271, 338, 888, 1692, 1705, 4914, 12602, 1860, 6469, 6214, 1282, 519, 476, 9692, 271, 338, 286, 634, 3943, 7169, 8237, 1977, 6644, 269, 25743, 1750, 1229, 621, 607, 513, 11802, 585, 14081, 22675, 282, 8549, 1235, 28715, 621, 607, 1932, 9097, 543, 10795, 563, 1432, 941, 519, 476, 276, 3123, 540, 519, 3943, 7169, 888, 1015, 11683, 15486, 540, 519, 3943, 7169, 454, 268, 1948, 272, 4317, 32389, 538, 5333, 1813, 547, 519, 6480, 919, 3590, 563, 268, 1948, 273, 12525, 645, 6324, 523, 593, 519, 12059, 24529, 563, 268, 1948, 274, 634, 22547, 540, 519, 25816, 613, 12251, 773, 563, 268, 1948, 275, 14313, 2322, 4464, 676, 21654, 15806, 563, 268, 1948, 276, 11038, 19822, 3361, 1813, 547, 8779, 569, 12668, 563, 268, 1948, 277, 667, 2858, 545, 16661, 543, 18648, 4498, 341, 3949, 538, 519, 18631, 1296, 563, 1692, 1705, 5333, 1489, 519, 1977, 7169, 888, 293, 8896, 3177, 519, 2724, 267, 10136, 267, 6186, 3512, 267, 4108, 5718, 267, 543, 17189, 1489, 602, 512, 5792, 519, 3666, 540, 4108, 1379, 538, 3870, 540, 519, 2136, 2276, 543, 21490, 519, 1259, 585, 519, 25550, 8136, 779, 10700, 11802, 267, 799, 729, 20177, 693, 3840, 26165, 267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9223, 281, 715, 1380, 29231, 6811, 602, 547, 1082, 1699, 5683, 28466, 267, 7432, 547, 606, 5683, 1935, 1759, 593, 519, 21644, 568, 4448, 609, 513, 2490, 4724, 912, 288, 269, 7787, 1143, 563, 289, 269, 10686, 6291, 563, 290, 269, 8887, 13659, 563, 291, 269, 2612, 565, 583, 1143, 563, 12585, 281, 595, 0, 454, 304, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 2370, 2895, 24191, 9764, 11909, 12285, 1286, 834, 536, 834, 12285, 2895, 24191, 9764, 2370, 11909, 1286, 834, 15017, 288, 281, 513, 0, 9223, 281, 634, 10569, 547, 8757, 610, 9363, 693, 513, 2635, 2597, 616, 2834, 3635, 543, 1434, 4189, 6208, 269, 1855, 839, 1058, 1205, 476, 2568, 3764, 610, 811, 540, 2168, 2534, 513, 1554, 269, 8074, 519, 2262, 834, 13808, 2668, 1306, 1279, 607, 596, 2811, 3478, 707, 1560, 3001, 267, 621, 3085, 1405, 723, 547, 1611, 3257, 2352, 3635, 610, 2469, 547, 519, 5026, 10689, 1169, 1554, 269, 2353, 602, 6927, 568, 602, 1142, 3018, 596, 1205, 519, 1318, 3666, 540, 2534, 267, 1519, 7098, 984, 923, 476, 2073, 4222, 2679, 267, 543, 8112, 567, 3635, 269, 5269, 3635, 513, 4356, 676, 25786, 930, 942, 1169, 1554, 269, 2201, 2395, 950, 596, 723, 13558, 2259, 610, 606, 7098, 984, 923, 1362, 267, 596, 949, 723, 1100, 8373, 16706, 585, 606, 5662, 610, 811, 269, 1809, 1034, 540, 721, 616, 11112, 267, 543, 476, 2568, 3764, 513, 1554, 585, 3635, 4667, 899, 513, 2603, 540, 942, 269, 634, 1434, 3377, 568, 602, 621, 781, 15528, 547, 7941, 621, 883, 10156, 3635, 9397, 2429, 519, 1554, 269, 3807, 607, 596, 1522, 723, 513, 2635, 15165, 547, 3247, 3054, 689, 3478, 17237, 267, 3635, 16152, 666, 1832, 1648, 2157, 1164, 269, 1924, 1205, 909, 476, 1428, 3764, 2038, 543, 798, 930, 15198, 567, 2534, 269, 12532, 3728, 610, 2196, 7444, 585, 476, 1428, 3764, 1310, 12899, 269, 1684, 519, 1482, 3364, 1310, 1153, 4534, 610, 3802, 610, 11332, 1753, 269, 5410, 547, 602, 2921, 519, 24383, 267, 18027, 1362, 267, 543, 6972, 1063, 5049, 1282, 519, 1554, 267, 543, 596, 4312, 4440, 6603, 707, 476, 2568, 3764, 269, 3371, 616, 2947, 2241, 2081, 547, 1118, 606, 3635, 6197, 1689, 281, 1879, 16706, 267, 519, 1034, 1271, 1249, 568, 567, 9041, 476, 4586, 288, 269, 519, 942, 6170, 593, 3635, 454, 289, 269, 519, 8515, 540, 2534, 454, 290, 269, 519, 7411, 540, 3635, 454, 291, 269, 519, 1318, 3666, 540, 2534, 454, 12585, 281, 667, 0, 9223, 281, 1269, 286, 2755, 519, 476, 1220, 279, 21396, 941, 519, 1101, 547, 581, 13739, 7357, 538, 18074, 267, 519, 476, 1001, 273, 21396, 616, 519, 1101, 547, 13739, 538, 18074, 607, 1134, 607, 476, 274, 291, 269, 1530, 534, 13177, 267, 513, 22557, 17367, 585, 7754, 21319, 910, 8502, 540, 930, 540, 519, 4066, 910, 1767, 621, 3927, 267, 834, 10376, 10632, 267, 689, 513, 2029, 5133, 267, 13290, 547, 723, 513, 1101, 269, 5507, 786, 581, 519, 1101, 18074, 543, 476, 274, 291, 10632, 1701, 634, 3756, 941, 1101, 751, 4582, 2213, 538, 12670, 538, 476, 4350, 277, 543, 5129, 593, 2462, 13819, 827, 519, 2749, 269, 3973, 3357, 519, 1101, 3756, 547, 4283, 10820, 630, 560, 2774, 569, 538, 5507, 602, 568, 264, 538, 476, 3707, 279, 267, 4553, 676, 519, 1101, 18368, 751, 4582, 2213, 3756, 1282, 519, 476, 3422, 271, 21396, 538, 7507, 269, 1656, 2479, 2094, 267, 602, 4743, 540, 9308, 7555, 538, 519, 15624, 543, 8384, 891, 22800, 16311, 1218, 814, 1152, 20335, 20501, 267, 811, 3989, 269, 3767, 267, 789, 811, 12777, 982, 2479, 2965, 14526, 538, 707, 2713, 4055, 269, 9399, 589, 9041, 568, 4843, 607, 519, 5507, 3756, 8661, 1312, 519, 11633, 7169, 630, 320, 21993, 18502, 269, 519, 4332, 540, 5533, 264, 543, 513, 6891, 540, 8149, 2825, 1143, 282, 5507, 786, 581, 519, 1101, 547, 8362, 2268, 922, 1378, 3327, 11640, 1282, 891, 3756, 267, 8888, 513, 30806, 543, 22581, 602, 2759, 25746, 593, 2942, 5434, 950, 693, 782, 2009, 269, 1358, 616, 849, 15246, 585, 513, 1158, 2594, 3842, 519, 834, 297, 320, 767, 514, 2437, 2966, 4481, 547, 1832, 607, 1082, 9688, 12992, 693, 15922, 607, 1480, 569, 2009, 269, 1548, 666, 581, 519, 1655, 2140, 585, 519, 1257, 888, 288, 269, 634, 3778, 540, 16727, 10632, 563, 289, 269, 5565, 3689, 338, 827, 476, 1001, 273, 5507, 21396, 454, 290, 269, 476, 1001, 273, 5507, 21396, 26905, 19889, 4211, 976, 4109, 10632, 454, 291, 269, 476, 1220, 279, 19864, 21396, 543, 476, 1001, 273, 5507, 21396, 454, 12585, 281, 645, 0, 9223, 281, 1733, 846, 1101, 3209, 729, 645, 5844, 15842, 758, 338, 267, 3370, 538, 476, 5002, 272, 888, 12585, 281, 19914, 3780, 632, 328, 0, 763, 1739, 616, 2789, 3903, 2055, 630, 5976, 4267, 264, 827, 1455, 2631, 563, 9223, 281, 1215, 547, 15222, 1125, 519, 5705, 527, 956, 609, 519, 3381, 593, 966, 9448, 2923, 6345, 454, 288, 269, 2755, 513, 3381, 568, 4730, 267, 4945, 13088, 267, 543, 1287, 25397, 14271, 11388, 1436, 269, 7201, 16265, 1856, 25397, 14271, 11388, 1436, 267, 6318, 610, 2539, 519, 1377, 2394, 519, 15222, 1436, 568, 2953, 563, 289, 269, 2755, 513, 3381, 568, 4730, 267, 4945, 13088, 267, 543, 1287, 12186, 543, 8606, 1562, 269, 7201, 16265, 1856, 25397, 14271, 11388, 1436, 267, 6318, 610, 2539, 519, 1377, 2394, 519, 15222, 1436, 568, 2953, 563, 12585, 281, 589, 0, 763, 1739, 616, 2789, 3903, 2055, 630, 5976, 4267, 264, 827, 1455, 2631, 563, 9223, 281, 634, 27177, 540, 938, 1152, 2067, 9682, 781, 2627, 568, 454, 288, 269, 5347, 454, 289, 269, 1500, 540, 10381, 454, 290, 269, 2407, 540, 4154, 454, 291, 269, 29990, 454, 12585, 281, 667, 0, 9223, 281, 8073, 2789, 7738, 986, 7714, 563, 12585, 281, 12338, 513, 23240, 6656, 538, 10945, 269, 0, 454, 9223, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 627, 8636, 1782, 8799, 10538, 4017, 1120, 20199, 17180, 834, 536, 834, 8799, 10538, 4017, 1120, 20199, 627, 8636, 1782, 17180, 834, 15017, 476, 932, 7860, 281, 3097, 288, 269, 513, 454, 289, 269, 536, 454, 12585, 281, 645, 0, 454, 304, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 3109, 1804, 1434, 30645, 2915, 834, 536, 834, 1434, 1804, 3109, 30645, 2915, 834, 15017, 288, 281, 536 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 630, 842, 264, 31185, 263, 549, 1091, 267, 476, 271, 267, 476, 4335, 271, 11850, 825, 7684, 692, 825, 4357, 703, 31185, 17301, 26514, 22203, 267, 703, 1775, 267, 703, 521, 264, 13634, 1038, 952, 630, 328, 2652, 22203, 32324, 264, 13634, 2018, 2132, 521, 2652, 476, 4335, 271, 7790, 476, 271, 2433, 715, 2562, 293, 3248, 1038, 7684, 3116, 952, 630, 332, 655, 334, 5157, 6012, 338, 316, 11203, 14275, 264, 13634, 2018, 2132, 1509, 334, 5157, 6012, 338, 30092, 1038, 7684, 3116, 13634, 2018, 703, 20735, 815, 31185, 263, 549, 1091, 267, 1775, 1341, 476, 272, 267, 521, 11850, 2018, 20735, 815, 4569, 27982, 263, 753, 267, 31185, 263, 549, 1091, 267, 1775, 1341, 476, 272, 267, 521, 910, 22203, 5157, 316, 4297, 3248, 2018, 20735, 815, 4569, 27982, 263, 753, 267, 22203, 5157, 316, 1341, 31185, 263, 549, 1091, 267, 1775, 1341, 476, 272, 267, 521, 1341, 22203, 5157, 316, 4297, 3248, 2018, 1509, 334, 5157, 6012, 338, 316, 815, 20735, 3248, 2018, 2132, 20735, 3248, 1038, 7684, 454, 825, 7684, 454, 10926, 258, 901, 568, 513, 5679, 2355, 871, 1966, 563, 258, 31185, 5157, 6012, 329, 316, 4564, 2436, 519, 2040, 540, 1101, 1775, 2338, 666, 581, 795, 910, 476, 4335, 271, 269, 31185, 314, 271, 6012, 4335, 271, 316, 815, 3020, 563, 258, 3973, 31185, 5157, 1341, 476, 272, 6012, 329, 316, 815, 31185, 5157, 6012, 329, 910, 22203, 5157, 14963, 1923, 31185, 5157, 6012, 329, 1341, 22203, 5157, 14963, 1923, 31185, 5157, 6012, 329, 14073, 258, 3193, 5157, 6012, 329, 316, 4564, 519, 4102, 2040, 540, 782, 2318, 2338, 950, 519, 2040, 540, 1101, 1775, 2338, 568, 795, 910, 476, 4335, 271, 563, 16482, 258, 5384, 6988, 281, 744, 18217, 265, 8999, 994, 258, 623, 2529, 269, 901, 3070, 666, 581, 20979, 547, 744, 4433, 636, 264, 2230, 543, 946, 3193, 5044, 1152, 563, 692, 258, 476, 8064, 916, 476, 5780, 269, 6858, 14999, 5035, 8827, 13634, 825, 1857, 703, 32399, 289, 650, 4580, 17301, 26514, 22203, 264, 13634, 1038, 703, 562, 815, 22203, 32324, 3248, 1038, 1630, 18978, 314, 6012, 316, 31185, 815, 1007, 1630, 18978, 19559, 1341, 476, 272, 6012, 1911, 4905, 30092, 1038, 703, 314, 6012, 316, 3193, 815, 1007, 703, 19559, 1341, 476, 272, 6012, 1911, 4905, 30092, 1038, 31185, 314, 271, 6012, 4335, 271, 316, 815, 3020, 3248, 1038, 585, 630, 842, 1775, 815, 476, 271, 282, 1775, 2999, 562, 282, 1775, 10030, 264, 13634, 2018, 585, 630, 842, 795, 815, 476, 271, 282, 795, 10922, 476, 1911, 876, 282, 795, 10030, 264, 13634, 3546, 952, 630, 329, 910, 22203, 5157, 316, 13843, 476, 271, 30974, 31185, 5157, 6012, 329, 910, 22203, 5157, 316, 8079, 13634, 7386, 31185, 5157, 1341, 476, 272, 6012, 329, 316, 815, 3020, 3248, 7386, 3193, 5157, 1341, 476, 272, 6012, 329, 316, 815, 4569, 27982, 32384, 5157, 1341, 476, 272, 6012, 329, 3910, 3193, 5157, 6012, 329, 910, 22203, 5157, 14963, 1341, 22203, 5157, 8079, 3248, 3546, 7684, 454, 3546, 952, 630, 329, 1341, 22203, 5157, 316, 10922, 476, 1911, 876, 30974, 31185, 5157, 6012, 329, 1341, 22203, 5157, 316, 8079, 13634, 7386, 31185, 5157, 1341, 476, 272, 6012, 329, 316, 815, 3020, 3248, 7386, 3193, 5157, 1341, 476, 272, 6012, 329, 316, 815, 4569, 27982, 32384, 5157, 1341, 476, 272, 6012, 329, 3910, 3193, 5157, 6012, 329, 1341, 22203, 5157, 316, 8079, 3248, 3546, 7684, 454, 3546, 952, 630, 31389, 5157, 6012, 329, 8079, 13634, 7386, 31185, 5157, 1341, 476, 272, 6012, 329, 316, 815, 3020, 3248, 7386, 3193, 5157, 1341, 476, 272, 6012, 329, 316, 815, 4569, 27982, 32384, 5157, 1341, 476, 272, 6012, 329, 3910, 3193, 5157, 6012, 329, 8079, 3248, 3546, 7684, 454, 2018, 7684, 454, 1038, 7684, 454, 1038, 2132, 3193, 19559, 6012, 4335, 271, 30092, 825, 7684, 454, 10926, 7343, 25209, 476, 273, 281, 20821, 538, 519, 5664, 454, 4467, 14658, 640, 5811, 454, 11742, 29203, 281, 744, 263, 274, 317, 301, 270, 273, 1070, 1141, 715, 568, 519, 3259, 540, 22203, 563, 22129, 29203, 281, 744, 263, 274, 317, 301, 270, 273, 6393, 258, 476, 20385, 916, 476, 271, 14999, 5814, 28162, 269, 1177, 339, 10422, 2002, 3248, 5035, 8827, 13634, 825, 1857, 703, 32399, 289, 650, 4580, 17301, 26514, 22203, 264, 13634, 1038, 703, 715, 815, 22203, 32324, 3248, 1038, 10934, 283, 18204, 518, 267, 6715, 518, 285, 700, 23169, 815, 1118, 263, 6635, 7590, 6983, 4878, 8170, 305, 1052, 263, 549, 1091, 267, 476, 271, 267, 715, 270, 273, 4297, 3248, 1038, 10934, 283, 18204, 518, 267, 6715, 518, 285, 681, 23169, 815, 1118, 263, 6635, 7590, 6983, 4878, 8170, 305, 1052, 263, 549, 1091, 267, 715, 270, 273, 267, 715, 4297, 3248, 1038, 703, 20735, 815, 476, 271, 3248, 1038, 585, 630, 842, 546, 281, 700, 23169, 269, 4486, 13729, 28829, 13634, 2018, 952, 630, 305, 23169, 26769, 13935, 7659, 8987, 323, 4917, 3546, 20735, 815, 4569, 27982, 263, 753, 267, 700, 23169, 10947, 5560, 264, 1341, 681, 23169, 10947, 8987, 323, 4297, 3248, 1038, 7684, 454, 1038, 2132, 20735, 3248, 825, 7684, 692, 825, 4357, 10934, 283, 18204, 518, 267, 6715, 518, 285, 1118, 17301, 26514, 589, 264, 13634, 1038, 8672, 26514, 31185, 815, 1007, 8672, 314, 7785, 876, 30092, 1038, 703, 512, 815, 476, 271, 3248, 1038, 31185, 314, 339, 10030, 316, 815, 1007, 8672, 263, 271, 267, 476, 271, 11850, 1038, 585, 630, 842, 642, 2433, 589, 264, 13634, 2018, 703, 3247, 815, 512, 3248, 2018, 585, 630, 842, 1775, 815, 476, 271, 282, 1775, 2999, 3247, 282, 1341, 266, 328, 264, 13634, 3546, 8672, 533, 815, 31185, 5157, 30092, 3546, 31185, 314, 339, 10030, 316, 815, 1007, 8672, 9638, 11859, 1341, 642, 267, 533, 13885, 11850, 3546, 31185, 314, 339, 10030, 316, 815, 1007, 8672, 9638, 11859, 267, 533, 13885, 1341, 642, 11850, 2018, 7684, 454, 1038, 7684, 692, 1038, 10934, 283, 18204, 518, 267, 6715, 518, 285, 20735, 815, 1007, 25300, 24961, 3890, 3248, 1038, 585, 630, 842, 1775, 815, 476, 271, 282, 1775, 2999, 512, 282, 1775, 10030, 264, 13634, 2018, 703, 513, 815, 31185, 5157, 4940, 343, 3248, 2018, 703, 536, 815, 31185, 5157, 4940, 344, 3248, 2018, 20735, 269, 1584, 5416, 910, 536, 267, 4569, 27982, 263, 753, 10947, 7775, 9377, 5435, 5416, 910, 536, 267, 476, 271, 1070, 513, 4297, 3248, 1038, 7684, 454, 1038, 2132, 20735, 3248, 825, 7684, 454, 10926, 18257, 0, 1029, 25899, 1029, 815, 1412, 10059, 2517, 548, 564, 13892, 2593, 24579, 21793, 4882, 332, 718, 652, 3146, 551, 4120, 10276, 743, 3151, 15918, 871, 1790, 1460, 1564, 270, 7055, 258, 5384, 281, 476, 744, 9852, 1279, 562, 1341, 562, 2845, 544, 264, 544, 543, 562, 333, 616, 519, 4463, 543, 8700, 540, 519, 3239, 454, 258, 6611, 281, 744, 263, 272, 994, 16482, 258, 13517, 281, 2274, 564, 13892, 1948, 476, 23714, 269, 9540, 652, 25351, 4120, 2037, 743, 3151, 4563, 623, 1460, 1564, 454, 16482, 258, 1323, 3239, 568, 6719, 676, 513, 9352, 5119, 609, 476, 271, 607, 513, 3043, 18920, 543, 476, 272, 607, 513, 3109, 18920, 563, 258, 634, 3109, 19641, 616, 4448, 267, 1775, 4318, 1421, 972, 568, 1152, 835, 3109, 3148, 563, 258, 623, 1460, 1564, 616, 4448, 23276, 543, 19794, 563, 258, 9717, 519, 4087, 630, 343, 267, 586, 264, 540, 835, 540, 519, 3109, 19641, 2676, 258, 2132, 519, 1858, 540, 519, 10545, 630, 9471, 268, 7955, 539, 264, 13551, 602, 11700, 4680, 782, 3109, 19641, 563, 16482, 258, 1280, 1383, 267, 2016, 519, 1739, 3239, 912, 16482, 258, 1496, 454, 258, 567, 834, 9826, 271, 20350, 258, 567, 834, 18733, 271, 20350, 258, 567, 834, 18089, 271, 4840, 258, 23378, 16482, 258, 543, 1535, 815, 476, 271, 267, 586, 815, 476, 273, 2676, 258, 17776, 476, 277, 563, 16482, 258, 14992, 454, 258, 5616, 454, 258, 13565, 11762, 454, 258, 23030, 9612, 454, 16482, 5814, 621, 1068, 8962, 454, 5814, 1770, 11687, 454, 258, 5384, 281, 476, 744, 3799, 331, 1758, 994, 258, 6611, 281, 744, 263, 272, 994, 5035, 8827, 24998, 2187, 825, 1219, 1295, 22704, 4311, 267, 3239, 267, 1535, 267, 586, 2187, 1038, 8173, 1038, 2433, 6943, 3239, 281, 5903, 314, 8266, 314, 1598, 27663, 1038, 2433, 6943, 1535, 281, 703, 454, 1038, 2433, 6943, 586, 281, 703, 454, 1038, 2433, 337, 6943, 281, 703, 454, 1038, 8173, 1038, 1219, 9352, 15507, 263, 3847, 267, 1318, 267, 1265, 267, 3239, 267, 814, 318, 821, 2187, 2018, 1247, 2451, 10922, 1318, 281, 476, 1948, 744, 10857, 1758, 264, 2053, 454, 3546, 4571, 815, 2451, 1341, 630, 2431, 910, 2451, 264, 1315, 476, 273, 454, 3546, 952, 1265, 263, 13548, 267, 814, 318, 821, 267, 4571, 2567, 476, 1948, 5384, 281, 744, 3799, 994, 7386, 1318, 815, 4571, 910, 476, 272, 454, 3546, 3116, 912, 7386, 2451, 815, 4571, 1341, 476, 272, 454, 2018, 2132, 2451, 692, 1038, 3406, 8624, 8435, 815, 25754, 3239, 267, 814, 318, 821, 267, 4571, 281, 1022, 8443, 842, 21405, 314, 13232, 8079, 585, 4737, 538, 3239, 8079, 2652, 814, 318, 821, 454, 1038, 2451, 815, 9352, 15507, 263, 271, 267, 586, 910, 476, 272, 267, 3406, 8624, 8435, 267, 3239, 267, 6936, 994, 1038, 1318, 815, 9352, 15507, 12169, 1341, 476, 272, 267, 7003, 263, 13548, 314, 271, 8079, 910, 476, 272, 267, 3406, 8624, 8435, 267, 3239, 267, 8771, 2020, 1038, 3406, 305, 3298, 815, 25754, 3239, 267, 814, 318, 821, 267, 4571, 281, 1022, 263, 527, 1068, 8962, 269, 574, 777, 17301, 267, 3239, 314, 13232, 316, 4297, 2652, 814, 318, 821, 454, 1038, 1283, 815, 9352, 15507, 263, 271, 267, 1535, 910, 476, 272, 267, 3406, 305, 3298, 267, 3239, 267, 6936, 994, 1038, 5377, 815, 9352, 15507, 3287, 1341, 476, 272, 267, 7003, 263, 13548, 264, 910, 476, 272, 267, 3406, 305, 3298, 267, 3239, 267, 8771, 2020, 1038, 2132, 630, 2431, 910, 2451, 264, 2608, 630, 321, 18847, 910, 1283, 2020, 5035, 4530, 32325, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 26222, 4311, 2187, 1038, 1582, 27863, 263, 272, 267, 476, 272, 2020, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1770, 11687, 6230, 664, 10797, 297, 6072, 815, 23288, 258, 23539, 281, 4179, 2517, 548, 564, 13892, 2593, 24579, 21793, 4882, 332, 718, 652, 3146, 551, 4120, 10276, 743, 3151, 15918, 871, 1790, 1460, 1564, 4882, 1828, 13045, 258, 13979, 1948, 274, 630, 289, 2435, 9612, 264, 1496, 10907, 1061, 539, 2639, 16482, 258, 476, 279, 916, 476, 6321, 269, 6187, 14999, 5035, 8827, 13634, 825, 1857, 703, 1295, 22704, 263, 10420, 314, 6012, 316, 3239, 267, 703, 1535, 267, 703, 586, 264, 13634, 1038, 703, 544, 815, 3239, 32324, 267, 562, 815, 3239, 314, 271, 4940, 26319, 3248, 1038, 703, 2451, 815, 3406, 8624, 8435, 263, 13548, 267, 476, 271, 267, 586, 267, 476, 271, 267, 544, 267, 3020, 11850, 1038, 703, 1318, 815, 3406, 8624, 8435, 263, 13548, 267, 586, 1341, 476, 272, 267, 562, 267, 476, 271, 267, 544, 267, 7301, 11850, 1038, 703, 1283, 815, 3406, 305, 3298, 263, 13548, 267, 476, 271, 267, 1535, 267, 2451, 267, 1318, 267, 3020, 11850, 1038, 703, 5377, 815, 3406, 305, 3298, 263, 13548, 267, 1535, 1341, 476, 272, 267, 544, 267, 2451, 267, 1318, 267, 7301, 11850, 1038, 2132, 630, 2431, 910, 2451, 264, 2608, 630, 321, 18847, 910, 1283, 11850, 825, 7684, 454, 825, 4357, 703, 3406, 8624, 8435, 263, 10420, 314, 6012, 316, 3239, 267, 703, 1775, 267, 703, 795, 267, 703, 1283, 267, 703, 5377, 267, 1630, 18978, 3043, 2414, 14937, 264, 13634, 1038, 1247, 630, 328, 11203, 795, 264, 13634, 2018, 703, 737, 815, 1283, 267, 4571, 815, 630, 328, 1341, 795, 264, 1315, 476, 273, 3248, 2018, 1247, 630, 330, 2999, 5377, 30974, 3239, 25208, 6012, 13232, 316, 2652, 1412, 271, 10807, 1341, 266, 330, 3248, 2018, 952, 630, 330, 2999, 5377, 2652, 3043, 2414, 14937, 264, 12262, 737, 2999, 5377, 1797, 519, 6241, 4571, 814, 3109, 18920, 454, 3546, 795, 815, 4571, 282, 12262, 14142, 519, 10465, 538, 519, 4130, 3368, 454, 2018, 3116, 454, 3546, 1775, 815, 4571, 1341, 476, 272, 282, 12262, 14142, 519, 10465, 538, 519, 3152, 3368, 454, 1038, 7684, 454, 1038, 2132, 1775, 3248, 825, 7684, 454, 825, 4357, 703, 3406, 305, 3298, 263, 10420, 314, 6012, 316, 3239, 267, 703, 1775, 267, 703, 795, 267, 703, 2451 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 20645, 1169, 1554, 269, 3367, 811, 827, 476, 276, 3766, 718, 517, 1216, 19065, 510, 16123, 510, 16123, 510, 16123, 510, 269, 24269, 596, 1616, 547, 5173, 513, 20645, 540, 1216, 547, 6718, 519, 1655, 1657, 2666, 7535, 267, 596, 1058, 917, 713, 4542, 780, 296, 6557, 24584, 602, 2048, 9926, 685, 568, 519, 19432, 585, 2048, 8784, 8730, 799, 568, 513, 1770, 540, 2527, 630, 9188, 3145, 519, 1249, 602, 538, 2482, 2006, 779, 13345, 267, 513, 1770, 540, 2597, 1040, 9282, 513, 20645, 568, 513, 1770, 540, 4320, 267, 676, 543, 1804, 8246, 585, 12862, 269, 769, 899, 6073, 267, 649, 1131, 991, 547, 917, 519, 11098, 540, 519, 6219, 1354, 649, 1223, 4431, 547, 519, 14374, 780, 15430, 1836, 267, 538, 519, 2680, 602, 596, 1185, 8246, 2048, 4148, 12063, 8730, 2048, 4148, 269, 12063, 685, 610, 2048, 9926, 269, 1166, 269, 8730, 596, 1131, 267, 15069, 267, 723, 1044, 9001, 513, 7873, 14819, 585, 5277, 13728, 267, 799, 568, 513, 8167, 540, 4320, 269, 594, 6557, 16561, 602, 596, 22466, 5277, 13728, 780, 2171, 2965, 723, 606, 3390, 269, 1548, 8847, 1131, 649, 2161, 649, 616, 9001, 585, 17529, 543, 5277, 13728, 2496, 288, 10424, 20645, 3568, 476, 279, 10424, 533, 6493, 267, 1169, 835, 540, 476, 736, 18678, 5277, 13728, 282, 9935, 267, 972, 616, 476, 8182, 23836, 5277, 13728, 538, 513, 10424, 20645, 692, 1692, 1082, 13728, 538, 513, 20645, 540, 1216, 780, 763, 3070, 547, 707, 14374, 540, 519, 1297, 540, 13728, 630, 9926, 264, 972, 616, 538, 513, 20645, 540, 1216, 12346, 2390, 1141, 593, 519, 4541, 596, 616, 269, 634, 2475, 5714, 20645, 3067, 5809, 1447, 630, 274, 269, 4281, 276, 20990, 264, 982, 519, 5177, 23836, 20645, 630, 275, 269, 276, 5379, 20990, 1040, 1411, 11129, 547, 27229, 13105, 713, 693, 519, 1283, 540, 519, 10862, 1592, 950, 14719, 908, 4948, 1216, 16075, 593, 519, 12406, 602, 972, 779, 513, 2101, 11984, 1063, 519, 1079, 630, 9767, 1223, 581, 6704, 476, 274, 270, 275, 540, 513, 2148, 811, 1216, 538, 519, 2680, 602, 596, 8415, 519, 5177, 10424, 20645, 7004, 1040, 769, 519, 2680, 602, 596, 991, 519, 7004, 538, 11680, 267, 14626, 1211, 958, 267, 798, 8495, 713, 2022, 593, 17529, 543, 11680, 780, 2691, 4657, 936, 547, 13728, 630, 331, 18612, 13728, 1070, 596, 723, 547, 22036, 607, 513, 3119, 6161, 602, 519, 2475, 5277, 26412, 12238, 2471, 811, 982, 519, 5177, 23836, 5277, 26412, 269, 634, 2475, 5277, 26412, 9193, 476, 3066, 269, 6872, 274, 276, 332, 299, 269, 1635, 9756, 267, 519, 5177, 630, 332, 1690, 4382, 264, 5277, 26412, 9193, 476, 2764, 269, 31979, 272, 332, 299, 269, 1677, 948, 596, 267, 594, 4076, 11368, 519, 1079, 2242, 540, 17529, 547, 13728, 9944, 780, 1892, 476, 272, 11829, 517, 630, 4785, 267, 29079, 264, 815, 476, 12553, 744, 684, 806, 630, 4785, 267, 29079, 2020, 1892, 476, 272, 11829, 517, 630, 20084, 267, 29079, 264, 815, 476, 8182, 744, 684, 806, 630, 20084, 267, 29079, 692, 296, 4076, 3769, 1079, 7515, 540, 14759, 547, 4217, 596, 609, 6544, 1516, 519, 1297, 540, 5277, 13728, 972, 616, 538, 513, 20645, 910, 835, 9001, 519, 2475, 543, 835, 9001, 5177, 3934, 725, 269, 1280, 4657, 513, 1880, 1297, 540, 17529, 936, 547, 13728, 780, 2467, 616, 476, 12553, 13728, 547, 519, 2475, 20645, 269, 594, 786, 3398, 602, 513, 476, 1626, 269, 280, 268, 8784, 795, 1872, 540, 1216, 568, 1018, 596, 616, 3478, 930, 1344, 827, 267, 1018, 1297, 540, 798, 596, 723, 547, 1118, 513, 20645, 286, 476, 12553, 270, 1626, 269, 280, 815, 476, 278, 269, 6872, 267, 865, 596, 991, 538, 1022, 2680, 476, 279, 19065, 510, 16123, 510, 16123, 510, 16123, 510, 547, 723, 2614, 547, 6445, 513, 20645, 780, 7712, 972, 616, 476, 279, 5277, 13728, 538, 513, 7484, 267, 596, 1058, 4235, 5216, 11680, 540, 1216, 1142, 1554, 269, 4107, 7006, 839, 762, 1216, 14569, 568, 1472, 476, 1626, 744, 684, 806, 267, 865, 602, 1131, 1611, 596, 1058, 4235, 1614, 547, 2185, 14569, 540, 1216, 1169, 1554, 780, 8253, 5976, 9227, 267, 1082, 3398, 602, 2178, 8728, 585, 8171, 666, 581, 20335, 676, 9750, 741, 1216, 16075, 547, 513, 2407, 20645, 630, 274, 269, 279, 20990, 264, 1169, 1554, 780, 1607, 2376, 27180, 519, 2949, 10372, 540, 1216, 13345, 543, 267, 9935, 267, 519, 1761, 5383, 543, 2164, 540, 6704, 513, 20645, 540, 1216, 585, 1169, 1554, 780, 28646, 8710, 5944, 267, 609, 2463, 547, 519, 5662, 540, 707, 1560, 568, 1216, 630, 272, 6393, 7804, 9722, 2614, 1216, 17648, 513, 2565, 851, 540, 5329, 707, 1560, 3280, 543, 2324, 14013, 780, 2690, 3236, 267, 1216, 568, 2626, 762, 585, 9013, 922, 2837, 267, 11288, 9360, 267, 543, 3334, 547, 922, 2281, 267, 543, 17516, 1713, 8219, 543, 8031, 630, 273, 267, 476, 274, 267, 476, 275, 6393, 13010, 267, 1216, 568, 2877, 585, 519, 11166, 540, 519, 2427, 13716, 267, 519, 31294, 540, 519, 10549, 267, 543, 547, 1832, 519, 3750, 267, 5023, 267, 543, 9224, 8031, 4396, 543, 14927, 630, 273, 267, 476, 276, 6393, 29012, 267, 513, 1804, 6712, 540, 519, 1713, 10850, 538, 707, 1560, 5673, 593, 1216, 547, 960, 14013, 780, 11073, 1467, 4826, 568, 1898, 585, 1713, 19206, 267, 585, 1383, 267, 519, 5385, 5057, 547, 707, 2281, 543, 519, 23988, 2837, 780, 763, 1216, 3666, 568, 11358, 585, 519, 8171, 543, 16048, 2324, 540, 707, 1560, 269, 3816, 8724, 19872, 568, 2629, 267, 20866, 267, 519, 30901, 2115, 606, 11212, 13737, 15636, 1479, 2268, 267, 538, 713, 1259, 267, 2147, 18747, 666, 711, 581, 4294, 547, 16764, 780, 2690, 3236, 267, 519, 4110, 540, 2962, 267, 519, 2450, 540, 519, 1560, 267, 543, 519, 6073, 676, 799, 4009, 4418, 1846, 17297, 4733, 2268, 782, 519, 3334, 602, 1764, 707, 1216, 4170, 543, 707, 30901, 780, 7312, 1560, 12034, 1310, 621, 814, 20335, 12015, 856, 269, 1879, 707, 1216, 1543, 20214, 267, 707, 1560, 6645, 707, 2247, 2899, 543, 519, 726, 550, 3814, 1505, 547, 4235, 267, 513, 4480, 1572, 19818, 780, 2690, 513, 1390, 1082, 1004, 267, 6704, 1310, 789, 1745, 1612, 3481, 543, 3247, 2899, 741, 19818, 814, 1044, 24773, 1639, 1223, 581, 513, 4096, 762, 1505, 547, 1832, 909, 606, 3617, 30901, 630, 277, 267, 476, 278, 6393, 29128, 1631, 267, 972, 568, 513, 3520, 16781, 3585, 16876, 6514, 547, 1289, 3007, 547, 602, 6704, 513, 1390, 4308, 540, 707, 30901, 2115, 547, 2087, 707, 8171, 630, 279, 267, 476, 280, 6393, 7712, 972, 568, 606, 9000, 540, 6169, 543, 3875, 3334, 1860, 13737, 30901, 6499, 267, 6704, 513, 20645, 630, 274, 269, 279, 20990, 264, 540, 1216, 1169, 1554, 568, 1034, 2693, 30739, 543, 1863, 267, 4849, 952, 707, 1560, 2115, 602, 726, 550, 3814, 1216, 585, 744, 684, 806, 30901, 780, 1103, 7291, 267, 1247, 6704, 2614, 1216, 543, 5329, 909, 519, 30901, 568, 1898, 267, 972, 568, 513, 11658, 7634, 547, 948, 547, 4235, 2250, 519, 2601, 585, 24773, 5109, 707, 19818, 780, 763, 10372, 585, 1216, 16075, 786, 11385, 622, 607, 8612, 676, 4638, 10066, 267, 2085, 267, 17966, 618, 267, 543, 2534, 1377, 780, 763, 6738, 13522, 692, 7197, 6738, 13522, 18113, 11886, 741, 5277, 29476, 676, 6159, 1324, 741, 22590, 780, 4407, 972, 616, 1100, 1880, 18747, 593, 519, 1297, 540, 14296, 540, 1216, 602, 1034, 6738, 13522, 1058, 4235, 1169, 1554, 267, 519, 4659, 540, 5709, 1149, 630, 296, 6865, 264, 2306, 10372, 585, 782, 13050, 1216, 4616, 780, 296, 6865, 23083, 602, 18374, 782, 1762, 21031, 14183, 741, 6159, 1324, 585, 519, 3919, 2899, 476, 4281, 744, 684, 806, 630, 273, 269, 274, 20990, 264, 540, 1216, 1169, 1554, 267, 585, 1142, 4235, 543, 21649, 267, 1247, 1034, 2367, 14183, 741, 13821, 540, 30901, 2899, 789, 616, 9058, 476, 12208, 13728, 630, 274, 269, 274, 20990, 264, 1169, 1554, 630, 1015, 6393, 2005, 1058, 581, 8068, 602, 2043, 945, 2661, 538, 3905, 4694, 12742, 786, 538, 2489, 1995, 9450, 1086, 17508, 3765, 325, 28232, 543, 786, 1628, 741, 1216, 13345, 547, 2611, 14013, 19872, 269, 8072, 7093, 8971, 1540, 1257, 685, 692, 4785, 28966, 12763, 692, 1626, 2475, 3044, 5277, 13728, 815, 476, 272, 2475, 5277, 476, 1626, 13728, 692, 17798, 476, 3953, 2475, 3044, 5277, 13728, 910, 476, 273, 2475, 5277, 533, 6493, 815, 476, 272, 2475, 5277, 14415, 692, 2026, 513, 2475, 5277, 20645, 815, 476, 275, 2475, 5277, 844, 11301, 692, 305, 5819, 12763, 692, 272, 15875, 623, 842, 815, 476, 736, 15875, 5277, 13728, 692, 272, 15875, 11829, 517, 815, 476, 279, 15875, 623, 6493, 815, 476, 8182, 15875, 5277, 13728, 692, 6635, 9792, 618, 1384, 272, 20645, 540, 1216, 815, 476, 12553, 13728, 692, 26473, 1600, 1384, 18850, 25572, 476, 272, 20645, 540, 1216, 538, 476, 3953, 13728, 3640, 514, 780, 15612, 725, 1384, 12553, 13728, 607, 513, 476, 272, 13268, 532, 2306, 815, 476, 272, 20645, 692, 12553, 270, 273, 284, 5038, 26412, 607, 476, 273, 10296, 1118, 815, 476, 272, 20645, 692, 12553, 270, 275, 284, 3953, 13728, 476, 275, 10296, 1118, 815, 476, 272, 20645, 692, 272, 6145, 692, 1262, 1215, 1082, 13728, 538, 513, 20645, 540, 1216, 888, 763, 3617, 3210, 568, 5393, 3551, 267, 513, 20645, 3568, 476, 12553, 13728, 780, 26589, 891, 3515, 267, 835, 20645, 14380, 547, 476, 1626, 5216, 268, 8784, 14296, 540, 1216, 780, 2304, 26412, 568, 513, 1770, 540, 2527, 630, 9188, 3145, 519, 1249, 602, 519, 3339, 2482, 2006, 18252, 621, 607, 513, 1770, 540, 2597, 2094, 789, 7762, 577, 519, 26412, 27703, 585, 519, 26412, 1040, 1306, 513, 20645, 568, 513, 1770, 540, 4320, 267, 707, 2626, 12346, 2390, 519, 11098, 540, 519, 1216, 267, 799, 30109, 12346, 2390, 519, 2825, 2597, 543, 519, 1216, 2837, 910, 519, 24236, 17114, 540, 7250, 543, 5135, 538, 519, 1216, 630, 1197, 1634, 827, 646, 11998, 1216, 264, 543, 519, 8764, 725, 267, 585, 1383, 267, 30477, 3603, 575, 13293, 543, 1114, 6878, 267, 11338, 723, 606, 1764, 780, 1692, 1082, 13728, 538, 513, 20645, 540, 1216, 2496, 10112, 11167, 713, 568, 519, 2013, 267, 972, 616, 1079, 610, 1614, 1114, 1919, 649, 723, 547, 4137, 856, 1384, 1432, 20645, 798, 596, 1611, 286, 2353, 1919, 1373, 3160, 267, 594, 666, 2015, 1614, 910, 594, 9327, 1406, 530, 4526, 602, 789, 616, 519, 1292, 3283, 269, 1703, 779, 519, 15875, 20645, 267, 519, 2475, 5714, 20645, 543, 519, 2475, 3819, 20645, 780, 1432, 5277, 26412, 798, 596, 1611, 286, 4495, 811, 267, 594, 666, 2015, 1614, 910, 2899, 811, 267, 594, 9327, 1406, 530, 4526, 602, 789, 616, 519, 1292, 3283, 269, 1703, 779, 519, 15875, 5277, 26412, 267, 519, 2475, 3044, 5277, 26412, 267, 543, 519, 2475, 1426, 20803, 5277, 26412, 780, 4407, 519, 2475, 3819, 20645, 666, 581, 9674, 883, 844, 11301, 543, 533, 6493, 267, 621, 3085, 1406, 2408, 547, 581, 15652, 539, 883, 3819, 13728, 267, 865, 649, 1058, 26777, 713, 835, 269, 3958, 267, 594, 1810, 1406, 1745, 602, 1426, 16287, 533, 6493, 267, 844, 11301, 543, 17529, 2291, 269, 901, 3762, 721, 609, 2185, 8925, 780, 2026, 513, 2339, 540, 1249, 267, 621, 1131, 581, 5963, 11389, 32208, 547, 11282, 2475, 5277, 13728, 609, 15875, 17529, 610, 15875, 5277, 13728, 609, 2475, 5714, 17529, 267, 865, 649, 991, 1175, 1589, 827, 1079, 2665, 1384, 4785, 28966, 12763, 692, 1626, 2475, 3044, 5277, 13728, 815, 476, 272, 2475, 5277, 476, 1626, 13728, 692, 26589, 891, 3515, 476, 3953, 2475, 3044, 5277, 13728, 910, 476, 273, 2475, 5277, 533, 6493, 815, 476, 272, 2475, 5277, 14415, 692, 2026, 513, 2475, 5277, 20645, 815, 476, 275, 2475, 5277, 844, 11301, 692, 306, 1575, 3153, 12763, 692, 272, 15875, 623, 842, 815, 476, 736, 15875, 5277, 13728, 692, 272, 15875, 11829, 517, 815, 476, 279, 15875, 623, 6493, 815, 476, 8182, 15875, 5277, 13728, 692, 8182, 15652, 539, 676, 476, 3953, 5973, 757, 476, 276, 692, 6343, 1297, 540, 13728, 538, 513, 3368, 3766, 718, 517, 540, 1216, 2496, 763, 1697, 543, 17386, 2626, 568, 282, 972, 568, 476, 5038, 1166, 12063, 1524, 519, 1647, 513, 20645, 269, 3371, 596, 1058, 11291, 602, 13728, 666, 581, 2854, 538, 922, 2110, 2497, 968, 9926, 892, 543, 519, 5714, 13728, 616, 705, 27554, 607, 968, 4148, 12063, 14325, 9827, 267, 1577, 721, 2268, 11680, 538, 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 ]
[ 2312, 5075, 540, 519, 2754, 779, 3527, 543, 519, 2115, 540, 21804, 3034, 274, 269, 20985, 2825, 2359, 693, 29761, 23076, 454, 1103, 476, 1001, 279, 267, 521, 4486, 525, 543, 29761, 23076, 7577, 9896, 513, 5698, 6876, 609, 29761, 5794, 6050, 267, 570, 21397, 8038, 543, 667, 30045, 18124, 585, 519, 8876, 856, 540, 4745, 7341, 6322, 693, 2417, 4227, 519, 2825, 1764, 540, 18229, 2238, 269, 9167, 4629, 25321, 307, 4629, 299, 543, 589, 5746, 2342, 267, 513, 3318, 7681, 540, 19633, 12427, 267, 1489, 713, 20985, 7025, 5004, 630, 4753, 300, 264, 11036, 693, 29761, 23076, 563, 1103, 476, 1001, 280, 267, 713, 2324, 1895, 13087, 6405, 10512, 9283, 547, 2569, 2910, 273, 5434, 543, 6846, 1472, 29761, 23076, 563, 16676, 6681, 1784, 757, 610, 3039, 2244, 902, 593, 9682, 4485, 723, 1044, 3648, 4824, 676, 4227, 1648, 25673, 588, 3042, 2244, 902, 563, 1103, 5698, 609, 519, 2011, 6050, 2073, 29761, 23076, 814, 3370, 513, 1007, 3296, 538, 519, 3642, 303, 547, 3895, 519, 946, 540, 513, 2582, 2599, 1282, 3454, 328, 532, 563, 288, 1007, 1858, 585, 2599, 4255, 568, 849, 1373, 6594, 609, 519, 2832, 540, 4227, 6846, 5533, 563, 4322, 11401, 849, 19658, 519, 4687, 543, 5385, 540, 1655, 2853, 538, 2474, 540, 4227, 4492, 4616, 1851, 519, 1585, 5716, 563, 275, 269, 19928, 5024, 547, 519, 1646, 540, 2842, 1648, 454, 338, 4486, 525, 3523, 919, 609, 519, 2842, 1648, 5823, 543, 3091, 922, 6791, 547, 9367, 547, 2327, 602, 519, 18434, 616, 8704, 1510, 7679, 1359, 609, 2011, 6808, 543, 267, 3226, 267, 2011, 3106, 563, 13388, 18434, 3742, 538, 19934, 454, 2908, 3156, 585, 10479, 547, 3888, 2842, 18434, 11643, 547, 521, 4486, 525, 538, 476, 1001, 280, 454, 1952, 997, 725, 723, 2907, 1044, 9516, 269, 634, 824, 3156, 616, 538, 519, 1184, 540, 1373, 8947, 610, 2154, 3606, 1344, 630, 4792, 1070, 941, 15189, 585, 3106, 4128, 630, 2918, 1070, 610, 941, 32585, 676, 519, 32358, 630, 2918, 994, 289, 2969, 290, 269, 2041, 267, 513, 6325, 543, 1483, 6066, 2707, 540, 1344, 585, 2199, 7264, 454, 338, 4486, 525, 543, 29761, 23076, 7577, 723, 2919, 513, 1007, 4528, 540, 519, 1344, 3896, 645, 2969, 290, 269, 2041, 630, 289, 6350, 17632, 23076, 29853, 6513, 1040, 4595, 519, 1439, 540, 476, 1001, 279, 267, 7264, 666, 946, 519, 3896, 547, 2070, 1483, 6066, 4143, 1344, 11341, 547, 519, 946, 540, 2196, 1811, 267, 4365, 7422, 543, 23004, 267, 16986, 8184, 13475, 267, 6846, 7403, 543, 3875, 7194, 563, 7628, 476, 1001, 280, 267, 521, 4486, 525, 543, 29761, 23076, 7577, 630, 289, 3722, 264, 5059, 593, 519, 6617, 543, 10727, 540, 519, 1007, 4528, 540, 519, 645, 2969, 290, 269, 2041, 3896, 269, 4595, 513, 2603, 540, 1483, 6066, 1239, 568, 2366, 547, 519, 3896, 267, 513, 5464, 1062, 814, 1044, 8704, 547, 3713, 1022, 2042, 538, 519, 1239, 8928, 543, 8207, 873, 607, 3533, 607, 2009, 563, 3528, 5356, 782, 540, 891, 1007, 13561, 2533, 267, 645, 2969, 290, 269, 2041, 568, 1312, 513, 2707, 540, 6325, 1344, 543, 606, 3872, 1907, 269, 634, 1344, 3896, 585, 7264, 814, 267, 32047, 267, 1831, 513, 2203, 538, 2342, 267, 3246, 519, 4102, 2179, 540, 1483, 6066, 10512, 1344, 547, 519, 2489, 1857, 563, 6124, 2934, 786, 581, 2139, 538, 476, 1708, 271, 269, 521, 4486, 525, 568, 6857, 540, 922, 9746, 1514, 5539, 543, 6499, 547, 1683, 607, 1454, 1344, 607, 2009, 547, 2327, 513, 1732, 1620, 540, 922, 2238, 543, 5692, 269, 0, 268, 1215, 798, 596, 2285, 5491, 547, 513, 10839, 888, 268, 1215, 798, 596, 13712, 513, 10839, 689, 513, 1268, 888, 268, 1215, 798, 596, 5265, 10839, 888, 268, 1215, 798, 596, 5265, 10839, 538, 606, 1557, 888, 268, 1548, 568, 1776, 2262, 585, 5316, 1081, 888, 268, 6904, 568, 519, 1655, 4214, 540, 5316, 1081, 888, 268, 1215, 798, 596, 10839, 513, 1899, 689, 513, 7641, 1397, 888, 268, 1548, 568, 513, 10839, 888, 268, 1548, 568, 606, 1383, 540, 5316, 1081, 888, 268, 1215, 798, 596, 2285, 5491, 547, 2576, 888, 268, 1684, 596, 723, 547, 13712, 4583, 10530, 888, 268, 1548, 568, 513, 10839, 1297, 888, 268, 1684, 596, 723, 547, 4704, 513, 10839, 888, 268, 1548, 568, 606, 5316, 1081, 585, 513, 10839, 888, 268, 1548, 616, 519, 1614, 2010, 540, 24185, 888, 1692, 798, 596, 2285, 5491, 547, 513, 10839, 888, 1103, 513, 2385, 16375, 11239, 267, 596, 1747, 782, 519, 1344, 538, 24324, 1310, 519, 10839, 563, 1103, 513, 2239, 11239, 267, 596, 2012, 519, 2278, 538, 707, 4845, 630, 31742, 539, 676, 519, 1032, 1070, 543, 1747, 519, 2985, 1297, 1310, 519, 10839, 10756, 1692, 798, 596, 13712, 513, 10839, 689, 513, 1268, 888, 2691, 19696, 513, 1463, 10839, 676, 2576, 945, 568, 711, 519, 2278, 540, 519, 2707, 267, 596, 1058, 6338, 519, 1268, 538, 707, 1603, 267, 946, 5595, 19722, 7436, 585, 519, 10839, 267, 2864, 982, 519, 8912, 2582, 19722, 7436, 585, 1463, 10530, 676, 519, 2278, 540, 519, 2707, 267, 543, 1039, 519, 2985, 1297, 1369, 519, 15741, 9643, 11239, 267, 610, 267, 585, 6693, 1692, 798, 596, 5265, 10839, 888, 19187, 623, 9417, 6672, 1107, 30365, 2252, 596, 1376, 676, 10213, 945, 1767, 621, 267, 946, 513, 26893, 543, 1287, 519, 1101, 19722, 1665, 269, 2560, 1403, 596, 2322, 519, 10839, 1101, 543, 1287, 2995, 945, 1767, 621, 267, 946, 513, 26893, 693, 519, 1439, 540, 519, 4845, 267, 543, 1287, 519, 2034, 19722, 1665, 269, 2560, 623, 9417, 6672, 2141, 4422, 3330, 519, 19722, 7436, 952, 621, 568, 513, 1463, 10839, 21457, 3688, 7498, 1692, 798, 596, 5265, 10839, 538, 606, 1557, 888, 9359, 519, 19722, 593, 513, 1007, 1899, 267, 609, 519, 3003, 10839, 967, 5034, 476, 16006, 10759, 689, 519, 2451, 14345, 1247, 4509, 5595, 17898, 5217, 269, 2659, 2385, 16375, 11239, 1058, 2097, 1310, 519, 14656, 18685, 1665, 269, 1879, 844, 7627, 14235, 267, 2226, 3312, 1899, 9397, 269, 630, 2791, 1058, 2226, 5595, 17898, 5217, 2429, 707, 1557, 8094, 1432, 568, 1776, 2262, 585, 5316, 1081, 888, 1103, 713, 2985, 596, 666, 3605, 476, 278, 19655, 267, 1884, 11618, 267, 18986, 11703, 7215, 267, 543, 1644, 1913, 585, 5316, 1081, 267, 899, 281, 607, 5524, 267, 4589, 1222, 267, 5491, 267, 2285, 267, 2278, 658, 267, 7084, 543, 791, 16615, 563, 7617, 568, 519, 1655, 4214, 540, 5316, 1081, 888, 272, 2433, 519, 957, 540, 5316, 5024, 1945, 2523, 2433, 519, 607, 21564, 540, 513, 960, 630, 553, 540, 3332, 610, 1148, 264, 547, 513, 1880, 2278, 610, 7376, 269, 476, 273, 2433, 606, 607, 8282, 2298, 267, 1915, 267, 610, 1318, 8111, 11499, 7060, 941, 5316, 1903, 540, 519, 10971, 563, 1692, 798, 596, 10839, 513, 1899, 689, 513, 7641, 1397, 888, 24375, 609, 519, 2140, 540, 519, 12558, 538, 19722, 7436, 269, 3629, 519, 2012, 540, 519, 3126, 610, 1982, 538, 24495, 923, 269, 4746, 1331, 519, 3060, 2012, 267, 1289, 5022, 540, 519, 6728, 4553, 676, 519, 4266, 540, 13739, 543, 2749, 563, 1432, 568, 513, 10839, 888, 32621, 1797, 547, 10956, 519, 3169, 1913, 540, 513, 10584, 610, 606, 2278, 269, 589, 10839, 568, 849, 513, 8574, 610, 3948, 7368, 538, 713, 1259, 269, 2372, 1774, 1797, 547, 13712, 1945, 607, 513, 1106, 540, 6169, 269, 2372, 1774, 814, 1896, 824, 12823, 607, 513, 8231, 543, 513, 10902, 563, 1432, 568, 606, 1383, 540, 5316, 1081, 888, 2690, 1383, 267, 936, 519, 1576, 540, 513, 6093, 1554, 267, 596, 4440, 1118, 3875, 5316, 1903, 827, 707, 1378, 2623, 607, 1134, 607, 602, 540, 519, 1004, 1472, 596, 269, 1879, 596, 1205, 513, 4057, 3446, 593, 513, 7688, 267, 596, 1522, 16620, 519, 4116, 585, 711, 18113, 7713, 519, 1570, 267, 4625, 14962, 532, 519, 1249, 602, 596, 4769, 1406, 1353, 563, 1692, 798, 596, 2285, 5491, 547, 2576, 888, 2414, 2285, 5491, 267, 596, 666, 3274, 1039, 519, 8227, 779, 2012, 538, 519, 1309, 1632, 547, 1397, 602, 519, 3239, 12851, 547, 2576, 3116, 563, 2710, 596, 723, 547, 13712, 4583, 10530, 888, 5472, 1134, 8153, 24185, 602, 616, 30289, 547, 606, 1367, 610, 547, 513, 1257, 2154, 14327, 269, 1411, 1058, 10839, 513, 4583, 6031, 607, 621, 5526, 538, 513, 3119, 610, 6281, 2707, 543, 1287, 13712, 602, 2707, 563, 1432, 568, 513, 10839, 1297, 888, 1700, 2372, 21320, 7089, 269, 589, 2189, 1297, 547, 2697, 519, 19722, 269, 901, 1297, 568, 3730, 585, 596, 543, 707, 6075, 547, 3277, 547, 269, 1107, 2372, 21320, 2262, 532, 269, 1411, 1058, 2322, 519, 1913, 968, 5226, 21320, 892, 1310, 519, 4484, 3650, 563, 2710, 596, 723, 547, 4704, 513, 10839, 888, 2791, 991, 547, 1683, 513, 11239, 8164, 596, 3277, 547, 606, 2856, 602, 596, 6508, 689, 513, 2707, 269, 901, 568, 519, 2013, 2436, 596, 946, 513, 1463, 10839, 267, 513, 22950, 19189, 267, 610, 1256, 1175, 513, 1463, 610, 9940, 2446, 563, 1432, 568, 606, 5316, 1081, 585, 513, 10839, 888, 16920, 9084, 1797, 3841, 1746, 519, 2707, 1141, 1344, 610, 513, 1463, 19722, 729, 5833, 952, 621, 7012, 1406, 707, 1378, 20250, 1702, 269, 21922, 2356, 2882, 519, 2407, 2012, 540, 519, 1268, 3246, 519, 20926, 1570, 610, 4143, 9623, 267, 543, 741, 2816, 2140, 630, 604, 2877, 547, 1397, 1946, 519, 2707, 729, 1031, 1916, 1432, 616, 519, 1614, 2010, 540, 24185, 888, 1432, 616, 519, 1614, 2010, 540, 24185, 286, 1103, 17856, 10530, 269, 1323, 538, 17856, 10839, 568, 513, 2110, 10839, 602, 13352, 883, 543, 29349, 513, 4845, 596, 4076, 2854, 269, 5715, 1311, 10530, 269, 1323, 9940, 10839, 568, 950, 596, 22950, 19189, 2093, 689, 513, 2707, 6185, 1311, 10530, 269, 589, 1463, 10839, 568, 950, 596, 1491, 1257, 2047, 689, 513, 2707, 1510, 4657, 4376, 269, 0, 268, 1548, 568, 5634, 1788, 888, 268, 1548, 616, 519, 2185, 1455, 2010, 540, 3785, 888, 268, 1548, 568, 513, 1788, 2203, 888, 268, 1548, 568, 3017, 1063, 5634, 543, 2101, 1788, 888, 268, 6904, 568, 519, 7887, 1788, 538, 519, 1158, 888, 268, 1548, 616, 2101, 3785, 888, 268, 6904, 835, 568, 519, 1034, 1455, 6751, 302, 2497, 888, 268, 1548, 568, 513, 1788, 543, 1806, 888, 268, 1548, 616, 519, 1614, 2010, 540, 1788, 2359, 5604, 888, 268, 1548, 616, 519, 2185, 2010, 540, 3785, 888, 268, 1548, 616, 6751, 302, 2238, 888, 268, 1548, 568, 5741, 7121, 888, 268, 1548, 616, 519, 1114, 2010, 540, 3785, 888, 268, 1548, 616, 519, 476, 274, 1292, 2010, 540, 3301, 888, 268, 1548, 1281, 6751, 302, 1796, 585, 888, 1432, 568, 5634, 1788, 888, 14737, 528, 1788, 1797, 513, 1788, 585, 7269, 540, 513, 8628, 4099, 547, 1331, 513, 5021, 540, 2185, 630, 275, 264, 13460, 267, 13464, 23822, 618, 267, 22058, 566, 540, 5656, 543, 2679, 1949, 609, 513, 6578, 540, 1447, 982, 1269, 1839, 267, 1822, 267, 610, 4070, 540, 1489, 2230, 693, 8628, 7740, 267, 610, 22058, 566, 711, 3989, 607, 2101, 22058, 566, 10756, 1432, 616, 519, 2185, 1455, 2010, 540, 3785, 888, 11917, 1263, 6257, 2185, 2010, 540, 3785, 281, 29303, 538, 519, 20893, 16634, 4517, 519, 5718, 6163, 2877, 547, 5838, 12438, 1049, 1689, 616, 5702, 1644, 547, 1142, 1826, 540, 1788, 15030, 22736, 538, 519, 674, 690, 269, 2560, 10435, 513, 28414, 269, 2560, 24613, 2201, 513, 2372, 652, 269, 2560, 27006, 1635, 10606, 563, 1432, 568, 513, 1788, 2203, 888, 288, 1788, 2203, 568, 513, 4015, 540, 3652, 543, 11226, 1031, 585, 4881, 513, 1788, 269, 634, 1788, 2203, 568, 1419, 3113, 1227, 11609, 538, 513, 4786, 269, 2560, 634, 4786, 849, 5932, 513, 1455, 2070, 540, 519, 2203, 585, 782, 1788, 2818, 269, 634, 2203, 2882, 11673, 540, 32262, 267, 2238, 267, 5107, 267, 17167, 326, 919, 267, 6054, 3092, 563, 1432, 568, 3017, 1063, 5634, 543, 2101, 1788, 888, 15253, 1563, 547, 519, 5634, 1382, 1788, 267, 519, 2101, 1788, 3340, 4514, 543, 2362, 7400, 2079, 269, 769, 1931, 547, 2347, 519, 2101, 1788, 547, 513, 1164, 1377, 267, 513, 717, 5183, 540, 476, 4037, 266, 568, 5227, 538, 18631, 17440, 5396, 269, 589, 1382, 1788, 786, 581, 2838, 585, 1053, 4058, 585, 513, 12854, 13374, 563, 7617, 568, 519, 7887, 1788, 538, 519, 1158, 888, 26668, 540, 519, 8262, 7465, 18768, 538, 519, 2622, 306, 5652, 4975, 476, 1911, 271, 269, 901, 11265, 1788, 729 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 634, 1991, 1148, 814, 4061, 8179, 585, 2081, 547, 12189, 865, 10777, 968, 1873, 3558, 2173, 1712, 892, 7586, 13294, 630, 514, 799, 519, 24923, 568, 9141, 547, 957, 607, 513, 6467, 693, 519, 5665, 4908, 547, 7413, 519, 1379, 26632, 730, 1247, 519, 24923, 568, 10647, 1699, 264, 865, 602, 519, 6467, 6453, 568, 4642, 585, 513, 1875, 25179, 8884, 540, 942, 827, 519, 8216, 540, 15175, 267, 7551, 13302, 1379, 4744, 11692, 269, 634, 4147, 661, 24582, 3096, 513, 19535, 3977, 3060, 602, 2488, 2614, 5232, 540, 5191, 547, 3337, 519, 6467, 6453, 547, 723, 1312, 4642, 1871, 543, 4642, 9386, 693, 6467, 2490, 6823, 267, 3976, 4227, 15175, 9271, 269, 4147, 674, 7586, 13294, 616, 1869, 513, 2417, 1362, 540, 6467, 2173, 1712, 7586, 13294, 269, 4147, 674, 7586, 13294, 5352, 513, 811, 4009, 3977, 5951, 845, 607, 3379, 547, 519, 8912, 20534, 24859, 269, 901, 968, 338, 638, 2130, 5346, 892, 540, 519, 3977, 5951, 845, 568, 6913, 676, 8716, 519, 5108, 540, 9642, 19195, 2800, 9582, 630, 328, 4318, 1421, 1535, 274, 267, 1535, 276, 267, 1535, 278, 267, 3092, 4700, 543, 1139, 7675, 519, 1256, 19195, 2800, 9582, 630, 328, 4318, 1421, 1535, 273, 267, 1535, 275, 267, 3092, 4700, 538, 519, 3977, 3060, 563, 2304, 1383, 540, 513, 1634, 1379, 24582, 585, 946, 538, 513, 10408, 15146, 568, 3254, 538, 16658, 269, 476, 272, 269, 717, 15551, 10408, 7658, 10746, 267, 585, 1383, 267, 1590, 581, 5827, 540, 5752, 3977, 1379, 936, 513, 476, 1789, 28108, 332, 2039, 269, 769, 1840, 267, 519, 31092, 2490, 6823, 543, 2490, 11325, 12632, 1590, 581, 8308, 6417, 547, 2061, 838, 21874, 5434, 269, 5295, 568, 6417, 2047, 676, 519, 667, 9915, 630, 21745, 1388, 5365, 16267, 264, 540, 519, 10408, 15146, 267, 3842, 513, 667, 3722, 630, 21745, 1388, 547, 12746, 20303, 1040, 769, 519, 5547, 540, 16658, 269, 476, 272, 267, 513, 5365, 717, 6311, 299, 11479, 519, 10766, 540, 606, 5007, 17985, 290, 24582, 602, 8060, 519, 16674, 1377, 547, 519, 1379, 24582, 269, 589, 6712, 540, 519, 3977, 568, 10480, 1394, 267, 3842, 513, 4287, 531, 4172, 16980, 267, 585, 6806, 2000, 17274, 5106, 269, 634, 24582, 538, 16658, 269, 476, 272, 568, 711, 513, 6467, 2173, 1712, 24582, 269, 13298, 267, 519, 24582, 568, 693, 1655, 513, 4147, 9474, 24582, 9141, 883, 25294, 267, 543, 8754, 9727, 5266, 4057, 4398, 563, 20776, 3272, 540, 13405, 4793, 757, 454, 6944, 1503, 540, 519, 3977, 1379, 689, 606, 24582, 568, 9846, 3254, 607, 8506, 513, 5955, 2497, 267, 607, 30833, 538, 772, 2529, 269, 4793, 269, 715, 657, 269, 476, 275, 267, 4375, 273, 267, 25090, 282, 476, 275, 267, 4200, 273, 267, 4037, 274, 282, 476, 276, 267, 271, 4817, 267, 276, 5655, 282, 476, 276, 267, 4350, 267, 23417, 282, 476, 276, 267, 3607, 280, 267, 4281, 280, 282, 476, 276, 267, 25148, 267, 26604, 282, 476, 276, 267, 7597, 278, 267, 5881, 273, 543, 476, 276, 267, 7597, 278, 267, 5881, 275, 269, 4033, 8100, 267, 971, 607, 772, 2529, 269, 4793, 269, 3143, 269, 476, 276, 267, 28510, 267, 280, 1321, 267, 4001, 519, 1852, 540, 24582, 3977, 1379, 676, 4657, 519, 24582, 4452, 5547, 563, 288, 1644, 1966, 568, 519, 5108, 540, 1110, 4327, 6786, 267, 552, 3052, 1421, 17931, 1110, 4327, 630, 4456, 264, 6786, 267, 9076, 1155, 17931, 1110, 4327, 6786, 630, 304, 4456, 1070, 3092, 269, 589, 1634, 21842, 25244, 2497, 568, 3254, 538, 16658, 269, 476, 273, 269, 589, 1239, 5365, 568, 4294, 547, 513, 9076, 1155, 25244, 1958, 18344, 602, 7472, 594, 543, 1627, 6786, 269, 634, 594, 543, 1627, 6786, 616, 4294, 547, 513, 9076, 1155, 1110, 15975, 2059, 609, 513, 15298, 5365, 269, 634, 15298, 5365, 568, 6383, 676, 513, 15298, 5108, 3625, 547, 799, 513, 25122, 5365, 568, 4294, 563, 23777, 1227, 267, 606, 3977, 5365, 540, 519, 9076, 1155, 1110, 15975, 568, 1287, 4294, 547, 513, 4756, 22887, 340, 1807, 6417, 538, 13076, 609, 513, 1379, 1852, 5365, 269, 769, 824, 8320, 267, 1379, 1852, 568, 8045, 676, 642, 11691, 519, 2744, 540, 519, 24582, 269, 901, 568, 6913, 676, 14577, 519, 9186, 593, 27820, 1369, 519, 538, 792, 24582, 267, 2921, 5413, 540, 519, 1198, 1141, 24923, 1098, 17238, 766, 9775, 609, 519, 513, 680, 1221, 9186, 2175, 269, 4595, 24582, 2744, 568, 9244, 1644, 547, 519, 24923, 1098, 17238, 766, 267, 8795, 519, 1098, 17238, 766, 3927, 9775, 519, 24582, 2744, 269, 589, 4611, 5365, 568, 1287, 28659, 676, 513, 5276, 1379, 24582, 543, 4294, 547, 606, 19215, 563, 288, 1505, 585, 6721, 4977, 17931, 1110, 4327, 6786, 1210, 22357, 4147, 595, 7586, 13294, 267, 1572, 968, 30066, 25244, 2223, 814, 1044, 1634, 585, 936, 476, 3583, 1296, 607, 4330, 538, 5931, 971, 607, 570, 9007, 781, 15571, 19296, 18361, 630, 18250, 294, 3863, 6953, 650, 267, 476, 3707, 274, 1040, 769, 519, 6093, 6676, 21524, 1637, 4480, 267, 3977, 1699, 689, 519, 1110, 15975, 24582, 568, 31085, 3773, 547, 519, 1379, 3761, 1699, 547, 519, 7586, 4328, 3693, 630, 341, 659, 10840, 8546, 610, 24923, 1070, 971, 602, 519, 1379, 3761, 1699, 568, 2799, 543, 8519, 689, 922, 3328, 1871, 538, 13076, 609, 519, 17931, 25244, 269, 901, 8795, 1699, 3123, 519, 7805, 1379, 3761, 6453, 593, 519, 7586, 4328, 3693, 547, 4268, 267, 538, 13076, 609, 519, 4187, 630, 528, 2932, 766, 264, 4162, 540, 519, 7586, 4328, 3693, 563, 3528, 1210, 713, 1463, 1852, 540, 3977, 1379, 267, 7537, 666, 581, 1198, 539, 607, 1279, 607, 519, 19961, 540, 519, 8795, 5665, 6453, 568, 6190, 269, 2334, 568, 267, 891, 22357, 7586, 13294, 2965, 957, 607, 5276, 7586, 13294, 609, 2463, 547, 519, 24582, 5665, 6453, 269, 1677, 519, 6708, 602, 713, 5665, 6453, 666, 581, 9867, 609, 942, 1247, 6117, 519, 22357, 1379, 24582, 267, 519, 3977, 5365, 786, 581, 31085, 17931, 1110, 4327, 563, 1103, 7537, 6786, 267, 519, 17931, 540, 519, 5365, 568, 1500, 15186, 14354, 547, 519, 9588, 540, 606, 1344, 5365, 267, 971, 607, 5639, 269, 6176, 6786, 971, 607, 5639, 616, 711, 3586, 538, 2470, 267, 543, 865, 519, 4611, 7537, 6786, 616, 11179, 8795, 538, 3977, 1379, 269, 10613, 540, 8236, 17931, 25244, 1331, 519, 4999, 540, 513, 21318, 540, 3586, 17931, 6786, 267, 607, 3254, 538, 772, 2529, 269, 4793, 269, 715, 657, 269, 476, 275, 267, 276, 3199, 267, 9340, 282, 476, 275, 267, 3199, 275, 267, 280, 4029, 282, 476, 276, 267, 28803, 267, 4792, 279, 543, 476, 276, 267, 4792, 273, 267, 276, 5379, 269, 2549, 680, 3363, 25244, 676, 1210, 13942, 2914, 5954, 25244, 547, 4268, 519, 1379, 3761, 540, 519, 1379, 24582, 568, 3254, 538, 772, 2529, 269, 4793, 269, 715, 657, 269, 476, 275, 267, 8660, 277, 267, 4391, 273, 282, 476, 274, 267, 2004, 277, 267, 280, 736, 282, 476, 274, 267, 276, 6434, 267, 278, 4510, 543, 476, 274, 267, 31979, 267, 31816, 269, 1717, 267, 519, 2062, 4707, 24977, 4001, 602, 519, 5665, 4908, 540, 519, 6467, 2173, 1712, 9823, 5937, 290, 20303, 1590, 581, 3648, 2362, 982, 519, 5021, 25244, 4908, 563, 308, 2529, 269, 4793, 269, 3143, 269, 476, 276, 267, 14695, 267, 277, 6434, 547, 26981, 4314, 328, 1696, 620, 269, 9607, 519, 1852, 540, 5276, 7586, 13294, 1210, 5955, 1852, 547, 1305, 519, 4890, 24582, 3977, 1379, 267, 5916, 609, 13350, 16369, 540, 519, 1379, 24582, 5665, 6453, 547, 2087, 519, 5665, 4398, 540, 519, 1379, 24582, 269, 634, 3119, 2721, 3724, 540, 713, 4480, 568, 519, 10421, 585, 606, 3606, 1852, 5547, 547, 2631, 519, 5551, 3977, 1379, 267, 547, 6430, 2436, 630, 528, 711, 264, 519, 1379, 24582, 5665, 6453, 1058, 581, 4957, 547, 2087, 4398, 267, 543, 547, 1198, 1022, 1689, 952, 865, 4956, 269, 901, 3606, 1852, 5547, 787, 4679, 24582, 6988, 543, 14405, 3606, 1379, 3564, 602, 540, 519, 24582, 3294, 267, 799, 2047, 6971, 2949, 4398, 563, 288, 2417, 4161, 814, 1044, 547, 5352, 513, 1164, 27703, 16674, 5365, 2348, 5551, 25244, 4162, 269, 901, 1843, 568, 6913, 538, 13076, 609, 519, 10752, 540, 772, 2529, 269, 4793, 269, 3143, 269, 476, 275, 267, 276, 3199, 267, 9340, 547, 4210, 753, 517, 676, 1210, 513, 21318, 540, 1164, 4398, 7586, 13294, 3246, 513, 6378, 3977, 1379, 267, 799, 616, 13087, 538, 5311, 971, 602, 519, 5551, 2698, 5916, 3977, 1379, 568, 513, 2789, 540, 713, 6378, 1367, 24582, 1379, 269, 769, 713, 10325, 267, 519, 10545, 1689, 538, 2949, 3977, 1379, 568, 9247, 3160, 547, 519, 1379, 540, 1142, 540, 519, 21318, 540, 1164, 4398, 7586, 325, 4536, 269, 1403, 29656, 28439, 3977, 1379, 6571, 568, 2838, 267, 1287, 5732, 513, 1360, 1804, 1297, 540, 1367, 1164, 4398, 7586, 13294, 949, 581, 2838, 269, 901, 5693, 4679, 519, 2949, 6988, 540, 519, 24582, 563, 308, 2529, 269, 4793, 269, 3143, 269, 476, 276, 267, 25834, 267, 278, 4200, 15824, 8701, 25244, 267, 855, 568, 11658, 547, 2407, 268, 24978, 1239, 6786, 543, 568, 711, 3730, 609, 1164, 1379, 267, 1164, 3887, 11797, 7586, 13294, 269, 634, 14664, 11414, 602, 17931, 7648, 593, 519, 1110, 4327, 5365, 616, 4294, 998, 513, 3059, 12750, 1512, 1739, 5123, 25244, 543, 5365, 5108, 5933, 269, 634, 3803, 12746, 5365, 568, 1287, 2919, 1210, 513, 3059, 3562, 12845, 11530, 20303, 269, 1306, 7150, 538, 519, 3557, 540, 519, 3203, 3296, 23954, 267, 6786, 609, 1344, 2907, 8045, 538, 17931, 7648, 616, 711, 15095, 609, 1164, 3887, 11797, 267, 22357, 1379, 7586, 13294, 1813, 547, 519, 7654, 4049, 23673, 540, 519, 5365, 17931, 7648, 563, 8601, 519, 10752, 540, 519, 2062, 4707, 8100, 267, 513, 1297, 540, 2042, 2611, 547, 581, 12193, 267, 1519, 519, 1739, 281, 547, 3035, 1164, 3887, 11797, 17931, 25244, 540, 606, 16674, 5365, 676, 642, 9653, 540, 519, 5665, 6453, 1210, 513, 6467, 7154, 20303, 1510, 8506, 1164, 23151, 6467, 2173, 1712, 5106, 630, 553, 3379, 547, 519, 25244, 4908, 5148, 547, 796, 1518, 1379, 7400, 543, 16802, 1852, 609, 25244, 1852, 282, 547, 5512, 1164, 3887, 11797, 25244, 540, 1022, 5551, 1915, 630, 600, 680, 3363, 543, 5924, 5123, 5148, 543, 547, 5512, 1164, 27703, 5106, 630, 324, 3052, 1421, 585, 3490, 10473, 264, 1510, 27531, 1379, 4398, 563, 306, 9331, 300, 14473, 5508, 5990, 5442, 309, 2894, 3582, 454, 763, 1459, 8798, 267, 3622, 6340, 267, 2488, 585, 1164, 3887, 11797, 1379, 1852, 540, 513, 1164, 3887, 11797, 630, 324, 3052, 1421, 2182, 29438, 1746, 610, 6467, 2173, 1712, 264, 1379, 24582, 538, 971, 513, 6073, 607, 547, 3035, 513, 5551, 25244, 269, 769, 835, 20032, 267, 519, 3262, 1063, 513, 5021, 4908, 540, 519, 5551, 25244, 543, 519, 5665, 4908, 540, 513, 6467, 2173, 1712, 9823, 5937, 290, 20303, 568, 4389, 676, 1739, 519, 6467, 2173, 1712, 20303, 609, 606, 3742, 5276, 26273, 269, 634, 5276, 26273, 568, 2966, 865, 607, 547, 1852, 519, 5665, 6453, 540, 519, 1379, 24582, 609, 6190, 19961, 547, 5132, 2685, 16196, 519, 5551, 17931, 25244, 5951, 27322, 269, 634, 5276, 26273, 568, 2417, 2966, 547, 7947, 7648, 593, 922, 3403, 6453, 1256, 1247, 519, 3977, 6453, 568, 4957, 538, 3210, 547, 606, 4294, 1852, 5365, 269, 901, 18349, 786, 2049, 1256, 1498, 519, 7648, 593, 519, 3403, 6453, 616, 540, 862, 839, 23847, 610, 1256, 2539, 4908, 982, 602, 540, 519, 6417, 3977, 8390, 269, 2549, 680, 3363, 25244, 949, 581, 6913, 676, 2047, 610, 3927, 8795, 519, 5665, 6453, 593, 519, 1379, 24582, 1247, 8195, 8236, 1164, 4398, 538, 519, 7503, 540, 3119, 9823, 1379, 547, 519, 17931, 1110, 4327, 3977, 5365, 269, 4400, 4398, 568, 8476, 676, 3850, 519, 6467, 2173, 1712, 9823, 3562, 5937, 290, 20303, 547, 849, 4268, 922, 3977, 6453, 971, 602, 519, 6453, 6749, 2066, 519, 5276, 26273, 568, 6854, 693, 513, 1970, 543, 5266, 3586, 1377, 269, 5384, 1673, 643, 1707, 2789, 1569, 630, 31813, 7246, 264, 16802, 532, 12588, 949, 581, 5916, 609, 3608, 17931, 25244, 267, 609, 1852, 540, 891, 3252, 1373, 5916, 269, 769, 1840, 267, 519, 8390, 540, 3328, 3977, 1379, 1377, 538, 13076, 609, 12981, 689, 513, 10618, 1062, 949, 849, 581, 5916, 1369, 519, 1482, 2497, 563, 763, 1164, 3887, 11797, 17931, 25244, 2497, 949, 581, 6905, 547, 1022, 17062, 25244, 269, 3525, 1637, 568, 5340, 538, 8701, 1106, 267, 1775, 4318, 1421, 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 ]
[ 476, 271, 264, 13127, 376, 478, 417, 356, 489, 12486, 14756, 503, 24731, 14395, 481, 7511, 26175, 375, 20693, 357, 421, 350, 374, 31365, 8147, 454, 10254, 353, 13161, 511, 30244, 14748, 10951, 374, 417, 503, 357, 32512, 21928, 14395, 490, 29873, 26175, 375, 20693, 357, 12571, 492, 15159, 12571, 355, 21928, 1109, 263, 271, 267, 476, 271, 264, 13127, 353, 482, 14756, 497, 23521, 509, 12486, 692, 26175, 375, 20693, 357, 421, 350, 374, 31365, 13200, 365, 21211, 31033, 4970, 366, 23989, 419, 353, 374, 12486, 21211, 31033, 1847, 5157, 316, 476, 23989, 419, 353, 374, 10429, 370, 21588, 361, 1775, 17276, 361, 350, 26175, 375, 20693, 357, 25707, 10951, 374, 417, 503, 357, 32512, 7511, 20069, 10533, 486, 20693, 357, 30853, 20069, 1109, 305, 27818, 9463, 367, 24724, 8147, 299, 27818, 26266, 355, 24724, 8147, 308, 27818, 31968, 24724, 25520, 667, 27818, 31284, 24724, 25707, 417, 28187, 31563, 10951, 374, 417, 503, 357, 32512, 21928, 14395, 490, 29873, 19867, 478, 20069, 20693, 357, 30853, 12571, 492, 13213, 498, 18713, 508, 31308, 509, 30536, 8147, 10254, 503, 13213, 498, 18713, 508, 3020, 12486, 12571, 355, 10254, 503, 8147, 13213, 498, 18713, 508, 7301, 12486, 692, 21796, 357, 418, 482, 493, 16088, 10951, 374, 417, 503, 357, 32512, 2108, 30837, 351, 10951, 507, 892, 7511, 25913, 12571, 495, 20721, 510, 10429, 367, 27381, 356, 28884, 25707, 2108, 305, 892, 13127, 364, 484, 417, 356, 489, 14756, 486, 12916, 379, 10951, 374, 417, 503, 357, 32512, 12571, 495, 9463, 367, 26175, 375, 20693, 357, 13601, 418, 361, 350, 8147, 2108, 299, 892, 13127, 364, 484, 417, 356, 489, 14756, 486, 12571, 495, 26266, 355, 26175, 375, 20693, 357, 419, 511, 487, 25707, 27882, 353, 14035, 500, 8147, 417, 479, 485, 18777, 378, 30006, 493, 418, 361, 350, 26175, 375, 20693, 357, 10951, 374, 417, 503, 357, 32512, 7511, 26175, 375, 20693, 357, 23946, 483, 18021, 355, 25203, 372, 12571, 490, 12486, 7531, 419, 353, 374, 28032, 489, 476, 272, 1384, 27447, 24662, 281, 834, 11070, 4840, 27447, 24731, 281, 3020, 454, 25335, 352, 19404, 488, 16088, 10951, 374, 417, 503, 357, 32512, 12571, 495, 31968, 26175, 375, 20693, 357, 13601, 418, 361, 350, 8147, 419, 482, 370, 12571, 492, 12571, 495, 31284, 26175, 375, 20693, 357, 13601, 418, 361, 350, 25707, 19867, 478, 20069, 20693, 357, 30853, 421, 25693, 10429, 371, 20069, 25203, 372, 12571, 490, 7511, 23946, 483, 18021, 355, 8147, 18713, 510, 27882, 353, 14395, 481, 31006, 14756, 486, 18713, 508, 28996, 14395, 481, 19764, 478, 417, 356, 489, 7511, 31308, 509, 30536, 12486, 18713, 510, 27882, 353, 8147, 16043, 495, 10524, 361, 13213, 498, 18713, 508, 3020, 25707, 419, 353, 374, 28032, 489, 476, 273, 1384, 27447, 24662, 281, 834, 17247, 4840, 27447, 24731, 281, 7301, 454, 25335, 352, 19404, 488, 16088, 10951, 374, 417, 503, 357, 32512, 12571, 495, 26266, 355, 26175, 375, 20693, 357, 4970, 353, 418, 361, 350, 12486, 14395, 481, 31006, 14756, 486, 12916, 491, 30678, 31308, 509, 30536, 7511, 26266, 355, 28032, 356, 8147, 454, 420, 371, 507, 31308, 509, 30536, 20069, 4970, 353, 418, 361, 350, 968, 26175, 375, 20693, 357, 892, 476, 7511, 420, 371, 507, 419, 355, 375, 12486, 16043, 495, 10524, 361, 13213, 498, 18713, 508, 7301, 8147, 18713, 510, 20992, 14395, 481, 21928, 26175, 375, 20693, 357, 14756, 497, 23521, 509, 28793, 418, 366, 350, 20069, 13213, 498, 18713, 508, 31308, 509, 30536, 12486, 692, 18257, 692, 5035, 8827, 912, 825, 1219, 9794, 290, 22511, 4311, 267, 7575, 281, 1193, 264, 9847, 536, 944, 912, 1038, 2132, 7575, 29644, 2891, 299, 8442, 2652, 7575, 29644, 2891, 305, 8442, 543, 7575, 29644, 2891, 308, 8442, 2652, 7575, 29644, 2891, 291, 8442 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 763, 1739, 616, 2789, 3903, 2055, 630, 5976, 4267, 264, 827, 1455, 2631, 780, 9223, 281, 2657, 281, 1496, 3650, 518, 316, 1215, 547, 3247, 13461, 593, 2029, 543, 2061, 707, 2247, 3478, 20585, 1496, 27583, 316, 3367, 811, 2168, 5931, 269, 1496, 21163, 316, 5303, 814, 3366, 547, 552, 22345, 619, 267, 2228, 14786, 267, 543, 21075, 602, 596, 666, 1224, 593, 707, 6049, 267, 16979, 267, 610, 15291, 269, 1717, 267, 2542, 2228, 610, 609, 7525, 1569, 547, 519, 4950, 666, 1291, 547, 30411, 543, 1447, 11291, 269, 3097, 288, 269, 25529, 547, 2228, 552, 268, 9248, 267, 799, 616, 5051, 519, 2707, 540, 9913, 585, 596, 543, 1810, 1405, 2154, 3965, 4393, 269, 1496, 11357, 25074, 316, 14171, 909, 513, 2182, 5299, 540, 513, 1686, 1433, 1223, 1832, 707, 2247, 13026, 585, 513, 1906, 2395, 563, 289, 269, 18227, 707, 2247, 11112, 676, 2542, 2835, 543, 3257, 3860, 1603, 666, 849, 948, 707, 2247, 3251, 538, 2638, 543, 26531, 267, 799, 786, 948, 609, 707, 993, 5886, 807, 269, 1496, 11357, 25074, 316, 4676, 3306, 707, 12823, 676, 2542, 7683, 563, 290, 269, 6333, 2542, 513, 2168, 1433, 267, 11356, 267, 610, 12139, 3079, 540, 513, 3059, 4528, 269, 1496, 11357, 25074, 316, 6884, 267, 3533, 1236, 21148, 513, 11356, 2376, 543, 14467, 593, 519, 1985, 3095, 666, 1291, 547, 513, 2603, 540, 2110, 28377, 540, 1344, 602, 596, 1810, 1405, 1445, 593, 1279, 2614, 547, 3479, 547, 3965, 610, 1106, 4555, 563, 291, 269, 8347, 2542, 610, 8384, 513, 1434, 552, 22345, 518, 585, 12257, 269, 1496, 11357, 25074, 316, 8347, 2542, 3908, 2168, 13847, 971, 607, 1699, 2621, 563, 12585, 281, 595, 0, 9223, 281, 5808, 1705, 3627, 645, 2075, 578, 5372, 607, 29150, 540, 519, 5600, 540, 12780, 593, 795, 2317, 476, 2420, 526, 476, 1220, 280, 888, 12585, 281, 544, 19376, 31994, 0, 9223, 281, 1403, 596, 917, 4010, 1018, 596, 1616, 267, 519, 1655, 8905, 547, 513, 2816, 568, 547, 1205, 7463, 2866, 6993, 2487, 5619, 2982, 602, 3549, 899, 20021, 538, 971, 4610, 607, 1870, 543, 1072, 1416, 945, 666, 979, 547, 960, 5612, 609, 1360, 2370, 593, 7308, 18191, 984, 2866, 269, 2334, 781, 2523, 3020, 540, 1630, 4040, 4610, 602, 616, 4101, 585, 4600, 269, 4263, 26658, 781, 3427, 540, 23392, 10029, 267, 585, 1383, 267, 20277, 781, 4110, 20021, 1205, 606, 3328, 540, 2185, 610, 2947, 2816, 3091, 609, 23269, 8151, 689, 519, 1164, 12322, 547, 519, 1970, 476, 736, 338, 543, 7899, 540, 8458, 585, 4028, 13120, 11482, 1618, 3549, 267, 2523, 267, 899, 513, 4282, 540, 6101, 2069, 13745, 609, 960, 1995, 269, 1809, 538, 519, 1279, 2196, 267, 1932, 1454, 29286, 3085, 1405, 2628, 1055, 11065, 5350, 267, 799, 814, 1044, 27876, 609, 15406, 2026, 267, 1100, 3476, 15109, 519, 4110, 606, 13128, 16826, 540, 13170, 7868, 32233, 949, 1930, 9885, 543, 4971, 513, 2362, 14057, 7620, 267, 9041, 1547, 1306, 2417, 2963, 540, 519, 11761, 540, 9746, 5132, 538, 7463, 5232, 267, 12309, 3557, 781, 2480, 18694, 345, 524, 2572, 513, 4806, 538, 9746, 17849, 2853, 269, 7212, 3549, 4043, 547, 1491, 593, 12665, 607, 1007, 554, 2231, 267, 789, 1419, 3343, 856, 2489, 1235, 585, 1647, 543, 5580, 7400, 2359, 1701, 5445, 1616, 2576, 945, 3884, 1405, 28653, 676, 10808, 543, 31211, 547, 1413, 693, 519, 2462, 4605, 267, 834, 3081, 2480, 18694, 345, 269, 5384, 543, 1586, 4074, 27360, 564, 19767, 2446, 513, 991, 585, 15421, 602, 12666, 268, 11301, 32407, 616, 10924, 547, 723, 281, 8586, 543, 2792, 1983, 267, 10721, 1983, 267, 1930, 16490, 1145, 543, 13916, 267, 543, 519, 2702, 547, 5659, 543, 4194, 2042, 6185, 14865, 21960, 577, 6811, 646, 1281, 711, 16926, 24455, 609, 606, 32233, 610, 606, 4702, 4110, 267, 834, 296, 16926, 1152, 12666, 268, 11301, 1004, 1317, 789, 723, 513, 1447, 31032, 2275, 10165, 1259, 540, 3257, 1919, 267, 834, 3081, 21960, 577, 11482, 28515, 268, 11301, 1797, 606, 27268, 9488, 543, 7453, 1982, 602, 2882, 3332, 267, 1686, 267, 6128, 267, 9297, 267, 2257, 267, 1480, 2623, 13807, 639, 513, 2780, 1576, 610, 1079, 269, 4415, 602, 896, 707, 12966, 267, 596, 666, 1745, 1863, 547, 20647, 1701, 288, 12666, 268, 11301, 4110, 13745, 609, 606, 32233, 610, 930, 824, 2930, 2866, 568, 513, 1360, 1434, 4999, 538, 519, 19458, 267, 834, 3081, 2480, 18694, 345, 269, 6424, 21960, 577, 6811, 602, 646, 1152, 554, 2231, 12666, 268, 11301, 1004, 1317, 567, 9041, 476, 4586, 288, 269, 789, 616, 811, 5827, 540, 7829, 4657, 3871, 454, 289, 269, 789, 666, 6529, 547, 3964, 2081, 540, 6061, 2042, 454, 290, 269, 789, 616, 8499, 8036, 538, 513, 3099, 540, 7463, 4610, 454, 291, 269, 789, 723, 13984, 2027, 3292, 538, 2359, 454, 12585, 281, 589, 0, 9223, 281, 22374, 21861, 2317, 476, 18004, 538, 476, 6245, 271, 538, 4516, 269, 589, 4387, 595, 877, 547, 3624, 538, 476, 4350, 278, 269, 667, 1221, 538, 476, 4350, 280, 538, 3624, 269, 7338, 32525, 476, 18004, 538, 476, 7277, 278, 267, 17996, 267, 7330, 17214, 936, 476, 272, 267, 1822, 18563, 1547, 291, 1221, 538, 476, 4350, 272, 269, 595, 5202, 667, 542, 476, 18004, 538, 20563, 267, 4516, 476, 769, 476, 1960, 278, 267, 31025, 519, 5152, 3733, 9839, 4024, 3619, 2201, 585, 519, 4670, 825, 21419, 545, 567, 589, 22256, 269, 9291, 27176, 825, 18004, 538, 476, 4198, 276, 538, 7330, 654, 4710, 6355, 7711, 519, 17726, 540, 23539, 15083, 985, 9786, 7577, 269, 4460, 30805, 476, 18004, 538, 476, 8146, 276, 538, 7330, 589, 27752, 667, 1221, 538, 476, 4489, 271, 654, 4710, 8751, 27517, 9807, 3220, 21861, 2317, 960, 538, 3624, 585, 827, 567, 9041, 567, 1296, 563, 288, 269, 476, 273, 454, 289, 269, 476, 275, 454, 290, 269, 476, 277, 454, 291, 269, 476, 279, 454, 12585, 281, 589, 0, 454, 9223, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 8799, 2025, 1922, 5831, 539, 4009, 5556, 565, 3150, 627, 8636, 1782, 21489, 834, 536, 834, 5556, 565, 3150, 627, 8636, 1782, 2025, 1922, 5831, 539, 8799, 4009, 21489, 834, 15017, 476, 932, 7860, 281, 3097, 288, 269, 513, 454, 289, 269, 536, 454, 12585, 281, 589, 0, 9223, 281, 7085, 687, 1296, 3516, 1454, 540, 938, 3618, 729, 4988, 609, 7161, 567, 540, 4672, 269, 1452, 4672, 7161, 941, 607, 7381, 607, 1164, 5656, 538, 2413, 4872, 269, 4107, 540, 519, 4672, 729, 538, 519, 7187, 476, 851, 540, 519, 1158, 269, 3973, 519, 4672, 7161, 3323, 547, 1847, 5045, 269, 12019, 543, 4764, 3357, 609, 519, 4672, 269, 12292, 543, 1004, 1185, 547, 1847, 269, 2311, 2063, 267, 519, 4672, 3459, 547, 15835, 476, 1547, 2991, 3368, 513, 2929, 1296, 267, 1034, 540, 621, 1185, 24268, 269, 2859, 982, 3368, 540, 519, 3618, 2968, 4988, 609, 1216, 269, 634, 9041, 2968, 1454, 15911, 269, 12085, 3459, 547, 1332, 269, 634, 3618, 3459, 547, 1413, 519, 1259, 621, 5654, 2221, 269, 634, 13621, 4672, 6148, 5280, 547, 1106, 567, 9041, 476, 4586, 288, 269, 10239, 543, 23898, 454, 289, 269, 519, 3141, 267, 519, 7599, 543, 519, 3618, 454, 290, 269, 4872, 543, 2477, 454, 291, 269, 15798, 267, 12647, 543, 8933, 454, 12585, 281, 667, 0, 9223, 281, 1548, 568, 519, 1101, 2012, 540, 23266, 21619, 517, 267, 945, 11827, 1010, 1378, 6216, 540, 12511, 15777, 888, 12585, 281, 28642, 0, 454, 304, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 13470, 10537, 5545, 3635, 2025, 21489, 834, 536, 834, 2025, 13470, 10537, 5545, 3635, 21489, 834, 15017, 288, 281, 536, 0, 9223, 281, 589, 1279, 3802, 538, 519, 9390, 610, 519, 10239, 666, 581, 3078, 269, 1656, 621, 781, 513, 1390, 1259, 547, 1832, 3514, 269, 1403, 596, 4163, 513, 17895, 543, 930, 1426, 267, 596, 666, 3786, 16074, 269, 1809, 3552, 4025, 666, 581, 5906, 269, 3371, 781, 875, 596, 666, 2972, 6972, 543, 22742, 9108, 269, 6969, 707, 7552, 476, 15681, 2576, 1141, 596, 616, 2469, 543, 950, 596, 2503, 547, 2132, 269, 1403, 596, 1810, 1405, 2132, 593, 942, 267, 519, 1004, 693, 1753, 786, 917, 602, 596, 616, 4503, 610, 538, 8373, 269, 1358, 786, 917, 1141, 547, 1413, 585, 596, 269, 476, 5269, 2386, 596, 4312, 3893, 513, 1434, 4786, 540, 519, 1858, 602, 596, 2811, 2469, 547, 269, 476, 5269, 2386, 596, 4312, 14095, 519, 1318, 3937, 585, 707, 2238, 269, 634, 9390, 568, 1419, 3905, 267, 855, 17334, 666, 581, 1360, 4411, 267, 543, 3006, 972, 616, 2462, 4764, 28323, 269, 769, 519, 10239, 267, 519, 4365, 666, 1689, 10393, 269, 589, 13566, 1554, 666, 2490, 4411, 543, 31063, 3533, 269, 634, 2645, 585, 6668, 476, 590, 2426, 28904, 267, 3141, 11058, 267, 3141, 8645, 267, 2842, 16513, 29075, 267, 1434, 6972, 10887, 610, 25192, 267, 1426, 267, 1216, 267, 7851, 267, 22315, 267, 1101, 268, 4660, 6539, 267, 13292, 267, 18052, 267, 17180, 267, 2666, 6656, 267, 519, 3640, 547, 4163, 707, 3937, 269, 1548, 547, 798, 952, 596, 1205, 4503, 476, 1403, 596, 2811, 538, 513, 1286, 543, 621, 814, 7745, 1524, 267, 3251, 609, 707, 1286, 269, 476, 1403, 596, 616, 711, 10707, 676, 1286, 267, 1118, 3054, 2653, 547, 1294, 269, 589, 5365, 3595, 666, 581, 2938, 693, 3781, 269, 4438, 519, 1554, 267, 8673, 949, 581, 1031, 547, 1397, 1141, 596, 616, 269, 589, 29116, 23469, 24120, 476, 949, 948, 11324, 340, 619, 547, 1265, 596, 269, 476, 13773, 1141, 596, 616, 269, 476, 1403, 596, 3802, 585, 1022, 2601, 267, 2057, 6972, 1282, 519, 29224, 851, 540, 519, 1554, 269, 27450, 543, 10543, 6972, 568, 1732, 585, 9494, 707, 1648, 1216, 269, 476, 5901, 3054, 2476, 689, 519, 4764, 267, 2842, 543, 3141, 267, 855, 3314, 281, 2119, 547, 1118, 3054, 581, 538, 8289, 269, 1403, 649, 1205, 13676, 267, 649, 666, 3442, 567, 9041, 476, 689, 519, 1739, 2645, 563, 288, 269, 513, 2666, 6656, 454, 289, 269, 513, 1101, 5351, 6539, 454, 290, 269, 13292, 454, 291, 269, 3141, 8645, 454, 12585, 281, 645, 0, 9223, 281, 1548, 568, 519, 811, 1455, 2012, 585, 13813, 540, 23554, 686, 565, 888, 12585, 281, 25694, 7250, 30423 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2496, 5560, 264, 6904, 22402, 616, 11389, 32208, 610, 22522, 2496, 2162, 476, 277, 269, 274, 28495, 686, 7065, 531, 10414, 692, 2537, 692, 5416, 264, 589, 476, 2420, 269, 271, 10275, 326, 1126, 568, 14964, 513, 19209, 5789, 787, 30559, 15778, 602, 568, 15914, 693, 476, 2412, 269, 271, 2847, 26553, 269, 1548, 1298, 686, 7065, 531, 3196, 1590, 1352, 11851, 547, 3251, 593, 952, 1352, 568, 476, 272, 269, 1839, 544, 689, 922, 4099, 2496, 6357, 264, 1548, 1298, 686, 7065, 531, 3196, 1281, 1352, 991, 547, 3251, 593, 606, 31768, 6288, 5789, 787, 30559, 15778, 602, 29226, 693, 476, 274, 269, 876, 2847, 26553, 952, 1352, 568, 476, 279, 269, 876, 544, 689, 922, 4099, 2496, 6262, 264, 14424, 1142, 3196, 609, 1200, 2597, 780, 2190, 692, 24280, 519, 1298, 686, 7065, 531, 3196, 593, 519, 1439, 540, 513, 476, 1911, 544, 630, 31709, 264, 2842, 17081, 16405, 602, 568, 15914, 693, 476, 271, 269, 276, 2847, 4882, 269, 27539, 519, 2527, 568, 476, 275, 4846, 780, 1839, 692, 1432, 568, 519, 4998, 12948, 5086, 585, 513, 9543, 2490, 540, 476, 272, 269, 736, 5998, 8953, 593, 513, 19814, 609, 513, 476, 10755, 5998, 10774, 3432, 3970, 630, 12671, 476, 4792, 11465, 10774, 1070, 14322, 3025, 12599, 693, 519, 3970, 2496, 2918, 692, 1432, 568, 519, 4998, 3432, 547, 1491, 513, 476, 1911, 2173, 268, 31709, 7455, 4871, 539, 693, 513, 476, 736, 269, 271, 4113, 5086, 2496, 2767, 692, 5416, 264, 1548, 568, 519, 8953, 540, 513, 536, 10849, 1194, 2490, 4871, 539, 693, 476, 4037, 269, 271, 4113, 543, 3144, 693, 476, 1789, 269, 271, 544, 4882, 267, 14322, 621, 568, 23679, 4871, 539, 2496, 6357, 264, 12433, 519, 1298, 686, 7065, 531, 10231, 780, 6262, 264, 6496, 713, 10231, 3100, 1804, 547, 596, 2496, 2764, 692, 8512, 540, 14964, 513, 17919, 3322, 10709, 532, 693, 519, 2953, 5086, 950, 1818, 513, 2490, 267, 607, 2938, 538, 7612, 476, 277, 269, 3607, 269, 1677, 581, 7123, 267, 519, 3196, 25116, 676, 519, 2666, 1590, 581, 593, 513, 1899, 2469, 998, 519, 4099, 540, 8904, 269, 634, 3196, 593, 519, 17919, 8868, 666, 581, 17251, 883, 1079, 13902, 3334, 1765, 325, 9689, 6252, 547, 519, 4155, 630, 10472, 1590, 3761, 519, 1298, 686, 7065, 531, 3196, 1070, 543, 519, 7299, 3339, 3196, 630, 6518, 1590, 3160, 519, 1062, 781, 2597, 6393, 5416, 264, 8058, 602, 1269, 15184, 15184, 2450, 476, 1321, 346, 15184, 348, 2715, 4151, 630, 553, 3989, 538, 519, 4137, 264, 568, 1644, 547, 519, 3432, 1269, 341, 642, 2450, 476, 1321, 28452, 348, 2715, 4151, 543, 8953, 540, 22441, 1269, 31014, 2450, 476, 1321, 346, 337, 348, 2715, 4151, 540, 519, 2490, 538, 519, 1482, 1259, 607, 585, 606, 23679, 4871, 539, 4155, 3118, 20196, 568, 267, 1269, 15184, 815, 16009, 1107, 272, 642, 476, 273, 1315, 678, 326, 1547, 16564, 815, 16009, 1107, 272, 642, 476, 273, 1315, 678, 326, 1547, 6911, 6357, 264, 12433, 1269, 15184, 15184, 2450, 476, 1321, 346, 15184, 348, 2715, 4151, 585, 513, 476, 1321, 269, 271, 544, 4882, 2490, 540, 8953, 476, 1789, 269, 271, 544, 630, 553, 538, 513, 5198, 6393, 8201, 476, 277, 269, 3607, 589, 13770, 743, 626, 27410, 513, 2490, 593, 1377, 2666, 1590, 10709, 693, 519, 2953, 5086, 9789, 2702, 547, 798, 713, 3587, 15859, 633, 269, 634, 3196, 540, 519, 2666, 593, 519, 8868, 2115, 547, 581, 593, 513, 1899, 998, 519, 4099, 540, 8904, 269, 634, 2121, 5007, 3196, 593, 519, 1062, 568, 519, 1298, 686, 7065, 531, 3196, 269, 634, 7299, 5057, 540, 519, 3196, 593, 519, 8868, 666, 26118, 519, 2597, 540, 519, 1062, 1247, 922, 8880, 5057, 1590, 3761, 519, 1298, 686, 7065, 531, 3196, 269, 901, 1184, 7472, 513, 2078, 1851, 519, 5086, 1269, 15184, 15184, 8961, 519, 3432, 1269, 341, 341, 8961, 543, 519, 8953, 540, 22441, 1269, 31014, 259, 540, 519, 2490, 2147, 547, 602, 585, 519, 4998, 12948, 540, 4155, 1811, 563, 3066, 692, 288, 1804, 1298, 17287, 4007, 267, 899, 519, 835, 3254, 538, 7612, 476, 277, 269, 4391, 5416, 1070, 568, 1031, 547, 16616, 14971, 20691, 547, 5787, 725, 2147, 547, 1346, 4810, 538, 15177, 31782, 543, 11626, 556, 550, 1845, 780, 5416, 264, 2311, 1018, 16070, 6991, 568, 519, 1298, 686, 7065, 531, 10231, 1269, 1015, 575, 476, 1015, 575, 259, 952, 519, 31115, 568, 476, 1428, 269, 271, 544, 689, 519, 4099, 540, 10047, 2496, 6357, 264, 634, 31115, 781, 21799, 13793, 338, 593, 513, 22141, 693, 519, 1439, 540, 519, 6186, 267, 3850, 621, 547, 18711, 21286, 1282, 10047, 607, 3254, 538, 7612, 476, 277, 269, 4391, 6357, 1040, 2311, 1018, 5086, 1269, 15184, 15184, 2450, 476, 1321, 346, 15184, 348, 2715, 4151, 2630, 519, 8880, 786, 519, 21799, 13793, 950, 519, 1298, 686, 7065, 531, 10231, 568, 1269, 1015, 575, 476, 1015, 575, 259, 7790, 670, 842, 1765, 763, 6186, 7727, 1298, 686, 7065, 531, 3196, 543, 7028, 519, 2597, 540, 519, 21799, 269, 8571, 513, 1863, 1560, 6516, 540, 519, 4229, 547, 1294, 1018, 519, 5086, 1269, 15184, 15184, 2450, 476, 1321, 346, 15184, 348, 2715, 4151, 1058, 581, 780, 8201, 476, 277, 269, 4391, 630, 320, 264, 8331, 1298, 17287, 4007, 1031, 547, 1641, 27466, 525, 547, 5787, 725, 2147, 547, 1346, 4810, 538, 15177, 31782, 543, 556, 268, 550, 1845, 269, 630, 290, 13072, 281, 8331, 264, 630, 321, 264, 681, 3187, 538, 21799, 6029, 875, 519, 21799, 9187, 1824, 21286, 1282, 10047, 269, 901, 2636, 519, 2698, 3196, 25116, 593, 519, 31115, 676, 519, 21799, 547, 581, 2059, 922, 7852, 693, 782, 2053, 563, 1789, 692, 18204, 3603, 16610, 692, 2252, 513, 1286, 3217, 513, 4871, 539, 7455, 693, 1447, 982, 519, 4998, 3432, 267, 11508, 568, 2877, 547, 1832, 621, 689, 23510, 4724, 519, 3330, 540, 519, 7455, 630, 320, 1483, 1966, 593, 476, 5390, 7823, 9897, 1040, 630, 320, 264, 12433, 519, 4998, 3432, 547, 1491, 513, 476, 1911, 544, 8953, 7455, 4871, 539, 693, 476, 1428, 269, 271, 23263, 269, 630, 321, 264, 1548, 568, 519, 5934, 11664, 540, 11508, 2877, 585, 513, 19225, 2989, 9920, 547, 1491, 519, 1482, 7455, 693, 476, 736, 269, 271, 5998, 10774, 2496, 4029, 692, 17457, 16945, 1071, 7539, 723, 7299, 17787, 899, 519, 835, 3254, 538, 7612, 476, 277, 269, 4343, 269, 634, 8953, 540, 22441, 568, 4130, 693, 519, 1283, 982, 593, 519, 5011, 865, 602, 519, 18746, 1298, 686, 7065, 531, 10231, 693, 519, 1283, 786, 581, 3152, 982, 519, 10231, 1813, 547, 8904, 267, 5329, 519, 15915, 20399, 16119, 883, 741, 16295, 269, 1548, 568, 519, 3432, 540, 519, 16945, 1071, 2120, 693, 519, 1283, 540, 519, 8520, 952, 519, 8953, 540, 22441, 972, 568, 476, 1428, 269, 271, 544, 543, 519, 18746, 10231, 540, 519, 1286, 568, 476, 272, 269, 2004, 575, 2496, 8201, 476, 277, 269, 4343, 1855, 731, 1886, 11057, 17787, 616, 1031, 538, 519, 5767, 16945, 1071, 7539, 865, 602, 519, 8953, 540, 22441, 7930, 11081, 547, 513, 5934, 693, 519, 1283, 269, 901, 1797, 602, 519, 1298, 686, 7065, 531, 10231, 13976, 689, 4642, 547, 513, 5021, 693, 519, 1283, 543, 7930, 11081, 1586, 269, 589, 9764, 8520, 1131, 2014, 513, 795, 565, 1154, 1689, 538, 10231, 693, 7127, 267, 513, 19319, 4362, 1279, 3516, 538, 16456, 7455, 1374, 269, 2060, 513, 1507, 8953, 540, 22441, 693, 519, 1283, 267, 519, 1298, 686, 7065, 531, 10231, 666, 811, 3362, 581, 6854, 3152, 982, 1269, 326, 575, 259, 865, 602, 519, 15915, 798, 711, 6336, 3346, 609, 741, 16295, 6862, 798, 789, 991, 10160, 26797, 547, 1832, 873, 538, 1747, 563, 3953, 692, 4462, 516, 32208, 11778, 692, 5416, 264, 12433, 519, 5934, 11664, 540, 11508, 2877, 585, 513, 1286, 547, 21907, 606, 796, 23810, 539, 476, 2004, 269, 271, 544, 8953, 7455, 693, 476, 1789, 269, 271, 544, 4882, 780, 6357, 264, 1548, 568, 11389, 32208, 827, 519, 1267, 2496, 6262, 264, 6904, 22402, 616, 11389, 32208, 610, 22522, 2496, 2162, 476, 277, 269, 276, 6124, 2023, 781, 17629, 4521, 540, 3400, 341, 2787, 692, 3451, 692, 5416, 264, 12433, 3047, 781, 2527, 2016, 519, 10231, 1813, 547, 8904, 693, 519, 3345, 24504, 568, 1269, 280, 269, 279, 1789, 544, 4882, 3066, 269, 279, 1789, 544, 4882, 273, 2450, 476, 1321, 346, 280, 834, 1701, 834, 279, 1789, 3269, 332, 4882, 257, 678, 306, 1575, 2715, 2450, 476, 279, 346, 273, 348, 7684, 7684, 2715, 4151, 543, 519, 8953, 540, 519, 3047, 568, 476, 277, 4391, 272, 5998, 689, 4099, 547, 15393, 780, 6357, 264, 14424, 713, 609, 519, 7608, 1871, 540, 1269, 276, 269, 280, 8064, 9943, 9083, 275, 11899, 276, 269, 280, 8064, 9943, 9083, 275, 11899, 2450, 476, 1321, 346, 276, 834, 1701, 834, 280, 8064, 257, 2053, 834, 1015, 257, 678, 306, 1575, 2715, 2450, 476, 279, 346, 257, 2190, 257, 348, 7684, 834, 11899, 257, 348, 2715, 31859, 4097, 692, 5416, 264, 12433, 519, 9588, 540, 519, 10231, 1813, 547, 8904, 593, 519, 2627, 540, 3047, 1813, 547, 519, 9855, 780, 6357, 264, 12433, 519, 9588, 540, 519, 10231, 1813, 547, 8904, 693, 3047, 1813, 547, 519, 6129, 780, 6262, 264, 6875, 519, 5223, 540, 519, 9855, 781, 10231, 547, 519, 6129, 781, 543, 6085, 593, 1946, 519, 29500, 616, 15866, 1813, 547, 519, 9855, 538, 19220, 540, 713, 1297, 780, 3374, 692, 5416, 264, 1548, 568, 519, 10231, 1813, 547, 8904, 593, 519, 2627, 540, 519, 9855, 2496, 6357, 264, 2201, 519, 2627, 540, 9370, 286, 634, 2527, 540, 9370, 568, 1269, 277, 269, 275, 1240, 9943, 9083, 274, 11899, 277, 269, 275, 1240, 9943, 9083, 274, 11899, 2450, 476, 1321, 346, 277, 834, 1701, 834, 275, 1240, 257, 2053, 834, 1015, 257, 678, 306, 1575, 2715, 2450, 476, 279, 346, 257, 2537, 257, 348, 7684, 834, 11899, 257, 348, 2715, 4151, 543, 922, 8953, 568, 1269, 274, 269, 4343, 9943, 11793, 332, 274, 269, 4343, 9943, 11793, 332, 2450, 476, 1321, 346, 274, 834, 1701, 834, 4343, 257, 2053, 834, 1015, 257, 678, 306, 1575, 2715, 2450, 476, 279, 346, 277, 348, 7684, 544, 348, 2715, 31859, 3607, 692, 5416, 264, 12433, 519, 10231, 1813, 547, 8904, 593, 519, 2627, 540, 519, 6129, 780, 6357, 264, 1635, 1018, 3815, 1131, 707, 2597, 2333, 952, 596, 1223, 1796, 593, 519, 6129, 286, 8550, 2247, 602, 596, 3112, 780, 4391, 692, 763, 9855, 543, 3047, 17967, 827, 741, 1455, 4099, 540, 2527, 267, 799, 568, 4092, 827, 476, 275, 267, 10384, 5998, 689, 519, 4099, 540, 3047, 269, 901, 568, 476, 272, 267, 277, 3445, 5998, 2630, 519, 2627, 780, 5416, 264, 12433, 519, 9588, 540, 519, 10231, 1813, 547, 519, 9855, 781, 8904, 693, 602, 1448, 780, 6357, 264, 12433, 519, 9588, 540, 519, 1298, 686, 7065, 531, 10231, 540, 519, 4099, 540, 3047, 607, 621, 29226, 827, 602, 1448, 2899, 1142, 16264, 3923, 630, 12671, 476, 2767, 269, 274, 546, 264, 543, 5635, 621, 609, 519, 10231, 1336, 538, 851, 630, 320, 1040, 19410, 593, 2436, 610, 711, 789, 616, 3160, 543, 1946, 789, 1058, 610, 1058, 711, 581, 780, 4343, 692, 24169, 851, 630, 321, 264, 540, 7151, 476, 277, 269, 277, 1210, 1269, 659, 284, 341, 273, 270, 2350, 284, 341, 273, 29265, 2450, 476, 1321, 21151, 678, 8138, 2715, 2450, 476, 279, 26231, 348, 7684, 815, 341, 678, 306, 1575, 2715, 2450, 476, 279, 346, 273, 348, 7684, 1315, 337, 348, 2715, 31859, 4375, 692, 10214, 1498, 3425, 723, 1454, 1447, 2527, 982, 513, 4541, 267, 513, 1480, 1869, 11851, 338, 513, 6263, 14965, 7485, 593, 1022, 824, 1843, 602, 814, 2527, 269, 19452, 267, 513, 1480, 593, 3047, 568, 5594, 6766, 676, 519, 14965, 7485, 540, 513, 7372, 1843, 267, 899, 18347, 267, 1256, 1498, 621, 568, 1360, 2484, 2476, 780, 5416, 264, 12433, 519, 9588, 540, 519, 14965, 3196, 25116, 593, 513, 476, 275, 269, 736, 4846, 4816, 676, 513, 476, 1911, 10275, 326, 4651, 476, 271, 269, 1220, 544, 2476, 693, 4332, 1765, 515, 568, 21528, 267, 865, 646, 568, 2673, 547, 519, 1126, 780, 6357, 264, 12433, 519, 9588, 540, 519, 3196, 593, 519, 4816, 1813, 547, 18347, 952, 621, 568, 693, 922, 14191, 3845, 547, 3047, 267, 930, 1269, 277, 269, 3066, 9943, 272, 476, 271, 476, 1556, 544, 476, 277, 269, 3066, 9943, 272, 476, 271 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 454, 9223, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 1073, 333, 2135, 1190, 2895, 24191, 3043, 4837, 17511, 2915, 834, 536, 834, 17511, 2895, 24191, 4837, 1073, 333, 2135, 1190, 3043, 2915, 834, 15017, 476, 932, 7860, 281, 3097, 288, 269, 513, 454, 289, 269, 536, 454, 12585, 281, 589, 0, 9223, 281, 2368, 4898, 2685, 3860, 3096, 540, 2473, 17530, 723, 1044, 538, 519, 1158, 540, 1148, 269, 3719, 519, 1034, 11141, 835, 568, 547, 10625, 1018, 814, 1044, 4988, 909, 6185, 564, 5661, 11200, 539, 676, 606, 2473, 11920, 540, 513, 7206, 666, 1412, 512, 581, 2938, 1022, 824, 1259, 269, 2690, 1383, 267, 538, 519, 2250, 267, 10367, 941, 1419, 30465, 952, 1507, 4773, 540, 5862, 8593, 1055, 519, 17198, 476, 1547, 1452, 18203, 3112, 581, 2938, 1175, 676, 3168, 693, 519, 7206, 20193, 3217, 606, 2473, 11920, 547, 3605, 1141, 519, 18203, 723, 1044, 1500, 269, 1323, 2473, 11920, 540, 513, 7206, 568, 835, 540, 519, 1655, 2081, 547, 2995, 952, 621, 729, 2813, 676, 513, 4583, 18048, 610, 952, 621, 568, 513, 8483, 2044, 1547, 2252, 972, 568, 513, 2243, 607, 547, 2436, 606, 2025, 4487, 814, 13556, 513, 1978, 7206, 610, 711, 267, 2473, 17530, 616, 1500, 543, 3379, 547, 1346, 540, 10367, 602, 616, 1634, 547, 581, 3312, 28560, 519, 11453, 560, 15809, 567, 2073, 585, 1383, 267, 616, 3254, 547, 581, 11207, 1114, 982, 538, 824, 960, 2944, 676, 513, 1978, 7376, 267, 1287, 519, 7206, 568, 9863, 547, 581, 513, 16995, 5299, 269, 4595, 2413, 19267, 616, 2356, 1500, 689, 1114, 2326, 982, 19267, 540, 7366, 540, 1296, 3516, 267, 519, 3239, 789, 4734, 593, 606, 2473, 11920, 4670, 5654, 1114, 20136, 568, 1776, 1259, 2473, 17530, 666, 581, 1031, 547, 5544, 513, 8483, 2044, 6993, 1110, 655, 7376, 786, 2119, 547, 1118, 513, 8483, 2044, 1413, 7366, 540, 1296, 2025, 676, 7206, 18660, 642, 7568, 880, 593, 621, 610, 676, 1210, 5841, 1797, 547, 1205, 519, 642, 7568, 880, 547, 1413, 29618, 269, 2414, 519, 21736, 3750, 519, 8483, 2044, 949, 1413, 2025, 267, 855, 950, 513, 6297, 1353, 540, 519, 2473, 11920, 3239, 568, 1500, 267, 519, 9041, 568, 6654, 269, 898, 729, 1455, 1082, 1296, 3516, 585, 606, 7376, 547, 9096, 513, 7206, 267, 6430, 621, 7012, 1405, 1022, 1434, 267, 543, 5862, 513, 4625, 1114, 4605, 593, 1283, 540, 621, 269, 7775, 5159, 1131, 5862, 936, 1866, 262, 960, 4534, 527, 729, 741, 4528, 540, 9657, 11053, 1136, 606, 2473, 11920, 568, 519, 1152, 1259, 547, 1265, 856, 952, 972, 568, 513, 4605, 18284, 519, 4605, 596, 1294, 609, 707, 4064, 2529, 5568, 15882, 786, 581, 811, 5461, 538, 519, 7206, 9944, 982, 519, 835, 593, 1283, 267, 543, 786, 11177, 519, 4587, 835, 676, 2348, 519, 1283, 4494, 1928, 560, 1136, 569, 6569, 269, 4340, 547, 519, 8574, 267, 311, 17530, 616, 1031, 547, 567, 9041, 476, 4586, 288, 269, 1118, 18203, 593, 10367, 538, 519, 2250, 454, 289, 269, 2697, 519, 13597, 540, 606, 11247, 454, 290, 269, 1689, 519, 2326, 540, 513, 8483, 2044, 454, 291, 269, 4894, 519, 6691, 762, 19267, 454, 12585, 281, 645, 0, 763, 1739, 616, 2789, 3903, 2055, 630, 5976, 4267, 264, 827, 1455, 2631, 563, 9223, 281, 1677, 1286, 557, 513, 1374, 593, 547, 513, 3625, 540, 3574, 267, 596, 666, 454, 288, 269, 2422, 513, 3574, 8781, 17180, 454, 289, 269, 2422, 513, 666, 1930, 518, 454, 12585, 281, 589, 0, 454, 304, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 4189, 1007, 12308, 24388, 3697, 11381, 834, 536, 834, 1007, 24388, 3697, 12308, 4189, 11381, 834, 15017, 288, 281, 536, 0, 9223, 281, 476, 16429, 2254, 339, 5025, 3944, 17641, 568, 1034, 5461, 538, 6313, 2152, 827, 519, 5837, 13800, 540, 454, 288, 269, 2043, 563, 289, 269, 7239, 563, 290, 269, 6608, 563, 291, 269, 3885, 563, 12585, 281, 589, 0, 454, 9223, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 12308, 2025, 1922, 5831, 539, 24388, 3697, 15337, 1014, 7296, 4816, 834, 536, 834, 2025, 1922, 5831, 539, 24388, 3697, 15337, 1014, 12308, 7296, 4816, 834, 15017, 476, 932, 7860, 281, 3097, 288, 269, 513, 454, 289, 269, 536, 454, 12585, 281, 645, 0, 9223, 281, 3367, 519, 10372, 585, 1818, 606, 2296, 4633, 269, 513, 269, 18391, 693, 543, 6158, 547, 835, 1268, 538, 519, 5304, 567, 2337, 1832, 596, 2067, 267, 855, 621, 7959, 18174, 880, 6158, 547, 1152, 835, 1268, 269, 28423, 547, 602, 1268, 607, 1279, 607, 476, 1428, 7643, 543, 1287, 1689, 1776, 835, 269, 536, 269, 634, 5304, 723, 513, 2182, 942, 1620, 1018, 789, 5873, 269, 1358, 991, 707, 948, 269, 20405, 1524, 267, 23249, 476, 543, 3391, 519, 5304, 998, 707, 2911, 269, 5457, 602, 596, 1058, 948, 519, 5304, 1174, 1018, 596, 616, 6031, 269, 524, 269, 5269, 707, 5639, 513, 2370, 2539, 982, 3339, 269, 19415, 619, 899, 547, 6432, 547, 513, 5266, 476, 2620, 5639, 269, 546, 269, 1879, 596, 2911, 267, 2119, 547, 581, 607, 2067, 607, 2009, 269, 5213, 1405, 2119, 547, 27655, 707, 1913, 543, 1224, 610, 973, 924, 476, 873, 547, 707, 5304, 269, 1411, 666, 946, 2110, 4967, 547, 948, 596, 3314, 519, 1271, 2798, 269, 552, 269, 1411, 1058, 917, 596, 543, 1034, 540, 519, 1004, 596, 2911, 547, 616, 1114, 538, 1082, 2081, 269, 2368, 540, 873, 949, 711, 917, 1018, 596, 616, 6158, 827, 269, 3973, 3717, 547, 873, 593, 741, 2474, 543, 538, 741, 4654, 269, 535, 269, 24517, 3433, 593, 1018, 596, 1616, 547, 2161, 269, 1403, 596, 616, 2141, 9878, 3007, 547, 17267, 2073, 9767, 786, 1745, 13943, 269, 575, 269, 898, 781, 3020, 602, 972, 616, 930, 3604, 1063, 1977, 2296, 543, 3703, 2296, 267, 855, 789, 3513, 711, 2014, 1454, 7411, 585, 19700, 267, 865, 1175, 3717, 519, 1259, 596, 2811, 1031, 547, 269, 7994, 513, 19583, 585, 1142, 540, 519, 1739, 1053, 2687, 547, 741, 2042, 269, 6754, 281, 594, 1810, 1405, 1589, 594, 666, 2911, 2770, 1836, 476, 1317, 621, 781, 2352, 585, 803, 547, 3314, 782, 519, 1913, 563, 288, 269, 513, 454, 289, 269, 536, 454, 290, 269, 524, 454, 291, 269, 546, 454, 12585, 281, 667, 0, 9223, 281, 769, 22767, 3495, 19435, 596, 949, 581, 6035, 12058, 547, 3548, 269, 674, 2431, 2989, 286, 1411, 12582, 1405, 581, 1317, 891, 12058, 616, 1152, 513, 1426, 267, 799, 568, 4583, 585, 922, 8966, 2012, 543, 3638, 6484, 1547, 476, 4858, 1231, 607, 513, 1426, 941, 11827, 811, 982, 476, 4968, 1296, 3516, 676, 17540, 22767, 267, 606, 7376, 4171, 3993, 1185, 1044, 2192, 585, 513, 1279, 942, 269, 1677, 948, 1200, 1831, 1134, 267, 646, 6594, 4915, 543, 11827, 513, 2186, 540, 17339, 1500, 540, 5779, 267, 5388, 543, 513, 1297, 540, 4457, 11955, 269, 19676, 29879, 729, 849, 1031, 538, 519, 17339, 547, 10826, 10108, 3361, 676, 2025, 2085, 269, 2991, 2921, 519, 17339, 1010, 3993, 3893, 1732, 2370, 676, 2370, 543, 5030, 513, 1279, 1272, 269, 476, 17540, 781, 17339, 2968, 519, 2911, 540, 519, 4884, 269, 3509, 1004, 3357, 547, 1294, 1864, 269, 2290, 1554, 513, 13962, 8227, 4280, 1864, 1018, 729, 538, 519, 17339, 269, 834, 296, 3513, 2995, 596, 267, 834, 17540, 1767, 267, 834, 8117, 952, 707, 13962, 568, 2469, 547, 6133, 519, 17339, 267, 596, 1590, 1289, 621, 12058, 1317, 540, 922, 3337, 543, 7990, 269, 1656, 707, 13962, 1058, 581, 26948, 1310, 1250, 3993, 269, 834, 6969, 17540, 5143, 519, 13962, 8227, 1018, 729, 538, 519, 1426, 267, 646, 18796, 602, 567, 9041, 476, 4586, 288, 269, 519, 13962, 12582, 1405, 2709, 1022, 824, 1426, 454, 289, 269, 519, 13962, 1058, 946, 1010, 3993, 781, 2012, 454, 290, 269, 519, 3337, 540, 519, 1426, 1058, 2760, 581, 4957, 454, 291, 269, 519, 1426, 1058, 581, 1031, 547, 948, 7210, 1004, 454, 12585, 281, 645, 0, 454, 9223, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 12357, 7372, 13711, 14328, 6739, 2780, 834, 536, 834, 12357, 7372, 14328, 13711, 6739, 2780, 834, 15017, 476, 932, 7860, 281, 3097, 288, 269, 513, 454, 289, 269, 536, 454, 12585, 281, 645, 0, 9223, 281, 6904, 540, 519, 1739, 1655, 6257, 562, 665, 823, 696, 633, 1928, 888, 288, 269, 10266, 4611, 689, 4890, 610, 1761, 5160, 3441, 267, 799, 3123, 519, 5305, 540, 3114, 18657, 2209, 602, 12954, 8229, 26939, 547, 20006, 1928, 6786, 547, 519, 2634, 563, 289, 269, 10266, 4611, 689, 2604, 2390, 513, 8229, 610, 1895, 540, 13285, 563, 290, 269, 589, 4524, 540, 513, 1808, 8229, 610, 1895, 540, 13285, 4611, 538, 519, 5305, 540, 9402, 1928, 6786, 563, 291, 269, 10266, 4611, 689, 513, 4524, 540, 519, 3844, 8401, 1062, 267, 1775, 4318, 269, 1739, 513, 19548, 15466, 8009, 563, 12585, 281, 589 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7540, 3548, 1919, 602, 6492, 899, 5779, 888, 2026, 811, 1004, 9772, 513, 17154, 6197, 267, 519, 4161, 540, 4466, 17598, 543, 8949, 31431, 585, 5779, 8286, 814, 1831, 5051, 1271, 269, 2755, 1082, 1004, 3442, 547, 979, 17154, 585, 5683, 610, 1072, 4128, 267, 519, 6492, 543, 9403, 540, 5779, 568, 1419, 513, 2352, 3364, 547, 2285, 909, 269, 18641, 267, 609, 513, 2370, 1702, 543, 5876, 267, 621, 568, 2009, 547, 1711, 17154, 10346, 543, 8286, 602, 17932, 519, 6492, 543, 9403, 540, 2757, 5779, 8286, 269, 769, 713, 2376, 267, 649, 786, 2263, 1114, 2081, 547, 3035, 713, 543, 1683, 4388, 543, 10346, 585, 1818, 17154, 8286, 602, 6492, 899, 5779, 563, 31738, 1948, 272, 281, 2422, 29133, 15240, 13699, 454, 293, 820, 16469, 267, 513, 2165, 1031, 585, 14475, 2472, 4421, 538, 707, 2199, 2344, 610, 17365, 4558, 602, 17932, 803, 320, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 2910, 19170, 1315, 16930, 23123, 1315, 4937, 1315, 715, 7491, 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, 4495, 2390, 513, 942, 267, 538, 513, 1507, 8498, 2282, 519, 17578, 822, 334, 11094, 9351, 538, 15057, 267, 5030, 1614, 1655, 2828, 910, 631, 2088, 519, 24564, 267, 700, 21343, 519, 17794, 612, 267, 543, 918, 1993, 328, 519, 29588, 269, 1358, 6068, 3695, 741, 18932, 3039, 1753, 2407, 540, 7381, 4054, 267, 23090, 8933, 267, 543, 782, 5686, 540, 2831, 269, 1809, 835, 1554, 267, 789, 8068, 1945, 9490, 1107, 972, 941, 7864, 543, 7864, 19246, 1472, 2439, 300, 2088, 267, 700, 21343, 267, 543, 918, 1993, 328, 4956, 547, 979, 593, 606, 7045, 547, 1265, 856, 1018, 729, 8345, 269, 13966, 519, 1259, 267, 789, 1558, 681, 9734, 28266, 267, 945, 5143, 873, 827, 875, 1004, 1185, 1044, 2921, 811, 2230, 585, 2933, 267, 6028, 1447, 4055, 585, 519, 19246, 547, 887, 600, 11884, 269, 2701, 6045, 602, 19246, 991, 6266, 540, 2230, 1317, 789, 616, 1804, 11864, 1572, 1412, 615, 321, 643, 2803, 3299, 2495, 789, 1152, 3548, 2371, 780, 291, 17827, 547, 948, 267, 519, 2468, 334, 4121, 827, 513, 1895, 1572, 594, 30002, 630, 17220, 5742, 585, 11094, 540, 7186, 1040, 2060, 681, 9734, 28266, 781, 5583, 267, 789, 4362, 602, 594, 30002, 1185, 24574, 1229, 609, 17137, 543, 519, 8230, 12505, 2229, 547, 1020, 513, 2027, 1544, 547, 2149, 1312, 519, 27142, 262, 5321, 543, 519, 1271, 7226, 585, 19246, 269, 1635, 2324, 1927, 267, 3025, 1223, 4324, 1107, 1256, 1346, 8949, 2030, 6980, 1131, 2611, 2922, 2094, 6126, 19246, 1810, 1405, 3441, 4054, 899, 29043, 3283, 1522, 2439, 2026, 938, 12703, 2828, 4797, 1565, 827, 5726, 3646, 267, 789, 1336, 1776, 3078, 1383, 269, 769, 30152, 12868, 267, 594, 30002, 729, 21528, 11570, 7231, 609, 7526, 1063, 3425, 543, 19246, 538, 5681, 21358, 269, 4635, 3860, 3435, 899, 31625, 14723, 31966, 543, 26776, 4992, 267, 594, 30002, 6026, 1004, 875, 547, 1832, 8049, 19246, 689, 10024, 11396, 1510, 31362, 891, 9543, 23766, 610, 4929, 11605, 1851, 2901, 2249, 780, 9617, 950, 1919, 8604, 29014, 267, 2705, 267, 631, 2088, 267, 700, 21343, 267, 543, 918, 1993, 328, 5185, 513, 26648, 6602, 1394, 538, 741, 1378, 8498, 281, 930, 1007, 5656, 1958, 549, 3737, 593, 519, 6967, 4104, 1141, 1082, 2831, 5030, 256, 898, 18056, 873, 602, 1247, 3356, 666, 3142, 1434, 2242, 267, 649, 1590, 2141, 2015, 2470, 1932, 269, 9282, 521, 5417, 2989, 267, 789, 12247, 539, 547, 2671, 741, 1702, 543, 8300, 1866, 2509, 15826, 2208, 267, 1620, 602, 3006, 2182, 4245, 1291, 721, 6251, 547, 10103, 1063, 3425, 543, 2470, 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, 29205, 596, 1683, 1806, 540, 3811, 5726, 3785, 8045, 676, 594, 30002, 538, 519, 2063, 8717, 888, 8133, 267, 1934, 616, 513, 1906, 1806, 540, 3811, 5726, 3785, 8045, 676, 594, 30002, 538, 519, 2063, 8717, 281, 8528, 272, 269, 30540, 519, 17502, 582, 571, 5246, 28396, 281, 594, 30002, 267, 538, 11450, 609, 519, 29874, 328, 2229, 267, 3177, 2930, 6351, 543, 7616, 547, 3715, 519, 17502, 582, 571, 5246, 28396, 607, 513, 20648, 2622, 11595, 13505, 538, 476, 1220, 279, 269, 901, 3366, 547, 2799, 4027, 540, 519, 2189, 18508, 543, 21426, 540, 519, 10195, 267, 1519, 519, 11599, 15743, 781, 1973, 3529, 269, 8528, 273, 269, 20985, 2359, 540, 17578, 822, 334, 11094, 9351, 538, 15057, 281, 594, 30002, 5249, 609, 2199, 2950, 543, 2229, 8041, 547, 1020, 513, 10319, 2359, 1544, 585, 17578, 822, 334, 11094, 9351, 267, 799, 6227, 936, 476, 2420, 267, 1822, 4009, 12919, 540, 2244, 269, 901, 1788, 5059, 593, 5355, 1883, 5726, 10832, 971, 607, 17707, 5095, 267, 543, 849, 5280, 547, 5818, 519, 2199, 4346, 998, 3235, 582, 24397, 269, 8528, 274, 269, 14600, 580, 908, 1480, 3887, 548, 11244, 4655, 538, 5681, 21358, 281, 594, 30002, 24574, 10640, 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, 3848, 476, 1015, 281, 4197, 28015, 1143, 281, 4706, 8177, 593, 19004, 692, 5331, 24971, 909, 835, 1554, 547, 1265, 856, 602, 707, 5172, 4558, 814, 1044, 10032, 676, 2576, 945, 9969, 4181, 609, 513, 3375, 1500, 676, 519, 2229, 269, 1215, 798, 596, 1589, 713, 786, 1860, 519, 6300, 8227, 267, 741, 5520, 267, 543, 1256, 596, 286, 901, 3184, 786, 948, 721, 1174, 875, 18483, 666, 1764, 938, 3232, 2729, 267, 3226, 938, 4346, 780, 307, 19587, 1143, 568, 950, 1004, 946, 5208, 610, 6937, 547, 2014, 4250, 543, 2800, 1866, 1317, 789, 10990, 609, 1978, 4978, 267, 4507, 267, 610, 3527, 269, 2755, 649, 1419, 5873, 827, 519, 7525, 2360, 540, 22681, 6285, 971, 607, 2530, 540, 1272, 543, 3959, 3441, 267, 972, 616, 849, 1279, 3856, 2804, 4539, 602, 666, 2063, 585, 1296, 1310, 606, 4323, 269, 2913, 781, 2263, 930, 540, 891, 5222, 1927, 780, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 4002, 4873, 476, 866, 476, 13199, 276, 267, 513, 1007, 5736, 546, 1177, 2740, 799, 1131, 1439, 909, 13321, 519, 1158, 269, 5246, 29989, 18999, 2023, 3803, 2213, 513, 3561, 540, 476, 8287, 21291, 2854, 538, 5824, 547, 1118, 4708, 1063, 519, 3751, 543, 513, 7047, 601, 540, 31111, 2296, 3046, 976, 269, 898, 5555, 6264, 325, 9312, 519, 2296, 9291, 540, 7126, 267, 519, 2413, 5126, 1062, 267, 519, 3943, 7126, 540, 2494, 267, 519, 2475, 16672, 540, 14412, 267, 519, 8225, 25943, 540, 7126, 543, 6154, 539, 1682, 267, 543, 519, 6167, 781, 16672, 540, 5274, 7126, 563, 19177, 3312, 12215, 1869, 2291, 2221, 281, 4179, 2517, 4178, 269, 4565, 16896, 8276, 1725, 320, 2275, 21840, 270, 14895, 8276, 1725, 320, 2275, 21840, 268, 1263, 1501, 20675, 3175, 258, 563, 3963, 12984, 898, 21829, 888, 763, 4279, 25943, 1705, 1945, 9058, 585, 922, 942, 269, 898, 10294, 519, 3933, 1105, 729, 711, 540, 513, 834, 15965, 710, 257, 1268, 320, 267, 543, 606, 8723, 1268, 896, 519, 4521, 282, 1287, 621, 13006, 519, 2924, 543, 23118, 540, 1863, 2367, 563, 16449, 519, 476, 8287, 21291, 267, 519, 17083, 540, 2924, 3769, 912, 268, 634, 5191, 540, 519, 5783, 547, 1528, 922, 1378, 8387, 3248, 268, 634, 10654, 540, 15490, 270, 629, 15133, 9204, 267, 543, 15360, 1354, 26550, 3539, 1007, 3283, 3248, 268, 634, 929, 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, 31664, 540, 28015, 1143, 257, 607, 851, 540, 834, 303, 27773, 13316, 1315, 28015, 1143, 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, 2221, 781, 3059, 2085, 267, 5907, 6602, 267, 4122, 5219, 547, 607, 552, 22523, 267, 814, 1831, 606, 1898, 2460, 540, 25036, 543, 7634, 3157, 269, 901, 1106, 540, 2963, 11018, 3322, 7114, 267, 10655, 267, 8497, 267, 10478, 267, 543, 6721, 6475, 1227, 6740, 1344, 630, 2464, 296, 264, 602, 666, 581, 1031, 538, 5480, 18659, 269, 2060, 3875, 1164, 3491, 12803, 14590, 13685, 1818, 24657, 5001, 267, 621, 568, 2629, 585, 3656, 4648, 547, 1174, 875, 552, 22523, 1568, 543, 875, 547, 6330, 1761, 2591, 2404, 609, 713, 1184, 269, 901, 3184, 12538, 883, 1585, 3344, 540, 552, 22523, 267, 1210, 519, 23968, 5622, 256, 1239, 21556, 10071, 5018, 538, 519, 4367, 607, 513, 20457, 780, 296, 269, 22384, 543, 14635, 540, 661, 10485, 692, 763, 8446, 543, 4015, 5123, 4125, 29466, 4143, 661, 10485, 543, 13830, 621, 538, 513, 2062, 985, 1227, 3280, 6073, 269, 13751, 6887, 1590, 960, 5702, 609, 8668, 10986, 547, 2327, 602, 782, 5732, 4143, 1239, 2959, 616, 4857, 267, 1519, 15737, 267, 12240, 267, 1514, 2923, 5867, 267, 6531, 4859, 2533, 267, 543, 824, 3059, 7221, 269, 4495, 891, 2959, 723, 1044, 22942, 539, 267, 7463, 2645, 543, 2553, 1058, 581, 6964, 547, 2445, 519, 1239, 1510, 19249, 922, 3312, 1533, 610, 18731, 922, 8699, 780, 1103, 519, 2013, 540, 519, 23968, 5622, 256, 1239, 21556, 267, 22602, 1131, 991, 547, 2697, 20743, 267, 1062, 19383, 267, 543, 824, 661, 10485, 602, 1223, 8774, 1769, 593, 875, 519, 21556, 7018, 267, 1018, 1949, 941, 4299, 267, 543, 799, 3755, 262, 1239, 729, 19847, 269, 631, 2045, 592, 748, 12319, 540, 1169, 1900, 538, 713, 1184, 5849, 602, 6394, 2963, 786, 581, 8098, 24777, 538, 5480, 543, 15387, 519, 5832, 540, 26692, 2838, 676, 10423, 10706, 3652, 780, 2862, 269, 27264, 540, 661, 10485, 692, 15430, 6326, 661, 10485, 568, 2565, 547, 2061, 838, 565, 2747, 9789, 18532, 610, 18621, 550, 9552, 267, 27327, 267, 610, 2530, 540, 2963, 269, 1879, 5185, 609, 4890, 610, 17191, 25036, 267, 3906, 1590, 2936, 513, 3656, 3180, 547, 8190, 1022, 4143, 661, 10485, 602, 1522, 581, 2877, 585, 2104, 946, 538, 519, 2013, 269, 674, 9430, 547, 798, 865, 666, 1267, 538, 24476, 1996, 519, 3919, 543, 1711, 1713, 4220, 950, 9306, 741, 2013, 780, 28274, 713, 1523, 547, 519, 23968, 5622, 256, 1239, 21556, 267, 2899, 519, 2754, 2968, 3222, 540, 519, 31593, 267, 789, 1058, 723, 5612, 8045, 513, 3656, 3180, 593, 782, 5732, 4143, 661, 10485, 1644, 547, 519, 21556, 269, 23299, 547, 1491, 971, 3800, 1223, 1291, 547, 6811, 540, 838, 565, 2747, 952, 22317, 2963, 941, 2663, 1336, 547, 581, 7508, 610, 12012, 780, 7656, 269, 14409, 543, 5623, 540, 661, 10485, 692, 5475, 10655, 543, 8497, 661, 10485, 267, 3656, 6887, 1590, 1184, 543, 2689, 519, 1239, 547, 3313, 10083, 543, 17979, 269, 4438, 4393, 267, 6151, 661, 10485, 25457, 1896, 14759, 267, 1519, 7503, 547, 513, 811, 3015, 3898, 267, 632, 268, 706, 6473, 267, 543, 3498, 540, 3406, 2474, 269, 11374, 4393, 267, 27192, 2689, 519, 4611, 6054, 547, 2708, 2436, 789, 2270, 4143, 1344, 610, 616, 6870, 676, 18607, 12641, 1304 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4543, 1367, 6267, 609, 741, 1808, 1966, 2127, 269, 1261, 568, 2111, 547, 4142, 6510, 519, 942, 547, 2743, 14350, 609, 1053, 267, 547, 979, 998, 519, 2055, 602, 13934, 873, 519, 1034, 269, 1261, 4967, 602, 2462, 8039, 540, 11400, 4043, 547, 581, 1932, 3376, 585, 1034, 1053, 547, 2744, 1022, 1483, 1871, 689, 267, 8259, 1034, 1053, 1500, 519, 1482, 9073, 563, 3528, 519, 942, 1053, 1205, 547, 519, 2034, 981, 267, 789, 723, 513, 1732, 1620, 540, 875, 547, 1935, 543, 2626, 2055, 267, 855, 14076, 2465, 341, 1869, 22939, 513, 2603, 540, 942, 4758, 5955, 269, 6884, 267, 950, 2469, 998, 519, 4267, 609, 1864, 267, 1053, 6542, 602, 789, 6785, 1018, 519, 3070, 547, 513, 1966, 1303, 9229, 855, 1185, 8373, 11744, 543, 14379, 621, 269, 14076, 2465, 341, 786, 1039, 3606, 2798, 547, 741, 9344, 952, 519, 1053, 6542, 3152, 1620, 982, 729, 28078, 538, 519, 981, 269, 634, 3803, 981, 568, 1034, 3810, 22051, 267, 855, 621, 814, 519, 5207, 9344, 269, 1635, 519, 1439, 540, 519, 1576, 267, 1053, 616, 8746, 538, 741, 2702, 547, 4019, 519, 1344, 543, 1118, 4143, 4296, 543, 741, 2773, 9356, 713, 563, 7212, 646, 2488, 513, 2603, 540, 5955, 547, 1053, 267, 14076, 2465, 341, 849, 1592, 839, 547, 1053, 685, 5955, 585, 1864, 269, 6884, 267, 646, 8098, 1080, 602, 2055, 616, 711, 2262, 539, 607, 5693, 607, 2009, 267, 865, 646, 13290, 547, 6439, 1518, 713, 269, 1261, 849, 16111, 10607, 519, 1239, 543, 2200, 3177, 593, 11400, 563, 1607, 1576, 1281, 711, 1152, 948, 1053, 1020, 741, 7998, 1983, 267, 855, 849, 741, 1353, 1983, 543, 741, 2702, 547, 4019, 741, 1702, 269, 1677, 2626, 891, 2055, 267, 789, 723, 547, 1174, 543, 946, 519, 1543, 538, 2620, 2081, 269, 4841, 723, 513, 1434, 15977, 540, 7998, 1702, 547, 4019, 538, 741, 2417, 2259, 269, 14076, 2465, 341, 7959, 602, 1010, 6859, 543, 3853, 585, 519, 1576, 616, 2356, 1558, 269, 9906, 2773, 593, 11400, 10607, 7494, 2429, 519, 1576, 267, 2356, 676, 693, 2547, 476, 1015, 18336, 10743, 5660, 519, 2179, 540, 942, 602, 14076, 2465, 341, 4142, 545, 919, 547, 10531, 1489, 543, 5955, 269, 1261, 8098, 1080, 602, 1082, 824, 16929, 616, 711, 2111, 547, 4142, 6510, 607, 1454, 942, 607, 646, 568, 547, 5870, 14350, 609, 1053, 267, 855, 7512, 1866, 547, 2119, 547, 1265, 2081, 547, 2123, 1125, 5955, 269, 634, 1995, 538, 519, 1576, 568, 2318, 1317, 972, 568, 606, 8561, 593, 1565, 269, 14076, 2465, 341, 3810, 15565, 2348, 2789, 2597, 902, 585, 11400, 1317, 621, 2306, 519, 11400, 513, 6422, 1565, 1184, 267, 2864, 982, 2582, 267, 14805, 894, 2621, 269, 1261, 814, 1336, 621, 547, 581, 513, 2241, 855, 2500, 1259, 547, 948, 1053, 1445, 593, 6454, 936, 942, 563, 10112, 20156, 8865, 5530, 910, 30487, 4841, 538, 4469, 5792, 7177, 4147, 7741, 454, 10112, 20156, 8865, 5530, 910, 21278, 24720, 19662, 538, 8535, 0, 10521, 3744, 689, 519, 2160, 540, 15930, 723, 22041, 513, 5958, 602, 568, 5827, 540, 1312, 9023, 519, 1560, 543, 32229, 922, 3002, 563, 7804, 269, 24204, 295, 340, 836, 15651, 543, 744, 8500, 836, 3687, 3494, 713, 568, 519, 1101, 19135, 547, 8850, 1689, 3601, 547, 15972, 610, 5305, 3002, 4470, 593, 2175, 269, 1358, 4076, 2919, 713, 5958, 689, 513, 10991, 20612, 609, 513, 968, 21666, 31407, 4209, 15098, 1848, 901, 15098, 568, 15181, 676, 2837, 543, 11195, 269, 898, 13847, 3002, 538, 3636, 18519, 2175, 543, 20637, 3002, 950, 2175, 616, 3579, 543, 3819, 563, 2691, 519, 11103, 540, 713, 1007, 1570, 616, 4411, 267, 789, 4579, 543, 2786, 523, 269, 1358, 9395, 523, 909, 883, 3592, 6650, 2365, 13471, 269, 1809, 538, 519, 4527, 540, 7509, 543, 3002, 267, 789, 4228, 543, 2112, 335, 269, 901, 5932, 513, 968, 326, 908, 5114, 2223, 3850, 519, 3002, 543, 7509, 547, 9101, 563, 6624, 513, 17199, 814, 1044, 593, 29862, 338, 267, 8876, 513, 5230, 3640, 269, 4438, 3350, 267, 519, 1560, 646, 1846, 909, 543, 1086, 335, 2231, 269, 3973, 267, 950, 2921, 513, 12597, 610, 3478, 538, 519, 12155, 2990, 267, 519, 1560, 3579, 338, 1524, 269, 634, 24852, 13515, 267, 855, 519, 17199, 568, 2451, 695, 1853, 532, 568, 865, 1136, 2914, 564, 7802, 269, 1849, 5847, 1500, 689, 713, 1007, 5958, 14767, 547, 581, 513, 10971, 754, 563, 763, 3163, 291, 2905, 2593, 2376, 799, 9307, 713, 1007, 1646, 1500, 519, 1739, 3948, 269, 968, 8601, 5756, 540, 5647, 538, 17234, 609, 1164, 24289, 8143, 3601, 602, 1832, 2261, 25070, 28359, 3579, 610, 620, 18090, 554, 1731, 619, 3636, 267, 972, 814, 2760, 1044, 513, 1570, 602, 2242, 922, 32229, 3601, 538, 3210, 547, 519, 1604, 269, 19402, 1631, 3034, 1607, 568, 606, 5863, 9740, 269, 1717, 267, 4930, 899, 713, 26777, 519, 2257, 602, 814, 2907, 8854, 883, 938, 1560, 779, 2067, 8720, 1765, 712, 2960, 269, 3776, 2960, 15824, 713, 1482, 1599, 540, 22243, 3467, 326, 1637, 269, 1879, 938, 4703, 936, 17742, 1079, 1919, 1491, 1747, 538, 938, 2960, 1765, 338, 933, 908, 543, 21729, 617, 7976, 269, 634, 1973, 8043, 9944, 519, 2960, 1930, 909, 547, 948, 5305, 519, 1560, 779, 3002, 269, 9578, 267, 519, 17570, 15374, 5305, 17570, 267, 799, 3579, 338, 938, 2960, 607, 621, 18493, 919, 563, 10190, 267, 950, 519, 1604, 3579, 338, 267, 1945, 1572, 21729, 27019, 560, 9689, 3217, 1747, 269, 634, 1973, 8043, 9944, 519, 2960, 1526, 2774, 267, 28142, 519, 2095, 540, 1973, 547, 519, 2960, 547, 2226, 519, 1560, 779, 4295, 2837, 269, 634, 1560, 849, 12958, 3002, 998, 695, 1853, 532, 607, 1134, 607, 998, 519, 11178, 779, 5305, 540, 10399, 547, 3432, 909, 10307, 269, 1403, 10995, 543, 20982, 4674, 4682, 883, 713, 5863, 1007, 5958, 267, 4769, 1406, 789, 849, 979, 883, 519, 2960, 602, 6227, 938, 4703, 888, 2690, 930, 9490, 2601, 267, 1004, 8263, 602, 952, 2257, 666, 17932, 610, 26134, 513, 1950, 1184, 538, 519, 2978, 602, 649, 4076, 1101, 4767, 538, 2470, 267, 1287, 8103, 814, 9863, 602, 2696, 568, 11991, 269, 1284, 8263, 602, 968, 14396, 814, 8719, 2696, 3034, 1692, 29749, 666, 649, 581, 286, 3163, 814, 711, 8719, 2696, 269, 3163, 814, 598, 13254, 7152, 602, 606, 5863, 2179, 540, 4987, 814, 8854, 883, 782, 519, 1950, 1374, 2934, 540, 782, 2713, 1919, 269, 4329, 267, 2257, 814, 7152, 602, 4986, 1134, 268, 23912, 543, 1950, 2479, 2164, 689, 2247, 1652, 267, 688, 874, 1794, 731, 3157, 269, 898, 3217, 12058, 267, 3206, 267, 543, 513, 2603, 540, 20982, 960, 547, 3132, 1344, 543, 2029, 269, 1656, 938, 2067, 1158, 705, 2432, 609, 1344, 543, 2029, 563, 18744, 519, 12808, 6457, 540, 938, 29763, 1223, 3132, 519, 5318, 543, 1950, 1979, 14459, 540, 713, 4541, 269, 1656, 1152, 1261, 666, 1832, 621, 782, 2469, 269, 3807, 1589, 540, 707, 1378, 1560, 269, 1215, 1454, 540, 621, 798, 596, 29596, 4383, 286, 15020, 2370, 269, 7183, 540, 721, 814, 547, 2285, 513, 2219, 547, 1818, 938, 12271, 10726, 476, 12893, 267, 1822, 2053, 1142, 1554, 269, 1809, 621, 4523, 1765, 22336, 1554, 269, 634, 2295, 11179, 15450, 835, 543, 513, 3368, 17529, 540, 1973, 998, 476, 2568, 267, 1822, 5195, 540, 15532, 267, 16209, 267, 543, 1698, 650, 2456, 563, 14085, 540, 721, 1590, 5855, 827, 519, 6668, 540, 519, 476, 4391, 269, 276, 18265, 2281, 602, 1118, 909, 1142, 540, 938, 4703, 269, 7439, 798, 649, 991, 547, 3314, 547, 11375, 1446, 543, 17938, 1446, 269, 7183, 540, 721, 814, 547, 1589, 827, 7558, 532, 519, 1426, 538, 938, 7181, 338, 267, 610, 4180, 602, 922, 5567, 616, 12842, 676, 519, 1964, 540, 519, 1560, 269, 1284, 723, 1100, 1852, 936, 519, 3252, 540, 938, 14401, 267, 838, 22220, 267, 6797, 267, 543, 2634, 563, 293, 6136, 267, 2368, 7853, 2484, 811, 5827, 982, 1022, 540, 721, 568, 5883, 621, 782, 593, 938, 15773, 269, 2696, 30128, 585, 621, 782, 267, 24491, 8393, 543, 5132, 2685, 267, 1317, 1261, 14560, 721, 269, 1261, 15081, 9529, 519, 2497, 540, 1169, 11140, 602, 2306, 909, 938, 1560, 1765, 810, 602, 649, 666, 979, 827, 519, 4305, 540, 2713, 267, 15962, 267, 543, 7674, 563, 3891, 3217, 1416, 540, 782, 1346, 3877, 865, 602, 649, 786, 711, 581, 26531, 689, 519, 1034, 1271, 4305, 540, 782, 1765, 5765, 547, 917, 13924, 13948, 269, 968, 1607, 568, 18163, 1272, 2223, 4906, 10294, 267, 968, 1729, 917, 1411, 9789, 1152, 3020, 2696, 11652, 4906, 2441, 7247, 1411, 723, 2366, 892, 630, 11990, 476, 1704, 281, 274, 1040, 968, 6826, 3835, 267, 594, 1796, 693, 519, 7450, 543, 22545, 2223, 1767, 4906, 269, 968, 2252, 4896, 10741, 519, 7450, 267, 594, 786, 2097, 883, 1864, 543, 723, 31776, 609, 1864, 543, 646, 609, 2725, 892, 630, 3725, 341, 269, 476, 274, 281, 736, 1040, 4906, 3217, 1416, 540, 519, 959, 650, 687, 540, 3877, 540, 938, 6228, 543, 6668, 267, 865, 602, 649, 949, 2285, 13924, 938, 2295, 267, 9997, 267, 543, 10715, 14336, 4800, 563, 32091, 7083, 4906, 267, 594, 4076, 1044, 865, 21933, 643, 1190, 547, 519, 25736, 543, 13300, 602, 6445, 1250, 1272, 1765, 718, 540, 799, 1411, 723, 11884, 2016, 803, 269, 1809, 7083, 267, 594, 849, 11760, 602, 1250, 1272, 814, 513, 10143, 3483, 269, 1280, 1411, 1500, 803, 5827, 540, 25055, 609, 2696, 269, 1411, 1032, 333, 585, 1250, 2754, 543, 31776, 269, 8616, 5103, 782, 519, 25736, 1411, 4076, 2016, 803, 267, 594, 4076, 15763, 873, 269, 1937, 560, 540, 782, 267, 594, 4076, 16053, 1411, 269, 7083, 267, 594, 1810, 1406, 1616, 547, 11716, 1411, 1022, 3476, 269, 1924, 267, 607, 1454, 607, 594, 917, 875, 267, 594, 1930, 1250, 2295, 547, 1411, 269, 7490, 267, 2097, 883, 1250, 2295, 269, 5269, 1250, 2295, 2659, 1753, 269, 1280, 326, 633, 543, 2973, 572, 782, 1250, 21359, 269, 1261, 531, 1250, 9997, 543, 1118, 803, 513, 6216, 1007, 1268, 593, 519, 3330, 269, 16440, 803, 267, 15210, 7083, 594, 7281, 267, 543, 948, 803, 547, 2661, 8754, 1721, 628, 585, 1411, 269, 2549, 523, 563, 22033, 689, 281, 8940, 4732, 857, 10642, 2905, 2593, 22812, 548, 1162, 270, 1001, 280, 270, 6349, 270, 5002, 21709, 16318, 26237, 21867, 454, 1103, 2376, 8666, 281, 13262, 1744, 2393, 676, 519, 772, 2529, 269, 8136, 13931, 896, 16671, 15760, 476, 273, 269, 271, 454, 306, 14269, 704, 543, 13662, 291, 3068, 11325, 676, 519, 772, 2529, 269, 3057, 1149, 13931, 896, 772, 2529, 269, 29583, 339, 269, 4518, 0, 2467, 568, 513, 11556, 547, 16245, 513, 18533, 540, 4427, 327, 1662, 932, 18588, 645, 846, 693, 519, 3127, 19835, 543, 267, 4397, 569, 267, 972, 616, 5717, 827, 621, 269, 1703, 616, 1346, 945, 1294, 519, 18541, 540, 645, 846, 543, 1287, 972, 616, 1866, 945, 1294, 513, 3673, 626, 538, 1864, 5275, 13303, 1489, 269, 769, 519, 1184, 540, 7432, 1864, 2901, 883, 513, 5869, 610, 513, 5636, 664, 267, 594, 723, 2943, 547, 1224, 24455, 6318, 519, 1739, 3390, 540, 2956, 563, 1103, 5275, 13303, 1489, 267, 568, 621, 2009, 602, 645, 846, 729, 11589, 938, 1995, 540, 19525, 267, 642, 714, 1421, 602, 547, 721, 267, 519, 7810, 5396, 267, 972, 729, 1100, 3017, 547, 581, 2938, 610, 4810, 1063, 1018, 519, 3703, 1705, 547, 721, 936, 5553, 543, 1018, 519, 21647, 1185, 2944, 267, 941, 3257, 267, 543, 1131, 798, 538, 519, 14206, 2540, 286, 1772, 621, 2009, 602, 649, 1223, 711, 16174, 1063, 519, 3703, 543, 519, 21647, 585, 519, 2241, 2601, 602, 972, 568, 1100, 23913, 3017, 1063, 519, 1079, 689, 519, 5133, 540, 1346, 945, 11124, 693, 741, 3946, 888, 6546, 1004, 798, 711, 3100, 547, 6318, 891, 2055, 538, 3127, 1247, 3181, 908, 519, 18533, 540, 645, 846, 568, 606, 16315, 540, 519, 1764, 540, 19525, 593, 721, 281, 713, 5821, 568, 513, 851, 540, 1018, 594, 1611, 950, 594, 2161, 602, 19525, 3954, 625, 1569, 547, 938, 1995, 269, 1284, 3112, 1174, 1946, 645, 846, 6836, 1018, 646, 1705, 269, 1284, 3111, 1256, 538, 6998, 713, 2241, 2243, 7498, 273, 4555, 593, 968, 288, 6465, 826, 585, 645, 846, 281, 589, 1280, 326, 13516, 7726, 7536, 296, 993, 711, 2386, 267, 594, 723, 4625, 6956, 596, 1934, 269, 27355, 1406, 476, 6977, 278, 267, 519, 3057, 24048, 32574, 267, 782 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3450, 267, 476, 275, 269, 275, 260, 540, 519, 19622, 267, 476, 274, 269, 276, 260, 616, 4600, 267, 476, 273, 269, 273, 260, 616, 13492, 5443, 267, 476, 273, 269, 273, 260, 607, 3354, 8665, 267, 476, 273, 269, 277, 260, 616, 23390, 267, 476, 272, 269, 274, 260, 538, 519, 5823, 540, 519, 11808, 543, 585, 519, 1482, 4908, 538, 519, 1072, 5823, 563, 763, 2551, 3892, 2687, 547, 519, 25499, 540, 2301, 328, 2982, 602, 519, 5453, 6202, 924, 568, 519, 9030, 5057, 630, 7906, 269, 277, 8472, 4553, 676, 519, 579, 878, 3679, 630, 866, 15992, 538, 3791, 4737, 267, 835, 9060, 519, 11205, 23437, 924, 609, 476, 1704, 269, 277, 260, 1287, 7513, 8485, 919, 543, 13101, 1912, 24043, 630, 15771, 264, 609, 476, 280, 267, 279, 260, 540, 519, 2665, 563, 763, 10203, 540, 16018, 540, 519, 1239, 540, 519, 18102, 543, 519, 2079, 7194, 540, 519, 6592, 1239, 4847, 721, 547, 1935, 519, 1426, 6208, 540, 519, 21185, 4754, 6149, 4646, 3461, 269, 1280, 1383, 267, 585, 519, 1216, 4616, 267, 476, 1704, 260, 8532, 606, 17071, 4320, 547, 476, 272, 269, 276, 700, 513, 1554, 543, 476, 2918, 269, 273, 9077, 930, 8532, 1063, 476, 272, 269, 276, 543, 476, 273, 700, 543, 476, 6321, 269, 279, 260, 540, 17013, 17551, 6704, 3436, 273, 700, 513, 1554, 630, 8368, 476, 272, 1916, 293, 14072, 564, 1216, 568, 10057, 676, 476, 10019, 260, 540, 519, 16460, 6191, 269, 634, 7401, 4616, 454, 529, 4756, 267, 476, 6321, 267, 274, 260, 1217, 619, 547, 8532, 1063, 476, 271, 543, 476, 273, 14296, 540, 7401, 513, 1554, 2676, 2764, 260, 8532, 476, 274, 268, 275, 14296, 513, 1554, 543, 476, 1724, 260, 1217, 619, 547, 8532, 476, 276, 14296, 543, 811, 563, 2690, 519, 824, 3536, 540, 519, 18102, 267, 2290, 711, 1182, 602, 519, 3110, 3770, 4616, 454, 1993, 7513, 568, 2370, 2505, 757, 630, 8368, 476, 272, 1070, 476, 1626, 267, 275, 260, 711, 10438, 454, 1415, 3638, 1426, 538, 7513, 1996, 476, 271, 269, 280, 260, 540, 519, 17013, 4356, 1302, 8532, 454, 1492, 476, 275, 3638, 3536, 538, 7513, 630, 332, 20488, 267, 18506, 267, 4258, 3150, 267, 3819, 4829, 1916, 1475, 23322, 2065, 7194, 540, 519, 6594, 2551, 454, 3519, 1356, 940, 519, 3404, 531, 622, 267, 827, 476, 10619, 260, 540, 519, 16460, 6191, 4356, 1302, 8532, 454, 273, 268, 274, 2472, 267, 476, 1321, 269, 279, 260, 519, 2185, 2472, 543, 476, 274, 267, 273, 260, 711, 10438, 1022, 3638, 1587, 454, 2690, 519, 4616, 540, 519, 3662, 5946, 267, 476, 5379, 269, 274, 260, 540, 519, 17013, 17551, 10438, 4356, 1302, 519, 2185, 3940, 6688, 1996, 476, 274, 267, 277, 260, 711, 10438, 610, 8532, 513, 2582, 7121, 269, 14755, 267, 519, 4616, 540, 25970, 6980, 568, 6659, 267, 476, 8064, 267, 272, 260, 540, 519, 17013, 547, 713, 2243, 17551, 10438, 4356, 1302, 713, 1826, 540, 7594, 563, 1475, 22860, 2763, 540, 519, 21882, 9030, 1063, 519, 1585, 6594, 454, 663, 25499, 2188, 5354, 540, 6149, 454, 22860, 2763, 2188, 12018, 519, 9030, 25499, 540, 6149, 281, 769, 1931, 547, 5659, 519, 2693, 2188, 547, 3310, 519, 9030, 19420, 19861, 540, 6149, 267, 649, 8399, 539, 5892, 547, 606, 2079, 540, 519, 21882, 9030, 540, 799, 267, 519, 2164, 616, 6719, 593, 519, 8431, 269, 476, 272, 563, 4322, 2164, 1397, 513, 2178, 561, 807, 2581, 1063, 519, 1114, 6594, 2188, 593, 519, 4790, 15856, 550, 5354, 540, 6149, 609, 513, 2597, 540, 476, 10170, 269, 11463, 9077, 3226, 585, 519, 11205, 23437, 924, 630, 310, 291, 264, 543, 519, 5453, 6202, 924, 630, 20062, 1070, 4553, 676, 519, 772, 878, 18729, 630, 288, 308, 1040, 634, 561, 807, 2581, 609, 519, 1474, 525, 5631, 7768, 540, 1912, 6664, 919, 7513, 610, 13101, 630, 15771, 264, 4667, 2864, 4617, 269, 901, 6770, 1394, 721, 547, 30881, 891, 2164, 676, 513, 9756, 1353, 1063, 519, 6594, 2188, 543, 519, 25499, 5354, 540, 6149, 602, 649, 2322, 1394, 593, 519, 7305, 476, 273, 563, 4322, 2164, 1450, 721, 547, 1294, 602, 1152, 519, 2188, 2085, 267, 519, 7401, 4616, 267, 3638, 2472, 538, 3404, 531, 622, 543, 519, 25970, 6980, 3310, 519, 5888, 540, 519, 2301, 328, 630, 8368, 476, 273, 1916, 2005, 568, 547, 5365, 602, 519, 561, 807, 2581, 568, 11201, 569, 14354, 1063, 519, 5354, 9273, 538, 11205, 23437, 924, 630, 310, 291, 264, 543, 519, 2085, 543, 1063, 519, 5354, 9273, 930, 7513, 8485, 919, 543, 13101, 1912, 24043, 630, 15771, 264, 543, 519, 3110, 3770, 4616, 540, 7401, 543, 25970, 6980, 269, 2201, 519, 824, 1688, 267, 519, 561, 807, 2581, 568, 14354, 1063, 519, 579, 878, 3679, 5631, 19420, 19861, 540, 2301, 328, 543, 519, 2085, 543, 1063, 519, 11205, 323, 22972, 630, 310, 291, 264, 5631, 7768, 540, 2301, 328, 543, 519, 4616, 540, 3404, 531, 622, 630, 8368, 476, 273, 1916, 763, 16861, 2079, 540, 519, 1239, 540, 519, 5342, 7634, 609, 519, 454, 27543, 12776, 15633, 2550, 267, 649, 4847, 30260, 602, 519, 17256, 6149, 568, 896, 454, 1492, 13829, 540, 17271, 2188, 630, 720, 267, 1920, 543, 2123, 24970, 1027, 757, 264, 543, 454, 2169, 337, 13917, 630, 25988, 6208, 267, 1216, 2204, 6877, 267, 1604, 543, 15335, 3148, 994, 1475, 17357, 30447, 1063, 519, 1585, 6594, 543, 25499, 2188, 454, 332, 1994, 640, 540, 6149, 454, 347, 17357, 30447, 1542, 2510, 14193, 694, 340, 559, 632, 476, 276, 260, 630, 523, 6182, 553, 994, 763, 2164, 4947, 689, 713, 1353, 616, 3875, 269, 1358, 1397, 593, 835, 1688, 602, 519, 16917, 8344, 9043, 540, 519, 17256, 6394, 10007, 543, 9916, 676, 18342, 21655, 2501, 2673, 547, 3294, 519, 835, 540, 519, 4853, 1242, 2477, 630, 291, 7596, 517, 1696, 620, 1421, 476, 1220, 275, 1070, 6353, 676, 513, 5256, 17282, 267, 519, 8445, 540, 4908, 540, 519, 23314, 568, 13883, 547, 519, 8772, 8717, 267, 3341, 16093, 766, 540, 519, 7513, 3404, 531, 622, 1395, 334, 5139, 3433, 607, 5057, 9030, 269, 11048, 267, 713, 1978, 1459, 9043, 4162, 912, 1475, 288, 2462, 9860, 540, 519, 5354, 9273, 538, 579, 878, 3679, 454, 263, 866, 15992, 9120, 547, 519, 835, 540, 519, 4853, 1242, 2477, 543, 547, 519, 835, 454, 10849, 5703, 538, 27988, 807, 630, 291, 329, 749, 9567, 1696, 620, 1421, 476, 1220, 277, 1040, 901, 579, 878, 9860, 454, 10193, 267, 729, 1336, 2875, 609, 519, 4807, 267, 799, 568, 538, 5329, 609, 519, 1239, 454, 1993, 938, 1353, 593, 519, 16917, 8344, 9043, 540, 519, 6394, 10007, 547, 631, 2131, 5886, 454, 27331, 1794, 21105, 1696, 620, 1421, 476, 1220, 278, 1040, 901, 579, 878, 9860, 666, 2491, 676, 2188, 454, 1993, 1455, 1981, 609, 519, 1079, 28486, 630, 30873, 267, 6484, 267, 8377, 267, 10894, 454, 1910, 526, 27689, 267, 4719, 2188, 994, 1475, 763, 9860, 540, 10007, 540, 3968, 630, 11584, 341, 924, 264, 568, 4617, 26483, 454, 1729, 519, 835, 4767, 676, 938, 27988, 1014, 12543, 630, 291, 329, 749, 9567, 1696, 620, 1421, 476, 1220, 277, 1916, 1607, 666, 581, 6045, 676, 519, 3017, 540, 519, 3144, 835, 538, 5279, 540, 519, 454, 584, 2435, 5563, 1063, 519, 1079, 2477, 610, 676, 519, 1505, 540, 19684, 454, 1993, 519, 10007, 5439, 454, 4002, 519, 824, 1688, 267, 649, 941, 2111, 267, 585, 519, 1101, 942, 998, 713, 1353, 547, 1935, 519, 1426, 6208, 609, 938, 2550, 269, 634, 3232, 610, 12353, 7274, 585, 1426, 1169, 7121, 630, 2135, 531, 622, 267, 7513, 267, 3662, 5946, 264, 568, 2352, 547, 6218, 676, 519, 3461, 267, 649, 6069, 585, 1142, 540, 891, 6688, 2185, 2472, 602, 649, 24565, 3638, 538, 891, 3536, 543, 649, 18886, 585, 1169, 3461, 267, 519, 1297, 540, 2204, 22940, 2472, 4356, 1302, 269, 4935, 267, 649, 6659, 519, 1739, 2164, 912, 1475, 763, 3110, 3770, 4616, 540, 7513, 568, 1336, 2370, 2505, 757, 454, 517, 519, 824, 1688, 519, 3110, 3770, 4616, 540, 3404, 531, 622, 543, 3662, 5946, 454, 732, 811, 7928, 630, 8368, 476, 272, 994, 1475, 763, 4616, 540, 25970, 6980, 568, 2505, 757, 267, 476, 8064, 267, 272, 260, 540, 519, 454, 22046, 757, 17551, 10438, 4356, 1302, 713, 1826, 540, 7594, 454, 24916, 267, 519, 2079, 540, 519, 21882, 9030, 1063, 519, 1585, 6594, 11790, 543, 519, 5354, 5888, 540, 519, 10007, 630, 8993, 269, 476, 272, 264, 25495, 519, 3332, 1239, 593, 519, 5169, 540, 5250, 540, 891, 10007, 630, 297, 2426, 619, 1696, 620, 1421, 476, 2735, 280, 1040, 634, 1101, 3283, 616, 538, 476, 2568, 260, 540, 10894, 5169, 610, 9422, 267, 519, 2034, 1826, 568, 538, 1034, 540, 519, 2665, 540, 11763, 5169, 630, 297, 2426, 619, 1696, 620, 1421, 476, 2735, 280, 1916, 1103, 713, 3126, 540, 476, 27543, 10007, 267, 476, 1240, 593, 476, 2764, 2301, 529, 540, 7513, 19552, 2270, 519, 3521, 341, 924, 269, 634, 9756, 1353, 1063, 519, 6594, 2188, 543, 519, 5631, 7768, 540, 10007, 25495, 1978, 2164, 540, 519, 3332, 630, 291, 7596, 517, 267, 476, 1220, 276, 1040, 634, 2085, 568, 513, 3815, 8159, 538, 519, 5888, 267, 519, 6149, 5631, 7768, 540, 11205, 323, 22972, 7747, 2933, 609, 519, 1762, 543, 519, 579, 878, 3679, 7747, 2933, 811, 609, 519, 11361, 5396, 269, 11153, 4128, 941, 859, 12097, 547, 2491, 713, 2085, 3310, 593, 10007, 5631, 7768, 540, 579, 878, 3679, 543, 11205, 23437, 924, 630, 291, 7596, 517, 267, 476, 1220, 276, 1040, 769, 519, 2339, 540, 519, 1894, 1063, 519, 5354, 5888, 540, 519, 2301, 529, 543, 519, 1426, 6208, 540, 938, 2550, 267, 649, 4767, 513, 2318, 1713, 9756, 1063, 519, 10007, 5631, 7768, 540, 7513, 3404, 531, 622, 1019, 5139, 3433, 630, 26607, 323, 22972, 264, 543, 513, 3638, 6484, 538, 3404, 531, 622, 269, 1284, 18886, 538, 713, 7121, 519, 6986, 10007, 538, 12311, 323, 22972, 630, 2641, 10007, 540, 1826, 4083, 321, 2687, 547, 519, 8760, 540, 667, 7596, 517, 1696, 620, 269, 630, 1960, 274, 264, 543, 519, 6404, 10007, 765, 6202, 924, 1315, 12311, 323, 22972, 855, 5354, 538, 12311, 323, 22972, 630, 3066, 10007, 540, 1826, 4083, 320, 266, 296, 320, 1040, 1284, 941, 711, 2111, 547, 1397, 513, 6935, 1063, 519, 3638, 10007, 538, 12311, 323, 22972, 602, 616, 7513, 4470, 2687, 547, 519, 1568, 540, 667, 7596, 517, 543, 2458, 630, 291, 7596, 517, 1696, 620, 1421, 476, 1960, 274, 264, 543, 513, 3638, 6484, 538, 7513, 269, 1809, 649, 7074, 2687, 547, 713, 1353, 602, 519, 4616, 540, 519, 3638, 2472, 538, 7513, 568, 2370, 2505, 757, 593, 519, 824, 1688, 519, 835, 540, 519, 3404, 531, 622, 568, 513, 2603, 811, 1271, 835, 269, 634, 3404, 531, 622, 568, 4092, 538, 519, 22156, 267, 519, 1216, 322, 816, 543, 2523, 540, 1866, 2030, 3039, 2199, 2504, 269, 1452, 10448, 3283, 13822, 513, 1360, 1271, 2707, 540, 3404, 531, 622, 547, 799, 267, 8591, 1978, 7873, 9323, 607, 519, 14723, 543, 519, 16163, 2917, 602, 616, 1031, 4749, 538, 519, 11477, 21339, 538, 938, 2197, 269, 4935, 267, 513, 10448, 1419, 3638, 6484, 538, 3404, 531, 622, 543, 4057, 538, 7513, 7957, 832, 519, 15499, 10338, 540, 519, 12274, 3404, 531, 545, 1863, 602, 616, 3976, 267, 17515, 676, 519, 8459, 630, 313, 732, 332, 2125, 7288, 543, 32095, 326, 330, 8657, 267, 476, 3422, 280, 1040, 634, 4430, 540, 1426, 11865, 540, 3404, 531, 622, 666, 3132, 3294, 538, 938, 2551, 538, 513, 12119, 1259, 543, 835, 666, 5469, 602, 713, 4616, 521, 10731, 1282, 519, 5614, 855, 8449, 538, 14400, 607, 621, 729, 4767, 538, 3127, 630, 297, 2426, 619, 1696, 620, 1421, 476, 2735, 280, 1040, 634, 3339, 1426, 14074, 538, 3404, 531, 622, 616, 1360, 4756, 269, 1358, 979, 540, 476, 1911, 8406, 547, 3436, 272, 575, 513, 1554, 609, 540, 1360, 2647, 1367, 7648, 543, 540, 513, 1554, 547, 519, 824, 269, 898, 6818, 8449, 2462, 7648, 540, 6915, 822, 22355, 540, 519, 3404, 531, 622, 538, 519, 3536, 2687, 547, 602, 621, 568, 8659, 538, 519, 1106, 540, 513, 19729, 610, 1202, 20107, 6070, 630, 300, 553, 8124, 267, 476, 1220, 278, 1040, 634, 8659, 3404, 531, 622, 538, 519, 22156, 568, 2808, 607, 3226, 10110, 762, 267, 593, 519, 824, 1688, 267, 519, 835, 8659, 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 ]
[ 0, 9223, 281, 5808, 729, 519, 3703, 11788, 10579, 1282, 519, 674, 1779, 4133, 2782, 540, 476, 2735, 273, 888, 12585, 281, 3046, 517, 612, 5768, 15756, 602, 7815, 0, 9223, 281, 2311, 1682, 540, 519, 1482, 3693, 666, 723, 1114, 10570, 13999, 1317, 789, 666, 723, 1114, 2338, 540, 454, 12585, 281, 25268, 269, 0, 763, 4807, 1031, 519, 11356, 3079, 540, 519, 2220, 2660, 547, 6146, 519, 8038, 1317, 519, 4210, 2660, 729, 2484, 689, 1200, 269, 0, 9223, 281, 6904, 1079, 18792, 11051, 1185, 513, 5734, 538, 476, 3192, 279, 609, 596, 2811, 519, 835, 602, 594, 1616, 888, 12585, 281, 818, 11037, 544, 1638, 731, 543, 1728, 671, 320, 536, 6033, 0, 9223, 281, 30546, 20421, 8689, 4911, 10557, 262, 521, 1007, 12473, 834, 16908, 540, 13100, 257, 8761, 519, 2078, 1063, 513, 18295, 4095, 7911, 543, 513, 19377, 20259, 269, 1809, 538, 4641, 267, 519, 11975, 616, 896, 2810, 3463, 689, 3425, 269, 10960, 2924, 1895, 27946, 288, 568, 15691, 547, 946, 519, 8560, 540, 519, 4670, 547, 1445, 1004, 781, 3007, 593, 519, 1483, 1272, 540, 19377, 27683, 269, 2060, 519, 8375, 3747, 585, 20259, 2694, 689, 5101, 5607, 267, 10363, 10122, 3788, 513, 16854, 8594, 585, 519, 6967, 3032, 2551, 269, 7982, 538, 476, 3707, 278, 267, 972, 941, 476, 2412, 267, 1822, 27683, 538, 3127, 267, 855, 519, 1297, 568, 7680, 513, 8325, 7771, 512, 271, 476, 272, 267, 3583, 277, 5103, 11044, 547, 2149, 519, 3662, 269, 29547, 812, 12845, 2711, 4655, 568, 849, 835, 540, 519, 3056, 3123, 540, 7771, 538, 20259, 2338, 269, 769, 835, 540, 3875, 4080, 6285, 593, 519, 13155, 2462, 7314, 267, 27142, 2282, 634, 16273, 268, 19328, 8473, 267, 11439, 609, 16853, 543, 10935, 522, 1513, 267, 1305, 2390, 519, 3662, 16143, 547, 723, 16091, 513, 2199, 13278, 2006, 543, 10726, 621, 547, 2669, 4505, 713, 3923, 269, 1924, 2484, 713, 1032, 267, 476, 6812, 20259, 7972, 723, 1044, 4080, 538, 519, 2197, 269, 834, 763, 1101, 15859, 950, 513, 20259, 568, 19481, 568, 547, 1175, 6146, 621, 2437, 326, 7205, 717, 584, 1889, 564, 590, 777, 531, 267, 513, 7320, 4670, 20447, 269, 834, 763, 4743, 540, 4250, 543, 20947, 568, 865, 2178, 602, 621, 695, 7491, 856, 1022, 824, 7553, 269, 1548, 649, 1810, 262, 512, 8275, 568, 602, 519, 20259, 2760, 6285, 3425, 2394, 621, 568, 7142, 547, 269, 834, 262, 3127, 814, 1044, 10010, 547, 3247, 519, 20259, 781, 7771, 538, 519, 3068, 540, 519, 2530, 540, 7226, 607, 1134, 602, 7512, 519, 2831, 547, 4734, 519, 4104, 585, 1426, 269, 834, 634, 20259, 781, 6385, 25356, 10352, 3490, 3123, 519, 23246, 547, 979, 620, 256, 856, 547, 1205, 922, 1426, 269, 9182, 267, 13184, 543, 1480, 7919, 1831, 2653, 10352, 267, 799, 5012, 23366, 547, 4655, 2437, 3081, 513, 7320, 5726, 626, 269, 8606, 7825, 6033, 590, 777, 531, 3081, 621, 568, 1152, 3339, 585, 1004, 547, 1589, 540, 519, 20259, 607, 513, 5906, 3662, 267, 855, 922, 3239, 607, 513, 1480, 20740, 12217, 930, 21440, 269, 834, 307, 22061, 2760, 6146, 585, 7328, 6862, 4558, 5779, 269, 1358, 6146, 741, 10352, 1152, 538, 2013, 540, 14000, 269, 834, 4208, 1705, 519, 27142, 10726, 519, 20259, 547, 2669, 888, 288, 269, 5221, 621, 729, 513, 1480, 20740, 543, 13986, 547, 4323, 1004, 563, 289, 269, 5221, 621, 729, 16143, 547, 581, 513, 3463, 547, 2199, 1004, 262, 521, 2729, 563, 290, 269, 5221, 2199, 1004, 1175, 4553, 741, 15859, 547, 6146, 621, 563, 291, 269, 5221, 1004, 4941, 547, 4163, 856, 741, 20947, 585, 621, 563, 12585, 281, 645, 0, 9223, 281, 769, 25245, 13299, 267, 1018, 729, 519, 2012, 540, 519, 1412, 1778, 11312, 8115, 1405, 1002, 4448, 3618, 609, 1412, 2026, 326, 731, 262, 888, 12585, 281, 536, 604, 15543, 0, 9223, 281, 7831, 1032, 267, 594, 3576, 513, 8289, 572, 4370, 7552, 547, 6115, 267, 9823, 269, 594, 4862, 513, 5639, 2161, 267, 834, 4692, 596, 948, 803, 8119, 1879, 594, 5828, 1472, 267, 594, 4718, 606, 11361, 9420, 4807, 609, 1200, 1688, 6905, 269, 8056, 2664, 2299, 267, 594, 15504, 856, 782, 540, 1250, 1689, 543, 5116, 621, 593, 1200, 1688, 1510, 1256, 3168, 693, 1200, 269, 1809, 519, 9420, 4807, 20493, 543, 1767, 267, 834, 296, 1810, 1405, 1616, 707, 2724, 269, 594, 1175, 991, 948, 4466, 519, 2022, 5604, 1701, 769, 606, 8216, 267, 594, 7691, 1018, 594, 1185, 2944, 269, 594, 19500, 609, 14882, 734, 296, 24565, 1776, 1268, 3274, 585, 1018, 594, 10924, 1352, 1185, 547, 581, 269, 594, 554, 730, 1018, 594, 4718, 538, 8885, 269, 634, 3364, 594, 1185, 16618, 827, 8885, 568, 602, 594, 993, 606, 19366, 269, 594, 2451, 670, 1180, 32136, 543, 8452, 538, 519, 2475, 693, 519, 2085, 540, 476, 1428, 269, 594, 3323, 1250, 1007, 1272, 609, 1079, 9290, 322, 1162, 267, 1250, 7015, 543, 11078, 269, 3414, 519, 1296, 267, 594, 723, 1044, 513, 7450, 24010, 267, 6666, 1512, 543, 16741, 6765, 9920, 1851, 1082, 824, 18803, 567, 6009, 267, 543, 5555, 594, 2968, 513, 3060, 11653, 269, 769, 1250, 1378, 1272, 267, 594, 723, 4810, 14882, 269, 594, 3314, 513, 942, 734, 520, 519, 2085, 540, 476, 1704, 4534, 15290, 594, 729, 513, 1668, 24742, 267, 594, 4862, 513, 4651, 2995, 1010, 2370, 7911, 602, 952, 646, 1705, 711, 798, 1134, 538, 1153, 267, 646, 1131, 1439, 909, 899, 803, 269, 1809, 1631, 267, 2713, 538, 1250, 1977, 1647, 734, 5035, 6197, 267, 621, 568, 1932, 2653, 547, 7340, 1250, 2250, 267, 547, 7340, 945, 594, 993, 267, 1141, 594, 723, 1044, 267, 543, 547, 6336, 8289, 540, 1141, 594, 1616, 547, 581, 2469, 269, 2334, 9420, 4807, 593, 519, 10754, 23174, 803, 540, 1250, 21901, 269, 2701, 18056, 803, 540, 1250, 3661, 538, 21548, 476, 1547, 1635, 519, 1259, 267, 594, 5280, 602, 14799, 547, 519, 2022, 5604, 269, 594, 4126, 547, 9684, 1200, 585, 519, 11720, 6804, 3992, 269, 4340, 547, 519, 1257, 267, 519, 2278, 1034, 4440, 23216, 602, 835, 1058, 476, 9041, 476, 4586, 288, 269, 581, 8799, 547, 519, 11361, 543, 519, 16981, 454, 289, 269, 2119, 547, 1995, 1114, 5686, 540, 4529, 454, 290, 269, 1521, 1866, 8449, 609, 2648, 543, 2463, 454, 291, 269, 1589, 827, 835, 781, 2250, 607, 1419, 607, 2009, 454, 12585, 281, 595, 0, 297, 820, 814, 13176, 2575, 4245, 593, 570, 1132, 17058, 543, 25041, 564, 2575, 4245, 593, 14349, 269, 634, 13176, 646, 3096, 593, 570, 1132, 17058, 814, 476, 276, 22334, 269, 0, 9223, 281, 20497, 27966, 10068, 1100, 3476, 3096, 24437, 267, 855, 6140, 23564, 547, 1210, 3515, 267, 1813, 547, 1857, 856, 322, 787, 936, 519, 23139, 2121, 1154, 543, 7766, 11318, 540, 1018, 7286, 2831, 888, 12585, 281, 12748, 25850, 18107, 514, 0, 9223, 281, 1879, 1412, 307, 11939, 545, 262, 2451, 3162, 600, 17980, 538, 4989, 476, 4489, 273, 267, 1141, 729, 1200, 1101, 2823, 540, 1289, 888, 12585, 281, 10027, 13118, 326 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 26164, 519, 2208, 540, 7554, 7512, 2635, 2078, 6384, 543, 2792, 1983, 780, 1103, 3932, 267, 535, 2801, 32741, 1683, 606, 22539, 9101, 689, 4641, 998, 15138, 9423, 10704, 1472, 9589, 7919, 543, 2295, 342, 9879, 4296, 269, 1635, 3695, 4798, 540, 7045, 267, 7553, 267, 2528, 267, 543, 2123, 1646, 267, 891, 9089, 8597, 547, 1312, 9913, 543, 3872, 5301, 5078, 585, 8049, 8186, 899, 16523, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 296, 723, 711, 1224, 1034, 540, 519, 1007, 13847, 7396, 630, 24392, 594, 2141, 1439, 909, 835, 12641, 10107, 3833, 513, 1906, 607, 594, 5965, 891, 9708, 700, 5357, 1916, 8072, 5723, 685, 18575, 24384, 984, 809, 543, 519, 8835, 4444, 3095, 563, 763, 6777, 986, 2471, 3544, 267, 855, 713, 9813, 568, 4758, 1055, 4986, 855, 3002, 2507, 14582, 548, 1107, 594, 1522, 581, 513, 26956, 593, 606, 9813, 4541, 267, 855, 594, 4076, 1500, 519, 1655, 540, 621, 269, 594, 723, 24566, 2828, 267, 513, 28183, 547, 2973, 267, 543, 1426, 269, 1809, 950, 1250, 3061, 832, 4734, 721, 609, 1152, 513, 1906, 22651, 1282, 513, 6777, 10445, 267, 9490, 5515, 21556, 938, 6821, 269, 769, 1250, 9810, 267, 594, 4898, 799, 568, 8338, 9789, 9409, 594, 917, 267, 610, 519, 9409, 594, 1810, 1406, 917, 286, 570, 514, 29992, 1107, 634, 1480, 568, 4190, 267, 18979, 267, 543, 838, 9231, 14834, 269, 594, 723, 547, 2744, 1200, 3972, 610, 594, 6557, 2760, 3478, 1753, 269, 1809, 513, 1906, 14763, 616, 1869, 4881, 10690, 267, 543, 789, 8910, 899, 4986, 811, 982, 547, 25010, 1250, 1272, 676, 9292, 1154, 5617, 548, 269, 594, 4076, 2760, 2016, 909, 513, 4339, 267, 543, 594, 3580, 3094, 713, 6370, 2507, 543, 1118, 5617, 548, 9553, 269, 8835, 298, 308, 454, 306, 601, 2940, 1107, 16763, 1652, 543, 26525, 267, 594, 1491, 513, 27313, 9813, 779, 2709, 547, 1404, 6474, 20447, 269, 594, 1152, 723, 547, 6108, 835, 3923, 4543, 23520, 5362, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 16337, 1315, 23620, 1315, 3474, 534, 5436, 1315, 4937, 1315, 674, 2801, 7931, 1734, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 7913, 7206, 3301, 814, 19117, 519, 1259, 5159, 1711, 1148, 267, 5356, 873, 513, 2647, 2039, 540, 2645, 543, 2934, 602, 5512, 873, 547, 3132, 1164, 7779, 3059, 10367, 269, 1452, 3292, 18082, 2757, 7206, 2553, 971, 607, 1216, 10233, 267, 3282, 267, 2250, 1564, 267, 23315, 267, 543, 2011, 1962, 5241, 267, 3850, 5159, 547, 1711, 10875, 1568, 540, 1148, 1510, 519, 991, 585, 2168, 2326, 269, 901, 1576, 1770, 786, 1683, 606, 538, 3829, 6514, 540, 3059, 7206, 3301, 267, 922, 3156, 267, 543, 875, 621, 814, 9927, 519, 1158, 540, 8642, 1374, 543, 2923, 780, 6524, 11362, 883, 519, 25727, 540, 3059, 7206, 3301, 267, 1577, 781, 1101, 2263, 1018, 3059, 7206, 568, 269, 769, 9759, 267, 3059, 7206, 4016, 547, 2870, 11247, 1210, 2780, 3301, 3079, 540, 2757, 23447, 899, 5862, 267, 22796, 267, 610, 12508, 269, 2060, 3059, 7206, 3301, 267, 5159, 666, 946, 1585, 26814, 267, 4778, 267, 18282, 267, 543, 2360, 547, 1711, 3810, 2143, 543, 10853, 2592, 269, 634, 3301, 849, 2636, 5159, 547, 1118, 11941, 543, 28303, 3362, 267, 1818, 621, 606, 10694, 4244, 547, 2757, 2409, 780, 3080, 2442, 3059, 7206, 3301, 568, 23489, 26598, 269, 4014, 5097, 1634, 585, 8666, 11049, 267, 26598, 3091, 7347, 3059, 7206, 7207, 998, 922, 5696, 2313, 15484, 269, 20551, 666, 21160, 11453, 5468, 267, 1519, 2450, 267, 3337, 267, 2095, 267, 1566, 13369, 267, 543, 9403, 267, 7175, 873, 547, 3035, 1114, 5654, 543, 6163, 269, 3958, 267, 26598, 7028, 2604, 8417, 950, 1031, 609, 5373, 14342, 267, 3246, 513, 2067, 1745, 2147, 547, 2324, 609, 2757, 23447, 780, 5194, 3532, 3059, 7206, 1907, 568, 11759, 331, 10266, 614, 269, 23850, 4481, 585, 3059, 26719, 267, 10266, 614, 19646, 4359, 2934, 971, 607, 7464, 289, 2077, 548, 12814, 2029, 267, 799, 18187, 919, 519, 2623, 540, 2757, 26814, 676, 8051, 585, 2188, 899, 4050, 28550, 267, 5086, 267, 6991, 267, 543, 2604, 269, 5015, 267, 10266, 614, 2488, 606, 3573, 5399, 540, 7499, 2923, 2010, 267, 1519, 11041, 267, 1035, 787, 331, 923, 267, 1216, 3712, 832, 267, 575, 537, 5995, 267, 11954, 22796, 267, 22916, 976, 267, 25879, 267, 2250, 1564, 267, 23445, 267, 543, 12508, 269, 4706, 16022, 8818, 2306, 621, 2653, 585, 14987, 547, 1451, 1247, 1869, 23695, 547, 4810, 4648, 3168, 585, 4359, 10342, 780, 30509, 689, 891, 1079, 5230, 30135, 267, 824, 8037, 3059, 7206, 3301, 2882, 918, 761, 320, 267, 1160, 22056, 630, 1721, 27317, 1070, 28220, 9349, 267, 1234, 10964, 548, 267, 543, 3203, 305, 720, 269, 3962, 1982, 3091, 2189, 2934, 3358, 547, 2743, 519, 2115, 540, 1114, 5159, 269, 1280, 3236, 267, 918, 761, 320, 568, 1930, 21299, 543, 1863, 547, 4647, 267, 1818, 621, 3015, 547, 1346, 945, 3112, 6488, 7199, 3301, 269, 2201, 519, 824, 1688, 267, 1160, 22056, 6212, 14311, 593, 11197, 3457, 267, 16107, 741, 1379, 543, 17545, 547, 5838, 5347, 2773, 543, 5499, 2934, 780, 3086, 602, 649, 4312, 5941, 930, 2442, 3059, 7206, 3301, 3681, 1577, 781, 4983, 875, 789, 3514, 1369, 519, 6626, 2796, 540, 1374, 267, 12449, 267, 543, 2923, 6080, 269, 7913, 7206, 814, 1831, 5051, 11342, 1813, 547, 7760, 538, 2029, 543, 3395, 3747, 585, 3308, 1543, 2066, 2789, 5867, 269, 3245, 11080, 543, 14318, 547, 10229, 543, 1514, 2923, 267, 3059, 7206, 4249, 513, 2565, 1909, 538, 6721, 2502, 543, 15138, 2833, 269, 1635, 13215, 3059, 7206, 3301, 267, 9858, 543, 5159, 666, 4228, 741, 1983, 1115, 267, 2333, 2308, 1464, 267, 543, 3251, 4143, 538, 2221, 781, 3728, 19550, 2872, 780, 11101, 267, 1565, 3059, 7206, 3301, 6087, 5698, 1063, 6887, 2324, 20716, 610, 538, 1114, 6753, 269, 19457, 6119, 3842, 6531, 4859, 3435, 5849, 15774, 2792, 543, 6971, 6959, 2404, 609, 22151, 2168, 7221, 269, 1306, 2106, 28942, 5955, 17787, 1450, 2319, 2818, 547, 2689, 3356, 267, 2303, 2242, 267, 543, 621, 4733, 7561, 267, 4611, 538, 2362, 2298, 3977, 780, 1103, 3932, 267, 3059, 7206, 3301, 4564, 513, 1713, 20014, 4464, 538, 3860, 4082, 543, 3318, 7607, 269, 3414, 922, 3309, 5044, 540, 2645, 543, 2934, 267, 5159, 666, 4739, 9159, 3308, 6386, 602, 13469, 609, 9458, 5001, 269, 29923, 891, 3292, 3340, 11428, 267, 9639, 267, 543, 2259, 282, 2705, 267, 519, 12587, 2484, 29387, 519, 4674, 16539, 269, 6787, 13197, 2123, 20106, 610, 5275, 7694, 3255, 267, 15334, 538, 3059, 7206, 3301, 10741, 9885, 547, 3970, 1652, 7399, 538, 519, 2479, 21608, 5251, 540, 1374, 267, 12449, 267, 543, 2923, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 10670, 1676, 779, 8299, 571, 6651, 547, 10435, 14559, 6732, 454, 307, 553, 657, 3131, 974, 570, 345, 677, 345, 529, 454, 19968, 25944, 1299, 10029, 267, 16373, 13693, 656, 267, 29763, 540, 519, 834, 278, 8211, 1023, 257, 6396, 1108, 454, 7212, 3257, 2757, 1870, 22356, 2094, 476, 1960, 273, 267, 594, 8593, 538, 2648, 609, 2228, 6725, 538, 3735, 476, 1001, 275, 543, 723, 5280, 7366, 540, 12478, 6133, 811, 540, 741, 2472, 543, 2533, 269, 674, 10133, 540, 5680, 15812, 564, 28874, 267, 631, 12320, 19960, 267, 14400, 14134, 563, 20091, 267, 6575, 267, 2257, 267, 21802, 267, 6995, 267, 7401, 267, 10977, 267, 10748, 328, 267, 543, 1920, 2501, 1101, 563, 1432, 616, 596, 1434, 693, 286, 5680, 1374, 267, 5752, 267, 1603, 267, 8144, 267, 610, 1256, 4702, 286, 1411, 666, 1491, 5413, 540, 707, 1699, 1983, 538, 1931, 547, 1628, 513, 4527, 543, 513, 4876, 2228, 563, 1607, 1505, 568, 835, 540, 519, 1034, 3608, 543, 972, 616, 5215, 540, 28479, 19188, 602, 723, 3710, 3811, 11678, 3257, 1175, 602, 269, 1411, 666, 960, 689, 9170, 267, 596, 1305, 707, 1378, 2474, 267, 3652, 267, 543, 5777, 267, 855, 596, 723, 547, 581, 10332, 539, 543, 3343, 1007, 7218, 782, 519, 942, 269, 2986, 1576, 267, 713, 4341, 10039, 547, 1022, 1870, 856, 972, 267, 596, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 19445, 27006, 12229, 257, 607, 851, 540, 834, 28035, 1315, 5071, 267, 29093, 1299, 9012, 1315, 29093, 13088, 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, 6092, 5149, 281, 1530, 2378, 797, 5303, 692, 5970, 596, 2479, 9289, 875, 707, 5172, 3165, 610, 20544, 8670, 729, 5423, 1354, 621, 8452, 693, 707, 2199, 17365, 4558, 610, 13962, 286, 2107, 6148, 596, 2811, 8049, 827, 875, 3744, 616, 1210, 2029, 547, 1832, 938, 16872, 2922, 543, 4264, 269, 4270, 267, 4898, 1100, 811, 256, 2913, 781, 4685, 883, 519, 4241, 1158, 540, 16872, 2029, 780, 5575, 267, 1577, 781, 2911, 827, 1018, 16872, 2029, 2965, 1797, 269, 15439, 2322, 267, 621, 781, 519, 3498, 540, 3621, 3741, 543, 4702, 2853, 547, 1184, 267, 8190, 267, 10189, 267, 543, 15814, 16872, 2472, 269, 901, 2337, 2327, 602, 519, 16872, 649, 3548, 568, 1312, 8949, 543, 2922, 780, 3080, 1271, 2460, 540, 16872, 2029, 568, 4393, 269, 5620, 596, 2479, 2938, 13792, 3165, 16853, 610, 27574, 27966, 693, 519, 2706, 21466, 286, 8409, 616, 1175, 1079, 1806, 540, 9268, 16872, 269, 6713, 832, 946, 1585, 2409, 547, 2981, 6151, 16872, 883, 10375, 267, 4712, 3562, 3887, 520, 2472, 269, 1358, 1522, 2973, 267, 2083, 2280, 267, 3434, 267, 19068, 267, 610, 666, 519, 16872, 269, 1452, 3157, 948, 2226, 2298, 267, 8831, 15808, 1272, 267, 543, 1118, 621, 4443, 585, 721, 547, 2972, 16872, 693, 1753, 780, 5194, 1883, 5057, 540, 16872, 2029, 568, 11091, 269, 27264, 2553, 2061, 27253, 720, 543, 1426, 13871, 10108, 676, 23646, 1524, 2067, 9178, 3361, 676, 4551, 267, 9493, 6814, 267, 543, 28633, 269, 2368, 1455, 11091, 2409, 1031, 538, 16872, 2029, 1331, 12104, 3130, 267, 16171, 267, 666, 940, 267, 7296, 267, 15018, 267, 543, 4946, 6070, 610, 3679, 269, 1280, 1383, 267, 12015, 2695, 573, 568, 513, 2442, 15165, 538, 1082, 7489, 2477, 267, 1247, 4584, 1194, 1200, 2590, 568, 10150, 538, 8832, 2342, 780, 3086, 267, 1577, 781, 2263, 930, 5499, 2081, 602, 8030, 543, 3744, 616, 16107, 2029, 547, 1711, 513, 1732, 2104, 585, 16872, 269, 2290, 971, 1858, 568, 29867, 1107, 519, 8105, 540, 12748, 7103, 899, 3165, 267, 32729, 267, 543, 13479, 269, 1635, 9013, 2188, 899, 1216, 2837, 267, 24952, 267, 543, 3049, 267, 6705, 666, 3132, 1164, 7779, 16872, 538, 513, 6417, 1604, 269, 13985, 20628, 6971, 2604, 593, 3552, 21996, 267, 8992, 6940, 267, 543, 2488, 1032, 15778, 1569, 547, 4195, 16872, 780, 1103, 1840, 267, 3173, 616, 3384, 1007, 4066, 547, 6895, 543, 2087, 16872, 3106, 269, 21826, 4152, 2409, 1450, 873, 547, 3713, 5739, 6878, 267, 17694, 267, 610, 23480, 3533, 543, 8308, 269, 18726, 2079, 2645, 666, 2697, 519, 2249, 267, 5169, 267, 543, 1256, 519, 2732, 540, 3484, 539, 610, 3552, 2275, 4381, 16872, 269, 2353, 891, 7760, 3565, 547, 3246, 10930, 543, 8902, 16872, 3681, 585, 6800, 780, 2414, 2040, 909, 267, 16872, 2029, 4249, 513, 2629, 1909, 538, 12419, 14312, 543, 12608, 1944, 16872, 8286, 547, 938, 7515, 269, 3414, 4393, 267, 11091, 267, 543, 5499, 4485, 899, 29867, 267, 713, 2361, 5849, 513, 11931, 3761, 540, 2298, 16872, 1247 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 602, 616, 6592, 676, 513, 2780, 269, 634, 2780, 1287, 23607, 519, 2164, 547, 18949, 606, 3239, 540, 519, 12636, 563, 763, 18909, 31554, 568, 513, 1804, 8546, 609, 513, 3349, 8429, 998, 621, 269, 2368, 1004, 5855, 827, 4743, 6806, 538, 267, 2705, 267, 519, 8546, 2141, 3788, 1930, 593, 1312, 7475, 269, 1411, 4465, 1406, 1745, 1022, 1928, 267, 855, 596, 786, 5873, 930, 10978, 21089, 1282, 519, 981, 269, 13689, 593, 875, 1082, 5961, 616, 2877, 267, 519, 981, 666, 1491, 9170, 689, 476, 736, 3764, 547, 476, 3445, 3764, 563, 2005, 568, 1360, 1271, 602, 596, 711, 1518, 707, 10629, 952, 596, 723, 1022, 4496, 538, 707, 1560, 799, 3112, 581, 6569, 267, 971, 607, 513, 10605, 20447, 267, 31729, 332, 24056, 610, 513, 14382, 4185, 269, 1411, 949, 711, 581, 2111, 547, 723, 606, 18909, 952, 596, 723, 971, 4496, 538, 707, 1560, 269, 23680, 707, 14446, 693, 1753, 267, 543, 4894, 782, 17285, 3615, 971, 607, 6217, 11226, 543, 7202, 999, 1354, 10024, 519, 17655, 4055, 563, 288, 24869, 6945, 568, 811, 12362, 982, 513, 18909, 855, 949, 581, 2556, 3006, 547, 1732, 13209, 519, 3461, 779, 2783, 269, 589, 11632, 11571, 568, 1419, 5340, 693, 519, 1482, 942, 607, 519, 24869, 6945, 538, 1931, 547, 5531, 1256, 811, 1344, 563, 7628, 513, 24869, 6945, 267, 2027, 20004, 602, 2982, 909, 593, 2473, 17530, 568, 5116, 883, 519, 11983, 5485, 269, 1403, 972, 568, 1022, 6175, 610, 31797, 538, 519, 2095, 540, 519, 19548, 11983, 5714, 1472, 707, 11983, 6241, 267, 621, 949, 1611, 972, 568, 2604, 593, 519, 13285, 540, 519, 12636, 267, 7654, 689, 513, 1200, 333, 7007, 1167, 610, 536, 3415, 27513, 267, 610, 267, 1447, 1419, 267, 513, 10510, 563, 4407, 596, 9114, 593, 513, 2473, 11920, 3349, 267, 596, 616, 2016, 513, 2199, 606, 20469, 547, 15381, 519, 1858, 269, 589, 13549, 568, 5116, 883, 519, 1858, 2282, 707, 12636, 267, 20004, 568, 22280, 543, 1287, 519, 2473, 17530, 616, 3144, 269, 634, 1449, 786, 1491, 827, 606, 5662, 547, 2347, 269, 2991, 2072, 267, 596, 949, 581, 3144, 585, 513, 11632, 11571, 267, 799, 666, 2709, 930, 3606, 1344, 602, 519, 24869, 6945, 949, 711, 1265, 269, 1280, 1383, 267, 952, 513, 4062, 540, 1167, 814, 7745, 1055, 543, 568, 10296, 593, 513, 8229, 12341, 824, 982, 922, 3597, 267, 513, 11632, 1606, 4754, 949, 3713, 621, 1247, 519, 24869, 6945, 949, 711, 563, 2791, 4465, 1406, 581, 2111, 547, 3548, 4396, 3536, 1310, 28813, 519, 3781, 1354, 707, 1449, 267, 855, 5225, 4235, 7899, 540, 12862, 971, 607, 1216, 267, 7401, 543, 10433, 538, 1931, 547, 581, 1134, 19872, 269, 3807, 3247, 6704, 12862, 1614, 3108, 25656, 269, 9105, 707, 10629, 827, 1022, 6527, 596, 616, 2921, 269, 2991, 707, 24869, 6945, 267, 596, 786, 991, 7899, 540, 1964, 267, 543, 596, 3112, 5397, 3054, 1753, 563, 7312, 10237, 6048, 786, 1865, 519, 4220, 540, 519, 24869, 6945, 267, 799, 616, 1360, 1507, 855, 1331, 21422, 1472, 519, 14047, 675, 3135, 267, 3968, 543, 13027, 6547, 269, 1411, 949, 1020, 513, 15677, 2901, 1896, 3108, 610, 1896, 2395, 1310, 519, 1449, 269, 901, 568, 2356, 3361, 676, 513, 1689, 538, 519, 2604, 540, 519, 19548, 11983, 5714, 543, 1058, 581, 23174, 609, 1964, 543, 7899, 540, 12862, 563, 763, 1167, 6945, 568, 2147, 547, 519, 24869, 6945, 538, 602, 2027, 20004, 568, 22280, 543, 2473, 17530, 616, 3144, 269, 898, 568, 849, 1419, 10483, 676, 513, 11632, 11571, 269, 1717, 267, 519, 20004, 568, 22280, 883, 519, 12636, 779, 25923, 2864, 982, 519, 11983, 5485, 269, 2755, 25923, 1810, 1406, 1397, 909, 593, 8723, 2473, 17530, 267, 519, 2473, 17530, 540, 519, 20004, 949, 581, 2111, 547, 1397, 952, 513, 1167, 814, 8297, 696, 3293, 2094, 1022, 24694, 540, 20004, 786, 581, 7000, 269, 4746, 267, 1022, 14815, 540, 1928, 689, 519, 13297, 949, 5815, 602, 513, 1880, 1167, 568, 519, 2707, 540, 519, 3461, 779, 1928, 563, 7628, 519, 1449, 267, 596, 786, 581, 554, 10541, 909, 547, 606, 10001, 547, 6822, 622, 596, 952, 2556, 543, 2149, 1996, 1022, 13027, 5114, 269, 2755, 596, 2461, 14084, 3068, 1524, 593, 519, 3349, 267, 19271, 616, 22280, 883, 519, 5697, 25923, 267, 22752, 20004, 568, 22280, 543, 2473, 11920, 5961, 616, 3144, 269, 634, 5650, 3217, 827, 476, 736, 3764, 543, 949, 581, 13943, 269, 3973, 596, 949, 581, 2366, 585, 513, 11632, 11571, 547, 2285, 707, 10629, 1256, 811, 1344, 563, 10673, 1406, 3548, 1310, 28813, 519, 1554, 540, 707, 981, 267, 543, 2307, 707, 10629, 952, 596, 1058, 1491, 707, 2834, 6527, 269, 634, 20004, 786, 581, 6569, 689, 519, 1560, 998, 519, 2095, 540, 10729, 513, 1906, 3108, 1310, 519, 5650, 269, 1411, 786, 711, 581, 2111, 547, 5397, 1753, 1317, 540, 519, 6822, 2510, 269, 1411, 786, 991, 547, 1964, 693, 2547, 16074, 1310, 519, 5650, 563, 763, 15444, 294, 2090, 519, 2783, 540, 519, 8229, 5072, 6028, 519, 12636, 676, 6313, 519, 5122, 2534, 538, 519, 6091, 799, 891, 8229, 5072, 1852, 269, 1280, 1383, 267, 952, 596, 616, 4743, 2539, 1394, 1928, 267, 707, 1850, 6091, 949, 581, 7318, 547, 1294, 952, 972, 568, 513, 1966, 609, 519, 13285, 602, 2951, 547, 707, 2539, 17119, 885, 563, 7628, 606, 15444, 294, 267, 6263, 19650, 19271, 616, 17332, 883, 519, 6091, 1373, 7318, 269, 634, 5122, 2534, 540, 519, 6091, 568, 8947, 1282, 1312, 19432, 543, 1964, 267, 543, 519, 5122, 2534, 538, 519, 4887, 568, 28659, 267, 10268, 543, 6592, 585, 2079, 269, 1403, 519, 4887, 568, 711, 8647, 7363, 267, 621, 949, 1611, 602, 513, 8229, 568, 1373, 8886, 730, 610, 8930, 3481, 1700, 704, 4257, 513, 1129, 540, 513, 1200, 333, 7007, 1167, 610, 11983, 23296, 2670, 563, 763, 1449, 3217, 9170, 689, 476, 1789, 3764, 547, 606, 5662, 267, 4470, 593, 519, 1297, 540, 6091, 1373, 7318, 269, 634, 15444, 294, 568, 2922, 267, 4352, 519, 19271, 949, 2014, 20015, 2358, 563, 288, 5642, 11571, 568, 513, 1826, 540, 2234, 542, 16090, 728, 9196, 602, 666, 948, 513, 10629, 12398, 519, 4299, 1858, 540, 519, 12636, 269, 898, 666, 948, 6218, 11983, 12970, 267, 3968, 610, 1624, 738, 18655, 811, 8308, 982, 10750, 2473, 17530, 563, 7628, 513, 5642, 11571, 267, 513, 14599, 3114, 568, 22280, 883, 519, 18072, 269, 901, 3114, 740, 12742, 547, 2694, 540, 519, 5642, 799, 616, 18460, 4028, 2242, 269, 2991, 513, 18325, 8254, 18767, 519, 1858, 267, 891, 2694, 1397, 909, 607, 4158, 2127, 593, 519, 4670, 269, 4495, 519, 10629, 814, 4857, 519, 4299, 1858, 540, 519, 12636, 267, 824, 4255, 949, 581, 2016, 547, 1413, 693, 519, 1858, 811, 5702, 563, 763, 5642, 11571, 568, 2922, 2094, 519, 2157, 540, 5982, 538, 519, 3114, 616, 1360, 1970, 1700, 16838, 2539, 982, 519, 2157, 835, 568, 6534, 547, 1282, 10750, 2473, 17530, 563, 5591, 15818, 666, 2995, 596, 693, 519, 4098, 540, 707, 3409, 875, 1454, 707, 2013, 568, 4502, 2394, 646, 610, 1352, 814, 782, 519, 2564, 5638, 267, 12014, 543, 13230, 2530, 2079, 538, 1688, 269, 1717, 267, 676, 10912, 476, 8517, 268, 275, 4391, 268, 27038, 272, 20471, 543, 7713, 519, 1808, 6381, 540, 707, 8009, 543, 7063, 267, 835, 540, 938, 4810, 2123, 5945, 27192, 267, 949, 581, 2111, 547, 2285, 596, 513, 968, 4252, 6288, 4137, 2223, 610, 952, 596, 4782, 267, 949, 849, 946, 938, 10375, 5131, 8865, 16214, 19169, 1106, 269, 0, 2414, 1521, 14331, 267, 1394, 1928, 610, 8611, 267, 1034, 540, 721, 723, 6603, 585, 16481, 1575, 19745, 523, 693, 835, 1448, 610, 1776, 269, 1809, 649, 1419, 723, 547, 1491, 13066, 1169, 2185, 547, 3670, 3108, 952, 519, 1928, 11562, 1218, 621, 269, 3767, 3744, 616, 2324, 593, 513, 1259, 547, 10189, 519, 4122, 1031, 3075, 865, 621, 666, 2063, 3476, 269, 4256, 1935, 1223, 849, 581, 1031, 547, 5838, 824, 5061, 30375, 602, 4867, 666, 1152, 581, 3144, 12499, 1597, 3585, 563, 2005, 568, 2922, 585, 13500, 547, 946, 519, 16777, 11286, 630, 14532, 267, 10566, 294, 267, 6520, 267, 11485, 2188, 267, 543, 3355, 570, 1886, 13908, 264, 6060, 547, 1118, 3664, 827, 16075, 267, 8343, 267, 610, 11166, 538, 2550, 9306, 547, 519, 6595, 8257, 609, 9221, 1928, 269, 1717, 267, 11688, 13330, 547, 31831, 689, 16153, 1154, 543, 4152, 2550, 609, 1970, 8464, 1223, 2491, 922, 1507, 1198, 593, 1072, 1416, 3790, 2938, 538, 713, 2079, 563, 14722, 723, 3710, 513, 1804, 1560, 540, 1702, 827, 25425, 2068, 936, 519, 2250, 476, 2412, 1296, 267, 2943, 27900, 2611, 543, 519, 1297, 540, 2665, 5170, 547, 4473, 269, 769, 519, 2136, 2276, 267, 4080, 2665, 540, 25425, 2068, 267, 799, 568, 10299, 689, 3552, 2831, 547, 3425, 676, 8743, 17486, 267, 723, 2468, 9482, 538, 519, 2250, 476, 736, 1296, 269, 589, 21318, 540, 15025, 2188, 616, 6117, 519, 2333, 538, 25425, 2068, 2665, 267, 855, 741, 3448, 2956, 3788, 15458, 563, 15919, 519, 3460, 25526, 298, 2464, 9358, 9215, 589, 12813, 19781, 6167, 31778, 303, 3633, 269, 32506, 568, 2009, 0, 9377, 20532, 910, 26758, 966, 306, 1548, 1772, 454, 6624, 2053, 649, 946, 1913, 543, 723, 1114, 10096, 269, 634, 834, 20278, 540, 5678, 538, 519, 17546, 902, 257, 3947, 513, 454, 3698, 6873, 540, 519, 1913, 543, 875, 789, 616, 1373, 1031, 676, 1250, 4116, 563, 22432, 3201, 910, 1323, 16494, 2219, 540, 1018, 1058, 581, 563, 20062, 2969, 4959, 910, 5438, 1329, 1424, 602, 799, 568, 2469, 593, 693, 713, 4090, 454, 2171, 723, 782, 1044, 31411, 547, 3180, 834, 728, 1023, 257, 538, 1164, 2543, 267, 3976, 649, 782, 3494, 602, 649, 917, 834, 257, 6343, 11129, 547, 581, 257, 585, 6000, 543, 1866, 543, 782, 6381, 563, 2691, 649, 3494, 649, 917, 834, 6343, 11129, 547, 581, 27324, 663, 782, 4641, 568, 1018, 568, 734, 663, 538, 11047, 1276, 607, 1018, 568, 568, 2356, 1454, 1114, 982, 938, 2856, 540, 834, 6343, 11129, 547, 581, 2437, 649, 1745, 21616, 543, 723, 519, 991, 547, 6560, 543, 547, 5706, 1018, 568, 563, 3080, 666, 6749, 519, 834, 728, 531, 257, 676, 7487, 602, 621, 568, 8806, 513, 14810, 543, 602, 649, 1223, 711, 917, 1018, 11129, 547, 581, 8259, 649, 6785, 519, 2104, 267, 6785, 519, 6364, 540, 1169, 3510, 513, 3018, 689, 1631, 267, 513, 3923, 689, 1631, 267, 513, 1032, 689, 1631, 267, 543, 865, 593, 563, 2691, 649, 13404, 593, 519, 2856, 540, 519, 834, 728, 531, 257, 585, 513, 2370, 1247, 267, 649, 666, 6749, 782, 3661, 538, 519, 834, 728, 531, 2668, 1284, 1287, 1265, 1582, 538, 519, 1459, 543, 3833, 5827, 540, 7231, 609, 519, 1459, 4090, 269, 1284, 786, 1265, 649, 616, 1863, 547, 1995, 1018, 568, 689, 4090, 547, 4090, 543, 547, 4431, 3079, 540, 834, 516, 716, 257, 1317, 1919, 616, 711, 607, 649, 10178, 857, 539, 789, 834, 4454, 547, 581, 8487, 18455, 1863, 547, 1995, 8726, 2501, 938, 1259, 2221, 568, 547, 581, 1863, 540, 4655, 267, 6560, 543, 4187, 269, 18366, 267, 6560, 543, 4187, 568, 519, 1152, 1480, 1966, 454, 3080, 3112, 3494, 538, 741, 834, 728, 1023, 257, 543, 581, 1863, 693, 519, 1482, 942, 563, 3080, 6238, 609, 1373, 1863, 547, 1995, 8726, 14340, 538, 835, 781, 1259, 2221, 267, 1287, 835, 568, 1863, 540, 4655, 267, 6560, 543, 4187, 269, 15213, 568, 1483, 1373, 267, 1631, 269, 0, 4002, 476, 280, 281, 2641, 7537, 676, 12924, 3220, 338, 269, 7984, 7217, 5516, 454, 31955, 949, 581, 1434, 585, 519, 2247, 267, 855, 621, 666, 581, 9157, 593, 707, 2960, 269, 623, 14040, 267, 3694, 560, 6506, 267, 4672, 8645, 267, 5230, 1576, 13907, 267, 543, 513, 6521, 538, 3207, 3270, 666, 782, 1291, 547, 834, 320, 26832, 2960, 1954, 752, 13050, 4799, 10454, 2852, 1296, 616, 513, 6305, 942, 585, 8840, 856, 267, 1256, 585, 1004, 945, 4682, 998, 519, 13557, 540, 741, 7141, 1296, 1510, 18383, 2437, 3081, 808, 1328, 23821, 710, 267, 11022, 267, 13930, 4791, 7548, 540, 17172, 1108, 693, 6778, 31291, 328, 6481, 4741, 538, 1715, 3840, 4975, 269, 834, 7312, 2960, 9356, 707, 2949, 1072, 267, 543, 519, 21463, 538, 2732, 267, 3635, 267, 543, 3207, 267, 7132, 2566, 267, 666, 782, 1291, 547, 18383, 27506, 13522, 4799, 29590, 543, 3600, 928, 281, 1772, 1703, 513, 17583, 888, 2690, 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 ]
[ 693, 2899, 286, 1452, 616, 711, 20102, 12600, 540, 835, 1776, 269, 20727, 1681, 538, 7658, 332, 4215, 267, 1352, 814, 2854, 20072, 585, 2875, 3785, 543, 814, 1044, 6074, 547, 10505, 513, 1179, 7097, 585, 519, 476, 1001, 272, 19162, 601, 1712, 517, 19536, 26665, 23050, 269, 634, 1570, 593, 713, 3135, 666, 711, 581, 25735, 267, 7856, 267, 10299, 267, 524, 3737, 610, 6382, 1031, 267, 4849, 609, 1991, 2854, 10479, 540, 25092, 269, 476, 1789, 7643, 1547, 589, 12377, 4633, 568, 1224, 2262, 16519, 30087, 269, 29179, 513, 4633, 1797, 5329, 606, 5304, 7722, 609, 4277, 1913, 543, 6765, 602, 616, 10858, 547, 519, 4259, 543, 19700, 269, 5077, 894, 269, 4340, 547, 19369, 540, 24822, 25831, 269, 9978, 9537, 540, 16594, 4340, 547, 20828, 4208, 616, 4325, 16696, 1271, 286, 268, 10743, 7985, 519, 3152, 1344, 20358, 982, 1034, 824, 1004, 269, 5445, 616, 2838, 547, 6108, 1454, 942, 8391, 267, 16208, 267, 10442, 543, 8357, 1944, 1344, 4843, 676, 3610, 543, 20485, 267, 2835, 267, 5717, 267, 15872, 267, 2838, 13220, 267, 1382, 4170, 543, 1688, 8083, 269, 29480, 16594, 31692, 880, 2010, 540, 18531, 2422, 3741, 540, 2500, 4633, 6765, 538, 1114, 8658, 13673, 1556, 270, 1321, 8016, 268, 2862, 322, 329, 268, 2537, 13673, 1556, 270, 1321, 8016, 268, 2862, 322, 329, 268, 2190, 1547, 9373, 8877, 609, 513, 16594, 269, 634, 2034, 1826, 540, 4633, 1759, 593, 3483, 568, 519, 10388, 4633, 269, 1809, 267, 1175, 899, 519, 824, 2010, 540, 4633, 6765, 2409, 267, 972, 568, 513, 17498, 728, 269, 4208, 1810, 1405, 8021, 9329, 899, 29481, 286, 20828, 281, 2725, 656, 547, 18609, 519, 19700, 1677, 1689, 519, 26575, 779, 6644, 267, 10182, 267, 610, 4978, 3823, 513, 1978, 1888, 269, 1548, 616, 519, 2596, 2010, 540, 18531, 286, 11762, 585, 707, 4633, 269, 28611, 1776, 1826, 540, 10388, 4633, 267, 519, 30973, 4633, 568, 2966, 547, 1205, 519, 5304, 547, 798, 1107, 610, 538, 930, 2665, 1832, 593, 3257, 1107, 1945, 267, 610, 1491, 605, 268, 5562, 3268, 547, 2087, 1945, 267, 538, 1082, 2665, 2933, 269, 589, 12377, 4633, 568, 1224, 2262, 16519, 30087, 269, 18044, 11568, 269, 2659, 12223, 568, 519, 936, 31186, 3804, 540, 707, 4633, 269, 23227, 894, 18531, 616, 2147, 547, 13181, 18531, 855, 13181, 18531, 7363, 798, 711, 1331, 4890, 23405, 28560, 596, 2285, 513, 2911, 593, 875, 547, 1376, 513, 5816, 267, 875, 547, 2328, 513, 3382, 4484, 267, 610, 1256, 875, 547, 1118, 2724, 593, 519, 2902, 2507, 14645, 9736, 476, 1708, 272, 25092, 9012, 267, 20941, 269, 6657, 1547, 9861, 2111, 547, 21028, 891, 1585, 1257, 2010, 543, 741, 3982, 2934, 814, 513, 1297, 540, 5383, 269, 29480, 524, 269, 550, 1643, 618, 1273, 592, 784, 1093, 476, 272, 6423, 2626, 7754, 334, 1093, 586, 2426, 824, 6340, 3510, 561, 12320, 338, 343, 660, 561, 12320, 338, 343, 660, 8382, 281, 13181, 910, 5631, 5340, 585, 18997, 519, 5304, 593, 513, 1007, 610, 4143, 4062, 540, 1344, 593, 513, 1880, 1888, 269, 1677, 22252, 1107, 950, 519, 10584, 568, 9306, 4277, 5013, 610, 4245, 547, 519, 5304, 267, 610, 2491, 875, 547, 979, 827, 3257, 1945, 269, 634, 3483, 540, 606, 19278, 4633, 568, 711, 547, 13599, 267, 1217, 610, 8300, 2560, 621, 568, 547, 1118, 519, 5304, 12837, 267, 6001, 267, 2972, 543, 6148, 1256, 14902, 741, 9843, 1055, 269, 14645, 476, 1708, 272, 23516, 6828, 13456, 269, 1315, 23516, 6828, 4065, 267, 10812, 1533, 676, 1533, 1942, 2079, 540, 2475, 12621, 538, 606, 7317, 2376, 267, 2160, 540, 26352, 7921, 281, 9537, 540, 4325, 16696, 267, 14329, 519, 18740, 281, 476, 274, 9537, 540, 4325, 16696, 5272, 12287, 20126, 547, 581, 19361, 609, 585, 11773, 269, 476, 272, 269, 4107, 6101, 32705, 2511, 585, 16614, 3510, 6496, 711, 2154, 1022, 5955, 689, 519, 5304, 15394, 3096, 1279, 5220, 609, 1434, 8239, 543, 6863, 634, 946, 540, 1893, 568, 6378, 543, 5266, 11979, 1547, 476, 271, 260, 3328, 6111, 269, 1411, 7119, 538, 513, 17083, 267, 610, 1807, 673, 267, 610, 7521, 16311, 14478, 676, 513, 1297, 540, 1004, 269, 5239, 476, 1691, 267, 476, 1001, 277, 5239, 476, 1691, 267, 476, 1001, 277, 269, 12005, 689, 281, 966, 1460, 523, 11545, 269, 3503, 269, 589, 3483, 3948, 11479, 519, 3919, 540, 519, 4633, 2094, 1114, 5301, 630, 324, 3052, 1421, 21141, 610, 10388, 264, 28173, 1114, 2010, 540, 2963, 543, 6881, 6163, 269, 19648, 281, 16521, 519, 4484, 540, 519, 1655, 2626, 3903, 585, 519, 1739, 11673, 540, 519, 2185, 2010, 540, 18531, 269, 5808, 729, 519, 14799, 609, 519, 512, 15577, 538, 5066, 25483, 7260, 286, 1401, 1842, 7480, 270, 1103, 845, 894, 16594, 29480, 16594, 30007, 16594, 269, 769, 713, 3992, 267, 649, 3513, 1413, 693, 1346, 1614, 2010, 540, 18531, 543, 875, 1142, 5713, 513, 1114, 3483, 269, 2626, 5079, 1547, 1677, 6814, 4633, 616, 2016, 1282, 12311, 26204, 267, 6105, 543, 824, 4272, 2218, 2621, 269, 589, 30973, 4633, 568, 513, 2189, 1826, 540, 4633, 543, 814, 519, 3804, 540, 1582, 21553, 2889, 22777, 585, 519, 5304, 2818, 269, 3371, 649, 2461, 2469, 547, 1865, 922, 1082, 1114, 2010, 267, 13712, 2560, 476, 277, 3764, 3516, 676, 269, 570, 24688, 2464, 5508, 9501, 292, 17248, 5254, 312, 4041, 1107, 769, 713, 1888, 267, 649, 786, 1631, 1865, 827, 519, 2947, 1114, 2010, 540, 4633, 2511, 610, 32705, 2511, 269, 16594, 547, 6431, 340, 1228, 610, 21261, 894, 16594, 476, 275, 269, 11572, 18531, 616, 849, 10388, 267, 607, 789, 2832, 547, 22321, 17037, 547, 1528, 1808, 10457, 547, 5604, 269, 7151, 281, 1411, 5838, 513, 22692, 4633, 547, 707, 16801, 269, 6184, 25378, 18531, 267, 971, 607, 1346, 1500, 547, 12740, 513, 1268, 779, 1582, 12635, 267, 666, 849, 18663, 513, 15624, 540, 1004, 269, 17510, 1485, 16594, 269, 1411, 949, 723, 1896, 5301, 538, 2247, 950, 4758, 707, 6881, 269, 16594, 4340, 547, 24822, 9050, 9537, 540, 16594, 24822, 281, 6764, 668, 696, 340, 267, 6987, 18556, 10389, 267, 2494, 11245, 1299, 6490, 528, 1242, 17214, 610, 2944, 1510, 3105, 7041, 281, 606, 791, 668, 696, 340, 2232, 547, 519, 6397, 24921, 269, 0, 2704, 2819, 723, 606, 2272, 286, 5192, 2789, 2640, 540, 1210, 1378, 2272, 2336, 19868, 514, 538, 707, 2272, 907, 2336, 10673, 1405, 723, 606, 2272, 286, 8073, 707, 2272, 538, 1447, 982, 513, 3764, 2676, 2690, 326, 582, 10957, 286, 875, 666, 594, 9156, 1250, 10957, 1631, 2336, 11767, 1318, 10805, 4757, 547, 4309, 10957, 2336, 2237, 4967, 593, 31108, 8606, 18146, 9828, 563, 763, 1034, 3407, 1599, 5340, 998, 13123, 568, 7406, 19003, 269, 589, 8115, 3085, 1405, 4464, 513, 7406, 8259, 1898, 269, 769, 1880, 267, 952, 513, 2780, 7923, 547, 1367, 10126, 15920, 513, 7406, 547, 513, 2780, 593, 2147, 10126, 267, 519, 8115, 3085, 1405, 2154, 4464, 532, 513, 5299, 540, 519, 7406, 547, 519, 824, 10126, 563, 2414, 1265, 856, 2436, 547, 4464, 513, 7406, 267, 513, 8115, 18252, 519, 2168, 2232, 1336, 883, 519, 7406, 2212, 619, 269, 2755, 513, 7406, 21128, 2390, 513, 10126, 267, 519, 8115, 21555, 543, 11974, 519, 10278, 2232, 269, 1403, 519, 8115, 11887, 602, 519, 10278, 2780, 568, 7923, 547, 513, 10126, 936, 602, 519, 7406, 8452, 267, 519, 10278, 786, 849, 723, 5833, 513, 5299, 540, 519, 7406, 282, 4061, 519, 8115, 666, 1167, 731, 513, 7406, 1510, 4464, 532, 513, 5299, 563, 7197, 13123, 616, 17941, 607, 13261, 610, 1565, 13123, 2094, 789, 1451, 519, 4087, 540, 513, 2780, 8850, 269, 634, 8115, 18252, 519, 2707, 2232, 547, 8850, 1265, 856, 519, 4087, 540, 519, 2780, 799, 2366, 513, 7406, 267, 543, 3096, 519, 10278, 2232, 547, 1265, 856, 2436, 547, 4464, 513, 7406, 563, 10517, 19948, 540, 519, 7755, 659, 1890, 5119, 543, 7755, 659, 1890, 1592, 454, 31161, 519, 10856, 24072, 936, 519, 1843, 596, 6999, 547, 8749, 267, 543, 1287, 3180, 1524, 519, 2451, 10856, 7735, 269, 24641, 8066, 519, 10856, 7735, 267, 1847, 519, 10856, 24072, 630, 663, 519, 1843, 264, 547, 519, 454, 25648, 6441, 9707, 8416, 11629, 999, 281, 1306, 649, 2808, 649, 4718, 538, 519, 3105, 11000, 602, 829, 1061, 6425, 723, 3908, 9165, 538, 519, 1826, 540, 2035, 602, 789, 666, 1451, 910, 855, 789, 524, 454, 25648, 6473, 27122, 18527, 540, 519, 1079, 6378, 15304, 9352, 2338, 538, 9896, 9588, 6041, 568, 2944, 609, 1957, 543, 15513, 998, 513, 1184, 540, 20422, 454, 23737, 519, 1849, 1304, 4149, 13996, 19983, 4635, 11619, 1137, 1306, 649, 723, 4121, 267, 7817, 268, 7746, 5872, 949, 581, 7307, 538, 1082, 2081, 269, 589, 5048, 268, 1759, 5872, 568, 5310, 519, 14850, 454, 8138, 27771, 4016, 547, 519, 5044, 540, 12136, 267, 6466, 12039, 3254, 606, 12136, 540, 513, 3349, 3693, 269, 1323, 4994, 666, 1152, 9168, 1210, 1685, 267, 3406, 1299, 1305, 269, 18859, 547, 723, 606, 4994, 454, 293, 340, 21424, 20603, 910, 5841, 4987, 281, 769, 519, 1657, 7954, 267, 649, 723, 1044, 7255, 609, 5168, 2436, 3981, 1431, 543, 5220, 616, 3020, 269, 1809, 267, 609, 930, 2067, 1893, 1533, 332, 454, 304, 269, 8058, 519, 19147, 543, 1230, 20960, 1935, 286, 19147, 543, 1230, 20960, 1935, 568, 519, 1259, 540, 1818, 513, 7294, 1966, 4443, 269, 769, 713, 1935, 3677, 1966, 630, 21902, 264, 568, 5258, 703, 454, 23737, 827, 519, 1875, 3146, 335, 644, 2747, 286, 6348, 3115, 644, 2747, 281, 2667, 4269, 799, 519, 30699, 568, 3177, 2059, 609, 6169, 540, 6765, 543, 799, 519, 18579, 568, 2016, 2059, 609, 6169, 454, 304, 269, 16503, 3433, 11822, 9338, 308, 25944, 286, 1323, 9338, 308, 13408, 11387, 799, 1685, 1239, 4393, 2890, 268, 6016, 725, 269, 9282, 875, 616, 891, 9338, 308, 11387, 1031, 538, 14966, 540, 824, 454, 7476, 16798, 9547, 1299, 942, 593, 6765, 538, 1169, 7084, 1931, 596, 6976, 609, 721, 256, 1284, 2327, 14167, 2298, 3070, 3561, 2059, 609, 1863, 2881, 660, 514, 1867, 2336, 5472, 2924, 11603, 256, 25767, 23412, 9736, 1001, 280, 268, 1708, 271, 20226, 21790, 8668, 12409, 623, 26404, 13456, 0, 763, 8516, 540, 1303, 558, 13771, 8328, 29712, 3941, 630, 7968, 301, 454, 264, 607, 6211, 1852, 8069, 540, 1808, 3077, 7786, 5673, 593, 741, 1377, 540, 3468, 2032, 543, 10285, 4390, 563, 2026, 728, 689, 602, 267, 607, 540, 519, 1439, 540, 519, 1101, 3368, 540, 476, 1001, 279, 267, 519, 11298, 292, 568, 1869, 10442, 2436, 547, 5909, 1518, 476, 5379, 3785, 607, 21768, 10064, 454, 269, 6270, 14769, 1331, 476, 2420, 7791, 1648, 3785, 267, 476, 1321, 5755, 3785, 267, 476, 1556, 3282, 543, 3154, 3785, 543, 835, 6771, 1788, 563, 18066, 919, 1031, 538, 713, 960, 941, 5833, 676, 519, 10713, 573, 1228, 8549, 632, 30225, 6652, 630, 308, 293, 6369, 1070, 631, 294, 267, 21150, 1905, 320, 267, 2558, 15282, 267, 19954, 267, 543, 519, 2382, 527, 19513, 4437, 860, 4815, 632, 8805, 21590, 267, 9501, 267, 8478, 563, 322, 738, 1005, 281, 9980, 558, 13771, 8328, 29712, 3941, 941, 31796, 593, 717, 563, 4322, 818, 6605, 16104, 616, 2009, 14747, 585, 661, 14149, 338, 454, 269, 1924, 267, 621, 729, 4397, 606, 2333, 538, 661, 14149, 454, 322, 2194, 732, 950, 3037, 5439, 568, 3144, 18284, 513, 15468, 11945, 267, 855, 621, 729, 711, 4767, 1934, 630, 8201, 25153, 1070, 5103, 4829, 23588, 676, 589, 563, 5194, 4244, 547, 519, 3114, 1852, 540, 10860, 568, 519, 946, 540, 661, 14149, 338, 454, 7474, 1568, 607, 19579, 13596, 630, 550, 27622, 910, 12949, 8328, 29712, 3941, 1916, 306, 12888, 1716, 9047, 5433, 23706, 7902, 607, 519, 2531, 3215, 2249, 630, 1556, 5439, 815, 476, 736, 269, 275, 8472, 1851, 782, 519, 9678, 661, 14149, 338, 454, 269, 898, 729, 1034, 1419, 9678, 538, 5614, 630, 278, 5439, 264, 689, 519, 4610, 563, 26200, 2966, 547, 4766, 2833, 609, 4791, 1416, 607, 2938, 998, 519, 3461, 781, 1378, 4064, 267, 519, 1883, 27696, 7156, 649, 3964, 585, 12570, 2298, 540, 19310, 1243, 1239, 568, 875, 621, 3800, 909, 547, 513, 2407, 2272, 689, 602, 1482, 3461, 563, 30789, 538, 2070, 519, 2956, 540, 519, 6211, 1852, 267, 621, 729, 9709, 547, 8495, 519, 6211, 1852, 540, 3597, 10275, 2254, 29712, 3941, 998, 661, 14149, 338, 454, 5445, 941, 2527, 1790, 22004, 538, 3490, 4496, 267, 21768, 10064, 454, 663, 17646, 30066, 267, 519, 8545, 1031, 676, 15945, 543 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 5564, 28745, 31353, 31745, 528, 15873, 585, 16504, 4569, 15858, 692, 16908, 2060, 2201, 525, 625, 568, 5467, 6462, 256, 1403, 596, 1118, 513, 6718, 998, 606, 24988, 3095, 267, 649, 949, 7118, 513, 1507, 10243, 693, 1100, 3063, 1942, 547, 596, 780, 22826, 10026, 2979, 1053, 547, 9062, 17447, 666, 581, 2352, 585, 721, 3610, 256, 1109, 1924, 1419, 267, 1053, 1294, 513, 8918, 1448, 543, 789, 7340, 602, 14921, 17447, 3884, 1406, 513, 4914, 1523, 952, 789, 1175, 1491, 513, 4090, 547, 1589, 827, 519, 1184, 269, 1109, 1656, 972, 568, 1100, 2601, 547, 1175, 1747, 519, 8918, 14477, 2439, 2414, 948, 1250, 1053, 3314, 875, 547, 9062, 17447, 267, 594, 1500, 713, 14921, 17447, 19671, 5750, 269, 1109, 898, 13793, 338, 593, 519, 3774, 540, 1250, 4928, 269, 1109, 1879, 1053, 1631, 1294, 17447, 267, 594, 3580, 1265, 873, 3168, 538, 519, 4287, 540, 519, 19671, 5750, 543, 12180, 741, 4555, 2864, 982, 1954, 1136, 856, 780, 296, 1265, 621, 5363, 547, 1711, 519, 19671, 5750, 2059, 609, 519, 1053, 865, 789, 666, 581, 513, 851, 540, 519, 1184, 269, 1109, 1403, 621, 779, 513, 2370, 30255, 1282, 1362, 5137, 267, 596, 666, 2141, 1118, 513, 5094, 835, 1310, 1153, 779, 856, 269, 1109, 476, 1109, 296, 1287, 13793, 519, 19671, 5750, 593, 519, 3774, 585, 1053, 547, 3277, 1394, 547, 607, 649, 616, 1565, 543, 8026, 519, 1523, 780, 1012, 3371, 779, 3733, 5564, 28745, 31353, 31745, 528, 15873, 692, 10743, 991, 547, 1174, 519, 1523, 540, 8918, 8691, 2059, 609, 519, 3652, 269, 1109, 1879, 21365, 513, 9583, 1950, 1966, 971, 607, 8918, 8691, 267, 594, 1265, 621, 4443, 547, 2736, 519, 1184, 1524, 883, 1507, 267, 19242, 3268, 602, 786, 948, 873, 1174, 269, 1109, 2334, 779, 1946, 713, 14921, 17447, 19671, 5750, 814, 476, 275, 2241, 3268, 780, 1012, 5564, 28745, 31353, 769, 476, 275, 14168, 17778, 16963, 2080, 616, 519, 3268, 602, 594, 5000, 1053, 547, 1246, 950, 14921, 269, 1109, 1306, 606, 1383, 538, 1250, 19671, 5750, 267, 594, 1397, 875, 547, 9062, 476, 274, 269, 275, 9943, 275, 269, 277, 780, 272, 269, 3689, 267, 5180, 1142, 8918, 547, 519, 14282, 2898, 1297, 269, 1109, 3973, 267, 9062, 1346, 1079, 2338, 547, 1205, 513, 10257, 7447, 269, 1109, 634, 1383, 538, 1250, 14921, 17447, 19671, 5750, 568, 476, 274, 269, 275, 21448, 547, 476, 274, 267, 543, 476, 275, 269, 277, 21448, 547, 476, 276, 269, 1109, 4935, 476, 274, 9943, 276, 284, 1428, 267, 799, 568, 513, 1434, 4358, 7447, 585, 519, 2626, 563, 273, 269, 2991, 3478, 519, 7447, 267, 9062, 519, 1875, 25454, 2338, 1510, 519, 8918, 1448, 269, 1109, 4935, 267, 9062, 476, 4097, 9943, 5379, 269, 1109, 901, 3947, 513, 1587, 540, 476, 14444, 275, 563, 274, 269, 2311, 713, 1448, 267, 3277, 1394, 547, 707, 3312, 7447, 269, 1109, 10925, 707, 8918, 538, 513, 10257, 1747, 269, 1109, 12791, 267, 952, 596, 3357, 909, 609, 476, 14444, 275, 267, 621, 779, 1152, 10257, 707, 8918, 4422, 1063, 519, 476, 276, 543, 519, 476, 277, 269, 1109, 5221, 476, 1428, 269, 5038, 1131, 581, 519, 14191, 2626, 547, 476, 1428, 269, 1109, 630, 296, 1810, 1406, 917, 1946, 594, 5206, 26893, 538, 1250, 19671, 5750, 593, 713, 1900, 256, 16474, 2634, 26695, 275, 269, 17677, 27902, 519, 13307, 540, 707, 8918, 1448, 269, 1109, 1684, 713, 676, 23115, 856, 875, 1082, 4025, 1310, 519, 8918, 1448, 540, 1142, 4358, 1297, 1101, 267, 543, 1039, 1346, 1927, 269, 1109, 3962, 540, 1250, 31325, 2338, 814, 476, 272, 1297, 1310, 519, 8918, 1448, 267, 865, 713, 568, 513, 2698, 540, 476, 273, 4025, 269, 1109, 4935, 267, 519, 3803, 8691, 1587, 2115, 547, 723, 476, 273, 2338, 1310, 519, 17447, 780, 1012, 1215, 901, 5564, 28745, 31353, 31745, 528, 15873, 13201, 4518, 539, 769, 3733, 15858, 692, 1607, 8918, 8691, 19671, 5750, 814, 5280, 1250, 1053, 513, 2603, 609, 713, 1523, 269, 5502, 540, 17259, 6619, 547, 14921, 519, 2898, 2338, 543, 1287, 14477, 11093, 519, 8918, 267, 1250, 1053, 1631, 3500, 1524, 513, 2370, 811, 547, 2119, 543, 1174, 519, 1523, 3297, 8918, 8691, 269, 1109, 594, 1869, 1265, 930, 1053, 530, 11035, 5991, 11035, 18530, 1472, 8918, 2798, 267, 855, 2949, 267, 594, 4076, 2938, 513, 17386, 6454, 2439, 1607, 19671, 5750, 568, 835, 540, 1250, 5172, 2979, 19671, 12125, 602, 594, 946, 538, 1250, 2979, 4928, 952, 596, 2461, 16462, 547, 2638, 856, 824, 19671, 12125, 594, 946, 538, 1250, 3791, 543, 11359, 17263, 2979, 13460, 780, 18704, 621, 256, 0, 258, 16949, 19577, 630, 272, 2020, 3682, 557, 602, 1384, 7445, 842, 2715, 2715, 1535, 7684, 3867, 562, 7684, 11459, 7807, 2765, 2715, 2715, 1535, 7684, 3867, 562, 266, 272, 7684, 25452, 562, 266, 272, 7684, 7684, 1341, 290, 6911, 27893, 1384, 258, 1955, 14032, 7756, 2747, 16390, 692, 305, 2544, 476, 272, 1384, 7445, 2765, 2715, 10085, 25452, 10085, 7684, 1422, 10383, 1422, 2765, 2715, 10085, 25452, 15848, 7684, 31386, 2765, 2715, 10085, 25452, 15848, 476, 10592, 305, 2544, 476, 273, 1384, 258, 1403, 586, 284, 15238, 6600, 3287, 24270, 10085, 7933, 343, 14352, 325, 21948, 343, 4297, 270, 325, 3287, 2020, 3682, 557, 602, 952, 1384, 259, 344, 7807, 15238, 2715, 1422, 3847, 263, 535, 13375, 263, 1535, 1422, 2431, 264, 1422, 2431, 264, 7684, 2073, 315, 15153, 1422, 2765, 2715, 10085, 25452, 15848, 7684, 31386, 2765, 2715, 535, 6911, 20058, 267, 2161, 602, 1384, 259, 344, 284, 327, 13375, 263, 1535, 1422, 2431, 264, 8607, 8607, 575, 284, 325, 13375, 263, 1535, 1422, 2431, 22491, 3383, 1384, 258, 21070, 13804, 3363, 19577, 692, 23763, 547, 1265, 519, 9588, 540, 513, 6152, 2496, 2791, 3833, 3274, 723, 547, 917, 602, 1384, 259, 346, 1422, 3847, 347, 1422, 8974, 1467, 2715, 642, 7684, 1422, 2431, 347, 7684, 3867, 476, 273, 7684, 28121, 1422, 8974, 1467, 2715, 642, 7684, 7684, 3867, 476, 273, 476, 10592, 4517, 602, 952, 1384, 7445, 8974, 1467, 2715, 642, 7684, 31386, 3847, 263, 1422, 8218, 346, 9795, 348, 1535, 8607, 586, 8607, 1990, 1422, 754, 346, 9795, 348, 1422, 2431, 264, 2073, 315, 15153, 2715, 1422, 8974, 1467, 2715, 642, 7684, 7684, 3867, 476, 273, 7684, 28121, 1535, 7684, 3867, 476, 273, 7684, 266, 346, 586, 7684, 3867, 476, 273, 7684, 266, 346, 1990, 7684, 3867, 476, 273, 476, 10592, 3383, 1384, 259, 2252, 315, 15153, 2715, 1422, 8974, 1467, 2715, 642, 7684, 7684, 3867, 476, 273, 7684, 28121, 1535, 7684, 3867, 476, 273, 7684, 266, 346, 586, 7684, 3867, 476, 273, 7684, 266, 346, 1990, 7684, 3867, 476, 273, 7684, 267, 11138, 8607, 1422, 11004, 1150, 1422, 15153, 2715, 1422, 3847, 347, 1422, 8974, 1467, 2715, 642, 7684, 1422, 2431, 347, 7684, 3867, 476, 273, 7684, 28121, 1535, 7684, 3867, 476, 273, 7684, 266, 346, 586, 7684, 3867, 476, 273, 7684, 266, 346, 1990, 7684, 3867, 476, 273, 476, 27874, 8607, 1422, 11004, 1150, 1422, 15153, 1422, 3847, 347, 1422, 8974, 1467, 2715, 642, 7684, 1422, 2431, 347, 31386, 6912, 2715, 2715, 1535, 7684, 3867, 476, 273, 7684, 266, 346, 586, 7684, 3867, 476, 273, 7684, 266, 346, 1990, 7684, 3867, 476, 273, 7684, 7684, 8607, 6911, 258, 21070, 19577, 1107, 24234, 9737, 5565, 966, 26662, 692, 3682, 557, 602, 1384, 259, 6523, 24592, 31386, 2765, 2715, 1422, 8974, 1467, 2715, 513, 7684, 1422, 10383, 1422, 8974, 1467, 2715, 536, 7684, 25452, 1422, 3847, 347, 1422, 8974, 1467, 2715, 513, 7684, 1422, 2431, 347, 1422, 3847, 347, 1422, 8974, 1467, 2715, 536, 7684, 1422, 2431, 347, 476, 10592, 20058, 267, 1413, 693, 519, 3239, 2630, 1384, 9827, 917, 602, 1384, 259, 6523, 290, 7807, 2765, 2715, 2715, 513, 7684, 3867, 476, 273, 7684, 266, 346, 536, 7684, 3867, 476, 273, 7684, 268, 346, 524, 7684, 3867, 476, 273, 7684, 25452, 476, 273, 629, 476, 10592, 7445, 3847, 347, 1422, 8974, 1467, 2715, 513, 7684, 1422, 2431, 347, 1422, 3847, 347, 1422, 8974, 1467, 2715, 513, 7684, 1422, 2431, 347, 815, 346, 1422, 8974, 1467, 2715, 513, 7684, 7684, 3867, 476, 273, 476, 27874, 8607, 1422, 3847, 347, 1422, 8974, 1467, 2715, 536, 7684, 1422, 2431, 347, 1422, 3847, 347, 1422, 8974, 1467, 2715, 536, 7684, 1422, 2431, 347, 815, 346, 1422, 8974, 1467, 2715, 536, 7684, 7684, 3867, 476, 273, 476, 27874, 8607, 1422, 3847, 347, 1422, 8974, 1467, 2715, 536, 7684, 28363, 8974, 1467, 2715, 513, 7684, 1422, 2431, 347, 1422, 3847, 347, 1422, 8974, 1467, 2715, 536, 7684, 28363, 8974, 1467, 2715, 513, 7684, 1422, 2431, 347, 815, 346, 1422, 3847, 263, 1422, 8974, 1467, 2715, 536, 7684, 28363, 8974, 1467, 2715, 513, 7684, 1422, 2431, 264, 7684, 3867, 476, 273, 476, 10592, 5804, 519, 3239, 267, 596, 3580, 581, 2111, 547, 1294, 602, 1384, 259, 320, 7807, 3847, 347, 1422, 8974, 1467, 2715, 536, 7684, 1422, 2431, 347, 8607, 8607, 536, 7807, 3847, 347, 1422, 8974, 1467, 2715, 513, 7684, 1422, 2431, 347, 8607, 8607, 524, 7807, 3847, 347, 1422, 8974, 1467, 2715, 536, 7684, 28363, 8974, 1467, 2715, 513, 7684, 1422, 2431, 347, 8607, 8607, 5430, 290, 284, 6523, 24592, 2073, 315, 15153, 1422, 11004, 1150, 1422, 15153, 595, 7807, 9064, 6911, 3086, 1384, 258, 1403, 586, 284, 5913, 343, 267, 10085, 7933, 343, 284, 5913, 868, 534, 343, 692, 3682, 557, 602, 1384, 259, 344, 284, 5913, 343, 12101, 15153, 1422, 2765, 2715, 10085, 25452, 15848, 7684, 815, 5913, 868, 534, 343, 6911, 27893, 1384, 258, 1403, 586, 284, 11927, 343, 267, 10085, 7933, 343, 14352, 5913, 343, 8203, 273, 692, 3682, 557, 602, 952, 1384, 259, 344, 284, 11927, 343, 12101, 15153, 1422, 2765, 2715, 10085, 25452, 15848, 7684, 815, 346, 3813, 7684, 3867, 476, 273, 7684, 343, 6911, 27893, 1384, 3682, 557, 602, 952, 1384, 259, 344, 284, 339, 1678, 343, 12101, 15153, 1422, 2765, 2715, 10085, 25452, 15848, 7684, 815, 330, 346, 3813, 7684, 3867, 476, 273, 7684, 330, 343, 6911, 27893, 1384, 259, 344, 284, 339, 1678, 343, 284, 11927, 340, 11138, 8607, 1422, 2765, 2715, 10085, 25452, 5918, 7684, 815, 346, 3813, 7684, 3867, 476, 273, 7684, 340, 267, 11138, 8607, 579, 284, 330, 343, 12101, 15153, 1422, 2765, 2715, 5918, 25452, 15848, 7684, 815, 330, 11138, 8607, 1422, 2765, 2715, 5918, 25452, 15848, 7684, 1422, 10383, 1422, 2765, 2715, 10085, 25452, 5918, 7684, 815, 330, 346, 3813, 7684, 3867, 476, 273, 7684, 330, 343, 11138, 8607, 1422, 11004, 1150, 1422, 15153, 1422, 2765, 2715, 10085, 25452, 15848, 7684, 815, 330, 346, 3813, 7684, 3867, 476, 273, 7684, 330, 343, 259, 0, 2862, 307, 11219, 7417, 692, 25721, 928, 22027, 2312, 737, 732, 514, 705, 29243, 1952, 630, 279, 2412, 31239, 31239, 271, 264, 1612, 536, 6062, 269, 8347, 621, 1631, 780, 12812, 7726, 547, 5192, 5131, 12226, 692, 1607, 11422, 1281, 711, 1489, 519, 3381, 3693, 780, 303, 6369, 312, 538, 6673, 303, 692, 303, 6369, 312, 28313, 692, 276, 281, 2004, 692, 9223, 3245, 1362, 476, 1321, 3848, 808, 7417, 10790, 27486, 692, 763, 3830, 540, 519, 5858, 2348, 922, 8998, 593, 519, 1899, 543, 8429, 998, 519, 2798, 540, 10167, 540, 519, 10580, 568, 524, 780, 8340, 519, 3830, 540, 519, 5858, 8429, 998, 519, 1448, 540, 10167, 540, 519, 10580, 543, 609, 922, 8998, 593, 519, 1899, 454, 278, 281, 7871, 454, 763, 3830, 540, 519, 5858, 2348, 519, 4099, 593, 519, 1899, 543, 8429, 998, 519, 1448, 10167, 540, 519, 10580, 568, 454, 276, 281, 6078, 454, 8340, 519, 3830, 540, 519, 5858, 8429, 998, 519, 10167, 540, 519, 10580, 543, 543, 15700, 519, 1899, 454, 279, 281, 3374, 454, 13750, 618, 476, 272, 2433, 634, 4834, 540, 519, 2786, 3515, 11836, 519, 5169, 547, 519, 2798, 540, 10167, 540, 543, 568, 1547, 15048, 476, 273, 2433, 568, 519, 1455, 16147, 540, 543, 454, 272, 281, 7906, 454, 763, 3830, 540, 519, 5858, 2348, 922, 8998, 593, 519, 1899, 543, 8429, 998, 519, 2798, 540, 10167, 540, 519, 10580, 568, 454, 280, 281, 2641, 454, 763, 3830, 540, 519, 5858, 8429, 998, 519, 1448, 540, 10167, 540, 519, 10580, 543, 2348, 922, 8998, 593, 568, 2433, 630, 288, 264, 630, 289, 264, 630, 290, 264, 630, 291, 264, 9039, 540, 891, 454, 278, 281, 1724, 454, 8340, 519, 3830, 540, 1899, 11836, 519, 4099, 540, 519, 10580, 543, 454, 274, 281, 4962, 454, 16248, 5011, 540, 513, 6906 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1405, 14145, 633, 3054, 540, 707, 5172, 3536, 7357, 267, 855, 12990, 8902, 14906, 1431, 950, 2009, 269, 1411, 991, 547, 1174, 519, 9422, 1543, 540, 519, 1426, 596, 3548, 267, 1018, 8925, 2291, 267, 543, 3442, 519, 8925, 602, 616, 8902, 538, 1543, 269, 901, 814, 1831, 4443, 1631, 602, 513, 2603, 540, 552, 831, 625, 2709, 713, 1344, 28560, 596, 1616, 547, 723, 513, 9422, 2732, 267, 621, 568, 1271, 602, 596, 723, 827, 476, 279, 13728, 540, 10709, 5779, 1142, 1554, 269, 14856, 2614, 5779, 849, 5849, 602, 596, 616, 3478, 7899, 540, 3940, 543, 4401, 269, 15474, 16469, 1331, 536, 2581, 543, 9006, 2581, 5861, 976, 2541, 1447, 6070, 269, 1411, 1522, 711, 581, 14281, 547, 1451, 602, 3728, 1426, 568, 16041, 609, 6070, 269, 1403, 596, 1376, 17444, 1394, 593, 875, 1454, 6070, 596, 3548, 1142, 1554, 267, 596, 949, 2253, 711, 6005, 519, 8137, 540, 6070, 811, 1419, 982, 1354, 269, 1133, 11794, 3536, 1522, 1376, 547, 6492, 1932, 30644, 269, 1411, 4465, 1405, 1616, 547, 3548, 873, 607, 1419, 269, 21156, 540, 1210, 2666, 14132, 267, 2119, 1210, 2666, 21429, 6089, 269, 901, 786, 2759, 1524, 593, 15459, 3170, 543, 8477, 269, 5269, 2386, 596, 946, 21429, 6089, 2094, 4158, 5779, 3884, 1405, 1454, 1114, 982, 2666, 14132, 538, 2474, 540, 5567, 269, 5269, 2386, 596, 1810, 1405, 10544, 1175, 1022, 2666, 21429, 267, 607, 1152, 519, 10709, 518, 13980, 616, 8902, 982, 2699, 5779, 269, 2521, 532, 547, 3548, 1447, 2699, 5779, 286, 1403, 865, 267, 946, 621, 607, 513, 2427, 3079, 540, 607, 513, 1292, 8670, 269, 5502, 540, 1818, 5779, 519, 1292, 8670, 267, 6451, 621, 883, 6980, 1759, 593, 5388, 543, 2635, 9274, 269, 901, 29316, 1505, 568, 2442, 538, 3309, 4529, 267, 1519, 4457, 543, 11335, 1426, 625, 2529, 531, 3000, 568, 513, 1390, 1426, 585, 596, 609, 1082, 2635, 2640, 269, 20363, 814, 513, 2603, 540, 1312, 562, 13519, 514, 543, 15060, 268, 274, 781, 269, 26102, 268, 274, 9761, 7408, 798, 1082, 1919, 585, 596, 267, 899, 8165, 4965, 267, 2860, 543, 2295, 2152, 269, 634, 562, 13519, 514, 2337, 588, 718, 12216, 781, 689, 2921, 936, 269, 1677, 2569, 519, 1981, 540, 4189, 6757, 6464, 267, 2141, 3442, 3552, 13687, 936, 3484, 539, 13687, 11065, 8898, 3536, 616, 1454, 1732, 982, 22304, 950, 7421, 9422, 1871, 269, 645, 8898, 3536, 616, 2356, 1732, 585, 596, 543, 789, 723, 2539, 19719, 267, 8477, 267, 543, 11041, 982, 22304, 3536, 269, 1411, 786, 1265, 602, 596, 616, 2484, 811, 17615, 950, 596, 3548, 1152, 1072, 1176, 19323, 3536, 269, 2467, 568, 865, 1454, 547, 1451, 543, 891, 4388, 723, 2016, 596, 1082, 3877, 827, 6484, 269, 1452, 4388, 666, 948, 596, 3605, 875, 547, 1655, 1491, 1416, 540, 707, 1560, 269, 9861, 543, 9363, 538, 1434, 1072, 1797, 4758, 707, 1560, 1018, 621, 2115, 269, 14068, 1919, 666, 4755, 952, 596, 798, 711, 1445, 593, 6484, 269, 1452, 4388, 786, 948, 2061, 1022, 2042, 269, 0, 306, 5058, 4338, 16800, 281, 25667, 568, 8375, 3728, 538, 14913, 5607, 267, 8380, 513, 8833, 593, 3782, 1949, 543, 2229, 23348, 267, 3226, 538, 2477, 899, 17111, 543, 12868, 267, 2687, 547, 1382, 689, 674, 3558, 10298, 5839, 549, 3194, 563, 309, 28126, 1185, 519, 7887, 2333, 538, 519, 1297, 540, 17324, 1004, 1107, 1346, 609, 513, 1560, 2527, 4994, 1657, 476, 1839, 1107, 538, 519, 2947, 1296, 998, 476, 1001, 275, 267, 693, 476, 4343, 9077, 4553, 676, 12868, 693, 476, 3451, 18336, 4913, 267, 607, 513, 8167, 540, 519, 2551, 267, 10476, 1869, 1185, 519, 9803, 2671, 540, 17324, 693, 476, 274, 269, 277, 9077, 2484, 3297, 17111, 779, 476, 1724, 269, 274, 260, 543, 3379, 609, 12868, 779, 476, 276, 269, 278, 18336, 10527, 5355, 2804, 4441, 538, 519, 3148, 723, 4547, 827, 6197, 2242, 267, 799, 538, 2490, 723, 3366, 547, 513, 6521, 547, 811, 14432, 11326, 2223, 2687, 547, 519, 674, 3558, 1867, 563, 2108, 15933, 540, 1970, 9422, 1871, 568, 811, 3362, 543, 4922, 2139, 1813, 547, 922, 1970, 1942, 543, 519, 4367, 543, 10073, 540, 5375, 8192, 6208, 3034, 763, 1072, 4220, 540, 8375, 8377, 1267, 538, 20387, 3782, 3790, 585, 2126, 540, 5312, 3676, 1519, 3987, 543, 2295, 2068, 267, 519, 674, 3558, 19767, 1767, 563, 22416, 904, 807, 814, 519, 5207, 3790, 607, 513, 1267, 540, 1164, 8377, 267, 1818, 909, 607, 1454, 607, 513, 476, 736, 260, 2671, 540, 2949, 3782, 7836, 267, 789, 7447, 563, 763, 1867, 3085, 1406, 7291, 519, 3268, 3144, 2094, 476, 1001, 275, 547, 8396, 8377, 538, 14913, 5607, 269, 17111, 267, 585, 835, 267, 13684, 606, 2300, 1047, 3454, 540, 476, 271, 269, 2412, 8258, 326, 527, 829, 1396, 516, 593, 26437, 6653, 2989, 16098, 267, 689, 4829, 23238, 547, 2571, 10425, 267, 4358, 5147, 476, 272, 563, 763, 682, 11803, 608, 11079, 10425, 5423, 543, 6039, 693, 14060, 607, 1134, 607, 8216, 30012, 563, 14976, 572, 3602, 538, 5607, 267, 3162, 9705, 1185, 513, 476, 4343, 260, 2333, 538, 17324, 1004, 538, 519, 2947, 4458, 1974, 267, 8380, 873, 693, 476, 276, 269, 279, 260, 540, 519, 2551, 269, 769, 519, 2475, 267, 519, 1297, 540, 17324, 9782, 476, 279, 260, 547, 476, 3451, 269, 278, 260, 540, 519, 2551, 563, 763, 7914, 538, 8377, 538, 1082, 2477, 998, 476, 1001, 275, 11503, 513, 3476, 3856, 7678, 538, 5607, 7414, 689, 476, 1960, 271, 267, 950, 476, 4097, 269, 277, 260, 540, 4079, 941, 14968, 610, 17324, 269, 1635, 476, 1001, 274, 267, 602, 512, 958, 1185, 24111, 547, 476, 2412, 269, 280, 9077, 519, 1239, 1397, 563, 763, 13372, 6743, 3833, 16013, 3379, 547, 922, 9905, 281, 3807, 476, 276, 269, 272, 260, 540, 519, 2551, 729, 17324, 538, 476, 1001, 275, 267, 609, 513, 2208, 2557, 540, 476, 277, 260, 689, 476, 1001, 271, 998, 476, 1001, 275, 269, 0, 16920, 6421, 19331, 731, 519, 15952, 454, 1607, 3184, 2882, 10253, 593, 6216, 8456, 267, 799, 3277, 547, 1808, 8658, 540, 3156, 269, 901, 4336, 4564, 513, 6482, 1907, 602, 6725, 3173, 666, 946, 547, 2708, 6800, 262, 8456, 4724, 4357, 2000, 8475, 12478, 269, 3117, 28366, 262, 8456, 2099, 513, 22294, 540, 519, 6725, 543, 7082, 1382, 3332, 269, 5900, 6421, 616, 3989, 607, 1367, 4835, 20241, 540, 606, 1843, 971, 789, 3277, 547, 513, 1533, 602, 568, 4835, 547, 519, 1367, 267, 543, 789, 616, 2141, 9859, 4724, 606, 1843, 269, 1358, 616, 9434, 267, 607, 789, 22036, 936, 942, 267, 543, 789, 3335, 1331, 28146, 267, 8965, 543, 5042, 3334, 269, 634, 2956, 540, 6800, 262, 8456, 585, 6725, 3173, 568, 1644, 547, 519, 1249, 602, 621, 814, 1044, 3254, 602, 8456, 666, 3391, 2104, 7180, 543, 267, 538, 513, 6725, 2796, 267, 602, 789, 666, 3589, 8965, 15752, 269, 5221, 540, 519, 31344, 1275, 540, 7082, 8456, 585, 896, 560, 908, 7082, 7180, 267, 6725, 3173, 723, 1044, 12926, 7255, 609, 519, 6482, 540, 8456, 4724, 513, 21318, 540, 3615, 267, 1519, 12478, 540, 4325, 1513, 1299, 19453, 269, 0, 28557, 1913, 585, 1919, 734, 3963, 621, 568, 1271, 547, 3717, 31180, 734, 307, 21542, 268, 571, 3766, 328, 734, 5278, 811, 4555, 689, 654, 24513, 1231, 4563, 325, 2135, 267, 769, 10008, 454, 21801, 476, 277, 267, 476, 1001, 275, 454, 5278, 1913, 602, 1004, 2161, 267, 855, 1810, 1406, 8275, 602, 789, 616, 711, 6031, 2407, 17578, 320, 268, 571, 3766, 328, 1913, 912, 272, 11607, 623, 869, 1107, 634, 25956, 610, 519, 1907, 1031, 585, 726, 12976, 1107, 10144, 2161, 12821, 1673, 320, 268, 1663, 30559, 1673, 9217, 1040, 2334, 1797, 547, 726, 578, 269, 634, 2347, 2262, 568, 12821, 1673, 320, 268, 1663, 30559, 28273, 2389, 328, 585, 519, 1907, 1031, 547, 726, 578, 609, 563, 273, 11607, 6755, 4290, 1107, 25956, 585, 1603, 1107, 4658, 2161, 1107, 4144, 30559, 32734, 2000, 334, 1673, 9217, 264, 1547, 2334, 1797, 547, 2328, 563, 763, 2347, 2262, 568, 4144, 30559, 32734, 2000, 334, 28273, 2389, 328, 585, 519, 1907, 547, 2328, 609, 563, 274, 11607, 670, 4141, 268, 15484, 585, 670, 27739, 18047, 1547, 4658, 2161, 268, 12821, 2000, 334, 30559, 1673, 9217, 264, 1547, 2334, 1797, 547, 670, 4141, 1547, 634, 2347, 2262, 568, 12821, 2000, 334, 30559, 28273, 2389, 328, 585, 519, 1907, 670, 4141, 454, 275, 11607, 1744, 334, 767, 268, 15484, 1031, 585, 20857, 610, 16116, 909, 1570, 1547, 4658, 2161, 32748, 1673, 320, 3766, 328, 1606, 1673, 9217, 264, 1547, 2334, 1797, 547, 15524, 767, 269, 634, 2347, 2262, 568, 589, 10275, 334, 1673, 320, 3766, 328, 1606, 28273, 26817, 585, 519, 1907, 563, 4322, 616, 930, 1806, 855, 972, 616, 4440, 513, 2603, 811, 269, 769, 1931, 585, 1004, 547, 1451, 519, 1483, 17578, 320, 268, 571, 3766, 328, 268, 2262, 267, 782, 519, 861, 718, 1963, 540, 519, 2347, 2262, 1590, 581, 9275, 610, 3116, 649, 2461, 1175, 27613, 723, 513, 1106, 540, 17578, 320, 268, 571, 3766, 328, 1547, 634, 26189, 528, 1590, 917, 519, 2347, 2262, 563, 3086, 602, 649, 4121, 713, 1360, 2370, 6749, 538, 519, 19943, 2073, 18484, 1406, 2503, 1152, 519, 4325, 5474, 547, 4163, 593, 1547, 634, 786, 581, 8854, 4166, 543, 519, 1152, 3283, 602, 786, 1174, 17578, 320, 268, 571, 3766, 328, 786, 581, 519, 5243, 543, 519, 2831, 269, 1879, 594, 729, 513, 7911, 538, 26728, 1111, 1144, 2073, 10998, 2073, 519, 4587, 1004, 1131, 2995, 721, 835, 1554, 4166, 538, 519, 2104, 602, 782, 31180, 1131, 581, 3043, 269, 1358, 4769, 1406, 1611, 602, 972, 9327, 1406, 1022, 4258, 6593, 525, 2451, 269, 1358, 6497, 602, 519, 1152, 5678, 602, 1131, 581, 9275, 1934, 1131, 581, 2296, 630, 24204, 2914, 320, 24179, 340, 9984, 928, 3766, 320, 30155, 2171, 1590, 1451, 8109, 31180, 12480, 624, 267, 538, 1931, 547, 1869, 581, 8109, 4258, 6593, 525, 269, 3776, 1893, 14439, 945, 649, 616, 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 ]
[ 22373, 13640, 529, 2580, 834, 299, 4068, 2580, 834, 291, 6359, 517, 257, 16689, 258, 672, 834, 30051, 9899, 22373, 29155, 4802, 2580, 834, 295, 27304, 2580, 834, 1805, 18636, 326, 691, 31116, 258, 7684, 692, 258, 1948, 301, 20535, 513, 9218, 538, 513, 9218, 454, 258, 4872, 318, 6665, 1243, 815, 13634, 258, 672, 834, 293, 8896, 9899, 13634, 258, 1363, 834, 322, 885, 318, 6665, 1243, 9899, 22373, 13640, 529, 2580, 834, 299, 4068, 2580, 834, 291, 6359, 517, 257, 16689, 258, 1363, 834, 20135, 318, 6665, 1080, 9899, 476, 1321, 454, 258, 1363, 7684, 2676, 258, 672, 834, 30051, 9899, 13634, 258, 1363, 834, 322, 885, 318, 6665, 1243, 9899, 22373, 29155, 4802, 2580, 834, 295, 27304, 2580, 834, 1805, 18636, 326, 691, 257, 16689, 258, 1363, 834, 20135, 318, 6665, 1080, 9899, 476, 1321, 454, 258, 672, 7684, 454, 258, 7684, 692, 258, 1948, 301, 20535, 513, 9218, 538, 513, 5903, 454, 258, 4872, 318, 6665, 1243, 815, 1496, 454, 258, 672, 13634, 258, 1363, 834, 15575, 787, 9899, 834, 293, 8896, 20350, 258, 1363, 834, 322, 885, 318, 6665, 1243, 9899, 22373, 13640, 529, 2580, 834, 299, 4068, 2580, 834, 291, 6359, 517, 257, 16689, 258, 1363, 834, 20135, 318, 6665, 1080, 9899, 476, 1321, 454, 258, 672, 7684, 2676, 258, 672, 13634, 258, 1363, 834, 15575, 787, 9899, 834, 30051, 20350, 258, 1363, 834, 322, 885, 318, 6665, 1243, 9899, 22373, 29155, 4802, 2580, 834, 295, 27304, 2580, 834, 1805, 18636, 326, 691, 257, 16689, 258, 1363, 834, 20135, 318, 6665, 1080, 9899, 476, 1321, 454, 258, 672, 7684, 454, 258, 23378, 258, 1820, 6262, 885, 318, 6665, 1243, 314, 271, 6012, 257, 322, 885, 318, 6665, 1243, 257, 6012, 273, 7481, 258, 815, 25275, 25275, 4499, 2525, 23751, 258, 2951, 318, 8421, 815, 1496, 454, 258, 13634, 258, 567, 834, 12248, 787, 9899, 834, 293, 8896, 20350, 258, 567, 834, 6665, 1080, 9899, 476, 1321, 2676, 258, 567, 834, 322, 885, 9899, 22373, 13640, 529, 2580, 834, 299, 4068, 2580, 834, 291, 6359, 517, 31116, 258, 7684, 2676, 258, 13634, 258, 567, 834, 12248, 787, 9899, 834, 30051, 20350, 258, 567, 834, 6665, 1080, 9899, 476, 276, 2676, 258, 567, 834, 322, 885, 9899, 22373, 29155, 4802, 2580, 834, 295, 27304, 2580, 834, 1805, 18636, 326, 691, 31116, 258, 7684, 2676, 258, 23378, 258, 1948, 6930, 504, 357, 1684, 10691, 1689, 519, 3009, 1657, 692, 258, 1948, 1729, 581, 3773, 547, 519, 2951, 318, 8421, 269, 26461, 485, 454, 258, 1219, 1039, 318, 2908, 18045, 787, 6262, 870, 787, 267, 2053, 318, 6665, 1243, 267, 4872, 318, 6665, 1243, 2187, 258, 672, 1948, 3036, 692, 258, 672, 1948, 1007, 18045, 787, 815, 31460, 258, 672, 1948, 1007, 18045, 787, 14277, 12248, 787, 19312, 815, 2197, 454, 258, 672, 1948, 1007, 18045, 787, 14277, 6665, 1080, 19312, 815, 2053, 318, 6665, 1243, 454, 258, 672, 1948, 1007, 18045, 787, 14277, 322, 885, 19312, 815, 4872, 318, 6665, 1243, 454, 258, 672, 1948, 2951, 318, 8421, 6910, 28956, 18045, 787, 9239, 258, 672, 2951, 318, 8421, 6910, 263, 19127, 258, 1363, 834, 12248, 787, 9899, 2197, 2676, 258, 1363, 834, 6665, 1080, 9899, 2053, 318, 6665, 1243, 2676, 258, 1363, 834, 322, 885, 9899, 4872, 318, 6665, 1243, 454, 258, 1363, 7684, 9239, 258, 1948, 6930, 504, 357, 1684, 711, 1689, 519, 3009, 2630, 454, 258, 1039, 318, 2908, 18045, 787, 2891, 305, 17892, 2580, 476, 273, 267, 22373, 300, 17398, 2580, 834, 306, 5593, 22642, 7921, 257, 7481, 258, 1820, 6025, 30584, 318, 8421, 2020, 258, 815, 25275, 25275, 4499, 2525, 23751, 258, 5728, 25488, 3135, 454, 5228, 1148, 1104, 20446, 318, 879, 794, 692, 2745, 263, 8421, 334, 318, 879, 794, 994, 321, 1342, 619, 318, 19989, 815, 6936, 454, 321, 1749, 815, 11713, 6112, 536, 1342, 619, 318, 19989, 1384, 825, 536, 1342, 518, 12173, 815, 3403, 2891, 1432, 568, 707, 2012, 286, 281, 19515, 825, 536, 1342, 518, 318, 26920, 815, 10581, 9272, 2891, 1432, 781, 707, 19915, 286, 281, 27328, 825, 1776, 10734, 1342, 518, 815, 3403, 2891, 8133, 610, 1100, 630, 344, 1315, 562, 21663, 281, 834, 1040, 12294, 30800, 825, 1219, 536, 27570, 318, 13318, 656, 28442, 267, 2179, 2187, 1038, 1007, 10734, 573, 815, 13634, 2018, 834, 4067, 9899, 2012, 2676, 2018, 834, 26920, 9899, 2179, 454, 1038, 7684, 454, 1038, 536, 1749, 6910, 28956, 10734, 573, 994, 1038, 1820, 19629, 30033, 314, 295, 315, 30033, 314, 297, 257, 9239, 825, 536, 27570, 318, 13318, 656, 6357, 1342, 518, 12173, 267, 536, 1342, 518, 318, 26920, 994, 825, 952, 1776, 10734, 1342, 518, 2652, 834, 333, 13426, 1038, 536, 1342, 619, 318, 19989, 815, 8771, 692, 10946, 815, 476, 271, 454, 321, 1342, 518, 815, 834, 4840, 1721, 19915, 538, 536, 1749, 912, 825, 952, 19915, 14277, 26920, 19312, 3436, 3193, 912, 1038, 3193, 815, 19915, 14277, 26920, 31116, 1038, 536, 1342, 518, 815, 19915, 14277, 4067, 257, 6540, 2745, 6600, 257, 10946, 568, 2715, 10946, 348, 543, 519, 536, 1342, 518, 568, 2715, 321, 1342, 518, 348, 5602, 0, 5814, 4351, 1477, 5228, 14854, 1104, 25725, 267, 24897, 5897, 258, 15854, 815, 25725, 14052, 31653, 815, 24897, 14052, 258, 5496, 269, 4289, 523, 14052, 258, 1477, 258, 1477, 258, 1219, 1847, 318, 1721, 2072, 28399, 258, 672, 15854, 269, 3453, 263, 1015, 3418, 258, 1477, 258, 1477, 258, 1219, 1847, 318, 3724, 2072, 28399, 258, 672, 15854, 269, 3724, 263, 1015, 3418, 258, 1477, 258, 1477, 258, 1219, 2490, 318, 2431, 28399, 258, 672, 15854, 16192, 263, 1428, 3418, 258, 1477, 258, 1477, 258, 1219, 2490, 318, 3847, 28399, 258, 672, 15854, 16000, 263, 1428, 3418, 258, 1477, 258, 1477, 258, 5496, 269, 517, 4486, 31107, 6889, 342, 2580, 1187, 284, 332, 913, 318, 1721, 2072, 3418, 258, 5496, 269, 517, 4486, 31107, 6889, 338, 2580, 1187, 284, 332, 913, 318, 3724, 2072, 3418, 258, 5496, 269, 517, 4486, 31107, 6889, 323, 2580, 1187, 284, 339, 1248, 318, 2431, 3418, 258, 5496, 269, 517, 4486, 31107, 6889, 320, 2580, 1187, 284, 339, 1248, 318, 3847, 3418, 258, 5496, 269, 517, 4486, 31107, 6889, 322, 2580, 1187, 284, 323, 534, 269, 27234, 3418, 258, 24653, 258, 815, 25275, 25275, 7529, 2525, 5897, 258, 4626, 3240, 815, 25725, 14052, 258, 9723, 3240, 815, 25725, 14052, 258, 1477, 258, 4626, 3240, 269, 10233, 2891, 19990, 14744, 258, 9723, 3240, 269, 10233, 2891, 20580, 921, 14744, 258, 1477, 258, 4626, 3240, 269, 3453, 263, 1015, 3418, 258, 9723, 3240, 4877, 523, 1575, 14052, 258, 9723, 3240, 3052, 9369, 263, 271, 267, 5496, 269, 4754, 341, 19417, 910, 476, 272, 3418, 258, 9723, 3240, 269, 3453, 263, 736, 10142, 258, 815, 25275, 25275, 7529, 4499, 2525, 1477, 339, 574, 3240, 815, 25725, 14052, 339, 20207, 815, 25725, 14052, 329, 574, 3240, 815, 25725, 14052, 329, 7897, 5500, 815, 25725, 14052, 330, 10154, 815, 25725, 14052, 326, 29422, 815, 25725, 14052, 339, 4669, 956, 815, 1496, 339, 574, 3240, 267, 9723, 3240, 267, 795, 574, 3240, 267, 14646, 5500, 267, 737, 10154, 267, 575, 29422, 15947, 3712, 832, 815, 22373, 1042, 2580, 834, 528, 1052, 2580, 834, 344, 3641, 2580, 834, 13582, 2580, 834, 19990, 2580, 834, 20580, 921, 257, 15947, 10233, 15220, 4069, 815, 476, 271, 1477, 1721, 14854, 538, 16015, 6769, 825, 14854, 17482, 2891, 339, 31103, 14744, 825, 14854, 4877, 523, 1575, 14052, 825, 14854, 269, 10233, 263, 3712, 832, 314, 10233, 15220, 4069, 29573, 825, 2681, 15220, 4069, 6834, 476, 272, 5897, 31653, 15630, 1575, 263, 12296, 284, 4335, 267, 4463, 284, 6110, 3418, 12528, 10734, 564, 815, 5496, 269, 3667, 6358, 6025, 1856, 6889, 13014, 707, 914, 2580, 5401, 284, 325, 257, 7617, 14854, 786, 3094, 519, 5198, 286, 9373, 513, 2681, 630, 346, 3712, 832, 348, 2567, 834, 3418, 2745, 263, 12528, 10734, 564, 3418, 5897, 3698, 979, 15461, 318, 11034, 318, 6570, 6025, 31103, 8217, 8029, 825, 586, 19056, 815, 910, 1911, 1477, 825, 585, 9041, 339, 31103, 538, 14854, 8217, 6769, 1038, 9041, 339, 31103, 3052, 9369, 3287, 15871, 15996, 267, 586, 284, 344, 19056, 3418, 1038, 586, 19056, 6834, 476, 2004, 24653, 3698, 1376, 318, 15869, 28399, 825, 9096, 318, 1467, 815, 5496, 269, 4754, 341, 12296, 1315, 476, 273, 1477, 825, 1820, 6600, 257, 21129, 880, 1899, 568, 693, 2715, 21129, 880, 318, 1467, 348, 14744, 825, 4351, 5334, 32497, 815, 22373, 9724, 652, 2580, 834, 9724, 2580, 834, 7538, 2580, 834, 338, 869, 2580, 834, 338, 869, 652, 257, 15947, 825, 4351, 5091, 2700, 815, 1496, 275, 267, 476, 279, 267, 476, 1321, 267, 476, 1626, 267, 476, 736, 15947, 825, 568, 318, 571, 1424, 815, 6936, 1477, 825, 1247, 568, 318, 571, 1424, 6769, 1038, 585, 17040, 4671, 31103, 538, 16015, 6769, 2018, 17040, 4671, 31103, 269, 3453, 263, 12690, 26716, 4069, 263, 12690, 5091, 2700, 17903, 2018, 1948, 17040, 4671, 31103, 4732, 32497, 263, 12690, 26716, 4069, 263, 12690, 5334, 32497, 17903, 2018, 1820, 263, 571, 1424, 4671, 31103, 11859, 14585, 3890, 3418, 2018, 952, 17040, 4671, 31103, 11859, 14585, 3890, 13843, 9096, 318, 1467, 6769, 3546, 16771, 318, 10233, 815, 17040, 4671, 31103, 269, 10233, 3890, 314, 271, 15947, 3546, 1820, 6600, 257, 346, 7773, 1676, 318, 10233, 348, 814, 4465, 14744, 3546, 952, 3593, 10734, 564, 2652, 16771, 318, 10233, 6769, 7386, 1820, 2891, 2791, 4465, 707, 914, 14744, 3546, 3116, 6769, 7386, 1820, 2891, 2791, 4503, 707, 914, 14744, 3546, 568, 318, 571, 1424, 815, 8771, 1477, 3546, 2736, 24653, 2998, 15461, 318, 11034, 318, 6570, 6025, 4669, 956, 3418, 11034, 318, 15869, 14052, 31653, 20216, 527, 517, 28781, 14052, 0, 258, 30319, 424, 500, 495, 17432, 506, 10563, 370, 506, 423, 510, 354, 425, 493, 361, 423, 356, 371, 5897, 2745, 2891, 346, 271, 348, 2668, 8971, 263, 4335, 4297, 476, 5897, 2745, 2891, 346, 271, 281, 3436, 1015, 348, 2668, 8971, 263, 4335, 4297, 1948, 423, 373, 486, 10563, 508, 494, 423, 355, 361, 32629, 498, 14091, 373, 482, 424, 505, 490, 423, 495, 494, 422, 372, 364, 267, 10563, 504, 364, 424, 372, 350, 10563, 510, 499, 423, 510, 361, 267, 476, 1015, 424, 373, 372, 14602, 502, 21844, 367, 369, 32174, 482, 29030, 503, 499, 423, 367, 368, 1477, 2745, 2891, 346, 271, 281, 3436, 266, 1015, 348, 2668, 8971, 263, 4335, 4297, 1948, 1341, 422, 372, 364, 425, 502, 372, 263, 266, 4335, 3418, 2745, 2891, 346, 271, 281, 3436, 266, 1015, 348, 2668, 8971, 8987, 4335, 4297, 1948, 910, 422, 372, 364, 425, 502, 372, 8987, 4335, 3418, 2745, 2891, 346, 271, 281, 318, 283, 1015, 348, 2668, 8971, 263, 4335, 4297, 1948, 423, 373, 486, 10563, 508, 494, 423, 355, 361, 32629, 498, 318, 423, 350, 506, 267, 10563, 351, 490, 424, 372, 350, 10563, 510, 499, 423, 510, 354, 267, 1015, 10563, 373, 372, 14602, 502, 21844, 367, 369, 32174, 482, 29030, 503, 499, 423, 367, 368, 5897, 2745, 2891, 346, 271, 281, 267, 348, 2668, 8971, 263, 1911, 1822, 1822, 876, 4297, 1948, 274, 28990, 494, 423, 355, 361, 14091, 356, 486, 30319, 10563, 377, 353, 423, 356, 486, 10563, 364, 491, 424, 500, 368, 424, 352, 376, 422, 372, 364, 1477, 2745, 2891, 346, 271, 281, 31956, 348, 2668, 8971, 263, 1911, 1822, 1822, 271, 4297, 1948, 266, 21844, 372, 364, 425, 502, 372, 1477, 2745, 2891, 346, 271, 281, 31956, 348, 2668, 8971, 8987, 1911, 1822, 1822, 876, 4297, 476, 5897, 2745, 2891, 346, 271, 281, 317, 283, 266, 1789, 267, 348, 2668, 8971, 263, 1911, 1822, 1822, 271, 264, 10142, 2745, 2891, 346, 271, 15545, 273, 325, 348, 2668, 8971, 263, 276, 270, 274, 4297, 1948, 424, 489, 353, 424, 486, 502, 21844, 364, 496, 10563, 370, 506, 423, 510, 354, 5897, 258, 32510, 499, 423, 355, 361, 1477, 258, 285, 1015, 263, 1015, 424, 373, 372, 21844, 367, 369, 32174, 482, 10563, 503, 376, 424, 359, 377, 10563, 510, 499, 423, 510, 361, 3418, 258, 283, 1015, 263, 1015, 424, 373, 372, 21844, 367, 369, 32174, 482, 10563, 502, 353, 423, 354, 372, 424, 359, 377, 10563, 510, 499, 423, 510, 361, 3418, 258, 346, 271, 281, 267, 348, 10563, 375, 368, 423, 356, 486, 32629, 498, 476, 274, 28990, 494, 423, 355, 361, 424, 498, 358, 10563, 375, 368, 423, 356, 486, 10563, 364, 491, 424, 500, 368, 424, 352 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 589, 267, 609, 513, 8701, 31736, 543, 606, 796, 12737, 539, 31736, 267, 2196, 585, 476, 272, 562, 338, 269, 3143, 6037, 6327, 2621, 7018, 693, 476, 271, 610, 476, 14596, 544, 309, 267, 609, 519, 5027, 4628, 6037, 20814, 693, 476, 12010, 544, 309, 269, 1234, 3438, 8271, 267, 519, 5027, 3029, 513, 1875, 31059, 267, 4552, 11017, 598, 4146, 585, 782, 13502, 269, 1703, 729, 1100, 12511, 4646, 267, 899, 918, 267, 543, 519, 13441, 568, 13380, 547, 519, 2418, 2938, 538, 645, 267, 595, 543, 667, 936, 513, 4130, 942, 4336, 269, 634, 9357, 3845, 4679, 676, 2810, 519, 4294, 661, 325, 563, 1607, 3296, 540, 2164, 3322, 519, 13502, 661, 267, 674, 543, 717, 267, 609, 513, 1875, 1790, 6897, 28973, 543, 20328, 476, 274, 685, 263, 10520, 9984, 276, 685, 263, 30241, 264, 476, 1321, 1067, 521, 338, 19091, 11140, 269, 29896, 661, 568, 14887, 982, 922, 1875, 3146, 951, 539, 11218, 645, 267, 609, 1152, 513, 9864, 6037, 6327, 2680, 9648, 693, 476, 14596, 544, 309, 269, 901, 7678, 729, 5892, 10567, 267, 607, 729, 519, 4389, 1216, 543, 9357, 13441, 2621, 269, 1280, 11191, 661, 693, 476, 271, 544, 309, 267, 972, 4667, 547, 581, 513, 12511, 8108, 267, 899, 645, 269, 1717, 267, 11191, 645, 814, 513, 1454, 2362, 1297, 540, 13441, 2621, 693, 476, 14596, 543, 476, 12010, 544, 309, 267, 1256, 1310, 970, 1905, 565, 908, 661, 779, 13441, 2621, 585, 513, 476, 276, 985, 2053, 7051, 630, 817, 11167, 513, 5276, 11144, 267, 689, 11708, 538, 30569, 667, 866, 268, 10619, 1040, 1717, 267, 621, 568, 1271, 547, 4063, 602, 519, 19469, 13441, 2621, 585, 661, 616, 2147, 547, 519, 2157, 2938, 1510, 1022, 5027, 269, 634, 3337, 2079, 729, 849, 6707, 10567, 267, 609, 519, 5027, 11140, 585, 661, 8566, 6905, 883, 513, 3476, 3337, 3379, 547, 519, 1875, 3146, 951, 539, 5027, 18843, 630, 289, 267, 595, 543, 667, 1040, 1717, 267, 713, 6905, 5027, 12122, 1869, 4667, 547, 4552, 11017, 693, 5111, 519, 1482, 2557, 607, 519, 1875, 3146, 951, 539, 5027, 11140, 563, 293, 2882, 513, 2318, 8258, 1369, 519, 31736, 267, 30122, 543, 7429, 11191, 595, 267, 713, 1840, 1281, 711, 512, 5930, 519, 5027, 547, 519, 31736, 269, 634, 5027, 538, 11191, 674, 1281, 711, 2170, 609, 519, 2318, 5279, 693, 782, 267, 609, 2407, 6037, 6327, 2621, 9648, 693, 476, 14596, 543, 476, 12010, 544, 309, 269, 901, 796, 30726, 2065, 7180, 568, 17695, 2213, 547, 2049, 1317, 540, 519, 1114, 267, 6905, 543, 9258, 12122, 540, 519, 5027, 269, 898, 814, 1044, 5892, 17695, 2213, 602, 13279, 540, 513, 476, 276, 685, 268, 628, 1348, 539, 814, 513, 811, 796, 22131, 20470, 12122, 1369, 513, 31736, 282, 2705, 267, 621, 729, 711, 10567, 602, 713, 27327, 538, 3337, 1131, 723, 971, 513, 1713, 1198, 593, 519, 6037, 6327, 2621, 269, 634, 20328, 476, 274, 685, 5027, 12122, 1281, 711, 2170, 609, 519, 2318, 1448, 2516, 538, 1022, 8101, 1259, 267, 538, 6476, 547, 519, 1875, 3146, 951, 539, 5027, 269, 589, 3069, 585, 713, 7180, 568, 602, 519, 20328, 12122, 568, 27390, 267, 865, 602, 519, 2942, 19552, 2516, 798, 711, 2170, 609, 519, 2318, 8258, 543, 519, 5027, 666, 4628, 6037, 11229, 563, 763, 3803, 20328, 5027, 11191, 729, 717, 269, 11088, 267, 713, 1185, 513, 14887, 6037, 6327, 9043, 3379, 547, 667, 630, 6518, 8659, 513, 1875, 3146, 951, 539, 5027, 11140, 1040, 10738, 11191, 717, 267, 519, 5027, 1705, 711, 4552, 11017, 1282, 519, 30810, 540, 519, 11191, 693, 476, 271, 543, 476, 14596, 544, 309, 269, 901, 1198, 568, 1179, 4327, 547, 2049, 1317, 540, 282, 922, 6905, 3337, 267, 519, 20328, 12122, 267, 610, 513, 4999, 540, 1312, 3137, 269, 1717, 267, 621, 779, 7543, 547, 2285, 513, 17386, 2601, 609, 519, 1699, 1239, 2139, 563, 8245, 1637, 661, 267, 674, 543, 717, 1397, 519, 1482, 7678, 540, 2539, 19469, 1216, 13441, 267, 3379, 547, 513, 1875, 3146, 951, 539, 5027, 1062, 269, 1717, 267, 585, 11191, 674, 543, 717, 972, 568, 1100, 12511, 4646, 693, 476, 271, 544, 309, 267, 799, 568, 26922, 547, 13502, 595, 543, 667, 269, 634, 9357, 13441, 585, 674, 2621, 6542, 519, 31797, 3361, 676, 519, 2407, 6037, 6327, 693, 476, 14596, 543, 476, 12010, 544, 309, 267, 609, 513, 2539, 2557, 3379, 547, 476, 271, 544, 309, 269, 1717, 267, 713, 1198, 568, 1447, 7805, 538, 519, 9357, 13441, 2164, 585, 717, 267, 7654, 1813, 547, 2799, 2557, 540, 12274, 13441, 585, 513, 2942, 8258, 563, 763, 13502, 609, 476, 4366, 1067, 521, 338, 19091, 3769, 616, 7396, 607, 670, 11219, 269, 9603, 547, 519, 3259, 540, 519, 11140, 267, 891, 13502, 941, 2196, 585, 476, 276, 985, 269, 1280, 891, 13502, 267, 519, 5027, 4646, 513, 6024, 8520, 2899, 20533, 267, 1818, 621, 7543, 547, 8308, 3950, 519, 3259, 610, 2143, 3337, 540, 519, 5027, 630, 29664, 476, 1321, 1040, 1717, 267, 621, 729, 1869, 2009, 547, 970, 1905, 25544, 2436, 519, 5027, 729, 5276, 270, 12061, 31059, 3842, 13819, 32718, 630, 5408, 30569, 966, 279, 268, 1015, 264, 543, 3308, 2079, 269, 9603, 547, 713, 8520, 1198, 543, 6905, 3259, 540, 519, 5027, 267, 519, 6037, 6327, 2621, 941, 6592, 538, 9979, 267, 4470, 593, 875, 1082, 2053, 519, 3312, 476, 276, 685, 1439, 6037, 665, 919, 998, 519, 31736, 563, 8245, 1637, 670, 1185, 1100, 8258, 543, 3769, 519, 476, 4366, 1067, 5027, 269, 2311, 476, 271, 544, 309, 267, 972, 729, 1152, 513, 9864, 6037, 6327, 267, 15029, 693, 476, 14596, 544, 309, 519, 5027, 4628, 7814, 539, 998, 2899, 269, 2311, 476, 12010, 544, 309, 267, 519, 5027, 4628, 9979, 998, 519, 31736, 476, 274, 2053, 269, 634, 3432, 540, 891, 6037, 23148, 2333, 609, 4294, 661, 325, 267, 8754, 519, 3845, 24964, 849, 4679, 269, 634, 13441, 585, 670, 568, 1970, 267, 607, 519, 5027, 18385, 7161, 519, 31736, 269, 9747, 267, 621, 729, 4397, 602, 519, 13441, 1131, 581, 3648, 4389, 267, 607, 5892, 10567, 269, 898, 729, 7543, 585, 519, 5027, 547, 4628, 4552, 11017, 1369, 713, 1062, 282, 2705, 267, 519, 3803, 13819, 32718, 538, 30569, 966, 279, 268, 1015, 1869, 9414, 875, 519, 5027, 4667, 547, 7455, 547, 1106, 27105, 590, 543, 536, 684, 3481, 5546, 2429, 519, 11191, 269, 9182, 267, 621, 568, 1869, 2009, 547, 970, 1905, 25544, 950, 519, 5027, 568, 711, 8429, 998, 519, 31736, 538, 513, 5276, 6752, 267, 3079, 8108, 13421, 540, 5027, 538, 513, 2147, 6073, 547, 513, 4552, 11017, 5250, 563, 8245, 1637, 594, 543, 808, 3769, 513, 9797, 543, 11874, 9901, 8258, 6606, 269, 1717, 267, 1256, 609, 891, 23937, 267, 1312, 5036, 540, 2164, 941, 899, 11191, 670, 269, 634, 1482, 6037, 6327, 3466, 941, 4767, 538, 594, 543, 808, 267, 607, 1134, 607, 519, 1482, 1875, 31059, 5546, 1369, 519, 5027, 1373, 9571, 269, 634, 1840, 540, 9901, 14034, 1705, 711, 723, 1022, 1713, 1198, 593, 519, 6037, 6327, 7271, 269, 634, 25617, 543, 1216, 13441, 941, 693, 1970, 2157, 585, 1312, 13502, 563, 14454, 267, 519, 1239, 585, 782, 519, 13502, 3622, 4553, 519, 4397, 3466, 9788, 856, 693, 519, 4098, 540, 713, 3296, 269, 3244, 2827, 609, 796, 984, 560, 1192, 539, 22405, 6027, 513, 2362, 1377, 540, 1216, 543, 9357, 13441, 609, 2810, 4294, 661, 325, 269, 20134, 14034, 538, 2489, 5795, 519, 5207, 2157, 540, 9357, 13441, 563, 4913, 267, 519, 3845, 519, 9357, 24964, 1705, 711, 3100, 547, 31085, 2333, 609, 2810, 661, 325, 267, 1256, 950, 972, 729, 1100, 5027, 602, 1223, 29572, 519, 13374, 540, 519, 9357, 269, 901, 27754, 1223, 581, 1813, 547, 513, 3099, 540, 4128, 269, 634, 1034, 23674, 3069, 267, 568, 602, 713, 9357, 814, 12012, 7180, 538, 1169, 11191, 282, 543, 519, 3845, 12599, 11207, 5673, 593, 2436, 621, 4991, 14477, 2048, 322, 4381, 685, 593, 1022, 4183, 540, 519, 11191, 543, 4061, 3112, 2951, 2417, 269, 9747, 713, 1239, 1305, 1590, 581, 2417, 11567, 267, 607, 621, 949, 711, 581, 6029, 519, 3020, 6708, 540, 9357, 3350, 1369, 519, 1062, 563, 763, 10171, 543, 3432, 540, 6037, 6327, 2621, 2799, 609, 2810, 4294, 661, 325, 267, 607, 5892, 10567, 269, 4746, 267, 519, 12605, 602, 519, 3259, 543, 12136, 540, 4552, 11017, 19383, 1131, 2333, 609, 2362, 661, 325, 729, 9863, 269, 634, 5027, 2141, 2451, 519, 31736, 538, 922, 3312, 10066, 267, 609, 1100, 30729, 540, 10066, 9648, 538, 519, 31736, 269, 634, 9357, 13441, 7152, 3625, 1137, 1369, 519, 31736, 676, 5027, 676, 513, 5786, 538, 2095, 267, 799, 729, 4397, 269, 17957, 267, 519, 19469, 1216, 13441, 1705, 711, 1397, 891, 6188, 15297, 282, 7654, 1813, 547, 519, 2470, 540, 519, 1216, 11140, 269, 4826, 568, 513, 8701, 11140, 267, 855, 568, 711, 9901, 267, 7429, 10878, 266, 610, 1849, 1700, 12274, 269, 9747, 267, 621, 568, 17695, 2213, 602, 519, 1216, 666, 1780, 998, 519, 31736, 811, 7561, 1813, 547, 1447, 1761, 4205, 267, 799, 7472, 513, 2362, 13441, 2557, 267, 1256, 609, 1761, 6188, 15297, 269, 634, 1152, 9868, 547, 713, 1216, 13441, 7678, 729, 538, 13502, 670, 11219, 267, 1141, 519, 31736, 729, 5176, 11207, 17808, 543, 513, 1360, 1970, 1377, 540, 13441, 729, 2009, 563, 763, 512, 5930, 532, 1198, 2404, 609, 519, 2318, 8258, 729, 8810, 538, 11191, 595, 282, 2705, 267, 519, 20328, 5027, 538, 11191, 674, 1705, 711, 512, 5930, 269, 901, 6397, 1267, 729, 11911, 547, 519, 3017, 538, 12122, 1063, 519, 1079, 5027, 6675, 282, 2705, 267, 621, 729, 711, 10567, 602, 713, 3017, 1131, 723, 971, 513, 1713, 1198, 593, 519, 6037, 6327, 7271, 538, 11191, 674, 563, 763, 2942, 31736, 8604, 547, 723, 1100, 1764, 593, 519, 3432, 540, 519, 6037, 6327, 2680, 282, 519, 2164, 4951, 602, 585, 1034, 13502, 519, 2942, 8258, 814, 513, 2147, 610, 2539, 3432, 3379, 547, 519, 1949, 1510, 513, 8258, 269, 634, 1152, 608, 18277, 547, 713, 7678, 729, 585, 519, 20328, 5027, 693, 476, 12010, 544, 309, 267, 519, 2799, 3432, 1223, 581, 1813, 547, 519, 12012, 12122, 540, 519, 11140, 563, 14454, 267, 519, 9258, 5027, 1705, 723, 14887, 6037, 6327, 2053, 8957, 519, 1875, 3146, 951, 539, 5027, 269, 1717, 267, 713, 7678, 729, 1152, 2938, 538, 519, 1949, 1510, 513, 9901, 8258, 267, 609, 519, 9901, 1949, 7180, 6721, 6397, 2164, 267, 607, 5892, 5018, 563, 288, 2147, 512, 5930, 532, 1198, 547, 519, 835, 2938, 538, 11191, 595, 814, 1044, 4767, 538, 824, 12985, 2090, 269, 589, 11006, 4882, 331, 4575, 7271, 585, 6037, 6327, 729, 5892, 4857, 609, 2596, 2427, 11800, 1369, 513, 670, 299, 31736, 269, 3393, 267, 476, 5379, 29568, 1063, 513, 2318, 11140, 1369, 519, 561, 18210, 540, 31736, 543, 5027, 723, 1044, 8810, 547, 3500, 1524, 630, 663, 12212, 3247, 264, 519, 6037, 6327, 2557, 543, 1875, 31059, 1125, 521, 338, 19091, 1369, 519, 31736, 269, 589, 1883, 3017, 1063, 891, 2164, 543, 713, 1353, 568, 519, 3668, 540, 1022, 11006, 1606, 331, 4575, 7271, 2938, 267, 607, 519, 5027, 4667, 547, 581, 2048, 560, 3089, 685, 547, 519, 561, 18210, 269, 901, 1223, 581, 1317, 540, 519, 1804, 1297, 540, 2318, 267, 1448, 6675, 1369, 519, 31736, 267, 2810, 519, 512, 5930, 532, 547, 519, 5027, 269, 898, 849, 1223, 581, 1813, 547, 519, 3259, 540, 519, 11191, 267, 607, 1382, 5342, 538, 824, 2090, 4847, 13502, 547, 2196, 909, 547, 476, 736, 562, 338, 282, 15029, 891, 13502, 10443, 909, 547, 476, 276, 562, 338, 563, 8448, 3466, 1336, 538, 9962, 1382, 3769, 519, 10066, 9186, 267, 609, 4223, 515, 1696, 620, 2420, 18445, 513, 1713, 3017, 1063, 5027, 31223, 282, 609, 513, 476, 274, 685, 268, 628, 1348, 539, 1439, 6037, 20814, 909, 547, 476, 274, 2053, 14887, 998, 513, 670, 299, 31736, 269, 901, 7678, 729, 2938, 1369, 713, 1353, 267, 2705, 972, 941, 6397, 6037, 6327, 2360, 2899, 519, 2470, 540, 519, 31736, 729, 4957, 269, 898, 729, 1336, 602, 519, 2318, 9901, 31736, 1705, 711, 723, 1022, 1826, 540, 512, 5930, 532, 7271, 609, 519, 20328, 7259, 730, 5027, 563, 763, 1875, 31059, 19383, 7550, 676, 782, 519, 5027, 20533, 723, 849, 1044, 4362, 538, 9962, 1382, 269, 5379, 19881, 2090, 723, 11567, 891, 19383, 609, 670, 299, 22405, 267, 543, 899, 519, 1382, 5342, 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 ]
[ 20326, 269, 9603, 547, 891, 606, 20326, 2360, 519, 24562, 2157, 616, 1164, 1287, 8951, 563, 8133, 2367, 798, 723, 2362, 24562, 1317, 540, 519, 4887, 0, 1103, 5160, 2528, 5420, 267, 519, 11616, 6950, 4646, 689, 14947, 9274, 568, 1813, 547, 454, 28053, 983, 9103, 760, 582, 1890, 568, 519, 2702, 267, 3254, 676, 1082, 2713, 2281, 547, 1106, 782, 2010, 540, 5160, 602, 13822, 519, 9921, 7103, 563, 288, 6727, 1689, 538, 519, 3490, 5311, 540, 6090, 568, 1572, 12223, 563, 288, 6727, 1689, 538, 519, 3490, 5311, 540, 6090, 568, 1572, 15817, 563, 300, 2544, 568, 513, 1587, 540, 454, 300, 2544, 568, 606, 954, 1808, 10316, 1063, 4775, 7504, 543, 5256, 1810, 4486, 269, 631, 2544, 568, 25062, 10316, 563, 7617, 540, 519, 1739, 568, 1483, 5728, 800, 1587, 540, 519, 9932, 13520, 888, 289, 2465, 14589, 568, 519, 1483, 5728, 800, 1587, 540, 519, 9932, 13520, 269, 26006, 568, 6394, 689, 5810, 543, 6740, 538, 519, 554, 633, 267, 621, 568, 711, 9658, 1540, 676, 519, 13520, 563, 12218, 673, 2030, 9960, 3322, 12223, 563, 12218, 673, 2030, 9960, 3322, 3289, 5090, 5314, 540, 6986, 3515, 4553, 676, 5841, 5542, 563, 306, 2869, 592, 2088, 12851, 547, 12223, 563, 306, 2869, 592, 2088, 12851, 547, 9791, 3039, 13479, 563, 7617, 540, 519, 1739, 568, 3622, 1031, 585, 13251, 4573, 10402, 8412, 538, 7693, 2371, 888, 294, 10397, 12345, 630, 5228, 524, 28240, 476, 2568, 264, 568, 3622, 1031, 585, 13251, 15817, 538, 7031, 2371, 563, 16248, 7031, 602, 3565, 5021, 547, 2518, 1426, 10286, 2504, 616, 454, 16248, 7031, 602, 3565, 5021, 547, 2518, 1426, 10286, 2504, 616, 10568, 267, 7573, 543, 22959, 267, 799, 4866, 547, 519, 1920, 7313, 19687, 630, 294, 1090, 2088, 324, 1916, 291, 571, 9853, 14981, 1331, 12223, 563, 291, 571, 9853, 2831, 616, 1346, 799, 616, 519, 1412, 2041, 6814, 540, 11411, 262, 663, 798, 960, 585, 721, 593, 519, 3484, 899, 7621, 4586, 763, 1655, 1505, 1031, 547, 7753, 538, 3691, 5338, 4965, 568, 12223, 563, 763, 1655, 1505, 1031, 547, 7753, 538, 3691, 5338, 4965, 568, 4934, 29589, 532, 269, 769, 3691, 5338, 4965, 568, 3361, 1813, 547, 6024, 538, 3691, 5338, 799, 5012, 547, 8519, 12680, 543, 7607, 269, 634, 1655, 1505, 547, 7753, 713, 1966, 568, 856, 29589, 532, 538, 799, 2831, 540, 519, 1482, 9742, 267, 855, 799, 723, 1100, 1455, 11937, 593, 2901, 2427, 540, 741, 7895, 580, 872, 909, 547, 476, 275, 268, 277, 5481, 616, 18084, 563, 1432, 568, 519, 1655, 9063, 540, 3037, 585, 14713, 540, 2371, 888, 763, 1655, 9063, 540, 3037, 585, 14713, 540, 2371, 568, 476, 277, 269, 276, 910, 476, 278, 269, 276, 563, 7617, 540, 519, 1739, 568, 711, 7157, 20083, 609, 922, 3099, 888, 303, 25901, 19759, 629, 1695, 541, 568, 513, 3099, 540, 28306, 328, 1247, 623, 25901, 918, 10095, 568, 513, 3099, 540, 10800, 701, 320, 563, 1103, 1931, 547, 3489, 3644, 6954, 2371, 998, 5160, 2528, 519, 1655, 1505, 568, 454, 30560, 626, 655, 2528, 568, 2944, 585, 519, 1646, 540, 3644, 1863, 2371, 269, 8585, 626, 26517, 5160, 1591, 666, 581, 3144, 2901, 689, 9496, 610, 3597, 9133, 563, 303, 558, 6737, 814, 1044, 2919, 689, 12223, 563, 303, 558, 6737, 568, 513, 10316, 540, 8000, 6737, 543, 8751, 6737, 269, 1717, 713, 2030, 729, 711, 2111, 547, 7639, 896, 2361, 2175, 563, 303, 675, 3515, 3277, 547, 12223, 563, 303, 675, 3515, 3277, 547, 2831, 799, 616, 4630, 27340, 748, 538, 2470, 563, 763, 1646, 540, 19025, 538, 519, 9932, 13520, 12733, 568, 606, 1383, 540, 12223, 563, 291, 14772, 538, 519, 9932, 13520, 12733, 616, 2919, 689, 4652, 23459, 2213, 5798, 676, 519, 1184, 540, 851, 1156, 14003, 563, 763, 5017, 602, 616, 556, 1563, 585, 5798, 543, 5779, 616, 1365, 652, 1947, 1572, 12223, 563, 763, 5017, 602, 616, 556, 1563, 585, 5798, 543, 5779, 616, 6606, 1572, 700, 16558, 543, 7935, 32078, 563, 306, 20488, 21431, 568, 513, 454, 306, 20488, 568, 3812, 676, 16536, 21431, 5521, 1572, 607, 16536, 26615, 563, 290, 1886, 2371, 6738, 538, 1395, 665, 11857, 616, 454, 290, 1886, 2371, 6738, 538, 1395, 665, 11857, 616, 3810, 12155, 547, 10860, 563, 7617, 540, 519, 1739, 568, 711, 1031, 585, 7693, 6454, 888, 7072, 267, 10316, 1436, 543, 13592, 616, 519, 2409, 540, 2030, 9960, 563, 295, 320, 30666, 2371, 616, 9053, 936, 9733, 6950, 585, 15817, 1353, 1317, 538, 688, 680, 6950, 454, 300, 20706, 616, 3622, 12424, 633, 865, 789, 616, 6829, 538, 741, 10636, 27340, 748, 2783, 269, 1403, 2030, 568, 688, 30666, 1287, 15817, 666, 2769, 2933, 563, 7617, 835, 540, 519, 1739, 568, 606, 16678, 4095, 3165, 888, 29272, 5055, 3032, 5055, 543, 6997, 324, 334, 887, 327, 7534, 616, 519, 1079, 3127, 2101, 1286, 1186, 6466, 670, 2678, 641, 928, 755, 525, 568, 513, 3032, 8127, 269, 7261, 1440, 19434, 568, 519, 16678, 9742, 563, 11847, 18166, 1007, 2371, 676, 2281, 3079, 540, 5452, 568, 1572, 12223, 563, 11847, 18166, 1007, 2371, 676, 2281, 3079, 540, 5452, 568, 1572, 570, 22568, 2528, 563, 295, 4883, 344, 568, 3812, 676, 12223, 563, 295, 4883, 344, 568, 3812, 676, 769, 1562, 24594, 10316, 5314, 269, 634, 1184, 676, 799, 5256, 543, 4775, 2831, 540, 1079, 1114, 2249, 616, 18084, 568, 1572, 954, 14588, 6900, 10316, 5314, 269, 670, 4883, 344, 568, 513, 954, 14588, 6900, 10316, 1063, 513, 5256, 7504, 543, 513, 4775, 1810, 4486, 563, 306, 2869, 592, 2088, 568, 606, 1383, 540, 12223, 563, 306, 2869, 592, 2088, 568, 513, 2582, 1591, 3940, 563, 7617, 540, 519, 1739, 568, 513, 9190, 2068, 12223, 563, 14937, 4232, 540, 16961, 28875, 568, 513, 9190, 2068, 269, 631, 6242, 923, 616, 3361, 676, 3644, 1247, 3735, 1025, 697, 540, 8000, 6737, 568, 3361, 676, 513, 17343, 563, 28053, 983, 9103, 760, 582, 1890, 568, 7152, 676, 454, 28053, 983, 9103, 760, 582, 1890, 568, 17820, 1152, 676, 2030, 2281, 13296, 519, 2030, 2281, 11677, 519, 2702, 547, 632, 716, 10675, 543, 1106, 519, 1007, 12270, 2281, 454, 30538, 1125, 2371, 1397, 4187, 547, 6565, 16004, 3464, 1317, 540, 12223, 563, 30538, 1125, 2371, 1397, 4187, 547, 6565, 16004, 3464, 630, 335, 652, 264, 1317, 540, 1970, 9436, 1543, 543, 1164, 607, 4820, 545, 3679, 1543, 563, 306, 4689, 11986, 543, 808, 11535, 616, 670, 312, 309, 781, 540, 12223, 563, 306, 4689, 11986, 568, 513, 670, 312, 309, 540, 5453, 520, 543, 808, 11535, 568, 513, 670, 312, 309, 630, 14683, 27548, 3099, 264, 540, 19676, 563, 18704, 707, 11778, 281 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3820, 270, 4486, 268, 614, 916, 270, 258, 337, 264, 4166, 269, 1403, 596, 616, 5461, 538, 4543, 1020, 1930, 3872, 2200, 585, 1496, 305, 28488, 10059, 2517, 25269, 338, 6745, 323, 332, 1790, 559, 582, 3820, 270, 4486, 268, 614, 916, 270, 258, 337, 1070, 5225, 3914, 856, 547, 26637, 22398, 828, 630, 333, 11936, 21993, 601, 828, 287, 603, 10440, 3820, 6393, 763, 1983, 596, 3513, 1451, 538, 2608, 23911, 17943, 265, 594, 268, 7656, 616, 2489, 26928, 1496, 23911, 28488, 10059, 2517, 25269, 338, 6745, 323, 332, 1790, 559, 582, 3820, 270, 4486, 268, 614, 916, 270, 258, 7090, 264, 1983, 267, 10858, 585, 1022, 540, 519, 1257, 2079, 31940, 602, 596, 949, 2263, 2663, 269, 1358, 616, 849, 4922, 10858, 547, 1082, 824, 5686, 540, 4247, 538, 1496, 23911, 28488, 10059, 2517, 25269, 338, 6745, 323, 332, 1790, 559, 582, 3820, 270, 4486, 268, 614, 916, 270, 258, 7090, 264, 3564, 1257, 2079, 780, 1262, 21430, 27190, 1389, 568, 12830, 4373, 9336, 27732, 693, 1169, 5578, 1377, 4991, 6959, 538, 741, 3009, 269, 10435, 9073, 568, 875, 649, 782, 1451, 547, 1982, 269, 14691, 568, 513, 2370, 899, 6061, 513, 11015, 1141, 519, 3804, 568, 547, 1205, 519, 5551, 6364, 998, 513, 3126, 540, 8942, 269, 1411, 4465, 1405, 4194, 519, 11015, 952, 596, 2811, 12922, 547, 1449, 952, 519, 4773, 6474, 269, 1323, 5470, 5048, 786, 711, 2736, 707, 2780, 269, 5457, 267, 596, 666, 2141, 882, 1933, 513, 21641, 952, 621, 13515, 2324, 5265, 610, 596, 3765, 2897, 606, 1271, 4062, 540, 3009, 269, 7201, 519, 12575, 10624, 267, 972, 568, 606, 4781, 547, 3768, 334, 2242, 269, 630, 21446, 8271, 267, 596, 666, 946, 2878, 12252, 1990, 1262, 593, 5839, 543, 2878, 31553, 1990, 1262, 593, 8837, 4700, 1677, 1451, 1022, 5578, 267, 596, 991, 547, 581, 8348, 547, 1404, 543, 4603, 269, 14691, 568, 1100, 1114, 780, 258, 25285, 543, 7358, 2209, 692, 763, 14724, 1106, 540, 5124, 5752, 568, 606, 1496, 10339, 1833, 28488, 10059, 2517, 25269, 338, 6745, 323, 332, 1790, 559, 582, 3820, 270, 4486, 268, 614, 916, 270, 258, 10339, 1833, 264, 1210, 606, 1496, 28072, 28488, 10059, 2517, 25269, 338, 6745, 323, 332, 1790, 559, 582, 3820, 270, 4486, 268, 614, 916, 270, 258, 28072, 1040, 1323, 1496, 10339, 1833, 28488, 10059, 2517, 25269, 338, 6745, 323, 332, 1790, 559, 582, 3820, 270, 4486, 268, 614, 916, 270, 258, 10339, 1833, 264, 568, 513, 2241, 6310, 3948, 899, 1384, 285, 476, 272, 1341, 476, 272, 692, 763, 1496, 28072, 28488, 10059, 2517, 25269, 338, 6745, 323, 332, 1790, 559, 582, 3820, 270, 4486, 268, 614, 916, 270, 258, 28072, 264, 538, 713, 2013, 568, 2387, 266, 12452, 3006, 1572, 834, 15200, 257, 610, 834, 611, 1288, 2668, 8347, 713, 5106, 538, 519, 3009, 4216, 2630, 269, 5457, 547, 4945, 519, 834, 305, 684, 257, 7735, 610, 2046, 595, 27530, 1341, 9373, 630, 20360, 3298, 264, 610, 6521, 1341, 2132, 630, 5308, 2473, 264, 593, 707, 13691, 547, 2196, 519, 3009, 780, 258, 7392, 519, 4082, 538, 713, 3009, 3625, 269, 3973, 2196, 621, 563, 692, 23911, 666, 6023, 513, 1804, 3099, 540, 1496, 10339, 11306, 28488, 10059, 2517, 25269, 338, 6745, 323, 332, 1790, 559, 582, 3820, 270, 4486, 268, 614, 916, 270, 258, 10339, 1833, 1040, 2913, 781, 2119, 12408, 538, 519, 1985, 1496, 13892, 1591, 28488, 10059, 2517, 25269, 338, 6745, 323, 332, 1790, 559, 582, 3820, 270, 4486, 268, 614, 916, 270, 258, 13892, 16052, 6393, 258, 7392, 606, 4082, 602, 3096, 12408, 538, 713, 1591, 269, 3973, 2196, 621, 563, 692, 2171, 666, 849, 798, 8691, 22570, 265, 264, 543, 6498, 630, 270, 1040, 2755, 596, 949, 723, 1031, 606, 834, 9943, 257, 547, 2099, 8691, 538, 3446, 1153, 267, 1496, 23911, 28488, 10059, 2517, 25269, 338, 6745, 323, 332, 1790, 559, 582, 3820, 270, 4486, 268, 614, 916, 270, 258, 7090, 264, 3096, 606, 14531, 7416, 22570, 265, 1040, 769, 1496, 23911, 28488, 10059, 2517, 25269, 338, 6745, 323, 332, 1790, 559, 582, 3820, 270, 4486, 268, 614, 916, 270, 258, 7090, 1070, 692, 285, 476, 273, 6398, 476, 273, 692, 529, 2854, 607, 692, 285, 476, 273, 2608, 476, 273, 692, 2521, 513, 8691, 543, 513, 6498, 538, 519, 1985, 1496, 13892, 1591, 28488, 10059, 2517, 25269, 338, 6745, 323, 332, 1790, 559, 582, 3820, 270, 4486, 268, 614, 916, 270, 258, 13892, 16052, 6393, 258, 8347, 513, 8691, 538, 713, 1591, 269, 3973, 2119, 513, 6498, 563, 258, 1548, 4523, 952, 596, 9192, 873, 286, 1548, 952, 596, 9192, 873, 609, 1840, 543, 5924, 12408, 2496, 454, 2691, 596, 2196, 267, 610, 2878, 24834, 10663, 1262, 267, 606, 1496, 10339, 1833, 28488, 10059, 2517, 25269, 338, 6745, 323, 332, 1790, 559, 582, 3820, 270, 4486, 268, 614, 916, 270, 258, 10339, 1833, 264, 538, 1496, 23911, 28488, 10059, 2517, 25269, 338, 6745, 323, 332, 1790, 559, 582, 3820, 270, 4486, 268, 614, 916, 270, 258, 7090, 1070, 519, 1931, 540, 4238, 568, 4553, 269, 630, 1103, 3446, 1153, 267, 596, 949, 3314, 1565, 519, 695, 2180, 663, 834, 303, 4932, 291, 3008, 2668, 264, 901, 1797, 602, 1496, 10339, 11306, 28488, 10059, 2517, 25269, 338, 6745, 323, 332, 1790, 559, 582, 3820, 270, 4486, 268, 614, 916, 270, 258, 10339, 1833, 264, 616, 11117, 538, 713, 1931, 1384, 272, 269, 9977, 12330, 454, 273, 269, 5890, 7859, 454, 274, 269, 18527, 543, 10406, 630, 5228, 2451, 547, 1318, 994, 275, 269, 18827, 543, 25513, 630, 5228, 2451, 547, 1318, 2020, 314, 23911, 28488, 10059, 2517, 25269, 338, 6745, 323, 332, 1790, 559, 582, 3820, 270, 4486, 268, 614, 916, 270, 258, 7090, 264, 666, 6218, 24324, 543, 23055, 267, 607, 1134, 607, 513, 1297, 540, 3606, 1496, 6016, 2209, 28488, 10059, 2517, 25269, 338, 6745, 323, 332, 1790, 559, 582, 3820, 270, 4486, 268, 614, 916, 270, 258, 28072, 264, 596, 949, 711, 723, 4121, 538, 3446, 1153, 269, 3371, 616, 519, 1292, 1496, 6016, 2209, 28488, 10059, 2517, 25269, 338, 6745, 323, 332, 1790, 559, 582, 3820, 270, 4486, 268, 614, 916, 270, 258, 28072, 264, 602, 596, 1522, 946, 4843, 538, 519, 1931, 789, 616, 11117, 1384, 347, 23330, 1807, 347, 20491, 347, 7151, 1923, 16214, 11406, 347, 19203, 347, 955, 347, 19203, 347, 19203, 2008, 24689, 265, 315, 265, 347, 5890, 9426, 18025, 1077, 347, 476, 274, 2878, 476, 274, 1923, 476, 2767, 11406, 347, 260, 347, 3525, 15252, 270, 7230, 664, 1457, 347, 476, 4097, 4939, 476, 277, 1923, 476, 275, 11406, 347, 270, 347, 10406, 1923, 476, 1789, 1315, 476, 277, 1923, 476, 276, 2008, 24689, 265, 347, 18527, 1923, 476, 278, 2608, 476, 279, 1923, 476, 6321, 11406, 347, 268, 347, 25513, 1923, 476, 1240, 910, 476, 275, 347, 476, 1691, 2008, 347, 266, 347, 18827, 1923, 476, 275, 1341, 476, 274, 1923, 476, 278, 1923, 692, 258, 8347, 4238, 538, 713, 3009, 1591, 563, 258, 1548, 4523, 950, 596, 1039, 538, 24324, 2496, 454, 258, 4578, 9537, 630, 18204, 619, 267, 4469, 334, 1846, 267, 543, 5899, 902, 2020, 5472, 1496, 10339, 11306, 28488, 10059, 2517, 25269, 338, 6745, 323, 332, 1790, 559, 582, 3820, 270, 4486, 268, 614, 916, 270, 258, 10339, 1833, 264, 6218, 547, 513, 2582, 1871, 269, 769, 519, 1657, 1806, 267, 938, 1496, 10339, 11306, 28488, 10059, 2517, 25269, 338, 6745, 323, 332, 1790, 559, 582, 3820, 270, 4486, 268, 614, 916, 270, 258, 10339, 1833, 264, 11117, 547, 2582, 10230, 1871, 269, 31592, 2418, 2097, 538, 1079, 2596, 3029, 1384, 265, 1496, 15759, 518, 28488, 10059, 2517, 25269, 338, 6745, 323, 332, 1790, 559, 582, 3820, 270, 4486, 268, 614, 916, 270, 258, 15759, 518, 994, 265, 1496, 15615, 28488, 10059, 2517, 25269, 338, 6745, 323, 332, 1790, 559, 582, 3820, 270, 4486, 268, 614, 916, 270, 258, 15615, 264, 630, 528, 13735, 15304, 1297, 2020, 2304, 1496, 15759, 518, 28488, 10059, 2517, 25269, 338, 6745, 323, 332, 1790, 559, 582, 3820, 270, 4486, 268, 614, 916, 270, 258, 15759, 518, 1070, 1018, 649, 3006, 1289, 513, 834, 3369, 1961, 1297, 2580, 568, 513, 1297, 1510, 513, 8918, 1448, 602, 666, 581, 2318, 610, 2942, 269, 1879, 513, 1871, 3096, 513, 8918, 267, 621, 568, 1572, 513, 1496, 15615, 28488, 10059, 2517, 25269, 338, 6745, 323, 332, 1790, 559, 582, 3820, 270, 4486, 268, 614, 916, 270, 258, 15615, 264, 610, 13735, 15304, 1297, 269, 5565, 2338, 602, 616, 28879, 6697, 1223, 581, 538, 1079, 1114, 1239, 2010, 269, 1280, 1383, 267, 28879, 476, 276, 568, 3160, 547, 476, 276, 269, 271, 267, 2943, 519, 5449, 568, 606, 1496, 15759, 518, 28488, 10059, 2517, 25269, 338, 6745, 323, 332, 1790, 559, 582, 3820, 270, 4486, 268, 614, 916, 270, 258, 15759, 518, 264, 1247, 519, 8545, 568, 513, 1496, 15615, 28488, 10059, 2517, 25269, 338, 6745, 323, 332, 1790, 559, 582, 3820, 270, 4486, 268, 614, 916, 270, 258, 15615, 1040, 8528, 8170, 1576, 267, 1496, 23911, 28488, 10059, 2517, 25269, 338, 6745, 323, 332, 1790, 559, 582, 3820, 270, 4486, 268, 614, 916, 270, 258, 7090, 264, 666, 849, 948, 721, 13861, 1257, 269, 589, 6256, 540, 1257, 538, 5124, 568, 1572, 513, 1496, 11415, 28488, 10059, 2517, 25269, 338, 6745, 323, 332, 1790, 559, 582, 3820, 270, 4486, 268, 614, 916, 270, 258, 11415, 1040, 589, 1496, 11415, 28488, 10059, 2517, 25269, 338, 6745, 323, 332, 1790, 559, 582, 3820, 270, 4486, 268, 614, 916, 270, 258, 11415, 264, 666, 581, 2854, 609, 2582, 610, 5595, 10530, 269, 589, 1496, 11415, 28488, 10059, 2517, 25269, 338, 6745, 323, 332, 1790, 559, 582, 3820, 270, 4486, 268, 614, 916, 270, 258, 11415, 264, 666, 946, 5022, 267, 5624, 267, 1899, 9397, 267, 543, 2338, 269, 1924, 476, 276, 568, 606, 1496, 15759, 518, 28488, 10059, 2517, 25269, 338, 6745, 323, 332, 1790, 559, 582, 3820, 270, 4486, 268, 614, 916, 270, 258, 15759, 518, 1070, 476, 276, 269, 271, 568, 513, 1496, 15615, 28488, 10059, 2517, 25269, 338, 6745, 323, 332, 1790, 559, 582, 3820, 270, 4486, 268, 614, 916, 270, 258, 15615, 1070, 855, 1412, 276, 262, 543, 1412, 276, 269, 271, 262, 616, 1496, 1598, 902, 28488, 10059, 2517, 25269, 338, 6745, 323, 332, 1790, 559, 582, 3820, 270, 4486, 268, 614, 916, 270, 258, 11415, 1040, 589, 1496, 11415, 28488, 10059, 2517, 25269, 338, 6745, 323, 332, 1790, 559, 582, 3820, 270, 4486, 268, 614, 916, 270, 258, 11415, 264, 666, 849, 581, 10145, 267, 971, 607, 1412, 8339, 8528, 26180, 13399, 8745, 1923, 14691, 2012, 1923, 6201, 11406, 347, 19203, 347, 19203, 347, 19203, 2008, 347, 2662, 1961, 1297, 347, 15759, 518, 347, 910, 274, 267, 476, 271, 267, 476, 273, 267, 476, 276, 4097, 2008, 347, 13356, 2711, 347, 15615, 1923, 476, 277, 269, 274, 267, 910, 866, 269, 2537, 267, 476, 276, 269, 271, 267, 476, 271, 269, 4905, 2008, 347, 17806, 347, 11415, 347, 1412, 15916, 1158, 3299, 1412, 10204, 271, 17984, 3299, 1412, 3299, 1412, 9264, 274, 262, 347, 692, 763, 11984, 1063, 1142, 540, 891, 1239, 2010, 949, 3100, 796, 28695, 267, 855, 1496, 23911, 28488, 10059, 2517, 25269, 338, 6745, 323, 332, 1790, 559, 582, 3820, 270, 4486, 268, 614, 916, 270, 258, 7090, 264, 13000, 1142, 835, 8335, 269, 1280, 1383, 267, 649, 666, 2307, 1496, 23911, 28488, 10059, 2517, 25269, 338, 6745, 323, 332, 1790, 559, 582, 3820, 270, 4486, 268, 614, 916, 270, 258, 7090, 264, 2436, 606, 1496, 15759, 518, 28488, 10059, 2517, 25269, 338, 6745, 323, 332, 1790, 559, 582, 3820, 270, 4486, 268, 614, 916, 270, 258, 15759, 518, 264, 568, 3160, 547, 513, 1496, 15615, 28488, 10059, 2517, 25269, 338, 6745, 323, 332, 1790, 559, 582, 3820, 270, 4486, 268, 614, 916, 270, 258, 15615, 1070, 855, 649, 3112, 2307, 2436, 513, 1496, 11415, 28488, 10059, 2517, 25269, 338, 6745, 323, 332, 1790, 559, 582, 3820, 270, 4486, 268, 614, 916, 270, 258, 11415, 264, 568, 3160, 547, 606, 1496, 15759, 518, 28488, 10059, 2517, 25269, 338, 6745, 323, 332, 1790, 559, 582, 3820, 270, 4486, 268, 614, 916, 270, 258, 15759, 518, 264, 610, 513, 1496, 15615, 28488, 10059, 2517, 25269, 338, 6745, 323, 332, 1790, 559, 582, 3820, 270, 4486, 268, 614, 916, 270, 258, 15615, 6393, 2414, 6218, 2436, 1079, 2418, 616, 3160, 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 ]
[ 908, 454, 271, 269, 271, 6801, 692, 8512, 338, 630, 320, 264, 543, 630, 321, 264, 540, 519, 4305, 2307, 1053, 547, 1265, 519, 1770, 3928, 602, 835, 666, 12337, 538, 713, 2796, 269, 3487, 630, 321, 264, 1281, 711, 14574, 2436, 519, 4559, 1058, 581, 561, 2355, 610, 5998, 267, 865, 4267, 666, 581, 6829, 1210, 2901, 835, 780, 20428, 912, 12385, 24136, 454, 300, 1468, 7392, 912, 12244, 13624, 629, 454, 17809, 3187, 912, 26877, 755, 13577, 9119, 454, 17809, 3187, 5590, 912, 26877, 755, 13577, 9119, 454, 12041, 912, 26877, 755, 13577, 9119, 454, 4962, 270, 4905, 270, 1001, 273, 454, 14807, 1049, 2422, 454, 305, 908, 454, 271, 269, 271, 6801, 692, 1103, 713, 3992, 2966, 547, 3986, 7924, 1983, 267, 1053, 4983, 875, 547, 946, 8454, 547, 2268, 543, 948, 18359, 15195, 2200, 780, 20428, 912, 10481, 657, 7220, 454, 12385, 24136, 454, 16498, 3163, 454, 22129, 3163, 454, 300, 1468, 7392, 912, 12244, 13624, 629, 454, 17809, 3187, 912, 303, 7034, 4804, 300, 4215, 454, 17809, 3187, 5590, 912, 303, 7034, 4804, 9012, 5871, 11759, 14635, 454, 12041, 912, 310, 16412, 295, 12409, 7690, 454, 310, 531, 27926, 7690, 454, 5400, 270, 2537, 270, 1001, 273, 454, 4462, 6135, 24071, 2422, 454, 6717, 15760, 454, 305, 908, 454, 271, 269, 271, 6801, 692, 25078, 18716, 28405, 15906, 14534, 24291, 404, 371, 12022, 8294, 24220, 12168, 357, 20254, 404, 511, 12022, 18716, 12022, 24291, 14180, 25078, 24220, 476, 15906, 25078, 18716, 25078, 20254, 404, 362, 21333, 14534, 15906, 14180, 24291, 14180, 25078, 24220, 476, 12022, 404, 511, 12022, 24291, 14534, 25078, 8294, 404, 355, 12022, 12168, 357, 15906, 8294, 25078, 404, 371, 29756, 476, 14180, 404, 368, 8294, 404, 371, 12168, 359, 28257, 8294, 15906, 14180, 18716, 476, 15906, 404, 511, 14507, 405, 481, 18716, 476, 15906, 8294, 12022, 404, 364, 18716, 476, 28519, 18716, 20901, 12168, 367, 18716, 14180, 404, 368, 404, 355, 15906, 14180, 834, 14180, 25078, 24220, 405, 489, 8294, 12168, 357, 404, 368, 14507, 18716, 29756, 2668, 12168, 367, 18716, 404, 371, 24220, 28405, 24291, 404, 371, 12022, 8294, 24220, 24291, 14534, 14180, 404, 371, 28405, 24291, 14180, 25078, 24220, 18716, 476, 12022, 20254, 14534, 404, 360, 18716, 12022, 12168, 359, 404, 371, 24220, 18716, 28405, 12168, 511, 8294, 12022, 29756, 12168, 359, 404, 370, 8294, 28257, 28519, 18716, 29756, 12168, 357, 8294, 25078, 20254, 404, 362, 21333, 8294, 14534, 24291, 404, 370, 14507, 24220, 24291, 20254, 24220, 8294, 21333, 12022, 18716, 476, 12022, 404, 511, 12022, 24291, 14180, 25078, 24220, 780, 20428, 912, 12385, 24136, 454, 300, 1468, 7392, 912, 12244, 13624, 629, 454, 22826, 270, 13981, 15613, 0, 258, 26969, 4569, 692, 6938, 312, 281, 1284, 2811, 1394, 269, 1411, 2811, 6947, 547, 2961, 13185, 609, 721, 267, 8437, 543, 1849, 871, 267, 519, 570, 1952, 564, 29564, 267, 543, 649, 2811, 1934, 547, 1865, 6517, 267, 1286, 7816, 543, 519, 1007, 10658, 3960, 2401, 780, 307, 6865, 281, 594, 6415, 9599, 256, 594, 6415, 2731, 3168, 4464, 547, 713, 2439, 6938, 312, 281, 7937, 267, 9505, 909, 2439, 307, 6865, 281, 4270, 596, 1500, 621, 3280, 899, 971, 513, 2462, 4308, 780, 6938, 312, 281, 594, 4769, 1405, 269, 594, 723, 1079, 8424, 540, 10658, 3960, 6840, 269, 3962, 6292, 568, 1644, 267, 855, 711, 547, 519, 824, 6292, 269, 1924, 267, 594, 723, 1079, 10658, 3960, 6840, 602, 616, 2147, 267, 543, 594, 723, 1776, 1079, 10658, 3960, 6840, 4947, 909, 538, 519, 1985, 1906, 4374, 602, 616, 849, 2147, 780, 307, 6865, 281, 1924, 596, 899, 547, 946, 891, 267, 899, 267, 18615, 569, 286, 634, 2147, 3283, 2496, 6938, 312, 281, 6348, 2425, 1113, 569, 780, 307, 6865, 281, 2353, 1875, 2496, 6938, 312, 281, 23010, 269, 21894, 2013, 2306, 13718, 307, 6865, 281, 2107, 12225, 10999, 780, 6938, 312, 281, 2107, 1875, 11388, 10999, 269, 1656, 519, 5898, 540, 891, 10658, 3960, 6840, 568, 741, 1786, 6143, 269, 1306, 10353, 547, 2063, 3018, 781, 780, 307, 6865, 281, 1656, 741, 13190, 267, 594, 15475, 780, 6938, 312, 281, 8786, 267, 789, 616, 14628, 780, 307, 6865, 281, 1656, 741, 1644, 1145, 780, 6938, 312, 281, 1656, 741, 1644, 1145, 780, 307, 6865, 281, 769, 1776, 2631, 780, 6938, 312, 281, 634, 1101, 835, 568, 12980, 267, 543, 594, 1031, 713, 593, 519, 5234, 2063, 3018, 780, 307, 6865, 281, 7937, 267, 812, 2439, 6938, 312, 281, 1656, 789, 5795, 721, 519, 2034, 835, 780, 307, 6865, 281, 594, 798, 3314, 713, 2439, 6938, 312, 281, 2353, 1318, 269, 3619, 543, 1205, 513, 19619, 540, 6474, 560, 6506, 269, 1284, 3513, 7227, 269, 28514, 269, 5384, 781, 909, 269, 589, 2370, 4062, 540, 1957, 543, 513, 4050, 267, 609, 799, 596, 666, 2099, 6474, 560, 6506, 269, 634, 19362, 540, 713, 6824, 568, 2469, 547, 581, 4936, 27766, 267, 15502, 286, 1656, 519, 4936, 1003, 1968, 568, 476, 2537, 267, 799, 568, 1079, 2473, 338, 13718, 307, 6865, 281, 2473, 29930, 16927, 16927, 16927, 780, 6938, 312, 281, 9406, 780, 307, 6865, 281, 1656, 865, 596, 666, 1294, 891, 1373, 1500, 909, 540, 13292, 269, 5565, 13292, 1818, 909, 13718, 6938, 312, 281, 7102, 3118, 267, 972, 616, 513, 19619, 540, 6474, 560, 6506, 267, 543, 1118, 707, 1899, 269, 1656, 1287, 519, 14009, 568, 2469, 547, 581, 476, 278, 538, 4936, 27766, 267, 799, 568, 966, 16927, 16927, 269, 1656, 1287, 606, 11224, 1129, 734, 527, 781, 513, 2370, 3830, 734, 3225, 1023, 476, 273, 267, 799, 568, 6719, 676, 1079, 6474, 560, 6506, 267, 1079, 7299, 6474, 560, 6506, 267, 594, 16927, 269, 28514, 286, 4936, 1003, 1968, 476, 2537, 267, 2473, 29930, 16927, 16927, 16927, 267, 936, 4936, 1003, 1968, 476, 278, 267, 799, 568, 966, 16927, 16927, 267, 11224, 476, 273, 267, 799, 568, 594, 16927, 267, 3854, 269, 30052, 267, 713, 3830, 568, 4636, 780, 307, 6865, 281, 9406, 269, 898, 781, 2673, 2439, 6938, 312, 281, 898, 781, 2673, 2614, 256, 1548, 519, 646, 1188, 780, 307, 6865, 281, 1280, 873, 267, 621, 568, 2673, 2614, 780, 6938, 312, 281, 2659, 4161, 568, 547, 1847, 835, 6474, 22496, 543, 1118, 519, 3830, 2953, 269, 3767, 267, 596, 3112, 2490, 621, 538, 267, 596, 3112, 1491, 835, 6474, 22496, 267, 585, 1383, 267, 543, 1118, 621, 476, 2420, 936, 476, 278, 1281, 711, 3160, 476, 274, 780, 307, 6865, 281, 2334, 729, 1250, 7168, 2656, 3070, 780, 6938, 312, 281, 23010, 267, 602, 781, 536, 690, 639, 269, 2334, 781, 4625, 536, 690, 639, 269, 1924, 267, 606, 21376, 1129, 568, 711, 4847, 780, 307, 6865, 281, 1924, 267, 519, 2243, 568, 267, 1215, 666, 596, 1847, 835, 6474, 22496, 543, 1118, 713, 883, 606, 4890, 3830, 2496, 6938, 312, 281, 1703, 596, 979, 269, 3767, 267, 952, 596, 1589, 596, 13718, 307, 6865, 281, 17817, 256, 25734, 256, 1924, 547, 3717, 780, 6938, 312, 281, 8786, 780, 307, 6865, 281, 1656, 267, 676, 519, 1259, 267, 835, 540, 519, 2152, 602, 3357, 909, 267, 952, 594, 1491, 835, 540, 519, 6474, 560, 6506, 2476, 689, 519, 2473, 267, 594, 786, 581, 2451, 609, 513, 4990, 540, 15497, 1922, 5217, 1899, 13718, 6938, 312, 281, 2334, 781, 536, 690, 639, 269, 2334, 3884, 1405, 13718, 307, 6865, 281, 1656, 602, 1797, 13718, 6938, 312, 281, 23875, 780, 307, 6865, 281, 3143, 267, 596, 666, 1405, 798, 602, 780, 307, 6865, 281, 3143, 267, 596, 666, 1405, 798, 602, 2439, 6938, 312, 281, 1411, 666, 1405, 2439, 307, 6865, 281, 1411, 666, 1405, 798, 602, 780, 13914, 596, 917, 286, 29100, 14105, 513, 4063, 2439, 28874, 585, 2961, 13185, 568, 3177, 676, 281, 0, 15507, 2271, 13043, 454, 5141, 846, 692, 14596, 266, 4569, 16497, 2854, 676, 4569, 5584, 832, 543, 11334, 692, 276, 28985, 266, 4841, 4477, 6244, 3962, 5729, 692, 6344, 271, 266, 15080, 18838, 676, 4569, 30451, 543, 2037, 28387, 328, 6814, 692, 8245, 680, 4328, 543, 9752, 4569, 585, 3683, 476, 2537, 13012, 692, 258, 10318, 1456, 634, 18882, 540, 606, 11875, 15199, 692, 3528, 22186, 22220, 22616, 528, 267, 476, 6734, 7325, 476, 1708, 271, 692, 2304, 31753, 568, 513, 21401, 5858, 267, 12777, 6340, 269, 901, 568, 513, 3337, 602, 2164, 689, 17464, 4167, 532, 513, 7077, 998, 513, 598, 673, 3337, 267, 543, 607, 971, 267, 1312, 513, 5858, 543, 606, 31753, 616, 1806, 540, 598, 673, 6810, 780, 763, 598, 545, 3337, 540, 606, 31753, 568, 5462, 676, 519, 5086, 540, 10167, 1063, 519, 7077, 543, 519, 13409, 282, 6382, 267, 513, 29236, 610, 5409, 19096, 666, 581, 4646, 269, 769, 9759, 267, 513, 5858, 568, 606, 31753, 609, 519, 1482, 8953, 2066, 922, 8006, 267, 543, 14248, 2354, 525, 616, 2813, 676, 15198, 10580, 2059, 519, 1535, 610, 586, 14289, 267, 538, 1022, 4287, 780, 1012, 1215, 616, 14248, 2354, 525, 4646, 2496, 7712, 606, 31753, 568, 4646, 676, 12969, 532, 1109, 320, 1318, 9764, 13409, 609, 513, 7077, 267, 922, 1655, 4214, 5956, 609, 513, 5858, 547, 3113, 1227, 2981, 543, 12446, 693, 606, 31753, 781, 2489, 4542, 269, 634, 3845, 689, 519, 4099, 540, 519, 4783, 547, 1022, 1448, 568, 519, 1482, 543, 814, 1152, 835, 3586, 8953, 780, 2419, 4474, 513, 5858, 883, 606, 31753, 3322, 15198, 610, 17065, 4506, 519, 8953, 865, 602, 9883, 1063, 519, 4099, 543, 519, 8728, 616, 711, 3586, 269, 5940, 15659, 519, 9764, 3337, 1797, 972, 568, 1100, 15340, 267, 543, 513, 18440, 3815, 568, 4294, 547, 519, 11282, 2188, 780, 3519, 545, 6810, 666, 581, 4330, 676, 11282, 2798, 540, 519, 1544, 541, 10167, 267, 543, 891, 14170, 1106, 513, 4756, 3830, 602, 11887, 519, 3337, 540, 519, 31753, 269, 3245, 1079, 6378, 2798, 593, 519, 31753, 267, 519, 2040, 540, 519, 1535, 543, 586, 9883, 568, 513, 3586, 267, 543, 1142, 540, 891, 2798, 568, 1634, 607, 513, 1445, 610, 535, 1539, 538, 519, 12683, 780, 10521, 2010, 540, 31753, 5546, 666, 581, 4646, 267, 513, 7299, 2101, 7852, 31753, 543, 513, 8880, 2101, 7852, 31753, 267, 609, 519, 3017, 1373, 538, 741, 10066, 780, 1012, 16544, 540, 606, 31753, 692, 291, 8817, 593, 519, 10066, 540, 606, 31753, 267, 1775, 4318, 1421, 2436, 7299, 610, 8880, 267, 606, 3830, 666, 581, 1031, 547, 3313, 519, 7681, 540, 1808, 10974, 269, 1879, 513, 13409, 568, 12969, 539, 693, 922, 3490, 676, 513, 7077, 267, 606, 31753, 568, 4646, 267, 543, 865, 616, 1079, 17122, 2798, 610, 535, 1539, 780, 763, 3586, 2040, 540, 9883, 689, 519, 535, 1539, 814, 547, 581, 8452, 693, 267, 543, 606, 31753, 849, 814, 513, 4099, 267, 2101, 543, 5634, 17887, 780, 4415, 891, 12205, 20328, 585, 519, 6587, 10066, 267, 606, 31753, 786, 2874, 540, 16963, 1892, 589, 4099, 281, 634, 4099, 540, 606, 31753, 568, 1141, 1312, 519, 1535, 543, 586, 14289, 12969, 10974, 737, 543, 554, 616, 454, 1892, 11683, 7852, 281, 634, 13074, 8700, 540, 606, 31753, 267, 1141, 621, 21018, 3476, 267, 568, 922, 2101, 7852, 269, 21222, 7267, 14248, 2354, 525, 723, 741, 2101, 7852, 6252, 547, 741, 1535, 14289, 267, 1247, 7299, 3283, 786, 723, 621, 593, 741, 586, 14289, 563, 1892, 19724, 7852, 281, 901, 568, 519, 20125, 8700, 540, 606, 31753, 267, 543, 585, 8880, 14248, 2354, 525, 267, 741, 5634, 7852, 568, 593, 741, 586, 14289, 269, 634, 5634, 7852, 814, 513, 3259, 267, 543, 922, 11282, 1439, 9557, 616, 1634, 607, 5634, 7852, 1071, 268, 3200, 1182, 563, 1892, 634, 674, 1539, 281, 1452, 616, 1079, 17122, 2798, 602, 21656, 606, 14248, 2354, 525, 262, 22441, 543, 3337, 267, 543, 789, 723, 17122, 3259, 10974, 563, 1892, 661, 24443, 640, 281, 1230, 545, 6810, 971, 607, 14248, 2354, 525, 723, 26137, 640, 2418, 267, 799, 723, 2039, 2418, 269, 2311, 519, 26137, 640, 540, 4642, 267, 606, 31753, 3587, 513, 5858, 267, 1247, 606, 26137, 640, 540, 835, 3947, 4473, 547, 513, 29236, 598, 545, 3337, 780, 14300, 540, 14248, 2354, 525, 609, 1970, 26137, 640, 616, 519, 10739, 540, 10785, 1472, 741, 6801, 267, 543, 519, 10739, 540, 24262, 547, 10785, 267, 799, 616, 5176, 9764, 269, 1109, 1290, 1115, 267, 593, 519, 824, 1688, 267, 723, 1164, 26137, 640, 538, 741, 25057, 1472, 519, 3141, 780, 292, 961, 18967, 673, 25057, 540, 10785, 543, 635, 1115, 946, 519, 3141, 607, 835 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2716, 2225, 4518, 281, 17115, 15198, 6091, 4679, 2039, 540, 5163, 267, 6971, 5945, 1981, 267, 543, 10597, 22231, 593, 519, 12334, 269, 18639, 610, 15815, 919, 5049, 2899, 610, 7466, 513, 3018, 7110, 2757, 13558, 2866, 2409, 780, 7656, 269, 4197, 570, 716, 923, 543, 4813, 725, 454, 3721, 476, 276, 281, 4804, 17502, 1356, 11150, 454, 15008, 281, 19361, 1944, 3054, 609, 1455, 12485, 543, 21272, 2636, 596, 547, 18783, 1404, 1646, 267, 5968, 7561, 609, 2319, 10863, 267, 543, 1118, 5483, 3664, 1282, 3756, 269, 5530, 2596, 1949, 899, 476, 275, 268, 275, 268, 273, 267, 476, 275, 268, 274, 268, 274, 267, 610, 476, 274, 268, 276, 268, 273, 543, 5659, 741, 9342, 267, 12755, 267, 543, 2990, 531, 5107, 780, 7659, 9669, 1299, 13832, 912, 268, 25506, 3270, 540, 1404, 2404, 609, 1808, 21272, 563, 268, 10576, 1761, 5624, 585, 14226, 1369, 15852, 23640, 563, 268, 4004, 6510, 3927, 609, 2319, 10863, 3823, 17568, 267, 16287, 9021, 267, 543, 3350, 1055, 519, 3440, 780, 4353, 269, 4980, 22899, 10076, 19369, 454, 3721, 476, 277, 281, 4425, 24031, 30151, 543, 24517, 1674, 454, 15008, 281, 21988, 13558, 5716, 4865, 2178, 1582, 1532, 601, 3971, 543, 2226, 1445, 2429, 13292, 269, 3763, 2790, 6043, 676, 4259, 24276, 3853, 267, 3308, 1944, 2318, 4093, 267, 543, 8026, 11009, 2553, 780, 7659, 9669, 1299, 13832, 912, 268, 19372, 2312, 6859, 1644, 547, 2123, 6454, 2864, 982, 13461, 9003, 593, 2164, 563, 268, 14146, 11461, 11052, 5751, 547, 679, 6665, 720, 3811, 7653, 543, 7753, 10779, 885, 563, 268, 18918, 538, 7244, 5751, 610, 9066, 547, 7794, 5834, 5759, 780, 309, 269, 674, 29183, 12243, 1740, 543, 29046, 454, 3721, 476, 278, 281, 11622, 908, 6356, 1947, 609, 1855, 2459, 919, 454, 15008, 281, 17502, 1356, 12346, 8185, 593, 7104, 4674, 543, 11558, 1851, 5716, 269, 670, 821, 707, 2702, 547, 28111, 609, 1866, 676, 3384, 2792, 1983, 267, 11744, 13916, 267, 543, 6029, 7029, 547, 3838, 3853, 780, 7659, 9669, 1299, 13832, 912, 268, 7638, 4472, 1125, 15752, 5693, 543, 7682, 1947, 1510, 759, 15659, 547, 14699, 610, 771, 27920, 563, 268, 18224, 18515, 547, 4188, 707, 1909, 2687, 547, 32638, 4170, 563, 268, 26875, 1125, 2319, 1967, 936, 1367, 18710, 267, 5807, 513, 11215, 1604, 20009, 547, 2208, 543, 9740, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 18719, 557, 2659, 10794, 538, 17502, 1356, 257, 538, 519, 2511, 540, 14392, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 269, 3550, 9355, 543, 16566, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 269, 0, 5384, 5004, 11150, 281, 10435, 519, 4107, 540, 2659, 6657, 590, 32268, 692, 5970, 596, 2479, 1336, 3054, 10010, 547, 1445, 1282, 707, 14440, 2259, 7886, 286, 2107, 6148, 596, 1745, 899, 972, 1175, 5749, 1405, 2614, 3108, 538, 519, 1554, 547, 1205, 3388, 2944, 269, 5213, 1405, 5855, 910, 596, 2811, 711, 4805, 256, 4804, 547, 4383, 707, 942, 3927, 568, 513, 5578, 602, 786, 4324, 596, 711, 1152, 538, 707, 7574, 18697, 267, 855, 849, 538, 782, 2127, 540, 707, 1272, 269, 769, 713, 3296, 267, 649, 3513, 2263, 930, 4388, 543, 15361, 547, 948, 596, 11694, 707, 2259, 942, 543, 3251, 7722, 543, 12592, 780, 5575, 267, 1577, 781, 2911, 827, 1946, 942, 2359, 568, 865, 1271, 950, 621, 2501, 547, 8026, 606, 6293, 269, 1306, 835, 540, 519, 1390, 17024, 540, 519, 21654, 5736, 2899, 1767, 267, 834, 763, 2179, 540, 942, 621, 3217, 547, 2744, 1256, 513, 9793, 15334, 538, 2575, 568, 865, 10438, 29389, 901, 1797, 602, 4742, 9952, 693, 4730, 606, 6293, 3340, 513, 1713, 5092, 540, 942, 543, 4674, 269, 1809, 1810, 1405, 1577, 602, 25339, 596, 256, 1635, 5883, 707, 942, 20617, 543, 1818, 519, 1034, 540, 1142, 2259, 8400, 267, 596, 3513, 581, 1134, 593, 707, 1259, 547, 8236, 707, 7574, 3853, 780, 3383, 875, 666, 596, 979, 827, 5355, 707, 942, 2359, 1983, 286, 3371, 616, 513, 1906, 2994, 547, 2119, 1384, 272, 269, 5590, 1808, 267, 24276, 3853, 585, 1142, 2259, 8400, 269, 5502, 540, 6031, 834, 296, 1616, 547, 1205, 1732, 693, 14440, 2437, 2119, 4259, 513, 3804, 971, 607, 834, 296, 786, 1451, 519, 1101, 5216, 3800, 540, 713, 4062, 676, 519, 1439, 540, 2221, 781, 2259, 8400, 1701, 11109, 2312, 6859, 786, 948, 596, 3251, 5059, 543, 12592, 563, 273, 269, 16505, 1524, 3677, 4247, 883, 4130, 267, 19242, 25098, 269, 1280, 1383, 267, 952, 596, 2811, 2324, 593, 513, 1950, 4062, 267, 7941, 621, 883, 6810, 543, 2259, 1142, 835, 14350, 1354, 8380, 621, 782, 1927, 269, 901, 786, 948, 2061, 17140, 543, 1832, 596, 7722, 563, 274, 269, 8073, 513, 8430, 543, 6529, 547, 621, 269, 5071, 622, 1978, 2053, 540, 1554, 585, 2259, 267, 543, 1521, 1346, 2053, 607, 1875, 268, 10864, 582, 4192, 20499, 269, 3117, 29548, 568, 1883, 950, 621, 2501, 547, 2679, 1007, 6208, 543, 1983, 563, 275, 269, 26332, 3729, 19240, 269, 12414, 1055, 707, 6049, 267, 2673, 11991, 29601, 593, 707, 2780, 267, 543, 1265, 513, 9602, 2230, 1141, 596, 666, 1445, 9003, 593, 707, 2259, 269, 1411, 9364, 581, 14281, 875, 1454, 811, 596, 666, 9585, 950, 596, 4894, 19240, 2336, 276, 269, 5269, 2386, 547, 1491, 9397, 269, 28552, 585, 1279, 21018, 540, 942, 666, 2965, 17225, 707, 3356, 543, 1291, 547, 25794, 269, 8347, 1210, 513, 22245, 547, 1305, 11996, 585, 960, 543, 1964, 267, 971, 607, 476, 1839, 3764, 540, 5059, 2259, 4553, 676, 513, 2947, 18826, 2736, 563, 277, 269, 7053, 267, 3314, 547, 3575, 1919, 909, 543, 723, 1187, 256, 1403, 596, 2811, 4743, 12758, 610, 796, 1231, 18944, 267, 2119, 1945, 1007, 269, 15331, 609, 1114, 11964, 540, 2575, 267, 12840, 609, 824, 12372, 267, 610, 1256, 17492, 707, 1378, 4773, 269, 18227, 707, 2259, 7886, 9867, 543, 11791, 786, 948, 596, 3251, 7722, 543, 12592, 936, 519, 1279, 688, 592, 780, 3528, 6220, 891, 942, 2359, 2994, 883, 707, 2259, 6296, 267, 596, 3513, 581, 2111, 547, 1118, 519, 1034, 540, 707, 942, 543, 3035, 707, 7574, 3853, 811, 7561, 269, 8414, 8026, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 20442, 2811, 4966, 693, 7487, 621, 4947, 281, 634, 2110, 2287, 5834, 21269, 267, 811, 7928, 23545, 725, 267, 543, 513, 2247, 602, 568, 5051, 11992, 281, 2659, 2875, 568, 2469, 547, 16718, 4245, 563, 2791, 666, 1405, 2141, 16620, 873, 269, 594, 6999, 594, 1223, 3314, 945, 621, 729, 865, 594, 1223, 2671, 519, 3169, 10839, 630, 604, 596, 917, 267, 5225, 6085, 256, 1070, 855, 835, 540, 519, 21481, 15806, 630, 299, 665, 651, 267, 20122, 15816, 267, 5292, 3279, 790, 1070, 5206, 602, 519, 2179, 540, 942, 621, 3217, 547, 2744, 1256, 513, 9793, 15334, 538, 2575, 865, 10438, 602, 646, 20402, 519, 4502, 540, 1256, 1565, 606, 6293, 267, 950, 835, 1223, 3274, 6108, 741, 942, 6947, 269, 3281, 15903, 609, 2221, 781, 4081, 12503, 543, 16221, 540, 2238, 267, 607, 2182, 607, 621, 666, 581, 3450, 896, 1790, 847, 5367, 1053, 267, 594, 991, 547, 4749, 7618, 8885, 602, 621, 781, 513, 27803, 865, 1082, 1004, 1256, 6529, 609, 14440, 4245, 607, 1279, 607, 789, 798, 563, 2252, 1932, 1454, 942, 568, 6170, 3018, 1310, 3018, 538, 11617, 10477, 2943, 7376, 1227, 543, 6457, 1302, 26927, 776, 1505, 2835, 267, 513, 2875, 568, 3808, 547, 6336, 1719, 269, 2290, 540, 519, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 11742, 5004, 11150, 257, 607, 851, 540, 834, 4306, 11070, 312, 15978, 1315, 20554, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 272, 281, 4985, 547, 23427, 29972, 692, 296, 269, 4197, 23427, 25052, 692, 288, 269, 9502, 540, 513, 23427, 12567, 692, 272, 269, 589, 9341, 4677, 568, 513, 1826, 540, 4677, 602, 8942, 547, 30712, 519, 18932, 267, 7524, 267, 543, 3309, 10664, 1336, 538, 9341, 4525, 1472, 519, 1158, 563, 273, 269, 10886, 1242, 676, 1804, 267, 12050, 16714, 282, 29116, 11954, 5810, 282, 543, 606, 8561, 593, 3246, 1032, 15778, 1719, 998, 2482, 1359, 543, 9403, 563, 274, 269, 2552, 9009, 547, 2442, 3661, 267, 621, 568, 2009, 547, 11349, 513, 3811, 9341, 4677, 1256, 538, 22465, 16374, 899, 519, 2136, 8003, 630, 20084, 264, 609, 6297, 4058, 543, 3617, 2030, 5079, 780, 289, 269, 11957, 540, 7233, 19139, 692, 272, 269, 29922, 5078, 2371, 568, 2629, 950, 8888, 513, 9341, 4677, 538, 21617, 16374, 971, 607, 519, 5177, 563, 273, 269, 12518, 1058, 4865, 1079, 1883, 4162, 281, 4411, 10892, 543, 16678, 5920, 563, 274, 269, 901, 3184, 7710, 1585, 2030, 6688, 4998, 585, 4411, 2916, 9341, 12202, 267, 1519, 25836, 27374, 689, 3624, 267, 4411, 2389, 26985, 17506, 10118, 267, 543, 9341, 23302, 25165, 540, 16830, 5054, 780, 6637, 476, 273, 281, 10434, 344, 6022, 916, 585, 12861, 513, 808, 21819, 6356, 692, 296, 269, 11137, 540, 26054, 19029, 692, 288, 269, 13517, 543, 18882, 692, 272, 269, 26054, 4054, 616, 11599, 6698, 540, 9341, 8916, 267, 1634, 585, 741, 7381, 959, 16218, 543, 10565, 18651, 1091, 563, 273, 269, 7111, 5097, 547, 3636, 267, 18519, 4525, 2282, 519, 20337, 563, 274, 269, 6736, 1455, 20887, 267, 1896, 2249, 540, 13869, 4054, 8858, 7415, 4411, 10892, 267, 1818, 873, 5140, 10457, 585, 10014, 538, 5177, 9341, 10651, 780, 289, 269, 15019, 10434, 344, 6022, 916, 585, 5177, 8693, 692, 272, 269, 3004, 16408, 8364, 16476, 19539, 328, 630, 2419, 639, 534, 26054, 2567, 634, 1034, 4122, 6738, 25836, 13869, 3529, 538, 519, 5177, 1813, 547, 922, 11108, 15470, 4187, 543, 2702, 547, 1332, 538, 9864, 12094, 563, 453, 265, 17972, 10178, 11057, 3762, 543, 513, 28795, 17657, 267, 8757, 15627, 909, 547, 476, 277, 7397, 563, 273, 269, 932, 4821, 518, 3591, 1208, 18442, 630, 8469, 10882, 27684, 26054, 2567, 6271, 25836, 4781, 267, 5827, 540, 3395, 538, 2407, 3141, 610, 1769, 12094, 563, 453, 265, 21277, 806, 2789, 11710, 7265, 1229, 1927, 267, 8108, 10053, 21906, 6438, 2208, 3270, 563, 274, 269, 1809, 807, 1698, 527, 1092, 630, 297, 11481, 26054, 2567, 19612, 585, 6721, 17580, 4829, 267, 4946, 1776, 4494, 540, 26675, 547, 1022, 9341, 5251, 1374, 563, 453, 265, 28202, 1161, 1655, 538, 1134, 1673, 11712, 3037, 543, 2407, 7943, 4598, 780, 2862, 269, 30459, 6022, 916, 883, 2659, 5071, 692, 288, 269, 19805, 30785, 16511, 725, 692, 272, 269, 6333, 2188, 971, 607, 2139, 2230, 267, 5551, 4463, 267, 543, 3037, 5888, 950, 8939, 4609, 585, 27374, 538, 707, 4677, 11768, 563, 273, 269, 3629, 7850, 1489, 3889, 952, 2556, 267, 3226, 585, 26339, 15013, 780, 289, 269, 20904, 21976, 692, 272, 269, 8617, 14450, 1282, 3819, 28542, 5849, 6099, 1072, 543, 25525, 563, 273, 269, 2398, 12941, 4666, 610, 8697, 16714, 10597, 15312, 1247, 5009, 1007, 2208, 563, 274, 269, 10466, 1996, 3665, 5162, 5210, 1210, 24972, 12734, 25176, 576, 610, 2147, 2326, 949, 581, 2838, 4470, 2390, 2199, 2890, 30873, 2175, 780, 6637, 476, 274, 281, 12019, 570, 26985, 623, 15959, 10118, 1107, 5729, 7304, 895, 9314, 9453, 3281, 668, 1047, 692, 296, 269, 22436, 540, 4635, 623, 15959, 658, 12518, 692, 288, 269, 7043, 17151, 525, 335, 753, 692, 272, 269, 9521, 5993, 338, 267, 17506, 10118, 2132, 1032, 1310, 1032, 267, 5356, 5812, 2773, 543, 4389, 5826, 4170, 563, 273, 269, 12878, 2082, 21064, 15135, 1419, 2154, 1447, 7928, 14450, 3379, 547, 5993, 8768, 10525, 780, 289, 269, 15604, 2561, 7002, 692, 272, 269, 3509, 17506, 10118, 30107, 10694, 6079, 9843, 267, 13626, 18282, 267, 543, 28033, 16714, 602, 3565, 3308, 9029, 2429, 519, 26862, 4005, 563, 273, 269, 7309, 1227, 6220, 891, 2934, 8309, 3648, 2509, 8236, 513, 5963, 15138, 9341, 5605, 4800 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 547, 3533, 3715, 5128, 1369, 7810, 1272, 543, 729, 26815, 1134, 1055, 543, 25133, 585, 267, 676, 476, 9692, 278, 267, 646, 729, 1767, 547, 723, 19017, 811, 982, 11278, 274, 267, 1822, 563, 763, 2262, 532, 540, 1010, 2669, 5469, 267, 1374, 908, 7917, 607, 513, 2048, 874, 559, 20395, 626, 8730, 4667, 547, 5815, 693, 2547, 1079, 1919, 269, 17616, 267, 602, 646, 1185, 513, 10639, 607, 513, 24960, 626, 269, 634, 2146, 2070, 729, 602, 1010, 24960, 344, 729, 711, 1644, 547, 513, 2582, 2680, 267, 855, 602, 621, 729, 606, 10182, 543, 2534, 936, 519, 9645, 1974, 540, 1010, 942, 540, 15335, 538, 519, 12733, 269, 19627, 267, 602, 646, 729, 2219, 540, 607, 513, 2048, 25152, 685, 24960, 626, 269, 901, 5267, 602, 1010, 24960, 344, 729, 9833, 607, 9758, 543, 711, 606, 2534, 609, 1022, 12804, 10262, 30254, 269, 3571, 24960, 344, 267, 1927, 609, 602, 540, 6307, 267, 1223, 711, 723, 1044, 6829, 998, 1022, 26988, 13539, 971, 607, 519, 645, 2940, 14179, 550, 5980, 799, 1152, 3459, 538, 476, 8687, 274, 267, 855, 1590, 723, 1044, 998, 741, 2123, 4308, 902, 563, 288, 3630, 5069, 15656, 23583, 729, 267, 538, 519, 3735, 13524, 2540, 267, 513, 3056, 12438, 518, 540, 17493, 3203, 1133, 687, 538, 5245, 269, 1306, 2038, 607, 519, 476, 7277, 271, 338, 267, 519, 3203, 5742, 7902, 538, 519, 12733, 540, 29517, 950, 24381, 823, 21634, 2023, 267, 606, 7376, 267, 15695, 2048, 20130, 32224, 602, 519, 6498, 540, 1010, 13813, 24484, 902, 1851, 519, 9523, 6868, 786, 1491, 1747, 24199, 667, 17751, 267, 519, 476, 1691, 628, 5130, 476, 7277, 273, 10200, 476, 901, 5650, 7550, 676, 21634, 2023, 729, 1110, 8215, 593, 519, 2296, 2259, 1141, 606, 7376, 4421, 17914, 585, 519, 12871, 540, 513, 1560, 540, 1010, 1568, 540, 1148, 269, 1452, 941, 986, 742, 956, 1141, 519, 7376, 729, 519, 18689, 10706, 540, 519, 23131, 563, 294, 20423, 15568, 713, 2038, 1184, 543, 10443, 2066, 1034, 10125, 540, 5245, 1018, 941, 267, 538, 9759, 267, 27601, 585, 519, 3483, 540, 9870, 7482, 585, 17493, 267, 1498, 930, 6700, 602, 519, 1292, 26988, 18689, 10706, 540, 891, 2048, 9209, 1133, 687, 685, 729, 23583, 5128, 269, 769, 519, 476, 6245, 271, 338, 267, 513, 4965, 5734, 5245, 543, 13864, 2799, 607, 4213, 941, 22625, 539, 543, 30403, 5106, 543, 4758, 585, 26988, 5301, 729, 3648, 4389, 607, 2043, 8179, 547, 32566, 741, 18820, 269, 901, 3576, 1747, 1996, 519, 4282, 540, 606, 2810, 991, 585, 519, 2533, 540, 519, 1585, 1649, 5271, 565, 550, 5238, 607, 519, 32014, 4294, 585, 6351, 269, 1924, 950, 513, 2508, 24597, 4316, 4843, 3294, 547, 1585, 26988, 4703, 3842, 23583, 779, 3203, 1133, 687, 621, 729, 267, 547, 1082, 1347, 885, 267, 513, 1390, 4316, 547, 2744, 1569, 547, 1454, 32571, 7482, 563, 294, 20423, 779, 4282, 568, 21372, 269, 1261, 1767, 602, 646, 729, 4535, 538, 590, 345, 26196, 1066, 267, 6576, 267, 799, 568, 1631, 538, 26403, 807, 267, 593, 519, 27397, 543, 2282, 15519, 320, 1141, 1010, 4651, 729, 513, 21688, 1091, 615, 630, 20776, 613, 517, 264, 543, 1010, 3993, 513, 4571, 2914, 1057, 269, 1261, 24964, 547, 5507, 950, 646, 729, 476, 1428, 610, 476, 1626, 547, 6443, 1010, 7800, 652, 7015, 543, 547, 1265, 960, 547, 1489, 5128, 543, 1767, 602, 267, 5812, 609, 1010, 4332, 2897, 267, 646, 6785, 1134, 519, 6739, 267, 4436, 543, 3943, 4654, 543, 1185, 513, 4023, 1702, 540, 12355, 543, 519, 13669, 31053, 545, 561, 648, 269, 23583, 7283, 538, 5507, 585, 1079, 1296, 267, 4682, 547, 9315, 858, 538, 12986, 1287, 267, 1472, 476, 6642, 276, 267, 6410, 547, 26467, 334, 868, 517, 2048, 3602, 789, 941, 2679, 513, 1007, 546, 1442, 685, 543, 1141, 646, 4682, 883, 1870, 609, 1010, 7820, 7015, 21469, 9513, 11647, 267, 9925, 749, 2044, 543, 16681, 5370, 269, 1261, 1767, 646, 729, 538, 4789, 543, 12986, 585, 2947, 1296, 1354, 4947, 547, 5245, 799, 1131, 1611, 646, 2451, 547, 2097, 547, 5245, 28069, 1472, 476, 6642, 278, 269, 898, 4667, 2693, 267, 4061, 267, 602, 646, 568, 519, 2048, 2704, 6975, 23583, 685, 945, 8452, 593, 519, 8000, 657, 328, 538, 5147, 267, 476, 6642, 278, 269, 0, 20118, 267, 538, 3162, 5607, 621, 568, 811, 519, 2856, 602, 21460, 543, 19446, 616, 1114, 4654, 602, 2099, 1114, 4529, 602, 7173, 5661, 936, 741, 10409, 10486, 607, 11078, 22463, 269, 1284, 1419, 3442, 547, 3494, 543, 3895, 1018, 2306, 2631, 538, 938, 23381, 267, 543, 950, 1004, 2097, 538, 543, 2243, 519, 1259, 649, 5581, 6000, 610, 938, 2528, 649, 616, 660, 1360, 563, 291, 658, 31637, 8428, 689, 1142, 824, 538, 519, 1482, 1259, 4654, 798, 281, 16105, 630, 560, 4450, 13093, 7497, 630, 338, 2432, 13093, 1108, 630, 17882, 338, 540, 3280, 2242, 19916, 630, 17882, 338, 540, 21342, 2242, 264, 543, 5033, 24939, 630, 26074, 1040, 5565, 2081, 540, 6340, 11651, 613, 883, 1079, 1114, 4654, 1813, 547, 519, 4110, 540, 3017, 2864, 982, 519, 2010, 540, 3604, 269, 19446, 267, 593, 519, 824, 1688, 267, 17477, 922, 3909, 543, 6101, 6863, 689, 16130, 543, 8246, 519, 2757, 1546, 7079, 698, 926, 7097, 269, 27009, 267, 513, 7332, 21460, 18702, 708, 600, 543, 513, 9699, 17308, 949, 723, 7411, 7234, 2620, 24396, 3584, 609, 835, 1776, 1813, 547, 891, 3604, 538, 6863, 267, 855, 585, 3339, 7391, 789, 1131, 581, 2111, 547, 1174, 1142, 824, 1175, 5386, 563, 3963, 616, 930, 1004, 865, 1202, 11962, 602, 21460, 543, 19446, 616, 1114, 4654, 286, 1656, 1946, 723, 1004, 538, 9031, 543, 5442, 29953, 1044, 4547, 909, 547, 1589, 602, 1259, 286, 5678, 543, 2528, 616, 865, 23091, 602, 1004, 2516, 1419, 946, 1893, 547, 5581, 2933, 563, 299, 3907, 2065, 2079, 568, 711, 2141, 20833, 2953, 269, 4762, 4288, 936, 519, 10409, 6561, 540, 21460, 568, 10423, 538, 519, 6085, 3296, 540, 938, 2487, 2376, 827, 519, 10600, 1034, 4190, 4654, 269, 2755, 811, 982, 835, 1268, 6376, 539, 602, 519, 21460, 1893, 568, 19621, 267, 18864, 1223, 3858, 593, 1141, 621, 3357, 689, 269, 9603, 547, 513, 3838, 2686, 267, 3140, 543, 3909, 6561, 267, 12428, 568, 2808, 607, 835, 1893, 676, 1082, 540, 922, 10529, 1256, 1498, 789, 949, 711, 581, 2111, 547, 1174, 519, 1896, 1114, 8677, 540, 12428, 2429, 519, 3148, 269, 898, 1281, 711, 1152, 2671, 5072, 609, 19446, 267, 855, 8059, 1235, 2965, 19665, 19446, 268, 21589, 706, 607, 835, 1893, 609, 2185, 3982, 22463, 281, 19446, 267, 21460, 267, 667, 12112, 7236, 630, 4944, 7505, 538, 7187, 3127, 264, 543, 1234, 16223, 3279, 630, 4310, 538, 21460, 6965, 1040 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 968, 763, 2983, 641, 29176, 540, 6052, 21846, 281, 634, 25756, 16748, 5608, 5950, 676, 594, 3918, 2793, 538, 5130, 269, 6271, 568, 519, 1164, 3790, 540, 2504, 543, 17825, 563, 6097, 547, 519, 4139, 6052, 10837, 630, 296, 12788, 1070, 513, 4893, 334, 540, 12457, 7250, 3790, 1175, 936, 1269, 272, 1107, 1818, 621, 8013, 609, 2067, 3154, 269, 634, 3328, 1942, 540, 4544, 7250, 568, 1269, 273, 269, 274, 829, 11304, 269, 634, 3902, 540, 513, 4893, 334, 540, 3039, 7250, 9832, 1063, 1269, 274, 543, 1269, 279, 267, 4470, 593, 519, 1648, 2707, 1031, 543, 519, 3148, 540, 519, 1158, 538, 799, 713, 1648, 568, 3812, 269, 594, 3918, 2793, 25221, 602, 519, 7269, 540, 519, 1158, 779, 7791, 1648, 3761, 543, 12374, 538, 2504, 4336, 786, 1118, 3039, 7250, 513, 2841, 3218, 547, 4544, 538, 476, 10711, 271, 267, 543, 936, 519, 1985, 8717, 2504, 3790, 786, 1935, 1346, 6035, 676, 12457, 7250, 563, 6097, 547, 519, 2817, 4643, 585, 6052, 28841, 630, 11520, 292, 476, 10711, 272, 1070, 5423, 676, 519, 6052, 3194, 15278, 630, 7968, 292, 1070, 606, 3919, 28337, 609, 519, 12080, 540, 631, 1149, 543, 6052, 267, 8478, 568, 538, 513, 2990, 547, 3132, 3039, 7250, 693, 513, 14949, 2557, 982, 519, 3486, 3328, 269, 634, 6059, 1942, 540, 670, 273, 309, 1107, 1813, 547, 519, 3668, 540, 2500, 2504, 1107, 9832, 1063, 2475, 259, 273, 269, 273, 543, 2475, 259, 276, 269, 273, 829, 11304, 538, 519, 2197, 563, 10527, 2442, 1436, 540, 7250, 786, 581, 856, 540, 13766, 269, 1284, 616, 6849, 606, 2825, 6595, 543, 519, 1158, 814, 2907, 7691, 602, 621, 568, 1100, 3476, 2009, 547, 7048, 593, 8093, 10173, 547, 5352, 5201, 543, 547, 1379, 6472, 2223, 3081, 11653, 6754, 334, 2506, 559, 1470, 4406, 3385, 334, 632, 21001, 24229, 267, 10615, 540, 519, 25756, 12524, 693, 19499, 1729, 30511, 3213, 574, 3630, 23958, 543, 3194, 538, 7177, 693, 519, 8549, 2160, 540, 21586, 632, 13191, 10098, 630, 290, 641, 701, 270, 308, 15709, 297, 264, 543, 5518, 540, 519, 19384, 25756, 5948, 630, 5723, 295, 273, 1916, 3080, 4316, 547, 2569, 7250, 2504, 3790, 568, 547, 2333, 519, 4398, 540, 519, 14793, 10045, 269, 12824, 693, 519, 4741, 585, 519, 4886, 540, 23398, 10049, 693, 519, 8549, 2160, 540, 590, 14244, 24883, 630, 7374, 300, 293, 27138, 12396, 10111, 1070, 835, 540, 519, 674, 4338, 2464, 303, 30845, 15544, 585, 3194, 267, 16743, 543, 5262, 4288, 630, 290, 788, 573, 1070, 1353, 2326, 5827, 540, 4227, 1648, 4616, 538, 519, 3114, 29230, 3974, 1184, 540, 519, 1216, 11140, 269, 1306, 2447, 626, 700, 14243, 25556, 4477, 6511, 631, 2444, 16619, 19833, 267, 8689, 540, 1788, 1382, 267, 6045, 267, 835, 540, 519, 1655, 27857, 1107, 6878, 602, 2333, 519, 3432, 540, 3114, 6547, 538, 14793, 3974, 1107, 616, 519, 15626, 8407, 267, 2523, 31091, 269, 19162, 601, 267, 524, 28240, 610, 544, 8432, 321, 6577, 636, 5916, 609, 4401, 23212, 610, 9829, 1938, 609, 1390, 2773, 666, 849, 581, 1031, 563, 763, 772, 12396, 10111, 2319, 568, 3168, 883, 519, 946, 540, 2326, 971, 607, 24489, 12547, 9168, 609, 544, 8432, 321, 6577, 636, 30423, 610, 1585, 23212, 9967, 540, 19695, 267, 7601, 267, 544, 8432, 321, 6577, 636, 543, 4401, 269, 968, 4263, 513, 8047, 4336, 267, 649, 723, 7152, 602, 621, 568, 2009, 547, 3648, 2569, 1648, 4616, 538, 1216, 14793, 3974, 2223, 631, 2444, 16619, 3081, 269, 17454, 5937, 8553, 3282, 2754, 26425, 267, 1071, 17898, 976, 528, 609, 674, 4338, 2464, 303, 540, 1776, 1382, 1788, 538, 799, 631, 2444, 16619, 568, 3238, 267, 593, 1648, 1673, 1619, 19057, 267, 568, 5461, 538, 4152, 27857, 2919, 693, 12681, 2371, 538, 24545, 267, 519, 13814, 543, 20279, 267, 538, 519, 2136, 2276, 454, 4263, 519, 8549, 2160, 540, 595, 792, 5451, 630, 308, 15598, 1070, 7905, 1520, 686, 3570, 715, 17480, 4856, 16699, 267, 540, 519, 4972, 540, 30551, 11061, 543, 8447, 11061, 267, 568, 4974, 17285, 2326, 5827, 540, 2810, 519, 4398, 540, 519, 14793, 10045, 543, 4227, 922, 3790, 269, 634, 1382, 11556, 267, 799, 568, 1869, 538, 922, 3355, 3942, 267, 568, 547, 946, 15451, 14793, 3974, 2281, 267, 1210, 14471, 607, 1979, 665, 520, 3315, 7370, 267, 547, 3132, 7250, 689, 6469, 16894, 610, 4853, 2498, 1663, 757, 269, 634, 2856, 568, 547, 6460, 519, 3114, 1648, 540, 21137, 883, 606, 3167, 1699, 267, 799, 2306, 621, 2009, 547, 3489, 3154, 269, 968, 1607, 1184, 786, 1450, 7250, 2504, 543, 5214, 3653, 4393, 693, 519, 1482, 942, 2223, 4856, 16699, 3081, 563, 10932, 2519, 593, 3039, 7250, 568, 849, 5342, 693, 519, 8549, 2160, 540, 3474, 534, 5451, 630, 308, 293, 11266, 1040, 6314, 626, 4477, 2023, 21280, 2946, 1325, 1407, 267, 4717, 13541, 540, 519, 12524, 585, 24997, 10049, 543, 2037, 25489, 267, 568, 6131, 547, 519, 1353, 540, 1007, 6639, 2409, 585, 4492, 2504, 269, 2290, 540, 873, 3096, 3679, 4551, 547, 6861, 519, 6967, 13947, 689, 4853, 2498, 1663, 757, 563, 763, 7634, 8507, 538, 519, 8313, 540, 1079, 4930, 538, 519, 12139, 4139, 4750, 540, 25756, 6052, 269, 634, 1870, 9388, 609, 7250, 2504, 689, 16894, 538, 1786, 4546, 625, 269, 968, 763, 2462, 5413, 568, 547, 2569, 2504, 3790, 543, 4688, 1216, 2200, 2223, 3081, 1325, 1407, 269, 634, 2504, 1184, 585, 7250, 2504, 786, 581, 5219, 547, 607, 606, 1648, 3070, 585, 519, 1360, 2872, 538, 799, 519, 2498, 23308, 568, 6383, 563, 5194, 2808, 1505, 540, 7250, 2504, 568, 547, 946, 519, 1505, 1634, 607, 3819, 6963, 532, 540, 1979, 30757, 269, 1325, 1407, 6941, 602, 519, 1062, 26770, 547, 946, 519, 15655, 543, 3327, 8166, 1459, 538, 519, 1979, 30757, 547, 5352, 10282, 3154, 267, 799, 568, 513, 7848, 540, 7250, 543, 3327, 24785, 269, 634, 1184, 3217, 1747, 538, 26119, 609, 19695, 2861, 4496, 27857, 267, 693, 513, 2837, 540, 476, 10384, 268, 8517, 11019, 595, 269, 8921, 267, 519, 10282, 3154, 568, 29881, 547, 3489, 7250, 269, 1325, 1407, 25221, 281, 968, 1103, 9316, 609, 519, 4891, 267, 649, 20053, 547, 3888, 513, 12681, 1770, 5827, 540, 6721, 476, 272, 4846, 540, 7250, 829, 5662, 538, 476, 1708, 273, 1848, 9521, 519, 2757, 2067, 3154, 9252, 6963, 532, 1062, 267, 519, 15018, 1062, 1281, 711, 991, 1216, 563, 763, 1353, 540, 7250, 2504, 2409, 602, 798, 711, 7048, 593, 6986, 1216, 585, 741, 4238, 568, 540, 1390, 1719, 543, 568, 5702, 16913, 676, 2872, 4648, 269, 4340, 547, 594, 3918, 2793, 267, 547, 3132, 476, 30156, 2929, 9748, 540, 3039, 7250, 12422, 543, 1683, 476, 1321, 260, 540, 2518, 1648, 3747, 538, 476, 13078, 271, 267, 621, 786, 581, 2556, 547, 8532, 1063, 476, 278, 5479, 543, 476, 280, 5479, 12945, 7397, 540, 1216, 12422, 269, 634, 2698, 568, 1447, 982, 476, 271, 269, 1839, 260, 540, 519, 1699, 4195, 1216, 4616, 269, 898, 949, 3280, 1507, 267, 855, 621, 779, 606, 11141, 2450, 538, 513, 1158, 1141, 971, 513, 4199, 568, 17077, 563, 2108, 310, 2335, 23042, 4950, 10889, 269, 8892, 7141, 31561, 269, 10434, 14537, 1990, 4861, 773, 575, 15843, 269, 717, 15330, 269, 2997, 573, 17082, 269, 24573, 584, 269, 32365, 562, 514, 10937, 3034, 291, 24122, 538, 3687, 553, 281, 7972, 2799, 676, 811, 982, 476, 4335, 260, 3379, 547, 476, 1708, 273, 1107, 717, 5028, 529, 454, 16987, 2939, 281, 13379, 16531, 27817, 21816, 32580, 5565, 3933, 2195, 538, 16170, 1107, 3163, 454, 2710, 596, 723, 1022, 540, 891, 2589, 286, 23206, 267, 621, 949, 581, 513, 10638, 540, 1898, 8324, 0, 11795, 3720, 538, 1374, 540, 5087, 543, 5045, 2842, 3484, 3515, 454, 15253, 1563, 609, 519, 7187, 3148, 267, 1813, 547, 519, 1950, 10923, 543, 20296, 2175, 267, 519, 5045, 814, 513, 1114, 1374, 538, 519, 5087, 543, 5045, 2842, 11396, 269, 1280, 1383, 267, 5230, 11811, 267, 2178, 19711, 28323, 267, 16171, 12469, 267, 7928, 17027, 12469, 538, 519, 5045, 267, 3092, 1421, 786, 723, 513, 2603, 540, 1764, 593, 519, 1374, 540, 2842, 11396, 267, 799, 616, 4686, 538, 519, 1374, 540, 2842, 11396, 538, 519, 5087, 563, 9213, 267, 649, 786, 2911, 827, 519, 3017, 538, 519, 1374, 540, 519, 5087, 543, 5045, 2842, 11396, 563, 5575, 267, 593, 21935, 5619, 454, 306, 924, 5619, 532, 607, 513, 2556, 851, 540, 519, 1899, 1374, 2047, 5540, 519, 6111, 540, 519, 1374, 269, 22702, 609, 519, 5087, 267, 621, 568, 6140, 3046, 1066, 15113, 267, 609, 5266, 1906, 10664, 267, 543, 519, 10664, 538, 519, 7013, 3148, 568, 811, 10053, 267, 799, 814, 7494, 12042, 1229, 519, 3135, 3135, 5619, 960, 269, 5221, 538, 519, 10053, 29990, 2127, 267, 519, 15870, 5365, 786, 581, 4299, 267, 799, 2047, 5540, 519, 960, 4398, 269, 2311, 519, 1482, 942, 267, 519, 14099, 538, 519, 7013, 29990, 1858, 568, 5266, 14869, 267, 799, 814, 513, 1463, 1764, 593, 519, 3135, 5619, 269, 769, 1840, 267, 1585, 5686, 540, 18086, 2831, 616, 11402, 538, 519, 7013, 7823, 4104, 269, 634, 4960, 568, 849, 3152, 982, 519, 5087, 563, 763, 1657, 268, 20197, 3871, 616, 17216, 2810, 519, 7411, 267, 942, 543, 24913, 540, 519, 593, 21935, 11028, 18590, 960, 540, 519, 7013, 2842, 3484, 1899, 563, 13553, 267, 519, 1899, 5122, 454, 272, 267, 1899, 7154, 454, 1103, 519, 5045, 267, 1813, 547, 519, 7928, 12136, 540, 16171, 22856, 543, 519, 5266, 10053, 10664, 538, 519, 5045, 267, 519, 7013, 2842, 11396, 616, 1454, 811, 10814, 2000, 1441, 982, 519, 5087, 563, 763, 1292, 2601, 585, 713, 3510, 568, 602, 952, 606, 16841, 1899, 568, 1031, 267, 950, 513, 16171, 4764, 9568, 4386, 267, 4672, 786, 18645, 593, 519, 1899, 269, 1879, 519, 4672, 7213, 12885, 547, 513, 1978, 6708, 267, 519, 1899, 13486, 3112, 581, 16041, 543, 5555, 2458, 22663, 269, 2311, 519, 1482, 942, 267, 1813, 547, 519, 1804, 1297, 540, 7733, 538, 519, 5045, 267, 519, 2825, 4879, 8257, 540, 519, 661, 8656, 814, 5266, 1164, 4170, 593, 519, 3515, 269, 4475, 267, 1082, 3515, 538, 519, 5045, 946, 10814, 2409, 563, 18814, 547, 519, 1114, 20296, 2175, 538, 519, 5087, 267, 621, 568, 2352, 547, 723, 3978, 4672, 934, 4958, 542, 538, 519, 1899, 269, 4475, 267, 519, 5087, 3792, 1206, 519, 16841, 1899, 1505, 269, 8307, 950, 519, 14099, 2175, 616, 2027, 267, 519, 10814, 1505, 786, 581, 13148, 610, 4625, 1031, 563, 273, 267, 17500, 4027, 27733, 454, 763, 11811, 538, 519, 5045, 568, 3677, 982, 602, 538, 519, 5087, 269, 1703, 616, 811, 19711, 28323, 543, 4927, 1077, 2627, 7297, 269, 4475, 267, 972, 568, 513, 1978, 3017, 538, 519, 17500, 4027, 27733, 540, 519, 3515, 3379, 609, 519, 5087, 563, 1103, 519, 13471, 1374, 540, 519, 7013, 1899, 267, 952, 519, 16841, 1899, 568, 1031, 267, 519, 1297, 540, 1202, 22399, 786, 581, 811, 982, 602, 540, 519, 5087, 267, 543, 519, 4170, 585, 519, 13471, 3845, 786, 581, 3677, 269, 769, 519, 2178, 19711, 10445, 1858, 267, 519, 1374, 786, 8362, 2569, 519, 4027, 5086, 540, 519, 2666, 5911, 563, 763, 2627, 1216, 538, 519, 5045, 568, 13719, 267, 519, 3037, 1216, 1543, 786, 581, 5266, 1164, 267, 543, 621, 786, 723, 930, 3310, 593, 519, 14809, 540, 4496, 2326, 269, 4856, 12509, 4187, 4170, 616, 2362, 950, 8939, 27733, 2326, 269, 769, 519, 5087, 267, 519, 27733, 1570, 568, 3622, 3905, 1673, 760, 27647, 1242, 5180, 5374, 269, 769, 519, 5045, 267, 519, 11098, 540, 519, 27647, 1242, 4494, 540, 3905, 1673, 760, 27647, 1242, 5180, 5374, 2115, 547, 581, 5394, 2989, 267, 610, 824, 2326, 609, 1732, 14809, 4187, 267, 971, 607, 8465, 27948, 5911, 267, 616, 1031, 563, 274, 267, 13621, 4672, 6467, 454, 763, 4672, 2173, 601, 1154, 6467, 568, 3592, 538, 17739, 1043, 538, 519, 5087, 269, 769, 519, 5045, 267, 519, 1379, 7470, 786, 2154, 519, 10380, 540, 513, 13621, 4672, 6467, 693, 519, 14827, 540, 519, 2842, 3484, 269, 634, 4672, 2173, 601, 1154, 6467, 666, 3927, 1852, 519, 13250, 540, 4672, 593, 519, 5911, 563, 23612, 267, 519, 1899, 2497, 454, 763, 5547, 2497, 568, 5631, 6896, 2687, 547, 519, 16841, 1899, 269, 25392, 519, 4672, 13250, 538, 519, 5045, 543, 519, 3510, 540, 4104, 2244, 267, 519, 1899, 13486, 3112, 946, 519, 6671, 22606, 13486, 899, 519, 7187, 851, 269, 2311, 713, 1448, 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 ]
[ 31862, 630, 19640, 6377, 594, 30955, 264, 1282, 519, 3735, 5664, 12698, 269, 2290, 1554, 267, 4914, 21847, 1572, 12724, 19470, 2097, 543, 20630, 707, 2749, 256, 3509, 1004, 1185, 547, 4734, 741, 5321, 543, 3406, 585, 3106, 11992, 269, 2368, 1336, 9675, 538, 513, 3148, 1634, 607, 661, 2869, 639, 267, 4092, 593, 519, 7262, 5032, 540, 10255, 269, 901, 1858, 2968, 513, 2922, 10093, 585, 1346, 945, 19679, 267, 3366, 676, 513, 812, 3957, 7812, 918, 558, 333, 523, 657, 8935, 330, 553, 269, 1261, 20888, 782, 519, 19774, 16380, 267, 15980, 1864, 519, 28215, 834, 320, 2034, 25424, 2437, 899, 519, 13400, 4137, 945, 10710, 2831, 689, 513, 1390, 6360, 269, 7201, 1010, 5718, 267, 661, 2869, 639, 8057, 883, 922, 1378, 3532, 11769, 9789, 2677, 13607, 622, 610, 10988, 760, 1275, 540, 661, 2869, 639, 780, 3086, 267, 1577, 781, 1589, 827, 1018, 1272, 1522, 723, 1044, 899, 585, 2576, 2713, 538, 661, 2869, 639, 1472, 713, 942, 269, 5994, 6972, 1524, 25865, 4565, 9693, 10754, 20898, 609, 15945, 9513, 10477, 23907, 267, 29549, 14546, 267, 543, 4190, 18955, 17234, 269, 1411, 5873, 17137, 6340, 1585, 4654, 543, 22463, 267, 10452, 519, 3309, 3575, 540, 4529, 1631, 10912, 661, 2869, 639, 1753, 269, 2311, 3781, 267, 596, 22401, 693, 519, 6801, 689, 707, 31241, 641, 1247, 6947, 547, 25501, 4687, 8941, 540, 11397, 3338, 789, 10272, 1282, 741, 12599, 269, 5020, 949, 581, 4101, 267, 855, 972, 781, 849, 10761, 543, 4316, 538, 713, 14297, 2146, 780, 4913, 267, 1256, 1498, 661, 2869, 639, 4278, 1882, 267, 824, 4229, 941, 693, 1404, 269, 16828, 267, 513, 2178, 4622, 689, 15231, 28993, 3957, 853, 1030, 534, 772, 549, 20795, 10001, 13660, 20795, 534, 3576, 936, 661, 2869, 639, 538, 476, 16328, 279, 269, 1809, 7227, 256, 2334, 7012, 1405, 519, 1439, 540, 661, 2869, 639, 2943, 269, 15907, 476, 15793, 278, 267, 513, 5395, 15487, 15626, 2006, 3957, 7338, 4083, 2776, 331, 329, 889, 990, 328, 24089, 4547, 1394, 519, 661, 7032, 4710, 2677, 13607, 622, 547, 1379, 269, 2991, 1296, 540, 1689, 543, 24187, 267, 6617, 8120, 2899, 811, 780, 3528, 519, 2038, 476, 1428, 628, 2540, 267, 1776, 6521, 7018, 269, 1323, 7969, 1920, 267, 519, 570, 665, 6523, 267, 6591, 1852, 540, 661, 2869, 639, 269, 2060, 873, 3357, 1007, 7506, 543, 4296, 2066, 519, 11335, 7256, 269, 9282, 661, 2869, 639, 7283, 1507, 3379, 547, 3677, 23693, 267, 922, 2189, 11100, 540, 4529, 1500, 621, 606, 1898, 6345, 538, 6237, 6214, 543, 4123, 780, 1103, 5758, 267, 519, 4473, 543, 2887, 540, 519, 2677, 13607, 622, 610, 10988, 760, 1275, 540, 661, 2869, 639, 20502, 875, 2950, 666, 3082, 9624, 14488, 269, 3245, 22205, 15076, 547, 10188, 2797, 10593, 267, 661, 2869, 639, 6763, 856, 607, 513, 3090, 540, 6043, 543, 2686, 4763, 269, 1306, 649, 3136, 3695, 10120, 3864, 1686, 267, 1832, 713, 11121, 9661, 538, 2247, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 347, 28208, 566, 910, 5851, 17273, 910, 634, 22547, 540, 7507, 910, 23566, 540, 1488, 4900, 910, 8056, 677, 531, 9605, 910, 6181, 687, 570, 8922, 11244, 910, 4210, 3581, 543, 2480, 574, 527, 1513, 910, 661, 4156, 7276, 910, 13207, 710, 543, 12096, 910, 654, 11510, 689, 634, 7256, 910, 4210, 604, 614, 20537, 661, 24346, 2008, 1607, 2864, 1950, 1592, 6227, 13907, 540, 1114, 20850, 2890, 268, 11391, 2231, 689, 519, 6051, 540, 31862, 689, 519, 12724, 19470, 538, 476, 14695, 272, 2394, 476, 16409, 272, 950, 519, 2063, 678, 2794, 1533, 8593, 547, 519, 2663, 16368, 15349, 7952, 269, 31862, 3294, 729, 4503, 538, 476, 13970, 274, 269, 1703, 568, 13907, 540, 2731, 1950, 1686, 3238, 267, 855, 1934, 781, 930, 540, 621, 912, 268, 2677, 13607, 622, 610, 10988, 760, 1275, 540, 661, 2869, 639, 2433, 8547, 538, 476, 6344, 276, 676, 7812, 918, 558, 333, 523, 657, 8935, 330, 553, 267, 661, 2869, 639, 4166, 2968, 519, 1007, 1753, 540, 1082, 5259, 15076, 689, 31862, 267, 634, 1087, 3315, 267, 543, 519, 19994, 641, 517, 333, 3150, 267, 543, 7812, 729, 4330, 607, 513, 2034, 25424, 267, 11324, 5224, 2367, 689, 519, 5824, 6360, 269, 661, 2869, 639, 729, 22482, 676, 519, 5395, 15487, 3751, 853, 1030, 534, 772, 549, 30755, 382, 350, 10001, 13660, 30755, 382, 350, 534, 538, 476, 16328, 279, 267, 855, 538, 476, 15793, 278, 519, 661, 7032, 8527, 534, 2677, 13607, 622, 729, 759, 584, 5550, 539, 896, 2199, 5395, 15487, 15626, 2006, 7338, 4083, 2776, 331, 329, 889, 990, 328, 383, 482, 587, 350, 269, 476, 15221, 277, 519, 570, 665, 1723, 1920, 540, 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, 769, 713, 1576, 1770, 267, 649, 786, 5490, 883, 519, 1158, 540, 8856, 8105, 543, 922, 2078, 609, 2029, 543, 6683, 676, 3695, 519, 2038, 1272, 540, 17587, 31444, 622, 5856, 5261, 674, 4954, 30742, 269, 4014, 674, 4954, 30742, 949, 3100, 899, 606, 12691, 4358, 1448, 585, 7234, 8856, 8105, 267, 1010, 2833, 3395, 909, 1472, 519, 24567, 16456, 2872, 1282, 519, 3735, 13524, 543, 2038, 14206, 5553, 1683, 3407, 4030, 883, 875, 6283, 4066, 9927, 6694, 2853, 269, 1635, 6313, 674, 4954, 30742, 781, 6689, 998, 519, 7828, 540, 1762, 2937, 15923, 267, 649, 666, 1732, 1174, 519, 3140, 2796, 602, 5795, 4473, 547, 2413, 8856, 8105, 2553, 780, 2414, 2253, 267, 1577, 721, 2263, 519, 4644, 540, 519, 16456, 2872, 538, 5935, 1977, 6683, 1282, 713, 1974, 269, 6969, 519, 4417, 540, 7839, 16749, 5121, 267, 6705, 5097, 16941, 593, 3662, 1379, 543, 2199, 6990, 547, 15814, 741, 5370, 269, 1717, 267, 519, 7269, 540, 16456, 338, 4847, 585, 811, 3608, 3560, 540, 7031, 543, 13184, 936, 1279, 9883, 267, 7175, 3677, 8397, 2504, 543, 7463, 6237, 6683, 269, 1306, 2938, 538, 674, 4954, 30742, 781, 12092, 267, 1010, 1920, 729, 7184, 4448, 547, 519, 16456, 2872, 282, 1010, 22516, 8547, 519, 13323, 543, 9628, 21805, 267, 799, 19658, 4296, 1063, 7187, 543, 7013, 2829, 267, 5009, 2804, 2208, 543, 13321, 6917, 2950, 780, 3086, 4952, 1373, 674, 4954, 30742, 5128, 267, 26164, 891, 2242, 11200, 2429, 707, 24233, 1296, 269, 19663, 909, 2282, 519, 13323, 543, 9628, 21805, 22071, 538, 681, 2118, 344, 267, 14967, 267, 1131, 723, 6534, 596, 547, 5499, 2845, 6750, 2994, 543, 6932, 2792, 2645, 2556, 585, 5883, 1950, 3761, 11800, 269, 1452, 13341, 2693, 17275, 7279, 827, 19713, 1007, 4066, 547, 2087, 4398, 543, 7607, 1369, 1585, 6080, 267, 1519, 6683, 269, 11569, 267, 1082, 19320, 2291, 1063, 519, 3741, 13057, 519, 1646, 540, 16749, 1949, 543, 1346, 5817, 4207, 8856, 8105, 2409, 269, 1280, 3236, 267, 1312, 7048, 8185, 593, 1239, 2079, 267, 12957, 267, 543, 14479, 547, 20928, 3157, 543, 11126, 4093, 780, 2026, 649, 5912, 689, 6236, 519, 6626, 5222, 540, 22713, 593, 6683, 547, 2519, 4481, 593, 8856, 8105, 267, 621, 568, 1898, 547, 5581, 1018, 10502, 13054, 713, 2259, 269, 4340, 547, 519, 2817, 3194, 7027, 267, 8856, 8105, 4016, 547, 834, 2006, 1771, 2994, 602, 946, 1344, 703, 13208, 547, 1450, 3484, 11378, 547, 581, 9867, 2066, 4610, 547, 811, 8308, 2743, 7693, 2115, 1701, 901, 1935, 1419, 3322, 9001, 4359, 4066, 971, 607, 2518, 17568, 1949, 630, 294, 4916, 1070, 13664, 1344, 1949, 630, 31043, 1070, 6552, 15392, 267, 12747, 12227, 267, 543, 2462, 1239, 12642, 269, 3414, 891, 1797, 267, 6705, 666, 5531, 5730, 1344, 827, 3037, 2175, 267, 8770, 2157, 267, 7509, 1543, 267, 10860, 267, 543, 824, 2188, 7133, 7693, 1072, 543, 6556, 269, 20331, 609, 713, 1702, 267, 12696, 616, 1287, 2111, 547, 1118, 5483, 3664, 3823, 4199, 14305, 267, 9544, 3270, 267, 12555, 2359, 267, 543, 7556, 12557, 267, 6038, 3056, 547, 2799, 20656, 1247, 10893, 2825, 1764, 780, 4131, 721, 1631, 4983, 930, 1808, 3344, 540, 8856, 8105, 543, 2015, 875, 789, 9305, 547, 674, 4954, 30742, 781, 6107, 269, 2290, 1883, 5057, 540, 713, 4480, 568, 4756, 2557, 3498, 630, 309, 6938, 1070, 799, 14122, 14577, 3403, 2157, 2687, 547, 3135, 10391, 4170, 2864, 982, 7311, 873, 25144, 2066, 3003, 4610, 269, 6270, 6098, 2126, 2636, 6705, 547, 18359, 2200, 267, 2569, 3653, 267, 543, 3986, 1587, 2298, 269, 21452, 267, 2147, 3741, 11461, 674, 4954, 30742, 781, 22516, 950, 5665, 519, 13323, 543, 9628, 21805, 1107, 3079, 540, 14335, 513, 2582, 3376, 15378, 3950, 8220, 19635, 6753, 267, 646, 1904, 539, 585, 513, 7522, 518, 4244, 3358, 547, 3514, 519, 2189, 32725, 540, 519, 3148, 781, 14099, 269, 901, 3375, 13087, 811, 3608, 12445, 998, 4101, 8916, 543, 14550, 519, 1871, 540, 16419, 3435, 538, 5355, 2949, 2773, 780, 5194, 2565, 3693, 540, 8856, 8105, 568, 15870, 10276, 12574, 5583, 1949, 267, 799, 5512, 6191, 547, 1246, 24441, 10092, 609, 7415, 6111, 269, 901, 12588, 6971, 16937, 543, 5849, 5812, 19437, 1063, 9343, 267, 7551, 2810, 10512, 4398, 543, 4227, 4492, 4616, 269, 2755, 9682, 2861, 12445, 1705, 711, 1831, 4922, 2139, 2394, 1896, 5756, 1310, 674, 4954, 30742, 781, 942, 267, 1010, 4598, 547, 5969, 12967, 6283, 4066, 949, 1134, 723, 27838, 606, 7071, 585, 519, 1761, 2640, 540, 971, 10124, 538, 6683, 269, 5015, 267, 519, 11944, 540, 14628, 6472, 543, 19025, 9280, 609, 10427, 8596, 814, 1152, 9450, 519, 7399, 585, 1483, 6066, 5464, 543, 6304, 1369, 2413, 8105, 4238, 780, 288, 3791, 2460, 4502, 10223, 568, 519, 1909, 540, 1239, 12642, 538, 26655, 8856, 8105, 3664, 269, 4653, 781, 25210, 723, 1569, 547, 5318, 7708, 1407, 540, 1344, 6383, 676, 1585, 2959, 267, 8151, 689, 4365, 23004, 547, 3684, 7658, 3901, 923, 269, 1635, 7421, 891, 14449, 1210, 4359, 6620, 543, 14839, 2645, 267, 6705, 666, 10625, 6456, 3270, 267, 3589, 2104, 3466, 267, 543, 2697, 3255, 585, 11938, 269, 4495, 1586, 267, 649, 1265, 30172, 540, 713, 7613, 538, 674, 4954, 30742, 781, 2250, 281, 1010, 4651, 781, 960, 607, 513, 18213, 8665, 2838, 22111, 2594, 5329, 267, 7580, 4058, 267, 543, 13261, 3375, 1818, 1759, 593, 2479, 19145, 6381, 1107, 1983, 3810, 4143, 547, 3811, 6388, 540, 8856, 8105, 2853, 2221, 780, 1103, 3932, 267, 4352, 9674, 676, 5176, 513, 2540, 267, 972, 6818, 513, 11495, 15364, 1063, 519, 6639, 7760, 14754, 676, 5261, 674, 4954, 30742, 1282, 1010, 6107, 543, 519, 5571, 4720, 540, 8856, 8105, 2409, 269, 5637, 21384, 2992, 513, 3838, 7029, 547, 5647, 267, 4398, 267, 543, 6940, 20690, 2740, 676, 11826, 1239, 2079, 543, 5483, 3375, 1818, 269, 5047, 267, 674, 4954, 30742, 781, 2123, 1686, 5713, 607, 513, 8903, 12576, 540, 519, 7096, 3310, 25116, 676, 6283, 4066, 593, 6694, 2853, 267, 25967, 1681, 519, 2956, 540, 15834, 5380, 538, 1620, 519, 15491, 2591, 543, 3255, 6849, 2413, 1426, 1949, 780, 9961, 713, 1576, 1770, 267, 649, 723, 8268, 519, 3140, 5072, 540, 8856, 8105, 267, 5373, 4296, 1063, 2250, 7835, 543, 1459, 3466, 269, 1284, 723, 8947, 1883, 2035, 971, 607, 4756, 2557, 3498, 267, 15870, 10276, 12574, 5583, 1949, 267, 543, 1239, 12642, 267, 11744, 875, 1142, 4249, 513, 2629, 1909, 538, 7393, 6694, 7607, 1247, 10893, 2825, 2800, 269, 3958, 267, 649, 723, 2808, 519, 2081, 538, 799, 674, 4954, 30742, 781, 1378, 2833, 1522, 723, 8032, 1010, 5133, 593, 2029, 543, 3356, 267, 27283, 11972, 4798, 602, 3136, 547, 13469, 1369, 4207, 27964, 4478, 8856, 8105, 780, 3528, 2502, 609, 891, 3584, 998, 513, 2239, 2943, 2219, 4538, 7828, 267, 649, 4126, 547, 723, 6273, 2417, 8086, 593, 519, 6946, 3347, 1851, 2029, 267, 6683, 267, 543, 1480, 1995, 269, 11086, 267, 938, 3804, 568, 711, 8806, 547, 18836, 23610, 1702, 855, 849, 547, 11349, 513, 4514, 7071, 585, 519, 10848, 7915, 538, 10188, 519, 6385, 4657, 5251, 540, 8856, 8105, 267, 16779, 1053, 547, 3565, 25006, 547, 713, 4105, 2361, 607, 3743, 12403, 1841 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 414, 352, 370, 414, 352, 378, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 454, 414, 352, 379, 414, 352, 379, 414, 350, 485, 414, 510, 478, 414, 510, 502, 414, 510, 481, 414, 350, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 351, 478, 414, 350, 508, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 351, 372, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 454, 414, 350, 509, 414, 351, 379, 414, 352, 379, 414, 352, 484, 414, 510, 478, 414, 352, 372, 414, 510, 485, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 351, 482, 414, 350, 376, 414, 510, 479, 414, 351, 478, 414, 352, 478, 414, 350, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 352, 355, 414, 352, 482, 414, 510, 478, 414, 352, 510, 414, 350, 482, 414, 352, 372, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 454, 414, 352, 371, 414, 352, 361, 414, 351, 375, 414, 352, 379, 414, 350, 379, 414, 510, 479, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 502, 414, 352, 356, 414, 352, 364, 414, 352, 379, 414, 350, 379, 414, 510, 379, 414, 510, 355, 414, 351, 353, 414, 352, 368, 414, 352, 379, 414, 352, 379, 414, 352, 371, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 454, 414, 352, 379, 414, 352, 379, 414, 352, 372, 414, 352, 379, 414, 350, 485, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 486, 414, 510, 505, 414, 510, 505, 414, 510, 505, 414, 510, 496, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 350, 379, 414, 510, 509, 414, 510, 373, 414, 352, 376, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 454, 414, 352, 379, 414, 510, 372, 414, 352, 379, 414, 352, 379, 414, 350, 485, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 350, 500, 414, 510, 478, 414, 351, 510, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 454, 414, 350, 379, 414, 352, 378, 414, 352, 379, 414, 352, 372, 414, 350, 485, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 351, 478, 414, 352, 368, 414, 352, 484, 414, 352, 478, 414, 352, 478, 414, 352, 353, 414, 352, 368, 414, 352, 370, 414, 352, 370, 414, 352, 378, 414, 352, 379, 414, 352, 371, 414, 352, 355, 414, 352, 368, 414, 352, 376, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 454, 414, 350, 485, 414, 352, 379, 414, 352, 379, 414, 350, 505, 414, 350, 485, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 352, 510, 414, 351, 378, 414, 350, 509, 414, 510, 505, 414, 510, 505, 414, 510, 375, 414, 510, 505, 414, 510, 505, 414, 510, 505, 414, 510, 379, 414, 510, 379, 414, 510, 379, 414, 510, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 454, 414, 510, 497, 414, 351, 479, 414, 352, 361, 414, 352, 379, 414, 510, 485, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 351, 510, 414, 350, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 351, 364, 414, 350, 379, 414, 352, 375, 414, 510, 485, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 352, 510, 414, 352, 370, 414, 352, 370, 414, 352, 370, 414, 352, 370, 414, 352, 379, 414, 352, 379, 414, 350, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 454, 414, 351, 494, 414, 352, 363, 414, 510, 508, 414, 510, 479, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 352, 482, 414, 510, 365, 414, 352, 482, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 372, 414, 350, 356, 414, 510, 509, 414, 510, 484, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 502, 414, 510, 379, 414, 351, 379, 414, 510, 379, 414, 510, 379, 414, 352, 379, 414, 350, 379, 414, 352, 379, 414, 510, 481, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 454, 414, 350, 378, 414, 510, 481, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 502, 414, 351, 355, 414, 350, 486, 414, 510, 480, 414, 510, 478, 414, 510, 495, 414, 351, 482, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 486, 414, 351, 510, 414, 352, 379, 414, 510, 478, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 454, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 486, 414, 510, 496, 414, 350, 482, 414, 510, 478, 414, 510, 478, 414, 510, 495, 414, 510, 482, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 351, 478, 414, 352, 510, 414, 352, 353, 414, 352, 355, 414, 352, 355, 414, 352, 376, 414, 350, 493, 414, 510, 367, 414, 352, 506, 414, 351, 379, 414, 510, 375, 414, 351, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 454, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 479, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 351, 510, 414, 352, 371, 414, 352, 355, 414, 352, 353, 414, 352, 478, 414, 352, 478, 414, 352, 478, 414, 352, 368, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 350, 379, 414, 510, 375, 414, 510, 484, 414, 510, 372, 414, 352, 492, 414, 352, 356, 414, 510, 478, 414, 510, 486, 414, 510, 503, 414, 510, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 454, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 351, 478, 414, 352, 482, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 352, 372, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 510, 479, 414, 352, 510, 414, 350, 482, 414, 510, 478, 414, 352, 379, 414, 351, 373, 414, 350, 485, 414, 351, 372, 414, 350, 478, 414, 510, 478, 414, 510, 486, 414, 510, 375, 414, 351, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 454, 1892, 30971, 267, 602, 5654, 2731, 3579, 267, 855, 1577, 781, 2119, 543, 1832, 519, 8292, 585, 2243, 543, 4267, 1152, 281, 994, 1892, 594, 991, 547, 1174, 1966, 476, 273, 593, 24758, 1899, 30838, 543, 12971, 454, 1892, 3371, 568, 513, 4640, 1384, 31161, 519, 3039, 1899, 5196, 519, 4544 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 700, 1046, 514, 267, 607, 28020, 1634, 585, 1010, 10839, 968, 288, 4023, 1554, 779, 960, 585, 606, 9237, 1554, 779, 2628, 892, 729, 606, 9721, 4123, 9769, 626, 607, 1134, 607, 606, 19191, 269, 1261, 729, 4535, 547, 9721, 3237, 593, 519, 476, 2641, 560, 540, 5130, 476, 6942, 277, 538, 20506, 23051, 282, 4789, 563, 22832, 700, 1046, 514, 1705, 8261, 960, 543, 2968, 513, 2062, 2006, 693, 519, 20506, 23051, 2703, 802, 269, 1261, 2663, 2968, 513, 24180, 945, 10692, 585, 4600, 547, 1205, 15028, 2324, 2175, 543, 3893, 3238, 609, 519, 2817, 5742, 540, 667, 1442, 6997, 537, 516, 3464, 630, 301, 11070, 299, 264, 1141, 646, 2968, 513, 2407, 6066, 4123, 9769, 28013, 538, 476, 5002, 276, 563, 299, 1046, 514, 8694, 909, 1210, 17740, 656, 10880, 2409, 799, 28209, 689, 519, 3919, 779, 3105, 2409, 540, 11495, 269, 769, 476, 5002, 278, 267, 715, 11070, 299, 8179, 547, 1847, 6276, 547, 25212, 1141, 2663, 646, 729, 2111, 547, 1265, 519, 9721, 13255, 543, 4937, 20709, 685, 5742, 269, 700, 1046, 514, 779, 1292, 2832, 729, 585, 519, 9952, 543, 5667, 330, 2683, 9721, 31356, 547, 6443, 835, 9769, 799, 1131, 1118, 2386, 602, 741, 10304, 1131, 581, 6743, 1310, 563, 1103, 476, 5002, 279, 267, 6276, 13890, 519, 2797, 10872, 602, 519, 3919, 1131, 946, 269, 898, 7150, 602, 972, 1131, 581, 519, 11865, 540, 960, 585, 519, 32014, 267, 533, 5014, 585, 4600, 693, 2085, 476, 2568, 543, 513, 11311, 2324, 1974, 540, 5216, 3108, 513, 1554, 563, 299, 1046, 514, 2319, 539, 909, 609, 6276, 1230, 333, 14709, 538, 476, 4489, 273, 547, 1106, 519, 9721, 8534, 9549, 543, 9415, 9721, 4600, 547, 979, 593, 10880, 1141, 646, 3366, 269, 769, 476, 4489, 274, 267, 519, 25212, 24522, 719, 10880, 9863, 547, 581, 1034, 8037, 950, 936, 476, 1911, 267, 1822, 4600, 4682, 593, 10880, 585, 811, 982, 5722, 3275, 543, 607, 513, 1267, 10888, 519, 1318, 547, 4023, 7694, 269, 6276, 700, 1046, 514, 1705, 711, 946, 5208, 538, 16716, 2094, 646, 6785, 602, 646, 1223, 2760, 5531, 909, 2614, 31356, 547, 10880, 952, 646, 10032, 741, 9036, 269, 4014, 519, 9721, 2046, 729, 1996, 700, 1046, 514, 267, 646, 1869, 1185, 3875, 18793, 543, 849, 519, 1489, 540, 1390, 1004, 971, 607, 4790, 766, 4460, 773, 17771, 345, 543, 18536, 13428, 572, 563, 1103, 476, 4489, 275, 267, 700, 1046, 514, 4682, 547, 772, 2529, 547, 6318, 7482, 547, 4339, 6628, 543, 8678, 519, 31012, 9549, 540, 3013, 269, 2991, 6276, 1230, 333, 14709, 779, 2669, 267, 700, 1046, 514, 8547, 519, 6276, 1230, 333, 14709, 31012, 11833, 538, 476, 4489, 279, 538, 1715, 3840, 563, 289, 5090, 1326, 2480, 1551, 568, 513, 16073, 543, 513, 5856, 609, 513, 2648, 540, 3384, 1543, 602, 11498, 2066, 5867, 269, 4173, 13144, 1921, 609, 9458, 14156, 543, 6457, 1302, 269, 1280, 936, 19939, 1296, 20710, 1326, 729, 513, 12119, 10324, 16073, 585, 8613, 267, 22099, 267, 543, 14318, 269, 2701, 4867, 1568, 693, 2051, 756, 686, 2289, 3930, 269, 2701, 9843, 909, 519, 4640, 267, 12352, 543, 1543, 1646, 972, 269, 11545, 1352, 1568, 593, 3232, 1646, 543, 3523, 919, 609, 3486, 3376, 322, 7539, 267, 1788, 4891, 267, 543, 13007, 602, 6770, 3785, 547, 4641, 269, 2701, 2813, 2051, 756, 686, 1317, 1352, 8179, 856, 513, 1753, 585, 1200, 3860, 2093, 269, 769, 1200, 3105, 4876, 1352, 729, 513, 7641, 16073, 543, 1200, 3804, 729, 547, 3142, 3025, 779, 2093, 547, 1272, 269, 2051, 756, 686, 568, 519, 1747, 1141, 1352, 3142, 782, 540, 1200, 2093, 547, 1272, 269, 769, 8744, 2093, 547, 1272, 267, 20710, 1326, 2829, 602, 621, 568, 2687, 547, 519, 1788, 543, 621, 779, 6667, 269, 20710, 1326, 2090, 1200, 960, 543, 2731, 1281, 1018, 1352, 666, 547, 1205, 6667, 543, 547, 1118, 891, 2093, 1831, 1483, 269, 4173, 5796, 547, 1200, 7820, 1582, 729, 547, 1205, 7759, 540, 1022, 4250, 267, 3972, 519, 3460, 267, 543, 547, 3494, 538, 707, 2696, 3766, 1508, 13344, 269, 2701, 849, 11099, 596, 1058, 581, 18507, 585, 945, 543, 1018, 596, 723, 543, 5660, 519, 3283, 596, 2648, 563, 289, 5090, 1326, 568, 513, 6093, 1268, 945, 6238, 1200, 1554, 856, 676, 1199, 23550, 269, 2701, 1287, 4991, 513, 11116, 547, 3548, 609, 1200, 1920, 543, 12212, 11564, 1200, 5604, 269, 2701, 2760, 3096, 1200, 6049, 1282, 713, 942, 267, 1352, 3096, 519, 942, 547, 1445, 593, 519, 1554, 543, 519, 3785, 1352, 814, 20898, 909, 269, 2701, 1568, 538, 1200, 5604, 689, 827, 476, 280, 547, 476, 1321, 799, 568, 519, 12557, 538, 799, 1352, 1281, 1034, 540, 1200, 3206, 543, 1603, 269, 2701, 543, 1200, 1920, 723, 513, 3232, 12899, 1141, 789, 6108, 741, 1920, 942, 1927, 269, 2991, 476, 273, 533, 6230, 269, 1200, 960, 8430, 568, 1360, 8465, 269, 4438, 713, 942, 1352, 14509, 2835, 267, 5205, 909, 593, 15737, 267, 14478, 7641, 14501, 267, 543, 19707, 1472, 585, 1788, 1344, 269, 4438, 519, 10543, 789, 1491, 741, 5067, 593, 513, 588, 2651, 543, 4249, 693, 519, 6288, 1354, 2348, 12129, 269, 2991, 1200, 5067, 568, 18069, 1352, 2901, 1281, 811, 960, 267, 610, 29167, 8613, 267, 3217, 513, 8602, 267, 543, 6368, 4991, 930, 1964, 563, 32178, 589, 269, 8055, 267, 16628, 267, 543, 7022, 540, 1530, 2017, 639, 16370, 267, 814, 14478, 1010, 538, 22940, 10912, 3060, 1332, 547, 936, 476, 26727, 267, 1822, 266, 5561, 18487, 269, 1280, 936, 476, 1839, 1296, 267, 789, 723, 3743, 585, 4393, 6634, 540, 538, 22940, 7125, 269, 769, 10863, 723, 1044, 30890, 609, 741, 2648, 3283, 538, 513, 15494, 531, 20576, 1317, 540, 519, 8375, 1942, 540, 538, 22940, 7125, 269, 4653, 267, 1530, 2017, 639, 568, 835, 540, 519, 4102, 3395, 3060, 7426, 609, 10097, 2472, 267, 2533, 267, 543, 2934, 269, 1715, 5561, 616, 14376, 547, 11578, 585, 606, 2272, 18172, 593, 519, 12600, 1530, 2017, 639, 16370, 12600, 3896, 269, 4256, 568, 835, 540, 476, 1626, 267, 1822, 7874, 8668, 4648, 2139, 547, 4217, 596, 609, 707, 1007, 267, 610, 4540, 2272, 563, 5445, 723, 1831, 513, 6566, 328, 699, 538, 22940, 8502, 676, 6947, 547, 1018, 741, 5561, 723, 547, 2161, 609, 513, 9120, 5955, 2934, 2139, 593, 741, 3896, 269, 6258, 1018, 1866, 723, 547, 2161, 827, 1530, 2017, 639, 16370, 269, 1358, 3459, 607, 513, 2229, 32486, 538, 22940, 7939, 10912, 8502, 267, 3743, 585, 13178, 267, 543, 5464, 547, 2149, 519, 2489, 1857, 269, 1530, 2017, 639, 2306, 2386, 824, 7426, 899, 6820, 20052, 6441, 1074, 616, 538, 10220, 609, 2229, 1533, 267, 543, 5313, 4441, 269, 1703, 941, 1360, 1906, 27753, 609, 1530, 2017, 639, 16370, 4180, 741, 5561, 616, 8391, 1169, 8792, 16798, 896, 741, 3028, 6876, 563, 20376, 32203, 16370, 17972, 454, 28723, 9796, 18169, 454, 2252, 596, 2461, 29933, 1296, 540, 2085, 267, 610, 4587, 267, 543, 723, 513, 4570, 8569, 1505, 282, 2972, 4359, 2628, 3681, 689, 1530, 2017, 639, 269, 5620, 519, 3764, 2139, 950, 596, 4309, 513, 1289, 689, 606, 538, 22940, 1510, 8488, 267, 610, 9878, 3063, 12375, 563, 1103, 10863, 723, 1569, 547, 513, 642, 18757, 16942, 1062, 3177, 676, 519, 9744, 3850, 31852, 547, 4309, 6835, 689, 2828, 267, 2648, 3283, 267, 543, 741, 3656, 8480, 585, 513, 1507, 4393, 13927, 269, 769, 10863, 2760, 723, 547, 4413, 856, 593, 1271, 1920, 3877, 267, 610, 2648, 3283, 666, 3247, 676, 547, 2161, 32597, 563, 289, 22877, 513, 1530, 2017, 639, 16370, 6075, 2221, 267, 543, 4688, 563, 309, 6359, 599, 661, 1873, 15546, 568, 519, 1071, 1922, 10133, 543, 519, 10324, 28579, 540, 519, 1627, 296, 6828, 540, 14992, 269, 1261, 568, 513, 7986, 16724, 267, 606, 3486, 10584, 267, 543, 606, 2278, 269, 1261, 814, 2854, 476, 277, 2835, 519, 2063, 835, 13886, 5565, 3687, 2373, 689, 519, 2806, 903, 338, 630, 1001, 277, 1916, 5278, 540, 519, 17758, 616, 2048, 17220, 26064, 538, 6820, 6355, 11150, 685, 13752, 676, 519, 968, 17471, 25944, 585, 4658, 540, 4095, 18882, 630, 294, 8008, 22473, 1070, 892, 14570, 1014, 6355, 22952, 16628, 267, 17151, 8135, 19793, 22777, 13815, 585, 6820, 29661, 1222, 630, 1001, 277, 264, 1851, 824, 17758, 269, 966, 6359, 599, 661, 1873, 15546, 568, 849, 519, 13653, 540, 966, 6359, 599, 541, 520, 5864, 7690, 543, 519, 681, 20263, 7690, 269, 1261, 568, 513, 6109, 1825, 591, 538, 4543, 824, 1004, 945, 616, 538, 991, 540, 1018, 646, 666, 6488, 269, 3571, 13210, 616, 5059, 593, 4543, 519, 15726, 302, 779, 543, 824, 2146, 1646, 7341, 945, 616, 7722, 538, 2238, 540, 1126, 16882, 267, 2021, 16882, 267, 543, 2027, 991, 1453, 779, 2069, 269, 6258, 811, 827, 966, 6359, 599, 661, 1873, 15546, 281, 5291, 2517, 4178, 6155, 333, 664, 29953, 2593, 14121, 8084, 23218, 6359, 599, 268, 525, 8705, 534, 543, 4179, 2517, 4178, 269, 600, 7571, 23357, 270, 8967, 1877, 4149, 559, 775, 13305, 6359, 599, 7232, 1873, 15546, 3887, 1504, 7933, 335, 20324, 25484, 309, 4488, 273, 21397, 454, 309, 6359, 599, 661, 1873, 15546, 3081, 602, 519, 4493, 540, 1627, 296, 6828, 540, 3549, 729, 519, 1627, 25892, 543, 519, 3375, 547, 6443, 3060, 6725, 269, 2311, 1101, 267, 646, 729, 711, 2386, 952, 519, 2856, 1131, 960, 855, 2390, 6388, 540, 519, 2856, 267, 621, 5249, 899, 9059, 269, 966, 6359, 599, 4718, 972, 729, 513, 1870, 4316, 602, 11478, 538, 519, 5610, 540, 2757, 6725, 2409, 543, 519, 1007, 5736, 540, 552, 19645, 563, 3891, 3081, 602, 519, 2093, 540, 4358, 513, 1870, 1185, 2141, 1044, 972, 1282, 1010, 13464, 2395, 269, 1717, 267, 519, 1292, 2601, 646, 3323, 519, 2754, 729, 602, 646, 729, 2469, 998, 930, 11315, 942, 20019, 563, 3891, 568, 9599, 676, 17522, 7678, 538, 1870, 2094, 713, 568, 1018, 3366, 547, 519, 4332, 540, 1627, 296, 1895, 540, 3549, 269, 1358, 1185, 741, 1870, 2203, 1256, 1354, 519, 15055, 540, 1325, 756, 19487, 267, 8835, 267, 552, 29074, 267, 543, 1866, 5734, 519, 2344, 269, 1261, 14621, 1010, 1870, 2203, 607, 519, 22082, 540, 2413, 1554, 3060, 6725, 563, 2690, 519, 1101, 942, 538, 827, 32210, 1296, 20279, 779, 13669, 657, 6052, 20941, 2059, 609, 5507, 2861, 20031, 1512, 13813, 1773, 322, 543, 6792, 779, 23683, 13813, 1299, 13937, 723, 3141, 330, 519, 1101, 27352, 11262, 21369, 3282, 1134, 269, 4706, 6792, 779, 5397, 547, 3142, 4914, 15712, 547, 922, 3282, 2344, 2631, 922, 3084, 1436, 540, 922, 3282, 2872, 538, 562, 31106, 13977, 5216, 269, 634, 2098, 4821, 268, 272, 1134, 1055, 519, 1533, 540, 21741, 553, 1723, 6585, 5111, 2947, 4627, 2929, 29054, 540, 3282, 543, 786, 1491, 827, 562, 27197, 2395, 547, 2347, 519, 17656, 269, 645, 27570, 1310, 6792, 20366, 547, 1930, 922, 3282, 2872, 814, 1291, 547, 713, 4090, 748, 4090, 267, 607, 519, 1533, 24507, 26771, 814, 1044, 4371, 676, 8891, 14337, 657, 11204, 657, 585, 1082, 1296, 269, 901, 1134, 786, 581, 16994, 569, 14478, 585, 2104, 9520, 538, 519, 2872, 563, 20755, 30338, 543, 1010, 4891, 1185, 547, 581, 18762, 1310, 519, 2883, 6433, 540, 1079, 8536, 543, 5216, 269, 2991, 1373, 7142, 547, 6494, 2724, 547, 519, 8492, 789, 1223, 1152, 6488, 547, 979, 1310, 519, 1034, 19311, 9634, 269, 17652, 1310, 676, 8938, 22221, 519, 2319, 693, 27925, 16709, 1185, 23060, 519, 2754, 779, 2450, 543, 3323, 13669, 657, 6052, 609, 1269, 7785, 2929, 538, 9698, 269, 31071, 291, 3428, 923, 3957, 13669, 657, 519, 1655, 9036, 1851, 1507, 4213, 267, 855, 713, 7012, 1406, 998, 22406, 1416, 16451, 10182, 269, 898, 3217, 2182, 960, 547, 581, 3811, 693, 4376, 269, 30338, 814, 1747, 9698, 609, 1010, 5520, 14785, 13007, 269, 8307, 649, 6430, 875, 1454, 649, 616, 4502, 267, 30338, 814, 1767, 538, 606, 5967, 563, 307, 531, 657, 568, 4712, 547, 16926, 543, 1332, 811, 609, 936, 2947, 4627, 2929, 9489, 538, 15810, 8907, 713, 1032, 269, 13669, 657, 661, 1676, 613, 344, 814, 606, 29426, 5397, 602, 568, 513, 1118, 621, 610, 2736, 621, 10182, 269, 30338, 568, 519, 2186, 540, 18560, 602, 568, 899, 3142, 803, 707, 7887, 3983, 323, 652, 1655, 2093, 1256, 952, 922, 4557, 522, 685, 22018, 693, 3781, 269, 1261, 6499, 1010, 5520, 543, 9520, 547, 917, 646, 568, 856, 972, 3843, 547, 1118, 873, 2724, 269, 2506, 6819, 1010, 9946, 540, 519, 2250, 1247 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11924, 326, 3287, 4297, 6818, 543, 11224, 519, 2040, 540, 519, 3105, 1079, 7182, 563, 763, 598, 2091, 547, 713, 3948, 568, 711, 3622, 3020, 269, 2422, 540, 621, 538, 6061, 1966, 476, 1015, 666, 1291, 547, 7965, 269, 594, 6700, 602, 649, 1689, 476, 1015, 5594, 267, 543, 2015, 1929, 343, 734, 285, 266, 8882, 6541, 20572, 274, 14370, 343, 273, 14870, 316, 268, 314, 343, 274, 14370, 343, 273, 21147, 13580, 1141, 519, 1267, 786, 581, 1114, 269, 1411, 991, 547, 581, 6297, 2439, 19370, 14245, 454, 26200, 1500, 676, 15516, 269, 27347, 543, 6004, 269, 5487, 289, 537, 742, 269, 594, 6836, 547, 14441, 602, 741, 2042, 267, 4352, 5310, 711, 607, 9583, 6946, 607, 1866, 267, 941, 1271, 538, 3156, 780, 21008, 2581, 14497, 454, 296, 7150, 519, 1257, 781, 2101, 6476, 1267, 543, 6836, 513, 1906, 2042, 689, 476, 1556, 269, 275, 269, 594, 7150, 602, 519, 2101, 6476, 5820, 941, 519, 533, 1606, 7685, 543, 12166, 3126, 269, 4746, 19427, 9070, 919, 689, 8273, 3126, 547, 4130, 3126, 267, 1247, 27754, 9070, 919, 519, 824, 1259, 269, 594, 6836, 547, 22945, 519, 2042, 281, 952, 513, 3126, 4780, 2471, 267, 875, 1082, 2474, 616, 2877, 547, 16977, 519, 2040, 1369, 513, 1978, 10892, 286, 1403, 513, 3126, 11651, 2471, 267, 543, 519, 3126, 814, 2318, 2474, 267, 875, 666, 649, 1118, 513, 9864, 2040, 8273, 982, 930, 8655, 1297, 286, 634, 2553, 616, 1586, 547, 5635, 609, 513, 12166, 3126, 610, 606, 16789, 7533, 267, 543, 3196, 519, 12808, 2766, 540, 519, 3126, 547, 581, 1507, 610, 513, 9864, 2040, 547, 581, 1804, 780, 5415, 14182, 2439, 2162, 11728, 267, 5239, 476, 4029, 692, 3725, 701, 908, 4429, 763, 14357, 5206, 519, 8847, 540, 454, 1892, 634, 4214, 540, 12808, 3126, 454, 1892, 634, 1219, 842, 542, 540, 9864, 18304, 540, 606, 12808, 3126, 454, 1892, 634, 4214, 540, 19427, 540, 606, 12808, 3126, 454, 1892, 6201, 454, 272, 269, 2983, 6248, 3126, 609, 1101, 2165, 476, 272, 543, 5223, 476, 272, 270, 273, 454, 273, 269, 15053, 4577, 3126, 454, 288, 19427, 1249, 454, 2252, 513, 3126, 4780, 2471, 267, 1287, 922, 32671, 2165, 1590, 1935, 476, 271, 607, 562, 734, 285, 8882, 6541, 269, 901, 568, 1317, 519, 32671, 2165, 568, 519, 3017, 540, 519, 32671, 543, 630, 333, 266, 272, 264, 560, 9864, 18304, 630, 921, 848, 1294, 519, 1257, 1040, 18564, 602, 519, 598, 2091, 568, 7301, 630, 1492, 23191, 3126, 2982, 713, 1040, 4746, 4063, 519, 15333, 27168, 568, 3020, 630, 663, 25401, 6697, 547, 519, 3312, 3948, 281, 15475, 606, 568, 519, 32671, 2165, 540, 513, 3126, 269, 1403, 1929, 333, 734, 285, 8882, 6541, 534, 1281, 711, 2291, 610, 952, 621, 6818, 543, 568, 711, 476, 271, 267, 1287, 519, 3126, 1281, 711, 27721, 780, 19868, 545, 543, 9266, 1913, 454, 13750, 906, 540, 519, 1106, 267, 834, 9281, 623, 8946, 2894, 1627, 257, 616, 1572, 6286, 269, 623, 568, 4749, 1572, 519, 19165, 610, 24970, 1027, 550, 267, 543, 1627, 568, 1572, 519, 3932, 610, 3702, 550, 269, 4033, 1644, 7215, 616, 912, 9281, 1627, 8946, 2894, 623, 269, 901, 568, 1572, 519, 598, 2091, 563, 9281, 2715, 2254, 1627, 348, 8946, 2894, 2715, 2254, 623, 20467, 901, 568, 1572, 519, 15333, 27168, 563, 9281, 630, 2254, 623, 264, 8946, 2894, 630, 2254, 1627, 1040, 901, 568, 1572, 519, 11201, 563, 7078, 692, 1892, 22731, 29943, 281, 1403, 14918, 616, 3039, 267, 1287, 594, 666, 8038, 269, 1924, 834, 303, 257, 568, 834, 335, 12127, 616, 3039, 257, 543, 834, 304, 257, 568, 834, 296, 666, 8038, 4799, 1892, 1230, 2091, 281, 1403, 594, 666, 8038, 267, 1287, 14918, 616, 3039, 563, 1892, 2552, 571, 27168, 281, 1403, 594, 666, 1405, 8038, 267, 1287, 14918, 5749, 1405, 3039, 563, 1892, 769, 2091, 281, 1403, 14918, 5749, 1405, 3039, 267, 1287, 594, 666, 1405, 8038, 563, 763, 5168, 1871, 540, 606, 29943, 568, 2141, 519, 1482, 607, 922, 15333, 27168, 269, 634, 5168, 1871, 540, 519, 598, 2091, 543, 519, 11201, 616, 2141, 519, 1482, 269, 634, 5168, 1871, 540, 606, 29943, 543, 922, 598, 2091, 949, 581, 1114, 563, 14300, 454, 763, 9266, 7122, 1934, 568, 519, 1483, 2338, 563, 1892, 1955, 6473, 543, 598, 2091, 1312, 3020, 454, 3412, 6473, 281, 1403, 1535, 274, 568, 513, 2318, 1483, 1297, 267, 1287, 1535, 568, 513, 2318, 1483, 1297, 563, 3519, 2091, 281, 1403, 1535, 568, 513, 2318, 1483, 1297, 267, 1287, 1535, 274, 568, 513, 2318, 1483, 1297, 563, 6944, 571, 27168, 281, 1403, 1535, 568, 711, 513, 2318, 1483, 1297, 267, 1287, 1535, 274, 568, 711, 513, 2318, 1483, 1297, 269, 901, 568, 3020, 267, 543, 814, 519, 1482, 9266, 834, 20880, 257, 607, 519, 3312, 29943, 630, 24392, 547, 803, 621, 568, 811, 2352, 547, 1174, 256, 1916, 1892, 1955, 6473, 3020, 543, 598, 2091, 7301, 454, 3412, 6473, 281, 1403, 1535, 568, 606, 8870, 267, 1287, 1535, 568, 513, 1483, 1297, 563, 3519, 2091, 281, 1403, 1535, 568, 513, 1483, 1297, 267, 1287, 1535, 568, 606, 8870, 563, 6944, 571, 27168, 281, 1403, 1535, 568, 711, 513, 1483, 1297, 267, 1287, 1535, 568, 711, 606, 8870, 269, 4746, 3020, 780, 763, 7954, 540, 3126, 3006, 568, 2864, 834, 13512, 626, 344, 257, 543, 621, 949, 3006, 581, 3730, 547, 2015, 519, 18631, 1806, 2439, 14197, 12166, 3126, 454, 296, 1336, 513, 4542, 585, 513, 266, 541, 266, 541, 273, 266, 1862, 541, 298, 267, 519, 918, 628, 9864, 2040, 269, 594, 1589, 621, 729, 630, 320, 268, 541, 298, 266, 272, 19422, 272, 8573, 1040, 4475, 952, 918, 734, 285, 8882, 6541, 267, 543, 1923, 337, 347, 283, 272, 267, 649, 1205, 19427, 952, 1923, 337, 347, 283, 272, 269, 634, 2040, 568, 513, 14370, 272, 8573, 264, 952, 519, 1101, 2165, 568, 513, 780, 18204, 1537, 1449, 454, 2252, 535, 3287, 264, 568, 513, 2318, 13302, 1599, 267, 1287, 519, 3126, 590, 9331, 333, 284, 272, 8882, 6541, 325, 3799, 264, 543, 519, 16789, 7533, 9170, 8882, 6541, 325, 3287, 264, 1109, 11459, 1312, 27721, 543, 11651, 613, 1927, 780, 9827, 267, 519, 19027, 540, 713, 3948, 2488, 513, 1259, 540, 3478, 630, 574, 2181, 322, 1047, 14386, 10230, 9193, 540, 21217, 543, 9864, 18304, 780, 272, 269, 7151, 540, 19427, 912, 306, 9331, 333, 284, 272, 8882, 6541, 272, 14672, 275, 454, 273, 269, 7151, 540, 27754, 912, 306, 9331, 333, 284, 272, 8882, 6541, 272, 14672, 272, 270, 275, 692, 14197, 533, 1606, 7685, 281, 590, 9331, 333, 284, 272, 8882, 6541, 272, 270, 12639, 454, 3519, 591, 10885, 585, 533, 285, 272, 267, 27754, 6382, 780, 301, 10179, 673, 1806, 692, 272, 269, 4855, 513, 9864, 2040, 540, 590, 9331, 333, 284, 272, 8882, 6541, 272, 14672, 275, 799, 568, 1369, 476, 1015, 268, 736, 540, 519, 2040, 540, 519, 2898, 3126, 454, 273, 269, 4855, 513, 9864, 2040, 540, 590, 9331, 333, 284, 272, 8882, 6541, 272, 14672, 272, 270, 275, 799, 568, 3152, 982, 476, 1911, 563, 21008, 2581, 2553, 454, 2171, 2808, 590, 9331, 333, 284, 272, 8882, 6541, 272, 270, 314, 274, 333, 266, 6912, 3799, 264, 4940, 6496, 713, 3126, 27721, 286, 594, 917, 621, 568, 1447, 982, 590, 9331, 333, 284, 272, 8882, 6541, 272, 270, 314, 6912, 3799, 13580, 855, 713, 568, 10691, 670, 5085, 303, 293, 8085, 269, 1284, 991, 547, 1205, 519, 3126, 2165, 3772, 1447, 982, 513, 4780, 7217, 3126, 538, 1931, 547, 917, 602, 621, 4780, 2471, 267, 610, 649, 991, 547, 1205, 621, 2165, 3772, 3152, 982, 513, 28836, 3126, 538, 1931, 547, 917, 602, 621, 11651, 7970, 269, 1924, 649, 4503, 1344, 676, 9236, 609, 513, 3126, 4171, 2474, 616, 476, 272, 4882, 5720, 3799, 1040, 1809, 649, 1223, 5635, 621, 609, 513, 3126, 4171, 2474, 616, 476, 272, 270, 274, 333, 269, 901, 568, 513, 12166, 3126, 609, 5223, 476, 272, 270, 274, 267, 799, 568, 6157, 1447, 982, 476, 272, 269, 1924, 2094, 938, 3126, 568, 2165, 3772, 1447, 982, 513, 4780, 7217, 3126, 267, 621, 1590, 849, 27721, 780, 296, 849, 4280, 267, 1018, 918, 1058, 835, 1491, 547, 581, 2386, 602, 519, 918, 628, 9864, 2040, 267, 590, 9331, 333, 284, 272, 298, 272, 270, 314, 274, 333, 266, 6912, 3799, 13580, 568, 1369, 267, 2161, 267, 476, 1015, 268, 276, 540, 519, 2898, 2040, 286, 4270, 267, 519, 2766, 267, 1018, 649, 2811, 6028, 856, 267, 568, 1175, 590, 9331, 333, 284, 298, 266, 272, 8882, 6541, 272, 270, 314, 274, 333, 266, 6912, 3799, 264, 4940, 901, 568, 2165, 3772, 1447, 982, 519, 3126, 590, 9331, 333, 284, 298, 266, 272, 8882, 6541, 272, 270, 274, 333, 267, 513, 4780, 7217, 3126, 4171, 2040, 568, 630, 320, 284, 272, 270, 274, 298, 266, 272, 543, 678, 284, 272, 270, 274, 865, 476, 272, 8573, 284, 273, 270, 274, 264, 513, 14370, 272, 8573, 6661, 263, 272, 270, 273, 264, 274, 11860, 269, 589, 2370, 17634, 2982, 602, 713, 568, 4386, 950, 918, 693, 2547, 476, 1015, 269, 4475, 594, 914, 692, 3499, 285, 1039, 263, 272, 14370, 274, 18898, 266, 6912, 3799, 24270, 333, 284, 272, 907, 1015, 11850, 5952, 277, 2004, 278, 11434, 476, 272, 19930, 476, 272, 19930, 476, 272, 2018, 476, 272, 17264, 476, 272, 23526, 476, 272, 454, 9339, 268, 1341, 28612, 1341, 28612, 268, 1341, 28612, 734, 1341, 28612, 734, 1341, 28612, 19203, 1341, 28612, 955, 8894, 30444, 4281, 278, 277, 1038, 476, 272, 270, 273, 1363, 476, 272, 270, 273, 16875, 476, 272, 270, 273, 16875, 476, 272, 270, 273, 19930, 476, 272, 270, 273, 17264, 476, 272, 270, 273, 454, 280, 1341, 476, 273, 8587, 476, 2767, 1341, 476, 274, 8587, 476, 25838, 1341, 476, 276, 8587, 476, 278, 3066, 1341, 476, 277, 8587, 476, 25908, 278, 1341, 476, 278, 8587, 476, 4792, 277, 272, 1341, 476, 273, 476, 273, 692, 272, 454, 266, 28612, 955, 8894, 272, 270, 273, 454, 276, 3445, 5392, 1341, 476, 1015, 692, 285, 859, 2788, 263, 8472, 3248, 271, 269, 4375, 279, 4200, 277, 6507, 273, 275, 8199, 7474, 267, 547, 2947, 8918, 4025, 267, 519, 2040, 568, 1547, 4375, 279, 4200, 563, 763, 476, 736, 628, 9864, 2040, 568, 2965, 476, 271, 269, 274, 4200, 22650, 26839, 278, 267, 865, 6148, 649, 616, 2953, 269, 630, 3383, 621, 3884, 1405, 4977, 547, 2947, 8918, 4025, 267, 855, 621, 568, 4977, 547, 476, 1015, 268, 276, 256, 2020, 2162, 4144, 776, 7127, 538, 3356, 256, 2859, 547, 2097, 692, 295, 6865, 11246, 3036, 298, 454, 8923, 1224, 593, 538, 3848, 476, 1556, 269, 3371, 616, 4773, 540, 519, 476, 13923, 21038, 799, 594, 9364, 899, 596, 547, 1413, 693, 267, 543, 594, 4126, 602, 6004, 269, 2480, 515, 514, 6199, 786, 581, 2111, 547, 2626, 2055, 827, 873, 593, 13628, 780, 14938, 1878, 267, 3126, 476, 1556, 269, 272, 281, 476, 273, 267, 476, 276, 267, 476, 277, 267, 476, 1321, 267, 476, 1724, 267, 476, 1428, 267, 476, 1240, 267, 476, 2641, 267, 476, 2918, 267, 476, 3953, 267, 476, 4097, 267, 476, 3393, 267, 476, 5379, 267, 476, 8618, 267, 5038, 476, 1556, 269, 273, 281, 476, 1556, 267, 476, 1691, 267, 476, 1704, 267, 476, 1240, 267, 476, 2641, 267, 476, 2420, 267, 476, 2767, 267, 476, 4343, 267, 476, 6078, 267, 476, 4510, 267, 476, 5392, 6715, 1537, 4255, 267, 9193, 476, 1556, 269, 274, 281, 476, 274, 267, 476, 278, 267, 476, 280, 267, 476, 1724, 267, 476, 1626, 267, 476, 2641, 267, 476, 2764, 267, 476, 4029, 267, 476, 4097, 692, 305, 919, 540, 2208, 267, 538, 13140, 267, 593, 3618, 267, 543, 2630, 454, 15703, 1053, 5206, 547, 803, 811, 610, 1447, 6998, 827, 3928, 540, 2208, 540, 3252, 269, 3371, 568, 606, 21626, 689, 1250, 3210, 267, 10169, 28031, 5652, 267, 540, 1576, 267, 855, 849, 3978, 780, 7052, 20330, 296, 1589, 20932, 568, 5393, 3730, 269, 898, 568, 849, 1945, 602, 666, 581, 5483, 543, 4824, 269, 4107, 1004, 945, 1353, 519, 2623, 540, 3252, 543, 875, 789, 1332, 4440, 723, 20932, 4990, 540, 899, 713, 630, 663, 594, 3513, 2253, 609, 513, 25064, 14165, 1101, 17107, 763, 1158, 568, 1500, 909, 540, 513, 15796, 630, 4944, 2454, 24047, 540, 1629, 976, 543, 3425, 543, 23109 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1103, 519, 3803, 3888, 618, 540, 713, 1614, 12268, 3126, 267, 14776, 4274, 11518, 9445, 5403, 11828, 519, 12583, 3297, 519, 28834, 4015, 454, 4692, 596, 4766, 519, 14776, 4015, 693, 28834, 781, 7849, 3778, 7467, 888, 2467, 781, 4440, 1100, 824, 1747, 835, 1223, 979, 543, 1294, 593, 1857, 4159, 513, 811, 4277, 4015, 540, 19987, 269, 634, 16593, 4991, 513, 2603, 540, 3007, 267, 855, 649, 723, 930, 824, 2731, 4277, 19987, 538, 938, 4015, 563, 23536, 2406, 519, 14776, 602, 1131, 581, 938, 5182, 267, 952, 711, 585, 519, 16593, 267, 568, 1776, 4544, 14776, 1572, 519, 9791, 9839, 269, 898, 568, 519, 1158, 781, 2034, 4102, 543, 20923, 4158, 15918, 826, 14776, 543, 22179, 476, 1789, 269, 7830, 1286, 1846, 267, 827, 1079, 22188, 519, 2450, 540, 519, 16593, 27339, 269, 898, 729, 1336, 538, 519, 2776, 14741, 699, 17719, 538, 3162, 4000, 538, 5437, 476, 5002, 279, 269, 2060, 519, 948, 540, 1546, 6826, 619, 267, 649, 4682, 883, 519, 21517, 543, 649, 941, 2111, 547, 1265, 519, 2594, 540, 950, 621, 729, 1336, 269, 634, 11315, 14776, 729, 827, 476, 9083, 1286, 1846, 610, 865, 269, 6168, 513, 1032, 1310, 621, 729, 1336, 267, 621, 729, 2759, 543, 5555, 4421, 547, 606, 14861, 710, 534, 1920, 676, 519, 2012, 540, 1133, 345, 826, 269, 898, 18423, 538, 602, 1920, 2394, 519, 476, 4198, 271, 338, 267, 1287, 729, 11751, 543, 4421, 1896, 2053, 269, 7053, 267, 621, 729, 1305, 883, 513, 8258, 676, 16452, 12736, 8725, 945, 4421, 621, 547, 3057, 329, 12929, 8585, 686, 933, 1430, 5403, 269, 2701, 5795, 621, 547, 519, 28834, 538, 519, 476, 3422, 271, 338, 269, 898, 781, 513, 4190, 2295, 11057, 6149, 543, 2640, 689, 513, 811, 2413, 2759, 982, 519, 16593, 269, 898, 781, 4440, 519, 1158, 781, 840, 1777, 5006, 4544, 14776, 563, 8489, 666, 8436, 1294, 519, 9791, 9839, 27339, 888, 2005, 781, 10268, 609, 1896, 824, 19987, 269, 1703, 781, 1100, 824, 1747, 594, 917, 540, 538, 519, 1158, 602, 596, 666, 1294, 513, 1804, 4544, 14776, 593, 1857, 4159, 267, 1454, 1447, 1294, 1079, 269, 1284, 4755, 547, 723, 519, 1079, 4102, 267, 20923, 4544, 19987, 538, 519, 1158, 563, 307, 749, 803, 827, 519, 14082, 27339, 563, 2171, 849, 723, 519, 4102, 1795, 9643, 14776, 538, 938, 4015, 281, 476, 14096, 269, 4905, 1286, 1846, 269, 2311, 602, 2450, 267, 602, 1547, 4905, 3587, 1271, 269, 898, 568, 513, 6149, 602, 19890, 814, 519, 2012, 968, 763, 14082, 27339, 1848, 2334, 2012, 729, 2016, 547, 621, 676, 16452, 12736, 8725, 269, 1284, 9715, 602, 14776, 689, 16452, 12736, 8725, 676, 27300, 513, 19619, 540, 4130, 2759, 19987, 585, 602, 835, 3677, 6149, 269, 1261, 838, 684, 513, 1650, 827, 713, 14776, 2348, 2097, 856, 540, 8478, 543, 1185, 1044, 11262, 676, 519, 14082, 10424, 1920, 267, 8754, 519, 2012, 14082, 27339, 269, 4270, 267, 538, 1249, 267, 649, 917, 1631, 602, 713, 14776, 814, 2760, 1044, 547, 17577, 267, 814, 2760, 1044, 547, 8478, 267, 855, 538, 1249, 3357, 856, 540, 3162, 4000, 267, 856, 540, 519, 2776, 14741, 699, 17719, 269, 898, 729, 24776, 827, 476, 4489, 271, 563, 8005, 11262, 519, 14776, 888, 2005, 729, 4421, 547, 513, 4807, 3957, 623, 1122, 4445, 22846, 20717, 576, 267, 835, 540, 519, 2098, 20672, 7615, 674, 3326, 625, 6690, 538, 519, 476, 4572, 271, 338, 269, 2290, 540, 519, 1350, 600, 712, 6690, 269, 2701, 5206, 513, 4241, 26249, 269, 2701, 6811, 547, 723, 1044, 7722, 547, 693, 2547, 476, 2004, 1114, 2367, 538, 1200, 1272, 269, 3057, 3072, 1896, 2053, 269, 2986, 1576, 267, 602, 781, 875, 596, 1628, 513, 1390, 17576, 4015, 281, 3057, 787, 1134, 267, 19533, 1419, 269, 2701, 1705, 602, 269, 2701, 1185, 713, 1804, 14776, 11751, 585, 1200, 269, 1284, 723, 513, 4605, 540, 1200, 9849, 621, 538, 513, 31091, 669, 20269, 563, 2026, 1200, 5182, 3459, 547, 1305, 543, 1352, 2968, 1447, 540, 519, 1350, 600, 712, 8004, 267, 1352, 5555, 4421, 519, 14776, 547, 16452, 12736, 8725, 269, 594, 7058, 646, 2901, 29709, 610, 4956, 602, 2348, 513, 14776, 602, 2899, 20705, 547, 513, 18233, 5346, 2098, 20672, 7615, 674, 3326, 625, 8004, 7012, 1405, 5176, 607, 3078, 607, 835, 602, 20705, 547, 519, 14082, 10424, 1920, 269, 1261, 2813, 513, 1007, 1686, 585, 602, 14776, 543, 602, 781, 875, 621, 2968, 1634, 563, 7617, 568, 707, 5172, 14776, 888, 23536, 2406, 1250, 5172, 14776, 538, 519, 4015, 267, 538, 930, 2081, 267, 568, 519, 11534, 523, 10773, 27339, 269, 898, 781, 476, 22724, 1286, 1846, 269, 898, 781, 513, 4190, 12354, 320, 28353, 267, 519, 3337, 602, 1034, 2067, 19987, 616, 1336, 538, 519, 3047, 269, 898, 781, 835, 540, 519, 1390, 14848, 269, 1703, 949, 723, 1044, 824, 14848, 1336, 267, 855, 789, 4312, 1044, 2759, 883, 14776, 17576, 18429, 269, 1924, 585, 519, 1857, 547, 1294, 713, 4190, 12627, 713, 2450, 568, 513, 2189, 4316, 269, 898, 814, 930, 4277, 1686, 1932, 269, 634, 14776, 729, 1336, 538, 519, 667, 19513, 1080, 3966, 9553, 538, 13690, 828, 569, 267, 3162, 4000, 267, 538, 519, 2038, 476, 3422, 271, 338, 269, 6168, 602, 942, 267, 16452, 12736, 8725, 543, 1546, 6826, 619, 267, 799, 729, 2196, 676, 11184, 2423, 333, 652, 11534, 523, 10773, 543, 519, 11534, 523, 10773, 1920, 267, 941, 2348, 513, 3787, 540, 513, 9991, 856, 269, 12736, 8725, 729, 3843, 547, 798, 513, 3787, 540, 606, 1439, 2196, 1472, 1546, 6826, 619, 269, 1261, 4941, 547, 979, 856, 543, 4444, 1010, 1378, 19987, 543, 711, 547, 723, 547, 2141, 798, 621, 998, 1546, 6826, 619, 543, 519, 3652, 789, 9598, 730, 269, 1924, 789, 1185, 513, 3787, 540, 513, 512, 858, 267, 855, 6368, 941, 2111, 547, 2097, 547, 606, 6876, 269, 3487, 540, 519, 1818, 909, 1184, 729, 16452, 12736, 8725, 9140, 713, 14776, 12627, 689, 1546, 6826, 619, 267, 1810, 908, 621, 547, 519, 28834, 543, 20803, 621, 519, 11534, 523, 10773, 27339, 563, 1432, 827, 519, 15117, 6874, 4920, 9366, 531, 27339, 888, 2005, 781, 513, 4190, 13084, 27158, 23469, 14776, 602, 729, 1336, 538, 519, 3690, 9366, 531, 1858, 540, 3162, 4000, 538, 476, 4198, 272, 269, 769, 476, 4198, 273, 267, 621, 849, 5182, 1042, 538, 513, 21035, 4670, 269, 1403, 596, 2811, 513, 10178, 540, 519, 3735, 5991, 697, 20579, 345, 534, 4670, 15976, 267, 596, 1522, 2196, 2066, 519, 7260, 28069, 269, 898, 781, 1572, 20579, 345, 534, 781, 14205, 720, 674, 1722, 269, 2334, 7260, 5182, 1042, 22858, 31661, 518, 607, 20579, 345, 534, 543, 16910, 18333, 19134, 607, 13191, 267, 543, 952, 596, 4585, 519, 3003, 7260, 547, 519, 1360, 1439, 267, 547, 519, 2063, 8792, 540, 519, 7260, 267, 596, 3513, 1294, 16910, 18333, 19134, 9849, 602, 14776, 269, 1358, 941, 267, 540, 1576, 267, 6725, 519, 14776, 1256, 1287, 269, 1548, 1732, 1259, 547, 1205, 519, 1857, 547, 1205, 547, 917, 513, 14776, 982, 547, 1205, 621, 538, 513, 21035, 4670, 269, 634, 14776, 14612, 1472, 519, 2197, 585, 513, 1297, 540, 1296, 607, 519, 3690, 9366, 531, 27339, 269, 898, 729, 12349, 543, 1287, 24603, 547, 721, 676, 15182, 731, 543, 15117, 12070, 330, 8657, 269, 1261, 729, 513, 16025, 3046, 517, 538, 519, 32720, 851, 540, 519, 2136, 2276, 269, 1261, 3773, 1010, 7385, 781, 2012, 267, 865, 519, 14776, 3357, 1934, 607, 519, 15117, 6874, 4920, 9366, 531, 27339, 563, 296, 1058, 2446, 513, 7008, 1866, 269, 1284, 723, 513, 4190, 11909, 14776, 689, 519, 5261, 5459, 9553, 538, 25157, 602, 568, 1175, 896, 1614, 1286, 1846, 269, 3502, 513, 2462, 14776, 267, 855, 513, 2731, 7920, 11909, 269, 2334, 729, 519, 6149, 2016, 547, 721, 676, 28788, 2284, 632, 8479, 267, 513, 13049, 518, 538, 11785, 269, 769, 1249, 267, 646, 849, 5795, 721, 1776, 11954, 14776, 267, 827, 513, 2947, 21307, 520, 2699, 14776, 269, 898, 781, 4990, 540, 513, 6095, 6339, 268, 1042, 2681, 267, 513, 1360, 2620, 2681, 269, 21452, 267, 621, 781, 513, 6149, 602, 646, 6854, 585, 1082, 1296, 1317, 621, 3357, 883, 1010, 10661, 607, 851, 540, 606, 10040, 9042, 269, 898, 729, 13042, 607, 513, 6095, 6339, 11058, 8930, 269, 1261, 8068, 602, 519, 865, 10777, 6095, 6339, 1175, 4769, 1405, 1413, 3833, 899, 513, 6095, 6339, 269, 1280, 606, 2025, 6149, 267, 621, 729, 26526, 2973, 543, 7012, 1405, 29565, 3481, 909, 269, 1879, 646, 1185, 621, 13761, 267, 621, 5828, 856, 621, 729, 513, 14776, 269, 898, 781, 513, 1360, 8966, 2681, 585, 513, 14776, 543, 6157, 835, 540, 602, 2450, 269, 1924, 602, 729, 513, 10516, 602, 646, 5795, 547, 721, 269, 1284, 723, 519, 11909, 543, 519, 2699, 14776, 9361, 2427, 676, 2427, 538, 938, 14266, 563, 2171, 849, 723, 513, 7008, 540, 824, 19987, 602, 3357, 689, 3057, 329, 12929, 8585, 686, 933, 1430, 5403, 267, 1519, 513, 8799, 1804, 2261, 638, 529, 267, 827, 513, 476, 2767, 21307, 520, 6149, 269, 1284, 849, 723, 513, 1804, 476, 4391, 21307, 520, 26256, 659, 23469, 14776, 602, 3357, 607, 513, 581, 26810, 689, 8644, 29560, 28239, 344, 16399, 563, 4517, 1287, 649, 723, 513, 8799, 24194, 540, 4190, 5835, 19987, 602, 941, 2016, 547, 721, 676, 3967, 564, 7788, 28086, 670, 809, 518, 543, 979, 676, 519, 4277, 2012, 540, 519, 670, 809, 518, 18924, 4637, 269, 1452, 941, 1305, 676, 14295, 1512, 538, 519, 3735, 476, 2735, 271, 338, 267, 865, 789, 2099, 513, 811, 2413, 4062, 540, 14446, 269, 634, 8405, 331, 864, 4805, 814, 827, 476, 13301, 1286, 1846, 540, 5835, 19987, 269, 3962, 1274, 2590, 814, 513, 476, 1839, 21307, 520, 5835, 14776, 267, 543, 1287, 972, 781, 513, 8258, 609, 513, 476, 8618, 21307, 520, 5835, 14776, 269, 898, 781, 513, 2731, 11141, 4159, 540, 4190, 10007, 563, 4692, 596, 1865, 519, 19167, 27339, 3026, 1188, 331, 864, 888, 301, 777, 1961, 517, 5795, 519, 8405, 331, 864, 547, 519, 5927, 816, 21322, 6441, 537, 1047, 547, 8661, 519, 4332, 540, 741, 5067, 269, 1411, 949, 11291, 602, 19167, 32682, 1027, 9478, 710, 267, 519, 2648, 540, 1010, 1272, 267, 1317, 1352, 7948, 1405, 1683, 1864, 609, 606, 25752, 269, 1261, 1287, 9310, 21322, 6441, 537, 1047, 689, 519, 670, 2355, 7921, 1920, 538, 15212, 543, 1369, 513, 1032, 1310, 741, 16806, 1352, 3177, 1864, 609, 513, 5067, 269, 1261, 729, 865, 9599, 827, 602, 646, 1185, 713, 1390, 14776, 8405, 331, 864, 20827, 563, 4263, 519, 942, 621, 729, 1500, 1765, 12671, 476, 8687, 272, 267, 476, 8687, 273, 1765, 323, 3554, 4637, 1185, 711, 2943, 1044, 4362, 538, 3162, 4000, 269, 634, 2101, 2707, 540, 19987, 729, 1869, 10169, 538, 3127, 267, 855, 6140, 8478, 543, 27816, 269, 1924, 972, 1175, 14201, 1405, 602, 1082, 1804, 19987, 4947, 856, 693, 602, 1448, 269, 1703, 616, 513, 2698, 540, 827, 476, 18605, 1286, 1846, 4502, 540, 19987, 538, 713, 8405, 331, 864, 269, 634, 3677, 10007, 616, 827, 476, 1556, 610, 476, 1321, 1286, 1846, 538, 2450, 269, 1677, 723, 513, 8405, 331, 864, 609, 602, 1082, 1804, 19987, 1131, 1175, 530, 578, 519, 1857, 693, 602, 942, 269, 898, 781, 1945, 602, 1152, 513, 1268, 602, 729, 1360, 14547, 543, 1360, 3532, 1223, 723, 1500, 585, 873, 269, 1924, 267, 540, 1576, 267, 602, 781, 4010, 1946, 646, 1131, 798, 621, 269, 1677, 1397, 519, 1158, 875, 1271, 267, 875, 14547, 267, 875, 3532, 513, 812, 646, 729, 269, 1924, 646, 1185, 713, 4190, 8405, 331, 864, 2016, 547, 1200, 269, 769, 1249, 267, 972, 781, 513, 7206, 602, 13793, 338, 538, 12411, 320, 14792, 538, 5333, 6029, 1200, 9849, 713, 8405, 331, 864, 269, 898, 781, 513, 1360, 1134, 1673, 29545, 267, 1360, 4190, 8978, 8405, 331, 864, 269, 2290, 540, 519, 1390, 4773, 540, 602, 942, 1974, 269, 898, 814, 891, 8748, 267, 2025, 9553, 24408, 19987, 269, 1358, 22821, 1405, 3323, 5969, 19987, 2687, 547, 519, 2413, 17114, 2943, 269, 769, 1082, 2081, 267, 972, 781, 513, 1978, 4482, 4369, 827, 1346, 10007, 596, 666, 1294, 538, 602, 4062, 540, 14446, 602, 596, 1175, 1810, 1405, 1294, 538, 2413, 10007, 563, 1432, 5949, 547, 519, 19167, 27339, 3026, 1188, 331, 864, 888, 11321, 773, 6441, 537, 1047, 4682, 1394, 547, 15212, 543, 519, 8405, 331, 864, 729, 5293 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16942, 6870, 316, 0, 763, 4773, 1369, 713, 1895, 540, 960, 616, 538, 5698, 609, 20822, 5159, 269, 1452, 1762, 5159, 4043, 547, 1491, 513, 7801, 6656, 547, 1780, 942, 267, 2769, 2933, 267, 610, 14867, 2566, 2901, 1354, 610, 1310, 741, 1153, 1554, 269, 10705, 2053, 267, 891, 4773, 616, 2451, 4652, 31944, 607, 789, 1616, 547, 798, 1945, 1007, 610, 741, 942, 568, 909, 269, 1452, 4652, 31944, 26620, 616, 26203, 543, 3769, 538, 713, 1560, 540, 960, 547, 2097, 909, 609, 513, 1007, 5137, 543, 3483, 585, 741, 4773, 269, 28527, 689, 519, 2950, 540, 17659, 2917, 543, 25816, 2548, 3534, 529, 13325, 267, 1452, 2241, 7801, 9212, 602, 941, 2451, 3297, 543, 16618, 827, 676, 10026, 1153, 1053, 948, 547, 18663, 519, 6278, 540, 2104, 1053, 883, 519, 6575, 563, 7437, 519, 1646, 1369, 6689, 543, 2069, 267, 972, 616, 1978, 3344, 540, 1374, 602, 616, 3362, 25992, 269, 3245, 513, 1762, 2085, 513, 1126, 666, 1448, 856, 5546, 543, 4778, 602, 789, 1294, 269, 4634, 607, 789, 3136, 883, 18273, 267, 2523, 607, 789, 1332, 543, 1711, 1007, 1919, 269, 3143, 2339, 1018, 267, 891, 2609, 616, 2141, 972, 269, 901, 1560, 540, 960, 6212, 593, 891, 2609, 607, 519, 1641, 2339, 568, 4628, 7493, 543, 519, 1353, 540, 3337, 543, 2681, 616, 11342, 269, 634, 8471, 543, 2189, 2833, 540, 519, 21951, 547, 606, 7493, 4062, 1711, 513, 2631, 540, 23141, 269, 570, 1941, 1957, 2337, 547, 4159, 513, 2631, 540, 538, 1260, 921, 28467, 602, 4564, 2069, 269, 6884, 519, 3450, 2501, 689, 519, 1053, 538, 707, 1362, 267, 610, 513, 21927, 602, 16858, 547, 2671, 741, 2833, 609, 596, 269, 1306, 804, 747, 2946, 607, 621, 4992, 267, 596, 1451, 1945, 1007, 1169, 1554, 269, 0, 4811, 4785, 26980, 7246, 267, 18491, 30245, 2443, 589, 2407, 8397, 556, 268, 21551, 540, 513, 8277, 517, 26280, 338, 1231, 320, 6928, 267, 799, 8385, 5645, 900, 1170, 2456, 689, 519, 11114, 18686, 547, 543, 689, 3567, 1282, 519, 3798, 334, 1974, 630, 8182, 274, 268, 5908, 278, 1070, 568, 16516, 547, 546, 1442, 693, 513, 2823, 593, 17578, 2313, 9874, 6816, 267, 18491, 30245, 2776, 2739, 675, 267, 538, 4864, 585, 519, 1101, 942, 563, 763, 6928, 729, 7620, 9277, 547, 12446, 693, 519, 2823, 538, 519, 4832, 540, 476, 1001, 280, 855, 729, 666, 576, 1194, 1813, 547, 519, 14016, 908, 2078, 1063, 3567, 543, 3162, 9705, 269, 1763, 6342, 540, 17578, 2313, 9874, 4126, 602, 519, 10935, 779, 12625, 786, 7794, 13218, 1063, 519, 1079, 2477, 1310, 20408, 11315, 7297, 563, 763, 8277, 517, 26280, 338, 1231, 320, 267, 610, 932, 4923, 17578, 2313, 1231, 6062, 538, 5545, 267, 941, 20320, 13485, 771, 6312, 3481, 547, 3567, 676, 519, 8277, 517, 19092, 267, 799, 16768, 593, 519, 11114, 18686, 585, 827, 476, 4335, 1296, 689, 519, 476, 1691, 628, 2540, 269, 19475, 540, 519, 13485, 4266, 1394, 547, 519, 476, 1428, 628, 2540, 1282, 519, 12891, 1731, 15676, 1744, 690, 684, 622, 269, 634, 13485, 941, 17303, 17735, 538, 519, 476, 1626, 628, 2540, 1310, 3567, 2366, 10136, 547, 28117, 519, 11114, 18686, 267, 855, 789, 941, 759, 25390, 547, 11177, 24845, 13218, 1310, 519, 15480, 1872, 11867, 1744, 690, 684, 622, 4371, 1379, 563, 763, 11114, 15913, 771, 6312, 3481, 513, 2698, 540, 476, 1321, 15518, 725, 585, 1585, 14026, 267, 1519, 14120, 519, 1569, 542, 540, 1007, 695, 690, 684, 267, 1063, 476, 8182, 278, 543, 476, 8687, 272, 269, 24547, 11703, 6054, 543, 2951, 5638, 538, 3567, 543, 3162, 9705, 941, 3773, 547, 519, 15350, 540, 519, 2622, 19193, 1592, 676, 20648, 538, 476, 1001, 278, 563, 763, 6928, 729, 3710, 538, 3162, 9705, 585, 519, 1101, 942, 538, 827, 476, 1220, 1296, 269, 17214, 5097, 540, 12566, 267, 519, 6077, 3800, 476, 4097, 269, 276, 7397, 1279, 543, 22179, 476, 14983, 9748, 269, 634, 2817, 3194, 4659, 540, 31845, 8836, 11595, 538, 631, 758, 17763, 267, 3162, 9705, 267, 6170, 827, 2185, 1296, 556, 2275, 11661, 519, 6928, 267, 799, 729, 6192, 538, 476, 1001, 279, 543, 1942, 2485, 354, 21076, 269, 279, 2929, 563, 763, 556, 268, 21551, 568, 5497, 547, 6655, 547, 2104, 5481, 519, 1686, 540, 1434, 15884, 23372, 1063, 15231, 2477, 267, 607, 1134, 607, 519, 6928, 20761, 2553, 1031, 538, 1346, 2395, 269, 634, 20576, 5219, 547, 6054, 538, 3162, 9705, 607, 1134, 607, 3567, 267, 1519, 12400, 540, 513, 11114, 900, 1170, 776, 6928, 11262, 676, 519, 590, 15676, 2776, 2739, 1116, 18491, 30377, 16836, 7467, 267, 547, 1628, 519, 6928, 269, 6168, 476, 3583, 1004, 666, 581, 5645, 676, 519, 10935, 267, 799, 568, 1631, 9280, 609, 606, 2599, 563, 4407, 2818, 540, 519, 4357, 5823, 540, 519, 1079, 2477, 941, 5009, 15377, 267, 17578, 2313, 9874, 7264, 1572, 585, 519, 6928, 547, 13743, 547, 519, 2749, 543, 519, 22084, 534, 8836, 7690, 538, 22084, 534, 267, 3162, 9705, 267, 4956, 547, 723, 621, 13743, 538, 4864, 476, 1001, 280, 547, 14626, 728, 609, 519, 17578, 2313, 9874, 594, 345, 7795, 4673, 5800, 16635, 269, 1717, 267, 519, 7552, 729, 666, 576, 1194, 693, 519, 2063, 8792, 563, 763, 3162, 11114, 2229, 267, 3366, 676, 1287, 5518, 9855, 808, 2801, 2987, 267, 729, 5051, 693, 12918, 609, 3567, 693, 519, 942, 1813, 547, 4031, 7057, 1644, 547, 5449, 29053, 1270, 9974, 539, 4600, 689, 519, 11114, 18686, 563, 25629, 2313, 9874, 729, 2417, 4299, 17215, 607, 519, 6855, 3361, 9235, 547, 726, 25128, 269, 769, 476, 1001, 279, 267, 519, 1297, 540, 14666, 547, 17578, 2313, 9874, 689, 3162, 9705, 6825, 513, 2594, 1164, 540, 827, 476, 25148, 267, 1822, 267, 8051, 585, 811, 982, 1614, 6709, 11467, 540, 519, 2698, 1297, 540, 6469, 543, 4914, 8436, 547, 519, 2749, 269, 1717, 267, 519, 4137, 20427, 8593, 538, 476, 1001, 280, 563, 763, 2749, 11124, 2417, 2804, 23434, 585, 827, 1614, 1296, 1310, 3486, 5836, 7542, 787, 3028, 729, 17735, 538, 4989, 476, 1708, 271, 607, 851, 540, 8473, 1852, 3800, 1996, 5046, 268, 866, 563, 1103, 5988, 713, 1032, 267, 519, 5836, 11507, 6368, 556, 641, 2989, 269, 2060, 8473, 1852, 3800, 1373, 552, 1078, 267, 519, 556, 29931, 730, 6928, 568, 1305, 547, 12446, 538, 17578, 2313, 9874, 538, 942, 585, 519, 17578, 2313, 9874, 594, 345, 7795, 4673, 5800, 16635, 267, 799, 568, 16516, 547, 581, 4371, 593, 4119, 269, 476, 276, 268, 277, 563, 6826, 16442, 519, 3375, 568, 519, 6454, 538, 519, 3567, 4149, 1926, 9705, 2078, 609, 519, 759, 18870, 540, 23483, 11564, 676, 519, 3401, 540, 519, 1079, 2477, 1310, 513, 476, 1321, 4458, 554, 9332, 639, 563, 2108, 5591, 2339, 875, 1082, 2053, 649, 7368, 15377, 609, 3162, 11114, 1004, 267, 972, 729, 711, 1454, 649, 1223, 798, 827, 519, 2078, 1063, 519, 1079, 2477, 267, 543, 602, 729, 14922, 532, 2223, 1767, 20673, 8500, 25431, 631, 1846, 889, 4673, 267, 476, 4281, 267, 2212, 540, 519, 700, 807, 2581, 7027, 540, 2353, 23089, 23105, 609, 932, 4923, 17578, 2313, 1231, 6062, 267, 513, 17578, 2313, 9874, 2861, 18758, 3919, 602, 814, 15469, 3567, 4149, 1926, 9705, 15377, 585, 811, 982, 476, 1789, 1296, 269, 968, 3719, 519, 3375, 585, 519, 6928, 1496, 1729, 546, 1442, 538, 17578, 2313, 9874, 316, 568, 1390, 3377, 3034, 10527, 4126, 568, 547, 6655, 519, 4644, 540, 519, 6928, 547, 1762, 1004, 540, 1312, 2477, 267, 3056, 547, 2417, 15377, 2223, 646, 3773, 563, 272, 560, 942, 538, 476, 275, 1296, 454, 1103, 2904, 267, 519, 8277, 517, 26280, 338, 1231, 320, 16635, 729, 4371, 538, 22084, 534, 896, 519, 513, 22273, 1182, 540, 519, 22084, 534, 8836, 7690, 269, 634, 13037, 729, 4371, 1510, 9993, 585, 519, 1101, 942, 538, 2185, 1296, 267, 543, 1004, 941, 2111, 547, 11878, 593, 519, 556, 29931, 730, 900, 1170, 776, 10935, 269, 4053, 5974, 849, 5129, 12563, 2575, 593, 4604, 563, 4263, 519, 17578, 2313, 9874, 594, 345, 7795, 4673, 5800, 16635, 267, 606, 900, 1170, 776, 1184, 542, 568, 1305, 547, 16056, 585, 519, 1101, 942, 2094, 519, 1376, 540, 519, 6855, 269, 4438, 519, 1184, 542, 267, 1312, 5545, 543, 3162, 11114, 1004, 786, 31959, 998, 519, 2749, 1247, 9849, 2757, 7802, 269, 1763, 6342, 540, 2901, 2197, 786, 581, 2111, 547, 4604, 519, 6077, 1247, 621, 568, 546, 18088, 693, 519, 2823, 563, 14071, 2461, 3168, 4464, 547, 22205, 519, 6928, 1496, 15290, 621, 2703, 802, 693, 2823, 316, 2223, 1767, 570, 1846, 340, 5984, 590, 30245, 267, 476, 5655, 267, 28579, 540, 606, 7681, 547, 8956, 11114, 900, 1170, 2456, 269, 968, 2171, 4126, 621, 786, 1831, 606, 4316, 585, 519, 3567, 4149, 1926, 9705, 2078, 547, 2087, 1256, 2417, 3034, 763, 17578, 2313, 9874, 2749, 2229, 849, 814, 1164, 13922, 585, 519, 6928, 779, 12625, 563, 22154, 568, 513, 1390, 4316, 547, 3895, 17578, 2313, 9874, 607, 519, 6532, 540, 11114, 900, 1170, 2456, 267, 1312, 693, 1753, 543, 13383, 2223, 513, 2749, 2229, 4013, 1767, 269, 968, 2171, 4126, 621, 786, 3565, 547, 519, 11505, 1063, 3567, 543, 3162, 9705, 543, 1291, 547, 811, 15377, 3034, 5649, 519, 2407, 2376, 1934, 0, 2252, 596, 2461, 513, 2915, 8227, 267, 596, 917, 602, 5329, 707, 4620, 2635, 568, 513, 1283, 10862, 269, 1411, 949, 723, 4862, 602, 20397, 616, 513, 2635, 15165, 585, 3425, 267, 855, 723, 596, 2479, 9289, 952, 789, 2461, 2922, 585, 5243, 547, 3548, 286, 634, 2626, 568, 9811, 267, 20397, 616, 1434, 585, 5243, 267, 855, 972, 616, 930, 1919, 596, 1058, 917, 1354, 8023, 707, 7782, 713, 17705, 4829, 563, 289, 534, 11446, 616, 1164, 538, 11379, 267, 6171, 645, 277, 267, 543, 6171, 595, 267, 799, 2306, 873, 513, 14312, 15165, 585, 1312, 3425, 543, 5243, 269, 1717, 267, 607, 609, 1022, 1426, 267, 20208, 568, 1883, 269, 18320, 1454, 540, 513, 1434, 3364, 666, 581, 5739, 267, 543, 20397, 616, 1100, 9868, 269, 769, 713, 2376, 267, 649, 3580, 2263, 519, 2640, 543, 1761, 4220, 540, 8023, 20397, 547, 707, 4620, 267, 865, 596, 666, 1118, 606, 5483, 3375, 827, 2436, 610, 711, 547, 1039, 713, 4829, 547, 741, 2732, 563, 8368, 540, 12937, 454, 268, 715, 26798, 10025, 540, 14465, 11446, 585, 17268, 454, 268, 11588, 540, 30839, 14465, 11446, 547, 17268, 454, 268, 24093, 540, 30839, 14465, 11446, 547, 17268, 454, 268, 1215, 547, 16376, 14465, 11446, 547, 17268, 454, 268, 14168, 14465, 3570, 6164, 31204, 585, 17268, 454, 301, 26798, 10025, 540, 14465, 11446, 585, 17268, 454, 289, 534, 11446, 616, 513, 1390, 2707, 540, 6484, 585, 5243, 269, 1358, 616, 14095, 609, 8324, 543, 6886, 267, 6775, 267, 543, 824, 5567, 602, 666, 948, 1832, 707, 4620, 2635, 269, 3371, 616, 930, 540, 519, 1883, 9422, 2640, 540, 20397, 585, 5243, 912, 309, 527, 7530, 543, 30200, 454, 289, 534, 11446, 616, 3638, 538, 8324, 543, 6886, 602, 616, 1271, 585, 707, 2915, 779, 1072, 269, 1358, 2270, 1164, 2157, 540, 11379, 267, 799, 666, 948, 10038, 1973, 2604, 543, 3895, 2635, 4887, 543, 8229, 1599, 269, 14465, 11446, 616, 849, 513, 1434, 2707, 540, 6171, 595, 267, 799, 666, 5818, 707, 2915, 779, 4761, 1062, 543, 948, 2061, 4576, 269, 3958, 267, 20397, 2270, 6171, 645, 277, 267, 799, 568, 1271, 585, 2634, 1599, 543, 2337, 519, 1560, 3132, 2699, 1973, 2281, 563, 289, 534, 11446, 616, 513, 1390, 2707, 540, 6775, 267, 799, 666, 948, 10038, 707, 2915, 779, 9667, 1062, 269, 27438, 2337, 1832, 707, 2915, 779, 15108, 5322, 2834, 543, 666, 2061, 19228, 269, 589, 5420, 13355, 19337, 3568, 827, 476, 274, 10101, 540, 6775, 267, 799, 568, 827, 476, 1015, 260, 540, 707, 2915, 779, 3232, 6775, 2115, 563, 4407, 20397, 616, 513, 2635, 1521, 585, 5243, 267, 789, 798, 2270, 4006, 269, 589, 5420, 13355, 19337, 3568, 827, 476, 1691, 10101, 540, 4006, 267, 799, 568, 827, 519, 1482, 2179, 607, 513, 1507, 23739, 269, 898, 779, 1271, 547, 3049, 20397, 547, 707, 2915, 538, 20208, 543, 607, 851, 540, 513, 7059, 2732, 269, 18320, 1454, 4006, 666, 1291, 547, 2597, 2744, 543, 824, 1072, 2042, 563, 19119, 540, 30839, 14465, 11446, 547, 17268, 454, 293, 29623, 20397, 547, 707, 2915, 666, 1683, 1896, 1072, 2640, 269, 3371, 616, 930, 540, 519, 2640, 912, 289, 534, 11446, 616, 3638, 538, 6775, 267, 799, 666 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1482, 4908, 269, 634, 4909, 1966, 9619, 538, 4908, 5542, 568, 602, 2016, 519, 12616, 5420, 568, 513, 3838, 5420, 267, 519, 811, 3457, 596, 723, 5665, 538, 519, 1482, 4908, 6512, 267, 519, 2539, 519, 2500, 998, 1584, 585, 1142, 1367, 3926, 630, 31138, 602, 5012, 547, 1256, 2539, 2773, 952, 513, 3926, 568, 4092, 538, 519, 1858, 540, 4908, 27492, 331, 6260, 3490, 10473, 1040, 5295, 1852, 267, 5916, 609, 10995, 4908, 5542, 6620, 267, 6663, 547, 2333, 4908, 556, 639, 9220, 2702, 547, 19074, 519, 1482, 4908, 1419, 2066, 2230, 267, 2705, 267, 1510, 2870, 2127, 540, 4908, 16937, 563, 763, 6988, 540, 971, 513, 4305, 568, 711, 585, 519, 535, 664, 1492, 14975, 543, 814, 9247, 3366, 547, 519, 5137, 540, 606, 3003, 2872, 1472, 15261, 19712, 21438, 25121, 267, 10660, 1229, 676, 3549, 971, 607, 589, 745, 9346, 267, 8585, 340, 17978, 267, 543, 595, 8646, 267, 1851, 1866, 563, 763, 1739, 1957, 3081, 602, 2348, 2789, 6673, 338, 609, 606, 20718, 3795, 1858, 5665, 593, 519, 1482, 4908, 949, 711, 581, 513, 1966, 15042, 269, 634, 4589, 4766, 513, 3070, 602, 666, 1450, 513, 12616, 29135, 547, 4336, 922, 998, 1584, 676, 16111, 4946, 811, 6673, 338, 593, 519, 1482, 8756, 256, 634, 3077, 17293, 9183, 568, 602, 540, 513, 10554, 4055, 610, 606, 2912, 3218, 1756, 267, 1141, 6673, 338, 616, 4448, 547, 1142, 824, 998, 513, 1164, 18286, 29040, 3060, 267, 543, 1141, 10053, 6673, 11766, 906, 616, 11613, 2556, 547, 13918, 6808, 3747, 267, 1247, 9055, 616, 1932, 3908, 538, 1297, 547, 2061, 16937, 563, 763, 4589, 4766, 513, 3070, 602, 666, 1450, 513, 12616, 29135, 547, 4336, 922, 998, 1584, 676, 16111, 4946, 811, 6673, 338, 593, 519, 1482, 8756, 2336, 763, 4589, 10210, 519, 4909, 2324, 6240, 538, 2221, 781, 13038, 18452, 13038, 19243, 630, 300, 8379, 302, 264, 31092, 560, 1002, 540, 11237, 14127, 663, 1118, 621, 960, 2066, 513, 1297, 540, 4830, 10141, 1562, 269, 1358, 1289, 741, 10325, 17434, 11638, 268, 27165, 2142, 600, 14127, 630, 297, 11586, 1040, 634, 4161, 602, 1590, 581, 9619, 568, 519, 808, 11586, 10141, 1562, 991, 547, 1852, 519, 3448, 11775, 540, 741, 10299, 6786, 547, 5512, 2500, 11237, 14127, 267, 676, 799, 519, 6786, 547, 26516, 23700, 22599, 856, 269, 9717, 602, 4830, 10141, 1562, 723, 4830, 14251, 2209, 267, 971, 513, 10421, 568, 711, 6923, 1558, 563, 763, 4589, 2232, 713, 4161, 676, 1374, 908, 835, 6673, 538, 519, 12616, 29135, 607, 519, 1291, 6673, 269, 634, 3070, 1568, 538, 1079, 11775, 269, 4438, 519, 6482, 5123, 267, 1142, 6673, 3800, 922, 8756, 547, 1142, 17513, 267, 607, 1134, 607, 519, 8756, 689, 519, 1291, 6673, 547, 519, 10553, 6673, 338, 269, 4438, 519, 1239, 6771, 5123, 267, 1142, 10553, 6673, 2953, 338, 922, 4908, 15558, 609, 2463, 547, 519, 1291, 6673, 267, 543, 782, 6673, 338, 24973, 10141, 547, 21276, 569, 5838, 21168, 547, 2789, 2256, 1392, 269, 1358, 1397, 602, 971, 513, 7271, 666, 581, 3362, 8383, 730, 1369, 519, 2796, 540, 476, 26764, 269, 1556, 333, 563, 2304, 4890, 6388, 593, 513, 476, 1015, 5991, 1712, 3301, 268, 2784, 1470, 15261, 19712, 1449, 5523, 9727, 513, 5276, 2333, 538, 3060, 998, 1584, 609, 513, 11667, 2744, 540, 476, 279, 269, 272, 547, 476, 280, 269, 275, 343, 269, 4329, 6901, 593, 796, 7116, 1881, 476, 26764, 269, 1556, 333, 6486, 5031, 519, 16854, 1761, 540, 519, 6069, 3070, 563, 763, 960, 5941, 538, 713, 1957, 1223, 4625, 1689, 519, 6138, 5817, 519, 1374, 540, 10053, 13055, 12616, 29135, 11766, 906, 563, 2414, 2070, 519, 18913, 1957, 267, 3643, 8222, 28482, 332, 3820, 270, 1015, 269, 14625, 276, 270, 28360, 279, 6078, 274, 454, 763, 7913, 7732, 568, 3370, 676, 519, 5948, 585, 17270, 7557, 10320, 269, 14645, 9736, 476, 1001, 275, 8028, 300, 267, 5549, 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 ]
[ 0, 5228, 10070, 1104, 632, 4302, 692, 591, 23753, 815, 9598, 3890, 1948, 13200, 351, 13200, 509, 21211, 10429, 372, 29830, 358, 10524, 370, 454, 591, 23753, 9131, 288, 11172, 815, 18358, 289, 3299, 1412, 291, 3299, 1412, 290, 23300, 591, 23753, 9131, 289, 11172, 815, 18358, 288, 3299, 1412, 291, 23300, 591, 23753, 9131, 290, 11172, 815, 18358, 291, 3299, 1412, 288, 23300, 591, 23753, 9131, 291, 11172, 815, 18358, 289, 3299, 1412, 288, 3299, 1412, 290, 23300, 591, 23753, 9131, 292, 11172, 815, 18358, 293, 3299, 1412, 290, 23300, 591, 23753, 9131, 293, 11172, 815, 18358, 292, 262, 6540, 3698, 536, 325, 15507, 263, 591, 23753, 267, 3597, 2187, 567, 10272, 815, 1592, 4590, 567, 6446, 815, 632, 4302, 8443, 10174, 7481, 567, 10272, 6910, 20172, 994, 567, 6843, 815, 3597, 454, 567, 1247, 7003, 263, 4302, 264, 3436, 476, 271, 912, 8587, 6843, 815, 6446, 4877, 963, 1111, 4590, 8587, 7023, 815, 14584, 19559, 1712, 2639, 8587, 1948, 16533, 485, 421, 505, 484, 12571, 486, 29830, 358, 10524, 370, 417, 479, 504, 26266, 362, 421, 505, 484, 420, 357, 486, 28997, 501, 268, 23284, 25203, 372, 421, 482, 364, 421, 510, 480, 421, 375, 508, 27384, 374, 4970, 375, 28032, 484, 13200, 351, 13200, 509, 13161, 364, 421, 505, 484, 12571, 486, 11858, 502, 418, 498, 378, 27882, 352, 420, 369, 364, 420, 357, 359, 7511, 421, 510, 480, 421, 375, 508, 454, 8587, 1948, 7390, 910, 29635, 357, 502, 421, 490, 482, 8266, 29830, 358, 10524, 370, 18809, 418, 509, 494, 13601, 419, 369, 482, 27882, 352, 21928, 420, 369, 364, 420, 357, 359, 7511, 419, 363, 478, 421, 375, 508, 454, 8587, 7390, 815, 1305, 263, 31371, 4011, 264, 910, 1305, 263, 6665, 1243, 994, 8587, 1948, 420, 489, 354, 420, 369, 364, 420, 357, 359, 18809, 421, 510, 480, 421, 375, 508, 7511, 421, 499, 371, 18021, 355, 27962, 13161, 376, 421, 505, 370, 8147, 417, 495, 376, 9463, 360, 289, 9281, 15044, 3890, 16583, 377, 19764, 493, 417, 479, 504, 26406, 496, 31365, 454, 8587, 952, 7003, 263, 3430, 754, 264, 3436, 476, 271, 912, 1363, 1948, 16533, 485, 26266, 366, 420, 369, 364, 420, 357, 359, 7511, 421, 510, 480, 421, 375, 508, 13161, 364, 417, 351, 508, 28996, 7987, 490, 26266, 366, 418, 489, 506, 420, 357, 359, 7987, 491, 8266, 29830, 358, 10524, 370, 18809, 454, 1363, 585, 6221, 538, 15044, 263, 3430, 754, 2187, 2018, 10272, 6910, 263, 14403, 994, 2018, 6446, 6910, 263, 14403, 264, 1948, 13161, 364, 417, 351, 508, 30317, 27381, 510, 28996, 12916, 485, 28578, 454, 567, 2132, 10272, 692, 2745, 6357, 325, 15507, 263, 591, 23753, 267, 1412, 288, 10807, 2020, 0, 258, 23284, 421, 479, 508, 417, 375, 375, 418, 365, 480, 31006, 27962, 10429, 361, 22390, 491, 10533, 372, 454, 3698, 575, 7251, 3799, 272, 267, 562, 273, 2187, 567, 1948, 417, 28187, 31563, 333, 272, 283, 333, 273, 16533, 365, 419, 377, 362, 418, 493, 505, 454, 567, 952, 630, 333, 272, 2999, 562, 273, 2187, 8587, 562, 272, 267, 562, 273, 815, 562, 273, 267, 562, 272, 454, 567, 1948, 417, 28187, 31563, 333, 272, 30522, 353, 333, 273, 7511, 421, 353, 502, 10533, 372, 27384, 374, 271, 8147, 333, 273, 16533, 365, 15159, 31006, 27962, 10429, 361, 22390, 491, 10533, 372, 454, 567, 952, 562, 272, 4939, 562, 273, 2652, 476, 271, 912, 8587, 2132, 562, 273, 567, 1948, 417, 509, 374, 10951, 361, 418, 350, 486, 28032, 489, 8147, 419, 369, 480, 27882, 351, 421, 479, 508, 417, 375, 375, 454, 567, 3116, 912, 8587, 2132, 575, 7251, 3799, 273, 267, 562, 272, 260, 333, 273, 264, 567, 1948, 421, 479, 508, 417, 375, 375, 25426, 506, 32517, 480, 19764, 493, 454, 2745, 3488, 294, 7374, 568, 3299, 326, 7251, 263, 3607, 267, 476, 5655, 4917, 0, 258, 476, 18777, 478, 9463, 500, 11590, 490, 419, 370, 511, 8266, 454, 15893, 815, 20886, 1556, 267, 476, 1321, 267, 476, 1724, 3910, 1496, 2420, 267, 476, 2190, 267, 476, 2918, 3910, 1496, 3451, 267, 476, 3374, 267, 476, 4391, 27663, 3097, 1721, 7329, 343, 267, 835, 538, 26246, 28840, 2567, 1948, 476, 21588, 361, 13601, 31271, 353, 1721, 417, 375, 375, 17295, 486, 454, 567, 1820, 3488, 21588, 361, 24001, 28578, 281, 8339, 8971, 263, 30915, 1070, 1439, 815, 1412, 5073, 825, 454, 567, 585, 1079, 538, 835, 281, 476, 1948, 476, 21588, 361, 11590, 490, 31271, 353, 1721, 417, 375, 375, 17295, 486, 454, 8587, 1820, 6025, 6851, 267, 1439, 815, 1412, 1412, 264, 1948, 420, 376, 372, 24731, 18263, 489, 23523, 490, 21251, 418, 493, 505, 27310, 454, 567, 1820, 3890, 567, 1948, 14395, 490, 29873, 21588, 361, 11590, 490, 31271, 353, 1721, 417, 375, 375, 17295, 486, 18263, 489, 23523, 490, 418, 493, 505, 27310, 454, 12828, 912, 567, 1820, 3488, 4970, 366, 28578, 18777, 478, 9463, 500, 14395, 490, 419, 499, 351, 256, 5073, 0, 258, 11590, 490, 419, 370, 511, 30522, 352, 28578, 268, 23284, 28578, 27384, 374, 4970, 375, 692, 6783, 273, 291, 815, 20886, 1556, 267, 476, 1321, 267, 476, 1724, 267, 476, 1691, 16689, 567, 1496, 2420, 267, 476, 2190, 267, 476, 2918, 267, 476, 2764, 3910, 1496, 3451, 267, 476, 3374, 267, 476, 4391, 267, 476, 4375, 316, 6540, 258, 18777, 478, 9463, 500, 23284, 28578, 27384, 374, 4970, 375, 7511, 11590, 490, 419, 370, 511, 30522, 352, 28578, 454, 2745, 3488, 23284, 28578, 27384, 374, 4970, 375, 5073, 1721, 7329, 343, 267, 835, 538, 26246, 263, 6783, 273, 291, 2187, 567, 1820, 3488, 21588, 361, 2715, 271, 348, 476, 28578, 268, 29717, 8971, 263, 30915, 1070, 1439, 815, 1412, 10807, 825, 454, 567, 585, 1079, 538, 835, 912, 8587, 1820, 263, 8971, 6025, 6851, 267, 1412, 283, 274, 30670, 1439, 815, 1412, 5073, 567, 1820, 4590, 825, 454, 258, 18777, 478, 9463, 500, 23284, 418, 361, 482, 27384, 374, 4970, 375, 7511, 11590, 490, 419, 370, 511, 30522, 352, 28578, 454, 2745, 3488, 23284, 418, 361, 482, 27384, 374, 4970, 375, 5073, 2745, 31912, 992, 314, 26383, 316, 585, 4737, 538, 5044, 273, 291, 2639, 11434, 585, 6241, 538, 2039, 263, 275, 264, 7481, 18411, 2745, 28361, 333, 8339, 21860, 8443, 5257, 269, 21860, 8443, 262, 346, 271, 23901, 274, 348, 8339, 8971, 21405, 314, 26383, 7481, 8587, 585, 4737, 538, 5044, 273, 291, 8079, 585, 6241, 538, 2039, 263, 275, 13580, 4297, 18411, 0, 258, 274, 2389, 340, 921, 420, 503, 499, 419, 494, 484, 31801, 478, 419, 500, 493, 419, 509, 358, 30522, 352, 692, 776, 288, 815, 20886, 271, 267, 476, 271, 267, 476, 271, 267, 476, 2767, 267, 476, 271, 3910, 1496, 271, 267, 476, 271, 267, 476, 1724, 267, 476, 271, 267, 476, 271, 16689, 1038, 1496, 271, 267, 476, 6078, 267, 476, 271, 267, 476, 271, 267, 476, 3607, 3910, 1496, 7367, 267, 476, 271, 267, 476, 280, 267, 476, 271, 267, 476, 271, 3910, 1496, 271, 267, 476, 271, 267, 476, 271, 267, 476, 1240, 267, 476, 271, 316, 6540, 258, 9463, 500, 23523, 501, 419, 509, 358, 30522, 352, 28578, 10533, 372, 18998, 418, 361, 482, 10533, 372, 454, 776, 2752, 578, 815, 7003, 263, 776, 288, 994, 776, 3722, 565, 4379, 815, 7003, 263, 776, 288, 314, 271, 7481, 15893, 815, 476, 271, 1948, 419, 369, 365, 420, 357, 486, 30837, 508, 421, 505, 370, 421, 510, 483, 25203, 362, 692, 2745, 3488, 18777, 478, 9463, 500, 31801, 478, 419, 500, 493, 30522, 352, 28578, 5073, 1721, 4737, 538, 513, 787, 288, 912, 567, 585, 6241, 538, 4737, 281, 11434, 454, 8587, 1820, 3488, 346, 271, 281, 285, 274, 323, 348, 8339, 8971, 263, 26383, 1070, 1439, 815, 1412, 347, 10807, 11434, 454, 8587, 952, 6241, 11203, 476, 271, 912, 1363, 1297, 6834, 476, 272, 454, 567, 1820, 10797, 258, 420, 503, 499, 419, 494, 484, 31801, 478, 419, 500, 493, 419, 509, 358, 30522, 352, 454, 30915, 815, 476, 272, 3097, 776, 289, 815, 20886, 14085, 30297, 274, 585, 6221, 538, 2039, 28840, 1341, 476, 272, 22708, 776, 289, 314, 271, 6012, 271, 316, 815, 513, 787, 2752, 578, 454, 776, 289, 314, 271, 6012, 272, 316, 815, 513, 787, 3722, 565, 4379, 454, 776, 289, 314, 271, 6012, 273, 316, 815, 1297, 692, 258, 28032, 507, 418, 497, 504, 31801, 478, 419, 500, 493, 419, 509, 358, 30522, 352, 28032, 484, 9463, 500, 23523, 501, 30837, 508, 421, 505, 370, 30317, 27381, 510, 7511, 28578, 18998, 418, 361, 482, 27381, 351, 19764, 499, 25520, 29219, 454, 1721, 4737, 538, 2039, 263, 776, 2752, 578, 2187, 567, 585, 6241, 538, 2039, 263, 776, 3722, 565, 4379, 2187, 8587, 952, 513, 787, 288, 314, 992, 6012, 26383, 316, 11203, 476, 271, 912, 1363, 513, 787, 289, 314, 30915, 6012, 271, 316, 815, 4737, 266, 272, 454, 1363, 513, 787, 289, 314, 30915, 6012, 272, 316, 815, 6241, 266, 272, 454, 1363, 513, 787, 289, 314, 30915, 6012, 273, 316, 815, 513, 787, 288, 314, 992, 6012, 26383, 2639, 1363, 7329, 343, 6834, 476, 272, 692, 2745, 3488, 18777, 478, 9463, 500, 417, 352, 497, 419, 372, 362, 23523, 490, 7511, 31801, 478, 419, 500, 493, 30522, 352, 28578, 5073, 1721, 4737, 538, 2039, 28840, 1341, 476, 272, 2187, 567, 585, 6241, 538, 2039, 263, 274, 2567, 11434, 454, 8587, 1820, 263, 8971, 263, 776, 289, 314, 992, 6012, 26383, 3910, 1412, 285, 274, 323, 30670, 1439, 815, 1412, 347, 10807, 11434, 454, 567, 1820, 10797, 0, 258, 27936, 419, 378, 358, 16583, 377, 19764, 493, 454, 3698, 30775, 16655, 3799, 272, 267, 562, 273, 2187, 825, 952, 562, 272, 3436, 562, 273, 912, 1038, 1267, 815, 562, 272, 454, 825, 3116, 912, 1038, 1267, 815, 562, 273, 454, 825, 2132, 1267, 692, 258, 13127, 495, 376, 9463, 360, 16583, 377, 19764, 493, 454, 11133, 272, 267, 1003, 273, 815, 859, 531, 9272, 3488, 420, 376, 372, 24662, 10429, 358, 22390, 489, 10533, 372, 29219, 16088, 29125, 2745, 3488, 420, 376, 481, 27962, 29219, 3299, 30775, 16655, 16325, 272, 267, 1003, 273, 4917, 0, 5814, 533, 3863, 454, 5814, 21795, 607, 19073, 692, 1042, 9016, 815, 533, 3863, 10611, 539, 9016, 2891, 15318, 272, 2580, 3593, 318, 26047, 6889, 15318, 272, 3593, 8665, 15419, 11357, 815, 18358, 28274, 2414, 31955, 11172, 476, 1948, 1118, 513, 1592, 540, 1016, 1042, 323, 1080, 596, 1616, 547, 1085, 7275, 519, 1239, 689, 692, 1721, 521, 538, 1016, 912, 825, 1016, 1042, 9016, 815, 14703, 16553, 1042, 9016, 4433, 264, 567, 1948, 932, 3151, 519, 1016, 1042, 9016, 7531, 19399, 5992, 454, 258, 567, 595, 3918, 288, 16249, 667, 8453, 14473, 9215, 5254, 16800, 5990, 667, 25353, 18040, 2975, 295, 654, 21135, 18688, 12164, 309, 12224, 3633, 9215, 589, 667, 25353, 15709, 28719, 454, 19399, 5992, 692, 258, 567, 10691, 292, 281, 20231, 5990, 18161, 4306, 667, 25353, 6730, 25265, 7728, 667, 25353, 654, 21135, 18688, 14408, 309, 3633, 5442, 29375, 302, 667, 9281, 29052, 7728, 454, 258, 567, 667, 2969, 17955, 4811, 6730, 700, 2969, 2207, 27114, 18688, 30684, 303, 3633, 2475, 5058, 594, 9169, 5508, 18161, 4306, 306, 270, 4596, 12613, 19006, 6789, 25723, 654, 21135, 3097, 258, 567, 18688, 26480, 307, 7838, 5058, 20231, 594, 9169, 8946, 2969, 2910, 10933, 5442, 744, 7838, 654, 17751, 692, 258, 590, 10135, 4338, 5058, 27114, 18688, 667, 24535, 966, 8656, 966, 2752, 22473, 4785, 31031, 2969, 9680, 22494, 2715, 295, 5588, 267, 307, 8008, 267, 31756, 348, 649, 786, 979, 609, 20438, 4640, 1775, 4318, 1210, 3406, 513, 20438, 454, 825, 13214, 815, 18358, 19604, 10542, 262, 6540, 8931, 825, 2022, 18380, 815, 13634, 1038, 834, 27583, 257, 2433, 1496, 16689, 1038, 834, 16557, 257, 2433, 1496, 16689, 1038, 834, 573, 257, 2433, 1496, 16689, 1038, 834, 14766, 257, 2433, 1496, 16689, 1038, 834, 1260, 916, 19571, 9899, 1496, 16689, 1038, 834, 920, 730, 257, 2433, 1496, 16689, 1038, 834, 7853, 257, 2433, 11713, 825, 7684, 454, 825, 8292, 18380, 815, 13634, 1038, 834, 1260, 618, 16182, 257, 2433, 1496, 16689, 1038, 834, 1260, 618, 7272, 1861, 16182, 257, 2433, 1496, 16689, 1038, 834, 1260, 618, 318, 7853, 257, 2433, 1496, 16689, 1038, 834, 1260, 618, 9078, 1074, 16182, 257, 2433, 11713, 825, 7684, 454, 825, 585, 19169, 538, 1016, 1042, 9016, 269, 14653, 263, 3916, 527, 284, 1911, 2187, 1038, 2022, 18380 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3238, 538, 519, 2062, 26918, 1281, 711, 1689, 519, 1249, 602, 513, 1753, 538, 3013, 568, 2062, 743, 2216, 1169, 5722, 3764, 630, 294, 9287, 562, 4877, 1916, 2467, 616, 1869, 5215, 540, 1004, 9561, 741, 6009, 10865, 267, 972, 616, 5215, 811, 945, 3112, 6488, 6142, 3382, 269, 18703, 568, 1318, 538, 1010, 5048, 282, 972, 616, 513, 2824, 1906, 945, 723, 26884, 519, 1977, 3854, 2065, 1062, 543, 1500, 513, 2048, 680, 583, 16860, 685, 856, 540, 519, 1062, 630, 291, 1173, 529, 562, 4877, 1916, 763, 7260, 2242, 1250, 2070, 540, 16851, 538, 519, 2631, 540, 2048, 684, 29970, 16851, 9957, 5272, 1514, 3069, 814, 922, 942, 267, 20913, 7665, 7960, 16851, 1317, 519, 942, 729, 1318, 585, 621, 267, 543, 519, 1004, 267, 693, 602, 1448, 538, 942, 267, 941, 22691, 585, 519, 3854, 2065, 4838, 269, 1809, 585, 1169, 1974, 538, 1686, 972, 616, 1949, 602, 960, 267, 607, 1134, 607, 1866, 602, 3274, 798, 711, 563, 5804, 18703, 779, 7260, 267, 594, 1294, 602, 5310, 621, 568, 942, 602, 711, 1152, 519, 772, 2529, 267, 855, 849, 519, 1964, 540, 519, 1158, 267, 12649, 875, 16851, 568, 2322, 547, 960, 269, 2060, 610, 1510, 519, 1025, 2120, 538, 18703, 779, 7260, 267, 519, 4411, 267, 2182, 5013, 798, 711, 1689, 602, 972, 568, 513, 14407, 19261, 538, 519, 3892, 540, 2200, 267, 607, 729, 5497, 538, 519, 1101, 1747, 267, 543, 602, 5310, 267, 621, 568, 827, 942, 972, 729, 513, 2022, 32728, 1388, 1143, 4838, 563, 289, 578, 956, 267, 6754, 269, 13317, 1143, 269, 5507, 281, 21942, 1299, 7043, 2006, 267, 476, 1220, 278, 269, 7179, 563, 291, 1173, 529, 267, 2494, 2129, 5055, 269, 968, 22479, 1388, 1143, 281, 589, 11146, 9452, 1848, 20176, 625, 269, 5500, 9392, 2593, 269, 476, 2537, 9484, 476, 1220, 280, 269, 5680, 563, 294, 9287, 267, 6424, 269, 968, 22479, 1388, 1143, 281, 589, 11146, 9452, 267, 5623, 1848, 1855, 25393, 16691, 16896, 269, 476, 1839, 4924, 476, 1001, 271, 269, 5680, 563, 24718, 540, 13317, 1143, 543, 4317, 1143, 4828, 454, 6635, 7666, 2406, 267, 835, 540, 519, 1034, 14222, 2934, 538, 1480, 7919, 568, 741, 2702, 547, 1374, 1949, 602, 948, 873, 1020, 1585, 3344, 540, 741, 12977, 269, 3683, 519, 2063, 2540, 267, 6082, 782, 936, 519, 1158, 723, 8045, 1585, 1949, 602, 948, 873, 21138, 267, 15814, 543, 1827, 519, 2139, 2200, 9935, 563, 8601, 519, 7145, 17820, 676, 891, 1949, 267, 1585, 5640, 543, 1062, 19767, 723, 2097, 909, 609, 2963, 602, 2901, 1489, 610, 7106, 17311, 971, 1949, 538, 6935, 547, 875, 789, 948, 519, 12504, 787, 3035, 741, 2115, 267, 543, 875, 519, 6608, 21138, 1585, 2200, 269, 7324, 519, 1034, 1455, 1949, 7550, 676, 1034, 6082, 616, 519, 3854, 2065, 543, 519, 1514, 2065, 2804, 1949, 563, 7437, 741, 946, 267, 891, 1949, 723, 538, 519, 2487, 2250, 8810, 547, 581, 2500, 547, 930, 543, 17672, 547, 1866, 269, 901, 1382, 1957, 4927, 1305, 856, 547, 2263, 519, 3604, 543, 10486, 1063, 891, 1079, 1949, 269, 589, 2143, 2079, 540, 875, 1142, 540, 891, 1949, 5540, 519, 3892, 540, 5763, 543, 2200, 1369, 1114, 6082, 4927, 849, 581, 3177, 563, 1607, 4927, 2832, 693, 11840, 908, 519, 6708, 547, 799, 1142, 540, 891, 1949, 814, 8810, 547, 581, 2500, 538, 4509, 1978, 14227, 3344, 971, 607, 1480, 1318, 267, 1072, 1416, 267, 1514, 4346, 267, 2203, 540, 1646, 543, 1514, 9716, 1851, 1866, 538, 1808, 6082, 563, 22479, 1388, 1143, 281, 589, 5618, 7650, 454, 6097, 547, 670, 809, 518, 267, 13317, 1143, 15244, 922, 5072, 1394, 547, 519, 2038, 1647, 6502, 1141, 2043, 15548, 538, 513, 1106, 540, 4123, 1634, 607, 24271, 656, 559, 1143, 630, 272, 1040, 769, 713, 4123, 2259, 267, 2043, 1131, 15814, 5370, 543, 2533, 609, 519, 1292, 2832, 540, 3478, 12434, 630, 295, 809, 518, 476, 272, 1916, 3080, 540, 519, 20443, 8984, 538, 713, 1106, 540, 4123, 729, 602, 22278, 1131, 4444, 5370, 689, 835, 3148, 543, 23799, 25572, 519, 1482, 547, 824, 4525, 693, 513, 2362, 3902, 269, 1306, 942, 4682, 676, 267, 713, 1062, 540, 4123, 729, 5189, 543, 7550, 676, 824, 6082, 2066, 2342, 269, 898, 568, 689, 1934, 602, 519, 2262, 16851, 729, 1031, 547, 5581, 713, 7960, 2804, 2259, 563, 22479, 1388, 1143, 281, 589, 1699, 5133, 454, 8256, 18790, 891, 896, 2023, 525, 267, 13317, 1143, 666, 581, 3989, 607, 606, 2804, 1062, 538, 799, 2043, 3635, 513, 1164, 1377, 540, 5191, 538, 6927, 3823, 547, 11601, 540, 3959, 267, 3902, 8990, 543, 4357, 9562, 540, 2200, 269, 16840, 540, 513, 3854, 2065, 2804, 1062, 723, 519, 5191, 547, 1118, 741, 1378, 3664, 607, 11341, 547, 875, 1655, 789, 666, 8415, 519, 17077, 2200, 538, 741, 15896, 607, 1134, 607, 519, 5191, 547, 1378, 543, 7500, 513, 1870, 540, 3283, 3903, 630, 289, 1663, 618, 15595, 476, 279, 1916, 1607, 6920, 602, 538, 971, 11615, 972, 568, 2370, 547, 1100, 2229, 13779, 593, 875, 4213, 267, 4747, 543, 12434, 616, 12236, 610, 14931, 269, 769, 2804, 2474, 267, 8891, 6652, 31234, 602, 3854, 2065, 11615, 616, 2196, 676, 519, 4229, 540, 3747, 543, 3761, 630, 272, 1916, 1103, 1769, 540, 713, 4214, 543, 6609, 267, 835, 1131, 8044, 602, 713, 568, 519, 1034, 10375, 1062, 540, 2804, 10350, 1317, 2043, 723, 519, 5191, 547, 2932, 1870, 538, 513, 6073, 602, 1655, 10742, 741, 1870, 3853, 630, 14708, 12434, 543, 2344, 7269, 1070, 782, 519, 1247, 13267, 547, 741, 5876, 538, 4881, 1870, 18129, 630, 31162, 341, 2526, 585, 519, 3514, 11687, 1040, 1717, 267, 13006, 543, 4052, 630, 9418, 1272, 3871, 264, 2963, 814, 538, 519, 2487, 2250, 9863, 602, 713, 13429, 568, 2484, 689, 519, 5168, 563, 12892, 1143, 281, 589, 5618, 7650, 454, 1103, 519, 1158, 649, 2661, 538, 2221, 267, 3140, 607, 1134, 607, 1459, 2804, 3871, 723, 8810, 602, 26587, 2043, 519, 5191, 547, 3313, 2344, 3466, 630, 335, 4631, 267, 3761, 267, 4199, 14305, 543, 3892, 1851, 1866, 264, 568, 711, 1152, 17672, 547, 5683, 1870, 2853, 267, 855, 849, 11151, 519, 1447, 26752, 689, 2348, 1569, 547, 930, 1454, 2877, 1514, 29319, 971, 607, 9897, 267, 10506, 267, 3506, 543, 538, 930, 8320, 2244, 563, 763, 1514, 2065, 2804, 1062, 568, 1759, 593, 519, 3741, 540, 7862, 267, 5191, 540, 4082, 543, 1367, 779, 2702, 547, 3635, 9111, 269, 1306, 971, 267, 568, 606, 2804, 1062, 998, 799, 2229, 543, 824, 1713, 9431, 4703, 3313, 875, 267, 17077, 2200, 1058, 581, 21248, 543, 7856, 8449, 547, 782, 9922, 540, 741, 4346, 563, 12892, 1143, 281, 589, 1699, 5133, 454, 1103, 2543, 547, 519, 1657, 6609, 267, 25847, 666, 581, 4330, 607, 513, 2797, 543, 2804, 3069, 799, 15156, 585, 519, 3160, 3892, 540, 513, 4182, 779, 17077, 2200, 543, 5763, 998, 519, 2229, 630, 303, 15127, 476, 1626, 1040, 1488, 7666, 2406, 267, 713, 568, 513, 10375, 2804, 1062, 538, 2221, 779, 1158, 799, 568, 6353, 676, 26846, 267, 17536, 1182, 543, 1164, 16526, 538, 1312, 519, 1514, 543, 2804, 30032, 2492, 5380, 563, 12892, 1143, 543, 13317, 1143, 281, 3123, 585, 7521, 454, 16485, 3054, 713, 2243, 281, 1018, 1131, 4755, 547, 519, 1158, 952, 1004, 941, 4847, 547, 1152, 3132, 5370, 543, 2533, 602, 12236, 873, 1164, 12434, 286, 14348, 596, 6488, 547, 4444, 513, 1286, 267, 946, 519, 9897, 267, 10506, 610, 1256, 723, 1569, 547, 513, 16350, 2069, 286, 634, 2626, 602, 1402, 338, 909, 538, 1250, 2212, 568, 282, 2048, 17472, 9957, 901, 568, 5631, 11911, 547, 519, 1249, 602, 971, 29319, 723, 8810, 547, 581, 540, 1390, 946, 547, 721, 607, 1480, 7919, 269, 769, 824, 1913, 267, 789, 616, 3810, 18796, 676, 1004, 563, 2005, 4061, 4422, 1510, 6031, 602, 952, 789, 941, 14350, 11262, 609, 1100, 2229, 13779, 610, 6042, 267, 519, 5777, 9901, 593, 971, 29319, 1131, 581, 1202, 2033, 569, 1164, 971, 602, 1152, 519, 3638, 538, 519, 2486, 1131, 4324, 269, 1924, 1018, 4523, 547, 519, 4057, 2818, 540, 519, 17069, 864, 286, 901, 9183, 8711, 519, 3604, 1063, 891, 1079, 2804, 1949, 563, 6097, 547, 18671, 618, 15595, 267, 3854, 1235, 3494, 538, 519, 10206, 602, 6668, 568, 8197, 585, 519, 3514, 11687, 630, 28638, 1040, 1306, 971, 267, 519, 2278, 5267, 602, 3854, 1235, 616, 6109, 21071, 540, 519, 1249, 602, 3025, 814, 513, 1318, 547, 1378, 607, 1454, 2244, 267, 3959, 267, 2200, 607, 646, 24172, 568, 2111, 547, 10536, 563, 303, 15127, 2417, 556, 3438, 919, 602, 3854, 2065, 11615, 616, 3989, 676, 519, 10206, 602, 1004, 945, 798, 711, 960, 607, 2182, 607, 1346, 609, 3959, 543, 824, 2200, 1058, 711, 3548, 610, 581, 2016, 2027, 9270, 1317, 5763, 568, 513, 8007, 585, 513, 1268, 779, 8990, 267, 5876, 543, 26490, 4369, 538, 2147, 1870, 3871, 630, 4343, 278, 1916, 4322, 616, 9266, 7440, 6236, 519, 1249, 602, 952, 1004, 941, 22635, 1922, 539, 1510, 1022, 27606, 610, 3646, 267, 519, 1158, 1131, 723, 1044, 513, 8909, 1747, 6353, 609, 1970, 7607, 267, 4057, 2208, 543, 1646, 543, 6710, 269, 1306, 971, 267, 519, 3854, 2065, 2804, 1062, 1131, 581, 1034, 14909, 952, 513, 4182, 16858, 547, 3895, 8990, 267, 5763, 5137, 543, 2182, 960, 1851, 922, 12504, 787, 563, 4913, 267, 17664, 31234, 602, 713, 2804, 1062, 543, 922, 28288, 3111, 547, 11760, 519, 1249, 602, 972, 568, 1100, 2197, 1369, 799, 1004, 2972, 12581, 3892, 540, 2067, 2200, 630, 5952, 1040, 901, 568, 5631, 1813, 547, 10923, 543, 6172, 5597, 2188, 799, 538, 1034, 2665, 1860, 519, 1377, 540, 2200, 602, 666, 581, 1336, 538, 513, 1808, 3148, 1369, 513, 2197, 269, 769, 1840, 267, 1004, 798, 711, 723, 3160, 2790, 1983, 563, 1607, 1797, 602, 1247, 606, 1367, 538, 15787, 666, 20354, 798, 930, 11327, 8105, 538, 519, 9390, 267, 1776, 1367, 538, 519, 19300, 4673, 9390, 949, 711, 8209, 1502, 525, 519, 1482, 6457, 610, 1983, 547, 798, 519, 1482, 269, 769, 1840, 267, 519, 3854, 2065, 2804, 1062, 14944, 1149, 519, 1249, 602, 1100, 2229, 666, 10018, 7694, 547, 782, 922, 4961, 563, 4002, 519, 824, 1688, 267, 1514, 1235, 3494, 538, 519, 10206, 602, 519, 2229, 1058, 581, 3743, 585, 519, 14305, 543, 3892, 540, 2200, 1369, 741, 2477, 563, 1607, 18941, 568, 2417, 20020, 18050, 676, 519, 1249, 602, 2229, 15696, 4327, 4199, 14305, 568, 519, 1034, 14323, 1797, 540, 5009, 3160, 2208, 543, 1646, 1369, 519, 2197, 607, 1134, 607, 606, 2500, 1907, 585, 28530, 16526, 543, 6710, 1369, 513, 4182, 269, 2060, 891, 896, 2023, 525, 267, 713, 1867, 4927, 946, 1585, 6724, 547, 5815, 519, 3604, 543, 10486, 1063, 891, 1949, 563, 11795, 3720, 1063, 4317, 1143, 543, 13317, 1143, 454, 6635, 7666, 2406, 267, 1004, 979, 547, 960, 610, 6108, 1034, 540, 741, 942, 2324, 865, 602, 789, 666, 18645, 741, 5763, 3490, 543, 1205, 2883, 12587, 799, 538, 2490, 5512, 873, 547, 3035, 1305, 3853, 543, 6859, 269, 4340, 547, 17664, 267, 3854, 2065, 11615, 616, 18170, 676, 1360, 7453, 4507, 3823, 519, 9562, 540, 4357, 3959, 630, 12553, 1916, 2026, 971, 267, 621, 1131, 581, 2922, 547, 2303, 602, 2804, 4978, 4371, 676, 3854, 1235, 616, 1034, 1419, 6766, 676, 4357, 5092, 543, 5647, 269, 901, 1797, 602, 3854, 2065, 11615, 616, 2966, 538, 971, 513, 6073, 602, 4961, 666, 11884, 4444, 543, 6133, 741, 1378, 3959, 9706, 1601, 32268, 269, 901, 568, 711, 519, 2013, 538, 1514, 2065, 11615, 538, 799, 4357, 9562, 540, 3959, 568, 547, 513, 1804, 6708, 27209, 610, 3668, 3959, 2924, 630, 298, 1258, 523, 342, 21392, 476, 6858, 1916, 1103, 2543, 547, 9541, 267, 623, 15127, 782, 26360, 602, 25847, 24115, 2471, 922, 28288, 689, 10115, 630, 20969, 1040, 9608, 5092, 1797, 602, 930, 1004, 786, 723, 811, 2200, 610, 5763, 982, 1866, 543, 713, 1131, 979, 1996, 519, 3741, 602, 1827, 713, 2804, 1062, 563, 1103, 1840, 267, 1004, 4440, 21183, 2476, 689, 10115, 1317, 693, 519, 1439, 540, 519, 1554, 267, 741, 4674, 786, 711, 2339, 607, 1454, 607, 519, 10206, 602, 789, 1058, 2671, 741, 5763, 543, 2200, 609, 1346, 945, 798, 711, 723, 7488, 540, 741, 4674, 610, 9295, 538, 519, 5092, 630, 303, 15127, 476, 26631, 1040, 18671, 618, 15595, 4061, 31234, 602, 538, 513, 24180, 4259, 267, 519, 5506, 540, 27823, 1004, 29227, 741, 2182 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1721, 630, 842, 1775, 815, 476, 271, 282, 1775, 2999, 562, 282, 1341, 266, 328, 994, 19127, 322, 719, 24177, 834, 476, 834, 24177, 2855, 5157, 30092, 8679, 8679, 2260, 476, 16849, 519, 5021, 540, 2016, 1079, 2338, 454, 842, 3193, 19368, 17301, 513, 267, 703, 536, 994, 19127, 604, 630, 320, 3436, 536, 994, 19127, 8873, 513, 3248, 8679, 8873, 536, 3248, 8679, 341, 1355, 3193, 11795, 2397, 17301, 2855, 314, 3910, 703, 562, 267, 703, 737, 994, 19127, 604, 630, 333, 10922, 476, 272, 994, 19127, 8873, 3248, 8679, 2260, 589, 5060, 18416, 14249, 454, 842, 2594, 19559, 30092, 842, 31185, 19559, 30092, 2260, 25849, 5044, 2609, 883, 2594, 563, 2260, 1656, 1305, 31185, 3355, 1871, 563, 1721, 630, 842, 1775, 815, 476, 271, 282, 1775, 2999, 562, 282, 1775, 10030, 994, 19127, 13440, 867, 5157, 316, 815, 2855, 5157, 30092, 31389, 5157, 316, 815, 476, 271, 3248, 8679, 2260, 23037, 2594, 5044, 454, 338, 677, 263, 13440, 867, 267, 2594, 1341, 562, 11850, 1721, 630, 842, 1775, 815, 476, 272, 282, 1775, 2999, 562, 282, 1341, 266, 328, 994, 19127, 31389, 5157, 316, 815, 31185, 5157, 910, 476, 272, 30092, 604, 16733, 13440, 867, 5157, 316, 910, 2594, 5157, 910, 476, 272, 8079, 2999, 737, 994, 19127, 604, 630, 328, 13843, 476, 273, 994, 19127, 31389, 5157, 316, 815, 713, 15010, 10946, 19368, 18692, 31389, 5157, 3910, 31185, 5157, 910, 476, 273, 316, 1341, 2594, 5157, 316, 1341, 2594, 5157, 910, 476, 272, 8079, 3248, 8679, 12828, 454, 19127, 31389, 5157, 316, 815, 713, 15010, 10946, 19368, 18692, 31389, 5157, 3910, 2594, 5157, 316, 1341, 2594, 5157, 910, 476, 272, 8079, 3248, 8679, 8679, 8679, 2260, 7179, 5044, 2609, 454, 10472, 15010, 2745, 26161, 19906, 267, 562, 11850, 2260, 18224, 7229, 1267, 454, 322, 719, 24177, 27719, 333, 28088, 2433, 834, 24177, 31185, 19559, 910, 476, 272, 316, 24177, 1439, 331, 3248, 8679, 348, 3248, 842, 1292, 4590, 19127, 2260, 26275, 540, 8870, 2609, 454, 842, 2855, 26514, 815, 13634, 272, 2073, 476, 276, 2073, 476, 278, 2073, 476, 275, 2073, 476, 1428, 2073, 476, 280, 2073, 476, 2641, 2073, 476, 1789, 454, 348, 3248, 2260, 5192, 1297, 540, 3693, 538, 5044, 454, 842, 562, 815, 2450, 1993, 19906, 264, 1315, 2450, 1993, 19906, 314, 271, 8079, 3248, 2260, 16338, 454, 842, 737, 815, 476, 274, 3248, 270, 20330, 263, 276, 2073, 476, 275, 264, 476, 630, 278, 267, 476, 476, 280, 2020, 276, 1341, 476, 275, 1341, 476, 278, 1341, 476, 280, 454, 1366, 9339, 454, 1839, 454, 265, 13045, 8873, 476, 271, 3248, 348, 32526, 2971, 19243, 692, 18606, 476, 476, 272, 476, 476, 276, 476, 476, 278, 476, 476, 275, 476, 476, 1428, 476, 476, 280, 476, 476, 2641, 476, 476, 1789, 454, 4910, 738, 2433, 476, 1839, 18606, 454, 18606, 2260, 3417, 4408, 10628, 1062, 454, 6748, 3590, 3248, 270, 20330, 290, 3333, 17369, 5358, 585, 454, 16655, 3065, 2040, 540, 8424, 609, 1808, 3017, 1210, 6422, 5752, 454, 265, 13045, 21504, 1362, 16338, 454, 19127, 2260, 7179, 5044, 2609, 454, 21504, 20704, 1820, 26161, 17301, 26514, 2855, 267, 703, 562, 994, 19127, 1721, 630, 842, 1775, 815, 476, 271, 282, 1775, 2999, 562, 282, 1341, 266, 328, 994, 19127, 3519, 18030, 269, 2237, 2891, 476, 834, 1341, 2855, 5157, 8079, 3248, 8679, 8679, 2260, 476, 16849, 519, 5021, 540, 2016, 1079, 2338, 454, 21504, 703, 3193, 19368, 17301, 513, 267, 703, 536, 994, 19127, 604, 630, 320, 3436, 536, 994, 19127, 8873, 513, 3248, 8679, 8873, 536, 3248, 8679, 21504, 20704, 3193, 11795, 2397, 17301, 26514, 2855, 267, 703, 562, 267, 703, 737, 994, 19127, 604, 630, 333, 10922, 476, 272, 994, 19127, 8873, 3248, 8679, 2260, 589, 5060, 18416, 14249, 454, 842, 26514, 2594, 815, 1007, 703, 19559, 30092, 842, 26514, 31185, 815, 1007, 703, 19559, 30092, 2260, 25849, 5044, 2609, 883, 2594, 563, 2260, 1656, 1305, 31185, 3355, 1871, 563, 1721, 630, 842, 1775, 815, 476, 271, 282, 1775, 2999, 562, 282, 1775, 10030, 994, 19127, 13440, 867, 5157, 316, 815, 2855, 5157, 30092, 31389, 5157, 316, 815, 476, 271, 3248, 8679, 2260, 23037, 2594, 5044, 454, 26161, 2529, 677, 263, 13440, 867, 11850, 1721, 630, 842, 1775, 815, 476, 272, 282, 1775, 2999, 562, 282, 1341, 266, 328, 994, 19127, 31389, 5157, 316, 815, 31185, 5157, 910, 476, 272, 30092, 604, 16733, 13440, 867, 5157, 316, 910, 2594, 5157, 910, 476, 272, 8079, 2999, 737, 994, 19127, 604, 630, 328, 13843, 476, 273, 994, 19127, 31389, 5157, 316, 815, 713, 27982, 19368, 18692, 31389, 5157, 3910, 31185, 5157, 910, 476, 273, 316, 1341, 2594, 5157, 316, 1341, 2594, 5157, 910, 476, 272, 8079, 3248, 8679, 12828, 454, 19127, 31389, 5157, 316, 815, 713, 27982, 19368, 18692, 31389, 5157, 3910, 2594, 5157, 316, 1341, 2594, 5157, 910, 476, 272, 8079, 3248, 8679, 8679, 8679, 2260, 7179, 5044, 2609, 454, 10472, 31428, 26161, 19906, 267, 562, 11850, 2260, 18224, 7229, 1267, 454, 3519, 18030, 269, 2237, 18118, 19629, 333, 28088, 2433, 834, 1341, 31185, 19559, 910, 476, 272, 8079, 3248, 8679, 21504, 11979, 20704, 6301, 263, 21803, 26514, 26571, 994, 19127, 2260, 26275, 540, 8870, 2609, 454, 842, 26514, 2855, 815, 13634, 272, 2073, 476, 276, 2073, 476, 278, 2073, 476, 275, 2073, 476, 1428, 2073, 476, 280, 2073, 476, 2641, 2073, 476, 1789, 454, 348, 3248, 2260, 5192, 1297, 540, 3693, 538, 5044, 454, 842, 562, 815, 2855, 11482, 2654, 3248, 2260, 16338, 454, 842, 737, 815, 476, 274, 3248, 270, 20330, 263, 276, 2073, 476, 275, 264, 476, 630, 278, 267, 476, 476, 280, 994, 276, 1341, 476, 275, 1341, 476, 278, 1341, 476, 280, 454, 1366, 9339, 454, 1839, 454, 265, 13045, 8679, 348, 32526, 2971, 19243, 692, 18606, 476, 476, 272, 476, 476, 276, 476, 476, 278, 476, 476, 275, 476, 476, 1428, 476, 476, 280, 476, 476, 2641, 476, 476, 1789, 454, 4910, 738, 2433, 476, 1839, 18606, 454, 18606, 17569, 720, 1292, 454, 5814, 834, 338, 677, 4840, 5814, 834, 325, 31198, 4840, 270, 20330, 7883, 5358, 585, 454, 16655, 3065, 2040, 540, 8424, 609, 1808, 3017, 1210, 6422, 5752, 454, 265, 270, 692, 2260, 7179, 5044, 2609, 454, 325, 15635, 1820, 26161, 19906, 26514, 703, 267, 562, 703, 264, 13634, 1721, 1775, 28701, 476, 271, 6902, 1775, 2999, 562, 6902, 1775, 10030, 13634, 325, 31198, 269, 19530, 2891, 476, 14307, 2855, 5157, 7481, 8679, 8679, 2260, 476, 16849, 519, 5021, 540, 2016, 1079, 2338, 454, 325, 15635, 3193, 19368, 5416, 267, 536, 703, 264, 703, 13634, 604, 513, 3436, 536, 13634, 8873, 513, 454, 8679, 8873, 536, 454, 8679, 325, 15635, 3193, 11795, 2397, 19906, 26514, 703, 267, 562, 703, 267, 737, 703, 264, 13634, 604, 562, 10922, 476, 272, 13634, 8873, 454, 8679, 2260, 589, 5060, 18416, 14249, 454, 12534, 2594, 815, 1118, 8443, 316, 703, 267, 562, 994, 12534, 31185, 815, 1118, 8443, 316, 703, 267, 562, 994, 2260, 25849, 5044, 2609, 883, 2594, 563, 1721, 1775, 28701, 476, 271, 6902, 1775, 2999, 562, 6902, 1775, 10030, 13634, 13440, 867, 5157, 316, 815, 2855, 5157, 2639, 8679, 2260, 23037, 2594, 5044, 454, 338, 677, 269, 4504, 338, 263, 13440, 867, 994, 1721, 1775, 28701, 476, 272, 6902, 1775, 2999, 562, 6902, 1775, 10030, 13634, 31389, 5157, 316, 815, 31185, 5157, 910, 476, 272, 2639, 604, 630, 13440, 867, 5157, 316, 910, 2594, 5157, 910, 476, 272, 8079, 2999, 737, 13634, 604, 1775, 13843, 476, 273, 13634, 31389, 5157, 316, 815, 3193, 19368, 5560, 335, 5157, 3910, 31185, 5157, 910, 476, 273, 316, 1341, 2594, 5157, 316, 1341, 2594, 5157, 910, 476, 272, 7481, 348, 3116, 13634, 31389, 5157, 316, 815, 3193, 19368, 5560, 335, 5157, 3910, 2594, 5157, 316, 1341, 2594, 5157, 910, 476, 272, 7481, 8679, 8679, 8679, 2260, 7179, 5044, 2609, 454, 2745, 26161, 19906, 267, 562, 994, 2260, 18224, 7229, 1267, 454, 325, 31198, 269, 19530, 15238, 19629, 333, 28088, 2433, 14307, 31185, 19559, 910, 476, 272, 7481, 8679, 325, 15635, 1292, 3890, 2715, 692, 2260, 26275, 540, 8870, 2609, 454, 12534, 2855, 815, 32582, 703, 2715, 272, 267, 476, 476, 276, 267, 476, 278, 267, 476, 275, 267, 476, 1428, 267, 476, 280, 267, 476, 2641, 267, 476, 1789, 8679, 2260, 5192, 1297, 540, 3693, 538, 5044, 454, 12534, 562, 703, 815, 7003, 19906, 994, 2260, 16338, 454, 12534, 737, 703, 815, 476, 274, 454, 270, 20330, 263, 276, 2073, 476, 275, 264, 476, 630, 278, 267, 476, 476, 280, 994, 276, 1341, 476, 275, 1341, 476, 278, 1341, 476, 280, 454, 1366, 9339, 454, 1839, 454, 265, 13045, 10946, 11795, 2397, 19906, 267, 562, 267, 737, 994, 348, 32526, 2971, 19243, 692, 18606, 476, 476, 272, 476, 476, 276, 476, 476, 278, 476, 476, 275, 476, 476, 1428, 476, 476, 280, 476, 476, 2641, 476, 476, 1789, 454, 4910, 738, 2433, 476, 1839, 18606, 454, 18606, 283, 286, 874, 335, 454, 270, 20330, 4942, 335, 5358, 585, 454, 16655, 3065, 2040, 540, 8424, 609, 1808, 3017, 1210, 6422, 5752, 454, 265, 13045, 5035, 16338, 454, 19127, 2260, 7179, 5044, 2609, 454, 21504, 453, 10818, 1820, 26161, 7268, 259, 1551, 267, 8096, 333, 994, 19127, 1721, 630, 15478, 328, 815, 476, 271, 282, 8096, 328, 2999, 8096, 333, 282, 1341, 10954, 259, 328, 994, 19127, 3663, 334, 2891, 476, 834, 269, 15478, 1551, 314, 15478, 328, 8079, 3248, 8679, 8679, 2260, 476, 16849, 519, 5021, 540, 2016, 1079, 2338, 454, 21504, 453, 10818, 3193, 19368, 7268, 259, 320, 267, 8096, 321, 994, 19127, 604, 630, 15478, 320, 3436, 8096, 321, 994, 19127, 8873, 8096, 320, 3248, 8679, 8873, 8096, 321, 3248, 8679, 21504, 453, 10818, 3193, 11795, 2397, 7268, 259, 1551, 267, 8096, 333, 267, 8096, 330, 994, 19127, 604, 630, 15478, 333, 10922, 476, 272, 994, 19127, 8873, 3248, 8679, 15478, 13440, 867, 815, 8096, 1551, 3248, 2260, 1656, 1305, 31185, 3355, 1871, 563, 15478, 31389, 815, 5044, 6958, 650, 263, 271, 267, 8096, 333, 267, 476, 271, 11850, 2260, 23037, 2594, 5044, 454, 338, 677, 7268, 259, 13440, 867, 11850, 1721, 630, 15478, 328, 815, 476, 272, 282, 8096, 328, 2999, 8096, 333, 282, 1341, 10954, 259, 328, 994, 19127, 15478, 31389, 314, 15478, 328, 316, 815, 8096, 31389, 314, 15478, 328, 910, 476, 272, 30092, 604, 630, 7268, 259, 13440, 867, 314, 15478, 328, 316, 910, 8096, 13440, 867, 314, 15478, 328, 910, 476, 272, 8079, 2999, 8096, 330, 994, 19127, 604, 630, 15478, 328, 13843, 476, 273, 994, 19127, 15478, 31389, 314, 15478, 328, 316, 815, 8096, 10472, 15010, 10946, 19368, 18692, 15478, 31389, 314, 15478, 328, 3910, 8096, 31389, 314, 15478, 328, 910, 476, 273, 316, 1341, 8096, 13440, 867, 314, 15478, 328, 316, 1341, 8096, 13440, 867, 314, 15478, 328, 910, 476, 272, 8079, 3248, 8679, 12828, 454, 19127, 15478, 31389, 314, 15478, 328, 316, 815, 8096, 10472, 15010, 10946, 19368, 18692, 15478, 31389, 314, 15478, 328, 3910, 8096, 13440, 867, 314, 15478, 328, 316, 1341, 8096, 13440, 867, 314, 15478, 328, 910, 476, 272, 8079, 3248, 8679, 8679, 8679, 2260, 7179, 5044, 2609, 454, 15478, 10472, 15010, 2745, 26161, 7268, 259, 1551, 267, 8096, 333, 11850, 2260, 18224, 7229, 1267, 454, 3663, 334, 19629, 333, 28088, 2433, 834, 269, 15478, 31389, 314, 15478, 333, 910, 476, 272, 316, 1701, 315, 333, 8442, 3248, 8679, 10926, 10818, 1292, 4590, 19127, 2260, 26275, 540, 8870, 2609, 454, 15478, 1551, 815, 5044, 263, 272, 267, 476, 276, 267, 476, 278, 267, 476, 275, 267, 476, 1428, 267, 476, 280, 267, 476, 2641, 267, 476, 1789, 11850, 2260, 5192, 1297, 540, 3693, 538, 5044, 454, 15478, 333, 815, 1293, 7268, 259, 1551, 11850, 2260, 16338, 454, 15478, 330, 815, 476, 274, 3248, 270, 20330, 263, 276, 2073, 476, 275, 264, 476, 630, 278, 267, 476, 476, 280, 994, 276, 1341, 476, 275, 1341, 476, 278, 1341, 476, 280, 454, 1366, 9339, 454, 1839, 454, 265, 13045, 8679, 10852, 3890, 282, 32526, 2971, 19243, 692, 18606, 476, 476, 272, 476, 476, 276, 476, 476, 278, 476, 476, 275, 476, 476, 1428, 476, 476, 280, 476, 476, 2641, 476, 476, 1789, 454, 4910, 738, 2433, 476, 1839, 18606, 454, 18606, 270, 20330, 11966, 23404, 5358, 585, 454, 16655, 3065, 2040, 540, 8424, 609, 1808, 3017, 1210, 6422, 5752, 454, 265, 13045, 5035, 16338, 454, 19127, 2260, 7179, 5044, 2609, 454, 2745, 26161, 19906, 267, 562 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5035, 3502, 5226, 924, 299, 7371, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 32197, 2187, 1038, 1582, 8807, 32327, 815, 32197, 454, 1038, 1582, 269, 641, 2287, 318, 1706, 815, 476, 271, 454, 1038, 1582, 17085, 3151, 318, 1706, 815, 476, 271, 454, 1038, 1582, 6155, 858, 815, 476, 271, 7531, 825, 1219, 18287, 5091, 858, 4311, 2187, 1038, 1582, 6155, 858, 815, 1582, 269, 641, 2287, 318, 1706, 910, 1582, 17085, 3151, 318, 1706, 7531, 825, 1219, 1101, 20189, 2788, 4311, 2187, 1038, 609, 1930, 4311, 8807, 32327, 267, 834, 337, 8442, 607, 3758, 912, 2018, 585, 1899, 538, 3758, 912, 3546, 585, 1915, 538, 1899, 912, 7386, 952, 630, 30726, 568, 1412, 3488, 2187, 13376, 1582, 269, 641, 2287, 318, 1706, 6834, 476, 272, 454, 7386, 952, 630, 30726, 568, 1412, 264, 262, 2187, 13376, 1582, 17085, 3151, 318, 1706, 6834, 476, 272, 692, 1038, 1582, 269, 5632, 322, 5091, 858, 4590, 1038, 1820, 4311, 6155, 858, 9239, 825, 1219, 2034, 20189, 2788, 4311, 2187, 1038, 4831, 815, 476, 272, 692, 1038, 609, 1930, 4311, 8807, 32327, 267, 834, 337, 8442, 607, 3758, 912, 2018, 585, 1899, 538, 3758, 912, 3546, 585, 1915, 538, 1899, 912, 7386, 952, 630, 30726, 568, 1412, 3488, 2187, 13376, 1582, 269, 641, 2287, 318, 1706, 6834, 476, 272, 454, 7386, 952, 630, 30726, 568, 1412, 264, 262, 2187, 13376, 1582, 17085, 3151, 318, 1706, 6834, 476, 272, 692, 7386, 1582, 269, 5632, 322, 5091, 858, 10797, 7386, 952, 630, 1345, 6155, 858, 2652, 910, 272, 2187, 13376, 1820, 2891, 24001, 693, 15079, 2668, 8971, 6262, 3300, 267, 1582, 6155, 858, 4917, 13376, 2132, 692, 7386, 4831, 6834, 476, 272, 7531, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 3070, 815, 3502, 5226, 924, 299, 7371, 3488, 32220, 6358, 17902, 5073, 825, 3070, 8807, 1009, 20189, 2788, 4590, 825, 3070, 269, 16149, 20189, 2788, 4590, 0, 258, 25284, 476, 272, 454, 325, 284, 13449, 2891, 31095, 17572, 17902, 14824, 337, 5602, 2745, 6600, 18667, 6050, 31156, 258, 25284, 476, 273, 454, 342, 337, 284, 13449, 2891, 31095, 17572, 17902, 2580, 262, 320, 266, 5073, 6113, 284, 13449, 2891, 1348, 17572, 17902, 2580, 262, 337, 5073, 5976, 1930, 2891, 1348, 17572, 17902, 2580, 262, 337, 10807, 607, 535, 912, 825, 1239, 284, 325, 18667, 4590, 825, 585, 15254, 538, 1239, 912, 1038, 21389, 22182, 263, 12534, 11850, 6113, 25379, 4590, 342, 337, 25379, 10797, 258, 25284, 476, 274, 454, 342, 337, 284, 13449, 2891, 928, 2346, 1679, 17572, 17902, 2580, 262, 320, 266, 5073, 6113, 815, 13449, 9497, 325, 272, 17902, 257, 2073, 1412, 337, 5073, 5976, 1930, 2891, 325, 272, 17902, 2580, 1412, 337, 10807, 607, 535, 912, 825, 1239, 815, 678, 323, 18667, 18118, 4590, 825, 585, 15254, 538, 1239, 912, 1038, 21389, 22182, 18118, 263, 12534, 11850, 6113, 25379, 4590, 342, 337, 25379, 10797, 692, 0, 258, 25284, 476, 272, 454, 328, 284, 271, 454, 331, 272, 17342, 2639, 6112, 9217, 283, 1015, 2187, 825, 561, 272, 6910, 17301, 9272, 3890, 4917, 825, 1775, 284, 328, 266, 272, 454, 328, 284, 271, 454, 6112, 9217, 283, 1015, 2187, 825, 1820, 10857, 272, 5157, 7481, 825, 1775, 815, 1775, 1341, 476, 272, 692, 258, 25284, 476, 273, 454, 6112, 263, 12148, 2187, 825, 1820, 2891, 14813, 9548, 8520, 15419, 258, 25284, 476, 274, 454, 328, 284, 271, 454, 331, 272, 17342, 2639, 331, 273, 17342, 2639, 6112, 9217, 283, 1015, 2187, 825, 561, 272, 6910, 17301, 9272, 3890, 4917, 825, 1775, 284, 328, 266, 272, 454, 328, 284, 271, 454, 6112, 9217, 283, 1015, 2187, 825, 561, 273, 6910, 10857, 272, 5157, 30297, 331, 272, 5157, 7481, 825, 1775, 284, 328, 266, 272, 692, 2745, 2891, 8266, 272, 27100, 568, 284, 2580, 331, 272, 994, 2745, 2891, 8266, 273, 27100, 568, 284, 2580, 331, 273, 2020, 258, 25284, 476, 275, 454, 328, 284, 271, 454, 331, 272, 17342, 272, 10086, 12507, 11986, 3299, 272, 269, 7367, 10086, 8138, 5069, 3299, 277, 2639, 2745, 2891, 8923, 9373, 5903, 27100, 2986, 7102, 7392, 6889, 2020, 328, 284, 271, 454, 2745, 10857, 272, 994, 6112, 9217, 283, 276, 2187, 825, 1820, 263, 6943, 10857, 272, 5157, 28413, 825, 1775, 284, 328, 266, 272, 692, 258, 25284, 476, 276, 454, 331, 272, 17342, 2639, 331, 273, 17342, 2639, 328, 284, 272, 454, 6112, 9217, 27045, 6200, 2187, 825, 952, 1775, 260, 273, 2525, 271, 912, 1038, 561, 273, 6910, 9217, 994, 825, 3116, 912, 1038, 561, 272, 6910, 9217, 994, 825, 1775, 284, 328, 266, 272, 692, 2745, 2891, 302, 9536, 3143, 269, 5903, 14307, 331, 272, 994, 2745, 2891, 10214, 3143, 269, 5903, 14307, 331, 273, 2020, 258, 25284, 476, 277, 454, 1721, 1775, 538, 2039, 263, 272, 267, 275, 2187, 825, 585, 795, 538, 2039, 263, 271, 267, 328, 2187, 1038, 1820, 2891, 265, 2580, 754, 6889, 19515, 825, 1820, 10797, 258, 25284, 476, 278, 454, 323, 28121, 262, 11243, 9166, 262, 12507, 11986, 19453, 3299, 273, 281, 276, 10086, 293, 1430, 8745, 9166, 262, 306, 11065, 19453, 12887, 300, 1278, 8745, 9166, 262, 2304, 329, 8932, 19453, 262, 8679, 1721, 1883, 538, 546, 912, 825, 1820, 31107, 2437, 24333, 323, 314, 4486, 7481, 0, 258, 476, 272, 269, 4855, 519, 12384, 3597, 540, 513, 1297, 269, 3097, 3698, 4009, 318, 10174, 16325, 2187, 825, 952, 1003, 2999, 476, 271, 610, 568, 27349, 16325, 267, 703, 264, 2652, 8771, 10778, 1038, 2132, 834, 1103, 20777, 18452, 269, 7490, 4283, 513, 2318, 1297, 4799, 825, 1439, 815, 1003, 1315, 476, 273, 1341, 272, 567, 1948, 2171, 616, 1175, 10992, 11489, 519, 3368, 1297, 2687, 547, 519, 8691, 4341, 563, 825, 585, 1775, 538, 2039, 263, 271, 267, 754, 266, 272, 2567, 1948, 2039, 568, 711, 8537, 865, 649, 1039, 1341, 272, 454, 1038, 952, 1775, 2608, 1775, 2652, 1003, 912, 2018, 2132, 1775, 22562, 825, 2132, 834, 8253, 513, 4009, 3010, 2745, 834, 306, 13645, 3597, 281, 14307, 338, 13645, 318, 10174, 263, 1839, 264, 1948, 322, 16226, 1505, 454, 2745, 834, 306, 13645, 3597, 281, 14307, 338, 13645, 318, 10174, 2891, 6062, 8442, 1948, 322, 16226, 1505, 454, 2745, 834, 306, 13645, 3597, 281, 14307, 338, 13645, 318, 10174, 263, 1911, 264, 1948, 322, 16226, 1505, 692, 0, 258, 5814, 782, 519, 2838, 15004, 454, 5814, 21795, 607, 19073, 454, 5228, 28189, 6230, 617, 601, 26000, 3005, 1104, 5721, 15305, 5334, 5902, 454, 5228, 28189, 269, 5471, 7879, 1104, 1611, 5334, 32464, 318, 19587, 454, 5228, 28189, 269, 15035, 31200, 1104, 12430, 8802, 1833, 454, 258, 2903, 519, 2866, 10471, 883, 519, 1239, 18134, 454, 4206, 815, 19073, 18667, 32269, 3488, 8976, 294, 318, 10574, 318, 309, 272, 269, 272, 27406, 5073, 258, 17840, 23333, 5881, 277, 607, 621, 781, 715, 26097, 454, 4206, 815, 17093, 6155, 1886, 2891, 4596, 299, 5881, 277, 2580, 7852, 284, 272, 994, 258, 3698, 710, 2866, 4183, 9587, 454, 30221, 6958, 324, 2137, 815, 17093, 269, 559, 665, 18020, 280, 281, 1556, 2639, 258, 3698, 710, 2866, 10297, 9587, 454, 30221, 9078, 629, 1564, 815, 17093, 269, 559, 665, 18020, 10602, 2639, 258, 2903, 519, 12605, 10471, 883, 519, 1239, 18134, 454, 323, 1111, 815, 19073, 18667, 32269, 3488, 8976, 294, 318, 10574, 318, 309, 274, 269, 272, 27406, 5073, 258, 3698, 710, 12605, 4183, 9587, 454, 11687, 6958, 324, 2137, 815, 546, 1111, 269, 559, 665, 18020, 280, 281, 1556, 2639, 258, 3698, 710, 519, 29976, 454, 743, 325, 815, 12430, 8802, 1833, 4590, 258, 7257, 519, 29976, 547, 2866, 1239, 454, 743, 325, 32265, 6025, 1778, 6958, 324, 2137, 25722, 1778, 9078, 629, 1564, 994, 258, 335, 9438, 519, 2418, 585, 519, 1449, 9706, 1042, 2109, 1305, 454, 335, 1042, 815, 804, 325, 4877, 9438, 6025, 652, 6958, 324, 2137, 994, 258, 17730, 606, 3977, 1239, 18134, 543, 13936, 4266, 267, 942, 543, 12605, 2418, 547, 621, 454, 4206, 335, 815, 546, 1111, 269, 559, 665, 18020, 271, 281, 273, 2639, 4206, 335, 14277, 307, 13759, 8802, 1833, 19312, 815, 2392, 454, 258, 16240, 519, 3977, 1239, 18134, 547, 513, 26417, 3758, 454, 4206, 335, 30419, 32269, 3488, 307, 13759, 8802, 1833, 303, 1042, 2109, 27406, 3299, 4994, 284, 8771, 994, 0, 258, 10112, 9892, 476, 272, 910, 5149, 18873, 692, 5814, 1770, 11687, 454, 5228, 513, 272, 1104, 2608, 692, 5035, 4530, 288, 272, 263, 684, 8636, 652, 11053, 652, 19111, 17107, 454, 825, 476, 10310, 5992, 2971, 7462, 454, 825, 1948, 9046, 476, 272, 454, 825, 476, 10310, 5992, 2971, 7462, 454, 825, 1219, 1449, 6958, 756, 4311, 2187, 1038, 1582, 27863, 6600, 756, 263, 271, 1070, 271, 994, 1038, 1582, 27863, 6600, 756, 263, 272, 1070, 476, 272, 994, 1038, 1582, 27863, 6600, 756, 263, 273, 1070, 476, 272, 994, 1038, 1582, 27863, 6600, 756, 263, 274, 1070, 476, 273, 994, 1038, 1582, 27863, 6600, 756, 263, 275, 1070, 476, 274, 994, 1038, 1582, 27863, 6600, 756, 263, 276, 1070, 476, 276, 994, 1038, 1582, 27863, 6600, 756, 263, 277, 1070, 476, 279, 994, 1038, 1582, 27863, 6600, 756, 263, 278, 1070, 476, 1724, 9239, 825, 476, 10310, 5992, 2971, 7462, 454, 825, 1948, 9046, 476, 273, 454, 825, 476, 10310, 5992, 2971, 7462, 454, 825, 1219, 1449, 23544, 4311, 2187, 1038, 1582, 27863, 4433, 636, 263, 271, 1070, 476, 271, 994, 1038, 1582, 27863, 4433, 636, 263, 272, 1070, 476, 272, 994, 1038, 1582, 27863, 4433, 636, 263, 273, 1070, 476, 274, 994, 1038, 1582, 27863, 4433, 636, 263, 274, 1070, 476, 277, 994, 1038, 1582, 27863, 4433, 636, 263, 1015, 1070, 476, 4649, 994, 1038, 1582, 27863, 4433, 636, 263, 1839, 1070, 476, 23283, 994, 1038, 1582, 27863, 4433, 636, 263, 2004, 1070, 476, 14096, 276, 994, 1038, 1582, 27863, 4433, 636, 263, 1911, 1070, 476, 31746, 271, 9239, 825, 476, 10310, 5992, 2971, 7462, 454, 825, 1948, 9046, 476, 274, 454, 825, 476, 10310, 5992, 2971, 7462, 454, 825, 1219, 1449, 4671, 4920, 2821, 4311, 2187, 1038, 1582, 27863, 6025, 4920, 2821, 31912, 272, 14963, 1070, 20886, 272, 316, 7481, 1038, 1582, 27863, 6025, 4920, 2821, 31912, 272, 267, 273, 14963, 1070, 20886, 272, 25662, 273, 316, 7481, 1038, 1582, 27863, 6025, 4920, 2821, 31912, 272, 267, 273, 267, 274, 25662, 275, 267, 276, 267, 277, 25662, 278, 267, 279, 267, 280, 14963, 1070, 20886, 272, 267, 275, 267, 278, 25662, 273, 267, 276, 267, 279, 25662, 274, 267, 277, 267, 280, 14963, 2020, 692, 825, 476, 10310, 5992, 2971, 7462, 454, 825, 1948, 9046, 476, 275, 454, 825, 476, 10310, 5992, 2971, 7462, 454, 825, 1219, 1449, 318, 15710, 743, 22470, 4311, 2187, 1038, 1582, 27863, 263, 15710, 743, 22470, 9230, 272, 267, 272, 32140, 272, 267, 272, 24270, 476, 271, 994, 1038, 1582, 27863, 263, 1037, 263, 15710, 743, 22470, 263, 8987, 272, 267, 910, 272, 1070, 630, 272, 267, 476, 272, 24270, 273, 1070, 476, 273, 269, 10695, 994, 1038, 1582, 27863, 263, 15710, 743, 22470, 9230, 272, 267, 272, 267, 273, 32140, 272, 267, 272, 267, 272, 24270, 476, 272, 994, 1038, 1582, 27863, 263, 1037, 263, 15710, 743, 22470, 9230, 272, 267, 273, 267, 274, 32140, 274, 267, 273, 267, 272, 24270, 476, 273, 1070, 476, 273, 269, 10695, 2020, 692, 825, 476, 10310, 5992, 2971, 7462, 454, 825, 1948, 9046, 476, 276, 454, 825, 476, 10310, 5992, 2971, 7462, 692, 825, 1219, 1449, 23544, 301, 3941, 4311, 2187, 1038, 1582, 27863, 4433, 636, 301, 3941, 263, 11966, 263, 272, 267, 314, 8079, 1070, 272, 994, 1038, 1582, 27863, 4433, 636, 301, 3941, 263, 11966, 263, 272, 267, 314, 11966, 263, 273, 267, 314, 25818, 11966, 263, 274, 267, 314, 11966, 263, 275, 267, 314, 11966, 263, 276, 267, 314, 25818, 11966, 263, 277, 267, 314, 11966, 263, 278, 267, 314, 8079, 8079, 8079, 8079, 8079, 1070, 476, 2764, 994, 1038, 1582, 27863, 4433, 636, 301, 3941, 13434, 263, 11966, 263, 272, 267, 314, 8079, 1070, 272, 994, 1038, 1582, 27863, 4433, 636, 301, 3941, 13434, 263, 11966, 263, 272, 267, 314, 11966, 263, 273, 267, 314, 25818, 11966, 263, 274, 267, 314, 11966, 263, 275, 267, 314, 11966, 263, 276, 267, 314, 25818, 11966, 263, 277, 267, 314, 11966, 263, 278, 267, 314, 8079, 8079, 8079, 8079, 8079, 1070, 476, 2764, 9239, 825, 476, 10310, 5992, 2971, 7462, 454, 825, 1948, 9046, 476, 277, 454, 825, 476, 10310, 5992 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2160, 540, 18096, 781, 11020, 4659, 543, 2160, 11671, 17595, 12278, 4659, 563, 3080, 540, 22006, 781, 6009, 568, 547, 948, 10038, 3929, 6114, 269, 19881, 1382, 814, 2404, 2539, 2157, 540, 519, 9449, 609, 11838, 267, 918, 32121, 1767, 269, 4107, 5061, 1031, 547, 1521, 11838, 960, 998, 519, 22006, 1062, 563, 298, 32121, 543, 1010, 9164, 723, 17695, 1242, 602, 607, 22006, 2157, 2333, 609, 15038, 267, 519, 1981, 585, 3384, 11838, 11527, 8460, 563, 10454, 2856, 568, 602, 952, 707, 2589, 616, 593, 519, 8473, 1467, 540, 4791, 11838, 4534, 621, 781, 7133, 707, 1920, 1272, 543, 707, 4081, 1272, 4534, 519, 2360, 540, 1164, 15820, 616, 6225, 2437, 918, 32121, 1767, 563, 3383, 267, 1058, 3237, 538, 1970, 268, 2391, 2829, 3640, 909, 741, 11838, 3214, 543, 1305, 856, 585, 513, 27743, 13738, 1164, 286, 3502, 8209, 267, 918, 32121, 3773, 563, 257, 6546, 2186, 540, 1360, 1272, 19145, 4791, 16252, 267, 649, 2811, 711, 972, 2943, 2437, 646, 1767, 269, 834, 2171, 2811, 1175, 6998, 519, 2243, 693, 713, 1448, 4799, 298, 32121, 3085, 1405, 1256, 4363, 9683, 4025, 899, 18096, 610, 21600, 9003, 547, 1294, 2436, 519, 1164, 15820, 666, 9797, 1860, 606, 11838, 4819, 269, 3807, 519, 3209, 1399, 540, 1373, 538, 519, 10239, 610, 1373, 593, 16314, 267, 2059, 609, 519, 3606, 2168, 2534, 3238, 267, 2693, 1131, 2087, 513, 1126, 781, 2589, 267, 646, 1767, 563, 763, 1382, 729, 3370, 2228, 538, 519, 4750, 540, 23206, 15136, 563, 25899, 2433, 14451, 16816, 3363, 2276, 5620, 23225, 518, 8866, 2060, 11838, 267, 5530, 32672, 1023, 0, 288, 8902, 3232, 2732, 1797, 513, 8902, 1560, 543, 2247, 282, 596, 1522, 581, 14281, 676, 519, 3017, 513, 1434, 2732, 666, 1118, 538, 707, 1272, 269, 13397, 10234, 2732, 527, 2103, 543, 6484, 1235, 666, 948, 596, 2087, 519, 2298, 540, 707, 16098, 543, 1426, 3232, 563, 6624, 1004, 798, 711, 723, 2614, 3940, 538, 741, 2732, 5103, 875, 1271, 621, 568, 547, 1434, 1072, 269, 19871, 568, 1336, 538, 24113, 7423, 267, 9269, 543, 21429, 269, 623, 1251, 543, 9269, 616, 824, 1390, 2959, 269, 19871, 2306, 596, 1745, 2407, 543, 11226, 519, 2208, 540, 4887, 538, 707, 1560, 267, 1818, 621, 835, 540, 519, 1034, 1271, 5567, 547, 8532, 1282, 1022, 2732, 563, 2691, 8939, 1426, 585, 519, 1655, 6484, 267, 3442, 3688, 607, 2147, 547, 741, 3312, 1533, 607, 596, 666, 269, 1133, 15263, 539, 267, 4195, 1426, 568, 519, 4998, 1259, 547, 1118, 2386, 602, 782, 707, 9422, 2115, 616, 1558, 1247, 4227, 6464, 543, 13311, 9600, 563, 288, 1697, 2732, 3340, 513, 6190, 2179, 540, 10775, 1993, 15442, 514, 269, 898, 779, 2877, 547, 25793, 1662, 519, 1648, 689, 519, 19719, 267, 3170, 543, 3940, 1336, 538, 519, 1560, 269, 898, 779, 849, 2877, 585, 513, 2635, 10307, 543, 547, 3560, 4401, 269, 2368, 2959, 540, 10775, 1993, 15442, 514, 1331, 2898, 9274, 543, 10683, 2472, 563, 2691, 596, 2253, 547, 1745, 2407, 798, 711, 3548, 15042, 269, 901, 786, 1118, 596, 711, 1142, 865, 1454, 267, 543, 621, 6645, 707, 1560, 602, 621, 779, 942, 547, 1376, 7558, 532, 519, 1426, 269, 14856, 2394, 13854, 849, 2337, 596, 581, 519, 20148, 540, 707, 1426, 267, 3079, 540, 519, 824, 1259, 1472, 563, 11754, 513, 1617, 643, 9559, 547, 707, 2732, 547, 1205, 519, 1655, 6484, 269, 4014, 2067, 3536, 616, 2141, 9120, 547, 9360, 585, 8324, 543, 6886, 267, 596, 2760, 917, 950, 596, 4465, 1406, 8532, 2614, 540, 873, 593, 513, 2016, 1554, 563, 2521, 547, 3500, 1524, 693, 6980, 269, 3509, 1004, 616, 11112, 543, 789, 723, 3323, 4189, 5488, 269, 6875, 707, 942, 21400, 707, 1426, 267, 543, 1810, 1406, 575, 592, 335, 707, 1426, 1524, 269, 2142, 20982, 543, 521, 2948, 519, 1426, 269, 901, 666, 1118, 596, 1745, 2407, 18334, 269, 1411, 786, 849, 711, 4043, 547, 31952, 805, 1310, 596, 3914, 2407, 1145, 563, 309, 776, 707, 2732, 950, 621, 2501, 547, 5779, 267, 3132, 543, 9274, 269, 1879, 596, 8532, 513, 3099, 540, 3536, 267, 621, 4679, 707, 8458, 540, 3478, 782, 519, 5567, 596, 991, 689, 2470, 563, 2026, 5227, 676, 14468, 6484, 1235, 267, 3165, 568, 606, 5140, 4244, 547, 14132, 267, 20230, 543, 16738, 269, 12551, 568, 2635, 543, 3568, 15060, 268, 274, 9761, 7408, 267, 1336, 538, 2090, 547, 581, 6225, 585, 519, 2295, 543, 30057, 1062, 269, 1703, 4465, 1406, 581, 1022, 8373, 4466, 513, 1826, 540, 3165, 602, 596, 899, 267, 607, 972, 616, 1082, 547, 3442, 689, 563, 3086, 602, 596, 1224, 519, 1657, 2376, 267, 596, 1058, 723, 606, 1620, 540, 519, 1114, 2010, 540, 6484, 602, 568, 2877, 547, 948, 596, 6336, 2597, 543, 4339, 1055, 1346, 23487, 539, 10108, 269, 1635, 4189, 1134, 267, 596, 2087, 707, 1560, 779, 2702, 547, 1599, 693, 513, 1164, 1377, 269, 0, 288, 755, 6319, 547, 2932, 3406, 585, 5728, 13303, 6046, 14049, 8047, 6456, 18284, 5834, 3786, 1950, 454, 268, 3367, 902, 693, 3135, 540, 717, 639, 523, 3786, 2282, 853, 31869, 2102, 1397, 11506, 2157, 540, 20879, 910, 23053, 540, 1016, 614, 10328, 5579, 657, 687, 5722, 5756, 3516, 454, 268, 476, 1428, 5195, 540, 25310, 9114, 896, 717, 639, 523, 267, 513, 1016, 2275, 2086, 540, 631, 2246, 27346, 523, 1141, 9937, 540, 5215, 540, 1004, 941, 23689, 454, 268, 15391, 547, 1265, 2963, 540, 10570, 1382, 1310, 17245, 676, 27055, 553, 590, 592, 10045, 796, 333, 5703, 17137, 454, 288, 755, 6929, 8128, 723, 10288, 513, 3406, 540, 5728, 25310, 9944, 513, 5449, 5834, 3786, 1950, 1141, 13303, 3744, 616, 5156, 547, 723, 5342, 6046, 1382, 538, 513, 19915, 547, 1628, 606, 10570, 10514, 563, 763, 16785, 729, 15427, 676, 513, 7641, 17245, 799, 15600, 29053, 21517, 5627, 23039, 29251, 543, 2363, 1168, 5893, 6589, 540, 9992, 4842, 8942, 547, 10726, 519, 4892, 538, 519, 5198, 585, 519, 14049, 547, 3094, 519, 2112, 563, 4517, 5063, 267, 13220, 941, 3144, 540, 519, 1858, 693, 853, 31869, 2102, 6029, 11506, 2157, 540, 20879, 910, 23053, 540, 1016, 614, 10328, 5579, 657, 687, 5722, 5756, 3516, 563, 5649, 902, 3144, 693, 519, 3135, 540, 519, 717, 639, 523, 5834, 3786, 2282, 853, 31869, 2102, 267, 15212, 1397, 11506, 2157, 540, 20879, 910, 23053, 540, 1016, 614, 10328, 5579, 657, 687, 5722, 5756, 3516, 269, 1703, 616, 476, 1428, 5195, 540, 25310, 896, 717, 639, 523, 267, 513, 1016, 2275, 2086, 540, 631, 2246, 27346, 523, 630, 629, 913, 264, 1141, 9937, 540, 5215, 540, 1004, 941, 23689, 454, 1103, 5130, 476, 3707, 275, 267, 930, 476, 26604, 31852, 540, 631, 2246, 27346, 523, 941, 3144, 689, 519, 3786, 547, 7404, 853, 31869, 2102, 547, 2253, 519, 4070, 540, 5728, 26847, 269, 1635, 5437, 602, 1032, 267, 476, 736, 267, 1822, 856, 540, 476, 2412, 267, 1822, 10553, 2978, 537, 516, 3464, 31751, 538, 547, 1628, 519, 25310, 1185, 1044, 5249, 547, 2669, 269, 630, 17572, 4605, 540, 5834, 3786, 31852, 994, 763, 476, 1428, 5195, 540, 25310, 9114, 896, 519, 7404, 717, 639, 523, 5834, 3786, 3135, 267, 513, 1016, 2275, 2086, 540, 519, 29200, 631, 2246, 27346, 523, 1141, 9937, 540, 5215, 540, 1004, 941, 23689, 563, 4263, 835, 942, 267, 476, 2412, 267, 1822, 10553, 2978, 537, 516, 3464, 547, 6150, 538, 519, 25310, 1818, 2112, 9604, 267, 1519, 11619, 619, 577, 18283, 8484, 563, 3719, 1631, 519, 6968, 568, 593, 547, 1265, 2963, 540, 10570, 1382, 1310, 513, 17245, 676, 4670, 20447, 27055, 553, 590, 592, 10045, 593, 13609, 781, 1391, 585, 4898, 32734, 777, 976, 9944, 519, 32423, 13738, 796, 333, 5703, 17137, 563, 763, 2199, 6392, 814, 2907, 6170, 11278, 1015, 267, 1822, 593, 16861, 19707, 540, 519, 15993, 1062, 543, 568, 1631, 5275, 547, 27043, 513, 2319, 540, 3486, 4966, 563, 3080, 554, 2416, 1729, 5728, 11895, 16004, 23346, 1336, 676, 24232, 9196, 3457, 5828, 909, 606, 8900, 2230, 27548, 1100, 10881, 607, 547, 1018, 621, 1522, 723, 1044, 1031, 585, 563, 2252, 519, 22341, 3135, 1281, 11904, 909, 6169, 540, 6046, 1382, 267, 12206, 949, 2943, 723, 547, 27682, 519, 2063, 11271, 540, 24918, 547, 1397, 875, 2673, 13609, 1522, 723, 2097, 547, 10888, 621, 454, 17556, 325, 534, 10127, 1676, 267, 513, 12021, 14787, 693, 519, 2160, 540, 3400, 345, 543, 2212, 540, 513, 4655, 1382, 20576, 267, 568, 1818, 1010, 1378, 29622, 538, 519, 1858, 538, 519, 3661, 602, 2030, 543, 12227, 1644, 547, 6046, 1382, 1522, 581, 1336, 563, 306, 592, 10045, 22646, 21517, 538, 5125, 267, 18293, 543, 3013, 585, 2963, 540, 519, 590, 2529, 11607, 1194, 562, 8123, 2679, 1788, 563, 3891, 4362, 602, 593, 5130, 476, 273, 267, 476, 3707, 275, 267, 930, 476, 26604, 31852, 540, 631, 2246, 27346, 523, 941, 3144, 689, 519, 3786, 547, 853, 31869, 2102, 547, 2253, 519, 4070, 540, 5728, 26847, 563, 3528, 5437, 602, 1032, 267, 476, 736, 267, 1822, 856, 540, 476, 2412, 267, 1822, 10553, 2978, 537, 516, 3464, 31751, 538, 547, 1628, 519, 25310, 1185, 1044, 5249, 547, 2669, 563, 5475, 519, 2112, 267, 15212, 6170, 930, 11278, 1015, 332, 11669, 538, 26311, 6405, 883, 1034, 540, 519, 25310, 563, 3719, 590, 592, 10045, 543, 1010, 1394, 619, 3494, 789, 14406, 513, 5728, 3296, 1141, 519, 10570, 1382, 729, 5342, 563, 763, 7737, 328, 1115, 941, 6728, 539, 538, 853, 31869, 2102, 2394, 476, 4198, 276, 543, 789, 3576, 782, 540, 519, 6119, 593, 519, 3135, 1394, 609, 873, 547, 18293, 563, 1103, 5130, 476, 4350, 280, 267, 8370, 3275, 1354, 519, 12176, 540, 519, 2112, 267, 4436, 2447, 1235, 32572, 670, 23167, 630, 335, 1112, 3293, 264, 543, 674, 761, 345, 5899, 817, 10458, 3370, 519, 2164, 540, 513, 8978, 4603, 827, 6046, 31612, 454, 32546, 616, 3843, 547, 3605, 952, 972, 568, 513, 3095, 1063, 853, 31869, 2102, 543, 4609, 538, 5125, 1697, 1141, 3744, 941, 19632, 1282, 519, 12059, 25415, 538, 513, 19915, 547, 6474, 1977, 3646, 547, 1628, 519, 10700, 14049, 563, 1103, 4873, 476, 1001, 272, 267, 10570, 3653, 689, 13609, 781, 5728, 6046, 10872, 729, 5156, 547, 723, 1044, 1336, 538, 606, 2025, 9553, 2282, 12390, 1478, 563, 5415, 982, 476, 14695, 267, 1822, 29054, 540, 6046, 1570, 9114, 4232, 1154, 936, 476, 273, 267, 1822, 3952, 2630, 2666, 538, 606, 2025, 6070, 9553, 563, 305, 636, 712, 814, 621, 602, 519, 3788, 540, 6046, 3744, 945, 5249, 593, 519, 13303, 10872, 616, 849, 972, 267, 741, 23735, 7007, 4703, 14616, 538, 5728, 676, 590, 2529, 269, 2367, 2220, 1941, 547, 9658, 1097, 563, 763, 2219, 540, 13303, 10570, 10514, 1570, 6740, 11895, 1500, 24657, 2066, 5125, 543, 519, 2197, 781, 5682, 701, 864, 3350, 20483, 513, 1289, 585, 5728, 6054, 11341, 547, 519, 29746, 547, 581, 5950, 547, 519, 1533, 14618, 689, 20177, 21517, 538, 12670, 269, 1809, 789, 2611, 5728, 563, 2005, 729, 538, 5130, 540, 476, 4350, 280, 267, 8370, 3275, 1354, 519, 12176, 540, 519, 5822, 2622, 2782, 267, 602, 4436, 2447, 1235, 32572, 670, 23167, 543, 674, 761, 345, 5899, 817, 10458, 3370, 519, 2164, 540, 513, 8978, 4603, 827, 6046, 31612, 563, 763, 4436, 1412, 584, 13203, 1788, 262, 3459, 538, 7118, 652, 16172, 1310, 5125, 779, 12289, 540, 12996, 538, 5181, 563, 6635, 3240, 21997, 918, 4669, 12603, 321, 1676, 3366, 513, 2319, 25461, 547, 8495, 519, 4108, 3156, 540, 31612, 563, 3528, 519, 1439, 540, 519, 1032, 267, 519, 21997, 654, 518, 1676, 1261, 17470, 6199, 1185, 7229, 602, 6046, 31612, 5832, 6547, 1522, 581, 2009, 563, 7212, 519, 2112, 554, 2086, 1229, 741, 960, 267, 676, 519, 2887, 540, 519, 12059, 25415, 538, 476, 3707, 276, 267, 13303, 3744, 1185, 6913, 513, 1713, 23918, 538, 5439, 540, 20879, 563, 2252, 519, 22341, 3135, 1281, 11904, 909, 6169, 540, 6046, 1382, 267, 12206, 949, 2943, 723, 547, 27682, 519, 2063, 11271, 540, 24918, 547, 1397, 875, 2673, 13609, 1522, 723, 2097, 547, 10888, 621, 563, 7197, 14478, 5240, 7044, 454, 268, 1412, 296, 6415, 971, 513, 1114, 1268, 262, 13690, 918, 1835, 625, 936, 8303, 3775, 25053, 454, 268, 7689, 4121, 286, 17318, 512, 13550, 8709, 9920, 585, 5969, 20313, 454, 268, 19468, 3700, 519, 2915, 543, 631, 3805, 519, 3032, 1491, 1142, 824, 593, 538, 1412, 7901, 532, 7055, 268, 25511, 15833, 4862, 1282, 7128, 5106, 593, 2777, 538, 4024, 525, 6577, 454, 268 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9921, 323, 30147, 3217, 827, 476, 274, 3275, 9789, 18477, 27081, 15854, 1470, 814, 606, 2937, 2450, 540, 476, 272, 10759, 538, 3259, 269, 1358, 666, 1205, 607, 1804, 607, 476, 272, 269, 276, 6279, 563, 1607, 1507, 1560, 568, 1946, 789, 616, 9286, 607, 513, 24519, 3165, 269, 1358, 798, 1655, 538, 1804, 2516, 269, 12339, 2297, 543, 9038, 8428, 5594, 538, 2450, 267, 609, 8951, 1373, 5594, 3677, 563, 1692, 7043, 1684, 22966, 17155, 23421, 8355, 1470, 14970, 888, 1103, 24811, 267, 609, 3617, 2175, 24458, 267, 519, 3328, 18477, 27081, 15854, 1470, 666, 581, 4397, 547, 2661, 693, 2547, 476, 274, 1296, 267, 543, 513, 5021, 540, 476, 276, 1296, 269, 6145, 1082, 824, 15195, 3165, 267, 18477, 15090, 3149, 4431, 14605, 547, 2566, 543, 16283, 610, 18633, 1216, 2175, 269, 7743, 1416, 267, 2732, 267, 543, 513, 1970, 2566, 1604, 786, 3565, 547, 513, 3476, 14438, 563, 307, 655, 704, 3512, 543, 11314, 5426, 454, 29727, 25404, 678, 553, 4011, 553, 616, 6140, 9602, 267, 12560, 3165, 945, 2648, 547, 7669, 1927, 538, 2516, 267, 543, 789, 616, 8049, 17701, 607, 1134, 269, 4014, 789, 616, 711, 18375, 3165, 607, 1082, 4636, 569, 1589, 540, 873, 267, 18477, 27081, 15854, 3930, 616, 6157, 1360, 1514, 267, 543, 596, 1058, 2832, 547, 723, 693, 2547, 476, 277, 268, 278, 540, 891, 3083, 625, 538, 835, 7382, 563, 2691, 789, 782, 7669, 1927, 267, 621, 5932, 513, 3649, 591, 532, 267, 1257, 3293, 1198, 3330, 519, 16983, 602, 568, 5963, 15813, 547, 1531, 1245, 269, 1717, 267, 2899, 789, 1376, 3478, 1031, 547, 741, 7382, 267, 789, 899, 7836, 942, 6306, 689, 519, 1895, 607, 1134, 563, 763, 1152, 6161, 950, 621, 2501, 547, 519, 2623, 610, 29525, 540, 519, 14925, 678, 553, 4011, 320, 568, 1644, 547, 741, 3023, 269, 898, 779, 1271, 547, 2995, 5256, 543, 4775, 27081, 15854, 3930, 6306, 1317, 513, 1804, 1297, 540, 9038, 1522, 2014, 513, 1966, 563, 1607, 568, 1317, 9038, 7683, 6370, 936, 8951, 267, 799, 19890, 2164, 538, 5945, 610, 267, 538, 519, 10782, 2665, 267, 1256, 2669, 269, 1306, 971, 267, 596, 1058, 1832, 7864, 5256, 8713, 17762, 538, 707, 16983, 982, 8951, 563, 1432, 3657, 6153, 26653, 631, 919, 585, 22966, 17155, 23421, 8355, 1470, 888, 763, 1655, 7382, 29982, 585, 513, 8713, 291, 616, 1866, 540, 741, 2186, 269, 1411, 1058, 2832, 547, 1832, 693, 2547, 476, 276, 268, 278, 540, 891, 3165, 538, 519, 7382, 607, 789, 616, 513, 1514, 2249, 602, 2648, 10977, 1927, 563, 2171, 2566, 2899, 1586, 602, 621, 779, 1360, 1271, 547, 1832, 519, 1297, 540, 4775, 24991, 2362, 982, 9038, 267, 607, 2348, 1932, 1082, 540, 519, 8545, 949, 1291, 547, 1102, 18017, 585, 17282, 563, 302, 9405, 547, 741, 2450, 267, 519, 18477, 27081, 15854, 1470, 849, 1281, 1134, 538, 24519, 13688, 609, 824, 12560, 3165, 540, 519, 1482, 2450, 267, 971, 607, 1368, 653, 625, 543, 19440, 15067, 6652, 563, 1103, 1249, 267, 952, 596, 1745, 602, 707, 8713, 17762, 616, 1454, 1932, 21183, 610, 4626, 573, 267, 10962, 824, 3165, 1522, 948, 873, 547, 1745, 811, 8746, 269, 769, 602, 1259, 267, 5078, 7382, 29982, 616, 513, 2629, 851, 540, 18477, 27081, 15854, 1470, 1416, 563, 11693, 602, 14925, 678, 553, 4011, 553, 899, 547, 19582, 519, 1647, 540, 519, 7382, 267, 649, 4363, 11423, 519, 7382, 609, 824, 2249, 945, 3251, 2282, 519, 1283, 563, 14187, 22966, 17155, 23421, 8355, 1470, 26653, 631, 919, 454, 4415, 519, 1657, 2175, 538, 2247, 267, 519, 1739, 1118, 1390, 7382, 29982, 585, 891, 15854, 3930, 912, 268, 31679, 6652, 630, 10585, 267, 900, 828, 610, 3039, 994, 268, 595, 800, 9697, 8127, 454, 268, 631, 14709, 12551, 454, 268, 7736, 2401, 779, 2661, 2041, 13145, 454, 268, 589, 2006, 334, 1744, 18276, 454, 268, 22216, 787, 1744, 18276, 454, 2791, 786, 5469, 602, 782, 540, 891, 2249, 616, 1507, 267, 1175, 899, 519, 14925, 678, 553, 4011, 320, 269, 5457, 267, 952, 596, 6430, 547, 1747, 865, 1082, 1507, 3165, 1927, 267, 596, 723, 547, 1118, 11941, 547, 519, 16983, 2450, 9935, 269, 9540, 3165, 899, 713, 849, 22937, 1134, 547, 12630, 13688, 543, 6864, 2444, 16747, 607, 519, 1507, 2450, 2306, 873, 513, 851, 540, 519, 1085, 1901, 8957, 519, 13686, 269, 4107, 6864, 2444, 16747, 616, 782, 827, 519, 1374, 269, 634, 3165, 616, 513, 851, 540, 519, 4062, 865, 4130, 3165, 960, 1134, 609, 713, 2511, 540, 16983, 5329, 563, 293, 880, 15661, 547, 3680, 454, 2005, 779, 1360, 1271, 547, 3442, 1152, 7382, 29982, 945, 616, 540, 519, 1482, 2450, 607, 707, 27081, 15854, 3930, 269, 4634, 952, 789, 616, 3622, 12560, 267, 1022, 3165, 3648, 3677, 982, 18477, 27081, 15854, 3930, 1522, 3548, 873, 269, 3502, 547, 2446, 267, 972, 786, 581, 6735, 585, 1426, 563, 2791, 1058, 11613, 2057, 8380, 707, 14925, 678, 553, 4011, 553, 538, 609, 1022, 10728, 3165, 267, 971, 607, 522, 2675, 1513, 267, 524, 747, 331, 1749, 267, 610, 10793, 1629, 335, 572, 903, 269, 1452, 3165, 786, 25747, 15165, 593, 543, 3548, 707, 17028, 7458, 8355, 3930, 563, 8448, 3165, 945, 949, 711, 3548, 873, 267, 949, 581, 536, 6139, 1042, 676, 519, 546, 2416, 532, 2470, 540, 891, 3165, 269, 20405, 3001, 3165, 899, 5975, 3279, 12551, 1419, 32692, 609, 8355, 3930, 1813, 547, 741, 2470, 269, 789, 849, 1810, 1406, 14526, 1134, 585, 1426, 563, 1432, 1684, 22966, 17155, 23421, 8355, 3930, 16202, 888, 2026, 789, 616, 9631, 16622, 2803, 267, 18477, 15090, 3149, 786, 3548, 3592, 4376, 538, 519, 3552, 269, 1358, 2356, 2648, 2371, 543, 13479, 607, 1134, 607, 18186, 25762, 543, 1522, 8532, 1507, 23787, 3630, 525, 585, 3940, 563, 1103, 24811, 267, 789, 1491, 1134, 547, 11326, 540, 26005, 543, 1166, 1389, 267, 855, 891, 1058, 581, 540, 1164, 2298, 269, 3502, 547, 2446, 267, 519, 26005, 270, 4148, 1389, 1058, 581, 1507, 2614, 602, 789, 666, 3514, 3362, 538, 519, 6263, 28182, 540, 707, 27081, 15854, 3930, 563, 5445, 899, 4189, 693, 4571, 2389, 1678, 2157, 267, 865, 2119, 547, 3442, 26005, 543, 1166, 1389, 602, 4465, 1406, 16173, 865, 3362, 563, 1432, 6168, 14970, 16639, 888, 290, 601, 17155, 27081, 15854, 3930, 786, 3548, 2661, 1426, 596, 2285, 873, 267, 971, 607, 2661, 4816, 1490, 710, 20544, 267, 737, 18115, 267, 546, 7469, 11844, 267, 4779, 2088, 267, 3043, 17494, 267, 543, 20836, 531, 17494, 269, 31530, 7999, 7814, 3591, 543, 13792, 4816, 1490, 710, 849, 1118, 1390, 16152, 585, 873, 543, 948, 596, 547, 1683, 513, 7059, 2732, 563, 1692, 13518, 543, 1215, 10705, 547, 16376, 888, 9573, 17762, 1058, 581, 10480, 476, 274, 547, 476, 275, 2053, 513, 1554, 267, 855, 596, 1058, 1118, 621, 513, 1448, 547, 2285, 873, 1507, 5666, 540, 1426, 1169, 942, 269, 901, 11151, 936, 16567, 610, 1426, 729, 5653, 543, 8952, 519, 1216, 2298, 2973, 563, 2005, 779, 849, 1271, 547, 4783, 519, 1426, 596, 2285, 547, 707, 14925, 678, 553, 4011, 553, 269, 901, 786, 2327, 602, 789, 2661, 3476, 543, 11677, 741, 7524, 7801, 2429, 741, 2729, 563, 306, 15036, 3116, 596, 991, 547, 917, 827, 891, 2370, 16921, 568, 602, 789, 616, 12155, 547, 2566, 269, 1656, 950, 713, 4523, 267, 621, 786, 1860, 741, 4189, 6208, 563, 3383, 711, 1152, 1058, 596, 11441, 547, 2327, 2566, 6954, 2713, 2175, 585, 707, 14925, 678, 553, 4011, 553, 267, 596, 1058, 849, 4585, 873, 5702, 950, 621, 779, 8023, 942, 269, 901, 786, 1450, 596, 547, 2697, 519, 4584, 344, 610, 21183, 3548, 619, 607, 1134, 607, 519, 811, 3742, 3283, 543, 8597, 547, 741, 2115, 9935, 563, 307, 1678, 21976, 630, 1692, 547, 5590, 5455, 2659, 12551, 26653, 585, 22966, 17155, 23421, 8355, 1470, 994, 9573, 17762, 616, 5266, 2653, 547, 1416, 540, 267, 2016, 602, 596, 2327, 519, 1655, 7382, 2175, 585, 873, 269, 1452, 2370, 16921, 8853, 538, 4411, 1216, 543, 2648, 547, 723, 2371, 547, 1404, 1472, 538, 269, 3371, 779, 782, 596, 991, 547, 917, 827, 4259, 909, 513, 7382, 585, 707, 8713, 17762, 563, 2026, 649, 4076, 2907, 5018, 1657, 267, 519, 5934, 7382, 2450, 585, 476, 276, 268, 278, 18477, 27081, 15854, 3930, 568, 476, 1015, 17529, 630, 810, 827, 476, 273, 17529, 829, 3165, 1040, 901, 3947, 873, 519, 2230, 789, 991, 547, 1404, 610, 12404, 607, 789, 6999, 563, 2791, 3580, 991, 547, 2333, 519, 16983, 2450, 676, 606, 3063, 476, 1015, 17529, 585, 1169, 476, 276, 540, 891, 3165, 596, 1039, 269, 1924, 952, 596, 723, 476, 1789, 8713, 17762, 267, 596, 3580, 991, 513, 7382, 540, 693, 2547, 476, 1789, 17529, 563, 2080, 616, 519, 1880, 338, 540, 519, 8713, 291, 3165, 7382, 14764, 912, 2691, 596, 2461, 4259, 909, 513, 7382, 585, 891, 2370, 3165, 267, 621, 779, 540, 25932, 2956, 602, 596, 1331, 2371, 547, 17932, 519, 5230, 10664, 540, 741, 2067, 7226, 269, 1452, 711, 1152, 2285, 519, 3165, 7899, 540, 4730, 543, 15720, 4025, 267, 789, 849, 1118, 585, 1434, 16152, 543, 1683, 15792, 2230, 585, 9960, 630, 604, 602, 779, 835, 540, 707, 6663, 1916, 1103, 1249, 267, 519, 811, 3099, 596, 666, 1711, 538, 707, 6864, 2444, 12686, 18129, 267, 519, 1732, 585, 891, 3165, 269, 8713, 17762, 11613, 2648, 891, 5054, 269, 1924, 1810, 1406, 3180, 1394, 1765, 1331, 1022, 543, 782, 2371, 596, 6999, 547, 610, 1589, 1131, 979, 1134, 609, 707, 16983, 610, 707, 3165, 269, 18227, 2635, 267, 2566, 6954, 8713, 17762, 568, 711, 2009, 1510, 2371, 269, 1403, 596, 1616, 547, 1118, 891, 4443, 585, 596, 2015, 1970, 1648, 610, 19444, 1377, 2371, 563, 2026, 609, 2371, 267, 596, 723, 513, 2647, 3099, 540, 3681, 950, 621, 2501, 547, 519, 16983, 14041, 269, 4014, 789, 899, 10977, 827, 538, 519, 1647, 540, 519, 16983, 267, 789, 849, 4749, 3251, 2509, 519, 7382, 779, 5377, 3368, 269, 4595, 789, 1810, 1406, 2007, 267, 2705, 267, 596, 1810, 1406, 723, 547, 5855, 827, 14041, 2450, 563, 6546, 1767, 267, 707, 6074, 14041, 1058, 9148, 519, 2371, 596, 3442, 547, 1747, 538, 519, 7382, 269, 14730, 5386, 5070, 568, 513, 1434, 4781, 1934, 607, 621, 786, 1450, 707, 2371, 547, 8853, 543, 21707, 267, 799, 568, 513, 10421, 585, 5329, 707, 15854, 1470, 3165, 6126, 269, 9995, 344, 14041, 568, 849, 2653, 547, 2973, 267, 606, 3773, 4324, 563, 2791, 723, 1863, 12081, 950, 621, 2501, 547, 7446, 7718, 585, 891, 3165, 607, 1134, 269, 8713, 17762, 2648, 2348, 7850, 5624, 547, 12404, 543, 1404, 538, 267, 865, 1118, 621, 513, 1448, 547, 1331, 2067, 7718, 899, 7725, 543, 20847, 6229, 1141, 707, 3165, 666, 6001, 543, 1404, 563, 2026, 609, 1022, 824, 15195, 3165, 267, 621, 779, 540, 2629, 2956, 547, 2226, 1434, 1216, 2298, 585, 519, 1072, 540, 707, 15854, 1470, 3165, 269, 3371, 779, 1018, 596, 1058, 917, 912, 9573, 17762, 2154, 2178, 19288, 538, 741, 13688, 269, 634, 7350, 540, 713, 3165, 568, 711, 2111, 547, 6023, 1932, 1082, 14107, 538, 519, 1216, 269, 2052, 3563, 610, 1379, 12086, 1058, 960, 5386, 267, 4352, 596, 1058, 3314, 547, 3625, 29504, 13740, 609, 29008, 525, 547, 2061, 891, 6263, 3165, 689, 3478, 647, 22486, 883, 873, 269, 1358, 616, 1360, 3742, 3165, 543, 2972, 3001, 1472, 519, 7382, 269, 589, 9793, 2095, 786, 581, 2635, 585, 873, 563, 763, 3638, 10664, 1336, 538, 519, 13719, 22253, 799, 891, 2370, 3165, 9468, 2285, 519, 1216, 513, 2973, 543, 6986, 2298, 609, 1970, 7777, 543, 6070, 2157, 1547, 1452, 616, 519, 2175, 596, 1058, 2832, 547, 30712, 585, 707, 8713, 17762, 952, 596, 1616, 873, 547, 581, 6126, 543, 2566, 6954, 563, 4322, 616, 519, 2596, 5227, 1216, 6724, 585, 8713, 17762, 912, 268, 4826, 18323, 281, 476, 7761, 13790, 547, 476, 10602, 13790, 454, 268, 9063, 281, 476, 277, 269, 276, 547, 476, 278, 269, 276, 454, 268, 4826, 10434, 1145, 281, 476, 273, 1107, 476, 1015, 546, 298, 295, 454, 2026, 596, 917, 676, 1631, 267, 2921, 1416, 540, 891, 16983, 3165, 568, 7168, 2653, 267, 2016, 602, 596, 2327, 2973, 1216, 585, 873, 269, 8347, 547, 849, 1832, 2157, 540, 6491, 6233, 543, 15702, 1418, 923, 1970, 269, 5269, 2834, 1216, 2242, 563, 14818, 4826, 17148, 454, 1103, 1931, 547, 2327, 1697, 1216, 2175, 585, 707, 12748, 10130, 267, 1100, 2339, 952, 789, 2461 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7411, 4509, 1445, 585, 1360, 1279, 269, 4256, 1893, 1983, 616, 3622, 3908, 543, 741, 3206, 568, 1360, 21055, 267, 1818, 621, 2182, 585, 873, 547, 1174, 543, 1184, 3388, 596, 2161, 547, 873, 269, 15566, 2542, 454, 3528, 31434, 14880, 267, 7905, 540, 4521, 693, 3345, 3518, 6319, 2160, 267, 1715, 31069, 563, 4415, 10430, 1305, 547, 1831, 519, 1101, 5177, 2197, 547, 1118, 621, 10363, 547, 1159, 871, 1453, 267, 519, 7521, 814, 8118, 909, 827, 2436, 519, 1964, 540, 519, 5177, 1058, 1246, 9290, 563, 1432, 568, 519, 7351, 4521, 593, 3911, 22326, 888, 763, 1699, 4031, 538, 6628, 2221, 10238, 527, 4079, 689, 1159, 22326, 267, 11319, 610, 695, 8221, 824, 4079, 269, 1358, 849, 2149, 10130, 689, 5208, 269, 1717, 267, 3237, 616, 4847, 547, 946, 2168, 3196, 547, 19439, 741, 1453, 267, 3177, 519, 10751, 1281, 711, 15583, 622, 3564, 2048, 516, 32208, 10751, 17483, 1103, 4789, 543, 12986, 267, 896, 3296, 476, 6812, 540, 519, 5753, 2920, 476, 1220, 275, 267, 3237, 945, 616, 15034, 540, 4929, 2920, 783, 26636, 1176, 15053, 547, 741, 1453, 3112, 1045, 5803, 519, 20237, 540, 10257, 10751, 952, 741, 1159, 2931, 2014, 2790, 2800, 267, 20015, 2358, 267, 31153, 610, 23551, 2287, 540, 519, 2960, 269, 15566, 2542, 454, 2691, 721, 607, 4079, 23294, 1047, 267, 938, 1453, 1294, 713, 607, 721, 1373, 4023, 543, 602, 649, 616, 3843, 547, 1174, 543, 6432, 547, 873, 563, 3528, 14732, 717, 9529, 19431, 267, 8227, 540, 29007, 3689, 13693, 3599, 563, 1692, 1082, 2053, 798, 649, 2307, 938, 1453, 547, 2161, 789, 616, 20994, 286, 1215, 1082, 2053, 798, 649, 2048, 24708, 685, 1453, 23294, 1047, 585, 1945, 789, 723, 1767, 610, 2944, 286, 1809, 1018, 827, 4079, 888, 3719, 621, 1419, 2501, 856, 538, 606, 1202, 1550, 516, 1259, 267, 3085, 1406, 621, 286, 1358, 1810, 1406, 2731, 1611, 621, 267, 1317, 789, 723, 1044, 5143, 547, 2161, 621, 563, 2026, 513, 2385, 543, 513, 4116, 267, 594, 2141, 2048, 2532, 685, 1453, 547, 2161, 20994, 267, 4352, 594, 31274, 593, 2921, 621, 513, 1900, 2417, 269, 594, 2307, 1453, 547, 581, 1808, 269, 590, 11691, 20994, 568, 2653, 543, 3085, 1406, 2731, 1611, 4376, 952, 621, 779, 711, 5532, 547, 1018, 596, 616, 20994, 585, 563, 2691, 1453, 616, 1808, 609, 741, 3284, 1108, 267, 789, 616, 2965, 3206, 827, 1018, 789, 723, 2944, 543, 2436, 621, 729, 513, 1434, 3903, 563, 3383, 267, 585, 1383, 267, 968, 296, 6557, 20994, 585, 18644, 25381, 609, 1250, 15513, 2013, 3034, 3719, 1018, 827, 4079, 286, 9701, 649, 23294, 1047, 547, 938, 1453, 950, 649, 1205, 621, 4636, 286, 15566, 2542, 454, 14399, 11116, 585, 1114, 4128, 269, 898, 666, 581, 3361, 676, 4376, 689, 10845, 610, 17140, 547, 30627, 267, 30983, 610, 18354, 563, 3528, 14732, 717, 9529, 19431, 1107, 15474, 29007, 13693, 656, 1299, 9977, 532, 3213, 778, 563, 18455, 513, 2385, 3884, 1406, 2653, 585, 4896, 267, 855, 2348, 513, 1126, 945, 17486, 2306, 621, 782, 519, 811, 4101, 269, 898, 779, 19849, 23035, 543, 666, 1291, 547, 596, 543, 707, 1126, 1373, 16934, 689, 1404, 30098, 543, 6105, 269, 898, 786, 4440, 1745, 899, 707, 1126, 786, 2760, 1689, 741, 7180, 269, 1809, 621, 666, 581, 2944, 269, 4132, 7180, 4274, 14732, 717, 9529, 19431, 6941, 875, 7498, 296, 1101, 11402, 6689, 24146, 950, 1250, 5067, 729, 827, 476, 273, 16006, 1296, 2025, 269, 1284, 941, 693, 513, 22525, 1895, 1141, 519, 544, 4548, 941, 10004, 1154, 25747, 543, 519, 1453, 4730, 23182, 269, 22582, 267, 519, 4708, 729, 695, 13593, 676, 10978, 3458, 5446, 269, 589, 1126, 3357, 4881, 547, 1010, 544, 636, 6031, 602, 835, 540, 519, 6690, 1185, 3787, 1084, 1864, 269, 1261, 4951, 721, 1010, 6186, 1107, 609, 17386, 4522, 7436, 267, 6505, 2699, 543, 2907, 609, 513, 20015, 1047, 8108, 563, 4263, 519, 942, 267, 594, 3314, 1373, 28280, 543, 27337, 1881, 269, 968, 1692, 1223, 513, 1126, 798, 602, 9495, 594, 2219, 267, 968, 1692, 1223, 741, 544, 636, 1577, 873, 798, 602, 9495, 30003, 6114, 267, 3168, 1394, 1631, 269, 1809, 621, 729, 1776, 7008, 540, 1296, 1354, 594, 1483, 2213, 602, 621, 2731, 7012, 1406, 602, 2241, 7498, 2691, 938, 2034, 1126, 729, 1175, 936, 513, 1032, 2025, 267, 1352, 3323, 547, 11116, 269, 634, 1101, 942, 621, 5949, 267, 649, 941, 593, 9702, 543, 649, 941, 4947, 547, 519, 1439, 540, 513, 1187, 1554, 2348, 10150, 930, 1483, 267, 2298, 1920, 942, 269, 15566, 2542, 454, 3528, 590, 23439, 331, 2088, 14639, 699, 1777, 454, 2691, 649, 7832, 593, 938, 15970, 3460, 267, 649, 616, 16207, 1360, 1454, 538, 693, 519, 2620, 1439, 269, 3509, 540, 721, 1745, 16397, 543, 938, 3347, 616, 7318, 547, 519, 7182, 269, 1284, 2461, 3478, 547, 917, 713, 10475, 2370, 1268, 945, 568, 4657, 938, 1158, 1107, 855, 649, 616, 849, 1565, 513, 1390, 4308, 827, 6000, 563, 2171, 4076, 16545, 1018, 938, 1126, 786, 581, 899, 267, 1018, 4990, 540, 3237, 649, 1616, 547, 581, 543, 849, 3182, 3293, 1018, 1272, 607, 513, 1920, 1131, 581, 899, 269, 3973, 607, 789, 12446, 267, 519, 942, 585, 4058, 1419, 13515, 543, 649, 4166, 1831, 19535, 267, 3274, 3257, 938, 1655, 547, 11883, 563, 3719, 2348, 513, 4816, 568, 1152, 855, 519, 1376, 540, 2348, 513, 1920, 269, 1656, 538, 1250, 2247, 267, 513, 1390, 2528, 568, 519, 2267, 343, 513, 6126, 1920, 1272, 269, 589, 18900, 1753, 1272, 568, 519, 5614, 4580, 547, 16180, 938, 1367, 1761, 1107, 621, 568, 519, 6999, 540, 1169, 2385, 855, 621, 568, 1945, 602, 3340, 1445, 267, 4058, 543, 1434, 2792, 547, 3035, 269, 15566, 2542, 454, 763, 1646, 540, 2178, 543, 1689, 762, 4606, 666, 1419, 21383, 936, 883, 2352, 7180, 563, 3528, 3220, 269, 24796, 12448, 338, 267, 11916, 5369, 6048, 563, 763, 6833, 12288, 3828, 657, 1107, 649, 4076, 782, 4862, 540, 873, 267, 543, 1082, 540, 721, 23487, 873, 269, 1809, 1018, 616, 789, 543, 1946, 798, 1082, 267, 855, 711, 782, 267, 1453, 979, 998, 873, 888, 7212, 1572, 519, 15265, 1000, 657, 267, 1082, 3237, 1265, 602, 741, 1126, 6238, 547, 1831, 811, 4101, 1354, 741, 2034, 14512, 269, 898, 1419, 14626, 1938, 609, 4742, 513, 8746, 3802, 518, 543, 6172, 828, 543, 5310, 2348, 513, 1906, 1913, 269, 901, 568, 1100, 14626, 2064, 563, 5978, 1453, 1689, 865, 1454, 936, 519, 1101, 1079, 1296, 269, 21231, 267, 789, 616, 865, 27303, 543, 865, 4625, 8200, 593, 721, 585, 3388, 269, 3683, 942, 789, 1451, 1007, 1983, 282, 12902, 267, 9361, 267, 17875, 1782, 543, 6972, 267, 543, 1007, 2081, 540, 11589, 2933, 267, 689, 24986, 998, 3777, 17331, 543, 1287, 6158, 563, 763, 2038, 30553, 540, 519, 25091, 8401, 1062, 2164, 538, 2048, 329, 684, 1640, 20854, 685, 630, 19925, 476, 1015, 1107, 476, 1240, 3275, 264, 2713, 1272, 2407, 540, 608, 21310, 766, 543, 10761, 267, 8508, 1169, 4161, 269, 1306, 3237, 267, 649, 10508, 538, 891, 7835, 269, 1284, 12837, 543, 5000, 741, 3646, 269, 1284, 804, 777, 607, 789, 1491, 741, 1101, 3268, 543, 616, 10583, 607, 789, 18214, 909, 593, 519, 865, 17304, 585, 519, 1101, 942, 269, 1284, 6432, 32348, 607, 789, 3777, 1076, 693, 721, 267, 543, 11441, 547, 1832, 519, 6643, 2469, 269, 5525, 1397, 602, 15566, 2542, 454, 24309, 676, 3220, 269, 24796, 12448, 338, 267, 4132, 5369, 6048, 454, 2005, 568, 1271, 585, 707, 1126, 547, 1451, 602, 789, 723, 513, 2161, 543, 666, 3310, 519, 1158, 267, 865, 649, 798, 991, 547, 6432, 547, 1018, 938, 1126, 568, 10213, 721, 827, 1018, 789, 1616, 269, 1717, 267, 789, 849, 991, 547, 1451, 602, 972, 616, 7182, 547, 7180, 563, 2171, 2503, 20854, 547, 723, 6266, 540, 2168, 1648, 267, 855, 789, 849, 723, 6266, 540, 3929, 1648, 1107, 950, 789, 1265, 1945, 16168, 789, 666, 1406, 3247, 17254, 326, 1782, 267, 543, 950, 789, 2461, 3444, 649, 2731, 917, 827, 621, 256, 1358, 616, 1869, 3384, 519, 2702, 547, 10038, 741, 4606, 543, 666, 581, 16397, 676, 741, 4664, 269, 901, 568, 849, 3020, 827, 741, 7180, 269, 3502, 1152, 616, 789, 1869, 1565, 1018, 519, 3652, 616, 267, 789, 849, 723, 547, 5706, 519, 20949, 547, 957, 593, 741, 2712, 2471, 563, 11754, 547, 713, 741, 2067, 20949, 547, 2263, 519, 1158, 1472, 873, 267, 543, 621, 779, 1100, 4898, 602, 2048, 339, 15957, 2401, 3125, 685, 666, 6961, 1312, 513, 4898, 543, 513, 4161, 585, 3237, 269, 589, 22525, 779, 6863, 1419, 2882, 2048, 332, 710, 685, 543, 2048, 342, 656, 621, 685, 543, 2048, 7224, 685, 1107, 950, 568, 519, 942, 547, 1577, 873, 723, 1018, 789, 1616, 267, 543, 950, 798, 3237, 991, 547, 1305, 7182, 543, 2161, 2048, 7224, 685, 286, 15566, 2542, 454, 3528, 31240, 9627, 7338, 267, 9977, 532, 16869, 454, 288, 2603, 540, 20854, 4043, 547, 4584, 741, 9224, 950, 789, 616, 13110, 610, 19252, 454, 2108, 8923, 1491, 707, 3946, 856, 540, 707, 27890, 28461, 2108, 1805, 641, 16116, 707, 9224, 28461, 296, 4749, 2911, 547, 3237, 945, 616, 751, 2130, 741, 4552, 856, 936, 6208, 741, 2370, 3283, 616, 3384, 602, 789, 18418, 2299, 1616, 547, 3247, 269, 898, 9327, 1406, 581, 3833, 865, 3983, 952, 789, 1152, 1705, 621, 693, 1753, 269, 1809, 20854, 2356, 4688, 741, 1034, 4550, 1606, 3469, 7180, 585, 2027, 8090, 1107, 609, 741, 22594, 267, 693, 519, 21543, 7450, 267, 7900, 538, 519, 21543, 1404, 610, 693, 519, 2706, 21466, 2638, 719, 563, 2005, 779, 2067, 547, 1745, 896, 2604, 607, 513, 2385, 267, 2523, 952, 707, 22525, 568, 7900, 538, 1857, 563, 12648, 513, 2620, 7362, 543, 3314, 267, 6266, 540, 9583, 5667, 822, 712, 344, 22525, 6208, 616, 1175, 513, 2067, 851, 540, 3395, 909, 269, 1358, 1397, 602, 707, 2370, 835, 568, 3384, 7363, 269, 6145, 1034, 3237, 267, 596, 949, 1205, 2731, 19849, 21724, 630, 18034, 952, 824, 1004, 1294, 621, 4755, 543, 6085, 264, 855, 707, 2370, 835, 666, 1406, 1174, 1018, 782, 519, 535, 1380, 568, 827, 269, 634, 8458, 616, 267, 789, 949, 711, 1256, 917, 789, 2461, 3257, 621, 269, 2659, 22525, 786, 723, 1360, 1114, 2093, 689, 596, 950, 621, 2501, 547, 4550, 1606, 3469, 7180, 269, 1411, 3580, 5469, 602, 713, 3587, 1360, 6654, 1586, 950, 789, 1831, 513, 21717, 269, 15566, 2542, 454, 24309, 676, 3220, 269, 24796, 12448, 338, 563, 2252, 789, 616, 16397, 267, 1287, 4383, 873, 676, 1085, 334, 14563, 873, 538, 513, 2462, 29751, 543, 931, 565, 532, 873, 454, 16485, 1034, 1004, 1018, 789, 1589, 540, 950, 789, 5873, 519, 2262, 2048, 4134, 23002, 685, 543, 789, 1589, 827, 3652, 267, 19439, 906, 267, 6148, 4259, 6302, 269, 1717, 267, 519, 5824, 5169, 540, 519, 2262, 568, 5676, 2088, 267, 2495, 3450, 543, 1565, 1107, 1589, 827, 4906, 685, 2598, 3321, 543, 1018, 9015, 1004, 1353, 693, 2160, 563, 3383, 950, 649, 1589, 827, 875, 547, 3927, 9015, 938, 1453, 267, 649, 991, 547, 1589, 827, 1018, 649, 1616, 873, 547, 1451, 269, 1677, 798, 1134, 693, 1153, 267, 538, 1514, 2516, 543, 538, 2486, 693, 1804, 267, 789, 798, 991, 547, 917, 875, 547, 13789, 1107, 1018, 711, 547, 798, 267, 855, 849, 1018, 547, 798, 563, 3383, 9811, 267, 649, 798, 991, 547, 1305, 6302, 543, 6529, 547, 873, 267, 649, 798, 991, 547, 2161, 2048, 7224, 685, 693, 2053, 543, 649, 949, 991, 547, 11198, 938, 1453, 952, 1919, 1205, 856, 540, 1688, 269, 1809, 649, 849, 991, 547, 2628, 3007, 547, 782, 519, 1919, 789, 798, 1318, 543, 17192, 873, 950, 789, 1118, 606, 4674, 269, 15566, 2542 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]